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@sslotin
Created February 17, 2018 16:35
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{
"cells": [
{
"cell_type": "code",
"execution_count": 83,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import random\n",
"import math\n",
"\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"\n",
"import seaborn as sns\n",
"sns.set()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<img src='https://upload.wikimedia.org/wikipedia/commons/d/d5/Hill_Climbing_with_Simulated_Annealing.gif'>"
]
},
{
"cell_type": "code",
"execution_count": 393,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def fitness(p):\n",
" s = 0\n",
" for i in range(len(p)):\n",
" d = 1\n",
" for j in range(i):\n",
" if abs(i-j) == abs(p[i]-p[j]):\n",
" d = 0\n",
" s += d\n",
" return s"
]
},
{
"cell_type": "code",
"execution_count": 394,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[31, 34, 32, 17, 29, 20, 22, 35, 6, 46, 2, 11, 5, 25, 10, 14, 0, 19, 21, 37, 40, 38, 44, 49, 47, 26, 1, 48, 9, 3, 15, 39, 41, 28, 23, 13, 33, 42, 24, 7, 27, 16, 12, 4, 45, 8, 36, 18, 30, 43] 48\n"
]
},
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x7fc0cde8d4a8>]"
]
},
"execution_count": 394,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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GBqjVaigUCpSXlyMlJcXhyWprnd9h2pxSGePX4jfGqYr6+us+aYuzffbn69LSWYFP2GlH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\nRBLFAE5EJFEM4EREEvX/AWbul9KmRj3QAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc0cdfa63c8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"n = 50\n",
"k = 5000\n",
"p = list(range(n))\n",
"\n",
"scores = []\n",
"\n",
"for i in range(k):\n",
" t = 1 - i/k\n",
" q = p[:]\n",
" a, b = random.sample(range(n), 2)\n",
" q[a], q[b] = q[b], q[a]\n",
" d = fitness(q) - fitness(p)\n",
" if d > 0 or random.random() < math.exp(d/t):\n",
" p = q[:]\n",
" scores += [fitness(q)]\n",
"\n",
"print(p, fitness(p))\n",
"plt.plot(scores)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"```c++\n",
"#include <bits/stdc++.h>\n",
"using namespace std;\n",
" \n",
"const int n = 200, k = 3e5;\n",
"\n",
"int f(vector<int> &p) {\n",
" bool a[2*n], b[2*n];\n",
" memset(a, 1, sizeof(a));\n",
" memset(b, 1, sizeof(b));\n",
" int n = (int) p.size();\n",
" int ans = 0;\n",
" for (int i = 0; i < n; i++) {\n",
" if (a[i-p[i]+n] && b[i+p[i]]) ans++;\n",
" a[i-p[i]+n] = b[i+p[i]] = 0;\n",
" }\n",
" return ans;\n",
"}\n",
" \n",
"double rnd() { return double(rand()) / RAND_MAX; }\n",
" \n",
"int main() {\n",
" \n",
" for (int i = 0; i < n; i++)\n",
" v[i] = i;\n",
" \n",
" int ans = 1;\n",
" \n",
" for (int i = 0; i < k; i++) {\n",
" double t = 1-double(i)/k;\n",
" vector<int> u = v;\n",
" swap(u[rand()%n], u[rand()%n]);\n",
" int val = f(u);\n",
" if (val > ans || rnd() < exp((val-ans)/t))\n",
" v = u, ans = val;\n",
" if (ans == n) break;\n",
" }\n",
" \n",
" for (int x : v)\n",
" cout << x+1 << \" \";\n",
" \n",
" return 0;\n",
"}\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<img src='https://camo.githubusercontent.com/711d6354060fee84ecb76b9b9aeb9f1515b08fec/68747470733a2f2f74342e667463646e2e6e65742f6a70672f30302f31372f34362f38312f3234305f465f31373436383134335f77593368734879664e596f4d644739426c4335364849344a4137704e753633682e6a7067'>"
]
},
{
"cell_type": "code",
"execution_count": 252,
"metadata": {},
"outputs": [],
"source": [
"n = 100\n",
"m = 10**9\n",
"k = random.randint(1, n*m//2)\n",
"w = [random.randint(1, m) for _ in range(n)]"
]
},
{
"cell_type": "code",
"execution_count": 244,
"metadata": {},
"outputs": [],
"source": [
"def fitness(l):\n",
" return abs(sum([w[i] for i, x in enumerate(l) if x])-k)"
]
},
{
"cell_type": "code",
