20080 Volume Revolution Integral.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "4bcef951-30c3-4d44-b858-5f253f5b22e7",
   "metadata": {},
   "outputs": [],
   "source": [
    "from  Libaldomath  import *\n",
    "from lib_MyIntegral import * "
   ]
  },
  {
   "attachments": {
    "ac7f2e26-4ec9-4d08-8010-2b0f18bb7b85.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "e9516748-41eb-4080-984a-ed85eeec4ec1",
   "metadata": {},
   "source": [
    "![image.png](attachment:ac7f2e26-4ec9-4d08-8010-2b0f18bb7b85.png)"
   ]
  },
  {
   "attachments": {
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"
    }
   },
   "cell_type": "markdown",
   "id": "d7406951-37b2-4296-a82e-419f798f0da3",
   "metadata": {},
   "source": [
    "![image.png](attachment:feacab3f-8e35-4fb0-8cd6-4dda94b0b97e.png)"
   ]
  },
  {
   "attachments": {
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     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "8708a8aa-5ebc-4ece-838f-3109ac92850a",
   "metadata": {},
   "source": [
    "![image.png](attachment:ddcd9e5e-99e9-4c5a-b4d9-256af023c5e2.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "8372633a-8907-44b6-b05a-0aacda853ee6",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle x^{2} + y^{2} = r^{2}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q=MQ(x*x+y*y,r*r)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "bcaccbf1-a351-47d6-8063-01aa9960f430",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle y^{2} = r^{2} - x^{2}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q.Substrac(x*x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "832d1a75-ebb5-4016-bef8-634e8c09c802",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle \\sqrt{y^{2}} = \\sqrt{r^{2} - x^{2}}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q.Rpow(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "88d07aed-4b0d-4b9b-822f-9cf038032213",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle y = \\sqrt{r^{2} - x^{2}}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Q.mulexpo()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0eebad60-c0cb-475c-b46c-1464559ed0c4",
   "metadata": {},
   "source": [
    "Q.simplify()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "f1640794-72ec-4ab8-9b14-581bdacb2ab5",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle y=\\sqrt{r^{2} - x^{2}}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y=Q.solve(y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "2dff276e-2075-4397-ab18-804503630fec",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle f =\\sqrt{r^{2} - x^{2}}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f=MyEq(y,'f',var=x)"
   ]
  },
  {
   "attachments": {
    "38bad0d9-8bb2-4b03-8534-026cafb129a7.png": {
     "image/png": 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BCEAAAhCAQHkCmNryElIABCAAAQhAAAIQgACmlh6AAAQgAAEIQAACEChPAFNbXkIKgAAEIAABCEAAAhDA1NIDEIAABCAAAQhAAALlCWBqy0tIARCAAAQgAAEIQAACmFp6AAIQgAAEIAABCECgPAFMbXkJKQACEIAABCAAAQhAAFNLD0AAAhCAAAQgAAEIlCfwHz38V6g6mk4aAAAAAElFTkSuQmCC"
    }
   },
   "cell_type": "markdown",
   "id": "191eee51-8b5f-40ec-ba0a-3fcadcfaaa58",
   "metadata": {},
   "source": [
    "![image.png](attachment:38bad0d9-8bb2-4b03-8534-026cafb129a7.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "76c4ddea-48e4-4c28-a3c4-2ef4049ea217",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle df =- \\frac{x}{\\sqrt{r^{2} - x^{2}}}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df=f.diff('df')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "91bdf213-12f7-4d81-a69f-3ec82ef59471",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle df =\\frac{x^{2}}{r^{2} - x^{2}}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.Pow(2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "442f4153-6485-4a11-a7b1-3c6e2878c998",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle df =\\frac{x^{2}}{r^{2} - x^{2}} + 1$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.Add(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "3e58f933-ae71-46c0-be35-d97de6eb58e1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle df =\\sqrt{\\frac{x^{2}}{r^{2} - x^{2}} + 1}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df.Rpow(2)"
   ]
  },
  {
   "attachments": {
    "d37f4dea-739b-403b-b23a-17455f83c81c.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "5cb0c169-d2ef-489e-a772-78aecc44fe4e",
   "metadata": {},
   "source": [
    "![image.png](attachment:d37f4dea-739b-403b-b23a-17455f83c81c.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "65e03280-8cba-4dbf-b18e-0e0aafa295e6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle S=\\int\\limits_{0}^{r} 4 \\pi \\sqrt{r^{2} - x^{2}} \\sqrt{\\frac{x^{2}}{r^{2} - x^{2}} + 1}\\, dx$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "S=MyIntg(4*pi*f*df,'S',var=x,x1=0,x2=r)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "29f59360-142e-4696-8efb-4f248afade8a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle S=\\int\\limits_{0}^{r} 4 \\pi \\sqrt{\\left(r^{2} - x^{2}\\right) \\left(\\frac{x^{2}}{r^{2} - x^{2}} + 1\\right)}\\, dx$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "S.joinbase()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "e95214d7-5058-4820-9714-2d7c3abeed21",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle S=\\int\\limits_{0}^{r} 4 \\pi \\sqrt{r^{2}}\\, dx$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "S.simplify()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "dd94eabd-a545-4353-b435-d64f04619351",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle S=\\int\\limits_{0}^{r} 4 \\pi r\\, dx$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "S.rsimplify()"
   ]
  },
  {
   "attachments": {
    "1c8c4fb7-0b52-409b-8f06-9ebd5c83f300.png": {
     "image/png": "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"
    }
   },
   "cell_type": "markdown",
   "id": "d1797518-bf9b-4878-b5da-7079e9f6c2c2",
