Model/BraTS20_DAUNet.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/kevinteng/anaconda3/lib/python3.6/site-packages/tensorboard/compat/tensorflow_stub/dtypes.py:541: FutureWarning: Passing (type, 1) or '1type' as a synonym of type is deprecated; in a future version of numpy, it will be understood as (type, (1,)) / '(1,)type'.\n",
      "  _np_qint8 = np.dtype([(\"qint8\", np.int8, 1)])\n",
      "/home/kevinteng/anaconda3/lib/python3.6/site-packages/tensorboard/compat/tensorflow_stub/dtypes.py:542: FutureWarning: Passing (type, 1) or '1type' as a synonym of type is deprecated; in a future version of numpy, it will be understood as (type, (1,)) / '(1,)type'.\n",
      "  _np_quint8 = np.dtype([(\"quint8\", np.uint8, 1)])\n",
      "/home/kevinteng/anaconda3/lib/python3.6/site-packages/tensorboard/compat/tensorflow_stub/dtypes.py:543: FutureWarning: Passing (type, 1) or '1type' as a synonym of type is deprecated; in a future version of numpy, it will be understood as (type, (1,)) / '(1,)type'.\n",
      "  _np_qint16 = np.dtype([(\"qint16\", np.int16, 1)])\n",
      "/home/kevinteng/anaconda3/lib/python3.6/site-packages/tensorboard/compat/tensorflow_stub/dtypes.py:544: FutureWarning: Passing (type, 1) or '1type' as a synonym of type is deprecated; in a future version of numpy, it will be understood as (type, (1,)) / '(1,)type'.\n",
      "  _np_quint16 = np.dtype([(\"quint16\", np.uint16, 1)])\n",
      "/home/kevinteng/anaconda3/lib/python3.6/site-packages/tensorboard/compat/tensorflow_stub/dtypes.py:545: FutureWarning: Passing (type, 1) or '1type' as a synonym of type is deprecated; in a future version of numpy, it will be understood as (type, (1,)) / '(1,)type'.\n",
      "  _np_qint32 = np.dtype([(\"qint32\", np.int32, 1)])\n",
      "/home/kevinteng/anaconda3/lib/python3.6/site-packages/tensorboard/compat/tensorflow_stub/dtypes.py:550: FutureWarning: Passing (type, 1) or '1type' as a synonym of type is deprecated; in a future version of numpy, it will be understood as (type, (1,)) / '(1,)type'.\n",
      "  np_resource = np.dtype([(\"resource\", np.ubyte, 1)])\n"
     ]
    }
   ],
   "source": [
    "import sys\n",
    "import time\n",
    "sys.path.append('/home/kevinteng/Desktop/BrainTumourSegmentation')\n",
    "import numpy as np \n",
    "import tensorflow as tf\n",
    "import matplotlib.pyplot as plt\n",
    "import os, random\n",
    "import utils\n",
    "from utils_vis import plot_comparison, plot_labels_color \n",
    "from utils import dice_coef, ss_metric, compute_metric\n",
    "import nibabel as nib\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "- Blue => Label 1 (Necrotic and Non-enhancing Tumor Core)\n",
    "- Yellow => Label 2 (Peritumoral Edema)\n",
    "- Green => Label 3/4 (GD-Enhancing Tumor)\n",
    "---\n",
    "* Core => Label 1 & 3\n",
    "* Enhancing => Label 3\n",
    "* Complete => Label 1,2, 3"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Hyperparameter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "SHUFFLE_BUFFER = 4000\n",
    "max_epochs = 30\n",
    "BATCH_SIZE = 24\n",
    "lr = 0.00001\n",
    "opt = tf.keras.optimizers.Adam(lr)\n",
    "ver = 'DeepSupervisedAttentionUNet02' #save version \n",
    "dropout=0.3 #dropout rate\n",
    "hn = 'he_normal' #kernel initializer \n",
    "tfrecords_read_dir = '/home/kevinteng/Desktop/ssd02/BraTS20_tfrecords03/'\n",
    "stack_npy = \"/home/kevinteng/Desktop/ssd02/BraTS2020_stack03/\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Helper Functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "xent = tf.keras.losses.CategoricalCrossentropy()\n",
    "\n",
    "def generalized_dice(y_true, y_pred, smooth = 1e-5):\n",
    "    \"\"\"\n",
    "    Generalized Dice Score\n",
    "    https://arxiv.org/pdf/1707.03237\n",
    "    https://github.com/Mehrdad-Noori/Brain-Tumor-Segmentation/blob/master/loss.py\n",
    "    \"\"\"\n",
    "    \n",
    "    y_true    = tf.reshape(y_true,shape=(-1,4))\n",
    "    y_pred    = tf.reshape(y_pred,shape=(-1,4))\n",
    "    sum_p     = tf.reduce_sum(y_pred, -2)\n",
    "    sum_r     = tf.reduce_sum(y_true, -2)\n",
    "    sum_pr    = tf.reduce_sum(y_true * y_pred, -2)\n",
    "    weights   = tf.math.pow(tf.math.square(sum_r) + smooth, -1)\n",
    "    generalized_dice = (2 * tf.reduce_sum(weights * sum_pr)) / (tf.reduce_sum(weights * (sum_r + sum_p)))\n",
    "    return generalized_dice\n",
    "\n",
    "def generalized_dice_loss(y_true, y_pred):   \n",
    "    return 1-generalized_dice(y_true, y_pred)\n",
    "    \n",
    "def custom_loss(y_true, y_pred):\n",
    "    \n",
    "    \"\"\"\n",
    "    The final loss function consists of the summation of two losses \"GDL\" and \"CE\"\n",
    "    with a regularization term.\n",
    "    \"\"\"\n",
    "    \n",
    "    return generalized_dice_loss(y_true, y_pred) + 1.25 * xent(y_true, y_pred)\n",
    "\n",
    "def data_aug(imgs, seed=8888):\n",
    "    x = tf.image.random_flip_up_down(imgs,seed)\n",
    "    x = tf.image.random_flip_left_right(x,seed)\n",
    "    return x"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "----"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "from utils_model import conv_block, coordconv_block, up, pool, attention_block\n",
    "from tensorflow.keras import Model\n",
    "from tensorflow.keras.layers import Input, Conv2D, UpSampling2D, Activation, Add, Multiply, GaussianNoise\n",
    "\n",
    "def AttUnet_model(input_layer, attention_mode='grid'):\n",
    "    gauss1 = GaussianNoise(0.01)(input_layer)\n",
    "    #downsampling path\n",
    "    conv1 = conv_block(gauss1, filters=64, kernel_initializer=hn)\n",
    "    pool1 = pool(conv1)\n",
    "    \n",
    "    conv2 = conv_block(pool1, filters=128, kernel_initializer=hn)\n",
    "    pool2 = pool(conv2)\n",
    "    \n",
    "    conv3 = conv_block(pool2, filters=256, kernel_initializer=hn)\n",
    "    pool3 = pool(conv3)\n",
    "    \n",
    "    conv4 = conv_block(pool3, filters=512, kernel_initializer=hn, dropout_rate = dropout)\n",
    "    pool4 = pool(conv4)\n",
    "    \n",
    "    conv5 = conv_block(pool4, filters=1024, kernel_initializer=hn, dropout_rate = dropout)\n",
    "    \n",
    "    #upsampling path\n",
    "    att01 = attention_block(conv4, conv5, 512)\n",
    "    up1 = up(conv5,filters=512, merge=att01, kernel_initializer=hn)\n",
    "    conv6 = conv_block(up1, filters=512, kernel_initializer=hn)\n",
    "    \n",
    "    if attention_mode=='grid':\n",
    "        att02 = attention_block(conv3, conv6, 256)\n",
    "    else:\n",
    "        att02 = attention_block(conv3, conv4, 256)\n",
    "    up2 = up(conv6, filters=256, merge=att02, kernel_initializer=hn)\n",
    "    conv7 = conv_block(up2, filters=256, kernel_initializer=hn)\n",
    "    #injection block 1\n",
    "    seg01 = Conv2D(4,(1,1),padding='same')(conv7)\n",
    "    up_seg01 = UpSampling2D()(seg01)\n",
    "    \n",
    "    if attention_mode=='grid':\n",
    "        att03 = attention_block(conv2, conv7, 128)\n",
    "    else:\n",
    "        att03 = attention_block(conv2, conv3, 128)\n",
    "    up3 = up(conv7, filters=128, merge=att03, kernel_initializer=hn)\n",
    "    conv8 = conv_block(up3, filters=128, kernel_initializer=hn)\n",
    "    #injection block 2\n",
    "    seg02 = Conv2D(4,(1,1),padding='same')(conv8)\n",
    "    add_21 = Add()([seg02, up_seg01])\n",
    "    up_seg02 = UpSampling2D()(add_21)\n",
    "    \n",
    "    if attention_mode=='grid':\n",
    "        att04 = attention_block(conv1, conv8, 64)\n",
    "    else:\n",
    "        att04 = attention_block(conv1, conv2, 64)\n",
    "    up4 = up(conv8, filters=64, merge=att04, kernel_initializer=hn)\n",
    "    conv9 = conv_block(up4, filters=64, kernel_initializer=hn)\n",
    "    #injection block 3\n",
    "    seg03 = Conv2D(4,(1,1),padding='same')(conv9)\n",
    "    add_32 = Add()([seg03, up_seg02])\n",
    "    \n",
    "    output_layer = Conv2D(4, (1,1), activation = 'softmax')(add_32)\n",
    "    \n",
    "    return output_layer"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "input_layer = Input(shape=(240,240,4))\n",
    "model = Model(input_layer, AttUnet_model(input_layer))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "@tf.function\n",
    "def train_fn(image, label):\n",
    "    with tf.GradientTape() as tape:\n",
    "        model_output = model(image)\n",
    "        loss = custom_loss(label, model_output)\n",
    "    gradients = tape.gradient(loss, model.trainable_variables)\n",
    "    opt.apply_gradients(zip(gradients, model.trainable_variables))\n",
    "    \n",
    "    return model_output, loss, gradients"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Epochs  1\n",
      "\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.3848484456539154\n",
      "Accurary: 0.9976388812065125\n",
      "Dice coefficient: [1.0, 1.0, 0.9802727]\n",
      "Sensitivity: [1.0, 1.0, 0.9868574766738976]\n",
      "Specificity: [1.0, 1.0, 0.9983202894273626]\n",
      "Gradient min:-0.07565556466579437, max:0.09510085731744766\n",
      "Compute time per epochs: 0.59 mins\n",
      "\n",
      "Epochs  2\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.36076000332832336\n",
      "Accurary: 0.9868402481079102\n",
      "Dice coefficient: [0.87082404, 0.8814286, 0.862897]\n",
      "Sensitivity: [0.9490291268321708, 0.8440492497394083, 0.9366591931801614]\n",
      "Specificity: [0.9966535155705486, 0.9990856178235795, 0.9925111079273844]\n",
      "Gradient min:-0.0877402126789093, max:0.0880039855837822\n",
      "Compute time per epochs: 0.58 mins\n",
      "\n",
      "Epochs  3\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.46259286999702454\n",
      "Accurary: 0.9906250238418579\n",
      "Dice coefficient: [0.14492753, 0.15151516, 0.8142747]\n",
      "Sensitivity: [0.07812504801432041, 0.08196726328047742, 0.6930111058588432]\n",
      "Specificity: [1.0, 1.0, 0.9997503076566819]\n",
      "Gradient min:-0.37184247374534607, max:0.47599706053733826\n",
      "Compute time per epochs: 0.59 mins\n",
      "\n",
      "Epochs  4\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.9820089340209961\n",
      "Accurary: 0.9578298330307007\n",
      "Dice coefficient: [0.0, 0.0, 0.0057306592]\n",
      "Sensitivity: [1.0, 1.0, 0.10769244497039307]\n",
      "Specificity: [0.9724826388936663, 0.9868750000022787, 0.9587903015627374]\n",
      "Gradient min:-0.17533031105995178, max:0.14699609577655792\n",
      "Compute time per epochs: 0.58 mins\n",
      "\n",
      "Epochs  5\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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Z2u02vu/TbDbJ5XK0Wq0wIHuex9LSUtgyLpvNkk6n6fV64XCQkZERPM8LSy8qlQqHDx8mn8+za9cuEokEr3vd68JtXlxc5JlnngGgWCzygQ98gJGREX7rt35rm/aiiIiIyOVtR5VY3HLLLRQKBXzfp91uk0qlmJqaIhaL4bpuGHS32ri1223W19fpdDrhCvFWuYQxhnQ6TTqdplQqYYxhYWEB3/fxPC+sY956bNd1KZVKRKNRarUaKysrtFotHMehVCqxb98+pqamwv7LQRCwsLDAyspKeFIfwPXXX8+HPvSh7dyNIiIiIpe1HbWCvLVavFV/PDo6SiKRoFqthqUSnueRTqfxfZ9Wq0W/3yefz4f9i3u9HpFIJOxwsdXSbassY6tTheu6dLvdsM45nU6TzWY5d+4cxhjGx8fD0DszM8Pk5CT5fJ719XUqlQrGGI4cOcLMzAz79+8H4PHHH+fUqVPn9UwWERERkVfWjgrI09PTdDqd8AS7RqPB+vp6WEucTCaBjZPi+v0+8XiceDyO7/t0u92wZhgglUrRbDZJpVJ4nofjOOzZs4fFxUUajQa7du0K75tMJhkZGSGZTDIYDMJaZ8dxSCaTjI2NheOps9ksi4uLzM7O4vt+GI4Bdu3axWc/+1le//rXX/ydJyIiIrJD7JiAfOjQIXK5HN1ul0KhEI6BLhQK4cjpeDxOrVYLV5i3Jud1u91wgl6j0aDX65FKpeh2u0QiESqVCo7jEIlEGBsbo91uhzXH0WiURCJBMpkkHo8zOjrKmTNnAMIOGvV6PaxhDoKAJ554gpGREW677bbzXkO1WmVpaYldu3bxla98hbe+9a0XezeKiIiIXPZ2TA1ys9kMT8JLpVIA4YCPfr+PMSZs5TYYDMLOFaurq3Q6HRzHCW/fCrvGGFzXDafqra6uhqvTkUgE13VJpVIEQcC5c+col8s0m02CICAajWKMCcsstoaKfPnLXyabzfLGN77xO15DLpdjZmaGI0eOKByLiIiIvEp2zCS9Y8eOsb6+jud57Nq1C2MM5XIZz/PI5XLhaGnP8+h2u8RiMTqdDrVaLawxrlQqrK+vh5PuRkZGWFhYIBqNsra2Rr/fZ2RkhGw2SyQSCU/u2wrcWyvS1WoVa23YAq7dbhONRikUCkxMTITb/NWvfpUf+ZEfOe91nDt3jgcffJCHH34YgI9//OMXdT/KxaFJeiKXFE3SE7l0aJLesPn5eRKJBOPj4/R6vXDVOJFI4HkeiUSCaDTK2bNnSSaTZDIZ6vU6sVgMx3HwfZ9isUgQBBhjwgDcarXCfsnxeJxUKoXrusRiMaLRKP1+n0ajQbvdptFoANDv9xkMBmHpxvj4OKVSKTzxb35+ns997nO8+93v/o7XMT09zTve8Q6effZZdu3axec+9zne+973XtR9KSIiInI52zEBeTAYhCfhOY6D53lhq7atIFupVIhEIqRSqbB8otvthifpGWNotVpYaxkZGaHf71Mqleh0OrTbbYrFItZa+v1+WHrhOA7Ly8tkMhl836darZLJZKhUKiwvL7N///7z+h5/4hOfYGFhgVtvvZWZmZnw+kOHDnHXXXfR7/cpFouUSiXe+MY3ctVVV/Hggw/ypje96aLvUxEREZHL0Y6pQY5EIqTTaYIgYDAYhNe3Wi2q1Sq1Wo21tTXy+Xy4uhuLxWg0GnQ6HYrFIkC4epzL5ZicnGRkZCQsmchkMuGKdL/fZ3V1lYWFBeLxOOVymXq9TjQaJRaLUSwWmZqawvd9zp07B0ClUqHf7/P617+eYrEYbmelUuHv/u7vuO+++/j85z/Pxz/+cay15PN5AG644Qbuvvvui7xHRURERC5PO2YFud1u0+l0cF037FABG32MU6kU9Xo9rBGOxWIMBgOstbiuS7vdxnXdsMtFJBIJT7Lr9Xrs27ePyclJrLUsLy9Tq9Xodrv0+32i0SiDwYDBYMCuXbvIZrPhRD1jDM8++yyHDx+mXC4Ti8V45zvfydraGtVqlSeffJLR0VEajQbvete7iEajtNttCoUCU1NTtNttYKMbxoEDB7Zz94qIiIhcNnZMQN4aJQ2cV2qxtaK81U0iCAIcx8F1XRKJBPV6nXa7jed5ZLPZMPT2ej3Onj2L4zi84Q1vAODzn/88juNQKBTCrhmet7GLr7nmGkZGRsLnbbfbJBIJvu/7vo9EIkGz2QxbzsViMZrNJr1ej9XVVaanpzl48CClUol6vc6+ffvCnspbrrrqKj772c/ygQ984KLtUxEREZHL0Y4JyD/6oz/KV7/6VQqFAolEIlxRBkgkEsRisbA1W6fTCcPq1vjpTCbD6Ogo6XQ67EfseV5YFvH000/zqU99iptuuokf+7EfIx6Ph0H7qquuIhaLkUgkaDQa4ZQ+2Oi9XCgUGAwGVCoVgLCN3NjYWBiqtybwRaNRjh49yoEDB8Kgv+Wqq666iHtURERE5PK0YwIybKzc5nI5er1e2HotFouRSqVot9thx4qtr0ajQaPRYGJigmQySa1WI5vNsry8TLfbxXVdgiDgzJkzfOELX2B9fT0sr5ienmZqaipcQfZ9H2st1WqVer0OEE7hK5VKVCqVsMvFYDAgHo+HJwh6nkc8HmdlZYWJiQkmJyc5efIk11577Xmv75prrrm4O1RERETkMrRjTtIDGB8fJ5lMhjXFxhistWG7t263S6VSCQd49Pt9EokEhUKBfr9Pu91mcXGR9fV1MpkMrVaLqakp6vU6nufx5je/Gdd1WVpaIpfLUSwW8TyPRqNBEAThoJDBYEA+n2dxcZFPfOIT3HfffaTTaYrFIvl8PlxBbjabzM3Nsbi4iO/7lEqlcNV4fHycWq32Ha/xmWeeudi7VUREROSysqMC8tLSEr7vE41Gw1rfrRPrtoZ8+L5PvV7H9336/T7ZbJZmsxmu9G7VI5dKJYrFIrt27SKXy/GhD32IX/iFX+DgwYMsLy/zyCOPcPr0aYIgIAiCsOZ4165dTE5OMj09TbVa5ROf+ATHjh0jk8kQi8XO64Dh+344oGRtbQ1rLZVKhcXFRVZWVrj33nu58847OX78OCsrKwBcffXV3HHHHdu8p0VEREQuXTtmkt6Wv/iLv+AHfuAHGBkZYdeuXXQ6HTqdDt1ul7m5Oa677joAjh49ytLSEplMhomJCQaDAeVyOQy56+vrTE9P4/s+8Xgc2CiNqNfrWGtpNptUKhVarRb5fJ5SqUSv1wtXppeXl1lcXOQd73gHAOVymXQ6zSOPPBKOwm61WtTrdVzXJZlMhuF9axLg4uIiCwsLHDx4MBxw8pa3vCVsSSeXLk3SE7mkaJKeyKXjgo7XHbWCDPBzP/dzPPzww5w5c4ZqtUosFiObzTI6Osp1113HN77xDX7lV36FX/qlX+Jb3/oWqVSKXq9HEAS4rkuxWCSZTJJOpwEY/gVjaWkpLMvI5/NceeWVvO51r+Ohhx7i6NGjdLtdBoMB/X6fSCTC1VdfHf7s3NwcZ8+epVarhVP3tqb21Wo1ms0mAKVSiUwmQ7/f5+jRo1SrVarVaji0JB6Pa/y0iIiIyMuwo07S2/L7v//7zMzMcPDgQW677TbGxsbo9/scO3aM22+/ndnZWfbs2RN2nvA8LwzC/X4fIBzSARsrvYlEgmq1SrFYJBaLARCLxfB9n+uvv55yucza2hrxeJxGo8H4+Hg4Who2TrD75Cc/yd69e+l0OmEbt1QqFY643grzAM1mk2q1CsDCwgKdTod8Ph/WOIuIiIjI92ZHBuQjR44Qj8eZn5/nnnvuwfO8sMvEYDAIT447ffo0rVaL3bt3hx0mqtUqY2Nj4WO5rkulUgnrkmGjXMLzPFqtFuVymX379rG6ukqtVsMYQyqVolwu0+v1SKVS4eOlUinS6TSHDx8ml8uxb98+RkZG8DyP5eVler0etVqNfD6PtZbdu3eTz+fxPI8gCBgfH+eJJ57gIx/5yMXfqSIiIiKXiR0ZkAEee+wxdu3aRTwe54orruDgwYNceeWVTE9P881vfpMnn3ySpaUlHnzwQaLRKIVCgUgkwtmzZ3Fdl3379nHy5ElisRjdbjccMNLv92m1WsTjcTzPIxaLsbq6SiQSwfd9arUau3fvJpPJhPXL6+vrPPzwwxw8eJBqtUo2mw2D8dzcHNZa9u3bRzweZ3Z2lmazyejoKI7jkEgkwhP5Zmdn+cY3vrHdu1ZERETkkrZjA/L+/fv5oR/6IT74wQ/yzne+MyyLAHjf+95Ho9Hg9OnTNBoNTp06xcrKCqOjo4yPj7OysoLneRhjqFQqFItFfN+nWq2GNcOu63LFFVeQSCTo9XoARCKRsHPGuXPnANi3bx+RSIQbbriBbDbLF7/4RUZHR8nlcjQaDer1OplMhrW1NXzfDztbZDKZcNLe6dOnw9Z1s7Oz27I/RURERC4XOzIgv+lNb+IXf/EXee9730s6nWZlZYWVlRW63S6ZTIarrrqKdDrNzMwMnU6HSqXC0tISxhgmJiYol8vMzc2xd+9eotEog8GATqfD6dOnGQwGRKNRHMfB8zxSqRT5fB7HcchkMnieRzqdZjAYhKvPtVotHIW9e/duYKMjRqvVIhqNkslkqFQqYYlGIpHAWhvWQVcqFQqFArVaDd/3t3PXioiIiFzydlwXC4B/+2//Le9///tpt9ucO3cuDKKRSIRGoxH2FK5UKjzzzDM4jsP09DSRSCQczjExMcGZM2dwHIdIJEIqleKaa66h0+mwurrKyMgI7XabhYUFjh49yvz8PK1WKxxnXSgUwvZxKysrNJtNms0muVyOdDpNJpNhZGSEfD7P/Pw86+vrZLNZpqamyOVyzMzMkEqlGAwGjI+PUywWOXXqVNjtQkRERES+NztyBfkd73gHvV7vvIl47XY7nG7XaDQolUrMzMzQ7XbD2yKRCNZastkskUiElZUVzp49y5VXXhlOvpueniaRSOA4Tth5Ym5ujrm5ufNGWieTSWKxGMvLyxw9epS3vOUtWGtZW1uj2WySTCbJ5XLUajWi0SjJZDJc4Z6enub06dMsLCyEreWOHz/Ob/7mb273rhURERG55O24gHzvvfcSjUapVCphG7ZutxuOcIaNFmqNRoN0Os309HRY15vJZGg2m1hrcV2XiYkJVldXOXToEK7r4jgO+/fvZ2ZmhhMnTrC4uIi1Fs/zcByHtbU11tbWcF2XSCTC6OgoJ06c4P7772diYoJkMokxBtd1SSQS9Pt9HMfh2muvJRqNcvToUdrtNq1Wi2q1SrPZZGlpibm5OT72sY9t1y4VERERuazsuBKLXC4XhmLf92m328TjcbLZLK7rkk6nCYKAhYWF8H7tdpt6vR62cms0Gpw4cYJ4PM7ExATGGE6dOkWv1wtP6puenuaaa66hWCyGK8qjo6Ps2bOHdDpNp9NhZWWFer3OLbfcQiKRoNvthvXLy8vL4VjsBx98kLvuuot6vc7Y2BiO47CyssLy8jJra2sKxyIiIiKvoB03anp9fZ0gCFhdXQ0n23meRyKRoN1uUy6XcV03bLNWrVZpNBrkcjlGRkZIJpOsr69z5MgRbrnlFtrtNsVikaWlJU6ePEk2m+XAgQN0u11Onz4dBuNGo0G1WmVxcZFOpxMG4d27dxOLxcLWb1tlG0tLSxw/fpy1tTWmpqbIZDJkMhkA6vU6DzzwAH/6p3+6zXtTXi0aNS1ySdGoaZFLxwUdrzuqxOLYsWNkMhlWV1fDwR+xWAzXdel2u1hrw/KJTqdDr9cjGo0SBAHVahXHcYhGowA0Gg3K5TK+74cn6RUKBSqVCt1ul2KxiOu6LC4u0uv1iMViOI5DPB4nl8vRbrdJJpNUq1VGR0fDNnOlUikcOPLoo4+ytLREoVDgjW98I0tLS9x5552cPXtW4VhERETkVbKjAvJWh4qtcNzpdEgkEsTj8bDet1Ao4Ps+lUolHMTR7/ex1oYT84wxJJPJ8N++75PP58nn85w8eZLHHnuMG2+8kVwuRzwe59lnn2UwGIQ9jCORSDhEJBqNks/nqVQq+L7PzMxMuL1veMMbztv+rfHS6nUsIiIi8urZUQG5VquFwzqi0Siu6xKLxUilUjiOQ6VSAaDX65FMJonH48DGKnOz2WQwGLC8vEwyBdW5AAAXrklEQVQmkyGZTIYt27bCdKvVwnVd5ufn+cpXvsKVV17JzMwMpVIp7F7RbDYpl8s0m00cx2Fqaop+v8/S0hK5XI7Dhw+TzWaZnp4+b9tPnz5NuVxmamqKarV60fediIiIyE6xowJyu92m3++HK7hb46M7nQ6pVIpoNEqj0aDX65FIJMhmswRBwNraGuVyOZykF4/H6XQ6wMZ0PNhYjW42m4yNjRGPx6nVajz55JP0ej1GRkbIZDJYa+l0OoyPj9Pr9cIR1VuBNxqNEo1GaTabPProo+etIB85coTV1VUAbrjhhou850RERER2jh0VkG+77Ta+9a1vhXXEW9Pq+v0+nueRyWTodDoMBoMwuBpjwml2rusyGAxIJpM4jsPZs2eZnJwMV589zyOXy+E4Do7j0O12WV5eZn5+nlKphLWWdDpNPB4nHo+HE/iazSa9Xo+1tTV2796N4zgMBgOOHz/OVVddRbVaDVeqs9ksxWJxm/ekiIiIyOVrRwVk2OhisdXWbatsIp/PMxgMaLfb+L6PtZZut0u32yUej+N5HtlsFs/zaDQaZLNZrLWsrKxgrQ27WwRBgLU2HBCSyWSo1WosLy9z+vTpcPjI7Ows1towiI+NjYW1yeVymX6/TzabJRaLcejQIR544AH6/T6DweC8SX8iIiIi8srbcX2Q3/nOd1Kv1+l0OsTjcRKJBL7v4/s+/X4/XFHudrsYYxgMBvT7ffr9flib3Ov16Pf7+L7P8vIy7XabTqdDq9UKTwCMRqP4vk+5XGb//v2USiXi8Ti+7wMbdc5bq8v1ep1MJsPo6CidTodMJkMul6PX6zE3N8fs7CydTic8QbDVam3nLhQRERG5rO24FWQAYwye55FKpcJQPBgMqNVqOM7G7wzxeJxWq4Uxhmw2G5ZDWGsxxoQdKjzPC78bY6hWqyQSCYIgCIP0/Pw88XicWCwWBm/XdSkWi8Tjcay1LC8vh2OsO51OWJe8urpKu90mkUiEvZo9b0f+ZxMRERG5KHZs0gqCgCAI6HQ6uK6L67rAxsl2xnx7RkO32w17GFcqlbCEAmDv3r0888wz1Ov1cPW31WpRLBaJxWJUq1VGRkaoVqskk0mi0Shnz55leXmZPXv2sHfvXrrdLp1OJ2wb12w2abVa4Rjsw4cPMzU1xd69e4lEIkSjUZVYiIiIiLyKdtwkvS2HDh0KV323RkF3u91wiEej0aDVaoU9krc6X5w4cQJrLZOTkwRBwOLiIgsLC0xMTHDgwIGwtCKdTpPNZjHGcOTIEZrNJrVajWQyyd69e1lbW6NSqYSt5rZWlq+44gr6/X5Y3xwEAadOnWJsbIwrrriCM2fO8BM/8RPbvfvkVaZJeiKXFE3SE7l0aJLeizl69CixWIyJiQlGR0eJx+OsrKxQLpcpFArAxupxs9kMSyvy+Xw4VrrZbJLP5/n+7/9+CoUC7XabaDRKr9cLa4+3Tr6LRqP0+31SqRSdTofTp0+TSqUoFoskEgkymQxLS0t0u91wYp/rujQaDZ544gnm5uaIRCLcfvvt27zXRERERC5/OzYgnzlzhl27dpHJZKjX69TrdRzHoVqthl0rtsoqIpEI9XqdZrNJKpUikUgwNzdHOp2m0WiEJ9SdOHEiPBkvCALK5TLdbpdMJkO32yWfz9Ptdmm327RaLZLJJNlslkwmg+M4Yf/lhYWFsL+y4zjU63WOHz++zXtMREREZGfYsQH5137t17jrrrvCkoqtuuNUKgUQTseDjUl6kUiEwWBAJBKhWCyet9obBAHdbpeFhQVc1yWVSoVt4crlMslkkkwmQxAEpFIpCoUC9Xqd1dVVKpUKQRCQTCY5cOAA09PTYYnH/Pw8R48e5ZOf/OS27ScRERGRnWbHBmSA973vfWGobbfbRCKRsCMFfHvynuM4RCIRstksrVaLVCrFddddxze/+U2uuOIKYKOtW6FQYGFhgXw+H/ZCHgwGzM7OkkqlGB0dJRaL0Wq1qNfreJ5Hp9NhZWUFz/PCjhqdTofFxUUOHz7Mgw8+uJ27SERERGTH2dEBGQiDcRAE9Pt9crkcrVaLIAgwxoQrxJ1OJ2y3ZoyhVqsRjUZ54oknmJqaolQqMTk5yZkzZ1hbWwun9QFkMhlgo6a50WiEXSump6fp9/ssLCxQr9cJgoCHHnoIay3PPvss8/PzPPXUU9u1a0RERER2pB0fkBuNBrt37yabzVKtVul2u+fVH3c6HRzHwfM8VlZW6HQ6FItFkskkU1NTeJ6H53n4vk8ymSSfz9Pv95mbmyOfz5NIJIjFYmFv5H6/TxAEZDIZotEo6XSaVCqFMQZjDPfffz+u69Lv9zl27Nh27x4RERGRHWfHB+SVlRXy+TyFQoFsNsvi4iLdbpdisRiG2H6/T7vdplAohCfZxWIx4vE4MzMzYYeKVqtFLpdjbGyM2dlZfN/HdV0WFhbwPI9YLMbIyAiFQoFms0m9Xmdqaop0Ok2328XzPJLJJM888wz33nsvs7Oz2717RERERHacHR+Q3/72t3PfffeFwzxKpRLVapXFxUVSqRSZTIZOp0O/3yeRSBCJRLDWUqvVyGazRCKRMOwuLi6STCbpdrtMTk7iOA6+71Ov1xkMBvi+j+d54SCRWq2G67oYY6jX67RaLY4dO8bf/u3fcuzYMVZXV7d794iIiIjsODs+IMNGx4qpqSkGgwHRaJSRkRGazWZYLxyLxZiamqLdblOtVsPpe5lMhmQyGZZRFAoFgiCg0WgQjUZJJBLhGGnXdcnlcnQ6HZ566ilGR0cZDAY8+uijJJNJUqkU1Wo1HBqSTqcVkEVERES2gQIy8NRTT3HdddcxOjrK+vo6qVSKkZERYrEYjUaDIAhotVoMBgPi8TjJZJJms0ksFsNaSzqdplQqhY+3vr5Ov98Pu1KMjY3h+z7ZbJYgCMI+yAC1Wo1KpUI6nSaZTOI4Ds1mM+ykISIiIiIXl1IYcOedd5LL5fjQhz7EqVOnaDab4QS9UqlEJpOhWq0CG4M7rLUkk0k6nQ6DwYDBYBCWTGy1d/N9n1gsRjQaZc+ePWFvY4DR0VGSySTJZJJ4PI7v+6ytreF5Hn/+539OOp3m6aef3s5dIiIiIrJjKSADDz30EPF4nPHxcW655Rbm5ubwfZ90Ok2tVqPX65FKpUgmk9RqNRYWFrDWMjMzc15nisFggLU2DMYA1loGgwHGGOLxOJFIBN/3qVarDAYDWq0WzWaTwWAAEA4kEREREZHtoYC86Wtf+xojIyO8//3vDwd+bLVf2xreEQRB2AKuXC6HK8LtdpvBYEAmk8FaG9YtJxIJBoMB9XqddDqN67rU63UikUg4Xrrb7YbDQzqdDtlslnK5vM17Q0RERGTnUkAecuedd/L1r3+da665hl27dtFut8NWbYPBgFOnTpHJZMjn86TTaQD6/X4YoqPRKK7r4jgOjUaDbrfLYDDA87ywXVw6naZYLIYT+hqNBrOzszSbTZLJJAsLC9u8F0RERER2NgXk5/j6179Or9djenoax3HC0grXdbHWUq1WwxPzjDFEIhFSqRT5fB7f98Nyi16vF46odhwnrE8eHR3F8zza7TbHjx+nUqkQjUaJxWLh4508eXK7d4OIiIjIjqWA/Bxzc3OcPn2aSCTC2NgYxhhc16XX64Xt3IIgwHXd8Hu9XicWi5FOp/E8j8XFRVzXJZVK0e12abVaOI5DsVgkGo0yPz/P8ePHmZubo9PpcO211+I4DkePHlVrNxEREZFt5mz3BrzW/PEf/zHPPvssi4uLAESjUZrNJktLS5TLZbrdLo1Gg2azSSQSCUdEO45DPB6nUqmEq8etVot0Oh2WXnQ6HR577DG+/OUvc+LECer1etg7eXV1lccee4x//Md/3OY9ICIiIrKzaQX5efzO7/wOv/u7v4vv+0xPT3PgwAGy2Sy9Xg9rLfF4HM/z6Pf7rK+vA2CMoVKp0G63SaVS55VZxGIxZmdn6Xa7dLtd9u/fTzQapdVqYa3liSeeYHV1lVqtts2vXEREREQUkF/ARz7yEQDuuOMOKpUKExMTeJ5HLpdjfHycIAio1+s0Gg0ikQiu67K2tkYymQQgCAIATp8+jbWWZrOJtZbR0dFwBHW/3+fxxx/n0KFDNBoNDhw4sG2vV0REREQ2qMTiu/jwhz9MvV6nVqvhOA7r6+s888wznDp1ikajwcjICJ7nUavVSKfTJBIJAFzXDSftOY5DNpul3W4zOzvLsWPHwu/3338/Tz/9dNgtQ0RERES2l7HWXvidjbnwO1+m7rjjDtLpNGNjY0xMTIRT9NLpNL1ej1OnTuF5HhMTE3S7Xay1zM/P0+v1SCaTtFotgiDgnnvu4Ytf/CK+7+P7fnhynwiAtda83MfQ8Spy0Txirb3x5TyAjleRi+aCjleVWLxEH/7whwH42Mc+xpVXXkk6nWbPnj10Op2wlVulUsFaS6FQoNfr0el0ADh16hTdbpejR4/ypS99idXV1XBVWkREREReG7SC/DL92Z/9WXjSXbvdptPphKOkU6kU8XicWq1Gv9/nzJkz+L7PV7/61fBypVLZ7pcgr0FaQRa5pGgFWeTScUHHqwLyK+Qv//IvwzKLpaUljh07xtmzZ1leXmbv3r1UKhVKpRJnzpzh+PHjmpgnL0oBWeSSooAsculQQL7YfuZnfoZPf/rTL3j7LbfcwokTJ1RrLN+VArLIJUUBWeTSoYAscqlSQBa5pCggi1w6Luh4VZs3EREREZEhCsgiIiIiIkMUkEVEREREhiggi4iIiIgMUUAWERERERmigCwiIiIiMkQBWURERERkiAKyiIiIiMgQBWQRERERkSEKyCIiIiIiQxSQRURERESGKCCLiIiIiAxRQBYRERERGaKALCIiIiIyRAFZRERERGSIArKIiIiIyBAFZBERERGRIQrIIiIiIiJDFJBFRERERIYoIIuIiIiIDFFAFhEREREZooAsIiIiIjJEAVlEREREZIgCsoiIiIjIEAVkEREREZEhCsgiIiIiIkMUkEVEREREhiggi4iIiIgMUUAWERERERmigCwiIiIiMkQBWURERERkiAKyiIiIiMgQBWQRERERkSEKyCIiIiIiQxSQRURERESGKCCLiIiIiAxRQBYRERERGaKALCIiIiIyRAFZRERERGSIArKIiIiIyBAFZBERERGRIQrIIiIiIiJDFJBFRERERIYoIIuIiIiIDFFAFhEREREZooAsIiIiIjJEAVlEREREZIgCsoiIiIjIEAVkEREREZEhCsgiIiIiIkMUkEVEREREhiggi4iIiIgMUUAWERERERmigCwiIiIiMkQBWURERERkiAKyiIiIiMgQBWQRERERkSEKyCIiIiIiQxSQRURERESGKCCLiIiIiAxRQBYRERERGaKALCIiIiIyxHuJ918FzrwaGyIioSteocfR8SpycbwSx6yOV5GL44KOV2OtfbU3RERERETkkqESCxERERGRIQrIIiIiIiJDFJAvImNM41V4zD3GmH/xIrc99Uo/p8jlyhgzboz5T8aYZ40xjxhjvmGMef82bMdpY8zoc677pjHmMWPMWWPMyublx4wxe17C477NGPOmoX9/yhjzvlduy0UuHmOMNcb8h6F/e5vHxt+/xMf5juPtQu9jjMkZY/7KGHNy8+uvjDG5C3jOXzbGJF/Kdj7n5683xvzY9/rz8t0pIF/69gDPG5BF5MIZYwxwF/A1a+0+a+0NwE8D089z35d6gvPLZq19o7X2euA3gb+x1l6/+XX6OdvmvsjDvA1404vcLnIpaQLXGGMSm//+UWDuIm/D/wM8a63db63dD5wC/u8L+LlfBr7ngAxcDyggv4oUkLeBMeatxpivGGP+1hhzxBjzHzc/nLd+S/24Meahza8rN6//C2PMTw49xtZq9P8GvGVzJel/fJHn/DljzF3GmLuNMaeMMf+dMebfGGMeNcY8aIwpbt7vQ8aYbxljHjfG/H9bv+EaY/Zv3u9bxpiPDq+GG2N+ZfP6J4wxv/3K7zGRi+JtQNda+4mtK6y1Z6y1fwzhMfSfjTF3A/eYDX9gjHnKGPOkMeanNu/31uEVLGPMnxhjfm7z8mljzG8bYw5t/szBzetHjDH3bB6PdwDmQjd6c9WsYoz5HWPMQ8DNxphzxpj85u1vMsb8szFmP/DfAL+y+X7xg5sPcasx5oHNVfOLvlou8jL9I/Duzcs/A3x66wZjTHHzc++Jzc+vazevf8HjzRjzs5ufvY8ZY+54sV84Nz+fbwA+NnT1R4EbNz8zn/e9wBjz3wO7gHuNMfdu3tYwxty++d7wJWNMafP6rxhjbty8PLr5HhLdfJ6f2tzOn/red5+8EAXk7fMGNn6DfD2wD/ihodtq1tqbgT8B/vC7PM6vAfdtriT979/lvtewsdp8M/DvgJa19g3AN4D/evM+n7XW3mStvQ54BvjXm9f/EfBH1tqbgPmtBzTGvAO4avMxrwduMMb88HfZDpHXou8DDn2X+7wZ+JfW2rcBH2Dj//nrgP8C+ANjzOQFPM+qtfYHgP8L+J82r/tfgfs3j8e/A2Ze4rbngEPW2puttd94vjtYa0+ysbL1B5vvFw9s3jTGxvvP+4Dfe4nPK7Ld/hr4aWNMHLgW+ObQbb8NPGqtvRb4CPBXm9c/7/FmjHkd8FPAD23+tWYA/Fcv8tyvBx6z1g62rti8/Bgb7yfPy1r7f7DxOXqrtfbWzatTbBzDPwB8dXMbX+jnu5z/l6S/eZFtlO+RAvL2echae85aG7BxMO0Zuu3TQ9/f/Ao+573W2rq1dgWoAndvXv/k0PNfY4y5zxjzJBtvDFsH+ZuB/7x5+T8NPeY7Nr8eZSNcHGQjMItc0owxf7r5l5RvDV39T9ba9c3LtwCfttYOrLVLbHyo3XQBD/3Zze+P8O3j7oeBTwFYa/8BKL/Eze0Cd77En9lyl93wBDD1PT6GyLbY/P92Dxurx59/zs23AP9h835fBkbMRn3wCx1vb2djRfhbxpjHNv+970We3gDP1yv3ha5/MQGwFXQ/tbntso0ueh2dhDpDlwec/9/CPs/lPpu/0GyWY0Rf5nMGQ/8Ohp7/L4D3WWsf3/yz8Fu/y2Ma4PestXd8D9sj8lryNPDBrX9Ya/9bs3FSzsND92kOXX6hMojwWN0Uf87tW8fdix33L1Xbnt/Ufngbnvv8zzX8vnDBpR0iryF/B/x7Nj6vRoauf77/n+1zvg8zwF9aa3/9Ap/3aeANxhhnc7ELY4zDxl+VngEmePH3ghfzHZ/9L/Hn5WXSCvJr008Nfd/6c+lpNn6zBXgvENm8XAcyr+BzZ4AFY0yE8/+09CDfDg8/PXT9F4F/ZYxJAxhjpowxY6/g9ohcLF8G4saYXxi67sVOovkaGzWA7ma94A8DD7ExDe31xpjY5mrV2y/gub/G5vFmjLkNKHwvL2DIab79fvHBoetf6fcLkdeC/xf4qLX2yedcP3xcvZWN8qYaL3y8fQn4ya3PsM0a5hecumatPcHGX09/Y+jq32CjVOIEL/5e8Nxj0QG2zjP6F8D9m5dP8+1j+SeH7q9j+VWmgPzaFDPGfBP4H4CtE+/+HPiRzZNw3si3V7KeAPqbfwp+wZP0XoL/hY0arn8Cjgxd/8vAv9l8/kk2SjSw1t7DRsnFNzbLMv4WHbRyCdpcgX0fG8fZqc3/1/8S+NUX+JE72Tj+HmcjXP/P1tpFa+0s8JnN2/4jGx+g381vAz9sjDnERsnS2Zf1YuC3gP/TGHMfG+UXWz4H/JebJyf94PP+pMglZrNc8Y+e56bfYuOEuSfYOKH9X25e/7zHm7X2MBsB957Nn/knNj7vXsy/Bq42xpwwxpwErt68ju/yXvBnwD9unaTHxmf69xljHmHjhOGPbl7/74FfMMY8AAy3mbuXjfCtk/ReJRo1/RpjjDkN3GitXd3ubRlmNrpZtK211hjz08DPWGvfu93bJSIicqkzxjSstent3g75NtUgy4W6AfiTzfrnCvCvtnl7RERERF4VWkEWERERERmiGmQRERERkSEKyCIiIiIiQxSQRURERESGKCCLiIiIiAxRQBYRERERGaKALCIiIiIy5P8HJqocQKEU+W8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.2940883934497833\n",
      "Accurary: 1.0\n",
      "Dice coefficient: [1.0, 1.0, 1.0]\n",
      "Sensitivity: [1.0, 1.0, 1.0]\n",
      "Specificity: [1.0, 1.0, 1.0]\n",
      "Gradient min:-0.2530762553215027, max:0.27344968914985657\n",
      "\n",
      "-----------<Summary for Epoch:5>------------\n",
      "Mean Accuracy: 0.9943005442619324\n",
      "Mean Dice coefficient: [0.88157608 0.8855331  0.82757411]\n",
      "Mean Sensitivity: [0.91056955 0.92500811 0.86632507]\n",
      "Mean Specificity: [0.9993617  0.99953424 0.99878458]\n",
      "------------------------------------------------\n",
      "\n",
      "Compute time per epochs: 2.01 mins\n",
      "\n",
      "Epochs  6\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.23470821976661682\n",
      "Accurary: 1.0\n",
      "Dice coefficient: [1.0, 1.0, 1.0]\n",
      "Sensitivity: [1.0, 1.0, 1.0]\n",
      "Specificity: [1.0, 1.0, 1.0]\n",
      "Gradient min:-0.04786241054534912, max:0.06034312769770622\n",
      "Compute time per epochs: 0.58 mins\n",
      "\n",
      "Epochs  7\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.21778050065040588\n",
      "Accurary: 0.9948437213897705\n",
      "Dice coefficient: [0.93461204, 0.8848921, 0.9512894]\n",
      "Sensitivity: [0.933797910561012, 0.8561484952169722, 0.9540229887459614]\n",
      "Specificity: [0.9993511731492036, 0.9994052720881238, 0.9982221743349815]\n",
      "Gradient min:-0.049618739634752274, max:0.05620848760008812\n",
      "Compute time per epochs: 0.58 mins\n",
      "\n",
      "Epochs  8\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.1587895005941391\n",
      "Accurary: 1.0\n",
      "Dice coefficient: [1.0, 1.0, 1.0]\n",
      "Sensitivity: [1.0, 1.0, 1.0]\n",
      "Specificity: [1.0, 1.0, 1.0]\n",
      "Gradient min:-0.02650495618581772, max:0.022668369114398956\n",
      "Compute time per epochs: 0.58 mins\n",
      "\n",
      "Epochs  9\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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BQPl8XqlUSs45hWGotbW1Eb+iAAAAu4uAfJutr69rfX1dhUJBmUxGS0tLeuqppzQ2NqZHHnlEU1NTevjhh1UqlVSr1dRqtRSGofbv36/HH39cDzzwgIIgUKlUSrpIVKtVOeeSeYk7nY6CINDhw4d1/Phxtdvtq2aqyGazMhuuVNzr9bS+vq4LFy5ofn5e586d02Aw0PT0tJaWlnTx4kUtLy+r0WioXC4ny1EvLCyM8mUEAAAYGQLybbawsKBSqaTZ2VmVy2XVajU988wzSXeJbrcrSVpeXlYqldKjjz6qQ4cOKZVK6Z577lGpVNJgMFAul0tmk4hbgXO5nNLptHK5nFqtloIgUC6XUz6fV6/XS7pVBEGgbrerfr+varWqCxcu6PTp0zp//rza7bYymYwWFha0urqqarWqRqMh55wKhYIuXLgwypcPAABg5AjIt9m5c+fUarV04sQJTU9Pa21tTSsrK6pUKmq329rZ2VGr1dLS0pLCMNTx48d18uRJ1Wo1mZm63a7CMFS5XE5ageP5jFOplEqlUjKFWxiGajabydLU3W43Ocfm5qba7bbOnDmj73znOzp79qzW1taSVul6va7t7e1kKjjnHOEYAABABOTbrlqtJq3EGxsbWl9fTwJoq9XSzs6Otra2khktlpaWdPToUTWbTYVhqPHx8WQ6tnju4SAIkm4UlUolKXfOaXt7W2EYJsff3t7W6uqq1tbWVK/X9fWvf11ra2va2trS1taWBoNBMr1b3C0jDs0AAAAgIN92CwsLOnr0qC5duqT19fWkVXdjY0NLS0vq9/tqtVrq9XpaWlrSqVOnkoCbz+c1PT2dtCTHs0gUi0W1Wi0VCgXl83mZmer1usxM7XY7mb84Dt0rKyuq1WpaW1vT6dOn1e/3VSwWk2AcLw6Sy+WSKeA2NzdH/MoBAADsDQTkO6DT6aharWpjYyPpL5zJZJTJZFSv15N9ms2mvvWtbyUhuN/va2JiQqVSSaurqwrDUMViUZOTk+p0Osrn89ra2pKZaWNjQ4PBIJndol6vJ32K4xk01tbWtLGxkQTwwWCQrI4Xz6axuLg44lcLAABgbyEg3wHValUHDx5M5hJutVqq1WoKgkBbW1sqFAoKgkC9Xk+bm5u6cOGCSqWS6vW6SqWSxsfHtbq6qm63q1wup8nJSfX7fWWzWU1MTEiStra21Ol01Ov11G63k24bjUZDg8FAZqZGo5EE4njfOCyvr6+P+FUCAADYmwjId0g8f/Dx48clDadbq9VqajabGhsbk3Mu6e6wvLysXC6ndrutQqGgZrOpZrOpVqslSRobG5OkZDW7uE9yPN1bPINFr9dLVsPL5XLJQiHxvMZmpu3t7RG8GgAAAHcPAvIddv78eY2PjyczT8TBNl7hLm5h7na7yT47OzvqdrtqNptyzimTySTLSO/s7CQzWMQt1EEQKAzDq5aXjudMTqfTSqfTunz58ihfBgAAgLsGAXkXmFkyf3E2m03CcDy/sb8stHNOnU4nGciXTqfVbrfVbDZVLBaTZanjhUjMTGEYqtfrJf2c44VCnHNaXV0d9dMHAAC4qxCQd0E8MO9mHDp0KAm48bzHcYtzq9XS5OSkxsbGtH//fnW7Xa2trSVdKlZWVu7gswAAAPjuQEDeY5aXl6+6XyqVkhkntra2tL29rVKppCAIND8/P6KrBAAAeO0iIO9xly5dum45q94BAADcGalRXwAAAACwlxCQAQAAAA8BGQAAAPAQkAEAAAAPARkAAADwEJABAAAADwEZAAAA8BCQAQAAAA8BGQAAAPAQkAEAAAAPARkAAADwEJABAAAADwEZAAAA8BCQAQAAAA8BGQAAAPAQkAEAAAAPARkAAADwEJABAAAADwEZAAAA8BCQAQAAAA8BGQAAAPAQkAEAAAAPARkAAADwEJABAAAADwEZAAAA8BCQAQAAAA8BGQAAAPAQkAEAAAAPARkAAADwEJABAAAADwEZAAAA8BCQAQAAAA8BGQAAAPAQkAEAAAAPARkAAADwEJABAAAADwEZAAAA8BCQAQAAAA8BGQAAAPAQkAEAAAAPARkAAADwEJABAAAADwEZAAAA8BCQAQAAAA8BGQAAAPAQkAEAAAAPARkAAADwEJABAAAADwEZAAAA8BCQAQAAAA8BGQAAAPAQkAEAAAAPARkAAADwEJABAAAADwEZAAAA8BCQAQAAAA8BGQAAAPAQkAEAAAAPARkAAADwEJABAAAADwEZAAAA8BCQAQAAAA8BGQAAAPAQkAEAAAAPARkAAADwEJABAAAADwEZAAAA8BCQAQAAAA8BGQAAAPAQkAEAAAAPARkAAADwEJABAAAADwEZAAAA8BCQAQAAAA8BGQAAAPAQkAEAAAAPARkAAADwEJABAAAADwEZAAAA8BCQAQAAAA8BGQAAAPAQkAEAAAAPARkAAADwEJABAAAADwEZAAAA8BCQAQAAAE/mFvevSbp0Jy4EQOLe23Qc6iuwO25HnaW+ArvjpuqrOefu9IUAAAAAdw26WAAAAAAeAjIAAADgISDvIjPbuQPHnDOzH7/Btm/d7nMCr1VmNmNmv2lmF8zsG2b2ZTN79wiu46KZTV9T9hUzmzezBTOrRrfnzWzuFo77uJm9zbv/KTN71+27cmD3mJkzs1/37meiuvE/bvE4L6pvN7uPmY2b2SfN7Hz075NmNn4T53y/mZVu5TqvefybzOzPvdLH4+URkO9+c5KuG5AB3DwzM0mfkfQl59z9zrm3SHqfpHuus++tDnB+1Zxz3+ece5Okfyzpt5xzb4r+Xbzm2tI3OMzjkt52g+3A3aQp6Q1mVozu/1lJi7t8Df9J0gXn3HHn3HFJz0v6jzfxuPdLesUBWdKbJBGQ7yAC8giY2WNm9odm9jtmdsbMfiP6cI7/Sv0XZvbV6N8DUfknzOw93jHi1ugPS/pTUUvS377BOX/SzD5jZp8zs+fN7G+Y2c+a2TNm9kdmNhnt99fM7Gtm9qyZ/bf4L1wzOx7t9zUz+5DfGm5mPxeVP2dmH7z9rxiwKx6X1HPO/Upc4Jy75Jz7N1JSh37bzD4n6Qs29BEz+5aZnTaz90b7Pea3YJnZx8zsJ6PbF83sg2b2zegxD0XlU2b2hag+flyS3exFR61mdTP7Z2b2VUmPmtkVM9sfbX+bmf0fMzsu6a9K+rno/eL7o0O808xORa3mu95aDrxKn5f056PbPybp0/EGM5uMPveeiz6/3hiVv2R9M7O/HH32zpvZx2/0B2f0+fwWSf/UK/6QpLdGn5nXfS8ws78p6bCkL5rZF6NtO2b2L6P3ht83swNR+R+a2Vuj29PRe0guOs97o+t87yt/+fBSCMij82YN/4I8Kel+ST/gbdt2zj0q6WOS/vXLHOfvS3oqakn6Vy+z7xs0bG1+VNI/l9Ryzr1Z0pcl/ZVon991zj3inHtY0p9I+umo/KOSPuqce0TSUnxAM/thSQ9Gx3yTpLeY2Tte5jqAveh7JH3zZfZ5u6SfcM49LukvaPg7/7CkPyPpI2Z26CbOU3POfa+kfy/p70Rl/0TS01F9/KykY7d47eOSvumce9Q59+Xr7eCcO69hy9ZHoveLU9Gmgxq+/7xL0i/e4nmBUfsvkt5nZgVJb5T0FW/bByU945x7o6R/KOmTUfl165uZvV7SeyX9QPRtTSDpL93g3CclzTvngrgguj2v4fvJdTnnflnDz9F3OufeGRWPaViHv1fS/42u8aUe39PV3yT91g2uEa8QAXl0vuqcu+KcCzWsTHPetk97P99+G8/5RedcwzlXlbQl6XNR+Wnv/G8ws6fM7LSGbwxxJX+7pN+Obv+md8wfjv49o2G4eEjDwAzc1czs30bfpHzNK37SObcR3f5BSZ92zgXOuVUNP9QeuYlD/2708xt6od69Q9KnJMk59z8lbd7i5fYk/d4tPib2GTf0nKQjr/AYwEhEv7dzGrYe/69rNv+gpF+P9vsDSVM27B/8UvXthzRsEf6amc1H9++/welN0vXmyn2p8hsJJcVB91PRtWOEdr0fHRJd73agq/8v3HVuDxT9QRN1x8i9ynOG3v3QO/8nJL3LOfds9LXwYy9zTJP0i865j7+C6wH2kj+W9KPxHefcX7fhoJyve/s0vdsv1Q0iqauRwjXb43p3o3p/q9ru6knt/Wu49vzX8t8XbrprB7CHfFbSL2n4eTXllV/v99ld89Nnkn7NOfcPbvK8fyzpzWaWihq7ZGYpDb9V+hNJs7rxe8GNvOiz/xYfj1eJFuS96b3ez/jr0osa/mUrST8iKRvdbkiq3MZzVyQtm1lWV3+19Ed6ITy8zyv/35J+yszKkmRmR8zs4G28HmC3/IGkgpn9jFd2o0E0X9KwD2A66i/4Dklf1XA1tJNmlo9aq37oJs79JUX1zcyekDTxSp6A56JeeL/4Ua/8dr9fAHvBf5b0Iefc6WvK/Xr1mIbdm7b10vXt9yW9J/4Mi/owv+Sqa865cxp+e/rzXvHPa9hV4pxu/F5wbV1MSYrHGf24pKej2xf1Ql1+j7c/dfkOIyDvTXkz+4qkvyUpHnj3HyT96WgQzvfphZas5yQNoq+CX3KQ3i34Rxr24XpS0hmv/P2SfjY6/yENu2jIOfcFDbtcfDnqlvE7otLiLhS1wL5Lw3r2fPS7/muS/t5LPOT3NKx/z2oYrv+uc27FOXdZ0n+Ntv2Ghh+gL+eDkt5hZt/UsMvSwqt6MtIvSPp3ZvaUht0vYv9d0l+MBid9/3UfCdxlou6KH73Opl/QcMDccxoOaP+JqPy69c059/80DLhfiB7zpIafdzfy05JOmNk5Mzsv6URUppd5L/hVSZ+PB+lp+Jn+PWb2DQ0HDH8oKv8lST9jZqck+dPMfVHD8M0gvTuEpab3GDO7KOmtzrnaqK/FZ8PZLNrOOWdm75P0Y865Hxn1dQEAcLczsx3nXHnU14EX0AcZN+stkj4W9X+uS/qpEV8PAADAHUELMgAAAOChDzIAAADgISADAAAAHgIyAAAA4CEgAwAAAB4CMgAAAOAhIAMAAACe/w8VYDe8p+Am+QAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.15841646492481232\n",
      "Accurary: 1.0\n",
      "Dice coefficient: [1.0, 1.0, 1.0]\n",
      "Sensitivity: [1.0, 1.0, 1.0]\n",
      "Specificity: [1.0, 1.0, 1.0]\n",
      "Gradient min:-0.06510692834854126, max:0.07697492092847824\n",
      "Compute time per epochs: 0.58 mins\n",
      "\n",
      "Epochs 10\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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iOIYsyzhx4gRUVYWqqqhUKlgsFrAsC51OB+VyGZZloVKpYGVlBcVi8Y4ZYXHZTvQHi2YK13WRpilM00SlUqENe+IC3Hw+p3DbaDRQKpWoyUKMQIhTabHUQ7wWsVhEXOAT4x+iUm46nSIMQziOg3a7DcMw6LKdqqqo1WpQVRXj8Ribm5uYz+colUrY3t6mAA7crr/b3t7GeDxGoVBAmqaYTqd3XCaMoohOtuv1Ov3AYJomfud3fud43mDGGGOMfeDxCfJd8uUvfxn/8R//gTfeeAO2bdOFuXa7DcuyKFymaYo4jlGv13H+/HnUajW89dZbAIBqtQpd13F4eIjBYIB6vQ7LsrC0tARJkuB5HoVVEcJ1XafOZMMwEIYhhsMhzTSLvuSjVXGiB7lcLtOoQ5qmyPOcTn5VVYWmaXRSbNs2CoUCwjDE3t7eHeuqxXOKk+R+v49ut4swDJHnOXUcr6+vo1qtYjabYTQaYTQawbIs2rYnLvuJk+Q4jhEEASaTCS0ksW0bnufBdd1je68ZY4wx9sHGAfku+fd//3eqcptOpwCAZ555BqdOnaJVzcPhEOPxGPv7+wiCAIZh4Nlnn8Vv/uZv0qrol156Caqq4p//+Z/xqU99Cs1mEw8++CCNVQRBQOMX5XIZsixDlmWqbgOAWq0GWZZpVMGyLLRaLRSLRRrp2NrawsbGBvI8h+d5sCwLtm3T82uaBkVRMJ/PUSgUKFyvrKwgz3Ps7Ozg2rVrkCQJcRxTE0Ucx1hdXcXKygocx4GiKHAch5abHB4eUp/z/v4+Lly4QMFXdD7v7Oyg1+uh0WhgaWkJN2/exN7eHh588EHU63Wsrq7CdV380R/9ES5evMjLRRhjjDH238IB+S4RF/LEIo6TJ09iaWmJxiUsy0K/38fXv/51JEmC9fV1PP7441Sp5nke5vM5Tp8+Td3EnU4Hq6urOHXqFJaXl6FpGp0W7+7uYjQa0QU78TylUolq3qbTKY0pAKBxiCAI4LouyuUyzUpblgUAtDgkCAI6NS6VSrQVTwTxdruNtbU1dLtdBEGAcrmMBx54gBozxOyzmCmuVCpI0xRpmlKzxfLyMk6ePIk0TTGbzeD7PrIsQ6vVotPx6XSKfr9Pi0ySJEEcx1AUBc1mE0899RQajQZefPHFY3vvGWOMMfbBwgH5Ltne3qbFGWfPnkW73Uae53Qpbjwe48aNG+h2u5BlGWfPnkWz2aTTXlmWMRwOsbKygkqlAtM00W638dxzz2FtbQ2DwQA7OzvY2trCe++9h8uXL0OWZSwtLdGYhVgiYts2DMNAu91GoVBAEARUlybq19bX16FpGgBQ9ZrY7idOn3VdR6lUQrVaheM4CIKAArdYZV2tVlGtVgHcDteapqHf7yMMQ6qUUxQFq6urcBwHpVIJnufB930YhoFarUYXDeM4hmma6HQ6AG7X33meh36/j6WlJRiGQctPBoMBdF1Ho9HAdDrFU089hddee+3Y3n/GGGOMfXBwQL5LRFtDpVKhzmAROLvdLvr9Pvr9PkzTxMmTJ/HAAw9AURQsFgu0222cPHkStm0jiiLEcYxTp05B13UoioJvfetbePHFF/H6669D0zSsrKwAAFW7iWYJcboqFoI0m0089NBDWFtbQ7lchqqqtEBEVMOJ1ynCcJIkNOMrtuSJGWTgdmgtl8vY29vDcDhEmqa0ec/3fWrIEI0VeZ4jz3M88sgj0HUdhmFQSBeXABVFwXA4hCzL1G5h2zZc18VgMMB0OkW73aa5atHqIUkSkiRBr9dDFEV3+y1njDHG2AcUB+S74OGHH8ZkMkGhUIBpmoiiCK7rYmNjAwBw7do1TKdTCp6lUokWdxytT3Ndl+ZrgyDAq6++it3dXVy5cgWu6+Lhhx+mOd3RaARVVeni32KxoH7k+XyOwWCAd999F9/73vdg2zbW19fx9NNPo9ls0jrooy0ZwO3gKU6VNU2jpSTAf23b03UdsizDsiy6FBgEAbIsozYKABTCxX+LddWKoqBer+PcuXNIkgSz2Yy6mSVJohN3sWL78uXLtKFPURTEcUyn21EUIc9zGIaB1dVVtFotXL9+HdeuXbubbz9jjDHGPmA4IN8FohqtVquhXq8DALVDhGFIrQ4HBwd3XKgTIwmlUgmlUgmVSgWtVgt7e3v4m7/5GwyHQ6o4E6MNnueh2+3SifBwOKQWisFggJWVFepAbrVadPEuTVN0u10Mh0MYhoFCoQBN0yhoimYM0zTpJDsIAqqME2uup9MpgiBAHMdwHIc6m4vFIizLwuHhIfI8p0t+aZoiCAJMp1NYlkUz2SsrK9SuIbb3iZEUx3GwublJncqtVguu61IlnSRJAEABv1qtolwuw/M8JEnCAZkxxhhjvxAH5Lsgz3NYlgVJkmgswjAMmttVFAWyLEPTNMRxjPF4jPF4jOFwCEVR8PDDD+OBBx4AALzyyiv4p3/6J+zs7EDXdQDAeDymtggxSlCv16GqKmzbxnA4RBiGCMOQRhzEaIOob4uiCHt7e1QzJ9olxMY+APT3idCsKAoqlcods8ej0QhBEKDRaNAYhThZFq0ZIgRrmkafE13XMZ/PMZvNYJomHMeBruu0SjuOY6p5C4KA1mtfuHAB/X4fhUIBcRzfsRFQPH+5XEapVIJpmjQ//dOf/hSz2exufykwxhhj7AOAA/JdcOHCBVSrVSwWC1QqFSwtLaHT6aBeryPPc6yvr2OxWMDzPEiShOFwiG63i5WVFTQaDbRaLQDAd77zHfzVX/0VRqMRFosFDMNAsVik4CjGFTRNQxiGSNOU1leLTX1iBbToRRYNGr7vY3Nzk1o2dF3HeDymDX71ep1GP+I4pr+/VCqh1Wqh2+0iz3MUi0UUCgUUi0UoigLf96FpGubzOUzTRKPRQK/Xu2O7nqi5O9oDHYYhkiSBZVmQZfmO7Xy+70PXdTiOQ+EbABzHAQDqSnYch069xey2ZVk4d+4cfN/Hz372s+P5gmCMMcbY+xoH5Lvg2WefhWmaSJKEWijm8zmFRzE7W61WKRxalkWrlBVFwb/927/hi1/8IiaTCdI0haqq9JxiFCGOY1QqFVQqFUynU1oLrSgKGo0GzR63Wi3M53PU63XM53Ma6ZBlGdVqFYVCAa1WC7qu0xiF+Lc4eRZzwOIkWZIkOilP05Q+NrFeOgxDLC0toVwuI4oiyLJMi0JEWBbbAMUSFbGUBLhdQQcAcRzTHLJYhhLHMcrlMl14FGMpouUCAJ2Uq6qK1dVVOqW+fPkyBoPBsX1tMMYYY+z9hwPyXeD7PoXPRqNxx+ztaDSiUYooirC1tYWHH36YttBJkoRer4d/+Id/oJlj0WccxzGSJLkjKGuahsVigTAM0Ww2kSQJLQCp1+u4cOECjS7U63UMh0PqQZ7NZoiiCKqqotFoAAC2trawv7+PGzdu4MaNG8jzHLVaDZ1OB6qq4uDgAL1eD5VKBaVSiUY85vM5FEW5Y944CAJsbW3RCXOapnAch0KvaNcAQCMnWZZhPp/TKThwe2RD/FARhiF1IHueh8ViAU3ToGkaJpMJPXexWKTxFlmW0Wg08OSTT8J1Xe5IZowxxtgdOCDfBRcvXkSn08FoNML169cRhiEURaHFIbPZDP1+nwLyfD5Hs9lEu91GrVZDlmW4efMmBc5KpUKX4Hq9Ho0viBGINE3RbDZRKpUA3D49XVtbw4MPPoidnR06bfU8D5VKBYVCAd1ul2rnFosFDg8PcXh4iNFoRK+r3++jWCzSopO1tTU0Gg2YponpdEqnxvV6HY7jYDabIQxDGIZBYbfVaiHPc/i+j/39fViWRS0ZQRDA932Uy2W6IKgoCgDcUQtXqVRo1ELTNHpNrutieXmZupEHgwHW1tZgWRaSJKGLgOJjjKII5XIZH/3oR9FsNvGtb33reL5AGGOMMfa+wgH5LvjhD3+IEydOYHV1larOfN+n9gjg9imzCJNpmqLVaqHRaMB1XXzpS19CpVK5Y7GIJEmIoghpmlJbg7j8J8syXXjzfZ9Oi7Msw/LyMoVu3/dRr9dpznd/f59mk1VVhaZp1J0chiF0Xac2izAMqeJtsVjQLLOu6xTSxRpqAPA8D6qqolarYTqdUouGeC7RDy0u8oVhSC0YeZ5Tn7MIu6L6Lcsy+jPitFgEcDGLLUkSfN+nURJxSdC2bWxtbWEwGGA4HGJ9fR2bm5vH80XCGGOMsfcNDsh3gZj/vXjxIvI8hyRJND/rOA6daAK3+4Qff/xxnD17Fo1GA7qu45VXXkGtVqPTX9/3USwWMZ1OabxCjA6I1gqxiW40GlHAFGMT4vQ6SRJ0u10AoOYKETjF42ezGVXO2baNg4MDFAoFCtVZlqHZbELTNFryIVotxGiD2OCX5zkGgwHG4zFc14VlWdSkIQK5GD0Rox7A7Y5kUSEH/NdmP1VV6aKfOGnWNA2maSIIAhr5yLKMtvbJsgxJkjCbzTAej5EkCYbDIcbjMcrl8t3+0mCMMcbY+xAH5Lvg6aefxuuvv46DgwMUi0U88MADdIFMnMiK1oX5fI6PfexjtAb66tWrGI/HCMOQOoXFSShwu85tNpvRZTTLsgDcDopi85zv++h2u6jX6xQoxcU7EdSLxSIqlQoFVEVRUCgU4DgODg4O0Gg06AKdqqo0/iG26c3nc+pEPvr6fN+nRSdis12WZZhMJphOp3TyLEKyLMsoFou0dU/U44mPSZx6B0FAYxii/1iEbdF60Wg0KASLNg9xoiwC+crKCvI8R7/fx97eHjqdDvb39+/2lwhjjDHG3kc4IN8Ff/u3f4tisYjV1VV87GMfw3PPPQdN0+j/3heBVZZlPP744zSK4bouVZH1ej0UCgVMJhPIskzBU5ziiho5sUGvWCzSqbRt2zTDKy63iao413Vp7EOER9d1KUy6rotyuYxmswnbtmHbNl3WE/89mUxoW16SJDS+IMK/CL7i9LxcLtNSEzFCkWUZ0jSl02vTNKnhQnxuxJiJ53l0Yi5CtFiBLf4O8YOCqLUTr0uEadu26cS4VqtBlmW89tpruHTpEs6dO4crV67c7S8TxhhjjL1PcEC+SwzDwHPPPYdHHnmEAmOn08EDDzwATdOotk0EQAAIwxCDwYDCriRJmM/ncF2XKtFEDdr6+jqdhIrFH+Ly3smTJ1Gr1WCaJgAgyzIAt5smxIa70WiE2WwGRVHgui6dMIvXLk5+xSlut9tFpVKBoijQdR2+79OpsehRBm7PJ9u2TW0U4qRYPOfRf6Iowmw2o2AvxjXEVj9RI9ftdtHpdCjUi6Ar2i3EqThwOwjP53P6wULU0UmSRP3MYpHIk08+id3dXWxtbd2NLwnGGGOMvU9xQL5Ler0eTpw4gXa7DVmWqeO4UCjQZjtd16mtwjRNGlfQdZ1q0TRNA/BfvcCiL3g8HkOWZZTLZSwWCxrLOHXqFDU5iCUfYnyhWCzS1j5ZllEqlf63mrX5fA7LshCGIYIggG3bUBSFPp7xeIx2u43hcEgXDsUlPXGJMM9zmkEWlwrFKAVwO0SL3xOX8cTziPlp0YkstgOKzXnT6ZS6mE3TpHGNIAjgOA7NOYvTbDFPXSgUIMsyfe43NzdhmiYeeOABjEYjLC0t8Upqxhhj7D7FAfku+vGPf4w8z9FqtaiLF7gdEMXYhGhhmE6nMAwDWZZhe3sblmXRHG2SJJhMJhgMBpAkiTqA4zhGo9HAcDhEnucol8tYWlqC67pUsxZFETzPg67rqFar6PV61DAhmiREO4RosKjX60iSBFtbW/S42WxGjxPb9xaLBdI0pYYNMWM8n8/p+UQvsizLNAYhniMMQxrbEKuooyiif6dpCsuyqAO6UCjQRUKxZEU8V5Zl1DMt+qHDMKSPfTqd0hiIqHxTFAXr6+sYDoe4devWMX6lMMYYY+w4cUC+i775zW9ie3sbpmnCMAw88cQTWF1dRbFYRLFYxM7ODq5cuQJd13Ht2jWcP38eruui1WrRDLIsyzRLK05eHcehy3K+71Mjg6qqVCV39PRWVVU6ZbUsC/P5HOPxGIPBAKqqolAo0MU6MdowHo9x/fp1mKaJQqFA4xBi2x4AqnjTdZ0WkIg1z2I1dRiGkGWZRiHEiIau6xRsRZWdEMcx0jSl1di/YNaFAAAgAElEQVR5niMIAui6jkajAUmSUCwWIUkSDg8PqRs5TVMcHBxA13WUSiVkWYbRaIT5fI7pdIpCoYDFYkFtIaL+rVqtYmdnBxsbGxyUGWOMsfsQB+S7bHt7G1mWQVEU7O7uolqt0iKNNE1x/fp11Ot1nD17Fuvr6zh//jwuX76MV199lVYyK4pCJ6GFQoFOTUV9Wb1eR7lcxuHhIS3rEGMKw+EQw+EQURTRmubFYkENFPP5nMY4VFWlOefxeAwAcBwHjuOg2+1if38fmqbR6IYYfxCB3LZtALdnicMwRLVapfEJsdpahNnZbAbHcej3xcckyzKdDIuFIuIyYZqmME0Ty8vLUFWVPq+VSgWyLGMymVBbhQj2YmRjMpnQTLeokJvP53AcB5qmwbZtutDHGGOMsfsLB+S77ODgAGfPnqWgePXqVRiGAcMwIEkSptMprYbOsgyrq6v43Oc+h3feeQe7u7s0YyxGEcRownw+p4UhmqZRQ0Sr1YLjONRiEccxJpMJkiTBwcEB5vM5lpeX6Xm73S6iKKKFI2I0wjAMrK6uwrIsDAYD+L4PSZJoHlj0JQO3N+KJ0Q/f96mpQsw5R1FEv9Y0DeVyGaPRiFopxGgHcLt1Q1VVCrYAaImIGMMolUoIgoA25YlZaPFnNE1DHMfQNA2NRgOVSgXb29u0SdBxHIzHYzphF53O4ocCxhhjjN1fJBFqfqkHS9Iv/2D2C73wwgt48skn8dJLL+HKlSuoVqu06W4wGGB1dRWPPvooPvKRj+Dxxx+Hbdv4yle+gq9+9avodDro9XoYDodUVyYu9Y1GI2RZhnq9jnq9jsFggHa7TSG4UCig1+thNBqh1+vRimrbttFsNpGmKRzHAQBqthDEfPSlS5dw9epVLBYLLC0t4fTp02g0GhTsoyhCoVBAuVymxSK6rqPX61EAHo/HsG2bFoaIeWvP85CmKWzbpraJer1OjRWLxYI2/on10rVaDZVKBa7rQtd1eJ5HP2iMx2NMp1OaRxbtHEdPycXCFk3T6HVtb2/j9ddfh+/76Pf7d/3rI89z6Vd9Dv5+Zeyu+Ume50/+Kk/A36+M3TW/1PcrnyAfkxdffBEvvvgi/Xez2US324Wu65jNZrTy+PDwEDs7O/jEJz6Bz372szhx4gT+8i//EufOnYPv+zRLnCQJhT9FUaBpGmq1GlW2HRwcUKB1HIeaHBaLBRaLBYbDIQ4ODpBlGdbX17GysoLFYoF+v4/ZbIZSqYRCoYBut0vdxr7vAwBtsUuSBL7v0+mvGNEQlXPiNDhJkju6mfM8p3EGsY1P0zRUq1UAwGAwwGw2o1Abx/Edp8liFjqKIjiOg2KxiEKhQFsEB4MBLTLxfR+madKa6+FwSLPPYk5ZzDc7jnPHDwiMMcYYuz9wQH6feOeddwCAtr5lWYbLly/j6tWruHXrFq5fv45f+7Vfw+/+7u/imWeewbPPPoszZ85geXmZNvFZloVyuYwwDFGv1/HQQw9hMBhgNBohDEOUSiVUq1XYto0gCNDv97G9vY29vT30ej0cHBwAAK5cuYJHHnmEWh/EDLFhGHjrrbdoPXa9XqeNdYZh0IVAsdZ5NBqhUqlgOp3C8zzIsowwDKm72HEcGjUR88JJkqDX69ElwziOMZvNqD85yzJaOiKIDmVxsU+0agRBAN/36eMXM9ZiPbdlWWi32xgMBjSWIV6jaPYQJ+6MMcYYu39wQH6fEaMBWZZReOz1evj+97+PH/7wh3jnnXfwG7/xG/jP//xPvPrqq/jZz35Gp6ki3KVpikceeQSVSoUq0dI0RavVotq4d999F7u7u+h2uzg4OEAURWg2mzg8PES328VoNMLq6irK5TKdaouuYtFaYZom9vb2YNs2zpw5AwD0GMuyIMsyptMpjUyIy4iKotAyk6NrogFQa0YQBBiPx/A8jzqcxcU6sUxFjEVEUYQoiui1itcntgbKsnzHrPbBwQHSNEWtVkOz2aTxkH6/jzRNMRqNaISEWywYY4yx+w8H5PehnZ0dAMDTTz+NYrFIlWhbW1v4yle+gq985Sv4/Oc/j49+9KOo1WqYz+d0QivGHETvr+hUlmUZ/X4fN27cwE9+8hNaF12pVGBZFm2tE9VrkiTR+udisXhHJ3IURVSJ5nkednZ2UKvVUC6XadOeWNQxHo9pKYllWbAsC7ZtU3D1fZ9GNsRcsWVZVIUnupMXiwVmsxlVzA2HQxoTEWMZnufBMAyaXVYUhV6n2FKYpinm8zm63S6F342NDZimSSfV/X4f+/v76HQ6x/hVwBhjjLHjwpf03uf+4A/+gALyYDCg7XFiprdSqeDkyZP40pe+dMef+5M/+RMaE4jjGJIkwfM8dLtdzGYz6igWs8a3bt2igOg4DlZXVylcnzlzhmaGRXgWfcqO49DccZIk6HQ6cBwHBwcHsCwLi8WCGiQ0TUMQBFBVlVZf+75Pp7txHFOo73Q61GUsVk8HQUCPHY/HWFpaQqPRQKlUwmQygeu6WF1dhaZpmEwmGA6HmEwmCIKAQraYWc6yDIPBADdu3KARENHIIcYv1tbW8NJLLx3H286X9Bj7YOFLeox9cPAlvXvBl7/8ZTz11FN0GU/XdZTLZbqIJ7qQ/1f9fh9JkmBpaQm+78P3fZoxFmMI0+kU7733HgDQxTrRDby7u4tCoQDP83Dx4kWUSiV86EMfQq1Wo5NmWZbR6XTgeR52d3cxGAwQhiE6nQ7m8zmNMYgZ3sVigb29Paptq1arCIIAQRDQKmkxjrFYLGjbnQjluq7TmIXruigUCnRSPh6P6URblmXs7OzA8zzakidOpOM4poq8er2OWq2G4XAIWZaRpimm0ylGoxE2NjZQqVTu0rvMGGOMsfcTPkH+gCmVSlAUBfV6HSdPnsT58+fx27/923juuef+Px//F3/xF/j5z39OFXDi9FeMPpTLZXqsaHDIsgxhGFJfsRhhuHDhAs6fPw/P8zCZTCDLMsrlMuI4plPu/f19CquSJOHpp5/GrVu3qD5NtE1IkoTV1VWUSiUcHh7SzLUYr0iShJZ7JElC88SidULXdRiGQT8c9Pt9uK5LIym9Xo/GK8THKlZLi/lmsfa63W7Dtm1EUYS9vT289dZb+NnPfnZX3s//Ez5BZuwDhU+QGfvg4BPke9FkMkGlUsFgMMB4PEa/3/+FPb0vv/wybty4QSuaO50OVldX8fTTT2NpaQmu66Lf79+x3W84HGI8HqPX6yEIAlpCcunSJUiShKWlJTrBrlQqiKIISZKgWq3CcRwcHh4iTVNcunQJg8EAmqZRldrKygosy8JoNMJ4PEatVsOJEyeov1k0Uoi2CjFe4TgO0jSlk27TNOl1VSoV1Go1GqEQa6OvXbuGlZUVCsZ5ntO67n6/jyiKUCwW4fs+ptMpsizjWjfGGGOMcUD+IBqNRvTrw8NDvPHGG//Hxw6HQ2RZhiiKsL6+jieeeAKNRoOWariuiyzLaOyh0+lA13UMh0PcvHkTm5ub2N3dxeHhIUzTxPXr16GqKiqVCo17ALeDexzHaLfbOHnyJCRJQhRFuH79OlZWVvDEE0/QiIO4lDcYDPCTn/wEq6uraLfb1OcMgC7oHR39EK0ewH+tmxYX8UQFnDgBT9MUm5ubGI/HOH/+PEzThKIoWCwW8H2fXrsYV5lMJuh2uwiCgFZkM8YYY+z+xCMW97jHHnsM5XIZjz76KBqNBs3gimAreoLFjK6iKJhOp5AkierPxOmvWD39jW98A4PBAFEUod1u47HHHkOtVoOmaXSyK+aGTdPE66+/jvfeew/r6+s4d+4cWq0WNVGMx2Ps7e1RA4au65hOp4iiCLZtU/tFmqa0mEQ0YMznc6iqCl3XsVgsoGkaisUibNvGcDgEcPsEfTqd4oknnsDJkydp+950OqXGDuB2vd7Ozg6uXr2KXq937N3HPGLB2AcKj1gw9sHxS32/ckC+h/3e7/0eVFXFiRMnoCgKisUigNt9ybquU+WZJEm0XrpcLtMFP7GFT1z2M02TquTeeOMN/OAHP8DBwQFWV1dx5swZLC0todVqQVEUJEmCyWSCZrOJQqGAzc1NbG9vo9frYWNjA6urqwBAncdvvfUWCoUCVldX6TRYbPobj8f0upMkwXQ6heu6UBSF/onjmDbslUolAMD29jZ2d3dx7do1rK2t4fz585hOpzBNk7byGYaB8XgMSZIgyzIuXrx4bM0VR3FAZuwDhQMyYx8cPIN8P3vhhRcocLZaLdy4cYPq1cSFOLHQw3EcWrssxhPEprsgCGAYBorFIvI8R7fbxblz5/DCCy8gSRJ8+9vfxu7uLhaLBQaDAfb393Hq1Cm0Wi2oqorDw0MUi0U8+OCDWF5exve+9z1cvHgR4/EYGxsbsG0brVYLkiRha2sLeZ7j1KlTqFarGI/HGAwGtB5aVVUoigJd16k32fM8JElCJ9BHF6w4joNTp07Rhj/f9+mHA3HSLbbtaZoG13Xx3/mBkTHGGGP3Jg7I96jt7W0YhoGVlRWMx2Oa+y0Wi9A0DZZlYTab0QrpMAxRKBQwnU6ps1ic4haLRdrWZ1kWut0uCoUCHn30UQwGA9y6dQtZllFFWpZlKJfLME0TlmXB8zxcunQJhUIB58+fx/7+Pra3txHHMdbW1mCaJk6fPo1er4fXXnsNm5ubkCSJPoZTp05hY2ODTpAVRaERjeFwiFKphEqlQqFfnDL7vk+1cWL22XEcxHFMPcjitFvXdQwGA7z88svH+8Yxxhhj7NhxQL5Hzedz9Pt9vP322+h0OnRRT5wQe56H0WiEOI5hWRaSJKH6N3F5T9d1aJoGSZJw48YNql7TNA27u7uYTqcAgEqlckfrRLfbxcWLF7G0tATbtlGtVnF4eIjhcIjl5WWsra2hWq3i6tWr2N7eBgCsrq5iNpthPB7j5s2bNGO8WCywtbWFpaUlrKysYDabYTQa0Tx0tVpFo9GgvuNCoYAsy2g8RHQxq6qKer0OVVXR7/fhOA6yLIPjOLBtG6PRiNdKM8YYYwwAB+R7luu68DwPvu+jUqmgWq1S1ZvYbpdlGTRNgyzL0DQNOzs7UBQFruvSxjmxunk0GiEMQ5TLZRQKBVrSMRgM0Ov10Ol00Gg0YNs2Njc30ev14LouZFmGLMtwHIfmiXVdx+rqKizLwnvvvYfxeIxms4nTp0/D8zy88sorME0TFy5cwGw2w7Vr13Dt2jUUi0VUq1UK45qmwTAM2LaN+XwOy7JgGAZmsxk8zwMAWqM9mUxQr9dRrVZpNOP69euwbRunT5/G/v4+ut3uMb9rjDHGGHs/4IB8jxJzxb7vo9vtQlVVNJtNWuph2/YdYxZi9rbRaGBpaQmz2Qyz2QyyLNOqaF3XAYA2z509exYbGxs4ODhAqVSi4Ly8vEwb7UzTpPq2PM8hSRL29vZgGAZM00Sr1aJZ4GKxiHa7TWMhvu9Tddv169cBAKdOncLh4SFd4DMMA61WC7quI0kSOr0+Om8sTse3trawtrZGS1OuX7+OKIpweHgIy7JQLpexsbHBJ8mMMcbYfY4D8j1KtFMcHBxQCBbzuZZl0fhEnueYz+fI8xymaSLPcwqmtVoNlmUBuL0mulgswvM8DAYD7O3twbZtnDlzBteuXaNTXbEGOk1TJEkCSZKgaRpdsBPPFYYhXZ6TZZk6im3bxqOPPoq3334bly9fRp7nKBaL2N/fh+d56PV6mE6nWFlZoRPkNE1pBvrg4ACTyQSKomAwGNA2PcMw0O/36e90HAftdpu27HU6HWiahnq9jocffhjf/va3j/PtY4wxxtgx4oB8jxKntWJdc7lcpoAcBAGd7qZpijzPkec5baBbLBYwTZM20Om6jkajAV3XEYYh0jTF4eEhLl68iIceegjlchnj8RiWZcG2bdi2TSfSop9Y1LGFYYgsy2hpiOhYFo8FgE6ng9lshoODA+zt7UHTNLpcV6vVcObMGdTrdRiGQbPHAFAsFlEsFpEkCWazGSRJos+DuMiX5zkmkwmNiiRJAsMw6DR9Pp9jMpkcz5vGGGOMsfcFDsj3KHGCu76+DsuyUK1WAYAuppVKJaiqijAMqetYhGlxKut5HsIwRLFYxGw2Q5IkSNMU1WoVnU4HpmnCNE2Uy2WqXUuShFovFosFVFVFmqa0fERRFArlIoRPp1PEcUy/b9s2VldX0e12EYYhms0mnQJ/5CMfQalUoplj8fpt26YWDnFiLpaNiLGSer0OSZJQr9eRpikWi8Udnc3A7ZllWZaP861jjDHG2DHjJHCP+vnPf04zwqZp0mkqABQKBYRhiMFggPl8DlmWqekhTVMaQbBtm5ofdnd3cfPmTQyHQxSLRXz84x/Hxz/+cbz33nt49dVX0e/3aRxDnDKLVgux7S7LMpimSQtLgiBAEATY399HnufY2NiA67q4ePEiXn75ZXiehwsXLmBlZQWyLMO2bURRRFVyIlSLzXti3XWSJGg0GlhdXUWWZbAsi+aORYtHGIbQdR3FYhFRFMH3fSRJQjPPf/zHf3xs7x1jjDHGjhefIN/DqtUqisUidF2nBRuGYdCltTRNqQXCdV30+30awxCVcGJWuVKp0KiE2MLneR6CIEAYhrhx4wbK5TIt+ej1epjNZmg0GvR3ep6HyWRC88qdTgeqevtLsNlsYjqd4u2338Z7772HarWKCxcuoN1uw/d99Ho97O/v4+2338aFCxdo8Yeqqv/bLLJhGJhMJhiPx0jTFO12G7IsYzqd0scuTszDMIQkSdSjLC4jxnGMz3zmM/ja1752zO8iY4wxxu42Dsj3sL/+67/Gn/3Zn9GIhOM40DQNQRBAVVVa5FEsFuE4DjzPo9NVsVhEkiSaYRbVbGEYUo/y/v4+VFWlxSCLxQLD4RBpmqJQKMCyLKRpiiiKkOc5DMOgDmMxBtFoNPDGG2/gvffeQxiGqFQqePDBB1Gr1eD7Pm3S63Q6ODg4gKqqMAwD0+mUxjKOKhaLmE6nCILgjrnnIAjgeR5c14XjOBSQLcvCaDSC53kwTRNRFGF/fx+j0eiY3jnGGGOMHScOyPe4xWKBSqWCNE3hui6F5TAMAYA264nTZTFHbNs2VaSJ+V4ANI7Q7XZx6dIlvPPOO1BVFaVSCUEQYHt7G5qm4fTp02g2mxSMNU2j53Rdl8K1GLN4+eWXEccxTp8+jUcffRSVSoVOm8Vpt+u6MAwDmqYhTVMoikLzyOJkWyw2CcMQrusCAIX9paUlOI5D4V30Qdu2jcViQUFe/ICQpumxvW+MMcYYOz4ckO9xvu+jVCrRqmhJkmAYBlzXRRRFiKIIs9kMiqLAMAwUCgUayUiSBMDtgClWPGuahlKphBs3buDy5cvY39+nMAuA2iUkSaLLdyIca5qG2Wx2x2roMAzx6quvwjRNbGxsoFqtolAoQFEUSJIEVVWRJAm1VYg/M5/PkWUZfWwiJItNf4qi0Em5+DPlchmtVgu7u7tQVZW6nufzOVzXRaPRwGw2AwCcPHmS6uS++93vHs+bxxhjjLFjwZf07nE//elP8dprr9HIged51Ht89HRWzOSKELlYLHBwcEANF+LiXr1eR6/Xw5UrV3BwcEAjGPV6HefOncOFCxewtrYGAHTxTZzMKooCx3FgGAYcx0EQBHjzzTdx8eJFnD59GisrK1AUBbdu3cLh4SEF2yzLqEPZNE0K+HmeYzgcUsdyEATUgiEu9InAa5omZFmmi3ySJMGyLJRKJUynUwrkwO0GELGaul6vH88bxxhjjLFjwyfI97jRaIR+vw9FUVAoFGDbNgBgMplQJZssy5jP59RJbJomnSo3Gg0Mh0O89dZbNC7x2muvIY5jTCYT1Go1NJtNPPjgg9jY2IBhGOj1enTaa5omNUeI0+XhcIidnR28+eab2N7extmzZ7G8vIxyuQxJkvD2228jiiKsrKwAAK2+Fn3HkiRRfVsURbSQRFzcy/McnuchjmOMx2MUCgU0Go07qu8A0KiFaNXwPA+GYSDLMvpYbdvGJz/5SXz/+98/hnePMcYYY8eBA/I9bnNzE61WC/1+H8vLy6hWq9RFrKoqZFlGGIaYTqfI8xzT6RT1ep3WRvd6Pbz00ku4ePEi1bXpuo75fA7HcWjbnqqqdEpcKBQwn88RxzGazSYA0IxwEAS4efMmrl27BlmW8cwzz2BjY4Nq5VRVRavVwng8RhAE0HUdURTRPHAYhrTxz7IsSJJEl+nSNMVsNsNisaAmjvF4TGF3OBxidXUV5XKZauGyLIPruvR413UhyzKdNoumD8YYY4zdPzgg3wc8z8PW1hYKhQJM00Sj0aCRBXECu1gsqDc4SRLs7e3h6tWruHXrFm7cuEG/L+aQZVmmirY4jtHtdpEkCU6dOoV2uw0AGA6HtO3O8zxsb29jOp2i3+/DNE2sr6+jVqsBuB18xQa/oyuuRc+xbdsolUoUwtM0hW3bMAwDo9GI1lmLhSaGYcAwDHQ6HZTLZbqM57ouBejFYoHJZELb/kRIzvMcURTB8zzMZjNomnYM7xpjjDHGjgsH5PtAtVrFbDbDrVu3aIRAjFGIRRritHhnZwe7u7vY2trCeDyG53m0QESSJERRhGKxiNFoRI0XIiBnWQZVVe/YjDeZTDAcDtHv9zGdTmEYBsrlMhRFoVaKLMuoYk7XdQry/X6fRj0URYFt25AkiVZTi9lkSZIosKuqCtd1aeRCnDQbhoFKpQLHcTAej+H7PkajEXzfpzGTo93Kk8mEGjsURcELL7yAF1988ZjfScYYY4zdDRyQ7wOf/vSn8dOf/hS3bt3Czs4O4jim0QXTNOE4DgDccfFOjESIS3GLxYLCq2VZUBQF/X4fS0tL1GIRBAGuXLmCJEngOA6F0SAIaAZZrLiez+dI0xRBEFDDhgjVYqmI7/vIsgy2bdOJtwj3WZZR3Vur1YLrunQKrCgK8jxHpVLBcDikyjfXdalWTswqu65LVXHiecWYBwBcvnwZvV6PK98YY4yx+4j0vy5Z+IUPlqRf/sHsfeHP//zPoSgKLc/IsgzT6ZQCap7nFFjF6bBosDg8PEQURXAcB0mSwPd9yLKMCxcuoFQqAQAqlQqCIMDW1hatg65Wq5Dl2wUpw+EQS0tLtNEvjmNaBy3WWmdZRl3NWZbR6a84Kc7zHHmeo1AoYDgcotFoAABOnz6Nxx57DIqi4F//9V/x4osvYnNzk/7c6dOn8fu///vodDqYz+cYDocYDAaI45jmrpMkoRPnOI4xm82Q5zlM00SSJBgMBhiPxyiXy/jHf/zHu/a+5Xku/arPwd+vjN01P8nz/Mlf5Qn4+5Wxu+aX+n7lE+R73JNPPol+vw9N09But2mWWPQU9/t9OjEWPcDT6RRra2vo9XrULzyZTNDv95EkCa2JHo/H1JXcarWQJAmm0ykmkwlKpRJs20ae5zQekWUZHMeBqqo03yu22YnLd+KkWFEUmhUGAMuyqEs5yzKUy2WcOXMGeZ7jX/7lX/D3f//3ODg4gK7rkGUZURTh6tWr6Pf7MAyD6u3iOIbv+/R3JkkCy7JowYjjOPR3DQYDBEHAc8iMMcbYfYYD8j1OhF+xrEMEXuB26KxUKgjDELquo9lswvd9uK4L0zRRr9epM3kymeDUqVMUFg3DQKPRuGMzn5gjLpfLNIph2zaNLogLgZqm0ZISUd0muolFY4T4ta7ryPMckiTB930YhgHLstBut1EsFvHqq6/iO9/5DkajEUzTRJqmtDL60UcfRa1WQ5IkGI1G1JMsgrEI7dPpFIvFggKyuKR3eHiI7e1tAKAqOMYYY+yo/+el5/CPv/7Kcb8M9n8ZB+R71FtvvYXxeIxer4eVlRXUajXEcYz9/X3s7OxQfVmxWKQgKmrPgNsrqhVFQblchmEY2NjYAAD0ej0KvaZpolgs0mW+MAyxtLQEVVUphDYaDZTLZSRJQn3Ivu9T5/JisaBQmmUZZFlGoVBAlmV0CU9VVcRxTBfuGo0G1tbWMB6P8cYbb2A8HqNarcL3fQCALMsol8v4zGc+A8uy6DKiWB+dZdn/2969B8d13fcB/5677/cTCxAkAJIgJZJ60bIlOfFDj7jO1J5MXDtT2azTZJL2j0w7bZypX03aym47qifptLbjtnYfTpRIqmo3luO2ih3boh6RJVuUKFqkSBGiAALgYoF9YPfue+/u6R+75+gCBEEAxFP8fmY4BHYXuxcLHNzf/vZ3fj897Q/odtAQQqBWq6FcLsM0TaTTaf18DA8PIx6Pb8nPka4vn3jy7ssue+Se7v9CrPwELOXd+mvUx3arua/1YD8eorcTtWbV/wyU3z4YIL8NzMzMIJVK6TraarWqa21V72I1ES4ejyMcDiMajUJKqYNmlQU2DAPBYBBerxeBQEAHkiMjI3A6nTh79qwOMtWGOvsGuEqlojtCZDKZBVliNUnPNE1dqlEul9FoNBAIBHStserPrDbRBQIBtNtteL1euN1u7Nu3DwMDAxgfH0d/fz/279+PcrmMyclJ1Ot1xGIxJJNJ3HrrrfjpT3+KYrEIp9MJv9+v66hVCYfT6YTH49Et49TxlMtlpNNpJJNJBINBBAKBrfwR09vIUkHwco4d7/5vD3TtgeZSAfDVrrvSfW0E+2NJeTeDZNpRVrte7bdXL26v1WasmcV/K7hOGSBve5/61KdgGAbuuOMOHDhwAC6XCz6fD+FwWI9PdjqdOjhutVq6i0On09FDO4rFIqLRKIaHh3HkyBEA3R7DzWYTJ06cwMsvvwy/3w/DMJBMJvVku1gspmuIge7I5pMnT+rHqFarumSjUqnokdRCCJimiWKxiFKpBJ/Ph3q9rssrDMPQU/WEEHC73TqIlVLqQD0ej+u64t27d8PtdmNwcBBCCESjUbzzne+Ez+fDm2++CZfLBSkl9uzZg/vvv18H8aVSaUGNsSr1ALplJpZlQUqp649HR0d1uUYwGNR1z0SrtSrgVskAACAASURBVNqT63KOHX/rhLsTMrLLBe5L3XY7fy/09rZU9nc91+52ttyL6Ot9TTJA3oYee+wxHDhwADfffDPcbrcOLFUguli5XMabb76JTqeDXbt26cssy0I0GoXf70ez2dTZXdXWzeFwwOfz4Y477kCr1cLFixd1Z4lwOIxgMIhQKLTgsfr7+1GtViGE0IG5CjBdLpeellcoFFAqlZBIJNDpdHTwns/n9eY8t9uth3cA3WA1kUhACIFAIIBEIqGD40gkgsOHD+vjyOfzcDgcGBwcRDKZxJ133qkn4d14441IJBJ4/PHHdW/kUqmEdruNWCwGy7JQr9fh8Xj0JkL1/djHT3u9XkQiEUgp8fWvf30jftT0NrVRJ9djx4FHH3gE8vgxAKsLQjfDSo5nux0zXZ+WWqPrvW7Vuz9rzSRvZIC6mrV6vQbKDJC3mbNnz+rew6pGVvUJVprNJqSUekNbMBhEtVrVXR/m5+chpUQ0GkW5XNZ9hDudDgqFgq6rVTweD+6991688MILmJmZQb1eR61W03XHixUKBTSbTYTDYT15zuFw6OMpl8t6GIcKqGu1Gtxut56CB0AHoz6fD61WS3fYiEajSCaTiEaj8Pl8iEajOqhXIpGIDmBVyzm7arWKN954Q3fTME1Tl5So8g7LsnSwrsZNq3Z38/PzmJ+fRyAQ0D8HouVsVsbpEw8cW5BNXq2NOtkx8KWdYrOzw2tZr1sdHF/p9tdTsMwAeZtRJQuBQAAzMzPw+Xy6fhh4q9uD2+1Gp9NBtVrVNb9qcl2lUkEwGITD4UCtVtOdK/x+v94kpzbE2d1+++04deoUpqamYJrmksenulEUi0UddKs6YxXsAt2g27IsFItFvQlOZY3VSGg12AOArvN1u906W+7z+TA4OKiDY1VTrTpzqLIP+7GVy2WUSiWMj4/DNE1dy6yei0ajAafTiUajobtaqE2A6v7b7TZarZYus1j8OER2O+mt2I04uTEwpp1kq9braoLk7RQcX88YIG8jDz/8MEzT1BPiOp0OFg9yUf14M5kMpJS6PZnqDRwIBGBZFjKZDKanpzE4OIhCoYBsNotoNIpQKKTrbt1u92X3nUqldDa6Wq3qfsCqjCKTycDr9WJychLNZhPRaFSXUKia32azqbPJalS0CjwbjYbOIBuGobPlavNgKpVCKBRCMBjE4ODgguB0uV7ExWIR09PTqNfraDabSKfTegBKvV5HpVJBo9HQgbdqPaeO3TRNCCEgpUShUNAdOcLhMB577LF1+fkSrafVZqW2c3B8PWWlaOts9YvZlazZ7RwcX2/rlAHyNnD8+HE97a7RaFw2HjmTyejxyGpz2uTkJIaGhuDxeNBqtRCPxxEKhZDP5xGPx9Hf3w+Hw4FvfOMbsCwLR44cQTweh8fjgdfrxfz8vN4UB7xVxqGy08ViEU8//TRarRbm5+eRy+X0eOpWq4XBwUFMTk7qQNswDNTrdV3Pax/4UavV4PP54PP5dFAfi8V0wB4MBhGLxeD3+xGLxeD1enUwXCqVUCgUEIvF9DTAsbExOJ1OFAoFzMzM6BpmNR1wcnISExMT8Hg8egqgYRhIJBIAAKfTqY9LtaIzTVO/KEin03jxxRfR39+P5557brN/HWiHuJaT7aMPPPLW/TxwbMW3XXz7rTjhrkdQfL2daGnnWm79Xe22S91+qTW7mZ1kVuN6X6cMkLeBYDCIRCKBYDCIXC4HwzB0t4dLly7pCXKqFVo8Htdjo1XXCRXgqkEZjUYDXq8Xv/IrvwKHw4FUKqVrkCuVCvx+P/x+vy7ZkFIil8vpdmr5fB6lUgm5XA5zc3PIZDIYGRlBIBDQmWYVVKqstRoHbRgGJiYmdOZYTcjzer2IxWIAoEsb1NCRUCikyy/a7TYKhQJyuRyAbuA7OTmpO19ks1l4vV7Mzs6iUCjo1nbFYlG/wFAlEqr+2eFw6AmCQghdx+1wODA3N4dAIAC/34/Z2VlMTU3pYyJaylqD46VOoOqyxSfSpW67EhsVEF+pp/JKXe8nW9o6m7FeV0MFyQyMtzex+C38ZW/MWfHrbmZmBk6nU9cTm6ap27MJIfQkt9HRUSSTyQWb4lQrN7fbrQNGy7IQj8f1WGcAyOVyukxCBdaqS4Qqhejr6wMA3f/3woULmJ6eRqlU0iUcfX198Hg8uixhfHwcXq8Xfr9/wXS6YDCIsbExfZ2UErVaDZFIBCMjI3pToar5VdnkdrsNwzDQbDZRLBb1cJBGo4FCoQApJcLhMGq1GgzDQDabRafTgdPpxOzsrP6aarUKy7IwPDyMVquFYrGIYDAIt9utex93Oh1dyjI1NQWv14tKpYILFy6gXC7j8OHD8Hq9ePTRR7fk90JKec07A7le199aTrRrDXSXPY5FJ+e1DBNZCZ5gV+yElPJd13IHXK8bY6PXrFqLV/qaKwXSGzlQZLXrlut1acwgb7FkMolWq4WxsbEFZQyqLdnrr78Ot9utSwyEEGg0GgiHw7puVgWFtVoNQgi0221d4qA2rmWzWV3nm8/nYZrmgs1vKkBWm+UikQjcbjcqlQrK5bIOSmu1GoLBIAqFAtxutz6OYrGoj62vrw+JRAKlUkkH8tFoVNdIq4y4GietyikqlQparZbeTCel1F05arUaotEoKpUKZmdnUa/XdYDdaDR0V412u63burVaLd0nGujWMKsNjWqyn3r88fFxXLp0CbVaDQMDA9izZw+++tWvbsFvBL2dbERwvJRr6WpxJTzJ0vVmtet1JVnkRx945JqyzauxmjXL9Xp1DJC3yKVLlzAwMIBWq6XLBPx+v94gV6/XUS6X4fF4MDIyApfLpVu0AdCjk1UHBqfTiUgkoksNPB4PGo0GYrEYRkZG9OY0ALrkweVy6e4NtVoNQLcXsQpe/X4/nE4nTNPU5RRer1e3k1O1x/auEup4fD4fSqUSPB6PPrZgMIhUKqUf1+/36xcDzWZTj6BWWXTVJaNer+sgWF1vmqYelOJwOJBMJvXgEjUKW30cDAbRarV0Bwv1/amyELfbrTtXxONxJBIJBsd0mdVmotYSHK9XmcW1YGBMbxerWbPXutY+8cCx1WWen7x7XbPIK1m3XKurwwB5kzWbTZw5cwaWZSGfz6NarWJ2dlZnPgOBAEKhkO5eoTo8GIaBSqWCSqWiuzOoDXWqNZwaIa024NXrdf24qVRKj5LevXu3Lq0wTRMzMzO6bVulUkE2m0WxWESxWNTjptXwjHg8jmw2q4eCqKBXDd9QwbPP58Pu3buxZ88eeL1eOJ1OBINBjIyM6FpoVbphfy5KpZI+TgC67MLhcCCfz6PRaKBWq+nAt1KpwOfzwel06gC73W7D5XIhn8+j2WxiYGAAoVBId7QwDEMH9gD0i4NQKIRUKnVZdw+6ftlPOqrp/2ZazUn3Wk9+aymn4AmXtqvFwfEj92z8Gl5qvW5k9pgZ443FAHkTSSlx/PhxOJ1OpFIpXbrgcrlQrVZx8uRJvOMd79ClCU6nEzMzM5BSYu/evYhEInqD2fz8vM4Iq8DQ7/cjmUyi3W6jVquh0+lgbm4OlmUhGAzqvr72iXyhUEj3BI7FYpiYmEC9XoeUEvl8Xm+Ii0Qi2LNnD/x+P4rFIlKplN6Al0gkdIcKy7J0tw23241EIqEDUjXwQ03iq9Vq+kVBOp1GvV7XGwwdDoee/hcIBHTnDfVCIhaL6fZs9hpuNSnQ4XCgVCrpLLPKVjebTXQ6Hd2TWQiBiYkJzMzMwDAMFItF/OAHP9iqXxHaRq61W8NqM0pLWdztYrm3axdnpK40BYut2ejtSo1HlvLuy4Jhcc/mlTooa3k8+/ewXrhW14YB8iZRGeFGo4H+/n4Eg0HMzs7C4XAgEongxIkT+OY3v4mhoSHd1aLZbOpaZFVOocYz7969G/V6HbOzs6hWqzqDqnr+qi4Vbrdb9yhWmdFyuYzZ2VmEQiH09fUhmUwuOBbDMGCaJsLhsO5s0dfXB5/Ph0KhAK/Xi76+Pkgpdfu0VCqlA/ZGo6E7cSxFZYADgYDujVytVnVg3G639UY7FWyr4SRerxfBYBC1Wg3FYhEA9H2ojLl67FgshoGBAdTrddTrdV3KEQgEdABdq9VQKBT05sYXXnhho38VaAdYyclpJbWFaw2Sl9s9v1ocDEDXA/V7rv63Z4wfuQd4FMuv2atttlvOlb5mrfXHXLPbAwPkTWDvFHLo0CH4/X5MTk7i0qVLelRyvV5HNBpFs9nEwYMHEQwGcfbsWbhcLt0lolwuIxwOIxgMYmhoSI+Uttf2qs4OahiGz+eDEAIulwvNZlNvVFNdHeydJOwT75xOJ5LJpG4BV6/XMTk5iUKhgH379umsbl9f32Xt0FT5xlKq1SpcLpfuSayCVLXJzz62WmWd1Shq1QZOddFQddJqGp/L5dKb+JxOJ+LxOLxe74JyDgBwu93IZrNIp9PI5XIIhUKIxWJ49tln1/tHTzvQUiena8k+raZv6lbUHK8FM1K0naxnQLn4Ra19/a73el3vOmRaXwyQN9nIyAja7TbOnTuHQqEAoJvxvO222+Dz+RAKhVAqlZBOpzE5OYl0Oo3BwUF4PB7d57dUKsEwDFiWpQeF5HI5HayqmlqXy6VLGFT7tEajofsYA93gPZvNIhAIoFarYW5uDh6PR9cjz8/Po1Kp6J7EgUBAB+a33HLLqnsFLx7bfPHiRd3CTXWkUJnvSqWCZrMJoDvARHXxEEIgEAggEAjoDLuqKVbjq1XJSKlUgpRSB+QqU10ulyGlhGma2L9/P5544om1/1DpurARu9GvVLO4HoHyer9NS7QdLfc7rrLIx44D8vixFdcgb3YpBm1PxlYfwPXI4XDgxhtvxOjoKFwuF2ZnZ1Eul3H06FGd3XzjjTcQCoUQjUZhmibK5TJKpRJM00Qul8Pk5CTGx8dRq9XQarUwOzuL2dlZNBoNVCoVFAqFBRvcOp2OzqK2Wi19LEII1Ot15HI5FItFmKYJy7KQSqUgpdRt3lSNs8/nw/nz52Ga5jUP0nj99ddx+vRpZLNZtNttXR/tdrt11l31UK7Varrvs7rcsiw9/EOVoahSEr/fD4fDAcMwdP9jtalw8aQ/Bse0FutxEl1t71SeuInWZqM26G33Ncl3e9aOg0I2weLn2DRNnD59GvPz8wgGg5BSolwuw+v16hHTAPTGuGeeeQbNZhOHDh2Cw+HQAbIa3GGv1Q2HwxgYGNDZ1v7+fjSbTdRqNXi93svKH8rlMjKZDJxOJ3K5nJ7YVywWcf78eUxNTUEIgb6+PrhcLpRKJRw6dAijo6MYHBxc83MyNjaGkydPIpfLIRKJIJ/PA+i2r7PXBYdCIYTDYT1Zz+fzYXh4WG+4czgcyGazOoDvdDp6k2MoFILT6dSBtCrfaDabmJ2dxcMPP7zm499oHBSydZbKSG307veVZoyvOpZ6ibdrNyqLzBPvAhwUskWu9Pu9kWt2vdYrcPmaXe/1ynW6pBWtV2aQN8Ebb7yx4PN8Po8LFy5gbGwM09PTuv9uNBrVnSa8Xi+ee+45fOUrX8HU1BQ6nQ7S6TRcLhcOHDiAdrutN5yprhYqGFQT5VQbMyml7gOsqJ7Cqi1bpVKBZVlwOBw6o+z3+/UI7EqlgosXL6LRaOjL1kptJpRS6nrncDgMn8+nNxJ6PB643W6Ypqm/N9Uto1Kp6Bcd6vjVGOpoNIpQKASXy4VOp6Mz4lJKNJtNZLNZTE9P69INosW24oSykhPpijJVd09vWlkFyzdoO2AAuDyu07VjDfIGe/e7340vfelL+NCHPoSRkREA0BvgLMtCu93WNbVSSl0qoDKdly5dQjwex759+2AYBlqtFsrlMnbt2oXZ2VkMDQ0hHo/D4XDoHsiTk5Pwer0YHh7WE+Usy4LX60WtVoPD4UCxWNQT6tTmPNWDWLVC279/P6LRKKamppDP5xEOhzE4OIg9e/YgHA6v+TnJZrMolUro6+vT5R+5XE5v2Ot0Onrzneq3rCbiqW4WsVgMlmWh1Wrp505NFVRdLFRXDRUcCyGQzWbx3e9+d11+tvT2tbh+dzN6qC5npW/jLr4dT450PViq3n4j1+xK9gmstvSCa3X7YQZ5gz3//PM4d+4cHnroIfzwhz/EqVOnUK1WdcZUdZeo1WqoVqtwu93weDzweDy499578bGPfQx79uxBu92Gx+PRk+QSiQSKxSJyuZze2DY3N4dcLgen06lrdC9evIhcLqfLDFQ2tVKpIJ/P6/pidV/27K6q91V1zOFwGF6v95pqj1XmWwiBgYEB7N27FwMDA/B6vQuCdBUQJxIJ3VJOtXHz+/0wDAOdTkdP6LMsC6VSCdPT06hUKrqDh8fj0TXKanMe0Uoszkw9+sAjG7rjfLvXMi6FJ3XaLpbKJK/3+PWV2m7BMdfp2jBA3gT79+/HmTNncObMGT0AJJ/P6x7DagNeu93WI5ZVDe2ePXsQCAQwMzODbDar+xyn02mYpolisYhqtbqg9VkymUS1WkU6nUa5XNYb4FTwq4JEv9+PcDi8YEObx+NBKBSC1+tFOp3GG2+8gXK5vGAcsyrdWAuHw4FUKoVIJAKHwwHLsvT4Z1VvrDpzqP7FqtYY6GaDw+Ew2u02TNOElFJniBuNBoQQMAwD1WoV5XJZPzftdhuXLl3SnUOIVkKIp/Q/ItreFq/TjVy3q2nfuByWRG1f3KS3CT7/+c/jpZdeQrPZxEc+8hG85z3vwfT0NDqdDjweD9rttm5/Vq/XkUgkEAgE9OhlVUPs8Xh0T+Dx8XGUSiUcOXIEfr9/Qb9in8+nuzlEo1FdquB0OvWmPqBbC12pVGCapp4up8or3G43CoUC0um07qbhdrvR39+P22+//Zqfk2KxCMMwkM/n0el0kMlk0Gq1cOnSJczNzelMsxoeYhgGGo0GWq0WkskkTNPE7OysPmYpJfx+P0KhkB6frTYoAsD58+fx6quvYnx8/JqPfTNwk972tHh87UZZbXcL+9fJ45ufieYLCG7S2462+3oFNjfLzXWqrWi9sgZ5Ezz44IP43Oc+h4mJCYyPj2NkZAQulwterxeWZekM7tTUlK7tNU0TzWYTXq8XLpcL9XodtVoNlUoFhmEgEokgFothaGhId6BQ2dNWq4VoNKo3v6XTad3b2OVyodFo6BHMrVYLlUpFj4ZWpR5OpxPtdhuBQECPZI5GoxgeHl6X5yQSiQCA7u9cLBb18ap64mq1quuVAehMs9qEqGqSW62W7tChxmxblqU3L5bL5R0VHBOt1lYPGFHjcYlo5Ta7BITrdHVYYrFJEokE4vE4Ll68iOeeew6GYeDSpUu61ZvquuDz+VAqlXD+/Hmk02kA3dHMqo+vyvgPDQ1hz549Cy4TQiAUCiEUCsHn88Hv9yOfz6NarcLj8cDp7L4eUqUSTqcTfX19iMfjcDqdusxD3abT6cDlcumykEQigWQyuSHPT7VaRavVwtDQEPbt24dQKATDMPQ463a7DSklXC6X7pes6oyTySSCwSAcDofexGhZFqanpzE+Po7z588zOKZ1sdVTr5YNhJ/a3f1HRNvCVr9wXYqUd7PcYoUYIG+ST3/60/ja176GF198ET/+8Y+RyWTgdrvR6XT0cA+fz6drhNWms7m5OczNzaFWqyEQCGD37t1IpVK65GBqampB9ljVMKs+waZpAgDm5uYwMzODfD6/oL1bPB5HJBKBYRiYm5vTI58jkQgCgYAedT00NIQDBw6s63OiaoRVtrxWq2FwcHDBKGtVVqL6N6tuHclkEn19ffB6vbr+WgXR6nmdnp6GaZo4efLkuh430UZaarLectfr22xii7el8KRL281mv6D9xAPHduRmW1oaSyw2mdos9sILL+CDH/wggsGgLgnodDo4e/YsgsEgYrGYDgqdTiccDocufeh0OqhWq2i323A6najVavD7/Wi1WjBNEz6fD0II1Go13UIul8uh1WohFotBSoloNKo3AyYSCRQKBZ1pVgGplHLBQA7DWN/XU8FgEMViEZVKRWd+VU/oWCy2oPuGypR3Oh2Uy2VdLqLaxKkBIep5qVarKBaLePXVV9f1mIkevfepDa1tXOoEy5Mu0dps9HoFLl+fO2G9stzi6rhJb4v09/djZGRET7276aabMDg4CCklEokEDMPQGdz5+XnU63U96OOGG27QPYA9Hg/GxsZgmib2798PADooBoCLFy9icHAQfr9fZ2qllIjFYnC5XDAMA16vF7Ozs8jlcggEAqhUKgC6wfyuXbswOjqKVCq1bt97vV7H1NQU0uk08vm8LvcoFos4fPgw9u/fj1dffRXnz5/HzMwMLMtCMBiEaZp6UMnc3BxOnz4N0zTh8Xh0xws1LjuTyazb8W4FbtLbGTZrE9BKbVVbK+C63wDETXo7ANfrW7heuUlv2+p0OpifnwcAzM/PIxaLIRqNwufzIZvN6kyxyizX63VEo1EYhoHZ2Vm43W6USiXdcSIUCqFSqeg6ZsuyUKvV9Ga4ZrMJn8+nN8GpOmTDMNBsNlEul3VPZpfLhXA4jHg8jkQioe9jvUxOTuL8+fNoNBqYn5+HEEJ/H36/H2NjY3j99ddRLBbR6XR0OYm6jXrBUKvVMD4+rjPrs7Oz63qcRDvJVp5siXaCzcgm7wTXeXC8YgyQt8jBgwcxPT2tp9iNjY2hWq3ivvvuQzgc1sFesVjUnSxUn19VGmFZFjKZDIaHh+FwOJDP5+H1evX46WKxiIGBAX1bj8ejyxGq1aqe2KcCcFXKsHv3boyOjiIaja77910ul3Um3OVyIRAI6GA9Ho/DsiycO3cO6XQaUko4nU5dXtFut/Wo6Eqlgnq9rrtxXLx4cd2PlehqlqpxtJ+AH33gkU17u/XY8a0LknnCpZ3ieg+SuVZXjgHyFnnuuecAADfeeCPcbjdyuRzS6TTi8ThuvvlmHRCrsgiPx4MLFy6gWq3izjvv1Jvxms0mcrmcHq6RTCZhGAbq9fqCDLFqm1apVPTQDXW56hYhpUQqlcLBgwevaZS0Om6n03lZkK2m/vX19aFWq8HtduuR2z6fD5OTk3pjIdAdZqJ6MxuGoQd9lEol5PN5AN1aZqLtQp2A1Wa6zQySiejq7C9sP/Hk3Ze90L2eA2h6CwPkLfaBD3wAr7zyip5u99RTTyGbzeLDH/4wkskk0um07kdsGAYymQwmJycRi8VgGIbenOdyuWBZForFog6oAejODmoQier4oEY5q7ZuQgjs27dPDx4BgGw2izfffBOVSgXZbBZDQ0O46667lvw+CoUCKpUKLly4gEKhAL/fD6fTiXvvvXfB7VSWuNFo6Ppn1VXD5XLpPs9AN4BXwX6xWNRt3FRXj2aziXg8jpdeemn9fzBE1+DRe58CNvkcy+wx0eptVevGrVivXKurwwB5i33ta19b8Pno6Chef/113HXXXejv70dfXx/8fj9SqRTcbjeSySTcbrfenBaLxSCEQL1eR7VaRbVaRSKRQCwWQ7PZRDabRTgc1mUWlmWhWq3C5/PB5/Oh3W7rwSE33XQTfD6fPpbnn39ely7UajUUCgXs27dPb9ibmJhALpdDuVzG/Pw8KpUKZmdnIaXUpR2LqVHYHo9HZ7RVsFwqldBoNHQJhnrcTqejB4mocdgulwtHjhzB4OAgA2Tanp7aDdw9DYBv6xLtJJu5XlXQupI2iau5LV07BsjbjBACmUwGzz77LIQQCAaDqNfryGQycDqdOHToEKSUeOWVVwB0M8LBYBCdTgeDg4MIBoMwDEOXKahaXjVko1wu6zILwzD0hrxUKrUgOB4fH8eFCxfQaDQQiUR0ycWJEyd0G7V2u60z0B6PR7eK8/l8aDQa+rrFVC9jt9utg2GHw4Hx8XHMzMzotnLRaBRCCPh8Pl2r3G63MTQ0hEajgb179+LBBx/csJ8F0bVSY5+FWHjSXe8T8OJslBBPbcpJlBkpervayCD5kXsuXztLBb9XWl+btb6vdwyQt5mxsTEcOXIEL7/8Mnw+H26//XaEw2GdoXW73di1a5cOglutFvbu3as37oXDYRiGoetzG40GisUi2u02BgYG4PF4YFmWzu6Gw2Hs2bPnsjZup06dgsvlQiQSQavV0hviLl26hGKxCL/fD6/XC7fbrUsiPB4PvF4vhBAwTROhUGjZ79Xv9yMajcKyLOTzedRqtQXlFP39/QiFQmg0GgiFQkin05idnYXf78cTTzyxAc8+0fpafIJb77dzl3qbVj0ms01E10at1/UKlFdSVrFRLzr5Ynb1GCBvQ3fddRdeeOEFPP3005ifn8ctt9yCRCKhu0+Uy2XdK7lUKungWWVsw+Gw3tjmdDpRLpcRCAR0tra/vx+BQADJZBIjIyOXPf65c+dgGAb279+PXC6HXC6HRqMBy7IgpUQ8HtdT8NQmu1KphFgspj83DAM33njjVb/XWCwGoFuu0el04Pf7MTExgTfffBO7du3C0NAQHA4HCoUCxsfHkc1mcfr06XV8tom2l5VmrlZaw8hsE9G1WY9AeT1rjrmeNwcHhWxjR48eRTqdRjKZxJEjR/D+978ft956q27RJqVEoVBAu91GJpNBMBjUtb/ZbBYA0Gq10Gw2daDZ39+P2267