"execution_count": 245,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def get_random_set():\n",
" return [random.choice([0, 1]) for _ in range(n)] "
]
},
{
"cell_type": "code",
"execution_count": 246,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def crossover(a, b):\n",
" return [random.choice([x, y]) for x, y in zip(a, b)]"
]
},
{
"cell_type": "code",
"execution_count": 247,
"metadata": {},
"outputs": [],
"source": [
"def mutation(l):\n",
" return [x if random.random() > mutation_chance else random.choice([0, 1]) for x in l]"
]
},
{
"cell_type": "code",
"execution_count": 267,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"pop_size = 100\n",
"mutation_chance = 0.02\n",
"epoch = 1000"
]
},
{
"cell_type": "code",
"execution_count": 268,
"metadata": {
"collapsed": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
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2vKwhla5pavFgzY6TAICPtp/E0keu0y2nEnWNrWhq9qBzpyQA0hwylbXN+HzXaUwb0wf1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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc0ce15b6d8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"population = [get_random_set() for _ in range(pop_size)]\n",
"\n",
"scores = []\n",
"for e in range(epoch):\n",
" population = sorted(population, key=lambda l: fitness(l))[:pop_size//4]\n",
" #print(len(population))\n",
" scores += [math.log(fitness(population[0]))]\n",
" new_population = [mutation(crossover(\n",
" random.choice(population),\n",
" random.choice(population)))\n",
" for _ in range(pop_size)]\n",
" population = new_population[:]\n",
"print(scores)\n",
"plt.plot(scores)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"```c++\n",
"#inclde <bits/stdc++.h>\n",
"\n",
"const int n = 1000;\n",
"\n",
"int main() {\n",
" int a[n] = {0};\n",
" while (1) {\n",
" for (size_t i = 0; i < N; ++i)\n",
" a[i] += ((rand() % 2 == 1) ? 1 : -1);\n",
" sort(a, a + n);\n",
" copy(a + N / 2, a + N, a);\n",
" cout << accumulate(a, a + N, 0) / N << endl;\n",
" }\n",
"}\n",
"```"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<img src='https://upload.wikimedia.org/wikipedia/commons/e/ea/K-means_convergence.gif'>"
]
},
{
"cell_type": "code",
"execution_count": 387,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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H3auVtJa9Mus+fkZTxppPfefwI/ZBxXk1tOcVBsph+2WfPnYG8ybNpyyvXPNeWQQLP71g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\nrkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc0cde8d860>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"clusters = 5\n",
"colors = ['red', 'green', 'blue', 'yellow', 'orange']\n",
"\n",
"sizes = np.random.randint(30, 100, clusters)\n",
"sigmas = 0.10+np.random.random(clusters)/5\n",
"\n",
"def gen():\n",
" means = np.random.random(clusters)\n",
" points = [np.random.normal(m, q, s) for m, q, s in zip(means, sigmas, sizes)]\n",
" return points\n",
" \n",
"xs = gen()\n",
"ys = gen()\n",
" \n",
"for i in range(clusters):\n",
" plt.scatter(xs[i], ys[i], c=colors[i])\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 388,
"metadata": {},
"outputs": [],
"source": [
"xs = np.concatenate(xs)\n",
"ys = np.concatenate(ys)\n",
"points = list(zip(xs, ys))"
]
},
{
"cell_type": "code",
"execution_count": 389,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"def dist(a, b):\n",
" return math.sqrt((a[0]-b[0])**2+(a[1]-b[1])**2)"
]
},
{
"cell_type": "code",
