{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "456c2b53", "metadata": {}, "outputs": [], "source": [ "using PyPlot" ] }, { "cell_type": "markdown", "id": "79acc5cf", "metadata": {}, "source": [ "## Floating Point Precision\n", "\n", "Floating point numbers in Julia (and all modern computing practically) follows something called the IEEE floating point standard, where the number is split into:\n", "\n", "1. Sign bit (1 bit)\n", "2. Exponent bits (8/11 bits for single/double precision)\n", "3.Mantissa, the fraction part (all other bits)\n", "\n", "The idea is that any floating point number can be written as 1.(some digits) * 2^exponent\n", "\n", "This is why cutoff happens, you can imagine that there is a smallest number that can be represented using this with a finite number of bits, this is called machine epsilon, in Julia this can be seen using the `eps` command." ] }, { "cell_type": "code", "execution_count": 2, "id": "c941ce63", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Float16(0.000977)" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eps(Float16)" ] }, { "cell_type": "code", "execution_count": 3, "id": "95653ada", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "1.1920929f-7" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eps(Float32)" ] }, { "cell_type": "code", "execution_count": 4, "id": "13b547dc", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "2.220446049250313e-16" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" } ], "source": [ "eps(Float64)" ] }, { "cell_type": "markdown", "id": "8f13e693", "metadata": {}, "source": [ "These precisions are called half, single, double respectively (naming for historical purposes). I am sweeping a some details under the rug (subnormal numbers, exceptions, ...) but come ask me if you're interested. \n", "\n", "You may ask why we want less precision? Speed! The smaller the number the faster operations can be performed and sometimes you don't need your answer to be too accurate. There is actually development for 8 bit floating point numbers - driven largely by ML communities (e.g. Google)." ] }, { "cell_type": "markdown", "id": "305d6cf8", "metadata": {}, "source": [ "## Recursion\n", "\n", "Recursion is where a function calls itself on a smaller subproblem in order to compute something. This is basically coding up numerical induction.\n", "\n", "In numerical induction, you say that some hypothesis is true for all $k < n$ and that for the $k = n$ case, you can use the previous $k < n$ cases to solve it. This is how recursion works.\n", "\n", "As an example, let's consider the Fibonacci numbers:\n", "$$a_1 = 1, \\\\ a_2 = 1,\\\\ a_n = a_{n-1} - a_{n-2}$$\n", "Notice how for the nth number we need the n-1 and n-2 Fibonacci numbers. This thus suggests a recursive type structure on a problem with \"smaller n\"." ] }, { "cell_type": "code", "execution_count": 5, "id": "8790c8bd", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "fibonacci (generic function with 1 method)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function fibonacci(n)\n", " \n", " if n < 1\n", " return 0\n", " end\n", " if n == 1 || n == 2\n", " return 1\n", " end\n", " \n", " return fibonacci(n-1) + fibonacci(n-2)\n", " \n", "end" ] }, { "cell_type": "code", "execution_count": 6, "id": "a49cd2dc", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "13" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "fibonacci(7)" ] }, { "cell_type": "markdown", "id": "d4eae5b6", "metadata": {}, "source": [ "It works! It might seem a little bit mystical but the idea really is that if we get the base cases right (where you don't need to use some recurrence relation) and can combine smaller cases correctly then by induction it should just work." ] }, { "cell_type": "markdown", "id": "90cce50e", "metadata": {}, "source": [ "__WARNING__ While recursion is often easy to code up, it actually tends to have very poor performance compared to iteration unless you are extremely careful. This is because everytime you reinstance the functionyou allocate new memory for that without releasing the memory for the original function call which can grow exponentially.\n", "\n", "In fact anything you can do with recursion you can do with iteration and in practice people just use iteration. However for things like recurrence relations it is often conceptually easier to use recursion for prototyping etc." ] }, { "cell_type": "markdown", "id": "98c16265", "metadata": {}, "source": [ "Let's do another example that recursion is famous for - drawing fractals. A fractal is a shape is a pattern that contains itself infinitely many times. Famoous examples are the Mandelbrot set (in you hw) and the Sierpinski triangle which we will do here." ] }, { "cell_type": "code", "execution_count": 7, "id": "03d493cf", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "drawTriangle1 (generic function with 1 method)" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function drawTriangle1( x,y,radius )\n", " \n", " ptsx = [ x+radius*cos(pi*0.5), x+radius*cos(7*pi/6), x+radius*cos(11*pi/6), x+radius*cos(pi*0.5) ]\n", " ptsy = [ y+radius*sin(pi*0.5), y+radius*sin(7*pi/6), y+radius*sin(11*pi/6), y+radius*sin(pi*0.5) ]\n", " \n", " plot(ptsx, ptsy, \"k.-\")\n", " axis(\"equal\")\n", " \n", "end" ] }, { "cell_type": "code", "execution_count": 8, "id": "527b065b", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "drawTriangle1( 0,0,1 );" ] }, { "cell_type": "markdown", "id": "e42fc4ff", "metadata": {}, "source": [ "So this is the base case - or the base shape. Let's now look at the n=2 case." ] }, { "cell_type": "code", "execution_count": 9, "id": "4df3d748", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "drawTriangle2 (generic function with 1 method)" ] }, "execution_count": 9, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function drawTriangle2( x,y,radius )\n", " \n", " ptsx = [ x+radius*cos(pi*0.5), x+radius*cos(7*pi/6), x+radius*cos(11*pi/6), x+radius*cos(pi*0.5) ]\n", " ptsy = [ y+radius*sin(pi*0.5), y+radius*sin(7*pi/6), y+radius*sin(11*pi/6), y+radius*sin(pi*0.5) ]\n", " \n", " plot(ptsx, ptsy, \"k.-\")\n", " axis(\"equal\")\n", " \n", " drawTriangle1( x+radius*cos(pi*0.5)/2, y+radius*sin(pi*0.5)/2, radius/2 );\n", " drawTriangle1( x+radius*cos(7*pi/6)/2, y+radius*sin(7*pi/6)/2, radius/2 );\n", " drawTriangle1( x+radius*cos(11*pi/6)/2, y+radius*sin(11*pi/6)/2, radius/2 );\n", " \n", "end" ] }, { "cell_type": "code", "execution_count": 10, "id": "a4da7271", "metadata": {}, "outputs": [ { "data": { "image/png": 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fn5ycHF588UV+++031ZEs5qmnnuLo0aO4uLiQkJBAyZIlVUcSwq5Iy4sQwiw6duxITk4OTk5ODtPqctfdodOZmZn06NFDdRwhHJoUL0KIQgkNDTVNLDlgwAB8fHwUJ7KsKlWqmKZ1+Pnnnzl79qziREI4LrltJIQolCpVqhAZGYmnpycJCQn5JpN0BJmZmXh5eXHnzh3q1q3LmTNnVEcSwm7IbSMhRLGaPXu2ad2w77//3iELF8idNXzKlCkAnD17luDgYMWJhHBM0vIihLivv7c21KlTR26XIK1QQpiDtLwIIYrN+++/z507dwBYv3694jTW4W6LS3JyMp999pniNEI4HilehBD3FBERYZrj5PXXX6du3bqKE1mHFi1a8OyzzwIwa9YsEhISFCcSwrFI8SKEuKcOHTqgaRouLi4sX75cdRyrsm7dOpycnMjOzqZLly6q4wjhUKR4EUIU6Ndff+Xo0aMAfPHFF5QqVUpxIutStmxZPvzwQwB+++030/8rIYT5SYddIUSBZD2fB3PEdZ6EMBfpsCuEeCQTJ07k5s2bACxZskRtGCum1+uZM2cOAJcvX2b+/PmKEwnhGKTlRQiRR1paGt7e3mRmZtK4cWOOHTumOpLVq1WrFuHh4ZQsWZKkpCQMBoPqSELYHGl5EUI8tJ49e5KZmYlOp5Oh0YW0bt06AG7fvs1HH32kOI0Q9k+KFyGEyfnz59mwYQMA3bp1IyAgQHEi29CoUSNeeeUVABYuXMiNGzcUJxLCvknxIoQwuTs02s3NjcWLF6uOY1NWr16NwWDAaDTSsWNH1XGEsGtSvAghAAgJCeHPP/8EICgoCBcXF8WJbIuHh4dptt3Q0FB27dqlNpAQdkw67AohMBqNlClThqSkJCpWrMi1a9dUR7JJRqORcuXKkZCQQIUKFbh+/brqSELYDOmwK4QokuHDh5OUlATk3v4QD0ev17No0SIAbty4wbRp0xQnEsI+ScuLEA4uKSmJcuXKkZ2dTatWrdi3b5/qSDavUaNGnDp1Cjc3NxITE3Fzc1MdSQirJy0vQohC69q1K9nZ2ej1etOQX/FoNmzYgE6nIz09nT59+qiOI4TdkeJFCAd2/Phxtm3bBsD777+Pv7+/4kT2oUaNGqYRR8HBwbJsgBDFTG4bCeHAHnvsMS5evEipUqVITEyUmWGLUXp6Ol5eXmRkZPDEE09w4sQJ1ZGEsGpy20gI8UCLFy/m4sWLAHzzzTdSuBQzNzc3xo8fD0BYWBgbN25UnEgI+yEtL0I4oJycHLy8vEhNTaV69eqmIkYUv/LlyxMdHU2ZMmWIiYlBr5fvjEIURFpehBD39fHHH5OamgrA2rVrFaexb8uXLwcgPj6esWPHqg0jhJ2QlhchHEx0dDQVK1bEaDTSpk0bU4ddYT7Nmzfn0KFDODs7k5CQQKlSpVRHEsLqSMuLEOKeOnXqhNFoxGAwEBwcrDqOQ1i/fj16vZ6srCy6deumOo4QNk+KFyEcyL59+0yT0A0ePBgvLy+1gRxEhQoVePvttwH45ZdfOH36tNpAQtg4uW0khAOpVKkS169fx8vLi/j4eOk8akHZ2dl4enqSlpZG7dq1OXfunOpIQlgVuW0khMhn1qxZpoUC58+fL4WLhRkMBqZPnw7A+fPnWblypeJEQtguaXkRwgFkZmbi6elJeno69evXl9sWClWtWpWrV6/i4eFBYmKiFJFC/H9W1/IyZ84cqlWrhpubG4GBgezdu/e++2dkZDBixAgCAgJwdXWlRo0appVahRBF984775Ceno5OpyMkJER1HId2d2h6SkoKgwcPVpxGCNtk9uIlODiYgQMHMmLECE6cOEHr1q155ZVXiIiIuOdzOnfuzO+//87ChQs5f/48q1atok6dOuaOKoRdunr1qukWxX/+8x9q166tOJFje+qpp3j++ecBmD17NnFxcYoTCWF7zH7bqFmzZjRu3Ji5c+eattWtW5c33niDoKCgfPtv3bqVrl27cunSJXx8fIp8PLltJERegYGBHD9+HBcXFxITE3F3d1cdyeHFx8fj5+dHTk4Ozz//PDt27FAdSQjlrOa2UWZmJseOHaNNmzZ5trdp04YDBw4U+JyNGzfSpEkTpkyZQsWKFalVqxZDhgzhzp07Be6fkZFBSkpKnocQIteWLVs4fvw4AKNHj5bCxUqUKVOGTz75BICdO3dy6NAhxYmEsC1mLV7i4uLIycnBz88vz3Y/Pz+io6MLfM6lS5fYt28fp0+fZsOGDcycOZN169bx3//+t8D9g4KC8PT0ND0qV65c7OchhK3q3bs3AL6+vowYMUJxGvF306ZNM3277NKli+I0QtgWi3TY1el0eX7WNC3ftruMRiM6nY4VK1bQtGlTXn31VaZPn86SJUsKbH0ZPnw4ycnJpkdkZKRZzkEIWzNu3DhiY2MBWLZsmeI04p/0ej3z5s0Dcvsl/f3WuhDi/sxavJQtWxYnJ6d8rSwxMTH5WmPuKl++PBUrVsTT09O0rW7dumiaxrVr1/Lt7+rqioeHR56HEI4uNTWVr776CoAmTZrQtm1bxYlEQbp162bqQD1kyBCys7MVJxLCNpi1eHFxcSEwMJDt27fn2b59+3ZatmxZ4HNatWrFjRs3TCveAly4cAG9Xk+lSpXMGVcIu/HWW2+RmZkpQ6NtwLp16wBIS0vj/fffV5xGCNtg9ttGgwcPZsGCBSxatIizZ88yaNAgIiIi6NevH5B726dXr16m/bt3706ZMmXo06cPZ86cYc+ePQwdOpR33nmHEiVKmDuuEDbv7Nmz/PzzzwD07NmTKlWqKE4k7qdBgwa0b98egKVLlxbYwiyEyMtg7gN06dKF+Ph4xo8fT1RUFA0aNGDz5s0EBAQAEBUVlWfOl1KlSrF9+3Y++eQTmjRpQpkyZejcuTMTJkwwd1Qh7EKHDh0AKFGiBPPnz1ecRhTGqlWr8PHxISsri44dO3Lw4EHVkYSwarI8gBB2JDg4mK5duwLw7bff8vHHHytOJApr7NixjBs3Dsi9tf7SSy8pTiSEZRXl81uKFyHshNFoxMfHh+TkZCpXrnzfWayF9TEajfj5+REXF4e/vz9RUVGqIwlhUVYzSZ0QwnKGDh1KcnIykNsCI2yLXq9n8eLFAERHRzNp0iTFiYSwXtLyIoQdSEhIwNfXl5ycHJ555hl2796tOpJ4SE8++SRhYWG4urqSlJSEm5ub6khCWIS0vAjhYLp06UJOTg5OTk6mVYuFbVq/fj06nY6MjIw8IzGFEP8jxYsQNu7o0aP89ttvAHz44Yf4+voqTiQeRbVq1UydrtetW0d4eLjiREJYH7ltJISNq169OpcvX6Z06dIkJSWh18t3EluXkZGBl5cX6enpNGzYkJMnT6qOJITZyW0jIRzE/PnzuXz5MgDfffedFC52wtXV1TS31alTp9iwYYPiREJYF2l5EcJGZWdn4+Xlxe3bt6lZsyYXLlxQHUkUs4oVK3Ljxg18fHyIjY2V4lTYNWl5EcIBfPTRR9y+fRv43/o4wr6sWLECyB1NNmrUKMVphLAe0vIihA26ceMGlStXxmg08sorr7B582bVkYSZtGrVigMHDmAwGIiPj5e/a8JuScuLEHauY8eOGI1GDAYDq1evVh1HmFFISAh6vZ7s7GzTKCQhHJ0UL0LYmF27dhEaGgrAZ599Jt/E7Zy/vz/vvvsuAFu2bJGRR0Igt42EsDnSidPxSOds4QjktpEQdmratGncuHEDgAULFkjh4iAMBgMzZ84EIDw8nKVLl6oNJIRi0vIihI1IT0/H29tbJi5zYDVq1ODSpUsyIaGwS9LyIoQd6tOnD+np6eh0Opm0zEHdXS381q1b9O/fX3EaIdSR4kUIG3Dp0iXTB1fHjh2pUaOG4kRChSZNmvDSSy8BMG/ePGJiYhQnEkINKV6EsAEdOnRA0zRcXV1ZtmyZ6jhCoeDgYAwGAzk5OXTq1El1HCGUkOJFCCu3ceNGwsLCABg/fjxubm5qAwmlfHx8GDhwIAB79uxh//79agMJoYB02BXCihmNRnx9fYmPj8ff35+oqCjVkYQVMBqNlClThqSkJCpXrkxERITqSEI8MumwK4SdGDt2LPHx8QAsX75ccRphLfR6Pd9//z0AkZGRfPvtt4oTCWFZ0vIihJVKTU3Fx8eHrKwsmjVrxsGDB1VHElamXr16nD17lhIlSpCUlISLi4vqSEI8NGl5EcIOdOvWjaysLPR6PSEhIarjCCt09/fizp079O3bV3EaISxHihchrNDp06f55ZdfAOjduzcVK1ZUnEhYo7p16/LGG28A8OOPP0rfF+Ew5LaREFaoTp06nD9/Hnd3d5KTkzEYDKojCSuVlpaGt7c3mZmZNGnShCNHjqiOJMRDkdtGQtiwFStWcP78eQCmT58uhYu4L3d3d0aOHAnA0aNH2bp1q+JEQpiftLwIYUWMRiPe3t6kpKQQEBDAlStXVEcSNsLX15fY2Fh8fX25efOm6jhCFJm0vAhhowYPHkxKSgrwv3VshCiMuytNx8TEMGHCBMVphDAvaXkRwkrExcXh7+9PTk4Ozz//PDt27FAdSdiYJk2acOzYMVxcXEhMTMTd3V11JCEKTVpehLBBnTt3JicnBycnJ9asWaM6jrBBISEh6HQ6MjMzeeutt1THEcJspHgRwgocOnSInTt3AvDJJ59QtmxZxYmELQoICKBHjx4AbNiwgXPnzilOJIR5yG0jIaxA1apVuXr1Kh4eHiQmJqLXy/cK8XAyMzPx9PQkPT2devXq8eeff6qOJEShyG0jIWzI3LlzuXr1qum/pXARj8LFxYVJkyYBcObMGdatW6c4kRDFT1pehFAoOzsbT09P0tLSqF27tjTzi2JTuXJlrl27hpeXF/Hx8VIUC6tndS0vc+bMoVq1ari5uREYGMjevXsL9bz9+/djMBh44oknzBtQCEXef/990tLSAOQbsihWq1atAiApKYnhw4crTiNE8TJ78RIcHMzAgQMZMWIEJ06coHXr1rzyyisPXIMjOTmZXr168eKLL5o7ohBKXLt2zTQ3R/v27WnQoIHiRMKePP300zz99NNA7kzNSUlJagMJUYzMftuoWbNmNG7cmLlz55q23V1MLCgo6J7P69q1KzVr1sTJyYmffvqJsLCwQh1PbhsJW9GsWTMOHz6Ms7MzCQkJlCpVSnUkYWdiYmIoX748RqORNm3asG3bNtWRhLgnq7ltlJmZybFjx2jTpk2e7W3atOHAgQP3fN7ixYu5ePEiY8aMeeAxMjIySElJyfMQwtr9/vvvHD58GIBhw4ZJ4SLMwtfXlw8++ACAX3/9lePHjytOJETxMGvxEhcXR05ODn5+fnm2+/n5ER0dXeBzwsPDGTZsGCtWrCjUgnRBQUF4enqaHpUrVy6W7EKY090JxMqUKcPYsWPVhhF2bfbs2abiuFOnTorTCFE8LNJhV6fT5flZ07R82wBycnLo3r0748aNo1atWoV67eHDh5OcnGx6REZGFktmIcxl0qRJpuJ9yZIlMgpEmJVer2f27NkAXLp0iUWLFilOJMSjM2ufl8zMTNzd3Vm7di3/+c9/TNsHDBhAWFgYu3fvzrN/UlIS3t7eODk5mbYZjUY0TcPJyYlff/2VF1544b7HlD4vwpqlp6fj5eVFRkYGTzzxBCdOnFAdSTiIxx57jIsXL1KyZEmSkpIK1bIthCVZTZ8XFxcXAgMD2b59e57t27dvp2XLlvn29/Dw4NSpU4SFhZke/fr1o3bt2oSFhdGsWTNzxhXC7Hr27ElGRgY6nY7169erjiMcyN2h+Ldv3+bjjz9WnEaIR2P29urBgwezYMECFi1axNmzZxk0aBARERH069cPyL3t06tXr9wwej0NGjTI8/D19cXNzY0GDRpQsmRJc8cVwmzCw8MJCQkBoEuXLlSrVk1xIuFInnjiCdq2bQvA/Pnz79nvUAhbYPZ2wy5duhAfH8/48eOJioqiQYMGbN68mYCAAACioqIeOOeLEPagQ4cOaJqGm5sbixcvVh1HOKDVq1dTrlw5srOz6dixI/v27VMdSYiHIssDCGEBGzZs4M033wRg6tSpfPrpp4oTCUc1fPhw09pHe/bsoXXr1ooTCZGrKJ/fUrwIYWZGo5GyZcuSmJhIhQoVuH79uupIwoH9/fexYsWKXLt2TXUkIQAr6rArhICRI0eSmJgIwIoVKxSnEY5Or9czf/58AK5fv87MmTPVBhLiIUjLixBmlJKSQpkyZcjOzqZFixb3nVlaCEtq2LAhp0+fxs3NjeTkZFxcXFRHEg5OWl6EsBJdu3YlOzsbvV4vq0YLq7J+/Xp0Oh3p6en06dNHdRwhikSKFyHM5OTJk2zZsgWAd999lwoVKihOJMT/1KxZ09SJfNWqVVy5ckVtICGKQG4bCWEmtWrVIjw8XGY0FVYrLS0Nb29vMjMzefLJJ2XhRqGU3DYSQrGlS5cSHh4OwMyZM6VwEVbJ3d2dMWPGAHDixAk2bdqkOJEQhSMtL0IUM6PRiJeXF7du3aJatWpcunRJdSQh7svf35+bN29StmxZYmNjVccRDkpaXoRQaMCAAdy6dQuANWvWKE4jxIP9+OOPAMTFxTFu3DjFaYR4MGl5EaIYxcTEUKFCBXJycnjppZfyLUoqhLVq2rQpR44cwdnZmYSEBEqVKqU6knAw0vIihCKdOnUiJycHg8FAcHCw6jhCFNrdodNZWVn06NFDdRwh7kuKFyGKyf79+9mzZw+Qe+vIx8dHcSIhCq9SpUr06tULgI0bN/Lnn38qTiTEvcltIyGKSZUqVYiMjMTT05OEhAT0evluIGxLZmYmXl5e3Llzhzp16nD27FnVkYQDkdtGQljY7NmziYyMBOD777+XwkXYJBcXF6ZOnQrAuXPn5NansFrS8iLEI/r7t9W6dety5swZ1ZGEeCQBAQFERERIK6KwKGl5EcKC+vbty507dwAICQlRnEaIR7d69WoAkpOTGTp0qOI0QuQnxYsQjyAiIsI0R8brr79O3bp1FScS4tG1aNGCZ599FoBZs2aRkJCgOJEQeUnxIsQj6NChA5qm4eLiwooVK1THEaLYrFu3DicnJ3JycujUqZPqOELkIcWLEA9p27ZtHD16FIARI0ZQsmRJxYmEKD5ly5blo48+AmDHjh0cOXJEcSIh/kc67ArxkPz8/IiJiaFcuXLExMSojiNEsfv7Ol1Vq1bl8uXLqiMJOyYddoUwswkTJpgKlqVLlypOI4R56PV65syZA8CVK1f44YcfFCcSIpe0vAhRRGlpaXh7e5OZmUnjxo05duyY6khCmFWtWrUIDw/H3d2d5ORkDAaD6kjCDknLixBm9NZbb5GZmYlOp2P9+vWq4whhduvWrQNyC/d+/fopTiOEFC9CFNovv/xCt27d2LBhAwDdu3cnICBAcSohzK9Ro0a8+uqrACxcuJBevXrxyy+/KE4lHJncNhKiEFq1asWBAwdMP+t0OtLT03FxcVGYSgjLufu39e9atmzJ/v37FSUS9qYon99y41KIB/jll1/yFC4AmqbRsWNHqlevriiVEJZ16dKlfNsOHDjAL7/8Qvv27RUkEo5MihchHmDz5s0Fbv+///s/CycRwvps3bpVihdhcVK8CPEAr776KnPnzs23vVOnTtSsWVNBIiEsLzw8nLVr1+bb3q5dOwVphKOTPi9CPEBSUhLe3t55tpUoUYLk5GScnZ0VpRLCsu7cuYOXlxeZmZmmbTqdjrS0NNzc3BQmE/ZChkoLUYy6dOli+u/u3btTunRp7ty5w7x58xSmEsKypk2bRmZmJmXKlKFz585Abt+vt99+W20w4ZCkeBHiPo4fP86vv/4KwIcffsiKFSuYMmUKAGPGjCE+Pl5lPCEs4vr16wQFBQHw7bffEhwcbFqscc2aNVy8eFFlPOGApHgR4j7ufsMsVaoUs2fPBqBv3740atSIxMRExowZozKeEBYxbNgw0tLSaNWqFV27dgVg2bJluLq6omkaHTp0UJxQOBopXoS4h8WLF5u+Uc6ePRu9Pvft4uTkxMyZMwGYO3cup06dUhVRCLMLDQ1l+fLl6HQ6Zs2ahU6nA8DNzY0vv/wSgD/++IONGzeqjCkcjEWKlzlz5lCtWjXc3NwIDAxk796999x3/fr1vPzyy5QrVw4PDw9atGjBtm3bLBFTCJPs7Gw++eQTAGrUqEHv3r3z/Pvzzz/Pm2++idFoZODAgdhZv3chgNxVpQcMGADA22+/TWBgYJ5/Hzp0KP7+/gC88847GI1Gi2cUjsnsxUtwcDADBw5kxIgRnDhxgtatW/PKK68QERFR4P579uzh5ZdfZvPmzRw7doznn3+ef//735w4ccLcUYUw+eSTT7h9+zbwv3Vd/unrr7/G1dWVHTt28PPPP1synhAW8eOPP3LkyBFKlSrFV199VeA+y5cvByA+Pp6xY8daMJ1waJqZNW3aVOvXr1+ebXXq1NGGDRtW6NeoV6+eNm7cuELtm5ycrAFacnJykXIKcVdUVJSm1+s1QGvbtu199/3iiy80QKtevbqWnp5uoYRCmF9KSopWvnx5DdAmT558332bNWumAZqzs7N269YtCyUU9qYon99mbXnJzMzk2LFjtGnTJs/2Nm3a5Jtu/V6MRiO3bt3Cx8fHHBGFyKdjx44YjUYMBgOrV6++777Dhw+nfPnyXLp0ydQPRgh7EBQURFRUFDVq1DDdOrqX9evXo9frycrKMnXoFcKczFq8xMXFkZOTg5+fX57tfn5+REdHF+o1pk2bxu3bt02jPv4pIyODlJSUPA8hHta+fftMC819+umneHl53Xf/UqVKMXnyZAAmTJhAVFSUuSMKYXaXLl1i2rRpAEyfPh1XV9f77l+hQgX69OkDwKZNmzh9+rTZMwrHZpEOu3d7p9+laVq+bQVZtWoVY8eOJTg4GF9f3wL3CQoKwtPT0/SoXLlysWQWjunut0Zvb+973uP/px49etC0aVNSU1