{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "hide_input": true, "tags": [ "remove-cell" ] }, "outputs": [], "source": [ "# for QR codes use inline\n", "%matplotlib inline\n", "qr_setting = 'url'\n", "#\n", "# for lecture use notebook\n", "# %matplotlib notebook\n", "# qr_setting = None\n", "#\n", "%config InlineBackend.figure_format='retina'\n", "# import libraries\n", "import numpy as np\n", "import matplotlib as mp\n", "import pandas as pd\n", "import matplotlib.pyplot as plt\n", "import laUtilities as ut\n", "import slideUtilities as sl\n", "import demoUtilities as dm\n", "import pandas as pd\n", "from importlib import reload\n", "from datetime import datetime\n", "from IPython.display import Image\n", "from IPython.display import display_html\n", "from IPython.display import display\n", "from IPython.display import Math\n", "from IPython.display import Latex\n", "from IPython.display import HTML;" ] }, { "cell_type": "markdown", "metadata": { "internals": { "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "# Matrix Algebra" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "hide_input": true, "tags": [ "remove-cell" ] }, "outputs": [ { "data": { "image/jpeg": 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\n", "text/plain": [ "" ] }, "metadata": { "image/jpeg": { "width": 250 } }, "output_type": "display_data" } ], "source": [ "display(Image(\"images/Arthur_Cayley.jpg\", width = 250))" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "Today we will talk about multiplying matrices:\n", "* How do you multiply matrices?\n", "* What does the product of two matrices mean?\n", "* What algebraic rules apply to matrix multiplication?\n", "* What is the computational cost of matrix multiplication?" ] }, { "cell_type": "markdown", "metadata": { "hide_input": false, "slideshow": { "slide_type": "slide" }, "tags": [ "remove-input" ] }, "source": [ "\"Arthur" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "-" } }, "source": [ "Early in his life, Arthur Cayley practiced law to support his passion for mathematics. During his time as a practicing lawyer, he published over 200 papers on mathematics. Finally at the age of 42 he got a position at Cambridge University and took a big pay cut so he could become a full-time mathematician. He said he never regretted the choice. Cayley often said, “I love my subject.”\n", "\n", "In 1855-1857 Cayley formed the theory of matrices, and came up with a way to multiply matrices. As we’ll see, it is not the most obvious thing to do, but it was quickly realized that it was the “right” way. Cayley came about this idea by first thinking about linear transformations, and how to compose linear transformations. So that’s where we’ll start.\n" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Composing Linear Transformations" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's start our discussion by recalling the linear transformation we called __reflection through the origin.__" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "Here is a picture of what this transformation does to a shape:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "hide_input": true, "internals": { "frag_helper": "fragment_end", "frag_number": 5 }, "slideshow": { "slide_type": "-" }, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 350, "width": 351 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "note = dm.mnote()\n", "A = np.array(\n", " [[-1, 0],\n", " [ 0,-1]])\n", "dm.plotSetup()\n", "dm.plotShape(note)\n", "dm.plotShape(A @ note,'r')\n", "plt.annotate(\"\",\n", " xy=(-0.75, -0.75), xycoords='data',\n", " xytext=(0.75, 0.75), textcoords='data',\n", " size=20, va=\"center\", ha=\"center\",\n", " arrowprops=dict(arrowstyle=\"simple\",\n", " connectionstyle=\"arc3,rad=0.3\"),\n", " );" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 5 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "We determined that the matrix $C = \\left[\\begin{array}{rr}-1&0\\\\0&-1\\end{array}\\right]$ implements this linear transformation. " ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 7 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "But notice that we could have accomplished this another way:\n", "\n", "* First reflect through the $x_1$ axis \n", "* Then reflect through the $x_2$ axis" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "hide_input": true, "internals": { "frag_helper": "fragment_end", "frag_number": 8 }, "slideshow": { "slide_type": "fragment" }, "tags": [ "remove-input" ] }, "outputs": [ { "data": { "image/png": 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gS0REBmq1fHz1qv3m4Yy4ixuR42PwJSIig5Ej5ePVq+UOD1Q+4+AbH89d3IgcEYMvEREZDBgg9+69dQvYvt2+83Em4eFA06biuKAA2LDBvvMhouIYfImIyECtBsaPl89XrLDfXJwRyx2IHBuDLxERmXj8cfl4yxYgLc1+c3E2xm3NuIsbkeNh8CUiIhNNm8odCgoLRYCjimnZEggNFcc3bwJ799p3PkRkisGXiIiKmTBBPma5Q8VxFzcix8bgS0RExTz8MODlJY5PnABOn7bvfJwJ63yJHBeDLxERFVOtmmlrs5Ur7TUT59OtG+DpKY5PnAAuXrTvfIhIxuBLREQlMi53YE/fivP1Bbp2lc+56kvkOBh8iYioROzpaz6WOxA5JgZfIiIqEXv6ms84+G7dCmRk2G8uRCRj8CUiolKxp695wsKA5s3FcWEhsH69fedDRAKDLxERlYo9fc3Xp498zHIHIsfA4EtERGViT1/zGJc7rF3LXdyIHAGDLxERlYk9fc1jvIvbrVvA7t3Wf89t24ApU0TQliTrvx+Rs2HwJSKiMhXt6bt0qd2m4lTc3Gxb7rBrF9C/P/DNN8C99wIDBwLHjln3PYmcDYMvERGVy7jc4fffuaFFRdmqrVlyMjB6NKDRyI9t2gS0bQs8/TSQlGS99yZyJgy+RERUrgEDgB495PPXXwc2brTffJxFt25ymcipU8CFC8q/R2Eh8NBDcrj19RWt6ABR7vDzz0CjRsB77wE5Ocq/P5EzYfAlIqJyqdXAqlVAq1biXKsFpk0TH69T6Xx8THdxW7NG+feYPl3eXMTNDfj2W/Fn1auXfE12NvDWW0CTJmLFXqdTfh5EzoDBl4iIKiQkBNiwAWjYUJwXFgKTJwOHD9t3Xo7OmuUOixcDX34pn0+bJlaZGzUC5s4F5s0Tx3pXrwKPPQZ07syd+Mg1MfgSEVGFhYWJ2tF69cR5bi7w7LPs9FCWoru43bmjzLj//ivqd/XuuQd45hnTa3r2FPXY77wDVK8uP37ggFgRHj3aOuUXRI6KwZeIiColMlLU9+pbdWVkAE8+CVy8aN95KSk/X6xunz1r+Vi1agEtWohjjUaZXdzS00WnDX3Nbv36wIcfAipV8Wvd3UVLug0bgIkTAU9P+bm//hI7zP31l+VzInIGDL5ERFRpTZqIIBUUJM5v3QKeeAK4ft2+81LCgQPAffeJfrijRwNXrlg+ppLlDjqdKFfQr9T6+ooWZv7+Zb/O3x/473+B2Fhg2DD58YICEYwZfskVMPgSEZFZ2rYVGyX4+orzpCQRfm/etOu0zJaVBcyaBYwdC1y6JB7Lz1emdVvRXdyM245V1vvvm94k97//yXXXFVGnDvDpp8CSJUBUlHhMq2X4JdfA4EtERGbr1k10ENB/fH7pkih7UKqO1Vbi48WmD4sXF39OiV3QWrQAatYUx2lp5u/itm4dMHOmfP7UU8CQIeaN1bYtsHChKJMAGH7JNTD4EhGRRQYMAP7v/+TesWfOiBvesrPtO6+KSEsDXnpJ1L4mJ8uPDxsG+PmJ44sXxa/JEiqV5eUOkgRMmiSH8M6dRemCJWrWBH77jeGXXAeDLxERWWzkSGD+fPn8yBHR6iw/325TKpMkifA5dKhp2UBoqAjxq1eLOl+9dessf09Lg69KJfr06rVsKW5csxTDL7kSBl8iIlLE+PHiJiu9PXuA558H9u0TPX8dRVIS8NxzwMsvA7dvy48/9pjYXe3hh0XIfOgh+bl16ywvd+jaFfD2FsenTwPnz1d+jFmz5ONff1WuFRnDL7kKBl8iIlLM88+Lm6/0tm+XN0x4/nlRQ3v1qn3mptMBf/whannj4+XH69UTdby//Wba63bwYCAgQBxfvixCsSW8vU13cTNn1fexx4Du3cWxRiO2IbY0kOsx/JIrYPAlIiJFvfYa8Oqrpo9lZ4uNL2bNAvr3F6HyvffEhg65udabi1YrbrjbtEmExtmz5dpjlQr4z3+AEydKvkHM2xsYMUI+X7vW8vn06ycfm1vu8O23csnDrl2iPZlSGH6pqlNJSv2oWDl2eVMiIkcUExMDADh48KCdZ6KsjRtFYIqNFSumpfH0BDp2FLuM9ewJREeXvBFDWbRaIDFRlA+cPw+cOyfKABISSq4zbtIE+PlnefW0NH//Ldf61q0rAnRl52YsNVX8GgFRn3vjBlCtWuXHmToV+PprcVyrlijF0N+Mp4TUVFG6ot+URK0W7c9GjVLuPYgqwIK/baUMyOBLRGRfVTX46kmS2AEtNlbsWrZlC5CXV/r1YWFyCO7aFQgMlJ+rbMAtyt1drEa/+aZcb1uW/HwRLPXt2ZYuBVq3Lv91ZRk1Cjh+XBwvXgw88kjlx0hPF+E9NVWcP/OMqFlWUknh959/gEGDlH0fojIw+BIRVTVVPfgWlZsran/Xrxdh+OTJ0q9Vq4E2bYDw8MoFXGO1a4s+ui1bih7DrVpV7vUTJogbyQDx+qJlHJX1zTfyau2YMcCiReaN89tvwOOPi2N3d9GJIjrasrkVVTT8tm4tOnZYsupNVAkMvkREVY2rBd+iEhPlELxxI5CRYd44tWsDzZuLkKv/at4cCA62bH5r14ob4gARwDdvtiz4nTwp2r8BYm6pqea1JZMksSq+c6c479oVWLBA+VCakiJWefW12PHxQO/eyr4HUSkYfImIqhpXD77GCguBvXvlIHzgQPFrwsKKh9vmzYGQEOvMqaBAvKe+9dmSJWLXM3NJEtCnj7xhhiVB8uhRoH170bECAL74wvyd3Moyc6bobwyIUo1ly5R/D6ISKB582dWBiIgchocH0KMH8O67wP79YjX0//4PmDtXlEfcuiX68G7aBHz5pdghrkcP64VeQNx8p1+hBSzfzEKlEsFXz5zuDnpt2ojOFHoffGCdHfPGjZOPV6wArlxR/j2IbIHBl4iIHFZoqGin9fTT1g+4ZXn4Yfl43Tp5hdVclu7iZmz2bNGGDBBlCXPmWDZeSRo1knsQ63TAd98p/x5EtsDgS0REVI6+feXNLVJSgMOHLRuvSxe5q8TZs+LLXNWqAZ98Ip8vXmy6QYdSHntMPp4717r9l4mshcGXiIioHB4epj1sLS138PYGunWTz9essWy8ceNMyzFef12UhSipTx/RyxgA0tLELnhEzobBl4iIqAIeekg+jo0VPYUtYekubsZUKuCnn0RnC0CE3jfeUG47Y0C0ljOu9f3qK2XHJ7IFBl8iIqIK6N1b1BwDYsc1S5twGHdy2L5d7hphrho1gF9+kc+3bJE7MShl1CjAx0ccHzsGbNum7PhE1sbgS0REVAHu7sDo0fK5peUONWvKm2lotWIV2VIDBwIvvCCff/ih2PhDKYGBwIgR8vlXXyk3NpEtMPgSERFVkHG5w/r1lpc7KNndQe/DD0V/Y0BsDT19uuhFrBTjm9xWrmRrM3IuDL5EREQV1LOn2MwCEHW0+/ZZNp5xne+6dWIDD0t5e4sbzzw9xfmJE2KbZKU0bCjfmMfWZuRsGHyJiIgqSK1WttyhaVP5hrT0dHn7YUu1bi02s9D76SexIYhSjG9yY2szciYMvkRERJVgvJnFhg2ARmP+WEru4lbUiy8C/fuLY0kCXnkFyMxUZmy2NiNnxeBLRERUCd26AeHh4vj2bWDvXsvGs0adLwC4uYkuD8HB4vz6dbHLmxLY2oycFYMvERFRJbi5AQ8+KJ9bWu7QpQvg6yuOz50DzpyxbDxjdeuKMge9v/+2fLMMvaKtzU6eVGZcImti8CUiIqok43KHjRstuynNy8t0FzclV30BUZM8YYJ8PmuWMiUPgYFA+/by+eXLlo9JZG0MvkRERJXUuTNQr544Tk8Hdu+2bDxrlTvoffUVEBUljjMzxYYZStBv6AEASUnKjElkTQy+REREleTmZtrT19Jyhz59xI1ugOjskJZm2XhFBQQAjz8un1sj+CYnKzMmkTUx+BIREZnBOPhu3GjZJhE1aogWZIDYFMPSIF2SQYPk4x07lLkZrUYN+ZjBl5wBgy8REZEZOnY0LR+wtAevtcsdOnYEqlUTx6mp4kY6S7HUgZwNgy8REZEZVCplyx2Mg29srDK7uBlzdwcGDJDPd+ywfEyWOpCzYfAlIiIyk3HwjYsD8vPNH6tJE7k/8J07ytXhGita7mAp41IHrviSM2DwJSIiMlP79kB0tDjOyrIsrKpU1i93MA6++/dbvtVw0RVfbmJBjo7Bl4ioApYtW4YpU6agZ8+eCAwMhEqlwjjjravIJVmz3OHvv5UPkvXqAc2bi+OCAmDfPsvG8/cHvL3FcU6OclsiE1kLgy8RUQW89957+Oabb3DkyBHUqVPH3tMhB2K8mcXmzUBenvljde4s7+J24QJw+rRlcyuJkuUOKhU7O5BzYfAlIqqAzz//HGfPnkVGRga+//57e0+HHEjr1kDjxuI4JwfYts38sTw9gR495HNrlzsofYMb63zJ0TH4EhFVQN++fdGoUSOo9LsMEN1VtNxh7VrLxrN2nW+vXnJ5QkICcP26ZeOxswM5EwZfIiIiCxmXO8THi5Vfc/XuLe/itmsXcOuWRVMrxsdHhF89S1d9WepAzoTBl4jIRmJiYkr8OnXqlL2nRhZq0QJo1kwc5+YCW7eaP1b16kCbNuJYp7PNLm6WYEszciYMvkRERBZSqUxXfZXu7qC0yEj5+PZty8aqWVM+5oovOTp3e0+AiMhVHDx4sMTHY2JibDwTsoaHHgJmzRLH8fFAdjbg52feWH37Ap9/Lo5jY0XrMU9PJWYpxMfLx61bWzZWQYF87M5UQQ6OK75EREQKaNYMaNVKHOfnA1u2mD9W48aAvmteRobyu7ht3iwfd+1q2VgpKfJxvXqWjUVkbQy+REREClFqMwtr7uKWlAScPCmOPTwASz9wMK7rrVvXsrGIrI3Bl4iISCHGwXfbNrGNsbmstYub8Wpvu3aiy4MljOt6ueJLjo7Bl4iISCGNGwNt24rjggIgLs78sTp1kndxS0gAlGr+YTynzp0tH884+HLFlxwdy9CJiCpg5cqVWLlyJQAg+e6/9Lt378aECRMAADVq1MAnn3xip9mRI3noIeDIEXG8bh0wYoR543h6Aj17AuvXi/O//waaN7dsbpJkGnwtre+VJK74knNh8CUiqoAjR47g119/NXksISEBCQkJAIDIyEgGXwIggu/rr4vjHTvEzWmBgeaN1bevafB99VXL5paQAFy5Io59fS3v6HD7ttzVITAQCAiwbDwia2OpAxFRBcyaNQuSJJX6denSJXtPkRxEdLR8w1hhoWXlDsa7uO3eDdy8adncjOfSsaO4uc0SLHMgZ8PgS0REpDDjm9zWrjV/nJAQuWZYp7NsLEDZMgeAZQ7kfBh8iYiIFGYcfHftAtLTzR+rXz/52JK2ZjqdaW/hLl3MH0uPrczI2TD4EhERKSwqSnRlAACNBti0yfyxjNuarV9vulNaZRw/Dty4IY6Dg4EmTcyfkx43ryBnw+BLRERkBQ8/LB9bsplFw4byampmJrB1q3njFG1j5qZAAuCKLzkbBl8iIiIrePBB+Xj3biAtzbxxlNrFTen6XkDuEAFwxZecA4MvERGRFdSrB3TrJo61WmDjRvPHKlrnW9ld3AoLTVeKlQi+Z8/K/YpVKqBFC8vHJLI2Bl8iIiIrMb7JzZJyhw4dAH9/cXzpEnDiROVef+CAvH1y7dpARIT5c9FbsEA+HjkSqFPH8jGJrI3Bl4iIyEpGj5b78O7da34fXk9PoEcP+byy5Q4bNsjHXbvKczLXjRumc3jpJcvGI7IVBl8iIiIrqVNHDqw6nWkArSxL6nyXLpWPjQO0uX7/XZRPACJI60s6iBwdgy8REZEVKVXu0Lu33Ilhzx4gNbVirzt+XC6N8PExDdDmyMkB/u//5HOu9pIzYfAlIiKyIuNyh/37Kx5YiwoOBtq1E8eSVPEQbRxS+/YFfH3Ne3+9FSvkDTkaNADuv9+y8YhsicGXiIjIisLCxGotIAKrLcsdJMk0+N57r/nvDYjuFL/8Ip+/+CKgVls2JpEtMfgSERFZmfFmFmvXmj+OcVuz9euB/Pyyrz94ELhwQRz7+wM9e5r/3gCwebPcu7daNeCJJywbj8jWGHyJiIis7IEH5PrcgwdNt/qtjAYN5FZkWVnl7+JmvNp7zz2Al5d576s3f758PGmS3GKNyFkw+BIREVlZzZqmZQqxseaNU5ld3HQ6YMkS+XzoUPPeU+/oUeDQIXHs4QH85z+WjUdkDwy+RERENmBc7mBJd4eiwbe0Xdx27QKuXhXH1apZvlub8WrvmDFAeLhl4xHZA4MvERGRDYwcKd8IdvgwcP26eePExMglBpcvi3ZlJTEucxg0SKzSmisx0fSmvP/+1/yxiOyJwZeIiMgGatQABgyQz80td/D0NL1JraRyB43GdNMKS7s5/PqrKJ0ARK1w69aWjUdkLwy+RETkVCRJQmZmpr2nYRalNrMor853yxa5X3BoKNChg/nvlZ4O/PWXfP7yy+aPRWRvDL5ERORUXn31VQQGBmLcuHG4qi9idRL33w+4u4vjY8dECYE5evWSu0Ts3Vt8UwzjMochQyzrtfv552K3NgBo1Uqs+BI5KwZfIiJyGmfPnsVnn30GAFi0aBEaN26M2bNnI0efzBxcSAgwcKB8bm65Q3Aw0L69OJYk4J9/5Ofy84Hly+VzS8ocDh82DdGzZsm70BE5IwZfIiJyGq+//jq0Wi18G3eDb5PuyM3NxaxZs9CkSRP88ccfkEprceBArF3usGGDvKVwnTpAmzbmjV9YCLz9tnw+fLi4QY/ImTH4EhGRU9izZw/++usvqNy9EDzgWYTe/xpqPfoBPGo2wNWrVzF27Fh0794d+/bts/dUyzRihLhBDQBOnBCdGcxhHHw3bADy8sSx8Qrt0KHmr9AuWACcPSuO/fyAb77hai85PwZfIiJyeJIk4dVXXwUABHS4D+4BNQAA3hGtUPvxzxEyeCrcfKth9+7d6N69O87qE5sDqlZNtBfTM7fcoUEDIDJSHGdnA/HxohZ31Sr5GnPLHBITgW+/lc/feUfeMY7ImTH4EhGRw1u7di22bdsGN+8ABHUZbfKcyk2NgDYDUeO+6QAAtVqNwMBAe0yzwow3s1i71rwxStrF7Z9/RAgGgPr1gaZNKz+uJIlaXv0Kctu2wNSp5s2RyNEw+BIRkUPTarWYMWMGACCo28Nw8/Irdo0kSbizS3zG/8ILLyAsLMymc6ys4cMBLy9xfPo0kJBg3jhFg+/ixfL5vfeaV5qwbh2wY4c4VqmAn36SO1EQOTsGXyIicmgLFy7E8ePHoQ6qhYB2JX92n5dwEPlX/kVwcLAhJDuywEDRZkzP3JvcYmKAgABxnJgIrFwpPzd0aOXHy8gA3n9fPv/Pf4COHc2bG5EjYvAlIiKHlZ+fj7fvthao1nMcVO7F992VdFrc3voLANH1ITg42JZTNJtxuYO5db4eHqKnr56+qUXTpkB0dOXH+/RT4OZNcRweDrz3nnnzInJUDL5EROSwFi9ejMTERHiERsGvee8Sr8k+GY/CG5cQERGB//znPzaeofmGDQN8fMTx2bPA+fPmjWNc7qBnzk1tRXv2fv21WJkmqkoYfImIyCFJkmTYrCKw00ioVMX/yZI0BUjf/jsA4N1334W3t7dN52gJf3/TgGpuuUOvXsV3ZjMuo6gI9uwlV8HgS0REDikuLg7//vsv1P4h8GvWq8RrMg+tgTbjBlq1aoWxY8faeIaWK7qZhTn7bwQFiVpfvTZtgHr1KjcGe/aSq2DwJSIih/Tpp58CAALaD4NKXby2V1eYhzt7lgEAPvroI6iLLns6gXvvBXx9xfGFC3L4NGccvQceqNxr2bOXXAkblBARkcM5ceIEYmNjofLwgn/bkj+3zz6xBbrcDHTs2BGDBw+28QyV4esrygqWLBHn69YBTZpUfpwHHwS0WrFKa7yKXB727CVXwxVfIiJyOJ9//jkAwK/lAKh9Aoo9L0k6ZOxfCQB46aWXoHLiz+WVKHdQq4GxY4ExYwC3SvzLzp695GoYfImIyKGkpKTg999/B1QqBHa4r8Rrci8cgCbtGiIiIjBq1Cgbz1BZQ4aIG90A4NIlsaGFLbBnL7kiBl8iInIo3333HfLz8+HTsDM8QuqUeE3G/hUAxC5t7k6+ROnjA9xnlO/N7e5QWezZS66IwZeIiBxGbm4uvvvuOwBAYMf7S7wmP/k88q/8i4CAADz11FM2nJ31GG9msXateeUOlcGeveSqGHyJiMhhLFy4EDdv3oRnWCN41W1R4jWZd2t7n3nmGQQFBdlwdtYzcKAcPBMTgRMnrPde7NlLrozBl4iIHIJOpzPc1BbY8f4Sb1jTZNxE9untUKvVmFqF2g94ewMjRsjna9da773Ys5dcGYMvERE5hHXr1uH06dNQB4TCt0n3Eq/JPPQ3oNNi9OjRiIyMtPEMrcu43CE21jrlDuzZS66OwZeIiByCfnvigJjhUKmL37CmK8hF1pFYAMB///tfm87NFu65B6hWTRxfuwb8+6+y47NnLxGDLxEROYAjR45g8+bNUHn6IKDtoBKvyTq2Ebr8bPTo0QOdOnWy8Qytz9PTtNZW6XIH9uwlYvAlIiIHoF/t9W89EG5efsWel3RaZB5YBaBqrvbqGW9mERsL6HTKjMuevUQCgy8REdnVtWvXsHjxYkDlhoCY4SVek3NuDzR3UhAdHY377it5U4uqoH9/ICREHCclAUeOKDMue/YSCQy+RERkVwsXLoRGo4Fv467wqBZW4jWZ+8SGFS+++CLUarUtp2dTHh7AAw/I50psZsGevUQyBl8iIrKrv/76CwDg16Jvic/nXzuF/OunERwcjCeeeMKWU7MLJcsd2LOXyBSDLxER2c2VK1dw4MABqDy84B3VrsRrMg6sBgBMnDgRfn7F63+rmr59gRo1xHFqKnDokPljsWcvkSkGXyIispsVK0QJg0+DDnDz8Cr2vC4/B7nn9kClUuH555+39fTswt0dGDVKPje33IE9e4mKY/AlIiK70Zc5+DbuVuLzuQkHIWkL0a1bN9StW9eWU7Mr480s1q8HtNrKvZ49e4lKxuBLRER2kZKSgh07dkCldodPdMm9tXLO7gIAjDJeAnUBvXoBtWqJ4xs3gAMHKvd69uwlKhmDLxER2cWqVasgSRK8o9rBzcu32POSpgC5F/YDAEa62B1ZajUwerR8XpnNLNizl6h0DL5ERGQXy5cvB1BGmcPFw5AK89C+fXtERUXZcGaOwbi7w4YNgEZTsdexZy9R6Rh8iYjI5m7fvo24uDhA5QafhiVvP+yqZQ563bsDtWuL47Q0YP/+8l/Dnr1EZWPwJSIim1uzZg00Gg28I1pC7RtU7HlJq0Hu+b0AgAeMd3RwIWo18OCD8nl55Q7s2UtUPgZfIiKyufLKHPKu/AtdXhaaN2+Opk2b2nJqDqVouUNhYenXsmcvUfkYfImIyKays7MRGxsLAPBp1LXEa3LO7gTguqu9el27AvoubunpwJ49JV/Hnr1EFcPgS0RENrVu3Trk5eXBK7wp3AOqF3te0mmRc04kPFet79VzczMtdyhpMwv27CWqOAZfIiKyKX2Zg08pZQ75109Dl52O+vXro02bNracmkMyLnfYuBEoKDB9nj17iSqOwZeIiGwmPz8fa9asAQD4Nik5+OacEd0cHnjgAahYpIrOneWyhYwMYPdu+Tn27CWqHAZfIiKymU2bNiEzMxMeNRvAo1pYseclSXL5NmZFqVSmq77G5Q7s2UtUOQy+RERkM6tWrQIA+DYu+aa2guTz0GbcQHh4ODp37mzLqTm0hx+WjzdtEuUO7NlLVHkMvkREZDO7donVXJ+odiU+r1/tHTlyJNzc+E+UXkwM0KCBOM7MBOLj2bOXyBz8rkJERDaRmZmJkydPAm7u8KzVoMRrci+I7clGMsWZKFruMGUKe/YSmYPBl4iIbOLgwYOQJAmeNetD5e5Z7HldYR4Kb16BWq1Gt24l3/jmyoyDrzH27CWqOAZfIiKyiX379gEAPGs3LvH5wtRLgKRDs2bN4OPjY8OZOYe2bYGGDYs/xp69RBXH4EtERDahD75epQTfgpQLAID27dvbbE7OpKRSBvbsJaocBl8iIrKJigbfmJgYm83J2bRsaXretq1dpkHktBh8iYjI6pKSkpCYmAiVpw/cq9cp8Rqu+JZv+XJA/9tz9Srg4WHf+RA5G35AQkREVrd/v+jW4FW7EVSq4msukqYQBTcuQ6VSoS2XMUulUgEHD9p7FkTOiyu+RERkdeXd2FZw8zKg06BJkybw9/e35dSIyIUw+BIRkdWVW9+bfB4AyxyIyLoYfImIyKp0Ol35K76s7yUiG2DwJSIiqzp37hzu3LkDtX8I3ANqlHhNQQpXfInI+hh8iYjIqk6dOgUA8KxZ8jbFklaDgtRLAIB27drZalpE5IIYfImIyKoSEhIAAO7BtUt8vvBWIqAtRHR0NKpVq2bDmRGRq2HwJSIiqzIE36CwEp9nfS8R2QqDLxERWZUh+FYrJfje7ejAHduIyNoYfImIyKrk4FurxOe54ktEtsLgS0REVqPVanHx4kUApZc6aO6kAgCaNGlis3kRkWti8CUiIqu5fv06CgoKoPYLhpund4nX6PKyAADVq1e35dSIyAUx+BIRkdWUV9+rK8yHpMmHl5cXfH19bTk1InJBDL5ERGQ1V69eBQCoA0NLfF6/2hsSEgKVSmWzeRGRa2LwJSIiq0lLSwMAqH0CSnxel5cJQARfIiJrY/AlIiKr0QdfN+9Sgm8ugy8R2Q6DLxERWU25wZcrvkRkQwy+RERkNYbg6+Nf4vPaXLnGl4jI2hh8iYjIauQV35KDr37Fl63MiMgWGHyJiMhqWOpARI6EwZeIiKzm9u3bAAA1b24jIgfA4EtERFaTnp4OAFB5lbw5BYMvEdkSgy8REVmNVqsFAKjU7iU/n8eb24jIdhh8iYjIanQ6XdnPs8aXiGyIwZeIiKzGEHxVJf9zo7vbzoxdHYjIFhh8iYjIaiRJAgCoVKoSn9flZwMAAgMDbTYnInJdDL5ERBV09epVPPnkkwgPD4eXlxeioqLw4osvGjoXUHHlrfiqPDwBALm5ubaaEhG5MAZfIqIKuHDhAmJiYrBgwQJ06tQJ06ZNQ4MGDfDll1+ia9euuHXrlr2n6JDk4Fvyiq+bp+j2kJGRYaspEZELY/AlIqqAyZMnIzU1FV999RVWrlyJDz/8EJs3b8a0adNw5swZvPHGG/aeokMqN/h6MfgSke0w+BIRlSMhIQEbNmxAVFQUnn/+eZPnZs+eDT8/PyxcuBDZ2dl2mqHj0tf4lkbFFV8isiEGXyKicmzevBkAMHDgQLi5mX7bDAgIQPfu3ZGTk4M9e/bYY3oOzc/PDwAgFeaX+DxXfInIllTl/TSu+BuqVIvat28/xqZvSkRkgWvXriElJQV16tRBrVq1ij2fmJiIGzduoF69eggNDS11nFOnTpX4eF5eHry9vdGsWTPF5uwojh8/joKCAoQ/OxcewbWLPX9zzafIPrEFkZGRbGlGRCYOHTr0hyRJY5Uc0x4rvoNL++ZPjunUqVOl/oNNjol/ZsrS7z6mVqtLfF7/uP66ypIkCXl5eeZNzsHpf2+kgpwSn9ev+Jr7e2cv/DvmfPhn5lzu/lkNVnrckveQtK5LzZo1Czl48KAd3prMERMTAwDgn5nz4J+Zsp599lnMnTsXb731Fp5++uliz7/++uv44IMPMGXKFMyYMaPS4/v6ivBXFf+8evXqhe3bt0OXX3Lw1df4Tpw4EW+++aYtp2YR/h1zPvwzcy4xMTE4dOjQJaXHZY0vEVE5goKCAAB37twp8Xl9far+OpLpN6YoLfiyxpeIbInBl4ioHE2aNAEAnD17tsTnz507BwBo3LixzebkLAzBt7RSB3Z1ICIbYvAlIipH3759AQAbNmyQ+9LelZmZiZ07d8LHxwddunSxx/Qcmn4VXCqt1IErvkRkQwy+RETliI6OxsCBA3Hp0iV8++23Js/NnDkT2dnZGD9+vKF1F8nkUoeSexxzxZeIbMkeN7cRETmd7777Dt26dcPUqVMRFxeHZs2aYe/evdiyZQsaN26M999/395TdEhhYWEAAG1WWonPs8aXiGzJ5sFXkqQYALZtHkwW4R2wzod/ZsqLjo7GgQMH8PbbbyM2NhZr165F7dq1MXXqVMycORMhISFmj10V+/fqRUREAAA0GTdKfN5Zgy//jjkf/pk5l7t/XjFKj8sVXyKiCqpXrx4WLFhg72k4FTn4ppb4vL6dWWkdM4iIlMQaXyIishp98NWWsuKr9gsGoMK1a9dQUFBgw5kRkSti8CUiIqupWbMmvLy8oMvLKrGXr5unN9yDw1BYWIjTp0/bYYZE5EoYfImIyGpUKlW5db6eofUBAMeOHbPZvIjINTH4EhGRVZVX7uARGgWAwZeIrI/Bl4iIrKq8G9w8a3LFl4hsg8GXiIisSr+Vc+HNKyU+78HgS0Q2Yvfgm5iYiMmTJ6Nz584ICwuDl5cXwsPD0bNnTyxYsACFhYX2niIZOXfuHD766CP069cP9erVg6enJ2rVqoURI0Zgy5Yt9p4elaCwsBBffvklnnjiCbRt2xaenp5QqVSYN2+evafm8q5evYonn3wSx44dw+HDhxEVFYUXX3wRt2/ftvfUFNW+fXsAQEHKhRKfdw+qCZWnD5KSknDjRsnlEI5g2bJlmDJlCnr27InAwECoVCqMGzfO3tOiUty6dQvz5s3DyJEj0bBhQ/j4+CAoKAg9evTAzz//XGz7cXIMr776Kvr374969epBpVLlqlSqNJVKdVilUs1UqVTVLR1fJUl22UvC8Kbx8fEYMWIEOnfujAYNGiAkJAS3bt3CunXrkJiYiD59+mDjxo1wd2fLYUfwyCOPYMmSJWjevDl69OiBkJAQnDlzBqtXr4ZWq8WXX36JqVOn2nuaZCQ9PR3BwcEAgFq1asHT0xOJiYmYO3cunn76aTvPznVduHAB3bp1Q2pqKoKCguDt7Y3mzZtjy5YtaNKkCXbu3Inq1S3+Hu8Qbt68idDQUKg8vFDvxT+hclMXuyZ54cvIv34amzZtQv/+/e0wy/K1bdsWR48ehb+/P+rWrYvTp09j7Nix+P333+09NSrBDz/8gEmTJqF27dro27cvIiIikJKSguXLl+POnTsYNWoUli5dCpVKZe+pkhFPT0+0b98ezZs3x4IFCz4C4AegC4AOAK4D6CJJUqLZbyBJkj2+DPLz8yWtVisVVVBQIPXp00cCIC1ZsqTY82QfCxYskA4dOlTs8fj4eMnDw0Py9PSUrl+/boeZUWny8/OltWvXGv5cZs6cKQGQ5s6da+eZubaBAwdKAKSvvvpKat++vdS+fXtJkiRp2rRpEgBp4sSJdp6hsiIiIiQAUu2nvpMiX11T7Mu/7WAJgPTZZ5/Ze6ql2rx5s3T27FlJp9NJW7ZskQBIY8eOtfe0qBRxcXHS6tWri2WMpKQkqV69ehIAadmyZXaaHZUmNzfX+NSQHQG8D7Fw+p1kQQa1e6mDp6cn3NyKT8PDwwP3338/APHxOjmGCRMmoF27dsUe7927N/r06YOCggLs2rXLDjOj0nh6emLIkCGoXbu2vadCdyUkJGDDhg2IiorC888/b/Lc7Nmz4efnh4ULFyI7O9tOM1ReeeUOnjUbAHDsOt++ffuiUaNGXCF0Ev369cPw4cOLZYywsDA899xzAMSnzuRYvL29S3vqz7v/bWTJ+HYPvqXRarVYu3YtAKB169Z2ng1VhIeHBwCwLIWoHJs3bwYADBw4sNg/ygEBAejevTtycnKwZ88ee0zPKmJiYgAABcnnS3yeLc3IlvjvlVMafve/Fn2TcJg/8Zs3b+Kbb76BJEm4ceMGNm7ciPPnz2PMmDEYNmyYvadH5bh8+TLi4uLg6+uLXr162Xs6RA7tzJkzAORuB0U1atQIGzZswNmzZx223rWyyl3xDY0EAJw4cQIajYaBhKxGo9Hgt99+AwAMHjzYzrOh0nzyySeYPn36LABBEPW9PSBC74eWjOsw31lu3ryJ2bNnG85VKhVefvll/O9//+PHSg4uPz8fY8eORX5+Pj7++GPDjVREVLI7d+4AAIKCgkp8Xv94enq6raZkdcbBV5J0UKlMV7rdvPygDqqF/DspOHv2LJo3b26PaZILmDFjBo4fP46hQ4di0KBB9p4OleKTTz4BgJlGD8UCmCBJkkWtXxQpdVCpVJdUKpVU0a+S2r80bdoUkiRBo9Hg8uXL+Pzzz/HTTz+hV69eSEtLU2KadFdUVBRUKlWFv8pq16PVavHYY49h586dePjhh/Hyyy/b8FfiOpT8MyPHd/dGjir1Q39YWBjCw8MhFeRCczupxGs8We5AVvbVV1/h008/RdOmTbFw4UJ7T4fKkJycDEmSVADCADwAoAGAwyqVqr0l4yq14nsBQF5FLw4PD29S2nNqtRoRERF44YUXUKtWLTz66KN4++238c033ygyUQKio6PLKh4vJjw8vMTHtVotxo0bh6VLl+Khhx7C77//XqX+oXYkSv2ZkWPQr+jqV36LysjIMLmuqmjfvj2uX7+OguTz8AipU+x5z5r1kXt+L44dO4ZHHnnEDjOkquzbb7/FCy+8gObNmyMuLg4hISH2nhJVgCRJKQBWqFSqQwDOAvgNQEtzx1Mk+EqSVNkitAo1Dx4yZAgA3nWptLi4OIvH0Gg0GDNmDJYuXYoxY8bgt99+g1pdvDcnKUOJPzNyHE2aiJ/9z549W+Lz+k42pdUAO6uYmBisWbMGBSkX4Ne8d7Hn9Tu4VaWb+sgxfPHFF5g2bRpatmyJuLg41KxZ095TokqSJOmySqU6CaCtSqWqIUnSTXPGcdiuDgBw7do1ALzr0tEUFBRg9OjRWLp0KcaPH4+FCxcy9BJVQt++fQEAGzZsKLZ7VGZmJnbu3AkfHx906dLFHtOzmvJucPOOaA2o3LB9+/YqVd9M9vXRRx9h2rRpaNu2LbZs2cLQ69z0H2dqzR3A7sF37969yMnJKfZ4VlYWXnjhBQDAvffea+tpUSny8/MxcuRIrFq1Ck899RQWLFhQYh9mIipddHQ0Bg4ciEuXLuHbb781eW7mzJnIzs7G+PHj4efnZ6cZWkeHDh0AAPnXT0PSFBR7Xu0TAK96LaDRaLBu3TpbT4+qoHfffRczZsxATEwM4uLiUKNGDXtPicpw+vRpJCcnF3tcpVK5qVSq9wHUBLBLkiSz93W3+5bF999/P+Lj49G7d29ERETA19cXiYmJWLduHdLT09GtWzesX78e/v7+9pgnFfHEE0/gl19+QY0aNTB58uQSa3r79OmDPn362H5yVKoPP/wQp0+fBgAcOXIER48eRbdu3dCokegD3qNHD25fbGNlbVncuHFj7Nq1q8psWWysXbt2OHLkCGqOngmf6I7Fns/YvxK3N8/DI488gsWLF9thhqVbuXIlVq5cCUDceLN+/Xo0aNAAPXv2BADUqFFDfyc6OYBff/0VEyZMgFqtxpQpU0qsmY+KisKECRNsPzkq0RdffIHp06ejV69eiI6Oxty5cz8EUAtAb4ib25IB9Jck6aS572H3GoJnnnkGfn5+2L9/P+Lj45GTk4Pg4GDExMTgoYcewpNPPslSBwdy8eJFAKL93DvvvFPqdQy+jiU2NhZbt241eWzXrl0mu+wx+NpWdHQ0Dhw4gLfffhu///477ty5Ay8vL0ydOhUzZ86ssjfejBgxAkeOHEHO+b0lBl+fhp1xe/M8rF27FgUFBfD09LTDLEt25MgR/PrrryaPJSQkICEhAQAQGRnJ4OtA9P9eabVafPHFFyVe07t3bwZfBzJgwAA8++yz2LlzJ44ePQoA0wFkQ9zUthDAV5IkWdTqy+4rvkRErk6/q9nBgwftPBPrO3ToEGJiYqD2D0Gdyb8U6+cLANd/nozCm1ewceNGDBgwwA6zJCIHoXirKBZnEhGRzbRr1w5169aFNiut1O2LfRp2BgCsWrXKllMjIhfA4EtkDZIkvojIhEqlwn333QcAyDm3t8RrfBuJbharV6+GnT6VdHg6SVf+RURUDIMvkdI0GmD0aMDNDZg61d6zIXI4I0aMAADkni85+HrWbgQ3v2q4cuUKd3ErQifpoJqtgvodNXZc2WHv6RA5HQZfIqX9+COwfLk4/vprYNs2+86HyMH07t0bAQEBKLxxCYXpJbUucoNvdCcALHcoquNc+YbAngt6olBbaMfZEDkfBl8ipa1fb3ru62ufeRA5KC8vL8POnKWt+voYlTuQrEBr2v9488XNdpoJkXNi8CVS0rp1wN9/mz7Gf7iJitHX+ZYWfL0j20Dl7oWDBw/i6tWrtpyaw9JJOtzONe3bP+mfScgpLL4JFBGVjMGXSCk5OcDkycUf//NP3uhGVMTQoUOhVquRd+U4tHlZxZ538/CCd/12AIC/i/4w6aJ2J+7GtcxrJo9dTL+I97a9Z6cZETkfBl8ipbzzDnDpkjj29pYfP3MG4A06RCaCg4PRq1cvQNIhL+FAidf43m1rxnIHYcmJJYZjN6P+x3N2zcHx1OP2mBKR02HwJVLCv/8Cn34qn7/1FjBsmHz+55+2nxORg9N3dyitrZnY2U2FzZs3IzMz04YzczxanRbLTi4znP9838+IqS02PtHoNJi4ZiJbnBFVAIMvkaV0OuDZZ0UbMwDo2BEYNQoYOlS+ZskSljsQFWGo8004AKmE7gRqv2rwqtMUBQUFWLduna2n51B2XNmBpKwkAEB1n+roVKcT3un7DjzcPAAAuxJ3Yd6hefacIpFTYPAlstRPPwF79ohjDw9g9mxApQJ69AD8/cXjFy4Ahw/bb45EDqh+/fpo1aoVpIJc5F0p+aN63yY9AAALFiyw5dQczp8n5E+NBkYPhLubOxqGNMRT7Z8yPP7qpleRnFW8PRwRyRh8iSyRlATMmCGfP/MMEB0tjr28gP795eeWLAERmZK7O+wp8Xm/ln2hUntg/fr1uKSvoXcxGp0Gy07JZQ5DGg4xHE/qMAkRQREAgPS8dPx3/X9tPj8iZ8LgS2SJadOAO3fEcWQk8Nxzps8blzuwuwNRMYY637O7Iem0xZ5X+wTCt0l3SJKEefNc86P8bZe3ITU7FQAQ6huKDuEdDM95u3tjVu9ZhvPFxxdj/fn1RYcgorsYfInMtW6d6Sru7NlilddYt25AYKA4vnQJOFDy3etErqpDhw5o1KgRtFlpyC2lu4N/28EAgJ9//hmFha63U5lxmcOg6EFQu6lNnu8e0R3DGw83nLO3L1HpGHyJzFG0Z++IEUDXrsWv8/QEBgyQz1nuQGRCpVLh2WefBQBkHYkt8Rqvui3gHlIXycnJWLNmjclzFy9exOuvv45PjbuqVCEanQZ/nfrLcD6k0ZASr3utx2sI8goCwN6+RGVh8CUyh3HP3mrVTOt8ixpi9A8Vyx2Iinn88cfh4eGB3ISD0GTcKPa8SqVCwN1V359++gmSJGHLli24//77ER0djQ8++ACvvvoqdLqq185ry8UtuJlzEwBQy68W2tduX+J11X2rY3q36YZz9vYlKhmDL1FlFe3ZO306EBJS+vVdu4pwDACJiXIHCCICAISGhuKBBx4AJB2yjm0o8Rq/lv0MN7m1bt0a/fr1w6pVqyBBJZ7384ObW9X7J81404rBDQebbFxR1Kjmo9jbl6gcVe+7BJE1ldaztyweHsA998jn3MyCqJiJEycCALKObij3Jrfjx4/Dza8agrqPQa0xHwEAQsr64dNJFWoLsfzUcsO5cTeHkrip3Njbl6gcDL5ElVFaz97yGJc7LF0qAjQRGfTp0+fuTW63Sr3JrVrvx+HfeiCqD3sJdSctQLUeY6BSixu9qmLw3ZSwCbfzbgMAavvXRpuwNuW+hr19icrG4EtUUWX17C1P585AcLA4vnYN2LVL+fkRObGK3OTmHhiK6kOmwr+F6O0LALpcsZVx9erVbTNRG/rzpPzp0JCGQ8osczDG3r5EpWPwJaqo8nr2lsXdHRg4UD5nuQORieTkZFy9ehUAkJtwENq8rAq9Tnf3umr6OvoqokBbgBWnVhjOS+vmUBL29iUqHYMvUUVUpGdveYw3s1i6FNAWr2MkcjX79+/HuHHjEBERgS+//BIA4FWnKdzcPSv0en09sKdnxa53FhsubMCdfPGDdp2AOmhVs1WlXs/evkQlY/AlKk9Fe/aWp2NHoEYNcZycDOzYocz8iJzQrVu30Lt3b3Tq1AmLFi1CoUYL38bdUOvRD1BrzEdQVTD46tsDqtXqci50LsabVgxpNASqitxLUAR7+xIVx+BLVJ7K9Owti1oNDBokn3MzC3JhFy5cwLZt2wAA6sCaCH/2J4SOfB3eEa0qF/IkseJblVqZ5WnysPL0SsP50IZDS7+4DOztS1Rc1flOQWQNle3ZWx7j7g5//SW3RSNyMZ06dcJ3330HtVoNbUYqbm+eB11BbqXHkargiu/68+uRWSBu2osIikDz0OZmj8XevkSmGHyJSmNOz97ytG8PhIaK49RU4O6KF5ErmjRpEmJjY1GtWjXkntuD5EWvQJORWrlB7gbfqrTiW7SbgzllDnrs7Utkqup8pyBSmrk9e8uiVgODB8vnLHcgFzdgwADs2bMHjRo1QmHqRST9+l/kXT5W8QHurl5WleCbW5iL1WdWG86HNjKvzMEYe/sSydztPQEih2RJz97yDBkCLFwojv/6C/j2W9HujByeVqtFUlISLl++jJSUFNy5c6fYV3p6uuE4Pz8fKpXK8OXm5mZyrlKp4OPjgwsXLsDd3R0vv/wyQkJCEBwcjODgYMNxnTp1EBYWVmXCXVFNmjTBnj178PDDD2PTpk1IWfImqvUch8Auo6Eqr3ft3eBbVUod1p1fh6wC0aItqloUmlRvosi4kzpMwtpza3HlzhVDb98/Rv2hyNhEzoT/2hKVxJKeveVp1w4ICxOdHW7dAjZvNu3xS3YjSRKuX7+OM2fO4PLly8W+EhMTUVhYaLX3/9S4nrwIb29vREVFoUGDBsW+6tevD39/f6vNyxZCQkIQGxuLWbNm4b333kP6tt+Qf+0Uqt/7X6h9Akp9naSrWiu+S07InwINbTTUojIHY/revk+ufhKA6O37eJvHMajhoHJeSVS1MPgSFaVEz96yuLmJcodffhHnf/7J4GsH+fn5OHnyJI4ePWr4OnbsGG7dulXm69x8q8E9KBRq/+pw8/KFm5ff3S9fqIyO3bz8oHL3ACQAkAw3YUHSGepSIemg0xRAl5sJXV4WdPlZ0OVmieO8LOjyxOOazJvIy7mD06dP4/Tp0yXOKyoqCjExMWjfvr3hv6H6enInoVar8e6776Jr164YN24cbl/Yj6RfXkDo/a/Bq3ajkl9UhW5uyy7IxpqzawznQxpWfNOKitD39v377N8ARG/f45OPw9fDV9H3IXJkKsM3Y9uyy5sSlSsnB2jRQm5fNmIE8PHHyr/PkSPAww+L4+BgsfpbxRrwOxKtVotjx45h27Zt2LdvH44dO4bTp09DU0JXDTdvf3jUiIB7UC2oA2vCPTAU7kE14R5YE+rAULh5KPhDUCXo8nOguZMCTXqy+LqTjML0ZGjSU6C5kwJoi69E16tXD+3bt0f79u3RoUMHdO/eHUFBQXaYfeVdvnwZDz74IPbv3w+V2gPB/Z+Bf9viN3pl7FuB21t+xrRp0/DZZ5/ZabbK+PPEn3h4mfi+EB0cjX/G/KPYiq/erZxbGLJoiGFzjNd6vIb/9f+fou9BpCBl/wKAK75EppTq2VueNm2A8HDg+nXg9m0gLs601ZkLOnToEDZs2ICXXnoJHh4eFo2l0Whw6NAhbN26Fdu2bcP27dtxR1+6YqCCe0hdeNasD8+a9eFRsz48Q+tDHVBd8bChBDcvX8Nci5J0WhTeuoqClPMoSL4g/puSgMTERCQmJmLVqlViDDc3dOzYEf3790f//v3RrVs3eHt72/qXUiGRkZHYvn07XnrpJXz77bdI2/Ad8q+eRMig5+Hm6WN0ZdVZRzHetELJMgdj+t6+b255E4Do7Tum1Ri0rNlS8fcickRc8SXS+/df0W5Mvwr4/vvA6NHWe7+PPgLmzxfHEyYACxZY770c3IEDB9CvXz9kZmbi559/xpNPPlmp1+t0Ouzfvx9xcXHYunUrdu3ahaysLJNr1EG14F2vJbzqNBNBNzQSbh6OGfqUIOm00Ny+joKUC8hPPo+C62eRn3QG0MlbZXt7e6N79+4YMGAA+vfvj/bt2ztkycDixYvxzDPPIDs7Gx7VIxB6/2vwqFEPAJB5eC3SNnyHZ599Fj/++KOdZ2q+rIIshM4JRZ4mDwCwdsxaRIcodENtETpJh3HLx+Fg0kEAQLd63bD9ie1wK+9GQiLbU/ynPwZfIkD07O3eXW5f1rGj6LxgzZW/f/+Vg3VQEJCSomwtsZM4efIkevXqZait7d27N+Lj48t9XW5uLuLi4rB69Wr8/fffSE42bc/kHhwugm5EK3jXawH3wJrWmL5T0RXkIj/xBHIvH0He5aMoTL1o8nxISAhGjBiB0aNHY8CAAfB0oPKbU6dOYdSoUTh16hRUHl4I7vcM/NsMQvbJeNxa8ynGjBmDRYsW2XuaZlv872KMWT4GANC4emP8/ejfVn2/82nncf//3Y9CnSiR+XHYj3g25lmrvieRGRh8iazihx+ASZPEsYcHsGqVcu3LSiNJwD33AImJ4vzvv4Fhw6z7ng7m4sWL6NGjB65fvw7v+u2Rn3gCkiYfly5dQmRkZLHrU1NT8c8//2D16tXYsGEDcnJyDM+pA0Ph06ADvCNawatuC7gHVLflL8UpaXPuIO/yMeRdPoq8y0egSZd/eAgKCsJ9992H0aNHY+DAgQ5REpGVlYVJkybh999/BwD4NOwEn+hOSFv/DYYPH47Vq1eXM4LjGrlkpGGb4hc6v4DJHSdb/T0/3/M5fjjwAwCgmnc1nHr+FML8w6z+vkSVwOBLpLikJKBZM7l92eTJwAsv2Oa9P/1UbJQBAOPGyf19XUBSUhJ69OiBhIQEeNVriZoPzsatdV8h59RWvPfee3jjjTcAAImJiViyZAlWrlyJXbt2wfh7lmdYQ/g07AzfRp3hEVrfJrW5kqYQmoxUaDJu3O3EkA0pPxu6/Bzo8rOhy8+FruDuY4X5UEF195ODu//Vz1F1t6evpw/cvP2h9g6Am7c/3HwCRGcIH3Gu9q0m6o7drF+CUHgzEdlndyLnzE6T1WB/f38MHz4co0ePxuDBg+Hra98uAIsXL8akSZNE3bbKDZB06NOnD7Zs2WLXeZkrIz8DNefURL42HwAQOzYW9YOL13IrLU+Th+GLh+PKnSsAgEdbPsrevuRoGHyJFPfII3L7sshIsfJqq5KDkyeBkSPFcUCA2MbYAVbWrC0zMxO9evXCkSNH4BnWELUe+R/cvHyRm3AQqUtnolGjRnj55ZexaNEibDPe1lntDu+INvBt1Bk+0Z3gHlhD8blJkg6a9BQU3kqENiMVmjsi5GrupEKbkQpt9m3F37Ncbu6is0S1MPEVFAYP/XG1MLh5KR9EC9OuIefsLuSc2YmC5POGxwMDAzF27Fg888wzaNeuneLvW1GJiYl4/PHHDWG3Q4cO2L9/v93mY4nfj/2Ox1Y8BgBoVqMZVj6y0mbvvfPKTkNvX0CEbvb2JQfC4EukqHXrgKFGW4L+8gvQtWvFX3/6NPDrr0Dfvub14pUkYNAg4PJlcb5iBXD//ZUfx4loNBrcd999WLduHdyDwxE2bg7UvqLFlqTT4up3j0OXnW64XuXuCZ/oTvBt2gM+9dsrGvJ0+TkouHEZhTcuoiD1IgpTL6Lg5mVIBbmlvkatVqNu3bqIjIxEaGgogoKCEBgYiKCgoGJf+pVRnU4HSRK9fI2PtVotMjMzMW3aNGi1Wjz22GO4ffs20tLSkJaWhtu3b+P69evF6peLzSmoFrxqRcMzrCE87/5X/3uqhML0ZOSc2YWcM9tRkHTO8HhMTAyeeeYZPProowgMDFTs/SpKp9Ph888/x+uvv477778fS5x0C/Dhi4cb+vf+t8t/MbHDxEqPUaAtwBd7voBKpcILnV+Ap7ri9dkvb3jZ0Nu3frX67O1LjoTBl0gxlvbslSQRmhMSRF1wXBxQq1bl5/H556LGGAAefRT4o+p+1ChJEiZPnowffvgBbj6BCHvsE3gEh5tcc2fvcqRv/w3eEW3g17wXfBt1VSTsSjotCm9cQt6V48i/egIFqQkmNa3GwsPD0aJFC9SvXx+RkZGIjIxEREQEIiMjER4eDneFt5iOiYkBABw8eLDE53NycnDx4kUkJCQU+7pw4QLy8/OLvUYdEArPMBGCvcKbwrtuc6jcLb9ZreDGJWQdXY/sE1ugyxOdM/z8/PDwww/jmWeeQefOnW3eDi4zMxM+Pj6K/7nYQnpeOmrOqWm4yWzjYxsRERRR6XHmHZqHObvmAABe7vYynmn/TIVfy96+5MAYfIkUM2OGaCkGiJ6969YBISEVf71xVwZA7PD2yCOVn8fp0yJ0A4CfH3DjBuDjU/ZrnNQnn3yC6dOnQ6X2QM1H3od33eYlXidJksXhSdJqUJByAXmJx5GfeBx5V09Cys82ucbT0xPNmzdHmzZt0Lp1a7Rp0wZt2rRBjRrKl1CUpbzgWxaNRoNTp07h0KFDOHjwIA4dOoTDhw+b3PgHiJVzrzrN4B3ZBt5RbeFZK9qiumFdYT5yzu5C1tH1yE88bni8ZcuWmDJlCsaPH+8QN8Q5ul+P/IoJqyYAAFqEtsDyh5ebNc6DSx/EsZRjAMzrCrH0xFJDb193N3ccnniYvX3JETD4EilCiZ69xn14AaBPH8CcPqLGK8cAsGwZMGpU5cdxcMuWLcODDz4IAKhx36vwa9ZT8fcovHUVOef3Iu/SEeRfOwWpMM/k+aioKPTu3Ru9evVCx44d0bRpU4s3y1CCJcG3JFqtFmfOnMGhQ4dw4MABxMfH4+jRoybXuHn5wSuyNXwi28A7qh08QuqY/X6FadeQdXQ9so7HQZcjVg1r1aqFF154Ac899xyCg4Mt+vVUZUMXDcW68+sAANO7TcfT7Z+u9Bg3sm+gx4IeJo+teXQNGlUvZZvnErC3LzkoBl8iiynRs1enE3W9xrWXXl7A3r3mrdZ+9RXw7bfi+KGH5Jvtqojdu3ejX79+yMvLQ7U+ExDUWZmNQSSdFvnXTiH3/D7knN8LTdo1k+cbN26MXr16GcJuRETlP0K2BaWDb0lu3LiBLVu2YNOmTYiLi0OC/getuzxqRMK3aQ/4NukOzxrm/T5J2kLknNmFjH3LUZByAYDoCPHss89i2rRpqFu3rsW/jqokLTcNtT6pBY1O/AAeNz4OdQMr/3u09ORSvLn5TZPHJnecjBc6V647DXv7kgNi8CWymBI9ew8cAMaOLf74d98B/ftXfk7nzsk9fH19RXcHP7/Kj+OALly4gC5duuDmzZvwbzsYIQOft6iMQVeQi7yLh5Fzfi9yL+yHLjfD8FxISAjuvfdeDB06FL1790bt2rWV+CVYnS2Cb1EXL15EXFwc4uLiEBsbi/T0dMNzHtXrwbdJd/g26Q6P0KhK/3lJkoS8S0eQsfcv5F0+AgBwd3fH2LFjMX36dLRo0ULBX4nz+vnQz3j6b7HC26ZWG/z54J/lvKJkk/+ZjLiLcSaPRQVFIXZcbKX/7NjblxwMgy+RRZTq2fvOO4B+lygvL0B/c9GDDwLvvWfe3IYNEwEYECu+Dz1k3jgOJC0tDV27dsXZs2fhXT8GNUe/bVZdqa4wH7kX9iP71FbkXTgASVtoeC46OhojRozAiBEj0K1bN6e8wckewddYQUEBNm/ejKVLl2LlypVIS0szPOceHA7fJt3h37I/PKpXfjUyP/k8MvYtR87pHYCkAwAMGzYMs2fPRvv27RX7NTijQb8PwoYLGwAAM7rPwBPtnqj0GPmafHSe1xm5GtGJxEvtZegHvPyh5WhRs3I/ZLC3LzkYBl8iiyjRs1ejAXr1Au5usYv33wfubraA0FBg2zbAzYy6uG++Ab7+WhyPGiVqfZ1YQUEB7rnnHmzbtg0eNesjbMxHle7OUHDjMjL2/YWcs7sNLcZUKhW6dOmC++67DyNGjEDTpk1t3kVAafYOvsYKCwsRHx+PZcuWYfny5bh586bhOa96LeHfZhD8mnSvdIeIwvRkZO5fgaxjmyBpRDB76KGH8O6776Jx48aK/hqcwc2cmwj7JAxaSQsAiH88HrUDKv8JxdZLW/HsGlGO0KR6E3Sq0wkLj4mNcJ5q9xRe6f5Kpcdkb19yIIp/c2fVOrmOdetMa2dnzzZvo4p9++TQW7s2MH06oO8CcOMGcPx46a8ty5Ah8vE//wCZmeaN4yBefPFFbNu2DWr/ENQcNdOslmS3/vkM2cc3QyrIRceOHfHZZ5/h6tWr2LVrF2bMmIFmzZo5feh1NB4eHrjnnnvw448/IikpCXFxcXjyySfh5+eH/MTjuLXmU1z9djzSNv2IghuXKj5utTCE3DMJdSbNR2CnB6BSe+DPP/9E8+bN8eyzz+Lq1avW+0U5oOWnlhtCb7uwdmaFXgDYfGmz4XhY42F4pKXcWWbd+XXQ3V1lr4zuEd0xvPFww/mkfyYhpzCnjFcQOQ8GX3INOTmirEFvxIjKbVRh7J9/5OOHHhJ1wsabYJi7bWp0NNCkiTjOywPWrDFvHAfw888/4/vvv4dK7YHQB940e4c1j1CxbevUqVOxb98+TJs2DeHh4eW8ipTi7u6Ofv364eeff8b169fxww8/ICYmBrq8LGQe/BtJ8/+D5IUvI+vYRuiKdNAojdo3CMF9n0T4s3Ph32YQtDoJc+fORaNGjfDKK6/glv6HyiruzxNyPe+QRkPKuLJ0kiQh/lK84Xx44+EY0GAAQnxEW8brmddxJPmIWWO/1uM1BHmJTVAupl/Ee9vMLOEicjAMvuQa3nlH3qiiWjXRw9ccBQXAhg3yub5v73B5dcTs4AuYBmgn7eywZ88eTL77Q0bIoOfhVdv8j7H9W/YDAKxatQo6XeVXrkg5gYGBmDhxIg4cOIBDhw5h0qRJCAgIQP7107i17ktc+/5JpO/4A1qjmw3L4h5YA9UHT0H4U9/Bt0kP5OXlYc6cOWjQoAHee+89ZGVlWflXZD8pWSnYckl8n1BBhcHRg80a59TNU0jOEp1lgr2D0T2iOzzVnhjVTG6HuPbcWrPGru5bHdO7TTecz9k1B8dTzfw0i8iBMPhS1ffvv8Cnn8rn06dXbqMKYzt2ABl3/2GPjAQ6dxbHAweKlV8AOHVK3ERnjsFG/wCuWye/l5NITk7GqFGjUFBQAK/wplAH1EDelWPIu3oC+cnnobmTAl1+Dip6b4FXREuoA0Jx+fJlbN++3cqzp4pq164dvvvuOyQlJWH+/Pno2LEjdLkZuLPzD1z7/gmkbfoRmjspFRrLo3pdhN4/A2GPfwHvqHbIyMjAW2+9hcaNG2Px4sUV/n/FmSw/tdxQghATHoNa/mbs+Ahg80W5zGFIoyFwdxM3dhYtd9C3S6