DYFAYMkaYQD4/ve/j1QqhXq9jpdfflkP3TAMA0IIjIyM6MtUi7n5+XmkUik4HA6EQiGEw2HccsstcDrfeg3WarUwMzMDr9eLvr4+fXmxWMSTTz6JbDaLdruNEydO4JlnngEARCIRCCHw/PPPb8hzvF1xUMj1xV56AaA7Nvr45Z0vxD1vjZle6nrgypmi9T6pMiO1AAeFXEcWr9e1rK21rp/NfKy3MQ4K2emOHTuGH/3oRzh//jz+5m/+BqVSCfV6HcPDw3C73XA6nQiFQqhWq0ilUvD7/SiVSiiXy5BS6i4XHo8HhmHA7XZj7969y7ZwO3v2LObm5hAIBJBOp3WvdU5kzQAADrpJREFUZCEEXC6XHtTh8/kQjUaxa9euBXXCXq8X/f39GBwc1MHxuXPn8Nprr2F+fh5OpxOjo6OoVqvI5XJoNpsAoNvZRaNRRCIReDwezM/P4+zZs5vyXBNtlqVGvC4uvbhS8HulyxUGx0Qbb7M7XzBjvDUYIG9jn/nMZxZ8/su//Mv41re+BQB43/veh5GREQwPD6Ovrw+tVgulUgnRaBShUAi5XE6XY6hgua+vD4lEYtnHPHfuHI4ePQqXy4Xx8XG0220Eg0H4fD49je+GG27ADTfcgHA4jFarBSGEnoJnl8lk8NBDD6FWqyGZTKJcLqPZbOLMmTOo1+sIh8OoVCpIJBJIJBI4c+YMpqen8fjjj6/vE0m0jWxkcLk4+Ga2iWjnWem65VrdWAyQd5BvfvObAIDPfvaz+Pa3v42+vj6Mjo7itttuw+HDh/WGuWAwCL/fj0qlosdZW5aF6elpeDweHD16VG+ss2u1WjrABoCBgQHdAUPVOkciEbz3ve9dUDphJ6VEPp/H9PQ0zp07h1AopMsk1GMkk0mEw2HU63XdL/n06dOXtbwjut4slV3eTDzhEm2OK611BsfbBwPkHeiTn/wkMpkMXn31VTz11FOYmJhAtVrV9cAOhwMjIyN6KEe73UapVEKlUsG5c+dQLpfxrne967KMr8vlwt69e+H3+yGlhMPh0H2IO50O+vr6cPPNNy8IjtUI6Hq9jkqlgunpaczNzaFYLGJ+fh5utxuZTEZnsy9cuIBOp6M7b6iWcF/+8pc3+2kk2nbW86S3muwxT7ZEq7cVpQ9cq5uHAfIOdMstt+D3f//3UavV4HQ6kc/n8Vd/9Ve6hKK/vx+HDh3CDTfcgL6+Pggh4PV6MTk5iYmJCRQKBQSDQdx+++0L7rfVaiEej0MIAcuy0Ol0YFkWKpUK9u7di4GBAQwMDADo9l++dOkSTNOEaZoLBoVUq1U9vOTixYt47bXXYJomhBB48cUXt+IpI9pRrrVF22qGDhDR2lxrh5iVlkRxrW4NdrHYoX79138d6XQaU1NTemhHMBhEKBRCs9mE3+/H4cOH8dGPfhQjIyPw+XwwTRMzMzMol8vwer0Ih8Pw+XxwOBxwu93wer26t3Emk8GpU6f0ZLz9+/fD5XLpWmIhhJ6uV6lUUK1WYZomMpkMSqUS2u02TNNEoVBAsVhEo9HA2NjYVj9tOwa7WNBi1zJpiyfYDccuFrQAX6RuaytarwyQ38ZGR0cxPDyMgwcPYvfu3YjH40gkEsjlcpie7o7A9Xg8iEQiOHjwIBqNBmKxGAYGBnDhwgVMTk7qYNvpdMKyLOzevRs/+9nPAHSHkJimCZfLpbtnlEolmKaJer0OAAgEAojH4/jOd76zZc/DTsQAma5mqRMwT7hbhgEyLYvrdVthgExAKpWC1+tFMBiEEALtdlvXDRuGgU6ng1QqhbvvvhtutxsjIyM4cOAA5ubm9MS9ZrOJdDqNSqWCTqeDkydPIhgMolAo6LHQU1NT6HQ6eqOg3+/H3r170Wq18Nhjj23107DjMECmlVInXp5stxQDZFoRrtdtgX2QCZidndUfDw4OolQqweFwIJFI6AxwsVhEtVpFIpFAOp3GxYsXUa1WIaVEq9VCsVjE9PQ0MpkMCoUCWq0WBgcHUavV0G630Wg0UCgU9KhroFujXCwW8b3vfW+rvnWi6wJPtEQ7B9frzsEM8nVmeHgYhmEgmUwiEonAsixMTEygVCrB5/MhGAzC4/GgXC6jVqvBsiwA3Sl6lmWhXq/D7Xaj2WzC5XLB6XTqzLRlWbqdmxACQggUCoWt/HZ3LGaQiXYUZpCJdg6WWNDmsXe/EELo/su0NgyQiXYUBshEOwdLLGjz5PP5rT4EIiIionVx+Tg1IiIiIqLrGANkIiIiIiIbBshERERERDYMkImIiIiIbBggExERERHZMEAmIiIiIrJhgExEREREZMMAmYiIiIjIhgEyEREREZENA2QiIiIiIhsGyERERERENgyQiYiIiIhsGCATEREREdkwQCYiIiIismGATERERERkwwCZiIiIiMiGATIRERERkQ0DZCIiIiIiGwbIREREREQ2DJCJiIiIiGwYIBMRERER2TBAJiIiIiKyYYBMRERERGTDAJmIiIiIyIYBMhERERGRDQNkIiIiIiIbBshERERERDYMkImIiIiIbBggExERERHZMEAmIiIiIrJhgExEREREZMMAmYiIiIjIhgEyEREREZENA2QiIiIiIhsGyERERERENgyQiYiIiIhsGCATEREREdkwQCYiIiIismGATERERERkwwCZiIiIiMiGATIRERERkQ0DZCIiIiIiGwbIREREREQ2DJCJiIiIiGwYIBMRERER2TBAJiIiIiKyca7y9lkAExtxIESkjazT/XC9Em2O9VizXK9Em2NF61VIKTf6QIiIiIiIdgyWWBARERER2TBAJiIiIiKyYYC8iYQQ5Q24z71CiGPLXPfqej8m0duVEKJfCPGIEOKCEOKEEOInQoi/swXHMS6ESC667AUhxEkhxEUhxFzv45NCiL2ruN/7hBDvtn3+50KIj6zfkRNtHiGEFEL8me1zZ29t/J9V3s9l622ltxFCRIQQDwkh3uj9e0gIEVnBY/6uEMK/muNc9PVHhRAfWuvX09UxQN759gJYMkAmopUTQggAjwN4Wkq5X0r5TgAfB7BniduudoPzNZNS3iWlPArgXwJ4TEp5tPdvfNGxOZa5m/sAvHuZ64l2kgqAm4UQvt7nfwvA9CYfw38HcEFKOSqlHAXwJoD/toKv+10Aaw6QARwFwAB5AzFA3gJCiHuEEMeFEN8WQpwVQjzcOzmrV6lfEkL8tPfvQO/yPxFC/JrtPlQ2+t8BeF8vk/SpZR7zN4UQjwshvieEeFMI8Y+FEL8nhHhZCPG8ECLeu90/FEL8TAjxihDif6tXuEKI0d7tfiaE+KI9Gy6E+HTv8lNCiC+s/zNGtCnuA9CUUv4XdYGUckJK+VVAr6FvCSG+B+AHousPhRCvCiF+LoS4v3e7e+wZLCHEHwshfrP38bgQ4gtCiJd6X3Ood3lCCPGD3nr8OgCx0oPuZc3mhRD/RgjxUwB3CiGmhBDR3vXvFkL8UAgxCuAfAPh07+/FL/bu4l4hxHO9rPmmZ8uJrtETAD7c+/gTAB5VVwgh4r3z3qne+evW3uVXXG9CiE/2zr0nhRBfX+4FZ+/8/E4A/9p28RcBvKt3zlzyb4EQ4p8AGATwpBDiyd51ZSHEv+/9bfiREKKvd/lxIcS7eh8ne39D3L3Hub93nPev/emjK2GAvHXege4ryCMA9gN4j+26kpTyTgB/DOA/XuV+PgfgmV4m6T9c5bY3o5ttvhPAvwVQlVK+A8BPAPz93m3+Qkp5h5TyNgCvAfjt3uVfBvBlKeUdAC6pOxRCfBDAwd59HgXwTiHE+69yHETb0U0AXrrKbX4BwG9IKe8D8FF0f+dvA/ABAH8ohNi1gsfJSilvB/CfAfyz3mX/CsCzvfX4lwCGV3nsEQAvSSnvlFL+ZKkbSCnfQDez9Ye9vxfP9a5Kofv35yMAHlzl4xJttf8J4ONCCC+AWwG8YLvuCwBellLeCuCfA3iod/mS600IcRjA/QDe03u3pg3g7y3z2EcAnJRSttUFvY9Povv3ZElSyq+gex69V0p5b+/iALpr+HYAT/WO8Upf38TCd5IeW+YYaY0YIG+dn0opp6SUHXQX017bdY/a/v+FdXzMJ6WUppRyDkARwPd6l//c9vg3CyGeEUL8HN0/DGqR/wKAb/U+fsR2nx/s/XsZ3eDiELoBM9GOJoT4Wu+dlJ/ZLv5rKWW+9/F7ATwqpWxLKTPontTuWMFd/0Xv/xN4a929H8CfA4CU8v8CKKzycJsAvrPKr1Eel12nAOxe430QbYne7+1edLPH/2/R1e8F8Ge92/0YQEJ064OvtN5+Cd2M8M+EECd7n+9f5uEFgKV65V7p8uV0AKhA9897x05baNPr6Ehr2D5uY+HPQi7xsYXeC5peOYb7Gh+zY/u8Y3v8PwHwESnlK723he+5yn0KAA9KKb++huMh2k5OA/iY+kRK+Y9Ed1POi7bbVGwfX6kMQq/VHu+i69W6W27dr1ZNLmxqbz+GxY+/mP3vwopLO4i2kb8E8Efonq8StsuX+n2Wi/63EwD+VEr5+RU+7mkA7xBCGL1kF4QQBrrvKr0GYADL/y1YzmXn/lV+PV0jZpC3p/tt/6u3S8fRfWULAL8KwNX72AQQWsfHDgFICyFcWPjW0vN4K3j4uO3y7wP4LSFEEACEELuFEKl1PB6izfJjAF4hxO/YLltuE83T6NYAOnr1gu8H8FN0p6EdEUJ4etmqX1rBYz+N3noTQvxtALG1fAM243jr78XHbJev998Lou3gfwD4opTy54sut6+re9AtbyrhyuvtRwB+TZ3DejXMV5y6JqUcQ/fd0z+wXfwH6JZKjGH5vwWL16IBQO0zOgbg2d7H43hrLf+a7fZcyxuMAfL25BFCvADgnwJQG+/+K4C7e5tw7sJbmaxTAKzeW8FX3KS3Cv8C3RquvwZw1nb57wL4vd7j70K3RANSyh+gW3Lxk15ZxrfBRUs7UC8D+xF019mbvd/1PwXw2St8yXfQXX+voBtcf0ZKOSOlnATwv3rXPYzuCfRqvgDg/UKIl9AtWbp4Td8M8ACA/ySEeAbd8gvluwD+bm9z0i8u+ZVEO0yvXPHLS1z1ALob5k6hu6H9N3qXL7nepJRn0A1wf9D7mr9G93y3nN8GcIMQYkwI8QaAG3qX4Sp/C74B4Am1SQ/dc/pNQogT6G4Y/mLv8j8C8DtCiOcA2NvMPYlu8M1NehuEo6a3GSHEOIB3SSmzW30sdqLbzaImpZRCiI8D+ISU8le3+riIiIh2OiFEWUoZ3OrjoLewBplW6p0A/rhX/zwP4Le2+HiIiIiINgQzyERERERENqxBJiIiIiKyYYBMRERERGTDAJmIiIiIyIYBMhERERGRDQNkIiIiIiIbBshERERERDb/H9/reoEyO2ohAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.2595531642436981\n",
      "Accurary: 0.9934548735618591\n",
      "Dice coefficient: [0.97119623, 0.9533417, 0.94834346]\n",
      "Sensitivity: [0.9656334234121737, 0.9553496212691691, 0.9185645275411852]\n",
      "Specificity: [0.999394112196273, 0.9989718681865932, 0.999012833168986]\n",
      "Gradient min:-0.01694478839635849, max:0.027461620047688484\n",
      "\n",
      "-----------<Summary for Epoch:10>------------\n",
      "Mean Accuracy: 0.9951475262641907\n",
      "Mean Dice coefficient: [0.8927816  0.89938487 0.84878853]\n",
      "Mean Sensitivity: [0.91429992 0.93250436 0.87361501]\n",
      "Mean Specificity: [0.99949882 0.99960453 0.99897904]\n",
      "------------------------------------------------\n",
      "\n",
      "Compute time per epochs: 2.00 mins\n",
      "\n",
      "Epochs 11\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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1Xn75ZUqlkjqY197E1w7QjUaDarXK4cOH2bt3LwCpVIrHH3+cs2fPcuLECcxmMwMDA1x//fV0dXVht9uZnJxEp9MRDoeZmppi165d/Nmf/Rlnzpwhk8mwvr5OIBBQBwOXl5f59Kc/zfr6Okajkbm5OXbt2oXL5eIf//EfpSdZCCGEEP+rJCD/Eo2Pj7O2tkaxWORDH/oQv/u7v4vVasVkMnHq1Cmi0Sh2u52NjQ0ajQYGgwGLxYLdbqdSqRCLxVS/sc1mo1arodfr0ev1eL1earUa8/PzlEoltm3bxurqqmq/SCaTmEwmHA4HzWYTs9nM6Oio+tp8Pk+z2QReCfD1el1Vk2dnZykUCmQyGQA2NjZYXV0ln8/z1re+lVAoRLFYxGQysbi4yLFjx3A6ndhsNkKhECMjI3i9Xl544QVOnDjBiRMnmJqa4tChQ9xwww1Eo1F+/OMfs7KyQj6fx2AwsGPHDkKhEKlUCoPBgNvtpqurC4AvfvGLnDx5EqvVSjAYZGxsjM7OTkZGRjCbzZw4cYJms6lCsoRlIYQQQvwySUD+JVpYWKBYLGI0Gunp6eHAgQPEYjFWV1cBWF5epq+vj0ajQaFQQKfTqYkNJpOJ/fv3c/z4cbLZLG63m3K5jNPppNFo0Gg00Ol0nDx5ErfbTb1ep16v02g0SKfTlMtlisUi9XqdkZER7HY7FouFbDaL1WqlVCoBr4Tfzs5ONY1ic3OTPXv2cM899+B2u1U1+9FHH+XFF1/k7Nmz9PX1MT8/D0Cj0WB+fp6hoSHK5TJ2u11VmZeXl8nn82iaxrFjx3jyySfx+XxcffXV3HzzzTz++OOkUilKpRLFYhGdTsfi4iJra2uqN3t6eponnngCTdMYGhpifHycQCBANptldXWVQCCA3W5naWmJ7u5uCoWCVJSFEEII8UslPci/JJFIBL1eT39/P/39/fT19QGwtrbG5uYmmqaRTqeZn58nmUyqCnI7CKfTaTRNQ6fTYbFYyGQybGxssLi4SCKRoFwuYzKZKBQKjI2NsbS0hMvlQtM0FX49Ho+aenH06FE6OjrY2NjA7/cDr7RitFotNjc3SaVSFAoFHA4Ht912G52dndRqNRYWFtA0jd///d/nrrvu4rOf/SzNZpNIJEI2m8XpdLKxsUEsFiOXyzE1NYXD4SCTyWAymdi7dy9jY2PcdNNNhEIhHnroIb773e+i1+t53eteRygUolQqcfr0aV544QWWl5fx+Xx4vV5SqRRf//rXWVxc5MCBA9x2220cOHAAj8fDyMgIfX19OBwO/vVf/5WXXnqJY8eO4fF4AGSxiBBCCCF+aaSC/Avy+/3U63U2NjZotVpUq1XMZjP//M//zBvf+Eb8fj/Ly8vUajXMZjP1eh2bzYbNZqNYLFKr1UgkEj8VPDVNw+Px4HQ6aTabNBoNSqUSoVCIVquF2+3GbDZTLBbJZrO4XC7K5TJ6vZ5Wq4XP58NqtbJ7926eeuopxsbG0DSNSqWi+pmtVisejwez2YzP51OTNdLpNLFYjHQ6zejoKM888wzHjh1jcHCQYDCIxWJhaGhIhev2ZAyj0cg999zDoUOHSKVSmEwmrFYrH/nIR/joRz/K4uIiDzzwADfddBPnzp2jUChw4cIFHA4HXV1dmEwmjh8/zjPPPMP4+DhveMMbGBgYwGazqQUiy8vLeDweMpkM+XyeiYkJLly4wODgILt27ZJKshBCCCF+KSQg/wJcLhd6vZ5QKMSdd97JkSNH2L59O81mk3/4h3/gqaeeYseOHRiNRuLxOEajEYPBQKFQwO/3o9Pp0DSNWCzGNddcQyqVoqOjQ/X7tlmtVux2O2azmXg8ztjYGKVSSS3xaC8IsdlsrK+vY7PZ1Di0er2OyWRSldvV1VU6OjqIx+NqZvLa2ppaA90OvfF4nIMHD/LGN76R48ePo9PpcDqdaJqGy+Uik8lQLBZVpdxgMODxeLBarfT19VGpVHA6nXz2s5/lc5/7HJ/85CdptVp8+MMfZnR0lMXFRUwmkwrSdrudF198kY2NDQ4ePKhCs9vtxu/3c/LkSaanp3G73erNQiQSYWpqitXVVS5evCghWQghhBC/FLqf51fTOp1Ofo/9f0UiER5//HH27NlDpVJhYWGBpaUl6vU6gUCA7u5uNE2jWCxy7tw5zGYzuVyOUqmEz+fD5XLh9/sxGo384Ac/4MiRI/h8Pi5dukQ6naZer6stc1arlUgkwoEDB2g0Guj1eh599FGq1SqNRoOenh41I9hisdBoNAgEAkQiEV544QV27NiBxWJRM449Hg8bGxuYzWa8Xq+aVpHL5ahUKjQaDZLJJN3d3fT39/OjH/2IW2+9lUwmg9FoJJFIYLPZSKfT6PV6gsEgbrebVqulDs8ZjUZyuRzd3d3s3r2bdDrN3XffzezsLHfccQd33HEHY2NjBAIBXC4Xjz/+OH/913+N0WjkzW9+M9dccw12u518Po/dbmdkZITp6WmefPJJvvGNbwAQDAbxer1UKhXC4TDvete7sFqtjI6OEggELuft8QtrtVq/cMqX16sQr5oTrVbrwC/yDeT1KsSr5md6vUoF+efQ399PMpnE7XbzwQ9+kJ07dzI3N0e9XsdsNjM4OAhApVJhbm6OVCqF2+1WI9tsNhsul4tEIkG1WlUHzu68805arRahUIiTJ0+qUWu1Wg273U4qlaJSqeD1ernpppvU9bRHo+XzeSqVilpbrdfr1erqCxcuEI1G2bZtG0tLS/j9fjKZDA6Hg1KppJZ9tBePuN1u3G63moih0+k4cOAAuVyOZrOJ3W4nEolQLpcJBAKqf7pQKKjDhIlEAkBVgBcWFohGo7ztbW/jM5/5DM888wybm5uMj4/T29tLV1cXP/nJT0gmk9jtdrq7u+ns7GR2dpZKpUImk0Gv19PZ2ck73vEOGo0Gjz32GKdPn1YTMRYWFmi1Wtx7772qJ1sIIYQQ4n9CAvLPoVwu4/P5+KM/+iPe8pa3MDc3R6FQUFXVcrmsNtA5nU71Ne1qsl6vZ9u2bZw7d47JyUn6+/vp6ekB4OTJk4TDYTo6OpidnaVWq+H3+/F6vaytrbG+vk6xWESv16tFIsVikUuXLmGxWHC73SoYWywWcrkcJpOJer1Od3c3DoeDSqXyU6uiDQaDasXI5/OEw2Gy2SzJZJLe3l4MBgM6nY5t27Zx7Ngxms0myWSSwcFBSqUSlUpFPR68cgjQZDLR0dHB5OQk+/btY319XX3O4cOHmZ2d5amnnmJiYkJNpRgeHlarqdurtE0mE/39/UxMTJDP53G73WpixoMPPshdd93FN7/5TR5++GGOHTuGzWZjYmICr9ererGl1UIIIYQQ/xMSkH9GTqcTr9fL/fffz1ve8ha14a1cLgNQrVZxuVx0dnZSr9fZ3NzEbrfj9Xrp7u6m1WrhcrlIpVI4HA5cLheFQkEd2ovFYkxOTtLZ2YnNZmNhYYETJ04wODjI2NgYyWSSpaUlJicnsdlstFotNR7OYDBQLpdxOBxYLBasViuhUAiXy0UoFMJut6s2jfYsYrfbjcViUW0epVKJWq1GoVDAYDAQjUaJxWJcvHiR7u5uRkZGWFpawuPxqMkR7dXX8P96ndvj26LRKI1Gg46ODux2O+l0GqvVynve8x5GR0d55JFHOHPmDI1Gg87OTs6ePYvD4UDTNJ588kmy2Sx79+5l586dnD9/nrW1NTRNIxqNomkaIyMj/MVf/AXveMc7+NrXvsYXvvAFFhcXWVxcZHJykoMHD162e0UIIYQQVzYJyP8Nu92O3+8nGAzygQ98gDe96U2qz7ZQKKiV0F6vl1arhclkwufzsXfvXnXQbnNzk5dffhm/38/evXsZGRmhXC7j9XppNpvkcjlmZmY4c+YMDz74IAaDAZPJRCAQYG5ujrm5OUZGRtTa6HaFFcBsNlMqldSq5nA4TDAYxOFwqFFsq6urFItFqtUqQ0NDnD9/HkBdc7udo13t3b59O88++yxPP/206jEeGRlRm+1mZ2cpFou4XC7VntFsNikUCtjtdqrVKgMDA5hMJjY3N4FX+oVNJhN9fX2Mjo5y++238+yzz/LFL36R5557Dp1ORzqdxuVyMT8/TygUQtM0BgYG6O7uJpfLqa1/nZ2dVCoV9YbkoYce4tZbb+XTn/40c3NzeDweHnnkkctzwwghhBDiiicB+b/Q/nX9kSNHuPHGG7nxxhtpNpuUSiVarZZqr7Barfj9fjXTuFQqMT09zfHjx5mdnWVqaoqlpSWi0Sh/+Zd/SX9/P1arFXgl4GqaRldXFw8//DBTU1Ps27dPVWl37NjByZMnOXbsGAMDAzgcDqrVqgqJtVqNoaEhurq6KJfLhMNhyuUyCwsLzM/P89xzz+F2u3n9619Pq9VSvcPtddSNRgO/30+5XGb37t1sbm6i0+lYX18nlUrh8Xj43ve+x7XXXkskElETJ6rVKsVikUKhgKZp2O12CoWCOiQ4NTWF0WjE7/erSRXtg4I6nY5MJsPo6CgPPfQQ9957L+l0Gr/fTzQaJR6Pc+bMGbU+u6uri0gkQr1ep1qtUq/XKZVKahJHuVymv7+fL3zhC3zta19jenqas2fPSpuFEEIIIf5HZIrFf8Hr9XLgwAHe+c53snPnTsLhMGazmVQqRTKZBKCzs5NWq8XGxgabm5vMzc0xPz/PhQsXuHTpEoDq1TUajbz//e/n/e9/PzabjUwmQyqV4rnnnuOHP/wh2WyWcDjM+Pg4d999N2azmZmZGTRNY2lpSQXNQqFAMBikWCzi9/tVG0I+n1fzkAcHB0kmk2SzWUqlEqOjo/T19fFv//ZvGI1GqtUqmUwGnU6Hw+HA4XCQSCSIRqM4nU7VmrG8vMz3vvc9taCk/Tzkcjk0TSMej2M2m+nt7WVpaYnp6Wk1QaOvr09tA6xUKmiaplpR8vk8JpOJoaEhbrnlFh544AHe9773oWkajz32GI8//ji1Wg2fz0c4HKa7u5vu7m7cbjcAmUzmpw4YtgN2sVhU7Snf/OY3r9iALFMshLiiyBQLIa4cMsXiFxGNRrn22mt5/etfz9VXX43ZbFZrnZPJJB6PB5vNRqlUYmpqivPnz3P06FHS6TSNRoOFhQUsFgv9/f387d/+LalUiqeeeoqVlRWeeOIJxsfHSSaTnD59mnK5zK233so111zD+vo6ExMT/OAHP1BV2/n5eXQ6HUtLS4TDYbxeL/F4HACLxUK1WmVwcJBqtcqpU6fw+/309vbi8XjYtWsXZ8+e5eWXXyYYDHL48GGOHz8OQLPZVDOT26upW60WExMTuFwuRkdH6enp4Y477uDEiRNMTExw4sQJPvjBD3LhwgX6+vq4dOkSbrebnTt3sn//fvW8WK1W8vk8+XwenU6nDhR6vV7MZrPqTT5x4gQmk4nf+73fA6BQKPDbv/3bhMNhJiYmKBaLZDIZFhYWKJfLzM3NcfjwYUwmE41Gg/X1dQwGAwaDAXjlUOTw8DAej4dnn31WqshCCCGE+LlJQP5P3HXXXfzWb/0Wu3fvxmQyqdaJVqtFIBCgs7OTpaUl5ufnOXr0KBsbG0xPT1OpVPB4PIyPj/O2t72Nu+66S/Ua79ixgx//+Mc899xznDp1ioGBAdLpNENDQ9x3330Ui0VCoRC33347//RP/8S//Mu/cO+999Lf308+n8fpdFIqlVQPss1mo1arsby8zL59+7DZbAwNDamRbQaDgampKTVK7ejRo+zatYve3l4ymQx2u51SqYTX68VgMOD1ekkmk9RqNeCVNdmtVotoNEpnZydra2v88Ic/JBKJUKvVSKVSDA8Pk0gkWF5eprOzE4PBQCqVUm8mDAaDqvYmEgl27dqlVksXi0Uee+wxtVWw/eZCp9Phcrno6+vDaDSqtdjRaJTJyUmOHz+O1WrFZrPh8/kwGAwUi0UsFgulUonNzU127dqlrkFCshBCCCF+HhKQ/wPvf//7GRkZUVXO9ki1crmM3+/H4/FQLBZ55JFHePHFF1lcXFRh1WAwsGvXLj70oQ9x5MgR1tfXuXjxIrVajVAoxJEjR3C73Xz729/mK1/5Ctdffz07d+7kzJkz5PN51tbW6O/vZ3R0FJ1ORzabRa/X4/P5CIVCahkoyf7lAAAgAElEQVRJo9EgFAphMBio1+tMT0+j0+kIh8OqT7lQKFCpVFhZWWHfvn3kcjnm5ubYt28fFy9exG63s7a2RjabxW6343A4KBaLeDweOjo6cDgc5PN5stksJpOJrq4u/viP/5gTJ04QjUapVCoMDw8zOTlJKpWiVCphtVrR6/VqNnQ+n1eTKkZGRrBarWqKx6OPPsrTTz/N9ddfTzabZXFxkVqthl6vJxKJYLPZyOfz+Hw+4JXq8NDQEGfPnsVut6uDfU6nk0KhwPr6ujq0ODc3x2233UYul1NfL4QQQgjxs5CA/P954IEH6OvrU5VOo9GITqcjEAigaRrlcpl4PM7Jkyf50pe+RKVSwWq1UqvVyGQyhMNhRkdH8fv9nDlzhnaPd/uwWq1W4+qrr8bhcNBqtQiHw5hMJiqVCqlUSh1AC4fDjIyMMDk5ycjICOFwmJWVFbxeLwCpVAq73U4ymaTRaFAsFtE0jVKppMJ6tVqlr6+PVqvFzMyMWmedSqUwm82k02kcDgfNZhNN04BXpnYEg0H8fj+lUgm9Xo/ZbMZgMFAqldDpdFSrVdbX19Hr9apvul6vq6p1qVSiXq/TbDYxm81Uq1WcTicOh4POzk66urp49NFH+fKXv4zL5eKee+5hbW2Nzc1NCoWCOnDYHn9ns9no6elhdXWVPXv2sGfPHorFIqVSidnZWSYnJ3E6neqaOzs71aKTRCJBo9G4bPeTEEIIIa48ckjv/3P99dczMDDA3r178fl8aJqmftXfbDaZn59ndnaWxx57jNe+9rXceeed3Hbbberrf/KTn7C+vs7g4CDZbJZz586RTCaZmpqip6eHQCDArl27GB4exul0YrFYmJqaYnV1lfX1dTY2NnA6nUSjUfx+PxaLhXK5jNlsVlv14vE4FosFTdMwGAwkEgnq9TodHR1sbGwAEAqF1JSLZrNJMBikp6dHzWlOJpOUy2VMJhOaprG+vk44HMbtdpNKpahWq3i9Xmq1Gt3d3Zw7d45KpYLRaGTv3r3E43EVUg0Gg3qMeDyOpmkYjUYymQx+vx+Hw8HBgwdJJBJ8+ctf5rnnnmNmZoY3vvGN/OEf/iFdXV2q37jdQtJuKbHb7eq51TQNl8uF1WpVh/9CoRCZTIajR4+SzWYZGBggm82qv7edO3ficrlwuVwAV0yrhRzSE+KKIof0hLhyyCG9/4l4PE42m2V9fZ0dO3ZgsVhYXl7m0KFDmM1m5ubmWFxcpNFo8M53vpNQKMT58+ex2+309PRw4MABms0ma2trqi/WZDIRiUTQ6/VcunSJ5eVlZmZmsFqtGAwG4vE4Ho+HarVKOBymWCwSj8dJJBL09PSoGceZTEYtBGk0GhgMBrV5zm63YzabVYBsNps0Gg30ej2NRoNWq6VWXJvNZoxGI61Wi7Nnz6q2kVarRSaTQdM0crmcauXIZrOEQiHy+Tz1ep1CoYDNZsNms1GpVNDr9aq9xGAwUKvVcLlcmEwm4vE4oVCIXC7HN77xDf7mb/6GRqNBd3c3o6OjVKtVFhYWiMVi6HQ67HY78/Pzasufpmk0Gg1VvV5YWMDhcOB2u9Vj+3w+xsbGMBgMNBoNPB4PRqMRt9uNwWDg9OnTXHfddVdMOBZCCCHE5SUBeYvt27cDqH7adDpNR0cHfr+fXC6HzWbj7NmzzM7OEg6HCQQCbGxsqHaACxcu4PV6CYVCbGxsMDc3R61Wo1QqEQqFsNlsjI2Nsb6+TjqdZnV1Fb1ej16vV1vp2u0P7Yp1KpVCr9djt9tVu0Mul8PpdKrDetFoVI2NK5fLVCoVNVM4FovR2dmpqrONRkOtbM7n86qNolAosG3bNpxOJ61Wi0ajgaZp2Gw2Ll68SC6Xw+/3k81mSafTarlIpVKho6ODZrOpJne0r7NararncXh4mAceeIDR0VE+97nPkclk8Hq9JBIJvF4vbrcbnU6HwWDA5/PRarVwOByqOt1+k9AOy9VqlVarpQ7mJZNJdRiyXq9Tq9Vwu90sLi6ysLDAkSNH1KQLIYQQQoj/igTkLXQ6HZVKhWw2Sz6fZ3FxEbPZjNvtRtM0/H4/3d3d9PT0MDY2pvp+y+Uy58+fp1Qq0d3dzcmTJ9XhNofDQb1ep6urC6vVyvr6OvV6Hb/fj9lsBsBgMKj2BYfDQTAYZHl5GavVitPpJJPJUK1W8fl82Gw2CoUC8MqYtnw+j8vlolgsEovF1HQHq9WKyWTC6/X+1OSLQqFAsVhUVd+Ojg76+/tVm0W7bcPlcqmJEn19feRyOQwGAx6PR1ViU6kUVqtVhdZarYbVakXTNJLJJNVqFb1ez9TUFPl8nje96U285S1v4YYbbuDv/u7vWFlZUYG/o6MDvV6vWkSKxaLqPW6v825XyPP5PJubm6rHe2BgALfbzfLyMmazGYvFgtlsRqfTsby8TDabZWVlRfVjSyVZCCGEEP8VCchbxONxdDoder2ecDiMwWBgfX2dzc1NvF4vsViMWq3Gtddey+7du8nlciQSCbUGub2UY25uDrPZjN/vV+un24fF9Ho9uVyOQqGA2+0mEAhgMpkwmUw0m00cDgdGo5FgMKg23zWbTVXlLRQK6PV6LBYLBoOBlZUV9X2z2SxOp1P9uVqtqpXYVqtVtV60+4vbq6YNBgP5fB6z2awWmthsNvXYPp9PhfNisUir1cJqtaLT6XA6ndTrdVqtlrrmZrMJgNFopLOzk0wmQywW45FHHuHWW28lFArxJ3/yJ3zlK19hYWGBUqnE+Pg4w8PD9PT0cOnSJXK5HJVKRVW7l5eXKRQKhEIhTCYTZrNZVaA3NjbI5/NYrVZarRZ6vV5tQczn88ArgVsIIYQQ4mchh/T+r/amOU3TVFjzer0cP36cF154gdOnT2OxWLjlllu4++672b59O9lsls3NTdbW1lQoNBgMarKEXq+n2WzS0dGBpmlqc107YJrNZgqFAmazWQXkTCajqql6vV5NyNDr9RiNRlUhXV1dVT2/NptNLeNwOp3qsS0Wi2plaF+bzWZTwVmv11OpVHA6nVSrVdXbrNfrcTgcqnLbrja3J3YEg0FKpRKJRAKfz0e1WqVWq1Gr1dTPVq1W0TSNVquFpmmqnSMcDrNnzx4OHjwIwIkTJzh9+jQnTpzgjjvu4Oqrr+bkyZMsLy+rdosdO3ZQq9VYXFwkn8/z2te+lkwmw8rKCpVKRY2zM5vN+Hw+TCYTHo9H9UC33xxEIhH6+/uviAqyHNIT4ooih/SEuHLIIb2fRU9PDyaTCafTydDQENdeey233HILBoMBh8PBa1/7Wu69916+8Y1vkM/n+cAHPsCuXbuIx+Oq0lkoFLBYLGqlcq1WU1MnzGazqiLr9XqSySTBYBCj0Ug8Hld9sblcjmAwiMlkUofT2gs/2j3J1WqVYrGo2hja7RvZbJa+vj7C4TDJZFL1FcfjcQYHB2k2m6oXutVqqX7mdk9vvV4nHA6zurqKy+VS1ddyuUyr1VLtCu1xcAaDQf3M7dXX7VnJNptNfe92m4XT6aSjo4N4PE4sFiOZTLKxscHOnTvZtm0bAwMDqpd4fn6eer2Ox+MhnU5z+vRpNE1jaGiIQ4cO8eKLL7K0tEQkEsHtdrO5uUmpVFLLR9pV7nw+j9/vZ3JykrNnzxIIBBgYGOD++++/zHecEEIIIX7V/cYH5FAoRCQSIZvNEovFGBwcxOv1kkql1Kzf8fFxxsfHAWg0Gly8eFEdXNvc3FT9veVyGavVyvDwMPV6nUwmo5ZmlEol7HY7VquVoaEhCoWCqgi32xoqlQo6nU4FU7vdjtFoVK0DtVqNcrmsple01zC3lUolms2mmgbRXh/dnkjhdrtxu93k83lisZj6/wDZbFb1KycSCbXMQ9M0qtUqAPV6nVQqpdocrFYr9Xodp9OJyWTC7XZjNpupVCrqgF87sGuahtPpVL3N586dY3p6mp6eHgYGBrj++utZWVlRbwAqlQqVSgWTyUQymaSvr4+Ojg4CgQBPPfUU+/btIxqNMjAwwMrKinre2gf4nE4ngUCARCLB6uoq4+PjeDyeV/8GE0IIIcQV5zc+ILerosFgEI/Hg8Fg4OTJk6ytrQGoZRO9vb3UajUuXryots9dvHiRSqVCIBAglUrhdDrRNI1YLEaz2VS9v36/H71eTygUwufz0d/fTzKZZHx8nHw+rwJpO5C3K7uVSgWfz0ehUKDRaFCr1fB6vQQCAa666ipeeOEFXC4XDoeDpaUlgsEgO3fuxGazAa+0RvzgBz9Qh/2azSbxeJxCoUAqlVIV3/bcYrPZTLlcZm1tjUajofqO21Vuo9FIJBJR4dXhcGA2m1Xw9fv9/25r3blz5zh79iyFQoFyuUw4HEav12MymahWq1y6dImNjQ2GhobUm4x8Pq9mKB85coTV1VVarRYLCwvMz8/zk5/8hGw2yy233KLCertCr9fr1RuE9rQPv9/P4uIiHo+Her3+6t5gQgghhLji/MYHZACv10t/f79abbz1YNfS0hLz8/O88MILKly1ZwO3q7x2u51CoUCtVkOn01EqlVQwa886drvd9PT00NPTg9VqZXNzk3w+r8bCGY1GwuEwFy5cIJlMUigU1CE9gGAwSDKZpKOjg4GBAYaHh8nlciSTSXQ6HaFQiHA4rJaPwCsVX5/PR7FYVJvlLly4gMvlIhqN4na7sdvtZDIZKpUKxWJRPRfpdJpMJkM+n6e3t5dcLofJZCIUCpFOp6lWq2qmMrwSxgEKhQK5XI6FhQXOnz/Pm9/8ZtLpNIlEglqtRr1ep1qtqhYWm81GvV5nbW0Nt9utDvwNDg4SiUQYHR1ldHQUvV7PuXPnWF5eJhgMMjo6Sn9/P8VikXq9rlo/IpEI1WqVer3O6uoqXq+XYDCIxWIhEomov1shhBBCiP/Mb3xAPn36NNFoFLvdTjQapaOjA3hlhFl79FqxWFTBt1ar4XQ6GR8fJ5lMqlFng4ODKiS3l4O0D6vt37+fQqFAJBJhZmaGRCLB6Ogo2WyWYDBItVpVATQcDlOtVmk0GkQiEbWAI5/P4/F4GBwcxO128/TTT9PX1/dTVdH2KLZTp05ht9sZGxtj//796hotFgvRaBS9Xo/BYCCXy6HT6ejo6CCXy+H1etXouu3bt9Pb24vFYuHZZ5/FYrHQarXIZrNqgkapVMJsNtPf38/p06f50pe+RDabRafTsWfPHm6++Way2SyAWjDSbutwOp3qeZ6enubmm2/m0qVLZDIZDh06xMDAAGfOnOH5558nnU6rldYjIyN84AMfYGNjg6mpKRKJhOrHjkajbG5uYrFY1Cpvt9utAvWBAwfw+XxqbrUQQgghxH/kNz4gA2xsbBCPxwkEAthsNjX72GKxqPDZnk7hdDpxOByEw2GCwSAAiUSCZDKpqqEWiwWfz6f+nc1msVqteDwepqamyGQy7N27F4/HQy6Xo1qtqtaHZrOpen9LpZKaLBEKhfB6vTidTgwGA+VyWU2PALDZbBiNRjY2NtTXaZoGgMViwWg0YrFYWF9fJx6P43a7yWQyBINBOjs78Xq9qt/YZrPhcDjI5/NqWka9XlePkU6naTabGAwGWq0W8XicG2+8kenpab797W+zf/9+duzYoaZyNBoNAMrlMtFolOHhYbZt24amaSwuLmI0GqnVamq1d3t6x8zMDE888QQDAwN0dXWpNpj2Yb/2ocP247Qr9ZVKhVKpxK5du9DpdCwuLnLx4kXS6TS7d+/mNa95zWW4y4QQQghxpfiND8hDQ0Ok02nOnDlDpVLhnnvuoaenh7W1NTV5oV6vYzabCYVCOJ1ObDYbHo+H6elpNXEBXulX3tjYIJVKYTQaSSaTxGIxent7sdvtGAwGNZGiVCoRDAZpNptYrVZGRkYoFovMz88DEAgEyGQyeDweyuWymqvcaDRIJBJq/Fur1aLVajE/P08mk1EH8ur1Oh0dHQSDQVwuF9lsVrVM2Gw2urq6iEQilMtlstksdrudUqkEQCaT4eTJk4TDYZaXl+np6aHZbLKxsUG9XlcH8srlMvF4HKfTidls5u1vfztnzpxB0zRCoRD9/f2USiWy2Sy1Wk2tt26HepPJxNDQEFarle9///tomobL5SKVSlGv17nxxhuZmZlhZWWFSCRCOBymp6eHVCql5iS321hWV1fZ3NykWq0SCATo6urCZDLR0dGhquVms1mFdSGEEEKI/4z+cl/A5XbhwgVKpRJTU1O89NJLfOc736FerxOJRPB6vVitVvr6+ti+fTvDw8MEg0FqtRrT09OMjY3R0dGBy+XCbrerX91v27aN8fFxent7CQaD9PX1UalUSKfTagvczMwMsViMpaUl4vE4xWJR9Rhrmqa24NntdrxeLy6XC5PJhN1uV0s8DAYDer1ejTVrj4VrV5jn5uZU5drj8ahgHAqFSCaTOBwOHA4HxWKRXC6n2it6enpUxdrv9+PxeDAajWpSRHsbX61WIx6Pc+HCBf7+7/8ek8nErbfeSqFQYGlpiVKppDb7NRoNvF4vHR0dxGIxnnzySaampkin03R3d6uWDrvdTrVaZXV1lW3btnH77bfj8XhYXV0lmUyqn6/d2jE2NsaRI0e4+uqrcblcZDIZNUYulUrhcrnYs2cPlUqFlZUV1tfXL/ctJ4QQQohfcb/xFWRALexYXl7mi1/8Ivl8nvvvvx+v10s4HOb8+fMcO3aMVCpFNptldXWViYkJPvKRj7B//35KpRKdnZ1YrVay2ayaLWyz2dRUh0OHDqnxcPV6nY2NDUwmEy6XSwXE9ua3kZER8vm8OvTXHncGsL6+TiwWY2VlBb1ej9vtZnFxkfX1dbq6utTEjPbhv/ahvHZfdHuRR3sWcvu/ATRNIx6PqzcHp0+fZmZmhhtvvFGNkDMajWpcXbPZxGaz0Ww2iUQiNJtNNeO5vQK7vQGwPZUiGAxis9k4deoUKysrmEwm3vWud+HxeGi1WpRKJRqNhlqb3Z708cQTTxCLxbj22muZnJzEZDKpzX3t0Xmrq6tqG2G76t5oNDhy5AgTExOqr1sIIYQQ4r8iARlYXFxkaGgIv9+Pw+Hg4Ycf5pFHHlFtEk6nE6vVqoKvpmnU63U+//nP8/a3v50bbrhBVS9jsZgKqF1dXTidTnp7e5mamuITn/gEc3Nz9PX1qXAYi8VYXl5mY2ODgwcPsrq6qtZFN5tNGo2GGj/X3mY3OTnJxYsXyWQy7Ny5U62xLhQK2Gw2db1+v5+NjQ1qtZpaz5zP56nX63R3d5NKpbh48aKaQNEO9cvLywwODrJz505qtZpqA7Hb7TQaDdW2kclk2L59Ox6PR62cBtTz1B61VqvVGBwcpL+/H4fDgcViodFoqF7o2dlZhoeHKRQKeL1elpaWKBaLqvXj4MGDrK2tMTs7y8LCAtFoVM1WbjabHD9+nLGxMUZHRzEYDGQyGbUxL5PJYLFY6OzsJBKJsGfPnst5qwkhhBDiCiABGTh48KBqAfB4PGqTXLPZVJv22mPQ2pMqPB4PJ0+e5KWXXiIQCNDb24tOp+Pmm2+mv79fLQfRNI3PfvazfOc731Gzj9vzlNsb8I4ePcq3vvUtDh06xCc/+