diff --git a/doc/LectureNotes/_build/.doctrees/environment.pickle b/doc/LectureNotes/_build/.doctrees/environment.pickle
index 5db4f2e57..f75d41510 100644
Binary files a/doc/LectureNotes/_build/.doctrees/environment.pickle and b/doc/LectureNotes/_build/.doctrees/environment.pickle differ
diff --git a/doc/LectureNotes/_build/.doctrees/week39.doctree b/doc/LectureNotes/_build/.doctrees/week39.doctree
index 420e34c60..5c20b62bc 100644
Binary files a/doc/LectureNotes/_build/.doctrees/week39.doctree and b/doc/LectureNotes/_build/.doctrees/week39.doctree differ
diff --git a/doc/LectureNotes/_build/html/_images/week39_153_1.png b/doc/LectureNotes/_build/html/_images/week39_153_1.png
index 2553e4ed5..75cbb585c 100644
Binary files a/doc/LectureNotes/_build/html/_images/week39_153_1.png and b/doc/LectureNotes/_build/html/_images/week39_153_1.png differ
diff --git a/doc/LectureNotes/_build/html/_images/week39_166_1.png b/doc/LectureNotes/_build/html/_images/week39_166_1.png
index 91b413b23..e2318103e 100644
Binary files a/doc/LectureNotes/_build/html/_images/week39_166_1.png and b/doc/LectureNotes/_build/html/_images/week39_166_1.png differ
diff --git a/doc/LectureNotes/_build/html/_images/week39_263_1.png b/doc/LectureNotes/_build/html/_images/week39_263_1.png
new file mode 100644
index 000000000..2ea853578
Binary files /dev/null and b/doc/LectureNotes/_build/html/_images/week39_263_1.png differ
diff --git a/doc/LectureNotes/_build/html/_images/week39_269_3.png b/doc/LectureNotes/_build/html/_images/week39_269_3.png
new file mode 100644
index 000000000..cc2a55be2
Binary files /dev/null and b/doc/LectureNotes/_build/html/_images/week39_269_3.png differ
diff --git a/doc/LectureNotes/_build/html/_sources/week39.ipynb b/doc/LectureNotes/_build/html/_sources/week39.ipynb
index bde575030..a2ce54336 100644
--- a/doc/LectureNotes/_build/html/_sources/week39.ipynb
+++ b/doc/LectureNotes/_build/html/_sources/week39.ipynb
@@ -2,8 +2,10 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "0be56d20",
-   "metadata": {},
+   "id": "014c8f7e",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "<!-- HTML file automatically generated from DocOnce source (https://github.com/doconce/doconce/)\n",
     "doconce format html week39.do.txt --no_mako -->\n",
@@ -12,8 +14,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "41352012",
-   "metadata": {},
+   "id": "0bb320b9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "# Week 39: Optimization and  Gradient Methods\n",
     "**Morten Hjorth-Jensen**, Department of Physics, University of Oslo and Department of Physics and Astronomy and Facility for Rare Isotope Beams, Michigan State University\n",
@@ -23,16 +27,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "471d9b17",
-   "metadata": {},
+   "id": "39af5319",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Plan for week 39, September 23-27, 2024"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "a3f843e5",
-   "metadata": {},
+   "id": "57ff9961",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Lecture Monday September 23\n",
     "\n",
@@ -41,8 +49,10 @@
     "  * Repetition of Logistic regression equations and classification problems and discussion of Gradient methods. Examples on how to implement Logistic Regression and discussion of gradient methods\n",
     "\n",
     "  * Stochastic Gradient descent with examples and automatic differentiation (theme also for next week).\n",
-    "<!-- * [Video of lecture](https://youtu.be/bFRVuIJroHs) -->\n",
-    "<!-- * Whiteboard notes TBA at <https://github.com/CompPhysics/MachineLearning/blob/master/doc/HandWrittenNotes/2023/NotesSep28.pdf> -->\n",
+    "\n",
+    "  * [Video of lecture](https://youtu.be/ISGpTC28Vmk)\n",
+    "\n",
+    "  * [Whiteboard notes](https://github.com/CompPhysics/MachineLearning/blob/master/doc/HandWrittenNotes/2024/NotesSeptember23.pdf)\n",
     "\n",
     "  * Readings and Videos:\n",
     "\n",
@@ -59,8 +69,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b611ff2d",
-   "metadata": {},
+   "id": "4cef25d3",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Lab sessions week 39\n",
     "\n",
@@ -74,18 +86,15 @@
     "\n",
     "  * [Video on how to write scientific reports recorded during one of the lab sessions](https://youtu.be/tVW1ZDmZnwM)\n",
     "\n",
-    "These sections summarize neatly what we have done till now and point to what is coming with respect to deep learning. \n",
-    "  * A general guideline can be found at <https://github.com/CompPhysics/MachineLearning/blob/master/doc/Projects/EvaluationGrading/EvaluationForm.md>.\n",
-    "\n",
-    "  \n",
-    "\n",
-    "<!-- rett opp tyrleif -->"
+    "  * A general guideline can be found at <https://github.com/CompPhysics/MachineLearning/blob/master/doc/Projects/EvaluationGrading/EvaluationForm.md>."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "126f7d60",
-   "metadata": {},
+   "id": "bdae6350",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Lecture Monday September 23, Optimization, the central part of any Machine Learning algortithm\n",
     "\n",
@@ -103,8 +112,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a2682f11",
-   "metadata": {},
+   "id": "8fede05c",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Revisiting our Logistic Regression case\n",
     "\n",
@@ -118,8 +129,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d51c88b5",
-   "metadata": {},
+   "id": "b8a00c23",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\begin{align*}\n",
@@ -131,16 +144,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4a135362",
-   "metadata": {},
+   "id": "5f2ae8d2",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "where $\\boldsymbol{\\beta}$ are the weights we wish to extract from data, in our case $\\beta_0$ and $\\beta_1$."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "26444396",
-   "metadata": {},
+   "id": "43aafb89",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## The equations to solve\n",
     "\n",
@@ -153,8 +170,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9bc5702f",
-   "metadata": {},
+   "id": "a1a11c10",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\frac{\\partial \\mathcal{C}(\\boldsymbol{\\beta})}{\\partial \\boldsymbol{\\beta}} = -\\boldsymbol{X}^T\\left(\\boldsymbol{y}-\\boldsymbol{p}\\right).\n",
@@ -163,8 +182,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a857de8b",
-   "metadata": {},
+   "id": "28e31aff",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "If we in addition define a diagonal matrix $\\boldsymbol{W}$ with elements \n",
     "$p(y_i\\vert x_i,\\boldsymbol{\\beta})(1-p(y_i\\vert x_i,\\boldsymbol{\\beta})$, we can obtain a compact expression of the second derivative as"
@@ -172,8 +193,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dc870dc3",
-   "metadata": {},
+   "id": "3c985328",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\frac{\\partial^2 \\mathcal{C}(\\boldsymbol{\\beta})}{\\partial \\boldsymbol{\\beta}\\partial \\boldsymbol{\\beta}^T} = \\boldsymbol{X}^T\\boldsymbol{W}\\boldsymbol{X}.\n",
@@ -182,16 +205,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4001c458",
-   "metadata": {},
+   "id": "555aa6ae",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "This defines what is called  the Hessian matrix."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "4f3262b4",
-   "metadata": {},
+   "id": "1a1c2b60",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Solving using Newton-Raphson's method\n",
     "\n",
@@ -202,8 +229,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0d94cee2",
-   "metadata": {},
+   "id": "e0247958",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{\\beta}^{\\mathrm{new}} = \\boldsymbol{\\beta}^{\\mathrm{old}}-\\left(\\frac{\\partial^2 \\mathcal{C}(\\boldsymbol{\\beta})}{\\partial \\boldsymbol{\\beta}\\partial \\boldsymbol{\\beta}^T}\\right)^{-1}_{\\boldsymbol{\\beta}^{\\mathrm{old}}}\\times \\left(\\frac{\\partial \\mathcal{C}(\\boldsymbol{\\beta})}{\\partial \\boldsymbol{\\beta}}\\right)_{\\boldsymbol{\\beta}^{\\mathrm{old}}},\n",
@@ -212,16 +241,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d92e7b5d",
-   "metadata": {},
+   "id": "f5ba3a72",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "or in matrix form as"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "076acdca",
-   "metadata": {},
+   "id": "f8a47d6d",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{\\beta}^{\\mathrm{new}} = \\boldsymbol{\\beta}^{\\mathrm{old}}-\\left(\\boldsymbol{X}^T\\boldsymbol{W}\\boldsymbol{X} \\right)^{-1}\\times \\left(-\\boldsymbol{X}^T(\\boldsymbol{y}-\\boldsymbol{p}) \\right)_{\\boldsymbol{\\beta}^{\\mathrm{old}}}.\n",
@@ -230,8 +263,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c37ab3fd",
-   "metadata": {},
+   "id": "506e1a50",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "The right-hand side is computed with the old values of $\\beta$. \n",
     "\n",
@@ -240,8 +275,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4f771526",
-   "metadata": {},
+   "id": "3ad1aa1c",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Brief reminder on Newton-Raphson's method\n",
     "\n",
@@ -258,8 +295,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e13dad72",
-   "metadata": {},
+   "id": "d3d8671f",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## The equations\n",
     "\n",
@@ -272,8 +311,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aff57d4b",
-   "metadata": {},
+   "id": "a2e68cbb",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "<!-- Equation labels as ordinary links -->\n",
     "<div id=\"eq:taylornr\"></div>\n",
@@ -286,8 +327,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "38304c1d",
-   "metadata": {},
+   "id": "d7fd3b46",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "For small enough values of the function and for well-behaved\n",
     "functions, the terms beyond linear are unimportant, hence we obtain"
@@ -295,8 +338,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8da576a0",
-   "metadata": {},
+   "id": "465903ba",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "f(x)+(s-x)f'(x)\\approx 0,\n",
@@ -305,16 +350,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "46d9c588",
-   "metadata": {},
+   "id": "92a910da",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "yielding"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "3a3ca58b",
-   "metadata": {},
+   "id": "e9ed41e4",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "s\\approx x-\\frac{f(x)}{f'(x)}.\n",
@@ -323,16 +372,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0c9c700f",
-   "metadata": {},
+   "id": "742eaaea",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Having in mind an iterative procedure, it is natural to start iterating with"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "b273b273",
-   "metadata": {},
+   "id": "1eabaea3",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "x_{n+1}=x_n-\\frac{f(x_n)}{f'(x_n)}.\n",
@@ -341,8 +394,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3e0a875b",
-   "metadata": {},
+   "id": "532422db",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Simple geometric interpretation\n",
     "\n",
@@ -361,8 +416,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "727cfd55",
-   "metadata": {},
+   "id": "98a519bb",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Extending to more than one variable\n",
     "\n",
@@ -372,8 +429,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f78349b5",
-   "metadata": {},
+   "id": "8dd900d6",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\begin{array}{cc} f_1(x_1,x_2) &=0\\\\\n",
@@ -383,16 +442,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2ee16c9e",
-   "metadata": {},
+   "id": "eb544f9d",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "which we Taylor expand to obtain"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "f95fdb8b",
-   "metadata": {},
+   "id": "7b83fe06",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\begin{array}{cc} 0=f_1(x_1+h_1,x_2+h_2)=&f_1(x_1,x_2)+h_1\n",
@@ -407,16 +470,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3f039432",
-   "metadata": {},
+   "id": "7e03330a",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Defining the Jacobian matrix ${\\bf \\boldsymbol{J}}$ we have"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "dbd20795",
-   "metadata": {},
+   "id": "8b6bbcc0",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "{\\bf \\boldsymbol{J}}=\\left( \\begin{array}{cc}\n",
@@ -428,16 +495,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "98ba6676",
-   "metadata": {},
+   "id": "942ef368",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "we can rephrase Newton's method as"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "ad52dad5",
-   "metadata": {},
+   "id": "8d383d9e",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\left(\\begin{array}{c} x_1^{n+1} \\\\ x_2^{n+1} \\end{array} \\right)=\n",
@@ -448,16 +519,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cc09e475",
-   "metadata": {},
+   "id": "f3cbe6ed",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "where we have defined"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "7a1c0547",
-   "metadata": {},
+   "id": "c4086d22",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\left(\\begin{array}{c} h_1^{n} \\\\ h_2^{n} \\end{array} \\right)=\n",
@@ -468,8 +543,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9fe4208b",
-   "metadata": {},
+   "id": "e6317de3",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "We need thus to compute the inverse of the Jacobian matrix and it\n",
     "is to understand that difficulties  may\n",
@@ -481,8 +558,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2a81e02b",
-   "metadata": {},
+   "id": "edf2bfe8",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Steepest descent\n",
     "\n",
@@ -496,8 +575,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f90232dd",
-   "metadata": {},
+   "id": "a7fb938f",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\mathbf{x}_{k+1} = \\mathbf{x}_k - \\gamma_k \\nabla F(\\mathbf{x}_k),\n",
@@ -506,8 +587,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4fb8b51e",
-   "metadata": {},
+   "id": "d847b9be",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "with $\\gamma_k > 0$.\n",
     "\n",
@@ -518,8 +601,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "81da0301",
-   "metadata": {},
+   "id": "9b5b4acb",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## More on Steepest descent\n",
     "\n",
@@ -531,8 +616,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9b1a0014",
-   "metadata": {},
+   "id": "ce9525ec",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\mathbf{x}_{k+1} = \\mathbf{x}_k - \\gamma_k \\nabla F(\\mathbf{x}_k), \\ \\ k \\geq 0.\n",
@@ -541,8 +628,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "52e8d174",
-   "metadata": {},
+   "id": "54d2e571",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "The parameter $\\gamma_k$ is often referred to as the step length or\n",
     "the learning rate within the context of Machine Learning."
@@ -550,8 +639,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "be802e47",
-   "metadata": {},
+   "id": "c35ee552",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## The ideal\n",
     "\n",
@@ -576,8 +667,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c2404539",
-   "metadata": {},
+   "id": "2f025ad9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## The sensitiveness of the gradient descent\n",
     "\n",
@@ -596,8 +689,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f96c6cdf",
-   "metadata": {},
+   "id": "80f3bd26",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Convex functions\n",
     "\n",
@@ -616,8 +711,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0deb328b",
-   "metadata": {},
+   "id": "199afe72",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Convex function\n",
     "\n",
@@ -635,8 +732,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "74dc1b02",
-   "metadata": {},
+   "id": "26f4fb05",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Conditions on convex functions\n",
     "\n",
@@ -672,8 +771,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bc8bc23c",
-   "metadata": {},
+   "id": "ef861245",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## More on convex functions\n",
     "\n",
@@ -698,8 +799,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b004d0d8",
-   "metadata": {},
+   "id": "989686b9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Some simple problems\n",
     "\n",
@@ -726,8 +829,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "004c656f",
-   "metadata": {},
+   "id": "8f0a01ed",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Standard steepest descent\n",
     "\n",
@@ -744,8 +849,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3055088e",
-   "metadata": {},
+   "id": "098985af",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{A}\\boldsymbol{x} = \\boldsymbol{b}.\n",
@@ -754,16 +861,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9d268d89",
-   "metadata": {},
+   "id": "ca3b1849",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "In the iterative process we end up with a problem like"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "c8dbe560",
-   "metadata": {},
+   "id": "a9026b79",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{r}= \\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x},\n",
@@ -772,8 +883,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fd2de293",
-   "metadata": {},
+   "id": "dff64482",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "where $\\boldsymbol{r}$ is the so-called residual or error in the iterative process.\n",
     "\n",
@@ -782,8 +895,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "25344346",
-   "metadata": {},
+   "id": "502eba66",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Gradient method\n",
     "\n",
@@ -792,8 +907,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c1b8855c",
-   "metadata": {},
+   "id": "fde7d2c9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "P(\\boldsymbol{x})=\\frac{1}{2}\\boldsymbol{x}^T\\boldsymbol{A}\\boldsymbol{x} - \\boldsymbol{x}^T\\boldsymbol{b},\n",
@@ -802,8 +919,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "506aceb6",
-   "metadata": {},
+   "id": "636a5eb2",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "with the constraint that the matrix $\\boldsymbol{A}$ is positive definite and\n",
     "symmetric.  This defines also the Hessian and we want it to be  positive definite."
@@ -811,8 +930,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "53b26051",
-   "metadata": {},
+   "id": "ce3be231",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Steepest descent  method\n",
     "\n",
@@ -822,8 +943,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "06b0db34",
-   "metadata": {},
+   "id": "f87ac8d2",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{x}_0=0,\n",
@@ -832,16 +955,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0d9ddd86",
-   "metadata": {},
+   "id": "7961c3fc",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "or consider the system"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "66dff86c",
-   "metadata": {},
+   "id": "9ae1698c",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{A}\\boldsymbol{z} = \\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x}_0,\n",
@@ -850,16 +977,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "77c18c22",
-   "metadata": {},
+   "id": "b5e2f728",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "instead."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "9dfad29a",
-   "metadata": {},
+   "id": "f3d7aa36",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Steepest descent  method\n",
     "One can show that the solution $\\boldsymbol{x}$ is also the unique minimizer of the quadratic form"
@@ -867,8 +998,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "50edf2f9",
-   "metadata": {},
+   "id": "2acb11da",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "f(\\boldsymbol{x}) = \\frac{1}{2}\\boldsymbol{x}^T\\boldsymbol{A}\\boldsymbol{x} - \\boldsymbol{x}^T \\boldsymbol{x} , \\quad \\boldsymbol{x}\\in\\mathbf{R}^n.\n",
@@ -877,8 +1010,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "51d84a77",
-   "metadata": {},
+   "id": "ee51e96c",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "This suggests taking the first basis vector $\\boldsymbol{r}_1$ (see below for definition) \n",
     "to be the gradient of $f$ at $\\boldsymbol{x}=\\boldsymbol{x}_0$, \n",
@@ -887,8 +1022,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f3179c0a",
-   "metadata": {},
+   "id": "921a7d11",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{A}\\boldsymbol{x}_0-\\boldsymbol{b},\n",
@@ -897,8 +1034,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "66bc0e76",
-   "metadata": {},
+   "id": "30f50187",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "and \n",
     "$\\boldsymbol{x}_0=0$ it is equal $-\\boldsymbol{b}$."
@@ -906,8 +1045,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9be63d8b",
-   "metadata": {},
+   "id": "268a19dd",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Final expressions\n",
     "We can compute the residual iteratively as"
@@ -915,8 +1056,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "07294b6e",
-   "metadata": {},
+   "id": "bc9ef63b",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{r}_{k+1}=\\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x}_{k+1},\n",
@@ -925,16 +1068,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5cb13e3a",
-   "metadata": {},
+   "id": "4b2a66e9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "which equals"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "b95b4415",
-   "metadata": {},
+   "id": "cc10185f",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{b}-\\boldsymbol{A}(\\boldsymbol{x}_k+\\alpha_k\\boldsymbol{r}_k),\n",
@@ -943,16 +1090,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "90956a95",
-   "metadata": {},
+   "id": "bfea4d71",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "or"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "d4675379",
-   "metadata": {},
+   "id": "0db69549",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "(\\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x}_k)-\\alpha_k\\boldsymbol{A}\\boldsymbol{r}_k,\n",
@@ -961,16 +1112,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6e3a1c20",
-   "metadata": {},
+   "id": "e950ac57",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "which gives"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "e9b86a0a",
-   "metadata": {},
+   "id": "0d0be156",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\alpha_k = \\frac{\\boldsymbol{r}_k^T\\boldsymbol{r}_k}{\\boldsymbol{r}_k^T\\boldsymbol{A}\\boldsymbol{r}_k}\n",
@@ -979,16 +1134,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a1fd88cc",
-   "metadata": {},
+   "id": "5a44b7f9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "leading to the iterative scheme"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "39f090b1",
-   "metadata": {},
+   "id": "7fcb3188",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{x}_{k+1}=\\boldsymbol{x}_k+\\alpha_k\\boldsymbol{r}_{k},\n",
@@ -997,8 +1156,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0ad69506",
-   "metadata": {},
+   "id": "59681f93",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Steepest descent example"
    ]
@@ -1006,30 +1167,12 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "4a529fa4",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "<mpl_toolkits.mplot3d.art3d.Poly3DCollection at 0x11f758f40>"
-      ]
-     },
-     "execution_count": 1,
-     "metadata": {},
-     "output_type": "execute_result"
-    },
-    {
-     "data": {
-      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAZcAAAGOCAYAAABbv05eAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9hAAAPYQGoP6dpAAEAAElEQVR4nOz9eXgkaX0lCp/c933flVpLS6lUVaoqSdVNYxgY8AwfBn82gxkP2B7ssTFzMZ8vXOPxXOb6YjBje/A2mJnrBWxjvMEd20ADdrvXKqlKVaV9S+1rKpXKTKVy3+L7IxWR7xval+6qbuI8Tz3dqYyMiIzMfE/8lnN+IoZhGAgQIECAAAEXCPHjPgEBAgQIEPDGg0AuAgQIECDgwiGQiwABAgQIuHAI5CJAgAABAi4cArkIECBAgIALh0AuAgQIECDgwiGQiwABAgQIuHAI5CJAgAABAi4cArkIECBAgIALh0AuAgQIECDgwiGQiwABAgQIuHAI5CJAgAABAi4cArkIECBAgIALh0AuAgQIECDgwiGQiwABAgQIuHAI5CJAgAABAi4cArkIECBAgIALh0AuAgQIECDgwiGQiwABAgQIuHAI5CJAgAABAi4cArkIECBAgIALh0AuAgQIECDgwiGQiwABAgQIuHAI5CJAgAABAi4cArkIECBAgIALh0AuAgQIECDgwiGQiwABAgQIuHAI5CJAgAABAi4cArkIECBAgIALh0AuAgQIECDgwiGQiwABAgQIuHAI5CJAgAABAi4cArkIECBAgIALh0AuAgQIECDgwiGQiwABAgQIuHAI5CJAgAABAi4c0sd9AgK+v8AwDMrlMvL5PCQSCfdPLBbucwQIeCNBIBcBrxkYhkGxWESpVEI+n+f+LhaLIZVKIZVKBbIRIOANAhHDMMzjPgkBb3yUy2UUi0VUKhWIRCIUCgWIxWIwDAOGYVCpVMAwDEQiEUQikUA2AgS8ziGQi4BXFQzDoFQqoVQqAQBEIhEXwYhEogO3Z4mGBbudXC6HTCaDVCo98LUCBAh4ciCkxQS8aqhUKly0AoCLSljiYCMVEiKRCBKJhHvMkk1/fz9aWlpgNBohFoshkUio6EYgGwECniwI5CLgwsESQrFYpFJd/G1OQggs2bD/lUgk3L4LhQJEIhFHNjKZjNtGIBsBAh4vBHIRcKFgU15jY2Ow2+2wWq0XstCz+zgssuGTDb9mI5CNAAGvLQRyEXBhYBf5crmM3d1dmEymAxf1VCqF1dVV6HQ6mEwmyOXyY/dNptP4f2fJhn2+UqmgUCggn88LZCNAwGOCQC4Czg1Wu1IqlVCpVCAWiw8kA4ZhsLa2hsnJSZhMJmxvb2N8fBxarRYmkwlGoxFGoxEymexM58EShkA2AgQ8fgjkIuBcYNNg5XIZADhiYduMWZRKJYyPj2N7extXrlyBXq+HSCRCsVhEIpFAPB7H3NwcMpkMF9GYTCYYDAauO+y0jY0HkQ37L5/Po1AocOcskI0AARcLgVwEnBlsREBGKyRYMtjZ2cHw8DBUKhVu374NuVzOiSjlcjnsdjvsdjsAIJ/PIx6PIx6PY3p6Gvl8HjqdDoVCAbu7uzAajVTN5TQgGwskEsk+siEjG7blmdXYCGQjQMDpIOhcBJwabBqM7QY7aPEdHByEzWYDwzAIhUJoaGhAMBjkIhA2ajhu0c5ms0gkEgiFQhCJRCiVSjAYDFwazWAwXJjAkiSb3d1dzM/Po7OzUyAbAQLOACFyEXAqVCoVlEqlfWkwPhiGwcrKCkqlErq7u2EymY7d98pmFD6HlfqbSqWCSqXCysoKgsEgNBoNF9msra1RZGMymaDT6c5MNmRkIxaLkclkuPReLpfjtuFrbASyESBgPwRyEXAinES7wiIWiyEej0OtVuP27dsnKtAzDIP3ffK38N9/6afR1VK373n2WGq1Gmq1Gh6PBwzDIJPJcGSzvLwMhmFgNBq5yEan051r4WeJikyjVSoVjmzEYvG+mo1ANgIECOQi4AQ4yMLlsGhldnYWi4uL0Gg0cLlcJ+782ojGsbK5jQ/+59/F13/zf0eD13nsa0QiETQaDTQaDbxeLxiGQSqV4hoEFhYWIBKJOLIxmUzQaDRnXvgPq9lUKhXk83nkcjmBbAQI2INALgKOBKldYYvdByGXy2F4eBiFQgE9PT2Ym5s71XHG5lYAALFkCh/45d/GN37zE3BZa6m0k3SLiUQi6HQ66HQ6+Hw+rnYSj8exvb2N+fl5iMViimzUavWFkA1Qq9mUy2VurADZIMCm046K+gQIeKNAIBcBB+Iw7cpBiEQiGB0dhd1ux/Xr18/UOjw+t8z9/1okho//5p/gv//Sh2HSa6lzOg1EIhH0ej30ej0CgQAqlQpHNltbW5idnYVUKuWIxmg0QqVSnZtsWAImyaZUKnHPH+SLJpCNgDcaBHIRsA+HaVf4qFQqmJ6exurqKtrb2+F2u7nnTksubOTColAq4cd/5Xfxtc/+ArRq5YUsvmKxGAaDAQaDAXV1dSiXy0gmk4jH49jY2MD09DTkcjlMJhOUSuWpyYyPw8imVCpxrtAs2ZC+aMJ4AQFvBAjkIoBCuVxGLpfjFsXDFvV0Oo3h4WEAQF9fHzQaDfX86SMXmlyYCoPhmUX8xKd/H1/51Y9W/3bBXfMSiYSLWoDqe9/Z2eEim2KxiLt371JpNIVCcebjHUc25XIZkUgEfr9fIBsBr3sI31oBAGpF+2g0ihdeeOFIYllfX8edO3dgMpnQ09Ozj1iA05FLPJnCWiRG/W07mQIA9I/O4D985ksolSunfEenh0QigdlsRkNDA1pbWyGTydDU1ASZTIaVlRW88sor6O/vx/T0NCKRCKfVOStIKxqZTIZKpYLZ2VmUSiVkMhns7u4imUwilUohl8tR4wsECHjSIUQuAqg0GEsKBxFLqVTC5OQkIpEIrly5wqnqD8JpyIUftUjEIqyEo9zj5+6PQS1h8Kmfcp3wHV0MRCIRrFYrrNaq9oa0qllYWEA6nYZWq6Van8/qi8Yej53CCdQiG9LxWZjSKeD1AoFcvs9Bjh9m56IcdHecTCYxPDwMuVyO27dvQ6lUHrnf05ALv97id9mwsBap/YFh8E8Pp1GofAP/4z9/BBLJ41lMZTIZbDYbbDYbAKBQKJzIF+2k4F+vg9JobPdesVjktiHJRpjSKeBJgUAu36fga1cOM5xklfbT09MIBoNoaGg48ZCvo8iFfJ7sFAMAi0FHkYvLZsbGVgzfHRjF//6Fr+A3fuHfPRF36yf1RSPJ5ihftOMGqJ1klg1JNsKUTgGPEwK5fB+CP36YXKjZRZ8ln7GxMSQSCVy/fh1ms/nExxCJRCeuD2RyBcikEhRLbHcavRg6LUZsbFVrMn/9vTtQKWT41Z97/xNBMCQUCgWcTieczqoAlPVFi8fjmJycRKFQgMFg4NJoB/minYYITjo4TZjSKeBxQCCX7yOQi89h2hX2cTwex8jICHQ6HedkfBqcdAFLZXL43sAorrbU4dH0AhiGQTKVpbaRy+iv6fDMIj71u3+OX/voB544giHB+qK5XC4wDINsNot4PI5EIoH19fV9vmjnXfSFKZ0CniQI5PJ9gpNqV9i/DQ4Oorm5GYFA4EyLz0kjl/H5FTAMg4dTC7jZ0YB7Y7NYDm9R22RzeeqxSiHHn3/7RVQYBp/7j//2iSYYFiKR6EhftJWVFZTLZTAMg6WlJc6E8zwLvzClU8DjhEAu3wcgLVyOajHO5/OcdqW7u/tUaTA+TrpAjYZq9ZZ7Y3N4+lorXno4WduAYbC6uU29JpuvtgD/xbMvoVyp4L9+7MmowZwGB/miRSIRTE5OYmdnB0tLSwBwob5owMFTOicmJiCXy+H3+wWyEXBhEMjlDYzTWLhsbW1hdHSUIxStVnvgdifFcZHL7u4uFAoFRmfpYn4qncPN9kbcG58FAFiMOmwndqltwtE49/9/9d1XYNFr8YmfeA+kZxwi9iSAjWwkEgk6OztfE180AFx3IBvlsCacwpROAeeFQC5vUJzGwiUUCmF5eRmtra1wuVwIh8MXYn1yEMrlMiYmJrCxsYFKpYJ7o9PU83KZFANjIXS3NWBwYg4eu5kiF71Gjc3YDvWarz83gJVwFL/9yX+/rz7zegJ5zU/ji8YSzll90cgRCiyBHDelk217FhyfBRyG1+8vUcCh4GtXDvvxZzIZDA8Po1KpoLe3F1qtllvgLoJc+JFLKpXC0NAQpFIpenp6kM7msfYbf0VtsxmtpsAeTMyhq7kOCjn9FfU5zRifS3OPdRoVNrcT+IeXHiCbL+APfuVnoZSfXcj4uHHYZ8X3RatUKpxVTTgcxszMDOeLxv47TovEgp0myj+Pg8YL8AenCVM6BRwGgVzeQCC1K4eNH2YRDocxNjYGt9uNlpYWLhfPbn9emxH+cdfW1jAxMQG/34/GxkaUy2UMz66A5jAGkURq7/+AkdASLgfd1H60ahX12O+wYjxVFWH+071R/Idf/SJ+/1M/DY3qZAvrk4TTELpYLD7UF21tbQ1TU1NQKBQU2Rzmi3acvgY4OdkIUzoFsBDI5Q0CtguIzZ8f9qMul8uYmprCxsYGOjo6OE0GidOaTh4Edh9sGiwSiaCrqws2m437+2hoiXqN22bG+lbNY6zCMNjcSaHebcX8etUOZmcnSb1Gq6ZJZDOWwL/55G/iK//3/0bZ9b9ecNaFmPVFY2tmpVIJiUQCiUQCKysrmJiYgFqtpsYLsO3lJyGXg87zsMFpAtkIAARyed2D/UFns1n80z/9E97ylrccqkkh01K3b9+GSqU6cDu+Sv8sEIlEnKswezx+moZfzHdYjBS56DVqhLd3oJBLUeeyYHFjG4k0rYFJ7hlcstCqlOgfncEP//9+HX/+a78Al+3sHW+vNS7S9VkqlR7ri6bRaGAymZDP5y8kUhWmdAogIZDL6xj8ov1R262urmJqagqBQACNjY1Htu6eRl1/GNgUTV1dHZqamg48XjZXhFgsQqVSXVTlUrrby++0YGwug3yhhHAsiSafA7Orm9Q2iVSGPm6yWvwPLW/gPR//HP7s134Bjb7X1vDyPHi1FtqjfNHS6TRmZ2exubnJRTVGo/FUvmh8nGRKZzKZhFwuh9FoFKZ0vgEhkMvrFHztCrsQ8EmhWCxifHwcsVgMV69e5e5kj8J5Ihc2Dba5uQmdToeWlpYDt0tlcvhO/zCuX6rH/YnqSOTdTI7ahqyb5AolVCoMGn1OhJY3AABKuQzhGJ0m207Wiv1rkRg+/uv/Ex/7wL/Cm25cOddi+VrgoufVHAXSFy2dTsNqtUIulyMej2NmZubUvmjH4SATztXVVej1eigUCmFK5xsQT/avTcA+HKVd4UccOzs7GBoaglqtxu3bt0886OqsNRcy7dbY2IhoNHrotqOzy2AYBoOT87h1uQkDozNY4SnzC8US9VijUmBuLYJmvxszy+sIuGyYXlznnteqlIjEabJZWN/Ch3/1S/i5H3oKb77eTi2WT6Lw8nEspAzDQC6XU75ouVyOcw9gfdH0ev2FXT/2fbKzbI6a0slPowl4fUAgl9cRjtOuiMViVCoVMAyDxcVFzM7OoqGhAcFg8NSGiKdNi5HdYE1NTdjY2DiSoIZnFrn/HxgN4emrrXjp0SS1zTohlgSqUVk6m8dqZBstATcMWjX1vM9pxeRCzb7fbNAitqeR+Z2vvwi5Soe3XFNSvl5ms/lCrFYuAq9l5MI/Lv+9K5VKuFyuE/ui6XS6Uy/8bPMJIIyEfiNCIJfXCchusKN8wQqFAqamppBOp3Hjxg0YjcZTH+s0abGDusHYczmaXGqdYiKRCKlMnhNOAntiye0E9ZrYXsorkytgZXMbNpOBel6vpRsUvHYzRy6VCoO/+G4/dvMlfPIn3otcLodYLIZ4PE5ZrbBk87gW+scVuRxn9X+cL1qlUtlHNse9F/a7fNgxjyIb4GD3AIFsnhwI5PKEg02DFYvFY7UrAPDo0SOYzWb09fWdeSriSdNi/O4zshvsuH2M8NqQ5TIp7o2HcLUliEfTC1wxn4VCJsEGQTaZXAHRxA7aG3zcJMsSr7FBxUsD2sx6fPGvnsXiegS//Yl/D5/PB5/PR1mtsOp3iUSCcrmM9fV1Tv3+auNJilyOwkG+aOl0miMbvi+a0WiEVqvdd4yDxJtHHfMgsmEdnwGBbJ40COTyBKNSqaBUKp3IwmVubg6lUgl1dXVoaWk5t5vucWkxfhrsIIX3YYvl9k4KKzwzymQ6A4ap1mI6Gv3QKGlicFmNWFyv1XDkUglCy2FIxCJ0NgUwElra50HGr9nI9wr63375IdYin8cf/ZePwmExHmi1srGxgVAohI2NDUxPT0OpVFKCxNOOIDgpnsTI5TiIRCJotVpotdp9ZB2LxQ71RSPTYmc5Jp9shCmdTxYEcnkCQf5QSN+ng5DNZjEyMoJCoQCFQgG73X7uH9BRabHD0mB8HEUuZL2lui2wuF4t5pfKFYSWN9DdWk9to1PRZON32TC7soFypWrbf72tAY+m5qhtwryaDdmNNjKziE/+9pfxC//2/4MrzUFqO7FYDJ1OB4lEguvXr3OCRPaufHx8HBqNhkuhnbdtl8XrJXI5Dif1RSuXy4jH49BqtWf2RSOPedgsm4PIRpjS+epDIJcnDPzxw0cRy+bmJsbGxuBwOHD9+nXcvXv33PoU9pgHLXRHpcFOug8AGJpeoB77nVaOXAAgXyhhdXMbzX4XZvbajlktDAuzQQvs1e7LlQp2Umlcb23A/T03ZZ1aiQ0eufDnxMyvhPHej38Ov/Hxn8B73tJz6HvhCxJJjUgoFEIul7uwtt3XY+RyHA7zRRsdHeUaBEhfNKPReO405FFkE4/HEYlE0NjYKEzpfBUhkMsTBFK7Qob8B203NTWF9fV1tLe3w+WqigTZbrHz4qC02HFpsIP2cRi5TC2sUY+tRj1FLiadBkvhKLQqBRq8TsythrliPguGTzZ6Le6NhXDrcjMGRmfgc1gxMV/rHHNajQhHE9xjmVSCpY0tlCsVfPRz/wMT88v45Id+GFLp8aRAakQAum13YmLizJ1Ub5TI5TiwvmhSqRTNzc3Q6/Vn9kU7KUiyKZVKiMfjVM2G/b0J4wUuDgK5PAE4zdyVdDrNDfTq6+uDWl1rx70ITzD+fk6aBjtqHyQYhkFoeQN2swGRPet8Me+9+p1WxHdTSGXzEMV3cKnOjelFmpCiO3R9pcIwAEQYGK0SDM8RE06riSKXgNuO0HJNI/O337uDibkV/N4v/cypPcn4bbtkJ9XyclXPQy6URw39elyRy+MofLPf9YN80ViyOc4X7bzHBYQpna8WBHJ5zDjp3BWgFj34fD40NzfvWxAuKnJhay6nSYPxcRi5LIejmFpcg99phUGrxk4qgxjPH0yprHW57aazEDsscFtNWNuqprnkUgmWN+gUF1nMHxgN4S03OyARi1Heux4KXuccn0DcdjNeGBzDD37kv+B//OePIOA4myfZQZ1UqVQKsVgM29vbmJubg0Qi4RZKs9nMpYC+XyIX8rgHkZpUKoXFYoHFYgFA+6ItLi4ilUpxvmgs2ZymM7JSqVApM9ITjT0vdjuBbM4OgVweIyqVCjY3NxGPx1FfX3/oF7VUKmFiYgJbW1tHRg8XmRaLxWKYnJw8cRrsoH0ctFg+mpoHUCWZRp+zOjOeRxSZbJ56rFWrsByOwmszYXUrjoDbxlnAANU2Zv4+QkvraGvwYXZ5A9l8gRuNXAN9bsq9O+GVcBQ/9L99Bv/lZ/8NAsbzd4SJRCLodDrodDquuJ1MJqk5LGwKiDV8fK3xuMjlpN1iR/mizc3NIZPJQKfTUa3PRzVYHKWvAY4mG2FK58khkMtjAKldSafTiEajaGhoOHDbZDKJoaEhKJXKcxXRT4pyuYxUKoVisXiqNNhJz+XhZK2YP7sSxs2ORjycnCe2YLASpm1jSqUyUpkcGIZBvcexL+qoc9kxs1RLcamVcqxsbmNlcxsNPidiiV2sRejW5zgvWsrmauSTL5bwl995BVqFBNe7b0KtOl++nwTbkms0GhEMBlEul7mFMhKJIJfLYWBg4Mx35WfBkxa5HAd+zSufz3NpyJM0WLB+fCcFSTYHTekkyUaY0lmDQC6vMfhpMKlUemC0wTAMlpeXMTMzg/r6+iMjGxbnjVzYNFi5XEZdXd2ZiQU4glym5uk/MEBHox/DM4uoVBg4LUaEecr8zVj1cTqbx5Z4Fy6rkXreqNNQjwMuO2cDM7cSRqPXiXyhiG1UU2dikYhqIACA9S2afLZ3dvEoHMW/+vn/C1/8Tz+LS0HvSd72qSGRSLgUkFarxcrKCgKBwL67crbt+bwGkgfhcZAL2711EcdVKBSn8kU7Lbnwcdh4AWFKJw2BXF5DHDR++CBCKBQKGBsbQzKZxPXr17lC53E4D7mQ3WCZTObcC9hB5FIolvYNCNtJJjG9EkFXcwCPphfhtpkoctFpVFiL1Ga87Kaz2N5JceaVAFBh6PfMt4HRqJTYjCXQVu/DxPwK/G4bFtZq1v1mvRZbhOGlXCbF6p7IM7S8jnd99Ffx6Z99P37sB5951RcHiUSy766ctalhF0q2E81sNp/J04uPx0UuAF6VRoKDfNHY6HB9fR3FYhEymQyLi4tn9kUjIZDNwRDI5TUAX7tCfqn4hBCPxzE8PAy9Xo++vr5TdcWcJS12UDfYyMjIhU2iJDE2u4Q8TzWfSFd/fEMzS2jx2ZDP07b7AacVY3O1lmKlXIaZ5XUoZDK01XsxMb+KaJzuHCuWaBsYpUKG3XQW04tr6G5vBMBQ5OKxWxAjus8CbjtCRJrNZtLjk//tT/DcvRH814//BMwG3SmuxMlx0DVXKBQHGkjG43Gsrq6iUqlQyveDbFZOctw3ErmQIH3R3G43GIbB9PQ00uk0dnd3z+yLdtwxDyOb5eVl7O7uchqbN/LgNIFcXmWw2hWWQPiiSNLJeH5+HvPz82hubobf7z/1F+20kcth3WAXUbvh7yObzeIbz/4ztY1eo8YmMY9lZjWKm2119H54UUmdx46p+VVk8wXMrmyiqyWIEZ7iP7KXRmOR2yvmlysVDI7P4q23Oqnz0/BqKiYdXdOxmQ1Y3tjCd155iKGpeXzhkx/G09faj74AZ8RpDSRTqRRHNgsLC5yGhP13nPKdXfRe60WN/D28lmD1Lnq9Hk1NTUf6orGkfRbC5h+TfT0rOWB/q2/kKZ0CubxKIBXBR2lXxGIxyuUy7t+/j1wuh1u3bkGv15/pmKchl6NEkSfxFjsO5OK9tbWFkZERzIdpxXzAZcHobIZ4DTAyu4ZbHU0YGAsBAIo8M0oZcQkLxRKyuTyuNNfh0VS1UUCjUnApLQAAw2CVV8xf3YyisymA0PIGMrk88oUi9TzD6ySTEinCze0EfufP/g7feeUhPvXvf/RCi/2nJXSyE83v93M2K7FYDJubm5iZmaGU72azeZ8YkT3mGzVyOQiVSoXrJjvMF40cCX2QL9pZr1e5XN5nqMkSPDml86DW59cb2Qjk8irgNNqVZDKJQqEApVKJa9euncuj6iTkchJR5HkmUZKoVCoIhUJYXFxEW1sbxM+PQyoRo1SunqOaZ05Z57Jhfi2CgbEQRzBbCVqZz3c+VsokeDS9gBvtjbg/PouAy0Yp8y1GPbYTtehIJAKW1iPIFYrwO60oVTT7PMjiO3Qn2W6aHqWcyubwJ//rH/H84Ci+8IkPo7u96ZRX5nCcZ/EgbVbYTjRWjLi6uorJyUlKjGgymbhF7vslcgGqv4HD0s2kLxpJ2HxfNJJsTuOLxpIL/5gHOT6TZPP+978fH/zgB/H+97//fG/+NYRALhcM/vjhw750lUoFMzMzWFlZgUgkQmdn57mPfVw666SiyItIi5VKJTAMg42NDfT09CBXYvC9/hF0t9ZzM1vSPD2L1aTH/FoEgAgDYyE81XUJLw9NUdskUnRNhnU+vj8+i46gGxIJfb29DgtFLgGXHYvr1XrLcjgKp8UAq8nA+ZBJxGJaM8MwPMEmg9XNaqv04tom3vOxz+Dn/82/xkd/7F3njmIuWuNCKt8bGhooMeLCwgLGxsag1VZTgIlEAhaL5cI70Q4D2yn2uPQ1J42YDvNFSyQSB0aHx/miHUQufBxENuFw+Ikf083H6+tsn2CcxsIlk8lgeHgYlUoFV69exYMHDy7kHNgU20E4jTfYedNi8Xgcjx49AlC1qJFKpXjlTvXx4OQ8ei43o390Bks8PQttTinCbiaHmx2NuDdWNaPUqBT7zCiT2QK7OcYW13GjJUA9L+aluKwmPUcuAGA1GjAaWkbP5Rb0j04j4LJhnij2ux0WrBNpNpvJiK14gnts0mvxu1/9e/yvf+7Hr//CT+Dp6+erxbyaiy1fjJjP5xGNRjE9PY1QKITx8XHo9Xqu7Vmv179qaavHZTkD7FfonwZkTYsfHZ7EF+2oqOkwiEQiZDIZyurp9QCBXC4Ap0mDbWxsYHx8HG63Gy0tLZyt/kUUVcViMWcvzuIs3mBnjVwYpjZeORgMckO3AHDRCgD0j4XwpmttePHhBPV61muMhVIuo1JkLrMes4RtfrVNmVdP2d7B1Uv1GJtdQrFUxm6KTquVS/T10air0Vv/6AyuNAehVikocnGajRS5uO1mily8ditiiV0sb2zh/Z/4PD78w/8SH/3Au87UUfZaq/MVCgVsNhump6fR09ODQqHAzWBhO9HItufzFrZJXJTG5azHvihiO40vmtFoRKlUOjWxsU0HOt2r06X4akEgl3PiIO3KYdtNTk5ic3MTly9fhsPh4P4OnO9uigWfFM7qDXaWmkuxWMTY2Bh2dnZw48YNKJVKzM7OcqRJkgsAZHJ53GhrwP29v2tVCizzIplkOgsAGBgLoavRty8qq7YpL3OPDVo1Nrbi2NiKozXoxUo4ilgqS70mGqcJLEOQ1fDMIt50rQ0NPifmVsIAqpoXEioFrZZXK+m70NHQIt70wU/gUx9+H/7NO990Jtuc1xJkQV+lUkGlUnEtu2QX1eLiIkQiEXVHfp7C9kUu8KfFeUWUR+EoX7SlpSWkUikkk0nkcrlTOTCk02loNJpjt3uSIJDLGUFqV44bP7y7u4vh4WFIpVL09fVROVn2S34R5EIW9E9rkU/itGkx1qJGrVZz2px8vlpPYRgGxVIJQ9OL+8713vgsrrfW48HkPPwuGzeuuHoOwOJ6hHs8NLuC7hY/tQ+tmiZLv9OG0d1qpDK5sIrWoJfSr4hFImzyNDFs/YTFWmQby+EtXG9twIPJOaSydI0nl6cjnxyv0yyXLyCxm8YnfuuP8LVvv4DPfuxDaG+kU3WH4XH5igH7SY3fRXVQYVsmk1Fkcxpj08edFnutjs1PRQ4ODkKn04FhGM6BQavVUjWbg2orrFPD6wkCuZwBJx0/zDAMVldXMTU1hbq6OjQ0NBzoZAxU76bO6yHF1lxGR0dPbZFP4jRpMbYLiW9Rw/6XYRiMza3sW4TZFNij6UVcaQpAyYsI6lw2LBDkAobB1FKYq9cA2GdGyY8iFAoZiuUyGn0uzK5sIMBT5hu0GsR2a2kzsUiEpY0ISuUKHkzOocFlQZRQ7gP7bWI2tmK852uPH07M4gOf+Dze1ncNn/jJ/y9sZgOOw+OIXE5SWOcXtg+qNSiVSmo651G1hTdKWuwg3B+ZhNthhcex/7fHjl/g+6IlEokDfdF0Oh3XJMQ2X7xe8HhuHV6nYIv2sVgML774ItfRcdCPpFgsYnh4GLOzs7h27dqh0QP72otwMy4UCtje3kY6ncbt27fP7A12krQYS2IzMzO4evUqGhoaqOtAkssDXkpMq1JyxfwKw2BiYQ0S3rWxmWitj92sRyqbR//oDG51VFt/+fWWHI9sFDIZYjsprES20dUShNVI79PntFCPA2471yYNANu7GeTzOfjsJgCAQaui6kIGrQabhFWNUaehBJxWkxHRRBJ/8a3n8fS/+0X8z7/+NnIFvjtzDa8nR2S21tDQ0IDu7m48/fTT3Hd8YWEBL7/8Mu7du4dQKIRoNMq5U7B4nGmxV+vYk7OL+OAv/ip+6D/8HzBoD05h8TMUrC/apUuX0Nvbi97eXng8HuTzeUxOTqKvrw/PPPMMAODRo0ecncx58MUvfhGdnZ1cy3Vvby++/e1vc89/6EMf4m442H89PYdPaj0MArmcEOTUOtYz6LAfZSKRwJ07d1AqldDX18flXw/CYf5ip8Xa2hoWFxchl8tx8+bNU6UoDjqnoxa6dDqNu3fvIp1Oo6+vjxv/y98HUL1ugxO0WWXQY6f2XyyVMLu6idagh/tbhXd8O0EMA2Mh9F1pQZSY4QKG2VezSe3VU/KFIoZmFqHX0t02GhV9jaxGOu1g1WsQ381iNRLHlSY/rAb6ztFlM1KPfU76OniImTCpTA7/8MI9PPPvPoG/+e7LKJcP/rwfV+RyXrCjoJuamnDr1i089dRTCAQCKJfLCIVCeOmll/DgwQPMz88jHo+/qnWP43ARKWgS88vr+NRv/AHe+uP/Ed99+R6a6rzQag7u7DrufbO+aG1tbejr68NXvvIVvPOd7wQAfPjDH4bJZMJb3/pWigxOC6/Xi8997nMYHBzE4OAg3vKWt+Dd7343xsfHuW3e8Y53YGNjg/v3rW9969THEdJiJwBfuyKVSlEul/f9MBmGwcLCAubm5tDY2Ii6uroT/XDPQy5kN5jf70cymTz3j/aomks4HMbY2Bi8Xu+BA8vIfQDVa7e1k4RCLuOU8PxaidduwWpkG7vpLJoDLswsbezrHJNK6eNkcgVcb23A0PQCypUKHFYjNolJkwColuPq4wiutzViNLSIQrG0L1XH/6xkeyOPGQDDoWU8092OXLHMRUwi3jVS7Cv+02khqVSCtcg2Pva5L+FLf/Ut/Kf/8H686XoHRcSvNV4t6xe5XA6Hw8E1rpCeaKx5pFgsxtLS0oX4eZ0GFxW5zC6t4gt//Jf4xndfhM1s5D6/rtbDRbUn0bmwEIlEaG1txY/+6I/iD/7gD7CysoLZ2Vk899xzMBqNZz7vd73rXdTjz3zmM/jiF7+I/v5+tLdXW+nZiOo8EMjlCBymXSGHCLE/iHw+j9HRUaTTady4ceNUH/5ZyYXfDRaLxbCzs3P8C09wPvyFrlKpYHp6Gmtra1S322Fgr8tqJIZXhqZxpSmAsdlllCsVLqJg4bQasRrZRjZfwMZWHO31XowTKnsA2OF1fSnlUvSPhtDZFMD00hrcVjNFLj6HFStEsV4mlWBpPYK5cgWNfhcSyRTWI3S9JMYbnZzlFe93UllEE7u4dbkFA6PTUKnou9M479qnMvQ5p9K1x5PzK/iV3/0K9Fo1fvFDP4xnui8/NgPJ1+KY/E60paUlbGxsYGdnh/LzYtuez9OJdhzOGzVNhBbwF3//PfzR33wTlUoFJoMOm9Had+lqW/ORxz5t1MRO3hSLxWhpaUFLS8uZz/2g8/nrv/5rpNNp9Pb2cn9//vnnYbfbYTQa8cwzz+Azn/kMVyc6KQRyOQRHaVfIIrxYLMb29jZGRkZgMpnQ19d36sL8WcjloG6wi5xESe4nm81iaGgIlUoFfX19JxJzsdfq/nhVADkcWsKNtgYMTsxSOpLqtrX/T2XzkEjEaPA6MbdabQeWSSRY5RHBTqpqyTISWsKlOg+UcvqaOyxGilzqCKfj2eVqcV8hlXIRklQixtIG3UAQ4XWWrUe2kS8UMTA6g7YGPzI52mEgk6frCitkQwJAKf+lEjGWNyIolsr4wCc/j6evt+PdT1/H5Xo3Xks8DkITiUSQy+VQKpXo7Ozk/Lzi8Tii0Sjm5uYglUr3GXBeBFjPv9OSC8MwuPtoDL//p3+L5+4+QL3fzf1G/G4H4sSNyZW2gyMX9tinJZdXow15dHQUvb29yOVy0Gq1+MY3voG2tjYAwDvf+U78yI/8CAKBABYWFvArv/IreMtb3oIHDx7s86Y7CgK5HAB2dvZh2hX2y1EqlbCwsIClpSVcunQJXq/3TD/U05DCUaLIiyIXMnJhTScdDgdaW1tPFdIDwD2imH9/Yg5vurpfPLnF68hSKxVYWN9Co8+J2ZUw6jw2hJZqY41FImBhrbZwTy2uoe9KM6xGPaJ7Vi9iMf05mHnTKw1aNcbnlnGzown3xkKoc9sxu1I7hstqotwAzHotlapbCVeL1Dcvt+D+2Ay0auW+7clIyGLQYpvwLPM6rFgg0nbxnRR+8b99BfUeO37xJ38E//qZW5BIXv2axOMccUz6mrHFZXYUNNuJtrGxgenpaSgUCq4TzWQynVrlzoL9Xp/0e1wslfAPz72Cf3zlPr7+nRcAAAq5DEtrYW4bFVHflMukaGusO3Bf7G/zrJHLRX5OLS0tGBoaQiKRwN/+7d/igx/8IF544QW0tbXhfe97H7ddR0cHuru7EQgE8M1vfhPvfe97T3wMgVwIkOOHj9KusH979OgRKpUKenp6ztWDflJSOE4UeRGeYOx++KaTHo/n+BcesB9+MT9fLKL3cjPu7rUTa1UKLG3Qhfh0No/ddBZgGDT6nPuIoc5tp8hFJAIeTS5Ap1HB77RiORxFYpenzOcV0FVKBUrlCu6Nh9Dd3gipREyRi91soMjC67QiRoxGDrjsGJtdxL2xaTQHPLAa9bgzNEFvT5CL3+2gyEUho4mDjbzm1yL4uV/9ffzdP/ej90or3vfON0F3SHH4IvC4WoKP0rmQFitA9SaOFCKOj49Do9FwKbTDtCEHgf2dHRe5bMUS+PP/9V18+evfQngrhvbmOu65Oq8L0/M18W6G0EK1N9VDfkjmgsyCnAaZTObCIxe5XI7GxkYAQHd3N+7fv4/f/u3fxpe+9KV927pcLgQCAYRCoVMdQyCXPZxUuwIAkUh1YVOr1bh8+fK5O08kEsmx5HISUeRFRS7lchmpVArFYvFcxJnOFRFaCVN/K5crGJiYw62ORgyMzaLObcPYLF1fYYljN5MDwzCwm2h9iM2op8gl6LZjfnUT2XwBOo0KbfU+hJY3qNds8kYnp4kFYXBiFs9ca4fHbuGK9TLeYsV3cCabEmaW1mA2aNDT2YJHU/PIF4pQ89IHCt6CY9DrAdTOMbFDR2/zK+t49uVB/Nc//mu8751vxod+6F+g3uvCReNxRi4nPS7bicZ2JRYKBY5sDtKGHDUK+ihyYRgGdx6O4s/+3+8gGtvByw9G2GewuFr7Hht5NztkFNN1SEoMODu5sJHLqwmGYTjhMx/b29tYWVmBy3W679/3PbmQc1eOE5SVy2VMT09jfX0dEokEwWDwQloajyKF03iDXQS5xONxTE9PQyQScaaTZ8Xsxva+v7GzVgbGZnGlyQ8lL70RcFmp+fapbB7r0RgavQ7MrlbTSPw2ZYtBh/m953bTWRSKJVxu8uPhZDVq0qqUVP2FAUM7HwNYDm8hnkzhWmsDHk7O7SvG8wWbeZ5epVAo4eHkHJxWExxmI3I8jzf+/vjNA2mqXsNw7gSpTA5/9e0X8Id/823cvtaOf/uut+IdT3Xvs6U5K56EtNhpIZfLqVHQuVyO60SbmJhAqVTaN1mSrJMCdGfgRmQb33lxAP/zL/8O8yvVuhxZlPe5HVghUphkFOyyWbBBCGtP0il22uudTqcvVED5qU99Cu985zvh8/mwu7uLr33ta3j++efx7LPPIpVK4dOf/jR++Id/GC6XC4uLi/jUpz4Fq9WK97znPac6zvc1ufDHDx9FLKlUCsPDwxCLxejr68O9e/cuJEoADieF03qDnWcOC2k66Xa7EYvFzm3xPbNGp7vsJj3CRAQxHFpGu9/O28ZAkYvFqMPi+hbkMinqXVbMb0T3tSnz37HFoK0aXl5uxsDoDOpcNsqDzG0zU0p6pVyGpY0IKhUGDyfncKO9EbPL69Q++TYxG1u0OzObQgtH4whH4+jpbIHHYcHaHpmuEBqcqq1/LfLSa9SU0t/vsmOZeN5m0mI3ncErD8fxysNx9F65hNYGP973zjejvTFwLnJ4XORykcdltSHsKOhMJsORzfLyMqeKZy1qRCIRMtkcnn1pAH/1rX/GS/eHcbOzlSMWAFgJ166/w2KmyCVMdIa5HVaaXI7oFDurvoa1iLkobG5u4sd//MexsbEBg8GAzs5OPPvss3jb296GbDaL0dFRfOUrX0EikYDL5cIP/MAP4C//8i9PncH4viUXUrtCzk7gg2EYrK2tYXJy8lXpzAIOJpezeIOd1SqfbzpZKpWwvb0/6jgttnbouoffaaWIQSQClqNJtPidmF6uphZ2knR6yL83j6VQLGEpEqPMLllEeCkvVmU/MDqD7rYGapIkUC3Wk+QS9DgwSbQ+h7cT0KpVkEvE2IzvUo0CQFWJH96ukUvVMLO2P5Neg/6RaUglYvR0XsLmdpyynfG77ZhfraXEfC4bxkNL3OPqWOXa4ma3mDG/WnscT+zgj77+XfzR17+Leq8D73vH0/jXP9CHOs/pdQmvx8jlKIhEImg0Gmg0Gni9XmoU9NrGBl4YGMLdkRls/fevYZ5IdZGmqFaTEVHCaUFKNFZo1SqsEp8Nmz7VqJTovtyKBv/h3X5nbYG+6G6xP/zDPzz0OZVKhe985zsXcpzvO4U+G60UCgXuwz7sAy+VSpzFSVdXF1paWrhtJRLJobNTTguSXFhblampqX3HPM1+TopkMom7d++iXC6jr68PRqPxQhoDMrk8huY2cClQy9NmM/REx6Dbjt1MDvPrUXQ0+AAAu1le+ilXSyeVKwwy+QKutdZzf9OplfuU+eTCPzgxB4VMBqOu9uOUSmmy0WvoNleH2YiVzW1sJzO4dbkagZDgK/H9Ljvv+erjUrmC/tFpmI063LzcwpGchecEoFPTx+eTIX8Mc4H42s2vhvHfvvL/4vYHfgFv/vFfwK9/6c8wMhU68ef3OCOX10Khv51I4lsv3sP/9cWv4id+5bfxha9+EwNjIWh57fRkZOJ10qnnGFEPq/PSBJ7O5tDT1Q6pRIJy+Wg7/bNoXIBqBuP15isGfJ9FLqeZu7Kzs4Ph4WEolUr09fXtS0m9GpHLWS3yz3pOh5lOXsSY4weT88gXy1jejKHOZcPixhbiuzS5WI3VyZPFchkzK2FcuxTEg0m6uyxXpAlczJTxcHKFc1MOuG0YC9G2+2ukJoZhMDa7BKVChqC+2mXG7yQrluhjsC3ApUoFA2MzeMuNy7AYdNjeq5PwbWM0vGI/v/gvk0rRPzwFt90Mp8UEMe87V+DVZ3Z450dGRTKphIpqvE4bVsPVNGJoJQzRKw/xO1/9B7isRvR2tuDtfdfx9M0uGA20rxqLxxm5vBpTL0ulMoYmQ3jx/jDGZubx7IsDYBgGAY8DCaLbT0l8RhqVEpvEDUmxUCtsS8RiLBJRJktKcpkU19pbsLCyzgkor7YfLW48K7mk0+lTF9OfBHzfkMtx2hUWrHo4FArtW3RJHDX18bQQi8VIJBKYm5s7k0U+uZ+TDB5jmwS2trZw9erVfd5gFxG53BmpthpncgVEE0n4HWasbNJCyCJhZlgollAuV9AW9GJiYRVAVTy5whNP5otV8nwwOY9Wv2OfBUvAZcNIqLY4k7YwKoUcVy/VY4JoIwX2OxvHiJZhAIjEd1Aol7liP98gk29GmeV13ezuKfPXIzGsR2Lo7bqEzuYgRmYWAABhyraGochDr1UjTLRE17kdCBH1IIfFyJELAJiNBmBpHRvRBL7+3ABGQkv4j5/7H2gNutHT2YKnu6/g1tV2qPdEiY+TXM7rAg5UyWQstICB4Qksr4fxN88+j2QqAzAMNCol9z22m01YIlKT5FyfoNeFsZnaTQ35jbKb9VRLeqlcxq2udswtrWEzGqOU+deOIZfz1Fxeb1Moge8DcmG1KwsLC8jlcmhqajr0x1QoFDA6Oord3V10d3dzffYH4STtwydBuVxGIpFANpvF1atXz+xkDNBmkYe9x3Q6jUePHnGzZQ6Kjs475hgA7u6RCwCksgVcqvPuEU2tS4o/5liplGNqaQ1t9V5MzK+i3mfH9CJZWGewShTSJ5c3castCJEIYLlQBJrwPbaaLUw2X0B8ZxddLfUYGJsBwzAw6tTU4iGViGlPMobB0noEu+ksHk7O4VprA7YTdF1onT8Nk3xfDE0WErEYg+MhFIolNAc80KiVeETUkJwWI9X04HfZMEZEMibehEt+ii/Nmz+TSGVRKJUwHFrG4kYUX/qb70Iuk6Il4MLtrjZ4nVa4LfrXnGTOkhZjGAZrm1EMT81iaHIW2/Ed/N1zLyO9ZyfU3lhXJRbs7/Aij1W1AqrVW7S8tOgaMXnU43JgIxqHWqlAnduOxdV1bgxDwGXHAvG6ax2vXuQipMWeMJBpsGKxiEwmc+gPKBaLYXh4GAaDgRt4dRQuoubCpsFKpRJcLte5iAWgB48d9MM9qenkedNiiZ3kvvSWVCqGRq1EsVTGTioDj82MNV7EEN9JIV8oYX5tE231Xuh4BpcuswEb23Sn2MRSGFdagpiYW0GhWEI6Q0cNFd5nZLcYMTA6g46mABbXN+F32pFI1paIoMdJRQZeh5XqFFve2EKpXOKiGLNBRzUp2EwGbBF3xW6HhRqTHHDbMbeXZplZWkN7gx9NATc0KiWGpuZhMegoctHyUnAMrzcuSaYaGYaKYixGPXWHXudxYnhqDoViCaOzKxCJxBj5m2ojgeE3v4y+rkuwWUxob6pHU50X9V4nrCbDq0I6R+lcyuUy1iPbWFwLY2ktjPHQAqbnl5FMZzAeWuS26+lq5YgFABYJwnBYTBS5kPYsLpsZy0QrOlnTcjusWCc+b5VSgZ6udoxMzyES36Xm+6TStQjXZTNDJZceSdLnKegL5PIEgT9+WCqVHng3zk6EW1hYQHNzM/x+/6vuZAzQ3WBsdHVekORC4iymk2cll2g0iq/9/ff21TFiOyksbUTR6HOiVCrDbTdR5CKXSTnPsXyhhLnVTdxoq6f2YdSqKHLxu6xY3ohiaHoRl+o8WI9sI8yzkuHrSXJ7Kaux0BJcFhNMeroLx8Sz1XdYjRS5eJ0WDE3N4+HkHK40B6FSytFPRDIeu4UiF6fFRJGLxaTnyAUAdBo1+oenAAAuqxF6rQoyqYS7fvxifowcMwAGSxu1BdRuNSFCRGEeh5WKsvguzRDX7qITqTReeDCGdLZ6fdw2E9YjcagUcvhcdvR2taFULsFuMcFuNsJpNUOtUsKgU0OnUUOtVEIhl0Eul0EurWo5Knsp2mKxhHyxhGwuj0wuh91UBkOjMyhDBPXwDJbWNhGObiO8FYNWrcI/3X2IYqkEsVgEmUTCXYPrvMhgN1UjVp/LhhWCMEjrHIlYjMU14przGijWCEJ22yxY34yipd4PnVqF5fVNTiTZHPQjGk9w2xZKtd9ZU8CDhw8fUu4CrCcau56cNXK56Fbk1wpvOHLha1dIJ2P+Ap7L5TA8PIxCoYBbt25Brz+46HkQzlpzOUgUGQqFUOQVdc+Cg6zbz2o6eVriZBgG8/PzmJ+fx1aWZ7WikGNuT+Q4uxJGa9ALEWgCb/A6MDm/yj3OF4qYWdpAZ1MAI3ttuvxzcpiNWN6zjplaXENHow/R+A7nuiyViLGxTZMNWb/Y2I7DbNDgRnsjZ7BZ4dnESMX0YkCKPodnFtDb2YJbl1twf3wGlQqzb6KmfJ9WiCZtkjw2ogmoFHLoNGo013kwvbC6r5i/tH5wMR+o6ndIcuE3FvCFoKv8RZXQa1iMBqxH4sjmC5hZXIVMIsI4oRWyGPUccdX7nJgnHBF6u9pwl7DCafS7Mbu8BgBwWs0IE++pp6sV/cS2Qa+Lq8XVeZyYJ6JIfgpwcY2MVCwUuZDF+zqfC3NLa9xjUoRrNugQ2Svmy2UyGPVaNNV5MD2/BJVSQdXXVMRnq1IqqOP/wO2bePrpp7G7u4tYLIbNzU3MzMxALpdzRFMoFE5NLgzDvCrGla8F3lCtyGzR/iBRJJ9cIpEIXnnlFajVavT29p6KWNj9nXYBTqVSuHv3LjKZDDUp8iLdjIHaIry1tYU7d+5Ap9Ohp6fnxEVBsjHgJCgWi3j06BFWV1dx8+ZNLEfo1FWjz4Ey8f4mF1YhlUq4eSkAYODlvf1OKyLxJMbnVnC1JQgA2E7SXVT8hVoll6NQKKHJX+2sCbodVNOATqOinI4ZhsH86ibuj8+hxe+EUi6j2pgBIJ6ki/u7fBv9TL4q1HQ70BRwc3f+LHbSdIfcdoKOpEjyEAFY24ohtrOL/uEpSMQieBxWtAS9AICA24ES8R12WIzUvvhuB1mea/MaEYHZzAYqqnPZzdS2al4tjrwORq2aioisRtqehyQxfn3DbaebRwrF2uejkMuobfn7Jc/B77JT9SVy3o9YLKI6vCy8CaTk+/a5HKjzutDT1Q6FQobV8BZCi9WbnKDXRf0GkkSkxH/uWnsLNwo6GAzi2rVreNOb3oTW1lYoFAqsra1hfX0d4XAY09PTiEQiJ76hTKVS5/IufFx4Q5ALm1ZitSsHjR9myaVSqWBychLDw8NobW3F5cuXz6REP23ksra2hrt378Jms+HGjRtUIf0iyYU9r1AohKGhIVy6dAkdHR2numM6zfCq3d1d3L17F5VKBb29vVCo1Hg0swQPsVjx6wYWow53hmfQGvRyAjX+ouzYmzdfrjAYmlnEjdYgojxRZphXf2EAxJJpLG1EcfVSPcyG/YaXJPxOGzJ7C+H08iYsBg3KpdoPXiwCFoi7U4DBIjkugAGntJ9f3URoaR1atRImwnuK7FCSS6VU5GHUaahIymU1UZGMy2bBg/EQphdWUedxIOhxUtM0+XoYfjGfTOfx6y8eB73I8yOsxC7RtquQ80w86dpgKkV/LiSJ1XmcVIqUb1uzESG29TpRqRz8nROJaMJwWGkyJImnzuOkriP5NVYrFdjcTkCv1eDWlTaY9Dosrm6gf2gc6UwWC8QxDDr6+0MeX0+MMZZKJLjc0rDvnPmjoO12O8xmM0QiERYWFvDSSy/h/v37mJ2dxfb29qHryeu15vK6Jxf++OHD2ozFYjGKxSL6+/sRj8fR19cHt/vsszNOGrmcRBR5kZoZABgbG8PGxgZ6enrO5GbMnt9x5LK+vo7+/n64XC5cv34dcrkcgxPzCG8nUKkw0O8V5GO8u/+6vcVpJLSMjkY/ZBIJlzZjQR6ZYaqDu1r9tVqRXqOmLFUAYHNvASwUS3g0Nb+P1Ph6FIeFvjM2GQzYSqRwvbW6UDhNemph9Ngs1ALudpipu1m33YK7w1Molkro6WxB0OOgZr4EPHYq8uCLL/n1H42qdr6La5tI7KaQyeZwtbUBXZfqsZs+vJhvNRmo6IIvBOVHOUlikJlYLMIC8XkEvU7qu6DjzYfPEJGKXq3EFqFu53e3kQPT+LY3Rj29LSVe5BEGOVKBH6lYeYP62DqJQi5Da4O/2rmYyWJgaBzbCbIl2U15xpEpsTqvk/rs88RzNzpboeJ9tw4CwzDQ6/Vobm7GrVu3cPv2bfh8PhSLRUxPT+PFF1/kRkEnEglu2u2r4Yr8WuB1TS5kGuygaIVEPB5HLpeDyWRCT0/PuT+skxDCYWkwPi6qrTkej3O99H19fWcOpY+LXCqVCiYmJjA5OYmuri6qvfuVveL0xnYCGpUcZr2GG/rFgrTTGJpewo32hn1akXVeJ5lCLsPk8iZ6OqveTXVu+s5br1FjZZNsCRZhfGEF11obuLvlNC9NJBLRX3+tWolSuYIHk3NoDXph0tNpRK2KrqfYeOkWl7Xaup7K5NA/Mg2nxYSrl2p3tCaemy6/JsIbQYMcbxLmdiKJUrmCR5NzGJqax/bOLm5ebkFHUx1cNgt19+6x02TCd2kmSY8Bg2WiMaDO7aSEnQYtfR2odJRETEUqAZ4FTTJJRJcMsEQp4enPsEwQuUwqoZyIrWYjtW0iWUtt1XlcdOMDcR01aiXMBj2utTdDJBKhVCpjamGFI/klotBvMdGf5yrhL2a3EJESw2AlHIHbYcX1y5fQ0hDAScDXubCjhFtbW9HX14eenh64XC5kMhmMjo7iX/7Lf4l/8S/+BcrlMubn5y+k6eeLX/wiOjs7ufk5vb29+Pa3v028NQaf/vSn4Xa7oVKp8OY3vxnj4+NnOtbrklwOsnA5jFRYC5elpSVIJBK0trZeiO3Eca3IR6XB+Dhv5MIwDBYWFjA4OAipVIrGxsZzmU7yazckcrkc7t27h0Qigd7e3n2E+fLQNPf/G7Fd1Lmt+1JyG7xZ9+VKBV0tQe5u1GzQYp1nDBlLpgCRCP2jIdzsaNq3MAc99HlYjDqEowk8nJqH32WH1ajjnIZZRBN0Wo1ccCcXVsEwDK5eqnWs8VXu+RydhuIr7yuVCh5NzaGlzoOWoJeqOwFANkcT6k6aruesbtYiEYWMTqn5XTZsRuO4NzqNsdAi3A4LujuacbW1EWqlYt+dNL+Yv0JobxwmAyf0BPbXKEq8Jgfytfy0l4Y3eyZTqNVULEYtFW2plHT0FCHqXXVeFxXlkZe2GlkRxMMjhWKphFtX2tDZ0oCg140HY9N4OD6DXL5ARSZeh42KPMmbKZvZSEVgJAJeJ+p9boS3tvFgdArXOy4duB0fx3WLsWOgOzo68NRTT+Hzn/88bt++DQD40R/9UdhsNrz3ve/Fc889d6LjHQSv14vPfe5zGBwcxODgIN7ylrfg3e9+N0cgn//85/Fbv/Vb+L3f+z3cv38fTqcTb3vb27C7u3vMnvfjdUcubBrsuIFeQK0ekMlkcO3atQsZpMXiMEI4izfYecilWCxiaGgIS0tLuHHjxrmdjNnzAfZHLtvb27hz5w40Gg1u3bq1r0Eglcnh0fQC9TcwIrQEPFy0YtJp9nmB5QpFPJxaQFdzlWACvDtalUJODRS7Nz4LpUJBNQSoeGkeP7GP2ZUNmA16LrIAqk7INNkw+8hnK5HCo6l5XG9rhE6j2qfcZ0T0QrEeoW38WbPL6cU1TC+sQqmQocHnZA9HkYdELKYI1WrUU5qKOq+TIic7705eJpFgcGwGjyZnUSyVoJDL0HOlFcE9LywyZWY3G6koh3/Hzp/iSarQ7Rbea3lERDYRKGQy6rgBD21hEifIXaWUU2JTMz9FliAjFTqykkqluNLaiJ4rbaj3ujEyOYuB4QmMTM9BS7YdMwzVqebkRXckuXmcdMoyGkvAZbfgZmcrbCYj7g1PcPUhfov0YTiNzkUkEuHatWv4qZ/6KYjFYkQiEXz7299Gd3f3uW5E3/Wud+EHf/AH0dzcjObmZnzmM5+BVqtFf38/GIbBF77wBfzyL/8y3vve96KjowNf/vKXkclk8NWvfvXUx3pdtSLztStHWbisrKxgenoadXV1aGho4KxfLkqJfFBBnxVFymSyU3mDnZVckskkhoaGoFarOeHnRdRv+Gkx0o7/qHHOA+Oz++5yE7tpzK9Hce1SHR5NLyDosSOeJAmI4QZ/PZxewLWWIKQSet/1XjvG52quxVKJGHdHptEccGNhLYJMLr+vK0vON6fUqjA0Nc+NNQ56HZgg9um1W7FKFJe1GhW2EtVF9MHELFxWEzSEqFMiFlNOxxKxmNu++lhEtaqqlXLceTSJCsPg6qUGlCtljEwvcs8HPQ7MrtDiTbIAb+QVl/kjkMl5McVSGSPTC4jvpY7q3A6YDVo0+t3Y3tmtds1Rrr/0tSIXcrVSgRWCIDwOK+VCzb8BoaIan5Oa2Mif0JhI1c7ZbtJTNxBForFCKpFQOhWH1QSjXgu5TIrteBLhyDZnl98S9FEkXCS60RxWE1eX479vjUqJZSJlR7aU+112WIx6PBibwsZmFD1X27nnzEY96k44xO0sOhe2DVkmk+HWrVu4devWqV5/3Pn89V//NdLpNHp7e7GwsIBwOIy3v/3t3DYKhQLPPPMM7ty5g5/5mZ851f5fF+RCaleOi1ZY+/hEIoFr167BYqnenbAfarlcvpC7e36d5CwW+SzOQghHmU5eFLmw0zlHR0exs7ODmzdvwmAwHPq6l4emqMdKuRSLewPDHk4t4mZ7w77Prc5tpyKGh9MLeKqrBVKJmCMqvuit3uPAzNI6xudWEPTYkc7muWFhLOI880cRqumde2MhdLc17tNMOK1Gilz8DgsmiJSJTqPG0F4UM7eyAatRh9nlGnkEPXZqTHKDz42ZxZpux2bUYim8DRGAoak5XG4KoOtSPVKZHGaX12Ey6gBiIKeSJ3gs8W5kSMV51aKGEFNajBQBGPUaPJyY5R73Xm3DpXofDFoNUukMIAIn3JSIxdS+6jxOTMwt1s6LFyGSBGg3Gyi3Aj4hkoacBo2Kagl22u0UuazvEZrVqEfA7YBYKkGhWML6ZhTlcgUPx6v2QnKZlLrJ4zcQrBOfqdtho8glRjQ8BH20v9huKoPWhjrIZVIUiyXcH5nknosTEez1jpYT36yehVzYKZQX6ZIwOjqK3t5e5HI5aLVafOMb30BbWxvu3LkDAPtE1g6HA0tLSwft6kg88eRymvHD8Xgcw8PD0Ol0uH37NmXh8mqQS7lcPtWkyMNwGkI4znTyIhyNgSrBpFIpTE1NQaVSncgShxzyBQA+mxGhVTKdNY83X2ultrGb9BS56NRKvDI0jY4GHyYX1lAslahOJoAujC+sRXC5wQ+lXMoJKuVSCTWrA6DHHA9OzOLpq63UWGMxLxLg13SqxxThwcQcjDoN6twOilzMRh1AkAu/88tlt2EpXGs4KOTzmFqqvr6lzg0179qms/R7JslCIqb9zzwOG9aIFJvHTkcXfELYTWUwRcyvUSplKFcq8LlsCLiqWppKhUEmm4PZoIVCLuMK5mSEJJdJqVZrt8NGkUulQhMiOQ7YatJhJ52BTCqBxWiASiHHjcstkEgkYCoVbCeSUKYyiCaSsFsMGJ+oRUAqZS2qqPe6MEVER2T9x2TQUYO8yOsgk0qotmPtXq1IKpHgSmsj0ukst18yUpFKJFhYqQkyr1+mv89H4SzGla+GgLKlpQVDQ0NIJBL427/9W3zwgx/ECy+8wD3PX1/Pmu15YsnlNOOH2YL23NwcmpqaEAjsn87Hvv4inYxLpRLu3r176jTYQfs6Cbm8VqaTLIaHh1FXV4fGxsZjv1zRRBL/PDhBuRrz58ab9Ro8/3ACPZ3N6N8ztiwQIkegOuNlJLSE0dlltNd7sbAe2UcUfFdilUqOhfVNtDf4MD63gnqvE1NE1KDTqHh1Hgajs0solkq41lqPh5Pz+8woMzzdDSnGTOymkUhl0NEYQDyZwlpke58+o8Szv8nxbFzE0tpCN724jsTOLhxmPcx6LUIrYSwTRK1VK6nUVJ3HgTkihea0GilyUcjp657i6V+WCTJ3Wo2chmVlYwsuqwX3iLv0a+1NyBeKVf2OQQexCOhqbYBMIoVGrUQ+X6i2jTNVB+dbV6qLrQjVulbPlba9c5IimyugWCohXyhCIqrAoNNgZzeNcDQGsahmANraEMAsoagna3tymZRS4ivkfN0M6ePmpCK8HUK7E/S6MbO4Qr2292oHQouriCV2sUBcX/L7Vu93Y2ah9rruExbzgbN5i7HkcpGRi1wuR2NjIwCgu7sb9+/fx2//9m/jk5/8JICqByFp8R+JRI61jDoITyS5MAyDZDKJ3d1dWCyWI4kln89jZGQE2Wz2yLQN26p8UQtvLBZDNptFMBg8s0U+i5Oc12lMJ8/zHlkfMoZh0NzcjEDgZG2WLz2aRr5YwsrmNuo9dsyvRfbNb6n3OBBLptA/GkJ3axCDk/OUngKgLTbG51dxo60B46RFPsNQtQ6gqmtJZXOYXFjFjfZGSHgF6aDbjpGZRe4xGbE8nJxHb2cLhqYJo02GwXKYjsLWeM7H4a04VjejkEkluNXZQs0DAUCZTwIMVbwHQEUeKoUckcQuGIbBZiwJt9UIvVoJibgqCvU6rZgirHHMRh2IctG+SJyvf1mmohwr1TpsNugogSQ/6mUL4KlMDgadBsPEdbrV2YqB4RoRXW4OYnQvtaRWKpDNFbj93bjcgvujtbRpndvGpckMOg3lLM0XL5LXtsHvweRcLUVD1lS0aiWVBiNTiyKRiIpU2PTZ5ZZ6SKUShBaWa3Y2fjdBLgzVrmwiOgbFYjG62ppwErA3y09C5MIHwzDI5/MIBoNwOp343ve+h6tXrwKoOsW/8MIL+PVf//VT7/eJ6xZjtSvxeBwzMzNHpsGi0SheeeUVyGQy9PX1HVkPAC7GyZjtBlteXoZUKj3VpMjDcJTan3UUGBsbw+XLl3Hp0qUjj3cecsnlcrh//z5isRikUimMPDHaUXjhYXWRSWXz2Enn0Ox3Yi1Kt/pKiEL94OQCrjX597Xfbsbo14jEIjjMJhh11bvXgMvGS5PVurwqDIP747PQqJTUd0bNa3l1Eepukahq0eK0muB3VVOafpeN8ycDqnl/Mq2m06g59XuxVMb47BIKhSK69tqWdRoVbbViMlKdXwGXnYqM6jwOalF32q2YWt5AfDeNJr8TSgn9G2B4n+8OT6RKtiy7HRaq3dZJdMwB+9unSWNG/qLv5Kniy1TzBkNZt/DtUUQ8wifTZwE3rY0hO8H4hXaDjl5od4j3xncOiMZqnWEBt4PrZLNbTNBp1XBazRidnsPG5jYVuTJEFOqyW6noh4xIWxsC0PDqgYeB/X2fteZyUfjUpz6Fl156CYuLixgdHcUv//Iv4/nnn8cHPvABiEQifOxjH8Ov/dqv4Rvf+AbGxsbwoQ99CGq1Gj/2Yz926mM9MeTC167IZLIjF9zp6Wk8evQIzc3NuHLlyonqKOclF1IU2dXVdWGtzYcRQjabxcDAAGKxGPr6+k4Ump7V0TgWi+HOnTtQqVTo6emp5r5PMSr3xUe1O9jYTgpmnQ4GDZ22o0SOIhEkMhludTRyf1LKpVRRFwDSmRzm1zahUihg0qr2+Wl57dZ9kyUHJ+ZwuTHAKdyTKZrA+Nys16ixsBZBOJrAzcvNsPOPwWuNDnroNtU6jx3rWzEMTc2jvcGPzuY66nm+Op7fRswXKbIt1gz2pktKq2OarzQH4LIYqRnuIhEdBXmdNqou4rLSx+b/TpJElFP19qrtK+Cmv28y3mvJ1l2+ZkTH07uQC7TbYUWG0PioVXR9i0xt8ccKk15kBq2GInET7+Zyg2jtVskluNxUB5/Tish2HBOzCwhHq8fhkxLZeu1x0M+tbdaufc/VDpwU7O/7LJHLRVq/bG5u4sd//MfR0tKCt771rRgYGMCzzz6Lt73tbQCAT3ziE/jYxz6Gn/u5n0N3dzfW1tbw3e9+90yC7CciLXbQ+GGpVHogEWQyGQwPD6NcLqO3t/dUF/485MLvBsvlchc65hig57BsbW1hZGQEDocDra2tJ/5SnjZyIduMW1pa4PP5uDTkScllZjm8TxhZAQO1UoFyhUEqm4fdrN8njCyUyhieWcStjiYMjIXQ7HdzDshANW/PdmBtRBMwqBX77rRd/C6vPRv+kdAS/E4LzHrtvjQaPzpi72gLxRLujYbw1puXYdJrEN8zyuTXMPjFfq2qdvc6PreMns4W3OhoxvxquFqY5r2eZwiNPM/AkPT1AqrDq+LJFOLJFOQyKbxOK645rFgNb0EsFlGTLK1GHaUt4XfFkXUHiVhMjYQOep2YIpyP+e+TPC+tWkXpUpw2M5X6I6OPqtq+llpyWc3UzJQMURMy6bVUEV7LIymqpuJxYmSq1gVHNkH4XHYkUxnc7GxFJpeHXCLGw4kQgGo0RB5fQphe6rRqKlIiW74tJgPCWzHU+9zQ6zTovFS7MToOrOfhaWsnF2398od/+IdHPi8SifDpT38an/70p899rMceuVQqFeTz+X0WLhKJhHM3ZhEOh3Hnzh3OtuC0jH4WcjlMFMl2ZV0EwZDkwjDMuUwnT0MupVIJw8PDnACTnGVzmsYAMmoB9kZFb0SxEUvCatRCpZDByLNOAYD5tQgAEQbGQrjV0UTVWwAg6LUjRyi8dzI5LKxuwO+opWf4w7McRFSwHN6GWqlAg69WnNSqlFTaiGGwTzw5txpGuQI07Kn+k7zIKMVzRs7wbGXSmRzuj80glcmip/PSvoI63xmZrOfsU58b9ZQmpd7nwvzKBh5OziEST6I56MfNyy3w791953hdZmTEIBKBMt6s8zqpFmcDzzOMVPVXX1s7rzpeVMPXypDTOKs2+uWDt+XVhPy8/ZKKepOe7v7iRzxLa5vwOm3o6WpHU8CD3VQK94YnMDY9R/nb8aOhVSKd5+eJJ2OE0LPB78b1jhbMr6xjaCKEm3vNCifBcU4ihyGVSr0uTSuBx0gubBosn88fKIpkiYB1PB4fH8fY2Bg6OjrQ3t5+pqE7pyWXo7zB2ONfJLnkcjkMDg6ey3TypBEH+94KhQL6+vr21VdO09L80iNa3+JzWLjoYDEcg1WvhopnItnodRCWI1WC4Ws7rDy7FbNWjc1EChvbO2jxVReheaL9F6BndQBV5+GxuWXOkyzopRcvv9NK5e11aiUW1yNIpjOYW9tCd1sjp7QHADA8Z2Qw+8Yis4/zhSIGRqcQje2gp/MSVAo55DIp9XqLUUe1DfsdVir14+OlbIx8AsjlcW90GsvhLdgtRrgcdlxuroNaKYcItJOvz2mjOp/MPE0IX0tDCiKDHhf1Wn5EESe8vsxGPZUy42tPSIW/22GlZq+Q3xMGDHUOfOLJZvPQqFXoam3CMzeuVGth4a2qw3E2x3XwaVRKqg1aQxxDLpNik3DXrpRL1HMLKxuo97lxraN6U/lgrGpvZDMb9/moHYXvtxHHwGMiF9LCBThYu8LmhpPJJO7evYtkMom+vj44nSf/QPk4Dbmw3mB2u/1Ab7DDpj6eBey+7t27xzUnnNV08qSdZ+x76+7uPlC/ctLIJVcoYiuxS1mpe+x00XglugO1Sk3ZtViN9PvTqpR4aWgKtzpq3Td8M0urobqgFcsVTK9GcLurBTFeRxqfbPJ7C3X/aAhXWoLQ8epADquRelznIRYwkQg7qUzV+2yvWB9w26liP7/W4HPZKJ+uOrcD4e0E+kemoVTIcftqO2TEteKTh4Gnj+Gn5AolOoVGihi340m88mgCozOLyBWK6L7cgqttTWit90OllEPNiwxLvH1tECkyu8VIiRz5FjGkKzA/2vLx7v7LhN5FLBZRanuXja4JpYmo0GE2Ue9PrVLAqNeia8/qpVguIZPNYWgyhHQuTxlNRonUZ9Dnpm6UyMiz3uemSFUqq0VDDT4X/C4r5lfW8XBsGlvETUB3Z+upopCzkks2mxXI5TQgUy9HWeQD1QXXZrMd6GV1EPLFw8njJDNY+Gmww9p+2b+dt/uMYRhO/erz+U7cnHAYjiKXSqWCqakpjI2NobOz88hOt5NGLv2jIQzNLKEt6OE8qfgakTq3HXfHQuho8EGydzy+Q3G914FKhcHA+CxutjdCJGLTZjXwzyaTK+LW5Wbu+2M36XntzwzmCLIZnllEpVy1WmEhYujvHt+W32zQIraTwtDUPK5eqt/nNuzkkZPTQhOrjUjTxZNpZLL5Pf3HJWjVyn3RGsPTy/CbEdaIpgilQk4V4IPemudWpcIADIOBkSlMzi8jmyvAbrPienszui7Vw+e0IkzWNnhtvF7evBf+T5QspAe9LqrGwh+nTKriq9vWogN+kwAZYXhdNrQ11qGnqx3XO1pQKpWR2ElhaGIWKxsRTIQWue+ohPgeK+QynkCS7OhiqOcom3+m6pJ8tb0Zlxr8MBh0nPODVCKmzi3osiEaje5L3R+Gs7QhA9UMw0mH/D1peGxpseOcjMfGxgAAra2tp2r3nQoncW8+euBzx1nbn9QiH6AHc50VpOmkWCyGy+U6t1jqsLRYPp/H/fv3EY1G0dvbe2zn2UnTa88NVkfUDoWW0d1aD4lYhOklOnpw7s1NeTSzhCvNdZBLJZS6HaC9nO5NzKGvs4WKEABm37AwqUSMgdEQrjTXQSmXwcfr6vLYLdgl9iEWAQ+n5rC6uY3utmoxNsxzvuVPmiRrBY+m5sGAwc2OZmKffLEu9XDf9y1fLCKxm0b/3mgCjVIBm6nW5bRNzDABgEWiHmA26CjNB0vI3PM8E0k+Vja2MDg+g0dT89hKJBGJJ2Ez6dEScKM14EGTzwmfw1LtXuN99mQEYeHVgfjmlaQlv1atolJb/G1302l4HDZcbq7H7e7LaG2sQ0dzEDazATKZDBOzi+gfGseD0Wmq2cDFI3nSyqXB56GuO2mm6bCYqMesiFejUuLpG53Qa9R4ND6Nqbkl5IiOtsY6HxXhtDfVIRQK4aWXXqJmsBy2vpxFQAm8vtNiT0S3GImdnR0MDw9DpVJBIpEcq13ho9NrxA/97gv49R+5iksu+rVHpcXYbrBAIIDGxsYTfRHOM4eFbzr50ksvXViKjb+feDyOoaEhmM1mXL9+/USR0UnTYs/dH+P+/97EPDr8Nowu0t1ZZMH74fQC3nS1BS89pOs0EV4HV6lcwdWWOozOLqNYKsNhNuzr8mK7pIamF9Hoc+6bpuiymahieZ3bzt2JDk7M4VLAxXmfVd8zaDcAhqGU8UC1+L68sYXmOg+KxRJdjwGwxTtHkgwY3v5SmRzuDk8iXyiiu70J0Vgci4T6POCy77PZJwdo6XhdRPzPizwXpUJOEVXQ48LE3CK24klsxZPoudKK0Ert+UQyBbNeC51GCb1GDblcjludrYCouhAndlIoVyoolcvQqJW4VO/n3mN1MmM9JGIxDHoNstkc93vSqlVob6pDPJFAuQLMLa8jly9gbXML1ztaMDhW+16QM1z8bgfdxUVGKjIZb4IkfV3IuTBGrYr6TEp79vyj0/PIF0pUxxuZvjMSaWqFXIZ/9bYfgEIuQzabRTweRzwex+joKCqVCoxGI8xmM0wmE6eu/36suTwx5MKmh0KhEBoaGhAMBvH888+fOjIQiUR4a6sTP/VHd/G1n30aPnPti3YQuZzHG+ysgsWDTCcvyj2AnbgJ0Ne0ubmZ6gY7DieJXJY2opjjpa6UKjV6Lzfh7mi17VN6QCRTLFVwvTWIB5MLYBgGJp16ny9ZNl/ASGgJ7Q0+zK2E4baZKXIx6zVYIVIzsythqBRy1HsdNRNL3vnbTAbK4FIkFkOnVsCsU2EtugOP1YhVol3apFdjixA/6rRqLO8t/jNLa9CqlGhr8GErtoPdTBYqhZz2SdPS0zL5hpJBj4Mbozw4HkLQZUW9xwGz0YCRmXnYzUaKXPgptALPUoZMP6mUvJSZx4kJwulAr6XFf2Q7sEhUdRjI5PKIJVMIuu1YIFrEuy7VY2iqptRPZxxcJ5nXYcM04VvW09WKeyM1wgh4HFx6qTHgoc6ZbPsViUSc0zFQdTQmyYUUPdb73ZRqP5uv3cx4HTaKMBhUyYEdSzxInBvD1H5/XqedquHki7Uo5kprE1cLU6lU3BwWhmGQTqcRi8UQi8UwNzcHqVQKk8l0Zk3c63UKJfAY02LkIlcoFPDw4UMsLi6iu7ubW3DPqkt5z3UftlJ5/OQf3UU0VfvR8Pd3mjTYQTjt+bH1nJmZGVy9ehUNDTWX4IsiF5YUSqUSRkZGsLCwgO7u7gP91o7CSWouzw3un1AXT2VxdzSEm3viyIDLQk8JRFVkOTi5gKstdRCLRftm24tFIszu3UWPz63A77RS6n4AqOONCDbq1BidXcLaVgxXLwUBAGu8aZZ8fy+9VoNIYhfh+C662xtg5aVsLLw74HreeQbcdtwbrbpI3OxoRgNPlR7kbe/j1TFsZjqy1qgUmF/bxOD4DJQKOYx6LdVgsMsbK0DWPXQaFRUVBT30aGI9771QnwnDUH5jdW4nFW06eEX3ZKqWnlTyhJdOG63iJ9uZtWoVVbfgp8jI1Fa9l+5OI6eGViOVGvFQdjEMgxXifFzENW8KeCGTSiGTSjE4OrXv90a2OfPTbmTX3Y3Og80qRSIRtFot/H4/rly5gje96U1ob2+HSqXCzs4O4vE4+vv7MT09ja2tLe4m8DCwZHXW5p7Hjceuc9ne3sYrr7wCsViM27dvw2SqFUSlUumJC2YkfGYNbtRZsBhN4//+uzHsZqsfIkkGx3WDnQSnIYR0Oo27d+8inU6jr6/vQDfjizDVFIvFKBQK6O/vRz6fR19fH3VNT4qTpMW+9fID6rHFoMXc6iZEIhHuj8+hvc4FDa9DSatSILRXZH84vYiu5jpq7DEANProxW16aR35QglGotNLKqVfwxJUvlDEo6kF3L56iVJo728hBqd9KFcqGJyYg8mopxwAJPzUKENfD91eoXgnlca9sRmYTTp0NNW82PgiRH46kk/eWWLBT6YymF1ax+LaJhp8LtzsaEYiWVvU+foXvppez2sVpoWadIuv02qmBJI2noMAP0IKE627PqeNeh+FPNmowWCZ1MbwWndJ+xh+asvCI94oqfXxu6jXks0ETpuVimrUSgV6r7bD7bBgMxrD+Nwy1y1Gzpcx6rU854PazYzHYeP0Ql6nHb3XTqbMF4vFMJlMqK+vh8vlgsPh4G4o5+bm8NJLL2FwcBBzc3PciHI+Xs9pscdGLpVKBaFQCA8fPkRDQwO6urog47nonkdR/97r1Rzww+UYfvpP+pEtlDgn45N0g50EJyUEtvXXarXi5s2bBxLZRVnlp9NpbG1twWazobu7Gwre7PST4qi0GMMwGB2fQGQ7Qf0I63m2KFPL4X0F7ma/iypCP5xehFwmpRZyM68d120zYXR2BRWmangIgNImANUxwLWTr44QvtJcB+3egC+/y0bpWRRy2b76ytjsElKZLLrbq1FXkmoooK1SACDOK74nkmmMhZZwubkOQY9jn3gywfMACxMpIYChlPZqpYLTy8ytbGAzlsD6VhQdTXW40dGMIG9AlZbnccWP0tbI9JzZRNWK+HY3/E99lYiQ6jwOKoXGJwHSisdi1FOaFrprC9RUyKCfHmtMfvdUSgUl4OQbW9LGnBbUeV3oudqOOq8LKxubuPtoDOubUfh5keQ2kfLkX88IYQHjdljhsllwo7MVG5tbuNp2ssmTJFhLK5vNhubmZvT09OD27dvweDzI5/MYHx/Hiy++yDX4LC0toVwuXyi5fPazn8WNGzeg0+lgt9vxQz/0Q5ienqa2+dCHPsQ5CbD/enp6znS8x0YuGxsbCIfD6OnpObQWcB5yecdlN9RyCTYSWezmSvjIn95HNl9ALBY7cxrsoPM76u7+NKaTF+VmHA6Hodfrz22oeRjZFYtFPHz4EN/rH8bMegw32hq458q8KZR6jQoTi2F0Nvm5v8l4diQuqwmvDM+gvcHHPcef3+LZS7UkM3lE47u43hrE0gZdo+EX+yUSEYZnFmHQqhFw2eDkLaANXgc1NdNlNWMrnkQ6m8fg+CyuNAco/yuJWIx1nsXNMu8c5lc3AJEIo6ElLK5HoFEqudZlqUTM1VeAqj09mcbyOm1UezY/rWU3G8EwwFhoEffHZiCRiNHeGMCtzktwWk20SwDDUBYwVqOBinL4XmkyXuS4xesEIwWRdl6rNZm6UshkVAOFm9/RFa/tR6NSUOe4zwmZiDrrfS7qt0FGKg6LEYlkCh1NQdzqaoNKpcTi6gb6H40jsh2nSElJGJgq5DLME3NZyHqWTqvmXueyWarp02gM94cn0BDwHtuVdxAOKugrFAq4XC60tbXh9u3buHHjBiwWC3Z2dvCTP/mTqKurQyqVwt///d9jYWHhkD2fHC+88AI+8pGPoL+/H9/73vdQKpXw9re/Hek03YX5jne8AxsbG9y/b33rW2c63mMjF4/Hc6xY8CALmJNCo5Di/bfqAABapRQvzUTwf/7DNMQSyZnTYHwcFbmc1nTyPGmxfD6PwcFBbG1tIRgMHjvU6yQ4KHLZ3d3F3bt3AQAryeq53puYR8/lJohFIoSW6cK9z25CqcJgenEdHQ0+AMDqJl0H8dqqi9VIaBktAQ90aiVXb2FBqu5T2TwqZeB6az33N71Gvc/ChY0C1iIxbG4noOF93jqeWaTHQdcKCsUyiqUSuturos56r4OqU9S57cjma49dViPVOu2xmzEwOo2NrRhudDShszlI6Tv4dSa+WzHf+JF/77Wzm8L47BIGRqYQjsZRLJVw68olXG4Owuu0Ua3DXhdNJqTgFaCndqqVCqqGwjpFc2DoB1TTgI9OV6mpaIqOzOwmOuIhCaPaOFHbL90VV03p1Xmc6OlqQ0dzA+RyKcZC8xgYGscmEQ3V+9wUKe0SkWuD30OdKxlhBb1u+N0OdF++hM3tGGYXV7jRyTe7Tm75QuI4nYtIJIJGo4HP50NnZye+/e1v40tf+hIA4Jvf/CZaWlpQX1+PP/3TPz3T8QHg2WefxYc+9CG0t7fjypUr+OM//mMsLy/jwQM6va1QKOB0Orl/ZrP5kD0ejcda0D+uNe8w88qT4u0dbtyoM2NiLQaZGHgUqeDv5koXNnjnsMhla2sLd+7cgU6nQ09Pz4lEUGeNXBKJBO7cuQO5XI6enh6oVKoLawwg97OxsYH+/n643W50dXVx+hYA6B+bwzPXWylNCVAjhUKpjNnVMHraG/cV2ckhXGNzK2ir91LeUwzDYIHXkSaTSfBgcp6zdKn30gu12aClurRy+QLG5pZws6OJE+3x/cH43wmNSoFMvojB8RA6mgL7xJJ2XjqI76xr2EsBVRgG98dCqDAVXG9rhGevwKzm2eHw9TKZHH0tyfZZsYhWxHvsVkzOLWNgeAqjMwuwmY24VO9Hz5VWXG4OQsWr/ZDjhiViMWVAGfTSEZOCd6MSISz5XTbajp4/1pgs0HscNiqtyK9HkcO56vgW/IUimut86Olqw+1rl1GuVLC4Fkb/0ARS2SyXpuNHIzoiDVd1BiAiR+JcpRIJ97qWej9sFiOW1zcxODoFnVpNNSHc6qpNpTwNTtuKLJfL0d3dDQD4x3/8R8RiMfz+7/8+OjpO7sR8HHZ2qjcgfPJ4/vnnYbfb0dzcjA9/+MOIRCIHvfxYPBHdYofhvBb5zRY51qIJePUytHmqi8HMdgG/8vWhC6lv8AnhPKaTZ3EzXlpawv379xEMBjll/0W2NLPGnNPT0xgfH8eVK1fQ2NiIkdkVROJ0vSGXL6KbSJGJRSIsEPb5+UIJjAhorav5pYlEwOwKXWQHRHDZTDBqa/NbYrxaxfpWHBCJ0D8awvW2hn0TL+t4d9suWzXldW8sBL/TCo/dvG+6ZZjn2ExauIyFlpDLF9HT2cLVhviTJ/mFCqWKri+kMxk8mJzFeiSK9nrvPusVSh/D0DNZdGoV9TjoozupXLwOLblMiqn5ZfQPT2J0ZgGJ5C78Lhu6O5pwo7MFMqmUK/i7rAZqRgk/YiI7w1RKBTXW2GXnR3uk8p7nhMzrOCNrQlajgYscZFIJREwZ7Q1+dF2qR6PfjeX1MGYWl9E/NI5coUCRFln3avDR0Qjpktzg91CRZ5Zwkaj3u9HeFERLvR/T88uU83K9z02d960rZyeXs0yhlEgkUCgU0Gq1eOc738kN8TovGIbBxz/+cTz11FMUYb3zne/En//5n+O5557Db/7mb+L+/ft4y1vegjzVqHEyPDE6l4NwERb5P9hmxZ8MRtBnrd4pLe2UsDG8BrlUgv/87s4LO79CoYDh4WFks1n09PScun3wNKTAGnlub2+ju7ub6gY76zwXPkQiEUqlEh48eIB8Po/e3l6u3/67A2P7tl/bimM1EkNXSx2GphfRHHBhanGN2iZfKGIxHEVr0IPJhTU0ep37UmnRRBJzq5vwOSyQyaRwWoxUfcVm1GOV+PE/mJxHb2cTjDoNV0zmO/R67GZs7EVMc6thtNR5YLcY8HCyqtUw6tSUZkYqEe8zp5xd2UA8mULQ44BUKtk3mXI9Skdk5JAtBgy2k5m9/wfGF1agkEoRcJghl8uwGonzZrJYKVfhOq8DozO1nLvVoMMccSwxbxBXgjCRFItFmF8NI5cvYHkjggafG3PL1SjBZjLAZtTDYale61y+AKlUAr1Wg2QqXXVCJki43uvE+GxNT8Kvn5E1lHqfG9MLNV0NqWFRKeQoVxhcudQIpUIOrVaFyHYcW9sJbGxto8yIuONU7Xdq74ds/JDLpJhfrkU8dLs1Qz1nNhoArLJPYWF1HQadFq2NAchlUrx4bwhA9bszR4xYVhC1GJfdAi+vBf6kOIuIkp1Ced5hhAfh53/+5zEyMoKXX36Z+vv73vc+7v87Ojo4GcM3v/lNvPe97z3VMZ5ocpFKpadmTL4o8rpajy8/+C7uzW+hwabB3FYanS49/vTOPJQyMT7xg2cPM9k6CauAN5lMuHr16pm8wU5KLul0Go8ePYJMJkNvb++BhpoXEbkUi0WEw2FYLJZ974kVSLLw2IxYDlcX0/H5NXQ0+KBT02kPmVSC6aUNZPMFLG5UCUbLmxBp1KoxtydyXNncht2s32ep73dasEXYoBu1atwdnoHDYqiK/dYjvBHD2CemNOo06B+dRnd7I8Znl1HntmMoWVu8671OzBDE6LVbuZkxC2ubsBh1CLodyOULiCdTMOk1lOeXxajjyAwA3FYzRT5BjwsLqxtY2qs/tQc9KJVLWApvI1cowqLXUuSi4aXQ+O7FW0R9RSoRUymzoNeF2eXae7EY9Ry5bMV3YNQqEVpZ5J43GXRIptJQyKRobQggk81BpVRAJpPCrNdBp9VAhOqdr0qlwK3OVjCoLsrlchn1PicAEQxaNYx6DcoVBsVSCZUKA7fNgu1EEia9bm/GTvWz7ulqw8hUjS7J6Kje70GMGI+8ukG2Njsws1gb/0zatdR5XVTkRNZur7Q2Qi6TYngyhP5HY+hqq9n5NAQ8mCbEpmRkdKur/cwp9bN4i71advsf/ehH8Xd/93d48cUX4fV6j9zW5XIhEAggFAodud1BeGzk8mqkxVKpFIaGhiCTyXD79m1u4f0XbU58e3QdFo0MyZQI6Vx1n//PC7PQKKT4yFsvnfk9JBIJLC8vn1oBz8dJrGQikQhGRkbg8XgO7Qa7CHJZW1tDJBKB0WhEV1cX9Z4WN7awsb0Dg1bNtfZ67RasRapppWKpjLm1LbQH6XRCS8CF0dmqcjubL2B+bRN1NrpuUee2YmimlobZiichEYvR7Hdhho1weJe33uPAw6l5bG7vQKWQ42Z7E+6NzVDbUBMwUW1TFkGEB+Nz8NgtMPAU0CY9/YN22UzUQLKA04bB8Vlo1UrcutyCYqmEeLK2OPqcNqrN1e2wUORiM+kpTYdOp0P/yBTkUgna670A6M8vyRseRkZFfCV+vc+FmYXagmsx6ily4X83osRsGbfdwu07XyxBLpdhaLI2jOvKpXoM75GATCoBmJr32rW2JjycqF33a+3NeDhefayQy1AqlbiUldWopyI/sm5T53FS0RLfkJJsQZeSERsDStFvt5goctnZTaOrtRHhSAwKuQz3hms1w0VCkGkmxjwo5HIqirl5xpQYcL7I5aLAMAw++tGP4hvf+Aaef/55BIPBY1+zvb2NlZUVuFyuY7fl47GLKI/CRVnk/+jNqrBtMZZFrswgmSvAZVCBAXAntIXf+PZ+pflxKBaLiEajSCaTuHHjxqkV8HwcRQoMw2BmZgbDw8Nob29Ha2vrud2MD0KlUsHExASmpqZgt9uh0+n2vadv3xnB8uY2HGYDN2ExxSvk6zRKTC6uo45oeeV3a0nEYixHk2itq5FQOkUvok0+Fza24ljejO61MzNYJu7oAVpMmc0XUCyV0NPZwp2302LEJhHJVN2Wa4vXWmQb61sx9HS2cOkl8g4Y2K/7kHJNATkMjM5Aq1ZxlvwAT3OD/WLMMu9zZvUwhVIZ4/NrSKYLCLjtuHqpHnqNipqkadCqqago6KV1Q3xi5Ec5JDFZjQaqU8zNq4vQ30eGjih8HsrUU8Z7z6QgscHnpmohZDQqk0ootT2/1Zlsi27we6hrJ1fUvlN2q5GqD+XzeSgVclzvuITeqx1YWF7H0MQswtEY9fvwuR2U/ohs6W4MeLjrp5DLceMUw8H4OEvNJZPJQK1WX1gD0kc+8hH82Z/9Gb761a9Cp9MhHA4jHA4ju1ebSqVS+MVf/EXcvXsXi4uLeP755/Gud70LVqsV73nPe059vMdKLsddtJO0Ip/EIv92ow1X/SZEdvMwKEQoVRgEbdUfYXgniy89HzoVwbAzZgDAarXuG7R1FhymiC8UChgcHMTm5iZ6e3uPvYM4zQRJEqxrcjweR29vL9Rq9YEk9a07wwCAmZUwmvxOGLVqTC2uU9sEXTaks3lEd9JwW6p3gutRumB+qc6DbL6I2dUIRxyJLF3kFlWqj/OFEsZmV9AecFBeXwCoMb1Adaxv/+gMOpr80KlV8PLm19d7nBQZalXV1uf+kRk0+FzwOSxYWKebDNZ59RUyDQUAG9EYhqbmcSnoRVPAjfgOTZIRnvMyadsCgEpjaVRV8eTSegSPpuZhNujQFPDg6qUGqBRy2HlzVfgjlItFPpkQM+b1Wuq9+N1044OYp3chRY5eh41S8fNJjKzz2C1G6j3reQPOosRn2OB3U40A5HdOrVJQER69H4bq4gp4qr8LuUyK1no/yuUSKpUKHoxNYXd3lyKlNaI2xG80IIlOp1FDLpeh52oHXA4r2hrrcFacJXK56LTYF7/4Rezs7ODNb34zXC4X9+8v//IvAVTX29HRUbz73e9Gc3MzPvjBD6K5uRl37949kwXNEx25HNeKfFJvMJFIhHd2elBn1UAqAiK7eazHMzBp5FiOZdBg1+FLz4fwhe9OHPh6EqurqxgYGIDH44HX631V25rZNmOpVHrisc5nSYuxx1EqlVzr9EERUHh7B4NTtdrE6NwquloCKPO2Y+/+Utk8kpkCupoD+yIO9m6+WC5jfH4VT3Vd2kccFRAtyagaXnbU17rN7Cb9PnJZ3+v6Gg0tQ6tV7esks/IW53qfg3ufoaUNyGQytAZ93OdqMeqwTiyyWpUSi0RrdHV2SJWMphZWsbQegVatRGBPx6Ldm2zJwmY0UMr8oMdBWdT7eXYqdosRIzMLeDQ1h3K5Ar/HhevtTTXrmSR9zUh9iNlA1374FjH8aINM5Rl1GqpAz/faInUpMqmESkl5ecPCckTdVKdVU9eTmqcCUOfb4PNQ1yJHGVLauemXOo0aBq0W1zuaIZGIEd6OYSy0xJEW6Utm0KopwiX3H/A4uZHWcpkUGpUSOo0Gdx+NoanOe67C+llqLq9GWuygfx/60IcAVE04v/Od7yASiaBQKGBpaQl/8id/Ap/Pd6bjPdHkcpxF/mm8wd591Yt8sYLdAgODSobFWAaXXAYYVDKYNdUF6E9fmcfnvjl64OsPMp08b6s0CZIUGIbB8vIy7t+/j0AggK6urhM3CZw2LbayssK1M3d2dnI/gIMioGfvDu97fTKVxa22WkpIpZBhmohkUtkCmHIZNgPR4sowXOEeAMoVBoVSmWpl1qoUmON5gZXKFYzNr6PJY4NUIoZZR7f7Vsmmdme+EYlhKRzFjXZiumWeTnnxB1vZTHoMjM2g3uuA3aRDgKdfqffROpAGHz2HvtHnxsPJOSytR3C9rRGXm+roNAxP0Mj38eIX78mUV6FUwlp4Cw/GQ0hnc2it98NptyOw18Fk0muoqICvzVHyNCtkOkipkGOBsJjnj/Cl7qEYUEaX9X43lSKjRJoMQ+lL+DYrZHuwQaeh0ml8uxgywqvzOdF7tR2tDQGk0lnMLCzhwdg0srk86jz0MchIlW+sSdZbHFbznhdZB4xaLe48HEV0T9fTe+0yzgq2pf8s5PJ69RUDXgdpsYMs8s/iDWbWKHCz3goGIjTbqx9YrliGRavAWjwLqUSEZK6EB4vb+M/foHUwh5lOnmeeCx8subDvb3Z2FtevX0cwGDxVdHTStFilUsHY2BhCoRCuXbuGuro66jgHtTSzKTEWCpkUk4vrGNhT6QPVdFehRH9myXQaZUaEwF4NptHn3KddyWTzGJyYw609N+VGn5NaWMUiEda3qwtnaC2KoNu+T+BnNdB3eS67GaubUdyfmEV3eyNUCjlluQ/QBW2gptWYW91EdCcNi0lPtdyqeV5tOt4CSD5+MDGLChh0tzdxBMBv391Xf+GJO9cJp16ZVFK1mEGVdFLZLF55OIaljQisRgOutTWhu6OZU/uLeJ8fOQum2lVWI5MGH1274ZMuqcNx2syUAwA/RUbqULxOO0ViauomkMEKEWnxiYe8Fu3NQVyq9+NqWxMMWg0KhSLuPhzH5OwS9Fo15S9GjobWadTU+yTfl9mo596XVq1EuZCHCMDdh6PQ67VU/aX36tnJhV3DzqJzeb3a7QOvg8iFrLmc1yL/Az11iOWB7VQeWoUUY2sJbKcK0ChkaHcbAVTvov+ifwH/x18/RKXCHGk6eVFOxuy+WDfjTCaDvr6+M9kunCQtlsvlMDAwgN3dXfT29sJisezbhh8Bbe+k9qW/WoNuzlK9f2wWPZeb6A4eAAqpBKvRJOK7Gexmcwg4rbAZ6VSIUi7D9NI6ABEGxmZxq6Np3+CvRr8TOSI3H1oJI1cqUTYqfL2HVV+LlgYn5tBS54HZUFsINSoFT0xJOydXGAah5XU4LGa01VdTA6QxI7C/mSHNI4ed3QwGx0NY2oig61I9vyuaqr+IRKBSaGYDXSOp540IJi1jookdpDI5DI7NIByNw2Y2wGIx4+blFjT53VAr5bw59zZqX/zBY2RxXM0zjvTwRgeQrskKmQzzK6R4kv4Okyp9l81KkZRqj7itJgM6LzVAr1Wjo7keWrUKGqUSA8PjeDQxg51UiqoH1ftoUqJmvfBEkDGqM80Fv9uBm1fakC8UsBSOcilKqaj2QWnUqnPXWwB830UuT7zOpVwug2EYrK+vn3pSJB9XA2b4dGLMb2fxVJMVg4vbaHbqcH8hhmt+E9RyCSbWdmBSy/H1B8sopJN4h6eEriudB3qDXWTkwg4Z8vv95zKdPI5cYrEYhoaGYLfb0draeugXnh+5fPOVIdwdnUNvRyPujlXbU2W81w6Mz6L3ciP1N7/dgNB6dQGNJ9MAAxR4hNzsd2GEG0YlwsBYCE91Vbu32LtpI28eScBlx/TiBlQKOa4012F4ZgGbcToK4Re3gQo2onHc7GjCvbEQGrxODM8scs/WuR2UmFGjlBP1FQY32huxTLgOiEUiaiEVi0SYIx5LJWLMEbWI6YVV5PMFtNb7oFTIsba5TdVfXBYjVzMCqjUScjE08iIEfhsbWTOJ7+zi7tAEVxtp9LmrGhqjDhKRCFKxCNlcFrGdFAqlMpJEp55YTL+voM+F8VCt1kanaBnKPoY/uIsfDZM2LwG3HSa9FlqNam9gnggmgxbReAI6jQojU7U2aPLNGnQaKlJREtGkUiGnLGDISEmlkGM1vAWRSIQrlxqh12rwcHwKy+thuGxWbBC1GJm8ts8mvwt3796ByWSC2WyG2WyGSqU6cUahXC5zAwFPg1QqtW80x+sJT3xaDMCFWeQDwFvrql+2dL6ERrsOsXT1znt4JY5LLgPkMgnqbdWF7M7iDv5ySQmD+eAP+CIiF9YyZm1tDRqN5sg245OAvab8lBbDMFhcXMSDBw/Q2NiI9vb2Y430SJL6u5ceAQD6x+dxo60ekgMmTLbVeXBnJIQmTy0S4kcTDBjMr0bQ4K3l9JVy+h7Ha7fg5aFpdDT4uW4ocpYJADgtVY1MNl/A8Mwinr7aSjcEMMw+stlNZVAolnBvLIQWvxNyXoqK7xfmNJPFfxFS2TzS2RxudbZAKpGg3uekhmHV+1z7HpPRQYPPhQrDYHJ+BY8m51DvdaLnyiXOikXPS7HxDSbzvHrRBkFMSoWcSv/U+91U0d1iMmA1vIXhqXk8nJxDiak2aBRKZRh1GuRzeTR67Wir96K7rRGXgj50ttSjuc4Li1EPq8kAnUYNqUSCbSLacFotiMZ3IJGIoVIqYDbq4LJZUO9zo60xAKVCjptXWtFztR3P3LiCxjoPXFYj5DIJGAaYmF3EveFJPBidxv2RKU7zwm9JJovw9V5+NFL73BsDtAUM2eHmdVjQ1doIu8WEockQltdr14vvDTdP1GJ+8C1P49q1azAYDNja2sK9e/dw9+5dTE5OYnNz89ihX2eptwDVVmQhcnmVwPZfp9NpShR5HvT5lBiMijG6moBBJYPPokGjXYfZyC4kYhHcBgUn1IrlGER2C/iJ/+cV/I+f6IVOuX/ezHkil0KhgJGREWQyGTQ2Np7ZII4ES0zkF/oou5ij9sMSVHh7B3fHaiLBh9NLeNPVS/jnQV533V7rcGgjhhvt9Rgcn8dalG7bbfQ5cX98DsVyGc1+J2aWNjh1Pwu33YTVyDZGZpfR7Hcilc5yA8ZYUBbzIhHyxTK6WoKYWVpDJldAwGPHEtHVVbXMr53L9HIYDW4L6pxmLIarKZZ8gV68+ZGZQavGZDaHgdFp+JxW+F02zBIWIxaDFuS9Nr8Wwc6WYcGAwcDwNBQyKbo7mpHP0ARKigvB0A7E/G6ueq8LE7OLhx67yBsWtsiz/58jHl9uDGCUGGssAsOlr5QKORZWNqp34iIRfE4bwtFtlMsVZMt5pDM5bGxF996vCpOzS9z36FZXK6XEj8Rq5NgYcGOKUMaTN21mg456r6Q9vkIuo2xeyPQe62/W1doEkRgoFQp4OFFVmuu0dC2GvNFt8Hso4WnvtQ7odDrodDoEAgGUy2UkEgnEYjEsLS1hfHwcOp2Oi2oMBgN1g3gWjQvw+h5xDDzBNZe1tTXcu3cPANDZ2XkhxAIAaoUMVz1a1Nt0aLDrMLQch12vhEgELG0lMbeVgUKhRMBS/VC1SikGF7bx4196Gdu7dH79PGr4nZ0d3LlzB2KxmNOVXJThJFATwGUyGQwMDCCTyaC3t/fEUynJtNg/vEI3OFQqDHKFEtqItmCA4QruADA4tYi+K41I8QSJ7F1lKpPDSiSOWx2N++xaMoSp4MxyGF6nlZrHIpNI9nmSFYpFDE0vwmo0wGu3wMmLQpr8dFShUysxv7GNxXAMV5r8kMskVEoLABKERTtQnQ7JYiUcxXYiictNAdTttfjyxzlTBAhQw8oAILJXTM4XSxgcncZyeBtehxU9V6ozWsh6kMdpo2zh+VMd9dojhoUxoFJXbruVSrc5eHb/ZEoIoF/rsVtQrlTAMAzKlQpPG8Ngkeg4q/fRY5/JjjK1UkEp8U28lmRy1k2AV+gnz73B76GctdlR0I0BL57qvgKVUo6hyRk8Gp+hzEjrfW7q3Kj5N0QHn9/twJXWWrchUL2ptFgsaGpqws2bN3H79m34fD5q6Nfw8DCWl5eRSqVQKpXOFLm8WvYvrxWeOHLhd4NJpdILq2sA1S/GD7ZZENnNIVssQyIW4eHyNlptckRSJTTZtZjbzsJr0kCjkGI6nIRCKsb4WgL/5zeGsBJLU/s6S1psZWUF9+7dg9/vx9WrVyGTyS7UzRiopsGi0Sju3r0Lo9F46ATMw0CmxdiUGAuJWISJhTUshbdR766mDAMOM+Kp2o+XYRjkCyU0eWopRZlUQplZZvMFQCRCZ2NtmJhCLt0r7tdQqTDI5ArwWquE0RxwUYsnOUtmORxFYjcNhYznW8ar2dTvWcuLRMDI7DJaAm74iNSIWilHOEZ2V0kwyyOfuZWNvcFgm+hub9xHHvOrvPoLcYetVSup5gG3w4KddBarm1H0D0/BpNeitd6H7o5maFRKuKx0YZzfVpwmGgsYnsDQZTdTLcr8IV6Upw5DT3as99KpP370tRauEY/P5eB1htUIjwFD7TfgtlOLO3kMu9WETcIuh3Q8UMjoSMVAfK4+lx0GrQZehx2zi6vI5vJc55pcJqUmapJjCGxmI9Y3a+RSKBbhcdhwo7MVQb+bGod8ENj5J+zQLzY7EI/HMTg4iPHxcc6r7zReia/3tNgTVXM5qBvsIrUkQJUQrGoJehqsCO/k0OrUIlesgIEIN+rM0KmrP9rx9QS8JjVEIqDVXV3UpjeSeN/vv4CJ9QSA09dcyuUy1f5bX1/PXYOLIhd2f4uLi3j06BFaWlrQ1tZ26rCcTYutbMb2aWza6z1IprPI5ArYjCfhtRnh5nUFgWGwEolhdiPGDfZqCbip6Y5A9W5+fGEN11uD3DbkHS4YBksbW9hJZbAZ38WVpsC+Ba7Z70KaiHay+QLuj8/iVkczJ9bcSdEpJ6WCXjDUKiUmF1Zx83Iz1EoFGnh3yy6Lnq6feB1Up1g0kcRqeAu3OltgNuiqY46J5xt8tBK93kvf1fOtVwxaDUZDixgcm0GxWIJBq0J3RzP0e6MI4jy/MbIAXxUY1p732OmaIb8ORtYz+G3GNt4ET/IrqlYqsEa8Vs/7XMiOM5fVQlm58FuSyRSV30k3z5DdX/xIRSaToqerA16nHUqFHK88GMXqHuGRlvuNdV5Kj0TWjQLE/Bi33QqZTIqNrS3cH5lA3ylbkEUiEbRaLfx+P65cuYI3velN8Hg8kEgkWFlZwSuvvIKBgQGEQiFsb28fuX4IrcgXhMNEkeeZRnkQWLL6YF89tnbzSCZT0CslSFckuL8Ug0wsgVYhRSJThFIuhVWnhHQv9F/cTkOrkOEDf/AS7s5uQSKRcCrX48Cmp3Z3d9HX17ev/feiyIX9sq6treHmzZvHup4eBjYt9rfPP0D/+DxutdcEjmQhPJMvIVcsI5mmU4YNXgc2Y0kwDPBoZgnXW+uh4Q2I0mlUmFneQLlSwYOpRdxsb9xX3A+47VyhvlRhMBxaonLuwP6opClQbZEeGAuh0eeCx2HBLC+NtsGzo2FTWvdGZ6DTqGDU8SZV8gq+ZKsqADhMBhRLZQyMTCOTy6Ex4KLqHiY9fY5qFX0t+L0t5MJYKJUwtbCKwbEZpDJZXG4OwmzQos5TXYSDHiel8nfZ6DQX/8Zik3jvWrWSaof2Ouj3Sc56EfG64RoDHqq1WiypvQmxSITZpZqBJr9gTqao/G4ndgiyJO35+d1fJoMO1zta0H25BRajDg/GptE/NIbVcAQWYy0VKhaLMEc4JuuJCEClVGCOqKmIJWLU+924fvkSFAo5BobGuS7F29fPN5ZDLBZDpVJBrVbjxo0bePrppxEMBlEqlTA9PY2XXnoJjx49wtLSEnZ3d7m1hGEYpNPpM9muPCl47ORynCjyvNMo+ZBIJCgWi5AklhHQi7GcApqdBsRSBbQ49RhYiKIrUL0LL1cYLGylsbWbg11fJTurToFUroSf+sM7+MeJaurhOFLY2tri0lO3bt06MD11EW3N6XQa/f39AICuri4YDIZjXnE4RCIRyuUy/ub5QQDAvaklXGupg1Qixvj8KrWtXqtGNJmCg6hzkB5YlQqDR9NL+7yrmn0OSrh3b2J2XwqCXzsxG7R44cEErl2q58RysSTdFWYkBl5NL63DYtRzOhV2H8vEjBgAmCNGK29uJ7C4HkGj1waLofrjJhdDAFAo6RrHNlGczuWLiMaTyOby6Olsgc1koOpIAPb5j60Tzs0iEahF3GzQcQRQqTAolcq4OzSJxbVN2EwGNPhdtHiSR1Qkmeg0aqoxwMGzw+FHNatEuijodXFTH4H90zRjO2RNyEFFaplsLWUoEYuoc+Cr5qlCf50Xl5sbcKurHfU+N3bTaTwYm8Lg6BRMBj2lKyLdFxoCHqrmlSL0NY0BD/dba2+qB1NhMLe8jsHRKapLTa1S4kobXW85C0hfMZlMxskAent7cfPmTdhsNuzs7ODhw4d4+eWX8Tu/8zv43d/9Xezs7FxYWuyzn/0sbty4AZ1OB7vdjh/6oR/C9PQ0tQ3DMPj0pz8Nt9sNlUqFN7/5zRgfP72pL4vHSi4nEUVedFqsVCphdXUV5XIZH3tnJ+RSMQARPCYV9KrqXfNqLINb9VZMrCVg0ymxtJ1Bs1MPh0GJuc1qV1mxXMFXB5bw7ELx0PNjGAazs7PcZMqj0lPnjVwikQgn9pRIJGeaKcM/n9mNGObXqosLwzAYmV9Dq8+CbIGOJB0mPTZjSUgkEthM1cWYHxk0eO3oH53FzfaaDoY/zbHOZcPLw9O40d7IpfdI0R0ATuX/cGoBXocFfpcVswQxAMD2Dk02KrkMwzOLuNnRBLlMyhXguXPzObFLLFImvQYr4ShmV7eQLxRx63LTvsmVC6TSn2GwtUOm3RiEFleRLxQxMDKNnd0U1Eol/HsqfblUStVjLDwL+gafi1oY+Z5gZJ1hK76D+M4uJ550WE2Qy2ToudKKlqAPFqOOtuT30o0AfMcAMnVltxgpYrLx5t6TaS+SAKuvpQmDrEc5rSaq+YHZ+x7IpFI01XlhN5tws/MS/G4HdColhiZCGHg0joWVDcoC38I7n3lqbk3tOYlYTEVRWo26Wk/xurEeieLeyCT3XL5YI6hbXe3cWOzz4DDTSpFIBLVaDa/Xi87OTjz99NPo7OxEuVzG1772NcTjcbz//e/n5q8keT5yp8ELL7yAj3zkI+jv78f3vvc9lEolvP3tb0c6XfsMP//5z+O3fuu38Hu/93u4f/8+nE4n3va2t2F3d/eIPR+Oxx65OByOI73BLjIttrq6inA4DLVajevXr+MdnV481WjDxPoONhI5ZAtlmNRyLG6nEU8X0F1nQXBP87IYTaHCABqlFK2u6hc3spvHNxeK+JWvD6FUpomhWCzi4cOHWF9fR09PDzwez77zIXFWN2OWwFg7/kuXLl1IFCQSifDC2BL1t1K5ArFUgWZfbYFiGAaLe6aU69EEFHIF2uo8WCTEhkB1eiLDMLg/MY+ejiZIxKLajJY9OPa0K/cn5nC5yQ+zXosZnpaGtEuZW9mE3WhEE6HQ1mlU+8gmEksAIhHujc/CZTdDxau3WI303XuQWMxT2RyS6RxcNjNa6qopxgYvTUZ1Hge1eAZcDqSISMVq0KJ/ZArLGxF0NAZw60oLVVcK8MYyW3jnI5fRCxOZAgNDixgLhSJefjiG/uFJTC+swOOwos7jwPWOJvRcaYXNbITPaeOmdaaIfek0KkrFz09lkTULiVhMpZb4BEiSh06rporpeo0KTqsJTX4XLtW5kc1l4HVYUalUoFYqMDA8jnsjk1heD1M3F40BD/XeSWeAep+b6ubLEuTcVOdFLl+AUafBzSutSCRTuDc8ifmVdQR5mhnyPZ03JcbipI7IYrEYBoMBv/ALv4CXXnoJAPBLv/RLYBgGv/iLv4jPfvazZz6HZ599Fh/60IfQ3t6OK1eu4I//+I+xvLyMBw8eAKj+jr/whS/gl3/5l/He974XHR0d+PKXv4xMJoOvfvWrZzrmY9W56HQ6NDUdHXZeROTCTqfc2tqC2+3e6xISQSoRoa/JhmSuCLEIuLewjTc12/DKbBRapRT3FrZxu9EKkQhYjWfR7NBhczfL2fUvRdOwqUT4+sNVJLIl/Ma/uQGdSoZkMolHjx5Bq9Wit7cXsmO6Tdj3Wdlr8Typ8rdYLGJ0dBS7u7vUaOWLqN+UyhU8mKMXaY1SjsnlTShlUtS5rFjciKLJ50SIWMxXIzE8c7UFpqimNiuEYbBC3JkPjM/hLd3t+Kd7tElonBBKjoSW0Xe5CRNzq0js3SGLgH3eYCIRg9nVMG52NOLe2CyavE48nJrnnjcbtFgg9C5LaxGUSmXc6mjGwN5QMb6FC39Msl6rwsBIVYNxva3qUUamrewWI9X55bAasUR4Znkc9j2NjQhjs8toq3PBZTHCZTdjenF9X/RQ4InyIrx5NKTq32W3UDPf6zxOKk2oVigwMjXP6Vou1fuxEt6CSFS1gJGgghsdVVGoSqVAfGcX+UIR6WwOaqUCGrUS2VwelTKDFcKapsHvxsziCvdYoZBVbVrUSijlcohFIlxrb4ZMKoFGo0JyN41UJof4ThL5QhHhaAxhAFaTkTOHBIB8vvZZSMRizBJ1E4tRD3IeIjUczGyiusjYKEYsFsPtsEEhl2N4ahYjU7OUcwNZ36n3uan6zu3uK7gInNW0EgDe+9734qd/+qcB4EJrzzs71YYG1mJqYWEB4XAYb3/727ltFAoFnnnmGdy5cwc/8zM/c+pjPFHdYgfhvDUXvumkTqej9vejN/yYi6Qgk4ghEYswuZFEl8+EifUdGFQyvDIbxVNN1Ts4vUqGnUwRgwtRtO11kBmV1Uv43GQYP/vluxgYm8XAwAC8Xi+uXbt2ImIB6Bbik4BNKVYqFfT29lKFv4NMJ0+LF0fmoFHKqUFXbXXVjqdkJofdbAEemwkWw/5uluXwNvRaNUx76ZuAy4bVTdoaP5XNc2aXAGDWayiSAqomkiqVAl579QfgtRqoiABgsLAeQbnC4N74HLrbGyCR0l/poIe+o/Y5bVjb3MbAWAht9T547GZKCAmAussGaHeABxOzXC2FNUEsFukffZG3CPCNPMsQYWM7gYeT8ygWiyjk8wh6WI80hooedGoVRVz1PjdVv/HyfL7kvIYIsmtMLpNyd+YMszc+YCOK+6PTuDs0gWw2h0cTIUzMLmJpLYz1zSjS6RwqZQZuhxWZXA56rQoGrRp2ixE6rRoqpQJSiQTR2A5S6Sw2t+KoVBgMjk/jwfg0+ocnkM7kcH90CpNziwhvbSMcTXDnVMf7fMgEgIuXPiMt9+u8dBMAScj1PhcMei16rnbAYtRjKxbH8FQIAIPGAN01tk6l8mr1Fp1GjcvNtSaW8+AsIkqWXMhusfOmulkwDIOPf/zjeOqpp9DRUR3zHg5Xv3N8myuHw8E9d1o89rTYcThP5HKQ6SR/fyq5FD/WU4dXZqO4VW/F1m4eFYZBu9eIFmc1PZHMlnAzaMHE2g5UcgkyxQq0Simu+k0IpyuQ7JFkKp3Gz/zFKBhLEA0NDadyM+aLH0/yvpxOJ65fvw45T/NwEZHLX/3zIJaju2jyWrn3QaYkqkaWQIyqNQA+hxkL61tYCm9Dq1ZBq5LDzbN+ZximOqBrbA6X/A5ABPgdln2EOLsSxkY0jp1MDq1BDzS8Dqt6j4NyNR4cn0OpVKG6pUQ8Ay4XIRicmF+FUafF5eY67m8Oi5GaN8KPUkSi6tyW/pFpqFUKXG9rpOzn+eaXAB1pyKQSarKkQiHHo+lFLKxFYDNqcbnBR01yDvIs/vnzaPggayYKuYzS1jTwrPE1vNZhkoiqbsKEiNNuQSqTRTKVwU4qjVQmi91UBtlcHjKZlGdWSXdCknPogz43VU8i7+j5FjZeF1kfYjCzUIuUqNQhAyysbsBiNOBWVxsCHhdWNyLofzSGWCJJ1Vs06lojhs1s5NqWgRp5Nfg9+OF3/ACk0tMLHw/CWQaFZTIZyGQyKHgu3BeBn//5n8fIyAj+4i/+Yt9z/DXrNJkUPl4X5HLacLBSqWBychJjY2O4fPkyLl26xC3eB5HVj/cFoZRJsLmTxfWAGel8CQ8WYxBLRBCJgLHVOOa2Umj3GtG25568ncpjaDkOl1aKBlu1OymczCNdZPCxvx7F39xbPNU5n4Rc2HHHo6Oj6OzsRHNz84Ef/HnJZXBkAv0T1XrL9GoUN9vqYTfpMMGbOGnWqZEtFGEhnIY9xOK9EolBJZdjJ0V3WjV4bNje6yyaWtnCJZ8TO7t0sbLZ5+QU8rvpLGZXNyGV0O/VxltoAy4bHk0vIJXJ4UpLEABDpcSA/RYvWrUK98dm0d7gh9Nqgt9JRwKNfhd1p9vkr+X9txO72N7ZhUqlxLW2xr1zcFCLdIOXnnzZxJu82Ei49m4lUpDIZIjvphFwWtHsc4Ap0SkyvgsAmRLTqJRU40Gjz02du1FHdx6liA44hUxG1Rv46nr+94wkk0a/h/q+VZja/ysVcorg+J5hYUIsSY4VBmiHg6CXJqXk3jU2aDXo7miBy2bCdmIHA0Pj3BAxoNptRtZfyHEA5MwakUiEYqmEq23NmFtaQ4P/6BrpaXDWKZQajebChhGyYJsD/vmf/5mSKTid1WvBj1IikciBpr0nwRsuLZbNZjEwMIBYLIa+vr59F+YgcrFoFfjpZxoxH00jVyxDJZei0a5D/9w2nmlxoMwADTYt7i9sQ7ZHOHNbKQSsGszESpCUchAB2M5W0OTQoVhm8Hv/OIX/9DcPUSidbJE/jlwKhQIePHjAjTs+6gM/a1qsUqlgYmICX/7mS9T9/r3JBVxp2j+NTqNSYDUSh1alglGrARhm3zjjcqWCZCZHtSbLeBqR+XAMBoORGtnLjjhmYdJpMLa4ie7WmvCUr4hnLWJ2MzkMTy/gTdfbKPGkRCxGiJcCY5Xr43MrSOymYdDSP2g1T5tj5ulVHGYjVjejeDg5h6DXicYALb608lqp9TxNDt+ckj32UjiKmZVNZPNF1HvsuBRwwahVU91SZqOOSuHV+2lC0GlprQ7ZhCARi6nIhB/VqHh3zKTQss7rpDrFSFErA9oDjU8Y5I2iUa+lnAR0RAu5SCSiyM5O3LQE3A44HTY0BTzY2U0jm81iYnYJrHPy7FItwjEbat87BZEWBADx3oTKSw0BPH3jCsZnFvBovFqHe/rmVVwUzlJzYcnlosAwDH7+538eX//61/Hcc88hGAxSzweDQTidTnzve9/j/lYoFPDCCy+gr6/vTMd8XUQuJyWXra0t3LlzBzqdjhvXy8dhqvofueFHT301BTSxvgOPqRo+R1N53AhasLSdgkQsQv/cNp5qtEMqFkG3txbOJiq4WW+FTCKGcU/hv5bI4MFiFP/2D15EJJnddzw+RCLRoR1jyWQSd+/e5XzIjut9P0vkks/ncf/+fUS3tzEwR2tAGIbB+Pw6bnXUctAKmRQTC9WFenlzG2aDBm31nn0mlFa9CquRGCQSKSx6NRiGwU6OjkTbgh4MzSzB47Byi3emSBOQae+6Pvj/s/fnQZLk2X0f+Pn5HXdm5H3fV2XW2XX2TM8MiIMYArMUBhRIYkViuBIkLkjtYmFcaCWuyYbUaLigLbjUElpKK1sTQYEAKZMM0AFQBIhjpme6zq67sirv+z4j447wY//wCA/3qOquo6tnGiCeWVl3Zka4e0R4/N7vvfc9ni0xNdRDa2P8OX2xwGBeCIoli77ONroqM5vROoWAeCTMgm+BLRRL3H22wFBPhzcD8bPVwU1c/ij4KqGljR0OUxkGuju4MOHCqQvFYJI8qVMK8Lex6ltqIV1jaWOXxY1dnq1sEQkbJKIRJge76GtvoiURvA/q24ZpH9JKkkQgMQ33dVL0zSnqk55fNDPZEA9ob7XVVR9+yZeO5iZ2D4K8mtrLc1j2tb3qkVr+GcpQb5fHYYlHI0TDIS6fPUVrUyO24/D+rQfMVaSEDB/fpqejJVCRHRzVrqWztTmgmKyqMhNDfTxbWA4Ie7Y2NTI2WJMk+qTxJjOXqvTL26pc/sbf+Bv82q/9Gr/+679OLBZje3ub7e1tTxxYCMHP//zP881vfpPf/M3f5PHjx3zta18jHA7z0z/90290zu97cnkV2f2XtcWqsvVVPsnU1NRH7hQ+qhJqT4QYaIkS1hW6GsPcXNhnrD3O440UW6kCvU1Rb4ifK5v0NaisHmWRBZRtdxA51BJjs+JqCdAQ1rm7csC/9V/8AfdXDp87Z328KPFtbm56AIHz58+/0lDvdZNLKpXi+vXr6LpOQU/SXac9NTnQyeZBipvTy1ysWBpPDnQFJFeWNvdpbUwQjwT7+McZ9zFbB8fYjuCd8QG2fANdcEl14Lo/6rrO6aEe1naCSUr2aYU9XlijJRGm2be4hg2NGd/iCa7Q5MLaNoepLBdPDT0naT/UG5xnDHa1c5jKML+2xfLWHqf6OtjxLf6aojDnO4cQPMf8X1jbYml9m7tPF+htb8HQNQ8NpipBccx4JBxoY7U0xAItteHezgD0uru9lfXdA54surpukXCYoZ52Jvo76WlLsu1rkbncjtq1DvV2BvS76oUi/STD+lZW/dDdrLM09lcD3R2tgcee+MzVujtaA1IufsdIVZG9621uTNDX2caVc6cY7OngJJPh7pMZbj2YZvfgiI6AnI0TQI11ttXOL8tSQP1ZVxU0VeXSmQnOTozw3Q8f8nRhGXDtGKrx3qVzb7Ud9SZtsWw2+8LN8ZvGP/7H/5hUKsWXvvQlOjo6vH//4l/8C+8xv/iLv8jP//zP83M/93NcvHiRjY0Nfvd3f/eNVQK+78nlZfGyyqVUKnHnzh22trZeiU/ycQvvX//SCPdWj+hvilAwHRrCKkOtUToSBreXDz3J/SdrR6ylTDoa4ww0VvxGciWebZ8gJJjqcnd287tpFEmwe1Lgl377If/t+3MvPO+Lrq06N5qenubcuXOvBRB4nbbY5uamJ6J59uxZfu13b3Hz6TLnR2o7N7817N3ZVS6M9T//mTgOz5Y3aU02eIt4T1uSXd/A/yiTJxI2GPS5R9bzXbb2XaOoUV97KaRrzyHJZEUlnSsy2OEmwu6WhgDXKBLSma0IYOaLJe5ML2LoasCGWBHB27+lqdbCciqmZpqqcnHSRbWN9NXNS3o7AyCHoe72ANdCVRRuPHhGPBrm6plxpob7AjOToToHxXqJmEgdA75chzo7OE6zsLbN0+VNdo/SbO0f0dOaZKyvg6mhHpobYh7U1k8qhCAPRJakgMT8cG+wlVVPJAy0vXq7Au+J/xZVZDmQjOsFM/ePjmlMxJgaHeS9d84wNTpAa1Mj+4cpDo7c+cni2iZ9XW2BSsryc4S62gN/87P0R/p7vGtrbkygqjKaKnP74TSlYq260VQlAKv+/KW3A0H2rvcNZy5vU7SyKlNV/+9rX/ua9xghBF//+tfZ2tqiUCjwrW99y0OTvUl85pPLx81cjo6O+O53v4uqqh7M+GXxccmqoyHEVy/08J35Pc71NPJ4PUW2YHJSMInqCh/M7zGRlChacLqnkWfb7k0dN2Tmd9P0NUVYP8zj4DDWHuc4V+JUVwMA05vH/PK/fMJ/+N/dIFN4sblQNbkUi0Xu3LnDwcEB165de20751epXBzH4dmzZ17yGhwcZHXnkD+460pCPFraorc5Riyk83ChhraxbYf1/ePnNEZODXSxc3jCwvpupYIJ0VQnA4/jQof3U2nG+92WyER/53OtpoNUhuWtfc6P9QMwXidmKQQsb+2TK5ZY3Drk4sQgRh3ku6c1Gdj1N8YifOvDaXRNY2q41yV/bgWH/fUWxZIQHKYy3Hkyz2hfF811jPCmRBBQUD9faarMmQ6O09x4+Mw1zpoaZaAySK6ft9R/Zod1SgN+JFVDLPLcbKNQKrO2e8jMyhaqqrKxewiOQ3syQblY5Pz4IOcnhhjq6Qi0+4Z7OwOLcrSuwtvzybF0tQWtiRN17TS/LfNwfzelchlD11y2fTjM5TMTjPV1cv7UCMepE45SJzyeXSBXLHL38Sy7lZmdvxpqb/FVKk7wfWj3IdOEECz4kGGN8Shnxoc5OzFCsWTyaG6ZTOUzVn0Iy46WZICQ+baTy5vyXP44i1bCZ8As7GW77Bclg6qr4vz8PKOjo/T29r7yrr56vI+C2P31L43we9PbKIqgr9mV3Z/bOWGwUeXhtokejnIhrnCSc2/G+aMyI80hIjq0xg1WDrI8WT+mIazxTn+T1+PNFi3O9yb5lw83eLaV4r/8q1cZbQ8uRpIkcXJywoMHD2hoaODChQtvhG1/WXIplUo8ePCAQqHAtWvXvJv4n/5vN7zPwrRstlMFrk0O8Ef3ghpEgx3N3J1dZXKw29MZ8/f7FzZ26WqKs3cYnFcMdrd6JMiVrX1OD/cE5NTBHZhXJffvza5wZWrkubboaF8nz5Zqi8+dp4tcmRohFgl5GmB1wDJ62pIcpTPsH5+wf5TiC+9McvtxrZLUVIUZPxrOcdjzOVnOrmzi2A4XTg2zuXPA9sER6VwQUJCrS5LZup+P0xmeLro75PGBHjRNQdfUSjXjsOOT+A/Vtab6OtvqZFw6POMrcPkw/ihWiIKW7bB9mCJdcdEE1055a/8IVZFpiEXoam8hGgmhKLIrSWLoXDozjmXZ2LaNaZmcGu7HcRzamhqIRyNIkoQkCQxd5+LpcWRJQpFlTNuioyVJoVSmuTHO1s4+qXSG1Y1tisWSJ6V/dnyIfV+LLF3HxPfDh/3zkN6udlZ9rS4/v2Wo131eR2sTfV3t5PJFHjx17dtOjw3yaKbWclz3acu1NTd7xnLtzY2sLMyRPjrwzL/qof6vG2/aFvvT5PIpR31yKZfLPH78mFQqxaVLl2hoaHjt48FH7ya6k2F++kof/90HSyTCKqoQZApl1q0y3Q0h5vZyOI7DWEeCodYoC7sZDFXiMF8mVzJRZIFpOQy0xLi9tM+VgWaiukKmaGJWFvylvQz/2f/0gD97uot/593akNyyLGZmZhgZGaG/v/+N+74fl7DT6TT37t0jEolw7do1L3nliyX++e/fCTy2ZFrsHmfoa29ipTqodxzW944olU0WNveZ6O9iYX2bp0sbdWdyUAyDiFEgW6nUWhvjXnIplMrMrGxxbjQ4OB3qDvrG35qe5+rkCIoseW2vhjoU1FB3Ozcfz9GWTNDR3MDs8uZzFscBHw0hyOULNMQjDMTamF5cY6yvk0fzNbmbrrYmNnxzn1gkzPzaFo7joCkKV8+MBQAFbmuplgwUOYhM0zWVOZ9Pzfb+Ic8WV4mGDc6ODWJbFnd8yWK4t5NHszXf+vbmxkByUeskYfx2vpIUVCQe6ukMcG262prZ2j+ibFrsHZ2wsrHpCXdqqgKO8BbtcxPDPPZdRzRk8LTieClLEoqqeFXPO5OjfPikthE5PTLgDenrlQQMHwpPVWTmlmrX29yYCFy/P8l2tCR9ycXxWPnRcIi+7nY0VWF6bonDo5MAJFrxMfEHejpZ8r0fVehyV1sLP/VjP8jk5CQHBwesrq4yPT39sS6TrxJvSqL84+zlAn9M2mLVnWsVNWVZFu++++5rJxaoJZePm+P89NV+BlujNIUV5nZSjDUbHBbdxNMY0ZnsauDeyiGtMQNFgpWjAqlCmeX9DOd7XWTS7om7S7y5tM/FgWZihsrTzWMPTbZ3UuDrv3mfv/FPb3CcLXiGQgMDAwwMDHyigeJHVS47OzvcuHGDjo6O56qi//Fb9xjrDYoa9iSjPF3ZJlsse0TI8f4O1nfd1kWhVGZl55BrZ0bqmPPQ1d7MyvYBIUNzeTAVXxZ/jPS0c3t6kSs+Mct8nXvjRH8X1x/NMtTbQTRUQeLtBsERzQ1uO3TnMMXixi5fvDgZIFcKAVuHwWRzcHTM9v4R04trnBvtI2wEd6cddT4mI77hf8k0yeQKlEplj6k/2hccmI/0dQVaTaN1kNyqgGQmV+DWoxmEJGhORLhyZozutuaXzlu292qtKl1TAzOTkb6uwLW01LXrTJ9gqBAESKPtTQ2BaiDge1NntTxc0eyqhuwjHbrzllqC6GkPDvr3fUCJ4b6ewDn91z7Q3RlAkfnfh8GeLkb6uzl3aoRCscTe/hHTc24iHBnoCcyC/HyaNp+oZiwSplAocenMBFt7e5w9NUJjYyPDw8NcvnyZz3/+8wGXyffff5+HDx+yvr5OLpd76WyzKun0b2Ll8n1PLq+CFrMsi7W1NW7evElXV9cLWemvGtUdxMcll+aozmijwvFJGl1TSJUluhvD7GWK5EsmJctGCLi7cshIk0HRdJjqaiBbssiXLN7pT7JykGWotaIQfJwjEdLobIww3Ob24ed303Q1hvlXjzb4c3//X3JrYZdoNPpWdiv1yaWKpnv48CGnT59mZGQk8L7bts3/93/9LrdnV7ngqyTUipTKQSqLg6ClIUqsDu6aK5bI5IueIyW4C9bcmrsI7Z/k0XWNdyaeR4lVW2m3phe4OjVMLGwEnCrB3SkDzCxvoqkqp4e6n0OS+ROJadkUSmXOjPaRiLpfztHezoAAoqGpbOynvGt9MLfCzv4BI921BbAeQixLwcUhGg6RzuW58XAGQ1fpbm8OoJ/iddVVPUy4Xr+sbFrsp7LcfDjD+s4+Dg5Xz054SK2XzVv8i249Esy/WENwntHd1kzeB89urXO89LegOtuaAzDj+vP4pVSG+4KJx/YtwmFDCyC8/H48os4HptWv7uC4Jl+Xz57i7PgQbc2N3Hn0jPuVim92adV7aNTXJmxtagxUTflKFTvQ3cnls6dY397h9sNphBDPiVVqmhZwmbxw4QKJRIK9vT1u3rzJ9evXefbsGXt7ey9EtVa/h2/C0P/TyuV7FLOzs5w/f/61ZVXqQwjxsUP9crnM/fv3udZUYL+oMN7ZwPpRnu5kmFzRojVusH6Y43R3A0XTRpYFbVEVURHteLJ5zOZRnssDTSQj7oIyu5NGSC6rP6zVbrK2mJsgd3M2//OSzf/wNEux/HpqBC8Kf3IxTZN79+556sxVJq4//vWHMyxu7uM4Do+Xt5kc6KS5IcryXq0nvn14QjIRY7VOI6y1IcbdmWU2D1IMdrnAg6mhbg59elyb+8eEQwY9bbWFy29NDK6Y5TvjA977CHgAgGocpnNoqsKF8RoBrKkhFuCqgDsIfzi3gqpKnBrspqEOheW6Xdbe59ZkguXtQ+bWdxntaacpHgmSLR2Htbrh/65v5310kmV1a4+woXHlzBhhQw9wP8CVxveH38ERghIx0bDB7Ucz3HjgeracGR9itL+b06MDaKrKYJ1LZv28pX7WE5CA6ekMeNMk6kAXft2yWDQcsE6I1lV3/jlJc2MiIKVS/577LY47W5KBHX/KB1ce7usKACtKZZPxwT6unpvk6vlJVja2ufXgCQ+ezZMr+JQP+nsCyczPH/Iz8SUhAIez4yMsrW2Sztaqj4unJ4hFP7paEEIQi8Xo6+vj/PnzfOELX2BsbAxZlllYWOD999/nww8/ZGlpiVQqheM43jrzum2xt40W+37EZzq5ZLNZTxL60qVLNDc3v+QZrxYfRaRMp9Ne2+2Hv/g5/sMfGuPO8iGfG2lh+ziP47jilQfZEpYDfU0Rtk7KrKdKHGaL9CTDOEBPU5hbSwc4joNR6Y13NoTJlSy+M7fL50dbkQQs7xx751Ykif/l2Ql//TceMbf95r4NUJu5VEU7Lct6TtzSH//1//y+9/9ly2J594jJ/g7q7FZojIaJhEIBO9vWhIHjQKFssXOcYayv43nWOTC9tE6mUGao292Jnxrq9uRdqnF4kmWot8ODC4/0dHgulNU4Tue4N7PM1dOu9I0f1gwVAcxK0to/TvN0eYOQrgZ67v4KA4KS97Nr27Q3NzE51OOJdjY3RNn2KRMn49EAPyUaNphb2eDoxK08ouEQDfGo50QZjwb5LK1NDYF5zlBvR2DBH+rpDHjdhDSFmw+f8mh2EYFNQzzK1bMTjPZ3I0tSYN5S710y3NvpIaTgecmcgg8lpalKkBvT0xlIAhEfIVKSBDO+SqG3TnLfz5vpqqt4/CrQ7jn9yscJhvq6uHJukvOnRlnf3OHZwjI37j3GZeA73vnnfFpjDT7Xz3g0EqjOwEGWJE4N9XHtndM8mJ7nwVNXyHLNV5l96eo7vE7IskxTUxMjIyNcvXqVa9eu0dHRQTab5cGDB7z//vs8fep6xZTqZIdeFrlc7k/bYp80PqoK8YtOwttTBIUXuz5ubm5684hq2+2nr/bxxbFWCqZFazxEW8Jg7TBHX1OEJxspooZKWJMZSmqsHOToaYzQ1RBiYTeNIgvuLB9ydbCZREhlcdc1GXMcl/3cGZVwZJWRNnfBf7Z1jK4I5vdy/PX/9gP+mz+cwapf3V8xJEnyEktLS8vHthHvz69zby7oLGmaFss7RzTHfH1/x2Fz/5ilrX3amhuJGBo4DlsHtcU/my9ymM4911I6NdDJQSrDUTrL9tEJEwNdhOoW+FjYYHppnWfLmySiETqaG0nWMdATEZ2FCqrn5uM5Jod6sOxgpVdvhtXcEOOP7jyhp73FTSKOw+p2cPZTqqsWo2GDu8+WaIiGODPaz0BdpdAUD+72h+uSQUdLIzcePiObL3D59BhnRvsDi3RvnU9KvQmXUffe+LkxxbLJ3PI6Nx48ZXZ5nUQ8gqxIXD07wdnxIc6MDQTaYPXw6bxvkZOEYH27VkGN9AU5K4Ek7DjBx/b3BFpxmUytNanIEnM+qfx6i+hjX6VyaniAU8MDXD03ydTIAPligYWVDW7ef0I6mwtUIP6qanSgN6A1dugTxxzq7/be74Z4FEPXicciTC+sYFt+UmobW3u1JP/Fqxf4JGEYBp2dnUxNTfHee+9x7tw5QiH3Xrl+/To3btxgdnaW/f39l6qO/Gnl8inEi0QnPw2r4+rx/GTFs2fPBuYRuiLzlbPdSMBmqkAirLJ5XKAlptMU0dAVmaO8iaG4j3+4foTtCBoiOlMVfstWqkBYVwhpCmPtbiLZSBXZzNiu10SjuxvMl236G9w22spBhv/+1hJ/8b/8QxZ3X88FznEcUqkU+/v7nDp1KiDa+aL4f/0Pf8TEQCfCZ297driblZ1DSragreIsOTnYyVplkD+/vktjNMRodwsH6SA3ZKCjmcXNPSYHamRWzbdTzeaLrO4eUp82R3s7PDTY+u4huULpuc+8sym4UC6u77B7mGGkt7b4l+u8UAYqlc3Sxg6be0d84Z3JgOS7Ikse2bIaOxVex8FJloezy0TDBr2+6qb+S18s1FkgVxblkmly6/EMpbLJ1Egf58aqumjBVx8w/wJ2fLt8VwWgdn0tjQnWfMmxq7WZx7PL3HjwlAfPFtBUlaaGOKdHB7h6doJIyGC0v9urBhdW/PDm1kDlUt8S8vNbuttbAwt9Y6KO4e9b+Dubk4GEaJoWyYY4E0N9vHNqhMZ4jKmRQRpiUQxN4/7TWW7cf8yzxRVmFmvVkD8xut4u/kqldv5wyAj8TZVlTo0M8M7UGM2NCd6/fd8jWh742pNdPpHShniUs+M1YMknDSEE8Xic9vZ2dF3nvffeY2hoyBOf/fa3v829e/dYWVkhnU4/Bwz405nLW46PEp18m26U1eNZlkWhUODWrVve+VpbW5977J8704kDDLdGeX92j0v9Se6uHNGTDLN+lMVQZeYOSkx2JcgULbqTYbaO8iRC7gIzs32CKkscpPNIJbdVkCo6nOpq4CBT5N7yAVeGmpEEmL4brCVmcH/lkK/8g9/j1747/5zT5YvCsiwePnzIyckJzc3NdHZ2fuzjHyxs8Pt3Z3mwsMnFCmHRcRy2Dtwv4Em+hKQoJOMR1LqB5MZhhq625ud22cfpLPlimfmNPU4P9aApEk/r1JRHe9u5O7PMpckaDLtQp/abTER5ML/GxVP+xwTvgfH+TtZ3D1ja2OXy1AiqIjNTBwjw9+HLpkmxVGa0r5Oeig/KWJ3XektjnGWfkrKqyFx/8Iy1nT0unx6lMR5ldTs4LzlKB9t7fskRcP1hHs+tcH9mkdZkAkPTvGpFkaUAiz2ZiAb0xUb6ugJtrXrHx3AdUCCTzXNwfMKj2SVuPXrG9fvTzC6tkc7kOD3SR0drExdOjXDl7ARdrUlODfZwenSQod5OTNOiIR5FUxXi0UhA+bizLciuP8lkMXSNZEOckf5uouEwZ8eHXZLkcD/vTI4yPtBNe3MDy2sbHB6neLqwTLFUYnphlcezixyfZAJy/CMDwbmJf/YyUlep+BFkI33dWJZNS7KBq+enSKUzTM8t8uHjZzQnG7zHRcOhQEXlT4DvXT7/2kP3V4kqx0VRFFpaWhgbG+Pdd9/lypUrtLS0kEqluHv3Lt/97nd58uQJd+7cYX19/a2ixb797W/zla98hc7OToQQ/NZv/Vbg71/72tc8bcPqv6tXr37i837fk0u1Svg40cm34UbpD1mWSaVSfPDBB4TD4Y8UuazGf/znpvhgfpdTnQ3sZYqc7m5AliQ0RaYvaVCwwFBkproa2E7lyZXd2cqlQfcLmdAEubLN032Ta8PuDlir3MgnBZNi2Wa8I8FhziJuuL9f2ssgCSiaNv/sgwV+4r/4fR6tfbQ+WT6f58aNGxQKBXp7e1+pjfhf/I/f8v7/9swaVyeHODfc7VUoAFsHJ3S1Jms8l0o0JSK8/3COga42zza4v6OZ2QpKrFQ2mVndZqKn+bnEgeMy/W9PL3F5cph4OPQcT6a1MU7ZtLjzdIkrUyMkImFWtoOvv9pRNS2bW4/nuXZ2LNDPNzT1OfRZKpNjdmWTncMUV06PEa3TQuuvm+GM9bvMd8eBW49naW6MMdzb4UGFO1uSgXlMazLBjo882pSIBFjrIUPjO3efsH+c4szYAJ+/MBlo0Q50Bdt6ycSL52TV8FcTmqoE4L8jfV3kfFVRJOQurnen57j54Ck7hymmF9d4NLvI+vYeD57OcXySplQuM9TbjqGrRMMGiVgESbjy9pGQQTwSZn5lnUKxyOFxikQ0wuzSGg+eznPrwVPWt/b48Mksz5bW0TSdQx+4oezzqA8bOnM+BWO/JYCqyAH/Fv9MxdA1z6EyZOi0NDUwNTbE3uExyxtbPFus8ZWydYm5WiHIksTc0iqaqnDl3CR/9r1Pvpi+KD6K4xIOh+nu7ubMmTO89957TE5OYhgGv/qrv8rU1BRzc3P8xm/8Br//+78f5Gi9QWSzWc6ePcuv/MqvfORjfvRHf5StrS3v3+/8zu98onPCZyC5vIro5NtsizmOQ7FYZGlpieHhYU6fPv3SHcuZnga+9vlhLNtBqThWmpZD2bLZTBWJ64IH60ccZAo0R3VOdSawHAEOnGo1WNjLoikSFmBaDuf7kizsnnhaZZZtM72ZwnQchpvcRWsvXWCsw93dzu2kOc4V+Qv/6A/4xv90n1wxuIM/ODjggw8+oKGhgUuXLqFp2kvlX54sb/G7d54FfndjejkAC61GSFMI66oHTgAY7mrBtGyermzR3+kmmLa6YXHZtEhlS5wf7fN+F4sYPF6oLRq3phe5eGqQQFfAcQLVwc0nC5wb60f3uSyqsszTpWBFlC8UCYdDjPa5FdtYf3CGEI+Ema1UCaWyyc1Hs1iWw1BPbUGv55PU802SiRg3H84gSxJXzowFwADwfGXRW8fviFV02hwHHs4sUSiV0VWVi6dG6GtvCjh/QhCRhRPU9YpHwwEhzNG+7sDrfU6c0pdoVEUOHGu0vzvw2lVVpVAskcnlSZ1kmF3eIJXJks0X6OlsDez6/VNTXVMDA/p647BUpnYNna3JwKzKz30Z7e8NeO8EKpX+Xk6PDXJhchTbsphbWufRzAIOQWCBpioB0IH/ez461MvpsWHi0Sg37z9565Iv1XgVdr4kSTQ2NjI0NMQ/+kf/iOnpaQzDIJPJ8Ff/6l8lmUzyzW9+842v4ctf/jLf+MY3+OpXv/qRj9F1nfb2du9f1f74k8T3Pbns7u6+VHTybVUupmly//59b3f/OrIx/957Q7TGDRrDGo4DszsnjHck2Dop0ROTaYzo9CQj3F89orUyCH+0dsjCQZGxzgZOd7tilpvHOe6tHNIUM7y5zPTGMcmITrpos5s1uTTYjKHKRHwEtp5kFMt2+Cfvz/Hz/+wGv31/DcdxWFlZ4e7du4yOjjI5OVmR5ZBeSu76pX/+h1ya6Av87lR/O996sMCliX7vd2Fd5cH8OhuHGXo6Wgnrrj/6/HqtdfR0ZYvBrnZW6tpFHU0NrOymuD+3ztUpt589UacTBi5UeXKo2yMyDve0P8eJOTzJEA3pdFVcJicGgu0sIWBuZZOdg2MW1ne4emb0OW/6kd6OwGLW1Zrk9vQ8S5u7XDk9RiwSYrau0tncC1ZsVWHKk2yOmw9nsB2HKz7LY7Neqojg/VWq+/vW7j7pXJ4703OsbO1zfJLl8ukxTo8OEAnpAVZ/d0dLQFKnXviyvgrzy/urihxoCY32BxNRfRLdCvi3tAVMtoIy+sE24OhATwDm7U8Qrc2NATJjc7Im3W9oKgs+/3rdB9k3dI29w2MunZng3KkRYmGDu49nuPt4hkQswvJGLcH6LafHBvtqmmGOy8OJRyNcOz9FUyLBjfuP2T86Zmp0MKBR9jbjTaRfOjo6sCyLX/qlX2J9fZ2bN2/y4z/+45/K9VXjj/7oj2htbWV0dJSf/dmfZXd39+VPekl835NLW1sbn/vc5z5WdPJtzFyqnvOmadLS0vLaJMzGiMafO92Jrshspgqc7m7kxvweo60Rlo5NIrrCXqZIRFf41swO40mZggWne5LcWz3GtGxihsrGUY6JzgRLexn20u5xLAeGK6ix9VSJ3ZM8LXGdfKmMWoHQbqdq5f3GUY7/86/d4Ku//Dt858EMFy9epKenZub1Ub4w1fjgyRJ/+GCeu3ObnBvufu7vd2c3OF8hU/Ykw55O1dz6Ln2dLVwY72U/FeRxhHTV9d3wzQD6O2pf2JtPlrh2ejSgGgzQlozzbHmTxwvrtCUbaGmIB5wtAWKRENOL6+ylshycZDk3NvCcV/x4f5cHbbZsmxuP5rBth3YfCa/+PemqzBFs2+Hm41mGezqYGKy9H8lYhDVfwoyE9EDyUWSJR7PL3Hw4g6aqXDk9FkhG7jC+9nhNUVjerA3jo+FQALnW3BBjdmWdW49meDS7xHBPF5PDfVyaGqOpIU5n3QKo1EG+D3xkUr0OVjzS1x2oNgIJAgJJqzWZCPB62pqD5/XL5vd0Bgf9/iRVT4js6wi2/PxIrbGhvkDiPzhK0dXaxORQL1PD/RwcHXP74TT3p2cDz+vzecJIkmB2uVap+C2Nu9ub6e1opWyWuX7vEZu7tff9z7x7iU8r3kS00rIs8vm85+cyNTXFmTNnXv7EN4wvf/nL/LN/9s/4gz/4A375l3+Z27dv82f+zJ/5xO2473tyqZIaPy4+aVtsa2uL69ev09bWxsWLF1FV9Y1sgL/6Tjcl02KoJcraYZZEWCOiKSRDEq0xg2zRZKRZxwE0I8SlgSb2Km2AB2vHjLbH6WoMY1R21At7GXLFMpcHmz25GIC2RIi1wxwz2yk+N+Iak60eZBlocRfdma0UjYbEo+0c/9l3T/hvb6yTyvkgph8jXOk4Dt/8jd8HXNb00/U9JvraGe9tZXp52/v946Vt+lti7J0Eb7CnK9uEdf05wcl0rsDs2g5tzUkS0VCApV+NtZ0DlzXvqxb72msL1/LWPgjxHKN8vLfdUzgulMo8ml9BU9UKIc6Neh+Z8f4u7j5b5CRb4OLksCvtX4cK83NLwG2jfPh0kVNDvfS0N9PaGExyI71dAaXlsf5ur3pKZbIcpTOkszmunhmnNZlgtK87aHHc3xVY4Ef7OwPtwKZ4fUvS4t7TeW4/nuHg+MSdD5yZ4PzEMPFoODDLiYaNALdjuK5FVm8GduizAo5HIgHGfF9nMAkEFJPDoUDC7GwJcs/2j45rr7cOjOCvppMN8YALZUjXGe7r5uq5Sa6cmeDoJMvG7gFPFlYplcvecxPRcEAXzH+fjw70BozCdvYOGB/q452pMRpiEe5Oz5IvFGlqTLDoew0/+LmLfFrxJrpimYy7cXtTH5XXjb/4F/8iP/ZjP8bU1BRf+cpX+Jf/8l8yOzvLb//2b3+i437fk8urxJu2xaow4ydPnnD27FnPc/5NjyeE4O/+xFk2jnI0RnVG2uOsHuUxLYeSZXGcK7G4l6WnMcTMbo75nTTJihZZNdL5MmXb9pwVk1GDW4v7RDSFvkZ3gVzYcV0vTRsOs0X6mqP0NUVo8fFOOhJuhWBaDrcX9/nBv/c7/NP35zAt+2PbYv/bnWc8WKh9OUtli/WDExJ1LG/TstFVjeaGugW2u4VvP5hjuKfdSzCDnc3MrLoLxcLGLo2JOJcnBgOyLODK4N+cXuTCWL8LT3YcNveOA49paYgyu7rNuQp6DYJe6gATA9188GCG0f5OmhtjQJDJD5CoQG9zhSJ3phf43LmJQEKMhY0gssw355leXGNz74iQphL37fDr22x+e19wkV7ZfJEbD59xcJymt6OF0b5aqzdW9/gXScD448An4CmAu9Nz3Hj4lLtP59F1DVlIXDo9xuXT45wdGwqoG8TqZPP9nieRkBEUtqyzR3Z8UOnnRDD7ugILul8TLBGNBKqlpN9DxiHgQjnS3835U6NcPT/F1OgAewdHzC+vcePeY0qmFWjp+cm29Ylvxje8r8KjDV3j6rlJZFnm2fwyHz56FriHhnprn0kiFuWdqQk+rXiTtliuorb9/YIid3R00NfXx9zcx/tPvSz+xCaXqm1v1RPFDzP+JDOcodYo/4f3hogbKofZEi1xg5gmeLJ+zGiTSqos6EpG6W2KMNIW497qEYYqETMUHq0dIUkSTzdS3gxmevOYkCbzZPOYhpBMX4PKQbbIqc6Gyt+POMwU2TjKYZtlqnSUnFW7YQ+zRY5zJf7ub93jp/7R7/PtuYMXVi65Qom/+2t/wKWx4Kylr7WR+a1DOptri4EAjrJF1vfTjPoG3lVtsenlLS/BNMWDX4LlrX1UTaHVJ5goBMxVFJHvzqww1NPB5FA363UilJGQTqFU5v7sCldOj9AQDfG0bg5ShT/PLG9iWQ6fPzfOrl/e33FYrhPJLJTKWI7DO6fc2c9If7AK6e1oYcsn4KgqMo+XNnEcuHJmHFWWWaqDGG/5xCMh2FqybJvljR1mVzYY7u3k0tRooJ0EDqu+1pMsSWz4jpdMxFj3sfj7u9oCzp9tjXFWNnf4cH6bOzOrmJaFJAmGejq5ODVGSNc5Oz5EV1uzq+gcsDjuCrSg1EAV6gRmKCN93QE5mXp1A3+1NNQXhL6ns1lakg1Mjgzw+YtnGO7rYri3k2hYx7Zt7k3PcuPeY7b3DgPH8Sfx1qZGVjdr16NptbbrQE9Q2SCdTnN2fAhZkrBs2+O+GLrGqm/z4Z+LffHKBRTl9Rb/14k3ldvXdf2tEsdfJw4ODlhbW6Ojo+PlD/6Y+L5L7r/KQP11Zy5HR0fcv3+fpqYmLl68+NyHK8syBZ8u0evGX7rcx53lQ8qmjYTN8pFDa1RjMwuTnQmW9zNkCyaxkIqhSny4csiF3iQbxy67/9biAXM7aS4ONPFg9Ygz3Q3cWT5gbi+PbdtcHmz2eC2mDcPtcW4v7nNn9YRL/Y0c5UzPnGzlIMtCRQRz4yjHw7UjDjMFNEz+Tssu14ZrSfW//F+us3FwwtZhmrNDXTxY2ADHoVAyOUznaAhrNEYMjrIFzo90c3fW/XJuHaYZ7m4lk8tzf76G9Jpe3uLccPdz7a+2ZJzvPpynpSFGSyLMXirHmaEe7s/VdplPlzd57+wobT7oriIHOTE3H8/zA++Mc/3BrAdnloTw/F7A5dWYps2VqVFuP5nHdmyGe9qZ9ztXOg4L69ukMjk+fLrA2bGB51BZHS1JVn0JaaS3g0dzK5RzeW4+nOHsSB+qqrB/lAZcXxN/ckgmosz7kFsNsYhHfpxf3aSpIU6pXObKmTH2Dk8omWZAi2u4t5MZH/R2sKcjwDpva056dgUAeUclNHAeJd5CcXuB1c1tyqbFwtomiaMwJ5maZtbZ8UH2Do9pjMcIhwwa41GunD1FOp2mbFnYlkVnWzP5QpGGWJQV32JeT5Y8OE7RGI8RMnTaW5IUCqWKlbNCPOaageUKRfKFIivr22RyefYOjrl6fpIb9594x/ELcQ50dwSQYms+FFt/dzu7B5Wk78DCaq2Kamtu4jCVZnywj0w2x/T8kpc0j33tudGBXh4+c31dJEl4ApetTY18+UvX+DTDsix0XX/5A32RyWSIRCJvzWo5k8kwPz/v/by0tMT9+/c9G4Gvf/3r/ORP/iQdHR0sLy/zn/wn/wnNzc38xE/8xCc67x+LyuVVZy5VE7E7d+4wODj4kTDjT4o+kyTB3/zBEYrFIrPbGYQkSMbClC2HqK7QEjcYaY/zaO2YC71JQCBJAtOyKZs2siTYSuUplm0GWiKeBHqubNPbqHFrcZ9syaQ94bY21n2tIwuZxb00lwabPXY/QFey1lNvieksHpX5K//4j/jFX7/J3aV9lrYP+a9/+ybgzlSerR8w3tvGhZFuFjbddtBxrkQ0FiEZCwcG9pl8kb1UjtHutsCOF9wqor0qB1OJgfYmHMdh9+jEVR5ob6LOURhVlngwt4ppOwxX9MamBoMzCoCN3WPamhvpaHYrvdGetsBu1alUKTcfzzPU00FHUwNNDUFI9GhfV2DY/WRhlZXNXa5MjXitJL94ont9wfsmZOjceTJPX2cr58YHn4Mg14tJDvcEW00DXW2kMy7CbHF9i8Hudq6cHfeuNV7XxqqPw8rnIYVi6N2n2AkPoMTdazAa2wJVVFdrU+Dchq6xuXvAk/llbj96xrPFNW7en2Z6YY2j4zR3Hs+yubPPUSpNa1ODK5HigCLJpLP5mlVyY5z55Q2OUmk2d/Zd75T5Je4+meHmgyc8mV3i1sOnPJ5dJBzSA/MWP9+ms7UpkEz819rd1hIY2Fs+8vBQfzdHqTRhwzUokyRBOpPlxv3H6Lrm3ZuSJNj0CW76FRSG+1zC55Wzp0idpPn8pXMf+75/0rBt+41mLm9TV+zOnTucP3+e8+fPA/ALv/ALnD9/nv/0P/1PkWWZR48e8ef//J9ndHSUn/mZn2F0dJTr169/4pnP971ygTdzo6wP0zR5/PgxR0dHLzUR+6TJpVwuc7Q6y9U2h0iogfXdY3bSRc72NLKwmyZfMpnsasCyHRb2Mlzqb+LB2iERQ+HZdop3+pu4tbiP7TjMbqdpqsjFPN44Jltyr2tm64TL/Y2ERZnFY5P+5gjL+1mebhxhqAq3F/fpSUY425Pkwdohm0e1vvTmUe3L9K+nN/mf763QaEg4ig6m+7iSabFznKM1FmxzrO+lePdUP4/mVwO/lwTMru8x0NHM0pabjBRZYn59l/1UhpHuVrb3j8gVS8z41I4zhRKxsIFpBtt0p4d7uPtsGXAlYc6O9AV6/eBCmWcrx4qFDQY7mgIClODKxlQfM7e6RcTQPYRdNZJ1g/KJgR4ezS2ze5hipK8TVZGZXvC9XsdhaTNYjVXnRyubu6xswnsXTnFufJD7zxYBsJzg66u/m+vblMcnaR5WTLgmh/swdI1oSK/IqDiBnX00bLCwlyE0cAEl3oxazlD27WodLQKyApZb3Ut1O16/InFrU0NQobi1KeAI6R/eq6rCs4UVr43kVhi11l/aNxfpamtmY8ePrKvNl1xCZO39bWlM1MAIjsOCr2XX1d7K+k6tgqySLCMhg/6uduLRME9mF3m6sEy+WPRam5Jv9zI+2Mf0fM3g7Djjfh/amxuJ6Brzy2ts7+5zZmzouTnY2443nbm8zcrlS1/60seur//qX/2rt3Ke+vhjUbm8rC2WyWS4ceMGpVLplUzEPklyqSonA/zCX/giU91JErpgqCXCcb5M1FA41ZngxsIelweb2DkpYjsO53qTjLTGyZdtjnMFLg008WTjmO7GMAfZIoYmc647zsaJRX+zO8NY3Dlm8djkQl+SjgZ3gcyXbSY63VnG2mGWomkx1d2IAwxW/GN20kU6YxUFgHyZ1pjOXtZCxNuRY80Izd0ldzUYbB3l6Giq7fRlSbCyc0h7cyOGrxc/1tPKzlGao0yRgQ4XIXRuuMercObWd2lJJrg0MfCcHEpHU5yZtR3O+4b0RZ+US6FUZnXnIGhMBfR11JBI6VyB9f1UAF4K0BALQmpbknG+c3+GC+OD7lC7jpAJQQOsuZVNwprrbV/1jhnp7+LIZxnQ1BAL6HtpqsKtx7Pcn1lioKedc+ODgb9DUA9MEiIAYdZVhWc+58WNnX3e//AxmXyRU0O9fPHiWW+2IcdaCA++Q2joEkq8KuIafJ8QAiVaQd1VKsZqNDfGA7OktjohS//cyWWt11pzowM9gfmEf4EKGTqzvtfQXUcW3fadc2ywN5C0/GjAob5uzwkSoOhj8E+ODjIx1M/U2BCFYpnNnX3uPp5xJXwGe2tVjQMLPtBBwjcD7O1spyEeY6inne39Qw7TWa/COT8x5AlKzs3NcXBw8FaVQODfXItj+GOSXD6uLba9vc2NGzdoaWnh4sWLr9TffJnH/EdF9VxVJ0dVVfmbPzRGWHV3GGXLpjGss3tSJB7WWD/KcWmgiZ2TAneWDxBCYKgSszsZjnMl3ulv8lpbj9ePWdjPMdSoElfda9vPO4y2x7m7csjy/omHOsuVau9FxFB4vH7E7kme/uYYoQr5LKLWPtotnzd7JBpDbehAb+pm7tAkXTBxkGmtoMLeGe1mYz/F3MY+bckYuqoQixg8WnAXx1Q2z1GmSH9HMwd1XJfFjT1sx6G1sVZOC2B5+4CyafFgfp0rU8O0JeM8WQwqMY/2tnPz8QKXTg271YnjBAbaAJNDvdx8ssjpkT7i0bDbEtsMDu5bKyoBd58tYWganzs/HnBaBJj3VVbgCkzefDSLqqpcmhx5DqAw2BVk3U8M9HiQ4qX1HQqlMolImMtTo2iKwmhfZ6DNNtrfHWgRjQ0EnReHe2uD8OmFVfKlMrtmiPipLxIauIAkB5NJHgWn7v6VY27i6e1sC8jbD/YEh+xW4HlOQMdsbKAngKoKulAGRS9H+4NkSf/raWlMBJBhfk6NIssBwECLT/srHDJQFVeOpbu9hVg4xI17T3j0bAFD15hZqs3sFJ9523B/d2A+tb13gCxJvDM1zlBfFzOLyyysbdHe3MSK77q+9pd+gvfee4/BwUEsy+LZs2e8//773L9/n7W1NbLZ7EvJyC+LN0kufxIUkeEzklxe1Y3SH7ZtMzMz46knj42NvXJv83UrF/+56pWTo7rCn+2XUSRBa8xgN11gL1NkvD1eWbgdOhvDnOlp5ObiPlcGWzz2/YfLh6TyZRojGkXTZqglwuKxyeZxgb4m9wsZr0jEbKUKqLLg0kAzq/sZbx7zdOMYQ5UpWw4P1g6JGSrnehrZydSQZbak4lTaNnkTZCwcWYNYK3Kijb2SjKqHaG+MM79e2+Wv7qfpbWvkVG8rOZ+MfiqbJxmPPve5TfR1cGt6CVlW6KrOSLqbOTxxKxnHcbg1vcSZ4d7A83Acdir6XHeeLjLS28nZ0b7nkGTVBfXR/BqGrrsoMb/fi+Ow4eN+7B2dYJo2lyaHPSfI8YEujnxaVyFdY7qS6I5OMtx+Mo/jOIz21WYo9ZL89QTORDTM+s4+tx/PEg0b9He2eV4uwHOSOqE6063qAibUEFr7CHNWC0b3JLbiVlLZQpD3g5AR5WB1qMTcyqWjNSjbUV/x+y2iu1ubAorM9e1Ef5truL8rUGH4X4NLXqxtFvrrlAP8Ks/9XW3e+9mcbCCka1w5N8lQXzeDPR3cfjjNzfuPWd/eDSSMQKUCLK77lKJ9TP+utmbaW5I0NsT58PEzdnzzm17fJqG7o5XxoX4URaG1tZXx8XHeffddLl26RDKZ5ODggNu3b7/UafJl8SYkyj8JXi7wGZm5vCzqk0GxWOTBgweUSiWuXbv22h/E6ySXUqnEgwcPKBQKXL169YU7it6Exl/obec37m7RlgjRkQjxbCvFUGuM41yZlYMslweaEAKebqboa4qwfpShIxFiZuuEz4+0sH6UZW0/jQAOCg5DHWFa4yEerx8R1RUyRRPTdri/uk97BTCwncqTK1lc6Gvi7soBB5kiU10N3F87oi0iETFUtk6KCCFhlwsIVUcIgSocrMqGTEgycqyJPcemrUGQ3quTnz/OEo2E0FTFWxQcxyFbKLF3kmO0p80Tq6xKdmwfnpCMR+jvaH6uhSMJuPlknon+dubXdymbVXRXbUf5bHmTS+N9tDfG2D5yF7R4JBzQJNs9TDHY2cy1M6NcfzgLwEB3G0sBV0qH9d0DNnYPaW2MM9DZFgAegMuZ+fDpgvdzV0uSm4/c4w11tWDaItDCAidg/AUEyIxHJxkW1rbI5PJcnBzhJJsLVBLgBCTzAeb28hj9592WpRAUskfIPlKoLevg2AjfXMEsl1B8RbqkhYg1NFHwJSIhRIDwONLXxZyvPdeYiLLuu3a/6VgyEQ2w9JsbG5j3PXfTJw8zOtDLs4VaVeH4QB/JRIyltU06WppobU4S0mRUVWHvIEUul+f92w+81tvV85Pe86pimNXwz9oGe7sCJMjD4xSnx4ZQVRlNVbl+9zHgWgj4RSxzPrDIj7x39bnNkRCCSCRCJBKht7cXy7I4Pj7m4OCAhYUF8vk8iUSCZDJJU1OTx6D/uHgTEuWflLbYH4vkoiiKt2uowoyTySQXLlx4Iyz4qyaXk5MT7t69SyKR4Nq1ax95LkmSuDrQwHFZ4veebFE0LUba49i2Q6FscaEvyXfn9/jSWCvvz+7R0xQhlS8z3BpjK5VnZuuYVK7EYJNBTCuxcmKzmy6ytJfmXG8SXRHcXNznycYx7YkQ26k8QhJcHGhibvuEol9wsOJ7v5O1sU13YRZCwtAUSpXvfMnGUxsUio5TWbh2iyDH2tBCTZiZI+z8CQNtCe7NrTPZ387c6jalssnkQAdPltxkYNkO430dpLM5HszXFuHDkyxN8chzhmdnR3q4O7PCyeou3U1xjk6yaFLwMYos8XhhHduBixND3Hm6wHh/B7ce1+CUsiR4trzBcTrH1HAvW3uHtCcTgeQy2NXGYqXts3t0wu5himtnRklEw6QqxLx6EEF3e5NnQbywscfZ0X7amhLMr25xmEoz3NsZmKd0tiYDyaKlMe6JSd55MkdLY4JYJMSVM2NMz6+SiEVY39lDaGHUZCdGcw9msYBi+DctdYueomHlT5BDscDvquFYJlY+ha1E2D9KMTncTyRsEAnpHJ1kOMnk2D86pqkhwRy1RTlodxwOQLG721sCJM79g1rF09rcGAAFNMajSJJEc2OCxopk/7XzU5RNk2jY4NbDp2ztHbC1d0BHc6M3Azp3apT707PecXZ87cuR/h5uP6oKqzqBZNLa1Mji6gYdLU0M9nSyuLbpaaGdnRjxHjc20MOdR64TpK4qnldMZ1sLP/qll6sgV50mm5rcqjCfz3N4eMjBwQErKyvIsuzBeZPJ5Aslpf5Nbot9JpLLq7TFTNNkZWWF2dlZRkZG6Ovre2M0xaskl42NDaanpxkcHGRwcPBjz1V1tvzpq/3spgtMb6SwHIf1wxzxkDt7aY8bLO5lOd3VwH66yF66SK5YZqjJYOGgwGRHjCdbacaTEookWN7PMNYR5/7qIUMtUcY7EjzbStHbFGE7lWfrOE9jxBWR1BWJ5pjOfrrI9MYxIVUmX7YQcvXjFZTMMoosMJGwhYJjmQhZQUgSdimP0NydcqlUQtJCKA3tiFiS6VQeoUd4srztJRh/HzpXKLG8c8zVid4ACRBcf/YH8+ucG+nl/pz7xfbL768fnNDX1kSmru3T39rA/Ka7o/7w2RJXT48EGOYAU8M9PJhZBuDJwhqN8chzCK22pgYvuQCM9ndx/eEsDdEw75wa4sGzpef8X47q5khqZXhvaCpXz4y5jHVfculpa2bT1z7q72oPEDoHutq49WiGxbUtNMOgsWeEYvMoedndmdqAbZ4E+tOSEcWxbYRvx+uYQdsCyYhCuYBZzCEZUeRoE5GQwcaj97121tVzp7j/tJaQs/k8Ha1J4pEw8ViETCbD+YkhDF0nEg55fvKO4xCPRrh8RgccTNPCMi1ODXZX/hamLRnHshwKpbL7PNtmd/+QRDTMB3cfeed8Z2rMgyG3+hILELDDbk02sORrdfkFP4d6uz1+SywaIRzSmRjq5+n8El3trV5i0TU1WEH53q+e9haKZYu2lmYWVta5ev40rxuhUIiuri66ulyVglQqxeHhIaurq0xPTxOLxWhqaiKZTBKPxz079X9TB/qfieTyKmHbNouLi1y8eJHGxsaXP+FjoppcHMd5LmlU5yubm5ucO3eOlpaWjzhKLfwAgb/xA6P85//rIx6up2iNG+ynC2SLJpOdCVYPswhJYKgyZ3sauLtyREfI4XxvA+mim+yeHdpcHWpmbidNuNLbX9jLMN4e5/JgC2sHrs+L7bhOmUe5Ekcrh3xxvJ35nRM2jnLowi1NhJCwzRKSooGiockOkmVSNMGxTS/5xMMGmUo7WVI0731xZA1U0JoTOFaZp/uHnB4d5OnMQuD1RwyNOzOrgSTSWEkspbLJg8VNLp8aZOfgmOk6mfy2ZJyny5ucGuhiuuLpUu/uvLq1RywSorkh5kGC60mQrY0Jbjya4/LUKA/nligUS6zUsfQbK7OP40yOD58u8t65cZY2dz3muyscWUs2AryfC6UyNx7NMN7fxdUz40wvrHKSzQUl8QlCeQFyRROloR2loQM51sRSScIqHCH71g5R1zoUslKpVOK+x/grlTJW7oRI2MCJ1mYsRTkMkgy2ey/5XRej4RDT88tYls0WB5yfGObpYq3tdPH0OLcfupWCJAnCRo2ncnZ8iAe+z3xyuI8n8+4iHg0ZZPMFb8PR3JhgzucK6Vdi7u9qZ9eXXPxD//6eTnYrzpdOHVmyvSVJU2OcQrHE+tYOf3T9rvd98wNzxof6efB0znsNs5WW2EB3B2FDZ2FthbWtXb76oz+AptYh7l4zqjL5Van8YrHI4eEhh4eHPHr0CMdxaGxsxLKs157V5HK5T8yO/yzEZ2Kg/3GRzWa5d+8eAJcvX/7EiQVqvg71iLGqZMzh4SHXrl17pcQCeDsUcNtSf+tHJxhqjZEplIkaKqe7G1jcy6DILmVvfjfN1v4xjYbEZl5idjdDY1hjpKKMXLZscFy/mKao21gP6wq3FvcJaQpne90F5fH6EYmKRtnczgl7J3kSukShXKvK/HDifNmkhIKQXV0vx3J3wxkTRGWfJ2QFx/T17SvcCSGryOEGnqU1lM5RjOYuhOaCDoa7msnkizxc3OLieD8AI73tgRnNrWcrjPQFdaFwHPaO06RzBZ6ubjM12El7Y5zFrSBKrCGiM7OyRbFcZqS7jbCh8cQ3fwFIVCDJt57M09SQ4NqZOpSY8/yspFAus71/xLWzY4QNncHuei+WZEDFubOlkWdL69x4+AzTsrh2doI93wJu6BrPltYQio7S1E146B2WjAHUFpfwWJ2Z1COQZCOG5NRJ9VvPVyqqU8ZMH4DjoESTiLqvr4NArgz2G+LRgHHYaH93YCDul3xxF3MfEmygJ4BuM3ztHlmSAgizob6uwOvZ2PahzwZ7AxphJV/V2t/dEZhF+dFmowM9hAydq+cnmRwZ4OA4xa0H0zx8Ns9gb03bTJakgLaYrteuc3yon/7uTqZGh1hZ32Z+dcu7zi9/6V3edui6TkdHB5OTk3z+85/n3LlzXvVx9+5dbt68ydzcHIeHhy/tmmSz2T8RbbHPRHL5qJbTzs4O169fp7m5iu9/O4VWdcDm/5CPj4/54IMPMAyDK1eufKwzZX3Ut9mihsYv/MgYHY1horpCvmzRGNHoSISZ2U4xlJDYyjqMdTXSEjOY7Grg9vIBcUMhpMCjtSNs3OH/6e4GhICHa0c0RjQW9zKYjsPlwWYs24UqA2we5VBlQarotlPsShulZAtk4X6pbKHg2BYIgaSHcByHkOxgm+Vg28VHCFR8X1hJ1bHLJSxkiCTRk+0Y3ad4sO8gRRqwkbgzu87VySFmVoILeSxi8J0H81ycGPQEG8f6OliqQIkdBx4v73B6tDcwvJWEYOfYXaDSuSLzm7uMdgU92mVJ8MznZFlFRF09PeYKZALjA93s+ZBlqiLzdHEN07K48XCGsKE952nSUGe21d1a493kCkVK5TLH6RwXp8Zo6+6neegMcv9FQkPvYHRNIEWSCCE9nyj0cDDBCEE5F2z7hSK1qsUuZrGyhzhWyU0qFWhy3lE8FGA1lJi7IRr2CWa675H/qx4kaQ73dwX8WvxINxwnoF48PtQbRJj5vpOJaNCioHrfgQtBnl2sESnbW5KBv61v7XJ2YoQrZyfpaG1mc2ePG/ces7Gz681K3MupHXNieCDgNLm4uoGuqVw+e4rmhgSPns3zeGaBsaE+D2Ktayp/5t1PTwUZ3PUsHo97NhjXrl1jYGAA0zR5+vQp77//Pg8ePGBtbY1cLvfcZuNPk8unGNXW1MOHD5mammJ8fBwhxFsjONVXLmtra9y+fZuBgQHOnDnz2kmsOnPxR0dDmL/5A8PkyhaK5Eryz20dE1Uc9oqCsz2NrB7k2Dsp4DhgqDIfrh7TFpZoS4QYaY1hO/Bo7ZjT3Y3EQiqjbe6C83jtiNXDLMNtMUyrdmNm8pWKQ5IRuINex7YIVzgvQggc33sY0xXylkBSNCzbQlglwEGrJB4ACwVV+Ih0voVS0gyQJAgl0Jr70Fr70TpGWCvqdHT34Nd8OdXXQaFU5sOZFUZ7O4hFQmhycFMhS8ITtUwm3F3f6eGeAJ/GcaBgSYz2ddIQdTcAva0N3oC+GnOrm9x4NEt7c5LRvk4S0eBm4dRQT0BqxnZsvvXhY3o7multSwIOG3X8mJS3CxdIoTh7Tgypa4rHhQYyjSMcyY3IoTh2Odga87e0ACTVwCkGr7ceWFBCQRROkEoZdwYWTT53/wtZwS4EZ0RyRRImwINxgslksKcz4MHSUkes3PFJp/R2tgcMvmJ1swB/22tkoCewUOZ9jqldrckAh6ZYLHN2fJir5ya5dn6So1Sa+9Nz3Lj/hA2f5tpIf2/AmthfqUR9hNpTw/0M93Wjayq37j8JKAKEfR5DX7hy4Tki7qcV1TXBMAxaW1uZmJjg3Xff9Vr7+/v73Lx5k+vXrzMzM8Pc3BxHR0dvNbl8+9vf5itf+QqdnZ0IIfit3/qtwN8dx+HrX/86nZ2dhEIhvvSlL/HkyZMXH+w14zOXXEqlEh9++CG7u7tcu3aN9vb2TyST/6IQQiBJEuVymcePHzM7O8uFCxfo7+9/I5DAR5EyT3U18n/54TF2Two82zgkrtrEImEiho6hynQ2hBnriPPh8gEX+5sq1wb76SKiMqg/zJVQZQkJgeO4C7CDoLcpwuxOmscbR0S0yscoybUvoqK4SUZWSOWKiMoOV/jIZ3lbUDUUkdQQtpARjo0qLBzTvxD4HB99hD5byChOsJ8saSEOLIPlUpT4wBn07lPoLX083c0hVLcyeLqyRXM8ws5BKvDcs8O9HKQyzKxuIclKgGtSja7WJM+WN5ld3cYREmdH+4jXaSANtCe92czq9j4LazuoiuK5RcLznI7h3k5s22F1+4DV3SPee2eKsOEuSkLRaGjvZakQwhi4gDF0kdDwZQ6UJlffy6rjwejBCkgORbHLdcZLVjABKUbUHaabZczMAbJdpmya2FrN/8aWDe/z8o5dV7lImoFkxAIQ5MHeLvZ97bvWpmBr+dCXvJsbEwFvl87WoFHYtt/ga6A3YD/sH6EnE3EvoYUMnb7uTs5NDDPa10l3WxMPn83x4OkcN+49plgue3DklmRDQOLf/50fH+oL+LVs7OxyYWqM02NDJGJRbtx9xEk6y1Bvd+A6V3zt0C9/8dMVqvRHFYbsX1OEEESjUXp7ezl//jxf+MIXPCuQ/+q/+q8YGhriww8/5A/+4A948ODBJyZxZrNZzp49y6/8yq+88O9//+//ff7BP/gH/Mqv/Aq3b9+mvb2dH/7hHyadTr/w8a8Tn4nkUn3zq60pVVW5du1aIHu/DTdKf0iSxIMHDzg5OeHdd9/14IZveqyPSnxnO6P8eL9N2bJADREL6/Q0ulDkpYMsuiq7asCbKa4MNrN64pAIay7hcqgFScBBpshBtsjtpX3eG2lFlQUz2yeosqBsOWQKJo7toMvCG+baQiKqu4lEUjRs20bBvdmr1YeN8GDAQggcs4wjZAqOgqHK2KU8drkYYIi7rTFf4vHZ2Aot5M1uAAr5HJIWQoo1U4p2oHedwug/j945TkFPktObGBgc9Hb2Bd+x9o/TnGQL6HWExR4fSTCVybG0uUfICJqX1RtjDXQ08Z17T4lFwpwdG0BTZKYXgzObvYNDhKwihRMoiVZWSxH2jF4SUz9AbPA8ZvMIWks/SjTpvcde1FUmlmIg6h5jiOC9q4dqlZTjOGiSg3myD5KEEm3ClrWAqRpUIMl1lYpdx97XnBJDYxNoPpBAq48FD0E/+mgkFKg+BuoEODO5WoXV2tQQYNcnE8H22cHxCaeG+7l85hTvTI1xdnyYjpYm8vkCS2ub3H86z+zKJsmGBm/+4wDzPj5Ln4/oqMhyoFKpMv0He7r40pXzZHN57j5+xqOZ+YAtc0tzLXmODPSwf5QiEjZ4950z/PAXXg5BflvxKhwXWZZpbm5mdHSUX/7lX+a73/0ukUiEhYUFPve5z9HV1cUv/dIvvfE1fPnLX+Yb3/gGX/3qV5/7m+M4/MN/+A/523/7b/PVr36VqakpfvVXf5VcLsev//qvv/E5q/GZQIs5jsPq6iozMzMMDw+/sIL4pG6U/jg8PMQ0TUKhEOfOnXttqGB9vKgtVj3P/fv3+YGxdrr6Y/zS7zzFtKEtbpDKl5nqSvCtmV3eG2nhg/k9bAc6oxLtyRDbqQJzO2lOdTawcZRjsquBJxvHbB7n6WqMcJAuuOZSQnJbUw6ULIjoKtmyjRCCbKHsoodw2y4mCgiHREh1ZzNColA2XTQZYOh6jQuDgqQqIASqsCnkM0iqgZAVZMf2UogfXSYkGcnKY8nuzt1f5QhJxsqnkY0owoiSsso48QQ7QhAaaEEtZ1m0BHpnDLtcxC7liLc1cWd5ncmJMRZX1ikUC8yuBWc5E/1d3Hg0R09bE5qqsLZzwNxq8DG6riEUnf2cxf56itHRcbZTRUzTQag6ioDdcCORpHu9ZuaQA2LIUbAA27SQfPlDUoMSQ5IRRcZyZ1FUeEUUyVO7rxS1xjMCKAvdTRRmCaEalLQQQpYDlaVsxHBsK/C7+vmNrEeQnDKlQgFsi1I4wTFh9g6PURWZlqZGJCG4MDmKqirIFQvsi1NjHKdStDQlOThOY1o2lmVi6Cq9nW1IQiArMrblMDkygCLLtCQTpDM5t1J3bBRFZmK4j+OTNA3xGE/nlr3rujA56iG3uttaAoRMv7BmX1d7YKZz6JPKH+7r9kiQrU2N6JpKf3cHi2sbtLU0egz+rraWAPLMz8pva04Sj4R4PLuILIuA3MynHW8CQx4fH0fXdX7pl36Jd999l+9+97ufuHr5qFhaWmJ7e5sf+ZEf8X6n6zpf/OIX+eCDD/gP/oP/4BMd/zORXPb29pifn+edd94hmUy+8DFvoy1WTWKzs7NomkZvb+8nTizwfOXiOA5ra2vMzMwwNjZGb28vU0C2aPIPf2+G7ZMCPY1hrs/vc6angQfrR5zrbWT1IMtx3sE+ztOdDLN+mKM9YaDIEk1Rd3Wb3TnBUCuIMEcAFdiwbYEkkzMhbsikcyUcSfaY3aLSMhNCkC45CBzsctFFh1UeU3LcqkbIiotssoo4skbZkdyfJRm7VMDQZEwcbARCUbFLBa/lJUsS1XdC0gwULMzKIqsqEl4KllWcYhahu7tRoYWQbAn0MDJg5VKsm3GM7lMsO6B0RgnJBnnHIdRiuYg2SWK6LKH3hdmTZRAS0dEhsukTQmrYXZQlmaVihvDYsPf5bJs5yokWqqlPtfKUfYlQD0Xw32mSEfXeIwBJj+CUC1B5zUIInEIO9Fp7rlg2wZeQcrb7PjtWGUOUkRSVgmNDpLbLFvILIMm5Y+Swz3RNDbbcrPwJEV3C8pEw846bTMtmkWwuz/X7T7wF6sKpEe4+qREXI+EIM5X5hCxJ7B0ee0Pyc6dGuD9dcyM8Oz7EgwpvprkxEbA09jtE1lcc3R1BpeOFNZ9Ncmuzl1wMTQvoyWmKxHh/F7lCCdu2+dbNe97f9nxIs57ONjYqRNbOthaW1jbpbm+hs62F1Y0tj/D5lR/8At/LeJPkAi4UORwOo2kaP/ADP/ApXJkb29vu+97WFkRJtrW1sbKy8qKnvFZ8Jtpira2tfP7zn//IxAKfPLlYlsWjR488roxhGG8kXvlR1+bH3T958oT5+XkuXrxIb29NR+uvvDvEX/v8MLosWD7I4iBYO8jRGjMQQERXGGyQ2Tgu0tkQZqqrgYNMkf10ge/M7rnWyI5DoWQBolKxOOA4qGpt3pItWq4Eu227/3B303qlBeYg0GWpsgMXbuurCkX2tXP83i3V1pWkGZTQEY6JZBaxizkc38yh6CiB1phk13batmwg/Ha6vnOVHAnFqT1WDwdbW6VKy0wI4SZEq4ykGliS5i2+khaiYMvI4QZkWa4kSQFaJHCNJUkPnLssGYG/W7KOXfb5ysgKdiHo9xKu25aV6u5NS9I9JJdklbFyKczMPkJRKSkRCmgBxWFwk1j9bMapa6/JRgTZqRwvd4IUipMt1+1shUBOuCrFI/3dgZ2vJAU7Agu++crEUF8AfeVHgulqkKA46BPbhCC7fny4L4Ao83OB+tqbSfvAF8c+nbexoV76u9u5dn6Kwe5Odg9TPFtaZ3VrN2Ba1twQD8xljn0E29GBHs5PjrKxs8fuwZGXWCQh+PIPfI7vZbyJrhi4c5JP6qXyOlHfJXoR/+9N4jORXIQQL5RO8IdfAuZ1I5/Pc/PmTXK5HNeuXaOxsfFj5ySvG9VjFQoFbt26xcnJiXee+vibPzjKX7rSR8xQUGWJk4LJ6mGe6c0TVg6yzB1aGKrEraV9nm2lWD3IEdIUHOA4XyZcVaqtLhiVm8BxIGa4i4HluIN6IcsgSS4bH8czfQI8LoyQJKKhEJbjVjL+z0FSa4uwy3+pLXzlUhlb0ZH0MJKqE5Ist81jW1jFvO88voVPktF9swehBNtLflMnEwW7VPtZMYLw3fovbQBKLQSmLxkIScIu+n+WgygrIdAJtpsc32sAAskHIJ0PDuTlSnVTeTS2WcJM7WPlM9iSihxJIiQ58KWVQ9EAqksIQVSpH9D7ZjO2hZ09ppg+RgonkMMuetDWIs8x+JVKcrF997gQIiCT39veHFj4I3XeJv4FfHyoLwD/9nNW2pqTATSaH9Idi4QD+l5+5FYiGuHoJM2lMxNcPO1yjWYX17h+9zFCiMBQPu8TTu1sb/YdI8zi6gYXpsYY7utma3efe09mcByHdh8Y4czY4Pe0JQZvpitWLpcpFovfEyhye7tbbVYrmGrs7u4+V828SXwmksurxJtWLgcHB3zwwQckEgkuX76MYRje8d5m5VIoFLh+/TrhcJgrV64QCn003PH/+uVJ/vz5bjRFIh5SsW2bvGkR0mRMB2QhcN0r3Y8nVzI9heN82ULxQ3iFQJElLAcyRQtZBM3XhCSjKDIOgnzJQqk+VVK8xJG3AdtGUnWKtiAk2ci4fBj/omWotQXd1SSrnENRKZRMd56iaDi2m2gMyghVC5Ay/e+5pOqBBFLfFvI/D0nFKfngu1rYQ8DB8+0i6r/Uzsf+SK5eeVgKJi9Jq0OAGdFAwpFxiFHAzqXANpGNiDuf8rWr/IkC3NdbDyWuV0CWtBCalYfcEY5ZRgonngMQCCFhF+sgydEmFNUldVZjvI7U6F/ocZyAXtjoQE9AcqfqL1P9/6e+Kqa/y0+OdVj1zVBGB3pqw3vHoVgyeWdqjEtnJzgzMcL23j63H07z4eOZQGXkR7S1NScDia4Kv+9sbebM2BC6pnL38Qz7R8eBdtymrxX3xcvn+F7Hm+qKAd+TymVgYID29nZ+7/d+z/tdqVTiW9/6Fu+++8mJpn9ik4vjOCwtLXH37l3GxsaYnJwM7CLeJrQ5nU5zcHBAf3//R1or18ff/vEp/uxUB8WyiabIxHSVTNEirElkSxaqLCiZ1UQisB2oaFJiOQIhBCFVBqr/BXBcWRgZNzFUFn+XlChAUjAtE112E5DP8qUGVRaCbLHsDqfNEji2d5ySI3ttLSErOL4WjqbUDibpURQ9TAEVIUk4pTxWPo3ulCjYBIh/MV3xPS8UaEcZda2xQPUgpAByStJCCKt2PZIewTfhQYnEA+RQWQ8HrkM2woEqQg7Hwa6dT9LD2KWqdYCNU8pjZg5Ry1nsYh5bUjnOFpDCcZCUyjUFE5KkhZCsoI2zoQW/gqIyxAewcieEnAK5bBZCDR6QQA7Fn0OjPSd2KUn0DI0F7IXruT5+B8q+7na2fArJyYTPKtpxAvBkt4qpJcFcvva+93d3eDbF3W0tNMRjXD03ydToIKMDvSysb3Hn8TNuPZgmna0luonBvkAy29rz6bX5PGkSsQgRw2ByZNC1Zj7JegKcQ7014mhrU4Ob5BxXDfrzF8/wvY43daEE3pq2WCaT4f79+9y/fx9wh/j3799ndXUVIQQ///M/zze/+U1+8zd/k8ePH/O1r32NcDjMT//0T3/ic38mBvqv0t97HShy1fL4+PiYy5cvk0gknnvM20guVbLn7u4u8XicgYGB13r+N756FtO0+b3pLUzbnbmUyiYhTSZfcisH03Il/BwEpu0Q1RUKpoVpVTpijkO6YCJJLrTYsW2KloQsQJUFRQuKFXkXB4EjZIqm4xIYbcnrr0qq6s5YhEBWdWzHRigakqxil4s4jo2mG5RLxVqV4GtTFRwJSbjnEJKEZOaxFAMQaKEwJgpF3HXXyqXc/3FsnJCGsE2XYyMEko83U0ZFskvYkrtrluqqk3oUjVnII0cq3BRJQpRyoLoLqoOE5uQpicoQXtFQzDymD9lm59MIT3lY4BRzLkelmMcsl3DKRQzVhWoLI4JkligrYW+HVl+ZSHoYHYuiU1tgDBn89ElLrkOe4VBM77kItHCMPCC0YMtLCIGZTSH7dMWUSAIqnzGOjZU7xgwHd79+f5authbWd2oIro7mpgAfZMdHnBzq6w44PXpVjANtLa5+1junx1AVhVg4hCJLrG3tsrW3z3E647Xerp6rSeobmsb0/LL3czxWq/Dq0V+ZTJZTIwNEwyFUWea7Hz4EXAUF/zH8c57+7k6aGxvIZvPoqnsPP3361BOWfFtqHx8XbypaGQqF3grQCODOnTsBUMAv/MIvAPAzP/Mz/JN/8k/4xV/8RfL5PD/3cz/H0dERV65c4Xd/93ffSuX0mUguEGzlvCheNblUtcg0TePatWsf6Uz5SZNLqVTi/v37lEolhoeH2d3dffmTXhD/j586j/nPHb41s+NVJPmyjaZI2LaDaTuokjsiNy239RXRZUzLJFeyvPfNrsroC3feYguJsuVU5F4k9EqiEUJC2CYlWwYkHLPgosBkBU12KNluInPMsuf/okhgyyHKtoNtW0jlApKqu3+nmlBkrGIeqWKhXLJsqqLMplBRsSg7NbKnbLg7sxyAlUeoElaxQExXSWdPQIAQMqZVQgknXMkazcAq5rxzSHokgOIKR6L4x+Glchl/p80ygwguTRaUHQcsV/4mqkmcZA6hkiBl4WDZAqFFULQIFLMUhe7RTyQj6lZDVRSZZiCZOWyl1hJ1ygVQarvQkiXwIZSxJQ0rn3aJmELghGIIWUPWa8+RjSi273UDAfUDAEdIGHaebDaL0MLIkUaOHYuB7g6iYYOGeJRiqUxnmzuviEXChHSZSNglaeqayrmJYRd6XoEgtyQTSEIiHovQ0hjHsm3Kpkm+UKStKcnBUYquthbuPp7xrmOkv9trYU2NDvHIJ3h5cFwjck4M93OvKrfvEHCI7OlsZWNnh9GBPlqbG5lbXPWS3enxGupvbLCXm/ddNnlrUyPPFpaRJMH5U2PkckWmK9Do/+jf/2kvoSwuLvLkyRMSiYQnp/82/er98SYD/Uwm81av50tf+tLHrqtCCL7+9a/z9a9//a2czx+fmeTyslAUJcAUf1Hs7e3x4MEDurq6XupM+UmSy8nJCffu3SMej3PhwgX29/c/0fzm//mXLvALv3GHb8/uokgC23YoWQ6KcACBJEsUShYxQyFdMMkWTQxFomDaSAIsmwpqDDRFRgIKpo1NBRrsQMG0EKICCVZlqk7Jhq5TssG2yjiyhLfy+RYvSdGxqxWOFgbHxrYdErrEUTqDpEee2xxIWsiT9QeQbBOEVvubj79hmWVk1UDWQ+QAoTpelaLZqjtqt8qoMjhmgZAmu8KKjpvsNE3DsixyDoR0Bdt25dxPbAszcwQCIoZOtlhElE2QXGi2pakusk3REIpG0TGRIyHviy0c2zW+qoImtHAAWi0UFSub8gbrAOVCATlaSwJ5s5ZkAUzZcKsxoaBaBfL5PNgWSrw2pJbroM8AdikfSC5yKOZen3ABG3Y+RQEnUM04Qmb1xMRaW+TKuVPcfDDt/W1isI+5FXdBTyZiHJ2kvc/vytlT3H5ckwAZ7Onw2mKjA70BjTDha8e1JhsCisj+wX69WrKs1BbdqvmXJAnGh/oxdI225iSzSys0xqNeYolHI0zPLXrP87f8hvq6GOrtYnFtg6PUCYsVIU5dU/n8xdNEIhEGBwcZGRkhn89zcHDA4eEhS0tLqKrqGYC9zarm32SjMPgTMnNxHIf5+Xnu37/PqVOnmJiYeCVm7Jskl62tLW7evEl3dzfnzp1DUZSPlH95nfgHf/ki7w234ACGJmPIYDqCsOa2sQxNJl0wiYVUQFCqDDU9My4h3LaaZSMrVVkXgSrLHsFRFjYhVaJkCa+vX7LcVowkq5QdV6Jfk9yfqzMOC4FCbSbjmCWEJHFSFkTDYbAt7ELWTT5VSLOQAuiyvO+tFpKMIflQTKoeTEw++LIpaThmESGrmKjIoSh5XPixHGlAkhUcPYYUbkCONJAvljHVCDn0isijhBJpoCiHUGJN7pA9FEfSIxSFBr65kSWUAKrMERJ2oTYHEEJQzPhsleGlbP0AvNixsXIpiqlD7HKRsmygRBsJxYJtW6Fo2PnggD6QoSrvoZk5clWSbRs5ksTRY88LWTa4w/agMGWMZ74EMdwfVDZO+4b+HS3JwLwl6YMEK7IcQIIN+ODJjkNAgmbIJ6TpyuG75082xBns7eTi6XEiIYP9w0P+6MaHXkLxJ5CxoT4PHJCIRZieX6K7o5Wr56c4SqW5fvcRO3uHtDXXUGI/+LnLhA09sB6EQiG6u7s5c+YMX/jCF5iYmPCqmvfff5+7d++yvLxMOp3+2F3/y+KTeLl8GpXU9zo+M5XLm7bFTNPk4cOHpNNprly5Qjwef8GzX3y8QqHw8gdWwnEc5ubmWF1d5ezZs7S2tgaO9TbAAf/gpy/yV/7fv8PDXQtJUYgpLqpJFrbbSxeQzrsy/pmCqzlWtmx0RaJYtsiXLXAgW7QJqYJ82aFoOu48xgGQyJUtDEWiVKogpoRAUOmpVW7oki1QhIOFBbgw6LJpISq7TSHVbpucJSHLYFcMSqxCBqeyZzF0nerYt4oMq1Yk/q+OpOjYfkKlogfQXE656BEWbUkLtIgkPRxoTVGHOAupKn78VT3D3SwXUHwVQT2kt36xrkeRqZEYtlOrbmQjWqkyjMrxSli5YxxFQw7FKlWOE2D5l4X6XGWiSgL/mZVQ3OUjqS6zP6LJpHFQorWFVCjac6RLJd5KpKGBWV/VMNzb5XN5hLwPoZaIRQKJp6+r3RvQ48C6j2k/MdzPo5maGZlfpn9ssDegZpytiIRGQjrnJsewTIvtvQOW17eYW1r1iJSTIwOeFH81gVSjWKxxnc5PjnF4nOLhs3ksy2TLR75c9JE0f+JHfwDbtj9ysylJkuckWa1q6t0mq+2z161q/k02CoM/RpXLi+RfMpkM169fx7Isrl279sqJBT5abPJFUS6XuXv3Ltvb21y9ejWQWF73WB8Vpmny4MED/uqEypW+KJosY9lQLFtYjvtfSZKQJEGmaKIrMuVK9VIyXTkWSRKeXH3epDrxJ1JBZFkAjkPRcnAk2UUcOY67MHsoMJeMaSKQKxbIdrngMfnBbQfZZu2LbpZqu39Hkl3uix6m6ChEZQvFKmCX8gG0V95RED4Pk7DmkzhRNHdWUYl6VeGA34ysYvk4LZIeQfgSSFGoAVKnUIMQ8XqQgBYKfrElI1KHKosFEpAtqVi+agfbwsqfIBVPsPJZhKwhqQZypMFLTFIohrCDGyWd4M9CDwdFKgVY2WPMXArJiJCXDORw4jmSZf3PQlFp6xsM/M6v4RYJGTxbWPZ+Hu3vCdzLxz4dsr7uNtZ9ls4ho/a5xKORwHGSiTiSJBjs6eTKmQkiIYPejjayuSLlssmNe49ZXt+it07+xX++scFapRKLRjhKpbl24TRNjXH2D495+MxNbH1dtYppYqifnb1DJEnw7jtn+MHPXfrY5FIfVbfJM2fO8N5773Hq1CkURWFpaYn333+fDz/88JWrmjedufxJkNuHz1Dl8rKorw52dnZ4+PAhfX19jIyMvHYZ+arVRiaT4e7du0QiEa5du4b6Age7T0rIzOfz3L17F0VRaGlp4T8ajPH/u5/hXz/ZwsHBcmx3Tm87CAGqDEXTrgzT3QqkWsV4MvZCoMtQNCXSedN9lBBVGTIQAkNXKJYdzMpi6doey+7iKauYjkARYKqGCxoo5VEUFUdS0CVqtEPhgxOrhgsGUFSEEOSKZWzFcA0SzSJWMYehSBRNG9OxPR5IwZFdaEDlc5Qcs6ZfprkwYK9aqUsIsZDmIbCEEJSLWZRwQ+U1qchWDlOuPFcz0ClTrIi/SHoYySxgV1BbtuxWUVKlipIUDSuX9vzrhSRh5TPIisvDsMuuSkHcUDgpmEh6mEgsQUno3txeCrlmYLaoaY+FpCI5/9evzo3SEq4bpZBV7GIGJRRD1sOIUG3hEbIC+RMwapsq2YhV7oiKknK5QMqHVguH9EBlMjrQUxusEyRHNiZigeqjo6WZlfUaF6bGPXE4NdxPJpcjEgph2Ta5QgFFkVlc26CpMc7t+7V5z5xPDr+ztdnjxbQkGwIJKl8oEg2HODUyQCwS5vc/uM3a1jbNjQ088c1e/FpiDYkYl89Nsra5zUBPJ+GQ8cZMeX9VA3xsVdPY2Pjc2vAmM5eq9MufhPhjlVxM0/TaUysrK5w+fdpjmb7J8V6WEHZ3d3n48CG9vb0fm8A+CSHz6OiIe/fu0dbWxsTEBNPT09i2zd/7C+fQFYn/9cEGuiJTtCzKlo0sBMWyia7KFMsWYU0mVzLd1gxQslxhynypTNH0sfgdx9MZcyqLT9ly3IaYrOJYZXcAL8mEdJVCZSNdMi0kRarYHqg4kopjlig7NpLk6otJqlaDDAuBJjte4jEdqQbVVXQXiOAoSDJYxRx2qUhElxAypLMnSHrYVSdWtYC+V0jGQ4JJmoFVqCWArCUhpFprTNTNJwqFEkrENwzHAmoLQT08OKwI/A3TWEgl69g45QJOuQSmCfkTbFlz21tGjCwGFVQzRXQku4xTgVALISGVs9hqLTEUypb/EigLHbtUQNIMl4mfP8EqFVASrchqk5toDdcl1F/JmaYV+BILRSMsShRtgWwWKMkhTpxEpTq1GR/oC2iL+e/pkKEz7Vvch/u6uPdklkQ8SjRsoMgy75weQ1MUQobOYeqEeDTM9t4B+UKRRzPugj/Y0xloTRV97Pq+zlZWfGRNP7dmsK+LvcMjDE3j1IgL6y+ZZW49eMLU6FDtuvp72L93DEB/VwdLa5vEImGmxgZZXt/0FJJ/6sd/GHizRf5FUa1qurpcN8zj42MPFPDkyRPi8biXbKLR6Bu3xf60cnnL8bLKoyr/8uGHH3oyLp/kQ3gZQGBxcZHFxUWmpqZe6mddrVxeV5NnfX2dp0+fMjY2Rk9Pj+dbU01UX/+3zqArEv/9nRUcRxDRFHIly1U+LpaJGSrpQpmwpmDZNhFd4iRfJpUvV65LePpgqixTtixsp6KKXDAxHVFBbUlugrEtqrteRYDp4P1eSLLbDiuXvcXNLBeIGiqO44pyShVpmrIjQRXppurY5dqsRZEE1awhaSGwTfKO+7xoOOz+v2VimSZmOeMi3ISEpQhkycREes7dUciqq7hcqS4kPYptljy1Z7kOspwpOkg+hHqubINaMVczSwgVF2WGgxAyVthw/18LIbSQy8+xLKQqEk4PYRcyLjSZSvWUS7vy/JWwneB9YSlhqFR4VN51K5/CLmZRow2ISANCDUrQCCFhFjKB48rhWGDmJMwCx+lD1HgrVhUCLSSUeCta8ZhiIU9LY5xwKETI0Mjl8gxXyIddbS0srW9QKpUplssUiyVM0+LgMIUmy3znzgPvvFfOTXK/UvFEQkZgNtLWnPSSSywaYXqu9jd/K623s52Vja3KZx8irOtcmBxjem4JVVG4ef8xAMnGRKBS8UOaezrbaG9x/WEKxaKXWPq7O7lc4dW8TlvsVcNf1QwPD1MoFDg4OAhUNbZtk06nSSaTL+x4vCj+NLl8H6JQKFAulxFCfGR76nXio5KLaZo8evSIVCr1ygCB6u7kVZNLlXy5ubnJhQsXAl4y9S22//jHp4joMv/d9WXS+RKGppAtlFFl2XW5lCVyJTcpFMoWmipTquiG2Q4VAiaUbcclZ5ZtUvkyiuwmHst3uarsVhoFyx1sRw2VTMkJwIbDuuQhv4QQ5KzKoqao2MWca1CmaOjCplRtx1i1XXraFDWypRBEFMhWCqycLbvgAkkBTUGYZQ/mawJWKYekhnBsE7niwlhl1TtmiUhI4ySbx9BVJMeiWChg2447N7JMhCwTD4dImwXKxSyyqhMOhcjjosJkI4qQQ+QBSXG8yqgIWIUTL3khJEQpDSGfFbFZCgww66VsLCUMVtn7vZAkdMekUCgS0RUyZdewTQ7HfO3AEGbOd15AluukX2QFK3PsznMsEzmSQI01Uy9wozR2UF7bY351i2K5DEcpLkyOBjgq8WjYk4BJRCM88SWFXv9gH4fF1RqpcmJ4gNsPn3p/W93y2SIP9nG7AoEWwk/kdBjo6aCzrZl0JsvR8Ql/eP1D73l+9v5ofw837rmJpru9lbnFFabGhlEVmbmlVZ8GWe1m/rd/7Ie87+KnkVzqwzCMQFWTSqV4+PAhu7u7rK2tPVfVfNQ68afJ5XscW1tbPH7s3lznz59/KzfKi5JLLpfj7t27aJrGu++++1IxzWpUr+dVyu9yucz9+/cpFotcu3btuf5q1SHTH/+nH54gHlL5//zhHMWSRTyskSmUUSq+Gm7XSyAElE0bVZGwLBvbAUe4i3lIUyiWvaxA2XIToSy5jxWShOVIHikSWSZTcpCFhJAlrMruOG9JSJ7cvo6wTRccIKtgmwhVR8Yhl88hSSqypnu7fSrS/2Yhi1xtaZUd7y4UkgylrMeql7RwoOJwTBM04c54jCjkM17ycWyTrC2QIwnKgF3IIhkRb8F3sscokQQ5QI4YOJlDJCNKwQGhysRUJ9Aas8tFL7m4H25w4O6IOsRbPVAgFPPQXe5rk7AyGaRwHNnMUy6VyDo2SrSJHLh+MaoOZhF8gp6GIgUkNUUF2ixV4NuGXSBTLqImaiATIatY2SMXRFAJJd5Cf18PzxZqCcO/voV0LZBMxob6uOWbkxz6qoWxwb6AhlfJd78O9nQFW2I+8MCp4QFMs0Q8FmN5fZOl1Q0vmV27cJrNStXR2twYqHaqMOp4NML4cD9CwOOZeSZHB73E0hCL8uhZDbn2F37sB73//14kF39IkkRjYyOyLDM1NYWmaR6vplrV+Hk1/o1yNpv9WHX4P07xmUGLvSiT27bNs2fPePLkCZOTtRL3bUR9ctnf3+f69es0NTVx8eLFV04s1WO9yrVV0W2SJHH16tUXDu4+Cnn2tc8P83/70UnCuopjuwgwWaoZL4lKG0pQE/YzKiqVqiyTLZre76vhOG6SCGkSagWuLHvHk1z+CmAJFdsysc2yi4byoaUsX3tKV933zEIg6xG3mrEdDNkhKls1lJX/s1a0gHhlyKeoIBQVfH+TNCOA0DF84mhCUoJaY0YE4bMSlo1o0ApACwXQWJlivRpxnSyLHgmig/RooDVXbY151yMETgVFZhdzrXWztQAAkF5JREFUWJkDbLOMEK6KsRxtRI40IvkQcwhBWKn7jNRQ8LxCYOfTmOkDnFKBohRCiTc/p9pcj2MSkowZrlXIuqZ6DHaAUyMDgURQ8MGTO1ubAm6VjfFaJeW2xGrHaWlqAFzy7kh/D5GQwcXT47S3JNE1mZmlNW4/nCYejQaEMnf9cjM+jbDOtmY0VeXi1AT5QpGns4usVZ4XNmrAjrHhfmzH5tKZU/zEj/4AfV21VvabDvQ/aVQ3m9Wq5vTp07z33ntMTk6iaRrLy8t85zvf4cMPP+T27dt85zvfIZ1Of2qVy9e//nWX8+b796Yz61eJz2zl4pdXuXbtGqFQiIcPH2JZ1lth0PrnJMvLy8zPzzMxMUF3d/drH6uaGD8OIFBVD+jp6fE8sz/quj4qSX31Ui+JsMr//TcfUChXDL7MMhFDpVS2CKkyJdNGVyVSuRIly0EWLrKsiiarGox5PwMFE091uWzZCMkVyxQ+9eWQrlOsJCfHLhJWIV8GIdecKEvIaJJNyRYVmfsckham6EiYVqkys3HFMCUzjy1UkBWiukrO1xrzt4/CukY1vUgVm19RmW0UheoKblY5LnVvqVnIIUfchCdkBd3JU6hoi0laCN0pBVBjsl3EqlhOSnoYijmo6IVJqo6ZTyFXWmFCkrFyKWSf2VeV/ClZJUr5DLZtolPG1EOgh5BsGwnb468ISUKz8hREreqpl4exhIxSzmKpYQynBLZJQTNA96HGXnAtVXFLp9LOtAsZNnK1hDE5MhBoiTm+dJSIRQIzjr6udq+qACdg9jUx3M/8ygadrc2EQwayJBjq7WJ1Y5uGWITrdx+51yNJZAOWyY2eXllvVzsLPsLl7v4Rfd3tdLa2oMgK79+6555rqJ+nlcorZOg8nnWlZTRVIWwYtDU3cfvhNP/uX/rz+ON7XbmAu3F70UC/WtU0NjZ6s5rDw0N+67d+i7/zd/4O5XKZra0tBgcH+ZEf+ZG3XsVMTk7yr//1v/Z+/jST7memcvFHKpXigw8+QFVVrl69SiQSQZJcxNLbUjKuVi4PHz5keXmZS5cuvVFiAZ4bxPujqs5cVQ8YGxv72LnMyzgzPzjZwT/+K5eI6TKyJIgZKtmCiSQE2aJJ2bJJ5UqENLky13A/4ionxl2AXRHMxoibGPDvZiQZx3ZQhI0kyR5vomhBlYoiqTrZQhnbtomoEsL073h9Ej0+wqEp3EG9pGrIRhRDdROLbZZI5/KodsFl7Ts2dqmG1cqjBLkbvl18PcdFNmKBHbxQg9Vn1qfeC1Cq82zRRfB9j+jBL56hBH9WFAXHLGPlTjAzh+58xyxgyypKtBEt3hI0XJOk5yT2c6VgC9SUDXd2VQm7XKSYPcHKZyigUpBCbtVUDl57PfFOSDJm7gQrn8bKHCHpEeSGTrdFCZR8UkohXePJrK8l5uOXCCHIF4oM9XZxdnyYL145z3BvFxdPjzM60IttOxylTngyt0gqneaDDx+xsLJO2TQD7PrJscGAd4xfCLOrrQWA7vYWvnD5HA4OK+vbXK8cqxoxn6rz1OgQuqZx9cJpxgb7+cPrd9ja3SeZiD9nCva20GKvE9Xv8MsWb8Mw6Ozs5Od+7udYXV1ldHSUZDLJ3/t7f4/W1lZ+9md/9q1el6IotLe3e/9aWlre6vED5/rUjvyaUV1wqwiqoaEhBgYGguZKb1EmvzrXqCLPDMN4yTM+Pl7EdbEsiydPnnBwcPCR6syvcpz6ONfXxK/+7Lv8+796k+NsiXhIJVeysBwHSbjy+vmSTVRXSRdK3lAf3PmLIrk75OOc6SHOTKe28VckCbNiOBYzFNJFCyEkCiXTQ0i5ZmQSOQtUTUNgUyyVKmTLqtKyjo5N0XE3BrZZ8p6fNR2QHBfRpWg4dpGCLSMkt71nFTKENYVcycSxTFdLS5JQQhGsOl95L4RERCl7VZCkh7ELuRpnpZJ8qlBlWwl58GyAbFlU5c8AyNu1wYqMhaoqFDKHLp5OklFDITCdgLaYlT9Brs5MhKBUhxqzHMlfmCCM4GwG3DaaXS4SjYTIySpytCnYSqw8RvbNeQpo2OWCh8pTzRxggdFQO5cQdI+epsk8oFQqMtLbjhASyYYY2VwRJAnLtJCFoKO1iUw2RyIW9VBhAFfOT3rD9YZYlHlfNdLUULu/mxsbAu0yxbfITgz383RuGXeo34WqKB58uaezjcVKFXNqZMCbveia6lVT/d0dhEMGuUKBG3cfceX8lHfsf/vHfwjd19J2HAfHcT6zycUfuq6jaRp/7a/9NX7qp36KjY0NdnZ2Xv7E14i5uTk6OzvRdZ0rV67wzW9+k8HBwZc/8Q3iM5NcbNtmenqara0tzp8/T3Nz83OP+SRulP6ocksALly48JHKya8T9ZVLsVjk7t27AK+VvF6V7T/QEuNf/PXP81f+mw9YP8qBA1FdJVM0SYQ015PFdjBUGU1xIcqaIlEyLSwhocoOZcshUzQ96Z1qUrAq0v1CkkiXHHTFTSyq4kKeERJCqUGUy46EKmyER7bMuVpmqoYsQ5V8LpRaC00oGqJcwKksxLIkVR4mXHhtKU9RcrkjVjHr+sJYZSTHJqY4pLIZwCEc0snl026ykSROyiXUsFqRVhPYZm0wLyQZK5tGjiTc5CjJaHaBgiXQZUHBLGIX0hWuj0ahZOJYJ8jhBJaskEcnEnEoiArhErAKh4HkUS8vI9TgvSWHYiiOiVkhngohsIoZhOwKWRaKRdfqIFSR2xeAIiEKJzh6bdahhWMBHhBCYBey2KW8K88TiuJEDJw6WZlDK0SrIjP9tEZkHJd6eLboysMkomGeLea8imtqbJD1rYpVsCQCg/zxoX5uVODCQECYcmSgh/27xwAYusbjijpyNByis7WZaDjE8tommqbw7Vt3vffCT7CM+maSU+PDOLZNoVjkJJ3lWzfd5+iaypPZWgvvf/8Tfy7wfle/S9/r5FLdIH4S4coq+uxtxZUrV/in//SfMjo6ys7ODt/4xjd49913efLkSQCx+rbiM9MWOzg44Pj4mGvXrr0wscDbqVxWV1e5c+cOQ0MuKeuTCNP5w58UUqmU50rpd7983eO8LJJRg//h595jrD1OSHPnLZIkyJVNTNvBqcxb0hXeizuPUbAqUv5KZbYCeG0x9/1wYcvV3xfLNpKsYNlgW6abVIQgpNZ208VKJVj1uHfRTJDJF11pE8dGyCph2W/rW3stBUcJyKpE/CZiWhi77IpX2orOScFEDseRwwmKwnBnOHoYSTVQQjGsUsl9XY6DoocQmBWSaNmt4Krvr5DIFUpIWoiy7MqpCFlGiTZSViPIkYRrUeAjZWazwXaUVAeJl42geKQrl++ThxGCQkX80rHK6FaeRMRAEmCqYZRoI3I4jmoHW3i6HmzxWVWpflzYuFw8ASFQIg3IoRrfxva7d+JWc2m7dqxELML8Sk2YcqCno9bKcxyWfbOQ02PDAUOvEx9ceGp0kP3DY+/n/SP3/0OGzsRgD6N9XYz092CaFrcePOH2g2n2Do9J+IbXk6OD7B+5qDRd03g8u0B3ewvXLkxhlsvcffyM6bklujtrFrxnxkfIZHMM93Xzl/53f5bRgd7A632TCuJtRLUV9zq8N8dxyGazn5oL5Ze//GV+8id/ktOnT/NDP/RD/PZv/zYAv/qrv/qpnO8zk1xaW1tfCM31xydJLrZt8/jxY+bn53nnnXfo6+v7xLIt/qgea2tri1u3btHb28uZM2de+6Z+neTiOA6qLPi1f+8qFweShHWZmKFiWg6xkEahQrhECKKGuwiWTMszH7Nsh4gm1xwphfDI/Pmy7f1eSBXtMSGQZBWEhGNZnuQ/VAb71V2ioqMJ2328FiJfmSsYkkU2m3OH+oAla56qsNs2q/Xos7bkHU8IgRRAZkXq9MV8BbgQPl0yAYqBju1K28iKm5R8e37ZiAbskrVwIuBYKdX53MvheGCuI+lRVJ8umFA07FxtAQY8VWTHcVxhT9tEd4ogZIpSiKyIoAbrEAw5uCgVCNpFgyvDb6YPEJLA0mIo0aSXcPzvFXUbqNVU7VzjQ/2Yvu+A3+7ZdZWsobjKPgXptuZkAC4crsjr93V18O6F0zQ1JBjq6aRYKHKSyfF4bpm5pTWmxoZIZ9yE5yLWalVHtZ0VCRlcvTBFb2cb69u7LK9v8eDpHOBWuLM+O+SQoXNmfIT5lXV+8HOXqI/vV+Xypgi176X8SyQS4fTp08zNzX0qx//MJBd4OUv/ddwo/VEsFrl16xYnJydcu3bNQ2C8zRmOJElsbGzw5MkTzp49y+Dg4BvJZr9qcqmiUar95H/8Vy7zo6c7cRyX05IplImHXCZ/RFfIFk3CmoLjgKEpCECWXUtlxwezqu62hBCUbYeY5oroe7txISFjI2TZhf+WS0RVUWGt1z4bxfdlFrLs7thtCSkURUjCZcOXCsRUx1s0ZdUHNRZyYNetGDUosBAiYIcs6RFkn0y/UIOQZT9KSQhBKeeDDMtKoEqwhUxYCiYL1apVK0KSEaUXVyLVkCuJwXEc7EIWx7ZQyhkcq4xsRFETbZRNJ+DXUi4EK4y0KQJJDSERli2EbRGy81j5E5RIwlVAFj7Rz7q2nKSFsPLu9Vm5FLpTREl2e+rR6XTttXS1tTDra0u1twahywtrFUMvB9qbEoz2d3Pp9ATXzp8mk8kRMnRWNrZwHLhx9xELqxsk4lEWq8+DAIfrzPiIp6QcDbs+Ou9MjVM2Tfb2jzydsb6uGlz29PgwRydpLkyN8e6F03z71j0ePpujo7WZH/3i877vlmV59/P3Mt5E+gX4VCuX+igWXXfOlymQvGl8ZmYurxIvUkZ+WaRSKe7evUsymWRqairwgb+tysU0TfL5PIVCgatXr34inPqrJBd/YvF/cb7+58/Q0xjmn3x3CQd3nhILaWTyZSTh6o4JIF+qTDeEuwCbNmiyTMmysB3XT6ZQsgDBSdEd8NqVlpkQrlVyVSZGyDLpku0uurZJSIac6ZA1qTHxFQ1DsilYbhsuoknkLBkhK5yUSlDxjpEdCw2TfAnXF8WXoEwkQlKZguPesnooQtmniFAu5JHCFVixZriWxRXIcv0gXw9HAhrE+VIZOeQbjhfL4BsKK6oSeLyu6QHHSy0cxcKtUJxygZAqI8wcJUnDqSpE506Qw7VjlvJZlFitXWrJOsL3eoSiYWUqREjHwcqfcFIqoEQbycsGcqVS0MpZSlINKaZGGnAcq5ZwHMdNxDmBHIpTxEVuq8lukk4qMHTv6WwllU67LpWGDo7DpbMTKLJMNBxm9+CI45M0mzt7HBynPYXk0b4uZldq7bOFldrsZXyo34MjNzU2BJwpTcviwtQ4khAYusp3bj+oXEebV9FIkvBmOZGwQWMiTntLkruPn3HpTM02+a/+5I+hqs8vZ98PGDK8GUKtVCpRLpc/teTyt/7W3+IrX/kKvb297O7u8o1vfIOTkxN+5md+5lM532cmubzKzuJ1K42NjQ2mp6cZHh6mv7//uXN8EsHJalRZ/QADAwOfmAD1ccmlOnS3bdv70tS/pn/3C8N0N4b45m8/JS+bFE0LRRGULcC2cZCQJQfbcShbEA1pZPIlSpZd8Ylxmf+SsKi23m1wrYkdGwcbSUgVAiYVFWXTNbNSdMqWCY6r02X5fEtyhaKHZMqW8VBhQqn5s9go2E4RoVUH/zJW7oRYJEQ6XyRrubMWhMASCk4hg6jYJUtGKCC/4597uDyQtOdzYkoaqlWkXOW01CG26nW/CmgIx6okVSgJ14ESx8ZxHBRDx8xnUCKNoGqUADN9iOJzpIyGanwdqLTbfEg1SQs958XiWGXM9AGKEUEOxV2OTTkXMA6z6sg9jpAxMwcuCCF7jB6KQLwF6iqacNsAY6FD14KhVKZYKrG2uUM6myOdzXFmbJjr92rD+jNjw57E/ehAT6DCUXyJuL+jlWUfOXJju+b/MjrQw8KqYLC7C1mW+PDRNIWKR8tQX40G0N3R5hElz50a4yiVZqS/l73DI/7w+m3AtWmueskossxP/fgPUS6Xve9EdWH/fiaXNxGtBD41EuX6+jp/+S//Zfb392lpaeHq1avcuHGDvr6+T+V8n5nk8irxqm0xv3bXuXPnPhLL/UnbYgcHB9y/f5+Ojg7y+fxbKb0/Krn4k0r1cR91vj97uouepjD/4T+7SyltEdYVUjl3yC2Eg2WDrsqYlu21z0zLIV90+TKZopsgZElg2T7NtMrsxbQdqKDJqnOaalhOpXVU4cjIuLpehm5QLJuerH9EtslWhM38E4EimkeiFJqOrkDOUZEN1dMIUxQJFYeMWcTJmYAgGjbIZI5dcUlJQgm5/vZOtfUkBW/1Qt5HsBTCRaTJCgo25XIJq5hFklXCuko2X8S2Skh6BNUIY0sKOBZyxG2vmoAoBAfw9crMOVsBfLbPqoGTSwX0yRzbRjILlHJZhGogx5qQHQvbZ2kQVkVApsZSQm5yrkrVWGUX8l0uuTOYyuPMfDpgLGYrBrM7ac/xcWKoL1DF6HoNqNCSDFYcSR/k2JXJr81AdK32vO62Znb2Dxkf7CESDpPOZNndO2R375Br75z2EsvoQK+XrBRZ5uncEiFd5/TEMJIksbS2wdLaBlcvnPaqoqmxYW49eMLls5OcmxyjvaUZ27YD32dJkjBN849Ncslk3HbtpzVz+ef//J9/Ksf9qPhjN3N5WTIolUp8+OGHHBwccPXq1Y8lCX2S5LK6usrdu3cZHR31DIXehjTNi6qpahvsVRJLNU51NvI//tznGGmPY1oQ01UUCTRZImaolEwbTZZQZRemXLZsLAdPuh/cxAIQM1QENSHMKiLMcVxRy2hI84bijlBqQ3pJBtvCkTVKjiCiygiziCZs0oXaTlquqCNTObZTrg2VTUnzDfYlMItYyBRQUKJJlFAUORwnjwayjKTpLkxaSJj5E1cI0yq7/JpCGrtUwC4V3FkKZRyzhGOZGJGoq/8lKRXkWchFo8kVBJcecZFfla+MrNebisUCZE85HA+QIYWseLOPati2hcDBcIoYliuk6cgqciyJZIQRQkJ3ghVHzlaDpFIhsEt5rEIG3crhCIHW0P6c/bKkPT/YP7JrbblYtPZ6ouGQV6WAK3FfnWEpssxTnwLycH+vd18amspxOsuFqTGuXTjNYF83pmnybHGVvYNDD44sBMz7YMuNiVqCvXx+irFBF2yzubPHjUpLLWToPK5UKpqqoGsaLclGbj14wr/z1T+HpmneP7li7W3bNoVCwUsy/u/Qpx1vMtCvwpC/H8nw04g/Vq/iZTOXdDrN9evXURTFY/Z/XLxJcqnycebm5njnnXfo6ekB3t78pr5y8ScWf7n/KtEQMfjv/4+f53Jf3PX9UCSEJJEplglpMgXTFbcM6WqNwQ+AcPvyikvIzBRNwrqbTNyHOb7HyWRLNoYquQZfjh1Ywyyf1HzWAhSNkuPCe6u8DMe2iGk+AICie4uZhUAXtWpVM8K+ob/A8i3gkhHzHDIBd5aDBLKKUF3TKEkz3H9GhFI+7/JtZAVTaOiOT4ssFEXxDfplI4rkQ7OhGjh+LTFFRRSD7Hu/0oB7gRXyZjHnaoM5gFmkgEZBCiO0MIoZhDrnbSkIl5cUrJwL1xWOjZk+AMltqxXlkEcudcxgJSXpIczK87zBflM3QgthaFqAKzI5OljTGXNgw2dtfGZimFQ6A45DW1MSVZa4fGaC4Z52zowNsnNwyN3Hz7g/PcOdR09dXhTQ5tvk/f/be/Mwuco67f9zltq6el/p7CvZk04nARIUDCIStgTUGZ0ZRERH5xVm1MFxxlF0xpkBhRFfXl8Qh/mJDvqKkrDLohDWgJBeks6+753el1rP+vz+OHVOV2XtvSuk7uviukinU/XUcs79PN/v/b3vGZPH05aKMg4G/HR09bBiyULGVZXT3RPhT41biCUSTKzukxwvmjuTgN/PiiULqV0wl9fereN4WwdXXLqMOTOc7BdZllEUBb/fTzAYRNM09uzZw7hx47zryDRNDMMYcaIZTM8lGo0SDodHXXwwUjjnymKny70/fvw4TU1NTJ06lenTp49ID8f1OzMM4yTZ9HD0b8C5QNzeCuBdBAPVzLtobm7mkxOTTC6q4smtXSR1MzVs6QxVmpZNQrdS4WNOiSngkzFNC58iIWwJ03byWpznF4hUM8aRKFsgySRMgSKrSMI53gQUxzIGxYeCiYXilKuEgUEq8VKWvQG/nqQGlkl+XpCYBaqtY6XSIZOmRSp3CxMFW4uipHotvmAIM03YYOsJRwwAKMHwCRP6+X2uz4AtZU7Lx+MJr1QGjhw4mnZfD6onhIoF1Yw+it8fIF0s7MsvdEqZegJhaoQCfhKxLtS8Yu91G5F21Py+QcukeUIFzxdESvRCsK/JWxAKYhpRDCXYN8CZ6IFQX7lKyS/OEDEgBMLUMOM9KHmFJHFOob6KKcwvw7PFBxzywDmlzLtwKoZhsWzRXFRFIRjwMXPyBI4cb6W0uIA3Ur5fADPTSoEL58zkT6meTUF+mM3b+6b8w3l5TJ04jtLiQiQEG5t2sufgYcZXlXuN/FAw4LkcT588AVmS6Y1E2VC3mTkz+ibKb7/lzzkVuru7aWhoYNq0aUyePBnbtjM2aieWz9z/hguDKYt9kFIoIcvIpW+I79Q4Vc8lPZly4cKFVFVVneZfn/rx+ksukUiE+vp6CgsLqa2tPck8czhPLuAo0Nyj/WCIRQjB3r17OXz4MDU1NXy0rIzlc5r512e30BUz8CsqftXJdCkK++iMafgUGUmW0AyHbOK6BQJCfjWlMEsFgMkyqiShWzZBnw/NdOSelp1SKckqSd1w6h/CRkiSd0bWbQmklD2MP+g1ymVfANu2iFuOxb8PCV2LOZP0koydNmkeSFNvWZIPoUWRUmUqf14BVmomB06Q5soqZlrTXAkVeGICcGzyRZppZsTMTLiMWwpC6rOeSQg/wu67gety0DlV2E4EdX5+PpatoQXDQNixzk+0k4706XlwTkhmIjPDxTQNFD3h+ImpfhKBMLJIZkiQQ6G8DKJDUggrOgmhECSJiYIoqsCPmUGAwcrJ5AXbuWjRXEzLJOQPcKyljaL8MD2RKEG/n03btgKOFX5be5d3jQbTBjtnTJmQMV2fbtE/b+ZUNm7azoLZMyguLGDfocMcPd7G/sPHmDJhnPd7ZSVFXt7L9InVKIpCLJEknBdiQ52jJJs9fQrb9+xHVRQ+/pHlfGhZDSfCdeCYMWMGkyY5Q5XudZXuYO4SjRDCu6+41YGBVglOxGB7Lh+kk8s5XRYzDIP6+nqOHz/O8uXLB0Qs0H9yaW1t5d1332XcuHHU1NSc0pV5uE4u7hdL13VvhmWgXzbLsmhqauL48eMsW7bMs3a4fHY1v7ztUiaXh/H7ZRKaSTjooyuuUxjyY9iOWzKQFpEMCcMk5Fc8e3+BhCw7J4WkYaHKkjNMKcmo7uCl4szSSIoPS1Io8EmEfTg3fe+GLxFS015bml9YEpVQMOiUowJ5hAMqwjKwtDiGYZAvGYQkA1tPZsyDWCgZ5pBKKD+z/yBlXvBhf9/zS7KCncgsdVnx3rR/6iNgawhTx2drWIlezEgHZqwL2UgghOVIqsPFyOES4sJHPJ5ZnvIVFGf0TORAOOM5nBfhvD9O+aw9ZaWjIodLnKFIIChnbsIS+DIiB4Sp09Pdg6kniBNARwUk4pET+j7IbNjTznubtlK/ZSe2sNl/5Bg9kSjhE3svkyZ4xFIQDnk9FIDykr5T0/TJE9i97xBTJlRzcc08EOD3qzTt2I1pmhxNSZjnz5rOgSOOO0BBfphd+48wffIELlo0l65IlE079rDn4BF6evvWXJAfZnntAkqKC/nz66466dro7OykoaGBCy+80COWU0GWZXw+n+fn5fP5PDJwy2e6rmOa5qCu68H2XD4oQWGQZSeXsyGdDKLRKA0NDYRCoUEnU57ttOE6Gu/du5cFCxacMftgIJP1Z3o+cNQiGzZsoKysjMrKSsrLy/v9+jRNo7GxEVmWueiii07KpRlfmscTf/Mh7vxtA2/ubEU3bIrz/HTFNPL8Tu6L36egm065K6hKTuksFTTmmmBqpu2pyZzgMSgIqvTGNcfbComgXyVpOqeUnoSOrPiQJBlFlTGMJIFAgJgB4CjPZF8An21gpNRRyaSOHHB29gnhmJQpqT/HtTi2Pw/Z70P4HDmz3+dD05PYpoGI9aAoMoXhEF3dPamhQce9mmTEa8xHbYtQUMa2LXTdwBYWQTNOIlV+FaaJFO9GVnxYkoRhaKh5IQxw5lakKEoo7MiycUpvri8bgJxXlHHqEpKKSHYh5RV7n4mUMuF3hi6ddM2AlUDzh/pONsluCPbdwGP4MqIJAIShYQlHUh6XVHzFlZixLvD3Ne7V/JIM2bVfGBj5pRht+/EpSsbU/YJZ0z2TSkmSMprw46vKPT+yUDDAtt37mTllImUlxYRDQbq6ezlw+BjhUIitadb46WIA9ztdVlxI7YI57Dt0hL0HD1NYMNsjoBmTJ7Ln4GGKCsJMrq5i2659xBJJLpw6kcsvXpzx3e7o6GDTpk3MmjVrQJ5c6SUx9yTjKjMHe6oZTDRIuq/YBwFZRS79ndDvbzbK2XCmk4tlWWzZsoWurq5+xR0PVdbsfqGFECxfvpxoNEpbWxsHDx5k69atFBcXU1FRQWVlJaFQ6JSPEYlEaGxspKSkhLlz5572AlAUhfs/s5T/eXsfD7++m6RhEfSpqIqMIjuWLoFUXHLScHzGhGlj2U7Wi7CdspOrJnPef5uoZjnEIqyUhYxMQJWc4U2lz+jSwkdhno+oIcA2sS0DSVZRfD4URcZwH9cf6usbSDIi5S8GgD/oPZ4kOWFnpuxIluWAcCxgfEF6TVADYUSagaQ3nJhCMt6DnFeEHAohA5KtoYb7zCh96Oj4kHF8zhQz6fWDlFA+fqGhp+yUZV/ASYFMkYckSU48c1r5S6RP1KcECH4zgqkEIZSPHMonGetEyusjBVMOIqXNxUiyihltRy0oQxYWerQbSVaQVT8J/F7ETTAQyEiyRHJs/4VlgGmg5xXiK6rEKp1Azbh83t/c13tpTTXdARbNmUHjVqdvIgF5oRDLFs1FkWXCeUHefn+TEznc2o5pWSRS0ux0afKiubN4f5NTYquuKMevKiycPYMde/ezafsuLzAsPbZhfHUlpSVFNG7dSSCURyxl4/+pqy9nw4YN5OXlUVFRgaqq7Nu3jzlz5jBuXF+pbaA4XfnMvT7726sZ7JxLjlzGCLIsk0wmaWxsZP78+UO2LVAUBV3XT/p5Mpmkvr4eWZZZvnx5v1yTh3JySW80ujujwsJCCgsLmT59OolEgra2Ntra2ti9ezfhcJiKigoqKiooLCxEkiTa2tpoampiypQpJ0UVnA43XzqNJVNLuPPxBlp6k8Q0E58io5u2Y2EiyeT5ZeKa028J+hSShpX2WgU+VUZCwjCdwUxJkvCrPjTTORtoupNEJklyRiBVJOlk2kuqL3VxyilCMikMqvQmDFB9hH0S8dTbKgfzPI8zgYytRbzehO0Lec16196f1NCm8AWxk1Fkd+AylDmxL06w79e1JAT7TnymloS0uQ+/ZGf0N1RJZPQx8vLyMif4w0UpYpaxTZ28oI9oTwuyPw85EEbOKyYeaUcp6CuJCDWUEkc4n6PsD+K3YuhKnvedQQjsWCciWOg19oNWjCRpa1fzsBMR5JRbAckICCd4TUqLcfZXTSea6JtXmTllIrFEgvkXTiMcClGQH2LezCm0dnRSXlKSFjQmmDpxHMlUPsz8WdO9ifyqirIMu37DMLi4Zj5JXSMc6uujLFs01xMUzJo2mV37D7JkwVz8fh9vvteIbduMv6CSuqbtAFx+cS1/+8VbsCyLzs5ODh8+TFdXF7Is097u9GzKy8sHlCZ7OpzqVJNONu41f+KpZrDkkiuLjQFM02T//v2YpsmKFSvOepLoD0512nBVJuXl5cybN6/fTb3BNvTdL+iZGvehUIhJkyYxadIkDMOgo6OD1tZW6uvrURSFYDBIJBIZ1K5t7rgSnrr9cm7/1fs0HHR2jgFVIaKZhHwKcd2gMOSnN+EkW6qyRNCvkNBEqiTWN3uTp0okdAvdsgmoMpppp/ooNkLYBP0+EKBZwpmTsYy0oUpBzJSQ1AA9iWSqbCOIayaWmUCSHfmybJuIVI6JnJaCaUsyVryvEa6cSCDpE/uKit+IpvoQThPdSkZRUjdgEShApJWOhD8/47HiOMFn3p9tP8LWkVIqNU0KoFqa4yJgJFBlSEZ7UYOFjhUMPiQ55j0fOAaYGeW0QAgr2pmRLhnXTAIBDS0WQQ3loxaWE0YnJvpuYrocQEofHgXy/ArYCUdoEchHDUCeSBBPu/zlQB5Jipk2cRzdvRFKCgvYvf8Qx463Me6CCppb2ryy7aS079i8C6d7ZS+Ag0ePe/8/beI4CsJ5VJQV41NU3ny/ASEEBeE8T6IM0JFyQh5XVcGE6iraOnuoa9rORTXzvJv3+AsquaCinO7eCH/9l5/wbvqSJNHT08OCBQsIhUK0t7dz6NAhtm7dSlFREeXl5ZSXl1NQUDDkRnl/TzWSJHmCnIEgGo3myGW0EY/HaWho8HYFw0EscDK5HDt2jK1btzJz5kwmT548oC/HQMtirtw4PfehP8/n8/m8FDnTNNmyZQsdHR2oqsqOHTtoa2sbcJ/G71P42ecu4edv7uWRN/YQSxrk+RUM0yboU+lN6uQHfSR0C1MIokkzNZCX2lXLYNuChG6Tl1KWaabjTSZJUkpkJqNZzmxGUJVIJI00UXBKReamYqoBZ6hSVsEXRLZtL0FRVRQ0LYEiQ37QR2+0l0BePoaQM/oPSDJBkmgegWRavCRtBZm+15CRYCnLzoS+W0qTZFQziqU4xCUpPseWJXVaEMLGjHUjqz7CgQDRhIZh6aiF5Uj+MDqQX6Sip50olHAxwuwjJNkfdGxb0rJhXG81KxlFGEkkfwhFEqgFfZP2Cd2AtM/ZllTMSKpcZhvosR4sv3Pik/19l3tcqBlKN1nYNMcEyUPHKCnMp3FbXwRyRXEhx1I2LpXlpTRs7fu7jLLXnJm0dXZzUc08ZEniwJFjNLe2s+fAIWrmzfLIaf7sGbxTtxmABXNmEvL7CQWDxBIJXnnbsXcZV1VBXdN2ggE/i+fN5nBzK0eaW7ikdgEf+/DFALS0tLBlyxbmz5/viXmKioqYPn06mqbR3t5Oe3s7Bw4cQFEUysvLqaiooLS0dNii0k91qonFYsRiMVRVRdf1DDPYM21W4/F4riw2UjjVzTXdYmXy5Mm8+eabGR5SQ4FLCEIIdu3a5cl2BxP9ORC1WPrRGhiUa6thGDQ1NZFMJlmxYoV3ehlonyYdt354OhdNK+Ubj9dzrCuOLEvopkWe30m6tG07VRozQZKcxErLQpUVDNtESJIjX+YEWbkkE/LJJAwbG4mEYTtDh0KQ74NIwkCXZfyyhCGc9yKkyiRSXC37g5CiIgPHNFP48ojbjg9TwpIdm3wJrFgXBflhIrEEMdsmGEgV4yQFU4s5PQtZRvYHsRJ9ZTU1XIQsnHkchDNsqWKiaxrCtjFMHT8RTMMgLxRAygsQT0aRfH4kxedk1qt+kpKMmp/nkJVl4crndCmQcbKSZIWgSGaUsCTF+X9hW9jJCFgmJHtQgoWQKuklol0o4bTUSn8YK9bjpWG65TIz0oESLnZSLAEl2Ztp6i/7sCLtyKECZC2GFQjjK6nGirQze1KRV9oK+H0ZPmIzJk2gNWXDX1VeQiye4JLaBZimhWVbHGtp5VhLK5fULqC51SlRTRpfTWOKkFRFYd/BIyyacyE+VSWeTPLedqcPs2TBXA6kHJSnT57AlAnVbN21D8M0vcCyu/7ui0iSxPHjx9m6dSsLFy485fUaCAS8sC3btunu7vbKyolEgpKSEu9UMxw3dJc0NE2jqamJcePGUV5enuEHCGcWBcRisQErXrMZWUUu6RBCcPDgQXbv3s2cOXOYMGGCZ9c9GCXGqeAKBOrr672448F+0QZilX+2MtjZkEgkaGhoIBgMctFFF3nvxYl9mvb2dlpbW0/bpzkV5o0v4Zm/W8mdv6nnnb1tBFQZ23bUYCG/QkJ3vMp003aG8BQn3RIk8oMq0URf98GnyBiWwK/KJI100kn9guQYaroGkbplgDApDAWIJCWEcHbWQpLxCR2D1C45reSTtB1rftkfQvIFkeWUF1nKIVmLpxFInuJsTLwei0izlsFxUs4rBklGCuRhJ3uRU+mPCvn47SS2Px93jDcUSJKU+pyY/UYcXU2lXioqqtaDqfbt7H1KygTUXTuqZ16pWBr5IR+m2UtCykNJDUSa0c6Mi1QOF2d6iYEzS2RqoMUQagC1sJyAFSeZ9j5ZgYJM1ZqeQFi2E5yWV+ydIP3VM9l9qNH7d9MnVrNtz4GUG3EZiiJzUc08Ort7qCwrYUPqBDJjygRPTSZJEofSymMXVJRx7Hgrcy+cRmV5GRsbt7Jp2y7mzZruDU1OnlBNXdN25l44jYqSYt6p34xumMyYMpGNm7dTWlLETVevZNmiuTQ3N7N9+3YWLVp02mDBdMiyTGlpKaWlpcyaNYt4PO6danbv3k0wGKSiooLy8nJKSkoGPd8Sj8epq6ujqqoqQ2jU3wHOXEN/FJCePb9s2TKKi4sBMnTow0Euuq4TiUTw+/1ccsklg5Izu+hPz+VUjfuBoru7m02bNnlf4NNdCKFQiIkTJzJx4kSvT9PW1ub1acrLy6msrKS0tPSkx1AVmR//5VKerj/MfS9tozumEfb76E1qFIUD9MS0VEaMAames0iVy+RUuqVt25i2oCDkc3zEUilkeX6FZCo6OWHYaDbeqUZSfIRViOg2yJAnScS0hHPCTDkXSKkAMjtdgZU2eGsrQdDjkPo7Jd2GXVYJ2QmSbqksrwg7GfNu1MIfBrtvSFL2BzPIIJ7UkUN9pwbdMMHf92fZ58tw4RT+cEYfxfYXOL5mvgBCi5Hnk+ntbkcJlyD8QSKAlYyhhPt6KGq4BJ8wPXm2JElItg44pyMr0YOEjF8BI1zikYQpKRmuy44HWRxhGeQH/cRVP76iCsxIe1/5D8dQs2D8LMaVNqMbBn6/n6LCfLp6epk1fTJvpibyC8J5NLf0DYQWF/YNfS5ZMIeNm7dRkB9m9rTJ2LYgEHAm7qsruunuzQw0K8gPpxIkJbbt2seSBXOc9xaoLCulrKSEHXv3879u/hTHjh1jx44dLFq0aNDRvHl5eV4P0zRNOjs7aW9vZ+vWrZimSWlpqXeq6W+KbCKRoK6ujsrKypMUrOm9GncDeqoBzmPHjo16YuZIIqvIRZIkksmkl29/Yva8e0Mejkn49vZ2du7ciaIoLFmyZMhltrOVxfrTuD8bjh8/7kUInGlA7ESk92ls26arq4u2tja2b9+OYRiUlZV5p5p0gl1dO5EVM8r4+m/q2NUSJez3E0s6tjEJw0rNuQiEkPCrMlbK/BIE4YCPmGYSSRrIkuQZYsZTOTECx/QSSSKugZSKtIzqfb2auC0TCIYwbMdQ09Zj3s2yOBwkYjilMjmQl9FPcds8zosPYSX6mvVJWwGpb+o+fYLfyVDpRMl3muim7EfWY9g+h3yUvEKsNOWV7c/HTvb9OYkPK9HrWOMDlqTiMyLowvFdswwDS9fxFZQiB8IkASVopsp+DuRwSUrZlmrsShKJSI/XZxG2hWXZFNpx4vg9ybRiJzDS3anlAHl2ggRBxxzTTmKG8xFCIoHPc7L2FZRim5rT5wJkPUaLZnNg31HmTq3OUHsdTrPST++bjKssp37LDmRZYsbkSRSEw8yaPoVd+w6hKIpXYru4Zh7vNTolsDkzpzrX3oK5RGNx/vDmewDMnDqJuqbtzJo+hQkXVLH+3Tps2+Yf/+YWZGGyY+dOampqvMC/oUJVVSorK6msrHQ2SKkRAJfE8vPzPaIpKio65XWbSCTYuHEjFRUVZx2NcIkmvVdj2zZvvvkmDQ0NXHHFFcPyurIBWUUu3d3d/OlPf6KiouK0Si1VVQeVRukivdw2efJkjh49OmxW+acivcE27k98jH379nHo0CEWLFgwqJ5Q+jrLysooKytj1qxZRKNRWltbOXToENu2bfP6NBUVFc4MQWEe//PXH+anr+7iF2/vQZKdyXtSO8ugXyWh6U4ysCRREPARSerENMMbsnQlygLwyc7QZdKEcChAXDMRwqIwqNKTMJxZDdvARkWSJOf37VSt2hcAyXG87TXAMhIEfH5sWyeg2CSSUZAVZ6YmjWwyoPozclOUvCJULMyUy5jk75M7Oy/TJF0nEA5k+onZpu7MxggLU0s4pwNTpyCcR1QzMG0b1X2uACi2hUj7niihAsxY39yNJElYqcf0PrNgPnKiB900UUKO7DgS6UBJy4tJSI7cOl2BFo0nkOwYcjCfhOoQWFAkMEkbvETGSkSR5DiBQABTDaGoIQIT5hCNHfN+b/6F09iSMrf0qSq79h3E71OZNmkCE8dVUV5Wwp79hwkFg7y6wWnKl5UUU79lR+p7J3GkuZWZUydRVlJENJ5kcyq6eOGcmd5rnzTuAmRFYd/Bo8TiSWzbZvaMKaz+6Ap27tzJ4sWLKSnpU9ANJyRJoqCggIKCAqZNm4au63R0dNDe3u4JilyiKSsrw+fzkUwmqauro7y8nFmzZg342pZlmT/96U985jOf4YEHHuDLX/7yiLy2sUBWkUswGGTmzJlMmDDhtB/SUIYVXUfj1tZWli5diqqqHDp06Oz/sB84k1X+UBr3lmWxbds2uru7Wbp06bCm1KVfTNOnTyeZTNLW1nbKPs2XVs5k1YJqvv54HYc74yiSjG5byKaFLSRCAR+xpE4kqRPyq2iG5Xh84eixAqm+i19VMW0DIUjNzzjN7Z6EY5ophA2ySlABzYSYIZxSlaIiKT7yZIt4KgdGEhIGMihBLCGQVd0zrZRMDUwJyzTw+2RCaBi2TTyhIYTlZM1LEqFAgHikG1+oAFVVsFUZPdbllK6EAElG0XodWbWwiQpBYb7Ath3HZ1sNpIYqgyiBfGR/GNlKkpCDfemWiR4IphSOsoKU7AW12PscAoFARtKlml/qTNbbFsgqaqgQPRHJUInJ4WJsPemdeiRJQpgGCBsr1u2c6PKKCYskcalPNJCUQ1jxHud0JWzMWBeS4kfCGdR04SsZx5HdfddGLBanuqKUovwwJcWFtLR30d0Toa2zi32HjqDpzgkwluij3gunTuSd+iZmTp3IlAnj2LH3ILsPHCacF/Ls8+fPms7x1nZWLF2EhMQrGzYCsGLJQto6uliycC5f/NS1HD50kNraWq9EPhrw+/1UV1dTXV2Nbdv09PTQ3t7O/v372bJlCwUFBcTjca+XM5hN6vvvv88nPvEJ/u3f/o0vf/nLHxhfMcgycnH7BGfCYMnFtUWxLIvly5cTCoWIx+PDUmKDPjdjt+w1FKt8F7qus2nTJoQQXHTRRf0a5hwKgsHgafs0sixTUVHBw5+ez6/rW3j8TweQUxP8Qb/Tf5EVmZCqENMMJIQz6e/3kdBMrywW000kJPL8Cqbl5ChqptMbUCWBKRwzFEWWEVj4JBvNMp3TgayQsCRvWFL2B7GMhJNwmTLJ9OAPYxtJlGAYC4hoMSR/HkrYuYG6CisdUMIl2LbpKNFkhWA4H0Oo3ulFO2GiPxLrQk7Nn8gKhEh67smSJBGURaZbcjCYMWQphQqx0+ZkLDUPEevA7/ejKjKG5CcYdGz4XSjhYmwj6aV5SrLiyKX9Qed7l+gF2yYgNJLpszGWgkgLKQOntGZG2vGHC530TEDSY94JE5zC5QUzF1BhtBAO+nm3vgnTsmhp76K0uJC2zm4AqitKaU/9f83cC2nctivlpjwNSZaorizj0NFmItG4F0zWE4kiyxIL51xIwO+jvbuXnqbtlBQ5J7yFc2YSiSfYfegon/j45ZSGfSxevHhUieVEyLJMSUkJJSUlzJw5k+7ubhobG1FVlfb2dt5++23vVFNaWtqv3klDQwNr1qzh29/+NnfccccHilggy8ilP+hvGmU6ent7qa+vp7i4mAULFngfvKIoGYQw1HUBHpkMtXEfjUZpbGyksLCQefPmjXqj70x9mrmyxt8uUvjNHpWDPTq27RCMIksYhoUvpTCzbBvDtACBYUJewEdcM1LSYNAtkdGMNwWosoRpC6f3IgSmpKD4FWRMbASWaTrmkKqKoqgEAn6SKU4RvmBfOUySvAAyACkQzmjeB/PCGO5cjaw4vZLUqceQTiidhYuxtZhnGimFCjNu9BHbhzD7ynAJKYRsadgpixhdCmDF+h7PtgVGpB1ZUVF9PmwlgI2MoYY9qxZDCiHSVGGSrBISGumBE3n5BQRJELMVrFSfxzYTmVe16idoRNDIJ4gBtkEyr5CwZBATaYTjDyOinRAswG8nSNoKPf4QbR020/J6MFObsKWL5npW+qUlRezc55xuyooLUSSYM30KB440EwoGvJ7M8tqFXt9lxZJFCAQ90TiBgN97rKULF2JaFoFgAIFE0849TKyu5IYP11JbW0tRUZ+v2lhD0zS2bt1KRUUFc+fO9a6P9vZ2duzYga7rGaKAU40BNDU1ccMNN3DnnXfy93//9x84YoFzlFwGctpwc16mTZvGtGnTMj7EdPXZUMnF/ffu2oZCLB0dHWzevJmJEyf2O5tmJOH2aUpKSjAMg87OThbOHM/kyh6e39bJq4dNYobAUSQ73mOWLcgP+InqBn6fim5YxDVn2l8IQcSVLEvOKSaeilh27GMkdNN2ZMKp1+5TVDRLIKs+hKx4wWW2LShQLHriSafM5ZNIplRSciAfv2ShpybY06f0DUlFJHuRgu5Ef6HjRuw2WBQfbsSAJEnk+RTvxi7JCla8O/MUkexKG7qU0ONR1HwfAcmRCRvCxIh0EAoXoEuqc2KQZUTKPVrxBTI8zyRZxjKSGZLjhBREindjmgayP4weCBFPG+YEMNRQhihBWAaxeIJQCJJqnucKnRAKwjQ8GbgwdSzTRNYT6MGw1/PxV05l1+53nbdEkT2J8ZQJ1Vw4bTJdPREOHjnm2LOkZlkqSop4f7PTuM/Pz6Ots4vlSxbS3RNl1/5DtHd1U1QQZseeA4yrKufCaVNo3L6H7t4IF9fMo7Wji8VzL+QTH72ED106PG4cwwVN06irq6OoqIi5c+ciSZKnvnT7LrFYjPb2dlpaWti5c6fnf9bb28v8+fPZu3cv119/Pbfffjvf+ta3xvz6HilkFbn0500+WxqlCzfPZP/+/afNeUknhKHIkKFv7ZqmEQqFBk0shw8fZteuXUM24BtuGIbBpk2bsCyLSy65xCvR1dQk+YvDx/i33+9kS0sSVZbRgMKQH920CPlUDNPC73M+t0giNZkvSQR8CkndJK5bFIT8RBI6ttVHAPl5fizTQjNtNEvqM6qUZfIUQdx0TCAjhuHIkiUJDWeGA1lBWCa2LPDJMj5VISY7FjG+UBhLSAhZTeXFSE45zNZIpprdSjCccdpIykFUW8eUndONL1yMKnQnB95yvNf8ZoR4QnPW6A+CkUTzhUDJg3AeAT2KITmR0ZIvgKr3Yih9PTR/IJAx6Kjmlzr9E9sCyfEo000TtaBvtkMtKOvroaQg+QIE7CSxWNQRABSWI5npMWfOJL+VbEf2BcnzScQlH2pROaoRy+j/SAgKJs5istpLZUkhLe0dRGJxdN1g/YaNGKYjPw+kZbtMHF9NIOinoqQYYdts2rmfPQeOUjv/Qtq7upFlmaWL5tHe2UPTzj0UFhbS3Rth7sxp6KbFgaMt/NW1c/iLT9wwrD3GocKNUHerCae6viVJIj8/n/z8fKZMmeJtxtra2rj11ls5duwYtm1z5ZVX8pWvfOUDSywAkjhTOtcYQNO0M/59Y2MjRUVFTJ069bS/Y5omTU1N9Pb2Ultbe8Yv6EsvvcSHP/zhISXAuaW1t99+G13XvRmSsrKyfs/juC4Bzc3NLFq0aMQUMYOBO7QZCoVYuHDhaUt07+5q5t+e3czhzgRCCHTLRpFkR0acEjv4VAW/KhNN6iCEYw+vmdi2wBUQS2kWl7LknE6wHX8yJFc8IZCxPet8ydKwUzd+Pxaa6CP3jHKYZJJ0TzKWiRXvIRguQNN0EDY+WeD3BzxZquvIHAz6SUS6kYMFSIrPIZBEFyJY7L1+Ve/F9Pd911TthD+bCcf5OAVJWNi2RbocLWBGMUwbQ9PwhfLQkwnU/L7vgttfSScTM96DGirESkZTg5J5+NCxApk7fjPa6ZyYhMCKdQPCKcv5Mr/7eSJJUqjkySYRw7G7saPtBDv30JHqryxbNM9zOL5k8QI2bt7G7BlTqCovZc/BIxw6epypE8dz8Ohxx3iyqhwkZz4GJHbsdwYul9cuwBKC3kgcJNh/+BgfWjyXn939raw6sei6zsaNGykoKGD+/PmDIoVdu3Zx5ZVXMm3aNGzbpqGhgWXLlvHf//3fzJs3bwRWPbbIOnJxQ7JOh6amJk9VdiokEgnq6+tRVZXFixef1Rn1j3/8IxdffPGgd0jpjXvAs2BpbW0lmUxSWlpKZWUlFRUVp12LS4aJRIKampqsijrt6emhsbGRqqqqfitifvLydp7YeICumFOqsm0b03IGJ3XTxrIFxWE/kaSBaVpeRozbfwn4FEI+me64m+Pe933I98tEkiYIG0nYBHyORb8QYNnCG1gMSBZaikRsPYGkBry1i2QEyZXsWjqgeD5eZiqG2EVQJEhIKXdlIbCTEZRUKU3YNkJP9JWuhI0Pyxt4dPNZ0uXBJ3qSGd0tSKpKXjBAIhX2KftD3usACNgJtDQll99Ookspy38riWzpYFvo/rSbsbCQbRNb8Wf8Ox8WCVv2iFgVJoYtvGxlW084TgWqPyMNE0Br3o3espcZUyay9+ARpk4cT3VFGUldZ8feAySSGlMnjmPfoaMAzJ05jbaObqZPnYiuG9Rv3UnA76ekMB/NMJh0QQUHmtvpjcW5aKEzOGmaJo8/8K9UlA9uQHIk4J5YwuEw8+fPH1QJ/cCBA6xatYrrr7+eBx54AFmWOX78OC+88AJr1qzJqs3kcOGcI5ft27cjSRKzZ88+6e/ceNOqqirmzJnTry/B+vXrB61EOdvEfSwWo7W1lba2Nnp7eykqKvKIxiUQd2jU7/ezcOHCIZfnhhOujb+bQz6Q3VpPTOOupxp5Z3cbpmVj2ja64ciyA6pE0nSED6oMhtl3aikIqkQSBuCIBCQhSOhmBgGpMpip6pmChYWMDNhGHMt21pgf8hMz+qxe7ESf5b4zJe/zBjJDwhk2JPX4zvR/Xup3E8g+v+cybMd7kdMjiE/oeZiRDtSCvj8HRYIkQRTbQE/EsPQEkqwQyMvDlFOuy7rmhaIBWL3tKGmyY/QYwhd0YgtSirBodwdKXpFHbLaRRELyjDCBVK5MkSNrFs4QqE+PYgYyScOIdCDJKkGf4rgqSzI+DHTLsbHBtkCLIvkCVKtxKn0GW3btpbs3wvLaBV6z/pLaBbxb30RFaQkLZs/keEcn23bv55La+bxbvwVJkvjoiqV09sbYte8QZaVFGIbJpHGVbNqxn+KCMD/8+ueYc+GMjGtkLOESS15eHgsWLBgUsRw9epSrrrqKq666ioceemjI/d1zBeccuezatQvDME46Rh45coTt27cza9asAU2vv/HGG8ybN2/AVhIDtXJxZ0ja2tro7OwkHA5TWFhIa2srlZWV/SbD0cLhw4fZvXs38+bNG5KZ3pbDnXzv6UaOdMadlEvFyYeRhEBVQLNshICwXyamOdP5zqClkxfjIqBIzqwJZJxkJPpyZIQQBBTQUo0LW4sjqX6EbVEYUBHCIpbQHBcB0yCQX+AEkwmBRN/uPb3XAmCkXIZdBO0EybTTTMBOkjSciGNhmeQHFcdjTZKRVB95PhktTVacLyWJiD5Zud+Moit9nlKSMLFMC1l1TxcGia5WJJ9zmpAUH7aecAZK07zLzF5nnW7pTJg6AZ+CFchUWpkxpzwmCRsj2gWKj7BPJilnqprySCKEQBMKltfiFyQPbsbqbWPqxPEcOtaMZdlMmzSe8RdU0dLRSUdXL6Zl0ROJMv6CCoKBAFXlZSBJvFPvqMOuuHQZ3b1REkmNhKZRUVLE3X//RYrzHdv8zs5OQqGQ5/lVXFw86teHYRjU1dURCoUGTSzNzc1cffXVfOhDH+KRRx75QNm7nA1ZRy6GYZzRRmXv3r3EYjEWLlwIOKqsnTt3cuzYMWpqagZMEm+//TYzZ86ksrKyX7+f7nI6WEWYYRjs3buXI0eOAM4QnetePBYXUTqEEOzevdt7P4drtuDpjQd46LXddEaSRDWD/KBKT0zHr8rYCAzDwq9InjxZliXy/Cq2EMQ1R6DrGGOm/t/v+JEFVBlNN7BSrloBBZKG7XmZCatPEWUloygpObEsbCzTRFJ9CNsZPAzmF6DpOn5VwS9baCZYhollufUqlWDATyIWR/b5HWdnRSUgNDQpzak43oOc1hNBjyHUoHdSEpaBLWyPPAAn1lgOghAoloYV68JERQ2FQQ0gTAMhTE+hBg6ZZJxwklHQY9i+sHcSEqaBsIyMJEwr1k1+SCUh/H2pmEKg2hqmHMCHSSLSgxIqwC+SXkAZOPYwhmGgRlu4aGY1sXiCfYeOMnHcBd40/uL5szl0tJmZ06dg6Ab1W3dRWV6CKqtMmlBNKBjktT81MHfmVGxhE40n+c39dzFzSt+Mm+v51dbWRnt7O7ZtezZFZWVlwxIEdia4xBIMBlm4cOGgrsmWlhauueYaamtr+cUvfjEsfojnEs45cjlw4ACdnZ3U1tZiGAaNjY1omkZtbe2gjtHvvvsukydP7leq5anS5wZj5XLgwAH279/P/PnzKS8vp7Oz0yuf2bbtEU1ZWdmo7nRcw9De3l4WL1487A6tQgh+tn4n/+/dfcQ0C003UFXnxCJhg3D6LZphosqOHBkE+QEfUc3ps3g+ZcItpTkFs/ygU77pjTuNeRQfkiQR9knEjL6MetIyVIJC99RhIDICw2wtjuQOZwJ2rAs5rRfjnhK8P0fbUfP7/nxiM9/sbctQeRm9raiFFajCIBntdbzRVD++cCFCSs1fxXs9K33ACTjzpX0mQpBnxxGAjoopqajCxEbyhA4AihEDNYCkxzBsCQJhZ2hSCXhlQyEEVrQDv6pg+fMzvtdmpANV9REIBknafScY7fhezM6jLF0wh41N2ykrLmTB3Fl0dveydfd+Lq6Zyzv1W5g1fQrlpSXUbd3F3BmT8fn8CEkiEoszqbKMe7/5N1xQeXp3YyEEvb29HtFEo1EvCKyiooJwODysqivDMKivr8fv97No0aJBEUt7ezvXXHMNc+bM4de//nVWlbtHC+ccuRw5coTm5mbmzJlDfX094XCYRYsWDXpX8P7771NdXc2ECRPO+HsnWrkM5gtn2zbbt2+no6ODmpqak9QwQgh6enoyBAHpppIjuVtLdwOoqakZ0ecyTIv7XtjC8w1H0AyTqGYQ9ClopoUsORkyiiIT8qXKSwjPJNMtiUmS5FjK6I5wVpHAdL/KwjHF9KsKhq5j2zbhUADLthG26Vn3CyGchnxqVy8bCay0xr8ZSQvvEgK/raG7fRLTQJEdSS84vRnV58d2ezN6AkX1ISQFSdiotgaWSSKRQEjOUKRflbH8fc1+v96L7ktTl9k6hlAymvtmT4tDeJKEkleIretIqpoRlOb2gYRtYcV7UGVHxk1eZtPYjHSg5hU60/2qD9mfhyp0Z15J8aEg8AuNhAk+TDTJeW8ky8DW4ghfkIDQmVPiCD+i8QSd3b3EEkkWzZlJOC+Pw8dbqSov40hLG3NmTGPzrn1MrK5CQjB/2gT+9atfIBwe2KYwmUzS3t7ulZgDgYBHNEOxzAfn/tPQ0IDP5xs0sXR1dXHdddcxefJkfvvb3474KStbkXXkYprmGedYmpub2bNnD5qmMWnSJGbOnDmkXYtrOjd58uTT/s5wWOW7cyKmaVJTU3NWK28hBLFYzCOaSCTiCQL6G/7VX7hJn/n5+cyfP3/UTktxzeA/X9jKH7ceI5p0LGMSuokiyxiW4/5bEPJhmRZxQ+CmobjmlwCFQRVbQCzplJrck0ZfDyc1PJmmJMuXLaKagWWZhHwymqan7Gkk8gIyqi/g9GYsC4FAVnwoiowejyD7QoAgFPCjGHGSloRhpAZF41FndgaQVRXFNrD8Bd5wpar3YqSdZgJCRxNyXz6NsLGTcU94AGB0HUdSFIJ+P7qQnfkdRIYpZ/opSlgmqpUkGXWclNNJx3BJRwjseA+qIpEX8BMTmbtqM9qJX5Gx1KDXh4IU2coSUrDAyxBVhYkWiyBpEaaXhyjMz0NRFDbt2EssqfGRixfTFYkjhCA/HCYYCFCUF+BjS+dw3cevGLKlkWVZnmV+W1sbpmlSVlbmDTUO5PHdbCdVVVm0aNGgroOenh6uv/56qqqqWLdu3YhbNmUzzilyEUKwZcsWjh49ysKFC4dlyPBsczPpeQuDKYOBoxprbGwkHA5n2M8MBOmmkl1dXYTDYY9o8vPzB02wrkdSdXX1We3CRwqxpMF//r6JP2w9Sm/CRJYhqZmoqoywLKcPA4T8KgndsfAP+xUnJwa8EpkqS87NT4KEbqaqZs7rCcqCpOX+uo1kW44xGDhDiG75Sdgp+36H/ANCy0iLNCMnlsM6PX8uhEAxE1hqyHsep7RVlPb7mVHGZncLalHK5doy8RtRZEVBUX0kbQkLNePEBKAaUQw15L02RViIWCfIPmx/nvO6hI3P1jHS/p3P1vELg6gpewafAFa0AyVcBFoUy7KRggWomBi6juwPkSdbCNsiYcn4JEEiEUeSIBz0O/JpSSIgC+LRXvySTXVhgMJQgLygj0PNrUyeMJ623hjLF83iohnjqS7Np7a2dthvvOmW+e3t7fT29lJQUOCJAgoKCk77/R4OYolEIqxevZrCwkKeeeaZfmfBfFBxzpCL2w9oa2tDlmVWrlw5LM/X1NREKBRixowZGT8fjsY9QGdnJ5s3b2b8+PHMmDFjWG7ehmF4O7X29nZ8Pp8ncR6IIKClpYWtW7cOOB9mpKDpJg++up0XNh2hrTcBtpWa/bAJh/wYpoUiScSSrg2kRNDv2AE5HmbO5+aTJWd2QzinnXDAh2Za5KkKUU3HEhIBOeVtlmr8BxXb6ydYiQhyoK+Ob0Y7UTwCscFIemFktpZwBhFTjXErEUEN5HnSZZ+lOXMvbrlMiyOrMpauYRsa2BbBgA9d8nvy54ARQVP7ymWq0J3ETvcUImz07uNIsoIaCIEvz4lG1mMZsynCSCJbJoaWANWPEsxHmDrC0Ptk2VocW4+TnxcgIfWdhiVsZC3qZPeQIgHh9KX8Pj8Bn4xmmOi6Tl6KZHwyKMIkrtsUBFUMwyAcUJk96QL+8XNrkPUI8XicJUuWjEqpSNM0z3y1o6MDVVW98lm6uaRpmjQ0NCDLMjU1NYMillgsxk033YSqqjz33HMfqETJwSLryMWyrJOMKdMDxGbMmEFTU9Owheps27YNRVGYNWuW97PhaNyDo2/fsWMHs2fPZvz48cOy3hPhlgVcmbMQIsMh4HQXysGDB9m7dy/z58/vt1JuNCCEYM+ePfzyjZ3Udygc644jy45dv4RD+IZpoyoSlmWjKBKmZaPKEPT5+spjKaiSwLQdEhFCIKXMKhXASMZSN31HNBBPavj8PmRZxkjEkAJ5zjyNsLHNtFAvLQL+sHdyMHtanTRJ20SVwIh2IRQ/2E6gmiKcvBhfIIit+AhJBjHSJvWNBLak9jkXCxsr7cQjbMsZtlQU8sP5JIRDVna8J8OtGVNzTkuWgdAThMIFJDQdSfFlKNMwEhT4JTTLEQJ4/zzahT+Yh5GMI/lD3noUI0rQ7yNpgilkh7SNOJIs4/epYJvomobqC+BXJFxCv2zxLP7pczdSWpTPpk2bPOHNWPQg0s1X29vb0TSN0tJSysrKaG5uRlXVQRNLIpHgk5/8JKZp8vvf/z6rLGvGEllPLj09PdTX11NWVsa8efNIJBK88847fOxjHxuW59u5cyeWZTF37lxgeBr37g3yyJEjLFq0aNhS8/rzvD09PbS2ttLa2oqmaZSVlVFZWUl5eTl+v2MauXPnTlpaWqipqckqt1nbttmxYwft7e3U1taSn5/PO7taePCVrexu6SWeNAj4FAzLRpUlogndsbj3K8SShjtlCUCeXyGm9TX7BQJbOGRjWCk/MSG8iGXItIlB2CjCwJR8zo490YsSDCHs1Ik23p2aKQFJkp3ZF7mvHGbFur1ymRC2Y0qZZuNiptRiLlx1mYTAJ3RU23D+nexDS5GJX4+g+/pONLKwnJOI7EM24/gksCUwJb93kgLwCR0hJGw9gWGYKKH81EknjhIqTMUlR1BUH4osgSRjyT4CkoWuJbxpfiseIRQKYEkKpi3IUyCp68iygoKJjER1WQGrL1vCHX9+tecDuGnTJgzDoLa2NitUU24/s7W1lYMHD2KaJvn5+Z5wprCwsN+byWQyyac//Wl6e3t56aWXsup6GmtkNbk0NzezZcsWpk+fztSpU5EkiUQiweuvv87HP/7xYSkx7dmzh0QiwYIFC7wTi+uSPJjHtyyLLVu2EIlERkTO21+kX0BtbW2eIMAwDCzLYunSpcMqChgqLMti8+bNJBIJamtrT6pXH+uM8aOXmnh/bxvRpE5St7CFwK/IJHQDJWWE6VdlumOOP11eKmfG+X+FhG6iyqAgSBpOGc0JMevLuffZGkYqXMs2kk64V6o34zdj6KpLPk5TXHZPF6aOisBK2a3IttMbchMubT2JqspYaeqyPMUmGos7pTZJojAvQIw+65eAnSQhVO/5EQIr2oWcV4hqaRhaAsu2UPyhjDkWtBhC9SNsGzsZJT8cJhpPIimK10sStg1ahJBPJikFvDKeSzQF4SAx3ZnQz1MFwrJIpGaQVKET9PvRNB2fKhNQZOZOHceXb7qSy5bMzfhM3QylxYsXZwWxuHDXZts2CxYs8Czz29vbkWU5I3HydEpUTdP4q7/6K1paWvjDH/7wgbRwGQqyjlxs20bXdXbv3s2hQ4dYuHBhRtnGMAxeeeUVrrzyymEZStq/fz89PT0sWrRoyIqwZDJJY2MjiqKwaNGirJIg9vb2emo1y7K8ndpQBQHDAV3XaWxsRJIkampqzngTEkLwyzd38VTdfo51xbFsQTxp4PcpCNsmoTt5MpZpgSQRDiiOEaRlI+FO/kPIJ5HQU30ayxVsQFBVsCwTv6pgmgbJRAJVVZ2ZG0lCmDr+vLBjpyLZ2LZwynKKTDLS7TgCCJv8UIDers5UaUkiHA5hGyb4/JiSI1FWbA1bSIhUL0XYNla8GzWt1GX0tiMHwuSpTrMaSUaWJI/UAGQziWk7CjI7GSWkSkSiMdRgPlKaqkwVFgHJwLAsNFvpEzQkIoRDPmKxpDN8Kcko2Ei2jipJxJIawYBT8oppBgUBFduyuKC0gMsXz+Krf3EtRfmZcmLLsmhoaEAIweLFi7NqgDCdWE5cm5s46ZbP4vE4JSUlnijAnaUzDIPPfvazHDhwgFdffXXAw9vnA7KOXFwvn2g06pVG0mHbNi+//DIrV64cFrXJwYMHaW9vZ9GiRUMilkgkQkNDA6WlpcydOzerrFxisRgNDQ0UFRUxb948LMuivb2d1tZW2tvbT3IIGE2icY1GByODPtAa4eFXtvHOnuMkdYtkavjStGwUWSamGU6QmU8mYTgEUpyWJ2NZDgFJkkSeKhE3HPsZYdsIYXk9hyA6SdHXDxF6Eslt6CejKP6Qt/MP2XGnAZ56D42ezPLXScOX8W7UUIHT+7EtFCtBUHX6SQIZA4U8xSJi921UZGHjw0DDjyoM/DjuyqYAI80pQLYNRzhgGk4aaiDkDFjGe1DzCpHMJH7FeQ7TFshmkmDARyQaR/EFUWRQhIEtQAYCPpmgKlM7azJfWLOSi+ad2jzWbZC7m4VsIxZ3k1VbW3vWtcXjcU8809XVxX333ceUKVPYv38/nZ2drF+/Pqt6ltmErCOXlpYWdu/efcad/0svvcSHPvShIZechBAcPXqU3bt3M3XqVCorKwdFWK7B49SpU5kyZUpWZTR0dXXR2NjIhAkTTqlWcwUBbvkM8GrPI+0QEIlEqK+vp7KyktmzZw/pfXup6RBP/mk/mw61YxgWydRAphA2AomQz4lVjukmwu77yof9MrppoesWQtgoikxAlZGETcIwsXGGGG0t7jX0FWwkITBTU/BWrBs51Fend6S9fSWSPJEgJgLIwgLLQDJiaKYTI6D6fCjCxpD9ThNdkhCmQwjpQWFmpB0lXExQsohFI47sWZYglHaCEZYjRJBlfNhYSAjZ55T61BASEJQsFBmi8SSWaeALhjG1uDOZL6mAwI/luSHIEqiyYHxJmIsvrObaFYu878epHDFcSa+iKINukI8UbNvO6P8MlPQMw+Cxxx7j7rvv5vjx4xQUFHDNNddw3XXXce2112ZVREA2IOvIxS2LnelG88orr7Bs2bIhfZhu4940TY4cOXKSc3F/BhWFEBw6dIi9e/cO2eBxJHD8+HG2bt3KrFmzzupAAM7r6e7u9ohG0zRPullRUTGsNfPOzk42bdrElClThpWQhRA8U3eAJ9/bx56WHnqTGraFoy6zBUndwKf0+Zb1JnTSnzmoSl6DX9gWiuzk0cgILC2OkBUQ4FMk52eWwO9TUCULIWQSSQ3DNLGNJIFwIZYNtiRhJyIZ7slysgc7zZ04JJIk8ENqNT5bQ8YC28YWNhYKAVUibqneqQhhE0LHRMYvg21bJC2JkGwTsxSvjBdSIRKNIkk4cQHCJqQIR9atm8i2kVJ9OaIHRRaE/ApzJl/ANcsX8WdXXoyqqiQSCU+V2NXV5SUsVlRUUFRU5J1YhjIrMlJwiUXX9UELCyzL4o477uDtt9/m1Vdf5dixYzz33HM899xz/Pd//ze1tbUjsPJzF1lHLkIIdF0/4++89tprQwrUOl3j/sRBxfz8fI9oTvQvcpVNbW1tWae6SvcvW7hwIeXlp/dtOtNjuANpra2tRKNRiouLvXmaoYgBXNIbSYm2ize2HmHtxr3sPNpNW2+ChG4Q8quYliChOeUiW4i+E4xhocoSfp+MEI7SLKoZCGQkBH7ZRnf9tSzDUYulymdWMupksaS+J3mSQcx2y2kCnxHD8IW9IU6fESdp2Y5VjU8F20a3U3kuigqWiaVlzq6YsS4UWSGgKiR0A8kXIKRCQreQVD+SbSLZBsIy8akyWmoA1C8LfJIgGos5J5hgEDmVY6CZBgFFoqo4n1mTqvjzj17MyqV9jflTwTRNb4akvb3d+3kwGGTx4sVZNZlu2zabN2/2pNCDIRbbtvna177GK6+8wvr168/o6JGDg3OSXN58801mz55NRUXFGX/vdI/fn8a9YRjejbWjo4NgMJhxomlqakLXdWpqarJKdZVOemdL4RwITty1usRbUVExIEHAoUOH2LNnDwsWLBjU5zcUHO+Msfb93byz8ziHO6JEkwaa4TTvk7qJaVn4ZECSkCWJpGEikJAQBBTJSdYEND3p9EgEBFUZCadXI0lgGjoBn4/eWCJ1cjAIhfPQDds5AVk6BMK4J5Q8SSduK56dik+YOCOMzkCiJGyCqX6QIWRHCIAgIFnEbZmgDDLO99mvSPRqNkKSkYWFIkwMwyDoV1NT+86AaUI38MkSJflBxpcVclnNhfzFx1dQVpR/6jfuLNA0jffffx9wZsKSyaTXBK+oqBjTSXXbtr0gviVLlgyaWL75zW/y7LPP8tprrzFt2rQRWOkHD+ckuWzYsIFp06ZxwQUXDOix3cHIgTbu0xvgrnNxIBBg9uzZlJWVZU3z3k20TCaTI0p6LvG6u9b+CALSrfwXL16cFSe9ur0tvLTpEA37j3OsI0o0qQESiqIQSTi5QsV5PixbIIRNNKEhBKiqQkFAJaFbGHZq4DbNbVmYOrIse3b2eYpN0nSimxVJYGsJTNuZfykIBYjGYk6UsywTCoXQdNOZrg/0DWpayRgBv6OCM0wLRVbw+1Usw8BS/AQVR2IthECWQdcNDNMiP+THME0USaYoHGB8eREXzZnMJz6yhKnjht6IPlWYluuJ19bWRk9Pj6dMLC8vH9AMyVAxXMTyne98h9/+9resX7+eCy+8cARW2j889NBDPPTQQxw4cACAefPmcdddd7Fq1aoxW9OZkHXkAs5O6Ex47733GD9+fL9LKq6Vi2srM9iJ++7ubhoaGigpKcHv93sT8e6NNd1SYrThyqB9Pt+oJlpaluWVR9IFAenvh23bbNu2je7u7jGd/Tkd3GC0cNVk6o9EaNjfyqG2XrrjWsp1WWCnhif9ioxuWWipbGVhW54Tsl9ygsuc/DGBHxPNVhCAjMAv2Y5RJYBtE1QECcupTalAUHEGPGXJ6emYpokQFglLQuA4CfiEc9LSDANd1/H5/UhI+GVnMFSRwLRt8gM+SgpCzBhXzkWzJ3PtikWUFQ/uZHI6aJpGXV2dp/Q71SYr3aqoo6MDRVFOacEy3LBtmy1bthCLxQZtNyOE4Pvf/z6PPvoo69evZ86cOSOw0v7j2WefRVEUz6rqF7/4Bffeey8NDQ0nhSdmA85Jcqmrq6OioqJfflgnTtwPlliam5vZtm0bF154IRMnTvQeu6enh5aWFtra2tB13bNeKS8vHzUJZjQa9UhvLGXQ7oyA6xBgGAalpaUkEgmAETErHAqEEOzbt49Dhw6dNup659F23tnRzJZDbRzpiNARSRLXDTTDwEzNz9iWY0cjSU4JTZFANy1My8lvlBEkDEe95pdBVWV0S3g9HVkSxAwbWYKADH5FcuZxhMC2LJBAlRxhgSVs7zl8ioRfVQj7VcZXljCpopiaGRP4yOJZlA8zkZyIZDJJXV0dhYWFzJs3r1/fuXQLFvd6cSMlBupgfLbnGQ5i+cEPfsBDDz3Eq6++yoIFC4ZlbcON0tJS7r33Xm677baxXspJyEpyOVvU8dmcjF0Mh1V++g1owYIFp22Ouw1w98Yai8W8C6eysnLEBio7OjrYvHkzkyZNYtq0aVkjgxZC0NnZyZYtW7zPwK3DV1ZWjrljbLoNzpIlS06apzob4kmDHUfb2Xmkg4OtPRxs76E3lsQwbXoTGrphopkmum6imzaK7MiiTdOZSZGEk7YpUs7NshCoioxA4FedDBhh6RSGQ5QWFhD0KRTnBxlXXsSMceXMnVLFzPGVY3JSdomluLiYuXPnDvq6Si+f9fb2UlhY6J1qBjvY6zqnRyIRli5dOmhiuf/++/nRj37EK6+8wuLFiwf8GCMNy7L43e9+xy233EJDQ4NnX5VNOCfJZcuWLQQCAWbOPPUQFwwPsbhOzD09PSxevHhAN6D0LBZX4lxVVTVkpVU6jh07xvbt25kzZ86wxA8MJ+LxOPX19d7gpqZp3vvR3d19RiXeSMO2be9zXbJkyagIMgzTojOawDAsdMsiGo3T09NNpKebRCxCUX4ek8ZXU1lZSSKRYNu2bcyfPz/r5O2JRIK6ujpKS0uZM2fOsH1umqZllM/8fr8nCOhvAJgQwktSXbJkyaBOQkIIfvKTn3DPPffw0ksvcdFFFw3m5YwYmpqaWL58Oclkkvz8fH79619zzTXXjPWyTolzkly2b9+OJEnMnj37lH8/2MZ9OjRNY9OmTQBDTmY8k8R5oDtmyDxNLVy4MOusJ3p6emhoaGDcuHGnDHPTdd0TSHR0dBAIBLz3o6ioaESJxp3Q1nU9aySz6bLelpYWLy9+4sSJY9rHOxGJRIKNGzdSXl4+5KHXM+FUAWCu15drwHoihBBeX2/p0qWDJpaf/exnfO973+OFF15gxYoVw/FyhhW6rnPo0CG6u7tZu3YtjzzyCK+//nru5NJfnC3qeNeuXRiGcVITa7ga924Pwz32D+fFfSaJc3+UNG5Ucmdn54BPU6OB9vZ2Nm/ezPTp0/s1C3CiIECSJG/HOtw3VsMwaGxsBDirh9lYwJVpT58+3duQnMrZeiwQj8fZuHEjlZWVzJo1a9ROmkIIIpGI9/2IRqMUFRV535FwOJxBLEuWLBlUyVUIwaOPPso//dM/8dxzz3HZZZeNwKsZflx55ZVMnz6dhx9+eKyXchLOSXLZu3cv0WiURYsWeT8brgyW9vZ2mpqaRqWHcaLHl6qqGZLeE0sBhmGwefNmDMPoV1TyaMMt082dO5fq6uoB/3vbtunu7vbI1zCMjBvrUMhA0zTq6+sJBoMsXLgwa04DLvbv38+BAweora31ZNrpg6zpztbpN9bRQCwWo66ujgsuuGDIseJDhUu67e3tdHZ2OsOgsoyu61x00UWDKnEKIfjVr37F3//93/P0008PW1bUaOCjH/0oEydO5NFHHx3rpZyEc5JcDhw4QGdnp2e3kN5fkSRp0Gqpw4cPs2vXrkHfHIcC27YzPL5OlDgbhkFDQwOBQICFCxdmlRmg6whw4MCBYSvTnUogUVJS4g1uDoRY3f6PexLNlrkk6Mv+OXbs2FmHXt0ba1tbG52dnSfZr4zETT8ajVJXV8e4ceOGLUl1uGAYBk1NTXR3dztzRamgPNcXrz+bESEEv/vd77j99tt54oknuPrqq0dh5YPDt771LVatWsXEiROJRCL85je/4Z577uHFF18ctnyr4URWksvpoo5dHDlyhObmZpYtWzZsirCdO3dy/PhxampqTilJHU2ke3y1trZ6Q6VFRUUsXLgwq6z801VXw+kIcCISiYRHvN3d3RQUFHhEcyZBgGuOecEFF3DhhRdm1c3Rfe9aW1tZsmTJgE4i6X0aN/p7uMuJ0WiUjRs3MmHCBKZPn551792OHTvo6OjwSmHpVvnuZsR9T053onnyySf567/+ax5//HGuu+66UX4VA8Ntt93GK6+8QnNzs3cv+OY3v5mVxALnKLk0Nzdz4MABLrnkkiETizvVnkgkWLx4cVZZuYDjuLx582aKiorQdZ14PO6ViioqKsaUaNxgNDceYbTeO13XvZuq27dyT3npO3h36HXy5Mle2Fy2wO2ddXV1DVmxll5OHK4+TSQSoa6uzisPZxNcUm5raztt6N2JdkXhcJjy8nJKS0spLi5GURSee+45br31Vh577DFuvPHGMXglH2yck+TS2trKrl27uOSSS5xc9EH2VxKJBI2Njfj9/lGdau8vjhw5ws6dOzPKdOnpkr29vcNmJjlQGIbBpk2bsG17yGq6ocAVBLjvibuDDwQCHDhwIGPoNVvgDvm5pDycvbPh6NP09vZSX1/vkXI2QQjBrl27aG1t7XeaqmEY3invhRde4IEHHuDCCy+koaGBn/3sZ9xyyy2jsPLzD1lJLulRxyfCLRm9//77XHDBBVRWVg7K36unp4fGxkZP/ZJtdfi9e/dy+PBhampqTuv+fKLE2S0VubMjI4VkMklDQ0PWNcfdHfyBAwfo6OjIKBUNVRAwXHDjnF2H3pEm5WQy6YlG+tOn6enpob6+3ssmyia4/nTHjx9n6dKlp8yTORt0XedHP/oRd999N+Xl5XR1dfHRj36UNWvW8MUvfnEEVn3+4pwil3Qrl3RVkWmaXlmkPwFXLS0tbN26lenTpzNp0qSsK5ekD272lyROnB0JhULeiWY4zQJdmbY7RJdNpAx9cl63N+WeaGKxGKWlpWPq1GuaZka87miT3an6NK5dUWlpqZem6l4X2QRX+NDc3DxoYgF44403+NSnPsX//t//m1tvvZVdu3bxzDPPcODAAf7v//2/w7zq8xvnDLmkE0t6GUwIQW9vL62trbS0tJzR30sI4Uk+x8Ly/WxwS02WZVFTUzPoAT/3JnIqiXNJScmgicbtYUycODErG7z79u3zTnsnijLi8bi3Genp6Rm1U54LV+2XLQmNp+rT2LbNBRdcwKxZs7JONOIq6pYuXTroz2vDhg3cdNNN/PCHP+RLX/pSVn1/P4jISnKxbRvDMLw/n45YTkS6fLWlpYVEIkFpaSlVVVWUlZWxe/dub/hwpFRNg0UikaChocGzLh+um0+6xLm1tRUg45TX35NHa2srW7ZsYebMmVnXw0hXXdXW1p51sNQVBLilIneQdaQkvbquezM2w/nZDhc6OjpobGykrKwMTdPGbJ7mVHBLxEePHh0Ssbz//vusXr2a73//+9x+++05YhkFZDW5uBP3g7VycZvfx48fJxqNoigK06ZNY9y4cVm1M3P7P1VVVSM6/XyixNkwjH65OB85coRdu3Yxf/58KiuHngEynBiqT9jpJL1uqWioZb9kMkl9ff0ZbenHEh0dHWzatIlZs2Z5ERYD7dOMJPbu3cuRI0cGZS7qoqGhgeuuu45vf/vbfP3rXx9TYrn77rtZt24dO3bsIBQKsWLFCn7wgx8wa9asMVvTSCFryUXX9WGZuI/FYt6JoKSk5CSV1Vg79LongtHu/7i2Gi7RuKe8dIlzuofZmYQFY4Xh9glLt4RvbW3FsqwMSe9AB1ddk0c3CiHbdsuuVc+cOXNOOzR8YpyxJEkZfZqRPIW5372lS5cOmliampq45ppruPPOO/nHf/zHMf8Mrr76aj796U+zbNkyTNPkn//5n2lqamLbtm1Zl3M0VGQluZimSTKZ9P482N1eZ2cnmzZtYsKECRnTxclk0rupdnd3U1hYSGVlJVVVVaMq53VDqubNmzfm7rfuKa+1tdUriwghvBS/bPMwc3sYkiSNiE9YOvmmCwJc8j0bkbmWKVVVVVk3vAnO/FRTUxNz587td6Lr6eZp3FPNcFYD9u/fz8GDB4dELNu2bWPVqlV85Stf4bvf/W7WfQbgfA6VlZW8/vrr54yfWX+RleRyyy23sHfvXtasWcMNN9zA+PHjB/zFcGdEZs+efcbESl3XvZtqZ2en51hcVVU1YjuJ9MjfbHAEOBGxWIxNmzaRTCaxbXvUm99ng+sTFgqFRq2HEY/HPaLp6emhsLDQK5+d+J64A4jZONkOzmm5qalpSJb+6Xks6RuS4ejTuMSyZMmSQfdGd+7cyapVq7j11lv5j//4j6z7DFzs2bOHmTNnep/HBwlZSS5HjhzhiSeeYN26dWzYsIGlS5eyevVqVq9ezeTJk8/4RUm/cS9cuJDS0tJ+P++JjsWunLeqqmrQ4UUnwp1qj0Qi1NbWDlpSOVLQdZ3GxkbvRCCEyGh+u+9JZWUlBQUFo37RZoNPmJtN43p8hUIhj2hs26axsZEpU6Zk3QAiODL8LVu2sGDBgmHtn7l9mhPfk4H2aVyPuqEQy969e73y07333pt1fS4XQghWr15NV1cXb7755lgvZ9iRleTiQghBc3MzTz75JOvWreONN95g4cKFHtGcaKRnWRZNTU3EYjFqamqGtHsyTTPDsdjv91NVVdVva/xTwb1xw9AzYkYCiUQio/l84onArb+3tLTQ3t6Oz+fziKa4uHjEiSYbfcLSZd9tbW1YlkVxcTHTpk3rd8jVaOH48eNs3bqVhQsXjqgM/3R9GtdQ8nQnzYMHD7Jv3z6WLFlCYWHhoJ77wIEDrFq1iuuvv54HHnggq97/E/GVr3yF559/nrfeeosJEyaM9XKGHVlNLukQQtDe3u4Rzauvvsrs2bM9ogkGg3z5y1/mG9/4Bh/5yEeGtQZ/osWIoijeiaa/N1V3x+1mjmebHNW9cfdXsWbbtncDcSXObj9iMI4JZ0NXV5d3IpgyZUpWEEs6XA+4iRMnYlmWRzTuTXUwgoDhRHNzM9u3b2fhwoWnjeoeCfS3T3Po0CH27t07JGI5cuQIH//4x7nqqqt46KGHsppY7rjjDp566ineeOONrDzhDgfOGXJJhxCCrq4unnnmGdauXctLL72EbdtMnz6dn/3sZyxZsmTEvlgnzo244VZVVVWn3al2d3fT2Nh42mTGsYYrfBjsjft0Emd3vmioN1W3+XzhhRdm5Q7PLTWl9zDc4V6XfOPx+IAEAcOJY8eOsWPHDhYtWjSmqaWn69P4fD46OztZsmSJl2UzUDQ3N3P11Vfz4Q9/mP/6r//Kus2bCyEEd9xxB08++SSvvfbaGaPaz3Wck+SSjqeeeoqbb76Za6+9Fk3TePnll6murmb16tWsWbOGxYsXjyjRuDfVlpaWjAwWd/fuWs1k4/Ah9JVK5syZw7hx44b8eP2ROA8Ezc3NWZsnD3037rM5PqTfVHt7ez2F4kgPKbozSjU1NQPqP44Gkskku3fvpqWlBSDDsmggfZqWlhZWrVrF0qVL+cUvfpG1xALwv/7X/+LXv/41Tz/9dMZsS1FRUdY5sg8V5zS5bNq0iQ996EP88pe/9Cyzo9Eov//971m7di0vvPACpaWl3HDDDaxZs4Zly5aN2BdPCEFPTw8tLS3e7j0vL49YLMa8efP6LfccTRw8eJC9e/eOaKnkRInzQOaLXJ+wsd5xnw6ulHygN+50QUBHRwd5eXkj4gPnrm/x4sVZN6MEfcTnuioMpk/T3t7ONddcw9y5c/n1r3+dVSF6p8LpPtuf//znfO5znxvdxYwwzmlyAecCOt2JIB6P89JLL7F27Vqef/55wuEw119/PWvWrGH58uUj9kV0LdXb2trw+/0ZfmcVFRVjfgGkK+oWL1486FLEQHHifNHpJM7pPmGjub6BwPWoW7x48ZCk5K5wxL2pKoqS4QM32FO328MY6vpGCi6xnIr4+tun6ezs5Nprr2XatGk8/vjjWSeQOd9xzpNLf5FMJvnjH//IunXrePrpp1FVleuvv54bb7yRD33oQ8MmAHAVa/F4nMWLFxMMBonFYt6JJhaLjWnY12Bdl4cbJ/p7pZdEjh07RltbW798wkYbrteVa0kynB51rkOAS8C2bXubkoH0rg4cOMD+/fupra3NSmI+evQoO3fu7NeJKr1P09bWxrFjx/jBD37Ahz/8YV599VWmTp3KunXrRrWHlUP/cN6QSzoMw2D9+vWsXbuWp556CsuyuPbaa1mzZg0f+chHBv1F1TSNxsZGFEVh0aJFpySsE8tEbi58ZWXliF8gpmmyadMmDMMYFruU4YK7e29paaGtrQ2A6upqxo0bNyoS5/7CDapqaWkZcCzxYJ7Ldftua2vzelfu7v10n517ohqK6mok4faoBtsDam9v5+GHH+aBBx4gHo8zY8YMTzF6ySWXZHW/5XzDeUku6TBNk7feeovf/e53PPXUU8RiMa699lpWr17NRz/60X432dyck+LiYubNm9evcoabC+/awBcVFVFVVTUiqZKaptHQ0IDP52PRokVjXpo7Ea5PmKZpTJkyhc7OTtra2jw13nAZSQ4WQgi2bds2LLHEg8GJCaTuNHxlZaU3iOt6cQ33iWq44MqhhyIuiEaj3HTTTfj9fn7zm9/w1ltv8fTTT/PCCy+wdevWrIvROJ9x3pNLOizL4p133uGJJ57gySefpKuri6uvvprVq1dz1VVXnXan6kp5h5JzommaRzTpqZJVVVVDnuJ3zTuLior6TXyjCdcnTJbljBNfuhqvra0N0zQHVSYaKkYylngwcAUB6a7FPp+PaDSatScWl1iGIs6Ix+N88pOfxLZtfv/732eUTF3X9ByyBzlyOQ1s2+b999/3iKa5uZmrrrqK1atXs2rVKm9n+OKLL6KqKrNnzx62GYz0fkRHRwfhcDjD72wg5NXT00NDQ0PWzti4kcln8wk7cW4kkUhkOBaPVO9qtGOJBwrDMNi6dSsdHR1IkoSqql7vKlscAo4fP862bduGRCzJZJI///M/JxqN8tJLL2UlgeaQiRy59AOuX5RLNAcOHOCKK67AsizeeOMNXn75ZWpra0fkuQ3DyLChCQaDng3N2by9XEv16dOnM3ny5BFZ31AwFJ+waDSaMYzn9q6GM8LYsiwaGxuxLGtMYonPhvRMebdU5w74trW1Ydu216MpLy8fk36EO2C6aNGiQcvdNU3jL//yL2lra+Pll18ec1n1G2+8wb333ktdXZ1nT7VmzZoxXVM2IkcuA4QQgk2bNnHbbbexefNmAK644grWrFnDtddeS1lZ2YidDizL8hrfrt+ZKwY4cejs2LFjbN++PWtnbIbTJyyRSHhE40YonM6xuL9IL9XV1NRkXY8qXVxwqkx5d+7KfV+SyeSQhlkHA5dYhuJlZhgGn/3sZzl48CCvvPJKVsw7vfDCC7z99tvU1tbyiU98Ikcup0GOXAaISCTCn/3Zn3H06FGee+45EokEa9euZe3atWzevJkPf/jDrF69mhtuuIHKysoRJZrOzk5PYeX6nVVUVNDT08PBgwdZtGhR1k1lw8j6hJ1YUnQHFAfi4uzGEgcCARYuXJh1CiQhBDt27KC9vZ0lS5b0qyd3KkGA+30ZCWdu19Z/KMRimiaf//zn2bFjB+vXr8/KZr0kSTlyOQ1y5DJAdHR08K1vfYsf/vCHGTME7uDf2rVrWbduHRs3bmTFihXccMMNrF69mnHjxo0Y0bjzES0tLTQ3N2PbNpWVlYwfP35MFVanwmj6hJ3obN0fF+dsjyUWQrB9+3bPi2swqrVkMpkRGRAOh72T3nDEKLgmnkOx9bcsiy996Us0NDSwfv36rDx9Q45czoQcuYwAhBAcPnzYI5p33nmHZcuWeTY0IxFnnJ4TM2PGDE9lZVlWht/ZWO7Cx9InzD3pubv3U0mcsz2WOF0OvXTp0mHpLbk9PdchwOfzee9LcXHxgMnVJZahfMaWZXHHHXfw9ttv89prr50x7G+skSOX0yNHLiMMIQTHjh3zogLefPNNFi5cyJo1a1i9evWwJBUahkFjYyNCiIycGFdh5boDpNvQjLYFfDb5hKVLnF0CLi4upru7m6qqKubMmZOVxOI6KyxZsmRE5NDpjt9tbW0IITKk32fbmLS3t7Np06YhEYtt23z1q1/l1VdfZf369VkpRElHjlxOjxy5jCKEELS2tvLUU0+xbt061q9fz+zZsz2imT179oBvaq6UNxgMnrE/IIQgGo16RJMu5a2oqBgxJVS6XUo2+oQJITyprCzL2LY9Ku/LQJA+Z7NkyZJRcVZwBQEuAZ/O38uFq0ycO3fuoEtYtm3zD//wDzz33HO89tprTJs2bTheyogiRy6nR45cxghuJs3TTz/N2rVr+eMf/8i0adO8qID+DDu6rgClpaXMmTNnwFJe98YRjUY9JVFlZeWwKYncxnO2+oSBMwdUX1/vxRKf+L6MhMR5ILBt2/OqW7JkyZjM2Zwuh8X9vsTjcTZt2jRkYvn2t7/N7373u3Mq5yRHLqdHjlyyBD09PTz77LNe+Nn48eM9oqmpqTmJOLq7u2loaBiSK4CLeDzu3VB7e3spLi72bGgGe0N1d9uRSITa2tqszKro7OyksbGRGTNmMGnSpJP+3pU4t7S00NPTM2oZLC5s22bz5s0kk8msGuB0BQGuQwBARUUF06dPJz8/f1Bhc//6r//KL37xC1577TVmz549EsseNkSjUfbs2QPA4sWL+dGPfsTKlSspLS095ffofEWOXLIQkUgkI5OmvLzcc3BetmwZv/71r2lqauL2228f9gAy1xY//YbqDm32lyBcnzBd17PqppgOt4wza9asfjWMdV33ehHprgmVlZWDuqGeDbZte15rS5YsyYry3Ino7OykoaGB6upqT5nnKvIqKir6JQgQQnDPPffw05/+lPXr1zN//vxRWv3g8dprr7Fy5cqTfn7LLbfw6KOPjv6CshQ5cslyxONxXnzxRS+TBpyd09e+9jXuuuuuEVV/uR5WLS0tdHV1kZ+f7xHN6Xbu2T58CH3DfYMdMD1R4uz3+72o64EkKJ4OLjkbhkFtbW1WEktXVxcNDQ3Mnj3bSzB1FXmuzPlsggAhBPfffz/3338/r7zyCjU1NWPwSnIYKeTI5RyBEIJvf/vbPPDAA1x66aW89957+P1+70Rz6aWXjuhNyDAMj2hOt3Pvr0/YWKK/scT9RX8kzgN9vGy2nIE+YjnTqe90goC8vDzvNPyTn/yEH/zgB7z00kssW7ZslF9FDiONHLmcI/j2t7/NL3/5S1588UXmzp2LrusZmTS2bXPdddd5mTQjWYpKz19x/c5KSkpoa2ujrKxswD5howU39nek5NCnkjinS7/PRraWZdHQ0IAQgsWLF2flqa+7u5v6+voBDcG6goDW1lZ+97vf8e///u9UV1fT3t7Or371K2666aYRXnUOY4EcuZwj2LFjB/n5+ae8oE3T5M033/QyaRKJREYmzUiqnCzL4siRI+zZswchBIFA4KxT8GMBN51xtGJ/08O+XG+vM0mcTdOkoaEBSZJYvHhxVp76XBHJjBkzBt3rE0Lwwx/+kHvuuYcFCxZ4czE33ngj3/nOd7Lm+5LD0JEjlw8YLMtiw4YNPPHEEzz11FN0d3fz8Y9/nDVr1nDVVVcNu49Uuk/YpEmTTioRuUQzVvbvri3P4cOHqa2tHROr9vSd+6kkzqqqUl9fj6Io1NTUZCWxuJLtoRLLY489xp133skzzzzDypUr6erq4vnnn2fLli3cc889w7zqHMYS5wy53HDDDTQ2NtLa2kpJSQlXXnklP/jBD7xmYg4nw7Zt3nvvPS8qoKWlhY997GOsWbOGq6++eshphWfyCTsxD14IkWFDMxpE4zoHu5b02TJnk55A2t3djaIonklmNiZIusQyffr0QUtthRD89re/5Y477mDt2rV8/OMfH+ZV5pBtOGfI5f7772f58uVUV1dz9OhR7rzzTgA2bNgwxis7N2DbNg0NDTzxxBOsW7eOQ4cOceWVV7J69WquueaaAaucXEv//lh9CCEyehFuomRVVdWI+Z25Bo8dHR39dg4ebRiGwfvvv48kSQQCAc9EciQlzgNFb28vdXV1TJs2bUhWLOvWreNLX/oSjz/+ONddd90wrnDwePDBB7n33ntpbm5m3rx5/PjHP+bDH/7wWC/rA4NzhlxOxDPPPMOaNWvQNC0rFTXZDCEEW7Zs8Yhm165drFy50sukKS0tPeNNbSg+Yem9iJaWFjRN84hmuPzObNtm69at9Pb2jpgP11Ch6zp1dXXk5eWxYMECZFnOCIbr6Og4Y17PaMAllqlTpzJlypRBP85zzz3HrbfeymOPPcaNN944fAscAh5//HFuvvlmHnzwQS699FIefvhhHnnkEbZt25YbhBwmnJPk0tnZyd/8zd9w9OhR3nrrrbFezjkNIQQ7d+70Mmmampq47LLLWL16Nddff31GJo1t2+zdu5ejR48Oi0+Y63fmEk0ikaC0tNRzBxjMpsGdak8kEtTW1o6KD9dA4RJLOBw+ra3/qSTOo9m/ikQi1NXVeZk7g8WLL77IzTffzM9//nP+7M/+bPgWOERcfPHF1NbW8tBDD3k/mzNnDmvWrOHuu+8ew5V9cHBOkcs3v/lNfvKTnxCPx7nkkkt47rnnxtxh94ME12TSjQqoq6tjxYoVXunsrrvuIhQKcd99941I/8Jtere0tAzK7+xcGD7UNI26ujoKCgr65R8Hp5Y4j2SMgksskydPZurUqYN+nFdeeYXPfOYzPPzww/zFX/zFmJf4XOi6Tl5eHr/73e8yTlJ/93d/R2NjI6+//voYru6DgzEll+9973v8y7/8yxl/5/3332fp0qWAY9nR2dnJwYMH+Zd/+ReKiop47rnnsuZL+0GCEIJDhw6xdu1annjiCd599118Ph933HEHt91224hk0qQjkUh4Ds6u35lLNKcqc6VLebPVGSCZTFJXV0dRURHz5s0b1Pt3KolzeXm551Y8VEKNRqNs3LiRSZMmDcmV+I033uBTn/oUDzzwAJ/73Oey6ho9duwY48eP5+2332bFihXez//jP/6DX/ziF+zcuXMMV/fBwZiSS3t7O+3t7Wf8nSlTppzyZnLkyBEmTpzIhg0bWL58+Ugt8bxHLBbjpptu4vjx4/z5n/85f/jDH3jrrbdYtGiRFxUwbdq0Eb15uH5nrrrKNZCsrKwkLy8PXddpaGjA5/OxaNGirJTyJpNJNm7cOKxBZGeSOFdWVg64JBiNRqmrq2PChAlMnz590OvasGEDN910E/fddx9f/OIXs4pYoI9cTrx3/Pu//zv/8z//w44dO8ZwdR8cjOn2rry8nPLy8kH9W5cTNU0bziXlcAK+/vWvYxgGb775JoWFhfzTP/0TLS0tXibNv/7rv3q16tWrVzNr1qxhv5kEg0EmTZrEpEmTPAPJ1tZW9uzZQ15eHoZhkJ+ff0r36GyAm3DpRiMM1/sjSRL5+fnk5+czbdo0T+J8/Phxdu7ceRIJnwmxWIy6ujrGjx8/JGJ57733+OQnP8l//Md/ZCWxAJ5bwvHjxzN+3traOuoJqR9knBM9l/fee4/33nuPD33oQ5SUlLBv3z7uuusumpub2bp1a1Y2bT8ocH3ETnV6FELQ2dmZkUkzY8YMLypgpG1g3N6Aq7QKhUJUVlZSVVWVFTJecIxH6+rqqKioGBHiPR1c01HXFv9MEudYLMbGjRs9YhnsGuvr67n++uv5zne+w9e+9rWseP9Ph4svvpglS5bw4IMPej+bO3cuq1evzjX0hwnnBLk0NTXxd3/3d2zatIlYLEZ1dTVXX3013/72t7M6X/t8gmtU6GbSvPzyy0yYMMEjmkWLFg0r0cRiMerr6ykvL2f27NlYlnWSU7FLNIWFhWNyo3NPA1VVVVx44YVjdrNNlzi3t7dnWPS47gDV1dXMmDFj0GvcvHkz1157Ld/4xjf45je/mdXEAn1S5J/+9KcsX76cn/3sZ/zXf/0XW7duzfpo5XMF5wS5jAUOHDjA97//fV599VWOHz/OuHHj+Ku/+iv++Z//OSvzSbINkUiE559/nrVr1/Liiy9SXl7ODTfcwI033sjSpUuHRDRub6C6upqZM2eedCOzLIuOjg5PxqsoSoaMdzRufO5p4HRrHCuc+N6Ypkl+fj4zZ84clIszwLZt21i1ahW33347d911V9a81rPhwQcf5Ic//CHNzc3Mnz+f+++/n8suu2ysl/WBQY5cToMXX3yRxx9/nM985jPMmDGDLVu28MUvfpGbb76Z++67b6yXd04hFovx4osvsm7dOp577jkKCwu54YYbWLNmDZdccsmAGvA9PT00NDQwadIkpk6detYbmW3b3rxIa2urZ4lfVVU1YvMiLvkNtcw0kojH42zcuJGioiL8fj9tbW2Dkjjv3LmTVatWcdttt/Fv//ZvWflacxgb5MhlALj33nt56KGH2Ldv31gv5ZxFIpHgD3/4A+vWreOZZ54hEAhw/fXXs2bNmrNm0rgmmYO1IkmfF2lpacG2bY9oSktLh0Vl5vaBJk6cOOIqusEikUiwceNGKisrvXLd6ZwT3LiAU30ue/bsYdWqVXzmM5/hhz/8YVaKKXIYO+TIZQD49re/zYsvvsjGjRvHeikfCOi6zquvvupl0gBeJs3ll1+eUX50Q74GkiNyJrg9IneWxjCMDBuawRCNSyxDnREZSbjEciaBgStxbmlpoa2tLWOg1e1lHThwgKuvvpo1a9bw4x//OEcsOZyEHLn0E3v37qW2tpb//M//5Atf+MJYL+cDB9M0eeONN7xMmmQyyXXXXcfq1as5fvw4d999N3/4wx+GZEVyOgghiEQi3q7dHUw80679RLg+XFOmTBnSVPtIwp21KSsrY/bs2f0+VbkS5wMHDrBmzRqmTp1KS0sLq1at4rHHHssRSw6nxHlHLgN1BQBn13z55Zdz+eWX88gjj4z0Es97WJbF22+/zRNPPMGvfvUrOjs7ueiii/jqV7/Kxz72sRF1OE7ftbe2thKLxTJCvk4l5nAt6YfqHDyScIllqLM277//PjfddBPBYJC2tjbmzp3LjTfeyBe+8IWccjOHDJx35DJQV4Bjx46xcuVKLr74Yh599NHcLm0U8V//9V98/etf5/vf/z6HDx/mySefpLW1lauuuoo1a9bw8Y9/fMTzT9In4CORyEkT8G4641CyTkYaru1MSUnJkIjFPa0sW7aMRx991FMErlu3jrvuuotFixYN88pzOJdx3pHLQHD06FFWrlzJkiVLeOyxx7LSVuSDiq1bt3LppZfy7LPPehkbtm1TX1/vRQUcPnyYK6+8kjVr1nDNNdeM+DxLeshXT08P4XCYWCzGtGnTsrbHomkaGzdupLi4eEi2M21tbVx77bXMmzePX/3qV1np3ZZDdiFHLqeBWwqbNGkSv/zlLzOI5YILLhjDlZ0/aGtro6Ki4pR/Z9t2RibN7t27ueKKK1i9enW/MmmGipaWFpqamgiFQiQSCQoKCrwTTTgcHrHnHQhcB+bCwsJBG2WCE3FxzTXXMH36dH77299mpds0ON5gzz//PI2Njfj9frq7u8d6Sec1cuRyGjz66KPceuutp/y73FuWXRBCsGPHDo9otmzZwuWXX+5l0lRUVAwr0XR0dLBp0yZmz57NuHHj0HXds1px7XJcd4BwODwmcmRd19m4ceOQiaW7u5vrr7+e6upq1q1bl9UDxN/97ncpLi7myJEj/Pd//3eOXMYYOXLJQuR2YIOHm0njEk1DQ4OXSXPDDTdQXV09pJt9e3s7mzdvZs6cOVRXV5/09ydarQSDQY9oCgoKRoVoXGIpKChg/vz5g37O3t5e1qxZQ1FREU8//XRWJnqeCo8++ihf/epXc9fNGCNHLlmI3A5seCCE4ODBg6xdu5Ynn3ySd999l4suuojVq1ezevVqJk6cOKAbb1tbG01NTcydO7dfpVHX76ylpYX29nZ8Pp9HNCMVW9yflMv+IBqNctNNN+H3+3n++ecJhULDvNKRQ45csgM5csli5C6S4YMQgqNHj7Ju3TrWrVvH22+/TU1NjRcVcDYrmdbWVpqampg/f/6gbNnTY4tbW1sz/M6Ki4uHRYXoEkteXh4LFiwY9GPG43E++clPIoTg+eefH5HU0ZFE7rrJDuR0tTmcF5AkiQkTJvC3f/u3rF+/nsOHD/P5z3+e1157jcWLF3PppZfygx/8gJ07d57UU2tubqapqYkFCxYMOu9DURQqKiqYN28el19+OfPmzcO2bZqamnjjjTfYtm0b7e3t2LY9qMc3DIP6+vohE0symeQzn/kMuq7z7LPPjjmxfO9730OSpDP+l3PMyE7kTi5ZjNwObOQhhKCjo8PLpHnllVeYOXOm5+D81ltv8eijj/L0009TWVk5Is/f3d3tDW0OxjzSMAzq6uoIBoMsXLhw0MSiaRp/+Zd/SXt7Oy+//DLFxcWDepzhxGDSanPXTXYgJ1YfJQzGGSCHkYckSZSXl3Pbbbfx+c9/np6eHp555hnWrl3Lfffdh2maXHfddRw7dozy8vJhH6KVJImSkhJKSkqYNWsWvb29tLS0sGvXLnRdz7ChOdVsiXtiCQQCQyIWXde55ZZbaG5u5pVXXskKYoGhpdXmMLbIkcso4fbbb+fTn/70GX9nJHyzcug/JEmiuLiYz372s5imyauvvso3vvENdu7cyVVXXUVlZaV3olmyZMmIEE1RURFFRUXMnDmTaDRKS0sL+/btY+vWrRk2ND6fD9M0aWhowO/3DymMzTAMvvCFL7B//35effVVSktLh/V1jRYOHTpEZ2cnhw4dwrIsGhsbAZgxY8aYl/fOR+TKYlmM3PF+bPDmm29yzTXX8Oyzz/KRj3wEcGxgXnjhBdatW8fzzz9PUVGRl0lz8cUXj7h7QzQa9cQA0WiUkpISEokEwWCQxYsXD/r5TdPkS1/6Eps2bWL9+vXndIb85z73OX7xi1+c9PP169d7n2MOo4ccuWQh3B3YM888w7333subb74J5HZgowXbttm1axezZ88+5d8nEglefvll1q1bx7PPPkswGMzIpBlpa5RIJEJjYyOmaWJZFsXFxZ7ybCCzKJZlcfvtt/POO+/w2muvMW7cuBFcdQ7nG3LkkoXI7cDOHei6zh//+EfWrVvH008/jSRJXHvttdx4441cdtllwz7R7pbCZFmmpqYGwzC8qICenh4KCwu9WZozzabYts1Xv/pV1q9fz/r167PWdDOHcxc5cjmP8eCDD3LvvffS3NzMvHnz+PGPf+yZROYwcBiG4WXSPP3002iaxrXXXsuaNWtYuXLlkCfcLcuioaEBSZKoqak5qRSmaRptbW20tLTQ1dVFfn4+VVVVJ/md2bbNP/zDP/D888/z2muvZW3+TA7nNnLkcp7i8ccf5+abb+bBBx/k0ksv5eGHH+aRRx5h27ZtuV3sMMCyLN566y2eeOIJnnrqKXp7e1m1ahVr1qzhyiuvHHAmjUssQL96LIZheETT0dGBJEm88MILfOITn+Dpp59m3bp1rF+/npkzZw76NeaQw5mQI5fzFBdffDG1tbU89NBD3s/mzJnDmjVruPvuu8dwZR882LbNu+++6xFNW1tbRibN2fporvLJtm1qa2sH3Lw3TZOmpia+853v8MYbbwBw66238td//dcsXbp0TIw1c/jgIzehfx7CtQm56qqrMn5+1VVXsWHDhjFa1QcXsiyzYsUKfvSjH7Fnzx5effVVZs6cyfe//32mTJnCpz/9af7f//t/9PT0nOQOYFkWmzZtwrbtQavCVFWlpqaGFStWUFJSwn333UcikeDKK69kypQpbN26dbheag45eMiRy3mI9vZ2LMs6SXZaVVXF8ePHx2hV5wdkWWbZsmXcc8897Nixgw0bNrBo0SJ+9KMfMWXKFD71qU/xy1/+ks7OTqLRKDfffDPNzc0sXrx40Co0IQQ/+tGPeOihh/jjH//IV7/6VR577DFaW1t56KGHsjboLIdzGzlyOY9xYjlECJErkYwiXMXX97//fbZs2UJDQwOXXHIJP/3pT5k6dSqzZs3ivffe48ILLxz0HIsQgv/zf/4P999/Py+99FJGFHEgEOCaa64Zc8fjAwcOcNtttzF16lRCoRDTp0/nu9/9Lrquj+m6chgacuRyHqK8vBxFUU46pbS2tp7TQ3TnMiRJYu7cudx111386U9/4rLLLiMcDlNVVcXSpUu55pprePjhh2lubu53WJ0Qgocffph77rmH3//+91lrLbRjxw5s2+bhhx9m69at3H///fz0pz/lW9/61lgvLYchINfQP09x8cUXs2TJEh588EHvZ3PnzmX16tW5hv4YwrIsPvGJT3DkyBH++Mc/UlRUxIEDB7xMmj/96U9cfPHFXibNhAkTTnnaFELw85//nG9961s8//zz55zE/N577+Whhx5i3759Y72UHAaJ3MnlPMXXv/51HnnkEf6//+//Y/v27Xzta1/j0KFDfPnLXx7rpZ3XUBSF66+/3nMlliSJqVOncuedd/LWW2+xf/9+/uzP/oznn3+eefPmsXLlSn784x+zf/9+70QjhOB//ud/+Kd/+ieeeeaZc45YAHp6es5Zj7McHOROLucxHnzwQX74wx/S3NzM/Pnzuf/++7nsssvGelk59ANCCI4fP86TTz7JunXreP3115k/fz6rV68mEAjw7//+76xbt+4kReC5gL1791JbW8t//ud/8oUvfGGsl5PDYCFyyGEU8frrr4vrrrtOVFdXC0A8+eSTY72kcx62bYu2tjbxyCOPiCuuuEIA4rHHHhvrZYnvfve7Ajjjf++//37Gvzl69KiYMWOGuO2228Zo1TkMF3InlxxGFS+88AJvv/02tbW1fOITn+DJJ59kzZo1Y72sDwxEKs55woQJY72UAQd9HTt2jJUrV3LxxRfz6KOPDnukQQ6jixy55DBmkCQpRy45AHD06FFWrlzJkiVLeOyxx0Y8wiCHkUcuLCyHHHIYUxw7doyPfOQjTJo0ifvuu4+2tjbv7y644IIxXFkOQ0GOXHLIIYcxxcsvv8yePXvYs2fPSeW8XGHl3EWuqJlDDjmMKT73uc8hhDjlfzmcu8iRSw455JBDDsOOHLnkkEMOOeQw7Mj1XHIYVUSjUfbs2eP9ef/+/TQ2NlJaWpoLKcshhw8QclLkHEYVr732GitXrjzp57fccguPPvro6C8ohxxyGBHkyCWH8wZ3330369atY8eOHYRCIVasWMEPfvADZs2aNdZLyyGHDxxyPZcczhu8/vrrfOUrX+Hdd9/lD3/4A6ZpctVVVxGLxcZ6aTnk8IFD7uSSw3mLtrY2Kisref3113OGnTnkMMzInVxyOG/R09MDkLN2HyJuuOEGJk2aRDAYpLq6mptvvpljx46N9bJyGGPkTi45nJcQQrB69Wq6urp48803x3o55zTuv/9+li9fTnV1NUePHuXOO+8EYMOGDWO8shzGEjlyyeG8xFe+8hWef/553nrrraxwEP4g4ZlnnmHNmjVomobP5xvr5eQwRsjNueRw3uGOO+7gmWee4Y033sgRyzCjs7OTX/3qV6xYsSJHLOc5cj2XHM4bCCG4/fbbWbduHa+++ipTp04d6yV9YPDNb36TcDhMWVkZhw4d4umnnx7rJeUwxsiRSw7nDb7yla/w2GOP8etf/5qCggKOHz/O8ePHSSQSY720rMP3vvc9JEk6438bN270fv8b3/gGDQ0NvPzyyyiKwmc/+9mc8eR5jlzPJYfzBpIknfLnP//5z/nc5z43uovJcgw0RTIdR44cYeLEiWzYsIHly5eP1BJzyHLkei45nDfI7aP6j/LycsrLywf1b933WdO04VxSDucYcmWxHHIYBTz00EMsXLiQwsJCCgsLWb58OS+88MJYL2vIeO+99/jJT35CY2MjBw8eZP369fzFX/wF06dPz51aznPkyCWHHEYBEyZM4J577mHjxo1s3LiRK664gtWrV7N169axXtqQEAqFWLduHR/96EeZNWsWn//855k/fz6vv/46gUBgrJeXwxgi13PJIYcxQmlpKffeey+33XbbWC8lhxyGHbmeSw45jDIsy+J3v/sdsVgsVzrK4QOLHLnkkMMooampieXLl5NMJsnPz+fJJ59k7ty5Y72sHHIYEeTKYjnkMErQdZ1Dhw7R3d3N2rVreeSRR3j99ddzBJPDBxI5cskhhzHClVdeyfTp03n44YfHeik55DDsyKnFcshhjCCEyM2C5PCBRa7nkkMOo4BvfetbrFq1iokTJxKJRPjNb37Da6+9xosvvjjWS8shhxFBjlxyyGEU0NLSws0330xzczNFRUUsXLiQF198kY997GNjvbQcchgR5HouOeSQQw45DDtyPZcccsghhxyGHTlyySGHHHLIYdiRI5cccsghhxyGHTlyySGHHHLIYdiRI5cccsghhxyGHTlyySGHHHLIYdiRI5cccsghhxyGHTlyySGHHHLIYdiRI5cccsghhxyGHTlyySGHHHLIYdiRI5cccsghhxyGHf8/YFiU+KfEivcAAAAASUVORK5CYII=",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "id": "b27b7d36",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "%matplotlib inline\n",
     "\n",
@@ -1057,8 +1200,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "949a0d1c",
-   "metadata": {},
+   "id": "3cec05a7",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "And then as countor plot"
    ]
@@ -1066,20 +1211,12 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "3b0698ff",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "image/png": "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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "id": "3f348ef8",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "pt.axis(\"equal\")\n",
     "pt.contour(xmesh, ymesh, fmesh)\n",
@@ -1088,8 +1225,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b3d4208f",
-   "metadata": {},
+   "id": "b4e35f32",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Find guesses"
    ]
@@ -1097,8 +1236,11 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "d7e4a182",
-   "metadata": {},
+   "id": "41aa6226",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "x = guesses[-1]\n",
@@ -1107,8 +1249,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fbc59d26",
-   "metadata": {},
+   "id": "03977607",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Run it!"
    ]
@@ -1116,17 +1260,12 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "18be8fa1",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "[ 0.69230769 -0.38461539]\n"
-     ]
-    }
-   ],
+   "id": "318314e2",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "def f1d(alpha):\n",
     "    return f(x + alpha*s)\n",
@@ -1139,8 +1278,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7f40f5f6",
-   "metadata": {},
+   "id": "a0261d67",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "What happened?"
    ]
@@ -1148,30 +1289,12 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "dbdb7d4e",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "[<matplotlib.lines.Line2D at 0x12a472ee0>]"
-      ]
-     },
-     "execution_count": 5,
-     "metadata": {},
-     "output_type": "execute_result"
-    },
-    {
-     "data": {
-      "image/png": "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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "id": "43d274e3",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "pt.axis(\"equal\")\n",
     "pt.contour(xmesh, ymesh, fmesh, 50)\n",
@@ -1181,16 +1304,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "851db164",
-   "metadata": {},
+   "id": "a38a2dab",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Note that we did only one iteration here. We can easily add more using our previous guesses."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "f1300342",
-   "metadata": {},
+   "id": "54215dfb",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Conjugate gradient method\n",
     "In the CG method we define so-called conjugate directions and two vectors \n",
@@ -1201,8 +1328,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "15530c95",
-   "metadata": {},
+   "id": "b78458c4",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{s}^T\\boldsymbol{A}\\boldsymbol{t}= 0.\n",
@@ -1211,8 +1340,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "35222dc4",
-   "metadata": {},
+   "id": "e4ff83c9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "The philosophy of the CG method is to perform searches in various conjugate directions\n",
     "of our vectors $\\boldsymbol{x}_i$ obeying the above criterion, namely"
@@ -1220,8 +1351,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a5ab4e81",
-   "metadata": {},
+   "id": "8f583f25",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{x}_i^T\\boldsymbol{A}\\boldsymbol{x}_j= 0.\n",
@@ -1230,8 +1363,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "922a54c4",
-   "metadata": {},
+   "id": "cef5af3c",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Two vectors are conjugate if they are orthogonal with respect to \n",
     "this inner product. Being conjugate is a symmetric relation: if $\\boldsymbol{s}$ is conjugate to $\\boldsymbol{t}$, then $\\boldsymbol{t}$ is conjugate to $\\boldsymbol{s}$."
@@ -1239,8 +1374,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "606d1a71",
-   "metadata": {},
+   "id": "121f7cf6",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Conjugate gradient method\n",
     "An example is given by the eigenvectors of the matrix"
@@ -1248,8 +1385,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e46ac6fc",
-   "metadata": {},
+   "id": "bd6f31c1",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{v}_i^T\\boldsymbol{A}\\boldsymbol{v}_j= \\lambda\\boldsymbol{v}_i^T\\boldsymbol{v}_j,\n",
@@ -1258,16 +1397,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aec2962a",
-   "metadata": {},
+   "id": "49e134c5",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "which is zero unless $i=j$."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "f62eeb16",
-   "metadata": {},
+   "id": "246cde51",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Conjugate gradient method\n",
     "Assume now that we have a symmetric positive-definite matrix $\\boldsymbol{A}$ of size\n",
@@ -1276,8 +1419,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bde9cf46",
-   "metadata": {},
+   "id": "8f37039b",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{x}_{i+1}=\\boldsymbol{x}_{i}+\\alpha_i\\boldsymbol{p}_{i}.\n",
@@ -1286,8 +1431,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1b354afe",
-   "metadata": {},
+   "id": "87526237",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "We assume that $\\boldsymbol{p}_{i}$ is a sequence of $n$ mutually conjugate directions. \n",
     "Then the $\\boldsymbol{p}_{i}$  form a basis of $R^n$ and we can expand the solution \n",
@@ -1296,8 +1443,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a3e7fc78",
-   "metadata": {},
+   "id": "3e9efa18",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{x}  = \\sum^{n}_{i=1} \\alpha_i \\boldsymbol{p}_i.\n",
@@ -1306,8 +1455,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9608b5e1",
-   "metadata": {},
+   "id": "93a7fb4b",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Conjugate gradient method\n",
     "The coefficients are given by"
@@ -1315,8 +1466,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d667abb4",
-   "metadata": {},
+   "id": "8a737bc7",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\mathbf{A}\\mathbf{x} = \\sum^{n}_{i=1} \\alpha_i \\mathbf{A} \\mathbf{p}_i = \\mathbf{b}.\n",
@@ -1325,16 +1478,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2b909963",
-   "metadata": {},
+   "id": "383e3298",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Multiplying with $\\boldsymbol{p}_k^T$  from the left gives"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "0e9960df",
-   "metadata": {},
+   "id": "c25b2dfa",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{p}_k^T \\boldsymbol{A}\\boldsymbol{x} = \\sum^{n}_{i=1} \\alpha_i\\boldsymbol{p}_k^T \\boldsymbol{A}\\boldsymbol{p}_i= \\boldsymbol{p}_k^T \\boldsymbol{b},\n",
@@ -1343,16 +1500,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4d334201",
-   "metadata": {},
+   "id": "4b3f5db3",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "and we can define the coefficients $\\alpha_k$ as"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "f06c6496",
-   "metadata": {},
+   "id": "ebd88b2e",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\alpha_k = \\frac{\\boldsymbol{p}_k^T \\boldsymbol{b}}{\\boldsymbol{p}_k^T \\boldsymbol{A} \\boldsymbol{p}_k}\n",
@@ -1361,8 +1522,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "69adaefe",
-   "metadata": {},
+   "id": "baa81bcb",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Conjugate gradient method and iterations\n",
     "\n",
@@ -1379,8 +1542,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "35cf8e92",
-   "metadata": {},
+   "id": "46e17082",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{x}_0=0,\n",
@@ -1389,16 +1554,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "686fe37b",
-   "metadata": {},
+   "id": "ed1e6366",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "or consider the system"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "b6cdf1da",
-   "metadata": {},
+   "id": "44dfe77f",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{A}\\boldsymbol{z} = \\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x}_0,\n",
@@ -1407,16 +1576,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f03df570",
-   "metadata": {},
+   "id": "51b93467",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "instead."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "d2619eaa",
-   "metadata": {},
+   "id": "659810a9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Conjugate gradient method\n",
     "One can show that the solution $\\boldsymbol{x}$ is also the unique minimizer of the quadratic form"
@@ -1424,8 +1597,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7c99b348",
-   "metadata": {},
+   "id": "62890f2c",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "f(\\boldsymbol{x}) = \\frac{1}{2}\\boldsymbol{x}^T\\boldsymbol{A}\\boldsymbol{x} - \\boldsymbol{x}^T \\boldsymbol{x} , \\quad \\boldsymbol{x}\\in\\mathbf{R}^n.\n",
@@ -1434,8 +1609,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "06107635",
-   "metadata": {},
+   "id": "c0fe14af",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "This suggests taking the first basis vector $\\boldsymbol{p}_1$ \n",
     "to be the gradient of $f$ at $\\boldsymbol{x}=\\boldsymbol{x}_0$, \n",
@@ -1444,8 +1621,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7d57e70c",
-   "metadata": {},
+   "id": "1e52026b",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{A}\\boldsymbol{x}_0-\\boldsymbol{b},\n",
@@ -1454,8 +1633,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d07728a4",
-   "metadata": {},
+   "id": "bcf59df7",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "and \n",
     "$\\boldsymbol{x}_0=0$ it is equal $-\\boldsymbol{b}$.\n",
@@ -1465,8 +1646,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "64a6011d",
-   "metadata": {},
+   "id": "292e8dc5",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Conjugate gradient method\n",
     "Let  $\\boldsymbol{r}_k$ be the residual at the $k$-th step:"
@@ -1474,8 +1657,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "395293fb",
-   "metadata": {},
+   "id": "093ad28a",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{r}_k=\\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x}_k.\n",
@@ -1484,8 +1669,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2742cfb7",
-   "metadata": {},
+   "id": "9ee5dacc",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Note that $\\boldsymbol{r}_k$ is the negative gradient of $f$ at \n",
     "$\\boldsymbol{x}=\\boldsymbol{x}_k$, \n",
@@ -1498,8 +1685,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6bca98e3",
-   "metadata": {},
+   "id": "68f99505",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{p}_{k+1}=\\boldsymbol{r}_k-\\frac{\\boldsymbol{p}_k^T \\boldsymbol{A}\\boldsymbol{r}_k}{\\boldsymbol{p}_k^T\\boldsymbol{A}\\boldsymbol{p}_k} \\boldsymbol{p}_k.\n",
@@ -1508,8 +1697,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0b38ac3f",
-   "metadata": {},
+   "id": "bcac1586",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Conjugate gradient method\n",
     "We can also  compute the residual iteratively as"
@@ -1517,8 +1708,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0588ed16",
-   "metadata": {},
+   "id": "ce27b155",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{r}_{k+1}=\\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x}_{k+1},\n",
@@ -1527,16 +1720,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2f7bd339",
-   "metadata": {},
+   "id": "524bcfdb",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "which equals"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "5d46e7c8",
-   "metadata": {},
+   "id": "1386c597",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{b}-\\boldsymbol{A}(\\boldsymbol{x}_k+\\alpha_k\\boldsymbol{p}_k),\n",
@@ -1545,16 +1742,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a6dfda96",
-   "metadata": {},
+   "id": "6f813648",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "or"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "bea30687",
-   "metadata": {},
+   "id": "4c3248f2",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "(\\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x}_k)-\\alpha_k\\boldsymbol{A}\\boldsymbol{p}_k,\n",
@@ -1563,16 +1764,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ec002ff0",
-   "metadata": {},
+   "id": "9bc69068",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "which gives"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "a45514a5",
-   "metadata": {},
+   "id": "14e706f1",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{r}_{k+1}=\\boldsymbol{r}_k-\\boldsymbol{A}\\boldsymbol{p}_{k},\n",
@@ -1581,8 +1786,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "60756713",
-   "metadata": {},
+   "id": "8ff319c8",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Revisiting our first homework\n",
     "\n",
@@ -1603,8 +1810,11 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "9e6108fd",
-   "metadata": {},
+   "id": "7e7faa97",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "m = 100\n",
@@ -1614,8 +1824,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "146e4fe9",
-   "metadata": {},
+   "id": "7885df38",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "with $x_i \\in [0,1] $ is chosen randomly using a uniform distribution. Additionally we have a stochastic noise chosen according to a normal distribution $\\cal {N}(0,1)$. \n",
     "The linear regression model is given by"
@@ -1623,8 +1835,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c5c0a7f1",
-   "metadata": {},
+   "id": "20151eb1",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "h_\\beta(x) = \\boldsymbol{y} = \\beta_0 + \\beta_1 x,\n",
@@ -1633,16 +1847,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f5f1aea6",
-   "metadata": {},
+   "id": "87c3b2cd",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "such that"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "76b1993f",
-   "metadata": {},
+   "id": "493e2541",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{y}_i = \\beta_0 + \\beta_1 x_i.\n",
@@ -1651,8 +1869,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b5a211bb",
-   "metadata": {},
+   "id": "8a082762",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Gradient descent example\n",
     "\n",
@@ -1663,8 +1883,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4b0b1b01",
-   "metadata": {},
+   "id": "5c54bcb6",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "X \\equiv \\begin{bmatrix}\n",
@@ -1677,16 +1899,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c5751686",
-   "metadata": {},
+   "id": "23d09807",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "The cost/loss/risk function is given by ("
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "a2d6f6a6",
-   "metadata": {},
+   "id": "e4d67729",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "C(\\beta) = \\frac{1}{n}||X\\beta-\\mathbf{y}||_{2}^{2} = \\frac{1}{n}\\sum_{i=1}^{100}\\left[ (\\beta_0 + \\beta_1 x_i)^2 - 2 y_i (\\beta_0 + \\beta_1 x_i) + y_i^2\\right]\n",
@@ -1695,16 +1921,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "af74580d",
-   "metadata": {},
+   "id": "2eef4f99",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "and we want to find $\\beta$ such that $C(\\beta)$ is minimized."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "949f8aab",
-   "metadata": {},
+   "id": "56f73ade",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## The derivative of the cost/loss function\n",
     "\n",
@@ -1713,8 +1943,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5e3860a4",
-   "metadata": {},
+   "id": "8deab8b6",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\nabla_{\\beta} C(\\beta) = \\frac{2}{n}\\begin{bmatrix} \\sum_{i=1}^{100} \\left(\\beta_0+\\beta_1x_i-y_i\\right) \\\\\n",
@@ -1725,16 +1957,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "765febad",
-   "metadata": {},
+   "id": "fd240c75",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "where $X$ is the design matrix defined above."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "65781e41",
-   "metadata": {},
+   "id": "fdf6f2dd",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## The Hessian matrix\n",
     "The Hessian matrix of $C(\\beta)$ is given by"
@@ -1742,8 +1978,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7e1e9714",
-   "metadata": {},
+   "id": "f930ee8a",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{H} \\equiv \\begin{bmatrix}\n",
@@ -1755,16 +1993,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9d48eebb",
-   "metadata": {},
+   "id": "898e06cb",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "This result implies that $C(\\beta)$ is a convex function since the matrix $X^T X$ always is positive semi-definite."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "fd88e7fd",
-   "metadata": {},
+   "id": "81725bf9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Simple program\n",
     "\n",
@@ -1773,8 +2015,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e12fb5d1",
-   "metadata": {},
+   "id": "4ef5633f",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\beta_{k+1} = \\beta_k - \\gamma \\nabla_\\beta C(\\beta_k), \\ k=0,1,\\cdots\n",
@@ -1783,8 +2027,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "eeb13498",
-   "metadata": {},
+   "id": "142ffc92",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "We can use the expression we computed for the gradient and let use a\n",
     "$\\beta_0$ be chosen randomly and let $\\gamma = 0.001$. Stop iterating\n",
@@ -1796,8 +2042,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7ffca923",
-   "metadata": {},
+   "id": "28051170",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Gradient Descent Example\n",
     "\n",
@@ -1807,31 +2055,12 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "9321710e",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Eigenvalues of Hessian Matrix:[0.39227722 4.38168146]\n",
-      "[[3.8976899 ]\n",
-      " [3.03844474]]\n",
-      "[[3.8976899 ]\n",
-      " [3.03844474]]\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": "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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "id": "481d02c8",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "\n",
     "# Importing various packages\n",
@@ -1883,8 +2112,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e65d5b5b",
-   "metadata": {},
+   "id": "35b0af87",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## And a corresponding example using **scikit-learn**"
    ]
@@ -1892,19 +2123,12 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "e73c4b82",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "[[3.81448757]\n",
-      " [3.3421718 ]]\n",
-      "[3.83247778] [3.40246301]\n"
-     ]
-    }
-   ],
+   "id": "d0822e39",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "# Importing various packages\n",
     "from random import random, seed\n",
@@ -1926,8 +2150,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0cffa723",
-   "metadata": {},
+   "id": "af7ac4d0",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Gradient descent and Ridge\n",
     "\n",
@@ -1936,8 +2162,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e70974bf",
-   "metadata": {},
+   "id": "9e04fb04",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "C_{\\text{ridge}}(\\beta) = \\frac{1}{n}||X\\beta -\\mathbf{y}||^2 + \\lambda ||\\beta||^2, \\ \\lambda \\geq 0.\n",
@@ -1946,16 +2174,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8e2c0506",
-   "metadata": {},
+   "id": "740b9955",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "In order to minimize $C_{\\text{ridge}}(\\beta)$ using GD we adjust the gradient as follows"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "673104d6",
-   "metadata": {},
+   "id": "c3ffbc6f",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\nabla_\\beta C_{\\text{ridge}}(\\beta)  = \\frac{2}{n}\\begin{bmatrix} \\sum_{i=1}^{100} \\left(\\beta_0+\\beta_1x_i-y_i\\right) \\\\\n",
@@ -1966,16 +2198,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f5d61a03",
-   "metadata": {},
+   "id": "20eb1fff",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "We can easily extend our program to minimize $C_{\\text{ridge}}(\\beta)$ using gradient descent and compare with the analytical solution given by"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "7e9aec7d",
-   "metadata": {},
+   "id": "e995e244",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\beta_{\\text{ridge}} = \\left(X^T X + n\\lambda I_{2 \\times 2} \\right)^{-1} X^T \\mathbf{y}.\n",
@@ -1984,8 +2220,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "54248fbe",
-   "metadata": {},
+   "id": "1c300f84",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## The Hessian matrix for Ridge Regression\n",
     "The Hessian matrix of Ridge Regression for our simple example  is given by"
@@ -1993,8 +2231,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0b57c03b",
-   "metadata": {},
+   "id": "7d165637",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{H} \\equiv \\begin{bmatrix}\n",
@@ -2006,8 +2246,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "562d6a77",
-   "metadata": {},
+   "id": "08f0c5d1",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "This implies that the Hessian matrix  is positive definite, hence the stationary point is a\n",
     "minimum.\n",
@@ -2018,8 +2260,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "018079a6",
-   "metadata": {},
+   "id": "7d06856d",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Program example for gradient descent with Ridge Regression"
    ]
@@ -2027,31 +2271,12 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "12f965e7",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Eigenvalues of Hessian Matrix:[0.31252985 4.57630515]\n",
-      "[[4.06031839]\n",
-      " [3.01099015]]\n",
-      "[[4.05965043]\n",
-      " [3.01153127]]\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkMAAAHFCAYAAADxOP3DAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9hAAAPYQGoP6dpAABS40lEQVR4nO3deVxU5eIG8GfYBtwwUFQEgdDAJTXXykjQtMXMJfNqaeive7PSTK1bequrttGe3tSrtmjdwkwFszLTEhRzuZjanmUXFRV3A5dEGd7fH9OMDLOdGeZsc57v58NH53DmzHvOmZnz8J53MQkhBIiIiIgMKkTtAhARERGpiWGIiIiIDI1hiIiIiAyNYYiIiIgMjWGIiIiIDI1hiIiIiAyNYYiIiIgMjWGIiIiIDI1hiIiIiAyNYYhU8e233+Kee+5BamoqoqKiEBUVhTZt2mDcuHHYvn27YuWYMWMGTCaTw7Lk5GSMGTNG1tfdvHkzZsyYgd9//71O2xkzZgySk5MDUiatOHToEGbMmIFdu3apXRTNKCwshMlkQmFhYcC2uXfvXgwYMAAxMTEwmUyYNGlSwLbtSnJyMkwmk/2nfv366NKlC+bMmYPaEyH4sr/B+Bkg5YWpXQAyngULFmDChAlIS0vDQw89hPbt28NkMuGnn37CkiVL0L17d+zZswepqamqlC8/Px+NGjWS9TU2b96MmTNnYsyYMWjcuLGsr6U3hw4dwsyZM5GcnIzOnTurXZygNXnyZGzbtg1vv/02mjdvjhYtWsj+mr169cLLL78MwHqeX331VTz44IOoqKjAP/7xD/t6Xbp0wZYtW9CuXTvZy0QEMAyRwr766is88MADGDBgAJYvX46IiAj77/r06YPx48dj2bJliIqK8ridc+fOoV69erKU8aqrrpJlu0Ra8v3336NHjx4YPHhwQLZnsVhQVVUFs9nsdp3GjRvj6quvtj++4YYb0KpVKyxYsMAhDDVq1MhhPSK58TYZKeq5555DaGgoFixY4BCEarrjjjsQHx9vfzxmzBg0aNAA3333Hfr374+GDRuib9++AIB169Zh0KBBSEhIQGRkJFq3bo1x48bh+PHjTtv99NNP0blzZ5jNZqSkpNj/Qq3N1W2yiooKPPLII0hJSUFERARatmyJSZMm4ezZsw7rmUwmTJgwAf/5z3/Qtm1b1KtXD506dcInn3xiX2fGjBn4+9//DgBISUmx3zbwdktg8eLFSEtLg9lsRtu2bfHuu++6XO/ChQt45plnkJ6eDrPZjKZNm2Ls2LE4duyYw3rr169HZmYmYmNjERUVhVatWuH222/HuXPn7OtUVlbiqaeeQtu2bREZGYnY2FhkZWVh8+bN9nWEEJg3bx46d+6MqKgoXHbZZRg2bBj+97//ObxeZmYmOnTogOLiYmRkZKBevXq4/PLL8fzzz6O6uhqA9fZI9+7dAQBjx461H5sZM2Z4PDaHDx/GuHHjkJCQgIiICKSkpGDmzJmoqqqyl/GWW25BbGws9u/fb3/euXPn0L59e7Rt29Z+Lvfs2YOxY8eiTZs2qFevHlq2bImBAwfiu+++c3hN262c3NxcPPbYY2jRogUaNGiAgQMH4siRIzh9+jTuvfdeNGnSBE2aNMHYsWNx5swZh23Y3i8LFizAFVdcAbPZjHbt2uGDDz7wuL8227dvx2233YaYmBhERkbiqquuwocffujxObZy79mzB5999pn9GO/duxcAsH//fowaNQpxcXH299orr7xiP0eA9RabyWTCiy++iGeeeQYpKSkwm80oKCiQVG6bRo0a4YorrsCRI0dclrH2Z0LqZ+DAgQMYNmwYGjZsiMaNG+Ouu+5CcXExTCYTFi9e7LCuP8eQgpAgUkhVVZWIiooS11xzjU/Py87OFuHh4SI5OVnk5OSIL7/8Unz++edCCCH+/e9/i5ycHLFq1SqxYcMG8c4774hOnTqJtLQ0ceHCBfs2vvjiCxEaGiquu+46kZeXJ5YtWya6d+8uWrVqJWp/DJKSkkR2drb98dmzZ0Xnzp1FkyZNxKuvviq++OILMXv2bBEdHS369Okjqqur7esCEMnJyaJHjx7iww8/FKtXrxaZmZkiLCxM/Pbbb0IIIUpLS8WDDz4oAIi8vDyxZcsWsWXLFlFeXu72GCxatEgAEIMGDRIff/yxeO+990Tr1q1FYmKiSEpKsq9nsVjETTfdJOrXry9mzpwp1q1bJ958803RsmVL0a5dO3Hu3DkhhBAlJSUiMjJS9OvXT6xcuVIUFhaK999/X4wePVqcOnVKCCHExYsXRVZWlggLCxOPPPKIWL16tVi1apX4xz/+IZYsWWJ/zb/97W8iPDxcPPzww2LNmjUiNzdXpKeni2bNmonDhw/b1+vdu7eIjY0Vbdq0EfPnzxfr1q0TDzzwgAAg3nnnHSGEEOXl5fZ9feKJJ+zHprS01O2xKSsrsx+HBQsWiC+++EI8/fTTwmw2izFjxtjXO378uEhISBA9e/a0vzeys7NFVFSU+Pbbb+3rbdiwQTz88MNi+fLlYsOGDSI/P18MHjxYREVFiZ9//tm+XkFBgQAgkpKSxJgxY8SaNWvE/PnzRYMGDURWVpbo16+feOSRR8TatWvFCy+8IEJDQ8WDDz7oUHYAIjExUbRr104sWbJErFq1Stx0000CgFi2bJnTaxUUFNiXrV+/XkRERIiMjAyxdOlSsWbNGjFmzBgBQCxatMjt8SovLxdbtmwRzZs3F7169bIf4/Pnz4ujR4+Kli1biqZNm4r58+eLNWvWiAkTJggA4v7777dvo6SkRAAQLVu2FFlZWWL58uVi7dq1oqSkxO3rJiUliQEDBjgsu3jxomjevLm48sorHZa72l+pn4EzZ86I1q1bi5iYGDF37lzx+eefi8mTJ4uUlBSnY+PvMaTgwzBEijl8+LAAIEaMGOH0u6qqKnHx4kX7T82AkZ2dLQCIt99+2+P2q6urxcWLF8W+ffsEAPHRRx/Zf9ezZ08RHx8v/vjjD/uyiooKERMT4zUM5eTkiJCQEFFcXOyw3vLlywUAsXr1avsyAKJZs2aioqLCYb9DQkJETk6OfdlLL70kAHi8eNhYLBYRHx8vunTp4nBc9u7dK8LDwx0uBEuWLBEAxIoVKxy2UVxcLACIefPmOZR9165dbl/33XffFQDEG2+84XadLVu2CADilVdecVheWloqoqKixKOPPmpf1rt3bwFAbNu2zWHddu3aiRtvvNGprFIvRuPGjRMNGjQQ+/btc1j+8ssvCwDihx9+sC/btGmTCAsLE5MmTRJvv/22ACDefPNNj9uvqqoSFy5cEG3atBGTJ0+2L7ddsAcOHOiw/qRJkwQAMXHiRIflgwcPFjExMQ7LAIioqCiH0FhVVSXS09NF69atnV6rZjhIT08XV111lbh48aLDNm+99VbRokULYbFYPO6Xq3AydepUl+fo/vvvFyaTSezevVsIcSkMpaamOvzR4e31brnlFvtnfN++ffYg/cknnzisW3t/ffkMzJ07VwAQn332mcM2x40b5/S+qusxpODB22SkCV27dkV4eLj955VXXnFa5/bbb3dadvToUdx3331ITExEWFgYwsPDkZSUBAD46aefAABnz55FcXExhg4disjISPtzGzZsiIEDB3ot2yeffIIOHTqgc+fOqKqqsv/ceOONLqvys7Ky0LBhQ/vjZs2aIS4uDvv27ZN0LGrbvXs3Dh06hDvvvNOh51tSUhKuvfZap7I2btwYAwcOdChr586d0bx5c3tZO3fujIiICNx777145513nG5pAcBnn32GyMhI/N///Z/bsn3yyScwmUwYNWqUw+s1b94cnTp1cjo2zZs3R48ePRyWdezY0e9jYytDVlYW4uPjHcpw8803AwA2bNhgX7dXr1549tlnMWvWLNx///0YNWoU7rnnHoftVVVV4bnnnkO7du0QERGBsLAwRERE4Ndff7W/p2q69dZbHR63bdsWADBgwACn5SdPnnS6Vda3b180a9bM/jg0NBR/+ctfsGfPHhw4cMDlPu/Zswc///wz7rrrLnuZbT+33HILysrKsHv3bo/HzZX169ejXbt2TudozJgxEEJg/fr1Dstvu+02hIeHS97+6tWr7Z/xpKQkvPHGG3j99dedjlVtvnwGNmzYgIYNG+Kmm25yWD5y5EiHx3IdQ9InhiFSTJMmTRAVFeXywpebm4vi4mKsWrXK5XPr1avn1MOruroa/fv3R15eHh599FF8+eWX+O9//4utW7cCAP744w8AwKlTp1BdXY3mzZs7bdfVstqOHDmCb7/91iGshYeHo2HDhhBCOLVPio2NddqG2Wy2l8dXJ06ccFvW2suOHDmC33//HREREU7lPXz4sL2sqamp+OKLLxAXF4fx48cjNTUVqampmD17tn1bx44dQ3x8PEJC3H9NHDlyBEIINGvWzOn1tm7dKvuxsZXh448/dnr99u3bA4BTGe666y5ERESgsrLS3narpilTpuDJJ5/E4MGD8fHHH2Pbtm0oLi5Gp06dXJYzJibG4bGtLZy75efPn3dY7um82s69q30GgEceecRpvx944AGX+y3FiRMnXPYqs7Xhq10eX3ugXXfddSguLsbWrVvxn//8B8nJyZgwYQI2bdrktVyAtM/AiRMnHMKlTe1lch1D0if2JiPFhIaGok+fPli7di3KysocvkhtXWhtjThrqz0WEGDtDfPNN99g8eLFyM7Oti/fs2ePw3qXXXYZTCYTDh8+7LQNV8tqs4W4t99+2+3v5WQLEFLK36RJE8TGxmLNmjUut1WzxiojIwMZGRmwWCzYvn07Xn/9dUyaNAnNmjXDiBEj0LRpU2zatAnV1dVuA1GTJk1gMplQVFTksheRp55FgdKkSRN07NgRzz77rMvf12yMb7FYcNddd+Gyyy6D2WzGPffcg6+++sqhMf97772Hu+++G88995zDdo4fPy7LMAiezqur8Ahces9NmzYNQ4cOdblOWlqaz2WJjY1FWVmZ0/JDhw45vK6Nq8+lJ9HR0ejWrRsAoGfPnujZsyc6deqEBx54ALt27XL7PvPlMxAbG4v//ve/XteT6xiSPrFmiBQ1bdo0WCwW3Hfffbh48WKdtmX7Iq59wV2wYIHD4/r166NHjx7Iy8tz+Kv89OnT+Pjjj72+zq233orffvsNsbGx6Natm9OPPwO+2cospUYkLS0NLVq0wJIlSxwGp9u3b59Dry5bWU+cOAGLxeKyrK6+3ENDQ9GzZ0/MnTsXALBjxw4AwM0334zz58879b6p/XpCCBw8eNDl61155ZVe9682X46NrQzff/89UlNTXZahZhiaPn06ioqK8P7772Pp0qX45ptvnGqHTCaT03vq008/xcGDB33eFym+/PJLh95UFosFS5cuRWpqKhISElw+Jy0tDW3atME333zjcp+7devmEHyl6tu3L3788Uf7e8Dm3XffhclkQlZWls/b9KRNmzZ49NFH8d1332Hp0qVu1/PlM9C7d2+cPn0an332mcPy2j305DqGpE+sGSJF9erVC3PnzsWDDz6ILl264N5770X79u0REhKCsrIyrFixAgAkDXqYnp6O1NRUTJ06FUIIxMTE4OOPP8a6deuc1n366adx0003oV+/fnj44YdhsVjwwgsvoH79+jh58qTH15k0aRJWrFiB66+/HpMnT0bHjh1RXV2N/fv3Y+3atXj44YfRs2dPn46DLSTMnj0b2dnZCA8PR1pamssv35CQEDz99NP461//iiFDhuBvf/sbfv/9d8yYMcPpFsGIESPw/vvv45ZbbsFDDz2EHj16IDw8HAcOHEBBQQEGDRqEIUOGYP78+Vi/fj0GDBiAVq1a4fz58/aarxtuuAGAtY3FokWLcN9992H37t3IyspCdXU1tm3bhrZt22LEiBHo1asX7r33XowdOxbbt2/H9ddfj/r166OsrAybNm3ClVdeifvvv9+nY2Mblfz9999H27Zt0aBBA8THxzuEmpqeeuoprFu3Dtdeey0mTpyItLQ0nD9/Hnv37sXq1asxf/58JCQkYN26dcjJycGTTz5pH5ohJycHjzzyCDIzMzFkyBAA1nC1ePFipKeno2PHjvj666/x0ksvuQ0mddWkSRP06dMHTz75JOrXr4958+bh559/9tq9fsGCBbj55ptx4403YsyYMWjZsiVOnjyJn376CTt27MCyZct8LsvkyZPx7rvvYsCAAXjqqaeQlJSETz/9FPPmzcP999+PK664wt/ddOuRRx7B/PnzMXPmTAwfPhyhoaFO6/jyGcjOzsZrr72GUaNG4ZlnnkHr1q3x2Wef4fPPP7dvy0aOY0g6pWLjbTKwXbt2ibFjx4qUlBRhNptFZGSkaN26tbj77rvFl19+6bBudna2qF+/vsvt/Pjjj6Jfv36iYcOG4rLLLhN33HGH2L9/vwAgpk+f7rDuqlWrRMeOHUVERIRo1aqVeP7558X06dO99iYTwtpd94knnhBpaWkiIiJCREdHiyuvvFJMnjzZoScQADF+/Hincrra5rRp00R8fLwICQlx6inkyptvvinatGkjIiIixBVXXCHefvttkZ2d7dCTRghrd+WXX35ZdOrUSURGRooGDRqI9PR0MW7cOPHrr78KIay9wIYMGSKSkpKE2WwWsbGxonfv3mLVqlUO2/rjjz/EP//5T/vrxsbGij59+ojNmzc7rPf222+Lnj17ivr164uoqCiRmpoq7r77brF9+3b7Or179xbt27d32i9X+7BkyRKRnp4uwsPDXZ7L2o4dOyYmTpwoUlJSRHh4uIiJiRFdu3YVjz/+uDhz5ow4dOiQiIuLE3369HHoIVRdXS0GDhwoGjdubO/Zd+rUKXHPPfeIuLg4Ua9ePXHdddeJoqIi0bt3b9G7d2/7c209nmp2gRfiUhfw2r0Pbe+1Y8eO2ZfZ3i/z5s0TqampIjw8XKSnp4v333/f4bmuepMJIcQ333wjhg8fLuLi4kR4eLho3ry56NOnj5g/f77H4yWE695kQgixb98+ceedd4rY2FgRHh4u0tLSxEsvveRw3Gy9yV566SWvr+Pt9YS41APMNsSCu/2V+hnYv3+/GDp0qGjQoIFo2LChuP3228Xq1audepkKUbdjSMHDJEStSWGIiEgRJpMJ48ePx5w5c9QuStB77rnn8MQTT2D//v2y1fKRfvE2GRERBRVbuExPT8fFixexfv16/Otf/8KoUaMYhMglhiEiIgoq9erVw2uvvYa9e/eisrISrVq1wmOPPYYnnnhC7aKRRvE2GRERERkau9YTERGRoTEMERERkaExDBEREZGhGaIBdXV1NQ4dOoSGDRv6PHw8ERERqUMIgdOnT3udJ7GuDBGGDh06hMTERLWLQURERH4oLS2VdVgEQ4Qh2xQHpaWlkqZ5ICIiIvVVVFQgMTFR9nniDBGGbLfGGjVqxDBERESkM3I3cWEDaiIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNNXD0MaNGzFw4EDEx8fDZDJh5cqVbtcdN24cTCYTZs2apVj5iIiIKLipHobOnj2LTp06Yc6cOR7XW7lyJbZt24b4+HiFSkZERERGEKZ2AW6++WbcfPPNHtc5ePAgJkyYgM8//xwDBgxQqGRERERkBKrXDHlTXV2N0aNH4+9//zvat2+vdnGIiIgoyKheM+TNCy+8gLCwMEycOFHycyorK1FZWWl/XFFRIUfRiIiIKAhoumbo66+/xuzZs7F48WKYTCbJz8vJyUF0dLT9JzExUcZSEhERkZ5pOgwVFRXh6NGjaNWqFcLCwhAWFoZ9+/bh4YcfRnJystvnTZs2DeXl5faf0tJS5QpNREREuqLp22SjR4/GDTfc4LDsxhtvxOjRozF27Fi3zzObzTCbzXIXj4iIiIKA6mHozJkz2LNnj/1xSUkJdu3ahZiYGLRq1QqxsbEO64eHh6N58+ZIS0tTuqhEREQUhFQPQ9u3b0dWVpb98ZQpUwAA2dnZWLx4sUqlIiIiIqNQPQxlZmZCCCF5/b1798pXGCIiIjIcTTegJiIiIpIbwxAREREZGsMQERERGRrDEBERERkawxAREREZGsMQERERGRrDEBERERkawxAREREZGsMQERERGRrDEBERERkawxAREREZGsMQERERGRrDEBERERkawxAREREZGsMQERERGRrDEBERERkawxAREREZGsMQERERGRrDEBERERkawxAREREZGsMQERERGRrDEBERERkawxAREREZGsMQERERGRrDEBERERkawxAREREZGsMQERERGRrDEBERERkawxAREREZGsMQERERGRrDEBERERkawxAREREZGsMQERERGRrDEBERERkawxAREREZGsMQERERGRrDEBERERkawxAREREZGsMQERERGZrqYWjjxo0YOHAg4uPjYTKZsHLlSvvvLl68iMceewxXXnkl6tevj/j4eNx99904dOiQegUmIiKioKJ6GDp79iw6deqEOXPmOP3u3Llz2LFjB5588kns2LEDeXl5+OWXX3DbbbepUFIiIiIKRiYhhFC7EDYmkwn5+fkYPHiw23WKi4vRo0cP7Nu3D61atZK03YqKCkRHR6O8vByNGjUKUGmJiIhITkpdv8Nk27JMysvLYTKZ0LhxY7frVFZWorKy0v64oqJCgZIRERGRHql+m8wX58+fx9SpU3HnnXd6TIg5OTmIjo62/yQmJipYSiIiItIT3YShixcvYsSIEaiursa8efM8rjtt2jSUl5fbf0pLSxUqJREREemNLm6TXbx4EcOHD0dJSQnWr1/v9b6h2WyG2WxWqHRERESkZ5oPQ7Yg9Ouvv6KgoACxsbFqF4mIiIiCiOph6MyZM9izZ4/9cUlJCXbt2oWYmBjEx8dj2LBh2LFjBz755BNYLBYcPnwYABATE4OIiAi1ik1ERERBQvWu9YWFhcjKynJanp2djRkzZiAlJcXl8woKCpCZmSnpNdi1noiISH8M07U+MzMTnvKYhoZBIiIioiCkm95kRERERHJgGCIiIiJDYxgiIiIiQ2MYIiIiIkNjGCIiIiJDYxgiIiIiQ1O9az0REZGhWCxAURFQVga0aAFkZAChoWqXSh0aORYMQ0RERErJywMeegg4cODSsoQEYPZsYOhQ9cqlBg0dC94mIyIiUkJeHjBsmOPFHwAOHrQuz8tTp1xq0NixUH06DiVwOg4iIlKVxQIkJztf/G1MJmutSElJ8N8y8+FYVJw9q8j1mzVDREREcisqcn/xBwAhgNJS63pqsFiAwkJgyRLrvxaLfK+lwWPBNkNERERyKysL7HqBpHTbHQ0eC9YMERERya1Fi8CuFyhqtN3R4LFgmyEiIiK52drJHDxovQ1UmxpthtRqx+TDsWCbISIiomARGmq97QRYL/Y12R7PmqVs42m12u5o8FgwDBERESlh6FBg+XKgZUvH5QkJ1uVKjzOkZtsdjR0LNqAmIiJSytChwKBBmhh1WfW2Oxo6FgxDRERESgoNBTIz1S4FcPy493USE60BRS4aORa8TUZERGQ0FgswebL39V55JfgHgQTDEBERkfF4azxt07Sp/GXRAIYhIiIio9HgwIdqYhgiIiIyGrUbT2sMwxAREZHRZGRYu7HXHufHxmSSv/G0hjAMERERGY0GBz5UE8MQERGRGpScKd4VjQ18qCaOM0RERKQ0pWeKd0dDAx+qiRO1EhERKck2U3zty6/t9lSgamUsFt2HHKWu37xNRkREpBSLxVoj5KoewrZs0qS63zLLy7PODJ+VBdx5p/Xf5GTrcldlUvN2nQYwDBERESlFiZnibTVPtV/n4EHr8pqByJfQFMQYhoiIiJQi92CHvtQ8+RKaghzDEBERkVLkHuxQas1TYaEyt+t0gmGIiIhIKXIPdii1RqmwUP7bdTrCMERERKQUuQc7DPT0GZybjIiIiAJOzsEOpdY8ZWZK255B5ibjOENERERqkGscIFvDaMCxTVDNcYwGDbL2Gjt40HW7IZPJGqpKSlQdm4jjDBEREQWz0FBrDc3IkdZ/AxU6pNQ8cW4yB6wZIiIiCkZSap5cTQuSmGgNQhqYm0yp6zfDEBFRXQXBtAdkYBp+/xrmNtnGjRsxcOBAxMfHw2QyYeXKlQ6/F0JgxowZiI+PR1RUFDIzM/HDDz+oU1gioto4gq9nnOpB++S6Xacjqoehs2fPolOnTpgzZ47L37/44ot49dVXMWfOHBQXF6N58+bo168fTp8+rXBJiYhq4Qi+njEoahMDqjOhIQBEfn6+/XF1dbVo3ry5eP755+3Lzp8/L6Kjo8X8+fMlb7e8vFwAEOXl5YEsLhEZWVWVEAkJQlj74jj/mExCJCZa1zOiFSusx8DVcTGZrL8n5a1Y4fy+TUjQxPlYPX2raBP2P/GvIetFtaVaCKHc9Vv1miFPSkpKcPjwYfTv39++zGw2o3fv3ti8ebPb51VWVqKiosLhh4gooJSYcFOvlJqZnXyjsZrM30tOIdx0ESaTtQPbLTN74teqFEzMz8L+LQcVLYumw9Dhw4cBAM2aNXNY3qxZM/vvXMnJyUF0dLT9JzExUdZyEpEByT3hpp4xKGqPRgLqlzn/tYefyy6/DFUId1pnQqeNaHVNSxfPlo+mw5CNqdYYCEIIp2U1TZs2DeXl5faf0tJSuYtIREYj94SbehYsQTGY2taoFVCFwL1tCuwB6IZ/9HC76v7/HoYQwOu7rocpxP01Xg5hir6aj5o3bw7AWkPUosYXytGjR51qi2oym80wm82yl4+IDMw27YG3EXz9nXBTz4IhKLoafychwTpQoQbG3/GZggH1xO7jaJLe5M9HJgBZLtdrGnIcJUfqo36TqD+XNK/za/tL0zVDKSkpaN68OdatW2dfduHCBWzYsAHXXnutiiUjIsPjCL7uyT0zu9w01rYmIGQOqANjvrLX/lwKQs4e773J3nL7qKVJjSCkLtXD0JkzZ7Br1y7s2rULgLXR9K5du7B//36YTCZMmjQJzz33HPLz8/H9999jzJgxqFevHu688051C05EJOeEm3qm56CokbY1ARfggCos1fbwYzIBn5zq5Xbd4vd/sQegZwqv86f0slN9BOrCwkJkZTlXoWVnZ2Px4sUQQmDmzJlYsGABTp06hZ49e2Lu3Lno0KGD5NfgCNREJCsNj+CrKo1P9eBSYaF1PCRvCgqcZ37X+vvA2wSuM2YAbdq4LfuGF7ch87Gekl7q3KlKRDWue3MVTscRQAxDREQq0XpAqG3JEusAkd7k5lpHbLbRSxsjV+WMjbX+e+LEpWV/lr3Z7b1wFO7b6NqEwAJLQeDPM8NQADEMERGRJP7UDNlqXGpfTm01LrZbploJhjXL8euvwPTpTqtUw1r2YViOfLgOc88P2oLHVl7jOmA1bQrMm3epJspPDEMBxDBERKQzagUHi8U6ZYi3XoIlJdby2NZ3123dtv4rrwBTpmir5ujPsosDB+CqJVE1TDiABKSgBNWwHvujv5ajaevoSyu5C4I2f/878OKLfhfRMBO1EhEROVBzTjNfG39LHb9n+HBN9U4zmYDMMGvZ3Y3oEwKBViiFpaDI3gDaIQh5amxu89JLwLJlAS27HBiGiIhIO7TQrd2XXoJ1GZdHwd5plSfOOPT+AoAWqOPYQ96CoM348ZrvfccwRERE8pMymrOWurUPHQrs3WttG5Sba/23pMT5llZdB46UcWqSWxsX2cNPZJMGTr8vQx3HHpIaBI8d0/zUK5oegZqIiIKA1J5WvkwZUbtbuxxCQ72/jreRyKUK0NQkjnf2PI8ZVFiVASTXYRR1X4KgxqdeYc0QERHJx5fbXnqc00xKGyMp/KxhOr33hNPtL3eahx2zt/0RAnUfHDMjw9prTAotT70ChiEiIpKLr7e99Dqnmac2RsuWBXxqktSQ/9nDT6OUWI/rHvrhlD38lF10EVzqMop6aKi1+7w3Wp565U/sWk9ERPLwdcweX7u1a4274QC8jfwsYeoWXyqZ/Lqq12Uog0cftfYac8VkqtPUNOxaT0RE+ubrbS89z2kGXGpjNHKk9V9bOf2ofTn2zSHJt79SzAcdb39546oxu7uyS/Hii8CHHwJNak3Qmpiomzn6WDNERNqmlVF7yXf+zvOlxznNpPDyXjabKnEB0ubzOrHvDGJaOfcQ80rOaUNk+KxyBOoAYhgi0im9zPdErtXltpdBQnDtWp8QWJCBIrRAGcrQAkXIsI/+XOertdRpQzSEYSiAGIaIdEiHX9zkQgDaywST31bvRusBaS5/NwR5mI2HkAiZam2kTBuisfZYbDNERMalpcH3qG7q0lspSNRs++MpCC3HMCRAppG3fRnDyYAYhohIe/jFHVykjuYcRKQ2fgYAUWVBXsJDCIFwnicsUOFfj2M4KYhhiIi0h1/cwacuvZWUImXKEDd2vLlDcgBqV2+vY+8vJcK/XsdwUgin4yAi7eEXNynNj8b6jqGni8fNnz9TBXN92yU32fGX/oR/XxuYe5s2xNvUG/6+rk6wZoiItMf2xR3AUXuJ3PJhyhCfbn/VqP25FIRc8DX85+VZG0NnZQF33mn9NznZc7uiQIzh5M/r6gTDEBFpj94H3yP98NJYXwiB/bdPQqjJ4jUAXRfzg2+DH9r4Ev59meuttro0Zq/L6+oAu9YTkXYF6+B7pB0SB4bMRAE2INNpedVFgdAwH+bKcEfKEASDBgWme7yvt7pU7Jav1PWbbYaISLuGDrVeAIKwjQJphMT2Oi1waT3HKoQABCHgUq2Nq3ZLtvBfWCi9oXXNEb1rszVml8qXBt6+bFdDGIaISNt8/eImkuCDe9dj5Bt90BstUChh/SUFLbAkU+ZCeQv/avWyNEDvToYhIiIyBMcmOX0AAEXIQCkS0BIHEQIfe1nJ0bPKU/hXq5elAXp3sgE1EZE/6jAmDSnHW++vaoTiIfjRWF+NnlVq9bI0QO9OhiEiIl8peSFk6PLJ67etk9z9fVynrRACyBNDEbLCh15WavWsqtnL0h05elkaoHcne5MREflCyQlk/RgI0IikjPlj4/GKJ+W2lxYmPH30UeDVVx2DcWgoMGUK8OKL8rwmoErvTs5aH0AMQ0QUEEpeCJUMXToUsADkK4ld8VFQIE/Df7XfFwqPQM1Z64mItEapCWS9DAQIwPPEnUF4a+2Rzl9Ivv01o99X/g1+KIWaPavq+r4IBD3MMecH9iYjIpJKqQthXcZ1CaJba46h5waP6zrmg14ylOZPavasMsB4P2phzRARkVRKXQj9DV16nzJBCK+1PyGwoDcKMQJLIAoKIaosga/98UTNnlXBPt6PijWaDENEWhWEtzo0oS7HVakLoT+hSwu3UNzxcMxHJmy8FIBCPN//+qTXc7AkJKMQWVgClSYKVbNnVTCP9+Ouh+aqVcq8vjCA8vJyAUCUl5erXRQiaVasECIhoWazB+vjFSvULpm+BeK4rlghhMlk/am5HduyQJyjqipruWq/Rs3XSky0rmdTUOB63do/BQV1L58vXBzz/UgQQ7BCUnEdtuPqeATyuNdxv0Riorzl8Od9oQcezm05oMj1m2GISGu09qUfLAJ5XJW4EPoaut57T1oYys0NXBkl7kN1rTJYYBIWmNwGIie2EOBun9QKAVVV1nCZm2v9V4nXVyKMK8nLuWUYCiCGIdINrX7p650cx1WJC6HU0LVihRBNm2qqZujmxl+J/UgQFjflsMAk9iFRhKBK5E7+r+eNabXWSy1q1ErJxcu5VSoMsTcZkZawt4g85DiuSkwg623iTsD9uDO1eZpjK0BqNqHpjQtIhPtjHgKBViiFpUDCMQ/2hsO+kvK+UIM/YxBp5JwxDBFpCb/05aHn4+opdHlqNO1KgBv2Vv1xEeH1wl3+rgUCeMyDueGwv5QI477wd0gHjZwz9iYj0hIjfOmr0UsuWI+rtxovm6ZNfRuZ2MM5ijWdsPf+cheEAKAMATzmBpgoVNfqMqSDt3OrEIYhIi0J9i99NWb6BoL3uEqtyXrtNelByMU5Kg1LxlBTHkwm4CRiPT7d1tijsCqAx1xKd/a//hX48EMOQ6G0ug7pIOXcKkDzYaiqqgpPPPEEUlJSEBUVhcsvvxxPPfUUqqur1S4aUeAF8+zQag4IGKzHVWpNVu3Z2N358xyJWueoJQ5iOYZhCBzPkW0ARJF7aQBEu0Af86FDrbVbtfclJsb6M326sgGbrAIxRY27c5uQAPznP4EppzeyNs8OgGeeeUbExsaKTz75RJSUlIhly5aJBg0aiFmzZkneBnuTke5oubeIP72otNJLTsvH1R8BHHcmDJWSe39tXfSj9DGbAn3Ma77/Zs50v9967GauR7m5gRvSwcV3i1LXb83PWn/rrbeiWbNmeOutt+zLbr/9dtSrVw//kZgYOWs96ZLCs0NL4m8jSbVn+q5Ji8e1Lmw1boDjrQoJs5g79v4qRCEknqOTJ32bOd3dMa/LubBYrDVA7molbL3nSkr0fX61TubPtmLXb1mjVgDk5OSIpKQksXv3biGEELt27RJxcXEi14eBw1gzRBQAdRm0MJB/PZIzibUvJ3876fbQj4DEc/Tee4Gp5avraOAce0gbZB4VW6nrt+a71j/22GMoLy9Heno6QkNDYbFY8Oyzz2LkyJFun1NZWYnKykr744qKCiWKShS8vDWSNJmsjSQHDXL9V3iw9ubSCg/jzjg217nM7SYk9/46dqzuYza5GxvJ1n5MSs83PQ+XEExsbcOGDbN+D7iqndRBezzNN6BeunQp3nvvPeTm5mLHjh1455138PLLL+Odd95x+5ycnBxER0fbfxITExUsMVEQqmsjyWDtzaUltnFnRo6EKSsTprDaQcg1n3t/NW0qrTzuQkigJpRlwNYOTw2gfRnSQUWaD0N///vfMXXqVIwYMQJXXnklRo8ejcmTJyMnJ8ftc6ZNm4by8nL7T2lpqYIlJgpCdf0rPFh7c2nEvk2ll2Z+9yEAOeQRqedIas80dyEkEL2PAAZsrRk6FNi719o2KDfX+m9JiS6CEKCDMHTu3DmEhDgWMzQ01GPXerPZjEaNGjn8EJEH3gZCDMRf4UHw16OW1Aw/yRmea78PbD/sOgDVJuUcSRkkLzQUOH7c9e8CdXuLAVt7atROIjNTX8de1hZJAZCdnS1atmxp71qfl5cnmjRpIh599FHJ22ADaiIPpDRkDWQjSTVm+tYDCcdFSnth24+sZXHXmL72e8JVY+hAN3wOtuESyAG71v/p9OnTePLJJ5Gfn4+jR48iPj4eI0eOxD//+U9ERERI2ga71hO54a4hq6su0nXowk1euBmyYN/Ix5D80gTJm1H023zZMmsNgLu2Pe66ttu6xB886LrA/nSJD7bhEshOqeu35sNQIDAMEbngzzgtri7aiYnW2xEMQv5xE0irYQ2Zw7Ac+XB9bI//chKxbWJkL6JLdRlf5tFHgZdecr2+ycRgTXZKXb8137WeiGTiS0NW28XMQxdu8sOfPauqhXBqwBkCgWqYMAuT8BEGoRrWY+yYmXwIQoGuPfG37U9eHvDyy+7Xf+QRBiFSnOYbUBORTPy9mNW1kaQas9YHWh33oWjutzCZgMwwayB190UcAoFWKIWloMh742dP5Jgg159G9Z661dt88IE+3xOkaz7VDJWWlnLMHqJgocY4Lf5O56Gm2jUqx48Dkyf7vA+OHZ46AgBaQIGBAwMxwCHgfByuvda6397a/tTs2u6tNhLwPmAjkQx8qhlKT0/Hk08+ibNnz8pVHiJSitLjtKg5a72/XNWo3HGH5H3wNvaP5FGf/Q2kgRrg0NVxSE211g4C0ru2c9Ro0iifwtC6deuwdu1atGnTBosWLZKrTESkBCXHaQnURVlJ7sKbK3/uw7kxDyDUZJE0+KEJ1dJHffY3kAZigENPIfbll61tfKSOHcVRo/UhGG5l+8qf/vjvvPOOSEhIEJ07dxYFOpgEj+MMEXmgxDgteptU0zauki8D+/z50xsFbn998dwF59eyjdlTe9weKRPgelPXCXK9HQfb+FKVldLGjpJ5Uk8KgLpOoBtgSl2//WpAfffdd+OXX37BwIEDMWDAAAwZMgR79uwJbEojImUoMYy+3m6PSGnb4kbtdkA1ryphUeHOT5BzZO661sRIrVnavFlao3qOGq1teryVHSB+9yYTQqB///649957sWrVKnTo0AEPP/wwTp8+HcjyERmPGlXUcg+jr5XbI1KPbR1CWUiISdrUFzXJFUjr2i5MjhDLaVm0SY+3sgPIp95k8+fPR3FxMYqLi/HTTz8hNDQUHTt2xPjx49G5c2e8//77aNeuHfLz89GtWze5ykwUvLTQ20qO0XxtF2Vfeh4Fmi/H1p9Q9uc+vF9yh3/lswXSQLLVxAwbZi2fq5HDPdXEyBViOV6V9vgz7lgw8eWeWkJCghg2bJh4+eWXxaZNm8T58+ed1nn22WdF+/btA3UbLyDYZoh0wd18T4FoO+JLGeRqLyBn2xipr+3l2NoWh6BK7EeCsMB125ZqNc+RP/xtF8Y2PsZR1/ZlMlHq+u1XA2pPDh8+LEJCQgK92TphGCLNk9pQVc6LjhJhTI1JNb0cWwtMYh8SRQiqHH41BCuEBSa3gUjRfQgEfyfIVTPEknI02slBtxO1CiGwceNG9O7dO5CbrRPOTUaaV5d5ngLBn3nK6vJaSt4ekXhsM1GADch0WCZWuJmL7ZVXgKZNjXOLh3PSBT85JtANAN3OTWYymTQVhIh0Qe3eVkq2F5CjbYwnEo+ZrReY43WAbVsAsI2PEdS1fZnOcaJWIi1Qu7eV2mEswO7tsBlv/HAtAKA3WqBQwnOWFLTAkkwXv1A6vGkVj0Pws/X0c9XRIMhrARmGiLRA7d5WaoexAHDsPX6t/X9FyEApEtASBxEClXqyEemFQWsBGYaItEDtKmq1w1hNPrQp8jblBQBUIxQPYTbyTMMAGK/6n8hnBqwF9HvQRSIKMDUHo9PKyMCuJgRNTraPfNs79nuvk5/aTL92nb0LTJ7gQH9E5F7Ae5NpEXuTka4o3duqJjV7DdmmAqj1lVQNa+oZhuXIh+cyeP02U/PYEpHPlLp+MwwRaZ3SF3BXrwfIWwYvXfurYcIBJCAFJaiG4+sG/zcYkXHptms9EQWQq5qali2Be+8F2rSRJ5jUbi+gwBQhg8I/xUfCfdf+EAi0QikyUITbB17Eg6v6BeR1iYgAhiEi7XJz2wgHDwLTp196LOfcZZ7KMGxYndrb1GzzMwJnJT2nMLfMOpksaQ9vQZKOsQE1kSdqzCBve113M0jXZgsmfzYyVqQMfsxiXXWh2m3j5zLov2u/oXlp+E6kdQxDRO6o+QXvbUTomvwIJgEpQ81Rqd2oGX7Cze6/boqQgbP1m7rvImYyWRtyG3UsIH9DuRJh3lZ7WPu9IldIJ5IBwxCRK2p/wfs60rOEYCJbGWqtJ7XrO3Bp9keLCEX9d+df2kDtDQLuu/arVXunFH9DuRJhPsC1h0RqYRgiqs1isTZQVvML3t/bQYGcLkNiGc43iPUrADkdXn/GWQr22zP+hnKlwnwAag+JtIBhiKi2Z58FTpxw/3slvuBtI0JLSRc1BbJNjZcyVMOE/UhE/dv6etzMl89scR+Aahs6FNi7FygoAHJzrf+WlLgPQsF8e8bfWhcla2uCbE47Mi6GIaKaLJZLIzF7I+cXvKcRoV2Ro02NhzLYBkKchFlO4/4AjrU/fR6/xvfXzcy09hrLzHR/ayzYb8/4W+uiZG1NEMxpRwQwDBE5KioCTp6Utq7cX/DubhvVJtN0GSf3n4Hp9qEYKpajVDiW4QASnEaEllz7EwhGuD3jb62LkrU13mowjd7wnXSDYYioJqkXiNhYZb7ga982mjnTevGpKYDza9Vs+xOb1AAAkI+hSMZeZKIAI5GLTBQgBSX456LLlQ1ANRnh9oy/tS5K1tZoZU47ojrioItENUm9QEycqNwXfO0RoR9/PKCD20md+X0DMmuFns5+v2adGeH2jK3W5eBB12nTZLL+vnYo9/Y8wPXz/GWrwXQ1SrkSc9oRBQDnJiOqyTZHlqcLSWwscOSIbv/aPfT9SbS8Mkby+pr8hvB2nmxBoaREt+cJwKVG4oDjftoSrKdedq6eZxMbCyxcGNigwhGoSQZKXb95m4yoJikNlxcu1N2XfM3bX96C0N71/1Pv9pdURrk9489wAzWfF+PmXJ88Gfged1IavhNpFGuGiFxxNTlpYuKlan8d/BXsS698j98CWt5Xb+cpWPhzDmy1Z+4amgdL7RkFNaWu3wxDRO64uwApMIu7P37ZUIa0TOltZCR98jW6rw60HNbUVFhoHYTSm4ICxzZpRBqi1PWbDaiJ3KndcBmQdRZ3fzjW/ngOQie+L0NMex8aFCuxr4EIMq7OE8nT447Bk4IU2wwRSaWRgf78nfrCpyCkxL4G+1Qaagt0jzueLwpiDEOkLj1NsqnSQH/FH5YEZu4vX8i9r8E+lYYWBHJARJ4vCnIMQ6Qevf2lqeBAfzXDT4+/pHhc9+yBU4Hv/SXnvmqkhi3oBarHHc8XGQDDEKlDj39pyjzQn7+1P/VaXubX63kk574aYSoNrfC3a35NPF9kALoIQwcPHsSoUaMQGxuLevXqoXPnzvj666/VLhb5S69/aQZ4Hqa1//pZcgBqgmPKjv0j55xTRphKQ0tqT+lSUGDtTi+18TvPFxmA5nuTnTp1Cr169UJWVhY+++wzxMXF4bfffkPjxo2VLQh7UQSOL39paqmXkO22w7Bh1jDgakRgL7cdHLNFuseXu1D+B8IbRf35qKk/JfZfAPbVLSNMpaE1delxx/NFBqD5mqEXXngBiYmJWLRoEXr06IHk5GT07dsXqampyhVCb21btE7Pf2n6cdvB39tfl4KQSgJxi8UVznSuLzxfZACaD0OrVq1Ct27dcMcddyAuLg5XXXUV3njjDY/PqaysREVFhcOP39y1bTlwALj9dv0HIjV6c+n9L00vtx2WPfmt5ADULXyXtqe+qOstFleMMpVGsOD5IiMQGmc2m4XZbBbTpk0TO3bsEPPnzxeRkZHinXfecfuc6dOnCwBOP+Xl5b69eFWVEAkJNa9Vzj+xsdb19GjFCuf9S0iwLpeTlOMKCLFsmbzlCCBvu1Lzx1J5Ue3iaoOr919iovzvP/IPzxepoLy83L/rt480Px1HREQEunXrhs2bN9uXTZw4EcXFxdiyZYvL51RWVqKystL+uKKiAomJib4P5y11OPuZM4F//lP6drXA3ejC3mbDDpRly4Dhwz2vk5io6XmTAjb3l5GxLZ6+8HyRwjhr/Z9atGiBdu3aOSxr27Yt9u/f7/Y5ZrMZjRo1cvjxi9Q2K//6l/Z6Pnmihd5cTSU0CNZYd93/TNkp+fbXyLgvtX37Sys407m+8HxRkNJ8b7JevXph9+7dDst++eUXJCUlyf/iUtusnDihvZ5PnmihN5dOGlE7hp6rEAILMlCEFihDGVqgCBmohvWCIKpFjSf0VbqoRETkJ83XDE2ePBlbt27Fc889hz179iA3NxcLFy7E+PHj5X/xjAwgJkbaulrs+eSOFoKIhhtRu6v9GYI87EUyCpGFJbgThciCJSEZYkWetfbHl/tmRESkGZoPQ927d0d+fj6WLFmCDh064Omnn8asWbNw1113yf/ioaHW20lSaLXnkytaCCIa6q776p3bvd7+GoI8LMcwJEBHI2YTEZEkmm9AHQh1aoBlsQDNmllvhbliMlkv6hpu6OvEYrGOk3TwoOsGLUrtk60RN+B6UD8ZG3H71Pi56s/j5e7Woh7fA0REOsAG1EryNNZOaCiwcKHrq6dex9jQyrghcg3q54bfM79zbiYioqDGMCRldGnbRTshwfG5Ml20FaFwEPFYjroO6ucmzE7tWyw5AM2/bbX73l9aaGNFRESyMfZtMl/H2lFyjA2lXkvv44bk5VnbddWouSlFAh7CbOTDc6CS/M6XOt5UQYF+ehQSEemAUrfJjBuGLBpuB+LiAo+EBOutLT3WQsklLw9i2DAIIRyqOKthDbPDsNwpEPn1bvfWxgqwjpv02mvWmja9BUpA/6GYiIIS2wzJTavtQNzNhcZeS3YP9NyOUJMFpbc/5BSEACAE1sAyC5Ow7J7P6j74oac2VjbHjgGjRulzEl9ORExEBmfcMKTFdiBaGBlao2q2/fn3f7shA0VIxAG3b+AQCLRCKYaNCtDM7+7aWLlSO7iqMRmuVAzfREQGDkNaGGunNq3WVqmg2iI8Nn5uARXCbM3G3u+9535KkZrBddky7da6MHwTEQEwchjS0KB/dlqsrVLQoMu/s4ef0DDP3b+m/d9RaRsNdJi1zc3UsqX11pg7tuA6fLh2a118Cd9art0iIqoj44YhrYy1U5MWa6tkVrP2Z1XJlR7Xrdn2p+PCCeqG2boEUq3Uukjdh48+0m7tFhFRABg3DAHaGWvHRou1VQF24Xy1/4Mf1qR2mK1rINXCLU+p+zBrlnZrt4iIAsDYYQgIzKB/gaL2BV4mgy7/1h5+zFGe33I7FxZL7/2lZpj1FlylUvOWp5Tw7e695kvtFm+xEZHGGXecIS1zNc5QYqI1COlknCGf5v6q6ztQrTFyPM2tJnWn1B6oUe594JhZRFQHHGfIyLRUWyXRuYqqwNz+8oetUfPIkdZ/lao581QztWyZPm55etqHSZOkbcNd7Ra77RORTrBmiPzWM3YP/nuytaR19675GUk3pstcIpW4q5nyVOsCaGteO9utrMJC62NbTc8NN3h/rquaIS2P8E5EusHpOAKIYShwFL39FQz0csvT3e2sP/4ATp50fTI9BRrO50ZEAaDU9TtMti1TUDhVdh4x8ZGS1q2Hszgr6stcIp0ZOhQYNEjb8365m7C45lxstdsQeWvQb/Axs4hIXxiGyEmryCMorWz25yPPQejItr2I65H85yMGIZdsbZq0yNso1CYTEBMDREZaw5FNQoLn2i0DjplFRPrFMEQAat/+auZuNQC1r5vJgS8MKUfKKNQnTgBffGENdVJrt2zd9mvWLtVku8WmdgNyIiIwDPlGrS7cMjhWcgZxlzeQtG4b/IJfxBUyl4hUIfU21dGj1t56UtnGzBo2zPdbbERECmPXeqny8nQ/JUFa/QP2ru/eglD5L0fsXd8ZhIKYnLeztDbCOxGRG+xNJoW7BqZa7CJdC3t/kUe2LvDebmfVpQt8ENWoEpGyOOiiVnhrYAqoP+FmDaXf/S558MPRTdcEdvBD0h8lpoBRa1BMIiKJGIa8kdLAVOUJNxuGnrWHn1YdG3tc9/yRcnv4effoTcoUkLSNt7OIyODYgNobjY6X4vhHvOcu7Y61PtEylIZ0Tw/jIRERyYQ1Q95oZLyU3UVHJd/+mpy6ire/yHe8nUVEBsWaIW9UHC/l8qgylJy3haw4j+tWVZxDaMN6fz66LeBlISIiClasGfJGiQamtTZp+7kUhFyrWftzKQgRERGRLxiGpJCxgemvX0m//fVs95W8/UVERBRgHGfIFwEaL+W6uN346liapHWrL1TBFM67mUREZDyctV6L6jDhpmOtj+cg5BhPeYqIiIjkxNtkFgtQWAgsWWL9N0CDJ/64/rDk21+rJqzl7S8iIiKVGLvaIS/POrp0zUEVExKsDab9aAfUtkEpfj6b+Oej5h7XFZZqIMSWRfv7/Fq6wukYiIhIw4wbhtzNN3bwoHW5xIbRjrU+ie5WgxnncV5E1lgSJJVy3oJOgAMnERFRoAXJFVmioiLr7bAvvwQmTvRrvrGvPyqVfPtr8wtF9ltfjkEoSOTlWSf5zMoC7rzT+m9ysnW57ffDhjlPZ2ILnLb1iIiIVGSs3mQAfGqLXlAAZGZiWOtdWPFbZ0lPEdXCt6ni9cpdzZpt35cuBaZMcT+vWyBmQycioqDGWes1YGRWGUwmeAxCLXHAsfGzEYKQxWK99eWpZm38eM1PcEtERAQwDHlUBtcjQO+cv80efg6IBIVLpQFFRd6DzrFj0ral8AS3REREtRm3AbUH1TDhABJQhEvzjTlWgvSUvxBa7oEVyAAT53nONSIiIrnprmYoJycHJpMJkyZNkmX71bDe5trWehQsIlSdsX+8NUxWWwvPc6YRERHpia7CUHFxMRYuXIiOHTvK9hohiQkIWbEcd/z6nGyv4ZEeemBlZFgbP7trH2UyATEx0rZ19GjgykVEROQH3YShM2fO4K677sIbb7yByy67LCDbFAAQGwt88QWQm2vtPVZSot74N1IaJrvp8q+o0FDrOEGAcyCyPX7oIWnbYi0TERGpTDdhaPz48RgwYABuuOEGr+tWVlaioqLC4ccVEwCcOAGUlwMjR1rnHVOzXY6Uhsla6YE1dKh1YMqWLR2XJyRYlz/+uPfao8REay0TERGRinQRhj744APs2LEDOTk5ktbPyclBdHS0/Scx0f3I0ACAe+9Vv7YFkN4wWSs9sIYOBfbutdao1a5Zk1J7NGuWdhqFExGRYWk+DJWWluKhhx7Ce++9h8hIaaM4T5s2DeXl5faf0tJSz084cQJ49tkAlLaOpN4y0tKtpdBQa42aq5o1b7VHnI6DiIg0QPMjUK9cuRJDhgxBaI2LrMVigclkQkhICCorKx1+54qkEahjY4EjR9StqbBYrL3GDh503W5Ir6M2a3mYACIi0iylRqDW/DhDffv2xXfffeewbOzYsUhPT8djjz3mNQhJduKE9YKdmRmY7fnDdmtp2DBr8KkZiPR8a8lWe0RERKRBmg9DDRs2RIcOHRyW1a9fH7GxsU7L60zJtjjuaktst5ZczfQ+axZvLREREQWY5sOQopRqi5OX5zrszJ5tDTtDhwKDBvHWEhERkQI032YoELy2GVKyLY632d7ZsJiIiAgAZ61XjpJtcfQyqCIREZGBMAy1bKlcbYyeBlUkIiIyCLYZWrwY6NtXmdfS26CKREREBsCaISUnCtXjoIpERERBjmFIyeAhZbZ3ztdFRESkKOOGITWCB+frIiIi0hxjhiE1gwfn6yIiItIUY44zlJio/mjOnK+LiIjII85NJoc33wRSU7URPDhfFxERkSYYKwzdcQcgY7IkIiIi/TFWGJKKt7CIiIgMg2GoNm+TqKqB4YyIiEg2xuxN5o5tEtXaU2YcPGhdnpenTpmSk4GsLODOO63/JierUxYiIqIgxDBko8VJVLUYzoiIiIIMw5CN1iZR1WI4IyIiCkIMQzZam0RVa+GMiIgoSLEBtY3WJlFVKpyxcTYRERkca4ZstDaJqhLhjI2ziYiIGIbstDaJqtzhjI2ziYiIADAMOdLSJKpyhjM2ziYiIrJjGKpt6FBg716goADIzbX+W1KizoCLcoUzNs4mIiKyYwNqV7Q0ierQocCgQYFt5Ky1nnNEREQqYhjSg0CHM631nCMiIlIRb5MZkdZ6zhEREamIYciItNZzjoiISEUMQ0alpZ5zREREKmKbISOTo3E2ERGRzjAMGZ2Wes75g9OJEBFRHTEMkX7l5VkHj6w5ZlJCgrU9FG/zERGRRGwzRPrE6USIiChAGIZIfzidCBERBRDDEOkPpxMhIqIAYhgi/eF0IkREFEAMQ6Q/nE6EiIgCiGGI9IfTiRARUQAxDJH+cDoRIiIKIIYh0idOJ0JERAHCQRdJvzidCBERBYDma4ZycnLQvXt3NGzYEHFxcRg8eDB2796tdrFIK2zTiYwcaf2XQYiIiHyk+TC0YcMGjB8/Hlu3bsW6detQVVWF/v374+zZs2oXjYiIiIKASQhXw/hq17FjxxAXF4cNGzbg+uuvl/SciooKREdHo7y8HI0aNZK5hERERBQISl2/dddmqLy8HAAQExPjdp3KykpUVlbaH1dUVMheLiIiItInzd8mq0kIgSlTpuC6665Dhw4d3K6Xk5OD6Oho+09iYqKCpSQiIiI90dVtsvHjx+PTTz/Fpk2bkJCQ4HY9VzVDiYmJvE1GRESkI7xNVsuDDz6IVatWYePGjR6DEACYzWaYzWaFSkZERER6pvkwJITAgw8+iPz8fBQWFiIlJUXtIhEREVEQ0XwYGj9+PHJzc/HRRx+hYcOGOHz4MAAgOjoaUVFRKpeOiIiI9E7zbYZMbibjXLRoEcaMGSNpG+xaT0REpD9sM/QnjWc1IiIi0jldda0nIiIiCjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI03YShefPmISUlBZGRkejatSuKiorULhIREREFAV2EoaVLl2LSpEl4/PHHsXPnTmRkZODmm2/G/v371S4aERER6ZxJCCHULoQ3PXv2RJcuXfDvf//bvqxt27YYPHgwcnJyvD6/oqIC0dHRKC8vR6NGjeQsKhEREQWIUtdvzdcMXbhwAV9//TX69+/vsLx///7YvHmzSqUiIiKiYBGmdgG8OX78OCwWC5o1a+awvFmzZjh8+LDL51RWVqKystL+uLy8HIA1YRIREZE+2K7bct/E0nwYsjGZTA6PhRBOy2xycnIwc+ZMp+WJiYmylI2IiIjkc+LECURHR8u2fc2HoSZNmiA0NNSpFujo0aNOtUU206ZNw5QpU+yPf//9dyQlJWH//v2yHkytqaioQGJiIkpLSw3VVor7zf02Au4399sIysvL0apVK8TExMj6OpoPQxEREejatSvWrVuHIUOG2JevW7cOgwYNcvkcs9kMs9nstDw6OtpQbyKbRo0acb8NhPttLNxvYzHqfoeEyNvEWfNhCACmTJmC0aNHo1u3brjmmmuwcOFC7N+/H/fdd5/aRSMiIiKd00UY+stf/oITJ07gqaeeQllZGTp06IDVq1cjKSlJ7aIRERGRzukiDAHAAw88gAceeMCv55rNZkyfPt3lrbNgxv3mfhsB95v7bQTcb3n3WxeDLhIRERHJRfODLhIRERHJiWGIiIiIDI1hiIiIiAyNYYiIiIgMTZdhaN68eUhJSUFkZCS6du2KoqIij+tv2LABXbt2RWRkJC6//HLMnz/faZ0VK1agXbt2MJvNaNeuHfLz8+Uqvt982e+8vDz069cPTZs2RaNGjXDNNdfg888/d1hn8eLFMJlMTj/nz5+Xe1d84st+FxYWutynn3/+2WG9YDvfY8aMcbnf7du3t6+jh/O9ceNGDBw4EPHx8TCZTFi5cqXX5wTD59vX/Q6Wz7ev+x0sn29f9ztYPt85OTno3r07GjZsiLi4OAwePBi7d+/2+jwlPuO6C0NLly7FpEmT8Pjjj2Pnzp3IyMjAzTffjP3797tcv6SkBLfccgsyMjKwc+dO/OMf/8DEiROxYsUK+zpbtmzBX/7yF4wePRrffPMNRo8ejeHDh2Pbtm1K7ZZXvu73xo0b0a9fP6xevRpff/01srKyMHDgQOzcudNhvUaNGqGsrMzhJzIyUoldksTX/bbZvXu3wz61adPG/rtgPN+zZ8922N/S0lLExMTgjjvucFhP6+f77Nmz6NSpE+bMmSNp/WD5fPu638Hy+fZ1v230/vn2db+D5fO9YcMGjB8/Hlu3bsW6detQVVWF/v374+zZs26fo9hnXOhMjx49xH333eewLD09XUydOtXl+o8++qhIT093WDZu3Dhx9dVX2x8PHz5c3HTTTQ7r3HjjjWLEiBEBKnXd+brfrrRr107MnDnT/njRokUiOjo6UEWUha/7XVBQIACIU6dOud2mEc53fn6+MJlMYu/evfZlejjfNQEQ+fn5HtcJls93TVL22xU9fr5rkrLfwfL5rsmf8x0Mn28hhDh69KgAIDZs2OB2HaU+47qqGbpw4QK+/vpr9O/f32F5//79sXnzZpfP2bJli9P6N954I7Zv346LFy96XMfdNpXmz37XVl1djdOnTztNdnfmzBkkJSUhISEBt956q9Nflmqqy35fddVVaNGiBfr27YuCggKH3xnhfL/11lu44YYbnEZp1/L59kcwfL4DQY+f77rQ8+c7EILl811eXg4AHidhVeozrqswdPz4cVgsFqfZ6ps1a+Y0q73N4cOHXa5fVVWF48ePe1zH3TaV5s9+1/bKK6/g7NmzGD58uH1Zeno6Fi9ejFWrVmHJkiWIjIxEr1698Ouvvwa0/P7yZ79btGiBhQsXYsWKFcjLy0NaWhr69u2LjRs32tcJ9vNdVlaGzz77DH/9618dlmv9fPsjGD7fgaDHz7c/guHzXVfB8vkWQmDKlCm47rrr0KFDB7frKfUZ1810HDWZTCaHx0IIp2Xe1q+93NdtqsHfMi5ZsgQzZszARx99hLi4OPvyq6++GldffbX9ca9evdClSxe8/vrr+Ne//hW4gteRL/udlpaGtLQ0++NrrrkGpaWlePnll3H99df7tU21+FvGxYsXo3Hjxhg8eLDDcr2cb18Fy+fbX3r/fPsimD7f/gqWz/eECRPw7bffYtOmTV7XVeIzrquaoSZNmiA0NNQp7R09etQpFdo0b97c5fphYWGIjY31uI67bSrNn/22Wbp0Ke655x58+OGHuOGGGzyuGxISgu7du2vmL4m67HdNV199tcM+BfP5FkLg7bffxujRoxEREeFxXa2db38Ew+e7LvT8+Q4UvX2+6yJYPt8PPvggVq1ahYKCAiQkJHhcV6nPuK7CUEREBLp27Yp169Y5LF+3bh2uvfZal8+55pprnNZfu3YtunXrhvDwcI/ruNum0vzZb8D6F+OYMWOQm5uLAQMGeH0dIQR27dqFFi1a1LnMgeDvfte2c+dOh30K1vMNWHtr7NmzB/fcc4/X19Ha+fZHMHy+/aX3z3eg6O3zXRd6/3wLITBhwgTk5eVh/fr1SElJ8focxT7jkptaa8QHH3wgwsPDxVtvvSV+/PFHMWnSJFG/fn17q/qpU6eK0aNH29f/3//+J+rVqycmT54sfvzxR/HWW2+J8PBwsXz5cvs6X331lQgNDRXPP/+8+Omnn8Tzzz8vwsLCxNatWxXfP3d83e/c3FwRFhYm5s6dK8rKyuw/v//+u32dGTNmiDVr1ojffvtN7Ny5U4wdO1aEhYWJbdu2Kb5/7vi636+99prIz88Xv/zyi/j+++/F1KlTBQCxYsUK+zrBeL5tRo0aJXr27Olym3o436dPnxY7d+4UO3fuFADEq6++Knbu3Cn27dsnhAjez7ev+x0sn29f9ztYPt++7reN3j/f999/v4iOjhaFhYUO79tz587Z11HrM667MCSEEHPnzhVJSUkiIiJCdOnSxaFbXnZ2tujdu7fD+oWFheKqq64SERERIjk5Wfz73/922uayZctEWlqaCA8PF+np6Q4fLq3wZb979+4tADj9ZGdn29eZNGmSaNWqlYiIiBBNmzYV/fv3F5s3b1Zwj6TxZb9feOEFkZqaKiIjI8Vll10mrrvuOvHpp586bTPYzrcQQvz+++8iKipKLFy40OX29HC+bV2n3b1vg/Xz7et+B8vn29f9DpbPtz/v82D4fLvaZwBi0aJF9nXU+oyb/iwgERERkSHpqs0QERERUaAxDBEREZGhMQwRERGRoTEMERERkaExDBEREZGhMQwRERGRoTEMERERkaExDBEREZGhMQwRERGRoTEMERERkaExDBGRLi1ZsgSRkZE4ePCgfdlf//pXdOzYEeXl5SqWjIj0hnOTEZEuCSHQuXNnZGRkYM6cOZg5cybefPNNbN26FS1btlS7eESkI2FqF4CIyB8mkwnPPvsshg0bhvj4eMyePRtFRUUMQkTkM9YMEZGudenSBT/88APWrl2L3r17q10cItIhthkiIt36/PPP8fPPP8NisaBZs2ZqF4eIdIo1Q0SkSzt27EBmZibmzp2LDz74APXq1cOyZcvULhYR6RDbDBGR7uzduxcDBgzA1KlTMXr0aLRr1w7du3fH119/ja5du6pdPCLSGdYMEZGunDx5Er169cL111+PBQsW2JcPGjQIlZWVWLNmjYqlIyI9YhgiIiIiQ2MDaiIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMrT/B90U15nE758kAAAAAElFTkSuQmCC",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "id": "e439d732",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "from random import random, seed\n",
     "import numpy as np\n",
@@ -2107,8 +2332,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "06107436",
-   "metadata": {},
+   "id": "aa6db5fd",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Using gradient descent methods, limitations\n",
     "\n",
@@ -2127,8 +2354,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bd3205c7",
-   "metadata": {},
+   "id": "4cf99d2c",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Improving gradient descent with momentum\n",
     "\n",
@@ -2138,56 +2367,12 @@
   {
    "cell_type": "code",
    "execution_count": 10,
-   "id": "98ec014e",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      ">0 f([0.74724774]) = 0.55838\n",
-      ">1 f([0.59779819]) = 0.35736\n",
-      ">2 f([0.47823856]) = 0.22871\n",
-      ">3 f([0.38259084]) = 0.14638\n",
-      ">4 f([0.30607268]) = 0.09368\n",
-      ">5 f([0.24485814]) = 0.05996\n",
-      ">6 f([0.19588651]) = 0.03837\n",
-      ">7 f([0.15670921]) = 0.02456\n",
-      ">8 f([0.12536737]) = 0.01572\n",
-      ">9 f([0.10029389]) = 0.01006\n",
-      ">10 f([0.08023512]) = 0.00644\n",
-      ">11 f([0.06418809]) = 0.00412\n",
-      ">12 f([0.05135047]) = 0.00264\n",
-      ">13 f([0.04108038]) = 0.00169\n",
-      ">14 f([0.0328643]) = 0.00108\n",
-      ">15 f([0.02629144]) = 0.00069\n",
-      ">16 f([0.02103315]) = 0.00044\n",
-      ">17 f([0.01682652]) = 0.00028\n",
-      ">18 f([0.01346122]) = 0.00018\n",
-      ">19 f([0.01076897]) = 0.00012\n",
-      ">20 f([0.00861518]) = 0.00007\n",
-      ">21 f([0.00689214]) = 0.00005\n",
-      ">22 f([0.00551372]) = 0.00003\n",
-      ">23 f([0.00441097]) = 0.00002\n",
-      ">24 f([0.00352878]) = 0.00001\n",
-      ">25 f([0.00282302]) = 0.00001\n",
-      ">26 f([0.00225842]) = 0.00001\n",
-      ">27 f([0.00180673]) = 0.00000\n",
-      ">28 f([0.00144539]) = 0.00000\n",
-      ">29 f([0.00115631]) = 0.00000\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": "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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "id": "3eaa6001",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "from numpy import asarray\n",
     "from numpy import arange\n",
@@ -2248,8 +2433,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "35d2b3d9",
-   "metadata": {},
+   "id": "a94bcdd8",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Same code but now with momentum gradient descent"
    ]
@@ -2257,56 +2444,12 @@
   {
    "cell_type": "code",
    "execution_count": 11,
-   "id": "ca391f17",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      ">0 f([0.74724774]) = 0.55838\n",
-      ">1 f([0.54175461]) = 0.29350\n",
-      ">2 f([0.37175575]) = 0.13820\n",
-      ">3 f([0.24640494]) = 0.06072\n",
-      ">4 f([0.15951871]) = 0.02545\n",
-      ">5 f([0.1015491]) = 0.01031\n",
-      ">6 f([0.0638484]) = 0.00408\n",
-      ">7 f([0.03976851]) = 0.00158\n",
-      ">8 f([0.02459084]) = 0.00060\n",
-      ">9 f([0.01511937]) = 0.00023\n",
-      ">10 f([0.00925406]) = 0.00009\n",
-      ">11 f([0.00564365]) = 0.00003\n",
-      ">12 f([0.0034318]) = 0.00001\n",
-      ">13 f([0.00208188]) = 0.00000\n",
-      ">14 f([0.00126053]) = 0.00000\n",
-      ">15 f([0.00076202]) = 0.00000\n",
-      ">16 f([0.00046006]) = 0.00000\n",
-      ">17 f([0.00027746]) = 0.00000\n",
-      ">18 f([0.00016719]) = 0.00000\n",
-      ">19 f([0.00010067]) = 0.00000\n",
-      ">20 f([6.05804744e-05]) = 0.00000\n",
-      ">21 f([3.64373635e-05]) = 0.00000\n",
-      ">22 f([2.19069576e-05]) = 0.00000\n",
-      ">23 f([1.31664443e-05]) = 0.00000\n",
-      ">24 f([7.91100141e-06]) = 0.00000\n",
-      ">25 f([4.75216828e-06]) = 0.00000\n",
-      ">26 f([2.85408468e-06]) = 0.00000\n",
-      ">27 f([1.71384267e-06]) = 0.00000\n",
-      ">28 f([1.02900153e-06]) = 0.00000\n",
-      ">29 f([6.17748881e-07]) = 0.00000\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": "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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "id": "a83da0e4",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "from numpy import asarray\n",
     "from numpy import arange\n",
@@ -2375,8 +2518,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "181b30b4",
-   "metadata": {},
+   "id": "3ac55f04",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Overview video on Stochastic Gradient Descent\n",
     "\n",
@@ -2385,8 +2530,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b51d1452",
-   "metadata": {},
+   "id": "2a8579fd",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Batches and mini-batches\n",
     "\n",
@@ -2404,8 +2551,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "85bbbc0c",
-   "metadata": {},
+   "id": "d07dbbb0",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Stochastic Gradient Descent (SGD)\n",
     "\n",
@@ -2434,8 +2583,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "56b2b867",
-   "metadata": {},
+   "id": "f7050d91",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Stochastic Gradient Descent\n",
     "\n",
@@ -2449,8 +2600,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "386e0c45",
-   "metadata": {},
+   "id": "53a1eb81",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "C(\\mathbf{\\beta}) = \\sum_{i=1}^n c_i(\\mathbf{x}_i,\n",
@@ -2460,8 +2613,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0f6d09dd",
-   "metadata": {},
+   "id": "e4d86364",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Computation of gradients\n",
     "\n",
@@ -2471,8 +2626,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "99541bf1",
-   "metadata": {},
+   "id": "0fb47ea3",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\nabla_\\beta C(\\mathbf{\\beta}) = \\sum_i^n \\nabla_\\beta c_i(\\mathbf{x}_i,\n",
@@ -2482,8 +2639,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a24ce1cc",
-   "metadata": {},
+   "id": "61242d66",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Stochasticity/randomness is introduced by only taking the\n",
     "gradient on a subset of the data called minibatches.  If there are $n$\n",
@@ -2494,8 +2653,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d6c2eea5",
-   "metadata": {},
+   "id": "242ed688",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## SGD example\n",
     "As an example, suppose we have $10$ data points $(\\mathbf{x}_1,\\cdots, \\mathbf{x}_{10})$ \n",
@@ -2514,8 +2675,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b2561a99",
-   "metadata": {},
+   "id": "9888d0c0",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\nabla_{\\beta}\n",
@@ -2527,8 +2690,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a0fb8d89",
-   "metadata": {},
+   "id": "00908421",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## The gradient step\n",
     "\n",
@@ -2537,8 +2702,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "71856a7b",
-   "metadata": {},
+   "id": "4dfe9a45",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\beta_{j+1} = \\beta_j - \\gamma_j \\sum_{i \\in B_k}^n \\nabla_\\beta c_i(\\mathbf{x}_i,\n",
@@ -2548,8 +2715,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9859ff14",
-   "metadata": {},
+   "id": "d91957f8",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "where $k$ is picked at random with equal\n",
     "probability from $[1,n/M]$. An iteration over the number of\n",
@@ -2560,8 +2729,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6558ed12",
-   "metadata": {},
+   "id": "2bf38592",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Simple example code"
    ]
@@ -2569,8 +2740,11 @@
   {
    "cell_type": "code",
    "execution_count": 12,
-   "id": "f8cee4e8",
-   "metadata": {},
+   "id": "43232599",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "import numpy as np \n",
@@ -2591,8 +2765,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aac3d48e",
-   "metadata": {},
+   "id": "b6d1acf5",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Taking the gradient only on a subset of the data has two important\n",
     "benefits. First, it introduces randomness which decreases the chance\n",
@@ -2605,8 +2781,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "657c6870",
-   "metadata": {},
+   "id": "a14ce3ad",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## When do we stop?\n",
     "\n",
@@ -2624,8 +2802,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5a8d8a8d",
-   "metadata": {},
+   "id": "5d674391",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Slightly different approach\n",
     "\n",
@@ -2642,8 +2822,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e0c75855",
-   "metadata": {},
+   "id": "b01f74c8",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Time decay rate\n",
     "\n",
@@ -2659,17 +2841,12 @@
   {
    "cell_type": "code",
    "execution_count": 13,
-   "id": "8368a998",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "gamma_j after 500 epochs: 9.97108e-05\n"
-     ]
-    }
-   ],
+   "id": "81c42935",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "import numpy as np \n",
     "\n",
@@ -2699,8 +2876,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a99e7227",
-   "metadata": {},
+   "id": "5a28593f",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Code with a Number of Minibatches which varies\n",
     "\n",
@@ -2710,36 +2889,12 @@
   {
    "cell_type": "code",
    "execution_count": 14,
-   "id": "b567ba9d",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Own inversion\n",
-      "[[4.08687303]\n",
-      " [3.00141727]]\n",
-      "Eigenvalues of Hessian Matrix:[0.29653038 4.0474753 ]\n",
-      "theta from own gd\n",
-      "[[4.08687303]\n",
-      " [3.00141727]]\n",
-      "theta from own sdg\n",
-      "[[4.014934 ]\n",
-      " [3.0042992]]\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": "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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "id": "94ca81fd",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "# Importing various packages\n",
     "from math import exp, sqrt\n",
@@ -2811,8 +2966,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8ea309ee",
-   "metadata": {},
+   "id": "603b60cd",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Replace or not\n",
     "\n",
@@ -2824,8 +2981,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5573b607",
-   "metadata": {},
+   "id": "19b9dcdb",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Momentum based GD\n",
     "\n",
@@ -2837,8 +2996,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5c393430",
-   "metadata": {},
+   "id": "a22a038a",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\mathbf{v}_{t}=\\gamma \\mathbf{v}_{t-1}+\\eta_{t}\\nabla_\\theta E(\\boldsymbol{\\theta}_t) \\nonumber\n",
@@ -2847,8 +3008,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "03d76b90",
-   "metadata": {},
+   "id": "787585ab",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "<!-- Equation labels as ordinary links -->\n",
     "<div id=\"_auto1\"></div>\n",
@@ -2863,8 +3026,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c9de2175",
-   "metadata": {},
+   "id": "96ff0afc",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "where we have introduced a momentum parameter $\\gamma$, with\n",
     "$0\\le\\gamma\\le 1$, and for brevity we dropped the explicit notation to\n",
@@ -2880,8 +3045,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a493002b",
-   "metadata": {},
+   "id": "61791f14",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\Delta \\boldsymbol{\\theta}_{t+1} = \\gamma \\Delta \\boldsymbol{\\theta}_t -\\ \\eta_{t}\\nabla_\\theta E(\\boldsymbol{\\theta}_t),\n",
@@ -2890,16 +3057,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cb1d7212",
-   "metadata": {},
+   "id": "f823f328",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "where we have defined $\\Delta \\boldsymbol{\\theta}_{t}= \\boldsymbol{\\theta}_t-\\boldsymbol{\\theta}_{t-1}$."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "91135b7f",
-   "metadata": {},
+   "id": "c4d9d496",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## More on momentum based approaches\n",
     "\n",
@@ -2912,8 +3083,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "57c90f73",
-   "metadata": {},
+   "id": "391417ce",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "m {d^2 \\mathbf{w} \\over dt^2} + \\mu {d \\mathbf{w} \\over dt }= -\\nabla_w E(\\mathbf{w}).\n",
@@ -2922,16 +3095,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "28fc8c64",
-   "metadata": {},
+   "id": "4f023c4e",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "We can discretize this equation in the usual way to get"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "9ea86afa",
-   "metadata": {},
+   "id": "69270617",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "m { \\mathbf{w}_{t+\\Delta t}-2 \\mathbf{w}_{t} +\\mathbf{w}_{t-\\Delta t} \\over (\\Delta t)^2}+\\mu {\\mathbf{w}_{t+\\Delta t}- \\mathbf{w}_{t} \\over \\Delta t} = -\\nabla_w E(\\mathbf{w}).\n",
@@ -2940,16 +3117,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "259f8bd9",
-   "metadata": {},
+   "id": "2a4e6d30",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Rearranging this equation, we can rewrite this as"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "1b3b21b9",
-   "metadata": {},
+   "id": "359bd99b",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\Delta \\mathbf{w}_{t +\\Delta t}= - { (\\Delta t)^2 \\over m +\\mu \\Delta t} \\nabla_w E(\\mathbf{w})+ {m \\over m +\\mu \\Delta t} \\Delta \\mathbf{w}_t.\n",
@@ -2958,8 +3139,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "931ce41d",
-   "metadata": {},
+   "id": "7ea6f847",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Momentum parameter\n",
     "\n",
@@ -2972,8 +3155,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d1d161a1",
-   "metadata": {},
+   "id": "691c8355",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\gamma= {m \\over m +\\mu \\Delta t }, \\qquad \\eta = {(\\Delta t)^2 \\over m +\\mu \\Delta t}.\n",
@@ -2982,8 +3167,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4f3657ba",
-   "metadata": {},
+   "id": "36be1849",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Thus, as the name suggests, the momentum parameter is proportional to\n",
     "the mass of the particle and effectively provides inertia.\n",
@@ -3013,8 +3200,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "81824da9",
-   "metadata": {},
+   "id": "2b7f8487",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\mathbf{v}_{t}=\\gamma \\mathbf{v}_{t-1}+\\eta_{t}\\nabla_\\theta E(\\boldsymbol{\\theta}_t +\\gamma \\mathbf{v}_{t-1}) \\nonumber\n",
@@ -3023,8 +3212,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6295bc9d",
-   "metadata": {},
+   "id": "d8a09725",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "<!-- Equation labels as ordinary links -->\n",
     "<div id=\"_auto2\"></div>\n",
@@ -3039,16 +3230,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7a094665",
-   "metadata": {},
+   "id": "2d94a01d",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "One of the major advantages of NAG is that it allows for the use of a larger learning rate than GDM for the same choice of $\\gamma$."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "f0c6bb20",
-   "metadata": {},
+   "id": "65d01e36",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Second moment of the gradient\n",
     "\n",
@@ -3076,8 +3271,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ce3b45b6",
-   "metadata": {},
+   "id": "8da72974",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## RMS prop\n",
     "\n",
@@ -3089,8 +3286,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ee7e2069",
-   "metadata": {},
+   "id": "c58d0f20",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "<!-- Equation labels as ordinary links -->\n",
     "<div id=\"_auto3\"></div>\n",
@@ -3105,8 +3304,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ec4f73bb",
-   "metadata": {},
+   "id": "e5dc0738",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\mathbf{s}_t =\\beta \\mathbf{s}_{t-1} +(1-\\beta)\\mathbf{g}_t^2 \\nonumber\n",
@@ -3115,8 +3316,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fa5cb9a2",
-   "metadata": {},
+   "id": "fbd6fdd8",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{\\theta}_{t+1}=\\boldsymbol{\\theta}_t - \\eta_t { \\mathbf{g}_t \\over \\sqrt{\\mathbf{s}_t +\\epsilon}}, \\nonumber\n",
@@ -3125,8 +3328,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "eb93379a",
-   "metadata": {},
+   "id": "626dc040",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "where $\\beta$ controls the averaging time of the second moment and is\n",
     "typically taken to be about $\\beta=0.9$, $\\eta_t$ is a learning rate\n",
@@ -3141,8 +3346,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b46162a4",
-   "metadata": {},
+   "id": "6fcf9b87",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## [ADAM optimizer](https://arxiv.org/abs/1412.6980)\n",
     "\n",
@@ -3168,8 +3375,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d103bc6a",
-   "metadata": {},
+   "id": "88bbaad2",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "<!-- Equation labels as ordinary links -->\n",
     "<div id=\"_auto4\"></div>\n",
@@ -3184,8 +3393,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a0f031f6",
-   "metadata": {},
+   "id": "b4349ab6",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\mathbf{m}_t = \\beta_1 \\mathbf{m}_{t-1} + (1-\\beta_1) \\mathbf{g}_t \\nonumber\n",
@@ -3194,8 +3405,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2b384f75",
-   "metadata": {},
+   "id": "b2215a9e",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\mathbf{s}_t =\\beta_2 \\mathbf{s}_{t-1} +(1-\\beta_2)\\mathbf{g}_t^2 \\nonumber\n",
@@ -3204,8 +3417,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "216435a6",
-   "metadata": {},
+   "id": "4d2452fb",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{\\mathbf{m}}_t={\\mathbf{m}_t \\over 1-\\beta_1^t} \\nonumber\n",
@@ -3214,8 +3429,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8b79e19e",
-   "metadata": {},
+   "id": "2af543bd",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{\\mathbf{s}}_t ={\\mathbf{s}_t \\over1-\\beta_2^t} \\nonumber\n",
@@ -3224,8 +3441,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ba777281",
-   "metadata": {},
+   "id": "67134da9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{\\theta}_{t+1}=\\boldsymbol{\\theta}_t - \\eta_t { \\boldsymbol{\\mathbf{m}}_t \\over \\sqrt{\\boldsymbol{\\mathbf{s}}_t} +\\epsilon}, \\nonumber\n",
@@ -3234,8 +3453,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f34eb136",
-   "metadata": {},
+   "id": "59683156",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "<!-- Equation labels as ordinary links -->\n",
     "<div id=\"_auto5\"></div>\n",
@@ -3249,8 +3470,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "695da6fd",
-   "metadata": {},
+   "id": "56b23d7b",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "where $\\beta_1$ and $\\beta_2$ set the memory lifetime of the first and\n",
     "second moment and are typically taken to be $0.9$ and $0.99$\n",
@@ -3266,8 +3489,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8771f487",
-   "metadata": {},
+   "id": "ef6b130f",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\Delta \\theta_{t+1}= -\\eta_t { \\boldsymbol{m}_t \\over \\sqrt{\\sigma_t^2 +  m_t^2 }+\\epsilon}.\n",
@@ -3276,8 +3501,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6b816830",
-   "metadata": {},
+   "id": "55d1d0ff",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Algorithms and codes for Adagrad, RMSprop and Adam\n",
     "\n",
@@ -3288,8 +3515,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4efb5cb8",
-   "metadata": {},
+   "id": "5b0fb743",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Practical tips\n",
     "\n",
@@ -3306,8 +3535,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "de7affbf",
-   "metadata": {},
+   "id": "ea05bbe2",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Automatic differentiation\n",
     "\n",
@@ -3342,8 +3573,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3383da7c",
-   "metadata": {},
+   "id": "b4cf1ace",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "f(x) = \\sin\\left(2\\pi x + x^2\\right)\n",
@@ -3352,16 +3585,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a8a03664",
-   "metadata": {},
+   "id": "862002bf",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "which has the following derivative"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "da4e8c9e",
-   "metadata": {},
+   "id": "be897152",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "f'(x) = \\cos\\left(2\\pi x + x^2\\right)\\left(2\\pi + 2x\\right)\n",
@@ -3370,8 +3607,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b35c008d",
-   "metadata": {},
+   "id": "13e4ae3a",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Using **autograd** we have"
    ]
@@ -3379,27 +3618,12 @@
   {
    "cell_type": "code",
    "execution_count": 15,
-   "id": "9bb36858",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "image/png": "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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "The max absolute difference is: 1.77636e-15\n"
-     ]
-    }
-   ],
+   "id": "d4a79e0d",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "import autograd.numpy as np\n",
     "\n",
@@ -3439,8 +3663,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9f8c7b5e",
-   "metadata": {},
+   "id": "4d3694c5",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Using autograd\n",
     "\n",
@@ -3454,18 +3680,12 @@
   {
    "cell_type": "code",
    "execution_count": 16,
-   "id": "65176228",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "The gradient of f1 evaluated at a = 1 using autograd is: 3\n",
-      "The gradient of f1 evaluated at a = 1 by finding the analytic expression is: 3\n"
-     ]
-    }
-   ],
+   "id": "a9719490",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "import autograd.numpy as np\n",
     "from autograd import grad\n",
@@ -3488,8 +3708,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "44375951",
-   "metadata": {},
+   "id": "b2259ecd",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Autograd with more complicated functions\n",
     "\n",
@@ -3501,23 +3723,12 @@
   {
    "cell_type": "code",
    "execution_count": 17,
-   "id": "63ebdbaf",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Evaluating at x1 = 1, x2 = 3\n",
-      "------------------------------\n",
-      "The derivative of f2 w.r.t x1: 12\n",
-      "The analytical derivative of f2 w.r.t x1: 12\n",
-      "\n",
-      "The derivative of f2 w.r.t x2: -4\n",
-      "The analytical derivative of f2 w.r.t x2: -4\n"
-     ]
-    }
-   ],
+   "id": "5b154fa9",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "import autograd.numpy as np\n",
     "from autograd import grad\n",
@@ -3556,16 +3767,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ddef1f9a",
-   "metadata": {},
+   "id": "733bbca1",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Note that the grad function will not produce the true gradient of the function. The true gradient of a function with two or more variables will produce a vector, where each element is the function differentiated w.r.t a variable."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "c6ff810b",
-   "metadata": {},
+   "id": "d817341e",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## More complicated functions using the elements of their arguments directly"
    ]
@@ -3573,18 +3788,12 @@
   {
    "cell_type": "code",
    "execution_count": 18,
-   "id": "8c1ef66a",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "The computed gradient of f3 is:  [ 2.  3.  5.  7. 88.]\n",
-      "The analytical gradient of f3 is:  [ 2.  3.  5.  7. 88.]\n"
-     ]
-    }
-   ],
+   "id": "1289ab58",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "import autograd.numpy as np\n",
     "from autograd import grad\n",
@@ -3607,8 +3816,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7ac0e490",
-   "metadata": {},
+   "id": "7d4fed1d",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Note that in this case, when sending an array as input argument, the\n",
     "output from Autograd is another array. This is the true gradient of\n",
@@ -3620,8 +3831,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f817a4b1",
-   "metadata": {},
+   "id": "5ad8360a",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Functions using mathematical functions from Numpy"
    ]
@@ -3629,18 +3842,12 @@
   {
    "cell_type": "code",
    "execution_count": 19,
-   "id": "9950eceb",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "The computed derivative of f4 at x = 2.7 is: 13.8759\n",
-      "The analytical gradient of f4 at x = 2.7 is: 13.8759\n"
-     ]
-    }
-   ],
+   "id": "0cf2c306",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "import autograd.numpy as np\n",
     "from autograd import grad\n",
@@ -3663,8 +3870,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2d3597e1",
-   "metadata": {},
+   "id": "70050aa3",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## More autograd"
    ]
@@ -3672,17 +3881,12 @@
   {
    "cell_type": "code",
    "execution_count": 20,
-   "id": "a694b773",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "The computed derivative of f5 at x = 2.7 is: 5.4\n"
-     ]
-    }
-   ],
+   "id": "7eee1b5e",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "import autograd.numpy as np\n",
     "from autograd import grad\n",
@@ -3702,8 +3906,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "63681987",
-   "metadata": {},
+   "id": "352a0503",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## And  with loops"
    ]
@@ -3711,18 +3917,12 @@
   {
    "cell_type": "code",
    "execution_count": 21,
-   "id": "ae061106",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "The computed derivative of f6_for at x = 0.5 is: 3.95703\n",
-      "The computed derivative of f6_while at x = 0.5 is: 3.95703\n"
-     ]
-    }
-   ],
+   "id": "943cc42b",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "import autograd.numpy as np\n",
     "from autograd import grad\n",
@@ -3753,17 +3953,12 @@
   {
    "cell_type": "code",
    "execution_count": 22,
-   "id": "a194eddc",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "The analytical derivative of f6 at x = 0.5 is: 3.95703\n"
-     ]
-    }
-   ],
+   "id": "e8664459",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "import autograd.numpy as np\n",
     "from autograd import grad\n",
@@ -3778,8 +3973,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8c21cf38",
-   "metadata": {},
+   "id": "6ddce8f0",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Using recursion"
    ]
@@ -3787,18 +3984,12 @@
   {
    "cell_type": "code",
    "execution_count": 23,
-   "id": "3eb55bad",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "The computed derivative of f7 at n = 2 is: 1\n",
-      "The analytical derivative of f7 at n = 2 is: 1\n"
-     ]
-    }
-   ],
+   "id": "96a3253f",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "import autograd.numpy as np\n",
     "from autograd import grad\n",
@@ -3831,16 +4022,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "12fbb13b",
-   "metadata": {},
+   "id": "8b25fa4c",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Note that if n is equal to zero or one, Autograd will give an error message. This message appears when the output is independent on input."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "19ed9d51",
-   "metadata": {},
+   "id": "e225412f",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Unsupported functions\n",
     "Autograd supports many features. However, there are some functions that is not supported (yet) by Autograd.\n",
@@ -3851,8 +4046,11 @@
   {
    "cell_type": "code",
    "execution_count": 24,
-   "id": "fb297a92",
-   "metadata": {},
+   "id": "89af0ad7",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "import autograd.numpy as np\n",
@@ -3870,16 +4068,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "06d0bc95",
-   "metadata": {},
+   "id": "87db5510",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Here, running this code, Autograd tells us that an 'ArrayBox' does not support item assignment. The item assignment is done when the program tries to assign x[2] to the value 3. However, Autograd has implemented the computation of the derivative such that this assignment is not possible."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "9974f300",
-   "metadata": {},
+   "id": "21d8ac43",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## The syntax a.dot(b) when finding the dot product"
    ]
@@ -3887,8 +4089,11 @@
   {
    "cell_type": "code",
    "execution_count": 25,
-   "id": "cbb0a202",
-   "metadata": {},
+   "id": "5411f897",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "import autograd.numpy as np\n",
@@ -3906,8 +4111,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7f08b96c",
-   "metadata": {},
+   "id": "f6b40ee1",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Here we are told that the 'dot' function does not belong to Autograd's\n",
     "version of a Numpy array.  To overcome this, an alternative syntax\n",
@@ -3917,17 +4124,12 @@
   {
    "cell_type": "code",
    "execution_count": 26,
-   "id": "cba444cd",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "The gradient of f9 is: [1. 2.]\n"
-     ]
-    }
-   ],
+   "id": "9590986c",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "import autograd.numpy as np\n",
     "from autograd import grad\n",
@@ -3947,42 +4149,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "18e2b174",
-   "metadata": {},
-   "source": [
-    "## Recommended to avoid\n",
-    "The documentation recommends to avoid inplace operations such as"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 27,
-   "id": "69c6914d",
-   "metadata": {},
-   "outputs": [
-    {
-     "ename": "NameError",
-     "evalue": "name 'b' is not defined",
-     "output_type": "error",
-     "traceback": [
-      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
-      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
-      "Cell \u001b[0;32mIn[27], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m a \u001b[38;5;241m+\u001b[39m\u001b[38;5;241m=\u001b[39m \u001b[43mb\u001b[49m\n\u001b[1;32m      2\u001b[0m a \u001b[38;5;241m-\u001b[39m\u001b[38;5;241m=\u001b[39m b\n\u001b[1;32m      3\u001b[0m a\u001b[38;5;241m*\u001b[39m\u001b[38;5;241m=\u001b[39m b\n",
-      "\u001b[0;31mNameError\u001b[0m: name 'b' is not defined"
-     ]
-    }
-   ],
-   "source": [
-    "a += b\n",
-    "a -= b\n",
-    "a*= b\n",
-    "a /=b"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "600cc052",
-   "metadata": {},
+   "id": "2085a755",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Using Autograd with OLS\n",
     "\n",
@@ -3993,9 +4163,12 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "cd18340b",
-   "metadata": {},
+   "execution_count": 27,
+   "id": "8108ae0a",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "# Using Autograd to calculate gradients for OLS\n",
@@ -4051,17 +4224,22 @@
   },
   {
    "cell_type": "markdown",
-   "id": "849de571",
-   "metadata": {},
+   "id": "b11794c2",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Same code but now with momentum gradient descent"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "ac458170",
-   "metadata": {},
+   "execution_count": 28,
+   "id": "d0d357c7",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "# Using Autograd to calculate gradients for OLS\n",
@@ -4121,17 +4299,22 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f33ed0dd",
-   "metadata": {},
+   "id": "641a2e50",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## But none of these can compete with Newton's method"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "e6b06cdb",
-   "metadata": {},
+   "execution_count": 29,
+   "id": "ca6775b3",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "# Using Newton's method\n",
@@ -4176,8 +4359,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "90de8a04",
-   "metadata": {},
+   "id": "75ed4c75",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Including Stochastic Gradient Descent with Autograd\n",
     "In this code we include the stochastic gradient descent approach discussed above. Note here that we specify which argument we are taking the derivative with respect to when using **autograd**."
@@ -4185,9 +4370,12 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "a010a209",
-   "metadata": {},
+   "execution_count": 30,
+   "id": "5a69be60",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "# Using Autograd to calculate gradients using SGD\n",
@@ -4267,17 +4455,22 @@
   },
   {
    "cell_type": "markdown",
-   "id": "18298e5e",
-   "metadata": {},
+   "id": "345a84dc",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Same code but now with momentum gradient descent"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "3320d6c6",
-   "metadata": {},
+   "execution_count": 31,
+   "id": "656324bd",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "# Using Autograd to calculate gradients using SGD\n",
@@ -4351,17 +4544,22 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f1411612",
-   "metadata": {},
+   "id": "a4f56c77",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Similar (second order function now) problem but now with AdaGrad"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "19414323",
-   "metadata": {},
+   "execution_count": 32,
+   "id": "69086c69",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "# Using Autograd to calculate gradients using AdaGrad and Stochastic Gradient descent\n",
@@ -4416,25 +4614,32 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a77cdfa4",
-   "metadata": {},
+   "id": "aaf0ff5c",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Running this code we note an almost perfect agreement with the results from matrix inversion."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "9f488085",
-   "metadata": {},
+   "id": "adc13d31",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## RMSprop for adaptive learning rate with Stochastic Gradient Descent"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "6724b3d2",
-   "metadata": {},
+   "execution_count": 33,
+   "id": "ca22be17",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "# Using Autograd to calculate gradients using RMSprop  and Stochastic Gradient descent\n",
@@ -4495,17 +4700,22 @@
   },
   {
    "cell_type": "markdown",
-   "id": "09728e4a",
-   "metadata": {},
+   "id": "20bdfaf1",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## And finally [ADAM](https://arxiv.org/pdf/1412.6980.pdf)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "28aa6aad",
-   "metadata": {},
+   "execution_count": 34,
+   "id": "aebc385b",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "# Using Autograd to calculate gradients using RMSprop  and Stochastic Gradient descent\n",
@@ -4571,17 +4781,22 @@
   },
   {
    "cell_type": "markdown",
-   "id": "70fc8bdd",
-   "metadata": {},
+   "id": "59f9e902",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## And Logistic Regression"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "f3dde7c5",
-   "metadata": {},
+   "execution_count": 35,
+   "id": "0787385b",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "import autograd.numpy as np\n",
@@ -4621,8 +4836,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b46c449b",
