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@UmarZein
Created December 17, 2023 08:09
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Perbandingan Kompleksitas Waktu Algoritma Sorting
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"id": "1d2f6904-82e3-4a58-b2e2-28a9036a08fd",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"import random\n",
"import time"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "049d1ab6-862c-4abe-b335-64abe745ae6d",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"def bubble_sort(arr):\n",
" for i in range(len(arr)):\n",
" for j in range(len(arr)):\n",
" if arr[i]<arr[j]:\n",
" arr[i],arr[j]=arr[j],arr[i]\n",
" return arr"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "e1fd07c7-b777-4d7c-80fc-8e99ee27fc1a",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"def merge_sort(arr):\n",
" L = len(arr)\n",
" if L<=1:\n",
" return arr\n",
" \n",
" arr = arr.copy()\n",
" \n",
" M = arr.pop(L//2)\n",
" L = []\n",
" R = []\n",
" \n",
" for e in arr:\n",
" if e<M:\n",
" L.append(e)\n",
" else:\n",
" R.append(e)\n",
" \n",
" L = merge_sort(L)\n",
" R = merge_sort(R)\n",
" \n",
" A = L+[M]+R\n",
" \n",
" return A"
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "6972083c-f74b-4679-b67d-1b11d49ce3b6",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"def durasi_bubble_sort(arr):\n",
" START = time.time()\n",
" ret = bubble_sort(arr)\n",
" END = time.time() \n",
" DURATION = END - START\n",
" return DURATION"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "0ead8500-4932-4890-a058-76ca3f9f20bd",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"def durasi_merge_sort(arr):\n",
" START = time.time()\n",
" ret = merge_sort(arr)\n",
" END = time.time() \n",
" DURATION = END - START\n",
" return DURATION"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "d7c1b395-ae87-46ec-910f-d5d6d0b7bb08",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"def make_random_list(n):\n",
" L=list(range(n))\n",
" random.shuffle(L)\n",
" return L"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "e02b0130-0dac-4c97-9051-c3b4d05dc236",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"import pandas as pd"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "76333192-a827-4b00-b4e2-f6ef32e160cb",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"TRIALS=15"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "271310ef-2c28-4c89-8be7-101fdc6ab995",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|███████████████████████████████████████████████████████████████████████████████████████████████| 15/15 [00:07<00:00, 1.92it/s]\n"
]
}
],
"source": [
"from tqdm import tqdm\n",
"bubble_sort_durasi=[]\n",
"sizes=[]\n",
"for size in tqdm(range(100,1600,100)):\n",
" for trial in range(TRIALS):\n",
" L = make_random_list(size)\n",
" durasi = durasi_bubble_sort(L)\n",
" bubble_sort_durasi.append(durasi)\n",
" sizes.append(size)"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "1794c357-6e71-43ea-95ee-82add737dd71",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"bubble_sort_df = pd.DataFrame({\n",
" 'durasi':bubble_sort_durasi,\n",
"}, index=sizes)"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "0c520b9a-5f56-4f52-ac4d-abfe492b0afe",
"metadata": {
"tags": []
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|███████████████████████████████████████████████████████████████████████████████████████████████| 50/50 [00:28<00:00, 1.73it/s]\n"
]
}
],
"source": [
"merge_sort_durasi=[]\n",
"sizes=[]\n",
"for size in tqdm(range(1000,50001,1000)):\n",
" for trial in range(TRIALS):\n",
" L = make_random_list(size)\n",
" durasi = durasi_merge_sort(L)\n",
" merge_sort_durasi.append(durasi)\n",
" sizes.append(size)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "7906cab2-254c-4d67-a374-58f2c3d17bb8",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"merge_sort_df = pd.DataFrame({\n",
" 'durasi':merge_sort_durasi,\n",
"}, index=sizes)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "58ed5c99-73f2-434d-a9db-83348bb1d971",
"metadata": {
"tags": []
},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 48,
"id": "6bfc6516-87da-45be-b39b-2b25f94b12fa",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Bubble Sort')"
]
},
