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956 lines
687 KiB
Plaintext
956 lines
687 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"# Computer session 1"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Basics in Python"
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]
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},
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{
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"cell_type": "code",
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"metadata": {
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"ExecuteTime": {
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"end_time": "2025-02-18T16:16:34.054857Z",
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"start_time": "2025-02-18T16:16:33.430974Z"
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}
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},
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"source": [
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"import numpy as np\n",
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"import matplotlib.pyplot as plt"
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],
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"outputs": [],
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"execution_count": 2
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"### Exercice 2.16"
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]
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"Consider the matrix $A$ defined as: \n",
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"$$\\begin{pmatrix}4&6&-2&3\\\\2&-1&0&1\\\\-7&0&1&12\\end{pmatrix}.$$\n",
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"\n",
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"1. Define $A$ as a `numpy.array`."
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]
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},
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{
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"metadata": {
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"ExecuteTime": {
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"end_time": "2025-02-18T16:16:34.991206Z",
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"start_time": "2025-02-18T16:16:34.987118Z"
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}
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},
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"cell_type": "code",
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"source": [
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"A = np.array([[4, 6, -2, 3], [2, -1, 0, 1], [-7, 0, 1, 12]])\n",
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"print(A)"
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],
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"[[ 4 6 -2 3]\n",
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" [ 2 -1 0 1]\n",
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" [-7 0 1 12]]\n"
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]
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}
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],
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"execution_count": 3
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"2. Print the first line and the second column of $A$."
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]
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},
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{
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"metadata": {
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"ExecuteTime": {
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"end_time": "2025-02-18T16:16:35.419774Z",
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"start_time": "2025-02-18T16:16:35.416576Z"
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}
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},
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"cell_type": "code",
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"source": [
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"print(A[0,])\n",
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"print(A[:, 1])"
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],
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"[ 4 6 -2 3]\n",
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"[ 6 -1 0]\n"
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]
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}
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],
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"execution_count": 4
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"3. Create a new matrix `Ac` as a copy of $A$. Modify it by multiplying the first two\n",
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" lines by 2 and (then) divide its last column by 3."
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]
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},
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{
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"metadata": {
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"ExecuteTime": {
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"end_time": "2025-02-18T16:16:35.744187Z",
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"start_time": "2025-02-18T16:16:35.737424Z"
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}
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},
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"cell_type": "code",
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"source": [
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"Ac = A.copy().astype(float)\n",
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"Ac[0,] = 2 * Ac[0,]\n",
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"Ac[1,] = 2 * Ac[1,]\n",
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"Ac[:, 3] = Ac[:, 3] / 3\n",
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"print(Ac)"
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],
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"[[ 8. 12. -4. 2. ]\n",
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" [ 4. -2. 0. 0.66666667]\n",
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" [-7. 0. 1. 4. ]]\n"
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]
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}
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],
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"execution_count": 5
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"4. Define the new matrix $B$\n",
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" $$\\begin{pmatrix}4&5&6\\\\5&10&15\\\\1&1&1\\end{pmatrix}.$$"
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]
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},
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{
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"metadata": {
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"ExecuteTime": {
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"end_time": "2025-02-18T16:16:36.073319Z",
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"start_time": "2025-02-18T16:16:36.070480Z"
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}
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},
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"cell_type": "code",
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"source": [
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"B = np.array([[4, 5, 6], [5, 10, 15], [1, 1, 1]])\n",
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"print(B)"
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],
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"[[ 4 5 6]\n",
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" [ 5 10 15]\n",
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" [ 1 1 1]]\n"
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]
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}
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],
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"execution_count": 6
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"5. Go back to the initial matrix $A$. Create a matrix $C\\in M_{33}(\\mathbb{R})$\n",
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" as a sub-matrix of $A$ defined by $1\\leq i,j\\leq 3, c_{ij}=a_{ij}$."
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]
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},
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{
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"metadata": {
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"ExecuteTime": {
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"end_time": "2025-02-18T16:16:36.494442Z",
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"start_time": "2025-02-18T16:16:36.491672Z"
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}
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},
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"cell_type": "code",
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"source": [
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"C = A.copy()[:3, :3]\n",
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"print(C)"
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],
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"[[ 4 6 -2]\n",
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" [ 2 -1 0]\n",
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" [-7 0 1]]\n"
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]
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}
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],
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"execution_count": 7
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"6. Matrix product:\n",
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" - Create $D = BA$ (using `numpy.dot`).\n",
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" - Create $E = B\\cdot C$ where $\\cdot$ denotes the Hadamard product of\n",
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" matrices : $$\\forall 1\\leq i,j\\leq 3,\\quad e_{ij}=c_{ij}b_{ij}.$$"
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]
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},
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{
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"metadata": {
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"ExecuteTime": {
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"end_time": "2025-02-18T16:16:37.059366Z",
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"start_time": "2025-02-18T16:16:37.055617Z"
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}
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},
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"cell_type": "code",
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"source": [
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"D = B.dot(A)\n",
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"print(D)\n",
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"\n",
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"E = B * C\n",
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"print(E)"
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],
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"[[-16 19 -2 89]\n",
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" [-65 20 5 205]\n",
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" [ -1 5 -1 16]]\n",
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"[[ 16 30 -12]\n",
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" [ 10 -10 0]\n",
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" [ -7 0 1]]\n"
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]
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}
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],
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"execution_count": 8
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"7. Compute the sum of all elements of $E$, and create the vector\n",
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" $Y\\in\\mathbb{R}^3$ whose coordinates are given, for $1\\leq i \\leq 3$, by\n",
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" $y_i=\\sum_{j=1}^{4}d_{ij}$."
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]
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},
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{
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"metadata": {
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"ExecuteTime": {
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"end_time": "2025-02-18T16:16:37.430599Z",
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"start_time": "2025-02-18T16:16:37.427671Z"
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}
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},
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"cell_type": "code",
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"source": [
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"print(np.sum(E))\n",
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"Y = np.sum(D, axis=1)\n",
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"print(Y)"
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],
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"28\n",
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"[ 90 165 19]\n"
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]
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}
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],
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"execution_count": 9
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},
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{
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"cell_type": "markdown",
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"metadata": {},
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"source": [
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"## Plotting curves\n",
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"\n",
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"The basic command for plotting curves is `plot(x,y)`. In this expression, `x`\n",
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"et `y` are (`numpy.array`) with the same size which can be either declared or generated.\n",
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"You should use `numpy.linspace(a,b,N)` to represent as a list the interval $(a, b)$ with $N$\n",
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"(uniform) discretisation points.\n",
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"\n",
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"The functions `title`, `axis`, `legend`, `x/ylabel` are useful for the presentation\n",
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"of the graphs. The typical code will write as follows:\n",
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"\n",
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"```{python}\n",
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"def f(x) : \n",
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" return .... # The function\n",
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"\n",
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"xx = linspace (a ,b , N) #\n",
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"plot( xx , f(xx) , 'color') # 'color' is optional but allows to choose the color of the curve\n",
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"axis('equal') # the two axis are at the same scale\n",
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"title(\"Graph\")\n",
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"legend (\"f\")\n",
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"xlabel(\"\\$ x\\$-axis\")\n",
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"ylabel(\"\\$y\\$-axis\")\n",
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"```\n",
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"\n",
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"### Exercice 2.17\n",
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"\n",
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"1. Plot the graph of $f:x\\mapsto x^2 \\cos(10x)$ on $(-\\pi;\\pi)$ in green."
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]
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},
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{
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"metadata": {
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"ExecuteTime": {
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"end_time": "2025-02-18T16:16:37.862027Z",
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"start_time": "2025-02-18T16:16:37.763126Z"
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}
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},
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"cell_type": "code",
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"source": [
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"def f(x):\n",
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" return x ** 2 * np.cos(10 * x)\n",
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"\n",
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"\n",
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"xx = np.linspace(-np.pi, np.pi, 1000)\n",
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"\n",
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"plt.plot(xx, f(xx), color='green')\n",
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"plt.axis('equal')"
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],
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"outputs": [
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{
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"data": {
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"text/plain": [
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"(-3.4557519189487724,\n",
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" 3.4557519189487724,\n",
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" -8.908050823210235,\n",
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" 10.76377845938934)"
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]
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},
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"execution_count": 10,
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"metadata": {},
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"output_type": "execute_result"
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},
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{
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"data": {
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"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
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],
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"image/png": 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"
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"execution_count": 10
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"2. Plot, on the same graph, the functions $f_n : x\\mapsto x^2 \\cos(nx)$ pour $x\\in\n",
|
||
"(−\\pi, \\pi)$ for $n = 0, 1, \\dots , 10$. Observe that if we create a graph using\n",
|
||
"`plt.plot(xx,f(xx),...)`, we can call back the function `plt.plot(xx,g(xx),....)`\n",
|
||
"to draw another graph on the same figure."