-   "metadata": {},
+   "id": "69ab7a74",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Introducing [JAX](https://jax.readthedocs.io/en/latest/)\n",
     "\n",
@@ -4637,9 +4854,12 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "291c9b6d",
-   "metadata": {},
+   "execution_count": 36,
+   "id": "fec78172",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "import jax.numpy as jnp\n",
@@ -4652,35 +4872,9 @@
     "derivative_fn = grad(sum_logistic)\n",
     "print(derivative_fn(x_small))"
    ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "id": "e201d58b",
-   "metadata": {},
-   "outputs": [],
-   "source": []
   }
  ],
- "metadata": {
-  "kernelspec": {
-   "display_name": "Python 3 (ipykernel)",
-   "language": "python",
-   "name": "python3"
-  },
-  "language_info": {
-   "codemirror_mode": {
-    "name": "ipython",
-    "version": 3
-   },
-   "file_extension": ".py",
-   "mimetype": "text/x-python",
-   "name": "python",
-   "nbconvert_exporter": "python",
-   "pygments_lexer": "ipython3",
-   "version": "3.9.18"
-  }
- },
+ "metadata": {},
  "nbformat": 4,
  "nbformat_minor": 5
 }
diff --git a/doc/LectureNotes/_build/html/searchindex.js b/doc/LectureNotes/_build/html/searchindex.js
index cbac24241..1f21ce7e9 100644
--- a/doc/LectureNotes/_build/html/searchindex.js
+++ b/doc/LectureNotes/_build/html/searchindex.js
@@ -1 +1 @@
-Search.setIndex({docnames:["chapter1","chapter10","chapter11","chapter12","chapter13","chapter2","chapter3","chapter4","chapter5","chapter6","chapter7","chapter8","chapter9","chapteroptimization","clustering","exercisesweek34","exercisesweek35","exercisesweek36","exercisesweek37","exercisesweek38","exercisesweek39","intro","linalg","project1","schedule","statistics","teachers","textbooks","week34","week35","week36","week37","week38","week39"],envversion:{"sphinx.domains.c":2,"sphinx.domains.changeset":1,"sphinx.domains.citation":1,"sphinx.domains.cpp":4,"sphinx.domains.index":1,"sphinx.domains.javascript":2,"sphinx.domains.math":2,"sphinx.domains.python":3,"sphinx.domains.rst":2,"sphinx.domains.std":2,"sphinx.ext.intersphinx":1,sphinx:56},filenames:["chapter1.ipynb","chapter10.ipynb","chapter11.ipynb","chapter12.ipynb","chapter13.ipynb","chapter2.ipynb","chapter3.ipynb","chapter4.ipynb","chapter5.ipynb","chapter6.ipynb","chapter7.ipynb","chapter8.ipynb","chapter9.ipynb","chapteroptimization.ipynb","clustering.ipynb","exercisesweek34.ipynb","exercisesweek35.ipynb","exercisesweek36.ipynb","exercisesweek37.ipynb","exercisesweek38.ipynb","exercisesweek39.ipynb","intro.md","linalg.ipynb","project1.ipynb","schedule.md","statistics.ipynb","teachers.md","textbooks.md","week34.ipynb","week35.ipynb","week36.ipynb","week37.ipynb","week38.ipynb","week39.ipynb"],objects:{},objnames:{},objtypes:{},terms:{"0":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,22,23,25,26,28,29,30,31,32,33],"00":[0,1,5,6,9,11,28,29,30],"000":[1,3,9],"0000":[5,9],"00000":[9,33],"000000":[5,11,29],"00000000e":[5,29],"00001":33,"00002":33,"00002585e":29,"00003":33,"00005":33,"00007":33,"00009":33,"0001":[1,17],"00010067":33,"00012":33,"000137":25,"00016719":33,"00017733":[],"00018":33,"00018053":[],"00019998":5,"00021270681344726395":[],"000225":[],"00023":33,"00023813":[],"00024087":5,"00024929":[],"00025662":[],"0002762":[],"00027746":33,"00028":33,"00028167":[],"00029012":5,"0002926":[],"00030601":[],"00031208":[],"00031535148309577417":[6,30],"0003153514830958095":[6,30],"00033904":[],"00034576":[],"00034688149480437765":[],"00034944":5,"0003701342170783489":9,"00037564":[],"00038309":[],"00041619":[],"000417932":2,"00042089":5,"00042093":[],"00042444":[],"00044":33,"00046006":33,"00046111":[],"000464088":2,"00047025":[],"00050694":5,"00051088":[],"00052102":[],"00053001":[],"00053122":[],"00056603":[],"00057726":[],"00058016":[6,30],"00060":33,"00060704":6,"00061058":5,"00062592":6,"00062668":[],"000626681519836":[],"00062713":[],"00063362":31,"00063866":31,"00063957":[],"00066668":[6,30],"00067008":[],"00068091":31,"00068734":[6,30],"00069":33,"00069123":6,"00069482":[],"0007086":[],"00073541":5,"00075590":31,"00076202":33,"00076495":[6,30],"00076908":6,"00076983":[],"0007698473260556325":[6,30],"0007698473260556343":[6,30],"000783":[],"00078324":[],"00078509":[],"00079125":6,"00079904":31,"00079968":5,"00080497":[],"0008297120772365539":[],"00083355":31,"00084707":6,"00085292":[],"00085892":6,"00086984":[],"00087697":[6,30],"00088573":5,"00089193":31,"00092678":6,"00092898":31,"00094499":[],"00096314":5,"00096373":[],"00099778":[],"001":[1,2,8,13,17,30,32,33],"00100519":[6,30],"00100913":[],"001047":[],"0010479245693919886":[6,31],"00105081":[6,30],"00106677":5,"00106776":[],"00107405":[6,30],"00108":33,"00108471":[],"00111756":[6,30],"00114401":[],"00114855":[],"0011526":[6,30],"00115631":33,"00115999":5,"00116001":[],"00118302":[],"00118584":6,"00119688":31,"00126053":33,"00128479":5,"00128523":[],"00131072":[],"001323":[6,30],"00133638":[],"00136125":[],"00137814":6,"00139705":5,"00140846":31,"00141727":33,"00142396":[],"00144539":33,"0014522":[],"001468":[],"00146807":[],"00149311":[6,30],"00149956":[6,30],"00151416":[],"00152117":[6,30],"00154733":5,"00154853":31,"00156374":6,"00157766":[],"00158":33,"00160895":[],"00162921":[],"00167329":[],"00168251":5,"00168745":[],"00169":33,"00170809":[],"00172865":[],"00174276":[6,30],"00174738":[],"00174795":[],"00175331":[6,30],"00178263":[],"00180673":33,"0018310257999764163":[],"00186347":5,"001880":5,"00193661":[],"00197505":[],"00200":8,"00202624":5,"00202756":[6,30],"00208188":33,"00209403":[],"00211418":[],"00214559":[],"00217499":[6,30],"00218823":[],"00219195":31,"00220013":[],"00224413":5,"00225842":33,"00228740":6,"0023548":[6,30],"00237699":[],"002381316302584885":[6,30],"0023813163025848865":[6,30],"00242441":[],"00242954":31,"00242999":6,"00243186":[6,30],"0024401":5,"00249435":[6,30],"00250787":[],"00254973":[],"00256622":[],"00263296":[],"00264":33,"00266858":2,"00268602":[],"00270244":5,"00274989":[6,30],"00282226":[],"00282302":33,"00289724":[6,30],"00290613":[],"00291535":[],"00293838":5,"00297571":[],"00310113":2,"00312361":[6,30],"00315593":6,"0032153180657605116":[6,31],"00322456":[],"00323332":[6,30],"0032542":5,"00325450":31,"00329616":[],"00330046":[],"003301":[6,30],"00334047":[],"0033955154592040936":[6,31],"0034318":33,"00348246":[],"00352878":33,"00353823":5,"00353938":[],"00355614":[],"0036237":[6,30],"0036367":[6,30],"00364967":[],"00369758":[6,30],"0038335":[6,30],"00389038":[],"003909404072811226":[6,31],"00391839":5,"0039259":[],"0039987":[6,30],"00399972":[],"004":[5,30,31],"00403677":[],"0040792":[],"00408":33,"004091940707753939":[6,31],"00410387":[6,30],"00410478":6,"004113634617443131":[6,29,30],"00411363461744314":[6,29,30],"004113634617443147":[6,29,30],"0041148":[],"00412":33,"00415598634586135":[6,31],"00416103":[],"00420072":31,"00424909":2,"00424967":[6,30],"00426027":5,"0042992":33,"00433417":11,"00434043":[],"0043587":[],"00440346":[6,30],"00441097":33,"00443743":[6,30],"0044505":[],"00445186":[],"00445655":11,"00455966":[],"004579219539673834":[6,31],"00458631":[],"00458878":[6,30],"004610275230656212":[6,31],"00462287":[6,30],"00465099":31,"0046544":[],"00468914":25,"00471782":5,"00472199":6,"00472276":[],"00472512":[6,30],"00476012":[],"00487029":[],"0049544":[6,30],"00497837":30,"004999999999999991":[],"005":0,"005000000000000001":[],"00507531":[],"00509128":[],"00512599":[],"00512927":5,"00513051":[],"00517114":[6,30],"00519717":[],"00520911":[],"00522055":[],"00526348":[6,30],"0053018":[6,30],"00537955":[],"00544547":[],"00551372":33,"00552462":[],"00554202":[],"00554552":[6,30],"00556826":[6,30],"00556946":[],"0055715":[],"00557893":[],"00560098":[],"005643":[],"00564344":[],"00564365":33,"00566707":[],"0056799":5,"00569512":[],"00570321":[],"0057065":[],"00573727":[],"00574735":[],"00579953":[6,30],"0058243":[],"00586355":[],"00588657":[6,30],"00593362":[],"0059591":[],"00606382":[],"00607783":6,"006162":[6,30],"00617221":[],"00617499":5,"0062202":[],"00622949":[],"00625051":[],"00630331":[6,30],"00633289":[],"00634299":[],"00637188":[],"00637367":[],"00641423":[],"00642221":[6,30],"00644":33,"0064472":30,"00647029":[],"00659604":[],"00660427":[6,30],"00666287":[],"00667611":[],"00672607":[6,30],"00673407":[6,30],"00676256":22,"00676387":[6,30],"00679013":[],"0068011":[6,30],"00681708":[],"00683748":5,"00683875021199284":[],"00683964":[6,30],"00685287":[],"00687309":[],"00689214":33,"00691012":[],"007024126888938232":[6,31],"00702721":[],"0071264":[],"00719176":[6,30],"00727646693":[0,28],"00729134":[],"00731392e":29,"007315":29,"00732665":[],"0074331":5,"00747773":[],"00759119":6,"00762217":[],"007658477904313023":[],"00779859":[],"00781918":31,"00784393":[6,30],"00789262":[],"00791263":[],"00798909":[],"00803064":[6,30],"008043811612683473":[],"00805074":31,"00812487":[],"00813803":6,"00815244":[],"00816675":[],"00817631":[6,30],"00823002":5,"00827728":[6,30],"00831018":[6,30],"00834112":[],"00834567":[6,30],"00848904":[6,30],"008560581831215528":[],"00859693":[],"00861518":33,"0086649156":[0,28],"008675369724975977":5,"00871959":[],"008753288788081405":29,"00889475":[],"00891702":[],"0089214":[],"00894639":5,"00905423":[6,30],"009163470508352218":5,"009164545680330616":[6,31],"00917248":[6,30],"009211602191395454":29,"00925406":33,"00930146":[],"0093262":[],"009338082195270294":[],"00934327e":29,"00934499":[6,30],"00939407":[],"009396472959497925":[],"00940611":[],"00942574":[],"00943959":[],"00954206":[],"00955125":[],"00956827":[],"0096208":[6,30],"00974758":[],"00989834e":[],"00990475":5,"00992331":[6,30],"00996754":[6,30],"00997502":[],"01":[0,1,2,5,6,9,11,13,17,27,28,29,30,33],"010018312644137363":[6,31],"01003519":[],"01006":33,"01006984":[],"0100706":[6,30],"01013849":[],"01014331":[],"01020588":[],"01024875":[],"01031":33,"01032533":[],"010331721306655127":[6,31],"010348289064969316":[],"01035006":[],"01039879":[],"01044475":[],"010516485576645508":[6,31],"01060492":[],"010612904886352397":[],"01066519":[6,30],"01066897":[],"01075018":[],"01076611":5,"01076897":33,"01080465e":[],"01084359":[],"01091589":[],"01098247":[],"0110":25,"011076219011379514":[6,31],"011156605304609659":[],"01119738":[],"011208613520466846":[],"011225":2,"01123792e":29,"0113104":[6,30],"01131771":[],"01141119":[],"01161645":[],"0116753":[],"01178857":[],"01179128":[],"01179415":[],"01179792":[6,30],"011818646101922625":29,"01191824":5,"01206221":[],"012073649446193166":[6,31],"0121289":[],"01219292":[6,30],"01220505":[],"01222822":29,"01223198":[6,30],"01231917":[6,30],"01234":[],"01234261":[],"01241284":[],"01244297":[],"01247909":[],"01248754":[],"01250964":[],"01265755":29,"012658":29,"01266999":[],"01267007":30,"0126711":[],"01288787":[],"01290947":[6,30],"01295356":5,"01305415":[],"013121574015585152":[6,31],"013121574015585155":[6,31],"01315875":[],"01318643":[6,30],"01329403":[],"01335628":[],"0134113":[],"01346122":33,"01347916":[6,30],"01348565":[6,30],"01349244":[],"01353638":[],"01367553":[6,30],"0137297":[],"01373484":[],"01376216":[],"01393496":[],"01396231":[],"01397146":[6,30],"01405935":[6,30],"01406777":[],"01409478":[],"01416528":[6,30],"01428546":[],"01433809":5,"014436800088904942":[6,31],"01449782":[6,30],"01458337":[6,30],"014586":29,"01458611":29,"0146081":[6,30],"01463049":[6,30],"01480256":[],"01493365":[],"014934":33,"01499192":[],"01506354":[],"01507238889517706":[6,30],"01507238889517717":[6,30],"01511937":33,"01527928":[],"01530321":[],"01531845":[6,30],"01532738":[],"01543076":[],"01549377":[6,30],"01551724":[],"015518":[],"01551815":[],"01552874":[],"01558197":5,"01572":33,"01573062":[],"01573768":[],"01594452":31,"01597256":[],"01620955":[],"01624447":[],"01625794":[],"01628578269596628":[6,31],"01633913":[6,30],"01634224":[],"01640891":6,"01643795":[],"0164974":[],"01654574":[],"01655318":[6,30],"01655384":[],"016587414993043573":[6,31],"01681612":[],"01682652":33,"01691985":[6,30],"0169643":5,"01706166":[],"01708375":[],"01708781":[6,30],"01708852":[6,30],"01713366":[6,30],"01717549":[],"01724499":5,"017355848195593347":[6,31],"01735584819559336":[6,31],"01747915":[],"01756114":[],"01759442":[],"01760144":[],"017665":5,"01772779":[],"01779091e":[],"01783096":[],"01783414e":29,"0178462":[],"01793261":[],"0179826":[],"01811279":[],"01817048":[],"018232":29,"01826811e":[],"01827225":[],"01831050e":[6,30],"01831190e":[6,30],"01844822":[],"01863203":[],"01866537":[6,30],"01869515":[],"01873344":11,"01873869":5,"01881237":[],"01897462":[],"01898855":[6,30],"01905883":[6,30],"01908936":[6,30],"01922269":[],"0195302":[],"01954342":[],"01963611":[6,30],"01969145":[6,30],"01975416527185249":[6,31],"01975848":[6,30],"01979808":[],"01999575":[],"02":[0,4,6,7,12,28,29,30,32],"02014577":[],"02016185":[],"02024962":[6,30],"02026756":[],"02031987":[],"02032056":[],"02054837e":[6,30],"0206033":[],"02068067":[6,30],"02073509":5,"02077431":30,"02090304":[],"02091662":[],"02098261":[6,30],"02102403":[],"02103315":33,"0211429":[],"02123176":[6,30],"02126205":[],"02137508":22,"02138683":[],"02148021":[],"02151521":[],"021544346900318832":30,"02156196":[],"02156565":[],"021592704588025022":[6,31],"021592704588025025":[6,31],"02164667":[],"02175561":22,"02183817":[],"02189863":[],"02198702e":[6,30],"02198703e":[6,30],"022":[],"02207054":[],"02208512":[6,30],"02214409916811925":25,"02218076":[],"02228115":[6,30],"02229529":[6,30],"02235723":[],"02252765":5,"02286267":[],"02287468":[],"02296298":[],"022999498260366312":[6,31],"0231353":[],"0232":[],"02322594":[],"023295599127611474":[],"02330799":[],"02334754":[],"02338085":[],"02345858":[],"02348765":[6,30],"02354386":22,"02355756":[],"02358547":[],"02361665":[],"02365049":[6,30],"02374496":[],"02386932":[],"0239126":[],"024":[],"024011020121022356":[],"02404706":[],"0241039":[],"02424794":31,"02432309":[],"02441422":[],"02446604":[],"02447063e":[],"0245528":[6,30],"02456":33,"02459084":33,"02472936":[],"024792624800382218":5,"02492265":5,"02496085":[],"02498832":[6,30],"02500488":[],"02502325":[],"02503753":[6,30],"02511518":6,"02522069":6,"02527621":[],"0253208":[],"02540212":[],"02545":33,"02546675":31,"02552966":22,"02557617":[],"02564828":[],"02566356":[],"025709":[11,29],"02572685":[],"02576358":[],"02576685":[],"02586427":[6,30],"02594314":[],"02601643":[],"0260906":[6,30],"02612988e":29,"02616812":[],"02622039":[],"0262517":[],"02625193":8,"02629144":33,"02631942":[],"02632742":[],"02649469":[],"026495":[],"02651857":[],"02654585":[],"02660572763718093":[6,31],"026605727637180936":[6,31],"02664408":[],"02693015":[],"02693858":30,"02707227":5,"02723445":[6,30],"02735547":[],"02754248":[],"027609773491022525":[6,31],"02760977349102253":[6,31],"02769274":[],"02784266":[],"02787184":[],"0279886":[],"02808229":[],"02809972":[],"02850506e":29,"02857":4,"028638258927275215":[],"02895918":30,"02900153e":33,"029003":[],"02901273e":29,"02909574":[],"02920675":[],"02923006":[],"02925855":[],"02928194":[],"02944152":[],"02946852":[],"029483":5,"02965159":[],"029733":29,"02976145":[6,30],"02980537":[],"02993573":[],"02994311":5,"02f":[6,23],"03":[1,6,29,30],"03015288036252618":[],"03032441e":[6,30],"03033791":[],"0303586629618948":[],"03057995":[],"030645975175292262":[],"03076019":[],"03077640549":4,"03099776":5,"031":[5,30,31],"03115122":[],"03158013":[],"0317606":[],"03177331":22,"03196357":[6,30],"03201179e":[],"03201832":[],"03205795":[],"032142":[],"03214247":[],"03214829":[],"0321956":11,"032196":11,"03239393":[],"03244944":[],"03247316":[],"03251863":5,"03256632e":1,"03267527":[6,30],"03279636":[6,30],"03285784":[],"0328643":33,"0330308045183194":[6,30],"0330308045187757":[6,30],"03306538":[],"03308408":5,"03309191e":29,"03311432":[],"03313259e":29,"03317599":[],"0332335":25,"033233504714921":25,"03358833":[],"03365012":[],"033657685071527665":[6,31],"0337609":[],"03382942":28,"03396658":[],"034":[],"03400724e":29,"03404758":[],"034048":[],"0342028":[],"0342458":[],"03447512":[6,30],"034476":11,"03447649":11,"034557":29,"03476611e":29,"03479236":[],"03511387":[],"03529801":[],"03538673e":29,"03562355":[6,30],"03568439":[6,30],"03578526":[],"0359565":5,"03596557":[],"0362483569261072":[],"03630548":[6,30],"03642173":[],"03648711":[],"036527092051294":[],"03662823":[],"03664879":[],"03681479262838276":[],"0369544130635358":[],"03701105":[],"03707133":11,"037813671417389005":[6,31],"03781367141738902":[6,31],"03796359":[],"03814292":[6,30],"03815288":[6,30],"038300":[11,29],"03837":33,"03844073":[],"03846169":30,"03853268":33,"03853313":[],"03868372":[],"03872795610436844":[],"03873507":[],"03887801":[],"039039":5,"03916813":[],"03948301":[],"03960002":[],"03976851":33,"03979291":[],"039967668952797":[6,30],"0399676689527975":[6,30],"04":[1,6,11,29,30],"040102":5,"04010697":[6,30],"04018985":[],"04046513":[],"04061345":[],"04063602":[6,30],"040684":[],"04072235":[],"0408223":[],"041":[6,9],"04101344":[],"04108038":33,"04110474":[],"0411487294305088":[6,30],"0411487294305226":[6,30],"04161572":[],"04191323":[],"04193203":29,"042060":[],"04206048":[],"042136":[],"04216532":[],"0422":[],"04220758":[6,30],"04224929":[],"04238763":[],"04262217":[],"04295757":31,"043":9,"043072":[],"04307275":25,"04315108":5,"04315855":[],"04323936e":[],"04346721":5,"04353549":[],"04355837":[6,30],"04362":9,"043637":[],"0437499":2,"043839":[],"04389027":[6,30],"044014":[],"04401421":[],"04413243":[],"04423486":[6,30],"04426744e":29,"044334":29,"044613":[6,30],"04487298":[],"0449":[],"04495752":[],"04504728e":29,"045161":[],"045258":[],"04537385":[6,30],"04543942":[6,30],"045630":[],"04566964":[6,30],"0458":9,"04588592":[],"045963":[],"04641529":[],"04648335":5,"04652794":[],"04657426":[],"04664255":6,"046663":[],"046678":[],"046764":[],"04683565":5,"047299":[],"0473916":[],"047447724189861":[],"0474753":33,"047489":[],"04757138":22,"047760":[],"04784395":[6,30],"04794409":[],"048020":[],"04808723":[],"0481872773043029":[6,31],"04832356":[],"04838148":[],"04877931":[],"048781":[],"04892055":[6,30],"04899367":[],"049060":[],"04909093":[6,30],"04912436":6,"049196":[],"04926746":31,"049276":[],"049380":[],"049479":[],"049481":[],"049556996627824":[6,30],"0495569966278269":[6,30],"04955942":[],"04963309":[],"049677":[],"05":[1,4,6,23,29,30,33],"050015":[],"05002471":[],"05005634426334421":[],"05006037":[],"05009826":[6,30],"05029018":[],"050315327923114654":28,"05034088e":29,"05040878":[],"05045":[],"05054319":29,"05060379":[],"05068486":[],"050796":[],"05087018":33,"05098714":[],"05100875":[6,30],"051021":[],"051042":[],"05135047":33,"051368":[],"05141614":[],"051418":5,"051554":[],"051645":[],"051649":[11,29],"0517473":5,"05176711":[],"051787":[],"052010":11,"05201041":11,"05224117":[],"052279218012056844":[6,31],"05227921801205686":[6,31],"052305":29,"052370":[],"05240397":[],"052427":[],"0524497":29,"0525733":[],"05263":9,"052692":[],"052738":[],"052856":[],"05296475":22,"05302":9,"053036":[],"05336637":[],"053387":[],"053417":29,"053462":[],"053599":[],"05364854":8,"053787":[],"05383795":[6,30],"053849":5,"053854":[],"05401912":[],"054197":[],"054286":[],"054434":[],"05447415":[6,30],"054609":[],"054617":29,"054655":29,"054932":[],"055000":[],"05505310046363":2,"055091049054481":[],"05509105":[],"05519999":30,"05533":9,"055477":[],"05549529":[],"055653":[],"055676":29,"055734":29,"055737":[],"05577845931438246":[],"055876":[],"055910":29,"055987":29,"056026":[],"056041":[],"05614483":5,"0562":31,"05623":9,"056287":[],"056328":[],"05641352":[],"056414":[],"05648":9,"05651951":[6,30],"05665429e":29,"05667":9,"056683":29,"056717":[],"056826":[],"056856":[],"05716368155342608":[6,31],"057216":[],"057287":[],"057300":29,"057316":[],"057387":[],"057393":29,"057418":29,"057420":[],"057457":29,"05747369":[],"057514":[],"057607":[],"057609":[],"057722":29,"057835":29,"05785343":[6,30],"05789007":[6,30],"057913350391706":[],"057929":[],"05792927":[],"057951":[],"057961":[],"05796251":[6,30],"057964":[],"05804539":[],"05804744e":33,"05807125":[6,30],"058133":[],"058152":[],"058234":[],"058245":[],"058254":[],"058361":[],"058422":[],"058427":[],"058552":29,"058582":[],"058593":[],"058641":[],"058645":29,"0586484":[],"058721":[],"058770":[],"05883":9,"05884":9,"058854":29,"05888195":[],"058952":29,"058967":[],"058970":[],"058996":29,"058997":[],"059031":29,"059201":[],"059243":[],"059340":[],"059624":[],"059669":[],"059761":11,"05978512":[],"059807":29,"059876":[],"059951":29,"059956":11,"05996":33,"059977":[],"05999":9,"059992":[],"059993":29,"06":[6,29,30,33],"060071":[],"060083":29,"060085":[],"060087":[],"060171":[],"06020264":[],"06020587":[6,30],"060251":[],"060254":29,"060275":11,"060288":[],"060312":[],"06043581":[6,30],"060453":[],"060470":[],"060471":[],"060475":[],"0604888":[],"060490":[],"060547":[],"060629":[],"060631":[],"060652":[],"0606958":[],"060716":29,"06072":33,"060726":11,"060734":[],"060735":[],"060756":29,"060870":[],"060872":29,"060898":[],"060994":[],"061025":[],"061154":[],"061163":29,"061284":[],"061319":11,"061359":29,"061386":[],"061443":29,"061452":29,"061588":[],"061614":29,"061637":[],"061656":[],"061706":[],"061724":[],"061848":[],"061862":[],"061898":11,"061921":[],"06200174":5,"062016":29,"062053":[],"062058":[],"06208238634231949":[6,31],"062161":[],"06216141":[],"062173":[],"062199":[],"062216":5,"062231":[],"062260":[],"062263":[],"062282":[],"062292565":4,"062300":[],"062337":29,"062356":[],"062429":[],"062520":11,"062599":29,"06260611":[],"062616":[],"062624":29,"062637":[],"062691":[],"062700":[],"062797":[],"062853":[],"062874":29,"062932":[],"063017":[],"063019":29,"063048":[],"063061":29,"063064":[],"063080":29,"063130":11,"063133":[],"063161":11,"063163":[],"063197":11,"063206":11,"063260":29,"063294":11,"063332":11,"063354":[],"063395":11,"063518":[],"063525":[],"063526":[],"063536":5,"063545":[],"063549":[],"063560":[],"063637":[],"063653":29,"063673":[],"0637712":[],"063781":[],"063786":5,"063791":[],"063802":[],"0638484":33,"063862":[],"063894":29,"06392846":[],"063933":11,"063954":[],"063959":[],"063977":[],"063995":[],"064000":[],"064074":29,"064077":[],"06410638":[],"064107":[],"06416459":[],"064166":[],"06418809":33,"064189":11,"064202":[],"064218":[],"064294":[],"06430789":[],"06432267":[],"064382":[],"064427":[],"064428":[],"06444":9,"06444224":[],"064501":29,"064505":[],"064507":[],"06453579006728324":[6,31],"064547":[],"064573":[],"064604":[],"064606":[5,29],"064609":29,"064615":[],"064668":[],"064690":[],"064695":[],"064699":29,"064728":11,"064739":[],"064793":29,"064820":[],"064834":[],"064873":[],"064878":[],"06491736":[6,30],"064978":[],"065001":[],"065007":[],"065028":[],"065062":[],"065077":29,"065096":11,"065108":[],"065121":5,"065149":[],"065212":[],"065217":11,"065352":[],"065358":[],"06536971":[],"065378":29,"065390":29,"065410":29,"06547790180152355":[6,31],"06547790180152359":[6,31],"065482":[],"065556":[],"065616":[],"065619":5,"065654":5,"065679":[],"065788":[],"065818":[],"065821":5,"065830":[],"065949":[],"065963":[],"066054":11,"066059":5,"066066":29,"066127":5,"066145":5,"066153":[],"066199":5,"066205":5,"06622369":[],"066256":[],"066286":11,"066358":5,"06637":9,"066425":5,"066458":[],"066474":29,"066500":29,"066612":29,"06662069e":[],"066633":[],"066647":29,"066653":[],"0666807":2,"066686":11,"06674611e":[],"066763":[],"066766":5,"06677444e":[],"066778":5,"066787":29,"066824":[],"066837":[11,29],"066838":[],"06685171":[],"066854":29,"066855":[],"066865":[],"06690071":[],"066912":5,"066948":5,"066988":11,"066997":[],"066999":29,"067000":5,"067003":[],"067074":[],"067141":[],"067164":[],"067168":[],"06724062":5,"067270675787016":[],"067367":[],"067374":11,"067380":[],"067400":11,"067431":11,"067511":11,"067515":5,"067539":5,"067637":29,"067671":[],"067707":29,"067764":[],"06777772":[],"067793":[],"067809":[],"067843":11,"067922":11,"067948":[],"067967":[],"067974":11,"06804775":[],"06808421":22,"068116":[],"068206":[],"068215":11,"068264":29,"068268":[],"068307":29,"068353":5,"068360":[],"068369":[],"068394":11,"068408":[],"068441":29,"06844519414009445":[6,31],"06844519414009446":[6,31],"068446":[],"06849372":[],"068494":[],"068504":[],"068512":5,"068533":[],"068539":11,"068587":11,"068592":[],"068607":[],"068629":29,"068680":[],"068684":[],"068727":29,"068758":[],"068775":11,"068827":11,"068843":11,"068897":[],"068903":[],"068906":29,"068912":[],"068924":11,"068967":[],"068977":11,"068985":11,"06901081":[],"069028":29,"069045":11,"069129":11,"069179":[],"069203":5,"06926192":28,"069270":11,"069293":5,"069317":[],"069320":11,"069322":[],"069399":[],"06942115e":[],"0694226":[],"069427":[],"069439":[],"069452":29,"069484":[],"069486":[],"069584":29,"069802":[],"069811":11,"06984502":[],"069866":5,"069873":[],"069885":[],"069907":5,"0699274":25,"069978":[],"069979":[],"07":[6,29,30,33],"070024":11,"070027":11,"070043":29,"070095":[],"070098":11,"070135":5,"070146":29,"070150":[],"07016":9,"07017":9,"070183":11,"070213":29,"070274":11,"070275":11,"07039":9,"070432":[],"070441":[],"070457":29,"070462":[],"070514":[],"070531":5,"070547":11,"070552":5,"070556":[],"070558":[],"070582":29,"070600":[],"070605":5,"070622":5,"07062318":[6,30],"070630":[],"070655":5,"070696":11,"070712":5,"070737":29,"070772":11,"070780":5,"070805":5,"070855":5,"070859":[],"070886":[],"070889":[11,29],"070891":[],"070898":[],"070916":11,"070918":11,"070950":[],"070980":[],"070986":29,"071049":5,"071055":11,"071103":[],"07115":9,"071173":5,"071186":11,"071191":11,"071208":[],"07123177":[],"071252":[],"071279":[],"071291":[],"071294":5,"0713":[0,28],"071314":[],"071356":[],"071379":11,"071433":[],"071436":5,"071437":5,"071449":[],"07145103":11,"071530":[],"071560":5,"071572":[],"071578":[],"071580":11,"07160048164233102":[6,31],"07160048164233104":[6,31],"071608":[],"071638":5,"071643":11,"071655":[],"071656":11,"071680":5,"071758":[],"071803":[],"071831":[],"0718316":[],"071868":[],"071921":[],"071935":[],"071937":[],"072000":29,"072015":5,"072031":5,"072037":5,"072092":[],"072111":29,"072132":[11,29],"072147":[],"07218473624441492":22,"072200":11,"072209":[],"072286":[],"072290639572326":25,"07229064":25,"072304":[],"072344":[],"072380":5,"07241855":[],"072476":29,"072500":[],"072590":[],"072591":5,"072621":29,"072638":[],"072684":[],"072689":[],"072697":[],"072728":[],"072752":[],"072817":[],"072824":11,"072826":5,"072843":[],"072849":5,"07285":3,"072863":[],"072947":11,"072961":5,"072997":5,"073048":[],"073102":[],"073109":[],"073253":[],"073258":11,"073262":11,"073288":[],"07332248":[],"073339":[],"073405":[],"073408":[],"073415":[],"073422":[],"073499":[],"073514":5,"073528":11,"073576975500551":25,"073598":[11,29],"073612":5,"073644":29,"073647":11,"073672":[],"073685":[],"07373479":[],"07378525":[],"073791":[],"073800":5,"073858":[],"073866":[],"073882":11,"073911":5,"073923":[],"07405556":[],"074067":[11,29],"074084":29,"074112":[],"074114":[],"074115":11,"074130":[],"074210":29,"07421084":5,"074221":[],"07429886e":[],"074323":29,"074368":[],"074374":5,"074417":[],"074454":5,"074531":[],"074561":11,"07456491":5,"07469645":33,"074807":[],"074824":[],"074859":[],"074892":[],"07490892":[6,30],"074971":[],"075176":[],"075177":[],"075198":[],"075239":5,"075289":5,"075298":[],"075302":11,"07531349":[],"075356":[],"075385":[],"075392":[],"075463":[],"075513":11,"075522":[],"075557":[],"075602":[],"075615":[],"075771":[],"075794":[],"075816":29,"075822":[],"075842":5,"075876":5,"075885":25,"075889":29,"075909":[],"075956":[],"075978":5,"076066":5,"076071":5,"076091":[],"076138":[],"076150":29,"076161":[],"076167":[],"076232":5,"076244":[],"076259":[],"076321":5,"076333":[],"076351":[],"076389":[],"076393":[],"076396":[],"076418":[],"07641937":31,"076434":11,"076435":[],"076436":[],"076448":5,"076459":[],"076479":11,"0764924":[6,30],"076508":11,"076542":[],"076618":[],"076638":[],"076648":11,"076679":11,"076693":[],"076776262573027":[],"07678":9,"076833":[],"076857":[],"076859":[],"0768805855280187":[],"07692307692307693":9,"076934":[],"076938":[11,29],"076947":11,"076968":[],"077035":5,"07712197e":[],"077141":[],"077168":29,"077226":[],"077248":[],"077280":5,"077301":[],"077304":[],"077329":[],"077341":[],"077382":[],"077391":5,"07740964":25,"077411":[],"07745579":22,"077460":29,"077485":11,"077486":[],"077516":[],"077529":[],"077539":[],"077553":[],"077567":[],"077601":11,"077613":[],"077653":[],"0776532":[],"077683":[],"077736":[],"077745":11,"07776381":11,"077764":11,"07777777777777778":1,"077813":11,"077839":11,"077906":[],"077941":[],"077965":[],"078035":[],"078044":11,"078071":[],"07808426989543932":[],"078110":29,"078118":[],"078123":11,"078146":11,"07820":9,"078210":[],"078238":[],"078268":11,"078282":[],"078284":[],"078313":[],"078324":[],"078336":29,"078359":5,"078363":[],"078386":[],"078447":[],"078540":29,"078541":11,"078544":[],"078557":[],"078573":11,"078588":[],"078636":[],"07864":9,"078684":[],"078688":11,"07871":9,"078731":[],"07890044":[],"078945":5,"078974":29,"078981":[],"078986":29,"079002":5,"079027":[],"079030":5,"079074":[],"079089":[],"079107":11,"079174":11,"079202":11,"079240":5,"079334":[],"079347":[],"079391":[],"079420":[],"07944154":[22,28],"079444":[],"07950356694388497":[],"079510":[],"079670":5,"0796891867672603":[6,31],"079739":[],"079747":11,"07974741":[],"07978850553011713":[],"079887":[],"079903":[],"079946":29,"079947":[],"079953":[],"079959":[],"079976":5,"079977":[],"07998756":[],"079989":[],"079998":[],"08":[9,25,29,33],"080082":[],"080094":5,"080171":[],"080205":[],"080222":[],"08023512":33,"080316":[],"080345":11,"08043851":5,"080453":[],"080549":5,"080555":[],"080616":29,"080630":[],"080657":[],"080702":[],"080706":5,"080747":[],"080764":29,"080832":[],"080903":[],"080947":[],"080987":[],"081038":[],"081103":[],"081195":[],"081217":5,"081221":[],"081235":[],"081252":[],"081276":29,"08131003":6,"0813156":[],"081431":[],"081457":[],"081494":[],"081527":5,"081544":[],"08156108":[6,30],"08165104":29,"081655":29,"081686":5,"081728":[],"08179906":33,"081835":[],"081871":[],"081955":[],"081978":[],"082115":[],"082126":[],"082170":[],"082173":[],"082174":[],"08227668":[],"082303":[],"08233627":[],"082464":[],"082482":[],"08251519":[6,30],"082518":[],"082519":[],"082533":5,"082653":29,"08266769":28,"082742":5,"082764":[],"082784":11,"082785":[],"082803":[],"082857":[],"082971":[],"08299273e":[6,30],"083016":11,"083119":[],"0831367":[],"083179":5,"083182":[],"08318298e":1,"083248":[],"083259":[],"083260":11,"083268":5,"083288":[],"08333333333333333":9,"083342":11,"08336233266":4,"083446":[],"083465":[],"083471":[],"083479":[],"083499":[],"083501":[],"083527":29,"083547":11,"083548":5,"083564":[],"083734":[],"083765":[],"08376632":[6,29,30],"083766322923899":[6,29,30],"0837663229239043":[6,29,30],"083793":[],"083864":[],"083900":[],"08398399377155011":9,"084018":[],"084042":[],"084076":29,"084091":[],"084122":[],"084218":11,"08421808":11,"084255":[],"08426840630693411":[6,31],"08426840630693413":[6,31],"084312":11,"084319":[],"084358":[],"084376":[],"084406":[],"084434":[],"084514":[],"08455":9,"08458591":28,"084619":[],"084637":[],"084695":[],"084702":[],"084712":[],"08474":9,"084809":29,"084910":[],"084915":[],"084963":5,"084967":[],"084996":[],"085079":[],"085120":[],"085139":[],"085145":5,"085222":[],"085294":[],"085353":[],"08536248571780691":5,"085390":[],"08539155":[],"085392":[],"085436":[],"085455":[],"08551306":[6,30],"085518":[],"085548":[],"085592":[],"08576932":6,"085853":5,"085918":[],"08593216":[6,30],"085973":[],"085996":[],"086026":[],"086068":5,"086095":[],"086096":[],"08611111111111111":1,"086125":[],"086212":[],"086230":[],"086239":5,"08624193":[],"086250":[],"086286":[],"086318":[],"086346":[],"086364":[],"086428":[],"086483":5,"08660891":[],"08667591":[],"086694":[],"086712":[],"086730":[],"086799":[],"086808":[],"086809":[],"08687303":33,"08690":9,"08690184845323":11,"086913":[],"086970":[],"08699295e":[],"087210":[],"087424":[],"087429":5,"0875061":[],"08758":9,"08758013":[],"087864":[],"087871":5,"08793554992813543":[],"087988":[],"088023":[],"088029":[],"088030":[],"088038":[],"088102":[],"088127":[],"0881981":5,"088199":[],"08826182458028335":[],"088375":[],"08839544":[],"088574":[],"088651":[],"08871404":5,"08881497884574564":29,"08888888888888889":1,"088970":[],"08902":9,"08931169286872433":[],"08935132374099551":[],"089376":[],"0894015":[],"089404":[],"08946029":[],"0895387":29,"089539":29,"089548":[],"089578":[],"089600":[],"089619":[],"089626":5,"089718":[],"08996":9,"089996":5,"09":[1,29],"090033":[],"090038":[],"09028702":[],"090439":[],"090440":[],"090468":[],"09048717285916912":22,"090624":[],"09070064":22,"0907958":[],"090985":[],"091015":[],"091068":[],"091159":[],"09135059e":[],"091362":5,"091365":[],"091388":[],"09156055":[],"09163947":6,"09166666666666666":1,"0917":9,"09171886":[],"091731":[],"092252":[],"092347":[],"092401":[],"09246293455466892":28,"092486":[],"09251":9,"092607":[],"092608577084595":[],"09291556244521161":[],"09291806":[],"092956":5,"092982":[],"0930438":[],"093094":[],"09346106":[],"093554":[],"09368":33,"09398153":[],"094044":[],"0940821989627646e":[6,30],"0940821989652176e":[6,30],"094099":[],"094254":[],"094362":[],"094439":[],"09444444444444444":[],"09487358":22,"09529067":[],"095465":[],"095805":[],"09590269e":29,"09604976":[],"09609807":5,"09610694":25,"096270":[],"096365":[],"096511363983559":[],"0973900819831327":25,"0974119":22,"09744":9,"09755017":[],"09780":9,"09790216282081063":[],"09791":9,"09808622":[],"09829902":25,"098414":[],"09846933":[],"09861229":[22,28],"09903804":8,"09913654":[],"09919198949275869":[6,31],"09928714":22,"09951287404314545":1,"0n":[0,28],"0x0006":[3,4,14],"0x120cc1b20":33,"0x121cf68e0":33,"0x1273ffac0":[],"0x1279bd460":[],"1":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,19,22,24,25,26,27,30,31,32,33],"10":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,22,23,24,25,26,28,29,30,31,32,33],"100":[0,1,2,3,4,5,6,8,9,10,11,13,14,15,16,17,22,25,26,28,29,30,31,32,33],"1000":[0,1,2,4,5,8,11,13,14,21,25,28,29,32,33],"10000":[2,5,6,10,11,13,25,30,31],"100000":8,"10001":10,"100083":[],"10008326":[],"1000911":[],"1001":[9,25],"1002":25,"10029389":33,"1003":25,"10030":9,"10036694":[],"10041812":30,"1005":25,"1007":31,"1007711427354898":[6,31],"1009":25,"10107914":25,"1011":25,"101150":5,"10115017":5,"101263":[],"1013":25,"1013904243":25,"10141413e":[6,30],"1015":25,"1015491":33,"1015am":28,"1023":25,"10230":9,"1024":3,"1026":25,"1027":25,"103":1,"1030":25,"10340":9,"1037":25,"10378326e":1,"1038":25,"10391807":[6,30],"10398646080125032":[6,31],"10398646080125035":[6,31],"1040":25,"10405456":11,"10430":9,"104411":29,"1047":25,"10499357":[],"105":30,"10520":9,"10539984":[],"105400":[],"10541723644166373":[],"10555555555555556":1,"10572":31,"10589577":5,"10595991":[],"10604579e":29,"106095":[11,29],"1064601390492845":25,"10646014":25,"10719554":[],"10747579":5,"107476":5,"1074792":[],"1079":31,"10790125813226321":29,"108":[6,9],"10837392":22,"10913":6,"10931453":[6,30],"10960":9,"10994958":[],"10th":9,"10x":[0,28],"11":[0,1,2,5,6,7,8,9,10,11,12,13,15,16,22,23,24,25,26,27,28,29,30,31,32,33],"1100":25,"1101":25,"11022302e":5,"11042239":[],"11081083":[],"1108407":[],"111":[1,7,12,32],"11100":9,"11113486":11,"111135":11,"1118933":22,"11202337":31,"112383":[11,29],"1124":9,"112619":[],"11261935":[],"11265643e":29,"11277166":5,"112772":5,"11382896":30,"11388888888888889":[],"11390":9,"114384":11,"11438414":11,"11439407":[],"114550":31,"11462415":5,"11482289e":[6,30],"1148541":[],"11507992e":1,"115356":[],"11535632":[],"11547777218872497":[6,31],"11548661":[],"115822":6,"11590":9,"11596834":[],"11660":9,"11666666666666667":1,"11694":23,"117":8,"11715109e":29,"11744554e":[6,30],"11747908":22,"11780":9,"118":[0,2,7,32],"11830757":30,"118318":29,"1184":31,"11840":9,"11844773":[],"11868033":[],"11890":9,"119":[0,2,7,32],"11922031":[],"11930916":28,"11992194":11,"119922":11,"119936":2,"12":[0,1,2,3,4,5,6,7,8,9,11,12,22,25,27,28,29,31,32,33],"120":[0,2,3,7,32],"1203":9,"1203284":8,"120435":5,"12043521":5,"12044974":29,"120450":29,"12081773":[],"121":[8,9,10],"121292":[],"1215pm":[26,28],"12182967":[6,30],"122":[2,8,9,10],"12222222222222222":1,"12235593":[],"123":2,"12318726e":[6,30],"12330033":29,"12333649":[6,30],"12363332":22,"123711":6,"12380":9,"12382443":[],"124":[0,28],"12400":9,"1242":8,"124228866018077":[],"12498355":[],"12536737":33,"12552073e":[6,30],"12591227":29,"126":9,"1261":9,"12618549":5,"1265":9,"127":4,"1271":6,"12777777777777777":[],"12790":9,"128":[3,4,13,33],"12829994e":29,"12846660e":29,"12871842":29,"129012":6,"12952339":30,"12957454":25,"1297":9,"1298":9,"129963":31,"12it":[],"12pm":[26,28],"13":[0,1,2,5,6,7,9,11,12,18,22,25,28,29,31,32,33],"130":9,"13003291":[6,30],"13024288":[],"13035147135400782":11,"13040489":25,"13055555555555556":[],"13055762":[],"130694":29,"13069442":29,"131":9,"13134148011170077":[],"13137881":[],"131379":[],"13152828":[],"13164176":28,"132":9,"13220608e":[6,30],"1325":6,"1326":9,"1326197715":28,"13280":9,"133":[7,32],"1332":31,"134":30,"135":9,"1350":31,"13535942":[6,30],"13564988":28,"136":[0,7,32],"13600596":[],"13607502":[],"13646574":5,"13661243e":[6,30],"13663125":28,"13675593":[],"136756":[],"13679863":[6,30],"13699574":[],"136996":[],"137":[0,7,32],"13729154":28,"13740":9,"137652":[11,29],"138":[0,7,32],"13819592e":29,"13820":33,"13825388":[],"13847167":[],"1385":6,"1385510301651882":[],"13865173":5,"138775":[11,29],"1388888888888889":[],"13890":9,"13896095":28,"139":[0,7,32],"13911934":25,"13913033":[],"139224":[],"1392559585020426e":[6,30],"139255958997547e":[6,30],"13956654":[],"13it":[],"14":[0,2,4,5,6,7,8,9,10,11,12,22,25,27,29,31,32,33],"140":[0,2,7,9,32],"14021063":[6,30],"14046224e":[],"141":[0,2,7,32],"14100":9,"14104212":25,"1412":33,"14122256":[],"1416398":[6,30],"14174745":[6,30],"1418":9,"142":[0,7,9,32],"14213876":[],"14250":9,"14260706":[],"14277718e":29,"143":[0,2,7,9,32],"14369927":[],"1437":1,"144":[0,7,32],"14400":9,"1440501043841336":1,"1441031":[],"14440":9,"1446729567":4,"145":2,"14523337e":[],"14550854":11,"145509":11,"14568914":30,"14599499":[],"146":2,"14629156":31,"14638":33,"14643345e":[],"14708":[],"14710":9,"14716":6,"14722222222222223":1,"147400":[11,29],"147420":[11,29],"147545":6,"1477190177681485":[],"147836":[],"1479":9,"148":[3,4,14],"14812206":6,"14824254":[],"14825560e":29,"14828178":22,"14829228":[],"14841322":28,"1488598":[],"149063":[],"149266":6,"14934258650797513":[],"149353":31,"149388":[],"149466":[],"149483":[],"149904":[],"149921":[],"14g":[6,31],"14it":[],"15":[0,1,2,4,6,7,8,9,12,13,15,16,17,25,28,31,32,33],"150":[3,4,8,9,14],"15005476":5,"150527":[],"15079545":[],"15098090e":[6,30],"151":[3,4,14],"15130074e":[6,30],"151522":[],"15173932":[],"152":9,"15200":9,"15202654":[],"152494":6,"1527777777777778":[],"15283463":[],"153":[3,4,14],"153036":29,"15313054":31,"15384615384615385":9,"154":[3,4,14],"155":[3,4,9,14],"15546887":[],"15593478":[],"156":[3,4,14],"15605625":33,"15670921":33,"156956":5,"157":[3,4,14],"15709522":33,"157128":[],"1571284":[],"1575":9,"158":9,"15833751":[],"1587":9,"1590":9,"15924557e":29,"15951871":33,"1598058":[],"15990":9,"15991124e":[],"15am":28,"15g":[6,31],"15it":[],"16":[1,2,3,4,5,6,8,9,10,19,25,28,29,30,31,33],"1603":3,"16063661":[],"16111111111111112":1,"16118615":[],"16158074":[],"161581":[],"16172219e":[],"16188604":[],"16201555":[],"16211139":5,"16220":9,"162246":5,"16231451":4,"1625":9,"1628":9,"16292908":22,"16304863":29,"163049":29,"1630775253":1,"16312434e":[],"16342407":5,"16343471":[6,30],"1636508":[],"16384":3,"16407038":28,"16411163":[],"164112":[],"16431956":[],"16500":9,"165272":[],"16535252":28,"16567361":[],"166":9,"1664372":[],"166540":[],"16654048":[],"16710567":28,"16777789":22,"167787":5,"16791183":22,"168":9,"16805821e":[6,30],"16879134":[],"17":[1,2,5,6,7,8,9,13,22,25,29,31,32,33],"17021424":25,"1709":9,"171":30,"171525":29,"1715252":29,"17174962e":1,"17214545":22,"17222222222222222":[],"1726":9,"17260271":[],"17272182":25,"17300":9,"1731":9,"1732863504708044":[],"17367225":[],"17377547":[],"17405911e":[],"17446471":6,"17483760":31,"175":31,"1752":9,"175300":29,"17547294e":[],"17563274":[],"17567503":[],"17641709":[6,30],"17643975e":29,"176762":[],"17676247":[],"1767857":28,"17739525":28,"17748881e":33,"17777777777777778":1,"17801022":5,"17834506e":[],"17856374":[],"17861098":6,"17861414":[],"17869861e":29,"179":[],"17913653":[],"17917768":5,"1793417":[],"17934801":[],"17949575":5,"17953942":11,"1797":[1,3],"18":[2,6,7,8,9,10,13,25,31,32,33],"180":2,"1801709":30,"18019623e":[],"18029127":5,"18043393":25,"1807":4,"18085537":[],"1809":9,"18094575":[],"181":9,"1810415856976313":[],"18118338":[],"1812":9,"18120973":[],"181210":[],"18147009":[],"181766185664273":[],"182086698929565":[],"1821":9,"18234308":[],"18277213":[],"18285689e":[],"18307821":30,"18333333333333332":[],"18383522":29,"18388":6,"184":9,"1840":31,"18409254":[],"18418938":[],"184519":29,"18485685":[],"184866696796263":[],"18497496":11,"184975":11,"185":30,"18501900e":29,"18510775":[],"1860":9,"18611111111111112":[],"18613217e":[6,30],"18660":9,"18670072e":29,"18673098":11,"18702469":22,"18742521":[],"18816387":[],"18824338":[],"18840034e":[],"189496":29,"189622":29,"19":[2,6,9,15,25,28,31,33],"19009085621304586":[],"190529":[],"19052935":[],"19069576e":33,"19166666666666668":1,"192":31,"19207979":5,"19220":9,"19299283":[],"1940":0,"194042826649355e":[6,30],"194042826815211e":[6,30],"1943":12,"19433318":[],"1944":6,"19547923":[],"19559737e":29,"1956":9,"19569961":[6,29,30],"19588651":33,"19661197":[],"19677112":[],"1970":[22,28],"1973":9,"197370":[11,29],"19740":9,"1979":[6,31],"19791352":[],"197914":[],"19800":9,"19849513":28,"19852045":[],"1_1":12,"1_2":12,"1_3":12,"1cm":[0,8,10,25,28],"1d":[1,2,3],"1e":[1,2,4,13,14,33],"1e10":14,"1e4":6,"1f":1,"1k":22,"1n":[0,28],"1x":[0,28],"2":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,19,21,22,23,24,25,27,31,32,33],"20":[0,1,2,6,7,8,9,13,19,25,26,28,30,31,32,33],"200":[0,2,3,4,8,9,10],"2000":[0,29],"20015436":6,"2004":[13,32],"20051449":[],"2006":27,"2008":28,"2010":1,"2011":1,"2014":4,"2015":1,"20158083":5,"201581":5,"2016":[0,28],"2018":[0,6,29,31],"2019":[8,9],"2021":[6,14,29,30,32],"20218457":[],"2022":28,"20228273":[],"2023":23,"2024":[15,16,17,18,19,20,28,29,30,31,32],"202698":[],"2026985":[],"2027":9,"20277777777777778":1,"20347912":[],"20357736":[],"20367355":22,"20375464":[],"204049":11,"20404927":11,"20480187":[],"204802":[],"20500":9,"2060":9,"20601797e":29,"20608548e":29,"20651434":[],"206664":5,"20666447":5,"2069":9,"20728198":[],"207545":[11,29],"20755569":[],"2077068":[],"20775115":[],"20833333333333334":1,"20834188":[],"20867052175034223":[6,31],"20912557":[],"20916295":29,"20980":9,"21":[0,1,2,5,6,7,9,12,13,22,28,29,31,32,33],"210340":[11,29],"21058097":5,"21070843":28,"21093775":6,"211":[],"21130":9,"2116753732":4,"21169159e":[6,30],"21192602e":[],"212":[],"21277816e":29,"213":[],"213103":[11,29],"2131067":22,"21332621":0,"21333766":28,"213743":[11,29],"21390371e":[],"21430643e":[],"21444055":25,"21517262":6,"21531156":[],"21565007e":29,"21596432":6,"2160073466353432":[],"216290":[11,29],"21631786":28,"21655059e":29,"216683":[11,29],"21680864":[],"21699817":[],"21805426":[],"21813899e":[],"21998973":[],"22":[0,1,2,5,6,9,12,13,22,28,29,31,33],"22044605e":[5,29],"221":8,"221180":29,"2216":9,"221666864828611":[],"22169087":[],"2218":9,"221805":2,"221921":5,"22217237e":29,"222400":29,"22467274":31,"225":4,"22528536":[],"2257449":[],"22592946e":[],"226014":[],"22601408":[],"22667819":[],"22688898":[],"22690428":5,"22755839e":[],"22810365":[],"228104":[],"22842468702219465":[6,31],"2284246870221947":[6,31],"22847924":5,"22849742":[],"22871":33,"22919456":[],"2293":2,"2294":2,"2296":2,"2297":2,"22977659964799":[],"2297766":[],"22it":6,"23":[1,2,6,9,12,15,20,22,28,31],"23002365e":[6,30],"23076923076923078":9,"23093598e":[],"23139242":[],"23164401":[],"23167717":5,"232435":29,"23303727":22,"23333333333333334":[],"23344210e":29,"2338675":29,"233868":29,"234":6,"23423987":[],"234496":5,"23449607":5,"23472994":[],"23481471":28,"2351":6,"23526911":[],"23528337":31,"235969":[],"23596934":[],"2364":9,"23663482":22,"2373286546935638":[],"23794815":25,"23847441":[],"239":31,"2397":9,"23971032":29,"23994188e":[],"24":[0,1,6,9,22,28,31,33],"2401":23,"24032019":[],"24071032":[],"24106503":[],"24140":9,"24159785":29,"2416":9,"24175744e":[6,30],"2419":9,"24224776e":[],"24254071":[],"24284399":[],"2430":9,"24346138":25,"24369936":[],"24377554":[],"243776":[],"24390":9,"24398826":[],"24433117":[],"24444444444444444":[],"24454968":[],"24485814":33,"24493666":31,"246":2,"24613581":28,"24640494":33,"24688853":[],"24692014":[],"2475908482537097":[],"24759085":[],"24768421e":[],"24780663":22,"24829908":5,"24856992e":[],"24906604e":[6,30],"24it":[],"25":[2,3,4,5,6,8,9,11,22,23,29,31,33],"250":[2,4,7,9,32],"25000":0,"25185716":30,"251879":29,"252008":5,"25200841":5,"25233253":[],"252333":[],"252436":29,"25343155":31,"253891":[],"25389111":[],"25458506e":[],"2546186":[],"254619":[],"2546817701709956":[],"255":3,"255001":29,"25512598":[],"25555619":[],"256":[2,4],"25617655e":[6,30],"25617658e":[6,30],"25673276":[],"256733":[],"25695398":31,"25705685":[],"2572":9,"2575":9,"25879315330607":11,"259153":[11,29],"2597":9,"25970297":[],"25986026":[],"25989189":[],"26":[6,9,16,25,31,33],"26001134":25,"26048873":[],"26113912":[],"26124692":6,"26152075":28,"26254957e":29,"262648":[],"26264849":[],"26281735":[],"26292364":31,"26297455":29,"26301436":5,"26307235":[],"2630723514841553":[],"26321660e":29,"26378176e":[],"26409315307910025":[6,30],"2640931530791004":[6,30],"26464303e":[],"26479234":[],"2650":9,"265109911":4,"26527089":22,"2654":9,"265868":[],"26586817":[],"2662452":[],"2666905":28,"26680052":[],"266801":[],"26710969":5,"26715191":[],"26775644":[],"26780278":5,"268":9,"26814548":6,"26817703":[],"26995402":29,"27":[0,1,6,20,31],"27065633":30,"271260217275557":25,"27126022":25,"27231287":28,"27352535e":[],"27470622":[],"27482829e":29,"2750":9,"2751616":[],"27597777e":[],"27600259":[],"27602210e":[],"27623637":[],"276263":[11,29],"27700":9,"27760":9,"2781456":[],"27861634e":[],"27924636":5,"27933134":22,"27it":[],"27n_":25,"28":[1,3,4,6,9,31,33],"28000355":[],"280004":[],"28021598":28,"280573":5,"280647":[11,29],"28109198":[],"2813829":[],"28183460e":[],"28205578e":29,"28253033":22,"282727":[11,29],"2830637392":4,"28316949":[],"28336218e":[6,30],"28390":9,"28391978":29,"28399125":[],"28415767":[],"28443039":31,"28457291":33,"28475098":8,"28496213":28,"28542801":[],"2861":25,"2871":9,"2873":9,"2876045":[],"2882":25,"2885519":[],"2886":25,"2890":[0,28],"2892":25,"28923":[],"28956161":[],"2895786617507":11,"28it":[],"29":[2,6,9,31,33],"29015871":[],"29033075e":[],"29100624e":[],"291056":[],"2915":25,"29167186":5,"29223521":[],"29238145":[],"29253213e":[],"29306584e":29,"2931":28,"29350":33,"29390668":[],"29398019":[],"29491144e":29,"29541992e":[],"29620357":[],"29653038":33,"2968":28,"297648":5,"29764815":5,"2976637":[],"2980":28,"298037":[],"29803738":[],"29822833":[6,30],"29860173":[],"2986082":[],"29861395":[],"29881308":[],"2990":28,"299748":29,"2_":12,"2_1":12,"2_2":12,"2_3":12,"2_i":12,"2_m":[6,25,31],"2_t":[13,33],"2_x":25,"2b":25,"2c8f433990d1":33,"2cm":8,"2d":[1,3,11,12,21,28],"2e":[6,31],"2f":[0,7,9,10,11,12,28,29,32],"2g":2,"2g_i":2,"2k":3,"2m":[6,31],"2n":[0,2,3,28,29],"2nd":9,"2p":25,"2pm":26,"2pt":4,"2x":[0,3,8,13,28,33],"2x_ix_jy_iy_j":8,"2x_j":8,"2y_i":10,"2y_j":8,"3":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,21,22,23,24,25,26,30,31,32,33],"30":[0,1,2,4,6,7,9,10,13,16,26,29,31,32,33],"30000":[0,28],"30005983":[],"30010":9,"300231":5,"30023144":5,"30119421":8,"30124108":[],"30190897":11,"301909":11,"302":31,"30258509":[22,28],"30269539":22,"30283188":30,"303":6,"30306759":[],"30334592e":[],"30387411e":[],"30400113":[],"30442964":29,"30466214e":[6,30],"30506075e":[],"30607268":33,"3072":3,"3076923076923077":9,"30787294":6,"30915293":[],"309153":[],"30916988":[],"309170":[],"30940":9,"3096154":[],"30982436":[],"3099":31,"30it":[],"31":[2,12,22,25],"310579":29,"3105791":29,"310957":[],"31095745":[],"31160886":[],"31162122":[],"312":30,"31227657e":[],"3123314713548606":[6,31],"31248425":[],"31276579e":[6,30],"313":30,"313155":11,"31315504":11,"31318084":5,"31453949":[],"31457796":5,"314869":[],"31486917":[],"315":[6,30],"3155":[0,5,6,30,31,32],"31555734196707536":[],"31571995":[],"316":30,"31664443e":33,"31718909":11,"31727523":[],"317367":11,"31849289":28,"31876431e":[],"31896852":8,"31936237":[],"3194467":[],"31it":[],"32":[2,3,4,6,8,12,13,22,25,33],"3200":1,"32003025":[],"320656":[],"32065614":[],"32068736":28,"3207":31,"32084559e":29,"32149601703519115":[6,31],"3214960170351912":[6,31],"3215":9,"323059":5,"32305911":5,"323184775146844":[],"32318478":[],"32393078":[],"324":2,"32419549":[],"3241988":[],"3245":2,"32450054":29,"3250":1,"325228546249804":[],"32522855":[],"3260513":[],"3262":6,"326238":29,"32641434":28,"32651488":[],"32684035":[],"32733949":[],"3280928":[],"328093":[],"32906581":[],"32932635":33,"32it":6,"33":[9,12,22,26],"33000573":28,"33025801":[],"33049619":25,"33062878":[],"330629":[],"33066907e":[5,29],"33096549":22,"33107417":[],"33145794":[],"33166055e":5,"331939":29,"33212971":[],"33217312":25,"33220123":[],"33235647":[],"333":[7,32],"33532886":28,"33596404":[],"33615742":[],"33675308":[],"33734605":22,"33742926":28,"33826500e":[],"3388112":[],"33978889":[],"33it":[],"34":[9,22],"340071371496255":29,"34026086":[],"3403":9,"340782":[11,29],"34114547":5,"34225662":22,"342680":29,"34271514":[],"34332677":[],"34346829":[],"3436":[0,28],"34367970":6,"3437":[0,28],"34412923":29,"344176915013831":[],"34427423":[],"34483937":[],"34483955":28,"34568909":[],"34569596":5,"34598722":22,"34599598":[],"346000154268618":22,"34620097":33,"34654596":[],"346546":[],"34661376":[],"346614":[],"3480527":25,"34904819":[],"35":[0,6,17,23,26,28],"35018806":[],"35098705":[],"35140":9,"3514835":[],"351636":[11,29],"35182854":5,"35196964":[],"35243372":[],"35275513":[],"35320952":[],"35354073":[],"35432563":[],"3544313922":6,"35470445e":[5,29],"35506347e":29,"35520169":[],"35533773":6,"35537114e":[],"35613536e":29,"356399":29,"356673":[],"35667342":[],"35714377":[],"35731585":28,"35736":33,"357508":29,"3581341341":4,"35870701":25,"359":[5,30],"35957915":[],"35966688":[],"35980374":28,"35986305":[],"35it":6,"36":[0,5,6,23,25],"360":1,"36091273":[],"3613":9,"361541":5,"36154104":5,"361556":29,"36185989":[],"3621311":5,"36235052e":[],"36303682e":29,"3632959111950474e":[6,30],"363295916366933e":[6,30],"36339156":[],"36353321":28,"36482524":[],"36545697e":[],"3655222":5,"366375489616074":[],"367":[2,9],"36880327":22,"36895644":31,"369139":[11,29],"36it":6,"37":[9,23,32,33],"37013105":22,"37055062":[],"370782966":4,"37093787":[],"37135473":[],"37153115":28,"37175575":33,"37239927e":29,"3727791":28,"37396662":[6,30],"37415625e":29,"37449168":22,"37454707":22,"374675":[],"37467515":[],"37532078":[],"37582891":[],"375829":[],"37600869":28,"37685349":[],"37700967e":29,"377372":29,"37737221":29,"3777801602":6,"378271":[],"37827145":[],"37837864":[],"37900111":[6,30],"37919989":28,"38":[0,9,23,25],"380":9,"38102552":[],"38135733e":[6,30],"3817475779":[6,31],"38198866":28,"38203725":[],"38259084":33,"38298234e":29,"38337498":[],"38381781":[],"38399622":[],"38440469":[],"38460453":22,"38461538461538464":9,"38461539":33,"38592549":25,"386":9,"38612299e":29,"386161":[],"38616125":[],"38618024":[],"38629436":[22,28],"387":31,"387620":11,"38762019":11,"3882273":[],"38827994":6,"38865681e":[],"38916861e":[6,30],"3892":31,"38934047":28,"38962192e":[6,30],"39":[0,9,26,28],"390334838933238":25,"39033484":25,"39039235":22,"3908470004999506":[],"39090680e":[],"3910042":28,"39197698":29,"391977":29,"39214397":29,"392144":29,"39223923":[],"39279291":28,"39398622":[],"394":9,"39517073":[],"39525059":[],"39540235":[],"39579407":5,"395980256477532":[],"39598026":[],"39614949":[],"39621036e":[],"39692815":[],"39706038":5,"397700":[11,29],"39789527":[22,28],"3983":6,"39855569":[],"39865452":[],"39922082":[],"39929428":[],"39931051e":29,"39952356":[],"399836":29,"3d":[2,3,4,6,13,23,31,33],"3f":[1,3,9],"3n":22,"3x":[2,8],"3x_i":2,"3y":8,"3yk470mj5p931p9dtkk0y6jw0000gn":[1,6,28,31],"4":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,22,23,25,28,30,31,32,33],"40":[1,6,9,23,26,28,31],"400":4,"4000":[9,28],"40037367e":[],"40072098":[],"40093324":[],"40140374":[],"401842":[11,29],"40184681":22,"40266454":[],"40354798e":29,"40415979e":[],"40418675":[],"404783":[],"40478305":[],"405":9,"4050":[27,28],"405890":[11,29],"405964":[],"40596423":[],"40620066":29,"406201":29,"40632663":[],"4069157":[],"407":9,"408":9,"40833375":[],"4087":9,"4087793":5,"40927184e":[6,30],"40it":6,"41":[2,9,22],"4107":9,"41146753":28,"4121966338442804":[],"41310208":[],"41366128e":[],"41408221":[],"41433969":5,"41487642":28,"41511965e":1,"4155":[2,15],"4162706317":6,"41636775":[],"41664613":25,"4166666666666667":9,"41675053":[],"41744203":[],"41764479":[],"417644792969273":[],"41820116":22,"41842093e":29,"418506":[11,29],"41869784":28,"41882037e":[6,30],"41925189":[],"41987877":[],"4198932":28,"42":[1,4,8,9,10,22],"42083463e":[],"42095725":28,"42124182":[],"4215795":22,"42197297e":[],"42305151":[],"4230769230769231":9,"42310878":25,"423646":[],"42364634":[],"42392359":[],"424274":[],"4242743":[],"42441033":5,"42450":9,"42553096":[],"42575338":22,"426":[6,9],"42774546":[],"42873361":28,"429":31,"42945319":[],"43":[0,1,7,9,22,32],"43054282":5,"4310":28,"433":31,"43330971e":[6,30],"43373107":[],"435163":29,"43563433":22,"43579948e":[6,30],"43639284e":29,"436462435":4,"43703545":[],"43727575":[],"43766686":11,"43779698e":[],"438060758":6,"438136":29,"439230":6,"43962226":[],"43976975777097144":[],"43984553e":[],"43it":6,"44":[0,1,22],"44089210e":[5,29],"441":[3,4,14],"442":[3,4,14],"442600":[11,29],"44286735":[],"443":[3,4,14],"443217":29,"44395301":30,"444":[3,4,9,14],"44418124":[],"44454123":28,"445":[3,4,14],"44536331":28,"44563226":[],"446033":31,"44624525e":29,"44658658e":29,"4477214":5,"44830934":[],"44838546":[],"44970586e":1,"44995924":22,"45":[9,26,28],"450":9,"450257":[11,29],"4504":9,"45053025":28,"45193407":[],"45430236":[],"455173":31,"45560415":[],"4557763":11,"455947":29,"456":9,"45620975":[],"457":2,"457311":[],"45731144":[],"45731379":22,"4576811":28,"45781905e":[],"458027":29,"458078":[11,29],"4580854":[],"4591127":22,"45915671e":29,"45960079":5,"45it":6,"46":[2,9,26,28],"460":[9,11],"4601":9,"46065811":22,"46086448":22,"46107913":[],"46134248e":[],"46153846153846156":9,"46170878e":[],"4619526":22,"462":[7,32],"46342934":[],"4635149":[],"46383925e":[6,30],"46383926e":[6,30],"46387965":[],"46415522":[],"46415888336127775":30,"46544987":[],"46593404":[],"46660941e":[],"46713267":30,"46736215":31,"4676059":29,"467606":29,"46891823":[],"46911594e":[],"46954702e":[],"46963249":[],"46984559":[],"46984697e":[6,30],"47":[2,9,26,28],"47042744":5,"47051432":31,"47052809":[],"470714":29,"47075725":6,"47116868e":[6,30],"47125748":5,"47132891":5,"4725246793626128":[],"4729218":[],"47297587e":[],"47313680":31,"47334547e":[],"47433659":[],"4745474":[],"47478922e":[],"47610036":6,"4761747":[],"47729832":[],"47757553":[],"47815203":11,"47823856":33,"47892661":[],"47910545":[],"479465113":4,"47989224":[],"47991892":[],"47it":6,"48":[2,9,31],"48004784":28,"48062913":[],"48151166":22,"48170743":[],"481979":6,"48200792":[],"48257387":[26,28],"48268005e":[],"48306473":[],"48307405":[],"4831139":[],"48326853":[],"48399942":[],"48420061":[],"4843772":28,"48476997":11,"484905":5,"48490503":5,"48494803":30,"48521055":29,"48697869":[],"486979":[],"48826894e":29,"48827791":[],"48843174e":[],"48867802":[],"48931464":[],"489315":[],"48994188":5,"48it":[],"49":[5,6,9,11,23,29,33],"49074536":[],"49123502e":[],"49152":3,"49156266e":[],"49211524":[],"49224801":[],"4937346":22,"49381549":[],"49392067e":29,"4940954":[0,28],"49470005":[],"49513019":25,"4951301940723654":25,"49584063e":29,"4959161509357395e":[6,30],"4959161509366685e":[6,30],"49611541":[],"4990":25,"49910481e":[],"4992":25,"49939493":[],"499394932852416":[],"4997":25,"49it":6,"4c4c7f":[9,10],"4d":3,"4f":6,"4pm":[26,28],"4y":8,"4y_i":10,"5":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,22,23,25,28,29,30,31,32,33],"50":[1,2,3,4,6,7,8,9,10,13,28,29,31,32,33],"500":[1,3,4,6,9,10,13,31,32,33],"50000455":5,"50000553":5,"50000718":5,"50000855":5,"50000969":5,"50001063":5,"50001142":5,"50001207":5,"50001261":5,"50001306":5,"50001343":5,"50001374":5,"500014":5,"50001414":5,"50001422":5,"50001439":5,"50001454":5,"50001466":5,"50001476":5,"50001485":5,"50001492":5,"50001498":5,"50001502":5,"50001506":5,"5000151":5,"50001512":5,"50001515":5,"50001517":5,"50001518":5,"50001519":5,"50001521":5,"50001522":5,"50001523":5,"50001524":5,"50001525":5,"5018":25,"5020612":25,"50227564e":[6,30],"502698":[],"50269821":[],"50306335":[],"50321091":5,"50327198":22,"50427787":31,"50530832":31,"506":0,"50610071e":[],"506553":29,"50655336":29,"50667812":[],"50714096e":[],"5076963":22,"507d50":[9,10],"50846111e":[6,30],"50846112e":[6,30],"50850373":[],"50887105":[],"50911289":[],"50it":[],"50j":[13,33],"50x10":1,"51":10,"510":1,"5105332296929628":9,"51069279":22,"51104913":[],"51136852":[],"51154388":[],"5116375":[],"511888":5,"51317506":[],"51364117":22,"51374050":31,"514219":29,"5142856":[],"51437058e":29,"51447004":28,"51546825":28,"51564682":22,"51643579":[],"51659846":[],"51709529":[],"5177783846":4,"51858116":[],"51914183e":[],"51928402":22,"51937727":22,"52":[32,33],"52031552e":29,"52087499":[],"521422502348998":11,"521558":[],"52155823":[],"52173381":[],"5222222222222223":1,"52284329e":29,"52301447e":29,"52317963":[],"52362157e":29,"52397611":[],"52446101":25,"52573336":11,"52635761":22,"52654886":[],"52657934":22,"526744":[11,29],"52698542":[],"52706754":11,"527068":11,"52732966":[],"52780600":31,"52874252":5,"52876551":[],"52888979":[],"52989287e":[],"52it":[],"53":[9,32,33],"5303329":11,"53052247":[],"5305555555555556":1,"53105728":[],"53125507":22,"531280":29,"53149078":[],"532":[],"5321613":[],"53285379":[],"532854":[],"533":[],"53312817":28,"534":[],"535":[],"53512750e":[],"53534008":25,"53585173":[],"535852":[],"53629564":22,"53640693":33,"537":[],"53703498":6,"53723188":[],"53729411e":29,"53738247":31,"5378811":11,"538":[],"5384615384615384":9,"539":[],"539261":[11,29],"53942728":[],"53996947":[],"5399913":[],"53it":6,"54":[6,9,25],"540":9,"54011398":[],"54039921":5,"54041041e":5,"54057582":[],"541605":29,"54175461":33,"5426270409877345":[],"543939":29,"54393936":29,"5443909":[],"544439":29,"54490887":[],"54637219":31,"54725976":[],"54811237":25,"548263635652985":[],"54843215":[],"548432150659993":[],"54856099":[],"54873252":[],"54880148":[],"54921401":[],"54935794":28,"54it":6,"55":[1,9],"55020649":[],"551023":5,"55102329":5,"55179339":[],"55196383":[],"55386681":28,"55460327e":[],"55542568":[],"5555555555555556":1,"55582742":28,"5567":6,"55688514":25,"557795":[11,29],"55838":33,"55854694":11,"559791959661649":25,"55996153":[],"55it":[],"56":[1,9],"56033697":5,"56042437":[],"56072658":[],"561410":[],"56141009":[],"56198284":5,"56342158":[],"564":9,"56423957":[],"56423957069263":[],"564374":[11,29],"564759":[],"56475921":[],"56476512e":[],"565":9,"56536":[0,28],"56541622e":[],"56589683":31,"566":9,"56636616e":[6,30],"567":9,"56783103":22,"56790195e":29,"568":[9,31],"56832496e":[],"56857739e":[],"569":[1,9],"56912044e":[6,30],"56922102":28,"56939714":5,"56965674":31,"56967917":[],"56977352":[],"56it":[],"57":[0,8,9,26,28],"570":9,"571":[5,30],"571105947979344e":[6,30],"571105947979412e":[6,30],"57192197":[],"57201944e":[6,30],"57252451e":29,"57261202":[],"574465":[11,29],"57468142":28,"57492326":[],"57521514":[],"57584612":[],"575870409023631":[],"576":31,"5769230769230769":9,"57803254":28,"57819238e":[],"57847325":[],"57881465":[],"57886743":[],"57914918":[],"57933547":25,"58":[9,10,26,28],"58084123":[],"5833333333333334":9,"583595":29,"5847256":[],"58492636e":29,"58493493":[],"58493681":[],"58583003":[],"58589719":28,"58827236":6,"5888888888888889":1,"58890784":[],"58914105":[],"589841":[],"59":9,"59009792":11,"59078383":[],"590784":[],"591317992":4,"59184268":[],"59215613":[],"59244881":[],"59348521":[],"59354079":6,"59355752e":29,"59372982":22,"594241":[],"59424119":[],"5944444444444444":1,"59465457e":[],"59491404e":[],"59630232e":[],"59683811":[],"59698459":25,"59730078":[],"59779819":33,"59875207":[],"59884169":28,"59908884":[],"59963873":[],"59971727":[],"5cm":25,"5f":[8,33],"5x":8,"5y":8,"6":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,22,25,26,28,29,30,31,32,33],"60":[1,3,6,9],"60000":4,"60026673":[],"60041459e":[],"600529":[],"60052901":[],"60160003e":29,"6019067271":4,"6029291":[],"60293962":5,"60342978":31,"60375434":22,"6038642":[],"60418171":[],"60420593":5,"60451189e":[],"60543038":29,"60552651":[],"60588173":28,"60605083e":[],"606251":[],"60625144":[],"60664448":[],"60673226":11,"606760":5,"60762863":[],"60921896":[],"60929685":31,"60940356":[],"60943791":[22,28],"60999067":[],"61":1,"61069681":22,"61083596e":[],"61106937e":[],"6111111111111112":1,"61113781":[],"61192203":[],"61192712":22,"612939":29,"61321722e":[],"61325173":33,"613579":29,"61382924":[],"613893902124586":25,"61395701":[],"61414743":22,"61468323":25,"614808":[11,29],"6153846153846154":9,"61564092":[],"6156409232714415":[],"61602014e":[],"61621902":[],"61774362":[],"61775176":31,"618746":[],"61883807":[],"618982":29,"61979664e":[],"62":1,"6200":28,"6201":28,"6202":28,"6203":28,"6204":28,"62113349e":29,"621584":[],"62158409":[],"62275788":[],"62351789":[],"62373464":11,"625":[7,32],"62551462":25,"62573269":28,"62617788":22,"62620041e":[],"626635268":[6,31],"626678":[],"6266783":[],"6267112":[],"62725226":30,"628":6,"62863106e":29,"62886648":[],"62894215":5,"62905281e":[],"62908496":22,"63":[0,1,6,9,31],"63025821e":[6,30],"63030526":[],"63031478":[],"630315":[],"63037846":6,"63046054":[],"63071772":[],"63142399":28,"63162342":29,"63209435":28,"63249532e":[6,30],"63309898":[],"6333349473431832":25,"63490568":25,"63498144":5,"63555267e":[],"63619709":29,"6380763200092493":[],"6383903":28,"63896182":[],"638962":[],"6389681":[],"63898112e":29,"63919355":5,"639194":5,"64":[1,2,3,4,13,22,28,33],"64012627":5,"6401576":[],"6407249":[],"640x480":[6,13],"64316192":31,"64322974":[],"64361375":28,"64362404":[],"64373221":[],"64373635e":33,"64399916":[],"64411666":[],"64412879":[],"64425744":[],"64564368e":[],"646283":[11,29],"64713979":[],"64742912e":[6,30],"647473":[11,29],"64796751":28,"64857542":[],"64885265":22,"649":[],"64909048":[],"649382":[11,29],"64976691":[],"64x50":1,"65":[1,2,8,9],"650":[],"65082441":[],"651":2,"65183066":[],"651831":[],"652":2,"65293772":[],"653":2,"6533977":[],"653398":[],"6536392":29,"654":2,"65442354":29,"654424":29,"65475653":[],"655":2,"65543115":[],"65554958":[],"65571174e":29,"65591748":[],"65593984":[],"65599456":29,"656":[],"65641173":[],"6568154596723088":[],"6568686180915178":[],"65686862":[],"65720152e":29,"65738717e":29,"65743689":29,"658":2,"65833132":29,"65885453":5,"65889641e":[],"65891389":29,"658914":29,"659":2,"65900052e":[],"65917558":22,"65944342":[],"65it":[],"66":2,"660":2,"66018725e":29,"66063786":[],"66064822":29,"66080313":29,"66204648":6,"662836197064178":[],"66289235":[],"66294408":29,"6629598":[],"662960":[],"66365453e":[],"6638":9,"664314":5,"66431407":5,"66456459":[],"66487438":[],"66498292":[],"6652177":29,"66560":9,"6663569":[],"667":9,"6671767":[],"66729685":[],"66757105e":[],"66809369":[],"668172":29,"6690108":[],"67":[1,2,9],"6702":[],"67047975e":[6,30],"67088558":[],"67100236":[],"67231298":[],"67238764e":[],"672721":29,"672759":[],"67275915":[],"67313212":[],"67314874e":5,"67374815":22,"674":31,"67435043":25,"67464946":[],"67490857":[],"67495943":[],"67524588":22,"67561021":28,"67819487e":[],"67875366":[],"678754":[],"67it":[],"68":2,"6801":[],"68072161":22,"6809195":[],"680920":[],"68092237e":[],"6816947":[],"68192193":5,"68257097":[],"68286725":29,"6831505":[],"68352799":[],"68534263e":[6,30],"68542204":5,"68591105":[],"68637642":[],"68655456":22,"6869":9,"68735473":28,"68822559":[],"688226":[],"68826552":28,"68857788":[],"6887363571":4,"68879472":[],"68929213e":[6,30],"689519":[11,29],"69":[2,9,25],"690":9,"690617":29,"69069n_":25,"69089532":22,"691":[],"691364":[],"69136414":[],"69182892e":29,"69227923":[],"69230769":33,"6923076923076923":9,"69247718":22,"6927554":22,"69303453":[],"693035":[],"69391797":[],"69417174":[],"69435454":[],"69438869":[],"69465386":22,"69484813e":5,"69504801":6,"69515531":[],"69566966":28,"69634577e":[6,30],"69695259":5,"697346":[],"69734609":[],"69756791":[],"69768266":11,"6980":33,"6988905":28,"69903406":[],"69983227":[],"6999536":11,"69it":[],"6n_":25,"6pm":28,"7":[0,1,2,3,4,5,6,7,8,9,11,12,13,14,15,22,24,25,27,28,29,30,31,32,33],"70":[1,6,7,9,32],"7002164":25,"70037324e":29,"70039784":[],"701370":5,"70241548":[],"7026722043092946":[],"7029975":[],"70301068":[],"70362677":[],"70469324":28,"70474145":[],"70499955":28,"70514808":[],"70587399":[],"705946":[],"70594608":[],"70630967":[],"70653767":4,"70665448":[],"70704566":[],"7070883":28,"70710678":[5,29],"70711022":[],"7074705":[],"70832814":5,"70857635":[],"7086067479626619":29,"70928399":11,"709284":11,"71":1,"71142161":29,"711422":29,"7119":9,"712018":[11,29],"71261809":[],"7127128":28,"71332117":[],"713763":[],"71376303":[],"71384267e":33,"71441086":[],"71469351":[],"7150195":28,"71507714e":[],"71524686":[],"71582784":[],"71737253":29,"71761101":29,"718165":5,"71838601":22,"71860732":[],"7198234":[],"720889407643293":[],"72174172":11,"72236654":[],"72271878e":[6,30],"7228852":[],"72309979e":[],"7236674":5,"724":3,"72427854":[],"7249499":[],"725256":[],"7252563":[],"726017":[],"72601722":[],"72602818":[],"72710494":28,"72744372":[],"72770687":5,"727707":5,"72771857":[],"72848736":[],"72859758":5,"72952595":[],"72962885":22,"72964493e":[],"72981762":8,"72992196":[],"73":[6,9,31],"73018893":[],"73062648":[],"73063053":[],"73068535":[],"73071831":25,"731000":29,"73122034":[],"73176319":22,"73203674":[],"73305640e":[],"733096":29,"73337355":[],"73578772":[],"73595198":[],"73646130e":[],"73690387":[],"737184":[],"73718419":[],"73741131e":[],"73785069":[],"737851":[],"73958682":[],"73986200e":29,"73994248":[],"74":[6,31,33],"740":9,"74028787e":[],"7403629637766833":11,"74038232":[],"74075864":25,"74081822":8,"74171049":[],"74259663":[],"742597":[],"74272285e":[],"74291603e":29,"74384949":29,"74607851":29,"74613334":[],"74724414e":29,"74724774":33,"74829661":29,"74840212":5,"7487814387207385":[],"74878144":[],"74883972":[],"74900488":5,"74957448":[],"749765":29,"75":[5,6,8,9,11,23,29,31],"75018686":[],"750187":[],"75025744":[],"750445":29,"75050135":29,"75080943":[],"7509571":[],"7510197":[],"7511273":[],"75131415":[],"75138064":22,"751699":[11,29],"75170092":5,"75216828e":33,"75269037":29,"75300068":[],"7539148284817965":28,"75406226e":[],"75433448":[],"7546682196464342":[],"75532041":[],"75576555":29,"75600095":[],"756352":29,"75654448":[],"75677341":[],"756828":[],"75682834":[],"75760403":[],"7577":31,"75770568":29,"7577113351177733":[],"75956617":22,"76":[9,26,28,32,33],"76120718":[],"761574":[],"76157429":[],"76190591":30,"76262775":[],"76277254":[],"7642448":[],"764245":[],"765":[7,32],"76527062":[],"76533281":5,"765333":5,"7658599":[],"76612827":[],"766163196245293":[],"76686148":[],"76690383":31,"76692036e":29,"767367275553824":[],"76790092":[],"76807288":[],"76855921":22,"76887316e":29,"7692307692307693":9,"76936315":5,"76940759":25,"7694444444444445":1,"77":[9,26,28,33],"77030637":22,"771128":[],"77152076":5,"77152924":[],"7718":9,"77199379e":[],"772588722239781":[],"77352152e":[],"77354301":[],"774498":[],"77449804":[],"77465911":[],"77482712":[],"77507653":[],"77559615":[],"77636e":33,"77652198e":29,"77659961":25,"7766443":[],"77714169":8,"77725472":[],"777255":[],"77803692":[],"7782028952":4,"77845284":[],"77873845e":[],"77959897":[],"78":[],"78009660e":29,"78156479e":5,"78184120e":[6,30],"78186404":22,"78278086":[],"78326199e":[],"78671736":[],"78745927":[],"78758569":[],"78876155e":[],"78892891":[],"78941903":5,"79":[],"79111643":5,"79135536e":29,"79171202":22,"79247398":[],"79280475":[],"793167":29,"794282":[11,29],"79469098":[],"7953443":30,"79622905":[],"79623487":5,"796235":5,"79633065":31,"79718864":28,"79778008":6,"79787194":11,"797872":11,"797e":6,"79866484":[],"79870689e":29,"7989356":28,"79898903":22,"7d7d58":[9,10],"8":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,22,23,25,28,29,30,31,32,33],"80":[0,1,5,6,8,9,29,30,31],"800":[4,7,32],"80056922":[],"801356":[],"8030191":[],"80354994":6,"80410179":[],"80413696":[],"80460179":31,"80469739":5,"8055555555555556":1,"80609615e":[6,30],"80609616e":[6,30],"80637385":[],"80740939":28,"80847477e":[6,30],"8084934":22,"80855691":[],"808557":[],"80979265":[],"81":1,"81007381":28,"81042619e":29,"81048318e":[6,30],"81160425":5,"81218742e":29,"81246697":25,"81283649":[],"81318307":[],"8133":6,"81333808":6,"81425129e":29,"81479491":[],"81506255":[],"81559586":[],"815am":[26,28],"81622636":[],"81633628":11,"816454":29,"816847":29,"81839897":[],"81919129":[],"819253":[],"81925302":[],"81947005":22,"81979166":25,"82":[],"82060913e":29,"8207274870895702":5,"82079885":[],"82121282":[],"82161167":28,"82198978":5,"82242798":[],"8227":[],"8232102961414203":[],"823417":[],"82341746":[],"82376174e":29,"82418008":[],"82418352":[],"8244":[],"82533209":11,"82551764":22,"82559478":[],"82623709e":[],"8265786":5,"82688363":[],"82802004":[],"82832579":[],"82914126":[],"829252":[],"82925222":[],"83":2,"83020679":[],"8305555555555556":[],"83146596":31,"83369175":[],"83463634e":29,"83466807":[],"83512277":5,"83655756":28,"83718206":[],"83823317e":29,"83870189":6,"8387133":[],"83884553e":[],"839957":[],"83995705":[],"84":2,"84159992":[],"842":[0,7,32],"8423144":22,"842436":29,"84254917":[],"843":[0,7,32],"84355903e":1,"844":[0,7,32],"84401886":5,"84443254e":1,"84478178":[],"8461538461538461":9,"84661230e":[],"84707251e":29,"84711297":[],"84726382":[],"84767088":[],"8476874":[],"84780262":6,"84789579e":[],"8485":31,"84858":31,"84862355":28,"8488":31,"84923989e":[6,30],"84972787":[],"84994524":5,"85":[1,9],"85005989":[],"85014487":[],"850164":5,"8505072899794293":[],"85064942":11,"85079059":[],"85108001":[],"85112594":22,"8517571":[],"85222243":[],"85259666e":[],"85263220":6,"85276538":22,"85278920e":5,"85293303e":29,"85378708":[],"85408468e":33,"85422602":[],"85551266e":29,"85601992":5,"85625134":28,"85711016":28,"85777073":[],"857771":[],"858":9,"8583333333333333":[],"85871255":[],"85945208e":29,"86":2,"86009093":[],"86016288":[],"86062977":6,"86066395":[],"86117291":5,"86123808e":[],"86134827":5,"86143379":[],"86145244":11,"86174943":[],"86192682e":29,"86197958":[],"86240935":[],"86247117":[],"86267497":[],"862675":[],"86273371":30,"8638888888888889":1,"86416941":[],"86445334":[],"86459987":28,"865":[0,7,32],"86519139":22,"866":[0,7,32],"86629161":25,"86630":9,"86643649":[],"8666666666666667":1,"867":[0,7,32],"86810":9,"86867512":11,"86891741":[],"8691787":28,"86978877":[],"87":9,"8702784034":4,"87068171":30,"87070464":[],"870704644539707":[],"87072815e":29,"87093752":[],"87148597":[],"87169607e":29,"87186187":25,"8720648":25,"8722222222222222":[],"87340054":[],"87381451":5,"87399194":[],"87494456e":29,"875":1,"87584434":[],"8759":33,"87627342":31,"87696461":[],"877":6,"87740526":28,"87788573":[],"87818331":[],"87878356":25,"87884833":[],"87981676":[],"88":[28,33],"88046261":5,"8805555555555555":[],"88135577e":[],"88157423":28,"88168312e":[6,30],"88182591":29,"88236598e":[],"8825782":[],"88289263":28,"88323026":29,"88336879":5,"8834":[],"88377332":[],"884669":29,"88501323":[],"88529063e":[6,30],"88551766e":29,"88613493":29,"88639567":28,"88653291":28,"88738394e":[],"88809826":28,"88860399":25,"8888888888888888":[],"88960947":[],"8896094720230128":[],"89":9,"890033":11,"89003324":11,"89017198e":29,"89058005":28,"8905826":[],"89126914e":29,"8917148":[],"891715":22,"89184351":[],"89288636":11,"8931686":[],"89408972":[],"89410423":5,"8944444444444445":[],"89457785":[],"89463761e":[],"89533642":28,"89540936":[],"8962":[],"89710385e":[],"89724282":[],"89766337e":[],"8978":[],"89845198":25,"8f":[6,31],"8g":[6,31],"8n":22,"8x8":1,"9":[0,1,2,3,4,5,6,7,8,9,11,12,13,14,18,22,23,24,25,26,28,29,30,32,33],"90":[0,1,6,9],"90075537":5,"9011":6,"90114639":28,"90135464e":29,"90220243":5,"90266948":5,"9027777777777778":[],"90304177e":29,"9040":9,"90475506e":[6,30],"9054":31,"9055555555555556":[],"906589":[],"9065894":[],"906747":5,"90717653":11,"907177":11,"90842732":22,"90860768":22,"90894281":28,"91":[26,28],"910":9,"91099021":[],"91100141e":33,"9111111111111111":[],"91114704":[],"91128596":5,"91270333":[],"91312563":[],"91365263":[],"91410559e":[],"91416944e":[],"91434750e":[],"91492986e":[6,30],"91546928":[],"91648657":[],"9166666666666666":9,"91669165":[],"916692":[],"91672129":28,"91722512e":[],"91760278":5,"91812702":5,"91854134":[],"918785":28,"918992":29,"91933003":22,"919503":11,"9195033":11,"91961463":[],"92":[6,9,26,28],"92192012":[],"9225384545636204":5,"9230769230769231":9,"92308867":[],"92341148":22,"924e":6,"925":1,"92507116e":1,"92512799":[],"92527681e":[],"92578916":5,"92599642":[],"92604454":[],"92622842":0,"92661467e":[],"9271707090281667":[],"92756256":30,"9277777777777778":1,"9288904":22,"92921498":25,"9305555555555556":1,"931":[0,28],"93155188":5,"93158979":5,"93237862":[],"932382":[],"93289669":[],"93293067":25,"933":[5,30],"93366198":[],"933662":[],"93397254e":[],"93492130e":[6,30],"93597168":[],"935972":[],"93601008e":29,"93619369":22,"93668828":[],"936877889972962":[],"937":25,"937057":11,"937082":29,"93787605":[],"93799826":5,"938":25,"9387":9,"93891335e":[],"939":[0,25,28],"93900569e":29,"93909866":[],"93937564":[],"93968601":[],"93970238":25,"93989887":[],"94":[9,25],"94099173":[],"94141801":[],"94221383":22,"94226022e":[6,30],"94255277":25,"94273542":29,"94284104":5,"94285762":28,"94291287":[],"94320205":5,"9434":5,"94419718":[],"9444444444444444":1,"94499279":[],"9450635":28,"94591015":[22,28],"946167":[],"94616709":[],"94623184":5,"94625725":[],"946276":[],"94627617":[],"946372":[],"94637206":[],"94639099":11,"946957":5,"94704941e":[],"9472222222222222":1,"947607":[],"94766419e":29,"94781064":30,"9482527":5,"9485531":[],"9495484":[],"95":[1,9,11,31],"95008046":6,"95033155e":[],"950423":[],"95053694e":[],"95166920e":29,"95226607":[],"95231424":5,"952387":29,"9527777777777777":[],"95284275":5,"953065564":1,"95338273":29,"95343966":22,"95351665":5,"95354276":25,"95395895":[],"953959":[],"954":25,"95400323":28,"95511792":29,"955118":29,"95518112":[],"9555555555555556":1,"95563211":[],"955820c21e8b":4,"95611042":[],"95647867":[],"956563":[11,29],"95684892":5,"95703":33,"95715036":[],"95743466e":[],"95793988e":[],"958228616652075":5,"95872127":[],"95890587":28,"95906059":[],"959076":[],"96":[1,6,9,11,31],"960":25,"9601304850035702e":[6,30],"9601304850073734e":[6,30],"96015381":22,"96024953":5,"96075051":[],"96080358":25,"96084663":5,"961":25,"962":25,"96231225":[],"96251859":[],"96305058":[],"963187":[],"9637117593816477":[6,30],"96379806e":[],"96391888":[],"9640435":5,"96432396":[],"96461948":22,"9647801":28,"9649652536":4,"965548":29,"96585824":[],"96631321":29,"96688672":5,"967":6,"9674916":5,"967809":[11,29],"96826039":[],"96853248":22,"968650":[],"96865004":[],"96866031":[],"968704":11,"96870431":11,"96894842":[],"969190":[],"96919021":[],"96919836":[],"9692":[],"96991192":[],"97005689":5,"97065359":31,"970827":[],"97082748":[],"97108e":33,"97120565":[],"9712983":[],"97206657":5,"972067":5,"972149":[],"9722222222222222":[],"97228653":[],"9722865317690382":[],"97243128":5,"97243946":[],"972533":[],"97253307":[],"97272223":[],"97300836":5,"97435908":[],"97480604":33,"97482498":11,"974825":11,"97486336":28,"97497404e":[6,30],"97498674":28,"975":[],"97507735":5,"97512176":28,"975484":[],"97548406":[],"97570392":28,"97626519":[],"97630233":31,"9767506308987675":[],"977":6,"97705827":5,"97716508":[],"97758848":5,"9777777777777777":[],"978":31,"9780387310732":27,"9780387848570":27,"9781098134174":28,"9781492032632":27,"9781801819312":28,"97836358":[],"978553":5,"97898392":[6,29,30],"97906022e":29,"9792":[],"97926491":5,"97935648":[],"97979891":6,"98":[0,1,9],"980":9,"9805555555555555":[],"98091621":5,"981321":29,"98139097":5,"98140006e":[],"98190064":[],"98271562":25,"98275501":5,"98281205":[],"983310":29,"98338288":[],"983383":[],"983450":[],"9834505":[],"9838929":33,"98413059":5,"98413606":[],"9841870203276504":[],"98454786":5,"98473694":33,"985":25,"98566191":5,"986":25,"9861111111111112":[],"98619989":[],"98636199":[],"986362":[],"98654811":[],"986699":5,"98680716":5,"98716878":5,"98740373":22,"98770503":28,"98808176":5,"98822371":6,"9888888888888889":[],"989":25,"9890348":5,"9893447":5,"98947674e":29,"98947894":29,"9898ff":[9,10],"99":[1,6,9,11,13,31,33],"990":9,"99003341":[],"99009525":5,"9904314810719695":[],"99088801":5,"991":25,"991047":[],"99104747":[],"99114739e":[],"99115119":5,"99176998":5,"99194201":[],"992":25,"99201684e":[],"99242921":5,"99265097":5,"993":25,"9930742":22,"99316252":5,"99370678":22,"99371056":5,"99389612":5,"99427512":22,"9943201":5,"99434472":[],"994345":[],"994474":[],"99447418":[],"99456598":[],"99475306":[],"9947756":5,"9948998579029953":[],"99492986":5,"99498272":[],"9951059931014423":[],"99512017":22,"9952183728736417":[],"9952505213910134":29,"9952537939995855":[],"99528218":5,"99539415":5,"9955318336036834":29,"99566069":5,"99578809":5,"9958589197366403":[],"9958983289118531":[],"9959308805732706":29,"996":[5,30,31],"99608161":5,"9963961":5,"99647992e":[],"99650061":5,"996626":[],"99662602":[],"9967458":5,"9969461173312454":[],"9969513794144311":[],"99700706":5,"99709215":5,"997252717901263":[],"99729756":5,"99751458":5,"99753321e":29,"99758326":5,"99762142":30,"997746":11,"99774602":11,"99775587":5,"99793613":5,"99799099":5,"99802696":[],"99812668e":[],"99813653":5,"99828624":5,"9983295":5,"99835783":[],"99845267":5,"99848815":[],"99854557":29,"998577":5,"99861053":5,"99862019":29,"99869482":29,"99871521":5,"99876945":29,"99881845":5,"99883628":29,"99884384":5,"99884409":29,"99884986":30,"99891093":29,"99891873":29,"99893323":5,"99898558":29,"999":[9,25,33],"99901896":5,"99903755":5,"99906023":29,"9990927157696581":30,"99911427":5,"99912709":29,"99913489":29,"99916114":[],"99918546":5,"99919837":5,"99920175":29,"99926459":5,"99927642":29,"9993237":5,"99933188":5,"9993511":29,"99938942":5,"99941797":29,"9994385":5,"99944272":5,"99949266":29,"99949306":5,"99953381":5,"99953475":5,"99954925":[],"99956033":[],"99956735":29,"99957911":5,"99961294":5,"99965056":5,"99967865":5,"99970894":29,"99970988":5,"9997332":5,"99975913":5,"99977849":5,"99978365":29,"99980002":5,"9998161":5,"99984732":5,"99987324":5,"99989103":[],"99989476":5,"99991263":5,"99992746":5,"99993978":5,"99995":5,"999955585168597":[6,30],"9x":[6,23],"9y":[6,23],"\u00f8yvind":[6,29,30],"abstract":[1,20,33],"boolean":4,"break":[0,4,6,11,14,28],"byte":[22,28],"case":[0,1,2,3,4,5,6,7,11,12,13,14,16,21,22,23,28,31],"catch":0,"class":[0,1,3,4,6,7,8,9,11,12,13,25,28,31,33],"default":[0,1,2,4,6,7,8,16,22,23,28,29,30,32],"do":[0,2,3,4,5,6,8,9,10,11,12,13,14,15,16,22,23,28,29,32],"ekstr\u00f8m":4,"export":9,"f\u00f8470":[26,28],"final":[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16,18,19,20,23,24,25,26,28,31,32],"float":[0,3,4,5,9,11,13,14,22,28,29,33],"function":[2,3,4,5,9,14,15,16,17,18,19,21,22],"import":[0,1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,23,25,31,32,33],"int":[0,1,2,3,4,5,6,11,13,14,22,25,29,31,33],"long":[0,1,3,4,12,13,28,32,33],"m\u00f8svatn":[6,23],"new":[0,1,2,3,5,6,7,8,9,10,11,13,14,17,22,28,29,32,33],"public":[0,21,28],"return":[0,1,2,3,4,5,6,7,8,9,11,13,14,22,23,25,28,29,30,31,32,33],"sch\u00f8yen":[6,29,30],"short":[4,5,20,23,30,31],"super":[5,29,30],"switch":0,"throw":[3,6,25,31],"true":[0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,19,22,23,25,28,29,30,31,32,33],"try":[0,1,2,4,5,6,7,8,9,10,11,13,14,15,16,21,22,23,25,28,29,30,31,32,33],"var":[1,5,6,10,11,18,19,23,25,28,29,30,31],"while":[0,1,3,4,5,6,7,8,9,11,12,13,25,28,29,30,31,32,33],A:[2,3,5,6,7,10,11,12,13,16,18,20,21,22,23,24,25,26,27,29,33],AND:2,And:[0,3,4,5,6,9,13,20,21,23,25],As:[0,1,2,3,4,5,6,8,10,12,13,16,22,23,25,28,29,30,31,32,33],At:[0,4,6,13,23,28,33],BE:[0,28],Be:[2,21,28],Being:[13,33],But:[0,1,2,3,5,6,9,10,25,29,30,31],By:[0,3,5,6,12,13,17,22,28,29,30,31,32,33],For:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,21,22,23,24,25,27,28,30,31,32,33],IF:[6,30],IN:27,If:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,21,22,23,25,28,29,30,31,32,33],In:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,21,22,23,25,27,28,29,30,31,32,33],Is:11,Ising:[5,12,29],It:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,21,22,23,25,28,29,30,31,32,33],Its:[1,2,4,11],NO:[9,11],No:[0,6,7,9,28,30,32],Not:[0,1,5,6,29,30,31],OR:25,Of:25,On:[0,3,9,15,23,24,25,26,27,28],One:[0,1,3,4,5,6,7,8,11,12,13,17,23,25,29,31,32,33],Or:[0,1,6,23,28,32],Such:[0,6,12,16,25,31,32,33],That:[0,5,7,10,11,12,14,19,23,25,28,30,31,32],The:[4,10,13,14,15,16,18,19,20,22,23,24,25,26,27],Then:[0,1,6,8,9,10,11,12,13,14,22,23,28,31,32,33],There:[0,3,4,5,6,8,9,11,12,14,22,23,24,25,26,28,29,30,32,33],These:[0,3,4,5,8,9,10,11,12,13,14,15,16,22,23,25,26,28,29,30,33],To:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,22,25,30,31,32,33],With:[0,5,6,8,9,10,11,12,14,18,22,23,25,28,29,31],_0:[5,8,10,11,13,29,32,33],_1:[2,5,6,8,10,11,12,13,14,22,29,30,32,33],_2:[2,5,8,11,12,13,22,29,33],_3:22,_4:22,_9:[13,33],_:[0,1,2,4,5,6,7,8,9,10,11,12,13,17,18,19,22,23,28,29,30,31,32,33],__array_function__:2,__class__:10,__doc__:[6,31],__enter__:[0,7,32],__future__:[8,9],__getattr__:30,__getattribute__:28,__getitem__:[0,7,32],__init__:[0,1,3,4,7,14,30,32],__main__:2,__name__:[2,10,30],__rtruediv__:[],_accessor:28,_auto10:[6,12],_auto11:6,_auto12:6,_auto1:[2,3,4,5,6,7,12,13,22,25,29,32,33],_auto2:[2,3,4,5,6,12,13,22,25,33],_auto3:[3,4,5,6,12,13,22,33],_auto4:[4,6,12,13,22,33],_auto5:[4,6,12,13,22,33],_auto6:[4,6,12,22],_auto7:[4,6,12,22],_auto8:[6,12],_auto9:[6,12],_base:8,_build:[0,17,19,21,23,27,28],_c:1,_can_hold_identifiers_and_holds_nam:28,_check_optimize_result:[9,11],_class:8,_compon:11,_coordinate_desc:6,_depth:9,_fraction:9,_generatorcontextmanag:[0,7,32],_i:[0,1,2,5,6,7,8,11,12,13,15,16,17,19,23,28,29,30,31,32,33],_info_axi:28,_j:[0,1,2,3,5,6,8,13,17,19,23,29,30,31,33],_k:[13,32,33],_l:12,_lambda:[6,28],_leaf:9,_ll:[3,4,14],_logist:[9,11],_m:10,_make_vjp:[],_multilayer_perceptron:[],_n:[2,5,8,11,13,29,32,33],_node:9,_np:[],_o:[3,4,14],_open_file_or_url:[0,7,32],_p:[5,8,29],_plugin_dir:[3,4,14],_ratio:11,_rc_params_in_fil:[0,7,32],_s:[3,4,14],_sampl:9,_split:[6,9,23],_t:[13,33],_test:[6,23],_tf_getinputpropertieslist:[3,4,14],_trace:[],_valu:[],_varianc:11,_weight:9,_wrapreduct:2,a0:3,a0faa0:[9,10],a1:[0,28],a2:[0,28],a3:[0,28],a4:[0,28],a_0:[0,28],a_1a:[0,28],a_2a:[0,28],a_3:[0,28],a_3a:[0,28],a_4:[0,28],a_4a:[0,28],a_:[0,1,16,22,28,29],a_h:1,a_i:[0,1,2,12,28],a_j:[1,12],a_k:[0,1,12],aaron:27,ab:[0,2,5,13,14,23,28,29,30,33],ab_channel:21,abandon:1,abbrevi:24,abid:25,abil:[0,10],abl:[0,1,4,5,6,7,10,12,13,16,23,29,32,33],about:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,21,22,23,26,30,31,32,33],abov:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,22,23,25,27,28,29,31,32,33],abovement:[6,28,31],abscissa:[13,32,33],absolut:[0,2,5,6,13,28,29,30,31,33],absorb:[29,30],acceler:[13,33],accept:[0,3,6,9,23,28,29],access:[0,3,11,25,28],accid:[4,6,31,32],accompani:[0,28,29],accomplish:[8,9,13,33],accord:[0,1,2,5,6,9,12,13,14,15,16,25,28,30,31,32,33],accordingli:11,account:[0,3,5,13,15,25,28,30,31,33],accumul:[12,13,25,33],accur:[0,3,4,6,10,13,31,33],accuraci:[0,1,3,4,5,6,7,9,10,11,12,28,29,32],accuracy_scor:[0,1,10,28],accuracy_score_numpi:1,achiev:[0,1,5,6,8,12,22,28,30,31],aco:25,acquaint:21,acquir:[1,21,28],acr:0,across:[1,3,6,9,21,28,31],act:[1,3,22],action:25,activ:[0,2,3,4,9,24,26,28,32,33],actual:[0,1,4,5,6,8,11,16,22,25,28,29,30,31],ad:[1,3,4,5,8,13,15,16,22,30,31,32,33],ada_clf:10,adaboostclassifi:10,adadelta:[13,33],adam:[1,3,4,26,28],adapt:[4,6,13,27,31,32],add:[0,1,2,3,4,5,6,8,10,11,12,15,16,17,23,25,28,29,30,31,33],add_outgrad:2,add_subplot:[1,7,12,14,23,32,33],addendum:5,addit:[0,2,3,5,6,7,8,9,10,12,13,15,17,21,22,23,25,26,27,28,29,30,31,32,33],addition:[12,13,32,33],address:[1,9,11,13,28,33],adjac:[3,12],adjoint:[5,29,30],adjust:[0,5,12,13,32,33],admir:[0,28],advanc:[4,6,12,27,28,31],advantag:[1,3,5,6,10,13,22,30,31,32,33],adversari:28,afecionado:28,affect:3,affin:[0,3,8,11,29],afford:3,aficionado:28,aforement:14,african:0,after:[0,1,2,4,5,6,9,11,12,13,15,21,22,23,25,28,29,30,31,33],afterward:[0,28],ag:[0,7,24,28,29,32],ag_0:2,again:[0,1,4,5,6,7,8,10,11,12,13,15,16,23,25,28,29,30,31,33],against:[1,4,7,10,32],agegroup:[7,32],agegroupmean:[7,32],aggreg:[9,10],agorithm:10,agre:[5,6,25,30,31],agreement:[13,33],ahead:9,ai:[0,27],aid:[11,20],aim:[0,1,4,6,7,11,14,15,16,21,22,23,29,31,32],ainv:5,airplan:3,aka:[5,30,31],al:[0,2,4,15,16,17,23,27,28,29,30,31,32,33],alarm:[5,7,30,31],aldo:29,algebra:[0,3,5,13,21,29,30,31,33],algorithm:[0,1,2,4,5,6,7,8,13,14,21,22,23,25,27,28,30,31,32],align:[0,2,5,6,7,8,13,23,25,28,29,30,31,32,33],all:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,15,21,22,23,24,25,26,27,28,29,30,31,32,33],allevi:[1,13,32,33],alloc:[3,22],allow:[0,1,2,3,5,6,8,10,13,15,16,21,22,23,28,29,30,31,32,33],almost:[0,1,6,8,11,13,25,31,32,33],alon:[2,9],along:[2,3,4,5,6,9,10,11,21,22,28,29,30,31,32],alpha:[0,1,2,3,4,6,7,8,9,10,13,14,25,28,29,31,32,33],alpha_0:3,alpha_1:3,alpha_2:3,alpha_:10,alpha_i:[3,13,33],alpha_k:[13,33],alpha_m:10,alpha_n:3,alpha_opt:[13,33],alreadi:[2,3,4,5,6,10,12,21,22,25,28,29,30,31],also:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,28,29,30,31,32,33],alter:1,altern:[0,1,4,5,6,8,9,11,13,22,23,28,29,30,31,32,33],although:[0,1,5,6,8,10,13,16,28,30,31,33],alwai:[0,3,5,6,12,13,16,23,25,28,29,30,31,32,33],am:4,ame2016:[0,28],american:0,among:[0,3,5,9,10,12,22,28,29,30],amongst:[5,30,31],amount:[0,1,3,4,6,8,10,14,21,31],an:[1,2,3,5,6,7,8,9,11,12,13,14,15,16,17,19,20,21,22,23,25,26,27,29,30,31,32,33],an_:25,anaconda:[0,1,15,21,23,28],analog:[13,33],analys:[6,30,31],analysi:[1,3,4,7,14,15,16,17,19,22,27,32],analyt:[2,3,5,6,7,12,13,15,21,23,28,29,30,31,32,33],analyz:[0,1,3,4,5,6,16,17,23,25,29,30],andrew:1,angl:[0,3,9,29],anharmon:3,ani:[0,1,2,3,4,5,6,7,8,9,10,12,14,18,25,28,29,30,31],anim:[4,12],ann:12,annot:[0,1,3,7,8,28,32],announc:28,anoth:[0,1,3,4,5,6,7,8,10,11,12,13,22,23,25,28,29,32,33],anp:2,ans_vspac:[],ansatz:[0,28],answer:[0,1,3,5,6,22,23,26,28,30,31],antialias:[2,6,23],anticip:4,anymor:[1,8],anyon:[4,8],anyth:[1,25],anytim:[26,28],apach:1,apart:[11,13,32,33],api:[1,21,28],appar:2,appear:[0,1,3,13,16,22,25,33],append:[1,3,4,8,9,13,28,33],appendix:23,appli:[0,1,2,3,4,6,7,8,9,10,11,12,13,15,16,23,25,27,28,29,30,31,32,33],applic:[0,1,3,4,5,6,7,9,12,13,22,23,25,27,28,29,31,32,33],apply_gradi:4,approach:[1,2,4,5,6,9,10,11,12,13,17,21,25,27,29,32],appropri:[2,6,9,12,13,21,25,31,33],approv:28,approx:[0,2,3,6,10,11,13,25,28,31,32,33],approxim:[0,1,2,3,4,5,6,7,10,11,13,18,19,23,25,28,29,30,31,32,33],apt:[0,15,21,23,28],aq:25,ar:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,26,27,28,29,30,31,32,33],aragorn:28,arang:[1,3,4,6,7,9,10,12,13,23,28,32,33],arbitrari:[1,4,6,8,12,13,25,31,32,33],arbitrarili:[0,1,11,28],arc:[6,23],architectur:[3,4,12],area:[0,3,6,9,23,27,28],arg:2,argmax:[1,11],argmin:[4,10,14],argnum:2,argnum_0:2,argnum_1:2,argsort:11,argu:[1,13,33],argument:[0,2,3,5,6,11,12,13,28,29,30,31],argval:[],aris:[0,6,12,13,25,28,31,32,33],arithmet:[0,13,22,28,33],arm:[6,30],armadillo:22,around:[0,1,4,5,6,11,25,28,30,31],arr:[],arr_list:[],arrai:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,21,23,25,29,30,31,32,33],arrang:[3,28],arraybox:[13,33],arriv:[0,6,9,11,22,25,28,31],arrow:12,arrowprop:8,art3d:33,art:[0,1,15,21,28],articl:[0,3,4,6,10,18,23,28,29,30,31],artifici:[0,2,7,12,27,28,32],artificialneuron:12,arug:[13,33],arxiv:[3,4,23,33],asarrai:[0,2,6,9,29,30,33],asid:29,ask:[5,6,11,12,23,30,31],aspect:[0,6,21,23,28,29,30],assembl:[0,3,28],assert:4,assess:[0,6,23,28,29,30,31],assici:4,assign:[0,7,8,9,12,13,14,24,26,27,28,32,33],associ:[0,6,9,12,14,25,28,31],assum:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,19,22,23,25,28,29,30,31,32,33],assumpt:[0,3,5,6,9,11,18,23,25,28,29],ast:[0,5,6,18,23,28,30,31,32],astronomi:[28,30,32,33],astyp:[4,9,10],asymmetri:[0,28],asymptot:[4,6,31],atleast_2d:[],atom:[0,28],attempt:[0,4,6,7,8,10,28,30,32],attend:24,attent:[0,22,28],attr:30,attract:[0,10,28],attribut:[0,9,28,30],attributeerror:[28,30],audi:[0,28],audio:[3,4],august:[15,16,28],aurelien:[0,15,24,27,28],austfjel:[6,23],author:[0,1,10,25],authour:28,auto:[8,9,10,25],auto_exampl:[23,30],autocor:25,autocorrelation_tim:25,autocorrelform:25,autocovari:25,autoencod:[4,21,28],autoencond:21,autograd:[21,28],autom:[0,21,27,28],automac:22,automag:28,automat:[0,1,2,3,4,11,16,21,22,28],automobil:3,autonom:4,avail:[0,1,4,6,7,10,11,15,20,21,22,23,24,26,27,28,31,32],averag:[0,1,3,6,9,10,13,14,25,26,28,29,30,31,32,33],avoid:[0,4,5,6,9,11,13,22,28,29,31,32],awai:[2,3,6,29,30],awar:[2,10],award:[26,28],ax:[0,1,2,3,4,6,7,8,9,10,11,12,13,14,22,23,28,31,32,33],axes3d:[2,6,13,23,32,33],axes_grid1:6,axhlin:8,axi:[0,1,2,3,4,6,7,8,9,10,11,12,13,14,22,23,25,28,29,30,31,32,33],axiom:[5,30,31],axis_arg:[],axlabel:[0,28],axvlin:[4,8],axvspan:4,b1:8,b2:8,b3:8,b:[0,1,3,4,5,6,8,9,10,12,13,14,15,16,25,26,28,29,30,31,32],b_0:0,b_1:[0,2,12,13,33],b_2:[0,13,33],b_5:[13,33],b_:[0,1,22],b_group:9,b_i:[0,1,2,12,28],b_ia_:[0,28],b_ia_i:0,b_index:9,b_j:[1,12],b_k:[0,1,12,13,33],b_m:12,b_score:9,b_valu:9,babcock:28,bachelor:[24,26],back:[0,3,4,5,6,8,9,10,15,22,25,28,29,30,32,33],backbon:22,backend:[0,1,4,7,32],background:[27,28,29],backpropag:1,backtrack:9,backup:22,backward:[1,2,4,12,22],backward_pass:2,bad:[6,29,30],badli:25,bag:[9,21,28],bag_clf:10,baggin:28,baggingboot:10,baggingclassifi:10,baggingtre:10,balanc:[6,31,32],band:22,bandwidth:22,bar:[0,6,11,15,16,23,28],barber:27,bare:[4,10],base:[0,1,3,4,5,7,8,9,10,14,21,25,26,27,28,29,30,32],basi:[5,7,8,10,11,12,13,22,29,30,32,33],basic:[6,8,12,13,14,21,23,25,28,33],batch:[3,4,11,12,13,32],batch_shap:4,batch_siz:[1,3,4],batchnorm:4,bay:[7,32],bayesian:[5,21,27,28,30,31],beam:[28,32,33],becattini:26,becaus:[0,1,2,3,4,5,6,8,9,12,13,14,28,30,31,32,33],becom:[0,1,2,5,6,7,9,12,13,25,28,29,30,31,32,33],been:[0,1,2,3,4,5,6,11,12,13,21,22,23,28,29,30,31,33],befor:[0,1,2,3,4,5,6,7,8,12,13,14,20,22,23,25,28,29,30,31,32,33],beforehand:[0,25,28],begin:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,22,23,25,26,28,29,30,31,32,33],behav:[1,6,13,31,32,33],behavior:[0,1,13,28,32,33],behaviour:12,behind:[0,1,6,8,13,28,32,33],being:[0,1,2,3,4,5,7,8,10,11,12,13,17,25,28,29,30,31,32,33],believ:[9,22],belong:[7,8,9,13,14,32,33],below:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,22,23,25,28,29,30,31,32,33],benchmark:10,benefici:[1,13,33],benefit:[0,1,4,11,13,15,21,28,32,33],bengio:[1,24,27,28,29,33],benign:[1,7,9,32],besid:[4,5,30],bessel:[5,29,30,31],best:[0,1,2,3,4,5,6,7,8,9,10,12,13,23,26,28,29,31,32,33],best_estimator_:32,beta1:33,beta2:33,beta:[0,1,3,5,6,7,10,11,13,16,17,18,19,23,28,29,32,33],beta_0:[0,1,3,5,6,7,13,28,29,30,32,33],beta_0x_:[0,28,29],beta_1:[0,1,3,5,6,7,10,13,28,29,30,32,33],beta_1x_0:[0,28],beta_1x_1:[0,7,28,32],beta_1x_2:[0,28],beta_1x_:[0,28,29],beta_1x_i:[7,13,29,32,33],beta_2:[0,3,13,28,29,33],beta_2x_0:[0,28],beta_2x_1:[0,28],beta_2x_2:[0,7,28,32],beta_2x_:[0,28,29],beta_2x_i:29,beta_3:3,beta_3x_i:29,beta_4x_i:29,beta_:[0,3,6,7,13,28,29,30,32,33],beta_i:[0,3,5,28,29,30],beta_j:[0,5,6,13,18,23,28,29,30,31,33],beta_k:[13,32,33],beta_linreg:[13,32,33],beta_m:10,beta_mg_m:10,beta_n:3,beta_p:[7,32],beta_px_p:[7,32],betavalu:5,better:[0,1,2,3,4,6,9,10,11,12,13,28,29,30,31,33],between:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,17,23,25,28,29,30,31,32,33],beyond:[0,1,5,6,8,13,23,28,29,32,33],bf:[13,14,22,25,32,33],bg:28,bgd:[13,33],bia:[0,1,2,3,5,8,9,10,12,13,19,28,29,30,32,33],bias:[1,2,3,5,6,9,12,30],bibliographi:23,big:[0,1,2,5,6,14,18,30,31],bigger:[1,6,29,30],bigr:12,bike:9,bilbo:28,billion:[3,12,21],bin:[0,7,25,32],binari:[0,3,5,7,9,10,12,28,30,31,32],binarycrossentropi:4,bind:[0,29],binomi:[21,25,28],binsboot:[6,31],bioinformat:0,biolog:[1,12],bios1100:[21,28],bird:[0,3],birth:28,bishop:[24,27,28],bit:[1,4,22,25,28],bitwis:25,bivari:2,bk:[0,13,33],bla:[22,28],black:[8,9,14],blob:[16,20,23,32,33],block:[6,10,21,22,25,28,31],blog:28,blogpost:4,blue:[0,3],bmatrix:[0,1,3,5,7,8,11,13,22,28,29,30,32,33],bmi:1,bn:[],bodi:[0,1,4,12,28],bold:1,boldfac:[0,5,16,29,30],boldsymbol:[0,1,2,3,5,6,7,8,10,11,13,14,15,16,17,18,19,23,28,32,33],boltzmann:[12,21,28],book1:27,book:[19,23,27,28,29,31],boost:[1,9,21,28],boostrap:10,bootstrap:[1,13,19,21,23,28,32,33],borrow:28,boston_dataset:0,bot:8,both:[0,1,4,5,6,8,9,10,13,14,15,16,21,22,23,25,26,28,29,30,31,32,33],bottl:[7,32],bound:[0,8,12,33],boundari:[2,4,8,11,12],box:[4,9],boxed_arg:[],boyd:[8,13,32,33],bracket:[4,25],brain:[1,7,12,32],branch:9,breast:[5,7,11,30,31,32],breviti:[13,33],brew:[0,15,21,23,28],brg:8,brief:[23,29],briefli:[0,28],bring:[0,5,6,10,29,30],broad:0,broadcast_idx:2,brought:[13,21,28,33],brownle:4,browser:28,brute:[3,5,11,29,30,32],bs:[8,9,10],buffer_s:4,bui:4,build:[0,4,5,6,10,22,25,28,30,31,32,33],built:[0,1,3,4,6,31],bunch:11,busi:0,c1:[8,11],c2:[8,11],c:[0,1,2,4,5,6,7,8,9,10,11,12,13,14,15,16,19,21,22,25,26,27,29,30,31,32,33],c_0:25,c_1:12,c_2:12,c_3:12,c_4:12,c_:[0,8,9,10,13,25,32,33],c_i:[12,13,33],c_k:25,ca:[1,28],cach:10,cal:[0,8,10,12,13,15,16,28,32,33],calcul:[0,1,2,4,5,6,8,9,10,11,12,13,14,15,16,18,22,25,28,30,31,32,33],call:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,19,21,22,23,25,26,28,29,30,31,32,33],calor:[0,29],cambridg:[13,27,32,33],can:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,29,30,32],cancel:[0,13,28,29,33],cancer:[5,10,30,31],cancerpd:[7,32],candid:[8,9,10,33],cannot:[0,1,4,5,6,7,8,9,24,25,29,30,32],canopi:[0,15,21,23,28],canva:[23,28],cap:[5,30,31],capabl:[0,1,8,13,21,28,33],capac:[2,26],capita:0,caption:23,captur:[4,11,12],car:[3,4],card:[0,7,28,32],cardin:1,care:[11,32],carefulli:[13,33],carlo:[0,6,21,25,27,28,31],carri:[2,6,7,23,31,32],cart:10,casella:27,cast:1,cat:[3,4],categor:[0,1,3,9,11,28],categori:[0,1,3,7,10,12,14,28,32],categorical_crossentropi:[1,3],caus:[0,5,6,7,25,28,29,30,31,32],causal:0,causat:[0,28],cax:1,cb:[6,28],cbar:1,cc:[0,1,5,13,28,29,30,32,33],ccc:[5,12,30],cd_fast:6,cdf:25,cdot:[0,2,6,12,13,14,22,25,28,31,32,33],celebr:[13,32,33],cell:[0,1,2,3,4,6,7,8,9,10,13,14,23,30,32,33],center:[0,1,6,7,8,9,11,14,23,25,28,30,31,32],central:[0,3,5,6,8,16,22,28,29,30],centroid:[14,25],centroid_differ:14,centuri:3,certain:[0,3,6,7,9,25,28,29,31,32],certainti:31,cg:[13,33],cha:0,chain:[0,1,13,21,25,28,33],challeng:33,chanc:[1,5,13,25,30,31,33],chang:[0,1,2,3,4,5,6,8,9,11,12,13,14,22,23,25,28,29,30,31,32,33],channel:3,chapter3:[0,19,23],chapter:[0,6,10,11,16,18,22,23,27,28,29,30,31,32,33],charact:[0,3,5,8,28,29],character:[8,9,10,12,25],characterist:[0,1,3,10,13,28,33],charg:[0,28],charl:0,chase:4,chatgpt:23,chd:[7,32],chddata:[7,32],cheap:[5,29],cheaper:[1,13,33],check:[0,1,3,4,5,6,11,13,22,28,33],checkmark:3,checkpoint:4,checkpoint_dir:4,checkpoint_prefix:4,chen:10,cheng:29,chiaramont:2,choic:[0,1,2,3,4,6,9,12,13,14,19,22,28,29,31,32,33],choleski:[5,22,29],choos:[2,3,6,9,10,11,13,14,23,31,32,33],chosen:[0,1,2,6,8,9,10,13,16,25,28,31,32,33],chosen_datapoint:1,christian:27,christoph:[24,27,28],cifar10:3,cifar:3,circ:[1,12],circl:[0,8,12,29],circuit:3,circumfer:9,circumv:[1,5,13,29,33],cite:23,ckpt:4,clariti:25,class_nam:[3,9],class_val:9,class_valu:9,classic:[7,9,13,32,33],classif:[0,3,5,6,7,8,11,12,21,23,27,28,29,30,31,33],classifi:[0,1,4,7,9,10,11,28],classificaton:1,classifii:10,clean:1,clear:[1,5,10,12,13,33],clearli:[0,3,5,6,7,8,18,25,29,30,31,32],clever:[1,10],clf3:0,clf:[0,6,8,9,10,28,29],clf_lasso:6,clf_ridg:[6,28],clip:[3,25],clone:26,close:[0,1,2,4,6,8,9,11,12,13,14,23,25,27,28,31,32,33],closer:[3,5,13,29,33],closest:[8,11,13,14,33],closur:[21,28],cloud:[21,28],cluster:[0,1,4,6,11,21,28,31],cluster_label:14,cm:[1,2,3,6,8,9,13,23,32,33],cmap:[0,1,2,3,4,6,8,9,10,23,28],cmap_arg:6,cmb:24,cmd:9,cn_:25,cnn:12,cnn_kera:3,cntk:[21,28],co:[0,2,3,6,9,13,28,31,33],code:[3,4,6,7,8,15,16,17,19,21,22,23,25,27],coef0:8,coef:[0,28],coef_:[0,5,6,8,9,13,28,29,30,32,33],coeff:5,coeffici:[0,3,5,6,7,8,9,13,15,16,22,28,29,30,31,32,33],coerc:[0,6,28,31],coin:[10,25],coin_toss:10,col:[0,11,28,29],colab:[21,28],cold:9,colinear:0,collabor:23,collaps:8,collect:[0,2,6,10,11,21,25,27,28,31],collinear:[5,29,30],color:[0,3,4,6,8,9,10,23,25,33],color_channel:3,color_cod:6,colorbar:[1,6,23],colsample_bytre:10,colsaobject:10,column:[0,1,2,5,6,7,8,9,11,12,17,22,28,29,30,31,32],columntransform:9,com:[4,6,16,20,21,23,27,28,31,32,33],combin:[1,2,5,6,7,10,25,30,31,32,33],come:[0,1,3,4,5,12,13,14,15,28,29,30,31,33],command:[0,1,28],comment:[0,4,5,6,15,16,23,28,29],commerci:[0,15,21,23,28],commod:[0,28],common:[0,1,3,5,6,7,9,11,13,14,23,25,28,29,31,32,33],commonli:[0,1,4,6,7,9,13,14,29,31,32,33],commun:[0,12,23],commut:3,commutatitav:3,compact:[0,1,3,5,6,7,9,11,12,13,14,28,29,30,31,33],compair:0,compar:[0,3,4,5,6,11,13,15,16,22,23,28,29,30,31,32,33],comparison:[2,4,13,33],compat:[7,32],compet:0,competit:10,compil:[0,1,3,4,13,15,21,22,28,33],complet:[0,2,3,4,9,12,28],completenn:12,complex:[1,5,8,9,11,12,13,15,16,19,28,31,33],complic:[0,1,9,13,28,31,32],compoment:29,compon:[0,1,3,4,5,6,7,9,14,16,21,28,29,30,31,32],components_:11,compos:[9,12,13,14,21,28,33],compphys:[0,6,16,17,19,20,21,23,24,26,27,28,32,33],compress:[0,28,29],compris:[6,32],compromis:[5,29],compulsori:[21,28],comput:[0,1,2,3,4,5,6,7,8,10,11,12,13,15,16,17,21,22,23,24,25,27,28,29,30,31,32],computation:[0,3,6,9,13,25,28,32,33],computationalscienceuio:28,computerlab:23,concaten:[2,4,6,14],concatenate_arg:[],concav:[1,9,13,29,32,33],concentr:[0,10],concept:[0,2,21,28,29],conceptu:[12,13,32,33],concern:[0,1,4,7,28,32],concic:28,conclud:[0,5,13,30,31,33],conclus:1,cond:2,conda:[0,1,15,21,23,28],condis:29,condit:[0,2,4,5,6,8,9,11,13,25,28,29],conduct:21,condwav:2,confid:[0,5,6,7,8,18,23,28,29,30,32],configur:3,confirm:[5,12,30,31],confus:[5,6,7,10,22,29,30,31],confusion_matrix:9,congruenti:25,conjug:[4,8],conjugaci:[13,33],conjunct:3,connect:[0,1,3,4,9,11,12,13,22,28,29,32,33],consequ:[5,6,8,10,12,13,29,30,31,32,33],conserv:[5,14,29],consid:[0,1,2,3,5,6,7,8,9,10,12,13,16,19,22,23,25,28,29,30,31,32,33],consider:[0,1,5,13,28,29,30,31,32,33],consist:[0,1,2,3,4,6,12,13,19,23,25,29,31,32,33],constant:[0,2,4,5,6,8,12,13,25,28,29,30,31,32,33],constitu:[0,28],constitut:[2,6,31,32],constrain:[1,3,5,7,11,30,32],constraint:[5,6,8,13,29,30,31,33],construct:[0,1,2,3,5,6,7,8,9,10,11,22,25,28,29,30,31,32],contact:[0,28],contain:[0,2,3,4,5,6,7,8,9,11,12,13,17,19,22,23,25,27,28,29,30,31,32,33],contemporari:28,content:[1,21,22,28],context:[6,10,13,23,31,32,33],contextlib:[0,7,32],contigu:22,continu:[0,1,2,3,4,5,6,7,8,9,10,12,13,17,18,22,23,25,28,29,30,31,32,33],contour:[9,10,13,33],contourf:[8,9,10],contrast:[1,4,9,10,12],contribut:[0,3,5,13,25,28,29,30,33],contributor:[0,23],control:[0,1,3,9,13,15,21,28,33],conv2d:[3,4],conv2dtranspos:4,conv:[3,4],convei:28,conveni:[0,5,6,12,13,22,23,28,30,31,32,33],convent:[12,29],converg:[1,2,4,5,6,8,9,11,13,14,29,30,32,33],convergencewarn:[6,8,9,11],convert:[0,1,4,5,9,11,13,22,28,29,33],converttomatrix:4,convex:[4,5,7,29],convinc:[13,32,33],convolut:[1,4,21,28],cook:23,cool:[4,9],coolwarm:[6,23],coordin:[5,12,14,29,30],coorel:0,copi:[0,1,14,29],core:[0,2,7,10,28,32],corel:28,coronari:[7,32],corr:[0,5,7,11,29,32],correalt:[11,21],correct:[0,1,2,3,4,5,7,13,22,25,28,29,30,31,33],correctli:[1,2,6,7,10,23],correl:[0,1,3,5,6,7,10,12,13,21,25,28,30,31,33],correlation_matrix:[0,5,7,11,29,32],correspond:[0,3,5,6,8,9,11,12,15,16,17,21,22,23,25,28,29,30,31],cortex:12,cosin:[3,6,31],cost:[0,2,3,5,6,7,8,9,12,13,16,17,19,23,28],cost_deep_grad:2,cost_funct:2,cost_function_deep:2,cost_function_deep_grad:2,cost_function_grad:2,cost_grad:2,cost_sum:2,costol:[13,33],could:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,17,22,23,25,28,29,30,31,32,33],coulomb:[0,28],count:[0,9,24,25,26,28],countor:[13,33],coupl:[4,5,6,30,31],cours:[0,1,3,5,11,23,24,26,29,31],courvil:[24,27,28,29,33],cov:[5,6,11,22,25,28,29,30,31],cov_xi:[5,11,29],cov_xx:[5,11,29],cov_yi:[5,11,29],covari:[0,7,21,22,28,30,32],covariance_matrix:[5,11,14,29],cover:[0,5,17,21,26,27,29,30],covert:[0,28],covxi:25,covxx:25,covxz:25,covyi:25,covyz:25,covzz:25,cpu:1,craft:3,creat:[1,2,3,4,5,9,10,11,12,21,28,30,32,33],create_biases_and_weight:1,create_convolutional_neural_network_kera:3,create_neural_network_kera:1,create_x:[5,11,29],credit:[0,7,26,28,32],crim:0,crime:0,criteria:[0,4,9,10,14,25,28],criterion:[9,10,13,32,33],critic:[6,23,29,30],critiqu:23,cross:[0,1,3,7,9,10,13,21,25,28,29,30,33],cross_entropi:4,cross_val_scor:[6,31,32],cross_valid:[7,10,32],crossvalid:[6,31],crucial:[1,25],cs231:3,cs:[24,26],csr_matrix:[22,28],csv:[0,4,6,7,9,28,31,32],ctnk:1,cubic:0,cumbersom:[5,30,31],cumsum:[10,11,28],cumul:[7,10,25],cumulative_heads_ratio:10,cup:[5,30,31],current:[1,2,3,4,13,14,27,32,33],curs:[0,29],curv:[6,7,10,12,23,32],curvatur:[13,32,33],custom:[6,14,23],custom_cmap2:[9,10],custom_cmap:[9,10],cutpoint:9,cv:[6,7,10,31,32],cvxbook:[13,32],cvxopt:[5,8,29],cycl:[1,12],cyclotron:30,d2_g_t:2,d:[1,2,3,4,5,6,7,8,9,10,11,13,14,22,25,26,28,29,30,31,32,33],d_f:[13,32,33],d_g_t:2,d_net_out:2,da:3,dagger:[5,22,29],dai:[1,9,21],damp:3,daniel:26,darget:9,darkr:25,dat:[0,28],dat_id:[0,6,7,9,28,29,31,32],data1:14,data2:14,data3:14,data4:14,data:[2,4,5,8,10,12,13,14,17,18,19,22,27,31,33],data_id:[0,6,7,9,28,29,31,32],data_indic:1,data_panda:28,data_path:[0,6,7,9,28,29,31,32],databas:1,datafil:[0,6,7,9,23,28,29,31,32],datafram:[0,4,5,7,9,11,28,29,32],datapoint:[1,5,6,7,11,13,29,31,32,33],dataset:[0,4,6,7,8,9,10,11,13,14,15,16,19,23,28,31,32,33],datatyp:4,date:[15,16,17,18,19,20,23,28,29,30,31,32,33],daughter:10,david:[27,28],davison:31,dbh:1,dbo:1,dcomposit:22,ddot:2,dead:1,deadlin:[16,17,18,19,20,24],deal:[0,1,3,5,6,8,11,13,14,17,18,22,23,25,28,29,30,32,33],dealt:0,debt:[7,32],debug:[0,5,6,30,31,32],decad:[0,3],decai:[0,13,25,28],decemb:[24,26,28],decent:10,decid:[0,2,3,5,6,9,23,30,31,32],decim:[0,28],decis:[0,1,8,11,21,27,28],decision_funct:8,decision_tre:9,decisiontreeclassifi:[9,10],decisiontreeregressor:[0,9,10],decisiontreeregressordecisiontreeregressor:9,declar:[0,4,22,28],decompos:[5,6,22,29],decomposit:[0,6,12,23,28,30],decompost:[5,29],deconvolut:3,decorrel:[10,13,33],decreas:[1,2,4,5,6,10,11,13,30,31,32,33],deduc:[0,28],deep:[3,7,12,13,21,24,27,29,33],deep_neural_network:2,deep_param:2,deep_tree_clf1:9,deep_tree_clf2:9,deep_tree_clf:[9,10],deepen:[5,21,28],deeper:[0,3,4,28],deeplearningbook:[27,28,30],deer:3,def:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,23,25,28,29,30,31,32,33],def_covari:25,default_tim:4,defect:[5,29],defici:[5,29],defin:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,22,23,25,29,30,31,32,33],definit:[1,2,5,6,7,8,10,11,12,13,17,22,25,29,30,31,32,33],defint:25,defvjp:2,defvjp_argnum:[],degre:[3,5,6,8,9,10,11,15,16,17,19,23,25,28,30,31,32],deisenroth:29,del:1,delet:6,delimit:4,deliv:[24,28],delta:[0,2,3,6,8,12,13,14,28,33],delta_0:3,delta_1:3,delta_2:3,delta_3:3,delta_4:3,delta_5:3,delta_:[1,22],delta_h:[0,1,28],delta_j:[3,12],delta_k:12,delta_l:[1,3],delta_momentum:[13,33],delta_n:[0,3,28],delug:21,delv:0,demand:[13,32,33],demonstr:[0,3,5,6,7,11,12,21,28,29,30,31,32],den:4,denomin:[1,5,30,31],denot:[1,2,6,7,13,25,32,33],dens:[1,3,4],densiti:[0,2,6,25,28,31],depart:[26,28,29,30,31,32,33],depend:[0,1,2,4,5,6,7,8,11,12,13,15,21,22,23,25,28,29,30,31,32,33],depict:25,deploy:[0,15,21,23,28],deprec:2,depth:[0,3,9,10,22,31],deriv:[0,1,2,6,7,8,10,11,13,16,17,19,21,23,28],derivati:[13,33],derivative_fn:[13,33],descend:[5,9,11,29,30],descent:[0,1,3,7,8,12,28,29],describ:[0,2,4,5,6,8,10,11,12,13,18,22,23,28,30,31,33],descript:[0,8,9,28],design:[0,1,3,4,5,6,7,10,11,12,13,15,16,17,18,19,23,28,30,31,32,33],designmatrix:[0,28],desir:[0,2,4,5,13,14,28,29,32,33],despit:[1,12],destroi:22,det:[5,22,29],detail:[0,6,11,13,14,22,23,29,32,33],detect:[3,8,12],determin:[0,2,3,4,5,6,8,9,10,11,12,13,16,22,25,28,29,30,31,32,33],determinist:[7,13,25,32,33],dev:[1,23],develop:[0,3,5,8,10,11,12,21,22,23,28,29,30,31],deviat:[0,1,2,4,5,6,19,23,25,28,29,30,31],devic:[3,4,14],devis:12,df1:28,df:[4,8,11,13,28,33],di:0,diag:[5,8,29,30],diagnost:[1,10],diagon:[0,5,7,13,18,22,23,25,28,29,30,32,33],diagonaliz:[5,29],diagram:10,diagsvd:6,dice:[6,25,31],dict:[6,8,32],dictionari:0,did:[0,1,5,6,7,10,11,14,23,28,30,31,32,33],die:1,diff1:2,diff2:2,diff:2,diff_ag:2,diffeent:8,differ:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,15,17,21,22,23,25,27,28,29,30,31,32],differenti:[0,3,16,21,22,28,29,32],differential_oper:2,difficult:[0,1,6,10,13,23,25,28,31,33],difficulti:[0,1,13,28,32,33],diffonedim:2,digit:[0,1,3,4,6,23,24,26,28],dilemma:[13,33],dilut:1,dim:[4,11,14,22],dimens:[0,1,2,3,4,5,8,9,11,14,16,17,22,28,29,30],dimension:[0,4,5,6,9,11,13,14,19,21,22,28,30,31,32,33],dimensionless:[0,3,28],diment:22,dimnsion:4,diod:3,direct:[0,1,2,4,7,11,12,13,14,28,29,32,33],directli:[1,4,5,6,25,29],directori:[0,7,32],disadvantag:[0,28],disappear:[3,6,31],disc_loss:4,disc_tap:4,discard:[6,11,31,32],disciplin:[0,3,12],disclaim:25,discord:28,discourag:[13,32,33],discov:[0,28],discover:[5,30],discret:[1,3,5,7,13,30,31,32,33],discrimin:[4,7,10,11,32],discriminator_loss:4,discriminator_loss_list:4,discriminator_model:4,discriminator_optim:4,discuss:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,27,28,29,30,31,33],diseas:[7,32],disguis:[6,29,30],disord:[1,7,32],displai:[0,1,3,4,5,6,7,8,9,10,11,12,14,23,25,28,29,31,32],displaystyl:[0,5,17,28,29,30],disregard:[0,28],dissimilar:[11,14],dist:14,distanc:[0,8,9,11,14,25],distance_list:9,distinct:[3,7,8,9,10,14,32],distinctli:8,distinguish:[0,4,7,8,25,28,32],distplot:0,distribut:[0,1,4,6,7,10,11,13,14,15,16,18,19,21,22,23,28,29,32,33],distrubut:[0,15,21,23,28],dive:[0,8,22,28],diverg:[1,13,32,33],divid:[0,1,3,5,6,7,8,9,11,12,25,28,29,30,31,32],divis:[6,8,9,13,22,25,31,32,33],dlopen:[3,4,14],dna:[7,32],dnn1:4,dnn2_gru2:4,dnn:[0,1,2,4,12,28],dnn_kera:1,dnn_model:1,dnn_numpi:1,dnn_scikit:[0,1,28],doamin:[30,31],doc:[0,6,16,17,19,20,21,23,24,26,27,28,32,33],document:[4,9,11,13,32,33],doe:[0,1,2,3,4,5,6,8,10,11,12,13,14,16,22,23,25,28,31,32,33],doesn:[3,9,12],dog:[1,3,4],domain:[5,8,13,23,30,31,32,33],domin:[0,28],don:[0,1,3,5,6,7,8,11,13,15,21,23,28,29,32,33],done:[0,2,3,4,5,6,9,10,11,13,17,22,23,28,29,30,31,32,33],dot:[0,2,3,5,6,7,8,9,10,11,12,13,22,23,25,28,29,30,31,32],doubl:[3,4,22,28],doubli:1,doubt:23,down:[0,3,6,9,11,12,13,32,33],download:[0,1,3,5,6,22,23,27,28],downsampl:3,dozen:1,dq:[6,31],drag:[13,33],dramat:11,drastic:4,draw:[4,6,10,13,31,32,33],drawback:[0,1,3,13,29,32,33],drawn:[1,4,6,7,11,25,28,31,32],drive:[3,4],driven:3,drop:[0,1,5,6,11,13,25,28,29,30,31,33],dropna:[0,6,28,31],dropout:4,dt:[2,3,13,25,33],dtype:[0,1,2,3,4,14,22,28,29],dual:8,dualiti:6,dub:[0,28],due:[1,2,5,6,8,10,12,13,26,28,29,31,32,33],dummi:0,dure:[0,1,3,4,8,9,11,17,20,21,23,28,31,33],dwell:0,dwh:1,dwo:1,dx:[2,3,8,25],dx_1:25,dx_1p:[6,31],dx_2p:[6,31],dx_mp:[6,31],dx_n:25,dxp:[6,31],dy:[1,8,25],dylib:[3,4,14],dynam:4,dz:8,e:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,25,26,28,29,30,31,32,33],e_:[0,2,28],each:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,21,22,24,25,26,28,29,30,31,33],eager:31,eapprox:[0,28],earli:[1,13,33],earlier:[0,5,7,8,9,11,12,13,20,28,29,32,33],earthexplor:[6,23],eas:[6,9,14,31],easi:[0,5,6,7,8,9,10,11,12,13,18,21,22,28,29,30,31,32,33],easier:[5,6,8,9,13,25,28,29,31,33],easiest:[13,32,33],easili:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,22,23,28,29,30,31,32,33],eastern:[26,28],ebind:[0,28],eblock:9,econometr:28,economi:5,ecosystem:[21,28],ect:24,edg:3,edgecolor:[6,31],edu:[13,32],educ:[0,23,28,32],eff:25,effect:[1,4,10,13,25,33],effic:1,effici:[0,3,10,13,21,22,25,28,32,33],efron:[6,31],egrad:[13,33],eig:[5,11,13,22,25,28,29,32,33],eigen:25,eigenpair:[5,11,29],eigenvalu:[0,5,8,11,13,22,28,29,30,32,33],eigenvector:[5,11,13,17,29,30,33],eight:[22,28],eigval:[22,25,28],eigvalu:[11,13,32,33],eigvec:[22,25,28],eigvector:[11,13,32,33],eispack:[22,28],either:[1,5,6,7,8,9,10,11,13,15,16,23,25,28,29,30,31,32,33],elabor:25,elarn:3,electr:[0,3,12,28],electron:28,eleg:11,element:[1,2,3,4,5,6,7,8,11,12,13,17,18,20,21,22,23,24,27,29,30,31,32],elementari:[10,13,22,33],elementwis:[3,13,33],elementwise_grad:[2,13,33],elessar:28,elif:[2,14],elim:22,elimin:[3,8],els:[1,2,3,4,7,9,12,13,14,22,32,33],elu:1,elus:[0,28],email:[24,26,28],embed:[0,11,29],embodi:[6,19,23,31],emit:25,emner:27,emphas:[0,10,21,28],emphasi:[0,21,27,28],empir:[1,11,25],emploi:[0,1,5,6,11,13,23,25,28,29,30,31,32,33],employ:0,empti:[6,10,31],emul:12,en:[21,27],enabl:11,enbodi:[6,31],encod:[0,3,5,7,9,11,14,17,28,29,30,32],encompass:[0,23,25],encount:[0,1,5,6,7,13,25,28,29,31,32,33],encourag:23,end:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,22,23,25,26,28,29,30,31,32,33],end_box:[],end_nod:2,end_valu:[],endpoint:[3,6],energi:[0,4,6,29,31],enet_coordinate_desc:6,enforc:12,eng:27,engin:[0,1,3,4,21,28],english:23,enocurag:23,enoent:[3,4,14],enorm:3,enough:[0,6,13,28,31,32,33],ensembl:[1,9],ensur:[0,1,2,3,5,6,11,13,25,29,30,31,32,33],entail:28,enter:[5,6,17,29,30],enthought:[0,15,21,23,28],entir:[1,3,7,9,21,25,28,32,33],entiti:[9,12,22,28],entri:[0,5,8,11,12,22,28,29,30,31],entropi:[1,3,7,10,13,28,33],enumer:[0,1,2,3,4,6,8,28,29,30],env:[0,2,3,4,6,7,8,9,11,14,25,28,30,32],environ:[2,9,21,23],eo:[0,6,28,31],eol:[0,28],eosfit:[0,28],epoch:[0,1,3,4,12,13,28,33],epsilon:[0,5,6,7,13,19,23,28,29,30,31,32,33],epsilon_0:[0,28],epsilon_1:[0,28],epsilon_2:[0,28],epsilon_:[0,28],epsilon_i:[0,28,29],eq:[3,13,14,22,25,32,33],eqnarrai:[3,5,6,30,31],equal:[0,1,2,3,4,5,6,8,9,11,12,13,14,15,22,23,25,28,29,30,31,32,33],equat:[1,3,4,5,6,7,8,9,10,11,13,14,16,17,18,19,22,23,25,31],equilibrium:[2,12],equiv:[3,13,22,25,32,33],equival:[0,1,5,7,8,11,13,21,22,28,29,30,31,33],erf:25,eriador:28,eridg:28,err:[0,7,10,32],err_:[6,31],err_sqr:2,errat:[13,32,33],errno:[0,3,4,7,14,32],erron:2,error:[1,2,4,5,6,7,9,11,12,13,15,16,17,18,19,21,22,23,25,30,32,33],error_estimate_corr_tim:25,error_hidden:1,error_output:1,escap:[13,32,33],especi:[1,3,9,12,13,23,33],essenti:[0,5,6,9,10,12,14,23,25,29],establish:[0,6,10,11,15,23,28],estim:[0,1,5,6,7,10,11,13,21,25,28,29,32,33],estimated_mse_fold:[6,31,32],estimated_mse_kfold:[6,31,32],estimated_mse_sklearn:[6,31,32],et:[0,2,4,15,16,17,23,27,28,29,30,31,32,33],eta0:[8,13,32,33],eta:[0,1,3,8,12,13,28,32,33],eta_:[13,33],eta_t:[13,33],eta_v:[0,1,3,28],etc:[0,1,3,5,7,8,9,11,12,13,14,15,21,22,23,25,29,32,33],ethic:21,etsim:31,euclidean:[0,14,29],evalu:[0,2,3,4,5,6,9,13,23,25,28,29,30,31,32,33],evaluationform:[20,23,33],evaluationgrad:[20,23,33],evalut:[13,33],even:[0,1,3,4,5,6,8,9,10,11,12,13,14,21,22,25,28,29,30,31,32,33],evenli:4,event:[5,7,10,25,30,31,32],eventu:[0,5,6,11,12,13,23,26,29,30,31,32,33],everi:[0,1,2,3,4,5,6,9,10,11,12,13,14,21,25,26,28,29,30,31,32,33],everyth:[4,12],everywher:[4,13,32,33],evolv:0,exact:[0,5,11,12,13,22,25,28,29,33],exactli:[0,3,4,6,12,21,23,29,31],exam:28,examin:[6,31],exampl:[5,11,12,13,15,16,19,20,21,22,23,25,27],exce:[1,12,13,33],excel:[0,1,4,5,10,28,29],except:[0,3,4,6,7,8,9,22,32],excess:[0,28],excit:0,exclud:[1,6,12,23,29,30,31,32],exclus:[0,1,3,6,25,28,31,32],execut:[2,5,13,29,33],exemplifi:[13,33],exercic:[26,28],exercis:[5,21,23,24,26,30,31,32,33],exercisesweek35:17,exhaust:[6,31,32],exhibit:[0,5,6,8,28,29,31],exist:[0,1,2,3,4,5,6,7,8,9,13,14,18,22,23,28,29,30,31,32,33],exit:[5,22,29],exp:[0,1,2,5,6,7,8,10,11,12,13,15,16,23,25,28,29,30,31,32,33],exp_term:1,expand:[5,7,11,13,29,32,33],expandus:[0,7,32],expans:[0,3,5,8,10,12,13,28,29,32,33],expect:[0,1,5,6,7,11,12,13,15,16,19,21,23,28,29,32,33],expectation_value_of_h_wrt_p:25,expens:[6,10,13,32,33],experi:[0,1,6,8,13,21,23,28,29,31,32,33],experiment:[0,4,6,9,25,28,31],expert:[1,9],explain:[0,6,9,10,11,13,19,23,28,32,33],explained_variance_ratio_:11,explanatori:[0,28],explicit:[0,3,6,13,22,23,28,29,30,33],explicitli:[0,4,8],explod:1,exploit:[0,3,12,13,28,33],explor:[1,4,6,8,13,21,23,32,33],expon:1,exponenti:[0,1,5,6,10,13,23,25,28,30,31,32,33],export_graphviz:9,export_text:9,exporttext:9,expos:21,express:[0,2,3,5,6,7,10,12,13,16,22,23,25,28,30,31],exptmean:25,exptvari:25,extend:[0,2,7,11,13,17,21,28],extens:[0,12,15,21,28],extent:[0,1,6,27,31],extern:[3,6,9],extra:[1,3,5,26,28,29],extract:[0,3,5,6,7,8,11,13,22,28,29,32,33],extrapol:[0,28],extrem:[0,1,4,5,6,7,8,9,13,16,22,29,30,31,32,33],extremum:[13,32,33],extrins:11,ey:[0,5,6,13,14,22,28,30,32,33],f11:[0,28],f12:[0,28],f13:[0,28],f1:[13,33],f1_grad:[13,33],f1d:[13,33],f2:[13,33],f2_grad_x1:[13,33],f2_grad_x1_analyt:[13,33],f2_grad_x2:[13,33],f2_grad_x2_analyt:[13,33],f3:[13,33],f3_grad:[13,33],f3_grad_analyt:[13,33],f4:[13,33],f4_grad:[13,33],f4_grad_analyt:[13,33],f5:[13,33],f5_grad:[13,33],f6:[13,33],f6_for:[13,33],f6_for_grad:[13,33],f6_grad_analyt:[13,33],f6_while:[13,33],f6_while_grad:[13,33],f7:[13,33],f7_grad:[13,33],f7_grad_analyt:[13,33],f8:[13,33],f8_grad:[13,33],f9:[0,13,28,33],f9_altern:[13,33],f9_alternative_grad:[13,33],f9_grad:[13,33],f:[0,1,2,3,4,5,6,7,8,10,12,13,14,16,18,19,22,25,26,28,29,30,31,32,33],f_0:[3,10],f_1:[10,13,32,33],f_2:[12,13,32,33],f_3:12,f_:10,f_d:25,f_grad:[13,33],f_grad_analyt:[13,33],f_i:[0,6,12,16,31],f_m:[3,10],f_n:3,f_raw:2,f_vec:2,f_wrap:2,face:[13,32,33],facecolor:[6,8,25,31],facil:[0,15,21,28,32,33],facilit:12,fact:[0,1,3,5,9,11,12,13,28,29,30,31,32,33],factor:[0,1,3,5,6,9,10,11,13,22,25,28,29,30,31,33],factori:[13,33],fade:6,fafab0:[9,10],fahimeh:[26,28],fail:[0,6,8,9,11,13,26,28,31,32,33],fail_on_error:[0,7,32],failur:[7,32],fairli:[1,2,25],faisal:[16,29],fake:4,fake_loss:4,fake_output:4,fall:[8,9,24],fals:[0,1,2,3,4,5,6,7,9,10,14,22,23,28,29,30,31,32,33],famili:[0,7,8,25,32],familiar:[0,3,5,6,8,15,21,22,23,25,28,30,31],famou:[6,12],far:[0,3,4,5,6,8,11,12,13,14,28,29,32,33],fashion:[0,9,10,28],fast:[1,3,6,10,12,13,21,25,28,31,32,33],faster:[1,11,13,33],fastest:[13,22,32,33],favor:[7,32],favorit:25,fc:3,fd:[0,7,32],featur:[0,1,3,5,6,7,8,10,11,12,13,18,21,23,25,28,30,31,32,33],feature_nam:[0,1,7,9,32],feautur:9,fed:1,feed:[0,2,3,11,21,28],feed_forward:1,feed_forward_out:1,feed_forward_train:1,feedback:[4,20,28],feeddorward:4,feedforward:[1,4,12],feel:[0,5,6,11,13,15,16,21,23,26,28,30,33],feet:0,felt:23,fetch:[6,23],few:[1,3,4,5,9,25,28,33],fewer:[0,9,11,28],ffnn:[1,12],field:[0,3,6,12,21],fifth:[0,6,15,16,23,28],fig:[0,1,2,3,4,6,7,12,13,14,23,28,32,33],fig_id:[0,6,7,9,28,29,31,32],figaxi:25,figsiz:[0,1,2,3,4,6,7,8,9,10,28,31,32],figur:[0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,21,23,28,29,30,31,32,33],figure_id:[0,6,7,9,28,29,31,32],figurefil:[0,6,7,9,28,29,31,32],file:[0,2,3,4,5,6,7,9,14,23,28,29,30,31,32],file_prefix:4,filenam:28,filenotfounderror:[0,7,32],fill:[5,9,29],filter:[0,3,4,7,32],financ:0,find:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,21,23,25,28,29,30,32],fine:[0,14,15,28],finish:2,finit:[3,5,6,12,13,17,25,29,30,31,33],first:[0,1,2,3,5,6,7,8,9,10,11,13,14,15,16,17,22,23,25,26,27,31],first_moment:33,first_term:33,firsteigvector:11,fit:[1,3,4,5,6,7,8,9,11,12,13,15,16,17,23,25,29,31,32,33],fit_beta:[6,29,30],fit_intercept:[0,5,6,29,30,31],fit_mod:9,fit_transform:[0,6,8,9,11,31,32],fiti:[0,28],five:[0,9,17,23,28,29,32],fix:[0,3,4,6,10,11,12,13,23,28,31,32,33],fixedloc:6,flag:4,flat:[3,4,12,13,14,32,33],flatten:[1,3,4,5,22],flexibl:[1,6,8,10,12,28,31],flip:[26,28],float32:[4,9],float64:[4,22,28,29],floor:[],flop:[5,22,29],flow:[1,4,12],fluctuat:[5,30],fly:11,fm:[0,28],fmax:3,fmesh:[13,33],fn:7,fname:[0,7,32],focu:[0,3,4,5,6,15,21,27,28,29,30,31],focus:[1,6,7,22,29,30,32],fold:[6,9,23],folder:[0,1,3,4,6,14,23,28,31],follow:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33],font:[0,7,25,28,32],fontdict:25,fontsiz:[1,6,8,9,10,25],fontweight:1,footprint:3,foral:[8,29],forc:[0,5,6,10,11,28,29,30,32],forcast:4,forecast:[4,12],forest:[0,1,9,21,28],forget:11,form:[0,3,4,5,6,7,8,9,11,12,13,17,21,22,23,25,28,29,30,31,32,33],formal:[3,4,14,25],format:[0,1,2,3,4,6,7,8,9,10,11,21,25,27,29,30,31,32],format_data:4,formatstrformatt:[6,13,23,32,33],formul:[4,6,11,14],formula:[3,13,25,32,33],forth:[4,12],fortran2003:[21,28],fortran2008:23,fortran90:25,fortran:[0,15,21,22,28],fortun:[0,11,29],forward:[0,3,6,21,22,28,31],foster:28,found:[1,2,3,4,5,6,12,13,14,19,20,23,28,29,30,31,33],foundat:[21,28],four:[4,5,6,8,12,22,23,24,26,28,30],fourier:[0,28],fourierdef1:3,fourierdef2:3,fourierseriessign:3,fourth:[12,28,29],fp:7,frac:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,19,22,23,25,28,29,30,31,32,33],fractal:9,fraction:9,frame:[7,32],framework:[1,3,4,8,10,14,25],frank:[5,11],frankefunct:[5,6,11,23,29],fredli:[26,28],free:[0,6,11,13,15,16,21,22,23,25,26,27,28,33],freecodecamp:21,freedom:[5,30],freeli:[0,23],frequenc:[3,6,7,25,31,32],frequent:[0,8,9,13,32,33],frequentist:21,fresh:10,fridai:[16,17,18,19,20,26,28],friedman:[6,18,23,24,27,28],friendli:4,frodo:28,frog:3,from:[0,1,2,3,4,6,7,8,9,11,13,14,16,17,18,19,21,22,23,25,26,27,28],from_cod:9,from_logit:[3,4],from_tensor_slic:4,fromnumer:2,front:[0,4,5,15,16,28,29,30],fulfil:[2,5,12,29],full:[0,1,3,5,7,9,10,13,25,28,29,32,33],full_matric:[5,29],fulli:[3,6,12,24,25,31,32],fun:[2,21,28],fun_nam:[],func:2,functionali:11,fundament:[0,6,21,28,31],funtion:2,further:[2,7,9,28],furthermor:[0,3,5,6,7,11,12,13,17,21,23,28,29,30,31,32,33],futur:[0,4,8,9,28],futurewarn:8,fy:[15,23,24,26,27,28],fys4155:23,fys5419:[27,28],fys5429:[27,28],g0:2,g:[0,1,2,3,4,6,8,9,10,11,13,25,28,30,31,32,33],g_0:2,g_1:[2,10],g_2:[2,10],g_:[2,9,10],g_analyt:2,g_dnn_ag:2,g_euler:2,g_i:2,g_m:[3,10],g_n:3,g_re:2,g_t:2,g_t_d2t:2,g_t_d2x:2,g_t_dt:2,g_t_hessian:2,g_t_hessian_func:2,g_t_jacobian:2,g_t_jacobian_func:2,g_trial:2,g_trial_deep:2,g_vec:2,gain:[1,5,7,9,10,13,29,30,31,33],galleri:[0,28],game:4,gamge:28,gamma1:8,gamma2:8,gamma:[0,2,8,9,10,11,13,28,32,33],gamma_0:10,gamma_1:10,gamma_1x:10,gamma_:[0,28],gamma_i:[0,8,25,28],gamma_j:[13,33],gamma_k:[13,32,33],gamma_m:10,gamma_x:[0,28],gap:[6,8],gate:[4,12],gather:[0,1,12,29],gaug:12,gaussbacksub:22,gaussian:[4,5,6,8,14,25,30,31],gaussian_point:14,gaussian_rbf:8,gave:[13,33],gavra:28,gbc:[24,28],gca:[2,6,8,13],gd:[1,32],gd_clf:10,gdclassiffiercgain:10,gdclassiffierconfus:10,gdclassiffierroc:10,gdm:[13,33],gdregress:10,ge:[1,5,7,25,29,32],gen:[0,7,32],gen_loss:4,gen_tap:4,gender:[0,28],genener:4,gener:[0,1,2,3,5,6,8,10,11,12,13,14,15,16,17,19,20,22,23,25,27,29,30,31,32,33],generallay:12,generate_and_save_imag:4,generate_imag:4,generate_latent_point:4,generate_simple_clustering_dataset:14,generated_imag:4,generator_loss:4,generator_loss_list:4,generator_model:4,generator_optim:4,genom:21,geodes:11,geometr:[0,13,28],geometri:[5,30,31],georg:27,geotif:[6,23],geq:[2,5,8,9,13,29,30,32,33],geron:[0,15,24,27,28,33],get:[0,1,2,3,4,5,6,7,9,10,11,13,15,20,21,22,23,25,26,28,29,30,31,32,33],get_dummi:9,get_paramet:2,get_split:9,get_yaxi:8,get_yticklabel:6,getattr:[],gg:28,gibb:[21,28],gif:4,gini:10,gini_index:9,ginvers:13,git:[0,15,21,28],giter:[13,33],github:[0,6,9,15,16,17,19,20,21,23,24,26,27,28,29,32,33],gitlab:[0,15,21,23,28],give:[0,1,2,3,5,6,7,8,9,10,12,13,14,17,21,23,25,28,29,30,31,32,33],given:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,22,23,25,28,29,30,31,32,33],global:[6,7,13,23,32,33],glorot:1,gnew:13,go:[0,1,3,5,6,8,9,11,12,13,23,28,29,30,31,32,33],goal:[0,7,9,28,32],goe:[0,1,2,5,6,13,14,18,22,28,29,30,31,32,33],golden:[13,33],gone:[5,29,30],gong:1,good:[1,3,4,5,6,9,10,11,13,17,21,25,27,29,30,31,32,33],goodfellow:[4,24,27,28,29,30,32,33],googl:[1,4,21,28],got:[1,6,13,23],gotten:28,gov:[6,23],gp:27,gpu:[1,13,21,28,33],grad:[2,13,33],grad_analyt:[13,33],grad_concatenate_arg:[],grade:[23,24],gradient:[0,3,4,7,8,9,12,21,28,29],gradient_desc:33,gradientboostingclassifi:10,gradientboostingregressor:10,gradients_of_discrimin:4,gradients_of_gener:4,gradienttap:4,gradual:[1,14],grai:[4,6,23],graph:[1,9,11,12,13,32,33],graph_from_dot_data:9,graphic:[0,1,9,28],grasp:0,gray_r:[1,3],grayscal:3,great:[5,13,32,33],greater:[1,7,25,32],greatli:[13,33],greedi:[9,32],green:[0,3,9,25],grei:4,grid:[1,3,6,7,8,12,25,29,30,31],gridsearch:32,gridsearchcv:32,grossli:[13,32,33],ground:[0,28],group:[0,6,7,9,14,21,23,24,26,28,31],groupbi:[0,28],grow:[1,3,9,10],growth:[0,28],gru:4,guarante:[0,4,13,25,28,29,32,33],guess:[1,4,10,13,14,32,33],guestrin:10,guid:1,guidanc:23,guidelin:[20,33],h1:2,h:[0,1,5,6,8,13,16,18,23,25,26,27,28,29,32,33],h_1:[2,13,32,33],h_2:[2,13,32,33],h_:[0,13,28,32,33],h_m:10,ha:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,22,23,25,28,29,30,31,32,33],haa:26,habit:[0,29],had:[0,1,6,7,13,28,31,32,33],hadamard:[1,12,13,33],half:[1,8,9],halv:10,hand:[0,1,2,3,5,11,12,13,15,21,22,23,24,25,26,27,28,29,30,31,32,33],handi:[3,23],handl:[0,1,2,5,9,11,21,30],handle_unknown:9,handsid:12,handwrit:12,handwritten:[1,5],handwrittennot:32,happen:[1,2,3,4,5,6,10,13,25,29,33],hard:[1,7,8,10,13,32,33],hardcopi:[21,28],harder:[0,1,29],harmon:3,hasn:[],hassl:[0,15,21,28],hast:[21,28],hasti:[0,6,15,16,17,18,23,24,27,28,29,31,32],hat:[0,1,5,6,7,9,10,11,12,13,17,18,22,23,29,30,31,33],have:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,21,22,23,25,26,28,29,30,31,32,33],haven:1,he:[7,32],head:[0,4,10,25],header:[0,28],heads_proba:10,health:[0,29],hear:[0,13,28,33],heart:[0,7,28,32],heatmap:[0,1,3,7,28,32],heavili:0,heavisid:1,height:[1,3,6,29,30],held:[13,33],help:[0,1,4,12,13,16,23,28,33],helper:[4,14],henc:[0,5,6,8,9,10,12,13,18,23,28,29,30,31,32,33],henrik:[26,28],her:[7,32],here:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,25,28,29,30,31,32,33],hereaft:[0,8,12,28],hermitian:22,hessenberg:22,hessian:[0,2,5,13,16,30],heterogen:[9,10],hi:[7,32],hidden:[1,3,4,12],hidden_bia:1,hidden_bias_gradi:1,hidden_layer_s:[0,1,28],hidden_neuron:4,hidden_weight:1,hidden_weights_gradi:1,hierarch:[5,29,30],high:[0,1,2,3,4,5,6,9,10,11,13,14,21,22,23,28,29,31,32,33],higher:[0,1,3,5,6,8,13,23,28,29,30,31,32,33],highest:[1,2],highli:[0,3,4,10,18,21,22,27,28,29,30,31],highwai:0,hing:8,hint:[13,16,29,30,32,33],hip:21,hire:0,hist:[4,6,7,25,31,32],histogram:[0,6,7,25,32],histor:[7,11,32],histori:[3,4,12],hitherto:[5,30],hjorth:[26,28,29,30,31,32,33],hobbi:25,hoc:[5,29],hoff:27,hold:[1,3,6,13,14,31,32,33],holder:[0,28],holomorphic_grad:2,home:0,homepag:[23,28],homework:[6,13],homogen:[1,3,9,10,13,33],honchar:2,hopefulli:[0,11,25,28],horizont:11,hors:[3,7,32],hot:[1,9],hour:[1,21,24,25,26,28],how:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,21,22,23,25,28,29,30,31,33],howev:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,21,22,23,25,28,29,30,31,32,33],hspace:[0,4,8,10,25,28],hstack:1,htf:[24,28],html:[0,9,11,17,19,21,23,24,26,27,28,30],http:[0,3,4,6,9,11,13,16,17,19,20,21,22,23,24,26,27,28,29,30,31,32,33],huang:[0,28],huber:[0,28],huge:[1,3,4,21],human:[0,1,3,6,9,12,29,30],humid:9,hundr:1,hungri:1,huse:28,hybrid:24,hydrogen:[0,28],hyperbol:[1,4,12],hyperparam:8,hyperparamet:[3,4,5,6,9,13,17,28,29,30,32,33],hyperplan:11,i0:[0,28],i1:[0,6,8,12,28,29,30],i2:[0,8,12,28],i3:[0,12,28],i5:[0,28],i:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,22,23,25,26,28,29,30,31,32,33