"execution_count": 48,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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VYMzJpWuARERE5ODwuGDe9WD4oPsowo8dxrGpMdhsFuwWCzabhWNTY4gLtwe8NI0AiYiIyMHx9XTI/xHC42HoNJw2C8O6JhPpsFBU4SIuws5JRyUG5TlACkAiIiLS/Hb+DF897H9/2kMQEQ9AamwYw45NprDCRXyEnZggjP6AApCIiIg0N58P5v0TvC44aih0Pa9207biKpZuKKS82kOk00pWejypsWEBL1HXAImIiEjzWvYsbFkK9ig441Ew+ad7r3Z7WbqhkILyGuxWMwXlNSzdUEi12xvwEjUCJCIiIs2neAt8do///Sl3QUzb2k2VLi9bi6ooKK/G4wWrBardPqpc3oBfB6QAJCIiIs3DMOD9CeAqh/Z9IPNvdTZbTJBXUkVhhYvU2DC2FVfh8RqYTYEvVQFIREREmseaN+DXBWCxw5kzwFz3ShuvAcnRTqxmE9VuH0lRDhIiHfiC8CAgBSARERE5cBUF8OEk//sBt0Di0fWahNsttG0VTpjNQlSYjbIqN/FRDsLsgb8NXhdBi4iIyIH76Fao2gVJXeHE8Q02cdosZKXHEx/lwOXxER/lICs9Xs8BEhERkcPQLx/7T3+ZzHDW/8Bi22PT1NgwhndrQ5XLS5jdEpTwAwpAIiIiciBqyuD9if73va+F1F773MVpC17w2U2nwERERKTpPr0HSrdCXEcYdHuwq9lvCkAiIiLSNDnf+B96CHDmf8EeHtx6GkEBSERERBrPXe2f7gIDjrsU0gcGu6JGUQASERGRxlv0byj4BSKTYMi/gl1NoykAiYiISOPk/QCL/+N/P/xhCIsLbj1NoAAkIiIi+8/n9Z/68nmg0xnQ5exgV9QkCkAiIiKy/755ArZ/D44YGP7vYFfTZApAIiIisn92bYTPf7/eZ8i9EN0muPUcAAUgERER2TfDgPfHg6cKOvaDXmOCXdEBUQASERGRfVv5Cmz4EqxO/zN/TKZgV3RAFIBERERCTLXby64KF9Vu7/7tULYDPr7N/37QbRB/xMErLkA0F5iIiEgI2VZcxdINhZRXe4h0WslKjyc1NmzvO314M1SXQJue0Pu6gNR5sGkESEREJERUu70s3VBISaWbVhF2SirdLN1QuPeRoHXvw4/vgsny+0zvLWPsRAFIREQkRFS6vJRXe0iMcuC0WUiMclBe7aHKtYcAVFUMH9zof3/iOGjTPWC1HmwKQCIiIiEi3G4h0mllZ1kN1W4vO8tqiHRaCbNbGt5hwZ1QngfxR8KASYEt9iBTABIREQkRTpuFrPR4YsJt7KpwERNuIys9HqetgQC0cRF8/3/+92fOAJszsMUeZC3jRJ6IiIjsl9TYMIZ3a0OVy0uY3dJw+HFVwns3+N9nXgkdTwxskQGgESAREZEQZOxt45fTYNcGiEqBU+4JVEkBpREgERGRELLP2+C3r4Dsx/zvz3gUnNHBKfQg0wiQiIhIiNjnbfBeN7z7TzB8cOy5cMxpwS34IFIAEhERCRH7vA1+yQzYsQbC4uC0h4Jb7EGmACQiIhIi9nobfMF6+PJBf8Oh0yAyMbjFHmQKQCIiIiFi923w4Q4LW4sqCXf4l50WE8y7Abw1cMRg6HFhsEs96BSAREREQt3y5yFnCdgi4Izph/1M7/tDAUhERCRE1F4EXeUmNtxOSZWb1WvXYiy409/g5DsgrkNwiwwQ3QYvIiISIipdXrYWVVFQXo3HC1azwSk5d2NylUNqJpzwj2CXGDAaARIREQkRFhPklVSRW1yNgUHqto9I37UIw2yDsx8D8x7mBGuBFIBERERChNeAcLuVSpeH3NztXFjof+Bhde8J0LpzkKsLLAUgERGREGExQaXLg91q4TrXc8T4StjhSMPVZ1ywSws4BSAREZEQ4R8BsnB02VKOL/kYHybmp03GZ7YHu7SAUwASEREJERYTlJQUc2XRDADetZ/BSuMozC3/rvd6FIBERERCRGV1NRfk/IskI5/tJPIfz0jySmqo2j0XWAhRABIREQkFXg8R71/DCTVLqMHGfyIm4LaGk19WRWmVO9jVBVzQA9DMmTNJS0vD6XSSkZHBokWL9tp+4cKFZGRk4HQ6SU9P58knn6zXZvr06RxzzDGEhYXRrl07JkyYQHV19cHqgoiIyKHN54W3ryZ6w/u4sXKnYxIrLcfisFlw2qwYRrALDLygBqA5c+Ywfvx4br/9dlasWEG/fv047bTTyMnJabD9xo0bGT58OP369WPFihXcdttt3HDDDbz11lu1bV555RVuvfVW7rrrLtatW8esWbOYM2cOkydPDlS3REREDh0+L7xzLfzwJobZylNJd7GYXlS7vbg9Ptq1Cic5xhnsKgPOZBjBy31ZWVn06tWLJ554onZd586dGTFiBNOmTavXftKkScybN49169bVrhs7diyrVq0iOzsbgOuvv55169bx2Wef1ba58cYb+fbbb/c5urRbaWkpMTExlJSUEB0d3dTuiYiIBJfPB/P+CStfBpMF17nP8VhuZ774KZ8ajxeH1cKgTq25dtCROG2H/0MQG/P3O2gjQC6Xi+XLlzNkyJA664cMGcKSJUsa3Cc7O7te+6FDh/Ldd9/hdvvPX5500kksX76cb7/9FoANGzYwf/58Tj/99D3WUlNTQ2lpaZ2XiIjIYc3ngw8m/B5+zHDes5SnD6fS5SHcZsZuMRNuM1Pp8lDlCr2LoIM2F1hBQQFer5ekpKQ665OSksjLy2twn7y8vAbbezweCgoKaNOmDRdeeCE7d+7kpJNOwjAMPB4P11xzDbfeeusea5k2bRr33HPPgXdKRETkUGAY8OHNsPwFf/g552noei6e0ip+2F5KUZWHxCgHO8tq+GF7KW5v6AWgoF8EbTLVffiAYRj11u2r/Z/Xf/nll9x3333MnDmT77//nrlz5/L+++9z77337vGYkydPpqSkpPa1ZcuWpnZHREQkuAwDPpoMy54FTHD2TOh+AQBlNV5MgGH42LKrEsPwYQIqakIvAAVtBCghIQGLxVJvtCc/P7/eKM9uycnJDba3Wq3Ex8cDcMcddzB69Gj+/ve/A9CtWzcqKir4xz/+we23347ZXD/zORwOHA5Hc3RLREQkeAwDFtwBS3+/tvas/0HPi2o3RzkslFV72FHmwmaG4ipw2KxEOA7/638aK2gjQHa7nYyMDBYsWFBn/YIFC+jbt2+D+/Tp06de+08++YTMzExsNhsAlZWV9UKOxWLBMAyCeL23iIjIwWUY8NlUWPI///IZ/4Feo+s0qXR5cXt9WMxgsZixmMHt9ekaoECbOHEio0ePJjMzkz59+vD000+Tk5PD2LFjAf+pqW3btvHiiy8C/ju+HnvsMSZOnMhVV11FdnY2s2bNYvbs2bXHPPPMM3n00Uc57rjjyMrK4tdff+WOO+7grLPOwmIJvYQrIiIh4stpsPhR//vh/4bMK+s1qXL7cNrMpCdEEGa3UuXy4PEZVLt9AS42+IIagEaNGkVhYSFTp04lNzeXrl27Mn/+fDp06ABAbm5unWcCpaWlMX/+fCZMmMDjjz9OSkoKM2bM4LzzzqttM2XKFEwmE1OmTGHbtm0kJiZy5plnct999wW8fyIiIgGx8GFY+KD//dBpcMJVDTZLiXHSMT6C3woqsPkMarwGRyRE6DlA4qfnAImIyGFj8X/g07v970+dCieO22vz5ZuLeH1ZDrsqXLSKsDPy+PZkdIg7+HUGQGP+fgd1BEhERCTUVLu9VLq8hNstB/7wwSWP/RF+Bt+xz/ADkNEhjiMTI2oDUEy4/cBqOEwpAImIiATItuIqlm4opLzaQ6TTSlZ6PKmxYU072DdPwie3+98PnAz9b9rvXWPCQzf47Bb05wCJiIiEgmq3l6UbCimpdNMqwk5JpZulGwqpdjfhDqxlz8JHk/zv+90EAyY1b7EhQAFIREQkACpdXsqr/U9gdtosJEY5KK9uwjQUy1+AD270vz9xHAyeAnt5gLA0TAFIREQkAMLtFiKdVnaW1VDt9rKzrIZIp5UweyOuA1rxCrw33v++93Vwyj0KP02kACQiIhIATpuFrPR4YsJt7KpwERNuIys9fv8vhF41B969DjDghKth6H0KPwdAF0GLiIgESGpsGMO7taHK5SWsMXeBrXkT3hkLGP4HHJ72oMLPAVIAEhERCSCnrZG3v699B+b+Awwf9BoDwx9R+GkGOgUmIiISQNVuL7sqXPt399dPH8BbfwPDCz0uhjP+Cw1M6i2NpxEgERGRANlWXMXi9TvZVe6iVaSdk45K3PNzgH7+CF6/DHwe6DYSzn5M4acZKQCJiIgEQLXby0drclmzrQSbxcTPOwzKqz1c0rtD/VNi6z+F10eDzw3HngsjngCzJvRuToqSIiIiAVBU6WLt9lKsZhNx4Q6sZhNrt5dSXOmq2/C3L+C1i8Hrgs5nwblPg0XjFc1NAUhERCQQjD/+YTLVLlJnRvKNi2D2ReCtgWOGw3mzwGILbJ0hQgFIREQkAOIi7BybGoPXZ7CrwoXXZ3Bsagxxu+fk2rwEXh0Jnio4aghc8AJYQ3u+roNJY2oiIiIB4LRZGNY1mUiHhaIKF3ER/ougnTYL5CyFVy4AdyUcMRhGvgRWR7BLbtEUgERERAIkNTaMs3um1n0Q4tbl8PJ54CqHtAFw4atgcwa71BZPAUhERCSAdpZV8Vt+JUe0Dqdd9Xp46RxwlUGHk+Ci18C2h9vipVkpAImIiATIq0tzmLV4AxXVbrrbtvA/91043KXQvg9cPAfs4cEuMWToImgREZEA2LKrnFmLN1BW5aaHfTsPVd6Jw11KTXIvuOQNcEQGu8SQogAkIiISAL/lV1Ja5SbdtJUHKqYQSxlrOZLvTnoWHFHBLi/kKACJiIgEQNtWTqJ9xTzi+hdxlPKDkca15ttJap0Y7NJCkgKQiIhIAERYfDxmfpRUUwGbjGSu8t1Kq/jWRDr0oMNg0EXQIiIiB5thEPPZLbTx/EgZ4dxim4zFmki001b3SdASMBoBEhEROdiW/I/wH+fgxczt1hspcHTA4zMorfFgMQW7uNCkESAREZGD6ZePYcGdALwUfTU/+jLweA0i7RacVjMVNd4gFxiaNAIkIiJysOSvgzf/BhhUdRvNu/bTKXd5sZhNlLu8VLu9RDgswa4yJCkAiYiIHAwVhfDqqNqnPBcPuo/oMDthNjMmIMxmJtppw6eLgIJCp8BERESam8cFr4+B4s0Q1xFGvQQuO/GRDqLDbITbLVS6vNgsZl0EHSQaARIREWlOhgHzb4LNi8Ee5Z/fK7wVcRF2jk2NAaDK7b/u59jUGOLC7cGsNmQpAImIiDSnpU/B9/8HmOD856B1ZwCcNgs928XisJopqXTjsJrp2S7WPyO8BJwCkIiISHP59VP4eLL//ZB74eghtZuq3V5W5hRR4/URG26jxutjZU4R1W7dBRYMCkAiIiLNYecv8MaVYPig56XQ5/o6m4sqXazdXorDYiYpOgyHxcza7aUUV7qCVHBoUwASERE5UJW7YPYoqCmB9n3gjEfB9JcnHBp//MNkql3URdBBogAkIiJyILxueONy2LUBYtrDyJfA6qjXbPdF0F6fwa4KF16foYugg0i3wYuIiByIj26FjQvBFgEXzYbIhmd3d9osDOuaTKTDQlGFi7gIOycdlaiLoINEAUhERKSpvn0Glj0LmOC8ZyC5616bp8aGcXbPVKpcXsLsFoWfIFIAEhERaYoNC+HDSf73J98JnU7fr92cNgWfQ4GuARIREWmswt/8T3o2vNB9FJw0IdgVSSMpAImIiDRGVbF/jq/qYkjNhDNn1L/jSw55CkAiIiL7y+uBN6+EwvUQnQoXvgo2Z7CrkiZQABIREdlfC+6A3z4DW7j/jq+opGBXJE2kACQiIrI/lv8ffDPT//6cJ6FNj+DWIwdEAUhERGRfNi2GDyb63w+6HbqcHdx65IApAImIiOxN0SaYMxp8Hjj2XOh/c7ArkmagACQiIrIn1aXw6oVQtQtSjoOzH9cdXy2EApCIiEhDfF6YexXsXAeRyf47vuzhwa5KmokCkIiIhJRqt5ddFS6q3d69N/z0bvjlI7A64aJXITolIPVJYGgqDBERCRnbiqtYuqGQ8moPkU4rWenxpMaG1W+48lVYMsP//uzHITUjsIXKQacRIBERCQnVbi9LNxRSUummVYSdkko3SzcU1h8JylkK743zv+9/M3Q7P/DFykGnACQiIiGh0uWlvNpDYpQDp81CYpSD8moPVa4/BaDiHJhzCXhd0PlMGHhb8AqWg0oBSEREQkK43UKk08rOshqq3V52ltUQ6bQSZv99Zvaacph9EVTshORucM5TYNafyZZK/2ZFRCQkOG0WstLjCXdY2FpUSbjDv+y0WcDng7evhh0/QERruHA22COCXbIcRApAIiISUtxeH5U1Xtxe3x8rv7gPfnofLHa48BWIbRe8AiUgdBeYiIiEhGq3l4/W5LJySzEmE2wsrKDG7WN05DLsi/7tb3TW/6DdCcEtVAJCAUhEREJCUaWLZRt3UVhRg91qweXxsrP8R2w7fp/j68Tx0OPCoNYogRP0U2AzZ84kLS0Np9NJRkYGixYt2mv7hQsXkpGRgdPpJD09nSeffLJem+LiYq677jratGmD0+mkc+fOzJ8//2B1QUREDgM1bi8FFTVUeXxYzCbCa/K5Om8KJm8NHH0anHxnsEuUAArqCNCcOXMYP348M2fO5MQTT+Spp57itNNO48cff6R9+/b12m/cuJHhw4dz1VVX8fLLL/P1119z7bXXkpiYyHnnnQeAy+Xi1FNPpXXr1rz55pu0bduWLVu2EBUVFejuiYjIIcRhsxBht7KzrBxXZTn/q55KnFGEO74TtvOeAbMl2CVKAJkMwzCC9eFZWVn06tWLJ554onZd586dGTFiBNOmTavXftKkScybN49169bVrhs7diyrVq0iOzsbgCeffJKHH36Yn376CZvN1qS6SktLiYmJoaSkhOjo6CYdQ0REDi0llS5uemMVa7cVca/nUU72ZVNmjsG46nOi2xwZ7PKkGTTm73fQToG5XC6WL1/OkCFD6qwfMmQIS5YsaXCf7Ozseu2HDh3Kd999h9vtBmDevHn06dOH6667jqSkJLp27cr999+P17vnOV9qamooLS2t8xIRkZal0u3F5TH4m/cNTvZl48bKjIS7qAxPDXZpEgRBC0AFBQV4vV6SkpLqrE9KSiIvL6/BffLy8hps7/F4KCgoAGDDhg28+eabeL1e5s+fz5QpU3jkkUe477779ljLtGnTiImJqX21a6fbH0VEWpoat5fueW/yN+/rANzpvpKPy9Oo2dekqNIiBf0iaJPJVGfZMIx66/bV/s/rfT4frVu35umnnyYjI4MLL7yQ22+/vc5ptr+aPHkyJSUlta8tW7Y0tTsiInKI8q1+gwmupwH4n2cEs70D2VFaTWG5K8iVSTAE7SLohIQELBZLvdGe/Pz8eqM8uyUnJzfY3mq1Eh8fD0CbNm2w2WxYLH9czNa5c2fy8vJwuVzY7fZ6x3U4HDgcjgPtkoiIHKp+/oiOi27EbDJ4wTOE6d4LAPB4DbYXVdGrY3DLk8AL2giQ3W4nIyODBQsW1Fm/YMEC+vbt2+A+ffr0qdf+k08+ITMzs/aC5xNPPJFff/0Vn++PJ3z+8ssvtGnTpsHwIyIiLdymxfDGZZgNL+94T+IezxhM+M8amE0Q6dQj8UJRUE+BTZw4kWeffZbnnnuOdevWMWHCBHJychg7dizgPzU1ZsyY2vZjx45l8+bNTJw4kXXr1vHcc88xa9Ysbrrppto211xzDYWFhYwbN45ffvmFDz74gPvvv5/rrrsu4P0TEZEg2/Y9vHoheKqpTBvCfyPGYTObMZvBboY2MWGktdacX6EoqLF31KhRFBYWMnXqVHJzc+natSvz58+nQ4cOAOTm5pKTk1PbPi0tjfnz5zNhwgQef/xxUlJSmDFjRu0zgADatWvHJ598woQJE+jevTupqamMGzeOSZMmBbx/IiISRPk/wcvngasMOvbDPPIFzly0lU/X5VFZ4yXcYeGUzskkRYcFu1IJgqA+B+hQpecAiYgc5oo2w3PDoGw7pPSCy+aBI4rlm4uYvXQzO8tqSIxycFFWBzI6xAW7Wmkmjfn7rROfIiLSspTtgBfP9oefxE5w6VvgiKLa7WVzYQXHJEWR2bEVZVVuNhdWcGxKNE6bngIdahSARESk5agqgpfOgaKNENseRr8N4a0AqHR5Ka/20CY2DKfNQqTDyq4KF1UurwJQCAr6c4BERESahasCXhkJ+WshMgnGvAvRKbWbw+0WIp1WdpbVUO32srOshkinlTC7wk8oUgASEZHDn6cGXrsEtn4LzlgY/Q60Sq/TxGmzkJUeT0y4jV0VLmLCbWSlx2v0J0TpFJiIiBzevB546++w4QuwRfiv+Unq0mDT1NgwhndrQ5XLS5jdovATwhSARETk8OXzwXvjYN08sNjholehbeZed3HaFHxEp8BERORwZRjwyRRY+TKYzHD+c5A+MNhVyWFiv0eAJk6cyL333ktERAQTJ07ca9tHH330gAsTERHZq68ehm8e978/+3HofGZw65HDyn4HoBUrVuB2u2vf78neZnIXERFpFkufgi/u878f9gD0vDi49chhR0+CboCeBC0icghb9Rq8fbX//cDJMPDW4NYjh4zG/P1ulmuASktLeeedd/jpp5+a43AiIiIN++kDeOda//usa2CA5nmUpmlSABo5ciSPPfYYAFVVVWRmZjJy5Ei6devGW2+91awFioiIALBhIbxxBRhe6HkJDL0fdNmFNFGTAtBXX31Fv379AHj77bcxDIPi4mJmzJjBv/71r2YtUEREhK3LYfZF4K2BTmfAmTPArBuZpema9NNTUlJCq1b+uVU++ugjzjvvPMLDwzn99NNZv359sxYoIiIhbseP8Mp54K7w3+Z+/nNg0WPs5MA0KQC1a9eO7OxsKioq+OijjxgyZAgARUVFOJ3OZi1QRERC2K6N/slNq4qg7fEw6hWwOoJdlbQATYrQ48eP55JLLiEyMpIOHTowcOBAwH9qrFu3bs1Zn4iIhKqyPHhpBJTnQesucPHr4IgMdlXSQjQpAF177bVkZWWRk5PDqaeeivn387Dp6em6BkhERA5c5S7/yE/RJohLg9FvQ3irYFclLYieA9QAPQdIRCSIasrhxbNh23cQ1Qau/AjiOga7KjkMNObvd5OvItu6dSvz5s0jJycHl8tVZ5umwhARkT0pqXRRUOEiIcJOTLi97kZ3Nbx2sT/8hMX5R34UfuQgaFIA+uyzzzjrrLNIS0vj559/pmvXrmzatAnDMOjVq1dz1ygiIi3E8s1FvL4sh10VLlpF2Bl5fHsyOsT5N3o98NbfYONCsEfCpW9B687BLVharCbdBTZ58mRuvPFGfvjhB5xOJ2+99RZbtmxhwIABXHDBBc1do4iItAAllS5ezN7E2u2llFV7WLu9lBezN1FS6QKfD+ZdDz+9DxYHXPQapGYEu2RpwZoUgNatW8dll10GgNVqpaqqisjISKZOncqDDz7YrAWKiEjLsL24ik07Kwi3W4gJtxFut7BpZwW5xVXw8WRYNRtMFhj5f5DWL9jlSgvXpAAUERFBTU0NACkpKfz222+12woKCpqnMhERaVHCHBasFhMVLg+lVS4qXB6sFhPJK6fD0if9jUY8AcecFtQ6JTQ06Rqg3r178/XXX9OlSxdOP/10brzxRtasWcPcuXPp3bt3c9coIiItQHJ0GOmJEXz6Yx6bvAZ2i4m7kxYT++3//A2G/xt6jApukRIymhSAHn30UcrLywG4++67KS8vZ86cORx55JH85z//adYCRUSkZahxe8ktrcbrMwATp/u+4Oy830d+Bk2BE64Kan0SWhodgLxeL1u2bKF79+4AhIeHM3PmzGYvTEREWpZNhZX8kleGxwdDTEu5h6cA2Nn1KhL73xTk6iTUNPoaIIvFwtChQykuLj4I5YiISEtVVu2mrMpDpncVD5lmYDEZvOkbxPrut4DJFOzyJMQ06SLobt26sWHDhuauRUREWjC7xUx/y2qetD2K3eThQ98J/Mv0D+w2S7BLkxDUpAB03333cdNNN/H++++Tm5tLaWlpnZeIiMhfpe34iMdMDxFuqmExx3GneRxJsREkRmt2dwm8Jl0EPWzYMADOOussTH8atjQMA5PJhNfrbZ7qRESkZfj2GRI+vhkTBgvt/XnAMY5ku51BxySRFB0W7OokBDUpAH3xxRfNXYeIiLREhgFfToOFD2IC8jtfxhuu0ThLqkmJDWfAMa1x6hSYBEGTAtCAAQOauw4REWlpfF6YfzN8NwsAd/9beaLsDFZv2onb56Wwws37q7ZxbEq0QpAEXJMC0FdffbXX7f37929SMSIi0kJ4auDtq2Ht24AJTv83G9qP5Iv/+w6P10erCAdFFS6++Cmfi7Lac3RSdLArlhDTpAA0cODAeuv+fC2QrgESEQlhNWUw51LY8CWYbXDu09D1XIp+K8DtNQizW7DbLITZLVS7fRRXuINdsYSgJt0FVlRUVOeVn5/PRx99xPHHH88nn3zS3DWKiMjhoqIQ/u8sf/ixRcAlb0DXcwFIT4ygdYyTCpeX8io3FS4vrWOcdEwID27NEpKaNAIUExNTb92pp56Kw+FgwoQJLF++/IALExGRw0zxFnjpHChcD+Hx/vCTmlG7uXV0GFf3P4Lnv95AcaWbDvHhXHFiOq11F5gEQZMC0J4kJiby888/N+chRUTkcJD/E7x8LpRug+i2MPptSDy6XrNhXZM5NiWSjTsrSUsMp12ryCAUK9LEALR69eo6y4ZhkJubywMPPECPHj2apTARETlMbFkGr14AVUWQcIw//MSkNth0W3EVyzYVU17toaDChdlsITVWI0ASeE0KQD179sRkMmEYRp31vXv35rnnnmuWwkRE5DDw66cwZzS4K6Ht8XDx6xDeqsGm1W4vSzcUUlLpJjHKwc6yGpZuKGR4tza6DV4CrkkBaOPGjXWWzWYziYmJOJ3OZilKREQOA2ve9N/q7vPAESfDqJfAHrHH5pUuL+XVHhKjHDhtFhKjHOyqcFHl8ioAScA1OgD5fD4+++wz5s6dy6ZNmzCZTKSlpXH++eczevToOrfDi4hIC7X0afjwFsCArufDiCfAat/rLuF2C5FOKzvLampHgGLCbYTZFX4k8Bp1G7xhGJx11ln8/e9/Z9u2bXTr1o1jjz2WzZs3c/nll3POOeccrDpFRORQYBjwxf3w4c2AASdcDec+s8/wA+C0WchKjycm3MauChcx4Tay0uM1+iNB0agRoBdeeIGvvvqKzz77jEGDBtXZ9vnnnzNixAhefPFFxowZ06xFiojIIcDnhfk3wXe/X+s56HbofzM0YuQ/NTaM4d3aUOXyEma3KPxI0DRqBGj27Nncdttt9cIPwODBg7n11lt55ZVXmq04ERE5RHhq4M0rfw8/Jjj9URhwS6PCz25Om4W4CLvCjwRVowLQ6tWrGTZs2B63n3baaaxateqAixIRkUNITRm8OhJ+fMc/tcUFz8Pxfwt2VSIHpFGnwHbt2kVSUtIetyclJVFUVHTARYmIyCGiogBeOR+2r/BPbXHhK3BE/bMAIoebRgUgr9eL1brnXSwWCx6P54CLEhGRQ8A+prYQOZw1KgAZhsHll1+Ow+FocHtNTU2zFCUiIkGW/5M//JRth5h2/qc7JxwV7KpEmk2jAtBll122zza6A0xE5NBW7fZS6fISvqe7sLYs85/2qi6GxE5w6dw9Tm0hcrhqVAB6/vnnD1YdIiISANuKq1i6oZDyag+RTitZ6fF15+Ja/ym8vn9TW4gczhp1F5iIiBy+/jwXV6sIOyWVbpZuKKTa7fU3WP0GzB7lDz9HngJj3lX4kRZLAUhEJETsnosrwmGhqNJFhMNCebWHKpcXlj4Fc//un9er2wVw4ey9zuslcrhr0mSoIiJy+Am3Wygor+Gr9Tvxen1YLGb6H5lAVPaDsPjf/kZZY2HoNDDr/4+lZVMAEhEJETVuL+vySskvrQLMmA03GT88gbXsfX+DQVOg/01NerqzyOFGAUhEJERsL6lm085yajwGNqOaqb4ZDHB9g4EJ0xmPQuaVwS5RJGAUgEREQoTX62VnhQuLq5zp1kfpzQ+4sJJ38gzaZ14S7PJEAiroJ3lnzpxJWloaTqeTjIwMFi1atNf2CxcuJCMjA6fTSXp6Ok8++eQe27722muYTCZGjBjRzFWLiBx+PAa0oYjnzf+iNz9QbjgZZ76N4rThwS5NJOCCGoDmzJnD+PHjuf3221mxYgX9+vXjtNNOIycnp8H2GzduZPjw4fTr148VK1Zw2223ccMNN/DWW2/Va7t582Zuuukm+vXrd7C7ISJyWEjI/YpXfTfR3byBQiOKS1xTWGrqikOzsksIMhmGYQTrw7OysujVqxdPPPFE7brOnTszYsQIpk2bVq/9pEmTmDdvHuvWratdN3bsWFatWkV2dnbtOq/Xy4ABA7jiiitYtGgRxcXFvPPOO/tdV2lpKTExMZSUlBAdHd20zomIHCq8bvhsKiyZAcAPvo78030DG41kIh1mXvtHb7qmxgW5SJED15i/30EbAXK5XCxfvpwhQ4bUWT9kyBCWLFnS4D7Z2dn12g8dOpTvvvsOt9tdu27q1KkkJibyt7/9bb9qqampobS0tM5LRKRFKNoMz59WG35eNoZygesecoxkLPjneCyu0CTWEnqCFoAKCgrwer0kJSXVWZ+UlEReXl6D++Tl5TXY3uPxUFBQAMDXX3/NrFmzeOaZZ/a7lmnTphETE1P7ateuXSN7IyJyCFr3HjzVD7YuA2cMvw2ayX3ey6nGBibwAT4fhDuCfjmoSMAF/afe9JfnTRiGUW/dvtrvXl9WVsall17KM888Q0JCwn7XMHnyZEpKSmpfW7ZsaUQPREQOMe5qmH8zzLkUqksgNROuXkRZ+nAiHFasJmpfEQ4rVkvQ/xSIBFzQboNPSEjAYrHUG+3Jz8+vN8qzW3JycoPtrVYr8fHxrF27lk2bNnHmmWfWbvf5fABYrVZ+/vlnjjjiiHrHdTgcOByOA+2SiEjwFf4Gb1wOeav9y31vgJPvBIuNWG85bWLDsFvMWC0mPF6D+CgH0WG2oJYsEgxBC0B2u52MjAwWLFjAOeecU7t+wYIFnH322Q3u06dPH95777066z755BMyMzOx2Wx06tSJNWvW1Nk+ZcoUysrK+O9//6tTWyLSsq15E94bB65yCI+Hc56Co06t3ZwcE8agTkks+jkfj+HDajLT75jWJEeH7eWgIi1TUB+EOHHiREaPHk1mZiZ9+vTh6aefJicnh7FjxwL+U1Pbtm3jxRdfBPx3fD322GNMnDiRq666iuzsbGbNmsXs2bMBcDqddO3atc5nxMbGAtRbLyLSYrgq4aNJ8L3/dyUdToTznoXolDrNnDYLo45vR+soOztLa0iMdjCoUxJO3QYvISioAWjUqFEUFhYydepUcnNz6dq1K/Pnz6dDhw4