{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": true }, "outputs": [], "source": [ "# %load ../../preconfig.py\n", "%matplotlib inline\n", "import matplotlib.pyplot as plt\n", "import seaborn as sns\n", "plt.rcParams['axes.grid'] = False\n", "\n", "from __future__ import division\n", "\n", "#import numpy as np\n", "#import pandas as pd\n", "#import itertools\n", "\n", "import logging\n", "logger = logging.getLogger()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "18 B-Trees\n", "======\n", "B-Trees are balanced search trees, similar to red-black trees, but they are better at minizing disk I/O operations.\n", "\n", "We use the number of pages read or written as a approximation of the total time spent accessing the disk.\n", "\n", "A B-tree node is usually as large as a whole disk page, and this size limits the number of children a B-tree node can have." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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jpcQ7d7gRdoOd27djMBhQKpQolAqcnV3wqeyDd4UKWFvL6RAl6Wl76GD8Z81m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\nBMQtAdm3YVhmmLm/PzAEn3qq1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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(plt.imread('./res/fig18_3.png'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 18.1 Definition of B-trees\n", "#### Properties\n", "1. node attributes: \n", " + $x.n$: the number of keys. \n", " + $x.\\text{keys}$: $x.\\text{key}_1 \\leq x.\\text{key}_2 \\leq \\dotsb \\leq x.\\text{key}_n$. \n", " + $x.leaf$: True if it is, False otherwise.\n", " \n", "2. Each internal node has $x.n+1$ points $x.c_1, \\dotsc, x.c_{x.n+1}$ to its children.\n", "\n", "3. $x.c_i.keys \\leq x.key_i \\leq x.c_{i+1}.keys$\n", "\n", "4. All leaves have the same depth $h$.\n", "\n", "5. **minimum degree** of the B-tree $T$: a fixed integer $t \\geq 2$. \n", " + Every node other than the root must have at least $t-1$ keys. \n", " + Every node may contain at most $2t-1$ keys. FULL.\n", " \n", "The simplest B-tree occurs when $t=2$: 2-3-4 tree.\n", "\n", "#### The worst-case height of B-tree\n", "If $n \\geq 1$, then for any $n$-key B-tree $T$ of height $h$ and minimum degree $t \\geq 2$. \n", "$$h \\leq \\log_t \\frac{n+1}{2}$$\n", "\n", "*Proof*:\n", "The root of a B-tree $T$ contains at least one key, and all other nodes contain at least $t-1$ keys." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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FkwUfuYEv3vRZpvisxA0bHs/fApbTl8W5X/glT1wfBK8Pjw2Mcx/mc6+v5/Kr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\ncPggkB3C4ETw8vtQyqT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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(15,10))\n", "plt.imshow(plt.imread('./res/fig18_4.png'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "the number $n$ of keys statisfies the inequality:\n", "$$ n \\geq 1 + (t-1) \\sum_{i=1}^h 2t^{i-1} = 2t^h -1$$\n", "\n", "B-trees save a factor of about $\\lg t$ over red-black trees in the number of nodes examined for most tree operations.\n", "\n", "`%maybe: exercise`" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 18.2 Basic operations on B-trees\n", "two conventions: \n", "\n", "1. The root of the B-tree is always in main memory.\n", "\n", "2. Any nodes that are passed as parameters must already have had a Disk-Read operation performed on them." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Searching a B-tree\n", "We make a multiway branching decision according to the number of the node's children. $O(t lg_t n) = O(t) \\times O(h)$." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#todo: code" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Creating an empty B-tree\n", "$O(1)$ time to allcate one disk page." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [], "source": [ "#todo: code" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Inserting a key into a B-tree\n", "As we trave down the tree, we split each full node we meet, in order to assure that the parent is always not full whenever we want to split a full node.\n", "\n", "(a) `B-TREE-SPLIT-CHILD(X,I)`" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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vyT6F0iWCsSAIwi38uGABsefO8eGUKWju8UxJISEhLF66lMWLFrH9v//u6b6F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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(plt.imread('./res/fig18_5.png'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "If $T$ is full tree, then create a new root node, and split them. (Height increase 1).\n", "\n", "(b)\n", "```\n", "B-TREE-INSERT(T,K)\n", " if T is FULL:\n", " S = B-TREE-CREATE()\n", " S.children = T\n", " R = B-TREE-SPLIT-CHILD(S)\n", " else\n", " R = T\n", " \n", " B-TREE-INSERT-NONFULL(R,K)\n", "```" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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WpzG0recaP2IeliPnIhzuD4xJp6jZug/aefM5ePoyxap5siqyAd/b1R8cZW1c\nIN9ULoQpNYY/VlzCv8/D7w8eJ3ZfNmjRogVVq1bN+u+TJ0/i6+tLampq1mdSU1Pxf0iTui/9+wBT\nxnegREAAZ49dwvabwjPYPH8DTzWomNUIljQDUYoVrda23kW1pLH2n2QUbSBbV//M1vORBNl+kZzY\ni+dJTVKwXD3AqlUr+eP3BUxbsJNnGlWyfSEkcv5QNK+2rePQUcOFLaEUCG5EuzebsvjnzcScP0dw\n51b42bwwlRM71oLFwG+/fM/Uz76n/FvD6Ne+lQPZ3B+rxYLZZEJRFIwZGSiKgsloxGw2Z/73zfeM\nRqxWK2azGZPJhKqqWa+ZTGZMZhNWqxWj0YiqqpjNZswWMxarBZPReGsZioLJZM78zpufVxTMJhNm\nsyVzeTc+bzIZUW58p9lsRrFaycjIQLFaMd14zWqxZH2nxWLOzPHGazkxZhhJNRhITk523mlxYxTL\nNx+mY9OnKF46lRPRtl/+sqTEsvlaKqUrPZ21HVtMyaQlpePrbdvRNJiIOnWcCoXi+X3uBP66XJ2C\nfnmrSEMi5w5G89oLjvYHS8kf3Jj2bz3Jkl82c/X8ecp1aIG/Pf3BznVgSeX3RT8w9dPvKf/WUPp1\naO1ANuImu++jfv311xkzZgw1atRg165dVKtWjRo1avDFF19gMpkwGo1ERERQoUKFB5HvbVTiD4aw\nK+wcx997l9TYGHxSj2JUGts0mMoSf47QGAtDKtwqijEXzmA2mShRwbYZijKS44mMvc4LH06jQ21/\nSqz5x641OH/+IBnFWtK3fx88AdPVI/y4YA3VypW2eRkZ57Zw0q0i40rf/MWqkJpmwceWzk1J4a+F\nF+m2qCD5CrfDe+FQFq97iQ7d+ti8k6vWDLZtv0KtJ7sydEgX9E48x9iqTRtatWkDwJJloQDUqVs3\n6/06deoAMGfeXACefe65rPcW/LIQgPoNGmS91vbFFwEYMWpk1mtdunYF4Ns5swFo/tRTWe89/ewz\nAIydMP62nDI7qOmff/6ffBo3bQpA3fr1s17rfGP5HTt3BiA5OZkL585nvnnbhBFarQZvb2+ebNaM\ngoUK8ff6dXdrkodHtbJxwWdcupLGqCGDSIg1EXfwIi+Wta0fiI++RFKKiboNbn5e5drJrVy15qNG\nxUI2LcOaeIxTl4owbc5Ail3bi2dkOdzy0jlvIOP8Vk66VXC4P/jjfxfouqQgBYq1w+fnISxa+zLt\nurxqe9FiwKDhAAAgAElEQVS3ZrB9+2VqNunCsKFdndofPE5sPqK+eSptwoQJTJ06lVdffZXDhw8z\ncOBAChYsyGuvvUbPnj3p3bs3w4cPx93d1l/BjjEnXODDCZuY9M1svp49mw/7PUuqMZwMs20jyi4f\n/wd3Tz3B5YtmvpARzdxpsynTaiAvNbXtNFtizEmuxpaiQdVCgAd1WzS0Yw0snNq+iWadmnHz+P3s\ngT34+HlRplTOI8YzKexbvpgqDStw88RU6tWzzFt3yKbotOjj7CvWlmJ+evyKlqFBsZLsOXqOigW9\nbF4LkyGB8PirVH6mseyUuUxVVdavW8exo0ezXtNqtXTp1o22L7xA7bp1GT9pYuaMYU6WHHWKDbF1\n+Hr2bL6eM5ueLzTh9M6T2DoJ8KWIoyQXfIYqxTP3hviIvYz7NIRWfUdQs6BtxxPnNq3ErWZ1SmpB\nX7geHWvbuh89LhT2rVhC5Qa39QfXzjFv3UGbotOjT7Cn+AsU99PjW7gMDUqUYnfYWSoW9LY5A1Nq\nEuHxMVR+ron0B7nIpj2gZMmSLF26FMici3XJkv+O6OzSpQtdunTJ3exuUBSF9PR0fHxuPGBeSWf5\n9/NQmrSlsLcbGtVMdLyR+Nhows7E0Lxa8f8sw5CSgu+N6+hKxnX+WLsPlCKcObSDUylX2bzjMJVb\nvcpHr7bDTfffLcxoNOLu7p71g8WUFM2a5StILVYIc1wSFA9Ed5e42+Pd3NwyH3ivWjm972/W/qPw\n3JMG0qwqXD/DovUH0KolSM/IAP87T9kpikJaWhq+vree3Xvt3CHmr0+gQN1YNq1fjzEtgT2b19L8\njYl3zcFgMNyKV9NZu3gVgeXrYMyw4O7lTec32xC+7Bw+7nc/f28yGnG7rQ1QjRzcsJqoKAONzGlY\nVcimCTCZTOj1+sw2ENlKSU4mLi4OY4Yxc5a+EiVYHBpCzZo17zgqd4Z//zsak6L45bvplK7/Jh5u\nOki/zvUYAxlH/