],i_1:[5,6,30,31],i_2:[5,6,30,31],i_:[13,32,33],ian:27,ic:1,id:[7,13,32,33],ida:[26,28],idea:[0,1,2,3,4,6,9,10,12,13,22,23,29,30,31,32,33],ideal:[0,2,6,8,13,25,28,31],idem:[6,31],ident:[5,6,12,13,17,22,23,29,33],identical:[30,31],identifi:[0,1,7,9,11,12,13,14,28,29,32,33],ieor:25,ifi:27,ifs:[21,28],ignor:[0,1,3,9,29],ii:[22,25],iii:[22,28],ij:[0,1,3,6,8,12,14,16,18,22,23,25,28,29,30],ik:[0,22,28,29],illustr:[5,7,10,12,13,14,21,28,31,32,33],ilsvrc:33,im:6,imag:[1,3,4,6,9,11,12,14,27,28],image_at_epoch_:4,image_batch:4,image_height:3,image_path:[0,6,7,9,28,29,31,32],image_width:3,imageio:[6,23],images_from_seed_imag:4,imagin:1,immedi:[0,3,4,6,15,21,28],implement:[0,2,3,4,5,6,8,9,10,11,12,13,14,17,23,25,28,29,30,32,33],impli:[3,5,6,7,13,22,29,30,31,32,33],implicit:3,implicitli:[11,25],importantli:3,impos:[0,6,11,12,28],imposs:[0,5,28,29],impress:[0,12,28],improv:[0,4,5,9,10,11,13,23,29],impur:9,imread:[6,23],imshow:[1,3,4,6,23],in1:[],in2:[],in3050:[27,28],in3310:28,in4080:[27,28],in4300:[27,28],in4310:27,in5400:3,in5550:27,in_out_neuron:4,inaccur:[13,32,33],inact:12,inadequ:[0,28],inch:[6,29,30],includ:[0,1,2,3,4,5,6,7,11,12,15,16,17,20,21,23,25,26,27,28,29,30,31],include_bia:[6,9,31],inclus:17,incom:12,incorrect:1,incoveni:8,increas:[0,1,3,4,5,6,8,9,11,12,13,23,25,28,29,30,31,33],increasingli:25,increment:33,ind:6,inde:[0,2,4,5,6,13,28,29],indefinit:4,independ:[0,5,6,7,8,12,13,25,28,29,32,33],index:[0,1,3,4,10,14,21,22,25,27,28],index_col:[0,28],indic:[0,1,3,4,5,6,9,10,11,13,16,23,28,29,33],indispens:[6,31],individu:[1,6,7,10,12,25,28,29,31,32],indu:0,indx1:2,indx2:2,indx3:2,indx:22,ineffici:[3,13,33],inequ:[8,13],inequaltii:[32,33],inertia:[13,33],inf1000:[21,28],inf1100:[21,28],inf1100l:[21,28],inf1110:[21,28],inf3000:28,infeas:9,infer:[0,1,4,6,27,28,31],inferenc:1,infil:[0,6,7,9,28,31,32],infin:[5,6,7,11,18,29,30,31,32],infinit:3,infinitesim:25,influenc:[6,10,31,32],influenti:1,info:28,inform:[0,1,3,4,6,9,11,12,13,14,22,23,27,28,31,32,33],infti:[3,6,13,25,31,32,33],ingeni:[13,32,33],ingrad:2,ingredi:[0,9,28],inher:[6,31],inherit:[22,28],initi:[0,1,2,6,10,13,14,22,25,28,31,32,33],inject:14,inlin:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,22,23,25,28,29,30,31,32,33],inner:[0,13,29,33],inp:4,inplac:[13,33],input:[0,1,3,4,5,6,7,8,12,13,14,23,25,28,29,30,31,32,33],input_dim:1,input_shap:[3,4],inputs:1,inputs_shuffl:[0,1,29],insert:[3,5,6,8,10,25,29,30,31],insid:[0,4,7,32],insight:[0,1,5,21,28,29,30,31],insist:[6,13,29,30,33],inspect:32,inspir:[0,1,12,28],instabl:2,instal:[0,1,5,6,9,15],instanc:[0,1,2,4,6,9,11,13,28,29,31,32,33],instanti:10,instead:[0,1,2,3,4,5,6,8,9,11,13,14,22,23,25,28,29,31,32,33],institut:1,instruct:[0,1,15,16,28],int32:10,int_0:25,int_:[3,6,25,31],int_a:25,intak:[0,29],integ:[1,2,13,14,22,25,28,33],integer_vector:1,integr:[3,6,25,28,31],intellig:[0,14,27,28],intend:10,intens:1,intention:14,interact:[0,6,9,12,21,23,28],intercept:[0,6,8,11,13,16,23,28,30,31,32,33],intercept_:[0,6,8,9,13,28,29,30,32,33],interchang:[5,12,22,30,31],interconnect:1,interest:[0,1,2,3,4,5,6,7,8,9,12,21,23,25,28,29,30,31,32,33],interfac:[0,1,22,29],interior:[0,9,28],intermedi:[22,29],intern:[1,2,10,12],interpol:[1,3,4,6,12,23],interpr:[5,29,30],interpret:[0,1,6,9,10,12,13,17,19,22,23,25],interv:[0,3,5,6,7,13,18,23,25,28,29,30,32,33],intial:[13,32,33],intract:[0,4,29],intrins:[3,11,22,25,28],intro:[21,27,28],introduc:[0,1,5,6,8,10,12,17,22,23,25,28,31,32],introduct:[1,2,4,13,17,20,27,29,32,33],introductori:[0,4,22,27,28,29],intuit:[0,5,6,8,12,13,23,28,30,31,33],inv:[0,5,13,28,29,30,32,33],invalid:[1,8],invalu:[0,13,15,21,28,32,33],invari:1,invd:[5,30],inver:8,invers:[0,3,6,13,15,16,17,23,28,29,32,33],inverse_transform:8,invert:[0,5,7,10,13,28,30,32,33],invh:[13,33],invok:[0,8],involv:[0,2,6,7,11,12,29,31,32,33],io:[0,17,19,21,23,24,26,27,28,29],ip:[0,8,25,28],ipca:11,ipykernel_1323:[],ipykernel_1390:[],ipykernel_1539:[],ipykernel_1579:[],ipykernel_58656:[],ipykernel_58739:[],ipykernel_58840:[],ipykernel_58862:[],ipykernel_6316:[],ipykernel_6403:[],ipykernel_6690:[],ipykernel_6729:[],ipykernel_95354:1,ipykernel_95419:6,ipykernel_95519:28,ipykernel_95542:31,ipynb:[21,23,28],ipython:[0,5,7,9,11,14,15,21,23,28,29,32],iq:[6,31],iri:[8,9],irreduc:[6,31],irrelev:[5,29],irrespect:[0,28],isbox:[],iscomplexobj:2,iseffici:33,isn:[5,30,31],isnul:0,isomap:11,isotop:[28,32,33],issu:[1,9,22,30],it_arrai:[13,33],item:[0,13,28,33],items:[22,28],iter:[1,2,4,6,8,9,11,13,14,25,31,32],its:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,18,21,22,23,25,28,30,31,32,33],itself:[5,6,12,19,23,25,29,30,31],j1:22,j:[0,1,2,3,4,5,6,8,9,11,12,13,14,16,17,18,19,22,23,25,27,28,29,30,31,32,33],j_:6,j_lasso_sk:6,j_ridge_sk:6,j_sk:6,jackknif:[6,21,28,31],jacobian:[2,13,32,33],jacobian_shap:[],jakobsen:26,jason:4,jax:[21,28],jensen:[26,28,29,30,31,32,33],jerom:[18,23,27],ji:[12,22],jit:[13,33],jj:[0,5,6,28,30,31],jk:[0,1,6,12,22,28],jl:[0,28],jm:22,jnp:[13,33],job:[2,8,10],johansen:28,join:[0,3,4,6,7,9,14,28,29,31,32],joint:[4,5,30,31],judg:[13,32,33],judgement:[6,23],julia:[21,22,23],jump:[23,25],junk:4,jupit:28,jupyt:[0,9,15,19,21,23,27,28],just:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,21,23,25,28,29,30,31,32,33],justif:0,justifi:[3,10],k0:[7,32],k1:[7,32],k:[0,1,3,5,6,7,8,9,10,11,12,13,14,21,22,23,25,26,28,29,30,33],kaggl:[6,23],kappa_d:25,karl:[26,28],karush:8,katrin:[26,28],keep:[0,1,4,5,6,11,13,14,22,23,28,29,30,31,32,33],keepdim:[1,2,6,10,22,31],kei:[0,1,3,6,12,29],kept:[4,6,14,31],kera:[0,4,21,23,28],kernel:[0,1,3,4,14,21,28,29],kernel_librari:[3,4,14],kernel_regular:[1,3],kernel_s:4,kernelpca:11,kev:[0,28],kevin:[27,28],keyboardinterrupt:[1,2],keyerror:[],keyword:[6,13,22,28],kfold:[6,31,32],kg:1,ki:22,kick:[1,13,33],kiener:2,kilomet:[6,29,30],kind:[0,2,3,4,8,12,13,14,28,29,33],kj:[6,12,22,29,30],kjm:[21,28],kkt:8,kl:25,km:[12,28],kmean:14,kmeanspoint:14,kn_k:14,know:[0,1,2,5,6,8,13,21,28,29,30,32,33],knowledg:[0,21,28],known:[1,3,4,5,6,7,8,9,12,22,23,25,27,29,30,31,32],kondev:[0,28],kp:25,kpca:11,kroneck:14,kuhn:8,kvalsund:[26,28],kwarg:2,kwown:[0,28],l0:[7,32],l1:[0,1,3,7,28,32],l1_l2:[1,3],l1regl:5,l2:[1,3],l:[0,1,2,3,5,6,7,8,10,11,12,13,19,22,23,25,28,29,32,33],l_1:[7,32],l_2:[7,13,32,33],l_:22,l_j:12,la:[13,33],la_i:12,la_k:12,lab:[20,21,23,28],label:[0,1,2,3,4,5,6,7,8,9,10,12,13,14,21,22,23,25,28,29,30,31,32,33],label_prob:33,labelencod:[7,10,32],labels:[6,8,9],labels_shuffl:[0,1,29],laboratori:[24,30],lack:[0,28],lagari:2,lagrang:[8,11],lambda:[0,1,2,3,5,6,7,8,10,12,13,17,18,23,25,28,29,30,31,33],lambda_0:11,lambda_1:[5,8,11,29],lambda_2:[8,11],lambda_:11,lambda_i:[8,11],lambda_iy_i:8,lambda_jy_iy_j:8,lambda_k:8,lambda_n:[5,8,29],lamda:1,land:[0,8],landmark:8,landscap:[13,32,33],langl:[0,6,11,25,28,29],languag:[0,1,4,8,15,21,22,23,27,28],lapack:[22,28],laplac:[5,30,31],laptop:21,larg:[0,1,2,4,5,6,8,9,10,11,13,15,21,22,23,25,27,28,29,31,32,33],larger:[0,3,5,6,8,10,11,13,17,25,28,29,30,31,32,33],largest:[4,8,11],lasso:[0,7,21,28],lasso_sk:6,last:[0,1,2,3,4,5,6,7,8,10,12,13,14,17,18,22,23,25,26,28,30,31,33],latent:4,latent_dim:4,latent_point:4,latent_space_value_rang:4,later:[0,1,4,7,8,12,13,14,15,21,23,28,32,33],latest:[4,21],latest_checkpoint:4,latex:28,latter:[0,3,6,7,8,11,13,16,22,23,25,28,29,30,31,32,33],lattic:12,law:0,layer:[0,4,13,28,33],lbfg:[7,9,10,11,32],lcc:[5,6,30,31],lda:11,ldot:[0,6,11,19,23,28,31,32],le:[5,7,10,13,17,25,29,30,32,33],lead:[0,1,3,5,6,7,8,9,10,11,12,13,16,17,22,25,28,29,30,31,32,33],leaf:9,leaki:1,leakyrelu:4,lear:[13,32,33],learn:[3,4,5,6,7,8,9,10,12,18,22,24,26,27],learnabl:3,learner:10,learnig:28,learning_r:[8,10],learning_rate_init:[0,1,28],learning_schedul:[13,33],learnt:23,least:[0,7,8,10,11,15,16,17,19,21,22,25,31,32],leat:[13,33],leav:[0,1,3,5,6,9,11,28,30,31,32],lectur:[0,1,5,10,11,12,13,15,17,21,22,23,24,26,27],lecturenot:[0,17,19,21,23,27,28],left:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,16,17,19,22,23,25,28,29,30,31,32,33],leftarrow:[8,12],legend:[0,2,3,4,5,6,7,8,9,10,13,28,29,30,31,32,33],len:[0,1,2,3,4,5,6,8,9,10,11,12,22,28,29,30,31,33],length:[0,1,2,3,4,8,9,13,16,21,28,29,32,33],length_of_sequ:4,leq:[0,5,7,8,13,14,25,28,29,30,32,33],less:[0,1,3,4,5,6,8,9,13,21,25,28,29,30,31,32,33],lessen:1,let:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,22,25,28,29,30,31,32,33],letter:[0,16,22,25,28,29],level:[0,1,5,6,9,21,22,23,24,26,28,31],li:[8,11],lib:[0,2,3,4,6,7,8,9,11,14,28,30,32],liblinear:[8,10],libmetal_plugin:[3,4,14],librari:[0,1,2,3,4,5,6,7,9,10,11,14,15,22,23,25,27,29,30,32],library_loc:[3,4,14],licens:[0,1,15,21,23,28],lie:[0,6,11,25,28,29,31],life:[0,1,8,12,28],lifetim:[13,33],like:[0,1,2,3,4,5,6,7,9,10,11,12,13,15,16,21,22,23,25,28,29,30,31,32,33],likelihood:[0,1,5,9,28,29,33],lim_:25,lima:26,limit:[0,5,6,8,9,11,12,22,23,28,29],lin_clf:8,lin_model:0,lin_reg:9,linalg:[0,2,5,6,8,11,13,22,25,28,29,30,32,33],line1:8,line2:8,line2d:33,line3:8,line:[0,1,2,3,4,6,7,8,10,11,13,14,23,28,29,30,31,32,33],linear:[1,3,5,6,7,9,10,11,12,17,18,21,23,25,31,33],linear_model:[0,5,6,7,8,9,10,11,13,28,29,30,31,32,33],linear_regress:[6,31],linearli:[5,29],linearloc:[6,13,23,32,33],linearregress:[0,6,7,9,28,29,30,31,32],linearsvc:8,lineat:30,liner:[1,3],linerar:10,linewidth:[0,2,4,6,8,9,10,23,31],link:[0,4,9,12,21,23,26,28],linlag:[5,30],linpack:[22,28],linreg:[0,28],linspac:[0,2,3,4,6,8,9,10,13,15,16,22,25,28,29,30,31,33],linu:4,linux:[0,1,15,21,23,28],liquid:[0,28],list:[0,1,2,3,4,7,9,21,23,28,29,32,33],listcomp:[],listedcolormap:[9,10],literatur:[1,7,14,27,31,32],littl:[1,3,9,12],live:8,ll:[0,25,28,29],lle:[0,29],lloyd:[4,14],lmb:[0,2,5,6,30,31,32],lmbd:[0,1,3,28],lmbd_val:[0,1,3,28],lmbda:[13,32,33],ln:[1,13,32,33],load:[0,1,3,4,6,7,9,10,14,23,32],load_boston:0,load_breast_canc:[1,7,9,10,11,32],load_data:[3,4],load_digit:[1,3],load_iri:[8,9],load_librari:[3,4,14],load_pluggable_device_librari:[3,4,14],loc:[0,3,6,7,8,9,10,28,31,32],local:[0,1,2,3,7,12,13,29,32,33],locat:[2,3,8],log10:[0,5,6,30,31,32],log:[0,1,2,4,5,6,7,9,10,11,13,22,23,28,29,30,31,32,33],log_:[0,28],log_clf:10,logaddexp2:[],logaddexp:[],logarithm:[0,5,7,22,28,30,31,32],logbook:23,logic:[0,1,9,28],logist:[0,1,2,8,9,10,11,12,13,21,29],logistic_predict:33,logisticregress:[7,9,10,11,32],logit:[7,32],logreg:[7,9,10,11,32],logspac:[0,1,3,5,6,28,30,31,32],longer:[2,3,8,10,14,22,25,28],loocv:[6,31,32],look:[0,1,2,3,4,5,6,7,8,9,10,11,13,16,18,22,23,25,28,29,30,31,32,33],loop:[1,4,6,10,12,14,21,22,28,31],lose:1,loss:[0,1,3,4,5,6,7,8,10,11,13,22,23,28,30,31],loss_fil:4,lossfil:4,lost:4,lot:[0,1,4,6,31,33],low:[0,6,9,10,11,23,28,29,31],lower:[0,1,3,6,9,10,16,22,29],lowercas:[22,28],lowest:[9,13,25,33],lr:[1,3,4,10],lstat:0,lstm:4,lstm_2layer:4,lstsq:[0,28,29],lt:[6,31],lu:[0,5,28,29],lubksb:22,luckili:2,ludcmp:22,lux:22,lvert:1,lw:[0,28],m:[0,1,2,3,5,6,8,9,10,11,12,13,22,24,25,26,27,28,29,30,31,32,33],m_1:14,m_:[9,12],m_h:[0,28],m_k:14,m_l:12,m_n:[0,28],m_p:[0,28],m_t:[13,33],ma:11,machin:[1,3,4,5,6,7,9,10,11,12,15,22,24,27,29,30,31],machinelearn:[0,6,16,17,19,20,21,23,24,26,27,28,32,33],mackai:27,made:[0,1,3,4,5,6,7,9,11,12,18,23,28,29,32],mae:[0,28],magic:4,magnitud:[1,6,7,13,29,30,32,33],mai:[0,1,2,3,5,6,7,8,9,11,12,13,18,21,22,23,25,28,29,30,31,32,33],mail:[24,26],main:[0,1,3,4,5,6,7,9,22,23,27,29,32],mainli:[0,5,6,7,9,28,29,30,31,32],maintain:[6,31],major:[1,6,9,10,13,22,28,31,32,33],make:[1,2,3,4,5,6,7,8,11,12,13,21,22,23,25,27,30,31,32,33],make_axes_locat:6,make_moon:[8,9,10],make_pipelin:[0,6,10,29,31],make_vjp:2,makedir:[0,6,7,9,28,29,31,32],makeplot:[0,28],malcondit:22,malign:[1,7,9,32],mammographi:[5,30,31],manag:[0,2,3,15,21,23,28],mandatori:[26,28],mani:[0,1,3,4,5,6,7,8,9,11,13,14,21,22,23,25,27,28,29,30,31,32,33],manifold:11,manner:3,manual:[6,29,30,32],map:[0,1,2,6,7,8,11,12,14,23,25,28,32],marc:29,margin:[0,5,8],marit:[0,28],mark:28,marker:[0,7,22,28,32],markov:[21,28],marsaglia:25,mass:[0,1,5,13,29,33],massag:[0,28],masses2016:[0,28],masses2016ol:[0,28],masses2016tre:0,masseval2016:[0,28],master:[6,16,20,23,24,26,32,33],mat1100:[21,28],mat1110:[21,28],mat1120:[21,28],mat:[21,28],match:[1,4,5,13,14,29,32,33],match_complex:[],materi:[4,5,7,13,17,22,26,33],math:[3,7,12,13,22,25,27,28,32,33],mathbb:[0,4,5,6,7,8,11,12,13,14,17,18,19,22,23,25,28,29,30,31,32,33],mathbf:[0,5,6,7,8,13,18,19,22,23,28,29,30,31,32,33],mathcal:[1,5,6,7,13,19,23,30,31,32,33],matheemat:3,mathemat:[0,6,11,12,13,17,21,22,25,27,28,30,32],mathemati:28,mathmlbook:16,mathrm:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,23,25,28,29,30,31,32,33],matmul:[1,2,5,30],matnat:27,matplotlib:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,21,22,23,25,28,29,30,31,32,33],matric:[0,1,3,4,6,7,8,11,13,16,17,21,29,32,33],matrix:[0,2,3,4,6,7,8,10,13,15,16,17,18,19,23,25,31],matshow:1,matter:[2,3,13,29,32,33],max:[0,1,2,3,4,9,10,12,13,26,28,32,33],max_depth:[0,9,10],max_diff1:2,max_diff2:2,max_diff:2,max_it:[0,1,8,9,11,13,28,32,33],max_iter:14,max_leaf_nod:10,max_sampl:10,maxdegre:[0,6,10,29,31],maxdepth:10,maxim:[1,4,5,7,8,11,30,31,32],maximum:[0,2,3,5,7,8,9,10,13,14,28,29,33],maxpolydegre:[5,6,30,31,32],maxpooling2d:3,mbox:[5,6,18,23,29,30,31],mcculloch:12,md:[11,20,23,33],mdoel:4,mean:[1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,21,22,23,25,28,31,33],mean_absolute_error:[0,28],mean_divisor:14,mean_i:25,mean_matrix:14,mean_squared_error:[0,4,6,7,10,28,29,31,32],mean_squared_log_error:[0,28],mean_vector:14,mean_x:25,meaning:[0,4,7,28,32],meansquarederror:[0,28],meant:[2,3,7,10,13,32,33],measur:[0,1,2,5,6,9,11,12,14,19,23,25,28,29,30,31],mechan:[0,4,25,28],median:[0,28,29],medicin:12,medium:[4,8,13,33],medv:0,meet:[0,26],mehta:[0,28,29,30],memori:[3,4,11,12,13,22,33],mention:[0,12,13,23,25,28,32,33],mere:[0,15,28],meshgrid:[2,5,6,8,9,10,11,23,29],messag:[5,13,33],messi:2,met:[0,3,8,29],metadata:2,meteorolog:9,meter:[6,29,30],method:[0,1,2,3,4,5,7,8,11,12,14,16,17,18,19,21,22,25,27,29,30],metion:[6,23],metric:[0,1,3,6,7,9,10,14,15,16,28,29,31,32],metropoli:[21,28],mev:[0,25,28],mgd:[13,33],mglearn:[21,28],mgrid:[13,33],mhjensen:[2,3,4,6,8,9,11,14],mi:10,mia:[26,28],michigan:[28,30,32,33],microsoft:27,mid:1,midel:4,midnight:[16,17,18,19,20],midpoint:9,might:[0,1,2,4,6,9,13,29,30,32,33],mild:9,millimet:[6,29,30],million:[0,28,29,33],mimic:12,min:[0,2,5,8,9],min_:[0,2,5,14,17,28,29,30],min_samples_leaf:9,mind:[0,6,13,23,28,29,30,31,32,33],mindboard:4,mine:[21,28],mini:[1,11,12,13,32],minibatch:[1,11,13],minibathc:[13,33],miniforge3:[0,2,3,4,6,7,8,9,11,14,28,30,32],minim:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,17,18,23,29,30,31,33],minima:[0,1,7,13,28,32,33],minimum:[0,1,2,6,8,9,11,13,29,31,32,33],minmaxscal:[0,29],minor:25,minst:1,minu:[7,32],mirjalili:28,mirror:9,misc:[6,23],misclassif:[8,9,10],misclassifi:[8,10],miser:0,mismatch:1,miss:[0,7,10],mistak:4,mit:27,mix:[1,2,28],mixtur:[13,33],mk:[9,22],mkdir:[0,6,7,9,28,29,31,32],ml:[0,1,10,13,22,23,29,32,33],mlab:25,mlbook:28,mle:[5,7,32],mlp:1,mlpclassifi:1,mlpregressor:[0,28],mm:22,mml:29,mn:[12,25],mnist:[1,11],mod:25,mode:[24,26,28],model:[2,3,5,7,8,9,10,11,13,14,15,16,18,19,21,23,25,27,29,30,31,32,33],model_select:[0,1,3,5,6,7,9,10,11,28,29,30,31,32],moder:10,modern:[0,6,7,21,28,31,32],modif:[2,12,13,33],modifi:[0,1,3,5,7,8,10,12,13,28,29,30,32,33],modul:[0,9,11,22,28,30],modular:25,modulo:25,moe:[11,29],moment:[5,6,13,25,30,31],mondai:28,monitor:[13,33],monoton:[5,12,25,30,31],mont:[0,6,21,25,27,28,31],moor:[5,6,30],more:[0,1,2,4,5,7,8,9,10,11,12,13,14,18,21,25],moreov:[0,3],morten:[26,28,29,30,31,32,33],most:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,21,23,25,28,29,30,31,32,33],mostli:[1,11],motion:[0,13,33],motiv:[1,4],move:[0,4,5,6,7,9,12,13,14,23,25,29,30,31,32,33],mpl:[0,7,28,32],mpl_toolkit:[2,6,13,23,32,33],mplot3d:[2,6,13,23,32,33],mplregressor:1,mse:[0,4,5,6,9,10,15,16,17,19,23,28,29,30,31,32],mse_simpletre:10,mselassopredict:[5,30],mselassotrain:[5,30],mseownridgepredict:[6,30],msepredict:[5,30],mseridgepredict:[0,5,6,30,32],msetrain:[5,30],msle:[0,28],mt:[7,12,32],mu0:25,mu1:25,mu2:25,mu:[0,6,11,13,25,28,31,33],mu_1:29,mu_:[6,25,29,30,31],mu_i:[6,29,30],mu_n:11,mu_x:25,much:[0,1,2,3,4,5,6,8,9,10,11,12,13,22,23,25,28,29,30,31,33],multi:[0,1,3,7,21,28,32],multiclass:[1,7,32],multidimension:[11,12,28],multilay:1,multinomi:[7,32],multipl:[2,4,5,6,7,12,13,25,29,31,32,33],multipli:[3,5,6,11,13,22,25,29,30,33],multiplum:8,multivari:[0,2,10,11,21,25,28],multivariate_norm:[11,14],murphi:[11,27,28],must:[1,2,5,6,8,10,12,13,14,25,29,31,32,33],mutat:[7,32],mutual:[1,3,6,13,31,32,33],mx_:25,myenv:[0,2,3,4,6,7,8,9,11,14,28,30,32],myriad:[0,15,21,28],mz1:25,mz2:25,n1:22,n2:22,n:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,22,23,25,28,29,30,31,32,33],n_0:[12,25],n_:[1,2,3,8,12,25],n_boostrap:[6,10,31],n_bootstrap:[6,31],n_categori:[1,3],n_cluster:14,n_compon:11,n_epoch:[13,33],n_estim:10,n_examples_to_gener:4,n_featur:1,n_filter:3,n_hidden:2,n_hidden_neuron:[0,1,28],n_i:25,n_input:[0,1,3,29],n_instanc:9,n_iter:[32,33],n_iter_i:[9,11],n_job:10,n_k:14,n_l:[12,25],n_layer:1,n_m:9,n_neuron:1,n_neurons_connect:3,n_neurons_layer1:1,n_neurons_layer2:1,n_point:14,n_sampl:[6,8,9,10,14,31],n_split:[6,31,32],n_step:4,n_t:2,n_x:2,nabla:[1,13,32,33],nabla_:[2,13,32,33],nabla_w:[13,33],nag:[13,33],naimi:[0,28],naiv:[7,32],naive_kmean:14,najafi:[26,28],name:[0,1,3,4,5,6,7,8,9,10,12,13,14,15,21,22,23,25,26,28,29,30,31,32,33],nameerror:[10,23,33],namespac:[3,4,14],narrow:[13,33],nary_f:2,nary_op_arg:2,nary_op_kwarg:2,nary_oper:2,nation:[1,5,30,31],nativ:[21,28],natur:[0,1,4,8,9,12,13,23,25,27,28,32,33],navier:12,nb:25,nb_:22,nbconvert:28,nbviewer:9,nd:14,ndarrai:[2,6],ndim:[],ne:[9,10,22,25,29],nearest:[1,3,6,11],nearli:[13,32,33],neat:28,neatli:33,neccesari:[6,31],necess:2,necessari:[0,1,3,4,8,14,28],necessarili:[0,4,11,25,28],necesserali:[5,30,31],neck:[7,32],need:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,22,25,29,30,31,32,33],neg:[0,1,3,5,6,7,10,13,22,25,28,30,31,32,33],neg_mean_squared_error:[6,31,32],neglect:25,neglig:25,neighbor:[3,6,11],neither:[4,13,33],neq:[13,14,25,32,33],nervou:12,nest:[2,9,12],nesterov:[13,33],net:[2,4,12],netlib:[22,28],network:[0,9,13,21,27,29,33],neural:[0,13,21,27,29,32,33],neural_network:[0,1,2,28],neuralnetwork:1,neuron:[1,2,3,4,12],neutral:[0,28],neutron:[0,28],never:[1,4,6,9,25,31],new_box:2,new_chang:[13,33],new_hobbit:28,new_root:[],new_trac:[],newaxi:[0,3,6,9,31,32],newli:[0,28],newton:[1,7,8,13,25],next:[0,1,2,3,4,5,6,7,8,9,13,14,28,29,30,32,33],next_guess:[13,33],next_input:4,ng:1,ngini:9,ni:14,nice:[0,1,5,11,28,29,30,31],niter:[13,32,33],nitric:0,nlambda:[0,5,6,30,31,32],nlp:27,nm:25,nm_n:[0,28],nmse:[6,31],nn:[2,5,6,12,22,30,31],nn_model:1,nnmin:2,node:[1,2,3,9,10,12],node_constructor:[],nois:[0,4,5,6,8,9,10,13,15,16,19,23,28,29,30,31,32,33],noise_dimens:4,noisi:[1,6,19,23,31],non:[0,1,3,5,6,7,9,10,11,12,13,14,22,25,28,29,30,31,32,33],none:[0,1,2,4,5,9,10,13,25,28,29,30,31,32],nonlinear:[3,6,8,9,11,12,31],nonneg:[6,9,13,31,32,33],nonparametr:6,nonsens:25,nonsingular:22,nonumb:[3,7,8,13,22,32,33],nor:[1,4,13,33],norm:[0,1,5,6,8,11,13,17,28,29,30,31,32,33],normal:[3,4,5,6,7,8,9,10,11,12,13,15,16,18,19,21,22,23,25,28,29,30,32,33],normali:[22,28],norwai:[6,23,28,31],notat:[0,2,5,6,13,14,25,28,29,30,31,33],note:[0,1,2,3,4,5,6,7,8,11,12,13,14,15,16,21,22,25,27,28,31,32,33],notebook:[0,1,3,9,15,21,23,28],notesseptember16:32,notfounderror:[3,4,14],noth:[1,2,5,8,12,14,25,29,30],notic:[4,5,12,13,22,25,28,30,33],notimplementederror:2,notion:3,novel:[3,6,10,32],novemb:[1,24,26,28],now:[0,2,4,5,6,7,8,10,11,12,14,15,16,17,21,22,23,25,28,29,32],nowadai:[0,1,3,9,21,28],nox:0,np:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,22,23,25,28,29,30,31,32,33],npr:2,nsampl:[6,9,31,32],nt:2,ntrained_model:[6,30],nu:25,nuclear:[5,29],nuclei:[0,25,28],nucleon:[0,28],nucleu:[0,28],num:4,num_coordin:2,num_hidden_neuron:2,num_it:2,num_neuron:2,num_neurons_hidden:2,num_point:2,num_tre:10,num_valu:2,number:[1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,22,23,24,26,28,30,31,32],numberid:[7,32],numberparamet:3,numer:[0,5,6,9,10,11,12,13,17,21,22,27,28,29,30,31,32,33],numpi:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,21,23,25,29,30,31,32],numpy_box:[],numpy_vjp:2,numpy_wrapp:[],nunmpi:[5,29],nvalu:9,nx:2,nx_test:[6,30],nx_train:[6,30],nx_train_mean:[6,30],ny:25,ny_pr:[6,30],ny_train:[6,30],ny_train_mean:[6,30],o:[0,6,7,8,9,11,15,22,26,27,28,32],obei:[6,11,13,29,30,33],obj:2,object:[0,1,2,4,6,8,10,22,28,33],obliqu:[5,29],observ:[0,1,3,5,6,7,8,9,10,11,12,13,14,25,30,31,32,33],obtain:[0,1,5,6,7,8,9,10,12,13,14,17,22,23,25,28,29,30,31,32,33],obviou:[5,6,11,25,29],obviouli:28,obvious:[0,4,5,6,22,28,30,31],oc:29,occupi:0,occur:[0,6,8,9,22,25,28],octob:[24,26,28],od:0,odd:[0,3,7,28,29,32],odenum:2,odesi:2,odin:28,oen:0,off:[1,3,4,5,9,13,19,25,30,31,33],offer:[6,11,21,22,24,26,28,31],offic:[26,28],offici:[24,28],often:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,16,21,22,23,25,28,29,31,32,33],ofter:[22,28],ol:[0,13,15,16,17,18,28,29],old:[1,5,10,13,30,31,32,33],ols_sk:6,ols_svd:6,olsbeta:[0,5,30],omega:[2,3,6],omega_0:3,omit:[0,5,28,29,30,31],omlmp_kkie0:32,onc:[1,6,9,11,13,31,32,33],one:[0,1,3,4,5,6,7,8,9,10,11,13,14,19,21,22,23,25,26,28,29,30,31],onehot:1,onehot_vector:1,onehotencod:9,ones:[0,2,5,6,8,9,10,11,13,22,23,28,29,30,31,32,33],ones_lik:4,ong:29,onl:3,onli:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,19,22,23,25,28,29,30,31,32,33],onlin:[11,24],onto:[5,11,29],open:[0,1,4,6,7,9,15,21,23,24,26,28,31,32],oper:[0,1,3,5,6,10,11,12,13,15,21,25,28,29,30,31,33],operation:25,oplu:25,opmiz:[13,33],opportun:0,oppos:[6,13,33],opposit:[1,5,8,29],opt:[1,5,28,30],optim:[0,2,3,4,5,6,7,9,10,11,14,15,16,17,18,19,23,30,31],optimis:[1,3],option:[0,1,3,5,6,8,9,11,22,23,29,30,31],optmiz:[1,8,13,29,33],oral:28,orang:0,order:[0,1,2,3,5,6,7,8,9,10,11,12,15,16,22,23,25,28,29,30,31,32],ordinari:[0,2,3,7,11,13,15,16,17,19,21,31,32,33],oreilli:[27,28],org:[0,3,4,9,11,21,22,23,27,28,30,33],organ:[6,7,10,22,31,32],orient:[1,5,25,29,30],origin:[0,3,5,6,8,11,12,13,22,28,29,31,33],orthogn:[5,29],orthogon:[0,5,6,8,11,13,17,22,28,29,30,33],orthonorm:[5,29,30],os:[0,1,4,5,6,7,8,9,26,28,29,30,31,32],oscar:1,oscil:[3,13,33],oserror:[0,3,4,7,14,32],oslo:[0,15,21,23,24,26,28,29,30,31,32,33],osx:[0,15,21,23,28],other:[0,1,2,3,5,6,7,8,10,13,14,15,19,21,24,25,26,27,30,31,33],otherwis:[0,1,4,7,13,22,28,32,33],ouput:[5,7,12,30,31,32],our:[1,2,3,6,7,8,9,10,12,14,15,16,17,18,19,21,22,23,25,30,31],ourmodel:0,ourselv:[0,5,6,8,11,13,28,29,30,31,32,33],out1:[],out2:[],out:[0,1,2,4,5,6,7,8,9,10,11,12,13,16,21,22,23,25,28,29,30,31,32,33],out_fil:9,outcom:[0,7,9,10,12,25,29,32],outdoor:9,outer:[6,12,13],outfil:4,outgrad:2,outlier:[0,8,28,29],outlin:[6,10,11,31],outlook:9,outperform:10,output:[0,1,3,4,5,6,7,8,9,10,12,13,16,22,23,25,28,29,30,31,32,33],output_bia:1,output_bias_gradi:1,output_shap:4,output_weight:1,output_weights_gradi:1,outputlayer1:12,outputlayer2:12,outsid:4,over1:[13,33],over:[0,1,3,4,5,6,9,10,12,13,22,23,28,29,30,31,32,33],overal:[1,10],overcast:9,overcom:[12,13,33],overdetermin:[0,28],overfit:[0,1,3,6,9,10,13,31,33],overflow:[1,5,30,31],overhead:12,overlap:[3,7,8,9,32],overlin:[0,5,6,9,10,11,14,22,28,29,30],overst:0,overtrain:4,overview:[3,32],own:[4,5,6,8,12,13,21,22,23,30,33],owner:0,ownmsepredict:0,ownmsetrain:0,ownridgebeta:[0,6,30],ownypredictridg:0,ownytilderidg:0,oxid:0,p0:2,p1:2,p:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,17,22,25,28,29,30,31,32,33],p_:[2,4,8,9],p_hidden:2,p_i:[5,25,30,31],p_j:25,p_n:25,p_output:2,p_x:25,pack:[0,28],packag:[0,1,2,3,4,5,6,7,8,9,11,13,14,15,21,23,25,29,30,32,33],packtpub:28,packtpublish:28,pad:[3,4],page:[0,9,21,28,30,31,32,33],pai:[0,1,9,13,33],pair:[0,2,3,9,21,25,28],panda:[0,4,5,6,7,9,11,15,21,23,30,31,32],panel:28,paper:1,paradigm:[0,28],parallel:[10,13,21,22,28,33],param:2,param_distribut:32,param_grid:32,paramat:2,paramet:[0,1,2,3,4,5,6,7,8,9,10,12,13,16,17,18,19,23,25,30,31],parameter:[0,6,10,23,28,29],parametr:[0,6,15,16,28,29,31],paramt:[3,5,30,31],parent:2,parent_argnum:[],part:[0,1,3,5,6,10,17,18,22,24,25,26,28,30,31],partial:[0,1,5,6,7,8,10,11,12,13,16,25,28,29,30,32,33],particip:[21,24,26,28],particl:[0,4,13,25,28,33],particular:[0,1,2,3,5,6,9,10,11,12,13,16,23,25,27,28,29,30,31,32,33],particularli:[5,6,8,11,13,25,29,31,32,33],partit:[1,4,9],partli:[6,28,31],pass:[2,3,12,14,32],passkwarg:2,password:23,past:[10,25],patch:[6,25,31],path:[0,3,4,6,7,9,14,15,21,28,29,31,32],patient:[7,32],patter:4,pattern:[0,3,4,12,24,27,28],pauli:[0,28],pc:[11,21],pca:[0,7,21,28,29,32],pd:[0,4,5,6,7,9,11,28,29,30,31,32],pde:2,pdf:[0,3,4,5,6,9,16,20,23,27,28,30,31,32],pedagog:[0,28,29],penal:[6,29,30],penalti:[6,13,23,29,30,32,33],penros:[5,6,30],pentagon:[13,32,33],peopl:[0,1,9,13,21,33],per:[0,1,6,24,26,28,31],percentag:[0,10,11,26],perceptron:[0,1,7,28,32],peregrin:28,perfect:[0,1,13,28,33],perfectli:[4,6,31],perform:[0,2,3,4,5,6,8,10,11,12,13,14,15,16,17,19,21,22,23,25,28,29,30,31,32,33],performac:4,perhap:[0,5,13,28,29,30,32,33],perimet:[1,9],period:[1,4,25],permut:11,persist:[13,33],person:[5,6,7,24,26,28,29,30,31,32],perspect:27,pertin:[12,28],petal:[8,9],peter:[27,29],phantom:25,phase:[6,12],phenomena:25,phi:8,phi_k:8,philosophi:[13,33],phone:[26,28],photo:4,phrase:[0,28],physic:[0,1,4,7,12,13,25,26,27,28,29,30,31,32,33],pi:[2,3,5,6,7,9,12,13,25,30,31,32,33],pick:[1,9,10,11,13,14,33],pickl:1,pictur:[0,28],pie:[21,28],piec:[11,14],pillow:[0,15,21,23,28],pinv:[5,6,13,29,30,33],pip3:[0,1,15,23,28],pip:[0,1,15,21,23,28],pipelin:[0,6,8,10,29,31],pippin:28,pit:4,pitfal:[6,29,30],pitt:12,pixel:[1,3,4],pixel_height:[1,3],pixel_width:[1,3],place:[0,4,6,8,13,22,23,28,31,32,33],plai:[0,3,4,5,6,8,11,21,28,29,30,31,32],plain:[8,10,12,13,14,32,33],plan:[6,9,26,27,28],plane:[8,9],plateau:[5,30],platform:[21,28],plausibl:12,pleas:[9,11,13,23,26,28,33],plenti:1,plethora:[3,12],plot:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,21,22,23,25,28,29,30,33],plot_all_sc:[23,30],plot_confusion_matrix:[7,10,32],plot_count:6,plot_cumulative_gain:[7,10,32],plot_data:1,plot_dataset:8,plot_decision_boundari:[9,10],plot_import:10,plot_max:4,plot_min:4,plot_model:4,plot_numb:4,plot_predict:8,plot_regression_predict:9,plot_result:4,plot_roc:[7,10,32],plot_surfac:[2,6,13,23,33],plot_train:9,plot_tre:[9,10],plt:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,22,23,25,28,29,30,31,32,33],plu:[0,3,5,7,28,29,30,32],pluggabl:[3,4,14],plugin:[3,4,14],pm:[8,31],pmatrix:2,pml:27,pn:3,png:[0,4,6,7,9,28,29,31,32],point:[0,1,2,3,5,6,7,8,9,10,11,13,14,15,16,17,19,22,23,25,26,28,29,31,32,33],point_1:4,point_2:4,poisson:[21,25,28],poli:[6,8,31,32],poly100_kernel_svm_clf:8,poly3:0,poly3_plot:0,poly3dcollect:33,poly_featur:[8,9],poly_features10:9,poly_fit10:9,poly_fit:9,poly_kernel_svm_clf:8,polydegre:[0,5,6,10,29,30,31],polygon:[13,32,33],polym:12,polymi:23,polynomi:[0,5,6,7,8,9,10,11,15,16,17,19,23,28,29,31,32],polynomial_featur:[6,31],polynomial_svm_clf:8,polynomialfeatur:[0,6,8,9,29,31,32],polytrop:[0,6,28,31],pool:3,pool_siz:3,poor:[1,13,32,33],poorli:[0,29],pop:2,popul:[0,5,28,29,30,31],popular:[0,1,3,6,7,8,9,11,12,15,21,22,23,25,29,32],popularli:[0,28],portabl:10,portion:[11,13,33],pose:[0,4,5,6,11,25,28,31],posit:[0,1,2,3,5,7,8,10,11,13,14,22,25,28,29,30,31,32,33],possibl:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,15,19,21,22,23,25,26,28,29,30,31,32,33],posterior:[5,30,31],postpon:[0,28,29],postscript:23,postul:[5,30,31],potenti:[0,3,5,6,12,13,28,29,30,31,33],pott:12,power:[0,1,5,6,8,9,12,13,28,29,31,33],pp:[5,6,18,30,31,32],practic:[0,5,6,7,8,23,25,29,30,31,32],practition:[0,1,3,28],pre:28,preced:[1,11,12,25],preceed:4,preceq:8,precis:[0,2,5,11,13,22,23,25,28,29,30,31,33],pred:[6,31,33],predicit:0,predict:[0,1,5,6,7,8,9,10,15,16,21,23,27,28,29,30,31,32],predict_prob:1,predict_proba:[7,10,32],predictor:[0,5,6,7,9,10,11,28,29,30],prefer:[0,1,6,8,9,11,13,15,21,23,28],prepar:[0,6,22,23,28,29],preprocess:[0,4,6,7,8,9,10,11,23,30,31,32],prerequisit:0,prescript:23,presenc:[13,33],present:[0,5,6,7,9,12,13,22,23,25,28,29,30,33],preserv:[3,11,22],press:[13,27,32,33],pretrain:[1,4],pretti:[0,4,8,9,15,21,23,28],prev_centroid:14,prevent:[13,25,33],previou:[0,1,2,3,4,5,6,8,10,11,12,13,22,23,25,29,32,33],previous:[2,3,9,10,25],price:[0,4,9,13,33],primal:8,primari:[0,7,28,32],prime:25,primit:2,princip:[0,5,7,21,28,29,32],principl:[0,6,7,8,14,28,31,32],print:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,22,25,28,29,30,31,32,33],print_funct:[8,9],printout:[0,28],prior:[0,5,6,28,30,31],privat:0,prob:[1,25],probabilist:[0,27,28,29],probabl:[0,1,3,4,6,7,10,13,21,28,29,32,33],problem:[0,3,4,5,6,7,8,9,10,11,12,16,17,21,22,23,25,31],probml:27,proce:[0,5,6,7,8,9,10,11,13,22,28,29,30,31,33],procedur:[2,4,5,6,8,10,11,13,23,29,30,31,32,33],proceed:22,process:[0,2,4,6,9,10,12,13,15,21,22,23,25,27,28,31,32,33],prod:27,prod_:[1,5,7,30,31,32],produc:[0,3,4,5,6,9,10,11,12,13,21,22,23,25,28,29,30,31,33],product:[0,1,3,5,6,7,8,12,13,16,21,22,28,29,30,31,32],profess:[0,28],program:[0,1,4,5,6,8,12,14,15,16,21,22,24,25,26,28,29],programm:22,progress:[1,4,14,33],prohibit:[6,31],project1:[6,23],project:[0,1,2,3,5,11,13,17,18,19,20,21,24,26,29,30,31,33],project_root_dir:[0,6,7,9,28,29,31,32],projectwrit:23,promin:12,promis:8,promot:[26,28],prone:9,pronounc:[13,21,28,33],proof:[0,11,12,13,28,31,32,33],propag:[2,3,13,33],proper:[0,2,6,7,23,31],properli:[1,6,8,10,13,23,33],properti:[0,1,3,12,13,16,17,22,28,31,33],proport:[0,1,5,9,11,13,16,25,28,29,33],propos:[1,4,6,10,23,28],propto:[5,13,30,31,32,33],proton:[0,28],prove:[3,13,32,33],provid:[0,1,3,4,5,6,8,9,10,12,13,15,21,22,23,25,28,29,30,31,32,33],proxi:[1,13,33],prune:9,pseudo:[22,25,33],pseudocod:23,pseudoinv:[5,30],pseudoinvers:[5,6,30],pseudorandom:[6,25,31],psycholog:[0,28],pt:[13,33],punish:[0,1,28],pure:[3,9,25],purest:9,puriti:9,purpos:[0,3,10,12,14,28],put:1,py:[0,1,2,3,4,5,6,7,8,9,11,14,28,30,31,32],py_tf:[3,4,14],pycod:28,pydata:21,pydot:9,pyhton2:28,pylab:[0,7,28,32],pypi:21,pyplot:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,22,23,25,28,29,30,31,32,33],pythagora:[5,30,31],python2:[0,15,23,28],python3:[0,2,3,4,6,7,8,9,11,14,15,21,23,28,30,32],python:[1,2,3,4,5,6,8,11,12,13,14,16,23,25,29,30,33],pytorch:[0,21,23,28],q:[5,6,8,11,25,29,31],qp:8,qquad:[2,11,13,22,33],qr:[5,6,22,29],quad:[1,13,22,33],quadrat:[0,8,9,13,15,16,28,33],qualit:[4,9,23,25],qualiti:[0,9,15,16,21,28,29],quantifi:1,quantil:10,quantit:[0,6,9,23,28,31],quantiti:[0,2,5,6,7,9,10,11,12,14,16,22,25,28,29,30,31,32],quantum:[4,12,27,28],quartil:[0,29],quench:5,queri:9,question:[0,5,6,9,11,12,13,23,26,28,29,30,31,33],qugan:4,quick:[4,25],quickli:[1,3,9,11,13,32,33],quit:[1,5,6,9,10,12,29,31],quot:4,r2:[0,5,6,28,29,30,32],r2_score:[0,28],r2score:[0,28],r:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,21,22,23,25,29,30,31,32,33],r_1:9,r_2:9,r_j:9,r_m:9,rad:0,radial:[0,8,12],radioact:25,radiu:[0,1,9,29],rag:2,rain:9,rais:[0,2,3,4,7,14,30,32],ramp:1,ran0:25,ran1:25,ran2:25,ran3:25,rand:[0,4,5,6,9,10,13,15,16,22,28,29,30,31,32,33],randint:[6,9,13,31,33],randn:[0,1,2,5,6,9,11,13,15,16,28,29,30,31,32,33],random:[0,1,2,3,4,5,6,8,9,13,14,15,16,21,22,23,28,29,30,31,33],random_forest_model:10,random_index:[13,33],random_indic:[1,3],random_st:[0,7,8,9,10,11,32],randomforestclassifi:10,randomizedsearchcv:32,randomli:[1,6,9,13,14,31,32,33],randuniform:32,rang:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,22,25,28,29,30,31,32,33],rangl:[0,6,11,25,28,29],rangle_x:25,rank:[5,29],rankdir:4,raphson:[1,8,13],rapidli:0,rare:[1,13,28,32,33],raschka:[28,29,30,31,32,33],rasckha:28,rate:[0,1,2,3,4,8,9,10,12,13,32],rather:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,22,25,28,29,30,31,32,33],ratio:[4,7,9,10,11,32],rational:[0,28],ravel:[5,6,7,8,9,10,11,13,22,29,31,32,33],raw:3,rbf:[8,11,12],rbf_kernel_svm_clf:8,rbf_pca:11,rc:[0,25],rc_temp:[0,7,32],rcond:[0,28,29],rcparam:[0,1,3,7,8,9,10,25,28,32],re:[2,4,13,32,33],reach:[1,4,5,6,9,10,11,12,13,14,30,31,32,33],read:[0,2,3,4,5,6,7,8,11,12,16,22,23,24,25,27,30,33],read_csv:[0,6,7,9,28,31,32],read_fwf:[0,28],reader:[0,6,22,25,28,29,30],readi:[0,1,5,6,8,10,11,12,22,23,28,30,31],readili:1,readthedoc:21,real:[0,1,2,4,7,10,11,12,22,29,31,32],real_loss:4,real_output:4,realist:8,realiti:25,realiz:[1,12],realli:[0,1,28],rearrang:[13,33],reason:[0,1,3,4,10,13,27,28,32,33],reassign:1,recal:[5,6,9,10,11,12,22,25,28,29,30,31,32,33],recast:3,receiv:[1,3,10,12,25],recent:[0,1,2,3,4,6,7,10,13,14,23,27,28,30,31,32,33],recept:[3,12],receptive_field:3,recip:[0,6,7,22,23,28,29,32],reciproc:[5,30],recogn:[0,4,5,10,28,30,31],recognit:[0,1,3,12,24,27,28],recommen:28,recommend:[0,2,3,4,5,6,8,13,15,18,21,22,23,27,30,31],reconsid:9,reconstruct:11,record:[10,23,24,26,28,33],rectangl:[9,13,32,33],rectangular:[5,29],rectifi:[1,3,12],recur:[0,21,28],recurr:[0,1,21,28],recurs:[9,21,22,28],red:[0,3,4,6,8,9,31,33],redefin:[0,10,28,29],redefinit:30,reduc:[1,2,3,5,6,9,10,11,13,28,30,31,32,33],reduct:[0,2,10,11,21,25,28,29],refer:[0,1,2,3,5,6,9,11,12,13,14,20,22,27,28,29,31,32,33],referenc:2,refin:12,refit:[6,31],reflect:[0,1,4,5,23,25,28],refresh:[21,28],refreshprogrammingskil:28,reg:[10,11],regard:[1,9,13,33],regardless:12,region:[3,4,6,9,12,23],regist:[6,23,25],reglasso:[5,30],regr_1:[0,9],regr_2:[0,9],regr_3:[0,9],regress:[1,8,11,12,15,16,21,22],regressor:[0,7,10,28,32],regridg:[0,5,6,30,32],regular:[0,3,4,5,6,7,9,13,17,26,28,29,30,31,33],regularis:6,reilli:[0,15,27,28],reinforc:[0,8,21,28],reiter:1,reject:7,rel:[0,4,6,7,9,12,13,25,28,29,31,32,33],relat:[0,1,3,4,5,11,13,14,22,25,28,30,31,33],relationship:[0,4,9,28],relativeerror:[0,28,29],releas:[1,21,28],relev:[0,1,5,7,11,15,21,23,25,28,30],reli:[0,6,8],reliabilti:23,reliabl:[7,25,32],relu:[3,4,28],remain:[1,2,4,6,12,22,25,29,30,31,32],remaind:25,reman:2,remark:1,rememb:[0,8,13,22,23,28,33],remind:[0,5,11,13,22,25,29,30,31],remov:[0,4,5,6,29,30],render:[0,9,28,29],reorder:[5,7,29,30,32],reorgan:[0,28],repeat:[0,1,3,4,5,6,9,10,11,13,14,22,23,25,28,30,31,32,33],repeated:28,repeatedli:[0,6,10,13,31,33],repet:3,repetit:[6,28,29,31,32,33],rephras:[13,32,33],replac:[0,1,3,4,5,6,10,12,14,15,16,21,23,28,29,30,31,32],replica:[6,31],repo:23,report:[20,28,33],reportexampl:[20,23],reportsampl:20,repositori:[0,4,23,28],repres:[0,1,2,3,4,5,6,7,8,9,10,12,13,25,28,29,30,31,32,33],represent:[0,1,3,6,9,25,28,31,32],representd:3,reproduc:[0,5,6,9,12,15,16,21,23,25,28,29],repuls:[0,28],request:[0,13,33],requir:[0,1,3,4,5,6,8,9,11,12,13,17,22,28,29,30,31,32,33],rerun:9,res1:2,res2:2,res3:2,res_analyt:2,res_analytical1:2,res_analytical2:2,res_analytical3:2,resaml:[6,23],resampl:[0,7,10,19,21,28,29,32,33],rescal:[0,11,12,29],rescu:[5,30,31],reseach:[6,23],research:[0,4,13,21,27,28,33],resembl:[6,25,31],reserv:[1,5,6,25,30,31],reshap:[0,1,2,3,4,6,8,9,10,15,16,22,28,29,31],residenti:0,residu:[0,5,13,28,33],resiz:[5,29],resourc:28,respect:[0,1,2,3,5,6,7,8,10,11,12,13,14,16,17,23,25,28,29,30,31,32,33],respond:12,respons:[0,7,9,12,28,29,32],rest:[0,5,29],restat:[0,12,28],restor:4,restored_discrimin:4,restored_gener:4,restrict:[0,3,9,12,28],result:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,21,22,23,25,28,31,32,33],retail:0,retain:[5,6,29,31,32],rethink:31,retriev:28,return_data:14,return_sequ:4,return_x_i:9,reus:[1,3,6,18,19,20,23],reveal:[0,12,28],revers:[1,22],review:[21,22],revisit:14,revolut:28,reward:[0,4,28],rewrit:[0,3,5,6,7,8,10,11,12,13,19,22,23,25,30,32,33],rewritten:[2,6,8,10,25,31],rewrot:[13,32,33],rf:10,rgb:3,rgoj5yh7evk:21,rh:[6,31],rho:[0,10,13,28,33],rho_1:10,rho_2:10,rho_m:10,rich:[0,28],ride:9,rideclass:9,ridedata:9,ridg:[7,11,13,21,28],ridge_sk:6,ridgebeta:[5,30],ridgecv:32,right:[0,1,2,3,5,6,7,8,9,10,12,13,14,16,17,19,22,23,25,28,29,30,31,32,33],right_sid:2,rightarrow:[0,1,5,6,8,11,12,13,25,28,29,31,32,33],rigor:[0,28],ring:6,rise:[0,28],risk:[0,13,15,16,28,32,33],rival:4,river:0,rlm:28,rm:[0,25],rmse:0,rmsporp:[13,33],rmsprop:[1,3,4,13],rnd_clf:10,rng:25,rnn1:4,rnn2:4,rnn:[4,12],rnn_2layer:4,rnn_input:4,rnn_output:4,rnn_train:4,rntrick1:25,rntrick2:25,rntrick3:25,rntrick4:25,ro:[0,13,28,32,33],robert:[18,23,27],robust:[0,28],robustscal:[0,29],roc:[7,10],role:[0,2,5,6,8,21,28,29,30,31,32],roll:6,room:[0,26,28],root:[0,5,9,13,25,29,30,32,33],rot:28,rotat:[1,8,9,10],rotation_matrix:9,roughli:[1,3],round:[0,7,9,13,32,33],routin:[13,22,28,32,33],row:[0,1,2,5,6,9,11,22,28,29,30,31],row_stack:[],rr:[5,29],rrr:[5,29],rug:[13,32,33],rule:[0,1,5,6,13,23,28,29,30,31,33],run:[0,1,2,4,5,6,8,9,11,13,15,21,23,28,29,30,31,32,33],runtim:[1,6,14],runtimewarn:[1,6,31],rust:[0,15,21,22,28],rvert:1,rvert_2:1,s:[0,1,2,3,4,5,6,7,9,11,12,13,16,17,18,21,22,23,25,28,29,30],s_1:6,s_:[3,6],s_i:[6,7,32],s_j:6,s_k:6,saddl:[13,32,33],sai:[0,1,2,3,4,5,6,7,8,9,10,11,12,22,23,25,28,29,30,31,32],said:[6,9,13,32,33],sake:[0,5,7,11,28,29,30,32],sale:[0,28],sam:28,same:[0,1,2,3,4,5,6,8,9,11,12,14,17,22,23,25,28,29,30,32],samm:10,sampl:[0,1,2,3,4,5,6,7,8,9,10,13,14,15,16,19,21,22,23,25,28,29,30,31,32,33],sample_vari:14,sampleexptvari:25,samwis:28,sastri:11,satisfactori:[0,28],satisfi:[1,2,3,6,8,13,22,25,31,32,33],satur:[1,6,31],save:[0,4,6,7,9,13,28,29,31,32,33],save_fig:[0,6,7,9,10,28,29,31,32],savefig:[0,4,6,7,9,25,28,29,31,32],savetxt:4,saw:[5,29],scalabl:10,scalar:[2,5,6,10,29,30,31],scale:[0,1,3,5,6,7,8,9,10,11,12,13,15,16,17,21,22,23,26,28,30,32,33],scale_mean:4,scale_std:4,scaler:[0,7,8,9,10,11,23,29,30],scan:[5,7,30,31,32],scari:[5,30,31],scatter:[0,1,6,7,8,9,14,28,29,30,31,32],scenario:[6,13,32,33],schedul:[13,26,33],scheme:[1,13,32,33],schrage:25,scienc:[0,1,10,12,13,21,24,25,26,27,32,33],scientif:[0,15,21,23,28,33],scientist:[0,28],scikit:[3,5,6,8,9,10,13,21,22,23,24,27],scikit_learn:[0,16],scikitlearn:28,scikitplot:[7,10,32],scipi:[0,3,5,6,13,15,21,22,23,28,29,30,31,32,33],scl:6,score:[0,1,3,6,7,9,10,11,15,16,23,26,28,29,31,32,33],scores_kfold:[6,31,32],scratch:[1,13],sdg:[13,33],seaborn:[0,1,3,6,7,28,32],seamless:[0,15,21,23,28],search:[0,1,3,5,9,13,28,30,33],sebastian:28,sebastianraschka:28,sec:6,second:[0,2,3,4,5,6,7,8,9,11,12,14,15,16,21,22,23,25,26,28,29,31,32],second_mo:33,second_term:33,secondeigvector:11,secondli:12,section:[4,11,16,17,22,23,25,29,30,32,33],sector:0,see:[0,1,2,3,4,5,6,7,8,10,11,12,13,15,16,17,18,21,22,23,25,28,29,30,31,32,33],seed:[0,1,2,3,4,5,6,8,9,11,13,14,15,16,23,25,28,29,30,31,32,33],seed_imag:4,seek:[1,2,8],seem:[1,3,4,33],seemingli:[0,28],seen:[0,1,3,5,10,12,17,25,28],segment:[13,32,33],seismic:6,seldomli:[0,28],select:[1,5,6,8,9,10,11,17,23,24,25,26,27,28,29,30,31],self:[0,1,5,7,28,29,30,32],sell:4,semest:[7,24,32],semi:[8,13,32,33],semilogx:6,send:[5,12,13,26,28,33],senior:[24,26],sens:[0,4,6,8,23,28,31],sensibl:3,sensit:[0,5,6,9,13,28,29,30,31],sent:2,sentenc:[4,12],separ:[0,1,2,4,6,8,9,12,14,15,21,23,25,28,31],septemb:[17,18,19,20,23,28],sequenc:[2,3,4,7,9,10,12,13,21,22,25,28,32,33],sequenti:[1,3,4,10,12,25],seri:[0,1,2,3,4,5,6,10,11,12,13,22,28,29,30,31,32,33],serif:[0,7,25,28,32],serv:[0,1,2,3,5,7,13,23,27,28,29,30,31,32,33],servic:23,session:[1,20,23,24,26,28],set:[1,4,5,6,7,8,10,11,13,14,16,17,21,22,23,25,26,30,31,33],set_major_formatt:[6,23],set_major_loc:[6,23],set_tick:[1,6,8],set_ticklabel:[1,6],set_titl:[0,1,2,3,7,12,14,28,32],set_xlabel:[0,1,2,3,7,12,28,32],set_xlim:[7,12,32],set_xticklabel:1,set_ylabel:[0,1,2,3,7,28,32],set_ylim:[7,12,32],set_ytick:[7,32],set_yticklabel:[1,6],set_zlim:[6,23],seth:4,setminu:[6,32],setosa:[8,9],setosa_or_versicolor:8,setp:[6,31],setup:[1,4,6,8,21,28,29],sever:[0,3,5,6,7,8,9,11,12,13,21,22,25,28,29,30,31,32,33],sgd:[1,3,32],sgd_clf:8,sgdclassifi:8,sgdreg:[13,32,33],sgdregressor:[13,32,33],sgn:[5,29,30],shallow:[13,33],shape:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,22,28,29,30,31,32,33],shape_bas:[],share:[1,3,28],she:[7,32],shift:[1,6,12,25,30],ship:3,shire:28,shortcom:[13,32,33],shorten:4,shorter:25,shorthand:[28,31],shortli:[22,28],should:[0,2,3,5,6,8,9,11,12,15,16,22,23,25,28,29,30,31],show:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,22,23,25,28,29,30,31,32,33],show_shap:4,shown:[0,4,5,8,9,11,12,13,22,29,32,33],shrink:[3,5,6,8,11,23,29,30],shrinkag:[5,6,29,30],shrunk:11,shuffl:[0,1,4,6,13,29,31,32,33],side:[0,2,5,8,12,13,22,28,30,31,32,33],sigh:[21,28],sigma0:25,sigma1:25,sigma2:25,sigma:[0,1,5,6,7,10,11,12,13,17,18,19,22,23,25,28,29,30,31,32,33],sigma_0:[5,29,30],sigma_1:[5,29,30],sigma_2:[5,29,30],sigma_:[5,22,28,29,30,31],sigma_fn:[7,12,32],sigma_i:[0,5,28,29,30],sigma_j:[5,17,29,30],sigma_m:[6,25,31],sigma_n:[11,25],sigma_t:[13,33],sigma_x:25,sigmoid:[1,2,4,7,8,10,12,32,33],sigmundson:[6,29,30],sign:[1,2,7,8,10,25,26,32],signal:[1,3,10,12],signifi:4,signific:1,significantli:[1,13,25,32,33],sigurd:28,sim:[4,5,6,13,18,23,25,30,31,33],similar:[0,1,2,3,4,5,6,7,8,9,10,11,14,17,21,22,23,28,30,31,32],similarli:[0,1,3,5,8,10,13,20,25,28,29,30],simpl:[1,2,3,5,6,7,8,10,11,12,14,15,16,17,19,21,22,23,25,31],simplepredict:10,simpler:[0,1,5,6,7,13,16,19,21,23,28,30,33],simplernn:4,simplest:[0,1,3,4,9,10,12,14,28],simpletre:10,simpli:[0,1,2,4,5,6,8,9,10,11,12,15,21,22,23,25,28,29,30,31],simplic:[2,5,6,7,8,9,10,11,12,14,29,30,32],simplicti:[5,29],simplifi:[0,6,9,15,21,23,28,29,30,31],simplist:[3,6,25,31],simul:[6,31],simultan:[6,31],sin:[0,1,2,3,4,9,12,13,22,28,33],sinc:[0,1,2,3,5,6,7,8,9,10,11,13,22,25,27,28,29,30,31,32,33],sine:[3,12],singl:[0,1,2,3,5,6,7,8,9,12,13,22,25,28,29,30,31,32,33],singular:[0,6,13,22,23,28,30,31,32,33],sinusoid:3,site:[0,2,3,4,6,7,8,9,11,14,23,24,28,30,32],situat:[0,4,5,7,13,25,28,29,32,33],six:[3,25],size:[0,1,2,3,4,5,6,8,9,10,11,13,22,23,25,28,30,31,32,33],sketch:10,ski:9,skill:0,skip:11,skl:[0,6,28,29,30],sklearn:[0,1,3,5,6,7,8,9,10,11,13,14,28,29,30,31,32,33],skplt:[7,10,32],sl:[6,30,32],slack:8,slice:[2,22,28],slide:[0,3,15,16,23,25,28,29,31,33],slight:[6,13,31,33],slightli:[1,2,3,5,6,7,10,25,29,30,31,32],slope:[8,11,12],slow:[0,2,8,13,29,32,33],slower:[5,22,28,29,30],slowest:22,slowli:12,slp:1,small:[0,1,2,3,5,6,8,9,10,11,12,13,21,22,23,25,28,29,30,31,32,33],smaller:[0,1,2,5,6,8,9,11,13,25,28,29,30,31,32,33],smallest:[0,4,14,15,16,28,32],smallest_row_index:14,smooth:[0,3,6,9,13,23,28,32,33],sn:[0,1,3,6,7,28,32],sne:11,sneak:28,so:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,19,21,22,23,25,26,28,29,30,31,32,33],soar:6,social:0,soft:[1,7,10,12,32],soften:8,softmax:[3,7,32],softwar:[0,8,15,21,22],sol:8,sole:[0,6,28],solid:[0,7,32],solut:[0,1,2,3,5,6,8,10,11,13,17,18,22,23,25,28,29,30,31,32,33],solution_ev:33,soluton:2,solv:[0,1,3,5,6,8,10,11,12,13,22,23,28,29],solve_expdec:2,solve_ode_deep_neural_network:2,solve_ode_neural_network:2,solve_pde_deep_neural_network:2,solveod:2,solveode_popul:2,solver:[2,7,8,9,10,11,22,28,32],some:[0,1,2,3,4,5,6,7,8,9,10,11,12,14,23,25,28,30,31],some_model:[6,29,30],somehow:4,someth:[0,1,3,4,7,9,11,23,25,28,29,32],sometim:[0,1,11,12,13,14,28,29,33],soon:[22,26,29],sophist:[0,28],sopt:[13,33],sort:[5,6,9,11,25,29,31],sound:[3,5,30,31],sourc:[0,1,3,6,15,21,22,23,25,28,31],space:[0,1,4,5,8,9,11,12,13,14,25,29,30,31,32,33],span:[0,3,5,9,11,22,28,29],spare:1,spars:[3,6,22,28],sparse_mtx:[22,28],sparsecategoricalcrossentropi:3,sparsiti:10,spatial:[1,2,3,12],speak:25,special:[6,7,10,12,13,22,25,28,29,30,32,33],specif:[0,1,2,3,4,5,6,7,8,9,11,12,16,21,22,23,25,27,28,29,30,31,32],specifi:[0,3,5,6,7,9,11,13,14,23,25,28,30,31,32,33],specifici:[0,10,28],spectacular:3,spectral:1,speech:[0,1,3,4,12],speed:[1,2,4,13,33],spend:25,spent:23,sphere:[0,29],spin:6,spite:0,spline:8,split:[1,3,4,5,6,8,9,10,11,14,17,23,25,30,31,32],splite:0,splitter:[1,10],spontan:25,spot:3,spread:[0,11,25,28,29],springer:[18,23,27,28,31],spuriou:[13,33],sqquar:30,sqrsignal:3,sqrt:[0,3,4,5,6,8,10,11,13,17,25,29,30,31,33],squar:[1,2,3,4,7,8,9,11,13,14,15,16,17,19,21,22,25,31,32,33],squarederror:10,squaredeuclidean:14,squash:12,srtm:[6,23],srtm_data_norway_1:[6,23],stabil:[5,23],stabl:[0,4,5,6,9,11,21,23,28,29,30],stack:[3,4],stage:[5,13,23,33],stai:[0,2,4,5,11,17,28,29],stand:[0,5,9,12,28,29,30],standadscal:29,standard:[0,1,4,5,6,7,8,10,12,15,16,17,19,22,23,25,28,30,32],standard_basi:[],standardscal:[0,6,7,8,9,10,11,29,30],stanford:[13,32],start:[0,1,2,3,4,5,6,8,9,10,11,12,13,14,20,22,25,26,28,29,31,32,33],start_box:[],start_nod:[],start_tim:14,stat:[6,31,32],state:[1,2,4,5,6,7,8,10,11,12,13,21,25,29,30,31,32,33],statement:[0,7,22,28,32],stationari:[32,33],statist:[0,1,3,4,7,9,10,11,12,13,14,18,22,23,24,27,29,32,33],statu:[0,7,9,11,28,32],stavang:[6,23],std:[0,4,6,28,29,31],steep:[13,32,33],step:[0,1,2,4,6,7,9,10,11,12,13,14,22,23,28],step_fn:[7,12,32],step_length:[13,33],step_siz:33,steps_list:9,stereo:3,still:[0,2,3,5,6,11,13,17,25,31,32,33],stimuli:12,stk2100:[27,28],stk3155:[15,23,24,26],stk4021:[27,28],stk4051:[27,28],stk4155:[24,26],stk5000:27,stk:[27,28],stochast:[0,1,5,6,8,11,12,15,16,23,28,30,31,32],stock:4,stoke:12,stone:[0,7,23,32],stop:[1,4,9,11,13,14,32],stopiter:[0,7,32],storag:[5,29],store:[0,1,2,3,6,11,13,23,25,28,33],storehaug:[26,28],str:[1,3,4],straight:[0,6,8,13,28,31,32,33],straightforward:[0,2,3,5,6,8,9,10,13,22,28,29,30,31,32,33],strategi:[0,1,9,28],stratifi:[6,31],strength:[0,5,14,29],stretch:11,strict:[8,13,32,33],strictli:[8,13,32,33],stride:[4,22],strike:6,string:1,stroke:[7,32],strong:[3,6,9,10,12,22,25,31],strongli:[0,8,21,22],stronli:0,structur:[0,1,2,3,6,9,10,12,21,28,31,32,33],stuck:[1,13,32,33],student:[0,23,24,26,27,28],studi:[0,3,4,5,6,7,8,11,12,13,17,19,21,23,27,28,29,30,33],studier:27,style:[0,7,9,22,28,32],sub:[9,12],subarg:[],subdivid:[0,22,28],subfield:0,subject:[6,8,25],submit:28,subplot:[0,1,3,4,6,7,8,9,10,14,28,31,32],subplots_adjust:[8,25],subprogram:[22,28],subract:[0,29],subroutin:[0,28],subscript:1,subsequ:[1,4,5,6,12,22,25,29,31],subset:[1,6,9,12,13,21,28,31,32,33],subspac:[0,8,11,29],substanti:[9,10],substep:11,substitut:[3,6,12,22,31],subsubset:9,subtask:6,subtl:1,subtract:[0,4,5,6,11,13,17,22,23,25,30,31,33],subtre:9,subval:[],succeed:[0,4,28],success:[3,7,9,13,25,32,33],successfulli:[4,9],sudo:[0,15,21,23,28],suffer:[0,1,2,5,10,28,29,30],suffici:[1,6,8,11,13,31,32,33],suggest:[1,13,23,27,33],suit:[8,12],suitabl:[0,25,29],sum:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,22,23,25,28,29,30,32,33],sum_:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,22,23,25,28,29,30,31,32,33],sum_i:[0,2,5,6,8,13,17,19,23,29,30,31,33],sum_j:6,sum_ja_:0,sum_k:[6,8,12,22],sum_logist:[13,33],sum_m:3,sum_n:3,sum_nx_:3,summar:[5,6,9,30,31,32,33],summari:[1,3,4,10,24,30],summat:[0,3,16,29],sunni:9,superconduct:30,superfici:3,superscript:[1,12],supervis:[0,5,6,7,9,12,21,28,29,31,32],supplement:[7,23,32],support:[0,1,9,10,11,13,21,28,29,33],suppos:[0,5,6,7,8,10,11,12,13,22,28,29,30,31,32,33],suppress:[5,8,13,30,33],sure:[0,1,4,6,23],surf:[6,23],surfac:[0,6,23,28],surpass:6,surpris:[0,28],surround:[3,21],survei:[0,5,6,28,29,30,31],svc:[8,9,10],svd:[0,6,11,17,28,31],svdinv:[5,30],svm:[8,9,10,11],svm_clf:[8,10],swath:[5,29],sy:[13,32,33],symbol:[1,3,4,5,11,13,14,21,25,28,29,30,33],symmeteri:1,symmetr:[0,5,8,11,12,13,22,28,29,33],symmetri:[6,9],sympi:[0,15,21,23,28],synonim:25,syntax:13,syntaxerror:8,system:[0,1,3,4,6,7,9,10,12,13,15,21,22,23,28,32,33],systemat:[4,6,31],t0:[3,6,13,33],t1:[2,13,33],t2:2,t3:2,t:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,21,22,23,25,26,28,31,32,33],t_0:[2,9,13,33],t_1:[13,33],t_:2,t_b:10,t_i:[1,2,5,12,29],t_j:12,t_k:9,tabl:[9,23,25,26,28],tabul:[0,28],tabular:28,tackl:4,tag:[2,3,4,5,6,7,12,13,14,22,25,29,32,33],taht:[0,28],tail:25,tailor:[2,8,11,28],taiwan:[0,28],take:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,16,21,22,25,28,29,30,31,32,33],taken:[0,1,3,6,10,13,22,28,31,33],tan:3,tangent:[1,4,12,13,32,33],tanh:[1,4,7,8,12,32,33],target:[0,1,2,3,4,5,6,7,8,9,10,11,12,28,29,30,31,32,33],target_iscomplex:2,target_meta:2,target_nam:9,target_ndim:[],target_shap:2,task:[0,1,3,6,9,11,12,14,20,23,28,31],tau:[3,5,25,30,31],taught:28,tax:0,taylor:[2,13,32,33],taylornr:[13,32,33],tba:33,tc:8,td:[1,6,28,31],teach:28,team:1,teaser:0,technic:[0,5,6,13,15,23,28,29,33],techniqu:[0,1,8,10,13,21,25,27,28,29,31,32,33],technolog:[0,1],tell:[0,4,6,10,11,13,25,31,33],temp1:1,temp2:1,temp:1,temperatur:[0,9,28],temporarili:1,ten:[3,17,28],tend:[3,5,6,8,9,10,12,13,14,29,30,31,33],tendenc:[0,28],tension:[6,31],tensor:3,tensordot:[],tensordot_adjoint_0:[],tensordot_adjoint_1:[],tensorflow:[0,2,4,8,14,15,21,22,23,24,27,28,29],term1:[5,6,11,23,29],term2:[5,6,11,23,29],term3:[5,6,11,23,29],term4:[5,6,11,23,29],term:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,23,25,28,29,30,32,33],termin:[0,4,5,9,10,13,15,28,29,33],terrain1:[6,23],terrain:[6,23],test:[3,4,5,6,7,8,9,10,13,17,19,22,23,25,31,32,33],test_acc:3,test_accuraci:[1,3],test_error:6,test_imag:[3,4],test_ind:[6,31,32],test_input:4,test_label:[3,4],test_loss:3,test_pr:1,test_predict:1,test_rnn:4,test_scor:[7,10,32],test_siz:[0,1,3,5,6,10,28,29,30,31,32],test_split:9,tester:30,testerror:[0,6,29,31],testi:4,testpredict:4,testx:4,text:[0,1,2,4,5,8,9,11,13,15,22,25,27,29,31,32,33],textbook:[16,17,23,29,31],textual:9,textur:[1,9],tf:[1,3,4,13,14,32,33],tf_loadlibrari:[3,4,14],th:[0,1,2,5,6,7,9,12,13,14,15,16,22,23,25,28,29,30,31,32,33],than:[0,1,2,3,4,5,6,7,9,10,11,12,13,17,21,25,28,29,30,31],thank:[4,6,29,30],theano:[1,21,28],thei:[0,1,2,3,4,5,6,7,8,9,11,12,13,22,23,25,28,29,30,31,32,33],them:[0,1,3,4,6,8,9,10,11,12,13,22,23,28,29,30,33],theme:[0,28,33],themselv:[0,25,28],thenc:[6,31],theorem:[2,6,7,29,32],theoret:[0,4,10,28],theori:[0,1,3,8,9,12,13,18,21,23,27,28,30,33],thereaft:[0,5,6,11,12,15,16,17,22,23,28,31],therebi:[0,5,7,11,28,29,30,32],therefor:[0,1,2,3,4,6,7,8,11,13,25,28,29,31,32,33],therein:11,thereof:[0,6,13,28,31,33],theta:[1,4,13,25,33],theta_:[1,13,33],theta_i:1,theta_linreg:[13,33],theta_t:[13,33],thi:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,21,22,23,24,25,27,29,30,31,32,33],thing:[0,1,2,4,5,7,9,25,28,30,31,32],think:[0,1,3,4,6,9,12,13,14,25,28,31,32,33],third:[0,3,6,13,26,28,32,33],thirti:[7,32],thorughout:28,those:[0,3,5,6,8,9,10,11,22,23,24,28,29,31],though:[1,2,3,4,13,22,25,33],thought:[6,14,23,25,31],thousand:[0,1,23,29,33],three:[0,1,3,5,6,8,9,12,15,22,23,24,25,26,28,29,30,31,32],threshold:[1,3,9,10,11,12,13,33],through:[0,1,2,3,4,5,6,8,11,12,13,14,21,22,25,28,29,30,31,32,33],throughout:[0,4,5,14,21,22,25,28],thu:[0,1,2,5,6,7,8,10,11,12,13,23,26,28,29,30,31,32,33],thumb:[0,6,23,28,29],thursdai:[26,29],tibshirani:[6,18,23,24,27,28,31],tick:6,tick_param:6,ticker:[6,13,23,25,32,33],tif:[6,23],tight_layout:[1,7,32],tightli:11,tild:[0,5,6,7,11,15,16,17,18,19,23,25,28,29,30,31],till:[0,4,7,8,9,10,12,22,28,29,30,32,33],time:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,21,22,23,25,28,29,30,31,32],timeit:4,timer:4,tini:1,tip:3,titl:[0,1,2,3,4,6,7,8,9,10,13,23,25,28,31,32,33],tmp:[13,33],tn:[2,3,7],to_categor:[1,3,4],to_categorical_numpi:1,to_numer:[0,6,28,31],todai:3,togeth:[0,3,6,8,11,13,21,28,33],toi:[14,33],told:[13,33],toler:[2,6,14],tolist:4,tomographi:12,too:[0,2,4,5,6,9,11,13,15,25,27,28,29,31,32,33],took:[8,28],tool:[0,1,3,6,13,21,29,31,33],toolbox:8,top:[0,3,5,6,9,10,18,21,28,30,31],topic:[0,5,6,7,8,21,23,29,30,32],topograph:23,topolog:[1,3,12],toposort:2,torkjellsdatt:[26,28],toss:[10,25],total:[0,1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,22,25,26,28,29,31,32,33],total_loss:4,totalclustervari:14,totalscatt:14,toward:[1,2,7,12,13,23,32,33],towardsdatasci:33,town:0,tp:[4,7],tpng:9,tpu:[13,21,28,33],tqdm:6,tr:29,trace:2,trace_stack:[],traceback:[0,1,2,3,4,6,7,10,13,14,23,28,30,32,33],tracer:2,track:[3,13,14,22,29,32,33],tract:0,tractabl:[0,28,29],trade:[5,9,19,30,31],tradeoff:[0,5,19,23,28,29,30,32],tradit:[0,1,4,6,28,31],train:[2,3,5,6,8,9,10,11,12,13,17,19,23,30,31,32,33],train_accuraci:[0,1,3,28],train_dataset:4,train_end:[0,1,29],train_error:6,train_imag:[3,4],train_ind:[6,31,32],train_label:[3,4],train_pr:1,train_siz:[0,1,3,29],train_step:4,train_test_split:[0,1,3,5,6,7,9,10,11,28,29,30,31,32],train_test_split_numpi:[0,1,29],trainable_vari:4,trained_model:[6,29,30],trainerror:[0,29],traini:4,training_checkpoint:4,training_dataset:4,training_gradi:[13,33],training_gradient_fun:33,training_loss:33,trainingerror:[6,31],trainpredict:4,trainscor:4,trainx:4,trait:[0,28],trajectori:4,transfer:9,transform:[0,5,6,7,8,9,10,11,12,13,21,22,28,29,30,31,32,33],transit:[6,12],translat:[1,4,6,10,28,29,30],transpos:[1,5,11,22,29,30],travers:[0,5],treat:[0,1,3,6,12,13,25,28,29,30,31,32,33],tree:[0,1,6,21,23,28],tree_clf:[9,10],tree_clf_:9,tree_clf_sr:9,tree_reg1:9,tree_reg2:9,tree_reg:9,trend:25,treue:7,trevor:[18,23,27],tri:[2,3,4,9,13,32,33],triain:0,trial:[0,2,4,6,13,25,28,31,32,33],triangl:[13,32,33],triangular:22,trick:[3,4,8,11,13,25,33],trickier:25,tridiagon:22,trigger:[0,7,32],trillion:21,trivial:[0,1,5,11,25,28,30],troubl:[0,8,12,29],truck:3,true_beta:[6,29,30],true_divid:1,true_fun:[6,31],trust:9,tucker:8,tuesdai:[26,28,31,32,33],tumor:[7,9,32],tumour:[7,32],tunabl:1,tune:[4,9,13,22,28,32,33],tup:[],tupl:2,turn:[0,1,5,6,7,8,9,10,11,12,13,19,22,23,25,28,29,31,32,33],tutori:[1,4],tv:2,tveito:2,tweak:[1,4,10,25],twice:[13,32,33],twist:11,two:[0,1,2,4,5,6,7,9,10,11,12,13,15,16,22,24,25,27,28,30,31,33],tx:[13,32,33],tx_1:[13,32,33],txt:4,ty:[13,32,33],type:[0,1,3,6,8,10,13,16,22,23,25,29,30,31,32,33],typeerror:[2,6,13],typic:[0,1,2,3,4,5,7,9,10,12,13,25,28,29,30,31,32,33],typo:23,u:[0,2,5,6,8,10,11,12,17,22,28,29,30],u_:22,u_i:12,u_m:10,ua:[0,28],ubuntu:[0,15,21,23,28],uci:0,ufunc:2,uio:[23,26,27],un:14,unabl:9,unari:[22,28],unary_f:2,unary_oper:2,unary_to_nari:2,unbalanc:[6,9,31,32],unbias:[0,5,6,28,30,31],unbroadcast:2,unbroadcast_f:2,uncent:[6,30],uncertainti:[0,5,28,30,31],uncertitud:25,unchang:[1,3],uncorrel:[10,25],undefin:[5,29],under:[0,1,5,6,10,13,15,16,21,23,28,29,30,31,32,33],underdetermin:[0,28],underfit:[1,6,31],underflowproblem:[5,30,31],undergo:[5,30,31],undergradu:[24,26],underli:[0,1,9,13,25,28,33],underset:[4,14],understand:[0,1,3,5,6,10,13,14,21,28,29,30,32,33],understood:[8,13,33],undesir:8,undetermin:[5,8,30,31],undo:4,unexpect:[6,13,31],unexpected:25,unfair:[6,29,30],unfortun:[1,8,9,10],unicode_liter:[8,9],uniform:[0,1,5,6,11,13,15,16,23,25,28,29,32,33],uniformli:[13,25,32,33],unifrompdf:25,unimport:[13,32,33],union:[5,6,30,31,32],uniqu:[0,2,6,13,14,22,28,31,32,33],unique_cluster_label:14,unit:[0,1,3,4,5,10,12,25,28,29,30],unitari:[5,6,22,29],unitarili:[22,28],uniti:25,univari:25,univers:[0,1,2,13,15,21,23,24,26,28,29,30,31,32,33],unix:1,unknow:[0,22,28],unknown:[0,1,3,4,5,6,8,10,13,16,22,28,29,30,31,33],unknowwn:12,unlabel:1,unless:[0,3,6,11,13,23,28,31,32,33],unlik:[1,3,8,13,32,33],unnecessarili:9,unord:3,unravel:1,unrol:[3,11],unseen:[0,7,9,32],unstabl:1,unsupervis:[0,1,4,12,21,28],unsymmetr:[22,28],until:[1,2,4,9,12,13,14,32,33],untouch:0,unusu:12,up:[1,3,4,5,6,8,10,11,13,14,16,18,21,22,23,25,26,30,33],updat:[1,2,10,12,13,14,33],uploa:28,upload:[21,23,27],upon:[0,1,6,7,11,22,23],upper:[0,8,9,16,22,29],uppercas:[22,28],upsampl:4,upscal:4,url:[0,7,28,29,32],us:[4,5,6,8,9,10,11,12,14,15,16,17,18,19,22,24,25,27,30,31],usa:28,usag:[0,8,21,28,29],usd10000:0,usd:0,use_bia:4,usecol:[0,28],useless:1,user:[0,1,2,3,4,6,7,8,9,11,14,15,21,22,23,28,29,30,32],usernam:23,userwarn:6,usetex:25,usg:[6,23],usr:25,usual:[0,3,4,7,12,13,14,28,32,33],ut:[5,30],utf:[0,7,32],util:[1,3,4,6,7,10,14,28,31,32],ux:22,v0:25,v1:25,v2:25,v:[2,4,5,6,11,13,17,21,29,30,33],v_0:11,va:1,vahid:28,val:[13,33],val_accuraci:3,val_loss:4,vale:2,valid:[0,1,4,7,9,10,13,21,25,28,29,33],validation_data:3,validation_split:4,valu:[0,1,2,3,4,6,7,8,9,10,12,13,14,15,16,19,21,22,23,28,33],valuat:9,valueerror:[],valy:4,van:[0,18,23,28,29,30,31],vandenbergh:[8,13,32,33],vandermond:[0,28],vanilla:[0,6,11,14,29,30],vanish:[1,4,13,25,32,33],var_x:25,varabl:8,varepsilon:[5,6,18,23,30,31],varepsilon_:[5,6,30,31],varepsilon_i:[5,6,30,31],vari:[0,1,3,5,6,10,15,16,28,31],variabl:[0,1,2,5,6,7,8,10,11,12,13,14,22,28,29,30,31],varianc:[0,1,5,7,9,10,11,13,14,18,19,21,22,25,28,29,32,33],variance_i:[5,11,29],variance_x:[5,11,29],variant:[0,1,6,8,12,13,28,29,32,33],variat:[3,4,11,28],varieti:[0,3,12,15,21,23,28],variou:[1,3,5,6,7,8,9,11,12,13,16,18,21,22,23,25,29,30,33],varydimens:4,vastli:3,vaue:1,vault:0,vdot:[2,13,32,33],ve:23,vec:[6,31],vector:[0,1,2,3,4,5,6,7,9,10,11,13,14,16,17,21,30,31,32,33],vector_mean:14,ventur:[0,8,15,21,28],verbos:[1,3,4],veri:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,23,25,27,28,29,30,31,32,33],verifi:[3,11,22,28],versatil:[8,28],versicolor:[8,9],version:[0,3,10,13,14,15,21,22,23,25,28,33],versu:1,vert:[0,1,5,6,7,8,9,11,13,17,28,29,30,31,32,33],vert_1:[5,6,29,30,31],vert_2:[5,6,11,17,29,30,31],via:[0,5,6,7,8,9,10,11,12,15,19,21,22,23,24,25,26,28,29,30,31,32],vidal:11,video:[0,1,12,21,24,26,28,29,30,31],view:[1,3,5,6,12,13,25,27,28,30,31,33],violat:8,virginica:9,viridi:[0,1,2,3,28],virtual:1,viscos:[13,33],viscou:[13,33],visibledeprecationwarn:2,vision:[0,3],visual:[0,3,11,12,15,21,28,29],visualis:1,viz:[6,8,25],vjp:2,vjp_argnum:2,vjpfun:2,vjpmaker:[],vjpnode:[],vmap:[13,33],vmax:[1,6],vmin:[1,6],voic:3,volum:[0,3,28],vote:10,voting_clf:10,votingclassifi:10,votingsimpl:10,vs:[0,4,6,33],vspace:2,vstack:[5,11,22,25,28,29],vt:[5,29,30],w1:8,w2:[8,11],w3:8,w:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,22,25,28,29,31,32,33],w_1:[8,22],w_1x_1:8,w_1x_:8,w_2:[8,22],w_2x_2:8,w_2x_:8,w_3:22,w_4:22,w_:[1,12],w_hidden:2,w_i:[1,2,10],w_ix_i:12,w_j:22,w_m:22,w_output:2,w_px_:8,w_px_p:8,wa:[0,1,3,4,5,6,7,10,11,12,14,17,22,23,28,29,30,31,32],wai:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,17,22,25,28,29,30,32,33],walk:9,walker:25,wang:[0,28],want:[0,1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,21,23,25,28,29,30,31,32,33],warn:[4,8],warrant:[6,31,32],wast:[3,33],watch:21,wave:3,wavelet:8,we:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,29,30,31,32],weak:[9,10,14],weather:[1,12],web:[21,24,26,28],webpag:28,websit:[6,22,23,24,28],wedg:[8,25],wednesdai:[26,28,31,32,33],wee:11,week:[0,5,6,7,23,24,26],weekli:[16,21,23,26,27,28],weight:[0,1,2,3,6,7,9,10,12,13,23,25,32,33],weigth:2,welcom:[8,21],well:[0,1,2,3,4,5,6,7,8,9,10,12,13,15,16,19,20,21,22,23,25,27,28,29,30,31,32,33],went:8,were:[0,1,3,4,5,6,7,8,10,11,12,14,25,28,29,31,32],wessel:[0,18,23,28,29,30,31],what:[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,19,21,22,23,25,32,33],whatev:3,when:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,22,23,25,28,29,30,31,32],whenev:[13,25,33],where:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,21,22,23,25,26,28,29,30,31,32,33],wherea:[6,25,31],wherefrom:23,wherein:[1,12],whether:[0,3,5,7,9,23,25,28,30,32],which:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,28,29,30,31,32],whichev:[1,3],white:9,whiteboard:[30,31,32,33],who:[0,24],whole:[1,3,4,5,9,11,13,30,31,33],whose:[0,6,10,25,29,31],whow:[11,29],why:[0,1,3,6,13,23,30,32,33],wide:[0,1,3,6,7,12,15,21,22,23,28,31,32],widehat:[6,31],width:[0,3,8,9,28],wieringen:[0,18,23,28,29,30,31],win:10,wind:9,wing:[26,28],winther:2,wiothout:[6,29],wiscons:[7,32],wisconsin:10,wisdom:[6,30],wise:[0,1,5,12,13,29,33],wish:[0,2,5,7,8,11,13,14,22,23,28,29,32,33],with_std:[0,29],wither:6,within:[0,2,3,4,7,9,12,13,14,25,27,28,32,33],withinclust:14,without:[0,1,5,6,8,9,11,12,13,28,29,30,31,33],won:[0,28],wonder:8,word:[0,1,3,4,5,6,7,14,25,28,29,30,31],work:[0,1,4,6,7,8,9,13,15,21,23,24,25,26,28,29,31,32,33],workshop:28,world:[0,8,29],worldwid:[0,28],wors:[0,1,3,4,6,28,31],worst:9,worth:9,worthi:23,would:[0,1,3,5,6,7,8,9,10,11,12,13,22,23,25,28,29,30,31,32,33],wrap:[6,22,28],wrap_util:2,write:[0,1,2,3,5,6,7,8,12,13,15,16,17,20,22,28,29,31,32,33],written:[0,2,3,5,11,12,13,16,21,22,23,25,28,29,30,31,32,33],wrong:[1,8],wrongli:10,wrote:[5,11,29],wrt:[2,10,13,33],wth:[10,13,33],www:[21,22,23,27,28,30],wx_1:8,x0:8,x1:[4,8,9,10,13,33],x1_exampl:8,x1d:8,x2:[8,9,10,13,33],x2d:[8,11],x2d_train:11,x2dsl:11,x3:[8,9],x4:9,x:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,22,23,25,28,31,32,33],x_0:[0,5,11,22,28,29,30,31],x_1:[0,2,5,6,7,8,9,10,11,13,22,25,28,29,30,31,32,33],x_2:[0,2,5,6,7,8,9,10,11,13,22,25,28,29,31,32,33],x_3:[8,22,25],x_4:22,x_:[0,2,3,5,6,8,10,11,13,14,18,22,23,25,28,29,30,31,32,33],x_center:11,x_data:1,x_data_ful:1,x_hidden:2,x_i:[0,1,2,5,6,7,8,9,10,11,12,13,14,17,22,25,28,29,30,31,32,33],x_input:2,x_ix_:[0,28],x_iy_i:8,x_j:[0,2,8,9,12,16,25,29],x_jy_j:8,x_k:[12,14,22,25,29],x_l:25,x_m:[6,12,22,25,31],x_n:[0,2,3,6,8,11,12,13,22,25,28,31,32,33],x_new:[9,10],x_offset:[6,29,30],x_output:2,x_p:[3,7,9,32],x_poli:9,x_poly10:9,x_pred:4,x_prev:2,x_reduc:11,x_scale:8,x_small:[13,33],x_test:[0,1,3,5,6,7,9,10,11,28,29,30,31,32],x_test_own:6,x_test_scal:[0,6,7,9,10,11,29,30],x_tot:4,x_train:[0,1,3,4,5,6,7,9,10,11,28,29,30,31,32],x_train_mean:[6,29,30],x_train_own:6,x_train_scal:[0,6,7,9,10,11,29,30],x_val:1,xarrai:[21,28],xavier:1,xbkjd4ccgq:28,xbnew:[13,32,33],xcode:[0,15,21,23,28],xdclassiffierconfus:10,xdclassiffierroc:10,xg_clf:10,xgb:10,xgbclassifi:10,xgboost:9,xgboot:10,xgbregressor:10,xgparam:10,xgtree:10,xi:[8,13,33],xi_1:8,xi_:8,xi_i:8,xinv:30,xk:8,xla:[13,21,28,33],xlabel:[0,1,2,3,4,5,6,7,8,9,10,13,23,25,28,30,31,32,33],xlim:[6,10,31],xm:9,xmesh:[13,33],xnew:[0,13,28,32,33],xp:25,xpanda:[0,29],xpd:[5,11,29],xplot:0,xs:9,xscale:[0,29],xsr:9,xt_x:[13,32,33],xtest:[6,31,32],xtick:[3,6,8,9,31],xtrain:[6,31,32],xu:[0,28],xx:[0,22,28],xy:[0,6,8,22,23,28],xytext:8,xz:[22,28],y1:4,y2:4,y3:4,y:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,22,23,25,28,29,30,31,32,33],y_0:[0,5,11,22,28,29,30,31],y_1:[0,5,8,9,11,13,22,28,29,30,31,32,33],y_1y_1:8,y_1y_1k:8,y_1y_2:8,y_1y_2k:8,y_1y_n:8,y_1y_nk:8,y_2:[0,5,8,9,11,22,28,29],y_2y_1:8,y_2y_1k:8,y_2y_2:8,y_2y_2k:8,y_3:[0,9,22],y_4:22,y_:[0,1,5,6,10,11,22,28,29,30,31],y_data:[0,1,5,6,28,29,30,32],y_data_ful:1,y_decis:8,y_fit:[0,29],y_i:[0,1,5,6,7,8,9,10,11,12,13,15,16,17,18,19,22,23,28,29,30,31,32,33],y_if_:10,y_ix_:[0,28],y_ix_i:[7,8,13,29,32,33],y_iy_jk:8,y_j:[6,8,12,19,23,31],y_k:12,y_m:22,y_model:[0,4,5,6,28,29,30,32],y_n:[8,13,32,33],y_ny_1:8,y_ny_1k:8,y_ny_2:8,y_ny_2k:8,y_ny_n:8,y_ny_nk:8,y_offset:[6,29,30],y_plot:9,y_pred1:9,y_pred2:9,y_pred:[0,1,4,6,7,8,9,10,29,30,31,32],y_pred_rf:10,y_pred_tre:10,y_proba:[7,10,32],y_scaler:[6,30],y_test:[0,1,3,4,5,6,7,9,10,11,28,29,30,31,32],y_test_onehot:1,y_test_predict:0,y_tot:4,y_train:[0,1,3,4,5,6,7,9,10,11,28,29,30,31,32],y_train_mean:[6,29,30],y_train_onehot:1,y_train_predict:0,y_train_scal:[6,30],y_val:1,ye:[3,6,7,31,32],year:[0,21,28],yet:[0,1,6,8,11,13,28,32,33],yi:[13,33],yield:[0,2,5,6,7,8,10,12,13,14,22,25,28,30,31,32,33],yk:8,ylabel:[0,1,2,3,4,5,6,7,8,9,10,13,23,25,28,30,31,32,33],ylim:[3,6,31],ym:9,ymesh:[13,33],yn:0,yo:[8,9,10],yoshua:[1,27],you:[0,1,2,3,4,5,6,8,9,10,11,13,15,16,17,19,20,21,22,23,25,26,27,28,29,30,31,32,33],young:0,your:[1,2,4,5,6,8,11,13,17,19,20,21,22,23,30,31,32,33],yourself:[11,13,28,33],youtu:32,youtub:21,ypred:[6,31,32],ypredict2:[13,32,33],ypredict:[0,13,28,29,32,33],ypredictlasso:[5,30],ypredictol:[0,5,30],ypredictown:[6,29,30],ypredictownridg:[6,30],ypredictridg:[0,5,6,30,32],ypredictskl:[6,29,30],yridg:28,ys:9,ytest:[6,31,32],ytick:[3,6,8,9,31],ytild:[0,6,28,29,31],ytildelasso:[5,30],ytildenp:[0,28,29],ytildeol:[0,5,30],ytildeownridg:[6,30],ytilderidg:[5,6,30],ytrain:[6,31,32],yuxi:28,yx:[22,28],yy:[22,28],yz:[22,28],z:[0,1,2,3,4,5,6,7,8,9,11,12,13,22,23,25,28,29,31,32,33],z_0:[22,28],z_1:[22,28],z_2:[22,28],z_:[1,2,12,22,28],z_c:1,z_h:1,z_hidden:2,z_i:[1,12],z_j:[1,12],z_k:[12,29],z_m:1,z_mod:9,z_o:1,z_output:2,zaman:25,zaxi:[6,23],zero:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,22,23,25,28,29,30,31,32,33],zeros_lik:4,zeroth:29,zfill:4,zip:[2,4,6],zm_h:[0,28],zn:0,zone:0,zoom:28,zx:[22,28],zy:[22,28],zz:[22,28]},titles:["<span class=\"section-number\">3. </span>Linear Regression","<span class=\"section-number\">14. </span>Building a Feed Forward Neural Network","<span class=\"section-number\">15. </span>Solving Differential Equations  with Deep Learning","<span class=\"section-number\">16. </span>Convolutional Neural Networks","<span class=\"section-number\">17. </span>Recurrent neural networks: Overarching view","<span class=\"section-number\">4. </span>Ridge and Lasso Regression","<span class=\"section-number\">5. </span>Resampling Methods","<span class=\"section-number\">6. </span>Logistic Regression","<span class=\"section-number\">8. </span>Support Vector Machines, overarching aims","<span class=\"section-number\">9. </span>Decision trees, overarching aims","<span class=\"section-number\">10. </span>Ensemble Methods: From a Single Tree to Many Trees and Extreme Boosting, Meet the Jungle of Methods","<span class=\"section-number\">11. </span>Basic ideas of the Principal Component Analysis (PCA)","<span class=\"section-number\">13. </span>Neural networks","<span class=\"section-number\">7. </span>Optimization, the central part of any Machine Learning algortithm","<span class=\"section-number\">12. </span>Clustering and Unsupervised Learning","Exercises week 34","Exercises week 35","Exercises week 36","Exercises week 37","Exercises week 38","Exercises week 39","Applied Data Analysis and Machine Learning","<span class=\"section-number\">2. </span>Linear Algebra, Handling of Arrays and more Python Features","Project 1 on Machine Learning, deadline October 7 (midnight), 2024","Teaching schedule with links to material","<span class=\"section-number\">1. </span>Elements of Probability Theory and Statistical Data Analysis","Teachers and Grading","Textbooks","Week 34: Introduction to the course, Logistics and Practicalities","Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression","Week 36: Linear Regression and Statistical interpretations","Week 37: Statistical interpretations and Resampling Methods","Week 38: Logistic Regression and Optimization","Week 39: Optimization and  Gradient Methods"],titleterms:{"1":[0,15,16,17,18,23,28,29],"16":32,"2":[0,15,16,17,18,28,29,30],"2023":26,"2024":[23,33],"21":[],"23":33,"26":29,"27":33,"3":[0,15,16,28,29],"34":[15,28],"35":[16,29],"36":[17,30],"37":[18,31],"38":[19,32],"39":[20,33],"4":[0,29],"5":0,"7":23,"9":31,"case":[8,10,25,29,30,32,33],"class":32,"do":[1,30,31,33],"final":[12,29,30,33],"function":[0,1,6,7,8,10,11,12,13,23,25,28,29,30,31,32,33],"import":[5,22,28,29,30],"new":[4,30,31],A:[0,1,4,8,9,28,30,31,32],And:[28,29,30,32,33],But:33,For:29,In:26,Ising:6,The:[0,1,2,3,5,6,7,8,9,11,12,17,21,28,29,30,31,32,33],To:[28,29],With:[4,30],about:[28,29],abov:30,activ:[1,12,30],ad:[0,6,17,23,28,29],adaboost:10,adagrad:[13,33],adam:[13,33],adapt:[10,33],adjust:1,adversari:4,again:[3,9,32],ai:[23,28],aim:[8,9,17,18,19,20,28],aka:[28,29],algebra:[22,28],algorithm:[9,10,11,12,29,33],algortithm:[13,32,33],all:8,an:[0,4,10,28],analys:[5,29],analysi:[0,5,6,11,21,23,25,28,29,30,31],analyt:[0,16,17],ani:[13,32,33],anoth:[9,30,31],appli:21,approach:[0,8,14,28,31,33],approxim:12,architectur:1,argument:33,arrai:[22,28],assist:26,assumpt:[30,31],august:29,autocorrel:25,autograd:[2,13,33],automat:[13,33],avoid:33,b:[17,23,33],back:[1,11,12],background:[21,23,31],bag:10,base:[13,31,33],basic:[0,5,7,9,10,11,22,29,30,31,32],batch:[1,33],bay:[5,30,31],befor:11,beta:[30,31],better:8,bia:[6,23,31],binari:1,bind:28,bird:10,boldsymbol:[29,30,31],boost:10,bootstrap:[6,10,31],boston:0,breast:1,brief:[28,31,32,33],bring:12,build:[1,3,9],c:[23,28],calcul:29,can:[28,31,33],cancer:[1,7,9,11,32],cart:9,center:29,central:[13,21,25,31,32,33],chain:12,challeng:32,chang:10,channel:28,chi:[0,28],choos:1,cifar01:3,classic:11,classif:[1,9,10,32],classifi:[8,32],clip:1,cluster:14,cnn:3,code:[0,1,2,5,9,11,12,13,14,28,29,30,31,32,33],collect:[1,3],come:32,commun:28,compact:32,compar:[2,10],comparison:30,compet:33,complet:29,complex:[0,6,23,29],complic:[6,33],compon:11,comput:[9,33],computation:31,computerlab:28,con:9,concept:25,condit:[30,31,32,33],confid:31,conjug:[13,33],contn:28,convex:[8,13,32,33],convolut:[3,12],correctli:[30,31],correl:[11,29,32],correspond:[32,33],cost:[1,10,29,30,31,32,33],cours:[21,27,28],covari:[5,11,25,29],cover:28,cross:[6,23,31,32],cython:28,d:23,data:[0,1,3,6,7,9,11,15,16,21,23,25,28,29,30,32],dataset:[1,3],deadlin:[23,28],decai:[2,33],decis:[9,10],decomposit:[5,11,17,22,29],deep:[1,2,28,32],defin:[1,28],degre:[0,29],deliveri:23,delta:31,dens:[0,28],deriv:[5,12,29,30,31,32,33],descent:[2,10,13,32,33],descript:23,design:29,detail:[3,28],develop:1,diagon:11,differ:[8,33],differenti:[2,13,33],diffus:2,dimension:[2,3,8,23,29],directli:33,disadvantag:9,discret:25,discuss:32,distribut:[5,25,30,31],distrubut:31,doe:[29,30],domain:25,dot:33,down:1,dropout:1,e:23,each:32,economi:29,electron:23,element:[0,25,28,33],elimin:22,energi:28,ensembl:10,entropi:[9,32],environ:[0,15,28],equat:[0,2,12,28,29,30,32,33],error:[0,10,28,29,31],essenti:28,estim:[30,31],etc:28,euler:2,evalu:1,exampl:[0,1,2,3,4,6,7,8,9,10,28,29,30,31,32,33],exercis:[0,6,15,16,17,18,19,20,28,29],expect:[18,25,30,31],expens:31,experi:25,explor:[0,15,16,28],exponenti:2,express:[17,18,29,32,33],extend:[32,33],extrapol:4,extrem:[10,28],ey:10,f:23,fall:26,famili:[1,28,29],famou:22,fantast:29,featur:[9,22,29],feed:[1,12],find:[31,33],fine:1,first:[4,12,28,29,30,32,33],fit:[0,10,28,30],fix:29,fold:[31,32],forc:3,forest:10,format:[23,28],forward:[1,2,12],fourier:3,frank:[6,23,29],freedom:[0,29],frequent:29,frequentist:[0,28],fridai:[],from:[5,10,12,29,30,31,32,33],full:2,further:[3,5,29],g:23,gan:4,gaussian:22,gd:[13,33],gener:[4,9,28],geometr:[11,32,33],gini:9,good:[0,28],grade:[26,28],gradient:[1,2,10,13,32,33],grid:32,group:32,growth:2,ha:21,handl:[22,28,29],happen:[30,31],hessian:[29,32,33],hidden:2,histogram:31,homework:[32,33],hous:0,how:32,hyperparamet:1,hyperplan:8,i:1,id3:9,idea:11,ideal:[32,33],ident:[30,31],identifi:31,ii:28,iid:[30,31],illustr:30,implement:1,implic:[5,29],improv:[1,33],includ:[13,32,33],increment:11,independ:[30,31],index:9,inform:26,input:2,instal:[21,23,28],instructor:26,intercept:29,interpret:[5,11,28,29,30,31,32,33],interv:31,introduc:[11,13,29,33],introduct:[0,6,21,22,23,28],invers:[5,22,30],invert:29,iter:[10,33],its:29,jacobian:29,jax:[13,33],julia:28,jungl:10,k:[31,32],kera:[1,3],kernel:[8,11],lab:[31,32,33],lagrangian:8,lambda:32,lasso:[5,6,23,29,30,31,32],last:[29,32],later:[5,29],layer:[1,2,3,12],learn:[0,1,2,11,13,14,15,16,21,23,28,29,30,31,32,33],least:[5,6,18,23,28,29,30],lectur:[28,29,30,31,32,33],level:10,librari:[21,28],likelihood:[7,30,31,32],limit:[1,13,25,31,32,33],linear:[0,8,13,22,28,29,30,32],link:[5,11,24,27,29,30,31],literatur:23,logist:[7,28,32,33],loop:33,loss:[29,32,33],lu:22,machin:[0,8,13,21,23,28,32,33],made:[30,31],main:[25,28],make:[0,9,10,15,16,28,29],mani:[10,12],manipul:29,margin:[30,31],mass:28,materi:[23,24,28,29,30,31,32],math:[5,29],mathemat:[3,5,8,29,33],matric:[5,22,28,30],matrix:[1,5,11,12,22,28,29,30,32,33],matter:[0,28],max:29,maximum:[30,31,32],mean:[0,29,30,32],measur:32,meet:[5,10,25,28,29],mercer:8,method:[6,9,10,13,23,28,31,32,33],midnight:23,min:29,mini:33,minibatch:33,minim:[28,32],ml:28,mle:[30,31],mlp:12,mnist:[3,4],model:[0,1,4,6,12,28],moment:33,momentum:[13,33],mondai:[29,30,31,32,33],moon:[8,9],more:[3,6,22,23,28,29,30,31,32,33],multilay:12,multipl:[1,3],multipli:8,need:[23,28],network:[1,2,3,4,7,12,28,32],neural:[1,2,3,4,7,12,28],newton:[32,33],noen:[],non:8,none:33,normal:[0,1,31],notat:12,note:[23,29,30],now:[1,9,13,30,31,33],nuclear:[0,28],nueral:32,numba:28,number:[0,2,25,29,33],numer:[2,23,25],numpi:[22,28,33],object:3,obtain:11,octob:23,od:2,off:[6,23],ol:[5,6,23,30,31,33],one:[2,12,32,33],oper:22,optim:[1,8,13,21,28,29,32,33],order:[13,33],ordinari:[5,6,18,23,28,29,30],organ:[0,28],oslo:27,other:[4,9,11,12,22,23,28,29,32],our:[0,4,5,11,13,28,29,32,33],outcom:[21,28],output:2,overarch:[0,4,8,9,17,18,19,20,28,29],overview:[10,28,33],own:[0,10,11,15,16,28,29],packag:[22,28],panda:[28,29],paper:23,paramet:[28,29,32,33],part:[13,21,23,29,32,33],partial:2,pass:1,pca:11,pdf:25,pencil:23,perceptron:12,perform:[1,9],period:3,perspect:1,plan:[29,30,31,32,33],plot:[31,32],point:4,poisson:2,polynomi:[3,30],popul:2,popular:28,practic:[13,26,28,33],pre:[1,3],preambl:23,predict:4,predictor:32,preprocess:29,prerequisit:[3,21,28],princip:11,principl:3,pro:9,probabl:[5,25,30,31],problem:[1,2,13,28,29,30,32,33],procedur:[9,28],process:[1,3],product:33,program:[2,13,23,32,33],project:[6,23,28,32],prop:[13,33],propag:[1,12],properti:[5,25,29,32],python:[0,9,15,21,22,28],quick:8,r:28,random:[10,11,25,32],raphson:[32,33],rate:33,read:[9,28,29,31,32],real:[6,23,28],recommend:[28,29,33],rectangular:30,recurr:[4,12],recurs:33,reduc:[0,29],reduct:3,refer:23,reformul:2,regress:[0,5,6,7,9,10,13,17,18,23,28,29,30,31,32,33],regular:[1,32],relat:29,relev:[27,29,32],relu:1,remark:3,remind:[6,8,28,32,33],repeat:29,replac:[13,33],report:23,repositori:31,requir:[2,21],resampl:[6,23,31],rescal:[6,30],residu:29,resourc:2,result:[29,30],revisit:[13,32,33],rewrit:[28,29,31],rewritten:32,ridg:[0,5,6,17,18,23,29,30,31,32,33],rm:[13,33],rmsprop:33,rule:12,s:[8,10,31,32,33],same:[13,31,33],sampl:11,scale:29,schedul:[24,28],schemat:9,scheme:2,scienc:28,scikit:[0,1,11,15,16,28,29,30,31,32,33],search:32,second:[13,33],select:32,semest:26,sensit:[32,33],septemb:[30,31,32,33],session:[29,30,31,32,33],set:[0,2,3,9,12,15,28,29,32],sgd:[13,33],should:1,similar:[13,33],simpl:[0,4,9,13,28,29,30,32,33],singl:10,singular:[5,11,17,29],size:29,slightli:33,soft:8,softmax:1,softwar:[23,28],solv:[2,30,32,33],solver:13,some:[13,22,29,32,33],specifi:2,split:[0,15,16,28,29],squar:[0,5,6,10,18,23,28,29,30],standard:[13,29,31,33],state:[0,28],statist:[5,6,21,25,28,30,31],steepest:[10,13,32,33],step:[31,32,33],still:29,stochast:[13,25,33],stop:33,strongli:28,studi:32,subtract:29,suggest:[28,32],sum:31,summari:[26,28],superposit:3,supervis:1,support:8,svd:[5,29,30],syntax:33,systemat:3,t:[29,30],teach:[24,26],teacher:[26,28],technic:30,techniqu:[6,11,23],technolog:21,tensorflow:[1,3],tent:28,term:31,test:[0,1,15,16,28,29,30],text:28,textbook:[27,28],than:[32,33],theorem:[5,8,11,12,25,30,31],theori:25,thi:[17,18,19,20,28],think:29,thursdai:[],time:33,tip:[13,33],togeth:12,tool:[23,28],top:1,topic:28,toward:11,trade:[6,23],tradeoff:[6,31],train:[0,1,4,15,16,28,29],transform:3,tree:[9,10],tuesdai:30,tune:1,two:[3,8,21,23,29,32],type:[2,4,12,28],uio:28,understand:31,univers:[12,27],unsupervis:14,unsupport:33,up:[0,2,9,12,15,28,29,31,32],us:[0,1,2,3,7,13,21,23,28,29,32,33],usag:[30,31],valid:[6,23,31,32],valu:[5,11,17,18,25,29,30,31,32],vari:33,variabl:[25,32,33],varianc:[6,23,30,31],variou:[0,15,28,31,32],vector:[8,12,22,28,29],video:[32,33],view:[0,4,10,29],visual:[1,9],vs:3,wai:[9,31],wave:2,we:[28,33],wednesdai:30,week:[15,16,17,18,19,20,28,29,30,31,32,33],weekend:32,weekli:24,what:[0,28,29,30,31],when:33,which:[1,33],why:[28,29,31],wisconsin:[7,32],wrap:[29,31],write:[4,11,23,30],x:[29,30],xgboost:10,yet:30,your:[0,10,15,16,28,29],yourself:32}})
\ No newline at end of file
+Search.setIndex({docnames:["chapter1","chapter10","chapter11","chapter12","chapter13","chapter2","chapter3","chapter4","chapter5","chapter6","chapter7","chapter8","chapter9","chapteroptimization","clustering","exercisesweek34","exercisesweek35","exercisesweek36","exercisesweek37","exercisesweek38","exercisesweek39","intro","linalg","project1","schedule","statistics","teachers","textbooks","week34","week35","week36","week37","week38","week39"],envversion:{"sphinx.domains.c":2,"sphinx.domains.changeset":1,"sphinx.domains.citation":1,"sphinx.domains.cpp":4,"sphinx.domains.index":1,"sphinx.domains.javascript":2,"sphinx.domains.math":2,"sphinx.domains.python":3,"sphinx.domains.rst":2,"sphinx.domains.std":2,"sphinx.ext.intersphinx":1,sphinx:56},filenames:["chapter1.ipynb","chapter10.ipynb","chapter11.ipynb","chapter12.ipynb","chapter13.ipynb","chapter2.ipynb","chapter3.ipynb","chapter4.ipynb","chapter5.ipynb","chapter6.ipynb","chapter7.ipynb","chapter8.ipynb","chapter9.ipynb","chapteroptimization.ipynb","clustering.ipynb","exercisesweek34.ipynb","exercisesweek35.ipynb","exercisesweek36.ipynb","exercisesweek37.ipynb","exercisesweek38.ipynb","exercisesweek39.ipynb","intro.md","linalg.ipynb","project1.ipynb","schedule.md","statistics.ipynb","teachers.md","textbooks.md","week34.ipynb","week35.ipynb","week36.ipynb","week37.ipynb","week38.ipynb","week39.ipynb"],objects:{},objnames:{},objtypes:{},terms:{"0":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,22,23,25,26,28,29,30,31,32,33],"00":[0,1,5,6,9,11,28,29,30],"000":[1,3,9],"0000":[5,9],"00000":[9,33],"000000":[5,11,29],"00000000e":[5,29],"00001":33,"00002":33,"00002585e":29,"00003":33,"00005":33,"00007":33,"00009":33,"0001":[1,17],"00010067":33,"00012":33,"000137":25,"00016719":33,"00017733":[],"00018":33,"00018053":[],"00019998":5,"00021270681344726395":[],"000225":33,"00023":33,"00023813":[],"00024087":5,"00024929":33,"00025662":33,"0002762":33,"00027746":33,"00028":33,"00028167":33,"00029012":5,"0002926":[],"00030601":33,"00031208":33,"00031535148309577417":[6,30],"0003153514830958095":[6,30],"00033904":33,"00034576":33,"00034688149480437765":[],"00034944":5,"0003701342170783489":9,"00037564":33,"00038309":33,"00041619":33,"000417932":2,"00042089":5,"00042093":33,"00042444":33,"00044":33,"00046006":33,"00046111":33,"000464088":2,"00047025":33,"00050694":5,"00051088":33,"00052102":33,"00053001":[],"00053122":[],"00056603":33,"00057726":33,"00058016":[6,30],"00060":33,"00060704":6,"00061058":5,"00062592":6,"00062668":[],"000626681519836":[],"00062713":33,"00063362":31,"00063866":31,"00063957":33,"00066668":[6,30],"00067008":33,"00068091":31,"00068734":[6,30],"00069":33,"00069123":6,"00069482":33,"0007086":33,"00073541":5,"00075590":31,"00076202":33,"00076495":[6,30],"00076908":6,"00076983":33,"0007698473260556325":[6,30],"0007698473260556343":[6,30],"000783":[],"00078324":[],"00078509":33,"00079125":6,"00079904":31,"00079968":5,"00080497":[],"0008297120772365539":[],"00083355":31,"00084707":6,"00085292":33,"00085892":6,"00086984":33,"00087697":[6,30],"00088573":5,"00089193":31,"00092678":6,"00092898":31,"00094499":33,"00096314":5,"00096373":33,"00099778":[],"001":[1,2,8,13,17,30,32,33],"00100519":[6,30],"00100913":[],"001047":33,"0010479245693919886":[6,31],"00105081":[6,30],"00106677":5,"00106776":33,"00107405":[6,30],"00108":33,"00108471":[],"00111756":[6,30],"00114401":[],"00114855":[],"0011526":[6,30],"00115631":33,"00115999":5,"00116001":33,"00118302":33,"00118584":6,"00119688":31,"00126053":33,"00128479":5,"00128523":33,"00131072":33,"001323":[6,30],"00133638":[],"00136125":[],"00137814":6,"00139705":5,"00140846":31,"00141727":33,"00142396":33,"00144539":33,"0014522":33,"001468":[],"00146807":[],"00149311":[6,30],"00149956":[6,30],"00151416":[],"00152117":[6,30],"00154733":5,"00154853":31,"00156374":6,"00157766":33,"00158":33,"00160895":33,"00162921":[],"00167329":33,"00168251":5,"00168745":[],"00169":33,"00170809":[],"00172865":[],"00174276":[6,30],"00174738":[],"00174795":33,"00175331":[6,30],"00178263":33,"00180673":33,"0018310257999764163":[],"00186347":5,"001880":5,"00193661":33,"00197505":33,"00200":8,"00202624":5,"00202756":[6,30],"00208188":33,"00209403":[],"00211418":[],"00214559":33,"00217499":[6,30],"00218823":33,"00219195":31,"00220013":[],"00224413":5,"00225842":33,"00228740":6,"0023548":[6,30],"00237699":33,"002381316302584885":[6,30],"0023813163025848865":[6,30],"00242441":33,"00242954":31,"00242999":6,"00243186":[6,30],"0024401":5,"00249435":[6,30],"00250787":[],"00254973":[],"00256622":[],"00263296":33,"00264":33,"00266858":2,"00268602":33,"00270244":5,"00274989":[6,30],"00282226":[],"00282302":33,"00289724":[6,30],"00290613":[],"00291535":33,"00293838":5,"00297571":33,"00310113":2,"00312361":[6,30],"00315593":6,"0032153180657605116":[6,31],"00322456":33,"00323332":[6,30],"0032542":5,"00325450":31,"00329616":33,"00330046":[],"003301":[6,30],"00334047":[],"0033955154592040936":[6,31],"0034318":33,"00348246":[],"00352878":33,"00353823":5,"00353938":[],"00355614":33,"0036237":[6,30],"0036367":[6,30],"00364967":33,"00369758":[6,30],"0038335":[6,30],"00389038":33,"003909404072811226":[6,31],"00391839":5,"0039259":[],"0039987":[6,30],"00399972":[],"004":[5,30,31],"00403677":33,"0040792":[],"00408":33,"004091940707753939":[6,31],"00410387":[6,30],"00410478":6,"004113634617443131":[6,29,30],"00411363461744314":[6,29,30],"004113634617443147":[6,29,30],"0041148":[],"00412":33,"00415598634586135":[6,31],"00416103":33,"00420072":31,"00424909":2,"00424967":[6,30],"00426027":5,"0042992":33,"00433417":11,"00434043":[],"0043587":[],"00440346":[6,30],"00441097":33,"00443743":[6,30],"0044505":33,"00445186":33,"00445655":11,"00455966":[],"004579219539673834":[6,31],"00458631":[],"00458878":[6,30],"004610275230656212":[6,31],"00462287":[6,30],"00465099":31,"0046544":[],"00468914":25,"00471782":5,"00472199":6,"00472276":[],"00472512":[6,30],"00476012":33,"00487029":33,"0049544":[6,30],"00497837":30,"004999999999999991":[],"005":0,"005000000000000001":[],"00507531":[],"00509128":33,"00512599":[],"00512927":5,"00513051":[],"00517114":[6,30],"00519717":[],"00520911":33,"00522055":[],"00526348":[6,30],"0053018":[6,30],"00537955":[],"00544547":33,"00551372":33,"00552462":[],"00554202":[],"00554552":[6,30],"00556826":[6,30],"00556946":[],"0055715":33,"00557893":[],"00560098":[],"005643":[],"00564344":[],"00564365":33,"00566707":[],"0056799":5,"00569512":[],"00570321":[],"0057065":[],"00573727":[],"00574735":[],"00579953":[6,30],"0058243":33,"00586355":[],"00588657":[6,30],"00593362":[],"0059591":33,"00606382":[],"00607783":6,"006162":[6,30],"00617221":[],"00617499":5,"0062202":[],"00622949":33,"00625051":[],"00630331":[6,30],"00633289":[],"00634299":[],"00637188":[],"00637367":33,"00641423":[],"00642221":[6,30],"00644":33,"0064472":30,"00647029":[],"00659604":[],"00660427":[6,30],"00666287":33,"00667611":[],"00672607":[6,30],"00673407":[6,30],"00676256":22,"00676387":[6,30],"00679013":[],"0068011":[6,30],"00681708":33,"00683748":5,"00683875021199284":[],"00683964":[6,30],"00685287":[],"00687309":[],"00689214":33,"00691012":[],"007024126888938232":[6,31],"00702721":[],"0071264":33,"00719176":[6,30],"00727646693":[0,28],"00729134":33,"00731392e":29,"007315":29,"00732665":[],"0074331":5,"00747773":[],"00759119":6,"00762217":33,"007658477904313023":[],"00779859":33,"00781918":31,"00784393":[6,30],"00789262":[],"00791263":[],"00798909":[],"00803064":[6,30],"008043811612683473":[],"00805074":31,"00812487":[],"00813803":6,"00815244":33,"00816675":[],"00817631":[6,30],"00823002":5,"00827728":[6,30],"00831018":[6,30],"00834112":33,"00834567":[6,30],"00848904":[6,30],"008560581831215528":[],"00859693":[],"00861518":33,"0086649156":[0,28],"008675369724975977":5,"00871959":33,"008753288788081405":29,"00889475":[],"00891702":[],"0089214":33,"00894639":5,"00905423":[6,30],"009163470508352218":5,"009164545680330616":[6,31],"00917248":[6,30],"009211602191395454":29,"00925406":33,"00930146":[],"0093262":33,"009338082195270294":[],"00934327e":29,"00934499":[6,30],"00939407":[],"009396472959497925":[],"00940611":[],"00942574":[],"00943959":[],"00954206":33,"00955125":[],"00956827":[],"0096208":[6,30],"00974758":[],"00989834e":[],"00990475":5,"00992331":[6,30],"00996754":[6,30],"00997502":33,"01":[0,1,2,5,6,9,11,13,17,27,28,29,30,33],"010018312644137363":[6,31],"01003519":[],"01006":33,"01006984":[],"0100706":[6,30],"01013849":[],"01014331":[],"01020588":33,"01024875":[],"01031":33,"01032533":[],"010331721306655127":[6,31],"010348289064969316":[],"01035006":[],"01039879":[],"01044475":[],"010516485576645508":[6,31],"01060492":[],"010612904886352397":[],"01066519":[6,30],"01066897":33,"01075018":[],"01076611":5,"01076897":33,"01080465e":[],"01084359":[],"01091589":33,"01098247":[],"0110":25,"011076219011379514":[6,31],"011156605304609659":[],"01119738":[],"011208613520466846":[],"011225":2,"01123792e":29,"0113104":[6,30],"01131771":[],"01141119":33,"01161645":[],"0116753":33,"01178857":[],"01179128":[],"01179415":[],"01179792":[6,30],"011818646101922625":29,"01191824":5,"01206221":[],"012073649446193166":[6,31],"0121289":[],"01219292":[6,30],"01220505":33,"01222822":29,"01223198":[6,30],"01231917":[6,30],"01234":[],"01234261":[],"01241284":[],"01244297":[],"01247909":[],"01248754":33,"01250964":[],"01265755":29,"012658":29,"01266999":[],"01267007":30,"0126711":[],"01288787":[],"01290947":[6,30],"01295356":5,"01305415":33,"013121574015585152":[6,31],"013121574015585155":[6,31],"01315875":[],"01318643":[6,30],"01329403":[],"01335628":33,"0134113":[],"01346122":33,"01347916":[6,30],"01348565":[6,30],"01349244":[],"01353638":[],"01367553":[6,30],"0137297":33,"01373484":[],"01376216":[],"01393496":[],"01396231":33,"01397146":[6,30],"01405935":[6,30],"01406777":[],"01409478":[],"01416528":[6,30],"01428546":33,"01433809":5,"014436800088904942":[6,31],"01449782":[6,30],"01458337":[6,30],"014586":29,"01458611":29,"0146081":[6,30],"01463049":[6,30],"01480256":[],"01493365":33,"014934":33,"01499192":[],"01506354":[],"01507238889517706":[6,30],"01507238889517717":[6,30],"01511937":33,"01527928":33,"01530321":[],"01531845":[6,30],"01532738":[],"01543076":[],"01549377":[6,30],"01551724":[],"015518":[],"01551815":[],"01552874":[],"01558197":5,"01572":33,"01573062":[],"01573768":[],"01594452":31,"01597256":33,"01620955":[],"01624447":[],"01625794":[],"01628578269596628":[6,31],"01633913":[6,30],"01634224":33,"01640891":6,"01643795":[],"0164974":[],"01654574":[],"01655318":[6,30],"01655384":[],"016587414993043573":[6,31],"01681612":[],"01682652":33,"01691985":[6,30],"0169643":5,"01706166":[],"01708375":33,"01708781":[6,30],"01708852":[6,30],"01713366":[6,30],"01717549":[],"01724499":5,"017355848195593347":[6,31],"01735584819559336":[6,31],"01747915":33,"01756114":[],"01759442":[],"01760144":[],"017665":5,"01772779":[],"01779091e":[],"01783096":[],"01783414e":29,"0178462":[],"01793261":[],"0179826":[],"01811279":[],"01817048":[],"018232":29,"01826811e":[],"01827225":33,"01831050e":[6,30],"01831190e":[6,30],"01844822":[],"01863203":[],"01866537":[6,30],"01869515":33,"01873344":11,"01873869":5,"01881237":[],"01897462":[],"01898855":[6,30],"01905883":[6,30],"01908936":[6,30],"01922269":[],"0195302":[],"01954342":33,"01963611":[6,30],"01969145":[6,30],"01975416527185249":[6,31],"01975848":[6,30],"01979808":[],"01999575":33,"02":[0,4,6,7,12,28,29,30,32],"02014577":[],"02016185":[],"02024962":[6,30],"02026756":[],"02031987":[],"02032056":[],"02054837e":[6,30],"0206033":[],"02068067":[6,30],"02073509":5,"02077431":30,"02090304":33,"02091662":[],"02098261":[6,30],"02102403":[],"02103315":33,"0211429":[],"02123176":[6,30],"02126205":[],"02137508":22,"02138683":33,"02148021":33,"02151521":[],"021544346900318832":30,"02156196":[],"02156565":[],"021592704588025022":[6,31],"021592704588025025":[6,31],"02164667":[],"02175561":22,"02183817":[],"02189863":[],"02198702e":[6,30],"02198703e":[6,30],"022":[],"02207054":[],"02208512":[6,30],"02214409916811925":25,"02218076":[],"02228115":[6,30],"02229529":[6,30],"02235723":33,"02252765":5,"02286267":[],"02287468":33,"02296298":33,"022999498260366312":[6,31],"0231353":[],"0232":[],"02322594":[],"023295599127611474":[],"02330799":[],"02334754":[],"02338085":[],"02345858":[],"02348765":[6,30],"02354386":22,"02355756":[],"02358547":[],"02361665":[],"02365049":[6,30],"02374496":[],"02386932":[],"0239126":33,"024":[],"024011020121022356":[],"02404706":[],"0241039":[],"02424794":31,"02432309":[],"02441422":[],"02446604":33,"02447063e":[],"0245528":[6,30],"02456":33,"02459084":33,"02472936":[],"024792624800382218":5,"02492265":5,"02496085":33,"02498832":[6,30],"02500488":[],"02502325":[],"02503753":[6,30],"02511518":6,"02522069":6,"02527621":[],"0253208":[],"02540212":[],"02545":33,"02546675":31,"02552966":22,"02557617":33,"02564828":[],"02566356":[],"025709":[11,29],"02572685":[],"02576358":[],"02576685":[],"02586427":[6,30],"02594314":[],"02601643":[],"0260906":[6,30],"02612988e":29,"02616812":33,"02622039":[],"0262517":[],"02625193":8,"02629144":33,"02631942":[],"02632742":[],"02649469":[],"026495":[],"02651857":[],"02654585":[],"02660572763718093":[6,31],"026605727637180936":[6,31],"02664408":[],"02693015":[],"02693858":30,"02707227":5,"02723445":[6,30],"02735547":33,"02754248":[],"027609773491022525":[6,31],"02760977349102253":[6,31],"02769274":[],"02784266":[],"02787184":[],"0279886":33,"02808229":[],"02809972":[],"02850506e":29,"02857":4,"028638258927275215":[],"02895918":30,"02900153e":33,"029003":[],"02901273e":29,"02909574":[],"02920675":[],"02923006":[],"02925855":33,"02928194":[],"02944152":[],"02946852":[],"029483":5,"02965159":[],"029733":29,"02976145":[6,30],"02980537":[],"02993573":33,"02994311":5,"02f":[6,23],"03":[1,6,29,30],"03015288036252618":[],"03032441e":[6,30],"03033791":[],"0303586629618948":[],"03057995":[],"030645975175292262":[],"03076019":[],"03077640549":4,"03099776":5,"031":[5,30,31],"03115122":[],"03158013":[],"0317606":[],"03177331":22,"03196357":[6,30],"03201179e":[],"03201832":33,"03205795":[],"032142":[],"03214247":[],"03214829":[],"0321956":11,"032196":11,"03239393":[],"03244944":[],"03247316":[],"03251863":5,"03256632e":1,"03267527":[6,30],"03279636":[6,30],"03285784":[],"0328643":33,"0330308045183194":[6,30],"0330308045187757":[6,30],"03306538":33,"03308408":5,"03309191e":29,"03311432":[],"03313259e":29,"03317599":[],"0332335":25,"033233504714921":25,"03358833":[],"03365012":[],"033657685071527665":[6,31],"0337609":[],"03382942":28,"03396658":[],"034":[],"03400724e":29,"03404758":[],"034048":[],"0342028":[],"0342458":33,"03447512":[6,30],"034476":11,"03447649":11,"034557":29,"03476611e":29,"03479236":[],"03511387":[],"03529801":[],"03538673e":29,"03562355":[6,30],"03568439":[6,30],"03578526":[],"0359565":5,"03596557":[],"0362483569261072":[],"03630548":[6,30],"03642173":[],"03648711":[],"036527092051294":[],"03662823":33,"03664879":[],"03681479262838276":[],"0369544130635358":[],"03701105":[],"03707133":11,"037813671417389005":[6,31],"03781367141738902":[6,31],"03796359":[],"03814292":[6,30],"03815288":[6,30],"038300":[11,29],"03837":33,"03844073":[],"03846169":30,"03853268":[],"03853313":[],"03868372":[],"03872795610436844":[],"03873507":[],"03887801":[],"039039":5,"03916813":[],"03948301":[],"03960002":[],"03976851":33,"03979291":[],"039967668952797":[6,30],"0399676689527975":[6,30],"04":[1,6,11,29,30],"040102":5,"04010697":[6,30],"04018985":[],"04046513":[],"04061345":[],"04063602":[6,30],"040684":[],"04072235":[],"0408223":[],"041":[6,9],"04101344":[],"04108038":33,"04110474":[],"0411487294305088":[6,30],"0411487294305226":[6,30],"04161572":[],"04191323":[],"04193203":29,"042060":[],"04206048":[],"042136":[],"04216532":[],"0422":[],"04220758":[6,30],"04224929":[],"04238763":[],"04262217":[],"04295757":31,"043":9,"043072":[],"04307275":25,"04315108":5,"04315855":[],"04323936e":[],"04346721":5,"04353549":[],"04355837":[6,30],"04362":9,"043637":[],"0437499":2,"043839":[],"04389027":[6,30],"044014":[],"04401421":[],"04413243":[],"04423486":[6,30],"04426744e":29,"044334":29,"044613":[6,30],"04487298":[],"0449":[],"04495752":[],"04504728e":29,"045161":[],"045258":[],"04537385":[6,30],"04543942":[6,30],"045630":[],"04566964":[6,30],"0458":9,"04588592":[],"045963":[],"04641529":[],"04648335":5,"04652794":[],"04657426":[],"04664255":6,"046663":[],"046678":[],"046764":[],"04683565":5,"047299":[],"0473916":[],"047447724189861":[],"0474753":33,"047489":[],"04757138":22,"047760":[],"04784395":[6,30],"04794409":[],"048020":[],"04808723":[],"0481872773043029":[6,31],"04832356":[],"04838148":[],"04877931":[],"048781":[],"04892055":[6,30],"04899367":[],"049060":[],"04909093":[6,30],"04912436":6,"049196":[],"04926746":31,"049276":[],"049380":[],"049479":[],"049481":[],"049556996627824":[6,30],"0495569966278269":[6,30],"04955942":[],"04963309":[],"049677":[],"05":[1,4,6,23,29,30,33],"050015":[],"05002471":[],"05005634426334421":[],"05006037":[],"05009826":[6,30],"05029018":[],"050315327923114654":28,"05034088e":29,"05040878":[],"05045":[],"05054319":29,"05060379":[],"05068486":[],"050796":[],"05087018":[],"05098714":[],"05100875":[6,30],"051021":[],"051042":[],"05135047":33,"051368":[],"05141614":[],"051418":5,"051554":[],"051645":[],"051649":[11,29],"0517473":5,"05176711":[],"051787":[],"052010":11,"05201041":11,"05224117":[],"052279218012056844":[6,31],"05227921801205686":[6,31],"052305":29,"052370":[],"05240397":[],"052427":[],"0524497":29,"0525733":[],"05263":9,"052692":[],"052738":[],"052856":[],"05296475":22,"05302":9,"053036":[],"05336637":[],"053387":[],"053417":29,"053462":[],"053599":[],"05364854":8,"053787":[],"05383795":[6,30],"053849":5,"053854":[],"05401912":[],"054197":[],"054286":[],"054434":[],"05447415":[6,30],"054609":[],"054617":29,"054655":29,"054932":[],"055000":[],"05505310046363":2,"055091049054481":[],"05509105":[],"05519999":30,"05533":9,"055477":[],"05549529":[],"055653":[],"055676":29,"055734":29,"055737":[],"05577845931438246":[],"055876":[],"055910":29,"055987":29,"056026":[],"056041":[],"05614483":5,"0562":31,"05623":9,"056287":[],"056328":[],"05641352":[],"056414":[],"05648":9,"05651951":[6,30],"05665429e":29,"05667":9,"056683":29,"056717":[],"056826":[],"056856":[],"05716368155342608":[6,31],"057216":[],"057287":[],"057300":29,"057316":[],"057387":[],"057393":29,"057418":29,"057420":[],"057457":29,"05747369":[],"057514":[],"057607":[],"057609":[],"057722":29,"057835":29,"05785343":[6,30],"05789007":[6,30],"057913350391706":[],"057929":[],"05792927":[],"057951":[],"057961":[],"05796251":[6,30],"057964":[],"05804539":[],"05804744e":33,"05807125":[6,30],"058133":[],"058152":[],"058234":[],"058245":[],"058254":[],"058361":[],"058422":[],"058427":[],"058552":29,"058582":[],"058593":[],"058641":[],"058645":29,"0586484":33,"058721":[],"058770":[],"05883":9,"05884":9,"058854":29,"05888195":[],"058952":29,"058967":[],"058970":[],"058996":29,"058997":[],"059031":29,"059201":[],"059243":[],"059340":[],"059624":[],"059669":[],"059761":11,"05978512":[],"059807":29,"059876":[],"059951":29,"059956":11,"05996":33,"059977":[],"05999":9,"059992":[],"059993":29,"06":[6,29,30,33],"060071":[],"060083":29,"060085":[],"060087":[],"060171":[],"06020264":[],"06020587":[6,30],"060251":[],"060254":29,"060275":11,"060288":[],"060312":[],"06043581":[6,30],"060453":[],"060470":[],"060471":[],"060475":[],"0604888":[],"060490":[],"060547":[],"060629":[],"060631":[],"060652":[],"0606958":[],"060716":29,"06072":33,"060726":11,"060734":[],"060735":[],"060756":29,"060870":[],"060872":29,"060898":[],"060994":[],"061025":[],"061154":[],"061163":29,"061284":[],"061319":11,"061359":29,"061386":[],"061443":29,"061452":29,"061588":[],"061614":29,"061637":[],"061656":[],"061706":[],"061724":[],"061848":[],"061862":[],"061898":11,"061921":[],"06200174":5,"062016":29,"062053":[],"062058":[],"06208238634231949":[6,31],"062161":[],"06216141":[],"062173":[],"062199":[],"062216":5,"062231":[],"062260":[],"062263":[],"062282":[],"062292565":4,"062300":[],"062337":29,"062356":[],"062429":[],"062520":11,"062599":29,"06260611":[],"062616":[],"062624":29,"062637":[],"062691":[],"062700":[],"062797":[],"062853":[],"062874":29,"062932":[],"063017":[],"063019":29,"063048":[],"063061":29,"063064":[],"063080":29,"063130":11,"063133":[],"063161":11,"063163":[],"063197":11,"063206":11,"063260":29,"063294":11,"063332":11,"063354":[],"063395":11,"063518":[],"063525":[],"063526":[],"063536":5,"063545":[],"063549":[],"063560":[],"063637":[],"063653":29,"063673":[],"0637712":[],"063781":[],"063786":5,"063791":[],"063802":[],"0638484":33,"063862":[],"063894":29,"06392846":[],"063933":11,"063954":[],"063959":[],"063977":[],"063995":[],"064000":[],"064074":29,"064077":[],"06410638":[],"064107":[],"06416459":[],"064166":[],"06418809":33,"064189":11,"064202":[],"064218":[],"064294":[],"06430789":[],"06432267":[],"064382":[],"064427":[],"064428":[],"06444":9,"06444224":[],"064501":29,"064505":[],"064507":[],"06453579006728324":[6,31],"064547":[],"064573":[],"064604":[],"064606":[5,29],"064609":29,"064615":[],"064668":[],"064690":[],"064695":[],"064699":29,"064728":11,"064739":[],"064793":29,"064820":[],"064834":[],"064873":[],"064878":[],"06491736":[6,30],"064978":[],"065001":[],"065007":[],"065028":[],"065062":[],"065077":29,"065096":11,"065108":[],"065121":5,"065149":[],"065212":[],"065217":11,"065352":[],"065358":[],"06536971":[],"065378":29,"065390":29,"065410":29,"06547790180152355":[6,31],"06547790180152359":[6,31],"065482":[],"065556":[],"065616":[],"065619":5,"065654":5,"065679":[],"065788":[],"065818":[],"065821":5,"065830":[],"065949":[],"065963":[],"066054":11,"066059":5,"066066":29,"066127":5,"066145":5,"066153":[],"066199":5,"066205":5,"06622369":[],"066256":[],"066286":11,"066358":5,"06637":9,"066425":5,"066458":[],"066474":29,"066500":29,"066612":29,"06662069e":[],"066633":[],"066647":29,"066653":[],"0666807":2,"066686":11,"06674611e":[],"066763":[],"066766":5,"06677444e":[],"066778":5,"066787":29,"066824":[],"066837":[11,29],"066838":[],"06685171":[],"066854":29,"066855":[],"066865":[],"06690071":[],"066912":5,"066948":5,"066988":11,"066997":[],"066999":29,"067000":5,"067003":[],"067074":[],"067141":[],"067164":[],"067168":[],"06724062":5,"067270675787016":33,"067367":[],"067374":11,"067380":[],"067400":11,"067431":11,"067511":11,"067515":5,"067539":5,"067637":29,"067671":[],"067707":29,"067764":[],"06777772":[],"067793":[],"067809":[],"067843":11,"067922":11,"067948":[],"067967":[],"067974":11,"06804775":[],"06808421":22,"068116":[],"068206":[],"068215":11,"068264":29,"068268":[],"068307":29,"068353":5,"068360":[],"068369":[],"068394":11,"068408":[],"068441":29,"06844519414009445":[6,31],"06844519414009446":[6,31],"068446":[],"06849372":[],"068494":[],"068504":[],"068512":5,"068533":[],"068539":11,"068587":11,"068592":[],"068607":[],"068629":29,"068680":[],"068684":[],"068727":29,"068758":[],"068775":11,"068827":11,"068843":11,"068897":[],"068903":[],"068906":29,"068912":[],"068924":11,"068967":[],"068977":11,"068985":11,"06901081":[],"069028":29,"069045":11,"069129":11,"069179":[],"069203":5,"06926192":28,"069270":11,"069293":5,"069317":[],"069320":11,"069322":[],"069399":[],"06942115e":[],"0694226":[],"069427":[],"069439":[],"069452":29,"069484":[],"069486":[],"069584":29,"069802":[],"069811":11,"06984502":[],"069866":5,"069873":[],"069885":[],"069907":5,"0699274":25,"069978":[],"069979":[],"07":[6,29,30,33],"070024":11,"070027":11,"070043":29,"070095":[],"070098":11,"070135":5,"070146":29,"070150":[],"07016":9,"07017":9,"070183":11,"070213":29,"070274":11,"070275":11,"07039":9,"070432":[],"070441":[],"070457":29,"070462":[],"070514":[],"070531":5,"070547":11,"070552":5,"070556":[],"070558":[],"070582":29,"070600":[],"070605":5,"070622":5,"07062318":[6,30],"070630":[],"070655":5,"070696":11,"070712":5,"070737":29,"070772":11,"070780":5,"070805":5,"070855":5,"070859":[],"070886":[],"070889":[11,29],"070891":[],"070898":[],"070916":11,"070918":11,"070950":[],"070980":[],"070986":29,"071049":5,"071055":11,"071103":[],"07115":9,"071173":5,"071186":11,"071191":11,"071208":[],"07123177":[],"071252":[],"071279":[],"071291":[],"071294":5,"0713":[0,28],"071314":[],"071356":[],"071379":11,"071433":[],"071436":5,"071437":5,"071449":[],"07145103":11,"071530":[],"071560":5,"071572":[],"071578":[],"071580":11,"07160048164233102":[6,31],"07160048164233104":[6,31],"071608":[],"071638":5,"071643":11,"071655":[],"071656":11,"071680":5,"071758":[],"071803":[],"071831":[],"0718316":33,"071868":[],"071921":[],"071935":[],"071937":[],"072000":29,"072015":5,"072031":5,"072037":5,"072092":[],"072111":29,"072132":[11,29],"072147":[],"07218473624441492":22,"072200":11,"072209":[],"072286":[],"072290639572326":25,"07229064":25,"072304":[],"072344":[],"072380":5,"07241855":[],"072476":29,"072500":[],"072590":[],"072591":5,"072621":29,"072638":[],"072684":[],"072689":[],"072697":[],"072728":[],"072752":[],"072817":[],"072824":11,"072826":5,"072843":[],"072849":5,"07285":3,"072863":[],"072947":11,"072961":5,"072997":5,"073048":[],"073102":[],"073109":[],"073253":[],"073258":11,"073262":11,"073288":[],"07332248":[],"073339":[],"073405":[],"073408":[],"073415":[],"073422":[],"073499":[],"073514":5,"073528":11,"073576975500551":25,"073598":[11,29],"073612":5,"073644":29,"073647":11,"073672":[],"073685":[],"07373479":[],"07378525":[],"073791":[],"073800":5,"073858":[],"073866":[],"073882":11,"073911":5,"073923":[],"07405556":[],"074067":[11,29],"074084":29,"074112":[],"074114":[],"074115":11,"074130":[],"074210":29,"07421084":5,"074221":[],"07429886e":[],"074323":29,"074368":[],"074374":5,"074417":[],"074454":5,"074531":[],"074561":11,"07456491":5,"07469645":[],"074807":[],"074824":[],"074859":[],"074892":[],"07490892":[6,30],"074971":[],"075176":[],"075177":[],"075198":[],"075239":5,"075289":5,"075298":[],"075302":11,"07531349":[],"075356":[],"075385":[],"075392":[],"075463":[],"075513":11,"075522":[],"075557":[],"075602":[],"075615":[],"075771":[],"075794":[],"075816":29,"075822":[],"075842":5,"075876":5,"075885":25,"075889":29,"075909":[],"075956":[],"075978":5,"076066":5,"076071":5,"076091":[],"076138":[],"076150":29,"076161":[],"076167":[],"076232":5,"076244":[],"076259":[],"076321":5,"076333":[],"076351":[],"076389":[],"076393":[],"076396":[],"076418":[],"07641937":31,"076434":11,"076435":[],"076436":[],"076448":5,"076459":[],"076479":11,"0764924":[6,30],"076508":11,"076542":[],"076618":[],"076638":[],"076648":11,"076679":11,"076693":[],"076776262573027":[],"07678":9,"076833":[],"076857":[],"076859":[],"0768805855280187":[],"07692307692307693":9,"076934":[],"076938":[11,29],"076947":11,"076968":[],"077035":5,"07712197e":[],"077141":[],"077168":29,"077226":[],"077248":[],"077280":5,"077301":[],"077304":[],"077329":[],"077341":[],"077382":[],"077391":5,"07740964":25,"077411":[],"07745579":22,"077460":29,"077485":11,"077486":[],"077516":[],"077529":[],"077539":[],"077553":[],"077567":[],"077601":11,"077613":[],"077653":[],"0776532":[],"077683":[],"077736":[],"077745":11,"07776381":11,"077764":11,"07777777777777778":1,"077813":11,"077839":11,"077906":[],"077941":[],"077965":[],"078035":[],"078044":11,"078071":[],"07808426989543932":[],"078110":29,"078118":[],"078123":11,"078146":11,"07820":9,"078210":[],"078238":[],"078268":11,"078282":[],"078284":[],"078313":[],"078324":[],"078336":29,"078359":5,"078363":[],"078386":[],"078447":[],"078540":29,"078541":11,"078544":[],"078557":[],"078573":11,"078588":[],"078636":[],"07864":9,"078684":[],"078688":11,"07871":9,"078731":[],"07890044":[],"078945":5,"078974":29,"078981":[],"078986":29,"079002":5,"079027":[],"079030":5,"079074":[],"079089":[],"079107":11,"079174":11,"079202":11,"079240":5,"079334":[],"079347":[],"079391":[],"079420":[],"07944154":[22,28],"079444":[],"07950356694388497":[],"079510":[],"079670":5,"0796891867672603":[6,31],"079739":[],"079747":11,"07974741":[],"07978850553011713":[],"079887":[],"079903":[],"079946":29,"079947":[],"079953":[],"079959":[],"079976":5,"079977":[],"07998756":[],"079989":[],"079998":[],"08":[9,25,29,33],"080082":[],"080094":5,"080171":[],"080205":[],"080222":[],"08023512":33,"080316":[],"080345":11,"08043851":5,"080453":[],"080549":5,"080555":[],"080616":29,"080630":[],"080657":[],"080702":[],"080706":5,"080747":[],"080764":29,"080832":[],"080903":[],"080947":[],"080987":[],"081038":[],"081103":[],"081195":[],"081217":5,"081221":[],"081235":[],"081252":[],"081276":29,"08131003":6,"0813156":[],"081431":[],"081457":[],"081494":[],"081527":5,"081544":[],"08156108":[6,30],"08165104":29,"081655":29,"081686":5,"081728":[],"08179906":[],"081835":[],"081871":[],"081955":[],"081978":[],"082115":[],"082126":[],"082170":[],"082173":[],"082174":[],"08227668":[],"082303":[],"08233627":[],"082464":[],"082482":[],"08251519":[6,30],"082518":[],"082519":[],"082533":5,"082653":29,"08266769":28,"082742":5,"082764":[],"082784":11,"082785":[],"082803":[],"082857":[],"082971":[],"08299273e":[6,30],"083016":11,"083119":[],"0831367":[],"083179":5,"083182":[],"08318298e":1,"083248":[],"083259":[],"083260":11,"083268":5,"083288":[],"08333333333333333":9,"083342":11,"08336233266":4,"083446":[],"083465":[],"083471":[],"083479":[],"083499":[],"083501":[],"083527":29,"083547":11,"083548":5,"083564":[],"083734":[],"083765":[],"08376632":[6,29,30],"083766322923899":[6,29,30],"0837663229239043":[6,29,30],"083793":[],"083864":[],"083900":[],"08398399377155011":9,"084018":[],"084042":[],"084076":29,"084091":[],"084122":[],"084218":11,"08421808":11,"084255":[],"08426840630693411":[6,31],"08426840630693413":[6,31],"084312":11,"084319":[],"084358":[],"084376":[],"084406":[],"084434":[],"084514":[],"08455":9,"08458591":28,"084619":[],"084637":[],"084695":[],"084702":[],"084712":[],"08474":9,"084809":29,"084910":[],"084915":[],"084963":5,"084967":[],"084996":[],"085079":[],"085120":[],"085139":[],"085145":5,"085222":[],"085294":[],"085353":[],"08536248571780691":5,"085390":[],"08539155":33,"085392":[],"085436":[],"085455":[],"08551306":[6,30],"085518":[],"085548":[],"085592":[],"08576932":6,"085853":5,"085918":[],"08593216":[6,30],"085973":[],"085996":[],"086026":[],"086068":5,"086095":[],"086096":[],"08611111111111111":1,"086125":[],"086212":[],"086230":[],"086239":5,"08624193":[],"086250":[],"086286":[],"086318":[],"086346":[],"086364":[],"086428":[],"086483":5,"08660891":[],"08667591":[],"086694":[],"086712":[],"086730":[],"086799":[],"086808":[],"086809":[],"08687303":33,"08690":9,"08690184845323":11,"086913":[],"086970":[],"08699295e":[],"087210":[],"087424":[],"087429":5,"0875061":[],"08758":9,"08758013":[],"087864":[],"087871":5,"08793554992813543":[],"087988":[],"088023":[],"088029":[],"088030":[],"088038":[],"088102":[],"088127":[],"0881981":5,"088199":[],"08826182458028335":[],"088375":[],"08839544":[],"088574":[],"088651":[],"08871404":5,"08881497884574564":29,"08888888888888889":1,"088970":[],"08902":9,"08931169286872433":[],"08935132374099551":[],"089376":[],"0894015":[],"089404":[],"08946029":[],"0895387":29,"089539":29,"089548":[],"089578":[],"089600":[],"089619":[],"089626":5,"089718":[],"08996":9,"089996":5,"09":[1,29],"090033":[],"090038":[],"09028702":[],"090439":[],"090440":[],"090468":[],"09048717285916912":22,"090624":[],"09070064":22,"0907958":[],"090985":[],"091015":[],"091068":[],"091159":[],"09135059e":[],"091362":5,"091365":[],"091388":[],"09156055":[],"09163947":6,"09166666666666666":1,"0917":9,"09171886":[],"091731":[],"092252":[],"092347":[],"092401":[],"09246293455466892":28,"092486":[],"09251":9,"092607":[],"092608577084595":[],"09291556244521161":[],"09291806":[],"092956":5,"092982":[],"0930438":[],"093094":[],"09346106":[],"093554":[],"09368":33,"09398153":[],"094044":[],"0940821989627646e":[6,30],"0940821989652176e":[6,30],"094099":[],"094254":[],"094362":[],"094439":[],"09444444444444444":[],"09487358":22,"09529067":[],"095465":[],"095805":[],"09590269e":29,"09604976":[],"09609807":5,"09610694":25,"096270":[],"096365":[],"096511363983559":[],"0973900819831327":25,"0974119":22,"09744":9,"09755017":[],"09780":9,"09790216282081063":[],"09791":9,"09808622":[],"09829902":25,"098414":[],"09846933":[],"09861229":[22,28],"09903804":8,"09913654":[],"09919198949275869":[6,31],"09928714":22,"09951287404314545":1,"0n":[0,28],"0x0006":[3,4,14],"0x11f13fb20":33,"0x120cc1b20":[],"0x121cf68e0":[],"0x1273ffac0":[],"0x1279bd460":[],"0x12e13a850":33,"1":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,19,22,24,25,26,27,30,31,32,33],"10":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,22,23,24,25,26,28,29,30,31,32,33],"100":[0,1,2,3,4,5,6,8,9,10,11,13,14,15,16,17,22,25,26,28,29,30,31,32,33],"1000":[0,1,2,4,5,8,11,13,14,21,25,28,29,32,33],"10000":[2,5,6,10,11,13,25,30,31],"100000":8,"10001":10,"100083":[],"10008326":[],"1000911":[],"1001":[9,25],"1002":25,"10029389":33,"1003":25,"10030":9,"10036694":[],"10041812":30,"1005":25,"1007":31,"1007711427354898":[6,31],"1009":25,"10107914":25,"1011":25,"101150":5,"10115017":5,"101263":[],"1013":25,"1013904243":25,"10141413e":[6,30],"1015":25,"1015491":33,"1015am":28,"1023":25,"10230":9,"1024":3,"1026":25,"1027":25,"103":1,"1030":25,"10340":9,"1037":25,"10378326e":1,"1038":25,"10391807":[6,30],"10398646080125032":[6,31],"10398646080125035":[6,31],"1040":25,"10405456":11,"10430":9,"104411":29,"1047":25,"10499357":33,"105":30,"10520":9,"10539984":[],"105400":[],"10541723644166373":[],"10555555555555556":1,"10572":31,"10589577":5,"10595991":[],"10604579e":29,"106095":[11,29],"1064601390492845":25,"10646014":25,"10719554":[],"10747579":5,"107476":5,"1074792":[],"1079":31,"10790125813226321":29,"108":[6,9],"10837392":22,"10913":6,"10931453":[6,30],"10960":9,"10994958":[],"10th":9,"10x":[0,28],"11":[0,1,2,5,6,7,8,9,10,11,12,13,15,16,22,23,24,25,26,27,28,29,30,31,32,33],"1100":25,"1101":25,"11022302e":5,"11042239":[],"11081083":[],"1108407":[],"111":[1,7,12,32],"11100":9,"11113486":11,"111135":11,"1118933":22,"11202337":31,"112383":[11,29],"1124":9,"112619":[],"11261935":[],"11265643e":29,"11277166":5,"112772":5,"11382896":30,"11388888888888889":[],"11390":9,"114384":11,"11438414":11,"11439407":[],"114550":31,"11462415":5,"11482289e":[6,30],"1148541":[],"11507992e":1,"115356":[],"11535632":[],"11547777218872497":[6,31],"11548661":[],"115822":6,"11590":9,"11596834":[],"11660":9,"11666666666666667":1,"11694":23,"117":8,"11715109e":29,"11744554e":[6,30],"11747908":22,"11780":9,"118":[0,2,7,32],"11830757":30,"118318":29,"1184":31,"11840":9,"11844773":[],"11868033":[],"11890":9,"119":[0,2,7,32],"11922031":[],"11930916":28,"11992194":11,"119922":11,"119936":2,"12":[0,1,2,3,4,5,6,7,8,9,11,12,22,25,27,28,29,31,32,33],"120":[0,2,3,7,32],"1203":9,"1203284":8,"120435":5,"12043521":5,"12044974":29,"120450":29,"12081773":33,"121":[8,9,10],"121292":[],"1215pm":[26,28],"12182967":[6,30],"122":[2,8,9,10],"12222222222222222":1,"12235593":[],"123":2,"12318726e":[6,30],"12330033":29,"12333649":[6,30],"12363332":22,"123711":6,"12380":9,"12382443":[],"124":[0,28],"12400":9,"1242":8,"124228866018077":[],"12466453":33,"12498355":[],"12536737":33,"12552073e":[6,30],"12591227":29,"126":9,"1261":9,"12618549":5,"1265":9,"127":4,"1271":6,"12777777777777777":[],"12790":9,"128":[3,4,13,33],"12829994e":29,"12846660e":29,"12871842":29,"129012":6,"12952339":30,"12957454":25,"1297":9,"1298":9,"129963":31,"12it":[],"12pm":[26,28],"13":[0,1,2,5,6,7,9,11,12,18,22,25,28,29,31,32,33],"130":9,"13003291":[6,30],"13024288":[],"13035147135400782":11,"13040489":25,"13055555555555556":[],"13055762":[],"130694":29,"13069442":29,"131":9,"13134148011170077":[],"13137881":[],"131379":[],"13152828":[],"13164176":28,"132":9,"13220608e":[6,30],"1325":6,"1326":9,"1326197715":28,"13280":9,"133":[7,32],"1332":31,"134":30,"135":9,"1350":31,"13535942":[6,30],"13564988":28,"136":[0,7,32],"13600596":[],"13607502":[],"13646574":5,"13661243e":[6,30],"13663125":28,"13675593":[],"136756":[],"13679863":[6,30],"13699574":[],"136996":[],"137":[0,7,32],"13729154":28,"13740":9,"137652":[11,29],"138":[0,7,32],"13819592e":29,"13820":33,"13825388":[],"13847167":[],"1385":6,"1385510301651882":[],"13865173":5,"138775":[11,29],"1388888888888889":[],"13890":9,"13896095":28,"139":[0,7,32],"13911934":25,"13913033":[],"139224":[],"1392559585020426e":[6,30],"139255958997547e":[6,30],"13956654":[],"13it":[],"14":[0,2,4,5,6,7,8,9,10,11,12,22,25,27,29,31,32,33],"140":[0,2,7,9,32],"14021063":[6,30],"14046224e":[],"141":[0,2,7,32],"14100":9,"14104212":25,"1412":33,"14122256":[],"1416398":[6,30],"14174745":[6,30],"1418":9,"142":[0,7,9,32],"14213876":[],"14250":9,"14260706":[],"14277718e":29,"143":[0,2,7,9,32],"14369927":[],"1437":1,"144":[0,7,32],"14400":9,"1440501043841336":1,"1441031":[],"14440":9,"1446729567":4,"145":2,"14523337e":[],"14550854":11,"145509":11,"14568914":30,"14599499":[],"146":2,"14629156":31,"14638":33,"14643345e":[],"14708":[],"14710":9,"14716":6,"14722222222222223":1,"147400":[11,29],"147420":[11,29],"147545":6,"1477190177681485":[],"147836":[],"1479":9,"148":[3,4,14],"14812206":6,"14824254":[],"14825560e":29,"14828178":22,"14829228":[],"14841322":28,"14880915":33,"1488598":[],"149063":[],"149266":6,"14934258650797513":[],"149353":31,"149388":[],"149466":[],"149483":[],"149904":[],"149921":[],"14g":[6,31],"14it":[],"15":[0,1,2,4,6,7,8,9,12,13,15,16,17,25,28,31,32,33],"150":[3,4,8,9,14],"15005476":5,"150527":[],"15079545":[],"15098090e":[6,30],"151":[3,4,14],"15130074e":[6,30],"151522":[],"15173932":[],"152":9,"15200":9,"15202654":[],"152494":6,"1527777777777778":[],"15283463":[],"153":[3,4,14],"153036":29,"15313054":31,"15384615384615385":9,"154":[3,4,14],"155":[3,4,9,14],"15546887":[],"15593478":[],"156":[3,4,14],"15605625":[],"15670921":33,"1567286":33,"156956":5,"157":[3,4,14],"15709522":[],"157128":[],"1571284":[],"1575":9,"158":9,"15830902":33,"15833751":[],"1587":9,"1590":9,"15924557e":29,"15951871":33,"1598058":[],"15990":9,"15991124e":[],"15am":28,"15g":[6,31],"15it":[],"16":[1,2,3,4,5,6,8,9,10,19,25,28,29,30,31,33],"1603":3,"16063661":[],"16111111111111112":1,"16118615":[],"16158074":[],"161581":[],"16172219e":[],"16188604":[],"16201555":[],"16211139":5,"16220":9,"162246":5,"16231451":4,"1625":9,"1628":9,"16292908":22,"16304863":29,"163049":29,"1630775253":1,"16312434e":[],"16342407":5,"16343471":[6,30],"1636508":[],"16384":3,"16407038":28,"16411163":[],"164112":[],"16431956":[],"16500":9,"165272":[],"16535252":28,"16567361":[],"166":9,"1664372":[],"166540":[],"16654048":[],"16710567":28,"16777789":22,"167787":5,"16791183":22,"168":9,"16805821e":[6,30],"16879134":[],"17":[1,2,5,6,7,8,9,13,22,25,29,31,32,33],"17021424":25,"1709":9,"171":30,"171525":29,"1715252":29,"17174962e":1,"17214545":22,"17222222222222222":[],"1726":9,"17260271":[],"17272182":25,"17300":9,"1731":9,"1732863504708044":[],"17367225":[],"17377547":[],"17405911e":[],"17446471":6,"17483760":31,"175":31,"1752":9,"175300":29,"17547294e":[],"17563274":[],"17567503":[],"17641709":[6,30],"17643975e":29,"176762":[],"17676247":[],"1767857":28,"17739525":28,"17748881e":33,"17777777777777778":1,"17801022":5,"17834506e":[],"17856374":[],"17861098":6,"17861414":[],"17869861e":29,"179":[],"17913653":[],"17917768":5,"1793417":[],"17934801":[],"17949575":5,"17953942":11,"1797":[1,3],"18":[2,6,7,8,9,10,13,25,31,32,33],"180":2,"1801709":30,"18019623e":[],"18029127":5,"18043393":25,"1807":4,"1808228":33,"18085537":[],"1809":9,"18093549":33,"18094575":[],"181":9,"1810415856976313":[],"18118338":[],"1812":9,"18120973":[],"181210":[],"18147009":[],"181766185664273":[],"182086698929565":[],"1821":9,"18234308":[],"18277213":[],"18285689e":[],"18307821":30,"18333333333333332":[],"18383522":29,"18388":6,"184":9,"1840":31,"18409254":[],"18418938":[],"184519":29,"18485685":[],"184866696796263":[],"18497496":11,"184975":11,"185":30,"18501900e":29,"18510775":[],"1860":9,"18611111111111112":[],"18613217e":[6,30],"18660":9,"18670072e":29,"18673098":11,"18702469":22,"18742521":[],"18816387":[],"18824338":[],"18840034e":[],"189496":29,"189622":29,"19":[2,6,9,15,25,28,31,33],"19009085621304586":[],"190529":[],"19052935":[],"19069576e":33,"19166666666666668":1,"192":31,"19207979":5,"19220":9,"19299283":[],"1940":0,"194042826649355e":[6,30],"194042826815211e":[6,30],"1943":12,"19433318":[],"1944":6,"19547923":[],"19559737e":29,"1956":9,"19569961":[6,29,30],"19588651":33,"19661197":33,"19677112":[],"1970":[22,28],"1973":9,"197370":[11,29],"19740":9,"1979":[6,31],"19791352":[],"197914":[],"19800":9,"19849513":28,"19852045":[],"1_1":12,"1_2":12,"1_3":12,"1cm":[0,8,10,25,28],"1d":[1,2,3],"1e":[1,2,4,13,14,33],"1e10":14,"1e4":6,"1f":1,"1k":22,"1n":[0,28],"1x":[0,28],"2":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,19,21,22,23,24,25,27,31,32,33],"20":[0,1,2,6,7,8,9,13,19,25,26,28,30,31,32,33],"200":[0,2,3,4,8,9,10],"2000":[0,29],"20015436":6,"2004":[13,32],"20051449":[],"2006":27,"2008":28,"2010":1,"2011":1,"2014":4,"2015":1,"20158083":5,"201581":5,"2016":[0,28],"2018":[0,6,29,31],"2019":[8,9],"2021":[6,14,29,30,32],"20218457":[],"2022":28,"20228273":[],"2023":23,"2024":[15,16,17,18,19,20,28,29,30,31,32],"202698":[],"2026985":[],"2027":9,"20277777777777778":1,"20347912":[],"20357736":[],"20367355":22,"20375464":[],"204049":11,"20404927":11,"20480187":[],"204802":[],"20500":9,"2060":9,"20601797e":29,"20608548e":29,"20651434":[],"206664":5,"20666447":5,"2069":9,"20728198":[],"207545":[11,29],"20755569":[],"2077068":[],"20775115":[],"20833333333333334":1,"20834188":[],"20867052175034223":[6,31],"20912557":[],"20916295":29,"20980":9,"21":[0,1,2,5,6,7,9,12,13,22,28,29,31,32,33],"210340":[11,29],"21058097":5,"21070843":28,"21093775":6,"211":[],"21130":9,"2116753732":4,"21169159e":[6,30],"21192602e":[],"212":[],"21277816e":29,"213":[],"213103":[11,29],"2131067":22,"21332621":0,"21333766":28,"213743":[11,29],"21390371e":[],"21430643e":33,"21444055":25,"21517262":6,"21531156":[],"21565007e":29,"21596432":6,"2160073466353432":[],"216290":[11,29],"21631786":28,"21655059e":29,"216683":[11,29],"21680864":[],"21699817":[],"21805426":[],"21813899e":[],"21998973":[],"22":[0,1,2,5,6,9,12,13,22,28,29,31,33],"22044605e":[5,29],"221":8,"221180":29,"2216":9,"221666864828611":[],"22169087":[],"2218":9,"221805":2,"221921":5,"22217237e":29,"222400":29,"22467274":31,"225":4,"22528536":[],"2257449":[],"22592946e":[],"226014":[],"22601408":[],"22667819":[],"22688898":[],"22690428":5,"22755839e":[],"22810365":[],"228104":[],"22842468702219465":[6,31],"2284246870221947":[6,31],"22847924":5,"22849742":[],"22871":33,"22919456":[],"2293":2,"2294":2,"2296":2,"2297":2,"22977659964799":[],"2297766":[],"22it":6,"23":[1,2,6,9,12,15,20,22,28,31],"23002365e":[6,30],"23076923076923078":9,"23093598e":[],"23139242":[],"23164401":[],"23167717":5,"232435":29,"23303727":22,"23333333333333334":[],"23344210e":29,"2338675":29,"233868":29,"234":6,"23423987":[],"234496":5,"23449607":5,"23472994":[],"23481471":28,"2351":6,"23526911":[],"23528337":31,"235969":[],"23596934":[],"2364":9,"23663482":22,"2373286546935638":[],"23794815":25,"23847441":[],"239":31,"2397":9,"23971032":29,"23994188e":[],"24":[0,1,6,9,22,28,31,33],"2401":23,"24032019":[],"24071032":[],"24106503":33,"24140":9,"24159785":29,"2416":9,"24175744e":[6,30],"2419":9,"24224776e":[],"24254071":[],"24284399":[],"2430":9,"24346138":25,"24369936":[],"24377554":[],"243776":[],"24390":9,"24398826":[],"24433117":[],"24444444444444444":[],"24454968":[],"24485814":33,"24493666":31,"246":2,"24602146":33,"24613581":28,"24640494":33,"24688853":[],"24692014":[],"2475908482537097":[],"24759085":[],"24768421e":33,"24780663":22,"24829908":5,"24856992e":[],"24906604e":[6,30],"24it":[],"25":[2,3,4,5,6,8,9,11,22,23,29,31,33],"250":[2,4,7,9,32],"25000":0,"25185716":30,"251879":29,"252008":5,"25200841":5,"25233253":[],"252333":[],"252436":29,"25343155":31,"253891":[],"25389111":[],"25458506e":[],"2546186":[],"254619":[],"2546817701709956":[],"255":3,"255001":29,"25512598":[],"25555619":[],"256":[2,4],"25617655e":[6,30],"25617658e":[6,30],"25673276":[],"256733":[],"25695398":31,"25705685":[],"2572":9,"2575":9,"25879315330607":11,"259153":[11,29],"2597":9,"25970297":[],"25986026":[],"25989189":[],"26":[6,9,16,25,31,33],"26001134":25,"26048873":[],"26113912":[],"26124692":6,"26152075":28,"26254957e":29,"262648":[],"26264849":[],"26281735":33,"26292364":31,"26297455":29,"26301436":5,"26307235":[],"2630723514841553":[],"26321660e":29,"26378176e":[],"26409315307910025":[6,30],"2640931530791004":[6,30],"26464303e":[],"26479234":[],"2650":9,"265109911":4,"26527089":22,"2654":9,"265868":[],"26586817":[],"2662452":[],"2666905":28,"26680052":[],"266801":[],"26710969":5,"26715191":[],"26775644":[],"26780278":5,"268":9,"26814548":6,"26817703":[],"26995402":29,"27":[0,1,6,20,31],"27065633":30,"271260217275557":25,"27126022":25,"27231287":28,"27352535e":[],"27470622":33,"27482829e":29,"2750":9,"2751616":[],"27597777e":[],"27600259":[],"27602210e":[],"27623637":[],"276263":[11,29],"27700":9,"27760":9,"2781456":[],"27861634e":[],"27924636":5,"27933134":22,"27it":[],"27n_":25,"28":[1,3,4,6,9,31,33],"28000355":[],"280004":[],"28021598":28,"280573":5,"280647":[11,29],"28109198":[],"2813829":[],"28183460e":[],"28205578e":29,"28253033":22,"282727":[11,29],"2830637392":4,"28316949":[],"28336218e":[6,30],"28390":9,"28391978":29,"28399125":[],"28415767":[],"28443039":31,"28457291":[],"28475098":8,"28496213":28,"28542801":[],"2861":25,"2871":9,"2873":9,"2876045":[],"2882":25,"2885519":[],"2886":25,"2890":[0,28],"2892":25,"28923":[],"28956161":[],"2895786617507":11,"28it":[],"29":[2,6,9,31,33],"29015871":[],"29033075e":[],"29100624e":[],"291056":[],"2915":25,"29167186":5,"29223521":[],"29238145":[],"29253213e":[],"29306584e":29,"2931":28,"29350":33,"29390668":[],"29398019":[],"29491144e":29,"29541992e":[],"29620357":[],"29653038":33,"2968":28,"297648":5,"29764815":5,"2976637":[],"2980":28,"298037":[],"29803738":[],"29822833":[6,30],"29860173":33,"2986082":[],"29861395":[],"29881308":[],"2990":28,"29902518":33,"299748":29,"2_":12,"2_1":12,"2_2":12,"2_3":12,"2_i":12,"2_m":[6,25,31],"2_t":[13,33],"2_x":25,"2b":25,"2c8f433990d1":33,"2cm":8,"2d":[1,3,11,12,21,28],"2e":[6,31],"2f":[0,7,9,10,11,12,28,29,32],"2g":2,"2g_i":2,"2k":3,"2m":[6,31],"2n":[0,2,3,28,29],"2nd":9,"2p":25,"2pm":26,"2pt":4,"2x":[0,3,8,13,28,33],"2x_ix_jy_iy_j":8,"2x_j":8,"2y_i":10,"2y_j":8,"3":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,21,22,23,24,25,26,30,31,32,33],"30":[0,1,2,4,6,7,9,10,13,16,26,29,31,32,33],"30000":[0,28],"30005983":[],"30010":9,"300231":5,"30023144":5,"30119421":8,"30124108":[],"30190897":11,"301909":11,"302":31,"30258509":[22,28],"30269539":22,"30283188":30,"303":6,"30306759":33,"30334592e":[],"30387411e":[],"30400113":[],"30442964":29,"30466214e":[6,30],"30506075e":[],"30607268":33,"3072":3,"3076923076923077":9,"30787294":6,"30915293":[],"309153":[],"30916988":[],"309170":[],"30940":9,"3096154":[],"30982436":[],"3099":31,"30it":[],"31":[2,12,22,25],"310579":29,"3105791":29,"310957":[],"31095745":[],"31160886":[],"31162122":[],"312":30,"31227657e":[],"3123314713548606":[6,31],"31248425":33,"31276579e":[6,30],"313":30,"313155":11,"31315504":11,"31318084":5,"31453949":[],"31457796":5,"314869":[],"31486917":[],"315":[6,30],"3155":[0,5,6,30,31,32],"31555734196707536":[],"31571995":[],"316":30,"31664443e":33,"31718909":11,"31727523":[],"317367":11,"31849289":28,"31876431e":[],"31896852":8,"31936237":[],"3194467":[],"31it":[],"32":[2,3,4,6,8,12,13,22,25,33],"3200":1,"32003025":[],"320656":[],"32065614":[],"32068736":28,"3207":31,"32084559e":29,"32149601703519115":[6,31],"3214960170351912":[6,31],"3215":9,"323059":5,"32305911":5,"323184775146844":[],"32318478":[],"32393078":[],"324":2,"32419549":[],"3241988":[],"3245":2,"32450054":29,"3250":1,"325228546249804":[],"32522855":[],"3260513":[],"3262":6,"326238":29,"32641434":28,"32651488":[],"32684035":[],"32733949":[],"3280928":[],"328093":[],"32906581":[],"32932635":[],"32it":6,"33":[9,12,22,26],"33000573":28,"33006628":33,"33025801":[],"33049619":25,"33062878":[],"330629":[],"33066907e":[5,29],"33096549":22,"33107417":[],"33145794":[],"33166055e":5,"331939":29,"33212971":[],"33217312":25,"33220123":[],"33235647":[],"333":[7,32],"33532886":28,"33596404":[],"33615742":[],"33675308":[],"33734605":22,"33742926":28,"33826500e":[],"3388112":[],"33978889":33,"33it":[],"34":[9,22],"340071371496255":29,"34026086":[],"3403":9,"340782":[11,29],"34114547":5,"34225662":22,"342680":29,"34271514":[],"34332677":[],"34346829":[],"3436":[0,28],"34367970":6,"3437":[0,28],"34412923":29,"344176915013831":[],"34427423":[],"34483937":[],"34483955":28,"34568909":[],"34569596":5,"34598722":22,"34599598":[],"346000154268618":22,"34620097":[],"34654596":[],"346546":[],"34661376":[],"346614":[],"3480527":25,"34904819":[],"35":[0,6,17,23,26,28],"35018806":[],"35098705":[],"35140":9,"3514835":[],"351636":[11,29],"35182854":5,"35196964":[],"35243372":[],"35275513":[],"35320952":[],"35354073":[],"35432563":[],"3544313922":6,"35470445e":[5,29],"35506347e":29,"35520169":[],"