EE4371_Assignment_4_ee19b025.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "EE4371_Assignment-4_ee19b025.ipynb",
      "provenance": [],
      "collapsed_sections": [
        "SwMa6VPq-UD5"
      ],
      "authorship_tag": "ABX9TyOXlwTvm1FTRznZSnoIuwHW",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/antonson-j1/nothing-just-my-personal/blob/master/EE4371_Assignment_4_ee19b025.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "OoqEOqYmv4yP"
      },
      "source": [
        "# **Question-1**\n",
        "\n",
        "Show how to implement a stack using two queues. Analyze the running time of the\n",
        "stack operations."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "faf87W_2v-kT"
      },
      "source": [
        "## **Solution:**\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "h5LRrmjlK-yM"
      },
      "source": [
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      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "pvRgETm6K-oI"
      },
      "source": [
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E/fEut65C1vq82k6hrzwuQAjSxbIUYjucKcdea+BvhHPqv7PfihbvxD8BNb8Y+PoJt9u2ufafs8Lg/KwgWM+aQejFvpX0F8SdU/bJ/a8+HOs2v/CEf2B4SlRQ+jQwJayXgDAhF847sDHtnFdDRu0rHT/8EW/CNvfab8V9auIFmW4Nppro/KvGwkd1I/H9ad+wD48sv2Y/jJ8f/hv4gvbW00/SpLjU7aN51UzPAzAxpzgsY8cD09a9e/4JS/Azx78E/APjq38d+H7rw5Nf6nDJa2t3t3uqRkMw2k8ZI+teV+Iv+Cbnjf4hftmeKPFPiaC2h+HWtX+oXa6hZ3ym4jEkLeVmI8/fK5H8qi8btMzum2cT+xl8GbX9t745eP8A40/FaP8AtDw1YXheKxu5P9HeT7yRsTwYYohyOnNeNftDeLvhzdftbeLk8HaFpUWhWunPouiQaTAkVtNfSQiBZmPAwrSM248fJ1r16b4K/tW/sQfDnx7Y+HpdH1f4cqkkt5cbophJCyBHkSNyGjIU4P0yM15t+xp/wTuvP2rPBuo+K9S8UN4Z0mC7a0t0jsvOe4YDLuCWAA3fL+FaJq/NfQvbXofsR8GtQ0uH4b+HdJstdstdk0WwtNLurqzuEmHnxworBihOD3wfWvir/gtFbyTfBXwLcoyiGPW23cc5aBsY/I1U/Y3i1v8AYq/aEuv2e/FkNpf6d4qlfV9G8RW+UNxIsf3WUk84XH1FfU/7WX7M9v8AtVfCefwnPqLaPcLdJeWd1JHv8mRMjBHoc1irQmmzJe7K58i/F79sbRPhh/wT98CeFdE1OK68aeI/CdvpsUFrMHeyj8lI5ZJMfdbbuwDzmpv+CK/hFbfwP8RfFDH5rnUINNRscbYotx/9GLXnEn/BGXxXpuh+ILq48bafqd7b2U0mnWNlaMj3Fwq5jRnY4UNgLx0zXBfs4/ED48/DS30T4B+HvDWq+DNVv/Eq3t7rL2ziVYWVFkT5l2bdqZ3Z7VraMk0jSyasmfS3/BQbWvEXx9+P3gD9nDwxfmy06+C6jr0kDEkJnPzqOqpGpYDuWAryDxn8IPAXwW/bm+B/h34JXk0mq29xAdc+z3X2lVVZBvMjDOCY925c4xxweK479tfwH45tf28tV0/SNc/sS/8AFcNulpqU14bSN4WiWN0MnGBnOQO1fZn7Hf7EPhv9lW2u/GninxLbap4ruYfLbWLhxHZ2qsOTG7kbiR1J64o5VFF6RVj5O/4KpNqvi79sjwj4cu5fI0r+z7K2sJGOxU86YiV93bk9e2K+gf8Agqt8br/4Y/Bfwt8NvD+qrb3niSFra/VeXaySNVIJPRXJwfbNeef8FEB4X/an+HsfxJ+GEl/4g1PwPqw0S9uLOxkKzRyHO6Jto8wJJjlMgZz05r4b8aL8X/i1qV7418U6RrviEaOkUF3eXVnJ5VvGhBVDxwuF5x2pRimkTGKdj95/2cvBsvw4+BfgDwxdTme60/RreF5P7zBAzcjrgnFfMX7V/wC3F4msPiC3wa+BmjyeIfiMz+Td3whDxWLEcqA3BYA8u3yj3NZHwa/4KyfCrVfCdhB4tttW8Ma7BGlu9vbWrXUDEKFDqVztHHQivlH9mb9rLwz+y342+NPiLxJZX/iHx5qt28OmeSitFMTK5Yu+cqNxRjg9AQOamMNW2KMNW2j7X/4J8/tLfEP4leJPHvw1+KgWbxl4RkUyXSxojFS5VkfZ8pIbHI7V9sV8af8ABO34K654f0fxP8XvGYx4x+Ilx9vlhx/x725Yuin65B/KvsgzRowDMFJOBnjP09axqfFoZT+IkoooqDMKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigD5N8d6u+pft9/C3SWjuhDY2OrXiySIViLm0RCFJGDgMOnrX1jXy/wCJrrV9U/b08BQTKy6HYaDq8ttuH3pilqkhB9g6jn1r6g/irWp09DSfQWiiisjMbvG7b3p1JS0AFFFFABRRRQAnrXgv7YsdvqHgHQtKuHuIvt2tQKr28ioVKq7ZJbjHHeve6+fv2yNHtNa8D6XHfXbWVtDdmYvhtjHYUVGKgsAzOFyBnmujDr97E1pfGjlv+CdVutl8Fdet41/dw+KNQjXkHoyc5A5/lX1SOnNfOH7AehNoP7O2nxvbrbedqd9L5avvAxOyfePX7nWvo9ulTW/iMVT4mMf5VJr4Z/Zv0p4f23viBctLuZoNSMinnreIF/QGvuaU4U+1fCH7Hkkt9+1l8ULt2abet8Qx/hH24gD9D+VEF7rPtMgVsvzGfamvxkfeSmkbO1sdcU2GQSLkc0+sT4cyfEl19i8O6vcglmhtJX2/RCf6V8jf8E5JbPUfB/xV1Gx+S0uvHN5Ku7OdnlR4619V+PG+z+DdfkB2EWE4Vj0yUIH86+WP+CYun+T8DPFSSRYm/wCEu1BGP9/aI1z+YP5V1Qt7KXqbR+Bn2PBIsq/K24VJj5s1DaxiJMYx2qeuYxCiiikAUUUUAFFFFABTJGCqSeABk0+svxPqR0fw3q1+u3da2ks48wfL8qFufbimtxrc+W/+CfS/2xZ/FbxMxWSXUvFDwGVUKhlijUjg/wDXX9a+t6+a/wBgW4bUvgrqesvDHA2q+I9QuTHAm1Bh1i49v3VfSnetKvxsup8TFooorIzCiiigAooooASiuU+KEfi9vAOuDwEdOTxf5BOmtq+42vm8ff284xkD3618Q3sX/BQm81FLMT+DbKJnyb22FsYgM9wwL4/DNVGPMNK5k/Dm3l8ef8FgvG+swlmtPDmlvG7fwqRaw22Pb5mf8verX/BZry/+FTfDxmlEdyuuv5ZPUr5OWP8AKvnH9mT4b/H74wfH34uXnhT4jWPg/wAWWt35HiXV44wwuJGmcbYwsfQNE/THTryDTv27P2bPGHw98QfC+38Z/FfWPiXrPiW+aykGo7khtvnjTMS7zgHdg108vvpXN7Wkj9l9LmWbT7aRW3q0SsG9cgc1ZLheScCvB/2lf2pvBX7I/gG0m1mX7VqckXkaVosLfvrkoAoJODtQcZb8snirf7Jf7SmnftUfCSLxjZ6e+kXUNzJY3+ns+8QzoFYhXH3lKupB9/auZxfxGFnue3UtfHf7TP8AwUw8A/s6eOf+EQTTbvxZrVuyjUfsEyJDY5PKsxzucLklR04BwTX15YXsWo2NvdQMWhnjWVCRglWGRx9DU2a3CzW5YooooEFFFFABTd64zuGPXNDN8pyOMV8B/tO/t3eObj4sTfCL9n3Qk8T+K4f3V/qiw+fHbyYwVQE7F293f5c1UYuTsilHmPv3cDX58f8ABRnVnX9pz9l6wEavH/wkSTHucm6tlAx+Brvv+Cc37SPjT40eH/Gfhb4ilp/GHhC+W3ubwoq+Yjlxtbb8u5WjcZGQQBXB/t03VnL+3J+yxbyL5si6oGdcHgG6iC/+PK35VpGPLPlZUfdlZn6C0Zrlvib8TvDvwf8AA2reL/FN9/Z2h6XH5lxNsZ25YKqqoGWYsQAB614P+zP/AMFCPh1+0944v/CejWupaNrMKNNax6mqBb2JfvNGVY9Bzg4OM+hrGz3Isz6ipMivJfip+1P8Nfgv458N+EfF+v8A9l614gwbKI28kikF9il2VSEBbjJxVzwX+0r8N/iJ8S9a8BeHPFNpqvijR4zJeWcIfCgNtYK5Xa5B6hScU7PcLM9Oorhfix8cfA3wN0FdY8ceJLPw9ZO3lxm5LF5G9ERQWb8BW74L8caH8RPDNj4h8OalDq+i3yeZb3lvko4BIPUZzkEYPNLW1wN2jNQT31tawiWaeKGInG93AXPpk1L5gXOeB1yaBD6TNeOfGz9rj4U/s9zQweNfFttp9/IygWFujXNyAf4mjjDMo75IFbXwd/aM+HHx+0+4u/Afimz18W+BPDGGimiz3aNwGA98Yp2e47M6f4ieNLX4c+AfEXiq+RpLPRdPuNQljU4LrFGzlQcHBOMdO9eT/sf/ALVmn/taeAdS8R2WiTaBNp98bGeymmE2DtV1YOFA5Vhx2rpf2qtLn1z9mv4oWFqQJ5vDl8Fz7QMSPyr5t/4I/aCml/sv6jqAHzal4hunDY+8qJGg/wDQTVRS5GykvdufdFFIOlLUEBRRRQAlJvGcZ5pe9fMP/BQab4raX8DJNd+FWtSaJe6Lc/2hqssDokrWUcbM+0twQMZK9TTiuZ2GlfQ+ntw9aMivA/2I/wBoK5/aP/Z+0HxTqUezXI3fTtR2gBXuIgNzqB0DAg/jXvbNjPpRJcrswas7DqKZvBIAOe//ANenbhSEUde1yy8NaJqGrajOLbT7C3kurmYgkRxopZmwOTgAniuF+Bf7Qngn9ozwvda/4G1N9TsLW5NpOZIXieOQKGAKsAcFWB/Gs79rLUjpH7MXxVvEO1ovDOoEN7+Q4/rXzL/wR08Lvo/7OfiLVpVCtqniKYjBGNsUUUfGP9oMPwqre7zF8q5bn3nS0hx3pNw9ai5A6kpN4+vanUwCiiigAooqOe4jt4nkldY40Us7OcBVAyST2HFAD6K+bfiZ/wAFEfgN8LbiS1v/ABvb6vfROY5LXQ42vWRh1BZBtH4tXJ+Ef+Cq37P3irWodNfXdU0MzMES61bTXjgyemXUttHu2B70+VlcrPr6iqul6tZa1p8F9p91De2VwoeK4t3DpIp6EMOCKtZqfUkWiqdxqllZzQxT3cMEsxxFHJIFaQ/7IJ569qljuYpfmSVXXdt3KcjPpn1p6gT0Um4UtIAooopgFFFFABRRRQA3aN2e9Jsz1p9FAEXkLuJ5ye+acqbe+T70+igBu38TR93FOpG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SuTJ3YtFFFQSFJS0UAfM3/BQz4waH8J/2avEkOq/PfeJIJdF0yPyBKGuJYn5IPAAUMc+3HOK/L3wD+wrrnxE/ZJtPjH4Ovrq48S2V7cm40lSIy1tAwXzLdhyJFKk9ee1fq/8Athfso2P7WngbSfD95rk+gPpl/wDb4bmCJZCzeW6bCCeAd3UVb/ZA+AOofs4/AnTfAWr6pba5cWtxcytcwRFIykshYLtPsefxrpjUUYabmiaSPHv+CYX7Td78dPg9daB4j1X+0fF/hmUQSyTH97cWjcRSnucYKk+oGcV+cHxy+NHxQtf21tR1zXLb+3vGHhnW57fSdIuLY3EMAVm8lY4lyWA3K4xnJGa/UT4P/sGaJ8E/2nNc+KXhjXJdP0fUraaIeGYoAIY2l2lhuz90Mu4DsTXhX7f37P8A4s+GPxk8N/tF/CrRW1DVNPnE+t28KGUs6ABZWT+4YwUYryOvFVCUefTqCaubH/BOH9j/AMT+D/EWqfGr4oC6Xxlq6S/Yra+YG4VZjma4mwTh3yAB1C9cV5V8QI7Hxd/wWK8NQxOLlbKa0a4C87JoLJnI/BgtdNpf/BaDR/7FW18Q/DDVI9aUBZY7PUEEbSD0DqHUZHTBr410+18c/tkftXeItc+GNifDXiPU3l1ZIzqHlG0RFVHJmwDnkcD1q4qV25Fpdz78/wCCpP7S1r4U+Fcfwt0ZhP4u8Vqq3FnbjfLa2ZZfkZRyGl+6F689Kj8O6TbfsPf8E9NY0jV9ZstC8ca9pl5dRQ3EoWZ7yaEKI48HllXGCOMirP7K/wDwTXi+Gvjax8d/FDWv+E28XxhbiGJt0trazDGHZpPmldccE8ZAr3f9rb9jXwv+1ho+nQazeX+mappSymwurSQBFZwOHUg5HA6VD5Y2jcWi0PzM/Zd/bQ0n9mf9nfUvDPgzw1da18WfEmoSj7QIsxQqVCQbduWlYZJCDPzHmtj9ov4B+IfgL+wj4Oj8QRzL4k8UeMhretJgHyHa0mEUbkZwwyD9WxTPh/8Asv8A7SX7IPxA1HV/Dnwl03xvqEK7LTVngW+SJc8PEodSrkYzxkV79qf7P/7VX7bXgefTfi3q+k/Dvw5HMs9vo32BPOuZFB2O+0sUCk9znnpVStumO6Tuj0P9jrxZ4S+FP/BOC18R/wBpW9tbW2l311qUkbAyC6ZpFCHHO7O0AY9K8l/4IwQ6Vp/hD4q63ezwQXsV1arcXFxIF8u3EbyF2JPAznnpxmuD0L/gjv8AFVtaGman450Wz8LysslzNZmZ2fBzj7OQEJGBgk9a4zxT+wH+0n8H/E/i7wl8PLfUtX8IaxEtvPqFjew28OoW2TtSZWcEEZOR6ZpJRd1cnQb4d+I9t+1F/wAFPvD2tyMuo6FJ4hVLGKcboza2sbFOGGCG2FsfmK/Ziz0nQ/DrJ9istP0wzP5a+TEkJcnsMDmvyE0v/gmT+0d8IfEXh3xJ4CvtHl1u1iF0t5BeJBJZzspVo8SDDYBxnkGpvHXwB/bc+JHxA8OaP4uu9YuBDdxvb6xbX0IsrI5GZWMRHK9eR2olGMrJSKaT6n7EW91Dc+Z5MqSeW2xwrZKNgEqfQ4I496nrzr4D/BHRPgH4Dh8N6LJd3ZeU3d9f39w8895dOqiSZ3Y5yxXp0Ar0WuMxFooooEJUV1cxWdvJcTyJDBEpeSSRgqooGSSTwAAOtS/xV8w/8FHfiVZfD/8AZN8b251qHS9a1q1XTdPg34muWkkRZERRyf3Zkyeg9eRTWrGlfQ87/bQ8F6/pOt6H+058K/E2mPqHhXTXhv4ZZ1a11KxDMzKrgkEk5XaDknHevHP2T/ilH+3Z+2JF8QfGL2uj/wDCG6bGfD/h2K5Dbrgk75VDctjljjpgelfMfw5+OFn+0BL8PPhN8T/Fdv8ADj4P6BarC0OnI6reyRjhpZBnDM38R4XJJ9a9Q+L2m/Drw/8AtrfBKL9nS9s3k82yhvP7Bm3xlhcANubODuizu7de9dSVlY6OXSw/9uDwX49+PH7dnh/4aeINZsrWHUpIoNIjtA7x2Vk+WMkgI5kOxj+Havvj4R/sp/Br9kHwNNry6TZGfR4JL298U6xEkt2uxSWdWP8Aqxxwq+tfJf7RHxL8O/Bv/gq14d8W+L7o2mgWmkwrLOIml8rfazIrbEBZvnYfdB9a5j/goF/wUK8NfGz4e6h8Ovhpb3+oaXczwvqeuvA0UTxo24RIp+YZYDO4CpacrITu0rGf8Xv+CgPx1/aAt/Gdz8JLC68KfDzw/C1xeavaKFuo4FPDvcPjYz9o0+Y5r7p/4J//ABC8UfEn9kfw1r/jW9uNT1aQ3aNfXbfvLiJJnVHZjycgYz7V+N2n/HHWPE3wc8O/BLSIdN8LaLc6kbrV9UNxsOpzPIuyS5diAqRAA49s9q/Tn4ifti/C/wDZQ/Zo8J+HPAmr6R8QTaQQaIbOw1NQ6xGM+bccA5OcnBxy3XqaUo6WSCUex8d/sK/sV+Gf2wNS+IeqeJdV1PS9P0i9jihTTGRZJDK0jnczKc4AFet/8E89Pv8A4L/t3/Er4S6Xq1xe+FbGG+jMcuDvaGaMRu2OAwDYOB3rzX9hP9tnwJ+yn8L/AIkR6na3l/4h1TUkutLsYIjsnAjIUPIcBApPOecdK96/4JX/AAl8V+JPiD48+PnjCzmtJfEYkhsDOCpuDNKJZ5Qp525VVBI57ZHNXJtJ3CTaTP0pFeN/tkeILrwv+yx8UtSspGiu4dAuVjkXqpdCmfw3V7LXF/GbwQvxI+EfjPws8fnHWNJurNI26b3iYL/49iuWO6MFufM//BJzwzbaH+x/o2oxwrHdaxqV7czyY+Zyk7RLk/SP9a+y+gr8+f8Aglx8fPDug/Bu7+F/ivVrPw54p8Mancxmz1KdYWkiZtxILYHDs4654r7d8J/FDwj481DU7Dw14l0vX7vS9n2yPTbpJ/ILglQxUkAnB71U0+ZsqW5+cPx40lbX/gr98PLrUQFtbptPlt2cgcrBIq44/wCei4+tfqEhZS25sgnI7YFfC3/BQz9ibxt+0H428I+N/hxPZ2/iHS7f7JcNc3Rt3CrJ5kUkbf3lZm/SvrHxbq3izwN8JZbvRdEfxz4s0+wjCactyts1/MqqGO9hhcnJ9+lVK0lGw5apWLPxm1e30X4Q+Ob+52m3tdCvp5A3TasDk5/Kvk7/AIJAW8lv+y5qTMrLHN4mu3jHbHlwqcfQqR+FcV8XvF37Xf7UXh258G6L8JF+GegX8ZtNUudVv4neaNwVdQzFTswedoJIzivrL9kX4Ayfs1fA3QvA898upXlq0lzd3MYwjTSNuYLnnA4/KnblhYNo2PaaKKKxMwooooASvzT0eGDx5/wWM1T7bAs8WhaezwrKudkkdnGFce4Z1Ir9LK/J39ovx9P+xz/wUgvPihrGh3mpaDrOnMyNA4jE4e2WJlVjwCroOtaU+ppA9j/4LBfETS9D/Z90vwe7BtX1/VormKMMPkih3M0hHoTtH416L4b8babY/wDBNODXZbiNrSP4dNbtJ/Dv+ymEr9d/y/Wvkrwr8BfHP/BSb4ieKvif45t7zwl4aSyaz8OWrAqA2D5QBI5UNhnYDBBNeb614N/al+EHwt8Tfs9DwXqGv+GNSff9q07T5LuONDIrkRTKMKrFASD0ya25FZK5oo6WN7/gkL8N7fx98ZNf1LVlW80zw1axX8NnKA0X22RmSKXb03Kokwexr6F/4Jk6XFof7QH7TFmrMzQ61GnzLtOPtF1xj0FUf+CQnww8SfDe6+Llv4m0G80LUln0+3Ed7btGcBJmOMjkfMvT1rtPHX7GXxt8OftD+KfGnwV+ImmeDND8WyR3Oqx30XmyLIPvAJ5bBhksRhh16jrSlJNtXCTV2rnK/wDBQT9kf4TfDr4V/ED4u2GiyW/iy7WCKGGOUi0FxNcoHlEePvkFu/4V9Df8E+fB9j4Y/ZH+G0sGnQWt9faYLm5nSNUkmLyM4LMBk/KRjNZH/BQr4U+N/i1+y3N4a8K2L+IPES3tnPPFAUiaZY8mRlBIHJ6LnvgVU/4Jr/D7xt4H/Z9U+PG1mDV7y8dYdK1jj7DbRARxJGh+6pAJqG26e+pDd47nzP8AtvXVj4H/AOClnwX8SFvNkmfSvtEPTYv2t4wxx3wa6j/gp3Ebr9pn9mmPfhBqgyvYZvLUA19bfET9jz4b/FL4yaJ8TfEWmXN54n0hYBbMtyyQ5hcvGzIOpDHNcB+3B+w+f2uG8MX1j4l/4RnWNCE0cc8kBlR0k2kjAIIIK9aqM48yuPmWh3PxM+L3hrx98M/jnoGhXb6he+F9GurPU9sRESSy2krbFfGGIA+bHQ8V5n/wSpuVk/Y90QYVdmp364XpxOev51638Df2bdH+DfwHj+G5nbU0uLWePVdQC7JL6acN50pznk7sDJPAFfJnwH/Yg+NPw/8AiZp3g7V/FBtvgXoeuPr1mum3qpcXsqtvijkUfMFLY3KeDg+tTeNnFMV1ytH6MUtNVduB6U6sTIKKKKAMDxR4C8OeN2sG8Q6Hp+tnT5xc2n262SbyJB0ZdwOD0/KvjL/grh4d8b3/AOz/AGN54avZYvC2n3W/X9Pt+DNESnlO3qiOMlff2r7srivjV4THjr4P+NvD3k/aH1PRru1jjVNxZ2hYJgdzuxirhLlkhp6nzz/wS/NpefsceEUt4Psslvc3sNx5fBaZZ2BZsdTjFfAtr4Lt/wBrL/gpR4o0gsX8OXOtXFxqJjORPZ2oHyn2YxIuP9qvrb9gvwt8W/hT+yf8U7XWPCupWWtxXV7d+HtGuoQlxJK1vnAGehlxivMv+CUfwh8TeA/j98TJfGmh3ek65Z6TbxOL6EhvNnl8xyG6HpgkE103UXKSNVpdl74d6TZ33/BXfW47WyjsrbSNMkighhUKkYhs441AAHoR+dc5/wAFX/izpKfGL4a+FLuf+09K8PlNS1jToHwzEyDCHsGMYbHpmu//AGiPCPjb9lL9sG4/aI0Dwrc+NPB2sWjW+q2diMzWjFFSQkdQMxq27G3mvkL9rj48eCPjJ8WNE+JPhLwZq2k67EYptYsNctswXEkTggnGcqVG0/yq4+80y1Zu59o/sh/Bfxd+0R8aIf2k/idbjTrKNdvhTw+qbVt4ACkb7eyqp47lua/Qo4GOxr86PAP/AAWL+Gll4Zs7bXfBevaNqEMKx/ZtNjhkt8gYwmXUqvtioPiF/wAFSr74o+B9W034I+AvEl54qMLFr6W1WWOxiAJaTCFstjkD2rCcJzkZyi5Ml/bm8EaV+0D+1l8IPhjoVlZ32o28jan4imt4l3RWodcrMyjuqvwa4T9gPR9H8N/8FF/jFpegWy6bodjb6la2tp02ot7CqgZ54AY/Svaf+CWvwh1nS/BHiT4n+NLa6bxr4qv3H2jU0ZbkW6eobkBmyQPaua+Of/BKTUfHnxa1/wAdeD/iS3hy51q+mv5ra4s2zC8jbmVJI3DFc881pzL4Gy+ZJcrNj/gqt8StSsdC+Hfw00zUpNJtfGGp+XqlxESrfZleNNufQmQkjuFrI+K1p4U/aG+I/wAOP2afhz9iufBPhN49W8QanbYeKOOAgLbxsvBdsnJB/i9q83+LX/BKH4q6h4btryy+KA8d69a8JZ6oJLdApIJ8uRnbHI74rh/2Z7j45fsM6n4ntn+AeseJtU1MxwrfRxSyxpGm47VaJWDBmIOc5qo2t7ruUkuXRn7GW8aW8KRJwkahVX0UcVLuDDg5r4a8K/tCftbfFya1tdE+Cmk+BLeV8S6v4lmkEca9M+USHbHXAGeK+kfgb8PfiH4Pj1q++Ivj/wD4TXWNUmSRYLWzW1stPRQR5cCcsQc8luTXJKPLuzncbHqopaKKgkSkLAd8UtfOf7Yn7Xlp+yloWjTv4cvfEl/rDTpbw2x2xxeWoJeQ4+7kjjOetNJydkNK7sfIv7QngNPHv/BWjwFpwj3RrBYancheywI8nP8A3wK/UFsSYAGRnmvwx+E37S/iLwP+1toXx0+J1rfHTtZM3mTi3bBtJYWjUQDoRGGHGcnFfZPxS/4K7eCf+EVmt/hrousaz4nucwW/2+zMUcLEYVyASXOcYUDk10ThJ2SN5U5SskeC/tm/EXxH+yT+1J8XZNCS3u7f4maCm+SZvntg6mNiAOhBDHB6/Sv0K/Yb8M6P4P8A2XPAOmaJqdnrFolj5j31icxyyuxaQn/aBJH4V+OHiqe3a28f3vx50rxdB8UNYt0vfDeoToUhEhYsQyvj5GBA4ziv0J/4I36pq158BfFFhdxyDSbHXGGnu33DuQGQJ7Buv1qqkbQHUVon6A0Ugpa5DmCiiigBK8y/aS+N1h+zv8GvEXjq+hW6OnQgW9oW2/aJ3YLHHn3J59ga9N718l/8FRvBsvi79j3xVNA22TR57XVCPVUlCsPyYn8KqNnJIa3Pxu+PX7QnjL9pDxtL4k8Y6l9rnAaO0s1G2C0iycJEnT6seSfU19H/ALP0fxX/AOCffivwP8QvEelbfhz40WGO+W1nWWNoJArI8gGdkqK28Y64x7V8of8ACSaVB8M5/DqaLC2uXOppeyavIcypbpFtS3QdgWdmb12iv1l/aa0xvEH/AASh0uTXIFtdSs9F0e4EbcFZFlhTA99pau2a5bI6JaWR7B/wUXuJrr9ivx5e6ZfyW2be2mWaGQoZIjPHuXI7MpI/Guf/AOCfHi628C/sHeGPEHizVI7LS7GK9uHvLmTASBbiTHJPXAOB9K8j/ai8YX99/wAEnfB95e3BF9rGn6LDIWzlySrkfiI/0rxz9mGy139tGH4e/CtIZdO+DngGyhm12BW2/wBp3W5nKyc/MCxxgdMk+9YqF4akqN4nF/txfFzxj+0XpPh3xPfvNofg3WdWmsfCegujKbm1j2q17KOpLOyhcjPPAwK/YP4Q+EJPAHwr8I+GpSTLpOlW1k5znLJEqnp7g1+e3xy8Pad8XP8Agpr8MPh0EVfDng+xtpV02FQsUflq9yy49PlhH/6q/TG7lENpcSNyqRsx+gGaVRq0UkFR6JI/OH/gmPvf9pj9omSd1ef7dncvo13Of8K/SXcM4zX5Mf8ABMPx02j65+0h48SzfU7ix01NRFij7DPte5l2hiOCQo57Zr6q/Z9/b0tPj58BfiV40/sX/hG9Z8H2cs9xambz0P7mR4ZF+UcHZgjHalUi27oVRXeh9fbhnHelr43/AOCYPxu8a/HT4K6/q3jbU31i9s9cktra8lUBzEYo5Nhx2UuQK+x/pWLTTszJqzsLSUtFIQzOBnHH0r5a/aC/4KKfDD9nfx6PCWrrqetarCoe/XR4kkFkGGVD7mALH+6Dkd8V2n7W37T+h/sxfDG81q8mil8QXUbw6Npjk7rm46At6IpIJJ4xX5TeGf2Cfi9+0h8L9U+L9vLHearq9493b6VdnbPfoxJaUOxA/wB0MR0rWEFa7NIxVrs/Uj4G/t3/AAf/AGhNeTQvC/iCaHXZBuj07VLY20smBkhM5DHHYGvUPEXxo8D+E/HWieDdY8Uadp3ijWzjT9LnlxLcHoAB0BJ4AJGTwMmvye/4JmfAFtN/a41PS/Heh6npXizwfYf2pawtKEW3lJWMiQDIcMs3GDUn/BTh7zw5+3Z4V1gX0duVs9Lu4JJH2i3CXDAknsNylic9Kp01zcqK5FzWR+x006W8bySuscaLuZ2OAoHUk023u4LuGOaCaOaGQbkkjYMrD1BHWvyr/aj/AGlPiF+1tp/jnSfhYsmlfDTwZZS6hq+tCYxHU9i58tSDyp5+Uc+uK9A/4J2/HvUPAX7DPjzxZ4pu5b3R/CGoXKWBnJZyghiZYc8nHmSAD/epOk0hOm0rn6Mhg3Q5o3DpX4/L8a/2wPi38Pde+Nmga/8A2L4L0t5J2soZY4omiiPz7EYZcDGD684Nfpr+zb8UpfjX8DfBfje4hWC61nT0uJ40+6soJR8fipqZQ5SZR5T02ikpN2GAPWsyB1FFFABSUtM3cZ7UALuo3V+e37V3/BSDWPDvxBb4Y/BHR18TeKo5fIudREPnxrIePLhQZ3EE8sflrzNv2rP2tfgL488E33xe02I+GNev0shZm1t0LbmUNzHllYBuhxWqpyZoqbsevf8ABX++Rvgx4G01huF94mhBUddojcHH/fQ/OvunRLdbPSbC3QYjhgRFz1wFAFfnx/wVLvn8V/ET4GeCdPkR9RutT+1pG5wP3k0MaMc9ej/lX6IghevbrgHP4US+CKHL4UiWiuHHxy+Hx8Ux+Gx400R9ekbatgl9G0pb+7gHr7da7bPfmsjIdS1wHw++Ongb4qX+s2PhXxDa6xe6PMYL+2hyHgYOUO4MBxlSMjjiu1XUrZrlrYXERuVG4wBwXA9SvWjUdmWqKaGGOvFG4UCHUVGZVVSxYAAZJJ7etc74Y+JnhPxpqmpaZoPiPS9Z1DTWC3ltY3SSvAT03BScUAdNRTSw9cUm/pQA7Irxj9svWNR8P/ss/E3U9IvJtP1K10aaWG5gYq8ZGCSD24zXs2RzXzh/wUQ8WJ4U/ZD+ID8GS+tk05FPdpZFXH5E1UdWkXFXkkcH/wAEpfH3iHx1+zPKfEOoXGqTafrFxa21zdyGSUxYVgpY9cMWr7Nr5C/4JYeGh4f/AGQ/D02wrJqV1c3rk99z4H6CvryifxaBP4nYWiiipICiiigAooooASiijNIAzRXE+FvjR4L8aeOte8H6Jr1rqPiLQlR9QsoSxMAY4GWxtPPoTjvXbfjTHsLRRRQIKKKKACikzRkUALRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABSUtFACAe2KOaWigBuOKApp1FACUUtFABRRRQAUUUUAJRS0UAIRTWjDRlSMjGCDzkU+igDkbr4Z+Djd/b5fDGjm7Db/ALSbCLeD13btvH1r82/+CYdpD4o/ag+OXjpLYzCPzLa2iTAGLi8Z8A9B8sQr9D/2hPHEXw1+B/jvxPKwUabo11Op6ZfyyEH4sVH418Sf8EZfD+34S+PdZbHnX2vxQF/4tsUIc8/70hrppt+zk2ar4T9ErWBPJUZZsHJDHkex+lW6YkKxtlRipK5jIZtPrxS7adRQAU0rngnNOopANxShcCloosAUUUUwCiiigBO9ecfGX9nrwD+0FpNrp3j3w7b69b2jM9s0jMkkDMMMUZSCMivSKKAPJ/FH7Kvwn8Y+B7LwjqvgXSJ9CsY/KtLdIfLa3AGAUdSGB981yfwd/YN+DXwJ8Wp4m8J+GGh1uIsYbm8u5Lgw7hg7N5OOK+hKKrmfcfMzy/4ufs0/DX47JH/wnHhGw12eNdiXUqlJ0XnAEiEN39av+CvgH8Pvh34RufC/h7wjpem6DdI0VxZLCHWdWG1hIWyWyCc59a9BpKV2F2fNfi7/AIJz/s9+LtPlt5Ph3Z6Y7uZPtGlTSW0ob1BVsfgRivlz9qr/AIJkfB74RfAXxp418PXHiKDU9GsjcwLcX6SxM28DaVKA459a/Tf0r46/4KofFDT/AAH+yvrGgzPnUvFMsen2sPOWCyJJIc9OAB19a0hJ8yRcW+ZHiH/BLz9j3wB4q+Elv8TvFWgQ+INY1C7uLe2h1JEltooopAodUIPzZU9fSv0tsbODT7WK2tYI7e3iUJHDEoVEUdAAOAK+bP8AgnD4fk8O/sZ/DiKT713bTXvPpJPI6/mpB/GvppelTNu4pPUWkYZUiloqCD5r+Ov/AAT7+EPx/wDEj+Idd0m70vXZBiW/0W4+zPN7uMEMffFei/Af9nPwP+zj4WOheCNIXT4ZSrXV27b7i8dQQGlf+IjPFen0U+ZtWHdiYpNvzE45p1FIQ0L60tLRQAUUUUAFFFFABWTrnhXRvEixLq2j2GqLEcoL22SYL9NwOK1qKAKsOm21rapbW8KW0CDCxwqFVR6ADjFS+SADhdvOeDUtFAEaxhCSByx5Pen0tFADdtG3nPenUUAJS0UUAJRS0UAFFFFABRRRQAUh6UtFADefSoY7WOOZpljVZWwGkAG5gM4BPfGasUUARTQrMjIyBlbhgQCD9azZvCejXGfN0ixkz1L20ZJ/8drXoo1QHIap8I/BGu5GpeDNAvlB4FxpkMn81rQ8N+BfD3gu1a28O6DpmhW7HLR6baRwKfqEArfop3fcd2RrHtwFUADge1PpaKQhrKGUgj86btK8DgVJRQA0Ke+KWlooAKKKKAEqpe6bbalC0V5aw3cTKVKTIrgqRgjB7EdauUUAed/Eb4B+A/iz4JTwn4p8L2OoaHEMQWqoI/s/vEy4ZD9MVwHwp/YR+DXwX1+TWfDXhVVvmKujX073SxMpyCokJwQa+g6Krml0ZSk11OE+KPwS8FfGrRf7K8a+HLLX7RX3x/aky8Z9VcfMv0BrQ+G/wx8N/CXwrZ+G/CmlQaNotpkxWtuONx6sSeSTXV0Uru1hXYUUUUhBRRRQAVxPxq+H8fxW+EfjDwfKqkazplxZpuOAHZDsOe2G2n8K7akbO0460LTUD8dv2A/id8Fvg+3ivwV8a9I0XSfE2n6oZrXVNY0wXGMDa0Rk2sVKkZBOAc8E1u/t2ftQ2P7WXiDwv8EvhE82tabNexNdX1qjLDcMSqoioQCEjJ3ZIA4r78+K37FXwZ+NniA674s8D2l7rDDbJeQyy27yD/b8tlDH3IzWt8Hf2VPhb8BmaXwV4Rs9Ku2JJvHLTXHPUCRySB9DXT7WL97qbcy3PjT/AIKkQx/D/wDZf+GPwy0y0kZftMKq8aEpGltAR1x1JbpXtv8AwTB+HNh4J/ZP8M6nbIDd+IjJqdzKR8zZYqq59AFr6j17wrpHijT3sdX0y11S1ZWUxXkKyr8wwevrTfCvhPSPA/h+w0TQdPg0rSLGPyrWztl2xxJnO0D61k6nu8pHNpY/Nf8Aa8s/EH7K/wC3Z4d+Pf8AZV3f+CtQ8mPULmzi3eWohaCaNj/Cdm1gTgHjmvrX4b/t1fCb42eN9J8G+D9UvNb1XVbWefbHZOsdukabmEpP3SRwK971vRNP8SaXdabqtlBqOn3KGOa1uYxJHIpHIKng181fEm8+Bf7AfhXUvGmmeENO0nV9UPkW9lpUYW6v3znYhOdqjkkjge5wKpSUtLalc3MrHxD/AME1vHnhPwl8Xvi18OvErJpU3iqOezgkuWCQqsZlDxMT90lWOM4z0FfOHgn40X/7NehfGf4f2FtHqL+KrYaIbsSYSFYpJVMo/vFo3IGK+0PA/wCxV4p/bg8ayfGL4pQxfDrR9RKtY6JotusV3c2+TtaV85BI/iIzznFR/wDBR39m34a/s/8A7K2g2HhDRo9P1Aa7EEvJCZLmdTFIXLyHk87ePeuiMo3t1NVKN7H0N/wSr8Kt4d/Y88P3LRhJNXv7zUC2PvKZTGp/75jFfXwzXmn7M/g1Ph/+z/8AD/w+ieWbLRbZXXHR2QM//jzGvTPauOesmznluLSUtFSSfl5/wWa+D9/dWnhD4lxXckmnWwOhTWbcrE775I5F9N21gfoPUV9bfs1/HTwLL+yj4R8RjWrG00zTdDiiu4mlVXhkijxIm3OdxKnA78V658VvhV4d+NHgHVPB/imyF9o+oR7JF6OjDlZEP8LKeQa+DZv+CLvhxbwpbfFHW4tKaXe1i1ih+XOdu4OOccbse9bRlFrlkzRNNWZr/wDBOHxPcfHH9oT49fGGeHyYdQmttNto+uyMZbaD/uxxn8a+RP8AgqprMniz9szUdMtlaSaxsbHTo1IOC7xh9vvzL2r9iPgr8E/CvwD8D2fhXwlpyWOnW4y74zJcSYwZJG7k14t8Yv8Agnj8Ovi18WLf4jmbUdI8VDU7XUbueKbzIboQ7QIjG33QQigkVSqJTuPmXNcx9W+BVt8A/wDgnX4v8H2Fsst/F4Vupr2SNfmnuGiLOeOuOn4V8u/CHw6dS/4I/wDxDi0+WN7w39zfXKbhlBHcQFgfQ+XGDiv1X1DTrbVtNurC8hWe0uY2hlhf7rowIKn2INfD3w8/YP8AGHwX+Luqaf4Y8Q2uq/ArxWLiPxB4Y1V28xI5ImXCYBBYEgBgQcfoRne4KWmp8p2P7cHh+0/YF0r4L+GdLvLjxzeWj6PcxeURHGjzEmRWH32YNgD35r9Pv2U/h3dfCX9nXwD4UvlK3mm6XGtwD1EjZdhx6FsV8T+L/wDgjedN8SR6z8OfiVLoklvOLm0h1K03tbuH3LtlQ5OCBgle1b//AAx3+15rFxbWerftEJFpqsVkuLSWfzdh4PGxcnHbI+venPkktGU+WWzPvzVvF2h6DfWNlqesWOn3l/KILS3ubhI5LiQ9FRScsT6Ctbjg18p/Av8A4J++FfhT4vtvGXifxBq3xM8aWsols9X16RiLMgdY49zAHPIPUV9WLWErdGYu3QWiiipEJXz7+3t4/vfhr+yX8QdY0yeS1v2slsoZ4WKvGZpFiLKexAc819BV578evhHZfHX4Q+JvA2oMIo9Xs2ijnYZEMww0b49nCn8Ka3Gtz5Y/4Jz/AAV8FfBT9n3TPibrzafb+Itege+utZv5FBgt8khFZjxwMt3Nc/H8SrT9vb9qbw3b6Pp8k3wl+HEs2pXOpTxEJqF2QEi257AjIGM8Zr4Bt