+TkpWZUK53vP/FarRa9PrP7SYw8zfq/NuBfpDEHNm8gIeYsh4+E03zAFF5rW/c/\nR3OqqpKSnIx/QEDWa0kx4cz/YQ/+dZ4nNs1KIW9dtrdqpqWm4uXt/Ujc6nYvFy9ezLpNFjL7g5/W\nxRNY+1Z/sHfLWpr2m3DX+LTUNLy8vTLbQE1n7ZJV5Ctfm4wMC+5eXnR+ow0nQ87g43H3MpGamoqH\nh0fWvyOqkYMbVxEZaaCBKef+wGw2o6rqAz+oexy47FzfV69dz5pCNDExkU3rN9CxS+bpQFQrSfGJ\nWNARmC8QrUYhOTERi6Li7uWH311O8yxauJAevXqh1WpRFROJCSncOvbW4OHlg4+3xz1P8Rw6cJAq\nVavg5Z3561KxGElIyhww5+Xjj7dn9tfC/jl4kIqVK9/4saFiSErCaLGCxo3AfP5gSiXRkIEGDV5+\n/ni537lzpKSk8Oeq1XTv1TPrNWO6AUPav65farQEBASg1/23GIYsXkznbt3Q6XRAZhta0eAfkA+9\nTgOqiZjoJIoWv/upxiP/HKJCpcp4e9/8ha2QEp+ASQW9myf+/j7ZniILO3yYkqVLkz9/fgC2bNrE\ns88+I3N938X2bdsoVrw4pUqWQqPVOLUzmzF9Os+3aJU1hejxY8cIKlMm60efYs4gITkVrZsXgf7e\nYDWRlJiClbvvG6dOnMTH14dSpTMv8ZgzDCSn3rkde/n64+1x933KarUyd/ZsBgwalPWa2ZhGiiEd\nFS1+gYG4Z1chgFW//06rNm3w8Mg8Rbx/7x669+hhe6M8ZJFXrrBnz15q3bh8A9C/92vMv+0Ruffq\nD/wDAnC7S3/w1x+refa5Fnh6eZLVH6ga/ANt6w9279xFxUoVKVDw5pkL+/qDiLNnMRqNVH3iCQCO\n/PMPJUoUl7m+78Jl5/q+3c0BOlk0OgIKFLjtE1oC8uXPdhm339et0bqT7474nFmsljsGqmn1HhQo\nYPtIxswJGG4uQYNvQCC+t3/Aw4cCHj73jFdV9T/3pnt4+eLh5XuPiP+6M15HQP5/tYHG/Z47JYDF\ncvs6AGjx+/cysnFnG4jsNGve3Nkp3JPVar3zermbJwUK3DYAU+dOYDb7l9VqRbltXmc3T18KeNq+\nHQMYjRl3/O3m4U1+D9tP0ZrNJuwYeeqSMjLubAN7+wOz2Yya1Qj29wfKf/Zn+/oDxarkkSck3j85\nBymEEEK4MCnUQgghhAtzyWvUUVFRDB88hJTkZAAsVivJSUlZ1zYdcT02loIFCzo8Q5EhNRUvLy90\nDg6ESk1NxfM+4i2KQmJ8AgUL2nfK/naxcXEUKJAfjYOtcL/rkJqWhruHB266zGE+qqqyYPEiChWy\n7fYb4Rwrfl3O/Llzs053p6an4enh6fB2kJ6ejk6nc/i6uwpcu3qVIkWKOBQPEJ8QT2BgvqzJVZ5v\n1ZJh773n8PIetIT4eIYOepfY2x4NG3EuguBytt1KetdlJiYQ4B+I1sYZEP8txWDAy9Pz1mAyO2Vk\nZKCg4u15666Fr76dRfkHfmvvI0h9BFy/dk2d/e1397WMGZ9+plqtVofjN2/arKakpDgcv3XzZjUp\nKcnh+ISEBPXLmZ87HK+qqvrl55+rZrPZ4fjtW7eqycnJDsfv2L5DvXr1qsPxwjXs2b1bTUxMdDj+\nwP796unwcIfjzWazOnrkSIfjVVVV5/0wV01LS7uvZThb00aN7it+wU8/qakGg8Pxa/7+W42OjnY4\n/uiRMHXf3r0Ox+clcupbCCGEcGFSqIUQQggXJoVaCCHyrEd3wpe8RAq1EELkWS43lljchRRqIYQQ\nwoVJoRZCCCFcmBRqIYTIs+Qa9aNACrUQQuRZco36USCFWgghhHBhUqiFEEIIFyaFWggh8iy5Rv0o\nkEIthBB5llyjfhRIoRZCCCFcmBRqIYQQwoVJoRZCCCFcmBRqIYTIs2Qw2aPA5Qt1+KlTKIoCqkpU\nZKTd8YmJiaSlpQEQHx9PWmqqXfEZGRmkpKQAoKoqsbGxdsVbLBauXL6c9XdcbJxd8QCnw09jtVoB\nHGqD5ORkUm+sd2JiIgaDwa54Y0YGKcnJmX+oKrHXr9sVb7VauXTxYtbf9rahcA1Go5GkpKSsv+3d\nDhRF4cL58w7HA5w7dw6LxQI4ti+kp6dn7c+pqakkJibavQxnu3D+PGazGYCoqCi74zNu25/T0tJI\niI+3K95kMpGQkJD193U7/x1VVeVcRETW345sB3mNyxfqCxcusGHdepKTk1m/br3d8aqqErp0KSaT\nickTJuDp5WVXvNlkZurkKVgtFr6fPZvIK/Z1DjqdjpmfTSfibARRkVHs3bPbrniA6Ogo1vz9Nykp\nKaz9e43d8aqiELJ4MWazmYnjxuFlbxtYLEyZNAmz2cxPP/7IpYuX7IrX6XTM+vprwsNPEXs9lt07\nd9oVL1yDoihMnjCBjIwMlocuIzw83K54rVbLgp/+R9iRIyQnJ7Nt6za7czBmGPlt+XLS0tL4/bff\n7Y63Wq38smABimJl3Ecf4+HubvcynE1RVJaFhJCelsaKZb/aHW+1WlnwvwUoisKEcePQu7nZvYxJ\n4yeQkpLCur/XcPTIEbtiNRoNv6/4jX1792LMMLJp4ya7vz+v0Wf3ptlsZvTo0URFRWEymRg4cCDB\nwcGMHDkSrVZLhQoVGDduHBqNhtDQUEJCQtDr9QwcOJCnn346VxJ89rnneLF1aywWKyNGjrQ73tvb\nm7V/ryHySiQtWrVEq7Xvt4mvny9ms5lPJk/GkJLCu0OG2BWv0Who36kj7w0Zyg9z5vD9/Hl2xQM8\n2awZL7RqhdFo5P0RH9od7+XtzcYNG4mMjKRZ8+bodDq74n19fdHp9EwaP4GkpCTeePNNu3Po2Lkz\ngwYMZN4PP/Dt7Nl2xwvn8/LyIn/+/Hw8egyJCQnscOBHZ6cuXej32mt4eHoyfeZMu+OrVK3CyA8+\nID4ujoYNG9kd7+npyYEDB7h08RIVK1XCy9vb7mU4W7ngcrw3dCjJyckE5gu0O97T05OwI4e5eOEC\nQUFl8PPzsyve3d2dMmXLMHXyFNJSU9m+e5fdOXTo1InuXbrg5eXFhEmT7I7Pa7KtWqtXryZ//vws\nWrSIefPmMXHiRKZNm8bw4cNZtGgRqqqyceNGrl+/zsKFC1m6dCnz589n5syZmEymXEnQzc2NkqVK\nER8fT7ngYLvjPTw8eKJaNWJiomnZqpXd8RqNhvYdOnDp4kVatm6Fh4eH3ct46umn0ev1JCcnU7FS\nJbvjdTodQUFlSIhPoHyF8nbHu7u7U6NmTSKvXKFla/vbAKB9xw5cvnyZ555/3qHOrVHjxnh6eREf\nF0+lypUdykE4X7uOHYmJjqZx06b4BwTYHV+tejUCAgO5dvUqlatWcSiH4PLlSUxMpHIV+7cjvV5P\ng4YNuXD+vEP9gauoWLEiHu4eVH3iCbtjdTodjRo34VzEOZ53sA3ad+hASnIytWrXpmChQnbHly1X\nliJFihAZGenwdpCXZFuoW7duzeDBg4HM0156vZ4TJ05Qv359AJo3b86uXbs4evQoderUwc3NDV9f\nX4KCguw+LZaduvXqEeDvT8lSJR2Kb9m6FfkL5Hc4vmGjhhQtVoxOnTs7FA+ZR8UvvvQSnp6eDsXX\nq18fXz8/SpUq5VB8y9atyJc/P2XKlHEovk7dupQsVYrO3bo6FA+ZbdCydSu8H8GjGJGpSpUqBJcv\nT9f72A6aNW9GoyaNCQy0/2gQoEGDBnh7exMUFORQfItWrfD19aVa9WoOxbuC+g0b4u3jQ2lH26Bl\nS3x8fKhVq5ZD8aWDgqheowZd7ms7aM4T1apRuHBhh5eRV2R76vtmh2owGBgyZAhDhw7l008/zXrf\nx8eHlJQUDAbDHadPfHx87B6wlJ0mTZsSHR1t97XVm+rVr0+1atXJX6CAQ/F6Nzd69OxJWQeO6G9q\n3LSJQ0fTNzV5silnz5zG28fHofhatWtTq3YtChQo6FC8Tqeje48e97UOjZo0pmRJx34sCdeg0Wjo\n0rUrtevWdXgZ9Rs2pGmzZg7HN27ahHXr1pEvf36H4suVK8dTzzzj0JGgq2jcpDEVK1akYEHH9udS\npUvRomVLChV2vA3ad+xIs+ZPORxft349ypUPRqORkec50aiqmu0cctHR0QwaNIhevXrRsWNHnnrq\nKbZu3QrAhg0b2L17N02bNmX79u2MGzcOgEGDBjFw4ECecOC0zN1YLBYuX7pM2XJlHV7GuYgIh06d\n35QQH4+fvz96fba/be4pLjaW/AUKOLxRWq1WLl64cF/rcC7iHOWCyzkcn5CQgJ+fn+NtEBdHvnz5\n7B4nIFxLYmIivr6+Dm8H8fHx+Pn54ebAICbIHCB65vQZKlaq6FA8wIXzFwgqE/TIFglVVTkdfppK\nlR3/4XzxwgVKlS7t8P6YlJSEt7e3w/+OSYmJeHh6OnyWMS/JtlDHxsby6quvMm7cOBo1yhy4MWDA\nAPr160eDBg0YO3YsjRs3pn79+vTt25fly5djNBrp2rUrK1euxP0RHFEphBBCuJJsC/XkyZNZs2YN\nZcveOpIdM2YMU6ZMwWw2ExwczOTJk9FoNCxbtoyQkBAURWHgwIG0aNHioayAEEII8TjL8dS3c1i4\neCKchAwjaPRoNQpmixWdTkfxStUp7J3z7UWpMRGciU7GagU3dx1Wsxmtm5aAAmUoUyJfjvGKOZET\nx85jURS0ejcUqwVVo8c7X34qlcn5OqtiMXEm/BRpRitanQ4UK2bAzc2PatXKk/MaWLh4MpyEdCe2\ngSWRE0f/2wZe+fJT2cY2OHv6FKkZjraBcAWKJYkTR89hsSpo3W7bDgLzU7nsw9gO/rUvaFXMZot9\n+8LVCM5E/Xdf8C8QRNkSjl3rfric3wa5vh2oCmZVxc3Nl2rVKkh/kA3d+PHjxzs7iX9TDFF069GT\n01ZfIsa8z8QdV2hY3Z/JI0dQpf3rlPHL6Z/UzLKBTzN7VyoFdYd4Z9BEitSux+/jRnHUtykt6xTP\nceK82P0/0HX8Ugp4apkyeDBHtcGYjvzI74ev0+65nAfCJEUd4/Uur6MULshnY0dyMCKaMu7xfPjF\nNvq82ir7UXw32qB7j163tcFlGlYPYPLID+xrg50GCrkd4u13brVBmG8Tm9ogbv9cuoxbktUGYZpg\nzGE/svKf67R73rY26N/5VhsciIiirHsCI77YalMbCNcQd2AuXcYtpqC3jinv3tgOjv7E74eu2bQd\nJEcf5/XO/bEULsj0sSM5cDaKsh62bweKIZoePXtyyuJLxNgPmLj9Eo1qBDJl5AdUbvc6ZW3YF359\n+1m+25lCYfd/buwL9fl9/GiOeDehVd2c9wVnUwzR9OzVi1NmHyLGjmDi9os0qpHPvjZ45zm+25F8\nRxustKMN4g/My9wOfPRMefddjtzcDg5epV2L5jmuQ3LMCV7vlLkdzBg3igOnr1DWM4kPv9hCb+kP\nsqe6oMTI0+qiXSdV1ZqiftKiujpk6iJVVYzq3O9/Uw02xFvTr6pTpy5WUyyqeiz0Q7VOu7GqSVXV\n8OWfqdsupdmyBHX3z5+qZ2LT1OgTm9QmlZqoe2JMqpoWpi5bfdCmdYg6vUXdHx6tpl89pTarW039\nfFmYqihWdfXaNTbFZ7bBiVtt8Mkv9rVBxq02OB46MqsNTi//TN1qaxssuNUGTSs1vtUGq+xog1PR\navrVcLVZ3WrqzGVhqqooNreBcAVWdfeCaerp2DQ15tSWO7aDUBu3g+gzW9X9p6LU9GvhavO61dUZ\noWGqqtq+HSRFnlEX7czcF6a2qqkO/mShqiomdd4Ptu4L19Rp0zL3hRPLRqp12n2cuS+smK5uvWjL\nvuB8SVFn1MU326B1TXXwlJ/tb4NP76cNbm4HqWrMqS3qk5VvbgdH1dCVB2xah5gzW9V9J6PU9Gun\n1afqVVenhxxRVVVV/1jzt03xeZlLFuqb0qOPqJXLlVPn/n3CsQUoKeonrcuqH373m8M57Fw0Wn2i\nw2Q1w8H4iN3L1DoVKqv7o40Oxd9sgx/+Pu5YArnVBu3vpw1+va82EK5h9+LR6hPtJzm8HZzbs/y+\ntoOMmDC1Svlg9Ye/HN8XprYuq474drlj8S4gIyZMrVo+WP3+r2OOLSAX2mDPkjH3tx3sXaHWrVBZ\n3Sf9gc1c+j6ZC8f/QVEU6tV07LasjJhwlp3xpvYTjk5skM7WZat4uV1j7J+PLFN42AEMwX2oWsSx\nEfAXjh++0QaO3VaV2QZe998G7Rs53Aanj+6/rzYQriCdLctW8XI7x7eD8KP7MQT3dnxfOHEYxWql\nXi1H94XThJ7xpFbVGg7Fu4JbbeDYbZoZV++3DdLZHLqSl15ueB/9wT5SyvXmCekPbObShfqfsDD0\nhd+gfNGb99kpXD62j7EfLyHDhviIQ/uwePtRvVKJrNcObF3EoN79GDX5F3Ka5NRy7TjLjnnydI1b\n92uGH9jCsG7dGDDyS9KUnDIwcWDjJjr1fR7v2y8AKWbWzv2ETZfSclyHw2FH0Bd+gwpFb91reHr/\nKsaNH8/YGd9isWY/FjDi0D7M/2oDizGFLat+ZtonMzkea842/mYbPFX9Vhv8sfBLxo8bx8cfvM3n\nvx/LYQ1MHNhwZxsY48/wxYzP+WTiVEI2HCfHZhROZ7l2nNAwD56qfuu+XdWSzvHdK/lj6z82LOHG\ndtCnRdZ2kBZ7is+mjaFHt7dZs/sKOY1qPRJ2BF2h12/tC6qR7Qu/pV+X7kxb8BdKDguI+GcfZk9f\nalQpccfrVsNlFiwOtWEdnO9I2BG0hV6n4m39QeyFo0wc/zEjJ3xGnMmSbfy5Q/v/0wYWo4EtqzP7\ng2M29AehYR48VePWdrD371DGjhvH2I/e472PFpKe7b+DiQPrN9Gxz3N37w/WH5P+4C5cuFBbObFn\nK61Gd8M3q8hp8A/wZPeWazYtYdOBY3gWfYmgwjdmNDOf58TZIkz79gvcL28kPD37+PCdG9AWzUeF\noFuz92i8C/PpLwvwT4vkkjGHNYg7yrIwd15qfOcZgbhLe/nk60WkmXPaJK2c2LvtX22QxLJPFtCm\nS3/ee6sPel32Q