mirror of
https://github.com/ArthurDanjou/ArtStudies.git
synced 2026-01-24 22:52:11 +01:00
722 lines
533 KiB
Plaintext
722 lines
533 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 8,
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"id": "31effaa3",
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"metadata": {
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"tags": []
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},
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"outputs": [],
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"source": [
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"import math\n",
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"import numpy as np\n",
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"import scipy.stats as scs\n",
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"import matplotlib.pyplot as plt\n",
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"import numpy.random as random"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 9,
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"id": "71e1bd8e",
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"metadata": {
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"tags": []
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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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"0.9052450954029012\n",
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"0.268438983965372\n",
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"0.39642569360134305\n",
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"0.2855415942925523\n",
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"0.674638891062864\n",
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"0.397175943907469\n",
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"0.8916886173321832\n",
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"0.6433401281831508\n",
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"0.15638356293780564\n",
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"0.05006019580631338\n"
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]
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}
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],
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"source": [
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"for i in range(10):\n",
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" print(random.rand())"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 10,
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"id": "8f85cc95",
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"metadata": {
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"tags": []
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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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"Un vecteur de nombres aléatoires de taille 4 : [0.60762988 0.33052185 0.13831248 0.14838135].\n",
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"Une matrice de nombres aléatoires de taille 2 par 3 : [[0.56791513 0.26399637 0.2785913 ]\n",
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" [0.17929815 0.45572534 0.76020978]].\n"
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]
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}
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],
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"source": [
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"print(f\"Un vecteur de nombres aléatoires de taille 4 : {random.rand(4)}.\")\n",
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"\n",
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"print(f\"Une matrice de nombres aléatoires de taille 2 par 3 : {random.rand(2,3)}.\")"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 11,
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"id": "e5cc9927",
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"metadata": {
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"tags": []
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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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"0.7472226676638385\n",
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"---\n",
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"0.417022004702574\n",
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"0.7203244934421581\n",
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"0.00011437481734488664\n",
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"0.30233257263183977\n",