35533773":6,"35537114e":[],"35613536e":29,"356399":29,"356673":[],"35667342":[],"35714377":[],"35731585":28,"35736":33,"357508":29,"3581341341":4,"35870701":25,"359":[5,30],"35957915":[],"35966688":[],"35980374":28,"35986305":[],"35it":6,"36":[0,5,6,23,25],"360":1,"36091273":[],"3613":9,"361541":5,"36154104":5,"361556":29,"36185989":[],"3621311":5,"36235052e":[],"36303682e":29,"3632959111950474e":[6,30],"363295916366933e":[6,30],"36339156":[],"36353321":28,"36482524":[],"36545697e":[],"3655222":5,"366375489616074":[],"367":[2,9],"36880327":22,"36895644":31,"369139":[11,29],"36it":6,"37":[9,23,32,33],"37013105":22,"37055062":[],"370782966":4,"37093787":[],"37135473":[],"37153115":28,"37175575":33,"37239927e":29,"3727791":28,"37396662":[6,30],"37415625e":29,"37449168":22,"37454707":22,"374675":[],"37467515":[],"37532078":[],"37582891":[],"375829":[],"37600869":28,"37685349":[],"37700967e":29,"377372":29,"37737221":29,"3777801602":6,"378271":[],"37827145":[],"37837864":[],"37900111":[6,30],"37919989":28,"38":[0,9,23,25],"380":9,"38102552":[],"38135733e":[6,30],"3817475779":[6,31],"38198866":28,"38203725":[],"38259084":33,"38298234e":29,"38337498":[],"38381781":[],"38399622":[],"38440469":[],"38460453":22,"38461538461538464":9,"38461539":33,"38592549":25,"386":9,"38612299e":29,"386161":[],"38616125":[],"38618024":[],"38629436":[22,28],"387":31,"387620":11,"38762019":11,"3882273":[],"38827994":6,"38865681e":[],"38916861e":[6,30],"3892":31,"38934047":28,"38962192e":[6,30],"39":[0,9,26,28],"390334838933238":25,"39033484":25,"39039235":22,"3908470004999506":[],"39090680e":[],"3910042":28,"39197698":29,"391977":29,"39214397":29,"392144":29,"39223923":[],"39279291":28,"39398622":[],"394":9,"39517073":[],"39525059":[],"39540235":[],"39579407":5,"395980256477532":[],"39598026":[],"39614949":[],"39621036e":[],"39692815":[],"39706038":5,"397700":[11,29],"39789527":[22,28],"3983":6,"39855569":[],"39865452":[],"39922082":[],"39929428":[],"39931051e":29,"39952356":[],"399836":29,"3d":[2,3,4,6,13,23,31,33],"3f":[1,3,9],"3n":22,"3x":[2,8],"3x_i":2,"3y":8,"3yk470mj5p931p9dtkk0y6jw0000gn":[1,6,28,31],"4":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,22,23,25,28,30,31,32,33],"40":[1,6,9,23,26,28,31],"400":4,"4000":[9,28],"40037367e":[],"40072098":[],"40093324":[],"40140374":[],"401842":[11,29],"40184681":22,"40266454":[],"40354798e":29,"40415979e":[],"40418675":[],"404783":[],"40478305":[],"405":9,"4050":[27,28],"405890":[11,29],"405964":[],"40596423":[],"40620066":29,"406201":29,"40632663":[],"4069157":[],"407":9,"408":9,"40833375":[],"4087":9,"4087793":5,"40927184e":[6,30],"40it":6,"41":[2,9,22],"4107":9,"41146753":28,"4121966338442804":[],"41310208":[],"41366128e":[],"41408221":[],"41433969":5,"41487642":28,"41511965e":1,"4155":[2,15],"4162706317":6,"41636775":[],"41664613":25,"4166666666666667":9,"41675053":[],"41744203":[],"41764479":[],"417644792969273":[],"41820116":22,"41842093e":29,"418506":[11,29],"41869784":28,"41882037e":[6,30],"41925189":[],"41987877":[],"4198932":28,"42":[1,4,8,9,10,22],"42083463e":[],"42095725":28,"42124182":[],"4215795":22,"42197297e":[],"42305151":[],"4230769230769231":9,"42310878":25,"423646":[],"42364634":[],"42392359":[],"424274":[],"4242743":[],"42441033":5,"42450":9,"42553096":[],"42575338":22,"426":[6,9],"42774546":[],"42873361":28,"429":31,"42945319":[],"43":[0,1,7,9,22,32],"43054282":5,"4310":28,"433":31,"43330971e":[6,30],"43373107":[],"435163":29,"43563433":22,"43579948e":[6,30],"43639284e":29,"436462435":4,"43703545":[],"43727575":[],"43766686":11,"43779698e":[],"438060758":6,"438136":29,"439230":6,"43962226":[],"43976975777097144":[],"43984553e":[],"43it":6,"44":[0,1,22],"44089210e":[5,29],"441":[3,4,14],"442":[3,4,14],"442600":[11,29],"44286735":[],"443":[3,4,14],"443217":29,"44395301":30,"444":[3,4,9,14],"44418124":33,"44454123":28,"445":[3,4,14],"44536331":28,"44563226":[],"446033":31,"44624525e":29,"44658658e":29,"4477214":5,"44830934":[],"44838546":[],"44970586e":1,"44995924":22,"45":[9,26,28],"450":9,"450257":[11,29],"4504":9,"45053025":28,"45193407":[],"45430236":[],"455173":31,"45560415":[],"4557763":11,"455947":29,"456":9,"45620975":[],"457":2,"457311":[],"45731144":[],"45731379":22,"4576811":28,"45781905e":33,"458027":29,"458078":[11,29],"4580854":[],"4591127":22,"45915671e":29,"45960079":5,"45it":6,"46":[2,9,26,28],"460":[9,11],"4601":9,"46065811":22,"46086448":22,"46107913":[],"46134248e":[],"46153846153846156":9,"46170878e":33,"4619526":22,"462":[7,32],"46342934":[],"4635149":[],"46383925e":[6,30],"46383926e":[6,30],"46387965":[],"46415522":[],"46415888336127775":30,"46544987":[],"46593404":[],"46660941e":[],"46713267":30,"46736215":31,"4676059":29,"467606":29,"46891823":[],"46911594e":[],"46954702e":[],"46963249":[],"46984559":[],"46984697e":[6,30],"47":[2,9,26,28],"47042744":5,"47051432":31,"47052809":[],"470714":29,"47075725":6,"47116868e":[6,30],"47125748":5,"47132891":5,"4725246793626128":[],"4729218":[],"47297587e":[],"47313680":31,"47334547e":[],"47433659":[],"4745474":[],"47478922e":[],"47610036":6,"4761747":[],"47729832":[],"47757553":[],"47815203":11,"47823856":33,"47892661":[],"47910545":[],"479465113":4,"47989224":[],"47991892":[],"47it":6,"48":[2,9,31],"48004784":28,"48062913":[],"48151166":22,"48170743":[],"481979":6,"48200792":[],"48257387":[26,28],"48268005e":[],"48306473":[],"48307405":[],"4831139":[],"48326853":[],"48399942":[],"48420061":[],"4843772":28,"48476997":11,"484905":5,"48490503":5,"48494803":30,"48521055":29,"48697869":[],"486979":[],"48826894e":29,"48827791":[],"48843174e":[],"48867802":[],"48931464":[],"489315":[],"48994188":5,"48it":[],"49":[5,6,9,11,23,29,33],"49074536":[],"49123502e":[],"49152":3,"49156266e":[],"49211524":[],"49224801":[],"4937346":22,"49381549":[],"49392067e":29,"4940954":[0,28],"49470005":[],"49513019":25,"4951301940723654":25,"49584063e":29,"4959161509357395e":[6,30],"4959161509366685e":[6,30],"49611541":[],"4990":25,"49910481e":[],"4992":25,"49939493":[],"499394932852416":[],"4997":25,"49it":6,"4c4c7f":[9,10],"4d":3,"4f":6,"4pm":[26,28],"4y":8,"4y_i":10,"5":[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,22,23,25,28,29,30,31,32,33],"50":[1,2,3,4,6,7,8,9,10,13,28,29,31,32,33],"500":[1,3,4,6,9,10,13,31,32,33],"50000455":5,"50000553":5,"50000718":5,"50000855":5,"50000969":5,"50001063":5,"50001142":5,"50001207":5,"50001261":5,"50001306":5,"50001343":5,"50001374":5,"500014":5,"50001414":5,"50001422":5,"50001439":5,"50001454":5,"50001466":5,"50001476":5,"50001485":5,"50001492":5,"50001498":5,"50001502":5,"50001506":5,"5000151":5,"50001512":5,"50001515":5,"50001517":5,"50001518":5,"50001519":5,"50001521":5,"50001522":5,"50001523":5,"50001524":5,"50001525":5,"5018":25,"5020612":25,"50227564e":[6,30],"502698":[],"50269821":[],"50306335":[],"50321091":5,"50327198":22,"50427787":31,"50530832":31,"506":0,"50610071e":33,"506553":29,"50655336":29,"50667812":[],"50714096e":[],"5076963":22,"507d50":[9,10],"50846111e":[6,30],"50846112e":[6,30],"50850373":[],"50887105":[],"50911289":[],"50it":[],"50j":[13,33],"50x10":1,"51":10,"510":1,"5105332296929628":9,"51069279":22,"51104913":[],"51136852":[],"51154388":[],"5116375":[],"511888":5,"51317506":[],"51364117":22,"51374050":31,"514219":29,"5142856":[],"51437058e":29,"51447004":28,"51546825":28,"51564682":22,"51643579":[],"51659846":33,"51709529":[],"5177783846":4,"51858116":[],"51914183e":[],"51928402":22,"51937727":22,"52":[32,33],"52031552e":29,"52087499":[],"521422502348998":11,"521558":[],"52155823":[],"52173381":[],"5222222222222223":1,"52284329e":29,"52301447e":29,"52317963":[],"52362157e":29,"52397611":[],"52446101":25,"52573336":11,"52635761":22,"52654886":[],"52657934":22,"526744":[11,29],"52698542":[],"52706754":11,"527068":11,"52732966":[],"52780600":31,"52874252":5,"52876551":[],"52888979":[],"52989287e":[],"52it":[],"53":[9,32,33],"5303329":11,"53052247":[],"5305555555555556":1,"53105728":[],"53125507":22,"531280":29,"53149078":[],"532":[],"5321613":[],"53285379":[],"532854":[],"533":[],"53312817":28,"534":[],"535":[],"53512750e":[],"53534008":25,"53585173":[],"535852":[],"53629564":22,"53640693":[],"537":[],"53703498":6,"53723188":[],"53729411e":29,"53738247":31,"5378811":11,"538":[],"5384615384615384":9,"539":[],"539261":[11,29],"53942728":[],"53996947":[],"5399913":[],"53it":6,"54":[6,9,25],"540":9,"54011398":[],"54039921":5,"54041041e":5,"54057582":[],"541605":29,"54175461":33,"5426270409877345":[],"543939":29,"54393936":29,"5443909":[],"544439":29,"54490887":[],"54637219":31,"54725976":[],"54811237":25,"548263635652985":[],"54843215":[],"548432150659993":[],"54856099":[],"54873252":[],"54880148":[],"54921401":[],"54935794":28,"54it":6,"55":[1,9],"55020649":[],"551023":5,"55102329":5,"55179339":[],"55196383":[],"55386681":28,"55460327e":[],"55542568":[],"5555555555555556":1,"55582742":28,"5567":6,"55688514":25,"557795":[11,29],"55838":33,"55854694":11,"559791959661649":25,"55996153":[],"55it":[],"56":[1,9],"56033697":5,"56042437":[],"56072658":[],"561410":[],"56141009":[],"56198284":5,"56342158":[],"564":9,"56423957":[],"56423957069263":[],"564374":[11,29],"564759":[],"56475921":[],"56476512e":[],"565":9,"56536":[0,28],"56541622e":[],"56589683":31,"566":9,"56636616e":[6,30],"567":9,"56783103":22,"56790195e":29,"568":[9,31],"56832496e":[],"56857739e":[],"569":[1,9],"56912044e":[6,30],"56922102":28,"56939714":5,"56965674":31,"56967917":[],"56977352":[],"56it":[],"57":[0,8,9,26,28],"570":9,"571":[5,30],"571105947979344e":[6,30],"571105947979412e":[6,30],"57192197":[],"57201944e":[6,30],"57252451e":29,"57261202":[],"574465":[11,29],"57468142":28,"57492326":[],"57521514":[],"57584612":[],"575870409023631":[],"576":31,"5769230769230769":9,"57803254":28,"57819238e":[],"57847325":[],"57881465":[],"57886743":[],"57914918":[],"57933547":25,"58":[9,10,26,28],"58084123":[],"5833333333333334":9,"583595":29,"5847256":[],"58492636e":29,"58493493":[],"58493681":[],"58583003":[],"58589719":28,"58827236":6,"5888888888888889":1,"58890784":[],"58914105":[],"589841":[],"59":9,"59009792":11,"59078383":[],"590784":[],"591317992":4,"59184268":[],"59215613":[],"59244881":[],"59348521":[],"59354079":6,"59355752e":29,"59372982":22,"594241":[],"59424119":[],"5944444444444444":1,"59465457e":[],"59491404e":[],"59630232e":[],"59683811":[],"59698459":25,"59730078":[],"59779819":33,"59875207":[],"59884169":28,"59908884":[],"59963873":[],"59971727":[],"5cm":25,"5f":[8,33],"5x":8,"5y":8,"6":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,22,25,26,28,29,30,31,32,33],"60":[1,3,6,9],"60000":4,"60026673":[],"60041459e":[],"600529":[],"60052901":[],"60160003e":29,"6019067271":4,"6029291":[],"60293962":5,"60342978":31,"60375434":22,"6038642":[],"60418171":[],"60420593":5,"60451189e":[],"60543038":29,"60552651":[],"60588173":28,"60605083e":[],"606251":[],"60625144":[],"60664448":[],"60673226":11,"606760":5,"60762863":[],"60921896":[],"60929685":31,"60940356":[],"60943791":[22,28],"60999067":[],"61":1,"61069681":22,"61083596e":[],"61106937e":[],"6111111111111112":1,"61113781":[],"61192203":[],"61192712":22,"612939":29,"61321722e":[],"61325173":[],"613579":29,"61382924":[],"613893902124586":25,"61395701":[],"61414743":22,"61468323":25,"614808":[11,29],"6153846153846154":9,"61564092":[],"6156409232714415":[],"61602014e":[],"61621902":[],"61774362":[],"61775176":31,"618746":[],"61883807":[],"618982":29,"61979664e":[],"62":1,"6200":28,"6201":28,"6202":28,"6203":28,"6204":28,"62113349e":29,"621584":[],"62158409":[],"62275788":33,"62351789":[],"62373464":11,"625":[7,32],"62551462":25,"62573269":28,"62617788":22,"62620041e":[],"626635268":[6,31],"626678":[],"6266783":[],"6267112":[],"62725226":30,"628":6,"62863106e":29,"62886648":[],"62894215":5,"62905281e":[],"62908496":22,"63":[0,1,6,9,31],"63025821e":[6,30],"63030526":[],"63031478":[],"630315":[],"63037846":6,"63046054":[],"63071772":[],"63142399":28,"63162342":29,"63209435":28,"63249532e":[6,30],"63309898":[],"6333349473431832":25,"63490568":25,"63498144":5,"63555267e":[],"63619709":29,"6380763200092493":[],"6383903":28,"63896182":[],"638962":[],"6389681":[],"63898112e":29,"63919355":5,"639194":5,"64":[1,2,3,4,13,22,28,33],"64012627":5,"6401576":[],"6407249":[],"640x480":[6,13],"64316192":31,"64322974":[],"64361375":28,"64362404":[],"64373221":[],"64373635e":33,"64399916":[],"64411666":[],"64412879":[],"64425744":[],"64564368e":[],"646283":[11,29],"64713979":[],"64742912e":[6,30],"647473":[11,29],"64796751":28,"64857542":[],"64885265":22,"649":[],"64909048":[],"649382":[11,29],"64976691":[],"64x50":1,"65":[1,2,8,9],"650":[],"65082441":[],"651":2,"65183066":[],"651831":[],"652":2,"65293772":[],"653":2,"6533977":[],"653398":[],"6536392":29,"654":2,"65442354":29,"654424":29,"65475653":[],"655":2,"65543115":[],"65554958":[],"65571174e":29,"65591748":[],"65593984":[],"65599456":29,"656":[],"65641173":[],"6568154596723088":[],"6568686180915178":[],"65686862":[],"65720152e":29,"65738717e":29,"65743689":29,"658":2,"65833132":29,"65885453":5,"65889641e":[],"65891389":29,"658914":29,"659":2,"65900052e":[],"65917558":22,"65944342":33,"65it":[],"66":2,"660":2,"66018725e":29,"66063786":[],"66064822":29,"66080313":29,"66204648":6,"662836197064178":[],"66289235":[],"66294408":29,"6629598":[],"662960":[],"66365453e":[],"6638":9,"664314":5,"66431407":5,"66456459":[],"66487438":[],"66498292":[],"6652177":29,"66560":9,"6663569":[],"667":9,"6671767":[],"66729685":[],"66757105e":[],"66809369":[],"668172":29,"6690108":[],"67":[1,2,9],"6702":[],"67047975e":[6,30],"67088558":[],"67100236":[],"67231298":[],"67238764e":[],"672721":29,"672759":[],"67275915":[],"67313212":[],"67314874e":5,"67374815":22,"674":31,"67435043":25,"67464946":[],"67490857":33,"67495943":[],"67524588":22,"67561021":28,"67819487e":[],"67875366":[],"678754":[],"67it":[],"68":2,"6801":[],"68072161":22,"6809195":[],"680920":[],"68092237e":[],"6816947":[],"68192193":5,"68257097":[],"68286725":29,"6831505":[],"68352799":[],"68534263e":[6,30],"68542204":5,"68591105":[],"68637642":[],"68655456":22,"6869":9,"68735473":28,"68822559":[],"688226":[],"68826552":28,"68857788":[],"6887363571":4,"68879472":[],"68929213e":[6,30],"689519":[11,29],"69":[2,9,25],"690":9,"690617":29,"69069n_":25,"69089532":22,"691":[],"691364":[],"69136414":[],"69182892e":29,"69227923":[],"69230769":33,"6923076923076923":9,"69247718":22,"6927554":22,"69303453":[],"693035":[],"69391797":[],"69417174":[],"69435454":[],"69438869":[],"69465386":22,"69484813e":5,"69504801":6,"69515531":[],"69566966":28,"69634577e":[6,30],"69695259":5,"697346":[],"69734609":[],"69756791":[],"69768266":11,"6980":33,"6988905":28,"69903406":[],"69983227":[],"6999536":11,"69it":[],"6n_":25,"6pm":28,"7":[0,1,2,3,4,5,6,7,8,9,11,12,13,14,15,22,24,25,27,28,29,30,31,32,33],"70":[1,6,7,9,32],"7002164":25,"70037324e":29,"70039784":[],"701370":5,"70241548":[],"7026722043092946":[],"7029975":[],"70301068":[],"70362677":[],"70469324":28,"70474145":[],"70499955":28,"70514808":[],"70587399":[],"705946":[],"70594608":[],"70630967":[],"70653767":4,"70665448":[],"70704566":[],"7070883":28,"70710678":[5,29],"70711022":[],"7074705":[],"70832814":5,"70857635":[],"7086067479626619":29,"70928399":11,"709284":11,"71":1,"71142161":29,"711422":29,"7119":9,"712018":[11,29],"71261809":[],"7127128":28,"71332117":[],"713763":[],"71376303":[],"71384267e":33,"71441086":[],"71469351":[],"7150195":28,"71507714e":[],"71524686":[],"71582784":[],"71737253":29,"71761101":29,"718165":5,"71838601":22,"71860732":[],"7198234":[],"720889407643293":[],"72174172":11,"72236654":[],"72271878e":[6,30],"7228852":[],"72309979e":[],"7236674":5,"724":3,"72427854":[],"7249499":[],"725256":[],"7252563":[],"726017":[],"72601722":[],"72602818":[],"72710494":28,"72744372":[],"72770687":5,"727707":5,"72771857":[],"72848736":[],"72859758":5,"72952595":[],"72962885":22,"72964493e":[],"72981762":8,"72992196":[],"73":[6,9,31],"73018893":[],"73062648":[],"73063053":[],"73068535":[],"73071831":25,"731000":29,"73122034":[],"73176319":22,"73203674":[],"73252708":33,"73265885":33,"73305640e":[],"733096":29,"73337355":[],"73578772":[],"73595198":[],"73646130e":[],"73690387":33,"737184":[],"73718419":[],"73741131e":[],"73785069":[],"737851":[],"73958682":[],"73986200e":29,"73994248":[],"74":[6,31,33],"740":9,"74028787e":[],"7403629637766833":11,"74038232":[],"74075864":25,"74081822":8,"74171049":[],"74259663":[],"742597":[],"74272285e":[],"74291603e":29,"74384949":29,"74607851":29,"74613334":[],"74724414e":29,"74724774":33,"74829661":29,"74840212":5,"7487814387207385":[],"74878144":[],"74883972":[],"74900488":5,"74957448":[],"749765":29,"75":[5,6,8,9,11,23,29,31],"75018686":[],"750187":[],"75025744":[],"750445":29,"75050135":29,"75080943":[],"7509571":[],"7510197":[],"7511273":[],"75131415":[],"75138064":22,"751699":[11,29],"75170092":5,"75216828e":33,"75269037":29,"75300068":[],"7539148284817965":28,"75406226e":[],"75433448":[],"7546682196464342":[],"75532041":[],"75576555":29,"75600095":[],"756352":29,"75654448":[],"75677341":[],"756828":[],"75682834":[],"75760403":[],"7577":31,"75770568":29,"7577113351177733":[],"75956617":22,"76":[9,26,28,32,33],"76120718":[],"761574":[],"76157429":[],"76190591":30,"76262775":[],"76277254":[],"7642448":[],"764245":[],"765":[7,32],"76527062":[],"76533281":5,"765333":5,"7658599":[],"76612827":[],"766163196245293":[],"76686148":[],"76690383":31,"76692036e":29,"767367275553824":[],"76790092":[],"76807288":[],"76855921":22,"76887316e":29,"7692307692307693":9,"76936315":5,"76940759":25,"7694444444444445":1,"77":[9,26,28,33],"77030637":22,"771128":[],"77152076":5,"77152924":[],"7718":9,"77199379e":[],"772588722239781":33,"77352152e":[],"77354301":[],"774498":[],"77449804":[],"77465911":[],"77482712":[],"77507653":[],"77559615":[],"77636e":33,"77652198e":29,"77659961":25,"7766443":[],"77714169":8,"77725472":[],"777255":[],"77803692":[],"7782028952":4,"77845284":[],"77873845e":[],"77959897":[],"78":[],"78009660e":29,"78156479e":5,"78184120e":[6,30],"78186404":22,"78278086":[],"78326199e":[],"78671736":[],"78745927":[],"78758569":[],"78876155e":[],"78892891":[],"78941903":5,"79":[],"79111643":5,"79135536e":29,"79171202":22,"79247398":[],"79280475":[],"793167":29,"794282":[11,29],"79469098":[],"7953443":30,"79622905":[],"79623487":5,"796235":5,"79633065":31,"79718864":28,"79778008":6,"79787194":11,"797872":11,"797e":6,"79866484":[],"79870689e":29,"7989356":28,"79898903":22,"7d7d58":[9,10],"8":[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,22,23,25,28,29,30,31,32,33],"80":[0,1,5,6,8,9,29,30,31],"800":[4,7,32],"80056922":[],"801356":[],"8030191":[],"80354994":6,"80410179":[],"80413696":[],"80460179":31,"80469739":5,"8055555555555556":1,"80609615e":[6,30],"80609616e":[6,30],"80637385":[],"80740939":28,"80847477e":[6,30],"8084934":22,"80855691":[],"808557":[],"80907609":33,"80979265":[],"81":1,"81007381":28,"81042619e":29,"81048318e":[6,30],"81160425":5,"81218742e":29,"81246697":25,"81283649":[],"81318307":[],"8133":6,"81333808":6,"81425129e":29,"81479491":[],"81506255":[],"81559586":[],"815am":[26,28],"81622636":[],"81633628":11,"816454":29,"816847":29,"81839897":[],"81919129":[],"819253":[],"81925302":[],"81947005":22,"81979166":25,"82":[],"82060913e":29,"8207274870895702":5,"82079885":[],"82121282":[],"82161167":28,"82198978":5,"82242798":[],"8227":[],"8232102961414203":[],"823417":[],"82341746":[],"82376174e":29,"82418008":[],"82418352":[],"8244":[],"82533209":11,"82551764":22,"82559478":[],"82623709e":[],"8265786":5,"82688363":[],"82802004":[],"82832579":[],"82914126":[],"829252":[],"82925222":[],"83":2,"83020679":[],"8305555555555556":[],"83146596":31,"83369175":[],"83463634e":29,"83466807":[],"83512277":5,"83641435":33,"83655756":28,"83718206":[],"83823317e":29,"83870189":6,"8387133":[],"83884553e":[],"839957":[],"83995705":[],"84":2,"84159992":[],"842":[0,7,32],"8423144":22,"842436":29,"84254917":[],"843":[0,7,32],"84355903e":1,"844":[0,7,32],"84401886":5,"84443254e":1,"84478178":33,"8461538461538461":9,"84661230e":[],"84707251e":29,"84711297":[],"84726382":[],"84767088":[],"8476874":[],"84780262":6,"84789579e":[],"8485":31,"84858":31,"84862355":28,"8488":31,"84923989e":[6,30],"84972787":[],"84994524":5,"85":[1,9],"85005989":[],"85014487":[],"850164":5,"8505072899794293":[],"85064942":11,"85079059":[],"85108001":[],"85112594":22,"8517571":[],"85222243":[],"85259666e":[],"85263220":6,"85276538":22,"85278920e":5,"85293303e":29,"85378708":[],"85408468e":33,"85422602":[],"85551266e":29,"85601992":5,"85625134":28,"85711016":28,"85777073":[],"857771":[],"858":9,"8583333333333333":[],"85871255":[],"85945208e":29,"86":2,"86009093":[],"86016288":[],"86062977":6,"86066395":[],"86117291":5,"86123808e":[],"86134827":5,"86143379":[],"86145244":11,"86174943":[],"86192682e":29,"86197958":[],"86240935":[],"86247117":[],"86267497":[],"862675":[],"86273371":30,"8638888888888889":1,"86416941":[],"86445334":[],"86459987":28,"865":[0,7,32],"86519139":22,"866":[0,7,32],"86629161":25,"86630":9,"86643649":[],"8666666666666667":1,"867":[0,7,32],"86810":9,"86867512":11,"86891741":[],"8691787":28,"86978877":[],"87":9,"8702784034":4,"87068171":30,"87070464":[],"870704644539707":[],"87072815e":29,"87093752":[],"87148597":[],"87169607e":29,"87186187":25,"8720648":25,"8722222222222222":[],"87340054":[],"87381451":5,"87399194":[],"87494456e":29,"875":1,"87584434":[],"8759":33,"87627342":31,"87696461":[],"877":6,"87740526":28,"87788573":[],"87818331":[],"87878356":25,"87884833":[],"87981676":[],"88":[28,33],"88046261":5,"8805555555555555":[],"88135577e":[],"88157423":28,"88168312e":[6,30],"88182591":29,"88236598e":[],"8825782":[],"88289263":28,"88323026":29,"88336879":5,"8834":[],"88377332":[],"884669":29,"88501323":[],"88529063e":[6,30],"88551766e":29,"88613493":29,"88639567":28,"88653291":28,"88738394e":[],"88809826":28,"88860399":25,"8888888888888888":[],"88960947":[],"8896094720230128":[],"89":9,"890033":11,"89003324":11,"89017198e":29,"89058005":28,"8905826":[],"89126914e":29,"8917148":[],"891715":22,"89184351":[],"89288636":11,"8931686":33,"89408972":[],"89410423":5,"8944444444444445":[],"89457785":[],"89463761e":[],"89533642":28,"89540936":[],"8962":[],"89710385e":[],"89724282":[],"89766337e":[],"8978":[],"89845198":25,"8f":[6,31],"8g":[6,31],"8n":22,"8x8":1,"9":[0,1,2,3,4,5,6,7,8,9,11,12,13,14,18,22,23,24,25,26,28,29,30,32,33],"90":[0,1,6,9],"90075537":5,"9011":6,"90114639":28,"90135464e":29,"90220243":5,"90266948":5,"9027777777777778":[],"90304177e":29,"9040":9,"90475506e":[6,30],"9054":31,"9055555555555556":[],"906589":[],"9065894":[],"906747":5,"90717653":11,"907177":11,"90842732":22,"90860768":22,"90894281":28,"91":[26,28],"910":9,"91099021":[],"91100141e":33,"9111111111111111":[],"91114704":[],"91128596":5,"91270333":[],"91312563":[],"91365263":[],"91410559e":[],"91416944e":[],"91434750e":[],"91492986e":[6,30],"91546928":[],"91648657":[],"9166666666666666":9,"91669165":[],"916692":[],"91672129":28,"91722512e":[],"91760278":5,"91812702":5,"91854134":[],"918785":28,"918992":29,"91933003":22,"919503":11,"9195033":11,"91961463":[],"92":[6,9,26,28],"92192012":[],"9225384545636204":5,"9230769230769231":9,"92308867":[],"92341148":22,"924e":6,"925":1,"92507116e":1,"92512799":[],"92527681e":[],"92578916":5,"92599642":[],"92604454":[],"92622842":0,"92661467e":33,"9271707090281667":[],"92756256":30,"9277777777777778":1,"9288904":22,"92921498":25,"9305555555555556":1,"931":[0,28],"93155188":5,"93158979":5,"93237862":[],"932382":[],"93289669":[],"93293067":25,"933":[5,30],"93366198":[],"933662":[],"93397254e":[],"93492130e":[6,30],"93597168":[],"935972":[],"93601008e":29,"93619369":22,"93668828":[],"936877889972962":[],"937":25,"937057":11,"937082":29,"93787605":[],"93799826":5,"938":25,"9387":9,"93891335e":[],"939":[0,25,28],"93900569e":29,"93909866":[],"93937564":[],"93968601":[],"93970238":25,"93989887":[],"94":[9,25],"94099173":[],"94141801":[],"94221383":22,"94226022e":[6,30],"94255277":25,"94273542":29,"94284104":5,"94285762":28,"94291287":[],"94320205":5,"9434":5,"94388948":33,"94419718":[],"9444444444444444":1,"94499279":33,"9450635":28,"94591015":[22,28],"946167":[],"94616709":[],"94623184":5,"94625725":[],"946276":[],"94627617":[],"946372":[],"94637206":[],"94639099":11,"946957":5,"94704941e":[],"9472222222222222":1,"947607":[],"94766419e":29,"94781064":30,"9482527":5,"9485531":[],"9495484":[],"95":[1,9,11,31],"95008046":6,"95033155e":[],"950423":[],"95053694e":[],"95166920e":29,"95226607":[],"95231424":5,"952387":29,"9527777777777777":[],"95284275":5,"953065564":1,"95338273":29,"95343966":22,"95351665":5,"95354276":25,"95395895":[],"953959":[],"954":25,"95400323":28,"95511792":29,"955118":29,"95518112":[],"9555555555555556":1,"95563211":[],"955820c21e8b":4,"95611042":33,"95647867":[],"956563":[11,29],"95684892":5,"95703":33,"95715036":[],"95743466e":[],"95793988e":[],"958228616652075":5,"95872127":[],"95890587":28,"95906059":33,"959076":[],"96":[1,6,9,11,31],"960":25,"9601304850035702e":[6,30],"9601304850073734e":[6,30],"96015381":22,"96024953":5,"96075051":33,"96080358":25,"96084663":5,"961":25,"962":25,"96231225":[],"96251859":[],"96305058":[],"963187":[],"9637117593816477":[6,30],"96379806e":[],"96391888":[],"9640435":5,"96432396":[],"96461948":22,"9647801":28,"9649652536":4,"965548":29,"96585824":[],"96631321":29,"96688672":5,"967":6,"9674916":5,"967809":[11,29],"96826039":[],"96853248":22,"968650":[],"96865004":[],"96866031":[],"968704":11,"96870431":11,"96894842":[],"969190":[],"96919021":[],"96919836":[],"9692":[],"96991192":[],"97005689":5,"97065359":31,"970827":[],"97082748":[],"97108e":33,"97120565":[],"9712983":[],"97206657":5,"972067":5,"972149":[],"9722222222222222":[],"97228653":[],"9722865317690382":[],"97243128":5,"97243946":[],"972533":[],"97253307":[],"97272223":[],"97300836":5,"97435908":[],"97480604":[],"97482498":11,"974825":11,"97486336":28,"97497404e":[6,30],"97498674":28,"975":[],"97507735":5,"97512176":28,"975484":[],"97548406":[],"97570392":28,"97626519":[],"97630233":31,"9767506308987675":[],"977":6,"97705827":5,"97716508":[],"97758848":5,"9777777777777777":[],"978":31,"9780387310732":27,"9780387848570":27,"9781098134174":28,"9781492032632":27,"9781801819312":28,"97836358":[],"978553":5,"97898392":[6,29,30],"97906022e":29,"9792":[],"97926491":5,"97935648":[],"97979891":6,"98":[0,1,9],"980":9,"9805555555555555":[],"98091621":5,"981321":29,"98139097":5,"98140006e":[],"98190064":[],"98271562":25,"98275501":5,"98281205":33,"983310":29,"98338288":[],"983383":[],"983450":[],"9834505":[],"9838929":[],"98413059":5,"98413606":[],"9841870203276504":[],"98454786":5,"98473694":[],"985":25,"98566191":5,"986":25,"9861111111111112":[],"98619989":[],"98636199":[],"986362":[],"98654811":[],"986699":5,"98680716":5,"98716878":5,"98740373":22,"98770503":28,"98808176":5,"98822371":6,"9888888888888889":[],"989":25,"9890348":5,"9893447":5,"98947674e":29,"98947894":29,"9898ff":[9,10],"99":[1,6,9,11,13,31,33],"990":9,"99003341":[],"99009525":5,"9904314810719695":[],"99088801":5,"991":25,"991047":[],"99104747":[],"99114739e":[],"99115119":5,"99176998":5,"99194201":[],"992":25,"99201684e":[],"99242921":5,"99265097":5,"993":25,"9930742":22,"99316252":5,"99370678":22,"99371056":5,"99389612":5,"99427512":22,"9943201":5,"99434472":[],"994345":[],"994474":[],"99447418":[],"99456598":33,"99475306":33,"9947756":5,"9948998579029953":[],"99492986":5,"99498272":[],"9951059931014423":[],"99512017":22,"9952183728736417":[],"9952505213910134":29,"9952537939995855":[],"99528218":5,"99539415":5,"9955318336036834":29,"99566069":5,"99578809":5,"9958589197366403":[],"9958983289118531":[],"9959308805732706":29,"996":[5,30,31],"99608161":5,"9963961":5,"99647992e":[],"99650061":5,"996626":[],"99662602":[],"9967458":5,"9969461173312454":[],"9969513794144311":[],"99700706":5,"99709215":5,"997252717901263":[],"99729756":5,"99751458":5,"99753321e":29,"99758326":5,"99762142":30,"997746":11,"99774602":11,"99775587":5,"99793613":5,"99799099":5,"99802696":33,"99812668e":[],"99813653":5,"99828624":5,"9983295":5,"99835783":33,"99845267":5,"99848815":33,"99854557":29,"998577":5,"99861053":5,"99862019":29,"99869482":29,"99871521":5,"99876945":29,"99881845":5,"99883628":29,"99884384":5,"99884409":29,"99884986":30,"99891093":29,"99891873":29,"99893323":5,"99898558":29,"999":[9,25,33],"99901896":5,"99903755":5,"99906023":29,"9990927157696581":30,"99911427":5,"99912709":29,"99913489":29,"99916114":33,"99918546":5,"99919837":5,"99920175":29,"99926459":5,"99927642":29,"9993237":5,"99933188":5,"9993511":29,"99938942":5,"99941797":29,"9994385":5,"99944272":5,"99949266":29,"99949306":5,"99953381":5,"99953475":5,"99954925":33,"99956033":[],"99956735":29,"99957911":5,"99961294":5,"99965056":5,"99967865":5,"99970894":29,"99970988":5,"9997332":5,"99975913":5,"99977849":5,"99978365":29,"99980002":5,"9998161":5,"99984732":5,"99987324":5,"99989103":33,"99989476":5,"99991263":5,"99992746":5,"99993978":5,"99995":5,"999955585168597":[6,30],"9x":[6,23],"9y":[6,23],"\u00f8yvind":[6,29,30],"abstract":[1,20,33],"boolean":4,"break":[0,4,6,11,14,28],"byte":[22,28],"case":[0,1,2,3,4,5,6,7,11,12,13,14,16,21,22,23,28,31],"catch":0,"class":[0,1,3,4,6,7,8,9,11,12,13,25,28,31,33],"default":[0,1,2,4,6,7,8,16,22,23,28,29,30,32],"do":[0,2,3,4,5,6,8,9,10,11,12,13,14,15,16,22,23,28,29,32],"ekstr\u00f8m":4,"export":9,"f\u00f8470":[26,28],"final":[0,1,2,3,4,5,6,7,8,9,10,11,13,14,16,18,19,20,23,24,25,26,28,31,32],"float":[0,3,4,5,9,11,13,14,22,28,29,33],"function":[2,3,4,5,9,14,15,16,17,18,19,21,22],"import":[0,1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,17,23,25,31,32,33],"int":[0,1,2,3,4,5,6,11,13,14,22,25,29,31,33],"long":[0,1,3,4,12,13,28,32,33],"m\u00f8svatn":[6,23],"new":[0,1,2,3,5,6,7,8,9,10,11,13,14,17,22,28,29,32,33],"public":[0,21,28],"return":[0,1,2,3,4,5,6,7,8,9,11,13,14,22,23,25,28,29,30,31,32,33],"sch\u00f8yen":[6,29,30],"short":[4,5,20,23,30,31],"super":[5,29,30],"switch":0,"throw":[3,6,25,31],"true":[0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,19,22,23,25,28,29,30,31,32,33],"try":[0,1,2,4,5,6,7,8,9,10,11,13,14,15,16,21,22,23,25,28,29,30,31,32,33],"var":[1,5,6,10,11,18,19,23,25,28,29,30,31],"while":[0,1,3,4,5,6,7,8,9,11,12,13,25,28,29,30,31,32,33],A:[2,3,5,6,7,10,11,12,13,16,18,20,21,22,23,24,25,26,27,29,33],AND:2,And:[0,3,4,5,6,9,13,20,21,23,25],As:[0,1,2,3,4,5,6,8,10,12,13,16,22,23,25,28,29,30,31,32,33],At:[0,4,6,13,23,28,33],BE:[0,28],Be:[2,21,28],Being:[13,33],But:[0,1,2,3,5,6,9,10,25,29,30,31],By:[0,3,5,6,12,13,17,22,28,29,30,31,32,33],For:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,21,22,23,24,25,27,28,30,31,32,33],IF:[6,30],IN:27,If:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,15,16,21,22,23,25,28,29,30,31,32,33],In:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,21,22,23,25,27,28,29,30,31,32,33],Is:11,Ising:[5,12,29],It:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,21,22,23,25,28,29,30,31,32,33],Its:[1,2,4,11],NO:[9,11],No:[0,6,7,9,28,30,32],Not:[0,1,5,6,29,30,31],OR:25,Of:25,On:[0,3,9,15,23,24,25,26,27,28],One:[0,1,3,4,5,6,7,8,11,12,13,17,23,25,29,31,32,33],Or:[0,1,6,23,28,32],Such:[0,6,12,16,25,31,32,33],That:[0,5,7,10,11,12,14,19,23,25,28,30,31,32],The:[4,10,13,14,15,16,18,19,20,22,23,24,25,26,27],Then:[0,1,6,8,9,10,11,12,13,14,22,23,28,31,32,33],There:[0,3,4,5,6,8,9,11,12,14,22,23,24,25,26,28,29,30,32,33],These:[0,3,4,5,8,9,10,11,12,13,14,15,16,22,23,25,26,28,29,30,33],To:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,22,25,30,31,32,33],With:[0,5,6,8,9,10,11,12,14,18,22,23,25,28,29,31],_0:[5,8,10,11,13,29,32,33],_1:[2,5,6,8,10,11,12,13,14,22,29,30,32,33],_2:[2,5,8,11,12,13,22,29,33],_3:22,_4:22,_9:[13,33],_:[0,1,2,4,5,6,7,8,9,10,11,12,13,17,18,19,22,23,28,29,30,31,32,33],__array_function__:2,__class__:10,__doc__:[6,31],__enter__:[0,7,32],__future__:[8,9],__getattr__:30,__getattribute__:28,__getitem__:[0,7,32],__init__:[0,1,3,4,7,14,30,32],__main__:2,__name__:[2,10,30],__rtruediv__:[],_accessor:28,_auto10:[6,12],_auto11:6,_auto12:6,_auto1:[2,3,4,5,6,7,12,13,22,25,29,32,33],_auto2:[2,3,4,5,6,12,13,22,25,33],_auto3:[3,4,5,6,12,13,22,33],_auto4:[4,6,12,13,22,33],_auto5:[4,6,12,13,22,33],_auto6:[4,6,12,22],_auto7:[4,6,12,22],_auto8:[6,12],_auto9:[6,12],_base:8,_build:[0,17,19,21,23,27,28],_c:1,_can_hold_identifiers_and_holds_nam:28,_check_optimize_result:[9,11],_class:8,_compon:11,_coordinate_desc:6,_depth:9,_fraction:9,_generatorcontextmanag:[0,7,32],_i:[0,1,2,5,6,7,8,11,12,13,15,16,17,19,23,28,29,30,31,32,33],_info_axi:28,_j:[0,1,2,3,5,6,8,13,17,19,23,29,30,31,33],_k:[13,32,33],_l:12,_lambda:[6,28],_leaf:9,_ll:[3,4,14],_logist:[9,11],_m:10,_make_vjp:[],_multilayer_perceptron:[],_n:[2,5,8,11,13,29,32,33],_node:9,_np:[],_o:[3,4,14],_open_file_or_url:[0,7,32],_p:[5,8,29],_plugin_dir:[3,4,14],_ratio:11,_rc_params_in_fil:[0,7,32],_s:[3,4,14],_sampl:9,_split:[6,9,23],_t:[13,33],_test:[6,23],_tf_getinputpropertieslist:[3,4,14],_trace:[],_valu:[],_varianc:11,_weight:9,_wrapreduct:2,a0:3,a0faa0:[9,10],a1:[0,28],a2:[0,28],a3:[0,28],a4:[0,28],a_0:[0,28],a_1a:[0,28],a_2a:[0,28],a_3:[0,28],a_3a:[0,28],a_4:[0,28],a_4a:[0,28],a_:[0,1,16,22,28,29],a_h:1,a_i:[0,1,2,12,28],a_j:[1,12],a_k:[0,1,12],aaron:27,ab:[0,2,5,13,14,23,28,29,30,33],ab_channel:21,abandon:1,abbrevi:24,abid:25,abil:[0,10],abl:[0,1,4,5,6,7,10,12,13,16,23,29,32,33],about:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,21,22,23,26,30,31,32,33],abov:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,22,23,25,27,28,29,31,32,33],abovement:[6,28,31],abscissa:[13,32,33],absolut:[0,2,5,6,13,28,29,30,31,33],absorb:[29,30],acceler:[13,33],accept:[0,3,6,9,23,28,29],access:[0,3,11,25,28],accid:[4,6,31,32],accompani:[0,28,29],accomplish:[8,9,13,33],accord:[0,1,2,5,6,9,12,13,14,15,16,25,28,30,31,32,33],accordingli:11,account:[0,3,5,13,15,25,28,30,31,33],accumul:[12,13,25,33],accur:[0,3,4,6,10,13,31,33],accuraci:[0,1,3,4,5,6,7,9,10,11,12,28,29,32],accuracy_scor:[0,1,10,28],accuracy_score_numpi:1,achiev:[0,1,5,6,8,12,22,28,30,31],aco:25,acquaint:21,acquir:[1,21,28],acr:0,across:[1,3,6,9,21,28,31],act:[1,3,22],action:25,activ:[0,2,3,4,9,24,26,28,32,33],actual:[0,1,4,5,6,8,11,16,22,25,28,29,30,31],ad:[1,3,4,5,8,13,15,16,22,30,31,32,33],ada_clf:10,adaboostclassifi:10,adadelta:[13,33],adam:[1,3,4,26,28],adapt:[4,6,13,27,31,32],add:[0,1,2,3,4,5,6,8,10,11,12,15,16,17,23,25,28,29,30,31,33],add_outgrad:2,add_subplot:[1,7,12,14,23,32,33],addendum:5,addit:[0,2,3,5,6,7,8,9,10,12,13,15,17,21,22,23,25,26,27,28,29,30,31,32,33],addition:[12,13,32,33],address:[1,9,11,13,28,33],adjac:[3,12],adjoint:[5,29,30],adjust:[0,5,12,13,32,33],admir:[0,28],advanc:[4,6,12,27,28,31],advantag:[1,3,5,6,10,13,22,30,31,32,33],adversari:28,afecionado:28,affect:3,affin:[0,3,8,11,29],afford:3,aficionado:28,aforement:14,african:0,after:[0,1,2,4,5,6,9,11,12,13,15,21,22,23,25,28,29,30,31,33],afterward:[0,28],ag:[0,7,24,28,29,32],ag_0:2,again:[0,1,4,5,6,7,8,10,11,12,13,15,16,23,25,28,29,30,31,33],against:[1,4,7,10,32],agegroup:[7,32],agegroupmean:[7,32],aggreg:[9,10],agorithm:10,agre:[5,6,25,30,31],agreement:[13,33],ahead:9,ai:[0,27],aid:[11,20],aim:[0,1,4,6,7,11,14,15,16,21,22,23,29,31,32],ainv:5,airplan:3,aka:[5,30,31],al:[0,2,4,15,16,17,23,27,28,29,30,31,32,33],alarm:[5,7,30,31],aldo:29,algebra:[0,3,5,13,21,29,30,31,33],algorithm:[0,1,2,4,5,6,7,8,13,14,21,22,23,25,27,28,30,31,32],align:[0,2,5,6,7,8,13,23,25,28,29,30,31,32,33],all:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,15,21,22,23,24,25,26,27,28,29,30,31,32,33],allevi:[1,13,32,33],alloc:[3,22],allow:[0,1,2,3,5,6,8,10,13,15,16,21,22,23,28,29,30,31,32,33],almost:[0,1,6,8,11,13,25,31,32,33],alon:[2,9],along:[2,3,4,5,6,9,10,11,21,22,28,29,30,31,32],alpha:[0,1,2,3,4,6,7,8,9,10,13,14,25,28,29,31,32,33],alpha_0:3,alpha_1:3,alpha_2:3,alpha_:10,alpha_i:[3,13,33],alpha_k:[13,33],alpha_m:10,alpha_n:3,alpha_opt:[13,33],alreadi:[2,3,4,5,6,10,12,21,22,25,28,29,30,31],also:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,28,29,30,31,32,33],alter:1,altern:[0,1,4,5,6,8,9,11,13,22,23,28,29,30,31,32,33],although:[0,1,5,6,8,10,13,16,28,30,31,33],alwai:[0,3,5,6,12,13,16,23,25,28,29,30,31,32,33],am:4,ame2016:[0,28],american:0,among:[0,3,5,9,10,12,22,28,29,30],amongst:[5,30,31],amount:[0,1,3,4,6,8,10,14,21,31],an:[1,2,3,5,6,7,8,9,11,12,13,14,15,16,17,19,20,21,22,23,25,26,27,29,30,31,32,33],an_:25,anaconda:[0,1,15,21,23,28],analog:[13,33],analys:[6,30,31],analysi:[1,3,4,7,14,15,16,17,19,22,27,32],analyt:[2,3,5,6,7,12,13,15,21,23,28,29,30,31,32,33],analyz:[0,1,3,4,5,6,16,17,23,25,29,30],andrew:1,angl:[0,3,9,29],anharmon:3,ani:[0,1,2,3,4,5,6,7,8,9,10,12,14,18,25,28,29,30,31],anim:[4,12],ann:12,annot:[0,1,3,7,8,28,32],announc:28,anoth:[0,1,3,4,5,6,7,8,10,11,12,13,22,23,25,28,29,32,33],anp:2,ans_vspac:[],ansatz:[0,28],answer:[0,1,3,5,6,22,23,26,28,30,31],antialias:[2,6,23],anticip:4,anymor:[1,8],anyon:[4,8],anyth:[1,25],anytim:[26,28],apach:1,apart:[11,13,32,33],api:[1,21,28],appar:2,appear:[0,1,3,13,16,22,25,33],append:[1,3,4,8,9,13,28,33],appendix:23,appli:[0,1,2,3,4,6,7,8,9,10,11,12,13,15,16,23,25,27,28,29,30,31,32,33],applic:[0,1,3,4,5,6,7,9,12,13,22,23,25,27,28,29,31,32,33],apply_gradi:4,approach:[1,2,4,5,6,9,10,11,12,13,17,21,25,27,29,32],appropri:[2,6,9,12,13,21,25,31,33],approv:28,approx:[0,2,3,6,10,11,13,25,28,31,32,33],approxim:[0,1,2,3,4,5,6,7,10,11,13,18,19,23,25,28,29,30,31,32,33],apt:[0,15,21,23,28],aq:25,ar:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,21,22,23,24,25,26,27,28,29,30,31,32,33],aragorn:28,arang:[1,3,4,6,7,9,10,12,13,23,28,32,33],arbitrari:[1,4,6,8,12,13,25,31,32,33],arbitrarili:[0,1,11,28],arc:[6,23],architectur:[3,4,12],area:[0,3,6,9,23,27,28],arg:2,argmax:[1,11],argmin:[4,10,14],argnum:2,argnum_0:2,argnum_1:2,argsort:11,argu:[1,13,33],argument:[0,2,3,5,6,11,12,13,28,29,30,31],argval:[],aris:[0,6,12,13,25,28,31,32,33],arithmet:[0,13,22,28,33],arm:[6,30],armadillo:22,around:[0,1,4,5,6,11,25,28,30,31],arr:[],arr_list:[],arrai:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,21,23,25,29,30,31,32,33],arrang:[3,28],arraybox:[13,33],arriv:[0,6,9,11,22,25,28,31],arrow:12,arrowprop:8,art3d:33,art:[0,1,15,21,28],articl:[0,3,4,6,10,18,23,28,29,30,31],artifici:[0,2,7,12,27,28,32],artificialneuron:12,arug:[13,33],arxiv:[3,4,23,33],asarrai:[0,2,6,9,29,30,33],asid:29,ask:[5,6,11,12,23,30,31],aspect:[0,6,21,23,28,29,30],assembl:[0,3,28],assert:4,assess:[0,6,23,28,29,30,31],assici:4,assign:[0,7,8,9,12,13,14,24,26,27,28,32,33],associ:[0,6,9,12,14,25,28,31],assum:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,19,22,23,25,28,29,30,31,32,33],assumpt:[0,3,5,6,9,11,18,23,25,28,29],ast:[0,5,6,18,23,28,30,31,32],astronomi:[28,30,32,33],astyp:[4,9,10],asymmetri:[0,28],asymptot:[4,6,31],atleast_2d:[],atom:[0,28],attempt:[0,4,6,7,8,10,28,30,32],attend:24,attent:[0,22,28],attr:30,attract:[0,10,28],attribut:[0,9,28,30],attributeerror:[28,30],audi:[0,28],audio:[3,4],august:[15,16,28],aurelien:[0,15,24,27,28],austfjel:[6,23],author:[0,1,10,25],authour:28,auto:[8,9,10,25],auto_exampl:[23,30],autocor:25,autocorrelation_tim:25,autocorrelform:25,autocovari:25,autoencod:[4,21,28],autoencond:21,autograd:[21,28],autom:[0,21,27,28],automac:22,automag:28,automat:[0,1,2,3,4,11,16,21,22,28],automobil:3,autonom:4,avail:[0,1,4,6,7,10,11,15,20,21,22,23,24,26,27,28,31,32],averag:[0,1,3,6,9,10,13,14,25,26,28,29,30,31,32,33],avoid:[0,4,5,6,9,11,13,22,28,29,31,32,33],awai:[2,3,6,29,30],awar:[2,10],award:[26,28],ax:[0,1,2,3,4,6,7,8,9,10,11,12,13,14,22,23,28,31,32,33],axes3d:[2,6,13,23,32,33],axes_grid1:6,axhlin:8,axi:[0,1,2,3,4,6,7,8,9,10,11,12,13,14,22,23,25,28,29,30,31,32,33],axiom:[5,30,31],axis_arg:[],axlabel:[0,28],axvlin:[4,8],axvspan:4,b1:8,b2:8,b3:8,b:[0,1,3,4,5,6,8,9,10,12,13,14,15,16,25,26,28,29,30,31,32],b_0:0,b_1:[0,2,12,13,33],b_2:[0,13,33],b_5:[13,33],b_:[0,1,22],b_group:9,b_i:[0,1,2,12,28],b_ia_:[0,28],b_ia_i:0,b_index:9,b_j:[1,12],b_k:[0,1,12,13,33],b_m:12,b_score:9,b_valu:9,babcock:28,bachelor:[24,26],back:[0,3,4,5,6,8,9,10,15,22,25,28,29,30,32,33],backbon:22,backend:[0,1,4,7,32],background:[27,28,29],backpropag:1,backtrack:9,backup:22,backward:[1,2,4,12,22],backward_pass:2,bad:[6,29,30],badli:25,bag:[9,21,28],bag_clf:10,baggin:28,baggingboot:10,baggingclassifi:10,baggingtre:10,balanc:[6,31,32],band:22,bandwidth:22,bar:[0,6,11,15,16,23,28],barber:27,bare:[4,10],base:[0,1,3,4,5,7,8,9,10,14,21,25,26,27,28,29,30,32],basi:[5,7,8,10,11,12,13,22,29,30,32,33],basic:[6,8,12,13,14,21,23,25,28,33],batch:[3,4,11,12,13,32],batch_shap:4,batch_siz:[1,3,4],batchnorm:4,bay:[7,32],bayesian:[5,21,27,28,30,31],beam:[28,32,33],becattini:26,becaus:[0,1,2,3,4,5,6,8,9,12,13,14,28,30,31,32,33],becom:[0,1,2,5,6,7,9,12,13,25,28,29,30,31,32,33],been:[0,1,2,3,4,5,6,11,12,13,21,22,23,28,29,30,31,33],befor:[0,1,2,3,4,5,6,7,8,12,13,14,20,22,23,25,28,29,30,31,32,33],beforehand:[0,25,28],begin:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,22,23,25,26,28,29,30,31,32,33],behav:[1,6,13,31,32,33],behavior:[0,1,13,28,32,33],behaviour:12,behind:[0,1,6,8,13,28,32,33],being:[0,1,2,3,4,5,7,8,10,11,12,13,17,25,28,29,30,31,32,33],believ:[9,22],belong:[7,8,9,13,14,32,33],below:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,22,23,25,28,29,30,31,32,33],benchmark:10,benefici:[1,13,33],benefit:[0,1,4,11,13,15,21,28,32,33],bengio:[1,24,27,28,29,33],benign:[1,7,9,32],besid:[4,5,30],bessel:[5,29,30,31],best:[0,1,2,3,4,5,6,7,8,9,10,12,13,23,26,28,29,31,32,33],best_estimator_:32,beta1:33,beta2:33,beta:[0,1,3,5,6,7,10,11,13,16,17,18,19,23,28,29,32,33],beta_0:[0,1,3,5,6,7,13,28,29,30,32,33],beta_0x_:[0,28,29],beta_1:[0,1,3,5,6,7,10,13,28,29,30,32,33],beta_1x_0:[0,28],beta_1x_1:[0,7,28,32],beta_1x_2:[0,28],beta_1x_:[0,28,29],beta_1x_i:[7,13,29,32,33],beta_2:[0,3,13,28,29,33],beta_2x_0:[0,28],beta_2x_1:[0,28],beta_2x_2:[0,7,28,32],beta_2x_:[0,28,29],beta_2x_i:29,beta_3:3,beta_3x_i:29,beta_4x_i:29,beta_:[0,3,6,7,13,28,29,30,32,33],beta_i:[0,3,5,28,29,30],beta_j:[0,5,6,13,18,23,28,29,30,31,33],beta_k:[13,32,33],beta_linreg:[13,32,33],beta_m:10,beta_mg_m:10,beta_n:3,beta_p:[7,32],beta_px_p:[7,32],betavalu:5,better:[0,1,2,3,4,6,9,10,11,12,13,28,29,30,31,33],between:[0,1,2,3,4,5,6,7,8,9,11,12,13,14,17,23,25,28,29,30,31,32,33],beyond:[0,1,5,6,8,13,23,28,29,32,33],bf:[13,14,22,25,32,33],bg:28,bgd:[13,33],bia:[0,1,2,3,5,8,9,10,12,13,19,28,29,30,32,33],bias:[1,2,3,5,6,9,12,30],bibliographi:23,big:[0,1,2,5,6,14,18,30,31],bigger:[1,6,29,30],bigr:12,bike:9,bilbo:28,billion:[3,12,21],bin:[0,7,25,32],binari:[0,3,5,7,9,10,12,28,30,31,32],binarycrossentropi:4,bind:[0,29],binomi:[21,25,28],binsboot:[6,31],bioinformat:0,biolog:[1,12],bios1100:[21,28],bird:[0,3],birth:28,bishop:[24,27,28],bit:[1,4,22,25,28],bitwis:25,bivari:2,bk:[0,13,33],bla:[22,28],black:[8,9,14],blob:[16,20,23,32,33],block:[6,10,21,22,25,28,31],blog:28,blogpost:4,blue:[0,3],bmatrix:[0,1,3,5,7,8,11,13,22,28,29,30,32,33],bmi:1,bn:[],bodi:[0,1,4,12,28],bold:1,boldfac:[0,5,16,29,30],boldsymbol:[0,1,2,3,5,6,7,8,10,11,13,14,15,16,17,18,19,23,28,32,33],boltzmann:[12,21,28],book1:27,book:[19,23,27,28,29,31],boost:[1,9,21,28],boostrap:10,bootstrap:[1,13,19,21,23,28,32,33],borrow:28,boston_dataset:0,bot:8,both:[0,1,4,5,6,8,9,10,13,14,15,16,21,22,23,25,26,28,29,30,31,32,33],bottl:[7,32],bound:[0,8,12,33],boundari:[2,4,8,11,12],box:[4,9],boxed_arg:[],boyd:[8,13,32,33],bracket:[4,25],brain:[1,7,12,32],branch:9,breast:[5,7,11,30,31,32],breviti:[13,33],brew:[0,15,21,23,28],brg:8,brief:[23,29],briefli:[0,28],bring:[0,5,6,10,29,30],broad:0,broadcast_idx:2,brought:[13,21,28,33],brownle:4,browser:28,brute:[3,5,11,29,30,32],bs:[8,9,10],buffer_s:4,bui:4,build:[0,4,5,6,10,22,25,28,30,31,32,33],built:[0,1,3,4,6,31],bunch:11,busi:0,c1:[8,11],c2:[8,11],c:[0,1,2,4,5,6,7,8,9,10,11,12,13,14,15,16,19,21,22,25,26,27,29,30,31,32,33],c_0:25,c_1:12,c_2:12,c_3:12,c_4:12,c_:[0,8,9,10,13,25,32,33],c_i:[12,13,33],c_k:25,ca:[1,28],cach:10,cal:[0,8,10,12,13,15,16,28,32,33],calcul:[0,1,2,4,5,6,8,9,10,11,12,13,14,15,16,18,22,25,28,30,31,32,33],call:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,19,21,22,23,25,26,28,29,30,31,32,33],calor:[0,29],cambridg:[13,27,32,33],can:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,26,27,29,30,32],cancel:[0,13,28,29,33],cancer:[5,10,30,31],cancerpd:[7,32],candid:[8,9,10,33],cannot:[0,1,4,5,6,7,8,9,24,25,29,30,32],canopi:[0,15,21,23,28],canva:[23,28],cap:[5,30,31],capabl:[0,1,8,13,21,28,33],capac:[2,26],capita:0,caption:23,captur:[4,11,12],car:[3,4],card:[0,7,28,32],cardin:1,care:[11,32],carefulli:[13,33],carlo:[0,6,21,25,27,28,31],carri:[2,6,7,23,31,32],cart:10,casella:27,cast:1,cat:[3,4],categor:[0,1,3,9,11,28],categori:[0,1,3,7,10,12,14,28,32],categorical_crossentropi:[1,3],caus:[0,5,6,7,25,28,29,30,31,32],causal:0,causat:[0,28],cax:1,cb:[6,28],cbar:1,cc:[0,1,5,13,28,29,30,32,33],ccc:[5,12,30],cd_fast:6,cdf:25,cdot:[0,2,6,12,13,14,22,25,28,31,32,33],celebr:[13,32,33],cell:[0,1,2,3,4,6,7,8,9,10,13,14,23,30,32],center:[0,1,6,7,8,9,11,14,23,25,28,30,31,32],central:[0,3,5,6,8,16,22,28,29,30],centroid:[14,25],centroid_differ:14,centuri:3,certain:[0,3,6,7,9,25,28,29,31,32],certainti:31,cg:[13,33],cha:0,chain:[0,1,13,21,25,28,33],challeng:33,chanc:[1,5,13,25,30,31,33],chang:[0,1,2,3,4,5,6,8,9,11,12,13,14,22,23,25,28,29,30,31,32,33],channel:3,chapter3:[0,19,23],chapter:[0,6,10,11,16,18,22,23,27,28,29,30,31,32,33],charact:[0,3,5,8,28,29],character:[8,9,10,12,25],characterist:[0,1,3,10,13,28,33],charg:[0,28],charl:0,chase:4,chatgpt:23,chd:[7,32],chddata:[7,32],cheap:[5,29],cheaper:[1,13,33],check:[0,1,3,4,5,6,11,13,22,28,33],checkmark:3,checkpoint:4,checkpoint_dir:4,checkpoint_prefix:4,chen:10,cheng:29,chiaramont:2,choic:[0,1,2,3,4,6,9,12,13,14,19,22,28,29,31,32,33],choleski:[5,22,29],choos:[2,3,6,9,10,11,13,14,23,31,32,33],chosen:[0,1,2,6,8,9,10,13,16,25,28,31,32,33],chosen_datapoint:1,christian:27,christoph:[24,27,28],cifar10:3,cifar:3,circ:[1,12],circl:[0,8,12,29],circuit:3,circumfer:9,circumv:[1,5,13,29,33],cite:23,ckpt:4,clariti:25,class_nam:[3,9],class_val:9,class_valu:9,classic:[7,9,13,32,33],classif:[0,3,5,6,7,8,11,12,21,23,27,28,29,30,31,33],classifi:[0,1,4,7,9,10,11,28],classificaton:1,classifii:10,clean:1,clear:[1,5,10,12,13,33],clearli:[0,3,5,6,7,8,18,25,29,30,31,32],clever:[1,10],clf3:0,clf:[0,6,8,9,10,28,29],clf_lasso:6,clf_ridg:[6,28],clip:[3,25],clone:26,close:[0,1,2,4,6,8,9,11,12,13,14,23,25,27,28,31,32,33],closer:[3,5,13,29,33],closest:[8,11,13,14,33],closur:[21,28],cloud:[21,28],cluster:[0,1,4,6,11,21,28,31],cluster_label:14,cm:[1,2,3,6,8,9,13,23,32,33],cmap:[0,1,2,3,4,6,8,9,10,23,28],cmap_arg:6,cmb:24,cmd:9,cn_:25,cnn:12,cnn_kera:3,cntk:[21,28],co:[0,2,3,6,9,13,28,31,33],code:[3,4,6,7,8,15,16,17,19,21,22,23,25,27],coef0:8,coef:[0,28],coef_:[0,5,6,8,9,13,28,29,30,32,33],coeff:5,coeffici:[0,3,5,6,7,8,9,13,15,16,22,28,29,30,31,32,33],coerc:[0,6,28,31],coin:[10,25],coin_toss:10,col:[0,11,28,29],colab:[21,28],cold:9,colinear:0,collabor:23,collaps:8,collect:[0,2,6,10,11,21,25,27,28,31],collinear:[5,29,30],color:[0,3,4,6,8,9,10,23,25,33],color_channel:3,color_cod:6,colorbar:[1,6,23],colsample_bytre:10,colsaobject:10,column:[0,1,2,5,6,7,8,9,11,12,17,22,28,29,30,31,32],columntransform:9,com:[4,6,16,20,21,23,27,28,31,32,33],combin:[1,2,5,6,7,10,25,30,31,32,33],come:[0,1,3,4,5,12,13,14,15,28,29,30,31,33],command:[0,1,28],comment:[0,4,5,6,15,16,23,28,29],commerci:[0,15,21,23,28],commod:[0,28],common:[0,1,3,5,6,7,9,11,13,14,23,25,28,29,31,32,33],commonli:[0,1,4,6,7,9,13,14,29,31,32,33],commun:[0,12,23],commut:3,commutatitav:3,compact:[0,1,3,5,6,7,9,11,12,13,14,28,29,30,31,33],compair:0,compar:[0,3,4,5,6,11,13,15,16,22,23,28,29,30,31,32,33],comparison:[2,4,13,33],compat:[7,32],compet:0,competit:10,compil:[0,1,3,4,13,15,21,22,28,33],complet:[0,2,3,4,9,12,28],completenn:12,complex:[1,5,8,9,11,12,13,15,16,19,28,31,33],complic:[0,1,9,13,28,31,32],compoment:29,compon:[0,1,3,4,5,6,7,9,14,16,21,28,29,30,31,32],components_:11,compos:[9,12,13,14,21,28,33],compphys:[0,6,16,17,19,20,21,23,24,26,27,28,32,33],compress:[0,28,29],compris:[6,32],compromis:[5,29],compulsori:[21,28],comput:[0,1,2,3,4,5,6,7,8,10,11,12,13,15,16,17,21,22,23,24,25,27,28,29,30,31,32],computation:[0,3,6,9,13,25,28,32,33],computationalscienceuio:28,computerlab:23,concaten:[2,4,6,14],concatenate_arg:[],concav:[1,9,13,29,32,33],concentr:[0,10],concept:[0,2,21,28,29],conceptu:[12,13,32,33],concern:[0,1,4,7,28,32],concic:28,conclud:[0,5,13,30,31,33],conclus:1,cond:2,conda:[0,1,15,21,23,28],condis:29,condit:[0,2,4,5,6,8,9,11,13,25,28,29],conduct:21,condwav:2,confid:[0,5,6,7,8,18,23,28,29,30,32],configur:3,confirm:[5,12,30,31],confus:[5,6,7,10,22,29,30,31],confusion_matrix:9,congruenti:25,conjug:[4,8],conjugaci:[13,33],conjunct:3,connect:[0,1,3,4,9,11,12,13,22,28,29,32,33],consequ:[5,6,8,10,12,13,29,30,31,32,33],conserv:[5,14,29],consid:[0,1,2,3,5,6,7,8,9,10,12,13,16,19,22,23,25,28,29,30,31,32,33],consider:[0,1,5,13,28,29,30,31,32,33],consist:[0,1,2,3,4,6,12,13,19,23,25,29,31,32,33],constant:[0,2,4,5,6,8,12,13,25,28,29,30,31,32,33],constitu:[0,28],constitut:[2,6,31,32],constrain:[1,3,5,7,11,30,32],constraint:[5,6,8,13,29,30,31,33],construct:[0,1,2,3,5,6,7,8,9,10,11,22,25,28,29,30,31,32],contact:[0,28],contain:[0,2,3,4,5,6,7,8,9,11,12,13,17,19,22,23,25,27,28,29,30,31,32,33],contemporari:28,content:[1,21,22,28],context:[6,10,13,23,31,32,33],contextlib:[0,7,32],contigu:22,continu:[0,1,2,3,4,5,6,7,8,9,10,12,13,17,18,22,23,25,28,29,30,31,32,33],contour:[9,10,13,33],contourf:[8,9,10],contrast:[1,4,9,10,12],contribut:[0,3,5,13,25,28,29,30,33],contributor:[0,23],control:[0,1,3,9,13,15,21,28,33],conv2d:[3,4],conv2dtranspos:4,conv:[3,4],convei:28,conveni:[0,5,6,12,13,22,23,28,30,31,32,33],convent:[12,29],converg:[1,2,4,5,6,8,9,11,13,14,29,30,32,33],convergencewarn:[6,8,9,11],convert:[0,1,4,5,9,11,13,22,28,29,33],converttomatrix:4,convex:[4,5,7,29],convinc:[13,32,33],convolut:[1,4,21,28],cook:23,cool:[4,9],coolwarm:[6,23],coordin:[5,12,14,29,30],coorel:0,copi:[0,1,14,29],core:[0,2,7,10,28,32],corel:28,coronari:[7,32],corr:[0,5,7,11,29,32],correalt:[11,21],correct:[0,1,2,3,4,5,7,13,22,25,28,29,30,31,33],correctli:[1,2,6,7,10,23],correl:[0,1,3,5,6,7,10,12,13,21,25,28,30,31,33],correlation_matrix:[0,5,7,11,29,32],correspond:[0,3,5,6,8,9,11,12,15,16,17,21,22,23,25,28,29,30,31],cortex:12,cosin:[3,6,31],cost:[0,2,3,5,6,7,8,9,12,13,16,17,19,23,28],cost_deep_grad:2,cost_funct:2,cost_function_deep:2,cost_function_deep_grad:2,cost_function_grad:2,cost_grad:2,cost_sum:2,costol:[13,33],could:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,17,22,23,25,28,29,30,31,32,33],coulomb:[0,28],count:[0,9,24,25,26,28],countor:[13,33],coupl:[4,5,6,30,31],cours:[0,1,3,5,11,23,24,26,29,31],courvil:[24,27,28,29,33],cov:[5,6,11,22,25,28,29,30,31],cov_xi:[5,11,29],cov_xx:[5,11,29],cov_yi:[5,11,29],covari:[0,7,21,22,28,30,32],covariance_matrix:[5,11,14,29],cover:[0,5,17,21,26,27,29,30],covert:[0,28],covxi:25,covxx:25,covxz:25,covyi:25,covyz:25,covzz:25,cpu:1,craft:3,creat:[1,2,3,4,5,9,10,11,12,21,28,30,32,33],create_biases_and_weight:1,create_convolutional_neural_network_kera:3,create_neural_network_kera:1,create_x:[5,11,29],credit:[0,7,26,28,32],crim:0,crime:0,criteria:[0,4,9,10,14,25,28],criterion:[9,10,13,32,33],critic:[6,23,29,30],critiqu:23,cross:[0,1,3,7,9,10,13,21,25,28,29,30,33],cross_entropi:4,cross_val_scor:[6,31,32],cross_valid:[7,10,32],crossvalid:[6,31],crucial:[1,25],cs231:3,cs:[24,26],csr_matrix:[22,28],csv:[0,4,6,7,9,28,31,32],ctnk:1,cubic:0,cumbersom:[5,30,31],cumsum:[10,11,28],cumul:[7,10,25],cumulative_heads_ratio:10,cup:[5,30,31],current:[1,2,3,4,13,14,27,32,33],curs:[0,29],curv:[6,7,10,12,23,32],curvatur:[13,32,33],custom:[6,14,23],custom_cmap2:[9,10],custom_cmap:[9,10],cutpoint:9,cv:[6,7,10,31,32],cvxbook:[13,32],cvxopt:[5,8,29],cycl:[1,12],cyclotron:30,d2_g_t:2,d:[1,2,3,4,5,6,7,8,9,10,11,13,14,22,25,26,28,29,30,31,32,33],d_f:[13,32,33],d_g_t:2,d_net_out:2,da:3,dagger:[5,22,29],dai:[1,9,21],damp:3,daniel:26,darget:9,darkr:25,dat:[0,28],dat_id:[0,6,7,9,28,29,31,32],data1:14,data2:14,data3:14,data4:14,data:[2,4,5,8,10,12,13,14,17,18,19,22,27,31,33],data_id:[0,6,7,9,28,29,31,32],data_indic:1,data_panda:28,data_path:[0,6,7,9,28,29,31,32],databas:1,datafil:[0,6,7,9,23,28,29,31,32],datafram:[0,4,5,7,9,11,28,29,32],datapoint:[1,5,6,7,11,13,29,31,32,33],dataset:[0,4,6,7,8,9,10,11,13,14,15,16,19,23,28,31,32,33],datatyp:4,date:[15,16,17,18,19,20,23,28,29,30,31,32,33],daughter:10,david:[27,28],davison:31,dbh:1,dbo:1,dcomposit:22,ddot:2,dead:1,deadlin:[16,17,18,19,20,24],deal:[0,1,3,5,6,8,11,13,14,17,18,22,23,25,28,29,30,32,33],dealt:0,debt:[7,32],debug:[0,5,6,30,31,32],decad:[0,3],decai:[0,13,25,28],decemb:[24,26,28],decent:10,decid:[0,2,3,5,6,9,23,30,31,32],decim:[0,28],decis:[0,1,8,11,21,27,28],decision_funct:8,decision_tre:9,decisiontreeclassifi:[9,10],decisiontreeregressor:[0,9,10],decisiontreeregressordecisiontreeregressor:9,declar:[0,4,22,28],decompos:[5,6,22,29],decomposit:[0,6,12,23,28,30],decompost:[5,29],deconvolut:3,decorrel:[10,13,33],decreas:[1,2,4,5,6,10,11,13,30,31,32,33],deduc:[0,28],deep:[3,7,12,13,21,24,27,29,33],deep_neural_network:2,deep_param:2,deep_tree_clf1:9,deep_tree_clf2:9,deep_tree_clf:[9,10],deepen:[5,21,28],deeper:[0,3,4,28],deeplearningbook:[27,28,30],deer:3,def:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,23,25,28,29,30,31,32,33],def_covari:25,default_tim:4,defect:[5,29],defici:[5,29],defin:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,22,23,25,29,30,31,32,33],definit:[1,2,5,6,7,8,10,11,12,13,17,22,25,29,30,31,32,33],defint:25,defvjp:2,defvjp_argnum:[],degre:[3,5,6,8,9,10,11,15,16,17,19,23,25,28,30,31,32],deisenroth:29,del:1,delet:6,delimit:4,deliv:[24,28],delta:[0,2,3,6,8,12,13,14,28,33],delta_0:3,delta_1:3,delta_2:3,delta_3:3,delta_4:3,delta_5:3,delta_:[1,22],delta_h:[0,1,28],delta_j:[3,12],delta_k:12,delta_l:[1,3],delta_momentum:[13,33],delta_n:[0,3,28],delug:21,delv:0,demand:[13,32,33],demonstr:[0,3,5,6,7,11,12,21,28,29,30,31,32],den:4,denomin:[1,5,30,31],denot:[1,2,6,7,13,25,32,33],dens:[1,3,4],densiti:[0,2,6,25,28,31],depart:[26,28,29,30,31,32,33],depend:[0,1,2,4,5,6,7,8,11,12,13,15,21,22,23,25,28,29,30,31,32,33],depict:25,deploy:[0,15,21,23,28],deprec:2,depth:[0,3,9,10,22,31],deriv:[0,1,2,6,7,8,10,11,13,16,17,19,21,23,28],derivati:[13,33],derivative_fn:[13,33],descend:[5,9,11,29,30],descent:[0,1,3,7,8,12,28,29],describ:[0,2,4,5,6,8,10,11,12,13,18,22,23,28,30,31,33],descript:[0,8,9,28],design:[0,1,3,4,5,6,7,10,11,12,13,15,16,17,18,19,23,28,30,31,32,33],designmatrix:[0,28],desir:[0,2,4,5,13,14,28,29,32,33],despit:[1,12],destroi:22,det:[5,22,29],detail:[0,6,11,13,14,22,23,29,32,33],detect:[3,8,12],determin:[0,2,3,4,5,6,8,9,10,11,12,13,16,22,25,28,29,30,31,32,33],determinist:[7,13,25,32,33],dev:[1,23],develop:[0,3,5,8,10,11,12,21,22,23,28,29,30,31],deviat:[0,1,2,4,5,6,19,23,25,28,29,30,31],devic:[3,4,14],devis:12,df1:28,df:[4,8,11,13,28,33],di:0,diag:[5,8,29,30],diagnost:[1,10],diagon:[0,5,7,13,18,22,23,25,28,29,30,32,33],diagonaliz:[5,29],diagram:10,diagsvd:6,dice:[6,25,31],dict:[6,8,32],dictionari:0,did:[0,1,5,6,7,10,11,14,23,28,30,31,32,33],die:1,diff1:2,diff2:2,diff:2,diff_ag:2,diffeent:8,differ:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,15,17,21,22,23,25,27,28,29,30,31,32],differenti:[0,3,16,21,22,28,29,32],differential_oper:2,difficult:[0,1,6,10,13,23,25,28,31,33],difficulti:[0,1,13,28,32,33],diffonedim:2,digit:[0,1,3,4,6,23,24,26,28],dilemma:[13,33],dilut:1,dim:[4,11,14,22],dimens:[0,1,2,3,4,5,8,9,11,14,16,17,22,28,29,30],dimension:[0,4,5,6,9,11,13,14,19,21,22,28,30,31,32,33],dimensionless:[0,3,28],diment:22,dimnsion:4,diod:3,direct:[0,1,2,4,7,11,12,13,14,28,29,32,33],directli:[1,4,5,6,25,29],directori:[0,7,32],disadvantag:[0,28],disappear:[3,6,31],disc_loss:4,disc_tap:4,discard:[6,11,31,32],disciplin:[0,3,12],disclaim:25,discord:28,discourag:[13,32,33],discov:[0,28],discover:[5,30],discret:[1,3,5,7,13,30,31,32,33],discrimin:[4,7,10,11,32],discriminator_loss:4,discriminator_loss_list:4,discriminator_model:4,discriminator_optim:4,discuss:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,25,27,28,29,30,31,33],diseas:[7,32],disguis:[6,29,30],disord:[1,7,32],displai:[0,1,3,4,5,6,7,8,9,10,11,12,14,23,25,28,29,31,32],displaystyl:[0,5,17,28,29,30],disregard:[0,28],dissimilar:[11,14],dist:14,distanc:[0,8,9,11,14,25],distance_list:9,distinct:[3,7,8,9,10,14,32],distinctli:8,distinguish:[0,4,7,8,25,28,32],distplot:0,distribut:[0,1,4,6,7,10,11,13,14,15,16,18,19,21,22,23,28,29,32,33],distrubut:[0,15,21,23,28],dive:[0,8,22,28],diverg:[1,13,32,33],divid:[0,1,3,5,6,7,8,9,11,12,25,28,29,30,31,32],divis:[6,8,9,13,22,25,31,32,33],dlopen:[3,4,14],dna:[7,32],dnn1:4,dnn2_gru2:4,dnn:[0,1,2,4,12,28],dnn_kera:1,dnn_model:1,dnn_numpi:1,dnn_scikit:[0,1,28],doamin:[30,31],doc:[0,6,16,17,19,20,21,23,24,26,27,28,32,33],document:[4,9,11,13,32],doe:[0,1,2,3,4,5,6,8,10,11,12,13,14,16,22,23,25,28,31,32,33],doesn:[3,9,12],dog:[1,3,4],domain:[5,8,13,23,30,31,32,33],domin:[0,28],don:[0,1,3,5,6,7,8,11,13,15,21,23,28,29,32,33],done:[0,2,3,4,5,6,9,10,11,13,17,22,23,28,29,30,31,32,33],dot:[0,2,3,5,6,7,8,9,10,11,12,13,22,23,25,28,29,30,31,32],doubl:[3,4,22,28],doubli:1,doubt:23,down:[0,3,6,9,11,12,13,32,33],download:[0,1,3,5,6,22,23,27,28],downsampl:3,dozen:1,dq:[6,31],drag:[13,33],dramat:11,drastic:4,draw:[4,6,10,13,31,32,33],drawback:[0,1,3,13,29,32,33],drawn:[1,4,6,7,11,25,28,31,32],drive:[3,4],driven:3,drop:[0,1,5,6,11,13,25,28,29,30,31,33],dropna:[0,6,28,31],dropout:4,dt:[2,3,13,25,33],dtype:[0,1,2,3,4,14,22,28,29],dual:8,dualiti:6,dub:[0,28],due:[1,2,5,6,8,10,12,13,26,28,29,31,32,33],dummi:0,dure:[0,1,3,4,8,9,11,17,20,21,23,28,31,33],dwell:0,dwh:1,dwo:1,dx:[2,3,8,25],dx_1:25,dx_1p:[6,31],dx_2p:[6,31],dx_mp:[6,31],dx_n:25,dxp:[6,31],dy:[1,8,25],dylib:[3,4,14],dynam:4,dz:8,e:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,18,19,25,26,28,29,30,31,32,33],e_:[0,2,28],each:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,21,22,24,25,26,28,29,30,31,33],eager:31,eapprox:[0,28],earli:[1,13,33],earlier:[0,5,7,8,9,11,12,13,20,28,29,32,33],earthexplor:[6,23],eas:[6,9,14,31],easi:[0,5,6,7,8,9,10,11,12,13,18,21,22,28,29,30,31,32,33],easier:[5,6,8,9,13,25,28,29,31,33],easiest:[13,32,33],easili:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,22,23,28,29,30,31,32,33],eastern:[26,28],ebind:[0,28],eblock:9,econometr:28,economi:5,ecosystem:[21,28],ect:24,edg:3,edgecolor:[6,31],edu:[13,32],educ:[0,23,28,32],eff:25,effect:[1,4,10,13,25,33],effic:1,effici:[0,3,10,13,21,22,25,28,32,33],efron:[6,31],egrad:[13,33],eig:[5,11,13,22,25,28,29,32,33],eigen:25,eigenpair:[5,11,29],eigenvalu:[0,5,8,11,13,22,28,29,30,32,33],eigenvector:[5,11,13,17,29,30,33],eight:[22,28],eigval:[22,25,28],eigvalu:[11,13,32,33],eigvec:[22,25,28],eigvector:[11,13,32,33],eispack:[22,28],either:[1,5,6,7,8,9,10,11,13,15,16,23,25,28,29,30,31,32,33],elabor:25,elarn:3,electr:[0,3,12,28],electron:28,eleg:11,element:[1,2,3,4,5,6,7,8,11,12,13,17,18,20,21,22,23,24,27,29,30,31,32],elementari:[10,13,22,33],elementwis:[3,13,33],elementwise_grad:[2,13,33],elessar:28,elif:[2,14],elim:22,elimin:[3,8],els:[1,2,3,4,7,9,12,13,14,22,32,33],elu:1,elus:[0,28],email:[24,26,28],embed:[0,11,29],embodi:[6,19,23,31],emit:25,emner:27,emphas:[0,10,21,28],emphasi:[0,21,27,28],empir:[1,11,25],emploi:[0,1,5,6,11,13,23,25,28,29,30,31,32,33],employ:0,empti:[6,10,31],emul:12,en:[21,27],enabl:11,enbodi:[6,31],encod:[0,3,5,7,9,11,14,17,28,29,30,32],encompass:[0,23,25],encount:[0,1,5,6,7,13,25,28,29,31,32,33],encourag:23,end:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,22,23,25,26,28,29,30,31,32,33],end_box:[],end_nod:2,end_valu:[],endpoint:[3,6],energi:[0,4,6,29,31],enet_coordinate_desc:6,enforc:12,eng:27,engin:[0,1,3,4,21,28],english:23,enocurag:23,enoent:[3,4,14],enorm:3,enough:[0,6,13,28,31,32,33],ensembl:[1,9],ensur:[0,1,2,3,5,6,11,13,25,29,30,31,32,33],entail:28,enter:[5,6,17,29,30],enthought:[0,15,21,23,28],entir:[1,3,7,9,21,25,28,32,33],entiti:[9,12,22,28],entri:[0,5,8,11,12,22,28,29,30,31],entropi:[1,3,7,10,13,28,33],enumer:[0,1,2,3,4,6,8,28,29,30],env:[0,2,3,4,6,7,8,9,11,14,25,28,30,32],environ:[2,9,21,23],eo:[0,6,28,31],eol:[0,28],eosfit:[0,28],epoch:[0,1,3,4,12,13,28,33],epsilon:[0,5,6,7,13,19,23,28,29,30,31,32,33],epsilon_0:[0,28],epsilon_1:[0,28],epsilon_2:[0,28],epsilon_:[0,28],epsilon_i:[0,28,29],eq:[3,13,14,22,25,32,33],eqnarrai:[3,5,6,30,31],equal:[0,1,2,3,4,5,6,8,9,11,12,13,14,15,22,23,25,28,29,30,31,32,33],equat:[1,3,4,5,6,7,8,9,10,11,13,14,16,17,18,19,22,23,25,31],equilibrium:[2,12],equiv:[3,13,22,25,32,33],equival:[0,1,5,7,8,11,13,21,22,28,29,30,31,33],erf:25,eriador:28,eridg:28,err:[0,7,10,32],err_:[6,31],err_sqr:2,errat:[13,32,33],errno:[0,3,4,7,14,32],erron:2,error:[1,2,4,5,6,7,9,11,12,13,15,16,17,18,19,21,22,23,25,30,32,33],error_estimate_corr_tim:25,error_hidden:1,error_output:1,escap:[13,32,33],especi:[1,3,9,12,13,23,33],essenti:[0,5,6,9,10,12,14,23,25,29],establish:[0,6,10,11,15,23,28],estim:[0,1,5,6,7,10,11,13,21,25,28,29,32,33],estimated_mse_fold:[6,31,32],estimated_mse_kfold:[6,31,32],estimated_mse_sklearn:[6,31,32],et:[0,2,4,15,16,17,23,27,28,29,30,31,32,33],eta0:[8,13,32,33],eta:[0,1,3,8,12,13,28,32,33],eta_:[13,33],eta_t:[13,33],eta_v:[0,1,3,28],etc:[0,1,3,5,7,8,9,11,12,13,14,15,21,22,23,25,29,32,33],ethic:21,etsim:31,euclidean:[0,14,29],evalu:[0,2,3,4,5,6,9,13,23,25,28,29,30,31,32,33],evaluationform:[20,23,33],evaluationgrad:[20,23,33],evalut:[13,33],even:[0,1,3,4,5,6,8,9,10,11,12,13,14,21,22,25,28,29,30,31,32,33],evenli:4,event:[5,7,10,25,30,31,32],eventu:[0,5,6,11,12,13,23,26,29,30,31,32,33],everi:[0,1,2,3,4,5,6,9,10,11,12,13,14,21,25,26,28,29,30,31,32,33],everyth:[4,12],everywher:[4,13,32,33],evolv:0,exact:[0,5,11,12,13,22,25,28,29,33],exactli:[0,3,4,6,12,21,23,29,31],exam:28,examin:[6,31],exampl:[5,11,12,13,15,16,19,20,21,22,23,25,27],exce:[1,12,13,33],excel:[0,1,4,5,10,28,29],except:[0,3,4,6,7,8,9,22,32],excess:[0,28],excit:0,exclud:[1,6,12,23,29,30,31,32],exclus:[0,1,3,6,25,28,31,32],execut:[2,5,13,29,33],exemplifi:[13,33],exercic:[26,28],exercis:[5,21,23,24,26,30,31,32,33],exercisesweek35:17,exhaust:[6,31,32],exhibit:[0,5,6,8,28,29,31],exist:[0,1,2,3,4,5,6,7,8,9,13,14,18,22,23,28,29,30,31,32,33],exit:[5,22,29],exp:[0,1,2,5,6,7,8,10,11,12,13,15,16,23,25,28,29,30,31,32,33],exp_term:1,expand:[5,7,11,13,29,32,33],expandus:[0,7,32],expans:[0,3,5,8,10,12,13,28,29,32,33],expect:[0,1,5,6,7,11,12,13,15,16,19,21,23,28,29,32,33],expectation_value_of_h_wrt_p:25,expens:[6,10,13,32,33],experi:[0,1,6,8,13,21,23,28,29,31,32,33],experiment:[0,4,6,9,25,28,31],expert:[1,9],explain:[0,6,9,10,11,13,19,23,28,32,33],explained_variance_ratio_:11,explanatori:[0,28],explicit:[0,3,6,13,22,23,28,29,30,33],explicitli:[0,4,8],explod:1,exploit:[0,3,12,13,28,33],explor:[1,4,6,8,13,21,23,32,33],expon:1,exponenti:[0,1,5,6,10,13,23,25,28,30,31,32,33],export_graphviz:9,export_text:9,exporttext:9,expos:21,express:[0,2,3,5,6,7,10,12,13,16,22,23,25,28,30,31],exptmean:25,exptvari:25,extend:[0,2,7,11,13,17,21,28],extens:[0,12,15,21,28],extent:[0,1,6,27,31],extern:[3,6,9],extra:[1,3,5,26,28,29],extract:[0,3,5,6,7,8,11,13,22,28,29,32,33],extrapol:[0,28],extrem:[0,1,4,5,6,7,8,9,13,16,22,29,30,31,32,33],extremum:[13,32,33],extrins:11,ey:[0,5,6,13,14,22,28,30,32,33],f11:[0,28],f12:[0,28],f13:[0,28],f1:[13,33],f1_grad:[13,33],f1d:[13,33],f2:[13,33],f2_grad_x1:[13,33],f2_grad_x1_analyt:[13,33],f2_grad_x2:[13,33],f2_grad_x2_analyt:[13,33],f3:[13,33],f3_grad:[13,33],f3_grad_analyt:[13,33],f4:[13,33],f4_grad:[13,33],f4_grad_analyt:[13,33],f5:[13,33],f5_grad:[13,33],f6:[13,33],f6_for:[13,33],f6_for_grad:[13,33],f6_grad_analyt:[13,33],f6_while:[13,33],f6_while_grad:[13,33],f7:[13,33],f7_grad:[13,33],f7_grad_analyt:[13,33],f8:[13,33],f8_grad:[13,33],f9:[0,13,28,33],f9_altern:[13,33],f9_alternative_grad:[13,33],f9_grad:[13,33],f:[0,1,2,3,4,5,6,7,8,10,12,13,14,16,18,19,22,25,26,28,29,30,31,32,33],f_0:[3,10],f_1:[10,13,32,33],f_2:[12,13,32,33],f_3:12,f_:10,f_d:25,f_grad:[13,33],f_grad_analyt:[13,33],f_i:[0,6,12,16,31],f_m:[3,10],f_n:3,f_raw:2,f_vec:2,f_wrap:2,face:[13,32,33],facecolor:[6,8,25,31],facil:[0,15,21,28,32,33],facilit:12,fact:[0,1,3,5,9,11,12,13,28,29,30,31,32,33],factor:[0,1,3,5,6,9,10,11,13,22,25,28,29,30,31,33],factori:[13,33],fade:6,fafab0:[9,10],fahimeh:[26,28],fail:[0,6,8,9,11,13,26,28,31,32,33],fail_on_error:[0,7,32],failur:[7,32],fairli:[1,2,25],faisal:[16,29],fake:4,fake_loss:4,fake_output:4,fall:[8,9,24],fals:[0,1,2,3,4,5,6,7,9,10,14,22,23,28,29,30,31,32,33],famili:[0,7,8,25,32],familiar:[0,3,5,6,8,15,21,22,23,25,28,30,31],famou:[6,12],far:[0,3,4,5,6,8,11,12,13,14,28,29,32,33],fashion:[0,9,10,28],fast:[1,3,6,10,12,13,21,25,28,31,32,33],faster:[1,11,13,33],fastest:[13,22,32,33],favor:[7,32],favorit:25,fc:3,fd:[0,7,32],featur:[0,1,3,5,6,7,8,10,11,12,13,18,21,23,25,28,30,31,32,33],feature_nam:[0,1,7,9,32],feautur:9,fed:1,feed:[0,2,3,11,21,28],feed_forward:1,feed_forward_out:1,feed_forward_train:1,feedback:[4,20,28],feeddorward:4,feedforward:[1,4,12],feel:[0,5,6,11,13,15,16,21,23,26,28,30,33],feet:0,felt:23,fetch:[6,23],few:[1,3,4,5,9,25,28,33],fewer:[0,9,11,28],ffnn:[1,12],field:[0,3,6,12,21],fifth:[0,6,15,16,23,28],fig:[0,1,2,3,4,6,7,12,13,14,23,28,32,33],fig_id:[0,6,7,9,28,29,31,32],figaxi:25,figsiz:[0,1,2,3,4,6,7,8,9,10,28,31,32],figur:[0,1,2,3,4,5,6,7,8,9,10,12,13,14,15,16,21,23,28,29,30,31,32,33],figure_id:[0,6,7,9,28,29,31,32],figurefil:[0,6,7,9,28,29,31,32],file:[0,2,3,4,5,6,7,9,14,23,28,29,30,31,32],file_prefix:4,filenam:28,filenotfounderror:[0,7,32],fill:[5,9,29],filter:[0,3,4,7,32],financ:0,find:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,21,23,25,28,29,30,32],fine:[0,14,15,28],finish:2,finit:[3,5,6,12,13,17,25,29,30,31,33],first:[0,1,2,3,5,6,7,8,9,10,11,13,14,15,16,17,22,23,25,26,27,31],first_moment:33,first_term:33,firsteigvector:11,fit:[1,3,4,5,6,7,8,9,11,12,13,15,16,17,23,25,29,31,32,33],fit_beta:[6,29,30],fit_intercept:[0,5,6,29,30,31],fit_mod:9,fit_transform:[0,6,8,9,11,31,32],fiti:[0,28],five:[0,9,17,23,28,29,32],fix:[0,3,4,6,10,11,12,13,23,28,31,32,33],fixedloc:6,flag:4,flat:[3,4,12,13,14,32,33],flatten:[1,3,4,5,22],flexibl:[1,6,8,10,12,28,31],flip:[26,28],float32:[4,9],float64:[4,22,28,29],floor:[],flop:[5,22,29],flow:[1,4,12],fluctuat:[5,30],fly:11,fm:[0,28],fmax:3,fmesh:[13,33],fn:7,fname:[0,7,32],focu:[0,3,4,5,6,15,21,27,28,29,30,31],focus:[1,6,7,22,29,30,32],fold:[6,9,23],folder:[0,1,3,4,6,14,23,28,31],follow:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30,31,32,33],font:[0,7,25,28,32],fontdict:25,fontsiz:[1,6,8,9,10,25],fontweight:1,footprint:3,foral:[8,29],forc:[0,5,6,10,11,28,29,30,32],forcast:4,forecast:[4,12],forest:[0,1,9,21,28],forget:11,form:[0,3,4,5,6,7,8,9,11,12,13,17,21,22,23,25,28,29,30,31,32,33],formal:[3,4,14,25],format:[0,1,2,3,4,6,7,8,9,10,11,21,25,27,29,30,31,32],format_data:4,formatstrformatt:[6,13,23,32,33],formul:[4,6,11,14],formula:[3,13,25,32,33],forth:[4,12],fortran2003:[21,28],fortran2008:23,fortran90:25,fortran:[0,15,21,22,28],fortun:[0,11,29],forward:[0,3,6,21,22,28,31],foster:28,found:[1,2,3,4,5,6,12,13,14,19,20,23,28,29,30,31,33],foundat:[21,28],four:[4,5,6,8,12,22,23,24,26,28,30],fourier:[0,28],fourierdef1:3,fourierdef2:3,fourierseriessign:3,fourth:[12,28,29],fp:7,frac:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,19,22,23,25,28,29,30,31,32,33],fractal:9,fraction:9,frame:[7,32],framework:[1,3,4,8,10,14,25],frank:[5,11],frankefunct:[5,6,11,23,29],fredli:[26,28],free:[0,6,11,13,15,16,21,22,23,25,26,27,28,33],freecodecamp:21,freedom:[5,30],freeli:[0,23],frequenc:[3,6,7,25,31,32],frequent:[0,8,9,13,32,33],frequentist:21,fresh:10,fridai:[16,17,18,19,20,26,28],friedman:[6,18,23,24,27,28],friendli:4,frodo:28,frog:3,from:[0,1,2,3,4,6,7,8,9,11,13,14,16,17,18,19,21,22,23,25,26,27,28],from_cod:9,from_logit:[3,4],from_tensor_slic:4,fromnumer:2,front:[0,4,5,15,16,28,29,30],fulfil:[2,5,12,29],full:[0,1,3,5,7,9,10,13,25,28,29,32,33],full_matric:[5,29],fulli:[3,6,12,24,25,31,32],fun:[2,21,28],fun_nam:[],func:2,functionali:11,fundament:[0,6,21,28,31],funtion:2,further:[2,7,9,28],furthermor:[0,3,5,6,7,11,12,13,17,21,23,28,29,30,31,32,33],futur:[0,4,8,9,28],futurewarn:8,fy:[15,23,24,26,27,28],fys4155:23,fys5419:[27,28],fys5429:[27,28],g0:2,g:[0,1,2,3,4,6,8,9,10,11,13,25,28,30,31,32,33],g_0:2,g_1:[2,10],g_2:[2,10],g_:[2,9,10],g_analyt:2,g_dnn_ag:2,g_euler:2,g_i:2,g_m:[3,10],g_n:3,g_re:2,g_t:2,g_t_d2t:2,g_t_d2x:2,g_t_dt:2,g_t_hessian:2,g_t_hessian_func:2,g_t_jacobian:2,g_t_jacobian_func:2,g_trial:2,g_trial_deep:2,g_vec:2,gain:[1,5,7,9,10,13,29,30,31,33],galleri:[0,28],game:4,gamge:28,gamma1:8,gamma2:8,gamma:[0,2,8,9,10,11,13,28,32,33],gamma_0:10,gamma_1:10,gamma_1x:10,gamma_:[0,28],gamma_i:[0,8,25,28],gamma_j:[13,33],gamma_k:[13,32,33],gamma_m:10,gamma_x:[0,28],gap:[6,8],gate:[4,12],gather:[0,1,12,29],gaug:12,gaussbacksub:22,gaussian:[4,5,6,8,14,25,30,31],gaussian_point:14,gaussian_rbf:8,gave:[13,33],gavra:28,gbc:[24,28],gca:[2,6,8,13],gd:[1,32],gd_clf:10,gdclassiffiercgain:10,gdclassiffierconfus:10,gdclassiffierroc:10,gdm:[13,33],gdregress:10,ge:[1,5,7,25,29,32],gen:[0,7,32],gen_loss:4,gen_tap:4,gender:[0,28],genener:4,gener:[0,1,2,3,5,6,8,10,11,12,13,14,15,16,17,19,20,22,23,25,27,29,30,31,32,33],generallay:12,generate_and_save_imag:4,generate_imag:4,generate_latent_point:4,generate_simple_clustering_dataset:14,generated_imag:4,generator_loss:4,generator_loss_list:4,generator_model:4,generator_optim:4,genom:21,geodes:11,geometr:[0,13,28],geometri:[5,30,31],georg:27,geotif:[6,23],geq:[2,5,8,9,13,29,30,32,33],geron:[0,15,24,27,28,33],get:[0,1,2,3,4,5,6,7,9,10,11,13,15,20,21,22,23,25,26,28,29,30,31,32,33],get_dummi:9,get_paramet:2,get_split:9,get_yaxi:8,get_yticklabel:6,getattr:[],gg:28,gibb:[21,28],gif:4,gini:10,gini_index:9,ginvers:13,git:[0,15,21,28],giter:[13,33],github:[0,6,9,15,16,17,19,20,21,23,24,26,27,28,29,32,33],gitlab:[0,15,21,23,28],give:[0,1,2,3,5,6,7,8,9,10,12,13,14,17,21,23,25,28,29,30,31,32,33],given:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,22,23,25,28,29,30,31,32,33],global:[6,7,13,23,32,33],glorot:1,gnew:13,go:[0,1,3,5,6,8,9,11,12,13,23,28,29,30,31,32,33],goal:[0,7,9,28,32],goe:[0,1,2,5,6,13,14,18,22,28,29,30,31,32,33],golden:[13,33],gone:[5,29,30],gong:1,good:[1,3,4,5,6,9,10,11,13,17,21,25,27,29,30,31,32,33],goodfellow:[4,24,27,28,29,30,32,33],googl:[1,4,21,28],got:[1,6,13,23],gotten:28,gov:[6,23],gp:27,gpu:[1,13,21,28,33],grad:[2,13,33],grad_analyt:[13,33],grad_concatenate_arg:[],grade:[23,24],gradient:[0,3,4,7,8,9,12,21,28,29],gradient_desc:33,gradientboostingclassifi:10,gradientboostingregressor:10,gradients_of_discrimin:4,gradients_of_gener:4,gradienttap:4,gradual:[1,14],grai:[4,6,23],graph:[1,9,11,12,13,32,33],graph_from_dot_data:9,graphic:[0,1,9,28],grasp:0,gray_r:[1,3],grayscal:3,great:[5,13,32,33],greater:[1,7,25,32],greatli:[13,33],greedi:[9,32],green:[0,3,9,25],grei:4,grid:[1,3,6,7,8,12,25,29,30,31],gridsearch:32,gridsearchcv:32,grossli:[13,32,33],ground:[0,28],group:[0,6,7,9,14,21,23,24,26,28,31],groupbi:[0,28],grow:[1,3,9,10],growth:[0,28],gru:4,guarante:[0,4,13,25,28,29,32,33],guess:[1,4,10,13,14,32,33],guestrin:10,guid:1,guidanc:23,guidelin:[20,33],h1:2,h:[0,1,5,6,8,13,16,18,23,25,26,27,28,29,32,33],h_1:[2,13,32,33],h_2:[2,13,32,33],h_:[0,13,28,32,33],h_m:10,ha:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,22,23,25,28,29,30,31,32,33],haa:26,habit:[0,29],had:[0,1,6,7,13,28,31,32,33],hadamard:[1,12,13,33],half:[1,8,9],halv:10,hand:[0,1,2,3,5,11,12,13,15,21,22,23,24,25,26,27,28,29,30,31,32,33],handi:[3,23],handl:[0,1,2,5,9,11,21,30],handle_unknown:9,handsid:12,handwrit:12,handwritten:[1,5],handwrittennot:32,happen:[1,2,3,4,5,6,10,13,25,29,33],hard:[1,7,8,10,13,32,33],hardcopi:[21,28],harder:[0,1,29],harmon:3,hasn:[],hassl:[0,15,21,28],hast:[21,28],hasti:[0,6,15,16,17,18,23,24,27,28,29,31,32],hat:[0,1,5,6,7,9,10,11,12,13,17,18,22,23,29,30,31,33],have:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,21,22,23,25,26,28,29,30,31,32,33],haven:1,he:[7,32],head:[0,4,10,25],header:[0,28],heads_proba:10,health:[0,29],hear:[0,13,28,33],heart:[0,7,28,32],heatmap:[0,1,3,7,28,32],heavili:0,heavisid:1,height:[1,3,6,29,30],held:[13,33],help:[0,1,4,12,13,16,23,28,33],helper:[4,14],henc:[0,5,6,8,9,10,12,13,18,23,28,29,30,31,32,33],henrik:[26,28],her:[7,32],here:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,25,28,29,30,31,32,33],hereaft:[0,8,12,28],hermitian:22,hessenberg:22,hessian:[0,2,5,13,16,30],heterogen:[9,10],hi:[7,32],hidden:[1,3,4,12],hidden_bia:1,hidden_bias_gradi:1,hidden_layer_s:[0,1,28],hidden_neuron:4,hidden_weight:1,hidden_weights_gradi:1,hierarch:[5,29,30],high:[0,1,2,3,4,5,6,9,10,11,13,14,21,22,23,28,29,31,32,33],higher:[0,1,3,5,6,8,13,23,28,29,30,31,32,33],highest:[1,2],highli:[0,3,4,10,18,21,22,27,28,29,30,31],highwai:0,hing:8,hint:[13,16,29,30,32,33],hip:21,hire:0,hist:[4,6,7,25,31,32],histogram:[0,6,7,25,32],histor:[7,11,32],histori:[3,4,12],hitherto:[5,30],hjorth:[26,28,29,30,31,32,33],hobbi:25,hoc:[5,29],hoff:27,hold:[1,3,6,13,14,31,32,33],holder:[0,28],holomorphic_grad:2,home:0,homepag:[23,28],homework:[6,13],homogen:[1,3,9,10,13,33],honchar:2,hopefulli:[0,11,25,28],horizont:11,hors:[3,7,32],hot:[1,9],hour:[1,21,24,25,26,28],how:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,21,22,23,25,28,29,30,31,33],howev:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,21,22,23,25,28,29,30,31,32,33],hspace:[0,4,8,10,25,28],hstack:1,htf:[24,28],html:[0,9,11,17,19,21,23,24,26,27,28,30],http:[0,3,4,6,9,11,13,16,17,19,20,21,22,23,24,26,27,28,29,30,31,32,33],huang:[0,28],huber:[0,28],huge:[1,3,4,21],human:[0,1,3,6,9,12,29,30],humid:9,hundr:1,hungri:1,huse:28,hybrid:24,hydrogen:[0,28],hyperbol:[1,4,12],hyperparam:8,hyperparamet:[3,4,5,6,9,13,17,28,29,30,32,33],hyperplan:11,i0:[0,28],i1:[0,6,8,12,28,29,30],i2:[0,8,12,28],i3:[0,12,28],i5:[0,28],i:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,22,23,25,26,28,29,30,31,32,33],i_1:[5,6,30,31],i_2:[5,6,30,31],i_:[13,32,33],ian:27,ic:1,id:[7,13,32,33],ida:[26,28],idea:[0,1,2,3,4,6,9,10,12,13,22,23,29,30,31,32,33],ideal:[0,2,6,8,13,25,28,31],idem:[6,31],ident:[5,6,12,13,17,22,23,29,33],identical:[30,31],identifi:[0,1,7,9,11,12,13,14,28,29,32,33],ieor:25,ifi:27,ifs:[21,28],ignor:[0,1,3,9,29],ii:[22,25],iii:[22,28],ij:[0,1,3,6,8,12,14,16,18,22,23,25,28,29,30],ik:[0,22,28,29],illustr:[5,7,10,12,13,14,21,28,31,32,33],ilsvrc:33,im:6,imag:[1,3,4,6,9,11,12,14,27,28],image_at_epoch_:4,image_batch:4,image_height:3,image_path:[0,6,7,9,28,29,31,32],image_width:3,imageio:[6,23],images_from_seed_imag:4,imagin:1,immedi:[0,3,4,6,15,21,28],implement:[0,2,3,4,5,6,8,9,10,11,12,13,14,17,23,25,28,29,30,32,33],impli:[3,5,6,7,13,22,29,30,31,32,33],implicit:3,implicitli:[11,25],importantli:3,impos:[0,6,11,12,28],imposs:[0,5,28,29],impress:[0,12,28],improv:[0,4,5,9,10,11,13,23,29],impur:9,imread:[6,23],imshow:[1,3,4,6,23],in1:[],in2:[],in3050:[27,28],in3310:28,in4080:[27,28],in4300:[27,28],in4310:27,in5400:3,in5550:27,in_out_neuron:4,inaccur:[13,32,33],inact:12,inadequ:[0,28],inch:[6,29,30],includ:[0,1,2,3,4,5,6,7,11,12,15,16,17,20,21,23,25,26,27,28,29,30,31],include_bia:[6,9,31],inclus:17,incom:12,incorrect:1,incoveni:8,increas:[0,1,3,4,5,6,8,9,11,12,13,23,25,28,29,30,31,33],increasingli:25,increment:33,ind:6,inde:[0,2,4,5,6,13,28,29],indefinit:4,independ:[0,5,6,7,8,12,13,25,28,29,32,33],index:[0,1,3,4,10,14,21,22,25,27,28],index_col:[0,28],indic:[0,1,3,4,5,6,9,10,11,13,16,23,28,29,33],indispens:[6,31],individu:[1,6,7,10,12,25,28,29,31,32],indu:0,indx1:2,indx2:2,indx3:2,indx:22,ineffici:[3,13,33],inequ:[8,13],inequaltii:[32,33],inertia:[13,33],inf1000:[21,28],inf1100:[21,28],inf1100l:[21,28],inf1110:[21,28],inf3000:28,infeas:9,infer:[0,1,4,6,27,28,31],inferenc:1,infil:[0,6,7,9,28,31,32],infin:[5,6,7,11,18,29,30,31,32],infinit:3,infinitesim:25,influenc:[6,10,31,32],influenti:1,info:28,inform:[0,1,3,4,6,9,11,12,13,14,22,23,27,28,31,32,33],infti:[3,6,13,25,31,32,33],ingeni:[13,32,33],ingrad:2,ingredi:[0,9,28],inher:[6,31],inherit:[22,28],initi:[0,1,2,6,10,13,14,22,25,28,31,32,33],inject:14,inlin:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,22,23,25,28,29,30,31,32,33],inner:[0,13,29,33],inp:4,inplac:13,input:[0,1,3,4,5,6,7,8,12,13,14,23,25,28,29,30,31,32,33],input_dim:1,input_shap:[3,4],inputs:1,inputs_shuffl:[0,1,29],insert:[3,5,6,8,10,25,29,30,31],insid:[0,4,7,32],insight:[0,1,5,21,28,29,30,31],insist:[6,13,29,30,33],inspect:32,inspir:[0,1,12,28],instabl:2,instal:[0,1,5,6,9,15],instanc:[0,1,2,4,6,9,11,13,28,29,31,32,33],instanti:10,instead:[0,1,2,3,4,5,6,8,9,11,13,14,22,23,25,28,29,31,32,33],institut:1,instruct:[0,1,15,16,28],int32:10,int_0:25,int_:[3,6,25,31],int_a:25,intak:[0,29],integ:[1,2,13,14,22,25,28,33],integer_vector:1,integr:[3,6,25,28,31],intellig:[0,14,27,28],intend:10,intens:1,intention:14,interact:[0,6,9,12,21,23,28],intercept:[0,6,8,11,13,16,23,28,30,31,32,33],intercept_:[0,6,8,9,13,28,29,30,32,33],interchang:[5,12,22,30,31],interconnect:1,interest:[0,1,2,3,4,5,6,7,8,9,12,21,23,25,28,29,30,31,32,33],interfac:[0,1,22,29],interior:[0,9,28],intermedi:[22,29],intern:[1,2,10,12],interpol:[1,3,4,6,12,23],interpr:[5,29,30],interpret:[0,1,6,9,10,12,13,17,19,22,23,25],interv:[0,3,5,6,7,13,18,23,25,28,29,30,32,33],intial:[13,32,33],intract:[0,4,29],intrins:[3,11,22,25,28],intro:[21,27,28],introduc:[0,1,5,6,8,10,12,17,22,23,25,28,31,32],introduct:[1,2,4,13,17,20,27,29,32,33],introductori:[0,4,22,27,28,29],intuit:[0,5,6,8,12,13,23,28,30,31,33],inv:[0,5,13,28,29,30,32,33],invalid:[1,8],invalu:[0,13,15,21,28,32,33],invari:1,invd:[5,30],inver:8,invers:[0,3,6,13,15,16,17,23,28,29,32,33],inverse_transform:8,invert:[0,5,7,10,13,28,30,32,33],invh:[13,33],invok:[0,8],involv:[0,2,6,7,11,12,29,31,32,33],io:[0,17,19,21,23,24,26,27,28,29],ip:[0,8,25,28],ipca:11,ipykernel_1323:[],ipykernel_1390:[],ipykernel_1539:[],ipykernel_1579:[],ipykernel_58656:[],ipykernel_58739:[],ipykernel_58840:[],ipykernel_58862:[],ipykernel_6316:[],ipykernel_6403:[],ipykernel_6690:[],ipykernel_6729:[],ipykernel_95354:1,ipykernel_95419:6,ipykernel_95519:28,ipykernel_95542:31,ipynb:[21,23,28],ipython:[0,5,7,9,11,14,15,21,23,28,29,32],iq:[6,31],iri:[8,9],irreduc:[6,31],irrelev:[5,29],irrespect:[0,28],isbox:[],iscomplexobj:2,iseffici:33,isn:[5,30,31],isnul:0,isomap:11,isotop:[28,32,33],issu:[1,9,22,30],it_arrai:[13,33],item:[0,13,28,33],items:[22,28],iter:[1,2,4,6,8,9,11,13,14,25,31,32],its:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,18,21,22,23,25,28,30,31,32,33],itself:[5,6,12,19,23,25,29,30,31],j1:22,j:[0,1,2,3,4,5,6,8,9,11,12,13,14,16,17,18,19,22,23,25,27,28,29,30,31,32,33],j_:6,j_lasso_sk:6,j_ridge_sk:6,j_sk:6,jackknif:[6,21,28,31],jacobian:[2,13,32,33],jacobian_shap:[],jakobsen:26,jason:4,jax:[21,28],jensen:[26,28,29,30,31,32,33],jerom:[18,23,27],ji:[12,22],jit:[13,33],jj:[0,5,6,28,30,31],jk:[0,1,6,12,22,28],jl:[0,28],jm:22,jnp:[13,33],job:[2,8,10],johansen:28,join:[0,3,4,6,7,9,14,28,29,31,32],joint:[4,5,30,31],judg:[13,32,33],judgement:[6,23],julia:[21,22,23],jump:[23,25],junk:4,jupit:28,jupyt:[0,9,15,19,21,23,27,28],just:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,21,23,25,28,29,30,31,32,33],justif:0,justifi:[3,10],k0:[7,32],k1:[7,32],k:[0,1,3,5,6,7,8,9,10,11,12,13,14,21,22,23,25,26,28,29,30,33],kaggl:[6,23],kappa_d:25,karl:[26,28],karush:8,katrin:[26,28],keep:[0,1,4,5,6,11,13,14,22,23,28,29,30,31,32,33],keepdim:[1,2,6,10,22,31],kei:[0,1,3,6,12,29],kept:[4,6,14,31],kera:[0,4,21,23,28],kernel:[0,1,3,4,14,21,28,29],kernel_librari:[3,4,14],kernel_regular:[1,3],kernel_s:4,kernelpca:11,kev:[0,28],kevin:[27,28],keyboardinterrupt:[1,2],keyerror:[],keyword:[6,13,22,28],kfold:[6,31,32],kg:1,ki:22,kick:[1,13,33],kiener:2,kilomet:[6,29,30],kind:[0,2,3,4,8,12,13,14,28,29,33],kj:[6,12,22,29,30],kjm:[21,28],kkt:8,kl:25,km:[12,28],kmean:14,kmeanspoint:14,kn_k:14,know:[0,1,2,5,6,8,13,21,28,29,30,32,33],knowledg:[0,21,28],known:[1,3,4,5,6,7,8,9,12,22,23,25,27,29,30,31,32],kondev:[0,28],kp:25,kpca:11,kroneck:14,kuhn:8,kvalsund:[26,28],kwarg:2,kwown:[0,28],l0:[7,32],l1:[0,1,3,7,28,32],l1_l2:[1,3],l1regl:5,l2:[1,3],l:[0,1,2,3,5,6,7,8,10,11,12,13,19,22,23,25,28,29,32,33],l_1:[7,32],l_2:[7,13,32,33],l_:22,l_j:12,la:[13,33],la_i:12,la_k:12,lab:[20,21,23,28],label:[0,1,2,3,4,5,6,7,8,9,10,12,13,14,21,22,23,25,28,29,30,31,32,33],label_prob:33,labelencod:[7,10,32],labels:[6,8,9],labels_shuffl:[0,1,29],laboratori:[24,30],lack:[0,28],lagari:2,lagrang:[8,11],lambda:[0,1,2,3,5,6,7,8,10,12,13,17,18,23,25,28,29,30,31,33],lambda_0:11,lambda_1:[5,8,11,29],lambda_2:[8,11],lambda_:11,lambda_i:[8,11],lambda_iy_i:8,lambda_jy_iy_j:8,lambda_k:8,lambda_n:[5,8,29],lamda:1,land:[0,8],landmark:8,landscap:[13,32,33],langl:[0,6,11,25,28,29],languag:[0,1,4,8,15,21,22,23,27,28],lapack:[22,28],laplac:[5,30,31],laptop:21,larg:[0,1,2,4,5,6,8,9,10,11,13,15,21,22,23,25,27,28,29,31,32,33],larger:[0,3,5,6,8,10,11,13,17,25,28,29,30,31,32,33],largest:[4,8,11],lasso:[0,7,21,28],lasso_sk:6,last:[0,1,2,3,4,5,6,7,8,10,12,13,14,17,18,22,23,25,26,28,30,31,33],latent:4,latent_dim:4,latent_point:4,latent_space_value_rang:4,later:[0,1,4,7,8,12,13,14,15,21,23,28,32,33],latest:[4,21],latest_checkpoint:4,latex:28,latter:[0,3,6,7,8,11,13,16,22,23,25,28,29,30,31,32,33],lattic:12,law:0,layer:[0,4,13,28,33],lbfg:[7,9,10,11,32],lcc:[5,6,30,31],lda:11,ldot:[0,6,11,19,23,28,31,32],le:[5,7,10,13,17,25,29,30,32,33],lead:[0,1,3,5,6,7,8,9,10,11,12,13,16,17,22,25,28,29,30,31,32,33],leaf:9,leaki:1,leakyrelu:4,lear:[13,32,33],learn:[3,4,5,6,7,8,9,10,12,18,22,24,26,27],learnabl:3,learner:10,learnig:28,learning_r:[8,10],learning_rate_init:[0,1,28],learning_schedul:[13,33],learnt:23,least:[0,7,8,10,11,15,16,17,19,21,22,25,31,32],leat:[13,33],leav:[0,1,3,5,6,9,11,28,30,31,32],lectur:[0,1,5,10,11,12,13,15,17,21,22,23,24,26,27],lecturenot:[0,17,19,21,23,27,28],left:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,16,17,19,22,23,25,28,29,30,31,32,33],leftarrow:[8,12],legend:[0,2,3,4,5,6,7,8,9,10,13,28,29,30,31,32,33],len:[0,1,2,3,4,5,6,8,9,10,11,12,22,28,29,30,31,33],length:[0,1,2,3,4,8,9,13,16,21,28,29,32,33],length_of_sequ:4,leq:[0,5,7,8,13,14,25,28,29,30,32,33],less:[0,1,3,4,5,6,8,9,13,21,25,28,29,30,31,32,33],lessen:1,let:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,22,25,28,29,30,31,32,33],letter:[0,16,22,25,28,29],level:[0,1,5,6,9,21,22,23,24,26,28,31],li:[8,11],lib:[0,2,3,4,6,7,8,9,11,14,28,30,32],liblinear:[8,10],libmetal_plugin:[3,4,14],librari:[0,1,2,3,4,5,6,7,9,10,11,14,15,22,23,25,27,29,30,32],library_loc:[3,4,14],licens:[0,1,15,21,23,28],lie:[0,6,11,25,28,29,31],life:[0,1,8,12,28],lifetim:[13,33],like:[0,1,2,3,4,5,6,7,9,10,11,12,13,15,16,21,22,23,25,28,29,30,31,32,33],likelihood:[0,1,5,9,28,29,33],lim_:25,lima:26,limit:[0,5,6,8,9,11,12,22,23,28,29],lin_clf:8,lin_model:0,lin_reg:9,linalg:[0,2,5,6,8,11,13,22,25,28,29,30,32,33],line1:8,line2:8,line2d:33,line3:8,line:[0,1,2,3,4,6,7,8,10,11,13,14,23,28,29,30,31,32,33],linear:[1,3,5,6,7,9,10,11,12,17,18,21,23,25,31,33],linear_model:[0,5,6,7,8,9,10,11,13,28,29,30,31,32,33],linear_regress:[6,31],linearli:[5,29],linearloc:[6,13,23,32,33],linearregress:[0,6,7,9,28,29,30,31,32],linearsvc:8,lineat:30,liner:[1,3],linerar:10,linewidth:[0,2,4,6,8,9,10,23,31],link:[0,4,9,12,21,23,26,28],linlag:[5,30],linpack:[22,28],linreg:[0,28],linspac:[0,2,3,4,6,8,9,10,13,15,16,22,25,28,29,30,31,33],linu:4,linux:[0,1,15,21,23,28],liquid:[0,28],list:[0,1,2,3,4,7,9,21,23,28,29,32,33],listcomp:[],listedcolormap:[9,10],literatur:[1,7,14,27,31,32],littl:[1,3,9,12],live:8,ll:[0,25,28,29],lle:[0,29],lloyd:[4,14],lmb:[0,2,5,6,30,31,32],lmbd:[0,1,3,28],lmbd_val:[0,1,3,28],lmbda:[13,32,33],ln:[1,13,32,33],load:[0,1,3,4,6,7,9,10,14,23,32],load_boston:0,load_breast_canc:[1,7,9,10,11,32],load_data:[3,4],load_digit:[1,3],load_iri:[8,9],load_librari:[3,4,14],load_pluggable_device_librari:[3,4,14],loc:[0,3,6,7,8,9,10,28,31,32],local:[0,1,2,3,7,12,13,29,32,33],locat:[2,3,8],log10:[0,5,6,30,31,32],log:[0,1,2,4,5,6,7,9,10,11,13,22,23,28,29,30,31,32,33],log_:[0,28],log_clf:10,logaddexp2:[],logaddexp:[],logarithm:[0,5,7,22,28,30,31,32],logbook:23,logic:[0,1,9,28],logist:[0,1,2,8,9,10,11,12,13,21,29],logistic_predict:33,logisticregress:[7,9,10,11,32],logit:[7,32],logreg:[7,9,10,11,32],logspac:[0,1,3,5,6,28,30,31,32],longer:[2,3,8,10,14,22,25,28],loocv:[6,31,32],look:[0,1,2,3,4,5,6,7,8,9,10,11,13,16,18,22,23,25,28,29,30,31,32,33],loop:[1,4,6,10,12,14,21,22,28,31],lose:1,loss:[0,1,3,4,5,6,7,8,10,11,13,22,23,28,30,31],loss_fil:4,lossfil:4,lost:4,lot:[0,1,4,6,31,33],low:[0,6,9,10,11,23,28,29,31],lower:[0,1,3,6,9,10,16,22,29],lowercas:[22,28],lowest:[9,13,25,33],lr:[1,3,4,10],lstat:0,lstm:4,lstm_2layer:4,lstsq:[0,28,29],lt:[6,31],lu:[0,5,28,29],lubksb:22,luckili:2,ludcmp:22,lux:22,lvert:1,lw:[0,28],m:[0,1,2,3,5,6,8,9,10,11,12,13,22,24,25,26,27,28,29,30,31,32,33],m_1:14,m_:[9,12],m_h:[0,28],m_k:14,m_l:12,m_n:[0,28],m_p:[0,28],m_t:[13,33],ma:11,machin:[1,3,4,5,6,7,9,10,11,12,15,22,24,27,29,30,31],machinelearn:[0,6,16,17,19,20,21,23,24,26,27,28,32,33],mackai:27,made:[0,1,3,4,5,6,7,9,11,12,18,23,28,29,32],mae:[0,28],magic:4,magnitud:[1,6,7,13,29,30,32,33],mai:[0,1,2,3,5,6,7,8,9,11,12,13,18,21,22,23,25,28,29,30,31,32,33],mail:[24,26],main:[0,1,3,4,5,6,7,9,22,23,27,29,32],mainli:[0,5,6,7,9,28,29,30,31,32],maintain:[6,31],major:[1,6,9,10,13,22,28,31,32,33],make:[1,2,3,4,5,6,7,8,11,12,13,21,22,23,25,27,30,31,32,33],make_axes_locat:6,make_moon:[8,9,10],make_pipelin:[0,6,10,29,31],make_vjp:2,makedir:[0,6,7,9,28,29,31,32],makeplot:[0,28],malcondit:22,malign:[1,7,9,32],mammographi:[5,30,31],manag:[0,2,3,15,21,23,28],mandatori:[26,28],mani:[0,1,3,4,5,6,7,8,9,11,13,14,21,22,23,25,27,28,29,30,31,32,33],manifold:11,manner:3,manual:[6,29,30,32],map:[0,1,2,6,7,8,11,12,14,23,25,28,32],marc:29,margin:[0,5,8],marit:[0,28],mark:28,marker:[0,7,22,28,32],markov:[21,28],marsaglia:25,mass:[0,1,5,13,29,33],massag:[0,28],masses2016:[0,28],masses2016ol:[0,28],masses2016tre:0,masseval2016:[0,28],master:[6,16,20,23,24,26,32,33],mat1100:[21,28],mat1110:[21,28],mat1120:[21,28],mat:[21,28],match:[1,4,5,13,14,29,32,33],match_complex:[],materi:[4,5,7,13,17,22,26,33],math:[3,7,12,13,22,25,27,28,32,33],mathbb:[0,4,5,6,7,8,11,12,13,14,17,18,19,22,23,25,28,29,30,31,32,33],mathbf:[0,5,6,7,8,13,18,19,22,23,28,29,30,31,32,33],mathcal:[1,5,6,7,13,19,23,30,31,32,33],matheemat:3,mathemat:[0,6,11,12,13,17,21,22,25,27,28,30,32],mathemati:28,mathmlbook:16,mathrm:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,23,25,28,29,30,31,32,33],matmul:[1,2,5,30],matnat:27,matplotlib:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,21,22,23,25,28,29,30,31,32,33],matric:[0,1,3,4,6,7,8,11,13,16,17,21,29,32,33],matrix:[0,2,3,4,6,7,8,10,13,15,16,17,18,19,23,25,31],matshow:1,matter:[2,3,13,29,32,33],max:[0,1,2,3,4,9,10,12,13,26,28,32,33],max_depth:[0,9,10],max_diff1:2,max_diff2:2,max_diff:2,max_it:[0,1,8,9,11,13,28,32,33],max_iter:14,max_leaf_nod:10,max_sampl:10,maxdegre:[0,6,10,29,31],maxdepth:10,maxim:[1,4,5,7,8,11,30,31,32],maximum:[0,2,3,5,7,8,9,10,13,14,28,29,33],maxpolydegre:[5,6,30,31,32],maxpooling2d:3,mbox:[5,6,18,23,29,30,31],mcculloch:12,md:[11,20,23,33],mdoel:4,mean:[1,2,3,4,5,6,7,9,10,11,12,13,14,15,16,17,18,19,21,22,23,25,28,31,33],mean_absolute_error:[0,28],mean_divisor:14,mean_i:25,mean_matrix:14,mean_squared_error:[0,4,6,7,10,28,29,31,32],mean_squared_log_error:[0,28],mean_vector:14,mean_x:25,meaning:[0,4,7,28,32],meansquarederror:[0,28],meant:[2,3,7,10,13,32,33],measur:[0,1,2,5,6,9,11,12,14,19,23,25,28,29,30,31],mechan:[0,4,25,28],median:[0,28,29],medicin:12,medium:[4,8,13,33],medv:0,meet:[0,26],mehta:[0,28,29,30],memori:[3,4,11,12,13,22,33],mention:[0,12,13,23,25,28,32,33],mere:[0,15,28],meshgrid:[2,5,6,8,9,10,11,23,29],messag:[5,13,33],messi:2,met:[0,3,8,29],metadata:2,meteorolog:9,meter:[6,29,30],method:[0,1,2,3,4,5,7,8,11,12,14,16,17,18,19,21,22,25,27,29,30],metion:[6,23],metric:[0,1,3,6,7,9,10,14,15,16,28,29,31,32],metropoli:[21,28],mev:[0,25,28],mgd:[13,33],mglearn:[21,28],mgrid:[13,33],mhjensen:[2,3,4,6,8,9,11,14],mi:10,mia:[26,28],michigan:[28,30,32,33],microsoft:27,mid:1,midel:4,midnight:[16,17,18,19,20],midpoint:9,might:[0,1,2,4,6,9,13,29,30,32,33],mild:9,millimet:[6,29,30],million:[0,28,29,33],mimic:12,min:[0,2,5,8,9],min_:[0,2,5,14,17,28,29,30],min_samples_leaf:9,mind:[0,6,13,23,28,29,30,31,32,33],mindboard:4,mine:[21,28],mini:[1,11,12,13,32],minibatch:[1,11,13],minibathc:[13,33],miniforge3:[0,2,3,4,6,7,8,9,11,14,28,30,32],minim:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,17,18,23,29,30,31,33],minima:[0,1,7,13,28,32,33],minimum:[0,1,2,6,8,9,11,13,29,31,32,33],minmaxscal:[0,29],minor:25,minst:1,minu:[7,32],mirjalili:28,mirror:9,misc:[6,23],misclassif:[8,9,10],misclassifi:[8,10],miser:0,mismatch:1,miss:[0,7,10],mistak:4,mit:27,mix:[1,2,28],mixtur:[13,33],mk:[9,22],mkdir:[0,6,7,9,28,29,31,32],ml:[0,1,10,13,22,23,29,32,33],mlab:25,mlbook:28,mle:[5,7,32],mlp:1,mlpclassifi:1,mlpregressor:[0,28],mm:22,mml:29,mn:[12,25],mnist:[1,11],mod:25,mode:[24,26,28],model:[2,3,5,7,8,9,10,11,13,14,15,16,18,19,21,23,25,27,29,30,31,32,33],model_select:[0,1,3,5,6,7,9,10,11,28,29,30,31,32],moder:10,modern:[0,6,7,21,28,31,32],modif:[2,12,13,33],modifi:[0,1,3,5,7,8,10,12,13,28,29,30,32,33],modul:[0,9,11,22,28,30],modular:25,modulo:25,moe:[11,29],moment:[5,6,13,25,30,31],mondai:28,monitor:[13,33],monoton:[5,12,25,30,31],mont:[0,6,21,25,27,28,31],moor:[5,6,30],more:[0,1,2,4,5,7,8,9,10,11,12,13,14,18,21,25],moreov:[0,3],morten:[26,28,29,30,31,32,33],most:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,21,23,25,28,29,30,31,32,33],mostli:[1,11],motion:[0,13,33],motiv:[1,4],move:[0,4,5,6,7,9,12,13,14,23,25,29,30,31,32,33],mpl:[0,7,28,32],mpl_toolkit:[2,6,13,23,32,33],mplot3d:[2,6,13,23,32,33],mplregressor:1,mse:[0,4,5,6,9,10,15,16,17,19,23,28,29,30,31,32],mse_simpletre:10,mselassopredict:[5,30],mselassotrain:[5,30],mseownridgepredict:[6,30],msepredict:[5,30],mseridgepredict:[0,5,6,30,32],msetrain:[5,30],msle:[0,28],mt:[7,12,32],mu0:25,mu1:25,mu2:25,mu:[0,6,11,13,25,28,31,33],mu_1:29,mu_:[6,25,29,30,31],mu_i:[6,29,30],mu_n:11,mu_x:25,much:[0,1,2,3,4,5,6,8,9,10,11,12,13,22,23,25,28,29,30,31,33],multi:[0,1,3,7,21,28,32],multiclass:[1,7,32],multidimension:[11,12,28],multilay:1,multinomi:[7,32],multipl:[2,4,5,6,7,12,13,25,29,31,32,33],multipli:[3,5,6,11,13,22,25,29,30,33],multiplum:8,multivari:[0,2,10,11,21,25,28],multivariate_norm:[11,14],murphi:[11,27,28],must:[1,2,5,6,8,10,12,13,14,25,29,31,32,33],mutat:[7,32],mutual:[1,3,6,13,31,32,33],mx_:25,myenv:[0,2,3,4,6,7,8,9,11,14,28,30,32],myriad:[0,15,21,28],mz1:25,mz2:25,n1:22,n2:22,n:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,15,16,17,18,19,22,23,25,28,29,30,31,32,33],n_0:[12,25],n_:[1,2,3,8,12,25],n_boostrap:[6,10,31],n_bootstrap:[6,31],n_categori:[1,3],n_cluster:14,n_compon:11,n_epoch:[13,33],n_estim:10,n_examples_to_gener:4,n_featur:1,n_filter:3,n_hidden:2,n_hidden_neuron:[0,1,28],n_i:25,n_input:[0,1,3,29],n_instanc:9,n_iter:[32,33],n_iter_i:[9,11],n_job:10,n_k:14,n_l:[12,25],n_layer:1,n_m:9,n_neuron:1,n_neurons_connect:3,n_neurons_layer1:1,n_neurons_layer2:1,n_point:14,n_sampl:[6,8,9,10,14,31],n_split:[6,31,32],n_step:4,n_t:2,n_x:2,nabla:[1,13,32,33],nabla_:[2,13,32,33],nabla_w:[13,33],nag:[13,33],naimi:[0,28],naiv:[7,32],naive_kmean:14,najafi:[26,28],name:[0,1,3,4,5,6,7,8,9,10,12,13,14,15,21,22,23,25,26,28,29,30,31,32,33],nameerror:[10,23],namespac:[3,4,14],narrow:[13,33],nary_f:2,nary_op_arg:2,nary_op_kwarg:2,nary_oper:2,nation:[1,5,30,31],nativ:[21,28],natur:[0,1,4,8,9,12,13,23,25,27,28,32,33],navier:12,nb:25,nb_:22,nbconvert:28,nbviewer:9,nd:14,ndarrai:[2,6],ndim:[],ne:[9,10,22,25,29],nearest:[1,3,6,11],nearli:[13,32,33],neat:28,neatli:[],neccesari:[6,31],necess:2,necessari:[0,1,3,4,8,14,28],necessarili:[0,4,11,25,28],necesserali:[5,30,31],neck:[7,32],need:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,22,25,29,30,31,32,33],neg:[0,1,3,5,6,7,10,13,22,25,28,30,31,32,33],neg_mean_squared_error:[6,31,32],neglect:25,neglig:25,neighbor:[3,6,11],neither:[4,13,33],neq:[13,14,25,32,33],nervou:12,nest:[2,9,12],nesterov:[13,33],net:[2,4,12],netlib:[22,28],network:[0,9,13,21,27,29,33],neural:[0,13,21,27,29,32,33],neural_network:[0,1,2,28],neuralnetwork:1,neuron:[1,2,3,4,12],neutral:[0,28],neutron:[0,28],never:[1,4,6,9,25,31],new_box:2,new_chang:[13,33],new_hobbit:28,new_root:[],new_trac:[],newaxi:[0,3,6,9,31,32],newli:[0,28],newton:[1,7,8,13,25],next:[0,1,2,3,4,5,6,7,8,9,13,14,28,29,30,32,33],next_guess:[13,33],next_input:4,ng:1,ngini:9,ni:14,nice:[0,1,5,11,28,29,30,31],niter:[13,32,33],nitric:0,nlambda:[0,5,6,30,31,32],nlp:27,nm:25,nm_n:[0,28],nmse:[6,31],nn:[2,5,6,12,22,30,31],nn_model:1,nnmin:2,node:[1,2,3,9,10,12],node_constructor:[],nois:[0,4,5,6,8,9,10,13,15,16,19,23,28,29,30,31,32,33],noise_dimens:4,noisi:[1,6,19,23,31],non:[0,1,3,5,6,7,9,10,11,12,13,14,22,25,28,29,30,31,32,33],none:[0,1,2,4,5,9,10,13,25,28,29,30,31,32],nonlinear:[3,6,8,9,11,12,31],nonneg:[6,9,13,31,32,33],nonparametr:6,nonsens:25,nonsingular:22,nonumb:[3,7,8,13,22,32,33],nor:[1,4,13,33],norm:[0,1,5,6,8,11,13,17,28,29,30,31,32,33],normal:[3,4,5,6,7,8,9,10,11,12,13,15,16,18,19,21,22,23,25,28,29,30,32,33],normali:[22,28],norwai:[6,23,28,31],notat:[0,2,5,6,13,14,25,28,29,30,31,33],note:[0,1,2,3,4,5,6,7,8,11,12,13,14,15,16,21,22,25,27,28,31,32,33],notebook:[0,1,3,9,15,21,23,28],notesseptember16:32,notfounderror:[3,4,14],noth:[1,2,5,8,12,14,25,29,30],notic:[4,5,12,13,22,25,28,30,33],notimplementederror:2,notion:3,novel:[3,6,10,32],novemb:[1,24,26,28],now:[0,2,4,5,6,7,8,10,11,12,14,15,16,17,21,22,23,25,28,29,32],nowadai:[0,1,3,9,21,28],nox:0,np:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,22,23,25,28,29,30,31,32,33],npr:2,nsampl:[6,9,31,32],nt:2,ntrained_model:[6,30],nu:25,nuclear:[5,29],nuclei:[0,25,28],nucleon:[0,28],nucleu:[0,28],num:4,num_coordin:2,num_hidden_neuron:2,num_it:2,num_neuron:2,num_neurons_hidden:2,num_point:2,num_tre:10,num_valu:2,number:[1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,22,23,24,26,28,30,31,32],numberid:[7,32],numberparamet:3,numer:[0,5,6,9,10,11,12,13,17,21,22,27,28,29,30,31,32,33],numpi:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,21,23,25,29,30,31,32],numpy_box:[],numpy_vjp:2,numpy_wrapp:[],nunmpi:[5,29],nvalu:9,nx:2,nx_test:[6,30],nx_train:[6,30],nx_train_mean:[6,30],ny:25,ny_pr:[6,30],ny_train:[6,30],ny_train_mean:[6,30],o:[0,6,7,8,9,11,15,22,26,27,28,32],obei:[6,11,13,29,30,33],obj:2,object:[0,1,2,4,6,8,10,22,28,33],obliqu:[5,29],observ:[0,1,3,5,6,7,8,9,10,11,12,13,14,25,30,31,32,33],obtain:[0,1,5,6,7,8,9,10,12,13,14,17,22,23,25,28,29,30,31,32,33],obviou:[5,6,11,25,29],obviouli:28,obvious:[0,4,5,6,22,28,30,31],oc:29,occupi:0,occur:[0,6,8,9,22,25,28],octob:[24,26,28],od:0,odd:[0,3,7,28,29,32],odenum:2,odesi:2,odin:28,oen:0,off:[1,3,4,5,9,13,19,25,30,31,33],offer:[6,11,21,22,24,26,28,31],offic:[26,28],offici:[24,28],often:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,16,21,22,23,25,28,29,31,32,33],ofter:[22,28],ol:[0,13,15,16,17,18,28,29],old:[1,5,10,13,30,31,32,33],ols_sk:6,ols_svd:6,olsbeta:[0,5,30],omega:[2,3,6],omega_0:3,omit:[0,5,28,29,30,31],omlmp_kkie0:32,onc:[1,6,9,11,13,31,32,33],one:[0,1,3,4,5,6,7,8,9,10,11,13,14,19,21,22,23,25,26,28,29,30,31],onehot:1,onehot_vector:1,onehotencod:9,ones:[0,2,5,6,8,9,10,11,13,22,23,28,29,30,31,32,33],ones_lik:4,ong:29,onl:3,onli:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,19,22,23,25,28,29,30,31,32,33],onlin:[11,24],onto:[5,11,29],open:[0,1,4,6,7,9,15,21,23,24,26,28,31,32],oper:[0,1,3,5,6,10,11,12,13,15,21,25,28,29,30,31,33],operation:25,oplu:25,opmiz:[13,33],opportun:0,oppos:[6,13,33],opposit:[1,5,8,29],opt:[1,5,28,30],optim:[0,2,3,4,5,6,7,9,10,11,14,15,16,17,18,19,23,30,31],optimis:[1,3],option:[0,1,3,5,6,8,9,11,22,23,29,30,31],optmiz:[1,8,13,29,33],oral:28,orang:0,order:[0,1,2,3,5,6,7,8,9,10,11,12,15,16,22,23,25,28,29,30,31,32],ordinari:[0,2,3,7,11,13,15,16,17,19,21,31,32,33],oreilli:[27,28],org:[0,3,4,9,11,21,22,23,27,28,30,33],organ:[6,7,10,22,31,32],orient:[1,5,25,29,30],origin:[0,3,5,6,8,11,12,13,22,28,29,31,33],orthogn:[5,29],orthogon:[0,5,6,8,11,13,17,22,28,29,30,33],orthonorm:[5,29,30],os:[0,1,4,5,6,7,8,9,26,28,29,30,31,32],oscar:1,oscil:[3,13,33],oserror:[0,3,4,7,14,32],oslo:[0,15,21,23,24,26,28,29,30,31,32,33],osx:[0,15,21,23,28],other:[0,1,2,3,5,6,7,8,10,13,14,15,19,21,24,25,26,27,30,31,33],otherwis:[0,1,4,7,13,22,28,32,33],ouput:[5,7,12,30,31,32],our:[1,2,3,6,7,8,9,10,12,14,15,16,17,18,19,21,22,23,25,30,31],ourmodel:0,ourselv:[0,5,6,8,11,13,28,29,30,31,32,33],out1:[],out2:[],out:[0,1,2,4,5,6,7,8,9,10,11,12,13,16,21,22,23,25,28,29,30,31,32,33],out_fil:9,outcom:[0,7,9,10,12,25,29,32],outdoor:9,outer:[6,12,13],outfil:4,outgrad:2,outlier:[0,8,28,29],outlin:[6,10,11,31],outlook:9,outperform:10,output:[0,1,3,4,5,6,7,8,9,10,12,13,16,22,23,25,28,29,30,31,32,33],output_bia:1,output_bias_gradi:1,output_shap:4,output_weight:1,output_weights_gradi:1,outputlayer1:12,outputlayer2:12,outsid:4,over1:[13,33],over:[0,1,3,4,5,6,9,10,12,13,22,23,28,29,30,31,32,33],overal:[1,10],overcast:9,overcom:[12,13,33],overdetermin:[0,28],overfit:[0,1,3,6,9,10,13,31,33],overflow:[1,5,30,31],overhead:12,overlap:[3,7,8,9,32],overlin:[0,5,6,9,10,11,14,22,28,29,30],overst:0,overtrain:4,overview:[3,32],own:[4,5,6,8,12,13,21,22,23,30,33],owner:0,ownmsepredict:0,ownmsetrain:0,ownridgebeta:[0,6,30],ownypredictridg:0,ownytilderidg:0,oxid:0,p0:2,p1:2,p:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,17,22,25,28,29,30,31,32,33],p_:[2,4,8,9],p_hidden:2,p_i:[5,25,30,31],p_j:25,p_n:25,p_output:2,p_x:25,pack:[0,28],packag:[0,1,2,3,4,5,6,7,8,9,11,13,14,15,21,23,25,29,30,32,33],packtpub:28,packtpublish:28,pad:[3,4],page:[0,9,21,28,30,31,32,33],pai:[0,1,9,13,33],pair:[0,2,3,9,21,25,28],panda:[0,4,5,6,7,9,11,15,21,23,30,31,32],panel:28,paper:1,paradigm:[0,28],parallel:[10,13,21,22,28,33],param:2,param_distribut:32,param_grid:32,paramat:2,paramet:[0,1,2,3,4,5,6,7,8,9,10,12,13,16,17,18,19,23,25,30,31],parameter:[0,6,10,23,28,29],parametr:[0,6,15,16,28,29,31],paramt:[3,5,30,31],parent:2,parent_argnum:[],part:[0,1,3,5,6,10,17,18,22,24,25,26,28,30,31],partial:[0,1,5,6,7,8,10,11,12,13,16,25,28,29,30,32,33],particip:[21,24,26,28],particl:[0,4,13,25,28,33],particular:[0,1,2,3,5,6,9,10,11,12,13,16,23,25,27,28,29,30,31,32,33],particularli:[5,6,8,11,13,25,29,31,32,33],partit:[1,4,9],partli:[6,28,31],pass:[2,3,12,14,32],passkwarg:2,password:23,past:[10,25],patch:[6,25,31],path:[0,3,4,6,7,9,14,15,21,28,29,31,32],patient:[7,32],patter:4,pattern:[0,3,4,12,24,27,28],pauli:[0,28],pc:[11,21],pca:[0,7,21,28,29,32],pd:[0,4,5,6,7,9,11,28,29,30,31,32],pde:2,pdf:[0,3,4,5,6,9,16,20,23,27,28,30,31,32],pedagog:[0,28,29],penal:[6,29,30],penalti:[6,13,23,29,30,32,33],penros:[5,6,30],pentagon:[13,32,33],peopl:[0,1,9,13,21,33],per:[0,1,6,24,26,28,31],percentag:[0,10,11,26],perceptron:[0,1,7,28,32],peregrin:28,perfect:[0,1,13,28,33],perfectli:[4,6,31],perform:[0,2,3,4,5,6,8,10,11,12,13,14,15,16,17,19,21,22,23,25,28,29,30,31,32,33],performac:4,perhap:[0,5,13,28,29,30,32,33],perimet:[1,9],period:[1,4,25],permut:11,persist:[13,33],person:[5,6,7,24,26,28,29,30,31,32],perspect:27,pertin:[12,28],petal:[8,9],peter:[27,29],phantom:25,phase:[6,12],phenomena:25,phi:8,phi_k:8,philosophi:[13,33],phone:[26,28],photo:4,phrase:[0,28],physic:[0,1,4,7,12,13,25,26,27,28,29,30,31,32,33],pi:[2,3,5,6,7,9,12,13,25,30,31,32,33],pick:[1,9,10,11,13,14,33],pickl:1,pictur:[0,28],pie:[21,28],piec:[11,14],pillow:[0,15,21,23,28],pinv:[5,6,13,29,30,33],pip3:[0,1,15,23,28],pip:[0,1,15,21,23,28],pipelin:[0,6,8,10,29,31],pippin:28,pit:4,pitfal:[6,29,30],pitt:12,pixel:[1,3,4],pixel_height:[1,3],pixel_width:[1,3],place:[0,4,6,8,13,22,23,28,31,32,33],plai:[0,3,4,5,6,8,11,21,28,29,30,31,32],plain:[8,10,12,13,14,32,33],plan:[6,9,26,27,28],plane:[8,9],plateau:[5,30],platform:[21,28],plausibl:12,pleas:[9,11,13,23,26,28,33],plenti:1,plethora:[3,12],plot:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,21,22,23,25,28,29,30,33],plot_all_sc:[23,30],plot_confusion_matrix:[7,10,32],plot_count:6,plot_cumulative_gain:[7,10,32],plot_data:1,plot_dataset:8,plot_decision_boundari:[9,10],plot_import:10,plot_max:4,plot_min:4,plot_model:4,plot_numb:4,plot_predict:8,plot_regression_predict:9,plot_result:4,plot_roc:[7,10,32],plot_surfac:[2,6,13,23,33],plot_train:9,plot_tre:[9,10],plt:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,22,23,25,28,29,30,31,32,33],plu:[0,3,5,7,28,29,30,32],pluggabl:[3,4,14],plugin:[3,4,14],pm:[8,31],pmatrix:2,pml:27,pn:3,png:[0,4,6,7,9,28,29,31,32],point:[0,1,2,3,5,6,7,8,9,10,11,13,14,15,16,17,19,22,23,25,26,28,29,31,32,33],point_1:4,point_2:4,poisson:[21,25,28],poli:[6,8,31,32],poly100_kernel_svm_clf:8,poly3:0,poly3_plot:0,poly3dcollect:33,poly_featur:[8,9],poly_features10:9,poly_fit10:9,poly_fit:9,poly_kernel_svm_clf:8,polydegre:[0,5,6,10,29,30,31],polygon:[13,32,33],polym:12,polymi:23,polynomi:[0,5,6,7,8,9,10,11,15,16,17,19,23,28,29,31,32],polynomial_featur:[6,31],polynomial_svm_clf:8,polynomialfeatur:[0,6,8,9,29,31,32],polytrop:[0,6,28,31],pool:3,pool_siz:3,poor:[1,13,32,33],poorli:[0,29],pop:2,popul:[0,5,28,29,30,31],popular:[0,1,3,6,7,8,9,11,12,15,21,22,23,25,29,32],popularli:[0,28],portabl:10,portion:[11,13,33],pose:[0,4,5,6,11,25,28,31],posit:[0,1,2,3,5,7,8,10,11,13,14,22,25,28,29,30,31,32,33],possibl:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,15,19,21,22,23,25,26,28,29,30,31,32,33],posterior:[5,30,31],postpon:[0,28,29],postscript:23,postul:[5,30,31],potenti:[0,3,5,6,12,13,28,29,30,31,33],pott:12,power:[0,1,5,6,8,9,12,13,28,29,31,33],pp:[5,6,18,30,31,32],practic:[0,5,6,7,8,23,25,29,30,31,32],practition:[0,1,3,28],pre:28,preced:[1,11,12,25],preceed:4,preceq:8,precis:[0,2,5,11,13,22,23,25,28,29,30,31,33],pred:[6,31,33],predicit:0,predict:[0,1,5,6,7,8,9,10,15,16,21,23,27,28,29,30,31,32],predict_prob:1,predict_proba:[7,10,32],predictor:[0,5,6,7,9,10,11,28,29,30],prefer:[0,1,6,8,9,11,13,15,21,23,28],prepar:[0,6,22,23,28,29],preprocess:[0,4,6,7,8,9,10,11,23,30,31,32],prerequisit:0,prescript:23,presenc:[13,33],present:[0,5,6,7,9,12,13,22,23,25,28,29,30,33],preserv:[3,11,22],press:[13,27,32,33],pretrain:[1,4],pretti:[0,4,8,9,15,21,23,28],prev_centroid:14,prevent:[13,25,33],previou:[0,1,2,3,4,5,6,8,10,11,12,13,22,23,25,29,32,33],previous:[2,3,9,10,25],price:[0,4,9,13,33],primal:8,primari:[0,7,28,32],prime:25,primit:2,princip:[0,5,7,21,28,29,32],principl:[0,6,7,8,14,28,31,32],print:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,22,25,28,29,30,31,32,33],print_funct:[8,9],printout:[0,28],prior:[0,5,6,28,30,31],privat:0,prob:[1,25],probabilist:[0,27,28,29],probabl:[0,1,3,4,6,7,10,13,21,28,29,32,33],problem:[0,3,4,5,6,7,8,9,10,11,12,16,17,21,22,23,25,31],probml:27,proce:[0,5,6,7,8,9,10,11,13,22,28,29,30,31,33],procedur:[2,4,5,6,8,10,11,13,23,29,30,31,32,33],proceed:22,process:[0,2,4,6,9,10,12,13,15,21,22,23,25,27,28,31,32,33],prod:27,prod_:[1,5,7,30,31,32],produc:[0,3,4,5,6,9,10,11,12,13,21,22,23,25,28,29,30,31,33],product:[0,1,3,5,6,7,8,12,13,16,21,22,28,29,30,31,32],profess:[0,28],program:[0,1,4,5,6,8,12,14,15,16,21,22,24,25,26,28,29],programm:22,progress:[1,4,14,33],prohibit:[6,31],project1:[6,23],project:[0,1,2,3,5,11,13,17,18,19,20,21,24,26,29,30,31,33],project_root_dir:[0,6,7,9,28,29,31,32],projectwrit:23,promin:12,promis:8,promot:[26,28],prone:9,pronounc:[13,21,28,33],proof:[0,11,12,13,28,31,32,33],propag:[2,3,13,33],proper:[0,2,6,7,23,31],properli:[1,6,8,10,13,23,33],properti:[0,1,3,12,13,16,17,22,28,31,33],proport:[0,1,5,9,11,13,16,25,28,29,33],propos:[1,4,6,10,23,28],propto:[5,13,30,31,32,33],proton:[0,28],prove:[3,13,32,33],provid:[0,1,3,4,5,6,8,9,10,12,13,15,21,22,23,25,28,29,30,31,32,33],proxi:[1,13,33],prune:9,pseudo:[22,25,33],pseudocod:23,pseudoinv:[5,30],pseudoinvers:[5,6,30],pseudorandom:[6,25,31],psycholog:[0,28],pt:[13,33],punish:[0,1,28],pure:[3,9,25],purest:9,puriti:9,purpos:[0,3,10,12,14,28],put:1,py:[0,1,2,3,4,5,6,7,8,9,11,14,28,30,31,32],py_tf:[3,4,14],pycod:28,pydata:21,pydot:9,pyhton2:28,pylab:[0,7,28,32],pypi:21,pyplot:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,22,23,25,28,29,30,31,32,33],pythagora:[5,30,31],python2:[0,15,23,28],python3:[0,2,3,4,6,7,8,9,11,14,15,21,23,28,30,32],python:[1,2,3,4,5,6,8,11,12,13,14,16,23,25,29,30,33],pytorch:[0,21,23,28],q:[5,6,8,11,25,29,31],qp:8,qquad:[2,11,13,22,33],qr:[5,6,22,29],quad:[1,13,22,33],quadrat:[0,8,9,13,15,16,28,33],qualit:[4,9,23,25],qualiti:[0,9,15,16,21,28,29],quantifi:1,quantil:10,quantit:[0,6,9,23,28,31],quantiti:[0,2,5,6,7,9,10,11,12,14,16,22,25,28,29,30,31,32],quantum:[4,12,27,28],quartil:[0,29],quench:5,queri:9,question:[0,5,6,9,11,12,13,23,26,28,29,30,31,33],qugan:4,quick:[4,25],quickli:[1,3,9,11,13,32,33],quit:[1,5,6,9,10,12,29,31],quot:4,r2:[0,5,6,28,29,30,32],r2_score:[0,28],r2score:[0,28],r:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,21,22,23,25,29,30,31,32,33],r_1:9,r_2:9,r_j:9,r_m:9,rad:0,radial:[0,8,12],radioact:25,radiu:[0,1,9,29],rag:2,rain:9,rais:[0,2,3,4,7,14,30,32],ramp:1,ran0:25,ran1:25,ran2:25,ran3:25,rand:[0,4,5,6,9,10,13,15,16,22,28,29,30,31,32,33],randint:[6,9,13,31,33],randn:[0,1,2,5,6,9,11,13,15,16,28,29,30,31,32,33],random:[0,1,2,3,4,5,6,8,9,13,14,15,16,21,22,23,28,29,30,31,33],random_forest_model:10,random_index:[13,33],random_indic:[1,3],random_st:[0,7,8,9,10,11,32],randomforestclassifi:10,randomizedsearchcv:32,randomli:[1,6,9,13,14,31,32,33],randuniform:32,rang:[0,1,2,3,4,5,6,7,9,10,11,12,13,14,22,25,28,29,30,31,32,33],rangl:[0,6,11,25,28,29],rangle_x:25,rank:[5,29],rankdir:4,raphson:[1,8,13],rapidli:0,rare:[1,13,28,32,33],raschka:[28,29,30,31,32,33],rasckha:28,rate:[0,1,2,3,4,8,9,10,12,13,32],rather:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,22,25,28,29,30,31,32,33],ratio:[4,7,9,10,11,32],rational:[0,28],ravel:[5,6,7,8,9,10,11,13,22,29,31,32,33],raw:3,rbf:[8,11,12],rbf_kernel_svm_clf:8,rbf_pca:11,rc:[0,25],rc_temp:[0,7,32],rcond:[0,28,29],rcparam:[0,1,3,7,8,9,10,25,28,32],re:[2,4,13,32,33],reach:[1,4,5,6,9,10,11,12,13,14,30,31,32,33],read:[0,2,3,4,5,6,7,8,11,12,16,22,23,24,25,27,30,33],read_csv:[0,6,7,9,28,31,32],read_fwf:[0,28],reader:[0,6,22,25,28,29,30],readi:[0,1,5,6,8,10,11,12,22,23,28,30,31],readili:1,readthedoc:21,real:[0,1,2,4,7,10,11,12,22,29,31,32],real_loss:4,real_output:4,realist:8,realiti:25,realiz:[1,12],realli:[0,1,28],rearrang:[13,33],reason:[0,1,3,4,10,13,27,28,32,33],reassign:1,recal:[5,6,9,10,11,12,22,25,28,29,30,31,32,33],recast:3,receiv:[1,3,10,12,25],recent:[0,1,2,3,4,6,7,10,13,14,23,27,28,30,31,32,33],recept:[3,12],receptive_field:3,recip:[0,6,7,22,23,28,29,32],reciproc:[5,30],recogn:[0,4,5,10,28,30,31],recognit:[0,1,3,12,24,27,28],recommen:28,recommend:[0,2,3,4,5,6,8,13,15,18,21,22,23,27,30,31,33],reconsid:9,reconstruct:11,record:[10,23,24,26,28,33],rectangl:[9,13,32,33],rectangular:[5,29],rectifi:[1,3,12],recur:[0,21,28],recurr:[0,1,21,28],recurs:[9,21,22,28],red:[0,3,4,6,8,9,31,33],redefin:[0,10,28,29],redefinit:30,reduc:[1,2,3,5,6,9,10,11,13,28,30,31,32,33],reduct:[0,2,10,11,21,25,28,29],refer:[0,1,2,3,5,6,9,11,12,13,14,20,22,27,28,29,31,32,33],referenc:2,refin:12,refit:[6,31],reflect:[0,1,4,5,23,25,28],refresh:[21,28],refreshprogrammingskil:28,reg:[10,11],regard:[1,9,13,33],regardless:12,region:[3,4,6,9,12,23],regist:[6,23,25],reglasso:[5,30],regr_1:[0,9],regr_2:[0,9],regr_3:[0,9],regress:[1,8,11,12,15,16,21,22],regressor:[0,7,10,28,32],regridg:[0,5,6,30,32],regular:[0,3,4,5,6,7,9,13,17,26,28,29,30,31,33],regularis:6,reilli:[0,15,27,28],reinforc:[0,8,21,28],reiter:1,reject:7,rel:[0,4,6,7,9,12,13,25,28,29,31,32,33],relat:[0,1,3,4,5,11,13,14,22,25,28,30,31,33],relationship:[0,4,9,28],relativeerror:[0,28,29],releas:[1,21,28],relev:[0,1,5,7,11,15,21,23,25,28,30],reli:[0,6,8],reliabilti:23,reliabl:[7,25,32],relu:[3,4,28],remain:[1,2,4,6,12,22,25,29,30,31,32],remaind:25,reman:2,remark:1,rememb:[0,8,13,22,23,28,33],remind:[0,5,11,13,22,25,29,30,31],remov:[0,4,5,6,29,30],render:[0,9,28,29],reorder:[5,7,29,30,32],reorgan:[0,28],repeat:[0,1,3,4,5,6,9,10,11,13,14,22,23,25,28,30,31,32,33],repeated:28,repeatedli:[0,6,10,13,31,33],repet:3,repetit:[6,28,29,31,32,33],rephras:[13,32,33],replac:[0,1,3,4,5,6,10,12,14,15,16,21,23,28,29,30,31,32],replica:[6,31],repo:23,report:[20,28,33],reportexampl:[20,23],reportsampl:20,repositori:[0,4,23,28],repres:[0,1,2,3,4,5,6,7,8,9,10,12,13,25,28,29,30,31,32,33],represent:[0,1,3,6,9,25,28,31,32],representd:3,reproduc:[0,5,6,9,12,15,16,21,23,25,28,29],repuls:[0,28],request:[0,13,33],requir:[0,1,3,4,5,6,8,9,11,12,13,17,22,28,29,30,31,32,33],rerun:9,res1:2,res2:2,res3:2,res_analyt:2,res_analytical1:2,res_analytical2:2,res_analytical3:2,resaml:[6,23],resampl:[0,7,10,19,21,28,29,32,33],rescal:[0,11,12,29],rescu:[5,30,31],reseach:[6,23],research:[0,4,13,21,27,28,33],resembl:[6,25,31],reserv:[1,5,6,25,30,31],reshap:[0,1,2,3,4,6,8,9,10,15,16,22,28,29,31],residenti:0,residu:[0,5,13,28,33],resiz:[5,29],resourc:28,respect:[0,1,2,3,5,6,7,8,10,11,12,13,14,16,17,23,25,28,29,30,31,32,33],respond:12,respons:[0,7,9,12,28,29,32],rest:[0,5,29],restat:[0,12,28],restor:4,restored_discrimin:4,restored_gener:4,restrict:[0,3,9,12,28],result:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,21,22,23,25,28,31,32,33],retail:0,retain:[5,6,29,31,32],rethink:31,retriev:28,return_data:14,return_sequ:4,return_x_i:9,reus:[1,3,6,18,19,20,23],reveal:[0,12,28],revers:[1,22],review:[21,22],revisit:14,revolut:28,reward:[0,4,28],rewrit:[0,3,5,6,7,8,10,11,12,13,19,22,23,25,30,32,33],rewritten:[2,6,8,10,25,31],rewrot:[13,32,33],rf:10,rgb:3,rgoj5yh7evk:21,rh:[6,31],rho:[0,10,13,28,33],rho_1:10,rho_2:10,rho_m:10,rich:[0,28],ride:9,rideclass:9,ridedata:9,ridg:[7,11,13,21,28],ridge_sk:6,ridgebeta:[5,30],ridgecv:32,right:[0,1,2,3,5,6,7,8,9,10,12,13,14,16,17,19,22,23,25,28,29,30,31,32,33],right_sid:2,rightarrow:[0,1,5,6,8,11,12,13,25,28,29,31,32,33],rigor:[0,28],ring:6,rise:[0,28],risk:[0,13,15,16,28,32,33],rival:4,river:0,rlm:28,rm:[0,25],rmse:0,rmsporp:[13,33],rmsprop:[1,3,4,13],rnd_clf:10,rng:25,rnn1:4,rnn2:4,rnn:[4,12],rnn_2layer:4,rnn_input:4,rnn_output:4,rnn_train:4,rntrick1:25,rntrick2:25,rntrick3:25,rntrick4:25,ro:[0,13,28,32,33],robert:[18,23,27],robust:[0,28],robustscal:[0,29],roc:[7,10],role:[0,2,5,6,8,21,28,29,30,31,32],roll:6,room:[0,26,28],root:[0,5,9,13,25,29,30,32,33],rot:28,rotat:[1,8,9,10],rotation_matrix:9,roughli:[1,3],round:[0,7,9,13,32,33],routin:[13,22,28,32,33],row:[0,1,2,5,6,9,11,22,28,29,30,31],row_stack:[],rr:[5,29],rrr:[5,29],rug:[13,32,33],rule:[0,1,5,6,13,23,28,29,30,31,33],run:[0,1,2,4,5,6,8,9,11,13,15,21,23,28,29,30,31,32,33],runtim:[1,6,14],runtimewarn:[1,6,31],rust:[0,15,21,22,28],rvert:1,rvert_2:1,s:[0,1,2,3,4,5,6,7,9,11,12,13,16,17,18,21,22,23,25,28,29,30],s_1:6,s_:[3,6],s_i:[6,7,32],s_j:6,s_k:6,saddl:[13,32,33],sai:[0,1,2,3,4,5,6,7,8,9,10,11,12,22,23,25,28,29,30,31,32],said:[6,9,13,32,33],sake:[0,5,7,11,28,29,30,32],sale:[0,28],sam:28,same:[0,1,2,3,4,5,6,8,9,11,12,14,17,22,23,25,28,29,30,32],samm:10,sampl:[0,1,2,3,4,5,6,7,8,9,10,13,14,15,16,19,21,22,23,25,28,29,30,31,32,33],sample_vari:14,sampleexptvari:25,samwis:28,sastri:11,satisfactori:[0,28],satisfi:[1,2,3,6,8,13,22,25,31,32,33],satur:[1,6,31],save:[0,4,6,7,9,13,28,29,31,32,33],save_fig:[0,6,7,9,10,28,29,31,32],savefig:[0,4,6,7,9,25,28,29,31,32],savetxt:4,saw:[5,29],scalabl:10,scalar:[2,5,6,10,29,30,31],scale:[0,1,3,5,6,7,8,9,10,11,12,13,15,16,17,21,22,23,26,28,30,32,33],scale_mean:4,scale_std:4,scaler:[0,7,8,9,10,11,23,29,30],scan:[5,7,30,31,32],scari:[5,30,31],scatter:[0,1,6,7,8,9,14,28,29,30,31,32],scenario:[6,13,32,33],schedul:[13,26,33],scheme:[1,13,32,33],schrage:25,scienc:[0,1,10,12,13,21,24,25,26,27,32,33],scientif:[0,15,21,23,28,33],scientist:[0,28],scikit:[3,5,6,8,9,10,13,21,22,23,24,27],scikit_learn:[0,16],scikitlearn:28,scikitplot:[7,10,32],scipi:[0,3,5,6,13,15,21,22,23,28,29,30,31,32,33],scl:6,score:[0,1,3,6,7,9,10,11,15,16,23,26,28,29,31,32,33],scores_kfold:[6,31,32],scratch:[1,13],sdg:[13,33],seaborn:[0,1,3,6,7,28,32],seamless:[0,15,21,23,28],search:[0,1,3,5,9,13,28,30,33],sebastian:28,sebastianraschka:28,sec:6,second:[0,2,3,4,5,6,7,8,9,11,12,14,15,16,21,22,23,25,26,28,29,31,32],second_mo:33,second_term:33,secondeigvector:11,secondli:12,section:[4,11,16,17,22,23,25,29,30,32,33],sector:0,see:[0,1,2,3,4,5,6,7,8,10,11,12,13,15,16,17,18,21,22,23,25,28,29,30,31,32,33],seed:[0,1,2,3,4,5,6,8,9,11,13,14,15,16,23,25,28,29,30,31,32,33],seed_imag:4,seek:[1,2,8],seem:[1,3,4,33],seemingli:[0,28],seen:[0,1,3,5,10,12,17,25,28],segment:[13,32,33],seismic:6,seldomli:[0,28],select:[1,5,6,8,9,10,11,17,23,24,25,26,27,28,29,30,31],self:[0,1,5,7,28,29,30,32],sell:4,semest:[7,24,32],semi:[8,13,32,33],semilogx:6,send:[5,12,13,26,28,33],senior:[24,26],sens:[0,4,6,8,23,28,31],sensibl:3,sensit:[0,5,6,9,13,28,29,30,31],sent:2,sentenc:[4,12],separ:[0,1,2,4,6,8,9,12,14,15,21,23,25,28,31],septemb:[17,18,19,20,23,28],sequenc:[2,3,4,7,9,10,12,13,21,22,25,28,32,33],sequenti:[1,3,4,10,12,25],seri:[0,1,2,3,4,5,6,10,11,12,13,22,28,29,30,31,32,33],serif:[0,7,25,28,32],serv:[0,1,2,3,5,7,13,23,27,28,29,30,31,32,33],servic:23,session:[1,20,23,24,26,28],set:[1,4,5,6,7,8,10,11,13,14,16,17,21,22,23,25,26,30,31,33],set_major_formatt:[6,23],set_major_loc:[6,23],set_tick:[1,6,8],set_ticklabel:[1,6],set_titl:[0,1,2,3,7,12,14,28,32],set_xlabel:[0,1,2,3,7,12,28,32],set_xlim:[7,12,32],set_xticklabel:1,set_ylabel:[0,1,2,3,7,28,32],set_ylim:[7,12,32],set_ytick:[7,32],set_yticklabel:[1,6],set_zlim:[6,23],seth:4,setminu:[6,32],setosa:[8,9],setosa_or_versicolor:8,setp:[6,31],setup:[1,4,6,8,21,28,29],sever:[0,3,5,6,7,8,9,11,12,13,21,22,25,28,29,30,31,32,33],sgd:[1,3,32],sgd_clf:8,sgdclassifi:8,sgdreg:[13,32,33],sgdregressor:[13,32,33],sgn:[5,29,30],shallow:[13,33],shape:[0,1,2,3,4,5,6,7,8,9,10,11,13,14,15,16,22,28,29,30,31,32,33],shape_bas:[],share:[1,3,28],she:[7,32],shift:[1,6,12,25,30],ship:3,shire:28,shortcom:[13,32,33],shorten:4,shorter:25,shorthand:[28,31],shortli:[22,28],should:[0,2,3,5,6,8,9,11,12,15,16,22,23,25,28,29,30,31],show:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,19,22,23,25,28,29,30,31,32,33],show_shap:4,shown:[0,4,5,8,9,11,12,13,22,29,32,33],shrink:[3,5,6,8,11,23,29,30],shrinkag:[5,6,29,30],shrunk:11,shuffl:[0,1,4,6,13,29,31,32,33],side:[0,2,5,8,12,13,22,28,30,31,32,33],sigh:[21,28],sigma0:25,sigma1:25,sigma2:25,sigma:[0,1,5,6,7,10,11,12,13,17,18,19,22,23,25,28,29,30,31,32,33],sigma_0:[5,29,30],sigma_1:[5,29,30],sigma_2:[5,29,30],sigma_:[5,22,28,29,30,31],sigma_fn:[7,12,32],sigma_i:[0,5,28,29,30],sigma_j:[5,17,29,30],sigma_m:[6,25,31],sigma_n:[11,25],sigma_t:[13,33],sigma_x:25,sigmoid:[1,2,4,7,8,10,12,32,33],sigmundson:[6,29,30],sign:[1,2,7,8,10,25,26,32],signal:[1,3,10,12],signifi:4,signific:1,significantli:[1,13,25,32,33],sigurd:28,sim:[4,5,6,13,18,23,25,30,31,33],similar:[0,1,2,3,4,5,6,7,8,9,10,11,14,17,21,22,23,28,30,31,32],similarli:[0,1,3,5,8,10,13,20,25,28,29,30],simpl:[1,2,3,5,6,7,8,10,11,12,14,15,16,17,19,21,22,23,25,31],simplepredict:10,simpler:[0,1,5,6,7,13,16,19,21,23,28,30,33],simplernn:4,simplest:[0,1,3,4,9,10,12,14,28],simpletre:10,simpli:[0,1,2,4,5,6,8,9,10,11,12,15,21,22,23,25,28,29,30,31],simplic:[2,5,6,7,8,9,10,11,12,14,29,30,32],simplicti:[5,29],simplifi:[0,6,9,15,21,23,28,29,30,31],simplist:[3,6,25,31],simul:[6,31],simultan:[6,31],sin:[0,1,2,3,4,9,12,13,22,28,33],sinc:[0,1,2,3,5,6,7,8,9,10,11,13,22,25,27,28,29,30,31,32,33],sine:[3,12],singl:[0,1,2,3,5,6,7,8,9,12,13,22,25,28,29,30,31,32,33],singular:[0,6,13,22,23,28,30,31,32,33],sinusoid:3,site:[0,2,3,4,6,7,8,9,11,14,23,24,28,30,32],situat:[0,4,5,7,13,25,28,29,32,33],six:[3,25],size:[0,1,2,3,4,5,6,8,9,10,11,13,22,23,25,28,30,31,32,33],sketch:10,ski:9,skill:0,skip:11,skl:[0,6,28,29,30],sklearn:[0,1,3,5,6,7,8,9,10,11,13,14,28,29,30,31,32,33],skplt:[7,10,32],sl:[6,30,32],slack:8,slice:[2,22,28],slide:[0,3,15,16,23,25,28,29,31,33],slight:[6,13,31,33],slightli:[1,2,3,5,6,7,10,25,29,30,31,32],slope:[8,11,12],slow:[0,2,8,13,29,32,33],slower:[5,22,28,29,30],slowest:22,slowli:12,slp:1,small:[0,1,2,3,5,6,8,9,10,11,12,13,21,22,23,25,28,29,30,31,32,33],smaller:[0,1,2,5,6,8,9,11,13,25,28,29,30,31,32,33],smallest:[0,4,14,15,16,28,32],smallest_row_index:14,smooth:[0,3,6,9,13,23,28,32,33],sn:[0,1,3,6,7,28,32],sne:11,sneak:28,so:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,18,19,21,22,23,25,26,28,29,30,31,32,33],soar:6,social:0,soft:[1,7,10,12,32],soften:8,softmax:[3,7,32],softwar:[0,8,15,21,22],sol:8,sole:[0,6,28],solid:[0,7,32],solut:[0,1,2,3,5,6,8,10,11,13,17,18,22,23,25,28,29,30,31,32,33],solution_ev:33,soluton:2,solv:[0,1,3,5,6,8,10,11,12,13,22,23,28,29],solve_expdec:2,solve_ode_deep_neural_network:2,solve_ode_neural_network:2,solve_pde_deep_neural_network:2,solveod:2,solveode_popul:2,solver:[2,7,8,9,10,11,22,28,32],some:[0,1,2,3,4,5,6,7,8,9,10,11,12,14,23,25,28,30,31],some_model:[6,29,30],somehow:4,someth:[0,1,3,4,7,9,11,23,25,28,29,32],sometim:[0,1,11,12,13,14,28,29,33],soon:[22,26,29],sophist:[0,28],sopt:[13,33],sort:[5,6,9,11,25,29,31],sound:[3,5,30,31],sourc:[0,1,3,6,15,21,22,23,25,28,31],space:[0,1,4,5,8,9,11,12,13,14,25,29,30,31,32,33],span:[0,3,5,9,11,22,28,29],spare:1,spars:[3,6,22,28],sparse_mtx:[22,28],sparsecategoricalcrossentropi:3,sparsiti:10,spatial:[1,2,3,12],speak:25,special:[6,7,10,12,13,22,25,28,29,30,32,33],specif:[0,1,2,3,4,5,6,7,8,9,11,12,16,21,22,23,25,27,28,29,30,31,32],specifi:[0,3,5,6,7,9,11,13,14,23,25,28,30,31,32,33],specifici:[0,10,28],spectacular:3,spectral:1,speech:[0,1,3,4,12],speed:[1,2,4,13,33],spend:25,spent:23,sphere:[0,29],spin:6,spite:0,spline:8,split:[1,3,4,5,6,8,9,10,11,14,17,23,25,30,31,32],splite:0,splitter:[1,10],spontan:25,spot:3,spread:[0,11,25,28,29],springer:[18,23,27,28,31],spuriou:[13,33],sqquar:30,sqrsignal:3,sqrt:[0,3,4,5,6,8,10,11,13,17,25,29,30,31,33],squar:[1,2,3,4,7,8,9,11,13,14,15,16,17,19,21,22,25,31,32,33],squarederror:10,squaredeuclidean:14,squash:12,srtm:[6,23],srtm_data_norway_1:[6,23],stabil:[5,23],stabl:[0,4,5,6,9,11,21,23,28,29,30],stack:[3,4],stage:[5,13,23,33],stai:[0,2,4,5,11,17,28,29],stand:[0,5,9,12,28,29,30],standadscal:29,standard:[0,1,4,5,6,7,8,10,12,15,16,17,19,22,23,25,28,30,32],standard_basi:[],standardscal:[0,6,7,8,9,10,11,29,30],stanford:[13,32],start:[0,1,2,3,4,5,6,8,9,10,11,12,13,14,20,22,25,26,28,29,31,32,33],start_box:[],start_nod:[],start_tim:14,stat:[6,31,32],state:[1,2,4,5,6,7,8,10,11,12,13,21,25,29,30,31,32,33],statement:[0,7,22,28,32],stationari:[32,33],statist:[0,1,3,4,7,9,10,11,12,13,14,18,22,23,24,27,29,32,33],statu:[0,7,9,11,28,32],stavang:[6,23],std:[0,4,6,28,29,31],steep:[13,32,33],step:[0,1,2,4,6,7,9,10,11,12,13,14,22,23,28],step_fn:[7,12,32],step_length:[13,33],step_siz:33,steps_list:9,stereo:3,still:[0,2,3,5,6,11,13,17,25,31,32,33],stimuli:12,stk2100:[27,28],stk3155:[15,23,24,26],stk4021:[27,28],stk4051:[27,28],stk4155:[24,26],stk5000:27,stk:[27,28],stochast:[0,1,5,6,8,11,12,15,16,23,28,30,31,32],stock:4,stoke:12,stone:[0,7,23,32],stop:[1,4,9,11,13,14,32],stopiter:[0,7,32],storag:[5,29],store:[0,1,2,3,6,11,13,23,25,28,33],storehaug:[26,28],str:[1,3,4],straight:[0,6,8,13,28,31,32,33],straightforward:[0,2,3,5,6,8,9,10,13,22,28,29,30,31,32,33],strategi:[0,1,9,28],stratifi:[6,31],strength:[0,5,14,29],stretch:11,strict:[8,13,32,33],strictli:[8,13,32,33],stride:[4,22],strike:6,string:1,stroke:[7,32],strong:[3,6,9,10,12,22,25,31],strongli:[0,8,21,22],stronli:0,structur:[0,1,2,3,6,9,10,12,21,28,31,32,33],stuck:[1,13,32,33],student:[0,23,24,26,27,28],studi:[0,3,4,5,6,7,8,11,12,13,17,19,21,23,27,28,29,30,33],studier:27,style:[0,7,9,22,28,32],sub:[9,12],subarg:[],subdivid:[0,22,28],subfield:0,subject:[6,8,25],submit:28,subplot:[0,1,3,4,6,7,8,9,10,14,28,31,32],subplots_adjust:[8,25],subprogram:[22,28],subract:[0,29],subroutin:[0,28],subscript:1,subsequ:[1,4,5,6,12,22,25,29,31],subset:[1,6,9,12,13,21,28,31,32,33],subspac:[0,8,11,29],substanti:[9,10],substep:11,substitut:[3,6,12,22,31],subsubset:9,subtask:6,subtl:1,subtract:[0,4,5,6,11,13,17,22,23,25,30,31,33],subtre:9,subval:[],succeed:[0,4,28],success:[3,7,9,13,25,32,33],successfulli:[4,9],sudo:[0,15,21,23,28],suffer:[0,1,2,5,10,28,29,30],suffici:[1,6,8,11,13,31,32,33],suggest:[1,13,23,27,33],suit:[8,12],suitabl:[0,25,29],sum:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,22,23,25,28,29,30,32,33],sum_:[0,1,2,3,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,22,23,25,28,29,30,31,32,33],sum_i:[0,2,5,6,8,13,17,19,23,29,30,31,33],sum_j:6,sum_ja_:0,sum_k:[6,8,12,22],sum_logist:[13,33],sum_m:3,sum_n:3,sum_nx_:3,summar:[5,6,9,30,31,32],summari:[1,3,4,10,24,30],summat:[0,3,16,29],sunni:9,superconduct:30,superfici:3,superscript:[1,12],supervis:[0,5,6,7,9,12,21,28,29,31,32],supplement:[7,23,32],support:[0,1,9,10,11,13,21,28,29,33],suppos:[0,5,6,7,8,10,11,12,13,22,28,29,30,31,32,33],suppress:[5,8,13,30,33],sure:[0,1,4,6,23],surf:[6,23],surfac:[0,6,23,28],surpass:6,surpris:[0,28],surround:[3,21],survei:[0,5,6,28,29,30,31],svc:[8,9,10],svd:[0,6,11,17,28,31],svdinv:[5,30],svm:[8,9,10,11],svm_clf:[8,10],swath:[5,29],sy:[13,32,33],symbol:[1,3,4,5,11,13,14,21,25,28,29,30,33],symmeteri:1,symmetr:[0,5,8,11,12,13,22,28,29,33],symmetri:[6,9],sympi:[0,15,21,23,28],synonim:25,syntax:13,syntaxerror:8,system:[0,1,3,4,6,7,9,10,12,13,15,21,22,23,28,32,33],systemat:[4,6,31],t0:[3,6,13,33],t1:[2,13,33],t2:2,t3:2,t:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,21,22,23,25,26,28,31,32,33],t_0:[2,9,13,33],t_1:[13,33],t_:2,t_b:10,t_i:[1,2,5,12,29],t_j:12,t_k:9,tabl:[9,23,25,26,28],tabul:[0,28],tabular:28,tackl:4,tag:[2,3,4,5,6,7,12,13,14,22,25,29,32,33],taht:[0,28],tail:25,tailor:[2,8,11,28],taiwan:[0,28],take:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,16,21,22,25,28,29,30,31,32,33],taken:[0,1,3,6,10,13,22,28,31,33],tan:3,tangent:[1,4,12,13,32,33],tanh:[1,4,7,8,12,32,33],target:[0,1,2,3,4,5,6,7,8,9,10,11,12,28,29,30,31,32,33],target_iscomplex:2,target_meta:2,target_nam:9,target_ndim:[],target_shap:2,task:[0,1,3,6,9,11,12,14,20,23,28,31],tau:[3,5,25,30,31],taught:28,tax:0,taylor:[2,13,32,33],taylornr:[13,32,33],tba:[],tc:8,td:[1,6,28,31],teach:28,team:1,teaser:0,technic:[0,5,6,13,15,23,28,29,33],techniqu:[0,1,8,10,13,21,25,27,28,29,31,32,33],technolog:[0,1],tell:[0,4,6,10,11,13,25,31,33],temp1:1,temp2:1,temp:1,temperatur:[0,9,28],temporarili:1,ten:[3,17,28],tend:[3,5,6,8,9,10,12,13,14,29,30,31,33],tendenc:[0,28],tension:[6,31],tensor:3,tensordot:[],tensordot_adjoint_0:[],tensordot_adjoint_1:[],tensorflow:[0,2,4,8,14,15,21,22,23,24,27,28,29],term1:[5,6,11,23,29],term2:[5,6,11,23,29],term3:[5,6,11,23,29],term4:[5,6,11,23,29],term:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,19,23,25,28,29,30,32,33],termin:[0,4,5,9,10,13,15,28,29,33],terrain1:[6,23],terrain:[6,23],test:[3,4,5,6,7,8,9,10,13,17,19,22,23,25,31,32,33],test_acc:3,test_accuraci:[1,3],test_error:6,test_imag:[3,4],test_ind:[6,31,32],test_input:4,test_label:[3,4],test_loss:3,test_pr:1,test_predict:1,test_rnn:4,test_scor:[7,10,32],test_siz:[0,1,3,5,6,10,28,29,30,31,32],test_split:9,tester:30,testerror:[0,6,29,31],testi:4,testpredict:4,testx:4,text:[0,1,2,4,5,8,9,11,13,15,22,25,27,29,31,32,33],textbook:[16,17,23,29,31],textual:9,textur:[1,9],tf:[1,3,4,13,14,32,33],tf_loadlibrari:[3,4,14],th:[0,1,2,5,6,7,9,12,13,14,15,16,22,23,25,28,29,30,31,32,33],than:[0,1,2,3,4,5,6,7,9,10,11,12,13,17,21,25,28,29,30,31],thank:[4,6,29,30],theano:[1,21,28],thei:[0,1,2,3,4,5,6,7,8,9,11,12,13,22,23,25,28,29,30,31,32,33],them:[0,1,3,4,6,8,9,10,11,12,13,22,23,28,29,30,33],theme:[0,28,33],themselv:[0,25,28],thenc:[6,31],theorem:[2,6,7,29,32],theoret:[0,4,10,28],theori:[0,1,3,8,9,12,13,18,21,23,27,28,30,33],thereaft:[0,5,6,11,12,15,16,17,22,23,28,31],therebi:[0,5,7,11,28,29,30,32],therefor:[0,1,2,3,4,6,7,8,11,13,25,28,29,31,32,33],therein:11,thereof:[0,6,13,28,31,33],theta:[1,4,13,25,33],theta_:[1,13,33],theta_i:1,theta_linreg:[13,33],theta_t:[13,33],thi:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,21,22,23,24,25,27,29,30,31,32,33],thing:[0,1,2,4,5,7,9,25,28,30,31,32],think:[0,1,3,4,6,9,12,13,14,25,28,31,32,33],third:[0,3,6,13,26,28,32,33],thirti:[7,32],thorughout:28,those:[0,3,5,6,8,9,10,11,22,23,24,28,29,31],though:[1,2,3,4,13,22,25,33],thought:[6,14,23,25,31],thousand:[0,1,23,29,33],three:[0,1,3,5,6,8,9,12,15,22,23,24,25,26,28,29,30,31,32],threshold:[1,3,9,10,11,12,13,33],through:[0,1,2,3,4,5,6,8,11,12,13,14,21,22,25,28,29,30,31,32,33],throughout:[0,4,5,14,21,22,25,28],thu:[0,1,2,5,6,7,8,10,11,12,13,23,26,28,29,30,31,32,33],thumb:[0,6,23,28,29],thursdai:[26,29],tibshirani:[6,18,23,24,27,28,31],tick:6,tick_param:6,ticker:[6,13,23,25,32,33],tif:[6,23],tight_layout:[1,7,32],tightli:11,tild:[0,5,6,7,11,15,16,17,18,19,23,25,28,29,30,31],till:[0,4,7,8,9,10,12,22,28,29,30,32],time:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,21,22,23,25,28,29,30,31,32],timeit:4,timer:4,tini:1,tip:3,titl:[0,1,2,3,4,6,7,8,9,10,13,23,25,28,31,32,33],tmp:[13,33],tn:[2,3,7],to_categor:[1,3,4],to_categorical_numpi:1,to_numer:[0,6,28,31],todai:3,togeth:[0,3,6,8,11,13,21,28,33],toi:[14,33],told:[13,33],toler:[2,6,14],tolist:4,tomographi:12,too:[0,2,4,5,6,9,11,13,15,25,27,28,29,31,32,33],took:[8,28],tool:[0,1,3,6,13,21,29,31,33],toolbox:8,top:[0,3,5,6,9,10,18,21,28,30,31],topic:[0,5,6,7,8,21,23,29,30,32],topograph:23,topolog:[1,3,12],toposort:2,torkjellsdatt:[26,28],toss:[10,25],total:[0,1,2,3,4,6,7,8,9,10,11,12,13,14,15,16,22,25,26,28,29,31,32,33],total_loss:4,totalclustervari:14,totalscatt:14,toward:[1,2,7,12,13,23,32,33],towardsdatasci:33,town:0,tp:[4,7],tpng:9,tpu:[13,21,28,33],tqdm:6,tr:29,trace:2,trace_stack:[],traceback:[0,1,2,3,4,6,7,10,13,14,23,28,30,32],tracer:2,track:[3,13,14,22,29,32,33],tract:0,tractabl:[0,28,29],trade:[5,9,19,30,31],tradeoff:[0,5,19,23,28,29,30,32],tradit:[0,1,4,6,28,31],train:[2,3,5,6,8,9,10,11,12,13,17,19,23,30,31,32,33],train_accuraci:[0,1,3,28],train_dataset:4,train_end:[0,1,29],train_error:6,train_imag:[3,4],train_ind:[6,31,32],train_label:[3,4],train_pr:1,train_siz:[0,1,3,29],train_step:4,train_test_split:[0,1,3,5,6,7,9,10,11,28,29,30,31,32],train_test_split_numpi:[0,1,29],trainable_vari:4,trained_model:[6,29,30],trainerror:[0,29],traini:4,training_checkpoint:4,training_dataset:4,training_gradi:[13,33],training_gradient_fun:33,training_loss:33,trainingerror:[6,31],trainpredict:4,trainscor:4,trainx:4,trait:[0,28],trajectori:4,transfer:9,transform:[0,5,6,7,8,9,10,11,12,13,21,22,28,29,30,31,32,33],transit:[6,12],translat:[1,4,6,10,28,29,30],transpos:[1,5,11,22,29,30],travers:[0,5],treat:[0,1,3,6,12,13,25,28,29,30,31,32,33],tree:[0,1,6,21,23,28],tree_clf:[9,10],tree_clf_:9,tree_clf_sr:9,tree_reg1:9,tree_reg2:9,tree_reg:9,trend:25,treue:7,trevor:[18,23,27],tri:[2,3,4,9,13,32,33],triain:0,trial:[0,2,4,6,13,25,28,31,32,33],triangl:[13,32,33],triangular:22,trick:[3,4,8,11,13,25,33],trickier:25,tridiagon:22,trigger:[0,7,32],trillion:21,trivial:[0,1,5,11,25,28,30],troubl:[0,8,12,29],truck:3,true_beta:[6,29,30],true_divid:1,true_fun:[6,31],trust:9,tucker:8,tuesdai:[26,28,31,32,33],tumor:[7,9,32],tumour:[7,32],tunabl:1,tune:[4,9,13,22,28,32,33],tup:[],tupl:2,turn:[0,1,5,6,7,8,9,10,11,12,13,19,22,23,25,28,29,31,32,33],tutori:[1,4],tv:2,tveito:2,tweak:[1,4,10,25],twice:[13,32,33],twist:11,two:[0,1,2,4,5,6,7,9,10,11,12,13,15,16,22,24,25,27,28,30,31,33],tx:[13,32,33],tx_1:[13,32,33],txt:4,ty:[13,32,33],type:[0,1,3,6,8,10,13,16,22,23,25,29,30,31,32,33],typeerror:[2,6,13],typic:[0,1,2,3,4,5,7,9,10,12,13,25,28,29,30,31,32,33],typo:23,u:[0,2,5,6,8,10,11,12,17,22,28,29,30],u_:22,u_i:12,u_m:10,ua:[0,28],ubuntu:[0,15,21,23,28],uci:0,ufunc:2,uio:[23,26,27],un:14,unabl:9,unari:[22,28],unary_f:2,unary_oper:2,unary_to_nari:2,unbalanc:[6,9,31,32],unbias:[0,5,6,28,30,31],unbroadcast:2,unbroadcast_f:2,uncent:[6,30],uncertainti:[0,5,28,30,31],uncertitud:25,unchang:[1,3],uncorrel:[10,25],undefin:[5,29],under:[0,1,5,6,10,13,15,16,21,23,28,29,30,31,32,33],underdetermin:[0,28],underfit:[1,6,31],underflowproblem:[5,30,31],undergo:[5,30,31],undergradu:[24,26],underli:[0,1,9,13,25,28,33],underset:[4,14],understand:[0,1,3,5,6,10,13,14,21,28,29,30,32,33],understood:[8,13,33],undesir:8,undetermin:[5,8,30,31],undo:4,unexpect:[6,13,31],unexpected:25,unfair:[6,29,30],unfortun:[1,8,9,10],unicode_liter:[8,9],uniform:[0,1,5,6,11,13,15,16,23,25,28,29,32,33],uniformli:[13,25,32,33],unifrompdf:25,unimport:[13,32,33],union:[5,6,30,31,32],uniqu:[0,2,6,13,14,22,28,31,32,33],unique_cluster_label:14,unit:[0,1,3,4,5,10,12,25,28,29,30],unitari:[5,6,22,29],unitarili:[22,28],uniti:25,univari:25,univers:[0,1,2,13,15,21,23,24,26,28,29,30,31,32,33],unix:1,unknow:[0,22,28],unknown:[0,1,3,4,5,6,8,10,13,16,22,28,29,30,31,33],unknowwn:12,unlabel:1,unless:[0,3,6,11,13,23,28,31,32,33],unlik:[1,3,8,13,32,33],unnecessarili:9,unord:3,unravel:1,unrol:[3,11],unseen:[0,7,9,32],unstabl:1,unsupervis:[0,1,4,12,21,28],unsymmetr:[22,28],until:[1,2,4,9,12,13,14,32,33],untouch:0,unusu:12,up:[1,3,4,5,6,8,10,11,13,14,16,18,21,22,23,25,26,30,33],updat:[1,2,10,12,13,14,33],uploa:28,upload:[21,23,27],upon:[0,1,6,7,11,22,23],upper:[0,8,9,16,22,29],uppercas:[22,28],upsampl:4,upscal:4,url:[0,7,28,29,32],us:[4,5,6,8,9,10,11,12,14,15,16,17,18,19,22,24,25,27,30,31],usa:28,usag:[0,8,21,28,29],usd10000:0,usd:0,use_bia:4,usecol:[0,28],useless:1,user:[0,1,2,3,4,6,7,8,9,11,14,15,21,22,23,28,29,30,32],usernam:23,userwarn:6,usetex:25,usg:[6,23],usr:25,usual:[0,3,4,7,12,13,14,28,32,33],ut:[5,30],utf:[0,7,32],util:[1,3,4,6,7,10,14,28,31,32],ux:22,v0:25,v1:25,v2:25,v:[2,4,5,6,11,13,17,21,29,30,33],v_0:11,va:1,vahid:28,val:[13,33],val_accuraci:3,val_loss:4,vale:2,valid:[0,1,4,7,9,10,13,21,25,28,29,33],validation_data:3,validation_split:4,valu:[0,1,2,3,4,6,7,8,9,10,12,13,14,15,16,19,21,22,23,28,33],valuat:9,valueerror:[],valy:4,van:[0,18,23,28,29,30,31],vandenbergh:[8,13,32,33],vandermond:[0,28],vanilla:[0,6,11,14,29,30],vanish:[1,4,13,25,32,33],var_x:25,varabl:8,varepsilon:[5,6,18,23,30,31],varepsilon_:[5,6,30,31],varepsilon_i:[5,6,30,31],vari:[0,1,3,5,6,10,15,16,28,31],variabl:[0,1,2,5,6,7,8,10,11,12,13,14,22,28,29,30,31],varianc:[0,1,5,7,9,10,11,13,14,18,19,21,22,25,28,29,32,33],variance_i:[5,11,29],variance_x:[5,11,29],variant:[0,1,6,8,12,13,28,29,32,33],variat:[3,4,11,28],varieti:[0,3,12,15,21,23,28],variou:[1,3,5,6,7,8,9,11,12,13,16,18,21,22,23,25,29,30,33],varydimens:4,vastli:3,vaue:1,vault:0,vdot:[2,13,32,33],ve:23,vec:[6,31],vector:[0,1,2,3,4,5,6,7,9,10,11,13,14,16,17,21,30,31,32,33],vector_mean:14,ventur:[0,8,15,21,28],verbos:[1,3,4],veri:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,23,25,27,28,29,30,31,32,33],verifi:[3,11,22,28],versatil:[8,28],versicolor:[8,9],version:[0,3,10,13,14,15,21,22,23,25,28,33],versu:1,vert:[0,1,5,6,7,8,9,11,13,17,28,29,30,31,32,33],vert_1:[5,6,29,30,31],vert_2:[5,6,11,17,29,30,31],via:[0,5,6,7,8,9,10,11,12,15,19,21,22,23,24,25,26,28,29,30,31,32],vidal:11,video:[0,1,12,21,24,26,28,29,30,31],view:[1,3,5,6,12,13,25,27,28,30,31,33],violat:8,virginica:9,viridi:[0,1,2,3,28],virtual:1,viscos:[13,33],viscou:[13,33],visibledeprecationwarn:2,vision:[0,3],visual:[0,3,11,12,15,21,28,29],visualis:1,viz:[6,8,25],vjp:2,vjp_argnum:2,vjpfun:2,vjpmaker:[],vjpnode:[],vmap:[13,33],vmax:[1,6],vmin:[1,6],voic:3,volum:[0,3,28],vote:10,voting_clf:10,votingclassifi:10,votingsimpl:10,vs:[0,4,6,33],vspace:2,vstack:[5,11,22,25,28,29],vt:[5,29,30],w1:8,w2:[8,11],w3:8,w:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,22,25,28,29,31,32,33],w_1:[8,22],w_1x_1:8,w_1x_:8,w_2:[8,22],w_2x_2:8,w_2x_:8,w_3:22,w_4:22,w_:[1,12],w_hidden:2,w_i:[1,2,10],w_ix_i:12,w_j:22,w_m:22,w_output:2,w_px_:8,w_px_p:8,wa:[0,1,3,4,5,6,7,10,11,12,14,17,22,23,28,29,30,31,32],wai:[0,1,2,3,4,5,6,7,8,10,11,12,13,14,17,22,25,28,29,30,32,33],walk:9,walker:25,wang:[0,28],want:[0,1,2,3,4,5,6,8,9,10,11,12,13,14,15,16,17,21,23,25,28,29,30,31,32,33],warn:[4,8],warrant:[6,31,32],wast:[3,33],watch:21,wave:3,wavelet:8,we:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,29,30,31,32],weak:[9,10,14],weather:[1,12],web:[21,24,26,28],webpag:28,websit:[6,22,23,24,28],wedg:[8,25],wednesdai:[26,28,31,32,33],wee:11,week:[0,5,6,7,23,24,26],weekli:[16,21,23,26,27,28],weight:[0,1,2,3,6,7,9,10,12,13,23,25,32,33],weigth:2,welcom:[8,21],well:[0,1,2,3,4,5,6,7,8,9,10,12,13,15,16,19,20,21,22,23,25,27,28,29,30,31,32,33],went:8,were:[0,1,3,4,5,6,7,8,10,11,12,14,25,28,29,31,32],wessel:[0,18,23,28,29,30,31],what:[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,19,21,22,23,25,32,33],whatev:3,when:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,22,23,25,28,29,30,31,32],whenev:[13,25,33],where:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,21,22,23,25,26,28,29,30,31,32,33],wherea:[6,25,31],wherefrom:23,wherein:[1,12],whether:[0,3,5,7,9,23,25,28,30,32],which:[0,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,28,29,30,31,32],whichev:[1,3],white:9,whiteboard:[30,31,32,33],who:[0,24],whole:[1,3,4,5,9,11,13,30,31,33],whose:[0,6,10,25,29,31],whow:[11,29],why:[0,1,3,6,13,23,30,32,33],wide:[0,1,3,6,7,12,15,21,22,23,28,31,32],widehat:[6,31],width:[0,3,8,9,28],wieringen:[0,18,23,28,29,30,31],win:10,wind:9,wing:[26,28],winther:2,wiothout:[6,29],wiscons:[7,32],wisconsin:10,wisdom:[6,30],wise:[0,1,5,12,13,29,33],wish:[0,2,5,7,8,11,13,14,22,23,28,29,32,33],with_std:[0,29],wither:6,within:[0,2,3,4,7,9,12,13,14,25,27,28,32,33],withinclust:14,without:[0,1,5,6,8,9,11,12,13,28,29,30,31,33],won:[0,28],wonder:8,word:[0,1,3,4,5,6,7,14,25,28,29,30,31],work:[0,1,4,6,7,8,9,13,15,21,23,24,25,26,28,29,31,32,33],workshop:28,world:[0,8,29],worldwid:[0,28],wors:[0,1,3,4,6,28,31],worst:9,worth:9,worthi:23,would:[0,1,3,5,6,7,8,9,10,11,12,13,22,23,25,28,29,30,31,32,33],wrap:[6,22,28],wrap_util:2,write:[0,1,2,3,5,6,7,8,12,13,15,16,17,20,22,28,29,31,32,33],written:[0,2,3,5,11,12,13,16,21,22,23,25,28,29,30,31,32,33],wrong:[1,8],wrongli:10,wrote:[5,11,29],wrt:[2,10,13,33],wth:[10,13,33],www:[21,22,23,27,28,30],wx_1:8,x0:8,x1:[4,8,9,10,13,33],x1_exampl:8,x1d:8,x2:[8,9,10,13,33],x2d:[8,11],x2d_train:11,x2dsl:11,x3:[8,9],x4:9,x:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,22,23,25,28,31,32,33],x_0:[0,5,11,22,28,29,30,31],x_1:[0,2,5,6,7,8,9,10,11,13,22,25,28,29,30,31,32,33],x_2:[0,2,5,6,7,8,9,10,11,13,22,25,28,29,31,32,33],x_3:[8,22,25],x_4:22,x_:[0,2,3,5,6,8,10,11,13,14,18,22,23,25,28,29,30,31,32,33],x_center:11,x_data:1,x_data_ful:1,x_hidden:2,x_i:[0,1,2,5,6,7,8,9,10,11,12,13,14,17,22,25,28,29,30,31,32,33],x_input:2,x_ix_:[0,28],x_iy_i:8,x_j:[0,2,8,9,12,16,25,29],x_jy_j:8,x_k:[12,14,22,25,29],x_l:25,x_m:[6,12,22,25,31],x_n:[0,2,3,6,8,11,12,13,22,25,28,31,32,33],x_new:[9,10],x_offset:[6,29,30],x_output:2,x_p:[3,7,9,32],x_poli:9,x_poly10:9,x_pred:4,x_prev:2,x_reduc:11,x_scale:8,x_small:[13,33],x_test:[0,1,3,5,6,7,9,10,11,28,29,30,31,32],x_test_own:6,x_test_scal:[0,6,7,9,10,11,29,30],x_tot:4,x_train:[0,1,3,4,5,6,7,9,10,11,28,29,30,31,32],x_train_mean:[6,29,30],x_train_own:6,x_train_scal:[0,6,7,9,10,11,29,30],x_val:1,xarrai:[21,28],xavier:1,xbkjd4ccgq:28,xbnew:[13,32,33],xcode:[0,15,21,23,28],xdclassiffierconfus:10,xdclassiffierroc:10,xg_clf:10,xgb:10,xgbclassifi:10,xgboost:9,xgboot:10,xgbregressor:10,xgparam:10,xgtree:10,xi:[8,13,33],xi_1:8,xi_:8,xi_i:8,xinv:30,xk:8,xla:[13,21,28,33],xlabel:[0,1,2,3,4,5,6,7,8,9,10,13,23,25,28,30,31,32,33],xlim:[6,10,31],xm:9,xmesh:[13,33],xnew:[0,13,28,32,33],xp:25,xpanda:[0,29],xpd:[5,11,29],xplot:0,xs:9,xscale:[0,29],xsr:9,xt_x:[13,32,33],xtest:[6,31,32],xtick:[3,6,8,9,31],xtrain:[6,31,32],xu:[0,28],xx:[0,22,28],xy:[0,6,8,22,23,28],xytext:8,xz:[22,28],y1:4,y2:4,y3:4,y:[0,1,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,22,23,25,28,29,30,31,32,33],y_0:[0,5,11,22,28,29,30,31],y_1:[0,5,8,9,11,13,22,28,29,30,31,32,33],y_1y_1:8,y_1y_1k:8,y_1y_2:8,y_1y_2k:8,y_1y_n:8,y_1y_nk:8,y_2:[0,5,8,9,11,22,28,29],y_2y_1:8,y_2y_1k:8,y_2y_2:8,y_2y_2k:8,y_3:[0,9,22],y_4:22,y_:[0,1,5,6,10,11,22,28,29,30,31],y_data:[0,1,5,6,28,29,30,32],y_data_ful:1,y_decis:8,y_fit:[0,29],y_i:[0,1,5,6,7,8,9,10,11,12,13,15,16,17,18,19,22,23,28,29,30,31,32,33],y_if_:10,y_ix_:[0,28],y_ix_i:[7,8,13,29,32,33],y_iy_jk:8,y_j:[6,8,12,19,23,31],y_k:12,y_m:22,y_model:[0,4,5,6,28,29,30,32],y_n:[8,13,32,33],y_ny_1:8,y_ny_1k:8,y_ny_2:8,y_ny_2k:8,y_ny_n:8,y_ny_nk:8,y_offset:[6,29,30],y_plot:9,y_pred1:9,y_pred2:9,y_pred:[0,1,4,6,7,8,9,10,29,30,31,32],y_pred_rf:10,y_pred_tre:10,y_proba:[7,10,32],y_scaler:[6,30],y_test:[0,1,3,4,5,6,7,9,10,11,28,29,30,31,32],y_test_onehot:1,y_test_predict:0,y_tot:4,y_train:[0,1,3,4,5,6,7,9,10,11,28,29,30,31,32],y_train_mean:[6,29,30],y_train_onehot:1,y_train_predict:0,y_train_scal:[6,30],y_val:1,ye:[3,6,7,31,32],year:[0,21,28],yet:[0,1,6,8,11,13,28,32,33],yi:[13,33],yield:[0,2,5,6,7,8,10,12,13,14,22,25,28,30,31,32,33],yk:8,ylabel:[0,1,2,3,4,5,6,7,8,9,10,13,23,25,28,30,31,32,33],ylim:[3,6,31],ym:9,ymesh:[13,33],yn:0,yo:[8,9,10],yoshua:[1,27],you:[0,1,2,3,4,5,6,8,9,10,11,13,15,16,17,19,20,21,22,23,25,26,27,28,29,30,31,32,33],young:0,your:[1,2,4,5,6,8,11,13,17,19,20,21,22,23,30,31,32,33],yourself:[11,13,28,33],youtu:32,youtub:21,ypred:[6,31,32],ypredict2:[13,32,33],ypredict:[0,13,28,29,32,33],ypredictlasso:[5,30],ypredictol:[0,5,30],ypredictown:[6,29,30],ypredictownridg:[6,30],ypredictridg:[0,5,6,30,32],ypredictskl:[6,29,30],yridg:28,ys:9,ytest:[6,31,32],ytick:[3,6,8,9,31],ytild:[0,6,28,29,31],ytildelasso:[5,30],ytildenp:[0,28,29],ytildeol:[0,5,30],ytildeownridg:[6,30],ytilderidg:[5,6,30],ytrain:[6,31,32],yuxi:28,yx:[22,28],yy:[22,28],yz:[22,28],z:[0,1,2,3,4,5,6,7,8,9,11,12,13,22,23,25,28,29,31,32,33],z_0:[22,28],z_1:[22,28],z_2:[22,28],z_:[1,2,12,22,28],z_c:1,z_h:1,z_hidden:2,z_i:[1,12],z_j:[1,12],z_k:[12,29],z_m:1,z_mod:9,z_o:1,z_output:2,zaman:25,zaxi:[6,23],zero:[0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,17,18,19,22,23,25,28,29,30,31,32,33],zeros_lik:4,zeroth:29,zfill:4,zip:[2,4,6],zm_h:[0,28],zn:0,zone:0,zoom:28,zx:[22,28],zy:[22,28],zz:[22,28]},titles:["<span