   "metadata": {},
   "source": [
    "![image.png](attachment:1c8c4fb7-0b52-409b-8f06-9ebd5c83f300.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "1f4d3b51-49ce-44df-8feb-f7a34b05f08c",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle S=4 \\pi r^{2}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "S.doit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "31d869e9-777d-4f40-8009-fd790bc824b1",
   "metadata": {},
   "outputs": [],
   "source": [
    "from  Libaldomath  import *\n",
    "from lib_MyIntegral import *"
   ]
  },
  {
   "attachments": {
    "ac7f2e26-4ec9-4d08-8010-2b0f18bb7b85.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "58095d1e-2406-4d90-805b-32a177b102e4",
   "metadata": {},
   "source": [
    "![image.png](attachment:ac7f2e26-4ec9-4d08-8010-2b0f18bb7b85.png)"
   ]
  },
  {
   "attachments": {
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"
    }
   },
   "cell_type": "markdown",
   "id": "e1580cf8-f8ff-4ade-ad57-e8f3611aba82",
   "metadata": {},
   "source": [
    "![image.png](attachment:2411cdb8-d929-45ad-bb3d-ac0e64197a42.png)"
   ]
  },
  {
   "attachments": {
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     "image/png": 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6JMe2hvwC1B3LQUNhMZRnL5D7mhJeAwai77ix6DMhlDI5JHAGD76UgWILab3iZ/MPsbCx+SXQEwAWNj0R4u8zASYgewIsbGQfYpNMsJO2m7WRPbdwFzuzaxdO7tyNKjpDo66shRdt0RoybTIGT56EfhER8KAXfOnl/r9CwSQD/G8nzeoWpBZkYBO57VU1XMTK5CWYFBIDbzfP/2ZuOiijpIVDhTibY29HTmzOdC5MiBwyvWgjM4TqKtQcOoqK/QdQu+8w2usa4D6oH/rHRSFo3jz4DA+EK9lJCzHHAseUkZdBXyxsZBBE406BhY1x+XLrTIAJWAEBFjZWECRLHyJtO2umcydn09JQtHYDLu7NRqeLPfpEj0fgrBQMS06Cz4gRcCAbZmlLlxkzFiRH0KRqweHyHHy0cwPqm+txc9JCJI1LQICXL1oo0yKyN1qJGxGXriyOlMkh62dh/9xuTyJPgcaSUlTvP4jK3XtRfySfCoK6YfjsaRi5cD76RUVR7RxPS48sj8+SCLCwsaRoWORYWNhYZFh4UEyACZiSAAsbU9KWX1+1+fk4vWcvzqTuRV1uMZzJ2UzYIfePiUFA6Dg6RD9UsmQWW7AspdaLsHmup61o2acLsWbPd2htb8Xk0DikTJiMvt7+UFFdHcmSWtery25amBCQaVtnazsVEm2kszjnUZdfRK5qh9BSdhoOdF/AmNEYOn0ahk1LJrc32orHdXB0pW1797Owsb2Y6zhjFjY6AuPbmQATkB8Bfd7fTEmBz9iYkrZ2fQlrZgVlaM7s2YNzqQdQX1JGdWRAdWZGYXDCRPiPGwMvKmbp6u9/6aXdAi8hbkTmZn/xYfx8NBWttI0sYmQoZkQkwp+soNta2/5b50bPwdM2NWFLLWrbdLSRwGlqhOLUGaqLU4i67Fy0nDwDp057EoHjMWRqouSk5uIfwFbReuK2icdY2NhEmHszSRY2vaHHzzIBJiALAixsZBFGk0yinTIZLVTAsjonD+f2HsSFjAy0t6jhFTgUAybF0gv6ZMpEjKHszKUtZ5Z+iayMghzSduQeQFpeuuSWFjs6gjI3U8hQgNzZpCKeemRurpy4yOI4dm2/s6MMTpPkonaRipFWHzyEVrLB9h02AgMmx6F/dARZRgfBxdePMziWvnjMMT4WNuagblV9srCxqnDxYJkAEzAGgd6+txljTFe2yRkbYxPWon1aJJrGBsm6+dy+Azi9bTeqM/PgPWowhs2ahsDZ08n5K4yKaLpp0Zjl3SIMBXbnZ2D78b2oaarFvIkzEBscAR93L8n+Wa9tad1NUxI5oqiog7RFrZEc1C5s24Gqbemwd7Ejt7hQDJ06Ff2ioy67xYmMD19MQCLAwoYXQg8EWNjwEmECTMDmCbCwsfklcEMAne3taCe3s9OpqSj6Yh3O7z1Mh+DdMermOQhZsRx+VIvG0d3d6iEqNWpklBzDmn3f4kJNFW6bfhMmhkTBz4Pq3JDjm9i6prWhQE80hDmB2KZGjmqiKGjt4SMoW7MW1fsy4eTsQu5pMzHqpmXwHjbskuECi5ueiNrG91nY2EacezFLFja9gMePMgEmIA8CLGzkEUdjzKKtpQV1xcUoWr8RZZs2S10MnDIZwUsWYWBsNLl6eV2yLZbBi7fIyjQqFcg7W4z3d62jgp5qpEROkerc9PXxJ7c0tVSzxmDiRsCU6n3SNjU4Ql17EdVkj31+607U7TsEz6AhCFm6GEPJXMCLBA5fTIAzNrwGeiLAwqYnQvx9JsAEZE+AhY3sQ6zXBBtPnsTZ1DSUb96KmqNF8AkNxLCZKVItGl+ybnb28dWrXUt+SGRlhLg5cjIXX2dslcRN9KgwzIyYiv4+faGkMzgdZG0tKRIDXvYOjuSiZn/p/E3JSVxMT0fVvv3orGpGHzIXCJwzHYMnxcuSuQExyr8pztjIP8a9nCELm14C5MeZABOwfgIsbKw/hgabAS2GVoUCF49n49TOHbhwMBNtjS0IGDsOgfNmYEBcLDwGDpC2Ucn1EmYBSo0KO/MPYlf2fihbVYgicTM3MgVebh5oa29DuyRuDHtJW9Poq7OtA6raGtRkHsL5LalQnTkLzz7+GJQQh6Ep0+AdGEhFQV0M2zm3Zh0EWNhYR5zMOEoWNmaEz10zASZgGQRY2FhGHMw9ii7Hs8pDR1D644+oyc2nDIEXAmfOQPDihfRCPdymXqiFocBOckvbRV8NVPMmJWIKpo6Lhxe5pQnx097RbpSQCXEjtveJuja1x3Npa9oO1B7IQKdCiSGTE8isYToJzTFS9sYanOeMAslWG2VhY6uR13reLGy0RsU3MgEmIFcCLGzkGlnt5yXMARpPncLJrdtR8NlXUo2awcmTMPbWW6QzHo7uZH1sg5cQN3sKs/AdbUurrKvCLSk3IZ4MBXzcvKioZy/r3PTA097ZCQ6OLtDUN6Ji/z6Uf7kBDfuPYmDSRIxeeTMGToyFixA3jrSNjS/bIMDCxjbi3ItZsrDpBTx+lAkwAXkQYGEjjzjqO4tOcvy6kJ6BvE/WoPTjH+E1YSDG3b0KQXNmwzsoCPbixVkG5gD68Okkr+euMzcf7dyARkUDlkyZh6TxCQjw8oVKraE7elnn5noDEz+YVAtIZG86WzvQfOY0LmzZhpOfbYCzhxtGLp6PMctvhseQIfpMjZ+xRgIsbKwxaiYdMwsbk+LmzpgAE7BEAixsLDEqphlTy8UqlG3+CaXf/YDG8jPoHxNB2YCbEDB+PNz69rWprWfXIy7O0zQom5B7pghf7P0e6jYN4sdEIyV8Cvp5BZDBgBHFDQ1K2m5GwlLYbmvIXKCGzj1d2LIDyjPn4Bs8AmNXLkf/2Fg4iO1rfMmbAAsbecfXALNjYWMAiNwEE2AC1k2AhY11x0+f0beTdbFwPSva+A3Op5H7Fr28D5gYgxGL5qNvaOil2inihZoviYBwS2tWK7G/+DC2Hk2Dqk2N8JGhmBGWiABPXzIUaJfuMdolCnuKrBmdv2lrbkbtseO4sDMNDUdy4erqiTG33SS51bn168dxM1oQLKBhFjYWEATLHgILG8uOD4+OCTABExBgYWMCyJbSBQVb09iAizl5KPnme5zbnw73PgEYNj0ZQfPnwG/0aEsZqcWNQ2w5U5C42Zl3EGl5GSR0FIgNiUDKhMnkluZ5SQAZwS3tWhBia5oweqgvKMT5n3eg4sfd8Ozrj6AFszF0aiK8RwRx9sbiVo+BBsTCxkAg5dsMCxv5xpZnxgSYgJYEWNhoCcrKbxNZGXVdLSqpCGTRN9/hxAebMXBWFELvWkXCZhpcA/pY+QxNM3xhKJBakImtx9JwsaEGC+JnYuKoKPh6eFMBz07jixvqQxgG2FHdG2VlFc5RnaHSd7+As7cbgubNxIh5c+EXHAwHV1fTAOFeTEeAhY3pWFtpTyxsrDRwPGwmwAQMR4CFjeFYWmxLoj4NbWEqIxvn3E8+Q0XaYQxeOA1xv38MfcPC4ORhm65n+sZLQYU6M0qO4dPUb1BFbmm3Tr8JiWPj4OfpIxkKdNAv2jymb/M9PyfEzX9toe1aO1FxYC8K/vkuVCdPY9CUeEQ8/CD8x4yRdb2hniHJ8A4WNjIMqmGnxMLGsDy5NSbABKyQAAsbKwyaDkMWmRpR8DHno09o+9l3aGtpQdDcWQh76CF40JkM8ck+n6fRASjdKurYXDIUKMaHu9ZDrVFjRlQibUubgr7e/rRlrUW6x6jihsYhzt3Y2dFZqA6qeZOfj1Mbv0bt/kx49e2HyMceRr/oaDh5Xtomx5cMCLCwkUEQjTsFFjbG5cutMwEmYAUEWNhYQZD0HKIwCWg6cwY573+IcqpR49Y3gGycZ2HE/PnwCwlhQaMnV/GYMAsQVtCHy3PxTeYWckdTI3ZUJGZFJv1X3Cile4wtbsRY7J2c0Kmh8ZSW4sKOneSatgvOrfYYd/8qDJmWBI8BA3oxU37UYgiwsLGYUFjqQFjYWGpkeFxMgAmYjAALG5OhNmlHIjNTU1CAkm83oeSr7+EZPBgjlywgYTMHPlSfhq/eExBZGWWrCjtyD2A3fSk1KkSPCsecyGnwdHVHWwe5pZnAUOCSuLlk99xcfgrnqN7Nqc+/gfeA/hTzeRg6MwXew4b1fsLcgnkJsLAxL38r6J2FjRUEiYfIBJiAcQmwsDEuX3O0LkTNxZwclG76kWrUbIZnwECMf+B2DE2hT+8HDjTHkGTdZ6NKgd3klrYr5wDqWxoxPTKRztxMhKebh2kMBYiucG2zd3CSztWoL1bj5IZvcGbdj/DsH0CGAjMxnDJ1nlzM07rXIQsb646fCUbPwsYEkLkLJsAELJsACxvLjo+uoxNWwNU52Sj4Yi1O/ryTtiH1x6S/PYN+EZF83kJXmDrc36Rqwd6iLHyXsQ0VdZW4JWUZYoMj4OvuTVkbUeemU4fW9L9VnJeyc3IEaGta2YYNOP3lt3Bs78CIJfMxbtWtcPLy4i2I+uM175MsbMzL3wp6Z2FjBUHiITIBJmBcAiZ639J7EqtXr8agQQORnJyM4cN5C9WNQAq74arDh3Dkn/9B5eHj6BMRitg/PoY+EyZcqm0iijzyZRQCgr3I3Bw7lY8Pd6xHk6oZCxNmYeq4iVTE0w+a1lYpq2KSi8SNvTOdu1G34tzPW3Hyy6+hLjuD4F8tQdj998LFx5fXgkkCYeBOWNgYGKj8mmNhI7+Y8oyYABPQkQALGx2BWejtrU1NuJCZhcP/eBuKivMYPCUOo1cup0xNBBzd3PhF1gRxa6fzNJJb2tlifLl3EzTtGsSNicK00Eno591HMhgw2SXEDdW70TTUo/pgFs59/zMasrIRvHIRQpbfDJ8RIzhzY7JgGKgjFjYGAinfZljYyDe2PDMmwAS0JMDCRktQFnxby0Uq1LjvAHLf+xgtVTUYNmMqRi6aj35RUZdEDV8mIyCc0BRqFfYVH8KO4/vQQuYCYSPGYUZYImVufE1qKCDZeFMhz9b6BtQdzcVZOm/VVFCMwJnT6NzNHASMH3fZdMBkgLgj/QmwsNGfnY08ycLGRgLN02QCTOD6BFjYWPfqaKmqxJnUNBRt2IiLWbkIuWUJRq+4mV5ax9P2MxfrnpyVjl5sOFOoldhdkI603HQpixM3JhIpoZPh7e5FJ/070U7nbiiNZpIZCjvodlUrGskl78R7n0JTUYkBMZFk+z0H/cIjaNvaJUc1viycAAsbCw+Q+YfHwsb8MeARMAEmYGYCLGzMHIBedK+mbUantm5Dwdp1qM7Ox8jF86Wq897DAqXaJnyZl0AzFepMK8jEz0dTUd1Yi3kTp2Py6Fj4eghDgQ4pe2OKOjdCP9k5OsHBzgH1JG4K//UuFCfKSNyEI/SuO+E3OoQc1chwgM9gmXfB9NQ7C5ueCNn891nY2PwSYABMgAmwsLHONdBJL8almzbh6L/eRNNJOhi+fAkmPvUnOHv5SJa/fFkGAYVGiazSbHy0ayOq6iqwasYKMhSIhx+5pbXQ9zrIUMAk4kbgILc0Z2d31ObmoJjETfWedAxKmYxJzz4DN/8+JH5I3PBluQRY2FhubCxkZCxsLCQQPAwmwATMR4CFjfnY69uzqFNzcts2HH71dWgUCgTRlqIJd98F78DhLGr0hWqk54TNc6OymQwFivDBznVQadSYGTX10pkbbz8oyCbaZD+DlJERv8hWAHV5+VTr5mtc+GEHhk6fgsjfPgLfkSN5/RhpHRikWRY2BsEo50ZY2Mg5ujw3JsAEtCJgspcqrUbzy5vY7vlqJsrqi3SmZg+OvfE2WsleOGjeLIy6aRkCxoqD4Lz9TM9lZtTHhKFAo1KBrLJsfJe1DZo2jVTjZlZUEgK8/KAksSO2ppnkoh94UciznV6SGwsKcerb71H5824Ezpkmnc3qK87ccObGJKHQuRMWNjojs7UHWNjYWsR5vkyACfyCAAsb61kUQtScTd2H/E++QH15GUbdvAjBSxahT2gou1tZeBhF5tW0eKcAACAASURBVEZsPduZdwCpOQclt7SYEBI3EUnwdHWXhI2wizbVJc7USOKmqAgl732C5sISDE2eguBlS8lQIIzP25gqELr0w8JGF1o2eS8LG5sMO0+aCTCBKwmwsLGO9aCuq6VMzV4Ur/8WVZnHMHLlfIy/fRV8g4M5U2MdIZRGKbal7co/iF05B1CvaMQMytokjImGj6un9H0hgIx+iS6EoQCdxRJntRrzC1H4xrtorbyIwYkJGHvLSqnODZsJGD0SunXAwkY3XjZ4NwsbGww6T5kJMIGrCZjiPao3zHkrGtCuVuPUjp1Up+ZT1GQXIGjJDMT8zx/g3r8/bRvi7We9WV/meLaJztXspzo3X2dsQWVdFZYnLUYcbU3z9/Ch8zadphE3/524qHVjT7WOarMOo+g/H0JVdgqBs5LJXe8hOHt785kbcyyQ6/XJwsaSomGRY2FhY5Fh4UExASZgSgIsbExJW/e+OtvbUZGRgfS//wN1hScwdMZkxD3xRzIKCGQXK91xWsQTQrw0kRV09ukCvL3tC2g0GsyJS5Hc0vr6+ENNfxb3mOQSFs+ODlTH0xHVmVko+3QtavcfRsjKhQh78H64BfThzI1JAqFFJyxstIBk27ewsLHt+PPsmQATIAKmen/SF7YtZ2zalErUnTiBA399AfVFJRiclIDQO25Dv4hILqqo74KykOeEoUCDcEs7U4Sv9m+GqlWN2NERSJkwGf19+0CtJnFDv0xykbixJyvoDqUaF9OzcHLt16hNzUDYo/cieOlieA0bZpJhcCc9EGBhw0ukBwIsbHiJMAEmYPMEWNhY5hIQls7VebnI+egznNm6B4OnT8bYlTdj0ORJcKStQ3xZPwEhboQj2t6iQ9h+fC8UmhaEjRiP2RHJCPD0QWt7GxkKtNNEKati7EuIG2cnaOobUJ2eiZJ3P0VnXQtGr7qZnPdmw2voUGOPgNvviQALm54I2fz3WdjY/BJgAEyACbCwsbw1IM7UVFMRxRMbv0PhF9+gfxxViL/nDgyenEDnHnwsb8A8ol4RUKiVkqFAam466pWNmDwuFtNCJ8PbzZPO2wi3NNOIG3Hexs7JAZrGJlxMO4Ci196Du783Ri6Zj6AFc+Het1+v5skP95IAC5teApT/4yxs5B9jniETYAI9EGBhY1lLRLhU1dP2s8J161H81TckZHwxefX/w4DYGBY1lhUqg46mmcRNWmEGfjy8CzUNtVg0aQ4mhUTD18MbbSRsxJcormnsSzIToMyNXStQ8smnKP34K3j164ext98iFYKVsoXiXA5fpifAwsb0zK2sRxY2VhYwHi4TYAKGJ8DCxvBMe9Nia1MDjr75NvLphdLBxRkpb76K/rFxcHTn7We94WoNzwpxk1l6HO/vWIv6pjqsmnEzksbGw8fTGwqVUjpzYxJxQ8LFwcUVna3tyP/PWzi95jt4evsh/oWnaS3GcgFPcy0mFjbmIm81/bKwsZpQ8UCZABMwFgEWNsYiq1+7+fQpee6HnwH0yXnovb9GyLJlcKBPycUn6XzJm4DYdlbf0oQcMhT4aNcGtLZpkBI+BTMiEhFAwkKhUpnO7UOIG2dnKCsrUb52I85t2gavvgGY+uLz8KTzNuJ7fJmYAAsbEwO3vu5Y2FhfzHjETIAJGJgACxsDA9WzuVaFAqd37qJszX/Q2d6JEfPnYgwVSvQYOFDPFvkxayTQLgpmqpqRQZmbHw/vhLpVg8hRYZgZPhV9SNxoWlvRQfeY4pLO3JAVdGNxCU5//yPO/7AVQ6fEY8Ldd8J3JBeGNUUMruqDhY3JkVtbhyxsrC1iPF4mwAQMToCFjcGR6tygprEBlYeO4PA//o3mivMYuWgeRi9fAf+xY3Ruix+wfgId9EOpoDo3uwvSJUOBZvp9FIkb4Zbm6ep+qYinqcSNgwPIwQD1eQUo+3IdavZnYfSKJQhesAC+o0ZxJtGUy42FjSlpW2VfLGysMmw8aCbABAxJgIWNIWnq3pawda46egx5n32Bsm+3YPRtS+ig9q3oFx7BVd91xymrJ0TmZnd+BnblHEBtcz1mRk1FvDAUcPeiedpJjmmmuOxEjRuVBvW5ech7+Q1AocSopYswcuF8eA4ezGYCpgiC6IOFjalIW20/LGysNnQ8cCbABAxFgIWNoUjq3k5neztqCgpQsGYd8t5di0HToxD/zJ/QJzSUCibyGQbdicrvCZGtOXDiCDYc/BEXaqpwy7RliBsVAT8PH8kGWmRvTHEJcYPWDlTu24eCF/4FZ1cXhCxfgpAVy+Hk6WmKIXAfLGx4DfRAgIUNLxEmwARsnoCJ3ov05rx69WoMGjQQycnJGD48SO92LPFBxfnzyP7gIxSt/QZuAf5I/udLCBg7lhzQ3C1xuDwmMxAQwkWIm9yzxXh76xd05kaN2bHTkDQ+QTIUUFHNo07K3BjdLY3MBOzsxJkbJ5SvX4+y99bA2cEJ4Y/ej+DFi81Axga7ZGFjg0HXbcosbHTjxXczASYgQwIsbMwQVIIuinAef/c9FFMBTgcnF0Q+8QgCZ0yX6oSwA5oZYmLBXYotZ41KBfLOFePLfZug1KgROzpCMhTo7xuAFnJLE/cYW9zYCXHj4gJNTT1Orl2PCz9sh6uzO+Kff4rOg40li2gXC6Yog6GxsJFBEI07BRY2xuXLrTMBJmAFBFjYmDhIQtRoNCj/aQuOvfU2nV1oJbOAhZK1s4uvH59XMHE4rKU7YSigomxNakEGdmTvg0KjRMTIUMyNnCaduWltb6OtacY/cyNEt4OLGxpPkFPahu9Q+fNO9I8JQ/hDD8A7KIhtoI25oFjYGJOuLNpmYSOLMPIkmAAT6A0BFja9oaf7s8IsoDo/D5kvvIymM+cwfM4MjFu1Cn4hIbo3xk/YHIEmFbml5R/E7rx01CsakBg6ESmhk+Hl5klZGxLNdO7GqBf1YUc1bOztHFCXnYuT69ajasdejL9rFVmUz4N3YCBnHI0VABY2xiIrm3ZZ2MgmlDwRJsAE9CXAwkZfcro/10E1SOqKi5Hzwcc48c13GLVsEcbdvgr9oqJ0b4yfsFkCQtykFWZg86GdqKqvxs2JC5BAbmk+Ht6SsDF65ob+0bCnbWcdZANdl5eH3OdfQWddI8LuvRPDZ8+Ea0Afm42NUSfOwsaoeOXQOAsbOUSR58AEmECvCLCw6RU+nR5uOn0aJzZ+i4OPv4Dhy2ci+n8eRf/IKLZ11oki3ywICEOBrLJsvLd9Leqb6nDb9JuQNC4Bvp7e0pmbTvpltEv8o0HnbSTnvtZO1OYcRfo9f4TfyKGYcN+dlLmZz1sqjQGfhY0xqMqqTRY2sgonT4YJMAF9CLCw0Yea7s+o62pRtOEb5H3wqVTNPfGlv6FfRMQlq1x6SeSLCehCQJgF1Lc0Ift0IT5J/ZrO2LRi6oQETA+bgr7e/uSWJsSNES9J3JBLmr0D7No7UbZhI86s+w5+w4di/B2rMDA+3oid22jTLGxsNPDaT5uFjfas+E4mwARkSoCFjfED26ZUovT771H4xXq0VFxE2G/uQ/CiBXD28eXzCMbHL9sexJazJpUCmWXH8ePhXVCSuUDkyAmYEZ6IPp6+0JChgNHr3JC4sXd2gqryIko+XYP69MPwo3M2kb95ED4jR3I20pCrj4WNIWnKsi0WNrIMK0+KCTABXQiwsNGFlh730svnOSpqePzdD9FYegpDp01BxGO/gXvfvvzSpwdOfuRqAkK4CIe03fnpSMvLkIRO1KgwzKDMjTAUEGkbkd0x6kVOafZOTqg9egwn16xH07E8DJs5jbal3Q1X/wDYO1JxT756T4CFTe8ZyrwFFjYyDzBPjwkwgZ4JsLDpmZG+dwizAFGEM+u111Fx8DD6RE5AxMP3S1vQ+GIChiQgDAVSC9KxM+cAapvqMSNqKiaGRMGPDAXsSNy0G1nc2DnYo7O9HRU703Dyy41Qlp1G9BO/w9CkRCo+S2YCvN2y9+FmYdN7hjJvgYWNzAPM02MCTKBnAixsemakzx2dlKlRVl9EwZqvkP3mB+gXG44J995Fn2TP0Kc5foYJ9EhAGAocLDmK9Qd+REVtFVYmLUY8iRt/2pbWJurcGLmIp52zI9qalajYkYqCl/8FVz9vJDz9JwyIi4UDFZ7lq5cEWNj0EqD8H2dhI/8Y8wyZABPogQALG+MsEU1jA87tPYCdix6FV9xgRPz+EanOh5OHh3E65FZtnoDYlia2ouWcLcI7276EmgrBzo2dhmkTJqOPtx8UyhZ00N40O/plrEtsSVNVXcTZ7zcj57cvY9RDSxF6zx3oR+5/fPWSAAubXgKU/+MsbOQfY54hE2ACLGxMvgbEFrQL6Rk48q//4PxP6Yh76XGMXDgfXkOHslmAyaNhWx2K8zSNSgWyzxTiq30/QN2mxsQxUZgdkUxuaX5kE61EJ9WfMdZl5+BA53o60XL2AvJe+Scac4oQsnQBxtyyAp5DhhirW9tol4WNbcS5F7NkYdMLePwoE2AC8iDAGRvDx7E2Lx8FX30l2TsPTZmGyEcegn/IKHKPoroffDEBIxMQ4kapUWM3nbnZcXwfFLRFLTo4HPOip8Hb3YusoWlbGm2VNMpFZ2nsyCzArtOOzASOIu+1N+FMzmmjFs5D8E3L4Mhb0vTHzsJGf3Y28iQLGxsJNE+TCTCB6xNgYWPY1aGqqUbhV+tx4uvvYOdkj0n/+xf0DQ/nLWiGxcytaUGgkbal7cjdj9Tcg5TFaaY6N/FICZ0CTzd3ckrrRIeRxI2dqG9DFtD29o448clnOPfdT/Dy90fY/Xdfqm/DRgJaRK+bW1jY6MfNhp5iYWNDweapMgEm0D0BFjaGWxliC9qp7TuQ8/5Hl+rVPHQ3xt52G9s6Gw4xt6QjgQYSNHsLs7D58E5UNVRj+dRFiA2OgC9lboSwEQLHKBeJF0c3D/o5qEDRf95D7Z4MDIiOwMRnHoeLrx//TOgDnYWNPtRs6hkWNjYVbp4sE2AC3REw1nuNoWivXr0agwYNRHJyMoYPDzJUswZvR7igNZ89i7Q/PoX60jIELZqL+CefgIOrq8H74gaZgC4EhFva4fJcyVCgsaWJ3NIWYeq4ifDz9IGKDAaMVsRTiBtXD9Rl56D0/c9QvWUfYv72B4yYN1cqTsuXjgRY2OgIzPZuZ2FjezHnGTMBJnANARY2BlgSBFG4oGW++hpKNvyMAfFRCH/gLvpvPO26MZ4DlQFGzk3YAAFx5kZkbnLPFuOT3RvR2taGSeNjkRI2GX19/KFWa4xGQZwr62xtR1XaPpR++Bk05yow5cXn0C86Co7sEKgbdxY2uvGywbtZ2Nhg0HnKTIAJXE2AhU3vV4Sqtgand6ci47m/wytwOMbc+iv6VHo2nL19et84t8AEDEBAiBtRxDOd6txsOZqGllYVwkeMx4zwRLKC9kdbWyttTTP8tjQh7O1cnKEmC+gL23fhxOvvYPDUSRh35x109iyMhb8usWVhowstm7yXhY1Nhp0nzQSYwJUEWNj0bj20KRSoyDyEI/94Ew2nSjHhofvI2nkhvNjatndg+WmDExBbzsS2tLTCTKTlZaJR1YToUWGYEZYILzdPaUuaMQwF7BzsaS72ZAF9HqUffYLag4cRvGQhghctgPfw4Qafp2wbZGEj29AaamIsbAxFktthAkzAagmwsNE/dJ0d7ajJL0ARuaDlv/glQn6/jJyf7oVfSIj+jfKTTMDIBETmZg+Jmx05+1HTVIeZUVMxcVQU/OnMjRA3bbSuDV3E096e6tu0A42ny5H97Atwot8HL5qP4GWL4eTlZeQZy6R5FjYyCaTxpsHCxnhsuWUmwASshAALG/0DpamvRf5X65D34edw8vREyr9eg9/oEDi4uOjfKD/JBIxNgHacNWuU0ra0L/Z+j+qGGvwqeTEmjY6Fn5cP1GQoILauGVrciG1p9lTHpnztepT861P4DhmMyN/df+ksmr3I6vB1QwIsbHiB9ECAhQ0vESbABGyeAAsb/ZdAybffIue9T6C4UImEvz6FYTNmwMndnet06I+UnzQRAZGZEXVucs4UkVvaF1C3ajA3NgXTw6YgwMsXzUolaGOaYcWNMNJwdEAnmRXk//tt1KQdQP+xYxD/7DN0Hs2XxU1PsWdh0xMhm/8+CxubXwIMgAkwARY2+q2B2vx8ZLz8MuoLSxA4awaif/+oZGHLnzzrx5OfMj0BkZVpVCpw7HQ+1h/4CUqNCnEhEZgTnYK+ZCjQQlvWDF7nRmRtXJ1Rn52Pk1+sR+PRHAQvXYhQMhNwFB8K8HV9AixseHVwxobXABNgAkzgxgRY2Oi2Qjrb2yVr56P/fgsnf94Gv7GjEP7QAxgQG6dbQ3w3E7AAAkLctJCgSS3IwI7j+yRzgeiQcMyPmg5vKrDZ2t6GdqrRZMjL3skRHZp2XNiZipNrv0bHuWrEP/80+kVGSFs6+boOARY2vDRY2PAaYAJMgAmwsDHkGtA0NeFs2h6ydn4RrgH+GLtqBUbdtIwKcboZshtuiwmYlICoc7Mr7wB25x5EAxXxTA6fjKRx8fB2v+SWZkhxI521cXahLZwXcHbTzyh/6zMEzknC2DtWIWD0aPqes0nnbjWdsbCxmlCZa6C8Fc1c5LlfJsAELIYAZ2y0D0UHHaquLSrGQapXc/FQNkLvux1jb7uFatcEat8I38kELJRAg7KJ3NKysDlrB6oaa3Fz4nzEBUfAz9NXEjZC4BjqsnNwgB2dt2ksKsGJdz5A1a79iHz0IYyYPxeegwbxObXuQLOwMdTyk207LGxkG1qeGBNgAtoSMOC7irZd6nTf6tWrMWjQQCQnJ2P48CCdnjX0zY0nT6Jo/Trsf+pJ+nT5bkQ88hD6R8cYuhtujwmYjYBCrcTRU3l4c8vn0hmbm0jcJI6dCD8PbzIYaDXouERmpoNe1muOHUfWfb+H36ggTLj3LgTNmU2ix9GgfcmiMRY2sgijMSfBwsaYdGXQ9rZtW/Hoo4/hzjvvxJNPPimDGfEUmMAvCbCw0W5VaBrqUfbTFhwhNydlYyOmPv8shk1NhIt/gHYN8F1MwAoIXDIUaEbeuRP4NPVraOiMzaSxMUiZMBkBPn7QqFvJLc1AmRuyeBZZm7ZGBco++RxnvtiEQZNiMf7e29E3PNwKaJl4iCxsTAzc+rpjYWN9MTP5iAcOHIC9e/chODjY5H1zh0zAFARY2GhBmbbhnN27F7kff47ze9Ix7v5VGPerX8FzyBDY8yfLWgDkW6yJgBA3InNzkOrcbDmaBgXVvAkfMQ6zIpLg7+GHNhI74h5DXNKWNPpqPnkKeS+8DtXZCxg+Ixlh990NF18/Q3QhnzZY2MgnlkaaCQsbI4GVS7MlJSVITJyCCxcq5DIlngcT+AUBFjY9L4qm06eR89FHKP9pO7wGD0bi6r/Ce8QILsTZMzq+w0oJiKxMs0qJNHJLS83LQIOyEbFkBT09PBE+bl503qYDbR3tva9zQ0YCImsjPiA4/d1mnPzqazh1dF7ekmal+IwzbBY2xuEqo1ZZ2MgomPpO5dChQ3j55ZcQFBQkfT344EOXm3rxxRfx7bff4K677kJ9fQPq6mrx0ksv69sVP8cELJIAC5sbhIXgdLS1oWjDRsrWfIp2tQoRDz6AMbf8ig83W+Rq5kEZmoCwf04ryMTW43tQ3ViHeVTEM2F0NHzpzE0HZTINIm5o0A6urtDUN6Lko89RtXU3/EeOwOTVz8JF1IaijA5fRICFDS+DHgiwsLHxJSKEyrhx46StZhs3bsTTTz+FzMwsxMRcOgw8e/YsTJuWcvl8zZgxY7B582belmbj60Zu02dhc/2Iipo1ivPnsOt3j6Ou/CRGLJyDiX/4HRXi5C0ycvs54Plcn4AQNxmlx7Fmz3eobqjByuQlmDI6Bn5evlC1qtFJGRZDXI5UN6f26HGUkrip3noQk155GkOSkyRxA8rs2PzFwsbml0BPAFjY9ERI5t//05+ewLFjx7B16zaI37/yyisoLj5xWbjY29vRJ1L/9w+2+POWLVswa9ZsmZPh6dkSARY21492a3Mzjr31NnLe+wgDExMQ9ZuHqYhgFOzo0DNfTMBWCAib50ZVM3LOFOHtLWugbtNgdsw0zApPQh9vPzSpFJIVNG0q0x+JeN6ZnNA67FCRthfF/3kfdk0KTH3tBfQZH8q1bQRZFjb6ry8beZKFjY0E+nrTFELlrbfeumr7Wde9YovaqlWrUFhYKP2V+HNcXOxVQsfG8fH0ZUKAhU33gWxrUeDi8RykPfwEnAI8MO6uVQhevJgro8tk3fM0dCMg6tg0kbg5Up6HDQd/gqpNjdjRkZgbOQ0B3r5QagyTubF3cYGysgpnf9yC4lffwtjbV2D0iuXwCwnRbcByvJuFjRyjatA5sbAxKE7ramw91aL4FbkaXZmhuXIGQsg88sjDyMjIlP5abEtbunRptyLIumbOo2UCVxNgYfPLFdFJ52rqiovJMOBjlK79CWG/vQujli+DDxkG8MUEbJVAB/1jIdzS0grSsTPngJSpiRoVhnnRKfB09aAtaR1SIc/eXNJ5Gtop0VR2CgWv/xvq0nMYf+ctCFo4F662bq3OwqY3S8smnmVhYxNh7n6SK+gToL1k33ojxzOxPc3Pz18yDYiOjsaKFSttmBhPXa4EWNj8MrKKCxdQ/uNPOPLP/8B3dAjinvwD+ostaGztLNcfA56XDgREnZtd+QeRmpuO+pYmJIUnYPKYWPi6e0OUuOmtFbS9gyPaNW2ozjiI3P99HX3Hh2DMrcsxODHRtreBsrDRYZXa5q0sbGwz7tKsxTa0mTNnSudr+GICtkyAhc3V0e+g6uqnd+1G7kefoirzOKb+43kMTZ4KF/qQgy8mwAQuEWggcXOg+DA2HdqJivqLuHnKPMSMDIe/p6+0Zbs3RTzthFEAnWPrJDvpnBdfQ13GEQybnIDwB++HW99+thsCFja2G3stZ87CRktQcrut67zM6tUvXHY8k9sceT5MQFsCLGyuJiVq1hx75wOUfvcTRsybjolPP3FJ1LArk7ZLiu+zEQJiW9qx0wV48+fPoG5VYnHCXCSOi4e/lw9UdOZGZG/0vujnzd7VGY2Fxchb/To6ausx9tYVGHPbrXo3afUPsrCx+hAaewIsbIxN2ELbF/VphLUzO5xZaIB4WCYlwMLm/3CLszXH3/8Axeu+gZO7OyY//xf0mTAB9k5OJo0Jd8YErIGA2HLWqFQg//wJfJb6DbmltSJhXAymh00htzSyglZrpG1p+rqlCfdBkbUpX/c1zn//M9zIDnry88/CKzBQKuhpcxcLG5sLua4TZmGjKzGZ3C+MALZv384OZzKJJ0+jdwRY2PyXH4GoyMpE5suvQlVdi+ClSxB23z1wdHPjbE3vlhg/LWMCQrgoqHDtwZIj+PlIGhSaFkSMDMWcyGQEUJ0bNW3tbCdxoq+4sXdzQVNJGU6u/Rq1e9IROCMZ4fRz6ezrZ3vnbVjYyPgnyTBTY2FjGI5W14o4XxMSMvqylbPVTcBIAxYmCU8++RR8fX2k+j733HMPGyYYibUlNcvChnbMUCFOTXMTsl58Fad27ET/2ChEPPwQ+oSGWlKoeCxMwCIJiB1nzaoW7Mo7gLT8DDp/04T4MdGYGTEVXuSW1tELtzRR28auHaigQtrln6+FsvgUJv/9L/QzGgNnLy+L5GG0QbGwMRpauTTMwkYukdRhHl3na26++WasX79Bhyflf+sDDzyAd999V5qoEDnjxo3DG2+8weJG5qFnYQOIQpyVWYeQ+rsn4NavD8bf/WuE3HwTb0GT+drn6RmWgHBLSyvIwNZje1DdVI8F8TOQEBItuaUJq2iRudH5Ih8BBxc3qCoqcfrbzSh46S2MWjEPoXfdAf/Ro23LqZCFjc7Lx9YeYGFjaxGn+Xadr2HjgKuDX1JSgtvoUKY4dyQsrsUlhM7Jk+XsHCfznxNbFzai9kZDeTmyXnoVZd/+iLBH7sb4O+6Ad1CQzCPP02MChicgattklBynMze0day5HrdMW4opZAXt5ykMBS6dudH1Elkbe3sn1OcXIfuFl9CUmYP4v/wJQfPnwMWWatuwsNF16djc/SxsbC7klwptivM1a9eu7XUmQoikTz75RKL43HN/7XV7V4ZDZJZiYmL0itCNnr3emLsyNHsp3R8cHCz1K+r4fP/9Jt6yp1cUrOchWxc2qtoanNq+C7tu/QMGLJuE6N88hCGTJlG2xtl6gsgjZQIWQqCT/kERVtA5Zwrx7rYvoSFDgRnRSZgVnkiGAn5oVir1Gqm9szPalRqyYM/A0d8+jQGx4fQBxO0YkpxkO2dtWNjotXZs6SEWNrYU7f/OVZyvEVdx8YnLL/D6YhAv/tOnT8esWbP1baLb59avX4fa2lo8+OBDerUrhM2GDevx0ksvX/d5IXBGjAi6oRibODEOERGRl7en6TIYIZTWrVuHb7/9ljM+uoAzw722LGw6yAXtwsF0ZL//Ec7uPIDJL/8FgTOnw0PUymB7ZzOsRu5SDgTaKQvapGrG4fJcfJ2+Bao2NWJCIiRDAX8vPzIUUJPbmW5e0MIhzc7OAa2NTcj7xxuo3ZeFoFkpGHfHKngNGyYHbD3PgYVNz4xs/A7ZCZuuT+OLi4uk0IoClH/84x+7ffEW24zef/+9y/eJDEbXFiS5rgux3SokZJQ0PVFArLeXrsJGxEe88IsrOjq6W1EhRMnLL7/U6/M/PQmXnr4vxrFw4QJcmcHRlpfg/MgjD0uZMT7LpC01891ny8Km8eRJFJIAL/pqPfrHxSH2f34PH9qCxvbO5luP3LM8CIgzNQp1i3TmZlfOQTSrFYgKCcfsiGR4urqRsKH/D+u4Lc3O3kGyea49fhx5L70BF7JhH718GUYuXAg7Bwd5gLvRLFjYyD/GvZyh7ISN4CFenAMCArR6oRwzZgw2b97c68xFL+NgWIOCnwAAIABJREFUssffeedtPPzww4iNjUVGRmav+9VF2Ii+P/74Y6nfgQMHIDExsVvxIrIkV55z6c0gb9TWjYSNWEMJCZPwr3+90atslFhfv/vdY3pnnnozd35WewK2Kmw6WjUo3USHkdd8CUVFBab8/TkMmDgRTh4e2sPjO5kAE7ghAWEokJqfTl8ZqGtpRNKEBMSHRMLPw4csoO11EzeURbVzInFj54jid99H5a696BM0AlGP/QaegwfLP8vKwoZ/2nogIEthI+Ystlv19PIutjv5+vr26sXV2lZYV5bqvvvu12t71bXz1UXYiJf8xYsXSdvDREaj6xzLlW2KmGzcuLHX2ZquNoWYKqdD0d1tSbuRsFmxYjnuvffeXq2NLoFtiC1/1rbOrG28tipsmk6dxKHX3kDFwUMYNmcaJtM5Od5+Zm2rl8drDQQayVDg4Ikj+C5zOyrrq7B08jzEBodTnRt/iDM5wg5a64t2kzu5eqLhxAmcePdDtBSVYuxtKxCyfLn8i3aysNF6mdjqjbIVNuIluqGhHhcuVHQbW/HSKV5sb3QGQ46LQnAR2/Teeustg2QRtBU2XS/5IhNzo/M4wtjg739frbdpQHcxE9mh7tbB9YSN+PuoqMjL4xTiSJ+zPkKkPfbYY9ddg3JcX9Y6J1sVNsffeReFn6+Hx6CBSHj2TwgInWCtIeRxMwGLJyDc0o6fLsB/tqyhMzYqLEqYg6TxCfAntzQlFfjspF/aFvG0o8yNA21nO/fzVpz8cj3sGpox+/OP4OxNWSA6iyPbi4WNbENrqInJVth0OX9d7xyJeCF/8sknZX+m5tqF0mUckJmZZRDxoK2wES/5v/rVr254rqfLlex6YlTfRS+2o4lzVitWrLyqie6EjRjnzp27cNNNy6R76+vrpT931bbRZQwiOybmxLWCdKFmnnttTdh0UCX0htIS7HnsGbTTdrRRtyzBuNtX0YuSq3kCwL0yARsgIM7TNCoVKLhQis/SvoFSo0L82GhyS5uKfj4BUKiU0rY0rcQN/aNl5+wEddVFnKHaNqfXbMCYW5dj9C0r4S6MP+R6sbCRa2QNNi/ZCpuuLVfdbQPatm2r9MJ67Yuuwajq2ZDIDPz1r39FZWXldVsICRmtt/WwmPecOXOktg1hHCDa6UnYiD4/+OADZGfnSBk0ca5GXEIoXGvUIObfk4OYECO+vj7YtWsXnnjiT1JbO3bskP4rRER3GTgxxvr6hl+Ik2uFTVdW6Vr4jz/+eI+ZPfHsk08+JY1NXMuXr5CMBx577HeSgL7y0mcOei4pfkxLArYmbDT1dTj8xr+pZs0WBM6eJhXj9KNCf3wxASZgXAJCuLSQI9qBosPYciyNnNMUiBgRivkx06XMjZo+aGijIp5aiRtx3oZ+1Rw9jtKPPoOqoAwJf/8L+sfGyPecHAsb4y5QGbQuW2HTdUi+u61PV1aXt5QYivEePXrscqbg66+/wX333UeWxzXo+r0Y68iRI/TOMnUV5uyNOLqWV0/Cput+kUHz8fG5YfZCxEUIg+ttDxR9dX1PZFZee+01JCcnS3/XJWS7E2xd915rltCTK5q2a6M7o4Gu8VybGdN3DtqOhe/Tj4AtCZvW5mZUHj6MtD8+Ac8hQxF6z50Iop9PUSODLybABExDQAia3cJQIDedDAUaKHMTg9nhSfBy95DO22grbuzIFU1NpREqdqYi/2//wOhbbyKXtOXwHyPTDypY2JhmgVpxL7IVNl3ZiWvPkogXS3FwvruD69rEsatgozb3dt3j4+N9Q5cv8WL87rvvXf5kX4xdXOIsirAcLisrNUh2SRyIFwfzDWk/rK2wEedcusteXMlRjC8lJaXb8yxCnIwYMfLy9rmurW1dwuFKZtfGpsu2+dotboYSNt3VuukS1lcKrd7MQZf1xvfqTsBWhE1neztqi4qQ+/EnKPzwS8T8+Y8Iuekm26mBofvS4CeYgNEINCibsLcwCz8fTcPFhhosmjQbCSHR8PXwhqiD065N5kbUpaMzNaqzF3Dsr39HW2UNJtx9B0bMnyfPrA0LG6OtR7k0LFth01Wv5cptROIF99ChLL0Oghsz4ELYXLkt68qMknj5FkJEXyF25bi7jANWr37hF9uj9J2fNsJGW+OA652FEWMTwuVK0wHR72effabVwfyutXBtNscQwqZLYF275VGItIaGhqsKc/ZmDvrGh5/TjoCtCBs1bUEr/2kr0p97Ae4D+2HqC8+jf0w07KguBl9MgAmYnoDI3GSWHsenuzeioaUJK5MXY9LoWPi4e0FDZ+GEoUBPl6g51aFuQ0XqbuT+72sYMjkWY++4Df0jo+TncsjCpqflYPPfl62wEZEVB+WvzE5Y4ha07lag2La1des26VviBbm78yj6rNwu44CenMl0aVsbYdOVPaupqbnhNjohvLStG6PN1raueXQJK2MIGyHGxHXtNjcxlzvvvPOGAlKXOegSE75XdwK2ImzOHziA7Pc/RPmmrZj66t8QRJ/quvfrrzswfoIJMAGDEBBFPEWdm5yzhXh/+zragtaGlIgpmB42BX7izI1GI9lB3+gSLmjirE1rUzOO/L/noCwtx4jZMxD+4H1w8rp07lM2Fwsb2YTSWBORtbAR25+GDRsmvXSKT+dnzJhhECcwYwVDtCsyAIdp/3vXWRJDFasU2aq4uFhp6D0JDF3mp42wEezfeOOfPWZXhBh4jupoaGPqIESatpbVxszYiHFcWxOoS0j15Dynyxx0iQnfqzsBWxA2LRerkPfJGhRt/A6ewwci+fnn4R0YyGdrdF8u/AQTMCgBse1MZG6yyo5jU9YOKNvUiAoOw6yIJAR4+mqVuRHiRpyTO/vDTyh95zO4urhhwkN3kjnIbIOO1eyNsbAxewgsfQCyFjZCFGRlZVHdlhN4//33enS20iZYIuuTlpamza2X7+npjM2VjYlP8YU1cde2K/Gyv2bNml4Lsq4zH/379+9RYOgyOW2ETXfbsrrrQ8x96dKlPW4V7BJpV27/EmKipqa22y17xjpj0yVgrhVY11pbi/5jYmKumrKuc9AlJnyv7gRkL2xogmVbtyL3w8/RTHvxw397L0YvWQJHNzf5bVXRPfz8BBMwOwGRuRHiZk9hJtLyMtGsbkZE8ATJCtrT1R3otJOsoK97kUOavYszVFVVOPHmh6hLP4x+EeMx8akn4OznL5/aNixszL5WLX0AshY2xjgsb8yAdpdZEFmnZ599tseX/Z7G1eXSZUjjANGnNsJGm21Zoi0Rr6io6G63bwlhtnLlSmkrm+jzlVdeucqyWmSFHnjg/m63uomtcH/+859/sV3MEGdsRNZl7dq1V2WZhEATduIiUyj69vcPkIRNb+bQU3z5+70jIGthQ5NTVFQg8/V/4MK+TPQLC0P8n5+Ex8CB8nnZ6V34+WkmYDEEGmhb2t6iLOzOSUdNcx2SwychPiSSrKD9aLMZJFOB614O9nAgcVO5ew/Kqa6N+tQ5xPzPoxiSlHTpQww5XCxs5BBFo85B1sKm6wXYkGdKjBkNMd7U1NSrXsCFKEiif5T0KRB55Vi7sleGNA7QVtiIl39tYnC9ejNdZ3S62rjW2lkIwh07tl9X/F2vPo4hhI0QY0FBQZezgV19CTbinFSXvXNv52DMdcdt04ehPZ/PNSum1atXY9Ag2j5G9ubDhwfpNBZRjLN00yYcevV1qkrujfCHyBWSsjV8MQEmYJkERObm4Ikj+Dp9C7ml1WLZlHmIGxWBAC8/tJOzYfsNing6uLlCU9+I0+u/xZm138B/dDAmPv0kPAcPgp2Dg2VOWJdRsbDRhZZN3itrYdNVRb63osBUK0N80n/PPfdc9en/9V72dR1Tl3FAT+c+dG23p4xN15Yrbc71iJf/Rx997BcFSLuKXwoB0VWEs6vuT2RkBGVE/G94Lud6NtKGEDZiPEJoiUyTuMQ5LlFrqOvvoqIipW2FvZ2DrnHh+3UjIFdh00mf7mqoMO72h36L6ux8jFq2CFGPPQI3OVcm1y30fDcTsEgCzeoW5JwuxOs/fIi2znYsSpiN6RMuGQo0q1okQ4Fui3g6OsDRyRW1R46j5MNPcf7drUha9yKGpSTBhXYPWP3FwsbqQ2jsCcha2BgbnrW037XFTYy3uwKWvZlHT8JGiIfdu3ddZXt8o/6EANNGBOkyZpH1OnjwwC+2qRlC2OgyDr7XcgnIVdioSXiXU+Zw/zP/iwHxMZhATn1DpiXDnu2dLXcx8siYgPh/NWVlGpUK5J0twud7voNSo0bC2GjMi06hzI0viRtl925poqyNsyvaFSpUpu3FsT8/jwHRYYj67SPSNlRR88aqLxY2Vh0+UwyehY0pKJu5j67D7LGxsb84Z9LboXUnbETm5ciRo9JZGW0NAbrGITIdIgvz4IMP9XZo0vMiY/TMM093K6xY2BgEsSwakaOwaSeb2Oq8XKlmTf2JEoQ/8gBGLVksna3hiwkwAcsnIMRNi0aFfXTmZtuxvWhSKxBJbmkLY2bAm+rctNI20zYq4nntZWfvIH14oTh9DsUffIjKTbslw5CRi+Zb/88/CxvLX7hmHiELGzMHwBTdd501urJYqaH67U7YiAxJYOAwSUyIsz3X1ni5Ud8iu3Tbbbfq9MyN2hPb0O69996rint23c/CxlCrwPrbkaOwaT53DqU//Ij0//cigpbMRNiD96J/RCQX47T+5cozsDECos5NakE6duemo07RiCkT4jA9dAq83Twps9NJhgK/FDf2Do7o0LShNicHR373F/SdEIJxt62UjASs+qwNCxsbW/26T5eFje7MrO4JkTXZvn37L9y7DDGR7oSNOP9SX9+A8vJyqvFyn85W1aLN6OhorerZ9CSSnn76KaoNtKHb21jYGGIFyKMNuQmbjrY2nN+3H8ff/QDn9mQh5c0XMTQpUR577OWx5HgWTEAnAvUtjdhDmZufj6SiurFWOnMzMSQK/h4+0hbza62g7cj+2Y6yNp2aDmS//Apq92dhxKzpGH/n7dZdlJeFjU7rxhZvZmFjA1EXltGVlZUGP7si0PV0xkZfvEKMCRtlYe+s79VTGyxs9CUrv+fkJmxUNdXI+/wr5Lz/MQZOm4TJzzwDT96CJr+FyzOyKQKNqmYq4pmND3espzM3SnJLm49Jo2MkQ4HWttZfuDt2Fe1spFp+x57+G1ypgOfYX9+KEXPnWm/9KhY2NrXm9ZksCxt9qFnRM11FJA1dmLMLgRAHn3zyifTH5577a6+zLFeiFW2Lczr6XCJrNGPGzG4LdhpzzPqMlZ8xPwG5CZuTW7Yi79M1aDp5FlNf+zv6RUbKp46F+ZcLj4AJmIWAVMSTtqXlnzuB93asRWt7G6ZOiEdK2BQEePpC3ar5xbjEeRs7cko78dZ7qNqRhj6jyP75L0+T9buvdYobFjZmWXvW1CkLG2uKlh5j7aqfYujCnHoMhR9hAhZLQE7CRnmxCkde+TdtRTuIgVPjpBoWjp6eXIzTYlcfD4wJaE9AbDkTds+HyrOxKWsnFGolIkZOwOyoqZK40bS1U+bm6iKeDu5uqD2ajbIPPoOq/AzG37UKwUuXWKc7Igsb7ReLjd7JwkbmgRfZCXHO5K233