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"---\n",
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"0.417022004702574\n",
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"0.7203244934421581\n",
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"0.00011437481734488664\n",
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"0.30233257263183977\n"
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]
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}
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],
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"source": [
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"print(random.rand())\n",
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"print(\"---\")\n",
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"random.seed(seed=1) #ici on fixe la valeur de la graine\n",
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"print(random.rand())\n",
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"print(random.rand())\n",
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"print(random.rand())\n",
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"print(random.rand())\n",
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"print(\"---\")\n",
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"random.seed(seed=1)\n",
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"print(random.rand())\n",
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"print(random.rand())\n",
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"print(random.rand())\n",
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"print(random.rand())"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 12,
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"id": "9cc832e2",
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"metadata": {
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"tags": []
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},
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"outputs": [],
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"source": [
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"def uniforme_continue(a,b):\n",
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" return (b-a)*(random.rand()) + a"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 13,
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"id": "49f2cf0b",
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"metadata": {
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"tags": []
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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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"0.14675589081711304\n",
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"0.0923385947687978\n",
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"0.1862602113776709\n",
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"0.34556072704304774\n",
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"0.39676747423066994\n",
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"0.538816734003357\n",
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"0.4191945144032948\n",
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"0.6852195003967595\n",
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"0.20445224973151743\n",
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"0.8781174363909454\n"
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]
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}
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],
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"source": [
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"a=0\n",
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"b=1\n",
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"\n",
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"for i in range(10):\n",
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" print(uniforme_continue(a,b))"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 14,
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"id": "b4deeb6e",
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"metadata": {
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"tags": []
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},
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"outputs": [],
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"source": [
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"def test_disque(N):\n",
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" Z = np.zeros((2,N))\n",
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" for i in range(N):\n",