0A2HzyOZ9GXb7UBsG7p16xLLs+wEcN4omD2kxVktUGZm22QTqkqTzNs+HAa++kp\nXbVMtvFK3DFC/9UGF3cs5i9TY0Z98DLrFoSSYzMIpzu9a2PmdlD2tpmstG7kL+7NxfMxOcYrcccI\nPeJ2x3awdVMEXd8YwWfv1mf+t99iynY7sHJ891ZajeqatS+Yk6/gVu1lZv88B83B9VhzuIFly8Fj\neBRtR5nb9gWUFGYOGMyGIxH3DnQZmW3QcmSX2/oD2Br6GdWad2Tk0AHkd89+SNbd2mB96NesSyzH\n0BHDqJZDf3B61yY0RQKpUObWtJ/ehYMZPnw4/Z4vT2KRJ/DMpktS4o8RckTPi41unRW5uHMpfxgz\n+4M1/5P+4G5cslBb0pP5/ZevWLs3jQIJx7iadLMiavDNnx+9Vpf9CEXVxOG/l7Bl804CSnkTFXXj\neatuQbza73l8fQPwKFyC4tmcu4k7u5evf9yE3urNuUu3OqIKFYP4Z8MyDscaCMzmGCAj6TJzZ8xE\n8XIjYu8J0m9sfMa4Myxcupshz9fCnM1aWNKTWfnL16zZk5rZBomZbWBNjsfnicrMG/0aXy5dzz37\npqw22EFgKa9bbUAya39aTkHNZaZMGMeR6Hsf1d/ZBldvvOpFzXq18PfzZoe5Eq0r+mbbBj/MmIHV\nS39HG5Ru1JUSm9+gZ8cxdBj5Lh4uuRWKm+Ii9vLVjxvRWbw5d/Fq1usarZ4CAQE53laTkXSFuTNm\nYPXUE7Hv1nbQuktbyhQIwF2Tgn9wI/T32A4sGZn7wt97UimQcDxrX3ALCKZORV9C5kzhuKnsvTuz\nG/vC5k07CCx9W38AHNjwB82nfkfTfK497tuSkcLKRf9tAxQDWu+q7Fgylb4f/4TpXmfYVBOH1yxl\n06bt/2qDZNbO/5UCXOaTCeM4nE1/EB+xj69+3IDe6s35S7e2g+p16xIY4M/WP6/y1is17tmrZW4H\nM7F6unFu/8lb/UHDLpTa/Do9O42h42jpD+7K2RfJ705RzWZz1v8U5dY7FsNltXXzb3IcyGC13Iq3\n3r4AVVVj93yhzgj9J/sMrNaseIv19nhFtZiN6tx3e6vjV5/NZgG3rYPFkhU7acRIdfeFS+q3XTuo\n87adVDPMlnst4J5tkJlfsvreG2+oGWbrPVO4axukHVPf7PuummFR1D0/TFNbf3vvEZv3bgNVNadF\nqbO+WHjv9b9nG6hqSsQm9amXp6tjO7yo9uw7XzUq2SxDOF1224ExYa86+6e/cljA3bcDVVVVS3q8\n2ueDOarBmt1GkN2+oKhmc5z6Yd9ealS66Z5LuOu+kLBXfe2N8eqVi0fUUQM/VGNiYlXX3RRz6A8U\nq/rdB6PUyFQ72yDtmPpm70FqmllR9877TG01y7H+QLGY1JFf/JDDKtyrP9isNnvpM3Vsp5fUHr3n\nSX9wFy7620WDXq/P+t8d0/EqCnhrc7znT6u7Fa+9bQFH96xk6u5gej3px+p1937Cl0arzYrXaW/F\nx8VeR6d3o2rVMhQonM1j/jS3rUPW8581vNC6GcfX/c351ESO7j+EwXiva0p3b4OMhBiuXDOgUYyU\nLlHijtxsagOvClRyN5FstKDTayhb7N4Tn9yrDQCid/2AX40G917/e7YBnN+1ibKvtGPC0tkUT95M\nupzrcmnZbQfodChYc1jA3bcDzHFMnTyW119twZWThzGk3mvUyD36A2s6MdFxaPX5qVK9El6ae3dn\nd9sXrLpitKlfnDVrdxITe4l1h2JyvE7uPHdvA9WUzLkLV1E1WryLuuGts68N8KpAZU8TyRlmdDrH\n+wNLwmFK+eYw6cm9+oPdN/qDJbMpnrLJhkuCec8jd4/5kc1/ohj+ZO3eFrzYsIJ9ExVYrzN/3Kcc\nSoauITA6dLPd379k5nB+TShCnzadGNTA/ifX1H6mLbWfUdgSdZyMTu0o4GPf2Mm4o7/TY+Lv1Chf\nh0GTxqPPplDfnTu9hr7Cu2NnUi6/li/6OjKC1szGiVtoumqMA7FQ5aV+FHtjAGMOlKDkax/i5+6i\nvxdFthRjPCGf/8KGizpadmhD+QD75pba9ON3rNt4kHUbX6FMrQZ89/UX9n2/4TxdOw6iboPqvPDa\newR62Pf9Or9SdH/jDSANfZrCq21y5yFCD5Ml/ji9u4+heq3ytBswzu42AHd6DevNkPEzKZtfy5d9\nHBtRH7F2FiUbzHAotsqLfSnxxluMOViSkq+NxF/6g/9w0SlEXZeaee+5U58AZbVY0Op09/XkH9Vi\nRtHe5QjJRoqi3FcbqKqKRVFxy+YIQIicqIqCgsbh7fhxoFitqBrtfbXB/fYHqlUBrRaHuyRVxSz9\nwT1JoRZCCCFcmPx8EUIIIVyYFGohhBDChUmhFkIIIVyYFGohhBDChUmhFkIIIVyYFGohhBDChUmh\nFkIIIVyYFGohhBDChUmhFkIIIVyYFGohhBDChUmhFkIIIVyYFGohhBDChWX7mEuz2czo0aOJiorC\nZDIxcOBAihYtyltvvUWZMmUA6NmzJ23atCE0NJSQkBD0ej0DBw7k6aeffgjpCyGEEI+3bJ+etWLF\nCsLDwxk1ahRJSUm0a9eOd955B4PBQN++fbM+d/36dfr168eKFSswGo306NGD5cuX4+7u/lBWQggh\nhHhcZXtE3bp1a1q1agVkPn9Yr9dz/Phxzp8/z8aNGwkKCmL06NGEhYVRp04d3NzccHNzIygoiPDw\ncKpXr/5QVkIIIYR4XGVbqL29vQEwGAwMGTKEYcOGYTQa6dq1K1WrVmXOnDnMmjWLKlWq4OfnlxXn\n4+ODwWB4sJkLIYQQeUCOg8mio6Pp3bs37du354UXXqBFixZUrVoVgBYtWnDy5El8fX1JTU3NiklN\nTRKpEDwAACAASURBVMXf3//BZS2EEELkEdkW6tjYWPr168cHH3xAx44dAXj99dcJCwsDYNeuXVSr\nVo0aNWpw4MABTCYTKSkpREREUKFChQefvRBCCPGYy3Yw2eTJk1mzZg1ly5bNeu39999n2rRp6PV6\nChcuzMSJE/Hx8WHZsmWEhISgKAoDBw6kRYsWD2UFhBBCiMdZtoVaCCGEEM4lE54IIYQQLkwKtRBC\nCOHCpFALIYQQLkwKtRBCCOHCpFALIYQQLkwKtRBCCOHCpFALIYQQLkwKtRBCCOHCpFALIYQQLkwK\ntRBCCOHCpFALIYQQLkwKtRBCCOHCpFALIYQQLuzRLNSKGaPJ/NC/1my23PG3qpgxGY3k/PgxBatV\neVBp3cpHHoQmBCD7gni8uGShtqbG0LH109Rq0IDGDRpQq3pN6lSrRv1ywUz/I4yvWrekSbs3ybA8\njOJnxZASx+/fjaT2MzNJz3yVw5sW0rRqbRrXq0Pb9sOJTzX9J9ZsTGPnbz/StH5Dxk3/w67vNRuu\n8dXwDtSq1pRJ3y9k1v9+vudnD29eTr/nq7NiyzmSr5zg+fpPcjjOfCP/2zqsm/+dcY3O1avxw6az\nduX0XyqqCunXTjHt3f7MXH/qPpdn57c70hebkxnc9jnGLQu7sQwVUIk4tI3Bb/Zl28lruZqj/ax8\nMmAc4Wm2fXbnkq9474ORjBwzgmHvv8fncxZxISbRhh+P/5WbxS0y4gD/Z++to6s6vv/v17n35saV\nCBYIEiEJGty9SIFS3CEE1wIFChQq0NJCDSnQ0uIUKG7Fobh7CBASiLvL9TPPHzdAEryln1+/z+p7\nrayVde45I3u2zOzZs+eT8e+wcl/YWyvzdXDjxHaCWwey9VgE2XFhL5aFl+D+ybU0HvEjpjeo998y\nMciMPMeknl1YdTvr/3VT3greHl2z2frTHAI6/oj2LZV4a/Nsug2cgtb0z4/9v9JQK21Lsm3XJmrK\nKaQmu7Dr3CXOnD7GmH61SNZAiQZ+lLR3fiNB+qvIzYxi85ofmfv1ZnR2apSAPuce0z74FL/Jq7h4\nehPG6ztYcymqyHdZ0dcZ3609c7fFsnr3UeZO7/xG9Z7Y/C03Pfpz5PQeOpSTCL+f8MJ3Kwb6kRYF\nSmsFVk7ujJs+nrI2SgD2bjpCHgAmTq77hgytCWFhT7+ZM2lQ2fXNiFEMkUc3ciQqHytnT9xLGPhf\n+jiyY8PYfeUvTDSUVnQaPZ721UsBsH+LmT4uZcpgjLiH9MoCBHd3fcOdlGcnZm8DYbuns/XAqdek\npZJ63UNwyzzHJcumTJkwmkqGO3Tv0oNbGcZXf14YspF1Kw7yWvOD14CzWxm4/QDl/1jDVAzwNcuC\njQIrRzfGTR9PGRslYODwH3teq4wSlesyvmfj1+AFM2SThgPHjv/lNr9N2LhWxtLh/3Ur3hYMHDx0\n8O0UJawoaV8CJNNbM3plarYlZHAXVNLrcspfh+ofr+EvQrJ0wN4WSHXASg3bZn5B+0mTUUVIlGne\njcnvuGCtlIgLv8GJk5fRqWyoWMkLK+sSWORFkpRtIrBuPR5dvEAuUKVhC9JvXyQpW0slv7Jc+fM8\nJeu9R8NycPbP48Sm66hStwlBfuVRFKK7vXNFhg7vx66Fv5JVoPuEIR9Nvonbv3zG6UqDMNo4U9bB\n5sk3wpDJ9xO7cuS2A7+cGENJJ6s37n96UhQnz0L6oJYEte/PA8UxZKOWuOgIklKNmLSp5Mq21G1Y\nFwdnZx7Lpt4o8C5fHqPRSOLZ3Xz99Qac/TzQ3t7NrJV/Mt+3C7UDPahZKxAhy+SkxHAvMpOSHiru\nhcdRvlpdKns4oM/P5PaVy2QarPCsUBYbexfKuD7VAJq0SGZ+/T01hlUgyLUWbmXcic7L4OLZE2Qa\n7GjaqBYWQsvdGzdIzjXiHVCDsm72hXooyM/O4NGjWOztlETGamjctCZRoTeIzcjDxt6DgABvrFUS\nWckx3AiLRWEhUdG3Ku7WGn78YiIxlQZQvaQLXmVdnpSaFRfBrchkyvj6Iic9IiEzHy+/QOx1SdxK\nhHpVy+Dr502ewUTi+e189eUaHHxLUbNKBco5yWQlhnMq/iaW5QKp7V2yqFALA1f3rWHo9M0s3zsI\n3P7eRKc4Mh6cYeQSL2rWjnttI6GysMVKbY2zoxtlPCvh3GsAK37eSESqlmrOdug1WYTduEGGXolb\naS98K5ZGMmm4d+sGKXkmnFw9qeJThpgj61i68ijejStQy9cbS4uCnst6YiMiyRBKLPJSictWULte\nbRytlGQkRnHzXhxKtZLKfoGUdLbFqM3l9pXLZKHAyhoQYDLkP+GDygE18CzCB4AwEBPxgOQ0Qdky\nltx9KNO4iTfKYn1Ni31AaFQSNioHAmp5kxpjlgVZm0qOySwL9s+RBb0mhx2LxrIm3J0yXrXwqeTI\nnes30BgUuJWpTMUK7k/pLRuQscHLWolJNpIU9ZBUjQEbUy6PUo3UrFcPF5unLTPpctj85WB2Z1Sj\nnLsXmrxkFDaOeNpL3ItNxda5LL6etly9HUlAteqoDRlcD41CVpjw8qlGWTf7l4y1IC3mHncexKE1\nWVGvST2U+WlE3g3H0t2NmAfRlAushXeZEgh9Hjeu3SDHBFpRnHLmsnKSHnLzzkOy8wRBTRvj7lBU\nL2WnJvAo4iHWLk5EP0ygYvXaVPCwJyM+kjv3o5Hs3KjhW5bQ66GYHEtR2UVBRHQCVs6eVPNz4trF\nm5QJaICH3VOp0WtyiI2ORG9UkZSQQmC9euhTHhKRkIpC7UzV6gHYqxXoclK5cTsCnUlHmYqBlHdV\ns33BUDbHVqR8+ar4+JV5wg95GUlFaRBQC++yJZD1uYTeCiMzNxvnMj4EVPZEQpD08A53o1NIz8sH\nYQuALieFa7fuIpS2+FWtirONxTMUy89I4FZ4FCqlA35VfbFVP6WrkE0Y7crj6ZoNCJKjw7kbk4Kt\nhROBdQKwfMu2+1+5oi6KFBZ/9AG/XNJgWaY+vRp4sPOzj5k+fzlGzUPG9OzPvgRXyhpuM6z/SK7F\nZBN3608+GDuWC4/yIelPJowdy5VkHbp7u5kwdhS9PvyGNcvm8eGnu1jw6QQ+W3KMmuUzCek9mohs\nzXPaUHR1onYKZGC3OmQk3iYk+ENKBHWnU7XST1t84xDrr4JdOXeWjn6fXt168Gd4xhv1ulGXobjG\n7KLve+/z5ZrjdGnTEpMuk3XTPmT8lA9JyE5n7Zcf0GvmviKti7t9imFDBxOapsMgZPQqkGU9FOyR\nG2TIiL7Jhz16su10JJmR5/hgYB8WbD3PrX1LmDZ7ATqT4Pef57HxHmjvHaZrn2D2XyvqMRAmE8gC\nJIEQZq7c9sk3PIiJZuaQ3uw+G8Efi0K4EpNDVsQZBvXoTkROYR+ITMy983w0qBtDl//OmnVruLpp\nMos3H6OEkw1LP57CjE9+Q591n3HjPkNl70jKld/pPWAod+JywCiDJFPc62RhqWPpgNHciM5AkxzK\nyOBBxGlVmIypHDp6gZzEe3w+PITle26jl01m+pj0SJIEcgo/7z9CfOQlhvboQWiartioCEJv38G9\n43Dcn5XrAmj5ekxP+vR4/t8vu0JfOOa/bt7E5l0jcVK+4WoYeBAdy7WLx5g+ZDRZ3p1p6GmeOG74\ncixH42QcpFSCO3Vn67E7/LF0Alsvx+JkqWV8794sX38SvSxjVJvjLopYDmHk6tav6ddzJOfuJbBw\nzkS+Xn0ZkR3G2IlfYeXoRMKZtfQdMobI1Hz2Lp/On7E6XNQatt0BkDmwOIQr0WY+GPwMH5jfibp6\ngJD+vRnctxchA1aR/4w30cDirz7HtXRZzq5fza3MTNZPn8r4yVOIz05n7fwP6DlzbxFZiA89zbCQ\nwdxO1YHBhISMXpYI2/kNs7Y/pIR1Dmu++bkID8madI5tW0XIzHUYMXHvj2X06TmcY3dSWLPkUyZ/\nc4IiG25CBoMJJBkjgmNff8bC74+gsrNh/YJxnMuyxMLSyJYp08jIfMSE4R+SJdTkhh+nW9fuXHiY\n+cIxlXMi6DdgKGlqD5Iu/8bPx++S/vAKvfoP4vsVe0iNPEa/0UvQCQ0/Th7L79dTKeWsJPlhxDNl\nCW0SQ/r25EqWPfYpR1m48dAz76TcPUX3PgNZseE4kTf20GfcLyQ+OM2Qz7aislXw24j3WL77GA+O\n/sh3O86jUmj5