usUc1HIaa2qD/X6DSYuGaiWaUTRI7E+W5/JqoMSQKee07eqKJjR8s2hzAuc3jkEbn3b2Cg2MBi40ZxvmULMGZM5cePigKaNwdOnhSry6tWAY89Zv58bWzOnDm4fv06ACD/+mmkLnmz5AtVbnDzCYCbtz/cvP2h9g4wPfcPgXtQLbgH1YJf0x7I2L8CCxcuRO/evW34q6Hy+Pn54YknnsCECROwbds2fPzxx1i7di0yD/6NzEP/wLdZTwR1GgXPWg3KHcsrrCFqPfwu8i4fw+2tC5CUdA5jxozBjz/+iG+++QYtW1adXcSWnJA/zRnS0LwyBwCGVWMAJjW5vSN7o5ZfLaRkp+Bmzk3sv7YfXetVvrTLTeWGd/q+Y+jtuytxF+Yfnm/WJhtEjoJdHahq27QJuOcecWxuz1693FygWzdRLwwAhw8DbdvKz3/9NTB1qjju1QuYO9e89/npJ3mFetgw0XnCSezfvx8ff/wxcnNzodFooNFoUFhYiMLCQuTk5CAtLQ1paWnIzs4uf7AiAgICkJKSAp8quJ2zI3V1sNS///6LOXPmYPHixdDc/YHTO6odgro9DO96FQuvkqRD1rFNSN/6C3S5GVCr1Zg6dSpmzZqFwMBAa07f6pIyk1DnszqQIEEFFbY/sR2hfqGVHiclKwW9fukFQGwxfGP6DVTzrmZ4fuq6qfh6n+gS82DzB/FeP/NrdI17+9avVh/nppyD2oLtrokqge3MiCplyBAgNlYcjxkDzJxp/ljr1gEvviiOmzQRJQ3GHQUuXQLqi5ux4OkpdnHzrXwnAyQmAgMGiGMPD7GZRbVq5s/bARUUFOD27duGIJyWlmY4v3XrFq5du4aLFy/i4sWLSExMhE6ng4+PD65evYoQc8tUHFhVCr56V65cweeff465c+caftDxie6Iar0nwDM0skJjaHMzkb79d2QdWQdIOoSFhWHOnDkYO3as03bz+GbfN5iybgoAiNZjIxeaNc6fJ/7EW1veAgD0jeqLzY9vNnl+V+IudJ/fHQAQ5BWEHU/ugKe6ci3o9HILc9Hn1z5Iz0sHACx9cClGN1dm90WicrCdGVGFHT8uh16VCpgwwbLx1hrdJGJc5qAXFQXoP44tKAB27TLvferVA1q1EseFhcDKleaN48A8PT1Rq1YtNGvWDN27d8fw4cMxfvx4vPjii3j33Xcxf/58bNmyBZcuXUJeXh4SEhJw4cKFKhl6q6qIiAh8/vnnuHLlCmbNmgV/f3/kXtiPpAVTcGvdV9Bklt+9Qe0TgOoDJ6H245/DK7wpkpOT8dhjj6F37944duyYDX4VyjMucxjaaGgZV5bNuL7XuMxBr0vdLogIEltP38m/g12JZn4/AuDj4YNHWz5qOP9k1ydVsvaaXAODL1Vdn30mHw8YIG5GM1dWFhAfL58//HDJ1xl3d9i8ueRrKsK4p++f5m1jWlV4eHigfv36TrP9MJkKCQnBzJkzceHCBTz//PNwV7sh69gGXP/pWaRvWwhdfvn9YT1rRaPWuI9RfeiLcPMNwvbt29G+fXu88soryMlxnv6y1zKuYceVHQBE/ezABgPNGidPk4fdV3cbzoc3KR583VRueLiF/H3qn3P/FLumMsa2GgsPN3ED795rey0K0kT2xOBLVVNysrylMAA8UfmtQE1s2iRWcQGgTRux7XFJjIPv1q2AuS24jLs7bNwob5hB5KRq1qyJb775BidOnMCoUaMgafJxZ/cSXPvpGWQeWgNJW3bnAZXKDf6tBqDOMz8iIGY4tDoJc+bMQZs2bbB161Yb/Soss/TkUsNxl7pdUN23ulnj7E7cjTyN6JvctEZTNAxpWOJ1xt0dNiVsMrzGHKF+obivyX2G8093f1rG1USOi8GXqqZvvpGDatu2QPv2lo1XtMyhNJ06iW2LAeDmTdFKzRx16sg3zmk0VbLcgVxT48aNsWzZMuzatQvdu3eHLucO0jb+gOs/T0b2mZ3lfoTu5u2PkAETETZuDjxqROL8+fPo06cPnnvuOWQ4ePs/k00rrNDNoah2Ye3QKKQRACCnMAdbL1n2A8ITbeUFhJWnV+J82nmLxiOyBwZfqnqys4Hvv5fPn3iieD1uZdy+DezcKZ+XVuYAAGo1cO+98rlS5Q5OupkFUWm6du2K7du3Y8WKFWjcuDE0t6/j5soPkPz7y8i7eqLc13uFN0HtCV8gqPujULm548cff8S0adNsMHPzXLlzxVCeoFapMaDBALPGkSSpwsFXpVKZrPpaWu7QqHoj9IoUnSQkSPhizxcWjUdkDwy+VPX88guQliaO69aV25mZa+NGuQ9w585y54bSKLWLm3G5w+bNwI0b5o9F5IBUKhXuv/9+HD9+HN9//z1q1qyJgutnkLLoVaQufw+ajNSyX6/2QGDHkXDzCwYANCutBMkBLD0hlzl0rdfVsK1wZZ24cQKp2eL3JcQnpNz+vMbBN/5SPLIKLNsR78m2TxqO5x+ej1s5LMMi58LgS1WLVgt8/rl8/vjjYhXWEkU3rSjPwIGinRkAnDkDXLtm3vuGhcklGlotsGKFeeMQOTgPDw8899xzOH/+PGbOnAlfX1/kntuD6/MmI2P/Kkg6bamvvR0/H9rMG4iJicGL+naDDujPkwqVOVyUf5ge2mioYbe20jQPbY5WNUWXmHxtvkk3CHN0qdsFTWs0BQDkanIN/X2JnAWDL1Utq1cDFy6I48BAy3ZpA0QP3b17xbFKBTz4YPmv8fcH+vaVz427QVTWUKN2Ryx3oCouICAAs2bNwrlz5/DQQw9BKszD7c1zkbzwZRSkXCh2fe6lI8g6EgsPDw/88ssvcHd3zM1IL96+iH3X9gEAPNw8cE8D8z+FqmiZgzHjVd+159aWcWX5VCqVSa3vN/u/Qb4m36IxiWyJwZeqlk+N7jR+5BHAz8+y8davF9seA2I3tjp1KvY6pdqaDRwo1yfHxwMpKeaPReQkwsPDsWTJEqxevRr16tVDQfI5JP06Dbe3zIeuQHQm0OXn4Na6LwEAM2fOdOgtjY27OXSr1w1B3kFmjZOSlYITN0T9s7ubOwZFD6rQ64zbmu24ssOwEYW5hjYailp+tQAAyVnJ+OPfPywaj8iWGHyp6tizR74JzcMDGDfO8jHXrZOPK1LmoDdsmHy8d6/oA2yOWrWAjh3FsU4H/PWXeeMQOaHhw4fjxIkTeOGFF6CChIx9y3F9/vPITTgoShwyRInDq6++au+plkmpTSuMV3t7R/aucICODolGx3DxfaRQV4i4hDiz5wAAnmpPPNbmMcP5p7s/5YYW5DQYfKnqMF7tvfdeERotkZUFHDkinz/wQMVfGxkJtG4tjgsLgd27y76+LMY3ubn4ZhbkegICAvDFF19g7969aNOmDbR3UpC6dKZTlDgAwPm08ziUdAiAKHPoV7+f2WPFX4o3HFe0zEHPeIvhnYk7y7iyYh5u8TB8PcSW7CdunMD6C+stHpPIFhh8qWq4eBFYvlw+t3TDCgDYv1/cVAaInro1a1bu9UqVOwwaBLjd/au6bRuQlGT+WEROqmPHjti/fz8+/vhj+Pj4AHD8EgfAtJtDj4geCPQKNGuc3MJck93SStqtrSzGdcV7ru6xeIU20CvQJExzQwtyFgy+VDXMny/vktatG9C0qeVjGq/S9u9f+dcrtYtbjRpiYwxA1BsvW2beOEROzsPDA9OnT8epU6ewcuVKvPbaa/aeUrmUKnPYfXU38rXiJrLmoc3RILhBpV7fJqwNqvuIneJu5d7C2VtnzZ6L3vg24+GmEjFiU8ImJNxOsHhMImtj8KWq4dQp+XjECGXG3LNHPjYn+HbsKK8S37oFHDtm/lyMN7NguQO5uMjISIwYMQJubo79T9iZm2dwNOUoAFEXa0mZg3Ebs8qWOQCAm8oNfevL3Wb2XNtTxtUVUy+wHjqEdzCcn7552uIxiazNsb9rEFXU1avycd26lo9365bowQsA7u5Az56VH8PNzXQXN0s2sxg4UO5HvGOH6a+XiByS8RbFvSN7w9/T36xxdJLO5Ma2YY2HlXF16fpFycF7d6IF9x0YqRsgf7+9msHvS+T4GHypakhMlI8tvakNkHv3AmK3Nn/z/sFSrM43JATo0kU+Z7kDkcNTatOKE6kncCNH7NxY3ac6utYte7e20vRvIH9ytf/6fmh0GrPnpFfLX/5+m3gnsYwriRwDgy85v8JC0xu+lAi+ltb36t1zj7yL29mz5u/iBpiWO3AzCyKHdvLGSRxPPQ4A8Hb3Rp+oPmaPZbzaO7TRUKjdzNuNslFII9QNFCu0WQVZhvlZorZ/bcPx1Uyu+JLjY/Al55eUJG8yUaOGHDQtYWl9r56/P9DPqK7PknKHAQNE2QUg5nf5svljEZFVFS1z8PM0fzMdc3ZrK4lKpUL/+vL3sz1XLa/zDfMPMxxzxZecAYMvOT/jetewsNKvq6hr14ArV8Sxr69piYE5jMsdLAm+wcFAV6OPOFnuQOSQJEkyCb5DGplf5pCclYyTN04CEH2ABzWs2G5tpTG+wW73VcvrfI2DL2t8yRkw+JLzUzr4Gpc59Oxp+QqyUru4AcBQo3ZILHcgckjHU4/j1E3RacbH3Qd9IvuYPZbJbm1Rvc3uA6xnvOJ7KOkQ8jR5Fo1XNPhyBzdydAy+5PyMb2yrXbv06yrKOPj2M7/9kEFEBNCmjTguLJS3VTZH//5iO2ZAbLBx8aLl86MyFRYW4ssvv8QTTzyBtm3bwtPTEyqVCvPmzbP31MhBGa/29q3fFz4ePmaPZWkbs6LqBNZBk+pNAAAF2gIcTjps0XiBXoHwcRe/vuzCbKTnpVs6RSKrYvAl52e84mvpjW2SZNrRwZL6XmNKlTsEBQE9esjn7OlrddnZ2XjxxRfxyy+/IDk5GWFKfKpAVZYkSaabVjQ0f9OKnMIck3IEJYIvYLrqa2m5g0qlYrkDORUGX3J+Sq74XrgA3BBtgxAcLLYqVoJx8I2Pl7dCNsfgwfIxg6/V+fr6Yu3atbh+/TqSk5Px5JNP2ntK5MCOphzFubRzAABfD1/0jDSjB/hduxJ3oUBbAABoEdoC9YPrKzJH4zpfxW9wy+ANbuTYGHzJ+SlZ42tc5tC3r7xphKU6dJDndvs2cPSo+WMZlzscOgScP2/5/KhUnp6eGDJkCGorUUZDVd6S4/Jqb7/6/eDt7m32WEp1cyiqb/2+UEEFAPg39V9k5mdaNJ5JSzOu+JKDY/Al52e84qtk8FWqzAFQdhe3gACgVy/5nKu+RA5BkiSTTSuGNjK/zEEn6RB/Kd5wPryJcsE3xCcE7Wq3M7zPvuv7LBqPm1iQM2HwJeem0QDJyfJ5zZqWjbXP6B8AJW5sM6ZUnS9gupkFgy+RQziUdAgJtxMAAP6e/ugZYX6Zw/HU47iZcxMAUMO3BjrX6azIHPWU3L6Ym1iQM3G39wSILKJSKTfWtWtA5t2P/IKDgSZNlBsbEBtQeHkB+fnAuXNipbpePfPG6ttXHuvoUeDMGeXnS4qLiYkp8fFTp06hWbNmNp4NKc34prYB9QfAU21+K8TNF+Utzu9tdK/Zu7WVpntEd3yy+xMAMLReM5cEuYWZvoSCyFFxxZecm1ptusp765b5Y9WoIdfO3r5tupKsBD8/0/IJS1Z9/f2B3r3lc676likqKgoqlarCX+PGjbP3lMnJKLlpBWC9+l49/aYYgOmKrTn0K9NKjEVkbVzxJecXFiaH1Bs3zO/s4OcHtGsnlzts2AA8/rgyc9QbPhxYu1Ycb9kCjB9v/lhDhog5AmIzi7fesnx+VVR0dDS8vSt+k1F4eLhV5nHw4MESHy9tJZicx75r+3D5jthGPNArEN3qdTN7rOuZ13H65mkAgKfaEwOjByoyR2Ox52MNxz0iepRxZflSs1MNx8YdHogcEYMvOb/atYEjR8TxzZtlXlqunj3l4Lt+vfLBd9gwYNIkcbx/v9jFzd/fvLH69AG8vYG8PODECfHVooViU61K4uLi7D0FquKMV3sHNLCszMF4tbdPVB8EeAVYNLeiMvIzTPr3Whp8TVZ8A7jiS46NpQ7k/Iw7Oeh78JrLeHOIjRsBnc6y8YqqW1esKgNiF7ft280fy9dXhF+9pUstmhoRmUcn6bD0pPz3b0hDC8scFN6trajNFzdDo9MAAJqHNkcN3xoWjWccfLniS46OwZecn5LBt2lToHp1cXzzpuiTqzQluzsMNWqXtGSJ2HmOiGxqz9U9ho0bqnlVQ9e6Xc0eK7sg22RTCWsE3/Xn1xuOe9SzbLUXAG7kyN93WeNLjo6lDuT8jGt6LQ2+bm5A9+7A6tXifP16sfmEkoYPB955Rxxv3Sp2cTN3o4xevcTKb04OcPo0cPw40KqVcnMlAMCHH36I06dFzeWRu2U1CxYswI4dOwAAPXr0wNNPP22v6ZGdGZc53BN9DzzUHmaPtStxFwp1hQCAVjVbIbJapMXzMyZJEtZfMAq+FpY5SJKEG9ny912u+JKjY/Al52e84mtpjS8gyh30wTc2FnjjDcvHNNa+vQjrSUlAerqoTzb35iYfH9FveM0acb5kCYOvFcTGxmLr1q0mj+3atQu7du0ynDP4uqaiZQ6WbFoBWL+bw/m087iYfhGA2FJZv5GFuTLyMwxBPcAzAH6efhbPkciaWOpAzs94xVep4Ku3ezdw547lYxpTchc3oPhmFix3UFx8fDwkSSr165dffrH3FMlOdl7ZieuZ1wEAwd7B6FSnk9lj6SQdtl6Wf8Aa1niYxfMryni1t3OdzhbdhAeYljlwtZecAYMvOT8la3wBUeOr746g1QKbN5d9vTmUrPPt2VO0YgPExhj6DhdEZHXGm1YMjB4IdzfzP0j9N+Vfw41iob6hFoXo0hgHX0t2ltMzqe9lRwdyAgy+5PyKBl8lVjyNV33Xry/9OnMNGCBakQHA+fNiFzdzeXmZbozBzSyIbEKr02LZyWWGc0vLHDZfMtqtrbHyu7UVaAtMOkZYWt8LADez2dGBnAuDLzk/f3+5F25BAZCRYfmYRYOv0uUDvr6mYdXSVWWWOxDZ3PYr25GSnQIAqOFbAx3DO1o0nrXbmO28shPZhdkAgHqB9RS5cc6k1MGPwZccH4MvVQ1K3+DWtq0IpwBw6ZIoIVCakuUOPXoAAXeb3CckAKXsEEZEyllyXC5zGBQ9yKIV2msZ13Dm1hkAttmtrWek5WUOAEsdyPkw+FLVoGRLMwDw9AS6dJHPP/jA8jGLGmZ048r+/UBmpvljeXqK8gk9ljsQWZVGp8Ffp/4ynFu6aUX8pXjDcd+ovvD3NHNHx1KkZKVgwZEFhnMlyhwAbl5BzofBl6oG4xXflBRlxhw1Sj7+5Rfgr79KvdQsdeqI1mYAoNFYtosbwHIHIhuKvxRvWO0M9Q1FTLiZLQnvMq7vVbrMQZIkPLn6ScN8a/rVRLe63RQZOyVL/n7LzSvIGTD4UtXQsKF8rNTNaAMGmK7KPvMMcO2aMmPrKVnu0LUrEBQkji9fBvbts2w8IiqV8aYVgxsOhpvK/H9OswqysPfqXsO50m3Mvj/wPdaeW2s4/7D/h/Dx8LF43BvZN3AoSd7dMjok2uIxiayNwZeqhvHj5eMtWyzrkmBs5kwgPFwc374NTJgA6HTKjA2YBt9t28TKr7mKljssWVL6tURktkJtoWmZQyPLyhyMd2trXau1oru1nbpxCi9teMlwPqHNBHSP6K7I2EtOLDHMu3u97mgY0rCcVxDZH4MvVQ1NmwKDBoljnQ744w9lxg0MBD76CFCpxPmmTcCXXyozNiBKHfTBWr+LmyWGGrVTWrpU2ZBORACAzRc3Iy03DYCoa20XZtnuZ9bq5lCgLcC4FeOQp8kDADSu3hj/7fpfxcZefHyx4Xxq56mKjEtkbQy+VHVMmSIfL1sG5OQoM26nTqLMQW/GDODYMWXGVqlMyyksbWvWuTNQrZo4vnoV2LPHsvGIqBiTModoy8octDot4i/HG86VDL5vb3nbUIrgqfbEJ/d8Ai93L0XGjj0fa7ixrU5AHYxsOlKRcYmsjcGXqo4hQ4DouzVmGRnA338rN/aUKfJubgUFwNixQF6eMmMrWefr4SGvfAMsdyBSWIG2AMtPLzecW7ppxbGUY4bV41p+tdCxjmW9gPXiL8Xj450fG85f6voSmtRoosjYALDw2ELD8aQOk+Ch9lBsbCJrYvClqsPNzXTVd+FC5TobeHoCc+bIu60dPw689poyY/fvD/jcvdEkIUHcmGYJ4+4OLHcgUtSmhE1Iz0sHIFY6W9dqbdF4Wy7JP+ze2+hei1aP9dLz0jF+xXhIEN//utXrhvFtxpfzqoo7mnwUx1LEp15eai88G/OsYmMTWRuDL1UtEybIu7idO6fsR/3R0cCrr8rnX3wBbNhg+bg+PqY3pVm66tuxI1C9ujhOSgJ27LBsPCIyWHJC/hRlcMPBUOnr/81kUt/bRJkyh8n/TEZihrjBt5pXNXzY/0NFArWe8Wrvo60eRahfqGJjE1kbgy9VLUFBwOOPy+cLF5Z+rTkefRTo00c+nzBBmZ3ijMsdLK3zdXcHBhrt+sTNLIgUka/Jx8rTKw3nlm5acTXjKs6mnQUgVk7vaXCPReMBwKJji0xuOnu337uo5V/L4nH1UrNTTXaAm9JpShlXEzkeBl+qev7zH/lYydZmgLgZ7f33gZAQcZ6UBEycaHlJhfENbgcPihplSxiXOyxbBmi1lo1HRNhwYQMy8sXfzXqB9dCyZkuLxjNe7e1Xvx/8PP0sGu9y+mVMXjvZcP5AswcU3/p4yXHTFmbta7dXdHwia2PwparHWq3N9GrUAP73P/l8+XJgwYLSr6+I2rWBDh3EsRK7uHXoAITe/fgxJUX0CCYiixiXOQxpOMTyModLyrUx0+q0eGzFY4ZgHhEUgTd6vmHRmEUVaAvwfyf+z3DOFmbkjBh8qWqyVmszvb59RdmD3gsviPZhllCy3EGtNu3uwHIHIovkFuZi1ZlVhnNLN63IKsjCvmvy7oqW7tb29b6vsf2K+IFZrVJjzj1z4O/pb9GYRbGFGVUFDL5UNVmztZneq68C9euL46ws4OWXLRvPOPhu327ZLm6AabnDX39ZPh6RC4s9H4usgiwAQFRQFJrVaGbReDuu7DCUDLQNa4t6QfXMHispMwlvb3nbcP5ch+fQNqytRfMrCVuYUVXA4EtVkzVbm+n5+ADvvCOfL1kCxMWZP17btkCdOuL4zh3g0CGLpof27YGaNcXxjRtAfLxl45kjNVXUWX/7rdj447ffgORk28+DnJJO0uFQ0iF8vPNjvLX5LSw6tghHko8gtzDX5nP586TRphWNFO7mYGGZw/SN05FZkAkAaBDcAM91eM6i8UrCFmZUVbjbewJEVjNhAvDmm2I1Vt/arGtXZd+jUydxY9qaNeJ8yhSx7bCnZ+XH0u/i9uOP4nzLFjG+udzcgMGDRdgERDA3bpumpNRU4MQJ4ORJ8V/9cWkdL9q2FXMbPFj8mZjz+0VV0o3sG9hwYQPWX1iP9RfWIzU7tdg1bio3NAhugBahLdA8tDlahLZAi5ot0KR6E/h4+Cg+p5zCHPx9Rv7UyNJuDlqdFlsvbzWcW1LmsPXSViz6d5Hh/O1eb8NTrfzfp9+O/WY4ZgszcmYqSelVsIqxy5uSC/rPf8RqIwB06QL8/LNo96WklBRRVpCdLc4//hiYPt28sf75R+7wEBUFrF9v2dwOHwYeeUQch4SI1VYPCz6erGzArQh/f7GJx+DBoi5ZXz7iQmJiYgAABw8etPNMbE+j02DP1T2IPR+L2POxOJR0yLDxQmVZKxAvO7kMDy59EIBYUV07Zq1FK74Hkw5izF9jAABh/mG49t9rZvXZLdQWov1P7XE89TgAEci/GPyF2fMqzYW0CxjxfyMMpRkHnz3Ibg5kK5Z9tFICrvhS1WYcfPfsAV56Cfj0U2XDb61awNSpwAcfiPPZs8WNb3XrVn6sfv1ECUVuLnDpEnDxomVBsE0b0TEiKQlISxM3zRnf9FaenBzg88/FRh3mBFxfX1Fr3aiRKLs4dEh8GdcbZ2UBq1aJLwBo3FgOwX36iDGoSrly5wrWn1+P2Aux2JSwydCJoCTB3sHoEdEDtf1r48LtC7iQdgFXMq5AJxXfkVAn6XA+7TzOp503uRFNH4hb1WyFZ2OexeCGgys13z9PyGUOSnRziL8Ybzi2ZLe2b/Z9Ywi9vh6+mNFjhkXzKsmF2xcwfuV4Q+jtVq8bQy85NQZfqtqaNhWrr3PmiPPYu43XlQ6/Y8eK7hHnzomV35dfBv7v/8p/XVE+PsA99wCrV4vz+HjLgq+bm1iNnj9fnC9ZUvHgGx8PPPMMcP58+dcaB1z9fxs2FKHbrcg/6llZ4oeQ7dvF17Vrps+fPSu+vvoK8PICevUScx48GGjeXJSEkFPJLczFtsvbEHs+FusvrMepm6dKvVatUqNtWFv0jOyJnhE90Ty0ebFgmKfJw8XbFw0h91zauQoH4hWnV2Bsq7H4YvAXqOFbo9y5ZxVkYc3ZNYZzS8scAGXamCVlJmFm/EzD+eSOkxHmH2bx3IxduH0B41eMN3Ry8PPwwxeDvlD0PYhsjaUOVPVJEvDiiyJI6Q0erHz43bcPeOwx+XzTJvERfmXNmycCJyBqfC3dfe7YMeBB8TEtqlUTpRll1dTeuQO88grw00/Fn6tMwK0ISRIr29u3i62V9+4F8vJKv75uXRGCJ00C7pYHVAVVsdRBq9NiwZEFWHZyGbZe3oo8Tel/rrX9a6NnRE/0jOyJrnW7IsArwKz3rEwgruFbA18N/gqPtHykzBXcJceX4JG/RLlQo5BGWDNmTanXVkRiRiIG/CZq7b3UXrj1yi2zNq4Yt3ycoba3QXADrHpklaK1vSWF3nVj16FnZE/F3oOoAljqQFRpKhXwxRfiWB9+rbHy26mTaEmmb51m7o1u994rHx88KIJoUJD582rVSnSLuHYNSE8HNm40fQ9jq1eLUHn9uvxYQAAwbZooOzA34JZGpRIr2vXrA+PHA/n5wIEDIgRv3y5W0I1dvSrqtH/7TZRGDLF89Y2Up5N0eHzl4yY3XRnzVHuiU51OIuxG9ESD4AYWlw8AgLe7N5qFNkOzUNNWY3maPCTcTsCCIwuw+oz4NOVmzk2MWT4Gfxz/A9/f+z3qBpZcmmSyaYWFvXsB024O/Rv0Nyv0WvuGNoZeqsrYzoxcgz78TjXaaSg2VtT8Ktnf9pVXAL+7/5CdOgV8+WXlx6hdG+jYURxrtZbv4qZSmQbEkjazSE0VN8GNGGEaevv3FzfcjR0rwrOSobckXl5A9+6iR/KaNaLc4r33xCpvgNEqYGEh8MAD3JHOAUmShOf/eb5Y6G0Q3ACPt3kcc4fPxb6n9+Hn+37GhLYTEB0SrUjoLYu3uzeahzbHnHvm4KdhP6G2f23Dc2vOrkHzb5vjhwM/FFsVzszPxNpzaw3nla0NLomlZQ6F2kL8Z528LfuQhkPQtZ5y3WoYeqmqY/Al12GL8Fuzpun4s2ebt6Ob8WYWW7aUfl1FGQfflSvlcgJJEqUUzZqJ+l+96tXF79W334qb9+yldm1RpvHVV6IueNEiuddxXp7ogHHggP3mR8W8Fvcafjj4g+H8gWYPIG58HNaNXYfXe76OXpG9rNJyrKJ6R/XGmjFrMLbVWMNjmQWZmPTPJPT9tS/O3jpreHz1mdXI1+YDAJpUb4Lo4GiL3jurIAv7r+03nJvTxsyaN7Qx9JIrYPAl12KL8Dt2LBAZKY6zs4Hvvqv8GMbBd9s2scJpiRYtgIgIcZyRIbo0XL4MDB0qSgzS0uRrR44Uq7xDhjjWjWTu7kCHDsCCBUDo3R6imZmiXvvkSfvOjQAAH2z/AB/t/MhwPqzxMLzf7/1Sywjsxd/TH2/3fhuLHliE+tXkm0e3Xd6G1t+3xkc7PoJGpzHZtGJoo6EWv+/2K9sN3RHahbWr9O+LJEkmv79PtXtKsRvaGHrJVTD4kuuxdvg9dMh0lbd69cqP0aYNUO/uFqYZGZbv4la03OGNN4CWLeVaZ0CspM6bB3z4IRAcbNn7WVNkpOhSUa2aOL91S2zMkZBg12m5um/3fYvXN79uOO9Xvx8+7P+h2a26bKFDeAesemQVnot5DmqVGgCQr83HjLgZ6DS3E2LPy38/FOnmoMBubcadKDYmbFRkFzuGXnIljvsdiciarBV+k5NFBwmtVpx36WK6dXJl5jfM6GNQJcodhhqtWB0/LtqK6d/rscfETXk9neQfusaNgblz5R6/SUki/BZtjUY2sfDoQpO60y51u+CLQV/AQ23BZik24uXuhWldp+Gvh/5Ci9AWhscPJx9GgbYAANAitAUiq0Va9D5Fd2sb3qTywVelUmH+iPmGG9lO3zyNt+PfhiXdmRh6ydUw+JLrKi38TpwoWmxVVkGBGEtfNlCzpujta+52vErX+TZpInaDMxYdDSxeLLZ29qv83eV21bo18MMP4oY4QGz2cc89lu0iR5W28vRKPLHqCcN5m1pt8N3Q7+Dl7mXHWVVes9Bm+PPBP/Fyt5fhpTaduxI3tR1OPoz0vHQAon2buZtAdKrTCV8P+dpwvvrM6lK7Z5RFkiSsPbeWoZdcDoMvubaSwu+OHWK19YMPRCuxinr/feDoUXGsVovuCfobsczRt68cRi9dsvyjfJUKmDBBHLu7A5Mnixvd2rWzbFx76txZ3Pimb0l36pSo+a3MnxuZbVPCJjy87GFoJfEJR+PqjfHT8J/MatHlCNzd3PFM+2ew+tHV6BguOqsEeQXh/qb3Wzy2cTeHYY2HWVQC8kz7Z/BUu6cM5x/s+AAHkyreA/po8lE8+tejmLZ+GkMvuRxuYEEEiO4Gr74q7/CmV60a8PzzYgtijzI+tv3rL+B1ub4Rn30met9aauRIEU4B0SrtqafKvLxckgScOSNqeO3ZrUFpa9cC//2v+PUBomQjNtZptjt2xg0sdifuxoCFA5BTmAMAiAyKxKIHFiHUL9TOM1OGTtLh5I2TCA8IR4hPiMXjDV00FBduXwAArH5ktVmlDsbyNHnouaAnDlwXXU1CfUOx4uEVZf7+X8u4hs92f4Y150w34ajuUx0rHl7B0EuOSPE7rLniSwSI1dCPPxa7r/XoIT+eni5WcocNA+Li5GBl7PhxYNYs+fzhh0WdrxKULndQqcQ2zlUp9AKifvmdd+Tz7duBUaNE+Qkp7mjyUQz9Y6gh9Ib5h2HBiAVVJvQCgJvKDS1rtlQk9F65c8UQer3dvdG/gRk7Ohbh7e6NZQ8uQ3UfcfPsjZwbeHH9iyjUFu8Ak1WQhc92f4bBiwabhF4PNw+81PUlnJtyjqGXXAaDL5Gxjh1F+7Bly4AGDeTHL10SpQGPP27aOuv2bVEmoQ9YLVqIzghKtQG79155rEOHRBCnkj30kFi114uNBcaNk280JEWcvXUWA38faKhXDfEJwYIRC1An0IKynipu88XNhuMBDQbA10OZTyIiq0Xi/0b/n6Fs4sD1A/h418eG5zU6DZYcX4KBCwfix4M/Gm7WA4BRzUbh1POn8MnATxDs48BdXIgUxuBLVJRKJVYLT54EPvnEdLvgvXvFjmGvvSY6Cbz0ktxJIDAQWLEC8PdXbi61aomtkAER4LhTWdmefFL8gKK3dCnw7LOATlf6a6jCrty5ggG/DUBqdioAIMAzAPPvm48GwQ3KeaVrs3S3trIMaDAA7/d733D+29Hf8PeZv7Hjyg6M/L+ReDv+bdzKvWV4vkN4B2ybsA3LHlqG6BDLNuQgckas8SUqz82bYge27783XT10czMNVKtWAffdp/z7v/++6LoAiI/0P/9c+feoSiRJ/J4tXCg/9r//iR9WHJQz1PgWaAvQ7sd2OHlDfOLh4+6D+SPmm92dwFVk5meiy89doNGJNonX/nsN4QHhir6HJEkY9ecorDi9AoAo0yi6/XLdwLr4oP8HGNNqjEP3ViYqgjW+RDZXowbw9dfAv/+a9tY1Dr1vvmmd0AuY1vlu3275Lm5VnUolbjR84AH5sc8+Y72vhdacXWMIvR5uHvh26LcMvRWw/cp2Q+iNqR2jeOgFRH/fX+7/BU1rNAUAk9Dr5+GHd/u+izP/OYNxrccx9JLL498Aoopq1kxs8rBxo+ghqzdokOnNbUpr1UrebjgzEzhwwHrvVVW4uQHvvgvUri3Ob94UnR/IbL8c+cVw/FT7p9A9orv9JuNEjOt7lS5zMBboFYjlDy2Hv6cotVJBhafaPYVzU87hzV5vKlZXTOTsGHyJKmvAAHGj2dKlwLffinZjarX13s8au7i5And3YMQI+fyXX+w2FWeXkpWCtefkHxxGNRtlx9k4D41Og22X5br8YY2HlXG15ZqFNsPBZw/i4wEf48hzRzDvvnmoHVDbqu9J5GwYfInMoVYDo0eLG6m8va3/fkXbmtmnNt/5jBwpH//zD5Caar+5OLFF/y4ybFLRIbwDIoIi7Dwj53A46TDu5IvNVMIDwm1SGtK4emNM7z4drWu1Lv9iIhfE4EvkDPr0kXdxu3LF8l3cXEVUFND+btjQaIA//rDrdJyRJElYcGSB4Xxk05FlXE3GNl+SyxyGNRoGlVJtDonIbAy+RM7A2xsYOFA+37y59GvJlPFNbix3qLTDyYdxPPU4ANHJYXDDwXaekfPYctGojZmFO7URkTIYfImchdK7uLmKwYPlcpSjR4EjR+w6HWdjfFPbwOiBhpunqGyX0i/hYvpFAOIHhv71Ld+tjYgsx+BL5CyMd3E7fFjsGkflCwgA7rlHPueqb4Xla/Kx6N9FhvORzVjmUFHxl+INxwMaDICPh4/9JkNEBgy+RM6iZk2gc2dxrNNxF7fKMC53WLSIPX0r6J9z/yAtNw2AuDmrc53Odp6R87BVGzMiqhwGXyJnwnIH83TuzJ6+ZjAuc7i/6f3c/KCCMvIzcDBJ3oXP2m3MiKji+F2MyJkU3cWNK5cVo1azp28lFe3dy24OFbf9srxbW4fwDuylS+RAGHyJnEnLlkBkpDjOygIOHiz7epKxp2+lsHev+YzbmLHMgcixMPgSOROVynTVl23NKo49fSuMvXvNp9FpsP3ydsM5gy+RY2HwJXI23MXNfOzpWyHs3Wu+Q0mHDLu11Q2si7Zhbe07ISIyweBL5Gx69wb87/ZSTUwELlyw73ycCXv6Vgh795rPeNMK7tZG5HgYfImcjZcXMGiQfM5yh4pjT99ysXevZUzqe7lbG5HDYfAlckZsa2Y+9vQtE3v3mu/i7Yu4lH4JAODr4Yt+9fvZd0JEVAyDL5EzGjpU3sXtyBEgLc2u03EqnTsDYWHi+OZNYP9++87Hwfxz9h/D8YgmI9i7txK2XJJ/CL2nwT3wdve242yIqCT8jkbkjEJDga5dxTF3casctRoICpLPPT3tNxcH5KmWfz+CfYLtOBPnY1zfy24ORI6JwZfIWbGtmXkkCbh2TT6PirLbVBxRVLUow/G1jGulX0gm7uTdMdmt7d7G99pxNkRUGgZfImdlHHx37GCtakVlZIjNPwDA1xeoUcO+83EwJsE3k8G3orZd3mbY8KNTnU4I8w+z84yIqCQMvkTOqnlzoH59cZydzVrViiq62st2Uya44mse4/peljkQOS4GXyJnpVIBw4bJ5+zuUDEscygTV3wrr1BbiG2X5Tr7YY2HlXE1EdkTgy+RMyta58td3MrH4Fummn41Dd0IMvIzkJGfYecZOb6DSQeRWZAJAKgXWA9tarWx84yIqDQMvkTOrHdvsSkDIALduXP2nY8zuHpVPmbwLUalUpms+l7PvG6/yTgJk93aGnO3NiJHxuBL5Mw8PU13cWO5Q/m44lsu4+B7NeNq6RcSJElifS+RE2HwJXJ23MWtchh8yxUVFGU4Zp1v2RLSE3D5zmUAgJ+HH/rW72vnGRFRWRh8iZzd0KGA292/ykeOALdu2XU6Do09fCuEnR0qzrjM4Z5o7tZG5OgYfImcXY0a8i5ukgRs3Wrf+Tgy9vCtEHZ2qDiWORA5FwZfoqqA5Q4Vwx6+FcIV34q5nXsbh5IOAQBUUOHeRtytjcjRMfgSVQXcxa1iWOZQIVzxrZhtV7ZBJ+kAiN3aavnXsvOMiKg8DL5EVUGzZkCDBuI4JwfYt8++83FUDL4Vwl6+FRN/Kd5wzDIHIufA4EtUFahUpqu+ixdzM4uSsIdvhbCXb/muZ143Db5NGHyJnAGDL1FV8cgj8vGmTcCKFfabi6Piim+FsZdv6bQ6LV7d+CpyCnMAAM1qNEOrmq3sPCsiqggGX6KqoksXYOJE+fzdd4ErV+w3H0ej0ZjubMfgWybjXr6nb56230Qc0M+Hf8a+66KcyE3lhnn3zeNubUROgsGXqCr59FOgSRNxnJMDTJ8uAh8B33wDJCaKY29v+feJStSudjvD8U8Hf8K5W9wOGwCOpx7Hl3u/NJy/1estdKvXzY4zIqLKYPAlqkr8/IBFiwB3d3F+5Ajw/fd2nZJD2LcP+OEH+XzmTCAw0H7zcQLj24w3fHyfr83Hfzf8F/mafDvPyr5yCnPw8oaXodGJHya71O2CN3u9aedZEVFlMPgSVTUxMaLMQe+774BDh+w3H3tLTxcr3/qb/fr1A155xa5Tcgbe7t74v9H/Z+jucPbWWXy882M7z8q+PtzxIS6mXwQA+Hv64/eRv8Pdzd3OsyKiymDwJaqKpk8HevcWxzqdONfvWOZKJAl4800gOVmcV68OLFwob/FMZWoe2hyfD/rccP77v79j88XNdpyR/cRdjMOSE0sM518P+RrRIdF2nBERmYPf/YmqIrUa+O03IChInF+9Crz3nn3nZA9LlgAbN8rn8+cD4eH2m48TmhgzEfc3vd9w/lrca0jJSrHfhOzgRvYNvBH3huF8dPPReLzN43acERGZi8GXqKqKiDCta12xAli71n7zsbXz54EPPpDPJ08G7rvPfvNxUiqVCvOGz0OdgDoAgPS8dLy66VXDjmVVnSRJeC3uNdzOuw0AqBNQBz8O+5FdHIicFIMvUVX2yCPAuHHy+cyZQFKS/eZjK/n5wLRpQF6eOG/ZEvjkE/vOyYlV962OhSMXQgUR9nZf3Y15h+bZeVa28fux37H9ynbD+a/3/4oQnxA7zoiILMHgS1TVffON3LM2IwN49VVR91uVzZkDnD0rjr29xU52Pj72nZOT61u/L17r8Zrh/Mu9X+JYyjE7zsj6zt06h493yTf0vdz1ZfRv0N+OMyIiSzH4ElV1QUHA77/LN3Tt3StqXauqLVvEDWx6n34qVnzJYrP6zELnOp0BABqdBi9teAlZBVXzpskCbQFe2vASCrQFAIC2YW3xXj8XrJMnqmIYfIlcQffuwOuvy+dffAGcPGm36VhNairwmrwqiREjgEmT7DefKsZD7YE/Rv2BAM8AAMCVO1fw7tZ3y3mVc/ps92c4c+sMANHabdEDi+Dl7mXnWRGRpRh8iVzF228DnTqJ48JC4KWXgNxc+85JSTqdKOO4LW5CQng4MG8ewJuQFNUguAF+GCbfNLnyzEr8feZvO85IeTuv7MSCIwsM55/c8wmahza344yISCkMvkSuwsND7Orm5yfOExKAj6vQhgTz5wO7doljlUqUd9SoYd85VVFjWo3B+DbjDecz42ci8U6iHWeknNu5tzEjbobhfGijoZjccbIdZ0RESmLwJXIlDRsCX34pn//xh6iJdWZZWcD//idqefVmzAD69rXfnFzAN0O+QXSw2MAhuzAbY5aPwfrz6yHpd8hzQpIk4a0tbyE1OxUAEOobivn3zWfrMqIqhMGXyNU8+STwwAPy+euvAzdv2m8+5pIkYMMGYOhQ4Ndf5U4VnToBs2fbd24uIMArAItHLTZs2ZuanYqpsVPx3JrncDXjqp1nZ55lp5ZhY4K84cn8EfNRy7+WHWdEREpj8CVyNSoV8NNP8g5maWnA008Dx5yoNdXVq+KmtSlTgBSjXcT69wdWrhRlHWR1Het0xF8P/YWafjUNj8Vfjse9f9yLnw7+hEJtoR1nV3EanQa/Hv0V72973/DYpA6TMKzxMDvOioisQWWnj6Wc97Mwoqpi40Zg4EDTx0aNEje9Va9unzmVp7AQWLAA+PZbeXMKAKhZE/j8c+DRR53yZraYmBgAwMGDB+08E/Pczr2N1+Nex48Hf4Rk9O29UUgjzO47GzG1Y+w4u7LtvboX7217D2fTzhoea1qjKQ4+exC+Hr52nBkRAVD8GzqDL5Er++Yb4OWXxU5negEBYiV17FjA3d1+cyvq4EFg1ix5YwpAhNyJE0WNb3Cw3aZmKWcPvnp7ru7Bc2uew9GUoyaPP9j8Qbzc7WVU865mn4mVICkzCR/t/Ajrzq8zebxRSCOsemQVmoU2s9PMiMgIgy8RKSwhQWzvu3q16eONGwNvvgl07myfeemlp4vthpcuNX28TRvghx+ALl3sMi0lVZXgC4iygS/3fImZ8TORXZhteDzYOxgzeszAiCYj7HqzWL4mH/OPzMePB35ErkZu5+fn4Ye3er2FF7u8yH69RI6DwZeIrCQ2Fpg6FTh3zvTxIUNEf9zatW07H0kCVq0CPvxQ7s0LiHZss2cDL7zgWCvSFqhKwVfvyp0reCH2Baw8vdLk8U51OmFWn1mGjhC2tOXiFvxvx/9w5c4Vk8fHtBqDjwd8jDqBdWw+JyIqE4MvEVlRfr7Y1e3dd4FsebUOPj7Ac8+JjhCentafx4ULoqxh3z7Tx++/X7Rji4iw/hxsqCoGX73VZ1bjP2v/g8QMuc+vh5sHnm7/NJ7r8By83b2tPodL6Zfwv+3/w9bLW00eb12rNb4e8jV6Rfay+hyIyCwMvkRkA9euAa+8Ivr8GouIEO3PrNUjNy8P+PFHYO5ccSObXr16oh75vvus8752VpWDLwBkFWRhdvxsfL7nc2glreHxiKAIzOw9Ez0ieljlfbMLsvHjwR8x//B8FOrk/5+qeVfDe33fw8QOEw3t2IjIITH4EpENbd8O/Oc/xVud9e4tAnBUVOXG0+lEz+DkZPGVlCT+m5Iiji9dEu3V9NRqUX88cybg72/pr8ZhVfXgq3cs5RgmrpmIPVf3mDzeILgBwv3DUcu/Fmr710aYf5jhq3ZAbfh7Vu7PXpIkrD23Fh/t/Agp2XK7OxVUeLr903i/3/sI9QtV5NdERFbF4EtENqbRiFXYN98UN5rpeXiI0ofnngN8fcsPtSkp4kujqdj7du0qbl5r3doqv6yKOnfuHJYvX47169fj3LlzSElJQXBwMLp06YIXX3wRfRVY/XaV4AsAOkmHeYfm4dVNryI9L71Cr/Hz8EPtgNoI8wsrNxyfuXkG7217D/uum5bJdKnbBV8P+Rodwjso/UsiIuth8CUiO7l5E3jjDVGGYPx9IyRE1ABXJtSWpXp10Z7s6afx/+3dX2he9R3H8c9JGq1V0DVOu8Zhp6BrGVaRERBlAWeHTNAiRE1KvfBGZPTKq90IvVPYRcW7wSraWVxEVmF1EIT0ZnjTq+GC6LAxYSBW23Vua2zTs4sYZmtM888+bb+vFzw8yZOT83wvwsObk985J12dv8fO448/ntdffz1btmzJvffem/Xr1+f999/PW2+9lZmZmezZsye7du1a0XtUCt85n3zxSZ4dfTav/fW1nGnPrHh/V/dcnRuvuTETxyfOWk5xw9U35PmfP5+dW3emq+n83xOwJMIX6LDDh2eXP7z77vm3nU9v7+ya3Ztumn3MfT33fPPNF+YEukV6+eWXs3Xr1tx1111nvX7o0KE88MADaZomR44cyQ9WcNWLiuE75/jJ4zly/EimTkxl8p+TmToxlal//f/ryROTOXn65Pl3dI7upju7+nfluZ89l2vXXvsdTA5cAMIXuAicOZO8+ursZc6+fsvgr0ftuc9zj6uu6tzcq2zbtm0ZHR3NG2+8kUcffXTZ+6kcvufTtm0+/+/nmTzxVRTPBfICcXz/j+7Piw++mC3f39LByYFVsOrh63RWYOm6upInn0wGB5P33kuuuy7p67usonYxenp6kiRrLpPrCV+MmqZJ77re9K7rzZ0b7px3m7k4njoxlbVr1ua23ts6epMM4OLliC/AMkxMTOT2229Pd3d3pqam8r1F3DJ57sjuucbHx7N582ZHfAHO5ogvQKdNT09neHg409PTeeGFFxYVvQB0niO+wGVv06ZNmZiYWPT2w8PD2bdv37w/m5mZyRNPPJGRkZE89thj2b9//4r/rW6NL8C8HPEFWKpbb701a9cu/ta4GzdunPf1mZmZ7NixIyMjIxkcHMy+ffusJQW4hAhf4LL3zjvvrHgfp0+fztDQUEZGRjI0NJRXXnkl3d3dqzAdABeK8AU4jy+//DKDg4M5cOBAdu7cmb1796brIri5BgBL45MbYAHT09PZvn17Dhw4kKeeekr0AlzCHPEFWMDTTz+dgwcP5vrrr09fX1927979jW0GBgYyMDBw4YcDYEmEL8ACPvrooyTJ0aNH543eOcIX4OInfAEWMDY21ukRAFglFqoBAFCC8AUAoAThCwBACcIXAIAShC8AACUIXwAAShC+AACUIHwBAChB+AIAUILwBQCgBOELAEAJwhcAgBKELwAAJQhfAABKEL4AAJQgfAEAKEH4AgBQgvAFAKAE4QsAQAnCFwCAEoQvAAAlCF8AAEoQvgAAlCB8AQAoQfgCAFCC8AUAoAThCwBACcIXAIAShC8AACUIXwAAShC+AACUIHwBAChB+AIAUILwBQCgBOELAEAJwhcAgBKELwAAJQhfAABKEL4AAJQgfAEAKEH4AgBQgvAFAKAE4QsAQAnCFwCAEoQvAAAlCF8AAEoQvgAAlCB8AQAoQfgCAFCC8AUAoAThCwBACcIXAIAShC8AACUIXwAAShC+AACUIHwBAChB+AIAUILwBQCgBOELAEAJwhcAgBKELwAAJQhfAABKEL4AAJQgfAEAKEH4AgBQgvAFAKAE4QsAQAnCFwCAEoQvAAAlCF8AAEoQvgAAlCB8AQAoQfgCAFCC8AUAoAThCwBACcIXAIAShC8AACUIXwAAShC+AACUIHwBAChB+AIAUILwBQCgBOELAEAJwhcAgBKELwAAJQhfAABKEL4AAJQgfAEAKEH4AgBQgvAFAKAE4QsAQAnCFwCAEoQvAAAlCF8AAEoQvgALmJyczDPPPJP+/v5s2LAhV155ZTZu3Jj77rsve/fuzalTpzo9IgCL1LRt24n37cibAizV2NhYHn744fT39+eWW27J+vXr89lnn+Xtt9/O5ORkBgYGMjo6mjVr1iz7Pe6+++4kyeHDh1drbIDLQbPaO1z+JzVAAffcc0+OHTuWrq6z/0F26tSpbNu2LWNjY3nzzTczODjYoQkBWCxLHQAWcMUVV3wjepOkp6cnjzzySJLkgw8+uMBTAbAcwhdgGWZmZnLw4MEkyR133NHhaQBYDEsdABbh6NGjeemll9K2bT799NOMjo7mww8/zNDQUB566KFF7WNuLe+5xsfHs3nz5tUcF4B5dOrkNoBLStM0P04y/rWX2iS/SfLrtm0XdWmHpmm+7ey1TUn+3Lbt8IqGBGBBwhe47DVNcyTJzUv4ld+3bbvjW/bVnaQvyfYku5P8Lckv27b9fKVzAvDdstQBqODvSU4uYft/fNsP2radSfJxkj1N03ySZH9mA/hXK5oQgO+cI74Ay9Q0zbVJjid5r23bn3R4HADOw1UdAJav76vn0x2dAoBFEb4AC2iapr9pmnXzvH5Nkj1fffunCzsVAMthqQPAApqm+WOSgSSHMru29z9JfpjkwSTXJflLkl+0bftFZyYEYLGc3AawsN8m+XeSn2Y2gNclOZbkcJI/JPld27aWOgBcAhzxBQCgBGt8AQAoQfgCAFCC8AUAoAThCwBACcIXAIAShC8AACUIXwAAShC+AACUIHwBAChB+AIAUILwBQCgBOELAEAJwhcAgBKELwAAJQhfAABKEL4AAJQgfAEAKOF/RY9x3vmf3rkAAAAASUVORK5CYII=\n", "text/plain": [ "
" ] }, "metadata": { "image/png": { "height": 350, "width": 351 }, "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "A = np.array(\n", " [[ 1, 0],\n", " [ 0,-1]])\n", "B = np.array(\n", " [[-1, 0],\n", " [ 0, 1]])\n", "dm.plotSetup()\n", "dm.plotShape(note)\n", "dm.plotShape(A @ note,'g')\n", "dm.plotShape(B @ (A @ note),'r')\n", "plt.annotate(\"\",\n", " xy=(0.75, -0.65), xycoords='data',\n", " xytext=(0.75, 0.75), textcoords='data',\n", " size=20, va=\"center\", ha=\"center\",\n", " arrowprops=dict(arrowstyle=\"simple\",\n", " connectionstyle=\"arc3,rad=0.3\"),\n", " );\n", "plt.annotate(\"\",\n", " xy=(-0.75, -0.75), xycoords='data',\n", " xytext=(0.75, -0.85), textcoords='data',\n", " size=20, va=\"center\", ha=\"center\",\n", " arrowprops=dict(arrowstyle=\"simple\",\n", " connectionstyle=\"arc3,rad=0.3\"),\n", " );" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 9 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "As we saw, to reflect a point through the $x_1$ axis, we multiply it by matrix $A = \\left[\\begin{array}{rr}1&0\\\\0&-1\\end{array}\\right]$.\n", "\n", "Likewise, to reflect a point through the $x_2$ axis, we multiply it by matrix $B = \\left[\\begin{array}{rr}-1&0\\\\0&1\\end{array}\\right]$." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 10 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "So, another way to reflect point ${\\bf u}$ through the origin would be:\n", "\n", "* ${\\bf v} = A{\\bf u}$\n", "* Followed by ${\\bf w} = B{\\bf v}.$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 11 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "In other words, ${\\bf w} = B(A{\\bf u}).$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "What we are doing here is called __composing__ transformations.\n", "\n", "In a composition of transformations, we take the output of one transformation as input for another transformation." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 12, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "fragment" } }, "source": [ "Now, here is the key point:\n", "\n", "It is clear that $B(A{\\bf x})$ and $C{\\bf x}$ are the __same__ linear transformation. \n", "\n", "So, using $C$ we can go directly to the solution using one multiplication, rather than having to multiply twice (once for $A$ and once for $B$)." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 12, "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "So a natural question is: given $A$ and $B$, could we find $C$ directly?\n", "\n", "In other words, for any $A$ and $B$, could we find $C$ such that:\n", "\n", "$$ A(B{\\bf x}) = C{\\bf x}? $$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 14 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "Let's determine how to find $C$ given $A$ and $B.$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 15 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "If $A$ is $m \\times n$, $B$ is $n \\times p$, and ${\\bf x} \\in \\mathbb{R}^p,$ denote the columns of $B$ by ${\\bf b_1},\\dots,{\\bf b_p},$ and the entries in ${\\bf x}$ by $x_1, \\dots, x_p.$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 16 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "Then:\n", "\n", "$$ B{\\bf x} = x_1{\\bf b_1} + \\dots + x_p {\\bf b_p}. $$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 17 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "and:\n", "\n", "$$A(B{\\bf x}) = A(x_1{\\bf b_1} + \\dots + x_p {\\bf b_p})$$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 18 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "Since matrix-vector multiplication is a linear transformation:\n", "\n", "$$ = x_1A{\\bf b_1} + \\dots + x_pA{\\bf b_p}. $$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 19 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "So the vector $A(B{\\bf x})$ is a linear combination of the vectors $A{\\bf b_1}, \\dots, A{\\bf b_p},$ using the entries in ${\\bf x}$ as weights." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 20, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "fragment" } }, "source": [ "A linear combination of vectors is the same as a matrix-vector multiplication. In matrix terms, this linear combination is written:\n", "\n", "$$ A(B{\\bf x}) = [A{\\bf b_1} \\; \\dots \\; A{\\bf b_p}] {\\bf x}.$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "So this matrix $[A{\\bf b_1} \\; \\dots \\; A{\\bf b_p}]$ is what we are looking for!" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "## Matrix Multiplication" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 20, "slide_type": "subslide" }, "slideshow": { "slide_type": "fragment" } }, "source": [ "__Definition.__ If $A$ is an $m \\times n$ matrix and $B$ is $n \\times p$ matrix with columns ${\\bf b_1},\\dots,{\\bf b_p},$ then the product $AB$ is defined as the $m \\times p$ matrix whose columns are $A{\\bf b_1}, \\dots, A{\\bf b_p}.$ That is,\n", "\n", "$$ AB = A[{\\bf b_1} \\; \\dots \\; {\\bf b_p}] = [A{\\bf b_1} \\; \\dots \\; A{\\bf b_p}]. $$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 22 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "This definition means that for any $A$ and $B$ for which $AB$ is defined, then if $C$ = $AB$,\n", "\n", "$$ C{\\bf x} = A(B{\\bf x}). $$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 23 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "That is: _multiplication of matrices_ corresponds to _composition of linear transformations._ " ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 24, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "fragment" } }, "source": [ "Note that when $C = AB$, $C{\\bf x}$ is a vector _in the span of the columns of $A.$_ " ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 24, "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "__Example.__ Compute $AB$ where $A = \\left[\\begin{array}{rr}2&3\\\\1&-5\\end{array}\\right]$ and $B = \\left[\\begin{array}{rrr}4&3&6\\\\1&-2&3\\end{array}\\right].$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 26 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "__Solution.__ Write $B = \\left[{\\bf b_1}\\;{\\bf b_2}\\;{\\bf b_3}\\right],$ and compute:\n", "\n", "$$ A{\\bf b_1} = \\left[\\begin{array}{rr}2&3\\\\1&-5\\end{array}\\right]\\left[\\begin{array}{r}4\\\\1\\end{array}\\right],\\;\\;\\;\n", "A{\\bf b_2} = \\left[\\begin{array}{rr}2&3\\\\1&-5\\end{array}\\right]\\left[\\begin{array}{r}3\\\\-2\\end{array}\\right],\\;\\;\\;\n", "A{\\bf b_3} = \\left[\\begin{array}{rr}2&3\\\\1&-5\\end{array}\\right]\\left[\\begin{array}{r}6\\\\3\\end{array}\\right],$$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 27 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "$$ = \\left[\\begin{array}{r}11\\\\-1\\end{array}\\right]\\;\\;\\;\\left[\\begin{array}{r}0\\\\13\\end{array}\\right]\\;\\;\\;\\left[\\begin{array}{r}21\\\\-9\\end{array}\\right].$$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 28, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "fragment" } }, "source": [ "So:\n", "\n", "$$ AB = \\left[A{\\bf b_1}\\;A{\\bf b_2}\\;A{\\bf b_3}\\right] = \\left[\\begin{array}{rrr}11&0&21\\\\-1&13&-9\\end{array}\\right].$$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 28, "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "__Example.__ Verify that reflection through the $x_1$ axis followed by reflection through the $x_2$ axis is the same as reflection through the origin." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 30 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "$$\\left[\\begin{array}{rr}-1&0\\\\0&1\\end{array}\\right]\\left[\\begin{array}{rr}1&0\\\\0&-1\\end{array}\\right] = \\left[\\begin{array}{rr}~&~\\\\~&~\\end{array}\\right].$$" ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "$$\\left[\\begin{array}{rr}-1&0\\\\0&1\\end{array}\\right]\\left[\\begin{array}{rr}1&0\\\\0&-1\\end{array}\\right] = \\left[\\begin{array}{rr}-1&0\\\\0&-1\\end{array}\\right].$$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 31, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "fragment" } }, "source": [ "Note that this is a valid proof because __every linear transformation of vectors is defined by its standard matrix.__" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 31, "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "__Example.__ If $A$ is a $3 \\times 5$ matrix, and $B$ is a $5 \\times 2$ matrix, what are the sizes of $AB$ and $BA$, if they are defined?" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 33 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "$$\\begin{array}{cccc}A&B&=&AB\\\\\n", "3\\times 5&5 \\times 2&& 3 \\times 2\\\\\n", "\\left[\\begin{array}{rrrrr}*&*&*&*&*\\\\ *&*&*&*&*\\\\ *&*&*&*&*\\end{array}\\right] & \n", "\\left[\\begin{array}{rr}*&*\\\\ *&*\\\\ *&*\\\\ *&*\\\\ *&*\\end{array}\\right] & \n", "= &\n", "\\left[\\begin{array}{rr}*&*\\\\ *&*\\\\ *&*\\end{array}\\right]\n", "\\end{array}$$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 34 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "What about $BA$?" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 35 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "It is not defined, because the number of columns of $B$ does not match the number of rows of $A$." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "fragment" } }, "source": [ "__Facts.__\n", "\n", "If $A$ is $m\\times n$, and $B$ is $p \\times q$, then $AB$ is defined if and only if $n = p$. If $AB$ is defined, then it is $m \\times q$.\n", "\n", "$$\\begin{array}{cccc}A&B&=&AB\\\\\n", "3\\times \\fbox{5}&\\fbox{5} \\times 2&& 3 \\times 2\\\\\n", "\\end{array}$$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36, "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "## The Inner Product View of Matrix Multiplication" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 36 }, "slideshow": { "slide_type": "-" } }, "source": [ "Recall that the inner product of two vectors ${\\bf u}$ and ${\\bf v}$ is $\\sum_k u_k v_k.$ \n", "\n", "Also recall that one way to define the matrix vector product is $(A{\\bf x})_i =$ inner product of ${\\bf x}$ and row $i$ of $A$." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 39 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "This immediately shows another way to think of matrix multiplication:\n", "\n", "$(AB)_{ij} =$ inner product of row $i$ of $A$ and column $j$ of $B$\n", "\n", "$(AB)_{ij} = \\sum_k A_{ik}B_{kj}.$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 40 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "__Example.__ Start with the same matrices as the last example, $A = \\left[\\begin{array}{rr}2&3\\\\1&-5\\end{array}\\right]$ and $B = \\left[\\begin{array}{rrr}4&3&6\\\\1&-2&3\\end{array}\\right].$ Compute the entry in row 1 and column 3 of $C$." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 41, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "fragment" } }, "source": [ "\n", "$$AB = \\left[\\begin{array}{rr}\\fbox{2} & \\fbox{3}\\\\1&-5\\end{array}\\right]\n", "\\left[\\begin{array}{rrr}4&3&\\fbox{6}\\\\1&-2&\\fbox{3}\\end{array}\\right] = \n", "\\left[\\begin{array}{rrc}*&*&2(6)+3(3)\\\\ *&*&*\\end{array}\\right] = \n", "\\left[\\begin{array}{rrr}*&*&21\\\\ *&*&*\\end{array}\\right].$$\n", "\n", "This agrees with the result of the last example, and we could reproduce the whole solution by repeating this for each element of the result matrix." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 41, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" }, "tags": [ "remove-cell" ] }, "source": [ "``` {toggle}\n", "Question Time! Q9.1\n", "```" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 41, "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "## Matrix Algebra" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 41 }, "slideshow": { "slide_type": "-" } }, "source": [ "We've defined multiplication of two matrices. What about addition of two matrices?" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 45 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "This is straightfoward: if $A$ and $B$ are the same shape, we get $A + B$ by adding the corresponding elements. (Just like adding vectors.)\n", "\n", "That is, \n", "\n", "$$(A + B)_{ij} = A_{ij} + B_{ij}.$$\n", "\n", "If $A$ and $B$ are not the same shape, $A + B$ is undefined." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 46 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "Furthermore, we define scalar-matrix multiplication just as for vectors:\n", "\n", "$$ (rA)_{ij} = r(A_{ij}).$$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 47 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "So, just as we did for vectors, we can show that the standard properties of addition apply, and that scalar multiplication distributes over addition:\n", "\n", "1. $A + B = B + A$\n", "2. $(A + B) + C = A + (B + C)$\n", "3. $A + 0 = A$\n", "4. $r(A + B) = rA + rB$\n", "5. $(r + s)A = rA + sA$\n", "6. $r(sA) = (rs)A$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 48 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "Furthermore, we find that __some__ (but not all!) of the familiar properties of multiplication apply to matrix multiplication (assume that all sums and products are defined):\n", "\n", "1. $A(BC) = (AB)C$ \n", " * multiplication of matrices is associative\n", "2. $A(B+C) = AB + AC$ \n", " * multiplication on the left distributes over addition\n", "3. $(B+C)A = BA + CA$ \n", " * multiplication on the right distributes over addition\n", "4. $r(AB) = (rA)B = A(rB)$ \n", " * for any scalar $r$\n", "5. $I A = A = AI$ " ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 49, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "fragment" } }, "source": [ "Note that property 1 means that we can write $ABC$ without bothering about parentheses. " ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 49, "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "__Now, here is where things get different!__" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 51 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "* In general, $AB$ is __not__ equal to $BA$. Multiplication is not commutative!\n", "\n", " * Consider $A = \\left[\\begin{array}{rr}1 & 1\\\\1&1\\end{array}\\right]$ and $B = \\left[\\begin{array}{rr}1 & 1\\\\1&2\\end{array}\\right].$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 52 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "* In fact, even if $AB$ is defined, $BA$ may not be defined. " ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 53 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "* On the other hand, sometimes $A$ and $B$ __do__ commute.\n", " * Consider $A$ and $B$ as the reflections through the $x_1$ and $x_2$ axis. Then $AB$ and $BA$ both implement reflection through the origin (i.e., the same transformation.) So in this case $AB = BA$." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 54 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "* You cannot, in general, cancel out matrices in a multiplication. That is, if $AC = AB$, it does not follow that $C = B$. \n", " * Consider the case where $A$ is the projection onto one of the axes." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 55 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "* If $AB$ is the zero matrix, you cannot in general conclude that either $A$ or $B$ must be a zero matrix.\n", " * Consider $A = \\left[\\begin{array}{rr}1 & 0\\\\0&0\\end{array}\\right]$ and $B = \\left[\\begin{array}{rr}0 & 0\\\\0&1\\end{array}\\right].$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 55, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "-" } }, "source": [ "__Study and remember these rules. You will use them!__" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 55, "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "## Powers of a Matrix" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 55 }, "slideshow": { "slide_type": "-" } }, "source": [ "Equipped now with matrix-matrix multiplication, we can define the powers of a matrix in a straightforward way. For an integer $k > 0$:\n", "\n", "$$ A^k = \\overbrace{A\\cdots A}^k.$$\n", "\n", "Obviously, $A$ must be a square matrix for $A^k$ to be defined." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 59, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "fragment" } }, "source": [ "What should $A^0$ be?\n", "\n", "$A^0{\\bf x}$ should be the result of multiplying ${\\bf x}$ with $A$ zero times. So we define $A^0 = I$." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 59, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" }, "tags": [ "remove-cell" ] }, "source": [ "``` {toggle}\n", "Question Time! Q9.2\n", "```" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 59, "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "## The Transpose of a Matrix" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 59 }, "slideshow": { "slide_type": "-" } }, "source": [ "Given an $m \\times n$ matrix $A,$ the _transpose_ of $A$ is the matrix we get by interchanging its rows and columns.\n", "\n", "It is denoted $A^T$. Its shape is $n \\times m$." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 63 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "For example, if:\n", "\n", "$$\n", "\\begin{array}{ccc}\n", "A = \\left[\\begin{array}{rr}a&b\\\\c&d\\end{array}\\right],&\n", "B = \\left[\\begin{array}{rr}-5&2\\\\1&-3\\\\0&4\\end{array}\\right],&\n", "C = \\left[\\begin{array}{rrrr}1&1&1&1\\\\-3&5&-2&7\\end{array}\\right]\n", "\\end{array}\n", "$$\n", "\n", "Then:\n", "\n", "$$\n", "\\begin{array}{ccc}\n", "A^T = \\left[\\begin{array}{rr}a&c\\\\b&d\\end{array}\\right],&\n", "B^T = \\left[\\begin{array}{rrr}-5&1&0\\\\2&-3&4\\end{array}\\right],&\n", "C^T = \\left[\\begin{array}{rr}1&-3\\\\1&5\\\\1&-2\\\\1&7\\end{array}\\right]\n", "\\end{array}\n", "$$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 64 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "The definition can be stated succinctly:\n", "\n", "$$A^T_{ij} = A_{ji}.