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" Z[0, i] = uniforme_continue(-1, 1)\n",
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" Z[1, i] = uniforme_continue(-1, 1)\n",
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" return Z"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 15,
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"id": "b88accb4",
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"metadata": {
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"tags": []
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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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"array([[-0.94522481, -0.1653904 , -0.71922612],\n",
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" [ 0.34093502, 0.11737966, -0.60379702]])"
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]
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},
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"execution_count": 15,
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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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"source": [
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"test_disque(3)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 16,
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"id": "d28b766b",
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"metadata": {
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"tags": []
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},
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"outputs": [
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{
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"data": {
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"a = test_disque(3000)\n",
|
|
"plt.scatter(a[0],a[1])\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 17,
|
|
"id": "e8dcfdce",
|
|
"metadata": {
|
|
"tags": []
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"def kPremier(N):\n",
|
|
" a = test_disque(N)\n",
|
|
" x = []\n",
|
|
" y = []\n",
|
|
" xp = []\n",
|
|
" yp = []\n",
|
|
" for i in range(N):\n",
|
|
" if ((a[0][i]**2 + a[1][i]**2)**(1/2) <= 1) :\n",
|
|
" x.append(a[0][i])\n",
|
|
" y.append(a[1][i])\n",
|
|
" else:\n",
|
|
" xp.append(a[0][i])\n",
|
|
" yp.append(a[1][i])\n",
|
|
" \n",
|
|
" return np.array((x,y)), np.array((xp,yp))"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 18,
|
|
"id": "b0e68e09",
|
|
"metadata": {
|
|
"tags": []
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"\n",
|
|
"N = 3000\n",
|
|
"a = kPremier(N)\n",
|
|
"x = a[0]\n",
|
|
"y = a[1]\n",
|
|
"\n",
|
|
"\n",
|
|
"plt.scatter(x[0],x[1])\n",
|
|
"plt.scatter(y[0],y[1])\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 19,
|
|
"id": "0546af8d",
|
|
"metadata": {
|
|
"tags": []
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"n = 10\n",
|
|
"p = 0.2\n",
|
|
"x = np.array(range(1, n+1))\n",
|
|
"y = [(1-p)**(k-1) * p for k in x]\n",
|
|
"\n",
|
|
"width = 0.1\n",
|
|
"fig = plt.figure()\n",
|
|
"\n",
|
|
"plt.bar(x, y, width, align=\"center\")\n",
|
|
"plt.scatter(x, y, color=\"black\")\n",
|
|
"plt.xlabel(\"$e$\")\n",
|
|
"plt.ylabel(\"$p_e$\")\n",
|
|
"plt.title(f\"Diagramme en bâtons de la loi géométrique $X({n},{p})$.\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 20,
|
|
"id": "f7eb1acd-6f41-44a3-b198-4539e1caf67e",
|
|
"metadata": {
|
|
"tags": []
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
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"text/plain": [
|
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"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"p = [0.1, 0.3, 0.5]\n",
|
|
"width = 0.2\n",
|
|
"fig = plt.figure()\n",
|
|
"for i in p:\n",
|
|
" m = math.floor(math.log(0.05)/math.log(1-i))\n",
|
|
" x = np.array(range(1, m+1))\n",
|
|
" y = [(1-i)**(k-1) * i for k in x]\n",
|
|
" plt.bar(x, y, width, align=\"center\", label=f\"p={i}\")\n",
|
|
" plt.scatter(x, y, color=\"black\")\n",
|
|
" plt.xlabel(\"$e$\")\n",
|
|
" plt.ylabel(\"$p_e$\")\n",
|
|
" plt.title(f\"Diagramme en bâtons de la loi géométrique\")\n",
|
|
" plt.legend()\n",
|
|
" plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 21,
|
|
"id": "c5f52679-70ed-406f-8bf2-8629cd7cda30",
|
|
"metadata": {
|
|
"tags": []
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"x = [1, 2, 3, 4]\n",
|
|
"N = [450, 350, 50, 150]\n",
|
|
"n = sum(N)\n",
|
|
"frequence = [x/n for x in N]\n",
|
|
"width = 0.05\n",
|
|
"fig = plt.figure()\n",
|
|
"plt.xlabel(\"$e$\")\n",
|
|
"plt.ylabel(\"$p_e$\")\n",
|
|
"plt.title(\"Diagramme en bâtons de la loi empirique\")\n",
|
|
"plt.bar(x, frequence, width, align=\"center\")\n",