/gavgT4qSfD746eJ9f+HOmQtstbwW73NtIm7CsvzFQpHORkCv2N/Z0h+Dvwe+FWleH/AAR4p8PSaNFH5j3h1CESXJIyZJMtnJ9+ldEvd97c6Zae9ufFH7a3ixpP+Cj/AMK7WC0W/k0b+zIIrbOC5lleTI+ny819Af8ABTz9orX/AIJ/B3S9N8K3BtNa8U3D2K3MYBdIQoL7T2J3AA+9fHfx8/aY8BXP/BSDw18QLO8XVvCWgva215eQxkgsiMruBjJCE9QO3FfR37eV38LP2rPgdY3nhX4keFh4m0JjqWlq+oKkkq7MvCEJBDttGMgcgVVn7t0Fvh0Pkr44fsUSfAX9nnwP8Uf7c1Gbx/qOsWq3EJI2xtKruvl8bi4YL65zX7OeGWu20PTzchnZrWLc275gfKGc++c1+Nmg/tqSftBeOPgz4c+Ll1a6F4Z8J6gLvU9TjLGO9li/493kVQdoUjBI4OSTX6r+IvjV4XHwk8Q+N9F12x1jRtL0qe/a7024WbpGxQEKcqeBwRmnUTsgnfS5+RP7Lf7SUH7MHxO+NPiSVhNeXNrc21hYsCftN39sBj3EA8DLE+wNYPgf4w/Ef4R/tbeFfiD4vluLbVtfuoL++S5kISewun2EEE4AC7sdMYrW/wCCefwLtf2iP2g7jUdeVbrRdBQ6vdxyjiaRn/dKfUFuv0rqP+Ct01sv7SGg6VaxlTpnhq0gbywM43yFVC9RgMOvrVPlLfKfQn7Wn/BVq58A+ND4Z+FVtp+rx2TYvdXvQXjkYEZjiA4I6jd7cV9v/s5/GO2+PHwU8L+OoUS3bU7bdcQqSRDcKxSRQfQMDX5b/Fr9j62+BP8AwT5g8R6xDbjxpqmsWN5e3IXf9nhk3bIVPYjcu7HXNfYn/BKrxRaal+yBpOn2waS403VLu0nXaSNzSs6nOMEYYcjgVjUiuW8TKajy6HO/8FAvjp4q1nxn4Z+AHw4ma28ReJth1O8jDBre3cjABHQYyxPoK8VtfgCP2Gf2x/gGmg6rd6q/ihWsdX8xztllbEbkdyvz7hu9K2PCvxS8J/Df/go98bPGnxN1r+yYtGs3t9Ka4BeRlYIqpEoBySm7A9eO9WvgHr2tftz/ALbEPxZFu2neAPAhaLTIZSTvYBgmB03EnecVVrItaKx9n/tlfGXVfgP+zr4r8Z6D5A1uySKOyNyu+MSPKqZK98Anj2r5z03/AIKOp4a/ZJ8L+LfE9zZ6j8TvEFvdJaafp8QCmVHdUd4wTtXG3P41L/wV98WXGlfs36To8Tqqa1rcaybsg7I0Z+P+BYrxr9gX9krTbj4D6/8AFbxPF/aGoX2j6jbaJZ3CiRLSHypMyL1wTnjuKUIxtdkQirJs92/4JiftPeNf2hPDvjdfHOpDVNQ02+ie2lWIIEikQkpx1xjjNch/wWS+ID6b8LfBvhG2uAj6tqT3U8fOSkK5Q/8AfZxWd/wRl0eC1+H/AMTLqY4uTq0ELvn7qpGx69P/ANVeAft9fFrw7+0h+1P4Q8O6bfzRaBZyx+HZdQVcxnddBZJkJ4ONxGRxxRGPv3sVGP7zyR9+fBz9oH4N/s+/A3wD4U1/4g6BpV5Y6LarLB9rWRlcxhnz5e7ncTX0t4d8Q6d4s0LT9Z0i7S+0u/gS5tbmPO2WNhlWGeeQe9fF/wAA/wDgnF8Ov2ZdY1Dx74t12PxCdPgkkWTV441srSEDJkcMDkgZ5r7K8K6zpHiLw3pmp6BPBdaJdW8c1lNagCJ4WAKFRjgYxx2rGpy3ujKpy3902KKKKgyCiiigApKWkoAK+Vv29v2pL34B+BbHQ/CkUl98QfFTGz0i3jQsY1PDS/XnA96+p26dccV8CfCO1s/2tv25vF/xJnf7b4P+G6xaToqspCPdHcXkGcfdZWP5e1aU1fVmtNXd30POf2L/AIR6r8Af2zNB0XWdal1HxH4k8ETa1rkTLzDcPLuCMe5Ar9P1bdGDndnvjFfC37N8b/GT9u74w/Fe3UnQtCt4vDOn3PJWVsKHK+wKn2r7R8T+NtB8E6YdQ1/WbLR7If8ALxezrEh+hJ5/CnU1asOo+aRuKeKoa14g0zw3p02oatqFtpljCN0l1eSrFGg92YgCn6Xq1nrWnwX2nXMV9Z3CCSK4t3DxyKe6sODX54/8FXvEGreLPEHwl+E2n3Ettb+JNQM1ysLYMg8xYkBHQ43E4NTGPM7EQjzOx9peH/2kPhf4q8XReF9H8c6NqevzbvLsbW5Du+0EnBHB4HY16L5ivGxU4HrivgX4Kf8ABM+z+B/7TWh+NNK1eW68J6Tp3mW8N1K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/c3lk0n9n6cz6VOOsExMjoQOhPA4/OvoT4hftffFPxj4W1XTfDfwe12xku4WgF1dWU0mxGUhiAFGWGeO1fNP7O/gP4032reLvA/gqS48NT3VnHJqkOqo1vmIkqCuVyGIY5weleZiOWdWEeXm3P2jh/AYvK8vxEsRXjTleNrzTsk7va59Qf8EvfE95f+EfGWhzyyS2en3sM1qrnPl+bGS6j05X9a+4e9fO/wCx/wDsxXf7Omi60dU1SHU9V1eWN5BbIVihRFwqjPJPJya+ia7qMXGmlI/NOJcTh8Zm1evhXeEnv301PmH4D3GrXH7V3xuN0jLp0clvFC0h+ZiADx/sgMPzr0v9pS11EfCHX9U0eymv9W0m1lv7W2gI3yskbZABIDHHO0nnGK4T4O2N+37U3xavrm+je1UQxRWSkbkysZDsPcA19D3zLHZ3DOAUEbEhhkdK65fEj51v3kfz1fBf4i+G/DPg/wCMvhjx/a390viLTYTa2NnIYWfUobkNCSRwAhZmIPB2Y7ivBmRvMIOd2cc9f89q6/WtC1Lxd4u8R3ugafdalDHLdajI1rCzeXArlnkYDOFUHJ9BXK28yw3kUrxidFYMyMTh8HO0kcjNdFtdDpsQeWwydjYBwTj9Ku2epXVvaz2kMvlwXAAkQYO7FdtpeoaZD4N1pbM3TXd4Y4orOPDRogl3uJDjcQBja2c+tcxrGbzyL6GxNvaqkcUca/OpKgA5PfJqw5Xa5Xj022bR/tBlna8MnEaRbo/Lxyd/94emKiuLGMW/nQ3KOg2qwkYI4YhjgL1I46jii11K5tYZTDujbcD56blaI+i4IAz0wa1tD+JHiPw3I7WGpvC7Ags6JIRk5OC4ODzSJ06Ht/wL/ZV+NHirw3a/EXwZp91o9ppSz3MWqTyi3XykXLtGOWYkbgcjBrqf+CZOn2nij9s7w3carHDeN9mvr0eYoIMwiJU/XJzzWd8Pf+Chnxl8I+EbPwnfeIBN4SkdoLqaTTY5LoW8hIkRHbAB2lsdwa9U/Yx+HWnfCX/goR4U0zw3qlxr2g3WlzXFnqdzatAbiKS03MQGAztbcOPTPSnK9mxa2P2RhzsQsdxx97POa+Xv2ctNaX9rb9ojVQSYVutPtB6bhEWYfXkV9RomxSN2RnI9q+W/2XrO8/4aS/aKuJLzdZtrsAjtlPAIhAJPv1rkh8MjGOzPqilpBS1ijMSuB+PmoWel/Bfxpd6gcWUOlXDze6hDkfWu+NeL/tkTpb/syfEVpG2odLZc8DBLAce9XD4kVH4kdJ+zzpUmi/A3wFZyjDxaNag8g8GMEDj2NfnR/wAFeLHxNqHiaK+ltZD4X06xghimBBXzJJAWbGcjnjOK/Sb4KXUd58HvBE0UonSTRLNlkBByDAleRftmfse6X+1F4Qkd769sPEml2kp0preYLDJLgsscyEYZCwXnIIya0jJRm2y07TbZ+WXibWvh/wDGzwDBeWmnR+H9fWzh04eHLGGRlj8ox/v45CmwMQrfebOJnGK5i30L4N6peXGjXum3Gj69mN2muNSFtawRRr8ypjdvlfHO4KB2r9U/gj/wTn+Enw/8A6LZ694Rs9c8RrBG2oX9zLIfMm4LYUNjAI6V6Tpf7F/wO0bUFvbP4YeHY7pW3iVrQOdwOc/MTXV9YgtLBKSZ+RXwn+DvgWHw/E+oQiTxjcBNTsP9PSRbWF2IhBjB+cADczVb1D9mnRvEEdxrX9rPqc8sMcc1vZXCmWRhtWSTaf4xtJCtgHpX7RQ/BnwLb6hBfxeEdGivoIvs8dyljEJFi/uZ2/dx2rVt/Avh2zJMGg6bAc5zDaRoc/UCj6zH+Uamrao/FPwf+zJN4C+JNj4h8G+ILqe1s5i1s2paaCJFK7WR8MByCR0P0r2b9pj4N/CXxYumeJy2pSa9qFlDYvaNajTba0IV381SyqGlZuOpHHOBX6rW+j2NpbiGCygiiU7hGkagZ9a4v4zfA3wl8d/CI0Dxfo8Gq2UcouIUkLLskAIDArgjg1H1iMtLFKpHsfkt+x98DtYutK02fSdPa/1e/uHu2WWDiIwyKgjL56YYMRX3R+yP+xbqf7Ovxc8T+Jp9Qt7vTtRs/JhUJ+93u4kfnPQNkc17D+zD8CX/AGffhXaeE57yHVri2vLu4W9VNrFJZmdFJPOQpVfwqe1+MniS88QXWlr8L/EMX2a4eB7u4eKOB8DIdHzh1bjkfjUTqua5VsOVRyVo7F39pCZ4Pgz4gaJTLPiERRD/AJaN5yYX8a9GtS0lrCXXY7IpK4xg45FeX/HbTbvxb8GbuKUPody09pLIZG8w24W4jLEsuRwoJyK73wj4jtPGHhu11WyWUWNyG8lpeDIgYqH+jAZHsa5/sow6I+EP+ClnjqXxN4q8CfDbSZ0nupJftlzb5OVkkZYrdWx/vufXA9xXI/Fr9k/4q/DH4Mareaz8R4tQ8L6TbBho6SzBWXcAq4PHGcYr3v4vfsTap47+PGm/ErT/ABQjTR61p97Ppt9AAkdvbshKRsvJY7eM8ZNes/tT/CDWvjl8H9R8J6DqlvpF9cTRSGS5QmORUbdsO3kAkCuKVG7nN9T9SwfEVPLaOAwuDqLkTvNuN7Sb8/I82/4Jr6bd2f7NNjeXNxcTDUNQup4opnykEYkKBEHYfKa+rK8f/ZQ+EerfBD4I6H4S1y5ju9Ts3neWSFiU+eZ3G3PbBFewVtTVqcV5HwObVo4nH1q0HdSk3cWiiitTyQooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigBvrXgH7J+mz6ZJ8QRNFDCJtdlnjWKQOQrM5AbBOD3weea9/I614z+zba6MqeObjSL22upP+EguLW9S3cs0NxEfmST/bwwzj2ql8LLXws9ooooqCAooopgFFFFABRRTWwykZ/KgBNwGSeBXyNNb2EP8AwUKe4kuZm1B9IgSNEb5EVoX+VgO52Mef613P7WEc/wAQvgD410PwTr4fxPp8In8mwvQt0BFIrSJhTkEqCK8E/ZS8Zal4i+NXhCTUroPfTaEtvqP9ouv22W4giwGxncFw5+8BmuqjHRyZ00o+65XPv2lpD2pa5TmCiiigAooooAT1r59/bYFw3wr0iO1kMVxJ4hsI0kE3lYZmKqS2DgZIz3r6CrwP9tS4jtfg7DPLZpfxRaxZO9vISA4EnqOla0fjRpT+NHpPw0sb+P4a6PbXyraaibXbMbaYSBGJOWV8YY9+lfllHrEZ1z4hXPiDWH1bUf7Rks1vEA3SRxzMofORyxUAnHQmv1T+GLySfDfw5I0SwSSafDJ5S8hNyA4B/GvyD+GN7aeC/iBJ4j1fRk1WLT9fvX1DR7zBMlrIzo0ZViBvUksM8ZxXTS0nJnTS3lc9J8M32h+E/B7aR4o0fcL62aSzkkt1vEiBlZjtPbAOAecEZwcUeJ9Y0WPwmumeG7QyeJFe3naza2ZTFCEcSeWx4cMZEf1GMdqj8eW3iP4qfEaSx8IafY6joGksLeyuNL/dILMyNINySAfvFDlfwrrpv2fNTmhGo6jMtwf3UbrA/lraYB3OwY/OBnnGMY4rsjeSuU030PLNDS609dTmlsopmjtY7mWKYlt6GTZyqnOA3UYyO9dh4bttaj8H3GpaTqdtayW0LX1xYvB5bRxmTY0aScg8ZwM12N18BvG2j2txpQ8Z6ZJ4T8lyWsrQBsMwYryNxyyg5Bqey/Z3sdP8PPd6v4gvxaSyrbyWvmohuoeqnruRg3GeeucGrvpa4uW254hqEurSRqn9oT3FpLdsFhkkCgnd8i7vQA849aFhmuJNMs9P1C1XURNNAFmLiKBt5YAsByW4HHrzX0hY/st+D7W7s31C08RDTI0M99cNeGSOPfG52fKv8J25ccY78V0WkfspeBdVsljstEkupbqHz0mhEoW4RuFzLnaOo561nd9x6Lc+PPHFr4i0j4X6d9r8vUbLUdWaVJ7UeaYfLt9vlO3qcmvof9hu6vZv2X/jTpNjaNq+sQ3zyW+l7TukEltGI1+hKn8q9kb9mltF+DV1ovhnS9S0TWZ7j7ebi6nSaaFlyohXacEeWMZHXNej/s0/COH4a6bql0+kXOl6jqQhNyLuUSSOyKQSSCRjJrCpUTje5EpLlPAP2AUS1+InjPT9QtI9G1nTUMA02L7qqWBY/gSBX1t8Zdds/D/wj8XapfkfY7fSriSQEZBHlnj3zx+dfPn7Lvhy2sP2jPipfRR3CTTSSmQyyrJFITOctH8oK4PBBPauh/b/ANK8Ua/8BRofhLStS1a7vdSt0uINNgaRhbLuZ9wH8Pyrkd81y4mXvM7cHTjWx9GE3ZNq7+Z8bfsl/tRaN+z/AOD/ABRot7o+paxq2tzLNbw2cSGJFWDblhuyOevFe1/8EqL77RpPxLiDfuzf2kyR5+5uicH/ANBFeo/sY/BHRdI+Aui6jqXhaOw8Vajb3CXj39sVukzLIoUhhlRtA49K8k/YB+G/jr4JfGTxj4e13wzqVpompWx2anLCRA0ltIVUhunzrISPpXl041E4X2R+j5xjsvzCjmEcJHlleLbb+Ll00R+gK96dSClrsPx8KKKKACiiigCK4Z0t5GRd7qpKr6nHSv5o/jN4r1XxZ8X/ABhr+sHGsXWr3U8/cq/mkbf+A7cV/S+W+XPSv5yf2vvCr+Df2nPijphi8tYteu5EGMfJI5dPwIbNbUuppA/oS8B3Qv8AwfoVwrEtPp1vIwPvEpz+orchhCtux9cnndXG/BO8e++EPgeZ4mUtoNi5b1JgTI/Su42r0IyN2azb1Ie58Uf8FdNYhtf2S5bNpFWW81qzREPVtrFzj8BXVf8ABOK6tPCf7Dvgi/1S8hsLFYrq5kubqQRxpH9okJYsTgDAr48/4LIfGaHXvHHhj4bWE8csWiRHUr0RtkrPLlVQ+4TnHbNM/Zk+F/jz9tv4W+F/BJ1efwj8GPCNslrdiDifVLpi7OBg8qpI68c10cv7vU0t7p+pnw5+KnhL4ueHxrng7XrPxBpXmNCbmzfIV1OCpBAIP1FdNPdQ2sMk00ixRRqXd5DtVVHJJJ6Aetfkr/wSt16++E37U/xJ+FN9dySWq293E0SDELXVlOsZlC9i0e7mun/4KrftjeJfDHiKT4P+E7w6RaSafHPrN9EMTTCXlIEPYbeW+tY8j5rIjl1sfoDb/tH/AAruo7p4viH4akFrnzguqQkpjrkbs13en6vZ6rp9tfWdwlzZ3MazQTRnKyowBVlPcEEfnX84/wATP2avHXwh+Hvhrxh4s01dI0/xLJJFY28koa4ZVVXDuoyFBz0Jz7V+sfjz4meIfh7/AMEutJ8ReG7ySw1+18KaVEl5HzJAJDDE7qezBWJB7cVTproW4H26Z0XqwAzjOeM+lVo9asJtRk09L23e/jXe9qsqmVVzjcVzkD3xX5c/D3/gpR4r8Nfsj2dxq1xH4r+Kd/qE2j6MqR7p3RQoW4nQDDMCcADljjPWvEv2edX+JPwI/b+8KWXjLUHfxLr9xbw65HNMZN8V5FvEbnkbl3AjHA46UezfUXI+p+3xYAZJwOtCsG/+uMV45+07+0Ppv7Nnwh1XxnqKfbJICtvZ2cef31y4by0z6Hbz7V+OnhO6/aQ/bO8da3rXhrW9duJIJDcvNHqr2dnaBm+SNG3KNw4xg54qVBsFBs/e/cKWvzG/4JYfG74nap8SvHHw68bX+qa7Y6XEZpLjVbhrmXT7lZREYvMYklSc9DjjNfor468e6J8NfCOqeJfEeoJpmjabC01xcyfwqB0A6knsB1qZRadiXFp2OjozX586p/wWc+Fljql5b23hPxNqNtCxEN1CIFWceoVnDLn3Ffanwf8AilpPxq+G+geNdDEq6XrNsLmGOddsifMVKsPUMpH4UOLW4OLW52dFFJUki0UUUAJ7Vxfxj+Jmn/Bv4X+JfGmrBpLHRbGS7kjQZMhAwqj3Ziq/jXaV8cf8FYvE1x4d/Y71q3t22jWNTsdPl94/MMpH5xCmtxrc/MnxF4++Kn7eHxAur7xJrcVtpuh6fPfTzsphsdMtI+XYKv3pG+6AeWP51B+z/wDsw/Hn4maPc+MPhMl8+kafetFFqEGqpZGSWMhsrG8gJ6g9PavujWPgndaL/wAEmF07wzpxuNZ1LQbXWL2W3iUTzxvMt06kr8zYXjHccV6X/wAEvfid4I1/9mvwx4U0jULODxTo4n/tPSS4W4aQysfO2dWBUryOnfFbtrl0R0OWmh61+xz+0Kf2hvhLDqN/B9h8U6PO2ka9YuQWhvIvlZsg/dbGfzrrf2ivBPin4lfBvxP4c8F66PDfiO/tvKtdRbI2HIJXI5XcMruHTNfK37FsLeH/ANuL9p/QLP5dHF7DeiNfurK7kn8fmNe//tnfGi5+Av7N/i3xbYru1ZIVs7DjIWeZhGjf8Bzu/wCA1ltIyt72h+NfiD9hn9o3UdTW51H4f6zql9dM2+4nuI53YqcFnLPkA9QTjOeK9H/Yj/ba8Zfs1+OtN+HfihnuvBk+pfYrrT70ETabKzhCyMeQoJyV6HFfS3/BOv8Ab61P4oapL8NPiVrhufEl4xOia3MgV7njJt3IGN4ySpPsOTXwz8e760+If7cviEmwbTbG+8Yx2Utug+dQLhYmJ9zgmtNzbumf0GWqqsMYj/1W3K8596mqK1VI7eJYv9WqgL9McVIO9YHKLRRRQAU3cMkZ5pa+Z/HX/BRj4C/DzxVqvh3V/GTLqumTtbXSW1hPMiSKcModUIOD6E0asdmz5I/b61B/D/8AwUb+B+p2hxcAaSM/XUHU/o1fqbtGc1+KH7bn7TvgT4lftcfDfx74W1N9b8O6BDYyTyJbvE+YrsyuoVwpJ2/hX27pP/BSuz+I7eV8LvhF40+IRDeW1zbwrbWyOegaVsgfjW0otpG0otpH2puGM54pN65xnn0r8r/2iv8Agrd4y8L6hrHg/wAPeBLbwv4lsZmtbu61C+W9Ns4HzBVQBSwPfJHFWf8Agm9+258WvjN8b5PBfjLVY/EejXVlPfG5mgSKW1ZOgUr1UkgYNRysz5WfqRS01adUEBRRRQAlBbb1or5n/wCCg3x8l+AX7OOu6jpl0bbxHqpGlaYykh0kk+/Ip/2Eyc/SmldjSu7HSfGT9tv4N/AnUE0/xT4xtk1MvsaxsEa6mi9S6xg7ce/Ndb8G/wBoj4efH6xu7rwJ4lttdS0Ki4jjVo5ItwyNyOAce+MV+Gmj/AOOX9nXU/jl421a/wDsF5qTaXpdlaIHub+8YM3mzSt0jypz3IHHNZH7Mf7QHjr9l/xNeeNvCemfa7CaH7Be/bYHazdSQVVpFAAYH3rXkRt7NW0P6KaK8F/Y+/aq0r9rD4by+I7DTptHv7K5FnqNhKdwil2BgUbupByP8a96rFq25i1YNwx7Udea8n+LX7U/wv8AgZruk6N428WWuhahqSl4I5Y5H2oP4n2Kdg92xXxn4t/4Kaa348/al8GeAfhBFZ6l4VudXt9PvNQnti8moK0iiQxbsFFVd3zEDoTTUWx8rZ+ktFIpzS0iQooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAGsNwIzimeUmSQoBJycAc1LSUARNGDjAA79KjSyhjuGmWJFmYBTIFAYqOgJ64qzRQGogpcUtFAHwpqHx+8PfCn9vTxToUPh3V7nVPEH9m2Jv7aKV7T5gnms4VSdy84I496+5Z4kureWKRQY5FKsrdCCOQaf5MfmeZ5a+Z/f2jP507G3t70276jbuflR8ef+CeHirUv2lLRvhjolv4H8H6pZNBcTafK4jjI3iQPk8iRduR0OcVyFv8A8Ea/iHdNdyS+KdDtkDsIVl8zkdmO0V+wcmFUnnHU45NeLftUftAWnwE+FOoaxDKk/iC6Q2ukWpwfMuGGFcjuiZ3N7DHU1p7ZpbHbhqdXFVI0KMbyloj8afi1+zBrXw2+JVh8LtNvLXxF4tZ4YpJ9NVowZJlAFv1ycDkkjgV9q+F/+CRZuPA2m2eqeP5rPVAv+lfY4RJFG2QQEzjkGrn/AATd+DuseNvH/iD4x+Lo5L8F5I9MvbwfPc3UhzPOPYD5Affiv0fSMIoAGBURrOS5j1s3jSwdZYahq4r3n59T88dL/wCCN/gj+znt9U8Y65PcOVZriBlXzMHJDIRj8jWrY/8ABHP4WWolWTX9clVh8j7lDofX0r77pav2ku58/wC0kfIfh/8A4Jl/CrRZLkTpd6pa3EvnyRXJUHzACAwIHHrivZPFFn8L/gfY+HfE3ii703w9BoUI0rTtV1KQRiBZBt8sN/tDIr1esbxR4Q0Xxlpx07XdHsda0923Nb30Cyx5xwdrAjNHtJS+Ji5nszF8M/GXwF40ihk0HxnoOrrMQIxZ6jDIzE9AAGzmuO+Dvw7ufB/xQ+J2rOYpItb1GK53KrKQdnI5HP4cV1OkfAv4eaDcQz6b4L0OxnhcSRyW9jGjIwOQQQOCDXdBQKnmSuo9QulsOoooqCBK434vfDPTvjF8PNa8IasZF0/U4vKkMbbTjIPB7ciuzpKFoNO2p4pq3g74q+A/7L074a3nhebwpp9lbWMOk69FP5saRIEyssZGSQAea9Z0gamY1OpfZ1n2AMLVmKbsckbucZrSopvULhS0UUhBRRRQAlLRRQAn4UbfbFLRQBheOoHuPBOvxR25upW0+4CQAAmRvLbCjPcmoPhvoY8L/Dvwvoy7iun6Xa2gMgwx8uJVyffiuikjWaN43GVYFSPY0kMSwxpGgwqjAFAC80U6igBPeilooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAGsMgivNGbxf4f+Jh07QvCWh/8Ilfg315qaTNbT/aWwJGdFQq7HA56kCvTKFUKMAYFAHGeFrLxzaeLtc/tvUtLvvC7SFtMWO2ZL1QcHbIwYIVX5h93J9a7SiigAooooAKKKKAEptPpKAOZ0b4c+G/D+s3eq6fo1rbald7vPukT55Nx3MCfc0mn/DLwrpniy48TWvh+wt9euFVZdQSECUhV2gA9uD2rp6WndjuwooopCCiiigAooooATtXhv7X+padpPwvsbvV5IYtLh1i1kufODMCgLHAVQSxJwMAd69zqhq2hafr0McOpWVvfwxyLMkdxGHVXXo2D3FVGXLJMqL5Xc8jj/aK8DfD668OeFNfv7jSby40m2uraWSzkNtJGwAwJFUqpHuRXK6D8C/hd8RPFsmpaJf6P4g0uG9nurywtWGUkmGWBeMgupbna+Rzivoe60PTr7b9osbafauxfNhVsL6DI6e1Lp+i2GkK62FjbWSu25xbxLGGPqdoGa09pbWO5XPbVHJaH8E/BXheQtpPh+2sN0bROIAQHUjndzzV+x+GHhfTFultdIgiW6VknXlhIrDDAgk8EGurpKz5pdyeZ9zFi8H6LHafZRptv9m+XEJQFRtGB+lTSeFtHk2h9Ks5NuMb4EOMdOorUpaV33FdkLWsTRtG0SmNhtKlRtIxjGPTFJbWkNjbxwW8SQwxqFSONQqqB0AHYVPRSEMwM5xk15XYftKeBLjx/4n8IX+p/2HrGgSxx3B1Rfs8MocAq0cjfKw7dc16t+Fc7rHw78Na/JcyalodjfyXAxM1xArlxjGDkelVG32io26njHwN0S4s/j18R9UQtcaNqAjks7pMGFyzMzbGHBGMc19EMoYYIyKwtB8DaJ4XeM6XYJZrGnlxxxs2xF9AucCt+rqTU5XRU5czuRrHtAH6dqdsGc4p1FZGYUUUUAFFFFABRRRQAh+6cV8Y/t5fsC6f+0rpZ8UeE4LXSviLapjzZMJHqUeP9TMR/EOzdvWvs+kwDwRTTs7jTsfjd8Lf2x/2gf2JLVfBvxG8D6lrmhWSLDbRaskiNAi4GIbhVZGTHQEmvRPFH/BZu41zwrc6f4P8AhpdWfiaVPKhuJ70XEULEYDhEj3MQcYHtX6kzW0VzE0U0ayxtwUcbgfwNUbTwzpGnyPJa6VZW0j/eeG3RSfqQK05o9UO5/Nt8XvD/AI7sfEg1z4g2epWuu+IEbVWk1RDHPOrEjzCDyAe3sK/dP9gn4czfC/8AZV8AaXdRLFeT2H9o3G3GN87GQZ9SFKjNek/E/wCAfw/+M1nJb+NPCel6/uQRie6t1M6AHICyfeUZ5wDXZ6TpFpoek2em2UKwWVnClvBCvRI0UKq/gBTnUUlZDcro/KH4C6WfhX/wVq8XWHiETafLq93qracHX5LkXAM0eD6MgJz7Y68V5x8RvFnhXwf/AMFMPFmt/GW0lv8Aw7b6pIUAjMqwoI1+yzbBkuifeIAPQ5Hav2VvPBOg3/iK11650eyuNatUMcF/LArTRqewcjI/+vXDfGb9l/4ZfH6EDxx4RsdauUUpHe/NDcoMY4lQhvpzxVKorj5kflx/wUw/a9+Gv7RHh3whoPgW8vNVOkXkl3JftaNbw7HjCeWocK2eB2xXV+Mv26vhxrn/AATttfhzDPcN44n0S30FtKa2Y+UYiitcGTGzawTcADkelfZfhj/gmf8As++Fft7W3gn7W17bvbOdSvZrrylYEExl2OxsHhhyDg1zi/8ABKD9n6GTzE8P6k/z7yj6rPtPOcfe6dqfPErmR8Pf8Em/gjbfEr4wax4r1S3W5s/CsEZgikG7bdTk7Xx22hC2fau2/aYtbTwr/wAFV/BGs6zN9l0y+m0m7+1THEe8R+UpLHgDeoHtX6C/s4/sp+Ev2X9F1vTvB6T7NXvvtU012Q8qoOEi3d1XJxn1rmv2qv2LPBH7Vmn2B11rrRtc00GGz1ewO6SONmyUZDwyknvyMmlzq+ocyufJP/BZrxZeQ+Gfhn4ciWQ6feXF3qclwh/dvIqokagjg4Dsa9Q/Z7/al/Z++Fn7NNvp+geOdK0/UtJ0Jnn0+4RoLue8ERJyjKDI2/AG3NWNG+DPwc/Zz8OWPwT8eeKZvilqPibVhcadomqWf2mWAlVXIVGJgQEZLll9a8k/bO/4J7/Bz4PfBTxl480V9Y0i+0+GJrKxa78y0eaWZVUBWUsAeeN3btWmmwX6C/8ABHzxDrHijxv8YfEWslriW+W0muL6VQqPctJIWGegOCvFerf8FZvFXhmT9nD/AIR1vFtnb+IRqVvcxaSs4ea7CAgqyLkgYOctgcV4h+zb8APGfxy/4Jzw6D4F1WDw9rN14kuruWR5GhGoQoNnlvIoyPm4GeO9S/BP/gkP4juvFlnqnxe8S201jHIrzabpcjzzXGCPledxgIRwcc4qGle7Y9L3Z+Yyq28dSQedvWv2r/4Ji/tDaPffs66T4b8TeIPDOj32iyNZWFodRijnmth8wd0Zsg7mYevHSvXvGX/BPX4A+PIbZL74f2NpLbosaz6W72jlVHG4xkbvckV5Xq3/AAR9+Bl/NvtbnxRpyZP7qLUkdRn03xk/rUc0bWYuaL3Z9Z6h8YfA2mLbfafGGhxNczpbwr/aERaSRmCqigNkkkgcetderZFfH3wn/wCCW3wd+E/jjTvE0X9r6/c6dIs9pb6xcLJDFKrBlkCqq5IIBGfSvsFePasml0MnboPopKFYN0IP0pCA9/pXxR/wV28N3eu/skS3dtG8kWla5ZXdxtx8sZLxbiO4DSr+eegNfbFYvjTwfpPj7wrqnh3XLKPUNI1KBre5tpfuuhH6HoQexApoa3PDf2CfHVl8Qv2Sfh48U0c81lpUemXULYJVoQY8FfQgDr618Tf8FBf2efhZ8Bbq++IXgPx3J4H8fSzq0fhrSpwfNdnG9l2kNCP4jnjrgHpXX+Jv+CP2uaLrVxL8Nvi5daDpFwzM1leQyq6ZJ+XfFIA4x6gV2nwV/wCCSXhHwj4it/EHxE8SXXxC1CJg32KRGitSwIILksXcex4raLjF3ubJpO9z5I/Zp+LHx+/Zl/tr4sXvw31bxV4W8RvE+q6lqUEnmyqpJDqw+YcdGK4/Ct39tz/god4f/ak+EegeEtC0LU9GdtSS81aG8ZHVVTKoiOp5JJ3dO1fsdbaTa2thHYwwRx2UUYhS3VBsEYGAuOmMV8Wfttf8E3dJ/aDb/hJ/Bc9n4Y8XWtr5K2SW6R2d8QxI8zAG1ucbsH9KXOm7tCU1zXPjL/gop8C/CvwN8TeDPHfw/wBbstDvtRit5DoNjOBdWs0casl3GAdyq2BknHNZ/wDwTR8D+Dviz+0NqPiP4h63BNrWmldS06x1GZQ2oXbuxMpLH5mRtrAA9SK9x/Z0/wCCRer/APCQQ6z8aNTtb2ytxhNB0u6eQzY+6JJzyE9VXtW7+0B/wR70/VdRj1X4Q61FoDtJul0fWJZHgj94pVBdeexoujRyT6n6S2xZSGduGUADsOf/AK4q0K+BP2EP2Wf2gPgh8VLu9+IvilrvwjFpr20Onx61JexSzFl2sqP9wAAmvvoZrORzy0Y6iiipJEr4e+N3/BKD4bfFrxxqXiiw17WfCV3qMpuLm2sRFJbvKzFmcKwyCT719xUjDINNO2w02j8R/iL+zn4M+Ff/AAUQ8A/DDw5p73+gJd6Ub631OTzxcs4DybgRjBXt05r9fb+x0b4S/DfXbjw9otjo9lpdhcXq2mn26woTHEzfdXAJyO9fl1ceJV17/gsZDPOhljj8Qf2fFkdDFabQfwYV+r3jrws3izwV4j0WF1hk1TTbixV3J2q0sbJuOOcAt2rWTtY1lpY/Df8AYg+BK/tfftLahL4nZrnSrfzNe1VGbH2hmmGI35yVZnwR6CvqT9ub4MR/sX+LvBPxz+D9lbeGBaXa6fqOm2S7IJdwLYYE5KuFKke9fM3wo8b/ABT/AOCZ/wAXtTfX/BKSvqNutnNFf7hFdQrIGDwTJlc8ccntkV037WH7cPiX9uDS9D8CeFfBtzp9gt0k8tnG32qe4ueVTkL8qAt3q935GnXyP2f8E+KLfxt4N0LxDajbbatYwX0QPZZI1cD9a264/wCD/h+68K/CfwZo19H5N7p+j2drPGMfJIkKKy8ehBFdfXMcotFFFADJFZtu1tuDk8da/KP/AILX65IfEnwy0dZXEcdneXhh525LpGG9z19xX6vV+fv/AAWA+CMvjT4Q6N480+2knvvDE7R3PkruYWk2AzEeisAfxzWlP4i4bnTal+xTD8Vv2B/A/wAM9P1H+ydTtdPs9YtbuTPltfNEXZZMfwkyFciviXQfjf8AED9jP4aeLvgT8Vvhu174c1S3vobGRx5REkyMplSTBWZOd3XIx2r6V/ZF/wCCm3w50f4M6B4b+JerXmleIdFthaNdrYSTw3MacRkNGGwwXAwcdK8S/wCChX7eXhX9pXwzYeAPh/pV1qFmt6txLq15a7ZXcY2Jbpy4yeDwM+laLmvY2Sknqj3T/gizBDH8JPH8qZE0muRB1znaog+X+ZFfoz1Ug1+L/wDwT8+P2o/sb/Ey58GfErRtR8O6D4taBkmvLR1aCf7sch45QhhkrnAr9nYZBMm4AFWAIYHIII7VnUi07mdRa3PhT9uj/gnLq37UXxGsfGfhrxPZ6RqBtUsLy21RGeExocq8e0Eg88jvXxr/AME/fhSfBX/BQ218La3KLi98LyaoiyIDseWGOSIMPQEEtz6V+25wq1+Nnwh1R/AP/BXDU47668v7V4i1O3eSVwARPFIyAnPfcv8A+uqjsxxbaP2UzTqx7vxdoWnuq3WtafbM33Vmuo0J+mTV+x1K01KETWl1DdRHgSQyB1/MViZFmiiigQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFIWABOcUAFGaZ5ikkbufSlWQN0OaAH0U0n34o3fpQAucUjNwfWk3jrmvI/jl+074H+BNg7a5qK3GrMuYdJs8SXMh9SP4F92wKUmoq7OrDYWvjKqo4eDlJ9Eb3xq+MGi/BXwHqHiTWX3pAhW3s0bEt1MeFiT3JwM9s1+fnw3+G/jL9v74p3HjDxdcNp/hDT38jbGT5SR7s/Zbf3I++/v1zVjR/AfxO/b4+JEPiLWhLoPge1k2xSOGWKCEn5ltgfvyMowXIwD0Nfox4B8B6P8N/C2neHtBs1sdMsYxHHEgA+rH1JOST71h/F1+z+Z99UlQ4Vw7pUpKWMnu1qqa7L+8XPDfhmw8I6LY6RpNpHZabZxrDDbxLhUQDAA9/etb9KdRXQfnMpOUnKTu2FFFFBIUUUUAJj2paKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKTcPWgBaSqWsa5p/h/T5b/AFO9t9PsoRmS4upRGij3YnFZXg34ieGfiJpj6j4Y12w16xjkMTz2E6yqrjqpweDVcsnHnS07gdHRTS4+h+lc/wCNviB4b+G+hz6z4o1qz0PTIQS9zeyhF49M9T9M0oxlOXLFXYHQ5pa8C8K/t4fATxnrKaXpvxK0n7bJJ5Ua3QltlkbOAFaVFU5Poea92gvILqOKWGVJY5FDRyIcq6kZBBHUfStKlGpR/iRa9VYSaexPRRRWQwooooAKKKKACiiigAooooAKSlooASlopjSKqkkhR1JPApAPpM1G00cags6oCcfMcZp+9exoAdRSbhSbgRxTAWisy+8TaRpupWenXmp2lrqF5n7NazTqkk2OuxSct+FadOzW6ATbTqKKQBSUtFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUnPpS0UAJSbTTqKVgG4PSvmn9vD9pm7/Zn+EIvdBt0vPGGuXH9m6TE2CUkYcy7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iiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigD/9k=)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "xpcm1ULMK-at"
      },
      "source": [
        ""
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "jCISDaFfc4tK"
      },
      "source": [
        "from queue import Queue \n",
        "\n",
        "class stack: \n",
        "    def __init__(self): \n",
        "        self.q = []\n",
        "        self.q.append(Queue())\n",
        "        self.q.append(Queue())\n",
        "        self.curr_size = 0\n",
        "\n",
        "    def push(self, x): \n",
        "        self.curr_size = self.curr_size + 1\n",
        "        self.q[1].put(x)                    # Push x first in empty q2\n",
        "        \n",
        "        while (not self.q[0].empty()):      # Push all the remaining\n",
        "            self.q[1].put(self.q[0].queue[0])   # elements in q1 to q2.\n",
        "            self.q[0].get() \n",
        "\n",
        "\n",
        "        self.q[0], self.q[1] = self.q[1], self.q[0]\n",
        "\n",
        "    def pop(self): \n",
        "\n",
        "        # if no elements are there in q1\n",
        "        if (self.q[0].empty()):\n",
        "            return\n",
        "        self.q[0].get()\n",
        "        self.curr_size -= 1\n",
        "\n",
        "    def top(self): \n",