Ul1XdVqlfX1dUqlkmrDmJmZ4ejRo7RaLbq7u8lms2pkW7tlQqfTUa/XKZfLpNNpDAYDxWJRTZBor30OBALqcF6pVGJxcVHNEo7FYiQSCfR6vep9NhqNasqH3W4HXjkc6HK5KJfLlMtlkskkiUSCQ4cOqd5nvV6vwmx73FwikeDMmTPcfPPNrK+vq17rfD6vDkm2J4fodDoOHDhALpdjdnaWW2+9FXhlPN/a2hrf+ta3CAQC9PX1sXv3brLZLDabTW37a1evA4EAm5ubr/4NJoQQQogrym98QB4aGqJYLHLp0iWCwSCFQkGtd3Y4HD81icFqtarlGtFolNHRUcrlMrVajUwmw3333cf73ve+f/cYhUKBUqnEmTNnmJqaotlsqoD5B3/wBxgMBubn51ldXeX48eMsLS1hNpvZv38//f39qnptt9tZWFigVCpx/fXXs23bNkwmE9FoFE3TsFqtuN1utf46lUrR1dWFzWbDarWq1dTtfuJisUgikSCVStFsNvF6vUxPTxOJRHC5XCwuLtJqtRgbG8Pj8TA7O4vL5SIQCOD3++np6aFWq6lAajQa1aHFvXv3qkp6OBzG7/fT29uL2+2mWq2ysrKi5iKn02m1nKRSqWC1WgkGg1y6dElV07u7u7nmmmtIJBKsrKzQ09NDOBxWc6snJibw+/0qWBcKBWKxGKlUimKxSCQSIRQKMTAw8GrfYkIIIYS4wvzGB2Sj0cjAwAAjIyN4PB56enqIRCLY7XacTqfaXOd2uymVSqytrTE9Pc2PfvQjvve97+H1eolGoywuLlIqlXC5XPzO7/zOTz3GnXfeqeb8Xrp0SfXQGo1GOjs76erq4vDhw5TLZc6dO0dXV5eqXM/Pz5PNZonH43g8Hvr6+tjc3OS73/2umt3c3d2Ny+XC5/MRDAbVVAl4pQrdnlzRbDbVLOVsNksymVSV12QySavVwu/3E4vFOHr0KNVqlWAwSCwW4/D/Ye/Og+M8r3vPf5/e973RCwCiQRAkuFOkSC1eJFmiIsmWl4ltZZLITjIzLldK5cpSN5Wtpnw9Tm5uJVOem+SPpGpG5cSKZVVslStWSrZlSbZMS7JESaTEBRQJkMTaQO/73u/8Qb7PBZ3EliNZNK3zqWKRBBqNF2A3efrwPL9z0016eUc6nabf71Mul7HZbEQiEXq9Hk888QR/93d/R6fTIRwOEw6HMQyDzZs3MzExob8fx44d0+MUZqc7Ho9jsVjo9/tks1n9vTE3HW7evJler8fCwgKJRIJer8eRI0dwOp10u13+5m/+hpGREW6++WbOnj1LrVbjwoULlMtljh8/zsGDB/nIRz7ytj62hBBCCHFtekcWyHfeeSehUIjbb7+do0eP6ozgkZER7rrrLqampvB4PAwGA72oYzAYMBgM2LFjB3feeScf//jHOXHiBI1Gg0gkwsGDB9m5cyfHjh3je9/7Hp1Oh2Qyid1uZ/v27fzKr/wKsViMgwcPMjc3xyOPPKIP5V133XXccMMN1Go19u3bh1KKqakpnE6nTrqYnJzU6Rqjo6N84hOf4PXXX+fZZ5+l3++zvr7O+fPn6Xa7WCwWPU5hLstIJpPYbDZsNhsul0sfhhsOh3oznsViYXFxkYsXL7KwsECn02FsbIxSqUQymWTr1q24XC6+8pWv8Oqrr7K8vEytVqNer+tteYlEgr179+rVz7FYTOdFA7z22mt84xvf4Ny5c3S7XUZGRkilUly4cIFut4vL5WLHjh06iUMpxfj4OH6/X2/hO336tE71uHjxIi6Xi3q9zqOPPkqhUMDv99NsNjl69Cjf//73KRQKfPWrX72KjzghhBBCXEuUYRhv/MZKvfEb/5xKJBKEQiHC4TDJZBK/36+7uMlkkl27dtHpdDAMQx86y+fzBINBLBYLmUyGarWK1+vl6aefJhqNcvDgQZRSzM/P02w2SafTVKtVTpw4weTkJKlUiqNHjxIMBvWYhtfr1UWe+cNiseiuqcVi4dlnn+Wpp57SH+d0Omm32xSLRb797W+TSCQ4ePAgY2NjJJNJIpGI3uBndmN/+MMf8q1vfYtvf/vbBAIBpqam8Pv9hEIhAAqFAqdPn6bf7zMzM6PXXpszxy6Xi2KxyJkzZ+j3+3q8wlzQYR4gNL9XZ8+e5cCBA7z44otcvHiRiYkJfD4f9XpdzwR3Oh0WFhZwOp2Mj48TjUaZmZnRYxB+vx+A9fV1nnjiCV5//XX9QmR6eloX9uaLi4985CP85V/+Jb/1W7/FD3/4Q5577jnW1tbo9/vMzs5enQfam2QYhnqz9/GL8HwV4hrxkmEY17+ZO5DnqxBvmzf0fH1HFchjY2PUajVdlJnpBolEgtHRUSYmJnTyQqVSweFw4Pf79fKNubk5PB4PmUyGdDpNNBrVnVozizifz6OU4uDBgzQaDRYXF+l0Onr7nN1uZzgc4nQ69YiBuTmu1+vR7XapVqsEg0GOHz/O3NwcLpdLF8L9fl93jF955RV27tzJjh07cDqduvhut9t0u10cDgczMzP66//Sl77E008/jcfjodvtEovFdGpEOBzmlltuIZvNMhwOiUQiRCIRvUhkeXmZM2fOcPz4cWZnZwmFQjo6bmRkhKmpKQ4fPsxzzz2HzWYjm82ysLBAPp/H7XbjdDoB8Pv9TE5Okk6ncTgczM/P84Mf/EDPeff7fd35rtfrDAYDwuEwoVBIj41Eo1HGxsbYvHkzO3bs4O677+ab3/wmwWCQV199lbm5OYrFIqurqzzxxBNX5bH2ZkmBLMQ1RQpkIa4dUiD/e8LhMNFoVM8XZzIZotEoXq+XeDzOXXfdxfPPP0+tVtOxZoZh0G63KZfLGIbB+Pi4nsc11xp3Oh2dgexwONi6dSsej4eXX36ZZrNJs9nEZrPhcDgYDAYYhkG/36dareoFIH6/n1gsxqZNmzAMg0ajAcDLL79MJpPRyRoAq6urvPTSSzidTt773vfS6/WoVqsEAgEikYiOiKtWq4RCIaampjhx4gSPPfYYSikMw2DPnj186EMfIhKJAHDixAldiBaLRd2FdjqdjI2N6SIXYHZ2lu985zs88cQTdDodCoUC09PTRCIRHA6HLvgrlQpLS0uUSiUdz1YqlfD7/Zw+fZp6vc7mzZu599579f2bnWullL6efD5PPp/n5MmTPPPMM3i9XhKJBMVikWg0ytramh7XMFNIrFYrlUqFhx9++G1+lL15UiALcU2RAlmIa8cber6+42aQP/ShD3H06FFyuRwAlUoFuLSA49VXX+XAgQP4fD4CgYDu1Jpzuq1WC4/Hw+LiIrVaTcepdTodqtUqxWKRfr+P2+0ml8sxMjLCysqKXsgxGAxoNBrYbDY9XmGubDwrMegAACAASURBVG40GgQCAT3P63Q6GQ6HHDt2jJdffllvnAuHw1itVvbs2YPX62Vubo7t27dTLpe5ePEi+XyearWKxWKh1+sxMjKiM4pvv/12er0eL7zwAm63m6mpKUqlEo1Gg2w2Sz6fp9FoMD4+Tr/f1/FvzWaTtbU1/H6/vi/DMLjjjjtIp9PU63Wef/55vF4v99xzDz6fj1arRblcZn5+HrfbTa/XY319nUKhwMTEBPv27eM3f/M32bdvHxMTEywvL+s10GYknGEYKKXw+/2k02ldQD/wwAO8+OKLpFIpfc39fp8TJ05w7tw5IpEITqeT+++/n0wmw4c//GHuu+++q/OAE0IIIcQ15x1XIH/xi1/klltuod/v02w2WVxcZHFxEYvFwg033KBTGVZXV2m327TbbXq9nu7yDodDvdjDPIhndkqtVqueswX0WEWn08HlcumsYHMrntnljUajOBwOvbCjWCwSiUT0auZ9+/YRDAaZmZmh1+vRaDQIh8PMzMywsrLC4uKivkafz0e5XKZer2O1WrHb7boATyaTGIbBhQsXmJ6e1r8HdNZxvV7n3Llzet21+aNWq5HL5bBarezevVvnKqdSKer1OjfccAOdTkdvCSyVSgwGA30A0jwAuHfvXh544AEikQhjY2M0m02KxSKGYWAYBq1Wi2azSaPR0EtPqtWqTqQYHR3l137t18jlcpRKJZrNJqurq/j9fj0bXa/XKRQKLC8vc8stt3D99ddLgSyEEEKIN+wdVyDDpQ6lw+HQOcDJZJJ3vetdfPSjHyWXy+kCt9Fo6PEKc5NdtVrFZrMRDAZZWFig3W7rRRhut5tOp0Or1WIwGDA3N0coFNKFtc1m08Vxv9/XneV4PE4+nyeXyxGLxfSccqvVwmKx4Ha7qdVqVKtV3bV2u914PB6CwSC5XI6pqSlOnTqFUopYLKaLVaWUXsBhrm8eHR1lZGQEh8NBt9ulVCrRbre5cOECg8GATqcDXNqsNzo6SqfTYX19nXg8jsPhoFAo0Gw2dbE+GAyIx+Nks1kajYZeQLK0tESxWGR8fJxyucyHPvQhDh8+TLPZpFAo0Gg0aDab+ntis9l0kWzed6/XIx6PMz4+zm233UY2m2VtbY1oNMqxY8dwOBxEo1H9gsfcFGi1Wnn44Yd54oknSCaTfOlLX+L++++/Og84IYQQQlxT3pEF8pEjR9izZw9jY2PMzs7S6/V473vfSzwe59ixY5TLZQC90CMUCmG327FarQSDQV3geb1ems0moVCI4XCI1WrV2+PMjXaDwQCLxUKn08Hj8WC32/X4gt1up9PpcObMGaxWq56ZtVgs+oCaWTCfO3dOZwCvr69z7tw53G43t956q76feDyuO7Dm9XY6HdxuN/1+n263y5YtWzh37hxKKb090CyMN26fMw/oDQYDrFarTp8wx07Mz2W+0LBarXi9XqxWK9VqVR+om5iYIBAI8Oqrr7Jt2zZisZhOsFhbWyOfzxOLxSgWizidTtxut16NPRgMUEqxsrJCu93miSeeYPv27Zw9e5ZXX32VfD6P0+kkkUjoueV4PM7o6CgWi4WvfvWrLC4uMj4+zpe//GU++9nP8tnPfvYqPvKEEEIIcS14RxbIcKlwC4fDvPbaaxQKBSwWC+l0mqmpKb2cwxx7iMfjpFIpotEo3W6XpaUlFhYW9Pxut9vV0WgOhwOr1YphGPh8PgaDgY5na7VaBINB+v0+Sv3PM1jmHHMwGMRut+N0Oun3+1y4cAGllM5ortfrlMtllFJ6ccjo6CiGYdBsNvF4PORyOfL5PJFIBKvVyvLy8hVLR1ZWVnj88cfZv38/5XIZq9Wq0yPMQt5qteqCtVKpkMlk2LlzJ08++SRKKXbs2KFHRhqNBj/84Q+ZmZnB6/XqLnmj0dDJICsrK4yPjxOJRLDZbAQCARYXF/WYRqPR0F3vcrmMw+HAbrfT7XZ1DF0kEmHXrl1cf/31/NEf/RHZbJY77riD3bt3s2vXLnbs2MHmzZux2WxX/Bl/7Wtfo1QqcdNNN7F79+6r8VATQgghxDXmHVsgm4Wv3++n2+3ywgsvcPjwYVqtFslkkmAwSD6f1+ub8/k8w+GQ0dFRPe8KEIvF6Ha7DAYDvabazBm22Wy0Wi0Mw8Dlcum1yMPhkHg8rpMqzMNwcCkGzSzyHA6HXn+9uLhIIpHQCRH1eh2328358+cxDINarca5c+fI5XJ4vV5dkCul9Pplc+GJuUo7n8/rmDmLxYLX66XRaOgUC/PjOp2OLl69Xi+5XI54PE6n0+HrX/86L774Itu2bdNb7er1Oi6Xi02bNumRFJfLRbfbRSmFxWKhUqnoFxFKKarVqh4F2bZtG1arlVqtxtraGoPBAL/fTyAQ4LHHHmNsbIzf+Z3fYefOnUQiEd25Xl9fp1wuk8vlMAyDu+++m+npaR5//HFSqRQHDhy4ao83IYQQQlw73rEFcqlUYnFxUY8VfOMb32BiYoIdO3boSLZOp6P/u79YLPLggw+ydetW7rjjDjKZDMvLyzSbTV14Wq1W3G73FfPK1WqVTCajM47NUYter6cP6ZlJDeZBNXMsw0yQ8Hg8rK2tYbFYsNvtOtGhWCxSr9dpNBosLy/T7XZJpVIEAgFKpZIee1hfX8flcrFt2zaCwSAnT57E5/PpJR9mCkS1WtVZyo1Gg6WlJeLxOL1ejwsXLugUi5WVFYbDIeVymfX1dSYnJ3G5XDgcDkKhENlsVi9feeWVV3REXjabZWlpSW8oTCQSet47n8/j8Xj0rw3DoFQqYbPZmJmZ0ckaExMT/NVf/ZUu3LvdLo1Gg1KpRDabJRQKEYlEqNVqnDlzBqUUu3fvxu12X7HuWgghhBDiP/KOLZDNnNxUKoXFYmF9fZ3Pf/7z/PEf/zGbNm3SecOdTod6vY7H49Eb537pl36JbreL1+tlMBgQCoUIBoP6gFuxWKRUKmG323E4HPT7fQqFgp5JNscrNq6yNueOAX0Ir9VqUSwWOXjwILt27aJarbJ9+3Z8Ph+NRoNqtaoP71WrVb3a2ix4zVGNSqWCz+ej3W4TiUS4++67UUpht9tpNpsYhoHNZtNfk81m0+uhzdvE43FuvfVW2u02y8vLZLNZAN797nfj8/lIJpMEAgGdNJHJZGg2m/j9fobDIZs3b2Z1dZUTJ05gt9vZsmWLHukwD9WZX3M2m8Vut2Oz2RgbG9PJFNFolMnJSZRSlEolDMOgWCzqw4ELCws6g9rtdrNr1y7a7TaBQIClpaUrxlqEEEIIIf4j77hFIRt99KMfJZvNcvHiRSwWC91ulxMnTtBoNFhdXdVjAOl0mq997WssLi6yf/9+tmzZgs/nY2FhgU6no4vSRqPBcDgkn8/rYtTM8g2FQsRiMd2dbrVadLtdvRbaPBgYiUQIh8MEAgFisRixWIxqtUoqlaLRaFAsFun1enzve9/TB/vMLmy328Xj8aCU0gcM6/U6SilsNhs+n494PE40GtUJHt1uVxex5XIZi8VCu90mmUzSbrf1yIZSCpfLhd/vx+/367QOc554bm6OT3ziEywvL7OwsEAwGMQwDNbW1rDb7frwnMvlolqt0mw2KZfLVKtVnfs8GAx0Rz0ej+uV24PBgFqtRrfb1bF0pVKJWq3GYDDA6/USi8WIx+N6k6C5wMXn8+mRi8985jNX7bH205JFIUJcU2RRiBDXDlkU8pNks1lcLhder5dqtUokEuHpp58mnU4TDAb14o5jx47x2muv6QSHQ4cO4XK5SKVStFot1tbWaDQaemW0OQ5gvs1ms1Gr1Wi1Wnrmud/v6xQMwzAYDocEg0EqlQq1Wk1nBC8sLGC326nX63S7XZaXlykUCpw/f56JiQkGgwHwPxM3zM155lISh8OhO7vFYlGnbbTbbb2YY2FhgXQ6TaPRIBgMAuhlI+YYhmEYehbZ6/XqcQqzYHY4HNRqNUZGRqhUKvR6PT1b7fP5yOfzzM/PY7FYCIVCusCu1WrU63U9X20ebDTfZ16jmdFcq9X0zLTFYiEajZLJZEgmk5RKJSqVCvV6nUqlwp49e9i/fz9Wq5VSqXRNFchCCCGEuHre0QXykSNHuO222+j1erTbbaampvjWt76lRwbMA2dKKZLJJBcuXOCRRx6hXq/zwAMP6Nnj6667jng8jsVi4fTp05w6dUovBzHnb80otlwuh9vtZnR0lHA4rJeM9Pt9Op2OLqaPHj2qo9VcLpcuKs0sY3PkwhzH2NhtNePdnE4nHo9Hd1PNRSSFQoGlpSUcDgfhcFgfyDPj7MwxEPNHu93G5/Nhs9l0frG5rjqXy+l10MeOHeOGG27Q3eBwOEyr1dIb9Hq9HslkkuFwyMrKCpFIRBf4cGnsxel0Uq/XabVaALowN9d8u1wuDMPA4XCwc+dOJiYmqNfrrK6u6pnwYDCI3+/n4sWLeDweZmZmcDgcupsvhBBCCPHjvKMLZICnn36amZkZPSYRjUYBdLav3W4nkUgwHA51B/fhhx/m2LFj3HzzzXrcoNvtsnfvXu688062bdvG3NwcS0tLLC0tsba2pueAN23aRCAQuGKkwTzY5/F4KJfLugNss9nweDz6wJpSCp/Ph8vlotPp6JXM5n2Ys7xmcoXX66XT6WAYBuFwmFKpRK/Xw+Px4HK5cLvdDAYD3TFvNBrUajWcTiehUEh3bfv9PqVSCUB3eAeDgX5hYY5evPLKK1QqFTZv3ozf78dqtRKNRqnVanpkwyyCfT4ffr9fx+SZSRzm2InL5WJpaYl2u004HGZ8fBy3243T6dRfW7fbZX5+nrNnz5LL5UilUgSDQZRSeL1ekskkmUyGYrHI8vIyVqv1aj7UhBBCCHGNeMcXyHBpg5vVamVqakqPDJiFpDnja87L1ut1ms0mR48exe/367i2UqnEN77xDf7kT/6Ee+65h3vvvZdUKoXb7cYwDM6dO6dTLCqVCkop6vW6Ll4B6vU6vV4Pr9dLKBTSm/R6vR5wKQLO3NZns9n0XPDG25gzuGbyhjm6EQgEKBaLerzD4/HQarVwOp1s2rSJ9fV16vW6/l40Gg1d0Pp8Pj2j7fF4yGazOrfZzF4eHx9nZGSEf/qnf2J6eppf/dVfxefzsba2povZUCikI+YikcgVs9KAXstttVopFAoA7Nmzh1AoRCgUolwu69GNcrlMqVTS0W6BQIB4PI7L5SKfz1Or1ZicnKTX6zE7O8vOnTv1wUMhhBBCiB9HCmTgxIkTbN26Fa/Xy9jY2BWH5iwWC6VSiRdffJGTJ08yOTnJF77wBW688Ua63S6AXmyRz+d59tlnOXLkCP/8z//M9ddfz8zMDJs2bSISiXDmzBlyuRxjY2N0u10d9eZwOBgOh/pgn7k4xO12Y7PZqFQqOgbOzEs2N/glk0mazSa5XA6Xy6XTKMwDfGaMnbnlz+fz6ei6fr+P1WrVxX8mk6FcLlOv1xkOh/rwX6/XIxgM4nQ69UFDM4YO0AXr9PQ09913H3v37mXPnj2cOnWKQqGAw+Gg1+thGIbuiFcqFarVKoZh6MOMXq+Xfr9Pq9XC5/ORTqdJpVK89tprnDlzRmcmnz59muFwiNvtJhgMEo/HCQQCOg3EfMERDoex2+14vV49siGEEEII8ZNIgQzce++9nDlzRi/4MAtV87//z58/T6fT4fd+7/f45Cc/yWAw4LXXXmNtbe2KJIlQKMRtt93GoUOHOH78OK+//jqdTofdu3cTjUb1GEez2dSroWu1mp4XNrvD5uE4c8OdWUBms1kCgQCBQIBCoUC/3+fixYuEQiFddJsb8cz5Z5fLhdVq1fPF5sIQc3zDHA8JBAIsLCxgs9lot9t6jtjv9zMYDHA4HHqeuNvt6oi2arWqO85btmzhPe95D+Vymccee4xcLkcgEKDX6+FyufQ4CFzqhpvpGBu75XCpIDe3D546dYpyuUy73aZWq+lRlF6vR6vVwuv16mQOcyTE/B8An8/H+vo67XabLVu2XM2HmBBCCCGuIVIgg+48mmMVTqdTF7H5fJ5yucyNN97IrbfeyiuvvKKXcBQKBR3b5vV6yWazeunHxMQE8Xic2dlZnf4QiUTYsmULtVpNr6Y2o83Mw3E+n09nMJtFot/v1z8HAgFsNht79+7VxWw0Gr0ius28f3N7nWEYenGJ2XmNRCJ6PKJer+u5aLP7arfb9drnVqulI+9WV1cZDof4/X5d0JppFefOnePll19mfn6esbExtm/fTqFQ0NfpcDh0uobVaqXZbJLP57lw4QJut1svQjG/xnQ6TS6X01+P2bE38549Ho/eAGiOrzQaDdxuNz6fj2q1yokTJ5ientaz2UIIIYQQP4kUyKA7pna7nW63q9MrzJXIW7Zs4ZZbbqFUKrG6uspgMODVV1/F4XCQSCSo1WosLy/j9XoZGRnRMWoWi4WRkRGKxSJOp5NIJILdbtdrleFSfNnq6irpdBqXy6WLvlqthtvtJp1O63XK5XKZbrer49SazSb9fp/Z2Vm63S7BYBC73U4sFtMH9FZWVvTnNDvIzWZTp2qUy2WGw6EedxgfH6dYLAKXCtFWq4XVatVjH/1+n02bNuHxeGg2m7jdbkqlEs1mUx+O2759u97iZ8bdmUtQzDXZZlHt8Xj0bPBgMNAFsvkiYTAYEIlEcDgcdDodarWajqIzO8XtdlvPLLvdbgC8Xi/nz5+nXq+TTqffvgeTEEIIIa55UiAD3/zmN7n++ut13rCZpmAWhDfddBN2u53l5WXK5TLnz5/H5XKxZ88enWW8tramP8YwDPx+PwCJREIfEjOj3Ox2O61WC6UU6XSacrlMv99nOBxSKpUIBAKkUimKxSKnTp2iXq/jcrmIx+N6hthms+lRiqmpKWw2G71ej5WVFbLZrE6K6HQ6eqW1w+HA7/fj8Xj06IPZya7X6xw8eJBCocDs7CzRaFR/LqfTqVM8nE4nLpdLb/kz12JHo1FCoZDOJzY3/JXLZT0+oZTS4xFKKVKpFIPBgGq1SjAYZGRkRMe+eb1ehsMh9Xpdv3Dp9XpXHKIcDodUKhXsdjs+n0+PXDgcDj2WEYlE6HQ60j0WQgghxBsmBfJlFouFbDbLoUOH8Hg8rKysMDY2xvXXX0+v12NtbU2PSoyMjGCz2VhbW9MpDHa7nZGRERYWFigUCjidThwOB8VikcXFRVwuF5lMhtHRUZxOJ91ul3K5zOLioi5iR0ZGiMViGIbB66+/jtvtZtOmTbpYNbu0nU6HU6dO6WLXzCWOxWLYbDbi8TjpdJrZ2VlisZhOs/B4PHqEw263Y7FYiEQiXLhwAbvdzve//32i0Sjbtm3T3ddgMEiz2aRQKGC1Wtm7dy+vv/66jnur1+s4nU5KpZKepXY4HAA6ucJqtZLNZnVMWyqV0uMdvV6PrVu3cttttwGXkixmZ2eZn5+n3W6TTqex2Ww0m02azSbZbFanXly4cAGHw6EL/2AwSCgUolarsbKyQqvV4rd/+7elOBZCCCHET0UK5MteeOEF2u02v/zLv4zdbmdycpKFhQUdn9bv9zEMA6fTqSPWDMMglUrpxIter0e1WsXhcNButwGIxWK6Mz07O4vP57uiUDQMQx8GjMViV3Rfm80mxWJRb70zRyeazSatVotGo4HL5dLrmRuNhr5O87oDgQCDwYB8Pq8XcAwGA+LxOF6vF5fLRSAQoNVqcdNNN7GyssK5c+fweDwEg0GdaGFG2kUiEXw+Hz6fTxfGZmydWSBbLBZdxBaLRQqFAsFgkIMHD7K+vs5TTz1Fs9nU3fpcLsev//qv68/p9XrZvXs3N954Iy6XC7vdrue8Q6EQwBXjLeYcuNPpJJ/PEwwG2bdvHy6X6+1+GAkhhBDiF4AUyBusrq5isVjo9/vE43E2bdpELpej1Wrp/9I3Z2d7vR6jo6OEQiE9rrC8vMxwOKRWq9Hr9YhEItTrdcbGxvS4QS6XI5FI6Fllt9utM5HNXGTzMJ4Zp2azXfpjstvtepFHtVrVW+7MMQ0zc7jZbOqlJ+Zsscfj0SkQZqawOTZhrnPu9Xo0Gg09gmEmYjgcDr1kY3FxkZtuuonl5WXW19f1ocNKpcLCwgKVSoXBYKALf5fLxaZNmxgfH6darZLNZonFYoTDYTKZDJs3b8bpdPL1r3+dp556ihdeeIETJ07QbDZJJBLY7XY2b96M1WrF4XAQi8V0VvRgMKBYLOrvrblkpNfrEQgEmJqaumqPJSGEEEJcu6RA3iCXy/HUU09x2223UalU9Hpjcx7WXNns9XqxWCyEQiHdHTUP15ldy16vR61W0x3e8+fP43A49IwsQLlc1mkZ5iE2s5trzh07HA7dcTav0Uy8MNdSm0kOZupFo9FgbGyMYDDI2tqa7uq2Wi1isRiZTIZcLke/36dWq+nFIWausXkoz5zr7fV6ulBOpVI89thj3H///eTzeTqdDolEAsMwGBkZuWJzoDnWMTY2prvbiUQCr9dLKpUiFArp6LdPf/rTfPrTn2Z1dZU/+7M/48knn2RxcZGpqSksFgtWq5VYLEar1SIYDDIcDnX6iJl13Gg0dBKJeTBPxiuEEEII8dOSAvlH/OM//iPVapV77rmHrVu3Yrfb9ahDp9MhEAiQSCR0JzOZTNJoNDhx4oQ+JOb3+3XBa+YeR6NR9u3bRzQaZTAYsLa2RqvVolqt6rxjwzCuWB9tbpYzD/VtzAfesWOHTqlot9sYhkEgENAF+crKCvPz87pTbbfb9frnYrGoRzTMg4VKKS5evEiz2WTr1q14PB76/T7dbpdWq6VzhjOZDJ/61Kc4efIkN998Mzt37iSdTuPxePThOTPb2Uy4MF9gpFIpms2mHlWp1Wpks1m9nTCZTPLe976Xv/3bv+Whhx7i7//+75menubAgQMkk0l8Pp9ebLKyssKOHTuIx+MAzM/PUy6XiUajJJNJ/YJCCCGEEOKnpQzDeOM3VuqN3/gaZRaCMzMzvO9979OHxNrtNkopvdDDnD1WSpFMJsnn89jtdobDoe4AW61WnSBhdjrNmLZOp6Oj28wZW3N0wO1202q1aLVa+n1mdJwZR/eBD3wAgJMnT7K6uqrzl5vNpp4Zdrvduvg2v7ZKpaI36Jld3sFgoDvINpuNaDSKUgq73Y7dbuf06dO66BwbG+O5557j9OnT5HI5BoMBExMTvOtd7+LQoUPkcjkKhQLZbFaPQOzYsYN2u004HNbpHmYaSDabpdVqsWfPHh1nF4vF6Pf7fO5zn2N2dpaZmRn27t1LOBymUqnw0EMPcf78ebZu3conPvEJPvaxjxGLxfT4idmhv5a7x4ZhvOmLfyc8X4X4OfGSYRjXv5k7kOerEG+bN/R8lQ7yj3A6nXg8HmZnZzl+/DgWiwWn04nf7yeZTOJwOOj3+9hsNrLZLDt37uQ3fuM39Ka8SqWiO72tVksnLCQSCebm5pifnycSidBqtbDZbNjtdl30mmuWDcPAMAy9WKNcLhMKhQiHw8Tjcd2lNccezILWXD/tcrl0IT83N6c35qVSKZ2+MRgM9OhGp9Oh2WwSCAR0asXGhSlKKXK5nC6wt23bxvj4OC+99BI/+MEPWFxcJJlMct1119HtdllbWyOXy+mvr1Ao6MQL83Ce2Z02N/ktLi7S6/Vwu928+OKLfOxjH+Pee++lWq1y6tQpnnrqKWq1Gq1WS0fWvfTSS8zOzvLggw9y+PBhPvzhDzM+Pk4qlbraDyMhhBBCXMOkQP4RKysr7N+/H4vFQrvdJhaLXZGkYLPZCAaDrK6u6rzkYrGo32d2awEMw9CLQLLZLADxeJxut0uz2dT3a842A3Q6HRwOh15LrZQiEokA6DnjSCRCv9/XhwV9Ph9wKTFiZGQEwzDI5/O6I23mOReLRQzDwGazMRgMdHFs3i4QCFAsFvF4PPqFQL1eJxwO6yJ2OByyZcsWhsMhhw4dot/v8+yzz2Kz2ZidnWViYgKr1Uq9XtdJGWY3vNFo6M9rHjLcu3cvmUyGs2fP6qzjvXv30u/3KZVKLC0tsby8TL/fp9frEQ6HicVi1Ot1Go0GTqeTbDbLww8/zOnTpxkfH2f37t3cdNNNb/MjRwghhBC/KKRA/nf4fD6dZWwWk+YCC4vFQj6fp1KpsGfPHkZGRlheXsbhcOiIspGRERqNBrlcjmazicPh0HFpNpuN4XCoC1AziaLf7xMIBPSBNLMADAaDBINBqtUqbrcbh8OBz+fjxRdfZHx8nE6noyPl4NLhQHMJiblko9VqEQqF9CiGYRh605+50W84HBIIBIBLh/TMzzcYDKjVatjtdsbGxgCo1+sopdi2bRutVotms8nU1BRLS0uMjo7i8XhIJBJ6ichwOMQwDH1/LpeLUChEMpkklUoxOjrKhQsX9HiGOYZx++23853vfId6vc673/1uUqkUIyMjZDIZisUi3/72t3n66af1AhJz297hw4eZnJx8Ox8yQgghhPgFIgXyv+OZZ55hampKrz6ORqPU63VyuZye4U0mk4yNjeHz+cjn8wCMj4+jlNKZvLFYjGazSS6XIxgM6kK41+vp2WCzUDZHKmw2G4FAQOcMm53gUCiE1+vF5/OxsLCgEy5arRbdbpdKpYLb7dafbzAY0Ov1CAaDOrItl8vpddZmwR4KhfSqaLfbrQ/ndTod/fUnEgk6nQ6AHvfweDx4vV727NlDuVzG7/fT7XY5e/Ys8/PzOgf5uuuuo16v61zntbU12u02LpeLSCTCcDjkyJEjhEIhGo0G1WpVr+7ev38/jzzyyBV/NpVKRadbvP/972d9fZ2HH36YZ599FqfTSSgUIpPJYBjGNT2DLIQQQoirRwrk/8Dc3By7du0C0GMTw+EQ4IrDZjabDZ/PR71eZ2VlRR/oMwvEbrerO8der5dut4vX68Xj8eixA0AXoF6vF6/XC3DFaEUgENAF5bFjx3j/+9+vC9t8Pq/HFiqVCoZh4HK5dNIGE+I8YAAAG0BJREFUoDvF5q/Ng4JmskWv19MRcWbnvN1u43a7cblcOh/a7EB7vV6q1SpWq5VNmzYB0Gw2KZVKtNttJicnmZmZIRqNEgwG8fv9+sVFp9PBYrHQ6/WYnJzkmWeeIRQK4XA46Ha7utNtvtAoFot6qYm54rrdbrO+vs7Y2Bi///u/z7333ks2m2V8fPxn96AQQgghxDuCFMg/xokTJwC47bbb8Hq9bNu2jUAgoMcTyuUy7XYbm81GLBbD6XQyOzuLy+Vi27ZtuN1uut0uPp8Pu90OXCqEI5EI8/Pzups8HA6Jx+M689hc7FGpVPQaasMwOH/+PCdOnMBisejRCnNcw5w1HgwG9Pt9JiYm6PV6ev7Z4XDouV+zAAZwuVyEw2E9duF0OhkOh7hcLqLRqB6hMEcl9uzZg8vlwu/34/P5qFQquohVSjE1NaXTOYrFIv/6r//K888/z+7du7n55pvJZDI4HA48Hg9Wq5WLFy/qzzcYDPT3qtfrceLECbxeL6urq6ysrJDJZMhkMqytremCOhaL6S19cG0nVwghhBDi54MUyG/A008/zQc/+EE6nY5OZ/D5fJRKJfL5PK1Wi4MHD5JOp3VqwyuvvEIqlSIYDJLP53G73fj9/isKVLfbTblcpl6v62xls3NrRsh5vV5sNhuNRoNCoUCz2eS6667DarXqQ23pdFonT5jFu91up1qtYrFYCIfDOimjVCoBlzrb5lx1qVTSWclOp1P/sFgsBINBHUG3tLTE3NwcO3fuZHl5WY+h1Ot18vk8oVAIt9uN2+3WSz3MrXZzc3MUCgUmJyfJZDKMjIxQq9VoNBocOHBAX0+329XXUSgUKBaL+Hw+3ve+9xEMBul0OnrL4dTUlN7wJ4QQQgjxVpEC+Q36l3/5FwDuuOMOALLZLNlslrW1NbZv3874+DgWiwWfz6dHBWq1Gg6Hg4WFBWKxGH6/X3eSzYN8ZtSaxWIBLnVAy+WynnMOh8N6UUmlUqFWq5HJZFhaWiKfz+tDfhuLS4/HQ7VapVQq6fGOtbU1ut2u7hKbHVtzKYkZH2fGr5mFudnJ7vf7+Hw+5ubm+MxnPkM6neaBBx5gOBzqWWZzm6B5mPDUqVO8613v4q677mJubk6PRrz00kuUy2UCgQAf+MAH2Lx5M+fPn9dfg9fr1YtPYrEYdrsdpRSFQgGr1crMzAzBYPDfdIuleyyEEEKIt4IUyD+l73znOwDMzMzoTvDU1BTj4+PY7XasVqsedTA7ztFoFKfTidVq1cs7QqEQ2WyWfD6Pz+fDYrFgsVhoNBqsr6/rA3utVgufz0exWMTtdnP48GF27NjB448/jtPppNfrUSwWGQ6Hej44FArp9dbbtm3TIxrBYJBEIoHD4dBzx+b7zELZzHgOhUIopahWq3qOud/vMz09rddp7927F4fDwZkzZwgEAnp1tnkdmUyGTqfD+vo6gUCAUCiEzWaj2Wzy3e9+l7W1NcLhMLVajdOnT1Mul0kkEnopSTqd1h3pYDDIYDDQM9vm9fwiLAURQgghxM8Xy9W+gGvV7Ows4XCYqakpPB4PjUaDfr+vO6pKKdxuN4FAAL/fTzAYxOFwEAqFsFqtOu7MjDlLpVI6zxgurah2uVx4vV6dApFIJLjpppuYn5/Xxa3VaiUUCuktdC6Xi0QigdVq5eTJk/pgXTQa1cWwYRhYrVai0aju1pbLZbrdri6Wa7Wa7t6WSiX6/T4ej4eRkRHS6TRHjx7loYcewmq1snnzZl2om5sZL168yNraGsePH2d5eZmFhQVKpRIWi4XJyUkOHTpEOBxmZWWFhYUFOp0O0WiUmZkZXC4X6XSa3bt3Mz09TSaTodFocPz4cc6dO6dzm7vdLiDFsRBCCCHeWtJBfhOOHDkCwHve8x5dfJrJD2ZKRafTIZvNcujQIeDS7K/b7b4iQcLMHXY4HDidTtrttt6iVywWKZVKhMNhJiYmKJfL5HI5PB6PjjIzRxM6nQ5KKeLxOOfOnWNlZYVut6sP8ZlxcO12m0QioTfwwaX4tGq1SiAQ0HPSPp9PLzAxDINms4nT6WRiYoInn3ySBx98kEKhwNatW7FYLORyOUKhEKlUikajoVM/AILBIG63m3w+T61W0zPZlUqFsbExfTix3W4TjUax2WxcvHiRkydPsry8TLFYZNeuXYyMjOiRFDNJRAghhBDirSQF8lvgC1/4Ar/7u7+L3W7X87dmggWgi05za57X68Xv9+siGGAwGNBut1laWuLMmTPs3buX1dVVer2eHmkw11B3u13C4bDuVpvJFeZSk3g8zhNPPKG31gWDQd1tNovlaDRKo9Gg1+vpVIlarUY0GtW3O3v2LK1Wi8nJScrlMhaL5Yp84eXlZf7bf/tvdDodZmZmeOCBB5iYmGBxcZFut0ur1WLLli1MTEzoHGmzoG+328Tjcfx+P+Pj45w7dw6n00k8Hsfj8fD4449z5swZms0myWSSbdu2kclkiMfjjI6OXp0/aCGEEEK8I0iB/Bb5whe+wB/+4R/qw3hm59Zc5nHmzBkymYxOurDb7cTjcZ2h3Gw2GQ6HHD16FKUUY2Nj+vCbGb3W6/V0XrLNZiObzeJyuVBK6ULZnEuen59n//79V3SmzXg2c6yi0Wjo1AzzQKHD4WB2dhaHw8H+/fsJBAIsLS1RLpcZGxvD6/WSy+XYuXMnO3bsIJVK6a19u3btotlssri4SCwWw+Fw6PSL6elp0um0PlxYLpe54YYbiEQirKysEI/HUUqRzWZ1MsXmzZtJp9NEIhHi8TjpdFpv+xNCCCGE+FmRAvkt9Bd/8RcA/Omf/ik+n49QKKRTK/L5PPV6HYfDweTkJF6vl8FgoOPaCoUChmHw3HPPkU6nSSQStFotvSzEPFS3vr6uD88B+udAIMDKygr79+/n1KlTNBoNnVlsFsOGYehZ4k6no5eYdLtdbDYb6XSaTqfDo48+ytjYGPfeey8ej0cnTlgsFpLJJIPBgPvvv599+/bpEYxdu3ZRqVQ4fvw4qVRKd5vNbnE2m2V2dpZSqaQ3E4ZCIUKhEBcvXtTjEmaH3Zw7np6eZnp6GpvNJrPGQgghhHhbSIH8M/D5z38euLRgJBKJMD09TavVIp/Pk8vl8Pv9jI6O6jlic6ud1WqlWCxy3XXX4XA4dIEJlxZ6mAs1zG1zZge63+/rQtnj8fDoo4/icrlwu916ZKFSqQDo8Ynl5WWWl5dJJpM0Gg38fj+GYbCysoLdbieVSumtd51Oh2azycTEBMPhkA9+8IPccsstNBoN2u023W6XxcVFlpeX6XQ6BINB1tfXCYVCOvXihRde4OWXX+bgwYOMjY1x+vRpPTISiUQol8sA+P1+Go0Gy8vLRCIRfD6fFMdCCCGEeFspM3XgDd1YqTd+Y3GF++67D4fDQbPZxOVy6dSLUCjE+Pg49XqdWq3G2bNn+YM/+AN8Ph+FQkEv+CgUCsCl0YrhcMiBAweYn5+nVCrh9XqJRCIUCgUeffRRgsEg999/P9VqlWq1quPR2u02gJ7rDYfDAGQyGbrdLt///vdJpVJMT0/j8XgolUqsra1RLpfZuXMn6XRaF+znzp3T3eFKpYLH49GroJ1Op450C4VCekQjmUyyvLyMx+PhqaeeYmpqik9/+tNUKhUKhQLpdJrhcKgL7V27dr1jC2PDMN70Fy7PVyHeNi8ZhnH9m7kDeb4K8bZ5Q89X6SC/TR555BEAPvnJT+pu8ujoKIPBgNXVVQaDAUtLS7z73e/GMAwdmdbtdlFKYbPZsNlsOJ1OwuEwpVIJu93O7t276ff7LC4uMjs7y/bt27nxxhsZDAYUCgWWlpZIJBL4/X7q9TpWq5VMJkMkEiGRSGCz2Th9+jTPP/8899xzD/F4HKvVytLSEvV6nUajQalUIpvN0mg02L9/P08++SS1Wo1+v6+Xn3Q6HdbW1gDYtm0bo6Oj1Ot1Tp06xfnz5wHwer2EQiHgUqf7yJEjHD58WG/kq1arjIyMMD09/Y4tjIUQQghx9UmB/Db7h3/4B+DSohFzMUe1WtVb60ZGRqhWqzoGzVzz7HK5sNls+meAdDrNysoK3/3ud/F4PGzatAmfz0e73WZxcVEfzut0OnoUYvPmzYTDYQaDAWfPnuXUqVMUi0X27dtHJBKhWCzq2LmNCRdzc3Nks1nOnDlDp9PBYrHgdDrp9/sYhoHP5yMSiejDgJVKBbvdjmEYhMNhLBYLlUqFZDKpDwA+//zzPPLII3zqU58iFotdzT8WIYQQQghNCuSrJBaL6YUfsViMer1Oq9Xi9OnTurCs1+u4XC58Ph9jY2N6C57D4eDkyZN88Ytf5OWXX2Z0dJQ77rhDr4s20y7Muea1tTVisRi7du0iEAiwsLDA6uoqhUIBl8vFnXfeyaZNm1hZWcFisVCr1ahWq3ptdCAQwO12A5ei5hKJBD6fTy88MXOTzXEdv99POp2mXC7TarUIh8PEYjHa7TYWi4WFhQWazSb79+8nn8/z4osvcvfdd+vvjXSPhRBCCHE1SYF8lZhLRg4cOKDXJzebTZaWlojH4zSbTRKJhN5yFwwGuXjxItlslsXFRb785S/Tbre55ZZbuOuuu3C5XKysrOB0OvVIRqPR0CMLZhby0tISxWKRaDTK1NQUyWQSl8ulF5C4XC7q9Tput1sfkLNarQyHQ2KxmF5JbbPZdKayWVRbrVYSiQRKKfL5PMPhkHa7zejoKC6XC4fDoTvO5lyyuaYbpDAWQgghxM8HKZCvspdeeomZmRmy2SxKKc6dO4dSinQ6rbfeDQYDvvvd77KwsEClUmFtbQ2n08nhw4fZu3ev7tSaG/KsVitutxulFB6Ph1wuR7vdxuVy6U144XAYp9OpRzAajYbOUR4ZGdEH+KxWK/1+X8e5mTPHTqcTh8Ohi+BgMIjNZqPVaunNeEeOHNHFtN1ux2q1cuHCBRwOBx/84AeZnp7G6XQCUhwLIYQQ4ueHFMg/B2ZnZwFIJpPYbDYsFgtWq5VarYZhGORyORYWFigWi3Q6Her1OpOTk/j9fr222ZxhbrVaeL1evX3ParUyNTXFli1bWFxcZGVlRSdMlEolfD6fPmA3MzNDKBTSi0fg0mE6QGc6m9sALRYLxWJRb+qzWCz4fD79NX3lK1/hoYce4s///M8ZHx/XBfdgMGBkZISRkRFACmMhhBBC/PyRmLefY/fddx/5fF53l3u9nl4rvXfvXp1gsWPHDjweD2NjY3rpiNPpxO/3MzIywunTp3nttddwOBzMzMwQCAT0Rr7R0VHW1tbw+/3s27cPh8PxY6/JHLH4UWYax7Fjx3jqqadoNBq85z3v4d5779WdbZCC+I2SmDchrikS8ybEteMNPV+lQL5G3H777YyPj3PdddfxzDPPUC6X2bx5M5VKhXQ6TSqVYtOmTXo9c7vdZnl5mS996UucOXOGiYkJ7rnnHqampggGg/T7fdrtNqFQiF6vx8jICPV6XadX1Ot1isWiXpntdrtxOp1YLBZGR0fJ5/MsLS3x6quvUqvVgEsZzbt27WLfvn3s2bNHiuE3QQpkIa4pUiALce2QHORfJE8++SR//dd/TT6f11v1zNSJl19+mXa7TbVapVgsEggECAaD2O12+v0+4+Pj7N27l3A4rN/WbrfJZDL6gN758+f56le/SqVSYTgcMhgM8Pv9OJ1OKpUKlUqFbreL2+0mm83q999666187nOf09dpvuCS4lgIIYQQ1yrpIP8C+vjHP65HKU6ePEkgEGDLli1EIhE2b97MzMwMhmFQKBQ4e/Ysr732GktLS4RCIeLxuD58VyqVaLVaRKNR0uk0VqsVq9XK5OQk09PTeL3eq/2l/sKSDrIQ1xTpIAtx7ZARC/GTPfjgg0SjUfx+P8lkUucZb9my5Wpf2juaFMhCXFOkQBbi2iEFshDXKimQhbimSIEsxLXjDT1f/20cgRBCCCGEEO9gUiALIYQQQgixgRTIQgghhBBCbCAFshBCCCGEEBtIgSyEEEIIIcQGUiALIYQQQgixgRTIQgghhBBCbCAFshBCCCGEEBtIgSyEEEIIIcQGUiALIYQQQgixgRTIQgghhBBCbCAFshBCCCGEEBtIgSyEEEIIIcQGUiALIYQQQgixgRTIQgghhBBCbCAFshBCCCGEEBtIgSyEEEIIIcQGUiALIYQQQgixgRTIQgghhBBCbCAFshBCCCGEEBtIgSyEEEIIIcQGUiALIYQQQgixgRTIQgghhBBCbCAFshBCCCGEEBtIgSyEEEIIIcQGUiALIYQQQgixgRTIQgghhBBCbCAFshBCCCGEEBtIgSyEEEIIIcQGUiALIYQQQgixgRTIQgghhBBCbCAFshBCCCGEEBtIgSyEEEIIIcQGUiALIYQQQgixgRTIQgghhBBCbCAFshBCCCGEEBtIgSyEEEIIIcQGUiALIYQQQgixgRTIQgghhBBCbCAFshBCCCGEEBtIgSyEEEIIIcQGUiALIYQQQgixgRTIQgghhBBCbCAFshBCCCGEEBtIgSyEEEIIIcQGUiALIYQQQgixgRTIQgghhBBCbCAFshBCCCGEEBtIgSyEEEIIIcQGUiALIYQQQgixgRTIQgghhBBCbCAFshBCCCGEEBtIgSyEEEIIIcQGUiALIYQQQgixgRTIQgghhBBCbGD7KW+fBy7+LC5ECKFNvEX3I89XId4eb8VzVp6vQrw93tDzVRmG8bO+ECGEEEIIIa4ZMmIhhBBCCCHEBlIgCyGEEEIIsYEUyG8jpVT9Z3CfGaXUr/6Y9514qz+nEL+olFIJpdSXlVLzSqmXlFLPKaU+chWu44JSKvYjb/uhUuqYUmpBKZW7/OtjSqnMT3G/71NK3bjh9w8ppT781l25EG8fpZShlPrSht/bLj83Hvsp7+ffPN/e6G2UUkGl1D8qpeYu//hHpVTwDXzO31FKeX6a6/yRj9+nlLrnP/vx4ieTAvnalwH+3QJZCPHGKaUU8HXgGcMwNhuGcQD4FWDs37ntT3vA+U0zDOMGwzD2Af8n8IhhGPsu/7jwI9dm/TF38z7gxh/zfiGuJQ1gl1LKffn3h4Hlt/ka/j9g3jCMKcMwpoDzwP/7Bj7ud4D/dIEM7AOkQP4ZkgL5KlBK3aqU+q5S6qtKqVml1D9d/sfZfJX635VSL1z+seXy27+olProhvswu9F/Abzncifpd3/M5/wNpdTXlVLfUEqdV0o9oJT6PaXUK0qp55VSkcu3+z+UUi8qpY4rpb5mvsJVSk1dvt2LSqnPbeyGK6X+y+W3v6qU+q9v/XdMiLfF+4CuYRh/Z77BMIyLhmH8Dejn0D8rpb4BfFtd8pdKqRNKqdeUUvddvt2tGztYSqm/VUr9xuVfX1BK/Vel1MuXP2bm8tujSqlvX34+/j2g3uhFX+6alZVSn1dKvQAcUkotKaVCl99/o1LqO0qpKeB/B/7L5b8vbr58F7cppZ693DV/27vlQrxJjwPvv/zr/xV42HyHUipy+d+9Vy//+7Xn8tv/w+ebUurXL//be0wp9fc/7gXn5X+fDwD/14Y3fw64/vK/mf/u3wVKqc8AaeBppdTTl99XV0r935f/bnhSKRW//PbvKqWuv/zr2OW/QxyXP899l6/zvv/8t0/8R6RAvnqu49IryB3AZuBdG95XNQzjEPC3wP/zE+7nD4HvX+4kfeEn3HYXl7rNh4A/A5qGYVwHPAd84vJtHjUM46BhGHuB08D/dvnt/wP4H4ZhHARWzDtUSt0JTF++z33AAaXUe3/CdQjx82gn8PJPuM1NwCcNw3gf8L9w6TG/F7gD+Eul/v/27i5EyiqO4/j3b5hCSoQgiRDShZSFkL1hyaYIQVcKSm51EdiVdFFEFIWReuNF3hS9UEFkWfZGllGRS0oqmppvK1YXKy0VVCS9WUji7q+Lc8Y9O82MM+vqzMLvA8s8c5555pxh53+eM+f5n5mY1kQ9xyXNAV4AHs5lTwI7czxuBq5ose2XAgck3SRpd60HSDpGmtl6KvcXu/KuqaT+ZzGwtsV6zdrtLaA7IiYCs4E9xb7VwEFJs4HHgddyec14i4irgWXArflqzQBwT4O6ZwGHJA1UCvL2IVJ/UpOkZ0jn0QWSFuTiS0gxPAf4Irex3vGnGH4l6e0GbbQR8gC5ffZK+lHSICmYZhT7Nha3c0exzm2STkj6FfgT+CiXHynqvzYidkTEEVLHUAnyucC7efvN4jlvz38HSYOLq0gDZrMxLSKey1dS9hXFPZJ+y9vzgI2SBiT9Qjqp3djEU7+fb/czFHddwAYASR8Dv7fY3FPAphaPqfhASS8wfYTPYdYW+X07gzR7/EnV7nnA6/lxW4EpkfKD68XbQtKM8L6IOJTvX9mg+gBqfVduvfJGBoHKQHdDbru10QXPo7Mz/i22Bxj+v1CN7dPkDzQ5HePic6xzsLg/WNT/KrBY0uF8WXj+WZ4zgLWSXhxBe8w6yVFgSeWOpPsjLcr5qnjMP8V2vTSIM7GaTazaX4m7RnHfqpMa/qX2ZRuq669W9gtNp3aYdZDNwDrS+WpKUV7r/ayq21IA6yU91mS9R4HrImJcnuwiIsaRrip9A1xO476gkf+d+1s83s6RZ5A707LitnK5tJ/0yRZgETA+b58AJo9i3ZOBnyJiPMMvLX3J0OChuyj/DFgeEZMAImJ6REwdxfaYXShbgYkRsaIoa7SIZjspB/CinC/YBewl/RrarIiYkGerFjZR93ZyvEXEHcBlI3kBhX6G+oslRflo9xdmneAVYI2kI1XlZVzNJ6U3/UX9ePscWFo5h+Uc5rq/uiapj3T1dGVRvJKUKtFH476gOhbHAZV1RncDO/N2P0OxvLR4vGP5PPMAuTNNiIg9wANAZeHdy8BteRHOzQzNZPUCp/Ol4LqL9FrwBCmHqwf4tih/EHgo1z+NlKKBpC2klIvdOS3jPRy0NgblGdjFpDj7Lr/X1wOP1jlkEyn+DpMG149I+lnSD8A7ed8bpBPo2awGuiLiACll6ftzejGwCng+InaQ0i8qPgTuzIuTbql5pNkYk9MVn66xaxVpwVwvaUH7vbm8ZrxJ+po0wN2Sj+khne8auQ+YGRF9EXEMmJnLOEtf8BLwaWWRHumcfk1E7CctGF6Ty9cBKyJiF1B+zdw20uDbi/TOE//UdIeJiH7gBknH292WUqRvszgpSRHRDdwlaVG722VmZjbWRcTfkia1ux02xDnI1qzrgWdz/vMfwPI2t8fMzMzsvPAMspmZmZlZwTnIZmZmZmYFD5DNzMzMzAoeIJuZmZmZFTxANjMzMzMreIBsZmZmZlbwANnMzMzMrPAffS8paXRdztsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.16839678585529327\n",
      "Accurary: 1.0\n",
      "Dice coefficient: [1.0, 1.0, 1.0]\n",
      "Sensitivity: [1.0, 1.0, 1.0]\n",
      "Specificity: [1.0, 1.0, 1.0]\n",
      "Gradient min:-0.025060081854462624, max:0.02745361439883709\n",
      "Compute time per epochs: 0.58 mins\n",
      "\n",
      "Epochs 12\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.26687681674957275\n",
      "Accurary: 0.9906076192855835\n",
      "Dice coefficient: [0.9283356, 0.0, 0.96071905]\n",
      "Sensitivity: [0.9896480331691593, 1.0, 0.9890335846846005]\n",
      "Specificity: [0.9937664220361029, 0.9996701388889462, 0.9962693390884991]\n",
      "Gradient min:-0.09895745664834976, max:0.09157165884971619\n",
      "Compute time per epochs: 0.58 mins\n",
      "\n",
      "Epochs 13\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.10903564840555191\n",
      "Accurary: 1.0\n",
      "Dice coefficient: [1.0, 1.0, 1.0]\n",
      "Sensitivity: [1.0, 1.0, 1.0]\n",
      "Specificity: [1.0, 1.0, 1.0]\n",
      "Gradient min:-0.18836842477321625, max:0.12916342914104462\n",
      "Compute time per epochs: 0.58 mins\n",
      "\n",
      "Epochs 14\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.16007961332798004\n",
      "Accurary: 0.9917882084846497\n",
      "Dice coefficient: [0.9298334, 0.81000924, 0.88576216]\n",
      "Sensitivity: [0.915506959090388, 0.7989031115374202, 0.8125384154115648]\n",
      "Specificity: [0.9990458352477214, 0.9983348816016099, 0.9993568327587664]\n",
      "Gradient min:-0.02608112432062626, max:0.020899232476949692\n",
      "Compute time per epochs: 0.61 mins\n",
      "\n",
      "Epochs 15\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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27Bher5d+v4/P56PdbrO8vEy/38disRCJRCiVSni9XvO0emdnh5mZGfOUeXl5mZ2dHXq9Hna7natXr/LII4/wwz/8w7z99tsKyCIiIiJ30F0/Se+zn/0sU1NT5HI5gsEgrVaLQqHAQw89hGEY5PN5ut0u1WqVbrdLPB43R05XKhWq1SqNRoNEIoHD4WB4eJg333yT5eVlHnjgAaxWK7FYjEwmw8TEBF6vl3w+j8Viwev1Ui6XsVgsbGxs0Ov1KJVKeDwednZ2WF9fJxqNUi6XmZ2d5fHHHzfXXavV+If/8B/ypS99ifHxcRYWFvZwF+VO0yQ9kX1Fk/RE9g9N0vvFX/xFAoEAhmHg9Xqx2+1UKhVmZmYAKBQKlMtlQqEQjUYDp9PJ2toas7Oz5HI5ms0mNpuNqakp8yG72w/sRSIRRkZG8Hq9rKyskE6nOXToEK+99poZpKvVKpcuXWJ+fp6dnR28Xq85Wc/hcOD1ehkaGuLEiRPUajUuXLjA+fPnsdlseDwezp49y+XLl/ln/+yf8Y/+0T/a490UERERORju6oAMYLPZaDabBAIBGo0G4XAYn89Ht9ul0Whgt9uxWCzU63UcDgeTk5OUy2UuXbrE6Ogow8PDRKNR1tbWGB4eZn19nbW1NQKBABMTE9y6dYtcLkckEqFWq3Ho0CGOHDnCpUuXeO2113j77beZnp7m/PnzRKNROp0OHo8Hp9NJt9slEAgwMzPDysoK3W6Xz33uc5w/f54rV66wsLDAzMwM58+f3+ttFBERETkw7uqAHI/HcTqd1Go13G43AE6nk3q9Trfbxe/3A++UM/j9fpxOpznFzu/3E4vF2NnZMWuTQ6EQL7zwAul0mtnZWb7+9a+TzWaZm5vDZrORyWSwWCz8m3/zb0in09hsNk6dOsWjjz5Ks9mkXq/jcrmIxWKEw2FcLhf1eh2bzUYsFiMYDHLkyBF2dnb4F//iX7C7u8upU6f48pe/vJfbKCIiInKg3NUB2Wq1srW1RTwex2q14vP5KJVKxONxdnd3qVQqxGIxs7uF0+mkXC5TrVbx+XzUajW63a4ZYC0WC/1+3zwlfuONN0gkEiSTSVZWVqjX6+zu7hIIBIhGo4yNjXH06FG63S7j4+MUCgXa7Ta7u7tm7+Pbwf32aGmHw8Ha2hrxeNx8zRe+8IW92UARERGRA+iuDshbW1t4PB5OnTqFy+X6jsBbqVQwDMN8aK7T6bC+vk6tVqPf75s1yxMTE4TDYXZ3d0mlUtRqNebm5giHw8zOzhIIBNjZ2aFYLJoPAN7uagGwvb1NvV7n1q1bhEIh4J0Q3O/32d7eJpFIUKvVGB4eZmJigsXFRTY3N5menubo0aMsLy/zrW99ay+3UURERORAuasDst1uJxAI0G63sdvtFAoFIpEI5XKZcrnM9PQ0pVLJLK8YGRlhZWXFbNl2u7NFt9vFYrEQDAax2WyMjY0Ri8XM0+cbN26QzWZ54403CIfDTE1NAZBOp3n77bcpl8u43W7C4TCBQIBer8eVK1fodrsUi0Xq9To+n49sNsunP/1p2u02P/MzP0MymeQ//sf/SKlU2uOdFBERETk47uqAHAgEsNvtrK+vMzc3RyAQIJ/P43K5GBsbo9Fo4HA4KBQK+P1+yuUyxWKRVCpFt9vFMAyi0SiNRoNarUar1cLpdJpT8ADy+TylUomtrS2mp6d5+OGHCYVCtFotbDYb2WyWSqVCp9Mhl8thtVpJp9O4XC7e//7343a7mZiYYGdnh6mpKS5dukQkEiGZTNJoNPh7f+/vMT4+zo//+I/v4U6KiIiIHBx3dUButVq0Wi0sFovZrcJisZiB9XbLtmw2i8PhMAOz3+8nEokQDodJJBK0222CwSBXrlwxJ90tLi4yMzNDt9sllUpx8uRJPvrRj5p1zOVymdHRUbLZLLVajV6vx+7uLsFgkOvXr7O9vU0mk+Hhhx/G4/GYp86f//zn+fVf/3UAXC4X4+PjTExM7OU2ioiIiBwod3VAbrfbBAIBqtUqxWKRYDBIJBLBarXi9XoxDINer4fT6cTn89Fqtej3+9hsNoLBIENDQ/h8PiwWC61Wi2AwSK1WY2xsjO3tbeCdXsrNZpOZmRm2trbM2uNwOAxAv9/H7/dTrVYJBoNMTk4SjUap1+vkcjlu3bplnkj/8R//MZ/5zGf2ZrNEREREBADLXi/gB+kzn/kMvV4Pj8eD3+/n+PHj5pS724F3bGyMUChEJpOhWq1y3333ce7cOUZGRgDodrs4nU76/T6HDx8mk8lgGAaJRIJisUiz2eSnfuqnGBsbI51O43A4CIfDNBoN1tbWcDqd5HI5c9R0pVLB7/cTj8fx+/1sb29z8uRJTp48yWc+8xnefvttdnZ2zM9gGN/zQDURERER+S7c1SfIAIuLi5w7d456vU6hUKBWq+Hz+Th69Cgul4t0Ok2j0cDlcuF0Omk2m1SrVdLptDnp7nbHi0KhQL1eZ2lpienpaa5cucLs7Cyrq6t885vfNIN3IBBgbW2NdrtNp9PhkUceoVAo4PP58Pl85tpqtRpnz541v15ZWeHq1as888wz/NIv/dJebJeIiIjIgXfXB+SXXnoJj8fDI488QqVS4f7772dlZQXDMMhkMgQCAZrNJq+99hoPPvggwWCQZrPJ5uYmDz30EE6nk3a7TS6Xo1wu89GPfhSHw0G32+XSpUvce++9bG9v85M/+ZNUq1V6vZ4ZrsfGxlheXua1114z65iff/55ms0mH/vYx5ibmzPX+fu///u8/vrrHDt2jE6nw8bGhmqPRURERPbAXV1iAfDlL3+Zz33uc5RKJUZHR3G5XOZgkE6nQ7PZZHd3l9nZWbNjxdbWlvkgn2EY+P1+c/Le8ePHcTgctFot5ufnuXbtGsFgkJWVFV599VW2t7d5/fXXWVxc5MqVK+zs7Jj9lYvFIl/84he5ceMGhw4dAqBcLlOv1zl37hyf+MQneP7553nyySf5d//u3/ELv/ALe7x7IiIiIgfPXR+QAS5evMinP/1p/v2///dsbGxQLBZZWVkxH9Tr9/vcc889+P1+rl69ypkzZ/j4xz/O5uYmAAsLC+RyOZLJJN1ul1KpxPXr13nttdf4b//tv/H1r3+dS5cuceXKFZ577jkajQaVSoWvf/3rpNNpQqEQR48e5dixY3z605+m1Wrx27/927Tbba5du8bLL79MrVbj8OHDRKNRVlZWGBsbw+/389u//dt7vHsiIiIiB4txu+vCu3qxYbz7F7/HzM3N0el0eOihh5ibm+PjH/84Z8+e/Y5Jeq1Wi6WlJYaGhhgfHzffe/PmTaamptjc3OT69euMj4+zuLjIt7/9bR577DGazSadTodqtWoOBWk0Gua0PZfLhcfjoVQqcfz4cdrtNp///Oe59957mZqaIpPJsLW1xeTkJKlUinw+z5//+Z9jGAbpdJpsNsuLL764h7snd1q/3/+en87cz/eryD7zRr/fv/d7uYDuV5E75l3drwcmIIfDYc6fP0+z2cTv9/PhD3+YcDjM8vIyjz32GNFolEgkgsfjwePxmO97+umnOXv2LJVKhaWlJe677z5WV1eJx+PMz8+bJ73NZpNcLke9Xmd3dxeAmZkZ+v0+lUoFALfbzeLiItPT07TbbbrdLpOTk+RyORqNBhMTE4yOjpo10YVCgZdffpmXXnqJTCbDtWvX9mTv5M5TQBbZVxSQRfYPBeS/KRwOMz09zfj4OJFIBL/fz/T0NKurqxSLRT7ykY9w6tQpIpEIm5ubPPvss7zyyiv8/M//PMlkEovFwvT0NIuLiwQCAaxWK8lkktdee41Dhw6Ry+UoFAokk0n8fj/ZbJZms0mxWMTr9RIMBgG4cuUK8Xicubk5XnzxRSYmJhgbG8PlcrG0tITX68Xj8XDlyhUWFhaYn5/nxRdf5OLFi3u8g3KnKCCL7CsKyCL7x7u6X+/6LhaDCoUCb7zxhjny2ev1sri4SLVaJZlMcvnyZV577TUsFgvlcpnZ2VkeeOAB1tbWGBsbM0+Sa7UaN2/e5PTp09y8eROr1Uo4HCYej5tT+brdLvV6nUgkwujoKO12m+3tbRKJBE6nk9HRUbxeL/F4nGQyyfb2NpVKhXa7Tb1ex+v1cv78ee6//352d3dxOBzUajXm5+f3ehtFRERE7moHKiDftrKyAsDExASdToder0c0GqVarfJXf/VXJBIJ5ubm8Hq9+Hw+8vk8v/d7v8fY2BjdbpdYLEYikSCfz9PpdDh16hRLS0tUq1XcbjfFYpFoNGoOB1ldXcXj8XDmzBlefvllUqkUH/nIR+h0OgBsb29Tr9fx+/2srKzwyiuvcOrUKYLBIP1+n2QyyW/91m8xMTHBV77yFb761a/u4e6JiIiI3N0OVInF3+Wxxx7D6XQC4HA4qNfrWCwWDh8+zNzcHCdPnmRycpLt7W1WVlb48Ic/TCAQAGB3dxe/34/FYqHT6XDr1i0Mw2Bqasq85v9JKpVid3eXQqFAv9+n1WrRaDSwWCxmyYfdbsdisfCtb32Lp59+WiOp73IqsRDZV1RiIbJ/qMTi3Xr22Wd56qmnzAfsvF4vfr+fyclJfuzHfszsaNFqtTh+/LjZu9jtdpvhGMBms3Hs2LH/7e9IpVLE43GsVuvf+pnVaiUajbKwsMDi4iJ+v5+pqSnsdrs56rper7O2tsbZs2cZHR3l8uXLOkkWERER+QE4EH2Q3w2Px0Ov16NcLuN0OhkfH6ff739HoPX5fLhcLiqVCn/1V39lfv/ChQtcuXIFgK2tLbOLRSaTYW1tjU996lN84Qtf4Jvf/CYXLlwwSzzgneAciUS4ceMGrVaLmZkZPvCBD+Dz+bBarZTLZS5fvsy3vvUtQqGQ2THjp37qp+7MxoiIiIgcMCqxAM6fP4/dbufUqVNks1mGhoa49957abVaHDp0iHPnzjE+Ps7m5iZDQ0O4XC7K5TKZTIZgMMhLL73Eyy+/zL/8l/+SYrFIpVLBYrFQqVQol8s89NBDAORyOTKZDAsLCxw7doyZmRlzDf/jf/wPTp8+TSwWY3l5mVarhcfjodFo4HQ66Xa7uN1uvF6v2Y7OML7n/4WX9yiVWIjsKyqxENk/VGLxbiSTSTY2NojH47z44oscOnQIwzBYXFzEYrFw4sQJOp0O6+vruN1uXn/9dZaWltjd3eUTn/gEDoeDmZkZKpUKKysr7O7u0ul0yOfzxGIxXC4Xf/Znf4bL5eLs2bOMjIzQarUYGxv7jnXMzc2Z3SquX7/OzMwM9XqdnZ0dyuWy2TO52Wz+rfeKiIiIyPfPgQ7Io6OjdLtdbDYbrVYLh8NBJBJha2uLfD7P2NgYTz/9NKVSCb/fz+HDh1leXqZSqVCv12k2m3zwgx8kEAgwOTnJ/Pw8VquVeDyO3++n3W7j8Xg4d+4c2WyWYrGI3++nVCrx7W9/m4ceegi32w1ANBollUoB73TXsNlsrK+vEwwGOXbsmNle7r//9/+OzWbj+PHj9Pt9nSKLiIiIfJ8dyIB8+PBhRkZGAGg0GmxubmKxWPB6vcRiMbxeL6lUil6vx/3338/Ozg7b29ssLy8zOztLPB7H4XDwxhtvcO3aNaLRKMPDw9xzzz1YrVZqtRr9ft8si9jc3CSTyWAYBjabjZmZGYLBoBmO4Z0pez6fj3q9js/nw+l0EgqFzAcBx8fHyWQyxONx8vk8gMKxiIiIyA/AgapBdrvdTE1Ncf/993PixAl2d3cpFou88cYbDA8Pc/LkSX71V3+VVCrFX/zFX/C1r32N5eVljhw5Yg4KmZ6eNifohcNhnn32WQzDIB6Pc/bsWarVKsVikbGxMTqdDtVqlVu3bgFw+vRp6vU6Y2NjWK1WUqkUw8PDvPrqq7jdboaGhkin0zSbTaxWK36/3yzJcLvdOJ3O72gdp4B891INssi+ohpkkf1Do6YHeTwejh07xs///M8zMjKCz+fj+PHjWK1WPve5z3HixAl+5Ed+5G+97+LFizz//PNsbm7y4IMP0u12CYVCpNNpLBYL8/PzNBoN3n77bU6ePMnQ0BDdbheAcrlMp9Ph8ccfx2q1cvr0abrdLtevX+db3/oWyWSSD33oQ1y4cIGhoSGi0SgOh4N+v4/L5eK9WdpOAAAdhElEQVTGjRvUajUSiQSHDh0iFouZ61I4vrspIIvsKwrIIvuHHtIblEwmmZ6eJpvNAvDAAw8Qj8ep1+v8xE/8BBMTEwBcv34dq9XK7Ows3/72t0kmk/yTf/JP+C//5b+QSqW47777iEajrK+v0+v1mJ6eJhKJcPr0aQqFAr1ej36/z/b2Nq1Wi3g8zoULF4hEIjSbTba3t/nLv/xLxsfHuffee2k2m2bJxu26Zr/fTygUYnx8nHK5jMViYWtri0AggNPpNCfwiYiIiMj334EJyMPDw4yOjnLs2DF8Ph+9Xo9sNsvGxgZDQ0N0Oh0WFxepVCpcu3YNj8dDLpdjZWWFD37wg0xPTzM7O8vJkyfp9Xo8/vjjvPrqqzzxxBPmae7Gxga9Xo9KpYLf72d3d5ebN29y48YNcrkc6XSa1dVV3nrrLSwWCysrK8TjcXw+H51OB4fDYQZmn8/HkSNHAEin0wBmeYXNdmD+2URERETuuANRYvHQQw/xMz/zM3zkIx+h1WoRDofJZDL4fD6Wl5cZHR01T5M7nQ4ej4dUKkUmk+HEiROEQiEznL7xxhvs7u4yMjLC6Ogob731FtFolEgkQiqVIpfL4Xa7qdVqZDIZ3G431WrVnLZXrVapVquMjo4SiUQYHR3l5MmTwDtDQxYXF3n55Zd54YUXyOVy/OzP/ixOp5PR0VEeffRRlVYcECqxENlXVGIhsn+oxOK2RCJBoVDA6/Vy69Yt7HY71WoVr9dLu92m0WiwsbGB3W43T5f9fj+pVIqlpSXGxsZIJpMATE5O8sILL/DKK6/wy7/8y5w4cQK73U6pVMLr9ZJIJPD5fLRaLVKpFI1Gg2azyfj4ON1ul2q1ytTUFFarlfn5eUKhkLnOdrvN008/zZUrVxgbG+MXfuEXeOyxx8yfKxyLiIiI/ODd9QH5qaeeYnJykhMnTuD1evF6vVQqFarVKs1mk0ajwfLyMsPDwwwPDxOJROh0OpRKJex2O61Wi0qlQqFQMAP0D/3QD9Hr9QBYXV0lk8kwOTlJJBKh1WqxsrJCqVTixIkTWCwWbt68SaPRIJPJAO+0lgsEAhw9epRXXnmFlZUVHnnkEZLJJL/5m79Jr9fjD/7gD8xJewrGIiIiInfOXR+Qbz/wls1mWV5eJhKJ0O12cTgc5PN53G43Ozs72Gw2xsfH2drawmKxkM/nKZVKtFotSqUSgUDAPAVuNBp4vV5KpRLhcNgcNuJ0OikUCgDU63WuXr0KYAZxp9OJw+Hgxo0bBINBTp06RbVa5Z577vmONVssFn72Z3/W7IYhIiIiInfOXR+QA4EAo6Oj3HPPPfR6PaLRKJVKBY/HQ7PZpN/vEwwGzYfyUqkUbrebRCLBzs4OgPng3bVr17BYLNhsNiqVCplMhpmZGZrNJm+//TZnzpxhbGwMn89n/v5arcb8/Dy1Wg2AYDBIMBhkc3OTy5cvmxP3dnZ2uH79Oo8++qj5XqvVCqCJeSIiIiJ30F0fkH0+Hw6HwyyX6PV65olvMBg0w67NZmNxcZFHH32UhYUFhoaGKJVKXL16lVwux7lz54jFYpTLZaxWK5FIhDfffJPR0VESiQSrq6ssLCzQ7XaJRCIEg0GazSbNZhO73c7Q0BAej4dWq0Wr1WJnZ4erV6+Sz+d56aWXKJfLHD16dK+3S0REROTAu+sD8u3xzq1Wi+XlZRqNBvF4HJfLRbVaNfsK53I5ms0m6XSa5eVlAoGA+d6xsTEymQybm5vEYjGsVisOhwOAhYUF4J2H9zY3N7ly5YrZy/j2yfTk5CRer5d0Os38/DzLy8sYhkGv12NqaoqHHnqI5557DsMw6Ha7WK1Wer2e2fni61//Ov/4H/9jfud3fmfP9lFERETkoLjrA3IgEMBqtRKNRimVSnS7XcrlMolEApvNxvr6ulln7HK5qNVqHDp0iHq9js1mw+1202w2zT9dLpfZKu7ixYucPn2aZrPJyMgI8E4bt42NDRYWFgiFQvT7fS5evEi9XiedThMKhfB6vZw/f57p6Wl8Ph+GYRCLxcyx01/60pdwuVy8733v40tf+hJvvvkmS0tLnDlzhrfeemuPd1RERETk7nbXB+R+v0+73WZ9fZ3d3V08Hg/dbhe73W52q2i328A7D/TVajVCoRDlchm73U40GuXy5cv0ej1Onz5Nr9djfX2dRCJBo9HgypUrnD59mnq9jtPpJBaLUa1WabfbNJtNvF4v3W6XXC5HJBLh/e9/P9Fo1DwhdrvdADz66KNcu3aNiYkJPvCBD3Dz5k0WFxfJZrMMDw/jcrn467/+6z3cSREREZGD4a4PyLdLIZxOJ6FQCIvFQiAQMMc6j4+PUygUsNlsuFwuDMNgd3fXDK4ej4dwOMzCwgLBYJCZmRn8fj+VSoVIJML8/DzJZJJgMIjL5cLv93P+/Hnm5ubo9XoYhkG9XsflchEOh+n1emZdcqFQIJ1O881vfpNEIkGz2WRnZ8esaz579iyf+tSn+NznPsf6+jrhcJgvfvGLe7mdIiIiIne9uz4g364RnpqawuFw0Ol0qNVqZmjtdrsEg0G63S6GYbCzs0Or1cLtdjM5OcnJkyexWCx0u12uXbtGq9VibGyMYDDIBz/4QdLpNM8//zy5XI4HH3yQY8eOEYlEsNvtZmnG2NgYgUAAh8PB9vY2qVSKtbU1AoEAhw8f5mMf+xhDQ0P0+30ajQZPP/00vV6P1dVVnnjiCR544AG+9rWvKRyLiIiI3AEHYtT0b/3Wb/GjP/qjrK+vmzXI/X6foaEhs8tFt9slEAjwyiuvYLfbzfrh2/XGPp/PHCsdDocplUpMTk5itVpxu90899xzzM/Pc/LkScbHx+n1ehSLRfr9PtPT09TrdcLhMMVikUgkwqlTp4B32sB5PB4AMpkM1WqV5eVlPB4PvV6PTqfDW2+9xeTkJB//+Mf3chvlDtKoaZF9RaOmRfYPjZq+rdVqAe/UGHs8HlZWVjh06BAej4eNjQ2azaYZlI8fP06pVMLtdmO322k0GmaonZiY4K233uLYsWMEAgE6nQ7lchmAw4cPE4/HWVpaYnV1lXq9jtVq5cyZM6TTaRwOh9ke7vY1HQ4HGxsbzM3NARCLxfD5fExOTrK1tUWlUmFxcZFut0s8Ht+z/RMRERE5SA5EQO71egSDQYaHh1lbWyMYDFKv10mlUvh8PoaGhvB6vbRaLbP9WrfbpVKpYBgGTqeTSqWCz+fD7XaztrbG8ePHyeVyeDweSqUSOzs7HDlyhDNnznD16lVWVlbo9Xp4vV4cDgfNZpMLFy7Q6/UYHh5meXmZer1OMpkkFArx0ksv8eSTT/KFL3yByclJ84G/xcVFFhYWzDHVIiIiIvKDdSBKLAC+/e1vMzQ09B2joHO5HJOTk7RaLWw2G1NTU9y6dYuNjQ0SiQSRSITr16/TbDYZHR3F5/NRKBTIZDJUKhWSySQul4tIJILP58Pn89Hv91lfXyeZTGK327l16xbNZpNWq0WhUKBQKLC8vEyr1SIQCBAMBvF6vWxsbFCpVPi1X/s1s2PFysoKn/3sZ4nH41SrVZ555pk93kW5U1RiIbKvqMRCZP9QicWgpaUlut0u4+PjNJtN2u22OdnO7XaTz+dZWloy28Dt7OxgsViIx+M0Gg18Ph/5fJ5cLodhGGbdcL1eZ2lpCZfLhdvtNtvENRoNtre3OXToEO12m4WFBZLJJA888AC9Xo9sNovL5cJms9HpdMySDpfLxdLSEufOnaPX61Gv19nY2KBUKu3xDoqIiIgcDAcmIFcqFarVKru7uzgcDmKxGP1+n1QqRSQSMYNwLBYjHA6TyWTY2NhgbGyM4eFhbDYbhmEwPDyM2+1mc3OTVCqFx+PB6/WaU/gAQqEQ+XyeXq9HKpUin88zNDSExWJha2uL973vfSSTSXNt2WyWaDSKYRi89NJL5PN5Dh8+zIULF9jZ2WF3d9c8+RYRERGRH6wDE5CLxaJ5WtxutwkEAjidTiYnJymXy2QyGYaHh+n1ethsNiKRiFmnfPtnhmHQ6XTw+Xx4PB5sNhsbGxu0221mZ2fN3skOh4Ph4WGsVivXr1/n8OHDBINBGo0GOzs7lEolDMOg0WhgsVgIBoMYhkEqlWJiYoLz58+zvb1Nq9ViaGiIlZWVvd08ERERkQPkwATkdDrN7Ows1WqVYrFIPB6nUCgQi8U4dOgQi4uLZijN5/OUSiUsFgsWiwW/34/FYjEn7OXzeWKxGMViEZvNxtWrV7l586bZ67jZbJJKpSgWizQaDUKhEOl0mna7TTgcZm1tDYfDQSKRwO/3s7u7y+rqKolEglKpxOuvv87zzz/PN77xDaxW615vnYiIiMiBcmAC8u/8zu/g8Xjw+/3YbDasVivnzp1ja2uLfD5POBymVqtRq9XMB/RsNhsejwe73U46nabX6zE+Ps78/DwWiwWv18vMzAzxeJzFxUXK5TLFYpFisUiv12NkZIRgMEixWMTlcpm1z263m3g8jt/vp16v0+l0GBoaIhQKUSgUWFpa4rnnnmNjY4PFxcW93joRERGRA+XABGSAf/2v/zVjY2OcPXuWWq2G0+nk8OHD9Ho9bt26RSwWY3NzE4B2u43VaqVSqdDr9XA4HBSLRbLZrFkaAe/UNg8NDeF2u81T52azSbPZxO/3UyqV6PV6lEolGo0G/X4fl8tldrRIpVIcO3YMh8PBjRs3mJ2dZX5+nlu3bjE9Pa2ALCIiInKHHZg2b4M++clP8nM/93Mkk0msVut3dKRYXV0FIBqNks1mzSDc7/cxDMP8u91uJxwOUygU6HQ6OBwO/H6/eVo8NjZGNpvF7/eTyWQIhUJEIhEASqUS9XrdPE1utVokEgmazSZbW1t87Wtf4ytf+Qpf/epX92B35L1Abd5E9hW1eRPZP9Tm7e/yR3/0Rxw+fJiHH34Yl8tFKBQiHo/j9Xo5ceIEnU6HZrNJv983u1/EYjHq9TpOpxOPx0M+n2dtbQ2r1UooFPqOOmWHw8Hq6qrZ8i2dTtPpdEgkEsA7AdvpdLK9vc2ZM2eo1Wq0Wi1SqRQ3b97kf/7P/6nBICIiIiJ75EAGZIBf+ZVf4Utf+hITExMUi0UymQwul4tOp4Pf7zdLIQKBANlsllwuR61WY3h4mFarRTgcJpVKkUwm8fl8tFot1tbW6PV6nDhxAp/Ph9frpdPpcO7cOdxuN5VKxex6MTExQSKRYHNzk+XlZRKJBLFYjFKpxPLysjpXiIiIiOwRy14vYC99/OMf56WXXsLr9eLxeIhEIjgcDur1OpVKhUqlQrvdZnx8nKmpKQKBAK1Wi3K5jMvlMrtQ1Ot1yuUyrVaLfr9Pt9slFAqRTCZxOp2USiWWlpZIp9NmKUYqlWJxcZGbN2/S6/XodDrEYjFisRhTU1N7vTUiIiIiB9aBPUG+7ROf+ASPPfYYDzzwAE8++SQOhwOfz8f29jbJZJJGo8HKygo2m42xsTGzF3I2m2V4eJidnR36/T5er5cPfehD5PN5UqkU0WiUSqUCwPb2Nh6Ph0QiQSAQAKDX6+F0OqlWq4TDYXM9n//859nd3d2TvRARERERBWQAnn32WXK5HPF4nL//9/8+S0tLVCoVvF4vFouFkZERrl69SjabxefzMT09DcDa2hqRSMSsWc5kMnS7XZrNJrlcjlwuB8D4+DjBYNCcrHd7Al8sFsPhcFAqlXA4HAC89tprZrAWERERkTtPAfl/uXDhArFYjIcffpgbN25w9uxZ0uk0hmEwNTXF8PAwPp+Pzc1NlpaWcLvdBINBs/7YZrORSqWo1+t0u13K5TJzc3PUajWCwSAej4dyuUy9XsdqteJwOCiXy1QqFQqFAlNTU/R6Per1uuqPRURERPaQAvKAZ555BovFwuTkJA8++CDT09N0Oh3W1tYoFos0m00cDgf9fp9cLofFYiGVSrG5uYnf78dqteLz+YhEIjQaDdbX18nlciSTSfNEulqtYrVaiUajNJtNTp48af7+559/Xn2PRURERPbYgX5I73+n1WqxvLzMs88+S7VaxW63MzY2xunTp8lkMmart5MnT9Jut2m1WjgcDhwOB1tbW2Z5xO2T5dsP8g0PDxONRpmdneXo0aOUy2UzaC8vL3Pjxg1+8zd/c48/vYiIiIjoBPlvuD2cI5vNUqlU+Omf/mkcDgf5fJ5IJMKRI0fY2tqiVCoxPj6O1+tlcnKSQCCAYRj4/X62t7eJRqPE43HGx8dJp9MEg0EcDgd2u90sz+j3+3z1q18lm81y6dIlLl++vMefXkREREQO5CS978bhw4eZmZnh0KFDzM3NcfPmTWq1GjMzM5w9e5aJiQnOnj2L1Wql0WhQKBRoNBo0m03GxsYoFotmwHY6nTSbTQzDwDAMcrkc+XyeZ555hitXrvDiiy/u9ceV9whN0hPZVzRJT2T/0CS974eFhQUWFhYAePLJJ/F6vZw9exbDMFhcXGRjY4M333yTZDLJ8ePH8Xq95sQ8wOyEUa/XaTabxGIxWq0WFy9e5MqVK2YHDJ/Pt1cfUUREREQG6AT5/9JP//RPMzMzg8vlwu/3m/2TI5EIIyMjnD17FnhnrHS5XMbr9WK1WqnVavzar/0aCwsLtNtt7HY7Ho+Hz372s3v8ieS9RCfIIvuKTpBF9o93db8qIH8PnnjiCfMhPK/XS6/XIxqNAuByuXj00UeZmJjgd3/3d/nJn/xJtre3+d3f/V3S6TRut5tut0s+n+eFF17Y408i7zUKyCL7igKyyP6hgHynPfzwwxw7dgyr1UqlUiGfz9NoNBgaGuLs2bMsLCywtbVl9jtWzbH8XRSQRfYVBWSR/UMB+b3i/vvvZ3R0lFAohNfr5T/9p/+010uS9zgFZJF9RQFZZP/QQ3rvFa+++upeL0FERERE3iUNChERERERGaCALCIiIiIyQAFZRERERGSAArKIiIiIyAAFZBERERGRAQrIIiIiIiIDFJBFRERERAYoIIuIiIiIDFBAFhEREREZoIAsIiIiIjJAAVlEREREZIACsoiIiIjIAAVkEREREZEBCsgiIiIiIgMUkEVEREREBiggi4iIiIgMUEAWERERERmggCwiIiIiMkABWURERERkgAKyiIiIiMgABWQRERERkQEKyCIiIiIiAxSQRUREREQGKCCLiIiIiAxQQBYRERERGaCALCIiIiIyQAFZRERERGSAArKIiIiIyAAFZBERERGRAQrIIiIiIiIDFJBFRERERAYoIIuIiIiIDFBAFhEREREZoIAsIiIiIjJAAVlEREREZIACsoiIiIjIAAVkEREREZEBCsgiIiIiIgMUkEVEREREBiggi4iIiIgMUEAWERERERmggCwiIiIiMkABWURERERkgAKyiIiIiMgABWQRERERkQEKyCIiIiIiAxSQRUREREQGKCCLiIiIiAxQQBYRERERGaCALCIiIiIyQAFZRERERGSAArKIiIiIyAAFZBERERGRAQrIIiIiIiIDFJBFRERERAYoIIuIiIiIDFBAFhEREREZoIAsIiIiIjJAAVlEREREZIACsoiIiIjIAAVkEREREZEBtu/y9Vlg9QexEBExHfo+XUf3q8id8f24Z3W/itwZ7+p+Nfr9/g96ISIiIiIi+4ZKLEREREREBiggi4iIiIgMUEC+gwzDqPwArjlpGMb/8//zsyvf798pcrcyDGPYMIw/MwxjyTCMNwzDeNkwjKf2YB0rhmEM/Y3vvWoYxiXDMNYMw8j8r79fMgxj8ru47ocMw3hg4Os/NQzjye/fykXuHMMw+oZh/MnA17b/dW98+bu8zt+6397ta/7f9u41Rs6qjuP491cCVIVUqRIRY5pWCZambOkFCljboiTKCxpp3KJGCOgLotFKxFtQadWgKUar9VJUAhWsCEKlUWIrFFvSQiu9bEV40dpV8RaJIheJDe3PF+c/3afrzOzM7nZnN/l/ksk8838u5+zunMuc55xZSRMkrZG0Px5rJE1oIc2lkl7eTj77nd8l6Z2DPT8NLDvIY98koG4HOaXUOkkC1gGbbU+2PRNYAry+zrHtLnAeMtvn2u4CPgfcabsrHr398nZck8ssBM5rsj+lseQFYJqkl8XrtwN/HuE8/AD4ve0ptqcAB4Dvt3DeUmDQHWSgC8gO8jGUHeQOkDRf0kOS7pb0pKQ7onGufUr9iqTt8XhjxG+VtLhyjdpo9JeBt8RI0seapHmlpHWS1ks6IOnDkq6VtEvSI5JOieM+KGmHpD2Sflr7hCtpShy3Q9Ly6mi4pOsi3iNp2fD/xlIaEQuBg7a/WwvY/oPtb8KRMnSXpPXABhUrJP1W0l5J3XHc/OoIlqRVkq6M7V5JyyTtjHPOjPhESRuiPK4G1GqmY9TsGUlflLQdmCPpKUmvjP3nSfqVpCnAB4Dror44Py6xQNLWGDUf8dHylIbofuCS2L4cWFvbIemUaPd6ov2aHvGG5U3S+6Lt3S1pdbMPnNE+zwS+UAkvB2ZFm1m3LpD0EeB1wCZJm2Lf85K+GnXDA5JeE/GHJM2K7VdHHXJCpNMd+ewe/K8vNZId5M6ZQfkEORWYDFxQ2fes7TnAKuDrA1znU8CWGEn62gDHTqOMNs8BvgT8x/YMYBvw/jjmHtuzbZ8NPAFcHfGVwErbs4G/1C4o6WLgTXHNLmCmpHkD5COl0egsYOcAx8wFrrC9EHgX5T1/NvA2YIWk01pI52nb5wDfAT4esc8DD0d5vA94Q5t5nwDstD3H9rZ6B9jeTxnZWhH1xdbYdSql/lkE3Nhmuil12o+BJZLGA9OBRyv7lgG7bE8HPgOsiXjd8ibpzUA3cEHcrTkEvLdJ2lOB3bYP1QKxvZtSn9Rl+xuUdnSB7QURfgWlDJ8D/Dry2Oj8gxx9J+nOJnlMg5Qd5M7Zbvsp24cphWlSZd/ayvPcYUxzk+3nbP8D+DewPuJ7K+lPk7RF0l5KxVAr5HOBu2L7R5VrXhyPXZTOxZmUDnNKY5qkb8WdlB2V8Ebb/4ztC4G1tg/Z/julUZvdwqXviefH6Ct384DbAWz/HPhXm9k9CNzb5jk161z0AKcP8hopdUS8bydRRo9/0W/3hcAP47gHgYkq84MblbeLKCPCOyTtjteTmyQvoN535TaKN3MYqHV0b4+8pw4a8Xl06Yj/VrYPcfTfwnW2XyI+0MR0jBOGmObhyuvDlfRvBRbZ3hO3hecPcE0BN9pePYj8pDSaPA5cVnth+0Mqi3J+Uznmhcp2o2kQR8pqGN9vf63cNSv37XrRR3+pfTUP/dPvr1ovtDy1I6VR5D7gJkp7NbESr/d+dr/nKgG32f50i+k+DsyQNC4Gu5A0jnJX6QngtTSvC5r5v7a/zfPTEOUI8ujUXXmu3S7tpXyyBbgUOD62nwNOHsa0Twb+Kul4jr619Ah9nYcllfgvgasknQQg6XRJpw5jflIaKQ8C4yVdU4k1W0SzmTIH8LiYLzgP2E75b2hTJZ0Yo1UXtZD2ZqK8SXoH8KrB/AAVvfTVF5dV4sNdX6Q0GtwCLLe9t1+8Wq7mU6Y3PUvj8vYAsLjWhsUc5ob/dc32Psrd0+sr4espUyX20bwu6F8WxwG1dUbvAR6O7V76yvLiyvFZlo+x7CCPTidKehT4KFBbePc94K2xCOdc+kayeoCX4lZww0V6bfgsZQ7XRuDJSnwpcG2kfxpliga2N1CmXGyLaRl3k4U2jUExAruIUs4OxHv9NuCTDU65l1L+9lA615+w/TfbfwJ+EvvuoDSgA1kGzJO0kzJl6Y9D+mHgBuDbkrZQpl/U/Ax4dyxOOr/umSmNMTFdcWWdXTdQFsz1UBa0XxHxuuXN9u8oHdwNcc5GSnvXzNXAGZL2SdoPnBExBqgLbgbury3So7TpZ0l6jLJgeHnEbwKukbQVqH7N3CZK5zsX6R0j+a+mRxlJvcAs2093Oi9VKt9m8aJtS1oCXG770k7nK6WUUhrrJD1v+6RO5yP1yTnIqVUzgVUx//kZ4KoO5yellFJK6ZjIEeSUUkoppZQqcg5ySimllFJKFdlBTimllFJKqSI7yCmllFJKKVVkBzmllFJKKaWK7CCnlFJKKaVUkR3klFJKKaWUKv4HswV+T+M6ybMAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.14536835253238678\n",