P54osvzBlPCIsYMmQImZmZvPTSS/z73/8u1HPmzZuHu7s7gAydFmZn1uKlbNmyODk55WtliYmJydca80/BwcG8++67rFmzhpdeeume+w0fPpzk5GTTIzIysliyC8czc+ZMrl+/DsD8+fNNQ6MfRK/XM2vWLACWLFnCkSNHzJZRCHPbsWMHGzZswMnJiRkzZhTqiyaAwWBgxowZAFy4cIEVK1aYM6ZwcGYtXlxcXAgMDGT79u15tm/fvp2WLVve83mrVq3i7bffZuXKlfzrX/+67zFcXV3x8PDI8xCiqDIzMxk+fDgADRo0KPI3x+bNm9OzZ08ABgwYIEOnhU3Kzs5m4MCBQO6M0g0aNCjS899//30CAgIA+Oijj2TotDAbs982Gjx4MAsWLGDRokWcPXuWQYMGERERQb9+/YDclpNevXqZ9l+1ahW9evVi2rRpNG/enOjoaKKjo0lOTjZ3VOHA3nnnHdLT09HpdKxfv/6hXiMoKIiSJUsSGhrKqlWrijmhEOY3f/58Tp06hY+PD+PGjXuo17i78nRKSgqDBg0qznhC/I/Zxz5pmvbdd99pAQEBmouLi9a4cWNt9+7dpn/r3bu39uyzz5p+fvbZZzUg36N3796FOpYMlRZFdeXKFU2n02mA1qFDh0d6rYkTJ2qAVrFiRS01NbWYEgphfvHx8VqZMmU0QJs9e/YjvdYLL7ygAZqTk5MWGxtbTAmFvSvK57dO0+yrfbsoS2oLARAYGMjx48dxcXEhMTHR1OnwYaSnp1O3bl2uXLnCqFGjGD9+fDEmFcJ8BgwYwDfffEP9+vUJCwvDYDA89GslJCTg6+tLTk4Ozz33HDt37izGpMJeFeXzW9Y2Eg5t8+bNHD9+HIDRo0c/UuECueu9TJ06Fcidgffq1auPnFEIcztz5gzfffcdkNtx/VEKFwAfHx/T8hq7du3i0KFDj5xRiL+Tlhfh0Hx9fYmNjS3S3EMPomkaL7zwArt27aJz584EBwcXy+sKYQ6aptGuXTt+/fVXXn/9dX766adieV2j0Yi3tzcpKSkEBARw5cqVYnldYb+k5UWIQhg3bhyxsbFA7houxUWn0zFz5kz0ej1r1qxhz549xfbaQhS3TZs28euvv+Li4mJqNSwOer2eefPmAXD16lXmzJlTbK8thLS8CIeUmppKmTJlyMzM5KmnnuLw4cPFfowPP/yQefPm8cQTT3D06FGcnJyK/RhCPIrMzEzq16/PX3/9xeeff86kSZOK/Rh169bl3LlzlChRgpSUlEe+JSXsl7S8CPEAb731FpmZmY80NPpBxo8fj6enJ2FhYSxatMgsxxDiUXzzzTf89ddf+Pn5MWLECLMc4+6q7Hfu3KFv375mOYZwPFK8CIdz5swZfv75ZwB69epFpUqVzHKccuXKMXbsWABGjBghcxUJq3Lz5k3TaLigoCBKly5tluPUr1/ftMTAsmXLuHbtmlmOIxyLFC/C4XTs2BGAEiVK8MMPP5j1WP/973+pU6cOsbGxfPnll2Y9lhBFMXLkSG7dukVgYCC9e/c267FWrlyJs7MzRqNR1j0SxUKKF+FQgoODOXv2LABTp07FxcXFrMdzdnY2rfcya9Yszp8/b9bjCVEYx48fZ+HChUDuraPCruP1sEqVKmVatPTw4cP5lowRoqikw65wGEajER8fH5KTk6lSpYpF52Bp3749mzZt4l//+he//PKLxY4rxD9pmsYzzzzDvn376N69u8UWUDQajfj5+REXF4e/vz9RUVEWOa6wHdJhV4gCDB061NTvZPXq1RY99rRp0zAYDGzatIktW7ZY9NhC/N2aNWvYt28fJUqUMMvoonvR6/UsXrwYgOjoaIKCgix2bGF/pHgRDiEhIYFZs2YB8Oyzz9KiRQuLHr927dr0798fyF2sNCsry6LHFwIgLS2NoUOHAjBs2DAqV65s0eO3b9+eJ554AsidZyk9Pd2ixxf2Q4oX4RA6d+5MTk4OTk5OpqGbljZq1CjKlSvHuXPnZMIuocTUqVOJjIykSpUqDBkyREmG9evXo9PpyMjIoGfPnkoyCNsnxYuwe0ePHuX3338H4KOPPqJs2bJKcnh5eTFx4kQAxowZY5rdVwhLiIyMNN0m+vrrrx95Ha+HVa1aNbp27QpASEgI4eHhSnII2yYddoXdq169OpcvX6Z06dIkJSWZfWTF/eTk5NCkSRPCwsLo168fc+fOVZZFOJbu3buzatUqWrduze7du9HpdMqyZGZm4unpSXp6Og0bNuTkyZPKsgjrIR12hfj/fvjhBy5fvgzAnDlzlBYuAE5OTqa+Nz/88AN//PGH0jzCMezbt49Vq1ah0+mYNWuW0sIFwMXFxdQKeerUKUJCQpTmEbZHWl6E3crOzsbLy4vbt29Ts2ZNLly4oDqSSefOnVm7di3PPfccO3bsUP5hIuyX0WikadOmHDt2jPfee4/58+erjmRSsWJFbty4gbe3N3Fxccq/XAi1pOVFCHL7t9y+fRtAWSfde5kyZQpubm7s2rWLDRs2qI4j7NjSpUs5duwYHh4eTJgwQXWcPFauXAlAYmIiI0eOVJxG2BIpXoRdunHjhmkG0VdffZVGjRopTpRX1apVTUNWP/30UxkyKswiJSWF4cOHAzB69Gj8/PwUJ8rr2WefpWXLlkBuJ+KUlBTFiYStkOJF2KWOHTtiNBpxdnZm1apVquMU6PPPP6dixYpcuXKF6dOnq44j7NDEiRO5efMmNWvW5JNPPlEdp0AhISHo9Xqys7Pp0qWL6jjCRkjxIuzOrl27CA0NBeCzzz6z2r5PJUuWZMqUKQB89dVXXL9+XXEiYU/Cw8NN62rNmDHD7Ot4PSx/f3/69u0LwNatWwkLC1MbSNgE6bAr7E6FChWIiorCx8eH2NhYq+4EqGkarVq1IjQ0lJ49e7Js2TLVkYSdeP3119m4cSNt27Zly5YtVt0p/O+d6x977DGZ+8VBSYdd4bCmTp1qWvBt0aJFVl24AKahqwA//vgjhw4dUpxI2IPt27ezceNGnJycmDFjhlUXLgAGg8H0Pvjrr79YunSp4kTC2knLi7Ab6enpeHl5kZGRQaNGjWxqDpU+ffqwZMkSmjVrxoEDB6y+6BLWKzs7m8cff5wzZ84wYMAAZs6cqTpSodWoUYNLly5RqlQpkpOT5X3gYKTlRTikPn36kJGRgU6nY/369arjFMlXX31FqVKlOHToECtWrFAdR9iwefPmcebMGcqUKcOYMWNUxymS4OBgAFJTU622g7GwDlK8CLtw8eJF0x++Tp06UaNGDcWJiqZ8+fKmeS4+//xzUlNTFScStig+Pp7Ro0cDMGHCBLy9vRUnKpomTZrw8ssvA7lFWExMjOJEwlpJ8SLsQocOHdA0DVdXV5u9Xz5w4ECqV69OVFQUQUFBquMIGzRmzBgSExNp2LAh7733nuo4D2XNmjUYDAaMRiMdO3ZUHUdYKSlehM3buHGjqX/Ll19+iZubm+JED8fV1ZVp06YBMG3aNNOaTEIUxunTp5k3bx4AM2fOxGAwKE70cLy8vBg4cCAAe/fuZf/+/WoDCaskHXaFTTMajfj6+hIfH0/58uW5ceOG6kiPRNM0Xn75ZX7//Xc6dOhgdcsaCOv099+bN9980+YXOjQajZQpU4akpCQqV65MRESE6kjCAqTDrnAYY8eOJT4+HoDly5crTvPodDodM2fORK/XExISws6dO1VHEjZg48aN/P7777i6uvL111+rjvPI9Ho933//PQCRkZF8++23ihMJayMtL8Jmpaam4uPjQ1ZWFs2bNzfNqmsPPv74Y7777jsaNWrEsWPHbPYWgDC/jIwM6tWrx6VLl/jiiy+YOHGi6kjFpn79+pw5c4YSJUqQlJRktbMEi+IhLS/CIXTt2pWsrCxTK4U9GTduHN7e3pw8eZIFCxaojiOs2MyZM7l06RLly5c3LcJoL+7eNr1z547NdkAW5iHFi7BJp0+fZtOmTUDu/C4VKlRQnKh4lSlThnHjxgEwcuRIEhMTFScS1ig6OpoJEyYAMGnSJEqVKqU4UfGqW7cub7zxBpB7W1j6voi7pHgRNqlDhw4AuLu7m0ZY2Jt+/fpRr1494uPjGT9+vOo4wgp98cUXpKam0rRpU9566y3VccxixYoVuLi4oGkab775puo4wkpI8SJszooVK7hw4QKQu1quvfYHcXZ2Nk3tPnv2bM6ePas2kLAqR44cYfHixQDMmjXLbqfSd3d3Z9SoUQAcO3aMLVu2KE4krIFFftvnzJlDtWrVcHNzIzAwkL179953/927dxMYGIibmxvVq1e322/WouiMRiMfffQRAFWrVuX9999XnMi8Xn75ZV577TWys7MZNGgQdta/XjwkTdMYMGAAAD179qR58+aKE5nXyJEj8fX1BeDtt99WG0ZYBbMXL8HBwQwcOJARI0Zw4sQJWrduzSuvvHLPe5eXL1/m1VdfpXXr1pw4cYIvvviC/v37212HTPFwBg0aREpKCpA7E6cjmDp1Ks7Ozmzbto3NmzerjiOswKpVqwgNDcXd3d1hZmO+O3N2TEyMqZ+PcGCamTVt2lTr169fnm116tTRhg0bVuD+n332mVanTp082z744AOtefPmhTpecnKyBmjJyckPF1hYrdjYWM3JyUkDtBdeeEF1HIsaOnSoBmi1atXSMjIyVMcRCqWmpmqVKlXSAG3ChAmq41hUYGCgBmguLi7a7du3VccRxawon99mbXnJzMzk2LFjtGnTJs/2Nm3acODAgQKfExoamm//tm3bcvToUbKysvLtn5GRQUpKSp6HsE+dOnUiJycHJycn1q5dqzqORd1tNr9w4QKzZ89WHUcoNGXKFK5du0bVqlUZPHiw6jgWFRISgk6nIzMz0247KIvCMWvxEhcXR05ODn5+fnm2+/n5ER0dXeBzoqOjC9w/OzubuLi4fPsHBQXh6elpelSuXLn4TkBYjUOHDrFr1y4A+vfvj4+Pj9pAFubh4WG6PTBu3DhZbddBXb16lSlTpgC5txNLlCihOJFlBQQEmIqWDRs2SCd2B2aRDrs6nS7Pz5qm5dv2oP0L2g4wfPhwkpOTTY/IyMhiSCysTZcuXYDcD/GpU6cqTqPG22+/TWBgICkpKYwcOVJ1HKHAZ599Rnp6Os8995zDDhtesGCBqWiTVacdl1mLl7Jly+Lk5JSvlSUmJiZf68pd/v7+Be5vMBgoU6ZMvv1dXV3x8PDI8xD2Zc6cOVy9ehWAefPm2e2Q0AfR6/WmodMLFizgxIkTagMJi9qzZw9r1qwx/R7c7wugPXNxcWHy5MkAnDlzxuFuIYtcZv0UcHFxITAwkO3bt+fZvn37dlq2bFngc1q0aJFv/19//ZUmTZrg7OxstqzCOmVnZzN06FAA6tSpQ7du3RQnUuvpp5+ma9eupqGymgyddgg5OTmmodF9+/bl8ccfV5xIrU8++YRKlSoB8P7772M0GhUnEhZn5s7D2urVqzVnZ2dt4cKF2pkzZ7SBAwdqJUuW1K5cuaJpmqYNGzZM69mzp2n/S5cuae7u7tqgQYO0M2fOaAsXLtScnZ21devWFep4MtrIvvTp00cDNEA7ffq06jhW4erVq1qJEiU0QFuzZo3qOMIC5s+frwGap6enFhMTozqOVdi7d6/pb8PQoUNVxxHFoCif32YvXjRN07777jstICBAc3Fx0Ro3bqzt3r3b9G+9e/fWnn322Tz779q1S3vyySc1FxcXrWrVqtrcuXMLfSwpXuxHZGSkptfrNUB77bXXVMexKmPHjtUArUqVKlpaWprqOMKMkpKStHLlymmANmPGDNVxrErr1q01QDMYDFpiYqLqOOIRFeXzW6dp9tXuXJQltYV1a9asGYcPH8bZ2ZmEhAS7W3TuUaSlpVGnTh0iIyMZP368afp0YX+GDBnCtGnTqFOnDidPnpTb538TExND+fLlMRqNvPzyy/z666+qI4lHUJTPb8fs+Sis3vbt2zl8+DCQu/icFC55ubu7m4bMBgUFySg7O3X+/HlmzZoFwPTp06Vw+QdfX1/69esH5P7NOHbsmOJEwlKk5UVYpfLlyxMdHU3ZsmW5efOmw44wuh9N02jdujX79++ne/furFixQnUkUczat2/Ppk2bePXVV9m0aZPqOFbJaDTi6elJamoq1atX5+LFi6ojiYckLS/Cpk2aNMk0XH7x4sVSuNyDTqdj1qxZ6HQ6Vq5cec9Zq4Vt2rp1K5s2bcJgMDB9+nTVcayWXq83zTp96dIlFi5cqDiRsARpeRFWJT09HS8vLzIyMnjyySc5fvy46khW77333mPhwoU0adKEQ4cOSbFnB7KysmjUqBHnzp1j8ODBTJs2TXUkq1ezZk3++usvSpYsSVJSEgaDQXUkUUTS8iJsVs+ePcnIyECn08lK4oU0ceJESpcuzdGjR1m2bJnqOKIYzJkzh3PnzlGuXDnpjF1Idyeru337Nh9//LHiNMLcpHgRViM8PNxUsHTt2pVq1aopTmQb/Pz8TB9ww4YNk8VJbVxsbCxjxowBYMKECXh5eakNZCOeeOIJ2rVrB8D8+fPvuX6esA9SvAir0aFDBzRNw83NjSVLlqiOY1P69+/PY489xs2bN/nqq69UxxGPYPTo0SQnJ/P444/z7rvvqo5jU1avXo3BYMBoNNKhQwfVcYQZSfEirMKGDRs4deoUkHsbxMXFRXEi2+Lq6mrq1DljxgwZcWGjTp48yQ8//ADArFmzcHJyUpzItnh6ejJkyBAADhw4wJ49exQnEuYiHXaFckajkbJly5KYmEjFihW5du2a6kg2SdM02rVrx6+//sobb7zBhg0bVEcSRaBpGi+++CI7d+6kU6dOrFmzRnUkmyR/T2yXdNgVNmXkyJEkJiYCsHLlSsVpbJdOp2PGjBk4OTnx008/8dtvv6mOJIpgw4YN7Ny5Ezc3N9MEhKLo9Hq9abj09evXZZi5nZKWF6FUSkoKZcqUITs7m5YtW7J//37VkWxe//79+fbbb6lfvz5hYWEyZNQGpKenU7duXa5cucLIkSP58ssvVUeyeQ0bNuT06dO4ubmRlJSEq6ur6kjiAaTlRdiMLl26kJ2djV6vl6HRxWTs2LH4+Pjw559/8v3336uOIwph+vTpXLlyhYoVKzJs2DDVcezC+vXr0el0pKen884776iOI4qZFC9CmZMnT7J161YA+vbti7+/v+JE9sHHx8f0zX306NEkJCQoTiTu58aNG6YRYpMnT6ZkyZKKE9mHmjVr8uabbwKwatUqLl++rDiRKE5SvAhlOnbsCEDJkiVN03uL4vH+++/ToEEDEhISGDt2rOo44j6GDx/O7du3adGiBd27d1cdx64sW7YMV1dXNE2TodN2RooXocTSpUsJDw8HcoeESr+M4mUwGJg5cyaQO1vrn3/+qTaQKNChQ4dMsyLfXadKFB93d3dT8X7ixAl++eUXtYFEsZEOu8LiZBVYy/nPf/7DTz/9xMsvv8y2bdvkw9GKGI1GWrZsyaFDh+jdu7dMzGhG/v7+3Lx5k7JlyxITEyPvAyslHXaFVfvkk09ITU0FIDg4WHEa+zZ16lRcXFzYvn07//d//6c6jvibFStWcOjQIUqVKkVQUJDqOHbtxx9/BCAuLo5x48YpTiOKgxQvwqJiYmJMI2BefvllmjRpojiRfatRowaDBw8G4NNPPyUjI0NxIgGQmppqGlU0YsQIypcvrziRfXv55Zd56qmnAPjqq69MX56E7ZLiRVhUp06dyMnJwWAwyAyiFvLFF1/g7+/PX3/9xTfffKM6jgAmTZrEjRs3qF69OgMHDlQdxyHcHTqdlZVFjx49VMcRj0iKF2Ex+/fvN601MnDgQFkt10JKly7NpEmTAPjyyy9ltV3FLl++zNSpUwGYNm0abm5uihM5hkqVKtG7d28ANm7cKJ3YbZx02BUWU6VKFSIjI/Hy8iI+Ph69XmpnSzEajTRv3pwjR47wzjvvmKZPF5bXsWNHQkJCeOGFF/jtt9+k86gFZWdn4+HhwZ07d6hTpw5nz55VHUn8jXTYFVbn22+/JTIyEoDvv/9eChcL0+v1zJo1C4DFixdz7NgxxYkc065duwgJCUGv1zNz5kwpXCzMYDCYWr3OnTvH6tWrFScSD0taXoTZZWZm4uXlxZ07d6hXr5401yr01ltvsWLFClq1asXevXvlw9OCcnJyaNy4MSdPnuSjjz7iu+++Ux3JYQUEBBAREYGnpycJCQnyZcpKSMuLsCp9+/blzp076HQ61q1bpzqOQ5s0aRLu7u7s379fhqlb2IIFCzh58iTe3t6MHz9edRyHdrfFJTk5mSFDhihOIx6GFC/CrCIiIkxzLLz++uvUrVtXcSLHVqlSJYYPHw7A0KFDSUtLU5zIMSQmJjJixAgAxo0bR5kyZRQncmwtWrTgueeeA+Cbb76R9b9skBQvwqzefPNNNE3DxcWFFStWqI4jyJ3vJSAggGvXrjFlyhTVcRzC+PHjiY+Pp27duvTr1091HAGsXbsWJycncnJy6NSpk+o4ooikeBFms23bNlPH0FGjRuHu7q44kQAoUaIEX3/9NZC7inFERITiRPbt3LlzpoVHZ8yYgbOzs+JEAqBs2bJ89NFHAOzYsYMjR44oTiSKQjrsCrPx8/MjJiYGX19fbt68qTqO+BtN03juuefYs2cPXbt2ZdWqVaoj2a1XX32VLVu28O9//5uNGzeqjiP+xmg04uXlxa1bt6hatSqXL19WHcmhSYddodyECROIiYkBMK2aK6yHTqczrWK8evVq9u7dqzqSXdq8eTNbtmzB2dmZadOmqY4j/kGv1zNnzhwArly5Ylq6RFg/aXkRxS4tLQ1vb28yMzMJDAzk6NGjqiOJe/jggw/44YcfePLJJzly5AhOTk6qI9mNzMxMGjZsyIULFxg6dKj0L7JitWvX5sKFC7i7u5OcnIzBYFAdySFJy4tQ6q233iIzMxOdTkdISIjqOOI+vvzySzw8PDhx4gRLlixRHceuzJ49mwsXLuDr68vIkSNVxxH3cffvVFpamnSothFSvIhidf78eX766Scgt4gJCAhQG0jcl6+vL2PGjAFyF3BMSUlRnMg+xMTEMG7cOCB3FWNpBbZuDRo04NVXXwVyZ6C+ceOG4kTiQaR4EcWqQ4cOaJpGiRIlWLBggeo4ohA+/vhjatWqRUxMDBMmTFAdxy6MGjWKlJQUGjduzNtvv606jiiEVatW4ezsjNFopEOHDqrjiAeQ4kUUm3Xr1pmm/p88eTIuLi6KE4nCcHFxYcaMGQDMnDmT8PBwxYlsW1hYGPPnzwdg1qxZ0o/IRnh4ePD5558DcPDgQXbs2KE4kbgfsxYviYmJ9OzZE09PTzw9PenZsydJSUn33D8rK4vPP/+chg0bUrJkSSpUqECvXr2kCc8GGI1G+vbtC+TO4vrJJ58oTiSK4tVXX+WVV14hKyuLTz/9VHUcm6VpGgMGDEDTNLp27crTTz+tOpIogr/PfvzWW28pTiPux6zFS/fu3QkLC2Pr1q1s3bqVsLAwevbsec/909LSOH78OKNGjeL48eOsX7+eCxcu8Nprr5kzpigGw4YNMxWmMmeIbZo+fToGg4H/+7//Y9u2barj2KR169axZ88eSpQoweTJk1XHEUWk1+tZtGgRAFFRUTJCzJppZnLmzBkN0A4ePGjaFhoaqgHauXPnCv06hw8f1gDt6tWrhdo/OTlZA7Tk5OQiZxYPJzExUTMYDBqgtW7dWnUc8QgGDhyoAVrdunW1zMxM1XFsSlpamlalShUN0MaMGaM6jngEjRo10gDN1dVVu3Pnjuo4DqMon99ma3kJDQ3F09OTZs2ambY1b94cT09PDhw4UOjXSU5ORqfT4eXlVeC/Z2RkkJKSkuchLKtLly5kZ2ej1+tl1WgbN3r0aMqWLcvZs2eZN2+e6jg2Zdq0aURERFCpUiU+++wz1XHEI1i/fj06nY6MjAzpcG2lzFa8REdH4+vrm2+7r68v0dHRhXqN9PR0hg0bRvfu3e851DAoKMjUp8bT05PKlSs/Um5RNMePH+fXX38FoF+/fgVec2E7vL29TSOORo8eTVxcnOJEtuHatWsEBQUB8PXXX8s6XjauRo0adO7cGYA1a9Zw8eJFxYnEPxW5eBk7diw6ne6+j7szqup0unzP1zStwO3/lJWVRdeuXTEajabpmwsyfPhwkpOTTY/IyMiinpJ4BHdXYy1dujTffvut4jSiOLz33ns0atSIpKQk0xww4v6GDRtGWloarVq1okuXLqrjiGKwZMkSXF1d0TSNN998U3Uc8Q9FLl4+/vhjzp49e99HgwYN8Pf3L3AxvtjYWPz8/O57jKysLDp37szly5fZvn37fSd4cnV1xcPDI89DWMbChQu5dOkSAN9++y16vYy8twdOTk7MmjULgHnz5nHq1CnFiazbgQMHWLFiRZ71ooTtc3Nz48svvwTg5MmT/Pzzz4oTib8z29pGZ8+epV69ehw6dIimTZsCcOjQIZo3b865c+eoXbt2gc+7W7iEh4ezc+dOypUrV6TjytpGlpGdnY2Xlxe3b9/msccek7lB7FDHjh0JCQnhhRde4LfffpMP5QIYjUaaNWvG0aNHeeedd1i4cKHqSKKYVahQgaioKHx8fIiNjZUvaWZkFWsb1a1bl3bt2tG3b18OHjzIwYMH6du3L+3bt89TuNSpU4cNGzYAuR+IHTt25OjRo6xYsYKcnByio6OJjo4mMzPTXFHFQ/jkk0+4ffs2AGvXrlWcRpjD119/jaurKzt27JBvnffw448/cvToUUqXLs3EiRNVxxFmsHz5cgASEhLkNqo1Meewp/j4eK1Hjx5a6dKltdKlS2s9evTQEhMT8+wDaIsXL9Y0TdMuX76sAQU+du7cWahjylBp84uKitL0er0GaO3atVMdR5jRiBEjNECrXr26DBn9h5SUFM3f318DtClTpqiOI8yoefPmGqA5OzvLZ4sZFeXz22y3jVSR20bm9/TTT7N//34MBgPx8fHy/9mOpaamUrt2bW7cuEFQUBDDhg1THclqDB8+nEmTJvHYY49x+vRpXF1dVUcSZnLjxg0qV66M0Wjk1VdfZdOmTaoj2SWruG0k7NOePXvYv38/AEOGDJHCxc6VKlWKSZMmATBhwgRZquP/u3jxItOnTwdy53eRwsW+VahQgT59+gCwefNmTp48qTiRkJYXUSSVKlXi+vXreHt7ExcXJ53XHIDRaKRly5YcOnSI3r17s2TJEtWRlPvPf/7DTz/9xMsvv8y2bdukM7MDyM7OxtPTk7S0NGrWrMmFCxdUR7I70vIizGLmzJlcv34dyB0mLYWLY9Dr9aah00uXLuXIkSOKE6n1+++/89NPP+Hk5MSMGTOkcHEQBoPBtPp6eHi4qSOvUENaXkShZGZm4unpSXp6Og0bNpRmUwfUu3dvli1bRvPmzTlw4IBDfmhnZ2fz5JNPcvr0aT755BO++eYb1ZGEhVWrVo0rV65QunRpkpKS5EtcMZKWF1Hs+vTpQ3p6OjqdjpCQENVxhAJBQUGULFmSgwcPsnLlStVxlPjhhx84ffo0Pj4+jB07VnUcocCaNWsAuHXrFgMHDlQbxoFJ8SIe6PLly6xatQqAN998k5o1aypOJFSoUKECX3zxBQCfffYZqampihNZVkJCAqNGjQJg/Pjx+Pj4KE4kVHjqqad44YUXAJgzZ46s/6WIFC/igTp06ICmabi6urJs2TLVcYRCgwcPpmrVqty4cYPJkyerjmNRY8eOJSEhgfr16/PBBx+ojiMUWrt2LU5OTuTk5NCxY0fVcRySFC/ivjZv3syJEyeA3D/eslquY3Nzc2PatGkATJ06lStXrqgNZCFnzpwxLRA7a9YsDAaD4kRCJR8fH/r37w/A7t27CQ0NVZzI8UiHXXFfvr6+xMbG4u/vT1RUlOo4wgpomsaLL77Izp076dSpk6kPgL3SNI22bduyfft23njjDdNyJsKxGY1GfHx8SE5OpkqVKly9elV1JJsnHXZFsRg3bhyxsbEAMixQmOh0OmbOnIler2ft2rXs3r1bdSSz+uWXX9i+fTsuLi5MnTpVdRxhJfR6Pd9//z0AERERzJ49W3EixyItL6JAqamp+Pj4kJWVxVNPPcXhw4dVRxJW5sMPP2TevHk8/vjjHDt2DCcnJ9WRil1GRgYNGjTgr7/+4vPPPzfNNizEXXXr1uXcuXOUKFGCpKQkXFxcVEeyWdLyIh5Zjx49yMrKQqfTsX79etVxhBUaP348Xl5e/PHHHyxcuFB1HLP45ptv+Ouvv/D392fEiBGq4wgrtG7dOgDu3LnD+++/rziN45DiReTz559/snHjRiB3YrJKlSopTiSsUbly5UxznYwcOZKkpCSleYrbzZs3+fLLL4HcOW5Kly6tOJGwRvXr1+e1114DYNmyZVy7dk1xIscgxYvI5+7QP3d3d+bPn684jbBmH330EXXq1CE2Ntb0QW8vRowYwa1bt2jSpAm9evVSHUdYsRUrVuDs7Iymabz55puq4zgEKV5EHsHBwZw7dw7IHQorQ0LF/Tg7OzNz5kwg9xbL+fPn1QYqJseOHWPRokVA7nnJFPDifkqVKmW6rXjkyBG2b9+uOJH9kw67wkSG/omH1b59ezZt2sSrr77Kpk2bVMd5JJqm0bp1a/bv30/37t1ZsWKF6kjCRpQrV464uDj8/PyIjo5WHcfmSIdd8VCGDBlCcnIyAKtXr1acRtiS6dOnYzAY2Lx5M1u2bFEd55EEBwezf/9+3N3dHW4WYfFoFi9eDOT2lwoKClKcxr5J8SKA3HVb7q6Q+9xzz9GiRQvFiYQtqVWrFgMGDABg0KBBZGVlKU70cNLS0vjss88AGDZsmHRWF0XSvn17nnzySSB3nqy0tDTFieyXFC8CgM6dO5OTk4OTkxNr165VHUfYoFGjRlGuXDnOnz/Pd999pzrOQ/n666+JjIykSpUqDBkyRHUcYYNCQkLQ6XRkZGRIR28zkuJFcOTIEX7//XcA/vvf/1K2bFnFiYQt8vT05KuvvgJy18G6OzuzrYiIiDDdJpo6dSolSpRQnEjYomrVqtGtWzcA1q9fbzed2K2NdNgVVKtWjStXruDh4UFiYqKMrBAPLScnhyZNmhAWFsYHH3zAvHnzVEcqtG7durF69Wpat27N7t270el0qiMJG5WZmYmnpyfp6ek0aNCAU6dOqY5kE6TDrii0H374wbQy8HfffSeFi3gkTk5OzJo1C4D58+fzxx9/KE5UOPv27WP16tXodDpmzZolhYt4JC4uLkycOBGA06dPExISojiR/ZGWFweWnZ2Nl5cXt2/fplatWtK8KYpNly5dWLNmDc899xw7duyw6mLAaDTy1FNPcfz4cfr27csPP/ygOpKwE5UqVeL69et4e3sTFxcnXw4fQFpeRKF8+OGH3L59G0C+GYhiNWXKFNzc3Ni1a5fVr421ZMkSjh8/joeHBxMmTFAdR9iRlStXApCYmChrYxUzKV4c1I0bN0wziP7rX/+iQYMGihMJexIQEGAacjxkyBDu3LmjOFHBUlJSGD58OABjxozB19dXcSJhT5555hlatWoF5HYCt7f1v1SS4sVBdejQAaPRiLOzs0xIJ8zis88+o2LFily5coXp06erjlOgCRMmEBMTQ61atfj4449VxxF2aN26dej1erKzs+natavqOHZDihcHtGPHDg4ePAjA559/TqlSpRQnEvaoZMmSTJkyBYCvvvqK69evK06UV3h4uGldpunTp+Pi4qI2kLBL/v7+9O3bF4Bt27YRFhamNpCdkA67DqhChQpERUVRpkwZYmJipBOZMBtN03j66ac5cOAAPXv2ZNmyZaojmbz++uts3LiRdu3asXnzZqvuVCxs298HRzz22GOEh4erjmSVpMOuuKevv/6aqKgoABYtWiSFizCru0OPAX788UdTi59qv/76Kxs3bsRgMDB9+nQpXIRZGQwG0/vgr7/+YunSpYoT2T5peXEg6enpeHl5kZGRweOPPy7Nl8Ji3nnnHRYvXkzTpk0JDQ1VWjRnZWXxxBNPcObMGQYOHMiMGTOUZRGOpUaNGly6dIlSpUqRnJwsXx7/QVpeRIHefvttMjIy0Ol0MjRaWNRXX31FqVKlOHz4MMuXL1eaZd68eZw5c4YyZcowevRopVmEY7m7blxqaqp0EH9EUrw4iIsXL7JmzRogdxHGGjVqKE4kHIm/vz8jR44EcldrTk1NVZIjPj6eMWPGALkjjby9vZXkEI6pcePGvPzyywB8//33xMTEKE5ku6R4cRAdOnRA0zRcXV1ZsmSJ6jjCAQ0cOJAaNWoQFRVFUFCQkgxjxowhMTGRRo0amUaACGFJa9aswWAwYDQa6dixo+o4NkuKFwewceNG0xozX375JW5ubooTCUfk6urKtGnTAJg2bRqXLl2y6PFPnTrF3LlzAZg5cyZOTk4WPb4QAF5eXgwaNAiAvXv3sm/fPsWJbJNZi5fExER69uyJp6cnnp6e9OzZs0gzDH7wwQfodDrTXAyi6IxGI3369AGgfPnyDB06VHEi4chee+01XnrpJTIyMiz6u6hpGgMHDsRoNNKhQweef/55ix1biH+aNGkSXl5eQO5q5qLozFq8dO/enbCwMLZu3crWrVsJCwujZ8+ehXruTz/9xKFDh6hQoYI5I9q9MWPGkJCQAPxvnQ0hVNHpdMyYMQO9Xs/69evZsWOHRY77888/s2PHDlxdXfn6668tckwh7kWv1zN//nwArl27ZhpGLYpAM5MzZ85ogHbw4EHTttDQUA3Qzp07d9/nXrt2TatYsaJ2+vRpLSAgQJsxY0ahj5ucnKwBWnJy8sNGtxvJycmas7OzBmjNmzdXHUcIk//+978aoDVs2FDLysoy67HS09O16tWra4D2xRdfmPVYQhRFvXr1NEBzc3PTMjIyVMdRriif32ZreQkNDcXT05NmzZqZtjVv3hxPT08OHDhwz+cZjUZ69uzJ0KFDqV+//gOPk5GRQUpKSp6HyNW9e3eysrLQ6/UyNFpYlXHjxuHt7c2pU6dYsGCBWY81c+ZMLl26RPny5U2LMAphDdatW4dOpyM9PZ333ntPdRybYrbiJTo6usAVWn19fYmOjr7n8yZPnozBYKB///6FOk5QUJCpT42npyeVK1d+6Mz25PTp02zatAnInSBMbr8Ja1KmTBnGjx8PwMiRI0lMTDTLcaKiopgwYQKQ+7dF1vES1qRu3bq88cYbACxfvpyrV6+qDWRDily8jB07Fp1Od9/H0aNHAQqcclvTtHtOxX3s2DFmzZrFkiVLCj1d9/Dhw0lOTjY9IiMji3pKdqlDhw5A7uJ4d0dYCGFN+vXrR/369YmPj2fcuHFmOcYXX3xBamoqzZo1o0ePHmY5hhCPYvny5bi4uKBpmunvtniwIhcvH3/8MWfPnr3vo0GDBvj7+3Pz5s18z4+NjcXPz6/A1967dy8xMTFUqVIFg8GAwWDg6tWrfPrpp1StWrXA57i6uuLh4ZHn4eiWL1/OhQsXgNzVcg0Gg+JEQuRnMBhMU/PPnj2bM2fOFOvrHzlyxDSn0axZs2QqdmGV3N3dGTVqFJD7BX7Lli