|
|
"plt.scatter(x, frequence, color=\"black\")\n",
|
|
"plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 22,
|
|
"id": "739cc3ae-54d6-4e92-a9f0-59b6bec4fdd0",
|
|
"metadata": {
|
|
"tags": []
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"def de():\n",
|
|
" return math.ceil(6*random.rand())\n",
|
|
"\n",
|
|
"def max3de():\n",
|
|
" return max([de(), de(), de()])"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 33,
|
|
"id": "717db457-ba2a-48cd-b2c0-ad1ab117e3ed",
|
|
"metadata": {
|
|
"tags": []
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 0 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 0 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 0 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
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"image/png": 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ee+01ZWZmasyYMfryyy81Z84cderUSQcPHmxQHfxt0aJF+tGPfqShQ4fqwQcf9Hx1xKFDh/Tmm2/q3XffrXHdIUOGaNKkSfq3f/s37dmzRzfddJNat26tkpISbd++XX379tWDDz7ot7m2b99et9xyi2bNmqXWrVtryZIl+p//+R+vW+HvuOMOzZkzR4899piGDRumzz77TLNnz1ZMTIxXaLj66qsVHR2tjRs3asSIEWrbtq3at2+v7t27a968eUpNTdXw4cP1yCOPKCQkREuWLNHHH3+stWvX1vsTjpctW6Z3331Xt99+u7p166Zz587p+eeflySvD/C8VJ8+fXTPPfcoLy9PDodDt956qz7++GPNnz9f4eHhXn1nz54tl8ullJQU/fKXv1Tv3r117tw5HTlyRAUFBVq2bFm9Phvr9ttv14IFCzR+/HhNmjRJJ06c0Pz583/wUb3evXtr0qRJevrppxUYGKhRo0bpyJEjmjVrlqKiojR9+vQfNC5swOKLsAHLVN1pU/UICQkxHTt2NMOGDTNz5841x48f91mnurvAduzYYZKTk01YWJjp0KGDmThxovnoo4+MJLNy5UqvvsuXLzfXXXedCQkJMb169TLPP/+8GT16tNcdXFV3gf3ud7+rdt5PPPGE6d69u3E6naZPnz7mueeeq3ZeksyUKVO82moa+7333vO57XvYsGHm+uuv99l+dHS0uf32233aa9re/fffb7p06WIcDofp0KGDSUlJMY8//ni1+3ap559/3gwePNi0bt3atGrVyvTo0cNMmDDB6860muZZ1zt+qua9ZMkS06NHD+NwOExsbKx5+eWXvfqVl5ebRx55xHTp0sWEhoaaG2+80bz++uvVbmfz5s1mwIABxul0+txVtW3bNnPLLbd49ikpKcm8+eabXuvXdIdi1etUddt9UVGRueuuu0x0dLRxOp2mXbt2ZtiwYeaNN9647H6Xl5ebX/3qV6Zjx44mNDTUJCUlmaKiIhMdHe01X2Mu3tn2y1/+0sTExBiHw2Hatm1rEhISzMyZM73uMqxOdXeBPf/886Z3797G6XSaa6+91sybN8+sWLHCSDKHDx+udbzq3usVFRXmySefNL169TIOh8O0b9/e3HPPPebLL7/06sddYPi+AGN+4CdPAWiwkydPqlevXvrpT3+q5cuXWz0dALANToEBTaS0tFS//e1vNXz4cLVr105ffPGFFi5cqNOnT/P9RADQxAhAQBNxOp06cuSIMjMz9be//U1hYWFKSkrSsmXLPLcUAwCaBqfAAACA7fBBiAAAwHYIQAAAwHYIQAAAwHa4CLoalZWVOnbsmK6++up6fzAZAACwhjFGp0+fVufOnS/7AbMEoGocO3bM66PtAQBA8/Hll19e9hPKCUDVuPrqqyVdLOClHwvf2NxutwoLC5WWliaHw9Gk226JqKf/UEv/op7+Qy39qznXs6ysTFFRUZ6/47UhAFWj6rRXeHi4JQEoLCxM4eHhze6NdyWinv5DLf2LevoPtfSvllDPuly+wkXQAADAdghAAADAdghAAADAdghAAADAdghAAADAdghAAADAdghAAADAdghAAADAdghAAADAdghAAADAdghAAADAdghAAADAdghAAADAdghAAADAdghAAADAdoKtngAAAGhmctr4YYxTDR+jATgCBAAAbIcABAAAbIcABAAAbIcABAAAbIcABAAAbIcABAAAbIcABAAAbIcABAAAbIcABAAAbIcABAAAbIcABAAAbIfvAgMAwEa6z3i71uXOIKOnBknxOZtUXhFQbZ8joY0xs6Zl+RGgJUuWKCYmRqGhoUpISNC2bdvqtN4HH3yg4OBg9e/f32fZ+vXrFRcXJ6fTqbi4OG3YsMHPswYAAM2ZpQEoPz9f06ZN08yZM7Vv3z4NHTpUo0aNUnFxca3rnTp1ShMmTNCIESN8lhUVFWncuHFKT0/XgQMHlJ6errFjx2rXrl2NtRsAAKCZsTQALViwQBkZGZo4caL69OmjvLw8RUVFaenSpbWu98ADD2j8+PFKTk72WZaXl6fU1FRlZ2crNjZW2dnZGjFihPLy8hppLwAAQHNjWQA6f/689u7dq7S0NK/2tLQ07dixo8b1Vq5cqf/7v//TY489Vu3yoqIinzFHjhxZ65gAAMBeLLsI+ttvv1VFRYUiIiK82iMiIlRaWlrtOgcPHtSMGTO0bds2BQdXP/XS0tJ6jSlJ5eXlKi8v9zwvKyuTJLndbrnd7jrtj79Uba+pt9tSUU//oZb+RT39h1rWjzPI1L480Hj9Wx13oB+ugm6E16s+7wHL7wILCPC+wtwY49MmSRUVFRo/frxyc3PVq1cvv4xZZd68ecrNzfVpLywsVFhYWK3baiwul8uS7bZU1NN/qKV/UU//oZZ189SguvWbk1hZ47ICLW/4RAoKGj7GJc6ePVvnvpYFoPbt2ysoKMjnyMzx48d9juBI0unTp7Vnzx7t27dPDz30kCSpsrJSxhgFBwersLBQt9xyiyIjI+s8ZpXs7GxlZWV5npeVlSkqKkppaWkKDw9vyG7Wm9vtlsvlUmpqqhwOR5NuuyWinv5DLf2LevoPtayf+JxNtS53BhrNSazUrD2BKq+s/uDBx86Mhk8k+6uGj3GJqjM4dWFZAAoJCVFCQoJcLpfuuusuT7vL5dLo0aN9+oeHh+svf/mLV9uSJUv07rvv6tVXX1VMTIwkKTk5WS6XS9OnT/f0KywsVEpKSo1zcTqdcjqdPu0Oh8OyHyYrt90SUU//oZb+RT39h1rWTU2f7ePTrzKgxr6OynMNn0gjvFb1ef0tPQWWlZWl9PR0JSYmKjk5WcuXL1dxcbEmT54s6eKRmaNHj2r16tUKDAxUfHy81/odO3ZUaGioV/vUqVN100036cknn9To0aO1ceNGbd68Wdu3b2/SfQMAAFcuSwPQuHHjdOLECc2ePVslJSWKj49XQUGBoqOjJUklJSWX/UygS6WkpGjdunV69NFHNWvWLPXo0UP5+fkaPHhwY+wCAABohiy/CDozM1OZmZnVLlu1alWt6+bk5CgnJ8enfcyYMRozZowfZgcAAFoiy78KAwAAoKkRgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO1YHoCWLFmimJgYhYaGKiEhQdu2baux7/bt2zVkyBC1a9dOrVq1UmxsrBYuXOjVZ9WqVQoICPB5nDt3rrF3BQAANBPBVm48Pz9f06ZN05IlSzRkyBA9++yzGjVqlP7617+qW7duPv1bt26thx56SP369VPr1q21fft2PfDAA2rdurUmTZrk6RceHq7PPvvMa93Q0NBG3x8AANA8WBqAFixYoIyMDE2cOFGSlJeXp02bNmnp0qWaN2+eT/8BAwZowIABnufdu3fXa6+9pm3btnkFoICAAEVGRjb+DgAAgGbJsgB0/vx57d27VzNmzPBqT0tL044dO+o0xr59+7Rjxw49/vjjXu1nzpxRdHS0Kioq1L9/f82ZM8crOF2qvLxc5eXlnudlZWWSJLfbLbfbXddd8ouq7TX1dlsq6uk/1NK/qKf/UMv6cQaZ2pcHGq9/q+MO9MNZlUZ4verzHggwxtReiUZy7NgxdenSRR988IFSUlI87XPnztULL7zgcwrr+7p27apvvvlGFy5cUE5OjmbNmuVZtnPnTh06dEh9+/ZVWVmZFi1apIKCAh04cEA9e/asdrycnBzl5ub6tK9Zs0ZhYWEN2EsAANBUzp49q/Hjx+vUqVMKDw+vta+lp8Cki6ervs8Y