opencv-drawimages.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "7dca37b7-1c54-4739-985d-a383ded10267",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import cv2\n",
    "import numpy as np\n",
    "\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "dcef5323-c9eb-49f6-ab79-431269a3f22b",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "blank_img = np.zeros(shape=(512,512,3),dtype=np.int16)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "85e97c38-1274-436f-b142-b4ab6dc893a4",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(512, 512, 3)"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "blank_img.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "28c02853-b1bc-4020-83aa-4033523c90bf",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x12beaf250>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(blank_img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "2fe444ea-995a-4d02-906a-d0318a63d8c4",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        ...,\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0]],\n",
       "\n",
       "       [[0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        ...,\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0]],\n",
       "\n",
       "       [[0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        ...,\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0]],\n",
       "\n",
       "       ...,\n",
       "\n",
       "       [[0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        ...,\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0]],\n",
       "\n",
       "       [[0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        ...,\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0]],\n",
       "\n",
       "       [[0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        ...,\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0]]], dtype=int16)"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#draw a rectangle on the image\n",
    "cv2.rectangle(blank_img,pt1=(384,10),pt2=(500,150),color=(0,255,0),thickness=5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "c7de3773-d0c7-4af6-9e13-7f223e2d7d34",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x12c0d8690>"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(blank_img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "4a8ad1ab-1c0e-4ee2-a2b4-1a62b1e2070a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[[0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        ...,\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0]],\n",
       "\n",
       "       [[0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        ...,\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0]],\n",
       "\n",
       "       [[0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        ...,\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0]],\n",
       "\n",
       "       ...,\n",
       "\n",
       "       [[0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        ...,\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0]],\n",
       "\n",
       "       [[0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        ...,\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0]],\n",
       "\n",
       "       [[0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        ...,\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0],\n",
       "        [0, 0, 0]]], dtype=int16)"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "#add a second rectangle\n",
    "cv2.rectangle(blank_img,pt1=(200,200),pt2=(300,300),color=(0,0,255),thickness=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "ded61093-ddc1-49e7-a717-e88e850bff29",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x12c0a4a10>"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.imshow(blank_img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "44fa84c3-efdf-4a02-8633-3cfcceef08b7",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x12c32ca10>"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#draw a circle\n",
    "cv2.circle(img=blank_img,center=(100,100),radius=50,color=(255,0,0),thickness=8)\n",
    "plt.imshow(blank_img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "1b69c9de-bba4-46c6-807d-0692ed46a633",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x12c39c8d0>"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#draw a filled circle\n",