jKY05jMkfH0bJCAbIQNFRot/eEH5L79kfTSEvn7hzEkZZoNRpSnzATkS0DUsBF1bvYUZiI1NwMNyiZEjQrDrMip8Hb1lGyg26mGFZUepi86a+PkiHalGqe/2YQLm36Cu7cPpqz+G9z69bU+ccPCRr4L20AzY2FjIJCW2oxwBdu4cSOKaY9tcHCwpQ6Tx8UEzEpADsLmUjHOOux75q+ozS/GsOlTEfnow3D2oS0nfDEBJiA7Ag20LW0viZtdOQdR01yP6ZFTEE+GAuLMjdA0wgq6q4ing4sL6vOLcGrtBlT9nIq4//c4hoqinb5+1sWFhY11xcsMo2VhYwbopuxSGAeI68KFClN2y30xAasiIAdh06ZU4vz+fdj7h/+Ff9gYhD1wFwYnTrGqOPBgmQAT0I1Ak0qB9JKj2HDgJ8kt7abEBZK48adtaa3kjtjeeUnc2DnYo12lQcWOVBS9/ha8hwxGAp218Rsz2rq2qbKw0W2B2ODdLGxkHPQu4wA+XyPjIPPUDEJADsKmhc7WpD3xFKp2ZyLssfsQet/dcKKzNXwxASYgbwLizE32mUL844cPJNtnYQU9IyxRsoJuVCooedMJO8rg2JErWlNpOcrIWOTMB18j6e2XMGxminVldVnYyHsxG2B2LGwMANFSm+gyDhC2yStWrLTUYfK4mIDZCVi7sFHX1eJMahp2PfR7DJ2ZjLD77sGgKZOt65NYs68CHgATsE4CQswIAXP8dD6+2Ps9VBoN4sdFY0H0dAR4+ZLZgFISPKJoZ1tLC2oyDlPRzqcxOGkyQu/5NQbGTbSeibOwsZ5YmWmkLGzMBN4U3YoaM6+88opUvIsvJsAErk/AmoVNZ3s7Lh4/jmNvvYOTm3cg/rmnMGLBfHgOGsQhZwJMwEYICOEiHNLS6MzN9uP7yFxAgehR4VgYMwOerh6SNbSwExCFO5VU1y7/tTfRdCQHo391M0KWL7Oeop0sbGxkRes/TRY2+rOz+CfHjKF99mETsH79hm7Hun79Ohw+fBhBQUHYtWuXdM/17rX4yfIAmUAvCFizsFFUVKCMnNCOvPEf+I8di9gn/4i+E8LgQNtO+GICTMC2CNS3NCG1IB1p+RmoUzQiMTQOSeMT4OPmJdWt6XCwQ6emDZUZGcj/2+sIGBmEcbeuxJDkJOuoa8PCxrYWtB6zZWGjBzRLfUScqfHz85eGV1JSgpCQUdiyZQtmzZr9iyELG+gjRw5fFjLCPS0qKlrvgpiWyoTHxQS0IWCtwqajtRXn9u1D7qef49ye/Zjy/F8wfPZsuAb00WbafA8TYAIyJCDEzd6iLPx0NBU1ZCiwKH42YoLDpTo3sLdHpzASaFHh6HMvoIUcFIcnJSLs/nvgbA0OaSxsZLhiDTslFjaG5Wm21h544AG8//57l22dxTa01NRUZGRk/mJMXaYCmZlZiImJkb4vsjtr1qy5/GezTYQ7ZgJmIGCtwkZZfRE5H3yEExu/g/fI4Uh+9SV4DBxItSmczECRu2QCTMBSCDSqmnG4PAcf7diAFo0SSybNRcKYaPh5+KKNtq05uXni9PZtKH3zQ7jRvxfhjz6IwVPIRZGyOhZ9sbCx6PBYwuBY2FhCFAwwBpFxyc7OwcGDB1BTU4tEsnndu3dft7VrukwFus7edAkdPotjgEBwE1ZJwFqFzekdO+hszdtoOn0W0X/8HUYtXQpRr8LiX06scpXwoJmA9RDooH/UmkjcFJ4vxXvbv6IzNu1InDARKWFTEODthzbK2qhralD85vuoSz+E/jGRmPjE/8DB3cOyTUdY2FjPIjTTSFnYmAm8obsV4kRsLxNb0crLy/H4449ftyDnoUOHsGrVKhQWFkrDuDK78847b+PBBx8y9PC4PSZg0QSsTtjQgNX1dch69XWc3XcAfSaMw0TK0noOHmzZLyUWvQp4cExAXgS6DAWySo/jh0O7oNC0IHxEKOZGT0OArz8V8LTD+R27cPKLjWg9VYGJf/sTCZwYOLq5WS4IFjaWGxsLGRkLGwsJhKmHIcSMEEG+vj7w9/fHhx9+iIiICOmMTdc5HVOPiftjAuYiYG3CRjihnaOMbMYLL8GOtpGMu+M2jF62jH7vaC6E3C8TYAIWSKCT/nFrVrdIbmlpuRloUDYiclQY5kYmw9c7QHJIK/lqI85u3Iyh0xIQ+fCDcB8wgD4gcbDA2dCQWNhYZlwsaFQsbCwoGDwUJsAEzEPAmoRN4LBAaJoakfXSqzi1dTu5GU1BxCOPwGfECPPA416ZABOweAL1yibsK8zCzpwDqGqswazoJEwZHYsAnwBUpmei+OPP0ZxdjKmv/A39oqMst7gvCxuLX2vmHiALG3NHgPtnAkzA7ASsSdgM6T8ANfn52H7XQ3Af1A+h995FZ2sWw46K7/HFBJgAE7gegQZlM9JLjmLd/s2oba7DzYkLMSUkBp6aDpT/vB3Zv38JE564E6NXLocPlYGwyLN6LGx4gfdAgIUNLxEmwARsnoA1CZsA2iKS/e57yH7xfYQ/8wDG//rX8AkOtvkYMgAmwARuTECU6m5SKZBzphD/+vETaNo0WBA/E3PCkuB8oQZpf3kW7eerMPGZJxE4Y7plbm1lYcPLnIUNrwEmwASYQA//wxf/xzfDdfJkGQ4dOowTJ0rg6emOOXPmYOjQYXB1vfrw7urVqzF02FBMiZsIR3JAS3v0CTj39UHsU49jWHIyHFxdzTB67pIJMAFrIyAMBRqVChw7nY8v930PpUaNSePjMHt0PFoPZSPjqb8jeMkcjLllBfzHjbO86bGwsbyYWNiIOGNjYQHh4TABJmB6AubI2LS0tGDXrp1UTPcETdgO7W3t6D+gH1JSUjBo0JCrIAhhMyxwGMIHDYaCCnEe+//t3Qd0FOXeBvAnvZIASYCQTodAQgkQQAgdpEkTrCAKeNVLUfR+13LtiggKqEjxIioCIiWgXBFEQicJJQQSEpLQUkjvhfR87yyigCHZJLs7s9lnz+Gc+8nszPv+/u+37LMz859316HXRwvQ8eGpsPP00D0Yj0gBCuitgBRuCkpu4ohoKPD7hePIF//br70vRrXrjfAFr8K4tBQdHnkYHcTni7GZwp6JxWCjt+tOVwNnsNGVNI9DAQooVkCOYJORkYqdOwNRKr5E9OjREzm52Qg+GYJHHnkU3t7ed1l9tGQJXByawV08LTx7X5DoZJSFoWs+gUPXrjDl2RrFrisOjAJKFpAaChyOCsWRyBBkF+djgE8/NP0lGMV7j8KtXx90e+FZNOvQQVlTYLBRVj0UOBoGGwUWhUOiAAV0KyBHsElOThDBZhcsxTMjRo0cidz8fKxbswZPPfW0CDo97gJY+uknsBWd0BzirqEsIhbtp0+E77OzYSFatvNFAQpQoL4CuSLcHI85g5/P/I6ELPEsGxMn2G8NgrNVU3R56lF0efwxZd1rw2BT31IbzPsYbAym1JwoBShwPwE5gk1aRgp2bt+JMnEJWl//figpLsbuXYF48skZ8PX1vTvYfPIJsk8eg+OVBHg4OGPE6uWw9fBQ3mUiXGIUoIDeCUjPuTlzNQIr92xARmYq2oWnwjutFL7inr4B774FSwdH0SDNSBnzYrBRRh0UPAoGGwUXh0OjAAV0IyBHsCkvL8fPP/+E8xERqEQVykWwcXV1xdix4+AunlVz5+vLj5cg4YetcKkyRt9HpqPXSwthLD2MUylfNnRTJh6FAhTQgkCl+ACUuqVFJcVi9b5NuBYdiVan4jC00hEPLloEV9FO3thcIffaMNhoYQU0rl0y2DSuenI2FKBAPQTkCDbSMZOTkxAVHYX4hHhYWViiV6/eqnBjJS5Pu/P101tv4vqOPfDs0hkDXnsFzbt3r8cs+RYKUIAC1QtIDQWKSotx/kYsth35CVHBx+GUnI8JHn6Y+PY7MLO3B4wVcNaGwYZLuBYBBhsuEQpQwOAFjh07rnMDqcO0dMKlsCAfubm5MDc3h4Pqkg9j1Vhu/b0RrCrKcW3FKiRfjIZtn55o+8SjMLK20fl4lXzA25fJVMmRUJUM88cak7ruVUkrSqa25kom4tq5uzoV4uPnaGQoToQfR1ZKPLztWuHxSTNh69gaFeLzSOreqPpskqGoxsbGcG/lDNc2njIcnYfUFwEGG32pFMdJAQpoTWD58uVa2/f9dix9OTA1NYGFCDRmoqWq9KVcagFdUSG+OEh/Kf06WlkJ86REVOzaj5KmtkDv7jDt2JFfUO9EFUyqL6cCjbnm76utoKAQJaKdr5mZOezs7HS+zhV9wD/WjvQlvbKSqU+qlZmZKQqKbuJ6ylXE5V5HvmUZehg5wcWlI2ys7VWBRrKSI9hIY/Pv6Qe//v0Uvaw4OHkFGGzk9efRKUABBQh8//1GBYziniGIXycrRae09J07kB4chtZjR8FxSAAq77lMTXkD1+2IKkX4k+5XksKNFBD5ulvg4sWLSExMhKOjI3r27EmeewSktSP9sWTb9D9lTMX9e9Kfy5kJCDyzF/lxieji3Qt+nXrCpVkLkWzkCYGmpmbw6dQFXbr7cB1T4L4CDDZcHBSggMELlJWVK89AfNkqjLuMkOcXYF/cJfRZ8ByGPDULzR2clDdWGUeUl5eD9IxMWFhYwNXl7gebyjgsxRz60KEgXDh/Hm5ubpg4abJixqWEgUhnRzMzM8S9binw8fFRTucvBeBIPxicOHYEH3zwNpIrMtCyXzdMGzsN432HoIVoBS3Xy7iiEiaW5nIdnsfVAwEGGz0oEodIAQpoV0CJlzDlxMUhZtMWXFn/A/Y7WaL/UzMwZupUtHZ20S6Gnu09VzzYNL+wAJYi2Dg6iF+T+bpLICwsDFeuxKFFi5YYOHAQde4QKC0rRV5BHooKC+Hm4s5gc9tGfCCWlJXhUsQF7N20EamR53DWvAjW3m0xZOAwTO0zCl6ObvKsJTYPkMddj47KYKNHxeJQKUAB7QgoLdiUFRTg+m8HEP7ZGtjZ2mKvrSm6jRiOYcNH3NUKWnWz/B+DNxKXrhniq7S0VFxKVAYTE1PVWRu+7hbIEmck8sXDXS0trdBS3HjN118CFZUVkM7WVoozN9bW1qS5Q6BcNC3JycpEvLiUMfdEMA7s3oVT1uJerd6dMUiEm+n9xsKlaUuYif+/0+mLwUan3Pp4MAYbfawax0wBCmhUQGnBJjs6GlEbNyN2SyD8/zUf265fgUfXLhg44AF4enqp5l4qvswnJSQgLS0NJsYmcHVzQQunljA2MdGoDXem3wLS/SP5+bnIz8tDc3GfjbWVDaTuUnxR4H4C0mVoOTnZSEpORkZaCsxTMnFt7Qacy01CTEcHmPTuhEHefTET9rbgAAAe3klEQVSmx2C4N3eBpWhMobMXg43OqPX1QAw2+lo5jpsCFNCYgJKCTWVJCeJ2/4yL33yP4tQMPLjla6wODISLCC4D+w9QBRvpTM2N1GQcDgrCZXEfjnSmonPnTggYOBC2TewZbjS2MvR7R9IX1IysDEREReLK1TgMfiBAXHLlwTNb+l1WrY/+5s0iRIgHB58NDxMBJxfWorGCzfFgmF1NxA3XJrjQ2x0pFQWY3HskhnUVn0lOrrAw1VG4YbDRev31/QAMNvpeQY6fAhRosICSgk3+9es4++nnSDhwGO7jh+GBd9/Fx59+itatnTFo0CBVsJF+hT948ACCg0NU3ZxsbKyRlJSER6c/jHbtO8GKz7lp8JpoDDsoEm2eTx4/jsBfdiI2MQZvznsH3cXDXW1s+BykxlBfbc0hNTkBx04GI1E0VWjfpg1OhIbANjUdLcOj0dLeDoUP9sc2sxSkigcLTxkwDuN6D4eno4voUK+DM4EMNtoqe6PZL4NNoyklJ0IBCtRXQEnB5vLu3Tj/5dcov1mKfu/+H1zEWZjFS5aI50i0RkBAwK1gI27s3S2ueb8eH6/q5iQ9n2TXrkAMHToUvXv3gb29fF2L