|
||
]
|
||
},
|
||
{
|
||
"metadata": {
|
||
"ExecuteTime": {
|
||
"end_time": "2025-02-18T16:16:38.611125Z",
|
||
"start_time": "2025-02-18T16:16:38.445164Z"
|
||
}
|
||
},
|
||
"cell_type": "code",
|
||
"source": [
|
||
"def g(x, n):\n",
|
||
" return x ** 2 * np.cos(x * n)\n",
|
||
"\n",
|
||
"\n",
|
||
"xx = np.linspace(-np.pi, np.pi, 1000)\n",
|
||
"nn = np.arange(0, 11, 1)\n",
|
||
"for N in nn:\n",
|
||
" plt.plot(xx, g(xx, N), label=f\"n = {N}\")\n",
|
||
"plt.plot(xx, f(xx), color='black')\n",
|
||
"plt.legend()\n",
|
||
"plt.show()"
|
||
],
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
],
|
||
"image/png": 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"
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"execution_count": 11
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"Finally, the `numpy.contour` function is extremely useful to plot level-sets of functions\n",
|
||
"of several variables. To do so, we consider a function $f$ of two variables and we\n",
|
||
"generate an array containing all the values of $f$ as follows: once $f$ and the two\n",
|
||
"domains of definition are give, we can write:\n",
|
||
"\n",
|
||
"```{python}\n",
|
||
"z =[[f(x,y) for x in ...] for y in ..]\n",
|
||
"```\n",
|
||
"\n",
|
||
"The function fonction `plt.contour(x domain,y domain,Z,N)` plots `N` level sets.\n",
|
||
"The `plt.colorbar()` command allows for a tuning of the colour scheme.\n",
|
||
"\n",
|
||
"\n",
|
||
"### Exercise 2.18\n",
|
||
"\n",
|
||
"Plot 20 level sets of\n",
|
||
"$$f : (x, y) \\mapsto e^{−x^2} \\sin(\\pi x − y)$$\n",
|
||
"for $(x, y) \\in (−4, 4)^2$. Toy around with the options `cmap='inferno'`,\n",
|
||
"`cmap='plasma'`...\n"
|
||
]
|
||
},
|
||
{
|
||
"metadata": {
|
||
"ExecuteTime": {
|
||
"end_time": "2025-02-18T16:16:39.454689Z",
|
||
"start_time": "2025-02-18T16:16:39.302487Z"
|
||
}
|
||
},
|
||
"cell_type": "code",
|
||
"source": [
|
||
"def f(x, y):\n",
|
||
" return np.exp(-x ** 2) * np.sin(np.pi * x - y)\n",
|
||
"\n",
|
||
"\n",
|
||
"bound = np.linspace(-4, 4, 100)\n",
|
||
"Z = [[f(x, y) for x in bound] for y in bound]\n",
|
||
"\n",
|
||
"plt.contour(bound, bound, Z, 20, cmap='inferno')\n",
|
||
"plt.colorbar()\n",
|
||
"plt.show()"
|
||
],
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 2 Axes>"
|
||
],
|
||
"image/png": 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"
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"execution_count": 12
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Basics of gradient descent"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"### Exercise 2.19"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"1. We first consider the minimisation problem\n",
|
||
" $$\\inf_{x\\in\\mathbb{R}^d}\\frac12\\left\\langle Ax, x\\right\\rangle − \\left\\langle b, x\\right\\rangle.$$\n",
|
||
" \n",
|
||
" We work in dimension 2. Write a python function $f$ that takes as arguments $A$, $b$\n",
|
||
" and $x$ and returns $\\frac12\\left\\langle Ax, x\\right\\rangle − \\left\\langle b, x\\right\\rangle.$"
|
||
]
|
||
},
|
||
{
|
||
"metadata": {
|
||
"ExecuteTime": {
|
||
"end_time": "2025-02-18T16:16:42.719040Z",
|
||
"start_time": "2025-02-18T16:16:42.715677Z"
|
||
}
|
||
},
|
||
"cell_type": "code",
|
||
"source": [
|
||
"def f(A, b, x):\n",
|
||
" return 1 / 2 * np.dot(A, x).dot(x) - b.dot(x)"
|
||
],
|
||
"outputs": [],
|
||
"execution_count": 13
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"2. Choose any symmetric, positive definite matrix $A$ and generate a random vector $b$. Solve the equation\n",
|
||
" $$Ax = b$$\n",
|
||
" using the gradient descent method (you are of course allowed to use, here,\n",
|
||
" the explicit expression for the gradient). Can you illustrate the order of\n",
|
||
" convergence of your method?"
|
||
]
|
||
},
|
||
{
|
||
"metadata": {
|
||
"ExecuteTime": {
|
||
"end_time": "2025-02-18T16:17:09.781325Z",
|
||
"start_time": "2025-02-18T16:17:09.636938Z"
|
||
}
|
||
},
|
||
"cell_type": "code",
|
||
"source": [
|
||
"d = 2\n",
|
||
"M = np.random.rand(d, d)\n",
|
||
"A = M.dot(M.T) + np.eye(d)\n",
|
||
"b = np.random.rand(d)\n",
|
||
"\n",
|
||
"x0 = np.random.randint(-5, 5, d).astype(float)\n",
|
||
"tau = 0.01\n",
|
||
"n_iter = 1000\n",
|
||
"\n",
|
||
"\n",
|
||
"def GD(x0, tau, n_iter):\n",
|
||
" xk = []\n",
|
||
" k_list = np.arange(n_iter)\n",
|
||
" for _ in k_list:\n",
|
||
" x0 -= tau * (A.dot(x0) - b)\n",
|
||
" xk.append(x0.copy())\n",
|
||
" return np.array(xk), k_list, xk[-1]\n",
|
||
"\n",
|
||
"\n",
|
||
"xk, k_list, x_star = GD(x0, tau, n_iter)\n",
|
||
"plt.plot([f(A, b, x) for x in xk], 'red')\n",
|
||
"plt.scatter(n_iter, f(A, b, np.linalg.solve(A, b)), c='blue')\n",
|
||
"plt.xlabel('Iteration')\n",
|
||
"plt.ylabel('Function value')\n",
|
||
"plt.title('Convergence of Gradient Descent')\n",
|
||
"plt.show()\n",
|
||
"\n",
|
||
"plt.plot(np.log(np.linalg.norm(xk - x_star, axis=1)), 'blue')\n",
|
||
"plt.show()"
|
||
],
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
],
|
||
"image/png": 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"
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
},
|
||
{
|
||
"name": "stderr",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"/var/folders/tp/_ld5_pzs6nx6mv1pbjhq1l740000gn/T/ipykernel_32447/1819267217.py:28: RuntimeWarning: divide by zero encountered in log\n",
|
||
" plt.plot(np.log(np.linalg.norm(xk - x_star, axis=1)), 'blue')\n"
|
||
]
|
||
},
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
],
|
||
"image/png": 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"
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"execution_count": 16
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"3. Plot the level sets of the function $f$, and represent the successive iterates\n",
|
||
" on the graph."
|
||
]
|
||
},
|
||
{
|
||
"metadata": {
|
||
"ExecuteTime": {
|
||
"end_time": "2025-02-18T16:17:12.752200Z",
|
||
"start_time": "2025-02-18T16:17:12.592610Z"
|
||
}
|
||
},
|
||
"cell_type": "code",
|
||
"source": [
|
||
"lim_inf, lim_sup = -5, 5\n",
|
||
"X = Y = np.linspace(lim_inf, lim_sup, 100)\n",
|
||
"xx, yy = np.meshgrid(X, Y)\n",
|
||
"Z = np.array(\n",
|
||
" [[f(A, b, np.array([x, y])) for x in X] for y in Y])\n",
|
||
"\n",
|
||
"plt.contour(xx, yy, Z, levels=10, cmap='inferno')\n",
|
||
"plt.colorbar()\n",
|
||
"plt.plot(xk[:, 0], xk[:, 1], 'red')\n",
|
||
"plt.scatter(x_star[0], x_star[1], c='blue')\n",
|
||
"plt.xlabel('x1')\n",
|
||
"plt.ylabel('x2')\n",
|
||
"plt.title('Level Sets and Gradient Descent Path')\n",
|
||
"plt.show()"
|
||
],
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 2 Axes>"
|
||
],
|
||
"image/png": 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"
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"execution_count": 17
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"## Exercice 2.20\n",
|
||
"\n",
|
||
"We now consider a function $f$ of $d$ variables.\n",
|
||
"\n",
|
||
"1. We aim at approximation, numerically, the gradient of a function $f$. In order to do\n",
|
||
" so, we resort to a centred difference methods. In other words, we write:\n",
|
||
"\n",
|
||
" $$\\dfrac{\\partial f}{\\partial e_i}\\simeq \\frac{f(x+\\delta e_i)-f(x-\\delta\n",
|
||
" e_i)}{2\\delta}$$\n",
|
||
" for $\\delta>0$ small enought where $\\{e_i\\}_{i=1,\\dots,d}$ is the canonical\n",
|
||
" basis of $\\mathbb{R}^d$. First define the vectors $e_i$ in Python. Second,\n",
|
||
" write a function `gradient(F,x,d,delta=1e-05)` that returns the discrete\n",
|
||
" gradient of the Python function `F`. You can test your code on the following\n",
|
||
" toy function:"
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"metadata": {
|
||
"ExecuteTime": {
|
||
"end_time": "2025-02-04T18:12:28.620072Z",
|
||
"start_time": "2025-02-04T18:12:28.615982Z"
|
||
}
|
||
},
|
||
"source": [
|
||
"import numpy as np\n",
|
||
"\n",
|
||
"\n",
|
||
"def F(x):\n",
|
||
" return x[0] ** 2 + x[1] ** 2\n",
|
||
"\n",
|
||
"\n",
|
||
"def e(i, d):\n",
|
||
" return np.array([1 if j == i else 0 for j in range(d)])\n",
|
||
"\n",
|
||
"\n",
|
||
"def gradient(F, x, d, delta=1e-05):\n",
|
||
" return np.array([(F(x + delta * e(i, d)) - F(x - delta * e(i, d))) / (2 * delta) for i in range(d)])\n",
|
||
"\n",
|
||
"\n",
|
||
"print(gradient(F, np.array([1, 1]), 2))"
|
||
],
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"[2. 2.]\n"
|
||
]
|
||
}
|
||
],
|
||
"execution_count": 240
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"2. Write a code that takes, as arguments, $x_0$ and a step size $\\tau$ and returns the\n",
|
||
" sequence generated by the gradient descent initialised at $x_0$ with fixed step\n",
|
||
" size $\\tau$. Test your code on `F`."