    "cv2.circle(img=blank_img,center=(400,400),radius=50,color=(255,0,0),thickness=-1)\n",
    "plt.imshow(blank_img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "e9a2e186-4cd8-4d95-9065-2f2dd20a5953",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x12c427390>"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#draw a line\n",
    "cv2.line(blank_img,pt1=(0,0),pt2=(512,512),color=(102,255,255),thickness=5)\n",
    "plt.imshow(blank_img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "6dbbcd1c-56de-4719-926d-75e21b69988e",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "# draw some text on the image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "934d2d91-5698-49a5-a829-f292a0d85996",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x12c47f390>"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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jICCA2NhYvv76a4ttLl26xMSJEwkODqZTp07MnDmT0tLSVr0RLegxVYTQQlOFeevm89K6w4atoQBanTMhRNtgd+IqKyujb9++vPnmm1bXv/jii7z22mu8/fbbfPzxx3To0IHhw4dTUVFh3mbixIl8+eWXZGZmsnPnTg4ePMjs2bNb/i7aqYqCAvZNnEjujh0eW5hXCCHsploBUNu2bTP/bDQaVWRkpHrppZfMy4qKipSfn59av369Ukqpr776SgHq008/NW/z7rvvKp1Op/73v/8167jFxcUK0xd6TduHoJSVdsDFcXgHBqrh6elqtlKNWtz27cq3c2dNzs8zNs5POagAN/j8pEkDFJtRjf430w3i8tR22sr5vMP29sXFxXbnHoc+4zpz5gx5eXnExsaal4WEhDBgwAAOHz4MwOHDh+nUqRN33HGHeZvY2Fj0ej0ff/yx1f1WVlZSUlJi0cQ1hqtXOZiS0nRhXl9fjaITQgjHcmjiysszzfEb0aAAbEREhHldXl4e4Q06Dnh7e9OlSxfzNg0tXLiQkJAQc7vpJqm90FB5U4V54+PdujCvEELYwyN6FS5YsIDi4mJzO3funNYhuaUmC/MmJZkK8/r7axSdEEI4hkMTV2RkJAD5+fkWy/Pz883rIiMjKSgosFhvMBi4dOmSeZuG/Pz8CA4OtmjCurrCvDnWOmwkJhK7aZNbFuYVQojmcmjiuvnmm4mMjCQrK8u8rKSkhI8//piYmBgAYmJiKCoq4siRI+Zt9u3bh9FoZMCAAY4Mp92qKioic9Qoq4V5oxISGLxqldsV5hVCiOayO3GVlpZy7Ngxjh07Bpg6ZBw7dozc3Fx0Oh2PPfYYf/rTn8jIyODkyZNMmTKF7t27c9999wHwox/9iLvvvpuUlBQ++eQTPvzwQ+bNm8e4cePo3r27I9+b09Vg6hbT0O3Afa4NpRFbhXnrbhs6uzDv94FxNta1dI4yIYQAsLs7/P79+612aZw6dapSytQl/ve//72KiIhQfn5+aujQoer06dMW+7h48aIaP368CgoKUsHBwWr69OnqypUrzY7BXbrDR4KqwnqX71+7QXyA8vL3V3Hp6SrFaLToJp9SU6OGp6cr/7Awpxz3ThvnRYG63w3OizRp5ibd4R3bXNAdXqdUgwchHqCkpIQQN3hOEwwUYpqXq6GngRddG45NPsHBDF61ih4jRjRadzYjg/2TJlF9xZG17OFO4BMb6+4G/unQownRCpuB5AbLZgFLNYilLTgN/KDBsjuBz6xvXlxcbHe/BY/oVeiJAgEvrYOoVV1SwsFZs2wW5h2ybh3egYEOPaZ0nxFCOIskrlaoBj60se73wI9cGMv1VBQW2i7MGx/v0MK8emCjjXWncczM0EKI9ksSVyuUA/+wsU7LAry2KIOB7FmzOJuebrXDxsAlS9D7WLvxaR8dtt/7buBEq48ghGjPJHG10hXgko11G3C/5FVx4QL7J02yPpNyYiLDtmzBr0uXVh3jLaCTleWVQL6V5UIIYQ9JXK20H9u3xVr35995qktLyRo3zuo4r+jERAYtX45v584t3n8nrP9inQX+2uK9CiGEiSQuJ+qMqXehO2qyMG9SEoNXrmxRYd57gEEOilEIzXhcX+v2RRKXA3yF6XlXQ35ALNDNteE0W3lBAZmjRpHToMMGmObzsrcwrx8wDLD2CgV82tJAhXA1d7vHLyxI4nKAN4ACG+uGAoNdGIu9jNXVZF+vMG9AQLP2FQo81sT6BS2OUgghrpHE5SDTmlj3Eqbbhu6q8tIlDkyf3mRhXp9mDBBc0cS63wPWJ60RQgj7SOJykC+BQzbWdQMSXRhLS1Rdvmy7MG98PINXr26yMO9PMdVotHaH5QyQDRgcGK8Qov2SxOUgF4B1gNHKOh3wOO5/27yuMO9ZK4V5eyQlMWjpUpuFecdi/VmewlTp5QNnBCyEaJckcTnQEiDTxrpemMY3dXRdOC1Snp9P1tix1sd5JSQQt2UL/mFh5mU6YDbwoI39FWMq+yaEEI4iicuBqoA1tf/fkDcwB9PzLnc/6TUVFeybNImchrcN9XrTlCipqfh0NKXg6Zg6p/jZ2NcqTIO0hRDCUdz9b6jH2QhcbGL9LOBVbP+hdxfVJSUcnDnT6jivqMREhqxdy5SAAF7GenV8MA0RWIkMiRFCOJYkLgerxjSW6V821nsBc2m6F6K7qCgsZE9ycqNxXnUzKd+xYQM6G4V5L2F6j587PUohRHsjicsJvgQmA/+1sV4HTME07sndKYOBgzNnWu2w8UVSEquXLMHQoDCvEXgI2OTaUIUQ7YQkLif5DDiO7dtkPwP2YL3KhLupKCy0WZj3RGIib2/dSlm9wrz/Bd51cYxCiPZDEpcTjafpP+A/BrYAj2L7OZG7qL5yhYixY+ndoMMGOh0nExJYuWwZZZ07cxJIAkq0CFII0S5I4nKiK8BMTMnL1pXXz4EXgRBMPQ/dkQ6YAbxWXs7UlBT6ZGRAgyuv4yNG8LeVK5ng48NxTaIUQrQXkricLA+4j6Z7GvoAuZi6lQe5ICZ7pQBvY0quwQUFPDBqFH2sFOb9X0ICN2zebFdhXiGEsJckLheoAn4H7LKxXgcEAA9gGqQ80UVxXc9PMc3w/CqWtzK9q6uZNm0afW0V5l2ypNmFeYUQwl6SuFzkHWAq8E+aHtc0GXgT01QptwPXL23rWH7ADZgqgGzFVO3d38p2HS5dYur06XS3Vpg3IYHYjRvNg5SFEMKRJHG50EVMtw3fu852IcCPgJPAekxd513xQd0DLATOYZqO5XrziH17+TKbk5MbV9ioHec1eM0ai/JQQgjhCJK4XKyC63fYqKMD7gWWYhoTtQlTMvFyUCxetS2qdt8ruFYMuKmCwEZMz+QmAV9UV/N+3UzK1grzpqbaLMwrhBAtIYlLA+eBUcAO4GwztvcGkoHRwClMk1Y+DNxZ237czON+v95rhgL5tfs6Ubtv6zUwLF3C9Ayud+3rwDST8t5x42wX5t26Va68hBAOI1+FNXIVGIEpiawGftjM14XU/v9rDfb1Iteu4HRYv5obh+kWZEvVVb9Ps7KuprycfRMnMnjNGnokJZmX6/R6ohMTGZiayv7Jk6kukRFeQojW0amGX5E9QElJCSEhIdff0EP8APglpsrxHXGvbxMK09Qkq4DfAGXX2d4/LIyBqalEJySg01+7oFdKkbtzJ3vHjqWmvNx5AQthr82YbmnU9y2mSfaE/frSuEfXnZjKCVlRXFxMcDNmWK9PEpcb8QL+iimJ9dc4FjDNXPwppnFcV2h+lXedtzdxW7YQXe/KC2qT144dHJw9m/L8fMcGK0RLWUtcwrEcnLjkGZcbqQGeAiZgShYluH5KEFXbfoepN+PYFsShDAayZ82yWpi3bpyX3sfdi1yJdsXjvr57ECecW7nicmPdMHWEqJtBOBzo7ITjVHKtk8inwAJMFT8MrdyvT3AwQ9asISohAZ3uWj/FutuGB6ZOpfLy5VYeRYhWCgf+zbUHyMKx/obpOUO19dVyq7CNGwn8AuiDqVdga50GdmPqXfhXB+zPGq+AAIZu2GDRYaPO2fR0smfMoPLSJScdXYhm0AN/BIZgKhcjHMOIqVZcOqapMGyQxNVO3AjcVu/nYEwzDV/vvm8NprFXV2t/zuNal3ZnCggPZ+CSJUQlJlpceQHk7NhBZnIyxmobX8eEcJXv1TbhGArYz3Vv3UjiaseaWxlQq/58eh8fhm3ZQnRiosXyutuGB2fNorygQKPohBBakc4Z7Vh5M5tWjNXVHJg6lbPWCvMmJjJwyRK8AwM1ik4I4UkkcQmXqbx8mewZMxr1NgSISkxk6IYNUphXCHFdkriES1VeusTeUaPIlcK8QogWksQlXM5YXc3BpgrzLl0qhXmFEDZJ4hKaKC8oIGv8eOuFeePjTYV5Q0M1ik4I4c4kcQnNGK5eZd/EieRkZFgsr1+Y18fO3kZCiLZPEpfQVPWVK9duGxqNFuuik5IYsmYNXv7W5mAWQrRXkriE5iouXGBPcjK5u3ZZLK/rsBG7aRMBEREaRSeEcDeSuIRbUAaDqat8enrjwryJiQxcvBi9r6+GEQoh3IUkLuE2KgoL2T9lCjk7dlgd5zVs82Z8OzujzLAQwpNI4hJupbqkhKyxY62O84pOTOSu5cvx69pVo+iEEO5AEpdwOzUVFRycPbvROC+AHiNGcNfy5TKflxDtmCQu4ZbK8/PJHD2a3J07G62LSkhg2ObNBISHaxCZEEJrkriE2zJWVbHfVmHe2pmUpTCvEO2PJC7h1qpqC/Pa6rAxdMMGfIKCNIpOCKEFSVzC7VVeukRmcrLNwrxD1q6VwrxCtCOSuIRHaKowb3RSEoNSU6UwrxDthCQu4THMhXmt3TZMSJDCvEK0E5K4hEcxXL1K1sSJ5DS8bVivMK9vSIhG0QkhXEESl/A4htJSDs6aZbMw72ApzCtEmyaJS3ikJgvzxscTu3GjFOYVoo2SxCU8VpOFeZOSpDCvEG2UJC7h0SoKCzkwdar1mZTrCvN26qRNcEIIp5DEJTxeVXExe8eMsV2Yd+VKKcwrRBsiiUu0CU0W5k1K4q7ly2WclxBthCQu0WbUFeZt2FUeICo+nrgtW/CXwrxCeDxJXKJNMVZVccBaYV69/lph3g4dNIpOCOEIOtXwvooHKCkpIUQGmYom+HXtyl3LlxMVH49Of+37mVKK3F27yBo3E0OZhgF6hLLaJoTzFBcXExwcbN+LlB3+8pe/qDvuuEMFBQWpsLAwNWLECPWvf/3LYpvy8nL10EMPqS5duqgOHTqokSNHqry8PIttcnJy1L333qsCAgJUWFiYeuqpp1R1dXWz4yguLlaANGlNNp23txqenq5mK2XRUoxGFZdeo/zDaxRIs922KZik4C7NP0tpbbcVFxfbk4aUUkrZdaswOzubuXPn8tFHH5GZmUl1dTVxcXGUlV37Vvb444+zY8cO0tLSyM7O5rvvvmPkyJHm9TU1NcTHx1NVVcWhQ4dYuXIlK1as4JlnnrEnFCGuSxkMZKekWB3n1SNJz6AlenTeekx3zKU1bvcBq4FVwFB7T78QzmN3qqunoKBAASo7O1sppVRRUZHy8fFRaWlp5m1OnTqlAHX48GGllFK7d+9Wer3e4ips0aJFKjg4WFVWVjbruHLFJc2e5t2hgxqekaFSjEbLK68apYZnKOXXVSmQ1nSbo/nnKK1tNqdfcTVUXFwMQJcuXQA4cuQI1dXVxMbGmrfp2bMnUVFRHD58GIDDhw/Tu3dvIuqV4xk+fDglJSV8+eWXVo9TWVlJSUmJRROiuQxlZWSNn0XODmWxXKeH6EQYtAx8QzQKzmMMB+x8DiGEk7Q4cRmNRh577DF+/vOf06tXLwDy8vLw9fWlU4NKBREREeTl5Zm3iWhQQ67u57ptGlq4cCEhISHmdtNNN7U0bNFOGcrgYArkZICyrMtLjyQYvBr0ftrE5hlGAJ20DkIIoBWJa+7cuXzxxRds2LDBkfFYtWDBAoqLi83t3LlzTj+maHsqCmBPMuTsbLwuKgGGbYIAqcsrhNtrUeKaN28eO3fuZP/+/dx4443m5ZGRkVRVVVFUVGSxfX5+PpGRkeZt8vPzG62vW2eNn58fwcHBFk2IllAGyJ4BZy2HeaHTQXQSDFwMXnLlJYRbs6sGjlKKhx9+mG3btnHgwAFuvvlmi/X9+vXDx8eHrKwskpOTATh9+jS5ubnExMQAEBMTw5///GcKCgoIr61ikJmZSXBwMLfddpsj3pMQTaq8CAemmm4PRiWYkladqESI3Qz7J12iqrhIsxi1cSMg1fSFB7CnJ8eDDz6oQkJC1IEDB9T58+fN7erVq+Zt5syZo6KiotS+ffvUZ599pmJiYlRMTIx5vcFgUL169VJxcXHq2LFj6r333lNhYWFqwYIFzY5DehVKs7+FK9PYpGs95fR+Sg1PV43Gec1WSsVt3678unZ1g7hd2b6wOD+Wzaggyg1ilNbWWkt6FdqVuGwdePny5eZt6gYgd+7cWQUGBqr7779fnT9/3mI/Z8+eVffcc48KCAhQoaGh6sknn5QByNKc3BonLlAqIEKpuHSlUoyNk9fwjAyl8/Z2g9hd1SRxSXN9a0nikpJPop0IB85j7bGu3g+GpZm6xtenjEZyd+4kOyWFioICl0SprS+A222sU0APINdl0Yj2oSUln6TIrmj3jJWwf/Ilm4V5B0lhXiHciiQuIYCq4iKyZ84kZ8cOlNFyoFdUYiJD16+X5CWEm5DEJUStyosX2TNyJDk7LQd66XQ6ohISGLJuncznJYQbkMQlRD3KYODgrFmcbTCTsqkwr+m2od7HR8MIhRCSuIRooOLCBfZNmEDuzp007LsUlZDAsC1b8OvaVaPohBCSuISwwlSYdzw5O3ZYLNfp9UQnJjJo6VJ8G9TkFEK4hiQuIWwwlJVxMCXFdNuwQYeNHiNGMHjVKvS+UmlCCFeTxCVEEyoKCshMTiZ3165G66ISEhiWlkZAhFTmFcKVJHEJcR3KYODA9OmNx3npdEQnJTFwyRK8/P01ik6I9kcSlxDNUHnxIgemTTON87LSYSN20yZ8pZqLEC4hiUuIZqoqKiJz1KjGHTZqx3ndtXIl/qGhGkUnRPth17QmQrR3xqoq3k9JQYepooaudk4UnU5HjxEj0On17Bk5EmUwaBuoEG2YXHEJYafyggL2jh1rfZxXfDxxW7fiHxamUXRCtH2SuIRogZqKCvZPnkxORobF8rpxXgNTU/EJCtIoOiHaNklcQrRQVXHxtfJQDcZ5RScmMmTdOrwDAzWKToi2SxKXEK1QUVhoGudlozDv0PXrCZDCvEI4lCQuIVpJGQxk2yjMG52UxMDUVCnMK4QDSeISwgEqLlxg/8SJTRfm7dJFo+iEaFskcQnhINWlpWSNG9e4w4ZOZyrMu2wZvp07axSdEG2HJC4hHMhw9SoHZ88mp8FtQ6gtzLtypRTmFaKVJHEJ4WAVBQVkjhrVqMMG1N423LxZCvMK0QqSuIRwAmN1NQemTbNemDcxkYGLF0thXiFaSBKXEE5SeemSqaq8lduGUYmJxG7ahE9wsEbRCeG5JHEJ4URVly+zd/Rocm0U5h28apWUhxLCTpK4hHAyY1WV1Q4bdYV5By1dis5b6l0L0VySuIRwgfL8/KYL827ZIldeQjSTJC4hXKSmooJ9kyZZL8xbW2HDp2NHjaITwnNI4hLChapLSjg4a5ZpJmVrhXnXrpXCvEJchyQuIVysorCQPSNH2i7Mu2GDjPMSogmSuITQQJOFeRMTGbhkiRTmFcIGSVxCaKTiwgX2T5pE7o4dUphXCDtI4hJCQ9VXrrB33Dir47zqCvP6SWFeISxI4hJCYzXl5RxMSbFZmPeuVaukMK8Q9UjiEsINlDdVmDc+3lSYV2ZSFgKQxCWE2zAX5t2+3WJ5/Q4bXgEB2gQnhBuRxCWEG6m8dIkDM2bYLsy7caMU5hXtniQuIdxM1eXL7B01ymZh3iGrV0t5KNGuSeISwg0Zq6utdtjQ6XREJyVJYV7RrkniEsJNlRcUsHfcOFN5KCnMK4SZJC4h3FhNeTn7r1eYV555iXZGEpcQbq76yhVTYd6MDJuFeaW3oWhPJHEJ4QEqCgvZk5xsvTBvfDyxGzfKOC/RbkjiEsJDmAvzpqdLYV7RrkniEsKDVFy4wP7Jk6132EhMNBXmldqGoo2TxCWEh6m+coWspgrzrlghVeVFmyaJSwgP1GRh3qQk7lq5Um4bijZLEpcQHqquMG9OgysvkMK8om2TxCWEB2uyMG9SEgOXLME7MFCb4IRwEklcQni4qsuXyZ4xw2aHjaEbN+LTsaNG0QnheJK4hGgDKi9fJjM52Xph3vh4hqxZI+WhRJshiUuINqKuMK/VcV5JSQxKTZXCvKJNkMQlRBtSXlBA1vjx5Fq7bZiQIIV5RZsgiUuINqamvJx9kyY16m1YV5h3kBTmFR5OEpcQbVBThXmj6grz+vtrFJ0QrSOJS4g2quLCBfYkJ5PTVGHeiAiNohOi5SRxCdGGKYOBgzNn2uywMXDxYvS+vhpGKIT9JHEJ0cZVFBayf8oUcnfutFmY11cK8woPIolLiHaguqSEvWPGWC/Mm5DAXVKYV3gQSVxCtBM1FRUcnD2bs7YK867ohl7q8goPIIlLiHakPD+fvaNHWy/MmwDDNkOA1OUVbk4SlxDtjLGqigNTp3I2Pd1iuU4H0UkwMBW8pS6vcGNS/0UIAG4EvtA6CJepKoLsGV3QrYCoeNDV+woblQBDN8K+8VBdqlWEQjRB2eGtt95SvXv3Vh07dlQdO3ZUP/3pT9Xu3bvN68vLy9VDDz2kunTpojp06KBGjhyp8vLyLPaRk5Oj7r33XhUQEKDCwsLUU089paqrq+0JQxUXFytAmjQ7WriCGgVKWr2m91EqLl2p2cqypRhNy/3D6rY1Kohyg89RWltrxcXFdv39V0opu24V3njjjbzwwgscOXKEzz77jCFDhjBixAi+/PJLAB5//HF27NhBWloa2dnZfPfdd4wcOdL8+pqaGuLj46mqquLQoUOsXLmSFStW8Mwzz9gThhDCQYzVcDAFzqZD/f4aOh30SIJBqaCT+zLC3did6hro3LmzSk1NVUVFRcrHx0elpaWZ1506dUoB6vDhw0oppXbv3q30er3FVdiiRYtUcHCwqqysbPYx5YpLmv1Nrriaat6BSg3PMF1pWVx51ZiW+4fKFZc05zSnX3HVV1NTw4YNGygrKyMmJoYjR45QXV1NbGyseZuePXsSFRXF4cOHATh8+DC9e/cmol6ZmeHDh1NSUmK+arOmsrKSkpISiyaEfcqADK2DcFuGq7BvAuQ06Gyo00N0IgxcCr4h2sQmREN2J66TJ08SFBSEn58fc+bMYdu2bdx2223k5eXh6+tLp06dLLaPiIggLy8PgLy8PIukVbe+bp0tCxcuJCQkxNxuuukme8MW7V4ZsEXrINxadSkcnAVnM0BZ1uUlOhEGr35DCvMKt2B34vrhD3/IsWPH+Pjjj3nwwQeZOnUqX331lTNiM1uwYAHFxcXmdu7cOaceT7RV52qbsKXiAmQmQ45lXV5TYd6EBCnMK9yC3Y9dfX19+f73vw9Av379+PTTT3n11VcZO3YsVVVVFBUVWVx15efnExkZCUBkZCSffPKJxf7y8/PN62zx8/PDz8/P3lCFaCAbmAbcCtwNjNA0GnelDHBwJpBqGtel0+mAeoV5dToyR43CWFWlbaCi3Wp1fyGj0UhlZSX9+vXDx8eHrKwskpOTATh9+jS5ubnExMQAEBMTw5///GcKCgoIDzcNz8/MzCQ4OJjbbruttaEI0Qz7att6oJO2obixikI4MNV0ezAqIcGcvMA0k/KwLVvYP3kyVUVF2gUp2i97enLMnz9fZWdnqzNnzqgTJ06o+fPnK51Op/bs2aOUUmrOnDkqKipK7du3T3322WcqJiZGxcTEmF9vMBhUr169VFxcnDp27Jh67733VFhYmFqwYIFdPUqkV6E0aa5pXv7+Ki49vdE4r9lKqbjt25Vf166axyjNs1tLehXalbhmzJihoqOjla+vrwoLC1NDhw41Jy2lrg1A7ty5swoMDFT333+/On/+vMU+zp49q+655x4VEBCgQkND1ZNPPikDkKVJc+MWEB6u4tLTVYrR2Ch5Dc/IUHofH81jlOa5rSWJS6dU/WGHnqGkpISQkBCtwxCi3dD7+jJs82aiExMtliujkdxduzg4axblBQUaRSc8WXFxMcHBwXa9RorsCiGuy1hVxf4pUxoX5tXriU5MZGBqKt4dOmgUnWhvJHEJIZqlqqiI7JkzTfN5GS0HekUlJDB0/Xq8g4I0ik60J5K4hBDNVnnxIpnJyeTstBzoVTfOa8jatfiHy4RewrmkfKYQwi7KYOBgSgo6ICox0WKcV4+kJHQ6HXtGjkQZDNoGKtosueISQtitoqCArAkTyN25k4b9u6Li44nbuhX/0FCNohNtnSQuIUSLGMrKyJowgZwMy+LF9Tts+ErvX+EEkriEEC1mKC3lYEqK1Q4bPUaMYPDq1XhJuTbhYJK4hBCtUnHhApnJyeTu2tVoXVRCArFpaVKYVziUJC4hRKspg4HsGTMaj/PS6Uy3DZcsQS9XXsJBJHEJIRyiorCQA1Onmm4bNuywkZDAsLQ0fBvM1ydES0jiEkI4TFVxMXvHjCFnh+VUynVXXnetWIFf164aRSfaChnHJYRwKGNlJe9bGecFpg4bOr1exnmJVpErLiGEw5UXFJA5Zgy5DSpsQL1xXlJhQ7SQJC4hhFMYKyubLsy7ZIkU5hUtIolLCOE0TRXmjU5MNBXmleQl7CSJSwjhVHWFeRveNjQX5l23jgC5bSjsIIlLCOF0ymAgu67CRr2u8nWFeQempqLzlr5ionkkcQkhXKKioIB9tgrzJiQQt3WrdJUXzSKJSwjhMoayMrLGj29cmLd2nNegpUtlkLK4LklcQgiXMpSVcXD2bHJsFeZdtUrKQ4kmSeISQrhcRUEBe5oozDtMCvOKJkjiEkJoQhkMHJg+3XZh3sWLZUoUYZUkLiGEZiovXuTAtGnWC/MmJhKbliaTUYpGJHEJITRVVVTE3tGjybVVmHflSvxDQzWKTrgjSVxCCM0Zq6quddhocOXVY8QIBi1bJuO8hJkkLiGEWyjPz2dvbWHeRrcN4+OJ27JFCvMKQBKXEMKN1FRWsn/y5MbjvPR6opOSTIV5g4I0ik64C0lcQgi3UlVcTPbMmeTs2GG9MO+6dW5RmDdY6wDaMZ1qeE3uAUpKSgiRnkZCtGk6b2/itmwhOinJYrlSitydOzk4axblBQVOjaEn8GMry/XAU8CLNl53ADjvpJjamuLiYoKD7fsaIIlLCOG2/MPDGbhkCdENZlIGyMnIYE9yskNnUg4CXufarajbgDtasJ+9wHe1/74MPA543B9aF5HEJYRoc7yDghi6di1RDZKXMhrJ3bWLA9OnU3nxYov3HwX051rCCgN0Tb7CPjXABcAIjAa+AZx7nehZWpK45BmXEMKtGUpLyRo/vvE4r9qZlActXYpv585277cj8CtgJ5AGRALhODZpAXjV7rs78CGwFnjUCcdpT+SKSwjhEQJqbxtGJSSg01t+587ZuZPM5GSMVVXX3U8gkAKMBX6KNgnEAHwAvAHsBso1iMFdyK1CIUSbpvP2Jm7rVqITEy2WK6XI3bGDg7NnU56fb/W1NwN9gdVAAKYrIa0ZgHPAXOBToFDbcDQhtwqFEG1ak4V5k5JMhXn9/Ru9LgJYBWzD1AHDHZIWgDemhLobeBvw0TYcjyGJSwjhUeoK8+bs2GG9MO+mTebCvIGYbsd9DPzC5ZHa537gFKbnbpLAmiaJSwjhcaqKisgcNcpqYd6ohAQGr1pFSGgorwAPAdFaBGknPfA94K/AkxrH4u4kcQkhPJKtwrx1tw3jly1jure3x/Xe0wHPIj0PmyKJSwjhscrz89k7dqzV24ZB8fG8s2ULJWFhGkXXcv6YqnI8jek5mLAkiUsI4dFqKiqsFuZFr+dEUhKrU1Op6NhRm+BawRf4C6YrL2FJEpcQwuNVl5Tw8axZlO7YAQ0K855ITCR13ToqAwM1iq7ldMAfMD3zkiuvayRxCSE8XiDwUmEhK0eOpM/OnZYrdTpOxseTun49JR44n1cgptuGTyHPvOpI4hJCeLy/ArMAb4OBybNm0Tc9Heo/89LpTLcNlyzB4ON5nc31wPPAI1oH4iYkcQkhPFokkMi1q5HgCxeYMWkSvXfutExemG4bvrNlC6Vdurg6zFbzBZIA+6sytj2SuIQQHutmTAVyG47T8i8tJWXcOPo0GOeFTseJxERWLl9OWQsK82ptCLAEmcRSEpcQwmP1xXZFDL+rV5mckkKfjIzGHTaSklixciUGX1+nx+hoI4FuWgehMUlcQgiPFIipYG5TggsKeGDUqMYdNoATCQm8k5ZGSUSEU+JzFh2wXesgNCaJSwjhkWZjqvJ+Pd7V1UybPt3UYaO+ug4bixdTFdCcPbmPbpiuvNorSVxCCI/TERhD86u8d7h0ianTp5ueeVnpsLF40ybK7ZxaQ0shmDqkNK6D3z5I4hJCeJwHME0CaY8Oly+bbhta6bBxMj6eZatXcyU01FEhOt1UTJ012iNJXEIIjxIFTKFlg3G9q6qYPHu2qcOGlXFeq5YupcbbM2pU6IBfA35aB6IBSVxCCI8yAOjditcH5+eTMnasqcNGw9uGCQm8vWULVzykMO/PgNu1DkIDkriEEB7lNQfsw7eighmTJjW+bVhbmHdVairlHlCY1wd4WesgNCCJSwjhMYJw3B+tgJISpsycaX2cV2IiS9eu9Yjeht60v04akriEEB7jdcCRN/E6FhYyJznZemHehASWbNjg9oV5f0b7q2EoiUsI4TH0OL5CupfBcO3KywML8+pof3/I29v7FUKIRjoWFjZZmPftrVsp88DCvG2VJC4hhEfoCdzmxP0HXLnC7LFjrY/zSkhg5bJlbluY9xeA54xAaz1JXEIIj/Bj4A4nH8O3vPxaYd4GV17HR4wwFeZ1w9uG8bSvwruSuIQQop7rFubdvNnjCvO2NZK4hBCiAe/qaqZNm2a7MO+SJR7RVb6talXieuGFF9DpdDz22GPmZRUVFcydO5euXbsSFBREcnIy+fn5Fq/Lzc0lPj6ewMBAwsPD+dWvfoXBYGhNKEII4VBNFuZNSGDxxo0eMUi5LWpx4vr0009555136NOnj8Xyxx9/nB07dpCWlkZ2djbfffcdI0deK8BfU1NDfHw8VVVVHDp0iJUrV7JixQqeeeaZlr8LIYRwgg6XL/NAcrLNDhvL1qzxmPJQbYpqgStXrqhbb71VZWZmqkGDBqlHH31UKaVUUVGR8vHxUWlpaeZtT506pQB1+PBhpZRSu3fvVnq9XuXl5Zm3WbRokQoODlaVlZXNOn5xcbECpEmT1o7aRFBKo1YcHq7eSE9Xs41GNVspi/ZGeroyeHtrFltd6+sGn1FLWnFxsd05qEVXXHPnziU+Pp7Y2FiL5UeOHKG6utpiec+ePYmKiuLw4cMAHD58mN69exNR7+Hm8OHDKSkp4csvv7R6vMrKSkpKSiyaEKL9CAae0vL4BQWkjBtnfZxXQgKLtm7V/Mrrz5oe3bXsTlwbNmzg888/Z+HChY3W5eXl4evrS6dOnSyWR0REkJeXZ94mokGPnLqf67ZpaOHChYSEhJjbTTfdZG/YQggPVgK8qHEMvuXlzJw40Wph3pOJiabCvBpORrlAsyO7nl2J69y5czz66KOsXbsWf3/XlXVcsGABxcXF5nbu3DmXHVsIIeoEXLnClFmzbBfmXbNGehu6gF2J68iRIxQUFPCTn/wEb29vvL29yc7O5rXXXsPb25uIiAiqqqooKiqyeF1+fj6RkZEAREZGNuplWPdz3TYN+fn5ERwcbNGEEEILHS9cuG5h3mIZ5+VUdiWuoUOHcvLkSY4dO2Zud9xxBxMnTjT/28fHh6ysLPNrTp8+TW5uLjExMQDExMRw8uRJCgoKzNtkZmYSHBzMbbc5s6CLEEI4hpfBcO3KywML83o8u7tzNFC/V6FSSs2ZM0dFRUWpffv2qc8++0zFxMSomJgY83qDwaB69eql4uLi1LFjx9R7772nwsLC1IIFC5p9TOlVKE1a+2vj0bbXnrV2NThYvZ6R0bi3odGo3sjIUKWdO7sslt5u8Bm1pLmsV2FT/vGPf5CQkEBycjIDBw4kMjKSrVu3mtd7eXmxc+dOvLy8iImJYdKkSUyZMoU//OEPjg5FCCGcKqCkxGZh3hOJiaxcvpxSqSrveHanOjcgV1xtr/n5+akXXnhBeXt7ax6LtKZbQECA+tOf/qS8vLxcetxIUJlof5VlrTU5zisjQ1X7+Dj1+EtBBbnB70ZLmltccQlhr27dupGRkcFTTz3F4sWLCQkJ0TokYcONN97Ie++9x/z583nttdfo0KGDy46dB3znsqPZ53qFed/essWpMyl/DZQ6be9uyMEXQy4hV1xtpwUHB6vdu3dbfL7Lli1Ter1e89ikWbauXbuqrKwsi8/q9ddfd2kMK9H+6qqpVtq5s3pz+/ZGV111FTYqAgOdctz5bvD70dLWkiuudp+4fvnLX6oFCxYoHx8fzT9Aay0oKEgtW7ZMhYeHax6Lo1twcLDas2ePMhqNymg0qsLCQqWUqQPP4sWLVWBgoOYxumMLCgpSK1euVF27dnXZMUNCQtQHH3yglFIWn1V1dbV69dVXVUBAgEvieAWUAe0TVFPtSpcu1m8bGo3q9YwMVd6xo0OPVwFqrot+D5zRJHHZ2YYMGaKuXLmijEaj+v3vf690Op3mH2L91rlzZ5WWlqaMRqM6evSo6tmzp+YxOap169ZNvfvuu8poNCqllMrKylK33367OnLkiFLK9Mdx+fLlqkOHDprH6k4tNDRUbdu2TRmNRvXJJ5+oW2+91enHrOslXPdZ7d69W/Xp00edOHHC/Fm9/fbbys/Pz+mx6ECdR/vkdL1W7eNjSl5KNe5tmJ6uisPCHHasA04+585u8ozLTg888ABBQUHodDqeeOIJ9Hr3OR16vZ63336bUaNGAWAwGNrU1C81NTVUVVWZf/bz88PHxwefemNfKisrUUppEZ7buuWWW7jvvvvQ6XTceeedDBw40OnHNBgMVj8rb29v87KKigqXfFYKMF53K+15V1dbn0m5dpzXqqVLqal3/lrKU86Hw7X68kcDjrri2rhxo3mfly9fdnkvKVutS5cuatOmTaqmpkYppdTRo0dV586dNY/L0S0wMFBlZGSYbxXWffMyGAzq1Vdfdck3eE9r/fv3t/hvYcaMGS77rPbu3auUUhafVVVVlXrhhReUr6+vy87Bz9D+iqq5rSIw0Po4r5oa9UZGhioJDW3V/isx9bbU+veyNU1uFdrZ3DFxBQYGqk2bNpnj+uCDD1SPHj00j8tZrWPHjmr79u0Wn+9bb70lnTNstIaJa+bMmS47dpcuXdS7775rcfyXXnrJ5ecgHPftFm+tlXfsaLvDxvbt6mpwcIv3vRqUj4vPv6ObJC47m7slLn9/f7Vx40bzFcjRo0dVVFSU5r9Yzm5hYWEqPT1dVVVVqbfeeksFBQVpHpO7Ni0TF6AiIyPVnj17VFVVlfr73//usk4ZDdsjoKrRPik1t5WEhZmeedXUWK2wUenvb//VHKg4Dc69o5skLjubOyWurl27mjtiKKXUJ5980iZvD9pq3t7e6tlnn5Urres0rRMXoHx9fdXvfvc7TTsz6UDtR/uEZE8zeHurNzIyrHbYeD0jQxVHRNi1vzdqz4PWv5OtbdI5w0N5eXmxaNEic0eMjz/+mAkTJnD58mWNI3Mdg8HA888/j9HYLh81e5Sqqir+9Kc/oZTSLAYFvAF4UnclL4OBKTNm0Cc93ZR66uh0nExMZPXixRh8fZu1rwvAOkznoT2SxKWxkJAQ1q1bR3JyMgAnTpwgISGBb775RuPIhHBvuwFPm5mvY2EhM6ZMMdU2bJD4TyQm8s7mzZR17nzd/ZwCDjkpRk8giUtDwcHBLFmyhDFjxqDX6/nwww+59957KSws1Do0IdxeOTBX6yBaoFmFebt2tfl6BUx1bohuTxKXRry9vVmyZAmjR49GKcXnn3/OlClT+O47d63GJoT7+RTYgueNZfKpqGDy7NmNx3kBx0eMYMXy5Vbn86oBXgPyG61pXyRxaaBr166sW7fO/Ezr6NGjDB06lG+//VbjyITwLIXAeMAT/8sJzs/ngdGjrRbmPZmQwDubNzcqzPsu8BSmq832TBKXi/n6+rJo0SJGjx6NXq/n0KFDjBkzhqKiIq1DE8IjVQPv4JkdFbyrqpg2dSp909MtV9SbSbkyMBCACmAFntUhxVkkcblQhw4dWLVqlflK6/jx44waNYr//Oc/GkcmhGd7FViA6Y+7p+lw+bKpt6GNDhtLNmygMCiIyZhuiwpJXC7TpUsXVqxYwZgxY9DpdHz00UcMGzaM8+fPax2aEB6vGvgrMB+ous627ijo0iUeSE622mHjZEICk9euZWdYmDbBuSFJXC7QsGDuZ599xuTJk7lw4YLGkQnRtrwGPIuH3jZsojBvVFISg1JT0TmgMG9bIInLybp06cL69estxmnFxcXJOC0hnEABf8PUgeGqxrG0RHBBAbPGj7d62zAqIYG4rVvxDw3VKDr3IYnLiTp06MDbb79tMU5rxIgR7aoihhCuZgBeBp7B87rJA/hdvcq4iRPJaXDbUKfXE52YyMDUVHxDQjSKzj1I4nISPz8/li1bxqhRo1BKcezYMSZMmEBOTo7WoQnRLrwK/BbPe+ZVATxYWkr2rFnkZGSgGpRBi05KYvCaNXj5+2sToBuQxOUEXbt2Zc2aNYwePRqdTseRI0cYMmQIubm5WocmRLthwNRh49dAlsaxNEcNsBOYBKQBFRcusCc5mdxduyy20+l0RMXHE7txIwERERpEqj150udgXl5evPXWWxYFcydPnuxWtwcTEhI4fvw4587ZV+nt6aefJjo6+rrbpaam8vnnn9u1b51Ox7x583j99dftep0jjB07lkGDBjV7+y+//JI333zTafEMHTrU/Ey0oYgGf6gmTZpEv379rrvP3bt3s9PKQNeW8PLy4oEHHuCtt95yyP4aevTRR3n11Vftek3nzp3585//bHO9RTeor76CN95oWXBOUlc0+Cksx2kpg4HsGTMYmJpKdFISOp0OMP33Ep2UxEAgc/RojFWedl3ZSi2cWURT7jqtSUhIiNqwYYN55uJjx46psLAwzacNqN/i4+PV5cuX1alTp1RkZOR1t4+IiFDx8fHqzJkzqqKiolmfz/nz