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@mirrornerror
Last active March 29, 2024 00:16
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TSP LP with scipy.optimize.linprog
numpy
matplotlib
pandas
scipy
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{
"cells": [
{
"metadata": {},
"cell_type": "markdown",
"source": "# TSP LP: scipy.optimize.linprog"
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2019-07-17T16:02:34.535036Z",
"end_time": "2019-07-17T16:02:35.746862Z"
},
"trusted": true
},
"cell_type": "code",
"source": "import numpy as np\nimport matplotlib.pyplot as plt\n%matplotlib inline\nimport pandas as pd\nfrom scipy.optimize import linprog",
"execution_count": 1,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### Read data and parameters \ndata from: https://www.iwr.uni-heidelberg.de/groups/comopt/software/TSPLIB95/tsp/"
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2019-07-17T20:52:54.295840Z",
"end_time": "2019-07-17T20:52:54.314108Z"
},
"trusted": true
},
"cell_type": "code",
"source": "data = pd.read_csv('../att48.tsp', header=5)\ndf = data['NODE_COORD_SECTION'].str.split(' ', expand=True)\nX = df[1].values[:-1].astype('int32')\nY = df[2].values[:-1].astype('int32')\nXY = X + Y * 1j\nnum = len(X)",
"execution_count": 101,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### Plot function and Optimal tour data"
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2019-07-17T20:52:56.050114Z",
"end_time": "2019-07-17T20:52:56.401271Z"
},
"code_folding": [
0
],
"trusted": true
},
"cell_type": "code",
"source": "def draw_plot(T=False, E=False, E2=False, TX=True, size=(8, 6)):\n fig = plt.figure(figsize=size)\n ax = fig.add_subplot(111)\n ax.axis([-400, 8000, -400, 6000])\n \n if T:\n ax.plot(X[T], Y[T])\n \n ax.scatter(X, Y, s=20, color='#333333', marker='o', zorder=2)\n ax.scatter(X[0], Y[0], s=80, color='r', marker='o', zorder=3)\n \n if E:\n for e in E:\n ax.plot([X[e[0]], X[e[1]]], [Y[e[0]], Y[e[1]]], color='#888888')\n if E2:\n for e in E2:\n ax.plot([X[e[0]], X[e[1]]], [Y[e[0]], Y[e[1]]], color='#FF0000')\n if TX:\n for i in range(num):\n ax.text(X[i], Y[i]+80, s=i, fontsize=9, color='gray')\n\nT_opt = pd.read_table('../att48.opt.tour', header=4)\nT_opt = list(T_opt.values[:-2, 0].astype('int32') - 1) + [0]\ndraw_plot(T_opt)",
"execution_count": 102,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x12312cdd8>",
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "## LP \nBase constraints: Each city connects with two edges"
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2019-07-17T20:59:22.198418Z",
"end_time": "2019-07-17T20:59:32.882309Z"
},
"trusted": true
},
"cell_type": "code",
"source": "e = [(i, j) for j in range(num) for i in range(num) if i < j]\ndist = [abs(XY[i] - XY[j]) for j in range(num) for i in range(num) if i < j]\n\nA_eq = [[1 if n in (i, j) else 0 for (i, j) in e] for n in range(num)]\nb_eq = [2] * num\nbounds = [(0, 1)] * len(dist)\n \nres = linprog(c=dist, A_eq=A_eq, b_eq=b_eq, bounds=bounds, method=\"revised simplex\")",
"execution_count": 110,
"outputs": []
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### plot edges valued at 0.5 and 1.0"
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2019-07-17T20:59:34.404294Z",
"end_time": "2019-07-17T20:59:34.628598Z"
},
"trusted": true
},
"cell_type": "code",
"source": "plt.plot(list(range(len(dist))), res.x )",
"execution_count": 111,
"outputs": [
{
"output_type": "execute_result",
"execution_count": 111,
"data": {
"text/plain": "[<matplotlib.lines.Line2D at 0x123a82f60>]"
},
"metadata": {}
},
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x11c881d68>",
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### Plot subtours: Red edges: 0.5, Gray edges: 1.0"
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2019-07-17T20:59:40.713544Z",
"end_time": "2019-07-17T20:59:41.124238Z"
},
"trusted": true
},
"cell_type": "code",
"source": "E10 = [e[i] for i, x in enumerate(res.x) if x > 0.99]\nE05 = [e[i] for i, x in enumerate(res.x) if x > 0.49 and x <= 0.51]\nE15 = E10 + E05\ndraw_plot(False, E10, E05)",
"execution_count": 112,
"outputs": [
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x11c91bb38>",
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### Subtour list"
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2019-07-17T20:59:48.177770Z",
"end_time": "2019-07-17T20:59:48.223996Z"
},
"code_folding": [
0
],
"trusted": true
},
"cell_type": "code",
"source": "def subtour_list(ED):\n E = []\n for (i, j) in ED:\n E_flat = sum(E, [])\n if (i, j) not in E_flat:\n S = [(i, j)]\n while True:\n SC = S.copy()\n for (ii, jj) in ED:\n if (ii, jj) not in S and (ii, jj) not in E_flat:\n if {ii, jj} & set(sum(S, ())):\n S.append((ii, jj))\n if SC == S:\n E.append(S)\n break\n\n EN = [len(e) for e in E]\n AS = np.argsort(EN)\n ST = [E[a] for a in AS]\n return ST\n\nST10 = subtour_list(E10)\nST05 = subtour_list(E05)\nST15 = subtour_list(E15)\n\nfor st15 in ST15:\n print(st15)",
"execution_count": 113,
"outputs": [
{
"output_type": "stream",
"text": "[(2, 21), (15, 21), (2, 33), (15, 40), (33, 40)]\n[(16, 26), (18, 26), (18, 36), (16, 42), (29, 42), (5, 29), (5, 36)]\n[(0, 7), (0, 8), (7, 37), (30, 37), (8, 39), (14, 39), (30, 43), (14, 45), (32, 45), (11, 32), (19, 32), (10, 11), (10, 22), (17, 43), (19, 46), (20, 46), (6, 17), (11, 19), (12, 22), (13, 22), (6, 35), (17, 35), (12, 24), (13, 24), (6, 27), (20, 31), (27, 35), (31, 38), (38, 47), (12, 13), (4, 47), (4, 28), (1, 28), (1, 41), (23, 41), (25, 41), (23, 44), (9, 23), (3, 25), (3, 34), (34, 44), (9, 25), (9, 44)]\n",
"name": "stdout"
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### Add subtour elimination constraints"
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2019-07-17T20:59:58.270183Z",
"end_time": "2019-07-17T21:00:09.670209Z"
},
"trusted": true
},
"cell_type": "code",
"source": "st_flat = set(sum(ST15[0], ()))\nA_ub = [[-1 if len({i, j} & st_flat) == 1 else 0 for (i, j) in e]]\nb_ub = [-2]\nres = linprog(c=dist, A_ub=A_ub, b_ub=b_ub, A_eq=A_eq, b_eq=b_eq, bounds=bounds, method=\"revised simplex\")\nprint('status:', res.status)\n\nE10 = [e[i] for i, x in enumerate(res.x) if x > 0.99]\nE05 = [e[i] for i, x in enumerate(res.x) if x > 0.49 and x <= 0.51]\nE15 = E10 + E05\ndraw_plot(False, E10, E05)",
"execution_count": 114,
"outputs": [
{
"output_type": "stream",
"text": "status: 0\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x123acb550>",