        "        if (self.q[0].empty()): \n",
        "            return -1\n",
        "        return self.q[0].queue[0] \n",
        "\n",
        "    def size(self): \n",
        "        return self.curr_size "
      ],
      "execution_count": 10,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 0
        },
        "id": "nOKqgCM0ed5Q",
        "outputId": "8249c9e2-ee59-4b91-bb45-aeffe0d9fc3a"
      },
      "source": [
        "# Driver Code\n",
        "\n",
        "s = stack() \n",
        "s.push(1)\n",
        "s.push(2)\n",
        "s.push(3)\n",
        "\n",
        "print(\"current size: \", s.size()) \n",
        "\n",
        "print(s.top())\n",
        "s.pop()\n",
        "print(s.top())\n",
        "s.pop()\n",
        "print(s.top())\n",
        "\n",
        "print(\"current size: \", s.size()) "
      ],
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "current size:  3\n",
            "3\n",
            "2\n",
            "1\n",
            "current size:  1\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Itus7iCJ-Hpd"
      },
      "source": [
        "# **Question 2**\n",
        "Demonstrate what happens when we insert the keys $5, 28, 19, 15, 20, 33, 12, 17, 10$ into a hash table with collisions resolved by chaining. Let the table have $9$ slots, and let the hash function be $h(k) = k$ $mod$ $9$.\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "PlSiUO4nVpN1"
      },
      "source": [
        "## **Solution:**\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "CDYw2JJBJBjM"
      },
      "source": [
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)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "gnA0V-zfJMle"
      },
      "source": [
        "***Hashed values:***\n",
        "\n",
        "$5$ $mod$ $9=5$\n",
        "\n",
        "$28$ $mod$ $9=1$\n",
        "\n",
        "$19$ $mod$ $9=1$\n",
        "\n",
        "$15$ $mod$ $9=6$\n",
        "\n",
        "$20$ $mod$ $9=2$\n",
        "\n",
        "$33$ $mod$ $9=6$\n",
        "\n",
        "$12$ $mod$ $9=3$\n",
        "\n",
        "$17$ $mod$ $9=8$\n",
        "\n",
        "$10$ $mod$ $9=1$\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "SwMa6VPq-UD5"
      },
      "source": [
        "# **Question 3**\n",
        "Consider a binary search tree $T$ whose keys are distinct. Show that if the right subtree of a node $X$ in $T$ is empty and $X$ has a successor $Y$ , then $Y$ is the lowest ancestor of $X$ whose left child is also an ancestor of $X$ ."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "J8itWuqBVpq0"
      },
      "source": [
        "## **Solution:**"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "DtfurAs1-N7o"
      },
      "source": [
        "### **Definitions:**\n",
        "**Ancestor:**\n",
        "\n",
        "> An ancestor of $x$ is a node in the tree that comes physically above $x$.\n",
        "* $x$ is considered to be an ancestor of itself.\n",
        "\n",
        "**Successor:**\n",
        "\n",
        "> A successor of $x$ is the smallest node in the tree that is greater than $x$.\n",
        "* Hence, $x$ is not a successor of itself.\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "XioIrisB-TV3"
      },
      "source": [
        "### **Given:**\n",
        "\n",
        "$x$ has *no right branch* $\\Rightarrow$ there is *no number greater than* $x$ which occurs below it.\n",
        "\n",
        "$\\therefore$ ***Succesors of x will occur only above it ($i.e$ Successor will be an ancestor)***.\n",
        "<br> <br>\n",
        "\n",
        "This would also imply that the smallest number $y$ that is just greater than $x$ ($i.e$ $y$ is the successor of $x$) is either the immediate right ancestor of $x$ ($i.e$ $x$ is the immediate left child of $y$) or $x$ is the right child of $z$ , where $z$ is any left child of $y$ ($i.e$ $ y>z<x $, or $y>x>z$)\n",
        "\n",
        "\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "dnr4AKzvE9OB"
      },
      "source": [
        "### **Proving our Claims:**\n",
        "\n",
        "#### ***Claim-1:*** *$x$ has no sucessor below it, hence any of it's successor much occur above it only.*\n",
        "\n",
        "#### ***Proof by contradiction:***\n",
        "\n",
        "Let's say $x$ has a successsor $y$ that is in the same level as $x$. But, $y>x$ and they must have a common parent (Let's say $z$), then $y>z>x$. But then, $y$ will not be the successor of $x$ anymore.\n",
        "\n",
        "Hence Proved our initial Claim is True\n",
        "<br><br>\n",
        "#### ***Claim-2:*** *$x$ lies in the left subtree of $y$*\n",
        "\n",
        "#### ***Proof by contradiction:***\n",
        "\n",
        "Let's say $y$ is the left parent of $z$ ($i.e$ $z$ & $x$ lies in Right subtree of $y$). Hence, $z>y$, and also $x>y$. But then, $y>x$ is being contradicted.\n",
        "\n",
        "Hence Proved our initial Claim is True.\n",
        "<br> <br> <br>\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "za6CueytOOBt"
      },
      "source": [
        "![WhatsApp Image 2020-11-30 at 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)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "d9j3WqygJ3at"
      },
      "source": [
        "### **Conclusion:**\n",
        " > If $y$ is the lowest ancestor whose left child is also an ancestor of $x$ **or** if $y$ is the immediate ancestor of $x$ (consider $x$ to be an ancestor of itself), the above Hypothesis holds true.\n",
        "\n",
        "<br> <br> <br>\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "dgYwmEJk-mSC"
      },
      "source": [
        "# **Question 4**\n",
        "Describe a non-recursive algorithm for enumerating all permutations of the numbers ${1, 2, …,n}$ using an explicit stack.\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "LqaYr_x2Vqh1"
      },
      "source": [
        "## **Solution:**\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "4XqeK6gZNz2s"
      },
      "source": [
        "The given solution is first implemented through function recursion followed by which an external stack is used to enumerate all the permutations:\n",
