1511 lines
528 KiB
Plaintext
1511 lines
528 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"source": [
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"import numpy as np\n",
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"from matplotlib import pyplot as plt\n",
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"from matplotlib.backends.backend_pdf import PdfPages\n",
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"import matplotlib as mpl\n"
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],
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"outputs": [],
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"execution_count": 2,
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"metadata": {
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"collapsed": true,
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"jupyter": {
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"source_hidden": false,
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"outputs_hidden": false
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},
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"nteract": {
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"transient": {
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"deleting": false
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}
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},
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"execution": {
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"iopub.status.busy": "2022-08-14T08:39:25.127Z",
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"iopub.execute_input": "2022-08-14T08:39:25.137Z",
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"iopub.status.idle": "2022-08-14T08:39:26.175Z",
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"shell.execute_reply": "2022-08-14T08:39:26.185Z"
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}
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}
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},
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{
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"cell_type": "code",
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"source": [
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"sz = 14\n",
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"bg = np.zeros((sz+1,sz+1))"
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],
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"outputs": [],
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"execution_count": 217,
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"metadata": {
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"collapsed": true,
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"jupyter": {
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"source_hidden": false,
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"outputs_hidden": false
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},
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"nteract": {
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"transient": {
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"deleting": false
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}
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},
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"execution": {
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"iopub.status.busy": "2022-08-14T09:37:47.981Z",
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"iopub.execute_input": "2022-08-14T09:37:47.993Z",
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"iopub.status.idle": "2022-08-14T09:37:48.010Z",
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"shell.execute_reply": "2022-08-14T09:37:48.020Z"
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}
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}
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},
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{
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"cell_type": "code",
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"source": [
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"def draw_grid(ax, sz):\n",
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" ax.vlines(np.linspace(-0.5,sz+0.5, sz+2), -1, sz+2, colors=\"black\", lw=0.5)\n",
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" ax.hlines(np.linspace(-0.5,sz+0.5, sz+2), -1, sz+2, colors=\"black\", lw=0.5)\n",
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" ax.set_xlim(-0.5, sz+0.5)\n",
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" ax.set_ylim(-0.5, sz+0.5) \n",
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" return ax"
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],
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"outputs": [],
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"execution_count": 218,
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"metadata": {
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"collapsed": true,
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"jupyter": {
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"source_hidden": false,
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"outputs_hidden": false
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},
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"nteract": {
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"transient": {
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"deleting": false
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}
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},
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"execution": {
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"iopub.status.busy": "2022-08-14T09:37:48.193Z",
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"iopub.execute_input": "2022-08-14T09:37:48.204Z",
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"iopub.status.idle": "2022-08-14T09:37:48.221Z",
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"shell.execute_reply": "2022-08-14T09:37:48.233Z"
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}
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}
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},
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{
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"cell_type": "code",
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"source": [
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"fig, ax = plt.subplots(figsize=(10,10))\n",
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"ax.matshow(bg, cmap=\"Greens\")\n",
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"ax = draw_grid(ax, sz)\n",
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"ax.scatter([7],[7], c=\"red\", s=100)\n",
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"fig.savefig(\"walk1.png\", transparent=True)"
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],
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"outputs": [
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{
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"output_type": "display_data",
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"data": {
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"text/plain": "<Figure size 720x720 with 1 Axes>",
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"image/png": 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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"execution_count": 219,
|
|
"metadata": {
|
|
"collapsed": false,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-14T09:37:48.791Z",
|
|
"iopub.execute_input": "2022-08-14T09:37:48.802Z",
|
|
"iopub.status.idle": "2022-08-14T09:37:48.933Z",
|
|
"shell.execute_reply": "2022-08-14T09:37:48.954Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"bg = np.zeros((sz+1,sz+1))\n",
|
|
"bg[[6,8], [7,7]] = 1\n",
|
|
"bg[[7,7], [6,8]] = 1\n"
|
|
],
|
|
"outputs": [],
|
|
"execution_count": 195,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-14T09:25:20.150Z",
|
|
"iopub.execute_input": "2022-08-14T09:25:20.161Z",
|
|
"iopub.status.idle": "2022-08-14T09:25:20.176Z",
|
|
"shell.execute_reply": "2022-08-14T09:25:20.185Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"fig, ax = plt.subplots(figsize=(10,10))\n",
|
|
"ax.matshow(bg, cmap=\"Greens\", vmax=2)\n",
|
|
"ax = draw_grid(ax, sz)\n",
|
|
"ax.scatter([7],[7], c=\"red\", s=100)\n",
|
|
"for i,j in zip([1,0,-1,0], [0,1,0,-1]):\n",
|
|
" ax.annotate(\"\", xy=(7+i, 7+j), xytext=(7, 7), arrowprops=dict(arrowstyle=\"->\"))\n",
|
|
"fig.savefig(\"walk2.png\", transparent=True)"
|
|
],
|
|
"outputs": [
|
|
{
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"output_type": "display_data",
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"data": {
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"text/plain": "<Figure size 720x720 with 1 Axes>",
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"image/png": 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},
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"metadata": {
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"needs_background": "light"
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}
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}
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],
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"execution_count": 196,
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"metadata": {
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"collapsed": false,
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"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-14T09:25:21.500Z",
|
|
"iopub.execute_input": "2022-08-14T09:25:21.510Z",
|
|
"iopub.status.idle": "2022-08-14T09:25:21.765Z",
|
|
"shell.execute_reply": "2022-08-14T09:25:21.788Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"bg = np.zeros((sz+1,sz+1))\n",
|
|
"bg[[6,8], [7,7]] = 0.5\n",
|
|
"bg[[7,7], [6,8]] = 0.5\n",
|
|
"bg[[7 ], [8]] = 1"
|
|
],
|
|
"outputs": [],
|
|
"execution_count": 197,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-14T09:25:25.732Z",
|
|
"iopub.execute_input": "2022-08-14T09:25:25.741Z",
|
|
"iopub.status.idle": "2022-08-14T09:25:25.755Z",
|
|
"shell.execute_reply": "2022-08-14T09:25:25.764Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"fig, ax = plt.subplots(figsize=(10,10))\n",
|
|
"ax.matshow(bg, cmap=\"Greens\", vmax=2)\n",
|
|
"ax = draw_grid(ax, sz)\n",
|
|
"ax.scatter([7],[7], c=\"pink\", s=100)\n",
|
|
"ax.scatter([8],[7], c=\"red\", s=100)\n",
|
|
"ax.plot([7, 8],[7,7], c=\"red\", lw=3)\n",
|
|
"fig.savefig(\"walk3.png\", transparent=True)"
|
|
],
|
|
"outputs": [
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 720x720 with 1 Axes>",
|
|
"image/png": "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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"execution_count": 198,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-14T09:25:31.185Z",
|
|
"iopub.execute_input": "2022-08-14T09:25:31.194Z",
|
|
"iopub.status.idle": "2022-08-14T09:25:31.427Z",
|
|
"shell.execute_reply": "2022-08-14T09:25:31.446Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"bg = np.zeros((sz+1,sz+1))\n",
|
|
"bg[[6,8], [8,8]] = 1\n",
|
|
"bg[[7,7], [7,9]] = 1\n"
|
|
],
|
|
"outputs": [],
|
|
"execution_count": 199,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-14T09:25:32.184Z",
|
|
"iopub.execute_input": "2022-08-14T09:25:32.195Z",
|
|
"iopub.status.idle": "2022-08-14T09:25:32.214Z",
|
|
"shell.execute_reply": "2022-08-14T09:25:32.225Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"fig, ax = plt.subplots(figsize=(10,10))\n",
|
|
"ax.matshow(bg, cmap=\"Greens\", vmax=2)\n",
|
|
"ax = draw_grid(ax, sz)\n",
|
|
"ax.scatter([7],[7], c=\"pink\", s=100)\n",
|
|
"ax.scatter([8],[7], c=\"red\", s=100)\n",
|
|
"ax.plot([7, 8],[7,7], c=\"red\", lw=3)\n",
|
|
"for i,j in zip([1,0,-1,0], [0,1,0,-1]):\n",
|
|
" ax.annotate(\"\", xy=(8+i, 7+j), xytext=(8,7), arrowprops=dict(arrowstyle=\"->\"))\n",
|
|
"fig.savefig(\"walk4.png\", transparent=True)"
|
|
],
|
|
"outputs": [
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 720x720 with 1 Axes>",
|
|
"image/png": 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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"execution_count": 201,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-14T09:25:39.931Z",
|
|
"iopub.execute_input": "2022-08-14T09:25:39.943Z",
|
|
"iopub.status.idle": "2022-08-14T09:25:40.229Z",
|
|
"shell.execute_reply": "2022-08-14T09:25:40.249Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"np.random.seed(42)\n",
|
|
"bg = np.zeros((sz+1,sz+1))\n",
|
|
"i = np.random.randint(-1,2, size=(50))\n",
|
|
"j = np.random.randint(-1,2, size=(50))\n",
|
|
"j[i!=0] = 0\n",
|
|
"i[j!=0] = 0\n",
|
|
"i[0]=0\n",
|
|
"j[0]=0\n",
|
|
"#i[i==0] = -1\n",
|
|
"#j[i==j]=-1\n",
|
|
"#j[i==j]=1\n",
|
|
"#i==j\n",
|
|
"i+7,j"
|
|
],
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"execution_count": 202,
|
|
"data": {
|
|
"text/plain": "(array([7, 6, 8, 8, 6, 6, 8, 7, 8, 8, 8, 8, 6, 8, 7, 6, 7, 7, 7, 7, 6, 6,\n 7, 7, 6, 6, 6, 8, 8, 8, 7, 8, 7, 7, 8, 7, 8, 8, 6, 8, 6, 8, 8, 6,\n 6, 8, 7, 6, 7, 7]),\n array([ 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0,\n 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1,\n 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1]))"