49N2qW3btunMmTPauXOnZsyYoeuuu04///nPJUlJSUlKSkry9B0yZIhuvPFGPf3001q8eHG142VnZysrK8vzvKysTFFRUUpLS7tsAf3N7XbL5XIpNTVVDoejSbfdElFP/6GW/kU9/Yda1k98zqZalzsDjeYkVmrWnkCVV1b/9/hjZ0bDJ5L9VcPHuETVGZy6sCwAtW/fXkFBQSotLfVqP378uCIiImpdNyYmRpLUt29fff3118rJyfEEoEsFBgZq4MCBOnjwYI3jOZ1OOZ1On3aHw2HZD5OV226JqKf/UEv/op7+Qy3rpryi9oMMnn6VATX2dVT64c7qRnit6vP6W3YbfEhIiBISEuRyubzaXS6X1ymxyzHGeF2/U93y/fv3q1OnTj94rgAAoGWx9BRYVlaW0tPTlZiYqOTkZC1fvlzFxcWaPHmypIunpo4eParVq1dLkp555hl169ZNsbGxki5+LtD8+fP18MMPe8bMzc1VUlKSevbsqbKyMi1evFj79+/XM8880/Q7CAAArkiWBqBx48bpxIkTmj17tkpKShQfH6+CggJFR0dLkkpKSlRcXOzpX1lZqezsbB0+fFjBwcHq0aOHnnjiCT3wwAOePidPntSkSZNUWlqqNm3aaMCAAdq6dasGDRrU5PsHAACuTJZfBJ2ZmanMzMxql61atcrr+cMPP+x1tKc6Cxcu9Pl0aAAAgO+z/KswAAAAmhoBCAAA2A4BCAAA2A4BCAAA2A4BCAAA2A4BCAAA2A4BCAAA2A4BCAAA2A4BCAAA2A4BCAAA2A4BCAAA2A4BCAAA2A4BCAAA2A4BCAAA2A4BCAAA2A4BCAAA2A4BCAAA2A4BCAAA2A4BCAAA2A4BCAAA2A4BCAAA2A4BCAAA2A4BCAAA2A4BCAAA2A4BCAAA2A4BCAAA2A4BCAAA2A4BCAAA2E6w1RMAAOByus94u8ZlziCjpwZJ8TmbVF4RUGO/I0/c3hhTQzPFESAAAGA7BCAAAGA7lgegJUuWKCYmRqGhoUpISNC2bdtq7Lt9+3YNGTJE7dq1U6tWrRQbG6uFCxf69Fu/fr3i4uLkdDoVFxenDRs2NOYuAACAZsbSAJSfn69p06Zp5syZ2rdvn4YOHapRo0apuLi42v6tW7fWQw89pK1bt+rTTz/Vo48+qkcffVTLly/39CkqKtK4ceOUnp6uAwcOKD09XWPHjtWuXbuaarcAAMAVztIAtGDBAmVkZGjixInq06eP8vLyFBUVpaVLl1bbf8CAAfr5z3+u66+/Xt27d9c999yjkSNHeh01ysvLU2pqqrKzsxUbG6vs7GyNGDFCeXl5TbRXAADgSmfZXWDnz5/X3r17NWPGDK/2tLQ07dixo05j7Nu3Tzt27NDjjz/uaSsqKtL06dO9+o0cObLWAFReXq7y8nLP87KyMkmS2+2W2+2u01z8pWp7Tb3dlop6+g+19C/qWT/OIFPzskDj9W9NqPVFtdVSqls93YGhDZ9II7we9XmNLQtA3377rSoqKhQREeHVHhERodLS0lrX7dq1q7755htduHBBOTk5mjhxomdZaWlpvcecN2+ecnNzfdoLCwsVFhZWl93xO5fLZcl2Wyrq6T/U0r+oZ908NejyfeYkVta6vKCgwE+zad7qUkup9noWaHmNy+qsEV6Ps2fP1rmv5Z8DFBDg/ZkNxhiftktt27ZNZ86c0c6dOzVjxgxdd911+vnPf/6Dx8zOzlZWVpbneVlZmaKiopSWlqbw8PD67E6Dud1uuVwupaamyuFwNOm2WyLq6T/U0r+oZ/3E52yqcZkz0GhOYqVm7QlUeWXNv+s/zhnZGFNrdmqrpVS3en7szGj4RLK/avgYl6g6g1MXlgWg9u3bKygoyOfIzPHjx32O4FwqJiZGktS3b199/fXXysnJ8QSgyMjIeo/pdDrldDp92h0Oh2W/mKzcdktEPf2HWvoX9ayb2j7g0NOnMqDWftT5orrUUqq9no7Kcw2fSCO8HvV5jS27CDokJEQJCQk+h39dLpdSUlLqPI4xxuv6neTkZJ8xCwsL6zUmAABo2Sw9BZaVlaX09HQlJiYqOTlZy5cvV3FxsSZPnizp4qmpo0ePavXq1ZKkZ555Rt26dVNsbKyki58LNH/+fD388MOeMadOnaqbbrpJTz75pEaPHq2NGzdq8+bN2r59e9PvIAAAuCJZGoDGjRunEydOaPbs2SopKVF8fLwKCgoUHR0tSSopKfH6TKDKykplZ2fr8OHDCg4OVo8ePfTEE0/ogQce8PRJSUnRunXr9Oijj2rWrFnq0aOH8vPzNXjw4CbfPwAAcGWy/CLozMxMZWZmVrts1apVXs8ffvhhr6M9NRkzZozGjBnjj+kBAIAWyPKvwgAAAGhqBCAAAGA7BCAAAGA7BCAAAGA7BCAAAGA7BCAAAGA7BCAAAGA7BCAAAGA7ln8QIgAATSKnTQPXP+WfeeCKwBEgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgO5YHoCVLligmJkahoaFKSEjQtm3bauz72muvKTU1VR06dFB4eLiSk5O1adMmrz6rVq1SQECAz+PcuXONvSsAAKCZsDQA5efna9q0aZo5c6b27dunoUOHatSoUSouLq62/9atW5WamqqCggLt3btXw4cP15133ql9+/Z59QsPD1dJSYnXIzQ0tCl2CQAANAPBVm58wYIFysjI0MSJEyVJeXl52rRpk5YuXap58+b59M/Ly/N6PnfuXG3cuFFvvvmmBgwY4GkPCAhQZGRko84dAAA0X5YFoPPnz2vv3r2aMWOGV3taWpp27NhRpzEqKyt1+vRptW3b1qv9zJkzio6OVkVFhfr37685c+Z4BaRLlZeXq7y83PO8rKxMkuR2u+V2u+u6S35Rtb2m3m5LRT39h1r6F/WsH2eQqXlZoPH6tybuwAaeCWghr1VttZTqVs8G11JqlHrW5+cpwBhTeyUaybFjx9SlSxd98MEHSklJ8bTPnTtXL7zwgj777LPLjvG73/1OTzzxhD799FN17NhRkrRz504dOnRIffv2VVlZmRYtWqSCggIdOHBAPXv2rHacnJwc5ebm+rSvWbNGYWFhP3APAQBAUzp79qzGjx+vU6dOKTw8vNa+lp4Cky6ervo+Y4xPW3XWrl2rnJwcbdy40RN+JCkpKUlJSUme50OGDNGNN96op59+WosXL652rOzsbGVlZXmel5WVKSoqSmlpaZctoL+53W65XC6lpqbK4XA06bZbIurpP9TSv6hn/cTnbKpxmTPQaE5ipWbtCVR5Zc1/Pz52ZjRsEtlfNWz9K0RttZTqVs8G11JqlHpWncGpC8sCUPv27RUUFKTS0lKv9uPHjysiIqLWdfPz85WRkaFXXnlFt956a619AwMDNXDgQB08eLDGPk6nU06n06fd4XBY9ovJym23RNTTf6ilf1HPuimvuPz/GJdXBtTaz1HZwLuBW8jrVJdaSrXXs8G1lBqlnvX5WbLsLrCQkBAlJCTI5XJ5tbtcLq9TYpdau3at7rvvPq1Zs0a33377ZbdjjNH+/fvVqVOnBs8ZAAC0DJaeAsvKylJ6eroSExOVnJys5cuXq7i4WJMnT5Z08dTU0aNHtXr1akkXw8+ECRO0aNEiJSUleY4etWrVSm3atJEk5ebmKikpST179lRZWZkWL16s/fv365lnnrFmJwEAwBXH0gA0btw4nThxQrNnz1ZJSYni4+NVUFCg6OhoSVJJSYnXZwI9++yzunDhgqZMmaIpU6Z42u+9916tWrVKknTy5ElNmjRJpaWlatOmjQYMGKCtW7dq0KBBTbpvAADgymX5RdCZmZnKzMysdllVqKmyZcuWy463cOFCLVy40A8zAwAALZXlX4UBAADQ1AhAAADAdghAAADAdghAAADAdghAAADAdghAAADAdghAAADAdghAAADAdghAAADAdghAAADAdghAAADAdghAAADAdghAAADAdghAAADAduodgO677z5t3bq1MeYCAADQJOodgE6fPq20tDT17NlTc+fO1dGjRxtjXgAAAI2m3gFo/fr1Onr0qB566CG98sor6t69u0aNGqVXX31Vbre7MeYIAADgVz/oGqB27dpp6tSp2rdvnz788ENdd911Sk9PV+fOnTV9+nQdPHjQ3/MEAADwmwZdBF1SUqLCwkIVFhYqKChIt912mz755BPFxcVp4cKF/pojAACAX9U7ALndbq1fv1533HGHoqOj9corr2j69OkqKSnRCy+8oMLCQr344ouaPXt2Y8wXAACgwYLru0KnTp1UWVmpn//85/rwww/Vv39/nz4jR47UP/3TP/lhegAAAP5X7wC0cOFC/fM//7NCQ0Nr7HPNNdfo8OHDDZoYAABAY6l3AEpPT2+MeQAAADQZPgkaAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYjuUBaMmSJYqJiVFoaKgSEhK0bdu2Gvu+9tprSk1NVYcOHRQeHq7k5GRt2rTJp9/69esVFxcnp9OpuLg4bdiwoTF3AQAANDOWBqD8/HxNmzZNM2fO1L59+zR06FCNGjVKxcXF1fbfunWrUlNTVVBQoL1792r48OG68847tW/fPk+foqIijRs3Tunp6Tpw4IDS09M1duxY7