|
||
]
|
||
},
|
||
{
|
||
"metadata": {
|
||
"ExecuteTime": {
|
||
"end_time": "2025-02-04T17:55:42.711021Z",
|
||
"start_time": "2025-02-04T17:55:42.705568Z"
|
||
}
|
||
},
|
||
"cell_type": "code",
|
||
"source": [
|
||
"def gradient_algo(x0, tau, n_iter, F, d):\n",
|
||
" x = x0\n",
|
||
" history = [x]\n",
|
||
" for _ in range(n_iter):\n",
|
||
" x = x - tau * gradient(F, x, d)\n",
|
||
" history.append(x)\n",
|
||
" return history\n",
|
||
"\n",
|
||
"\n",
|
||
"print(gradient_algo(np.array([1, 1]), 0.1, 100, F, 2))"
|
||
],
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"[array([1, 1]), array([0.8, 0.8]), array([0.64, 0.64]), array([0.512, 0.512]), array([0.4096, 0.4096]), array([0.32768, 0.32768]), array([0.262144, 0.262144]), array([0.2097152, 0.2097152]), array([0.16777216, 0.16777216]), array([0.13421773, 0.13421773]), array([0.10737418, 0.10737418]), array([0.08589935, 0.08589935]), array([0.06871948, 0.06871948]), array([0.05497558, 0.05497558]), array([0.04398047, 0.04398047]), array([0.03518437, 0.03518437]), array([0.0281475, 0.0281475]), array([0.022518, 0.022518]), array([0.0180144, 0.0180144]), array([0.01441152, 0.01441152]), array([0.01152922, 0.01152922]), array([0.00922337, 0.00922337]), array([0.0073787, 0.0073787]), array([0.00590296, 0.00590296]), array([0.00472237, 0.00472237]), array([0.00377789, 0.00377789]), array([0.00302231, 0.00302231]), array([0.00241785, 0.00241785]), array([0.00193428, 0.00193428]), array([0.00154743, 0.00154743]), array([0.00123794, 0.00123794]), array([0.00099035, 0.00099035]), array([0.00079228, 0.00079228]), array([0.00063383, 0.00063383]), array([0.00050706, 0.00050706]), array([0.00040565, 0.00040565]), array([0.00032452, 0.00032452]), array([0.00025961, 0.00025961]), array([0.00020769, 0.00020769]), array([0.00016615, 0.00016615]), array([0.00013292, 0.00013292]), array([0.00010634, 0.00010634]), array([8.50705917e-05, 8.50705917e-05]), array([6.80564734e-05, 6.80564734e-05]), array([5.44451787e-05, 5.44451787e-05]), array([4.3556143e-05, 4.3556143e-05]), array([3.48449144e-05, 3.48449144e-05]), array([2.78759315e-05, 2.78759315e-05]), array([2.23007452e-05, 2.23007452e-05]), array([1.78405962e-05, 1.78405962e-05]), array([1.42724769e-05, 1.42724769e-05]), array([1.14179815e-05, 1.14179815e-05]), array([9.13438523e-06, 9.13438523e-06]), array([7.30750819e-06, 7.30750819e-06]), array([5.84600655e-06, 5.84600655e-06]), array([4.67680524e-06, 4.67680524e-06]), array([3.74144419e-06, 3.74144419e-06]), array([2.99315535e-06, 2.99315535e-06]), array([2.39452428e-06, 2.39452428e-06]), array([1.91561943e-06, 1.91561943e-06]), array([1.53249554e-06, 1.53249554e-06]), array([1.22599643e-06, 1.22599643e-06]), array([9.80797146e-07, 9.80797146e-07]), array([7.84637717e-07, 7.84637717e-07]), array([6.27710174e-07, 6.27710174e-07]), array([5.02168139e-07, 5.02168139e-07]), array([4.01734511e-07, 4.01734511e-07]), array([3.21387609e-07, 3.21387609e-07]), array([2.57110087e-07, 2.57110087e-07]), array([2.0568807e-07, 2.0568807e-07]), array([1.64550456e-07, 1.64550456e-07]), array([1.31640365e-07, 1.31640365e-07]), array([1.05312292e-07, 1.05312292e-07]), array([8.42498333e-08, 8.42498333e-08]), array([6.73998667e-08, 6.73998667e-08]), array([5.39198933e-08, 5.39198933e-08]), array([4.31359147e-08, 4.31359147e-08]), array([3.45087317e-08, 3.45087317e-08]), array([2.76069854e-08, 2.76069854e-08]), array([2.20855883e-08, 2.20855883e-08]), array([1.76684706e-08, 1.76684706e-08]), array([1.41347765e-08, 1.41347765e-08]), array([1.13078212e-08, 1.13078212e-08]), array([9.04625697e-09, 9.04625697e-09]), array([7.23700558e-09, 7.23700558e-09]), array([5.78960446e-09, 5.78960446e-09]), array([4.63168357e-09, 4.63168357e-09]), array([3.70534686e-09, 3.70534686e-09]), array([2.96427748e-09, 2.96427748e-09]), array([2.37142199e-09, 2.37142199e-09]), array([1.89713759e-09, 1.89713759e-09]), array([1.51771007e-09, 1.51771007e-09]), array([1.21416806e-09, 1.21416806e-09]), array([9.71334446e-10, 9.71334446e-10]), array([7.77067557e-10, 7.77067557e-10]), array([6.21654046e-10, 6.21654046e-10]), array([4.97323236e-10, 4.97323236e-10]), array([3.97858589e-10, 3.97858589e-10]), array([3.18286871e-10, 3.18286871e-10]), array([2.54629497e-10, 2.54629497e-10]), array([2.03703598e-10, 2.03703598e-10])]\n"
|
||
]
|
||
}
|
||
],
|
||
"execution_count": 224
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"We now apply this to the least square problem to test our algorithm: fix\n",
|
||
"$\\alpha_0 =3$, $\\alpha_1 = 2$, an integer $N$ and generate a random vector of\n",
|
||
"size $N$ by calling `Xi=numpy.random.rand(N)*2-1` (this generates numbers between $-1$\n",
|
||
"and $1$). Generate a “noise” vector `Wi=numpy.random.rand(N)*2-1`. Finally, set\n",
|
||
"`Yi=alpha0+alpha1*Xi+Wi` (the set of noisy observations we have access to). We\n",
|
||
"want to see whether we can recover the values of $\\alpha_0$ and $\\alpha_1$ from\n",
|
||
"the knowledge of `(Xi, Yi)`. To do so, we define, for an array $A = (a_0 ,\n",
|
||
"a_1 )$,\n",
|
||
"\n",
|
||
"$$E(A)=\\frac{1}{N}\\sum_{k=1}^{N}|y_i-(a_0+a_1 x_i)|^2$$."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"3. Write the function $A \\mapsto E(A)$ in python, $A$ being coded as an `numpy`\n",
|
||
" array. The vectors `Xi` and `Yi` are `numpy` array defined globally."
|
||
]
|
||
},
|
||
{
|
||
"metadata": {
|
||
"ExecuteTime": {
|
||
"end_time": "2025-02-04T17:55:48.068018Z",
|
||
"start_time": "2025-02-04T17:55:48.065662Z"
|
||
}
|
||
},
|
||
"cell_type": "code",
|
||
"source": [
|
||
"alpha0 = 3\n",
|
||
"alpha1 = 2\n",
|
||
"N = 100\n",
|
||
"Xi = np.random.rand(N) * 2 - 1\n",
|
||
"Wi = np.random.rand(N) * 2 - 1\n",
|
||
"Yi = alpha0 + alpha1 * Xi + Wi\n",
|
||
"\n",
|
||
"\n",
|
||
"def E(A):\n",
|
||
" return np.mean(np.abs(Yi - (A[0] + A[1] * Xi)) ** 2)"
|
||
],
|
||
"outputs": [],
|
||
"execution_count": 225
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"4. Plot 20 level lines of $E$. Is what you observe coherent with we might expect?"
|
||
]
|
||
},
|
||
{
|
||
"metadata": {
|
||
"ExecuteTime": {
|
||
"end_time": "2025-02-04T17:55:53.451076Z",
|
||
"start_time": "2025-02-04T17:55:53.293559Z"
|
||
}
|
||
},
|
||
"cell_type": "code",
|
||
"source": [
|
||
"import matplotlib.pyplot as plt\n",
|
||
"\n",
|
||
"bound = np.linspace(-10, 10, 100)\n",
|
||
"Z = [[E(np.array([x, y])) for x in bound] for y in bound]\n",
|
||
"\n",
|
||
"plt.contour(bound, bound, Z, 20, cmap='inferno')\n",
|
||
"plt.scatter(x_star[0], x_star[1], c='blue')\n",
|
||
"plt.colorbar()\n",
|
||
"plt.show()"
|
||
],
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 2 Axes>"
|
||
],
|
||
"image/png": 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"
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"execution_count": 226
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"5. Minimise $E$ with a constant step-size gradient descent using the discretised\n",
|
||
" gradient you computed earlier. Run your code with several values of $\\tau$\n",
|
||
" and find the best value for $\\tau$."
|
||
]
|
||
},
|
||
{
|
||
"metadata": {
|
||
"ExecuteTime": {
|
||
"end_time": "2025-02-04T17:57:18.424095Z",
|
||
"start_time": "2025-02-04T17:57:18.364818Z"
|
||
}
|
||
},
|
||
"cell_type": "code",
|
||
"source": [
|
||
"tau_list = np.linspace(0.01, 1, 20)\n",
|
||
"\n",
|
||
"\n",
|
||
"def gradient_algo(x0, tau, n_iter, F, d):\n",
|
||
" x = x0\n",
|
||
" history = [x]\n",
|
||
" for _ in range(n_iter):\n",
|
||
" x = x - tau * gradient(F, x, d)\n",
|
||
" history.append(x)\n",
|
||
" return history\n",
|
||
"\n",
|
||
"\n",
|
||
"list_tau_y = []\n",
|
||
"for tau in tau_list:\n",
|
||
" history = gradient_algo(np.array([2, 3]), tau, 100, E, 2)\n",
|
||
" x, y = history[-1]\n",
|
||
" list_tau_y.append((tau, y))\n",
|
||
" print(f\"tau = {tau}, x = {x}, y = {y}\")\n",
|
||
"\n",
|
||
"best_tau = max(list_tau_y, key=lambda x: x[1])\n",
|
||
"print(best_tau)"
|
||
],
|
||
"outputs": [
|
||
{
|
||
"name": "stdout",
|
||
"output_type": "stream",
|
||
"text": [
|
||
"tau = 0.01, x = 2.9267989063524977, y = 2.479397426488201\n",
|
||
"tau = 0.06210526315789474, x = 3.0423146382848048, y = 1.916948653422947\n",
|
||
"tau = 0.11421052631578947, x = 3.0410604575195848, y = 1.8931782083689095\n",
|
||
"tau = 0.16631578947368422, x = 3.041011907165113, y = 1.8922593962938912\n",
|
||
"tau = 0.21842105263157896, x = 3.0410102257986824, y = 1.8922275765785324\n",
|
||
"tau = 0.2705263157894737, x = 3.041010174027455, y = 1.8922265968174143\n",
|
||
"tau = 0.32263157894736844, x = 3.0410101726257173, y = 1.8922265702226346\n",
|
||
"tau = 0.37473684210526315, x = 3.0410101725880336, y = 1.8922265695921598\n",
|
||
"tau = 0.4268421052631579, x = 3.0410101725894942, y = 1.8922265695855385\n",
|
||
"tau = 0.4789473684210527, x = 3.041010172589047, y = 1.8922265695800402\n",
|
||
"tau = 0.5310526315789474, x = 3.0410101725871, y = 1.8922265695806482\n",
|
||
"tau = 0.5831578947368421, x = 3.041010172590711, y = 1.8922265695834652\n",
|
||
"tau = 0.6352631578947369, x = 3.0410101725873564, y = 1.8922265695777054\n",
|
||
"tau = 0.6873684210526316, x = 3.041010172587915, y = 1.8922265695785696\n",
|
||
"tau = 0.7394736842105263, x = 3.0410101725881757, y = 1.8922265695866305\n",
|
||
"tau = 0.791578947368421, x = 3.0410101725829963, y = 1.8922265695799831\n",
|
||
"tau = 0.8436842105263158, x = 3.041010172588228, y = 1.892226569583048\n",
|
||
"tau = 0.8957894736842106, x = 3.041010172468627, y = 1.8922265695876346\n",
|
||
"tau = 0.9478947368421053, x = 3.040982577460321, y = 1.8922280277145846\n",
|
||
"tau = 1.0, x = 1.417896283504526, y = 1.9779924939981015\n",
|
||
"(np.float64(0.01), np.float64(2.479397426488201))\n"
|
||
]
|
||
}
|
||
],
|
||
"execution_count": 232
|
||
},
|
||
{
|
||
"cell_type": "markdown",
|
||
"metadata": {},
|
||
"source": [
|
||
"6. Check that we find a good approximation for $(\\alpha_0,\\alpha_1)$. Show datas\n",
|
||
" `(Xi,Yi)` and the line $y=a_0+a_1x$ that you obtain, for $x\\in[-1,1]$."