|
|
},
|
|
"metadata": {}
|
|
}
|
|
],
|
|
"execution_count": 202,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-14T09:25:43.403Z",
|
|
"iopub.execute_input": "2022-08-14T09:25:43.415Z",
|
|
"iopub.status.idle": "2022-08-14T09:25:43.442Z",
|
|
"shell.execute_reply": "2022-08-14T09:25:43.453Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"i.cumsum()+7"
|
|
],
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"execution_count": 203,
|
|
"data": {
|
|
"text/plain": "array([ 7, 6, 7, 8, 7, 6, 7, 7, 8, 9, 10, 11, 10, 11, 11, 10, 10,\n 10, 10, 10, 9, 8, 8, 8, 7, 6, 5, 6, 7, 8, 8, 9, 9, 9,\n 10, 10, 11, 12, 11, 12, 11, 12, 13, 12, 11, 12, 12, 11, 11, 11])"
|
|
},
|
|
"metadata": {}
|
|
}
|
|
],
|
|
"execution_count": 203,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-14T09:25:44.486Z",
|
|
"iopub.execute_input": "2022-08-14T09:25:44.497Z",
|
|
"iopub.status.idle": "2022-08-14T09:25:44.519Z",
|
|
"shell.execute_reply": "2022-08-14T09:25:44.529Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"fig, ax = plt.subplots(figsize=(10,10))\n",
|
|
"ax.matshow(bg, cmap=\"Greens\", vmax=2)\n",
|
|
"ax = draw_grid(ax, sz)\n",
|
|
"ax.scatter([i.cumsum()+7],[j.cumsum()+7], c=\"red\", alpha=0.3, s=100)\n",
|
|
"#ax.scatter([8],[7], c=\"red\", s=100)\n",
|
|
"ax.plot(i.cumsum()+7,j.cumsum()+7, c=\"red\", alpha=0.3, lw=3)\n",
|
|
"fig.savefig(\"walk5.png\", transparent=True)"
|
|
],
|
|
"outputs": [
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 720x720 with 1 Axes>",
|
|
"image/png": 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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"execution_count": 204,
|
|
"metadata": {
|
|
"collapsed": false,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-14T09:25:50.619Z",
|
|
"iopub.execute_input": "2022-08-14T09:25:50.629Z",
|
|
"iopub.status.idle": "2022-08-14T09:25:50.863Z",
|
|
"shell.execute_reply": "2022-08-14T09:25:50.881Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"def next_step_probability(current_i, current_j, sigma_i, sigma_j, size):\n",
|
|
" grid_ii, grid_jj = np.mgrid[0:size, 0:size]\n",
|
|
" rad = (\n",
|
|
" (((grid_ii - current_i) ** 2) / (sigma_i ** 2))\n",
|
|
" + (((grid_jj - current_j) ** 2)/ (sigma_j ** 2))\n",
|
|
" )\n",
|
|
"\n",
|
|
" p_next_step = np.exp(-(rad / 2.0)) / (2.0 * np.pi * sigma_i * sigma_j)\n",
|
|
" return p_next_step / p_next_step.sum()\n"
|
|
],
|
|
"outputs": [],
|
|
"execution_count": 209,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-14T09:36:39.525Z",
|
|
"iopub.execute_input": "2022-08-14T09:36:39.537Z",
|
|
"iopub.status.idle": "2022-08-14T09:36:39.552Z",
|
|
"shell.execute_reply": "2022-08-14T09:36:39.563Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"bg = next_step_probability(7, 7, 2, 3, sz+1)\n",
|
|
"plt.matshow(bg)"
|
|
],
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"execution_count": 214,
|
|
"data": {
|
|
"text/plain": "<matplotlib.image.AxesImage at 0x128caeef0>"
|
|
},
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 288x288 with 1 Axes>",
|
|
"image/png": 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OEJAqZwhIlTMEpMoZAlLlDAGpcoaAVLlTZynxoAxqyWiD5c/SyXBLQKqcISBVzhCQKlfUlXjWdTdHREbEOf2ZnqR+K+1KTESsBT4OvNbjOUlqUVFX4q476HQhOn0+cVGqUNExgYjYBOzMzKd6PB9JLTvp8wQiYinwBTq7Agu5vV2JpSFWsiXwfuBC4KmIeAVYA2yNiPPmunFmbs7M9Zm5fozF5TOV1BcnvSWQmc8A7zn6czcI1mfm//VwXpJaUtqVWNJporQr8ezr1/VsNpJa5xmDUuUMAalykS0ulY2IPcCr81x9DjCIg4vWPT1rWvfdLsjMc+e6otUQOJ6IeCwz11v39Ktb0309Feu6OyBVzhCQKjdMIbDZuqdt3Zru6ylXd2iOCUgajGHaEpA0AIaAVDlDQKqcISBVzhCQKvf/bgu5LIj4iG0AAAAASUVORK5CYII=\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"execution_count": 214,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-14T09:37:29.171Z",
|
|
"iopub.execute_input": "2022-08-14T09:37:29.184Z",
|
|
"iopub.status.idle": "2022-08-14T09:37:29.283Z",
|
|
"shell.execute_reply": "2022-08-14T09:37:29.303Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"fig, ax = plt.subplots(figsize=(10,10))\n",
|
|
"ax.matshow(bg, cmap=\"Greens\")\n",
|
|
"ax = draw_grid(ax, sz)\n",
|
|
"ax.scatter([7],[7], c=\"red\", s=100)\n",
|
|
"fig.savefig(\"walk6.png\", transparent=True)"
|
|
],
|
|
"outputs": [
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 720x720 with 1 Axes>",
|
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"image/png": 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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"execution_count": 216,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-14T09:37:38.672Z",
|
|
"iopub.execute_input": "2022-08-14T09:37:38.687Z",
|
|
"iopub.status.idle": "2022-08-14T09:37:38.928Z",
|
|
"shell.execute_reply": "2022-08-14T09:37:38.949Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"grid_ii, grid_jj = np.mgrid[0:200, 0:200]\n",
|
|
"my_i = np.sin(grid_ii/130) + np.sin(grid_ii/10)\n",
|
|
"my_i /= my_i.max()\n",
|
|
"my_j = np.sin(grid_jj/100) + np.sin(grid_jj/50)+ np.sin(grid_jj/10)\n",
|
|
"my_j /= my_j.max()\n",
|
|
"#grid_jj\n",
|
|
"\n",
|
|
"fig, ax = plt.subplots(figsize=(10,10))\n",
|
|
"ax.matshow(my_j+my_i, cmap=\"Reds\")\n",
|
|
"ax = draw_grid(ax, 100)\n",
|
|
"#ax.scatter([7],[7], c=\"red\", s=100)\n",
|
|
"fig.savefig(\"walk7.png\", transparent=True)\n",
|
|
"\n"
|
|
],
|
|
"outputs": [
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 720x720 with 1 Axes>",
|
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"image/png": 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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"execution_count": 227,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-14T09:43:00.706Z",
|
|
"iopub.execute_input": "2022-08-14T09:43:00.723Z",
|
|
"iopub.status.idle": "2022-08-14T09:43:00.972Z",
|
|
"shell.execute_reply": "2022-08-14T09:43:00.998Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"source": [
|
|
"# Simulating some data"
|
|
],
|
|
"metadata": {
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"parameters = {\"sigma_i\" : 2,\n",
|
|
" \"sigma_j\" : 3}"
|
|
],
|
|
"outputs": [],
|
|
"execution_count": 2,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-08T19:41:44.483Z",
|
|
"iopub.execute_input": "2022-08-08T19:41:44.491Z",
|
|
"iopub.status.idle": "2022-08-08T19:41:44.503Z",
|
|
"shell.execute_reply": "2022-08-08T19:41:44.569Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"source": [
|
|
"## in a maze"
|
|
],
|
|
"metadata": {
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"initial_act = np.ones((200, 200))\n",
|
|
"initial_act[50:100, 50:60] = 0\n",
|
|
"initial_act[20:89, 80:90] = 0\n",
|
|
"initial_act[90:120, 0:10] = 0\n",
|
|
"initial_act[120:200, 30:40] = 0\n",
|
|
"initial_act[180:190, 50:60] = 0\n",
|
|
"\n",
|
|
"initial_act[50:60, 50:200] = 0\n",
|
|
"initial_act[179:189, 80:130] = 0\n",
|
|
"initial_act[110:120, 0:190] = 0\n",
|
|
"initial_act[120:200, 30:40] = 0\n",
|
|
"initial_act[180:190, 50:60] = 0"
|
|
],
|
|
"outputs": [],
|
|
"execution_count": 3,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-08T19:41:44.514Z",
|
|
"iopub.execute_input": "2022-08-08T19:41:44.521Z",
|
|
"iopub.status.idle": "2022-08-08T19:41:44.533Z",
|
|
"shell.execute_reply": "2022-08-08T19:41:44.573Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"plt.matshow(initial_act)\n",
|
|
"plt.colorbar()"
|
|
],
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"execution_count": 4,
|
|
"data": {
|
|
"text/plain": "<matplotlib.colorbar.Colorbar at 0x114cd65f0>"
|
|
},
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 345.6x345.6 with 2 Axes>",
|
|
"image/png": 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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"execution_count": 4,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
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},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-08T19:41:44.545Z",
|
|
"iopub.execute_input": "2022-08-08T19:41:44.553Z",
|
|
"iopub.status.idle": "2022-08-08T19:41:44.686Z",
|
|
"shell.execute_reply": "2022-08-08T19:41:44.703Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"rw = random_walk_model(parameters, seed=42)"
|
|
],
|
|
"outputs": [],
|
|
"execution_count": 5,
|
|
"metadata": {
|
|
"collapsed": true,
|
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"jupyter": {
|
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"source_hidden": false,
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|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-08T19:41:45.281Z",
|
|
"iopub.execute_input": "2022-08-08T19:41:45.289Z",
|
|
"iopub.status.idle": "2022-08-08T19:41:45.301Z",
|
|
"shell.execute_reply": "2022-08-08T19:41:45.308Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"rw.set_activation_map(initial_act)"
|
|
],
|
|
"outputs": [],
|
|
"execution_count": 6,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-08T19:41:45.979Z",
|
|
"iopub.execute_input": "2022-08-08T19:41:46.005Z",
|
|
"iopub.status.idle": "2022-08-08T19:41:46.016Z",
|
|
"shell.execute_reply": "2022-08-08T19:41:46.023Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"TIME=2000\n",
|
|
"for t in range(TIME):\n",
|
|
" rw.evolve_step()"
|
|
],
|
|
"outputs": [],
|
|
"execution_count": 9,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-08T19:41:48.383Z",
|
|
"iopub.execute_input": "2022-08-08T19:41:48.390Z",
|
|
"iopub.status.idle": "2022-08-08T19:41:50.279Z",
|
|
"shell.execute_reply": "2022-08-08T19:41:50.286Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"plt.matshow(initial_act)\n",
|
|
"plt.plot(rw.trajectory[:TIME,1], rw.trajectory[:TIME,0])\n",
|
|
"plt.xlim(0,200)\n",
|
|
"plt.ylim(0,200)"
|
|
],
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"execution_count": 11,
|
|
"data": {
|
|
"text/plain": "(0.0, 200.0)"
|
|
},
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 288x288 with 1 Axes>",
|
|
"image/png": 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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"execution_count": 11,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-08T19:42:08.182Z",
|
|
"iopub.execute_input": "2022-08-08T19:42:08.191Z",
|
|
"iopub.status.idle": "2022-08-08T19:42:08.277Z",
|
|
"shell.execute_reply": "2022-08-08T19:42:08.285Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"source": [
|
|
"## in a mountain area"
|
|
],
|
|
"metadata": {
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"grid_ii, grid_jj = np.mgrid[0:200, 0:200]\n",
|
|
"my_i = np.sin(grid_ii/130) + np.sin(grid_ii/10)\n",
|
|
"my_i /= my_i.max()\n",
|
|
"my_j = np.sin(grid_jj/100) + np.sin(grid_jj/50)+ np.sin(grid_jj/10)\n",
|
|
"my_j /= my_j.max()\n",
|
|
"#grid_jj\n",
|
|
"plt.matshow(my_j+my_i)"
|
|
],
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"execution_count": 56,
|
|
"data": {
|
|
"text/plain": "<matplotlib.image.AxesImage at 0x128660100>"
|
|
},
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 288x288 with 1 Axes>",
|
|
"image/png": 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\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"execution_count": 56,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-08T19:52:23.771Z",
|
|
"iopub.execute_input": "2022-08-08T19:52:23.779Z",
|
|
"iopub.status.idle": "2022-08-08T19:52:23.896Z",
|
|
"shell.execute_reply": "2022-08-08T19:52:23.919Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"rw = random_walk_model(parameters, seed=45)\n",
|
|
"rw.set_activation_map(my_j+my_i)"
|
|
],
|
|
"outputs": [],
|
|
"execution_count": 68,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-08T19:53:34.095Z",
|
|
"iopub.execute_input": "2022-08-08T19:53:34.103Z",
|
|
"iopub.status.idle": "2022-08-08T19:53:34.116Z",
|
|
"shell.execute_reply": "2022-08-08T19:53:34.126Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"TIME=2000\n",
|
|
"for t in range(TIME):\n",
|
|
" rw.evolve_step()"
|
|
],
|
|
"outputs": [],
|
|
"execution_count": 69,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-08T19:53:34.295Z",
|
|
"iopub.execute_input": "2022-08-08T19:53:34.304Z",
|
|
"iopub.status.idle": "2022-08-08T19:53:36.480Z",
|
|
"shell.execute_reply": "2022-08-08T19:53:36.517Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"plt.matshow(rw.activation_map)\n",
|
|
"plt.plot(rw.trajectory[:TIME,1], rw.trajectory[:TIME,0])\n",
|
|
"plt.xlim(0,200)\n",
|
|
"plt.ylim(0,200)"
|
|
],
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"execution_count": 70,
|
|
"data": {
|
|
"text/plain": "(0.0, 200.0)"
|
|
},
|
|
"metadata": {}
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 288x288 with 1 Axes>",
|