dq1q6l2CwAAXOEsDUALFixQRkaGJk6cqD59+igvL09RUVFaunRptf3z8vL061//WgMHDlTPnj01d+5c9ezZU2+++aZXn9TUVGVnZys2NlbZ2dkaMWKE8vLymmivAADAlc6yAHT+/Hnt3btXaWlpXu1paWnasWNHncaorKzU6dOn1bZtW09bUVGRz5gjR46s85gAAKDlq/d3gfnLt99+q4qKCkVERHi1R0REqLS0tE5j/P73v9d3332nsWPHetpKS0vrPWZ5ebnKy8s9z8vKyiRJbrdbbre7TnPxl6rtNfV2Wyrq6T/U0r+oZ/04g0zNywKN1781cQfW/CXeddJCXqvaainVrZ4NrqXUKPWsz8+TZQGoSkBAgNdzY4xPW3XWrl2rnJwcbdy4UR07dmzQmPPmzVNubq5Pe2FhocLCwi47l8bgcrks2W5LRT39h1r6F/Wsm6cGXb7PnMTKWpcXaHnDJlFQ0LD1rxB1qaVUez0bXEupUep59uzZOve1LAC1b99eQUFBPkdmjh8/7nME51L5+fnKyMjQK6+8oltvvdVrWWRkZL3HzM7OVlZWlud5WVmZoqKilJaWpvDw8Lrukl+43W65XC6lpqbK4XA06bZbIurpP9TSv6hn/cTn+N7xW8UZaDQnsVKz9gSqvLLm/9n92JnRsElkf9Ww9a8QtdVSqls9G1xLqVHqWXUGpy4sC0AhISFKSEiQy+XSXXfd5Wl3uVwaPXp0jeutXbtW999/v9auXavbb7/dZ3lycrJcLpemT5/uaSssLFRKSkqNYzqdTjmdTp92h8Nh2S8mK7fdElFP/6GW/kU966a84vJnBsorA2rt56g817BJtJDXqS61lGqvZ4NrKTVKPevzs2TpKbCsrCylp6crMTFRycnJWr58uYqLizV58mRJF4/MHD16VKtXr5Z0MfxMmDBBixYtUlJSkudIT6tWrdSmTRtJ0tSpU3XTTTfpySef1OjRo7Vx40Zt3rxZ27dvt2YnAQDAFcfS2+DHjRunvLw8zZ49W/3799fWrVtVUFCg6OhoSVJJSYnXZwI9++yzunDhgqZMmaJOnTp5HlOnTvX0SUlJ0bp167Ry5Ur169dPq1atUn5+vgYPHtzk+wcAAK5Mll8EnZmZqczMzGqXrVq1yuv5li1b6jTmmDFjNGbMmAbODAAAtFSWfxUGAABAUyMAAQAA2yEAAQAA2yEAAQAA2yEAAQAA2yEAAQAA2yEAAQAA2yEAAQAA2yEAAQAA2yEAAQAA2yEAAQAA2yEAAQAA2yEAAQAA2yEAAQAA2yEAAQAA2yEAAQAA2wm2egIA0BJ1n/F2rcudQUZPDZLiczapvCKg2j5Hnri9MaYGQBwBAgAANsQRIAC4UuW08cMYpxo+BtACcQQIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYjuUBaMmSJYqJiVFoaKgSEhK0bdu2GvuWlJRo/Pjx6t27twIDAzVt2jSfPqtWrVJAQIDP49y5c424FwAAoDmxNADl5+dr2rRpmjlzpvbt26ehQ4dq1KhRKi4urrZ/eXm5OnTooJkzZ+qGG26ocdzw8HCVlJR4PUJDQxtrNwAAQDNjaQBasGCBMjIyNHHiRPXp00d5eXmKiorS0qVLq+3fvXt3LVq0SBMmTFCbNm1qHDcgIECRkZFeDwAAgCrBVm34/Pnz2rt3r2bMmOHVnpaWph07djRo7DNnzig6OloVFRXq37+/5syZowEDBtTYv7y8XOXl5Z7nZWVlkiS32y23292gudRX1faaerstFfX0H2pZP84gU/vyQOP1b3XcgX44ct1CXq/a6lmXWkp+qKcNaik17/dmfX4/BRhjaq9EIzl27Ji6dOmiDz74QCkpKZ72uXPn6oUXXtBnn31W6/o333yz+vfvr7y8PK/2nTt36tChQ+rbt6/Kysq0aNEiFRQU6MCBA+rZs2e1Y+Xk5Cg3N9enfc2aNQoLC6v/zgEAgCZ39uxZjR8/XqdOnVJ4eHitfS07AlQlICDA67kxxqetPpKSkpSUlOR5PmTIEN144416+umntXjx4mrXyc7OVlZWlud5WVmZoqKilJaWdtkC+pvb7ZbL5VJqaqocDkeTbrslop7+Qy3rJz5nU63LnYFGcxIrNWtPoMorq/+d97Ezo+ETyf6q4WNcAWqrZ11qKfmhnjaopdS835tVZ3DqwrIA1L59ewUFBam0tNSr/fjx44qIiPDbdgIDAzVw4EAdPHiwxj5Op1NOp9On3eFwWPaL3sptt0TU03+oZd2UV9Ttf+TKKwNq7Ouo9MPdqy3ktapLPWurpeSHetqollLzfG/W53eTZRdBh4SEKCEhQS6Xy6vd5XJ5nRJrKGOM9u/fr06dOvltTAAA0LxZegosKytL6enpSkxMVHJyspYvX67i4mJNnjxZ0sVTU0ePHtXq1as96+zfv1/SxQudv/nmG+3fv18hISGKi4uTJOXm5iopKUk9e/ZUWVmZFi9erP379+uZZ55p8v0DAABXJksD0Lhx43TixAnNnj1bJSUlio+PV0FBgaKjoyVd/ODDSz8T6Pt3c+3du1dr1qxRdHS0jhw5Ikk6efKkJk2apNLSUrVp00YDBgzQ1q1bNWjQoCbbLwAAcGWz/CLozMxMZWZmVrts1apVPm2Xu2lt4cKFWrhwoT+mBgAAWijLvwoDAACgqRGAAACA7RCAAACA7RCAAACA7RCAAACA7RCAAACA7RCAAACA7RCAAACA7RCAAACA7RCAAACA7RCAAACA7RCAAACA7RCAAACA7RCAAACA7RCAAACA7RCAAACA7RCAAACA7RCAAACA7RCAAACA7RCAAACA7RCAAACA7RCAAACA7RCAAACA7RCAAACA7RCAAACA7RCAAACA7RCAAACA7RCAAACA7RCAAACA7RCAAACA7RCAAACA7VgegJYsWaKYmBiFhoYqISFB27Ztq7FvSUmJxo8fr969eyswMFDTpk2rtt/69esVFxcnp9OpuLg4bdiwoZFmDwAAmiNLA1B+fr6mTZummTNnat++fRo6dKhGjRql4uLiavuXl5erQ4cOmjlzpm644YZq+xQVFWncuHFKT0/XgQMHlJ6errFjx2rXrl2NuSsAAKAZsTQALViwQBkZGZo4caL69OmjvLw8RUVFaenSpdX27969uxYtWqQJEyaoTZs21fbJy8tTamqqsrOzFRsbq+zsbI0YMUJ5eXmNuCcAAKA5CbZqw+fPn9fevXs1Y8YMr/a0tDTt2LHjB49bVFSk6dOne7WNHDmy1gBUXl6u8vJyz/OysjJJktvtltvt/sFz+SGqttfU222pqKf/UMv6cQaZ2pcHGq9/q+MODG34RFrI61VbPetSS8kP9bRBLaXm/d6sz+8nywLQt99+q4qKCkVERHi1R0REqLS09AePW1paWu8x582bp9zcXJ/2wsJChYWF/eC5NITL5bJkuy0V9fQfalk3Tw2qW785iZU1LivQ8oZPpKCg4WNcAepSz9pqKfmhnjaqpdQ835tnz56tc1/LAlCVgIAAr+fGGJ+2xh4zOztbWVlZnudlZWWKiopSWlqawsPDGzSX+nK73XK5XEpNTZXD4WjSbbdE1NN/qGX9xOdsqnW5M9BoTmKlZu0JVHll9b+fPnZmNHwi2V81fIwrQG31rEstJT/U0wa1lJr3e7PqDE5dWBaA2rdvr6CgIJ8jM8ePH/c5glMfkZGR9R7T6XTK6XT6tDscDst+0Vu57ZaIevoPtayb8oq6/Y9ceWVAjX0dlecaPpEW8lrVpZ611VLyQz1tVEupeb436/O7ybKLoENCQpSQkOBzON3lciklJeUHj5ucnOwzZmFhYYPGBAAALYulp8CysrKUnp6uxMREJScna/ny5SouLtbkyZMlXTw1dfToUa1evdqzzv79+yVJZ86c0TfffKP9+/crJCREcXFxkqSpU6fqpptu0pNPPqnRo0dr48aN2rx5s7Zv397k+wcAAK5MlgagcePG6cSJE5o9e7ZKSkoUHx+vgoICRUdHS7r4wYeXfibQgAEDPP+9d+9erVmzRtHR0Tpy5IgkKSUlRevWrdOjjz6qWbNmqUePHsrPz9fgwYObbL8AAMCVzfKLoDMzM5WZmVntslWrVvm0GVP77XuSNGbMGI0ZM6ahUwMAAC2U5V+FAQAA0NQIQAAAwHYIQAAAwHYsvwYIQAuTU/339NV9/VP+mQcA1IIjQAAAwHYIQAAAwHYIQAAAwHa4BgiAR/cZb9e4zBlk9NSgi1+kWNt3CR0JbYyZAYB/cQQIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYDgEIAADYjuUBaMmSJYqJiVFoaKgSEhK0bdu2Wvu///77SkhIUGhoqK699lotW7bMa/mqVasUEBDg8zh37lxj7gYAAGhGLA1A+fn5mjZtmmbOnKl9+/Zp6NChGjVqlIqLi6vtf/jwYd12220aOnSo9u3bp9/85jf65S9/qfXr13v1Cw8PV0lJidcjNDS0KXYJAAA0A8FWbnzBggXKyMjQxIkTJUl5eXnatGmTli5dqnnz5vn0X7Zsmbp166a8vDxJUp8+fbRnzx7Nnz9fd999t6dfQECAIiMjm2QfAABA82NZADp//rz27t2rGTNmeLWnpaVpx44d