2KE9kGs61tdPbsWerVq8ehQ4do2rQpAIcOHaJ58+acO3eO2rVr53tOfHy8adHAu9q2bUvPnj3p06dPgc/5J0df28hoNOLl5cWtW7eoWrUqly9fVh1JiPu6u7pz27Zt2bJlS7EskqhpGq1atSI0NNTqVrMWoiB+fn7ExMRQrlw5h5151yrWNqpbty7t2rWjb9++HDx4kIMHD9K3b1/at2+fpwipU6cOGzZsAHLvgzdo0CDPw9nZGX9//0IVLgIGDRrErVu3AEzLAQhhzaZNm4azszPbtm1j8+bNxfKaq1atIjQ0lJIlSyqbzVeIorhbYMfGxpr6g4l7M2s76ooVK2jYsCFt2rShTZs2NGrUiB9//DHPPufPnyc5OdmcMRxGXFwc3333HQAvvvgiTz31lOJEQjzYY489ZppxdNCgQWRmZj7S692+fZvPPvsMyO3zUrFixUfOKIS5tW3blsDAQAAmTpxIWlqa4kTWzWy3jVRx5NtGzz//PLt27cLJyYmYmBh8fHxURxKiUFJSUqhVqxY3b95k6tSpfPrppw/9WqNHj+bLL7+katWqnD17VpbDEDYjIiKCqlWromkab7zxhumuhKOwittGwrJCQ0PZtWsXAP3795fCRdgUDw8PvvrqKwDGjx9fYGf/wrhy5YppBt2pU6dK4SJsSpUqVXjrrbeA3Fnmz549qziR9ZKWFzsREBBAREQEnp6eJCQkyMgKYXOMRiNNmzbl2LFjvPfee6bp04uic+fOrF27lueee44dO3YUS+dfISwpMzMTLy8v7ty5Q926dYt9FJ41k5YXBzNnzhwiIiIA+P7776VwETZJr9eb1nhZuHAhJ06cKNLz9+zZw9q1a9Hr9cycOVMKF2GTXFxcmDx5MpA7alcGXhRMWl5sXHZ2Nh4eHty5c4c6depIM6Owed27d2fVqlW0bt2a3bt3F6oIycnJoUmTJoSFhdGvXz+ZmFHYvCpVqhAZGYmXlxfx8fEO8aVUWl4cSN++fblz5w4A69evV5xGiEc3efJkSpQowd69e1m7dm2hnrNo0SLCwsLw8vKSYabCLqxatQqApKQkPv/8c8VprI8ULzbs2rVrLF26FIDXXnuNunXrKk4kxKOrXLmy6Y/10KFDHzhkNCkpiREjRgAwZswYypUrZ/aMQphbq1ataN26NZC7uGhCQoLiRNZFihcb9uabb6JpGs7OzqxYsUJ1HCGKzdChQ6lcuTIRERFMnTr1vvt++eWXxMbGUqdOHf773/9aKKEQ5rdu3Tr0ej3Z2dl06dJFdRyrIsWLjdq+fTtHjhwBYMSIEbJarrAr7u7upiHPkyZNuueCq+fPn+ebb74BYMaMGTg7O1ssoxDm5uvrS79+/QD47bffTIseC+mwa7PKly9PdHS0Q6+DIeybpmk888wz7Nu3j+7duxfYuti+fXs2bdrEv/71L3755RcFKYUwr7+vV1e9enUuXryoOpLZSIddOxcUFER0dDSAadVcIeyNTqdj1qxZ6HQ6Vq5cyf79+/P8+5YtW9i0aRMGg4Hp06crSimEeen1embPng3ApUuXWLBggeJE1kFaXmxMWloaPj4+ZGRk8OSTT3L8+HHVkYQwq/fee4+FCxcSGBjI4cOH0ev1ZGVl0bBhQ86fP8/gwYOZNm2a6phCmFXNmjX566+/KFmyJElJSRgMBtWRip20vNixXr16kZGRgU6nIyQkRHUcIcxu4sSJlC5dmmPHjplG13333XecP3+ecuXKMWrUKMUJhTC/u9MG3L59m48++khxGvWkeLERR44cYfjw4aaCpVu3blSrVk1xKiHMz8/Pj9GjRwPw6aefMmLECFPBMnHiRLy8vBSmE8IynnjiCdq1awfAggULGDdunGnQhiOS20Y24O233zZ94wRwcnIiLS0NFxcXhamEsJzMzEzKli3LrVu3TNu8vb2JjY3FyclJYTIhLCclJQUvLy/+/rHdu3dvu+n7WJTPbylerNyRI0do2rRpvu01a9akZMmSChIJYXm3b98mPDw833Z5HwhHcq/3weHDh3nqqacUJCpeRfn8tr8eP3Zm7969BW4v6BdYCEcj7wMhYP/+/XZRvBSFFC9W7u700P/UsGFDSpcubeE0Qqhx69YtTp06lW+7vA+EI7nX+6BVq1YK0qglxYuVe+qpp+jdu3eePi/2dI9TiML6Z98veR8IR1TQ+8DRWl1A+rzYjCNHjrB//35atWrlkL+oQoC8D4QA+30fSIddOyxehBBCCHsmk9QJIYQQwm5J8SKEEEIImyLFixBCCCFsihQvQgghhLApUrwIIYQQwqZI8SKEEEIImyLFixBCCCFsihQvQgghhLApUrwIIYQQwqZI8SKEEEIImyLFixBCCCFsit2tKn13qaaUlBTFSYQQQghRWHc/twuz5KLdFS+3bt0CoHLlyoqTCCGEEKKobt26haen5333sbtVpY1GIzdu3KB06dLodLpif/2UlBQqV65MZGSkXa5aLedn2+T8bJucn22T83s0mqZx69YtKlSogF5//14tdtfyotfrqVSpktmP4+HhYZe/nHfJ+dk2OT/bJudn2+T8Ht6DWlzukg67QgghhLApUrwIIYQQwqZI8VJErq6ujBkzBldXV9VRzELOz7bJ+dk2OT/bJudnOXbXYVcIIYQQ9k1aXoQQQghhU6R4EUIIIYRNkeJFCCGEEDZFihchhBBC2BQpXgowceJEWrZsibu7O15eXoV6jqZpjB07lgoVKlCiRAmee+45/vzzzzz7ZGRk8Mknn1C2bFlKlizJa6+9xrVr18xwBveXmJhIz5498fT0xNPTk549e5KUlHTf5+h0ugIfX3/9tWmf5557Lt+/d+3a1cxnk9/DnN/bb7+dL3vz5s3z7GOr1y8rK4vPP/+chg0bUrJkSSpUqECvXr24ceNGnv1UXb85c+ZQrVo13NzcCAwMZO/evffdf/fu3QQGBuLm5kb16tWZN29evn1CQkKoV68erq6u1KtXjw0bNpgr/gMV5fzWr1/Pyy+/TLly5fDw8KBFixZs27Ytzz5Lliwp8L2Ynp5u7lMpUFHOb9euXQVmP3fuXJ79bPX6FfR3RKfTUb9+fdM+1nT99uzZw7///W8qVKiATqfjp59+euBzrOb9p4l8Ro8erU2fPl0bPHiw5unpWajnTJo0SStdurQWEhKinTp1SuvSpYtWvnx5LSUlxbRPv379tIoVK2rbt2/Xjh8/rj3//PPa448/rmVnZ5vpTArWrl07rUGDBtqBAwe0AwcOaA0aNNDat29/3+dERUXleSxatEjT6XTaxYsXTfs8++yzWt++ffPsl5SUZO7Tyedhzq93795au3bt8mSPj4/Ps4+tXr+kpCTtpZde0oKDg7Vz585poaGhWrNmzbTAwMA8+6m4fqtXr9acnZ21+fPna2fOnNEGDBiglSxZUrt69WqB+1+6dElzd3fXBgwYoJ05c0abP3++5uzsrK1bt860z4EDBzQnJyftq6++0s6ePat99dVXmsFg0A4ePGjWcylIUc9vwIAB2uTJk7XDhw9rFy5c0IYPH645Oztrx48fN+2zePFizcPDI997UoWint/OnTs1QDt//nye7H9/D9ny9UtKSspzXpGRkZqPj482ZswY0z7WdP02b96sjRgxQgsJCdEAbcOGDffd35ref1K83MfixYsLVbwYjUbN399fmzRpkmlbenq65unpqc2bN0/TtNxfamdnZ2316tWmfa5fv67p9Xpt69atxZ79Xs6cOaMBeX6RQkNDNUA7d+5coV/n9ddf11544YU825599lltwIABxRX1oTzs+fXu3Vt7/fXX7/nv9nb9Dh8+rAF5/giruH5NmzbV+vXrl2dbnTp1tGHDhhW4/2effabVqVMnz7YPPvhAa968uennzp07a+3atcuzT9u2bbWuXbsWU+rCK+r5FaRevXrauHHjTD8X9u+SJRT1/O4WL4mJifd8TXu6fhs2bNB0Op125coV0zZrun5/V5jixZref3LbqBhcvnyZ6Oho2rRpY9rm6urKs88+y4EDBwA4duwYWVlZefapUKECDRo0MO1jCaGhoXh6etKsWTPTtubNm+Pp6VnoHDdv3mTTpk28++67+f5txYoVlC1blvr16zNkyBDTKt+W8ijnt2vXLnx9falVqxZ9+/YlJibG9G/2dP0AkpOT0el0+W6LWvL6ZWZmcuzYsTz/TwHatGlzz3MJDQ3Nt3/btm05evQoWVlZ993HktcJHu78/sloNHLr1i18fHzybE9NTSUgIIBKlSrRvn17Tpw4UWy5C+tRzu/JJ5+kfPnyvPjii+zcuTPPv9nT9Vu4cCEvvfQSAQEBebZbw/V7GNb0/rO7hRlViI6OBsDPzy/Pdj8/P65evWrax8XFBW9v73z73H2+JURHR+Pr65tvu6+vb6FzLF26lNKlS/Pmm2/m2d6jRw+qVauGv78/p0+fZvjw4fzxxx9s3769WLIXxsOe3yuvvEKnTp0ICAjg8uXLjBo1ihdeeIFjx47h6upqV9cvPT2dYcOG0b179zyLq1n6+sXFxZGTk1Pg++Ze5xIdHV3g/tnZ2cTFxVG+fPl77mPJ6wQPd37/NG3aNG7fvk3nzp1N2+rUqcOSJUto2LAhKSkpzJo1i1atWvHHH39Qs2bNYj2H+3mY8ytfvjw//PADgYGBZGRk8OOPP/Liiy+ya9cunnnmGeDe19jWrl9UVBRbtmxh5cqVebZby/V7GNb0/nOY4mXs2LGMGzfuvvscOXKEJk2aPPQxdDpdnp81Tcu37Z8Ks09hFPb8IH/OouZYtGgRPXr0wM3NLc/2vn37mv67QYMG1KxZkyZNmnD8+HEaN25cqNe+F3OfX5cuXUz/3aBBA5o0aUJAQACbNm3KV6QV5XULy1LXLysri65du2I0GpkzZ06efzPn9bufor5vCtr/n9sf5r1oLg+bZdWqVYwdO5aff/45T8HavHnzPJ3JW7VqRePGjfn222/55ptvii94IRXl/GrXrk3t2rVNP7do0YLIyEimTp1qKl6K+prm9rBZlixZgpeXF2+88Uae7dZ2/YrKWt5/DlO8fPzxxw8cOVG1atWHem1/f38gtyotX768aXtMTIypAvX39yczM5PExMQ8395jYmJo2bLlQx337wp7fidPnuTmzZv5/i02NjZftVyQvXv3cv78eYKDgx+4b+PGjXF2diY8PPyRP/wsdX53lS9fnoCAAMLDwwH7uH5ZWVl07tyZy5cvs2PHjgcuaV+c168gZcuWxcnJKd83sr+/b/7J39+/wP0NBgNlypS57z5Fuf7F4WHO767g4GDeffdd1q5dy0svvXTfffV6PU899ZTpd9VSHuX8/q558+YsX77c9LM9XD9N01i0aBE9e/bExcXlvvuqun4Pw6ref8Xag8bOFLXD7uTJk03bMjIyCuywGxwcbNrnxo0byjp8Hjp0yLTt4MGDhe7w2bt373yjVO7l1KlTGqDt3r37ofMW1aOe311xcXGaq6urtnTpUk3TbP/6ZWZmam+88YZWv359LSYmplDHssT1a9q0qfbhhx/m2Va3bt37dtitW7dunm39+vXL12HwlVdeybNPu3btlHX4LMr5aZqmrVy5UnNzc3tg58m7jEaj1qRJE61Pnz6PEvWhPMz5/VOHDh20559/3vSzrV8/Tftfx+RTp0498Bgqr9/fUcgOu9by/pPipQBXr17VTpw4oY0bN04rVaqUduLECe3EiRParVu3TPvUrl1bW79+vennSZMmaZ6entr69eu1U6dOad26dStwqHSlSpW03377TTt+/Lj2wgsvKBtq26hRIy00NFQLDQ3VGjZsmG+o7T/PT9M0LTk5WXN3d9fmzp2b7zX/+usvbdy4cdqRI0e0y5cva5s2bdLq1KmjPfnkk1Z/frdu3dI+/fRT7cCBA9rly5e1nTt3ai1atNAqVqxoF9cvKytLe+2117RKlSppYWFheYZnZmRkaJqm7vrdHYq6cOFC7cyZM9rAgQO1kiVLmkZnDBs2TOvZs6dp/7tDNQcNGqSdOXNGW7hwYb6hmvv379ecnJy0SZMmaWfPntUmTZqkfKhtYc9v5cqVmsFg0L777rt7DlkfO3astnXrVu3ixYvaiRMntD59+mgGgyFPQWut5zdjxgxtw4YN2oULF7TTp09rw4YN0wAtJCTEtI8tX7+73nrrLa1Zs2YFvqY1Xb9bt26ZPt8Abfr06dqJEydMoxCt+f0nxUsBevfurQH5Hjt37jTtA2iLFy82/Ww0GrUxY8Zo/v7+mqurq/bMM8/kq7rv3Lmjffzxx5qPj49WokQJrX379lpERISFzup/4uPjtR49emilS5fWSpcurfXo0SPf0MV/np+madr333+vlShRosC5PyIiIrRnnnlG8/Hx0VxcXLQaNWpo/fv3zzdXiiUU9fzS0tK0Nm3aaOXKldOcnZ21KlWqaL179853bWz1+l2+fLnA3+e//06rvH7fffedFhAQoLm4uGiNGzfO09LTu3dv7dlnn82z/65du7Qnn3xSc3Fx0apWrVpgMb127Vqtdu3amrOzs1anTp08H46WVpTze/bZZwu8Tr179zbtM3DgQK1KlSqai4uLVq5cOa1NmzbagQMHLHhGeRXl/CZPnqzVqFFDc3Nz07y9vbWnn35a27RpU77XtNXrp2m5rbQlSpTQfvjhhwJfz5qu390Wonv9vlnz+0+naf+/t40QQgghhA2QeV6EEEIIYVOkeBFCCCGETZHiRQghhBA2RYoXIYQQQtgUKV6EEEIIYVOkeBFCCCGETZHiRQghhBA2RYoXIYQQQtgUKV6EEEIIYVOkeBFCCCGETZHiRQghhBA2RYoXIYQQQtiU/wfSF/L/DV86fgAAAABJRU5ErkJggg==", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "drawTriangle2( 0,0,1 );" ] }, { "cell_type": "markdown", "id": "c5b942fa", "metadata": {}, "source": [ "So we are just calling the function inside but with smaller parameters! To generalise this for arbitrary n > 0 then" ] }, { "cell_type": "code", "execution_count": 11, "id": "1062758f", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "drawTriangle (generic function with 1 method)" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "function drawTriangle( x,y,radius,count )\n", " \n", " ptsx = [ x+radius*cos(pi*0.5), x+radius*cos(7*pi/6), x+radius*cos(11*pi/6), x+radius*cos(pi*0.5) ]\n", " ptsy = [ y+radius*sin(pi*0.5), y+radius*sin(7*pi/6), y+radius*sin(11*pi/6), y+radius*sin(pi*0.5) ]\n", "\n", " plot(ptsx, ptsy, \"k.-\")\n", " axis(\"equal\")\n", " \n", " if count > 1\n", " drawTriangle( x+radius*cos(pi*0.5)/2, y+radius*sin(pi*0.5)/2, radius/2, count-1 );\n", " drawTriangle( x+radius*cos(7*pi/6)/2, y+radius*sin(7*pi/6)/2, radius/2, count-1 );\n", " drawTriangle( x+radius*cos(11*pi/6)/2, y+radius*sin(11*pi/6)/2, radius/2, count-1 );\n", " end\n", " \n", "end" ] }, { "cell_type": "code", "execution_count": 12, "id": "7cd23f0b", "metadata": {}, "outputs": [ { "data": { "image/png": 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yIJFIoFKphMkjrYlSqYSDgwMYY3BxcUFycjLvSIRYDLptRAjRq9GjRyMrKwsAMHfuXKssXABALpfjm2++AQCkpKRY9BBxQkwZtbwQQkpErQ2F2dvbQ6lUWnUrFCH6Ri0vhBC96dSpk7Cu2JEjRzinMQ3btm0DkDvnTf5FZwkhxkEtL4SQYt26dQsNGjQAkNth9caNG5wTmY5q1aoJHZifP39udR2YCdE3ankhhOhFx44dhe/Pnj3LMYnpyf//ERQUxDEJIdaHihdCSJE2b94sTMo2cOBAuLm5cU5kWvz9/REcHAwAePjwIUJDQzknIsR60G0jQkiRaD2f17PGdZ4IMRS6bUQIqZChQ4dCrVYDAH766SfOaUyXRCLBtGnTAACZmZmYNGkS50SEWAdqeSGEFJCamgoXFxcAQKVKlYRbR6R4CoUCaWlpEIvFUCqVkMlkvCMRYnao5YUQUm75O5+eOHGCYxLzceDAAQCATqcT+sEQQgyHihdCiODSpUu4fv06AKB58+Zo1KgR50TmoUOHDqhduzaA3FFI9+7d45yIEMtGxQshRNC9e3cAgEgkwpkzZ/iGMTPnz58Xvu/QoQPHJIRYPipeCCEAgCVLlghT/3/55ZeQy+WcE5kXT09PfPTRRwCAFy9eYPv27ZwTEWK5qMMuIQRarRZ2dnbQaDSws7ODUqnkHcks0f8jIeVHHXYJIWXSp08faDQaAMAvv/zCOY35kkgkWLx4MQAgOzsbI0eO5JyIEMtELS+EWLnY2Fj4+PgAACpXroxnz55xTmT+PDw8kJiYCJFIhLS0NDg6OvKORIjJo5YXQkiptW3bVvieOunqx/HjxwEAjDG0a9eObxhCLBAVL4RYsePHj+P+/fsAckfI1KhRg3MiyxAQEIAmTZoAACIiIhAZGck5ESGWhW4bEWLFnJ2dkZ6eTjPDGkBGRgacnZ3BGIOHhwfi4+N5RyLEpNFtI0LIa02bNg3p6ekAgMmTJ1PhomeOjo4YNmwYACAhIQErV67knIgQy0EtL4RYIY1GA1tbW+h0Ojg6OgpFDNE/Ozs7qFQq2NjYQKlUQiKR8I5EiEmilhdCSIm6dOkCnU4HANi7dy/nNJbt559/BgDk5ORg4MCBnNMQYhmo5YUQK/Po0SOhY+6bb74pdNglhuPr64uYmBgAQGJiItzc3DgnIsT0UMsLIaRIR44cKbDYYv71eIjhnD59Wvj+rbfewpdffokjR45wTESIeaOWF0KsRJs2bRAWFib829XVFUlJSRwTWZfAwEBcuHChwLbWrVvj4sWLnBIRYlrK8v4tNVImQghHR44cKVC4AEBycjLee+89vPHGG5xSWZei/hiHhYXhyJEj6NGjB4dEhJgvKl4IsQKhoaFFbj98+LCRk5D/OnbsGBUvhJQRFS+EWIGOHTtizZo1hbb36dMHNWvW5JDI+ty9exf79u0rtL1r164c0hBi3oxSvKxevRoLFy5ETEwM6tevj2XLliEwMLDY/VUqFWbNmoXffvsNsbGxqFy5MqZMmYJPP/3UGHEJsTg//vhjoW01a9bE7t27OaSxTuvWrStUvCgUCmp1IaQcDD7aaNeuXRg9ejSmTJmCyMhIBAYGolu3boiOji72MX379sXJkyexceNG3L17Fzt27ECdOnUMHZUQi/Tvv//i8uXLAAB/f3+8/fbbAAClUomsrCye0axGSkoKpk6dCgAYMWKEsMp0ampqiX8LCSFFM/hooxYtWqBp06YFmqzr1q2L3r17Y968eYX2P3bsGD7++GM8evSoXHMh0GgjQgry8vJCXFwcgNw3UZlMhjp16iA6OhozZszA9OnTOSe0fGPHjsXSpUtRt25dXL9+HbGxsahatSoAoFq1anj8+DHnhITwZzLzvKjVakRERCA4OLjA9uDg4EIjH/IcOnQIzZo1w48//gg/Pz/UqlUL48aNg1KpLHJ/lUqFtLS0Al+EkFzr168XCpeQkBAoFArI5XIsWrQIALBgwQL65G9gd+7cwYoVKwAAS5cuhY2NDapUqYLu3bsDAJ48eYJDhw7xjEiI2TFo8ZKQkACtVgsvL68C2728vBAbG1vkYx49eoQLFy7g5s2bOHDgAJYtW4a9e/fif//7X5H7z5s3DwqFQviqUqWK3p8HIebqq6++AgDIZDJs2bJF2P7RRx+hbdu2UCqVmDBhAqd01mHs2LHQaDTo2bMnunTpImw/dOiQsM5R//79ecUjxCwZZYZdkUhU4N+MsULb8uh0OohEImzbtg3NmzdH9+7dsWTJEmzZsqXI1pdJkyYhNTVV+Hr27JlBngMh5mbgwIFQq9UAcjvN5ycSibB8+XKIRCLs3LmTZto1kNDQUPzxxx+wsbHB4sWLC/xMIpFg9uzZAICsrCx8++23PCISYpYMWrx4eHhAIpEUamWJi4sr1BqTx8fHB35+flAoFMK2unXrgjGG58+fF9rf1tYWzs7OBb4IsXbJycnYvn07gNyWzmHDhhXap3Hjxhg+fDgAYPTo0cJCjUQ/1Go1xowZAwAYNWpUkUPSJ02aJPytW7ZsmVBsEkJKZtDiRSaTISAgACdOnCiw/cSJE2jdunWRj2nTpg1evnyJjIwMYdu9e/cgFotRuXJlQ8YlxGK0bdtW+P6vv/4qdr85c+bA2dkZV69eLXBbiVTcqlWrcO/ePVSqVEkYaVSU33//HUBuq3PHjh2NlI4QM8cMbOfOnczGxoZt3LiRRUVFsdGjRzMHBwf25MkTxhhjEydOZIMHDxb2T09PZ5UrV2YfffQRu3XrFjt79iyrWbMmGz58eKnOl5qaygCw1NRUgzwfQkzdhQsXGAAGgLVq1eq1+y9evJgBYJUqVaLrRk9evXrFFAoFA8A2bNjw2v3r1q0rvGZRUVFGSEiI6SnL+7fBixfGGFu1ahXz9/dnMpmMNW3alJ09e1b4WUhICAsKCiqw/+3bt1mnTp2YXC5nlStXZmPHjmVZWVmlOhcVL8Taubi4MABMJBKV6rpRqVSsVq1aDAD77rvvjJDQ8n322WcMAGvatCnTaDSv3T8xMVEoXnx8fIyQkBDTU5b3b1pVmhALsmDBAkycOBFAbj+LZcuWlepxoaGhePfdd2FjY4Nbt27RkgEVcO3aNTRt2hSMMZw/fx7vvPNOqR43YMAA7NixAwCwefNmDB061IApCTE9ZXn/puKFEAuh1Wpha2sLrVYLuVxe5tlzu3XrhmPHjqFnz54070g5McbQrl07nDt3Dv369cPOnTtL/di81y0nJwe2trbIzs42YFJCTI/JTFJHCDGe3r17Q6vVAgB+++23Mj9+yZIlkEqlOHz4MP788099x7MK+/btw7lz52BnZ1fkelIlkUgkWL58OYDcyTeLGiFGCMlFLS+EWIAXL14Io/GqVq2Kp0+flus4Y8aMwbJly1CvXj1cu3YNNjY2+oxp0ZRKJerWrYunT59i+vTpmDFjRrmO4+npiYSEBIhEIqSlpQnrIBFi6ajlhRArExQUJHx/5syZch9n2rRp8PDwQFRUFNauXauHZNZj8eLFePr0KSpXrozx48eX+zh5U0swxgoMeSeE/B8qXggxc6GhoXj48CGA3HXDqlevXu5jubq6Ys6cOQByC5mEhAS9ZLR0z58/FxaaXbhwIezt7ct9rMaNG6NZs2YAgMjISGFFcELI/6HbRoSYOUdHR2RmZkIsFkOtVgvr5ZSXVqtF06ZN8e+//+LLL7/EqlWr9JTUcg0aNAjbtm1DmzZtcP78+WKXPymtzMxMODk5gTEGNzc3JCYm6ikpIaaLbhsRYiUmTZqEzMxMALktJRUtXIDcjqN5Q6zXrl2LGzduVPiYliw8PBzbtm0rsF5URTk4OOCzzz4DACQlJZV6yDsh1oJaXggxU2q1GnK5HDqdDs7OzkhNTdXr8T/66CPs27cPHTp0wF9//aWXN2VLo9Pp0LJlS1y5cgWffvopNm7cqNfjy+VyZGdnQyqVIjs7Wy/FKSGmilpeCLECwcHBwmKKBw4c0PvxFy5cCFtbW5w6dQoHDx7U+/Etwa+//oorV67AyckJc+fO1fvx84ohjUaDjz/+WO/HJ8RcUfFCiBm6d+8ezp49CwCoXbs2OnTooPdzVK9eHePGjQMAfPvttzRp2n+kp6cLsxl///338Pb21vs5BgwYAD8/PwDA3r17ER8fr/dzEGKOqHghxAzlL1bOnz9vsPNMnDgRPj4+ePToEfW7+I8ffvgBsbGxqFGjBr755huDnSevSAVQ6qUGCLF0VLwQYma2b9+OFy9eAMjtl+Lp6Wmwczk6OmLBggUAgDlz5iAmJsZg5zInDx8+xJIlSwDkzkxsa2trsHPVqFFDmMfn3r17OHnypMHORYi5oA67hJgZY3fi1Ol0aN26Nf7++28MHToUmzdvNuj5zMEHH3yAAwcOoHPnzjh+/LjBOzMbunM2IaaAOuwSYqFGjhwp9D1ZuHChUUafiMViYc2dLVu24MqVKwY/pyk7efIkDhw4AIlEgqVLlxplFJZMJhNm7U1LS8P06dMNfk5CTBm1vBBiJjIyMuDs7AzGGNzd3Y0++21ISAh++eUXtGzZEmFhYVY5dFqj0aBJkya4efMmvv76a/z0009GPb+TkxMyMjL0NiEhIaaEWl4IsUDt2rVD3meNY8eOGf388+bNg4ODAy5duoTt27cb/fym4Oeff8bNmzfh5uZW7oUXK2LXrl0Acm/ldevWzejnJ8RUUPFCiBmIjIxEREQEAKBJkybC2jfG5Ovri8mTJwMAJkyYIMzsay2SkpLw/fffAwBmzZoFNzc3o2fo3r07atSoASB3AcfHjx8bPQMhpoCKF0LMQHBwMABAJBLh3Llz3HKMHTsW1apVw4sXL4RRSNZi5syZSEpKQv369fH5559zy5F/6HS7du245SCEJypeCDFxK1euFPq3DBs2DI6Ojtyy2NnZYfHixQByOww/efKEWxZjioqKEhaoXL58OaRSKbcsfn5+eO+99wAA0dHR2LdvH7cshPBCHXYJMWFarRZyuRw5OTmwtbU1iVluGWPo2LEjTp8+jT59+mD37t28IxkUYwxdunTBiRMn0Lt3b4MsxVBWWq0WdnZ20Gg0kMvlyMrK4h2JkAqjDruEWIiBAwciJycHQG5nUVMgEomwbNkyiMVi7Nmzp8BtDEt05MgRnDhxAjKZDIsWLeIdB0Duyt95aykplUqMGjWKcyJCjItaXggxUUlJSXB3dwcA+Pj44OXLl5wTFfTFF19g7dq1eOuttxAREWGRw3ZVKhUaNGiABw8eYMKECZg/fz7vSAW4uroiJSUFIpEImZmZkMvlvCMRUm7U8kKIBci/js2pU6c4JinarFmz4OLiguvXr2PTpk284xjEihUr8ODBA3h7e2PKlCm84xRy5MgRAP93K48Qa0HFCyEm6MyZM7h9+zaA3CKmTp06nBMV5unpKcx1MmXKFKSkpHDNo2+vXr3CrFmzAOTOcePk5MQ5UWFt2rRBgwYNAADh4eG4efMm50SEGAcVL4SYoN69ewPInZrflBfi+/LLL1GnTh3Ex8dj9uzZvOPo1ZQpU5Ceno5mzZphyJAhvOMU68KFC8L3nTp14piEEOOh4oUQEzNnzhxh4b2xY8dCJpNxTlQ8GxsbLF26FADw008/4e7du5wT6UdERIRwK2z58uUQi033T6VCocCgQYMA5LYWbdiwgXMiQgyPOuwSYkK0Wi1sbW2h1Wphb29vNrPY9ujRA0ePHkX37t1x9OhR3nEqhDGGwMBAXLx4EQMGDMC2bdt4RyoVW1tbqNVqyGQyqFQq3nEIKTPqsEuImerZsye0Wi0AYMeOHZzTlN6SJUsglUoRGhqKP/74g3ecCtm9ezcuXrwIe3t7s5pFeOXKlQAAtVqNkJAQzmkIMSxqeSHERERHR8Pf3x8AUK1aNbNbt2bcuHFYvHgxateujRs3bsDGxoZ3pDLLyspCnTp18OzZM8yaNUtYy8hceHl5IS4uDgCQkpIChULBOREhpUctL4SYoaCgIOF7c5z47fvvv4enpyfu3r0rTKVvbhYuXIhnz56hatWqGDduHO84ZXbixAnh+8DAQI5JCDEsKl4IMQGHDh0S1gnq1q0bqlatyjdQOSgUCmHW1xkzZiA+Pp5zorKJjo4WbhMtXLjQLCd8a9SoEVq0aAEAuHHjBsLCwjgnIsQw6LYRISbAwcEBWVlZkEgkUKlUZjtbrVarRbNmzXDt2jV8/vnnWLt2Le9Ipda/f3/s3LkTgYGBOHv2LEQiEe9I5aJUKuHg4ADGGFxdXZGUlMQ7EiGlQreNCDEj48aNExbWmzlzptkWLkDumjvLly8HAKxfvx7Xr1/nnKh0Lly4gJ07d0IkEmH58uVmW7gAgFwux//+9z8AQHJysrAKOCGWhFpeCOFIrVZDLpdDp9NBoVBYzCy1/fr1w+7du9GuXTucOnXKpIsBnU6Ht99+G1evXsWIESNMZgHMirK3t4dSqYRUKkV2drZZF8XEOphcy8vq1atRvXp12NnZISAgAOfPny/V4y5evAipVIrGjRsbNiAhnHTs2BE6nQ4A8Pvvv/MNo0c//vgj7OzscObMGezfv593nBJt2bIFV69ehbOzM+bMmcM7jt5s3boVAKDRaPDRRx9xTkOIfhm8eNm1axdGjx6NKVOmIDIyEoGBgejWrRuio6NLfFxqaiqGDBlCi40Ri3X79m1have6deuiXbt2fAPpkb+/P7777jsAubfFlEol50RFS0tLw6RJkwAA06ZNQ6VKlTgn0p8+ffqgSpUqAHIL49jYWM6JCNEfgxcvS5YswbBhwzB8+HDUrVsXy5YtQ5UqVbBmzZoSH/f5559jwIABaNWqlaEjEsJF/sI8//o0lmLChAnw8/PDkydPsGTJEt5xijRnzhzExcWhZs2a+Prrr3nH0bv8Q+5p6DSxJAYtXtRqNSIiIhAcHFxge3BwcIlD+DZv3oyHDx9i+vTprz2HSqVCWlpagS9CTN0vv/yCmJgYALn9Q9zc3Dgn0j8HBwf8+OOPAHJXZX7x4gXnRAXdv38fy5YtAwAsXbrUpNeQKq/q1asLRfKDBw9w/PhxzokI0Q+DFi8JCQnQarXw8vIqsN3Ly6vYJsz79+9j4sSJ2LZtG6RS6WvPMW/ePCgUCuErr5mUEFP22WefAchd2NBc1s4pj/79+6N169bIzMwUbs+YinHjxiEnJwddu3ZF9+7deccxmOPHjwsLS1LfF2IpjNJh978jDRhjRY4+0Gq1GDBgAGbOnIlatWqV6tiTJk1Camqq8PXs2TO9ZCbEUIYNGyYsnLd8+XKLHgWSN/QYAH799VdcunSJc6Jcf/75Jw4dOgSpVIolS5aY9GioipJIJJg6dSoAICMjQ/ieEHNm0KHSarUa9vb22LNnD95//31h+6hRo3Dt2rVCU6CnpKTA1dW1wB9znU4HxhgkEgn+/PNPdOjQocRz0lBpYsoyMjLg7OwMxhg8PDzMbhba8vr000+xefNmNG/eHOHh4UJLAA85OTlo3LgxoqKiMHr0aCxdupRbFmNydnZGeno6xGIxlEqlRd4mI+bNZIZKy2QyBAQEFFhvA8hdf6N169aF9nd2dsaNGzdw7do14WvkyJGoXbs2rl27Jkx7TYi5CgwMRN7nhf9eF5bshx9+gKOjIy5fvozffvuNa5a1a9ciKioK7u7umDZtGtcsxrRv3z4AuR8Iu3btyjkNIRXEDGznzp3MxsaGbdy4kUVFRbHRo0czBwcH9uTJE8YYYxMnTmSDBw8u9vHTp09nb731VqnPl5qaygCw1NTUikYnRK/+/vtvBoABYAEBAbzjGN38+fMZAObj48PS09O5ZEhISGCurq4MAFuzZg2XDDzVrFlT+B188OAB7ziEFFCW92+Dt93269cPy5Ytw6xZs9C4cWOcO3cOoaGh8Pf3BwDExMS8ds4XQixBXqdQkUiEM2fO8A3DwejRo1GjRg3ExMRg3rx5XDJMnz4dycnJaNSoEUaMGMElA0/nzp0TvrekeYWI9aHlAQgxgmXLlmHMmDEAYHYLFurTwYMH0bt3b9ja2iIqKgpvvPGG0c5948YNNG7cGDqdDqdOnUL79u2Ndm5T8uGHHwqzHu/cuRP9+vXjnIiQXGV5/6bihRAD02q1sLOzg0ajgZ2dncnONmsMjDEEBwfjr7/+wgcffCD0wzDGeTt16oRTp07hww8/xN69e41yXlNEv4/EVJlMh11CSO6tU41GAwDYuHEj5zR8iUQiLF26FGKxGPv378epU6eMct6DBw/i1KlTsLW1xcKFC41yTlMlkUiwYMECAEB2drawAjUh5oRaXggxoPj4eGG9HD8/Pzx//pxzItPw1VdfYdWqVWjYsCGuXr1aqgkpy0ulUqFevXp49OgRJk+ejLlz5xrsXObE3d0dSUlJEIlEyMzMhFwu5x2JWDlqeSHERORfT8ZYrQzmYObMmXB1dcWNGzewYcMGg55r2bJlePToEXx8fExull+e/vjjDwC5t9SCgoI4pyGkbKh4IcRATp06hbt37wIAgoKCSj1rtDVwd3fHrFmzAABTp05FcnKyQc4TExODOXPmAAAWLFgAR0dHg5zHHDVv3hxvvfUWAODKlSu4fv0650SElB4VL4QYSN6s0mKxGH/++SfnNKZn5MiRqF+/PhITEzFz5kyDnGPy5MnIyMhAixYtMHDgQIOcw5ydPXtWWBqhc+fOnNMQUnpUvBBiANOnTxdWOB8/fjxNxV4EqVQqTM2/cuVKREVF6fX4V65cwZYtWwDkriHFc0kCU6VQKBASEgIgt3+WtQ7hJ+aHOuwSomdarRYymQw6nQ4ODg7IyMjgHcmk9erVC4cOHUKXLl3wxx9/6GWRRMYY2rRpg/DwcAwePBi//PKLHpJaLltbW6jVatjY2ECtVvOOQ6wUddglhKPu3btDp9MBAHbv3s05jelbvHgxbGxscPz4cYSGhurlmDt27EB4eDgcHBy4zeZrTtatWwcgd9FKur1GzAEVL4To0ePHj4X+LTVq1BCWBCDFe/PNN4XZh8eMGVPhT/6ZmZkYP348gNw+L35+fhXOaOmGDh0Kb29vAMD27duRlJTEOREhJaPihRA9yr9ezNmzZ/kFMTNTpkyBl5cX7t+/jxUrVlToWAsWLMCLFy9QrVo1jB07Vk8JLV/+ofxt27blmISQ16PihRA92bdvn7DIaM+ePekTfxk4Ozvjhx9+AADMmjULr169Ktdxnjx5Isygu2jRItjZ2ekto6WrW7cuWrduDQC4detWgUUcCTE11GGXED2xt7eHUqmERCKBSqWCRCLhHcms6HQ6NG/eHBERERg+fDjWr19f5mP07dsXe/bsQbt27XDq1Cm9dP61JkqlEg4ODmCMQaFQICUlhXckYkWowy4hRjZ69Ghhgbu5c+dS4VIOYrEYy5cvB5C7BlRkZGSZHn/u3Dns2bMHYrEYy5Yto8KlHORyOUaPHg0ASE1NFdZAIsTUUMsLIRWU/9Oqi4uLwWaLtRYDBgzAjh07EBgYWGAStZJotVo0a9YM165dw8iRI7FmzRojJLVcDg4OyMrKolZEYlTU8kKIEXXs2BF5nwGOHDnCOY35W7BgAeRyOc6fP489e/aU6jGbNm3CtWvX4OLiIiw7QMrvt99+A5BbFPbu3ZtvGEKKQMULIRVw8+ZNhIeHAwAaNGiANm3acE5k/qpUqYIJEyYAAL777jtkZWWVuH9KSgqmTJkCIHdmY09PT4NntHTvv/8+/P39AeQW5C9evOCciJCCqHghpAI6deokfE+jM/Tnu+++Q5UqVRAdHY1FixaVuO/s2bMRHx+POnXq4H//+5+RElq+/L/P+VdHJ8QUUPFCSDlt3LhRGNI7aNAguLq6ck5kOezt7YUhz/Pnz8ezZ8+K3O/u3bv46aefAABLly6FjY2N0TJauqpVq6JLly4AcidfpFuixJRQh11CyilvPRiZTAaVSsU7jsVhjKFt27a4cOECBgwYgG3bthXap0ePHjh69CjeffddenM1AK1WC1tbW2i1WlqnixgcddglxMBCQkKEaexXrlzJOY1lEolEWL58OUQiEbZv346LFy8W+Pkff/yBo0ePQiqVYsmSJZxSWjaJRILp06cDyF12Ia8vEiG8UcsLIWWUmpoKFxcXAEClSpXKPRssKZ3hw4dj48aNCAgIwOXLlyEWi5GTk4OGDRvi7t27GDt2LBYvXsw7pkVTKBRIS0uDWCyGUqmETCbjHYlYIGp5IcSA8ndePHHiBMck1mHu3LlwcnJCREQEtm7dCgBYtWoV7t69C09PT3z//fecE1q+AwcOAMidBTl/J3VCeKHihZBSmjZtGqpXr44bN24AAJo3b45GjRpxTmX5vLy8MG3aNADAt99+iylTpggFy9y5c4VWMGI4HTp0QJ06dQAA58+fR82aNYXXhBAe6LYRIaXg5ORUqLNiVlYW5HI5p0TWRa1Ww8PDA+np6cI2V1dXxMfH0+yvRhIfH49KlSoV2Obo6FjgNSGkIsry/i01UiZCzNa0adOKHGXh7+9PK0cbSWZmZqE3yeTkZNStWxcODg6cUlmXoiaqy8jIwLRp02hWY2J01PJCyGs0aNAAt27d4h2DEJPUoEED4VYqIRVBLS+E6NEHH3xQZPHi5+cnTKFODCs9Pb3IN8iGDRvCycmJQyLr8/Tp0yJbX95//30OaYi1o5YXQl4jNjYWPj4+hbZnZmbC3t6eQyLrNHToUGG0EZA7186WLVv4BbIySUlJcHd3L7Q9PT0djo6OHBIRS0NDpQnRo/xDo6tVqyZ8P2TIEA5prNeWLVtw+fJlLF26FJcvX6bCxcj69u0rfF+1alXh+6CgIB5xiJWj4oWQEhw/fhwPHjwAAHTs2BGPHz9G//79AQD79+/H/fv3ecazOm+//TZGjx6Nt99+m3cUq/LPP//g5MmTAICvvvoKT58+RZMmTQAAV69eRUREBM94xArRbSNCSuDs7Iz09HSIxWKo1WpIJBKo1WooFApkZ2ejYcOG+Pfff3nHJMSg3njjDTx+/BhOTk5ISUmBWCxGRkYGnJ2dwRiDh4cH4uPjecckZo5uGxGiB99//70wPHfq1KnCfCIymQxz584FANy4cQP79u3jlpEQQ/v555/x+PFjAMDq1ashFue+bTg6OmL48OEAgISEBFrjixiVUVpeVq9ejYULFyImJgb169fHsmXLCvQjyG///v1Ys2YNrl27BpVKhfr162PGjBnC0uyvQy0vRB/UajXkcjl0Oh2cnJyQlpZWaB8/Pz+8fPkSrq6uSEhIEP6oE2IpNBoNXFxckJmZiZo1a+LevXuF9rGzs4NKpYKNjQ2USiVNGkjKzaRaXnbt2oXRo0djypQpiIyMRGBgILp164bo6Ogi9z937hw6d+6M0NBQREREoH379ujZsyciIyMNHZUQQbdu3aDT6QCg2JaV7du3A8idLG3KlClGy0aIsXzxxRfIzMwEAOzdu7fIfdavXw8AyMnJwcCBA42WjVg3g7e8tGjRAk2bNsWaNWuEbXXr1kXv3r0xb968Uh2jfv366NevX6nW0qCWF1JRDx8+xJtvvgkAxX7azNOmTRuEhYVBKpUiMTGRfueIxXj58iWqVKkCnU6Hbt26ITQ0tNh9fX19ERMTAwBITEyEm5ubsWISC2IyLS9qtRoREREIDg4usD04OBhhYWGlOoZOp0N6ejpdDMRo2rVrJ3x/7ty5Evfdt28fxGIxNBoN+vXrZ+BkhBjPRx99BJ1OB6lUip07d5a475kzZ4Tv27RpY+BkhBi4eElISIBWq4WXl1eB7V5eXoiNjS3VMRYvXozMzMwCcwzkp1KpkJaWVuCLkPLas2cPnj9/DiB35lBvb+8S9/f29saIESMAAMeOHcO1a9cMHZEQgztz5gzCw8MBAOPHj3/tp+BatWoJ/Rjv3LlToJghxBCM0sNQJBIV+DdjrNC2ouzYsQMzZszArl27Cq1mmmfevHlQKBTCV5UqVfSSmVinvInnpFIp9uzZU6rHrFy5UlgcsE+fPgbLRoixDBgwAADg5uaG2bNnl+oxf/31l9BpvVevXgbLRghg4OLFw8MDEomkUCtLXFxcodaY/9q1axeGDRuG3bt3o1OnTsXuN2nSJKSmpgpfz54900t2Yn2++uorZGdnAwAWLFhQ6lETUqkUy5cvBwA8ePCgwBT2hJibxYsXC/1XNm7cWOpRdDKZDOPGjQOQ23dhzpw5BstIiFE67AYEBGD16tXCtnr16qFXr17FdtjdsWMHPv30U+zYsQO9e/cu0/mowy4pD6VSCQcHBzDG4ObmhsTExDIfo0aNGnj06BEcHR2RmppKQ6eJ2cnOzoarq2uFJmB0cHBAVlYWJBIJVCoVDZ0mpWYyHXYBYOzYsdiwYQM2bdqE27dvY8yYMYiOjsbIkSMB5Lac5F8jZseOHRgyZAgWL16Mli1bIjY2FrGxsUhNTTV0VGLF2rVrh7w6/o8//ijXMXbt2gUAyMjIwNdff623bIQYyyeffILs7GyIRCIcOHCgXMfIuw60Wi169Oihz3iE/B9mBKtWrWL+/v5MJpOxpk2bsrNnzwo/CwkJYUFBQcK/g4KCGIBCXyEhIaU6V2pqKgPAUlNT9fwsiKW6fv268Hv21ltvVehYnTt3ZgCYWCxmr1690k9AQozgwYMHTCQSMQCsT58+FTpW9erVhWvq6dOnekpILF1Z3r9pbSNi9by8vBAXFwcASElJgUKhKPexUlJS4OnpCY1Gg8DAwNcOtSbEVDRu3BjXr1+Hra0tUlJSYGdnV+5jvXjxApUrVwaQuxJ73vIChJTEpG4bEWLK1q1bJxQuISEhFSpcAMDFxQWjR48GAJw/fx4XL16saERCDO7QoUO4fv06AGDWrFkVKlyA3KUzunfvDgB48uQJDh48WOGMhORHLS/Eqtna2kKtVkMmk0GlUunlmDqdDu7u7khJSUGVKlWKXQqDEFOg0+lQqVIlJCYmwtvbWxhpVFFarRa2trbQarWwt7cXlhkgpDjU8kJIKQwcOBBqtRpAbguMvojFYuF4z549w4oVK/R2bEL0bcaMGcLout9++01vx5VIJMIcMVlZWRg7dqzejk0ItbwQq5SUlAR3d3cA0Ounzfzq16+PqKgoyOVypKSkQCaT6f0chFRERkYG3NzckJOTgxYtWuDSpUt6P4eLiwtSU1MhEomQnZ1N1wEpFrW8EPIaQUFBwvenTp0yyDnyVuFVKpUYPny4Qc5BSEV8/PHHyMnJgVgsxv79+w1yjkOHDgHInVm9Q4cOBjkHsT5UvBCrc/78edy8eRMA0Lp1a9StW9cg58lbPR3IbY6nvi/ElNy8eRNHjx4FkNtZ3dfX1yDnadu2LerVqwcAuHjxIm7fvm2Q8xDrQreNiNVxdXVFSkoKRCIRMjMzIZfLDXaurKwsuLq6Qq1WIyAgAP/884/BzkVIWdSuXRv37t2Dvb09UlNTIZVKDXYuY9ymJeaPbhsRUowFCxYgJSUFADB69GiDFi4AYG9vj++//x4AEBERUe7ZewnRp23btuHevXsAgCVLlhi0cAFyF3js378/ACA2NhZbtmwx6PmI5aOWF2I1eA7dzJsIr1KlSnj16pXRzkvIf+l0Ori6uiItLQ3+/v548uSJUc6r1Wohl8uRk5MDW1tbYRFUQvJQywshRejduze0Wi0A/Q4JLY28labj4uKE4aOE8DBmzBikpaUBAHbv3m2080okEmH1dZVKhU8//dRo5yaWh1peiFXIP125MT9t5tesWTNERERAJpMhOTkZ9vb2Rs9ArFtCQgK8vb2h1WrRvn17g420K4mnpycSEhIgEomQmpoKJycno2cgpolaXgj5j7Zt2wrf81pvaN++fRCJRFCr1Rg0aBCXDMS69enTB1qtFhKJxKitLvmdOHECQO7Q6fzXJSFlQcULsXihoaF49OgRAKBLly6oWrUqlxz+/v5C0XLgwAEaMkqM6u+//8aZM2cAAF9//TU8PDy45GjcuDGaNWsGALh27RouX77MJQcxb3TbiFg8R0dHZGZmQiKRQKVSQSKRcMuiVqvh4uICpVKJevXq4datW9yyEOtSrVo1PH36FM7OzkhOToZYzO+zq1KphIODAxhjcHNzE5YnINaNbhsR8v9NmDBBGFU0ffp0roULAMhkMixYsAAAEBUVhT179nDNQ6zD6tWr8fTpUwDA2rVruRYuACCXyzFy5EgAuXPALFmyhGseYn6o5YVYLLVaDblcDp1OB2dnZ6SmpvKOJKhSpQqeP38OFxcXJCYmcn8zIZZLo9FAoVAgKysLtWvXxp07d3hHEsjlcmRnZ0MqlSI7O5v7hwvCF7W8EAIgODgYOp0OQG4fE1OyY8cOAEBKSgomTpzIOQ2xZJ999hmysrIA/N96W6Zi06ZNAHILrH79+nFOQ8wJtbwQi3Tv3j3Url0bAFCnTh2T7Bzbtm1bnD9/HlKpFPHx8XBxceEdiViY58+fw9/fHzqdDj169MDhw4d5RyqkcuXKePHiBYDceZA8PT05JyK8UMsLsXr5V6/lNTT6dfbu3QuxWAyNRoO+ffvyjkMs0IcffgidTgcbGxuhtc/UnD17Vvj+nXfe4ZiEmBMqXojF2b59u/BJrk+fPib7Sa5SpUpCp8UTJ04gIiKCcyJiSU6cOCEMQ548eTIcHR05JypajRo10L59ewC5LaZ588AQUhK6bUQsjp2dHVQqlVl0AtTpdFAoFMjIyMAbb7yBhw8f8o5ELISPjw9iY2Ph7u6OuLg4k+4Unr9zvZOTk7B8AbEudNuIWK2RI0dCpVIByF0t15QLFwAQi8VYuXIlAODRo0fYuHEj50TEEsyfPx+xsbEAgC1btph04QLkTiEwYcIEAEB6ejqmT5/OORExddTyQixGRkYGnJ2dwRiDu7s7EhISeEcqtZo1a+LBgwdwcHBASkoKpFIp70jETGVnZ8PFxQUqlQqNGzdGZGQk70il5uTkhIyMDIjFYqjVapP/8EH0i1peiFVq164d8mrx48ePc05TNnmT1WVmZuKrr77inIaYs8GDB0OlUkEkEmH//v2845TJrl27AOTeTu3atSvnNMSUUfFCLEJERITQ4bVJkyYICAjgnKhsGjduLPyxXr9+vdDkT0hZ3L9/H/v27QMAfPzxx6hevTrnRGXTvXt3vPnmmwCAv/76C48fP+aciJgqum1ELIKnpycSEhIgEomQlpZmsiMrSpKWlgZ3d3doNBq0bt0aFy9e5B2JmJlGjRrhxo0bsLOzQ3JyMuzs7HhHKrPY2Fj4+PgAyJ2JOjo6mnMiYix024hYlZUrVwr9W4YPH26WhQsAODs7Y9y4cQCAsLAwk52fhpimAwcO4MaNGwCAOXPmmGXhAgDe3t547733AADPnj0TWpIIyY9aXohZ02q1kMvlyMnJga2tLbKzs3lHqhCdTgcPDw8kJyfDz88Pz58/5x2JmIH8vze+vr7CPEfmSqvVws7ODhqNBnK5XFjegFg2ankhVmPgwIHIyckBAGzYsIFzmooTi8XCcOkXL15g6dKlnBMRczB16lQkJycDALZt28Y5TcVJJBLMnTsXAKBUKjFq1CjOiYipoZYXYraSkpLg7u4OABbxaTO//H0XUlJSYGtryzsSMVGW3FfKzc0NycnJEIlEyMzMhFwu5x2JGBC1vBCr0KZNG+H706dPc0yif/v27YNIJEJ2djY+/fRT3nGICevXrx80Gg3EYrHF9Q/JW0iSMVZgvTJCqHghZunMmTO4c+cOACAwMBC1atXinEi/atasiQ8++AAAsGPHDhoySop0/fp1HDt2DAAwbNgweHt7c06kX23atEGDBg0AAJcuXcLNmzc5JyKmgm4bEbOkUCiQlpYGsVgMpVIJmUzGO5LeZWVlwc3NDSqVCk2aNMHVq1d5RyImplatWrh//75Fz8ycmpoKFxcXAICXlxfNgWTB6LYRsWhz5swRFm4bN26cRRYuAGBvb48ZM2YAACIjI3H06FG+gYhJ2bp1K+7fvw8AWLZsmUUWLkDuB5UhQ4YAAF69eoX169dzTkRMgVFaXlavXo2FCxciJiYG9evXx7JlyxAYGFjs/mfPnsXYsWNx69Yt+Pr6Yvz48Rg5cmSpzkUtL5ZNq9XC1tYWWq0WDg4OyMjI4B3J4PJWB/bw8EBcXBxEIhHvSIQza1yN3NbWFmq1GjKZTFh8lVgWk2p52bVrF0aPHo0pU6YgMjISgYGB6NatW7GzJj5+/Bjdu3dHYGAgIiMjMXnyZHzzzTcW1xGNlE+PHj2g1WoBADt37uScxjh+/fVXAEBCQgJmzpzJOQ0xBV9//bVQuOetB2TpVq1aBQBQq9VCSwyxXgZveWnRogWaNm2KNWvWCNvq1q2L3r17Y968eYX2nzBhAg4dOoTbt28L20aOHInr168jPDz8teejlhfLFR0dDX9/fwBA9erV8ejRI86JjKd58+a4cuUKbGxskJSUZLazCJOKi4uLg6+vL7RaLTp16oQTJ07wjmQ0Xl5eiIuLAwCkpKRAoVBwTkT0yWRaXtRqNSIiIhAcHFxge3BwMMLCwop8THh4eKH9u3Tpgn/++UeYjCw/lUqFtLS0Al/EMgUFBQnfnz9/nmMS49u/fz9EIhFycnIwcOBA3nEIRx999BG0Wi2kUqnVtLrkyV+oldT1gFg+gxYvCQkJ0Gq18PLyKrC9pB7jsbGxRe6v0WiE9WvymzdvHhQKhfBVpUoV/T0BYjIOHTqEJ0+eAMhdedbPz49vICOrXLkyQkJCAOT+X9y6dYtzIsLDxYsXhcJ99OjRcHNz45zIuBo1aoSWLVsCAG7cuGFRE/KRsjHKaKP/djBkjJXY6bCo/YvaDgCTJk1Camqq8PXs2TM9JCampn///gBypw0/dOgQ5zR8rF+/Hvb29gByP30T65N3Hbi4uGDBggWc0/Bx6tQp4b2gZ8+enNMQXgxavHh4eEAikRRqZYmLiyvUupLH29u7yP2lUqkwFXx+tra2cHZ2LvBFLMvYsWOFhdlmz54NiUTCOREfUqkUCxcuBADcuXPHajosk1wrVqwQPpytW7cOYrF1znQhl8vx9ddfAwCSk5OFa4JYF6N02A0ICMDq1auFbfXq1UOvXr2K7bB7+PBhREVFCdu++OILXLt2jTrsWiG1Wg07OzswxqBQKJCSksI7Enf+/v6Ijo6Gs7MzkpOTrfZNzJqo1Wq4uLhAqVSibt26Bf4+Wit7e3solUpIpVJkZ2db7YcaS2IyHXaB3E/NGzZswKZNm3D79m2MGTMG0dHRwrwtkyZNKjDsbeTIkXj69CnGjh2L27dvY9OmTdi4cSPGjRtn6KjEBHXo0EG4bWitt4v+K6/FJS0tja4LKzF8+HAolUoAoGkj/r+tW7cCADQajbCUBrEizAhWrVrF/P39mUwmY02bNmVnz54VfhYSEsKCgoIK7H/mzBnWpEkTJpPJWLVq1diaNWtKfa7U1FQGgKWmpuorPuEkKiqKAWAAWL169XjHMSnt2rVjAJhEImGJiYm84xADevr0KROJRAwA6927N+84JqVKlSrC34iYmBjecUgFleX9m9Y2IibL19cXMTExAIDExESrG1lRkoSEBHh7e0Or1aJDhw44efIk70jEQJo1a4aIiAjIZDIkJycLnbZJ7qSmb7zxBgDgzTffFJZLIObJpG4bEVIeW7ZsEQqX/v37U+HyHx4eHvjf//4HIHf0xeXLlzknIobwxx9/ICIiAgAwdepUKlz+o3r16ujUqRMA4MGDB/jjjz84JyLGQi0vxCTZ2dlBpVLBxsYGSqWSOuMVQafTwdXVFWlpaahWrRoeP37MOxLRs7wZZT09PYWZZUlBWq0WMpkMOp0Ojo6OSE9P5x2JlBO1vBCzNmzYMGHhteXLl1PhUgyxWCys9/LkyROsW7eOcyKiT3PmzBEKlrzOqaQwiUSCqVOnAgAyMjIwefJkzomIMVDLCzEpGRkZcHZ2BmOMPm2WUu3atXHv3j3Y29sjNTUVUqmUdyRSQVlZWXB1dYVarUZAQAD++ecf3pFMnrOzM9LT0yEWi6FUKiGTyXhHImVELS/EbAUGBgpDo//880/OacxD3tDZrKwsYQoCYt4GDRoEtVoNkUhEQ6NLKe//SafToWvXrpzTEEOj4oWYjMuXL+PatWsAckdYNG7cmGsec9GgQQO8++67AIDNmzfjxYsXnBORirh9+zYOHDgAABg4cKCwkjopWefOnVGrVi0AwOnTp/Hw4UPOiYgh0W0jYjLc3d2RlJQEkUiEzMxMyOVy3pHMRnp6Otzd3ZGTk4OWLVuWajZqYprq16+PqKgo2NnZITU1lW5/lEH+pWf8/Pzw/PlzzolIWdBtI2J2li1bhqSkJAC5syxT4VI2Tk5OmDBhAgDg0qVLOHXqFOdEpDz27t0rTP0/f/58KlzKqFKlSsJsuy9evMCuXbs4JyKGQi0vhDutVgs7OztoNBrY2dkJ06CTstHpdKhUqRISExPh4+ODly9f8o5EykCn08Hd3R0pKSmoXLmysAgjKRv6e2K+qOWFmJV+/fpBo9EAyO2zQcpHLBZj06ZNAICYmBj8+OOPnBORspg4caKw8OiOHTv4hjFjEolEWGk6OzsbX375JedExBCo5YVwFR8fj0qVKgGge9T60rhxY1y/fh22trZISUmBnZ0d70jkNVJSUuDp6QmNRoN33nkH58+f5x3J7OXvQ5eeng4HBwfekchrUMsLMRvvvPOO8P3Zs2c5JrEc+/btg0gkgkqlQkhICO84pBT69u0LjUYDsVhMQ6P1JG+pAMYY2rdvzzkN0TcqXgg3J0+exL179wAA7du3R40aNTgnsgw1atRA3759AQB79uyhIaMm7urVqzhx4gQA4PPPPxdaIknFNG/eHG+99RYA4MqVK8I0DMQy0G0jwo1CoUBaWhrNiGkA2dnZcHFxgUqlQqNGjXD9+nXekUgxatSogUePHsHR0RGpqakQi+kzpb6kpqbC1dWVZuw2E3TbiJi86dOnIy0tDQAwYcIEKlz0zM7ODrNnzwYA/Pvvvzh06BDnRKQoGzduxKNHjwAAK1eupMJFzxQKBT755BMAuf3r1qxZwzkR0RdqeSFGR6vAGo+vry9iYmLg5uaG+Ph4enM0IRqNBi4uLsjMzESNGjXw4MED3pEsVv5V6rOzs+k6MFHU8kJMWteuXaHT6QCAJpEysG3btgEAkpKSMG3aNM5pSH5fffUVMjMzAeROTkcMZ+3atQCAnJwcDBo0iHMaog/U8kKM6vHjx3jjjTcAgD5tGkmrVq1w6dIl2NjYICEhga4LExAbGws/Pz/odDp06dIFx44d4x3J4vn4+CA2NhYAkJiYCDc3N86JyH9RywsxSUeOHEHDhg2Ff9NcFsaxb98+iMVi5OTkoEOHDvjyyy9x5MgR3rGs1pEjR9C4cWPodDpIpVLs3LmTdySrkH/JjMaNG9N1YOao5YUYRZs2bRAWFib829XVVVjLiBjeiBEjsGHDhgLbWrdujYsXL3JKZJ3+ex34+vrSKuBG9M477xT6nafrwHSU5f1baqRMxIodOXKkwB9sAEhOTsZ7770n3EIihhUTE1NoW1hYGI4cOYIePXpwSGR9iroOXr58SdeBESkUikLb6DowT1S8EIMLDQ0tcvvhw4eNnIT817Fjx+iPtpHQdWC66DowP1S8EIPr2LFjkfMr9OnTBzVr1uSQyPrcvXu3yGnnu3btyiGNdercuTNdB5zRdWA5qHghBrdo0aJC22rWrIndu3dzSGOdfv7550J/tL29venTphEVNRyargPjWrNmTaHrwMXFha4DM0SjjYhB3bx5E5cuXQIAVK1aFS1atAAAKJVKYY4LYlgpKSmYMmUKAGD48OHw8/MDkDvjaEJCAs9oVuPJkyfYsWMHAKBly5Z4++23AeQu45CVlcUzmtVITk7G999/DyB3DSlHR0cAudcHdZo2P1S8EIPq1KmT8P2///6L06dPo1q1anj+/DkWLlzIMZn1mD17NhISElCnTh2sXr0a//77LyQSCbRaLT766CPe8azCBx98AMYYZDIZTp48iTNnzqBq1ap49uxZkS2TRP9mzpyJxMRE1K9fHytXrsStW7eEnwUGBnJMRsqFWZjU1FQGgKWmpvKOYvXWr1/PADAAbMiQIcL2vXv3MgDMzs6OPX36lGNCy3fnzh0mlUoZAHbs2DFh+5gxY4TXJiwsjGNCy3f06FHh/3rOnDnC9l27djEATC6Xs+joaI4JLd+tW7eYRCJhANiJEyeE7V26dBFem8OHD3NMSBgr2/s3FS/EYGQyGQPAZDJZge06nY61a9eOAWD9+vXjlM46dO/enQFgPXr0KLBdq9UyhULBALCqVatySmcdPD09GQDm5eVVYLtOp2OBgYEMAOvfvz+ndJZPp9Ox4OBgBoD16tWrwM80Go1Q1Dg4OPAJSARlef+m20bEIIYMGQK1Wg0AWL16dYGfiUQiLFu2DGKxGLt27aKZdg0kNDQUoaGhsLGxweLFiwv8TCwWY926dQCA6OhorFy5kkdEizdz5kzEx8cDAH799dcCPxOJRFi+fDlEIhF27NiBCxcu8Iho8Y4ePYo///wTMpms0C06iUSCGTNmAAAyMzPx3XffcUhIysUIxZRRUcsLfykpKUJTbKVKlYrd7/PPP2cAWJMmTZhGozFiQsunVqtZ7dq1GQD27bffFrtfnTp1hFsXarXaiAktX3p6OrOxsWEA2Ntvv13sfsOHD2cAWEBAANNqtUZMaPlUKhWrWbMmA8DGjx9f7H7Ozs4MABOLxUylUhkxIcmPWl4IV/k7v504caLY/WbPng2FQoHIyEhs2bLFCMmsx6pVq3D37l14enoKIyyKkjd8V6lU4rPPPjNWPKswcOBA5OTkQCQSFTm3SJ45c+bA2dkZERER2Lp1qxETWr4VK1bg/v378PLyEkbcFeXgwYMAAJ1OV2CQATFhRiimjIpaXvgKCwsTWl1atmz52v2XLl0qtNCkpKQYIaHli4uLE/qzrF+//rX7v/feewwAE4lE7NmzZ0ZIaPlu3rwpXAchISGv3X/RokVCvxj626UfsbGxQovKpk2bXrt/XiskAHbnzh0jJCT/RR12qXjhxtXVVXgjzMrKeu3+arVa+KMxbtw4IyS0fGW9HVfa2xuk9PLfjivNbYjS3t4gpVfW23Hx8fFC8eLr62uEhOS/qHih4oWLhQsXChf/N998U+rHhYaGMgDMxsaG3b1714AJLV9kZCQTiUQMADt37lypHzdjxgzhtfvzzz8NmNDy7dy5U/i/XLVqVakfd+TIEeE6uHfvngETWr6IiAjhOrh48WKpH9e3b1/htfvll18MmJAUxWSKl6SkJDZo0CDm7OzMnJ2d2aBBg1hycnKx+6vVajZ+/HjWoEEDZm9vz3x8fNjgwYPZixcvSn1OKl740Gg0wnwicrm8zI8vbkgvKT2dTseCgoIYANa3b98yP97Dw6PIIb2k9CoyBF2n0wnzjrz33nsGSmj5dDode+edd8o1BF2j0QitkLa2tgZKSIpjMsVL165dWYMGDVhYWBgLCwtjDRo0KPHNKSUlhXXq1Int2rWL3blzh4WHh7MWLVqwgICAUp+Tihc+evXqJXxi2b17d5kfX9xkaqT08k/+9+TJkzI/Pu+TPwA2d+5cAyS0fGPHjq3Q5H9RUVHCvCPUAlY+FZ38b8WKFcJrOHz4cAMkJMUxieIlKiqKAWCXLl0StoWHh5e5M9Tly5cZgFLPxErFi/HFxMQIF3uVKlXKfZy8P/x169alYbtllJWVxapVq8YAsGnTppX7OE2aNBEmFszMzNRjQsuXmJgoFB5BQUHlPs6oUaMYAFavXj2Wk5Ojv4BWIDMzk1WtWpUBYDNnziz3cdzd3YW+e+np6XpMSEpiEkOlw8PDoVAohIX4gNwFyRQKBcLCwkp9nNTUVIhEIri4uBT5c5VKhbS0tAJfxLjyD40+e/ZsuY/z/fffw9PTE7dv38aaNWv0Ec1qLFmyBE+ePEHlypUxfvz4ch9n3759EIlEUKvVGDJkiB4TWr6+fftCq9VCIpEUuYJ0aU2fPh3u7u6IiorC2rVr9ZjQ8i1atAjR0dGoWrUqxo0bV+7j/PnnnwAAxhiCgoL0FY/ok6EqqLlz57KaNWsW2l6zZk32ww8/lOoYSqWSBQQEsIEDBxa7z/Tp04VP/fm/qOXFOI4dOyb8n3fq1KnCx1u3bh0DwFxcXFh8fLweElq+58+fM3t7ewaAbd++vcLHGzBggPCpk4aMlk5eCzEA9vXXX1f4eGvWrGEAmKurK0tISNBDQssXHR3N5HI5A8B27dpV4eM1bdpUeE3/+ecfPSQkr2PQ20bFFQv5v65cucLmzp3LatWqVejxb775Jps3b95rz6NWq1mvXr1YkyZNSnwi2dnZLDU1Vfh69uwZFS9G5OjoKMxMqY9ZcjUaDXvrrbcYAPbFF1/oIaHlGzRoEAPAWrduzXQ6XYWPp1KpmJ2dHQPAGjRooIeEli/vlp2Tk5NeZsnNyclhDRs2ZADY//73Pz0ktHx5RXdgYKBeroP09HRhxJK7u7seEpLXMWjxEh8fz27fvl3il1KpZBs3bmQKhaLQ4xUKxWsnDFKr1ax3796sUaNGZf7UQX1ejGfy5MlCwVqRfhb/debMGaEgun79ut6Oa4ny+pHlfWjQlyVLlgjH3bt3r96Oa4nyWgsBsF9//VVvxz158qRwHdy4cUNvx7VEFy5cEFoLIyIi9HbcESNGCK/tTz/9pLfjkqKZVIfdv//+W9h26dKl13bYzStc6tevz+Li4sp8XipejEOlUjGxWCx82tS3Pn36MACsffv2evkUZYm0Wi1r3rw5A8A++eQTvR/fz89PuHVBa+4ULScnR7hlV9Rt8or64IMPGADWsWNHug6KodVqWUBAgMFGB9na2jIATCqV0hpsBmYSxQtjuUOlGzVqxMLDw1l4eDhr2LBhoaHStWvXZvv372eM5f4heO+991jlypXZtWvXWExMjPBV2sWyqHgxjg4dOhh0UrPHjx8Lty