A5Obm1nkmUFpaGvPnz2fChAk8/vjjpKSkMGPGDM4777xgdUFEJLjyf/Kf8tq5DjDBgFug/y1gafjXe2psGOdntKPK5SXMblH4kZAV1OcAHar0HCAROeQZBqx42X+xs6cKIpPg3GcgfUCwKxMJmsb8/dZcYCIih5uaMnh/Iqx53b+cPgjOfRoiWwe3LpHDiAKQiMjhJHe1/5TXrt/AZIHBU+DE8WDWrewijaEAJCJyODAMWPYsfHwbeF0QnQrnPwftewe7MpHDkgKQiEgAVbu9VLq8hDfmAuSqYph3vf/JzgBHnwYjZkJ4q4NWp0hLpwAkIhIg24qrWLqhkPJqD5FOK1np8aTG7uMZPFu/gzevgOIcMNvg1KnQ+xrYyxPzRWTfdNJYRCQAqt1elm4opKC8BrvVTEF5DUs3FFLt9ja8g88HS/4Hzw31h5+4jvC3T6DPtQo/Is1AI0AiIgFQ6fKytaiKHaVVVLl8hNnNVLt9VLm89U+FVRTCO2Nh/Sf+5S4j4KwZ4IwJeN0iLZUCkIhIAFhM8Ft+Gb/mV+C0m6l2+TiytQfzXwdzNn0Nb/0dyraDxQGnPQAZV2jUR6SZKQCJiARApdtLcaWbSpebKrcJwzAornRT5fYSA+DzwqJH4cv7wfBB/FFwwQuQrGl8RA4GBSARkQCocXupcHmIcNhoFWFnV4WLCpeHGrcXynbA3Ktg40J/4x4XwfB/gyMyuEWLtGAKQCIiAeCwWUiIdLCjrJqyajc2q4mESAdR2xfDx9dDxU6whcPpj0DPi4NdrkiLpwAkIhIAceF22sQ4Wbu9BJfHR5jFYKJpDnFzXwIMaH0sXPA8JB4T7FJFQoICkIhIANS4vWwrrsLrM2hjKuTumun03LHOvzHjChg2DWz7eCaQiDQbBSARkQDYXlzFll1V9PctY7L7MWIop5Iwik7+N6n9Lg12eSIhRw9CFBEJAItRzRUlj/OA+wFiKGeNL42LLQ9TcfRZwS5NJCRpBEhE5GDLX0f7Ny/jaONnAJ73Dedh9yisZicuty/IxYmEJgUgEZGDxTDgu1nw8e04PdXsIoY7TdeSbetFmNWH1WKhyrWHqTBE5KBSABIRORgqd8G8f8JP7wNQ03EQVxdczppiG4bhwWQyaNfKSYeE8CAXKhKadA2QiEhz27gInjjRH37MNhh6P9UXvEaNIx6vD7yGgdcHYTYLDqtl38cTkWanESARkebidcOXD8CiRwAD4o+E82ZBSk82bSmiqMJN6ygHYXYrVS4PRRVucgor6RZuD3blIiFHAUhEpDkUbfJPYrp1mX/5uEth2IO101kYBmACi8lEuN2Cy+PFAHwmI1gVi4Q0BSARCSnVbi+VLi/hdgtOWzOdflrzJrw/AWpKwREDZ06HrufWaZKWEEHnNtGs3V5CabUHrwHHpkTTsVVE89QgIo2iACQiIWNbcRVLNxRSXu0h0mklKz2e1NgDePpyTTl8eAusfMW/3C4Lzn0G4jrUaxoTbufqAUcwe+lmCsprSIh0cFFWB2J0+kskKBSARCQkVLu9LN1QSEmlm8QoBzvLali6oZDh3do0bSRo+wp482+w6zcwmaH/zdD/FrDs+ddqRoc4jkyMYFeFi1YRdoUfkSBSABKRkFDp8lJe7SExyoHTZiExysGuChdVLm/jApDPB9mPwWdTweeG6FT/qE/HE/dr95hwBR+RQ4ECkIiEhHC7hUinlZ1lNbUjQDHhNsLsjQg/ZTvgnbHw2+f+5c5nwpkzILzVwSlaRA4aBSARCQlOm4Ws9HiWbihkV4WLmHAbWenx+z/688sn8M41UFkA1jD/7O0Zl4PJdFDrFpGDQwFIREJGamwYw7u1ocrlJWx/7wLz1MCnd8M3M/3LSV39z/Zp3emg1ioiB5cCkIiEFKetEbe/7/wF3roS8tb4l7PGwin3gM158AoUkYBQABIR+SvDgBUvwYeTwF0J4fFw9kw4ZliwKxORZqIAJCLyZ1XF8N44+PEd/3LaADjnKYhuE8yqRKSZKQCJSEgpqXRRUOEioaHn8OR845/OomQLmK0weAr0HQdmzRst0tIoAIlIyFi+uYjXl+XUPohw5PHtyegQB14PLPo3LHwQDB/EpfkvdG6bEeySReQgUQASkZBQUunixSUb+SmvDKsZcnZVUu32cpSjiOj510JOtr9h9wvh9H+DIyq4BYvIQaUAJCIhYXtJNau2FFNY4YLfZ2bvXbWIiI1Pg6sE7FFwxqPQfWSwSxWRAFAAEpGQUFXjpqDChdvrI97mZpz3BUa5fn+ic2oGnPcstEoPbpEiEjAKQCISElw+A6fVwjHGRh42/ke6eRs+TOR1HUvKOfeCxRbsEkUkgBSARCQkpLdycp39fS71vIQNL/lGHNOjb2L8kL8p/IiEIN3bKSItX9EmEt46jyuqXsBm8vKpkckFpodwtz+J6DDNzC4SijQCJCItl2HAylfgw0mYXeVUmsL4l/cy3vT2w2o2s35HOcWVLpJjwoJdqYgEmAKQiLRM5Tv9T3T++QMAypKO5/y8MWzyJhBmM1Pt9vHrznK2F1UpAImEIAUgEWl5fv4Q5v0TKnaC2QaDp5AdewE5c1bj9fmodPkwDAOzz6C40hXsakUkCBSARKTlqCmHj2+D7//Pv9y6C5z7NCR3o+32Ysxm/yOArCZwG/4ZLpJjNbO7SChSABKRliFnKbz9DyjaBJig7/UwaArY/AHHYbOSHh/B5l1VeLw+ImwWOrQKI8ymX4MioUj/5YvI4c3jgoUPwOL/+OfximkHI56AtH51miVE2OnWNpaYMDvhdguVLi/t48NpFaG7wERCkQKQiBy+8n+CuVdB3mr/co+L4LQHwRlTr2lMuJ3zMtrx1vItlFS5aR/l4LyMdvVnhBeRkKAAJCKHH58Pvn0KFtwF3hoIi4MzpsOxI/a6W0aHOI5MjKidDV7hRyR0KQCJyOGlZCu8cy1sXOhfPvJUOPsxiErer91jwhV8REQBSEQOJ6vfgA9uhJoSsIXDkH9B5pVgMgW7MhE5zCgAicihr3KXP/isnetfTs2Ac56GhCODW5eIHLYUgETk0Pbb5/5TXmW5YLLAgEnQ70aw6NeXiDSdfoOIyKHJVQmf3u2/2Bkg/kj/Qw1TM4Jaloi0DApAInLo2fY9vH01FPziXz7hH3DKPWAPD25dItJiKACJSEBVu71UuryE2y04bZa6G70eWPwoLHwQfB6ITIYRj8ORpwSnWBFpsRSARCRgthVXsWBtLluLq2kb6+TUY9uQGvv7TOyFv8Hcf8C27/zLXUbAGf+B8FZBq1dEWi5zsAuYOXMmaWlpOJ1OMjIyWLRo0V7bL1y4kIyMDJxOJ+np6Tz55JN1tj/zzDP069ePuLg44uLiOOWUU/j2228PZhdEZD9Uu708+9VvPPf1Jj5YtZ3nvt7Es1/9RrXLA989B0+e5A8/jhg49xm44AWFHxE5aIIagObMmcP48eO5/fbbWbFiBf369eO0004jJyenwfYbN25k+PDh9OvXjxUrVnDbbbdxww038NZbb9W2+fLLL7nooov44osvyM7Opn379gwZMoRt27YFqlsi0oDNhRUs+DGP4koXbp+P4koX369dh+flC+D9CeCuhLT+cO0S6D5Sz/YRkYPKZBiGEawPz8rKolevXjzxxBO16zp37syIESOYNm1avfaTJk1i3rx5rFu3rnbd2LFjWbVqFdnZ2Q1+htfrJS4ujscee4wxY8bsV12lpaXExMRQUlJCdHR0I3slIg1Z9Es+17z8PS6vF4vJzMl8w72WWcSZysDigFPuhqyxYA76wLSIHKYa8/c7aL9pXC4Xy5cvZ8iQIXXWDxkyhCVLljS4T3Z2dr32Q4cO5bvvvsPtdje4T2VlJW63m1at9jyUXlNTQ2lpaZ2XiDSvcLsVj8/A4a3kXtNMHrNOJ85URmWrLnD1QuhzrcKPiARM0H7bFBQU4PV6SUpKqrM+KSmJvLy8BvfJy8trsL3H46GgoKDBfW699VZSU1M55ZQ930Uybdo0YmJial/t2rVrZG9EZF8sJjjN/A0fO27hfMtXeA0TTxtn89tZ70DrzsEuT0RCTND/d8v0l/P8hmHUW7ev9g2tB3jooYeYPXs2c+fOxel07vGYkydPpqSkpPa1ZcuWxnRBRPal4Fc6fjSG/5ink2LaxWZfa0a57uAh9ygqPJZ97y8i0syCdht8QkICFoul3mhPfn5+vVGe3ZKTkxtsb7VaiY+Pr7P+3//+N/fffz+ffvop3bt332stDocDh8PRhF6IyF65KmHRv+HrGcT63NQYNp7ynsnTvrOpxIbVZKK4yhXsKkUkBAVtBMhut5ORkcGCBQvqrF+wYAF9+/ZtcJ8+ffrUa//JJ5+QmZmJzWarXffwww9z77338tFHH5GZmdn8xYvI3hkGrHsfHj8BFj0CPjdlbQdyrukRZnjPx2WyYQacNgtt4/R0ZxEJvKCeAps4cSLPPvsszz33HOvWrWPChAnk5OQwduxYwH9q6s93bo0dO5bNmzczceJE1q1bx3PPPcesWbO46aabats89NBDTJkyheeee46OHTuSl5dHXl4e5eXlAe+fSEjatQFeuQDmXAIlWyCmHYx6Bd9FrxOefCQ2qxmTyYTNauaY5EjatVIAEpHAC+qToEeNGkVhYSFTp04lNzeXrl27Mn/+fDp06ABAbm5unWcCpaWlMX/+fCZMmMDjjz9OSkoKM2bM4LzzzqttM3PmTFwuF+eff36dz7rrrru4++67A9IvkZDkroLF/4HF08FbA2YbnHgD9LsJ7OF4K1z0aBuLz2tQWuMh2mH1LwftQRwiEsqC+hygQ5WeAyTSSD9/BB/eAsWb/cvpg2D4vyHhyNomJZUuHvzoJ3aW1pAQ7aCgtIbEaAeThnUiJtwepMJFpCVpzN9vzQUmIk1XtAk+vBV++dC/HJ0KQ++HLmfXe5Kz14DkmDCsFhMeL7SJc5IQ6dQIkIgEhQKQiDSeuxqWzPBf4OypBrMV+lwP/W8GR2SDu4TbLbSNC8NpMxPjtFFS7SYh0kGYXbfBi0jgKQCJSOOsXwDzb4aijf7ltP7+012Jx+x1N6fNQlZ6PEs3FFJe7SEh0kFWejxOmwKQiASeApCI7J/iHPhoMvz0vn85qg0MvQ+OPXe/Jy5NjQ1jeLc2VLm8hNktCj8iEjQKQCKyd54aWPI/+Orf4KkCkwV6XwMDbwVHVKMP57Qp+IhI8CkAicie/fa5/3RX4a/+5Q4n+k93JXUJbl0iIgdIAUhE6ivZBh/fBj++41+OaO0/3dXtgv0+3SUicihTABIJMdVuL5UuL+ENXYPjccE3M2HhQ+CuAJMZTrgaBk0GZ0xwChYROQgUgERCyLbiqtq7sCKdVrLS40mNDfNv3LDQf7qr4Gf/crvecPq/Iblb8AoWETlIFIBEQkS128vSDYVsLawEi0FxhX8W9uEdwfn5nfDDW/6G4Qkw5F7ofiGYgzpdoIjIQaMAJBIiKl1evt2wiyW/5VNR7SHaATfGfoXjwxf+ON2V+TcYPAXCYoNdrojIQaUAJBIiKmpcfLw2l6IqDyeY1jHV+wKdqrf4N7Y93n93V0rPoNYoIhIoCkAiIWLl5l0cU7OaS2yfcqblGwB2GZFs7TWJ7mder9NdIhJSFIBEWrqC9bDqNQYte5kz7XkA+AwTr3oH87BnFDcmHk93hR8RCTEKQCItUUUhrJ0Lq2bDtuUARAKlRhgfeHvzsvcU1hppACRGOoNYqIhIcCgAiQTYXp/DcyA8NfDLR7BqDqz/GHwe/3qTBY48hVWthnHp4jjKvPbaXewWsFk1+iMioUcBSCSA9vocnqYwDNjyLax+DX6YC9XFf2xr0wN6XARdz4fIRCLyS7F9txRrlQub2YTbZxDptNMxIfyA+yUicrhRABIJkN3P4SksqyEqzEZhWQ1LNxQyvFubxo8E7doIq1/3n+Iq2vjH+qgU6D4SelwIrTvX2aVVhJMT0+NZurGQGo+XKKuFrLR44iN0CkxEQo8CkEiAVLq8bN1VSUF5DZ5CsJqhyu2lyuXdvwBUVeyfm2vVa5CT/cd6WwR0Ocsfejr2A3PDxwq3WxjUuTVp8eF4MbBgomPrSMLsmpldREKPApBIgFhMkFdaTX5ZDa2jHGwvqcHjMzDvbW5Rrxt+/cw/0vPzh+Ct+X2DCdIH+k9xdT4D7BH7/HynzUJWejxAnVNwzXodkojIYUIBSCRAvAaE262UVZeTW1JFpMNKx/gIfMZfGhoGbF8Bq+fAmjehsuCPba27+Ed6ul0A0SmNriE1Nozh3dpQ5fIS1twXYYuIHEYUgEQCxGKCnF0VbCmqwmKCoko3MWG2P0aASrb+fl3Pa39MSAoQkQjdfr+uJ7kbmPY2ZLRvTpuCj4iIApBIgBRVusgtqcLwGZjMJgyfQXFxIe7lL8OGt2HjIuD34SCrEzqd7j/FlT4ILPpPVUSkOem3qkiAVLl9lFV5qKhx0du3mrPMizjF9S3Oz1x/NOpwkn+kp8tZ4IwJXrEiIi2cApBIgDhrChhZ9Rrn8gnJlqLa9a7YdOy9Lvaf5orrEMQKRURChwKQyMGWtwa+eZIOa17nWsMFJigyInnf14cvnYP55zkX0rNDq2BXKSISUhSARA4Gn9c/LcU3T8CmRQCYgTXGkTzjHsbHvhNwYSXKbCEyTP8ZiogEmn7zijSn6lJY8TJ8+xQUbfKvM1mgy9msbX8Jo953U+nz1Tb3+AyKKt3BqVVEJIQpAIk0h8Lf4Nun/eHHVe5f54yFzCvg+L9DTFtyf8zDZ3yP1Qw2sxm3z4fPMCivVgASEQk0BSCRpjIM2PiV/zTXLx9Rewt7wjHQeyx0vxDsf0w0mhTtxG614KnxYBgGGGC3WkiI0lxcIiKBpgAk0ljuKljzBnzzJOSv/WP9UUMgaywcMbjBhxUmRDrokhLN+rxSvIb/wYhHJUeTEOkIYPEiIgIKQCL7rzQXlj0Ly5+HykL/Ols49LwEsq6GhKP2untchJ1TuyQTE2bF4zWwWkyckJZAXLg9AMWLiMifKQCJ7Mu25f7RnrVzwefxr4tpDydcBb1GQ1jcfh3GabMwrGsykQ4LRRUu4iLsnHRUoqalEBEJAgUgCSnVbi+VLi/h+5oI1OuBn97zX9+zZekf69v3gd7XwDGnN2l6itTYMM7umarJSEVEgkwBSELGtuIqlm4opLzaQ6TTSlZ6PKmxYXUbVe6C71+Eb5+B0q3+dWYbdD3Pf2FzynEHXIcmIxURCT4FIAkJ1W4vSzcU8nNuMSXVPmKcZgCGd2vjDyM7f4alT8LK2eCp8u8UngDH/w0yr4So5CBWLyIizU0BSEJCpcvLW8u38t3mQjxesFrg+PalnGpfg3PFM/DbZ380TurmP83V9Tyw6RZ1EZGWSAFIQkJOYTlLNxbi8UEY1ZxnLOKKbR8R9Wbu7y1M0Ol0/23sHU9q8DZ2ERFpORSAJCR8//NmhvINg2wrOdX8HTGmSgBclgjsx18GJ/wDWqUFuUoREQkUBSBpmQwDdqyF9Z/A+gVcvmUpV9q9tZs3+ZJ4wTuUowf9nYsH9AhioSIiEgwKQNJy1JTDxoXwy8ewfgGUba/dZAZ+8aXyha8nX/p6stTXGQMzz7XWxc0iIqFIAUgOX4YBBevh1wX+kZ5NX4PvTxOLWsMgfQAcdSrbE0/kkpe3sLP8j+2JkTaOTIoIQuEiIhJsCkByeHFXwabFv5/a+gSKNtXdHpcGRw+Fo06FDifV3sVlKq4iPbEIr68Mt8/AZjaRnhiJ1aLn8YiIhCIFIDn0FW3yn9Ja/4l/9nVP9R/bLHb/XVtHDfG/4o9o+BgmSI0NJyHCgc1qwu0xcNgs6F4vEZHQpAAkAVVS6aKgwkVChJ2YPU0C6qmBnOw/Qk/BL3W3R7eFo38PPB37gSNyn58bF27n2JRo1mwrwWYxAQbHpkQTq4lIRURCkgKQBMzyzUU8/tl6Nu2qoGOrCK47+SgyOvw+kWjJtt+v5VkAG74EV/kfO5os/jm4jjrVf3orsVOjn9PjtFkY1q0NkU6rJiIVEREFIAmMkkoX4179nq0l/tNXmwvKcOYu5dhe+Tg3fQ47fqi7Q2QSHHmqP/QcMQicMQdcgyYiFRGR3RSAJCA+W/UbSaWrGGzZxAnmn+lnXk2MuxJqJ1o3Qdvjf7+W51RI7g5mc7PXoYlIRUQEFIBCTrXbS6XLS/jBHAGpKIDcVZC3GnJXQ95qzin8jXMdRp1mu4xItsX3pdvAkXDEYIiIPzj1iIiI/IUCUAjZVlzFFz/tIL+0mtbRTgZ1SiI1NqzpBzQMKN4MeWtqgw65q+s8gHA3E5BnxLHW15E1RhoLvT1YZRzBIyf2oFv39k2vQUREpAkUgEJEtdvLnGVb+PTHPGrcXhw2C/llLq4deMT+jQR5Pf67sf40qkPeaqguaaCxyX87enJ3aNMdkrvxdXkqV7y+AZfvj1Z2M8RHabZ1EREJPAWgEJFXUsU7329lR0k1hsnAZJgor97Kub1S6Bj/l9vIXZWQ/2Pd01j5P9Z9/s5uZhu07vx70Onh/2fSseCIqtOs/a5y2sXvoKC0CovFjNfrIyE6jLSE8IPYaxERkYYpAIWIDTsr2FFahdcAu8WEy2Owo7SKLVu30bEkr+7ITsEvYPjqH8QeCcnd/jSy091/S7p138/Sadcqkr+dlM6sxRuoqHYTEeHgbyel067Vvp/hIyIi0twUgAJsvx4E2Nx8Xnyl2+huWk+SuZCjjG10sW6is3kzbd8uaHifiMS6QadND/80EwdwZ9bFWe3pd1QrNhZUkpYQrvAjIiJBowAUQMs3F/Hcot/YXlxFSmwYV/Y74o8HATaVYUBlIZRs9b9Kt/3pn9v8/yzL5RSfh1P29G87tkPdU1jJ3SEqudEPG9wf7VpFKviIiEjQKQAFSEmli6nv/cCPuaUYPvght5StxVW8eGXWnkeCDMN/kXFtmNn6