"image/png": 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ZbX9Rt5CavBBCiG6rd+/eTYJ8bW1tkzXiJ02aRH5+Pu+//z51dXV4e3s3ex5vb2+WLl3K0qVLiY2Npbq6GoC33nqLOXPm3FcK3LYgQV4IIUS3FRgYiNlsprq6Gk3Tblsj3s3NjSeeeIIlS5bg4uJCREREs+e5efMma9eu5eOPPyY3N5fXXnuNqqoqgoKCqK6uvq8UuG1BmuuFEEJ0W/WD74qKiigtLSUzM5ObN2+SkZFBYGAg4eHh7N27F6UUISEhDB06tNnzvPTSS3h4eHD+/Hm++uorQkNDMRqNODs7o5RqGGXfXgPs7kSCvBBCiG6r8Qj7hx56qNmaekhIyD3PU7/oTGhoKKWlpYwcOZIrV65w6NAhNE1r9ZK2bUWa64UQQnRbXl5euLm5ce7cuftuTq+pqaGuro6amho2bNhATU0NvXr14siRIw1T5lqzpG1bkpq8EEKIbmvbtm1cunSJq1ev8uabbzakoW2NoqIiNm3aRGlpKRaLhUmTJvHoo4/y5JNP3pYCt6NJkBdCCNEt1a8RP378eHr06EFMTAyff/45Xl5eDBw4kICAgIZ583c63mQy4erqiqZpGI1GFi5cyODBgwF93ry9gns9CfJCCCG6pfo14vPz8xtS1QYHB7N//372798PgI+PDwEBAQQEBBAYGEhAQAC+vr5s376dlStXEhQURGRkJO7u7ixevLhJdrvOQIK8EEKIbqk+De2FCxe4cOECoKed/eijj6ipqaGwsJCioiIKCwu5cOECmqYBeja8a9euMXHiRPz8/DCbzezcubPZhDf2JkFeCCFEt3TrGvFWq5Xly5fTv39/gIZmdwCr1UpxcTGFhYWcOXOGq1ev4ufnR0VFBSkpKbi5udllity9SJAXQgjRbd1pjfhbOTs707t3b3r37k2/fv1YtWpVw9S4uro6u02RuxeZQieEEKJba26N+Hvtv3z5cpRSuLu723WK3L1ITV4IIYRopZa2ANibBHkhhBDiPnSGKXL3Is31QgghRBclQV4IIYTooiTICyGEEF2UBHkhhBCii5IgL4QQQnRREuSFEEKILkqCvBBCCNFFSZAXQgghuigJ8kIIIUQXJRnvhBBCiFYoKChg69atKKUwGAwkJCRw9uxZzp07B8CNGzcICwsjPj7eziWVIC+EEEK0ire3N8888wxGo5GsrCxSUlJ44okneOSRRwD48MMPGTFihJ1LqZMgL4QQQrSCl5dXw3MnJycMhm96vsvLyykpKaFfv372KNptpE9eCCGEuA81NTXs2rWLmJiYhm2nTp0iIiLCjqVqSoK8EEII0Uq1tbUkJSURGxtLQEBAw/aTJ08yevRoO5asKQnyQgghRCtomsbGjRsJCwsjLCysYXtxcTEA/v7+9irabVoc5JVSTkqpE0qpL22vQ5RSqUqpLKXUx0opV9t2o+31edv7gxqd4xe27eeUUvYfdiiEEEK00pkzZ8jMzCQjI4O1a9eyZcsWADIyMhg1apSdS9dUawbe/QQ4A/SwvX4N+LOmaR8ppf4XeB54y/bTrGnaEKXUItt+TyulIoBFwAggCPiHUmqYpmm1bXQtQgghRLuLiIhott/90UcftUNp7q5FNXmlVD9gNvCO7bUCvgUk2XZ5H3jc9nye7TW296fa9p8HfKRpWrWmaReB80B0W1yEEEII0d7MZjOnT5/GbDbbuygt1tLm+r8A/w7U2V77AyWaplltr/OAYNvzYOAygO39G7b9G7Y3c4wQQgjRaSUnJzN//nz+8Ic/MGfOHLZt22bvIrXIPZvrlVJzgEJN044ppabUb25mV+0e793tmMaf9wLwAsCAAQPuVTwhhBCiVaqrq1m/fj1OTk5YLBamTp2KwWDg73//e8OguenTpxMUFAToNfhVq1YxadIkPDw8MJlMrFixgujoaHx9fe15KffUkj75iUCCUmoW4IbeJ/8XoKdSytlWW+8HmGz75wH9gTyllDPgA1xvtL1e42MaaJr2NvA2wLhx4267CRBCCCEehKurK4mJiRgMBsxmM0lJSUybNo2hQ4eSkJDQZN/a2lp2795NXFwcVqveeK1pGs7OzphMpk4f5O/ZXK9p2i80Teunadog9IFzuzRNewbYDSyw7bYE2GR7vtn2Gtv7uzRN02zbF9lG34cAQ4HDbXYlQgghRAvU55wHvVYfGBgIwIULF1izZg1btmzBYrFw5coV3n//fbKysjCZTOzfvx8AT09PrFZrQ02/M3uQtLYvAx8ppX4LnADetW1/F/hAKXUevQa/CEDTtNNKqU+ArwEr8KKMrBdCCGEPpaWlJCUlUVxczLx58+jbty8/+tGPcHZ2ZseOHWzYsIErV67g4eHBk08+SXZ2Nr/73e8A8PHx4fvf/36nr8UDKL2S3TmNGzdOO3r0qL2LIYQQoosqKSlh7dq1vPTSS4C+wtymTZsoKioiKiqKqVOn4ubmBuh982vWrGHo0KHMnTsXAJPJxM6dO6mrqyMoKIhp06Y9cJmUUsc0TRv3wCdCFqgRQgjRzVitVpyd9fBnNBoxGo3cvHmTo0ePcvjwYQwGA2FhYcyePbvJcb6+vvj5+VFZWQno/fU7d+7kqaeewmg0dvh1tIQEeSGEEN1KYWEh27Ztw2AwUFtby0MPPcQ777xDaWkpXl5e9O3bt6GmfisfHx+uXbsGwOXLl3F1deWzzz6jpqaGKVOmMHDgwI68lHuSIC+EEKJbCQoKIjExEYvFwr59+0hJScHLy4vFixcTGhp612N9fHzIzs5G0zTKysq4cuUK3/ve96iurmbdunW8+OKL6PnfOgcJ8kIIIboNs9mMyWTCYDCwb98+zGYzkZGRTJkypUVN7j4+PlitVioqKnB3d6d///4NTf4eHh5UVFTg6enZAVfSMhLkhRBCdAvJycms+s1vGBQZycCBAzEajTz99NMMGjSoxefw8fEB4MaNG/Tr14/du3dTV1eHxWKhvLwcd3f3dir9/ZEgL4QQosszm828tXIlX6WmUnHqFCf69uV4bS3+w4aBry/Ygndz1q9fT0FBAePHjyc8PJza2lo+//xzPDw8KC0t5fXXX8fPz4/HHnusYf59ZyFBXgghuqDGgSkuLg6LxcLGjRsbmpnnzZvXMDWsOzCZTNQAeb6+DLh+nfHnzzNJ02DOHH2HQYMgMhLGjPnm56BBoBQJCQlkZ2dTWlqKj48PTk5OBAcHExcXx8GDBxk4cCAjR46049XdmQR5IYToghoHJoBjx44RFBREbGwsp06d4sCBA0ydOtXOpew4QUFBlAJPDhrE/+fhwb/m5XHew4M+f/wjXmYzpKVBejps2gT1+WN8fGDMGHqMGQNDh0JAACnJyVRXVbF927aGxWqmT59u12u7GwnyQgjRBfXo0aPJ6+LiYsLDwwEIDg4mNTXVHsWyG19fX5YvX86KFSvYHBrKFS8vXs3Jwfm3v4UvvoBf/ELfsbwcTp36JuinpcF77+lBvkcPvrV3LzEeHpi9vPj+Qw9x8eJFbt682Wmz30mQF0KIbiAwMJDz588TGhpKVlZWQ0KX7iQ+Pp7o6GhMJhNBQUE4X7oEc+dCbCxs2AAJCeDpCePH6496dXWwYwc3jh/n2MmTjDebqXB2JrhfP65evdqpF6rpXCMEhBBCtIuoqCisVivvv/8+ZWVleHt727tIduHr68uIESP0oDxmDKSmwogR8Pjj8Mc/ftNU35jBAL1742408rDZzB4fH54IC8OnZ0+Kioo69UI1UpMXQohuwMnJiVmzZgF6//ytzfndVt++kJICS5bAz34G587Bm2+Ci0vDLps3bybv7Fms+fmYXniBNenp9B80iKKiIpYvX95pa/EgQV4IIbqkzZs3k5eXh9VqxWQyMXXqVL766isMBgOBgYGderBYh/PwgI8/huXL4ZVX4MIFSErCjD4qf4q7Oz1+8xu9X37PHubW1TU0+XfmAA+yCp0QQgjxjXXr4F/+hZu9e7MsIAB3JyfeSEvDJSAAj+PHoU+fdi+CrEInhBCiWfVpWx2hltkpPfccZb16UTtvHu9euUKtUliAf+nbl7eNRhztG5WBd0II0UUkJyeTMHs2L/7gB8yZM4dt27bZu0gO6dLAgbwYFYUL4GOx8NPBgyn08sJkMtm7aK0mNXkhhEMoKChg69atKKUwGAwkJCTg7e3N5s2buXHjBj4+PiQkJDSsE97dXL9+nf/+7//mnZwcgs1m5g8bxooVK4iOjpYafSsFBQWR4+zML2bNYqrRyLncXJyt1k49iv5OpCYvhHAI3t7ePPPMMyQmJhITE0NKSgppaWn4+/uTmJiIv78/aWlp9i5mh6uuriYtLY2PP/6YuLg4XN3d8ayq4qOvvybuxg2HrH3aW33inDxXV04/9FDDa0e8Weqet7xCCIfj5eXV8NzJyQmDwUBOTg4TJ04EYNiwYRw8eJBx49pkvFKnV1hYSFpaGqdPn6ampgY/Pz/S09Nxrq3l34BiZ2dePX2a6j/8QZ8S1omWP3UE8fHxhISEsHHjRl599VXGjh1r7yLdFwnyQjiA6upq1q9fj5OTExaLhalTp9KzZ0+SkpK4du0aixcvZsCAAfYuZoeoqalh165dzJs3j+Tk5IalPd3c3Lp8FjeLxcK5c+c4ceIEJpMJZ2dnwsLCiIyMJCgoiAEDBrDD1prx59BQfhYRQci6dXDoEHz4IXSTG6C2Uv87VVNTY+eS3D8J8kI4AFdXVxITEzEYDJjNZpKSkli6dCnPPvtstxpcVVtbS1JSErGxsQQEBODu7k5VVRWg3wh1trW820pxcTFpaWmcOnWKqqoq/Pz8+Na3vsXIkSObXHN8fDwT1qyBCRP4/Y9+hOf3vge7d8Nzz8Ejj8BvfgMvvwxOTna8Gsfh5uaGu7s7JSUl9i7KfZMgL4QDUEqhlAL0YBYYGIiLiwsujbJydXWaprFx40bCwsIICwsDYODAgWRlZdGnTx+ysrIYOHCgnUvZdmpra8nMzCQtLY1Lly5hMBgYNmwYY8eOpX///g3/H27lExkJSuF59aq+4dFHISMDvvc9+M//hORk+OAD6ELfVXvq2bMnZrPZ3sW4bxLkhXAQpaWlJCUlUVxczLx58+xdnA535swZMjMzuXnzJhkZGQQGBjJt2jQ2b97MmjVr6NGjh12/l+LiYlavXs2SJUsYMGAA+/fvJzs7m7q6OiZPnkxISEiLzlNSUkJ6ejoZGRlUVFTg4+PD5MmTGTVqFJ4t6Vc3GqFfPz1rWz1fX/joI5g9G374Qxg9Gt56C7797fu82u7D19eX/Px8exfjvkmQF8JB9OjRg2XLllFSUsLatWsZNmyYvYvUoSIiIoiIiLht+/z58+1Qmtvt3bu3oSUhKyuL6upqnnvuuRYdW1dXx4ULF0hLSyM7OxulFEOGDCEyMpKQkJA71trvKDQUsrObblNKb7afNAkWL4ZnnoGvvtIH5fXs2brzdyM9e/bkzJkzWK3WhumZjW/oSktLOXz4MEopjEYj8+fPx2g02rnU35AgL4QDaPwHxmg0dqo/Ih2hs2dxy8/Px9PTsyEYf/3117i5ubFu3Tq8vb2ZOXMmbm5utx1XVlZGRkYG6enplJWV4eXlxcSJExk9evSDLSAzeDBs2dL8eyEhsGcP/O53sGIF7N+vN9/Hxd3/53Vhvr6+aJrGjRs38Pf3B5re0IWHhzNy5EgAdu/eTXp6OtHR0XYr760kyAvhAAoLC9m2bRsGg4Ha2lri4+Oprq7m448/pqioiKKiIoYMGcKjjz5q76K2ueTkZP5n+XKUqyvXNY3ly5cTHx9v72I1sXfvXubNm8f27dsBPXi7u7vz3HPPcfjwYfbv389jjz0G6GMLcnJySEtLIysrC03TCAkJ4bHHHmPIkCEYDG2QviQ0FK5cgfLy5qfOOTvri7FMn67X6qdMgZ//HH79a3B1ffDP70LqbypLSkrw9/e/7YbOqdEgRovFQmBgoF3KeScS5IVwAEFBQSQmJt62vaXNwR2ttraWmpqaOz4sFstd369/VFdXU1VSwhdHj2JVinNublx+9lkqv/Md3CMjYfhwfWUwO46qz8zMJCgoCA8Pj4Zt7u7uDBkyBIAhQ4awdetWKioqOHnyJGlpaZSUlODu7k50dDRjxowPrfm+AAAgAElEQVRp+9aJwYP1nxcvgq2W2awJE+DECXjpJXj1Vdi+XZ9qN3x4qz+yuWmeZWVlHDlyBCcnJ7y9vXn88ccdLiNh/b9N/eC7W2/oAI4fP05qairOzs4NeRs6C8f6toXoZjqimVrTtHsG5dYEZovFQm1tbYs+WymFq6vrbQ8PDw9cXV25efMmu0+fxuTtTc/ycsqdnHjoxg3cf/e7xieBAQP0wDRsmP6z/tGvH7RFzfgurly5Qk5ODpcvX6awsJBr164xZMgQTCYTISEhnDx5khs3brB69Wpqa2vp378/kyZNYtiwYe0X8EJD9Z8XLtw9yAN4e8O77+qD8r7zHYiKgj/9CV54Qf9uW6i5aZ4LFixg1KhRGAwGduzYQUZGBlFRUQ9wYR3P3d0dV1dXSkpKmr2hA4iKiiIqKooDBw5w8OBBpk2bZqfS3k6CvBCdVHJyMitXrsTFxQWLxdLQTK1pGlartU2Dcl1dXYvKZDAYmg3KXl5eTV67uLg0u9+t+zg7O991UJnZbNbzsfv68qvSUv4nOJhsPz++/PhjfIuK4Nw5yMzUf547B2vXws2b35zA3V2v6TcO/PWPB+nzbiQuLo44W3/2559/TlRUFH5+fnz00Ufs27cPq9WKp6cnkZGRREZG0qtXrzb53Luqr8nfOvjubp58EsaPh6VL9el2W7bAO+9AQECLDm9ummfjG9P6LIWORimFr68vZrMZV1fX227oFixYQE/bwEU3NzcsFoudS9yUBHkhOiGz2czKlSuJjY3Fw8ODmpoaDh06xOnTp7FarWia1qLzODs73xZw3dzc6NGjBy4uLhiNxhYHZVdX1yb9jx2hPmf4n5cvx3LpEjNKS+n1l7/g26+fXku/NdWopkFBwe3B//hx+PvfofHNTO/ezQf/kBC9z/oebm1l0TSN6Oho0tLSGkZjBwcHExkZSXh4eMfmNPDz029iGk+ja4ngYNi2DVat0vvoR42CNWtg5swWHX6naZ5FRUVkZWXx/PPPt648nUTPnj0pKipi4cKFt93Qpaenc/HiRUCv9Xe26a2qpX8s7GHcuHHa0aNH7V0MITrc6dOnefHFF4mOjsbPz48rV65gtVqJi4ujT58+GI3GewZmFxeXDg/K7cVsNuM8bx4eOTk45ea2qhm5QXW1XrOtD/yNH8XF3+zn7KzXhBsH/vpugIAAUKpJK0tdXR3f/e53sVgsXL16FRcXFyIiIoiMjKRPnz5t9yW0VlQU9Olz51H295KRoU+zO3VKn1v/+9+3eOxD/TTPl156idLSUj755BOefPJJ/Pz87q8sdrZnzx4OHz7MjBkz6NevX7vP8FBKHdM0rU1yEEtNXohOKCgoCIvFwv79+5k1axZWq5UTJ06wcuXKTjmFrL35+vrCsmWQmAhHj8LDD7f+JEYjhIfrj1sVFzet+dc/kpOhcd7ynj2xDh6MdukSPzUacfP358SCBeTl5eHn58f06dOJiIjoHFMcQ0Ph5Mn7P370aDhyRK/Rr1oFu3bpg/IiI5vdvblpnhUVFXzyySfMnj3bYQM8QF5eHnV1dfz7v/87paWlnXKGx51ITV6ITmrbtm2sWLGC8PBwhg4dyrBhw3jiiSfsXSz7MZv1Jvaf/AT+8IeO+czaWsjNbRL4b544QdWJE/SqqaFOKV56/nlyCwt55ZVXGuZLdwovvwx/+QtUVDx4rvpt2/S++uvX4ZVX4Kc/vW1Ao8lkajLNc8qUKZw9e5azZ882BPjRo0c73MA7s9nMsmXLmDBhAocPHyY3Nxej0ciXX37ZbjfcUpMXohuIj48nOjqa3NxcUlJSOt2Ang7n6wvTpsGnn+pNx/fTZN9aTk56jTg0tKFf2pKfz9WwMDwtFn41ZAgHT5zAaDQSHBzc/uVpjdBQvRUiP1+fffAg4uP1VoHvfAf+z//RWzjef1/vw7dpbppnaGgos2bNerDPtjOTydQwW6R3797k5ubi7OyMyWRyiFY1xxvqKEQ34uvrS2RkJI888ggXL17k8uXL9i6SfT31lF6zPnLEPp9fV4fvT35CRHk5vx4+nNS+fTEajSxfvrzz/cG/nxH2d9OrF3z2Gfy//6cvXTtqFCQlYTabOX36tEMv4nI3QUFBDddWVlYG6F0TQUFB9ixWi0mQF8IBREVF4eXlxZ49e1o8sr5LmjcPXFzgk0/s8/n/8R/w97+jXn+dnx88yOrVq/nyyy87Z/9s47nybUUp+Jd/0RPoDB4MCxeSGh7Oa88/z5w5c9pl2ePi4mJWrlzJpUuXSEtLY9WqVaxdu5a1a9dSWlra5p93K19fX/7v//2/WCwWvLy8Ou9N3R1IkBfCAbi4uBATE0N+fj7ZbVUzc0Q9e+qpWD/9VJ8u15HeeQdee02fQ/6v/4qvry8jRozovH/sBwzQuxva4//LsGGYv/qKTYGBxF+9yrtHjzK0Xz9effXVNq/RN84TDzB27FiWLl3K0qVLHyy/fyvEx8fTq1cvYmJiOu9N3R1IkBfCQYwePZqePXuyd+/e7l2bf+opuHQJDh/uuM/cuRO+/329b/q//7tjxgM8KGdnfc34tqzJ16upwbJiBbOKirjp7EzqiBGER0Uxbdo0duzYwY0bN9rkY+rzxDcO5unp6bz33nvs2rWrQ38PvLy8cHFx6bw3dXcgQV4IB+Hk5ERsbCyFhYWcPXvW3sWxn4QEfRGVjmqy//prmD8fwsL0z3Sk3OuDB7d9Tf74cXj4YQLffJPd/v48PmIEL7m4sH37dgoKCsjJyeGvf/0rmzZtoqCg4IE+au/evcTGxja8Hj58OC+++CJLly7lxo0bZGRkPOjVtJinpyfl5eUd9nltRYK8EA4kPDycXr16sX///hanou1yGjfZt/d3UFio53R3c4Mvv2yzVLgdZvDgtqvJV1fDf/4nREdDURF8/jna+vVUeXri6elJVVUVc+fO5Xvf+x4PP/ww2dnZrFu3jr/97W+cP3++1bXuOy38YzAYMBgMjBw5EpPJ1DbX1gIeHh5UVFR02Oe1FQe6JRVCGAwGJk2axMaNGzl16hSjR4+2d5Hs46mn9KB7+LC+klp7qKzUB/pdvaqvv96oX9hhhIbqc9tLSvSbo/uVmqonIjpzRp8v/6c/ga8v8UB0dPRtiyg9+uijxMTEkJGRwZEjR/j73/+On58f0dHRjBgxokUL8zS38E/jPPEXL17smHUAbDw8PKisrKSurs6hcvBLkBfCwQwdOpS+ffuyf/9+IiIiHG7pzjbRuMm+PYJ8XZ0ezFJTISnp/jLsdQaNp9FFRbF+/XoKCgoYP348cXFxXL9+naSkJK5du8bixYsZcOt8+spKfd35P/0JgoJg61aYMaPJLr6+vs32UxuNRh5++GGioqI4d+4chw8fJjk5mb179/LQQw8xduxY3O+SJre5hX+OHTvGxYsXMRgM+Pv7M3Xq1Af7flrBw8MDTdOoqqq6bRW6zuyefx2UUm7AXsBo2z9J07RfKaVCgI8AP+A48KymaTVKKSOwDngIKAae1jQtx3auXwDPA7XAjzVNa/v5FkJ0cUop4uLi+Pjjj0lLS2PcuDZJjOVYfHz0QXCffgqvv972y8n+8pf6DcTvf6+vzuaoGk+ji4oiISGB7Ozshqln3t7ePPvss81Pfdu/X08lnJUF3/2u/l3cR3eFk5MTERERhIeHc+nSJQ4fPsy+ffs4dOgQo0ePZty4cfcczPb4448D3H4T0oHqA3t5eblDBfmW/GZUA9/SNG0MEAnMUEpNAF4D/qxp2lDAjB68sf00a5o2BPizbT+UUhHAImAEMANYrZTqGqtnCNHBBg4cyIABAzh06BA1jXOrdydPPQV5eXptuy2tWQO/+52e3e1nP2vbc3e0+iBvG3x365QzFxeX22vT5eXw4x9DXBxYLPCPf8D//u8Dj0dQSjFw4EAWLlzIsmXLCA8PJz09nbfffpuNGzeSn58P0GmT69QHdkfrl79nTV7TR0vUL9DsYntowLeAb9u2vw/8GngLmGd7DpAE/I/SFxmeB3ykaVo1cFEpdR6IBg61xYUI0Z3U1+bXr1/PsWPHeOSRR5q8X11dzfr163FycsJisTB16lT69u1LUlIStbW11NXVMXv2bHr37m2nK2gDCQn6ojOffAK3XP99270bXnhBT5/75puOMVXubnr00DPVtXTw3a5derKbixfhRz/Sb3a8vNq8WAEBAcyaNYu4uDiOHz/OiRMnyMzMxMPDg5SUFMxmM9XV1Z1qIZguG+QBbDXuY8AQ4E3gAlCiaZrVtkseUJ/EOBi4DKBpmlUpdQPwt23/Z6PTNj5GdBEFBQVs3boVpRQGg4GEhATy8/M5fPgwSimMRiPz58/vHKt0Objg4GCGDBlCamoqY8eOxc3NreE9V1dXEhMTMRgMmM1mkpKSGDNmDP3792fKlCnk5OSwb98+FixYYMcreEA9enzTZP/HPz54k/3Zs3rT/LBh+jk7cv339tSSaXQWi77oz//8DwwZAnv3wqRJ7V40Ly8v4uLimDBhAqmpqezYsYPo6Gjq6ur4xz/+wYoVK4iOju4Uc9M9PT0BPcg3dxMdEhLC1q1buXr1KkajkSeeeOKuYw46Sot+KzRNq9U0LRLoh177bmatRurnRzR366vdZXsTSqkXlFJHlVJHi4qKWlI80Yl4e3vzzDPPkJiYSExMDCkpKYSHh7Ns2TISExPp27cv6enp9i5mlzFp0iSqq6tJvaXJuv4mC/RafWBgIL169aK6uhqAyspKh+pXvKOnntIXYPnnP++9790UFelT5Vxd4auv9D7/riI09O41+eRk+Pxz+OIL+Ld/g/T0Dgnwjbm6ujasXgdQVVVFZWVlw0IwnYGbmxtKKcrLyxtuopcuXcqCBQvYuXMnFy5cwGKxkJiYyIgRIzhw4IC9iwy0cnS9pmklSqkUYALQUynlbKvN9wPq/yXygP5AnlLKGfABrjfaXq/xMY0/423gbdCXmm3V1Qi782rUtOfk5ITBYMCp0TKXFouFwMBAexStSwoMDCQ8PJxjx47x0EMPNfn+S0tLSUpKori4mHnz5hEUFERKSgqrV6+mqqqKZcuW2bHkbWTu3G+a7GNi7u8cVVXw+ONgMkFKCgwa1JYltL/Bg+Hjj8FiYfPWreTl5WG1WjHl5vLE7t18XFtLUf/+FP3kJwyJjOTRDr75s1gs7N+/nyNHjuDi4sKBAwcaArtSqtMsBGMwGHB3d6eiogKlFMrWlVN/E52Tk8OwYcMAGDZsGJ1lmfSWjK4PACy2AO8OPIY+mG43sAB9hP0SYJPtkM2214ds7+/SNE1TSm0G/qaU+hMQBAwFOjAvpehINTU17Nq1i3nz5gFw/PhxUlNTcXZ2ZuLEiXYuXdcSGxvL2bNn+ec//8ljjz3WsL1Hjx4sW7aMkpIS1q5dy6hRowgPD+eRRx7h8uXLbNmyhW9/+9t3ObMD6NFDn9L16af6NK/WNtlrmj6C/OBB/Rzjx7dPOe0pNFSfEpibS0JCgr7tiy/0EfOFhTz38sv6bIJG3T0dJTc3l+TkZEpKShgzZgy1tbXs2LEDT09PrFZrp1sIpn6uPNx+E33u3LmG5nk3N7eG/eytJTX5vsD7tn55A/CJpmlfKqW+Bj5SSv0WOAG8a9v/XeAD28C66+gj6tE07bRS6hPga8AKvKhpWm3bXo7oDGpra0lKSiI2NpaAgABAX0UtKiqKAwcOcPDgQaZNm2bnUnYdfn5+jB49mhMnTvDwww/j4+OD1WptmD9vNBoxGo1omtbQRO/p6dlp/gg9sKeegk2b9OVPW3sD+atfwYYN8Oqr4MjjE+7GNlc+Z9cueipFz+XL4W9/g9Gj9WD/0EMdXqSqqipSUlJIT0+nZ8+eLFq0qGERmpiYmNuS63QWjVPb3noTPXLkSKqqqgC9dt8Z+uOhZaPrM4CxzWzPRu+fv3V7FbDwDud6BXil9cUUjkLTNDZu3EhYWBhhYWEATQKOm5sbFovFnkXskmJiYjh16hQHDhxg1qxZFBYWsm3btoZ+zvj4eAICAti4cSMnTpzAarU2qfU7tMZN9q0J8uvWwcqV8Pzz8PLL7Vc+O9udm8ujwMlf/YqJP/yhnrHt17+GX/xCH4PQwbKysti+fTvl5eVER0cTGxuLS6NBjndKrtMZeHh4cOXKlWZvogcOHMjZs2cJCwsjKyurycp59tQNU2WJ9nTmzBkyMzO5efMmGRkZBAYG4unpycWLFwE993R9E75oOz169GDs2LEcO3aMsLAwKisrefzxx2/7Y/ncc8/ZqYTtyNsbZs7UM9P9+c8ta7Lfs0efKvatb8Hq1Y4/Ve4OzGYzb6xbx2Rg7pUrnPHw4KWhQ1n14x/j+4AB/tbsefVOnDjBl19+yS9/+csm+5eXl/OPf/yDs2fPEhAQwJNPPknfvn0fqAwdrT5/fXM30SEhIWRmZrJmzRqMRmNDAh976/ZBvri4mNWrV7NkyZKGbEq7d+/m5MmT/PjHP7Zz6RyH2WxuaGL7j//4j9venzx5sh1K1b088sgjHD9+nFWrVpGeno7FYulU84zb1VNP6SPEDx6ERquW3RqI0tPTObJvH04ZGXgvXszjr72Gsx1qsx3hypUrJCcnM2HqVMpTU7ng5cV3+/bFzcsLk8n0wLXlW7Pngd5qd+bMmSZJdzRN4/Tp0+zcuROLxUJcXBzR0dFNBuQ6Cg8Pj4aBdomJibe9P3v2bDuU6u66fZDfu3dvk2aVmzdvcv36dTuWyPEkJyezcuVKXFxculdg6WSqq6s5c+YMw4cP59KlS1y+fLlTzTNuV3Pm6APHPvmkSZC/NRAN8PJi1BtvYDCb2bF6NRmXLxNlGzfSVZhMJg4ePMiFCxdwdXXlXGYm0yMisFj1tCZWq7VNRqzfmj0PIDU1lXHjxpGcnAzAjRs3SE5OJicnh+DgYGbOnIm/v/8Df7a91I9pSUtLY/DgwQ7xe+U4S+m0g/z8fDw9PZv8Z711/WLRjMpKuHwZTpyg7LPPOPTjH/P93Fze/vprXCorWbFiRadLSdkdmEwmbt7Uk1PW37h2pnnG7apxk32j5WebBKLqanyXLsVw6RJs2oSTv79DrSZ2L3l5eXzyySd88MEH5OfnM2nSJH7wgx/w9NNPY3BywtPTE6PR2G4j1isrK8nNzW2YRnb06FHeffddTCYT06ZN45lnnnHoAA9w9uxZAFasWMGcOXOaz/nfyXTrmvzevXuZN28e27dvB/Sm+5qaGsdO9dlaFou+FOW1a/qjqOib5809ioqgUVpHb+A3jU43ITCQQ97ebdIcKFqnb9++DB48mIqKCg4ePAi0Xa3NITz1FGzcCAcO3J7MRdP0Pvj9+2HDBoqGDiXrs894/vnnmz9XB7m1O0HTtFZnTbt8+TIHDhwgNzcXd3d3Jk+ezNixYxuySsbHxze7HGxb279/PxMnTuTatWuUlZWxc+dOQkNDiY+Pb7bW72jMZjMbN24kKioKPz8/TCaTQ7SUddsgn5mZSVBQUJOsX3v27GHKlCn2K9SDqqvT142+V5Bu/Lqk5M7n8/aGgAA993Xv3jBihP680aPUzY3fvvUWYSEhLHvjDfxLS7H6+HSfwNKJXLlyhZ49e3L8+HHc3d075TzjdtW4yf7WIJ+SAuvXw8qVlM6axaZPPmHhwoV2X6b31u6ExlnT0tPTOXDgQLOzIDRN49KlSxw4cIDLly/j6enJo48+SmRkJK7NjDHoiBHr165d49y5c5jNZurq6ujTpw8LFixoSBrj6EwmU8PNSl5eHvBNS1ln/h3rtkH+ypUr5OTkcPnyZQoLC7l27Rrl5eVs2bIF0Pvmt27dysyZM+1TQE3TV4O6V5Bu/Cguhto7pB4wGr8J2L166Vm9evVquq3xw99fP+YeKq9epVdsLBkmE1eMRh6qqGB0dwosnYTVamXv3r0EBgby1ltvUVBQ0CnnGbcrLy+YNUtvsv/LX6B+YNehQ/rCK0uWUPGv/8onGzYwe/Zs/Pz87Ftebu/XvlfWNE3TyMnJ4cCBA+Tn5+Pl5cXUqVMZM2ZMk2loHWHz5s0N2fOys7Opra2lvLycMWPGcPHiRbu3krS1+t8ns9lMia1y5AgtZd02yMfFxTVM+/j888+JiopqslbxG2+80bYBvrpaD8L3CtSN37PlGb+Nk5MehOuDdHh484G6cRD38GjzaUIWi4XNmzfj6enJyy+/jNv580w5cgTD9Olt+jni3tLS0rhx4wYLFy7Ez8+vUwQwu3jqKfjsM73JPi6OzW+/Td7p01gnTMA0Zgw99uyhtLS0oS919OjRREVF2bnQ36isrGw2a5qmaWRnZ3PgwAEKCgrw9vZm2rRpjB492m6tEQkJCdTU1LBv3z6OHTuGp6cn8+fPZ8iQIXYpT3tzd3fH39+fzMzMTpuRrzndLsg3nupV/4/T3HzGu06fq61t2o/dktp2Wdmdz+fr+01QHjAAoqJuD9KNHz4+D77iVhvYtWsX169f5+mnn9bnu86dqy/ucf48DB1q7+J1G9XV1Rw8eJCBAwcSEhJi7+LY1+zZ4O5O1QcfcLm8nDm/+AWGXr302rztxmfWrFl2LuSdubu7N8ma5ubmRlZWFgcOHODq1av4+PgQHx/PqFGj7DYFrf5vqKZp7N+/nxs3bjB27FgmT57cpVeXrM/18bOf/Yy6ujqHaSnrVkG+2ale06dDaWnLm8SvXdMDvHaHtXM8PZsG5OHD71zLrm8Wt3O/4P3IysoiLS2N6OhoBtUv6FHfD7pvnwT5DpSamkplZSVTpkzpMv2f983LiytRUbiuXYvbhx9SarFw8vXXmeQgLRv1WdOGDx/Onj17KCsr47PPPqNnz57MnDmTESNG2HV+eXJyMn/6058YPnw4/fr1w2g08u1vf5v+/fvf+2AHl52djZubG8OHD3eoWRmOF13uk9lsZuXKlazKzWWI2Yy5thbvuXPRNA1lmz96GxeXprXpMWPu3iTu7w+dJF9xeyorK2Pr1q307t27SaYrwsP172DfPn3RD9HuysrKOHLkCOHh4fTp08fexbE7s9nM29eusdxqpUdtLd8dNoyz77zDl81k/+sMGvdrm0wmFi5cSGpqKv/1X/+F1WolMDCQ6dOnEx4ebvfAYjabeeWVV5g1axZKKc6cOcOFCxdYsmSJXcvVETRN4+LFiwwaNMju/w6t1W2CvMlkwsXFhR51dfhUVOANXPD0hPnz6XWn4O3t3WXTXd4vTdP46quvsFqtzJ07t2mtQik9Ecm+ffYrYDdz4MAB6urqmt5sdWMXLlygx6RJ1GVmsnvgQNK9vPDsxCOg61eFq6ur48yZM7z33ntcv36dgIAAYmJiCAsL6zRBxWQyNfT/X7x4kVOnTuHp6dlpv9u2dPXqVcrLyxlsW+zHkXSbIB8UFITFYuH1OXMY4e5O2AcfEG82U7dlCzz8MCxaZJfFGhzNkSNHyM3NJT4+vvnEFpMm6SuCFRSAg+WldjTFxcVkZGQQFRVFz5497V0cu7ty5QqHDh3i5sCBPP3YY1y0Za7sjCOg6/u1+/Tpg8lk4tChQ5jNZgICApg3bx7Dhw/vdF0vQUFBuLi4YDAYuHbtGtA5v9v2kJ2dDeCQY146xy1iB/D19WX58uUopSgLCGBFeDiH3ngDw6hR8KMf6XPAk5Lu3NcuuHr1Knv27GHYsGGMGTOm+Z0a98uLdrVnzx5cXFyIiYmxd1Hs7ty5c3z44Yc4OzszcuRITOXl7Z7h7X4lJyczf/58Xn/9dVatWsWWLVtwdXXlySefJDExkbCwsE4X4EH/G/qd73wH0JeT7ozfbXvJzs6mT58+eHp62rsordZtavKgZ37SNI2TJ0/y5Zdf6v85f/hDSE6Gf/93WLgQxo+H3/8epPmzifrpch4eHsyYMePOf4TGjtWn6+3bp09nEu0iLy+PrKwsJk2a1CShU3ejaRqpqans2bOHoKAgnnzySTw9PZk8eXKnXJO8fmzQ1KlT8fT0pLi4mJMnT/Luu+86xLTHkJAQsrOzWb58OSEhIZ3qu20vlZWVmEwmHnnkEXsX5b50m5p8PU9PT+rq6r5p3lRKz3mdlgbvvQd5eTB5MsybB2fO2LewnUj9dLk5c+bcPc2miws88ojU5NuRpmmkpKTg6enJuHHj7F0cu6mtrWXLli3s2bOH8PBwFi1a1FDT8vX1ZcSIEZ0uCJlMJvr379+w/HL971VBQYG9i9YiZrMZV1dXxo4d2+m+2/aSk5ODpmmEhobauyj3pdsF+fqBI3WNFrEA9AQziYmQmQmvvqqnwRw5El54AbrDAh93kZmZSVpaGuPHj2+yYt8dxcZCRsbdU+aK+3b+/Hny8/OJjY1tNoVpd1BZWcnHH3/MqVOnmDhxInPnzu3wjG/3w8/Pj4iICK5fv86xY8cAx+rXvn79On5+fp2yO6G91E+d6+ugY4y6XZCvHw1uvdO0OQ8P+PnP4cIFva9+7Vp9zvcvf6nPp+9mysrKSE5Opk+fPky6NR/4nUyapI9tOHSofQvXDdXV1ZGSkoKfnx+jR4+2d3Hsori4mHXr1mEymZg7dy6xsbEOE3SOHDmCm5sb6enpeHh4OFy/ttlsdpiytoX6TIMhISGdZpZDazlmqR9AfU2+9k453uv16qXnvz57FhIS4Le/hSFD4M039ZXbuoHG0+XmzJnT8iQcEyboCX6kyb7NZWRkcP36dSZPnuywf3QeRG5uLh988AE1NTUsWrSIiIgIexepxTIzMzlz5gwTJ05kw4YNrF69mi+//JL4+Hh7F61FamtrKS0t7VZB/urVq1RUVDhsUz10s4F30IKa/K1CQ2HDBvjpT/XBeT/8oR78X30V5s/v0vPoDx8+TG5uLjNmzGjdOtCennpqXgnybaqmpoYDBw4QHBzM0C6WUbCgoICtW7eilMJgMJCQkNAQTHbv3s3JkyeZPHky27dvx8/PjwULFuDj42PnUt1eevAAACAASURBVLdcZWUl27dvJzAwkAkTJuDk5ORwwbKkpARN0xyu3A/CkafO1et2VYEW1+Rv9fDD+kpWX32lr862cGGXHmB25coV9u7dy7Bhw+6vWXjSJDh8GGx5uMWDO3bsGDdv3uyS6Wu9vb155plnSExMJCYmhpSUFEBfDbK4uJjKykqSk5MZOHAgixcvdqgAD7Bz504qKyuZNWuWXdPSPgiz2QzQrYL8hQsXHHbqXL1uF+RbXZNvTCl9Kcv09G9G4sfFdbmR+DU1NXzxxRf3ni53N5MmQU0NHDnS9gXshioqKvjnP//JkCFD6Nevn72L0+a8vLwaFjdxcnJq6IrYvXs31dXVVFdXExUVxYIFCxxuEZTz589z+vRpJkyYQO/eve1dnPt23ZZcyBGm+rWFyspKCgoKHLqpHrphkL/vmnxjjUfi/+5334zE/+539UxvDq7F0+XuJjZW/9lFWzo62sGDB7FYLEyePNneRWlXNTU17Nq1i5iYGHJzczl37hz5+fm4u7szbdo0hxuHUFVVxbZt2xrS1Doys9mMm5vb/f9NcDAXL1506Klz9RzrN6YNPFBN/lYeHvCLX3wzEn/NGn1w3vLld19athPLzMwkPT295dPl7sTfHyIiJMi3gZKSEk6cOMGoUf9/e+cdHtV17ut3jcqoCwm1kShiBEKVZklgQEAwWAZjcMGJHTuh2PE9iR3HObk5N8nJIediJ9cnT06unRs7jh1jHBNXbIplImzTMViFpoKEBBJVDQlJqJfRvn/smbHoqIxm9sx6n2eemVmztfe3NHv2b6+1vpJMSEiIvc2xGSaTiY0bNzJ79mx6enp47733EEJocvRuYefOnbS2tmp6mt6CK3nWd3Z2sm3bNnp6eti2bRvl5eUUFBSwfv161q9fzyuvvMKHH35obzNvC5cTectIvqenh87OTt58803Wr1/PG2+8YXWyADhy5AjPP//87e3U4olfXKzWVH/+eYiJ0ZwnvqW6XL/C5W5GejocOACDmTWRsHfvXnQ6HbMtsyNOiKIobNq0yZrS9d1336W3t5egoCAOHDhAS0sL//znP+1tZr84deoUBQUFzJgxwykqBLqSyHt4eODp6cmkSZNYvnw5O3bsIDk5mZUrV7Jy5Uqio6M1E9nhciJvuZs2mUx4enqyatUqVq5caf0iQb0BKC4uJiAgoH87j4mB999XHc4SE1VPfI3kxLeEy5lMpmuryw2U9HQ1t0B+/uD35aJUV1dTXFxMSkoK/v7+9jbHZhQXF1NaWsr+/fv54IMP0Ol0/OQnP2H16tU8/vjj+Pn5sWjRInubedt0dnayfft2Ro4cqflpelCvia4UPldTU0N7eztGo5HOzk7CwsKsn5lMJk6ePMnEiRPtaOHt43IhdH1H8kIIq1NZ3y8yOzublJQUsrKyBnYQiyf+P//5TU78GTPUnPhDMUK2AX3D5YbMsaZvsZqpU4dmny7G7t278fb2ZsaMGfY2xSZYqrGFh4czefJkCgsLmTJlCosXL7b+VgGeffZZO1p5a64OAQwICLCOfP/+978TERHBokWLNBsVYfGsdxWnu/LychRFsVYHXLZsmfWzkydPMnbsWE1kWAQXH8kDXL58mXXr1vHOO+8QHx9Pe3s7Z86cITY2dnAH6uuJ/+abcPas6ol///0O54k/6HC5GzFmjPqQ6/IDoqKigjNnznDnnXdqdk36ZmRlZbFkyRKee+45fv/731NYWMjs2bO57777rhB4LdA3BNBoNFJYWMjUqVP50Y9+xOrVq2ltbaWiosLeZg4YVwufKy8vJzIykieffJIf/OAHbNu2zfpZfn4+ycnJdrSuf2jrlzQE9B3JAwQEBLB69WoaGxtZv349iYmJzJo1a+gO6OYGq1er9epffllNopOUBE8+Cf/5n3avuW4Jl/P19R14uNzNSE+HL79Ulys0OoqxB5YiNIGBgUx1wlkQSzW2gIAAa1ravLw8nnrqKU2Odv38/AB1RvDw4cPo9Xruvvtu6+d9wwK1SENDA4qikJmZiYeHB93d3dx1112MHj2aTZs20dbWhre3N8uWLcPLy8ve5g6K9vZ2a20IAL1eb73J7uzs1FxYnXbPugHSdyTf18Pe8kXW19ezb98+NmzYQEtLCxs3bhyaA/f1xH/mGYfxxN+xYweXLl3i3nvvtU1ozOzZUFMDJ08O/b6dmOPHj1NbW0t6errmRrW3Q2VlJR4eHvj6+uLm5kZ3dzdtbW1UarwY1I4dO2hqarpiueH06dO0tLQMLlrFzjQ0NODt7c0TTzxxhQ/ToUOHiIyMZOXKlSQmJvLVV1/Z29RBYwmdKyoq4u233+a9996zph4+fvw4EydO1NSNqPNdPW5B35F8bW0t27dvR6fTYTKZyMjIuOIO7U9/+hPLly8fWgNCQ9UR/bPPwr//u+qJ/9pr8JvfqBXvhnGd58SJE+Tn5w8+XO5m9F2Xd7JUrLaip6eHffv2ER4erhkP3v4SGRlJd3c3p0+fprGxkdmzZzNjxgxNj3YrKio4dOgQcXFxJCUlAaoD144dO3j00Uc1JQxX09DQQHBwsPX7sfgw1dfXEx8fD0BUVBTZ2dn2NHPQNDQ0cPjwYXx8fPjBD35wzfmoxVk17f6iBohlJF9ZWYm3tzerVq1ixYoVrF69+popGJs6+/T1xE9I+MYT/+OPh8UT//Lly/2vLjcQ4uMhOBj277fdMZyMI0eO0NTUxNy5czUtDDcjKCiINWvWoNfr6e7uZv/+/fj7+7Nt2zbKysrsbV6/6ezs5IMPPsDf358HHngAUDPEbdmyhYceeggfHx87Wzg4LCVmr/ZhCgsL46R5lq6srIz29nY7WzpwLD4i5eXlnDx5ki+++MLeJg0JLifyX375JQCffvopS5YsYfv27fY1KDUVdu2CzEzw9ITly2HmzCEVxV27dlnzAdTU1NDb2zv04XI3QqdTp+yl891t0dHRwYEDB4iOjtZ0UYzbISMjg8zMTF599VU++ugjnnrqKUJDQ9m0aRPHjh2zt3n94pNPPqGzsxNvb2/+8Y9/sG3bNrKysujo6GDz5s2sX7+e0tJSe5s5ILq7u2lpaSEoKMjqw2RxRps2bRo9PT28/fbbNDc3azbM0+IjEhERgV6vp66ujrVr11odDrWMS03XNzQ08MILL1jLpnZ2drJ27VrS0tLs6zUqBNx7L9xzD7z9tlq7Pj1dzYn/f/6POhoeINXV1VRWVvLEE0/Q1NTE5s2bmThxImfPnh3acLmbkZ4OW7dCdTU4QVIQW5KdnU1HR4fTp6+1EBQUdMVv75FHHmHLli1kZWXR0tLCzJkzb3s2Y8OGDVRVVTF9+nTmzJnD6dOn2blzJzqdDiEE999//5AXtmloaKCgoICzZ88ya9YsFixYMKT7dwQsQtc3b4jFh8nNzY3FixcDagGlfucWcRAsPiKWc7GmpgZ3d3cqKys1H1HgUiJfWVmJXq9HCGEVN4f6Ivt64r/0Erz44qA98evr6zGY/y4wMJC6ujpqamqGPlzuZvRdl3/44eE5pgZpbm4mLy+PhIQEp8iQNhA8PT158MEHycrKYv/+/bS2trJgwYLbWqtfunQp5eXlXL58GYDRo0ezevVqQF0Cyc7OvsLjfbBkZWXxu9/9jnnz5gFqpIozYhF5RVF46623rvBhunjxIp999hk6nY6wsLAh/f8OJxYfEZPJhMlk4vLly+j1eiIjI+1t2qBxKZGPjIyks7OTuro6a+nAnp4ex/sifXzgV7+CH/wAXngB/vIX2LAB/uf/VB/9mBILCwsjOzsbk8lEZWUlLS0tjBw50jbhcjdi2jS1T1Lkb8r+/ftRFMW2PhIawDI69PX1JTs7m9bW1tuKnb96FNl3Gaqzs3NIK8BZZgWnT5+Or68vu3fvZseOHdx5552OMWAYQiwiHxsbe9348JUrVw6zRUOPxUdk27ZttLe3o9frWbNmjVN8ly61Jm/5IisrK/Hx8WHkyJGO/UVaPPEtOfHXrlXD7l599bZz4oeGhpKcnMw777zD1q1bEUIMrrrcQPDwUDP+yXX5G1JXV0dBQQFTp05lxIgR9jbH7gghmDdvHvPnz6e0tJQPP/yQjo6Ofu+ntLSU119/ndzcXEaPHj1k9lVWVuLp6cnIkSPp7Ozk4sWL1llBZ6O6uhq9Xk9bW5u9TbEpGRkZJCcnYzQayczMtIbNaR2XEnlQv8j/+q//AuBXv/qVNr5Iiyd+dra6Pv/00/3yxE9NTeXOO+/k8uXLhIaGEh0dbXubryY9Xc3+19Q0/MfWAHv27MHDw4M777zT3qY4FKmpqdx3331cuHCBd999l+Z+5pSIjY3lqaeeYv78+dbaFEOBZVbQkvgmPDzcMWcFB0lWVhbZ2dlUV1c7hqOyDVEUhebmZkaPHu24A78B4HIiD+paXUhICFVaq/2elqZ64n/6qTo6Xr4cZs26pSf+W2+9xcaNG3F3d+exxx4bJmOvIj1dvSE5cMA+x3dQ6uvrWbt2LaWlpURERPDhhx+yfv16Xn75Zae+oPaHhIQEHn74YZqamtiwYQP19fW39Xd9k115eXkNaa5xy6xgdXU1HR0dxMfHO/as4ACwLEkEBgYSEBBAXFwcL730klN4nF+P9vZ2urq6nG4mzaXW5PtiNBrJy8ujs7NTW3nBhYAlS77xxF+z5htP/BdfhLi4Kzbv7e3Fy8sLb29vVq5caT/v1xkzwN1dnbLXUDUxW7Nnzx68vLzw9PRk+fLlViH6xz/+QWJiop2tcxyio6N59NFH+eijj/jHP/7B8uXLrxk1b926lfPnz9PT00NlZSWxsbHk5+cjhMDNzY0lS5YMqU0ZGRmkpaWxd+9eSkpKmDx58pDu395UVlbi7u7O8ePHCQkJYfz48cTGxvLBBx+QlpZGQkKC5lPY9sVy8yJF3kkwGo3k5ORw9uxZJmgxE5u7OzzxBDz66LWe+L/5DRgMNDQ0sHfvXs6ePcuiRYvsW0HK11d1wJPr8lYuXLhAd3c3nZ2dpKSkWAW+tbWVxsZGRo0aZWcLHYuIiAgef/xxPvzwQ95//32WLVtGTEyM9fOlS5de8zfTpk2zqU1BQUHcc889lJeXk5uby3333WfT4w0nFo/z48ePA2rkg9FoZO7cuXzxxRfs3LnTGqUzduxYzSduamxsBJxP5F1yuh5g1KhReHp6curUKXubMjgsnvinTsGPfqRWvBs/npOPPcYPHnmE48ePU1lZ6RgOQenpaoa/AThQOSN79uyhsbERvV5/RbbFwsJCp01nO1iCgoJ4/PHHCQ4O5uOPP6agoICGhgaKiorsNo2s1+uZPHkyxcXFNDmRz0nfrIS+vr4IIfje977Hk08+yYoVK5g8eTLl5eV88MEHvPbaa+zbt88qlLZk27Zt/O1vf+ONN96goKBgyPbrrCJ/y5G8EGI08HcgAugFXlcU5WUhRDDwARANnAa+rShKg1Bv514GFgNtwEpFUQ6b97UC+LV51y8oivL20Hbn9nFzc2Ps2LHWusFavwslNBT+9Cd49lm6fv5zxr/7Lh/odBxsbubnikJeXh7Tp0+375phejr8939Dbu43sfMuSmlpKW5ubjQ2NmIwGK6IAy8oKLCmRpVci6+vL48++iibNm1i27ZtFBcXc+bMGbq6ulizZo1dnGlTUlI4dOgQeXl53HXXXcN+fFthWZKorKwkMjLSev2IiIggIiKCb33rW5SVlZGfn8+BAwc4cOAAY8eOJTk5mdjY2CGvuV5bW8vFixd58skn6ezs5K9//euQlX1tbGzEz8/P6QpC3c5Ivgf4maIo8cAM4GkhRALwC2CHoigTgB3m9wCLgAnmx1PAXwDMNwW/AaYDacBvhBB29VIxGo00NzdTV1dnTzOGlvHjKXvhBd4xGnHr7aWkvp7u7m7HCO+xlPCVU/ZcuHCBkydPIoSgrq6Ozz//nMbGRqtT2ciRI+1soWOj1+tZsGABlZWVxMfHk5SUZM1gaY8RfUBAAPHx8eTn5w8o1M+RCQoKIjEx8boDBHd3d+Lj4/nOd77DD3/4Q2bPnk1jYyOZmZm88sorbN++naqqKpQhqsfh7++Pm5sbJpOJrq6uIQ0FbmxsdCrHSQu3vGVRFKUKqDK/bhZCFANRwDJgnnmzt4HdwP8yt/9dUb/Vr4UQI4QQBvO2XyiKcglACPEFcA/w3hD2p19YpkjLy8sJDQ21lxlDTqTBgHtNDeV6Pa+Z61w7RHhPSIgaAiiL1eDp6Ym7uzvf/e53ycvLY9q0aYwYMYJdu3YN2cjE2ampqaG4uJjIyEirsNszg2VaWhpFRUUcPXqUGTNmDPvx7U1AQACzZs1i5syZnD17loKCAgoLCzl69CghISFMmjSJxMTEQRXr8fLyIjg4mD//+c90dXUNqQ9EY2OjU9aL6Ne8hBAiGpgKZAPh5hsAFEWpEkKEmTeLAs71+bPz5rYbtV99jKdQZwAYM2ZMf8zrNwEBAYSGhlJeXs706dNteqzhJKiwkKDWVv7LaMTXz4+enh7HCe9JT1dj/k0mNY2vi9HQ0EBFRQXZ2dnExsYyatSoKxzsvvWtb9nROm1hcQwDrM/2vJkNCwsjOjqaQ4cOkZKS4nTTvreLEIKxY8cyduxYFi5cSHFxMfn5+ezcuZPdu3czfvx4a9KZ/pYWLi8vp7m5mR//+Md0dnby1ltvMX78+EH/ry1FeJxtPR76IfJCCD/gY+A5RVEu32QN+3ofKDdpv7JBUV4HXgdISUmxec1Vo9FIbm6u9kLpbsbLL0NwME/t3cuSxsYr1tLsTno6vP46FBTAlCn2tmZYycrK4vnnn2fSpEmMGTNG07XTHYGgoCB+9rOfUVRUhKenp0OkIk1LS+PDDz/k+PHjw1cbwoHR6/VMmTKFKVOmcPHiRQoKCigqKqK0tBQ/Pz8SExNJTk6+7eUpRVHw8vJCp9Ph6emJyWQakqUAZ3W6g9sUeSGEB6rA/0NRlE/MzTVCCIN5FG8Aas3t54G++SNHAZXm9nlXte8euOlDg9FoJDs7mzNnzhAbG2tvcwZPRQVs3gz/638RFBVFUNQ1kyX2pW+xGhcSeUspy4CAAMaMGUNFRQWZmZnMmTPHcW7ANMi8efMoKiri0UcfdYi88dHR0YSFhZGTk0NycrL2HXqHkNDQUObPn8/cuXM5deoUBQUF5OTkkJ2dTVRUFJMmTWLixIk3HWzFxMRQWFjIunXrMJlMpKWlDYlzn0uLvNlb/k2gWFGUP/b5aCuwAnjR/LylT/szQoj3UZ3smsw3AtuB3/Vxtrsb+OXQdGPgREVFWUPpnELk//xntYb7j35kb0uuz9ixMHq0KvI//rG9rRk2LKUsJ02ahBCCkpISx6qAqFEsozhHma0SQpCWlkZmZibl5eVXxPFLVNzc3IiNjSU2NpaWlhaKiorIz8/nn//8J19++SVxcXEkJyczatQo601SQ0OD1cP//vvvH3KbLCLvCOfQUHM7I/lZwPeAAiHEUXPbr1DF/UMhxBPAWcBSXmwbavjcSdQQulUAiqJcEkI8D+Sat1trccKzJ25ubkRHRztHKF1zM/ztb2qlN0dOpJKeDjt3qmlutfz/7geW9eOSkhJmzpyJl5cXra2t9neGlAw5cXFx7Nmzh5ycHCnyt8DPz4/p06dbw/Ty8/MpKSmhoKCAoKAgkpOTqaur48UXX8TDw4Pu7m6bhEla8lU4UwY/C7dcFFQUZb+iKEJRlEmKokwxP7YpilKvKMpdiqJMMD9fMm+vKIrytKIoMYqiJCuKktdnX+sURRlvfrxly471B6PRSEtLi/ZD6davh8uX4Sc/sbclNyc9Haqr1QQ+LoIlsUhLSwugTl3ae/3YGbCM5B3p5tzNzY2UlBTOnj2rvfoYdkIIQVRUFIsWLeLpp59m8eLF+Pn5sXfvXoqKipg5cybjxo2ju7vbJmGSjY2NjBgxwqHOo6FCev7wTSidprPf9faqDnczZoCjRwr0XZd3ITIyMvjoo4/Q6/U89NBD2qiAKBkQkydPxtPTk5ycHHubojk8PT1JTk7mu9/9LvPmzePUqVMEBQUxceJEFEWxSc4Pi8g7I1LkURMsWELpNMtnn6kj4+ees7cltyY+HoKDXU7kAYKDgxk1ahSXLtl9pcopcMSRPHzjVX7ixAmnSnU73MTGxlJeXo5Op+PUqVMoijLkYZK9vb1S5F2BmJgYLly4QGdnp71NGRgvv6yuwz/4oL0tuTU6Hcye7ZIiD2AwGKivr7/mXKuvr+f555/n7NmzdrJMMpTccccdCCHIzc299caS6xIUFMT3v/99AM6dO2eTMMnm5mZ6e3ulyDs7RqOR3t5eTp8+bW9T+k9BAezYAc88o9aZ1wLp6XDypLo272JEREQAasa2vuzdu5exY8fawyTN4qgjeVCTbSUkJJCfn097e7u9zdEkvb29tLa2Mnr0aP77v/+bzMxMmzjdgXOGz4EUeSuRkZHo9XptTtm//DJ4e8MPfmBvS24fF12XB3UkD1zhlHXhwgV8fX0JCAiwl1maxJFFHtTkON3d3Rw9evTWG0uuoaKigubmZu64444b5s8fLM4cPgdS5K1cHUqnGS5ehA0bYMUKdZ1bK0ydqt6YuKDI+/j4EBAQQHWfWYy9e/cye/ZsO1olsQWhoaGMGzeOQ4cO0dPTY29zNMexY8fw8fFhwoQJNjtGY2MjOp0Of39/mx3DnkiR74MllO7ixYv2NuX2+etfobMTnn3W3pb0D09PNRLgOiLfd2363Llz/OUvf+GFF17g8uXLdjDUNhgMButIvrS0lMjIyEEV7nBVHH0kD+povrW1laKiInuboilaWlo4efIkycnJuNmwzkVDQwOBgYFOm2baOXs1QCwViDQzZd/VBa+8AhkZqse61khPh/x8uMr7uO/adGhoKE888cQVRVycAYPBQFNTE21tbVRXV3P69Gk2bNhAeXm5teys5NZoQeTHjh1rTXWrqVlCO1NQUICiKDavAdDU1OS06/EgRf4K/P39CQsL0068/EcfqY5rWgibux7p6Wp8/8GD1qar16a9vLzw9PS0l4U2w+J8V11dzZw5c1ixYgWPP/44RqORu+++26kvOq6GEILp06dz6dIl7Vxb7IyiKBw7dowxY8YQbONlyIaGBqf+vUmRvwpLKF1HR4e9Tbk5igIvvQRxcXD33fa2ZmDMmKGWm+0zZe8qa9MWkb86I9r9999v8xLLzoRWRsYTJ07E399fJse5TU6fPk1TUxOTJ0+26XHa29vp7OyUIu9KGI1GFEVx/FC6AwcgL09NYavVtSQ/P5g2zSryrrQ2rdfrGTFiBGVlZUOeotMVceTpelAde1NTUzl37tyQZ2tzRo4dO4a3t7fNi4Y5e/gcSJG/Bs2E0r30EgQFwfe+Z29LBkd6OuTkQGenS61NZ2VlUVhYyNmzZ1myZAnbt2+3t0maRAtr8hYmTZqEXq+Xo/lb0NraSllZGYmJibi731Y19AHj7OFzIEX+GnQ6HePGjXPsULozZ+CTT+Cpp8DX197WDI70dDU6IDf3umvTJpOJv//979TU1PDxxx87RfYwS2353t5e9Ho9Pj4+Nim6IXEsLKluS0tLnfbmdbAcPXqUv/3tb7S3tw9LhUbL9xAYGGjzY9kL294maRSj0UhJSQm1tbWEh4fb25xr+fOf1RKtTz9tb0sGj3n9vWbjRjz7JLvoWzPaktbSWbDUlq+pqWHMmDG4u7vL2vIDREsjeVBT3ebm5pKbm8vChQuv+Kyqqop//vOfCCHQ6XQsXbrUpc6H9vZ2srOz8fLyIjAwkIMHDxJv46ihhoYGfH19ndK514IcyV8Hhw6la2lRa8Y/9BCMHm1vawZNVl4eFd7eVLzzjstMW1tqy1tG7nq9fsiLbrgaWhF5f39/EhISKCgouCbVrb+/P4899hirVq1i5syZ7N692z5G2okLFy4QFBREY2MjKSkpdHV12TyBkDMXprEgRf46+Pn5ER4e7pgi//e/Q2OjdsPm+mCZti7092dKYyM9HR0uMW1tqS1vMpkA9eIua8sPDIddUrsJllS3hw8fvqLdz88PvV4PqI56zpqc5Ua0t7fT0NCAXq9n4sSJeHl52TznvxR5F8ZoNDpeKJ2lZnxamhp+pnEuHjrEM2fPsrC+Hq/eXpa2tdmkVrQjkpGRwSeffIKbmxuPPvqorC0/QLQ2XQ9qgiej0cjhw4evO1Lt6upi586dzJw50w7W2Q+dTkddXR2JiYl4eHjQ0dGBt7e3zY7X09NDc3OzFHlXxRJKV1FRYW9TviErC0pL1VG8hi5qV6AosH8/PPwwE+65h4fPnyd3xAi2PfQQ+fHxLjVtHRwcTGBgIF1dXfY2RfNoSeRBHc23tbVRWFh4RbvJZGLjxo3Mnj2b0NBQO1k3jDQ3q7OTv/89uo8+orenh6SkJJqamvD09LSpd32TOdOms4u8dLy7AZGRkXh5eVFeXm5z54/b5qWXIDISli+3tyX9p7MTPvxQnYk4dAiCghA/+xlfJSXxq9de457JkwmurGT1//gfLjVt7e/vT3Nzs73N0CxanK4HGDNmDBEREeTm5jJ58mSEECiKwqZNm4iLiyMuLs7eJtoWRYEXX4Tnnwc3N5SODsa7ubEoOZltQiCiorhn0SKbmuAKMfIgRf6G6HQ6oqOjqaioQFEU+48Uiorgiy/gt7/VTs14gNpaeO01ePVVqKlRc+z/5S9qfL+vL3OBzCVL2LRpEwaDweWmrf39/R0/8ZIDo8XpelDtTU1N5dNPP+XkyZNMmDCB4uJiSktLaWlpIT8/n7CwMBYvXmxvU23Diy/CCy+Aec1dAB49PaTk5ZFy/Dj8+tfqgMaGuEKMPEiRvykxMTGUlJRQU1NjTUNqN15+Gby81Nh4LXDkiGrze++phXQWLVKXGRYuvGapISgoiAkTJnDw4EG6urqcOpzlavz9/WltbaW3t9flL289XQAAIABJREFUHK1cnbi4OPbs2UN2djYTJkwgISGBhIQEe5tle5qb1RH8jZzq2trUG4Af/1jNimkjGhoa8PDwcPoMm/KqchMcJpSuvh7eeUcd/YaE2NeWm2EywaZNMHeumq5240Z48kkoKYFt29Qc+zcYcUVGRqIoCjU1NcNstH0JCAhAURRaWlrsbYom0epIHtTZwtTUVC5cuMD+/fudPqrEyqZNas2Km6HTqdvZkOrqarq6unj77bd58803+f3vf2/T49kLKfI3wdfXl4iICPuL/OuvQ0eHmqfeEWlshD/+EcaPhwcfVDPy/eEPcP68Wgp34sRb7uJGBVucHX9/fwC5Lj9AtLomb6Gmpoauri4++eQTl8kTQXW1ej27CUpHB9j4WtDR0UFsbCwrV65kxowZTjuLIkX+FhiNRiorK20er3lDurvVDHcLF0Jion1suBGlpfDMMzBqFPzsZzBmDHz8MZw8qb7vh0OLr68vgYGBLifylpK6ly9ftrMl2kaLI/mGhgZ+97vfceHCBcLCwpgwYQIvvPCC84/oIyLUpceb0KXT8fWZMxw9epS2trYhN0FRlCvqyOfn59u8br29kCJ/C+weSrdxI1RWOk7yG0WBzz+He+9VR+hvvKF6+x8+DHv2qCP5AYa9GAwGl4iR74scybsulvTGFRUVdHR0EB8fz4IFCzh48KA1UZJT8sAD6tLeTXAXguK4OLZv386f//xn3n///SEV/JaWFnp6eggKCqKtrY26ujpGO0EG0eshHe9ugcFgwMvLi4qKiuGfzlEU+L//F2Jj4Z57hvfYV9PWpvoF/OlPcPw4hIfDf/4n/Mu/qK+HAIPBQElJCa2trfhqvfDObaLX6/Hw8JAiP0As0/Xd3d28+eabuLm50d3dzV133YVOp2Pnzp3odDqEENx///0OVYjEkt64paWFzMxMQkJCmDRpEgUFBZw/f57Zs2cTHx+vyVmKm+LvD//xH6pz3fVE28cHt1//mpXPPMPFixcpKSnhxIkTbN++nc8//5wxY8YQFxdHbGzsgJ3m+hamKSoqIiEhwfn+z2akyN+Cq6vSDeuJ8PXXkJurTtfby/P63Dl1Xf3116GhQXWoe/tt+M53wJyCc6iwJMGpqqpi/PjxQ7pvR0UIIWPlB4FF5D09PVm1ahU6nY6GhgY2btzI6tWrWb16NQBHjhwhOzubu+++257mXoElvfHatWtxd3enubmZ+fPnM2HCBPbs2cOnn35KdnY2c+bMwWg0OpcI/eIX6rM5Tp6ODnUK32RSw+d+8QuEEISFhREWFkZ6erpV8EtKSgYt+JYlkaCgIHbv3s19991ni146BFLkb4OYmBiKi4uprq7GYDAM34FffhkCA2HFiuE7JqgzCAcPqsl3PvlEff/AA+qSwaxZNsu2Fx4ejhCCyspKlxF5UKfs5Zr84LBUbgPo7OwkLCwMtz4e3J2dnQ5ZUTIjI4O0tDQqKyuJjIy0xmwbjUaKi4vZt28fGzduJCoqirlz5zrPlLIQ8Mtfqj49mzerTnYGg3qduU7Y3FALfmNjI0IITCYTPT09Tp1dUIr8bdA3lG7YRP7cOXU9/qc/tWms6BV0dcFHH6ninpenOs799KfqD3HsWJsf3sPDg9DQUJdzvpMJcQZO3xC6y5cvs3HjRurr61m2bBkApaWl7N69m87OTh577DF7mnpDgoKCrknIIoQgISGBiRMnUlBQwFdffcW7777LuHHjmDt3rkPesAwIf381NLgfXC34tbW1nDhx4grBHzt2rFXwr5f/vrGxkYCAAEJCQnhKK7lHBogU+dvAx8cHg8FAeXk5s2bNGp6DvvKKOoJ+5hnbH6u2Fv76VzUTXVWV6lD36qvw/e/DMK+NW9blHSLL4DAREBBAS0sLJpPpitGn5PYRQhAQEMDq1atpbGxk/fr1xMbGWh9FRUXs2LGDhx9+2N6m9gs3NzemTJlCYmIihw8f5uuvv2b9+vXExcWRnp5OcHDwoI9xvTr2Fj+B+vp6nn32WWsUiKMhhCA8PJzw8PBrBD8rK4vt27dfV/Dr6urw8PCgoaFBZryTqBiNRr766iva2tpsnyGptVVdA3/wQduOoI8dU5cE3n1XzS1/zz2wbp2atMZOPgAGg4Fjx47R0NAwJBcwLWDxsG9tbXXYi6mjYhnJ9/VG1+v16PV6enp6rAVOvLy88NBSOuir8PDwYPr06UyZMoXs7Gzy8vI4ceIEycnJzJo1a1DnjaWOvV6vp6ysjN27d7No0SKeeOIJ3n333SHshW25nuBbpvT7Cn5PTw8XLlygurqadevWsWbNGqdOpy1F/jaxiPzp06dt72X/zjuqk5stwuZMJvj0U1Xcd+8GHx9YvRqefRYcoChGX+c7VxP5y5cvS5HvJxaRb2xs5K233kKn02EymcjIyCA/P5/8/HyEELi5ubFkyRI7Wzt49Ho9c+bM4Y477uDgwYMcPXqUoqIipk2bxowZMwY0APHrsxxoqWPvdYs4dkenr+DPmTPHKvjHjx/n8uXLeHp6otPp6OzsZO3ataSlpTntiF6K/G0SERGBt7c35eXlthV5S834lBQYynrSTU3qKP3//T+oqFAT1/z+92raWQc6uUeOHImHhwdVVVUkOlryHxthEXbpYd9/LOmA9Xo9q1atuubzadOmDbdJw4Kvry8LFiwgNTWV/fv3k5eXx7Fjx0hNTSU1NRX9ACJfLHXsLf4MzkJfwR85ciRr1qwhJibGmpPD3d2dyspKpxV5mQznNrk6lM5mfP65muv9Jz8ZGi/2sjJ1lD5qFPzrv0JUlOrQd+oU/PznDiXwoP6fIyIiXCopjkyIMzCysrL4j//4DwB+/vOfu0ZK2KsIDAzk3nvvZfXq1URHR/PVV1/x17/+ldzcXHp6em57P65Sxz4qKoqamhp27drFmTNnAOjp6bHOIDojUuT7gdFopL293bbe3y+/rKZ9/Pa3B74PRYEvv4QlS1QnutdeU0NT8vJg3z546KEBZ6UbDgwGA7W1tf26SGkZvV6Pp6enDKPrBw0NDTz//PNW58zu7m7Wrl3r/Clhb0BISAgPPPAA3//+9wkLC2Pnzp28/vrrHDt2jN7e3pv+rSvVsbfkJtDr9fj6+qLX61mzZo3TjuJBTtf3i76hdEN552f1bm1vRxceztIf/Ygzx4+zZ88ea4auBx988NbrtW1tsGGDmpWuqAjCwtTMUj/8oXrjoBEiIyPJycnh4sWLw5uXwE4IIfDz85Mj+X5gSQlrWU8OCQmho6PDqaddbweDwcAjjzzCmTNn2LNnD1lZWeTk5JCens7EiROvG7FyvTr206dP57PPPqOmpoaPP/6YpKQkUlNT7dCjoedGuQmcFSny/aBvKN3s2bOHbL9W79bnnqMsN5fdGRmMA6ZOncqcOXNuvQNLtbfXX4dLl2DKFFi/Hh55ZMiz0g0HFmGvqqpyCZEHdV1eivztY0kJW1payvjx4wkJCeH06dNOPe3aH8aOHcv3vvc9ysrK2Lt3L1u2bLE6oY0bN+4Ksb9RHfvvf//7w2nysHK93ATOipyu7ycxMTFUVVUNaWUkPz8/9K2t8PbbuM2bh87sIXvs2DHWrVvHzp07r/UDsGSle+QRiI5WnejmzVOLxBw+rGbJ06DAg3rT4+vr61JJcWRq2/5hmXa1OE1FRETwq1/9ymUu3LeDEILY2FhWr17NvffeS0dHBx999BHvvfceFy5cANRlj6KiIpdd5nAF5Ei+nxiNRvbv309FRcXQen+/8QZdPT3snDiRZTNn4ufnZy19uGXLFvLz85k8ebKalW7jRnXtPidHTXv73HNq0pzo6KGzx44IIVyuIp2/v79MiNNPLNOuJSUl7N2713mywA0xOp2OpKQk4uLiOHbsGAcPHmTDhg0EBASwZcsWOjo66O7udvp4cVdFjuT7SUREBD4+PpSXlw/dTru7Mb3yChv/5V+YfffdhIaG4u3tjU6ns/5AK0+dgt/+VhXyxx6Dxka1cM358/CHPziNwFuIjIzk0qVLdHR02NuUYcHiYW8JCZPcHkFBQdx5552Eh4dTWFhob3McGnd3d+644w6eeuopUlNTqa+vZ968edxxxx3WeHE5onc+pMj3EyEE48aNo6Ki4pZeq7eL8sknbJo+nbipU63erVZxy8+n4rXXCPnDH9TqTMnJsG0bFBfD008PX177YcayFl9dXW1nS4YHGSs/OJKSkqipqeHixYv2NsXh8fT0JDw8nD179tDb22uNYrEsfUicCzldPwCMRiNFRUVUV1cPiaNP8fvvU5qYSIsQ5K9fT1hoKPpz56goK0PX2MjIxkbumjQJ/vY3GO6a9nYiwhwNUFlZSbSTzVJcj75Z7yT9JyEhgV27dlFQUMD8+fPtbY7DExkZSVtbGz09PVb/ImePF3dVbinyQoh1wBKgVlGUJHNbMPABEA2cBr6tKEqDUF02XwYWA23ASkVRDpv/ZgXwa/NuX1AU5e2h7crwYfFOPXXq1KB+FA0NDTRkZZGweTMJ8+eruerXrVNrLJeXw+jR6lr7k0+Ci6R4teDl5UVwcLDLON/Jkfzg8PHxISYmhuPHjzNv3jxr2VnJ9bE4Ln799dd4enq6RLy4q3I7v4T1wD1Xtf0C2KEoygRgh/k9wCJggvnxFPAXsN4U/AaYDqQBvxFCaPZs8vb2xmAwUFFRcUV7Z2cnb775JuvXr+eNN9646bp9VlYWS5Ysofy552jV6Ti7fbuale6nP1Vj2j/8UBX6f/s3lxN4C5GRkVRVVdk2w6CDYEmII0V+4CQlJdHa2nrN71JyfTIyMggODmbWrFlkZmZKpzsn5ZYiryjKXuDSVc3LAMtI/G3g/j7tf1dUvgZGCCEMQAbwhaIolxRFaQC+4NobB01hNBqpqqqitbXV2ubp6cmqVatYuXIly5cvZ8eOHdf9W0u2rpmtrdxVW4tPby+GbdvoXLQIcnPhq6/g4YcdOivdcGAwGGhtbXUZ4ZNhdIMjJiYGb29v6YDXD9zd3QkMDJQjeCdmoHNa4YqiVAGYn8PM7VHAuT7bnTe33aj9GoQQTwkh8oQQeY7sRBMTEwNwxajBUo8Z1FF9WFjYdf+2oqKCKVOmkBGl/gu2jB7Nt9PSOLlmjVqYRgJ843znKs5AUuQHh5ubG/Hx8ZSVlblMVMZg0el0LjFT5soM9cLV9SqqKDdpv7ZRUV5XFCVFUZQURy6UEB4eft1QusuXL7Nu3Treeecd4uPjr/jMZDKRm5vLnj17GDVqFO9FRLAgJYUXwsKodXOTTi9XERYWhpubm8usy/v7+0vHu0GSlJSEyWSipKTE3qZoAiHEkEUJSRyTgc4H1wghDIqiVJmn42vN7eeB0X22GwVUmtvnXdW+e4DHdgiEEBiNRk6ePElvb691BB8QEMDq1atpbGxk/fr1xMbGAnDq1Cl27tzJpUuXGDduHHq9nszMTNx9fND39Einl+vg5uZGWFiYy4h8QEAAra2tmEwmamtr1XoG5tmhpUuXArB582aEEAgheOCBB2T9+auIiIggJCSEgoICpkyZYm9zHB6dTidF3skZqMhvBVYAL5qft/Rpf0YI8T6qk12T+UZgO/C7Ps52dwO/HLjZjoHRaKSwsJCqqiqioqLo6enB3byOrtfr0ev11NfXs3PnTsrLywkKCmL58uUYjUaEEMyZM8dliiQMlMjISPLz86+4kXJW+ibEsdYz0OspKytj9+7d+Pr6MnXqVKZMmcLRo0fJzs5m4cKFdrbasRBCkJSUxO7du7l06RLBLuq0ersIIeR0vZNzOyF076GOwkOEEOdRveRfBD4UQjwBnAUeNm++DTV87iRqCN0qAEVRLgkhngdyzdutVRTlamc+zREdHY0QgvLycqKioqitrWX79u3odDq6u7sJCwtj3bp1uLu7861vfYs77rjjipSlrlQkYaAYDAYOHTpEfX29U9e5hivryo8aNcra7ubmhk6nIzQ01LrW3N7ejq+vr13sdHQSExPZs2cPhYWFt1fgyYWRI3nn55YiryjKozf46K7rbKsAT99gP+uAdf2yzsHx9vYmMjKS8vJy0tPTiYyMZMWKFeTn57N3717q6+uZPHky6enp8oI8QPo63zm7yFum3vuuy3d1dbFz506WLVuGp6cnGzZs4MiRI5hMJp588kl7merQ+Pn5ER0dTWFhIenp6dctrypRkSLv/Lh2jNYQYDQa2bdvH4cPH0av15OTk0NtbS2jRo1iwYIFsmjGIAkKCkKv11NVVaUW6HFi+o7kQXXU3LhxI7NnzyY0NJSPP/6Y+fPnEx8fT0FBATt27ODee++1p8kOS1JSEp9++ilnzpxxiYyJA0U63jk/UuQHiSW3+kcffcSIESPw8PBg6dKlxMXFyRHEEGCpSOcKznd9E+IoisKmTZuIi4uz1jMANbMbgK+vrwwTuwkTJkxAr9dTWFgoRf4mWELoNmzYQFVVFdOnT2fOnDmcPn2ajz/+mJEjRwJw9913y+gfjSJFfhA0NDTwxz/+kSVLlhAQEEBhYSFnzpxh1apVUuCHkMjISA4ePEhXVxeenp72NsemWMLoiouLKS0tpaWlhfz8fMLCwkhPTyczM9M6xbpkyRJ7m+uweHh4EBcXx/Hjx+ns7ESv19vbJIfEci4tXbqU8vLyK5aKJkyYYI3qkGgXKfKDoLKyEnd3dwoLC6mrq6Ourg5fX18qKyulQ90QYjAYUBTFugzizAQEBNDc3ExCQgIJ1ylGtHr1ajtYpU2SkpI4duwYpaWlJCcn29sch0Sn09HT03PdUMxTp07x1ltvER4ezsKFC/Hw8LCDhZLB4twxSTYmMjKS7u5uSkpKqKurA2QlJ1vgSpnvPD091cJFsq73oImKiiIoKEimub0JNwqhMxgM/PjHP2bVqlXo9XoOHDhgB+skQ4EU+UFgqeSk1+vx9fWVlZxshK+vLwEBAU6/Lp+VlcWWLVvo7OzkvvvuY/v27fY2SdNYYubPnj1LU1OTvc1xSG7kXa/X6605PyZNmuT0vz1nRor8IMnIyCAzM5NXX31VVnKyIZaKdM6KpWiRxefAz8+PtWvXyhH9IElMTASQo/kbcCOR7+vUWVFRYXXAk2gPuSY/BMikNrbHYDBQUlJCa2urU+YcOHfuHFOnTmX06NG0t7djMplwd3eX/h2DJDAwkDFjxlBYWMjMmTOlQ+xVWLzrt27dyvnz5+np6aGyspKYmBiOHDmCh4cHPj4+LFu2zN6mSgaIFHmJJrCsy1dVVTF+/Hg7WzO0XLp0iezsbEaPHk1xcTFFRUUoioJer5f+HUNAUlIS27Zt48KFC07vuNlfuru7aW9vJz09/ZqbydTUVDtZJRlK5HS9RBOEh4cjhHC6KfuSkhLefvtt2traMBqNlJWV4ePjI/07hpCJEyfi4eFBQUGBvU1xKLKysti3bx/V1dUsWbJE+oA4KXIkL9EEnp6ehIaGOo3I9/T0sGvXLg4fPkxkZCTLli0jICCABQsWyKJFQ4ynpycTJ06kpKSEBQsWyFAwvvEBSU1Nxd3dnc7OTtauXUtaWpo875wMKfISzWAwGDhx4gSKomh6bbWxsZEtW7ZQXV1Namoqc+fOtRYukv4dtiEpKYnCwkLKysqum3/Alejt7eXQoUPWKfre3l6EENIHxEmRIi/RDAaDgWPHjtHQ0KDZEqJlZWV89tlnADzwwAPExsba2SLXYMyYMdaslK4q8t3d3RQUFJCbm0tjYyOenp4cPXqUs2fPoiiKzPHhpEiRl2gGywWoqqpKcyJvMpnYu3cvOTk5hIeHc//99zNixAh7m+UyCCFITEzk66+/prm52VoMyBVobW3l8OHDHDlyhPb2dgwGA3PnzuX06dPs2LHDGg8vfUCcEynyEs0wcuRIPDw8qKqqssY/a4HLly+zdetWLly4wNSpU5k/f771wioZPpKSkjh48CBFRUXMmDHD3ubYnLq6OnJzcykqKsJkMjFhwgTS0tKIiopCCEFcXBzTp0+XPiBOjrzSSDSDTqcjIiJCU+lty8vLyczMxGQycd9997nsVLEjEBwcTFRUFIWFhUyfPl3Tfh03QlEUzp07R05ODqdOncLd3Z3k5GRSU1OvO/slfUCcHynyEk1hMBg4dOgQJpPJ6qzmiPT29rJ//34OHjxIaGgoy5Ytk1nDHICkpCS2b99OdXW1NfeCM9Db20tJSQm5ublUV1fj4+PD7NmzmTp1qrU8scQ1kSIv0RQGgwGTyURtba3DXqRbWlr49NNPOXv2LMnJybKClwMRFxfHl19+SWFhocOeP/2hs7OT/Px88vLyuHz5MsHBwWRkZJCYmCjPOQkgRV6iMfo63zniRfrs2bNs3bqVzs5OFi9eLEucOhheXl5MmDCB48eP861vfUuzvhHNzc0cOnSIo0eP0tnZyejRo1m4cCExMTFOuQwhGTjaPMMlLou/vz++vr4OlxRHURS+/vpr9u3bR1BQEN/5zncIDQ21t1mS65CcnExJSQmnTp1i4sSJ9janX9TW1pKTk0NxcTGKojBx4kRSU1Nl6JvkhkiRl2gKIQQGg8GhnO/a2trIzMykoqKC+Ph4MjIy0Ov19jZLcgOio6Px8/OjsLBQEyKvKAoVFRXk5uZy+vRpPDw8mDp1KikpKTIMU3JLpMhLNIfBYODkyZN0dHTg5eVlV1vOnz/P1q1baWtrIyMjg8mTJ8vpUgdHp9ORkJBAXl6eQ1c1NJlMHD9+nNzcXC5evIifnx9z585lypQpdj/vJdpBirxEc1jW4qurq4mOjraLDYqikJuby549ewgICODxxx8nIiLCLrZI+k9SUhI5OTkcP37c4aqtdXR0cPToUQ4dOkRLSwshISEsXryYhIQEh44okTgmUuQlmqNv2Vl7iHxHRwfbtm2jrKyM2NhYFi9eLKfnNUZoaCgREREUFhY6jMg3NTWRm5tLfn4+3d3dREdHs2jRIsaNGydnhyQDRoq8RHN4eXkRHBxsF+e7qqoqtmzZQnNzM/PnzyclJUVegDVKUlISX375JbW1tYSFhdnNjqqqKnJycjhx4gRCCOLj40lLS7OrTRLnQYq8RJMYDAZOnz49bBXpFEXhyJEj7Ny5Ex8fH7773e8SFRVl8+NKbEd8fDw7d+6ksLCQ+fPnD+uxFUXh1KlT5OTkcO7cOTw9PUlNTeWOO+4gICBgWG2RODdS5CWaxGAwUFRURHNzs80vip2dnWRlZVFSUoLRaGTJkiV4e3vb9JgS2+Pj48P48eM5fvw48+bNQ6fT2fyY3d3dFBUVkZuby6VLlwgICGD+/PlMmjRJLvlIbIIUeYkm6bsub0uRr62tZfPmzTQ2NjJ37lynzXnuqiQlJVFaWkpFRQUxMTE2O05bWxtHjhzh8OHDtLW1ER4ezn333UdcXNyw3FxIXBcp8hJNEhYWhpubG5WVlTaJdVYUhYKCAr744gu8vLx49NFHGT169JAfR2JfjEYj3t7eFBQUXFfk6+vrefXVV1mxYgWRkZFs3bqVpqYmAgMDWbp06S0z5l26dInc3FwKCwvp6ekhJiaGtLQ0Ro8eLW8WJcOCFHmJJnF3dycsLMwmznddXV188cUXFBYWMnbsWO677z6HjaWWDA43NzcSEhI4evQo7e3t1yzD7N27l7FjxwJw9OhRRo4cyYMPPsiePXs4evQoKSkp1+xTURQuXLhATk4OZWVluLm5kZiYSGpqKiEhIcPSL4nEghR5iWYxGAwUFBTQ29s7ZFOedXV1bNmyhbq6OmbNmsXMmTPldKqTk5SUxKFDhygpKWHq1KnW9gsXLuDr62sdcZ8+fZpZs2YBEBsby4EDB64Q+d7eXkpLS8nJyaGqqgovLy/uvPNOpk2bhp+f3/B2SiIxI0VeolkiIyM5fPgw9fX1Q5InvqioiO3bt+Ph4cG3v/1txo0bNwRWShyd8PBwQkJCKCgouELk9+7dy7Jly/j8888Brhjpe3l50d7eDqgzPwUFBeTl5dHY2MiIESNYuHAhSUlJeHp6Dn+HJJI+SJGXaBaL811lZeWgRL6np4cvv/ySY8eOMWrUKJYuXYq/v/9QmSlxcIQQJCUlsXv3burr6xk5ciSlpaVERkZeUYvd29ubjo4OQI24cHd3Z+/evRw5coSOjg6ioqKYN28eEyZMkLM/EodBirxEswQFBaHX66mqqmLy5MkD2kdDQwObN2+mtraW6dOnM2fOHHmBdkESExPZs2cPhYWFzJ07l+rqak6fPs25c+eora2lrq6O8ePHW9fYMzMzuXjxImfOnCE2NpbU1FRGjRpl725IJNcgRV6iWSwV6fo6323YsIGqqiqrYN+MEydOsG3bNnQ6HQ899BDjx4+3tckSB8XPz49x48ZRVFREeno6c+bMsZ4/mzdvZurUqfT09LB161Z27dqFm5sbKSkppKWlERQUZGfrJZIbI0VeomkMBgNff/013d3deHh4sHTpUsrLy7l8+fIN/8ZkMrFr1y4OHTqEwWBg2bJlBAYGDqPVEkckKSmJrVu3snfvXiZPnkxQUBAmk4kJEyawa9cuampq8PHxYcGCBUydOlUmRJJoAinyEk0TGRmJoijU1NQwatSoWybGaWpqYsuWLVRVVZGSksK8efNkZS8JABUVFXR1dfHJJ5/wm9/8hieffJLm5maam5sJDg7mnnvuITEx8Zax8RKJIyHPVomm6et8d6s10ZMnT/LZZ5/R29vL/fffb5MkOhJt0tDQwG9/+1smTZrEmDFjCAsLo7KyEoPBQEZGBkajUSavkWgS6WEk0TS+vr4EBATcNClOb28vu3fv5uOPPyYwMJCVK1dKgZdcQWVlJR4eHtTV1SGEoKGhgf3793PHHXcQExMjBV6iWeRIXqJ5rna+60tzczNbt27l/PnzTJkyhbvuuktOt0quITIyku7ubioqKrh06RJNTU3o9XoiIyPtbZpEMijk1U6ieQwGAydOnKC1tZWgr8X0AAAIc0lEQVQdO3Zw/vx5enp6OHnyJK2trXR3d7NkyRISExPtbarEQQkKCmLNmjWsXbuWnp4e9Ho9a9askZ7zEs0jRV6ieSyjrerqapYuXUpvby9fffUVBw4cICQkhPvvv5+RI0fa2UqJo5ORkUFaWhqVlZVERkZKgZc4BcMu8kKIe4CXATfgb4qivDjcNkici/DwcIQQHDt2DC8vL/bt28eZM2dISkpi4cKFMrWo5LYJCgqS4i5xKoZV5IUQbsArwELgPJArhNiqKMrx4bRD4lzs3LmTxsZGcnNzKSgowNvbm0WLFjFp0iR7myaRSCR2Zbi969OAk4qilCuK0gW8DywbZhskTkRDQwPPP/883d3dBAYG0t3dza5du2Ttd4lEImH4RT4KONfn/XlzmxUhxFNCiDwhRN7FixeH1TiJ9rCEPlVXV9Pa2squXbtoa2ujsrLS3qZJJBKJ3RnuNfnrBZsqV7xRlNeB1wFSUlKU62wvkVixhD4VFxdTXFx8RbtEIpG4OsM9kj8P9J1HHQXIIZdkwFhCn/R6Pb6+vjL0SSKRSPow3CP5XGCCEGIccAF4BPjuMNsgcTJk6JNEIpFcn2EVeUVReoQQzwDbUUPo1imKUjScNkicExn6JJFIJNcy7HHyiqJsA7YN93ElEolEInE1ZIEaiUQikUicFCnyEolEIpE4KVLkJRKJRCJxUqTISyQSiUTipEiRl0gkEonESZEiL5FIJBKJkyJFXiKRSCQSJ0WKvEQikUgkTooUeYlEIpFInBQp8hKJRCKROClS5CUSiUQicVKkyEskEolE4qRIkZdIJBKJxEmRIi+RSCQSiZMiRV4ikUgkEidFKIpibxtuiBDiInDGBrsOAepssF97IvukDWSftIHsk3Zwxn5NVBTFfyh25D4UO7EViqKE2mK/Qog8RVFSbLFveyH7pA1kn7SB7JN2cMZ+CSHyhmpfcrpeIpFIJBInRYq8RCKRSCROiquK/Ov2NsAGyD5pA9knbSD7pB2csV9D1ieHdryTSCQSiUQycFx1JC+RSCQSidPjUiIvhLhHCHFCCHFSCPELe9tzM4QQ64QQtUKIwj5twUKIL4QQZebnIHO7EEL8ydyvfCHEtD5/s8K8fZkQYoU9+tLHltFCiF1CiGIhRJEQ4ifmds32SwjhJYTIEUIcM/fpf5vbxwkhss32fSCE8DS3683vT5o/j+6zr1+a208IITLs06NvEEK4CSGOCCEyze+doU+nhRAFQoijFg9mLZ9/ZltGCCE2CiFKzL+tO7XcJyHERPP3Y3lcFkI8p+U+mW35qfkaUSiEeM987bD9b0pRFJd4AG7AKcAIeALHgAR723UTe+cA04DCPm2/B35hfv0L4L/MrxcD/wQEMAPINrcHA+Xm5yDz6yA79skATDO/9gdKgQQt98tsm5/5tQeQbbb1Q+ARc/trwA/Nr38EvGZ+/Qjwgfl1gvmc1APjzOeqm53PwX8F3gUyze+doU+ngZCr2jR7/pnteRt40vzaExih9T716ZsbUA2M1XKfgCigAvA2v/8QWDkcvym7foHD/E++E9je5/0vgV/a265b2BzNlSJ/AjCYXxuAE+bXfwUevXo74FHgr33ar9jO3g9gC7DQWfoF+ACHgemoyTncrz73gO3AnebX7ubtxNXnY9/t7NSXUcAOYD6QabZR030y23Caa0Ves+cfEIAqHsJZ+nRVP+4GvtJ6n1BF/hzqDYe7+TeVMRy/KVearrf8ky2cN7dpiXBFUaoAzM9h5vYb9c1h+2yefpqKOvLVdL/M09pHgVrgC9S760ZFUXquY5/VdvPnTcBIHKxPwEvAvwG95vcj0X6fABTgcyHEISHEU+Y2LZ9/RuAi8JZ5aeVvQghftN2nvjwCvGd+rdk+KYpyAfgDcBaoQv2NHGIYflOuJPLiOm3OElpwo745ZJ+FEH7Ax8BziqJcvtmm12lzuH4pimJSFGUK6ug3DYi/3mbmZ4fvkxBiCVCrKMqhvs3X2VQzferDLEVRpgGLgKeFEHNusq0W+uWOuqz3F0VRpgKtqFPZN0ILfQLAvD69FPjoVptep82h+mT2H1iGOsUeCfiinoNXM+S/KVcS+fPA6D7vRwGVdrJloNQIIQwA5udac/uN+uZwfRZCeKAK/D8URfnE3Kz5fgEoitII7EZdFxwhhLCkje5rn9V28+eBwCUcq0+zgKVCiNPA+6hT9i+h7T4BoChKpfm5FtiEelOm5fPvPHBeUZRs8/uNqKKv5T5ZWAQcVhSlxvxey31aAFQoinJRUZRu4BNgJsPwm3Ilkc8FJpi9GT1Rp4G22tmm/rIVsHiIrkBd07a0f9/sZToDaDJPZ20H7hZCBJnvJO82t9kFIYQA3gSKFUX5Y5+PNNsvIUSoEGKE+bU36o+5GNgFLDdvdnWfLH1dDuxU1MW1rcAjZq/accAEIGd4enEliqL8UlGUUYqiRKP+TnYqivIYGu4TgBDCVwjhb3mNet4UouHzT1GUauCcEGKiueku4Dga7lMfHuWbqXrQdp/OAjOEED7m66Dle7L9b8qeThV2cH5YjOrRfQr4d3vbcwtb30Ndu+lGvXt7AnVNZgdQZn4ONm8rgFfM/SoAUvrsZzVw0vxYZec+zUadWsoHjpofi7XcL2AScMTcp0JgjbndaP7xnUSdbtSb273M70+aPzf22de/m/t6Alhk73PQbNM8vvGu13SfzPYfMz+KLNcALZ9/ZlumAHnmc3Azqie51vvkA9QDgX3atN6n/w2UmK8T76B6yNv8NyUz3kkkEolE4qS40nS9RCKRSCQuhRR5iUQikUicFCnyEolEIpE4KVLkJRKJRCJxUqTISyQSiUTipEiRl0gkEonESZEiL5FIJBKJkyJFXiKRSCQSJ+X/A8N5bOhaeuDjAAAAAElFTkSuQmCC\n"
},
"metadata": {}
}
]
},
{
"metadata": {},
"cell_type": "markdown",
"source": "### Subtour elimination constraints loop (2min 11sec)"
},
{
"metadata": {
"ExecuteTime": {
"start_time": "2019-07-17T21:03:04.388426Z",
"end_time": "2019-07-17T21:05:15.263126Z"
},
"trusted": true,
"code_folding": [
0,
21
]
},
"cell_type": "code",
"source": "def st_elim(ST10, ST05, ST15):\n st_flat = None\n if len(ST15) > 1:\n st_flat = set(sum(ST15[0], ()))\n else:\n if len(ST15[0]) == num:# and is_loop(ST15[0]):\n st_flat = set(sum(ST15[0], ()))\n print('Optimal')\n else:\n if len(ST05) > 0:\n for st05 in ST05:\n st05f = set(sum(st05, ()))\n for st10 in ST10:\n st10f = set(sum(st10, ()))\n if len(st05f & st10f) >= 2 and len(st05f | st10f) < num / 2:\n st05f |= st10f\n st_flat = st05f\n\n print('st:',st_flat)\n return st_flat\n\nwhile True:\n E10 = [e[i] for i, x in enumerate(res.x) if x > 0.99]\n E05 = [e[i] for i, x in enumerate(res.x) if x > 0.49 and x <= 0.51]\n E15 = E10 + E05\n \n ST10 = subtour_list(E10)\n ST05 = subtour_list(E05)\n ST15 = subtour_list(E15)\n \n st_flat = st_elim(ST10, ST05, ST15)\n \n if st_flat == set(range(num)):\n print('Optimal')\n draw_plot(False, E10, E05)\n break\n \n if st_flat is None:\n print('st_flat is None')\n break\n else: \n cnt = 0\n for i, j in E10:\n if len({i, j} & st_flat) == 1:\n cnt += 1\n \n if cnt > 2:\n A_ub.append([1 if len({i, j} & st_flat) == 1 else 0 for (i, j) in e])\n b_ub.append(2)\n #print('cnt:', cnt)\n else:\n A_ub.append([-1 if len({i, j} & st_flat) == 1 else 0 for (i, j) in e])\n b_ub.append(-2)\n res = linprog(c=dist, A_ub=A_ub, b_ub=b_ub, A_eq=A_eq, b_eq=b_eq, bounds=bounds, method=\"revised simplex\")\n #print('status:', res.status)\n ",
"execution_count": 115,
"outputs": [
{
"output_type": "stream",
"text": "st: {36, 5, 42, 16, 18, 26, 29}\nstatus: 0\nst: {17, 35, 6}\nstatus: 0\nst: {34, 3, 9, 41, 44, 23, 25}\nstatus: 0\nst: {1, 34, 3, 4, 38, 9, 41, 44, 47, 23, 25, 28, 31}\nstatus: 0\nst: {20, 38, 31}\nstatus: 0\nst: {1, 4, 41, 47, 28}\nstatus: 0\nst: {1, 34, 3, 4, 9, 41, 44, 47, 23, 25, 28}\nstatus: 0\nst: {24, 12, 13}\nstatus: 0\nst: {34, 3, 9, 44, 23, 25}\nstatus: 0\nst: {0, 35, 36, 37, 6, 7, 8, 5, 42, 43, 16, 17, 18, 26, 27, 29, 30}\nstatus: 0\nst: {35, 36, 5, 6, 42, 16, 17, 18, 26, 27, 29}\nstatus: 0\nst: {36, 5, 42, 16, 18, 26, 27, 29}\nstatus: 0\nst: {17, 43, 6}\nstatus: 0\nst: {33, 2, 40, 13, 15, 21, 22, 28}\nstatus: 0\nst: {1, 2, 3, 4, 9, 12, 13, 15, 20, 21, 22, 23, 24, 25, 28, 31, 33, 34, 38, 40, 41, 44, 47}\nstatus: 0\nOptimal\nst: {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47}\nOptimal\n",
"name": "stdout"
},
{
"output_type": "display_data",
"data": {
"text/plain": "<matplotlib.figure.Figure at 0x1238d30b8>",
"image/png": 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\n"
},
"metadata": {}
}
]
},
{
"metadata": {
"trusted": true
},
"cell_type": "code",
"source": "",
"execution_count": null,
"outputs": []
}
],
"metadata": {
"kernelspec": {
"name": "py36",
"display_name": "py36",
"language": "python"
},
"language_info": {
"name": "python",
"version": "3.6.7",
"mimetype": "text/x-python",
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"pygments_lexer": "ipython3",
"nbconvert_exporter": "python",
"file_extension": ".py"
},
"gist": {
"id": "",
"data": {
"description": "TSP LP with scipy.optimize.linprog",
"public": false
}
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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