7yfj9IQVu3bmUAmKOjI4uJidH78c+ePSu8xhMnTtT78S1B3iyuAAzSSvjw4UPhzfP333/X+/EtwaZNmxgA5uzszGJjY/V+/F9//VV4jcszfxIpPZMpXhITE9nAgQOZk5MTc3JyYgMHDiw0SR0AtnnzZsZY7htWcf1oTp8+XapzUvFieA8ePBBel6L6NenL1KlTGQBWvXp1plQqDXYec5SWlsZ8fHwYALZgwQKDnadNmzbCp86SJpi0Ri9evBBaH7t3726w8+Tdnn3jjTdYdna2wc5jjlJTU5mXlxcDwBYtWmSw8/j6+gp/88pzR4CUjskULzxQ8WJ4lStXNsqFnJGRIdy6KO0INWsxadIkBoDVqFHDoG9oMTExwht0ly5dDHYec9SyZUsG5E7nb8i/N+np6UKhOn/+fIOdxxxNmDBBuGVX2tb58rh7967wN69OnToGO4+1o+KFiheDyb9uywcffGDw8/32228MAHNwcCjTMhGW7OHDh0wmkxntVkLeQo8A2NWrVw1+PnOQ15kWAJs8ebLBz5f/FuHLly8Nfj5zcP/+feE6OHz4sMHP17ZtW+E1P3nypMHPZ42oeKHixWDy+qEYq/OaTqdjrVq1YgBYSEiIwc9nDvI6cXbq1MkonThzcnKYg4OD0NJDmNAS4ubmZpTOzIbunG2O8pYk6dKli1Gug/yDFJydnQ1+PmtkEjPsEsvzv//9D9nZ2QCAhQsXQiKRGPycIpEIy5cvBwBs3boVly9fNvg5TdmpU6ewf/9+SCQSLF26FCKRyODnlEqlwmvw8OFDbN261eDnNGULFy5ETEwMAGDTpk0Qiw3/Z1QsFguvwebNm3HlyhWDn9OUnThxAgcPHjTqdSCTyYRZe9PS0jBr1iyDn5OUwAjFlFFRy4thZGVlCRM2ubm5Gf38ISEhDABr0aKF1Q7bzT9x2VdffWX087/xxhvCrQtrfQ2USqUw+qdRo0ZGP//gwYMZANaqVSurHTqdk5PD6tevzwCwUaNGGf38ea2QEomEhk7rGbW8EL0LCgoCYwwA8Mcffxj9/PPmzYOjoyP+/vtvbN++3ejnNwXr16/HjRs34OrqihkzZhj9/Hv27AEAZGRk4KuvvjL6+U3B0KFDoVKpIBKJsH//fqOff968ebC3t0d4eDh27Nhh9PObgnXr1uHWrVtwd3fH9OnTjX7+nTt3AgC0Wi3effddo5+f/H+Gr6WMi1pe9C8yMlLoqPbWW29xyzFv3jwGgPn6+lrdSq9JSUnCSrcrVqzglqNz587CrK+GmFPDlD148EBofezTpw+3HHPmzGEAmJ+fH8vIyOCWg4eEhATm6urKALDVq1dzy1G9enXhb+LTp0+55bA01GGXihe98vT0FKbeTklJ4ZZDqVQKty6mTp3KLQcPo0aNYgBY/fr1WU5ODrccycnJTCqVMgDsnXfe4ZaDh7w1t2xtbbnOO5SVlSWspaTPZTnMwVdffcUAsIYNG3K9Dp4/fy4UL/7+/txyWBoqXqh40Zu81W0BsE8//ZR3HLZ//37hDeTx48e84xjFrVu3mEQiYQDYiRMneMdh3333nfA7cf78ed5xjOLgwYPCc/7xxx95x2F79+5lAJidnR178uQJ7zhGcePGDeE6MIWhyu+++67wO0GzgOsHFS9UvOiNjY2NUCyYAp1OJyxN8NFHH/GOY3A6nY4FBwczAKxXr1684zDGcofturi4MACscuXKvOMYnFarZW5ubgwA8/Hx4R2HMZb7e9GuXTurmbJep9OxTp06GW1+qdLQaDRCMWVvb887jkWgDrtELwYOHIicnBwAuZ3kTIFIJMKyZcsgFouxd+9enDlzhnckgzp69Cj+/PNP2NjYYNGiRbzjAMgdtrt+/XoAwPPnz4UhvJZq+vTpSEpKAgD89ttvnNPkyn8d7N69G+fOneMdyaAOHz6Mv/76CzKZDAsXLuQdBwAgkUgwd+5cAEBWVhZGjx7NN5C1MUIxZVTU8qIfiYmJQpOot7c37ziFfPnll0IHYksdrqhSqVjNmjUZADZ+/HjecQqpV6+ecOvCkFOz85Samiq0PrZo0YJ3nELyZj9u3LixxV4H2dnZrEaNGgwAmzRpEu84heS1QopEIpaVlcU7jlmj20ZUvFRY3jwKAFhUVBTvOIXkH3Wwbt063nEMYtGiRQwA8/LyMsnf56ioKGH0zaBBg3jHMYi8fg1isdgkl6eIi4tjCoWCAWDr16/nHccgFixYINyyS0tL4x2nkHPnzgl/K1u3bs07jlmj4oWKlwo5e/ascDG2adOGd5xiLV++nAFgHh4eFrficWxsLHN2dmYA2KZNm3jHKdb7778vfOq0tI6jN27cEK6DYcOG8Y5TrKVLlzIAzNPTk+toQEOIiYlhjo6ODADbunUr7zjFyv9h79atW7zjmC0qXqh4qZC8T3Jisdikbweo1WpWt25dBoCNGTOGdxy9Gj58OAPAAgICTHo228zMTGFxvICAAN5x9KpWrVpCZ0yew3JfR61Wszp16jAA7Ntvv+UdR68++eQTBoA1b97cpK8DU7/Nbi6oeKHipdzmz58vXIRjx47lHee1jh07JiwUefv2bd5x9CIiIkK4HXPhwgXecV4rb9I0ACw0NJR3HL349ddfhedkDrclQ0NDhevgzp07vOPoxZUrV4TrIDw8nHec1xowYIDwO7N582beccwSFS9UvJSLuQ7969mzJwPAunXrxjtKhel0OvbOO+8wAKx///6845RapUqVhFsX5k6r1TInJyezm4Cse/fuDAB79913eUepMJ1Ox1q3bm12/anyOnfLZDLeUcwSDZUm5dKrVy9otVoApjMktDQWL14MGxsb/PHHHwgNDeUdp0L27NmDCxcuQC6XY8GCBbzjlNovv/wCAIiPjzf71XbHjBmD9PR0AP+3npM5WLJkCaRSKY4ePYpjx47xjlMhO3fuRFhYGOzt7TF//nzecUotb9oAtVqNTz75hHMaC2eEYsqoqOWlfPJPd12tWjXeccps3LhxDACrXbu2SffTKUlmZiarWrUqA8BmzpzJO06ZBQQECJ86MzMzeccpl/j4eKH1sUOHDrzjlNnYsWMZAFanTh2mVqt5xymXjIwMVrlyZQaAzZkzh3ecMjOV5VTMEd02ouKlzPLWDIKZLjSWkpIi3LpYsmQJ7zjlMnPmTAaAVa1a1Szf/J8+fSr0UejduzfvOOWSN2utRCJhiYmJvOOUWXJysvDmuWzZMt5xymXatGnChyhznDfFVBayNUdUvFDxUiaHDx8WLrauXbvyjlNuGzZsYACYQqFgr1694h2nTKKjo5lcLmcA2M6dO3nHKbfBgweb9PxAJQkLCxOyjx49mnecclu3bp1wHcTFxfGOUyZPnz5ldnZ2DADbs2cP7zjl9vbbbwu/S+bQ2dhUUPFCxUuZODg4CJ82zXmWTo1Gw5o2bcoAsM8++4x3nDLp378/A3JXatbpdLzjlJtKpRKKsLp16/KOUyZ5t+ycnZ1Nelju62g0GmEF7JEjR/KOUyb9+vVjAFhQUJBZXwdZWVlCK6SbmxvvOGaDOuySUpswYQIyMzMB5K7hIpFIOCcqP4lEInSYW79+Pa5du8Y3UCldvHgRO3bsgEgkwvLlyyESiXhHKjeZTCZ0NL59+zZ2797NOVHprF69GtHR0QCAtWvXQiw23z+N+a+Dn3/+Gf/++y/nRKVz/vx57Nq1C2KxGMuWLTPr60Aul2PkyJEAgKSkJCxZsoRzIgtkhGLKqKjlpfRUKhUTi8XCp01LYU6f3rRardDRdfjw4bzj6E2VKlUYAObi4mLyrRg5OTlCa1GdOnV4x9GbPn36MACsffv2Jn8daDQa1qRJEwaAff7557zj6E3eLTCpVGrWrdrGQi0vpFQ6d+4MnU4HADh48CDnNPrz448/ws7ODmfPnsW+fft4xynR1q1bERERAWdnZ8yZM4d3HL3ZsWMHACAlJQUTJkzgnKZkI0aMgFKpBADs3buXcxr9ybsOTp8+jQMHDvCOU6ItW7YgMjISCoUCs2fP5h1Hb7Zs2QIA0Gg06Nu3L98wlsYIxZRRUctL6dy9e1foUGZJnzbzTJ8+XZhkzFRHLKSmpjIvLy8GgC1cuJB3HL0LDAwUPnWa6sidZ8+eCX0TevbsyTuO3k2dOlUYuaNUKnnHKZIljBQsSd6wbwAsJiaGdxyTRh12qXh5LV9fX+GCSkhI4B1H7zIzM4U/GrNnz+Ydp0jjx49nAFjNmjXNdm6akrx69Uq4LdmpUyfecYqUNyrExsaGpaen846jdxkZGczPz48BYHPnzuUdp0iWMEdTSR48eCD8ra1ZsybvOCaNihcqXkqUf92Wvn378o5jMNu3bxeWOnj+/DnvOAXcv39fWNDw8OHDvOMYzJdffin8rl25coV3nAL+/PNPIdv06dN5xzGY3377jQFgDg4O7MWLF7zjFHD37l1hSn1LWRerKO3btxd+144fP847jsmi4oWKlxLZ2toKnzYtuROZTqdjbdq0Mcn1UXr16sUAsC5duph8Z8qKyL9O0BtvvME7TgHe3t4MAPPw8DD5TsUVodPpWKtWrRgANmTIEN5xCujRowcDwLp37847ikHlHxzh5OTEO47Jog67pFifffYZVCoVgNy1UMx5aPTr5B96/NtvvyE8PJx3JADAiRMncPDgQUgkEixdutSsh4S+jlgsxsqVKwEAjx49woYNGzgnyjVv3jzExsYCADZv3mzWQ6NfJ+86AHLXoPr77785J8p1/PhxHDlyBFKp1OKHEstkMkycOBEAkJ6ejunTp3NOZAGMUEwZFbW8FC89PV3onOjh4cE7jtF8+umnDAB7++23uX/CzsnJYfXq1WMA2KhRo7hmMaaaNWsKty5ycnK4ZsnMzBRaH5s0acI1izENHTqUAWAtWrTgfh2o1WpWt25dBoCNHTuWaxZjcnR0ZACYWCy26Fbv8qKWF1KkoKAgMMYAwOxXnS2LuXPnwsnJCVeuXMGvv/7KNcvatWsRFRUFd3d3q/r0lTcEOTMzE19++SXXLEOGDIFKpYJIJDL5ofT69MMPP8DR0RF///03tm3bxjXLmjVrcPv2bXh4eOD777/nmsWY8q4DnU6HLl26cE5j5gxfSxkXtbwU7Z9//hE6jDVt2pR3HKNbsGABA8C8vb1ZWloalwwJCQnM1dWVAWCrV6/mkoGnrl27Cp86eQ0ZvXfvntD62L9/fy4ZeJo3bx4DwHx8fLiNroqPj2cuLi4MAFu3bh2XDDy9+eabwt/iR48e8Y5jUqjDLhUvhXh4eAjLtFvikNDXyc7OZjVq1GAA2KRJk7hk+OqrrxgA1rBhQ+63TnhITU1lUqmUAWCtW7fmkqFhw4YMALOzs7PIYbmvo1QqhRXkp0yZwiXDF198Iay4bI23TmJiYoTipUqVKrzjmBQqXqh4KWDFihXCxTJixAjecbg5ePAgA8BkMhl7+PChUc9948YNJpFIGAB28uRJo57blEyaNEn4XTx9+rRRz713717h3IsXLzbquU3JgQMHGABma2tr9E/+//77rzDq5syZM0Y9tynJG20IgO3evZt3HJNhMsVLUlISGzRoEHN2dmbOzs5s0KBBLDk5udSP/+yzzxgAtnTp0lI/hoqXgjQajfBp19bWlnccrnQ6HevcuTMDwN5//32jnrdjx44MAPvggw+Mdl5TpNVqmZubGwPAfH19jXrevFt2fn5+RjuvKcr/+/jhhx8a9bx585306dPHaOc1Rfn/Lsvlct5xTIbJdNgdMGAArl27hmPHjuHYsWO4du0aBg8eXKrH/v777/j777/h6+tryIgWb8CAAdBoNACATZs2cU7Dl0gkwtKlSyGRSHDgwAGcPHnSKOc9dOgQTp48CZlMhoULFxrlnKZKLBYLw6VfvnyJxYsXG+W8U6ZMQXJyMgBg+/btRjmnqcq7DsRiMfbt24fTp08b5by///47Tp8+DVtbW/z4449GOaepkkgkmD9/PgBAqVTi66+/5pzIDBmqgoqKimIA2KVLl4Rt4eHhDAC7c+dOiY99/vw58/PzYzdv3mT+/v7U8lJOcXFxQtOkMT/lmrq8vicNGjQweN8TU+hrY4ry9z0x9Jo7ptDXxhTlzX7cqFEjg/c9USqVrHr16gwAmzp1qkHPZU7yWgNFIpHJrsFmTCbR8hIeHg6FQoEWLVoI21q2bAmFQoGwsLBiH6fT6TB48GB89913qF+//mvPo1KpkJaWVuCL5Grbtq3wvbE+XZmDmTNnws3NDTdv3sT69esNeq7ly5fj4cOH8PHxwaRJkwx6LnOyb98+iEQiZGdn49NPPzXoufr16weNRiO0NJBcs2bNgqurK/7991+DTx64dOlSPH78GH5+fsJkbQQ4fPgwAIAxhvbt23NOY14MVrzExsaiUqVKhbZXqlRJmNmyKAsWLIBUKsU333xTqvPMmzcPCoVC+KpSpUq5M1uSM2fO4M6dOwByi5hatWpxTmQ63NzcMGvWLADA999/j6SkJIOcJzY2FrNnzwYAzJ8/H05OTgY5jzmqWbMmPvzwQwDAzp078fjxY4OcJ++2NQCMGDEC3t7eBjmPOXJ3d8fMmTMBFLytpm8vX77E3LlzAeT+fXdwcDDIecxRmzZt0LBhQwDA33//jX///ZdzIjNS1mad6dOnC7ciivu6cuUKmzt3LqtVq1ahx7/55pts3rx5RR77n3/+YV5eXgUWD3vdbaPs7GyWmpoqfD179oxuGzHGnJ2dhTk1rHFI6Ovk5OSw+vXrMwDsm2++Mcg5PvnkEwaANW/enPuMpqZIqVQKM902btzYIOfIm1PDFGb2NUVqtVqY8Xn06NEGOUdISAgDwFq1amXR63iVV0pKivDeWalSJd5xuDLoaKP4+Hh2+/btEr+USiXbuHEjUygUhR6vUCjYpk2bijz20qVLmUgkYhKJRPjKewP29/cvVT7q88LYrFmzhIth/PjxvOOYrL/++osBYBKJhN26dUuvx758+bLwGoSHh+v12JYkb9I0AOzgwYN6PfaWLVuEY2/YsEGvx7Ykx48fZwCYVCplUVFRej3233//LbwGly9f1uuxLcmQIUOE/6eff/6ZdxxuTGKodF6H3b///lvYdunSpRI77CYkJLAbN24U+PL19WUTJkx4bSffPNZevGg0GqHoc3Bw4B3H5OXNtxAcHKy3T4U6nY61bt3aJFezNkV5qzu7u7vrrYVKq9UK68iY2mrWpqhnz54MAOvatavejqnValmLFi0YABYSEqK341oqmUwmzENlrUyieGEsdzrwRo0asfDwcBYeHs4aNmzIevToUWCf2rVrs/379xd7DBptVDZ5U7ADYIcPH+Ydx+Tdv39f+KOhr/+v7du3MwDM3t6ePX/+XC/HtGR5LWAA2PTp0/VyzLyRNHm3sUnJ7t27x2xsbBgAdvToUb0c89dff2UAmKOjI3v58qVejmnJNmzYIPzOWuuHHpMpXhITE9nAgQOZk5MTc3JyYgMHDiw0SR0Atnnz5mKPQcVL6T19+lT45adPm6U3YcIEBoC9+eabFe4flJGRwSpXrswAsDlz5ugpoeVr3rw5A8BsbGwqvHzFq1evhFlcO3furKeElu+7775jAFitWrUqfB2kp6czX19fBqDYPo6kMC8vL+FveEpKCu84RmcyxQsP1ly8VKtWTfjFp0/8pZeWlibculi4cGGFjjVt2jQGgFWrVo3mbSiDZ8+eCQXHf1tnyyowMFDow1GWGb2tXWpqKqtUqZJelk+YOnWq8CHK0PP4WJIbN24If8MbNGjAO47RUfFihcXL/v37hV/6d999l3ccs7N582YGgDk5ObHY2NhyHePJkyfMzs6OAWB79uzRc0LLN3ToUOF3+MaNG+U6xvnz54VjjBs3Ts8JLV/erQtnZ2f26tWrch3j8ePHwiiykroEkKK1bNlS+B2+cOEC7zhGRcWLFRYv9vb2wsgZa1yptaK0Wi1r1qwZA8CGDRtWrmP07duXAWBBQUE0JLQccnJyhN/j2rVrl+sYebfsXFxcaHh6OWg0Gta0aVMGlH8R148++ogBYB06dKDroByysrKYSCQSfo+tiUnMsEuMZ+zYscjKygIAzJ07FxKJhHMi8yMWi7F8+XIAuWtAXb16tUyPP3/+PHbv3g2xWIxly5ZBJBIZIqZFk0qlWLRoEQDg7t272LFjR5kev2LFCjx//hwAsG7dOojF9OetrCQSiXAdbNiwAdeuXSvT48+ePYu9e/fSdVABcrlcWOsoJSXF6teBKpYRiimjsraWF5VKZbVVuiEMGDCAAWDvvPNOqT81ajQa1qRJEwaAff755wZOaPn8/f2FWxelbT1RqVRMLpczAKxevXoGTmj5Pv74YwaAtW3btkzXwVtvvcUAsC+//NLACS1f3u+zVCq1mtZ0anmxIh06dABjDABw5MgRzmnM34IFC2Bvb48LFy5g9+7dpXrM5s2bERkZCYVCISwHQMpv165dAIC0tDR8++23pXrM8OHDoVQqIRKJsHfvXkPGswoLFiyAXC7HuXPnSv3/uXHjRly/fh2urq7C8huk/H799VcAgEajwQcffMA5jQkyfC1lXNbU8pI3ESAAVr9+fd5xLEbeDMVVqlRhmZmZJe6bkpLCPD09GQC2ZMkSIyW0fO3atRP6cMXHx5e475MnT4TWx969exspoeXLWwqmatWqrx05l5yczDw8PBgAtnz5ciMltHxVq1a1qhGk1GHXSoqXvOG9AFhiYiLvOBYjKytL+KMxY8aMEvf99ttvhQ6mtIaU/sTHxwszRbdv377EfQMCAoSZSV9XbJLSy8zMFDpAz5o1q8R9x4wZwwCwunXrMrVabaSElu/Ro0fC3/gaNWrwjmNwVLxYQfGSN7QXABswYADvOBZn165dDACTy+UsOjq6yH3u3r0rzEoaGhpq5ISW75tvvhF+xy9dulTkPqGhocI+s2fPNnJCy7djxw5htuhnz54Vuc/t27eZVCplANixY8eMnNDyderUSfgd19fsx6aKihcrKF7y5lGw5nUwDEmn0wmTnfXv37/IfXr06MEAsO7duxs5nXXQarXC6ujFLcyaN6mata/Gayg6nY61adOGAWADBw4scp/u3bszAKxnz55GTmcdNBqNMIGjo6Mj7zgGRR12Ldynn34KlUoFAPjpp584p7FMIpEIy5cvh0gkwo4dO3DhwoUCPz927BiOHDkCqVSKJUuWcEpp2cRiMVavXg0AePr0KdasWVPg57NmzUJcXBwA4JdffjF6PmuQ/zrYtm0bwsLCCvw8NDQUoaGhsLGxweLFizmltGwSiQTTpk0DAGRkZGDSpEmcE5kIIxRTRmXpLS8pKSlC50RPT0/ecSze8OHDGQDWtGlTYdiuWq1mderUYQDYmDFjOCe0fLVq1RJuXeTk5DDGcvtj5C2oGRAQwDmh5fv0008ZANasWTPhOlCpVKx27do0m7GRODk5MQBMLBZbbP86anmxYEFBQcLQ6D///JNzGss3Z84cODs74+rVq9iyZQsAYPXq1bhz5w48PDyET0TEcPbt2wcAyMrKwmeffQYAGDhwINRqNUQikfBzYjhz586Fk5MT/vnnH6GVa9WqVbh79y4qVaqEqVOnck5o+fJ+z3U6HYKDgzmnMQGGr6WMy1JbXg4fPsw++OADoePW22+/zTuS1Vi0aBEDwFxdXdnkyZOFT0Dr1q3jHc1qvPvuu8LvfqtWrYTvBw8ezDua1fjxxx8ZAObm5sYmT57MHB0dGQC2YcMG3tGsRl4rJP7/QI3Dhw/zjqRXZXn/FjH2/z/GW4i0tDQoFAqkpqbC2dmZdxy9aNOmTaF7zVlZWZDL5ZwSWRe1Wg0PDw+kp6cL21xdXREfH09LMRhJRkYGnJycCmwTiUTIzs6GTCbjlMq6qFQqeHp6FrgO3NzcEBcXR9eBkcTHx6NSpUoFtrVu3RoXL17klEi/yvL+LTVSJlJOR44cKVS4AIC3tzf90TaSnJycAn+wASA5ORkeHh6QSukSMobs7OxC2xhjcHNzoyLeSIq6DpKSkug6MCK1Wl1oW1hYGI4cOYIePXpwSMQP/caZuNDQ0CK3p6WlGTkJ+a+UlBTeEaxeZmYmMjMzecewanQd8Hfs2DEqXohp6d69e6EhogDoE6cRqdVqxMfHF9ru6elJrV9GkpmZWeSbpIuLCxwcHIwfyArRdcCfUqlEUlJSoe1du3blkIYzQ3fAMTZL7LDbunVroZMWANa6dWvekaxOSEhIgdcgJCSEdySrU6NGjQKvgTVMl25q6Drgz5LfD6jDroV12AVy+74cO3YMXbt2tbrmQVNx5coVXLx4EW3atMHbb7/NO45V2rJlCw4ePIhevXph6NChvONYJboO+LPU94OyvH9T8UIIIYQQ7sry/k2T1BFCCCHErFDxQgghhBCzQsULIYQQQswKFS+EEEIIMStUvBBCCCHErFDxQgghhBCzQsULIYQQQswKFS+EEEIIMStUvBBCCCHErFDxQgghhBCzQsULIYQQQsyKlHcAfctbqiktLY1zEkIIIYSUVt77dmmWXLS44iU9PR0AUKVKFc5JCCGEEFJW6enpUCgUJe5jcatK63Q6vHz5Ek5OThCJRHo/flpaGqpUqYJnz55Z5KrV9PzMGz0/80bPz7zR86sYxhjS09Ph6+sLsbjkXi0W1/IiFotRuXJlg5/H2dnZIn8589DzM2/0/MwbPT/zRs+v/F7X4pKHOuwSQgghxKxQ8UIIIYQQs0LFSxnZ2tpi+vTpsLW15R3FIOj5mTd6fuaNnp95o+dnPBbXYZcQQgghlo1aXgghhBBiVqh4IYQQQohZoeKFEEIIIWaFihdCCCGEmBUqXoowd+5ctG7dGvb29nBxcSnVYxhjmDFjBnx9fSGXy9GuXTvcunWrwD4qlQpff/01PDw84ODggPfeew/Pnz83wDMoWXJyMgYPHgyFQgGFQoHBgwcjJSWlxMeIRKIivxYuXCjs065du0I///jjjw38bAorz/MbOnRooewtW7YssI+5vn45OTmYMGECGjZsCAcHB/j6+mLIkCF4+fJlgf14vX6rV69G9erVYWdnh4CAAJw/f77E/c+ePYuAgADY2dnhjTfewNq1awvts2/fPtSrVw+2traoV68eDhw4YKj4r1WW57d//3507twZnp6ecHZ2RqtWrXD8+PEC+2zZsqXIazE7O9vQT6VIZXl+Z86cKTL7nTt3Cuxnrq9fUX9HRCIR6tevL+xjSq/fuXPn0LNnT/j6+kIkEuH3339/7WNM5vpjpJBp06axJUuWsLFjxzKFQlGqx8yfP585OTmxffv2sRs3brB+/foxHx8flpaWJuwzcuRI5ufnx06cOMGuXr3K2rdvz9566y2m0WgM9EyK1rVrV9agQQMWFhbGwsLCWIMGDViPHj1KfExMTEyBr02bNjGRSMQePnwo7BMUFMRGjBhRYL+UlBRDP51CyvP8QkJCWNeuXQtkT0xMLLCPub5+KSkprFOnTmzXrl3szp07LDw8nLVo0YIFBAQU2I/H67dz505mY2PD1q9fz6KiotioUaOYg4MDe/r0aZH7P3r0iNnb27NRo0axqKgotn79emZjY8P27t0r7BMWFsYkEgn74Ycf2O3bt9kPP/zApFIpu3TpkkGfS1HK+vxGjRrFFixYwC5fvszu3bvHJk2axGxsbNjVq1eFfTZv3sycnZ0LXZM8lPX5nT59mgFgd+/eLZA9/zVkzq9fSkpKgef17Nkz5ubmxqZPny7sY0qvX2hoKJsyZQrbt28fA8AOHDhQ4v6mdP1R8VKCzZs3l6p40el0zNvbm82fP1/Ylp2dzRQKBVu7di1jLPeX2sbGhu3cuVPY58WLF0wsFrNjx47pPXtxoqKiGIACv0jh4eEMALtz506pj9OrVy/WoUOHAtuCgoLYqFGj9BW1XMr7/EJCQlivXr2K/bmlvX6XL19mAAr8Eebx+jVv3pyNHDmywLY6deqwiRMnFrn/+PHjWZ06dQps+/zzz1nLli2Ff/ft25d17dq1wD5dunRhH3/8sZ5Sl15Zn19R6tWrx2bOnCn8u7R/l4yhrM8vr3hJTk4u9piW9PodOHCAiUQi9uTJE2GbKb1++ZWmeDGl649uG+nB48ePERsbi+DgYGGbra0tgoKCEBYWBgCIiIhATk5OgX18fX3RoEEDYR9jCA8Ph0KhQIsWLYRtLVu2hEKhKHWOV69e4ejRoxg2bFihn23btg0eHh6oX78+xo0bJ6zybSwVeX5nzpxBpUqVUKtWLYwYMQJxcXHCzyzp9QOA1NRUiESiQrdFjfn6qdVqREREFPg/BYDg4OBin0t4eHih/bt06YJ//vkHOTk5Je5jzNcJKN/z+y+dTof09HS4ubkV2J6RkQF/f39UrlwZPXr0QGRkpN5yl1ZFnl+TJk3g4+ODjh074vTp0wV+Zkmv38aNG9GpUyf4+/sX2G4Kr195mNL1Z3ELM/IQGxsLAPDy8iqw3cvLC0+fPhX2kclkcHV1LbRP3uONITY2FpUqVSq0vVKlSqXOsXXrVjg5OeGDDz4osH3gwIGoXr06vL29cfPmTUyaNAnXr1/HiRMn9JK9NMr7/Lp164Y+ffrA398fjx8/xvfff48OHTogIiICtra2FvX6ZWdnY+LEiRgwYECBxdWM/folJCRAq9UWed0U91xiY2OL3F+j0SAhIQE+Pj7F7mPM1wko3/P7r8WLFyMzMxN9+/YVttWpUwdbtmxBw4YNkZaWhuXLl6NNmza4fv06atasqdfnUJLyPD8fHx/8/PPPCAgIgEqlwq+//oqOHTvizJkzaNu2LYDiX2Nze/1iYmLwxx9/YPv27QW2m8rrVx6mdP1ZTfEyY8YMzJw5s8R9rly5gmbNmpX7HCKRqMC/GWOFtv1XafYpjdI+P6BwzrLm2LRpEwYOHAg7O7sC20eMGCF836BBA9SsWRPNmjXD1atX0bRp01IduziGfn79+vUTvm/QoAGaNWsGf39/HD16tFCRVpbjlpaxXr+cnBx8/PHH0Ol0WL16dYGfGfL1K0lZr5ui9v/v9vJci4ZS3iw7duzAjBkzcPDgwQIFa8uWLQt0Jm/Tpg2aNm2KFStW4KefftJf8FIqy/OrXbs2ateuLfy7VatWePbsGRYtWiQUL2U9pqGVN8uWLVvg4uKC3r17F9huaq9fWZnK9Wc1xctXX3312pET1apVK9exvb29AeRWpT4+PsL2uLg4oQL19vaGWq1GcnJygU/vcXFxaN26dbnOm19pn9+///6LV69eFfpZfHx8oWq5KOfPn8fdu3exa9eu1+7btGlT2NjY4P79+xV+8zPW88vj4+MDf39/3L9/H4BlvH45OTno27cvHj9+jFOnTr12SXt9vn5F8fDwgEQiKfSJLP9181/e3t5F7i+VSuHu7l7iPmV5/fWhPM8vz65duzBs2DDs2bMHnTp1KnFfsViMt99+W/hdNZaKPL/8WrZsid9++034tyW8fowxbNq0CYMHD4ZMJitxX16vX3mY1PWn1x40FqasHXYXLFggbFOpVEV22N21a5ewz8uXL7l1+Pz777+FbZcuXSp1h8+QkJBCo1SKc+PGDQaAnT17ttx5y6qizy9PQkICs7W1ZVu3bmWMmf/rp1arWe/evVn9+vVZXFxcqc5ljNevefPm7IsvviiwrW7duiV22K1bt26BbSNHjizUYbBbt24F9unatSu3Dp9leX6MMbZ9+3ZmZ2f32s6TeXQ6HWvWrBn75JNPKhK1XMrz/P7rww8/ZO3btxf+be6vH2P/1zH5xo0brz0Hz9cvP5Syw66pXH9UvBTh6dOnLDIyks2cOZM5OjqyyMhIFhkZydLT04V9ateuzfbv3y/8e/78+UyhULD9+/ezGzdusP79+xc5VLpy5crsr7/+YlevXmUdOnTgNtS2UaNGLDw8nIWHh7OGDRsWGmr73+fHGGOpqanM3t6erVmzptAxHzx4wGbOnMmuXLnCHj9+zI4ePcrq1KnDmjRpYvLPLz09nX377bcsLCyMPX78mJ0+fZq1atWK+fn5WcTrl5OTw9577z1WuXJldu3atQLDM1UqFWOM3+uXNxR148aNLCoqio0ePZo5ODgIozMmTpzIBg8eLOyfN1RzzJgxLCoqim3cuLHQUM2LFy8yiUTC5s+fz27fvs3mz5/PfahtaZ/f9u3bmVQqZatWrSp2yPqMGTPYsWPH2MOHD1lkZCT75JNPmFQqLVDQmurzW7p0KTtw4AC7d+8eu3nzJps4cSIDwPbt2yfsY86vX55BgwaxFi1aFHlMU3r90tPThfc3AGzJkiUsMjJSGIVoytcfFS9FCAkJYQAKfZ0+fVrYBwDbvHmz8G+dTsemT5/OvL29ma2tLWvbtm2hqlupVLKvvvqKubm5Mblcznr06MGio6ON9Kz+T2JiIhs4cCBzcnJiTk5ObODAgYWGLv73+THG2Lp165hcLi9y7o/o6GjWtm1b5ubmxmQyGatRowb75ptvCs2VYgxlfX5ZWVksODiYeXp6MhsbG1a1alUWEhJS6LUx19fv8ePHRf4+5/+d5vn6rVq1ivn7+zOZTMaaNm1aoKUnJCSEBQUFFdj/zJkzrEmTJkwmk7Fq1aoVWUzv2bOH1a5dm9nY2LA6deoUeHM0trI8v6CgoCJfp5CQEGGf0aNHs6pVqzKZTMY8PT1ZcHAwCwsLM+IzKqgsz2/BggWsRo0azM7Ojrm6urJ33nmHHT16tNAxzfX1Yyy3lVYul7Off/65yOOZ0uuX10JU3O+bKV9/Isb+f28bQgghhBAzQPO8EEIIIcSsUPFCCCGEELNCxQshhBBCzAoVL4QQQggxK1S8EEIIIcSsUPFCCCGEELNCxQshhBBCzAoVL4QQQggxK1S8EEIIIcSsUPFCCCGEELNCxQshhBBCzAoVL4QQQggxK/8PJTE4zPCUcg8AAAAASUVORK5CYII=", "text/plain": [ "Figure(PyObject