aswotl2IAVnBr1sPoCi29EtPuMung94j5ItF7Nr4HQc2fM3U2T9g41SCk78tplf3\nL8nMiWfygKGEJRsg7S7D+/Vkz40kJL0JJIFeloqw5DM0GLMYnTGP7z4Yw9qTsbg6qln4QV++OhRJ\n8o0tTJr6Pfbu7sRGP8JgApEbw6ABg0jWq7m2+zt6fbKV522iHv9pBmGxGs7v3ElCZlGHuWzUc2rD\nV0z54lu0Rj3ffPU1pTzLcnTFcu69Ld96IfwfMNQ2+NeoiH3BrpuFpTWOKrMLGlMeWRm52JTxwsez\nJKisqexTFhenEkiAUqGmvK/ZgEoKFR5ujgAMmfoFv+0/yY4lHQi7fBl9jpbQKBMOUga3El7t/BPC\niLW1NWUDgnBzsOXGqY2sP/foye9GrXmk2g+byZezJpJ0/yY71+9/o16XDWjN4QNb6VTVlVWfDGXc\nrPUobT1oUKc0Xg0m0PndHkyfMJKHW9dQ2Avr6R2AnbUKSaHAM8gXO7UjQUG18S3njtrGlurVK+Dp\nG0BJVEiWCtwDmuJm587ocUMYOrgLuvxUZAGRd29RJqA67fp0xVZS0rxa5SLts3Ipj5OtmvIBVSlh\nbwnAoG+/om+vPgzzh9yoq8z/9S4RD+4QlqSnTBk3MvMLK2glvnVaUd2zDF+Nn8AvSz9m4YzdBL3T\ng4DAID6b0J7TZ7dwbM2XiJKu1K/pT9dRU/GMvs75u2l4udvhXrEKlTxdirTLxtWf4I+asfXAbcqU\nr4RSoeDK1XAij26kYfOWuJSrQnlbO7BSmulj6UjtoFrYqhUgefBR8Ci69eiBjUgnX19MfCUL9LnJ\nDOjdngrlXrSaVtNp+DSmTHve32Ta1C39nG9MXN/wBXG0xEKTgc5oIDs9DcMbBCBa39nKlAmTOZNQ\nmm2rF+JhpUDk3WHLKRPB7zamVpMu/DAugLU71/HTugi6tG9L9bqt+Wl6I3YePUz5IB+srUpQo1og\nlqpCakFpQ8O29XBr9C5DendmQKVSpGVnc3Xzl9hULEu9Gv70mDAT9/BLnLl4iNXbE+jVrjlV6zRn\neADIabf5cmUYEREv4gNAskSlMKIz2PP51lPcCv8C+2dWJDJy2j2WbNxHvb7BBLp50KBuaco/loWJ\no4jaXlQWylYOxN7aApWlLX6eTti7l6JmYGkkCwsSTizn0iMrhk0PQVmoLoWtB/UaVcXCSkJSWFK/\ndV2cqzVkWK8O9KnqS3JGVhGlrrRypEpZR5xKlaN61UoMnT2AxNgzmKzdKVeyJKtX/kHSjaOkt5yJ\n9vIGki0saNawJu0HjKZqdjjHD1984ZgqbDwY03cAFjnRPIiMJE+vpVSFSiiUCtr1HUSH9/vjqM0h\nM/EhOy88oH+/d6lcpR5Va/k/U5akdiSkz1AqWGdx8144Wl3eM++U8/NFobaic9++dHq3G6rcLC6e\nPkF0Th43rt4iy68hRqU9rfqMIGHvfjLtS+PvqibixmkMuZFUKVcTN6uiJqVkxZq08FQwoPsovl25\nmYcnr+HSegQ1AwIYPqwPD26t5Pd1q7icnMk7bRvSpFNf6tnpOLL9NH6ejjh6lKG6f+kihqpUxcpP\naNCx2wCctDmkJ0bwx8WL9BnYmSo1mtC5RUO2Tv+KFUt2Y91+LLWq+NO+eWMsgQdn93P7XiYRodfJ\nNgpKxWc/d6tJbavm8NmbtB7Rj3LFvKJKtTV1qnqaJxCSjJx8g8W/HaLF8FFUtn7hkP5l/B8w1Na0\n7v0Bo7tUfHbWY+1H206NuPrjKMYt2oGbpytVSjm+skSTUY+LuyceNjLaPD22To407NCPXcf20bGy\n8yu/1yeeY+Gaa8xesYEtyyYDefxxNgJkEzodmIzmlZhJNmJpbYVSBUK8yQ5uHkc27MOqVACzlq1n\n29f9ObFlG/EmoFCYkKunOwplUYETQnp1IJEQhYopUJoyqBxKPHmlWZ06rBn3Hst/WoRLhfco7fpq\n973RZO6jhTUY8rLRODjSZ+Awpnz4Eb+sXoW/w7MrKZQqLCUFkkFLDqDNMffHtVJFTCZBZnwaOl3B\nyKucqFdRYJRfbsBqtOxN9I6fWXIwlOXzB3FoywK++MmCekFlCiLQXkwhGeCFe06pnD+WQ9OKLi/4\nHUCBQZtNckryc/6SyMh+znTblMvyn/dy+LdPad+6Lcdv3GZM7z5ciMp5aT8Lo2y7iSz5dDg5medY\nu/MoAJImm9w8DXrZ3N8y1QIx5OeTq396aqJM9aoYXhGUaZKNBR4ZBSXKKJD0kBWf+nRcLFwI8hLk\nx98hUvGYfAosrMGYl02+vcMr+ABunTtBs48XUNvdGqvneiss+eDrVch7vyMkpB/HHxWdULt6eqBQ\nFptki+cFHEoEdp7CwvFdWTh9GLMW/IChuFumEH+ZZKPZcwQ4uquQdLx0W6JE9fdp6hTPhk2LUPl1\nIfPPBUz76hozZrUkPyUDg0E2F6+0p6kPGMVLIm2EnnOrNpNodKVBgxrmR0I2c68so1RZYWUB+WmJ\n5GerEY/VueI5al0YubXpd64+MPFO28bPr042mUVDFlhYWqKWIDc3k2adujMkeCS/rF7F2Hcb4exV\nnTKlEvjk81/w+2g+4sYxls0Zgl/LZs8rFQALCzXIJjQmA5rUdARg7+4GQE5KFrIsMBoFKKypU9EC\n00v0pZCf0kBRQANZp8NkMJKvMftUvEo6IEy53M1NR21hboNCqQQJspMysbRsT/DwYCbPXcXKX/pj\nMjwrA/W6TyL93Bp+v5yHWv3sdoLpifvGkukLfyFv6xcMHdqP09HP88r+Pfx7DbUhi4xsgERyNTLt\npk3HRQUIMCDQ6PXo5SwiI+JwazWQsRNm8ePS73G1V2MS5m7FxYRz5dgVALIzsjAVUNZkNIuahaUz\n7l5eJMad50rYIy4d3MqF6GeVoylfhw4gPxedCYRSjaUMCanZlPQNxAMlFbxK8PPsEKoF+BBu7Yuf\nNSTEZz0RLIeyZd+g82pCjy/l8NUIFCo1papUwc3DFYcCXtFlRGMwCc4eOk61QRNwU4Oex/pFFCgS\nBSjsUevyiY1/SGqOHqPBQGzYFaKzzYFfcoGOEIAsgSE794liyzcZ8O02Ep86Q/lpYXcsi7VQkkCp\ntiAlPo47MSkY8jUF3nUZvR4UzuWoRgKLvl5DWPhdfp0/ih0XUoqVIpA1BjSyDDZudK5fjovnLiEj\nSLwfiruzH/W7dyczLIKobCOmvGSupdlQqWxpLGxtyMzI5EH43cd69AlKlPejdtkc7kdoqPPeSOwi\nQgn8airOKjNlDIAwAZIdap2GuPiHxCUlk5kGMgJRoKjlYh7o7LDjRLpas33TMfJeaOv1RFy9wK3r\nN57zd4fknOcEoSkd+H7/Ec5fOMOf587QsrovP27fScPySvYu+YnwpJcbbJNsQm/QU6VtCMsmtWPj\nx3P5+WAYJhdfqtvnsPnCQwQmHl29Qp2ajWhc3oI/zochkHl05QJVynmDwh5Vbi5RURGkZhU1eAoo\nUP4ymekyAkG1Lj1IvBFGTJ6MKTeR0BwH/Ot2oI72AUu2niIx4SEnoiBVa0l1RVIhPhj9LB/oYjh2\nSsuodwJe0stctq36gx/P3qVPm0AOX4gBQJtuloVzh49RdcB43NRgEGaPdOEeWDrYk5+XT9Stc/w+\nbyHGJsM4uPd74iIT0BebqAhAGMyTNgU8mbjlZBkRzwlhtXS0Jzcnl4d3rpBrsKBt7/dY8d0p3hvW\nn4nVbdD4VcbfWol38zYYohO4n5iNrEnndDRUrlSJqCt7WLru4DPRyOl3z7BXk0dlTwfuXrhLZlwC\nGbl6s3wrJExyPjqtjGPpCtiXyGDL+m1kZiQQ/yiW6LBIdIUmILlx99gYF0uV6p5cO3yVnNRUkjKL\nGpQnExCFhNGgwaA34Vm+ModnfsT2Q5e4c/kwcxZtQWHpyIye9bh99ixtghrTtIEH6x61pp5fCZ6F\nwKQHvVYHKisa1KhE1JmjZGuNZCXGgvCneafW2GfncvN+HLI+l8sxeioH1sDK0YG83Dwe3b5Itk4u\n0s7HNJBNZhrYupfGy8mFP49eRAiIjE/Dp2VX2vuW5OavP3MnLpm7EREY0x5hXa48eXkbWLn5EOG3\nLjKt/0fEawqfjjGy4LMVaF0rERxYnvgbsS+Z2ktADru2nGXlxft0aViZ41fiXvj2X4b4F8KUGy86\ntGgo/L19zH+1eokoo/m3hLBjolkN8/OPdx8SHcp7CW+vCsLbq4KoXN5L9P/+D5H56KoICvQXVbx9\nxKhBDUWLd7qIadM/Em1aN31S5p6byUIIIVLvnxBtvX1EFW8fMWjEcqE3yUXaEn9nv2hazefJdx1D\nZgohG8WOb0OEfxV/UcU/QPSavkxo9CaxbO5oEVglQFyOyhHpD0+Jd+oEinrN64iBn24S+W9Ig7Wf\nvi/aBdQQVSp7C39vH7HrQqQQQhbHfggW3hUrC39vH/H+4PHCYJLF+tljhb+3j6jfbrT4fFIP4e/t\nIzr3/0joDCYxvX9TUTuonoiIvim6ePsI/15zxf6N80Q1Xx9Rp1lPsXhqe+Hv7SN6Tv5W9G7VWPh7\nB4n1V5PEknljRRVvH1GlsreoUrmymL/jdNEGyibx05QQ4V+jkdi4YXEBfRqKHxfNFf7ePqJuz+ki\n7u4R0aq6j/D3rilWHLxT7Hu92DK7r/m7Bv3E3XSDEEIjxvdpL2q07yfqNx4oHmSaB/3UqrkiwNtb\ntGnbRHy5J1TIQojQwytFLW8f8eGaU6LoiJnxaN9nYvnZBCGEEN8tXSdyC56HHf1J1PX3ETXrtxdX\nUzVixoBmolaNWmLppyHC39tHNOw5XSz+cooI9PYRI2ctK1Jm9MGvhL93c3EqMusNR/PN8GHfYSJS\nK4QwxooB3kFi743Y578o54tfx77zhDfnbzonhFErvgzpKfy9a4lVf4aLpPvnRK0Af9GyVWtRr+Nn\nIl0ri+zkcNGxaT3RsG0nUbXxByIhzySM2lwR0rm+aNG2s0jK0T+pwpARLt719hH+3k3F92t+Fa1q\nB4qazXuI2CytOLJ0pgj09RUtWjQU3x64K2QhROSF7aJeoJ/wb9xWdPbxE3N/3iFi7h19wgfLi/OB\nEEITcVB06DFYZGpNL6FKnpjc0Uc07RUs2nQdLdKELI4vDnkiC10HjRN6Y2FZGCXmTu4p/L19RKd+\n04U25axo4e0jGkxcL47+PF5Uq1FbdKgRJGb9dloUrlWfdlv0rW+m5wefLxN96wQJf+/64vutO0TX\nJtVFtdotxMXItCIt0yeeEE28fUTHOduFXgiRE3NNjFp/SQghhPbhZrF639M+39z1o6jt5y06dm4p\npm2+JkxCiBPLQoRPhbbiQXElkRslhnv7CH/vrmLlkgWitrePmDx5kgjw9hFDJs4T8waYdeTY5edE\n/KXNou5jHdXqXTH/150iQ2MoROQUMb1mDeHv3VZs2bFBNPP2EZuupBapbv3nE4S/t58Y8/F3Ylbv\n+mYdu+ZPsbh/PVHF20fUqNpNRKZpzC8bo8WC0T8KgxDi/oEV4qc7ueJ5uLhtoZk/gzqKM/FaIYRO\nLJ8xSFRp20+0adxOXEs2tzH+0g7RPMBb9OjTQYxdus88JhlnRTNvH9Fi2mahK1Tm3iWzntJg4FMa\naBKui75BPmLo6B7i/dFzhEEIIfSpYnbPesLf20fUa9tddB49Q1yLTBSXt3wq/L19RM36rcT5mPQi\nbZaNOvFhSBfRoPX7onHtduJqnOaZfmUnPxCdm9cV/t5VxewNp8TYd3xEs17BonXPD0T6M2//fUhC\n/EsOAP4FyBmXad3lC8ZPG4oaiLh4gB/D/bi1cQwKgxaDrERtqUDIChSKFzusZJMerV7G2trqtaNt\nAfRaDUahwMbavN4UJgMaA9gU+O6Meh06o8DG2urF3tQXwGQ0oFCp0OVrkCysCqJwBUe/HsavWd1Y\nNacVSgt1kf2155djBKUKpQSy0YCkVJkDp14COfMmA+ds5aeFMxF6PemPrrPzvmBc16bFXjShN/Jc\nt9BjGPQ6ZBRYql8YfVUEwmQgT6PF0soGC9XjcgXa/DxMkhpba3XBI4HeYEKtftHBBYHAHIQiC3jR\n8MsmE0JSvuYxIhm93oharX6tvrwNyEYjklL5yjF7aRkGLfk6E7Z2tk/4Wxh15GkN2NjaoigouzCv\nvB4Emvw85MLjgnlrSUgqFICigLBvygcvqs+g06OwUKNUwLGFw/k5vStrPmn9WrJgNBhRWZj5Rcgm\nDCaB2uLtHHwpXHZh3gOz+73w8Ok0eRiEEjsb83ZSdswVZi06y5dfj8O2WB+EkAEJSTLvPihfosdM\nRgMoLJAUAsVzNZnZ7a5QKJBl8VKdWKwVaDU6LKytikTiC1kgKSQQAlmSXt89K2Ty8vPMrnvLp/yg\n12nQGcDO1voJvYrS9dUwGfXk5euxsbNFVdA/IWQMRhkLVWE5Eui0OhQqi0J6plA5sgxGHbLKEovn\nbSU826lCvPn2j2v9a49nvQ4UlnaUV6Rx5Mp9artLnD0Rw8Jvppo7ZWH1xF0rvYLOCqUam78QAKC2\nsqawypaUFhQ6uYFKbYnqL+p0pcrMwFY2T499mfQ5XArLRa+5Qqq2OaVfo2yl6ukQK1SvpyQVNk5Y\nXDlCy44PaehtzYNkHd8vXfqcF5W8ymZZqIs7zV8OSWmBnV3xdkpY2dgVeyS9xEibv3ksLi+TG4Xy\nxZOM57z9PzXSAArV3xdRhYUVxUkqqSyxsys6Nso3rkvCuvi4AMrnMP2b8sGL6rOwNJfzWBYM3kaS\nxQAAIABJREFUuVdI0bagzGsMS2GFLymUqN/ixl9RY1I0Srn4HMvS2rbIVpKFnQdffDryGSNt/vZp\nI181mVQ+ke8XMbziyfb16xtpc3lW1s/GqEiPy3gTI23+EFtb+2ceqy2tKc4mb2Kkwcx7Dg5FmUGS\nFKgtirdQwtLqxXE3SoUC1NbPHBF8MZ7y5j+Bl66oTSYTs2bN4tGjR0iSxKeffoparWb69OkoFAq8\nvb2ZM2cOkiSxZcsWNm/ejEqlYtSoUTRv3vwfa3RhGHT5ZGXnYBIK7BwcsbX63yrS/yVMhlxiYpIw\nCbB1LU1Jx38gvLAA+TnpJCWlo7C2x8PDHSvVP3+o/z/8h9eFyZBHTExigSyUoqSjzas/+g//4f8o\nXmqojxw5wvHjx5k3bx4XL15k1apVAAQHB1OnTh3mzJlDkyZNqF69OsHBwWzfvh2dTkefPn3Ytm3b\n/3z18R/+w3/4D//hP/z/DS/1K7Ru3ZoWLVoAEBcXh6OjI2fPnqVOnToANG3alDNnzqBQKKhVqxYW\nFhZYWFhQvnx57t27R9WqVf/5HvyH//Af/h5kGb0QqN9oG+A//BPQ600vjfl4mxAmEygUfyv+4Z+G\n0WRC9R9fvnprQalUMn36dObNm0enTp2KJEm3tbUlJyeH3Nxc7O3tizzPzc39Z1r8xhDoDa/K9GTk\n5sntdOvSl0dZr04rk3FrM8OGj2P+/PkMHdyfkVM/Y/4n0xg27Uv+3LyMZh2n8m/p/V+F0Wh8brae\nvw2TDmPx81RPIDO6U0MORRfPCPYGkA3ojAauHdlCp05DiM//32UgN+SmsfGbqQydMBuEYMHkYLrO\nP/4X6Sjz4PJRBrzXi+sxb5bV7k2QG32SaeOnMKpTLX7ed+kfq+cxsh5dZlLvjiy9VrRPGQlhTBn4\nLjOWnvnbdQijDpMsiL72B91qVeNo1LPJPV4FvU7/ly42KY78+KuMeKcJG8OyX/qeKSeeFZ+NJajd\nfN7+KdyiECYDG76ay6SpE2jacjDx/+OLCE26bDZ/M4VhY2YUbxnLRrdgxYm7ZCVEsGBcL4bN/bHQ\n7wauHdvCe10GkaL/p256MLBpUi8mfPgx8+d+wsDeA5j7xVdMG92XhUtWs2JGMB8uWPUP1f1ivFYM\nwPz58zlw4ACzZs1Cr396DjQ3NxcHBwfs7OzIy3sqDHl5eTg4/Dsyw2uz4ln+27ZXvKWiWpOOVJKy\nXyt4wJj9kDaDpjFt4gi06XFUbjOYaXPmU8vHkcbv96WkIuefMXL/Qyyb+wsvVy1/BSY29Q3gxgsv\ntFCwYPMR2pT7q0EZgrM/TOD3+1pqtuqCjzId+a2o29eDhV0Jenapa74ERZKY8NlifpvW/C8mK1BQ\nuXYTKknJKP6xLhjZ8cl43Or14+e9lxjYqsY/VdETOHrVJrBG+WeeO5fyoZFT3lsYLSO/DWvC/UwD\nnr5BGF2eDXZ7FWRtGv3fX/FWLiixKVUDD+9Sr3xPaV+aRk3qItkq//HkFrr8JLacTmXeN4vZu20p\npf9OIP5fgNLSgW7vNeTZ5KkSId/tI6SpD46lKtG5rl0xWlhQs0UXvKScNwjyelOYSDyUypTPPmNY\nn07E3k5l4LSpzF/6FTZZ0KdHQ9582vf38VLX986dO0lKSmLEiBFYWVmhUCgIDAzk4sWL1K1bl5Mn\nT9KgQQOqVavGd999h16vR6fTERERgbe3999smpE/1i0nXm9BdJoFo8Z04eK237gXa4lBE4lvk/54\n5R9nx7kYLJ3cGTF6LPZyCj8tXYPayZFkpR/ju3oyfVQwD0R5bFRe9Gphz3fLNqA3SDTsGkyHuhVJ\nuH2UX7eewGSh5FYmL087VACXGkPoqHJDiExkIcBoQpIkenXtDZiQ8hPYtepTQu/kEdh+KH1b+pIS\nfo5lq3ZhwIKOgybS0PdpcgChz2bv6lVEWTph9egBDzSCvhNnUa2kkW3LF3E5MhOfum14v44Di1fs\nolyL7pS4dZTzaUZaDxpN2bxz/Lb/GqMmT6NEQQo/oyaL4wd3E5aSj+HRQ8q06kET1zx+3XUFSzkF\nr6b96d7CH2HIZN2yZaQKNXl6N0aM6kHo93NYvfk0KaoMho39AE+nwobTyO7VS0k2WhGTac2EiQOx\nz3nET0s2oicHVemajBrag9Cjuzhw4Q4l7W0Ii06kWf9xcGUlH1+U6bBkPZVmD+Dshl8Iy7MgMzGW\ngWOn4pJ/j993HsHvvRFYh+7n1L043ISRsORM3hn+ES0qW3F83ULCNa6kaWDk8GCcrZ+ycPSFLUxb\nd4KK0UupM20I6DM5/vt8wkJzcQrqyaRetdGmPWDlsjUk55po0n0U7Wt7Pu2arOfqqcMcORZKGScD\noUm51O0ygJzr+7gTmUPXYeOo6+PEjX2r2HoqAoW1I8PHfUBpRwV7V63kRoYGY8JNwAuRl8SBHduJ\nTK7BuEkNiL5yhI2n47DXR1G98zgCLWNYs3YPFX09uXrtNlLZlswY265YYhn5ScTw6X0bOHbxHs27\nDcVHFcWPGw6ApQu9h48k7+5h/jh+g+qNe9CxaXnWLFuCZ7vhtPUrnEHNwLX9azl6N4WMDEHngSGo\n44/zR6iGvPxfkfWDmDy0bqGqdZzcsoo/w3R069eQXWuvMmbuCByKte/OwZ84HgkZj5LoMmY8JXLD\nWLf5D0pW9ibsxk0CWnRlQMdGmLJjWfzDGiwd9Zw4HUbTd56VKwlB7I09zJm+C5NbNWZM7kfG9QOs\n338bcrKo3G4g3Zr5cPD3X3moVZMdnkvInJG4FNLavy+awednc+i4eDMzJ7dBFoJDO9dxJOYB3g3f\nIfj9NmhTI1mw+Bd0egho2YdebQKfGgSRx5oJEwiNSWXFLyVoUzKbzWeS6DxiFGF71xKVZqTPqFFk\nXv2DXRHuzB5cjY3fLCURCZOlI8HDh1PKqWiQp0nIXDqxkzurb+PsFcCYYQPQxN9i0Y87cXK2RpRr\nxpje9cBkXiVmRN/mxxW/4VKpJuMHdWbvqp+JMngwbHg79v28mMuRGfjUac2QHm24f3oz287mIAzJ\nNOs3lkZeRTMzxt08yS+7rmBVIPPv1bZj/hffkxB3ky/m/kDwsBAKf2HMj+PX5WvRSpXxUMegc2lE\n/z71ihjM5Htn+XX/HZyIx6vZENrVKsmZjV9xM8uDtNx8ho4YRakikdeCSzt/Y9/DLCwyE+g4dAo+\nJgMZydF88ekssvJkekyYhY8ygT17DmJT6126BpXDqH/6fdz1g6zZfQ6DBHeyAHI5vGUr525JOFg/\nxKZiVxq6hrL5SCjCwpqQcZPRhh1k65FUalaXOXXhIUEdQujewucVKl5Nn73rcbWWyJTM42EySEhW\nnvQZ0Qndo80kRj3k8zkzyNUqGDxlFlXcjGxe+gPXo7Kp0rA9A99r/tIa/gpeOnlr164dYWFh9O/f\nn5CQEGbOnMnHH3/M4sWL6d27NyaTiXbt2uHq6srAgQPp27cvgwYNYtKkSX8zkEzm0q/jOPDAmeCh\nIzDcWs/O25ncP3OIDUf24WCXy/XT6xmw3YqJH40ifesSluw4wO3z2zkq1WRYn1bsWDSGcLk8A5p5\nEdiqM8FdK9F/4HDq95tI39oyE6YtQKNJZ/qsH+k84RNmDu9AVhYvyy75BEpbD2wtnyWdi4uL2dDr\n7xPh1pG2lXSsW/YluZpcvvxqEaOmTqWmTSaTh3YnUfPUdSOpbangmMSS+aup1HsYGZFXWbD4MH98\n2oXzioZMmzGIrbOHc0Jfgfh758gwOdNxeDtO/3mZAE87XFQaTunq4VIoz65sEhhiL7Piu42UD6pM\n9t0LDBn+Od1DQuj/fhO+GtmZ385Esmt2N+KdajN5ZAjZFzcyedJPNJ04ADvnikyeNb2YkZY5v2wo\nZ5PLEjx4MFmXfmVfaDwfBY8gNbALH3w8m7hD39D729OUcDTxyy/rySoVREN/ayZM3kj1ug2QkAgZ\n3x+LzFhWrd7N+8MGUy3tOKs2XMbK1pFzBzYRo5Ep6ajl52XrkGp1wNddz/BxG8lPC+XDRXtp02sI\nNTwySM8t6rMrXfUdKnrY0WX0GHxL2gOJnBJNeL9xWTZ8MYKHaTn8NGMINToNoWOd0kzp0ZTQjKdl\nCCQU2fdZvXEjivq9aOShYOrAPihqdqGZTz4f/XqY2Ct7Cd6iY8L0MWj3/Mz3G38n8so21kZaMePD\nybSvZD7yYTRouHH8T/ZHxwImdi76mHqd2tHSx43hQ3/DqoQLj/b/ws+n0+jbszWHVoznQuxzXP4K\n0Oekcmz/NTqOnkV9j3Q6DJxKz1GTCVDdoMv4tQQG+PHH7xtJRYVCgus3rWnkVzTN6YNjawn+/CAD\nRk2jd0MXQtqFYF2zM138rWnUMZipQ+sWXaUoLGnarT2he75nwICJnDkXiq6Yt1HOeciAycvwa9GL\nzg0k1hy5hJ2jLbt2befiPS3jB9bmy7nryTPl89nwUWhrd2PU+Nn4OrzA12oNcfkaxk2fQNyhhWy9\nmcSCRSvR1ejJ+AEBrFv3EyahYcv+C/Tr0Q0PbTTJxYpq2qAulta2jJzQC4cCcciJUzBmQGOWfbWG\nTJOOqVMm4d9jAgObOjN71iek5Rby8Ei2NAt+D4sy9RgxtC9VO3YnYsd5bDxK0LSKFQeP/4mdjR1q\ng4HqjaqwbdEXbLNpxbSPp1MmaTeDPlmD8Tk65P6hBwwZ2I4dy9fyICWH/bt+43bFHozq24D1P3xI\nbNbTjjiXC6C55RVCoxJQKJTo79ygQvv2nJzXlXNSA6bNGMS2OSPY/TCD75avp2bPfgxuZMnJsKJr\nVFPqdYYMn0vPYcPo17UxX43ozLZbgo9mTKJMmWpMmzWRih5FPQ4qm1KU0j5k6dKZbNu/nTt3imcT\nlNn37QQq1mvAO3UDmTFhAzmZDwj5ZD3New2iRYVM4jKK8rE24TA/HE/gkwlD0CdF8PPCU8hAQmgs\nLQZ/gKs2hg9nbUdhbcvDs5sJTUgr8r0uO4FJM1by3vjZzBrRjpxswGQi6uY5ftvzK1pLE3fD/2TU\n+jjGTx+L8s9NfP3TL7iXcuHY1oWc01alealU1q1Zgv6Vd0cr8PAq9dwVu7OreXH14ORdOgwaiebe\neb5bdpg9M1pzx64ZUz7szYbpQzgQ+/Zv5XipobaysuL7779n/fr1bNq0iZYtW+Ll5cW6devYtGkT\n8+bNexKI0KNHD7Zu3cr27dtp06bN32qU0KaxYPU1mnVrhwRMXrCBfjUrEFTJjSq1BjNq2mICnLS4\nllFx5UIoVUfNoUm1AKo26s3k6plMnDwLnd5Q5Nxhenw4WUkqMiOvEUFlZg7oSG7sWZI8GlPVWYnS\nLYBGni9s0hs0HnBqxrR3a9PgHTMddI+OcC5Owe3L5zFWasSYMaOxLnKIXkmFwMqUatCKFr5l6eLj\niqxJYdmRHEymVM6ejaTbpI8p7+DEgLa1Obh6CZmZGWgTb/DF4Si2bY9g4ZRmRWaKajsnWrQKonaX\nTnR/P4S6JWLAzYHSrnaUDmxGtwo23DqygxXbk6kbVAPJ0pFpk3rwIPYKGqMRNc+6W+T8RD5feZ0m\n77ZEoVIz87uNtHbJ5E78Qzo3rwJY06lzd0KX/YTkXhJLJ1ea16tBtSo1cbAsOgeydvFkzsIZ7Jw7\njhUX0lDYq7B1r0gJJxtAwqN8GWzLetGqpjd1/aqgVILSrhR1HFIYM3gQWW7tKVfiFfnH1X7M7dmY\navUaAKBPvMzGqxIxkaEkUpLJM2fhVOgCCklhQY227fCtXJUONbyo3awGVpbVaVfbB786jbAFbl69\nhI2rBVcv3MJ35Bxa1anF5e3raN+qDgokAluZ8x1bOJXHy/1x3nglfeasIOn3+Xyybj+4q1Hbu1PR\nzZLuHZvjXckPW3s7eN4N63nxTAp+D6vWgwnyUHPn5EEkUxke3LiEulJzZrSvitrNh+9GtmD79h1k\nZ96lYvNK2BYr5vTZW3j3noK7tYRvg454ecZz7LI51eGLlEBexEVC08uz/uAJdh/+Abdi2kthV47N\na3/k8pYFLFq1F5UKbB2cUFpYUK/Du5T0b42/E+RnpXAzTvBec19ASdmAKs+vUAMNG/TE1akM5f18\nQGnF9JmfUSluOx/N+6ngDLAFLsZIevYdibrx+1R+jRtku48dQNnqbQh0UyJrUom7m4Yu9gb3Ne7M\nHN4H62JnbBVKUEKBsnalda9yTJ97nLykPFJik7hx/yHXr1yieSVHLl84xLi+DZFQ02HkHPL/2E3U\nc3Z2+n85lUoBDWheXoEKiXd7jmKY6wWmzPwKSSqenlui+aTviT60jztpyZx3CaK1Ww7Lj2Y/0Qfv\nT/oYT2tr6lZwZMagnqx74MOoloXTFAtuHfkNyd2B0iXsKFO1Gd0qWnPr7JUnbzzPnSpMRs4/SKGC\ndx9W7/qTLz59txh/KOg8aw3i4gZmrNhEvqMaCxs33imnZ/zggTyweZeqZQsbfyNHv5lFnQaNQWHF\ntC++4eNPzNtBAS0b0aB8CZpWKw9YYOVYkgqlnJ5pU/qjs2RVaoW/kxKlezXqlgaUjtT0K4+zbwiT\nJ39BD998hK2Kaxdv4DV4Oh2bNcHGoxL21uUY2L0xTdu347VWYa+BJgO7E1SxLB2quiByU1l0SIte\nl8T5izH0mvIxpS3ffnqSf2Wub2EyoRcy4WHmfL6O9hY8jDPvmEpKCyTM+Y193SrRsm1HhgQPwMNC\nIuzUduavjufz77/GUq0GSULIJiRJgTCCMJaiRqNmdOoWTNdWftyPjiI1KQWdAFA8zSYkBMZXzrwK\n4TlRkwJAMucHEkYjDtZO1G/Rgd59etO5VR10+UVDRoQwPblBwMpOAUaBAajuW5sOHToxqH9X8qPj\nqNM7GE30GaaP3czsr2bxxzcfcV8tqOrw7BxQFvKTZC+WKhs0OiNanQkkCyq4SSgkBWqjkeRE8wzW\n3r0ECklCEiAXS9pgHhcjeiGICI8DJJwcVEQnaFEqVMQmm3f0nOysMauAp/RTWSiRBE/6J0kS2qxY\nZn30JQF9P2dCSzckg1SIcJiTNRf8b2GpACMIYcWE1Ueo62XFt9PGcDmq6MxbmAmJolCSCIHgyX6G\nSUalsqJ2/ZZ069adAT3bos3IKtpJydxWASge39knQAjxhO8qu3rRvE1HgocOopy9gvh7iSRlFNrR\nLJT9yNwkHZu+m0uS/yDmDesCGsXT38CcyeJFkbdqJ5o38ePEqgUk5hmRNTIqdSWatG5N117BtK+u\nJiUf6o/5GLtzh/l8/pfUCKr7bDHAozPXMQBKtRqV2qIInZ6FzPnft1K9Z1eqOFk8N0GGMTeBz7sP\nwbNJMB+O7W2Ws8eXnggBkgqVCkzaXLQ56SQX8l4oXpntSUIy6dk4ZxYXM6rx9bzJBYsCwaQ539LS\nTcPCjwaw9VbRoDRRkAZMKsgILfE4u1dB4iMhIetdCKjbmHffH0jPTvWJL5Z/3XxnzdPcXm3btyZi\n81yWRHmy9pterPj6I64bmuFiZ4laacndKDMPqS3tsVarnutafdKGAjE989sKvt5twRcLPnnc26fv\nAgo7P1oE2TNp8mxq1amPhRAYBFT3DXqqD6LiaD3hW+b0rc3BH6fx6U/HCkmdhKXKhnytEY3eCJIa\nLzepSAKV58Goz+NRZCohi6dho1I+e7+H0LN36efcdW7N1+MGYitLINSMWn+O1gFOLJs5gqO3Yot8\nkpWpIyY+EgHYOLugj49DRvEkMPlxkx5nESwObWY8qQnJBXpaQkiPJVogqdRP5NLLpRzNWndkSPAg\nfNydMDyRP5AKZVKR5TeMXJEK/ys9GUuF0jyuegTVq9SlY8fODOrXBU1M3FuPjPlXGmqFjSvBzW35\nbd4Efvp9F5NHf0i6hRqjTmBITMQE1KhaldNLxvLpF7+wacUctpy7Sez98xhKSpzetAO9Ts/163dw\n8apIbEwMoTcvIDtHMHHkBI4c2824SUuoUL0DnvE7GbNwJ7fPbufYvQQOnL/H2fXL6NFtFlmvCBY3\n6nXoNflEx8Q/tS8inawMEybApNNgNMqovZpTLvUI73WYws5tqxgyYjwaqeisSwkFqYdk4qP0SLZO\n9A2y5YcPxvD7oRPMnDSKB0onVI5+jOvsi2jWmTbvtKRC4jW8g9q/oIEGsgtua/Ju+R4uj2I4eTMG\nY04iq+4YqNuhByP7+fPbvsOYkLm2fye+ns2wdihFibw0Lt8+w7XQmKdttCvFyJaWrJ4znpVbdzJh\n+FT0JctRu1Q5dizfiF6Gy/fCaTFtAiVUFGTPl8jLzsagN2Dp6AQIrh3dwdYLN0h4lEd2zEVWnksn\nJvwmKU/orSq4CEICSSIrPQ8hDOgzbjN+7D4+/HoZw5s4kq8tqmAVSiVqO3tuXTrN7mu3SIqTMWK+\nO1YIgeRWjdbOkQzvNZEde7bS/f2epElFl2SmlBiSCtRmXm4ukP90bI1GqgTW4tqvU5k5Zznbf/2c\nNYeu0GRwNzZ9OYkDl++wadk6Yu9HEpFhQg+gAcmYyMl9YSj1Sew8dBSRE8bdqCTz1XoKMGo0yAbj\n4y3KokOotaLr6MW08RP06DgF+6CGZKTuYNLsb9mzdjkDF540X9GpLEunTn6cOuVHTV+3Z8pp0KQu\nuaFrufowjZyUaLJTfWlf25k7YTJG/XOWgPp0Vu65S7MWL+AtID8pgnMS5GWG8/OcDUTdvM6DhGyz\nXlMqECKNrHQTViXK4OplxaKZU4h8eIsLx89xcts+snSF1ZmeR+EycoFXQRgNZKdncT0rCWGdybJp\nK8hIiOdyeAzrNx5hyrK1dKgXQHJ60QmvjUsJjAYDVw9t5uj9NEwGPUYTgA5DrhajtTOlq+iYMHAI\nu/7YxZRhs1EVmyRZ2bhgHRPFkWMnSM7XUTaoFe0c4wj09iGgTme0EdF0GtURJUrq1G3B+mmfkaIV\nxIefx71Ld4rHQupzczAYAAzo8gzkyzL3Y+5g6alg15KN6DUaroQ+xAQIzVO70PXd1iSFhlK7th9K\nW1f6Btnxw6SxbD54nFmTRxMu1Cz8eC31hszm2wkNMMQkFzEQlVu9j8ujaE7disWYk8DqUCP1mtfH\nqEshM1HH80I69SlXSHZvSZdKL0ggY0rhwObrKPRp7P9jJ7kZEVy9fJyBPdcy+rNFTGrviia3cBie\ninajxrH/1wWMnreS2cODWR2aQ25S7JNLyvR6IyIvq9Bd4oUXHUrcqrTB4+EWJi/ay+3Tv3PqXhx7\nzoVj1MvIMTHogQr+9Ync9jmTP/yB3Wvn8+PW/SgxT3okBeQmxD+pb9mno5mzJ/L5/SsETXYK+fkP\niU156srPjo8q4CcZjVYGpR2DaluxYPxYth05wdTxI3iodHyjVNSvA+Unn3zyyVsu8+9DUuDbvBvO\ncia3bt6hSdcxNK+oZe/Ze9jYabEt709QUG0qWyRyLyaOHCozcWRvSpfwIPH2ZRRuNWnh6YzesQTN\nmzUk/OQZ8n078+nQljwICyc8PJa+Uz8ksFxZqnl7cP/qGW7nOtEooDI1atXARsojOV9N85ZBL04z\naMpmy5KFyM4VsMyIQlW+Kl4uCg7//C16R2siUwX3rt/F1soS28r16dysKtEJ4cTEGxk/7xt83Z4G\nnMiaVJYv3oeLjSWynRUPU1KwtjTRZ9IsHPIfcO1GGDXaBjOguQ8g4eTuQ+2afri5ehDgkEhg2544\nFdsz16bH8vXKI7iodKSovAisUoVWrQLZu2ElF8Me0HLEXLrVr0ClJu+ivfsnmw5f4JG+CnM+G4yd\n2h5J8YgzZ+/TumMH7CwLBEdS4t+6N7a6NG7fuk/rfhNpU92Txu1bkHxlL2dDr5FrF8jnw1rz554j\nWNo6orS2Iv7uNZzsc7EsVxc/WUO47MrQnh1QmpKIistjUO+2xCdnU9J0l4hMG3LC7xIZkYqrsyPY\n2RIbfgsP+wwcylYjL/k8YbeuonFtzvtt62FRKMGzQqnEOl/DnXuRuOdGoHN2IizeRGZsJPaOLli6\neNG3f3dSE8J4EJlOyCeLaFDhaSiNMOazc80eLO2syJKsibp3FxcPW2RU3Dn+JxamFBxrdqZdBSP3\nY2JJyS/DpPGDqehbB1tdFhfOnMHDvxqVfOriXcbA1ZsRuNlm4Vy5ETX9bbhy/jp13nkfG+1DFNo8\noqUSaA0qjLkxyCpHJKOamoEVHzMY1/ZvIVRvyaN0FTVqVQBjKmmK0nwc3II712+TqLfis7ljcbc2\nh+1mPbqMvlMwnXyfvarV2SuAZr7WrN91lLCrtxkx72NUUWe5obNEl5ZEyRr1cC+U/9aky+N+Shbv\ndX8PJ6vnC4Gl3f/X3pnHVVVtD/x7Lhe4XEABFedwQjFnnF+aU6W91NLnlJqV5vic0xdpDliomVaO\nP00tU7OccMw0LUccABUHEEEUEFSQy3gv93Kn8/vjIoJg+pSUJ/v7hx88+9y111rnnL3O3uectdxx\nT7pL1E0D74x7n8yrF5GdnFE5OKGyWkm7cBSji4IEvPnP+12IvRjOqdDLePu+Srs2zajlVQnH3OdT\nKXEXOXk7Cwk9Fd0NhEemYrpzh46Nm3In9gbtPvyAsim3cG3cHtP1Q+wLvo6qZltG/6s1+V9adnQt\ngxx3i0ipGs3K3iXDqMagSSPn2jFS7By5rq/K5MFdiI2O4cb1m7wxbiqtalco+NjIyQVt1mXSc+xp\n38oXpVJNw0Zlqda0E1UrlEXr0ph3XqmFHVCveUvckk9y6EwQ52KtzPh4GGXyLX2mhP9OyA0D+tjr\nWFOjibWoic8uw1vNfbgVEUz1ll1porJCeWfCj56nehUD2fZV8alRgfLVqpCWXp+3utbDTrKjUee3\nsEu7StiFSJq89gHvdaqH5s55Du45RHhqdUZPHkI55/t92zlVpHOXBuzdeP+af7uxEz8tW4NLVRVX\nLmfQtHn9AteQPjkW19oNaFL7IdX+FGWoUUdF2NnL1OvQG09FIi4VG+BouURE2FmSVf8f5o0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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.imshow(plt.imread('./res/fig18_6.png'))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "(c)\n", "```\n", "B-TREE-INSERT-NONFULL(T,K)\n", " if T is LEAF\n", " FIND_AND_INSERT(T,K)\n", " else\n", " C = FIND_CHILD(T,K)\n", " if C is FULL\n", " N = B-TREE-SPLIT-CHILD(C)\n", " R = FIND_CHILD(N,K)\n", " else\n", " R = T\n", " \n", " B-TREE-INSERT-NONFULL(R, K)\n", "```" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": true }, "outputs": [], "source": [ "#todo: exercises" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 18.3 Deleting a key from a B-tree\n", "1. When going down, if the node's child has only $t-1$ keys, move its key down to the child. \n", " + if the node is root, then delete the root, use its child as new root. (Height -1).\n", " \n", "2. If the node to delete is a leaf node, then directly remove it.\n", "\n", "3. If the node to delete is a internal node, then \n", " + If the key's left child has more than $t-1$ keys, move up the lastest key. \n", " + If the key's right child has more than $t-1$ keys, move up the first key. \n", " + otherwise, the sum of left and right child's keys is less than $2t-1$, merge them as a new node.\n", " \n", "Base on the three priciples, we summary all possible cases as follows:" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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kZmW9NYj9egkh8I2OsOuNbeRkZ5NfUMCmzZspryjHbrdjsVgwGGRvvjS/9fb0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hxowZ1NbWsnnzZsLhML29vRw+fJiqqqphLunI0tbWxhe/+EW+853vcNtttwGqy/P17LPP8uij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\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9TSpT0e/nN4qiKMzNzvL2W2/x1k/e5JFHH+XJp59iemqKixcvshyJUFNTw67+fjo6O3E4\nHJhXPW8e1FqWiuni0beP8N/+6q+Ym53F6XJRW1tLY1MTDQ0NPP7E47S0tWG1Wjd7uVueUqlEdCXK\n+XNnee07r3HqxAlEUcTpcvGF3/gNPvnpTxFaTetU+XBunhGYy+WIRCKMjY5y/fp1IksROru62LN3\nDxazmZMnTnLh/Hk+/vLLvPjxl+77wu1KGUOpVEIslSitdhEuzM0TDocJh8NEV1ZQFIVAMEBbewft\n7e3U1det1b9WhpT/86uvotXqOPzIYXb09d3Xx207Uq2Zuk0KhQITExMcffttzp09y44dfaiKwpUr\nV1haXCSyFKEklrBabbhcTmrr6unq6cFkMmMwlDvv7HY7Vpvtvr+QvBdJkrh65Qpv/PCHnDpxgmw2\ni3fYy8rKCsFQkL6dO/F5fThdTrw+X9lAtGqchyiKLC0t8c+vvsrs7CyFfH5tgHRLawsHHn6Y2vr6\n+7II+G5gMBio8dfw8KFDuFZNa3/wve+RzmS4cWOYyfHxqpi6DQRBQK/Xo3c6sa/O6fQHAnT19JCI\nx1lZWWHg2jWWFpeYnppiYWGBr331qywsLPDSyx+nrr7+vm2Y0Gq1aLXatZKEyoguj9tDY3MTmXSG\nfL5cJ5vP5ognEpw9fZp0JoMiy9gddurq6vH6vHg9Xs6ePcuVy5c5dPgwzzz7LP6A/75tttlu3J9n\n8F1AURTCM2EuXrjA6XdOcfXKVaLRKH5/gOnpmbWZT41NTWi1GuwOB16vF6/Xi9Pluu9Tdz+PylDh\nkydO8JMf/ZizZ86wuLiA3W5nZXmZUChEe3sHXd3deLye+/bCeifIsszK8jJH3z7C9cFBPB4P7R3t\n9PT00tXdTXtHO41NTRgMhgdedN4OOp2OmpoabDYbgWCQYCjEyRPHWVlZYXx8nAMHD1bPwztAEATM\nZjNms5lAILAWpb929Wq5JjRRbiIJz8ysWhCkefajH6G7p+eBaCIRhPJ8RIfTgcPpAH5aT5tJp4lG\no0RXoiSTCQqFAopSjkonEgkW5ueZnZ1lanKS2XCYqclJDj1ymP7+ftweT1VUbTJb9mqhKAq5bJbs\naifbZq6jkC8wMz3NpYsXOXXiBMPDw5RKJcwWC0ODgxgMBnb199PU2ozP58PwnghBKpUilUrd8RoE\nBAxGAxaL5Za9XSqdcIV8nk3L46ogy+UuoBvDN3jjB99n4NoAmUwGu82OxWwBBCyrqalMJo2qKqv+\nDxuHQDkaYbXZbjlVqCgK6XSaYrHIpmXC1XIkdHx8jGtXrtDW1kZrexu7dvXT1d1Njb8GQRBIJBJ3\ndRmVyIPdbr9lgaEoCulUilKphLKVKwlUcDgcPPb4Y2i1Gq5euUo8nmBifByny7XZq7ttNIIGq82K\n0Wi8pc1VVVVKxRK5XJaSKG7sYtTKRIYCGq0Ws9mM0WhCp9NhtlhYWVnhR2+8QTaXY2Vlhfb2duwO\nx8au4TYo283cwfErlchmMoir3m/rwWa3Y7PbQQVJlsimM8zNzXFjaIjBgQEWFxbIpNPEYzFmpleL\n3aem6entIRgMrl1LNwMB0Gi1WCwWTA+gWfCWrZkqFAqMjowyNTm5aeMwVMqpqVg0yvGjRxkfHyeT\nyaAqSnmDUFVsNhu7du+mb+dOQrUhjIa7kGoRBMwmI82trdTW1t7Sr4ilEufPn2dxYRHHJl2gKm3E\niwsLHD16lHQqhUarLXexrH4YjEZMZjNej4f6hgZqamo2/E2oqAqyJLGrfze