"execution_count": 392,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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F9PUlL8pKCkkx0akVQhoHVXsIEACQFQEhCrGZLiBvhpupvRKC0DRw5IgO99/P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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc0cdef6eb8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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PT64fPhGkOEhKdmY66hDUYPiEQ6ExAko0cr7mSJSscEOTSsKURZPCcUBLiwUb\nNmThzTdtaG4GSkvZqBiHlM99yZLo17TWFRjhykm0M3vwwT7DdishPz67vQGCx6Nf0pmEkT0EKADo\nREAhEJlz39zMgGXFAbunx6Iq/z6ZhVzJJDLA7fEwiJSmIAXLSbn+oddCLhm1wXIjg+xKdmaGBbEH\n/PvsE6tFWYkkSTob3kMgw6F1BCkidTZxYJg28HwRgMR/gMmuI4gc0GILuaQGtKH+/pTUB5BkptVc\nK1HuvtL3KXlWauWyjSBl3yGtI1B9LxI0RmAqODDMEQBaoqgBuFyLkJ8/Gfn5FyA/fzJcrkUAtEcD\nI33NWvPv5QKYZkRp1pTHw6ClJTnBcqOD7HKBbamdmVnqPhIiEVAeVnAcmKNHkpoNRScCU6B/EHe5\nFoNl18JqPQaLhYfVegwsuxYu19A1xI7EqEKuSJIxWCmvDxBjB1qvJRcsT0aQXWkxWSqyiygKSWHR\nHJ0ITID+QZyDwyGRV+3YCm07DPOSzMFKTX3Am2/Kr861qp4mQy1V6c7MsOyiFKxihztRKqwGNPqR\ng04EQ84JOByvEY8oHcQZpg0MI5FXzTSBYYZXXnUyUyHV1AckWp1rccnoeZ8S5HZmhrikBlaxOP98\nKv2ghxQXzdGJYMgIuYMuBsO0Es9QOojzfBF4XiKvmi8bCBwPD1JRpLZ8eR9uvtmP4mLRjWK1klfg\nSlbnWvV9UqELFIsRLqmw9ENjY9JXscOZVBfN0YlgiBh0B7XAIvH3pXwQZ+H3SxTy+GdBSfZQupDs\nIrVQltOOHTa0tTEYPZrHuecGiecqWZ1rDZYnO8hOiq/odklR6QfDSHXRHJ0IhgRpn34kagZxn28l\nOG4hgsFKCIIVwWAlOG4hfL6hz6s2MqibzG5jQLTbSRAsaG214uOPbRg/PoAxY6B5da41WG50kF0u\nvqLXJUWlHwwkRVXaIUyaxDe8kfPpCwLA8yXw++tUDuI2+Hyr4PMtU1VHkEySoTyazCI1ObdTZ6cF\nH30EHDniS0lPhmQh18VsxYo+XQ18QqtYUi8BKv2gnlQWzdGJYAgI+fStVsIfDF+C9vY9ALR2YWLB\n8wqbhCeZRIOO9usa320MSOx26uxU1i3MrCiVmtAsVU2lH4xFR7c4tVDX0JAg59Ovg/ZJwDwkM6ir\nxX+uxD1VUCCE5TRicToFFBaqs9NsRVlq4itaXVK+5SvBLVgIjBkDwWpNr2bzZk15TUHRHJ0Ihggz\n+/SNIBVGrOy/AAAgAElEQVTKo0oGKzU1B489Zkd3N9nm7m4GS5cqs8usRVnJjq8ACK9icfgwuZeA\nGaHdzuhEMHSIPv329v1ob/8Q7e374fOtwnDx1qVk0FGA0poDJdISmzcrWyyatRlPMusTSDdLF+mH\nVBZumRVDJoJdu3ahpqYG1dXVWL9+fdzxP//5z7jwwgtRV1eHuro6vPzyy+FjmzZtwowZMzBjxgxs\n2rTJCHPSjJBP3/x/MGpI6aAjgRr3lBJpCY8Had+MZyjqE0wNTXkFYMDyMxgM4uc//zk2btwIt9uN\nefPmYfr06Tj77LOjzps1axaWxuytT506haeeegqvvvoqLBYLrrrqKkyfPh15eXl6zaIAUKtEatx7\nRZIV1FWKGvllud4JIcrLYUgznqEMOMv1UDANKhRF9aIk5ZUfa47ki2Sie0dw4MABVFZWory8HHa7\nHbW1tdi5c6ei9+7ZswdTp07FyJEjkZeXh6lTp2L37t16TaLoErEzTsV0qJVH1binlEhL1NUlHpfM\n4hJLRDJEAHUzBL562u1MRPdE4PV6UVQ0+LDcbje8Xm/cedu3b8ecOXPwk5/8BK2trareS1GHHhG7\nZKiYDtWgo9Y9FXKblJUFAYSkJQbdJ6tX67vn5ZebtxmPGRgSX32KC7fMSkrWZt/73vcwe/Zs2O12\nvPTSS1i0aBH+53/+R/P1Ro1iYbPJt1KUasAwlKTGJg7AVuIRlm0Ay65GrKtn0C71700Wok0cgFYA\nxZrv+/TTgNMpBno9HtG9U1cHrF7tgM0W3/hl3TrRLdzaCuTlAZ2dQHGxFSxrjbBL2T1few04dgxg\nGCAYBN56y4GVKx1YvdrYJBoz/tYBlXZxHLBN4re3vQHsE6sNGZSJNj39JOC0x/1I2NWrwaZo+zrU\n36HuT+l2u9HWNlg67vV64Xa7o84ZNWpU+L+vueYa/PKXvwy/9/3334967+TJkxPes6NDPoBjxk5E\nqbKJYY4gP99D1C8SBA/a2z+PKjiLtEvte5NFYaETHPcTOBz1YJgm8HwZ/P7agdRa6Z+sVH/fxYuB\nu++OPtbRIW/DiBFilfeIEYDPJ/5PzXe4eDFw+rQdzz3nQHBAquirr4A1a4DTp/247bZ+Q/oXm/G3\nDkjYJeP7Z44eQb7HA1IoXvB4xLaXOn31ss9q8X8Ddz8QbV9Hj677GWJXEu5FQrdraMKECWhsbITH\n40FfXx/q6+sxffr0qHOOHz8e/u+33noLZ511FgDg4osvxp49e9DZ2YnOzk7s2bMHF198sV6TMho9\nSqTmUTG9T5V7Sknevl73FMcBX36pPImE48R+BSR+/3u7qvoCs9YlKEaB798QX73egrA0Snk1Gt07\nApvNhqVLl2L+/PkIBoO4+uqrUVVVhTVr1mD8+PG47LLL8Pzzz+Ott96C1WpFXl4efvGLXwAARo4c\niR/96EeYN28eAOD222/HyJEj9ZqU4YhVyyxLKPNPKGKn571GwQGQ7s/g8y2LsyNZUhZArF4SUFrK\nKtJL8notA43v4wkGLarslPt869ap/USpJyxNPUDI9w9ALDYD9MlTBAJwLV8MR0M9mOYm8KVl8M+s\nFauZzVzIZiJo8/oUkVqbAnC5FsPh2BrhWplFdK3E26X8vcmAYY6goOACAPGZN4JgRXv7h1HuqVBj\n9hMn/CgubkVrazF6esRBw4jG7Fqbz588CYwfnxMe9OWQszNR4/lPP7XC5zPXbx2I+F1xHPIvmUwU\noguWV6J99/7BQT48oBNE1mQGdNeSRcQJhFuwcHCigTnHBWCYuIYoZkRP1bLS93JgmCMwug2m6H6q\nkDgW757yeoO49957cPjw+fjss3Nw+PD5ePzxu2C1BnRLWegpDuvqsoRjA4kg2RnSKfrqK/m6hFZy\nTyPToEqaekCeon33fuXyFLQgzBDovmlYo0eJVOq9oR2DukCumvsCdQDWxB0huafOPfdBTJ48uBoc\nO7YRd98tvveJJ36VMG9fKsAM6CsOc7sFlJXxaGqSz24DousLYqW7S0p4sKyA7u74Ca2khEdxsRU+\nX8JbDBmapKlDvnoF0IIwY6A7AooqjKszkNtRrFYoyMchJ4e8Gqyr24x///cuSbeQkgCsnuIwlgVm\nzVIWzY2saYjVKWpqskoK4aVKqkMXSc7TpwVhxkAnAooKpDurORxbocxNpKRyWZl7Sq7BT2WlB0uX\nxq9CQ6xcGcCOHU04ccIvKQynVy8pVtenrCyI8eMDkjo/cq6onBwepaXpqQ8UkqYOllcaL01NC8IM\ngQaLU4QZbQLU2SXWGVwAi0VZIJeEy