6lsDvk/DAuL2q4LiImRmpOHkieMIDgnBtKmPwNfXl8FGw9SNbXfS50uxOHNcXHwT2dnZ2HvgN7Ru7gDzkNNAZDSsvDzQ9MXZWLlvI7JyMxDQ1R/TBo7XTUMBBpvGttw0Ph8GG42TcocUoIC+CSgh2EiXl5WK69qD31uM1NPn4Ny/D/r8+2VYiJDy4eLFqjM2gwcPVgWbMnHDfGDgTqSkpqKXnx+a2DbBDz9sVgWfvn390bRpM30rAcerBYFycVO89CU1NCQYe3/9FSNHjlQFX1vRkIIvCtQkUCKCTXp6quiodwWlYh21E2duis9H4NrWbciLvYx+i99HlHjea+DZ35CWnY5e7X3x2ODJcGvWCibaPHPDYMOFW4sAgw2XCAUoYPACSgg2leIL6A1x2VDwO0tg0dwe3s/MQJsxY1S1+fDDD+8KNtKlaNLzSc6cOYMmTWxVHZ3iLsdhwoSH4N3FW/wizy+uBr+obwOIMzcnT57AzsAdGD16tCr42oogzBcF7idQJO6xCTt9CqdDTyH/ZjE6dGgP3+490FR8UF7fuROXNm1F+7Fj0PaFuQjJuIy9pw8iOSsV/l38MMV/DFybt9LePTcMNly4DDZcAxSgAAVqFpA92Ehna0RL3lNLPkH8viB4jhkBn+fmwMb5Vnvee4ONdFO49Evq778fEPfWJMJMdCVq2aolxo8fL54w7wQz8YRuvihwW+B8+Hn8HnQAD4iuet7eXdnamEujRoFs8WyovXt+wtGgI7C2t4eXlyd69OyFju3aIf9MGM59vhoFiSkYvnYlLDu1xdEr5/BTyH4kpCZhnP8IjOgu7gUUz7nRSrc0BhuuXgYbrgEKUIACyg42FeKyj9zLl7HvybmwcXNG1zmz0Eb8Inr7dW+wkf67dNYmNjYG8aLZgPhRHu06dEAbcZkaW/lytd8rkCtaPaeKyxadHJuL+7Gaimf+sCU4V8n9BYpKihEbIz5brl1VNSeRXh7u7mjt4oqK1DRc+nE7Tr+xEr0Xv4SO06aiqqUDgmPP4uv9PyA5IwXTBk/ESBFuvJzcNP+cGwYbLl0GG64BClCAAsoONvmJiYjatAXnX1sH33fnoOPj02Dn6VljsJH+UjpzI/2RXlKgYajhSq9OQLp/S/pjZGSk+sMXBWoUEL+UqD5bxL01VVXi88XURHXfjGrtiP+Wei4M+2b9A7atW6GvuA/QRXRrLCi9iQjReW/ZztXIzsvGmL4jMLX/WHHmxlWz2Aw2mvVshHvjPTaNsKicEgUoUDcBOS9Fk+6tSQ0NxZGXX4f45oC+b74KtyEBMBHPprn9qu6MTd1myK0pQAEK1ENA+nC8MwyL/7vgxg1EbPgG0d8HirPLT6LT9Cmwbt0a+SXi3pxrEdh4aAcyc7Lg16E7pg2agA5OHvU48H3ewmCjOctGuicGm0ZaWE6LAhRQX0DOYJMnLiWL3RGI028vR+e509Btzmw069jxrsEz2KhfS25JAQpoV6CssBBp587h0MJX0bSdB7rMfAJeo0ZCOndcKMLNkehQ/HLmIFKz0tC9TVc8MXgSWjdtCXMTDdz7x2Cj3eI2gr0z2DSCInIKFKBAwwTkCjZV4rKOhKAghK9bj7SQcxj8xVK4DhwAi3vaNTPYNKy+fDcFKKA5AelzqyQnB0de/Q8ywyPhNXaUaHYyG9ZOLVQHyb1ZgMNRIdgXdgiJoqHAoG7+GN9nBNwdXGBpat6wgTDYNMzPAN7NYGMAReYUKUCBmgXkCjYl2VmI/O57RH79PZp1aochy5fd6oR2z30QDDZcwRSggJIEqsQ9ODHbtiNs2WpYO7dAjwVz4TZs2J9DlMLNydgz2H78f4i5HodpQydhuM8A8RBP14a1gmawUdIyUORYGGwUWRYOigIU0KWAXMEmOTQE4V/+F2mnw9H//dfgKR6gaCqeSXPvi8FGl6uBx6IABWoVEB+ahcnJOPzPfyMnNg5tHxmPPq/+H4xEE5Pbr8KSmwiPv4iPA9cgKysDkwaOw0PizI3UCtq4vk0sGGxqLY2hb8BgY+grgPOnAAVE5x8ZEMRBw9esFffX7IaVkyOGrFwKKwcnGFXTipfBRob68JAUoECNAlWi5fz5r9YjZuN2mNvZIeCLJbD38vrzM6xSajRQXIiLN+Kwcs965Ijn4wzq1g+PBEyCV/PW9dNlsKmfmwG9i8HGgIrNqVKAAtULyBFssi9dQsgHS5AXn4j20yai+9y5t74QVPNLJoMNVy4FKKBEgXTRRODcijVIDz0Pn5dno/Njj8Hkj2ffSOOtFO2ib5aW4MilUASe+AWZuZno2c4XjwVMhLsINybGdXymEoONEpeBosbEYKOocnAwFKCAHAJyBJsL/12PqG82w9bdFb0WzUPLXn73nTqDjRyrgsekAAVqEyjLy0Xkt1twafM28VnmjEFLP4SNaP1sbGp611vzxD03QZEnsf9sEG5kpqBvp16YIp5zI4UbC7M6NBRgsKmtJAb/9ww2Br8ECEABCugy2NzqKJSNg/MXoeB6ItpMGAOff8wWl3LYM9hwKVKAAvolID48k46fQOSGjUg6eByDVnwA14CBf+vsKE0q92Y+Dl8Mxs+h+3EtJQHj+o7EyO6D4OXkBkuzv57bVSMAg41+rQ8ZRstgIwM6D0kBCihLQJfBpqygAIlHj+Lo/Nfg5OeDbnNnwXXI4BpBeMZGWeuFo6EABf4SKEpLRez2QJx6fSm8HhuDHvNeQLMOHe5qJHB767ziAgTHheG/+zcjNS0FUwImYHSPwfBq4QYz47vP8lRrzGDDpVeLAIMNlwgFKGDwAroMNgVJSQj+YDGSfjmMznOeQOcZj6OJmyuDjcGvQgJQQD8FpCYCyaGhCFn8MfKuJmLAB2/CY+gQmDVp8rcJVUFqKFCEyKQYfLpzDTJzMjGq73BMe2ACPNVpKMBgo5+LRIejZrDRITYPRQEKKFNAV8FGOluTfDIEB2cuhEOfzvB9fg5cBwfA2Lzma8x5xkaZ64ajogAFhID4AM1PTBQdHnci9I1P0O3FWaKJwCNo3rlztTxSQ4GCkiKEXY3A5iO7kZ6Tjp5tpYYCD6GNk3vNpAw2XHI8Y8M1QAEKUKBmAV0Fm5y4OERv2opz734Jvw9fQodpk2En2qPW9mKwqU2If08BCsgpUF5YiPTz53Fo4b9g5eiALrOeRJuxY2BqZVXtsKqkVtAi3By7dAq/nD6IZNFQoEebbnhs8ES4NG0Fc1Oz6qfDYCNnmfXi2Dxjoxdl4iApQAFtCugi2FQUFyMh6BDOrVyNwoQ0BHy+GK38+1T7QM5758pgo83qc98UoEBDBaoqRVvnjHScXfEZrv9yAJ7jRqHr00/Bvk2bGnedK7qlHYkOwd4zQYgXDQUG+wzAONVDPF1gaVrNmWwGm4aWqtG/n8Gm0ZeYE6QABWoT0EWwyU9IxKUtWxGx5lu0nTZOdYOtrYtLbUNT/T2DjVpM3IgCFJBRoKKkBMnBwTj26luwdm4pgs0MeI0eXe1Dh+8cptRQ4HjMGfxw5CdcSbiM6cOmYLgIOF6ObrC498wNg42MFdaPQzPY6EedOEoKUECLAloPNuIACYcO48JX36oeZDdq0yo4dvNR62wNg40WC89dU4ACmhMQn3NSuDn0yv8hPSwc7kMD0PuVl0QTgfu3sr99cOmytPPxUfjoxy+Qk5+NiQPHYaL/aNFQwAXGdz60mMFGc/VqpHtisGmkheW0KEAB9QW0HWyk68/DvvgSl3ftQfOuXTDkk49gatuk2nao1Y2aZ2zUryW3pAAFZBQQH6YxgYGIWP2NuL/GEn3f+leNDx++PdJK6Z6b4kJVt7Qv93yDzLxsDPDug0cH3dNQgMFGxuLqx6EZbPSjThwlBSigRQFtB5uUU6EIW74KBfFJ8Jk3Bx2mTq318ow7p8tgo8Xic9cUoIBGBQpEh7Szyz9Dyulz8JowCr0XLVJr/1K3tKLSYhwXDQUCT+5FWnY6eohuaU8Mmwq3pi1hamwCMNioZWnIGzHYGHL1OXcKUEAloLVgI3ZcWVaKc6vX4squ/6GJhzv6vf067Dw8gDsvr6ilDgw2XKgUoIC+CFRVVCBq8xZxT+F21Q84w9d+BmunFjA2u0+ns3smJjUUOHzxJPadPYSkjGT4d/bDZP8H4e7QGpZVxjCyUG8/+uLFcWpWgMFGs57cGwUooIcC2go20j/w+Qnxqptpi1LT0HbyeHR//jm1L0G7Tclgo4eLikOmgAELpIWdRcT6jUjcfxR93n0ZbR4cDXP7puqJVAG5xfk4GhWK3SH7cDX5Osb1HYmRPQLQpqkzrGxs1NsPtzJIAQYbgyw7J00BCtwpoK1gI7V4jtu9G6c/+hwO3aQHcj4DZ3//OuMz2NSZjG+gAAVkFCjLy0XM9kDR/nk17Nu6Y9DSxarWz0bGxmqPKl/cc3Pqynms3b8ZKak3MGXweIztNgjtXGpuIa32AbhhoxRgsGmUZeWkKECBughoJdiInZbk5uDQS68g9VS4eGDd4+j+7ByY1uPXRgabulST21KAArILiM+/pGPHxb02X+DG7hMYvmMV3IYMVP+sjZjArYd43kR0chw+2bUO2UV5eLzfeMwc9rDs0+MAlCvAYKPc2nBkFKCAjgS0EWzKpCdxh4fjt5nz4NjLG91mz4Tb0CF1+sXy9vQZbHS0EHgYClBAYwIFSUmI2/Uzjs1/Ez4LZsL7mVlw8O5Sp/1LDQUKRbg5c/UCdp06gP6ePpgeMKFO++DGhiXAYGNY9eZsKUCBagS0EWzyrl1DxNcbcPGrrei+6Fl0eHjyraYB9Xgx2NQDjW+hAAVkFZCeaZN2NgwHX1gEMzsb9HxpHrxGjoCJpWWdxnXrzE0RTolw08rKHt5enev0fm5sWAIMNoZVb86WAhTQQbCR/kG/ceyEqmmAsbkp/N98FS4DHxDPdbCqlz+DTb3Y+CYKUEBmgcIbyQhft1Z0SAtE5yeno/Pjj8Ley6teo5LO3JhUVLJ5QL30DOdNDDaGU2vOlAIUuI+Aps/YSM9xiPlxB0Je+RhdFz2JbnNno2m7dvX2Z7CpNx3fSAEKyChQfvMmMiMjsP+Z+bBv7wHvp2egzejR9bokVzUNPsdGxmrqx6EZbPSjThwlBSigRQGNBhuxs/jfDyJ81Rqk/HQKw/eshsuAfjC3U7PVaTXzZLDRYvG5awpQQGsCVZWVqBDh5uD8F5EWFY22E8fB74UXYFaPJioMNlorU6PaMYNNoyonJ0MBCtRHQJPBpiQ7C5HfbcLF77aIe2pcMWTFMti6uKgeVFffF4NNfeX4PgpQQG4BKdxEb/kB51atho1zS/RauEBcmjuwfsPiGZv6uRnQuxhsDKjYnCoFKFC9gCaDTXJICMLXfoW0sHPwWzgP7adOrf+vk38Ml8GGK5cCFNBngazoaJx8+z3kXU9A2ykPwW/BfBibmgJGRnWbFoNN3bwMcGsGGwMsOqdMAQrcLaCpYFNZXo7Ib77FpR+3i0YBlhi8dAnsxEPpVP+AN+DFYNMAPL6VAhSQXUBqfx/+5Rpc2f0LrMVZm0FL3kcT0SWyzmeyGWxkr6XSB8Bgo/QKcXwUoIDWBTQVbApv3EDo4qXIuBAJt2GD0Pvll0RrU9EJra6/St4zYwYbrS8BHoACFNCyQGLQIZxfsx65MVfg98YitBnzIEzq2imSwUbLVdL/3TPY6H8NOQMKUKCBApoKNlf37kXYklUwtbVG94Vz4T58eANHduvtDDYaYeROKEABGQUKxA8/EV99jcs798B1+APo+9q/YdGsed06pDHYyFhB/Tg0g41+1ImjpAAFtCjQ4GAjdlBVUYGjb/wHiUHH4Tb4AfQU99fYODtrZNQMNhph5E4oQAEZBaQmAlf370f4+g0oiLmGEWtXwtHHB6bW1uqPisFGfSsD3ZLBxkALz2lTgAJ/CTQ02FSUFCP3yhXsnzUPFs2boMvMx