1a5TVFSktLQ0r7aRI0dqxYoVcrvdcjgckqQzZ84oOjpaFRUV6t+/v+bMmaMBAwbUOJfy8nKVl5d7npeVlUmS3G633G73D9q/H6pqe0293ZaKetaPM8jUvCzQeP1bE3dgA4+2tpDXqrZaSnWrZ4NrKdminrw366clvzfr87s+wBhTeyUaybFjx9SlSxd98MEHSklJ8bTPnTtXL7zwgj777DOfdXr16qX77rtPv/nNbzxtO3bs0JAhQ3Ts2DF16tRJO3fu1KFDh9S3b1+VlZVp0aJFKigo0IEDB9SzZ89q55KTk6Pc3Fyf9jVr1igsLMwPewsAABrb2bNnNX78eJ06dUrh4eG19rX0FJh08XTV9xljfNou1//77UlJSUpKSvIsHzJkiG688UY9/fTTWrx4cbVjZmdnKysry/O8rKxMUVFRSktLu2wB/c3tdsvlcik1NdVzRAs/HPWsn/icTTUucwYazUms1Kw9gSqvrPln9GNnRsMmkf1Vw9a/QtRWS6lu9WxwLSVb1JP3Zv205Pdm1RmcurAsALVv315BQUEqLS31aj9+/LgiIiKqXScyMrLa/sHBwWrXrl216wQGBmrgwIE6ePBgjXNxOp1yOp0+7Q6Hw7I/mlZuuyWinnVTXlHzHw9Pn8qAWvs5Kht4x2ULeZ3qUkup9no2uJaSrerJe7NuWvJ7sz6/5y27CywkJEQJCQlyuVxe7S6Xy+uU2PclJyf79C8sLFRiYmKNO22M0f79+9WpUyf/TBwAADR7lt4Gn5WVpT/84Q96/vnn9emnn2r69OkqLi7W5MmTJV08NTVhwgRP/8mTJ+uLL75QVlaWPv30Uz3//PNasWKFHnnkEU+f3Nxcbdq0SZ9//rn279+vjIwM7d+/3zMmAACApdcAjRs3TidOnNDs2bNVUlKi+Ph4FRQUKDo6WpJUUlLi9ZlAMTExKigo0PTp0/XMM8+oc+fOWrx4sdct8CdPntSkSZNUWlqqNm3aaMCAAdq6dasGDRrU5PsHAACuTJZfBJ2ZmanMzMxql61atcqnbdiwYfroo49qHG/hwoVauHChv6YHAABaIMu/CgMAAKCpEYAAAIDtEIAAAIDtEIAAAIDtEIAAAIDtEIAAAIDtEIAAAIDtEIAAAIDtWP5BiIDlctr4YYxTDR8DANBkOAIEAABshwAEAABshwAEAABshwAEAABsh4ug0ax1n/F2rcudQUZPDZLiczapvCKg2j5HQhtjZgCAKxlHgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO0QgAAAgO1YHoCWLFmimJgYhYaGKiEhQdu2bau1//vvv6+EhASFhobq2muv1bJly3z6rF+/XnFxcXI6nYqLi9OGDRsaa/oAAKAZCrZy4/n5+Zo2bZqWLFmiIUOG6Nlnn9WoUaP017/+Vd26dfPpf/jwYd122236xS9+oZdeekkffPCBMjMz1aFDB919992SpKKiIo0bN05z5szRXXfdpQ0bNmjs2LHavn27Bg8e3NS72Hhy2jRw/VP+mQcAAM2QpUeAFixYoIyMDE2cOFF9+vRRXl6eoqKitHTp0mr7L1u2TN26dVNeXp769OmjiRMn6v7779f8+fM9ffLy8pSamqrs7GzFxsYqOztbI0aMUF5eXhPtFQAAuNJZdgTo/Pnz2rt3r2bMmOHVnpaWph07dlS7TlFRkdLS0rzaRo4cqRUrVsjtdsvhcKioqEjTp0/36XMlBaDuM96ucZkzyOipQVJ8ziaVVwTU2O9IaGPMDAAAe7AsAH377beqqKhQRESEV3tERIRKS0urXae0tLTa/hcuXNC3336rTp061dinpjElqby8XOXl5Z7np05dPD30t7/9TW63u177VRfBF76reVml0dmzlQp2B6qisuYAdOJ8SMMmceJEw9a/QtRWS6lu9WxwLSVb1JP3Zv3w3vQv3pv+05Lfm6dPn5YkGWMu29fSa4AkKSDAu7jGGJ+2y/W/tL2+Y86bN0+5ubk+7TExMTVPvBGNr0Of9g3dyLwGj9BsXK6efqmETerJe9O/eG/6D+9N/2ru783Tp0+rTZvar5W1LAC1b99eQUFBPkdmjh8/7nMEp0pkZGS1/YODg9WuXbta+9Q0piRlZ2crKyvL87yyslJ/+9vf1K5du1qDU2MoKytTVFSUvvzyS4WHhzfptlsi6uk/1NK/qKf/UEv/as71NMbo9OnT6ty582X7WhaAQkJClJCQIJfLpbvuusvT7nK5NHr06GrXSU5O1ptvvunVVlhYqMTERDkcDk8fl8vldR1QYWGhUlJSapyL0+mU0+n0avunf/qn+u6SX4WHhze7N96VjHr6D7X0L+rpP9TSv5prPS935KeKpafAsrKylJ6ersTERCUnJ2v58uUqLi7W5MmTJV08MnP06FGtXr1akjR58mT913/9l7KysvSLX/xCRUVFWrFihdauXesZc+rUqbrpppv05JNPavTo0dq4caM2b96s7du3W7KPAADgymNpABo3bpxOnDih2bNnq6SkRPHx8SooKFB0dLQkqaSkRMXFxZ7+MTExKigo0PTp0/XMM8+oc+fOWrx4seczgCQpJSVF69at06OPPqpZs2apR48eys/Pb1mfAQQAABrE8ougMzMzlZmZWe2yVatW+bQNGzZMH330Ua1jjhkzRmPGjPHH9Jqc0+nUY4895nNKDj8M9fQfaulf1NN/qKV/2aWeAaYu94oBAAC0IJZ/FxgAAEBTIwABAADbIQABAADbIQABAADbIQBdIbZu3ao777xTnTt3VkBAgF5//XWrp9RszZs3TwMHDtTVV1+tjh076qc//ak+++wzq6fVbC1dulT9+vXzfChacnKy/vu//9vqabUI8+bNU0BAgKZNm2b1VJqlnJwcBQQEeD0iIyOtnlazdfToUd1zzz1q166dwsLC1L9/f+3du9fqaTUaAtAV4rvvvtMNN9yg//qv/7J6Ks3e+++/rylTpmjnzp1yuVy6cOGC0tLS9N13tX8BIKrXtWtXPfHEE9qzZ4/27NmjW265RaNHj9Ynn3xi9dSatd27d2v58uXq16+f1VNp1q6//nqVlJR4Hn/5y1+snlKz9Pe//11DhgyRw+HQf//3f+uvf/2rfv/731v+rQiNyfLPAcJFo0aN0qhRo6yeRovwzjvveD1fuXKlOnbsqL179+qmm26yaFbN15133un1/Le//a2WLl2qnTt36vrrr7doVs3bmTNn9K//+q967rnn9Pjjj1s9nWYtODiYoz5+8OSTTyoqKkorV670tHXv3t26CTUBjgChxTt16pQkqW3bthbPpPmrqKjQunXr9N133yk5Odnq6TRbU6ZM0e23365bb73V6qk0ewcPHlTnzp0VExOjf/mXf9Hnn39u9ZSapTfeeEOJiYn653/+Z3Xs2FEDBgzQc889Z/W0GhUBCC2aMUZZWVn60Y9+pPj4eKun02z95S9/0VVXXSWn06nJkydrw4YNiouLs3pazdK6dev00Ucfad68eVZPpdkbPHiwVq9erU2bNum5555TaWmpUlJSdOLECaun1ux8/vnnWrp0qXr27KlNmzZp8uTJ+uUvf+n5Ls6WiFNgaNEeeugh/fnPf+bLcBuod+/e2r9/v06ePKn169fr3nvv1fvvv08Iqqcvv/xSU6dOVWFhoUJDQ62eTrP3/csG+vbtq+TkZPXo0UMvvPCCsrKyLJxZ81NZWanExETNnTtXkjRgwAB98sknWrp0qSZMmGDx7BoHR4DQYj388MN644039N5776lr165WT6dZCwkJ0XXXXafExETNmzdPN9xwgxYtWmT1tJqdvXv36vjx40pISFBwcLCCg4P1/vvva/HixQoODlZFRYXVU2zWWrdurb59++rgwYNWT6XZ6dSpk8//0PTp08frC8lbGo4AocUxxujhhx/Whg0btGXLFsXExFg9pRbHGKPy8nKrp9HsjBgxwucupX/7t39TbGys/uM//kNBQUEWzaxlKC8v16effqqhQ4daPZVmZ8iQIT4fF/K///u/io6OtmhGjY8AdIU4c+aMDh065Hl++PBh7d+/X23btlW3bt0snFnzM2XKFK1Zs0YbN27U1VdfrdLSUklSmzZt1KpVK4tn1/z85je/0ahRoxQVFaXTp09r3bp12rJli8/ddri8q6++2udatNatW6tdu3Zco/YDPPLII7rzzjvVrVs3HT9+XI8//rjKysp07733Wj21Zmf69OlKSUnR3LlzNXbsWH344Ydavny5li9fbvXUGo/BFeG9994zknwe9957r9VTa3aqq6Mks3LlSqun1izdf//9Jjo62oSEhJgOHTqYESNGmMLCQqun1WIMGzbMTJ061eppNEvjxo0znTp1Mg6Hw3Tu3Nn87Gc/M5988onV02q23nzzTRMfH2+cTqeJjY01y5cvt3pKjSrAGGMsyl4AAACW4CJoAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgALbwzTffKDIyUnPnzvW07dq1SyEhISosLLRwZgCswHeBAbCNgoIC/fSnP9WOHTsUGxurAQMG6Pbbb1deXp7VUwPQxAhAAGxlypQp2rx5swYOHKgDBw5o9+7dCg0NtXpaAJoYAQiArfzjH/9QfHy8vvzyS+3Zs0f9+vWzekoALMA1QABs5fPPP9exY8dUWVmpL774wurpALAIR4AA2Mb58+c1aNAg9e/fX7GxsVqwYIH+8pe/KCIiwuqpAWhiBCAAtvHv//7vevXVV3XgwAFdddVVGj58uK6++mq99dZbVk8NQBPjFBgAW9iyZYvy8vL04osvKjw8XIGBgXrxxRe1fft2LV261OrpAWhiHAECAAC2wxEgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgOwQgAABgO/8P2ZChq8c0Vq4AAAAASUVORK5CYII=",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"def test_max_3_de(N):\n",