51XPnj2bHVPHjh3V8uXL1dWrV9Uf//hHp8983KNHD/W9731PZWRkqDNnztg9rUJZWZk6c+aMOnz4sPre976nbrnlFodN8TFw4EB18eJFu+JpjsuXL6t777231fHV/Y6XlZWp3/zmNw6d+TgwMFC98sor6urVq+q1115TgYGBTW6v0+nULbfcol5++WV17tw585RA13X1qlJnzig1aJBSYWGaTnWSD+oAqGhQAU28V9+QEDU8I0OlNJhJOcVoVMMzMpRvp05O/W/GmU3m47KzOTJxhYSENJq5uFu3bpr/UtRv3t7eqqioyBzj+vXrbW4bFBSk5s6dq44ePWr351NTU6N++9vfNjuuqVOnWrw+JibG4e89ICBAzZ07V82bN0+VlJTY/Z6aYjAY1FNPPaXmzZvX6i8qb775pkNjq2/lypWtnu/s4Ycftthnr169HPYZxcfHW+w7MTHR5rY//vGP1RNPPKGqq6tbd1I++ECphx5SytfXpQmrAtN8Wj+z4/x4+fur4enpVmdSjktPV35duzr8vxtXtJYkLrlV6ABeXl4sXrzYXDD32LFjTJkyxWMHF6ekpDB27FiGDBlivjUBoJSiqhm3JP72t7/x4osvOjPEZtPpdEyfPp1x48YRGxtr8X7qa+578/HxQa+3fDTs5eXFSy+9BMCYMWPYvXs3L774YovmFnv66afx8vJi2rRpVtfr9Xp86hVfNRgM1NTUXHe/aWlpPProo21ivrPVq1fTr18/fvSjH1ksr6mpwWBouiCSTqfDx8fn2u/Bz38OMTEwYgSsXg1r19KwG7qjKEwDpTcBq4HM2mXNVVNRwcHZsxkIRCUmWvwu90hKQrd8OXtGjkRd5xy0Ca37uqINd7ri6tq1q9q4caP59uDnn3+uOrnpZXtzrrg6d+5sceVY58yZM2rHjh2qY8eOqkOHDk02e8+jM6+4fvGLX6jKykqbv0uFhYXqwIEDasOGDdd9Xx06dFCvv/66OnDggPrvf/9rc5/V1dVqwoQJLY7Zx8fH5vEHDRpkcayHHnqoWXH7+Pg45HxqfcXVs2dPq7dSP/74Y/X0009f9zx06dJF7dmzR507d67xB1dZqY7/5CfKiOOvrg6A2gcqEpRPK8+T3tdXxVm58kqpqVHD09OVf3i4wz4TVzS54nIxPz8/c8FcgA8//JApU6Z4bMFcHx8f3njjDfP7ATAajfzhD38gMzOTQ4c8a+o6Ly8vZs6cia+VWWX379/PP//5T7755hu2bGl+BbiHH34YgNjYWPr168eAAQO4//77Lbbx9vZm/PjxZGRkUFpaanfc1dXVVFdXW11XXm5ZF7yyspKysjK7j+GJ+vbty5o1a+jSpYt52b/+9S9WrFjB4sWLm9UBqqysjLi4OIYMGUJsbCzz58+/duXi68vnKSmse+gh6q66fgEktCDWZcC/a/99BXBkNxZjVRUHpk7lrhUr6DFihHm5Tq83d9jYN2EChrb8e2F3qnMD7nDF1aFDB7Vx40bzA+Fjx46p7t27a/7tpanW1BVXYGCgWrVqlfnK8cKFC2rZsmWqV69erX4ucr3mrCuusLAwVVpaat7v1atX1aOPPqp69+6tIiIiHHKMLl26qN69e6tx48ZZHMtoNKof/ehHDj9X/fv3tzhXM2fOdOnvkFZXXD169FBnz55VSpmuaPPy8tSkSZNUjx49Wnw8Hx8f9fTTT6vy8nLzMS9evGjx+x4KqreV1hfUThvreoMKcsFn4de1q6nDRk1N4w4bO3Yo7w4dXPq70dImnTPsbC1NXF26dFFpaWnmpPXRRx+p0NBQzX8BrtdsJa6QkBC1bt068/v55JNPXNqxxFmJa8eOHeb3dPXqVTVnzhynvo9Ro0apwsJC8/s4ceKEw4/RHhPX//3f/6lvv/1WGY1GZTQa1csvv+ywXpyA2rJli/mYV65cUYMGDXLpOW1N03l7W+2wkWI0qjgPuW3YksQlA5DtpNfrWbRoEaNGjbIYU2Hrob+70+l0vP7664wfPx6AY8eOMXnyZI/tWFJn2LBh/PjHPzZ/LsXFxbzzzjtOPebmzZs5e/YsqvY200033cS4ceOcesy27oc//CGrV6/m5ptvBuDtt9/mN7/5jfkcO4LRaDTvLygoiIceeshh+3Y2ZTCQnZLC2fR0i3Oi0+nokZTEoCVL2mRhXklcdujcuTPr1683Dy6u079/f/bu3csNN9ygUWQt06lTJ1atWsWECRMA+Oqrrxg2bBinT5/WOLLW8fX1ZciQIRafx5gxYxz6x86WsWPHmnvuderUieHDhxMUFOT047ZFt956K/v27aNXr14YDAZeeeUVHn/8cSoqHDvr1uzZsykuLjb/3KlTJ4vnaO6uoqCAfRMnkrtzZ6Pf8brCvH5du2oUnXNI4mqmDh06sHjxYouCuX//+9/NXZH79OnDr3/9a42jtM/dd9/NpEmT8PLy4qOPPiIpKYnCwkKtw2q1G2+8kfnz55t/3r9/P//+97+beIXjnD9/noyMDPPP06ZNo3///i45dlvz97//ne7duwOmK60nnniCyspKhx+npKTE4g9+XFxcow437s5QVkbW+PE2C/MOWrasTRXmlcTVDL6+vixbtozk5GSUUhw/fpyJEyfy/PPPW/ToSk5OZvDgwRpG2nLvv/8+3377rdZhOITRaLT4Vt6jRw86dOjgkmNfvXqVtWvXcuXKFQwGAytWrODIkSMuOXZbVFNTwxtvvGHxRcQZx3jqqacslvn5+Xnc7X9DWRkHU1KsFubtkZTE4NWr0fv5aRSdY0niug5rBXMHDx5MTk4OV65c4Z577uHs2bMA3HDDDezatcvjkteVK1c4deqU1mE4zNmzZy3+0N18880MHTrUZcffunUrXbt25a9//SszZ860uA0lms9oNPLqq6/y6KOPOr3L/xdffGHx86uvvkq3bt2cekxnqCgoYE9yMjlW6lJGJSQwbNOmNlGYVxJXE7y9vXnrrbfMSevw4cOMHz/eYrzIoUOHmDp1KhcvXgQgICCAZ599VquQW+TcuXMsX75c6zAcKisry+KP0R//+EeXfYNWSlFdXc3vfve7NlGpQitvv/028+fPd8k5PHv2LLt37zb/7OXl5fRjOktdYd6z6ekWy82FeRcvxsvDr7wkcdkQHBzM2rVrzR0xjh8/zogRI6zOXHzw4EG+/vpr88/9+/dn/vz5FqV53JVSyuN7EFrzxRdf8Mknn5j/6IWGhvK3v/1N46iEPd577z2bA7EdraCggE8//dQlx3KFyosXOTB1Kjk7djTusJGYSOzmzR79zEsSlxUhISGkpqaaO2IcOnSIu+++mwsXLth8TVJSEu+//z5guur6y1/+wq9+9StXhdwqkydP1joEp3jwwQe5etU0gbuXlxc///nPefDBBwkICNA4MiGcr6q4mMzRo8lt2GFDpyM6IYG7Vq702N6GkrgaaFgw9/PPP2fKlCnk5eU1+boLFy4wZcoU87c2nU7Hww8/jLebj6G4XlFST1ZdXc0f/vAH888DBgzgzTffZNu2bUybNs0jroiFaA1jZSUHZ8/mbEZGoyuvHiNGcNfy5R45zksSVz2hoaGsW7fOfHvw6NGjDB06lP/85z/Nev3Zs2c5cOCAuYt8eHg4mzdvJiwszGkxt9bDDz983aTsqZRS7Nmzx2LCTJ1Ox/Dhw3n77bf573//y1133cUvfvEL/Dz8nr8QtpTn57N3zBhyrXXYiI8nbssW/MPDNYis5Twv1TqJv78/ixYtMo/f+PDDD5k8ebLdBXPnz59PYGAgc+fORa/XM6K2COaECRPMt63cSUVFhUsG5mrl+PHjTJkyhdjYWH7zm9+YO2j4+fkRHh7O/v37AXjrrbfMn3VOTg6LFy/WKmQhHM5YWcn+yZO5a+VKq4V5BwFZHlSYVxJXLX9/f+6//36UUpw8eZIxY8bw3Xff2b0fo9HI008/TWBgINOnTwcgMTGR7t27W+3YoaX33nvPYrBsW3XgwAE++OAD0tLSmD9/PnFxcY0qI9Qv81NaWsqDDz5o/vnFF19k7969gOkqri0M0hbtT1VxMdkzZ6LT64mKj0dXb165qMREhq5fT9b48R6RvORWYQOffPIJQ4cObVHSqlNWVsaePXvM3+B1Oh179uyhb9++DorSMYqKipo1FURbYDAYOH78OOPHj+cnP/kJa9eupaCgwOq2QUFB/N///Z+5rV27lry8PPLy8sjNzWXKlClMmDDBfDUthKeovHiRPSNHNhrnpdPpiEpIYMi6dR5x21CuuGoppfj000+ZPHmyQ75Rb9iwAS8vL1atWoVer+fmm29m9erVjBo1ymXlh4R1OTk5TJo0ibi4OMJr/yP929/+Zn4W2bBocv2fAwICWLlyJWC6Mtu2bRuvvvqqVMcQHkMZDBycNQtSU4muN5NyXWFeHZA5ahRGFw1FaAm54qpVUlLCPffcYzEeq7XWr1/PI488Yv65d+/eDBgwwGH7F62zZ88e1qxZw5o1a7j99tvp1q0b3bp1IzY2lhMnTpibravSoKAgJk+ezN69e8nKyqJ37974+/u7+F0IYb+KCxfYN2GCzcK8w7Zsceuu8nLFVUsp5fDSPEajkUOHDvHll19y++23A7BkyRIqKyvZtGmTQ48lWqeu8gnAvn37LG7rjh49mp/85CeAqW7lI488YjHMoVOnTgwZMoQTJ07w2muvkZWV1S6eHQrPVleYd8i6dfRISjIvNxfmXbqUA9OmUeWGM7pL4nKyo0ePMnr0aPbt20dkZCR+fn689dZbVFZWkt6gJItwT2lpaaSlpQGm+di2b9+OTqcjNTWVqKgoi670jzzyCOPGjaOyspJ//vOfWoUsRLPUFeYFiE5IsOiw0WPECAavWmW6bVhVpVWIVsmtQhc4deoUSfW+0XTt2pVhw4ZJBQcPZDQaef/99zl48CC33347o0ePZvfu3RalicLDw4mLi5OxYcIjVBQUkJmcTO6uXY3WRSUkMCwtze0K80ricpEzZ86wo17plYceeog//vGPGkYkWqu6upodO3aQkJDAvHnzLK6wHn/8cTp37qxhdEI0nzIYODB9uu3CvEuW4OVGz28lcblIYWEhU6ZMYWftw1CdTscjjzzCc889p3VoopWUUixevJjMzEyLiQ7reh8K4QkqL17kwLRp1gvzJiQQu2mT2xTmlcTlQkVFRYwfP958W8nHx4e77rqL6OhojSMTjvD3v/+dL7/8EjB9U+3Vqxc//elPNY5KiOarKioic9SoxjMp147zumvlSvxDQzWK7hpJXC5WXl7OwoULzdNtDBo0iLVr17pshl7hXM8995z5s+3evTujRo3yuJl0RftmrKri/bqZlOtdeel0OnqMGMGgZcs0L8wricvFampq+NOf/sTvfvc78/TyP/vZz9i8ebPGkQlHOHjwIKdPnzb/PG/ePH75y19qGJEQ9isvKGDv2LHWx3nFxxO3dSv+GhYPl8SlAYPBwMKFC80TOOp0Om677TYGDhyocWSitYqLi3n++efNP/v5+Tl1apv77ruP4OBgp+1ftF81FRXsnzyZnAZjEuvGeQ1MTcUnKEiT2CRxaWj27NmUlpYCEBUVxbp167jjjjs0jqpt8Pf357XXXuPGG29sU8MODAaDxSwD8fHxkriE01QVF3Nw1izTfF61t8DrRCcmMmTdOrwDA10elyQuDe3du5fk5GT+97//AXDDDTewY8cOeSbSSh06dOCtt95i3rx55OTkWJTd8nSff/45L730ksWywYMHaxSNaA8qCgtN47xsFOYdun49AS4uzCuJS2N79uzhyJEj5vvIISEhPPDAAxpH5dkiIiKYNm0aOp0OvV7P6NGjufHGG11y7KCgIObMmWP+WSnl8PnOjEajeZ86nY7f/va3Dt2/EA0pg4HsuiuvBh02opOSGJiait6FM4pL4nIDM2fO5NSpU4Cp+vjLL7/MI488gpeXl8aReaacnBx+97vfmX/u168fP/7xj11y7B/+8IcWzyoXLVrEhx9+6NBjvPzyyxw9etT8s6+vL5GRkQ49hhANVVy4wP6JE5suzNtgnjtnkcTlBgoLC0lISOCjjz4CTMnrH//4B13duDqzO6upqeHAgQP85z//MS9bsmSJS27BLl68GH1tvbcLFy6wa9cuqhxc5620tNSixNTNN9/Mr3/9a4ceQwhrqktLyRo3rnGHDZ3OVJh32TJ8XVAxRhKXmzhz5gx79uwxjwHS6XT87W9/w8eFl99tyaFDhzh+/Lj5m2Hnzp357W9/67SrWL1ezwMPPMCtt94KmG4R5uTksHv3bqcc7+mnn6ampsb8s4+PjzlhCuFMhqtXOTh7dqNxXlBbmHflSvS+vk6NQX7T3cgf/vAHli9fbi4JNXHiRFasWCE171poypQplNVOQ+7r68tzzz3HH//4R+6++25+8IMfOOQYN910E3fffTePPPIIb7zxBh07djSvGzlypEOOYU39pAwwZ84cnnzySUlewiUqCgrIHDWqUYcNqL1tuHmzUwvz2vVb/txzz5lng61rPXv2NK+vqKhg7ty5dO3alaCgIJKTk8nPz7fYR25uLvHx8QQGBhIeHs6vfvUrDAaDY96Nh6upqeHhhx9m1apVgOlb/IQJE+jdu7fGkXmm8vJy3nnnHfPPXl5eLFiwgHfffZc1a9bwyiuvkFI7pYO9kpOTeeWVV1ixYgXvvvsu//jHPyzGa61du9Ziji9HKy8vt6iF6O3tzV/+8hdee+016WUoXMJYXc2BadOsF+ZNTGTg4sVOK8xr98jI22+/nb17917bQb3/WB9//HF27dpFWloaISEhzJs3j5EjR5ofTtfU1BAfH09kZCSHDh3i/PnzTJkyBR8fH/7yl7844O14vvLycrZt28aoUaPMZaBSU1MZNGiQecCyaB6j0UhaWhqzZs0ipEFx0DvvvJM777yT0tJSnnrqKfLy8pg8efJ19/n3v/+dPn36EB4eTqdOnaxuU1ZWxvbt2y3GWzlaZWUlW7duZezYsQTVDgL19vZm7ty5jBkzhm+++YZx48ZZfe2lS5fM4weFaI3KS5c4MH06d61YQXRiosVz5KjERGI3bWLfpElUl5Q49sDKDs8++6zq27ev1XVFRUXKx8dHpaWlmZedOnVKAerw4cNKKaV2796t9Hq9ysvLM2+zaNEiFRwcrCorK5sdR3FxsQJa3TZu3Gje5+XLl5WXl5dD9uuINmPGDHX16lWllFJGo1EdP35c3Xbbba3ap7e3tyoqKjK/5/Xr12v+PgE1depUi883JibGofu///771apVq5TRaLT5O2U0GpvdmrJ582Y1a9Ysl527yZMnqw0bNtj1flavXq2CgoJadLyHH37Y4ji9evVy2HuJj4+32HdiYqJLfw+fe+45i/PXvXt3lx7fk5ve11cNT09Xs5WyaClGo4rbvl35h4XZfG1xcXGT/01ZY/cN8a+//pru3btzyy23MHHiRHJzcwE4cuQI1dXVxMbGmrft2bMnUVFRHD58GIDDhw/Tu3dvIurd+xw+fDglJSXmqtrWVFZWUlJSYtEcof54mPoPut3BsmXLePLJJ4FrlcYHDRrU6v3WvU+llNu8Z6WUuVNK/c/EUbZt20ZKSgojR44kOTmZixcvYjAYGo1HaW6rH7fBYKCyspKJEycycuRIZs6cSWpqqkPjb8rq1auZNWsWI0eO5MiRI+bPtKn4J06cyD/+8Y8WHc9oNJo/q5qaGod+Vs7+Pbie+sc0NqgSIZpmrKqy2mHDXJh36VLHFua1J8vt3r1bbdq0SR0/fly99957KiYmRkVFRamSkhK1du1a5evr2+g1d955p/r1r3+tlFIqJSVFxcXFWawvKytTgNq9e7fN4z777LNO+ZYQFBSkPvjgA3Xu3DnVv39/zb+1NGzf//731aFDh9SlS5fUq6++qnx9fVu9zwEDBqhz586p999/X3Xo0EHz9wgoHx8f9cILL6jLly+refPmOf3Kt2PHjiokJEQtXrxYHTp0SJ0/f96e/wzUpUuX1KFDh9S2bdtUSEiICg4O1vwcAqpDhw7qrrvuUocOHVJlZWU24//mm2/ULbfc0qJj+Pr6qtdee01dunRJzZw5U+n1eofF7+3trRYsWKCKiorUb3/7W+Xt7e3S8+fn56fWrFmjLly4oMaMGaN0Op3mn6mnNS9/fzU8I0OlGI2WV141NWp4errVK6+WXHHplGr515qioiKio6N5+eWXCQgIYPr06RYT6QH079+fwYMH89e//pXZs2eTk5NjMVPs1atX6dChA7t37+aee+6xepzKykqL/ZaUlHDTTTe1NGwL3bp14wc/+AHZ2dkO2Z8zjBs3jk2bNjnsW+CgQYM4ffo0eXl5DtmfI+h0OsaPH8+6detcfuy7776bO++8s9nbf/3112zYsMGJEbXenDlzCLNRvXvXrl18/vnnLd63l5cXo0ePdto5mDRpEmvWrHHKvq/H39+fe+65h23btmly/LbAJziYwatW0WPEiEbrzmZksH/SJKqvXDEvKy4utr/ept2proE77rhDzZ8/X2VlZSlAXb582WJ9VFSUevnll5VSSv3+979v9Izs22+/VYD6/PPPm31MRz3jkiZNmjRpjm/+oaGmK6+amkbPvIZnZCjvwEDzti55xlVfaWkp//nPf+jWrRv9+vXDx8eHrKws8/rTp0+Tm5tLTEwMADExMZw8eZKCggLzNpmZmQQHB3Pbbbe1JhQhhBBuoqKwkD0jR9ouzLthQ+vm87Inyz355JPqwIED6syZM+rDDz9UsbGxKjQ0VBUUFCillJozZ46KiopS+/btU5999pmKiYlRMTEx5tcbDAbVq1cvFRcXp44dO6bee+89FRYWphYsWGBXtpUrLmnSpElz/+YfFqbi0