$$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 65 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "__Rules for Transposes:__\n", "\n", "1. $(A^T)^T = A$\n", "2. $(A + B)^T = A^T + B^T$\n", "3. For any scalar $r$, $(rA)^T = r(A^T)$\n", "4. $(AB)^T = B^TA^T$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 65, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "-" } }, "source": [ "The first three are pretty obvious. \n", "\n", "The last one is a bit different. __Memorize it.__ You will use it: the transpose of a product is the product of the transposes __in reverse order__." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 65, "slide_helper": "subslide_end", "slide_type": "subslide" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "slide" }, "tags": [ "remove-cell" ] }, "source": [ "``` {toggle}\n", "Question Time! Q9.3\n", "```" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 65, "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "__Question:__ For a vector in ${\\bf x} \\in \\mathbb{R}^n$, what is ${\\bf x}^T$? " ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 69 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "__Answer:__ For the purposes of the definition, we treat ${\\bf x}$ as a $n \\times 1$ matrix. So its transpose is an $1\\times n$ matrix, i.e., a matrix with a single row." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 70 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "__Question:__ For two vectors ${\\bf x}$ and ${\\bf y}$, what is ${\\bf x}^T {\\bf y}$?" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 71, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "fragment" } }, "source": [ "__Answer:__ By the definition of matrix-vector multiplication, ${\\bf x}^T {\\bf y} = \\sum_{i=1}^n x_i y_i.$\n", "\n", "That is, ${\\bf x}^T {\\bf y}$ is the __inner product__ of ${\\bf x}$ and ${\\bf y}$. This simple construction is a very useful one to remember." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 71, "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "## The Computational Viewpoint" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 71 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "You recall in the last lecture I said that in Python/numpy:\n", "\n", " C = A @ B\n", " \n", "was the same as:\n", "\n", " for i in range(k):\n", " C[:,k] = AxIP(A, B[:,k])\n", " \n", "So now you know: `A @ B` is really _matrix multiplication_ of `A` and `B.` :)" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 74, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "fragment" } }, "source": [ "Matrix multiplication is a mainstay of computing. Thousands of applications rely heavily on matrix multiplication. \n", "\n", "Some examples include:\n", "\n", "* Computer graphics and animation\n", "* Google's algorithm for ranking search results\n", "* Modeling mechanical structures such as aircraft and buildings\n", "* Compressing and decompressing audio signals\n", "* Weather modeling and prediction\n", "* Modeling quantum computing\n", "\n", "So minimizing the time required to do matrix multiplication is immensely important." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 74, "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "### Complexity\n", "\n", "What is the computational complexity of matrix multiplication?" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 76 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "For two $n \\times n$ matrices, consider the definition that uses inner product:\n", "\n", "$$ (AB)_{ij} = \\sum_{k=1}^n A_{ik}B_{kj}.$$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 77 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "So each element of the product $AB$ requires $n$ multiplications and $n$ additions.\n", "\n", "There are $n^2$ elements of $AB$, so the overall computation requires \n", "\n", "$$2n \\cdot n^2 = 2n^3$$ \n", "\n", "operations." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 78 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "That's not particularly good news; for two matrices of size 10,000 $\\times$ 10,000 (which is not particularly large in practice), this is 2 trillion operations (2 teraflops)." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 79 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "What is the computational complexity of matrix-vector multiplication?\n", "\n", "We know that matrix-vector multiplication requires $n$ inner products, each of size $n$. \n", "\n", "So, matrix-vector multiplication requires \n", "\n", "$$2n^2$$\n", "\n", "operations." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "slide" } }, "source": [ "### Order matters!\n", "\n", "When you look at a mathematical expression involving matrices, think __carefully__ about what it means and how you might efficiently compute it." ] }, { "cell_type": "markdown", "metadata": { "slideshow": { "slide_type": "fragment" } }, "source": [ "__For example:__\n", "\n", "What is the most efficient way to compute $A^2{\\bf x}$?\n", "\n", "Here are your choices:\n", "\n", "1. First compute $A^2$, then compute $(A^2){\\bf x}$\n", "2. First compute $A{\\bf x}$, then compute $A(A{\\bf x})$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 81, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "fragment" } }, "source": [ "1. First compute $A^2$, then compute $(A^2){\\bf x}$: \n", "\n", "$$2n^3 + 2n^2.$$\n", "\n", "2. First compute $A{\\bf x}$, then compute $A(A{\\bf x})$: \n", "\n", "$$2 \\cdot 2n^2 = 4n^2.$$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 81, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "fragment" } }, "source": [ "Again, if we are working with a square matrix with 10,000 rows, then\n", "1. $(A^2){\\bf x}$ requires 2 Trillion flops\n", "2. $A(A{\\bf x})$ requires 4 Million flops\n", "\n", "Which would you choose? :)" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "cell_style": "split", "hide_input": true, "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/jpeg": 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\n", "text/plain": [ "" ] }, "metadata": { "image/jpeg": { "height": 250 } }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "One Million Pennies\n" ] } ], "source": [ "# source: https://www.imaginationstationtoledo.org/education-resources/diy-activities/what-does-a-trillion-dollars-look-like/\n", "display(Image(\"images/one_mill_a-295x300.jpg\", height\n", "= 250)) ; print('One Million Pennies')" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "cell_style": "split", "hide_input": true, "tags": [ "hide-input" ] }, "outputs": [ { "data": { "image/jpeg": 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"text/plain": [ "" ] }, "metadata": { "image/jpeg": { "width": 435 } }, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "One Trillion Pennies\n" ] } ], "source": [ "display(Image(\"images/one_trillion_a-300x217.jpg\", width = 435)) ; print('One Trillion Pennies')" ] }, { "cell_type": "markdown", "metadata": { "cell_style": "center", "hide_input": false, "internals": { "frag_helper": "fragment_end", "frag_number": 81, "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "### Parallelization\n", "\n", "Although matrix multiplication is computationally demanding, it has a wonderful property: it is _highly parallel_. \n", "\n", "That is, the computation needed for each element does not require computing the other elements. \n", "\n", "(This is not true, for example, for Gaussian elimination; think about the role of a pivot.)" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 83 }, "slideshow": { "slide_type": "fragment" } }, "source": [ "This means that if we have multiple processors, and each has access to $A$ and $B$, the work can be divided up very cleanly.\n", "\n", "For example, let's say you have $n$ processors. Then each processor can independently compute one column of the result, without needing to know anything about what the other processors are doing. \n", "\n", "Specifically, processor $i$ can compute its column as $A{\\bf b_i}$. \n", "\n", "In that case, since all processors are working in parallel, the elapsed time is reduced from $2n^3$ down to $2n^2.$" ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 84, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "fragment" } }, "source": [ "Even better, say you have $n^2$ processors. \n", "\n", "Then each processor can compute a single element of the result, \n", "$(AB)_{ij}$ as $\\sum_{k=1}^n A_{ik}B_{kj}$. \n", "\n", "Then the elapsed time is reduced all the way down to $2n$. \n", "\n", "This sort of strategy is used for huge computations like web search and weather modeling." ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 84, "slide_type": "subslide" }, "slideshow": { "slide_type": "slide" } }, "source": [ "### The Importance of Libraries\n", "\n", "The pervasive use of matrix multiplication in science and engineering means that very efficient and carefully constructed libraries have been developed for it.\n", "\n", "Important issues for high performance include:\n", "* how are the matrix elements actually laid out in memory?\n", "* what is the order in which matrix elements are accessed?\n", "* what are the architectural details of the computer you are using? \n", " * memories, caches, number of processors, etc\n", "\n", "The premier library is called __LAPACK.__\n", "\n", "LAPACK has been developed over the past 40 years and is updated frequently to tune it for new computer hardware. " ] }, { "cell_type": "markdown", "metadata": { "internals": { "frag_helper": "fragment_end", "frag_number": 86, "slide_helper": "subslide_end" }, "slide_helper": "slide_end", "slideshow": { "slide_type": "fragment" } }, "source": [ "Python's \"numpy\" uses LAPACK under the hood for its matrix computations.\n", "\n", "Hence, even though Python is an interpreted language, for doing intensive matrix computations it is very fast, just as fast as compiled code." ] } ], "metadata": { "celltoolbar": "Slideshow", "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.18" }, "rise": { "scroll": true, "theme": "beige", "transition": "fade" } }, "nbformat": 4, "nbformat_minor": 1 }