class=\"section-number\">3. </span>Linear Regression","<span class=\"section-number\">14. </span>Building a Feed Forward Neural Network","<span class=\"section-number\">15. </span>Solving Differential Equations  with Deep Learning","<span class=\"section-number\">16. </span>Convolutional Neural Networks","<span class=\"section-number\">17. </span>Recurrent neural networks: Overarching view","<span class=\"section-number\">4. </span>Ridge and Lasso Regression","<span class=\"section-number\">5. </span>Resampling Methods","<span class=\"section-number\">6. </span>Logistic Regression","<span class=\"section-number\">8. </span>Support Vector Machines, overarching aims","<span class=\"section-number\">9. </span>Decision trees, overarching aims","<span class=\"section-number\">10. </span>Ensemble Methods: From a Single Tree to Many Trees and Extreme Boosting, Meet the Jungle of Methods","<span class=\"section-number\">11. </span>Basic ideas of the Principal Component Analysis (PCA)","<span class=\"section-number\">13. </span>Neural networks","<span class=\"section-number\">7. </span>Optimization, the central part of any Machine Learning algortithm","<span class=\"section-number\">12. </span>Clustering and Unsupervised Learning","Exercises week 34","Exercises week 35","Exercises week 36","Exercises week 37","Exercises week 38","Exercises week 39","Applied Data Analysis and Machine Learning","<span class=\"section-number\">2. </span>Linear Algebra, Handling of Arrays and more Python Features","Project 1 on Machine Learning, deadline October 7 (midnight), 2024","Teaching schedule with links to material","<span class=\"section-number\">1. </span>Elements of Probability Theory and Statistical Data Analysis","Teachers and Grading","Textbooks","Week 34: Introduction to the course, Logistics and Practicalities","Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression","Week 36: Linear Regression and Statistical interpretations","Week 37: Statistical interpretations and Resampling Methods","Week 38: Logistic Regression and Optimization","Week 39: Optimization and  Gradient Methods"],titleterms:{"1":[0,15,16,17,18,23,28,29],"16":32,"2":[0,15,16,17,18,28,29,30],"2023":26,"2024":[23,33],"21":[],"23":33,"26":29,"27":33,"3":[0,15,16,28,29],"34":[15,28],"35":[16,29],"36":[17,30],"37":[18,31],"38":[19,32],"39":[20,33],"4":[0,29],"5":0,"7":23,"9":31,"case":[8,10,25,29,30,32,33],"class":32,"do":[1,30,31,33],"final":[12,29,30,33],"function":[0,1,6,7,8,10,11,12,13,23,25,28,29,30,31,32,33],"import":[5,22,28,29,30],"new":[4,30,31],A:[0,1,4,8,9,28,30,31,32],And:[28,29,30,32,33],But:33,For:29,In:26,Ising:6,The:[0,1,2,3,5,6,7,8,9,11,12,17,21,28,29,30,31,32,33],To:[28,29],With:[4,30],about:[28,29],abov:30,activ:[1,12,30],ad:[0,6,17,23,28,29],adaboost:10,adagrad:[13,33],adam:[13,33],adapt:[10,33],adjust:1,adversari:4,again:[3,9,32],ai:[23,28],aim:[8,9,17,18,19,20,28],aka:[28,29],algebra:[22,28],algorithm:[9,10,11,12,29,33],algortithm:[13,32,33],all:8,an:[0,4,10,28],analys:[5,29],analysi:[0,5,6,11,21,23,25,28,29,30,31],analyt:[0,16,17],ani:[13,32,33],anoth:[9,30,31],appli:21,approach:[0,8,14,28,31,33],approxim:12,architectur:1,argument:33,arrai:[22,28],assist:26,assumpt:[30,31],august:29,autocorrel:25,autograd:[2,13,33],automat:[13,33],avoid:[],b:[17,23,33],back:[1,11,12],background:[21,23,31],bag:10,base:[13,31,33],basic:[0,5,7,9,10,11,22,29,30,31,32],batch:[1,33],bay:[5,30,31],befor:11,beta:[30,31],better:8,bia:[6,23,31],binari:1,bind:28,bird:10,boldsymbol:[29,30,31],boost:10,bootstrap:[6,10,31],boston:0,breast:1,brief:[28,31,32,33],bring:12,build:[1,3,9],c:[23,28],calcul:29,can:[28,31,33],cancer:[1,7,9,11,32],cart:9,center:29,central:[13,21,25,31,32,33],chain:12,challeng:32,chang:10,channel:28,chi:[0,28],choos:1,cifar01:3,classic:11,classif:[1,9,10,32],classifi:[8,32],clip:1,cluster:14,cnn:3,code:[0,1,2,5,9,11,12,13,14,28,29,30,31,32,33],collect:[1,3],come:32,commun:28,compact:32,compar:[2,10],comparison:30,compet:33,complet:29,complex:[0,6,23,29],complic:[6,33],compon:11,comput:[9,33],computation:31,computerlab:28,con:9,concept:25,condit:[30,31,32,33],confid:31,conjug:[13,33],contn:28,convex:[8,13,32,33],convolut:[3,12],correctli:[30,31],correl:[11,29,32],correspond:[32,33],cost:[1,10,29,30,31,32,33],cours:[21,27,28],covari:[5,11,25,29],cover:28,cross:[6,23,31,32],cython:28,d:23,data:[0,1,3,6,7,9,11,15,16,21,23,25,28,29,30,32],dataset:[1,3],deadlin:[23,28],decai:[2,33],decis:[9,10],decomposit:[5,11,17,22,29],deep:[1,2,28,32],defin:[1,28],degre:[0,29],deliveri:23,delta:31,dens:[0,28],deriv:[5,12,29,30,31,32,33],descent:[2,10,13,32,33],descript:23,design:29,detail:[3,28],develop:1,diagon:11,differ:[8,33],differenti:[2,13,33],diffus:2,dimension:[2,3,8,23,29],directli:33,disadvantag:9,discret:25,discuss:32,distribut:[5,25,30,31],distrubut:31,doe:[29,30],domain:25,dot:33,down:1,dropout:1,e:23,each:32,economi:29,electron:23,element:[0,25,28,33],elimin:22,energi:28,ensembl:10,entropi:[9,32],environ:[0,15,28],equat:[0,2,12,28,29,30,32,33],error:[0,10,28,29,31],essenti:28,estim:[30,31],etc:28,euler:2,evalu:1,exampl:[0,1,2,3,4,6,7,8,9,10,28,29,30,31,32,33],exercis:[0,6,15,16,17,18,19,20,28,29],expect:[18,25,30,31],expens:31,experi:25,explor:[0,15,16,28],exponenti:2,express:[17,18,29,32,33],extend:[32,33],extrapol:4,extrem:[10,28],ey:10,f:23,fall:26,famili:[1,28,29],famou:22,fantast:29,featur:[9,22,29],feed:[1,12],find:[31,33],fine:1,first:[4,12,28,29,30,32,33],fit:[0,10,28,30],fix:29,fold:[31,32],forc:3,forest:10,format:[23,28],forward:[1,2,12],fourier:3,frank:[6,23,29],freedom:[0,29],frequent:29,frequentist:[0,28],fridai:[],from:[5,10,12,29,30,31,32,33],full:2,further:[3,5,29],g:23,gan:4,gaussian:22,gd:[13,33],gener:[4,9,28],geometr:[11,32,33],gini:9,good:[0,28],grade:[26,28],gradient:[1,2,10,13,32,33],grid:32,group:32,growth:2,ha:21,handl:[22,28,29],happen:[30,31],hessian:[29,32,33],hidden:2,histogram:31,homework:[32,33],hous:0,how:32,hyperparamet:1,hyperplan:8,i:1,id3:9,idea:11,ideal:[32,33],ident:[30,31],identifi:31,ii:28,iid:[30,31],illustr:30,implement:1,implic:[5,29],improv:[1,33],includ:[13,32,33],increment:11,independ:[30,31],index:9,inform:26,input:2,instal:[21,23,28],instructor:26,intercept:29,interpret:[5,11,28,29,30,31,32,33],interv:31,introduc:[11,13,29,33],introduct:[0,6,21,22,23,28],invers:[5,22,30],invert:29,iter:[10,33],its:29,jacobian:29,jax:[13,33],julia:28,jungl:10,k:[31,32],kera:[1,3],kernel:[8,11],lab:[31,32,33],lagrangian:8,lambda:32,lasso:[5,6,23,29,30,31,32],last:[29,32],later:[5,29],layer:[1,2,3,12],learn:[0,1,2,11,13,14,15,16,21,23,28,29,30,31,32,33],least:[5,6,18,23,28,29,30],lectur:[28,29,30,31,32,33],level:10,librari:[21,28],likelihood:[7,30,31,32],limit:[1,13,25,31,32,33],linear:[0,8,13,22,28,29,30,32],link:[5,11,24,27,29,30,31],literatur:23,logist:[7,28,32,33],loop:33,loss:[29,32,33],lu:22,machin:[0,8,13,21,23,28,32,33],made:[30,31],main:[25,28],make:[0,9,10,15,16,28,29],mani:[10,12],manipul:29,margin:[30,31],mass:28,materi:[23,24,28,29,30,31,32],math:[5,29],mathemat:[3,5,8,29,33],matric:[5,22,28,30],matrix:[1,5,11,12,22,28,29,30,32,33],matter:[0,28],max:29,maximum:[30,31,32],mean:[0,29,30,32],measur:32,meet:[5,10,25,28,29],mercer:8,method:[6,9,10,13,23,28,31,32,33],midnight:23,min:29,mini:33,minibatch:33,minim:[28,32],ml:28,mle:[30,31],mlp:12,mnist:[3,4],model:[0,1,4,6,12,28],moment:33,momentum:[13,33],mondai:[29,30,31,32,33],moon:[8,9],more:[3,6,22,23,28,29,30,31,32,33],multilay:12,multipl:[1,3],multipli:8,need:[23,28],network:[1,2,3,4,7,12,28,32],neural:[1,2,3,4,7,12,28],newton:[32,33],noen:[],non:8,none:33,normal:[0,1,31],notat:12,note:[23,29,30],now:[1,9,13,30,31,33],nuclear:[0,28],nueral:32,numba:28,number:[0,2,25,29,33],numer:[2,23,25],numpi:[22,28,33],object:3,obtain:11,octob:23,od:2,off:[6,23],ol:[5,6,23,30,31,33],one:[2,12,32,33],oper:22,optim:[1,8,13,21,28,29,32,33],order:[13,33],ordinari:[5,6,18,23,28,29,30],organ:[0,28],oslo:27,other:[4,9,11,12,22,23,28,29,32],our:[0,4,5,11,13,28,29,32,33],outcom:[21,28],output:2,overarch:[0,4,8,9,17,18,19,20,28,29],overview:[10,28,33],own:[0,10,11,15,16,28,29],packag:[22,28],panda:[28,29],paper:23,paramet:[28,29,32,33],part:[13,21,23,29,32,33],partial:2,pass:1,pca:11,pdf:25,pencil:23,perceptron:12,perform:[1,9],period:3,perspect:1,plan:[29,30,31,32,33],plot:[31,32],point:4,poisson:2,polynomi:[3,30],popul:2,popular:28,practic:[13,26,28,33],pre:[1,3],preambl:23,predict:4,predictor:32,preprocess:29,prerequisit:[3,21,28],princip:11,principl:3,pro:9,probabl:[5,25,30,31],problem:[1,2,13,28,29,30,32,33],procedur:[9,28],process:[1,3],product:33,program:[2,13,23,32,33],project:[6,23,28,32],prop:[13,33],propag:[1,12],properti:[5,25,29,32],python:[0,9,15,21,22,28],quick:8,r:28,random:[10,11,25,32],raphson:[32,33],rate:33,read:[9,28,29,31,32],real:[6,23,28],recommend:[28,29],rectangular:30,recurr:[4,12],recurs:33,reduc:[0,29],reduct:3,refer:23,reformul:2,regress:[0,5,6,7,9,10,13,17,18,23,28,29,30,31,32,33],regular:[1,32],relat:29,relev:[27,29,32],relu:1,remark:3,remind:[6,8,28,32,33],repeat:29,replac:[13,33],report:23,repositori:31,requir:[2,21],resampl:[6,23,31],rescal:[6,30],residu:29,resourc:2,result:[29,30],revisit:[13,32,33],rewrit:[28,29,31],rewritten:32,ridg:[0,5,6,17,18,23,29,30,31,32,33],rm:[13,33],rmsprop:33,rule:12,s:[8,10,31,32,33],same:[13,31,33],sampl:11,scale:29,schedul:[24,28],schemat:9,scheme:2,scienc:28,scikit:[0,1,11,15,16,28,29,30,31,32,33],search:32,second:[13,33],select:32,semest:26,sensit:[32,33],septemb:[30,31,32,33],session:[29,30,31,32,33],set:[0,2,3,9,12,15,28,29,32],sgd:[13,33],should:1,similar:[13,33],simpl:[0,4,9,13,28,29,30,32,33],singl:10,singular:[5,11,17,29],size:29,slightli:33,soft:8,softmax:1,softwar:[23,28],solv:[2,30,32,33],solver:13,some:[13,22,29,32,33],specifi:2,split:[0,15,16,28,29],squar:[0,5,6,10,18,23,28,29,30],standard:[13,29,31,33],state:[0,28],statist:[5,6,21,25,28,30,31],steepest:[10,13,32,33],step:[31,32,33],still:29,stochast:[13,25,33],stop:33,strongli:28,studi:32,subtract:29,suggest:[28,32],sum:31,summari:[26,28],superposit:3,supervis:1,support:8,svd:[5,29,30],syntax:33,systemat:3,t:[29,30],teach:[24,26],teacher:[26,28],technic:30,techniqu:[6,11,23],technolog:21,tensorflow:[1,3],tent:28,term:31,test:[0,1,15,16,28,29,30],text:28,textbook:[27,28],than:[32,33],theorem:[5,8,11,12,25,30,31],theori:25,thi:[17,18,19,20,28],think:29,thursdai:[],time:33,tip:[13,33],togeth:12,tool:[23,28],top:1,topic:28,toward:11,trade:[6,23],tradeoff:[6,31],train:[0,1,4,15,16,28,29],transform:3,tree:[9,10],tuesdai:30,tune:1,two:[3,8,21,23,29,32],type:[2,4,12,28],uio:28,understand:31,univers:[12,27],unsupervis:14,unsupport:33,up:[0,2,9,12,15,28,29,31,32],us:[0,1,2,3,7,13,21,23,28,29,32,33],usag:[30,31],valid:[6,23,31,32],valu:[5,11,17,18,25,29,30,31,32],vari:33,variabl:[25,32,33],varianc:[6,23,30,31],variou:[0,15,28,31,32],vector:[8,12,22,28,29],video:[32,33],view:[0,4,10,29],visual:[1,9],vs:3,wai:[9,31],wave:2,we:[28,33],wednesdai:30,week:[15,16,17,18,19,20,28,29,30,31,32,33],weekend:32,weekli:24,what:[0,28,29,30,31],when:33,which:[1,33],why:[28,29,31],wisconsin:[7,32],wrap:[29,31],write:[4,11,23,30],x:[29,30],xgboost:10,yet:30,your:[0,10,15,16,28,29],yourself:32}})
\ No newline at end of file
diff --git a/doc/LectureNotes/_build/html/week39.html b/doc/LectureNotes/_build/html/week39.html
index 4f2487bc5..20147b173 100644
--- a/doc/LectureNotes/_build/html/week39.html
+++ b/doc/LectureNotes/_build/html/week39.html
@@ -784,11 +784,6 @@ const thebe_selector_output = ".output, .cell_output"
    The syntax a.dot(b) when finding the dot product
   </a>
  </li>
- <li class="toc-h2 nav-item toc-entry">
-  <a class="reference internal nav-link" href="#recommended-to-avoid">
-   Recommended to avoid
-  </a>
- </li>
  <li class="toc-h2 nav-item toc-entry">
   <a class="reference internal nav-link" href="#using-autograd-with-ols">
    Using Autograd with OLS
@@ -1252,11 +1247,6 @@ const thebe_selector_output = ".output, .cell_output"
    The syntax a.dot(b) when finding the dot product
   </a>
  </li>
- <li class="toc-h2 nav-item toc-entry">
-  <a class="reference internal nav-link" href="#recommended-to-avoid">
-   Recommended to avoid
-  </a>
- </li>
  <li class="toc-h2 nav-item toc-entry">
   <a class="reference internal nav-link" href="#using-autograd-with-ols">
    Using Autograd with OLS
@@ -1331,10 +1321,8 @@ doconce format html week39.do.txt --no_mako -->
 <ul class="simple">
 <li><p>Repetition of Logistic regression equations and classification problems and discussion of Gradient methods. Examples on how to implement Logistic Regression and discussion of gradient methods</p></li>
 <li><p>Stochastic Gradient descent with examples and automatic differentiation (theme also for next week).</p></li>
-</ul>
-<!-- * [Video of lecture](https://youtu.be/bFRVuIJroHs) -->
-<!-- * Whiteboard notes TBA at <https://github.com/CompPhysics/MachineLearning/blob/master/doc/HandWrittenNotes/2023/NotesSep28.pdf> -->
-<ul class="simple">
+<li><p><a class="reference external" href="https://youtu.be/ISGpTC28Vmk">Video of lecture</a></p></li>
+<li><p><a class="reference external" href="https://github.com/CompPhysics/MachineLearning/blob/master/doc/HandWrittenNotes/2024/NotesSeptember23.pdf">Whiteboard notes</a></p></li>
 <li><p>Readings and Videos:</p>
 <ul>
 <li><p>These lecture notes</p></li>
@@ -1354,12 +1342,9 @@ doconce format html week39.do.txt --no_mako -->
 <li><p>Exercise for week 39 on how to write the abstract and the introduction of the report and how to include references.</p></li>
 <li><p>Work on project 1, in particular resampling methods like cross-validation and bootstrap. <strong>For more discussions of project 1, chapter 5 of Goodfellow et al is a good read, in particular sections 5.1-5.5 and 5.7-5.11</strong>.</p></li>
 <li><p><a class="reference external" href="https://youtu.be/tVW1ZDmZnwM">Video on how to write scientific reports recorded during one of the lab sessions</a></p></li>
-</ul>
-<p>These sections summarize neatly what we have done till now and point to what is coming with respect to deep learning.</p>
-<ul class="simple">
 <li><p>A general guideline can be found at <a class="reference external" href="https://github.com/CompPhysics/MachineLearning/blob/master/doc/Projects/EvaluationGrading/EvaluationForm.md">https://github.com/CompPhysics/MachineLearning/blob/master/doc/Projects/EvaluationGrading/EvaluationForm.md</a>.</p></li>
 </ul>
-<!-- rett opp tyrleif --></div>
+</div>
 <div class="section" id="lecture-monday-september-23-optimization-the-central-part-of-any-machine-learning-algortithm">
 <h2>Lecture Monday September 23, Optimization, the central part of any Machine Learning algortithm<a class="headerlink" href="#lecture-monday-september-23-optimization-the-central-part-of-any-machine-learning-algortithm" title="Permalink to this headline">¶</a></h2>
 <p>The first few slides here are a repetition from last week.</p>
@@ -1797,7 +1782,7 @@ which equals</p>
 </div>
 </div>
 <div class="cell_output docutils container">
-<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;mpl_toolkits.mplot3d.art3d.Poly3DCollection at 0x120cc1b20&gt;
+<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;mpl_toolkits.mplot3d.art3d.Poly3DCollection at 0x11f13fb20&gt;
 </pre></div>
 </div>
 <img alt="_images/week39_82_1.png" src="_images/week39_82_1.png" />
@@ -1855,7 +1840,7 @@ which equals</p>
 </div>
 </div>
 <div class="cell_output docutils container">
-<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[&lt;matplotlib.lines.Line2D at 0x121cf68e0&gt;]
+<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[&lt;matplotlib.lines.Line2D at 0x12e13a850&gt;]
 </pre></div>
 </div>
 <img alt="_images/week39_90_1.png" src="_images/week39_90_1.png" />
@@ -2149,11 +2134,11 @@ when <span class="math notranslate nohighlight">\(||\nabla_\beta C(\beta_k) || \
 </div>
 </div>
 <div class="cell_output docutils container">
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Eigenvalues of Hessian Matrix:[0.28457291 3.97480604]
-[[3.34620097]
- [3.61325173]]
-[[3.34620097]
- [3.61325173]]
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Eigenvalues of Hessian Matrix:[0.24602146 5.15830902]
+[[3.94388948]
+ [3.14880915]]
+[[3.94388948]
+ [3.14880915]]
 </pre></div>
 </div>
 <img alt="_images/week39_153_1.png" src="_images/week39_153_1.png" />
@@ -2184,9 +2169,9 @@ when <span class="math notranslate nohighlight">\(||\nabla_\beta C(\beta_k) || \
 </div>
 </div>
 <div class="cell_output docutils container">
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[[4.08179906]
- [3.05087018]]
-[4.03853268] [3.07469645]
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[[4.1567286 ]
+ [2.83641435]]
+[4.12466453] [2.80907609]
 </pre></div>
 </div>
 </div>
@@ -2286,11 +2271,11 @@ minimum of this function.</p>
 </div>
 </div>
 <div class="cell_output docutils container">
-<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Eigenvalues of Hessian Matrix:[0.32932635 4.53640693]
-[[4.15709522]
- [2.9838929 ]]
-[[4.15605625]
- [2.98473694]]
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Eigenvalues of Hessian Matrix:[0.29902518 4.33006628]
+[[3.73252708]
+ [3.18093549]]
+[[3.73265885]
+ [3.1808228 ]]
 </pre></div>
 </div>
 <img alt="_images/week39_166_1.png" src="_images/week39_166_1.png" />
@@ -3505,32 +3490,6 @@ which also computed the dot product can be used:</p>
 </div>
 </div>
 </div>
-<div class="section" id="recommended-to-avoid">
-<h2>Recommended to avoid<a class="headerlink" href="#recommended-to-avoid" title="Permalink to this headline">¶</a></h2>
-<p>The documentation recommends to avoid inplace operations such as</p>
-<div class="cell docutils container">
-<div class="cell_input docutils container">
-<div class="highlight-ipython3 notranslate"><div class="highlight"><pre><span></span><span class="n">a</span> <span class="o">+=</span> <span class="n">b</span>
-<span class="n">a</span> <span class="o">-=</span> <span class="n">b</span>
-<span class="n">a</span><span class="o">*=</span> <span class="n">b</span>
-<span class="n">a</span> <span class="o">/=</span><span class="n">b</span>
-</pre></div>
-</div>
-</div>
-<div class="cell_output docutils container">
-<div class="output traceback highlight-ipythontb notranslate"><div class="highlight"><pre><span></span><span class="gt">---------------------------------------------------------------------------</span>
-<span class="ne">NameError</span><span class="g g-Whitespace">                                 </span>Traceback (most recent call last)
-<span class="n">Cell</span> <span class="n">In</span><span class="p">[</span><span class="mi">27</span><span class="p">],</span> <span class="n">line</span> <span class="mi">1</span>
-<span class="ne">----&gt; </span><span class="mi">1</span> <span class="n">a</span> <span class="o">+=</span> <span class="n">b</span>
-<span class="g g-Whitespace">      </span><span class="mi">2</span> <span class="n">a</span> <span class="o">-=</span> <span class="n">b</span>
-<span class="g g-Whitespace">      </span><span class="mi">3</span> <span class="n">a</span><span class="o">*=</span> <span class="n">b</span>
-
-<span class="ne">NameError</span>: name &#39;b&#39; is not defined
-</pre></div>
-</div>
-</div>
-</div>
-</div>
 <div class="section" id="using-autograd-with-ols">
 <h2>Using Autograd with OLS<a class="headerlink" href="#using-autograd-with-ols" title="Permalink to this headline">¶</a></h2>
 <p>We conclude the part on optmization by showing how we can make codes
@@ -3590,6 +3549,18 @@ first example shows results with ordinary leats squares.</p>
 </pre></div>
 </div>
 </div>
+<div class="cell_output docutils container">
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Own inversion
+[[3.94499279]
+ [3.03306538]]
+Eigenvalues of Hessian Matrix:[0.31248425 4.44418124]
+theta from own gd
+[[3.94499279]
+ [3.03306538]]
+</pre></div>
+</div>
+<img alt="_images/week39_263_1.png" src="_images/week39_263_1.png" />
+</div>
 </div>
 </div>
 <div class="section" id="id9">
@@ -3652,6 +3623,80 @@ first example shows results with ordinary leats squares.</p>
 </pre></div>
 </div>
 </div>
+<div class="cell_output docutils container">
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Own inversion
+[[4.]
+ [3.]]
+Eigenvalues of Hessian Matrix:[0.30306759 4.65944342]
+0 [-20.62275788] [-25.73690387]
+1 [-0.03662823] [0.02925855]
+2 [-0.0342458] [0.02735547]
+3 [-0.03201832] [0.02557617]
+4 [-0.02993573] [0.0239126]
+5 [-0.0279886] [0.02235723]
+6 [-0.02616812] [0.02090304]
+7 [-0.02446604] [0.01954342]
+8 [-0.02287468] [0.01827225]
+9 [-0.02138683] [0.01708375]
+10 [-0.01999575] [0.01597256]
+11 [-0.01869515] [0.01493365]
+12 [-0.01747915] [0.01396231]
+13 [-0.01634224] [0.01305415]
+14 [-0.01527928] [0.01220505]
+15 [-0.01428546] [0.01141119]
+16 [-0.01335628] [0.01066897]
+17 [-0.01248754] [0.00997502]
+18 [-0.0116753] [0.0093262]
+19 [-0.01091589] [0.00871959]
+20 [-0.01020588] [0.00815244]
+21 [-0.00954206] [0.00762217]
+22 [-0.0089214] [0.0071264]
+23 [-0.00834112] [0.00666287]
+24 [-0.00779859] [0.00622949]
+25 [-0.00729134] [0.0058243]
+26 [-0.00681708] [0.00544547]
+27 [-0.00637367] [0.00509128]
+28 [-0.0059591] [0.00476012]
+29 [-0.0055715] [0.0044505]
+theta from own gd
+[[3.98281205]
+ [3.0137297 ]]
+0 [-0.00520911] [0.00416103]
+1 [-0.00487029] [0.00389038]
+2 [-0.00445186] [0.00355614]
+3 [-0.00403677] [0.00322456]
+4 [-0.00364967] [0.00291535]
+5 [-0.00329616] [0.00263296]
+6 [-0.00297571] [0.00237699]
+7 [-0.00268602] [0.00214559]
+8 [-0.00242441] [0.00193661]
+9 [-0.00218823] [0.00174795]
+10 [-0.00197505] [0.00157766]
+11 [-0.00178263] [0.00142396]
+12 [-0.00160895] [0.00128523]
+13 [-0.0014522] [0.00116001]
+14 [-0.00131072] [0.001047]
+15 [-0.00118302] [0.00094499]
+16 [-0.00106776] [0.00085292]
+17 [-0.00096373] [0.00076983]
+18 [-0.00086984] [0.00069482]
+19 [-0.00078509] [0.00062713]
+20 [-0.0007086] [0.00056603]
+21 [-0.00063957] [0.00051088]
+22 [-0.00057726] [0.00046111]
+23 [-0.00052102] [0.00041619]
+24 [-0.00047025] [0.00037564]
+25 [-0.00042444] [0.00033904]
+26 [-0.00038309] [0.00030601]
+27 [-0.00034576] [0.0002762]
+28 [-0.00031208] [0.00024929]
+29 [-0.00028167] [0.000225]
+theta from own gd wth momentum
+[[3.99916114]
+ [3.00067008]]
+</pre></div>
+</div>
+</div>
 </div>
 </div>
 <div class="section" id="but-none-of-these-can-compete-with-newton-s-method">
@@ -3699,6 +3744,22 @@ first example shows results with ordinary leats squares.</p>
 </pre></div>
 </div>
 </div>
+<div class="cell_output docutils container">
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Own inversion
+[[4.26281735]
+ [2.84478178]]
+Eigenvalues of Hessian Matrix:[0.33978889 4.51659846]
+0 [-14.67490857] [-18.08539155]
+1 [-4.46170878e-15] [-1.45781905e-14]
+2 [-1.21430643e-15] [-1.24768421e-15]
+3 [4.92661467e-16] [4.50610071e-16]
+4 [4.92661467e-16] [4.50610071e-16]
+beta from own Newton code
+[[4.26281735]
+ [2.84478178]]
+</pre></div>
+</div>
+</div>
 </div>
 </div>
 <div class="section" id="including-stochastic-gradient-descent-with-autograd">
@@ -3782,6 +3843,27 @@ first example shows results with ordinary leats squares.</p>
 </pre></div>
 </div>
 </div>
+<div class="cell_output docutils container">
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Own inversion
+[[4.0586484]
+ [3.0718316]]
+Eigenvalues of Hessian Matrix:[0.29860173 3.8931686 ]
+</pre></div>
+</div>
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>theta from own gd
+</pre></div>
+</div>
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[[4.0586484]
+ [3.0718316]]
+</pre></div>
+</div>
+<img alt="_images/week39_269_3.png" src="_images/week39_269_3.png" />
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>theta from own sdg
+[[4.02496085]
+ [3.12081773]]
+</pre></div>
+</div>
+</div>
 </div>
 </div>
 <div class="section" id="id10">
@@ -3858,6 +3940,22 @@ first example shows results with ordinary leats squares.</p>
 </pre></div>
 </div>
 </div>
+<div class="cell_output docutils container">
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Own inversion
+[[3.96075051]
+ [3.02148021]]
+Eigenvalues of Hessian Matrix:[0.27470622 4.24106503]
+theta from own gd
+[[3.95906059]
+ [3.02296298]]
+</pre></div>
+</div>
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>theta from own sdg with momentum
+[[3.95611042]
+ [2.99475306]]
+</pre></div>
+</div>
+</div>
 </div>
 </div>
 <div class="section" id="similar-second-order-function-now-problem-but-now-with-adagrad">
@@ -3915,6 +4013,20 @@ first example shows results with ordinary leats squares.</p>
 </pre></div>
 </div>
 </div>
+<div class="cell_output docutils container">
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Own inversion
+[[2.]
+ [3.]
+ [4.]]
+</pre></div>
+</div>
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>theta from own AdaGrad
+[[2.00025662]
+ [2.99802696]
+ [4.00167329]]
+</pre></div>
+</div>
+</div>
 </div>
 <p>Running this code we note an almost perfect agreement with the results from matrix inversion.</p>
 </div>
@@ -3979,6 +4091,20 @@ first example shows results with ordinary leats squares.</p>
 </pre></div>
 </div>
 </div>
+<div class="cell_output docutils container">
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Own inversion
+[[2.]
+ [3.]
+ [4.]]
+</pre></div>
+</div>
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>theta from own RMSprop
+[[1.99456598]
+ [2.99848815]
+ [3.99835783]]
+</pre></div>
+</div>
+</div>
 </div>
 </div>
 <div class="section" id="and-finally-adam">
@@ -4047,6 +4173,20 @@ first example shows results with ordinary leats squares.</p>
 </pre></div>
 </div>
 </div>
+<div class="cell_output docutils container">
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Own inversion
+[[2.]
+ [3.]
+ [4.]]
+</pre></div>
+</div>
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>theta from own ADAM
+[[1.99989103]
+ [3.00042093]
+ [3.99954925]]
+</pre></div>
+</div>
+</div>
 </div>
 </div>
 <div class="section" id="and-logistic-regression">
@@ -4089,6 +4229,12 @@ first example shows results with ordinary leats squares.</p>
 </pre></div>
 </div>
 </div>
+<div class="cell_output docutils container">
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Initial loss: 2.772588722239781
+Trained loss: 1.067270675787016
+</pre></div>
+</div>
+</div>
 </div>
 </div>
 <div class="section" id="introducing-jax">
@@ -4112,6 +4258,11 @@ It provides composable transformations of Python+NumPy programs: differentiate,
 </pre></div>
 </div>
 </div>
+<div class="cell_output docutils container">
+<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[0.25       0.19661197 0.10499357]
+</pre></div>
+</div>
+</div>
 </div>
 </div>
 </div>
diff --git a/doc/LectureNotes/_build/jupyter_execute/week39.ipynb b/doc/LectureNotes/_build/jupyter_execute/week39.ipynb
index 2933c6089..248b7b106 100644
--- a/doc/LectureNotes/_build/jupyter_execute/week39.ipynb
+++ b/doc/LectureNotes/_build/jupyter_execute/week39.ipynb
@@ -2,8 +2,10 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "0be56d20",
-   "metadata": {},
+   "id": "014c8f7e",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "<!-- HTML file automatically generated from DocOnce source (https://github.com/doconce/doconce/)\n",
     "doconce format html week39.do.txt --no_mako -->\n",
@@ -12,8 +14,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "41352012",
-   "metadata": {},
+   "id": "0bb320b9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "# Week 39: Optimization and  Gradient Methods\n",
     "**Morten Hjorth-Jensen**, Department of Physics, University of Oslo and Department of Physics and Astronomy and Facility for Rare Isotope Beams, Michigan State University\n",
@@ -23,16 +27,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "471d9b17",
-   "metadata": {},
+   "id": "39af5319",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Plan for week 39, September 23-27, 2024"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "a3f843e5",
-   "metadata": {},
+   "id": "57ff9961",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Lecture Monday September 23\n",
     "\n",
@@ -41,8 +49,10 @@
     "  * Repetition of Logistic regression equations and classification problems and discussion of Gradient methods. Examples on how to implement Logistic Regression and discussion of gradient methods\n",
     "\n",
     "  * Stochastic Gradient descent with examples and automatic differentiation (theme also for next week).\n",
-    "<!-- * [Video of lecture](https://youtu.be/bFRVuIJroHs) -->\n",
-    "<!-- * Whiteboard notes TBA at <https://github.com/CompPhysics/MachineLearning/blob/master/doc/HandWrittenNotes/2023/NotesSep28.pdf> -->\n",
+    "\n",
+    "  * [Video of lecture](https://youtu.be/ISGpTC28Vmk)\n",
+    "\n",
+    "  * [Whiteboard notes](https://github.com/CompPhysics/MachineLearning/blob/master/doc/HandWrittenNotes/2024/NotesSeptember23.pdf)\n",
     "\n",
     "  * Readings and Videos:\n",
     "\n",
@@ -59,8 +69,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b611ff2d",
-   "metadata": {},
+   "id": "4cef25d3",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Lab sessions week 39\n",
     "\n",
@@ -74,18 +86,15 @@
     "\n",
     "  * [Video on how to write scientific reports recorded during one of the lab sessions](https://youtu.be/tVW1ZDmZnwM)\n",
     "\n",
-    "These sections summarize neatly what we have done till now and point to what is coming with respect to deep learning. \n",
-    "  * A general guideline can be found at <https://github.com/CompPhysics/MachineLearning/blob/master/doc/Projects/EvaluationGrading/EvaluationForm.md>.\n",
-    "\n",
-    "  \n",
-    "\n",
-    "<!-- rett opp tyrleif -->"
+    "  * A general guideline can be found at <https://github.com/CompPhysics/MachineLearning/blob/master/doc/Projects/EvaluationGrading/EvaluationForm.md>."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "126f7d60",
-   "metadata": {},
+   "id": "bdae6350",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Lecture Monday September 23, Optimization, the central part of any Machine Learning algortithm\n",
     "\n",
@@ -103,8 +112,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a2682f11",
-   "metadata": {},
+   "id": "8fede05c",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Revisiting our Logistic Regression case\n",
     "\n",
@@ -118,8 +129,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d51c88b5",
-   "metadata": {},
+   "id": "b8a00c23",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\begin{align*}\n",
@@ -131,16 +144,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4a135362",
-   "metadata": {},
+   "id": "5f2ae8d2",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "where $\\boldsymbol{\\beta}$ are the weights we wish to extract from data, in our case $\\beta_0$ and $\\beta_1$."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "26444396",
-   "metadata": {},
+   "id": "43aafb89",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## The equations to solve\n",
     "\n",
@@ -153,8 +170,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9bc5702f",
-   "metadata": {},
+   "id": "a1a11c10",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\frac{\\partial \\mathcal{C}(\\boldsymbol{\\beta})}{\\partial \\boldsymbol{\\beta}} = -\\boldsymbol{X}^T\\left(\\boldsymbol{y}-\\boldsymbol{p}\\right).\n",
@@ -163,8 +182,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a857de8b",
-   "metadata": {},
+   "id": "28e31aff",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "If we in addition define a diagonal matrix $\\boldsymbol{W}$ with elements \n",
     "$p(y_i\\vert x_i,\\boldsymbol{\\beta})(1-p(y_i\\vert x_i,\\boldsymbol{\\beta})$, we can obtain a compact expression of the second derivative as"
@@ -172,8 +193,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dc870dc3",
-   "metadata": {},
+   "id": "3c985328",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\frac{\\partial^2 \\mathcal{C}(\\boldsymbol{\\beta})}{\\partial \\boldsymbol{\\beta}\\partial \\boldsymbol{\\beta}^T} = \\boldsymbol{X}^T\\boldsymbol{W}\\boldsymbol{X}.\n",
@@ -182,16 +205,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4001c458",
-   "metadata": {},
+   "id": "555aa6ae",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "This defines what is called  the Hessian matrix."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "4f3262b4",
-   "metadata": {},
+   "id": "1a1c2b60",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Solving using Newton-Raphson's method\n",
     "\n",
@@ -202,8 +229,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0d94cee2",
-   "metadata": {},
+   "id": "e0247958",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{\\beta}^{\\mathrm{new}} = \\boldsymbol{\\beta}^{\\mathrm{old}}-\\left(\\frac{\\partial^2 \\mathcal{C}(\\boldsymbol{\\beta})}{\\partial \\boldsymbol{\\beta}\\partial \\boldsymbol{\\beta}^T}\\right)^{-1}_{\\boldsymbol{\\beta}^{\\mathrm{old}}}\\times \\left(\\frac{\\partial \\mathcal{C}(\\boldsymbol{\\beta})}{\\partial \\boldsymbol{\\beta}}\\right)_{\\boldsymbol{\\beta}^{\\mathrm{old}}},\n",
@@ -212,16 +241,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d92e7b5d",
-   "metadata": {},
+   "id": "f5ba3a72",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "or in matrix form as"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "076acdca",
-   "metadata": {},
+   "id": "f8a47d6d",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{\\beta}^{\\mathrm{new}} = \\boldsymbol{\\beta}^{\\mathrm{old}}-\\left(\\boldsymbol{X}^T\\boldsymbol{W}\\boldsymbol{X} \\right)^{-1}\\times \\left(-\\boldsymbol{X}^T(\\boldsymbol{y}-\\boldsymbol{p}) \\right)_{\\boldsymbol{\\beta}^{\\mathrm{old}}}.\n",
@@ -230,8 +263,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c37ab3fd",
-   "metadata": {},
+   "id": "506e1a50",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "The right-hand side is computed with the old values of $\\beta$. \n",
     "\n",
@@ -240,8 +275,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4f771526",
-   "metadata": {},
+   "id": "3ad1aa1c",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Brief reminder on Newton-Raphson's method\n",
     "\n",
@@ -258,8 +295,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e13dad72",
-   "metadata": {},
+   "id": "d3d8671f",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## The equations\n",
     "\n",
@@ -272,8 +311,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aff57d4b",
-   "metadata": {},
+   "id": "a2e68cbb",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "<!-- Equation labels as ordinary links -->\n",
     "<div id=\"eq:taylornr\"></div>\n",
@@ -286,8 +327,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "38304c1d",
-   "metadata": {},
+   "id": "d7fd3b46",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "For small enough values of the function and for well-behaved\n",
     "functions, the terms beyond linear are unimportant, hence we obtain"
@@ -295,8 +338,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8da576a0",
-   "metadata": {},
+   "id": "465903ba",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "f(x)+(s-x)f'(x)\\approx 0,\n",
@@ -305,16 +350,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "46d9c588",
-   "metadata": {},
+   "id": "92a910da",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "yielding"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "3a3ca58b",
-   "metadata": {},
+   "id": "e9ed41e4",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "s\\approx x-\\frac{f(x)}{f'(x)}.\n",
@@ -323,16 +372,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0c9c700f",
-   "metadata": {},
+   "id": "742eaaea",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Having in mind an iterative procedure, it is natural to start iterating with"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "b273b273",
-   "metadata": {},
+   "id": "1eabaea3",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "x_{n+1}=x_n-\\frac{f(x_n)}{f'(x_n)}.\n",
@@ -341,8 +394,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3e0a875b",
-   "metadata": {},
+   "id": "532422db",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Simple geometric interpretation\n",
     "\n",
@@ -361,8 +416,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "727cfd55",
-   "metadata": {},
+   "id": "98a519bb",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Extending to more than one variable\n",
     "\n",
@@ -372,8 +429,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f78349b5",
-   "metadata": {},
+   "id": "8dd900d6",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\begin{array}{cc} f_1(x_1,x_2) &=0\\\\\n",
@@ -383,16 +442,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2ee16c9e",
-   "metadata": {},
+   "id": "eb544f9d",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "which we Taylor expand to obtain"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "f95fdb8b",
-   "metadata": {},
+   "id": "7b83fe06",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\begin{array}{cc} 0=f_1(x_1+h_1,x_2+h_2)=&f_1(x_1,x_2)+h_1\n",
@@ -407,16 +470,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3f039432",
-   "metadata": {},
+   "id": "7e03330a",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Defining the Jacobian matrix ${\\bf \\boldsymbol{J}}$ we have"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "dbd20795",
-   "metadata": {},
+   "id": "8b6bbcc0",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "{\\bf \\boldsymbol{J}}=\\left( \\begin{array}{cc}\n",
@@ -428,16 +495,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "98ba6676",
-   "metadata": {},
+   "id": "942ef368",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "we can rephrase Newton's method as"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "ad52dad5",
-   "metadata": {},
+   "id": "8d383d9e",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\left(\\begin{array}{c} x_1^{n+1} \\\\ x_2^{n+1} \\end{array} \\right)=\n",
@@ -448,16 +519,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cc09e475",
-   "metadata": {},
+   "id": "f3cbe6ed",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "where we have defined"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "7a1c0547",
-   "metadata": {},
+   "id": "c4086d22",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\left(\\begin{array}{c} h_1^{n} \\\\ h_2^{n} \\end{array} \\right)=\n",
@@ -468,8 +543,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9fe4208b",
-   "metadata": {},
+   "id": "e6317de3",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "We need thus to compute the inverse of the Jacobian matrix and it\n",
     "is to understand that difficulties  may\n",
@@ -481,8 +558,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2a81e02b",
-   "metadata": {},
+   "id": "edf2bfe8",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Steepest descent\n",
     "\n",
@@ -496,8 +575,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f90232dd",
-   "metadata": {},
+   "id": "a7fb938f",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\mathbf{x}_{k+1} = \\mathbf{x}_k - \\gamma_k \\nabla F(\\mathbf{x}_k),\n",
@@ -506,8 +587,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4fb8b51e",
-   "metadata": {},
+   "id": "d847b9be",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "with $\\gamma_k > 0$.\n",
     "\n",
@@ -518,8 +601,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "81da0301",
-   "metadata": {},
+   "id": "9b5b4acb",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## More on Steepest descent\n",
     "\n",
@@ -531,8 +616,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9b1a0014",
-   "metadata": {},
+   "id": "ce9525ec",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\mathbf{x}_{k+1} = \\mathbf{x}_k - \\gamma_k \\nabla F(\\mathbf{x}_k), \\ \\ k \\geq 0.\n",
@@ -541,8 +628,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "52e8d174",
-   "metadata": {},
+   "id": "54d2e571",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "The parameter $\\gamma_k$ is often referred to as the step length or\n",
     "the learning rate within the context of Machine Learning."
@@ -550,8 +639,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "be802e47",
-   "metadata": {},
+   "id": "c35ee552",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## The ideal\n",
     "\n",
@@ -576,8 +667,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c2404539",
-   "metadata": {},
+   "id": "2f025ad9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## The sensitiveness of the gradient descent\n",
     "\n",
@@ -596,8 +689,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f96c6cdf",
-   "metadata": {},
+   "id": "80f3bd26",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Convex functions\n",
     "\n",
@@ -616,8 +711,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0deb328b",
-   "metadata": {},
+   "id": "199afe72",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Convex function\n",
     "\n",
@@ -635,8 +732,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "74dc1b02",
-   "metadata": {},
+   "id": "26f4fb05",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Conditions on convex functions\n",
     "\n",
@@ -672,8 +771,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bc8bc23c",
-   "metadata": {},
+   "id": "ef861245",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## More on convex functions\n",
     "\n",
@@ -698,8 +799,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b004d0d8",
-   "metadata": {},
+   "id": "989686b9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Some simple problems\n",
     "\n",
@@ -726,8 +829,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "004c656f",
-   "metadata": {},
+   "id": "8f0a01ed",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Standard steepest descent\n",
     "\n",
@@ -744,8 +849,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3055088e",
-   "metadata": {},
+   "id": "098985af",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{A}\\boldsymbol{x} = \\boldsymbol{b}.\n",
@@ -754,16 +861,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9d268d89",
-   "metadata": {},
+   "id": "ca3b1849",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "In the iterative process we end up with a problem like"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "c8dbe560",
-   "metadata": {},
+   "id": "a9026b79",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{r}= \\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x},\n",
@@ -772,8 +883,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fd2de293",
-   "metadata": {},
+   "id": "dff64482",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "where $\\boldsymbol{r}$ is the so-called residual or error in the iterative process.\n",
     "\n",
@@ -782,8 +895,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "25344346",
-   "metadata": {},
+   "id": "502eba66",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Gradient method\n",
     "\n",
@@ -792,8 +907,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c1b8855c",
-   "metadata": {},
+   "id": "fde7d2c9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "P(\\boldsymbol{x})=\\frac{1}{2}\\boldsymbol{x}^T\\boldsymbol{A}\\boldsymbol{x} - \\boldsymbol{x}^T\\boldsymbol{b},\n",
@@ -802,8 +919,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "506aceb6",
-   "metadata": {},
+   "id": "636a5eb2",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "with the constraint that the matrix $\\boldsymbol{A}$ is positive definite and\n",
     "symmetric.  This defines also the Hessian and we want it to be  positive definite."
@@ -811,8 +930,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "53b26051",
-   "metadata": {},
+   "id": "ce3be231",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Steepest descent  method\n",
     "\n",
@@ -822,8 +943,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "06b0db34",
-   "metadata": {},
+   "id": "f87ac8d2",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{x}_0=0,\n",
@@ -832,16 +955,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0d9ddd86",
-   "metadata": {},
+   "id": "7961c3fc",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "or consider the system"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "66dff86c",
-   "metadata": {},
+   "id": "9ae1698c",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{A}\\boldsymbol{z} = \\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x}_0,\n",
@@ -850,16 +977,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "77c18c22",
-   "metadata": {},
+   "id": "b5e2f728",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "instead."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "9dfad29a",
-   "metadata": {},
+   "id": "f3d7aa36",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Steepest descent  method\n",
     "One can show that the solution $\\boldsymbol{x}$ is also the unique minimizer of the quadratic form"
@@ -867,8 +998,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "50edf2f9",
-   "metadata": {},
+   "id": "2acb11da",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "f(\\boldsymbol{x}) = \\frac{1}{2}\\boldsymbol{x}^T\\boldsymbol{A}\\boldsymbol{x} - \\boldsymbol{x}^T \\boldsymbol{x} , \\quad \\boldsymbol{x}\\in\\mathbf{R}^n.\n",
@@ -877,8 +1010,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "51d84a77",
-   "metadata": {},
+   "id": "ee51e96c",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "This suggests taking the first basis vector $\\boldsymbol{r}_1$ (see below for definition) \n",
     "to be the gradient of $f$ at $\\boldsymbol{x}=\\boldsymbol{x}_0$, \n",
@@ -887,8 +1022,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f3179c0a",
-   "metadata": {},
+   "id": "921a7d11",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{A}\\boldsymbol{x}_0-\\boldsymbol{b},\n",
@@ -897,8 +1034,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "66bc0e76",
-   "metadata": {},
+   "id": "30f50187",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "and \n",
     "$\\boldsymbol{x}_0=0$ it is equal $-\\boldsymbol{b}$."
@@ -906,8 +1045,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9be63d8b",
-   "metadata": {},
+   "id": "268a19dd",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Final expressions\n",
     "We can compute the residual iteratively as"
@@ -915,8 +1056,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "07294b6e",
-   "metadata": {},
+   "id": "bc9ef63b",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{r}_{k+1}=\\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x}_{k+1},\n",
@@ -925,16 +1068,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5cb13e3a",
-   "metadata": {},
+   "id": "4b2a66e9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "which equals"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "b95b4415",
-   "metadata": {},
+   "id": "cc10185f",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{b}-\\boldsymbol{A}(\\boldsymbol{x}_k+\\alpha_k\\boldsymbol{r}_k),\n",
@@ -943,16 +1090,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "90956a95",
-   "metadata": {},
+   "id": "bfea4d71",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "or"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "d4675379",
-   "metadata": {},
+   "id": "0db69549",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "(\\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x}_k)-\\alpha_k\\boldsymbol{A}\\boldsymbol{r}_k,\n",
@@ -961,16 +1112,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6e3a1c20",
-   "metadata": {},
+   "id": "e950ac57",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "which gives"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "e9b86a0a",
-   "metadata": {},
+   "id": "0d0be156",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\alpha_k = \\frac{\\boldsymbol{r}_k^T\\boldsymbol{r}_k}{\\boldsymbol{r}_k^T\\boldsymbol{A}\\boldsymbol{r}_k}\n",
@@ -979,16 +1134,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a1fd88cc",
-   "metadata": {},
+   "id": "5a44b7f9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "leading to the iterative scheme"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "39f090b1",
-   "metadata": {},
+   "id": "7fcb3188",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{x}_{k+1}=\\boldsymbol{x}_k+\\alpha_k\\boldsymbol{r}_{k},\n",
@@ -997,8 +1156,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0ad69506",
-   "metadata": {},
+   "id": "59681f93",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Steepest descent example"
    ]
@@ -1006,13 +1167,16 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "4a529fa4",
-   "metadata": {},
+   "id": "b27b7d36",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "<mpl_toolkits.mplot3d.art3d.Poly3DCollection at 0x120cc1b20>"
+       "<mpl_toolkits.mplot3d.art3d.Poly3DCollection at 0x11f13fb20>"
       ]
      },
      "execution_count": 1,
@@ -1061,8 +1225,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "949a0d1c",
-   "metadata": {},
+   "id": "3cec05a7",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "And then as countor plot"
    ]
@@ -1070,8 +1236,11 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "3b0698ff",
-   "metadata": {},
+   "id": "3f348ef8",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [
     {
      "data": {
@@ -1096,8 +1265,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b3d4208f",
-   "metadata": {},
+   "id": "b4e35f32",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Find guesses"
    ]
@@ -1105,8 +1276,11 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "d7e4a182",
-   "metadata": {},
+   "id": "41aa6226",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "x = guesses[-1]\n",
@@ -1115,8 +1289,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fbc59d26",
-   "metadata": {},
+   "id": "03977607",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Run it!"
    ]
@@ -1124,8 +1300,11 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "18be8fa1",
-   "metadata": {},
+   "id": "318314e2",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [
     {
      "name": "stdout",
@@ -1147,8 +1326,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7f40f5f6",
-   "metadata": {},
+   "id": "a0261d67",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "What happened?"
    ]
@@ -1156,13 +1337,16 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "dbdb7d4e",
-   "metadata": {},
+   "id": "43d274e3",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [
     {
      "data": {
       "text/plain": [
-       "[<matplotlib.lines.Line2D at 0x121cf68e0>]"
+       "[<matplotlib.lines.Line2D at 0x12e13a850>]"
       ]
      },
      "execution_count": 5,
@@ -1193,16 +1377,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "851db164",
-   "metadata": {},
+   "id": "a38a2dab",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Note that we did only one iteration here. We can easily add more using our previous guesses."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "f1300342",
-   "metadata": {},
+   "id": "54215dfb",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Conjugate gradient method\n",
     "In the CG method we define so-called conjugate directions and two vectors \n",
@@ -1213,8 +1401,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "15530c95",
-   "metadata": {},
+   "id": "b78458c4",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{s}^T\\boldsymbol{A}\\boldsymbol{t}= 0.\n",
@@ -1223,8 +1413,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "35222dc4",
-   "metadata": {},
+   "id": "e4ff83c9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "The philosophy of the CG method is to perform searches in various conjugate directions\n",
     "of our vectors $\\boldsymbol{x}_i$ obeying the above criterion, namely"
@@ -1232,8 +1424,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a5ab4e81",
-   "metadata": {},
+   "id": "8f583f25",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{x}_i^T\\boldsymbol{A}\\boldsymbol{x}_j= 0.\n",
@@ -1242,8 +1436,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "922a54c4",
-   "metadata": {},
+   "id": "cef5af3c",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Two vectors are conjugate if they are orthogonal with respect to \n",
     "this inner product. Being conjugate is a symmetric relation: if $\\boldsymbol{s}$ is conjugate to $\\boldsymbol{t}$, then $\\boldsymbol{t}$ is conjugate to $\\boldsymbol{s}$."
@@ -1251,8 +1447,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "606d1a71",
-   "metadata": {},
+   "id": "121f7cf6",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Conjugate gradient method\n",
     "An example is given by the eigenvectors of the matrix"
@@ -1260,8 +1458,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e46ac6fc",
-   "metadata": {},
+   "id": "bd6f31c1",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{v}_i^T\\boldsymbol{A}\\boldsymbol{v}_j= \\lambda\\boldsymbol{v}_i^T\\boldsymbol{v}_j,\n",
@@ -1270,16 +1470,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aec2962a",
-   "metadata": {},
+   "id": "49e134c5",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "which is zero unless $i=j$."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "f62eeb16",
-   "metadata": {},
+   "id": "246cde51",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Conjugate gradient method\n",
     "Assume now that we have a symmetric positive-definite matrix $\\boldsymbol{A}$ of size\n",
@@ -1288,8 +1492,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bde9cf46",
-   "metadata": {},
+   "id": "8f37039b",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{x}_{i+1}=\\boldsymbol{x}_{i}+\\alpha_i\\boldsymbol{p}_{i}.\n",
@@ -1298,8 +1504,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1b354afe",
-   "metadata": {},
+   "id": "87526237",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "We assume that $\\boldsymbol{p}_{i}$ is a sequence of $n$ mutually conjugate directions. \n",
     "Then the $\\boldsymbol{p}_{i}$  form a basis of $R^n$ and we can expand the solution \n",
@@ -1308,8 +1516,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a3e7fc78",
-   "metadata": {},
+   "id": "3e9efa18",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{x}  = \\sum^{n}_{i=1} \\alpha_i \\boldsymbol{p}_i.\n",
@@ -1318,8 +1528,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9608b5e1",
-   "metadata": {},
+   "id": "93a7fb4b",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Conjugate gradient method\n",
     "The coefficients are given by"
@@ -1327,8 +1539,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d667abb4",
-   "metadata": {},
+   "id": "8a737bc7",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\mathbf{A}\\mathbf{x} = \\sum^{n}_{i=1} \\alpha_i \\mathbf{A} \\mathbf{p}_i = \\mathbf{b}.\n",
@@ -1337,16 +1551,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2b909963",
-   "metadata": {},
+   "id": "383e3298",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Multiplying with $\\boldsymbol{p}_k^T$  from the left gives"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "0e9960df",
-   "metadata": {},
+   "id": "c25b2dfa",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{p}_k^T \\boldsymbol{A}\\boldsymbol{x} = \\sum^{n}_{i=1} \\alpha_i\\boldsymbol{p}_k^T \\boldsymbol{A}\\boldsymbol{p}_i= \\boldsymbol{p}_k^T \\boldsymbol{b},\n",
@@ -1355,16 +1573,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4d334201",
-   "metadata": {},
+   "id": "4b3f5db3",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "and we can define the coefficients $\\alpha_k$ as"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "f06c6496",
-   "metadata": {},
+   "id": "ebd88b2e",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\alpha_k = \\frac{\\boldsymbol{p}_k^T \\boldsymbol{b}}{\\boldsymbol{p}_k^T \\boldsymbol{A} \\boldsymbol{p}_k}\n",
@@ -1373,8 +1595,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "69adaefe",
-   "metadata": {},
+   "id": "baa81bcb",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Conjugate gradient method and iterations\n",
     "\n",
@@ -1391,8 +1615,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "35cf8e92",
-   "metadata": {},
+   "id": "46e17082",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{x}_0=0,\n",
@@ -1401,16 +1627,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "686fe37b",
-   "metadata": {},
+   "id": "ed1e6366",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "or consider the system"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "b6cdf1da",
-   "metadata": {},
+   "id": "44dfe77f",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{A}\\boldsymbol{z} = \\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x}_0,\n",
@@ -1419,16 +1649,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f03df570",
-   "metadata": {},
+   "id": "51b93467",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "instead."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "d2619eaa",
-   "metadata": {},
+   "id": "659810a9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Conjugate gradient method\n",
     "One can show that the solution $\\boldsymbol{x}$ is also the unique minimizer of the quadratic form"
@@ -1436,8 +1670,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7c99b348",
-   "metadata": {},
+   "id": "62890f2c",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "f(\\boldsymbol{x}) = \\frac{1}{2}\\boldsymbol{x}^T\\boldsymbol{A}\\boldsymbol{x} - \\boldsymbol{x}^T \\boldsymbol{x} , \\quad \\boldsymbol{x}\\in\\mathbf{R}^n.\n",
@@ -1446,8 +1682,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "06107635",
-   "metadata": {},
+   "id": "c0fe14af",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "This suggests taking the first basis vector $\\boldsymbol{p}_1$ \n",
     "to be the gradient of $f$ at $\\boldsymbol{x}=\\boldsymbol{x}_0$, \n",
@@ -1456,8 +1694,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7d57e70c",
-   "metadata": {},
+   "id": "1e52026b",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{A}\\boldsymbol{x}_0-\\boldsymbol{b},\n",
@@ -1466,8 +1706,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d07728a4",
-   "metadata": {},
+   "id": "bcf59df7",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "and \n",
     "$\\boldsymbol{x}_0=0$ it is equal $-\\boldsymbol{b}$.\n",
@@ -1477,8 +1719,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "64a6011d",
-   "metadata": {},
+   "id": "292e8dc5",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Conjugate gradient method\n",
     "Let  $\\boldsymbol{r}_k$ be the residual at the $k$-th step:"
@@ -1486,8 +1730,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "395293fb",
-   "metadata": {},
+   "id": "093ad28a",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{r}_k=\\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x}_k.\n",
@@ -1496,8 +1742,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2742cfb7",
-   "metadata": {},
+   "id": "9ee5dacc",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Note that $\\boldsymbol{r}_k$ is the negative gradient of $f$ at \n",
     "$\\boldsymbol{x}=\\boldsymbol{x}_k$, \n",
@@ -1510,8 +1758,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6bca98e3",
-   "metadata": {},
+   "id": "68f99505",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{p}_{k+1}=\\boldsymbol{r}_k-\\frac{\\boldsymbol{p}_k^T \\boldsymbol{A}\\boldsymbol{r}_k}{\\boldsymbol{p}_k^T\\boldsymbol{A}\\boldsymbol{p}_k} \\boldsymbol{p}_k.\n",
@@ -1520,8 +1770,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0b38ac3f",
-   "metadata": {},
+   "id": "bcac1586",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Conjugate gradient method\n",
     "We can also  compute the residual iteratively as"
@@ -1529,8 +1781,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0588ed16",
-   "metadata": {},
+   "id": "ce27b155",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{r}_{k+1}=\\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x}_{k+1},\n",
@@ -1539,16 +1793,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2f7bd339",
-   "metadata": {},
+   "id": "524bcfdb",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "which equals"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "5d46e7c8",
-   "metadata": {},
+   "id": "1386c597",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{b}-\\boldsymbol{A}(\\boldsymbol{x}_k+\\alpha_k\\boldsymbol{p}_k),\n",
@@ -1557,16 +1815,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a6dfda96",
-   "metadata": {},
+   "id": "6f813648",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "or"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "bea30687",
-   "metadata": {},
+   "id": "4c3248f2",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "(\\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x}_k)-\\alpha_k\\boldsymbol{A}\\boldsymbol{p}_k,\n",
@@ -1575,16 +1837,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ec002ff0",
-   "metadata": {},
+   "id": "9bc69068",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "which gives"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "a45514a5",
-   "metadata": {},
+   "id": "14e706f1",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{r}_{k+1}=\\boldsymbol{r}_k-\\boldsymbol{A}\\boldsymbol{p}_{k},\n",
@@ -1593,8 +1859,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "60756713",
-   "metadata": {},
+   "id": "8ff319c8",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Revisiting our first homework\n",
     "\n",
@@ -1615,8 +1883,11 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "9e6108fd",
-   "metadata": {},
+   "id": "7e7faa97",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "m = 100\n",
@@ -1626,8 +1897,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "146e4fe9",
-   "metadata": {},
+   "id": "7885df38",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "with $x_i \\in [0,1] $ is chosen randomly using a uniform distribution. Additionally we have a stochastic noise chosen according to a normal distribution $\\cal {N}(0,1)$. \n",
     "The linear regression model is given by"
@@ -1635,8 +1908,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c5c0a7f1",
-   "metadata": {},
+   "id": "20151eb1",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "h_\\beta(x) = \\boldsymbol{y} = \\beta_0 + \\beta_1 x,\n",
@@ -1645,16 +1920,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f5f1aea6",
-   "metadata": {},
+   "id": "87c3b2cd",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "such that"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "76b1993f",
-   "metadata": {},
+   "id": "493e2541",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{y}_i = \\beta_0 + \\beta_1 x_i.\n",
@@ -1663,8 +1942,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b5a211bb",
-   "metadata": {},
+   "id": "8a082762",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Gradient descent example\n",
     "\n",
@@ -1675,8 +1956,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4b0b1b01",
-   "metadata": {},
+   "id": "5c54bcb6",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "X \\equiv \\begin{bmatrix}\n",
@@ -1689,16 +1972,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c5751686",
-   "metadata": {},
+   "id": "23d09807",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "The cost/loss/risk function is given by ("
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "a2d6f6a6",
-   "metadata": {},
+   "id": "e4d67729",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "C(\\beta) = \\frac{1}{n}||X\\beta-\\mathbf{y}||_{2}^{2} = \\frac{1}{n}\\sum_{i=1}^{100}\\left[ (\\beta_0 + \\beta_1 x_i)^2 - 2 y_i (\\beta_0 + \\beta_1 x_i) + y_i^2\\right]\n",
@@ -1707,16 +1994,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "af74580d",
-   "metadata": {},
+   "id": "2eef4f99",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "and we want to find $\\beta$ such that $C(\\beta)$ is minimized."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "949f8aab",
-   "metadata": {},
+   "id": "56f73ade",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## The derivative of the cost/loss function\n",
     "\n",
@@ -1725,8 +2016,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5e3860a4",
-   "metadata": {},
+   "id": "8deab8b6",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\nabla_{\\beta} C(\\beta) = \\frac{2}{n}\\begin{bmatrix} \\sum_{i=1}^{100} \\left(\\beta_0+\\beta_1x_i-y_i\\right) \\\\\n",
@@ -1737,16 +2030,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "765febad",
-   "metadata": {},
+   "id": "fd240c75",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "where $X$ is the design matrix defined above."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "65781e41",
-   "metadata": {},
+   "id": "fdf6f2dd",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## The Hessian matrix\n",
     "The Hessian matrix of $C(\\beta)$ is given by"
@@ -1754,8 +2051,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7e1e9714",
-   "metadata": {},
+   "id": "f930ee8a",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{H} \\equiv \\begin{bmatrix}\n",
@@ -1767,16 +2066,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9d48eebb",
-   "metadata": {},
+   "id": "898e06cb",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "This result implies that $C(\\beta)$ is a convex function since the matrix $X^T X$ always is positive semi-definite."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "fd88e7fd",
-   "metadata": {},
+   "id": "81725bf9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Simple program\n",
     "\n",
@@ -1785,8 +2088,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e12fb5d1",
-   "metadata": {},
+   "id": "4ef5633f",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\beta_{k+1} = \\beta_k - \\gamma \\nabla_\\beta C(\\beta_k), \\ k=0,1,\\cdots\n",
@@ -1795,8 +2100,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "eeb13498",
-   "metadata": {},
+   "id": "142ffc92",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "We can use the expression we computed for the gradient and let use a\n",
     "$\\beta_0$ be chosen randomly and let $\\gamma = 0.001$. Stop iterating\n",
@@ -1808,8 +2115,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7ffca923",
-   "metadata": {},
+   "id": "28051170",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Gradient Descent Example\n",
     "\n",
@@ -1819,23 +2128,26 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "9321710e",
-   "metadata": {},
+   "id": "481d02c8",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Eigenvalues of Hessian Matrix:[0.28457291 3.97480604]\n",
-      "[[3.34620097]\n",
-      " [3.61325173]]\n",
-      "[[3.34620097]\n",
-      " [3.61325173]]\n"
+      "Eigenvalues of Hessian Matrix:[0.24602146 5.15830902]\n",
+      "[[3.94388948]\n",
+      " [3.14880915]]\n",
+      "[[3.94388948]\n",
+      " [3.14880915]]\n"
      ]
     },
     {
      "data": {
-      "image/png": "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",
+      "image/png": "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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -1899,8 +2211,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e65d5b5b",
-   "metadata": {},
+   "id": "35b0af87",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## And a corresponding example using **scikit-learn**"
    ]
@@ -1908,16 +2222,19 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "e73c4b82",
-   "metadata": {},
+   "id": "d0822e39",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "[[4.08179906]\n",
-      " [3.05087018]]\n",
-      "[4.03853268] [3.07469645]\n"
+      "[[4.1567286 ]\n",
+      " [2.83641435]]\n",
+      "[4.12466453] [2.80907609]\n"
      ]
     }
    ],
@@ -1942,8 +2259,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0cffa723",
-   "metadata": {},
+   "id": "af7ac4d0",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Gradient descent and Ridge\n",
     "\n",
@@ -1952,8 +2271,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e70974bf",
-   "metadata": {},
+   "id": "9e04fb04",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "C_{\\text{ridge}}(\\beta) = \\frac{1}{n}||X\\beta -\\mathbf{y}||^2 + \\lambda ||\\beta||^2, \\ \\lambda \\geq 0.\n",
@@ -1962,16 +2283,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8e2c0506",
-   "metadata": {},
+   "id": "740b9955",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "In order to minimize $C_{\\text{ridge}}(\\beta)$ using GD we adjust the gradient as follows"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "673104d6",
-   "metadata": {},
+   "id": "c3ffbc6f",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\nabla_\\beta C_{\\text{ridge}}(\\beta)  = \\frac{2}{n}\\begin{bmatrix} \\sum_{i=1}^{100} \\left(\\beta_0+\\beta_1x_i-y_i\\right) \\\\\n",
@@ -1982,16 +2307,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f5d61a03",
-   "metadata": {},
+   "id": "20eb1fff",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "We can easily extend our program to minimize $C_{\\text{ridge}}(\\beta)$ using gradient descent and compare with the analytical solution given by"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "7e9aec7d",
-   "metadata": {},
+   "id": "e995e244",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\beta_{\\text{ridge}} = \\left(X^T X + n\\lambda I_{2 \\times 2} \\right)^{-1} X^T \\mathbf{y}.\n",
@@ -2000,8 +2329,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "54248fbe",
-   "metadata": {},
+   "id": "1c300f84",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## The Hessian matrix for Ridge Regression\n",
     "The Hessian matrix of Ridge Regression for our simple example  is given by"
@@ -2009,8 +2340,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0b57c03b",
-   "metadata": {},
+   "id": "7d165637",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{H} \\equiv \\begin{bmatrix}\n",
@@ -2022,8 +2355,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "562d6a77",
-   "metadata": {},
+   "id": "08f0c5d1",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "This implies that the Hessian matrix  is positive definite, hence the stationary point is a\n",
     "minimum.\n",
@@ -2034,8 +2369,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "018079a6",
-   "metadata": {},
+   "id": "7d06856d",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Program example for gradient descent with Ridge Regression"
    ]
@@ -2043,23 +2380,26 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "12f965e7",
-   "metadata": {},
+   "id": "e439d732",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "Eigenvalues of Hessian Matrix:[0.32932635 4.53640693]\n",
-      "[[4.15709522]\n",
-      " [2.9838929 ]]\n",
-      "[[4.15605625]\n",
-      " [2.98473694]]\n"
+      "Eigenvalues of Hessian Matrix:[0.29902518 4.33006628]\n",
+      "[[3.73252708]\n",
+      " [3.18093549]]\n",
+      "[[3.73265885]\n",
+      " [3.1808228 ]]\n"
      ]
     },
     {
      "data": {
-      "image/png": "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",
+      "image/png": "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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -2127,8 +2467,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "06107436",
-   "metadata": {},
+   "id": "aa6db5fd",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Using gradient descent methods, limitations\n",
     "\n",
@@ -2147,8 +2489,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bd3205c7",
-   "metadata": {},
+   "id": "4cf99d2c",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Improving gradient descent with momentum\n",
     "\n",
@@ -2158,8 +2502,11 @@
   {
    "cell_type": "code",
    "execution_count": 10,
-   "id": "98ec014e",
-   "metadata": {},
+   "id": "3eaa6001",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [
     {
      "name": "stdout",
@@ -2272,8 +2619,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "35d2b3d9",
-   "metadata": {},
+   "id": "a94bcdd8",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Same code but now with momentum gradient descent"
    ]
@@ -2281,8 +2630,11 @@
   {
    "cell_type": "code",
    "execution_count": 11,
-   "id": "ca391f17",
-   "metadata": {},
+   "id": "a83da0e4",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [
     {
      "name": "stdout",
@@ -2403,8 +2755,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "181b30b4",
-   "metadata": {},
+   "id": "3ac55f04",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Overview video on Stochastic Gradient Descent\n",
     "\n",
@@ -2413,8 +2767,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b51d1452",
-   "metadata": {},
+   "id": "2a8579fd",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Batches and mini-batches\n",
     "\n",
@@ -2432,8 +2788,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "85bbbc0c",
-   "metadata": {},
+   "id": "d07dbbb0",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Stochastic Gradient Descent (SGD)\n",
     "\n",
@@ -2462,8 +2820,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "56b2b867",
-   "metadata": {},
+   "id": "f7050d91",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Stochastic Gradient Descent\n",
     "\n",
@@ -2477,8 +2837,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "386e0c45",
-   "metadata": {},
+   "id": "53a1eb81",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "C(\\mathbf{\\beta}) = \\sum_{i=1}^n c_i(\\mathbf{x}_i,\n",
@@ -2488,8 +2850,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0f6d09dd",
-   "metadata": {},
+   "id": "e4d86364",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Computation of gradients\n",
     "\n",
@@ -2499,8 +2863,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "99541bf1",
-   "metadata": {},
+   "id": "0fb47ea3",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\nabla_\\beta C(\\mathbf{\\beta}) = \\sum_i^n \\nabla_\\beta c_i(\\mathbf{x}_i,\n",
@@ -2510,8 +2876,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a24ce1cc",
-   "metadata": {},
+   "id": "61242d66",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Stochasticity/randomness is introduced by only taking the\n",
     "gradient on a subset of the data called minibatches.  If there are $n$\n",
@@ -2522,8 +2890,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d6c2eea5",
-   "metadata": {},
+   "id": "242ed688",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## SGD example\n",
     "As an example, suppose we have $10$ data points $(\\mathbf{x}_1,\\cdots, \\mathbf{x}_{10})$ \n",
@@ -2542,8 +2912,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b2561a99",
-   "metadata": {},
+   "id": "9888d0c0",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\nabla_{\\beta}\n",
@@ -2555,8 +2927,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a0fb8d89",
-   "metadata": {},
+   "id": "00908421",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## The gradient step\n",
     "\n",
@@ -2565,8 +2939,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "71856a7b",
-   "metadata": {},
+   "id": "4dfe9a45",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\beta_{j+1} = \\beta_j - \\gamma_j \\sum_{i \\in B_k}^n \\nabla_\\beta c_i(\\mathbf{x}_i,\n",
@@ -2576,8 +2952,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9859ff14",
-   "metadata": {},
+   "id": "d91957f8",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "where $k$ is picked at random with equal\n",
     "probability from $[1,n/M]$. An iteration over the number of\n",
@@ -2588,8 +2966,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6558ed12",
-   "metadata": {},
+   "id": "2bf38592",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Simple example code"
    ]
@@ -2597,8 +2977,11 @@
   {
    "cell_type": "code",
    "execution_count": 12,
-   "id": "f8cee4e8",
-   "metadata": {},
+   "id": "43232599",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "import numpy as np \n",
@@ -2619,8 +3002,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aac3d48e",
-   "metadata": {},
+   "id": "b6d1acf5",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Taking the gradient only on a subset of the data has two important\n",
     "benefits. First, it introduces randomness which decreases the chance\n",
@@ -2633,8 +3018,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "657c6870",
-   "metadata": {},
+   "id": "a14ce3ad",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## When do we stop?\n",
     "\n",
@@ -2652,8 +3039,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5a8d8a8d",
-   "metadata": {},
+   "id": "5d674391",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Slightly different approach\n",
     "\n",
@@ -2670,8 +3059,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e0c75855",
-   "metadata": {},
+   "id": "b01f74c8",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Time decay rate\n",
     "\n",
@@ -2687,8 +3078,11 @@
   {
    "cell_type": "code",
    "execution_count": 13,
-   "id": "8368a998",
-   "metadata": {},
+   "id": "81c42935",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [
     {
      "name": "stdout",
@@ -2727,8 +3121,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a99e7227",
-   "metadata": {},
+   "id": "5a28593f",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Code with a Number of Minibatches which varies\n",
     "\n",
@@ -2738,8 +3134,11 @@
   {
    "cell_type": "code",
    "execution_count": 14,
-   "id": "b567ba9d",
-   "metadata": {},
+   "id": "94ca81fd",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [
     {
      "name": "stdout",
@@ -2843,8 +3242,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8ea309ee",
-   "metadata": {},
+   "id": "603b60cd",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Replace or not\n",
     "\n",
@@ -2856,8 +3257,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5573b607",
-   "metadata": {},
+   "id": "19b9dcdb",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Momentum based GD\n",
     "\n",
@@ -2869,8 +3272,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5c393430",
-   "metadata": {},
+   "id": "a22a038a",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\mathbf{v}_{t}=\\gamma \\mathbf{v}_{t-1}+\\eta_{t}\\nabla_\\theta E(\\boldsymbol{\\theta}_t) \\nonumber\n",
@@ -2879,8 +3284,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "03d76b90",
-   "metadata": {},
+   "id": "787585ab",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "<!-- Equation labels as ordinary links -->\n",
     "<div id=\"_auto1\"></div>\n",
@@ -2895,8 +3302,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c9de2175",
-   "metadata": {},
+   "id": "96ff0afc",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "where we have introduced a momentum parameter $\\gamma$, with\n",
     "$0\\le\\gamma\\le 1$, and for brevity we dropped the explicit notation to\n",
@@ -2912,8 +3321,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a493002b",
-   "metadata": {},
+   "id": "61791f14",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\Delta \\boldsymbol{\\theta}_{t+1} = \\gamma \\Delta \\boldsymbol{\\theta}_t -\\ \\eta_{t}\\nabla_\\theta E(\\boldsymbol{\\theta}_t),\n",
@@ -2922,16 +3333,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cb1d7212",
-   "metadata": {},
+   "id": "f823f328",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "where we have defined $\\Delta \\boldsymbol{\\theta}_{t}= \\boldsymbol{\\theta}_t-\\boldsymbol{\\theta}_{t-1}$."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "91135b7f",
-   "metadata": {},
+   "id": "c4d9d496",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## More on momentum based approaches\n",
     "\n",
@@ -2944,8 +3359,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "57c90f73",
-   "metadata": {},
+   "id": "391417ce",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "m {d^2 \\mathbf{w} \\over dt^2} + \\mu {d \\mathbf{w} \\over dt }= -\\nabla_w E(\\mathbf{w}).\n",
@@ -2954,16 +3371,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "28fc8c64",
-   "metadata": {},
+   "id": "4f023c4e",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "We can discretize this equation in the usual way to get"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "9ea86afa",
-   "metadata": {},
+   "id": "69270617",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "m { \\mathbf{w}_{t+\\Delta t}-2 \\mathbf{w}_{t} +\\mathbf{w}_{t-\\Delta t} \\over (\\Delta t)^2}+\\mu {\\mathbf{w}_{t+\\Delta t}- \\mathbf{w}_{t} \\over \\Delta t} = -\\nabla_w E(\\mathbf{w}).\n",
@@ -2972,16 +3393,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "259f8bd9",
-   "metadata": {},
+   "id": "2a4e6d30",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Rearranging this equation, we can rewrite this as"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "1b3b21b9",
-   "metadata": {},
+   "id": "359bd99b",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\Delta \\mathbf{w}_{t +\\Delta t}= - { (\\Delta t)^2 \\over m +\\mu \\Delta t} \\nabla_w E(\\mathbf{w})+ {m \\over m +\\mu \\Delta t} \\Delta \\mathbf{w}_t.\n",
@@ -2990,8 +3415,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "931ce41d",
-   "metadata": {},
+   "id": "7ea6f847",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Momentum parameter\n",
     "\n",
@@ -3004,8 +3431,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d1d161a1",
-   "metadata": {},
+   "id": "691c8355",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\gamma= {m \\over m +\\mu \\Delta t }, \\qquad \\eta = {(\\Delta t)^2 \\over m +\\mu \\Delta t}.\n",
@@ -3014,8 +3443,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4f3657ba",
-   "metadata": {},
+   "id": "36be1849",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Thus, as the name suggests, the momentum parameter is proportional to\n",
     "the mass of the particle and effectively provides inertia.\n",
@@ -3045,8 +3476,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "81824da9",
-   "metadata": {},
+   "id": "2b7f8487",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\mathbf{v}_{t}=\\gamma \\mathbf{v}_{t-1}+\\eta_{t}\\nabla_\\theta E(\\boldsymbol{\\theta}_t +\\gamma \\mathbf{v}_{t-1}) \\nonumber\n",
@@ -3055,8 +3488,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6295bc9d",
-   "metadata": {},
+   "id": "d8a09725",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "<!-- Equation labels as ordinary links -->\n",
     "<div id=\"_auto2\"></div>\n",
@@ -3071,16 +3506,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7a094665",
-   "metadata": {},
+   "id": "2d94a01d",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "One of the major advantages of NAG is that it allows for the use of a larger learning rate than GDM for the same choice of $\\gamma$."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "f0c6bb20",
-   "metadata": {},
+   "id": "65d01e36",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Second moment of the gradient\n",
     "\n",
@@ -3108,8 +3547,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ce3b45b6",
-   "metadata": {},
+   "id": "8da72974",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## RMS prop\n",
     "\n",
@@ -3121,8 +3562,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ee7e2069",
-   "metadata": {},
+   "id": "c58d0f20",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "<!-- Equation labels as ordinary links -->\n",
     "<div id=\"_auto3\"></div>\n",
@@ -3137,8 +3580,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ec4f73bb",
-   "metadata": {},
+   "id": "e5dc0738",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\mathbf{s}_t =\\beta \\mathbf{s}_{t-1} +(1-\\beta)\\mathbf{g}_t^2 \\nonumber\n",
@@ -3147,8 +3592,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fa5cb9a2",
-   "metadata": {},
+   "id": "fbd6fdd8",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{\\theta}_{t+1}=\\boldsymbol{\\theta}_t - \\eta_t { \\mathbf{g}_t \\over \\sqrt{\\mathbf{s}_t +\\epsilon}}, \\nonumber\n",
@@ -3157,8 +3604,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "eb93379a",
-   "metadata": {},
+   "id": "626dc040",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "where $\\beta$ controls the averaging time of the second moment and is\n",
     "typically taken to be about $\\beta=0.9$, $\\eta_t$ is a learning rate\n",
@@ -3173,8 +3622,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b46162a4",
-   "metadata": {},
+   "id": "6fcf9b87",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## [ADAM optimizer](https://arxiv.org/abs/1412.6980)\n",
     "\n",
@@ -3200,8 +3651,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d103bc6a",
-   "metadata": {},
+   "id": "88bbaad2",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "<!-- Equation labels as ordinary links -->\n",
     "<div id=\"_auto4\"></div>\n",
@@ -3216,8 +3669,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a0f031f6",
-   "metadata": {},
+   "id": "b4349ab6",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\mathbf{m}_t = \\beta_1 \\mathbf{m}_{t-1} + (1-\\beta_1) \\mathbf{g}_t \\nonumber\n",
@@ -3226,8 +3681,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2b384f75",
-   "metadata": {},
+   "id": "b2215a9e",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\mathbf{s}_t =\\beta_2 \\mathbf{s}_{t-1} +(1-\\beta_2)\\mathbf{g}_t^2 \\nonumber\n",
@@ -3236,8 +3693,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "216435a6",
-   "metadata": {},
+   "id": "4d2452fb",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{\\mathbf{m}}_t={\\mathbf{m}_t \\over 1-\\beta_1^t} \\nonumber\n",
@@ -3246,8 +3705,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8b79e19e",
-   "metadata": {},
+   "id": "2af543bd",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{\\mathbf{s}}_t ={\\mathbf{s}_t \\over1-\\beta_2^t} \\nonumber\n",
@@ -3256,8 +3717,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ba777281",
-   "metadata": {},
+   "id": "67134da9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{\\theta}_{t+1}=\\boldsymbol{\\theta}_t - \\eta_t { \\boldsymbol{\\mathbf{m}}_t \\over \\sqrt{\\boldsymbol{\\mathbf{s}}_t} +\\epsilon}, \\nonumber\n",
@@ -3266,8 +3729,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f34eb136",
-   "metadata": {},
+   "id": "59683156",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "<!-- Equation labels as ordinary links -->\n",
     "<div id=\"_auto5\"></div>\n",
@@ -3281,8 +3746,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "695da6fd",
-   "metadata": {},
+   "id": "56b23d7b",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "where $\\beta_1$ and $\\beta_2$ set the memory lifetime of the first and\n",
     "second moment and are typically taken to be $0.9$ and $0.99$\n",
@@ -3298,8 +3765,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8771f487",
-   "metadata": {},
+   "id": "ef6b130f",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\Delta \\theta_{t+1}= -\\eta_t { \\boldsymbol{m}_t \\over \\sqrt{\\sigma_t^2 +  m_t^2 }+\\epsilon}.\n",
@@ -3308,8 +3777,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6b816830",
-   "metadata": {},
+   "id": "55d1d0ff",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Algorithms and codes for Adagrad, RMSprop and Adam\n",
     "\n",
@@ -3320,8 +3791,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4efb5cb8",
-   "metadata": {},
+   "id": "5b0fb743",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Practical tips\n",
     "\n",
@@ -3338,8 +3811,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "de7affbf",
-   "metadata": {},
+   "id": "ea05bbe2",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Automatic differentiation\n",
     "\n",
@@ -3374,8 +3849,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3383da7c",
-   "metadata": {},
+   "id": "b4cf1ace",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "f(x) = \\sin\\left(2\\pi x + x^2\\right)\n",
@@ -3384,16 +3861,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a8a03664",
-   "metadata": {},
+   "id": "862002bf",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "which has the following derivative"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "da4e8c9e",
-   "metadata": {},
+   "id": "be897152",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "f'(x) = \\cos\\left(2\\pi x + x^2\\right)\\left(2\\pi + 2x\\right)\n",
@@ -3402,8 +3883,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b35c008d",
-   "metadata": {},
+   "id": "13e4ae3a",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Using **autograd** we have"
    ]
@@ -3411,8 +3894,11 @@
   {
    "cell_type": "code",
    "execution_count": 15,
-   "id": "9bb36858",
-   "metadata": {},
+   "id": "d4a79e0d",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [
     {
      "data": {
@@ -3475,8 +3961,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9f8c7b5e",
-   "metadata": {},
+   "id": "4d3694c5",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Using autograd\n",
     "\n",
@@ -3490,8 +3978,11 @@
   {
    "cell_type": "code",
    "execution_count": 16,
-   "id": "65176228",
-   "metadata": {},
+   "id": "a9719490",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [
     {
      "name": "stdout",
@@ -3524,8 +4015,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "44375951",
-   "metadata": {},
+   "id": "b2259ecd",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Autograd with more complicated functions\n",
     "\n",
@@ -3537,8 +4030,11 @@
   {
    "cell_type": "code",
    "execution_count": 17,
-   "id": "63ebdbaf",
-   "metadata": {},
+   "id": "5b154fa9",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [
     {
      "name": "stdout",
@@ -3592,16 +4088,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ddef1f9a",
-   "metadata": {},
+   "id": "733bbca1",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Note that the grad function will not produce the true gradient of the function. The true gradient of a function with two or more variables will produce a vector, where each element is the function differentiated w.r.t a variable."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "c6ff810b",
-   "metadata": {},
+   "id": "d817341e",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## More complicated functions using the elements of their arguments directly"
    ]
@@ -3609,8 +4109,11 @@
   {
    "cell_type": "code",
    "execution_count": 18,
-   "id": "8c1ef66a",
-   "metadata": {},
+   "id": "1289ab58",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [
     {
      "name": "stdout",
@@ -3643,8 +4146,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7ac0e490",
-   "metadata": {},
+   "id": "7d4fed1d",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Note that in this case, when sending an array as input argument, the\n",
     "output from Autograd is another array. This is the true gradient of\n",
@@ -3656,8 +4161,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f817a4b1",
-   "metadata": {},
+   "id": "5ad8360a",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Functions using mathematical functions from Numpy"
    ]
@@ -3665,8 +4172,11 @@
   {
    "cell_type": "code",
    "execution_count": 19,
-   "id": "9950eceb",
-   "metadata": {},
+   "id": "0cf2c306",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [
     {
      "name": "stdout",
@@ -3699,8 +4209,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2d3597e1",
-   "metadata": {},
+   "id": "70050aa3",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## More autograd"
    ]
@@ -3708,8 +4220,11 @@
   {
    "cell_type": "code",
    "execution_count": 20,
-   "id": "a694b773",
-   "metadata": {},
+   "id": "7eee1b5e",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [
     {
      "name": "stdout",
@@ -3738,8 +4253,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "63681987",
-   "metadata": {},
+   "id": "352a0503",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## And  with loops"
    ]
@@ -3747,8 +4264,11 @@
   {
    "cell_type": "code",
    "execution_count": 21,
-   "id": "ae061106",
-   "metadata": {},
+   "id": "943cc42b",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [
     {
      "name": "stdout",
@@ -3789,8 +4309,11 @@
   {
    "cell_type": "code",
    "execution_count": 22,
-   "id": "a194eddc",
-   "metadata": {},
+   "id": "e8664459",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [
     {
      "name": "stdout",
@@ -3814,8 +4337,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8c21cf38",
-   "metadata": {},
+   "id": "6ddce8f0",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Using recursion"
    ]
@@ -3823,8 +4348,11 @@
   {
    "cell_type": "code",
    "execution_count": 23,
-   "id": "3eb55bad",
-   "metadata": {},
+   "id": "96a3253f",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [
     {
      "name": "stdout",
@@ -3867,16 +4395,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "12fbb13b",
-   "metadata": {},
+   "id": "8b25fa4c",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Note that if n is equal to zero or one, Autograd will give an error message. This message appears when the output is independent on input."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "19ed9d51",
-   "metadata": {},
+   "id": "e225412f",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Unsupported functions\n",
     "Autograd supports many features. However, there are some functions that is not supported (yet) by Autograd.\n",
@@ -3887,8 +4419,11 @@
   {
    "cell_type": "code",
    "execution_count": 24,
-   "id": "fb297a92",
-   "metadata": {},
+   "id": "89af0ad7",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "import autograd.numpy as np\n",
@@ -3906,16 +4441,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "06d0bc95",
-   "metadata": {},
+   "id": "87db5510",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Here, running this code, Autograd tells us that an 'ArrayBox' does not support item assignment. The item assignment is done when the program tries to assign x[2] to the value 3. However, Autograd has implemented the computation of the derivative such that this assignment is not possible."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "9974f300",
-   "metadata": {},
+   "id": "21d8ac43",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## The syntax a.dot(b) when finding the dot product"
    ]
@@ -3923,8 +4462,11 @@
   {
    "cell_type": "code",
    "execution_count": 25,
-   "id": "cbb0a202",
-   "metadata": {},
+   "id": "5411f897",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "import autograd.numpy as np\n",
@@ -3942,8 +4484,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7f08b96c",
-   "metadata": {},
+   "id": "f6b40ee1",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Here we are told that the 'dot' function does not belong to Autograd's\n",
     "version of a Numpy array.  To overcome this, an alternative syntax\n",
@@ -3953,8 +4497,11 @@
   {
    "cell_type": "code",
    "execution_count": 26,
-   "id": "cba444cd",
-   "metadata": {},
+   "id": "9590986c",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [
     {
      "name": "stdout",
@@ -3983,42 +4530,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "18e2b174",
-   "metadata": {},
-   "source": [
-    "## Recommended to avoid\n",
-    "The documentation recommends to avoid inplace operations such as"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 27,
-   "id": "69c6914d",
-   "metadata": {},
-   "outputs": [
-    {
-     "ename": "NameError",
-     "evalue": "name 'b' is not defined",
-     "output_type": "error",
-     "traceback": [
-      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
-      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
-      "Cell \u001b[0;32mIn[27], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m a \u001b[38;5;241m+\u001b[39m\u001b[38;5;241m=\u001b[39m \u001b[43mb\u001b[49m\n\u001b[1;32m      2\u001b[0m a \u001b[38;5;241m-\u001b[39m\u001b[38;5;241m=\u001b[39m b\n\u001b[1;32m      3\u001b[0m a\u001b[38;5;241m*\u001b[39m\u001b[38;5;241m=\u001b[39m b\n",
-      "\u001b[0;31mNameError\u001b[0m: name 'b' is not defined"
-     ]
-    }
-   ],
-   "source": [
-    "a += b\n",
-    "a -= b\n",
-    "a*= b\n",
-    "a /=b"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "600cc052",
-   "metadata": {},
+   "id": "2085a755",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Using Autograd with OLS\n",
     "\n",
@@ -4029,10 +4544,41 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "cd18340b",
-   "metadata": {},
-   "outputs": [],
+   "execution_count": 27,
+   "id": "8108ae0a",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Own inversion\n",
+      "[[3.94499279]\n",
+      " [3.03306538]]\n",
+      "Eigenvalues of Hessian Matrix:[0.31248425 4.44418124]\n",
+      "theta from own gd\n",
+      "[[3.94499279]\n",
+      " [3.03306538]]\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "filenames": {
+       "image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/week39_263_1.png"
+      }
+     },
+     "output_type": "display_data"
+    }
+   ],
    "source": [
     "# Using Autograd to calculate gradients for OLS\n",
     "from random import random, seed\n",
@@ -4087,18 +4633,100 @@
   },
   {
    "cell_type": "markdown",
-   "id": "849de571",
-   "metadata": {},
+   "id": "b11794c2",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Same code but now with momentum gradient descent"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "ac458170",
-   "metadata": {},
-   "outputs": [],
+   "execution_count": 28,
+   "id": "d0d357c7",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Own inversion\n",
+      "[[4.]\n",
+      " [3.]]\n",
+      "Eigenvalues of Hessian Matrix:[0.30306759 4.65944342]\n",
+      "0 [-20.62275788] [-25.73690387]\n",
+      "1 [-0.03662823] [0.02925855]\n",
+      "2 [-0.0342458] [0.02735547]\n",
+      "3 [-0.03201832] [0.02557617]\n",
+      "4 [-0.02993573] [0.0239126]\n",
+      "5 [-0.0279886] [0.02235723]\n",
+      "6 [-0.02616812] [0.02090304]\n",
+      "7 [-0.02446604] [0.01954342]\n",
+      "8 [-0.02287468] [0.01827225]\n",
+      "9 [-0.02138683] [0.01708375]\n",
+      "10 [-0.01999575] [0.01597256]\n",
+      "11 [-0.01869515] [0.01493365]\n",
+      "12 [-0.01747915] [0.01396231]\n",
+      "13 [-0.01634224] [0.01305415]\n",
+      "14 [-0.01527928] [0.01220505]\n",
+      "15 [-0.01428546] [0.01141119]\n",
+      "16 [-0.01335628] [0.01066897]\n",
+      "17 [-0.01248754] [0.00997502]\n",
+      "18 [-0.0116753] [0.0093262]\n",
+      "19 [-0.01091589] [0.00871959]\n",
+      "20 [-0.01020588] [0.00815244]\n",
+      "21 [-0.00954206] [0.00762217]\n",
+      "22 [-0.0089214] [0.0071264]\n",
+      "23 [-0.00834112] [0.00666287]\n",
+      "24 [-0.00779859] [0.00622949]\n",
+      "25 [-0.00729134] [0.0058243]\n",
+      "26 [-0.00681708] [0.00544547]\n",
+      "27 [-0.00637367] [0.00509128]\n",
+      "28 [-0.0059591] [0.00476012]\n",
+      "29 [-0.0055715] [0.0044505]\n",
+      "theta from own gd\n",
+      "[[3.98281205]\n",
+      " [3.0137297 ]]\n",
+      "0 [-0.00520911] [0.00416103]\n",
+      "1 [-0.00487029] [0.00389038]\n",
+      "2 [-0.00445186] [0.00355614]\n",
+      "3 [-0.00403677] [0.00322456]\n",
+      "4 [-0.00364967] [0.00291535]\n",
+      "5 [-0.00329616] [0.00263296]\n",
+      "6 [-0.00297571] [0.00237699]\n",
+      "7 [-0.00268602] [0.00214559]\n",
+      "8 [-0.00242441] [0.00193661]\n",
+      "9 [-0.00218823] [0.00174795]\n",
+      "10 [-0.00197505] [0.00157766]\n",
+      "11 [-0.00178263] [0.00142396]\n",
+      "12 [-0.00160895] [0.00128523]\n",
+      "13 [-0.0014522] [0.00116001]\n",
+      "14 [-0.00131072] [0.001047]\n",
+      "15 [-0.00118302] [0.00094499]\n",
+      "16 [-0.00106776] [0.00085292]\n",
+      "17 [-0.00096373] [0.00076983]\n",
+      "18 [-0.00086984] [0.00069482]\n",
+      "19 [-0.00078509] [0.00062713]\n",
+      "20 [-0.0007086] [0.00056603]\n",
+      "21 [-0.00063957] [0.00051088]\n",
+      "22 [-0.00057726] [0.00046111]\n",
+      "23 [-0.00052102] [0.00041619]\n",
+      "24 [-0.00047025] [0.00037564]\n",
+      "25 [-0.00042444] [0.00033904]\n",
+      "26 [-0.00038309] [0.00030601]\n",
+      "27 [-0.00034576] [0.0002762]\n",
+      "28 [-0.00031208] [0.00024929]\n",
+      "29 [-0.00028167] [0.000225]\n",
+      "theta from own gd wth momentum\n",
+      "[[3.99916114]\n",
+      " [3.00067008]]\n"
+     ]
+    }
+   ],
    "source": [
     "# Using Autograd to calculate gradients for OLS\n",
     "from random import random, seed\n",
@@ -4157,18 +4785,42 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f33ed0dd",
-   "metadata": {},
+   "id": "641a2e50",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## But none of these can compete with Newton's method"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "e6b06cdb",
-   "metadata": {},
-   "outputs": [],
+   "execution_count": 29,
+   "id": "ca6775b3",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Own inversion\n",
+      "[[4.26281735]\n",
+      " [2.84478178]]\n",
+      "Eigenvalues of Hessian Matrix:[0.33978889 4.51659846]\n",
+      "0 [-14.67490857] [-18.08539155]\n",
+      "1 [-4.46170878e-15] [-1.45781905e-14]\n",
+      "2 [-1.21430643e-15] [-1.24768421e-15]\n",
+      "3 [4.92661467e-16] [4.50610071e-16]\n",
+      "4 [4.92661467e-16] [4.50610071e-16]\n",
+      "beta from own Newton code\n",
+      "[[4.26281735]\n",
+      " [2.84478178]]\n"
+     ]
+    }
+   ],
    "source": [
     "# Using Newton's method\n",
     "from random import random, seed\n",
@@ -4212,8 +4864,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "90de8a04",
-   "metadata": {},
+   "id": "75ed4c75",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Including Stochastic Gradient Descent with Autograd\n",
     "In this code we include the stochastic gradient descent approach discussed above. Note here that we specify which argument we are taking the derivative with respect to when using **autograd**."
@@ -4221,10 +4875,63 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "a010a209",
-   "metadata": {},
-   "outputs": [],
+   "execution_count": 30,
+   "id": "5a69be60",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Own inversion\n",
+      "[[4.0586484]\n",
+      " [3.0718316]]\n",
+      "Eigenvalues of Hessian Matrix:[0.29860173 3.8931686 ]\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "theta from own gd"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "\n",
+      "[[4.0586484]\n",
+      " [3.0718316]]\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": "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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {
+      "filenames": {
+       "image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/week39_269_3.png"
+      }
+     },
+     "output_type": "display_data"
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "theta from own sdg\n",
+      "[[4.02496085]\n",
+      " [3.12081773]]\n"
+     ]
+    }
+   ],
    "source": [
     "# Using Autograd to calculate gradients using SGD\n",
     "# OLS example\n",
@@ -4303,18 +5010,46 @@
   },
   {
    "cell_type": "markdown",
-   "id": "18298e5e",
-   "metadata": {},
+   "id": "345a84dc",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Same code but now with momentum gradient descent"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "3320d6c6",
-   "metadata": {},
-   "outputs": [],
+   "execution_count": 31,
+   "id": "656324bd",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Own inversion\n",
+      "[[3.96075051]\n",
+      " [3.02148021]]\n",
+      "Eigenvalues of Hessian Matrix:[0.27470622 4.24106503]\n",
+      "theta from own gd\n",
+      "[[3.95906059]\n",
+      " [3.02296298]]\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "theta from own sdg with momentum\n",
+      "[[3.95611042]\n",
+      " [2.99475306]]\n"
+     ]
+    }
+   ],
    "source": [
     "# Using Autograd to calculate gradients using SGD\n",
     "# OLS example\n",
@@ -4387,18 +5122,44 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f1411612",
-   "metadata": {},
+   "id": "a4f56c77",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Similar (second order function now) problem but now with AdaGrad"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "19414323",
-   "metadata": {},
-   "outputs": [],
+   "execution_count": 32,
+   "id": "69086c69",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Own inversion\n",
+      "[[2.]\n",
+      " [3.]\n",
+      " [4.]]\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "theta from own AdaGrad\n",
+      "[[2.00025662]\n",
+      " [2.99802696]\n",
+      " [4.00167329]]\n"
+     ]
+    }
+   ],
    "source": [
     "# Using Autograd to calculate gradients using AdaGrad and Stochastic Gradient descent\n",
     "# OLS example\n",
@@ -4452,26 +5213,54 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a77cdfa4",
-   "metadata": {},
+   "id": "aaf0ff5c",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Running this code we note an almost perfect agreement with the results from matrix inversion."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "9f488085",
-   "metadata": {},
+   "id": "adc13d31",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## RMSprop for adaptive learning rate with Stochastic Gradient Descent"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "6724b3d2",
-   "metadata": {},
-   "outputs": [],
+   "execution_count": 33,
+   "id": "ca22be17",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Own inversion\n",
+      "[[2.]\n",
+      " [3.]\n",
+      " [4.]]\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "theta from own RMSprop\n",
+      "[[1.99456598]\n",
+      " [2.99848815]\n",
+      " [3.99835783]]\n"
+     ]
+    }
+   ],
    "source": [
     "# Using Autograd to calculate gradients using RMSprop  and Stochastic Gradient descent\n",
     "# OLS example\n",
@@ -4531,18 +5320,44 @@
   },
   {
    "cell_type": "markdown",
-   "id": "09728e4a",
-   "metadata": {},
+   "id": "20bdfaf1",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## And finally [ADAM](https://arxiv.org/pdf/1412.6980.pdf)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "28aa6aad",
-   "metadata": {},
-   "outputs": [],
+   "execution_count": 34,
+   "id": "aebc385b",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Own inversion\n",
+      "[[2.]\n",
+      " [3.]\n",
+      " [4.]]\n"
+     ]
+    },
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "theta from own ADAM\n",
+      "[[1.99989103]\n",
+      " [3.00042093]\n",
+      " [3.99954925]]\n"
+     ]
+    }
+   ],
    "source": [
     "# Using Autograd to calculate gradients using RMSprop  and Stochastic Gradient descent\n",
     "# OLS example\n",
@@ -4607,18 +5422,32 @@
   },
   {
    "cell_type": "markdown",
-   "id": "70fc8bdd",
-   "metadata": {},
+   "id": "59f9e902",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## And Logistic Regression"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "f3dde7c5",
-   "metadata": {},
-   "outputs": [],
+   "execution_count": 35,
+   "id": "0787385b",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Initial loss: 2.772588722239781\n",
+      "Trained loss: 1.067270675787016\n"
+     ]
+    }
+   ],
    "source": [
     "import autograd.numpy as np\n",
     "from autograd import grad\n",
@@ -4657,8 +5486,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b46c449b",
-   "metadata": {},
+   "id": "69ab7a74",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Introducing [JAX](https://jax.readthedocs.io/en/latest/)\n",
     "\n",
@@ -4673,10 +5504,21 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "291c9b6d",
-   "metadata": {},
-   "outputs": [],
+   "execution_count": 36,
+   "id": "fec78172",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[0.25       0.19661197 0.10499357]\n"
+     ]
+    }
+   ],
    "source": [
     "import jax.numpy as jnp\n",
     "from jax import grad, jit, vmap\n",
@@ -4688,22 +5530,9 @@
     "derivative_fn = grad(sum_logistic)\n",
     "print(derivative_fn(x_small))"
    ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "id": "e201d58b",
-   "metadata": {},
-   "outputs": [],
-   "source": []
   }
  ],
  "metadata": {
-  "kernelspec": {
-   "display_name": "Python 3 (ipykernel)",
-   "language": "python",
-   "name": "python3"
-  },
   "language_info": {
    "codemirror_mode": {
     "name": "ipython",
diff --git a/doc/LectureNotes/_build/jupyter_execute/week39.py b/doc/LectureNotes/_build/jupyter_execute/week39.py
index e64fafae7..a6a579815 100644
--- a/doc/LectureNotes/_build/jupyter_execute/week39.py
+++ b/doc/LectureNotes/_build/jupyter_execute/week39.py
@@ -19,8 +19,10 @@
 #   * Repetition of Logistic regression equations and classification problems and discussion of Gradient methods. Examples on how to implement Logistic Regression and discussion of gradient methods
 # 
 #   * Stochastic Gradient descent with examples and automatic differentiation (theme also for next week).
-# <!-- * [Video of lecture](https://youtu.be/bFRVuIJroHs) -->
-# <!-- * Whiteboard notes TBA at <https://github.com/CompPhysics/MachineLearning/blob/master/doc/HandWrittenNotes/2023/NotesSep28.pdf> -->
+# 
+#   * [Video of lecture](https://youtu.be/ISGpTC28Vmk)
+# 
+#   * [Whiteboard notes](https://github.com/CompPhysics/MachineLearning/blob/master/doc/HandWrittenNotes/2024/NotesSeptember23.pdf)
 # 
 #   * Readings and Videos:
 # 
@@ -46,12 +48,7 @@
 # 
 #   * [Video on how to write scientific reports recorded during one of the lab sessions](https://youtu.be/tVW1ZDmZnwM)
 # 
-# These sections summarize neatly what we have done till now and point to what is coming with respect to deep learning. 
 #   * A general guideline can be found at <https://github.com/CompPhysics/MachineLearning/blob/master/doc/Projects/EvaluationGrading/EvaluationForm.md>.
-# 
-#   
-# 
-# <!-- rett opp tyrleif -->
 