tMbPfOarZSK3bJFQcuuuOxKXGPHjlXdunVTvr6+6oYbblBjx45V33zzjXl9eXm5euihh1Tnzp1VYGCguv/++xs9+D579qy65557VEBAgAoNDVVPPvmkqq6utitoSVzSpEmT5hnNp2NHNdxK8ppW+3fc5Z0ztFJSUtJoQKkQQgj35BUQQOyGDUQnJZmXVZWUsCIkpEWdMzyysJkH5lohhGi3asrLyZ45k2+3bKGqpMTcoGV/zz3yiuvbb7/le9/7ntZhCCGEaKVz587ZPdGrA4cyu06X2snKcnNz5ZahDXVj3c6dO2f/GIl2QM5P0+T8NE3OT9Oac36UUly5coXu3bvbvX+PTFx1UzeEhITIL811BAcHyzlqgpyfpsn5aZqcn6Zd7/y09MLDI59xCSGEaL8kcQkhhPAoHpm4/Pz8ePbZZ/Hz89M6FLcl56hpcn6aJuenaXJ+mubs8+ORvQqFEEK0Xx55xSWEEKL9ksQlhBDCo0jiEkII4VEkcQkhhPAoHpm43nzzTXr06IG/vz8DBgzgk08+0Toklzh48CCJiYl0794dnU7H9u3bLdYrpXjmmWfo1q0bAQEBxMbG8vXXX1tsc+nSJSZOnEhwcDCdOnVi5syZlJaWuvBdOM/ChQu588476dixI+Hh4dx3332cPn3aYpuKigrmzp1L165dCQoKIjk5mfz8fIttcnNziY+PJzAwkPDwcH71q19hMBhc+VacYtGiRfTp08c8KDQmJoZ3333XvL49nxtrXnjhBXQ6HY899ph5WXs+R8899xw6nc6i9ezZ07zepefG7nryGtuwYYPy9fVVy5YtU19++aVKSUlRnTp1Uvn5+VqH5nS7d+9Wv/3tb9XWrVsVoLZt22ax/oUXXlAhISFq+/bt6vjx4yopKUndfPPNqry83LzN3Xffrfr27as++ugj9f7776vvf//7avz48S5+J84xfPhwtXz5cvXFF1+oY8eOqXvvvVdFRUWp0tJS8zZz5sxRN910k8rKylKfffaZ+ulPf6p+9rOfmdfXzRkXGxurjh49qnbv3q1CQ0PtnjPOHWVkZKhdu3apf//73+r06dPqN7/5jfLx8VFffPGFUqp9n5uGPvnkE9WjRw/Vp08f9eijj5qXt+dz9Oyzz6rbb79dnT9/3twuXLhgXu/Kc+Nxiat///5q7ty55p9rampU9+7d1cKFCzWMyvUaJi6j0agiIyPVSy+9ZF5WVFSk/Pz81Pr165VSSn311VcKUJ9++ql5m3fffVfpdDr1v//9z2Wxu0pBQYECVHZ2tlLKdD58fHxUWlqaeZtTp04pQB0+fFgpZfpyoNfrVV5ennmbRYsWqeDgYFVZWenaN+ACnTt3VqmpqXJu6rly5Yq69dZbVWZmpho0aJA5cbX3c/Tss8+qvn37Wl3n6nPjUbcKq6qqOHLkCLGxseZler2e2NhYDh8+rGFk2jtz5gx5eXkW5yYkJIQBAwaYz83hw4fp1KkTd9xxh3mb2NhY9Ho9H3/8sctjdrbi4mLgWlHmI0eOUF1dbXGOevbsSVRUlMU56t27NxEREeZthg8fTklJCV9++aULo3eumpoaNmzYQFlZGTExMXJu6pk7dy7x8fEW5wLk9wfg66+/pnv37txyyy1MnDiR3NxcwPXnxqOK7BYWFlJTU2PxxgEiIiL417/+pVFU7iEvLw/A6rmpW5eXl0d4eLjFem9vb7p06WLepq0wGo089thj/PznP6dXr16A6f37+vrSqVMni20bniNr57Bunac7efIkMTExVFRUEBQUxLZt27jttts4duxYuz83ABs2bODzzz/n008/bbSuvf/+DBgwgBUrVvDDH/6Q8+fP8/zzz/PLX/6SL774wuXnxqMSlxDNNXfuXL744gs++OADrUNxKz/84Q85duwYxcXFbN68malTp5Kdna11WG7h3LlzPProo2RmZuLv7691OG7nnnvuMf+7T58+DBgwgOjoaDZt2kRAQIBLY/GoW4WhoaF4eXk16qmSn59PZGSkRlG5h7r339S5iYyMpKCgwGK9wWDg0qVLber8zZs3j507d7J//36LCeoiIyOpqqqiqKjIYvuG58jaOaxb5+l8fX35/ve/T79+/Vi4cCF9+/bl1VdflXOD6XZXQUEBP/nJT/D29sbb25vs7Gxee+01vL29iYiIaPfnqL5OnTrxgx/8gG+++cblvz8elbh8fX3p168fWVlZ5mVGo5GsrCxiYmI0jEx7N998M5GRkRbnpqSkhI8//th8bmJiYigqKuLIkSPmbfbt24fRaGTAgAEuj9nRlFLMmzePbdu2sW/fPm6++WaL9f369cPHx8fiHJ0+fZrc3FyLc3Ty5EmLBJ+ZmUlwcDC33Xaba96ICxmNRiorK+XcAEOHDuXkyZMcO3bM3O644w4mTpxo/nd7P0f1lZaW8p///Idu3bq5/vfH7q4lGtuwYYPy8/NTK1asUF999ZWaPXu26tSpk0VPlbbqypUr6ujRo+ro0aMKUC+//LI6evSoysnJUUqZusN36tRJpaenqxMnTqgRI0ZY7Q7/4x//WH388cfqgw8+ULfeemub6Q7/4IMPqpCQEHXgwAGLLrtXr141bzNnzhwVFRWl9u3bpz777DMVExOjYmJizOvruuzGxcWpY8eOqffee0+FhYW1ie7M8+fPV9nZ2erMmTPqxIkTav78+Uqn06k9e/Yopdr3ubGlfq9Cpdr3OXryySfVgQMH1JkzZ9SHH36oYmNjVWhoqCooKFBKufbceFziUkqp119/XUVFRSlfX1/Vv39/9dFHH2kdkkvs379fAY3a1KlTlVKmLvG///3vVUREhPLz81NDhw5Vp0+fttjHxYsX1fjx41VQUJAKDg5W06dPV1euXNHg3TietXMDqOXLl5u3KS8vVw899JDq3LmzCgwMVPfff786f/68xX7Onj2r7rnnHhUQEKBCQ0PVk08+qaqrq138bhxvxowZKjo6Wvn6+qqwsDA1dOhQc9JSqn2fG1saJq72fI7Gjh2runXrpnx9fdUNN9ygxo4dq7755hvzeleeG5nWRAghhEfxqGdcQgghhCQuIYQQHkUSlxBCCI8iiUsIIYRHkcQlhBDCo0jiEkII4VEkcQkhhPAokriEEEJ4FElcQgghPIokLiGEEB5FEpcQQgiPIolLCCGER/l/4dJ1dg1CR4MAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "font = cv2.FONT_HERSHEY_SIMPLEX\n",
    "cv2.putText(blank_img,text='Kristin',org=(10,500),fontFace=font,fontScale=4,color=(255,255,255),thickness=3,lineType=cv2.LINE_AA)\n",
    "plt.imshow(blank_img)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "83d309dd-140d-4454-a12f-89c3a96d6541",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "# create a new blank image\n",
    "blank_img2 = np.zeros(shape=(512,512,3),dtype=np.int32)\n",
    "\n",
    "# make an array of vertices with x and y coordinates\n",
    "vertices = np.array([ [100,300],[200,200],[400,300],[200,400] ],dtype=np.int32)\n",
    "\n",
    "# need to reshape to 3 dimensions\n",
    "pts = vertices.reshape((-1,1,2))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "b3b56e6e-8115-4e17-9f3b-c35893cb5fd4",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x12c65e450>"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# draw a custom polygon with the points\n",
    "cv2.polylines(blank_img2,[pts],isClosed=True,color=(0,255,0),thickness=5)\n",
    "plt.imshow(blank_img2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "727f643b-0820-44ad-9c30-caaae009c40c",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}