ipynb_files/094_Binary_Tree_Inorder_Traversal.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-28T14:22:27.021501Z",
     "start_time": "2019-12-28T14:22:27.018528Z"
    }
   },
   "outputs": [],
   "source": [
    "from IPython.display import display, Image"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Question\n",
    "(https://leetcode.com/problems/binary-tree-inorder-traversal/)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-28T14:22:27.043502Z",
     "start_time": "2019-12-28T14:22:27.037534Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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9bZ7TSLDWf3ZwW2Yot6KODdjq5cLj6+7s7v/Yv+vnCdiepAQRY2+5qxl25CaRDuCYTnZruVY4MWaba53UefYj1GHQUm4HHcOwAx/qznphUqd9rZF6yv6k3o772vpttzxPcNb6bNVZzbD+WvUZsp6Up7ThYZsulLpvrWNIjs/wGE0r75hzcKH9nVTummG5suyYc381WGsB27Atteot08tyk87VLJNyZZ2hHLfyc2HM8QQAAACe6qx4wBbKyw76edXz2MIwYKtvK80LAh679bK5JZ/gT3/sHj5z7/nbS8vouLxY4OHv7NM/0y08dv3P+pcQDMvSCtjKtIRx8+t4wofP2OvJdT+xDgHbk5TlljLKZ0zneVLnrkWrw5fOY+lQhjHbXOsk9Emd57lgKxGuJSD51nk/nPvpz6HksCPd6qBnmWkhy1oibbbcLnrYF0/pp5VwbZbbQkOpm2ltrdTrMMioP1OmpUx1/ef/mVafF2Va3d4nkWVby+VYDo/f2GOaskxbruxL2Y8sV7ez4fyw0DpXk2kB2xiWErClbur6Camb1FE9Pf9vtb1Mr4/78PpY1lW3rXJc6rZWyPqG7TDb/Nyp357Y7gEAAICnEhslYJt/2+cT8xKe1W/T3CBge4LHrvtJd98u/69+ej8Kbaf/9ol1/j+6e97/X/bTSriVUWsPHPR3Ty73hPf+6/+1XzbBWKb3YdoCAVu/jgOf/udt7fjf9Ou5b9f/obtvr3/bT98cA7aEDL954v/xg/sd2k8rP7c898dPhjtLfQB86Zy1LJ3q0rlrLROHoy+Gyw87mWO2udYpoVoJh1Lu5Ry5VneyF6qX1G3quCxbd9Y3Bepnsr39owf0/84aroVSh2lvkyh1NylQK/V51XU39P8O1zVsy/k5jjkG9XaGyw/XO2Z9ISFL/bnazCvbLPsxbGexzCvU7WtaO1wNWtfNxZjP5fOLDdhKXdUOw68sN7z2hUyvj+fw/M3/f3n5VX1dl3WW4zbcRqF13CctCwAAADzV2CgB2/yotLzc4Mefm5v4JK2ALWTk2rojt+nu3eG/7ucn/Lpv9/+xe+Ssj693O+jjD97dP5Pt3g/8n57c9of+u+6Rcw7s/vCbb48K2MKf7ri6e+CQ/60fCZft5BlxCfk2x2ewhWFHdzEupoOI2Slvtow5bssZrj0VqUO25QjX8NRhlutmzOcBAAAAbL4sa8CGTYOEChkZlduWxvrNc3+4rA/SxzgyYrB0zoVry0faP7AYlnLdLOZzwlwAAABg80bABqxhEqrlza3CNQAAAAAA1i4CNgAAAAAAAGAGBGwAAAAAAADADAjYAAAAAAAAgBkQsAEAAAAAAAAzIGADAAAAAAAAZkDABgAAAAAAAMyAgA0AAAAAAACYAQEbAAAAAAAAMAMCNgAAAAAAAGAGBGwAAAAAAADADAjYAAAAAAAAgBkQsAEAAAAAAAAzIGADAAAAAAAAZkDABgAAAAAAAMyAgA0AAAAAAACYAQEbAAAAAAAAMAMCNgAAAAAAAGAGBGwAAAAAAADADAjYAAAAAAAAgBkQsAEAAAAAAAAzIGADAAAAAAAAZkDABgAAAAAAAMyAgA0AAAAAAACYAQEbAAAAAAAAMAMCNgAAAAAAAGAGBGwAAAAAAADADCxbwHb33XeTJEmSJEmSm41jEbCRJEmSJEmSDcfiFlEAAAAAAABgBgRsAAAAAAAAwAwI2AAAAAAAAIAZELABAAAAAAAAMyBgAwAAAAAAAGZAwAYAAAAAAADMgIANAAAAAAAAmAEBGwAAAAAAADADAjYAAAAAAABgBgRsAAAAAAAAwAwI2AAAAAAAAIAZELABAAAAAAAAMyBgAwAAAAAAAGZAwAYAAAAAAADMgIANAAAAAAAAmAEBGwAAAAAAADADAjYAAAAAAABgBgRsAAAAAAAAwAwI2AAAAAAAAIAZELABAAAAAAAAMyBgAwAAAAAAAGZAwAYAAAAAAADMgIANAAAAAAAAmAEBGwAAAAAAADADAjYAAAAAAABgBgRsAAAAAAAAwAwI2AAAAAAAAIAZELABAAAAAAAAMyBgAwAAAAAAAGZgTQRsDz38cLfrnvt0b3zX+7o777p7burmS/Z3h112783/x/Djn17SPfv5L+q+8a0z5qYAa4NTvn5a95ytt+1+d821c1M2DjfdfEv34u1f1187xp5Hq8WZZ5/TPX3L53e/ufyKuSlYLe6+557u5a9946Kuv4vl4Uce6Y4+7vPdM7bauvurLZ7VXfKLX83N2ZBc03NtzzV+cybXh1wncr3YHNkY7QoAAABrmxUL2B599NHuvAt+2L1zh526v3nOVt1fPG2L7i//9pl9h/jQoz7T3XjTzXNLCtjGIGDDWmW1ArZcK1771nduEgHbQYcf1b3k1a9/Slzf1jorHYQ89thj3YGHHt7/3jvi2OO7r3/z292ll10+N3dDBGzLR+pwNa5FQcAGAACAFQnYrrnu992r3vi2PlRLoHbApz7dHXLE0d3HPnFQt80rXt1Pz7SnKksJ2DYnss/HHP+Fbq/9D3zKdkQ2tTqYVt7VCtg2FR566KHufR/ardtx9z26Rx59dG7qypEw5+3v37H76c9/MTcFNSsdhNxw403d81/6yu7wzxzXPf7443NTF8emdn0Yg4ANAAAAmzvLHrBd+buru3948Xbdy17zhu5Xl/52gw5Gfs70E0/+6tyUpx758v1UDth0RDa9OphWXgHbdG697fbuRf/8mn4008YgxyN/xNjcR0QtlZU+95YjSNocr5ECNgAAAGzuLGvAdv8DD3Tv+MCO3avf/Pbu9jvumJuKIfnynS/hT9Uv4joim14dTCuvgG06v/j1pd1/eOZzu3PPv2BuysoiYJvOSp97ArY2AjYAAABs7ixrwPaDH17Y/fUznrPojmS+jOZLab6c5kvq5Vde1T3zH18w8RabfEEfPjD8jjvv6g4+/Oj+odLpXGYU3VdP+2b/LLhC2U685957u+O/+KX+2TflVtbzf3TR6Ft6ctvXcSecNH/Lax5k/f6dP9w/eH0h6nLce9/9fTlT3lLulCsPya5JxyHz685JmZZ/f3v5lX24mefc5dk/uR03+zjk+htv7D6898fn6yn/5mHc9faG9ZSRN9m/T376yG7fTx4ysQOTut55j73752Lde+99c1PXJ7cGZ7tDy37V+3Tpby/rbzXe8oUv7a697vf9/JB92G2vfeef7Zdj9/0LftT96U9/mlvizyxm2YWYVC95vlYhdXD6Gd/pt5PtlWOR9llYqA7y76Q6bs0r0666+pq+DW/1opd1r3z9W/pjsJQ2MmRsebP9H/344u41b3lnv41W2yqMqadplNsuY/5fyH5m27k9MudiOfbxqM9+rlmWPA9y7/0/OX9OTGojZT9TjzlHs3xGpmWEWiHryvO3nrvNS/p1pX2k/eY6k9G9NcNrVrZ75ne/t952x2yzUAKMrKu2XFdLAJDjmeO+x8cP6OsqzwgLufbl9tL37rRrX1/5bK5Hp57+7f65YiHX+Hzmm2ee1f9ck89n34flG3NtXqhs2f53z/1+t93r3tRPT72+4R3vXe88KG2qLBOzTK4jNYsNQlr1kuOb30/33X//3FJ/Xm+p92Kp/0nkGGe5tN2w0PmW8lx8yc+7t7znA309ZD+zzxdd/NN+/iSW+vuv9bsu204ZWsvnOOT4luWzjWwrxyHts+xHzdjr9C233rbeuZrj8NkvnNj94Q9/6OenDrON1rWzsNjvF63jPzwvQqtd1e16yLR5y1UfAAAA2LgsW8CWL5p5Xsy0cGUS5Yt/6YiUn1vrevDBh7p3ffBDvfl/yGi5jJp7wXbbdyedcmof8OVLZzoCefZb+RJc1pvP7nPgwd0Ou36kO+t75/WfSSiRL7M//9Wv+2UXIl+K86U260/HJLe85ot9yrzQg8zrciRUSIh02hMdw5QlZUqH6UMf2Wv+S3ooQUndOSnT0nnZ/k1v6ztB2fd8NuvY/WMfb3Zi41dO/UZf7gRmWfawo4/doJ4SGCZEyjZi9jlvw8tonFYn6fc33Nh3PL74lVPmpmxIQoaECFkuQUzK+8OLftI/tyiUffra6d/qtv3n1/b/rztM5RbkYZ0l2D3lG6ev12FazLJjmFYvIfWX9pB2lGmp3xyTtK16VOdCdZC6ndRJbM0r01Jn6TimTOVcWmwbaTG2vMd+4Yt9pzrnU+o6nfBsu25bYWw9TaPcdlmHmyFlSaCV8zHnV54H+dgTndKUJ/s7DIYSCP7d87bpPv1EGTMCNx3YLJsO9rCN5JjnGrP7Pvv1y2TZPFMty8Rzvn9+HyZkuXLdSpvJSxhK4FlIOJHOcNlu6uTLX/t63zYTYhWmbXPIA+vWPXG8f9btd9Chfb2nTnOcEjbmGJfzP9e+vQ84qF8mps5C2lSOY0Kpb33n7P44f3C3j/b1ljAh3HX3PX2YkyB92G5uu/2O/kUOuaaU4z322jytbFkmbSifyWezjly/snzadyHL1svknE8bSbu9+trr5pZqByGTyLZT7tRBuY7U+1C319RH6jrlSPvJcajrfxJZPvta9mWh8y3HIu2k/P7KscoxK8dxEuX6tZjffzfdcmvfdutztdR96mR4juR38i57fqyfl2tMfaz+5W3vevK8GpRz7HU6xzDLZV1ZZzkOebbhQsexptTD2O8XY86L0GpXZVr5HVEzad7Grg8AAAAsH8sWsOUv+a9/+3v6v7ou9q+n5QtvvijmS2dIRzhBTgKdmvLX59JRTsclIUFGsqSDWciX0JNPPa1fR27RCmU76czUnbuQv1BnvXXncBr5oj0cbZMvuPnSfebZ58xNaVOX4xOfOny9zlc60AlDsp66o12CkrpzUqblS3a+lBdS/nRSsz+pr0I6E+m41dsry+ah3KUDV8qXznIelp6QonypzzrSMak7EYWUbRj+tJjWwS37lHDm8yd9Zb0RR9l2OjnDOss+ZORMvQ+LWXYs0+olnPHEcU+4k9FGNTk2qZeEJYVpdTCtHlvzMi3BTo5Ljm/dfhfbRiaxUHmzjWE4Vm4ZH45oWkw9TaLcdlmfazkWCTVy7uRaVJcloXeOW92ZLR3U4bUg/891IMsnNAq5puXalv3MdaU+7iHBRCuUK9fF+gUHk7Z7x5139iNVShkX2uYkyvEogU2hHMM8HzPXzLJvheuuv6E7/8KL1hslU45h9iH7kjJk5E/Kn0C9JterBDHlmr2Ya/O0spUwNce2roOsvx69mPDn2t9fP/fTk5Tr+thzb0iOa/ZpeKxCQtLW74wSyOQ4jKF1vCaVcd26B/trz3DkZo5ZjtU0yvUr2xruT+v3Xzl+w2tHyHU5I6GH14+c260/YCSsyjmQbdf1spjr9PEnPjnibliW1Mnw2CzE2O8XYcx5EVrHrEwbG7CtVn0AAABgeVi2gG3MF8l8uS7m50wP5Yt/Pa2MhhrexpHRUXXnLl+I8yVz2JkM+SKaL6QZGRLKdoYd/jCp47IYxnasSjlandTQ6lCWoKRed5mWL9pDEvZlXkboLETWWYc2pXytDkjIMRiGPOUv/62RLUNKe6g7IoWyT631pAOfYKbebqEELmV/F7PsWKbVS9n/dILq9hpKUFK3rWl1MDweNa15mZY6a93ytFxtZKHyZj3D0WEh517dCVxsPU0itw7mOJSAJuQz+WzqZ9jpLNeCcn1KBzRhQkZJ3nzrrf20muxTfZtYOr4ZyTN21EshtzanHZaAp2y3Du8KCYiyT6Uep21zGuV4DK+J5RhOuu5MInVWX5vT9utyhrJfdVkXc22eVrZyPfzovgcsOjgo661/L01ryzXTjlUo84e/T3Jupg3mOIyhdbwmlbH8nnrre3dY7/bUMZTr19jffyVsmjQiucwv15Zp50Eo7aaul8Vcp7OdnJN5SdKsjP1+MY3hedE6Zq32V2jNW636AAAAwPKw7AFbbhMddoLy5T2jsvJX83Sst375q9b7Ylq++NfTso7hLaelE5BOTdlGRrCkczLN8gW2bKfVgW+VYRr5Up5nPOUv9bnN8xWvf3M/0qHe3iTKtrIv2achZX7M/0MJSurOSZnWCkhay4fUW76Q5zktGVGQW7cy4ifLlg7eQnVROlb1uktnOh2EhShtpd6/wqRyh4QUmTfN8rnFLDuWafVSAoPWdor156bVQcq1lICtHL+apbSRFguVtzWSIgzLtth6apFzL+HzMCgoQUx9fSiUzmnZ17Js63oVslzOi9zeF0poUsKEmrLuVsCYz2c9CTND2W4JGFOX6cynveaW89xeV8KJaducxrDOC9OOYSEjk/K5lCdByfNe8op+XXWbK9fhOgQv+1WHMYu5Nk8rW45PfnekHnPb4WVXXLneaKKajALMdrPe3F5Znk1Vr3dMPYQxo7JbQW85bqWtLUTreE0qY9pMfuekLjLKN59ptd8WWU/WN/b3X+pxuG81JQAu9VPO7RImD2nVy2Ku07m+JPzK7aypg4VG7E0jdTbm+0VhzHnROmZlWus7QWveatUHAAAAlodlC9hy+1MCm0mhUaH1Rb41LSSsqW85ymiSBDt1iJMvm+W5LnlOTcvS8S/bqb8AFyaVoUU6wHnWSb7s5jlKH9ln/z6wymiMlGVswNYqR2jNz5f7+st1KNPqjlmhtXxuacwtWOmc5TlKKWe+mCesqNezUPnSqU7nuh6pkBBg0kiPIaVj0Vr/tH1KedOhyG2QreMc08lb7LJjmVYvpfOYumxtK9bPYppWBzlmdcetpjVv2vLT6rPMq9vIJGYpb739xdZTi9IRHgYFJegqYVZNgpA6MCvLlofoD0l7rvcpAeWksGE4Sq8m66nnlcAtdRITACUIOvKzn+uXqYOjaducxrDOC+UYTro+5ZbH7HOeLZbb1A769JH9rfB55uDw+A5H+qTOc21O0F5IOcZemxcqW9pDHpyfusy+ZdnUTxl9lEDkM58/oa/b1Gl+FyWsyEsPUs663U5ryzULlSm0zq/SxrPfY2gdr2llTBvJA+/zx5F8LgFLwt2FgrasJ+trrbPMyzaz7ZByDY97zXB9C+13a/5ir9N5+P+7/3Xn/jinnSaoHvOilhZjvl+EsedF65hNa0OteatZHwAAAJidZQvYQjqT6RAOb5+raX2Rb00LCWsS2pTbONJhGt4uNew4T2PYIaiZVIYW6cxkP9PJKR28UDoQ0zpkYVo5Quu5TaUjV3dOWp27wnD5EoplxMHwlrgsU69nofKFjG4oHeoSeLRuUWxROhat9U/bpzzQPrfP1G8UncRilh3LtHoptwIOH7o/iWl1kONRd9xqWvOmLT+tPsu80kamMUt56+0vtp5alJEyw/Ms14JW0JU2mUAvnymd02n1Um5VrZ+vlGvbcMRcIeXIdWr4cpNyy1zOuXLNmrbdIdO2OY1hnRfKMWxdn1K+XFsTWtbPSwtZfnh8yyjWXAtLfQ1v617MtXla2Wqy/rxMIstm3XnmVyi3H+aB/XVI2Wq309pyzXCEVotcBxMi1m+0Tj2lvsacV6F1vMaUMfuZ8Ke8TCRvyZ12/c16sr7WOsu8bDPbDjl+0wLe8nuqjAIt+51226JVL0u9Tudtvfsfcth86FV/JxjLmO8XizkvprW1VrtuzVvN+gAAAMDsLGvAltEMuf0zwVDrGSyh9UW+NS3kS2/+IpsvuFl3vswPv7yXkSiTvtTXlO3UX4ALk8rQIl+IW8uVsizUSSzbmtR5Lp3Xep9Kx7zunEzrrA+Xb32ZL5TbUsp6ptVToXROMpIl+52ORt3JnEbpuLbWP22fyi1nrRFKQxaz7Fim1UvpbC40grMwrQ5S9lYwUc6HulMXcoyH0wrT6rPMq9vUJKaVd9r2M6/e/mLrqUUZBVaPPishWh1mFcqz2eptln1v3Tqba01GkZSOdwmQJpV50vWghD51QFPKnmM8jYW2OY3US+uYT7sGtMKPUMoxPL7lXEiolukJL4fn2mKuzdPK1iLXnxzr8keISW2whLF1uy3barXlmrLvk0bmJlRqPaNtUl1OYniOhGnn25D8rs1oqlbbrynHrLXOMq9ux+X4LfQMtjK/lHkYtBYSxg6vN7Ncp3Nu5mUZY0PcIWO+XyzmvGi1q9Yfywpl3XWbX836AAAAwOwsa8CWL3jl+TD5Qjl8y2Yond36i3zry30hndTc8pPbf/KX3foWpJAv9fmLbTrEw5Er+ZL/3XO/P//FdrEdjEnkC3G2V26PCunkZJ/z5XihTmLZVpY95vgvrHdrT1nPsLPYCkPKtGFHOgyXL1/+h52f1Fn2pV7PtHoqlM5lRujsf/Ch690uuhBl/a3wYNo+lQB3+LbKkNEFZz9xrAuLWXYs0+olbT8jSNL2cw7k50L+n3ac23kK0+ogQWVGxaTzV7eNHKu0i2HbyDEeTitMq88yb9h5bDGtvNO2n3n19hdbTy1aI6NSppStDrMK5flgCeDK9krwMhx1mfpOvdcvPyjBQf35muOf6JQP97+EHtn3BNiFst28wbU+tiHrLqOvFtrmNMpxHXbSyzVgWsA2rI8EkLmNrnV8E5hkXz59zGebIdRirs3TypbnXw3DieHxTjtLGJT2U0j9HnLE0X1d1Ods2VbrPB5SbtPNeobHq7xFdDhyrNTlmPMqDM+RMOl8SxmG51+mZRRZgpwy4rJFWWdrv8u8+vdfmdY6fuUtornGlt+DqYO0n7SXYXCda3CuxdnPul4Wc53Ovg3PhbTxHJ+EgUthoe8XizkvWu2qHJssV9dhpuc6k/qo2/xq1wcAAABmY1kDtpAOYjrOuVUhpoOQzknMywBKmJMvkOmAhdaX+0L5C3C+NE76y3i+7OZLcsx28ja+4044qX9GTf1lt2ynnlaYVoYh6Qjly3WWPe2M7/TPY0lH8m3v+2B/i9rYgC3PXsrndtj1I91Z3zuvX9er3vi2ZvjQCkPKtLpjVhguny/0hx19bL/uPCg8X8RTR9u84tXde3bcZb31TKunmtI5ielsj6V0xFKWTx52RP+8mRIGTNunfO7U07/dt6s8dyjlz7E+9KjPbFDvi1m23La40D4sVC/pEOV4Zr/KMU3byC1cWX8dUEyrg6w7x6g+VglpEmKkUzsMO3KMh9MK0+qzzKvb1CSmlXfa9jNvuP3F1FOLErDVnfgSXNVhVqGMxKlHvJXzIQFJ1pPrVq5HaRd5rmLCk0I6xmkzk+op5c3+5/auXJ+yno9/8lPdJz51+PwzyAqpx8+f9JX++pHpWT5l+e3lV/Yd8XKb6ULbnEY66bnO5nmLOU4ZYZQylQCgdX0qbS7nS241y7HNtTQvb8kIn9bxLXWeuh0GEIWx1+ZpZct2Ezrk90fKlfaS8LIOcq6+9rp+n3Ou5zbRLJO29cZ3va+f3trWQte3UF83c23ONTplSFmy/fwxZPiHhdIexh67LDc8Ryadbyl7gteddt+z38dM2+PjB3R//YznbPA7Y0j2ddL1q8wb/v676upr+rrPvubY5Ph95dRv9HVR13+hBGlpR3lOacqX451jkM8P6yXlHXudzv+z3Ww/zyI79gtf7NfXOgZjWej7Repl7HkxqV3luKau6raZa122l/Og3sflro9s+++et03fltKWAQAAsLIse8BWyDNB8qUwAU46DzEd13ypvOCiH/d/AS9M+nJfOP7EL/WfnxaAZNTLB+Y6XWVbBx9+9Hqj6Mp2FtPBaJEvwfnS++LtX9dvK52HfCnOX7/zBbf+EtyiLsdNt9w631lLZyqhWzotw45SKwwp0+qOWaG1fOr86OM+33d2s62EHJf+9rINOnjT6qmmdE7SyU5nezHkQcwZxZOORPb9nPN+0E+ftk8h9ZK3oKaDks9m2bSxdESGb8Ybu2w6TTmGZSTGJMbUS9abES1pf9le9u29O+3aXXrZ5Rsc00l1EDKvbhf1sao7daE1rTCtPsu8uo1MY1J5p21/2LYKi6mnIQmhErCkXsrIyXLrZY7lkNx21RrVkc50HpyfY58y5LwYXjNC1pl1T7rtKuX9yc9+Pv/Q+Vw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s7/Uj1w449Ij+9tfWcrOabdR11VLARpIkSZLkyjoWAdsT04YBz6nfPKOfXl44MClgy7PSMsoo04dB1k8u+UV/m+qYAGRzvEW0tZ6xAdtvr/xd/4KEaQFatjFtfrFsoz5uS/XBhx/pbwfNW2mXe+Ta0IyQq+uqpYCNJEmSJMmVdSwCtiemvfODH+ruvPvePkDJiLW8HCHTd91rn36EUkYtfewTh/TT8qD+vAjh8t9d0233ujf30+IwyKrL+bmTTp4axmxKLznIfhx8xNF9eJhQsLVfYwO2Elxm2Qsv/llf/z/9+a+6l7z69f1yGzNgu/TyK/uw9EWv+pf+/8P52c/jT/xy99fPeE6//2PCtTF1NTS3iF508SV9HWy7/eu662+6pblcFLCRJEmSJLmyjmWTCNhKSJLQpWUdtCwlYGuZgOOKq6+d//x3v39+f8tovUxuEyzlGgZZd91zX/f2D+y43vKx3n6xDtjKqLl6/lIsdTYtYFuoXlvhTd4GWoLFSWHg2IAtJrSqtxnz2a1f/qr16mqhstaj4MqxnmSrTk7++unz83Pr53B+9iXlqtdTu9S6KnUy1EsOSJIkSZJcfcciYHtiWkYllfDsBdtt3x3x2c91t9951/xnY0YffeXU0/s3i2bZ7d/0jn60WwlIWqFNRh99+GP79WFJlhluv5h1r8YtogvV66Tw5jvnntfXwaT5iwnY7rn/ge7Tx3y2Dytz6+V7dtq1u+ra6/p6qOtqobLOGrDdftfd3Vvf98F+fmu0W/Yl+zRcV3GpdVXqpJj2d8iRx6z3VttJ5rOT1kuSJEmSJGd3LJvcLaLLaQnYhs8A2xwcE7AtxdzCeM4PLuhfAvHqN7+jH6XVWm5TMrcA33zr7d2/fniPvj3kGXyt5RbrSteVgI0kSZIkyZV1LAI2AdtoS33FjDhb6BbGTcHhyLQddvtIf3tva9nFuDHqSsBGkiRJkuTKOhYB29M274CthDwx+9tadqz5fG533WXPffrbOFvLbGomnMrz0V72L2/svnb6t/uXWrSWW6wrVVd1cBcFbCRJkiRJrpxjEbA9TcDGTUcBG0mSJEmSG8+xPKUDNpIkSZIkSXKSYxGwkSRJkiRJkg3HImAjSZIkSZIkG45FwEaSJEmSJEk2HIuAjSRJkiRJkmw4FgEbSZIkSZIk2XAsAjaSJEmSJEmy4VgEbCRJkiRJkmTDsQjYSJIkSZIkyYZjEbCRJEmSJEmSDcciYCNJkiRJkiQbjkXARpIkSZIkSTYci4CNJEmSJEmSbDgWARtJkiRJkiTZcCwCtkV6/U23dPsdfFj3V1s8q9v3oEOby5AkSZIkSXLTdywCtpFefd313e4f268P1v7iaVv0CthIkiRJkiQ3X8ciYBvh/ese7Hbe42N9qPamd72/O+O753bP/qcXCdhIkiRJkiQ3Y8ciYBvpmd87rzvpq1/v7ntgXfebK64SsJEkSZIkSW7mjkXAtgQFbCRJkiRJkpu/YxGwLUEBG0mSJEmS5ObvWARsS1DARpIkSZIkufk7FgHbEhSwkSRJkiRJbv6ORcC2BAVsJEmSJEmSm79jEbAtQQEbSZIkSZLk5u9YBGxLUMBGkiRJkiS5+TsWAdtITzrl1O4vnrbFRIVtJEmSJEmSm5djEbCNVMBGkiRJkiT51HIsAjaSJEmSJEmy4VgEbCRJkiRJkmTDsQjYSJIkSZIkyYZjEbCRJEmSJEmSDcciYCNJkiRJkiQbjkXARpIkSZIkSTYci4CNJEmSJEmSbDgWARtJkiRJkiTZcCwCNpIkSZIkSbLhWARsJEmSJEmSZMOxCNhIkiRJkiTJhmMRsJEkSZIkSZINxyJgI0mSJEmSJBuORcBGkiRJkiRJNhyLgI0kSZIkSZJsOBYBG0mSJEmSJNlwLAI2kiRJkiRJsuFYBGzL7LqHHu72OuCg7u0f2LG76577msuQJEmSJEly7TsWAdsKeNHFl3RP33Lr/t/WfJIkSZIkSa59xyJgWwEzci0j2DKSLSPaWsuQJEmSJElybTsWAdsKeeo3z+i22vbl3ZXXXNecT5IkSZIkybXtWARsK+T1N93Sbbv967rjT/xycz5JkiRJkiTXtmMRsK2QDz3yaPepoz7TvfrN7+huu/3O5jIkSZIkSZJcu45FwLaC/vI3l3XPet4Lu+9+//zmfJIkSZIkSa5dxyJgW0Hve2Bdt+NH9uzN/1vLkCRJkiRJcm06FgHbCpvRaxnFltFsrfkkSZIkSZJcm45FwLbC5vlreQ5bnseW57K1liFJkiRJkuTacywCto1g3iSaN4rmzaKt+SRJkiRJklx7jkXAthG88prruq22fXl36jfPaM4nSZIkSZLk2nMsAraN4LqHHu72OuCg7u0f2LG76577msuQJEmSJElybTkWAdtG8qKLL+mevuXW/b+t+SRJkiRJklxbjkXAtpHMyLWMYMtItoxoay1DkiRJkiTJteNYBGwb0TyDLc9iyzPZWvNJkiRJkiS5dhyLgI0kSZIkSZJsOBYBG0mSJEmSJNlwLAI2kiRJkiRJsuFYBGwkSZIkSZJkw7EI2EiSJEmSJMmGYxGwkSRJkiRJkg3HImAjSZIkSZIkG45FwEaSJEmSJEk2HIuAjSRJkiRJkmw4FgEbSZIkSZIk2XAsAjaSJEmSJEmy4VgEbCRJkiRJkmTDsQjYSJIkSZIkyYZjEbCRJEmSJEmSDcciYCNJkiRJkiQbjkXARpIkSZIkSTYci4Btlb3xllu7Txx6ZPf0Lbfu/uJpW3QvetW/dKd+84xu3UMPN5cnSZIkSZLkxnEsArZV9NeXXdFtte3L+2Bt6KeP+Wz30COPNj9HkiRJkiTJlXcsArZV9Iabb+522XOf7gcXXtSPWHvw4Ue6s8/7Qfcfn7NVt+32r+uuv+mW5udIkiRJkiS58o5FwLbGTND20X0P6J79Ty/qfnPFVc1lSJIkSZIkufKORcC2xiwB2/Ne8orud9f+vrkMSZIkSZIkV96xCNjWmNfecGP3wle+ptt1r326+x5Y11yGJEmSJEmSK+9YBGxryIxe2+/gw/oXH+QFCK1lSJIkSZIkuXEci4BtjZhw7eAjju62+Pvnd+f98MLmMiRJkiRJktx4jkXAtga85/4Hun0OPKR/e+g5P7ige+iRR5vLkSRJkiRJcuM5FgHbKnvH3fd0O+6+Zx+uGblGkiRJkiS5dhyLgG0VvfX2O7r37LRr9/QttxaukSRJkiRJrjHHImBbRU865dTuL562xUTf96Hdurvvu7/5WZIkSZIkSa6sYxGwraICNpIkSZIkybXrWARsJEmSJEmSZMOxCNhIkiRJkiTJhmMRsJEkSZIkSZINxyJgI0mSJEmSJBuORcBGkiRJkiRJNhyLgI0kSZIkSZJsOBYBG0mSJEmSJNlwLAI2kiRJkiRJsuFYBGwkSZIkSZJkw7EI2EiSJEmSJMmGYxGwkSRJkiRJkg3HImAjSZIkSZIkG45FwEaSJEmSJEk2HIuAjSRJkiRJkmw4FgEbSZIkSZIk2XAsAjaSJEmSJEmy4VgEbCRJkiRJkmTDsQjYNpJ33XNf9/YP7NjtdcBB3bqHHm4uQ5IkSZIkybXjWARsG8mLLr6ke/qWW/f/tuaTJEmSJElybTkWAdtGMCPWMnItI9gykq21DEmSJEmSJNeWYxGwbQSvvOa6bqttX96d+s0zmvNJkiRJkiS59hyLgG0jePyJX+623f513fU33dKcT5IkSZIkybXnWARsK+xtt9/ZvfrN7+g+ddRnuoceebS5DEmSJEmSJNeeYxGwrbDf/f753bOe98Lul7+5rDmfJEmSJEmSa9OxCNhW0PseWNft+JE9e/P/1jIkSZIkSZJcm45FwLaCZtRaRq9lFFtrPkmSJEmSJNeuYxGwrZB53lqeu5bnr+U5bK1lSJIkSZIkuXYdi4BthcwbQ/Pm0LxBtDWfJEmSJEmSa9uxCNhWyFO/eUa31bYv76685rrmfJIkSZIkSa5txyJgWwHvuue+7u0f2LHb64CDunUPPdxchiRJkiRJkmvbsQjYVsCLLr6ke/qWW/f/tuaTJEmSJEly7TsWAdsymxFrGbmWEWwZydZahiRJkiRJkmvfsQjYltk8cy3PXssz2FrzSZIkSZIkuWk4FgEbSZIkSZIk2XAsAjaSJEmSJEmy4VgEbCRJkiRJkmTDsQjYSJIkSZIkyYZjEbCRJEmSJEmSDcciYCNJkiRJkiQbjkXARpIkSZIkSTYci4CNJEmSJEmSbDgWARtJkiRJkiTZcCwCNpIkSZIkSbLhWARsJEmSJEmSZMOxCNhIkiRJkiTJhmMRsJEkSZIkSZINxyJgI0mSJEmSJBuORcBGkiRJkiRJNhyLgI0kSZIkSZJsOBYB20gffPiR7pzzL+i2f9M7ur/822d2f7XFs7rXve09/bTMa32GJEmSJEmSm65jEbCN9DdXXNU9+59e1P3F07ZYz4Rtp51xVvMzJEmSJEmS3HQdi4BtpJdfdXV3zOdO6K6/6ZbuoUce7dY99HB37gU/6v7TP2zd7bDbR7p7H1jX/BxJkiRJkiQ3TcciYJvBu++9r3v3jrt0O+/xse7+dQ82lyFJkiRJkuSm6VgEbEv0rnvu6048+dT+ttHzfnhhcxmSJEmSJEluuo5FwLYIb7nt9u6lr3nD/PPX/vHF23U/+slP+1tGW8uTJEmSJEly03UsArZFOAzY4tO33NoINpIkSZIkyc3QsQjYlmieuXbGOef1t4j+08v+ubvymuuay5EkSZIkSXLTdCwCthn99tnf60eynX/hT5rzSZIkSZIkuWk6FgHbjOb2UAEbSZIkSZLk5udYBGxLNLeIXnTxJd1LXv36btvtX9ddf9MtzeVIkiRJkiS5aToWAdtITzrl1PVeblD0kgOSJEmSJMnN07EI2EY6DNhesN323SFHHtPdeMutzeVJkiRJkiS5aTsWARtJkiRJkiTZcCwCNpIkSZIkSbLhWARsJEmSJEmSZMOxCNhIkiRJkiTJhmMRsJEkSZIkSZINxyJgI0mSJEmSJBuORcBGkiRJkiRJNhyLgI0kSZIkSZJsOBYBG0mSJEmSJNlwLAI2kiRJkiRJsuFYBGwkSZIkSZJkw7EI2EiSJEmSJMmGYxGwkSRJkiRJkg3HImAjSZIkSZIkG45FwEaSJEmSJEk2HIuAjSRJkiRJkmw4FgEbSZIkSZIk2XAsAjaSJEmSJEmy4VgEbCRJkiRJkmTDsQjYSJIkSZIkyYZjEbCRJEmSJEmSDcciYCNJkiRJkiQbjkXARpIkSZIkSTYci4CNJEmSJEmSbDgWARtJkiRJkiTZcCwCNpIkSZIkSbLhWARsJEmSJEmSZMOxCNhIkiRJkiTJhmMRsJEkSZIkSZINxyJgI0mSJEmSJBuORcBGkiRJkiRJNhyLgI0kSZIkSZJsOBYBG0mSJEmSJNlwLAI2kiRJkiRJsuFYBGwkSZIkSZJkw7EI2EiSJEmSJMmGYxGwkSRJkiRJkg3HImAjSZIkSZIkG45FwEaSJEmSJEk2HIuAjSRJkiRJkmw4FgEbSZIkSZIk2XAsAjaSJEmSJEmy4VgEbCRJkiRJkmTDsQjYSJIkSZIkyYZjEbCRJEmSJEmSDcciYCNJkiRJkiQbjkXARpIkSZIkSTYci4CNJEmSJEmSbDgWARu731xxVffsf3pR9xdP22Lek045tbns5ui+Bx263r6nLlInrWVJkiRJkuRTx7FsMgHbQ4882l3yq0u7d+ywU/dXWzyrD0Je9Kp/6b52+re7+x5Y1/zMGNc99HB3zg8u6HbY7SPdwUcc3VxmJV3t7cfFBGy333V3d9Txn++evuXW3fs+tFt39333N5cb69333tcd87kTuq22fXm/3ax3lz336a669rrm8mO98ZZbu08cemS/vtJWTv3mGX19D5cVsJEkSZIkyZZj2SQCtoRrJ331691f/u0z1wtCijt9dK/urnvua352IRMQJSjKehK0tJZZSVd7+7EEbOdf+JPm/HjLbbd3hxx5TPcfn7PVfL0vR8CWIK+sr/afXvbP3ZXXLC1k+/VlV8wHdkM/fcxn+/bU+lxMeQRsJEmSJEkyjmWTCNh+/LOf98FOArZjTzipu+f+B/qRSCd85av9tHjaGWc1P7uQArZxAduhRx/bl/Elr359951zz+u23f51yxKwnX7m2d23zjpnPiDNv2VbJ3/99A2WH+MNN9/cj4L7wYUX9e3kwYcf6c4+7wd9G0q5r7/plubnooCNJEmSJEkWx7LmA7YEJHsdcFAfuLz9AzuuN1Itt4bu+JE9+3kl7ElIlJ+HIUmZ/tLXvKEfjTVp5FRtuU2yDsHO++GF3VdOPX1+hFRuPcwtnmVUVAmrMq8OrMr0Uq7FbL82+5/w6Jn/+ILu9CWGikNL2aYFbD/7xa+6I449vr+lM/WXelyOgK1lRqA963kvXLb9i2lHH933gA3axVABG0mSJEmSLI5lzQdst995V/cvb313HzhlZNNwfkaxZV5GJt10620rHrA97yWv2GC5jIwq4VQJqzJ9JQK2H/3kp/O3yqZeUj/DZRZrKdu0gK12pQK2hJTX3nBjt+ve+3avetPb+pForeWWYgnYcvx+d+3vm8tEARtJkiRJkiyOZc0HbL+/8eZum1e+emLglNsVM6+EImMDtjK9Ds8m3aJZLxM/9olD+pFcCYMSBGVaRtJlRF0JqzJtWsDWWveYW0TrgG271725u+32O5vLLcZSttUK2MqxKb5np12XNVyLOVYvfOVrul332mfqSzEEbCRJkiRJsjiWNR+w1YFVK2AbBmrDn4fLzRqw7bj7nv0z4Mq8lCnTywi6urx1YFWmD8u12IBttW4RrV3pgC2+7m3vWbaQLaPX9jv4sP623tx+2lqmKGAjSZIkSZLFsaz5gC2385XbMtfCCLbhMsPtlbAq0+rAqkwflmuxAdtKWMpWl3eayx2w1WZE3iFHHN2P0ltotNkYE64d/MT6tvj75/fPz2stUytgI0mSJEmSxbGs+YAtgUtuhUwANe0ZbCU429gBWwn4/n6bl3SXX3X1fFiVaQK2pZlQ7MMf22+DY7VYM9JwnwMP6Z+RV7+IYpoCNpIkSZIkWRzLmg/Y7l/3YLfzHh/rA6hpbxHNA+wTzLQCtgcffqQP5zJ9GNrU619swJbA5lNHfaafXl44UMKqTCuBVZY79Ztn9KOyhuHNmO3Xbo63iA5NfeU5d7MEbHfcfU9/O2/CtTEj14oCNpIkSZIkWRzLmg/Y4ne/f34fTsVjTzipH5mUcO24E7/UT6vf4plnbD3reS/s/sMzn9udfd4Punur5RJitUKbBFuZl5FyrTdM1gHbnvt/sg/sEuadfubZ/bYz/dPHfLYPhvIctjyPLdM+/6VT+uW+ddY588u1wpuFtl+7Kb3kIGHgTh/dq9/3k79++qgRZAkpTzz51P4zex1wUF9/w2USmD19y627N7/7A83ntN16+x39ixKyzGLCtShgI0mSJEmSxbFsEgFbQpYDDzuyD5WGJmw68rjPzQcxCXUy0m24XN4g+Z/+YetmwFYCvOFnyjPf6oCt5dve/6/z60w5EgwNl/nHF2/XbfnClzbDm4W2X1sHbGXU3HCZxTomYMu8YflqW2FbbpnNrbOZ3woDp9XrtJccHHDoEfPLJbgbzk+91esaOi0YFLCRJEmSJMniWDaJgC1mxNrXTv9297J/eWMfMP3VFs/qQ5hzzr+gH1FWL3vN72/o3rHDTv1yGcV00OFHdVdec10frrUCtnw+o9HKuksQ0wrY/voZz+mXiVn+S1/7xnpvFY0ZQbXHxw/sy5iRWLvuvW93xdXX9utohTcLbb92tW4RXUrAlhFrGXGY+a16HwZs5Zh+/VtnTn25wbU33NgHpvlMq44EbCRJkiRJcjkcyyYTsK2mdRA05jlpm5pjAralmHr78qmn9fWWZ+XN+kbQmDAyYWmCuNwGfNHFlzSXW6oCNpIkSZIkWRyLgG2EArbFORyZttW2L++fjddadjEOR9HltuHWM9pmUcBGkiRJkiSLYxGwjfCpErDV4VXr1suxlvr6317w4u4Thx7Z3XjLrc3lFmsCtmm3Bi/V8pKJooCNJEmSJEnGsQjYRihg27wVsJEkSZIkyZZjEbCRJEmSJEmSDcciYCNJkiRJkiQbjkXARpIkSZIkSTYci4CNJEmSJEmSbDgWARtJkiRJkiTZcCwCNpIkSZIkSbLhWARsJEmSJEmSZMOxCNhIkiRJkiTJhmMRsJEkSZIkSZINxyJgI0mSJEmSJBuORcBGkiRJkiRJNhyLgI0kSZIkSZJsOBYBG0mSJEmSJNlwLAI2kiRJkiRJsuFYBGwkSZIkSZJkw7EI2EiSJEmSJMmGY1m2gO2RRiFIkiRJkiTJTdFkXWNZtoDtD398rFkYkiRJkiRJclMzWddYli1gC4/+8Y/NApEkSZIkSZKbism4FsOyBmwh6Z7bRUmSJEmSJLmpmUxrMSPXCssesAEAAAAAAABPJQRsAAAAAAAAwAwI2AAAAAAAAIAZELABAAAAAAAAMyBgAwAAAAAAAGZAwAYAAAAAAADMgIANAAAAAAAAmAEBGwAAAAAAADADAjYAAAAAAABgBgRsAAAAAAAAwAwI2AAAAAAAAIAZELABAAAAAAAAMyBgAwAAAAAAAGZAwAYAAAAAAADMgIANAAAAAAAAmAEBGwAAAAAAADADAjYAAAAAAABgBgRsAAAAAAAAwAwI2AAAAAAAAIAZELABAAAAAAAAMyBgAwAAAAAAAGZAwAYAAAAAAADMgIANAAAAAAAAmAEBGwAAAAAAADADAjYAAAAAAABgBgRsAAAAAAAAwAwI2AAAAAAAAIAZ2GQCtocefrjbYZfdu7942ha9p3z9tKnTgRY//ukl3bOf/6LuG986Y27Kpk/2aSXb/p133d298V3v63bdc5/+fFtN1kpZZilHls/n8vmsZ7Hcfc893ctf+8b+urfax2OppNwpf/Yj+zOG311zbfecrbfd7K/xK7mfy3X+rKVrwlKY9RxcDDmOuT7nOg0AAIDNm2UN2EpHf5LpNKTzsBRKh6ysq3Q+Jk3HOA741Kfn6674N8/Zqtttr32762+8cW6pzQcB2+JZS53ptVKWWcqR5Wfp3AvYBGxLZbnOn7V0TVgKs56DiyHHMdfnpQRsN950c3fgoYd3z93mJf06nrHV1t3Bhx/d3XPvvXNLAAAAYC0hYHuKk4Dtmf/4gm6/gw7tDjni6N7U519t8az+y/wvfn3p3JJYqyxHwPbYY491Xz3tm937d/7w6MBjc2BT3G8Bm4Btubn0ssu7t79/x+6nP//F3JSlsVzrWS5uuPGmbueP7r2qf1DJccz1eSkBW8K1t7znA90p3zi9O/9HF3X7H3JY/7v5De94b3fvvffNLQUAAIC1goDtKU4CtlYn9/Irr+r+4cXbdTvvsXf36KOPzk3FWmQ5AralBB6bA5vifgvYBGzLTbaVa8hSQqCa5VrPcrEc18ZZmaVO7rv//u7xxx+f+6nr/3/yqad1f/m3z1wzdQwAAIA/s2IB23J3WCcFaZOmYxyTArZ8kc+otk0peHiqshydyE0xaFoONsX9TjlT3pQ75d8UWUq9C9hWjmwr15BZQ5vlWs9ysRzXxllZ7jop+3Tm2efMTQEAAMBaYVUDtj/96U/dxZf8vHvvTrv2z/3K5/Jvfs6tJvVfbicFaZOmFzL66pzvn9/fUpFbK7JMbn388N4fX+8ZY6VTk/nPf+kr+1tLCuULctxx9z26R+ZGdOXZLS959ev76a9/+3v6vza3mFbG4bzyJbz1mdtuv6PbYdeP9PuRevrYJw7q7rjzrn758OCDD/WhWOa/6o1v66657vdzcyYzKWALk+al3vKMtnLMXrz967rvX/Cj/ngOeeihh7rjTjip2+YVr+6XTdneucNO3S233tbPz36l3lP/Q1rzyrSrrr6mv2Vmqxe9rHvl69/S3y6T9pL2lFtqsp38lX+7172pu+jin859ev0OV24P3PeTh/Qj9X5/w4bPm7vr7nv6z++1/4H9siH7eP6FF3Wvecs7+/VnO7m9cOzz6rKe7577/X695fNpm8P9L9up223q8EtfPbV7+JFH5pZ6knqfCtM66cN5+TefH5rjH6YFOml/eSZQeUZQ2sQHnqiPHJ+a0p5jnh90/Be/1D8LL59J+8mxrM/3SUwqS9rT3vt/sj+3s86U57NfOLH7wx/+MLfEhiy036Ve8++lv72sP6e2fOFLu2ufOK+G5ciIz9xqffhnjmvuR7b19C2f3/3m8ivm62J4buVadfoZ35lvGzHHP9uumXY8xpIy5hpbX3tTZ8P2Mvb4hsVcSybVQUg95Lbdcs1IO0l7ST1MatOFXAPf9cEP9XWY83dIrhOvfes71xuZO6kuciyH1/TFnFcLsZT9XMzxaDFsO6XMWVftpONYWOp6SvnLeZprb+qgHItQ2kbMteKIY4/vr4EHHX5UP791vLKeU0//9vx1upSvLktMGVPWYftbzPlbKOdrrl9Zd8oy/J0c8tnMz3VkKe1zSNaXsqbMAAAAWFusWsCWkGD/gw+dX35oOpef+fwJ81+YyxfiMr90PiZND/lynvCjzBuaL8TfPPOs/gv1unUP9s+OyfT/8Mznzj97LB30hEnlMy/659d0t952ez8vX7bzpTvT86yU1hfzMK2Mw3mpw9b0Tx99bP/Fu/xcfPWb397dfscd/WeGnZwTvnxyP30akzrF+XKfL/nD4PDK313dd2YSNpz2ROfirO+d14d+f/2M5/TPianrIAHfy17zhr6es52EKN/6ztndR/bZvw8pQuqidHqGtOaVaV87/Vt9JyP7WcqfDlbKkfKkXNlWAoq6vksbLdPyc9pa2sGQH/zwwn59+Tdk37KPaR+77Pmx7tzzL+i+cuo3+u2nTlI300hbPuyJ45jOYsKg+vPluIfUfeor5XrHB3bs96XUc6Yl5E1HrTDcp1DaQj2tMJyXMDllSWiY/Tjzu9/rfnjRT+b3p3RW0x7TLgsJArJ8goGjPvu5/jMJUxN65pj/6McXzy355/aczuU+Bx48f4xOOuXU+eV//qtfzy09mVZZrr72ur4cmZ76zL6kflNPdXmHLLTfpV7T1rb959f2/y/tcViOsn85R4fPRiqd6pj/l2Xz+fq8y/Go20bOr1xvUrbsY2HS8RhL2mGurWlL5TzOuXnkE8fw2C98cW6pxR3fsBwBW+on51bK9qGP7LXeOfIvb3tXf71ttemanMv5fH1OFS75xa/6spdzOnWRNljXRWk/ORb19TUs5ryaxlL2c7HHo8Ww7Tywbt0T9fSz/g8zad9ZX9abZ6hNCnjCUtaTekx9vmC77fs6r+s5z/4c/q7P7+6Ea1lfTBsKpZ5zbc81Puv54G4f7esyvwNCtpltpxz5bMqV8qSMKeuw/ZWfx5y/IWVNmVPv5XdbORbDNpPjmDKU9riY9jmk/P6t6wsAAABrh436DLbyZTyUL53TzJfQ8kWzfAEu80rnY9L0fPnMX7zL9EnWfwmul//6N5/8ol5GMZXpdfiWL/Zlev4/iUllDMN55Uv3cHq2W/4/9ItfOaX/TL78lxFs6SgsdQRbgqR0GNLJKx2WkI5HOjWf+NTh63W+UtcJGOuRf/c/8EAfDqUzMC14Sl2U0GJIa16mpYOZ/UsgUjoZJSB934d260fNFTISLGUplDZajsGkEQNZb0a31R2uBEB/97xt+tF6dZCYkYUZRZcgdtqIqQSzCUxyjOrPZ7t1mc84+5xmYJn/p0OZ86Ic8zDcp7DYIKC0t2FbCMPOdChtYdiZDBnZ+eZ3f6Af3Zm6CXV7HnYOMxol52Hqu57eolWW4098cjTcsJ2lTSy0vmn7Xeo1IyI/f9JX1hs52CpHOs45T9NJrimjY0qIO2mbOeeu/f31cz89SambBA2F1rYXQ65VaUPTOumLPb5hOQK2SW0/17YEpsN23iKjUXPdGf7RI//PtHr0UM7pBBqtusho2GG7XOx5NYnF7udSjkeLSW0n28o2y++fhVjsenKN2/1jH++vzwm4Ctn3PFOs/r1a2kb2J9f0/B6r6+i662/oR/fWI6bL75vhH4Ra18bQan9jz9+Q45fRrL+9/Mq5KU+Sa1DaQH2+DutkMe2zpoRrCWZL0AcAAIC1xaoEbPkCnC/CZXr+Ul06Bvm3HnVWQovyhbhML1+YJ01P0JPAp0xPqJEv4fkSmy/sCUTKvPJluA7MSgiSL/350p3bQNKJz7yyjfLX9eEtpUMmlTEM55Uv4cPp+WJ9yS9/3Zcpt6DUdTQMlRZDOr7pPGR/08mMCRSyz/mLfN3pTNiZTkUdeBVKPZVRFNmPdOLrTkmL1EU6JK11tuZlWvZ5eCtPCdje+t4dJt6qG4Ydrqwj60r91reJph2mg1e2k3pIRzvHJMdmSNpClk9ndxIlYPvovgdMDDbScRqOlqgp87Ov2ecw3Kew2CCgtLdh4BFanem0hXp035BMz/EvwXNZfz0CtDApHG3RKksCtoTBv7r0t/3Pi2Hafpd6bd2u1SpH6TgP22bC0Lp9TdvmkLKdnKeF1rbHUrbdGqlTs9jjG2YN2BZq+wk+co1ptemacq4Og4pJ5/SkYKrMr9vsYs+rFkvZz6UcjxaT2k62lbZefv8sxGLXk5Aqvz9b6y+/q7/8ta/3P5e2kToYhl3TaLW/1rUxtNrf2PO3HL9hQBbKiPf6Wjask7Hts6aM/huOXgYAAMDaYlUCttIRybT8m59rsp50FjK/fAEuX4jLusoX5knT67K0/iJcvvTGUq46lCsBRlkutzVmWv6fZ3LlS24ZaVA+P4lJZQzDeeVL+HB66XwUWnW0FNIpKdsopg5aYUUJFKdZ9i2hR3le1TSyfKsNhNa8cjxKPRXSIclokNRJAsLMb4VYpV3Ux6Dc6luHgemoJngsoxuHoXDLSftRSHkOOeLovoy5LeyyK67c4Ll1pQ3WIyCGZKRlHeq29qmcY/W0QmteaW+ttpSfM71u5ylfXYYhOe45/mU/yvpbIdq0bQ9plaWM7MjtWWkD9YjFhZi27Va9FlrlyPHNtaEOr0p4mA51aY/TtnnHnXf2Dy/PeZlbV8uzqurttLY9lhLyludZTWKxxzfMGrAt1PantekhJZCqrxOZlpBneE5PG3makcwJesroqsWeVy2Wsp9LOR4tJrWdbCvtrK6vaSx2PWnTmT7NtJHQahtDMpo028j+Jux63kte0a8j9Zb6K0w6h1vbGHv+luNXl31ovd5WnYxpnzXZz9ymfvOtt85NAQAAwFpkVZ7BVjoQk5ZrzS9fiMv6yxfmSdPrsgw7AaE1v15XvkDnuUfl+WsJXPIX6/w/nbLcplJGwSVMmsakMobhvPKFe9L0QkKFMqJuWl0vRN3xTUiV0X3pYCSwGN5yl2UzvTyrqmXpAE7rbNekLoadokJr3rTlE1bl9s084yf1ksAloVnpGIVy3OtjUEYklJFKpaNVjzDJfmR/MnKwtd+xPN9nGll/HupdH7uM+isjFkrbr8s3ZFgHrX2atp7WvNLeWses7HvmZ7mw0PEtnxl2mut1FKZte0irLCEvmXj3v+7ch5e5RTrnap7BuBDTtl3qdXjuhUnlSCc5txyWkTcJbxPUZnqhtc20ufJctIRqCe/Tqc5D1HPO1duZtO0xjGlfYbHHN0z7zHBeqw4WKtvYsocEJLmOlWBk2jld78OQYRtY7HnVYin7uZTj0aIsN2w72daktt5isevJ9PJcuda1M5bfN6VtTGrfuXU39ZPzPLfNHvTpI/tb53NtzvTUX6Ecv7ouQ6v9hTHnbzk+GfXd2o9YP3uuVSdj2mdNjuuk+gAAAMDaYdUDtvrWi0LWU0ZnlTdEli/EZf3lC/Ok6XVZ6r9IF8qX3pjObHkzaMKyTMuohXPO+0E/+q2MxCp/hU84kuAm+1CPbpjEpDKG4cio8iV82mdCAr8yL5+fdlvkNFodt/LQ+OHtKBn1MmZUWhiOsppE9mvYKSq05k1bvpCgrbxNNPWTB4KXAKu0i2F91rcBlREK9Yi2tJ+0xbqtzEI6X3m7beo+bT3P9AljRqJkXn3bWmufyjk23M/QmlfaW+u8bXWmFzq+pQ5zPoWy/nodhWnbHtIqS82NN93c7X/IYfOd7+F5P2Tatku9lnOyZlI5hrd55VgNrz+tbZbbAvPw93pUY2s7C9XBNMaOdFrs8Q3TQqDhvFYdlHZZr7NmWptukX0st3+WkXutc3raCLZc8xMMlbdHLva8arGU/VzK8Wgxqe1kW5PaeovFricjAXOdS/C0EKVttNp3jlnOp+Gz3ELaWOot9VdoXRtDq/2FMedvOYdyTMYwqU4Wap812VbrewwAAADWFqsSsJUvyWXZPff7xPwXx9wCUW7FjPmrbv66W74Ql+nlC/Ok6eV5KpmWL/YJWXJbSb40X3HV7/q3W5bP1J2S8iyxTM+bDvP/crtoPWosf3nOv5MeSFxTnstStpcHUudLdfYrt36WMDGWL+HD/UpHMA9AT/mHz5ArdbQUJnWKyxs564dwl4Bxoef8hCyb/ar/8t+iLDfseGWbGYU07DDl+A6nTSLhYEY1lJA2TOpwlU5tOjgpUx1ghXIMh9NnJe2gDu5K4DppJEOmZV49v7VPpcPd6gRm+dR5vXy2nTK02kKrM73Q8c30+plRpT3X6yiUedOuGYVWWYak7eTB6a12NWTafpd6LedkzaRylHab61uuQTmWxw9Cj9b+TmrX5TjW2xlTB5NYqH0VFnt8QwKDVgDf2t/WtJyjORdaz7wLOTdb5+4kynO/UsZp53QJOYbkmprrfD1/sedVi6Xs51KOR4tJbScB2KS23mKx6ym/V4fnQovSNobrDuU6PazjciyH51DO/9YxabW/MOb8LedQ+V6wENl2q04Wap8AAADY9FiVgC1fYvNWvrLsJHOrRt7yFsoX4jKvfGGeND2do70POGh++iS3fvmr1htBV/6SnHnP3eYl/b+lMzUcbRbHhlv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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(Image('../images/94_Q.PNG'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solution 1: Recursive"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-28T14:22:27.071503Z",
     "start_time": "2019-12-28T14:22:27.069502Z"
    }
   },
   "outputs": [],
   "source": [
    "# Definition for a binary tree node.\n",
    "class TreeNode:\n",
    "    def __init__(self, x):\n",
    "        self.val = x\n",
    "        self.left = None\n",
    "        self.right = None"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-28T14:22:27.079528Z",
     "start_time": "2019-12-28T14:22:27.072501Z"
    }
   },
   "outputs": [],
   "source": [
    "class Solution:\n",
    "    def inorderTraversal(self, root):\n",
    "        output = []\n",
    "        self.rec_inorder(root, output)\n",
    "        return output\n",
    "    \n",
    "    def rec_inorder(self, root, output):\n",
    "        if root:\n",
    "            self.rec_inorder(root.left, output)\n",
    "            output.append(root.val)\n",
    "            self.rec_inorder(root.right, output)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-28T14:22:27.086505Z",
     "start_time": "2019-12-28T14:22:27.080501Z"
    }
   },
   "outputs": [],
   "source": [
    "import math\n",
    "def generate_tree(tree_vals):\n",
    "    num_elem = len(tree_vals)\n",
    "    num_level = math.log2(num_elem + 1)\n",
    "    assert num_level % 1 == 0, 'wrong number in tree values...'\n",
    "    # init all tree nodes\n",
    "    ptree = []\n",
    "    for i in range(num_elem):\n",
    "        tmp_tree = TreeNode(tree_vals[i])\n",
    "        ptree.append(tmp_tree)\n",
    "    for i in range(int(num_elem / 2 - 1) + 1):\n",
    "        ptree[i].left = ptree[2 * i + 1]\n",
    "        ptree[i].right = ptree[2 * i + 2]\n",
    "    return ptree[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-28T14:22:27.110520Z",
     "start_time": "2019-12-28T14:22:27.106526Z"
    }
   },
   "outputs": [],
   "source": [
    "tree_vals = [1, 2, 3, 4, 5, 6, 7]\n",
    "root = generate_tree(tree_vals)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-28T14:22:27.116504Z",
     "start_time": "2019-12-28T14:22:27.112501Z"
    }
   },
   "outputs": [],
   "source": [
    "s = Solution()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-28T14:22:27.124529Z",
     "start_time": "2019-12-28T14:22:27.117501Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[4, 2, 5, 1, 6, 3, 7]"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.inorderTraversal(root)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### submit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-28T14:22:27.133522Z",
     "start_time": "2019-12-28T14:22:27.129526Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(Image('../images/94_S1.PNG'))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Solution 3: Iterative (general)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### code"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-28T14:22:27.163503Z",
     "start_time": "2019-12-28T14:22:27.159501Z"
    }
   },
   "outputs": [],
   "source": [
    "class Solution:\n",
    "    def inorderTraversal(self, root):\n",
    "        output = []\n",
    "        stack = []\n",
    "        while True:\n",
    "            self.goAlongLeftBranch(root, stack)\n",
    "            if not stack:\n",
    "                break\n",
    "            root = stack.pop()\n",
    "            output.append(root.val)\n",
    "            root = root.right\n",
    "        return output\n",
    "    \n",
    "    def goAlongLeftBranch(self, root, stack):\n",
    "        while root:\n",
    "            stack.append(root)\n",
    "            root = root.left"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### test"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-28T14:22:27.176527Z",
     "start_time": "2019-12-28T14:22:27.173518Z"
    }
   },
   "outputs": [],
   "source": [
    "s = Solution()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-28T14:22:27.182503Z",
     "start_time": "2019-12-28T14:22:27.177501Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[4, 2, 5, 1, 6, 3, 7]"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "s.inorderTraversal(root)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### submit"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2019-12-28T14:22:27.194527Z",
     "start_time": "2019-12-28T14:22:27.190501Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<IPython.core.display.Image object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "display(Image('../images/94_S2.PNG'))"
   ]
  }
 ],
 "metadata": {
  "hide_input": false,
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  },
  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {
    "height": "calc(100% - 180px)",
    "left": "10px",
    "top": "150px",
    "width": "207px"
   },
   "toc_section_display": true,
   "toc_window_display": true
  },
  "varInspector": {
   "cols": {
    "lenName": 16,
    "lenType": 16,
    "lenVar": 40
   },
   "kernels_config": {
    "python": {
     "delete_cmd_postfix": "",
     "delete_cmd_prefix": "del ",
     "library": "var_list.py",
     "varRefreshCmd": "print(var_dic_list())"
    },
    "r": {
     "delete_cmd_postfix": ") ",
     "delete_cmd_prefix": "rm(",
     "library": "var_list.r",
     "varRefreshCmd": "cat(var_dic_list()) "
    }
   },
   "types_to_exclude": [
    "module",
    "function",
    "builtin_function_or_method",
    "instance",
    "_Feature"
   ],
   "window_display": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}