|
|
" Z = np.zeros(N)\n",
|
|
" for i in range(N):\n",
|
|
" Z[i] = max3de()\n",
|
|
" card = plt.hist(Z, [1, 2, 3, 4, 5, 6, 7])\n",
|
|
" width = 0.1\n",
|
|
" \n",
|
|
" plt.clf()\n",
|
|
" plt.figure()\n",
|
|
" plt.grid()\n",
|
|
" plt.title(\"Diagramme en bâtons de la loi\")\n",
|
|
" plt.xlabel('x')\n",
|
|
" plt.ylabel('y')\n",
|
|
" plt.bar(range(1,7),card[0]/N,width = 0.2)\n",
|
|
" plt.bar(np.arange(1,7)+0.2,[(i**3-(i-1)**3)/6**3 for i in range(1,7)],width = 0.2)\n",
|
|
" plt.show()\n",
|
|
"\n",
|
|
" \n",
|
|
"test_max_3_de(10)\n",
|
|
"test_max_3_de(100)\n",
|
|
"test_max_3_de(1000)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 34,
|
|
"id": "a0307125-6436-4ead-8d9b-75e6ee8179d2",
|
|
"metadata": {
|
|
"tags": []
|
|
},
|
|
"outputs": [],
|
|
"source": [
|
|
"def showGraph(f, p, m):\n",
|
|
" n = 10000\n",
|
|
" card = np.zeros(m)\n",
|
|
" for i in range(n):\n",
|
|
" geom = f(p)\n",
|
|
" if geom <= m:\n",
|
|
" card[geom-1] += 1\n",
|
|
" \n",
|
|
" x = np.array(range(1, m+1))\n",
|
|
" y = [(1-p)**(k-1) * p for k in x]\n",
|
|
" width = 0.1\n",
|
|
" \n",
|
|
" fig = plt.figure()\n",
|
|
" plt.bar(x, y, width, align=\"center\", label=\"loi théorique\")\n",
|
|
" plt.bar(x+0.2, card/n, width, align=\"center\", label=\"mesure empirique\")\n",
|
|
" plt.xlabel(\"$e$\")\n",
|
|
" plt.ylabel(\"$p_e$\")\n",
|
|
" plt.title(f\"Diagramme de la loi géométrique $G({p})$.\")\n",
|
|
" plt.legend()\n",
|
|
" plt.show()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 35,
|
|
"id": "8da3c856-f908-4861-ac67-8a027211b1e1",
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
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"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
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]
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},
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"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"def geometrique1(p):\n",
|
|
" U = uniforme_continue(0, 1)\n",
|
|
" b = 0\n",
|
|
" k = 0\n",
|
|
" while b < U:\n",
|
|
" k += 1\n",
|
|
" b += p * (1-p)**(k-1)\n",
|
|
" return k\n",
|
|
"\n",
|
|
"m = 12\n",
|
|
"p = 0.2\n",
|
|
"showGraph(geometrique1, p, m)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 36,
|
|
"id": "c34cc7e0-8e47-495a-86bc-fcbc7d9a6d53",
|
|
"metadata": {
|
|
"tags": []
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"def geometrique2(p):\n",
|
|
" k = 1\n",
|
|
" while uniforme_continue(0, 1) > p:\n",
|
|
" k += 1\n",
|
|
" return k\n",
|
|
" \n",
|
|
"p = 0.3\n",
|
|
"m = 13\n",
|
|
"showGraph(geometrique2, p, m)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 37,
|
|
"id": "adb2551d-503b-419c-82e9-0996815e2924",
|
|
"metadata": {
|
|
"tags": []
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"def geometrique3(p):\n",
|
|
" return math.ceil(math.log(uniforme_continue(0, 1)) / math.log(1-p))\n",
|
|
" \n",
|
|
"p = 0.3\n",
|
|
"m = 12\n",
|
|
"showGraph(geometrique3, p, m)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 38,
|
|
"id": "ac8415ea-b15a-431a-824e-1aa6c23500ee",
|
|
"metadata": {
|
|
"tags": []
|
|
},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"def geometrique4(p):\n",
|
|
" return scs.geom.rvs(p) #np.random.geometric(p)\n",
|
|
"\n",
|
|
"p = 0.3\n",
|
|
"m = 12\n",
|
|
"showGraph(geometrique4, p, m)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 39,
|
|
"id": "e85886dc-d8bb-4652-976e-b060d93402a1",
|
|
"metadata": {
|
|
"tags": []
|
|
},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"La méthode 1 a pris 0.10540652275085449 secondes.\n",
|
|
"La méthode 2 a pris 0.11203813552856445 secondes.\n",
|
|
"La méthode 3 a pris 0.09955310821533203 secondes.\n",
|
|
"La méthode 4 a pris 3.5846686363220215 secondes.\n"
|
|
]
|
|
}
|
|
],
|
|
"source": [
|
|
"from time import time\n",
|
|
"\n",
|
|
"for index, f in enumerate([geometrique1, geometrique2, geometrique3, geometrique4]):\n",
|
|
" N = 100000\n",
|
|
" p = 0.5\n",
|
|
" t1 = time()\n",
|
|
" [f(p) for i in range(N)]\n",
|
|
" t2 = time()\n",
|
|
" temps1 = t2 - t1\n",
|
|
" print(f\"La méthode {index + 1} a pris {temps1} secondes.\")"
|
|
]
|
|
}
|
|
],
|
|
"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": "3.10.8"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 5
|
|
}
|