|
||
]
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"metadata": {
|
||
"ExecuteTime": {
|
||
"end_time": "2025-02-04T17:57:15.047877Z",
|
||
"start_time": "2025-02-04T17:57:14.971370Z"
|
||
}
|
||
},
|
||
"source": [
|
||
"best_A = gradient_algo(np.array([2, 3]), best_tau[0], 100, E, 2)[-1]\n",
|
||
"\n",
|
||
"plt.scatter(Xi, Yi, label='Data')\n",
|
||
"plt.plot(Xi, best_A[0] + best_A[1] * Xi, color='red', label='Fitted line')\n",
|
||
"plt.xlabel('Xi')\n",
|
||
"plt.ylabel('Yi')\n",
|
||
"plt.legend()\n",
|
||
"plt.show()"
|
||
],
|
||
"outputs": [
|
||
{
|
||
"data": {
|
||
"text/plain": [
|
||
"<Figure size 640x480 with 1 Axes>"
|
||
],
|
||
"image/png": 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zDtatW+f/uYVaARsiIqJEpzJJ5J+f7MGNK76EAgQEGNHOMtJTbdeo4SwtbI8MWrRooTlZsr6+HvX19f6fq6urzWoWERGRHC67DFi9Oni7EBgNYFF6a8NmGdlWbTcC24OVPXv2ICcnB2lpacjPz8fcuXPRpUsX1X3nzp2LOXPmWNxCIiIim6iV3PjgA+Dii/0/GjnLyIpqu9FQhI3lQNeuXYva2lr07t0bFRUVmDNnDg4dOoSSkhJkZGQE7a/Ws5Kbm6t5iWkiIiJHeOUVYMqU4O0m37K9DQIXzF8fsdruxpmXxDSNubq6Gm63W/P929Zgpbnjx4+ja9eueOKJJ3D99ddH3F/vyRIREdlBV80Std6UX/8aWLHC3Eb+yDcbCFDPgzFiNpDe+7ftw0BNZWZmolevXti7d6/dTSEiIjKE5pol33wDdO4cfACL+xTMqLYbK6mCldraWpSVleGaa66xuylERGQDmaqmGkFzzZJQy8HYNPhhdLXdWNkarNx9990YP348unbtim+++QazZ89GcnIyJk2aZGeziIjIBrJVTY1VpJolCoA5b+9CQf+c4B3q64GUFJNbGJ6R1XZjZWuwcvDgQUyaNAlVVVXo2LEjLrjgAmzatAkdO3a0s1lERGQxGaumxipSzZJytRWSAdt6U2Rma7CyfPlyO1+eiIgkoKkHYnUpRvfNctSQULhaJGqrJGPrVmDIEBNb5FxS5awQEVHikbVqaqzUapEs+MeT+K+S94N3Zm9KWAxWiIjIVrJWTW2e7Puzrm2x9evvNCecDs1rh2x3mr9miVpvyts/H4Oxn/wDXGo3PAYrRERkKxmrpqol+yYpQNP1+yIl/yYnKZg9vi9envtXvP7afUGP581cg0VXD3HU0JZdGKwQEZGtmvdANOermqpn9eBYhEr2bb7QsJbk34L+OShQ2Z7/6DoscugsJzswWCEiIlv5eiCmL9tm2OrB0QqX7Ntc2OTfH34AUlODnrNq6350cqdjo8aaJfFWdyZaDFaIiMh2slRNjZTs25xq8m+YAm8TdLQl3urOxILBChERSUGGqqnRJvH6n6cWqJSUAOeco+t48Vh3JhYMVoiISBp2V02NNol3zKVDgG+PBD8QxZRks+vOOHFoicEKERHRjyIl+zanIEQl2ltvBZ55Jqo2mFl3xqlDS0l2N4CIiEgWvmRf4Kfk3lB+U/K+eqAiRNSBCmBe3Rnf0FLzQMg3tFRUUqHreFZisEJERNSEL9k3yx04JNR0pGTf/HF4/B9PBj/ZgEq0ZtSdiTS0BDQOLXmbz8+WBIeBiIiImlFL9v1Z17b47LOvcO7PewY/wcBy+WbUnXH6kgYMVoiIyFBOTOBUE5Tsqyg4V21Hg9f1MaPujKxLGmjFYIWIiAzj1ATOiNSmJFdWAmecYcrLGV13RsYlDfRgsEJERIaIy9ogYQq8mc3IujOyLWmgFxNsiYgoZk5P4FSlFqg8/7wlgYqPbyhqwqDOyO/ePurhtHCznKxe0iAaDFaIiChmehI4pXfrreqBihDA9OnWt8cgoWY5ZbnTpO/14jAQERHFzOkJnH42DvtYQYYlDaLBYIWIiGLm9AROlJQA/fsHb4+TIKUpu5c0iAaDFSIiipmjEzjjvDclHjBnhYgoznkbBIrLqrBqxyEUl1WZkuTqyAROIdQDlRMnGKhIhj0rRERxzMq6J0bXBjEVe1McRRHCuVemuroabrcbHo8HLpfL7uYQEUklVN0T323arBkg0lewVQtUli0DJk+2vi0JSu/9mz0rRERxKFLdEwWNdU9G980yPJCQNoGzZUvg9Ong7c79zp4wmLNCRBSH4qruiREUJThQadGCgYpDMFghIopDcVP3JFavvx66wNupU9a3h6LCYSAiojjk+LonRmASbdxgsEJEFIfsrHtie4LtyZNAq1YqDfMCSRxQcCIGK0REcchX92T6sm1QgICAxcy6J1ZOlVbF3pS4xBCTiChOWb1wnW+qdPPE3krPSUxftg1FJRWGvl4QtUDlX/8KCFSsKJBHxmPPChFRHLNq4To7p0pr7U2xvdeHosaeFSKiOOerezJhUGfkd29vSv6IbVOl1QKVn/1MNVCxtdeHYsJghYiIYmb5VOmbbw49JfnTTwM2Rer1ARp7fRJ1SMgJQ2McBiIiophZOlVaZxKtnl4fKSvvmsgpQ2PsWSEiopj5pkqHGmBS0HgTjGmq9MGDoXtTwsz2YYE8deGGxm5etg1Pr/uPNL0t7FkhIpKA7bVJYmT6VOkYpiSzQF4wLUNjT67b499md28LgxUiIps5pSs+Et9U6ebnkhXruagFKnv2AD16aHq6nQXyZBVpaKw5XyKyWSt1R8JghYjIRr6u+OY3UbtvDtEydKq0QQXe7CqQJzO9Q16mTz+PgDkrREQ2iddZKoZMlVYLVCZNiroSrdUF8mQXzZCXnSt1s2eFiEgDM3JKOEtFRW5uYyJtcxGCFC3Xx6oCeU4QaWgsHDsSkRmsEBFFYFZOCWepNBPlsI+e6+Pr9Ul04YbGIrEjEZnDQEREYZhZ+ZSzVH704YdRTUkGWJk2FqGGxkIxZPp5lNizQkQUgtnr3XCWCmJKorV1PaI40XxobN/ROjy17j8A5EpEZs8KEVEIZq934+uKBxBUTM3um4PphFAPVDwezUm0Wq/Ppq+qomxkYmiaEH37qJ5SJiKzZ4WIKAQrckpMq00iM4OmJGt932e8ug3zftM/Pt9LE8iYiMxghYgoBKtySmS8OZhGLVCZPx+4917dh9L6vh///pQja9bYSbZEZAYrREQhWJlTItvNwXAG9aY0pXf6LfNXnIs5K0REISR0TomRTAhUgMDrE4mdBc0odgxWiIjCSITKp94GgeKyKuNX2F24MOopyVr5rk9mq5aa9k+YmjVxhsNAREQRxHNOiWmLKJrUm6KmoF82MlJbYvKSTyLuG/c1a+IUgxUiIg3iMafElEUUT5wA2rQJ3u71Aknmdeaf1709a9bEMQ4DERElIFMWUVQU9UBFCFMDFYD5RfGOwQoRUQIyvOCd2rDPypWmDPuEYkR+kWn5OxQTDgMRESUgrYmmH+/9NnyejoW5KVrEkl9kWv4OxYzBChFRAtKaaPrcB2X+/w+6cUsWqPhEk19kSv4OGUaaYaB58+ZBURTccccddjeFiCju+Qqq6cng8N24v71wpOlTkq1kSv4OGUqKYGXLli148cUXMWDAALubQkQUd9TyMMIlpIYiAJTPH4eOG9erPOjcG7nZC1ZS7GwfBqqtrcXkyZOxePFi/PGPfwy7b319Perr6/0/V1dXm908IiJHi5SHobaIopou31Xgo/+9IfgBG4MUb4MwpPaNFQtWUmxsD1ZmzJiBsWPHYtSoURGDlblz52LOnDkWtYyIyNm05mE0TUjdc7gWz32wN2D/ffPHqb+AjYGKUcmw3gaBozX1kXcEC8rZydZhoOXLl2Pbtm2YO3eupv1nzZoFj8fj/3fgwAGTW0hE5Ex68jB8CakTBnXG+T06BOyrFqiMvH4RivceNb7RGvmCsOa9Qb4grKikQvNxLpi/Ho/8Y3fY/RQ0BkIsKGcf23pWDhw4gNtvvx3//Oc/kZamLVpNTU1FamqqyS0jIiczamjA6fTkYTSdOeNLvC2+f5Tq8/JmrrG1EmykIEyBttWVQ/U6NceCcnKwLVjZunUrjhw5giFDhvi3eb1efPTRR3juuedQX1+P5ORku5pHRA7EOhk/iTYPIzlJUQ1UtnTui/+++jEA9t64ow3