R6jZHXJKtzd8bc5fD2WysMOIY6uvFZuN1vzo68hWx5Hcc/VFJCclN3NvRUREDm1BD0AzZ87k4YcfJjc3l2OPPZbp06fTr1+/PbZfuHAhEydOZO3ataSkpHDLLbcwduzYOm3eeust7rjjDn777TeOOOII7rvvPs4555yD3ZW9+n5zEetyS/H5IMxmpsrtY2PuTn5au5ysVtV/hJq/jt78eUqIvYlMguhUiEn1z5UVk/r7cluITuWr7Sb+9tIKPD6wAF7AWg2XFJtJTjqYPRcRETn0BDUAzZkzh/HjxzNz5kxOPPFEnnrqKU477TR+/PFH2rev/2yYjRs3Mnz4cK666ipefvllvv76a6699loSExM577zzAMjOzmbUqFHce++9nHPOObz99tuMHDmSxYsXk5WVFegu1tpRXs0xbGKC9Q3asItkeyFxpnL4YD92Dov7S6j5S8iJTgGrY6+H2LR2I4YBVhPYLGbcXh+GAVt3VTZPB0VERA4jJsMwjH03OziysrLo1asXTzzxRO26zp07M2LECKZNm1av/aRJk5g3bx7r1q2rXTd27FhWrVpFdnY2AKNGjaK0tJQPP/ywts2wYcOIi4tj9uzZ+1VXaWkpMTExlJSUEB0d3dTu1fFrfik3T3+Bt+131Fnvs0Vgjm23l9GbFLBHHPDn/7i9mAueyqba5cNmBrcPnHYzb1zdhy4psQd8fBERkWBrzN/voI0AuVwuli9fzq233lpn/ZAhQ1iyZEmD+2RnZzNkyJA664YOHcqsWbNwu93YbDays7OZMGFCvTbTp0/fYy01NTXU1NTULpeWljayN/u2q9zFb7423Ob+G9uNVuQa8eQa8Tw7ehAnHJHY7J/3V11SYhmd1ZFXlm6mxuMj3G7mkqwOCj8iIhKSghaACgoK8Hq9JCXVvQAlKSmJvLy8BvfJy8trsL3H46GgoIA2bdrssc2ejgkwbdo07rnnnib2ZP98s6GQMsJ53XcyZrMJn2HgBb7dXBSQAARw6/DOnNWzDWu2ldItNVrhR0REQlbzT7fdSKa/3GptGEa9dftq/9f1jT3m5MmTKSkpqX1t2bJlv+vfX73T47GYwWv46/EaYDHDCR1bNftn7U2XlFhGHd9e4UdEREJa0EaAEhISsFgs9UZm8vPz643g7JacnNxge6vVSnx8/F7b7OmYAA6HA4dj7xcRH6gT0hM4o1sK76/Z7r8TywxndEvhhPSEg/q5IiIiUl/QRoDsdjsZGRksWLCgzvoFCxbQt2/fBvfp06dPvfaffPIJmZmZ2Gy2vbbZ0zEDafpFx/Hq37O4cchRvPr3LKZfdFywSxIREQlJQb0NfuLEiYwePZrMzEz69OnD008/TU5OTu1zfSZPnsy2bdt48cUXAf8dX4899hgTJ07kqquuIjs7m1mzZtW5u2vcuHH079+fBx98kLPPPpt3332XTz/9lMWLFwelj391QnqCRn1ERESCLKgBaNSoURQWFjJ16lRyc3Pp2rUr8+fPp0OHDgDk5uaSk5NT2z4tLY358+czYcIEHn/8cVJSUpgxY0btM4AA+vbty2uvvcaUKVO44447OOKII5gzZ05QnwEkIiIih5agPgfoUHUwngMkIiIiB1dj/n4H/S4wERERkUBTABIREZGQowAkIiIiIUcBSEREREKOApCIiIiEHAUgERERCTkKQCIiIhJyFIBEREQk5CgAiYiISMgJ6lQYh6rdD8cuLS0NciUiIiKyv3b/3d6fSS4UgBpQVlYGQLt27YJciYiIiDRWWVkZMTExe22jucAa4PP52L59O1FRUZhMpmCX06xKS0tp164dW7ZsCcl5zkK9/6DvINT7D/oOQr3/0HK/A8MwKCsrIyUlBbN571f5aASoAWazmbZt2wa7jIMqOjq6Rf3QN1ao9x/0HYR6/0HfQaj3H1rmd7CvkZ/ddBG0iIiIhBwFIBEREQk5CkAhxuFwcNddd+FwOIJdSlCEev9B30Go9x/0HYR6/0HfAegiaBEREQlBGgESERGRkKMAJCIiIiFHAUhERERCjgKQiIiIhBwFoBZg2rRpHH/88URFRdG6dWtGjBjBzz//XKeNYRjcfffdpKSkEBYWxsCBA1m7dm2dNjU1Nfzzn/8kISGBiIgIzjrrLLZu3RrIrjSLadOmYTKZGD9+fO26UOj/tm3buPTSS4mPjyc8PJyePXuyfPny2u0t+TvweDxMmTKFtLQ0wsLCSE9PZ+rUqfh8vto2La3/X331FWeeeSYpKSmYTCbeeeedOtubq79FRUWMHj2amJgYYmJiGD16NMXFxQe5d/u2t/673W4mTZpEt27diIiIICUlhTFjxrB9+/Y6x2ip/f+rq6++GpPJxPTp0+usP5z73ywMOewNHTrUeP75540ffvjBWLlypXH66acb7du3N8rLy2vbPPDAA0ZUVJTx1ltvGWvWrDFGjRpltGnTxigtLa1tM3bsWCM1NdVYsGCB8f333xuDBg0yevToYXg8nmB0q0m+/fZbo2PHjkb37t2NcePG1a5v6f3ftWuX0aFDB+Pyyy83li5damzcuNH49NNPjV9//bW2TUv+Dv71r38Z8fHxxvvvv29s3LjReOONN4zIyEhj+vTptW1aWv/nz59v3H777cZbb71lAMbbb79dZ3tz9XfYsGFG165djSVLlhhLliwxunbtapxxxhmB6uYe7a3/xcXFximnnGLMmTPH+Omnn4zs7GwjKyvLyMjIqHOMltr/P3v77beNHj16GCkpKcZ//vOfOtsO5/43BwWgFig/P98AjIULFxqGYRg+n89ITk42Hnjggdo21dXVRkxMjPHkk08ahuH/hWGz2YzXXnutts22bdsMs9lsfPTRR4HtQBOVlZUZRx11lLFgwQJjwIABtQEoFPo/adIk46STTtrj9pb+HZx++unGlVdeWWfdueeea1x66aWGYbT8/v/1D2Bz9ffHH380AOObb76pbZOdnW0Axk8//XSQe7X/9hYAdvv2228NwNi8ebNhGKHR/61btxqpqanGDz/8YHTo0KFOAGpJ/W8qnQJrgUpKSgBo1aoVABs3biQvL48hQ4bUtnE4HAwYMIAlS5YAsHz5ctxud502KSkpdO3atbbNoe66667j9NNP55RTTqmzPhT6P2/ePDIzM7ngggto3bo1xx13HM8880zt9pb+HZx00kl89tln/PLLLwCsWrWKxYsXM3z4cKDl9/+vmqu/2dnZxMTEkJWVVdumd+/exMTEHHbfSUlJCSaTidjYWKDl99/n8zF69Ghuvvlmjj322HrbW3r/94cmQ21hDMNg4sSJnHTSSXTt2hWAvLw8AJKSkuq0TUpKYvPmzbVt7HY7cXFx9drs3v9Q9tprr/H999+zbNmyettCof8bNmzgiSeeYOLEidx22218++233HDDDTgcDsaMGdPiv4NJkyZRUlJCp06dsFgseL1e7rvvPi666CIgNH4G/qy5+puXl0fr1q3rHb9169aH1XdSXV3NrbfeysUXX1w78WdL7/+DDz6I1WrlhhtuaHB7S+///lAAamGuv/56Vq9ezeLFi+ttM5lMdZYNw6i37q/2p02wbdmyhXHjxvHJJ5/gdDr32K6l9h/8/7eXmZnJ/fffD8Bxxx3H2rVreeKJJxgzZkxtu5b6HcyZM4eXX36ZV199lWOPPZaVK1cyfvx4UlJSuOyyy2rbtdT+70lz9Leh9ofTd+J2u7nwwgvx+XzMnDlzn+1bQv+XL1/Of//7X77//vtG19kS+r+/dAqsBfnnP//JvHnz+OKLL2jbtm3t+uTkZIB6iT0/P7/2/xCTk5NxuVwUFRXtsc2havny5eTn55ORkYHVasVqtbJw4UJmzJiB1Wqtrb+l9h+gTZs2dOnSpc66zp07k5OTA7T8n4Gbb76ZW2+9lQsvvJBu3boxevRoJkyYwLRp04CW3/+/aq7+Jicns2PHjnrH37lz52HxnbjdbkaOHMnGjRtZsGBB7egPtOz+L1q0iPz8fNq3b1/7O3Hz5s3ceOONdOzYEWjZ/d9fCkAtgGEYXH/99cydO5fPP/+ctLS0OtvT0tJITk5mwYIFtetcLhcLFy6kb9++AGRkZGCz2eq0yc3N5Ycffqhtc6g6+eSTWbNmDStXrqx9ZWZmcskll7By5UrS09NbdP8BTjzxxHqPPvjll1/o0KED0PJ/BiorKzGb6/46s1gstbfBt/T+/1Vz9bdPnz6UlJTw7bff1rZZunQpJSUlh/x3sjv8rF+/nk8//ZT4+Pg621ty/0ePHs3q1avr/E5MSUnh5ptv5uOPPwZadv/3W8Avu5Zmd8011xgxMTHGl19+aeTm5ta+Kisra9s88MADRkxMjDF37lxjzZo1xkUXXdTgLbFt27Y1Pv30U+P77783Bg8efMjeArwvf74LzDBafv+//fZbw2q1Gvfdd5+xfv1645VXXjHCw8ONl19+ubZNS/4OLrvsMiM1NbX2Nvi5c+caCQkJxi233