 # ## Lecture Monday September 23, Optimization, the central part of any Machine Learning algortithm
 # 
@@ -2080,25 +2077,13 @@ print("The gradient of f9 is:",f9_alternative_grad(x))
 # w.r.t x is (b_1, b_2).
 
 
-# ## Recommended to avoid
-# The documentation recommends to avoid inplace operations such as
-
-# In[27]:
-
-
-a += b
-a -= b
-a*= b
-a /=b
-
-
 # ## Using Autograd with OLS
 # 
 # We conclude the part on optmization by showing how we can make codes
 # for linear regression and logistic regression using **autograd**. The
 # first example shows results with ordinary leats squares.
 
-# In[ ]:
+# In[27]:
 
 
 # Using Autograd to calculate gradients for OLS
@@ -2154,7 +2139,7 @@ plt.show()
 
 # ## Same code but now with momentum gradient descent
 
-# In[ ]:
+# In[28]:
 
 
 # Using Autograd to calculate gradients for OLS
@@ -2214,7 +2199,7 @@ print(theta)
 
 # ## But none of these can compete with Newton's method
 
-# In[ ]:
+# In[29]:
 
 
 # Using Newton's method
@@ -2260,7 +2245,7 @@ print(beta)
 # ## Including Stochastic Gradient Descent with Autograd
 # In this code we include the stochastic gradient descent approach discussed above. Note here that we specify which argument we are taking the derivative with respect to when using **autograd**.
 
-# In[ ]:
+# In[30]:
 
 
 # Using Autograd to calculate gradients using SGD
@@ -2340,7 +2325,7 @@ print(theta)
 
 # ## Same code but now with momentum gradient descent
 
-# In[ ]:
+# In[31]:
 
 
 # Using Autograd to calculate gradients using SGD
@@ -2414,7 +2399,7 @@ print(theta)
 
 # ## Similar (second order function now) problem but now with AdaGrad
 
-# In[ ]:
+# In[32]:
 
 
 # Using Autograd to calculate gradients using AdaGrad and Stochastic Gradient descent
@@ -2471,7 +2456,7 @@ print(theta)
 
 # ## RMSprop for adaptive learning rate with Stochastic Gradient Descent
 
-# In[ ]:
+# In[33]:
 
 
 # Using Autograd to calculate gradients using RMSprop  and Stochastic Gradient descent
@@ -2532,7 +2517,7 @@ print(theta)
 
 # ## And finally [ADAM](https://arxiv.org/pdf/1412.6980.pdf)
 
-# In[ ]:
+# In[34]:
 
 
 # Using Autograd to calculate gradients using RMSprop  and Stochastic Gradient descent
@@ -2598,7 +2583,7 @@ print(theta)
 
 # ## And Logistic Regression
 
-# In[ ]:
+# In[35]:
 
 
 import autograd.numpy as np
@@ -2646,7 +2631,7 @@ print("Trained loss:", training_loss(weights))
 # 
 # Here's a simple example on how you can use **JAX** to compute the derivate of the logistic function.
 
-# In[ ]:
+# In[36]:
 
 
 import jax.numpy as jnp
@@ -2659,9 +2644,3 @@ x_small = jnp.arange(3.)
 derivative_fn = grad(sum_logistic)
 print(derivative_fn(x_small))
 