CmgoX8DSXlaC/P7KxLVgZOXIkdu7cGbDt2muvxdlnn42ZM2cyUCGiiJr2ouw7egJPrtsTtE+i1snQml8RsF+IuindZq4BIEfgZ0QybKSAx+eBsX0w7fw89qhIwLZgJSMjA/369QvY1rp1a7Rv3z5oOxFRc2q9KGr0DA3EE99wjuaF/UIEKsV7j+JpiYbUogrCmtEa8HTISLX9fKmRFHVWiIj0CJVgGUoi1snQvLDfmtVhC7z5Em/zu7eX4sYdqZidlmRYIwIespZUwcqGDRvw1FNP2d0MIpKYnnyD5hKtTkbEhf365wATJgQ/UeICb0asrmxEwEPWsr3OChGRHlrzDdQk4jdl1YX9urVFcguVvMDvvgMyMy1vo16hitlpTYb1BTzTl22DAgQEvpz9IycGK0TkKNH0jgTlZySYgIX9JF18UK9YVlf2PT+WgIesxWCFiBxFb+8Ivyk3oRao3HEH8OSTljfFCNGsrtxUrAEPWYfBChE5SqRZLs3xmzLipjfFDLEGPGQNBitE5Cha8g3uGNUL3Tqk85sywECF4oJUs4GIiLSINMvl9lE9pZpua4tbbw07JZnISdizQkSaybTuDvMNwmBvCsUZBitEpImM6+4w36CZ6mrA7Q7efvo0wCVMyME4DEREEYWqGOtbd6eopMKmlpGfoqgHKkIwUCHHY7BCRGGFqxjr2zZndSm8DRxisI3asM/ixRz2objBYSAiCitSxdim6+5wSMZizE2hBMFghYjC0loxNtHW3bEdAxXHkylhXXYMVogoLK5QKw9vg4A3OxspRw4HP8ggxVFkTFiXGXNWiCisSCvUAkCSAnx34gfL2pSIikoqkJycxEAlDjBhXT8GK0QUlq9ibDgNApjxGj9kzbLx7++joH9O0Pa8mWuQN3MN33cHYcJ6dBisEFFEBf2ysfCqwYg0nM4PWRMoCi74r1FBm7vNXKP75uZtECguq8KqHYdQXFbFa2UDPQnr9BPmrBCRJm1bpyLcvY2zgkygkkR72ZQn8Hl2L//PWt935kjIgQnr0WHPChFpwg9ZCymKaqDSbeaagEClqXDvO3Mk5MGE9egwWCGKQ2Z09/ND1iIhpiR3m7km7NNCve/MkZBLpIR1BY09XkPz2lnZLOlxGIgozpjV3e/7kK30nFS98SloXPWYH7JRChGkeL0NuGD+eihRvu8s6icXX8L69GXboAAB19T3GzB7fF/WW2mGPStEccTM7v6ms4Kaf4zyQzZGYQq8xfq+ax2W+3jvt0y8tUhBv2wsunoIstyBvWFZ7jQsunoIc4hUKEI4d4J+dXU13G43PB4PXC6X3c0hspW3QeCC+etDfov2fQPfOPOSmAIKJmoaqLAQuO664O0qH8vRvu/FZVWYtHiTrmbxelojkSvY6r1/M1ghihNab0p/u+G8mLv7E/lD1jBRlMuP5n33BbGhhu9Um/bjf/ktn8yi9/7NnBWiOGHlbJ3kJIX5DdESAkhSGYH/9lugQ4ewT43mfQ+XIxGyiWgMWOasLsXovlkMRMl2zFkhihOcreMAiqIeqAgRMVCJRagciXBYnIxkwp4VojjB2TqSUxv2uewyYNUqS16+oF82RvfN8g8j7Tlci+c+2BvxeaybQzJgzwpRnOBsHUmFKPAGISwLVHx8w0gTBnXG+T209eSwJ45kwGCFKI5wSqRkokiitQqLk5GTcBiIKM407+7nbB0bXHdd47Tk5iQIUnxYnIychFOXiYg00DxtWILeFD1TnFk3h+zAqctERAbTdEP3eIDMzOAnnz4NJCdb01DoDz7YE0dOwJ4VIofxNghs+qoKxWVVAATyz+qA87q3583FJL4lDJp/UAYUTuufo/5kiz9eNbWVvSUkAfasEMWxopIK3LdiJ47XnfJve+6DMmSmt8S8if15IzJYpBWLFUA9UHnhBeCmm0xuXSAtbWWRN3IqBitEDlFUUoGbl21Tfex43SncvGwbXuA3Z0OFW7F43/xx6k+yqbPa6NWVuaQCyYTBCpEDeBsEHnq7NOJ+D729i9+cDRSqIJpsgQpg7HILTLol2bDOCpEDbC4/hsrqyDeZyup6lkc3UPOCaF88PlE1UCnee9T2aclGLbfgy3tp3ktT6TmJ6cu2oaikIuo2EkWLwQqRA+gpec7y6MZpWjht3/xxSDv9Q9A++Y+uk6JwmhFF3iLlvQCNeS/eBsfOyyCHYrBC5AB6Sp47sTy6t0GguKwKq3YcQnFZlTQ3w+QkBQt6NqBcpTclb+Ya5M1cI03hNCOWW9CT90JkJeasEDnA0Lx2yHKlRRwKynKlSvEtXw+p8yMUBeerbO42c408bWzCt9xC8/czS2Nbjcx7ITISgxUiB0hOUvDQZX1Dzgbyeeiyc6T4lq9VqLogvvwIW+uCqFSi/XzFeyjP64u/STw7JpYib0blvRAZjcEKkUMU9MvGC1cPCaqzAgDpKcm46aKzMLpvlk2t00/auiBhyuUPADDAupZEzbe6sl6+vJdKz0nV66KgsZfGab135HzMWSHSSIa8ioJ+2dj6h9F49X+GYUy/LLROaSzjXveDF0+u24ML5q93zGwNKfMjJFjXx05G5L0QmYE9K0QayJRXkZykoObkKRSVVMo5fKKRVPkRCR6kNBVr3guRGRisEEUgW16FtMMnOkmTH8FAJQgXNyTZcBiIKAwZ605IOXwSBSPqgsRk6VL1QEWIhA5UfHx5LxMGdUY+F8okmzFYIQpDxsBAquGTGNiaH6EowLXXBm9nkEIkJQYrRGHIGBhIM3xiAF9+RJY7sK1Z7jRzhtcaGtR7U47aXy6fiEJjzgpRGDIGBvE2vTRcfoShK/8yN4XIsRisEIUhY2DgGz6ZvmwbFCCgXU6dXqpWF0RtBlaWKw2ThnZBtw7p+oIXtUDlssuAVatibToRWUARIvLXimeeeQY33ngj0tLS8Mwzz4Td97bbbjOscZFUV1fD7XbD4/HA5XJZ9rqUWHyzgQD1wMCuacIyTac2WqgZWM1FPF/2phBJSe/9W1OwkpeXh48//hg5OTnIy8sLfTBFwVdffaWvxTFgsEJWkTUwMHSYRJLX9DYIXDB/fdjEZp+wASMDFSJp6b1/axoGKi8vR9u2bbFw4UKUl5fH3Egip5G17kS0ZdWjZUXQFmkGVlOqdWWuuQZYtkxlZwYpVrEjiKb4pjln5U9/+hNuuukmrFy5Ei+++CLatXNG8h6RUawODGRjVXE8vTOrmk4fz+/RIcRODFSsImsvJDmb5qnLv/3tb/H555+jqqoKffv2xerVq81sFxFJxMrieNHMrHKdrFUPVLxeBioW8gW0zXvGfAGtU9atIvnomg2Ul5eH9evX47nnnsPEiRPRp08ftGgReIht28IvYU9EzqOnOF6svU+RZmA1t2/+uBCNYpBipXhZBoLkpLso3Ndff40VK1agbdu2mDBhQtA/PRYtWoQBAwbA5XLB5XIhPz8fa9eu1dskIjKZlcXxwlW2bU41UFm0iIGKDWSs9kzxQ1fPyuLFi3HXXXdh1KhR2LVrFzp27BjTi5955pmYN28eevbsCSEE/vKXv2DChAnYvn07zjnnnJiOTUTGsbo4XqiVf32i6U1h0qe5ZKz2TPFDc7BSUFCAzZs347nnnsOUKVMMefHx48cH/PynP/0JixYtwqZNm1SDlfr6etTX1/t/rq6uNqQdRBSeHcXxms/A2nf0BP62eT82/X60+hPCBCpM+jSfjNWeKX5oDla8Xi8+//xznHnmmaY0xOv14o033sCJEyeQn5+vus/cuXMxZ84cU16fiEKzq2puwAysdu1w+3ffBe8UYcjHqllMiU7Gas8UPzQVhTPTzp07kZ+fj5MnT6JNmzZ47bXX8Ktf/Up1X7WeldzcXBaFI7KIbT0UURZ4i1RgzncD3TjzEg4JGUDWas8kH1Mq2Jrphx9+wP79++HxePDmm2/ipZdewocffoi+fftGfC4r2MY35hiEZ9f7Y+nrfvYZMGhQ8HaNH1vFZVWYtHhTxP3+dsN5CV1Dx0gcciMtTKlga6aUlBT06NEDAPCzn/0MW7ZswdNPP40XX3zR5paRnfiBF56d749lxfEMKJfPpE/ryVrtmZxN99RlszU0NAQM9VDiYWGp0LwNAk+v24Ob4/39UQtUtm7VPSWZSZ/28AW0EwZ1Rn739gxUKGa29qzMmjULY8aMQZcuXVBTU4PXXnsNGzZswLvvvmtns8hGLCwVWlFJBR56excqq9WD+bh4fwxefJBJn0TxwdaelSNHjmDKlCno3bs3Ro4ciS1btuDdd9/F6NEhpiZS3GNhKXW+3qZQgYqPo98ftUAlPT2mAm/hCsyZOYuJiIxla8/KkiVL7Hx5khBzDIKF620KxVHvj8G9Kc2FKjDnbtUS157fDaP7ZhnyOkRkHulyViixMccgWKTeJjWOeX9MDlR8CvplY+PMS3DnqF7IbNUSAHD8+1N4ct0eXDB/fXzk+RDFMQYrJBVfjkGoTnkFjbNeEinHQE8viWPen1deUQ9UhDBtXZ9/llbiqXX/wfHvTwVsj6vEZKI4xWCFpMIcg2B6e0mkf38UBVBbssPEkk+REreBxsRkbwMXQCSSEYMVko4vxyDLHXiTznKn4Y5RvVB/ugHFZVUJc2OJ1Nvkk+1Ok7tCaEODem9KVZXpqyQzcZvI2WwvCkekJtQidk+u+49/n0QpEhduXR6fO0f1xC2X9JS3R8Wi3JRQ7E7cZjVmotgwWCFp+QpLFZVU4Kl1exJ6IbpQM1ocEbCpBSpXX92YtwJrbuR2Jm6zGjNR7GxfGygWXBso/nEhukCO+oauoTfFqhu57/coUnE4o3+PQq34zIX9KNHpvX8zZ4WkxlyDQI4pY64xUDFzWQVvg0BxWRVW7TiEzeXH8MBYaxO3mdRLZBwOA5HU7M41IJ2uuw4oLAze3qwD1+xlFUL12Nx4UR7e/qwiYHuWSUMyegJtrvhMFB6DFZIai8Q5iI4kWjNv5KGGXio9J/G/H5Vj4VWD0bZ1qulDaQy0iYzDYIWkxoXoHOD4caBt2+DtXi+QpD7SbNaNXEuPzSP/2G1JjhMDbSLjMGeFpMYicZJTFPVARYiQgQpg3o1cphwnVmMmMg6DFZJeuCJxnE1hI7Vhn5de0lQ7xawbuUxDLwy0iYzDYSByhOZF4qSfthvPDCjwFq7QXSw3ctmGXkLVx9Ga1OuoqepEJmKdFSKJSXezMrgSrdF1Vuyqp6KlXXqvI4vJUTzTe/9msEIkKaluVj16AGVlwdsN+PiINiAL9TzfbCBAvcfGCUOHLCZH8Y7BClEckOpmFaI3ZdX2g7b19kQK5KQK9HRi1WZKBHrv38xZIZKM2QXTNCspAfr3D9qc/+i6xhvp8h0ArA8CwtVRabpWlFNznDaVVbGYHFEznA1EJBkppt8qimqgkjdzjWnl8bXQU8LeMUsTNFFUUoEZr23TtC+LyVEiYc8KkU5GJb2GOo7t029Vhn28Oz7DBe98C6ESRFnZ2xPPJexD9RiFwmJylEgYrBDpYFQuRLjj2Db9NsxMn81lVajwHAj5VKuCBNsDOZOE6zFqjlWbKRFxGIhII6NWCY50nO9O/GB95VO1QKVrV/9sH1mCBNnqqGjRdPXn4rIq1VWWI/UYNcdicpRo2LNCpIFRSa/a1q4pxQNj+2DGa9sNLZimSmPdFFmCBKetFaW1J05rkJfZqiXm/aa/9DOaiIzGnhUiDYxKetV6nLatU81fYkBHgTdZ1rkxuoS9ll6PaOnpidMa5C2czPoqlJjYs0KkgVHDIHqOM2FQZ3Om365YAfzmN8Hbw5RcMqs8fjRiLWHvY2YtFr09cVp7jM47y1lJw0RGYbBCpIFRwyB6j+ObfmuYGMrlGxUkGCHWOipaa7VES++sJZmCQSIZMVgh0sCoXAnbci6EAJJURn2PHwfcbs2HkanYWrSBnBVF96LpiZMpGCSSDYMVIg20fvMFgOKyqpA3clu+QRu8+KDhvT0Ws6JWS7Q9cTIFg0QyYbBCpFGkb74AgtZ0UcuBsPQbtFqgcuedwBNPGPcaDmPFNOxYetCcHgwSmYHBCpEOob75/rO0UlcORKRv0DFXyTW4NyWeWDENmzkoRMZisEKkU/NvvtHmQKgdp7isCutKK7FyxyEcO3HK/5iuWSoMVMKyKm+IOShExmGwQhQjI3Ig1KbRNqVplsr99wNz56o0gEFKU1b2ejAHhcgYDFbijFGL7JF2seZAaFnALuIsFfam6GJlrwdzUIhix2AljphZ5IpCiyUHQs8Cdr4emif/+R+c36NDYyBaW6M+9djrVZ+qTH7s9SByDkUI5371qq6uhtvthsfjgcvlsrs5tgr17dz3sWtYiXYTOL03yNsgcMH89RFzIDbOvCTovIrLqjBp8aaoXnff/HHqD8TwJ+30a0FEzqD3/s2elThgRZErs8RDb1AsORDRTo9VDVT+/ndg4sSojgfEx7UgovjEfuI4YNQie1bTs9Cb7Hw5EHoXHtQ7PXbf/HGqgYrX2xBzoBIv14KI4g97VuKAFUWujObk3qBQosmBiDSNtqlQwz7dZq7B32KothqP14KI4guDlTjQoXWqpv1iKXJlNCtKnttB78yPcENIPm/99XcYVPGfoO3dZq7x/38sgWi8Xgsiih8cBnK4opIK3PXGZ2H3UdCYe2D44ngxcGJvkFlCDSG1b52CffPHRQxUgNgCUV4LIpIde1YcTEt9DllLe1tR8txJmg8hdfn2AAZfmh+0X/MgxYhqq7JdC85IIqLmGKw4lNb6HGe4UvHQZedIN5vDqpLnTuIfQgpR4C1PJVABYg9EZboWnJFERGo4DORQkfIMfB7/70FSfsj7cjWAn266PrL2BllCLVDZvRtFO7/RPdNIK1muBWckEVEo7FkxiRld2U2PuedwjabnHK2tj+k1zcSF3pqIUC6/ADC12qrd14IzkogoHAYrJjCjKzvSQnehyJ7zwZLnUA9URowANmwI2GT2GjN2XgvOSCKicBisGCxU0qumVXN1HjMcJ+V8JOxCby4XUKPSQ2bjChh2XQvOSCKicJizYqBIXdlAY1e2t0H7zUjPQnc+CZ3z4RSKIl2gYifZZiQRkVwYrBjIjLL3WhNpmzIq8ZJM8M9/qg/7CJGwgQrw04ykUKG1jLWCiMg6HAYykBld2Vr3veUXPdDzjDaJmfPhFBGSaBNZLItBElH8Y8+Kgczoyta67/k9OmDCoM7I796eH+iyEUI9UKmpYaDSRLSLQRJR/GPPioHMKK4lU8EuWTiqwil7U3Th7DAiUsNgxUBmdGWzezyQoyqcqgUqCxYAd91lfVscJGFnhxFRSBwGMpgZXdnsHm/kmAqnihI6iZaBChGRbooQzu2Prq6uhtvthsfjgcvlsrs5AcyuYJto3ePeBoEL5q8POTPKNxy2ceYl9r4nHPYhIopI7/3b1p6VuXPn4txzz0VGRgY6deqEyy+/HF9++aWdTTKMryvbyKRXM47pFGZMCzfUM89EPSXZ2yBQXFaFVTsOobisSlcdHiKiRGBrzsqHH36IGTNm4Nxzz8Xp06dx//3349JLL0VpaSlat25tZ9NIMrJVOG3ayzVh8JnqO2noTXFUDg4RkU1sDVaKiooCfl66dCk6deqErVu34qKLLrKpVSQjmSqc+gIMz7ffofTJ/xe8Q0ND6OGgZscxemkGIqJ4JNVsII/HAwBo1059Gm59fT3q639aRbi6utqSdpH9ZJnC7QswyuePU3985zco0BCocJVhIiLtpJkN1NDQgDvuuAPnn38++vXrp7rP3Llz4Xa7/f9yc3MtbiXZxTeFG0BQSXarpnD7Agy1QGXSlY8ib+YazWs/SZ+DQ0QkEWmClRkzZqCkpATLly8Puc+sWbPg8Xj8/w4cOGBqm5j4KBctU7jNvGbJyUkovn9U0PZuM9eguOsAXQGGbDk4REQyk2IY6JZbbsGaNWvw0Ucf4cwzQyQrAkhNTUVqaqolbdKT+JjIU4qtFq7CqanJqipDO2XtzsTIG14I2q4lwJApB4eISHa2BitCCNx6661YuXIlNmzYgLy8PDub46cn8ZGzOaynVuHUtGTV664DCguDNnebuSbkU7QEGLLk4BAROYGtw0AzZszAsmXL8NprryEjIwOVlZWorKzE999/b1ubIiU+AvDnJTimomqc03PNdFEU1UAlL0SgoqAxUNUSYMiQg0NE5BS2BiuLFi2Cx+PBxRdfjOzsbP+///u//7OtTVoTHzd9VWXODZJ0MzxZdf/+kAXeinZ+A8CYAIPLKBARaWP7MJBstCY0FpdVab5BclE2cxmarBqhXL4vwGg+9JcV5dAfVxkmIopMigRbmWhPaNQWaHE2h/kMS1ZVC1T27weaTZE3OsDgKsNEROExWGlGa+Jj/lkd8NwHZRGPx9kc5os5WTWKxQcZYBARWUeaOiuy0Jr4eF739sh2pwXt03RfrcmWFJuYklXVApVbb5VylWTW/SGiRKUIGRNHNNK7xLQeWqYk+2YDAYGDQr7bH5MkraVrGvmAAcDOncEHkfTPgVPkiSie6L1/M1gJQ0uxt3i4icRTUTtN5xLFsI+dQtWQYVBMRE7FYMUGTr7Zx0OwpdnGjcCFFwZvl/hPwNsgcMH89SFnnvnycTbOvMQxv3NERHrv30ywNYDsyZahginTqr7KyGG9KT56asjI/DtIRBQLBitxLlTPyQNj++KRf4Quaqegsajd6L5Zzv7GLgSQpJJHfuIEkJ5ufXt04oKHREQMVuJauJ6T3762Lexz4+Ibu0N7U5rigodERJy6HLe0rJejhWO/sasFKkuWOCpQAX6qIcMp8kSUyBisxKlIuQ5aOe4bu6KEXNcH111nfXtixAUPiYgYrDiG3oJgsfaIOPIbexwM+6jhgodElOiYs+IA0Uwv1tMjokC9qJ1jvrEvXgzceGPwdocHKU1xwUMiSmQMViQX7fRirevlPDC2Dx75x25DVhC2RZz2pqiJNEXeyfV+iIjCYbAisUhJsuGmF/tyHaYv2xa256SgXzZ+2S/beTe5ujqgdevg7Q0NoQOYOJZQxf2IKOEwZ0ViegqCqdGa6+D7xj5hUGfkd28vf6CiKOqBihAJG6hMX7Yt6HfF1/tWVFJhU8uIiIzBnhWJGVEQLO5yHdSCkY8/BoYPt74tEoil942IyCkYrEjMqIJgsi8HoEkC5abowXL8RJQIOAwkMRYE+5FaoDJ4cMIHKgDL8RNRYmCwIrGELwh2110hC7x5P92qq+5MvGI5fiJKBBwGkpwvSbb5TA9HTS+ORphhH858+YnWKepx3/tGRHFNEcK5fenV1dVwu93weDxwuVx2N8dUCVND4+BBIDc3ePuPv6ah6s743olErOjqe08A9SnqifieEJHc9N6/GayQPCIk0XobBC6Yvz5kQqmvF2HjzEviM5ALg71NROQkeu/fHAYiOXpt1AKVgweBzp39P3LmS2hxN0WdiKgJBisJzvZv5DqmJHPmS3hxMUWdiEgFZwMlMNsrn6oFKjNnhpySzJkvRESJicFKgopU+RRorHxqypTgMWNCTknGvHkhn2Zl3Rlvg+DUaCIiSXAYKEHZlv8RQyVarYszAkBxWVXUuRu2D40REVEABisJyvL8j+3bgSFDgrfrnIwWqe4MgKAZQ3oCjVBTo31DY5wGTERkPQYrCcrS/A+D1/UJNfPln6WVMQUaXBSQiEhOzFlJUJbkfwihHqjU1cW8ro9v5suEQZ39w1Sx5uDoGRojIiLrMFhJUKavO6QoQJLKr5cQQKtW0R0zDCMCDU6NJiKSE4MVm8gw28SX/5HlDhzqyXKnxZabodabsmqVqaskGxFocGo0EZGcmLNiA5lmmxha+bRrV2D//uDtFqzoYESgwUUBiYjkxJ4Vi9leiE1F8/yPqAIVRQkOVLp3tyRQAYzJwTF9aIyIiKLCYMVCthZiM8vKlaELvO3da1kzjAo0TBsaIyKiqHEYyEJxtxCfwVOSYxWpBovWQIOLAhIRyYXBioXiZrbJ998D6enB2xsaQgcwFjEq0OCigERE8mCwYqG4mG0iWW+KGgYaRETxhTkrFrJyIT5TqAUqn30mVaBCRETxh8GKhRw720RRQifRDhhgfXuIiCihMFjRwYhCbnbNNom67WpByuTJ7E0hIiLLMGdFIyMLuVk92ySqts+bB8yaFbydQQoREVlMEcK5d5/q6mq43W54PB64XC7TXsdXyK35G+ULLWSuvxFV2x2QREtERM6l9/7NYaAInFzITXfbKypC56YwUCEiIpswWInAiNV87aKr7YoC5OSo7MQghYiI7MVgJQInF3LT2qb8Hh2CN1ZWMlAhIiIpMME2AicXcovUpn3zx6k/wCCFiIgkwp6VCJxcyC1c21UDlT//mYEKERFJh8FKBI4t5Ab1tj+3ar56oCIEcPfd1jWOiIhIIwYrGthVyM0ITdu+b/44jPviX8E7sTeFiIgkxjorOngbhGWF3Ay1ezfQt2/wdudeeiIicjC9928m2KoIFZRYvZpvNMFR8+eozvQBGKgQEZFjMFhpxsiy+la3I+A5QmDfY+ODdzp5EkhNNavZITm2V4qIiGzHYaAmZCmrH007mj5HtinJsgSAREQkB0eV2//oo48wfvx45OTkQFEUvPXWW7a1RZay+tG0o+lz1AKVKyc9ivxH19myJIAviGpeSbfScxLTl21DUUmF5W0iIiJnsTVYOXHiBAYOHIiFCxfa2QwA8pTVj6Ydm8uPYcbrj6sGKt1mrsGmLgNsWRJAlgCQiIiczdaclTFjxmDMmDF2NsFPlrL60bQjv0cH5Dd7fOmQcXho9M1RHdsoegIvKxOXiYjIWRyVYFtfX4/6+nr/z9XV1YYdW5ay+rrasWMHMHhw0GPdZq6J6dhGkSUAJCIiZ3NUUbi5c+fC7Xb7/+Xm5hp2bFnK6mttR36PDkGBildJUg1U7FoSQJYAkIiInM1RwcqsWbPg8Xj8/w4cOGDYsWUpqx+pHS29p1B8/6ig5xV9fgg97n1bqiUBZAkAiYjI2RwVrKSmpsLlcgX8M5IsZfVDtaN8/jj8Z8Gvg58gBAr650jR9qZkCQCJiMjZpKmzoigKVq5cicsvv1zzc8wqty9LAbOm7Zgw+MzgHQ4dAnJyQj5HluJrrLNCRERNOarcfm1tLfbu3ev/uby8HDt27EC7du3QpUsX29pldVn9sO14eg7w7LPBD4aIMWVpe1MF/bIxum+WdEEUERE5g609Kxs2bMAvfvGLoO1Tp07F0qVLIz7f6oUMLaeo3Mz//ndg4kTr20JERGQQR/WsXHzxxZBkFEouGzcCF14YvJ3vFRERJSBHJdgmBEUJDlQmTGCgQkRECctRReHiWk0NoNYVxiCFiIgSHIMVGajlpgAMVIiIiMBhIPupBSo1NQxUiIiIfsRgxS5jxqgHKkIAbdpY3x4iIiJJcRjIDmpByscfA8OHW98WIiIiybFnxUrvvhu6N4WBChERkSoGK1ZRFKCgIHDbnDnMTSEiIoqAw0Bm+/ZboFOn4O0MUoiIiDRhsGImtSGfs88Gdu8O+RQZFyIkIiKyE4MVMwgBJKmMsJ0+DSQnh3waVycmIiIKxpwVo91yi3qgIkTEQGX6sm0BgQoAVHpOYvqybSgqqTC6pURERI7AnhUjqQ37fPMNkB2+V8TbIDBndSnUslgEAAXAnNWlGN03i0NCRESUcNizYoTi4tBTkiMEKgCwufxYUI9KwGEAVHhOYnP5sRgaSURE5EwMVmKlKME1Utau1TXb50hN6EAlmv2IiIjiCYeBohXDlOTmM346tE7V9JKdMtL0tpKIiMjxGKxE45xzgNLSwG3PPtuYXBuB2oyfLFcaMtNbwlN3SjVvRQGQ5W6cxkxERJRoGKzo0dCgPqOnoUE9Z6UZ34yf5gHJ4eqT/m0KEPC476izx/dlci0RESUk5qxo9dprwYHK2LGNwz4aAhUtM37aprfEGa7AIaEsdxoWXT2EdVaIiChhsWdFC7VgpLYWaN1a8yG0zPj5ru4UXv2fYUhSFFawJSIi+hGDlXAqKoCcnMBt48YBq1frPpTWmTxHa+sxYVBn3ccnIiKKVxwGCmXBguBA5eDBqAIVQPtMHs74ISIiCsRgRU1pKXDPPT/9fNNNjbkpnaPv8Ria1w7Z7jSEGtBR0LgOEGf8EBERBWKwoqZ1ayA3t/H/v/4aeOGFmA+ZnKRg9vi+ABAUsHDGDxERUWgMVtR07Qrs39/Ym9Kli2GHLeiXjUVXD0GWO3CohzN+iIiIQmOCrcUK+mVjdN+sgAq2nPFDREQUGoMVGyQnKcjv3t7uZhARETkCh4GIiIhIagxWiIiISGoMVoiIiEhqDFaIiIhIagxWiIiISGoMVoiIiEhqDFaIiIhIagxWiIiISGoMVoiIiEhqDFaIiIhIagxWiIiISGoMVoiIiEhqjl7IUAgBAKiurra5JURERKSV777tu49H4uhgpaamBgCQm5trc0uIiIhIr5qaGrjd7oj7KUJrWCOhhoYGfPPNN8jIyICiKJqfV11djdzcXBw4cAAul8vEFtorUc4TSJxzTZTzBHiu8ShRzhNInHON9jyFEKipqUFOTg6SkiJnpDi6ZyUpKQlnnnlm1M93uVxx/UvkkyjnCSTOuSbKeQI813iUKOcJJM65RnOeWnpUfJhgS0RERFJjsEJERERSS8hgJTU1FbNnz0ZqaqrdTTFVopwnkDjnmijnCfBc41GinCeQOOdq1Xk6OsGWiIiI4l9C9qwQERGRczBYISIiIqkxWCEiIiKpMVghIiIiqcVlsPKnP/0Jw4cPR3p6OjIzMzU9RwiBBx98ENnZ2WjVqhVGjRqFPXv2BOxz7NgxTJ48GS6XC5mZmbj++utRW1trwhlop7dN+/btg6Ioqv/eeOMN/35qjy9fvtyKU1IVzXt/8cUXB53DzTffHLDP/v37MXbsWKSnp6NTp0645557cPr0aTNPJSK953rs2DHceuut6N27N1q1aoUuXbrgtttug8fjCdjP7mu6cOFCdOvWDWlpaRg2bBg2b94cdv833ngDZ599NtLS0tC/f3+88847AY9r+Zu1i55zXbx4MS688EK0bdsWbdu2xahRo4L2nzZtWtC1KygoMPs0NNFzrkuXLg06j7S0tIB9ZL2ues5T7bNHURSMHTvWv4+M1/Sjjz7C+PHjkZOTA0VR8NZbb0V8zoYNGzBkyBCkpqaiR48eWLp0adA+ev/2VYk49OCDD4onnnhC/O53vxNut1vTc+bNmyfcbrd46623xGeffSYuu+wykZeXJ77//nv/PgUFBWLgwIFi06ZN4l//+pfo0aOHmDRpkklnoY3eNp0+fVpUVFQE/JszZ45o06aNqKmp8e8HQBQWFgbs1/S9sFo07/2IESPEDTfcEHAOHo/H//jp06dFv379xKhRo8T27dvFO++8Izp06CBmzZpl9umEpfdcd+7cKSZOnCjefvttsXfvXvH++++Lnj17it