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"image/png": 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RirSZFVsx3f3M64RlqdFanCbS7bh4PWVBgIgS0G0/mEAaBIEILxK5SjaZCp3L07JMmyDS1YtxplAAEePBKIKHFU+dyZL68yGq6kJU1f1s4sdBD1YoCqs4qYSJePpZCpJb6ukHWYg5wdUBEUiqfzrUQ6Dx2rIKHxfhhdj5KHxH8oprs2UaYQB59uFnXz9w0oHUKnIKo+0AMpbCe/OvbvpFEFFVIIHEG4eNf9AKYwTtXDdlqSkzQ2FMABNvehbOI1FISaE1hS4DoDSMCTFEvk+kYBLrIjIYsCCSuv5nndcpvW8gAEhRajqdDFNmmI62AOImH1U49lG45w48tBdY68IqsS+JqnkynIvXslowxoGJKFfPrk4dSKVmjhiFKgVxsSRKg1G2ru3cdv1sZEGACAK6sKzBu/xtx/N2dcpEyjBbZZkhUzoGdiVuQ0hndYKXIMzu3mwxCXgYCyABOMA1eGLPehCpueXSRhcc+UjsWLDKvGQSGzmH0giSWxrqrzmYOI3U3LEzZifY75qBrBOApDUPhQcCjU/pu6fu9lwZLWPdm2kA2VzZYM7pAK3CBeSVlr63C+vRCsFU3pvlvA9XNP18cdqRJNqRSurLZJK41jVFaWjmpZtEPCMrIoiIpqVy+rKC3BgazvXv66I+yZikXoF5gw9bZR7u29aFZR9FasI480U516LqqMA+VGHbXpWehSQgksSIdHtnfD05EHGPWWl1ESmdp8941gwmp2rm+D7nwc0FqimlrKfnzQIiyoDuKBAJYcKWCotDUzC5F48Is5WnZlpLAJJ6iYOSEOdhz6OC2dIFHh44wNm0vuG9KVObQeqimPuqaOee868z24kkU0gu1j1nJAClP5UxCvEA0ogh1YVo+t0MbMQGz7Wzgpaj8h5AIhPpjuL1poxB0TGeieQBSHzwVCqcQqTw7cIKqWXpAMRoKyIG0PV1qJLBEZ/HSnL/HNBacUTsYMmc6GoM4thJEAlF0XCsxN6PoqEzOllJ22RWJzNZiMz0QBrc3j3c//4eC3Esx1iXdRpE5u8bCABiSoXpZFb7cACiOwkTKe3kGPUQ0CU9mYhK+5LvLx5EEgBBg0n7kRsPAGSgjQOYDBsolNnx42dYKcUBNr0p9OsoCwJEENBtrP6BoF2nEwN408Yr0M4MEK0wmYv0TAQ6SAaxF2adwOQBBaiKpXXwcMABbgYxyezhjuliIr1mkcBEiL+p/QyNrf1AO+0xxs3a4sw6I4oydwKwidqDBZDM6QEZbZ2TOxDJdZWB+IHjI3c9hS+Mp/E6gIefgVPmAXSxj7LILNgVSSQm9n5IAdf0ABBfEu0ILTb+QUs4l2R2FlXGWNAvNSYvMUZRGAciiZnTcWCSKUMzsyzEh9D3imhOzUSAQpxInHic2kUegsh8DEhRZBY4O559aFQnmi5gwUN7c8ZPQqUFEf869B0PAjWQlSDQOwBR6UTk+zCozNeXZW8+jknKBExSk9pTdv1mAxG7FAIlChOCs1yUowHxV2pU7FylYBwFVs6+7j53FPaCe9adJ8yaYsEisI6yGgzUxUQ8oMzTBn4CCUzEg0jmQCW4it19iQVKf8+lMUjDXrvJTdBJ0jUofl1KYTTtrKSpCxpuTUTmOmWvKF4jVjfwEb8ALRe123Ygks7A3utiB1HmzBc7C0sSialS8y+1+0VVKHtXRamoH4kLpCKLrNPScYXkJngcTGkwuQsac2ZOnpU0HJjk2tAxGbkyKGU7jgfWLiaSmEY+VN+Ddar5+PsGooBa6Kh9dJRjHfbcHkB0SXwMACI9gs3ca0kYSCI++2AzCaYMgXGEoEXjmIghmM0VMMGZ1FqiXncDys1gs5vlZrlZrqssCCaiEiZi11E5XaRhTZsQZg5OSyAIRmgJIcKqjuBh1iba6BUmUjVflEnMl7o5U8ZZQ3mX3DWZM3FmkcSOFeP9+GCSuAHLQJx7tEHUc3LtWEoMluvzoqLEeBm/QhNi6LwXF9PFbJ7F2HO5dUMJje+UGZ2KDlAzYQpVYSGeiaiS4L2quC/nMWdE4eIgrNAnOoqAwaYXwGgkE0we3ZZARSsxxtDRhkYWPXaegah5zJk0RscLtj7oMBWOy9IFj0HwwlgTxuogqrR9OJgznYR9BCYiFXHVd9XUtKnXTXjumYiW2I8cw/CeWslsX4pM12tMxJCFDFvPjv3diLLgQESJ1wWcaZM7Cusr2tAtGKUqf70EKu3MliRSENMbPPxrSE2ZVBOJAyS9h/CTdRDx5oz2DRwb2eQEoATXsRvGgqhkSMMkq3+hdBUhoqKoaEoabml3KiZeSQfw9j/YmJl08WHHaQBWPHVrYkodozA9eIRgqivU13zmTGWASDRpskSINkkchIuBEJO4xyFoJWVmKDPrsStKqURmwjWCiFGVYLkQO5RGn8I8AFI3ZwivrcAqFXHV6yBdwmpSQj14PcQFm5kMKAXjzZW6i9ckE1ZGAJNwjFZV7891lgUBIghkHXEAEu/MiB1gRiRoQAFhjbIA4gU5Jb0rJfUOpF4XE8FCSWKvJqwE6poIPUFESbUHBEEsVdXxmkgVSGwcTFzZq8V6baThtimkJrYm8ST1QKzMgYgXmOcDER+5m4JIx+hK4JgNoEpct4WaPwoz1ZCS16m938VGEg+E8p1aE9yW4ICzxLnAiTEQQnSJzxOdWWobkemjX3t577zQ7gMQRVQ1WM7orvsGIngUKnhfdIfARiAFEbGPZcJGKt4ZqdRNVRNx1+nqx4v0yjidzTPaACIqgkiGY/BuzKQTmQ9ae7OBiK98Kj4uQqCSz8BmK8eZBD6mwItE88C5byQf4wERCJRzuenEj484VxxU6GcEEanSUH/ZvigJSB+ChKg1rniQdMDg7w/rocJnxHJBd0akEj5u15PYJd0eTDJtg8tCFrgrzL4+5B9izpTCxNk3NV0Aa774KMzSDZwkiKpi/qWm3zWAiLgsEKKBLAKSMQKZO8ibfMbWlUTq1jM6U2lB6xj9mnrvQpMlrn/7mkrEspS6et+J50V1FNoxEJWwjiqISDBlPBPxLCQFEep9yV9fMvDTvmRMBBNvvtj+Jc7bl0xUTnhNww78mHlTgYg1ZyJ4iIrmmtVI4gxsZ2WnLmsVEFWpWFO+clLfu3c1hvcCw+gOAvKNDal5I1Ugqc0eYYAkgyM2vAMIHemnuEEWwcTdH4KmmnvDrykCTekZmWcmPq2AcTOvtlQeoicieIuIIJJG7/olAMaoEPsh6TJ2iB6YZPb1gVQegH19Bd0oYSPz0XW/LsTnyrCTg/284mkQV3diWUfQkLx3S0BEoxwzUc70KV2fqIcAhOXyCTAbHwpQVuOG0vuGKwOIP0Z3EgZSSGAhAUT8uWyezq468nXjO5hfeGfBA7cw0fbJGPuEA1iCZzOs03F1avziPYVLK9DdLq+1LAgQ8RGrdgZXZAili15NBxq4mdu4KDynNyhtZ/CwYKl2buUfPb2mSrlTP3763B5nGz0NEqoLq6Ej+OKEwp6aiDddHAsxDg/9RKQdE7HvxTvxa4qi5WQQshjRmRlr+hmhcBQ+6xEH4HN/+lW2QGXRoTG6y30LVMO4yySQKmVwVIH4asKq8nWVzrRZIGWBsYl3+3tWIgnnF6prRjILHipEwPof687DK0AIAYAAIGnAnNd9PPsA77btDSDapYvz5kxgIIWgg7AamQhiQxV6rp3xDNaDbenqKHdAYrAL8ZKQCB9fFVhJ5sZMAGaCO10M0Oxul9daFgSIKLGV7MVRq/0IBhXCx1NmAtiazXAIk8xoUJ16qc6GYeFTHRQ8+/DCl5vyKwATju+2Y7tBROgyZ7RnHeIuO4b5V5iXskDiB1lgaBCONDjwygmzj9Y2c5pfnekzSmoVNRdL5GKaRyDRAJJZOF3CDvMDSEGMxKzVVwrcdd3INqEFWuXZhwd5XxmZv2AvPlshmkLF+hawcc7JQj+XtMeDib0w1dOcCaI7RBHXA0iq+xQq3qNnYyWhLlLAgPjaHifuubj+JaF/+WCznrqaX77hFnIqrSyTEBJBPgKqfx7ZbWQlFV3Og/ubyTsDroI9EPhcHM5ESc3FMGs7UPCKNfMIq8p1kjArJoKp1z66mIijnUAEFQ8eFZou8Tfqd6TstSmn3YCloNozK3BGikKr6HlWCihAubyxBhUYmkrGjv+2QcfgLKcVeHobltj7a3JfNsbpLMliRJkPQFKvy3wAUtSYSFJfqb3fPdsmbe5NU2ei+euVLJk4UGik6z1/rMo8uyCAUQgu1A5qkj4STBl/Mh+AKHQBSFX3IdE6CEDhmYk9JrIODyD2eybWjTsO8ZNSAnhINMuVC7jToF0aAB3qRlVc+KFPkU64Yj2avm48e++hw7yesjBAxDER0Qrt1WMXN2DFQRUGGVSBJPypagdJzx3sTVPt0L1MmGC3dg0KqTIRT9P9b9SKtbtdR/CeF7oZiGdawaHj+rTSyfulnUWrbjn7obstRLSbeQxKVUEkVEUAETtyAzuprx9ys7Cn8UDVBZ6Ip2kkZs/68hdID7BN7j2Yaqna546vDAgrwdba2r4n2MnCrr1xiOuPMx6Mq+eugIh7HlIYlt33beui96Rj/xxfdM91WQUQXYoFEM90PdBWbPZ0RnEVJwoV8qam5m80eyOAVIFECU6sJ0yoktbNdZabEas3y81ys1xXWRBMJLIEcbObpW6qdDOzkjC7+qKhkkafyiydlJSJpNS6p6haFVAhzqp1k6Zi5yfnxV+XZyBeHbZns//9DFw6vSJlUcqyEFXaA5WWODsm9yhK4kI191WDJfzhVMrfeFofcSFiGl9QX8WMd9OmLvHSeWISDalraXtdiE7rP20TFatINImuVJsinblTaX6loqaQHhjUEXua0A5ASFlZqQuqzKfGQkLkrb/vXuJxXTMLJo9nH+68CQtRRWQdygmrpJqI88kq17JWPCXqRTkudYYtUU9T87IRf0zK+G7Q0pmFASLgBmfpTBjtB6vt6GknTRdtKYhcV1X7Qzhv6Jy1zm7qf5LEgaTHdQNIoKBl+jtJJ/AXp+uc0XUO5R9JwNMd539fxeeSvJZkUIuK9+7Ze6gjd9uqVinirk+Sc8XcH+4SjcKn8Qv17p/7OkrMw171VQnKS0A8Vtg8j/Eq8UK7B11CHRAnFa+FVerBmTyooEdVK6jWJCapsOS+0/5Q19NUV59I+hDpayHtNx5AlFO9bV9K7JP0wrS/couy4ieIBLDT+Cjl7OPYv2I/q05j9vxyg1Bk4YBIaXf2iozBRZK6OvZClGgVZn6rN/g5KJnt6nYv1Q4dPjPxMQSfSewA/nvOpdEFICkTCY/KvR+0kO6Z1a84VrobJFPlXMKAlsC6wrIgP724exKjQj348F6Fi+T1RaIHo+eKZrHgEetFxYWkhmBPV9zcpnd9pXXZ0zsjWLEYe47K/fm6qAOInzw8YFBjo2LrCkW4Tw8QIaK51jdCqgJ3HfH+Yv+rhO6T9JWk//g+GerLTzLi+rYHCrHPo57mmKb3Z4d+krQPBqVth7Drxuzntq4iGHgvVxgz7nPlHRWk9RL7yfWWhQEi6UyVdMD0tSSNI1J7JBmz7nxpSc9XaeTwJ0lHrIJNfTBUACQBjzC4099FgqBnP3QBQslgDvdWO5ck1xOAUlQivvnPPNWV2HHSa0loawAQcaMxjbVIgdCdsw66XSBcaydfX9SvvR5Hk9RPan5QqwuVuCy7r7H2e9S+n0QB29+yvxY7C3QlS0pfz9MfKr8v1X7k2wEsqHqwqHzmBnZYDJYCSA1oQ3f2fcgzjdDetj8oL8S60ANJxdPa+Amv/X3cgLLghNVKQJhIzwZMgeBqFdGr43d1yPq56+fsEeNQOV/993od0+Oae7mG5/1cuo9XKQhULlfFGAh69M/56ix5v3c90F3/PUplYF3pfQ8wybl7/mbtHNXPVc82vWLfmK+NrvRZj2vv9dh13w44IqBUA8vmAxDq7yffByL49Lg3DzLV36mBHfO332stCw5E3nQlpeNwbasnb5Dgdd3nn+e4G7Xm4nqu4buqvBnu4QplYZgzSUkVdfHL+9OBlzBxqQ/OXudTgb1G+zo5T+oV6eUJsK9VFbbrUoe44+S1DbDKPdTvQ1Wfo7oBKOgdXmMMj/H9XnEi8T78G6on2FVupd4OvY5J3g8xIFJ7v3bONAVgr9/oPj65Hn8P8/SRnueptJkzplIzuMc1VurfH9J1HdV7lFQURmIEqnv0wnClDmuaSKXx3PmqK8QVYVm/+81479Xl/pI+1u7nesvCABHVfXPdr2Ol1xvWh/T27tFJQ9U6oUoq3DZsPCYFl/Cb2v+IPamqcd9KoyhCNG24drfa2Eez9gSHHvcfHAt+wJB+JvF95cK8U1BJRnEYMMkq0Eqd4gZWj07o66qShNrEx1ToVH4w+rYxygFKvb5U5X7979UHoj9PHVT9tQeLxv9eqJf0uqqAG5qRJHwgDPLqfXS5mNO1Pl3tlZ4rfubrFCU2bsFXhZYgiseG8u2ikt+zgFEZDz37TvV9qbVjV/+6AeWmOXOz3Cw3y3WVhcFEwK0NSP+o/KUzXboHR8pCuqium0mCGq1rH0ky47jn0Uvgf1Ds97y94hHe7R3jT5bOstUVvMniJ1W9nzhrJrNvsjw7pMNzLKgyG/vvuuMDA1GERWehOhwb8Zqa0sq5BpNziX9UYVm+DXRL2EqSvyXUXXDPVuvLl4rbsRaXkDIPf9+VALF6+yf1V7n28Odmf5eIWBJWdiXTRlKXuGeZ4kwQXb1vIKQrUMoxSh1XlNfbOuxYJySrkAkMUWkXAyLQtbYj2qeV8YF/HtiNv49qn6usjq4d45nyjSgLB0SSfAn1ivCfAbFjZUll+MHkz5XUTXAFmwgk4NisxMeE3xJchfFIF/Vnn4tyiXMSv66g4oDCX5eqdqxwT/F9kxHS2NljkoauPLrB6RfbabGDxmW7Rws6s6ZNSETkTZNQMc69DG59RgJ8yZPgOk8GTnAN+oFhkuureDeq5w0n7+VISAE0nTT8Fgi69n4CGBLqwQ9YqdVbFczq5k3VY+d+j9pqYPendLzvehupym/G4DYPHKGe3Ipklbn69ycz4jwtqmJ6VtJ96h4AokFybRfh5Sr+ZqW+7KpfP17itbuJ4gaZMwsCRET5gWST7qYgYffJiAPRZFTAJlRGzcYLQifEaEahKzJQknGSDoBqSHEEEqXSgCb7gxUm4w6Ptnw1NZ1xgBHvowo0KUgan/Y/dAoJnTQASBYBRClBaRM2b06F1rjVRJJKMBU1IVka7+4n8xVIjG1xqQiD+7jXdq7K1aNvkwoop8fFugoTQlZdtl5v71Av6Yyf1BOZRABRCZCkepIvQUjxF6ec2ArhvwddkWRFMGHfF+MYRGZszlM/Mn2AoLj3RGybGTQ6LoeLOkltRZwkDCMASqYwmY4AEoArgm6viSrUDUn9qvje9ZYFASIokDzpMJmqPs8TJK11qAgiCT1PmDU40PeRif4zRRDAQ/CnsmskSKZNF99jWUiYzVQM7AIXQBZvJ1XHu5hIMjA8oIQdy0jrIAVSN0jyZFBkApmgMoNym3gptxugTlIC2kc3O7rOLOIAxJsq+G2/fTokX1VJwh4X+AW4nLcq1E9XX/T3b+xvzxuz0QNsU3OuAiChzqQ6KFz2d8kE3L4+zAMiXUtnUsbhr9vEbiK4fB0oyAj7IYUdCEK+Vxs75tM8gIslc2Dr17EopdGlBRIVOw+U9rd69SH7g65+lEJylbB2hclV0ndUYCamVm8BaFIG/+YCEV8ZLv1/7kAlj2Dito2tVYzvNLEzdpXAEiSsLbC/mRzvxpMqCWaLByStbCMbRbKexJ4rRtFW/TQVfSOxPdOG9Y1v7zO5P39vuZvJcpeIxwOI27RJ5QmAaEPmHv2Wov4W58v2rrUK+UTK0jIsozRGGadd6IrHM+StKNyAIqzkqC7wUnZhXvBI6DQ6NzGfknao2O4p9c480/CTjCQAK/EYDyBZNPGiTuTqou6dwROABEwTRus9euG+xd43ENhczJHrgNmbw+FksQZ9bfouGBfzuUWW7qtBi0muNSRq9qZMmHxUMIdD/6pMwBZYcGazu5CKLnIjyoIAEYEAHvEvBZNax3IzUkVsvAKIBO2jvsbDuR79AjftzmEBw37duIVM1cV6qiuytutnVTdt9MBnMmUzmGfxfsP95WBytx2Am2XJbdo/coNyexKr3AKGdtskZJndsDrTabb3yELCdYmiNDaitfQbjSuxWc5KKwAYYk7X6iStIrQoByQqAgngdp339UvQo/xvV0qFiUQWEjq8Sto7T0y7TMKOiJalSdSLsqgRhZ0RifWQ1oeIFVLra4jsznuE2KLKfft7lbj2E/9aPHPx7ydAopI+ZuLEYsPjVQxZTyawND1i0DE8+9BVwIAqs021tm5N5MaxEFggIIIC04CyoSIDqQFIdaaWMEulKnwvoSjoFeLWkPgB7RmFF0nLaLqEpfjhtQpL3GNWszg46ElF0+tz79ca3t+Xn2nBAUjuACTHbh2RAIhyTCTLTAVA8iRJc7plRL1KBMK2EdoNnkwJhRGU0paVYMEzxCNA4B2WlgvapU30aRq8TqhKV2dpPdXMmUpQXi8mkoJuyj4cgJicKDB79hHMOwceOpp4th17mzOV1IF+w3ejnCahKvedQqqIW2ovEVTCDUGAYYIZ7BJLaVVJeuWBtnfn9f1GRUANYqk3jVNzJvarej9L+2DFM3gDyoIAEVGO3ucWSEzDAUjDVYybnYEqsobdzYmCI1QqJ+ROEAkrZoGYZkC7vA8uPV/I2JWYJLr0j+47UjdnKmMk3FPdnOm27xOgdPfnGYhpEBlIw1jmkQs6s70vy4Q8dxtWue0ich3ZCNC174w3ZUQURpuwZUSnzNDGUKgMrYVCOUBR4FFXvJnj/rzIbNmbxDrXys7iyUrftJ6AKuPvwUbirCnVOvP1kZgzdW1I6WjWVUw75YEk6kP+MaaJtCkZjNEuSEtX7tsL0fbB52ytpSIMfdAvxbfPRYF2/Us0Ydc6u1pYapNSdZCnXr6gHdU0tdB3uthIjXlUzBmJuTOvoywIEEmZiGkQQSSwkWRDIz87aT8LMT+IhN4qQViN+TgkJJ5BA6U9p3aDIOQ8NWB8L3GPSqrmTGrW1MO4q8JqdWaILEQChZdG1EAkN+DYh244xpF7EDE03CbWufZMxG5edTUQMaIoJW6jmSmhYzSZFjpFhlJC6fSEyPTtoEoHPd50qTARcflgYpqD4B6uNXtFgwidWyJbrAvLmThxWQITqWtDWotlaY6JpHvw2FSbvi7co9EYr1k5QClLsfqQBqNr9+3rEqud+T2CfFrLVGfTKIwDEuUAQGuJ5jDzs7XK71VAJGEjNVMl6GwJiKQmoe2D6cTLDQGRG2gZ3Sw3ywIrRjF6fC0jp1Z1I9jNcsPKgmEiKQsxDYekjThLR+ExobQhSlOqcBh4s+eDxMzWYQqySrdnJMrlaTBurxIVhC9CcpnIRJiHiaiKrd+TiaTmjNc9NJiGxPvL3UzbcCwktwwkzy37AMgzQzMvaGj7XqZM14beV2Ii9b14G2L33820oV1kFMoykiLcj0a0naFROuo9SjmTMFJ9Wz9WLPDJfeaLEwnu+URYDc2WMJBgwiTmC2BNPB31Ia2FXBuWn1zNpuduZ2BqMQCX1pzhxFu+SXvp5bTJKvvvlM6UKbRlYmVpzTqj4n2H7zrm4bf3CMwjuTdbbd6UkcBG6pngfF6TXrqaf94VxZ24biMTqTLdOpMLfTDpmzeiLAgQEUUVQLyHphHjI7ywSlDjJYY6exW+V4IEH+gjrtXT3cIygdKBSZaAiXcP4kDENXypo53fC0QqJdVEwqBIO4DE2BgPHJAAiAUPnQl5oyTPSxpZSdOZM7k29OUFDV3SzEpy5R/jht6ZkkQMJGQF75gMIwWF60XtMqcQbU0hk6GV0NGCVlkMVdBCmdB6H7eAVtbtm5ggIUO6gN+lrWc9pXpIEKGrHb7S3rkTTjNbL0CXuKy1oZEZtjx7J33TQ5x6yzOAYtWzd7DrDz/E2B0vM3b3HkonUHuRGbB7GhuNLjVGazo6wwDLT67l7PILdBrGdalo4phgttgbVIk5Kwq7nYQCuyWGN/Wq2lyXOZOAR9qXqiBS1T66+1cCwrWJLNUSb0RZOCDSTDSQhkQ24gaYH2RXdOVdEUTomRLQRgImYKJjrlfwIOK9MjU7v0tNS0plYLhL0bWGdUBSub9MUE5IzTLTBSB9jon0ZYV9Txc03WPDsZDMe2eQACi+GNGYTNExWQCRpi5pm4y2ysmMHYwtJ9Dqwn6/ozOUyqxOogVTaDuQXEyIFzpVaQEl1lOSWrBm84d6CmteInAAPT0vOrPicuaOybyoXNOHTr3n62z6s/ew/NUdnPreP+PkLQdY9o37WP78HQwf3MLEQ8/QWjYRdBCwIFuYDFPkLD6ygXUv7gqXe2r9SZ6/+0XXdZS7HR26kuooq32EJQdx4zWlsXsJefG+lot1vmUB0TtDUj+qCyxMyjJ6AUgS4VtZEvBmAhGUZx6OfSQeC2kkYhq42cjYge0iNX00YqrEQ6TQPsw7ZPzCdnIpNZIpCyAK12EVUtmoSCWzxzwUfT4q6gZIb3PGmy0EFy6AakQvTKNROrOlpJkX9DvmAdCfFTSzgv6sQ58uaWjLRhrKemwAMqLACm7WxdL3js4oXO/raE3D5NYUMhltk5MpQ6vMw3d95gKthaIQSqzpJ4W23iefed512hRw5UqDJICtVNz19gaqnhethSwvA/MAusTlRmbrQq8/yfmP/BkrPvsB1v/JB5j4+B8z+4FH6Nz+Eou/8nZWfPHdV+2WvlzYcJJ9Dz5L7sCmUJlPSes8NwmYBDsm7pekHADEDPmqws587FK3sJqwGg8kdVMl9Wa5+ClvIldMmbCmJzH931Q5VlUCII1EK6jFSABdSnzqyqsHVgEBOEScEp9kODeZ2I2bdAImJa5Du+Myku0AVJWivw5zBi01EJHggQHQjoE0GpZ9NPKS/rygLy/oc6ABlj0MZB36ssKxkJI+XZApQ8MhoEbIEiZSisagwmPHgUjL5HR0QVPntE3ObGnIVVbRVDLHTNqFZSRKQVmqyEqC28PVo6sfW1dRm6rXka0fPzNKZJo4Bpi0d55Hs6XhzDoLGhE8cm1o6sKCysbjzHzsjxj6zPcx+umP0vqhT6E2HqX4C8cojmwmO7OKxlMPdjVdZ/EUs2tPc/q+F5hrFrTLjEaRQWnrSykowGklGYJ1AyulI2AruxhPa+IOek7zIaPGRNRVvDMJS+uhi5g0ejedpDKqa4mgEtF7o/IjLggQ8cKiZx+mAdIwlQGmHYjURbQ0SrPXyma/gbWIohRT3X/WuFDvFEzcrBron7GAIsbpJk5XUUIlOCD9aS+8VWZZfCPXRMI8ah8AmRNQm3lB0wNIZkGkP+sEEBnIOvTpIvz16w4Nx0SCJjKPOdORjBJFR9nm79MFLZPTUCUtZcXZWdVAKwmspqUsK4muUqHQ2rlDBZO5enVmYbolZbrupqvUAMQDBxCYZubAw5stzdwCBxDAw5t0TV2S6zKYdo2NR+EH/wD9Bz/IwCd/BLX5CGw4hhqcwezZjQxdpnzXVzCrz2IWX6YllqG1TUa/yVFF9b4hMt4yMBANHRtTksaSRCYi1dABqYPIvJa4LU4M7WYjMRAP6u/VInmThZs+GO9Nac5IQ5w5Y8EjAkikr3URzUdp9orOBEKEpjjRrHRZtr0qX2qJYOLiAqxJ487mAcXvst6Dond5H1LB0Iu/QFjCrqON77WPzDGR3JkuXv/ozzv0ZwX9eYeBzP4BDOh2BUD6EhDxZkymTFha54tBUzog8SDSkYyGatiZ3BhyY4GooUtm3f4omjiQMiW0nfCaejIA681woItJRO20goSKJuLXuFRMVLpF09zFxljAiEwk1YV6mnabDsOP/kfaTz1EeWQz8vLuMOk33/Ulst0vxnowOR2TkZuM3JjKfddNu06IGPMxIomMrZIYGjeRKA0qs6xEUhChG0QqmFvT12KcVHwNkYFU1hFlcaW3vcQYzfvmYiL0AJDEO+FnZ6AiomXaBJpdd2f6kkZpFkaHKE0LKMratw5MvEvPRnR6G191UfR0vxp//ZVWD5GKVKmk6i0S5nkMImtkJf0NOyj6soLBvE1/VgQAGcjaAAxmbfpUBJB+1aGhCpo1JpLVmEgp2rIQyem4KawtloU0/KNqkGFoKRO8O16k9ezE17cudYh0BVw9KsToYEb6ZQeVBvfmvhK377A7XxZTGaTgkSdmizXhbH013fM+XVRMu4ayYBJMu/VHyDYcopxazOl//ffsbzfadL76LvqXnadv56t0JKOlSjragkmrNJX7DoFr9U7mo2AVcRV0oovZoLxEVNXE1JS1qN7qeV11BWE1AQ9F1WyBqier1s8Ci+qK5r1+OnJVT7FS6reUUueUUnuS9/6xUuqkUuo59/eR5LO/r5Q6oJTaq5T64HVf4c1ys9zA0j69DoDlP/5brPz5/5PGmpNMfeaHae299Q2+su/eci1M5LeB/xv43dr7/18R+RfpG0qpXcCPAruBtcAXlVK3iMiVg2u9OZOykEak+d7FCQRK26iFeV+NidRDvUvHSjpaAiPRgZpbkQxc2HPNzhcjftqxRcK/yj11BcL5xWEuzkG7MHbvgQGsKZOVDOQdp4EUDOVtBrI2A1mHQe2ZSIt+VTgW0qZfd2iqkoYqyAJ7MD2ZSIeMUjp03Kq/OWnQVAUN04gmkbJ7x3pWE5iHEubKhpuhhUxr2gqKMtGstMYYayZ6c8aumO1RRY5WpyK5D9vPepgwjaykP+sEJuLZR6oPRSYS68IzEtHWHFw0eJHm4CUGf/zfc/I//2WmPvPDLHn/ZxnctYey2aKlynCP6Z+vC/y1J49+80CwnhXBx9W4leBlFFiDR8YxkZDMKJWPPMNJXbyqh0Dv1xGl4Q+JR0u5VBGxfdL7uX5j5KpnEJHHlFKbr/F8HwN+T0RawGGl1AHgQeCJK35LOSE1MWM8gDQaRXDjATQz25FyZcJjnW6mLk3/WJjMxQFEEGmbLKwb0QpKYyi0RjvBEECVOgKJibY+qVjYQ1lPASTkstDOhHHicJ5bAPQuXCAIqf1Zh8E8mjADWYfF2Rx9bhAM6jZDukW/6jhRtaBBGYAEiGCifGCVplTWzduRjI7D9oYUzEkDjUGLBEHWD6K0+LqeUw03MHIUkGlbr51SkykJIrYx0TvW1exOdFQeRJxpmrn6ymuel2YCIH3a3qMVmDsVAPEis048VZkD1FJ5TalDcXINA6vOsPUv/DuOffKvMvln34f64odobttP444XGNp2GF36/mV6TlK25NZcTt7x6RQskFhx3qd2DCEFgMq8PuJTAbgu5fuQ609BY6utG5NE7/AAovOYqCp1QgBBS9QKB9bfARC5QvlbSqmfAp4BfkFEJoB1wJPJMSfce11FKfWzwM8C/I1f+kVY1Qe5rYAsrwJIqsaHKE2nwufaNpcP9QZCsFUZQERTaGPBxDGMQmeoUii1RpfWnVkabReQQYg1MVooS7uq0xiNGL99YcwdUQGTZBaJgloUtXwCobCAzrGsfgciHkCiDhIBZFC3GdQtAPp1h0EPIiqykIYqaSbxIVmCbqVyjAxFh4y28iCS0RQLQE1TMo1BS5XB+PPpshFfI8n73v0plEbQxi4+K3U1PqfaB5xoCQE8Mh0XEFYARFuR2YunEUTaXeKy1YccK/MuaiwQdJrTtqkuDrP/9/8aALf/zf+dnT/2q0ydXc/4S/cx/szbae27ldFf+P+QZa2eiZ3Sx/TeKkDi0xoWKonMVSF4EbBePw0+702sHKIm4vpRdPMmnpfKYsTIPlLw8DoiUHFEZPOC4msrrxdEfhX4Zeyw+WXgXwJ/6bWcQER+Hfh1gJ//Z78swROT0nw3S/dl0Zzx9NXGA7jAokA7Y7g31EBErPlSOEW9EAs+hWinwGeUQYWP9LxQNpVdWdoZRZS2JETHlIhpzlGAELnoPA+B/roVpmmsg6fqMYisG0AGdZs+DxqBiVgA8WzEg0dD2T9ImIi7LIMFklIUHWVoOCbSIWPO34A7OOsBIvWSMr/wvMwoHHh4MLkaiPhZMRXKgWC+pN6X1LUN3QKzBZF2EJibIWbGMpH+LS+RNec4/+xbw3Xs+bf/CID17/gcWbhtzVD/NKrs67pu4/z/AURwoQTJMYUoJNMgYt9Psr2J25Db/owkNlBaOalZ400a6U4Bmawjqgfk+XVEPlUEEILyVOK+v97yukBERM7650qp3wD+2L08CWxIDl3v3rvaGRNvhaX5HkBSRR7oGebduALdtHqIpuGCq0JIuFsj0k5m0OCyS4pdhKZthiujoq1vkhQ1PZX16EZLvQ2+YVMAsezD3Z977QdLv+4wmLUY1O3APoAKgPSrgn5l66GBkPn+ScjoB/hV30IHoYmh7RCj5c0XMWhjwkLDUume0rtJASGnMv16QNZGO/Mkrk2pA4l3m3q3sU9n4AHVB441MxtYl2ofg85LVfdQedOurg8FE6/Zpmz3M3bgjq77OvHVD1deN2abDA60XN3FhXoms89N1nGePY3JSwuWWZWdxLA/XO1jGUZYEGo9gCo1iVMGAsEsriSgrnlfoBpDlXq2bJ0mOpO2gDq/efbayusCEaXUGhE57V7+AOA9N38I/Gel1L/CCqs7gKeufkKs2KjToKJqGHNTx0HWKx7gasJqiWUc2s0i6XMA3QNA7L06DQXv81duZadJwt57uMmUd6MREidnmZ1pU3G46QOlUpDURbTzVeFAohP+gOR1BJB+JTSAzM1yFkTitZV4am/D1tMYEp0wEWMseJTo0NltHI2NdDUJwwNsHk9XCiXhUbtYnLpGFevcmjJeC/Gdu+lFdJUGkVXF0z4HCnUASV3dvUDk8rme1nXPcvBf/WN2/MNf7HnfRWbfK6S0EcCiKDMTl1X4LSNEYTKT1jCg8FugKmX1NekBIr3WF4WI0zRMwOePmSeuJlMSHRMqSWB1g/IjXBVElFKfBN4NLFdKnQD+V+DdSqm73W0fAf4agIi8pJT6feBl7Pz0c1f1zPjfyZJ8oc6Gy92s1NRxPUgKID4mwNr+EVm9R6IUq44bUXTELnPXkoCFwS6zBBtNeLXNfIyfmQ1KJetwRCqzrE/FFwRDHc0sH/PgG9Z6mKxADNBQhj5nrvXrRDT1eoej5/2BulcBpKEUDQd8HkDsJgWGBhZIMsdGYq81IHYBmqHEqA4lin5lhVh7XRkNldGnCjvzisLowj0mTVzmlv6UoDOhMBrtgLxug3sWopWQK0ux/YpkqE0YTiQN0bmu3bwG0q87mKkhLhzdxuSRW7h4bAeN/hmGVx5n6coTjKw6yrKVx1k6fLZyDe/88X/O4tXHOfzN97Dq1mfpW36WV778Qxx9/EMATHzl/Sx55yPMXVgFpzZRnl2NOr2OgSWTdN7/KE1dUGhNoTWNrIwMRFwybO0SK0rN3vFxIpkQ9p1JivhYI4givSJEn4Y0kCpqbsG7pSTqS66fhf6VOCO+Y+aMiPxYj7d/8wrH/1Pgn76mq1DOrg4KvQTb2Npw1UGWMpAAIklglAcR/9q4fSFKFWfWVCgwymC0woil8mmwmREF2s8wJgCJnWWcC67mfQiCoWMhwYSq2f0hB4iOOUD6ssRFmfxF4dQxFhINhCqANJwRExmJDmkAtAhGGRflFFoNg7HraigpUTQko1QFTcfQOu46Sm0/6+iMkpJcarO0Ll01KTswtK3D+iCBxG1M0tbJAsLc6TuNRERP68T2h4LWiQ3s/cxPMDu22n6vf5oVG/dSdvo48fIDHHzmffN2vSf++9/iIz/3d7nvg/+RjmScPrybYnoRd//kv+K5T/wvXPja+xn7xruQTrN67avP0NClTaHgrr00Orqnlca4QY249SseR1IwEeyyirr7Kq0uHyagpBK2rpz7VqcgoqSrn6XZ7ny+GQ/cN6IsiIhVwHkzpEJt88R1W0m0g1RMmBDXQH2mK+3gEW3tbENY22DPYTDKfuZnVGNUJcQ51wYJncOJBcYbAr6luxf/eQAJsRBYZTzMvE4h9yykkQCfvyfvWkxZSIjAdN/JEBqqCiApeOjARjKXnR06Ag1FiL0u3TlKjItmFZqqpENWGawNlVlG51hBgaahDAXV+jKiyLV3p9t600p6mjM+rNw/Tzt3cN279g7tnLhuG6pk7OgOZsdWc8sH/gtrtz/P8jWHgrs3Q5i9vISp8+uZOLuRl578CBPnNtrzZx2MyfjMv/o37H77pxFtOPDM+2jPLOHcvrtZtvN5xvfexeIdL9Hcvp+pvbfT2ruLxp3fonP7i/R9435a9z8XFjp6ZgVOn/BsxEjYFgLx67Jcf/GLaXpFjvo+lYYLOK+NSideb8548NDpBFwVUUPU8RutidwsC7scOnQbjz76ce6/7zHuvevJq3/h212MYum+bTQuLam8rXDrnWogkimhs+EEsvnoVU89N7aC4498DIDND3+ewcZsF6APLJpkyeI9LB09xbce/eF4WWUj5Bh96Wsfr3ynM7uI8b13AbDiHV/gwp77ae3dxcDdz5C95xE6v/1XaUwsgzv3XEPc95u7LBgQiYnEq6sl044FkAb++AAiz0Lq0ZmA9Y0pA6JDRwXrwjRKWbew/yz5vbikWwKbCCaKkhrnmcd9CdXZSUnP36kGynkfvmUZ9h69uWbi4jrcOYgemAxFphQv7XmIl19+gJdffoBtG3+OZcsuuLrwVFuFe/bfK12QWQw0M2QS6zQL12kqM69OHgE7+ypBi2NUE0tZ8ejbGDi/ApOlURT1CksejKLv5VuZ+Yu/ix7oVOpEI6FeAI599s+FUzzyz/4toxv3snrbi+x66x/T3yxivSKMn9rK9OTy+a9hnnLw134RgIG7n2Hph/6I8S99CCaWJW0aWUh9kV7Qx/ABY+I/qNy3tXX8e1L9zMeMKAmMPT6vnip4vKiOn0pMT9KWN6IsEBCRngACXPFGXw8d852vcNNHPYWgP2/6nlYSYk588TNouIMuYTUBQlX9Xq+8J72u0f9272Ok9jr+yPd97yc4fnwbhw7v4n/9p/+Gn/rxf80D932NTGlKsbvBlkma7/pEmobN9/xtZSp2vVaGzAfx+WsWGH5uN0ufuRfJO5x6z2Nc3nq0C2891famXTMr6Tu/jCX/5c/RfP4OsoefrNRBpgzF+DLKxePoZovLx7cAsHLX0wwuGefCgTt44fN/gWUrj7Ft1zfCvcxcXsqTf/bTANz1ts+w/4V3MDO1rOf99SoqKxi841vMvnA37aceju93muj+tquH3m1Vae/6fKN6gIc/LnXxVr5zzZd9xeu6UcFmC46I1WMJjMx/iXUb+1pKibauS//6Gs4x3+/MF0T1RhetDT/zM/9neP2JT/4crVZ30NS3qxhRZFOLGPnGAyijOPnhR7i87ShGKecBunKdlSsv0N5ymMaz90ArCppiFBe/8j6O/+ovcObzH2P6yA6ksJ9PHL2FkQ0HaA7YRMwoYezUFsoiZ/byUv7w3/9TJsdXoVRJs3+a3Q98/jXdU7b4EmOf+Ktc+uwPVN4f/q2fZsUnfpRl37iXoRNrupZQdZX65/P1H0n+vk3lWvr+tZQFwkS6oxrrg7N+w0ZUQOQyMVmg5uL1x/fouCHOIfEu+HP749NNjvyfqS0m614bEmcWe7xjJe57kpw/XSAY7tXl/PCfl27xIIoAgGXtfkpv3ohlPouGpli96hhnzm5k+9ZX6Otr2fUswRNjwnUZ91eiwp99P15HmVxjKen1absmx3tn3HfLJZc5/+6vMvr1h1j32fdx5u3fYGrrsUp7BO9ZLZbEoJh54JsM//4PI9+6B/Pw45RTi5n84++jPL4JPTTF5Ct3IYm7vjO9lG/9158Lrx/9xD8A4N73/h5F0WT87CaWrz3I1Pgqnn7kx3mtpbg4Ou9n+dRiRp6/g5Hngbc+xdiOw5UI1q6Jph7h3CveKGUJomqv4/viY0zc212TsOvb3qEQ3hfF1SIarrUsEBDxLlNC8iC7Q5sNVy+MJvd02UWdaiU2H4bBel48kAAm6VxpSsCOZGEgdCRzFWwHgF+cV7jAoXR9hOAHO2E1aiVfq9QbL6rthhgDIFIFDX9f6exciM3EblAuA5ndG9evd2m6sJtSKTrooGNkgHHu207SqQD2H9zNH/zRj7F920ts2vISjb5ZSiQEn5UilBKBIs1+VgEUt3DPd8z0eRoKbrek0EzecojLK8ZY/ejbWfeldzJx/CBnH3oG0yzcOT2QGOvJ0d4FrTArx+hsOUz+zH2Y/llaTzwERYNFH/0UA0OTnP/9n2Zg00GGb32BvIRzT7yXqZNbKn1qYPEEq7a8xNmjtwFw4dS219YpX2Mpm20m1pylDLlU3Hor329CYlaq6616MQLxXhtXfFwJhIhX0fV+GJNvKSUhajjtzz6vrvWi3RhDZOGAiLHLx0sx5G72re6TYm+4gf2sMDZ4zMd+aCUxFsLPcMSZ0wOIT8RjRIeM54Wxe7AYH3koumsbAb8nSVnrGNArTkQFQc16hWNQis/DqY3dosGDpA+5b+rCrrA1GaWy192WnIaUlNKh7WTUhmQ0nUu2RGjjBDsx1n0LLFkyztmzG9mwYT+PffWjfPnRj6N1ydp1B9i47UU2bHmB9ZtfRvfP0sGCUhtNm8zVWR7SBbQlD6zDrgB29WkyOg7sAQfEWdiKobVkmoMf/QIrn72DFS/sZvDMSo6/63FmV4wnWoF1BfvV1r5cfsfXWfqp70d/6Xtg9ALN7//PNFedJjOC7pvlzB//OZbsfJEdf/43GRo5ywu/8Q8qfWp2aoTP/eYvX3snTNhsvQzd9ySduUHaL90579dPPPgtWgMt8BOhS4Ugrr8gxFXgMWdAwizSawn/XCxJdBG7mSkAU0zJaJ/7yS7suawk/J7OJExgN0rMWBgg4m/abx5U2jwVnTKrqMkALX/JugDToMQFnNEdhwBxzYMHkMKBiAeQlttzxefV7DhAqeQdMboCIPXl7d0g4v/clBEwxM0QSjuB1W8QlVE4P37b5DSUoaMyWpLTkCIM2jlpBFOtI3lcNGdPbitSQSkll6eGOXjwdt72zk/x4e/7D7TbTY4fvZVDB2/n8ME7ePKrH+PxR38YpUtuu+dLvPOH/zWdBCDmpEHbPbe/lzEnOXOm4YAjo2XyCgiDZVLtMgu5W7zpdvKel7i45hybv/YWtv3J+zl99x7O3v6qjVLW1lMmoqyryXX49uIZpn7wMwwc3kR21/OUfXPMmQZatxn5vv/O9Av3MvnK3Ywd3klxds3r7X0ANAcn+dDf+5u0dUZHcs4duZUXf+vvhs+nv/nQFb8/t/QS57ccpShs/zS+r5SOlZQKKXW0HX1f9dGqde0j6cqiBZ+vNgSseeBVKrCUuH9y7VQuxgSg7SKzc2Vel6bYqywMEAGMSwRU+oCs0g64zGgypWm7fKB2FnezlS5CAJl3+fpjIAqiJTrkE/EZzlMAaZd5BUA6ZRwUndICSOHAwyQzDCkTSe4leGCUIKJjZGstRb9WdtGfXUofIwptUmTjEic3gkvTunhj4Jo9hwuyE5zSYaNXv/XN92BMzp0P/ikdMajGHOu3P8fwmv3MdhocO7LbXpPJGFp2ljkPEtKIf8b+AbRMg5ZpBPBom5zCZLRc3bXd7mIpgPjET0YUqt2gk5ecuv0VNnzzLtZ+606Gzqzk4Pu/gpHMBkNpupcfLJrF3PUSfUajP/UDyLIxsvd8kb7tBxnadJT2v1vPyT/+EQbXHH893Q6AVTufZcvDfxYAZOL8ugqAXEs5c/urFCaLDLbUNhu+0TZ5tUuxaUFEVTPgp6zEF+8KxmlpWpwv15rKFSCprNO248YYTSe5vmBuO5A2ygYE3oiyYEDkZnl9pSxynv3qD3LLHV9j1co4kIpOE5Shf8DmzzCl5l/88ieYnVnadY7pS6O2k99AR5Pu5Kx+6h76J4bpm1xEY26g8nl7YJay2Znn272LOrgdc3A7U0+/hfyv/V9kIxMM7nyZy88+xKXxFa/7Wkc27mdmYgVP/r//PijD0OprB6T20ku0lkwxue701Q9+k5aFASICUtr1KmWhA8XXCto9fNkx3aGiUHHXt16rEg1eX7F2e8pECqPdjGrf75QZHTeDdkpHz0tn35eeicQ0AGE3PXcP4ak3ZZRVi+Mam97+umo+Dh+8lNcC01zWMXcOn++j0x7gm1/4Cb75hZ/gZ//Jx+nLCzoIG3c/AV/4ST79+/8TP/yX/jFFqZmbXQTArvu+wO1v+0OWrDrO05//CZ7/yg/Tkozbv+93aKmcOdO0LESazIllIp6VzJaWkbTKnNmyEViIT6ng61HP9jNyYAtZmTO+7hRTyw8wu/gyc4unmV00jTQKd7+51bZEkRmNyUryXmimgb/26wz+2s8CMPFrfxu1+BIy1Q2KAMtvfxqKnAuv3tPz87S8+oUfSRpPM316U/zZgWnM7NC83y0G5jj03q8xV+YURUZRRiYSWEipoNCWiQh2l8CQ7T2aKdUSQT34DNyarWDWZL5inEMhPM+QTJGl3k73aESFkHjPmq63LBAQsZUszryzWdd9roms5wRpRNFEOW+EroBIV3pEZ8akAm0vAClFWVOmTDQR1xkqGcwN1UREPTQRuwpTueRFDkSMdcdJNr/735o2DiiUMJsEfNUDzNDQ39dh6eojXDqzmf/8L/8dP/J3/zrjx7fzzCN23eThvQ8wJwrygr/xzz7uFtkpOqKZlZzd7/89WpLz6mMfZ06abPnoJ2mRMydNZkyTGZeUZ8Y0A4DMlo0AIHNlg05p9SQg1GPZ3+aVd3+d2x59G31Ti3jlgeco+trx2sssRPSWRpFpQbRBIHRuk6ng8jWiMI0S/va/pv+p+9FPPlwBkOb6o6z8yB9w4tf/XwBc2PMAG9//B3ANINKr9G04zMA9zzBzegPtp+fXQwbPrMJMD1I0CnvvKYgUugogBpdnNQERIWoatYnIv6FczhERQt4RwT0KiOvTSgSbTMYmenCHIKJC+so8K4Pg6hflXW9ZGCACLu+kV5q7c3vU4zIKbT0FfkViPbQXIoikblsvrKa2u9dAUv0j7QxifGpEYp7Vuqqeor4DEJ//wWshoqUSb+LvZb7SK6IwjQ8pjGL81Ha2feC/8ezv/h0uT6zmN//BpwHoG5wMx82YPHyvdG7tNlE03fq+P2BWGhz96keZurSCtR//T7SawpxpMGNsMNds2WDWNAMDmSutLtIq88DgAIpOztIj61lyZiVLzy8nK3OGJpew6MwKLqw7U7mXNGVCaazgnGbhsol/nKs0i25KtfICVeMI2ic2ceLf/20Gdz/HzEt3A3DsCz84b90CbProJ5k6vo3xF7p3wWsd30Lr+JYe36qWw2/7BtnFJRRLLlMIlIXz/hUaKbTd7NwoVGE1EWVwOypGTcQDQ7Vu8CuLXD+y9SSZXcCnxDmSREHCdI0YRDLEJc/KMpsoqTR+TFg9TSupMJXrKQsDRARURyEhasAQdtTGxWokcRuly91g0TQLCVZ6hcibZKm63XcmMpHSaDpGU5SZzfjuwKMsraoefruepNm76OZtBPe+FrufapJItwxA4gTZ/MrpVkpRPVvJiGbqxFaO/M7Pd3224e7HuOv7/gPN5hwYzaT0he8AtMXKtG0HInPSYPV7/4Ry8TQn/vQHmfn3/wtLf+j3aC+7RMsJprOOicyWDeYKy0JaZU6nyJDLQ7R1iWmUrNi/hR1P30uRd5hYPs6JTccZGx1jcukkdGqTgxIanZyirxNyYZQSBb9SW2G2TJICGdEs+fpb6VlMFgCkV9H9M5i5wfD66J/0ynLRu8ztOED//u3h9bk7XmZk/1a2fP0tleOObDzGK7e+avurB45CxUzvnpG4LuF3wAtgQuxWIT5MuZgQpRwrEdsXM2y6RP/jnpWIYDKbJNpuH6vC5m8+sM/uGvmmMmewSK1IgIRgJqTej9LYDFKlqErOEb+kvOvUCR0uU9etf13q4MZNFXWvd1Rdc6rialPzaCJ+3YMY/9ydywhkgvFmjX+sgaQvlSjWLG7GDdZEy4enABi+82lW3vkkF555O+Ov3sNce5DLNMlLZRP0mtjMPv7Db2AFzn1rGvTd+01WjF7kwh/8OGO/81fhw39Ke+thuLSE9sVllBdHaEwupTm1iOzyEPnlRTQvD6JNhlGGqWUTzCyyQu6ZdafZc+dLjnYrpMy66mjNqdXc8627ObfqHAd37mdq2UW73YTf7VAbSmOB1oiiyDSl0ly89wVWfOE98/eneUoKIKFkHdtGRaP6/sAMzMbjUwA5+OEvcmnxZZgaYuWRTZWvbT62kblGiwMbjkYASUHExD/orYmo2hPxLEQ79qEdmLg/bxpJBn5LEzEKZYxjLhL2oA5grfVV13Bda1kQIKIEdMcGyVh7zwFJSBuXDLLMUBoT7GiffOVq6RG9rR1ccEYlMSAqsA9jIvOwBzrXnAvyUSZ5TM2Zyg25R+3EVQf4IvZ8knltRJLo13i9PlCo+ueC4bLotu4fsN6Niy88wMUXHgg/f/7l+3n05ftZdtuz3PYjv165NB916gPwwDIR67pt0F57juZP/jZzn/4h1B9+DL9ypZqSB1qLLjO1bILZtaeZ6Z+jOTPAyIVRVh1bD8DaY+vZc8s+TFZGzSgBRSWwY+8OZvtnGR4f4eHH3sbFpZc4u/Y059afYnZoFpNZFlIabRN2n1/Gli+/ncZs3Zi5cmk8+ASdZNFcWhb9zG8y/Yc/iJxfWXl/7kOfp+8z34cy3ab1ts91Jzl64oGnmBycZs2pNZxZfg7lTBld2AkymDHepElyrPYyZ2wl2QebpFklG3mL29rVu4z9uZTdBc/NwuJ3J9CCcv3GOFPGZ0WbX5279rIgQAQB3QFERZe5i6/wanSYgU20jyMtkxA3Ad2aiA0F9pt6+/Po6HFxAUFBSfd/2GtSiSgWGt1v6u2uPzymFNTZsiEIskwbWdvNy8XpLJ7Kig+zJwm3r/6BC+o6uDPc86J3PkKWdcgQWsc3M33gNvToBSZNHHA+12wadQrEADPToGVyZgcK2j/0KbIvv4eBl2/raq4LW47y6oPPWg9XkQX2xs4D6FbO8PgIzbk+CiPgGUitr664sJxFM0NMD8wwMTLG6MQyhi8tZfjSUna+citHNx7jlbteQmcGkylGTqxhV810uNYyH4AAXP7Nv97z/f5Pffzazp13mBmY5dLgZQqE4ytPAdY8Vw5AdJkASJmYMDhWknhcQnFsFgibeStv1pQqblwl0UvoGYh10LhsaQ5ExGkiyml0fuvS6iYXr68sIBBR9ombtYxTnnFMQbm9eMUN+jIzIauT31e0l0IRZ3oVXLRAcNUap3VUwMMDB0Aye9ggodjoFQmm1gGsm9fZsZ6J6O5GFqOQPC6tj3vYumtuxOeFZMG7JAe2oT/3wXDPZtNRmutOkM01mH36beQrztL31q9zqazO2kaSDb0TEPEBZK0yp2Vy5iSn/Y4naaw6T2NqMZMrL3Bx5BItURRlZv+KrMLeAEqB80suwiKsVyLY+6pSR1MD0xxbdYqh2UGWTYzQV0s/uOnYRjYd28ilpZdothsMzPYwRb7N5ejH/4Q1X3g3upPz0nu/ysWldoXw1mfuZPXRDXzhA49gCm3v05stHWc2FA4wCtClA5Se5gw9QdZ+aB8qO+D5vxJrqvjNu3GTUYl7D6eZWOZLKeFcfssJa2W/SUBECeg2duQ17BoY7dmHi7MIaJsbJLM2nt0iUCW5SNz5lFerPROxoEEyk0tqttTBwwtgRCVdOdoYOoDUmEgvTUT5BnOH6Voj596m1QHcpGHdnMYoxAFImevg6iyMZvi53Qw9dX/4ORmeYHqgQ6sYoPz/2UhLc3kJJ//5/0a27jiLPvKHZKNjMSs5zislPmbGiaSimSsbIYK3Vea0Np4GTtN2ru+OA4+ycHEQhdOMAuiqqBd54O0xSFqqzZ7Ne4MrMzMZ73j+AYZqusXSS0uvrRN9G8qmT38UgP0PfpOJJdMUHRfSbjSiBNPJrHjqAER3nBcGohlTuufBnIlgAlUW4kMBwE4+FVara39u5zwPJuDey/2amvg5Gfglu5J5z6HMt0zoNZcFl0/kZrlKERhNAKR9z3N0fuI/gRM066U8uYFLv/FzjP/KP0JadWVj4ZQyL/nyA0/wrVv3XP3gaz3n4AwAnZXnKIYnrvl7UvPyTa4YAyDr5AyfX8aiqUU37BrfDGVBMBGM10SAwD7sjCYGO2N7kDY6bGIsnok4+24+cyZ4ebx3BaJZUaq4liG1Wz0TETtzYCwtjZoI3ZpIWlRVEIMoiAXaacDkkW0BNFoNdh28hcmRSxzfdgjTcMKwUSw6to61z+8OPzGz8TiXHn6aJjl5oejTJflHPkv+2Y/0rObJiZXI6HiI4vUrZv1CunaZVWI/WmVG28U9FD4Ir7ABVVIqS+V9MFXqbUjFw9SL1UOAFs/aNCitWHN2Vc9rfz3l+Ef/jIGxUVZ96Z0AnH//lxg8vJmhA1uv+D0lmgvbDqNaTYZPr2LdC7tYPDHM0OUIHueXjUFHoQod9A9d2EeIzwMTcQxEu77kN/SeXxORLk1E3H6+nomYLDISIMYxZW6zb6MS08edt1Q25EDHvW+utywIEFFeWA2vXSIfLzoaAt0ncyJRKd32Xa9KST0D3k0LwVWbiqa91HNV0US4Zk2kMkB8Z3CBQintxNHO/rKPTWfWs/2kcxmeWsux9ccpKBg5u4IdL93K4onhar1ND3G502f3Z1EFnFhH/tQD1Ev7PV+muNPO8KZszhu96yNPO6VdidspktW5zoQpSxtEZSMxHQAnQnSlDitUvUcduWZBOxe+hlfXHWD1RO91MCdWn6LV32LbkS2cXnOaF+59ng/+yYd6Hguw+b/+ACfe8QQT2w7TvDzEpeUTrPjCe+c93pe973yC82vP0Li4hPtOr2LphVEuLZnkxOrTXFoyxcWhSdq6RHU8gHgvjNf2InCE90vsPs+JLgIJ0PbuuvYxaCIS+0+p7GbgDkygat4E4TVzr8vkXA6IVC1R0estCwdE2oQO5we9MmAadom/j9CVHLdYUVXtu0TN7oraqS29Bg8evV1vqksTSRq+BiT2d6qdIFxLYsuCa2QdZwyTC9o933FyMxvPx93ZJpZcZNOhzVwaucTu5++kr0d6w4GxZeRHNpK3mqx5zAZgFYumuo5rfvk9TNxyCFy8hY/cTdMdePDwkbs+hLtwTKRXGHeIwqzXl2dvjoVcyYXpNRE/UFpZi29t3sM9R27vOnz9mbX2WnTJc7fvwZSKz37kT1l+cZi1p9awvhazAbD+q9Ezs/2TP9TjImLZ/9DTTI1cYnLxNGUnZ6Z/ji98+Au2rQoNHdeQpRVQVUcFxqE7EUjAgod/bcEkAoguIxPxk1EdRNL+bJmI1UhM5oFCAmD4zRsDO+kFJjoeI0oFT8+NKAsCRBDI2uISWMd4ESM2ezh5kgLOqChMemrm1qiEkiJs6hnw8R0QwaAHeHjqCXFAxHBlIgvxbroeC+u8MFYBkSwBESfYmhxEhFdXH+Ts4gvcc2Q3uckZmBvgtv23ANBudDi07RCrz6xicHqIi8vGmR65xLqDW9jyhXdXfje7vIhiYJa8FksxNztE0d+KcSioJN2BXe9SJOJpWerAPMDOfCGMO43C9F6IZGatsLkrmX0BRFScIUvh/KILHB85xYaJtZxZep6lM4sZ6PTHezQZd7x4O2dWnGOg1c9gq5/G3ABTi6dYPLW4qy2utex40rK4z3/8T6oxQ8l9A6iODsKpdgCiEtCAFEQkshLPRipMRCKz7TURkZoz9jyiVQIYkpgzkdlKhjPhCS5h246evcd59XrLggCRqjkj+HUpSsC4gW9CVJ5ETaFGzXpVSoVSJ4wkzJg9wCPMpP64BECUkW4K2tM7I1VbFmyujKzayARWYpjon+DQymPccmYrj975BFppRqdH2H5sE1sPRjt+bHSc0Qu9c34qVBeAAGz63R9l75//NO2h2bACukyYiF906MP+K7oHdLGPXkFU9fqCHqyt+4JdSLettuH2MlZeXsGqy9akWX2pt2mz/swa1p+xiYg6WcHswCzTg7OMjY6zOWEkE8svcHLLMcpGh7sev7Y4k7LIulbfqjK6b9U8AGJfE47RKYAU4hhIBBKwE5Bnbb3qJTxPPTSOjahMVc2ZTJyJo6JeksXjwY8ZVZncrrcsCBBBIOtIZAwigNcynPWSMhEjcVZ3cRji3Lzd51ZVpE9nzHTWTMEinVnD6ziDpKIhzENFoWLLgm1M5Wim8e5dZ75tHtvI1rEt0SLrKIpmyZnh85wePceqi6PsPLyNJZcXsy0Jwb7WUjTaTDU7SJHbKF2xrkogJFyKUbvOdeuFU6iGcHvXZS2IKtRXrY7mDaZyZbgzwvK5FayYW07DNChUwYXBMWaaswzPLWVq4DKbxjcAcG7JGGeXnafVbDPbP8fM4BydZsfuUZsJd728K5z3q+/+KtOLL7Nt3zZ27L3livVzeMthTq47zdDkIkxHV+KG0vsGd98dK57qjgOJjgcRe5NBCykSACntCm3fn4AkYtUJrZIwBL9cwjkOAgNxZrEycZIF976x7ARTdfMGJhImXfc7NwABFgSIKGfO2E7mazB6aIJOAlGBNkShyVUKvYSiGoD4Ck9NGCQdEHUQkURRT//kmrwzknpngiZie0oKIi3VQqOYal7m4uAkb9l3DydHT3N85WnKPsPZ4THO3neB7/3K/PvKXqk896Ev0SqzELXrg++AJFeKDmuFpKh5XXwsRBEZWxpQVTVnrgIiAsPlCMvbKxhtL6chFjjG+8Y4N3Ce8cEJjDaIhiPDdgDsX3GI1ZdXcmb4AkWzjAFWYq9NBBZPLmbDqagr3feN+5gYvsS601dPnXh87SkmB6e52D9ttQ+/ZL+kct+2LqIGEgVVBxaOieiEiXg9xD5K6D9g+1clRsTOn/ZpCiKePZREQTWwdAl1b9zYUEYcqKhgQvtzBQb/ZgIRRNBFKo66ypNo2oQ6zqxWYhf6JrTMi6u1orxIG0DEve86uAeICogY6ZpZvRjWNTjc9XfbsyoEm0UQUeH6tThb1nmPzvedY6x/JcOtYZiBofYQwyeWsPXsJg6uPcrFxVO8fU+MDwG4uOQSZ1af5dZ9V55lAe7/o6oXo9Nos+fuF7mw6pz1cnv73weO+UHUI3gqAEiR1E1P80+qIAKsaa9nfWsTDRqUFIznY1xonmeiOYHJjKXmjuUYH3Xpvn9m6BxixOoOibblvW5tneQrAQZnBxlMIl1bzRZ9bStQP3Xvs5wbvYBFe3dAPXFQarY5TwskpowDD+UYSGrOpACiS0F3IgNRhUQQEYFSerLZ0