-
-# In[ ]:
-
-
-
-
diff --git a/doc/LectureNotes/_build/jupyter_execute/week39_153_1.png b/doc/LectureNotes/_build/jupyter_execute/week39_153_1.png
index 2553e4ed5..75cbb585c 100644
Binary files a/doc/LectureNotes/_build/jupyter_execute/week39_153_1.png and b/doc/LectureNotes/_build/jupyter_execute/week39_153_1.png differ
diff --git a/doc/LectureNotes/_build/jupyter_execute/week39_166_1.png b/doc/LectureNotes/_build/jupyter_execute/week39_166_1.png
index 91b413b23..e2318103e 100644
Binary files a/doc/LectureNotes/_build/jupyter_execute/week39_166_1.png and b/doc/LectureNotes/_build/jupyter_execute/week39_166_1.png differ
diff --git a/doc/LectureNotes/_build/jupyter_execute/week39_263_1.png b/doc/LectureNotes/_build/jupyter_execute/week39_263_1.png
new file mode 100644
index 000000000..2ea853578
Binary files /dev/null and b/doc/LectureNotes/_build/jupyter_execute/week39_263_1.png differ
diff --git a/doc/LectureNotes/_build/jupyter_execute/week39_269_3.png b/doc/LectureNotes/_build/jupyter_execute/week39_269_3.png
new file mode 100644
index 000000000..cc2a55be2
Binary files /dev/null and b/doc/LectureNotes/_build/jupyter_execute/week39_269_3.png differ
diff --git a/doc/LectureNotes/week39.ipynb b/doc/LectureNotes/week39.ipynb
index bde575030..a2ce54336 100644
--- a/doc/LectureNotes/week39.ipynb
+++ b/doc/LectureNotes/week39.ipynb
@@ -2,8 +2,10 @@
  "cells": [
   {
    "cell_type": "markdown",
-   "id": "0be56d20",
-   "metadata": {},
+   "id": "014c8f7e",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "<!-- HTML file automatically generated from DocOnce source (https://github.com/doconce/doconce/)\n",
     "doconce format html week39.do.txt --no_mako -->\n",
@@ -12,8 +14,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "41352012",
-   "metadata": {},
+   "id": "0bb320b9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "# Week 39: Optimization and  Gradient Methods\n",
     "**Morten Hjorth-Jensen**, Department of Physics, University of Oslo and Department of Physics and Astronomy and Facility for Rare Isotope Beams, Michigan State University\n",
@@ -23,16 +27,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "471d9b17",
-   "metadata": {},
+   "id": "39af5319",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Plan for week 39, September 23-27, 2024"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "a3f843e5",
-   "metadata": {},
+   "id": "57ff9961",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Lecture Monday September 23\n",
     "\n",
@@ -41,8 +49,10 @@
     "  * Repetition of Logistic regression equations and classification problems and discussion of Gradient methods. Examples on how to implement Logistic Regression and discussion of gradient methods\n",
     "\n",
     "  * Stochastic Gradient descent with examples and automatic differentiation (theme also for next week).\n",
-    "<!-- * [Video of lecture](https://youtu.be/bFRVuIJroHs) -->\n",
-    "<!-- * Whiteboard notes TBA at <https://github.com/CompPhysics/MachineLearning/blob/master/doc/HandWrittenNotes/2023/NotesSep28.pdf> -->\n",
+    "\n",
+    "  * [Video of lecture](https://youtu.be/ISGpTC28Vmk)\n",
+    "\n",
+    "  * [Whiteboard notes](https://github.com/CompPhysics/MachineLearning/blob/master/doc/HandWrittenNotes/2024/NotesSeptember23.pdf)\n",
     "\n",
     "  * Readings and Videos:\n",
     "\n",
@@ -59,8 +69,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b611ff2d",
-   "metadata": {},
+   "id": "4cef25d3",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Lab sessions week 39\n",
     "\n",
@@ -74,18 +86,15 @@
     "\n",
     "  * [Video on how to write scientific reports recorded during one of the lab sessions](https://youtu.be/tVW1ZDmZnwM)\n",
     "\n",
-    "These sections summarize neatly what we have done till now and point to what is coming with respect to deep learning. \n",
-    "  * A general guideline can be found at <https://github.com/CompPhysics/MachineLearning/blob/master/doc/Projects/EvaluationGrading/EvaluationForm.md>.\n",
-    "\n",
-    "  \n",
-    "\n",
-    "<!-- rett opp tyrleif -->"
+    "  * A general guideline can be found at <https://github.com/CompPhysics/MachineLearning/blob/master/doc/Projects/EvaluationGrading/EvaluationForm.md>."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "126f7d60",
-   "metadata": {},
+   "id": "bdae6350",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Lecture Monday September 23, Optimization, the central part of any Machine Learning algortithm\n",
     "\n",
@@ -103,8 +112,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a2682f11",
-   "metadata": {},
+   "id": "8fede05c",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Revisiting our Logistic Regression case\n",
     "\n",
@@ -118,8 +129,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d51c88b5",
-   "metadata": {},
+   "id": "b8a00c23",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\begin{align*}\n",
@@ -131,16 +144,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4a135362",
-   "metadata": {},
+   "id": "5f2ae8d2",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "where $\\boldsymbol{\\beta}$ are the weights we wish to extract from data, in our case $\\beta_0$ and $\\beta_1$."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "26444396",
-   "metadata": {},
+   "id": "43aafb89",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## The equations to solve\n",
     "\n",
@@ -153,8 +170,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9bc5702f",
-   "metadata": {},
+   "id": "a1a11c10",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\frac{\\partial \\mathcal{C}(\\boldsymbol{\\beta})}{\\partial \\boldsymbol{\\beta}} = -\\boldsymbol{X}^T\\left(\\boldsymbol{y}-\\boldsymbol{p}\\right).\n",
@@ -163,8 +182,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a857de8b",
-   "metadata": {},
+   "id": "28e31aff",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "If we in addition define a diagonal matrix $\\boldsymbol{W}$ with elements \n",
     "$p(y_i\\vert x_i,\\boldsymbol{\\beta})(1-p(y_i\\vert x_i,\\boldsymbol{\\beta})$, we can obtain a compact expression of the second derivative as"
@@ -172,8 +193,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "dc870dc3",
-   "metadata": {},
+   "id": "3c985328",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\frac{\\partial^2 \\mathcal{C}(\\boldsymbol{\\beta})}{\\partial \\boldsymbol{\\beta}\\partial \\boldsymbol{\\beta}^T} = \\boldsymbol{X}^T\\boldsymbol{W}\\boldsymbol{X}.\n",
@@ -182,16 +205,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4001c458",
-   "metadata": {},
+   "id": "555aa6ae",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "This defines what is called  the Hessian matrix."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "4f3262b4",
-   "metadata": {},
+   "id": "1a1c2b60",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Solving using Newton-Raphson's method\n",
     "\n",
@@ -202,8 +229,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0d94cee2",
-   "metadata": {},
+   "id": "e0247958",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{\\beta}^{\\mathrm{new}} = \\boldsymbol{\\beta}^{\\mathrm{old}}-\\left(\\frac{\\partial^2 \\mathcal{C}(\\boldsymbol{\\beta})}{\\partial \\boldsymbol{\\beta}\\partial \\boldsymbol{\\beta}^T}\\right)^{-1}_{\\boldsymbol{\\beta}^{\\mathrm{old}}}\\times \\left(\\frac{\\partial \\mathcal{C}(\\boldsymbol{\\beta})}{\\partial \\boldsymbol{\\beta}}\\right)_{\\boldsymbol{\\beta}^{\\mathrm{old}}},\n",
@@ -212,16 +241,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d92e7b5d",
-   "metadata": {},
+   "id": "f5ba3a72",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "or in matrix form as"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "076acdca",
-   "metadata": {},
+   "id": "f8a47d6d",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{\\beta}^{\\mathrm{new}} = \\boldsymbol{\\beta}^{\\mathrm{old}}-\\left(\\boldsymbol{X}^T\\boldsymbol{W}\\boldsymbol{X} \\right)^{-1}\\times \\left(-\\boldsymbol{X}^T(\\boldsymbol{y}-\\boldsymbol{p}) \\right)_{\\boldsymbol{\\beta}^{\\mathrm{old}}}.\n",
@@ -230,8 +263,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c37ab3fd",
-   "metadata": {},
+   "id": "506e1a50",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "The right-hand side is computed with the old values of $\\beta$. \n",
     "\n",
@@ -240,8 +275,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4f771526",
-   "metadata": {},
+   "id": "3ad1aa1c",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Brief reminder on Newton-Raphson's method\n",
     "\n",
@@ -258,8 +295,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e13dad72",
-   "metadata": {},
+   "id": "d3d8671f",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## The equations\n",
     "\n",
@@ -272,8 +311,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aff57d4b",
-   "metadata": {},
+   "id": "a2e68cbb",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "<!-- Equation labels as ordinary links -->\n",
     "<div id=\"eq:taylornr\"></div>\n",
@@ -286,8 +327,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "38304c1d",
-   "metadata": {},
+   "id": "d7fd3b46",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "For small enough values of the function and for well-behaved\n",
     "functions, the terms beyond linear are unimportant, hence we obtain"
@@ -295,8 +338,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8da576a0",
-   "metadata": {},
+   "id": "465903ba",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "f(x)+(s-x)f'(x)\\approx 0,\n",
@@ -305,16 +350,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "46d9c588",
-   "metadata": {},
+   "id": "92a910da",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "yielding"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "3a3ca58b",
-   "metadata": {},
+   "id": "e9ed41e4",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "s\\approx x-\\frac{f(x)}{f'(x)}.\n",
@@ -323,16 +372,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0c9c700f",
-   "metadata": {},
+   "id": "742eaaea",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Having in mind an iterative procedure, it is natural to start iterating with"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "b273b273",
-   "metadata": {},
+   "id": "1eabaea3",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "x_{n+1}=x_n-\\frac{f(x_n)}{f'(x_n)}.\n",
@@ -341,8 +394,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3e0a875b",
-   "metadata": {},
+   "id": "532422db",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Simple geometric interpretation\n",
     "\n",
@@ -361,8 +416,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "727cfd55",
-   "metadata": {},
+   "id": "98a519bb",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Extending to more than one variable\n",
     "\n",
@@ -372,8 +429,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f78349b5",
-   "metadata": {},
+   "id": "8dd900d6",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\begin{array}{cc} f_1(x_1,x_2) &=0\\\\\n",
@@ -383,16 +442,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2ee16c9e",
-   "metadata": {},
+   "id": "eb544f9d",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "which we Taylor expand to obtain"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "f95fdb8b",
-   "metadata": {},
+   "id": "7b83fe06",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\begin{array}{cc} 0=f_1(x_1+h_1,x_2+h_2)=&f_1(x_1,x_2)+h_1\n",
@@ -407,16 +470,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3f039432",
-   "metadata": {},
+   "id": "7e03330a",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Defining the Jacobian matrix ${\\bf \\boldsymbol{J}}$ we have"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "dbd20795",
-   "metadata": {},
+   "id": "8b6bbcc0",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "{\\bf \\boldsymbol{J}}=\\left( \\begin{array}{cc}\n",
@@ -428,16 +495,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "98ba6676",
-   "metadata": {},
+   "id": "942ef368",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "we can rephrase Newton's method as"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "ad52dad5",
-   "metadata": {},
+   "id": "8d383d9e",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\left(\\begin{array}{c} x_1^{n+1} \\\\ x_2^{n+1} \\end{array} \\right)=\n",
@@ -448,16 +519,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cc09e475",
-   "metadata": {},
+   "id": "f3cbe6ed",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "where we have defined"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "7a1c0547",
-   "metadata": {},
+   "id": "c4086d22",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\left(\\begin{array}{c} h_1^{n} \\\\ h_2^{n} \\end{array} \\right)=\n",
@@ -468,8 +543,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9fe4208b",
-   "metadata": {},
+   "id": "e6317de3",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "We need thus to compute the inverse of the Jacobian matrix and it\n",
     "is to understand that difficulties  may\n",
@@ -481,8 +558,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2a81e02b",
-   "metadata": {},
+   "id": "edf2bfe8",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Steepest descent\n",
     "\n",
@@ -496,8 +575,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f90232dd",
-   "metadata": {},
+   "id": "a7fb938f",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\mathbf{x}_{k+1} = \\mathbf{x}_k - \\gamma_k \\nabla F(\\mathbf{x}_k),\n",
@@ -506,8 +587,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4fb8b51e",
-   "metadata": {},
+   "id": "d847b9be",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "with $\\gamma_k > 0$.\n",
     "\n",
@@ -518,8 +601,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "81da0301",
-   "metadata": {},
+   "id": "9b5b4acb",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## More on Steepest descent\n",
     "\n",
@@ -531,8 +616,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9b1a0014",
-   "metadata": {},
+   "id": "ce9525ec",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\mathbf{x}_{k+1} = \\mathbf{x}_k - \\gamma_k \\nabla F(\\mathbf{x}_k), \\ \\ k \\geq 0.\n",
@@ -541,8 +628,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "52e8d174",
-   "metadata": {},
+   "id": "54d2e571",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "The parameter $\\gamma_k$ is often referred to as the step length or\n",
     "the learning rate within the context of Machine Learning."
@@ -550,8 +639,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "be802e47",
-   "metadata": {},
+   "id": "c35ee552",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## The ideal\n",
     "\n",
@@ -576,8 +667,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c2404539",
-   "metadata": {},
+   "id": "2f025ad9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## The sensitiveness of the gradient descent\n",
     "\n",
@@ -596,8 +689,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f96c6cdf",
-   "metadata": {},
+   "id": "80f3bd26",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Convex functions\n",
     "\n",
@@ -616,8 +711,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0deb328b",
-   "metadata": {},
+   "id": "199afe72",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Convex function\n",
     "\n",
@@ -635,8 +732,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "74dc1b02",
-   "metadata": {},
+   "id": "26f4fb05",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Conditions on convex functions\n",
     "\n",
@@ -672,8 +771,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bc8bc23c",
-   "metadata": {},
+   "id": "ef861245",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## More on convex functions\n",
     "\n",
@@ -698,8 +799,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b004d0d8",
-   "metadata": {},
+   "id": "989686b9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Some simple problems\n",
     "\n",
@@ -726,8 +829,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "004c656f",
-   "metadata": {},
+   "id": "8f0a01ed",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Standard steepest descent\n",
     "\n",
@@ -744,8 +849,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3055088e",
-   "metadata": {},
+   "id": "098985af",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{A}\\boldsymbol{x} = \\boldsymbol{b}.\n",
@@ -754,16 +861,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9d268d89",
-   "metadata": {},
+   "id": "ca3b1849",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "In the iterative process we end up with a problem like"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "c8dbe560",
-   "metadata": {},
+   "id": "a9026b79",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{r}= \\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x},\n",
@@ -772,8 +883,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fd2de293",
-   "metadata": {},
+   "id": "dff64482",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "where $\\boldsymbol{r}$ is the so-called residual or error in the iterative process.\n",
     "\n",
@@ -782,8 +895,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "25344346",
-   "metadata": {},
+   "id": "502eba66",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Gradient method\n",
     "\n",
@@ -792,8 +907,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c1b8855c",
-   "metadata": {},
+   "id": "fde7d2c9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "P(\\boldsymbol{x})=\\frac{1}{2}\\boldsymbol{x}^T\\boldsymbol{A}\\boldsymbol{x} - \\boldsymbol{x}^T\\boldsymbol{b},\n",
@@ -802,8 +919,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "506aceb6",
-   "metadata": {},
+   "id": "636a5eb2",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "with the constraint that the matrix $\\boldsymbol{A}$ is positive definite and\n",
     "symmetric.  This defines also the Hessian and we want it to be  positive definite."
@@ -811,8 +930,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "53b26051",
-   "metadata": {},
+   "id": "ce3be231",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Steepest descent  method\n",
     "\n",
@@ -822,8 +943,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "06b0db34",
-   "metadata": {},
+   "id": "f87ac8d2",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{x}_0=0,\n",
@@ -832,16 +955,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0d9ddd86",
-   "metadata": {},
+   "id": "7961c3fc",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "or consider the system"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "66dff86c",
-   "metadata": {},
+   "id": "9ae1698c",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{A}\\boldsymbol{z} = \\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x}_0,\n",
@@ -850,16 +977,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "77c18c22",
-   "metadata": {},
+   "id": "b5e2f728",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "instead."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "9dfad29a",
-   "metadata": {},
+   "id": "f3d7aa36",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Steepest descent  method\n",
     "One can show that the solution $\\boldsymbol{x}$ is also the unique minimizer of the quadratic form"
@@ -867,8 +998,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "50edf2f9",
-   "metadata": {},
+   "id": "2acb11da",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "f(\\boldsymbol{x}) = \\frac{1}{2}\\boldsymbol{x}^T\\boldsymbol{A}\\boldsymbol{x} - \\boldsymbol{x}^T \\boldsymbol{x} , \\quad \\boldsymbol{x}\\in\\mathbf{R}^n.\n",
@@ -877,8 +1010,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "51d84a77",
-   "metadata": {},
+   "id": "ee51e96c",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "This suggests taking the first basis vector $\\boldsymbol{r}_1$ (see below for definition) \n",
     "to be the gradient of $f$ at $\\boldsymbol{x}=\\boldsymbol{x}_0$, \n",
@@ -887,8 +1022,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f3179c0a",
-   "metadata": {},
+   "id": "921a7d11",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{A}\\boldsymbol{x}_0-\\boldsymbol{b},\n",
@@ -897,8 +1034,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "66bc0e76",
-   "metadata": {},
+   "id": "30f50187",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "and \n",
     "$\\boldsymbol{x}_0=0$ it is equal $-\\boldsymbol{b}$."
@@ -906,8 +1045,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9be63d8b",
-   "metadata": {},
+   "id": "268a19dd",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Final expressions\n",
     "We can compute the residual iteratively as"
@@ -915,8 +1056,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "07294b6e",
-   "metadata": {},
+   "id": "bc9ef63b",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{r}_{k+1}=\\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x}_{k+1},\n",
@@ -925,16 +1068,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5cb13e3a",
-   "metadata": {},
+   "id": "4b2a66e9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "which equals"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "b95b4415",
-   "metadata": {},
+   "id": "cc10185f",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{b}-\\boldsymbol{A}(\\boldsymbol{x}_k+\\alpha_k\\boldsymbol{r}_k),\n",
@@ -943,16 +1090,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "90956a95",
-   "metadata": {},
+   "id": "bfea4d71",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "or"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "d4675379",
-   "metadata": {},
+   "id": "0db69549",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "(\\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x}_k)-\\alpha_k\\boldsymbol{A}\\boldsymbol{r}_k,\n",
@@ -961,16 +1112,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6e3a1c20",
-   "metadata": {},
+   "id": "e950ac57",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "which gives"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "e9b86a0a",
-   "metadata": {},
+   "id": "0d0be156",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\alpha_k = \\frac{\\boldsymbol{r}_k^T\\boldsymbol{r}_k}{\\boldsymbol{r}_k^T\\boldsymbol{A}\\boldsymbol{r}_k}\n",
@@ -979,16 +1134,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a1fd88cc",
-   "metadata": {},
+   "id": "5a44b7f9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "leading to the iterative scheme"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "39f090b1",
-   "metadata": {},
+   "id": "7fcb3188",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{x}_{k+1}=\\boldsymbol{x}_k+\\alpha_k\\boldsymbol{r}_{k},\n",
@@ -997,8 +1156,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0ad69506",
-   "metadata": {},
+   "id": "59681f93",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Steepest descent example"
    ]
@@ -1006,30 +1167,12 @@
   {
    "cell_type": "code",
    "execution_count": 1,
-   "id": "4a529fa4",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "<mpl_toolkits.mplot3d.art3d.Poly3DCollection at 0x11f758f40>"
-      ]
-     },
-     "execution_count": 1,
-     "metadata": {},
-     "output_type": "execute_result"
-    },
-    {
-     "data": {
-      "image/png": "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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "id": "b27b7d36",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "%matplotlib inline\n",
     "\n",
@@ -1057,8 +1200,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "949a0d1c",
-   "metadata": {},
+   "id": "3cec05a7",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "And then as countor plot"
    ]
@@ -1066,20 +1211,12 @@
   {
    "cell_type": "code",
    "execution_count": 2,
-   "id": "3b0698ff",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAiUAAAGiCAYAAAA4MLYWAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9hAAAPYQGoP6dpAACwRklEQVR4nOzdd3ib1fn/8bem9957x/GIE2fvEEjC3ruUFgq0pf21pYPuAW0p3xZo6YRS2oYyCmUTQiB778QZju3Ee+8ha1iyxvP7Q46IyYBAbNnW/bouXZIl2b7j2NLnuc95zlEpiqIghBBCCOFlam8XIIQQQggBEkqEEEIIMUZIKBFCCCHEmCChRAghhBBjgoQSIYQQQowJEkqEEEIIMSZIKBFCCCHEmCChRAghhBBjgoQSIYQQQowJEkqEEEIIMSaMaCh56qmnKCoqIjQ0lNDQUObNm8eaNWtG8lsKIYQQYpxSjeTeN6tWrUKj0ZCdnQ3Ac889x2OPPUZJSQkFBQUj9W2FEEIIMQ6NaCg5k8jISB577DHuueee0fy2QgghhBjjtKP1jZxOJ6+++ipms5l58+ad8Tk2mw2bzeb52OVy0dPTQ1RUFCqVarRKFUIIIcRnoCgKRqORxMRE1OrzmCmijLAjR44oQUFBikajUcLCwpTVq1ef9bm/+MUvFEAucpGLXOQiF7lMgEtjY+N5ZYYRH74ZHBykoaGBvr4+Xn/9dZ599lm2bNlCfn7+ac/9aKfEYDCQmppKY2MjoaGhI1nmmORS7HRa9tFs2Uy7eSt2l8nzmJ8mioSgxSQELiEqYBpq1ag1vUac3WWnwdxAjbnWfTHV0WfvO+15erWe1MAU0gJTyQhOJzUwlRi/aNQqOalMiJFgdlhosjRRZ6mn1lxHvbmensHe056nU+lIDUohMyjDfQnOIFwfPvoFjyCzvZU281ZaLZvpsR4d9liEfyGJgUtJCF5KoDbWSxV6V39/PykpKfT19REWFvaJP2/U55QsW7aMrKws/v73v3/sc/v7+wkLC8NgMPhkKNnafB9d1v2ej/000SQFXUJy8HKi/KehUmm8WN2F02/v54SxikpTJZXGKuotDTgUx7DnqFGTHJhEZlAmmcEZZASlkxSQiGaC/AyEGK8MdgO1prpTDiJqMTvNpz0vWh9FVnAWOSHZTArOISUwecIcQAw4Omg2rafZvJ5ua8mwx5Ymv0iE3+kH4RPdp33/HvXDa0VRhnVDxNnFBc7FaK+bUEFEURQ6bJ2cMJ7ghKmKE8YTtFnbT3teiDaYrOAssocuGUHp+Gv8vVCxEOJcwnRhTIuYyrSIqYD7b7zN2k6VqYoqUw1VpmqaB5rpGuymq6ebPT17AQjQBJAdnEVuyCRygrPJDM5Er9Z585/yqQVoY8kO/xzZ4Z8bFlDM9ibC9bneLm9cGdFOyY9//GMuv/xyUlJSMBqNvPzyy/zf//0f77//PsuXL//Yz/f1TonTZUWt0o3rIKIoCq3WNiqMx6nor+C48QR9dsNpz0sOSCInJIec4Gyyg7OI9YuRyc1CTBADzgFqTLVUmaqpNFVRaazC6rIOe45WpSUjKJ3JobnkhUwmOzgLP42flyq+MByuAbTqAG+X4RVjslPS3t7OnXfeSWtrK2FhYRQVFX3iQCJAox5/nYGPhpAK43EM9v5hz9GoNGQEZZAbksOk4ByyQ7II1gZ7qWJxPuwuJ1annUGXk0Gnw33tcng+truc2BUnLkXB4XLhVFy4FBcOxYVLUXAqrnN+fRUqNGo1GpUKjUrtuWhVajRqNTqVBr1Gg16tRa92X+uGPvZTa/HXaCXMjkEBmgAKwvIpCHMPYzgVJ02WJo4bKzlhquSEsRKD3eAOLKYqVrEajUpDZlDGuA4pvhpIPotRn1NyPny9UzJe9A0aONZ/jFLDMY71l2P4SCdEp9KRHZzF5NBcJofkkhmcgV6t91K1vmnQ6aBvcIA++wB9gxb6B62Y7FaMDhtGuxWz3TZ024bJbsXiGGTAafdcW512BhyD2D8mVHibCgjQ6AjQ6vHX6AjQ6AjU6gnQ6AjW+RGs9SdE50ewzo8QnT/BWvftUJ0/4fpAwvQBhOsDCNb6SbgZRe5h3Q6OGyup6D9OubGCnsGeYc/RqDRkBWdSGFrAlLBC0oPSJsyclIno075/SygR523QZafSWEmp4Ril/cdosDQOe/z0EDJ+x4rHKpvTQZfVRLfNPHQx0WMz02Uz0zN0n2HQHUD6BgcYcNoveA06lRqdxt2x8FNr0Q/d1qo0aNTu7ob6Ix0PtUrFud7qXSieLstHOyx2lxO7y8mgy4nd5cDmcjDodHdqLvSLmEalIkwXMBRSAon0CyTKL4hIvyCi/IKI8gse9nG4PkBCzAWkKApdg12U9x8/a0gJ0gRRGJZPYVgBhWEFROojvVStOBMJJWJEddq6ONJ3hMN9Ryk3VjDoGhz2eFpgGlOGXhyygrMkhHxKiqLQM2ih1WKgdcBAh9VI54CRDquJDqvRfRkwYrAPnPfXVqMiTO9+ow3TBQx1DIY6B9rh3YMgrZ6AoQ6D59rTgdCiV2tRj5E3YUVRcCgubE4HA0MdHavTjmXo9smOj8lhwzTUCTrZFXJ3iKz0D1ox2AcwfMoAp1driPEPIfbkJSDY83F8QCgJAWHEB4Si10ycU/dHk6IodNq6PB3Zsv5yLM7hfwOJAYlMDZvC1PAicoKz0arlZ+1NEkrEBeVwOag0VXGo7zBH+o7SYm0d9ni4LmzoCKWQgtB8QnUhXqp0fHG4XLQP9NNk6aXR3EvLUPhoG+inxWKgbcDAoMv5ib6WTq0heuio/cMjePclwi+QSL8gwnTu4YhwfSDBOr8xEyTGMqvTjmFwYKjT5O429Qxa6B7qTPXYLMO6Uwa79eO/6JBovyDiA8JICAwjISCUhMAwkgMjSA4KJzkwgmDd+Joz4S1OxUmNqZajhlJKDceoMdeinNIv81f7UxhWwNTwKRSFTZlwa6SMBxJKxGfWbzdyuO8wh/oOU2ooGzY7Xo2anJBspoZNYUr4FFICkqVdfRYWxyAN5h7qTT00mHpotPTSZO6jydJLq8WA42Mne0LM0BF2fEAoMf7BniPwmIAPj8ZDdf7yfzAGDDoddA51sjpPdrOsRjoGTLRb+2kf6Kd1wIDV6fjYrxWuDyAlKIKkwAhSgsJJCYokLTiS9KAoYvyD5f/7LEwOE8cMZRwxHOVIXyn9juGT69MCU5kWPpXi8GmkBaXKXJRRIKFEnLeTZ8qU9B2ipPcQVabqYUcbodpQisILmRpeREFoAUHaQC9WO7Y4XC4azb3UGDupM3VTZ+qmfiiIdFiN5/xcnVpDYkAYKUERJAaGkRgYTsIpR8+xAaHo1eP3NHBxOkVR6BscoHXA4Bmaa7UYaBkweAJr3+C5h+QCNTpSgyNJC4pyB5XgKDJCoskMjiZUP/7O1BspLsVFnbmew4YjHOk7Sq25btjrWrgu3B1QIqaSH5onk+5HiIQS8Ym4FBcnjJVDQeQw7bbhC5fJEcVwVqedamMXtcYuqo2d1Bi7qDZ20WDqPueZKGG6ANKCI0kLjiI1KILkwHCSgiJICYog1j9EhlHEaUx2G00nu2rmXposvTSYe6k3ddNs6cN5jpfqaL9gskKiyfRcYsgOiZHuCu4Vo48YSjnUe4ijhlKsrg8X79Sr9RSGFVAcPo3i8KmEyDD0BSOhRJyVw+WgrL+c/b0HOdhbgtHx4ZG8RqUhPzSP4vCpTAufRpSfb85gdyruzscJQzsn+js40d9BZX8HDaYeXGc5t8NfoyUj2P0mkHbKEWxacBThelmfQFw4gy4nzea+oY5cN/WmHupM3dQau2g/R2cuTBfApLBYckJjmRQay6TQOCaFxhLko3NX7C47Ff3H3QdlfYeG7dujQkVuyCRmRsxgRuR0IvURXqx0/JNQIoZxuBwc6y9nb88+DvaWYHFaPI8FagKZFl7E9IhiCsMKCND41hvooMtJdX8nx/paKOtrpayvjRP97Wc96yJMF0B2aIznKDQrxH07ISBMOh7C60x2GzXGLmqMnVQbu4a6eZ00mnvPGqhTgiLIC4unIDyB/PAECsITifDzreFZRVFosDRwsO8QB3tLTlvaICc4m9mRM5kZOVMCyqcgoUTgUlyU91ewu2cvB3oOYD4liITpwpgRUczMiBnkhkzymdPl7C4nJ/o7KO1tpqyvlWN9rZzo78B+hjNc/NRazxFlTmgsOUNHmDF+0gIX48/JocfKoa5fZX8Hxw3tZ53zlBAQSn54Ivnh8RSGJzIlIsmngkqnrZMDPQfZ33uQSlPVsMdygrOZFzWHWZGz5EzDT0hCiY9SFIUacy27u/ewp2ffsNVUw3RhzIyYwezImUwKyZnw80MURaHJ0seR3maO9jRzZCiI2Fynn/UQqvMnPzyB/LB48iMSyQuLJy04Es0E/xkJ0WuzUGFoc3cJDW0c622h3txzxuemBEVQFJHElIgkiiKSyAuPx18z8dcg6hnsZX/PAfb17OeEqdJzvxo1BWH5zI2czYzI6T7XZT4fEkp8TJOlmd3de9jds5dOW6fn/iBNELMiZzI3aja5IZMmdBCxOAYp7W2hpKeRku5GjvQ20ztoOe15ITo/CsOTKIz4sFWdHBgu3Q8hhpjsNsoMrUPDma2U9rZQa+o+7XlalZpJYXFMi0ymODKF4sgUEgPDJvTfUs9gL3t79rG7ey+15lrP/TqVlqnhU5kbNZup4VNlwciPkFDiA/oGDezu2cPOrl3UWxo89/up/ZgeUczcqNkUhhZM2KGZFouBkp5GDnU3UtLTSIWh7bQzEnQqNZPD44cd3aUFR8ncDyHOk2FwgNK+Fo72NnNkqPPYbTOf9rxY/xCKI1OYFuUOKnnhCRP2lPY2azt7uveyq3sPracsKBmoCWBW5CwWRM8jJzh7Qh8MflISSiYom9PGwd4SdnTvotRwzHO+vUaloShsCvOi5jAtfOq42z3z4yiKQp2pm31d9ezvbmB/Vz2tA4bTnhfnH0JxVCrFkclMjUwmLyxelvIWYgQoikLrQD+He5o41NPIoZ4myvpaT1sM0E+tZWpkMjOjU5kVnc7UiGQCtBOri+CeJNvI7p497O7eO2xfnmh9NPOj57Igah7xAfFerNK7JJRMQC/Vv8yWzq3DzqvPCspkQfQ85kTOJlgX7MXqLiyXonCiv539XfXs72pgf3f9aUdlGpWKyWHxQ0dlKUyPTCEhMMxLFQshBhx2SvtaPN3Lkp7G0xaB06rUFEYkMjMqjZnRacyISp1Qy+m7FBfHjSfY0bWTfT0Hhq2EnRmUwb2ZXyIpINGLFXqHhJIJ6Lm659nYsZkYv2jmR81jfvQ84v3jvF3WBdNs7mNHRzW7OmvY01l32nwQvVpDUUQys6LdL2ZTI5MJ0srqi0KMVYqiUGPsYn+3++BiX1fdaeuoaFQqCsITmRebyfzYTKZFpkyY4R6b00ZJ3yF2du3iqOEYGpWaPxb/wSdXw5ZQMgG1DbTR7zCSE5w9ISaSGe1WdnfWsrOjhp0dNTR8ZMZ/oEbHtKgUdwiJSmNKRBJ+MhQjxLilKArNlj72d9Wzr7ue/V31NJh7hz0nUKNjZnQ682MzWRCbRVZI9IR4vTPYDdSa6pgWMdXbpXiFhBIx5iiKwvH+dra1VbG1vYpDPY3Dxp81KhVTI5KZH5vJvNhMpkQkoZsgR0xCiDNrsRjYM3Rwsquz5rRh2oSAMBbHZbMoLpu5sZnSHR2nJJSIMcFot7Kro4Yt7ZVsb68+baGm9OAoFsRmMj82i9nR6RNqbHmicrhcWOyDmAftmO2DWOx2bE4HNocTm8Px4W2n+7bd6cLhcuFUhq5diudjp+vcLzcqFWjUarQqNRq1Cq1ajUaldl+r1fhpNPhptfhpNPhrtfhptB9+rNMRpNMRqNMTrNfhp9FOiCPuiezkXLKT3dN9XXUMnrKwoU6lZkZ0GouGQkp2SIz8n44TEkqE1zSYetjUdoJNrcc50N0wrBvir9EyNyaTRXHZLI7LJjlIlmsebYqi0G+z0WMdoHdg6GIdwGCz0W+zYrTZ6LfZMNis9A/dNg0OuoOI3c6g8/TVb8cDtUpFoE5HkE5PoE5HqJ/fKRf/YbfD/fyJCAggIiCASH/3tV4jXbvRNuCws7erjm3tlWxrrzptqCcpMJyl8ZO4KGESs6LTJ8xclIlIQokYNU7FxeGeJja1nmBT23GqjV3DHs8IjhoKITnMjE6TeSEjQFEUeq0DdFosdJhNdJktdFhMdA5dd5kt9AxYPEHkXDvMflJatXroDV6Ln1b3kW6FBj+NFr1Gg16jcXc7hrobWpXK87FapULF2Y90XSg4XS6crpPdlqEui8uF3eXydGUGnY6hLo3Tc22x2xlw2LHYz7yH0fkK1us9ASU6MJDYoGDPdYznOojowED8tPI7PhLqTN1sbXMHlL0f6aIEafUsjM1macIkFsfl+NSS+OOBhBIxoqxOOzs7aljfUsHmthPDzpTRqtTMiEplaUIuS+MnkRrsmzsNXygnOxtN/QZaTUZajEbaTCZaTUbaTEZajUbazKbz7mAE6XREBgS6OwL+/sO6BWGn3A7R+xHi5+fpMgTp3UMi46Vz4HS5GHA4PJ0e8+Ag5sFBjIM2Tyfo1M6Q0Waj1zpAn9VKz4CFXqsV13m+LEYFBJIQHExCSAjxwSEkBJ+8DiYpNJT44BC0allQ67OwOAbZ3VnLptbjbG47Qdcpc1HUqCiOSmFZwmSWJU6WjuwYIKFEXHBGu5UtbZWsb6lgW3slllN20Q3V+bM4LoeLEiaxKDabUL2/Fysdf2wOB/WGPur7+mgy9tPYb6C530Bjfz9N/QZMg4Of6OtE+gcQHRRETGAgMYFBxAYFER0YRExQEFEBgUQGBBAZEECEf4AczX9CLkWh32alZ2Bg6GKhy2Kh02Kmw2ymy2Ie1pEaPMPmjh+lUalICAkhOSSM5LBQkkPCSAl1384IjyQqIEDmSpwHl6JQ2tvCpjZ3QKkwtA97PC8snksSJ7M8MY8cmYfiFRJKxAVhttvY0Hqc95uPsb2jethuugkBoSxLnMwlCZOZHpUqZ8p8DJei0Go0UtPbQ21fL7V9vZ7bzf39Z9lU/kPRgYEkhoQSHxxM4skj75CQoY9DiQkKGjfdi4lKURT6rFbaTEZaTEMdLeNQR2uou9XS3/+xwSVE70dmRAQZ4RFkDF1nRkSSER5BgG5irYY6EpotfWxqPc76lgr2d9cPG67MCI7isqQCLk8uICc01otV+hYJJeJTszkdbG2v5L2mUja1nhi2q25mcDTLh4448sMT5IjjDFyKQouxn8qebiq7u6ns6eZEdxfVvT3nnN8QovcjLTyclNAwUkJDSQodOnoODSUpJFTejCYIl6LQaTbT2G+gaagTdvJ2g6GPFuPZA6oKSAkNIzsyipyoKCZFRpMdFUV2RKT8fpxFr83CpjZ3QNnRUT0sEE4KjeWq5ClckVxIUlC494r0ARJKxHlxKi72dNaxuvEo61rLMdo/XMo+IziKK5ILuTQpX44sPsJos1HR3Ul5ZycVXZ2Ud3VS2dN91vChU6tJCwt3H/0OHfm6j4ilZS/cTg7l1fT2UtvXQ01vL3VDXbVeq/WMn3MyrEyOjmFydAx5MTHkRceQEjqxd+w9Xya7jc1tJ1jTdIxtHVXDOr/FkSlcmVzIZckFRPkFebHKiUlCifhYiqJQZmjj7YbDrGkqHTZRLD4glCuSC7kyuZC8sHiff2FTFIV2s4nSjnZKOzo8AaSx//RNAcEdPjIiIpkUGXXKUW0UqWHh6GSIRXxK3RaLp/NW1dPt6cb1WAfO+PxgnZ7c6GjyomMoiImlMDaOnKhoGebDvevxupZyVjeVsqez1tOd0qhUzI3J5JqUIpYlTiZQFmu7ICSUiLNqG+hnVeMR3m44QrWx03N/mC6Ay5LzuTJ5CjOiUlH7aBA5NYAcHQohpR3tdFpO36YdICE4xH10OnTJjY4mTcKHGEXdFgsnursoHwrLFV2dVHZ3n3Huil6tITc6msLYOIpi4ySoAB0DRtY0H+O9plKO9DZ77g/U6lmRmMe1qVOZHZ3us6+JF4KEEjGM2THI+pZy3m44wu7OGs9RgV6t4ZKEyVydUsSCuCyfXHzIPDjI0Y52StpaONzWxqH2VjrMpwcQjUpFdmQUhbFx5MfEkhcdw+ToaML9A7xQtRDnZnc6qenrdXf1Ojs41tnB0Y52+m22056rV2vIj4llWkIC0+LiKY5PJDk01Cc7pPWmHt5tPMI7jUeGLdaWEBDK1SlFXJNSRFZojBcrHJ8klAgUReFAdwNv1B/ig+Zjw07hnRmVxjWpRVyamO9Tp+8qikJNbw8HWls41NbKofY2TnR3nbYOhVqlImcogEwZOprMi46RyYRiXFMUhcZ+g6cL6O4EnjmoRAUEMC0+gWnxCRTHJzItPoFAH/r9VxSFQz1N7uHt5mP02z+czzMlIpEb0oq5IqnQp14/PwsJJT6s22bmjfoSXq8rof6UnXdTgyK5NtWd9H1lMSGHy0VZZwd7m5vY19LE/pbmM04WTAgOoXjoBXhqfDyFMXESQIRPUBSFBoOBQ+2t7qDe1kpZZwd2l2vY8zQqFfkxscxMTGJOUjKzk5J9pktoczrY3HaCdxqOsLW90rN1hp9ay4qkPG5Jn8GMqFSf7Cx9UhJKfIyiKOztquPl2gNsaCnHPvRHE6jRcVlyATemFVMcmTLh/2icLhdlXZ3sbKxnd1MTB1qaMdmHLzzmp9EyNS6e4gR3CJkWl0BccLCXKhZi7LE5HJR1dlAyFFIOtrXQYjSe9rzcqGjmJCUzLyWVuUkphPlP/K5Bt83MqsYjvF5XQtUpc/KyQqK5JX0G16ZOJUzvG2HtfEgo8RFGu5W3Gg7z35p91Jq6PfcXRSRxc/p0Lk8unNBbfSuKQm1fLzsbG9jR2MDupkYMtuGdkBC9n+foblZiEgWxcT49qU+IT6PZ2M/+lmb2Njext7mJ6t6eYY+rVSoKY+OYn5zK/JRUZiYm4q+duN1GRVE40tvMa3UHWd1UysDQ8LifWsuVKYXckTmb/PAEL1c5dkgomeAq+zt4qWYf7zQc9swVCdTquTplCremzyQvPN7LFY6cngEL2xvq2dZQz87GelpNpmGPB+v0zElOZl5yKnOSkpkcHYNG9hkR4oLqtJjZ19zMnuZGdjY2nBZS9BoNMxKSWJCSypK0dPJiYifs2StGu5VVjUf5X+0Bjvd/uMR9cWQKd2TOYnlSvk+eRHAqCSUTkMPlYmPrcV6q2cuerjrP/VkhMXwucxbXphQRpPPzXoEjxOFycbi9la31dWypr+Noe9uwFS/1ag3TExKZn5LKgpRUpsTFy2ZnQoyyNpORnY0Nnq5lu3n4wUJ0YCCLU9NZlJbOotQ0IgMm3i6+JyfHvlSzjw+aj3mG0aP9grg5fQa3ZswgLsD33rtAQsmE9Lkt/6KkpxFwTzq7OGEyd2TOYnZ0+oSbK9JpNrOproat9XVsb6w/7eyAydExLE5NY0FKGjMTk2RSqhBjyMmz3HY0NrC9oZ6dTQ3DVjlWAVPi4lmSls5FaRkUxcVPuG5mp9XEq3UHeKX2AB1W93wcjUrFcwvvYkZ0qperG30SSiagp49v5fmqPdycMYNb02eQEBjm7ZIuGEVRKOvsYENtDRvrajjS3jbs8TA/fxamprI4LYNFqWnEB4d4qVIhxPmyORwcbG1hS0MdW+vrqOjqHPZ4VEAAF6VncnFGJgtT0gjxmzgdX7vLyYbWCl6q2UedqZv1lz7gk0M5EkomIItjEK1KjV4zMbactzrs7GhsYGNtDZtqa2j7SLt3SmwcF6VnsGToSEqGZISYGNpNJrY21LGlrpatDXWYBj88Q06nVjMnKYWLMzK5JCOLlLCJc/DVNzhAuI+emSOhRIxJVoedzXV1vFd1nI21NcNaugFaLQtT07g4I4ul6RnEBslpukJMdHank30tzWysrWFDbTX1hr5hjxfGxHJ5ziSuyM4lLTzcKzWKz05CiRgzzhVEEoJDWJaZxcXpmcxNTsFPOzG6QL5MURQcThcDdjs2u4NBhxOH04XT5cLudOFwunC4XDiH7jsnlQqdWo1W8+FFM/SxTqPBT6vFX6/FT6tFrZ5Y86p8VU1vjyeg7G9pxnnKW5IElPFLQonwqkGnk631tbxzouK0IJIUEsoVOZO4InsSRXGyA/FYMuhw0Ge2YrBY6bNYMZgH6LNYMQ3YMNkGMVsHMVptmK2DmKyDmG3ui3XQgdVux2p3YB10nLZs/2jw02rw02nx1+vw12kJ1OsI8tcT7K8nyM/Pfe2vJ8TfjyB/PaEBfoQHBRAe6E9YkD/hgQEE++vl93EM6bZYWFtTxXuVx9nd1HhaQLlyUi5XT5pMYoi8H4x1EkrEqHMpCnubm3jneDlrqiqHLWImQcR7bHYHHQYTXUYzXUYLXf3u626Tme5+C11GM90mC31mKwOD9o//gudBrVKh12qGdTi0p3Q61GoV5/pNcCngcDpxuIY6LENdFofThd3p7sBcSFq1mtBAfyKC/IkOCSIqJIjo0MCh2x9ex4UFExboL7/Ho+hcAWV2YjLX5E7m8uxJRAT45pyNsU5CiRgViqJwrLODd46X8+6J48Mmq8YFBXPVpFyuysmVIDJCXC6Fjn4TzT0GWnqNtPcZaesz0W4w0j503WMaOK+vqVapCAv0JyzQn/Ag93VogL+n6xDsP9R18NN7rk92J/x1Q8MpOi0BOh1ajXpE/9+dLhc2uwOr3YHN7mBg0DH0sR2Lze7p7pisg5it7m6PacDd7ekf6gb1mQcwWKxY7Y7z+t7+Oi1xYcHEhYcQHx5MXFgIceHBJISHkBgZSlJkGAF6OVV9JJwMKKuOV7CnudGzbpFWrWZxajrX5E5mWWa2T20gONZJKBEjqtVo5K3jZbxZXkbVKSs5hvr5cXn2JK6ZNJnZSckTbu0BbxgYtNPQ1Ud9Zy9N3Qaae/pp7jl53Y/d6fzYr+Gv0xITGuQ50o/yHPm7j/4jQwKJCAogLNCfEH8/n5yfYbU7PAGlx2Sh2+i+dBnNnusuo4Vuo/kTB72okECSIsNIigwlOTKM5KgwUqLDSY8JJzokSIL6BdBi7Gd15XHeOV7Bsc4Oz/2BOh2XZeVwQ14Bc5NTJuxqsuOFhBJxwQ3Y7XxQXcUb5cfY0VjvOTrx02i5JCOTa3InsyQtQyarfgoul0Jzj4Hajh7qOvto6OqlrrOX+s4+2vpO3wjtVFq1mviIEJIiQokLdx+tx4eHEO85ig8hNMBP3gAvoEGHg3aDifY+E219RtoNQ9d9Jlp73WHRaLWd82sE+ulIi4kgPTqCtJhw9+2YCDLjIgn0m7j7VY2kqp5uVp2o4J3jFcPO4kkIDuH6yfnckJdPZkSk9wr0YRJKxAWhKAoH21r437FS3qs8jvmUCauzEpO4Ia+AK7InTajFjkaSoii095k40dbFiZZOqtq6qWnvobaj55zDB2GB/qRFh5MSHU5SZBjJkaEkRYWRHBlGbFgwWo10pMYag8Xq6Wi5O1wGmroNNHT10dzTf87JwAkRIWTFRZEVF8WkxGhy4qPJjIvETyeB/5NQFIWStlZeLz/G6srjw1aEnhaXwE35BVw9abK8bo0iCSXiMzENDvJWRRkvHD3Mie4uz/2poWFcn5fP9ZPzSQ0L916B44DLpVDf1UtZUwflTR2UN7svxoEzH0H7aTXuo+XYCM9Rc1pMBGnR4YQHyeS9icTucNLYbaChy90Nc3fFeqnt6KHLaDnj52jUKjJiI8lLiiUvOZa8pFgmJ8UQ7C9vrOdiczjYUFvN6+VlbK2v9UyQDdTpuDY3j89PmUpeTKyXq5z4JJSIT6W8q5MXjx7m7YoyT1fEX6vlypxcbs4vZFZikgwDnIGiKNR39XGkvpWypnbKmzqoaOnEYjv9bBatWk16bAQ58dHkJESTFR9FdnwUSZGhMgdHYLBYqW7rpqq9m6rWbirbuqhs7cJgsZ7x+ekxEZ6gUpgaT0FyHIF+MsHzTDrNZt4+Xs4rx44O29V4RkIid0yZyuXZk2T4eYRIKBGfmM3hYE1VJS8ePcSB1hbP/ZkREdwxZRo35uUT6ufvxQrHnj7zAEcb2jhS38rRhjaONrTRf4YOiL9OS25iDHnJseQPvXFkxkWilxc+cR4URaGj38zx5g6OndJ5O9N8I7VKRU5CNFNS4ylKjWdKWjyZsVE+OXn5bBRFYU9zEy8cOcTamiocQ4v4RfoHcFNBIZ8rLJJO8AUmoUR8rHaTiZdKD/PS0cN0D7jPJtCq1SzPzObzU6YyNzlFuiK4X8DqOnspqW3hYG0zh2pbqO/qO+15flqN+2g1JZ785Fjyk+NIj42Q7ocYMT0miyegHGts50hDGx0G02nPC/bXMyU1nuKMJKZnJDIlNUG6KUM6zCZeOXaUl0uP0Gpy/+xUwNL0TL44rZiFKWnyOngBSCgRZ3WorZV/HzrImqoTniOE+KBgbiss4taCKcQF+/aeM3ank/KmDk8IKaltodd8+img6TERTEmNdx+RpiUwKTEancb3dv8UY0u7wcTR+laO1LdypKGNsqZ2BgaHT6LWqFXkJcUyPTOJ6RlJTEtPJCok0EsVjw0Ol4tNtTW8cPQQ2xrqPffnREbxhanFXD85X9Y9+QwklIhhBp1O1lSdYOWhgxxub/PcPzMxibumFrM8M9tn31AdThflzR3srWpkX1UjB2ubT3sR99NqmJKWQHFGIsXpiRSlJRAWKENaYuxzOF1UtXVxqK6Vg7XNHKxppv0M3ZSsuEhmZacwOzuFWVnJPj25uqa3h/8cLuH18mOeuXWhfn7cVjCFO4uKSZL3n/M2JkPJo48+yhtvvEFFRQUBAQHMnz+f3/72t+Tm5n6iz5dQcv76rAO8ePQIzx8pocNsBkCv1nB17mS+MLWYKbFxXq5w9LlcCidaO9lb1cTeqgYO1DRjsg4Oe05YoD/FGYlMz0iiOCOR/ORYmQciJozW3n4O1DR7uoFVbd3DHlepYFJCDLOyk5mTncKMzGRCAnzvLJ9+m43Xykr5z+ESGvoNgHvOzvLMbO6dPoMZCUlernD8GJOh5LLLLuO2225j1qxZOBwOfvKTn3D06FHKysoICgr62M+XUPLJtZmMPHvwAP8tPcyAw33UHxMYxOeLpnJbYRExgR//855I+ges7Dxez7byOrZX1NFjGn7aZUiAHzMzk5mdnczsnFSy42RioPAdfeYB9lc3sbeqiX3VjaeFFI1axbT0RBbnZbAoL4Ps+CifmmfhdLnYXF/LykMH2dHY4Ll/RkIiX581lyVp6T718/g0xmQo+ajOzk5iY2PZsmULixcvPu1xm82G7ZRFb/r7+0lJSZFQcg4Nhj7+fmAfr5cdY9DlXn48LzqGe4tncuWkXPQ+MkSjKArV7d1sLatlW0UdJbXNOF0f/moH+umYkZnM7KxkZuekkJsYIxNShRjSZTSzv6qJvdWN7K1sPG1id0JEiCegzM5O8ak9fk50d/GvkgO8VVHueY0tiInl/plzuCw7R5azP4txEUqqqqrIycnh6NGjFBYWnvb4Qw89xMMPP3za/RJKTlfZ3c1T+/ew6kSFZ3GgmYlJfH3mHBb7SIp3OF2U1DazsbSaTceqae7pH/Z4ZlwkiyZnsDg/g+L0RHRa3whoQnxWTd0GtpW7A/7eygZsjg/3W/LTapg7KZWLC7NZkp/pMxNm200mni3Zz0tHP+xGZ0VEcv/M2VyTm4dWDnKGGfOhRFEUrr32Wnp7e9m2bdsZnyOdko93oruLv+zdzerK4569aJakpXP/zDnMTkr2am2jYWDQzs7j9WwsrWZLWc2wBab8tBpmZaewKC+DRXnppESFe69QISaIgUE7+6oa2Vpex7byWlp6Pwz/KhUUpydycWE2FxdmkRId7r1CR0nPgIXnDpfw3OESz3L2aWHhfH3WHK6bnC/hZMiYDyVf//rXWb16Ndu3byc5+ZO9ecqckg+dKYysyMrm67PmTvjJq8YBG5uPVbPuSBW7TtQP2zMmPNCfJQWZXFyYzbxJqT7VVhZitCmKQlVbN5uOVbOxtJpjje3DHs+Oj+KSKdksL8phUkL0hO7YGm02Xjx6mH+W7Pes+yTh5ENjOpR84xvf4K233mLr1q1kZGR84s+TUHLmMHJpVg7fnD13Qu/fcDKIfHD4BDuPN2B3ftg+TooMZWlhFhcXZlOcniib0wnhJW29Rk9A2V/d5FkHCdzr+qyYOokVUyd2QLHY7bxw5BDPHNhHj1XCyUljMpQoisI3vvEN3nzzTTZv3kxOTs55fb4vhxJFUfju2jW8fbzcZ8LIuYJIVlwky4tyWOYDR2BCjEcGi5Wt5bWsP1LJ9oo6Bk+Zh+ILAeVM4SQ1NIw/XnYlU+MTvFzd6BuToeRrX/saL730Em+//fawtUnCwsIICPj4hXp8OZQA/GjDWl45dnRChxG7w8nW8lpWHShna1ntaUHk5AtZdny0F6sUQpwPk9XGlrJa1h4+cVpAyYyL5Mrpk7l6Rh4JERPvdf3UcGJx2Nly170+tyQDjNFQcrY0/O9//5u77rrrYz/f10NJi7Efg9U6IcNIRXMHb+8rY/XBimFLumfGRXKpBBEhJoyzBRSVCuZkp3Ld7AIumZKNv25iLVZosds53NbKvJRUb5fiFWMylHxWvh5KJpo+8wCrD1bw1t5jVLR0eu6PCQ3iqumTuXJGHrmJMV6sUAgxkowDNtYfrWLV/jL2VTd57g/213PZtFyum11AUWr8hBze8TUSSsSYpCgK+2uaeW3XUdYdqfQMz+g0GpYWZnLtrALmT0qTyapC+JimbgPv7C/j7X1lw04zzkmI5qa5U7hqxmRCA2S/qfFKQokYU/rMA7y9v4zXdh2lrrPXc39eUizXzS7giuJcn94ATAjh5nIp7K9p4q29x1h7+IRnoTZ/nZZLp03iprlTmJqWIN2TcUZCifC6s3VFAvQ6rpiey81ziyhImdhrqkwUiqJgtgxiNFsxmqz0m6xDt22YLDYGrIMMWO1YrXYGbPYPb1sHGXQ4cdid2B0uHE4nDocLu8OJw+nCccqExzNRq1XotBq0Wg1ajRqtVoNO677WatUE+Onw99MR4K8jwF9/ym0dgQF6QoP9CQnyJyTYn5Agv6Frf3Q6Wc13PDBYrLx7oJzXdh8dth+PdE/GHwklwmsstkHePVDOf3ccHvZCkpcUy03zpnBl8WSC/PVerFCAO2j09Q/Q0W2kq8dEb5+FHoOZXoOFnj4LvQYzPX0W+vot9JusuFxj9qXhvAX46wgPDSAiLIjI8EAiwgKH3Y4KDyImKoSYqGD0E2zC5XikKAqH61p5dfdRPjh03NM9CdDruHpGHrctmEpOgkyEH8sklIhRV9/Zy8s7D/P23jKMVvdyywF6LVcUT+bmeVMoSIn3coW+xW530tppoKXdQEt7Hx1dRjq7TbR399PZbaKz28ig/dydio/S67XujsOp3YcgfwICdO6uxVDHIuCUjoVepz2tw6HVuD/WaNTnbMM7XS4cDndHxeEc6rAMfWx3OLHaHJ4uzYDVjnWoSzNgHcQ8MIjRZMVotg1dWzFbbJzvK1xEWCCx0SHERrpDSmx0CAmxYSTGhZEYF05osL8MJYyik92TV3cdobq9x3P/rKxkbl84jaUFWTInbQySUCJGhaIo7K9uYuXmA2wtr/Xcnxodzm0LpnLtrHxpr44gl0uhvauf2sYu6pt7aG7to7G1l6bWXjq6jR/7BqxSQWRYENFRwUSFBxEeFkhkWCCRw24HEhoSQEiQP3768d01cDpdnrDSa7AMdYXMw657DRa6ekx09JgYHHR87NcMDvQjKSGc5PhwkhMiSEmIID0lirSkSAKkIzhiTr72/HfHITaWVnt2AY8LC+bzi4q5ce4UQgL8vFylOElCiRhRLpfCxtIqnt24z7PfhUoFiyZncPvCacyflIZaLUePF4qiKLR39lPT2EVtYzd1jd2eIDJgtZ/18wL8dSTGhpEQF0Z8TCixUSHERIW4j/yjQoiOCJb5FWehKAr9JisdXUY6uo0fXncbae1wd6C6ekxn/XyVCuJjwshIiSIjJZr0lCj37eQo/PxkT6YLqa3XyP92H+H13UfpMbnXOQry03Pr/CLuXDKd6BDfW6xsrJFQIkaE3elkTclx/rlxHzVDrVN/nZZrZxVw5+Ji0mIivFzh+Odwuqhv6qaytoPK2g5O1HZQWdeByWw74/N1Wg2piRGkJUcNHam7j9iT4sOJCAuUoYURZLPZaW430Nzm7lA1t/VR3+wOjX39A2f8HI1aRWpSJDkZseRkxDIpI46c9BhCQ+Tss8/KZnfw3sEKnttywDO046fVcP2cQu6+aCaJkfK+4S0SSsQFZbU7eHNPKSs3H/CsIRAS4MfnFk7jjoXFRATLC+qn4XIp1Dd3U1bZSlllG8er26hp6DrjXA+tVk1aYuTQEXc0GSlRpCdHkZQQIWPoY1CvwUJtYxd1Td3UDnW2zhVW4qJDmJQZR35OAnnZ8eRlxxMUKMMPn4aiKGwtr+WZ9Xs5Ut8KgFat5orpk7nn4plkxkV5uULfI6FEXBBm6yAv7zzMf7YcpMdkASAqJJAvLJ7OLfOLCPaXF83z0d1rHgog7kt5VRuWgcHTnhcYoCcn/eSRtPs6PTlKhlrGOUVR6O41c6K2nRO1HVQNdcJa2g2nPVelgrSkKPInJZCfk0BBTgIZqdESQM/DyXkn/9iwl10nGgD3z/WSwmzuvWS2LEkwiiSUiM/EbB3kvzsOsXLzAQwWKwCJEaHcvXQm180umHD7UowERVFoau3jcHkTR8qbOFzeTHNb32nP8/fTMjkrnvycBCZnx5ObGUdCbJjMyfEhJrONqroOKqrbKa9yB9bWjv7Tnhfgr6MwN5GpeckU5SVRkJMg81M+odKGNp7duI8NR6s8912Un8lXV8yVcDIKJJSIT+VMYSQ9JoJ7L5nFFdMno9PIkfrZuFwK1fWdlBxr5EhFM0fKm+jpswx7jkoFGSnR5OckeC7pKVFy9CtO09Nnpqyy7ZSuWitmy/CumlarZnJWPEWTk5ian8zUvGSCg6R7eS5VbV08u2Efa0qO4xp6u5NwMvIklIjzYrEN8tL208PIl5fP4fJpufKmeRZtHQb2HKpj/5F6So41njZfQK/TkJedQFFeEkV5SUzJTZI3DfGpuFwKNQ1dwzpvHz37R6NWkZsVz4wpqcyels6U3ES0WjmQOJPajh6eWb+H9w4ODydfu3QeeckTbyd2b5NQIj4Rh9PFG3uO8re1u+k2uo/qJYyc3aDdwaFjTewuqWVPSS31zT3DHg/w11GUl8S0/BSK8pKYnBU/7tf2EGOToii0dhg4XO7uypWUNtL0keHBwAA9M6akMrc4g7nTM4iLltfNjzpTOLm8OJdvXr6A5KgwL1c3cUgoER9re0Udj7+zxXPqXEpUGPdfOk/CyEf0GwfYeaCG7fur2VNSO2xdEI1aRf6kRGZPTWNGURr52fFyZCq8pq2znwNH69l/pIF9h+tO69xNyohl4exsFs3KJjs9Rk4XP0VtRw9Prd3NmpLjAOi1Gj6/qJj7ls2WCf0XgIQScVZVbV08/s5WdhyvByA80J+vrpjLLfOK0MkbKgAt7X1s31fNtr1VHClv8qwWCRAdGcy86RnMmZbBjKJUQoJkxVox9rhcCidq29lTUsfuklqOnWgZtn9RXHQIC2dls3BWNsUFyRKmh5Q3dfDEu1vZU9kIQGRwAF+/bD43zC6Ug7XPQEKJOE230cLfPtjFa7uP4lIUtBo1dyx0HwmEBcoba31TN5t2nWDTrhNU13cOeywrNdpzhJmbFSdHmGLc6TVY2HWghm37qth7qA7bKUvoBwf6sWBWFkvn5TJ7WprPb0J4cp2Tx9/ZSl1nLwDZ8VE8eM0S5uemebm68UlCifAYdDh4YWsJ/9iwF5PVPXt/2ZRsvnPVIlKiw71bnJd5gsjO41Q3dHnu16hVFOUls2h2NgtmZpEUH+69IoW4wGw2O/uONLB9XxU79lfTa/jwLLGgQD0LZ2VLQMG9gvX/dh7hqbW7PScALJyczoPXLJYF2M6ThBIBwNayGn779hYauvoAyE+O5cFrljAzK9m7hXlRU2sv67dXnB5ENGpmFaWxdP4kFs3KlmW/hU9wOl2Unmhh084TbN59YtgZPUGBehbOzObiBbnMmZbus0M8BouVv6/bw3+3H8LhcqFVq7l94TTuXzFXNv37hCSU+LiGrj5++9Zmz869MaFBfOuKBVw9I98nF+XqNVjYuKOCD7aWU1bZ6rlfgogQH3K5lKGAcpxNu4YHlLCQAC5ZkMuKxfkUTErwySHM+s5eHl+1lc3HagD36tYPXLGQa2b65uvq+ZBQ4qNsdgf/2LCXf23cj93pRKtRc+fi6Xxl2RyCfGwbdYfDya6Dtby74Si7D9Z4Jquq1SpmFqVxyYJcCSJCnMXJgLJxx3E27qwYthBgUnw4Vywt5IqlBcREhXixSu/YXlHHb9/a7JlvUpSWwC9uXsakhGgvVzZ2SSjxQQdqmnjof+s9fygLJqfzg2uXkBEb6eXKRldrh4G31x5mzaZjdPeZPfdPzopjxeJ8LlkwmagI2cpciE/K4XRx8GgDH2wtY+ueSs9p8Wq1irnFGVyzfCrzpmeg8aGzU+wOJy9uK+Gpdbux2Oxo1WruvngmX1k2Bz8fnodzNhJKfIjJauP3727j1V1HAYgOCeRH1y9leVGOz7RYXS6FvYfreGNNCbsO1nDytzgiLJDLluRz5SVTSE+WiWlCfFYD1kE2767k3fVHOVze5Lk/ITaUa1dM5cqLpxARFujFCkdXu8HEb97YyMbSasC9+OTDtyxnemaSlysbWySU+IhdJ+r5xf/W0dprBODGuYV8+8pFPnOKb79xgNWbSnnrg8PDNrubNTWN61ZMZcHMLJ+dnCfESGto7uGd9UdYvbEUo8l9dopep2Hp/FxuuKyY/Jx4nzkwWn+kkkfe2EiX0YJKBXcsKuably8gQC8bJoKEkgnPZLXxxKptvLbb3R1Jigzll7euYHZ2ipcrGx2VtR28+t5B1m+vYHBovYXgQD8uX1rA9ZdOIzXJt4ashPAmm83O+h0VvPH+IY5Xt3vuz82K44bLprFsYZ5PbLfQP2Dlsbe38ta+YwCkRYfzy1tXSNcECSUT2ke7I7cvmMYDVy4g0G9iT2R1uRR2HazhlVX7OVja6Lk/Oz2GGy4rZvmiyQT42GReIcYSRVEor2rjjfdL2LjjOIN2J+AeRr3hsmlcd+k0nxja2VZey0OvrqfDYJKuyRAJJRPQmbojv7p1BbMmeHfEarOzZtMx/rf6AI0t7km8GrWKi+blctMVxRTmJvpMi1iI8aKv38K7G47yxppDdHS7D6D0Og2XLsnnlqtmkJEysc9U6R+w8vg7W3lzr3RNQELJhDPocHD9Y897FkHzhe5Id6+Z1947yNtrD9M/NF4dHOjHNcuLuPGKYtnxVIhxwOFwsnl3JS+/s4+KU4Z25hSnc9vVM5lZlDahDyo+2jX53eev4LJpud4ua9RJKJmA/vbBLt7ZXzbhuyO9BjMvvLmXNz847JkvkhgXxi1XzeCKpYUEBkzcICbERKUoCkcqmvnfqgNs3VvpOUMuPyeB+25fyMyi1AkbTk52TXadaOCN793pk6vASiiZgOwOJ3anc8J2R/qNA/z3nf289t5BzzoIhbmJ3H7tLBbOzPKpNRCEmMia2/p4dfVBVq0/4tkYcFpBMvfdtpCp+RN3CwyDxeozZ0Z+lIQSMW6YLTb+9+4BXl61H7PFvWHg5Kw47rt9IbOnpU/YoychfF13r5kX3tzDWx8cxu5wT4qdPS2d+25fQF52gperExeShBIx5g1YB3l9TQkvvbXPM2ckKy2G+25fwIKZWRJGhPAR7V39/Of1Pby74ShOpwuAhbOyuOe2BeSkx3q5OnEhSCgRY5bD6WL1hqP865WdnmXgUxMjuee2+SydlysbWwnho5rb+lj56i4+2FqGa2ivqksX53Pf7QuIjw3zcnXis5BQIsYcRVHYsb+ap57fSn1zD+BemvpLty5g+aI8tDJnRAgB1Dd1889XdrJx53EAdFoNN15RzBdumCMbaI5TEkrEmHLsRCt/+88Wz14ZocH+3HXzPK67dCp62bzK5yiKgtPhwm53nPN5arUanV6DWi2B1RdVVLXxt+e3eBZLDA7y4ws3zuXGy4t9YoXYiURCiRgT2jr7+etzm9m06wQAer2WW66czh3XzyYkyDdnoU8EVssgPV1Gujv66e0xYzRYMPUPYOq3YuofwNg/gKl/ALPRinXAjn3QweCgg0Gbw33b5uB8Xmp0Og06Py06nRa9n/ui02sJCvYnOMSf4NAAgkMDCAkLGLrtT1h4EFGxIURGhxAaESjBZpxSFIXdJbU89fxWahq6AIiLDuFrX1jCxfNzZe7ZOCGhRHiVw+ni1dUH+OfLO7DaHKhUcPnSQu69bQGxUSHeLk+cg8PupKOtj7amXlqbemhr6qWro5+ejn56ukx0d/ZjMdm8XeZ50WjVREQFExUT6gkqcYkRxCdHEJ8cSUJyBMGhMiwwljmdLj7YUsY//rudzh4TADOL0njwK8tJig/3bnHiY0koEV5TUd3G755ay4naDgCK8pL49r2XyCz6MURRFDrbDDRUd1Bf3UFTXZcngHS0GXANnQFxLv4BeqJiQ4iICiYkLJDg0FM6FkPdiqCQAAIC9ej17s7GyQ6H3k+LXq9Fq9Oc80jX6XR5uisnOyzujoudQZsDs9GKyWgd6tJ82KEx9Q9g6LXQ02mkr8f8iboywaEBJKS4A0piShSpWTGkZsaSkhGDn7/v7lky1thsdl56ex/Pv7GHQbsTP72WL906n1uvmiE7go9hEkrEqLMMDPLPV3bw6uqDuFwKIcH+fP0LS7jy4kJpsXqRoddMVXkLdZXt1Nd00FDVQUNNJxbz2bsdej8t8UnuLkJ8UgSxCeFExrg7DZExIUTGhBAY5Dcu/l8ddie93SZ6Oo2eIaeujn7am3tpbeqlramHvh7zWT9frVYRnxxJWlYsaVmxpGbFkJmbQEpGjCzo50WNLb08/sw6DhxtANwbc/7g/hWyvskYJaFEjKpdB2t44pn1tHX2A7Bs4WS+efdSIsODvFyZbzH0mqksa6HyWDOV5S1UlTXT0Wo443M1WjVJadGkZsaQmhlDYkoU8ckRJCRHEhEd7FNzMAYsNtqaemlrdg9ZNdV1ebpIRsPAGT/Hz19HVl4COXlJ5OQnkp2fKEFllCmKwvubj/HnlZvpN1lRqeCmK6Zz3+0LZTuKMUZCiRgVPX1m/vivTWzYUQFAfEwo3/3yMuZNz/RyZROf0+Gk5kQ7x0rqOVZSz/GjjWcNIElp0WTmxpOaGUNadhxpWbEkpkaikzOfzklRFHq7TZ6A0lDdSV1VOzXHWxkYWn34VH7+OrLzEikoTiV/Whr501IJDQ/0QuW+pddg4S8rN/PB1jIAYqND+O59y1gwM8vLlYmTJJSIEaUoCuu3V/CHZzfQb7KiVqu4+crp3HPrAjlCGSEDFhsVR5o8IaTiSOMZ3xiT0qLJyU8kp8B9BJ81OYGgYDnT6UJyOl0013dRWdZCVVkLlWXNVFecOaikZsVSMC2VguI0CqanEZ8UMS6GvcajvYfqeOzv62jtcIfz5YvyeOCeiwmTtU28TkKJGDE9fWYe+/s6tu2tAiAnI5Yf3L+CyVnxXq5sYnE6nJQfaaRkdzUle6qpONJ02gTUoBB/8qemUlCcSt60VLLzEiWAeMnJoFJxtImyknqOlTTQWNt52vNi4sMonptF8ZwsiudmER4V7IVqJy6rzc6/XtnJy6v243IpRIYH8uBXVrBodra3S/NpEkrEiNhTUsuv/vQeff0DaDRq7rppLnfeMEdmvV8gRoOF/dsr2bP1OPt3VGLqHz6fITYhzH3EPXRJy471qbkf401fj5nyww2UHqyn7FA9lcdacAxtPAegUqnInZLM7MWTmLN4Mpm58dJFuUCOnWjl0b+uoa7JvXr0NcuL+NbdS/HzkzOpvEFCibigHA4n//jvDl58ay/g3jjvp9+8XE7zvQB6uozsWF/GtnWllB6o8+z5ARASFuA+qp6bTfGcTOKTI71YqfisrAODHCupp2R3NQd3VVFzvG3Y49FxoSxcVsCiFYXkTU2RwPkZ2QYd/POVHfz37X0oCmSmRvPL715NenKUt0vzORJKxAXT1mHgoSdXU3q8BYDrL5vG//viRbLM82dwahA5ur9u2Doa6dlxzF6Sy5zFuUwuSpGzOSawrvZ+9m47zt6txynZXY3Navc8Fh0bysLlBSy+dAqTi5IloHwG+w7X86s/raanz4K/n5bv3LuMy5cWSFdqFEkoERfEjv3V/PrPazCarAQH+vHDr13KRfMmebusccnQa2bb2lK2rj09iOQWJrNoRSELl+VLN8RH2ax2Du6qYtu6UnZvrhi2au7JgLLksiImFyXLm+mn0N1r5ld/eo/9R+oBuHRJPg9+ZTn+MpwzKiSUiM/E6XTxz1d28p/XdwOQlxPPw9++isS4cO8WNs7Y7Q72bTvB+ndK2Lv1xLD5BJ4gsryA+KQIL1YpxppBm50DO88cUJLTo1l29TQuuXoaMbK8+nlxuRReeHMPz768A5dLISs1mke+fy3JCfL3N9IklIhPra/fwsNPrmbfYfcRxU1XFPP1L1yETieTWT8JRVGoLGth/TslbF5zhP4+i+ex7LxELrq8SIKI+MROBpSta0vZuaHMM8SjUqmYOiuDZdcUs2BZPgGBfl6udPwoOdbIL36/ip4+C8GBfvz0m5ezcJacnTOSJJSIT6WsspWfPv4OHV1G/P20fP/+S1mxKM/bZY0Lhl4z694uYe3bB2mo7vDcHxkTwsVXTmXZ1cWk58R5sUIx3lnMNravP8b6d0o4sq/Wc79/gJ6Fywu4/MaZ5E9LleGdT6Crx8TPnljF0YpmAO68YQ733LYArczhGhFjMpRs3bqVxx57jAMHDtDa2sqbb77Jdddd94k/X0LJyFq1/gi//8cG7A4nyQkR/Ob715CZGuPtssa8qvIW3nh+B9s+KMVudw/P6P20zFuax/Jriimem4VGTpkWF1hbcy8b3j3EhlWHaGno9tyfnhPHtZ+bxyVXTUUv8yXOyeFw8tf/bOHV1QcBmDEllV9992pCZbG1C25MhpI1a9awY8cOpk+fzo033iihZIxwuRSeeWkbL7zpPt138Zwcfvz1ywgOknbw2SiKwsFdVby2cjslu6s99+fkJ3LFTbNYfOkUgkJkETMx8hRFofxwI++/sZ8t7x/1DO9ERAVz7R3zuPKW2YSEypvsuazfXsFvn/qAAaud1MRIHv/pDTJ/7gIbk6Fk2DdSqSSUjAF2u5Pf/PV91m0rB+DuW+bxpVvmS/v3LJwOJ1s+OMprK7d71phQa9QsXlHI9XfOJ7cw2csVCl9m7B9g7ZsHePOFnXS1uzfH9A/Qc/mNM7n+zvnEJoR7t8AxrLq+kwcfeYOObiMRYYE89pMbZJXqC2hChBKbzYbN9uGs8/7+flJSUiSUXCAD1kF+8tg77D1Uh0aj5gdfXcEVFxd6u6wxyelwsnH1YV56ZjOtje4VIv0D9Fx2wwyu+/x8mbQqxhSH3cnm94/w2srt1FW2A6DValhx/XRuvWcxcYny+3omnd1GHvzNG1TVdRLgr+P/fng9M6akerusCWFChJKHHnqIhx9++LT7JZR8dgbjAA8+8gZlla34+2n59YPXMrc4w9tljTlnCiNhEYFcd8d8rrp1NiFhsgOsGLsUReHAzipe/ddWDg9NjJVwcm5mi40f/fYtDpY2otNq+MUDV8raTBfAhAgl0ikZGR3dRr7zy1epa+ohJNifx358A4W5id4ua0w5Wxi56a5FXH3rHPwDZSdkMb6UHqjjhac3cmhPDSDh5Fxsgw5++eRqtuypRK1W8b0vL+ea5UXeLmtcmxCh5KNkTslnV9/Uzbd/9RodXUZiIoN54mc3kZka7e2yxgyn08Wm1Yd58e+bJIyICels4eT2+y4iJj7My9WNHU6ni8efWceq9UcB+PLnFnLnDXNkvt2nJKFEnKa8qpXv/foNDMYBUhIj+MPPbiI+Vl6EwN3m3rvtBP9+ci11Ve4xeAkjYiL7aDjR+2m57o553PylxXK2zhBFUXjmpe08/8YeAG6+cjrfuGsparUEk/M1JkOJyWSiqqoKgOLiYn7/+9+zdOlSIiMjSU39+MlEEko+vdITLXz74VcZsNqZnBXHYz+5kQiZDwFAa1MPf31kFft3VAIQHBrALV9axDW3zZUwIia80gN1rPzzOkoPuldwDosI5N7vXMaya4qlKzDklVX7+fPKzQBcvWwKD35lhQST8zQmQ8nmzZtZunTpafd/8YtfZOXKlR/7+RJKPp3K2g6+8fNXMFlsTC9M4f9+eD2BAfJma7c7eH3ldl56ZjODNgc6nYZr75jHrfcukSNF4VMURWHv1uP88w8f0FDTCcCUmel882fXkpIhCygCrNl8jEf/+j4ul8LNV07nm3cvldB2HsZkKPmsJJScv+a2Pu7/yUv09FmYMjmJ3//sRgL8JZAc3V/Ln3/9jucFeNqcTP7fT64hOV3m1wjf5bA7efP5nbzw9EZsVjtarYabv7SI2+5dgp+/rA67ZlMpj/zlfQDuu30hX7xprpcrGj8klAi6e83c/5OXaGk3kJ0ew19+eZvPr9JqNll59on3WfP6fgDCI4P48oOXs/SKqXLUI8SQtuZe/vbou+zdehyAxNQovvPw9RTOSPduYWPAa+8d5Ml/bgTgwa8s59oVU71c0fggocTHmcw2/t/PX6aqrpPEuDCeeuRzREUEebssrzqws5InH3qLzjYDAFfcPIu7v7VChmqEOANFUdi5sZynHn2Xro5+VCoV19w+l7u/udzn51o989J2/vP6btRqFb/67tUsmSvrmHwcCSU+zDbo4Lu/fo1Dx5qIDA/kqUc+R1J8uLfL8hqzyco/Hl/D+28cACAhJZLvPHw9U2bKYnFCfByz0co/nhj+9/PdX97g010TRVH43dPrWLX+CDqthid+diPTC2Xl13ORUOKjHE4XP3v8HbbtrSIoUM+fH76VSZlx3i7Laz7aHbn2c/PkSE+IT+HUvyXpmrjXMfn5E6vYsqeSwAA9f/mlb7/WfhwJJT7o1PSu12l4/Ke+m96tlkH+/th7nrkj0h0R4rM7U9fkwd/cRP5U33ydsQ06+N6vX6fkWCMRYYE8/Rvf7kqfy6d9/1aPYE1ihL2+poRV64+gVqv4xQNX+mwgaWvq4YE7/+4JJNd+bh5Pvfr/JJAI8RkFhfjzwEPX88jTXyQmPozWxh4evPtZVr28x9uleYWfXsujP7iOnIxYeg0WfvTbtxiwDnq7rAlFQsk4daSi2bO4z9fuXOKzE69KD9TxrTuepq6ynYioYH77zy9x/w+v9NkWsxAjYcb8HJ5+/RssuWwKToeLv/5mFX95ZBUOu9PbpY264CA/HvvJDUSFB1HT0MXvnl7HGB5wGHcklIxDPX1mfvb4OzidLi5ZkMutV8/wdkle8cGbB/jhff/G0GshJz+RP7/8NabOyvR2WUJMSEEh/vzwt7fwpQdWoFKpePeVPfz0a89h7B/wdmmjLjoimF9+92o0GjXrtpXzxpoSb5c0YUgoGWecThe//ON7dPeaSU+O5Af3X+pz6204nS7+8fga/vCLN3E4nCxaUchj/76X6DiZdyTESFKpVNzypcX8/MnP4R+g59CeGh644+801XV5u7RRNzU/ma9/YQkAf3luCxVVbV6uaGKQUDLOPP/mHvYfqcffT8uvvneNzy0fbzZZefhbL/L6f3YAcMdXl/Kj392Cv4/9HITwpnlL8/j9f+4jNiGM5vouHrjjaQ7urvJ2WaPu5iuns3hODnaHk589sQqj2ertksY9CSXjyMHSBv71yk4AvnvfMjJSfGuJ9LamHr5z5zPs3XocvZ+WH/3uVu782iWo1fJrLMRoy8xN4I8v3U/e1BRMRis/vf8/PjcBVqVS8aOvX0pCbCitHQZ++7cPZH7JZySv5uNEr8HMw0+uxuVSuGJpAZcvLfR2SaOq9KB7Qmt9dQeRMSE89u97WXLZFG+XJYRPi4gK5rfPfolLrpqGy/nhBFinw3cmwIYE+fPL716NVqtm8+5KmV/yGUkoGQcUReGRP78/NI8kim/fe4m3SxpVB3dV8aMvr/RMaP3TS/eTW5js7bKEEIDeT8f3Hrlx2ATYR3/wP58KJnnZCXz9CxcB8OfnNlNV1+ndgsYxCSXjwIYdx9ldUotep+GX373ap3b9LTvUwMPfehH7oIM5SybLhFYhxqCTE2B/+vvb0ek0bF93jCcffguXy+Xt0kbNTVcUs3BWFg6Hi989vRaXS4ZxPg0JJWNcv8nKn/7t3qHyCzfOJTPVd+aR1Bxv5Wdf/w82q52ZC3L46e9vkwmtQoxhCy7J54e/uxW1Rs26t0t45rE1PjPHQqVS8d37lhEYoKesspW31x72dknjkoSSMe7vL26jp89CWlIkn7tulrfLGTVNdV38+CsrMRutFBSnDR2Bab1dlhDiYyy4JJ/vPHw9AG+9uIsXn97k5YpGT0xUCF/53EIAnn5xK129Ji9XNP5IKBnDjlY0e9L2g19Zjt5H3pQ7Wvv40Zf/TV+PmazJCfzyL3dKh0SIcWTZNcXc/8MrAXjhqY28+fxOL1c0eq67dBp52fGYLYP86V++E8guFAklY5TD4eSxv68D4MqLC5lWkOLlikZHX7eJH315JZ1tBpLTo3nkqS8SFOLv7bKEEOfp2s/N4wv/zz0p/++Pvcfatw54uaLRodGo+f5XV6BRq9i48zi7DtR4u6RxRULJGFVR005zWx/hoQF8bWjVwInO1D/AT+5/jub6LmITwnj0mbsIjwr2dllCiE/p9vsu4sYvLADgyYfeYvu6Y16uaHTkZMRy81Xu7T827Tru5WrGF5UyhmchfdqtjyeK5rY+WtoNzJqa5u1SRpx1YJAff3UlZSUNREQF8/jKe0lK851JvUJMVIqi8ORDb/HBmwfQajU8/JfPM2N+jrfLGnGWgUF27K9m2cLJPrcVCHz692/plIxhSfHhPhFIAJ55fA1lJQ0Eh/jzyN/vkkAixAShUqn45s+vZdGKQhwOJ49+/390thm8XdaICwzQs3xRnk8Gks9CQonwul2bynnv1X0A/PiJ28icFO/lioQQF5JGo+b7j95ETkESpv4BnvjZ6z61hon45CSUCK/q6TLy5ENvAnDDFxYwfW62lysSQowEnU7L939zE37+Og7tqfGpM3LEJyehRHiNoij84edvYui1kDEpnru+udzbJQkhRlBKRgxffvByAFb+aR01x1u9XJEYaySUCK9Z9coe9m0/gU6v5QeP3oxe7xvrsAjhy664aRZzlkzGbnfy2x++is1q93ZJYgyRUCK8or66g2efeB+Aex5YQXpOnJcrEkKMBpVKxbcfuo7wyCDqqzv415NrvV2SGEMklIhRZ7c7+N2PXmXQ5mD6/Gyu+dxcb5ckhBhF4VHBfOdXNwDw9ku72L+j0ssVibFCQokYdS8+vYnqilZCwwP57q9uRK2WX0MhfM3sRblcfdscAJ742euYjVYvVyTGAnk3EKOqq72fN/6zA4Bv/PQaomJCvFyREMJb7v3OZSSlRdPbZeL1/2z3djliDJBQIkbVi3/fyKDNQUFxGguXF3i7HCGEF/n567j7W+6z7t74z056u2VXXV8noUSMmqa6Lj548yAAd39ruax0KIRgwSX5TCpMwjowyMv/2OLtcoSXSSgRo+b5v23A5XQxe3EuhdPTvV2OEGIMUKlU3P3NFQCs/t9e2pp7vVyR8CYJJWJU1FW1s/WDUgDu+sYyL1cjhBhLiudmMW1OJg6Hk1eelW6JL5NQIkbFf5/ZjKIoLFxeQGZugrfLEUKMMZ+//2IA1r59ULolPkxCiRhxp3ZJ7vjKUi9XI4QYiwqnp1M8NwunwyXdEh8moUSMuDef3+npkmTIDsBCiLO446vug5a1bx+kv8/i5WqEN0goESPKYXeyY0MZgGehJCGEOJPC6elk5sbjdLjYubHM2+UIL5BQIkbUoT3VmPoHiIgKljNuhBAfa/GKQgC2rT3m5UqEN0goESNq6zr3XJIFywrQaOTXTQhxbouGQknJnmoZwvFB8i4hRozD7mTnhnIAFq2Q1VuFEB8vKS2azNx4XE4ZwvFFEkrEiJGhGyHEpyFDOL5LQokYMTJ0I4T4NGQIx3fJO4UYEQ67k10bZehGCHH+ZAjHd0koESOioaYDo2GAoBB/GboRQpy3uRdNBqD0YL2XKxGjSUKJGBH11R0ApGXHytCNEOK8ZU5yb0fRUNPh5UrEaJJ3CzEiPKEkK9bLlQghxqPUrBgAGqo7cblcXq5GjBYJJWJENHhCSZyXKxFCjEeJKVFotRqsA4N0tBq8XY4YJRJKxIior+4EPjzaEUKI86HVaUhOjwZkCMeXSCgRF9ygzU5rYzcgnRIhxKd38qCmvkpCia+QUCIuuKa6LlwuheAQfyKjg71djhBinDo5J+3kHDUx8UkoERdcU10XACmZMahUKi9XI4QYr1Iz3aHk5GuKmPhGJZT87W9/IyMjA39/f2bMmMG2bdtG49sKLxm0OQAIDPL3ciVCiPEsMNgPAPugw8uViNEy4qHklVde4YEHHuAnP/kJJSUlLFq0iMsvv5yGhoaR/tZCCCGEGEdGPJT8/ve/55577uHee+8lLy+PJ598kpSUFJ566qnTnmuz2ejv7x92EUIIIYRvGNFQMjg4yIEDB1ixYsWw+1esWMHOnTtPe/6jjz5KWFiY55KSkjKS5QkhhBBiDBnRUNLV1YXT6SQubvhpoXFxcbS1tZ32/B/96EcYDAbPpbGxcSTLE0IIIcQYoh2Nb/LRMzAURTnjWRl+fn74+fmNRklCCCGEGGNGtFMSHR2NRqM5rSvS0dFxWvdECCGEEL5tREOJXq9nxowZrFu3btj969atY/78+SP5rYUX6f11AJhNVi9XIoQYz8xG92uI3m9UmvpiDBjx/+nvfOc73HnnncycOZN58+bxzDPP0NDQwFe/+tWR/tbCS1JO2a/ibEN1QgjxcU6u5JqSIXto+YoRDyW33nor3d3d/PKXv6S1tZXCwkLee+890tLSRvpbCy9JSo9GrVFjMdno7jASHRfq7ZKEEONQvWe38VgvVyJGy6is6Pq1r32Nuro6bDYbBw4cYPHixaPxbYWX6PVaklKjAKivbvdyNUKI8aqhxr3buIQS3yF734gRkZrpbrc2VHd6uRIhxHhktztornfveZMqocRnSCgRIyIt++TuntIpEUKcv+b6bpwOF4FBfsTEh3m7HDFKJJSIEZGW5T7lW7YcF0J8GieHblJlt3GfIqFEjIiTwzf1VR04HU4vVyOEGG9qKloBGbrxNRJKxIhIzYwhLCIQi9nG4f213i5HCDHO7NpUDkDhjHTvFiJGlYQSMSI0Wg3zL8kHYNvaUi9XI4QYTxpqOqiv7kCr1TB/aZ63yxGjSEKJGDGLVhQCsHNDmQzhCCE+sZMHMsXzsggODfByNWI0SSgRI2bqzAzCIgIx9FpkCEcI8Ylt/cAdShYPHdgI3yGhRIwYjVbD/ItlCEcI8cmdOnQzT4ZufI6EEjGiFl0qQzhCiE9Ohm58m4QSMaJkCEcI8UkpiiJDNz5OQokYURqthgXLCgB456XdXq5GCDGWHdlXS311BzqdDN34KgklYsRd//n5qNUqdm+uoLKsxdvlCCHGqBee2gjAZTfOlKEbHyWhRIy4lIwYLrqiCIAXn97o5WqEEGPR4X01HD1Qh06n4ZYvyU7yvkpCiRgVt993kadbcuJYs7fLEUKMIYqi8PxfNwDuLolswOe7JJSIUZGSEcPSK6YCsPJPa71cjRBiLNm/vZLSg/Xo9Frpkvg4CSVi1Nz5tYvRajUc3FXNoT3V3i5HCDEGuFwuVv55HQDX3D5XuiQ+TkKJGDXxyZFccfMsAP79x3UoiuLlioQQ3rb1g1KqK1oJDPbj1nukS+LrJJSIUXX7ly/Cz1/H8dImNr132NvlCCG8aMBiY+Wf3F2Sm+5aSGh4oJcrEt4moUSMqoioYG4ZOhr662/epaO1z7sFCSG85unfvkdbcy8x8WFc//n53i5HjAESSsSou+2exUyekozZaOWxn7yG0+nydklCiFG2Y0MZH7x5AJVKxYO/uYmAQD9vlyTGAAklYtRptBq+/+jN+AfoObq/jjee2+HtkoQQo6i7o58nH3oTgJvvXkjRzAwvVyTGCgklwisSU6P46g+uAOC5v6yXlV6F8BEul4snfv4GRsMAWZMTuPPrl3i7JDGGSCgRXnPp9TOYf0k+DoeT3/3oVawDg94uSQgxwt55aTcHd1ah99Pyg/+7GZ1O6+2SxBgioUR4jUql4oFfXEdkTAiNtZ08+/sPvF2SEGIE1Z5o459PuhdPvO+7l5OaGevlisRYI6FEeFVoeCDf/dUNALz7yh72bKnwckVCiJFgs9r57Y9exT7oYNaiSVx162xvlyTGIAklwutmzM/hujvmAfB/P/gfx0ubvFyREOJCctid/ObBV6irbCcsIojv/PIGVCqVt8sSY5CEkjGstrGLnQd8Yzn2L337UqbNzmTAMshP73+Ouqp2b5ckhLgAXC4XT/zsdfZsqUDvp+WnT9xGRFSwt8sacWaLjXfWHZElD86ThJIx6mhFM3d/7z/86k9r6DWYvV3OiNPrtfz8j3cweUoyRsMAP/7KSlqberxdlhDiM1AUhb/95l02vXcEjVbNT564nSk+cvrvP/67nd89vZZf/3mNt0sZVySUjFF5OQlkpkRjNFn5y8ot3i5nVAQG+fGrv32B9Ow4ejqN/Oi+f9PV3u/tsoQQn9K//7SOd/+3171A2iM3MWdxrrdLGhXlVa28vqYEgCsvLvRyNeOLhJIxSqtR8/2vrkCtVvHB1jL2Ha73dkmjIiQskEf+fhcJKZG0Nffy46+uxNA78TtFQkw0r/xzC//751YAvvGza7jo8iIvVzQ6HE4Xv3t6HYoCly7JZ2ZRmrdLGlcklIxhk7PjueGyYgCeeGYdNpvdyxWNjqiYEB595m6iY0NpqO7gp1/7D2aT1dtlCSE+odX/28u//+jeaO+eb1/KFTfN8nJFo+e11QeprO0gNNif//fFi7xdzrgjoWSMu+/2BcREBtPU1sd/3tjj7XJGTXxSBL955i5CwwOpPNbMQ998AZvVN0KZEOPZptWH+csjqwC47d4l3Hz3Ii9XNHraOgw8+/J2AL72hSVEhMmux+dLQskYFxToxwP3updhfvGtvZyo8Z2zUlIzY3nk6S8SGOTH0f11PPTNF6RjIsQYtuHdQzz209dRFIWrbp3DF7+xzNsljRqXS+F3f1+H1eZgWn6yzCX5lCSUjAOLZ2ezeE4ODoeLnz+xCrPF5u2SRk1OfhIP//nz+PnrKNldzXfufEbOyhFijHG5XKz88zoe+/FruJwull09ja/96EqfWovkpbf3svdQHXq9lu99ZblP/dsvJAkl44BKpeKH968gLjqEprY+fvf0WhRF8XZZo2bKzAweX3kvUbEh1Fd38MAdT1N6oM7bZQkhAKtlkEe++zIv/8N9luAtX1rEd351A2q177y9HC5v4h8vuYdtvn3PxaQnR3m5ovHLd35rxrnQkAAe/s7VaDRqNuw4zttrD3u7pFGVk5/EH1+8n5yCJAy9Fn5437/54M0D3i5LCJ/W2dbHd+/6Bzs2lKHTafjer2/kSw9c6lOBpK/fwkO/fxenS2HF4jyuumSKt0sa13znN2cCKMxN5Kufd08a+9O/N/nU/BKA6LhQHvvXPSy+tBCHw8kffvEmzzy+RlZMFMILKo408s3PPU11RSthEUH89p/3sOyaYm+XNapcLoVf/2kNnT0mUhMj+d6XZdjms5JQMs7cdvVMFszMYtDu5OdPrMJk9p35JQD+AXp+9Ltb+fz9FwPwxn92yARYIUbZptWHefBL/6S3y0R6Thx/+u9XyZ+W6u2yRt2Lb+1ld0kter2WX33vagID9N4uadyTUDLOqFQqfvL/LvPML/n1n9/D5fKd+SXg/hl8/v6L+fHjt+Hnr2PfthMyAVaIUeByuXjuL+s9u/3OvWgyv//Pl4lLjPB2aaNu3+F6/vFf9zyS79xzCVlpMV6uaGKQUDIOhYYE8MiD16LTati+r5rnfWj9klMtXlHIY//+cALsN29/ij1bj3u7LCEmJEOvmYe/+SL/fWYz4J7Q+vMnP0dgkJ93C/OCtg4DD/3hXVwuhasumcJVy2QeyYUioWScmpwdz3fuc69f8o//bmft1jIvV+QdkwrcE2AnFSZhNAzwi//3PL//xRuY+ge8XZoQE8b29cf4yvV/Ys/W4+j0Wp+c0HqSwTjA9x55HYNxgNysOL49tI6UuDB87zdqArl6WRE3XzkdgEf+8j67S2q9XJF3RMeF8vjK+7j+8/NRqVSsffMgX73hz+zbdsLbpQkxrhl6zTz6/Vf49Xf+S1+PmbSsWP7w/Jd9bkLrSQPWQb7/mzeoa+ohJjKYRx68Fj+91ttlTSgqZQwveNHf309YWBgGg4HQ0FBvlzMmuVwKv/zjatZvr8DfT8uTD91C4aREb5flNaUH6/j9z9+kpaEbgBXXT+fL372c4NAAL1cmxPiyff0x/vLrd+jrMaPWqLnl7kV87qtL0fvom7DD4eQH//cme0rqCAn252+/vo2MlGhvlzVmfdr3bwklE4Dd7v5j2XuojtBgf/7q438s1oFBnvvzet56cReKohAdG8q3fnEdsxZN8nZpQox5hl4zf3v0Xba8fxSAtKxYvvvrG5lUkOTlyrzH5VL49Z/fY+3Wcvz0Wv740C0U5vruwd8nIaHExw1YB/nWQ69SVtlKbFQIT/3mduKifftn9tGuydIrivjyg1cQERXs5cqEGHsURWHDqkP844k1GHot0h0ZoigKf165mf+9ewCNRs3//fA65k3P9HZZY56EEoHBOMDXf/pf6pp6SEuK5K+/vo3wUN/epfKjXZPgEH/ufmAFl9840ycn6QlxJo21nfz51+9wZJ97Xlp6dhzf+dUNPt0dOen5N/bw9xe3AfCzb17BpUvyvVzR+CChRADQ3tXP/T/+Lx3dRnKz4vjjL24h2AdP2fuoE8ea+dMv36aqvAWAyUUpfPPn15I5Kd7LlQnhPTarnZef3cKr/9qGw+HEz1/HHV9dyg13LkCr03i7PK974/0Sfv+PDQB8466LuPXqmV6uaPyQUCI86pq6+X8/e5m+/gEKcxP53Y9vIDTY39tleZ3T6WLVy3v4z1/WYzHbUGvUXHHTLO746lIZ0hE+xeVysfWDUlb+aR1tzb0AzF6cy9d+dBXxSb63ENqZvPXBIR5/Zj0Ad94wh6/cscjLFY0vEkrEMJW1HXzjF69gMtvITI3m9z+7iehIeeMF6Grv5+nfrWb7umOAe+n6G74wn+vvXECInKUjJjBFUTiwo5Ln/rKeyjJ31zA6NpSv/vBKFlySL/u24P4ZPffabp59eQcAN185nW/evVR+NudpTIaSRx55hNWrV3Po0CH0ej19fX3n9fkSSj6b6vpOvvOr1+juNZMQG8rvf3YzKT64HPTZHNlfyz9//wHHS5sACAz24/o75nPdnfMlnIgJ5WQYeeGpjVQcHfp9D/LjprsXcsPnF+AfKHu2gPssmz/9eyOvvVcCwF03zeWe2xZIIPkUxmQo+cUvfkF4eDhNTU3885//lFDiBa0dBr798Ks0tfURERbI4z+9kdzMOG+XNWYoisKO9WW88PRG6irduy5LOBETxZnCiJ+/jitvmc0tX1pMeGSQlyscO+x2J7/56/us21YOwLe+dLFncUpx/sZkKDlp5cqVPPDAAxJKvKTXYOa7v3qdE7UdBAbo+b8fXMf0Kb63o+e5uFwudm4ol3AiJoSzhZGrbpnNTXcvkjlUHzFgHeSnj7/DnpI6NBo1P/nG5axYlOftssa1CRFKbDYbNpvN83F/fz8pKSkSSi4As8XGD//vLUqONaLTanjo21eyZK4sJvZRZwsnV90ym2vvmE9UTIiXKxTi7JxOFzs3lPHqym2cKG0GJIx8nH7jAN9/9E1Kj7fgp9fy6wevkXVILoAJEUoeeughHn744dPul1ByYdgGHTz85Gq27qlErVbxrS9dzI2X++YeFh/nTOFEp9Ow9Kqp3PTFhaRmxnq5QiE+ZLPaWff2QV7/zw5aG3sACSOfREt7Hw8+8gb1zT2EBPvz2I9vkJVaL5BRCyVnCw6n2rdvHzNnfng+t3RKxg6n08UT/1jPO+uOAHDbNTO5//OL0WhkIbEzcblc7NlynNdWbudYSb3n/jlLJnPDnfMpmpUhk+CE1/R0GVnz2j7e+e8eDL1mAELCArj6tjlcc9tcwiWMnFV5VSs/ePRNevosxEaF8PhPbyQz1Xe357jQRi2UdHV10dXVdc7npKen4+//4boYMqdkbFEUheff2MMzL20HYPbUdH7x7SsJC5F5E+dSdriB11ZuZ9fGck7+2SSnR3P5TbO4+MqpcjQqRoXT6aJkdzUfvHmAnRvLcDpcAMQlhnPDFxZw6XUz5Gyaj/Hu+qP8/tn1DNqdZKfH8NiPbyAmSoZmL6QJMXzzURJKRta6beX8398+wDboIC46hEcevJbJ2bLC6cdpquvized3snH1IQYsgwCoNWpmLchh2TXFzLlosk/vFSJGRl1VO+vfKWHj6sP0dBo99+dNTeHaz81j0fICNFpZhfVcbIMO/vDsBt7d4N5scMHMLH7xwJUEBkiIu9DGZChpaGigp6eHd955h8cee4xt29z7B2RnZxMc/PFHlRJKRl51fSc/+d3bNLX1odNq+Pa9l3D1sikyJPEJmE1WNr93hLVvHfSsdQIQHBrAkkunsOyaYiYXJcvPUnxqhl4zm9ccYf07JZ7FzsA9RHPR5UVcfuNMMnMTvFjh+NHaYeAnj73DiZp21GoV992+kDuum41aLX+fI2FMhpK77rqL55577rT7N23axEUXXfSxny+hZHSYzDYe+fMatu2rAuCKiwv57r2X4Oen83Jl40dDTQfrVx1i46pDdHX0e+5PTo/mosuLWLSikLQsmRwrPp7FbGPP5gq2ri1l37YTOBxOADRaNbMWTmLZNcXMXpwr3bjzsLukll8+uZp+k5Xw0AB+8cBVzJqa5u2yJrQxGUo+Kwklo8flUnjxrb3847/bcbkUstJi+OV3riItOcrbpY0rTqeLw/tqWP9OCTvWl2Gz2j2PpWbFsmh5AYtWFJKeLQvYiQ+dDCLb1pWyb3sl9kGH57HsvESWXVPMRZcXyWJn58nhdPHPl3fwwpt7UBTIy47nV9+7hvgYeT8ZaRJKxAWx/0g9Dz+5ml6DBX8/Ld+9bxmXLy30dlnjksVsY+eGMratLeXAzirPES9AamYMi1YUsnBZAek5cTLE44PMRit7tlawbe0x9u8YHkSS0qJZtKKAiy4rIj1HAuyn0dbZz8N/eJejx93DXtddOpVv3r0UvU46TKNBQom4YLp7zfzyj6s5cLQBgMsuyuc79y6TyWCfgal/gN2bK9i2tpSDu6qw2z8MKLGJ4cxZnMucJZMpmpmOXobNJqymui72bD3O3i0VlJbUe86cAXcQWXxpIYtWFJIhQfUz2b6vikf+8j5Gk5WgQD0/uP9SLp6f6+2yfIqEEnFBOZ0unn9zD/96ZScul0JKYgQ/+cblFE6ShYU+K7PRyq7N5Wz7oJSDu6uHHSH7B+iZMjOd6XOzKZ6bRVp2rLw5jWPG/gEO763h0O5qDu6upqWhe9jjKRkxLBwa0pMg8tlZBgZ56oWtvPn+IQAmZ8Xx8HeuJik+3Kt1+SIJJWJEHDrWyMNPrqazx4RareK2q2dyz20L8JNJdheE1TLIob017Nlawd6tx+nuMA57PDQ8kPxpqRQUp1EwPY3svESZ4DhGKYpCR2sfx0rqOXawgWOH6qmv6uDUl1itVkPRrHRmL57M7MWTSEyROVsXysHSBh796we0dhgAuPXqGXz1jsXodHKatDdIKBEjpt84wB//vYkPtpQBkJoYyQ/uX8HU/GQvVzaxKIpC7Yk2Du6qpmR3NaUH64ZNlAXQ6bXkFiZRUJxG/rRUcgqSiIyWRZ+8YXDQQe2JNo4fbXIHkZJ6utr7T3teSkYMxfOyKJ6TRdGsDIKC/c/w1cSnZTLbePrFrbz1wWEA4qJD+OHXLpOza7xMQokYcdv3VfPY02vp7nMvZ33N8iLuv3MxIUHyIjsS7HYHVWWtlB2qH3rTa/AsJX6qqNgQsvOSyMlPJCc/kez8JNk48AIbtNmprWynqqyFyrJmKstaqKtqHzYnBNyn7WZPTiS/eKi7VZwmK/2OoC17KvnDsxvo6jEBcO2KqXztzsUEBfp5uTIhoUSMin6Tlaee38qq9e69c6LCg/jWPRezdN4kGQ8fYYqi0Fzf7TkqrzjaRFNtJy7X6X/CkTEhZE6KJzUrlrShS2pWLIFB8mJ9Lk6ni/bmXuqrO6ivaqe+ptN9Xd1xWgAB9/BaTn4SBdNTKZiWRm5hsizxPgo6uo384dkNbNvrXlspOSGC739lOdOnpHq5MnGShBIxqg4da+R3T6+jocW9I+n8GZl898vLiIuW/6fRNGCxUV3ROnQE30JlectZgwpAbEIYqZnugJKQHElCcgTxyZHEJob7zFwVRVHo6zHT2tRDW1MPrU29NNV10VDdQWNtJ4M2xxk/LzQ8kOz8RCblJ5E91JWKTQiXMD6KnE4Xb609zN9f3IZlYBCNRs3nr5/NF26cK/PcxhgJJWLUDdodPP/GHp5/Yw8Oh4sAfx1f/twibrhsmuw67EUDFhs1x9uGjvY7qK9up6Gmc9h+KR+lUqmIjgslPjmChORIYuLDiIwJISomdOg6hPDIoDG/t4qiKFhMNnq6jHR39NPdaaSn0327rbmXtqZeWpt6Tpurcyq9n5aUjJhhXabM3HgJIF5WXd/J755ey7ETrQAUTErgB/evIDM1xsuViTORUCK8praxi989vY6jFc0A5GbF8e17L5HTh8cYo8FCfXUHDTWdNNZ2et6g25p6sQ4Mfuznq9UqwiKDiIwOISQ0gODQAIJD/YeuAzz3+Qfq0ek16PVa9H46dDoNej8tej8tOp0WzvbGrig4nS7sgw4GBx0M2tzX9kEHdpsDm82B2WTF1D8wdLFiNFjc1/0DGHrN9HQazxk4TlKpVMTEhxKfHEl8cgSJKVGeABKXFCGhegwxW2w899puXnn3AE6ni8AAPV+5YxHXXzpN9q0ZwySUCK9yuRTeWX+Ep5/fisliA2DpvEl85Y5FJCdEeLk6cS6KomDoMdPa1EtbUw8tTT3uLkOHkZ4uIz2d/fR2mc46JDQWBYX4Exnt7vBEDHV64hIjSEhxD1nFJPjOcNV4Zbc7eWfdYf796i76+gcAWDQ7m2/fewmxUTKRe6yTUCLGhJ4+M0+/uI01m0pRFNBo1Fy3Yip33TyXiDDZt2O8cjpdGHrNdHcY6e02ftip8HQt3B+b+gewWu3u7sbJbofN4fn41JVsz0StVqHTa4d1VvR+Ws99gUH+BIf6e7oyIWEBnk5NWHggkTEhREaHyGTTcUxRFDbtOsHfX9xGc1sfACmJEXzjrouYPyPLu8WJT0xCiRhTquo6efqFrewuqQUgMEDPHdfN5parphPgL28YvuqTvNzIvA3fdehYI399fgvllW0ARIYH8qVb5nPVJVPQjvH5TGI4CSViTDpwtIG/Pb+F49XtAERFBPHFm+Zy1SVTZGMsIQQAJ2raefblHew8UANAgL+O26+dxW1Xz5Q9t8YpCSVizHK5FDbsqOCZl7Z7loCOjwnlrpvncdlFBWhlUqEQPqmmoYt/vbKDzbsrAdCoVVy9vIi7b55PVIQM945nEkrEmDdod/DuhqP85/U9nhUYk+PD+dKt87lkwWQ540EIH9HY0su/X93Jum3lKIr7hKzli/K4++b5pCTKxPiJQEKJGDdsNjtvrT3M82/s8cyqT0+O4t7bFrBkbo7MKRBigmrrMLDytd2s2VSKc+hsrovm5vClWxeQmRrt5erEhSShZAKy2R1Y7Q7CAifm3jKWgUFeX1PCi2/txWR2n0aclRbD7dfM5JIFk2V3TyEmiJqGTl5ZdYAPtpbhGFquf/6MTO65bQG5mXFerm7kdPWbiQ71zWEoCSUT0JOrt7Nqfxm/uHkZi/MzvV3OiDGarfxv1QFeefcAlqFFvKIigrjpiulcu7yI0JAAL1cohDhfiqKw91Adr6w6wN7DdZ77Z0xJ5b7bF1KYO3EXV+wxWfjNG5s4UNPEW9//4oQ9sDwXCSUTzKDDwc2/f5GadvfeMtfMzOf71y6Z0L/c/cYB3l53hNfXlHjmnPjptVy+tIBbrppBamKklysUQnwcm83O2m3lvLLqAHVN3YB7/Zklc3K49eqZEzqMAKw9fIJH3thIj2kAjVrFY3deyfKiHG+XNeoklExAA4N2/vL+Tp7fehBFgdjQoAnfNQH3So4bdx7n5VX7qazt8Nw/f0YmN10xnZlFabK8tBBjTEe3kXfWHuattYc9c8UCA/RcfckUbrpyOgmxYV6ucGSd7I58cPgEADkJ0fz6thXkJ0/c4alzkVAygZXUNvOzl9dS39UH+EbXBNzt35Jjjbyy6gA79ld77k9OiOD6S6dy+dJCQoMn9s9AiLFMURQOljbyxpoStu+r8kxejYsO4eYrZ3DVJVMIDvLzcpUj76PdkXsuns1Xl89B58MLvkkomeDO1DX5+c3LWDLBuyYnNbT08MaaQ6zZXIrZ4p534qfXsnxRHjdcNo1JE3iynBBjjcls4/0tx3jz/UPUN/d47p+Wn8z1l01jydxJPrH+ULfRwqNvSnfkTCSU+IiPdk0un5bLD667iKiQQO8WNkosA4Os3VbOm2tKqG7o8txfMCmB6y6dxtJ5k/D303mxQiEmruM17byz7ghrt5YxMLQbc4C/jkuX5HPDZdPITI3xcoWjQ1EU3tlfxmPvbMVgsUp35AwklPiQgUE7f31/F89vPYhLUQgL9Od7Vy/m2ln5PrPGh6IoHKlo5o01h9i8+wROp/s0w6BAPcsX5nHVJVPIzYrzmZ+HECOl32Rl/fZy3l1/lBOnzPFKT47k+suKuWxJPkGBE3+I5qTG7j5++eoGdlc2AJCbGMPDtyynIEW6I6eSUOKDjjW28dD/1lPR0gnA9IxEfnT9UiYnxXq5stHV3Wvm3Q1HeXfDUc8y9gBpSZEsX5zHikV5JMaFe69AIcYZ26CDXQdq+GBrGbsO1njWFtFpNSyek821y6dSXJjiU6F/YNDOPzfu49+b9jPocOKn1XD/pfP4wpLp6DTSHfkoCSU+yu508vyWgzy9bjcDgw7UKhU3z5vCNy5fMOEnwn6Uy6VwsLSBdzccZeveKgYHHZ7HpuQmcsnCyVw0dxLRkcFerFKIscnhcHLgaAMbdx5ny+5KTBab57Hs9BiuvHgKKxbnEeZj6wYpisK6I5U8vmorrb1GAOZkp/Czmy4hLUaWxD8bCSU+rq3XyOOrtnomXIUF+vP/LpvPTXOn+MSEs48yW2xs3VPJB1vLOXC0npO/5SoVFE1OZun8SRJQhM87NYhs21tFv8nqeSw2KoTli/JYsTiPrDTfmCvyUcdbOnnsnS3sqWwEID48hAevWczyItkO4+NIKBEA7K1q5NE3N1HV5l60KDMuku9dvZiFk9N99o+oq8fExp3H2bTzOEePt3juPzWgLJmTQ0xUiBerFGJ02O1ODpaeOYhEhAWyZG4OF8/PZVp+is+uB9TVb+Yv7+/kzb3HcCkKeq2Gu5fO5J6LZxGgl4n0n4SEEuHhcLp4bfdR/vbBLnrN7kWM5k9K47vXLGZSgm9vetXe1c+W3ZVs3Hmc0lMCCsDkrDgWzs5m0axsMlOjfTbEiYnHaLay+2At2/dVsbuk1nNaPZwSROblMjU/2ad367baHTy/5SDPbtyLxeY+u+jSqZN44MqFJEdN7MXfLjQJJeI0/QNWnl2/lxe2HcLudKJWqbhhTiFfv2we0SG+uUnUqdq7+tm86wSbdp3g2IkWTv1LSIgNY+GsLBbNyqYoP9knh8DE+NbWYWD7/mq27a3iUFmT5ww1gMjwQBbPkSBykqIorCk5zpPvbffMGylMieP71y6hOCPJy9WNTxJKxFk1dvXxh9XbWXekEoAgPz33XjKLOxYVSytySHevmZ0H3C/g+482DJskGxLsz+ypacyZlsHs4nSiI2Qeihh77HYnR483s6ekjt0ltVTXdw57PD05koWzslk4O5v87ASfHZr5qJLaZh5/ZytHGtoA97yRB65cyOXTcuVn9BlIKBEf62BNM797ZwvHGtsBiA0L5ivLZnP97EJZ8OcUA9ZB9h6uZ8e+KnYeqPHs43FSdnoMs4rSmFGUxtS8JAL89V6qVPgyRVGoa+rmwNEGDhxp4EBpg2eXbXBvgjclN4mFs7NYODOblEQ5U+RUFc0d/PWDXWw+VgNAgF7HvZfM4s7F0+Vg7QKQUCI+EZdLYXVJBX9Zs5OW3n7AfWRw37LZXD+rQMLJRzidLo5VtrKnpJY9JbVUVLcPe1yrVZOfk8DUvGSK8pKYkpvkE3t9iNHncinUNHRxuLyJI+VNHCprorvXPOw54aEBzJmWwZzpGcyemkZ4qG+s9Hw+Kpo7eGrtbjaWuvfT0qhVXDe7gK9fOo+YUOmCXigSSsR5GXQ4eHXXUf61cR8d/e4XNgknH6/XYGbf4Xr2H23gwJF62ruMwx5Xq1VkpcUwNS+JorxkpuYlExUh83fE+bPbnVRUtw2FkGaOVDRjMtuGPUev1zIlN5GZRWnMKkpjUmacDDmcxUfDiEoFl0+bzFeWzyEzLtLL1U08EkrEp2KzO3h9Tyn/3LB3WDj50tKZXD+nEH+d1ssVjl2KotDc1sehY03uN46KZprb+k57XkJsKPk5CeRlJ5A/KYHcjFj8ZH8ecQpFUWhpN3CsspXyylbKKluprO1g0O4c9rwAfx2FuYkUTU5ial4yBbmJ+Onlb/RcShvaeGb9XjYd+2gYmU1mXJSXq5u4JJSIz+RM4SQyOJAvLJnOrfOLCPaXIYlPoqvH5DmyPVzeRHV9Jx/9C9No1GSlxZCfHU9eTjyTMuJIT45Cp5PulC9QFIXuXjMnats5Xt1OWWUr5VVtp81dAvdwjLvj5g4h2RmxcibYJ6AoCvuqm/jH+r2ePWokjIwuCSXigrDZHbyxp5SVmw945pyEBPhx+4JpfH5RMRHBvrXE9GdlMtuoqG6jbOjot6yylZ4+y2nP02rVZKZEk50Ry6SMWHIyYslJjyUwQCbRjmcul0JTWy+VtR2cqOlwX9e2nzGA6LQasjNiKMhJIH/okhQfLuvlnAeXS2FreQ3/2LCPI/WtgHvOyJXT87jn4lkyTDOKJJSIC8rudLKm5DjPbthHbUcPAAF6LTfOncIXl8wgPlxWP/00FEWhvcvoCSjHq9uprO0Yts/IqRJiw8hIiSI9JYqMlGgykqNIS46UM37GGJdLoa3TQF1TN7WN3dQ2dlHX2E1dUzdWm+O056vVKlITI5mUGesZ2svJiEEvw6WfisPpYu3hEzy7cR+VrV0A6LUabphTyF0XzSApUhY+G20SSsSIcLkUNpZW8Y8Neylrcm9brlWruWJ6Ll9YMoPcRN/cE+NCUhSF1g4DlXWdVNa0c6LWfUTd2WM64/NVKoiPCSM9OZLkhAj3JT6c5IQI4qJD0Mok5RGhKAoG4wDNbQaa23ppbO2lua2PhuYe6pt7GLDaz/h5fnotWWkx7u7XUCcsKzVa5hVdABbbIG/uPcbzWw/S3OPu7Ab56bl1fhF3Lp5OdKhMMvcWCSViRCmKwq4TDfxjw172Vzd57p+ZlcztC6aytDBLtu++wPr6LcOOuk/ePlPr/yS1WkVcdAiJceHERYcQGxVCTFQIsUO3Y6NDCA70kyGBM7DbnXT1mujoMtLRbaSz233d3mWktcNAS7th2DogH6XTakhNjCA9JZqMlKihSzSJ8eEyD+QCq+vs5ZUdh3lr3zFMVvf/SURQAHcsKub2hVMJDfCtHdLHIgklYtSUNrSxcvMB1h+txOly//rEhgVzy7wibpo7hagQWRthJPUaLNQ1dVPf3ENzay9NrX00tvbS0mEYthLt2QT464iJDCEyPJDwsEAiwwKJDA8adjs0xJ/QYH+Cg/zH7RuqoigMWO30m6wYTVZ6DRZ6DRZ6DGZ6+4auDRZ6+yx095rpMZhPm5R8JtGRwSQnhJMcH0FyQjgpCRESPkaB0+Vie0Ud/91+iB3H6z33p0WH84Ul07l6Zr4sejaGSCgRo66tz8iru47y2u6j9Jjckzd1Gg3LirK5ee4UZmYlyxH5KHK5FHr6zDS399HSbqCj68Oj/Y5uIx1dxmE7wn5SgQF6QoL8CAn2JyTIn5BgfwL8dAT46/D31512W6/XotVq0GnV6LQaNBr3tU6rQaNVo+LMvxMKCi6XgsPhwuFwYnc4cTg/vG13uLBa7VhtdizWwVNu27Fa7ZgHbBhNNoxmdwgxmm3D9nv5JHRaDTFRwZ7OUkxkCLFRwSTEhZEYF05CTKgMu4yyrn4zb+07xmu7j3qGaFQqWJyXwe0LpjFvUpqszTIGSSgRXjPocLD2cCX/3XHYM+MdID0mgpvmTuGamfly1s4YYbXZ6eg20tVjcncN+ixDHQQzPX0fdhH6TdZzDlWMJzqthpBgP8JDA4kY6gRFhJ28HUhkWBAR4YHERYcQHhooQXoMcLkUdlc28NruI2wqrcHhcofL0AA/bphTyC3zi0iJCvdukeKcJJSIMaGsqZ3Xdh9l9cEKz9bf0j0ZnxxOFyaz9bTug8lsZcBmZ2CoQ+G+7e5cWKx27HbnGTod7muH49ydC5Va5emqaLVqT8dFq3F/HOCvw3+oMxPgrz/lto5Af/1QN2eoqxPsHoLy02vld26cOFNXBGBqWgI3z5vCiqmTZIhmnJBQIsYUs3WQ90oqeG33Uc9ZO+Ae/71udgFXz8wnLkz2mRDC19mdTraX1/HWvmNsLav1dEVC/P24akYeN82bwqSEaC9XKc6XhBIxZh1rdHdP3iv5sHuiVqmYl5vGdbPyWVqQhZ+szyCET6ls7eLtfWWsOlDumZMG7q7ITXOncOk06YqMZxJKxJhntg6y9vAJ3tp3jIO1LZ77QwP8uLx4MldNn8zU9ARptQsxQXUbLbx/6DirDpRzrPHDHbcjgwO5asZkrp1VIF2RCUJCyQTUaDDQaTEzPSHR26VccPWdvby9v4x39pXRbvhwkbCEiBCWF+Vw6dRJTEmNl4AixDjXY7Kw/mgVaw+fYF9VE66htxytWs3i/Ayum1XAwrz0CbfOUb/NysHWVi5Kz/B2KV4hoWQC+t7aNbxRUcbi1HS+OWfehAwnTpeLPZWNvHugnA2lVZ7hHZCAIsR4dbYgAlCQEseV0ydzRfHkCbmmUb/Nyr9KDvLvQwexOR1s+eK9xAX73vy5T/v+LQP5Y5SiKPhptWjVarY21LG1oW5ChhONWs383DTm56ZhtTvYXl7L2sOVbC6robXXyH+2HOQ/Ww56AsolhdlMTU9Ao5ZFqoQYSzoMJjYfq2btkcrTgkheciyXTp3EiqIcUqLDvVfkCDo1jBgH3XtZTYqKptNi9slQ8mmNWKekrq6OX/3qV2zcuJG2tjYSExP5/Oc/z09+8hP0+k+2mZivd0oAGgx9/G3fHt6oKPPMSp+I4eSjPhpQBgY/7KBEBgdwUX4WF0/JYm5OqkySFcJLatp72FhaxabSao40tA17zBeCCJw9jHxz9jwuy85B7aMd3jE3fPP+++/zyiuvcPvtt5OdnU1paSn33Xcfd955J48//vgn+hoSSj50pnCyKDWNr8+ay+ykZC9XN7Ksdgc7KupYd6SSrWW1GK0f7qgboNexcHIaSwuzWZyXQVig7HkhxEhxulwcbWhjU2k1G0urqevsHfZ4UVoCFxdmTfggAtAzYGHloRKeO1wiYeQMxlwoOZPHHnuMp556ipqamk/0fAklpztTOJmZmMTXZs5hSVr6hJ93YXc62V/dxMahF8WOUybJqlUqpqUnsCgvg0V5GUxKiJ7wPw8hRprBYmXX8Xq2lteyvaKOXvOHG0JqNWrm5KRycWEWSwsyiQmd+MMU7SYT/zi4n/+WHmbA4d5rSsLI6cZFKPnpT3/K+++/z/79+8/4uM1mw2b78Ci4v7+flJQUCSVn0Ggw8PeD+3jtWCmDLicABTGx3D9zjs/8YSiKQllTOxtKq9lUWk1VW/ewx+PDQ1iUl87ivAxmZ6cSKHuWCPGxFEWhqq2breW1bC2v5XBdi2fjTYBgfz2LJmdwcWEWC/PSCfb382K1o6fB0MffD+zj9bJjntfcwphY7p81h0uzfOM193yM+VBSXV3N9OnTeeKJJ7j33nvP+JyHHnqIhx9++LT7JZScXbvJxD9L9vNS6REsdve8i/TwCL40bTo35BUQqPOdN+LmHgPbyuvYVl7LnsoGbA6n5zGtRk1RWgKzs5KZnZPK1LR49FqZiyKEoig0dRvYW9XI3qom9lU30tlvHvacrLhIFg91IKdlJE6403fP5XBbK8+W7GdNVaVn8u6sxCS+Pmsui1LTpBt7FqMWSs4WHE61b98+Zs6c6fm4paWFJUuWsGTJEp599tmzfp50Sj693oEBVh4+yHOHS+gf+hmG+flza0EhdxYVk+RjPz+r3cHeqka2ldeyrbx22D4aAH5aDdPSE5mVncKc7BQKUuN86oVW+LbW3v5hIaS11zjscT+thtk5qUNBJJ2kyDAvVeodg04n71edYOWhEg61f7jJ6OLUdL42a86En8d3IYxaKOnq6qKrq+ucz0lPT8ff3z3hsKWlhaVLlzJnzhxWrlyJ+jxO5ZQ5JefPPDjIq2WlrDx0kIZ+A+Cea7E8M5u7p01nVmKSzyV7RVFoPHkkWNnI3upGuo2WYc/x12kpSkugOCOR6RlJTE1LIMj/k50lJsRY5nIp1HR0c7C2hYM1zZTUttDSOzyka9VqpqTGMzsnhdnZKUxNS/DJs9q6LBZeLj3CC0cP0WF2d4v0ag1X507mS8UzyIuO8XKF48eYHL5pbm5m6dKlzJgxgxdeeAHNeR6JSij59JwuF5vravn34YPsbGzw3J8XHcNd06ZzzaTJ+Pno8IWiKNR29LC3qom9VQ3sq2qiz2Id9hy1SkVuUgwzMpIozkikKC2B+PAQL1UsxCdntTsob2qnpLbFfalrwfCR32+NWkVBchyzst0hZFp6ok/PuTrW0c7KwyWsOlHBoNM97BsTGMTni6ZyW2ERMYFB/7+9+wyO67zvPf7d3hsWZdE7SJBgpyiSlizRYmQpSiQ5Lte+iS07Za40ske6niRKnIzLTDJKMpnrGduxY0/mSk5cZDu2imUrV4wlUbJpiqREECBYQPRetmJ7O+e+2MUCy06KwAK7z2dmZxdnF+BzCGDxe/5POQVu4fqz5kLJ4pBNQ0MD//7v/54XSFwu13V9DRFKbo1+j5vvnjrJ8+fOEMvOFnfo9Xx0Uxf/c8s2Gmz2wjawwCQpE1LeHc70It8dnrxkuAeg0mpiS2M1WxpcbG2sZnNdJUadqKYIhSNJMqNuH71jM/SMTtMzNsOFKXduZd4ig1bN1oZsJbCllq0NohIYT6V4ZeAC3+/t5p3ppWtxbaty8entO7m/rQOtGNK9aWsulDz77LN85jOfuexz1/tPilBya/ljUX7cd5p/7znJVDAzhqwA3t/YxB9t2c7dTc1ip9SsGX+Q7uEp3h2e4uTwJBdm3HkrECBTTWlzOdnS4KKzrpLO2ko6airQl2DZW1h5siwz5VvgzMQcZyfm6BufpXd8hmA0fslryy1GtjZWs7Ollp3NtWysrRBzprLGAn5+cLqH/+w7jTeWWd6sViq5v62Dz2zfyXZXdYFbWBzWXCi5FUQoWRkpSeKNkSG+33uKw6MjueM1Fguf6NrKxzZvEeXKi0TiSc5OztI7OkPP2Ay9YzPM+IOXvE6lVNBS5aSztpJNdZlbe3V5ySybFG6NtCQx5vZzfnKeMxOznJnMBJGFywQQnVrFproqtjRmKnhbG1y47JaSmzt2NYvD2d/rPcWbo8Ms/tGrNpv5RNc2Pra5i0pT8e+xsppEKBFuyqjfzw9Pn+LHZ07jj2XGnTVKJQdb2vjIps3c2dCEWlRPLmsuEKJ3bIa+idls73UWbyh62ddWOyy0u8ppry6n1eWkrcpJc1WZqKqUOFmWmfYFGZz1MDjj4cKMhwszboZmPHlL2hepVUraq8vZlA29XQ0u2qvLRRXkCsYDAX52ro+fnDmdqw5DZjfsP9qynQPNLeL9bYWIUCK8J/FUil9e6Od7vd2cnFlaAldhNPHQho38QedmNoqZ51clyzJzC2HOTsxydmKOMxNznJmcy9t1djmFAmrLbDRWOGiqsNNY7sg+duCyW1AqRU+3WASjccbcPkbm/YzO+xiZ9+Xul18Zezm9Rp0JINmhwU11VbS5nGjUIoBcTTAe55WBfn529gzHpiZyx+3ZeXSf6NpKk91RwBaWBhFKhFvm7PwcPzlzmpfOn8uNuQJsKq/gDzo38+CGTsqNxXfJ8ZUSiMS4MO3mwrSbgRkPA9le8cUrIpbTqVXUl9upc9oytzIbtWVWasts1JbZSnqlxFqUliTmAiEmvAtMegJMegNMeheY9AYYdfsvWYK+nFqppKnSQUtVGW1VTtqrMxW1OqdNzPG6TmlJ4sj4GD8918ergwO5Cf0KYH99Ax/u7OK+tjb0avF7s1pEKBFuuUQ6zeGRYX56ro/Xh4dIZmf0qxQK7mho5KENnRxsacN8nVd9FpbIsownFGF4LtNjztz8jLp9jLn9pNLSVT+/zGygxmHFZbdQZTfjslmosltw2c1U2SxU2EyipH+LyLLMQjTOjD/IrD/IjD/ITCDErD/ErD/ItD/IlG/hmt+zcosxVwlrrHDkKmT15XbxvboJsizTMzfLS+fP8nL/eeYjS7vQtjrK+IPOTTy8YRPVFrGUvxBEKBFWlC8a5ef95/jZuTP0zC5dolyvVnOwuZUHN2zk/Y3NYgndLZBKS0z7Fxid9zOR63UHmPAuMOEJXHa1xcUUCnCYjJRbjJRbTDgtmcdOq4lyi4kyswG70YDdpMdmNGDQqktqYmQqLbEQjeEPxwhEonhDUTyhCJ6FMO5gBHcwc+8JhvEEI8SSqWt+TbVSSbXDkqlmOa3Z6paNhnI7jRV2Mdn5FhnyeXnx/FleOn+O0YA/d9ym0/P7HRv4cOdmtla5SurneS0SoURYNUM+Ly+dP8dL/ecY8S9dutym03N/Wzu/17GRPbV1YgLZClmIxpj0LDDlW2A2EMr24EPMBDI9+dlA6Jq99otp1SrsRj02kwG7UY/FoMOs12LW6zDptZh1Wsx6LSZ95rheo0anUWPQatBp1OiXPdaqVLd8Powsy6QkiXgyRSyRIpZMEUsmiSdTRLMfRxNJQrEEoVicUCxBOJYgFI8TimaOBSIx/JEYgXCMYOzawe5iDpMhU5mymZdVpcy47JkgUmU3i+GWFTIZXOCVC/281H+O03OzueN6tZqDLa081NHJnY1NolO0hohQIqw6WZbpnZvlpfPnePnCudy2zABOg4EPtnXwu20dIqCsMkmS8YYjeIIR3Ath3Nne/mIFwBuM4AlF8Iej+COxGw4w10OhALVShVqlRK1UZu5VSlRKJVfqwMoySLJMKi2RSqdJS/LSvXTr2whgMeiwG/U4TAacFhPlViNOs5HybEXJaTbitBiptJlLctv1QloMIq8M9OdNvlcpFNzZ2MSDHZ38TksrJjF8vCaJUCIUVFqSeHtygpfOn+XVoYHc8mIQAWUtk2WZSDyJPxLNDmXE8IejuWpDKJ4gFE0Qji+vPiSyFYpMpSKWva1EuLkchSKzMkWvWarSLFZqzAYdZp02U93RZ+4teh1GnRabUY/dqMduygxbWQ161Crxs7iWXCmIKIDbaup4oGMDv9vWgVNMtF/zRCgR1oxkOs3RiXF+ceH8JQGlTG/g7qZmPtDcwp0NTVh0Ypy9WKTSErFkkmRKIiWlSadlklI6W/mQSEvSNYOLQqFArVKiUSlRq1SolUpUy6oteo0arVol5gsUCUmW6Zuf47XhQX41PJQ3NLMYRH63vYP72trF5mbrjAglwpp0tYCiVirZU1vHB5pauKe5lUa7vXANFQRhVUSSSY6Mj/La8BCvjQzlDfuKIFI8RCgpQsFkDKVCiUldHGOmyXSad6en+NXwIK+NDDHk8+U93+oo40BTM3c2NrGnpq5kr2IsCMVElmVGAn7eHB3m8OgIvx0fJ55eWs1k0mi4o6GJDzS3cHdTc9Fc4kKWZeZiQaoMpfe3C0QoKUrfOPsG3x04yocat/GJ5ttotpQXukm31LDfl+ktDQ9xfGoibzKjXq1mb109dzU28f7GZppsdlGyF4R1IpxIcHRinMOjw7w5OsLYQiDv+TqrlXuaW/lAUwt7aourAxJLJ/nF+Gl+MHycmUiA1+/732hVxXN+10uEkiL0qbee5bh7NPfx/soW/rBlD3e52lEpimuC3kI8zq/HRjg8OsKboyPMhvO3Zm+w2rizsYn31Teyr64em15foJYKgnCxtCTRNz/HkfEx3hob5cTURG6zRchcT2t3TR3vb2zkQFML7WXOoutkTIR9/HD4BD8dOUkgmdkJW6tU8ewdj7DDWV/g1q0+EUqKkCTL/HZuiO8PHeONmf7clS1rjDY+3rybjzTuxKErvlnosixz3uPmzdFMSLn4DU4BdFVWsb++gffVN7K7pkZsHy0Iq0iWZYb9Pn4zPsaR8TGOTowTiOdfNqHeauOuxibuamxmb119US7dlWSZI3ODfH/oOIcveo/+RPNtfLhxR1G+R18PEUqK3FIKf5dAMvPLr1Wq+GDtJj7WtItdzoai63ksWiwFvzk2wpHxMQZ93rzntSoVu6pr2FfXwJ7aOrZVuYqqHCwIhSbLMuMLAY5NTvD25ARHxkeZDuVXM81aLXtr63lfQ0PRD7l64mGeH+3mJyPvMBZemhv3vspW/mfLbUVZzb5RIpSUiGgqyS8nTvP9oWOcDSxt995qqeB/NO/i9+q2FH0ynwkF+e34OL8ZH+XI+BgzFw31aFUqdriq2VNbx201dexwVRdlL00QVookywx6vbwzPcnbkxMcmxy/JIRolSp21dSwv76B/XUNbKlyFfUeRJIsc8w9wk9G3uXQ5BmScqZ6a1brinbe33shQkmJkWWZ0/4pfjT8Dr+cOE00nbn8uUap4p7qjXy4cTv7KluKPq0vlpF/PTaa68V5ovlXZFUpFHSWV7DdVc0OVw3bXC6a7Y6i7cUJwo1aiMc5NTvNqZkZTs5Mc3JmKm/5PmSW8G+trGJPbT376uvZXV2LQVP8w6aTET8vjJ3i+dFuJiP+3PEtjho+1rSL363rwlgkKyRvJRFKSlgwGePn473858i7edWTSr2F36vfwkMN2+iwVhawhatHlmWGfN5M725qgnemppgMLlzyOrtez7YqF9td1Wyvqmaby4VdbyhAiwVhdaUkiQseNydnpumenaZ7eppBn5eL/xDo1Wq2V1Wzu6aWPbV17KyuwVgCIQQgnIzz6tRZXhw7xdvukdxxs1rHA/VdfKxpF5vs1YVr4DogQokAwBn/ND8bPcnL4725uScAnTYXDzVs44G6Lsr1pbUh0VRwgXenp+iemeHU7DS9c7Mk0ulLXldntdJVUcWWqiq6KqvYUlklgoqwriXTaQa8HnrnZjk9N8vpuTnOuufz9glZVG+1ZUK6q5odrmo2VVSW1AXu0rLEb+eGeGm8h0NTZ4kt+z/aU97Ehxt38Ds1nRjEpPrrIkKJkCeRTnF49gIvjvXw5kx/bvxTpVBwR2UbDzZs5YBrQ0n+giXSac655+memaZ7ZpqTM9N5l0BfbjGobKqopLO8go0VFdSYLWLoR1hzwokE5z1uzrnnOeuep+8qAcSs1V5UKaymvASvJyPLMucXZvn5WA8/n+hlPrY0b6bJ7OThhm38Xv0Wao32wjVynRKhRLgiXzzCLydP89JYDz2+ydxxo0rDPTUbeaBuC/srW9AoS6dXdLGFeIzTc3PZ3uQsvXOzVwwqVp2Ojc4KOisq2FieubU5ysRkWmFVSLLMxEKAfo+bs+55zs5nQshYwH/JEAxkAkhXRRVdlZWZCmCVi0abHWUJB+uxkJdfTJzmFxO9DAbdueM2jYEH6rt4qH4bWxw1ovPxHohQIlyX4aCbF8d7+MV4LxPLJm3ZtQY+WLuJB+q2sMvZUNJvWIsWg0rf/GzujX/Q583beXa5WouVdqeTjjInbWVO2p3lIqwIN20xfFzweOj3uhnwerngcTPg8xJLXVr9AKgwmnIVvU3lFSKALDMXC/LKRB+/nDid1znTKlXc5ergwfqtvN/VjraEO2e3kgglwg2RZZlTvkl+Md7LK5N9eOJLF8WqNlj5YO0m7qvdzFZHregtLBNPpRj0efN6qP0e9yUrfparNptpspfR4nDQbHfQ4iij2e6g1mot6iWUwvXxx6IM+3wM+X2Ze5+XYb+PEb//skMvkPlD2lJWxkZnea5i11leWZJDMFfjjYc5NHWW/5o8w7H5EaRsLUmJgn2VLTxQ18XBmo1YNGKH6FtNhBLhpqUkibfdw/xi/DSHps4SSsVzz1UbbBys2cDB6k52OhvEH9Er8EYjDHi99HvcDHg9XPB66Pd4rhpWtEoVdTYr9VYbtVYb9VYrdRYbdTYbdRYrZQaDCIRFIJ5KMRlcYGJhgfGFABO52wJjAT++i5beLrcYPtrLnHQ4sxW4MicNNrv4XbyC6UiAX02f47+nznHcPZoLIgDby+p4oK6L+2o3l9yE/9UmQolwS8TTKd6cvcD/mzzD6zP9RFKJ3HMOrZEDrg4O1mxkX2ULelXpTZK9Ub5olGG/j2F/tgec7RGP+H2XXQG0nFGjodpswWU2U22xUG22ZD+2UG2x4DKZsep0IrgUUDyVYj4SZjoUZDoYZCYUyjwOZR8Hg8xHwtf8Oi6TmWZHGc0OBy12B83Zqlqd1SbCxzXIssxg0M1r0+c4NHWO0/6pvOc326v5YO0m7q/dTJ3JUaBWlh4RSoRbLpZOcmRuiENTZ3l9uj93kSkAvUrNvooWDlRv4C5XO5V6SwFbuv5IssxUcIGxQIDxhQCTeb3ohUsuSHglWpWKCqOJSpOJCqOJcpOJSqOJCpMJp8GAw2DAaTDi0Buw6fVibsF1iCaTeGNRvNEovmgUbzSCOxJhLhxiPhJhLhzGHQkzFw5fcr2XKzFqNNQtVsOstuwtUyVrtNnFvKMblJTSvOMZ47Xp87wx08/4sq3eFcCOsnp+p6aTe2o2Ui+CSEGIUCKsqJQkccIzyn9PneW16fNMR/M3JNviqOFuVwcfqN7ABmuV6L2/R4sl/8We90woyNSynvhMKHjJjpvXolQocOj1OPQG7AYDNp0Oq06PVafL3pYem7VaTBotRo0Gk1aLSaPBqNGu+X0rJFkmkkwSSSYIJ5NEEpn7UCJBMBFnIZ65BeMxAvHFj2MEYrFcELnSJNIr0SpVuMzmpQqW2bxU1bJYqLVYcOjFUNx7FUhEeWt2gNemz/PruQGCyaVhZo1Sxd6KZg5Wb+RA9QYqxNBMwYlQIqyaxbX9r0/388ZMf95MdoAqvYU7q9q4s6qd/ZUtmDW6ArW0uMVSSdyRCPPhMHORMPPhMPPZ+7lwGF/2j6w3GiWYiF/7C14HjVKJUaNFp1ahU6nRq9XoVCp0ajValRqdWoVWqUKlVKJSKlArlKiUStTK7L1CccU/zrIsI8kyaVkmJUmkJYmUnL2XZFJSmngqTTydIp5OE08t3SfSKaKpFJFk8pacp1apoixbaXIYDJQbjbkKVMWy+0qTCZtOLwLHCpBkmbOBGd6avcBbMwN0eyfy5oeUaY3c7erg7uoO9le2YhJbva8pIpQIBTMXC3J45gJvTPdzZH4wbydEtULJDmc9d1a18f6qdjqsleINvAAS6TT+ZUMSvlg0VzXIVQuWPQ5nKwyLFYdrzX9Za5QKRabKs1jt0WiwLKsEXa5KtDjcVWYwYtJoxM9pAQQSUX4zN8hbswP8enYAdzx/Pk67tZIDrg7udnWwtay26K/ttZ6JUCKsCfF0iuPuEd6cHeCt2QFGQp685yv1FvZXtrC/soV9FS1iBvw6kUyniaYywyCRbEhZXqlYrF7EUilSkrRU6ZAk0rK07NjV324UikwpXqVUZKorivwqy/KKjC7vXo1epc4NNenVahEq1oGklKbHO8mR+UGOzA3R453Mq4YY1Vr2VTTnKq81RlsBWyvcCBFKhDVpPOzjzWz59W33cF4VBWCDtSoXUnY6G8TVNgWhiC2ulDk6P8SRuSGOuUcIL1vhB9BqqeCuqjbudLWz09kgNjNbp0QoKUITkUm8CS+bbZtQKdb/L2Y8neIdzxhH5jK9ouVXNAbQKJR0OWrZXd7AbmcjO50NYj6KIKxjkiwzsDDHcc8oJ9xjnHCP4o7nryyzaw3sq2jJdk5ai6YaMh93MxweZk/ZbYVuSkGIUFKE/u/wsxyefwubxsY+5+3sd+6jwVhfNGVpTzzM0blMj+m388NMRwN5zytR0Gl3sdvZyO7yRnY5G3DoxI6VgrBWpSSJs4FpTrgzIeQdz2je1coBdEo1O5z17K9oYX9VK502V9EsVQ+nIhz3nuCI57ecD/ajUqj42vb/g1lTesPUIpQUof8c/xmvzx8mlFrqWdQZatlfvo99zr2UaYtn/b0sy0xE/Nk3s1FOeEYZW7b3wKJms5MdZfVsd9azs6yeZkt50byhCcJ6409EOeWd4KR3nG7POD2+SaLp/BVQRpWGHc4Gdpc3sMvZyDZHLVqVukAtvvVSUorewGl+4/kt3b5uknJmiFqBgk7rBj7Z+EfUGKoL3MrVJ0JJkUpJKXoCpzniPkK3/9RFP/Ab2eu8nd2OnZjUpgK39NabjS5wwjOWCyoDwflLXmPT6NlWVs8OZx3bHHVscdSKIR9BWAFpWWI46KHHN8FJzzgnveN5V9hdZNXo2eVsYHd5I7udjXTaXUV3BXJJlhgIDXLU8zbHvMcJLus41hpqeJ9zH/vK91KmLStgKwtLhJISkCkNHuc3nt/SH7yQO65SqNhq28Je5x522LejUxXnH2VfPMIp3wTdnnFOeifo8U1cMnFWAbRYytnqqGOLo4atjlo6bFVF96YoCCttNrpAj2+SXt8kPd5JTvunLpmUCtC0WL0sq2Ons4GWIq1eyrLMWGSMo55jvO09hifhzT1n01jZW3Y77yvfR4OxoWiG2N8LEUpKzHx8nqOeYxz1HGMiOpE7rlPq2GHfzl7nHrbYulAri6dMerGklOZ8YJaT3nHe9YzT65tkMuK/5HVapYpN9mo226vZlL21WipEUBGErPlYiD7/FGf805zxz3DaN8lsLHjJ6wwqDZvtNWwvq2OHMxNEynTFV6VdbiY2y1HP2xz1HGM6Np07rlfq2V22k71lt7PJ1lkUixFuJRFKSthEZJKj3rc56nmb+fhSOdWoMrLTsZ3bynbTZd1c1AFlkScepseb6d0t3i6eaAeZoLLBVsUmWyakdNpdtFsrxUUGhaImyzJTkQDnAjOcCUzT55vmTGCa+dil11pSoqDDVskWRy1bs7cWS0VJXCBwJjbLce8JjnmPMxYZzx3XKNRss29jr3MP2+xb0SrFFgZXIkKJgCzLDIWHc+Oc/uTSahajysh2+zZ2l+2ky7q5aId4LibLMqNhL6d9mV5gn3+aM/5pQqlLt11XoqDJ7KTDVkmbtZIOayXt1krqTQ6xc6Sw7gQSUfoX5riw7Na/MJt3zZhFShQ0W8pz1cTF+1LZN0iWZSajk5zwvcs7vnfzgogSJZttm9jrvJ1djh0YVIYCtnT9EKFEyCPJEv3BCxz3nuCE7528gKJVatli62KHfRvb7NuwakrrCr+SLDMR9uUCSp9/mnOBGXyJyGVfr1epaTaX02wpp8VSTqulnBZLBU2msqJaRSCsP7IsMx8LMRicZyjoZijkZijoZjA4f9nqB2T2A2qxVOSFjw22qpIJIIvScpqB0CAnfd286zvJbHwu95wSJZusnexx3sYu+46SXNL7XolQIlyRJEtcCA3wjjfTC3AnlrZ+V6CgzdzKDsd2dti3U613leQkLVmWmY+H6A/M5vUuBxbmiUuXv2qsEgV1JgctlnIaTWU0mstoMjtpNDtxGaxFOdlPKIxQMs5oyMNI2MtoyMNoyMtIyMNQ0H3Zqt+iGqONdkslHbZM1a/DWkWzpbxkd0mNpqOcDvRx0neKU4GevO0WNAo1m22b2eXYyU77dhFE3iMRSoTrsjiD/F1fNyf93YxGxvKer9JVscOxje32bbSb20piHsrVpGWJ8bAv1/scDnpyvdKr/THQKdXUmxw0mp00mBzUmuzUGR3UmxzUGu3oRIVFWEaSZdyxEBMRHxNhP+MRH5NhP2PZEHLxhemWU6KgPhuOM5W8ity9WB6f2Vm1x9/DSf8pzi6cIyUvdTJMKhPb7FvZ4djGFluXGJq5hUQoEW6KJ+6l29/NSf8pziycJS0vXQ3WoDKw2bqJbfYtbLVtwa61F66ha8zysvlIyMNItvc6GvYyEfaRkqWrfn6F3ky9MRNWqg02XAYr1UYbNQYbLoMNi0ZXkhWrYpWU0sxFg0xFA8xEA0xHAkxFA0xFAkyG/UxG/FesyC1y6kzZipyTRnOmMieGES+VklJcCA1wyt/DqUAvU9GpvOerdJW5ynC7pU2smlkhIpQI79ny0mZPoJdgKn9JYKOxga32LWyzbaXF3Cx+ma8gJUlMRfyMZnu5E2E/ExE/E2EfExHfZfd6uJhJrcWVDSuVeguVejMVBkv2ceZWrjeLZc0FJssygWSMuViQ+WiQudiyW/bjmegC87Eg13qjVSkUuAw26ox26kwO6kx26k1lNJnKaDCXYdHoV+Wc1iNvwktvoI8efw+nA2eISUsr7pQoabO0st22lR2OHSU7RL3aRCgRbilJlhgJj+Z6G8Ph4bznjSoDm6yddNm62GLbTLmuvEAtXV9kWcafiObK9FMRP9PRANORhcx9NIA/Eb3ur2fT6HHqzJTpTDh1Jpx6U+6xQ2vEpjVg1xqwaQzYtUb0KrV4Q76KlCSxkIwSSETxZ2+BRARvIoInFsITj+BNhPHEw3hiIbzxMMlrVMUWaZQqqg1Wqg02qo22XIWs3uSgzuTAZbCKkHmdElKC8wv99AZOc3qhj8mLqiFWtZWt9i622rbSZdtUlDter3UilAgrKpAM0Bvo45S/h75AH+F0/koVl76KLbYuuqyb2WDtEGOz70EklWAmmgkp+b3vUK737Y4Fr/uP4XJapQq71ohVo8ei0WPW6LBo9FjUutxjs1qHSa3FoNZiUGmW7pc91ipVaFRqNAplQUNOWpZIpNMkpBTxdIpoOkk0nSCaSmYepxJE00kiqQShVJxgMkYoGc8+jhNKxghmj/sTkcsul70eNo2ByrxKVqayVaGzUG3MBJEynUlMfr5JkiwxEZ2kL3CG3sBp+oP9uUtuQGbCfrOpKVfJbTI1ohTL+AtKhBJh1UiyxHB4JNNLCfQxGBpCYukPpAIFTaYmOi0b2GjdQIelXYSUW0ySZQKJKJ54GG8823OPh/I+Xt7TDySiNxVirkVBpgKgU6nRKtVolSrUShUqhRKVQpG9V6Jc9vhKf5bl7HlJSKRlmbQkkZYXb3ImgEgpEuk0SSlFXEqRXqG3L4tGh11rzFaYDDh0Jpw6I06dGaduqRq1+FhMXL61FkPIuYXznAue59zCecLp/Mm+ZVoHXdmO0GZrp1gts8aIUCIUTCQV4czCOU4v9NEXOMPcsvX+kB9SNlg7aDe3Y1IbC9Ta0iTLMpFUAn8yE1QWEtFMpSAVW6oYJOMEU5lKQmRZhSGWXqw6ZKoQCSl97X+wAJQoMKjzKzp6lQZj9rFZo8Os1l2mQqTHqtFnhrm0BqwaQ0nsWrqWSLLEeGSC88H+K4YQnVJHh6WdLdkh42p9tRiKXMNEKBHWDE/cm3ljyb65XC6k1Bpq2WBpp93SToe5HaeudK+mud6kZYmklCaRThOXUnnVi4SUJimlkbKVjZQsIeXuZVLS1as1SxUVBSqlMlddUWerLYvVGK0qe69U5x6rCzyUJFy/hJRgKDRMf+gC/cELDIQGiabz51IthpCN2Yprk7Gx5LcoWE9EKClCSSmMSqFFqVjf12PJhZSFc5wPXmA2PnvJa8q1Ttot7bSb22gzt1JnrBWrewShSASSAQZCgwyEBukPDjAcHs7bfgBAr9TRZm6j07qxaEJIIh1Aq7IVuhkFIUJJETrr/Q4Dge9RbTpAnekglca96z6gAPgTAS6ELtAfHKA/2M9oZAz5ogWTOqWOFlMzbeZW2syttJpbsJTYdviCsB6lpBTj0QkGQoMMZoPI8guFLrJpbHRkK6UbLO3UGeuKoiMSSowyEf5vJkOHiKXmuL/pVZSK9R2ubsaaDCUPPvgg3d3dzM3N4XA4OHjwIP/4j/9ITU3NdX1+qYeSt6b+F/PRY7mPNUpL0QUUyOyPMhQa5nywn4HQIEPh4UtKuZDZ9KjF3EyzqZkWUzONpgZxlU5BKCBZlpmLzzMcHmY4PMJQaJiRyCgJKX8vnsyQbQ2t5lY6zG20W9qp1FUUzXDb8iASSJzPHVeg4kDd97DrNhawdYWxJkPJV7/6Vfbt20d1dTWTk5P8+Z//OQBHjhy5rs8v9VAiy2k8sW4mQoeYDP+KeHqpt5EJKHdTYzpAlWEfKmXxbKwkyRJT0alcuXcgNMR0bPqS1ylRUmespdnURIupmWZTE7WG2nVf8hWEtUiWZXxJPyPh0bwQcvGEVMhclbzV3JKrdLaYmjEW0eR2WZYJJoeYCr/GZOhXlwSRCsMeas0HqTEdQKdyFLClhbMmQ8nFXnrpJR5++GHi8TgazaW9/Hg8Tjy+tE9AIBCgoaGB8fHxkgwly8lyGm+sh8nw68yEDxNLL11UT6XQ876ab2HXtRewhSsrnAozEhplJJK5jYZHCSQXLnmdSqFiv3Mff9T0iQK0UhCK01BomG8O/CvB1KVXHlYr1NQZa2kyNtJkbqLJ2ECVvqqo9wl5e+YvmY0sda4VqCg37KLadDfVpjtLNogst7CwQH19PX6/H5vt+ufVrFoo8Xq9PPbYY0xOTvLrX//6sq/58pe/zFe+8pXVaI4gCIIgCCtsfHycurq66379ioeSp556im984xtEIhH27t3Lyy+/jNPpvOxrL66USJKE1+tFo9GUXMVkMWWW0jmDOO9SOu9SPGcozfMuxXMGcd5nzpxhw4YNKG9g358bDiXXU804fvw4u3fvBsDtduP1ehkdHeUrX/kKNpuNl19++YYmOJXi3JJSPGcQ511K512K5wyled6leM4gzvtmzvuGZwR+9rOf5eMf//hVX9PU1JR7XF5eTnl5OR0dHXR2dlJfX8/Ro0fZt2/fjf7TgiAIgiAUsRsOJYsh42YsFmWWD9EIgiAIgiDATYSS63Xs2DGOHTvGHXfcgcPhYGhoiC9+8Yu0trbecJVEp9PxpS99CZ1Ot0KtXXtK8ZxBnHcpnXcpnjOU5nmX4jmDOO+bOe8Vm+ja29vLE088walTpwiHw1RXV3Pffffxt3/7t9TW1q7EPykIgiAIwjq2preZFwRBEAShdBTv7jaCIAiCIKwrIpQIgiAIgrAmiFAiCIIgCMKaIEKJIAiCIAhrwroNJfF4nO3bt6NQKOju7i50c1bcgw8+SENDA3q9nurqaj75yU8yNTVV6GatmJGREf7kT/6E5uZmDAYDra2tfOlLXyKRSFz7k9e5v//7v2f//v0YjUbsdnuhm7NivvnNb9Lc3Ixer2fXrl289dZbhW7SinrzzTf5/d//fWpqalAoFLzwwguFbtKKe/rpp7ntttuwWCxUVlby8MMPc/78+Wt/4jr3rW99i61bt2K1WrFarezbt49XXnml0M1aVU8//TQKhYInn3zyhj5v3YaSv/zLv6SmpqbQzVg1Bw4c4Mc//jHnz5/npz/9KYODg3zkIx8pdLNWzLlz55AkiW9/+9v09fXx1a9+lX/913/lC1/4QqGbtuISiQQf/ehHeeyxxwrdlBXzox/9iCeffJK/+Zu/4eTJk9x5553cf//9jI2NFbppKyYcDrNt2za+8Y1vFLopq+bw4cM8/vjjHD16lEOHDpFKpbj33nsJh8OFbtqKqqur4x/+4R84ceIEJ06c4AMf+AAPPfQQfX19hW7aqjh+/Djf+c532Lp1641/srwO/fKXv5Q3btwo9/X1yYB88uTJQjdp1b344ouyQqGQE4lEoZuyav7pn/5Jbm5uLnQzVs0zzzwj22y2QjdjRezZs0d+9NFH845t3LhR/qu/+qsCtWh1AfLzzz9f6Gasurm5ORmQDx8+XOimrDqHwyH/27/9W6GbseKCwaDc3t4uHzp0SL7rrrvkJ5544oY+f91VSmZnZ/mzP/sz/uM//gOj0Vjo5hSE1+vl+9//Pvv370ej0RS6OasmEAhQVlZW6GYI71EikeCdd97h3nvvzTt+7733cuTIkQK1SlgNgUAAoKR+j9PpNM899xzhcLgkrvn2+OOP88ADD3Dw4MGb+vx1FUpkWebTn/40jz76aO4qxKXkqaeewmQy4XQ6GRsb48UXXyx0k1bN4OAgX//613n00UcL3RThPXK73aTTaaqqqvKOV1VVMTMzU6BWCStNlmU+//nPc8cdd9DV1VXo5qy43t5ezGYzOp2ORx99lOeff55NmzYVulkr6rnnnuPdd9/l6aefvumvsSZCyZe//GUUCsVVbydOnODrX/86CwsL/PVf/3Whm3xLXO95L/qLv/gLTp48yauvvopKpeJTn/pU7iKH68WNnjPA1NQU9913Hx/96Ef50z/90wK1/L25mfMudgqFIu9jWZYvOSYUj89+9rP09PTwwx/+sNBNWRUbNmygu7ubo0eP8thjj/HII49w5syZQjdrxYyPj/PEE0/wve99D71ef9NfZ01sM+92u3G73Vd9TVNTEx//+Mf5+c9/nvfGlU6nUalU/OEf/iHf/e53V7qpt9T1nvflvsETExPU19dz5MiRdVUSvNFznpqa4sCBA9x+++08++yzKJVrIkffsJv5Xj/77LM8+eST+P3+FW7d6kokEhiNRn7yk5/woQ99KHf8iSeeoLu7m8OHDxewdatDoVDw/PPP8/DDDxe6Kavic5/7HC+88AJvvvkmzc3NhW5OQRw8eJDW1la+/e1vF7opK+KFF17gQx/6ECqVKncsnU6jUChQKpXE4/G8565kxa4SfCPKy8spLy+/5uu+9rWv8Xd/93e5j6empvjgBz/Ij370I26//faVbOKKuN7zvpzFLBmPx29lk1bcjZzz5OQkBw4cYNeuXTzzzDPrNpDAe/teFxutVsuuXbs4dOhQXig5dOgQDz30UAFbJtxqsizzuc99jueff5433nijZAMJZP4v1tv79Y2455576O3tzTv2mc98ho0bN/LUU09dVyCBNRJKrldDQ0Pex2azGYDW1lbq6uoK0aRVcezYMY4dO8Ydd9yBw+FgaGiIL37xi7S2tq6rKsmNmJqa4u6776ahoYF//ud/Zn5+Pvecy+UqYMtW3tjYGF6vl7GxMdLpdG4fnra2ttzP/Hr3+c9/nk9+8pPs3r2bffv28Z3vfIexsbGinjMUCoUYGBjIfTw8PEx3dzdlZWWXvLcVi8cff5wf/OAHvPjii1gsltycIZvNhsFgKHDrVs4XvvAF7r//furr6wkGgzz33HO88cYb/Nd//Vehm7ZiLBbLJXOFFudA3tAcolu6FmiVDQ8Pl8SS4J6eHvnAgQNyWVmZrNPp5KamJvnRRx+VJyYmCt20FfPMM8/IwGVvxe6RRx657Hm//vrrhW7aLfUv//IvcmNjo6zVauWdO3cW/TLR119//bLf10ceeaTQTVsxV/odfuaZZwrdtBX1x3/8x7mf7YqKCvmee+6RX3311UI3a9XdzJLgNTGnRBAEQRAEYf0O0guCIAiCUFREKBEEQRAEYU0QoUQQBEEQhDVBhBJBEARBENYEEUoEQRAEQVgTRCgRBEEQBGFNEKFEEARBEIQ1QYQSQRAEQRDWBBFKBEEQBEFYE0QoEQRBEARhTRChRBAEQRCENeH/A32m0EKAuoNVAAAAAElFTkSuQmCC",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "id": "3f348ef8",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "pt.axis(\"equal\")\n",
     "pt.contour(xmesh, ymesh, fmesh)\n",
@@ -1088,8 +1225,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b3d4208f",
-   "metadata": {},
+   "id": "b4e35f32",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Find guesses"
    ]
@@ -1097,8 +1236,11 @@
   {
    "cell_type": "code",
    "execution_count": 3,
-   "id": "d7e4a182",
-   "metadata": {},
+   "id": "41aa6226",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "x = guesses[-1]\n",
@@ -1107,8 +1249,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fbc59d26",
-   "metadata": {},
+   "id": "03977607",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Run it!"
    ]
@@ -1116,17 +1260,12 @@
   {
    "cell_type": "code",
    "execution_count": 4,
-   "id": "18be8fa1",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "[ 0.69230769 -0.38461539]\n"
-     ]
-    }
-   ],
+   "id": "318314e2",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "def f1d(alpha):\n",
     "    return f(x + alpha*s)\n",
@@ -1139,8 +1278,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7f40f5f6",
-   "metadata": {},
+   "id": "a0261d67",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "What happened?"
    ]
@@ -1148,30 +1289,12 @@
   {
    "cell_type": "code",
    "execution_count": 5,
-   "id": "dbdb7d4e",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "[<matplotlib.lines.Line2D at 0x12a472ee0>]"
-      ]
-     },
-     "execution_count": 5,
-     "metadata": {},
-     "output_type": "execute_result"
-    },
-    {
-     "data": {
-      "image/png": "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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "id": "43d274e3",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "pt.axis(\"equal\")\n",
     "pt.contour(xmesh, ymesh, fmesh, 50)\n",
@@ -1181,16 +1304,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "851db164",
-   "metadata": {},
+   "id": "a38a2dab",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Note that we did only one iteration here. We can easily add more using our previous guesses."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "f1300342",
-   "metadata": {},
+   "id": "54215dfb",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Conjugate gradient method\n",
     "In the CG method we define so-called conjugate directions and two vectors \n",
@@ -1201,8 +1328,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "15530c95",
-   "metadata": {},
+   "id": "b78458c4",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{s}^T\\boldsymbol{A}\\boldsymbol{t}= 0.\n",
@@ -1211,8 +1340,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "35222dc4",
-   "metadata": {},
+   "id": "e4ff83c9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "The philosophy of the CG method is to perform searches in various conjugate directions\n",
     "of our vectors $\\boldsymbol{x}_i$ obeying the above criterion, namely"
@@ -1220,8 +1351,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a5ab4e81",
-   "metadata": {},
+   "id": "8f583f25",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{x}_i^T\\boldsymbol{A}\\boldsymbol{x}_j= 0.\n",
@@ -1230,8 +1363,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "922a54c4",
-   "metadata": {},
+   "id": "cef5af3c",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Two vectors are conjugate if they are orthogonal with respect to \n",
     "this inner product. Being conjugate is a symmetric relation: if $\\boldsymbol{s}$ is conjugate to $\\boldsymbol{t}$, then $\\boldsymbol{t}$ is conjugate to $\\boldsymbol{s}$."
@@ -1239,8 +1374,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "606d1a71",
-   "metadata": {},
+   "id": "121f7cf6",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Conjugate gradient method\n",
     "An example is given by the eigenvectors of the matrix"
@@ -1248,8 +1385,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e46ac6fc",
-   "metadata": {},
+   "id": "bd6f31c1",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{v}_i^T\\boldsymbol{A}\\boldsymbol{v}_j= \\lambda\\boldsymbol{v}_i^T\\boldsymbol{v}_j,\n",
@@ -1258,16 +1397,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aec2962a",
-   "metadata": {},
+   "id": "49e134c5",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "which is zero unless $i=j$."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "f62eeb16",
-   "metadata": {},
+   "id": "246cde51",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Conjugate gradient method\n",
     "Assume now that we have a symmetric positive-definite matrix $\\boldsymbol{A}$ of size\n",
@@ -1276,8 +1419,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bde9cf46",
-   "metadata": {},
+   "id": "8f37039b",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{x}_{i+1}=\\boldsymbol{x}_{i}+\\alpha_i\\boldsymbol{p}_{i}.\n",
@@ -1286,8 +1431,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "1b354afe",
-   "metadata": {},
+   "id": "87526237",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "We assume that $\\boldsymbol{p}_{i}$ is a sequence of $n$ mutually conjugate directions. \n",
     "Then the $\\boldsymbol{p}_{i}$  form a basis of $R^n$ and we can expand the solution \n",
@@ -1296,8 +1443,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a3e7fc78",
-   "metadata": {},
+   "id": "3e9efa18",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{x}  = \\sum^{n}_{i=1} \\alpha_i \\boldsymbol{p}_i.\n",
@@ -1306,8 +1455,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9608b5e1",
-   "metadata": {},
+   "id": "93a7fb4b",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Conjugate gradient method\n",
     "The coefficients are given by"
@@ -1315,8 +1466,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d667abb4",
-   "metadata": {},
+   "id": "8a737bc7",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\mathbf{A}\\mathbf{x} = \\sum^{n}_{i=1} \\alpha_i \\mathbf{A} \\mathbf{p}_i = \\mathbf{b}.\n",
@@ -1325,16 +1478,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2b909963",
-   "metadata": {},
+   "id": "383e3298",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Multiplying with $\\boldsymbol{p}_k^T$  from the left gives"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "0e9960df",
-   "metadata": {},
+   "id": "c25b2dfa",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{p}_k^T \\boldsymbol{A}\\boldsymbol{x} = \\sum^{n}_{i=1} \\alpha_i\\boldsymbol{p}_k^T \\boldsymbol{A}\\boldsymbol{p}_i= \\boldsymbol{p}_k^T \\boldsymbol{b},\n",
@@ -1343,16 +1500,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4d334201",
-   "metadata": {},
+   "id": "4b3f5db3",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "and we can define the coefficients $\\alpha_k$ as"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "f06c6496",
-   "metadata": {},
+   "id": "ebd88b2e",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\alpha_k = \\frac{\\boldsymbol{p}_k^T \\boldsymbol{b}}{\\boldsymbol{p}_k^T \\boldsymbol{A} \\boldsymbol{p}_k}\n",
@@ -1361,8 +1522,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "69adaefe",
-   "metadata": {},
+   "id": "baa81bcb",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Conjugate gradient method and iterations\n",
     "\n",
@@ -1379,8 +1542,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "35cf8e92",
-   "metadata": {},
+   "id": "46e17082",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{x}_0=0,\n",
@@ -1389,16 +1554,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "686fe37b",
-   "metadata": {},
+   "id": "ed1e6366",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "or consider the system"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "b6cdf1da",
-   "metadata": {},
+   "id": "44dfe77f",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{A}\\boldsymbol{z} = \\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x}_0,\n",
@@ -1407,16 +1576,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f03df570",
-   "metadata": {},
+   "id": "51b93467",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "instead."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "d2619eaa",
-   "metadata": {},
+   "id": "659810a9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Conjugate gradient method\n",
     "One can show that the solution $\\boldsymbol{x}$ is also the unique minimizer of the quadratic form"
@@ -1424,8 +1597,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7c99b348",
-   "metadata": {},
+   "id": "62890f2c",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "f(\\boldsymbol{x}) = \\frac{1}{2}\\boldsymbol{x}^T\\boldsymbol{A}\\boldsymbol{x} - \\boldsymbol{x}^T \\boldsymbol{x} , \\quad \\boldsymbol{x}\\in\\mathbf{R}^n.\n",
@@ -1434,8 +1609,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "06107635",
-   "metadata": {},
+   "id": "c0fe14af",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "This suggests taking the first basis vector $\\boldsymbol{p}_1$ \n",
     "to be the gradient of $f$ at $\\boldsymbol{x}=\\boldsymbol{x}_0$, \n",
@@ -1444,8 +1621,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7d57e70c",
-   "metadata": {},
+   "id": "1e52026b",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{A}\\boldsymbol{x}_0-\\boldsymbol{b},\n",
@@ -1454,8 +1633,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d07728a4",
-   "metadata": {},
+   "id": "bcf59df7",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "and \n",
     "$\\boldsymbol{x}_0=0$ it is equal $-\\boldsymbol{b}$.\n",
@@ -1465,8 +1646,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "64a6011d",
-   "metadata": {},
+   "id": "292e8dc5",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Conjugate gradient method\n",
     "Let  $\\boldsymbol{r}_k$ be the residual at the $k$-th step:"
@@ -1474,8 +1657,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "395293fb",
-   "metadata": {},
+   "id": "093ad28a",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{r}_k=\\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x}_k.\n",
@@ -1484,8 +1669,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2742cfb7",
-   "metadata": {},
+   "id": "9ee5dacc",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Note that $\\boldsymbol{r}_k$ is the negative gradient of $f$ at \n",
     "$\\boldsymbol{x}=\\boldsymbol{x}_k$, \n",
@@ -1498,8 +1685,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6bca98e3",
-   "metadata": {},
+   "id": "68f99505",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{p}_{k+1}=\\boldsymbol{r}_k-\\frac{\\boldsymbol{p}_k^T \\boldsymbol{A}\\boldsymbol{r}_k}{\\boldsymbol{p}_k^T\\boldsymbol{A}\\boldsymbol{p}_k} \\boldsymbol{p}_k.\n",
@@ -1508,8 +1697,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0b38ac3f",
-   "metadata": {},
+   "id": "bcac1586",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Conjugate gradient method\n",
     "We can also  compute the residual iteratively as"
@@ -1517,8 +1708,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0588ed16",
-   "metadata": {},
+   "id": "ce27b155",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{r}_{k+1}=\\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x}_{k+1},\n",
@@ -1527,16 +1720,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2f7bd339",
-   "metadata": {},
+   "id": "524bcfdb",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "which equals"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "5d46e7c8",
-   "metadata": {},
+   "id": "1386c597",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{b}-\\boldsymbol{A}(\\boldsymbol{x}_k+\\alpha_k\\boldsymbol{p}_k),\n",
@@ -1545,16 +1742,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a6dfda96",
-   "metadata": {},
+   "id": "6f813648",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "or"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "bea30687",
-   "metadata": {},
+   "id": "4c3248f2",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "(\\boldsymbol{b}-\\boldsymbol{A}\\boldsymbol{x}_k)-\\alpha_k\\boldsymbol{A}\\boldsymbol{p}_k,\n",
@@ -1563,16 +1764,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ec002ff0",
-   "metadata": {},
+   "id": "9bc69068",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "which gives"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "a45514a5",
-   "metadata": {},
+   "id": "14e706f1",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{r}_{k+1}=\\boldsymbol{r}_k-\\boldsymbol{A}\\boldsymbol{p}_{k},\n",
@@ -1581,8 +1786,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "60756713",
-   "metadata": {},
+   "id": "8ff319c8",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Revisiting our first homework\n",
     "\n",
@@ -1603,8 +1810,11 @@
   {
    "cell_type": "code",
    "execution_count": 6,
-   "id": "9e6108fd",
-   "metadata": {},
+   "id": "7e7faa97",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "m = 100\n",
@@ -1614,8 +1824,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "146e4fe9",
-   "metadata": {},
+   "id": "7885df38",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "with $x_i \\in [0,1] $ is chosen randomly using a uniform distribution. Additionally we have a stochastic noise chosen according to a normal distribution $\\cal {N}(0,1)$. \n",
     "The linear regression model is given by"
@@ -1623,8 +1835,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c5c0a7f1",
-   "metadata": {},
+   "id": "20151eb1",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "h_\\beta(x) = \\boldsymbol{y} = \\beta_0 + \\beta_1 x,\n",
@@ -1633,16 +1847,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f5f1aea6",
-   "metadata": {},
+   "id": "87c3b2cd",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "such that"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "76b1993f",
-   "metadata": {},
+   "id": "493e2541",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{y}_i = \\beta_0 + \\beta_1 x_i.\n",
@@ -1651,8 +1869,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b5a211bb",
-   "metadata": {},
+   "id": "8a082762",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Gradient descent example\n",
     "\n",
@@ -1663,8 +1883,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4b0b1b01",
-   "metadata": {},
+   "id": "5c54bcb6",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "X \\equiv \\begin{bmatrix}\n",
@@ -1677,16 +1899,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c5751686",
-   "metadata": {},
+   "id": "23d09807",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "The cost/loss/risk function is given by ("
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "a2d6f6a6",
-   "metadata": {},
+   "id": "e4d67729",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "C(\\beta) = \\frac{1}{n}||X\\beta-\\mathbf{y}||_{2}^{2} = \\frac{1}{n}\\sum_{i=1}^{100}\\left[ (\\beta_0 + \\beta_1 x_i)^2 - 2 y_i (\\beta_0 + \\beta_1 x_i) + y_i^2\\right]\n",
@@ -1695,16 +1921,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "af74580d",
-   "metadata": {},
+   "id": "2eef4f99",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "and we want to find $\\beta$ such that $C(\\beta)$ is minimized."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "949f8aab",
-   "metadata": {},
+   "id": "56f73ade",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## The derivative of the cost/loss function\n",
     "\n",
@@ -1713,8 +1943,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5e3860a4",
-   "metadata": {},
+   "id": "8deab8b6",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\nabla_{\\beta} C(\\beta) = \\frac{2}{n}\\begin{bmatrix} \\sum_{i=1}^{100} \\left(\\beta_0+\\beta_1x_i-y_i\\right) \\\\\n",
@@ -1725,16 +1957,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "765febad",
-   "metadata": {},
+   "id": "fd240c75",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "where $X$ is the design matrix defined above."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "65781e41",
-   "metadata": {},
+   "id": "fdf6f2dd",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## The Hessian matrix\n",
     "The Hessian matrix of $C(\\beta)$ is given by"
@@ -1742,8 +1978,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7e1e9714",
-   "metadata": {},
+   "id": "f930ee8a",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{H} \\equiv \\begin{bmatrix}\n",
@@ -1755,16 +1993,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9d48eebb",
-   "metadata": {},
+   "id": "898e06cb",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "This result implies that $C(\\beta)$ is a convex function since the matrix $X^T X$ always is positive semi-definite."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "fd88e7fd",
-   "metadata": {},
+   "id": "81725bf9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Simple program\n",
     "\n",
@@ -1773,8 +2015,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e12fb5d1",
-   "metadata": {},
+   "id": "4ef5633f",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\beta_{k+1} = \\beta_k - \\gamma \\nabla_\\beta C(\\beta_k), \\ k=0,1,\\cdots\n",
@@ -1783,8 +2027,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "eeb13498",
-   "metadata": {},
+   "id": "142ffc92",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "We can use the expression we computed for the gradient and let use a\n",
     "$\\beta_0$ be chosen randomly and let $\\gamma = 0.001$. Stop iterating\n",
@@ -1796,8 +2042,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7ffca923",
-   "metadata": {},
+   "id": "28051170",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Gradient Descent Example\n",
     "\n",
@@ -1807,31 +2055,12 @@
   {
    "cell_type": "code",
    "execution_count": 7,
-   "id": "9321710e",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Eigenvalues of Hessian Matrix:[0.39227722 4.38168146]\n",
-      "[[3.8976899 ]\n",
-      " [3.03844474]]\n",
-      "[[3.8976899 ]\n",
-      " [3.03844474]]\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": "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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "id": "481d02c8",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "\n",
     "# Importing various packages\n",
@@ -1883,8 +2112,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e65d5b5b",
-   "metadata": {},
+   "id": "35b0af87",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## And a corresponding example using **scikit-learn**"
    ]
@@ -1892,19 +2123,12 @@
   {
    "cell_type": "code",
    "execution_count": 8,
-   "id": "e73c4b82",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "[[3.81448757]\n",
-      " [3.3421718 ]]\n",
-      "[3.83247778] [3.40246301]\n"
-     ]
-    }
-   ],
+   "id": "d0822e39",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "# Importing various packages\n",
     "from random import random, seed\n",
@@ -1926,8 +2150,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0cffa723",
-   "metadata": {},
+   "id": "af7ac4d0",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Gradient descent and Ridge\n",
     "\n",
@@ -1936,8 +2162,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e70974bf",
-   "metadata": {},
+   "id": "9e04fb04",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "C_{\\text{ridge}}(\\beta) = \\frac{1}{n}||X\\beta -\\mathbf{y}||^2 + \\lambda ||\\beta||^2, \\ \\lambda \\geq 0.\n",
@@ -1946,16 +2174,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8e2c0506",
-   "metadata": {},
+   "id": "740b9955",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "In order to minimize $C_{\\text{ridge}}(\\beta)$ using GD we adjust the gradient as follows"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "673104d6",
-   "metadata": {},
+   "id": "c3ffbc6f",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\nabla_\\beta C_{\\text{ridge}}(\\beta)  = \\frac{2}{n}\\begin{bmatrix} \\sum_{i=1}^{100} \\left(\\beta_0+\\beta_1x_i-y_i\\right) \\\\\n",
@@ -1966,16 +2198,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f5d61a03",
-   "metadata": {},
+   "id": "20eb1fff",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "We can easily extend our program to minimize $C_{\\text{ridge}}(\\beta)$ using gradient descent and compare with the analytical solution given by"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "7e9aec7d",
-   "metadata": {},
+   "id": "e995e244",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\beta_{\\text{ridge}} = \\left(X^T X + n\\lambda I_{2 \\times 2} \\right)^{-1} X^T \\mathbf{y}.\n",
@@ -1984,8 +2220,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "54248fbe",
-   "metadata": {},
+   "id": "1c300f84",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## The Hessian matrix for Ridge Regression\n",
     "The Hessian matrix of Ridge Regression for our simple example  is given by"
@@ -1993,8 +2231,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0b57c03b",
-   "metadata": {},
+   "id": "7d165637",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{H} \\equiv \\begin{bmatrix}\n",
@@ -2006,8 +2246,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "562d6a77",
-   "metadata": {},
+   "id": "08f0c5d1",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "This implies that the Hessian matrix  is positive definite, hence the stationary point is a\n",
     "minimum.\n",
@@ -2018,8 +2260,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "018079a6",
-   "metadata": {},
+   "id": "7d06856d",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Program example for gradient descent with Ridge Regression"
    ]
@@ -2027,31 +2271,12 @@
   {
    "cell_type": "code",
    "execution_count": 9,
-   "id": "12f965e7",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Eigenvalues of Hessian Matrix:[0.31252985 4.57630515]\n",
-      "[[4.06031839]\n",
-      " [3.01099015]]\n",
-      "[[4.05965043]\n",
-      " [3.01153127]]\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkMAAAHFCAYAAADxOP3DAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy81sbWrAAAACXBIWXMAAA9hAAAPYQGoP6dpAABS40lEQVR4nO3deVxU5eIG8GfYBtwwUFQEgdDAJTXXykjQtMXMJfNqaeive7PSTK1bequrttGe3tSrtmjdwkwFszLTEhRzuZjanmUXFRV3A5dEGd7fH9OMDLOdGeZsc57v58NH53DmzHvOmZnz8J53MQkhBIiIiIgMKkTtAhARERGpiWGIiIiIDI1hiIiIiAyNYYiIiIgMjWGIiIiIDI1hiIiIiAyNYYiIiIgMjWGIiIiIDI1hiIiIiAyNYYhU8e233+Kee+5BamoqoqKiEBUVhTZt2mDcuHHYvn27YuWYMWMGTCaTw7Lk5GSMGTNG1tfdvHkzZsyYgd9//71O2xkzZgySk5MDUiatOHToEGbMmIFdu3apXRTNKCwshMlkQmFhYcC2uXfvXgwYMAAxMTEwmUyYNGlSwLbtSnJyMkwmk/2nfv366NKlC+bMmYPaEyH4sr/B+Bkg5YWpXQAyngULFmDChAlIS0vDQw89hPbt28NkMuGnn37CkiVL0L17d+zZswepqamqlC8/Px+NGjWS9TU2b96MmTNnYsyYMWjcuLGsr6U3hw4dwsyZM5GcnIzOnTurXZygNXnyZGzbtg1vv/02mjdvjhYtWsj+mr169cLLL78MwHqeX331VTz44IOoqKjAP/7xD/t6Xbp0wZYtW9CuXTvZy0QEMAyRwr766is88MADGDBgAJYvX46IiAj77/r06YPx48dj2bJliIqK8ridc+fOoV69erKU8aqrrpJlu0Ra8v3336NHjx4YPHhwQLZnsVhQVVUFs9nsdp3GjRvj6quvtj++4YYb0KpVKyxYsMAhDDVq1MhhPSK58TYZKeq5555DaGgoFixY4BCEarrjjjsQHx9vfzxmzBg0aNAA3333Hfr374+GDRuib9++AIB169Zh0KBBSEhIQGRkJFq3bo1x48bh+PHjTtv99NNP0blzZ5jNZqSkpNj/Qq3N1W2yiooKPPLII0hJSUFERARatmyJSZMm4ezZsw7rmUwmTJgwAf/5z3/Qtm1b1KtXD506dcInn3xiX2fGjBn4+9//DgBISUmx3zbwdktg8eLFSEtLg9lsRtu2bfHuu++6XO/ChQt45plnkJ6eDrPZjKZNm2Ls2LE4duyYw3rr169HZmYmYmNjERUVhVatWuH222/HuXPn7OtUVlbiqaeeQtu2bREZGYnY2FhkZWVh8+bN9nWEEJg3bx46d+6MqKgoXHbZZRg2bBj+97//ObxeZmYmOnTogOLiYmRkZKBevXq4/PLL8fzzz6O6uhqA9fZI9+7dAQBjx461H5sZM2Z4PDaHDx/GuHHjkJCQgIiICKSkpGDmzJmoqqqyl/GWW25BbGws9u/fb3/euXPn0L59e7Rt29Z+Lvfs2YOxY8eiTZs2qFevHlq2bImBAwfiu+++c3hN262c3NxcPPbYY2jRogUaNGiAgQMH4siRIzh9+jTuvfdeNGnSBE2aNMHYsWNx5swZh23Y3i8LFizAFVdcAbPZjHbt2uGDDz7wuL8227dvx2233YaYmBhERkbiqquuwocffujxObZy79mzB5999pn9GO/duxcAsH//fowaNQpxcXH299orr7xiP0eA9RabyWTCiy++iGeeeQYpKSkwm80oKCiQVG6bRo0a4YorrsCRI0dclrH2Z0LqZ+DAgQMYNmwYGjZsiMaNG+Ouu+5CcXExTCYTFi9e7LCuP8eQgpAgUkhVVZWIiooS11xzjU/Py87OFuHh4SI5OVnk5OSIL7/8Unz++edCCCH+/e9/i5ycHLFq1SqxYcMG8c4774hOnTqJtLQ0ceHCBfs2vvjiCxEaGiquu+46kZeXJ5YtWya6d+8uWrVqJWp/DJKSkkR2drb98dmzZ0Xnzp1FkyZNxKuvviq++OILMXv2bBEdHS369Okjqqur7esCEMnJyaJHjx7iww8/FKtXrxaZmZkiLCxM/Pbbb0IIIUpLS8WDDz4oAIi8vDyxZcsWsWXLFlFeXu72GCxatEgAEIMGDRIff/yxeO+990Tr1q1FYmKiSEpKsq9nsVjETTfdJOrXry9mzpwp1q1bJ958803RsmVL0a5dO3Hu3DkhhBAlJSUiMjJS9OvXT6xcuVIUFhaK999/X4wePVqcOnVKCCHExYsXRVZWlggLCxOPPPKIWL16tVi1apX4xz/+IZYsWWJ/zb/97W8iPDxcPPzww2LNmjUiNzdXpKeni2bNmonDhw/b1+vdu7eIjY0Vbdq0EfPnzxfr1q0TDzzwgAAg3nnnHSGEEOXl5fZ9feKJJ+zHprS01O2xKSsrsx+HBQsWiC+++EI8/fTTwmw2izFjxtjXO378uEhISBA9e/a0vzeys7NFVFSU+Pbbb+3rbdiwQTz88MNi+fLlYsOGDSI/P18MHjxYREVFiZ9//tm+XkFBgQAgkpKSxJgxY8SaNWvE/PnzRYMGDURWVpbo16+feOSRR8TatWvFCy+8IEJDQ8WDDz7oUHYAIjExUbRr104sWbJErFq1Stx0000CgFi2bJnTaxUUFNiXrV+/XkRERIiMjAyxdOlSsWbNGjFmzBgBQCxatMjt8SovLxdbtmwRzZs3F7169bIf4/Pnz4ujR4+Kli1biqZNm4r58+eLNWvWiAkTJggA4v7777dvo6SkRAAQLVu2FFlZWWL58uVi7dq1oqSkxO3rJiUliQEDBjgsu3jxomjevLm48sorHZa72l+pn4EzZ86I1q1bi5iYGDF37lzx+eefi8mTJ4uUlBSnY+PvMaTgwzBEijl8+LAAIEaMGOH0u6qqKnHx4kX7T82AkZ2dLQCIt99+2+P2q6urxcWLF8W+ffsEAPHRRx/Zf9ezZ08RHx8v/vjjD/uyiooKERMT4zUM5eTkiJCQEFFcXOyw3vLlywUAsXr1avsyAKJZs2aioqLCYb9DQkJETk6OfdlLL70kAHi8eNhYLBYRHx8vunTp4nBc9u7dK8LDwx0uBEuWLBEAxIoVKxy2UVxcLACIefPmOZR9165dbl/33XffFQDEG2+84XadLVu2CADilVdecVheWloqoqKixKOPPmpf1rt3bwFAbNu2zWHddu3aiRtvvNGprFIvRuPGjRMNGjQQ+/btc1j+8ssvCwDihx9+sC/btGmTCAsLE5MmTRJvv/22ACDefPNNj9uvqqoSFy5cEG3atBGTJ0+2L7ddsAcOHOiw/qRJkwQAMXHiRIflgwcPFjExMQ7LAIioqCiH0FhVVSXS09NF69atnV6rZjhIT08XV111lbh48aLDNm+99VbRokULYbFYPO6Xq3AydepUl+fo/vvvFyaTSezevVsIcSkMpaamOvzR4e31brnlFvtnfN++ffYg/cknnzisW3t/ffkMzJ07VwAQn332mcM2x40b5/S+qusxpODB22SkCV27dkV4eLj955VXXnFa5/bbb3dadvToUdx3331ITExEWFgYwsPDkZSUBAD46aefAABnz55FcXExhg4disjISPtzGzZsiIEDB3ot2yeffIIOHTqgc+fOqKqqsv/ceOONLqvys7Ky0LBhQ/vjZs2aIS4uDvv27ZN0LGrbvXs3Dh06hDvvvNOh51tSUhKuvfZap7I2btwYAwcOdChr586d0bx5c3tZO3fujIiICNx777145513nG5pAcBnn32GyMhI/N///Z/bsn3yyScwmUwYNWqUw+s1b94cnTp1cjo2zZs3R48ePRyWdezY0e9jYytDVlYW4uPjHcpw8803AwA2bNhgX7dXr1549tlnMWvWLNx///0YNWoU7rnnHoftVVVV4bnnnkO7du0QERGBsLAwRERE4Ndff7W/p2q69dZbHR63bdsWADBgwACn5SdPnnS6Vda3b180a9bM/jg0NBR/+ctfsGfPHhw4cMDlPu/Zswc///wz7rrrLnuZbT+33HILysrKsHv3bo/HzZX169ejXbt2TudozJgxEEJg/fr1Dstvu+02hIeHS97+6tWr7Z/xpKQkvPHGG3j99dedjlVtvnwGNmzYgIYNG+Kmm25yWD5y5EiHx3IdQ9InhiFSTJMmTRAVFeXywpebm4vi4mKsWrXK5XPr1avn1MOruroa/fv3R15eHh599FF8+eWX+O9//4utW7cCAP744w8AwKlTp1BdXY3mzZs7bdfVstqOHDmCb7/91iGshYeHo2HDhhBCOLVPio2NddqG2Wy2l8dXJ06ccFvW2suOHDmC33//HREREU7lPXz4sL2sqamp+OKLLxAXF4fx48cjNTUVqampmD17tn1bx44dQ3x8PEJC3H9NHDlyBEIINGvWzOn1tm7dKvuxsZXh448/dnr99u3bA4BTGe666y5ERESgsrLS3narpilTpuDJJ5/E4MGD8fHHH2Pbtm0oLi5Gp06dXJYzJibG4bGtLZy75efPn3dY7um82s69q30GgEceecRpvx944AGX+y3FiRMnXPYqs7Xhq10eX3ugXXfddSguLsbWrVvxn//8B8nJyZgwYQI2bdrktVyAtM/AiRMnHMKlTe1lch1D0if2JiPFhIaGok+fPli7di3KysocvkhtXWhtjThrqz0WEGDtDfPNN99g8eLFyM7Oti/fs2ePw3qXXXYZTCYTDh8+7LQNV8tqs4W4t99+2+3v5WQLEFLK36RJE8TGxmLNmjUut1WzxiojIwMZGRmwWCzYvn07Xn/9dUyaNAnNmjXDiBEj0LRpU2zatAnV1dVuA1GTJk1gMplQVFTksheRp55FgdKkSRN07NgRzz77rMvf12yMb7FYcNddd+Gyyy6D2WzGPffcg6+++sqhMf97772Hu+++G88995zDdo4fPy7LMAiezqur8Ahces9NmzYNQ4cOdblOWlqaz2WJjY1FWVmZ0/JDhw45vK6Nq8+lJ9HR0ejWrRsAoGfPnujZsyc6deqEBx54ALt27XL7PvPlMxAbG4v//ve/XteT6xiSPrFmiBQ1bdo0WCwW3Hfffbh48WKdtmX7Iq59wV2wYIHD4/r166NHjx7Iy8tz+Kv89OnT+Pjjj72+zq233orffvsNsbGx6Natm9OPPwO+2cospUYkLS0NLVq0wJIlSxwGp9u3b59Dry5bWU+cOAGLxeKyrK6+3ENDQ9GzZ0/MnTsXALBjxw4AwM0334zz58879b6p/XpCCBw8eNDl61155ZVe9682X46NrQzff/89UlNTXZahZhiaPn06ioqK8P7772Pp0qX45ptvnGqHTCaT03vq008/xcGDB33eFym+/PJLh95UFosFS5cuRWpqKhISElw+Jy0tDW3atME333zjcp+7devmEHyl6tu3L3788Uf7e8Dm3XffhclkQlZWls/b9KRNmzZ49NFH8d1332Hp0qVu1/PlM9C7d2+cPn0an332mcPy2j305DqGpE+sGSJF9erVC3PnzsWDDz6ILl264N5770X79u0REhKCsrIyrFixAgAkDXqYnp6O1NRUTJ06FUIIxMTE4OOPP8a6deuc1n366adx0003oV+/fnj44YdhsVjwwgsvoH79+jh58qTH15k0aRJWrFiB66+/HpMnT0bHjh1RXV2N/fv3Y+3atXj44YfRs2dPn46DLSTMnj0b2dnZCA8PR1pamssv35CQEDz99NP461//iiFDhuBvf/sbfv/9d8yYMcPpFsGIESPw/vvv45ZbbsFDDz2EHj16IDw8HAcOHEBBQQEGDRqEIUOGYP78+Vi/fj0GDBiAVq1a4fz58/aarxtuuAGAtY3FokWLcN9992H37t3IyspCdXU1tm3bhrZt22LEiBHo1asX7r33XowdOxbbt2/H9ddfj/r166OsrAybNm3ClVdeifvvv9+nY2Mblfz9999H27Zt0aBBA8THxzuEmpqeeuoprFu3Dtdeey0mTpyItLQ0nD9/Hnv37sXq1asxf/58JCQkYN26dcjJycGTTz5pH5ohJycHjzzyCDIzMzFkyBAA1nC1ePFipKeno2PHjvj666/x0ksvuQ0mddWkSRP06dMHTz75JOrXr4958+bh559/9tq9fsGCBbj55ptx4403YsyYMWjZsiVOnjyJn376CTt27MCyZct8LsvkyZPx7rvvYsCAAXjqqaeQlJSETz/9FPPmzcP999+PK664wt/ddOuRRx7B/PnzMXPmTAwfPhyhoaFO6/jyGcjOzsZrr72GUaNG4ZlnnkHr1q3x2Wef4fPPP7dvy0aOY0g6pWLjbTKwXbt2ibFjx4qUlBRhNptFZGSkaN26tbj77rvFl19+6bBudna2qF+/vsvt/Pjjj6Jfv36iYcOG4rLLLhN33HGH2L9/vwAgpk+f7rDuqlWrRMeOHUVERIRo1aqVeP7558X06dO99iYTwtpd94knnhBpaWkiIiJCREdHiyuvvFJMnjzZoScQADF+/Hincrra5rRp00R8fLwICQlx6inkyptvvinatGkjIiIixBVXXCHefvttkZ2d7dCTRghrd+WXX35ZdOrUSURGRooGDRqI9PR0MW7cOPHrr78KIay9wIYMGSKSkpKE2WwWsbGxonfv3mLVqlUO2/rjjz/EP//5T/vrxsbGij59+ojNmzc7rPf222+Lnj17ivr164uoqCiRmpoq7r77brF9+3b7Or179xbt27d32i9X+7BkyRKRnp4uwsPDXZ7L2o4dOyYmTpwoUlJSRHh4uIiJiRFdu3YVjz/+uDhz5ow4dOiQiIuLE3369HHoIVRdXS0GDhwoGjdubO/Zd+rUKXHPPfeIuLg4Ua9ePXHdddeJoqIi0bt3b9G7d2/7c209nmp2gRfiUhfw2r0Pbe+1Y8eO2ZfZ3i/z5s0TqampIjw8XKSnp4v333/f4bmuepMJIcQ333wjhg8fLuLi4kR4eLho3ry56NOnj5g/f77H4yWE695kQgixb98+ceedd4rY2FgRHh4u0tLSxEsvveRw3Gy9yV566SWvr+Pt9YS41APMNsSCu/2V+hnYv3+/GDp0qGjQoIFo2LChuP3228Xq1audepkKUbdjSMHDJEStSWGIiEgRJpMJ48ePx5w5c9QuStB77rnn8MQTT2D//v2y1fKRfvE2GRERBRVbuExPT8fFixexfv16/Otf/8KoUaMYhMglhiEiIgoq9erVw2uvvYa9e/eisrISrVq1wmOPPYYnnnhC7aKRRvE2GRERERkau9YTERGRoTEMERERkaExDBEREZGhGaIBdXV1NQ4dOoSGDRv6PHw8ERERqUMIgdOnT3udJ7GuDBGGDh06hMTERLWLQURERH4oLS2VdVgEQ4Qh2xQHpaWlkqZ5ICIiIvVVVFQgMTFR9nniDBGGbLfGGjVqxDBERESkM3I3cWEDaiIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNNXD0MaNGzFw4EDEx8fDZDJh5cqVbtcdN24cTCYTZs2apVj5iIiIKLipHobOnj2LTp06Yc6cOR7XW7lyJbZt24b4+HiFSkZERERGEKZ2AW6++WbcfPPNHtc5ePAgJkyYgM8//xwDBgxQqGRERERkBKrXDHlTXV2N0aNH4+9//zvat2+vdnGIiIgoyKheM+TNCy+8gLCwMEycOFHycyorK1FZWWl/XFFRIUfRiIiIKAhoumbo66+/xuzZs7F48WKYTCbJz8vJyUF0dLT9JzExUcZSEhERkZ5pOgwVFRXh6NGjaNWqFcLCwhAWFoZ9+/bh4YcfRnJystvnTZs2DeXl5faf0tJS5QpNREREuqLp22SjR4/GDTfc4LDsxhtvxOjRozF27Fi3zzObzTCbzXIXj4iIiIKA6mHozJkz2LNnj/1xSUkJdu3ahZiYGLRq1QqxsbEO64eHh6N58+ZIS0tTuqhEREQUhFQPQ9u3b0dWVpb98ZQpUwAA2dnZWLx4sUqlIiIiIqNQPQxlZmZCCCF5/b1798pXGCIiIjIcTTegJiIiIpIbwxAREREZGsMQERERGRrDEBERERkawxAREREZGsMQERERGRrDEBERERkawxAREREZGsMQERERGRrDEBERERkawxAREREZGsMQERERGRrDEBERERkawxAREREZGsMQERERGRrDEBERERkawxAREREZGsMQERERGRrDEBERERkawxAREREZGsMQERERGRrDEBERERkawxAREREZGsMQERERGRrDEBERERkawxAREREZGsMQERERGRrDEBERERkawxAREREZGsMQERERGRrDEBERERkawxAREREZGsMQERERGRrDEBERERkawxAREREZGsMQERERGRrDEBERERkawxAREREZGsMQERERGZrqYWjjxo0YOHAg4uPjYTKZsHLlSvvvLl68iMceewxXXnkl6tevj/j4eNx99904dOiQegUmIiKioKJ6GDp79iw6deqEOXPmOP3u3Llz2LFjB5588kns2LEDeXl5+OWXX3DbbbepUFIiIiIKRiYhhFC7EDYmkwn5+fkYPHiw23WKi4vRo0cP7Nu3D61atZK03YqKCkRHR6O8vByNGjUKUGmJiIhITkpdv8Nk27JMysvLYTKZ0LhxY7frVFZWorKy0v64oqJCgZIRERGRHql+m8wX58+fx9SpU3HnnXd6TIg5OTmIjo62/yQmJipYSiIiItIT3YShixcvYsSIEaiursa8efM8rjtt2jSUl5fbf0pLSxUqJREREemNLm6TXbx4EcOHD0dJSQnWr1/v9b6h2WyG2WxWqHRERESkZ5oPQ7Yg9Ouvv6KgoACxsbFqF4mIiIiCiOph6MyZM9izZ4/9cUlJCXbt2oWYmBjEx8dj2LBh2LFjBz755BNYLBYcPnwYABATE4OIiAi1ik1ERERBQvWu9YWFhcjKynJanp2djRkzZiAlJcXl8woKCpCZmSnpNdi1noiISH8M07U+MzMTnvKYhoZBIiIioiCkm95kRERERHJgGCIiIiJDYxgiIiIiQ2MYIiIiIkNjGCIiIiJDYxgiIiIiQ1O9az0REZGhWCxAURFQVga0aAFkZAChoWqXSh0aORYMQ0RERErJywMeegg4cODSsoQEYPZsYOhQ9cqlBg0dC94mIyIiUkJeHjBsmOPFHwAOHrQuz8tTp1xq0NixUH06DiVwOg4iIlKVxQIkJztf/G1MJmutSElJ8N8y8+FYVJw9q8j1mzVDREREcisqcn/xBwAhgNJS63pqsFiAwkJgyRLrvxaLfK+lwWPBNkNERERyKysL7HqBpHTbHQ0eC9YMERERya1Fi8CuFyhqtN3R4LFgmyEiIiK52drJHDxovQ1UmxpthtRqx+TDsWCbISIiomARGmq97QRYL/Y12R7PmqVs42m12u5o8FgwDBERESlh6FBg+XKgZUvH5QkJ1uVKjzOkZtsdjR0LNqAmIiJSytChwKBBmhh1WfW2Oxo6FgxDRERESgoNBTIz1S4FcPy493USE60BRS4aORa8TUZERGQ0FgswebL39V55JfgHgQTDEBERkfF4azxt07Sp/GXRAIYhIiIio9HgwIdqYhgiIiIyGrUbT2sMwxAREZHRZGRYu7HXHufHxmSSv/G0hjAMERERGY0GBz5UE8MQERGRGpScKd4VjQ18qCaOM0RERKQ0pWeKd0dDAx+qiRO1EhERKck2U3zty6/t9lSgamUsFt2HHKWu37xNRkREpBSLxVoj5KoewrZs0qS63zLLy7PODJ+VBdx5p/Xf5GTrcldlUvN2nQYwDBERESlFiZnibTVPtV/n4EHr8pqByJfQFMQYhoiIiJQi92CHvtQ8+RKaghzDEBERkVLkHuxQas1TYaEyt+t0gmGIiIhIKXIPdii1RqmwUP7bdTrCMERERKQUuQc7DPT0GZybjIiIiAJOzsEOpdY8ZWZK255B5ibjOENERERqkGscIFvDaMCxTVDNcYwGDbL2Gjt40HW7IZPJGqpKSlQdm4jjDBEREQWz0FBrDc3IkdZ/AxU6pNQ8cW4yB6wZIiIiCkZSap5cTQuSmGgNQhqYm0yp6zfDEBFRXQXBtAdkYBp+/xrmNtnGjRsxcOBAxMfHw2QyYeXKlQ6/F0JgxowZiI+PR1RUFDIzM/HDDz+oU1gioto4gq9nnOpB++S6Xacjqoehs2fPolOnTpgzZ47L37/44ot49dVXMWfOHBQXF6N58+bo168fTp8+rXBJiYhq4Qi+njEoahMDqjOhIQBEfn6+/XF1dbVo3ry5eP755+3Lzp8/L6Kjo8X8+fMlb7e8vFwAEOXl5YEsLhEZWVWVEAkJQlj74jj/mExCJCZa1zOiFSusx8DVcTGZrL8n5a1Y4fy+TUjQxPlYPX2raBP2P/GvIetFtaVaCKHc9Vv1miFPSkpKcPjwYfTv39++zGw2o3fv3ti8ebPb51VWVqKiosLhh4gooJSYcFOvlJqZnXyjsZrM30tOIdx0ESaTtQPbLTN74teqFEzMz8L+LQcVLYumw9Dhw4cBAM2aNXNY3qxZM/vvXMnJyUF0dLT9JzExUdZyEpEByT3hpp4xKGqPRgLqlzn/tYefyy6/DFUId1pnQqeNaHVNSxfPlo+mw5CNqdYYCEIIp2U1TZs2DeXl5faf0tJSuYtIREYj94SbehYsQTGY2taoFVCFwL1tCuwB6IZ/9HC76v7/HoYQwOu7rocpxP01Xg5hir6aj5o3bw7AWkPUosYXytGjR51qi2oym80wm82yl4+IDMw27YG3EXz9nXBTz4IhKLoafychwTpQoQbG3/GZggH1xO7jaJLe5M9HJgBZLtdrGnIcJUfqo36TqD+XNK/za/tL0zVDKSkpaN68OdatW2dfduHCBWzYsAHXXnutiiUjIsPjCL7uyT0zu9w01rYmIGQOqANjvrLX/lwKQs4e773J3nL7qKVJjSCkLtXD0JkzZ7Br1y7s2rULgLXR9K5du7B//36YTCZMmjQJzz33HPLz8/H9999jzJgxqFevHu688051C05EJOeEm3qm56CokbY1ARfggCos1fbwYzIBn5zq5Xbd4vd/sQegZwqv86f0slN9BOrCwkJkZTlXoWVnZ2Px4sUQQmDmzJlYsGABTp06hZ49e2Lu3Lno0KGD5NfgCNREJCsNj+CrKo1P9eBSYaF1PCRvCgqcZ37X+vvA2wSuM2YAbdq4LfuGF7ch87Gekl7q3KlKRDWue3MVTscRQAxDREQq0XpAqG3JEusAkd7k5lpHbLbRSxsjV+WMjbX+e+LEpWV/lr3Z7b1wFO7b6NqEwAJLQeDPM8NQADEMERGRJP7UDNlqXGpfTm01LrZbploJhjXL8euvwPTpTqtUw1r2YViOfLgOc88P2oLHVl7jOmA1bQrMm3epJspPDEMBxDBERKQzagUHi8U6ZYi3XoIlJdby2NZ3123dtv4rrwBTpmir5ujPsosDB+CqJVE1TDiABKSgBNWwHvujv5ajaevoSyu5C4I2f/878OKLfhfRMBO1EhEROVBzTjNfG39LHb9n+HBN9U4zmYDMMGvZ3Y3oEwKBViiFpaDI3gDaIQh5amxu89JLwLJlAS27HBiGiIhIO7TQrd2XXoJ1GZdHwd5plSfOOPT+AoAWqOPYQ96CoM348ZrvfccwRERE8pMymrOWurUPHQrs3WttG5Sba/23pMT5llZdB46UcWqSWxsX2cNPZJMGTr8vQx3HHpIaBI8d0/zUK5oegZqIiIKA1J5WvkwZUbtbuxxCQ72/jreRyKUK0NQkjnf2PI8ZVFiVASTXYRR1X4KgxqdeYc0QERHJx5fbXnqc00xKGyMp/KxhOr33hNPtL3eahx2zt/0RAnUfHDMjw9prTAotT70ChiEiIpKLr7e99Dqnmac2RsuWBXxqktSQ/9nDT6OUWI/rHvrhlD38lF10EVzqMop6aKi1+7w3Wp565U/sWk9ERPLwdcweX7u1a4274QC8jfwsYeoWXyqZ/Lqq12Uog0cftfYac8VkqtPUNOxaT0RE+ubrbS89z2kGXGpjNHKk9V9bOf2ofTn2zSHJt79SzAcdb39546oxu7uyS/Hii8CHHwJNak3Qmpiomzn6WDNERNqmlVF7yXf+zvOlxznNpPDyXjabKnEB0ubzOrHvDGJaOfcQ80rOaUNk+KxyBOoAYhgi0im9zPdErtXltpdBQnDtWp8QWJCBIrRAGcrQAkXIsI/+XOertdRpQzSEYSiAGIaIdEiHX9zkQgDaywST31bvRusBaS5/NwR5mI2HkAiZam2kTBuisfZYbDNERMalpcH3qG7q0lspSNRs++MpCC3HMCRAppG3fRnDyYAYhohIe/jFHVykjuYcRKQ2fgYAUWVBXsJDCIFwnicsUOFfj2M4KYhhiIi0h1/cwacuvZWUImXKEDd2vLlDcgBqV2+vY+8vJcK/XsdwUgin4yAi7eEXNynNj8b6jqGni8fNnz9TBXN92yU32fGX/oR/XxuYe5s2xNvUG/6+rk6wZoiItMf2xR3AUXuJ3PJhyhCfbn/VqP25FIRc8DX85+VZG0NnZQF33mn9NznZc7uiQIzh5M/r6gTDEBFpj94H3yP98NJYXwiB/bdPQqjJ4jUAXRfzg2+DH9r4Ev59meuttro0Zq/L6+oAu9YTkXYF6+B7pB0SB4bMRAE2INNpedVFgdAwH+bKcEfKEASDBgWme7yvt7pU7Jav1PWbbYaISLuGDrVeAIKwjQJphMT2Oi1waT3HKoQABCHgUq2Nq3ZLtvBfWCi9oXXNEb1rszVml8qXBt6+bFdDGIaISNt8/eImkuCDe9dj5Bt90BstUChh/SUFLbAkU+ZCeQv/avWyNEDvToYhIiIyBMcmOX0AAEXIQCkS0BIHEQIfe1nJ0bPKU/hXq5elAXp3sgE1EZE/6jAmDSnHW++vaoTiIfjRWF+NnlVq9bI0QO9OhiEiIl8peSFk6PLJ67etk9z9fVynrRACyBNDEbLCh15WavWsqtnL0h05elkaoHcne5MREflCyQlk/RgI0IikjPlj4/GKJ+W2lxYmPH30UeDVVx2DcWgoMGUK8OKL8rwmoErvTs5aH0AMQ0QUEEpeCJUMXToUsADkK4ld8VFQIE/Df7XfFwqPQM1Z64mItEapCWS9DAQIwPPEnUF4a+2Rzl9Ivv01o99X/g1+KIWaPavq+r4IBD3MMecH9iYjIpJKqQthXcZ1CaJba46h5waP6zrmg14ylOZPavasMsB4P2phzRARkVRKXQj9DV16nzJBCK+1PyGwoDcKMQJLIAoKIaosga/98UTNnlXBPt6PijWaDENEWhWEtzo0oS7HVakLoT+hSwu3UNzxcMxHJmy8FIBCPN//+qTXc7AkJKMQWVgClSYKVbNnVTCP9+Ouh+aqVcq8vjCA8vJyAUCUl5erXRQiaVasECIhoWazB+vjFSvULpm+BeK4rlghhMlk/am5HduyQJyjqipruWq/Rs3XSky0rmdTUOB63do/BQV1L58vXBzz/UgQQ7BCUnEdtuPqeATyuNdxv0Riorzl8Od9oQcezm05oMj1m2GISGu09qUfLAJ5XJW4EPoaut57T1oYys0NXBkl7kN1rTJYYBIWmNwGIie2EOBun9QKAVVV1nCZm2v9V4nXVyKMK8nLuWUYCiCGIdINrX7p650cx1WJC6HU0LVihRBNm2qqZujmxl+J/UgQFjflsMAk9iFRhKBK5E7+r+eNabXWSy1q1ErJxcu5VSoMsTcZkZawt4g85DiuSkwg623iTsD9uDO1eZpjK0BqNqHpjQtIhPtjHgKBViiFpUDCMQ/2hsO+kvK+UIM/YxBp5JwxDBFpCb/05aHn4+opdHlqNO1KgBv2Vv1xEeH1wl3+rgUCeMyDueGwv5QI477wd0gHjZwz9iYj0hIjfOmr0UsuWI+rtxovm6ZNfRuZ2MM5ijWdsPf+cheEAKAMATzmBpgoVNfqMqSDt3OrEIYhIi0J9i99NWb6BoL3uEqtyXrtNelByMU5Kg1LxlBTHkwm4CRiPT7d1tijsCqAx1xKd/a//hX48EMOQ6G0ug7pIOXcKkDzYaiqqgpPPPEEUlJSEBUVhcsvvxxPPfUUqqur1S4aUeAF8+zQag4IGKzHVWpNVu3Z2N358xyJWueoJQ5iOYZhCBzPkW0ARJF7aQBEu0Af86FDrbVbtfclJsb6M326sgGbrAIxRY27c5uQAPznP4EppzeyNs8OgGeeeUbExsaKTz75RJSUlIhly5aJBg0aiFmzZkneBnuTke5oubeIP72otNJLTsvH1R8BHHcmDJWSe39tXfSj9DGbAn3Ma77/Zs50v9967GauR7m5gRvSwcV3i1LXb83PWn/rrbeiWbNmeOutt+zLbr/9dtSrVw//kZgYOWs96ZLCs0NL4m8jSbVn+q5Ji8e1Lmw1boDjrQoJs5g79v4qRCEknqOTJ32bOd3dMa/LubBYrDVA7molbL3nSkr0fX61TubPtmLXb1mjVgDk5OSIpKQksXv3biGEELt27RJxcXEi14eBw1gzRBQAdRm0MJB/PZIzibUvJ3876fbQj4DEc/Tee4Gp5avraOAce0gbZB4VW6nrt+a71j/22GMoLy9Heno6QkNDYbFY8Oyzz2LkyJFun1NZWYnKykr744qKCiWKShS8vDWSNJmsjSQHDXL9V3iw9ubSCg/jzjg217nM7SYk9/46dqzuYza5GxvJ1n5MSs83PQ+XEExsbcOGDbN+D7iqndRBezzNN6BeunQp3nvvPeTm5mLHjh1455138PLLL+Odd95x+5ycnBxER0fbfxITExUsMVEQqmsjyWDtzaUltnFnRo6EKSsTprDaQcg1n3t/NW0qrTzuQkigJpRlwNYOTw2gfRnSQUWaD0N///vfMXXqVIwYMQJXXnklRo8ejcmTJyMnJ8ftc6ZNm4by8nL7T2lpqYIlJgpCdf0rPFh7c2nEvk2ll2Z+9yEAOeQRqedIas80dyEkEL2PAAZsrRk6FNi719o2KDfX+m9JiS6CEKCDMHTu3DmEhDgWMzQ01GPXerPZjEaNGjn8EJEH3gZCDMRf4UHw16OW1Aw/yRmea78PbD/sOgDVJuUcSRkkLzQUOH7c9e8CdXuLAVt7atROIjNTX8de1hZJAZCdnS1atmxp71qfl5cnmjRpIh599FHJ22ADaiIPpDRkDWQjSTVm+tYDCcdFSnth24+sZXHXmL72e8JVY+hAN3wOtuESyAG71v/p9OnTePLJJ5Gfn4+jR48iPj4eI0eOxD//+U9ERERI2ga71hO54a4hq6su0nXowk1euBmyYN/Ix5D80gTJm1H023zZMmsNgLu2Pe66ttu6xB886LrA/nSJD7bhEshOqeu35sNQIDAMEbngzzgtri7aiYnW2xEMQv5xE0irYQ2Zw7Ac+XB9bI//chKxbWJkL6JLdRlf5tFHgZdecr2+ycRgTXZKXb8137WeiGTiS0NW28XMQxdu8sOfPauqhXBqwBkCgWqYMAuT8BEGoRrWY+yYmXwIQoGuPfG37U9eHvDyy+7Xf+QRBiFSnOYbUBORTPy9mNW1kaQas9YHWh33oWjutzCZgMwwayB190UcAoFWKIWloMh742dP5Jgg159G9Z661dt88IE+3xOkaz7VDJWWlnLMHqJgocY4Lf5O56Gm2jUqx48Dkyf7vA+OHZ46AgBaQIGBAwMxwCHgfByuvda6397a/tTs2u6tNhLwPmAjkQx8qhlKT0/Hk08+ibNnz8pVHiJSitLjtKg5a72/XNWo3HGH5H3wNvaP5FGf/Q2kgRrg0NVxSE211g4C0ru2c9Ro0iifwtC6deuwdu1atGnTBosWLZKrTESkBCXHaQnURVlJ7sKbK3/uw7kxDyDUZJE0+KEJ1dJHffY3kAZigENPIfbll61tfKSOHcVRo/UhGG5l+8qf/vjvvPOOSEhIEJ07dxYFOpgEj+MMEXmgxDgteptU0zauki8D+/z50xsFbn998dwF59eyjdlTe9weKRPgelPXCXK9HQfb+FKVldLGjpJ5Uk8KgLpOoBtgSl2//WpAfffdd+OXX37BwIEDMWDAAAwZMgR79uwJbEojImUoMYy+3m6PSGnb4kbtdkA1ryphUeHOT5BzZO661sRIrVnavFlao3qOGq1teryVHSB+9yYTQqB///649957sWrVKnTo0AEPP/wwTp8+HcjyERmPGlXUcg+jr5XbI1KPbR1CWUiISdrUFzXJFUjr2i5MjhDLaVm0SY+3sgPIp95k8+fPR3FxMYqLi/HTTz8hNDQUHTt2xPjx49G5c2e8//77aNeuHfLz89GtWze5ykwUvLTQ20qO0XxtF2Vfeh4Fmi/H1p9Q9uc+vF9yh3/lswXSQLLVxAwbZi2fq5HDPdXEyBViOV6V9vgz7lgw8eWeWkJCghg2bJh4+eWXxaZNm8T58+ed1nn22WdF+/btA3UbLyDYZoh0wd18T4FoO+JLGeRqLyBn2xipr+3l2NoWh6BK7EeCsMB125ZqNc+RP/xtF8Y2PsZR1/ZlMlHq+u1XA2pPDh8+LEJCQgK92TphGCLNk9pQVc6LjhJhTI1JNb0cWwtMYh8SRQiqHH41BCuEBSa3gUjRfQgEfyfIVTPEknI02slBtxO1CiGwceNG9O7dO5CbrRPOTUaaV5d5ngLBn3nK6vJaSt4ekXhsM1GADch0WCZWuJmL7ZVXgKZNjXOLh3PSBT85JtANAN3OTWYymTQVhIh0Qe3eVkq2F5CjbYwnEo+ZrReY43WAbVsAsI2PEdS1fZnOcaJWIi1Qu7eV2mEswO7tsBlv/HAtAKA3WqBQwnOWFLTAkkwXv1A6vGkVj0Pws/X0c9XRIMhrARmGiLRA7d5WaoexAHDsPX6t/X9FyEApEtASBxEClXqyEemFQWsBGYaItEDtKmq1w1hNPrQp8jblBQBUIxQPYTbyTMMAGK/6n8hnBqwF9HvQRSIKMDUHo9PKyMCuJgRNTraPfNs79nuvk5/aTL92nb0LTJ7gQH9E5F7Ae5NpEXuTka4o3duqJjV7DdmmAqj1lVQNa+oZhuXIh+cyeP02U/PYEpHPlLp+MwwRaZ3SF3BXrwfIWwYvXfurYcIBJCAFJaiG4+sG/zcYkXHptms9EQWQq5qali2Be+8F2rSRJ5jUbi+gwBQhg8I/xUfCfdf+EAi0QikyUITbB17Eg6v6BeR1iYgAhiEi7XJz2wgHDwLTp196LOfcZZ7KMGxYndrb1GzzMwJnJT2nMLfMOpksaQ9vQZKOsQE1kSdqzCBve113M0jXZgsmfzYyVqQMfsxiXXWh2m3j5zLov2u/oXlp+E6kdQxDRO6o+QXvbUTomvwIJgEpQ81Rqd2oGX7Cze6/boqQgbP1m7rvImYyWRtyG3UsIH9DuRJh3lZ7WPu9IldIJ5IBwxCRK2p/wfs60rOEYCJbGWqtJ7XrO3Bp9keLCEX9d+df2kDtDQLuu/arVXunFH9DuRJhPsC1h0RqYRgiqs1isTZQVvML3t/bQYGcLkNiGc43iPUrADkdXn/GWQr22zP+hnKlwnwAag+JtIBhiKi2Z58FTpxw/3slvuBtI0JLSRc1BbJNjZcyVMOE/UhE/dv6etzMl89scR+Aahs6FNi7FygoAHJzrf+WlLgPQsF8e8bfWhcla2uCbE47Mi6GIaKaLJZLIzF7I+cXvKcRoV2Ro02NhzLYBkKchFlO4/4AjrU/fR6/xvfXzcy09hrLzHR/ayzYb8/4W+uiZG1NEMxpRwQwDBE5KioCTp6Utq7cX/DubhvVJtN0GSf3n4Hp9qEYKpajVDiW4QASnEaEllz7EwhGuD3jb62LkrU13mowjd7wnXSDYYioJqkXiNhYZb7ga982mjnTevGpKYDza9Vs+xOb1AAAkI+hSMZeZKIAI5GLTBQgBSX456LLlQ1ANRnh9oy/tS5K1tZoZU47ojrioItENUm9QEycqNwXfO0RoR9/PKCD20md+X0DMmuFns5+v2adGeH2jK3W5eBB12nTZLL+vnYo9/Y8wPXz/GWrwXQ1SrkSc9oRBQDnJiOqyTZHlqcLSWwscOSIbv/aPfT9SbS8Mkby+pr8hvB2nmxBoaREt+cJwKVG4oDjftoSrKdedq6eZxMbCyxcGNigwhGoSQZKXb95m4yoJikNlxcu1N2XfM3bX96C0N71/1Pv9pdURrk9489wAzWfF+PmXJ88Gfged1IavhNpFGuGiFxxNTlpYuKlan8d/BXsS698j98CWt5Xb+cpWPhzDmy1Z+4amgdL7RkFNaWu3wxDRO64uwApMIu7P37ZUIa0TOltZCR98jW6rw60HNbUVFhoHYTSm4ICxzZpRBqi1PWbDaiJ3KndcBmQdRZ3fzjW/ngOQie+L0NMex8aFCuxr4EIMq7OE8nT447Bk4IU2wwRSaWRgf78nfrCpyCkxL4G+1Qaagt0jzueLwpiDEOkLj1NsqnSQH/FH5YEZu4vX8i9r8E+lYYWBHJARJ4vCnIMQ6Qevf2lqeBAfzXDT4+/pHhc9+yBU4Hv/SXnvmqkhi3oBarHHc8XGQDDEKlDj39pyjzQn7+1P/VaXubX63kk574aYSoNrfC3a35NPF9kALoIQwcPHsSoUaMQGxuLevXqoXPnzvj666/VLhb5S69/aQZ4Hqa1//pZcgBqgmPKjv0j55xTRphKQ0tqT+lSUGDtTi+18TvPFxmA5nuTnTp1Cr169UJWVhY+++wzxMXF4bfffkPjxo2VLQh7UQSOL39paqmXkO22w7Bh1jDgakRgL7cdHLNFuseXu1D+B8IbRf35qKk/JfZfAPbVLSNMpaE1delxx/NFBqD5mqEXXngBiYmJWLRoEXr06IHk5GT07dsXqampyhVCb21btE7Pf2n6cdvB39tfl4KQSgJxi8UVznSuLzxfZACaD0OrVq1Ct27dcMcddyAuLg5XXXUV3njjDY/PqaysREVFhcOP39y1bTlwALj9dv0HIjV6c+n9L00vtx2WPfmt5ADULXyXtqe+qOstFleMMpVGsOD5IiMQGmc2m4XZbBbTpk0TO3bsEPPnzxeRkZHinXfecfuc6dOnCwBOP+Xl5b69eFWVEAkJNa9Vzj+xsdb19GjFCuf9S0iwLpeTlOMKCLFsmbzlCCBvu1Lzx1J5Ue3iaoOr919iovzvP/IPzxepoLy83L/rt480Px1HREQEunXrhs2bN9uXTZw4EcXFxdiyZYvL51RWVqKystL+uKKiAomJib4P5y11OPuZM4F//lP6drXA3ejC3mbDDpRly4Dhwz2vk5io6XmTAjb3l5GxLZ6+8HyRwjhr/Z9atGiBdu3aOSxr27Yt9u/f7/Y5ZrMZjRo1cvjxi9Q2K//6l/Z6Pnmihd5cTSU0CNZYd93/TNkp+fbXyLgvtX37Sys407m+8HxRkNJ8b7JevXph9+7dDst++eUXJCUlyf/iUtusnDihvZ5PnmihN5dOGlE7hp6rEAILMlCEFihDGVqgCBmohvWCIKpFjSf0VbqoRETkJ83XDE2ePBlbt27Fc889hz179iA3NxcLFy7E+PHj5X/xjAwgJkbaulrs+eSOFoKIhhtRu6v9GYI87EUyCpGFJbgThciCJSEZYkWetfbHl/tmRESkGZoPQ927d0d+fj6WLFmCDh064Omnn8asWbNw1113yf/ioaHW20lSaLXnkytaCCIa6q776p3bvd7+GoI8LMcwJEBHI2YTEZEkmm9AHQh1aoBlsQDNmllvhbliMlkv6hpu6OvEYrGOk3TwoOsGLUrtk60RN+B6UD8ZG3H71Pi56s/j5e7Woh7fA0REOsAG1EryNNZOaCiwcKHrq6dex9jQyrghcg3q54bfM79zbiYioqDGMCRldGnbRTshwfG5Ml20FaFwEPFYjroO6ucmzE7tWyw5AM2/bbX73l9aaGNFRESyMfZtMl/H2lFyjA2lXkvv44bk5VnbddWouSlFAh7CbOTDc6CS/M6XOt5UQYF+ehQSEemAUrfJjBuGLBpuB+LiAo+EBOutLT3WQsklLw9i2DAIIRyqOKthDbPDsNwpEPn1bvfWxgqwjpv02mvWmja9BUpA/6GYiIIS2wzJTavtQNzNhcZeS3YP9NyOUJMFpbc/5BSEACAE1sAyC5Ow7J7P6j74oac2VjbHjgGjRulzEl9ORExEBmfcMKTFdiBaGBlao2q2/fn3f7shA0VIxAG3b+AQCLRCKYaNCtDM7+7aWLlSO7iqMRmuVAzfREQGDkNaGGunNq3WVqmg2iI8Nn5uARXCbM3G3u+9535KkZrBddky7da6MHwTEQEwchjS0KB/dlqsrVLQoMu/s4ef0DDP3b+m/d9RaRsNdJi1zc3UsqX11pg7tuA6fLh2a118Cd9art0iIqoj44YhrYy1U5MWa6tkVrP2Z1XJlR7Xrdn2p+PCCeqG2boEUq3Uukjdh48+0m7tFhFRABg3DAHaGWvHRou1VQF24Xy1/4Mf1qR2mK1rINXCLU+p+zBrlnZrt4iIAsDYYQgIzKB/gaL2BV4mgy7/1h5+zFGe33I7FxZL7/2lZpj1FlylUvOWp5Tw7e695kvtFm+xEZHGGXecIS1zNc5QYqI1COlknCGf5v6q6ztQrTFyPM2tJnWn1B6oUe594JhZRFQHHGfIyLRUWyXRuYqqwNz+8oetUfPIkdZ/lao581QztWyZPm55etqHSZOkbcNd7Ra77RORTrBmiPzWM3YP/nuytaR19675GUk3pstcIpW4q5nyVOsCaGteO9utrMJC62NbTc8NN3h/rquaIS2P8E5EusHpOAKIYShwFL39FQz0csvT3e2sP/4ATp50fTI9BRrO50ZEAaDU9TtMti1TUDhVdh4x8ZGS1q2Hszgr6stcIp0ZOhQYNEjb8365m7C45lxstdsQeWvQb/Axs4hIXxiGyEmryCMorWz25yPPQejItr2I65H85yMGIZdsbZq0yNso1CYTEBMDREZaw5FNQoLn2i0DjplFRPrFMEQAat/+auZuNQC1r5vJgS8MKUfKKNQnTgBffGENdVJrt2zd9mvWLtVku8WmdgNyIiIwDPlGrS7cMjhWcgZxlzeQtG4b/IJfxBUyl4hUIfU21dGj1t56UtnGzBo2zPdbbERECmPXeqny8nQ/JUFa/QP2ru/eglD5L0fsXd8ZhIKYnLeztDbCOxGRG+xNJoW7BqZa7CJdC3t/kUe2LvDebmfVpQt8ENWoEpGyOOiiVnhrYAqoP+FmDaXf/S558MPRTdcEdvBD0h8lpoBRa1BMIiKJGIa8kdLAVOUJNxuGnrWHn1YdG3tc9/yRcnv4effoTcoUkLSNt7OIyODYgNobjY6X4vhHvOcu7Y61PtEylIZ0Tw/jIRERyYQ1Q95oZLyU3UVHJd/+mpy6ire/yHe8nUVEBsWaIW9UHC/l8qgylJy3haw4j+tWVZxDaMN6fz66LeBlISIiClasGfJGiQamtTZp+7kUhFyrWftzKQgRERGRLxiGpJCxgemvX0m//fVs95W8/UVERBRgHGfIFwEaL+W6uN346liapHWrL1TBFM67mUREZDyctV6L6jDhpmOtj+cg5BhPeYqIiIjkxNtkFgtQWAgsWWL9N0CDJ/64/rDk21+rJqzl7S8iIiKVGLvaIS/POrp0zUEVExKsDab9aAfUtkEpfj6b+Oej5h7XFZZqIMSWRfv7/Fq6wukYiIhIw4wbhtzNN3bwoHW5xIbRjrU+ie5WgxnncV5E1lgSJJVy3oJOgAMnERFRoAXJFVmioiLr7bAvvwQmTvRrvrGvPyqVfPtr8wtF9ltfjkEoSOTlWSf5zMoC7rzT+m9ysnW57ffDhjlPZ2ILnLb1iIiIVGSs3mQAfGqLXlAAZGZiWOtdWPFbZ0lPEdXCt6ni9cpdzZpt35cuBaZMcT+vWyBmQycioqDGWes1YGRWGUwmeAxCLXHAsfGzEYKQxWK99eWpZm38eM1PcEtERAQwDHlUBtcjQO+cv80efg6IBIVLpQFFRd6DzrFj0ral8AS3REREtRm3AbUH1TDhABJQhEvzjTlWgvSUvxBa7oEVyAAT53nONSIiIrnprmYoJycHJpMJkyZNkmX71bDe5trWehQsIlSdsX+8NUxWWwvPc6YRERHpia7CUHFxMRYuXIiOHTvK9hohiQkIWbEcd/z6nGyv4ZEeemBlZFgbP7trH2UyATEx0rZ19GjgykVEROQH3YShM2fO4K677sIbb7yByy67LCDbFAAQGwt88QWQm2vtPVZSot74N1IaJrvp8q+o0FDrOEGAcyCyPX7oIWnbYi0TERGpTDdhaPz48RgwYABuuOEGr+tWVlaioqLC4ccVEwCcOAGUlwMjR1rnHVOzXY6Uhsla6YE1dKh1YMqWLR2XJyRYlz/+uPfao8REay0TERGRinQRhj744APs2LEDOTk5ktbPyclBdHS0/Scx0f3I0ACAe+9Vv7YFkN4wWSs9sIYOBfbutdao1a5Zk1J7NGuWdhqFExGRYWk+DJWWluKhhx7Ce++9h8hIaaM4T5s2DeXl5faf0tJSz084cQJ49tkAlLaOpN4y0tKtpdBQa42aq5o1b7VHnI6DiIg0QPMjUK9cuRJDhgxBaI2LrMVigclkQkhICCorKx1+54qkEahjY4EjR9StqbBYrL3GDh503W5Ir6M2a3mYACIi0iylRqDW/DhDffv2xXfffeewbOzYsUhPT8djjz3mNQhJduKE9YKdmRmY7fnDdmtp2DBr8KkZiPR8a8lWe0RERKRBmg9DDRs2RIcOHRyW1a9fH7GxsU7L60zJtjjuaktst5ZczfQ+axZvLREREQWY5sOQopRqi5OX5zrszJ5tDTtDhwKDBvHWEhERkQI032YoELy2GVKyLY632d7ZsJiIiAgAZ61XjpJtcfQyqCIREZGBMAy1bKlcbYyeBlUkIiIyCLYZWrwY6NtXmdfS26CKREREBsCaISUnCtXjoIpERERBjmFIyeAhZbZ3ztdFRESkKOOGITWCB+frIiIi0hxjhiE1gwfn6yIiItIUY44zlJio/mjOnK+LiIjII85NJoc33wRSU7URPDhfFxERkSYYKwzdcQcgY7IkIiIi/TFWGJKKt7CIiIgMg2GoNm+TqKqB4YyIiEg2xuxN5o5tEtXaU2YcPGhdnpenTpmSk4GsLODOO63/JierUxYiIqIgxDBko8VJVLUYzoiIiIIMw5CN1iZR1WI4IyIiCkIMQzZam0RVa+GMiIgoSLEBtY3WJlFVKpyxcTYRERkca4ZstDaJqhLhjI2ziYiIGIbstDaJqtzhjI2ziYiIADAMOdLSJKpyhjM2ziYiIrJjGKpt6FBg716goADIzbX+W1KizoCLcoUzNs4mIiKyYwNqV7Q0ierQocCgQYFt5Ky1nnNEREQqYhjSg0CHM631nCMiIlIRb5MZkdZ6zhEREamIYciItNZzjoiISEUMQ0alpZ5zREREKmKbISOTo3E2ERGRzjAMGZ2Wes75g9OJEBFRHTEMkX7l5VkHj6w5ZlJCgrU9FG/zERGRRGwzRPrE6USIiChAGIZIfzidCBERBRDDEOkPpxMhIqIAYhgi/eF0IkREFEAMQ6Q/nE6EiIgCiGGI9IfTiRARUQAxDJH+cDoRIiIKIIYh0idOJ0JERAHCQRdJvzidCBERBYDma4ZycnLQvXt3NGzYEHFxcRg8eDB2796tdrFIK2zTiYwcaf2XQYiIiHyk+TC0YcMGjB8/Hlu3bsW6detQVVWF/v374+zZs2oXjYiIiIKASQhXw/hq17FjxxAXF4cNGzbg+uuvl/SciooKREdHo7y8HI0aNZK5hERERBQISl2/dddmqLy8HAAQExPjdp3KykpUVlbaH1dUVMheLiIiItInzd8mq0kIgSlTpuC6665Dhw4d3K6Xk5OD6Oho+09iYqKCpSQiIiI90dVtsvHjx+PTTz/Fpk2bkJCQ4HY9VzVDiYmJvE1GRESkI7xNVsuDDz6IVatWYePGjR6DEACYzWaYzWaFSkZERER6pvkwJITAgw8+iPz8fBQWFiIlJUXtIhEREVEQ0XwYGj9+PHJzc/HRRx+hYcOGOHz4MAAgOjoaUVFRKpeOiIiI9E7zbYZMbibjXLRoEcaMGSNpG+xaT0REpD9sM/QnjWc1IiIi0jldda0nIiIiCjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI03YShefPmISUlBZGRkejatSuKiorULhIREREFAV2EoaVLl2LSpEl4/PHHsXPnTmRkZODmm2/G/v371S4aERER6ZxJCCHULoQ3PXv2RJcuXfDvf//bvqxt27YYPHgwcnJyvD6/oqIC0dHRKC8vR6NGjeQsKhEREQWIUtdvzdcMXbhwAV9//TX69+/vsLx///7YvHmzSqUiIiKiYBGmdgG8OX78OCwWC5o1a+awvFmzZjh8+LDL51RWVqKystL+uLy8HIA1YRIREZE+2K7bct/E0nwYsjGZTA6PhRBOy2xycnIwc+ZMp+WJiYmylI2IiIjkc+LECURHR8u2fc2HoSZNmiA0NNSpFujo0aNOtUU206ZNw5QpU+yPf//9dyQlJWH//v2yHkytqaioQGJiIkpLSw3VVor7zf02Au4399sIysvL0apVK8TExMj6OpoPQxEREejatSvWrVuHIUOG2JevW7cOgwYNcvkcs9kMs9nstDw6OtpQbyKbRo0acb8NhPttLNxvYzHqfoeEyNvEWfNhCACmTJmC0aNHo1u3brjmmmuwcOFC7N+/H/fdd5/aRSMiIiKd00UY+stf/oITJ07gqaeeQllZGTp06IDVq1cjKSlJ7aIRERGRzukiDAHAAw88gAceeMCv55rNZkyfPt3lrbNgxv3mfhsB95v7bQTcb3n3WxeDLhIRERHJRfODLhIRERHJiWGIiIiIDI1hiIiIiAyNYYiIiIgMTZdhaN68eUhJSUFkZCS6du2KoqIij+tv2LABXbt2RWRkJC6//HLMnz/faZ0VK1agXbt2MJvNaNeuHfLz8+Uqvt982e+8vDz069cPTZs2RaNGjXDNNdfg888/d1hn8eLFMJlMTj/nz5+Xe1d84st+FxYWutynn3/+2WG9YDvfY8aMcbnf7du3t6+jh/O9ceNGDBw4EPHx8TCZTFi5cqXX5wTD59vX/Q6Wz7ev+x0sn29f9ztYPt85OTno3r07GjZsiLi4OAwePBi7d+/2+jwlPuO6C0NLly7FpEmT8Pjjj2Pnzp3IyMjAzTffjP3797tcv6SkBLfccgsyMjKwc+dO/OMf/8DEiROxYsUK+zpbtmzBX/7yF4wePRrffPMNRo8ejeHDh2Pbtm1K7ZZXvu73xo0b0a9fP6xevRpff/01srKyMHDgQOzcudNhvUaNGqGsrMzhJzIyUoldksTX/bbZvXu3wz61adPG/rtgPN+zZ8922N/S0lLExMTgjjvucFhP6+f77Nmz6NSpE+bMmSNp/WD5fPu638Hy+fZ1v230/vn2db+D5fO9YcMGjB8/Hlu3bsW6detQVVWF/v374+zZs26fo9hnXOhMjx49xH333eewLD09XUydOtXl+o8++qhIT093WDZu3Dhx9dVX2x8PHz5c3HTTTQ7r3HjjjWLEiBEBKnXd+brfrrRr107MnDnT/njRokUiOjo6UEWUha/7XVBQIACIU6dOud2mEc53fn6+MJlMYu/evfZlejjfNQEQ+fn5HtcJls93TVL22xU9fr5rkrLfwfL5rsmf8x0Mn28hhDh69KgAIDZs2OB2HaU+47qqGbpw4QK+/vpr9O/f32F5//79sXnzZpfP2bJli9P6N954I7Zv346LFy96XMfdNpXmz37XVl1djdOnTztNdnfmzBkkJSUhISEBt956q9Nflmqqy35fddVVaNGiBfr27YuCggKH3xnhfL/11lu44YYbnEZp1/L59kcwfL4DQY+f77rQ8+c7EILl811eXg4AHidhVeozrqswdPz4cVgsFqfZ6ps1a+Y0q73N4cOHXa5fVVWF48ePe1zH3TaV5s9+1/bKK6/g7NmzGD58uH1Zeno6Fi9ejFWrVmHJkiWIjIxEr1698Ouvvwa0/P7yZ79btGiBhQsXYsWKFcjLy0NaWhr69u2LjRs32tcJ9vNdVlaGzz77DH/9618dlmv9fPsjGD7fgaDHz7c/guHzXVfB8vkWQmDKlCm47rrr0KFDB7frKfUZ1810HDWZTCaHx0IIp2Xe1q+93NdtqsHfMi5ZsgQzZszARx99hLi4OPvyq6++GldffbX9ca9evdClSxe8/vrr+Ne//hW4gteRL/udlpaGtLQ0++NrrrkGpaWlePnll3H99df7tU21+FvGxYsXo3Hjxhg8eLDDcr2cb18Fy+fbX3r/fPsimD7f/gqWz/eECRPw7bffYtOmTV7XVeIzrquaoSZNmiA0NNQp7R09etQpFdo0b97c5fphYWGIjY31uI67bSrNn/22Wbp0Ke655x58+OGHuOGGGzyuGxISgu7du2vmL4m67HdNV199tcM+BfP5FkLg7bffxujRoxEREeFxXa2db38Ew+e7LvT8+Q4UvX2+6yJYPt8PPvggVq1ahYKCAiQkJHhcV6nPuK7CUEREBLp27Yp169Y5LF+3bh2uvfZal8+55pprnNZfu3YtunXrhvDwcI/ruNum0vzZb8D6F+OYMWOQm5uLAQMGeH0dIQR27dqFFi1a1LnMgeDvfte2c+dOh30K1vMNWHtr7NmzB/fcc4/X19Ha+fZHMHy+/aX3z3eg6O3zXRd6/3wLITBhwgTk5eVh/fr1SElJ8focxT7jkptaa8QHH3wgwsPDxVtvvSV+/PFHMWnSJFG/fn17q/qpU6eK0aNH29f/3//+J+rVqycmT54sfvzxR/HWW2+J8PBwsXz5cvs6X331lQgNDRXPP/+8+Omnn8Tzzz8vwsLCxNatWxXfP3d83e/c3FwRFhYm5s6dK8rKyuw/v//+u32dGTNmiDVr1ojffvtN7Ny5U4wdO1aEhYWJbdu2Kb5/7vi636+99prIz88Xv/zyi/j+++/F1KlTBQCxYsUK+zrBeL5tRo0aJXr27Olym3o436dPnxY7d+4UO3fuFADEq6++Knbu3Cn27dsnhAjez7ev+x0sn29f9ztYPt++7reN3j/f999/v4iOjhaFhYUO79tz587Z11HrM667MCSEEHPnzhVJSUkiIiJCdOnSxaFbXnZ2tujdu7fD+oWFheKqq64SERERIjk5Wfz73/922uayZctEWlqaCA8PF+np6Q4fLq3wZb979+4tADj9ZGdn29eZNGmSaNWqlYiIiBBNmzYV/fv3F5s3b1Zwj6TxZb9feOEFkZqaKiIjI8Vll10mrrvuOvHpp586bTPYzrcQQvz+++8iKipKLFy40OX29HC+bV2n3b1vg/Xz7et+B8vn29f9DpbPtz/v82D4fLvaZwBi0aJF9nXU+oyb/iwgERERkSHpqs0QERERUaAxDBEREZGhMQwRERGRoTEMERERkaExDBEREZGhMQwRERGRoTEMERERkaExDBEREZGhMQwRERGRoTEMERERkaExDBGRLi1ZsgSRkZE4ePCgfdlf//pXdOzYEeXl5SqWjIj0hnOTEZEuCSHQuXNnZGRkYM6cOZg5cybefPNNbN26FS1btlS7eESkI2FqF4CIyB8mkwnPPvsshg0bhvj4eMyePRtFRUUMQkTkM9YMEZGudenSBT/88APWrl2L3r17q10cItIhthkiIt36/PPP8fPPP8NisaBZs2ZqF4eIdIo1Q0SkSzt27EBmZibmzp2LDz74APXq1cOyZcvULhYR6RDbDBGR7uzduxcDBgzA1KlTMXr0aLRr1w7du3fH119/ja5du6pdPCLSGdYMEZGunDx5Er169cL111+PBQsW2JcPGjQIlZWVWLNmjYqlIyI9YhgiIiIiQ2MDaiIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMjSGISIiIjI0hiEiIiIyNIYhIiIiMrT/B90U15nE758kAAAAAElFTkSuQmCC",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "id": "e439d732",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "from random import random, seed\n",
     "import numpy as np\n",
@@ -2107,8 +2332,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "06107436",
-   "metadata": {},
+   "id": "aa6db5fd",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Using gradient descent methods, limitations\n",
     "\n",
@@ -2127,8 +2354,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "bd3205c7",
-   "metadata": {},
+   "id": "4cf99d2c",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Improving gradient descent with momentum\n",
     "\n",
@@ -2138,56 +2367,12 @@
   {
    "cell_type": "code",
    "execution_count": 10,
-   "id": "98ec014e",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      ">0 f([0.74724774]) = 0.55838\n",
-      ">1 f([0.59779819]) = 0.35736\n",
-      ">2 f([0.47823856]) = 0.22871\n",
-      ">3 f([0.38259084]) = 0.14638\n",
-      ">4 f([0.30607268]) = 0.09368\n",
-      ">5 f([0.24485814]) = 0.05996\n",
-      ">6 f([0.19588651]) = 0.03837\n",
-      ">7 f([0.15670921]) = 0.02456\n",
-      ">8 f([0.12536737]) = 0.01572\n",
-      ">9 f([0.10029389]) = 0.01006\n",
-      ">10 f([0.08023512]) = 0.00644\n",
-      ">11 f([0.06418809]) = 0.00412\n",
-      ">12 f([0.05135047]) = 0.00264\n",
-      ">13 f([0.04108038]) = 0.00169\n",
-      ">14 f([0.0328643]) = 0.00108\n",
-      ">15 f([0.02629144]) = 0.00069\n",
-      ">16 f([0.02103315]) = 0.00044\n",
-      ">17 f([0.01682652]) = 0.00028\n",
-      ">18 f([0.01346122]) = 0.00018\n",
-      ">19 f([0.01076897]) = 0.00012\n",
-      ">20 f([0.00861518]) = 0.00007\n",
-      ">21 f([0.00689214]) = 0.00005\n",
-      ">22 f([0.00551372]) = 0.00003\n",
-      ">23 f([0.00441097]) = 0.00002\n",
-      ">24 f([0.00352878]) = 0.00001\n",
-      ">25 f([0.00282302]) = 0.00001\n",
-      ">26 f([0.00225842]) = 0.00001\n",
-      ">27 f([0.00180673]) = 0.00000\n",
-      ">28 f([0.00144539]) = 0.00000\n",
-      ">29 f([0.00115631]) = 0.00000\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": "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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "id": "3eaa6001",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "from numpy import asarray\n",
     "from numpy import arange\n",
@@ -2248,8 +2433,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "35d2b3d9",
-   "metadata": {},
+   "id": "a94bcdd8",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Same code but now with momentum gradient descent"
    ]
@@ -2257,56 +2444,12 @@
   {
    "cell_type": "code",
    "execution_count": 11,
-   "id": "ca391f17",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      ">0 f([0.74724774]) = 0.55838\n",
-      ">1 f([0.54175461]) = 0.29350\n",
-      ">2 f([0.37175575]) = 0.13820\n",
-      ">3 f([0.24640494]) = 0.06072\n",
-      ">4 f([0.15951871]) = 0.02545\n",
-      ">5 f([0.1015491]) = 0.01031\n",
-      ">6 f([0.0638484]) = 0.00408\n",
-      ">7 f([0.03976851]) = 0.00158\n",
-      ">8 f([0.02459084]) = 0.00060\n",
-      ">9 f([0.01511937]) = 0.00023\n",
-      ">10 f([0.00925406]) = 0.00009\n",
-      ">11 f([0.00564365]) = 0.00003\n",
-      ">12 f([0.0034318]) = 0.00001\n",
-      ">13 f([0.00208188]) = 0.00000\n",
-      ">14 f([0.00126053]) = 0.00000\n",
-      ">15 f([0.00076202]) = 0.00000\n",
-      ">16 f([0.00046006]) = 0.00000\n",
-      ">17 f([0.00027746]) = 0.00000\n",
-      ">18 f([0.00016719]) = 0.00000\n",
-      ">19 f([0.00010067]) = 0.00000\n",
-      ">20 f([6.05804744e-05]) = 0.00000\n",
-      ">21 f([3.64373635e-05]) = 0.00000\n",
-      ">22 f([2.19069576e-05]) = 0.00000\n",
-      ">23 f([1.31664443e-05]) = 0.00000\n",
-      ">24 f([7.91100141e-06]) = 0.00000\n",
-      ">25 f([4.75216828e-06]) = 0.00000\n",
-      ">26 f([2.85408468e-06]) = 0.00000\n",
-      ">27 f([1.71384267e-06]) = 0.00000\n",
-      ">28 f([1.02900153e-06]) = 0.00000\n",
-      ">29 f([6.17748881e-07]) = 0.00000\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": "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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "id": "a83da0e4",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "from numpy import asarray\n",
     "from numpy import arange\n",
@@ -2375,8 +2518,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "181b30b4",
-   "metadata": {},
+   "id": "3ac55f04",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Overview video on Stochastic Gradient Descent\n",
     "\n",
@@ -2385,8 +2530,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b51d1452",
-   "metadata": {},
+   "id": "2a8579fd",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Batches and mini-batches\n",
     "\n",
@@ -2404,8 +2551,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "85bbbc0c",
-   "metadata": {},
+   "id": "d07dbbb0",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Stochastic Gradient Descent (SGD)\n",
     "\n",
@@ -2434,8 +2583,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "56b2b867",
-   "metadata": {},
+   "id": "f7050d91",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Stochastic Gradient Descent\n",
     "\n",
@@ -2449,8 +2600,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "386e0c45",
-   "metadata": {},
+   "id": "53a1eb81",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "C(\\mathbf{\\beta}) = \\sum_{i=1}^n c_i(\\mathbf{x}_i,\n",
@@ -2460,8 +2613,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "0f6d09dd",
-   "metadata": {},
+   "id": "e4d86364",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Computation of gradients\n",
     "\n",
@@ -2471,8 +2626,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "99541bf1",
-   "metadata": {},
+   "id": "0fb47ea3",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\nabla_\\beta C(\\mathbf{\\beta}) = \\sum_i^n \\nabla_\\beta c_i(\\mathbf{x}_i,\n",
@@ -2482,8 +2639,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a24ce1cc",
-   "metadata": {},
+   "id": "61242d66",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Stochasticity/randomness is introduced by only taking the\n",
     "gradient on a subset of the data called minibatches.  If there are $n$\n",
@@ -2494,8 +2653,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d6c2eea5",
-   "metadata": {},
+   "id": "242ed688",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## SGD example\n",
     "As an example, suppose we have $10$ data points $(\\mathbf{x}_1,\\cdots, \\mathbf{x}_{10})$ \n",
@@ -2514,8 +2675,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b2561a99",
-   "metadata": {},
+   "id": "9888d0c0",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\nabla_{\\beta}\n",
@@ -2527,8 +2690,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a0fb8d89",
-   "metadata": {},
+   "id": "00908421",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## The gradient step\n",
     "\n",
@@ -2537,8 +2702,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "71856a7b",
-   "metadata": {},
+   "id": "4dfe9a45",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\beta_{j+1} = \\beta_j - \\gamma_j \\sum_{i \\in B_k}^n \\nabla_\\beta c_i(\\mathbf{x}_i,\n",
@@ -2548,8 +2715,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9859ff14",
-   "metadata": {},
+   "id": "d91957f8",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "where $k$ is picked at random with equal\n",
     "probability from $[1,n/M]$. An iteration over the number of\n",
@@ -2560,8 +2729,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6558ed12",
-   "metadata": {},
+   "id": "2bf38592",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Simple example code"
    ]
@@ -2569,8 +2740,11 @@
   {
    "cell_type": "code",
    "execution_count": 12,
-   "id": "f8cee4e8",
-   "metadata": {},
+   "id": "43232599",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "import numpy as np \n",
@@ -2591,8 +2765,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "aac3d48e",
-   "metadata": {},
+   "id": "b6d1acf5",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Taking the gradient only on a subset of the data has two important\n",
     "benefits. First, it introduces randomness which decreases the chance\n",
@@ -2605,8 +2781,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "657c6870",
-   "metadata": {},
+   "id": "a14ce3ad",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## When do we stop?\n",
     "\n",
@@ -2624,8 +2802,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5a8d8a8d",
-   "metadata": {},
+   "id": "5d674391",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Slightly different approach\n",
     "\n",
@@ -2642,8 +2822,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "e0c75855",
-   "metadata": {},
+   "id": "b01f74c8",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Time decay rate\n",
     "\n",
@@ -2659,17 +2841,12 @@
   {
    "cell_type": "code",
    "execution_count": 13,
-   "id": "8368a998",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "gamma_j after 500 epochs: 9.97108e-05\n"
-     ]
-    }
-   ],
+   "id": "81c42935",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "import numpy as np \n",
     "\n",
@@ -2699,8 +2876,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a99e7227",
-   "metadata": {},
+   "id": "5a28593f",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Code with a Number of Minibatches which varies\n",
     "\n",
@@ -2710,36 +2889,12 @@
   {
    "cell_type": "code",
    "execution_count": 14,
-   "id": "b567ba9d",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Own inversion\n",
-      "[[4.08687303]\n",
-      " [3.00141727]]\n",
-      "Eigenvalues of Hessian Matrix:[0.29653038 4.0474753 ]\n",
-      "theta from own gd\n",
-      "[[4.08687303]\n",
-      " [3.00141727]]\n",
-      "theta from own sdg\n",
-      "[[4.014934 ]\n",
-      " [3.0042992]]\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": "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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "id": "94ca81fd",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "# Importing various packages\n",
     "from math import exp, sqrt\n",
@@ -2811,8 +2966,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8ea309ee",
-   "metadata": {},
+   "id": "603b60cd",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Replace or not\n",
     "\n",
@@ -2824,8 +2981,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5573b607",
-   "metadata": {},
+   "id": "19b9dcdb",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Momentum based GD\n",
     "\n",
@@ -2837,8 +2996,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "5c393430",
-   "metadata": {},
+   "id": "a22a038a",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\mathbf{v}_{t}=\\gamma \\mathbf{v}_{t-1}+\\eta_{t}\\nabla_\\theta E(\\boldsymbol{\\theta}_t) \\nonumber\n",
@@ -2847,8 +3008,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "03d76b90",
-   "metadata": {},
+   "id": "787585ab",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "<!-- Equation labels as ordinary links -->\n",
     "<div id=\"_auto1\"></div>\n",
@@ -2863,8 +3026,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "c9de2175",
-   "metadata": {},
+   "id": "96ff0afc",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "where we have introduced a momentum parameter $\\gamma$, with\n",
     "$0\\le\\gamma\\le 1$, and for brevity we dropped the explicit notation to\n",
@@ -2880,8 +3045,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a493002b",
-   "metadata": {},
+   "id": "61791f14",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\Delta \\boldsymbol{\\theta}_{t+1} = \\gamma \\Delta \\boldsymbol{\\theta}_t -\\ \\eta_{t}\\nabla_\\theta E(\\boldsymbol{\\theta}_t),\n",
@@ -2890,16 +3057,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "cb1d7212",
-   "metadata": {},
+   "id": "f823f328",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "where we have defined $\\Delta \\boldsymbol{\\theta}_{t}= \\boldsymbol{\\theta}_t-\\boldsymbol{\\theta}_{t-1}$."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "91135b7f",
-   "metadata": {},
+   "id": "c4d9d496",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## More on momentum based approaches\n",
     "\n",
@@ -2912,8 +3083,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "57c90f73",
-   "metadata": {},
+   "id": "391417ce",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "m {d^2 \\mathbf{w} \\over dt^2} + \\mu {d \\mathbf{w} \\over dt }= -\\nabla_w E(\\mathbf{w}).\n",
@@ -2922,16 +3095,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "28fc8c64",
-   "metadata": {},
+   "id": "4f023c4e",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "We can discretize this equation in the usual way to get"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "9ea86afa",
-   "metadata": {},
+   "id": "69270617",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "m { \\mathbf{w}_{t+\\Delta t}-2 \\mathbf{w}_{t} +\\mathbf{w}_{t-\\Delta t} \\over (\\Delta t)^2}+\\mu {\\mathbf{w}_{t+\\Delta t}- \\mathbf{w}_{t} \\over \\Delta t} = -\\nabla_w E(\\mathbf{w}).\n",
@@ -2940,16 +3117,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "259f8bd9",
-   "metadata": {},
+   "id": "2a4e6d30",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Rearranging this equation, we can rewrite this as"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "1b3b21b9",
-   "metadata": {},
+   "id": "359bd99b",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\Delta \\mathbf{w}_{t +\\Delta t}= - { (\\Delta t)^2 \\over m +\\mu \\Delta t} \\nabla_w E(\\mathbf{w})+ {m \\over m +\\mu \\Delta t} \\Delta \\mathbf{w}_t.\n",
@@ -2958,8 +3139,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "931ce41d",
-   "metadata": {},
+   "id": "7ea6f847",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Momentum parameter\n",
     "\n",
@@ -2972,8 +3155,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d1d161a1",
-   "metadata": {},
+   "id": "691c8355",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\gamma= {m \\over m +\\mu \\Delta t }, \\qquad \\eta = {(\\Delta t)^2 \\over m +\\mu \\Delta t}.\n",
@@ -2982,8 +3167,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4f3657ba",
-   "metadata": {},
+   "id": "36be1849",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Thus, as the name suggests, the momentum parameter is proportional to\n",
     "the mass of the particle and effectively provides inertia.\n",
@@ -3013,8 +3200,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "81824da9",
-   "metadata": {},
+   "id": "2b7f8487",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\mathbf{v}_{t}=\\gamma \\mathbf{v}_{t-1}+\\eta_{t}\\nabla_\\theta E(\\boldsymbol{\\theta}_t +\\gamma \\mathbf{v}_{t-1}) \\nonumber\n",
@@ -3023,8 +3212,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6295bc9d",
-   "metadata": {},
+   "id": "d8a09725",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "<!-- Equation labels as ordinary links -->\n",
     "<div id=\"_auto2\"></div>\n",
@@ -3039,16 +3230,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7a094665",
-   "metadata": {},
+   "id": "2d94a01d",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "One of the major advantages of NAG is that it allows for the use of a larger learning rate than GDM for the same choice of $\\gamma$."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "f0c6bb20",
-   "metadata": {},
+   "id": "65d01e36",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Second moment of the gradient\n",
     "\n",
@@ -3076,8 +3271,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ce3b45b6",
-   "metadata": {},
+   "id": "8da72974",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## RMS prop\n",
     "\n",
@@ -3089,8 +3286,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ee7e2069",
-   "metadata": {},
+   "id": "c58d0f20",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "<!-- Equation labels as ordinary links -->\n",
     "<div id=\"_auto3\"></div>\n",
@@ -3105,8 +3304,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ec4f73bb",
-   "metadata": {},
+   "id": "e5dc0738",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\mathbf{s}_t =\\beta \\mathbf{s}_{t-1} +(1-\\beta)\\mathbf{g}_t^2 \\nonumber\n",
@@ -3115,8 +3316,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "fa5cb9a2",
-   "metadata": {},
+   "id": "fbd6fdd8",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{\\theta}_{t+1}=\\boldsymbol{\\theta}_t - \\eta_t { \\mathbf{g}_t \\over \\sqrt{\\mathbf{s}_t +\\epsilon}}, \\nonumber\n",
@@ -3125,8 +3328,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "eb93379a",
-   "metadata": {},
+   "id": "626dc040",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "where $\\beta$ controls the averaging time of the second moment and is\n",
     "typically taken to be about $\\beta=0.9$, $\\eta_t$ is a learning rate\n",
@@ -3141,8 +3346,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b46162a4",
-   "metadata": {},
+   "id": "6fcf9b87",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## [ADAM optimizer](https://arxiv.org/abs/1412.6980)\n",
     "\n",
@@ -3168,8 +3375,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "d103bc6a",
-   "metadata": {},
+   "id": "88bbaad2",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "<!-- Equation labels as ordinary links -->\n",
     "<div id=\"_auto4\"></div>\n",
@@ -3184,8 +3393,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a0f031f6",
-   "metadata": {},
+   "id": "b4349ab6",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\mathbf{m}_t = \\beta_1 \\mathbf{m}_{t-1} + (1-\\beta_1) \\mathbf{g}_t \\nonumber\n",
@@ -3194,8 +3405,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2b384f75",
-   "metadata": {},
+   "id": "b2215a9e",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\mathbf{s}_t =\\beta_2 \\mathbf{s}_{t-1} +(1-\\beta_2)\\mathbf{g}_t^2 \\nonumber\n",
@@ -3204,8 +3417,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "216435a6",
-   "metadata": {},
+   "id": "4d2452fb",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{\\mathbf{m}}_t={\\mathbf{m}_t \\over 1-\\beta_1^t} \\nonumber\n",
@@ -3214,8 +3429,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8b79e19e",
-   "metadata": {},
+   "id": "2af543bd",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{\\mathbf{s}}_t ={\\mathbf{s}_t \\over1-\\beta_2^t} \\nonumber\n",
@@ -3224,8 +3441,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ba777281",
-   "metadata": {},
+   "id": "67134da9",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\boldsymbol{\\theta}_{t+1}=\\boldsymbol{\\theta}_t - \\eta_t { \\boldsymbol{\\mathbf{m}}_t \\over \\sqrt{\\boldsymbol{\\mathbf{s}}_t} +\\epsilon}, \\nonumber\n",
@@ -3234,8 +3453,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f34eb136",
-   "metadata": {},
+   "id": "59683156",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "<!-- Equation labels as ordinary links -->\n",
     "<div id=\"_auto5\"></div>\n",
@@ -3249,8 +3470,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "695da6fd",
-   "metadata": {},
+   "id": "56b23d7b",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "where $\\beta_1$ and $\\beta_2$ set the memory lifetime of the first and\n",
     "second moment and are typically taken to be $0.9$ and $0.99$\n",
@@ -3266,8 +3489,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8771f487",
-   "metadata": {},
+   "id": "ef6b130f",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "\\Delta \\theta_{t+1}= -\\eta_t { \\boldsymbol{m}_t \\over \\sqrt{\\sigma_t^2 +  m_t^2 }+\\epsilon}.\n",
@@ -3276,8 +3501,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "6b816830",
-   "metadata": {},
+   "id": "55d1d0ff",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Algorithms and codes for Adagrad, RMSprop and Adam\n",
     "\n",
@@ -3288,8 +3515,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "4efb5cb8",
-   "metadata": {},
+   "id": "5b0fb743",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Practical tips\n",
     "\n",
@@ -3306,8 +3535,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "de7affbf",
-   "metadata": {},
+   "id": "ea05bbe2",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Automatic differentiation\n",
     "\n",
@@ -3342,8 +3573,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "3383da7c",
-   "metadata": {},
+   "id": "b4cf1ace",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "f(x) = \\sin\\left(2\\pi x + x^2\\right)\n",
@@ -3352,16 +3585,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a8a03664",
-   "metadata": {},
+   "id": "862002bf",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "which has the following derivative"
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "da4e8c9e",
-   "metadata": {},
+   "id": "be897152",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "$$\n",
     "f'(x) = \\cos\\left(2\\pi x + x^2\\right)\\left(2\\pi + 2x\\right)\n",
@@ -3370,8 +3607,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b35c008d",
-   "metadata": {},
+   "id": "13e4ae3a",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Using **autograd** we have"
    ]
@@ -3379,27 +3618,12 @@
   {
    "cell_type": "code",
    "execution_count": 15,
-   "id": "9bb36858",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "image/png": "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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "The max absolute difference is: 1.77636e-15\n"
-     ]
-    }
-   ],
+   "id": "d4a79e0d",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "import autograd.numpy as np\n",
     "\n",
@@ -3439,8 +3663,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "9f8c7b5e",
-   "metadata": {},
+   "id": "4d3694c5",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Using autograd\n",
     "\n",
@@ -3454,18 +3680,12 @@
   {
    "cell_type": "code",
    "execution_count": 16,
-   "id": "65176228",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "The gradient of f1 evaluated at a = 1 using autograd is: 3\n",
-      "The gradient of f1 evaluated at a = 1 by finding the analytic expression is: 3\n"
-     ]
-    }
-   ],
+   "id": "a9719490",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "import autograd.numpy as np\n",
     "from autograd import grad\n",
@@ -3488,8 +3708,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "44375951",
-   "metadata": {},
+   "id": "b2259ecd",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Autograd with more complicated functions\n",
     "\n",
@@ -3501,23 +3723,12 @@
   {
    "cell_type": "code",
    "execution_count": 17,
-   "id": "63ebdbaf",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Evaluating at x1 = 1, x2 = 3\n",
-      "------------------------------\n",
-      "The derivative of f2 w.r.t x1: 12\n",
-      "The analytical derivative of f2 w.r.t x1: 12\n",
-      "\n",
-      "The derivative of f2 w.r.t x2: -4\n",
-      "The analytical derivative of f2 w.r.t x2: -4\n"
-     ]
-    }
-   ],
+   "id": "5b154fa9",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "import autograd.numpy as np\n",
     "from autograd import grad\n",
@@ -3556,16 +3767,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "ddef1f9a",
-   "metadata": {},
+   "id": "733bbca1",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Note that the grad function will not produce the true gradient of the function. The true gradient of a function with two or more variables will produce a vector, where each element is the function differentiated w.r.t a variable."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "c6ff810b",
-   "metadata": {},
+   "id": "d817341e",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## More complicated functions using the elements of their arguments directly"
    ]
@@ -3573,18 +3788,12 @@
   {
    "cell_type": "code",
    "execution_count": 18,
-   "id": "8c1ef66a",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "The computed gradient of f3 is:  [ 2.  3.  5.  7. 88.]\n",
-      "The analytical gradient of f3 is:  [ 2.  3.  5.  7. 88.]\n"
-     ]
-    }
-   ],
+   "id": "1289ab58",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "import autograd.numpy as np\n",
     "from autograd import grad\n",
@@ -3607,8 +3816,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7ac0e490",
-   "metadata": {},
+   "id": "7d4fed1d",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Note that in this case, when sending an array as input argument, the\n",
     "output from Autograd is another array. This is the true gradient of\n",
@@ -3620,8 +3831,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f817a4b1",
-   "metadata": {},
+   "id": "5ad8360a",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Functions using mathematical functions from Numpy"
    ]
@@ -3629,18 +3842,12 @@
   {
    "cell_type": "code",
    "execution_count": 19,
-   "id": "9950eceb",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "The computed derivative of f4 at x = 2.7 is: 13.8759\n",
-      "The analytical gradient of f4 at x = 2.7 is: 13.8759\n"
-     ]
-    }
-   ],
+   "id": "0cf2c306",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "import autograd.numpy as np\n",
     "from autograd import grad\n",
@@ -3663,8 +3870,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "2d3597e1",
-   "metadata": {},
+   "id": "70050aa3",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## More autograd"
    ]
@@ -3672,17 +3881,12 @@
   {
    "cell_type": "code",
    "execution_count": 20,
-   "id": "a694b773",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "The computed derivative of f5 at x = 2.7 is: 5.4\n"
-     ]
-    }
-   ],
+   "id": "7eee1b5e",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "import autograd.numpy as np\n",
     "from autograd import grad\n",
@@ -3702,8 +3906,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "63681987",
-   "metadata": {},
+   "id": "352a0503",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## And  with loops"
    ]
@@ -3711,18 +3917,12 @@
   {
    "cell_type": "code",
    "execution_count": 21,
-   "id": "ae061106",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "The computed derivative of f6_for at x = 0.5 is: 3.95703\n",
-      "The computed derivative of f6_while at x = 0.5 is: 3.95703\n"
-     ]
-    }
-   ],
+   "id": "943cc42b",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "import autograd.numpy as np\n",
     "from autograd import grad\n",
@@ -3753,17 +3953,12 @@
   {
    "cell_type": "code",
    "execution_count": 22,
-   "id": "a194eddc",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "The analytical derivative of f6 at x = 0.5 is: 3.95703\n"
-     ]
-    }
-   ],
+   "id": "e8664459",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "import autograd.numpy as np\n",
     "from autograd import grad\n",
@@ -3778,8 +3973,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "8c21cf38",
-   "metadata": {},
+   "id": "6ddce8f0",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Using recursion"
    ]
@@ -3787,18 +3984,12 @@
   {
    "cell_type": "code",
    "execution_count": 23,
-   "id": "3eb55bad",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "The computed derivative of f7 at n = 2 is: 1\n",
-      "The analytical derivative of f7 at n = 2 is: 1\n"
-     ]
-    }
-   ],
+   "id": "96a3253f",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "import autograd.numpy as np\n",
     "from autograd import grad\n",
@@ -3831,16 +4022,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "12fbb13b",
-   "metadata": {},
+   "id": "8b25fa4c",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Note that if n is equal to zero or one, Autograd will give an error message. This message appears when the output is independent on input."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "19ed9d51",
-   "metadata": {},
+   "id": "e225412f",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Unsupported functions\n",
     "Autograd supports many features. However, there are some functions that is not supported (yet) by Autograd.\n",
@@ -3851,8 +4046,11 @@
   {
    "cell_type": "code",
    "execution_count": 24,
-   "id": "fb297a92",
-   "metadata": {},
+   "id": "89af0ad7",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "import autograd.numpy as np\n",
@@ -3870,16 +4068,20 @@
   },
   {
    "cell_type": "markdown",
-   "id": "06d0bc95",
-   "metadata": {},
+   "id": "87db5510",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Here, running this code, Autograd tells us that an 'ArrayBox' does not support item assignment. The item assignment is done when the program tries to assign x[2] to the value 3. However, Autograd has implemented the computation of the derivative such that this assignment is not possible."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "9974f300",
-   "metadata": {},
+   "id": "21d8ac43",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## The syntax a.dot(b) when finding the dot product"
    ]
@@ -3887,8 +4089,11 @@
   {
    "cell_type": "code",
    "execution_count": 25,
-   "id": "cbb0a202",
-   "metadata": {},
+   "id": "5411f897",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "import autograd.numpy as np\n",
@@ -3906,8 +4111,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "7f08b96c",
-   "metadata": {},
+   "id": "f6b40ee1",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Here we are told that the 'dot' function does not belong to Autograd's\n",
     "version of a Numpy array.  To overcome this, an alternative syntax\n",
@@ -3917,17 +4124,12 @@
   {
    "cell_type": "code",
    "execution_count": 26,
-   "id": "cba444cd",
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "The gradient of f9 is: [1. 2.]\n"
-     ]
-    }
-   ],
+   "id": "9590986c",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
+   "outputs": [],
    "source": [
     "import autograd.numpy as np\n",
     "from autograd import grad\n",
@@ -3947,42 +4149,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "18e2b174",
-   "metadata": {},
-   "source": [
-    "## Recommended to avoid\n",
-    "The documentation recommends to avoid inplace operations such as"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 27,
-   "id": "69c6914d",
-   "metadata": {},
-   "outputs": [
-    {
-     "ename": "NameError",
-     "evalue": "name 'b' is not defined",
-     "output_type": "error",
-     "traceback": [
-      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
-      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
-      "Cell \u001b[0;32mIn[27], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m a \u001b[38;5;241m+\u001b[39m\u001b[38;5;241m=\u001b[39m \u001b[43mb\u001b[49m\n\u001b[1;32m      2\u001b[0m a \u001b[38;5;241m-\u001b[39m\u001b[38;5;241m=\u001b[39m b\n\u001b[1;32m      3\u001b[0m a\u001b[38;5;241m*\u001b[39m\u001b[38;5;241m=\u001b[39m b\n",
-      "\u001b[0;31mNameError\u001b[0m: name 'b' is not defined"
-     ]
-    }
-   ],
-   "source": [
-    "a += b\n",
-    "a -= b\n",
-    "a*= b\n",
-    "a /=b"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "600cc052",
-   "metadata": {},
+   "id": "2085a755",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Using Autograd with OLS\n",
     "\n",
@@ -3993,9 +4163,12 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "cd18340b",
-   "metadata": {},
+   "execution_count": 27,
+   "id": "8108ae0a",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "# Using Autograd to calculate gradients for OLS\n",
@@ -4051,17 +4224,22 @@
   },
   {
    "cell_type": "markdown",
-   "id": "849de571",
-   "metadata": {},
+   "id": "b11794c2",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Same code but now with momentum gradient descent"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "ac458170",
-   "metadata": {},
+   "execution_count": 28,
+   "id": "d0d357c7",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "# Using Autograd to calculate gradients for OLS\n",
@@ -4121,17 +4299,22 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f33ed0dd",
-   "metadata": {},
+   "id": "641a2e50",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## But none of these can compete with Newton's method"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "e6b06cdb",
-   "metadata": {},
+   "execution_count": 29,
+   "id": "ca6775b3",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "# Using Newton's method\n",
@@ -4176,8 +4359,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "90de8a04",
-   "metadata": {},
+   "id": "75ed4c75",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Including Stochastic Gradient Descent with Autograd\n",
     "In this code we include the stochastic gradient descent approach discussed above. Note here that we specify which argument we are taking the derivative with respect to when using **autograd**."
@@ -4185,9 +4370,12 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "a010a209",
-   "metadata": {},
+   "execution_count": 30,
+   "id": "5a69be60",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "# Using Autograd to calculate gradients using SGD\n",
@@ -4267,17 +4455,22 @@
   },
   {
    "cell_type": "markdown",
-   "id": "18298e5e",
-   "metadata": {},
+   "id": "345a84dc",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Same code but now with momentum gradient descent"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "3320d6c6",
-   "metadata": {},
+   "execution_count": 31,
+   "id": "656324bd",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "# Using Autograd to calculate gradients using SGD\n",
@@ -4351,17 +4544,22 @@
   },
   {
    "cell_type": "markdown",
-   "id": "f1411612",
-   "metadata": {},
+   "id": "a4f56c77",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Similar (second order function now) problem but now with AdaGrad"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "19414323",
-   "metadata": {},
+   "execution_count": 32,
+   "id": "69086c69",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "# Using Autograd to calculate gradients using AdaGrad and Stochastic Gradient descent\n",
@@ -4416,25 +4614,32 @@
   },
   {
    "cell_type": "markdown",
-   "id": "a77cdfa4",
-   "metadata": {},
+   "id": "aaf0ff5c",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "Running this code we note an almost perfect agreement with the results from matrix inversion."
    ]
   },
   {
    "cell_type": "markdown",
-   "id": "9f488085",
-   "metadata": {},
+   "id": "adc13d31",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## RMSprop for adaptive learning rate with Stochastic Gradient Descent"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "6724b3d2",
-   "metadata": {},
+   "execution_count": 33,
+   "id": "ca22be17",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "# Using Autograd to calculate gradients using RMSprop  and Stochastic Gradient descent\n",
@@ -4495,17 +4700,22 @@
   },
   {
    "cell_type": "markdown",
-   "id": "09728e4a",
-   "metadata": {},
+   "id": "20bdfaf1",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## And finally [ADAM](https://arxiv.org/pdf/1412.6980.pdf)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "28aa6aad",
-   "metadata": {},
+   "execution_count": 34,
+   "id": "aebc385b",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "# Using Autograd to calculate gradients using RMSprop  and Stochastic Gradient descent\n",
@@ -4571,17 +4781,22 @@
   },
   {
    "cell_type": "markdown",
-   "id": "70fc8bdd",
-   "metadata": {},
+   "id": "59f9e902",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## And Logistic Regression"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "f3dde7c5",
-   "metadata": {},
+   "execution_count": 35,
+   "id": "0787385b",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "import autograd.numpy as np\n",
@@ -4621,8 +4836,10 @@
   },
   {
    "cell_type": "markdown",
-   "id": "b46c449b",
-   "metadata": {},
+   "id": "69ab7a74",
+   "metadata": {
+    "editable": true
+   },
    "source": [
     "## Introducing [JAX](https://jax.readthedocs.io/en/latest/)\n",
     "\n",
@@ -4637,9 +4854,12 @@
   },
   {
    "cell_type": "code",
-   "execution_count": null,
-   "id": "291c9b6d",
-   "metadata": {},
+   "execution_count": 36,
+   "id": "fec78172",
+   "metadata": {
+    "collapsed": false,
+    "editable": true
+   },
    "outputs": [],
    "source": [
     "import jax.numpy as jnp\n",
@@ -4652,35 +4872,9 @@
     "derivative_fn = grad(sum_logistic)\n",
     "print(derivative_fn(x_small))"
    ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "id": "e201d58b",
-   "metadata": {},
-   "outputs": [],
-   "source": []
   }
  ],
- "metadata": {
-  "kernelspec": {
-   "display_name": "Python 3 (ipykernel)",
-   "language": "python",
-   "name": "python3"
-  },
-  "language_info": {
-   "codemirror_mode": {
-    "name": "ipython",
-    "version": 3
-   },
-   "file_extension": ".py",
-   "mimetype": "text/x-python",
-   "name": "python",
-   "nbconvert_exporter": "python",
-   "pygments_lexer": "ipython3",
-   "version": "3.9.18"
-  }
- },
+ "metadata": {},
  "nbformat": 4,
  "nbformat_minor": 5
 }