1dbd2/IrFIqdOniQR\nT6DXb445Ybk2L8vCwgKz4TA9vTvweD3odfeydkxd8zc7/Ogjt2RqWTFVPXb0KIVCAY1me9wxy7LM\nysoK2WwGq8W67eYZqqgIQEdXJ/X19bdUPyfLMvNz80yMj5NIJDc0uqGiIokSS0tLhGemSSZTa0aY\npWKJYrHc2SwIAo2NTfTv7qehoXHDnv92VwvlG4f2jg4aGuo/VJhUIkqRSIShwetks9kNP9cVRaFY\nLDA5PsH58+eYmZmhWCiUi9Q1GjQaDS6ni76dO+nbtZNAYLPOWRVWbS8aGxtobml54LIxyxJa+QAA\nIABJREFUWzIyVekQGRq6zuVLl9nV37+pa5EVhb0PPcSOXbtWLwTF8kWhUFwbJjw8PEwylSRUW0vZ\nUnPjkGWZhblZFEW5ZTFVLBb5wevfY35+nmefe25D13O7WG02XnzppVv62WgstqHPraoq+XyOb//z\nP/Nvfvu3b0lMVRoMvvbVr5LNFmjv6NjQNd0JFpuD6Zkw0zPhe/q8iqKQzWa4fPECjU1NtySmKlG9\nv/rLv6QmECRUW3cPVrqxrETjTIdnN3sZt4yKiiLLpFMpREnE6XR+qJiqFI6Pj49x4tgJYvFEOSpy\nF9DqjXh8NT/3ZxYWIywsRu7K838YqqoiSxL5fLmI3ul03FKURxRFZqanefvIEXK5PDbbxh0/FZBW\nu8BXliMIGi1tHZ3odLpyjdpqw5JeV/58YnKa6ZnNOWcrwlJVFLq7O+5L+4sPY0uKKSjfITgcDjo6\nOzh4+NBmL2fN4qDyQeXz1e9VcuF3I29dLBY5fiR7e78kCGh1Wuoa6rfE8dssFEUhk07zox++cVu/\nJwA6rY5AMEhHd/fdWdw2QJZlErEYg9eu3l72VQC9QU9tfT3tnV13bX1VylTmzc3Pz2G4zei4VqPF\n7fVic7nwfojguV9RFYVSscjKyvJtdw1rNBq8Xh/+gB6317ux61JVVEVBVhSgfF26eQJG5fOb/90M\n1NVxPNlsBkGj2bzSkk1kS4spjUaDXq9/4MwZP4g7Sn0JArqbOkkeRBRFWTO8u10EAbQ67QNryQDl\n806n199ZrFUQ1u6iq9xdKtUaujvpfhXKf2e9oHlg/1aqoqAoyqpf2+3/vkarQad/cM91VVVRVPWB\nLoJ/sCrEqlSpcgc8iPeZVapUqXLrVMVUlSpVqlR5sFkNR60vSVa1JnmQqYqpKlWqfAjVTaLKfU5l\n/Nf6HmQjVlJlm7Jla6buCpXicY3mLm4P6qrL7U9bbSvFgeWn3qYb02qx/bsRNqjeUa1cy27+EmgE\n3v+NjXrOe8BNx+x9dSzvPZ7CBvWA3tQYUX5YzfY5Xj8HVVXWToWbZ5dt3ON/8EZ4N41Q15pZ3vM8\n28189f3H7t3v0Zu/LyCsQ5t/wHXipvfNe9exfY7j+1/XzbP5bvrqxryXP/Ba/sHPX+XWeXDElKoi\nFgtk4lF0vlosOg3aDT9fVBSpRCG9wuJyBkXQYrA4sFqNGDQq2aIev8+CZpudqKqqIhfzFIslSooG\nrRZQFHQmGwaDDt264psqqiqSzxaQJAU0mrLZn6RictkQikUkSUKmbHakCmbsVt2WP4aqIiFJJYrF\nspGd0ahHq9Wsfk9GLOQQFS0IKmi16HR6jLp1Fm+qKnIpTz6TJZ0TQafD5vZg3oC/0WaiKhK5ZIJM\ntoQs6DHZrDidFjaq1FVVFIq5HHLlxme1WxedDoPehFaz0U1SKqoiIeZzJJM5ZL0em82KRlHLheBm\n04a9truKqiKvzp2TNRo0rHY26wzo9HoMgoIiS+QLpVXRo0Wn12Ew3MG2oyooskihKK86GpVvirUG\nI0atgKJIFAslFAUEjYCg0WIwGW/9OG5amk9BlkTEkoiCBhQFNAb0ei1aQUYslRDRoEEBoTzHVb+O\nN7OqSohFEVlR1zoF1dVmr7XXoNGi0+kwrO+i8cDxgIgpFakYZXzgAq988wjP/d4f0uuzYN2wK5aK\nUooTHr7IybePcHokjqt1D81ulZWpKRYiccx17fR99HN82m3GoNvaQuB9qAr5+CzXTx/j2JFzTOb1\nGE1dvPhrL7NvZwMe4zredKqKlFzg2okfceLsdSaWClhcfroOvchzj7WRuvYGR09cZmhOpKahiyc+\n/VkOtjowbuFjqKoKxXSc+bGrnDw7jGIw0nXoKTrbW/HoQS7lySwMc/r4FWIlBV/3bnr6dtHkudMT\nUkUqRJkeusjI6DTxkhFnjRdtapyVrJWGvsN0d7YScGyj2X2qglTIEJ8f48KRiyyXzNj9dgQpTzop\nYq7t5PCTe6mxrE8oqqqCVMoSmbjMpatjRNN5BJMFvd6AJp1ANJhp2HWI3o4mAi7zuqOHqiJTTC0y\nfv06VwZnKFq9NHgVFhcSSJKHjp199D/Ujm0b7GOKIpFNLjI9PMDFaxOIgg6dq4nuXX30tNWi0xTJ\nRme4ePw4sxmw1PXR29tDV8PtOsurKFKRfGyGM2+cYi5bQLL5CbV0srOvgzqXHqWUYnb4GkNjs0RL\nVoKtO3j0YCc2zS1KnE1J86nIUo74/Dgjl85wfU5GbwzQuXc3Ha1BTGKc8I0Bzl4ZRzA56dh3kM62\nBry2OzERVlGkHNnoOD968yLxVA6j2YLJYkKriCilJKksoDXjbeuja8dOugObY5a9XXkgxJQqyyTm\nxrhx5idcGZmmK1qgzWXGuhGhKVVBzMxz5chRThy5yGxBS+ehZ+lqbabGopDw2zh//B0mZ8KoJuOm\n+YCsB0EQMFicOBwmTMo8YxMSj37q49T4HJjXewwFAa3Rhs/roFBIMx4p0dnWSX9nCIuaYmh0gJGl\nNEpwJ3se3kuT14Rui6dKBQS0BhNWhxuvdoXBeRl1chGnJ4gnaEGj1WGwerAqUWK2NqwuP07znb0V\nVUVEykYYPHWO0allVKePpu4W/G4LZGzorl9hbugsWq2KcUcPLsOdHLt7e7xVVaaYWmZucpjzV8eJ\nCx46exoJBeyopRRLY9NMD1zilNHO4wdb8dqNd1z8KSCg0eqxulxoszFSEQF3axPtvQGE6BwTA+cZ\nv6LDZjNjtTVhX9cVsywKYtOjzAxPkSl66H+4G5+xiEEcZHQRMiXYwvcJ70LQaNAbLVjMZjTLc0TV\nero7avD7yjc7Alp0BgsOi0Im48Znd+Nx3JlNi6DRojPZqfHrGRlcpGSsodHmwm7SARoEjR6zQaWY\nk1F1JmrrvRi3/HEU0Gj0GK0O7C4PuTNXKIWC9BoMmI1akGQkOc/ico4dj+6lpsaN2XBnN1yqoiAV\nciRmxkjr3QTbmwl57Oi1GuRcnOXRWUaXcmi8nYQsTjzWB9PiYT3c/2JKVZByEcaGrnHi9ABZyUp4\nMUmxwQ7G9Z4wKrKUYuTYEY589wjjGQs9z32MT3zicWptOrSCitjZiEOj5fLADPUB65ZPT30gggad\nxYbZ5sCiN2My+zn87H5a6lyY133lFxAMNpx2MzaLEV99kD2PPkqvJ8+po6cYzzloPbCP7t0HeGxH\nI+ZtcMeOIKAzGLE63TgQQJKJTM2zXFdPa6AJg1aH3mpHr7dQ395FU3M9rjsQU6oiUszEmDpzhquX\nRlF8XfTs2E9fTz1WrYoiNWKT4syfGWViahZPbSuuwBb3HFMVpFyM2alhLl4eZjJuYfczD7GnI4jL\nrEMR83gNGgoz41wdGGTHjhB2qxHTnaup8jwxmwWt3oDBVUNtWy97dtchJ2rQrgxyeibMSjxJVlSx\nr/N8V+QSqeVlUrEC5kAdvbu6sMoiXouMaFOwOm3ckd7dBARBg95gwGyzoGr16D1ttHe2UB9wYgBU\nRYvWYMZqNFDT3ElTcz01zjs5/wQErR6DzUNjdyuDc0lSFjs2pwuHSQcoZdPIZAGrM4C/sYuuRi+b\nMwTq9hA0BiwOP6Hmbpo9g0zpBPQmLQhF0sk40ZRIw+6H6d/XT8BhxrCu658WQeekp7+T5pCfGpse\nKZdgeabAVFGLzlZHc89OutsaqLFVxdTtsh22pnWhKiVik9cYHRlnKmfFLEmE56IUi+sd6qmiyiLp\nhSGOvf4W1xaKhB59nBc/+SQNdt1qPZaA1uihubufRx97mCanni0eVPkZqChimsjSMsOTMnrffupd\npg0QUmUUqURkYoz00hJ2g4KTRU4fOcKRUyOoDY/wzLPP8ezObSKkAFBRlBL5XIrJeSN2mw0hscjK\n4iLRnISqiIiFGOGkE4fFjtt6ZzUkUjFDfH6Es8cuENW5aN7XR2dnHVYda0aMVo8frcFILFlgOX6n\nQ8PvXc2UIhdJzI0zMnCdsYUSDZ37ONRdi9OsL0eRBD0mmwVfnQE1O0s0U6AorWN9KqhyiWJinqW8\nhOr34Ag40csKUkmihAlVMCEglOt01knlMVS1SK6YYG4liyxosHrraW6uJeSzbp+LsqogF9NkUsvM\ninpMjbVYLWbK27CKqsqIxSyLsyn8Phsu1/rGiwgaLTqbG7NGh5QpkEnnUVBRZYlsbJaxiTgGp4/m\n9nq2+C3DTQgIGgNmi53GZhva7BzRWISF8AzTY9MsZAzsfewgAbtpXUJKEDRojXbcTXvobw3hsxlQ\nSlnii9Ncv3KFqzMKnoY+dvc2U19jrfbv3gH3eWRKpZSLMnTqCqWsludefoHxr3+bcCRJUZTX+dDl\nouzwyR9xJRFH2vUsXQ8/Qrvj3We8RqvF09yBp6md7VFV+gGoMlI2ylIsyg3FhuNAHx6zHv0GdfLJ\nYpq5sTDLswlipilOv/5PTEwY+Jf/9n/l4e4AbvM2O3CqilLKk8unWQwe5CO7Cwxcu0FkJcLMQhp/\nvYZScomEuQWzxY7lDl6eokjk4hHCQxeY0eip6d5PQ20I93tyG6pS7oITVLVcWL2lUZAKcaYH///2\n7j04rupO8Pj3vvr9klpPS5Zky/L7AcI2YGwCGR4m42wm1IYEQrEb/gFn8yqqUqUB8oAUCXnMplIF\nVZDZrU2t2bCwE4raTHYmBQzECQaM8Us2tmXLtmy9ny31+97ue/YPGY/JZMBWy23L/D7/qbvV93Sf\nvuf+7jm/c84R+o8NEJ+/nPbrlhKyjLMBhtIU4OKqAq7Kk8rlcYouMz25FC5Fx2Zy8BR5J08k5MVv\nKRJjAwwcP8TbXVmM4HJqYnGiJUfzGprhIVQZJBDJcXzkff7wZhWxm1dSFapmQcvcuoQpt4idmSI1\nOoCyLBY2VRIOeP51dp3rkM9P0TsVY3UgQMRbynmsgaajmz6CmgbJFJlEEseNo+WSDB/bz2hwPksb\nWpgfnUGvyiVcZ0rTdSx/gPiCFrRTXQyc6CZ9yEbHQ9PGv2Jp5Sz0EmkahmURPLO3pirmSY710X3o\nIO91jhCrWckNG9cwvyaM9EnNzBUdTKmiw8Sxt3jPbcC79Ga2tKZx/1DgUNcgmYxNgZl/AUoVcewp\nut7eT3bSZcXCBlYt+nf2tZrJVjCXEeW6ZEb7mRzpxRP1c317EwGPMQt3L2o6UMsMcrQ3zemRNBNW\nH3ooyt/87SNctyRKtKQG+NJQysXJJsmMD+BrXUdVi6Kxq5dDJ4foj50iU1NHavAUgQXX4gvPZFaa\ni1tIMT7cz/5dQ+hWBSta64nHzkkYVeC6RdKTYxSdPJ6AgXeG+RblyplSxQLZidOcmkoxaDbQEl9O\nU6VxTm+uQrkO6WSSoZ4pdBqpjgZnnEcy/ZYuBTvH8Ml+MpOTDL79R4Y738TnyZJyAtRftZH1a9fQ\nVBNhNtL3DY+fmsXX0JZ0GH/9LU53/gv/z+fhjmvbqJuFBPdymv59TTE2MIplVlJfFcHnPdOiKhfX\nyZJPjpEILyDgD+Ar+VTW0a0Q0ZhJIF3ALdgUilnsRA/v7h+m6cb1NDfHZ9azdwnXmdI0DdPrI1I7\nn7DzPqcP7MfTvJrV16zn2pZISSX6i1QROz3CsT37OLDzCIHaeVz7uVtpqg4wB5vby8bcvsp/FFXA\nyfbyxm93MpWYIlahMTE6xGjWptB3lIl0lpw74zdHKZtCboTu/gKZXBVRf4zYXOtBOU9u0WG0r5fR\n3nFCvnpWNVViGbPw01HT095Tg9305zNYzc00L1yIOzjBG7/dxWQ2jzuXri5nKLdIbipJqn+EtgWV\nBENVNLVWUxWfYjJxlJMjScb7xmmsDxMKziyzQxUcnHyOpPKix5ZSHQ0QOCfZRlGk6KTpPXKSzGQK\nf9BLMHI57+KuUEWX9MgIdi5DuCZGw8J6/OcuS6Rc3HySqalxuic1FCE8hlHC0Pl0cObkJ+nts1Hh\nFaxcu4rmlmqSKk71ylu59YaraKkJ4zNna206HStQwfzlq7lm0zqq0hOM7H+D3V2nGZqyZ+UI5eHi\nFrKkEimGBzXM2AIqAxYfTOxVrkshmyU1NkBkYT2+gG8WLjYauuElUhHAZ2Swk8NMTIwwcPAtiguu\nY15tDdHLP+v8L9BANzG8YYK6F7+vkSWtbaxZXHsRJtsonNwkPfve5tiJY9g1zbRddysr6gOz+Bv/\nZLoygynlUshn6dv9T+wbKZCzs+SHuug8epwp3cHNnyKRzZArJdfCdXGdHJO2RsFbg98fmbUcosuL\nS9GZYvDkGAP9JoHqNlorzVk6yRVuocDIsS4yGZfmVWu5ZfMmrmvV6N/7O97uGmE8XZiF45STQhXz\npNI2Q+MBWqr9+L0+qpoaiVQGSQydZs97hznUH6Mm6icwk2UllKJoZ8jlUmQ9HgKNjYT9nnOGXRWq\nkCc30UPXUIakW0M8VkNNZKYd+OUZHlQoirYNrksw5CcWD3+ogVKuS2ZsmLH+02S9fqqWL6Ei6Jt5\nwrZSuE6OzOQQ/TYEGpppWbyEBXXVVLlFCokcZiiIZZYSsH3AxS1mSSYz5B2NQEUdzctXs+76ZXjS\nE/QcPs3IWJISkw/KRymKdoqpXJIR3Ue0uYmwxzy7dp9yi+RSKcZOjtFQH8Pvm53BI10z8AeDWKZL\nOjHIqRP97DsRYumyVqpiwZnPhLyU28koBcUChUyShKFj1jdSU19LZWCWB9yUomjnGOrazcGjpxhU\ncWoWX82aJU2EPPoczee9fFyBwZTCLebIjvfwymuHiC5vZ9117SxrbqCxuYUVaxaj6+OMp7Jk7Rl3\nTYFmoFt+KsJgGVkc18H5s7dTyiWbGGNibIzJ/OWer3IuNb3YXjpNvjjdJdw7lmDIiFG1qI0qL7Ny\n4ilVpOgk6dlzikw6SkPzCtZfv4711y2jYuQQb/3zLnoGEsytr86laKdIZfOM6fOoCRhYpoG/Yh41\n8SoCzhSnj/cw4Gki6vfgnckX+cGQhKZQho4R8mOes6q/ch3y6XF69u9hJO0Qm7+IxoYGKkpZD6xs\nXNAUpql/eHFH5VLITNDbe5pjPZN4gg2suLqVWNAz48V3lXJxchmSQ6fIaIrK+kri1bXUVVcxr0Ij\nNdxN70SefLHUH6ACt4iTGaGnf4KJKXs69ydex8I1q2gI6diTSXJZew4FUy6unSFvZyj4vdQ31+Ax\nPxj6dyk6GZJTU5waDTOv0o+vtGloZ2m6ji8URjcVE8N9nDjRj9ZwNQvrogRLGaO6lNvJKEXRzpMa\n7SONIlxXSTQWnt0cHKUoOlmSQ110dh7mdMJDdP5yli9fRH3UAxRxchP0nh5hdDwjG+PMwFxoXS/I\nB2vU9OzezjsTTazftInNt93Ehhs2sWnTDdyw7mp03WZgLEUqO9MZfRqabmEF4ixfGidkDHCq7yQn\nhpJM96NM904k+o/RubeTg0f7mXLmys9TUbTTJIa6efOPf+L42BQTwz0MZyYo1sVoWzkfL7ORRaNQ\nro2d7ufg0Umyvmbi1U3U1zfRsnoj1zaE6HnrD+w9fIrhVKkzL8tHuS65yTFSyUmc6iZChoau6Rje\nGPPqamiq9uEWc/gWzifgsWYWCGg6hieAPxAloorY40nsQhGXM7//9ASDJw+xb+8xApW1LL9qEU2N\nlSUklpbnllXTNKyAD900ydsFMpkPhr0Urp1ipOcYR48OMJSrZMGiNayYHy0pX2r6u0oy2tOHhp/a\neIhwOEikuorqpjiF/BDHukfJ5AolX1yUWyA/NcTx4wMMjaUpqOlp8ZYvSoVPx/JZaIY+txpkNT07\n0dCZHvbXph90nRypsUEGB8aYqFhKPOjBM0vbTWi6gS8cwfIYpNMZJm2d1dcvIeKz5u78HlXEzqUY\n6ekB16W2Mkg0PJsL7CrcQo70xACH9+7i0OkcnngrK5Ytpq0xAq6DnZ5k8Oj7dHX3M5LISTA1A3Pq\n3P1YysXJJujv2sfr/+cfqb3hJhpqqwlo042ZY2dJZjIUikVOHOtlYChBvjCz3ilNM7F8cVbdsona\n+V4OH+zk9e3vcmKgn6HBPvp6jrL7j/+Xf3rzMIcH1SzMBCoT5VJID9PT+Rq/+Luf87u3DnGg8xDZ\ndJqWxlra/70k+ws+TAEnPcFA1z72FGzseZUEYiFM5SVa3cj1dyxDN7v508697DnYSzKTp+QOgotN\nKZxsirG+04wO9+GrDlAsqumLjmESqa+nuqWZiN/DotZafNYMk/g1Dd0TJhquZmHQxO0+zuDQCKMT\nCRLjIwwc7+LQe+8x7K1lyYbbWN7aRPyy//1p6IZJuH4B4cpqcuk0p0/3kphMkkomGO3rpvO9wwwN\nQuuyq7nx9jVErBKCD1XEyaVIjAxz6lgS140T9Jh4LR1fJE6sugG/k+f4gaOMjCdn3E5MH2t6mYB8\ncoLEqaMM9PcynJgkOTXBxOgwI1NerHglvpB/7gQEmo7pC+MPVGA4BbreP8bwyBiJxATjw32cONzN\nyZPjNF+3dHr4b7YOq+mY3hABX4hwRQPVC9tZEvdizdExKuUWyOdSjA0PcuLIAIU8eEwXXSvOWnun\n3CL51DiDxzp5Y8dxbCdM66JG6uJesuPjjA8N0nv0CHte242tawT+bHhdnJ8rajafW8wzcGAHb7zw\nS17usanatYuBNfNpqPDhSQ3QvW8Hz/3PP5BNJel55e95LVwkFPoM61sudHsDpqeaegLUt9/JvWmd\nX//m9/zzU9/j9b/XCIU10hkvS2+/l8/f+WnWL57H3MlN1zD8EaIVDSyeSvLqT57k954CC2/8az7z\nV59jWWwWPohyKaRGOL3nDf7rd/4Hw46LGnuDdyuiVPuvZl72IL99/RjJySnGXn+O5wd7GPrs5/ib\nze1UX8bzdouFPANH3mbXnj28318kMrmDQ/PvYFl9GL9lYIWrqIrNY7Fngvl1YcwZn30ahukj3rSQ\ndVs2kvzN73jtf+9HhasIFF20Amjzr+Gv791AU0UAr1Vq01imKFY38VcsYt1Vecydu3j3lX/g2O4G\nmmN5evtGCdUvZ/Vn17JycQMhq5T+MkXBTjJ4dC/vbd/O+1kbzXOcAwe6iQSDLKyJUFlZzYqGAm+e\n/iNvvO1B27CKxY0VM7rIKKDoFEmNjJCePMrJf+nk2P5KwuEIwyeGoGINt7UvZmFdeO4kAGsGZrCG\nltal5KYm+N32f2Db7iDRmAenUMSIzmfJ2k18ui2KNZsLFWsaWB4sr5emhgjtV7fMnQD0z6kCTmqQ\nnvf38qc33uVUogjmJJ279uIqL6uWtVJb8p5n071SicFTHH1nBznXRWWPs+cPA3T+yaCQK+DmbfLK\nwB9q5VNVFcTDl3Ejexn7yOa8WCzy6KOPcvLkSTRN47HHHsNxHB544AFaWloAuOeee7jjjjt48cUX\neeGFFzBNk61bt3LTTTeVofgfphte6lfcyOceWs6mrMIKxKiqihEwdLRwPYvW/we+uXATWacImk4g\nFicWC5dwRA3TCtG6fgtbW9byH0cnyOSKmF4v/mCMaHU18YowvtmY+VYuZ4akGlZs4lv/vYH+CZui\n5SdeV0ddbdXsJClqOmawmvnXfIa//W/ryANoHgKRGNGoH8ut4cHvXcV9eQdXgeULEY7GiF3mob9u\neqhftoFbmq5mo6MwLItQNIT3zOZxhhmmfvEaIrWteEKUtvmwpmP4wlS2rOG2r8xnMpXBLjK9PYXH\nhz8SIRIJ4DHm1gwd3bCI1Mynub6P0e5+enPQtOJ6rtpUQTQUJhz0YxVTJEYG6TyuWHNVM5GQ7wI/\no4bhCVO/eD2fnreM6x11ZsukCKGgH8PQiTYsZt3nH2S5rTB8EcJB/8y3rNE0TG+QutW38PlFn8LO\n5Sg6NnYBitd5iMSrqKwM45v9ndcvKt0wCVU1sHLD7TQsW0c6k8fVDEyPH38oTCQSwdK02f39aTq+\nYB0rr72ZgqsT9c/Su1+KBHTNwArW0LxqE/GWdpyiOnOT7sUXCOKf8bL+Hy6TbgWoWrCajV9uor3A\nmQV9NUBDudObertoGIaXUCw8hxZHvrx85OXp9ddfR9d1nn/+eXbu3MnPf/5zbr75Zu6//36+8pWv\nnH3dyMgI27Zt46WXXiKfz3P33XezYcMGPJ4yL+iv6XiCMaqCMar+/DnDgz8SpzESn/Vj+sKVNAQi\n1DY6OAWFphtYHg+Grs3FrfjQNBNvsILG5aupzhVQuollmZizGBRqhoU3XEnTksq/8KyPecEZ9BZe\nYpqm4wlE8QSiZx6Z3t/+7PO6gScUwQqEQC99jF3TDExviMq6AJFCgaLromkGumHMal2VbZ0p5WJP\nDXJs334O7T/CYDZHLtdL57sOoVCMyniEgOVgp9OknQiNq9diWuaMSqdpBp5AGE8gTMVfeN70+AnH\n/ZRyq3XO0dAME1+kGm9EA7dIsVCgUFRouonHO1d3RtAwLC/BqIdAOIpTKOCq6eFa0zDOXLBn/5i6\n6SVaMX1tmbUl/C5JAvr0Iq6+oAdfMPrxL58hTdOxfEGiviAX7yjiI4OpW265hZtvvhmAvr4+IpEI\nBw8e5MSJE7z22ms0Nzfz8MMPs3//ftrb27EsC8uyaG5u5siRI6xataosH+JyoBkmlmFizWbe4CU1\nvc2BLzAXdri6XP3bi4mmaWjGLA9MaDqm5Zn7Y/aui51O4SiTcGMbS5pacXJpkskU6fEh7FySYMiH\nPxAmVtdIS2MlvlIW7CwzTTvTS2iY6IZ55aw0rZ3ZO88o1yfS0OdYL5648n1s+2sYBh0dHbz66qv8\n4he/YGhoiLvuuovly5fzzDPP8NRTT7Fs2TLC4X+9hwsGg6RSqYtacCFEuZQpZ+pMYn3Dsqto8gUJ\nmC75VILxiXESk0nyBQ1PMEa8to66mgrmxEoPYm64lOtMiSvCed3MPvnkk4yOjnLXXXfx/PPPU1tb\nC8Ctt97KD37wA9atW0c6nT77+nQ6TSRyEZbBF0JcsTTdIFhVT/Ccx3yBINGahksaml/2AAAGnUlE\nQVRWJvEJcSnXmRJXhI+8t3v55Zd59tlnAfD5fGiaxte//nX2798PwI4dO1i5ciWrV69m165d2LZN\nMpmku7ubtra2i196IUQZyB23EEJ8lI/smdq8eTMdHR3ce++9FAoFHnnkEebNm8djjz2GaZrU1NTw\n+OOPEwwGue+++7jnnntwXZeHHnqo5ORzpRRdR7p44de/5n9te66k95rrTNPk+g0bWLtu/QX9Xz6X\n57VXX2XHmzsuUsnmAkWx6JJOpaZnrlyAbDbLuzvfZedbb12kss0FCtd1wVUodQHfn1Kkpqb4x5df\nxuvzXbziiXMofF4fba0L8Vjn1/5qmobH4+XA/n3s3bMHw7xiMrku0PSMzkAgwNKv/pfzvn7pmo6u\nG+x65x2Od3d/or8/wzCoqqriP33lP+OxPnnfg6YuqIUsH8dxOHH8BCeOH//E3xgbusG8xgYaGxvP\ne/i0UChw6NAh+vv6LnLp5gbTNFm5ciW1dXXn9XrHcdi7Zw/j4+MXuWSXP03TsEyL9muuIRr7+PlA\nSils22bnO++QyWTKUEIBoKFhWRZtixdTU1tzXgGB67okEgmOd3czNjZWhlJevjRNw2N5WLJ0KfGq\n+Hl/f5OTkxw+dIipqakylPLypes6fr+fRW1txONxrE9YQHXZBlNCCCGEEHOBzIcRQgghhCiBBFNC\nCCGEECWQYEoIIYQQogQSTAkhhBBClECCKSGEEEKIEkgwJYQQQghRAgmmhBBCCCFKIMGUEEIIIUQJ\nJJgSQgghhCiBBFNCCCGEECWQYEoIIYQQogQSTAkhhBBClECCKSGEEEKIEkgwJYQQQghRAgmmhBBC\nCCFKIMGUEEIIIUQJJJgSQgghhCiBBFNCCCGEECWQYEoIIYQQogQSTAkhhBBClECCKSGEEEKIEkgw\nJYQQQghRArPcB3Rdl+9///t0dXVhWRZPPPEETU1N5S6GmAX79u3jZz/7Gdu2baOnp4eOjg50Xaet\nrY3vfe97aJrGiy++yAsvvIBpmmzdupWbbrrpUhdbfAzHcXj44Yfp7+/Htm22bt1Ka2ur1O8VoFgs\n8uijj3Ly5Ek0TeOxxx7D4/FI3V5BxsbGuPPOO/nVr36FrutSt+Wiyuz3v/+96ujoUEoptXfvXrV1\n69ZyF0HMgl/+8pdqy5Yt6otf/KJSSqkHHnhA7dy5Uyml1He/+131yiuvqOHhYbVlyxZl27ZKJpNq\ny5YtKp/PX8pii/Pwm9/8Rv3whz9USimVSCTUpz71KfXggw9K/V4BXnnlFfXwww8rpZR655131IMP\nPih1ewWxbVt99atfVbfffrvq7u6WdrmMyj7Mt3v3bjZt2gTAmjVrOHDgQLmLIGZBc3MzTz31FEop\nAN5//33WrVsHwI033siOHTvo7Oykvb0dy7IIhUI0Nzdz5MiRS1lscR42b97MN77xDWC6J9k0Tanf\nK8Qtt9zC448/DkBfXx/RaJSDBw9K3V4hfvKTn3D33XdTXV0NSLtcTmUPplKpFKFQ6OzfhmHgum65\niyFKdNttt2EYxtm/PwiqAILBIMlkklQqRTgc/tDjqVSqrOUUFy4QCJytq29+85t861vf+tA5KvU7\ntxmGQUdHB0888QSf/exn5dy9Qrz00ktUVlayceNGYLpNlrotn7LnTIVCIdLp9Nm/XddF1yUPfq47\ntw5TqRSRSOTf1HU6nSYSiVyK4okLNDAwwNe+9jW+/OUvs2XLFn7605+efU7qd+578sknGR0d5Qtf\n+AK2bZ99XOp27nrppZfQNI0dO3Zw+PBhOjo6mJiYOPu81O3FVfYopr29ne3btwOwd+9elixZUu4i\niItg2bJl7Ny5E4Dt27ezdu1aVq9eza5du7Btm2QySXd3N21tbZe4pOLjjI6Ocv/99/Ptb3+bO++8\nE5D6vVK8/PLLPPvsswD4fD50XWflypVSt1eA5557jm3btrFt2zaWLl3Kj3/8YzZu3Ch1WyZl75m6\n9dZbefPNN/nSl74EwI9+9KNyF0HMIk3TAOjo6OA73/kOjuPQ2trK5s2b0TSN++67j3vuuQfXdXno\noYfweDyXuMTi4zzzzDMkk0mefvppnn76aQAeeeQRnnjiCanfOW7z5s10dHRw7733UigUeOSRR1i4\ncKGcu1cgTdOkXS4jTZ07qCqEEEIIIS6IJCsJIYQQQpRAgikhhBBCiBJIMCWEEEIIUQIJpoQQQggh\nSiDBlBBCCCFECSSYEkIIIYQogQRTQgghhBAlkGBKCCGEEKIE/x8xGiMej3nq5gAAAABJRU5ErkJg\ngg==\n", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,20))\n", "plt.subplot(2,1,1)\n", "plt.imshow(plt.imread('./res/fig18_8.png'))\n", "plt.subplot(2,1,2)\n", "plt.imshow(plt.imread('./res/fig18_9.png'))" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": true }, "outputs": [], "source": [ "#todo: exercise" ] } ], "metadata": { "kernelspec": { "display_name": "Python 2", "language": "python", "name": "python2" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 2 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython2", "version": "2.7.10" } }, "nbformat": 4, "nbformat_minor": 0 }