FLbpqX1v6yszFixYoWxYsUKAzAeffRRY8WKFbV3OTVXf4cNG2Z0797dyM7ONrKzs41u3bodErdB763/brfbOOuss4y2bdsaK1eurPN7saampvYYLbX/DfnrXWCGcXj3vzkoALUAQIOv559/vraNz+cz7rrrLiM5OdlwOBxG//79jTVr1tQ5TlVVlXH99dcbrVq1MsLCwowzzjjDyMnJCXBvmsdfA1Ao9P+9994zunbtajgcDqNTp07G008/XWd7S/4OSktLjXHjxhnt27c3nE6nkZ6ebtx+++11/ti1tP5/8cUXDf53f9lllxmG0Xz9LSwsNC655BIjKirKiIqKMi655BKjqKgoQL3cs731f+PGjXv8vfjFF1/UHqOl9r8hDQWgw7n/zcFkGIYRiJEmERERkUOFrgESERGRkKMAJCIiIiFHAUhERERCjgKQiIiIhBwFIBEREQk5CkAiIiISchSAREREJOQoAIm0YHfffTc9e/Zs1D4mk4l33nmnWet44YUXiI2NbdZjhopNmzZhMplYuXLlAR3n8ssvZ8SIEbXLAwcOZPz48Qd0TJHDmQKQSJD89Q+StGyHWgicO3cu9957b0A+Sz/rciiyBrsAEREJvFatWh3wMdxuNzabrRmqEQk8jQCJHAI6duzI9OnT66zr2bMnd999d+2yyWTiqaee4owzziA8PJzOnTuTnZ3Nr7/+ysCBA4mIiKBPnz789ttve/ycZcuWceqpp5KQkEBMTAwDBgzg+++/r9euoKCAc845h/DwcI466ijmzZu31/pdLhe33HILqampREREkJWVxZdffrnXfd577z0yMjJwOp2kp6dzzz334PF4Dri/+3PcZ599tlH9a+i0YGxsLC+88ALwx2mquXPnMmjQIMLDw+nRowfZ2dkAfPnll1xxxRWUlJRgMpkwmUy1/273dey/8vl8XHXVVRx99NFs3ry5wTZer5eJEycSGxtLfHw8t9xyC3+d9eivp8D2t4+vv/46AwcOxOl08vLLLzd4mnX69Ol07NgR8J+G/b//+z/efffd2r7v62dDJBAUgEQOI/feey9jxoxh5cqVdOrUiYsvvpirr76ayZMn89133wFw/fXX73H/srIyLrvsMhYtWsQ333zDUUcdxfDhwykrK6vT7p577mHkyJGsXr2a4cOHc8kll7Br1649HveKK67g66+/5rXXXmP16tVccMEFDBs2jPXr1zfY/uOPP+bSSy/lhhtu4Mcff+Spp57ihRde4L777jug/u7vcRvbv/11++23c9NNN7Fy5UqOPvpoLrroIjweD3379mX69OlER0eTm5tLbm4uN910U6OP73K5GDlyJN999x2LFy+mQ4cODbZ75JFHeO6555g1axaLFy9m165dvP322wfaPQAmTZrEDTfcwLp16xg6dOg+2990002MHDmSYcOG1fa9b9++zVKLyAEJ8mSsIiHrsssuM84++2zDMBqeqblHjx7GXXfdVbsMGFOmTKldzs7ONgBj1qxZtetmz55tOJ3O2uW77rrL6NGjxx5r8Hg8RlRUlPHee+/t8XPKy8sNk8lkfPjhhw0e49dffzVMJpOxbdu2OutPPvlkY/LkyYZhGMbzzz9vxMTE1G7r16+fcf/999dp/9JLLxlt2rQ5oP425bj76t/ufd5+++0662JiYoznn3/eMAyjdvbxZ599tnb72rVrDcBYt25dg99BY4+9aNEi45RTTjFOPPFEo7i4eI+1GoZhtGnTxnjggQdql91ut9G2bdvanzfDMIwBAwYY48aNa3Qd06dPr9OmoZ+x//znP0aHDh1ql//8sy5yqNA1QCKHke7du9e+T0pKAqBbt2511lVXV1NaWkp0dHS9/fPz87nzzjv5/PPP2bFjB16vl8rKSnJycvb4OREREURFRZGfn99gTd9//z2GYXD00UfXWV9TU0N8fHyD+yxfvpxly5bVGZnxer1UV1dTWVlJeHh4k/rblOPuq3+N8efjtmnTBvB/5506dTrgY1900UW0bduWzz77rLYfDSkpKSE3N5c+ffrUrrNarWRmZtY7DdYUmZmZB3wMkUOBApDIIcBsNtf74+R2u+u1+/MFpyaTaY/rfD5fg59z+eWXs3PnTqZPn06HDh1wOBz06dMHl8u1x8/Zfdw9HdPn82GxWFi+fDkWi6XOtsjIyD3uc88993DuuefW2+Z0OhusY3/625Tj7qt/u7c39d/P3o7bmGMPHz6cl19+mW+++YbBgwfv9ZhNsb91RERE1Fne359dkUONApDIISAxMZHc3Nza5dLSUjZu3Njsn7No0SJmzpzJ8OHDAdiyZQsFBQUHdMzjjjsOr9dLfn4+/fr12699evXqxc8//8yRRx55QJ8dqOP+9d/P+vXrqaysbNQx7HY7Xq+3yce+5ppr6Nq1K2eddRYffPABAwYMaPBzYmJiaNOmDd988w39+/cHwOPxsHz5cnr16rXH+prax8TERPLy8jAMozb0/fWZRXvqu0gwKQCJHAIGDx7MCy+8wJlnnklcXBx33HFHvdGU5nDkkUfy0ksvkZmZSWlpKTfffDNhYWEHdMyjjz6aSy65hDFjxvDII49w3HHHUVBQwOeff063bt1qw9af3XnnnZxxxhm0a9eOCy64ALPZzOrVq1mzZg3/+te/mlzLwTru4MGDeeyxx+jduzc+n49JkyY1+vbvjh07Ul5ezmeffUaPHj0IDw8nPDy8Ucf+5z//idfr5YwzzuDDDz/kpJNOarDduHHjeOCBBzjqqKPo3Lkzjz76KMXFxQeljwMHDmTnzp089NBDnH/++Xz00Ud8+OGHdU7BduzYkY8//piff/6Z+Ph4YmJidPu8BJ3uAhMJEp/Ph9Xq/3+QyZMn079/f8444wyGDx/OiBEjOOKII5r9M5977jmKioo47rjjGD16NDfccAOtW7c+4OM+//zzjBkzhhtvvJFjjjmGs846i6VLl9KuXbsG2w8dOpT333+fBQsWcPzxx9O7d28effTRPd7VtL8O1nEfeeQR2rVrR//+/bn44ou56aab9nodTkP69u3L2LFjGTVqFImJiTz00ENNOvb48eO55557GD58OEuWLGmwzY033siYMWO4/PLL6dOnD1FRUZxzzjkHpY+dO3dm5syZPP744/To0YNvv/223h1uV111FccccwyZmZkkJiby9ddf7/O4IgebyWiOq+JEpNGGDRvGkUceyWOPPRbsUkREQo5GgEQCrKioiA8++IAvv/ySU045JdjliIiEJF0DJBJgV155JcuWLePGG2/k7LPPDnY5IiIhSafAREREJOToFJiIiIiEHAUgERERCTkKQCIiIhJyFIBEREQk5CgAiYiISMhRABIREZGQowAkIiIiIUcBSEREREKOApCIiIiEnP8HZWpT3nPUNZoAAAAASUVORK5CYII=",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax=bubble_sort_df['durasi'].plot(style='.',alpha=0.3)\n",
"bubble_sort_df.groupby(bubble_sort_df.index).mean().plot(ax=ax,legend=False)\n",
"plt.ylabel('Durasi')\n",
"plt.xlabel('Jumlah elemen untuk diurut')\n",
"plt.title(\"Bubble Sort\")"
]
},
{
"cell_type": "code",
"execution_count": 49,
"id": "c9ddfc5e-f56d-476d-b48b-0021cd7e2ac8",
"metadata": {
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Merge Sort')"
]
},
"execution_count": 49,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ax=merge_sort_df['durasi'].plot(style='.',alpha=0.3)\n",
"merge_sort_df.groupby(merge_sort_df.index).mean().plot(ax=ax,legend=False)\n",
"#merge_sort_df.groupby(merge_sort_df.index).mean().plot(c='r',ax=ax,legend=False)\n",
"plt.ylabel('Durasi')\n",
"plt.xlabel('Jumlah elemen untuk diurut')\n",
"plt.title(\"Merge Sort\")"
]
}
],
"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": "3.11.4"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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