      "Accurary: 1.0\n",
      "Dice coefficient: [1.0, 1.0, 1.0]\n",
      "Sensitivity: [1.0, 1.0, 1.0]\n",
      "Specificity: [1.0, 1.0, 1.0]\n",
      "Gradient min:-0.015002654865384102, max:0.03577437251806259\n",
      "\n",
      "-----------<Summary for Epoch:15>------------\n",
      "Mean Accuracy: 0.9955677390098572\n",
      "Mean Dice coefficient: [0.9018589  0.90924118 0.85713956]\n",
      "Mean Sensitivity: [0.92086619 0.93582178 0.87983197]\n",
      "Mean Specificity: [0.99953348 0.99964931 0.99906352]\n",
      "------------------------------------------------\n",
      "\n",
      "Compute time per epochs: 2.01 mins\n",
      "\n",
      "Epochs 16\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.1230274885892868\n",
      "Accurary: 0.9977777600288391\n",
      "Dice coefficient: [1.0, 1.0, 0.0]\n",
      "Sensitivity: [1.0, 1.0, 7.812499389648486e-08]\n",
      "Specificity: [1.0, 1.0, 1.0]\n",
      "Gradient min:-0.014035968109965324, max:0.014758927747607231\n",
      "Compute time per epochs: 0.56 mins\n",
      "\n",
      "Epochs 17\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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9+jz77LPZsmVLenp6Mm3atInuGgDApFKOZb1sKWX8F9fCT6Gmacrx1mG8wrhZ2TTN5cdTgfEK4+aoxqsZZAAAqAjIAABQEZABAKAiIAMAQEVABgCAioAMAAAVARkAACoCMgAAVARkAACoCMgAAFARkAEAoCIgAwBARUAGAICKgAwAABUBGQAAKgIyAABUBGQAAKgIyAAAUBGQAQCgIiADAEBFQAYAgIqADAAAFQEZAAAqAjIAAFQEZAAAqAjIAABQEZABAKAiIAMAQEVABgCAioAMAAAVARkAACoCMgAAVARkAACoCMgAAFARkAEAoCIgAwBARUAGAICKgAwAABUBGQAAKgIyAABUBGQAAKgIyAAAUBGQAQCgIiADAEBFQAYAgIqADAAAFQEZAAAqAjIAAFQEZAAAqAjIAABQEZABAKAiIAMAQEVABgCAioAMAAAVARkAACoCMgAAVARkAACoCMgAAFARkAEAoCIgAwBARUAGAICKgAwAABUBGQAAKgIyAABUBGQAAKgIyAAAUBGQAQCgIiADAEBFQAYAgIqADAAAFQEZAAAqAjIAAFQEZAAAqAjIAABQEZABAKAiIAMAQEVABgCAioAMAAAVARkAACoCMgAAVARkAACoCMgAAFARkAEAoCIgAwBARUAGAICKgAwAAJWOY9x/W5L1J6IjwAGLxqge4xXGx1iMWeMVxsdRjdfSNM2J7ggAAEwallgAAEBFQAYAgIqAPI5KKQMnoM7FpZRfOcy2h8a6TThVlVLmlVL+opTyVCllZSnl+6WUfzQB/VhXSpn9orIflFJWlVI2lFK2tm6vKqUsPoZ631ZKuaK6f0cp5fqx6zmMn1JKU0r5QnW/ozU2vn6M9bxkvB3tPqWUV5VSPl9KebL19flSyquOos2PllJ6jqWfL3r8xaWUf/hKH8+RCciT3+IkhwzIwNErpZQkX0nynaZpljRNc1mSdyU58xD7HusFzsetaZqfaZrm4iT/JskXm6a5uPW17kV9az9MNW9LcsVhtsNksjPJhaWUqa371yTpG+c+fC7JU03TLG2aZmmStUk+exSP+2iSVxyQk1ycREA+gQTkCVBKuaqU8nellC+XUh4tpfx568l5/3+p/6GUck/ra1mr/E9LKe+s6tg/G/3vk7ylNZN082HafG8p5SullK+VUtaWUv5ZKeW3Sik/LKXcXUqZ1drvA6WUe0spD5RS/tf+/3BLKUtb+91bSrmlng0vpXysVf6jUsonx/4nBuPibUmGmqa5fX9B0zTrm6b5THJgDP1VKeVrSb5VRv1hKeWhUsqDpZQbWvtdVc9glVL+uJTy3tbtdaWUT5ZS7m895vxW+emllG+1xuOfJClH2+nWrNnzpZR/V0q5J8nyUsrGUsqM1vYrSin/r5SyNMn7k3ysdb54U6uKq0spf9+aNR/32XI4Tt9Mcl3r9i8n+cv9G0ops1rPez9qPX+9vlX+suOtlPKe1nPvqlLKnxzuH87W8/NlST5VFd+S5PLWc+YhzwWllA8nOSPJt0sp325tGyil/MfWueFvSilzWuV/V0q5vHV7dusc0tVq54ZWP2945T8+Xo6APHEuyeh/kK9NsiTJz1bbXmiaZnmSP07yn45Qz79M8t3WTNKtR9j3wozONi9P8ntJdjVNc0mS7yf5p619VjRN84amaS5K8kiS97XKP53k003TvCHJ0/srLKX8fJJXt+q8OMllpZQrj9APOBldkOT+I+zzxiS/2jTN25L844z+zV+U5B8k+cNSyoKjaGdb0zSXJrktyT9vlf3bJN9rjcevJjn7GPv+qiT3N02zvGma7x9qh6ZpnszozNYfts4Xf9/aNDej55/rk/zBMbYLE+1/JnlXKaU7yeuT/KDa9skkP2ya5vVJ/nWSz7fKDzneSimvSXJDkp9tvVozkuTdh2n7tUlWNU0zsr+gdXtVRs8nh9Q0zX/O6PPo1U3TXN0qnpbRMXxpkrtafXy5xw/l4FeSvniYPvIKCcgT556maTY2TbMvo4NpcbXtL6vvbxzDNr/dNM2Opmm2JulP8rVW+YNV+xeWUr5bSnkwoyeG/YP8jUn+qnX7L6o6f7719cOMhovzMxqYYVIrpfyX1isp91bFf900zXOt229O8pdN04w0TbM5o09qbziKqle0vq/MT8bdlUnuSJKmaf5Pku3H2N2hJHce42P2+0oz6kdJFr7COmBCtP5uF2d09vgbL9r85iRfaO33t0lOL6Prg19uvP1cRmeE7y2lrGrdX3KY5kuSQ71X7suVH86+JPuD7h2tvjOBxn0dHQcMVrdHcvDvojnE7b1p/UPTWo7RdZxt7qvu76va/9Mk1zdN80DrZeGrjlBnSfIHTdP8ySvoD5xMHk7yi/vvNE3zoTJ6Uc591T47q9svtwziwFht6X7R9v3j7nDj/ljtbg5+U/u6Dy9u/8Xq88JRL+2Ak8hXk/xRRp+vTq/KD/X33Lzoe60k+bOmaf7VUbb7cJJLSiltrcmulFLaMvqq0iNJ5ufw54LDeclz/zE+nuNkBvnkdEP1ff/Lpesy+p9tkvxCks7W7R1Jpo9h29OTPFNK6czBLy3dnZ+Eh3dV5f83ya+XUnqTpJSysJQydwz7A+Plb5N0l1I+WJUd7iKa72R0DWB7a73glUnuyeinob22lDKlNVv1c0fR9nfSGm+llGuTzHwlB1BZl5+cL36xKh/r8wWcDP5HkluapnnwReX1uLoqo8ubXsjLj7e/SfLO/c9hrTXML/upa03TPJHRV09/pyr+nYwulXgihz8XvHgstiXZf53RryT5Xuv2uvxkLL+z2t9YPsEE5JPTlFLKD5J8JMn+C+/+e5K3ti7C+Zn8ZCbrR0n2tl4KftmL9I7BJzK6huuvkzxalX80yW+12l+Q0SUaaZrmWxldcvH91rKML8egZRJqzcBen9Fxtrb1t/5nSf7FyzzkzoyOvwcyGq4/3jTNpqZpfpzkS61tf57RJ9Aj+WSSK0sp92d0ydKG4zqY5HeT/NdSynczuvxiv/+d5J+0Lk560yEfCZNMa7nipw+x6XczesHcjzJ6QfuvtsoPOd6aplmd0YD7rdZj/jqjz3eH874k55ZSniilPJnk3FZZjnAu+G9Jvrn/Ir2MPqdfUEpZmdELhm9plf9Rkg+WUv4+Sf02c9/OaPh2kd4J4qOmTzKllHVJLm+aZttE96VWRt/NYnfTNE0p5V1Jfrlpml+Y6H4BwGRXShlomqZ3ovvBT1iDzNG6LMkft9Y/P5/k1ye4PwAAJ4QZZAAAqFiDDAAAFQEZAAAqAjIAAFQEZAAAqAjIAABQEZABAKDy/wER6D/X+HzWOQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.12405149638652802\n",
      "Accurary: 0.9984895586967468\n",
      "Dice coefficient: [1.0, 1.0, 0.0]\n",
      "Sensitivity: [1.0, 1.0, 1.149425155238488e-07]\n",
      "Specificity: [1.0, 1.0, 1.0]\n",
      "Gradient min:-0.04296676814556122, max:0.06502540409564972\n",
      "Compute time per epochs: 0.58 mins\n",
      "\n",
      "Epochs 18\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.0966261774301529\n",
      "Accurary: 1.0\n",
      "Dice coefficient: [1.0, 1.0, 1.0]\n",
      "Sensitivity: [1.0, 1.0, 1.0]\n",
      "Specificity: [1.0, 1.0, 1.0]\n",
      "Gradient min:-0.021511467173695564, max:0.01350835058838129\n",
      "Compute time per epochs: 0.58 mins\n",
      "\n",
      "Epochs 19\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.20928926765918732\n",
      "Accurary: 0.9987499713897705\n",
      "Dice coefficient: [1.0, 1.0, 0.9505494]\n",
      "Sensitivity: [1.0, 1.0, 0.9651324969995467]\n",
      "Specificity: [1.0, 1.0, 0.9991737425945935]\n",
      "Gradient min:-0.06514089554548264, max:0.060855939984321594\n",
      "Compute time per epochs: 0.58 mins\n",
      "\n",
      "Epochs 20\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.277597039937973\n",
      "Accurary: 0.9959548711776733\n",
      "Dice coefficient: [0.65377855, 0.6819484, 0.6620209]\n",
      "Sensitivity: [0.5284091043065596, 0.7041420293407084, 0.5397727403473653]\n",
      "Specificity: [0.9994584963667799, 0.9989378558620017, 0.9994410285076437]\n",
      "Gradient min:-0.05150913819670677, max:0.037462908774614334\n",
      "\n",
      "-----------<Summary for Epoch:20>------------\n",
      "Mean Accuracy: 0.9958318471908569\n",
      "Mean Dice coefficient: [0.90852871 0.91528428 0.868523  ]\n",
      "Mean Sensitivity: [0.92194706 0.93887594 0.88445696]\n",
      "Mean Specificity: [0.99959285 0.99967476 0.99914851]\n",
      "------------------------------------------------\n",
      "\n",
      "Compute time per epochs: 1.99 mins\n",
      "\n",
      "Epochs 21\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.15104719996452332\n",
      "Accurary: 0.9912673830986023\n",
      "Dice coefficient: [0.9798465, 0.8940464, 0.8950219]\n",
      "Sensitivity: [0.9845708776801265, 0.8877755533511913, 0.8780364378641881]\n",
      "Specificity: [0.9995403355551261, 0.999141871420966, 0.997015676686859]\n",
      "Gradient min:-0.026777708902955055, max:0.035129375755786896\n",
      "Compute time per epochs: 0.57 mins\n",
      "\n",
      "Epochs 22\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.09680292755365372\n",
      "Accurary: 1.0\n",
      "Dice coefficient: [1.0, 1.0, 1.0]\n",
      "Sensitivity: [1.0, 1.0, 1.0]\n",
      "Specificity: [1.0, 1.0, 1.0]\n",
      "Gradient min:-0.017392689362168312, max:0.02074461802840233\n",
      "Compute time per epochs: 0.58 mins\n",
      "\n",
      "Epochs 23\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.26166287064552307\n",
      "Accurary: 0.9953472018241882\n",
      "Dice coefficient: [0.9786223, 0.98083067, 0.94644856]\n",
      "Sensitivity: [0.9716981136525454, 0.9824000002816, 0.9995267392355573]\n",
      "Specificity: [0.9998420054771712, 0.9997718297499304, 0.9957107070132264]\n",
      "Gradient min:-0.07000171393156052, max:0.07392826676368713\n",
      "Compute time per epochs: 0.58 mins\n",
      "\n",
      "Epochs 24\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.1906486451625824\n",
      "Accurary: 1.0\n",
      "Dice coefficient: [1.0, 1.0, 1.0]\n",
      "Sensitivity: [1.0, 1.0, 1.0]\n",
      "Specificity: [1.0, 1.0, 1.0]\n",
      "Gradient min:-0.012779196724295616, max:0.014989303424954414\n",
      "Compute time per epochs: 0.60 mins\n",
      "\n",
      "Epochs 25\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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qNptLc41jUHWfsVsWXKWVtnuIG41G7tF1IPYIOPPos9iT7NFpHpNWq9WWgqjPx2JLhrQdnuPINVdufZ21tbW8wYlDtAO7K8yx1zluPNLtdiXNFy368cQ+6n6/r+l0mtsr/LzFcXDxuQQAAJcIO2KeFQF5F2699da8aM1TK9xvGxfguWfXoTCOb3PVNVaUXVV1P2/cijpOtHCvbr1eXzovV2K9SDAuxPOCOE+scBXX5+vqtBfLudJcrVaX5jd7a2jPM473HXuO/WbBLRj+42Dv7a2bzWauXMftt+OEDgAArgW0Wlx+tFhcpOc85zmq1Wp5kZ3HtrmSGkPqeDzOi9YGg0HuxZWU2xG8mM29yG51iBttSNuL9dzLGyu/vl8f01aDsadIuDXCPc7+vM/NW2K7uttqtXJl2VXuOKXCLR9ux3AIdhAeDofqdrvq9/vq9/va3NxUt9vNn/MUDN/ej3EymehLX/qSHnzwwb3/wgLYPdosgCsHr9czooJ8gb7/+79frVZLnU5HR48eXdoRziEztlLYagCdTCbqdDo58EpSv99Xo9HQYDDI1WgH0LiTnaddOLh6kZ7DqzfbiK0evl9v3OERa55s4QDuCrEX40nzFpGtrS2tr6/nc1hfX89bWvt4DtMOuHGTEFfAfT+unru67DYTf949zHEzk+l0qi9+8Yv5mP1+X9/yLd+yp19vABfu5b/4Cknz0VXveQ4r9IGLsa9VZIdk2i0yAvIFWl9fV6fTUaPRyL/+9+SI1dFsDsvexc7j2xwgY5V3NBrllga3OsRqcByXFm8TN9dw6IxTJeI0iRjY3bPsarC3oI6biTiwuprtXfy87bXfHLhK7sccd+eLbRSxql6tVnN1OM6J9nPoz8dxc35D0O12c7j+m7/5Gw2HQz3taU/bg682cIU6KJuGSI89D34AAzu2760W8fV6jb9WCcgX4JWvfGXuOZaUg2gMvR5T5vAXZw9Pp9Pc99toNPLfm5ubOShOJpMcfGez2VJFNu6Q52Aa+4Bj33AMp64mr45Mi1Mx/BhGo9HSzn5FUeTd9Nwf7VFuPr6DuO/D9ylt7+znari0PP0ipbTUnuJqfOzLXl3wGPucfbxPf/rT6vf7etaznrWn3wMAzu89v3iOH+hUqoDHONeGIZetH/kaf63Sg7xDr371q3XkyBE1m80c7uKYtbg4T1Lu0ZW2K6YOhnFMmgO3q7IOhL5t3DXPLRIO33GrZo9q83Vjz7KnWriSG0O1N+jwObtSHavg3W5Xp06d0ubmpnq9nobD4VLFOM5odi9xnHThx+A2DwdcV4bdAx0XE3rBos/Vz1lsO/FlsXr/wAMPXOKvPHCFOug/1J791YNT5QYOgAO7Ycg1+jolIO/QkSNHdN111+VA62pwrGQ6NLs67LAaq8txdzpXZx0ep9NpXpgXw3ClUskB2pVlV23jznUeA+fA6wqw79+bhbj9Ik6s8P1Lyuc3nU51+vRpbW1tqSgKbW1taWNjI1/mEBxHvPlNg9syVivHfoMRdwGMCwNddfdzGf929Tj2fHvBn2dMj0Yj/e7v/u5efzsAV4aDHpKla/aHL4CDjRaLHfiZn/mZHE5XJzZ4bFmlUskBzW0R/X4/V43jhiGe+1uv11Wr1XL48xQHixVSL45zhdcL4GLl1X25ccMRT4OQtLQzX5w77GBbrVZztXn1DYD7jL19dAzUfj48Oi5WqR3M48g4Lw6UlEfU+bF5kWFs2YiL/fxGw+0kHk/n/uaiKPSyl71sD74LAOyJKyHEA5cZY9/2HwH5PH70R380L6BzZdVh8vTp07kqvLa2lmche5SbA65bDSylpM3NzXw7V4Edfh3GY1XVO92tbh09Ho8f03scQ6jHxjlguqLrKRWtVis/Pmk7lPsyV8O73W6uTEvzaRf1en2pv7lUKuXtqh26HZzjLGO/aeh2u7nFwo/dx/J9VavVvIjQiwodmF15jm8MVre4BgAAuFAE5HO488478xbJ9Xo9V10d/tyL66qqw+TW1lYOtA66rpTGraU3Nzc1GAxyu0SsisbKq2/noO3JEg6fnqjhY7uC7QDpSq+rwh7f5gWD0jzw9nq9XBH3jnzxzYFDqivjDuI+f0+aiK0dXsznx+/K+2Qy0Te+8Q2dPn06h22fXxwBFzdM8Q58Pn9J+fl3m0XcNRAAlSfgSuI+5LMt2MP+ISCfxU/8xE8shdBYoY2L2KR5SDt+/PjSAjQHXYdm9y3XarUcNh0IHY4dOn2Zq8P1ej1XjN2OEWcGx8VscaMO3zZWeN0bHBf/eRSd2yZ8zj62H3ev11Or1dKJEyeWgm673c7BOI66c8uFtL3Y0NXsjY0NffWrX9VkMlGz2cwBeTKZ5CAsbc9v9oQNV549r3k8HmtjYyNXylcndQDXuvnq+AMakmmvAM7oTFMtLtub3Wv0dUpAPovYcuD+WFd7HQx9PQdLt2BIWmorcCuEpBz24hzh2Jvs6nSsKsfNQhyajx49qkqlosFgoF6vlwOiucq8uqte7Ef2okBXaGPFudvt5pDu8+x2u5K2K9Sxd7rVauW2CPcNRz4PT/dwFXo4HOob3/hGnuXsarM3RHELRdwsZDqd5sfsCRhFUajX6z1mVjQAV6VuUVE8+6J/wBafeMVZV9lf8HGv0R+4wIU4UzW5+MQr5p/br6B8Db9WU1wUdt4rp7TzK1/hXvva1+bQGlsUer1evo5D4mq11hVcaXsEWezVdW9vq9VSu93Old3pdKpHH310qQLsamocH1cUha6//nodOnRInU4nT5c4efKkhsPh0lzhWBl2pdiB3IsMm81mPlc/zhjcO51Ovm+HbU/zaDQaarfbarVaefHh4cOHtba2pnK5rJtuuknS9hbZnvE8GAz00EMP6Stf+UrehtvnmlLS4cOHdejQofxGw29MJOn06dO5FznexlM3RqOR7r777r3+FtlTRVHsupn6Wnq9Ynf8Azj+0PUPYjuwI6gOhs8URfGM3RyA1ysuyLmmv1xoqL32NgfZ0euVCvJZeDc39866faHRaOSqadwgxBVfV12l7WqtpKVFaq4Q+37M4XIymeTFbnGsmVs3fDsvnKtWq3mxnUOtxUkXbnlwO4c/H4/tdhC3VbRarVz59f26Yru1taVKpaJTp07lMF+r1XTy5Mncs+3toh30Xdl+9NFHdfz4cW1tbUlSHmknSb1eT1//+te1ubmpZrOZe789J9qVfJ9PfENSqVTyMQHszHb4veUxv9YlGAMH0KUMstdGKL5gBOSzcOh1KPOv/xuNRv7jz/v6rrC671baninsIBe3pfZCNPcre5Gej+s+X//tCm2c2rC1taVGo6HZbKZaraZarZarzMPhMG/ZHKvIHi3ncOyxbH6cvnw1ODuIxjnLcTSbw++pU6dyS8Tx48fVaDRUq9VyxXoymeSd+YqiWNqd0GE6Pm/xsbjlIo6Qi1NCLuQ3IgAei0AMAATks7rnnnv0Uz/1UzmI1Wq1PMJtNptpbW0th0xpe1axK8hxcZsDawzIDocxlMbZwQ61cWGb+5ddvfbkCd+/NxdxSPf1vcmIN/Bw73Bs3ZCUR84Nh0NJ80q3F8T5jUDcec9hVdoOsqtzih966KGlNg+H3LiYcTAYqN1u52p9PF8/vtiHHXcmlJT7wz11g1FvAABgNwjI53D33XfrNa95TV405vnGDmYOsa7+xu2ea7VaDowOv55g4b5lV0Unk4lOnTqlRqOhI0eO5Ept3InPwdcL6ra2tlStVtVut5c2J6nX60ublLiq6/DpyxzKY7U69vnGynhcxBc3SvFjcpD3+dbr9fxGwdVth36PrvNz4pnQ7nWOAVxSrlz7XN3H7Tcg/hq47cVj5QAAAC4WAfk87rnnHknSM5/5zBxKPft3bW1NrVYrz/GVlGcBe+GbpKV+39ir7A1H3Hrg4OfJFa64+nZeLOiqssN2XCjoSq1Dqo1GI9VqNa2vr+d2DU+UiBM3HHLjVIkYoCXlfmRPofCbBrdHSNtTQCQttWm4/aRer+dKcLVa1XA41ObmZq6C12q1XCX2GDsf3xVwTweJkz88Lg4AAOBiEZB36AlPeMJS36s0D4rdblcbGxu5baBSqajVamkwGORw64qmF7LFPl+H2Mc97nEql8tLi+F8mzgazpXcdrudw7GDtCvUs9lM7XZbw+Fwqb3BATr2MUta6u11YHdfsSvEcWKHd7aTtjcb8WOLHIK9cNBvCFxx9/17DrJDtc859mrH58A78Plr4bFytVpNw+FQ73znO/fyWwEAAFzlCMg79KQnPSm3OfhX/p6760B5+vRpbWxs6Gtf+1oOsQ7JXiwXWyVW5/tubm5KUt4pzls5x+pw3H46LuKLLQiS8hxiX95oNHILiKuzMYRL0nA4VLPZVLvdzgE/tjX4eL5c2h51F6u2sX3D5+4WjEajsTSbOe40GN80OCD7OtVqdWnmcb1ez+0bvo4kveUtb9mLLz8AALiGMAf5Avzsz/5srlw6qMZd31JKGgwGeuSRR1QqldRsNlWpVPJ2zXH3uTgTObZn9Ho9dTqdPI5tfX19acGe79vB0BMf3NaxOtnB9+PWA/cGx4VyfizdbndpYxKH6NXtm93+MRwO8+c9As/V4bi4UVIO0HE6R0opvwmIUzzcIx0X4TlUuz3F5xjbRd72trft8XfA/mEOMnBFYQ4ycOVgDvKl9OM//uO5ZzeGRv+K38G1Wq3q5ptvXtpFL45VcziUtne7c1j1piGuIA8GA33961/XcDhUu91Wo9HIrQ9uNfD9eg6ye3Z7vV4OuQ7FcaKFP+f79hbPbh/xOTiASsrV5Lh5iTc58QJGabuaG3unHWx9HD8/Drtu5fBz6up63GHQ533y5El1u11tbW2p1+tpa2tL4/FYT37yk/WFL3xhb78RAADAVY8K8jm8+tWv1mg0yuHSAdG9uHH+sBebxaqnr+fqsaSlMO0w6zDo7ZXj3OU4Ps0L/1xJrdfrS1tG+75X20AcTF2VdpXZi+d8f96UIy4AdCiNm5Z4cVycsuFZxnF0naTcUlEqlZb6q7e2tjSdTtVqtSRJW1tbeQGfJ4b4jYSfq/j4XCF3OJ5Op3rwwQf39PthP1FBBq4oVJCBKwcV5N149atf/Zg+WPfAWq/Xy20Brt7Gvl3P5XW7gHuNfTxJ+Xru2/W0CS/m83Vd6fUcZh9Pkvr9fg7xbj0oiiIvnovbWzvAHjp06DHTKbzYzUHWUyc8WcPh2UF7Op2q2+3q5MmTS1twt9vtfL/eIGR1PJzHzfk57Ha7eYax3xC4PcNVdd9/v9/Pb0xuvPFG9ft9nThxYs++FwAAwLWFgHwGb3jDG3L1t9fr5fm6np4QWyXiKDRvsOGKaVyM5+t40Vqs8jroumIbF/DFvmH32o5GI62vr2s0GuVqsINr3MXPwTwuovP5OpAPh8McUt2qISnPLPb21X4sriJLUqvVUrvd1uHDhzWdTjUajTQcDvMx/Jjci+0K8Grlu1wu64YbbsjHcFVdmi8c7Pf7eQzcYDDI1egTJ06o1Wqp0+noxhtvVKvV0uc///k9/u4AAABXOwLyGXjhmvtm19fX1e12Va/X1e12NRgMlnpuXc10EHWvb2yniFMg4uYhPkacZ+wqskN2pVLJIdiXORy7ncFB1j3E0vaCuDhazufU6/XyuXlxnVsrHKB9P34z4Nu4P9mVZFeL3aLhNgxp3i4RJ154FFyc8ew+bbeouEru56DX6+Ww7qq0g/03vvENbWxsqNPp6JZbbtHjH/94/eEf/uH+fKMAAICrEgH5DP72b/9W0nw+b7PZ1JEjR1StVvNOb4PBQFtbW+p2u0ubcbi9wv25ceKCOdTWarWl27pH2VXpOGYtjjLzHONY2fV8ZIfj2JqxWrEeDoc5gLuq68AcF9+59zhOnXD13BXe8Xis8Xi8VBF2FVzS0txkt2j49n7sDr5xIxRpe5dCH6NareZ+5n6/r1KppCNHjujo0aOaTCY6efKkHn74YX3qU5+65N8PAADg2kJAPoOvfe1rubVBkjqdjm666SYdPXo0V4bdunCmOcBuwXCw8+dXR6A5VHoqhv92H7CDtKSl3e6keeuBj+m2C2ne9uBjuwrrsW9+PI1GI1/PI9qGw6Emk4na7bbK7C/OAAAejUlEQVQkLVWiXU32ecctnd1a4scymUxyYHYQtzi5ws+Lg7eDdaws+5ziufvc3I5RqVS0vr6uW2655TEblQAAAFwMAvIZeG5wvV7PYfXkyZMqikLXX3+9arWaiqJQp9PJ0xjiKDRXZWMwjhtnuOrr/uHYKhGrtA7aPh/fdjKZLO1m5+qwt7x2VdZVbC9+q1areQGdq78Otz4nt0TEDUrirntxIkf82+ftinGcvrG62DFWjz2xwmHb7Sh+XuLMZH/OHzv8nzhxQuVyWUePHt3X7xMAAHB1IiCfwROe8ARJ80rroUOHJCkv0nMrQtwUY2NjQ8PhMAdGSUvj3RxuXfl0GHQLRpw17IV4Donefc9V4NhW4WkZsfUihvXVqRi+jQOt5xe72utKcdzQxMdenW0ct9z2eccNU1wpj28KfG4ej+cqu/9IWhp75/P07n+uOHe73XyfDsqDwUDHjx/fy28LAABwjSAgn0G/38/bRHsxXqVS0dramsbjsU6dOqVOp6NaraZOp5MDYOwBji0XMXzG2cJegOfWg1illZQ3EYmhdDVMx0qzw7dDtK/jRXO+Tqz8eoRb3AJ7dRJGnFzh28aFd75+bB3xv11tjxunxBnKfvyxfzneX+w/9qYk0ryVxIv4/IdRbwAA4FIoXe4TOGie8Yxn6OGHH9ZDDz2Ud2w7ffp0nvPrUOZQmFJSo9HIlzsse2KEq7hxBJz7Z+Pc4hiYXQmWlPuDPcJtMBjk3lxXf32/ruI6JPuPJ1AMBgP1+/18LJ+nz8PHWd0x0Nd3uF6dtxwX9sXw77YOt6t4SkWc0+wALGkp1HvRYdx0JLZ3+Dnz9I1SqaRWq6WXv/zl+/fNAgAArkpUkFf8xV/8hSTpZS97Wd56OVZpa7VablkwVzjdGhHFMO2pEV5gFzcDcej0bXyZq74em+YKslswpO3Rce4DlpQDdmyDcOhcPffYGuI5xLECLm1vVuKPfb6xar26K2N87hyEY+XZn49/r+4+6N0G/WbA5+rZyJ1OJ4flVqu1tJELAADAxWCr6XP4oR/6oaUpDP1+X5JyVfTQoUM5UBZFoY2NDfV6vdwPLGmpfze2L8RQ61YEzzF2j3EMyv7YAdOzgr29s7mC7OvHwBh39YsVYPcbe3pEo9FYGlXnSnisdMfKc7xfB/TVnQG9AM8VZm8S4sDrIFyv15cei4O5w7XfYPjc/Dy7ej2dTnXy5ElNp1O9733v2/03wWXCVtPAFYWtpoErB1tN71bcCKNSqajZbOZg6qpu/JV/rVbLIdpB1gvpXH2Nvbje0nl1UoMDt4Oyg6J7hR10vQjOo+Fi77MDawyOHk0nKVegY5B3NXl1hz+HfAdSV6XjNtaR78/nGEfWOSTHrbu9BXZs74gj8RzoHcYd3t1e4b5l9zA76AMAAFwMepDP4X3ve9/SgrVyuZx7aWN/rANkrBxL25uCxGkNlUpF9Xp9aVKDxb7a1YV+Dq2x3UJS7iWWtoOsW0FWZzTHnuEYfmu1Wl4E5xDqYO2w6aAa+XOrrSGriwh9DqPRSL1eT91uV1tbW7lq7efKj9/V4pSS6vV6vo+40Um8j9h3PR6P82MHAAC4GATk83jve9+bK7zuj3UPcuwBluah0uPfvKAujiQrlUr5896swwHQi+Gk7TDsSqu0vUufg6FDtAPuak9vHLHmtg0/BldcV6dnxAkXrt7GSmzcMrvRaOSg7z8O0d5MZbXy7YDtyntcXOiQvra2pvX1dTWbTTUajaVFfn5u4kQQL2KMFXIfCwAA4GLQYrEDGxsbS8F3dbaxK5/SdhXX21B7S2lXhh3iUkpqt9v53+4DdgB273PcuMOVY4dUH19SDoZxa2ppHmRdcY0L7cbjsRqNRm7R8PHiNtHx39L2okEvLoz9w6tba68GbYfv1R0BvXvf2tra0huC1RaJyWSifr+fe65dkY5vDvw1KpVK6nQ6u/uiAwCAaxYBeQfcL+wq5nA4VLlc1tra2tLYszi715VTtyHEXe/cRuBNLuIc5c3NzaVJDq48x4/j5xw63U8c2xPiubmqHHe6c5+vA7LbHeJxpe0A7PPyGDoH5bhttm9v7i92e0isGhdFoXq9nmdKe9tqSUsVaFfY/QbDPdc+Nz/n3jFwNptRQQYAABeNFosduO+++/L2zd7ZzUHObQ/eSc+h120Gse3BfcuSlrZLdpXVt6vX6zkAx2qpJz84aK4G2tiPK0nNZnNpow3fV7VazZ/z44htHX5cMdTGiRL+Oy64W901z9tjr62t5VYM92+7Olyr1dRut3MrRZz2EZ8rt7W02+286YnbW2KrhW/jec8AAAAXg4C8Qx/60IckbS+8GwwGGgwGub/Wn/PCsnq9nvuKHTYdhH0Mh89araZms6lWq6Vms6lOp6NOp6Nms7m0sYakpcqxQ3YMiIPBIE+HSCmp0+ksbdThj307t4s4oK6GZFevHYZXp1ysbpcd2ys8ZaJararT6Sy1Yvg+fAz3dMc3Bj5WPHacm+yqe9yG28dkHjIAALhYtFhcAAdatyV4IZ4rpa70erHe1tbWUiB0BdfiPF+HUVd248I3T2fwnODYPhGDq++/KIrcYtDpdHKYd4icTCb5ccTbuGLsNgY/zthu4RFzcQc8cyg3B99Wq6WUkrrdrjY3N5feIBRFoX6/n7fx9qI7t2+s9iKvbtUdW1scsBnzBgAAdoOAfAE++MEP6tixY0vj1vr9vkqlktrtdg6Bg8FAlUpF6+vr6vV6OQh6lFqtVtN4PM5bRlcqlVyNduh0dbjdbueA7AWB5XI530dcuOfpDW418CI2L8bzltG+ftzO2YHcldu4ELBcLuf7jv3Qvm6s3sZq73A41Pr6+lLgbjQaORzH3fjivObYAx0XA/qYcbSez9FVfFe3AQAALhYB+QLde++9etGLXqRqtapHH31UzWZTvV5PjzzySK6WemGatD172CE1TmFwi0Cv11taMOfJDHH3PIdrV4v7/b56vV4Oh7HHOW5G4uDokXKbm5tLleJOp5Pvy5uQuDIdp1J4kZ/5Ot1uV8PhcOlNgydvlMtl9Xo9tdtttdvtHIjdfrK1tSVpHnxbrZZOnz6dq/Rx7F0MybF9w7sPulruDVYczAEAAC4GAfkifPCDH9SLXvSiXJWVtnfI6/V6Gg6HOZg6vErb84Zjq4MX+DlkHjp0KF/fO9u5ousgG3eQc2tE/LdHvjnYStvTHmI11ucSN/jwSLlYxY07+1ncNjr2IXtnvHq9rnK5rOuuuy4Hf7+BGA6HGgwGajabkpQfk0Oxn5fVCnncRtuVbbec+Jzc5hFbWQAAAC4EAfkiuYIaWwVcbXUVNo5Jc0B1ePNtVtsVPELObQ0Ooe6vdeB1X3HccMPn5RDptghJS0HTfb4Wd/TzBh0O7XErbbdAeCLGYDBY2izFbSGtVku1Wi1vf93r9dTr9fJovLjByGQyUavV0qlTp3ILSHwOVnuMXYn3/cXQHkN9r9fbmy88AAC46hGQL9J9992nW2+9NffgOrDFPtp2u730ubh9tKu7w+FQ4/FYlUpF1WpV3W5X1Wp1abvkeHtvt9zv99Xv95emUHjig6vHcfvrUqmkbrebF+TFkWrS9gJEt3E40MeeX7eIOCD3+/0cwn0cB+N6va5Dhw5pa2srj8hzkPfItsOHD+fWjePHj+cxdnHnv9heYj4XB+i4nbUf+zve8Y59+14AAABXFwLyLnzgAx/QsWPHljbIcA9uvV7PFVQHutj2EBeoeX6xNxeJEyPiFIk4A9jXlbYDoyu4ruo6rMepF/G+Hbodhn2fHlUnKfcLuxXD4dcLC2MbRjwXt590u91csXZV3I+r1Wrlqm+v18sLHN2e4Sp93HjF4mYjDud+zmN1HAAA4EIRkHfp3nvv1Ytf/OIcQh0AW63WUvCMo8ccOCXlMOjbN5vNpVYNhz