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NCyHEbDdv3kTdunUBAD4+PkhNTTVru4SEBISFhSE7OxsbN27E6NGjxQyzWCtXrsTkyZPh5+eH27dvw8fHx6zt3Nzc8Pz5cwCG4/n34JuEkLKhmhdCiChatmzJX58+fdrs7YKDg7FgwQIAwJw5c5CdnS14bOZISUnBokWLABhqU8wtuADAn3/+yV83adJE6NAIIRagwgshxCxff/01MjIyABgeHdWuXdui7adOnYpatWohPj6+0ElZrWHRokVIS0tDo0aNMHHiRIu2bd26NWrWrAnAUPOyZ88eMUIkhJiBHhsRQsyiUCig0+kAGNqNKBSWz+v6yy+/oH///nBycsK1a9d4YcAaYmNj0aRJE+j1evz999/o2LGjxWlkZ2fDw8MDgGEQTtNJYQkhZUOPjQghgho0aBAvuEyePLlUBRcA6Nu3L7p06QKVSoWZM2cKGWKxGGOYOnUq9Ho9BgwYUKqCC2CYAmHgwIEADNOfGOdEIoRYF9W8EEKKJXRtw5UrV9C4cWPo9Xr89ddf6NSpkxBhFuvnn3/Giy++CCcnJ1y/fh01atQoU3pC1EIRQvKjmhdCiGBMG6fu2LGjzOlFRETgtddeA2BoB1PSODFlpVKp+CzRM2bMKHPBBQBWrVrFX9vCuDWEVDRUeCGEFOmff/7B3bt3ARh6DPXu3VuQdJcsWQIfHx/Exsbi22+/FSTNoqxYsQL37t1DSEgIn4SxrF599VV4eXkBAM6dO4c7d+4Iki4hxDxUeCGEFMn0kc6FCxcES9fPzw/vvPMOAGDBggVIS0sTLG1T8fHxfIC5Dz74AO7u7oKlffLkSf7atAs5IUR8VHghhBRq+fLlfFC2Dh06IDg4WND0J02ahAYNGiAlJQVLliwRNG2jefPmITs7Gy1btsSIESMETbtevXpo2LAhACA1NRXfffedoOkTQopGDXYJIYWyxnw+Bw4cQLdu3eDg4IDLly+jfv36gqV95swZtGjRAgBw6tQpUWpHLJ3niRBSNGqwSwgpk65du8J4X2MckVas/fTt2xc6nQ7Tp0+HUPdSjDHejXnUqFGiPdZRKBR45ZVXAAA6nU7SaQ8IqUio5oUQkk9ycjICAgIAAC4uLvzRkVju3LmD+vXrQ6PRYM+ePXjhhRfKnObmzZsxYsQIuLm54ebNm6hUqZIAkRZNqVRCo9EAAHJzc+Hs7Czq/ggpj6jmhRBSao0bN+av9+/fL/r+ateuzWd5njZtGtRqdZnSy8nJwaxZswAY2ryIXXABDIUlI5r3iBDxUeGFEMLt27cPT58+BQBUr14dbdu2tcp+58+fj6CgINy+fRsrV64sU1offPABnjx5gurVq2P69OkCRVi8gQMHwt/fH4Bh5u3z589bZb+EVFT02IgQwjk7O/MRdLOysgTtWlySdevWYfz48fD09MStW7cQFBRkcRoPHjxAvXr1kJeXh59++gkDBgwQIdLCPX78GFWqVAFgmEYgKyvLavsmpDygx0aEEIvNnDmTF1z69+9v1YILAIwdOxZRUVHIzMzEggULSpXGrFmzkJeXhw4dOuCll14SOMLiVa5cGW3atAFgmFJhxYoVVt0/IRUJ1bwQQqDVaqFUKsEYg1wu5/P2WNvx48fRtm1byGQynDt3Dk2bNjV72yNHjiAmJgZyuRznz5/P13bHWmzlcyTEHlHNCyHEIm3btuXdlD///HPJ4oiOjsawYcN4V2dz7610Oh3vGv3KK69IUnABDF2njY2F9Xo9+vTpI0kchJR3VPNCSAX34MEDPlmhh4cHMjMzJY0nLi4O4eHhyM3NxbZt2zB48OASt/nmm2/wyiuvwNvbG7du3eJdvaXi4uKCvLw8AEBaWhq8vb0ljYcQe0A1L4QQszVr1oy/PnbsmISRGFSpUgWzZ88GYGiHU9I4M+np6Zg/fz4Aw4B6UhdcAGDPnj38tVS1QISUZ1R4IaQC27x5M1JSUgAA9evXR6NGjSSOyGDmzJmoUqUKHj16hI8//rjYdd99910kJSWhbt26+M9//mOlCIvXuXNnVK5cGQDw6NEjHD58WOKICClf6LERIRWYo6Mjn4/H1kaG3bZtG4YOHQoXFxfcvHmTd0M2dfPmTURERECr1eL3339Hjx49JIi0cOnp6fDx8QFg6IKem5srcUSE2DZ6bEQIKdGECRN4wWXcuHE2VXABgMGDB6Nt27bIzc3FnDlzCl1nxowZ0Gq1eOGFF2yq4AIA3t7e6NmzJwAgLy+PP9oihJQd1bwQUgFpNBoolUoAhh4yxnl5bM358+fRrFkzMMZw7NgxREdH8/d+//139OrVCwqFAlevXkWdOnUkjLRoDg4O0Ov1kMlkUKvVUCgUUodEiE2imhdCSLFM59/ZuHGjdIGUIDIyEi+//DIAYMqUKdDr9QAMhS/jfEiTJ0+22YILACxfvhyAYabrTp06SRwNIeUD1bwQUsFcuXIFDRs2BAD4+vryBru26tmzZwgLC0NWVhbWrVuHcePGYcWKFZg2bRoCAgJw69Ytm++K7O7ujpycHABAfHw8goODJY6IENtDNS+EkEItXLgwX4+ic+fOSRiNeYKCgrBw4UIAhjYu8+fPx9tvvw0AWLp0qc0XXADk621Uo0YNRERE8GMihFiOal4IqSA8PDyQnZ3N/5fJZPwxjK1Tq9Xw9/fPN9mhj48PkpKS4ODgIGFk5qtTpw5u376dbxlN4EjI/1hy/aaWY4RUAAsXLsxXcAEMbTACAwNRqVIliaIyX05OToGLfFpaGurVqwc3NzeJorJMenp6gWXZ2dlYuHAh3nnnHesHRIgdo5oXQiqAiIgIXL16VeowSCEiIiIQGxsrdRiESI5qXggh+bzwwguFFl4qVaqEatWqSRCRZbKysgq9wDds2BAeHh4SRGS5+/fvIz4+vsDyF198UYJoCLFzzApWrVrFqlevzpycnFhkZCQ7cuRIsevn5eWxefPmsapVqzKlUslq1qzJ1q5da9a+MjIyGACWkZEhROiElAvVq1dnAPL9KRQKqcOyyJgxY/LFP2bMGKlDssjw4cML5IFMJpM6LEJshiXXb9FrXrZt24apU6di9erViI6Oxpo1a9CzZ09cu3YNVatWLXSbwYMH49mzZ1i7di1q166NxMREPhIoIcQyx44dw4MHDwAAbm5uYIzh+fPnYIwhOTkZ/v7+0gZopg0bNuA///kPjh8/jujoaDRv3lzqkMz28OFDbNmyBQBQt25d3Lx5E4wxMMZw8+ZNhIeHSxwhIfZF9DYvLVu2RGRkJL788ku+rF69eujfvz+WLVtWYP19+/Zh6NChuHfvHnx9fS3eH7V5ISQ/V1dXPq9OUlIS5HI5AgMDodPp0KFDBxw8eFDiCMu/qKgonD9/HkqlEmlpaXj8+DEvsHh7eyMtLU3iCAmRns2M86JWq3Hu3Dl069Yt3/Ju3brhxIkThW7z66+/olmzZvjwww9RqVIl1KlTB2+99VaRk5qpVCpkZmbm+yOEGLz77rv83OnSpQv8/f3h6+uLyZMnAwAOHTqEkydPShliubd3716cP38egKHXl6urK+rUqYOmTZsCMPRCWrt2rZQhEmJ3RK15efr0KSpVqoTjx4+jTZs2fPn777+PjRs34ubNmwW26dGjBw4dOoQuXbpg4cKFSE5Oxuuvv45OnTph3bp1BdZfvHgxlixZUmA51bwQAsjlcjDGCozpotfr4evri4yMDFStWhUPHz6UMMryLTAwEElJSQgKCkJCQgJfrtVq4ejoCMAw/xE9GicVnc3UvBjJZLJ8/xt/TAtjnMBs06ZNaNGiBXr16oVPP/0UGzZsKLT2Ze7cucjIyOB/cXFxohwDIfamQ4cOMN6bvPvuu/nek8vl+OqrrwAAjx49whdffGH1+CqCJUuWICkpCQDw/fff53tPoVDgjTfeAADodDoMHTrU6vERYq9ErXlRq9VwdXXF9u3b83UHnDJlCi5evJhvyGyjMWPG4Pjx47hz5w5fdv36ddSvXx+3bt1CWFhYsfukNi+EAImJiQgKCgJgaPNinFfn3+rVq4cbN27AxcUFmZmZNOOxgLKzs+Hr6wuNRoNmzZrhzJkzha6nVCr5rN65ublwdna2ZpiE2AybqXlRKpWIiorCgQMH8i0/cOBAvsdIpqKjo/H06dN8o4HeunULcrkclStXFjNcQsqNxo0b89d//vlnkev99NNPAAwXzYkTJ4oeV0UycuRIaDQayGQy7Nixo8j1tm7dyl+bzjtFCCmGOL21/2fr1q3M0dGRrV27ll27do1NnTqVubm5sQcPHjDGGJszZw4bNWoUXz8rK4tVrlyZDRw4kF29epUdPnyYhYWFsQkTJpi1PxrnhVR0u3fv5uOI1KxZs8T1+/bty8cciYuLs0KE5d+VK1csGo8mMDCQr3/69GnxAyTEBlly/bbK9ACrV6/Ghx9+iPj4eEREROCzzz5D+/btAQBjx47FgwcPcOjQIb7+jRs38Oabb+L48ePw8/PD4MGD8d5778HFxaXEfdFjI1LROTk5Qa1WAzCMTOvu7l7s+qaPN5o3b47Tp09bI8xyzfRxXHp6OpRKZbHrJyQkICQkBIBhLJ5/z0NFSEVg0fVb9KKUlVHNC6nIJk+ezO/gBw4caPZ2ixYt4tvt379fxAjLv61bt/LPctWqVWZv1759e77dsmXLRIyQENtkczUv1kQ1L6SiKkvXW/b/M0wnJycX6NJLzFeWLuharRZKpRKMMcjlcuh0OhEjJcT22EyDXUKI9bRq1Yq/trTrs0wmw/r16wEAz549K3T0a1KymTNnIiMjA0D+hrjmUCgUWLBgAQBDIahHjx6Cx0dIeUE1L4SUA3fu3OHDCHh6evILqKUiIyNx4cIFODk5ITU1Fa6urkKGWa6lpqbyaRdiYmLyteOzhIuLC/Ly8gAAaWlp8Pb2Fi5IQmwY1bwQUsG0bNmSvy5q6g1z7NixAzKZDCqVCqNHjxYitApj8ODB0Ol0cHBw4F3QS+OPP/7grxs2bChEaISUO1R4IcTOfffdd0hNTQVguNg1aNCg1GnVqFEDw4YNAwDs3Lmz0Ck8SEFnzpzBX3/9BQB4/fXXyzRTd/v27VG1alUAwOPHjwuMk0UIocdGhNg9hULBG3dqNJoyj5KrVqvh5eWFvLw8REREIDY2Vogwy7UaNWrgwYMH8PDwQHp6OuTyst0XZmRk8MdFTk5O/DESIeUZPTYipIIYPXo0L7hMnDhRkOH9lUolli5dCgC4cuVKsaPDEuDrr7/GgwcPABjGtCprwQUAvLy80Lt3bwCASqXC7Nmzy5wmIeUJ1bwQYqfy8vL4wI2Ojo58YDqhVK5cGU+ePIGPjw+Sk5MFuSiXN1qtFt7e3sjJyUFYWBhu3bolaPoODg58slq1Wk1zT5FyjWpeCKkAmjRpwl9v3rxZ8PSNaaalpWH+/PmCp18evPbaa3zSy7I00i3KJ598AsAwDk9MTIzg6RNir6jmhRA7dP78eURFRQEA/P39kZSUJMp+oqOjceLECSgUCiQlJVG3XRNPnz5FlSpVoNfr0atXL/z222+i7MfDw4NPFxAXF0cT1JJyi2peCCnnTO/CL1y4INp+duzYAblcDq1Wi6FDh4q2H3s0YMAA6PV6ODo6YsuWLaLt59ixY/x106ZNRdsPIfaECi+E2JkVK1bwO/E2bdqIeiceHByMiRMnAjCMP3Lx4kXR9mVPDh48iFOnTgEAZs2aJWotb+PGjREeHg4ASE5Oxvbt20XbFyH2gh4bEWJnrN2I07RRau3atXH79m1R92cPQkNDER8fD19fXyQlJYnemFnsxtmE2AJ6bERIOdWnTx/o9XoAhnl0rNH7RKFQ4L///S8AwzQEGzduFH2ftuyjjz5CfHw8AGDdunVW6YXl7OyMUaNGATCM5TNhwgTR90mILaOaF0LsRHp6Onx8fABIM3BZrVq1cO/ePbi7uyMjI6NCdp3Oy8uDt7c3VCoVGjVqhEuXLll1/46Ojny2cCEGJCTEllDNCyHlUOPGjfnrPXv2WH3/P/74IwAgOzsbb7zxhtX3bwvGjh0LlUoFmUyGnTt3Wn3/a9eu5a+p8S6pyKjmhRA7cPjwYXTo0AGAYfC4uLg4SeLo1q0bDhw4ALlcjvj4eAQGBkoShxTu3r2LsLAwMMYwePBgbNu2TZI4/Pz8+FxWV65cKdNcVoTYEkuu31R4IcQOuLi48MdEaWlpko23kp6ejoCAAGi1WrRr1w5HjhyRJA4pNGnSBJcuXYKTkxPS09Ph7OwsSRx37txBWFgYAMDT0xMZGRmSxEGI0OixESHlyPz583nBpWfPnpIOFOft7Y1p06YBAI4ePZpvDJLy7Ndff+XtW959913JCi4AULt2bTRr1gyA4cf+q6++kiwWQqRCNS+E2DCtVgulUgnGGORyOZ+EUUp6vR5+fn5IT0+X9BGWtej1egQEBCA1NRUhISF4+vSp1CFBq9XC0dERgKHrvLERLyH2jGpeCCknOnXqBOP9xfLlyyWOxkAul+Prr78GADx+/Jh3oy6vFi1axNuY/PDDDxJHY6BQKDBlyhQAgE6nw8CBAyWOiBDropoXQmxUQkICQkJCAABubm58VF1b0aBBA1y7dg3Ozs7IyMiAUqmUOiTBZWVlwc/PDxqNBq1atcLJkyelDikfJycnPmBdVlYW3N3dJY6IkNKjmhdCygHTrtGHDh2SLpAi/PTTT5DJZMjLyyu3g6YNGzYMGo0GcrkcO3bskDqcAkxjMv2+EFLeUeGFEBu0c+dOJCYmAgDCwsJ4A01bUq9ePfTv3x+A4XHKw4cPpQ1IYFeuXOEzRY8bNw6hoaESR1RQ7969ERwcDAC4d++ezdUMESIWemxEiA1SKpXQaDQAgNzcXEl7txTn+fPn8PHxgVqtRlRUFM6ePSt1SIIJDw/HrVu34OrqioyMDJsdzTY5ORkBAQEAAFdXV+Tk5EgcESGlQ4+NCLFjr7/+Oi+4DBs2zGYLLoDhYvn2228DAM6dO4fff/9d4oiEsWnTJty6dQsA8Nlnn9lswQUA/P390bFjRwCGwuR7770ncUSEiI9qXgixIb/88gt/FGNPXWCDgoKQmJgIT09PjBgxAr169ULv3r2lDqtUdu/ejQEDBkCj0aB69eq4f/++1CGZRS6X855pr732ml3nAamYqOaFEDsUHR3NCy4AUL16dclisdR3330HwPDj8+WXX6JPnz6Ijo6WOCrLRUdHo2/fvrzmy8PDQ+KIzLdkyRL+2p7zgBBz2G5dKCEVyJ49e3DixIl8y+7evYu+ffuiZs2aEkVlvnv37hVYduLECezZs8du7v4Ly4PY2FjKA0JsEBVeCLEBe/fuLXT57t27rRyJsPbt22c3F07KA0LsBxVeCLEBRTUIHTRoEJ+Ez5bdvn0b27dvL7C8R48eEkRTOjVq1Ch0OeUBIbaHGuwSYgMUCkWBeYsiIyNx7tw5iSKyzNWrVxEREZFvmYuLC54/fy5RRJarVq0aHj16lG+ZPeVBbGwsGjVqlG+ZTCaDXq+XKCJCLEMNdgmxI8OGDeMFl549e6JSpUoAiq4JsDWMMT7TdKtWrdC2bVsAhvFpfvzxRylDM9vq1at5wWXGjBl8QDp7aOsCFMwDY2NvxhhmzJghYWSEiINqXgiRUF5eHlxcXAAAjo6OUKvVuHLlCho3bgy9Xo+DBw+iQ4cO0gZZgt27d6Nv375QKpW4fv06atasiapVqyIuLg7e3t5ISUmBXG6790larRaenp7Izc1F3bp1cf36dVy+fBlNmzaFXq/HoUOHEBMTI3WYxTJ2sXdycsK1a9dQs2ZNXpsnk8mgVqtteqwaQgAbrHlZvXo1atSoAWdnZ0RFReHo0aNmbXf8+HEoFAo0adJE3AAJkYhpNf/WrVsBABEREXjttdcAAFOmTCnwOMmWqFQqTJ8+HYChxsJYU7FlyxYAQHp6OmbPni1ZfOaYOHEicnNzARjmawIM+fLqq68CsN88MM72zRijLtOk/GEi27p1K3N0dGTffPMNu3btGpsyZQpzc3NjDx8+LHa79PR0VrNmTdatWzfWuHFjs/eXkZHBALCMjIwyRk6IuE6fPs0AMAAsMDAw33vJycnMx8eHAWBfffWVRBGW7MMPP2QAWEhICMvMzMz3Xrt27RgAplAoWEpKikQRFi8uLo7JZDIGgPXp0yffe0lJSczb25sBYGvWrJEowpItX76c50FWVla+9zw9Pfl37P79+9IESIiZLLl+i154adGiBZs0aVK+ZXXr1mVz5swpdrshQ4awBQsWsEWLFlHhhZRLbm5u/MISHx9f4P3PP/+cAWB+fn4sNTVVggiLFx8fzzw8PBgAtmHDhgLvP3v2jMnlcgaAdenSRYIIS9a8eXMGgDk6Oha48DPG2IoVKxgA5u/vz9LS0qwfYAmePn3K3N3dGQC2cePGAu9fuXKFf8d8fX0liJAQ81ly/Rb1sZFarca5c+fQrVu3fMu7detWYDAoU+vXr8fdu3exaNGiEvehUqmQmZmZ748QW/fRRx/xCfTatWvHZwY2NWnSJNSvXx8pKSl45513rB1iiebPn4+srCw0b94co0aNKvB+YGAgJk2aBAD4888/bW7SxgMHDuDMmTMAgHnz5sHd3b3AOq+//jrq1q2L5ORkm8yDefPmITs7Gy1atMDIkSMLvN+gQQM0aNAAAJCamorNmzdbO0RCxCFmKerJkycMADt+/Hi+5UuXLmV16tQpdJtbt26xwMBAdvPmTcYYK7HmZdGiRfzOwvSPal6ILTPWSMhkMqbRaIpcb//+/fzRy/Xr160YYfHOnj3LH7ecOHGiyPV0Oh2vnalZs6YVIyxZcHAwr1XR6XRFrrdv3z6eBzdu3LBihMUzfex48uTJItfTaDR8PYVCYcUICbGMzdS8GMlksn8XmAosAwCdTofhw4djyZIlqFOnjllpz507FxkZGfwvLi5OkJgJEUuPHj342BsLFiwothdI165d0bdvX2i1Wt4oU2qMMUyZMgWMMYwcORKtW7cucl25XI4vvvgCgGH4+m+//dZaYRZr2bJlSEhIAGCo6S2uN1T37t3Ru3dvm8wDABg1ahRatWpV5LoKhQLjx48HYOhZNW7cOKvESIioxCxFqVQq5uDgwHbu3Jlv+eTJk1n79u0LrJ+WlsYAMAcHB/5nvLtzcHBgf/31V4n7pDYvxJYZv+MAmLOzs1nb3L59mzk6OjIA7LfffhM5wpJt2bKFAWCurq7s8ePHZm0TFhbGADA3N7dia5qsIScnhzk5OTEArGnTpmZtc/PmTZvKg02bNvHP09w8UCgU/LuXm5srcoSEWM5mal6USiWioqJw4MCBfMsPHDiANm3aFFjf09MTsbGxuHjxIv+bNGkSwsPDcfHiRbRs2VLMcAkRnekotH/88YdZ29SuXRtTp04FAEybNg1qtVqM0Mzy/PlzzJw5E4Ch1tM4oF5JjF2Qc3Jy8Prrr4sWnzlGjx4NlUoFmUyGHTt2mLVNnTp1MHnyZADA9OnTJc2DnJwczJo1C4BlefD999/z15GRkaLERojViF2SMnaVXrt2Lbt27RqbOnUqc3NzYw8ePGCMMTZnzhw2atSoIren3kakvDC2XwHAqlatatG2GRkZLDAwkAFgn3zyiUgRlszYxqxatWrs+fPnFm3bo0cPBoDJ5fJCe1dZw61bt3ht7rBhwyzaNj09nQUEBDAA7NNPPxUpwpK9/fbbDACrXr26xXng5+fHv4OXLl0SKUJCSsemukozxtiqVatYtWrVmFKpZJGRkezw4cP8vTFjxrCYmJgit6XCCykvnJ2d+YWjNN1u165dywAwLy8v9uzZM+EDLMHDhw+Zi4sLA8C2b99u8fYZGRn80UWbNm1EiLBkDRs25I/sVCqVxdt/8803PA8SExNFiLB4Dx484N+jn376yeLt79+/z7+DHh4eIkRISOnZXOHFmqjwQmzRrFmz+EWjd+/epUpDp9OxqKgoBoC98sorAkdYsqFDhzIALCYmhun1+lKlMXfuXP45HDx4UNgAS/DTTz/xfZe29kqr1bKmTZsyAOzVV18VOMKSDR48mAFgHTp0KHUetGrVin8On3/+ucARElJ6lly/aW4jQkSm1WqhVCrBGINcLi/TUPPHjx9H27ZtIZPJcP78eatNnXH06FG0b98ecrkc586dK/V+9Xo9AgICkJqaitDQUDx58kTYQIvZr7+/P9LS0lCpUiU8fvy41GkZPwtr58GRI0cQExMDuVyO8+fPo3HjxqVKR8jvIyFCsrm5jQipyNq3bw/jPcInn3xSprSio6MxdOjQfN2VxabT6Xi33AkTJpTpYi2Xy3l36adPn5b58zDX/PnzkZaWBgBlHqitXbt2GDx4MBhjmDp1qtXzYOLEiaUuuACGrtPGmab1ej369+8vRIiEWJd4FUDSoMdGxJbExcXxKnp3d3dB0jRte/Ljjz8KkmZxvv32W8HbeZi2PRG7264YbW1M256Upv2Ppb7++mvB88DYXRxAoVMjEGJtNtNVmpCKrmnTpvz14cOHBUmzatWqfKbmmTNn8hmRxZCZmYl58+YBABYtWoSAgABB0t2xYwdkMhny8vLw8ssvC5JmUYYMGQKtVgu5XG521+iSVKtWjXdXFjsPMjIyMH/+fADA4sWLBcuD3bt389emXfgJsQtWKExZFdW8EFuxfft2fmcbHh4uaNo5OTmsSpUqDAB79913BU3b1MyZM3n8pemdU5yBAwfyKRLu3bsnaNpGFy5c4HkgdAPb7OxsVrlyZQaAvffee4KmbWrGjBkMAKtbty5Tq9WCph0aGso/nyNHjgiaNiGWoga71GCX2AClUgmNRgMAyM3NhbOzs6Dpb9u2DUOHDoWrqytu3ryJypUrC5r+7du30aBBA2g0Guzduxc9e/YUNP28vDx4e3tDpVKhSZMmuHDhgqDpA0BYWBju3LkDNzc3pKenFzsVQ2ls2bIFw4cPh6urK27dumX2gHHmunnzJiIiIqDVavH777+jR48egqafnJzMa3JcXFzw/PlzQdMnxBLUYJcQiU2YMIEXXEaNGiV4wQUABg8ejLZt2+L58+eYM2eO4OnPmDEDGo0GPXv2FLzgAgDOzs5YvHgxAODixYv49ddfBU1/48aNuHPnDgDgv//9r+AFFwAYOnQo2rRpI2oeaLVa9OrVS/CCCwD4+/uja9euAAwF7EWLFgm+D0LEQDUvhAhMq9XC0dERAODg4ACtVivavs6dO4fmzZuDMYYTJ04UO0miJfbv34/u3btDoVAgNjYWdevWFSTdwoSEhCAhIQF+fn5ITEwsdpJEc+n1enh5eSE7Oxs1a9bE3bt3BYi0cGfPnkXz5s0BACdPnix2kkRL7Nu3Dz179oRCocCVK1cQHh4uSLqFkcvlfMJc46ShhFgb1bwQIiHTeWPWrVsn6r6ioqJ4g9cpU6YIcuHRaDSYNm0aAODNN98UteACAD/88AMAICUlBe+8844gab755pvIzs4GYHi8JqZmzZrxmZrFyIPJkyeLWnABgPfffx+AYbbqDh06iLovQgQhZuMbKVCDXSKlK1eu8AaQvr6+VtlnQkIC8/DwYADYhg0bypze559/zgAwf3//Uk1jUBotWrRgAJijo2OZu+0+e/aMyeVyBoB17dpVoAiLFx8fz9zd3RkAtnHjxjKnt2LFCgaABQQEWC0P3Nzc+HdXqrmnSMVG0wNQ4YVIxNPTk18Abt++bbX9fvTRRwwACw4OZpmZmaVOJykpiXl7ezMAbM2aNQJGWLy4uDhe4Cjt9AlG7dq1YwCYQqGw2oWfMcY++OADBoCFhISUKQ8SExOZl5cXA8C+/vprASMs3unTp/l3NygoyGr7JcSICi9UeCES+PLLL/mPf1RUlFX3rVKpWO3atRkANmfOnFKn8/rrrzMArHHjxkyr1QoYYcnGjh3LP7/Y2NhSpXH06FGexltvvSVwhMXLy8tjtWrVYgDY3LlzS53OpEmTJMsDY/wA2M8//2zVfRNCXaWpwS6RgEKh4PPEaDQaUXq3FGf37t3o27cvlEolrl27hlq1alm0fWxsLJo0aQK9Xo+DBw9ave2DVquFl5cXnj9/jvDwcNy4ccPiNKpUqYLHjx/D29sbKSkpgjT+tcQvv/yC/v37Q6lU4vr166hZs6ZF21++fBlNmzaFXq/HoUOHEBMTI1KkhcvOzoaHhwcAwNHREWq12qr7JxUbNdglxMoGDRrECy6TJ0+2esEFAHr37o1u3bpBrVZj5syZFm3L/n+eHr1ej4EDB0rSaFOhUODjjz8GYBjfZMuWLRZtv3LlSj7h4po1a6xecAGAvn37okuXLmXOg0GDBlm94AIA7u7uGDx4MABDAdw4nxIhtoZqXggpI9O7VaVSCZVKJVks165dQ6NGjaDT6fDnn3+ic+fOZm33888/48UXX4STkxNu3LiB6tWrixtoMapXr46HDx/C09MTaWlpZhVC1Go1vL29kZubi/r16+Pq1atWiLRwV65cQZMmTaDT6fDXX3+hU6dOZm23c+dODBgwAM7Ozrh+/bqkeSB1LSKpmKjmhRArMp3hV6i5c0qrfv36+M9//gMAmDp1qlljzOTl5fFZhmfOnCnpRRP4X9fmzMxMHldJJkyYgNzcXMhkMvz0009ihleiiIgIvPbaawDsNw9Wr17NX7ds2VLCSAgpgqitbyRADXaJNZ04cYI3cAwODpY6HMYYYykpKczX15cBYKtWrSpx/WXLljEALDQ01GZmF+7QoQMDwBwcHFhSUlKx6z548IDJZDIGgPXv399KERYvOTmZ+fj4MABs9erVJa6/dOlSBoBVqlSJZWdnWyHCkhl7PMHKPedIxUW9jajwQqzE1dWV/8AnJCRIHQ63atUqPtZMSkpKkes9ffqUj+/x/fffWzHC4iUlJTEHBwcGgHXs2LHYdaOiohgAplQqWU5OjpUiLNnKlSsZAObn58dSU1OLXO/Jkyc8D3744QcrRli8Gzdu8O+2t7e31OGQCsCS6zc9NiKklJYuXconsuvYsSOCgoIkjuh/XnnlFURERCA1NRVLliwpcr158+YhJycHrVq1wvDhw60YYfH8/f3546+DBw/in3/+KXS933//HefOnQMAvP3223B1dbVajCWZNGkSGjRogJSUlGLzYO7cucjJyUHr1q1tKg/Cw8PRqFEjAEB6ejo2bNggbUCEmKAGu4SUkq3PB/PXX3+hS5cucHBwwOXLl1G/fv187585cwYtWrQAAPzzzz/8ta3Q6/Xw8fFBZmYmqlWrhgcPHhRYJygoCImJiQgMDMSzZ8+sH2QJ/vzzT3Tt2rXIPPjnn3/4XEinT5/mcyTZCmvO00UINdglRGRdunSBsdxf3F21lDp37owXX3wROp0OU6dOhel9CmMMkydPBgCMGTPG5gougKFwaGw4+vDhQ3z55Zf53n/nnXeQmJgIAPjuu++sHp85unTpgn79+kGn02HatGn58kCv1/OuyGPHjrW5ggtg6HU0adIkAIBOp8PIkSMljoiQ/yfm8yspUJsXIrakpCTeFsDFxUXqcIp19+5dplQqGQD266+/8uU//PADA8Dc3NzYkydPJIywZHXq1GEAmKurK9NoNIwxxnJycvhxWXs0Y0vdvn2bOTo6MgBs9+7dfPl3333HADB3d3f29OlTCSMsmTF+ACw3N1fqcEg5RW1eCBGRsR0AAOzfv1/CSEpWs2ZNTJ8+HQAwffp0qFQq5OTkYPbs2QCA+fPnIzQ0VMoQS2Tsfv78+XO88sorAIARI0ZArVZDJpNJ3j29JLVr1+YzRE+fPh1qtRrZ2dn58iAkJETKEEu0efNm/tp0aABCJGOFwpRVUc0LEcuQIUPyzbxbvXp1qUMyS2ZmJgsODmYA2Jtvvsm6du3KALAaNWrYzV30Cy+8wD/31q1b89ejRo2SOjSzZGRksKCgIAaATZ48mXXu3JkBYDVr1rSbPAgICOCfu4eHBxsyZIjUIZFyhuY2oga7RGAODg4FGuVmZWXB3d1doogss3HjRowdOzbfsg4dOuDgwYPSBGQh01GMjWQyGfLy8qBUKiWKyjLr16/Hyy+/nG9Zx44d8ffff0sUkWUeP36MKlWq5Fsml8v5SLyElJUl128a85mQEgwdOrTQ3kS+vr7w8vKSICLLaTSaAssOHToEHx8fuxj6PS8vr8Ayxhh8fX3h4uIiQUSWKywPDh48aDd5kJGRUWCZXq/H0KFDsXXrVgkiIhUZ1bwQUgJfX1+kpaVJHQYhNsnHxwepqalSh0HKAap5IURA3bp14/PtmHJycoK/v78EEVlOrVYjKSmpwPKAgAC7eOySk5OD9PT0Asu9vb3h5uZm/YBKwd7zIDk5udBJR7t16yZBNKSio5oXQkrw4MED1KhRo8Dy9PR0u3lsBBjGEtm4cSP/f8yYMXY1amrt2rVx9+5d/n+tWrVw584dCSOynD3nwZMnT1C5cuUCy9PS0uDt7W39gEi5Y8n1mwovhJTAz8+PV4u7urryKQEaN26MixcvShiZ5c6cOYPjx48jOjraJgdFK8mGDRvwyy+/oF+/fgUaINsLe82DWrVq4d69ewDynwdVqlTBo0ePpAyNlBNUeKHCCxHI5s2bMWLECABAgwYNcOXKFTRv3hxnz54FYJvD6hMitL179+KFF14AYHhM9Mcff6BKlSp4/PgxAMNUFJ06dZIyRFIOUOGFCi9EII6Ojnw+F41GA4VCgdzcXLi5ufHeLikpKRJHSYi43N3dkZOTAwcHB6hUKjg4OCA9PR0+Pj4AAGdnZ+Tm5kocJbF3NLcRIQJ4+eWXecFl/PjxvDuri4sLn+8lNTUVn376qWQxEiK22bNnIycnBwCwaNEiODg4ADA0lu7VqxcAQ1f2+fPnSxYjqXisUvOyevVqfPTRR4iPj0eDBg2wYsUKtGvXrtB1d+7ciS+//BIXL16ESqVCgwYNsHjxYnTv3t2sfVHNCxFCXl4eHz9EoVAUOkaHi4sL8vLyoFAokJeXx3/UCSkv1Go1XFxcoNfr4enpWehYL8YBHGUyGdRqtV2MWUNsk03VvGzbtg1Tp07F/PnzceHCBbRr1w49e/YssoHXkSNH0LVrV+zduxfnzp1Dx44d0adPH1y4cEHsUAnhoqKi+Ovvv/++0HXWrVsHANBqtRg8eLBV4iLEmrp27coHaNy1a1eh63zwwQcADIMGduzY0WqxkYpN9JqXli1bIjIyMt909vXq1UP//v2xbNkys9Jo0KABhgwZgoULF5a4LtW8kLK6fPkyn3zOz88PycnJRa5buXJlPHnyBACQmJiIgIAAq8RIiNhu3bqF8PBwAEB4eDhu3LhR5LrGNjEAEB8fj+DgYKvESMoXm6l5UavVOHfuXIFBjLp164YTJ06YlYZer0dWVhZ8fX3FCJGQAtq2bctfG3sVFeXw4cOFbkeIvTPtPXT06NFi1z1y5Ah/bTrrOiFiEbXwkpycDJ1Oh6CgoHzLg4KCkJCQYFYan3zyCXJycoqsllepVMjMzMz3R0hprVq1CllZWQAMtYbVq1cvdv1atWrxqvJbt27hwIEDYodIiOg2b97MaxQHDhxYYo1iZGQk6tSpAwBISkrCzp07RY+RVGxW6W0kk8ny/c8YK7CsMFu2bMHixYuxbds2BAYGFrrOsmXL4OXlxf/+PespIZaYPHkyAMN39tixY2Zts2/fPsjlhlNpwIABosVGiLUYZ79WKBRmT7p46dIl/nro0KGixEWIkaiFF39/fzg4OBSoZUlMTCxQG/Nv27Ztw/jx4/Hjjz+iS5cuRa43d+5cZGRk8L+4uDhBYicVz4svvsgbJ86YMcPsXhNKpRKzZ88GAGRlZWHRokWixUiI2CZNmsTnMPr444/N7kXn7OzMB3TUaDR4/fXXRYuREKs02I2KisLq1av5svr166Nfv35FNtjdsmULXn75ZWzZsgX9+/e3aH/UYJeURnZ2Njw8PAAYJlzMy8uzOA0PDw9kZ2dDLpdDrVZT12lid7Kzs+Hp6QnGWImN1YuiUCig0+kA/G9gR0LMYTMNdgFg+vTp+Pbbb7Fu3Tpcv34d06ZNw6NHj/ggX3PnzsXo0aP5+lu2bMHo0aPxySefoFWrVkhISEBCQkKh4wsQIpSGDRvy17t37y5VGsaZp/V6PXr06CFIXIRYU4cOHWC8n/3jjz9Klca3337LXzdr1kyQuAgpgFnBqlWrWLVq1ZhSqWSRkZHs8OHD/L0xY8awmJgY/n9MTAwDUOBvzJgxZu0rIyODAWAZGRkCHwUpr44ePcq/Z6GhoWVKq3bt2jyte/fuCRQhIeI7e/Ys/+42bdq0TGl5e3vztG7cuCFQhKS8s+T6TXMbkQrP1dWVz8uSlJQEf3//UqeVkJCAkJAQADTbLrEvAQEBSE5OhkwmQ2ZmJtzd3Uud1p07dxAWFgbAMI1AWlqaUGGScsymHhsRYsuWLFnCCy5dunQpU8EFAIKDg9G3b18AQFxcHHbs2FHmGAkR2xdffMHbt4wfP75MBRcAqF27Npo2bQoASE9Pz/coiRAhUM0LqdDkcjnvum/saVRWOp0Ozs7O0Gq1cHFxwfPnzwVJlxAx6HQ6uLi4QKPRlLqxemG0Wi0cHR0BGOY/Mk5ySkhRqOaFEDOYNk58//33BUvXwcEBS5cuBQDk5uZiypQpgqVNiNBGjBjBJx79+uuvBUtXoVDgjTfeAGAoIA0ZMkSwtAmhmhdSIZm2TXFzc0N2drbg+/D19UVaWhpkMhlycnL4LNWE2IrU1FT4+fkBAEJCQvD06VPB96FUKnnhKDc3F87OzoLvg5QPVPNCSAmMz+MB4ODBg6Lsw9jlmjGWb54YQmxFdHQ0f33o0CFR9rF9+3b+2nRIAkLKggovpMLZvXs3H/W5Vq1aaN68uSj7iY6ORkREBADg1KlTuHLliij7IaQ0Dh06xGeKbtu2LZ+bSGj9+vXjI6rfuXMHZ86cEWU/pGKhx0akwnFycoJarQZgGM6/rD0ripORkQFvb28Alk1ISojYvLy8kJmZCblcjtzcXCiVStH2ZY3HtMT+0WMjQoowZcoUXnAZPHiwqAUXwHCBMI4g/ezZM3zzzTei7o8Qc7z33nvIzMwEYJjHS8yCC2AYQqB9+/YAgJycHCxfvlzU/ZHyj2peSIUhZddNY22PUqnkk94RIgWdTgcnJyfodDq4uroiJyfHKvvVarVQKpVgjEEul/P5jwgxopoXQgrRsmVL/tp0olBrWLVqFQBArVZj1KhRVt03IaZ69+7NCw5bt2612n4VCgUWLFgAwDD/V/fu3a22b1L+UM0LqRBMhyv38vJCenq61WMICgpCYmIiAMOoo15eXlaPgVRsjx49QrVq1QAA1atXx/37960eg4uLCx8ILzU1FT4+PlaPgdgmqnkh5F9atGjBX//zzz+SxHDgwAH+ul27dpLEQCq2mJgY/vrw4cOSxGA6WzV1nSalRYUXUu599913fGK4Ro0aITw8XJI4GjVqhFatWgEAYmNjcfz4cUniIBXTr7/+igcPHgAAevXqhapVq0oSR/v27fm+nzx5kq9QT4i56LERKfcUCgV/xq/RaKBQKCSLJTc3F25ubmCMwcfHB6mpqZLFQioWNzc3PH/+HA4ODlCpVHBwcJAsluzsbHh4eACAoPMpEftGj40I+X8jR47kBZdJkyZJWnABDM/733zzTQBAWloaPvroI0njIRXD9OnT+QSh7777rqQFFwBwd3fns6+rVCrMnDlT0niI/aGaF1Ju5eXl8fmEHB0d+fgutsDV1RW5ublQKBTIy8uT/GJCyi+1Wg0XFxfo9XrJGqsXxcHBAXq9HjKZDGq1WvKbCyItqnkhBECTJk34682bN0sXSCE2btwIwDD2xYABAySOhpRnnTt3hl6vBwD8/PPP0gbzL5988gkAw/xfxkHsCDEH1byQcun8+fOIiooCAAQEBPAuyrakatWqiIuLAwDEx8cjODhY4ohIeXP9+nXUr18fAFCvXj1cu3ZN4ogK8vDw4NMFxMXFoXLlyhJHRKRCNS+kwjPtEnr+/HkJIymaaVdV6jpNxNC5c2f++tixYxJGUjTTXnems70TUhwqvJByZ8WKFfxOLjo62mbv5GrUqIEuXboAMAyi9/vvv0scESlPNmzYgPj4eADAsGHD4OvrK3FEhWvUqBHq1asHAEhOTrbqqL/EftFjI1Lu2FMjQJ1OB6VSCb1eD3d3d2RlZUkdEiknnJ2doVKp4OjoiNzcXJtuFG7auF6hUECj0UgcEZECPTYiFdKePXtQrVo13jhxzpw5Nl1wAQwFLeN8L9nZ2Rg8eDBef/117NmzR+LIiL3as2cP6tWrxycA/e9//2vTBRfAUNAyzr6u1WrRrVs3Og9IsajmhZQL0dHROHHiBP9fJpPxQow98PT0LFDr0qZNGxqFl1jk3+eBvdViODo6Fpjtnc6DisOS67dt35YSYoY9e/bk+8EGDF0v+/bti5o1a0oUlWVq166NCxcu5Ft24sQJ7NmzB71795YoKmJPCjsPtFqtXZ0HderUKdAjis4DUhgqvBC7t3fv3kKX796928qRCG/fvn30o03MQucBqUio8ELsXq9evfDll18WWD5o0CCEhYVJEJHlLl68WOjFp0ePHhJEQ+wRnQekIqHCC7F7J0+eLLAsMDAQP/74owTRlM7w4cMLLAsLC6O7TWK2O3fuFFgWFBRkV+fB0KFDCyyrUaMGnQekAOptROyaVqvFsmXL+P/9+/cHACQlJeHixYvSBGWh48ePY8uWLZDJZPj0008hk8kAgI++S0hJdDodn9zQ0dEx33lw+fJlCSMz39GjR7Ft2zbIZDJ89tlnfPmjR48kjIrYKiq8ELvWqVMnGDvMffzxx9i1axeGDBkCxhimTp0KW+9Mp9frMWXKFADA+PHjMW3aNHz66acADGNf/Oc//5EyPGInhgwZwnvpbNiwAbt27cKgQYOg1+vt4jzQ6XT8PJg4cSKmTp3K/9fpdBg4cKCU4REbRF2lid1KSEhASEgIAOQb4O3Ro0cIDw9HXl4etm/fbtM/fOvXr8fLL78MT09P3Lp1C0FBQQAAPz8/pKamQiaTITs7G66urhJHSmxVUlISAgMDAQCVKlXC48ePAQAPHjxAvXr1kJeXhx07duCll16SMsxirV27FhMmTICXlxdu376NgIAAAICTkxOfDT4rKwvu7u5ShklERoPUkQqhUaNG/LXpPEFVq1bF7NmzAQBvvfUWcnNzrR6bOTIzMzF37lwAwMKFC3nBBQCfKoAxhg4dOkgRHrETbdu25a9Nz4Pq1avzR0kzZsxAXl6e1WMzR0ZGBubNmwcAWLRoES+4AMCOHTv4a9PznRCwciYjI4MBYBkZGVKHQkS0Y8cOBoABYGFhYQXez8nJYZUrV2YA2LvvvitBhCWbNWsWj1+lUhV4v3HjxvwYL1y4YP0Aic07cOAA/47ExMQUeD87O5tVqlSJAWBLly61foBmeOuttxgAFh4eXuh5EBwczI/x+PHjEkRIrMWS6zc9NiJ2SalU8pFDc3Nz4ezsXGCdLVu2YPjw4XB1dcWtW7dQqVIla4dZpDt37qB+/frQaDTYvXt3ob0pMjIy4OPjA8YYAgICkJiYKEGkxJYZR2aWy+XIzc2FUqkssM6mTZswcuRIuLm54datWwgNDZUg0sLdvn0bDRo0gEajwW+//YZevXoVWCc5OZnXxri6uiInJ8faYRIrocdGpFx7/fXXecFlxIgRhRZcAEO3y+joaDx//hxz5syxZogleuutt6DRaNC9e3e88MILha7j5eWFcePGATC0a/jqq6+sGSKxcYsWLeLtvGbNmlVowQUwdMNv3bo1cnJy+GNKWzFjxgxoNBr07Nmz0IILAPj7+6Nz584AgOfPn+Pdd9+1ZojEVoldDcQYY6tWrWLVq1dnTk5OLDIykh05cqTY9Q8dOsQiIyOZk5MTq1GjBvvyyy/N3hc9NirfNBoNr0J2cHAocf2zZ88ymUzGALATJ05YIcKS7d+/n8d/7dq1Etd3cnJiAJijoyPT6/VWiJDYOq1Wy+RyOQPA3N3dS1z/9OnT/Lw5deqUFSIs2b59+xgAplAo2PXr10tc33gey2QyK0RHpGDJ9Vv0wsvWrVuZo6Mj++abb9i1a9fYlClTmJubG3v48GGh69+7d4+5urqyKVOmsGvXrrFvvvmGOTo6sp9++sms/VHhpXwzbQeyfv16s7Z5+eWXGQDWvHlzptPpxA2wBBqNhtWvX58BYFOmTDFrmw0bNvBjHj58uLgBErvQpUsX/p347bffzNpm7NixDABr2bKl5OeBWq1m9erVYwDYtGnTzNrm3Xff5cfcqVMnkSMkUrCpwkuLFi3YpEmT8i2rW7cumzNnTqHrz5o1i9WtWzffsldffZW1atXKrP1R4aX8unHjBv/x8vb2Nnu7+Ph45uHhwQCwDRs2iBhhyVauXMkAMD8/P5aammr2dqaNFlNSUkSMkNi6e/fu8e9CrVq1zN7u6dOnzN3dnQFg3333nYgRluy///0vA8D8/f1ZWlqa2du5uLjwY09KShIvQCIJS67forZ5UavVOHfuHLp165Zvebdu3QrMfmp08uTJAut3794dZ8+eLXRqd5VKhczMzHx/pHxq1aoVf33mzBmztwsODsaCBQsAAHPmzOHtBKwtJSUFCxcuBAC8++678PHxMXvbv//+m79u37694LER+xETE8Nfm3aNLklISAjmz58PAJg9ezays7MFj80cycnJWLRoEQBg6dKl8Pb2Nnvb/fv389fUdbpiE7XwkpycDJ1Ol2/8CsAw30ZCQkKh2yQkJBS6vlarRXJycoH1ly1bBi8vL/5XpUoV4Q6A2Iy1a9ciPT0dANC0aVPUrl3bou2nTJmCWrVqISEhId90Ata0ePFipKWloWHDhpg4caJF29arVw/R0dEAgKtXr+LIkSNihEhs3I4dO/i0EX379rW4B93UqVNRs2ZNxMfHY/ny5WKEWKJFixYhPT0djRs3xvjx4y3atm3btqhRowYAID4+Hnv27BEjRGIPxKwCevLkSaENJd977z0WHh5e6DZhYWHs/fffz7fs2LFjDACLj48vsH5eXh7LyMjgf3FxcfTYqBxycHDg1cUajaZUafzyyy8MAFMqlezu3bsCR1i82NhYfgx//fVXqdJQqVS8kaYlj81I+WF8bKJQKJhWqy1VGrt27WIAmJOTE7t3757AERbv8uXL/Dt88ODBUqWRlZXFfwuUSqWwARJJ2cxjI39/fzg4OBSoZUlMTCxQu2IUHBxc6PoKhQJ+fn4F1ndycoKnp2e+P1K+DBkyBDqdDgDwxhtvQKEo3WToffr0QdeuXaFWq/HWW28JGWKx2P/Ps6TT6fDSSy+hU6dOpUpHqVRi6tSpAID09HTJ7pyJNKZMmcJHi166dCkcHBxKlU6/fv3QuXNnqFQqPgKvNTDGMGXKFOj1egwcOLDUI0e7u7tjwIABAAxNE6ZNmyZglMRuiF2SatGiBXvttdfyLatXr16xDXbr1auXb9mkSZOowW4FlZuby++yHB0dy5zelStXeA3In3/+KUCEJfv5558FrfFxdXXlXa1Le/dN7Mvz5895V2Ehat1Ma0D+/vtvASIs2c6dO3mNz/3798ucnvE8lslkpa6NJbbFpnobGbtKr127ll27do1NnTqVubm5sQcPHjDGGJszZw4bNWoUX9/YVXratGns2rVrbO3atdRVugKrXbs2L7zs2rVLkDTfeOMNBoBFRESI/qOXl5fHatWqxQCwuXPnCpKm8SIAgL3wwguCpElsW6tWrXieHzt2TJA0X3/9dQaANWrUSPRCcG5uLqtRowYDwBYsWCBIml988QX/TJo1ayZImkRaNlV4YcwwSF21atWYUqlkkZGR7PDhw/y9MWPGFJiT49ChQ6xp06ZMqVSy6tWr0yB1FZTpwFpBQUGCpZuSksJ8fX0ZALZ69WrB0i3MBx98wACwkJAQlpmZKVi61atX55/N48ePBUuX2J7Y2Fie1xEREYKlm5yczHx8fBgA9tVXXwmWbmGWLVvGALBKlSqx7OxswdL19PTkn40QtTlEWjZXeLEmKryUH25ubvyHqbDG2mVhvGvz8/MTbdyU+Ph4Pq7Gxo0bBU374cOH/LOpUaOGoGkT2xIUFMTzOj09XdC0P//881KNO2SJJ0+e8HP5+++/FzTtK1eu8M/G19dX0LSJ9dlMg11CSmv58uV8Arb27dsjODhY0PRfffVVNGjQACkpKViyZImgaRvNmzcP2dnZaNGiBUaOHClo2lWrVkWPHj0AAPfv38fu3bsFTZ/Yhm+++QbPnj0DAIwaNQpeXl6Cpj9p0iTUr18fKSkpeOeddwRN22jevHnIyclBq1atMHz4cEHTbtCgASIiIgAAqamp+P777wVNn9gumlWa2CQHBwfo9XrIZDKo1epS9zAqzp9//omuXbvCwcEBly9fRv369QVL+8yZM2jRogUAw8CLpgPsCUWn08HJyQk6nQ5ubm6SDTpGxOPk5AS1Wg2lUgmVSiXKPvbv34/u3btDoVDg8uXLqFevnmBpnz59Gi1btgQA/PPPP/ycEJJWq4WjoyMAQKFQFDqYKbEPNKs0sWs9evSAXq8HACxYsECUggsAdOnSBf369YNOp8O0adMgVDme/X/XaAAYOXKkKAUXwFDAM45UmpOTg9mzZ4uyHyKNMWPGQK1WAwC++OIL0fbTrVs39OnTB1qtFtOnTxcsXfb/XaMBw7GIUXABDAUW42B3Wq0WY8aMEWU/xLZQzQuxKenp6XzYfBcXFzx//lzU/d25cwcNGjSAWq3G7t270bt37zKnuWXLFgwfPhyurq64deuWxaOgWsrLywuZmZmQy+XIzc2FUqkUdX9EfBkZGXzY/MDAQP7oSCy3b99GgwYNoNFo8Ntvv6FXr15lTnPTpk0YOXIk3N3dcevWLYSEhAgQadEcHR2h1WoBALm5uXB2dhZ1f0R4VPNC7Jbx+TUA7Nu3T/T91a5dmw9yNW3aNH6nW1o5OTmYNWsWAMOzfrELLgDwyy+/AAD0ej26du0q+v6I+Nq1a8dfHzhwQPT9hYWF8dpCIc6D7OzsfOeB2AUXAPnau0RGRoq+PyIxMVsOS4F6G9mv/fv3854DVatWtdp+MzMz+azNH330UZnSWrhwIQPAqlevzp4/fy5QhCWrW7cu/+xu3Lhhtf0S4RmnQwHAWrZsabX9ZmRksMDAQAaAffLJJ2VKa8GCBbwnXG5urkARlszf359/dpcuXbLafokwLLl+02MjYjOcnZ15o8TMzEx4eHhYbd/r16/Hyy+/DA8PD9y+fbvI6SuK8/DhQ9StWxd5eXnYvn07Bg4cKEKkhUtJSYG/vz8AIDQ0FE+ePLHavomwfH19kZaWBplMhpycHLi4uFht32vXrsWECRPg6emJ27dvIzAw0OI0Hjx4gLp160KlUmHnzp148cUXRYi0cHFxcahatSoAwzQCUs0gT0qHHhsRuzN79mxecOnTp49VCy6AoUFhVFQUsrKyMH/+/FKlMWvWLOTl5SEmJobPvWItfn5+GDx4MADg6dOn+OGHH6y6fyKMTz75BGlpaQCA//znP1YtuADA2LFjERkZiczMTCxYsKBUacycORMqlQqdOnVC//79hQ2wBFWqVOEN5LOzs7Fy5Uqr7p9YD9W8EMlptVoolUowxiCXy/kkjNZ24sQJREdHQyaT4ezZsxY9Nz969Cjat28PuVyOc+fOoUmTJuIFWgSdTgcXFxdoNBo4OTkhLy/P6jGQ0tPpdHB2doZWq7VKY/WiHDt2DO3atYNMJsP58+ct+i4fPnwYHTp0gFwux8WLF9GwYUPxAi2CrfyeEMtRzQuxK+3bt+fdlD/99FPJ4mjTpg2GDx/Ou3iaW67X6XS8S+jEiRMlKbgAhq7Txs9PpVLhlVdekSQOUjoDBgzgvWU2btwoWRxt27bF0KFDy3QeTJo0SZKCC2DoOm2cLVuv16Nfv36SxEFEJlbDG6lQg137EhcXxxvYubu7Sx0Oi4uL47M2b9261axtvvnmGwaAeXl5scTERJEjLJmx0aJMJmNZWVlSh0PMEB8fz8+DKlWqSB0Oe/jwIXNxcWEA2I8//mjWNmvWrOGzXiclJYkcYcmcnJxEm1aBiIOmByB2o2nTpvz18ePHJYzEoHLlynywt5kzZ5ZYdZ+RkYF58+YBABYtWoSAgADRYyyJsYs5YwwxMTESR0PMYdo1+vDhwxJGYlC1alXe1fmtt95Cbm5useunp6fztmJLlizhjcelZDplRuPGjSWMhIhC/LKUdVHNi/3Ytm0bvzOqV6+e1OFwOTk5rGrVqgwAW7x4cbHrzpgxgwFg4eHhTKVSWSnCkkVGRvLP9uzZs1KHQ4qxb98+nledO3eWOhwuJyeHVa5cmQFg77zzTrHrTps2jZ/HarXaShGWLDQ0lH+2hw8fljocUgLqKk0Ndu2CUqnk85DY2oiYP/74I4YMGQIXFxfcvHkTVapUKbDOrVu3EBERAY1Gg71796Jnz54SRFq47OxseHp6gjEGPz8/JCcnSx0SKYKHhweys7Mhl8uhVqvh4OAgdUjc1q1bMWzYMLi6uuLmzZuoXLlygXVu3ryJiIgIaLVa7Nu3D927d5cg0sIlJyfz2lApG0ET81CDXWLzJkyYwAsuo0ePtqmCCwAMGjQI7dq1Q25ubpFzBs2YMQMajQa9evWyqYILYBjjYsKECQAMY8CIOTcOKb358+fzCTUXLFhgUwUXABgyZAiio6Px/PlzzJkzp9B1pk+fDq1Wiz59+thUwQUA/P39eUy5ublYuHChxBERoVDNC7E6e5kF9sKFC4iKigJjDEePHkXbtm35e/v27UPPnj2hUChw5coVhIeHSxhp0YwD/ykUCuTl5dncxbEiU6vVcHFxgV6vh4eHBzIzM6UOqVDnzp1D8+bNwRjD8ePH0aZNG/7e3r178cILL8DR0RFXr15FWFiYhJEWzXSWeo1GQ+eBjaKaF2LTTBvprl27VsJIite0aVM+W+2UKVP4TNcajYbPh/Tmm2/abMEF+N/nq9VqMWzYMImjIaZMZ0/fsWOHxNEULSoqCuPGjQOQ/zxQq9V8FuopU6bYbMEFAJYuXQrA0Ii9U6dOEkdDBCFi2xtJUINd23blyhXegM7X11fqcEqUkJDAPD09GQC2du1axhhjK1asYACYv78/S0tLkzZAM5g2WrSFrtyEsTt37vA8CQsLkzqcEsXHxzMPDw8GgK1fv54xxtinn37KALDAwEC76Irs5ubGP/P4+HipwyGFsOT6TYUXYjVvv/02k8lk/Afk7t27Uodklo8//pgBYD4+PmzevHn8R3zNmjVSh2aWmzdv5iswNmjQgL399ttSh1Vhvf3228zBwcHuLqQffvgh/w7NmzePubu7MwDs22+/lTo0s5w+fZp/5q6urnQe2CDqbURtXmyOsUeFkUwm49XPtk6tVsPf3z/fJG8+Pj5ISkqym2fnMTExOHLkSL5lNHGd9f37PHBwcOCj6to6lUqFgICAfN8ZX19fJCYm2s15EBYWhjt37uRbRueB7bDk+q2wUkykAlu4cGG+H2zA8Ow5MDAQlSpVkigq8+Xk5BT4cUtLS0O9evXg5uYmUVSWKWyW6ezsbCxcuBDvvPOOBBFVPIWdBzqdzq7Pg9TUVLs6DzIyMgoso/PAPlHNCxFdREQErl69KnUYpBARERGIjY2VOowKgc4D20XngW2gmhdiU1544YVCf7QrVaqEatWqSRCRZbKysgr9YWvYsCE8PDwkiMhy9+/fR3x8fIHlL774ogTRVEx9+vSh80BidB6UI+I2v7E+arBre2rUqMEbyhn/FAqF1GFZZMyYMfniHzNmjNQhWWTEiBEF8sDBwUHqsCqU5s2b03kgsaFDhxbIA5lMJnVY5P9Rg116bGQzTp48yQe1Mj4Xz8nJgYODA54+fYrAwEApw7PImTNncPz4cURHR6N58+ZSh2O2hw8fokaNGmCMITw8HPfu3eMDAz58+BBVq1aVOMLy7/Lly3xywICAAOTk5OD58+dwcHBAQkKCTUxkaC57PQ/u37+PWrVqgTGGunXr4ubNmzBe/m7fvo3atWtLHCGx5PpNhRciKjc3Nz6fSFJSEuRyOYKCgqDVahETE4NDhw5JG2AF0KxZM5w7dw5KpRJpaWlIS0vjc9RUq1YNDx48kDbACiAwMBBJSUkADDMwazQaBAcHQ6fToWPHjvj7778ljrD8a9q0KS5evAgnJyekp6fj4cOHqFu3LgDA29sbaWlpEkdIaIRdYhPee+89XnDp3Lkz/P394evri6lTpwIADh8+jJMnT0oYYfn3+++/49y5cwAMvV1cXV1RqVIlvPDCCwAMNS+7du2SMsRyb82aNbzgMmbMGHh5ecHf3x9vvvkmAODgwYP4559/pAyx3Pv1119x8eJFAMA777wDZ2dnhIeHo1GjRgAMBcr169dLGCGxFNW8ENHI5XIwxgqM6aLX6+Hn54f09HRUqVIFjx49kjDK8s14xx8YGIhnz57x5TqdDk5OTtDpdHB1dUVOTo6EUZZvTk5OUKvVUCqVUKlUfLler4ePjw8yMzOpBkxEer0egYGBSElJQXBwcL4Gu6bzrNnTmDvlFdW8EMl17tyZP09+9913870nl8uxZs0aAEBcXBzNeCySJUuW8Dv+7777Lt97Dg4OeO+99wAAz58/57VhRFgjRoyAWq0GAP6dN5LL5fjqq68AGGrAVq9ebfX4KoLFixcjJSUFAPDDDz/ke0+hUOC1114DYCjQDx8+3OrxkdKhmhciuOTkZAQEBAAAXFxc+KOjf6tfvz6uX78OFxcXpKenQ6lUWjPMcu358+fw8fGBWq1GVFQUzp49W+h63t7eyMjIgEwmQ25uLpycnKwcafmVmpoKPz8/AChwx2/K2HjU1dUVGRkZUChoBAuhZGdnw9fXFxqNBi1atCjy8ZxSqeSN2HNzc+Hs7GzNMMn/o5oXIinjc2QA2L9/f5HrGWfSzc3NxSuvvCJ6XBWJ8Y5fJpNh586dRa7366+/AjCMeNy5c2drhVchtG/fnr/+888/i1zvp59+AmAocNJ5IKxhw4ZBo9FALpcXO3P31q1b+WtjrzBi40TprC0hGudFWr/99hsfP6FGjRolrt+/f38+1sLDhw+tEGH5d+3aNZ4Ho0ePLnH9Bg0a8PWvXbtmhQjLv8OHD/PPtE2bNiWu37t3bwaAyeVyFhcXZ4UIy7/Y2FieB+PGjStx/YCAAL7+2bNnrRAh+Tca54UeG0nG2DgRMIzI6e7uXuz6po83mjVrhjNnzlgjzHLN0sdx5j7eIObz8fFBeno6ZDIZcnJy4OLiUuz65j7eIOaz9HHc06dP+RxTNFmjNOixEZHE9OnTecFlwIABJRZcAMDV1RXz588HAJw9exZ//PGHqDGWd9u2bcP169cBAB9++KFZ7Yh8fX15Q8WEhARs2LBBzBDLvQ8++ADp6ekAgKlTp5ZYcAEMF8u5c+cCAE6fPo0DBw6IGWK5t2nTJty8eRMA8Mknn5jVjig0NBRt27YFYChMfvzxx6LGSMpG1JqXtLQ0TJ48mT9X79u3L1auXAlvb+9C19doNFiwYAH27t2Le/fuwcvLC126dMHy5csRGhpq1j6p5kUaWq0WSqUSjLFSdTksqksvMZ9er4evry8yMjIs7oLOGIOTkxM0Gk2BLr3EfGXpgl5cl15ivrJ0QTf9HZPL5dDpdOIFSgqwmZqX4cOH4+LFi9i3bx/27duHixcvYtSoUUWu//z5c5w/fx5vv/02zp8/j507d+LWrVvo27evmGESAbRp04Z3jf7vf/9r8fYbN24EACQmJmLp0qWCxlZRzJ49GxkZGQCALVu2WLStTCbD559/DgBQq9UYN26c4PFVBP379+cXvH93yy2JXC7ntV4JCQlYvny50OFVCDNmzEBmZiYAQ02kJRQKBa8B0+v16NWrl+DxEYGI1fDG2Gjw1KlTfNnJkycZAHbjxg2z0zl9+jQDYHZjTmqwa33379/nDd08PT1LnU5UVBQDwJRKJcvJyREwwvIvJSWFKRQKBoC1b9++1OkYGy3KZDKWnp4uYITl3+PHj/l5UK1atVKn06RJEwaAOTk5sdzcXOECrACSkpKYg4MDA8A6duxY6nScnZ15XqalpQkXICmWJddv0WpeTp48CS8vL7Rs2ZIva9WqFby8vHDixAmz0zGOQVHUoyaVSoXMzMx8f8S6oqKi+GtL8vbfduzYAZlMBrVaXWwNHSloyJAh0Gq1cHBwwPbt20udjrFrO2MMMTExQoVXIZh2jT5y5Eip09m5cydkMhlUKhWdBxYaPHgwdDodHBwc8OOPP5Y6nd9//52/Nh36gdgO0QovCQkJhc4YHBgYiISEBLPSyMvLw5w5czB8+PAin38tW7YMXl5e/K9KlSpliptYZtOmTUhNTQUANGjQAA0aNCh1WtWqVeMNR3ft2sUb3JHinT17lo8jMmnSpDLN1N2kSRM+U/ClS5dw6tQpQWIs7/bs2YN79+4BALp3716mmbpr1KiBIUOGADAU6G/fvi1IjOXdP//8g4MHDwIA3njjjTLN1N2hQwd+LYmLi8Nff/0lSIxEOBY32F28eDGWLFlS7DpnzpzB/v37sXHjxgIXoLCwMIwfPx5z5swpNg2NRoNBgwbh0aNHOHToUJGFF5VKla9xYWZmJqpUqUINdq3E0dGRN87VaDRlHh1UrVbDy8sLeXl5aNCgAa5cuSJEmOVazZo1cf/+fXh4eCA9PR1yednuSXJzc+Hm5gbGGHx9ffnQ6qRo7u7uyMnJgYODA1QqFRwcHMqUXl5eHnx8fJCXl4eGDRvi8uXLAkVaflWvXh0PHz6Ep6cn0tLSynwepKenw8fHBwDg7OyM3NxcIcIkxRC1we4bb7yB69evF/sXERGB4ODgQnuNJCUlISgoqNh9aDQaDB48GPfv38eBAweKPQgnJyd4enrm+yPWMXbsWF5wGT9+vCDDmiuVSt5Q8erVq8WOikmAb7/9Fvfv3wcAfPHFF2X+wQYMUzpMmjQJgGEMmE8//bTMaZZns2fP5r2KFi1aVOaCC2C4WBrnnoqNjaWZv0vw5Zdf4uHDhwCA1atXC3IeeHt78wa7eXl5mDdvXpnTJMIRrav09evXUb9+ffzzzz9o0aIFAEO1XqtWrXDjxg2Eh4cXup2x4HL79m0cPHiQz5FjLuoqbR15eXl8/AqFQsHnBRFKlSpV8PjxY3h7eyMlJUWQH6PyRqvVwtvbGzk5OQgLC8OtW7cETd/FxQV5eXlQKBTIy8sT5KJc3qjVari4uECv18PT05P39hJKpUqV8PTpU/j4+CA5OZnOg0JotVp4eXnh+fPnCA8Px40bNwRN38HBAXq9nrfHo7mnxGMTXaXr1auHHj16YOLEiTh16hROnTqFiRMnonfv3vkKLnXr1uV3FVqtFgMHDsTZs2exadMm6HQ6JCQkICEhgQ9+RmxDZGQkf/39998Lnr6xq296ejrvukjye/311/kdv3F+HCEZu+1qtVoMHjxY8PTLg65du0Kv1wOAKLUjmzZtAmAYM2vBggWCp18evPLKK3zyVzHOg48++giAoRF7hw4dBE+flJKY3Z5SUlLYiBEjmIeHB/Pw8GAjRowo0O0MAFu/fj1jLH+X23//HTx40Kx9Uldp8V26dInni7+/v2j7adu2LQPAFAoFdVf8lydPnjC5XM4AsJ49e4q2n8qVK/O8jo+PF20/9ujmzZv8s6lbt65o+2nTpg0/D+h3Lb+4uDh+HvTu3Vu0/bi7u/O8prmnxENzG9FjI1F5enryeT8ePXokWg+vxMREhISEQK/Xo1u3bjR1gIk2bdrg5MmTUCgUSElJEe27fvfuXdSuXRsARHk0Zc+Mj3QAw3fV0kfc5oqPj0flypWh1+vRo0ePfN14K7pWrVrhn3/+gaOjI1JTU82akqQ0zp8/z4eECAgIQGJioij7qehs4rERKZ9WrlzJCy6tWrUStWt6YGAgXn31VQCG8UfOnz8v2r7syaFDh3Dy5EkAwMyZM0UtpNeqVQsdO3YEANy+fZuPA1PR/fDDD7zgMmjQINEKLgAQEhKC8ePHAwD27duHS5cuibYve/LXX3/xCSznzJkjWsEFMDwmr1OnDgBDpxMxHk8Ry1DNC7GItRuv6fV6eHl5ITs7G7Vq1cKdO3dE3Z89MN7x+/r6IikpSfRGnKaNUj08PGggSBh6A6lUKqs1Zha7cbY9CgkJQUJCAvz8/JCYmCj6eWDaScHR0ZHaYYqAal6IKPr3788bJ86cOdMqre7lcjm++OILAIZHGOvXrxd9n7bsk08+4Xf83377rVV6nyiVSj4uU1ZWFhYtWiT6Pm3ZK6+8wseW+vTTT63SC0uhUGDFihUADDVgxrnAKqrly5fzwU43bNhglfPA2dkZI0aMAGDoFWusFSbSoJoXYpasrCz+eTo5OSEvL8+q+69duzbu3r0LNzc3pKenV8juilIPXObh4YHs7GzI5XKo1eoK2XU6Ozsbnp6eYIzBz88PycnJVt2/cUBCd3d3ZGRkVMiu03l5efD29oZKpUKTJk1w4cIFq+5foVDwyTeFGJiT/A/VvBDBNWzYkL/evXu31fdvfMack5ODN9980+r7twXjxo1DXl4eZDKZJIP3GedM0uv16N69u9X3bwtiYmL47OlSNCA3zteTnZ1dYc+D0aNHQ6VSQSaTYefOnVbf/7fffstfm87rRqxMxF5PkqCu0sI7fPgw7yYYGhoqWRzdu3dnAJhcLq9w3Xbv3bvHZDIZA8AGDhwoWRy1a9fm34W7d+9KFocUzp49y4+9adOmksXRpUsXBoA5ODiwZ8+eSRaHFG7dusXPg6FDh0oWh7e3N/8u3LhxQ7I4yhvqKk2PjQTl6urK5/VISkoq04RnZZGeno6AgABotVq0bdsWR48elSQOKTRt2hQXL16Ek5MT0tPT4ezsLEkcCQkJCAkJAWAYBfnRo0eSxCGFgIAAJCcnQyaTITMzU9TeLcVJTU1FUFAQtFot2rdvj8OHD0sShxQaNWqE2NhYODs7Iy0tTbLz4M6dOwgLCwMAeHl5IT09XZI4yht6bEQEs2jRIl5w6d69u2QFF8Aw18iMGTMAAMeOHcOxY8cki8Wafv31V1y8eBEA8M4770j2gw0AwcHB6NevHwDDbLvGR0nl3RdffMHbt0yYMEGyggsA+Pr6YurUqQCAI0eO4Pjx45LFYk27du1CbGwsAOC9996T9DyoXbs2H2U8IyMDX3/9tWSxVFRU80KKxBiDg4MDGGOQy+W8kZqU9Ho9/P39kZaWhkqVKuHx48dShyQqvV6PwMBApKSkIDg4GPHx8VKHBJ1OB2dnZ2i1Wri4uPCh2csr0+OVorF6YfR6PXx9fZGRkVEhasD0ej0CAgKQmpqK0NBQPHnyROqQoNVq4ejoCMAwhIRxklpSelTzQgTRsWNH3jjx/ffflzgaA7lcjm+++QYA8OTJE959tLxavHgxUlJSABgGRrMFDg4OWLZsGQAgNze33DccHT58OL8wmTbWlJJcLseaNWsAGGrAVq5cKXFE4nr77beRmpoK4H/zPUlNoVBg8uTJAAwF3EGDBkkcUcVCNS+kUKZtG9zc3JCdnS1xRPk1bNgQV65cgbOzMzIyMqBUKqUOSXDZ2dnw9fWFRqNBixYt+GiitsLX1xdpaWmQyWTIycnhA3iVJ8nJyXz03JCQED7Gjq2oX78+rl+/DhcXF6Snp5fL8yAzMxN+fn7QarVo3bo1Tpw4IXVI+Tg5OfEB67KysiR9pGjvqOaFlFmTJk3464