        "<br><br>\n",
        "\n",
        "**Pseudocode using function recursion:**\n",
        "```\n",
        "FUNCTION permutation(X,Y):\n",
        "    output = []\n",
        "    numbers = [1,2,3,....,n]\n",
        "    stack = []\n",
        "```"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Tf6ABJCKg6_u"
      },
      "source": [
        "class Stack():\n",
        "    def __init__(self):\n",
        "        self._data = []\n",
        "    \n",
        "    def is_empty(self):\n",
        "        return len(self._data) == 0\n",
        "    \n",
        "    def push(self, value):\n",
        "        self._data.append(value)\n",
        "    \n",
        "    def pop(self):\n",
        "        if self.is_empty():\n",
        "            raise Empty('List is empty')\n",
        "        return self._data.pop()"
      ],
      "execution_count": 25,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "a8wsHi3Dh_in"
      },
      "source": [
        "# Function definition starts\n",
        "def find_permutations_stack(n):       # this function finds the list of all possible permutations of the list of numbers from [1,2,3,....,n]  \n",
        "    nums = {x for x in range(1, n+1)} # Create the list of [1,2,3,...,n]\n",
        "    S = Stack()                       # initialize S to be an object if the Stack() class\n",
        "    count = 0                         # Variable for counting the number of permutations\n",
        "\n",
        "    for num in nums:                  # Go through all the elements in the 'nums' list\n",
        "        S.push(([num], nums-set([num]))) # Push the \n",
        "\n",
        "    while not S.is_empty():           # While stack S is not empty\n",
        "        l, remaining = S.pop()\n",
        "\n",
        "        if len(remaining) == 0:\n",
        "            print (l)\n",
        "            count +=1\n",
        "\n",
        "        else:\n",
        "            for n in remaining:\n",
        "                l2 = l.copy()\n",
        "                l2.append(n)\n",
        "                S.push((l2, nums-set(l2)))\n",
        "\n",
        "    print(\"\\nTotal Number of possible permutations =\", end= \" \")\n",
        "    print(count)"
      ],
      "execution_count": 28,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 0
        },
        "id": "_oWLHYxoiDsY",
        "outputId": "efbd3814-87fe-4e36-8655-ab305f3f54d2"
      },
      "source": [
        "n = int(input(\"Enter the number for which you would like to find the permutations: \"))\n",
        "print(\"\\nList of all possible permutations: \")\n",
        "find_permutations_stack(n)"
      ],
      "execution_count": 29,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "Enter the number for which you would like to find the permutations: 4\n",
            "\n",
            "List of all possible permutations: \n",
            "[4, 3, 2, 1]\n",
            "[4, 3, 1, 2]\n",
            "[4, 2, 3, 1]\n",
            "[4, 2, 1, 3]\n",
            "[4, 1, 3, 2]\n",
            "[4, 1, 2, 3]\n",
            "[3, 4, 2, 1]\n",
            "[3, 4, 1, 2]\n",
            "[3, 2, 4, 1]\n",
            "[3, 2, 1, 4]\n",
            "[3, 1, 4, 2]\n",
            "[3, 1, 2, 4]\n",
            "[2, 4, 3, 1]\n",
            "[2, 4, 1, 3]\n",
            "[2, 3, 4, 1]\n",
            "[2, 3, 1, 4]\n",
            "[2, 1, 4, 3]\n",
            "[2, 1, 3, 4]\n",
            "[1, 4, 3, 2]\n",
            "[1, 4, 2, 3]\n",
            "[1, 3, 4, 2]\n",
            "[1, 3, 2, 4]\n",
            "[1, 2, 4, 3]\n",
            "[1, 2, 3, 4]\n",
            "\n",
            "Total Number of possible permutations = 24\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "m6Mk6ZOC-v0m"
      },
      "source": [
        "# **Question 5**\n",
        "Show that any $n$-node binary tree can be converted to any other $n$ -node binary tree using $O(n)$ rotations.\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ACvmFBHXVrJl"
      },
      "source": [
        "## **Solution:**\n",
        "\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "MRtos3oVxrEw"
      },
      "source": [
        "#### ***Definitions:***\n",
        "\n",
        "***LEFT*** = Left skewed Binary tree\n",
        "\n",
        "***RIGHT*** = Right skewed binary tree\n",
        "<br><br>\n",
        "\n",
        "#### ***Claim:*** *LEFT can be changed to RIGHT in $(n-1)$ rotations*\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "BlZP60y8I1Er"
      },
      "source": [
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)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "KoszaTAXIzXG"
      },
      "source": [
        "***Proof:***\n",
        "> By definition, each right rotation will increase the length of the right most path by at least 1. <br>\n",
        "$\\therefore$ starting from the right most path with length $1$ (worst case), we need at most $(n-1)$ rotations to make LEFT into RIGHT\n",
        "\n",
        "> Thus, any arbitrary shape of binary tree with $n$ nodes can be rotated into RIGHT within $(n-1)$ rotations.\n",
        "\n",
        "Let $A$ be node we begin with. \n",
        "\n",
        "Let $B$ be node we end with. \n",
        "\n",
        "(In the worst case, we take $A$ to be the left most node and $B$ to be the rightmost node)\n",
        "\n",
        "\n",
        "From the above claim know that $A$ can be rotated to RIGHT within $(n-1)$ rotations.\n",
        "\n",
        "Similarly, $B$ can be rotated to RIGHT within $(n-1)$ rotations.\n",
        "<br><br>\n",
        "\n",
        "$\\therefore$ To rotate $A$ into $B$, we can rotate $A$ into RIGHT, and do the inverse rotation to rotate from RIGHT into $B$.\n",
        "\n",
        "$\\Rightarrow$ The whole process can be done in $(n-1) + (n-1) = 2(n-1)$ roations in the worst case.\n",
        "\n",
        "$\\Rightarrow$ The time complexity of converting any $n$-node binary tree to any other $n$-node binary tree is $O(n)$ using rotations."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fKmopQ_y42d-"
      },
      "source": [
        "# ***The END!***"
      ]
    }
  ]
}