7WImJUkrvhXqbSJQ37+ZGKDn2CwEu3t+xGf6RSA3b4YnZ0N\nKCk5Bo+nAq+9Vof771+NYNAWF7iNdNW0tFhRUhJU3WUt1v0k5Y46etSCKVNc4Pl4N5DVKuCtt3zI\nzsawrCPQhcIgc1o9qyTeiwSNEVAUI99ZTUmdgfyOgpQaKo/6dNeQayukaxgZU7jnnl/H+f4jRdoC\ngVzYbOqzkEI1DKEAsNstEGMLcsJ3JSU8KiuNlemQi48kBRW+f1WksJPXcIW6higqkOuslrjOQM6V\nwzBNYBj1zc3VNfiRnojq6jbD6eQkff8sC5x1FsIrejWdx5QWhKVKujvtC9SkyOCCML3QHYFq9Msz\npzOhAZZcZyCPth1FouctxhN8vmUJvxe5iai83IPi4lZcfnlZwgBzKKOntJSPcxORVtlqCt7USndH\n7jKUjn/JLMCjpCd0R6AY4+SZ05vYQO7b6Om5DYCSAUTNjsL45y0nodHaWo6ZM/NlA7D33QfJzmNS\nq+yuLnW1CEqlu0P3O/98qFrVm71xDmVooDsChYR8yyFCaZMAwkHOzMIOp3Od6noCpTsK5c9bTV2D\ndEwhL28mli2TF7R7jax8gYYGG/r7gY0b41fZXV3QVIsQiitIEb2qtyhe1cvVRng8DJqbLaiqEu8r\nFUNIeWyBknTojkARRqRNDi+01xMoSQ1V/rzV2iEVU+jrk3dtidpB5GPNzQzeeIM8iezebUNJibGN\narSu6jkO6O2FpD2ABRs2ZEnubnp7h2lsgUJ3BEpQEuRMhTyzeTAi+0eu6rlV4fOWtiM7+wX4fIsB\njIg5ojymEInbLaCiAmhsJB3j4fUycDq5OL2jtjYGV13Vj5dfjs8EqqnRFgBWW/EcW63sdEpPPjt2\n2GCxAM89F7+72bfPikOHbHGvAzS2kO7QHYECzCPPbA6Skf0TTbGi5y1vx2nk5Pw05tXIaubQRKRs\nJGZZsaENidraXqxbdxdR76ikhIfLZWypjtqK59hqZZ9P+s/e42EkdxuffEKWy6CxhfSHTgSK0Jc2\nOdxI/sSo7HmLdpRIXsVu3w1x0FcSeE4sord6NaIqhUMVvk88cT/mz38SY8c2wmbjw7UJv/zlfaiu\nDmDnTvLAum2btgFUTZqpnBuJBMOIuxgSUiJ6esX9KEMPdQ0pRE/a5PBDOuja1zfVkDsoe94s+vqm\nwel8kXgNhmkBw7TB6VwnE3heqTjYHFlcNhgs5eB0kt1T3//+azhy5EH87neFxOOJhOvkCGU3bd/u\ngMcjSKaZyrmRSPA8UFzMo7U1fvVvtZInA62xDop5oBOBYrT5locrsQO1ILAABGRn/xF2+x4NiqSR\n9QK5UPq8u7sfg8PxOhimO+6YuDsZkSDwHADL/jb8mpJssMiMHjn31BlnNKGvrxWlpQWS1cJqBtDY\nbJ0VK/rwxBMOHDrkk8zgkatWjsVp53DBN5owflIh1j07Ku74uHHBqBhBiLQQv6PIQl1DqlHnWx6+\nDGb/9PZeC4Y5DYbphsUiqFQkjXfbAHdBdNsoKd4bgd7eG4lH/P5ZYJgumTiCR2c2GAegBzxfSjzK\n82Ww24t0VwvLVQInasEp50YKYWUCePz7d+HwqvPx7k/H4amZE/Hmo3dgTKU/ygW2dWsP0TWmSPwu\nyIHhjgBBA4MJybhmhkJ3BGmHlsrm5FZD2+17iK8rySAi1QsAazBy5FtgmM4Bd00p+vouQXf3Y4jP\nAkrkRuqTqWYukgxsy2eDRdYueCAITuI1QvEMtdXCsehtVUm6f02NODls22bDvZfeizuveDLC8GO4\nvPwp/GNjEJ+5HovabcS7xhLcnA/A9fliOI7Xg+ltAp9dBv/oWviqVgKMxuEnGdfMcKj6aIrQb5OW\nhjCJ36PXLob5F/Lzvw0LIVaYWJFUWj2UBM/noLf3RpnPTJ7wpBVP58Ph2K5YvTT0rKSuJwhZAHjJ\n9p5aCrF0t6oMcmD8beAdReD8bNz9e05zGP3BZGQHCM8guxLtF+0HrOoXD+Fn9dkisMcIz75iIXzn\naivE1HpNM44LgDnUR6lrKE3QUsBlXBMZaZzOdcRJAEicQSTnXyef3w2WXYucnB+D7LYhu+2kheke\n05ANJl27YLH0o7d3nmT/hERuHBKJagYkW1XyAbg+W4T8fZORv/cC5O+bjELPIoyt7I+6v8vaBkdA\nwnXW2wTGryMVOMjBcVzC9XZ8qzaXTjKuSaETQXqgpbI5FdXQHByObZJH/f5qyLmF5NJQ5cjOfhH5\n+ZNUaA9JVzOrUy8NTV4SJcYIpawaR6KageJi8vtcny8Ge2wtrL3HYAEPa+8xsMfWwvV59CKAdxSB\nz5ZIBc4uA+/QngrM+NvA9Bo7ySTjmhSDJoJdu3ahpqYG1dXVWL9+fdzxjRs3YtasWZgzZw5uuukm\nNDc3h4+NGzcOdXV1qKurww9/+EMjzBl2aCngUvcebY3o5e4hCBb09CxMcAUWfn+NqnsCgMUCWK0e\nDbsb0o5BWTe0EOLkJbfL8RpQUBdhsRZpajWrZisL/2iJXdHoWcrcQhJB22RMMsmcuDIZ3RNBMBjE\nz3/+c2zYsAH19fXYsmULvvjii6hzxo0bh1dffRV/+ctfUFNTg1/+8pfhY9nZ2di8eTM2b96MZ555\nRq85wxItBVzK3hMAcJdmhU/5e1RIZtOIiNlCDscbEAQxniAIFgSDFQAmKro/oGd3Ezv5Kc0Gky52\nA5JTaR7b8jJRto7aVbOvaiW4ioUIZldCgBXB7ErR316VoEaG4H5yfbYI4Ad+P1YW/sKZxLf6C6/Q\nFHswZOKixKF7Ijhw4AAqKytRXl4Ou92O2tpa7Ny5M+qcCy+8EE6nmFkxceJEtLXR7Zs6tFQ2J36P\nuJpeoyOGoL3iejB+4YHFAlgsQVgsAvz+GQD+Bo5bCJ4nB7YiUS9poV/e2ud7DP39E4jHklFprlSa\nOgTvKALvkEhpdZTGr5oZG3znrkL7RfvRPvVDtF+0Xwy6JsjAUeR+kkpF0ZGionniokiiO9fK6/Wi\nqGjwh+V2u3HgwAHJ81955RVMmzYt/G+/34+rrroKNpsNCxYswOWXX57wnqNGsbDZ5AtkpKLjQ4k+\nm54EYAewGYAHQDmAOrDsarCs1Nco954+AFuJ72LZBrDsaigb0LTYxcnceweAPrDsbwA8CuAnAHYC\nIK9wLZZyFBRUKbQVEGsU4quMWdYO4NcJ3z34HX4E4E4ArwNohbLPrZ/KSjmbQuQCzgLAHx/LsDrz\nUVjklrh6LgCpYzEEOOCkxHd4sgEIcCgcZQU63iCf07EN7KjHAZvGSdP9G9GGnlZYncVgbayiX4AZ\nxwVg6O1KadLt5s2bcejQIbzwwgvh195++2243W54PB7cdNNNOOecc1BRUSF7nY4OeVeAGdPEjLHp\nvwE8EJMi2RNxnJQ+SX6P2IjeI5H26UF7++cqFFUT2RVNontbLK34+uvRACwA/h8ADjk59xClJDhu\nJny+IAClze43wUpYQwSDr6G9/QHITSjx3+GjAJYq/tzJgPi76u9CwekviNv9YM8JtLd5dbtQGO4I\n8n0ekBLGBJ8Hlp5WnGzvlj2nvflz8Kxe1d7RQK+y79+M4wIwTNJH3W53lKvH6/XC7Y5fVezbtw/P\nPPMM1q5dC7vdHvV+ACgvL8fkyZPx8ccf6zVpmEPyZSdyd8S/R59wHCm4rLziOtG9gdhUGBbd3U8R\nsnvmo6dnPpTGCOQD6B6NQd4UVporrKTN+eynYILxkhsAwPibkPPJPYN+fI33TRS0hbOYBnbTCN0T\nwYQJE9DY2AiPx4O+vj7U19dj+vTpUed8/PHHWLp0KdauXYuCgoLw652dnejrEwNe7e3t+Oijj3D2\n2WfrNSnj0FYvoMa/Hxr4uwxqH6klthCZ3bMffv8MOBzbkZ8/SbEd8mqlFjidTye8xpCQKCgbSZCD\nvV06hdUCwNn6Ylwaqer7Jgra2lj1gV0qGTFk6HYN2Ww2LF26FPPnz0cwGMTVV1+NqqoqrFmzBuPH\nj8dll12Gxx57DBzH4c477wQAFBcX45lnnsGXX36JZcuWwWKxQBAE3HrrrXQiUI32JjE+30qwrB3B\n4GsEaQYODNM00I5yW1hYLlLcTU+7TjlZCPmCKxZO57OqheLEXdPDsFhOEY9aLMGBa9pM13o0FJQN\nEQrKAhB95REwPc1gCLGBWBzHt8J39jJZF5HcfX3nrgoHZx3Ht0ZIPcyCr2pl+BfnO3MxLP2dsHfs\nBtPbEnVOGCoZMeRQiYkUkSybRH/7BbBY4ouOEks8hOzyRvi57RGyFMckq4YjCQZL0N6+B8AZGj5B\nfFxD/llJy1KQZCFCSMlCqLnGkPyughzy902GtZcsAWH994/xdcegNrTr8E/Atvwu4WUFWNE+9UNp\nH32C+0ZJT4RkLGwjwAS6wDuKUDi6ANy+nwwO7o4S9OVPQ/e5jwFZ0XpRyZChIGHGcQEYJjGCzEJb\n4VUyMaZJzKCfO9rNpMwGhmlBfv5UzW4iNT52bd3RpHdNyq8xNCSqCUBPqzgQd38O1+E74Wx5XvG1\nnV89Jelesp36m/JaBIsdTs865O+/NOxCwhuTolNL/U2iS+qL5dHuHyoZYQrovksRWgTfUoV0kxj1\nOe3KB8xIxErfVs1uIjWEJj6ymih54lOjaRTqYcAwR0zRcyIUcCWtzHlHKayfPo58zxYwvceI2TlS\nWBAE27QBYLIGV91RLhoPpNaJsYFekgsJBHsBwNm0Ec6m58Lun56yWwbuFQ/T6xF3GroziyiJoDsC\nBaRCvE0PavVypFArAkfCOB0jKdQHmtVoGvH8COTnX6ozGG4gMgFXPisP+Pw3A6tueaT8v47jW4G+\nE2C4I3B9ek/EKl6ABeTelH0jLwTDHRVX6zIrehIWBKOKz5zH1kGwusg2W100syhFDPVyNg3QHowN\nvV90NVQlw7gBjOmeJrfajj6PhcXCEV1H8jr+xqC+baj0ronnc2GxcOGdQFbWwfAxPcFwIyEGZc+o\nhuOEtOCfUpjeY8jfdxGYfml3WPQkwiC77X+R3fa/EKw58BfOllzRK8Fx4g0gUZgyQkqbSkgkBxos\nToD2YGy0O8liqRgofjKDO2mQ2GeVKKgqCBa0t7+JkSNvhNUar4EsF2zVapM0ahruhL6P2MljMRjm\nRHgnIBeELix0pyaoJzXwRbzO+NuQv/cCWEBWJg0x+MdtlVzh64W35kjWLSRCgBUADwthzyKAQW/x\ndbB37DEkm4gGi6WDxeYZkUyKFp80EN95C2g0xeoyEeJE1Q+ncyMslviBQxSTGw+/f65BcQlAewc1\nVsXOQ3rXFIoJJA5CK5Rf0EqiNEorG/aXy8UOIhnctCVnEgCgSzeIzy4BBAFWf/yzF6wuOFsHq8lj\n01cpxkFjBAnRUvyUil4AycIGn+9x9PT8F/Fo6DMbE5fQLwAnj/IKaGOyr/ShtIcAANnYgQBAkIga\nCLBCAIOgo0TP+B2Fhfehp+haCBqGE/8ZV8DvniNxlGwhzSYyHjoRKEBb8xK1KY7mwudbleAzq9Px\nJyEVhAfu02m9lglGesLv65sa8a8kpRBrSKP0Va0EzrkTvDV6u28BiK6WEKcu2Iz2C/eAz5bX9FI6\nUfBZbnBj7gISuKlI1+8pv4WoJtpTdB0sUjIZtAGN4dCJQBFampcM7epSP0o/s1atHblU1c3QM9Bq\nzfKKnfB5Phc8n4Ps7D8iP38SgG8NSFoYv3vR1HmLsQETH4Fgy1N8Hz67DIGRkwD7GZI7CrX43bPB\ns2PBO9R1m7MAcHqeJcpgC7ZcyUwoqlNkPHQiUIX+5iXJ0KuXR+8KNjmiavKpqloF4AB9brnBya+3\n91owzGkwTDcsFgFWqwfAPwb6JyiZXNQ9d80CbT2tYPwtiu4BRGv8+KpWgiubPxCwjUdJXULQmg/f\nuY/JuqrkcJzYPrjbiYiByGVE+c+optlDBkMngiQRu7oExmjK7ddOsv3v+pDP7S/XvGsyyi2ntPdw\n/OSi8bkrFWiLFWZzFktPINZcBLPLpZu3MDb0VP4YuqK9thxAGOiUpuEypN2O3O5IANBTdqv6G1Fk\noVlDSSM6S6WgoGpANz81xGYtDfrf++HzPZ4yO6SRzu0H6qB1B6I1yyuSRA3qo8+NrpuQfu6Js8Xk\nRNzCGUXev4DxN4N3lIpB1ouehH90LVGrp7f0+/CdvUw2B593FEGwspL++ISf398cvr7jRIPq9/MO\nd9xuRy4jygLA2bQBvnG/0mQvhQydCJJOpGslVTnM0u4Rp3MjAIvqwG4ykCoME7ujaW3wol9yg+dH\nALBCScpl9OSipviQkDI74CsnDd6uT+8H61kXvp7V3yQO/g6bZMFZT+l80Ub2zPBOIlIYzgj3Ssht\nJbeKl8NfWBtvh5WF/4wZogQGAceJ7fAFOeoeMhA6EQxD5Nwj5pJbJuf26231qL7yOBqG6YLSvPvI\njCIlbimer0isWxXhKwcABDlkt/yBbMDR3wHliwcnkN4mOI+tg+PENlHTx1EKPmskmP5TA/LU4gTH\nO8rhd89GT+l8WII+RZ+VRMhtpbSuIZL+nAmS9QA95QvhbNpAjFOE3ElUg8g4aIxgGKJEW8dc9Qxy\nAWktwW59qa2Jnp8gADyfM5BR9FI4DsDzZyTMFpPNaJJozMJwR6VdN4HTYLq/EP/bysLZ9CzYpt9G\nqH56kNV9EFa/ZyCtNAgLAKvfI2r9eNaCzy5X9FwEADxsA3UKYkUxeD5ho5rYawSzisCVzcep77wr\nZj71nYDt5LtA34nB5+UslUxvpVlDxkMngmGJdNZSiOTUMxiZY29EsFtrxhOLvr5psmcwTPdARlHk\nYL4yQbYYyK4jHsj++AXk75sk0YFMPn+HPfak+B8qBeAAwHHiTfjPqFF0rgUAg8DAhAIwwW6wTevC\nBW/hegCHdH1Cb9F/4NT/eQ2+c1YAfAAj35uKM96twsiP5oj//95UINCrvrsZRRcZ7BrSKmuQHiSW\nijCynsEIme7I7yNXV9DVCLq7H4PD8XpUR7ZByPEDh2Mr2tv3hv871i3FMMfIrqOPAOZfpxGKIcVK\nKfDsGAjWHMldgb3jvbAOkVo/PdPbhJ7Sm2AJ+mBv3w3G3wTpumQy2U3Pw3fmYiBrRNhFVeg8Be4f\nj8JxYjsYv3fARZUH+6n3kP3Xi8RMp4AP1sDJiCsFkdV9ECP/dhlOTdkrHzynGEoGTgRm7i1gJLaB\n7CBLVFvHEPrqGaInUX2Ddvz3AcyGw7GFeLYyxVcjGIHe3hslsprI8QNxl3VCRtOIkNEUANBMtiCy\nnaR/9Gw4W18i39ffEg4uq/XTC1YWI/9xPRh/MwQrC4FhYeHVxQwYvhs5H98JruqhwSB0nhu+856E\nb2CCcn71NNimiPaiMjbauj8W3UT2MySD5xRjyTjXkLl6CyS/41liqQg1kNw198gO2ok+G+n7AH4j\nmb6ZSokOUi1If//5kp3bondZJLcUwWXXA0Bi3I3Mse8+d7XokyfdN+QzH8i2UQMTPD0QP+DBBLvB\n8D5Vu4EQ2cdfRf7eicjf+y24Prl30K01EEhWJ5kdhO304cF/hoLnVpY2uE8SGTYRmEUMLpXFXmoD\np9KTE3kS3aBj0JaTmSBXu6ZWoiP62QF/A8NIpwD7/TOQaKcSp1tlLwfvTDDAA0DWCPSW3ki+b4TP\nvKd8oXKNIAN3wKG4gdXfKq7835gUngy0uKwCOedGv8AH4PpsEfL3TZaIo1D0kFETgVnE4IZmV5Io\ncJpocpIbtCVaGvLugZx8iXfJykyQ3S+pl+gABp9dp6S9ggD09Nym4FoxE3PX39BbmHiAB0AUZ8M5\nd0b5zHn7KPD2YkWfypLMKvNT/4Drs5+KNsnIZ5CwABj50dVRg3xCZVa6U9CFIRPBrl27UFNTg+rq\naqxfvz7ueF9fH+666y5UV1fjmmuuQVPT4B/TunXrUF1djZqaGuzeraysXyvmEIMzy64kmkSTk/yg\nTVadFJvaXyq525H/PirAcbca5NKKRI87rljG3krF7TBFBidm0gAfJwcBEMXZ8O1fiymYoRXz/kvB\n9MU3DBoKwqqpVhb+M2aqem9W90FxxQ/IK7N66+H65F66U9CJ7okgGAzi5z//OTZs2ID6+nps2bIF\nX3zxRdQ5L7/8MkaMGIE333wTP/jBD7B69WoAwBdffIH6+nrU19djw4YNePjhhxEMJlOGYejF4Myy\nK4km8eQkN2hL+czFpvZyux2576MWPt+vdMlcR2NMOqru3w9p5UoY4H3nrpLuwhXpMx8gesU8iJyb\nSLCSu1UZBdPXNqgjJKgfmB1fbwFz+jAYrlFamdV/LLpuQq6HA0US3RPBgQMHUFlZifLyctjtdtTW\n1mLnzp1R57z11lu48sorAQA1NTV47733IAgCdu7cidraWtjtdpSXl6OyshIHDhzQa5IsRjV614o5\ndiXRKJucEtcmyOFwbAHDHEbsSpz0fQB3RnwfxqifGuWO0/z7ifVx752EnEM/BPq7Bs+JqChW5eaQ\nWTHzjhL0u8YRj/UWX4/+nAkDzWrEpFEeWRDAgGfIcYvwLa2Jpa/57HIxxhHkNOkQMf5W5P/1Ioz8\n+zwIktlC5FgSsYdDgLqPpNAdLfJ6vSgqGhy83G533GDu9XpRXCz6LW02G3Jzc9HR0QGv14t/+7d/\ni0tKqzQAABhuSURBVHqv1+tNeM9Ro1jYbOQfQAip3pwiv4E4ILXCai0Gy7JgU+B2Fm3KBXAlgDVx\nx63WuSgsTHI7RAIFBVUAKgA0xh2zWMoHjrMAngRgB7AJgAdq5CatVg8KCi4CUAlRVG41Bn9+0d8H\nwKKwUOOHIcIB2Eo8wrINA9pGyn4AhYWjoOn388FdQIQwnNXvgbP1RTi//gtw5n8BF4i7ZHx0H9C8\nGfAdA1wVQGmdeEymR2+hqxuQWDFb/V5YL38L+NeTQNPrQE8r4CoHSuvACjzQdDDibAEW9ANjboKF\nyQKOkLV+AMBK6OEdd07FXBSekQuc+CugoZGMZcAmUhvLwXPIHgRrb5P4XHLdopvoo/uAfZtRoOK5\nphL58Sr5mOMpqKSjQ35GV94MejTEoGTyxeCibVoGl6uPUHS0LCW2xNsVhMs1k5gzz3EzB1RTT0N0\nr/TB4RDAMGKdKalYTRoB4mSzBhzXR6gxEL+PwkIMPCtjiv4Y5gjy8z1EF5YgeNDe/jl4vijhveJ/\nVwp/P0EO+cc2kdeugdPAv9aA6xWlnKNURH2N4WNSmjyFhbn42peDfIn6gWB2Gdp7RgJjHgXKlw7m\n4wPI3zeZaFOw9S1A6JNYa4sIgdPENFMBAO8oh7ViLjiuF47Xx4Hp9QBgJNNSg7Z8WAPtMncT4a25\nELJGgultCQvrOU5sg7U3PmstmF2Gdl8O0Hsars8WqX6uqcQMzet1u4bcbjfa2gZne6/XC7fbHXdO\na6sYwAoEAjh9+jRGjRql6L3DE/1tHtWROECqxOUx6F4Rm7OomwSikQ+MG5teK++OK4XT+XRSU3mV\npE86vFvg8ErUYyTq0atUjiHC9WQ79beBAZpkbzOYvsQ7cwljcOpbLwMWBmzTugHfvSC5cu/PmYD2\nSz4FV3brQB9lRnKfaQlyODXxT4NxlHGPwz96NvHc8OfW0AI0E9E9EUyYMAGNjY3weDzo6+tDfX09\npk+fHnXO9OnTsWnTJgDAtm3bcOGFF8JisWD69Omor69HX18fPB4PGhsb8c1vflOvSWlEcrp/DaJm\nQE00OUkHlAXBCkFgBiaP28Bxt4UnFEHir1o+MH6fwem10vENns8Dy/42qam8StInRV1/cokxsVVl\nKOgcEAcyRZlH/V3IOfRD5O/9NkZ+VAfJtF97seSxRIi1D6OB5teIx8V4hBVBRwm4sltF4TlbNnzj\nfoX2qR+h/cJ9ki0v+ewysSVmRKCc+LnLbkVP2S0JZTdo7+NBdC9BbTYbli5divnz5yMYDOLqq69G\nVVUV1qxZg/Hjx+Oyyy7DvHnzcP/996O6uhp5eXl44oknAABVVVWYOXMmZs2aBavViqVLl8Jqlff9\nU5SjTfohNDlFI58+Cpw6tRmBwCSEJjWf72EwTCNGjpwHqzX+fdKBcQ4AeRDRIy9BlqauhsNBrng1\nVMpiYMVOah4TgneUiqf641fpUYVloQY1x+vFAc5VAVfBTPiqVkrLMQy8J7v5eTAKGtD0FXwX2a0v\nqv+cEFfiTKAL8Ek19hFw6oLNYt9kQh8CPvc8+N1ziM+KKDYX2cOhpxlOz9oBCe5nB9xHNeAdpYmf\na4ZjEQSpNZt5SeRPS6XPTSmpt4lDfv5kYqeuYLAS7e37IQZlldql7HqxuFyLJGIPC2MmI25gh9A7\nEFSOD0YKghXt7R8SJyrlDMYdGKYN+fkXwEIIfJLupes7DA/GL4AJxl+Dq1gIAMQBkKtYGPZlx/m7\nQ+eU3YqeytuJejyuT+6N0vmJRexZLIDPLhdF3c5cjPx9F8LaJz3xCxCVRO2n9scLwgl9KNx/oeiL\njyHoKMepb70Mnh0TbefA6p13FAEW+8BkRxCbkwnuSj2b/pwJyOo+GPd65HMdSswQI0jLYDElMcqa\npKgZULV1/krcJCZWdK4EgAukAKwx6bWDOx4j2loqJrRyPXMxcj776YDSZwtRUTM8ADrc8BfWDh6T\n8Xc7m56Ds2nDwGA+8J4gh5xP70F226sJzQuv0gcGYUvwlOz5gjUX3eeJ8tdxO5BgH1D4XeJEYAl0\nIH9AfdQ/uha+sx6G68tl4R1O+PWqlerE5mSeDRPoBFc2H2zHDgg+D1UxJUAngmFKMgY5bZ2/yF3I\nQsS7r6RXocYX/elva6marBHoHv9M9Ao4RkYCfL84MPpbRbE2RmxHKefvDgVjQwVVWe17YO05qsgV\nxGeXhV01UqvqWHqLbwjbHe4UFu6rvAXwewbErAcdDqEeBrF2Rq7W4yW4lS1W5GMBzeip/DHYi9ag\nvflzqmJKgE4Ew5ZkDHLyg3oie+J3INIBaJ7PhSCMBMO0qG41qQa9bS01E9uOcgDX54ujevVGDYxn\nL1MsM01yhUihJMNGGAge89ml8I+eTVxNh6qbQ1gU1JnYuj8mvh4pwa0EOQnucCzARn7mFDoRDGuS\nN8iRA8pqke+tzKGjYzsAZ5KbB+mZ3AxGVlNnM3xj708YdFaDAAsCOePhO+thAInTXCWDvAlsl0ei\nt4PavsQyAXna0SwxGaU+mnmkul5BHYnlNsYmOb02kmSn8iZG1r3hb0H+e1MBgQdXdhuCjgoVdd1k\nLBBEcbcvlwEYWFU7Sojn8vYiBHLPlxxQtUhNi0jIjWvI6FEs3keJg04EGcHQD3Jkhl4E0EzI1RtY\nAFj7WsF61gEMA39hjaYGMiQcx7cC/V1wffEwLAFykJjpa0H+/ksllT3VSk2H32cjaxZpWsWrFe+j\nhKETAWVISSw6l+ao0cmXqRCOxOHdAsfXZO0kAVb0u86XOEaG6W1Czmc/BXtsrWRw2QLIK3taWfgL\n1UlNi0bZxKpi0ipea48BgjorRR46VVKGmHgfvSi8pzev2hidIs3EFH5FpkXKrVBDbozspv8BI9E7\nmCEUR0XS9c3/gbN5Q0Qaagn6Rk2BvWMfUcCNzy6BvX2X4o8mGcjV4Ktigl+jp/J2+M75b0Idgbpn\nR9EOfaoUk2BMADq+LqFsoLfBSqTy5x6bQRObFikJY4Pv7GVwtL0O9JEnAjmXEJ9dBt5ZSqwylkoN\n7Rt1CbJbX1L0uYCIQK6jKErETovUNO8Y7LccCgzH2qn42VE0QycCyrBCm6yGwSQQOkuUFsn42zR3\nGZMSmQMGdxtxFbtnLoa9Y4+itFRATCF1fvUUHCe2h6/TN+piTcFiv3t2XIWxnmdH0QaNEaQ9elov\npoJU2meONqB6hc7kAq9y3pd+tiostka+uUQwNWuEothE2D5bHtimDVFdwZytL0o2j+GtOeAtroHm\nNwNS1UwOuPLb4jJ6FD872qPYUOiOIG0xhwtEmmTbFx8DMF5WQxuKipskKosByObEC0wOLDw5oGvj\njiB/3+TEPnVCMRtxt1B4BSAAjhNvDL52xgw4vn5D4pOTnVa9pTeKbiquEQj2AlYHeHYscWWf8Nll\nnQHXZ4to/MBg6JNLU0zhApEhefZJTzAp1Q6SQ6646Ywr4Pri4YQDmZQbx9LXAWcb2Z8fKzMBqPCp\nR6p4xkxQvuDDUTEBZ9Oz5PsHfegpvgH2jr2w9jYhGCMWx+eel9iOBIVhriMrafwgCdCJIC2Rd4EY\nJp+smeTZl2iCSbl2kARSAzkEXtlAJjUw93eJTd0VaAgZ5lOP2EHwjiIIVhYWwv0Fqwvd4x4HILbP\nbPflaLq3XCwj/68XEd9D4wf6oBNBGmIWF4gUybMv8QQzZNpBsZAGcojtIUlIDmSxbpysEegtvVGR\nzIQqmQaN6a5ErKzYK7hXYwqwxCTIcEcSxg+olpA26ESQhpjGBRJHyG8/Iin2KZ1gTKMdBEQN5EYN\nZJErZmuvqPJJagWpRqZBabor42+DJSiR1hr0GTsYx0yCimIvFE3QrKG0xGzSDLEtMS8Fz0tIB/hn\nAYCmTKLE2kSRA4H5ZDXksoFUDWSh7J8L9wJj/y8Exkk8TbFMg4q+vuJnKCeey2eXJ3cwVtqbmaIa\nOhGkKUqazetHWernYFP7wb6/WVkH0d8/Ica+2wDwOhrFm20CVInBA5nryErg6O/AxGQR8dZcVWJr\nqtJdh3gwpsJyyYG6htKWZMonq0n95OBwbCFehWE60d7+DhimCzxfBJfrYd2ZRKaJAWhEMhCqdiCT\n6x1gGynGGxT69tW6XAz7DFqQyW6iaIdOBGmPUdIMg6hJ/RT99mTtG4bxDEwCZ8K4TCIT9Q/QgkED\nWSLJ6qRq+adqME5Qa0EDw8ZBXUOUGNRV5/L8CEhpygPMwHFlgV51mC8GoAqdCpmGxRsG0ORySZbK\nJx+A67NFyN83Gfl7L0D+vsmS8tcUY9C1Izh16hTuvvtuNDc3o7S0FL/+9a+RlxcdJPzkk0+wfPly\ndHd3g2EYLFy4ELNmiQHDn/3sZ3j//feRm5sLAHj00Ucxbtw4PSZRdKI29ZNhuiDVZQoIDuwIzkhh\nptMQq46mCqM7cpnI5aJZsI+iGV07gvXr12PKlCnYvn07pkyZgvXr18edk52djVWrVqG+vh4bNmzA\nI488gq6urvDxn/70p9i8eTM2b95MJwEToC4zJ3S+RBYJXxFxfrIDvbGZS2oD0UkgyXo4vqqVwDl3\nGhs4HWotfxUZTBTj0DUR7Ny5E3PnzgUAzJ07Fzt27Ig7Z+zYsRgzZgwAwO12Iz8/H+3t7XpuS0kq\nagdsFn7/bInza6POT2amEylziWXXwuUiNFFJNqlybTA24Nu/Tm5HrhSLu+kV7KNowyIIgubWp9/+\n9rfxwQcfAAAEQcCkSZPC/yZx4MABLFq0CPX19WAYBj/72c/w97//HXa7HVOmTMF9990Hu92e8L6B\nQBA2m5RfmqKfAID7AGwG4AFQDqAOwGqQvYlqz+cAtAIohjHuGw7AeQC+IhwbA+CwQfdRyAd3Af9a\nE//6OXcC3/516uzQAx8AProPaN4M+I4BrgqgtA64YHVyxd0CHFB/PuBrjD/mGgPUHgZsw9jlN0Qk\n/EZ/8IMf4MSJE3Gv33XXXVH/tlgssFikW2YcP34c999/P1atWgWGETci99xzDwoLC9Hf34+HHnoI\n69evx49//OOERnd0yK9OCgtz8fXXejtcGYsZbQLk7PpvAA/E+Nt7ZK6k9vzREGML8fdW+6wY5gjy\n8z0g/fwEwYP29s8NyaxSZFeQQ/6xTcTwefDYa2gve8BQt0uyfldxTWx8jcC/1oDr7VPkp9djl6tg\nJlhffOyDK5gJXwf5N6OE9PsbTM69SCScCH73u99JHisoKMDx48cxevRoHD9+HPn5+cTzuru7cdtt\nt+Huu+/GxIkTw6+PHj0aAGC323HVVVfhueeeS2QOJaWoTU01PpVVCWaS3FDi2jB92uMQN4cZ0jqF\nDEVXjGD69Ol47bXXAACvvfYaLrvssrhz+vr6cPvtt6Ourg5XXHFF1LHjx48DEN1KO3bsQFVVlR5z\nKBmLeSqOjU7rHAoM89NrjS9INdCh/QaShq6JYMGCBdi7dy9mzJiBffv2YcGCBQCAgwcPYvFiMUjX\n0NCADz74AJs2bUJdXR3q6urwySefAADuu+8+zJkzB3PmzEFHRwcWLlyo8+NQMpXUSG4oYBjo4eie\nzPgA8MFd+oPlQ53BlEHoChYPFYn8aWb0BZrRJsCcdumzKXl1BIrtCks6E1wbBq9qUxYjGICrWJgw\nRqDnvcnEjL91IE1iBBRKejE0cYooTFScpRXNfnrafD4toRMBhZIs0lkPR+NkNiyC5RkI1RqiUCjS\nqPTTD4dgeSZCJwIKhWIcwyBYnolQ1xCFQjEUX9VKsNl2BI+9RusA0gQ6EVAoFGMJaSCVPZC2wfJM\ng04EFAolOaRzsDzDoDECCoVCyXDoREChUCgZDp0IKBQKJcOhEwGFQqFkOHQioFAolAyHTgQUCoWS\n4dCJgEKhUDKctJShplAoFIpx0B0BhUKhZDh0IqBQKJQMh04EFAqFkuHQiYBCoVAyHDoRUCgUSoZD\nJwIKhULJcOhEQKFQKBnOsJgITp06hZtvvhkzZszAzTffjM7OzrhzPvnkE1x77bWora3FnDlzsHXr\n1qTYsmvXLtTU1KC6uhrr16+PO97X14e77roL1dXVuOaaa9DURG70nUqbNm7ciFmzZmHOnDm46aab\n0NzcnHSblNgVYtu2bTj33HNx8OBBU9i0detWzJo1C7W1tbj33nuTbpMSu1paWnDjjTdi7ty5mDNn\nDt59992k2/TAAw9gypQpmD17NvG4IAhYsWIFqqurMWfOHBw+fHjIbXr99dcxZ84czJkzB9dddx0+\n/fTTpNukxK4QBw4cwHnnnYc33ngjJXaFEYYBq1atEtatWycIgiCsW7dOeOyxx+LOOXLkiHD06FFB\nEAShra1NmDp1qtDZ2WmoHYFAQLjsssuEY8eOCX6/X5gzZ47w+eefR53zwgsvCA899JAgCIKwZcsW\n4c477zTUBi02vffeewLHcYIgCMIf/vCHpNuk1C5BEITTp08LN9xwg3DNNdcIBw4cGHKbjh49KtTV\n1QmnTp0SBEEQTpw4kVSblNq1ZMkS4Q9/+IMgCILw+eefC9/73veSbtf7778vHDp0SKitrSUef+ed\nd4RbbrlF4Hle+Pvf/y7MmzdvyG368MMPw9/dO++8kxKblNglCOL3fOONNwrz588XGhoaUmJXiGGx\nI9i5cyfmzp0LAJg7dy527NgRd87YsWMxZswYAIDb7UZ+fj7a29sNtePAgQOorKxEeXk57HY7amtr\nsXPnzqhz3nrrLVx55ZUAgJqaGrz33nsQkljcrcSmCy+8EE6nEwAwceJEtLW1Jc0eNXYBwJo1a3Dr\nrbfC4XCYwqY//elP+M///E/k5eUBAAoKCkxhl8ViQXd3NwDg9OnTGD16dNLtmjRpUvg5kAj9XVos\nFkycOBFdXV04fvz4kNp0wQUXhI+n6reuxC4AeP7551FTU5OS31Qsw2IiOHnyZPiHX1hYiJMnT8qe\nf+DAAfT396OiosJQO7xeL4qKisL/drvd8Hq9cecUFxcDAGw2G3Jzc9HR0WGoHWptiuSVV17BtGnT\nkmaPGrsOHz6MtrY2XHrppUm3R6lNjY2NOHr0KK677jr8x3/8B3bt2mUKu3784x/jL3/5C6ZNm4YF\nCxZgyZIlSbcrEbF2FxUVyf72Uk2qfutK8Hq92LFjB66//vohuX/a9Cz+wf9v715CEtvjAI5/HS1o\nUVFBLxBq0SLoYbs2FWhStImoTRAxRBQRkkVFCzFaVOamWoRCLYQiWkgPStoJLnoSFCQRQWAEPSxS\n6AGK1SyGLrfb1HWGVCb/n5168HzBc87vnKPg9+9cX1+/eV6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"text/plain": [
"<matplotlib.figure.Figure at 0x7fc0ce464b70>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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8keE+vUN8ukk6D+YpOvccQOf+d9C554C4uId2Dhk+DcyIUEdAiULpTje0w5Uj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\nfr9tNZaWlv4XXQ0NDczOziKXy1Gr1eh0Op93/c7P3XFxce+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"text/plain": [
"<matplotlib.figure.Figure at 0x7fc0ce5b76d8>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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JsCwwdmykUz8ljdUTyENQguYKh0J9BJRIpGzN4chZ4QaVisMRe69UmEoSheOA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\nTgwCQRCEMPcDViXQVSKEfvgAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc0ce37d4e0>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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gdQ19CErQ3eEQSI6AEElwpxvMA4ghZ4cbdCpOZ+x7JSNUohWGAVpaTNiwIQPv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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc0cdd50c88>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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bSUpK4uzZs2RmZrJ7926ysrKora0lISEBgC1btpCTk+P1sCL+LNhmIdgWSvyo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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x7fc0cde53048>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"iterations = 5\n",
"scores = []\n",
"\n",
"centroids = [random.choice(points) for _ in range(clusters)]\n",
"\n",
"for i in range(iterations):\n",
" groups = [[] for c in range(clusters)]\n",
" for p in points:\n",
" best = 0\n",
" for c in range(clusters):\n",
" if dist(p, centroids[c]) < dist(p, centroids[best]):\n",
" best = c\n",
" groups[best] += [p]\n",
" s = 0\n",
" for c in range(clusters):\n",
" plt.scatter([p[0] for p in groups[c]], [p[1] for p in groups[c]], c=colors[c])\n",
" s += sum(dist(p, centroids[c]) for p in groups[c])\n",
" if len(groups[c]) > 0:\n",
" centroids[c] = sum(x for x, y in groups[c])/len(groups[c]), sum(y for x, y in groups[c])/len(groups[c])\n",
" plt.show()\n",
" scores += [s]\n",
"\n",
"plt.plot(scores)\n",
"plt.show()"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"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": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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