MHD0oXSBF27twJmUyGvLw8vPzyy1KHI4phw4ZBo9FALpdL0jW6JMYu84wxPoVAedOuXTv++tChQ9IFUgTj9yI3NxcTJ06UOBpxDB06FFqtFnK53CaH5TeNyfR3k4hMtD5PEqGu0mX3888/826AtWvXljqcIg0YMIABYDKZjD148EDqcAQVGxvL82DcuHFSh1Okhg0b8jgvXbokdTiCOnjwID+29u3bSx1Okfr378/Pg4cPH0odjqBMZ7CfOHGi1OEUKSgoiMd56tQpqcOxW9RVmh4blYlSqYRGowFguKOTslV/cZ4/fw4fHx+o1WpERkbi3LlzUockmLp16+LmzZtwdXVFRkaGzY7imZGRAW9vbwCGiTSfPXsmbUAC8vLyQmZmJuRyOXJzc232kYzpeRAVFYWzZ89KHZJg6tSpg9u3b9v8yNqmj9ldXV2Rk5MjcUT2iR4bkVKbPHkyL7gMGTLEZgsugOFHYuHChQAMU9bv3btX4oiEsXnzZty8eRMA8PHHH9vsDzZguMCPHj0aAJCYmMgbU9u79957j09A+dZbb9lswQUwnAfz588HAJw7dw779u2TOCJhfPfdd7h9+zYA4LPPPrPp8yA4OBgxMTEADIXJ5cuXSxxRBSB6PZCV0WOj0jN9XOTg4CB1OGYzVtl6enqy1157je3evVvqkErt119/ZY6OjgwAq1atmtThmE2pVPLvjb3nwS+//MLPAzc3N6nDMVtAQEC5Og8UCgUDwGrUqCF1OGYzjv4LwO7zQAqWXL+p8EIYY4y1adOGn3QAWM2aNaUOyWz79+/PFzsA1qZNG6nDsti/86Bhw4ZSh2S2b7/9tlzmQd26daUOyWx79+4tl3lgT+fBwoULy0UeSMWS67ft1sMRq9mzZ0+B7of37t1D3759UbNmTYmiMt+9e/cKLDtx4gT27NmD3r17SxCR5QrLg9jYWMoDKyosD27cuEF5YEV0HhBzUeGFFNlWRIrZo4W0b98+u/nBoDyQHuWB9CgPiLmo8EKKbIw4aNAgPvmYLbt9+3ahc+z06NFDgmhKp1atWoUupzywHmOvqX+jPLCeGjVqFLqc8oD8G3WVJlAoFAXmLbKnrsfXrl1DgwYN8i1zdnbmE0rag+rVq+Phw4f5ltlTHly9ehURERH5ltnbfC9ubm4F5mmypzyIjY1Fo0aN8i2zt7mnqlatiri4uHzL7D0PZDIZ9Hq9RBHZF+oqTcw2cuRIXnDp0aMHKleuDACoVq2alGGZjTGGadOmAQBatmyJ9u3bAwDy8vKwbds2KUMz25dffskLLtOnT0elSpUAFH0XamtM86BVq1Zo2LAhAMN8Lx9++KGUoZlt+vTp/CI/atQohIaGAoBdtLMACuZBdHQ0AMM4TbY4Km1hvvjiC15wmTlzJs+DomolbQ1jjM/23bp1a1SvXp0vnzlzpnSBlVdithyWAvU2Ml9ubi5vEe/o6MgYM4zs6uDgwACwv/76S+IIS7Z7924GgCmVSnb79m3GGGNVqlRhAJiXlxfT6XQSR1g8jUbDXF1dGQAWHh7OGDPkgVwuZwDYwYMHpQ3QDL/++ivPg7t37zLGGHNxcWEAmEKhYFqtVuIIi6dSqXgXVy8vL8aYYWRXYx4cOnRI2gDNYBzmwMnJiedB5cqVGQDm7e1t8+eBSqXi35l69eoxxhi7ePEiz4PDhw9LHGHJdu3axfPg3r17jDHG45fJZEyj0Ugcoe2jrtJUeDFLnTp1eOFlx44dfPkbb7zBuyja8gmnUqlY7dq1GQA2e/ZsvvzEiRP8uKZPny5hhCUbN24cjzU2NpYv/89//sMAsEaNGtn0xT8vL4/nwdy5c/nyn376iR9X3759JYywZNHR0TxW04vka6+9xgCwxo0b23we1KxZkwFg8+bN48uPHj3Kj2vmzJkSRliyMWPG8FivXbvGl0+aNIkBYE2aNLHpPMjNzeV5MH/+fL78888/58fVqlUrCSO0D1R4ocJLic6dO8dPqoCAgHzvpaSkMF9fXwaArV69WqIIS/bRRx8xACw4OJhlZmbmey8mJoYPmpaSkiJRhMWLi4vjd2a9e/fO915ycjLz8fFhANhXX30lUYQl+/DDDxkAFhISUiAPqlatyr9jjx8/lijC4l27do3HWL9+/XzvJSUlMW9vbwaArVmzRqIIS7Z8+XKeB1lZWfnea9u2La8BS0tLkybAEjx8+JDXfPXr1y/fe4mJiTwPvv76a2kCNMOyZcsYABYaGlogDzw8PPh37P79+9IEaCeo8EKFlxK5u7vzE+rp06cF3l+5ciUDwPz8/Gzy4p+QkMB/FNatW1fg/aSkJP74q3PnzhJEWLIWLVrwR3b//sFj7H93bX5+fiw1NVWCCIsXHx/P82DDhg0F3r937x7/jtWqVUuCCEsWHBzMYyzse75ixQoGgPn7+9vkxf/p06f8XN64cWOB9589e8YLyF27dpUgwpI1a9aMP3Ys7Dz47LPP+E2WLebBkydPmJubGwPAvvvuuwLvm04u6efnJ0GE9oMKL1R4KdbHH3/MT6a2bdsWuo5Go2ENGjRgANjkyZOtHGHJxo8fzwCwqKioIp/nGx9/AWBnzpyxcoTF+/PPP3lsb7/9dqHrqNVqVr9+fQaATZ061coRluzll19mAFjz5s2LzIMuXbrw4/ztt9+sHGHx1q9fz2MbNmxYoeuo1WpWt25dBoBNmzbNyhGWbOzYsQwAa9GiRZF5YHz8BYCdO3fOyhEW748//uCxLVmypNB1TPPAFh8DGx95tWzZssg8qFevHj/OzZs3WzlC+0GFFyq8FMvcRmQHDhzgj16uXr1qxQiLd+7cOV7NfPz48SLX0+l0vGbA1uZHMd7x+/n5FduY0jj1gUKhYNevX7dihMU7e/Ysz4MTJ04UuZ5Wq+XfN3d3dytGWDInJyde81Vce4p9+/bxPLhx44YVIyze6dOn+QXx5MmTRa6n0+l47YytTfthnJfs34+u/+3333+3+Tw4depUkeuZdo5QKBRWjNC+UOGFCi9F6tWrFz+JTBv3FaVfv34MAOvWrRvT6/VWiLB4er2eP8cfPnx4iet///33/Hhtpd2C8fk4ALMmbuvbty8DwHr27GmF6Eqm1+t5I9eRI0eWuP7ixYv58c6ZM8cKEZbMtKG0Oe26evfuzQCwXr16WSG6kun1eta6dWsGgI0aNarE9Tds2MCP99tvv7VChCV77733eEx79+4tcf0XXniBAWAvvPCCFaIrmV6vZ61atWIA2OjRo0tc37RR8vjx460Qof2hwgsVXgqVlpbGTx5nZ2eztrl9+zafMdgWZkjdunUrA8BcXV1ZXFycWduEhYUxwDBDsNS9p3Jzc/kdf5MmTcza5vbt23ymaVt49LJlyxaeB+Y2xPX09GQAmFwuZyqVSuQIi5eens5rjUq64ze6efOmTeXBpk2b+Hfa3Dww9gqzhfMgJyeH/65ERkaatc3Nmzf5TNPmFHbE9sMPP/DP88mTJ2ZtY4wfgOR5YIuo8EKFl0IZxz8BLBvDZdasWQwAq127tqQXnpycHH4MRT0fL4xpg7kJEyaIGGHJBg4cyB/ZGceCMMfMmTMZAFanTh3J88A4fsi7775r9nZ//fUXz4OYmBjxAjRD48aNeSwXLlwwe7sZM2YwwDAej5R5kJ2dzSpVqsQAsPfee8/s7S5cuMCP+9VXXxUxwpK99NJL/Dx48OCB2dtNnz6d54FarRYxwuJlZWWx0NBQBoAtXbrU7O2MhU4ArEGDBiJGaJ+o8EKFlwJMLx5VqlSxaNuMjAz+bPqjjz4SKcKSGR8/VK1aleXk5Fi0bc+ePfmdv7l3SUK7desWv+MfOnSoRdtmZGSwwMBABoB98sknIkVYskWLFjEArFq1auz58+cWbWs6rtCdO3dEirB4//zzD4+hWbNmFm2bnp7OAgICGAD26aefihRhyd5++20GgFWvXt3iPOjevTs/D+Lj40WKsHg3btzg58GIESMs2jYtLY3nwWeffSZOgGZYsGABz4Pc3FyLtjUOQwGAXblyRaQI7RMVXqjwUoCzszM/YUrT3XDdunUMAPP09GQJCQnCB1iCR48e8RE4t23bZvH2GRkZvMq2devWIkRYsoYNG/JHdpb+4DHG2Nq1axlgGAX22bNnIkRYvIcPH/I82L59u8XbJyYm8u9gpUqVRIiwZMYLh0wms/jCzxhj33zzDc+DxMREESIs3oMHD/i5/NNPP1m8fVpaGj8PoqOjRYiwZMZejM7OzqWqwfr6668lzYP79+/zPDAd3NOS7Y3ngaenpwgR2i8qvFDhJZ958+bxk6W0DQ51Oh2LioqS7NHLsGHDGADWrl27UjccNv0crD3s/s6dO/m+P/7441KlYZoHr7zyisARlmzo0KH8sU9p82DAgAH8c9i0aZPAERbvk08+4ft+7bXXSpWGVqtlTZs2lezRy+DBgxkA1qFDh1LnwZw5c/jnYO1h901HXi5tzYlWq2VNmjRhANikSZOEDdAMgwYNYgBYx44dS50HzZs355/DF198IXCE9stmCi+pqals5MiRzNPTk3l6erKRI0dadNf/yiuvWPwlp8JLfhqNhlfRyuXyMqV1/PhxftdqzfEijMOcy2Qydv78+VKno9Pp+J13SEiIgBGWvF/jaLmhoaFlSuvYsWP8s7CkvUZZHTlyhH+HyrJfrVbL7/zNbTQuBCH3a/wsrJ0Hhw8f5nlw8eLFUqdj+n20Zg2YTqfjo+VWrly5TGkJ9VlY6tChQ3y/ly5dKnU6pr/LDg4OAkZo32ym8NKjRw8WERHBTpw4wU6cOMEiIiIKDINelF27drHGjRuz0NBQKryUgbFbsVDPiI01IG3btrVK12mdTsciIyMFq/ExTmAHgH344YcCRFiyuXPnClrjY6wBad++vVXywLS2QYgaH+OIqdasvTA2EAXAtm7dWub0jDUgZamFsoRpbYMQn5lpDYi12lAZG/4DYEePHi1zesYakLLUQllCq9Xyxt5C1PgYGx8DYC+++KIAEdo/myi8GOcMMR245+TJkwxAiYMMPX78mFWqVIlduXKFVatWjQovpRQXF8dPDqEGCDNteyLERaAkxnYeQra1MbY9cXJyKlXbE0uI0dbGtO3Jjz/+KEiaxfn2228Fb2Ng2vaksCHhhSRGWxvTtielaf9jKTHaeURERJSp7YklTNvaFDWqt6VM256Upv2PpdasWcMAwyzdQuWBsbs4ANHPA3tgE4WXtWvX8unlTXl5eRU6F42RTqdjHTt2ZCtWrGCMsRILL3l5eSwjI4P/GS/YVHhhvFU+IOyw4EuWLGFA6Xr9WMK0l1Np24kU5s6dO6Xu9WMpsXo5GXtelabXjyVMezkJ2cOmLL1+LCVWL6eFCxcyoHS9fixh2stJyB42pr3fzBnwsSxMezkJ2djctOeVmDcipr2cjNcmIezevZt/N21tFHAp2EThZenSpSwsLKzA8rCwMPb+++8Xud3777/PunbtyqsBSyq8GLtu/vuvohdeduzYwT+LOnXqCJp2Tk4OnzHYkvFWLGWsZg4LCxP8ztBY5SyTyUTrtms6vszEiRMFTdt0zBtLxluxlHF8GTHGNjE+BgEsG2/FEsbpFYwNLIWUnZ3Nx7yxZLwVSxnHl6lbt67gY5sYG1BbOu6QJUxnsBe6ga3pmDeWjLdiKeMjHjHyICQkRNDHafZM1MJLUYUF078zZ86wpUuXFnrRrF27Nlu2bFmhaZ89e5YFBQXlu0OlmpfSMY4GCkCUO5Jt27YxAMzFxYU9evRI8PRv3brFj2HPnj2Cp2860m3jxo0FT58x8Uf2Lc1ow5YwzQMxRjTNysrid/7+/v6Cp88Y43NbiTWy7+bNm3kemDvSrSVu3LjBH7f8/vvvgqefk5PDz4OmTZsKnj5jjNWqVYs/ui5uDqnSKs1ow5YwzYN9+/YJnn5SUhL/rXZxcRE8fXsiauElKSmJXb9+vdi/3NzcUj02+uyzz5hMJmMODg78z/jDU61aNbPiozYvjE2aNImfDJYOAmUuvV7P2rVrx4CiZ+QtC+N8Pt27dxetMd4HH3zAP6dffvlF0LRN55L55ptvBE3byHSeJzHyuU+fPgwQd04l48zUANjKlSsFTdv4WAcwbx6v0tDr9axNmzYMMG+eJ0sZ5/MRc06l999/n39OQk8BYhwfCgBbv369oGkbWTrPk6WM88GJOadS586d+ef0zjvviLYfW2cTj42MDXb/+ecfvuzUqVPFNthNTk5msbGx+f5CQ0PZ7NmzzZ5JtKIXXjQaDT8JxO6CZzq787FjxwRL11jV7+DgwK5duyZYuoUxd3ZnS1hzNmtzZ3e21B9//MEA68xmbe7szpaw5mzWZ86c4edccbM7W8qaMykb25YJWQOm1Wr5bNa1atUSLN3CmDvDtqX27t3L8+DmzZuCpVsY43ksk8lE3Y8ts4nCC2OGrtKNGjViJ0+eZCdPnmQNGzYs0FU6PDyc7dy5s8g0qLeRZUznbRHrTsfUhAkTGAAWFRUlyMVfo9Gw+vXrMwBsypQpZQ+wBH/++Sf/vN5++21B0nzjjTfyPUIV2/jx4xkA1rx5c0HyQK1W8zyYNm2aABEWb+PGjfzzEqoWr0uXLjxNa0ykaJylukWLFoLlQd26dRkANn36dAEiLJ5p26DFixcLkqZpDbA1xsMZO3YsA8BatmwpWB6Eh4czAGzGjBkCRFg801m2hW6fZS9spvCSkpLCRowYwTw8PJiHhwcbMWJEgUHqSrrIUuHFfDdu3OBffh8fH6vsMyEhgc8YXFwvMnOtXLmS14SkpqYKEGHJWrZsye/8y9pd8dmzZ/xxZ5cuXQSKsHgJCQm8pmfDhg1lTu/zzz/nd+GlmUqiNEwbLaakpJQprXv37vG0ateuLVCExYuPj+e1DBs3bixzeitWrGCAYdZra+WBcdRXIc6D+Ph4XvPVvXt3gSIs3tOnT3kefPfdd2VOzzgeUUBAAEtPTxcgwpK5urry725SUpJV9mlLbKbwIoWKXHgxjl4JgN2+fdtq+/34448ZABYUFFSmzz05OZmP/Pnll18KGGHxnjx5wn9oy/pcu3379ryauawXYUt89NFHDAALDg5mmZmZpU4nKSmJf4/WrFkjYITFMz5mBsDq1atXprRMZ0+35uSDxjZUISEhZcqDxMRE5uXlxQCwr7/+WsAIixcXF8cfXfTt27dMaRnbYikUCqsVvhhjbPny5TwPylIAM80DsdqsFebEiRP8uxscHGy1/doKKrxUwMKLcQAlACwyMtKq+1apVLxnzaxZs0qdzn/+8x8GgDVs2FCU3jnFMW04GhsbW6o0jEP3W6uq35RKpWK1a9dmANicOXNKnc7rr7/OAEMPLDF6hhQnOjqaf36lHYn4xx9/5GmU9QJsqby8PN6zZu7cuaVOx/i4RYo8GDNmDP/8SjvjsXE6j7L+HpRGXl4eq1mzZpkbab/66qsMAGvSpInV86BGjRqiNaC2dVR4qYCFF+OjCgBWv/Az9r/BlhwdHUtV6xMbG8trP/766y8RIiyeRqPhVbalHRfHeMfv5eUlWONfS/z6668MAFMqlaUau+by5cs8D6w9cSVjhgKYcf+F9VQ0h3HkYYVCYfWLDmP/m35CqVSyu3fvWrz9pUuX+Gdw6NAhESIsnkql4p9h3bp1S5WGcdwVHx8fSc6DXbt2McAwgnZpxq65ePEizwNrT1zJmGEIAeNvuVKptPr+pUSFlwpWeDHOswKATZ48WZIY9Ho9H0WzX79+Fm9r7Cr40ksviROgGb766iv+Of7www8WbWtsqwNYZ9qEwuj1etatWzcGWD5Xil6vZ506dWIA2MCBA0WKsGTGAdkAFDuYZWEmT57Mt/3ggw9EirB4er2eNxa29Lus1+tZx44dGQA2aNAgkSIs2apVq0r9XTa21QGsM2R/YUx/TwYMGGDxth06dGAA2ODBg0WKsGSms69bo+OCraDCSwUqvOTm5tpMKf3atWu8Bmj//v1mb2e8W3VycirV3aqQqlWrxgDDXErm3jWa3q2Wtb1GWV29epXnwZ9//mn2dqZ3q/fv3xcvQDMYa8AcHBzMrj15/vw5b69hrcbqRYmNjeV5YEktonFUbGdnZ8nzwDiCtiW1iCqVis81FBERIXKExTOtyf3777/N3s44YaWzszN78OCBiBGWzPgdkslkktSmS4EKLxWo8GJs52Arz0enTJnCALD69eubdcIJ9YxaKKbjRZhbizV69Gi+jdjj0pjDWAMRERFhVh7k5ubyPFiwYIEVIizeL7/8wj9Pcwdna9WqFd9GyDGHSsvYXd7c9lu5ubmsevXqDBCuy35ZmDYcNbe7/IgRI/jFVuwxUcxhbEPXqFEjs/Lg+fPnPA8WLlxohQiL9+WXX/I8EHv+L1tBhZcKUngxvdAGBQVJHQ5jjLHU1FTm5+fHAPNGTBWqd4CQjFX3Dg4OJXZXfPjwIb/jt/RxmVhSUlL4rM2rVq0qcf1ly5YxACw0NNRm8sB4EQHAHj58WOy6pnNISX3Hb2Tac2716tUlrr906VIGGGa9zs7OtkKEJYuJieHnQUk95x48eMDPAykf/ZqytPeicZwVW8oD4zAUgHV7kEqFCi8VpPDi5ubGv9jW7BJaktWrV/Pq++Tk5CLXMx2XQYixMYSSnJzMq2w7dOhQ7LpRUVH8kZ2tXPgZ+1+7BV9f32IvPE+fPuXfo++//96KERbv4cOH/LtdvXr1Ytc1znoNwGrjcZjD3DGLnjx5wvPA0rZWYkpKSuLnQadOnYpdNzIykp8HYs40bynjmEUl5cHjx4/548pNmzZZMcLiXblyhX+3fX19pQ5HdFR4qQCFF+PdMgAWExMjdTj5aDQa1rBhQwaAvfHGG0WuJ/SopEKaOnUq/3xPnTpV6Dr79u3j64g5u3ZpaDQaFhERUeLjL+OopK1atbK5POjRowf/fIuae+rrr7/m64wePdrKERZPo9GwBg0alNjo0vjYsXXr1qLN41Vab775Jv98T58+Xeg6xiH0AXFn1y4N09Gip06dWuR6o0aNYgBYmzZtbC4PjOexrd3kiYEKLxWg8GJsjGar82D89ddfvMq5sHFTxJqLRCg6nY5X2RY1Kajxjj8gIMC6wZnJOPWBg4MDu3r1aoH3TfPAdA4yW6HVavmdv6ura6HrKJVKm2isXpQDBw4UmwfG+d6KKxxIyXSerqJqwAICAmzq0fW/Gac+UCgUhbZJO3nyJM8Da0znYSnT+eoUCoXU4YiKCi/lvPBi7A4LCDcPiRheeuklBoB17tw5392M2LPACmXz5s38c/5325F3332Xv7d3716JIizZiy++yACwrl27FsgDYyPXMWPGSBdgCUw/53/PLzNy5Ej+3rfffitRhCXr168fA8C6deuWLw90Oh2fmmLs2LESRli877//nn/OX331Vb73Fi9ezN+zpIehtRU1S71Op2MtWrRgANi4ceMkjLB4EydO5J+zLf9mlhUVXspx4SUpKYl/iV1cXKQOp1h3797ld8Y///wzX75p0yZ+N/348WMJIyyZcWI2FxcX3mMhJyeHH5e1RzO2lGke/Prrr3z5Dz/8wAAwNzc39uTJEwkjLJmxBkwulzOVSsUYYyw9PZ2fB4GBgRJHWLzbt28zR0dHBuTvEfjdd98xwDDr9dOnTyWMsGTGEbRdXV35eZCVlcW/W7beG+bWrVs8D/bs2cOXGycFdXd3t6l2g4VRKBT8O5+bmyt1OKKgwks5LryEhobyL7AUoz9aau7cuQwAq1WrFsvLy2PZ2dl8BE5bez5emNjYWP55G++OjbUZMplM8rEgzDFnzhwGGCYp/HceWDoQnBQOHjzI86Bt27aMsfztAC5duiRxhCWbNWsWA8DCwsKYSqViWVlZfDLKZcuWSR1eiUx7dI0fP54x9r8aJZlMVmKPMFswc+bMIvNg+fLlUodXoi1btvA8CA8PlzocUVDhpRwWXtavX8+rmItrh2FrMjMz+Q/Ef/7zH/7Iq3r16uz58+dSh2eW3r1788+9TZs2/PWIESOkDs0smZmZLDg4mAFgb775JuvatSsDwGrUqGE3d3B169bln7tpAb5Vq1ZSh2aWjIwMFhQUxBtQG0eArVmzpt3kQa9evQo9D2z5saOpjIwM3k5typQpPA+MN1b2wN/fn3/uMTExbP369VKHJCgqvJSzwotxsjfTP1vqllsSY9Ws6V9JXZBtielcI6Z/xkcY9mDDhg12nQcpKSmF5oG9FIAZY2zdunUF4u/YsaPUYZnN+Ntq+ieTyezqPFi7dq1d50FcXFyB+GvVqiV1WIKx5PotY4wxlCOZmZnw8vJCRkYGPD09pQ6nzDZs2IBx48YVWO7o6AgHBwcJIrKcXq+HWq0usFypVEIul0sQkWW0Wi20Wm2B5ZQH1qNWq6HX6wssd3BwgKOjowQRWc7e84DOA+npdDpoNJoCy9evX4+xY8daPyCBWXL9VlgpJlJKu3btKnS5RqMp9EtsTwr7EbEnlAfS0+l00Ol0UodRJvaeB3QeSO+XX34pF4UXS1Dhxca9+OKL+PXXXwssd3Jysps7Tq1Wi7y8vALLXVxc7OKOTaPRQKVSFVhOeWA9KpWq0Auko6MjnJycJIjIcvaeB3QeSK+oPOjXr58E0UhM9IdYVlYR2rzY4zPOMWPG5DsGe2nkZ0R5ID3jVBLGP3d3d6lDspi95wGdB9IrD3lQFGrzUo7avBht2LABv/zyC/r162e31YNnzpzB8ePHER0djebNm0sdjsUoD6S3cOFC7Nq1Cy+++CLeeecdqcMpFXvPAzoPpFce8qAwlly/qfBCCCGEEMlZcv22/ebVhBBCCCEmqPBCCCGEELtChRdCCCGE2BUqvBBCCCHErlDhhRBCCCF2hQovhBBCCLErVHghhBBCiF2hwgshhBBC7AoVXgghhBBiV6jwQgghhBC7QoUXQgghhNgVhdQBCM04VVNmZqbEkRBCCCHEXMbrtjlTLpa7wktWVhYAoEqVKhJHQgghhBBLZWVlwcvLq9h1yt2s0nq9Hk+fPoWHhwdkMpng6WdmZqJKlSqIi4srl7NW0/HZNzo++0bHZ9/o+MqGMYasrCyEhoZCLi++VUu5q3mRy+WoXLmy6Pvx9PQsl19OIzo++0bHZ9/o+OwbHV/plVTjYkQNdgkhhBBiV6jwQgghhBC7QoUXCzk5OWHRokVwcnKSOhRR0PHZNzo++0bHZ9/o+Kyn3DXYJYQQQkj5RjUvhBBCCLErVHghhBBCiF2hwgshhBBC7AoVXgghhBBiV6jwUoilS5eiTZs2cHV1hbe3t1nbMMawePFihIaGwsXFBR06dMDVq1fzraNSqfDmm2/C398fbm5u6Nu3Lx4/fizCERQvLS0No0aNgpeXF7y8vDBq1Cikp6cXu41MJiv076OPPuLrdOjQocD7Q4cOFfloCirN8Y0dO7ZA7K1atcq3jr3mn0ajwezZs9GwYUO4ubkhNDQUo0ePxtOnT/OtJ1X+rV69GjVq1ICzszOioqJw9OjRYtc/fPgwoqKi4OzsjJo1a+Krr74qsM6OHTtQv359ODk5oX79+ti1a5dY4ZfIkuPbuXMnunbtioCAAHh6eqJ169b4448/8q2zYcOGQs/FvLw8sQ+lUJYc36FDhwqN/caNG/nWs9f8K+x3RCaToUGDBnwdW8q/I0eOoE+fPggNDYVMJsPPP/9c4jY2c/4xUsDChQvZp59+yqZPn868vLzM2mb58uXMw8OD7dixg8XGxrIhQ4awkJAQlpmZydeZNGkSq1SpEjtw4AA7f/4869ixI2vcuDHTarUiHUnhevTowSIiItiJEyfYiRMnWEREBOvdu3ex28THx+f7W7duHZPJZOzu3bt8nZiYGDZx4sR866Wnp4t9OAWU5vjGjBnDevTokS/2lJSUfOvYa/6lp6ezLl26sG3btrEbN26wkydPspYtW7KoqKh860mRf1u3bmWOjo7sm2++YdeuXWNTpkxhbm5u7OHDh4Wuf+/ePebq6sqmTJnCrl27xr755hvm6OjIfvrpJ77OiRMnmIODA3v//ffZ9evX2fvvv88UCgU7deqUqMdSGEuPb8qUKeyDDz5gp0+fZrdu3WJz585ljo6O7Pz583yd9evXM09PzwLnpBQsPb6DBw8yAOzmzZv5Yjc9h+w5/9LT0/MdV1xcHPP19WWLFi3i69hS/u3du5fNnz+f7dixgwFgu3btKnZ9Wzr/qPBSjPXr15tVeNHr9Sw4OJgtX76cL8vLy2NeXl7sq6++YowZvtSOjo5s69atfJ0nT54wuVzO9u3bJ3jsRbl27RoDkO+LdPLkSQaA3bhxw+x0+vXrxzp16pRvWUxMDJsyZYpQoZZKaY9vzJgxrF+/fkW+X97y7/Tp0wxAvh9hKfKvRYsWbNKkSfmW1a1bl82ZM6fQ9WfNmsXq1q2bb9mrr77KWrVqxf8fPHgw69GjR751unfvzoYOHSpQ1Oaz9PgKU79+fbZkyRL+v7m/S9Zg6fEZCy9paWlFplme8m/Xrl1MJpOxBw8e8GW2lH+mzCm82NL5R4+NBHD//n0kJCSgW7dufJmTkxNiYmJw4sQJAMC5c+eg0WjyrRMaGoqIiAi+jjWcPHkSXl5eaNmyJV/WqlUreHl5mR3Hs2fP8Ntvv2H8+PEF3tu0aRP8/f3RoEEDvPXWW3yWb2spy/EdOnQIgYGBqFOnDiZOnIjExET+XnnKPwDIyMiATCYr8FjUmvmnVqtx7ty5fJ8pAHTr1q3IYzl58mSB9bt3746zZ89Co9EUu4418wko3fH9m16vR1ZWFnx9ffMtz87ORrVq1VC5cmX07t0bFy5cECxuc5Xl+Jo2bYqQkBB07twZBw8ezPdeecq/tWvXokuXLqhWrVq+5baQf6VhS+dfuZuYUQoJCQkAgKCgoHzLg4KC8PDhQ76OUqmEj49PgXWM21tDQkICAgMDCywPDAw0O46NGzfCw8MDL730Ur7lI0aMQI0aNRAcHIwrV65g7ty5uHTpEg4cOCBI7OYo7fH17NkTgwYNQrVq1XD//n28/fbb6NSpE86dOwcnJ6dylX95eXmYM2cOhg8fnm9yNWvnX3JyMnQ6XaHnTVHHkpCQUOj6Wq0WycnJCAkJKXIda+YTULrj+7dPPvkEOTk5GDx4MF9Wt25dbNiwAQ0bNkRmZib++9//Ijo6GpcuXUJYWJigx1Cc0hxfSEgIvv76a0RFRUGlUuH7779H586dcejQIbRv3x5A0Xlsb/kXHx+P33//HZs3b8633FbyrzRs6fyrMIWXxYsXY8mSJcWuc+bMGTRr1qzU+5DJZPn+Z4wVWPZv5qxjDnOPDygYp6VxrFu3DiNGjICzs3O+5RMnTuSvIyIiEBYWhmbNmuH8+fOIjIw0K+2iiH18Q4YM4a8jIiLQrFkzVKtWDb/99luBQpol6ZrLWvmn0WgwdOhQ6PV6rF69Ot97YuZfcSw9bwpb/9/LS3MuiqW0sWzZsgWLFy/GL7/8kq/A2qpVq3yNyaOjoxEZGYmVK1fi888/Fy5wM1lyfOHh4QgPD+f/t27dGnFxcfj444954cXSNMVW2lg2bNgAb29v9O/fP99yW8s/S9nK+VdhCi9vvPFGiT0nqlevXqq0g4ODARhKpSEhIXx5YmIiL4EGBwdDrVYjLS0t3917YmIi2rRpU6r9mjL3+C5fvoxnz54VeC8pKalAabkwR48exc2bN7Ft27YS142MjISjoyNu375d5ouftY7PKCQkBNWqVcPt27cBlI/802g0GDx4MO7fv4+///67xCnthcy/wvj7+8PBwaHAHZnpefNvwcHBha6vUCjg5+dX7DqW5L8QSnN8Rtu2bcP48eOxfft2dOnSpdh15XI5mjdvzr+r1lKW4zPVqlUr/PDDD/z/8pB/jDGsW7cOo0aNglKpLHZdqfKvNGzq/BO0BU05Y2mD3Q8++IAvU6lUhTbY3bZtG1/n6dOnkjX4/Oeff/iyU6dOmd3gc8yYMQV6qRQlNjaWAWCHDx8udbyWKuvxGSUnJzMnJye2ceNGxpj9559arWb9+/dnDRo0YImJiWbtyxr516JFC/baa6/lW1avXr1iG+zWq1cv37JJkyYVaDDYs2fPfOv06NFDsgaflhwfY4xt3ryZOTs7l9h40kiv17NmzZqxcePGlSXUUinN8f3bgAEDWMeOHfn/9p5/jP2vYXJsbGyJ+5Ay/0zBzAa7tnL+UeGlEA8fPmQXLlxgS5YsYe7u7uzChQvswoULLCsri68THh7Odu7cyf9fvnw58/LyYjt37mSxsbFs2LBhhXaVrly5Mvvzzz/Z+fPnWadOnSTratuoUSN28uRJdvLkSdawYcMCXW3/fXyMMZaRkcFcXV3Zl19+WSDNO3fusCVLlrAzZ86w+/fvs99++43VrVuXNW3a1OaPLysri82YMYOdOHGC3b9/nx08eJC1bt2aVapUqVzkn0ajYX379mWVK1dmFy9ezNc9U6VSMcakyz9jV9S1a9eya9eusalTpzI3NzfeO2POnDls1KhRfH1jV81p06axa9eusbVr1xboqnn8+HHm4ODAli9fzq5fv86WL18ueVdbc49v8+bNTKFQsFWrVhXZZX3x4sVs37597O7du+zChQts3LhxTKFQ5CvQ2urxffbZZ2zXrl3s1q1b7MqVK2zOnDkMANuxYwdfx57zz2jkyJGsZcuWhaZpS/mXlZXFr28A2KeffsouXLjAeyHa8vlHhZdCjBkzhgEo8Hfw4EG+DgC2fv16/r9er2eLFi1iwcHBzMnJibVv375AqTs3N5e98cYbzNfXl7m4uLDevXuzR48eWemo/iclJYWNGDGCeXh4MA8PDzZixIgCXRf/fXyMMbZmzRrm4uJS6Ngfjx49Yu3bt2e+vr5MqVSyWrVqscmTJxcYK8UaLD2+58+fs27durGAgADm6OjIqlatysaMGVMgb+w1/+7fv1/o99n0Oy1l/q1atYpVq1aNKZVKFhkZma+mZ8yYMSwmJibf+ocOHWJNmzZlSqWSVa9evdDC9Pbt21l4eDhzdHRkdevWzXdxtDZLji8mJqbQfBozZgxfZ+rUqaxq1apMqVSygIAA1q1bN3bixAkrHlF+/9fOHZswEIJhGCadls7gGi7oCrfHzfenSFLlUqS7D55nAEFUeBHxn/ntvWvOWa21GmPUWqvO8/waM3X9ql63tL33Oo7jcrw7rd/nhujXfrvz+XtUvV/bAAAE8M8LABBFvAAAUcQLABBFvAAAUcQLABBFvAAAUcQLABBFvAAAUcQLABBFvAAAUcQLABBFvAAAUZ5KQoIiUheCrwAAAABJRU5ErkJggg==", "text/plain": [ "Figure(PyObject
)" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "drawTriangle( 0,0,1,4 );" ] }, { "cell_type": "code", "execution_count": 14, "id": "a47d40ef", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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