/85jcB+9l5TZcvXy5SUlLEyy+/LHbt2iVuuOEGkZmZKQ4fPqy6/8cffyySk5PFY489JkpLS8Uf/vAH0bJlS7Fz507/Plr+Zu2g91yvuuoqsXDhQrF9+3axe/duMW3aNOF2u8XBgwf9+0ydOlUUFBQEXLtjx45ZdUoh6T3XwsJC4XK5As6jsrIyYB8Zr6ve86yqqgo4x5KSEpGcnCwKCwv9+8h4Td955x3x+9//XqxYsUIAECtXrgy7/1dffSXS09PF7373O1FaWiqeffZZkZycLIqKivz76H3vQonLYMWnsLBQU7DS0NAgsrKyxJ///Gf/tuPHj4vU1FTxt7/9TQghRGlpqQAgtmzZ4t9n7dq1QlEUcejQIcPbroVRbRo0aJC47rrrArZp+UW1SrTnOWLECHH77beHfPydd94RSUlJAR+WixYtEi6XS9TX1xvSdr2Muqavv/66SElJEadOnfJvs/OaDh06VMyYMcP/s9frFTk5OWLu3Lmq+//3f/+3GDt2bMC2YcOGiZtuukkIoe1v1i56z7W506dPi4yMDPGXv/zFv23q1KliwoQJRjc1ZnrPNdJnsqzXNdZr+uSTT4qMjAxRW1vr3ybrNfXR8nlx7733inPOOSdg2xVXXCF++ctf+n+O9b3zicthIL3Ky8tRWVmJUaNG+be53W4MGzYMxcXFAIDi4mJkZmbi5z//uX+fUaNGISkpCZ988onlbTaqTVu3bsWOHTtw/fXXBz02Y8YMdOjQAUOHDsXLL7+seSlvo8Vynq+++io6dOiAfv36YdasWairqws4bv/+/XHGGWf4t/3yl79EdXU1du3aZfyJaGDU75nH44HL5UKLFoHLf9lxTX/44Qds3bo14O8rKSkJo0aN8v99NVdcXBywP9B4bXz7a/mbtUM059pcXV0dTp06hXbt2gVs37BhAzp16oTevXtj+vTpqKqqMrTtekV7rrW1tejatStyc3MxYcKEgL81Ga+rEdd0yZIluPLKK9G6deuA7bJdU70i/Z0a8d75OHohQ6NUVlYCQMBNy/ez77HKykp06tQp4PEWLVqgXbt2/n2sZkSblixZgj59+mD48OEB2x9++GFccsklSE9Px3vvvYff/va3qK2txW233WZY+7WK9jyvuuoqdO3aFTk5Ofj8888xc+ZMfPnll1ixYoX/uGrX3PeYHYy4pkePHsUjjzyCG2+8MWC7Xdf06NGj8Hq9qu/1F198ofqcUNem6d+jb1uofewQzbk2N3PmTOTk5AR8wBcUFGDixInIy8tDWVkZ7r//fowZMwbFxcVITk429By0iuZce/fujZdffhkDBgyAx+PBggULMHz4cOzatQtnnnmmlNc11mu6efNmlJSUYMmSJQHbZbymeoX6O62ursb333+P7777Lua/Bx/HBCv33Xcf5s+fH3af3bt34+yzz7aoRebReq6x+v777/Haa6/hgQceCHqs6bbBgwfjxIkT+POf/2zojc3s82x6s+7fvz+ys7MxcuRIlJWVoXv37lEfNxpWXdPq6mqMHTsWffv2xUMPPRTwmBXXlGIzb948LF++HBs2bAhIPL3yyiv9/9+/f38MGDAA3bt3x4YNGzBy5Eg7mhqV/Px85Ofn+38ePnw4+vTpgxdffBGPPPKIjS0zz5IlS9C/f38MHTo0YHu8XFOrOCZYueuuuzBt2rSw+5x11llRHTsrKwsAcPjwYWRnZ/u3Hz58GIMGDfLvc+TIkYDnnT59GseOHfM/3yhazzXWNr355puoq6vDlClTIu47bNgwPPLII6ivrzdsDQirztNn2LBhAIC9e/eie/fuyMrKCspKP3z4MAA48prW1NSgoKAAGRkZWLlyJVq2bBl2fzOuqZoOHTogOTnZ/976HD58OOQ5ZWVlhd1fy9+sHaI5V58FCxZg3rx5WLduHQYMGBB237POOgsdOnTA3r17bbuxxXKuPi1btsTgwYOxd+9eAHJe11jO88SJE1i+fDkefvjhiK8jwzXVK9TfqcvlQqtWrZCcnBzz74ifrgwXh9GbYLtgwQL/No/Ho5pg++mnn/r3effdd6VIsI22TSNGjAiaMRLKH//4R9G2bduo2xoLo977jRs3CgDis88+E0L8lGDbNCv9xRdfFC6XS5w8edK4E9Ah2nP1eDzivPPOEyNGjBAnTpzQ9FpWXtOhQ4eKW265xf+z1+sVnTt3DptgO27cuIBt+fn5QQm24f5m7aL3XIUQYv78+cLlconi4mJNr3HgwAGhKIpYtWpVzO2NRTTn2tTp06dF7969xZ133imEkPe6RnuehYWFIjU1VRw9ejTia8hyTX2gMcG2X79+AdsmTZoUlGAby++Ivz269naIr7/+Wmzfvt0/JXf79u1i+/btAVNze/fuLVasWOH/ed68eSIzM1OsWrVKfP7552LChAmqU5cHDx4sPvnkE7Fx40bRs2dPKaYuh2vTwYMHRe/evcUnn3wS8Lw9e/YIRVHE2rVrg4759ttvi8WLF4udO3eKPXv2iOeff16kp6eLBx980PTzCUXvee7du1c8/PDD4tNPPxXl5eVi1apV4qyzzhIXXXSR/zm+qcuXXnqp2LFjhygqKhIdO3aUYuqynnP1eDxi2LBhon///mLv3r0BUyFPnz4thLD/mi5fvlykpqaKpUuXitLSUnHjjTeKzMxM/0ysa665Rtx3333+/T/++GPRokULsWDBArF7924xe/Zs1anLkf5m7aD3XOfNmydSUlLEm2++GXDtfJ9XNTU14u677xbFxcWivLxcrFu3TgwZMkT07NnTtqDaR++5zpkzR7z77ruirKxMbN26VVx55ZUiLS1N7Nq1y7+PjNdV73n6XHDBBeKKK64I2i7rNa2pqfHfLwGIJ554Qmzfvl18/fXXQggh7rvvPnHNNdf49/dNXb7nnnvE7t27xcKFC1WnLod777SKy2Bl6tSpAkDQvw8++MC/D36sOeHT0NAgHnjgAXHGGWeI1NRUMXLkSPHll18GHLeqqkpMmjRJtGnTRrhcLnHttdcGBEB2iNSm8vLyoHMXQohZs2aJ3Nxc4fV6g465du1aMWjQINGmTRvRunVrMXDgQPHCCy+o7msVvee5f/9+cdFFF4l27dqJ1NRU0aNHD3HPPfcE1FkRQoh9+/aJMWPGiFatWokOHTqIu+66K2C6rx30nusHH3yg+vsOQJSXlwsh5Limzz77rOjSpYtISUkRQ4cOFZs2bfI/NmLECDF16tSA/V9//XXRq1cvkZKSIs455xzxj3/8I+BxLX+zdtFzrl27dlW9drNnzxZCCFFXVycuvfRS0bFjR9GyZUvRtWtXccMNN+j+sDeLnnO94447/PueccYZ4le/+pXYtm1bwPFkva56f3+/+OILAUC89957QceS9ZqG+izxndvUqVPFiBEjgp4zaNAgkZKSIs4666yA+6pPuPdOK0UIm+ajEhEREWnAOitEREQkNQYrREREJDUGK0RERCQ1BitEREQkNQYrREREJDUGK0RERCQ1BitEREQkNQYrREREJDUGK0TkCBs2bICiKDh+/LjdTSEiizFYISLbeb1eDB8+HBMnTgzY7vF4kJubi9///vcYPnw4Kioq4Ha7bWolEdmF5faJSAr/+c9/MGjQICxevBiTJ08GAEyZMgWfffYZtmzZgpSUFJtbSER2Yc8KEUmhV69emDdvHm699VZUVFRg1apVWL58Of76178iJSWFw0BECayF3Q0gIvK59dZbsXLlSlxzzTXYuXMnHnzwQQwcONDuZhGRzRisEJE0FEXBokWL0KdPH/Tv3x/33Xef3U0iIglwGIiIpPLyyy8jPT0d5eXlOHjwoN3NISIJMFghImn8+9//xpNPPok1a9Zg6NChuP7668E5AETEYIWIpFBXV4dp06Zh+vTp+MUvfoElS5Zg8+bNeOGFF+xuGhHZjMEKEUlh1qxZEEJg3rx5AIBu3bphwYIFuPfee7Fv3z57G0dEtmKwQkS2+/DDD7Fw4UIUFhYiPT3dv/2mm27C8OHDORxElOBYFI6IiIikxp4VIiIikhqDFSIiIpIagxUiIiKSGoMVIiIikhqDFSIiIpIagxUiIiKSGoMVIiIikhqDFSIiIpIagxUiIiKSGoMVIiIikhqDFSIiIpLa/wcapY6nRfswTAAAAABJRU5ErkJggg=="
|
||
},
|
||
"metadata": {},
|
||
"output_type": "display_data"
|
||
}
|
||
],
|
||
"execution_count": 231
|
||
},
|
||
{
|
||
"cell_type": "code",
|
||
"execution_count": null,
|
||
"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": "3.9.7"
|
||
}
|
||
},
|
||
"nbformat": 4,
|
||
"nbformat_minor": 4
|
||
}
|