J0z5SYj199zHcDE5LFPG6MceKiwMC+wdhMBqQIi/Vx3WRggcrOAgr0j+3jg7P0sbi/i1VX7me6fYev5zdx+dGfX4e1GmyIv2Llvx+v6uUanyT1P3xdeH9h+kL3bD7zuy7+Wsr61iY3tLUxkY5xtnOZiPh4Yh9wAd2O72eGP3/kIfe0m73/yHV2ff/E9X2FkYpiNJ9YzPjJhR+l8Ws3Ncs1lYYCIgG53K0sluPW8cWEeYvWREGSjcZqI6mnNpDNh18KnmgZi7XypemeMe69uylzVO5NqIs5mzcRRTSsU26+5MH+goM2rI3tZPbua00OnKZrC2JZv8YGX3t11/manyfLx+TdUeq1l3Yl1vLr5UIWFqCR4yuselZk5sJJqfVU8EK7e13U2saHYwnl9hoP5q/ZgX+8JY9MmehJ0zdNgHKvUApI7cwbc2qIYd9POO5wZPc/qsaoou+zsKGOj44zfdgmfTc967bz9QAw6ND5YrHrfUHPf1liILiQ5RpyJY82YYM6UkYlgXOa7xDwOLMSHqpfKsW6bYEiMQXLlGG1k6ZaxK6isfvd16OrLCf1BArgBZUGAiBJX+YpkzYBN6GNxIhqKfpMrIw48XCUFoajHuevAkT6vmzDp4LDHdavqdUV9XhDJoKKyi2tAZ6Y5DMQDCcBEY4yxgTHE4JLZK764+zFGp0fZcn4Dw9NLrquufenkBafWnOLy0DS7X72NQxuOVLJwWW8EjF4coVk0mG3OMqdn7V6+fi2ID6JKQaQUmkWDwXKIhsm5qMZYW2xkvdnCeXWGw+pVa0Li6qYWT2Ozv7nq0qrS3pqk/YNwIM7ksYMH951v7nyR9z7zVsqs5KWt+9h9aCd3vbqLr9z/DcqsjBXhgQPiWh/f3s77lLpz7T1SFU1rz6EKILqwJowuDapwgOGy+ysTbij0I4UbB67fKGfKkGmUcWAitq3savd4L2F/myTyW7QDYNyY8VrimynYDHF2olZW3XZgYpf0p0DiF+U5BHa2XfTO9Dp3lYlU8jgktntVEyHkOa18bhJlXZJzuXsIxQXAKeNYiJsFtNgAubjzWxVI7GVZRqUVLJsZZdXMSpZPj5JJRitvc3TFSc6MnOPCyEUbP5MJo5eGefj5+7jWcmjzYQ5uOkqr0WHX3lsodcnRVacDA+mb7WPD2dVsuLCWwXYtS7tuM9uYZVZbUJlTczTKnKFikAEzZMGDmOBnlmkGGOICpzkqr9qgwYp4aOtIOdHZZFFrMlk8UOM0Xs9SQrW76GYPJJkdjJ79zfbNoYzm9Og5dpzYzK4D29mzfR+hyiuTjBNPEyBJAcQDZUVQrblwIxOpAUjHoErjNBETVtUqT0nTvuTv2t+ktrRBGXdfuXaMTCMS94/RbkL122v6R5Op6N2sjJkbY8stEBDB7rvSAVHaNopbd4LLV+onC53M2h4gxPe11wAiPhAqmCqBhcTIQqDikktdvYilpUAPUcyu45EsZqCCSMtxM6km3ltcgWwBpFn2c+e52ylVyaklZzgzfJ7xJRdRWof4FikVCrjl8GvbHnLrkS1Qao6vPsXSqSVkJmNoZoCB2QE2nFnDqovL0aIZH5rgwIrDXO6bZmh2gMHWAEPtAQbag4y0hukzq8M5Cwpm9DTj2XnmZIY5LjNoFrGB7VwQByB18dndr4gTxb2pkgCFSLqzoRtrtXbWKAy1k4tQ6JIVF0dZkeyju/b8avZs2ReO63b7q+oEk2YkS8XjpK/ECSgm2Q6mSwoghXssBR/4ZL0ziU1iJJgxJGKo0u6JW7FL5mtDV3adifWkwljRJOxOIru7UVuELAgQUeCYiLUVdeFmJ+UW2CUNSIgHcRVMwJmqOZOIZqk3JXXd1k2aVPvoYiKFhIVTyqvpqTlTIyKilJ0RM38x4WotUJR2z1lVitt20x6hlWC0opXNcWbwDKtnVjM+MMGl/ksoAzvObGH9+Gpe2PQqZ0cv0NfuY3Ry+Ir1O9s3x6nVZ9h2dHN4b+vxTWw9vim8ftezNqN527GdE8OnmG3Mop0OMKtmUH3RfNEFZB3NQKeP0hQUpg2KCmO7LBNcNGfpSKsCIKF5vFtesLNjAhiVY8vY3kphk5knxbLQukqqeGrHcwx0+sIxKJhrtkJgXN1zVAcQXUtpqFMQMZKAi2MhNS+V9iaMYx8BQApjGQjY0VwaKkzWuBv122OKWNNF49SzKlx4ytL9SQSSWDWuLiV87brLggARb/T6wVpq5WZ814hK4mKh0leQG5DOrLl2c8bTyNScqb9OIgp7AYjXRUyt4X1xgmr3eIhmDimA1Mwsn6d635J9DBaD7D57K0/1Pcv04AzjgxNsOb+B+w7dweHLx3l140Ge2PUsnb4Ol4em+cjX3gvA5NAUS6YXMzk0xeP3PcOW4xsrV7Jv42GmBi/T7DS44+CtAMw1WnzttqcpVBEHRC8NyT0XKZlTMz5A19VxushMKKTlljNQH+MOSMQBiBf7kilSJe3qZgpVVutWVDLBuPr1Z+hkHdoNH0Iq8bS+roXIRlzdx76gqq/rdVHWHl3/DezUvaaMfdszEGWMBQ7AK+yVvuQvzzMSp4IqQIoakCgdTCN8XahaP0vrFIJ2dIOsmQUCIoAqjY0SdDaxcn5w3wF9w9s0+e61ssKRfU6lYwGVYLDgTUneI/EepDEN1WAgksERA4VUasfW40QcM+qF9BIGQsKyHGCG7/qIw0x4adnL3HfuXu46dTtPbX6WsaFxLg1MsnR2CVvObWB0aoRndr7I7MAs2mhe3P4qdxy4lSXTiwFYMr2Y93/1XWRO3T0/PMazu/bQyYrwm8dWnOKWY1vYfmozb9l3D89vfAkMrJlYwYqp5bTyFnuX7aNQnViXhkrsTUWwllq7Cd3is7i6wJ5DtLXh7Xn8oHAMzYuvyo4ZTNLGOmlX36YqTuwBMHosi6gHwalK+6fXnjzi29/fa7IMIhXbnQfG9mUTTBZVOuaRMJEgrtZ0tdDnMda+F9vvxBhw+zhbD4M3hbBeHEnqMkzAsU5tPUXd6HrLwgCRtNOJVBopzhZuUDubLmghEYQDPqjkvPY7/jfiYE87esXU8cfUTJXK9XkASUKV0w6gUAgWCCoXZixwpPlSKteR1IW/t05mZ9KhziD3HL+T48tOsnR2SfitJbOLeO9zDzPTnKO/00T3WBBxdvk5Dq0/zsXFk+F6KommUexfd4SJwUnuOnIbb933ANrdw6W+SZbNjvDAqft5ZdkrTOYXIyhItW5Dnfv6SD/rMevZX1DeGVf9c6dI60LV6s3WqQOUACDKDaxq1dvfqxV/3tprH+BYB5Aqg6FyTHcAorueACRiGYMkf/gJo2bO1OvJOMZWGnd/yuZKdWAQbEUXbJayEfGMI6nTcM9X+M3XUhYGiEBSuf61ffADLNxu8toP3i5XVQroSQV2MZFwPuk6PvW89KR9KfvommXt0BBVHUDip0iJ+Tbqpw6Dxl3blkubaboNpIbnlqDHehuyg+1+Tqw4zZnl58lMxm2Ht9MocvZs38fx1aeqI6j2o/4+xpZM8Pgtz7D17EZm81nOD16gQ5uh9iC3n93FXRfu5OjQUU70Ha18r26q9AJGqNYp4Gx8cfVCqJt4Hsc03fl9m/fs+8m1hONUvO3wHVU9vv7dCuPo1W96fkfC9fa8uPS9Hn0lFG/SaNX7OKtCu3oR6IbF3qXHeJA6wl5HWTggcrN0lSWdJayfXs/JRac4NnyC28/tYrpvhiWt3un51p9fw6LZIZZeXsz0wAzfuOM5phZdfk2/2Wq02bvmgIuFsK7N6eYM31zzLLdc2MHm6c0Mt5ayf/BVClo34jZvlu/ycoP02f9BSq8Z6dtUlChumdxJK2txcOQQM81ZXlj7Eqsml3cd+8Rtz/LoXU+yd+NBBOH46lN89Z6newOIu/6lU4tZdz6mImwUOesvrEbPs8lzqQ2vjuxl75JXWVws4Z7JB1jRWf0dq4//oUoPkXUhl4XDRLxLyzO0mkjaq7yupCr173h3rBsN3hvgpQVlElrsRT6x1yvuO4oa/UxEPFGqam4lyYqudI1N06S/tKujtk1spb/sZ3R2GYIwl7foL2Kmsw3n1/DCtlc5sOEo+zcd6XGPiZngHu7et4tFs0PcvX83j935FHfvv40ls4vZ1L+e5ze+xFw2S4goJd7/2YGzTGaXuGVyJ9tbtzKqV3AoexWj4uI3X1/WnIt1Nu89q97PQ2Kn5DoqGex6nKPeJyT9vP47NRMntH16/b2+23XN9mRpP6oeq3o/968lMWPS99PgofSeXmuk6XyH3xhddYGASNJRxK9+9YMveQ3E8Giv2OvY0aodMLGLg2dHBZRXyXdCx1G434vbT4hzkYXzu46ttMRgoCgPht/Ghy2n16WTe1HxPuqDRBS08hbPLH+a9bMbWXN5Ne28zcHRI5wYPU2r0UIyWDY9wq0nt7P+whoaZc6h9cetABeAWGg32lxeNEMUZuxvf/2uZ/jgk+8C4J1uQ+sLi8dZPrWMd+x7CyeGT7F3xYEgDCjRNE1OR7eZy+c4NHiALTNbGSlHGVUrOadOunqV0B5+ADqFqKvZKyChSdq62i+id0Ylz9O6Tv8kgnRa9+l541v2HF7fqJwjXpvvH2mAXLgOXbtGDwTOdR3vQTlPkqoAhDj3dlepHJN8R2u7AtdFsaLjcfhQ9no/S+srGT9vrrB3iJXhGiImHYo3DtQaT3U3ZFKCeFRxC7vPNMErIK5xxXsc0s6QiYtFCV3OnsQ4IAHrjq23h1/olLISrSqdLd5bzDkSOp6G2XyOfQP72L/8AJ2GQRoSttVddWkFdx+Nmd9XTaxg1TwJjs+OXmD/lkNcXDJpR4xRdPoK/vjtj/C9X/uecNzyqWXh+fqLa1l/cS2PbXmcofYQu8/spL/s59iiY2y8XI05OZefCe5u74LHA7b2bE51mz4VkFBdCxarg5OwfF0UwRCvALGOf/WJJaTPTNrJL1JLBd9w7qS/1NmpuEzpMV9MLa8NuIVydkArrWykqWjEGFSWUDJjkEzHOJEQH5ACkgOPTDuQ0LF/ub9wXe59NG4Mqa469UsN3mRMRCGZdollVVJB3YMsfY9enaZ+ai+YV3gt8Y1Ega8sXkpm7ooXIXwpGRT1301Awy7Ei7NOBSAr90j1GPeeTXNn7O7vbiABXBqyesfxFaeZGZhl57GtAJxbdoHja07Rbto9OIYnl7Lt2Cbe/syDnFt2gX1bD1lXr8BtR66eRuCdh99aeV0HEIDlZhXn9al486krRLDMrq4nJUwidvRaXWR09wEd3w/n8e/73C3J5OOZVOV4X5xnLrSrC/ITAL/+xvcJH3pO9Tor11dLQyha2RSGDkzIlA1RQFe7jAhhHUsCIuEx0w5ktdvRzgKJZBq/stf+poo7CgSA6TV+ImDfiLIgQESIFWAyhcn91goxKXPasYwDGpMROkwFRJKx7t19XtuI9DYBCndsDBMmNrMIJncLsFIg0YQ1MZUBkgwOkobE32Nurz+CSRwc4D7zgydZBWx8+n93/pnBGS4NTrFobpDnb3uZqUWXuf/lO1k5vpyV41F83XPrKzx177O8/RsPVT47sOkws/2zAJxccYbRSyP0t7szys9Xnlz+BPeN3U+pCsabY9E76SvBm1XGVUYvz2fSbnXwtPUV27sCqjrWg+8fvn7ixCLVgVLpH9bOjeuuEpZiYtyKZHGyCMmwcCkKMlVJ+GMyt+DSjShxxxjRYacCX5QSxK8I9pqIX6rsS2qmqBQ47KPJ3fMsYSIOYMSPIde/fL5VW6eqwvBvRFkQIILC5kfIVbUiXAdKK6E+yFLbtxeI+MeKyId9rVHuMXaiFEjAgYmy6w9C+LMDEOUbL4kZidegAjWOjeyvP95bHASEY1Lg7H5tfyg3Oe1mhxUXl9EsGpxZdY72/jbN2p62t7/avSE3wPajW8LzdedXc2Lladafu3oawfCd2fU0pEFDGtw//TAH+vZyrnk6Wfah4vam88V2JCZHT1ZWq6N6vcRjYs5dXB1FhpoARNo/JG4WX1GP6yHirvOIEFYQiw9ArT2aJIBPZSTpCxL7C/sboYsGAEnMYyBNBVBhITph7bljIrk9m6kBSABfP/GS1O93EkSUUr8FfC9wTkRud+8tA/4LsBk4Avx5EZlQNr72/w98BJgBfkZEnr3qVSiFafiKsQPK5FUmYvI4ECudKel0PemZZyOaari0cgGlJXYhnJKwwMovx7cHil3JqdxaHmfj2xDnxOSp3I97O7VR/bW7mSE0dO7uNU+Bxt+//0wCgEgOyy+O8ODeu8PPfeDxd161iq9WXguAAGyY3lB5rbQOzIlkfUsaMdm11yyEzhxmRp0CajII8qTN83RSEaqAK8G0CcI27jV04UMaWOgFUHFtrpPjUpNYck8cPItwXxYJIqlpJAvijD+Xp5uJyWJMABBvRgVNJJgzKrCRCohkceL19VUBkBqQ2HqoAsmNKNeCRb8N1LcZ+yXgERHZATziXgN8GNjh/n4W+NUbc5k3S1oKl1RntjnHxUWT39HfPrDsMKcWne56/0Lj7Hf0Om6WhVOuykRE5DGl1Oba2x8D3u2e/w7wKPD33Pu/KzYm90ml1LBSao2IdPe6WjGZsvvOOrPGuG0V7J+KtqbftCcxZa4mrPqZRKkojvlNfnSYORXGuXbtUn13mIosRLuFc+L2/62HdVd/mCisBnquUCpjjdqIlgxjhFP6JK28Hbwulnm4+8vtzGoyx0YcK5kYucQfv/MRyISGyfjgV97Ts0737XqFW17uNmfajTaXF19m2fiyq7RKtZwYOU2fabL28hqmG9MMdYbCZ2+ZfDsvLnmBS/mEqy/iepKgHVUbqKJlpSJlSr3T9k7+jE+PmJh5oU+4fZorU6TXaHqZukmfCPszexOWmMMmPYzEVBERtw7OJUiyPwh4NqKxW72KXUdXSjBd7Gphz2aSjpQuGEy9MI6NGG/OVFi6N/1rj11MREUt8QaU16uJrEqA4QzgQx/XAceT406497pARCn1s1i2ws//7V9E8oEIILnCNKoAYhIQ6TJlgrjaPZrTtRceOOzvW0Ax7tGmHPBZxQQfuBnedytNld9600Tqeu0gAktYyrpyswWuEi72X2I2H4/358w5e88ROOKj+7FMWDQ7yOLZQY5uOsqGYxs4v/ocq07HREG9AARsftbXCiAA6yesyTPbmOXZ9S/wjsMPVz6/Y/JOHlv5FbRSYdsCr4f01EUqmkhi/qUdPtGMQtvnUjvG7zkrwZyJcRoVxbfaR7zgG1b6+v4kcb+dik6WAoM/hz1IIy7NSYpSyfFeJ1XaxRg5ECx9HUn9a9GsCZ5IByC5N2uiUA8peNS0JB2PqXs0b0S5bmFVRET13DXqqt/7deDXAX7hF39ZyqZlImWjykBMo24Dp7OPs3WvKKw60dMvUfcBYj4XhHIah3LrnjTWt+/zQqQgUwcQgYycxTJc6ZuW0Wg6tMh1kyYDXNQXmMvm7KzkWM7hwUOMDY4H9gGRiZhcoh6SAEizbLD5xHrWnF/J4mm7hubQ9oNo0RUA+XaWgc5ABUDODZ5nSWsxk80pe+1ulPn6qushvlSCx3T1D2rt7EDC5LWZNXPA6vuCZyCZRa7+thWaW80W9W4a9zXyfcKxglLVggttAqmQopNqaiB3MwmQ4L5sEUGUTeKkFZRauYxofjIgpp2oa0YqPvf9MngmA5CkIJJoIXlad6q7Tmta7/WU1wsiZ72ZopRaA5xz758EUsVtvXvvikU0VQBp4EwbAgtJ1XivyAdUDQ3e6+RuJswIsyM4iq0VlO59x2is0ErwvFgAkSio+oQ1jqavNGvZaLbNj+qup42wnJf6n2PAmQCCcHzx8cC4MnJAKPPSbmKuoSE5c41OyKVKbth+ZCNbkwxlAFsPbLtaFb/ucnLFGfZtPkSz3WTppcXcfqR7+4o9a14OwGiXvRNyjsRl/NFzYQ+0D8GU6SWs1gAkCqtSBZEsAY7MmQraPj7wjXsYujzEC/c8z/m1Vd1GnCDu92RRgt24S2P7RZicqkzEJ/npApIEaErc4FeCTgK+dOFYrhv4YUIyda8QIQzeM1rPRtIQiJ6ey8DceoRI1J0RN6C8XhD5Q+CngV9xj59J3v9bSqnfA94CXLoWPQRFN4A0klk5I9FEJFZMQj97RazaL0QqrfymPnhW4sHBgkkwbXRix2tqyYPiAFECZ+QUw61RlsgwZ7NT5NJg1HRHju4dfJmyoZhW09AChWK0WE5WNFgxs4KR2WHGhsb51pYX6S8GuO3UDlZMLuMr9z7JVP9lyAWVG/bv2sfUyCXWnFnN8nPL0W7Endt6hLGtR9HasPGpexi4OHwt7XjVsu78atad781wDqw6zOHlx7DZy92g8OzOayEBRLg2EFG1CUNLzZyJzAMgNxm6VLT6WqhMUJmxbaaEZpGx9NJSiqzg3mfu49Ct+zi8a2/8bee6NYGdakQbt1Ohc586kcyo6LHTyuV0Vbj8ruk9JUCTMBlRyuoh2jM0N5mVLldOahrXGHU9aMwzi1T3CPXVyy2eMrcErL9jmohS6pNYEXW5UuoE8L9iweP3lVJ/GTgK/Hl3+Gex7t0DWBfvX7yWixBF1EA8gDQiA/H0HtJKSaITE5Om++R+NlQBBMDOPsp4wJAIFskggCqoBHqeZLQylLycv8iu2TtYVa5FECaziywph7nQOIdRwvL2CvKsyWyjU5m5do/ZsPVW1kajmO6fYdu5LWw5vyHoLU3TgIYFEJ0bVGY4u/kEY9uP0iw1q06uYc2hzax0f9+Osnf7AUYmhlk5FoPYTi07y7rxNWw/u4WX1+3jxPApV1+qwtqqeTeSk6YgUhdXs3pbp5OHAxEnTN62dyerL6zgpV2vcGb9aXRmUFrQWljuNj3f8/ZvsOrYera+egtLLy3h1Ye+SdnsOC0zbicqYuxG5kZhNBitEKUr2g3YyUbjk4cnqTuT/qcCkpIAiGUllUxwma2Eq26j6TU2Dx7BlKmz9B6beacmYjJmRAHFNXaCK5Rr8c782DwffU+PYwX4udd8FYqKCVNhIU4PqKKtj06UKojMexPg14wEJuJE1rCht8YmitbKpmX09FwRXldZSFxzYTDsabzIsvYok41LtLM2bx17B6OdFfiFefdcur/rsi43p3lx3SssaS9m98mdbBxfhxbN8RWnObf8Ave9cgcPP3cfz9z3LBfWniXLS/Lc/mgjKxm5tISNL+/k6LseZ+PjD9I/Mfyaq/5ays4D2zm34jzP7d7D3S/dDsDa8ZhG4NxwFIZtHdb1EKqiam22jYMk8bCQTBY+/iM8StiG49C2wyyeHeKe5+/i7LlV7Lv3BYq+ObQ2LB9bRpkVzK4+y+Uih8ObGD29mrd96qOcuONlzm89yuzgTPAGlUajtbjNza2uZZRg3EySam5rz69h+8nNHF92khPDJwMz8SUu5gStbYSqdgPfpk705kwPgK2chEocTWXZRGK2QMpE6gCc1mmUAfhOgch3olgmkjCQDCeoin30nQfnpUldeIGFCHUaGBrGaRiS0kaXeFc8QJQuwjJziYZTTcTUKHqt4ZWAEcO55vnw+/uW7mOwHAQFQ51FjM5VvSHtrM0zW5+j1ddh2+EtAFwemGbP1n2Mj16sZHC/88XdPLHqAjLQpuFiRJpZyabnd9N3eRG3/MkHEG0o++fI5q5vc9WxrUcY7cFoVp5fwcrzK5genGFoZrDy2btfspniD60+yr41hx1lrwra8/nfU+9MKrBCMlkE3UOsWefMFoDZ/imeftfX2XJwC1tf3smyL7ybQ/c9x+TGkyw7vZrplRfo6+/QX1S7+voXd7H+xV32njcfw+QFs4svc+K2/RRlhtZCqYVSaevF04J07IUNzA5x52Gb3HrnmW3sPGM1qZdWvcqZIau7aHdfStkXynuLDIGN2JtMdJGkVBYPJosT/VKPlI1064U1APGsnZopowVmu5vltZYFASKRiZAwEUEaXg+RSHHzBDxcx1I1EPEqvCR2phjHSb1rTSsLLn6fD+0BxYGJ9+P7WbVG0esgUqfqp5tnAw1OI2rfefitNEyDr9z6JGXDIJlwevlZzq44z/FVpzENA7lh/dmoQzTbfex6YTcH3/kkeV6CwMpj61l0LmovyujrBhCgJ4CkpQ4gadl6ZhMjU8M8u/1F2o0ipoD0TLBePIBA1wI68CBSE01zg84E7RakZLkhywynd+/j8qYT7PjGfex84kF4wp7j3ENPM1hqhqbnv+7RI3ZR4fTK81y48xU6WihKTaE1WmuKTsbwxWWsPbqeTcc3zHue3WdvpbGiwS3nt3F+cIw9K/ZYwb6wk5K4vWkqydq9qd2jD6XMp+q9Ul1Mw9ZXPaYmCf9P6zRhfjeiLAwQ+R+kLG4tpmEa7F95CJOsyjq54myM/wCWjy9jw6l1le+uOLGOvi++k0arSXN6iKz4zjTd5LJxliQxJVOLp+if7adRNHoePzK9lO95/u0UuuCLd3ztO3KNvswuneKlD3yZ2//svQyN2Wve+IX3XPP3h85VBfGs3WD14Q1s2LedwXnAc/+6I+w4uTm8vuW8ZSX9RbPn8W/GsiBApCqsgmlId7BV5v3qbkbyLET7KNM4COtMJLjxPCPxr0vLRgJSG8Kych9sFKi5ZylpFGbKRPwP1QXDdBYwQqlKtp/bwmBnkD1b9jLYGWDZxWFmBmY5N3qBgaKPh751X896youMzsglVGbIxkcAuPjhP2Nw3w6aB7e+7vq/UllSC0o7v/Y0xmgarSaLphaxbGIk6D71IjmIW8DWK5IoBAimZkwSaRpMGNfeKjdoLejMsg+APC/JtSHPDI2sJEPIym7/5dyaM0zd/QKddaeQrGTNb/0kutM90O/9nR95TfWTAogvp4bP8NLqveiO10YSgd7rImmowTzeq24mkixS7CWa+vVWvRYkBre5hDVFby4moqoAEsTUBjFGwoNIbmyHcgq80sblbLkCiHg3nqiwb6n4jZEdmIhPX+XdcK5h/N6sfm+UCCJxYEgPEImmTBwUF/umeOy2b/Cel9/KuonVrJuouk4vLZrk0vAkAJNLL7Hk0tLw2eH3PkZr6zH6VMmyJx6gf3yEmQefJt96iObnPnidDXDtZcveag6SycVTjI1MMLb0IqsuLGf96TU8+sATzPa1CBtk+xWz9RK8HolAromonEwY3oTx5kvmmFwzL8mzkoa2INIoFXmRM7f2FK3th2hvO4wZnEUrQSP0Adlsf08AuRHlye3PcnHRpBPmXTazCoh4szgKq9ENHispDTbrFYxXidr2AJFLFVy8OZNFl7ikGmI31r6usjBAhCsASG6CmAaE2UhpQ+Y6Vlhy7lP5uXOGse3ceKk7z5TauvA8mGjtAoyiRgIW/eOubi6c24m0824pUHdbenaiCXEdAKdWnOXc6AXGRyfYcGYNOw5uQzLDxZEJhidGKvWz5UvvhC9V62zwqQfgqQdeZ42/vnL4vuc5vv0IRZFRltq6REuFlJpLoxOsO7ua245s59A6u8+NZG7p9LwgIqG+UF7nch9ndsJI2UfKPMB6qZpZSVOXZNrQbJSc/6lP0tQlWgkDuoR2g/z0qkoKU+mbQ7Xm15Bm1p6mMzjL9NJJ1n7z7spnxqmiF5aPcWrlWc6OXKCjSlShUG7bUb8/sJXeFKqgFv3s7jERnyVhdNXcN0QPTco+gofGTZo9XOJBlPbn8uwu0f2utywIEBFVNV1MA6Rh7A3nPkbC3rDWJnQorQWthEwbu7ipB6u2m4tZoChFYdyiGONceQFMtNgAo1LFaEUI6ygCmBhCjEnIzdnrnqCqggsMdgaQXHjijmd5+MV7WXt+FSYvOb35BM2TFlz6Ok0mRyegBiJpKdaeIj+19nXV9fWWrd+8G20051efsyBiFFP9cxhl6OgWJ9eeZuOJ9aw5v4p23mZ8+BInV57m9PLzvSvKg4hjIUoLA+0m7WYLySW0d55b9pFnJY3M0HReqkZW0tAeSAqauiTXJQ1lyHVJpgT11MPob/Y2Eetl5n2PMLfxBJxezbLPfZClQGvJJCfveIUzG06CFopOTtFq0kEoC40pNHR0BSdtQLTfrF3QSoX1UqITEEnNGeg2iaFq7qVAkgReQv29RJT2TgiIEsDVwiJeQ1kQIILCemISBlIHEO06TZZJoLP2LwWRbmQ14hiIKLSxK3XBrmEwRtsFm0Zh0HaGUW61pF+AVVo7VLnweHHRhpI0vA9mi/cjFSbS3+njnn27Gbm8lHpZf3otfWXOngefZWbpFKtPrWHl8SsDxBsFIO3FUzSnFrP5W3eyOXl//+2vcHTTUW55ZScbTqzj4tJLnFh7ipXnVrD6gv0DuDw4zUz/LLP9c8wM2MfpoRlMVrL12CY2nKyKyZ//+J/Yts5MYB95VtKXlcHV3dCWhTQzCyB9uqiASEOVmFteoX2NIDLwtbeifvDTZAe2YvpnOfvhLzI1comWZDTLyCJFC6aTO5PZRDM5OZeV2KxZYtdTqcBEYjRq4sFKS8qaEn0tXTPWFY3ayyWeLgWAGMeTMPfrLQsGREJou6+AGoD4IKu0QwUgcQDSq1I8gBhRlFpROkHLA4pSLrhICarUGKVt2jsnirg+EpiFD1Kzqz/Tlk5+O7H1V04s564Dt6FEsWfbXtp97TDrLp4ZZMeB7aw4t5KtB7ZyePdexm47wKJOzvDYMjY/+rZvQ2W//jK36TjmzCr6XSSoLzv23MaOPXHF8PClpQxfWsoTDz1ZiXJdNDPEopkhrlaMMnzz7U+Q52WlvRtO++jLihgvo4vAQvoqIOL+dAmbDjF+ld/se+tjqF2vMPdffoz+3/9hVNGgdftL6LWn6SsbUFT7lohC8tI1e4aIQdABRfzRBmKCIyUu/UQt6DFlIulvBDacmMYpeNRF0zQgLxWk3VIAcOChnSTwZmIi1taTGNLsxNMUQPLcdpqKEu9MmVwbUjKZgomIwuBAxGiKhImUbpPuQmmUJx+li1AMjnxr76Mkru50sSNB3e7RAZQodh7bxraTm7i4aJJnd+1hZtGMpZOuYc9lwrHb9nHbnt1sevUWRi6McvitT2NGLjE3cgkWGIgs2bPrNR1f9Nt9hM+sOsvEyER4f/2JdSy+vLhy7P5b93Js2xGkrxM8L75tfXt77aORlfS7PYqbuqQvKxyIFDSUBZKGAxLfLwbveJaZF+8FYPF9T7D4rV/h9K//z4jTRVqPv5Ml2/aT/egnmP4NG3StR8bD79RLFO1VWMhnTeeoVlZZiQpLaYyKyy9iIGQVSLo1kWrMR1c0L9AVU5OlTgj7g9o5JLT2k+71q6sLAkQgikEBQXNj1XhnvuSuEtIZKdOGXNlHfQVzxv+lbEUbHY5XSpLoXwsg4irXkg0T1XK/OlWRKLfd9/O2b93P8OUltPM2j9//NMbflxaGpxazc98OLqw+y5kdhznw4LeYXnOWLc/czR1/8j7O3vc8aunk66rHgZFz5M05ps5uvObvrHrgUc4+/e7X9XtXKu949B0ArD67irGVFzi2+RgAYysvcOdzd7JkcglgAeTIbfvRWoJ5Cg5E5gGQpssalQJIXwIkloUUZK5xLiescXrP3Sx/4Ksse+hRpvbeTvvMegAmP/GX6bvzW2RrTlKeXkf+1AP03fYqpq+wfciFlxsUhdGYTFEaE9IlksekRMHEzTxJTcSOBCBiJnwLREpSLcSdK7CQKK6ia9oH9ASQ1AkBTlN0WqJ+s4HIm62cWzbG8OUlnBsdswACILDlyEZ27bUh08svLGfLgW3se/BZxrYcZ3LVeXZ+/UHWPHVt9nuvMjux8jV/p7n4EgDb//qvcODf/dJVjn59ZfeLu1l+bjkTyyY4svUIX3/n11l1ZhXLL4xydOvhb8tv+lLODHL51TvoW32S1pl1mNYAxz7x19nwk7/G8Du+zPlHPsLkE+8CoPXCPeF7qtWPmhiG1Re+rdf33V4WBogoomvP23GpW6/m0vMxAZlypowScr9iDiqMxLIQTSEaLRLobaEEygyyEutEj98HTenMGY22z1IvpWckgYl0G5f7th5k3blVwW3Z6OTc9eJuVp9fyfTgNENOG+ib6+eOx97KkYeeoWx06JuaXzPINx9CzfXRObOu67O+xRNsf+cf8dKf/NS835+vHP/SxwC+bQDiy+DMIKvOrmLNqTXsufd5Lqw/zdiGUyhlWYefIXMvomsJ7Z27Nm/qgtzpIkBPFtKvO8w+8yAXnn4rQ9v2cvEZaxa2knqTMufEJ/4am3/q39I5uYFsaIrF9zzFxWQzL7X+GM3RC5S6CGwWoDCaRlZSiiLPSowoskwQE9f0iGgQiewCT12VE0r8j7i3XcLnSh9LvTSehThvS5cHBnqyEO28mN5E1F5D1KanN/P1lIUBIiSmjI42nA6PMbjI6yAeQHKnwl/ZnBG0GArJkg9w2BGBxIpjnn7alikr2TWxYGJcy4cAkNrvJh1k8fQith/ZxMbjG+hv9fHyrldYcnkRQ8eGuLh8jGEnUm5+0q7ybS2d5PiH/ojm0kus+u2fqJw265+BTu8ma02NsP/LH79SFb+mohpt5CoBWcXgDPkV1tKkpdQlT7/r64yeW86tz9/Bw4++ncO37ePozgOgq+76zDG3VPdq6NK1tbFA4kSFhjLRfHEA0lAlp776PZjZIS4+070BOoCZG8QAR373bzK4+QCzxzcx+vCjZIsmGfvTH2D4r/wb2ssmaZmcvGyQiyZ3ekczKylF09CGUmtybTBaoTOFuD6mtFskaqIHxmeEFw8k2LiRNJN81ZyxD9XoZwnemRBd7Zlu4r5VOgqofgwBAUAy3Xu8vJ6yMEDEo25aAcqKQLYT2Ucg6CApgNSF1QoTwSaUMaJiWHv8EKMVpszItAlJd0VLyHmpNSAuG5VrYLtLmorg0astFMwMzLJifJSlU9b2f/xtTzA0M8j6lzdweOd+jt39EqMXRrj9kXfF72UFuq9Nbrqnidart1+xGtszS674+dodz3LhxA7as4uveBxwVQA5/ZP/mbnBNlt+7Weuei6AzGTsfu4O9t/5MnvveYHVx9az7eVbWXlqNa8++C1mRy5VXPbgCKprZ63EtrWyM2lDl3BpCVknJ199KgipCgOTi1nz/s9w+nM/hOn0sWTbK+z4sV+lM76c1vnVzJxby/T5NcyeX8Pc+AoyZZdzd05sYMktLzP2pz9AZ9+tNB5+AqMUhcoolKFwwJWrkkxlwTtYKB2ESq+5LZoZQgrN5f5ZfDCiX0Ve2QQt6veVeanOfAOA1Dw1NvI0ggjOhauVJAASx49O6vjNBSIQg46cfpk2SsoydOU9E8KZ/evuogOL1ErQEs9j3HlybRCjw+8p1wDgVHjllmprAOums31gHj7o3n7q/m9yzwt3sPaMTXB817fuZGhmiInRMY7e/ioD0wPMjE4wu/QSAy7EvW98GWt//+PMPPQ0xbaD5Ae3XX/dunJq/7037FzLP/sBOotmaC+ZpDl5ZfDyZdWJdaw6UTXFFl8c5oHPv4cyKzi7/TAn7n0xBBZ6U1UpCUCi/fNzy+G//TBmboAZoLPlANPK0DmzFjNjc8/2LTtHa3wlU4d3cPH5B1h179dZuupE+G1v5rY7/Vx8+W4mX76bJfc8BcD0Y9/D0o1HMZMjqK2Hu/pg+pdpoTBCLopVJ9aw4ehGRsaX0ck7PPLWr1EoYwXUyibhnnp4Lw+h71dMGhyAqCR7X5qEKzF7whoy9xd2LkgdCipe/w2yZhYQiICtxDR8XVWBBJIGpA4uEUA86tri6IdQARqNCt/3sT++stPKVaHxJaYWcI0jobl7NIcDxRfueIlOX5tNRzcFHaTMC5adWcntT9yPKCErq82gTMbQ4w+9jgr8zpXG2HIaY/N/vud7vsLIiXWs27v9ms6XlTlr9+5g7d4dfOsnfz/Mrt2D16DOLUf9wQ9A3gEGAOgctr/TWHaeZXd/g0Vrj7Fk7WEO/te/wvTpjRz8o59k8ugOdn7vfyTva1Gi0MqQA6bRYtHGg1x8/kEuPv9guKZL//Evhef5ex8hcxGrumjQKBsYFK1GyeD4MOsPbGbVkQ00Ok2mhy5zcNshth3cypYTG9m/8bAb4R5AqJgqoffMo4mkr4MFHUAoOc71Oe9Kro8l/+j7+JuPidTKa4mm85WRvc5K6fVb8b2kJZV49LjGE9vEy2Oj42w6uim8vfzsKpafXdXzKzNrTzN46rXtRnejy9DGA0wfu7bBP1+pmGivsax+fjdn7tlTeS+A//nlND/1/dDowG2vwFNvoe/hr5LrktlnH6AzvoILj38PqT9leMcelm44wNEvfz+XT21i95/7NRatPkmZtO22H/oPTJ3ZSIGm0+7n1H/9mcrv51/6Hjzfmo93zQ7O8NwDzzK+fAxjMoamhth+ZDPtrMPR1VfNVx5pyNUowo2iEDeoLFgQkZrHw9RfJzVpvJFIFI8AyuQ7pkfNh1BlUV24kAYThUe/kKwXiPQiJaJotnN279mFUQZ9lRTbs6Pj9F2wS+/L4QnM7S/RWDwJn/vIFb93I8vuv/QveOm3/k7X+3rTYWT7AToaisuL6H+iuueMyQpaS6YYcGt+zuw4iOrkrDqyqetcVyrtgVku3HKwq4qNaPS5EYb+8KPQ6CAf+lP4zMfINh6l7x1fYSDrMPLwo7T37yQvNZkyZJRoBYs37WfR6FmWbDzAq//tr/Lsb/wD7vor/weDq09SOpHszOPv48wT72Pdx/8j/bv2sPjhrzD1xGsDwoGZQR54/CHOrj7DN+97jj27XuHOF27njv23svH0WiYHp9lQ26706PKTvLJhv32Rxh1dCSik9rziJazWnDfHr3SK6y03aDHwDShugIYIwMpzVQka84M/vMa/1hjRlOIW27nX1e/G93qdN2wjIIlumjym6QVIgQVig7rPROCW/Tvoa/fx+FufYHzZlYOvB8aWkbX77L00CvShrchTD8LQ5RtWzWlZsvJ45fXgypM9AQTAjC9D9u3E9LW6AARAlzmNmUEOP/QMAKv3b6N/alH4/PKSSTrNNq2+ua7vTo1cZG5wGoDm7ACtwbnYJkbRPL2SpV97iNHf/yH0XD/lynPw+Q+AKLIPfA5BUYqGZsHQ7S+w5J6nGb7nKUbv/Qaj9zxBc9kFSjRLNh/g3r/+y+QDM+z91F/EFJntJ2gyV8cnP/0TnPztn3vNAJKWVWdWs/PVW2j1tXn29heZ7Ztj6eUlXQACcGb4XOgzFYkj6Uuqx/PKxmkVIEk8xn4cUR1LUhtH11sWFhMRbJIgf6NGUSpNaaJiX7pI08JvuW6sAFeg4+ZCiSvXh7wbURQmo3BsoDAagw2F9+BRGvva/z7EPCRxoyOSVIvx0vNOzrozq1k5tpyLSy9xatVZphfNcGmJjTzdfmA7jU6D6cFpXrnnRbbu28ay891bS/jSuMJnN6pMnqum+ps51x1/kt/yCqqvRWkyyr230pjHDAPIW31seTImpF46FtfYLJpcwuFbDjCx8gK7n76bvmQZ/uJagunmpUXk7SbLjq9ldY9Q+/zgNsz645TvfhS99DIdydAiZGLQytBJ2r+pXCyy21xILZphy/d+kr2f/BscfeyjrHnP5yhFs/zhL3Pyix8HoHWqWi8yMo6aWDbvffcqoxdG2S7ClmMbaRYNLg1N0s4Lzo6cZ3zoIjON2RBvpFIQcKVCaMHlH3EqnFI2xt4KG+G7VvB32otbUKqU79ueL1iNMNOmEhl1PWVhgch3UVl/ag2LpxZRZiWLphex8sJycpMx0zfLyrHl7Dy0nclFU7yycx9jy8ZZnQy++7++8ETTwdEzzF4cRcoGjeExOhctABT7bmPw4/8VGZzDvHTHNZ/vxC0HWL+vqquYrGR85QUO3P4Ku795z7zfvfMzVzffygefRjYdu+brScvIzhdZfuc3OP21DzI7turK+68sngwA0llxvgvcZ4Yv0u5rMzQ+TCNxi/tFiGeWn2PfxsNMDUyD31mgJCQlejOUhQEiQsiCJW6VrBi7VN9oCQwBvPIcI09DBu2rrp2x7rzCnad0zwvjzB+j7e85BhQ3NHJmjrsmMYr+mf6wdUJazi27wNO3P09f0WT1+ZXcemgbd7y0i4EeCZTPrDvF6pNXX9IvWYFKvDf9219l7sCtV/3etZTt7/oMB77yMQBmxlaT9c9Qlg1EFIN3fIuZF+1A74ytoLjCOti5pZPMLp5iJHHf1gHk6Xd8nYnRi2AU7bykzIqKVyoNvAN49V2PY4amYXAWNTRN3uzQzEr6OpoVf/D9ZF96D3M/+Z/IGtZtH5iIZ6i1kmEwCXVc96H/ztzUMNOnI+toLDtPZ7zGAKeijHrp7U8w+unvRTk2e+B9X+HCygu0y4xOkaGm+9n13B0MTQ8xNXSZAxuPMjkwbdlGEfebUSYJNkvNlFoJzkAXkKa88qpsnJJNxieRESvCGi9Rru8qZb2LgYh47VC/yVIBAMrl7cBIABBlJJg0nbA3rqD9aly/74tSIYIRqu5eIzoumBJnO2PNmU5pbeKizCxQeROq1BiXp9OIspm7jFvNa+BdTz7sftdwZvl55potRi+OsHJ8OUMzQ1wemubI2hNsOb6BoblBLoyMs3fbQd72TMxCdi0AYuul2kRzB28BYGDrXpZse4WzX/h45fO7fujfsfmurzJ+7Bb2P/b9nNk3/4zvAcSXcs5GnxaXllG8GOl7sXSScutRZv/2/03fJ38E1epjdnScxYc3c/Le5zm1ax9bvtKtkwAcvGU/h7cfpMxNSJ1wbtU5vvTBL7Li/ApWn1rD8NgIr9z7PGV/mwf/7D2c2LWXC2vOhvwhDaUQk9mJolEy9ZZnGP7T98PenXR2vYJGyDB0yKK+7gaNce2tlXHmjjN5+wo2/cSv0ZE8eGk6ktExOeNf+AitZ7rZ4sjn3h8A5Oh7v8rEmnOUReYmIEXRKPjmPc8DIIWGQln2Uaq4j3OpogkD3bsEuhJcwbjPtbPIkkgSe4yKTMrHLzlwMXbJMKnTwT61r99UqQAQV7kat8eGt+e0zfOR3Gwa72+0Isftk5p8oFUEAP9YOjHVM5rAQoymKB0bcen+TKlDBjQx2P1ZQ2JnmO2bo1E0+NO3fgWjDUoUa8+t4p59u22HKZVbnam4uHiSp+54jo2nu/WG11r0psMwMYKZHGb20E5mD9l9cQfXHsW0+3jg5/8RTVXSUjmnDtx1RQAJ52zMYTp1pmSg2YFFUzC+nPLoFma3HaNlcuYeeJbln/0gi12A2bpn72Lds3dVvt3qn+PQzv0c23zMbk0JruMmv6Dh9OpznFl9zuW4sAF+X/u+P7OBfqabTngAmNp0nKHRC/Q9/jCXtxyBgbh5SokGbbUso3SYUDIRByTOc5cAhweajmR0JCN775fJ3v1V2ianVeTIM/cz9PjDZHMD4Xdm+1t0SteHXJ+xaSJdP3RJwH1/CHsbuVXg1cxm3VtG+JS/9oUEIAESL4yPfXWs2X9sawubLCkjJC+BGJHNjfMULyAQ8ZF5KtAyoxRx01X70C5c3oZMkTlQyLR1n17JnBFRwXQBK9CWxrIQUwMQEYXx2d5LFTqEz/3wtbufsRKXo6ZLLi/inn12S8y3PX8fj939FLP9cwy2BhhsDbj8Ea+vyYqll8hdNGt5bFOYCX0Z2LqPuRMbGbnjGeZMA6M0bZUxcufT8OjHGd3xAks3HOTIYx/FJNsYrH7oEdZ+4NMoBS2Tc+GFBznzGbvZ4aKf/VXaSy7T/hd/D4C59zxKq2wwV+SVHLHzlb65fna+sJtja0/brTG8VyttHmX/WQBRIHYBm2SEJQfdlZHb5fgZjL/rcVZ+6ntpPvYOZt/35eCla2IXy/mERA23MFMjNrw9KaVjqV6ILUXTMjkdySyAlDmzphHW8qTl1s++j8d+5NMu16xyuWY1FK59ShVyrqqyZs6kmsg8wipEJiJus6uwL4/bejOG07vjBZsmQLx3RrvcxDo6CsJ6GvXmMmcUrpLTqDzlVs+GlXK2SBZdVpm2AJKJmjcCz4hPGBM9L0BgH8bNJGVpn1dMFwjsA6OCLWuTNdsZZvupzWw7tZFO1qFRNshNzjufe5BXNh4M19CYyzkzcp7d3PKa6mV2dJy+i9Em9wAiI+Ooy0PoRdPotScxh24hX3OK84d20z69lpmTm7j4imUhY/vvZGz/nTQWXWTTu/8bQxsP8spv/gLtssmM9IHYGTjf/RKjt/5vzE0N0x6cY9Y0Q60Xh7dCu8maL74HXXZ3mVb/HHknr2gcz939PAUChe5OH5lMg6J8vk+X51ZU2JNHRNm9ZUWFiSOwy9GLNO58iWXP38HstsPMbj5qvW1i17p0dElDEhBR84CIqBArUhhNyzToiA4gMlfkrHnyAWZXnmf/e79G8/IQt/7xB+zxpaYoNKbMkEIjznwBIoAUJEzEgkeaqBlJntdL3Uxx+xwbEbd+y7tuJdQXAUgcMItgJMlsJhlixDJo5U9+fWVBgAgCugCIO6zbvtINJMHXnSnn+rVgcvUcq1jACK5bHfSPIOJ6OuqZBwRKGoHENbpR7Dyxla3nbPIfnex1kpucO47sDK+/5+m38eqGCCrzlUtLL7E02SZiYKy3W9F7C8xE3//T3rvFXHZcZ2Lfqtqn702K3c27SPEiihJtybLskWKP4IwxY88AAeIgASbJvMxDAGOAGcxDgCBj5CVvmdc85CFGEGBeJhcEY8ROjLEHwcCJb2PLulmUxItINskmm928Nfv+n1218rAutar2/rvJ7qb9i/oLOP+5/Pvss6t21Vff+taqVbj8h78MOngN537/18AaY7JWtpc+hZf/r3/g7wsBV6owExk4Gdd4g+tHdnC1HMT20nFYUoK7fuc/uOF1H1wRjn/2W1/Go/e8hzfuewtn7z2Hnc12OduKSq4Z9gHo1pXJ9pZVTaxm8gFjr2smvPnlZ3H09CO469/+Es79p/8H6pFrCiIVEyfMlHHdV/s2MLFiADIru9qyvDYQuTZvsFMzLj5yBsdeexjbknH1Ux/gT/6T3wFdOoJ5zqglo84kADInz/buADITkgFICQASNJGOiUQ7w4EWntyZE5BY9UPmxkqg742h6GQrIQnJExd5jlXO8FTzt1n2DIgIE5Gs2A4kDMADw8LspN4T2S81ybYRuDETidtGAGjgYcJpSYPpIt8nt217ZZ0AnLnnTVyfrptgjgffvx93X10GRU91wk+ffnrx+ViOXrp5/lHWQRHNGr7B1gdWTvzq78ixkLaYPvccLhX53rZmXK8TrteNPmfUNx/CUQDnv/YNHLhwHHf/8ObX/42vfAvn7nkHRy8fxYNv3o+Hzt2PLz33BXzxuc/jnbvfwxv3nsPZk+ew3czd2o9D1w/h3/vuz2LnwBbvnHgX75x8F+/ffQH14BaM5IFTNVfJJBYCpU5//c/w1P/9d3D0j34R7//yH2LWpflTbekDAOC6rv6NpQUkmj4i4DFXed4pGdfLhDefeQGff/kxnPjhk3jtmRcwE2M+fA1lzqjb1AEIbRuIpAJnImkWIAEDSfeBlvvYg4qXoIm4PmLZzao9k5uAgI0N+MP2mpZ9K5StqElEtgL4DpQ9ASLEQNoCwkQYiRVIzN5T+w4AqjaapztMjJTaCtyxxAhYCxyT86Tmti1JwMOUcxNRgQYehdoeIXrTr6WreP3uMy6MnTtyHr/0o1+85XY4/enX8eTpxwAA1w5fxaGrTcj7/n/+r3D3+RNIxy7h6ItPdPlO+eTboEPXkI5dRH1OEiane95BfU9dpnkGfek7oKlo8F3CFc6YZ2EuWxYQMQq/UzMOaVzLuc++gnpgi52f+0vc9+2fwiPPtoTMY/n5b4oJdfnwFVQdFYUKMmecunACpy6cwBdffBovPfgqfviZl+zq8aXnvoBD1w9hO8148uXH8NTLT6BSxasPn8GzP/19cKYFKynKFO9+7kkQJ9z93FP44LFXUTdbHPvWF/HB1/8EO6fedRBZW+Xt0cw65Rt4zDVhWzO2JeP6nPHos58DE+Pdey5gO2c3Yeo2ySbfRcCDZkLahn4zA2lupoyBx0cFEYwgkgOY1Jb0uVZlJjYJKmNG2NAbiQBi2dHgkwQin4RCTHjy7cdvetwfPPPvcPnolZbaf2L8/LNfxMXjl/DcUy/ijUfO4Cvf+jKOXj6K64euuanwzP/yH2M+fFU27r7emy31H/xLHDh4Hfn949hREHEAAXDwmb8E0kejrQfOn8TOXR+gHpBExcfOnbohgMRy4dhFHxQfHNGQ/dBfLx2+4q8fOfcg7nv/JL73xHN45dOvI9eEExfvxtMvfRaPvf4IymbGc888t+tvxdD6R35PspJxKriQ11ZLffRy8sXHcd8rn8ErP/0DvH/vDZYt/wSXvQEixkRYBmPdqPuK1U3LLUkQaxwJ1SrbWib41g+7Rez4ehgNFgOggW3UC6fF/PrBBVeiDoLm7w+zx6GdQ/ibr31t8dOFCl791Bk8/t6jeOfIezhx5VO4/72TuHz1MC4fuYLLh6+hcsU3nvlLSW23Tbhw+Ar+4Ot/hE+/dT8ef/mxTm+YAjPpfuf3/h52akL60ROgPANB4Nz8h78Fevo5XOYDQJH2NLfmVqennTphWzN2asaOMpFT50/h6l0XcW074fi5U3j63/ytD3UrX3jkZTz/yMuuH/VrP4Ibfgsc2G7whdNPYWfawZXNNRy+dAjXDl3H+bvfw89pxrQnX34cP/jsi+CpuinLTDj5xgN48JVH8OZnXsPdZ/tQ/PNf+S4uHr2GaT7gJu60iyZiQYgA1HuXPIYov30PHv2zr+C9+87jxad+hLJVL05JqFv1xJiAuiVhHRpln0wPmdExEe9b7uLlThMh7hkIoKxDA8Y6cyarlWIhIBasmWVfJDd3CgGqM0niIt2p4A4FiuwJEGnmjMfSAcxisrDm8dCGYm00Lhlsm/JYHoWYYwHwGyPfJ/1uAxEUEaEcPMz9Zv58DObM6OPX899zuYmhAPAX938TT7z/ON48/hbOHn8LL514GfdeOom7rh3H599skZwMxtUD13D58FV86tJdmErGC595WbZnPHUeZx55A3dfOopf/Le/tGvbzUcuI595GKCK61/8Hsrf+AvkYxcx/fEvgC4ex84Tp5GLMJeoAZiICEAS8yh4GI3fOXwNd735AL7wO7+KncPLRXO7lfeOXhBqP+hHSxcmYbMzoaSCQ9uD+OpzPwMA7uWycvnQFaRrGZ8+/zDeuv8ctkdlcd5PWzrJg9cX0a5nvvACpnkjyYxsqwRMC3M3bicCiNsfl47gnheeQC0Jp155FPNmi+/+3LdURFVTeJslkGxuJowDhm2juQ3AMUcQ4V29M2OwWZceMWwZwUU2BecCUNgBr1b5jKemlbBuWM+6UEY0EgiAfJK20QQDeQeWkEnR1RiIoGu1KzUbL7PuTsee6Wl1DUScBTWwR87TtI8RKAxIALT3FR0DsedD8yE8824LQ//zU3+Gq3QV3z3xXVHSt3Lj3zn4Dv6/R/4IEzY4XA7LYz6ER959CPdeaF6Yz51+Ap87/cSHbrp3nnkeH/zsX3ru0USMqRwEvvZNSdxUDnoO6hoGjS1IBICdKlGXOwYgJePbf/sPcM8rn8Fnnn0aJ8JM/4Onn8MrD72OAvZozLRN+JVvfB2JE94/+AHSDnW2fhsw/Q26Ttfw/z71J9iUDY7uHMWxnSM4ev0oPvN2C8y7ePgy7rpwHF/64TMozz+N0w+/jp1DO/7/h04/2p3z7YffwLEXnmjZu4ixc/QKrtz3NmgqLWK1C0RsIHLqlUfw6W/LGqF52uJbX/0LXMlVBVQVFmYCKQtJWzgDETCRQ5JrIspKDDxCXwLMO8ONscWmchChbjNvJJbN3nITUqUyqpdU/Z8lc04NaNiCOj+ZTCS4p/RBTIKuEzuD8L1HMw3U7AY/YOeLXhebJYO5snDDYQkgkY0c3zmOL38gKQcv5Yv47l3fRq3VWVXMhwkANQM1bXFx2uKDgx+AM3DfB6dwoBxARcV7xy7g5KV7bthWZx99HSffvM8Xe937zS/h/FMvYXvkGraa97PLBDZQgBstAZDnhLlkzCXh9QfP4tV7z+HBMw/hyec/C6qEHz38moKHUnndX/b8Xe9iKhO4VhlAq+ZMvOn6h4CSZnxw4AIuHHofnIAX7n8Jf+dZ3bPmvXvxwHuyniXXjCde+8wN2+fUmYdwamVJQZm2uPDAObz/8FlceOgsdo5e7Vz/gDC1c/e+iycBPP/MD/DSE6+ImLujpkuMAenYhwCIAYYcg/a/mQdzhgcQASxirDdntM8ndjcvJwEHKgIQBiZAYyXVgKQEMDEmogmeRVi9YVN+6LInQAQVSDtA5+c2z4wq0JhME2l0Do7M5CbNoigL6TwrCCDiAELrM0VQ1RuQyMzxwNUHAABvbF7D6YM/Am2D216ZESdyEJEbb3WSG/vNh76De6+ewn0X78WJS/eAwXjv2AWcuPQpfP/xF3Dt0DV85QdfxAfHLuJPv/6nOHL9AB54VTZbunrsEk5/6fvYuXoYdSOZ0SfdlxhYX5ToW4oO0bsGHsWC72ZdkDgTXr//LF47cQ60TcBWw7hjNGYFvvfgDwAAeUeBZTT71mZatHYCtQGSb5K8ycrOtMWZB97Eve+exLErR/HuiXfxwtMv4NqxyyFRMXD0wnGcPHsfTr55P07oIsHLd32Adx58C+88cB5XD13V6yRc3uzgwt0XcN+ZB/HCo6/2a2BCDEjaSj0NPJx16AQin7FrImkGkpsyI4jwirkHbzBOFEAE7p2pmRQ4lF0poKyCSfDOtM3BP0HmDDGQd2StCTGrWSMsBBtpCApMpGZWcUlXMiZgkZPSyggi9pve0Xvw6NxwiJoI90yEgdfSj/D6wZdRsBUQ9ArFgdHca9IB+ptcpxlvHjmLN+46i02ZQCnh6pHr+PoPv4p73zmJez8QU+euS8fxq//6V7qqHb50DJ//Y8kJ+s7Db+BHX/sL7By53tJFhqzp1l1a7pTkbtKia4hi5G6dNW4mhHGjUHNZdq5LBQ5rV9b2iybNLv2Vw/0z2/3+S7LNwzcf+i4+++7jOH7tGL7z6Pdx5dBVlE3BpaNXMdWMmiq2B2ekJ17AgXIA145c031nw6bVqeKDU9dx9t63QV98FkcvHsOpt+7DybfuxaeffxKPPvdUdz0X7rqANx44iy88/zSOvncXLh26Iqatmi4APAYkbQm0hb42RiLHJAUQM2UcRKwvWXsxt9D3oV1i7lQm6jbw5kQg3UazdkyEV8EEsQ9am4cJ7nbKHgMRBCbCPvirbVMIEY9SJfE06MY90uCNntn9cExZsc8NPGzGjOBhgwMI4DGaNcwAzxIcuELVu9m1A5FAQScFyEnqVTCjJmFl7x55Hw9e2D0B0FhOnnkIJ//VQ3jpS8/ijWeel8sYkvQussQpiEjofwj7t8C7tTDush5EtWb+OXsb22e1ndrj5BUx6b7yxpf80C+/+lP4g8/9Ma5NO6AtMOdZzr+VaMxreQfY0kJwJ1uYSdJFLhy+hguPvYofPfYq0jbjxDsnsNkRIfeR1z6NI1eO4NX7zuKpF5/EUy89jm9/9vvOvHxiUR3ExdOtsRB2c0Y+4wYixcCksRFp/MBKwpohjv2Z1CwppAIroU7GbEnXx6ABygT1Ygprp9yYiAGRtTl2D3L+0GVPgAiYA4gIC7GBWm29il4pVVWhE5AtfYDO+H66wEgMmJbmDHzGbGzDHuwdxoElshEHpWbHLqqkwBaZSM0UFHU5V52o27wIEPPt/UMX8Mh7D+Hiocs4fm33SNbf/bu/j/vePYEvPPsFHL1yFE9896dQS8Lpz7+oAXhdMy+D72CBdy1yF7N4sww4AHTsw7wQnZ1vA6wDXO5DvHeZbaPZxwk4c/g1XEmXwATcvb0bJ6+dxMUDFzGzMD7O7dqTionIKrinXnDv3KWhPZiBAsZb97zrOtmJ8ydx4r178Lf+3S8gccJD5+/Hcw/+CDtp6/UGmoBqDERYCDuYAJGJsD+kDWsziSF9Cmx9PzRQXOJPsszDJiTOulI8K5jo9ddK2ubUzJnMro0AwbSxyfeTAiJUgbSjDehCHClz0MEWzBmjaZGaUUDurkR7vGMiQ4eP4LEwZ7gBSRgYPpugnRcISB9mWDuXDQALS7acKQjXVTfA2wfP4/lTB/DGybN44OL9uOfyp3D9wHU8er55Li4fuoK6JZy951289e//IQ5fO4jPP/c5nL/nPWx3pvXYGQeRFum4GrU7N+0DiN4GM2d6AInmjNH2uEJ1wUbiLKv2uVH1K+kSrhy4BM7AuUNv4cKBB/DaXa8LA6gkE4qFcQeN7IaCO4k3omsN62daTt9/BlybLrfNMwqXzgPjdXT2oUAR2AgQQGTL0q+2VduFQTP79VOpSwDxNrI+r2tzkgLJRMpGGpgAwmjj+KDcwATF9BV7fNKE1f2yKDUxXj3xOurEOH3v63j5gdfBE+Otk2/jb/zwZwAAR68d6TrCtSPX8J2f+85e21HgtspO3sGrx19twuDHWC4cv4jvHXm+rZUy063e/Ls/yWVvgAgz8vUK4tQH4bBFrMKR2tYKeNSeK829GWOlmwlH/3xgIPbaZtdkmdSCGWPqurOQXWg6gBYgpIIYgEWAEE3iYnSvlFWTIYKyzpSyl7CYIscuN9Pm7InzwDYBlcFFYmdIfxeAMpF4UQgJp0P07hC1S4N4CmibzNQxENdD5rG9WvtGxra7ORPiINR1CcBpuAuEqo1xBTBpe1X0EZrmAVPK3pgIwTJ+ybUEAW302HXxQn29AbiA6jqIvs5bMVsAYyesZg4jlQqaWZhHYbHJ0cwZqMDqxQLCICybMwEpuTbCOYFsLdGU9PpZ2Ima/P5cQh/0MTP0jdsoewREgLRjIoQ2CAPQyNW4LYMLRpV6AAkz1VITiR1aP48aR/DMRBHMjnPXnNF0Forqg8LBREADdulREAMkSCjcZKfTDBfVatBw6kavWYGkMrDZabfsm099DzSrpqIrNTmACJM3ZGsYAylLsgRrFxGrI4gkBRKgBw13aRbVAgZzJpp9YxxEV8zuJ+5odjUzK/X3G2yggdAfbGLhZuJq36CEQRNBG5jh3vnEFZY0xJihWG+geWLylv25CasKIvo6bStoW1VUrcBcQbW6eUG1KoAwRk3E0/jJxtRArkBKYqZMLFu/TqG9JvKAMxPrqYpZ19q0Hzd3ouwJECHmACJA9Ds1t6+JgNZx2DudaCKtw1B3bgxMJMyYkX3UGBDEbWaNTKUqeFR59DkLht+22aPoikmIiOpC4Ca6s1sEpbGuCrKtf8NSAODlU6fxwPsSfEXbxiB8pWaCe1R8xz4rPnBMbzImguDqpn4GjrOv6yL2f+4GmbRrrx/1Yd09kPTCqt3L5q0wQOEKZWMhQtNAxIBFGWrNmrBH15u07GB2W3pQjSk1XDCv6raO4epDIFkHIKqL5B3VOwDRQBxEijCQWR7iinM1VNspgAhR98yJQCkBOYGUjaBk0MSoNSEZc6sCMHUSlknG3lK71xzD5z9JEauoDNpWpESh06fW6Y2RALBNoWxGsmg+z3Sth8ux+pajGKqfdQzEAKT58W1G8eCgmTsQ8V2B9PwIIisSSQcu2gFM+DL6yUk8T5tmWjQgahfvQAIFEv3ZP33sG6hZZj8RSGVRovj9ucUE0OKUAsYOqOQnj5G6EUAMHFIAjy4KMwRRAQGQHXTtd5dMpHfvNk8Wu4jOfr+FhbCbt+aM8yURWqdUxctT1bRz8KjWDgOo2gRj7TDGDcVgMRdN0TOQACBpKx0sKwNJW2UfpYC2BSgVNBc0asANUEYmYqwpKROZCTxlUE06eVSkmsA5aVtwM3M2SeOrWEFFf0JjTAS4V9jhLZS9ASIMaWD1siRA73WCR0oF/aGyzlI60TZNJN4EtA4STBpfoxc6e2QfzjxKs20jiKDyUlFfsWdJO4GsbzBzhpA4gbnq4kIAvtYsIt/uQNJ+gjxnh+V+pWR5Itp1xLaQU65H7/Yubp2Fa3RZos3MYyBVMP8cRGYDV+xqzhh7JDdpdBY1c0zB1bQhOQW7qxqQvpCgg8OwPTUw4c60Gy7A+4eBfD+5LHSfIaQ9unANQLKCiAEIbYuAyHYGijASRBCpFVxrPwkBQCLpQ9ZQKYkpw2rGVAZq6vqerzvTvmXpJBM3MHV1IHgNb7fsERBhaeQEyWxGcoOkgyVTSQBAkhaBZCZmNWVUZPWht4smInQ1mDOd+1Y7voGJMZHK6ttvz6aJdCAiF6fmBNpMUpWKQm6qDwCW1I+epL4TABVIdHBVkJvIq0CSFSdskaHNMDUACtCB6rj3SacDBADxgeMmzi6RmM5YmqnnzC1MAl0h03DEZQkTkD1Tl3zPwMQAVcYNhzbQ85tWEh8K4F3+XusXes96JhIAxEA1MC+pYwOP5MJpAxMAYraYBmIAMhcBkFIEOACgFDRNJNxdSm4GgwjIWfoRszIRBnMeb6/meJe/QGrtlVu9Per1FpOHj+W2QISIXgFwETJsZmb+eSI6AeB/A/AYgFcA/H1mfu/GZ2Jt5ASkKvSNJHMZEkMnFftRz37mqjzJTMqhze20QACPwZxZmC/22SxqOgD36Se1ZV1Zr4GiR3s2AAgTgbhFrLpHAEmyx2oy6sa8DDgFNCg1LEqCRz0roQAkNmgIWIhDNkqMhRiYdKbdMvy/i/8IAynG1Lgp6ObfUj/a3ZzRZQsGfJk688K0IJs4jJkBsR24AUm45+EErS0GTF2YMwFMOwAJK3ABeR//T9pnaK7CNCBMhLZlCSDzDJ7nYMJUcNBHvKTUmIhlw09ZI6Wz3lbJs0OeCwACxGhAIqJ8kk29APHkqHm/l5jILzPz2+H9PwPw/zDzPyeif6bv/+sbnoEZNBewUbYso4YSyc0JVJRKpPLa6VTdb0ykdZW4zLpbWFdvDCA2o3QAMouqLjQ9UNBdPA+yFULSuHiAkUN3t5SOYpp5Bw0RuFQMTNhjFzqgLH4mT9q0oOxRB2C03B4RUONK5gFAomBq/0vBhGkCa2B4ISozMraFK1yFX9Is7zY+HChm7oCEiJCKAAmH/oAAJKTs3mbcjrqtMZEAIk1UDfUPgvtSbGfvP0ldtzQriFT1wtS6DiBFGpadiVTErTJI91+ym02VRTxnBQEAmOTeWX8nUu1jJgcSYSdVQQXCjjT6dQ3Yb6V8HCE8vwbgX+jrfwHgP/oYfmO/7Jf9skfK7TIRBvD7JH6z/5GZfxPA/cz8pv7/LIDVVWRE9OsAfh0A/uk/+i8FnQ29SwISgzL7TNACbwAQ92zEhMOBvi9o6kIT0XO7h0bpd2FnGQsWYu65aMIw+3kBqLjZpr0mjRZhI8Rg0lmM4CYbAFA2NtD0nlSkSXyhIFRLtZmWALJGCE4tGttlMGXMO7MIEIvagLVDQcdW4v+7pe0DCxk9WX0fkGtjRkegmqmiDI2MhajMQ307GMMg0upSqHbQnDj2CXsdzZlF/XlRX2kvZWUmumufoVJb/McsAqp8JsyD9bWwEauAMpBBE2HbgBfKMNC3UXTdx9srgn4Vz0yR1jQ2IlVMAFiZ2h7QRAB8nZnPENF9AP4NEf0w/pOZmXbZZksB5zcB4L/6x/8No14CFbUPa9VgqCQdMTW6ThWywIrspoqqb+MF2L2j9HkcuBsEqNx1fAput7ZIiht4mH9fj4mFitB0zqnZvgBAGWQ3mEnFMdIOpAO6QDYa8usVmi/XGPSV0KltgMjo4f7z0DCjmNjR+K6d0AbUCMS+dqgNsC7+xq47AEhcsdoVdTV2gx6DyUZyv2VMSXsQtdgbc92SxcQQ3IQxQAEEcCn+iNWJ2/EdWHD/vus7dj8YXdyQPFq/gZu95oERUdU+AyD9nauu2bEfEHXeNDSmtJgnmaoARk3B362/V6itm0pi3zWTR84i22/emXJbIMLMZ/T5HBH9FoCvAniLiB5k5jeJ6EEA5z7UySxyz1xWFUE4asFmpthTjGStCiSOIvEi+5veDwpu/7f/BQ3Ff9CvqbEQn2H9ovQ5zhClCpDYAKMqdq6yIE6tbhRPZQNxEEJ5vH6b4OP11+YiHZuiBwpqesHQBt3r2n+3d5frwNF7ANh1N7B1gF6ZSrhqYBiknmyAEOrYtUdSQA33h8M1s14XU7t+7xJ6bn8/tKN/ttZf4gMDuBgIed8JF9YBCeukIZ+5/hEBxD8rMglpxjVKkqS6jYeKtu5j+M3KqjGxv7fJJdYRGl90J8otayJEdJSIjttrAL8K4HsAfhvAP9TD/iGA//MjndhmfKB1Puuk+t4zQcUbG9sjdna7uYB/14PPMHamcH4rNuvGz9a8MuPzh6orFh2w/51wjeMAx/r7Vs++HdbMicW1DCAVC42/tXKMlxp+v/sN7tosgk9X/92ud6wrj20zDpTlKRbtdaN+NNR7ra3b96zP2qMBqBynA99YiIHKCCBdW+l3oO0UGIwD0QjYHXj1ANkD3rKut1puh4ncD+C31A01AfiXzPyviejPAfzvRPRfADgN4O9/6DPeIbX4r7ysXbexkgg0gNxY3ZV9tyId8k6RzZWytlJx1+tY+/xOXszNruHm+Lfny49rv/6Q5ZZBhJlfAvAzK5+/A+Bv39JJQ3wFALeZu0hlQh/evjYegtLEJjqyhcfbublRXz+38mAidJknXKFcuV6/sHEKC4Z9PC4N1z8UjvWP/1+rK1l7jOcI34nPdonE60Ay/B4P7cDh92g8PpbUMLRrtmGthgWa+f9i3ce63Oi9i6u0+GytuLkT6ir/6PuDHRsfi++Y5kLkQdZdMZGddEVgSk1UBcREq6qQ89DnKPXn0RAI//9asf5GtG5nhIV3H3IuuWnZGxGrgDROrLwNNutYIc1d6zRwYIhgM8Zasb7pOr4NEo2adBFPgcTPkeSEcqxdXwKjNr0glgAe7qUZBkqX0tFu6giMWqeuA8eOvPaaoCDYPr9he8TjCM2zQeH/4RytjVr72SpcS0Pouka4XtLVuIuia4z8+lM4P2Kd4Md1dY3XvvI8Hte119geoU3s3ngqhQGUPGx8cd2hUbOkmKRqg796KDvnFmnKBaJ5GJD4taSQ2jF536MASBTHDKDZ4axNbexofe3+UGtz7BHvzB0qOjBzasidNHrMg6/aSOgyMxH5DR1nHvNMEPT4GgcYAbm5umx5uQV22aImEfyqLL/WuEmU6kBiF7Xq4iUCcps9JMVd8roy2W8PeVhtXYPW1dvA2gPt//7QdSJxifcai2uC7GAyMXTBoL6u4TpgQKCdUNfoUJXl9yJq6rmS6ljGRlQMBfXBTV3KhGQdXh+Wys8yedkSf184FtqrA9Blu3hUZgQRfR9FYmtTC1IbhVq5Nu7bPsFD9onas/evZH55AQGfDE0QBeS5JlCqkLj9eI3aB60PJR0fNk50Za+zEwOVOAFnDZ8fInc5U98et1H2BogQWmOkBLbkK96J4iALuSZDboTVBVaAdxSffnt+rZGu6mrVyElM8FR4nDV0fQjAHs2XfvGfAaGBow2wJNGCGpGLWEebKXarX8wDgTAT+v/bEu9u9h2bmuBxGU2ZodBGbSCBwwzm+5XI9/23LKzf2iOTvyTAl+27dyleCPS+ZQWPkPpP2gtt1WnC4uHHhPbBbsfZBcV7NnzmwGHVYerr3fXB+Bt6zTmBswmhBKpJFssxy+IVE34xx5YHqDYQ7prIWE3WSO4kr20dTZiQ5Ljkk9RaP/Nrt353h0Dklr0z+2W/7Jf9AuwVJoJGzXhKwJR0VkqoWXNw6GxeJ/LU+D3tb7A6ruL1YC2zW/UnAcm1ICtVhYP7KgOHV6WUxOAZwkZS8oAy+UFz7/FSKNS0dgB6dpUINSevj2Wzb9Qdvl9I9S0R0ae588/CVomRttN6W1i17F+jacMMWRnMbfat2fZFFtOFE7fPfMcuaUbbzoBUV/AYkJEKOO0eZkivY8/KfOvI1NrBP4vJu0MS7zV9xa6ze157zct6A5C8JhpZ7AmRJtE/nBXEILzKwJQ7HkweY0AaRLcirCbre6QMJDUWMk3AlMFTBiZpDM5Zxo49cmpJnc1ENFZibX8Hyt4AESLwlME5C3BYA2j+SOskABqALOzkeL720oKT5GYBbS8WWdgF0qX2NQYI14YhFQASmGR1pGVplx7E4RjRU5pnSX9TqSUAB0a/uVMbOHaTBTRbHQ1IbJDUBYiEtIAOqM2e6Cirm3bk4fLeXiGcs8PE0K9j/BKYkNQMrLC205MZWFcGigw+WkmAE0XVrnOHTHDd/c4GJKEdAoA00LV2wE1BJK7+hr4e6XlXb/sOU0txWSHmy9Q6oscncRaQCE0t+o92GtWWNH1b+9FEromIWZybOZNSByCctTFWAKTmJH1D87D6mMnAiOm3WvYIiADYTOBNdvCom36WrlMbZCMT6cS0sRgTUY2rMRFZr0IaIpxKHAwJ1ZIdzyzrDgpQSbJGUVHtpJgOAIkmtJ90r0tgI4CLXDxp/ZRh1U08RgeLpv/nSV7b4HG7fAoA4iDSC6sjiDDQArwSPJ9E88IIkFRA2Flu/gKRPVrS6Oo3jhG36yDS75IAKukydgvz9+LeAgUNap3bWafqIdIWAUAmDO3Vt8+ojdj9HjUAE9U7YbUovpqsNdQbgGZXY0AjinkCmJM0a4gNSx5Al3uuRwTS5dFcabFupl1gEFYHNsI5NQAxgFgDkEknqKjnhOxmd6LsERChZsZsMnjTZuq6kWxXDURCh4qd5QYgEpX2RTYvAxBqg4kIbQk8AeJOk6mIi4QVU5im1wKiZHZNnanFUwCRPNZPvmevDTirDRoDEjd72PNnSnZzYyQ8MIy+LRjQkITgUfIcKHBGIoDaSgMTlZeVzICEkdjyfVvDYov63MNhjdLdd8Dct52A6sxtuN9TeB/NvzVTJi3bousjbKDKbcmKJXEq7bix3t0NhoJjZHiKWkm/6xgWvDOUqoABIGu0LDTeFWljs6m9z0FEdSaSOhCpU8/ea2C63m+iaP+JA5FNktnZHz2A+CAb7V+jvyN1t1ObDqC6SJdjterNTZBVvDqQiABShphmoBK1RWURTPSexzwQXZ1Geq7MI7IPq5uD5AR/b+ARAaTaxuYOIMZGzIswgMha0XBon/yIZB1LIfVcyjksoxqALqtaAqGqeSdkhpqZqAORKtpCQm///jJaWsvBCxVMNmeexswCoACBhUSNKHhUOnNmbJPAUqVdBFBI87skPT7WW5rP0Njc1gqgHJIjaVYxBxKL80gETi18nVJYM6bX0Olqdn8MPLICh4NFaqZKYB7yPzUJFzpTmHjvQNkzIFIPZH2IGWMAUjbkjQG0wWQzloP/MOtaVGJcoIUa3I+WgUsprAUXcSJxt1tQIbVjKDUwMRNGfiy8BoKtP86sCiJTA5QIGIACyCawkU0PIJ0Aq2xEWAirCRVAJGgjwdZSUwZtmkxosy8paJKyNLKBgwYaBHU/sgdnJVtVW2QQp0INuG22Xtx3YwftPhoj8Xvt5kowbUeB2QAmBX1I0HB3fQgN3Eww9QV1hVs7zI2hWulZiTYuy3+yL7mX99ZmyeOGqGV8h4L/KKoCzZ6y1xYuMKkb17VCAQ5prwAiQz9rAjmcHe+lzGa3XThBmIixjgMCHpGFsDMRNDHtJpoI2x8FEVu2DhggKJjoOVIK+Svcr64xPBmecwOZ2uAA1NYfftw8C9qZgX5WaKbKUD9jJpswYDYNQFxQnBQ4nIXYA0AQjxcLXZh0Dxc2GgEueo3KBCgpeBBQ9fuW+zb2a5lZgUQhH0qCZNtKPYAsFuRFhmAAoh3b6mgiaacRGSsxGz96qDpNZAi8i4BqTaEmSEtVANlqwSYOA9EZ6EgUrQGJPak54yv2ApvNJBnbU2opAyxTXgw+6xpZJ6Eg0rtZHDUPoGcfriFZm7b+vIgnus2yJ0AERCibJCwkAsjGZurGRBY2cCeerZzb+s4IImbOKHCQDkDSzuyp8JINCHgAokR3hgjMVTsqUsdw7e6qDIAxoc0mVt8N2sy7YWUjkYkweFLgUBZCuSpz2gVEWN2JNvv6XiTyWgBPOnFVtmHMuhL7+wp4zldSAdl/09hdVdMmmDHLfWeaGRoF0eaB6l3bUQNqk0oAj1Eb6swZ7icaZ2YBTE0zKwImiYCa+nrbvZX2jRTPXgdAIYApKVNj2RTMvDHFZhbLLxOARG9e5+kbAzAH3UP6hL1fcUBE5naHQeQOEZr9sl/2y09q2RNMhAk9C3E9BM1LsabGU5u9VldYAk6lzUsQ4wN81kwya4rpws5G7LiU2P/vaRYz/Ed3y2Q+BsI1ATB4G7R+zZwJ3phJ2Ed8hgmrWRlIZlCu4jHKEo9A6mc0XcOviamFc+sDAKoxkUSeNc5m8RpmXVuQ5gJ0anoBhfaiFLKeRUF1xTvTmzONfQCBdYxuXGVl3h+iwJzUxDOB2RNqoH8fguNcYGaISaMamLGxrt6hf8lbZSD62tfXqM4jibcTuLD0oyIhApTNhLK9ZHgkjcENTs08dm9Lr31I/4pmTNCRFkyE7igT2RMgAkIHIGUTdYFG+QF0jdJcvG0XvEVxe7xlNAcadW0gotRcNQFT7GUhmn43B/CprT+ui4bkAl+z35vN77ZrAA0giKgbdh2gblhNGfbM8cgMmhRAMiMRI+UqHTVoIiOIAECtpMFSOvApyXtbA6IU3MRhAK6TVDtnCqKjtqG1l+lNlp2uy4423Pe4ytSBZASRYMLUEBsjbRq8U27GqCnTeaq4N+8s+lQFd2kY8VLJehOAZ1rW2xq2PUkFhv9ZSgkDL5pJBeeQOhKQRYxVLmTENwRzhkcQGbQP61+dS7xzff9EaCIBQDbqlQiDzEHkBq68XRwAOvtyByKke7daTtMGIjoIfFBwsPHR4kssfR7QBNZQ+iAq+SxGVPLUsxEP4zbWsTGgYfAmAIjOwDRVpMxIqSLliqwAkkge0qy8CiKlSkhd1fR7JTFqJRAlARIb1OYVAIC510lMKyBt+x5EEECEPiSIYB1EHED6wLoamAiyeaeCPqRg4oDqutmoEaFt4lTJg7+4EMwrsqYPIbi/tbHRGEljIvZwj98MF+YBdJt7GaMd88msRfSO2of0L/ssMriPXxPZEyDChCWARDfnIi5A12vEmT66NuO5jYUobfUJozJQxSMTwcRmVYsTIU0SHDN/W6b0GzMRdK5GwMyZwVU51M+9MAomrCAiAFKRJnUeZnbwyLliShUpVeTUg0ii/uIqk4AIE4p6COaUUGtCSYxSCDUx6pzAlHxvmxg2Hmm+C6u+P80IIsCqd8baaA1EbMCncL9jXIxG60p/UNYxmnapB9EmNi/NO8tlKvsaC6iwpqKInj837dSESUS+iZi79I08uJDbJpKUjNWKWQNAzBprH7kIZyA+NyX0AXmjQL8avTvEU0UQifW6A2VPgAgISwDZtBnaBhQwUDRz49lgXcvbx5bgVk2TuE0Cy4xqYAKzg20QAJ1mEjOb39yciTcs3OSOmofXIYhM3LrBhJmqmC6TAAYAZH2dU8WUCzb6OtOHA5HKhKK9NJeMUivmlJBSwjxL/6rEsA2UmAisq/aYghs4qecmaiLmCg/gcVMQsY7ddXgeBgY35qHtZeyDcm/aUeLOtEs3AJGqrKAqE6m2wJCSaESh3oC6tNWEkcA7vRRED478n/V7KYUYpBomqTXdyBiIsyd0nr6FtubmTNBBVryYds5uzKxE23/UsidARJjIEkCawBhcm52IBrd/eRcmYmscTEBbaCIaol1t9jKXr82sUTPRwcFG0d2cWRdWO6aEAUQSOsbRxX9MCiLKPmhTkSZGygWTMpGcKza5YNLnTIxNLkjEyFrJNIBIZRsghArCrDPwlhiFCblkzKodlMQolFCCfW4DwgKhZO2RzMy9i7fpT33Y+9BIAxNxfWthznAwaZR5aDsYgJhpR4mbaZeqd4mkrMRAxFfkMqGoslprQq2EUlK/ujjWGxLzkfQZnmnGm8nrZgGMdp6k9fMJydorAq33H/TmTNSM0tJskf41aCE5tmFsU24gch23XfYEiIBuACCbRmUBBRSPB+CwOCGKaPpsQlUAEr/bFTLLuGJugMG9JlJ0zHTxD/BIWPnpQZBZoekAmh4y2PkWAwJIO8AGy6aK9qEAstkUZyIbZR8HchEwIWUlqWJSBDQAsWcDkcoJMydkreSUKrYl60CTzbXmlECUvWdXyqioYuJY/dSUATEcbaoNFGsr6tpqvO+NhTR9yx0nI/voPFJBG0rc6UI5SVsQMXJqbTBugcTaHpNrRRWlJqTEKCVBFmlmVGr1tm7lEbzogaTTSdCWCIwBjW2fnl00I2rt0FgtLSaiqIks4mlG/VCPQYIF2H5yQISpuXEdQIYoTe5cm/pM3Kvwu5gzUGHVA6oAj9BEia+pnadNYRp81GaNzt7XUy9KsDtHKumCaXBXmnC8BiB5KpgmYR0HJgGIKRccVADZpIIDqWBKRbQRtIGTwoKVqhcys5gzxkR26oRMFblmZGLsUG5762olZwJASXbeQ+qB0mZcGGMjD60n3boAK7cn6ixdqLrpHWm430H3SJOZKXWhDeUIJNas7vbuzZlo1pWaUCq7aUeUBRt143UOYVUdkHADEm9rtLrZBu0W2WvmsbWXi6p2ac5AXIRZaEYmmo7mTAcyqid1JqKzvuWq5lstewJEjIn4GohpCSAdiJiQZgq8gsjaZnvsIEKaC0SPMUBRu9AGgi1Ca0yE3eSRsGidbXIzjVYHB3rwkGuHspEgFK7Ff0y7A8iBSfI2HsgCHJtccCDNOKBsZJPKriACwFlIYcKshvmUKnbK5OaPMRK9NYtSYR1cf0ldvgAUiNnDx5nV/ucBbOMs60ASkisBwj5SAw83XSYRkQEgZ95VGzJmBr3SVSYSzLpCjJKEjVDRmJtoDtr3dCpnCIC0VcwrQAK0hXzWxzovIRREAs0JZgzQT0amhYwxNMDAcgOL69lwTKO5Nvt99JJufsh+2S/7Zb/sXvYEE2EY9TJzptcKIhNBmJkosbvzQOt7izJED2FbIxHWSUjmLWEkFGZEEJqNr+YNhxgR3+XMZooPa86ENIY2UxgLMQpvnhjTQXKuHQs5kMWcOZAKDk6zsBA1ZQ6mMjCRuhBWAWDmrExEpsPrVVlIqQtvTlprVAgTEcpOwJzgKZnMvFEXukzXYZYd28jaNwirlvTcA8f0fqdJvS+pdgLzlKSNplywSU0byqH+kZEApmVIm5g2VFLCXBO2WGe13o4A2G+qJqhi2d22amdoaQO0qtrHEmlIQdxY3ljaYM70wipCnEgbL+5gwAoDiV7MIKx2zog7UPYEiICakNoFFakrzwOJgJ7Wqi5iKyZHUQuAx4kwUxPwAAUP1UAK1LNGMhhMLLTjgBbtqKo7UgOPhftyIawaAEabdUUw1PqR0vWcWU2Z4gPkQBIQMQA5lGfVRGZsqGJKxZej28DJqChKOisTNlywZdE/ADF7rvvS2fXiW9OafoAUsrlVB10H5AJYpC/bNhIrxXUQwlIsX3Hf5qB/WB03U+k8VLuJzGvu7sqEiZpWlCkhEWNb8mJ0+GSRCZUrmJOK9lKRmE5SMqGJKV2nViXzaHksSAKoLtun987QYM4sn4FdACQuBwAaUN9Bc2bPgEivJMfGCBoI0GakJKIayOIB+tmDiH19COtswTWsF9HfjZGubJ8Ve6GfxghCEgQn7Tj+xVUQCfYnEGYRDjc8zLaAzrTN2zClik2u2KSqHhljIsJADqZZWciMDYmwaiCyUcCJmceKiqqJWdL3oc3OsRhrsWfO5NtpADqgMjnZiMUAGbbr4Oi9Csc1YA6dO0wYXfxH6gVUAO7iNgayUXF5UkCNDGQVRCCAAACpJiTqwdTDxQGP8AXLRu2se9+yqayMFv2a0byCaAN91YNItGSzHYigHyP2TG3MyG/sAiABmJ3xGsu7A2VvgAjQYgQCmCACSBhkBiAWUJRSXYCIFAMSmUErtfUiCbI+xKySAD/SGQK3FH4SDlYxtuWAWFann2H1s66OPYBQbpGolFogWU6sQFKccQBqzuQGIAYi0ZzJVBcAUYmw5dyByFgqEw5wEdaioFVZF3yxRLTmzLDMRpUbQwFYmF2WNiIioPKucSIdgCgbwdDR7X5nA1hiTMZElIEYgIjA3IDEgCMCqtcT4pmZjYUlva8mVKr7tzKhVkbV35SkzQTKrGttIMm4axikrK5XDubKWHdg0QGp4U4PIqNnJgBIi97dHUD8ukaP5h0oewJEms0XaK0+pNLcgpk0CjECiEUmrmoi1IAklooK2XkMXfIisFJMPZvNJhFISK/TA9d26SCuifj7wEy6R6gfWb3YPQ5tZg0zcFJvDFUBDwWQDQ0gsuKdAQb2kaxNdMCkogMoNfMlVRQmlERIFumZJBpYJm8dYBaEoAvZWHeDWoulsfvTmS9hhqRs97mGey1tks1UMy8MNfMlMpFNF3i3bIsECrYGHEhqIjAXDUZr9QYk1iNR6KOJmpZjrlszdzVS1fvX4MogoNdD1kBk9M7E14Hptv+xT1gOIDbBuiaybv7fStkTIAK0hokL6uIgswYVIbUuACQPpgyAznSpgOe9tVKZPQ+oaBztZpvo5NtAAuLLJ3IvnJspu80iFOpln7mPPgAkobmUY52SuVttoAhwADJ4NjE2hFgoOxgbZSsZK3EiVLGx90Fc3FBBJRksW04yEGvFbBnHtY1zYpmVCRLKXcUF3uptoECIGd84LE5rNwrtMweQYD2Sue+ljVJiDetv99iANQfmEQGkBdzpkoAgrGYq2NaMjcmfBiBEXbvnmrzegLiCPd2B30tq9xc6gCt5kNnC5I3FxvjQfxbBZitjw5d+YAkunXg6ADWllftxi2XPgIjZxp2HRD+XQaaDGnDTxZ+x1EPsmZm6iaZ1UF3yX0K8SLDPex2kdRKmNnuMSN4F79jEa99HYFrjwxhXqFumxq4cJII4aICRIRpIVkaSqSIH70yOPVdUzg5IAKBQcs0g6yMpAEXvRqmpCx8nA8IoahsYW5sZjvQ2Y2tbjO3emAhovN/tkcM9tmu367V6RPYR6+Q3A2LmbNWcyWBJQN2dM8bO9PfIMtvHPmJ9wPKssAGeHed9ovUZa5rYfXg4ZvyOPfqxEtvSzEN7HdqU7Hk3VPtoJd38kL+a0g1koG+YoUSQALDr0ve1EpZAhO/EA4ZHuAYers8nl5UZ1j5fA8Xu/S7XaGUUA8fPI6jI+8Y88vCZMZM8jOY80Pw+WG0pSNI4oLBSR/8sghiWbYv+NQ2vO8DS3167nrE9Wt14CSDA4nVS/agBUe3OOU5Siz6DMOsPZZxc+ovvj4vg0AFFPP6jMojdjr9DTGTPgMh+2S/75cezfGJBZLcgqf1ye+VOUeB2wjt8vr/icsfb40P/8K1+785f754BEROWutiL+BxKXMa9W6m7tNWYVHvhueHhEa6BhutzZjn+VtCsaHEu6t/vco2tHut1HOM4mkjabmkZPiuQFbxl6IGF+24QBVd7tGvr87PCqjLWEVhtl2XbUnccD6/H3+PhesbPxv8V9a5UrbvXcXhdOfkxi7Yd6huvk8P1r2W4k8+HNsD6+yAxudhKY18Z2+/DlO77tP75bZS9I6wywfJM8tDJbJsD6Metc4lwWiDeNd+EKNw1DgOh74yQ4DM/qV2DPRB+sA18v8H2v/BM3N8j1xLtuqp8kWNHGMDT6lY0RoHRD+YIGhWEgoSChMQs+S049eLh4J0xINlyxlajlOK5x0EXB9LYjhbAh9iulYY2uwloUrv37fh2s/v7HR7x/pprmhMqs9cjRXcJKqJLrQXftTYtoY4z50W7jzlqozfP6kldvwkTzzgpdRPTEiwovCWEPkP9xDS6h1tbhjZF7M+aoIuB9aCIj172DIgY6tqSe48CJMBzXwLaHgmVmlM/pW771G4kSydsiYkt2Mw7Qnh2XzCHWcXzYqDvKNyNz75TUN8BzIPI1jPM9ad1ZEsQDIApNXDULFulJhRKmFPGrNGVExO2NTcPTarYcsaGCraaV6BS7VaVAnAAKZycgRTIZzNnzDXLSt8qq31jXtai11TYMoLZYELopKRrlFp7eXtGING28DgRu7/gbgm8DUJmyQNbiJBYrsdOYx6amRiJK2ZOHvPh7lvtK5GFGUhuDVh0hXMEjbHesP5UQ37WCBK+OlfTZ4b0EeNDjsM6yHITmYe5QHBQxwbFJRrUPm+eIZI4Ef8+2ek/WXEixAhJgeTG+NJ7bbAOREjeW0AzUOGp/YfSRawGEGHNM8q2KM8eTJLrIXaGChn4lkOkhpuPXcxMnQSZEPZ6bfMLd9GvDSQ5AaUQUiIBjpI1PiMh1+RxGzPJ54kTkkag2sCJsRBpxVQxEDEmcr1OmGvGtmZsOWGnCpgYkADAXJOkVQwPB+BCYN+MCQ1AagCPtYFig4DhcRXedohjMkHcyEnW+6FpXkSMVJNkZKssYesxaIyaKxecbhixOjt4St13tA1ivQEBz9r1He0nJSQYcrAgz4g3gokfNzATnwMbrvbCwwAWC9dxVWAhkiUaaImLutidTxKIAGg3orIsUErQHB/GyBqCWseS3KmyEGo97L0HkW7tTG2dgAvJAjLtCKhoiXQL9PPWCdqN12PGAWI3k2WW7ViJTa9hwZosANQOShVECaVomsJaMdeEpJnHdnNlynfFvBnXzsRSfPZt5sxcM67XCddrxk6dfAAVTrIQDQIic5FBJikESQZWCSwOkHqxtqPdLKZ1oLX6JwaxRn2OFJuErQgYCDoQMeaSliezdkiyHqaGtTO10A3WzpDX0eq/rRmlJgURNfP0N2tRAA39BgV9v6loaTZreB+epQH6CQnWAiM4jEDcVT+iDYYvWax1m6T8PJ+otTPWkAWNURTdYNsas1A8XIA4AWTLaUkiJxendjpsZot+biBincAApKCbUfx1R0VpV3NGvmQPm4V5OKbdYI8l8azqsv8LFclvOidNkEMsQIIbgUhCQVvFu+W868pVM18AYFuzA8hOkedtzdiWjK3lYVUAKUUeDiA2kDw9YgBi10d2AVpvCk3HYHb+olkFQKqzzhv7A2wPHQGIm6/inYM2tC0Zs4LntiZsi7ye54xSbAJK4Dl1E48/vN+gpd0MgOLvnelya5+xHtZGuvXIQldZFMKuQKJ9sAPruhwvt1L2DIikuUWU+l4mHg24YjIyAbkCDBRlLB712U6rL3QrAG4N1wAECwZiHQAIwFHgZk7LRjX+UCuWnyTupiezAKsKHIAknoIITEkXErcMY4ABR7hl4aXlB5k4hfUiNXwPTXyE6Clmqmxrxk7N2CkTdsysKRnXS8bOrEDjA0lBZE4CID6Y9PJtYFk7mTawm8lHEIqd4NqH6VG2gE2YpDBPTMA8o3lLhh4sCwULJoieMetahxuBSBNWNZ9IyfosryNwAkCdyetOhWSP3QKkkOA7zbq5V5W+bQAix/CSiXSdANr/9eOqoe3K6JilbezZ5zJnx+FEJrCGHQfMJOc7xET2jIt3v+yX/fLjWfYEEyEIWjc7kFDBRl7loGgRMMkiNk6S8EbtZoPucQEeooruglYQxZyOoukfkZZGcSyykCisDrMI60zCJvJBWQlr9qtsB/Y6AGv2D0CSIs9DW9Wp6RwVsjzfVtwaE5kHBmKMxLwRIxMxLWCnNBayU7LPxAAwzxnzrGbMHOh8aWagtNeKEH0DJiIWny1U0xkzLGxkY23M4qEBZNm9b6ALSVisHpQpy2rjja43ytzaYpEWAQMTUU/MtmTXf0b2BUDqPmu9lXGk8AxAXpfwrK+pMpLqJNZ3bpbtXT33AOnWIrYqWPUNIxTGTqpR99pYr1mAzLqqmHDHKMSeABGwNnb8jBqQyMCzY0mzgUFAwFMGEAa8aW+M5pnXAGg2u3Z6ClpIDyIBVDjqIu2HRnuWzYRNoQPoe1QgVYtxgWcKXwOSqi0yAokVt+lTank0OGEnrKdZo/At27sAxI6KiDsKIHNN2JmzU3kAAiAlC5VfAEjYAc/aKwqGDrrBBjegN5OvQlZME7qcHKh6v/VeMifJKpZ1QJvXLbd8JyURSkrIqSKpCRKzuI3t12d7F8HY9J9FvQEFDgGStIWYMwYkWznEAWQ2c4Z30UTQZXpf88743jcJSFXahys0UVST3CoDyAIq7f9D8uvaAHtNQ7yVsidAhBhIW8m+RWEi8vgAhudy4MrNG+BLnqmdaCyBjUTXrc+UxjSi+FXjoJDv2uzRsZEgrMafNjGYKVwj0BLKMJrI67k57cv2lHzmHcVhQL5fsuX4kJiPTNlX/AIGIlH9hWsi5roE0AmJs87CrgXowClF2AfPTUiluTG4hVdiTVj1BoKzRm8jgufkcE3EBoy6iW3ikPgMBaHcstYZmKQkq40tqROA1YV7FgviGwDU6H1KqMpAvN7aFlQItB0YiL+Xc6W5gQgVbrpIhWzqHUDkZsKqJWxi1deqhj6wbgbe9hK2NtM+pv/jHNpL+yMlwspP3lLZEyACBtJWXhD3A8o7kG12bCJpDQDi+86sIGug0338RwMPVBO9wu53eg0pzB5LEGm3YR1EhJJ0u4/pdVcVt5KaN05JWeNfTEBD8mCuGKJve+mWKmAy1+R5NSKI3GibBAORkcLLDCwgwuaRmJOLqKRAIgOjATDQM7q1GIiujTAyNjGLqqfChJucJoALK7EGlMFRqyb2VlZiSZ1KSr61BGHp0aqsEcG+Fy9UQBU2woWW9YYyjy1J39gKkKSt9iFjIg4iwkDSrODhAMutH97A3PN+o+1jG4M5mNQGEBJvhPbIrZ9REPfZmcjKb95C2RMgQgzkHXmuphEwgI0SDgMTQBLDaOdyO5qoJf4BomXQz4Rx+0JrXAUPey0zRRgUnX+fexYyDo5glQiQKJU0961txqx71tQpsgw5ibGu6sABQM0P5up9rVbCNFnqvoqt5mKNuTZ23UZTXzsTKUmpfHL2IdpHoPCRfdgjeCRiXM1o+t1wpjXA9YEi5p78pgAKV0hA29RYqG2rCo32lQDFKoMr7MdLnlQJXUqBbi1O8NhVbsFz0X1tdQaUdShgkAJI8vdyWWnmjo0YgBgLcRAp1j7NpJF/oIvc7bbELFJHqhbvZH2VFVgamBhjtwyQZl67LnIHyscGIkT09wD895Ah/z8x8z/f9WAG8jaAR9j20gebNZRuG+g7e6m9aIlW1s4NJSrunkVgIsFMiayjn1njtpC7mTOtBzgDoXbjAQCpv8lWNxd+9brqRurPVTUTZqeu3uEnAtckJo0mL54L+/aRALoMYH5tClBVRURAX5fkAWQ+A5sLF3AR0dmHi4bD3sWdORPaf5xtI9gGAEECqrarAUo0a7gIgHiEr4IMCokGkBlUWPdW5iGZ1bItGMEcYAh4VOo1H6u3MZEiQNKBxNae9fdcDxEhtTESiaxFGPgyoa2grLMHAs+ApVqsk1wDZ83z6ptXEci2Isn2f520fCIb+uSB5c9+1PKxgAhJcMP/AOBXALwO4M+J6LeZ+furx1cg77B3NmLN3emDqIGI0bNcyFPhxxkNCFQ5MARb+9KBSNA7aAAQ20bStJAUaOhanEhP1XkAkUYlu5s8kQOYbaPp+s+kOV2t7hPEG+U0nsC5CigUAZOYMlLuQxtAfqmmAwzriAw8fAaeRdTsKHxkH/Z6XgHdCLaDcNjf+AC4rm+FDp8FUFgHjO9frGDix0xq5hiYaLJnEW0DXRwnGWeB+t48djFmaDbApKB3NP2DDEC2jX0A8b2CyJbbZDTXwIh7UPGSBiZi4uokwYcOmJk8I70ByhqYuC5n+9QYaO9VEAHwVQAvMvNLAEBE/yuAXwOwCiJgRr4uYgFZcAw3VkKVGh2rrSFsbxMXMa2T2PMCRAIT4RE07DX35swghjkVXYDIzZmICat2k2tlfe7NrKosqWpwldBsrY9Tb9mKs1TZVqFWSfeYKHVJn+XZm7ktA6htcZ2YCzoDG3iEGRhQ0KjoxMQxkAqIAnTYLvKG5gx3ICJ2v/4/w2dSB5NKbc8eSNsl7RPIoo+55476xXzdQjUFkD4KNIBHEIyddbk5Y2yksY/GRtiPEQBhBRABj1QYZGzEb4r2n8hGEi1ABJnAxdgIgZOChW7sRlk+F7NG2W5RtmZLmzL1zO/I8r581PJxgcjDAF4L718H8LXdDiYG0vWqjUnOGGzHdBtsgNqA3e5eaCDiJ9TncE9cwBqYiD07SJT2vj9OwcUApATgWGgixkSoIT8MRBoFparUtHLLg8FQ1gFvhzo186ZpAcJMUNg7CaVG4wF0Ubxy7rbi1sP+geUMbF6XWcRDQAYRlUDhQ+yDRWECSybSQGSJIqtgm/oO7xpSbmatsRIAwthMM8mQAZKpxZw4O2V0eU4NT8yDpG3qMUHR3T+3egPNbSsaCDuY5G1gIrOCx8xI2wAepQrAanuh1sDWYocNIJIApKT1UvAo+j4TqulRU5tkKYyRGtqLCvdM5A6UvzZhlYh+HcCvA8Bv/MZvXP/lv8nf++u6lo+7XLp06dSxY8fevqUvM4CtPvZCWaHAt1W/2y0zdg+kuUPF62f1vgMmQCsjfd6tjKLSnSnb7fbp2z0H8coMcdsnJfoFAP8tM/9dff8bAMDM/90ux3+DmX/+jl/IHin79fvxLp/k+t2Jun1ca2f+HMBTRPQ4ER0A8J8B+O2P6bf2y37ZL3+N5WMxZ5h5JqJ/AuD3IC7e/5mZn/04fmu/7Jf98tdbPjZNhJl/F8DvfsjDf/Pjuo49Uvbr9+NdPsn1u+26fSyayH7ZL/vlJ6fs5xPZL/tlv9xW2QeR/bJf9sttlX0Q2S/7Zb/cVtkHkf2yX/bLbZV9ENkv+2W/3FbZB5H9sl/2y22VfRDZL/tlv9xW+f8BOtrATn++7G4AAAAASUVORK5CYII=\n"
|
|
},
|
|
"metadata": {
|
|
"needs_background": "light"
|
|
}
|
|
}
|
|
],
|
|
"execution_count": 70,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-08T19:53:36.492Z",
|
|
"iopub.execute_input": "2022-08-08T19:53:36.500Z",
|
|
"iopub.status.idle": "2022-08-08T19:53:36.634Z",
|
|
"shell.execute_reply": "2022-08-08T19:53:36.651Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "markdown",
|
|
"source": [
|
|
"# Evaluating some data\n",
|
|
"\n",
|
|
"The parameters should still be recoverable even with background \"noise\""
|
|
],
|
|
"metadata": {
|
|
"nteract": {
|
|
"transient": {
|
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"deleting": false
|
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}
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"rw_eval = random_walk_model(parameters)"
|
|
],
|
|
"outputs": [],
|
|
"execution_count": 71,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
|
"source_hidden": false,
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|
"outputs_hidden": false
|
|
},
|
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"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-08T19:53:51.309Z",
|
|
"iopub.execute_input": "2022-08-08T19:53:51.320Z",
|
|
"iopub.status.idle": "2022-08-08T19:53:51.335Z",
|
|
"shell.execute_reply": "2022-08-08T19:53:51.346Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"TIME=2000\n",
|
|
"lik = 0\n",
|
|
"for t in range(TIME):\n",
|
|
" lik += rw_eval.evolve_step(sim=False, dat=rw.trajectory[t,:])\n",
|
|
"lik\n",
|
|
" "
|
|
],
|
|
"outputs": [
|
|
{
|
|
"output_type": "execute_result",
|
|
"execution_count": 72,
|
|
"data": {
|
|
"text/plain": "-9306.592515719194"
|
|
},
|
|
"metadata": {}
|
|
}
|
|
],
|
|
"execution_count": 72,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-08T19:53:51.445Z",
|
|
"iopub.execute_input": "2022-08-08T19:53:51.456Z",
|
|
"iopub.status.idle": "2022-08-08T19:53:52.935Z",
|
|
"shell.execute_reply": "2022-08-08T19:53:53.166Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"class gridsearch_dat():\n",
|
|
" def __init__(self, ps, actual, grid):\n",
|
|
" self.name = ps\n",
|
|
" self.actual = actual\n",
|
|
" self.grid = grid\n",
|
|
" self.res = None"
|
|
],
|
|
"outputs": [],
|
|
"execution_count": 73,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-08T19:53:52.952Z",
|
|
"iopub.execute_input": "2022-08-08T19:53:52.962Z",
|
|
"iopub.status.idle": "2022-08-08T19:53:52.976Z",
|
|
"shell.execute_reply": "2022-08-08T19:53:53.172Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"sigma_i = gridsearch_dat(\"sigma_i\", 2, [1.4,1.6,1.8,2, 2.2, 2.4])\n",
|
|
"sigma_j = gridsearch_dat(\"sigma_j\", 3, [2.4,2.6,2.8,3, 3.2, 3.4])\n",
|
|
"gs_list = [sigma_i, sigma_j]"
|
|
],
|
|
"outputs": [],
|
|
"execution_count": 74,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-08T19:53:52.990Z",
|
|
"iopub.execute_input": "2022-08-08T19:53:52.999Z",
|
|
"iopub.status.idle": "2022-08-08T19:53:53.013Z",
|
|
"shell.execute_reply": "2022-08-08T19:53:53.177Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"#just to be safe\n",
|
|
"pdict = parameters.copy()"
|
|
],
|
|
"outputs": [],
|
|
"execution_count": 75,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
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"deleting": false
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}
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},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-08T19:53:53.026Z",
|
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"iopub.execute_input": "2022-08-08T19:53:53.034Z",
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"iopub.status.idle": "2022-08-08T19:53:53.049Z",
|
|
"shell.execute_reply": "2022-08-08T19:53:53.182Z"
|
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}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"sim_dat = rw.trajectory[:TIME,:]"
|
|
],
|
|
"outputs": [],
|
|
"execution_count": 76,
|
|
"metadata": {
|
|
"collapsed": true,
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"jupyter": {
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"source_hidden": false,
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"outputs_hidden": false
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},
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"nteract": {
|
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"transient": {
|
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"deleting": false
|
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}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-08T19:53:53.062Z",
|
|
"iopub.execute_input": "2022-08-08T19:53:53.071Z",
|
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"iopub.status.idle": "2022-08-08T19:53:53.085Z",
|
|
"shell.execute_reply": "2022-08-08T19:53:53.188Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"sim_dat = np.expand_dims(sim_dat, axis=0)"
|
|
],
|
|
"outputs": [],
|
|
"execution_count": 77,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
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"source_hidden": false,
|
|
"outputs_hidden": false
|
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},
|
|
"nteract": {
|
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"transient": {
|
|
"deleting": false
|
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}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-08T19:53:53.098Z",
|
|
"iopub.execute_input": "2022-08-08T19:53:53.108Z",
|
|
"iopub.status.idle": "2022-08-08T19:53:53.122Z",
|
|
"shell.execute_reply": "2022-08-08T19:53:53.194Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"for p in gs_list:\n",
|
|
" res = rec.grid_search(p.grid, p.name, sim_dat, pdict)\n",
|
|
" p.res = res"
|
|
],
|
|
"outputs": [],
|
|
"execution_count": 78,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-08T19:53:53.140Z",
|
|
"iopub.execute_input": "2022-08-08T19:53:53.148Z",
|
|
"shell.execute_reply": "2022-08-08T19:54:09.614Z",
|
|
"iopub.status.idle": "2022-08-08T19:54:09.541Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"def plot_gs(P):\n",
|
|
" fig, ax = plt.subplots(figsize= (35,10))\n",
|
|
" for tr in range(3):\n",
|
|
" ax.axvline(P.actual, c=\"red\", lw=5)\n",
|
|
" ax.plot(P.grid, P.res, \".-\", c=\"black\")\n",
|
|
" fpname = P.name\n",
|
|
" ax.set_title(f\"{fpname}\", fontsize=35)\n",
|
|
" ax.set_xlabel(f\"Parameter Value\", fontsize=20, color=\"grey\")\n",
|
|
" ax.set_ylabel(f\"Likelihood\", fontsize=20, color=\"grey\")\n",
|
|
" ax.tick_params(axis='both', labelsize=20,labelcolor=\"grey\", color=\"grey\")\n",
|
|
" ax.annotate(f\"actual={P.actual}\", (P.actual, np.median(P.res)), size=30, color=\"red\")\n",
|
|
" return fig, ax\n",
|
|
"\n",
|
|
"mpl.rcParams[\"axes.prop_cycle\"]=mpl.cycler(color=[\"slateblue\",\"rebeccapurple\",\"orchid\"])\n",
|
|
"mpl.rc('axes',edgecolor='grey')"
|
|
],
|
|
"outputs": [],
|
|
"execution_count": 79,
|
|
"metadata": {
|
|
"collapsed": true,
|
|
"jupyter": {
|
|
"source_hidden": false,
|
|
"outputs_hidden": false
|
|
},
|
|
"nteract": {
|
|
"transient": {
|
|
"deleting": false
|
|
}
|
|
},
|
|
"execution": {
|
|
"iopub.status.busy": "2022-08-08T19:54:09.556Z",
|
|
"iopub.execute_input": "2022-08-08T19:54:09.565Z",
|
|
"iopub.status.idle": "2022-08-08T19:54:09.580Z",
|
|
"shell.execute_reply": "2022-08-08T19:54:09.620Z"
|
|
}
|
|
}
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"source": [
|
|
"with PdfPages('param_rec2.pdf') as pdf:\n",
|
|
" for P in gs_list:\n",
|
|
" print(P.name)\n",
|
|
" fig, ax = plot_gs(P)\n",
|
|
" pdf.savefig(fig)"
|
|
],
|
|
"outputs": [
|
|
{
|
|
"output_type": "stream",
|
|
"name": "stdout",
|
|
"text": [
|
|
"sigma_i\n",
|
|
"sigma_j\n"
|
|
]
|
|
},
|
|
{
|
|
"output_type": "display_data",
|
|
"data": {
|
|
"text/plain": "<Figure size 2520x720 with 1 Axes>",
|
|
"image/png": 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},
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"metadata": {
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"needs_background": "dark"
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}
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},
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{
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"output_type": "display_data",
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"data": {
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"text/plain": "<Figure size 2520x720 with 1 Axes>",
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"image/png": 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],
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"execution": {
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{
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