9B+8iQYm5lphJnBRiOM3AkFKCCzQHZMDKI3/4iIj79Fr8Xz0WHqZFXXSLVfDDZqUxnqhgw2hlp5zpsCFPhToEHBRry5KCMdMdu249z7q+E1fQy6zZ6B5t7eGhNmsNEYJXdEAQrIKFCWn4/4g4cQ8s4S2Hq5iPsQX0RLv57iRyBz9UbFYKOekwFvxWBjwMXn1ClAgVsCDQk2lWVlyBQPnjvx6n9QlJiO7i8+h3aTx8PMzl5jvAw2GqPkjihAATkFxIdtVvQlnF31JeL3HkSf10UTgfFjYO3UUr1RMdio52TAWzHYGHDxOXUKUKDhwUZ6IGf874cQNH0BPGeNhc8/ZqNVr14N7oR2Z20YbLhSKUCBxiJQnJUpztoE4ciC1+A1+UF4z3xCfGb6qfeZyWDTWJaB1ubBYKM1Wu6YAhTQF4GGnLHJiooSz67ZiAvL1mPI+mXwGDtK/PrYQqNTZ7DRKCd3RgEKyCggNREoSknB/n+8gNL8AnSdNQOdp0+DsYVF7aNisKndyMC3YLAx8AXA6VOAAvW/FK38ZhGu7z+A8NXrUFZQhKGrVsChS2eNNQ24XRsGG65SClCgMQlI99qcW/sVojf8CM8xw9B93lw0cfeofYoMNrUbGfgWDDYGvgA4fQpQoP7BJu/qVURv2oqYzYHo+NRUeD81A9Yt1LxWvA7wDDZ1wOKmFKCA4gUqy8vFvYkXcfyV/8DE2hKdZzyGtg9NEM8yNqp57Aw2iq+t3ANksJG7Ajw+BSggu0C9LkUTb7p+4AAufrcF+XHxGLx6GZp37AjTuj5JW43ZM9iogcRNKEAB/REQn58VJSU4+dY7SD1zDs79/eH38kKY19Z0hcFGf2os00gZbGSC52EpQAHlCNQn2JQXFakuQbv6v1/RrEsHDP5kKYzNzWv/xbEe02awqQca30IBCiheIC4wEJHfboaJuQX6vPYyWvj61txEgMFG8TWVe4AMNnJXgMenAAVkF6hPsMm5FIPQ95ch9/I1+Cycg47THtbaPBhstEbLHVOAAjIKFKWl4vTHy5EcchYdH58C37lzYGRsfP8RMdjIWC39ODSDjX7UiaOkAAW0KFCfYHPhq68QszUQtm6u6Pf267DzUOPG13rOgcGmnnB8GwUooGgBqUNa1PebEP3DNpja2mDMhv/CRFzOe99ww2Cj6HoqYXAMNkqoAsdAAQrIKlCXYCP9Q1xWkI9DC15B3rXr8Bz/IHr883lxKYWaT86ux0wZbOqBxrdQgAJ6IZB65jQiN3yPpIMnEfDZB3D294eZrW31Y2ew0YuayjlIBhs59XlsClBAEQJ1CTbSDa83ThzH8VffgZ2XO7rNeRpuQ4dodR4MNlrl5c4pQAEZBW6mp+HSjztwftV6uA4fgN6vvIwmbm4MNjLWRJ8PzWCjz9Xj2ClAAY0IqB1sxIbF2Vk4/ekKXN29F+2mPASfZ2fDxtlZI+O4304YbLTKy51TgAIyClSWlSHx0GGcWf458i8nYNi6lWjZx6/6DpM8YyNjpfTj0Aw2+lEnjpICFNCigLrBpqK0FLlxcfjt2Xni0jMz+D4/F+0mT9JKJ7Q7p8tgo8Xic9cUoIDsAjkxsbi4cRPOfvgl+n38GtpPnVT9fYsMNrLXSukDYLBReoU4PgpQQOsC6gabInHJxPV9vyFo5r/R9eUn4T3zCTh06aL18THYaJ2YB6AABWQUKCsowI1jJ/Hr2KfhPL4fer00Dy6DBv59RAw2MlZJPw7NYKMfdeIoKUABLQqoG2zSL0Tg1NJlSDsZhn7vvw7PUSNg0bSZFkd2a9cMNlon5gEoQAEZBaoqKpBz+QqOv/E2sqJj4fvcM+g0fSosmjvcPSoGGxmrpB+HZrDRjzpxlBSggBYF1Ak20i+K1w/8juB3FqNZp3biKdkvwkk8TM7Y1FSLI2Ow0TouD0ABCihCoETcv3j55/8h9L1lcB89BF2feQotundnsFFEdfRnEAw2+lMrjpQCFNCSgDrBJic2Fpe2bEPk6k3o8dpzaC/urbF1cdHSiO7eLc/Y6ISZB6EABWQUkDpO5l+7hgPPL4CpjTU6P/EoOjw89e57GHnGRsYK6cehGWz0o04cJQUooEWB2oKN9Oyaa/t/w8X13yE3+iqGrPtUnK3pBlNrGy2O6q9dM9johJkHoQAFZBSQPmcri4tx8r33xf02oXAdMlDcazP/7st9GWxkrJB+HJrBRj/qxFFSgAJaFKgt2JTm5yPi6w249MN2OPbwwQPvvAlLB8f7Px1bw2NlsNEwKHdHAQooVuDKnj0IW7ZGBBo79PrXP+Hcv/9fY2WwUWzdlDIwBhulVILjoAAFZBOoLdgkh4Yg/PN1yI6Mht8bi9BmzBiYWFrqbLwMNjqj5oEoQAGZBfLj43Hy/Y+QcykObSeOQc8F8//6EYnBRubqKP/wDDbKrxFHSAEKaFmgpmBTVV6OiG++QeyOn2Bhb4+Bi99BE3cPGJmYaHlUf+2ewUZn1DwQBSggs0CFuBztgjhDfnnnz7Bs2hQBy5fApnXrW5+5DDYyV0f5h2ewUX6NOEIKUEDLAvcNNuIvClNTEfz2YmRHX1J16um1cAFMLCwg7mjV8qgYbHQGzANRgALKERCfu4mHj+DCug3IiYpF3/dehfuwYTC1smKwUU6VFDsSBhvFloYDowAFdCVwv2BTJf0DGxSE0x+tFI0CrODz3Cx4jBqlq2H9eRyesdE5OQ9IAQrIKFCQlITIr79VnbVxHREgmggshHWLFjAqr4CRhZmMI+OhlS7AYKP0CnF8FKCA1gWqDTbiP0rtR08vX4H434LEDax90f25Z3XW4vnOSX/00WI4OzsjICAAnp5eWvfgAShAAQrIKSA9sPPq3l8RsX4DitMyEfDZUjh08YapiSmDjZyF0YNjM9joQZE4RApQQLsC1QWbytJSFN64gcP/fl1142rHqVPQbtJDOr0E7fasV6z4FC1atMSAAQPg4eGpXQzunQIUoIACBLKionBp6zbEbNoB/3fF5WjDh8LKvhmDjQJqo+QhMNgouTocGwUooBOBqqKSvx9HpJ3KchFuUlLF3xnB3M5ONA+wU/1vXb8yMtJhamYKG2trmJmJ+3v4ogAFKNDIBSpKilGSk4uS3FzVZWjmtjaigYA4Y2Oju46UjZy4UU6PwaZRlpWTogAF6iJQVXCzLptzWwpQgAIUkEnAyFY0EeCLAvcRYLDh0qAABQxegMHG4JcAAShAAT0RYLDRk0LJNEwGG5ngeVgKUEA5Agw2yqkFR0IBClCgJgEGG66PGtdHZWVtz9wmIAUoQIHGLcBg07jry9lRgAKNR4DBpvHUUhsz4RkbbahynxSggF4JMNjoVbk4WApQwIAFGGwMuPhqTJ3BRg0kbkIBCjRuAQabxl1fzo4CFGg8Agw2jaeW2pgJg402VLlPClBArwQYbPSqXBwsBShgwAIMNgZcfDWmzmCjBhI3oQAFKEABClCAAhSgAAWULcBgo+z6cHQUoAAFKEABClCAAhSggBoCDDZqIHETClCAAhSgAAUoQAEKUEDZAgw2yq4PR0cBClCAAhSgAAUoQAEKqCHAYKMGEjehAAUoQAEKUIACFKAABZQtwGCj7PpwdBSgAAUoQAEKUIACFKCAGgIMNmogcRMKUIACFKAABShAAQpQQNkCDDbKrg9HRwEKUIACFKAABShAAQqoIcBgowYSN6EABShAAQpQgAIUoAAFlC3AYKPs+nB0FKAABShAAQpQgAIUoIAaAgw2aiBxEwpQgAIUoAAFKEABClBA2QIMNsquD0dHAQpQgAIUoAAFKEABCqghwGCjBhI3oQAFKEABClCAAhSgAAWULcBgo+z6cHQUoAAFKEABClCAAhSggBoCDDZqIHETClCAAhSgAAUoQAEKUEDZAgw2yq4PR0cBClCAAhSgAAUoQAEKqCHAYKMGEjehAAUoQAEKUIACFKAABZQtwGCj7PpwdBSgAAUoQAEKUIACFKCAGgL/Dwj60osJSOBzAAAAAElFTkSuQmCC"
    }
   },
   "cell_type": "markdown",
   "id": "00a33551-f2b8-4f29-85e0-0774421b3717",
   "metadata": {},
   "source": [
    "![image.png](attachment:fc49c807-08d8-4bb2-905e-0e9f4b587718.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "fa9ec740-a032-43c3-97fa-82ae8f999921",
   "metadata": {},
   "outputs": [],
   "source": [
    "f1=2*x-x*x\n",
    "f2=2-x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "3dcf7c6e-3243-4134-af8e-dcc04b0d6ca7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle V1=\\int\\limits_{1}^{2} \\pi \\left(- x^{2} + 2 x\\right)^{2}\\, dx$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "V1=MyIntg(pi*f1**2,'V1',var=x,x1=1,x2=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "d8ae8704-6af2-4269-ac33-8a47f28199b6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle V2=\\int\\limits_{1}^{2} \\pi \\left(2 - x\\right)^{2}\\, dx$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "V2=MyIntg(pi*f2**2,'V2',var=x,x1=1,x2=2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "98d946c7-115d-4394-b22f-9d1f72b60851",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/latex": [
       "$\\displaystyle V1=\\frac{8 \\pi}{15}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/latex": [
       "$\\displaystyle V2=\\frac{\\pi}{3}$"
      ],
      "text/plain": [
       "<IPython.core.display.Math object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "V1.doit()\n",
    "V2.doit()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "44880a84-8dcc-4a64-a6d7-ddb06a26d536",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\frac{\\pi}{5}$"
      ],
      "text/plain": [
       "π\n",
       "─\n",
       "5"
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "V2-V1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "5034c4ae-7eb8-4dae-b2bf-94e61c3798dc",
   "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",
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