+3DKyOd3PAdXXZ9xNDtXuW40g4V3N9jvEcXBV2GK5WqxoOh0t9zLESbq7ojkaj3H7S7/dzqHcgd3tGr9fLu/J1u938GF1Bd8CPPcmrs6RdJY/TNqgeAwCA3SAgXwK///u/rx/4gR+QtD0LuNFoLPUhO/S6YuxNPbzDnKu/rgA70A6Hw3wbL0pbXfTn+42j4uJGGw7Og8FAknJwjv2+cRMPh1JfJikHa7eEdDqdHL59P67wunWk0Wio0WgsjbLz1A63WnjXQFeufT8+T1ebLbZa+HKH8be+9a178vUFAADXFgLyJRJHth0+fFiS1O/3ValU8uxfaXmChYOjK6PNZjOHWElLAdfV17hoze0Tvm61Wl3a2c+VW29eEnf3823d5xvbJGLQ9Qg1z2yOm4H4fOJW2q7+DgYDNRoNdTodDYdDdbvdpYWErjR7Ckiz2czn7cfh83JV3BXu1S21y+Wy3v72t+/BVxUAAFyLCMiXyIc//GFJ0tOf/nTNZjNtbm7mBW433HDDY+Yixx3hSqWSGo2GqtWqer2eJpNJ/tufc8COI81Wt3Z2YHQ116HSVeJqtbo0Ts073fkYsYXCi+TW19dzYPb9uFod2z08gzlOkvC/fW4+v3q9nj+Oi/vcJuJw7E1TYrCO/dR+PL4PAACAS4GAfAk9/elPz73HW1tbefavJ1O4fSFOjJCWWyWk7XFl0vZ4NUm5FcLh0WPYvJDPQdcTIxzCXdl224e0PTPYLQ0OtXEBn89tdWvrUqn0mNaMGPZjyHVV2o8jpaR2u53Pz60gbhtxJdvnHd8E+P4dlF2t/q3f+q29/+ICAIBrBgH5EvrsZz+bP37+85+fZwoPBoOldojYLhF3q4t9yKuL0dzP6+BpcZKEQ6S0XO31QrgztVCMx+O8I53P05VZT6KIWzd7QZzv0yFWWp737NaSwWCQWzN8Tt4wJFaET58+vVRlX912Oj4en0Ns9wAAALhUCMh75P7775ckPfe5z81VWlc8XWV2aI5/pO1tlD0fWdoea+YtoAeDQZ4s4XA7Go3U6XTyltFe7OcFc9PpNE+l2NjYUL1ez73AcY6zK7YO6HGe8mg0yoG73+/nOcUOx1506C24u92uNjc38258lUpF/X5fKSW1Wi212+1cgZ5MJnksXOwzjhuhuHpeKpV0zz33XJ4vLgAAuKqVzn8V7MYDDzywNNvY/b9uZZCWWypiq8Lq9tD+OFaaY2XYFeYYaOM0C7cyONS6quvjxRYOX+6PHXB9TE+z8CSKer2udrudA/zW1pa63W4OvL7ci/38uL1Ir1qt5k1IYkuJn7OiKFSv17W2tqZKpUI4BgAAe4YK8j5w+4ODnnd8czCVtidWrLZDrO6853nCDrOxp9jTH2JPr/uBPf3B/c8eF+cwHecJx2qtpKWxcuVyWYPBIIdlV54bjYbq9bp6vV6eTuEqt2/rCrn7pOPjbjabuSLtXm1XikejUZ6IUa1W9eY3v3nPv2YAAODaRQV5H3zoQx9a2vTD1VfPQx4Oh/lPvV5Xo9FQq9XKUxxcTa7VarmdQdreuS/2LEvKrQwOr/Hz3rXOQTv+8QK8SqWiVquler2+NInC14tbQMcWDC+oczj2GwLvrueQ69aOuDjRjym+aZDm0y2azabW19d16NAhwjEAANhzVJD3ycc//vH88XOf+9xc5V3tPz58+LCq1WqeguFQK23PB3arQgzdru7GBXzuQ45j0mKIjZMhJC3dvlqt5l7g2OLhCRnuZXZAr9fr2tra0nA4zI/N13XA9Tg4L9pzSI474sWtue3QoUNqt9u666679uJLAwAAsISAfBk88MADkqTnPe95uWrb7/clSRsbGzpy5EhugWi32xoOh0sh2rvwxe2bpXkA9hbNDp5xQob/dviMx7RarZY3/3C/sI/l+44V6Wq1mnfD8x9XnYuiUKvVUqvVUrPZXAq/cdMPaT6Nw9tbezGhNA/tjHEDAAD7iYB8GX3kIx+RJB07dixvvvGVr3xFo9FIR48eVaPRyFtNS8t9vNVqNQfMuKW1tN237JnCbluIWzOnlHLAdpiNrQ1uA3EAd7XarR4O3J7MESva7jv2dR3afd5x8d14PFapVNLGxkZepFetVtXpdPKCQgAAgP1ED/IBcO+996rZbEqaV4EfeughHT9+PE+qiJuKOCB76+h6vb60sM5j5LwzXdzWevXj2N7hMD2ZTHKf82rLhqu/DryxguyFfnH76Dj6rVwuq9fr6dFHH1Wv13tMS0jcXGQwGOQ+6V/5lV/Zt68DAACARAX5wLj33nt166235vaJL37xi3rc4x63tOvcYDBYWgznVgppewtr9y2vXh4Xxblv2KE7TsQYDAa5zcLVZVdyXf2Nf/t4cSGfj1sqlVSr1fJxu92uTp48qUajoWazmadUzGazPL95Op3qbW97274+9wAAABEB+QD5wAc+8JjLnve85+UFbg6s3mXO2zy7wuwWiV6vly+LCwFjG4U/7wV4RVHk2ci9Xi/3RPvzrh67pcLh2K0VDtlumfCfXq+Xe5TL5bLW1taWpmG4Cl0ul/Wrv/qre/4cAwAAnE+Ko7bOe+WUdn5l7Klbb711qQLcaDTyx7Edo9vt5qkSrhq7guzqrvuNJeU2CwfXeF1JarVaS5MnVnui43xjz2aWtLQhSLydg/Vb3vKW/XjarhhFUex6D21er8C++UxRFM/YzQF4vQL7ZkevVyrIV6hYbb7tttvyFtCuGMed8SaTSd7UQ9JS4PUW1b69w7G03TrhRXpuwxiPx6rX6xoMBhoMBjkEu8XD1W5f5sq3+6z9calU0nA4JBwDAIADhYB8Ffi93/s93X777UsVXO9sJym3Yni7aQddV45XWy+k7UVz3tTDx3Gl2WPmfN3RaLQ0Ms5tE27ReO973ytJuvPOO/Wud71rr58SAACAi0aLxVXoBS94garVqq6//npJ8zArKbdheOGdN/Nw+0Xcoc+LAD03OVaJU0oajUZ5EoZ7on09B+5Wq6XxeMyiu4tAiwVwRaHFArhy0GJxrfrwhz+cP3avcqlU0tve9ja98pWvlKQcaj36zVMo3JohKYfecrmcd8WrVCq57SLusOfjNRoNvfvd797HRwsAAHBpUUG+hn3f931fnobRaDS0tbWlRqOxNBHD/cej0UidTketVkubm5uSlKvKKSW9//3vv2yP42pEBRm4olBBBq4cVJBxbh/96Efzxy94wQvyaDe3VpRKpccsBhwMBrnq7PnI9913376fOwAAwF6hggwcQFSQgSsKFWTgyrGj1ytbTQMAAAABARkAAAAICMgAAABAQEAGAAAAAgIyAAAAEBCQAQAAgICADAAAAAQEZAAAACAgIAMAAAABARkAAAAICMgAAABAQEAGAAAAAgIyAAAAEBCQAQAAgICADAAAAAQEZAAAACAgIAMAAAABARkAAAAICMgAAABAQEAGAAAAAgIyAAAAEBCQAQAAgICADAAAAAQEZAAAACAgIAMAAAABARkAAAAICMgAAABAQEAGAAAAAgIyAAAAEBCQAQAAgICADAAAAAQEZAAAACAgIAMAAAABARkAAAAICMgAAABAQEAGAAAAAgIyAAAAEBCQAQAAgICADAAAAAQEZAAAACAgIAMAAAABARkAAAAICMgAAABAQEAGAAAAAgIyAAAAEBCQAQAAgICADAAAAAQEZAAAACAgIAMAAAABARkAAAAICMgAAABAQEAGAAAAAgIyAAAAEBCQAQAAgICADAAAAAQEZAAAACAgIAMAAAABARkAAAAICMgAAABAQEAGAAAAgsoFXv8RSV/aixMBkP1nl+g4vF6B/XEpXrO8XoH9saPXayqKYq9PBAAAALhi0GIBAAAABARkAAAAICAg76OU0tYeHPOJKaVXnONz/+5S3ydwtUop3ZhS+p2U0n9MKX0mpfSnKaVbL8N5PJhSOrpy2Z+llD6XUvpySun44uPPpZSeeAHH/d6U0neFf787pXTs0p05sH9SSkVK6V3h35XFa+O+CzzOY15vO71OSulQSumdKaW/X/x5Z0rp0A7u86dTSq0LOc+V2z81pfRfXeztcX4E5CvfEyWdMSAD2LmUUpJ0r6Q/Korim4qi+HZJd0j6T85w3Qtd4LxrRVH8o6IonirpFyT966Ionrr48+DKuZXPcZjvlfRd5/g8cCXpSvrWlFJz8e/nSfrqPp/DWyX9x6Iovrkoim+W9EVJ//cObvfTki46IEt6qiQC8h4iIF8GKaXvSSl9IqX0/pTSF1JK/2rxw9nvUv/PlNKfL/7854vL355Sekk4hqvR/4ek/3JRSfqZc9znP00p3ZtS+oOU0hdTSj+eUvrnKaW/TCn925TSkcX1fiSl9OmU0l+llH7P73BTSt+8uN6nU0p3xWp4Sun1i8s/n1L6pUv/jAH74nsljYqi+Je+oCiKLxVF8RtSfg29L6X0B5LuT3O/nFL6dymlv04p3b643vfEClZK6TdTSv908fGDKaVfSil9dnGbJy8uvz6ldP/i9fgWSWmnJ72omp1KKf3vKaU/l/SdKaWvpJSuW3z+u1JKH00pfbOk/1bS6xf/XzxzcYjnpJT+ZFE13/dqObBLH5b0A4uPXy7pPf5ESunI4ufe5xc/v75tcflZX28ppVcufvZ+LqX0lnO94Vz8fP52Sf9buPguSc9Y/Mw84/8FKaWflHSzpI+nlD6++NxWSulXFv83PJBSumFx+SdSSs9YfHx08X9IbXE/ty/O8/aLf/pwNgTky+dpmr+DfIqkb5L0j8PnThdF8Z2SflPSr53nOD8n6Y8XlaRfPc91v1XzavN3SnqjpF5RFE+T9KeS/pvFdf5NURTfURTFP5T0HyTdubj8bkl3F0XxHZIe8gFTSs+X9F8sjvlUSd+eUnrWec4DOIj+gaTPnuc63y3pVUVRfK+k/1rz7/l/KOn7JP1ySunxO7ifR4qieLqkfyHpv19c9r9K+tTi9fhBSf/pBZ77IUmfLYriO4ui+NMzXaEoir/XvLL1y4v/L/5k8anHaf7/zzFJb7rA+wUut/dKuiOl1JD0bZL+LHzulyT9ZVEU3ybpf5b0zsXlZ3y9pZS+RdLtkv7x4rc1U0k/dI77foqkzxVFMfUFi48/p/n/J2dUFMWva/5z9DlFUTxncXFb89fw0yV9cnGOZ7v9SMu/SfrX5zhHXCQC8uXz50VRfKUoipnmL6Ynhs+9J/z93ZfwPj9eFMVmURTHJW1I+oPF5X8d7v9bU0p/nFL6a83/Y/CL/LslvW/x8e+EYz5/8ecvNQ8XT9Y8MANXtJTSby1+k/LpcPFHiqI4sfj4n0h6T1EU06Iovq75D7Xv2MGh/83i789o+3X3LEnvlqSiKD4k6eQFnu5I0gcu8DZ2bzH3eUm3XOQxgMti8X37RM2rx//vyqf/iaR3La73MUnXp3l/8Nleb8/VvCL86ZTS5xb//qZz3H2SdKZZuWe7/Fxmkhx03704d1xG+95Hh2wYPp5q+WtRnOHjiRZvaBbtGLVd3ucs/HsW7v/tko4VRfFXi18Lf895jpkkvakoirdcxPkAB8m/l3Sb/1EUxX+X5oty/iJcpxs+PlsbRH6tLjRWPu/X3ble9xeqXywPtY/nsHr/q+L/Cztu7QAOkA9KerPmP6+uD5ef6fu5WPk7SpLeURTF/7TD+/33kp6WUiotil1KKZU0/63Sf5B0k879f8G5POZn/wXeHrtEBflguj387V+XPqj5O1tJerGk6uLjTUlrl/C+1yR9LaVU1fKvlv6ttsPDHeHyP5T0z1JKHUlKKd2SUnrcJTwfYL98TFIjpfS6cNm5FtH8keY9gOVFv+CzJP255ruhPSWlVF9Uq567g/v+Iy1ebymlF0g6fDEPIHhQ2/9f3BYuv9T/XwAHwf8j6a6iKP565fL4uvoezdubTuvsr7cHJL3EP8MWPcxn3XWtKIq/0/y3p28IF79B81aJv9O5/y9YfS2WJHmd0SskfWrx8YPafi2/JFyf1/IeIyAfTPWU0p9J+ilJXnj3f0l69mIRzj/SdiXr85Imi18Fn3WR3gX4XzTv4fqIpC+Ey39a0j9f3P/jNW/RUFEU92vecvGni7aM94sXLa5AiwrsMc1fZ19cfK+/Q9L/eJabfEDz199faR6u/4eiKB4uiuL/k/S7i8/9K81/gJ7PL0l6Vkrps5q3LH15Vw9G+kVJv51S+mPN2y/s9yW9bLE46ZlnvCVwhVm0K959hk/9ouYL5j6v+YL2Vy0uP+PrrSiKv9E84N6/uM1HNP95dy53SnpSSunvUkp/L+lJi8t0nv8L7pH0YS/S0/xn+j9IKX1G8wXDdy0uf7Ok16WU/kRSHDP3cc3DN4v09ghbTR8wKaUHJT2jKIpHLve5RGk+zaJfFEWRUrpD0suLonjx5T4vAACudCmlraIoOpf7PLCNHmTs1LdL+s1F//MpSf/sMp8PAADAnqCCDAAAAAT0IAMAAAABARkAAAAICMgAAABAQEAGAAAAAgIyAAAAEBCQAQAAgOD/B+pnHTLM8CXOAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.23489336669445038\n",
      "Accurary: 0.9948958158493042\n",
      "Dice coefficient: [0.87828803, 0.0, 0.9590164]\n",
      "Sensitivity: [0.8106995900353943, 1.1111098765445817e-06, 0.9466019421795959]\n",
      "Specificity: [0.9992373858296999, 1.0, 0.9993967780854097]\n",
      "Gradient min:-0.11675283312797546, max:0.06985418498516083\n",
      "\n",
      "-----------<Summary for Epoch:25>------------\n",
      "Mean Accuracy: 0.9960291981697083\n",
      "Mean Dice coefficient: [0.91169893 0.92009506 0.87031459]\n",
      "Mean Sensitivity: [0.92597284 0.94053752 0.88635393]\n",
      "Mean Specificity: [0.99958182 0.99969542 0.9991675 ]\n",
      "------------------------------------------------\n",
      "\n",
      "Compute time per epochs: 2.01 mins\n",
      "\n",
      "Epochs 26\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.11824287474155426\n",
      "Accurary: 0.99979168176651\n",
      "Dice coefficient: [1.0, 1.0, 0.9285714]\n",
      "Sensitivity: [1.0, 1.0, 0.8764045082691564]\n",
      "Specificity: [1.0, 1.0, 0.999982612022051]\n",
      "Gradient min:-0.04717624559998512, max:0.033230915665626526\n",
      "Compute time per epochs: 0.59 mins\n",
      "\n",
      "Epochs 27\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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jVqvBNE32A5OVgmwSlLEci8UQBAFCoRBqtRra7TYikQh7fxuNBovwcrkMANB1HZlMBrVajX3RzWYTQRAgkUgglUqhWCxyUgct7D3//PN44YUX0O/3eaLcbreRTqfRarXgeR4L7FQqhXa7zfFwmqYhlUpB0zQkk0lMT09jamoKjuPgxz/+MY4ePYpHHnlk094bgiAIgiAIwDUmkN/znveg2+3iAx/4AG677Tbs3r0bkUgEjuMgGo3CcRxYlgVVVdnT2+/3Ua1Webrb7/c5/aFarcK2bdi2DV3XkUgkeNIbi8XQ7XY507jVarGwHQwGG2wapmnCcRy0222Ew2EAQDabRa/Xw2AwQKfTQbfb5cW9cDiMdrvNVgtKqSAB3u12uYrasixUq1W+favV4t+ZTCZRKpUQjUaRSCRgmiY6nQ6nZlAJiaqqaDabePbZZ/HQQw/h/PnzMAwDiUQCtVoNS0tLMAwD6XQa7XYbxWKRJ9T79u2Dbdtot9twHIcn0vQhIZfLoVAoYHx8HOfPn8eHP/xhfPvb397Mt4kgCIIgCNc414xAft/73oexsTEcOnQIhw8fxrZt25DNZtnbS2kQhUKBEyhUVUWlUgEAtiX4vo9IJAJgPUmCotc0TUM4HIau6+j1eojFYtA0jSe0w5NpErL9fh/AekV0JBKB7/u8JEf11TShpQk2eaFpMdBxHJ5Gk80jFoshmUwiCALUajU0m00oisJlJWT16Ha70HUdAPhYhgUyCfrl5WU8/vjjeOyxx3D69GmMj4+jWq2iVCqhVCphamoK/X5/gy85lUphZGQEpmmi2WxyPjM9f91ul5cUgyDAzp070Wq10Gq18Gu/9mv413/91yv6/hAEQRAEQSCuGYGcy+UwOzuLXbt2YWJiAtlslifFlDChKAocx0EsFoNlWZxfbJomWq0WHMfh5TVVVXlhLhqNco6xqqoYDAZsa6DqZ03TWAzS9JiEL6VYkNUhmUzybXRdZ2G5urqK2dlZ9Ho9mKaJRqPBS4Q0ZdZ1HYVCAZlMBo7j4MSJE5yUkUgkuIiEYtfy+fwGwQys+4vJVrK0tIT/+7//w5NPPonV1VXUajUYhoFMJoNkMolYLIbx8XEuNZmYmMC73vUu7Ny5k33MlPRBz1M0GoXruly1raoqrrvuOjz33HNcr/1Hf/RH8DwPX/rSlzbzbSMIgiAIwjXI214g33PPPcjlcrAsC2NjYzh48CByuRwXblAyBYANi2mhUIib7YaX7gCwkBwfH+cUC9/3USqVuLmOFuPC4TAcx2GxS6KWprk03aUFQGrBA4AgCACsl4lQZFyz2USr1cL4+Dh834emaeh0OvA8D4Zh8PTYsiyUSiVO5Bhu7KNqbABcT00+YbKArK2tYW1tDceOHcNPf/pTaJqGeDzO9dV33303tm3bhmQyiVwuB9d1cfz4cezatQvXX389giCA7/sol8v8oYEWFemDAT1PtBQ5bOmgyuxPfvKT+Kd/+qcr9G4RBEEQBEF4G1dNv/e974VlWdi3bx8XWdx+++2oVCpIJBJIJBK8mEc+YWrDy2az6HQ6qNVqCIKAW+lM02Svcq/Xg2VZXC0dCoXQbre5JprumzKFHcdhywXlFJumCV3Xkcvl0O/30e12MTk5iVKpBGA9NYOmzyTmI5EIEokE5ufnAYBFpWEYCIfDLOorlQpXTwdBwE2AZKUgQU5T8tnZWeTzeZw7dw5zc3M4ffo0/vu//xsLCwuIx+MYHx/nYpEvfOELWF1d5fup1+sAgJtuugnj4+NYW1tDv9/nzOYgCNDv93kKHwqFEI1GkU6nUSqVMDc3xz5nspjQ8+m6Lk6fPo1Tp07hm9/85hV9D20mUjUtCFcVUjV9gQwGd0BR/nezD0O4trk2q6ZvvfVWpNNpKIqCQqGAvXv34ujRozh27BiLVMuy2ELh+z4A8KJcLBaDrutQFAXhcJgLOsj2QNPjeDzOiQ/dbheu63Lkm2maKBaLCIfDLIrJTkBLfhS3ZhgGstks5yA3m00Wl+RbpkIQmkpnMhkUi0VEo1F4nofV1VW2LtACYKFQ4Ba8VCqFbreLtbU1VCoVrK6uQtM0LC0tIR6PI5lMotlsYseOHSgUClxC0m638eSTTwIAbrzxRqRSKa7LBsAfEDRNg+M4OHfu3Ib8ZMpXjkQibEUha0m/30e5XMapU6fQaDSwc+dOZLNZjIyMwHVdlMtldDodxONx7Nu3D/l8HocOHcJnP/vZzXljCYIgCG+KweCODf8WoSxsZd5WAvmmm27C2NgYJiYm2HO8bds2dLtd5PN5LrIA1ie6w6KTfLixWAzA+uIctb+Fw2GOYyuXy1AUZYMvmcQgCUOCIuAikQhnKkejUY53U1WVj0NRFKTTaVQqFRiGAU3T2N5BE1iyKpDoJZ8zCW5FURCJRKBpGiKRCJLJJE6dOoUgCJDP5zE6Oop2u425uTmUy2UW1CsrK2g2m5ienkY4HMbY2BhP2Q8ePIhkMonrrrsO7XYbo6Oj0DQNiUSCm/RUVcXExAQGgwHq9Tq2bdvGkXe05EhiOQgC6LqOdDqNubk5nD9/HvF4nMtTqtUqNE1jn3cQBAiHwwiHw7iYv3YI1wZ0oQXkYisImwVNhYfPxwv9OULOX2Gr8bYRyEePHsXBgwdx9OhRTExMIBaLoVAosN0hHo+j2+2yEItEIiyGXwuyPxDJZJLFGpVntFotxGIxbq+zbRutVosFN0WZeZ6HVCqFVqvFC30AOJmCBDDlHbuui1gsxjnKFI+mqiqKxSIL5EgkglwuB9u2+ZgMw+Cq61gshrW1NSwvL2NkZASTk5PYvXs3EokET6AfeughrK2t4cknn8T27duxY8cOXliMx+P8HNTrdZ6Kk687Ho+jXC6ztzkajfLkXVEU9hYDYNFPU/Z8Po8gCNBsNjc0DHY6HTiOA8/z4LougiDAuXPn2B4iXNu81kX45V+XC64gvHW8/Hy7WHH8Rvcn56+w2bwtBPL999+P2267De985zsxMjKCSCQCy7J4EY2gMo5LhSa0AHjBjH6P7/vo9Xqo1+tQFIUtHJZlIRKJsG0jCAIkk0le/KNjogY/skqQR5gsIJZl8WOgGDZaxguFQjw1tm0bmqZxxFuj0WAhvLy8DN/3USgUMDIywr/n6NGj0HWdLSKhUAjZbBbtdps/FLRaLSSTSfR6PY6GC4fDHEfX7XbZD+26Lnq9HrrdLi8Y9no9XlS0LIvLTFKpFJ577jkcPXoUQRAgCAK2vjiOw6UslDd9//33Y+/evfjTP/3TS34dha3Ly/2Jb+aiKxdcQbj8vFkhfDG/R85ZYTO5qgXyfffdh9nZWdx1113Yu3cvcrkcFEVBMpl81du/GXH8WlDlMuUOk3jUdR2O4yCdTvPv7vf7LHpbrRYnNZDn1nVdFrwkegeDAdsnNE2DrusIggBLS0scR0cpEJSZTJNnz/OwtrbGBSOu63LRyPbt2wGsp29Eo1Hs3bsXjuNgfHwcALgoxHVdnnLruo5qtcrPo6Zp3IrX6/XQbDZ5YhyNRvmxUPlJs9nkam06jgMHDuDYsWN49tlneVLe6/VQKpU4F5nE8djYGP7f//t/l/01FDaf4YvuxVyAP/Ho63//a3de2vEIgrCRyymMP/GonJvC1ueqFsiRSATvf//7sW/fPp5GXkmo5W4wGLCVwzAMXqyjRb9h/zDFtfm+z8KThDXFtlE8HHmfXdfl5ItcLgdN0zA+Pg7bttFoNJDNZmEYBhzHQTKZRCKRYD80pWIMBgPk83kYhsGTbABotVqo1+tIJpM8wSZBrSgK20ZoUbDb7bJHOJ1O87Kd7/vIZrMshqnMhDKeqdmv3+/z14IggGma0DQNDz/8MCYnJzE6OgrDMFAoFJBIJGDbNld+z8zM4Itf/CI+85nPXNHXWXjruNiL7hsJ4le7vVyIBeHNcani+PXOV/re652fMkUWNpOrUiD/1V/9FR599FF86lOfwnve8x5OVbjSUOkGJUeoqsreYpr8UnkHiWlFUZBKpTY05SmKgpGREfR6PY510zQNtm3zEiHFzbXbbaiqinQ6zRXWpVIJnudB13Xk83meSiuKgtnZWYyNjfHSW6PRgGVZPG2ORqPYs2cPH7dt20in02yZ8DyPH2+r1UKlUkG9XsehQ4dgmiZisRhKpRJc10U6nea85CAIsLKywv5jXdfZo9zv93nivbS0BNM0cfPNN+Pd7343YrEYarUafwAolUocEef7Pnzfxz//8z/j/vvvv8KvtnA5uZxT4gv9ebnYCsLF81Z/iBWErcpVJ5AfeOABnDhxAh/60Idw1113bZo4JlRVBfALsUyV01SpTMfX6XR4yYwmyvRz9H0SueTZHU7AmJmZAQCcOXMGmqZhbW2Nc5YXFxeh6zqSySQ6nQ5nIdPyXzKZhGmaAMAT3iAINiwg0jElk0lepKPj0zQNvu+j0+ng3LlzWFhYwK5du2DbNjzPg6qqXIISiUQwGAxgWRbnN9PUmGwjFGNXr9cxGAxw66234tZbb0U8Hodt2xwdpygKF584jsMlKy+99BIefPBBJBIJqKqKs2fP4g/+4A/e4ldauFxcyAX3rbjIyoVbEC6OCxXHb+bceqNJsnywFTaLq0og/83f/A3m5+fxq7/6qzhw4ABPPTcTRVHgui50Xd+wwEa+YaLf73MEGwCerJJQpgkpeZYBcMoG3afv+xyJRnaIbreLWCyGVCoFXdfRbre5NIQEealUQjab5Rxi27YRBAHi8ThqtRpPwIdj7uiYSShrmoZsNotut4vnnnsOv/Irv4JWq8UNftQASF7scrmMSCSCTqfDddO2bWNubo5F9crKCsbGxnD99dcjFApxwYiiKCiXy+j3+1waQrFxKysr2LZtGwCg0Wggn88jkUhc/hdWuOxciYvtG/HxR+7A14/KxVYQ3oitcL6+ESKehbeSq0Ig//Zv/zYqlQr279+Pj3zkI2g2m2g0GhgZGdnsQ2Mcx+GEC+CVC4HUqAcAruvCtm3k83l0u10W04VCgWPNVlZWsLq6CsMwsHfvXhbhhUIBwLrHl4RmKBSC53lc42wYBtdV07EsLCxwhXa73eY85FQqxbXaExMTvNg3Pj7OE2jHcaDrOjzPw3333YfTp0/jy1/+Mj796U9j3759sG2bXxPbtnkaXa/X4XkeMpkMYrEYJiYmMDY2hkcffRTnzp3D7bffjsnJSX4M/X4fxWKR/c6dTgfVahWdTodLVQqFAkZHR3H+/HkYhoFarcatgsLVx1aY6krahSBcOG/VOXsh+wJXKkFDEABA3ewDeCN+7/d+D6VSCb/5m7+J6667Dmtra6/IJ95syIZQr9fRbrdf97bkGSbx6LouPM9Dt9vlUoxer4dwOIydO3dix44dcBwHrVYL5XIZa2tr3O5HP0eLfuRVJotFKBRiu0MqlYKiKLwoSIuBlIJBy3gksGmyraoq4vE45xw3m03cdttt6Pf7eOGFF1jY6rrOopYyoS3L4mPrdDrodrvodDqYmZnBPffcgyNHjnDJiW3bAIBqtYpnnnkGTz/9NBYWFjhnmmq5I5EI3/fk5CSy2Swv/QlXF5sljj/+iAhiQbgU3upz9o3uX1H+V85X4Yqx5SfIqqryMl61WkU2m0Umk7nspREkOIenwARNMF8L8gzTQhtZIciDS9FujuOgUqlA13UkEgn2HZumyZNhAGwrCIKAo91oGa7dbqNYLGLXrl2IxWJwHIfrnemf4cdEk21aqFNVlafRJGg9z+OyE/IRk+h8eZmKZVkoFAq44447uPnOtm1O6SCrBrUBjo6OYjAYwPd9tk1MT09DURTUajVO6qAGvT179sCyLMzNzaFUKnF2MtlDaLqez+cBrNtAhm0pwtXBVpgcDyMXXUF4bTbzfH21c1POV+FKsGUF8t/+7d/CMAwcOnQIO3fuZBFWKBR40pnJZC7L76KlMPIFU8QZ8XriGFgXyCRiaakuCAL0ej3+frvd5lposka0221omsYLdPS7B4MBTNPkRT0AHJFGhSONRgOGYSCdTmN1dZV/lpbbut0uP7bnn38ehUKBkzNowjycXTyctBGLxbhSe3hZj6bOExMTyGQyOH78OMrlMsLhMGc602OiMhBd17kNkJ7XSCS/Mpm5AAAgAElEQVSCdrsN13XR7/c5Hq5eryOfzyObzWJ6ehrFYhHnz59HqVSCaZoYHR1FEARYWFjgwpR2u83ZzcLW50IutF//i6/h43/xibf8WARBeGOutDiWaEZhq7AlBfJXvvIV6LqOffv24aabboKiKGi1WlhdXcXy8vKGQovLAXmAySd8KckYuq6zYPd9n4UliW7DMFgQ9no9Xjqjpj2ChO3Lp8H1ep2F+GAwwNLSEgBg9+7dLEDJ2lCv13nZTdd1rK2toVgsolAoIBKJIJvNcsoETX6pAa/b7aLdbrPNo9lsAgBM00Q4HEaj0UAymUS1WuVjoxpv+nlN0zakaYTDYfZJk82DmgjJfkHimZrzTNPE5OQkIpEIzp49i9OnT2NpaQmzs7PwPA/z8/PcHjjs7xa2Lhd6oRVxLAhXDvL1vlqD5Vb7S48gXEm2pED2fR979+7F2NgYi1XyodbrdUxPT1+26THwiySJS4XEaSwWQ6fTQbPZRDKZ5FKOSqXCYjcIAqRSKf4eeY4pqYISIYD1RTyabtMEmiwZZK8gT3Y0GuVUCfIyUwrEzp07sbS0hFqtxm128Xgc8XicI+noQwIJ1XQ6jWg0inq9zikUZCUh28fU1BRSqRTXavf7fRb8tHhHNdW9Xo9fS8p7puOjKDiKbavX66jVagiFQlAUBTMzMwiFQnj88cextraG22+/nb3N4XAYg8EA3/zmN/Gxj33sTb2OwptneInm5RfcrXaxJS+ypFoI1yqv12C5WeerTI+FrcKWE8gPPPAA9uzZg+npaUxOTm743uTk5Cu+ttlQvBm1wlHqAi2vkfAkgUlLdbScZ5omWyeAX+QR+77PC3PkbR4MBqhWq4jFYixSW60WNE1DKpWC7/vwPI+FLLA++d25cydyuRznFpN/m8R0EARQVRWqqiIcDvO0GAA3/zUaDWiatqE6e2RkhKfaZP1IpVJckEIfCnq9Hjqdzoamw3K5DF3XkUql0O12MTY2xikctm1z7TRFvL3zne9EPp/Hc889h2KxiGw2C0VR+IODLOptPi+/wA7//5W62H7tzov7XSKOhWuV10uE2CofZsVrLGwmW0ogf+ELX4DneZiensbExMRmH84FUa/X2cpQLpc5to08t5QI0e12kUgk4Ps+bNuG67pcUU2TVWq2A9bFcK/X4+xkWgKk5b1GowFFUbhWmqwNJMZ93wcAjkfLZDJsZaCWP9u2YRgGEokEi23gF+1+w55sEuvJZJIFrKqq/DOUwkGCnloFVVXl7OV6vc6Zxc1mE5OTk+zJ/vnPf85NgLFYjP3Ouq6j0+nAtm3s2LEDuVwOP/3pTzkFpNlsotPpiEDewlzpi+3wBOq1fvfLkywEQVhnq4hjQdhstpRAHs65fbO2hytBu91Gq9VCoVBgz7FlWWxJoIpk8vNSIgOwPoGlpAcA7P2NRqMciRaLxdgfTNBCHCVD6LqOdDqNSqWCXq+HbreLXq8H0zTZu91qteC6LtbW1gCsP88UAaeqKmKxGGKxGEeqkYcYAE9xyUO8srICRVFgmuaG+DZq0xueltNzEATBhkIR4Be+ZZoAnzlzBo7j4N3vfjcmJiZYlA9XYpOv+tChQ2i322g0GiiXyyiVSohGo/jsZz+Lz33uc1fs9Rd+wWtNozZjwYf42p0XP1EWhGuBrXK+CsJWZssI5AcffBCZTAaWZb0iWmyrEgqFuMGO7AUUmwaALQOUJUxCNRKJcLoDMRgM+DY0eY1GoxuW9shn7LouDMNAp9NBuVyGpmmcmkHlHoqiwLIsNJtNbs4bvh/XdZHL5ZBIJBCPx+E4Dnuj2+32hgpssl3QFNu2bYyPj/N0WNd1nmBnMhn2NQdBAMuyUC6X4boudu7cyRPmsbEx1Go1nD59GpZl4YYbbkCz2UStVkM8Hufb9ft9jo7rdrtsS9E0DfF4HMlkkqfunU4Hf//3f49Pf/rTV/JtILwGm32xfaPfL/YKQRAE4bXYEgL5y1/+MqanpzE9Pc2pCVcDNA12HIej2lqtFtdADwYDxGIxeJ7HwjkSifDy2XB6xXDqBU1nqcCDSjxoSgyAJ8/lchm+72NsbIwtCjT9jcfjGAwGyGQyXENt2zZCoRBs2+b7oma/bDYLAOyLpuPWNI0X7jRNQ7PZ5EkxAF7Ao8VEspeQHaRYLLL9gxYa+/0+UqkUx9ypqopkMomlpSXYts3LdySSyR5iGAYikQhs2+bnORaLodvtwjCMDZF5gvBqiDAWrmWkjU4QLoxNF8j/8A//gF6vxwkG119//WYf0gVDU1PXdVGtVuF5Hk8zyWLgOA5isRji8ThbMhRFQbPZhO/7LCoJ0zTZFqGqKhYWFmAYBtdH93o9OI7DE+ZsNgvDMHjSHA6HUSwWkclkEIlENmQjh8NhhMNhnDhxAmNjY6hWq3wMsViMBT/lLycSCZ42JxIJdLtdtFotpNNpnlLT1JtsH7VaDZ1OB6ZpIhQKodFo4JZbbuHHRQuMtm1zTJvv+6hUKkilUtixYwcqlQpPwGmanM1muV57bm4OiqLw1F7TNNRqNU7O+M53voP77rvvyr8hrlFe64J7KfaGtzIDWYSxIFw+vv4XXwMgsYzC25dNF8jJZJIzc1+txW4rYxgG+4s7nQ57e8mWoGka+3HJhuB5Hlcw02R2mHq9zrXL/X6f4+BWV1dRLpfZwkATVU3TMDIywgLcdV2k02lOn8jn85y9TGkVhmGg3++jVqsBWI/QC4fDiMVibNOgFAnf91EqlTj+jRYSh3Oa2+02t+9RKoZhGAiHw0ilUhzrRiKd6rj7/T4qlQp7mfv9PrrdLnujyZ8ciURQqVS4FZDEsm3bKJVK3DgYDof561/5ylfwO7/zO1fw3XBtcjmmUXShFQThrWWrn6/DC7aSYCFsNpsqkB988EH+Uz2Jp6uJ4UkvLaRRmgKlMNDkt16vo9PpIJvNIpfLsbh9OfV6HUEQcNqEoiiYm5vD2toaEokER8LRcxWPx5HJZGCaJvuHLctCNBrdYFGgVAnf9xEOh2Hb9obEC/Ic0xKd7/ucZ0ylHtS+Rwt79H0S32SpoMzqZrMJ13X5cTebTbaM+L7PC36WZbFIJrtGt9vlDxm0kBcEASqVCtLpNP8siep2u82JIoPBgCfqwtXFq02jZFIlCFuDl4vjy3lOSv6xsNXY1KiIbDbLC2Qkrq4GKEKNxB95dRVFgaZpHFNG0+Pl5WWoqoqJiQkkEokNpRnDUPwbCdxarYaf/OQn+M///E+Uy2WeDNOknSa4tm2j0+mg1WqxKKdFP6p+Hk6lyGaz6Ha7SCaTyGazGBkZ4cmu4zio1WpQFIXvMxqNIh6PwzRN+L6Per2ORqPBBR/xeJxfOxLi1KpHgr7f76PRaMC2bRbKqqoinU4jlUpxocjKygp83+cYPFp0pPsPggDlcpnb+FKpFBKJBEfJOY6DkZER9lMLm8eF1kpfCcReIQhXjjd7Xsv0WNgKbJpAptSKVquFiYkJRCKRDfXFWwVaRCOB6bouXNdFpVJBpVJBvV7npTWyQ9AEdHV1FWfOnMHy8jLbG4YtFRTh1uv1ODmC7AnLy8v493//d3zta1/D6dOnkUgk2EtMFc6JRIK9xs1mk4UjsL44SAIeAKdKkKAdTqVwXRf1eh3VapVj3SKRCE+eaTJNz0csFsP4+Djy+Twcx+HlOUqWIGsJTZ7JfqHrOvuKU6kUUqkUMpkM+53pPkgoLy4uolqtciV3NBrlxzvsmzZNE9lsFvv27cPhw4dx8OBB3HLLLfiTP/mTK/lWES4Db4VgFnEsCG8Nr3a+vplzWFH+V8SxsGXYNIuFaZpsRyABNbystpWg9rvBYIB6vQ7DMLCysoJ2uw3f9xGPx9ljHAQBms0mSqUSXNdl+8LJkycxNTWFqakpxONxznmm+DKaKEciEczNzeGrX/0qnnrqKSSTSbz3ve/Fzp07WeSSfSORSPByY7PZ5EISErOUXEG2CrJGUC6x4zjs36WpMvmRacpLfmlqvguHwxwLR4+j1+vBsiyEQiEkk0nOaFZVlT8AUJqGoii8bEc2E/JLU2W2pmnwPA+tVmtDG2E0GuUUjlarxX7veDzOlpJUKsXHRc+DsHUZ/hPt6y3oXeqfckUcC8I6l8N/TOfh69meLvVcFWEsbDU2TSCTh5b+vJ7L5bZERBd5V3VdRxAEmJ+f5+xgz/NQKpW4vS6dTvOf/8lSMBgMUCwWUalUuIBDURTUajWcO3cO58+fh2ma2L59O/L5PABwlTOw7mv+1re+hWeffRbT09PYtWsX7rzzTgwGA5RKJa6YJlHYbrd54ktLg2S5oPxiinSjemtavqN0ikgkAsuyNpSPuK6Lfr+PaDSKXq/HWcvRaBSGYcB1XbRaLViWhX6/zxNpSqmg19dxHBbB/X6ffdUA2FYTCoXYj02+aBLj4XCYPcs0PW+1Wvw9WnpMJpOo1Wro9XpsgYlEIrjpppvws5/97Iq+h4RL43KKYxHGgnBxXEzizOXeB5DzVdiKbJpAnpmZAQA0Gg3Mzs4inU5v1qFsgLKBbdtGuVzm2uilpSWUSiVeiAPWRT6J23K5jHa7jXg8jqWlJXS7XWQymQ25wbQ81mw2EQQBzp8/zwJRURRMTEzgG9/4Bp555hns2bMHR44c4cksRbulUink83nE43EWurQkNyxkXddlPzB5pMkCAqz7v2niGwqFUK1Wkc1m+f7I56yqKkzThOd5PGEOggC5XA62bfPyHt2v67oIhUJc9hIEwYb2PxLu5M+mr9HzEw6HUa/XuZobAB93vV7nRr1hq0q9XmcrDN2fpmloNBr8deHy83oTqc0qCZELrSC8kq2cfSznrLBV2dQJMmXdbhVxDIC9t8vLy/B9H4VCAQBQKpVQq9UwNjYGwzBQLBZhWRb7pql+mXzJiUSCbQKGYaDRaCCfz2NqagrNZhPNZnODyAuFQpibm8Px48eRSCSwf/9+vOMd7+DkiX6/z5aKWCzGWcJkVVlZWeHWObJNqKqKer3OU2FquKM2v1gshnK5jGazyZ5eKjKhiS6VeJBQp6mtqqosfOn4hqe+jUaDp8VkCwmCgG9L03Za3qMPD6ZpIhwOI5lMQlVVXuIkWwgJccdxkEwmMTo6uqGmm2LqTNPEiRMnrorK8quRrXjBlQutILySrXiuEnLOCluZTRPIe/bswbFjx7icYitRq9Vg2zb6/T7q9ToLv6mpKfT7fTSbTaTTaTz11FNwHIftEisrK1hbW8P4+DjGx8d5kttsNtHpdNBsNnHu3DksLi6iVqthamoKmUyGf8/JkyeRy+Wwa9cuXHfddRuKNIYj1ZaWltgOkUwmNzTedbtd9nRTAx9VW4dCIdRqNTQaDV6mO3PmDHbs2IF4PI5wOMwWCt/3N8TQUcYz2SyAdRsKeZppQux5HgzD4Ns0m004joNWq4Vms8nPpa7rqNfr6PV67B8GwMuHJJhDoRB83+eKaXq/DFthqOqbPMuUvaxp2pb1tb/duZSSkEtFLrKCcPUh562w1VFImFzQjRXlwm98ATz//PNoNpsYGRnB9PT0Jd8PiSfP81AsFqHrOtLpNMeSGYaxQYC9nMFggGaziYWFBXQ6HczPzyOdTrPYDIIAyWQSkUgEuVwOlUoF3/3udzE9PY3Z2Vmsra3BcRxks1ns3bsXS0tLsCwLvV4Pzz77LIrFIvr9Pk6cOIHl5WUoioKpqSn0ej1Oa8jlcti7dy/uuOMOvOtd7+KFtHA4jCAIeJJLYpjiz9bW1tjGQDnC4XCY/c2e5/GEnp6DUCiEpaUl1Ot1WJaFffv2odfrIR6PI5lMvqLApFQqYXV1FZZlYfv27Wi1WmyhIMjm4XkegPUJL7A+kR/ONPY8b4P4brfb6PV6LGipAIW8zJRe4bou33bYVpJKpRCNRtkjTv+88MIL+Md//Ec8/PDDl/y+2kwGg8Er36gXyeU+X4e5mKnUWyGU5eIqbDGeGgwGN72ZO3irzteLnSDL+SpcA1zQ+bqpRSHk93358tbF0O122deqKApisRj/+Z5SJxKJBObm5uD7PqLRKHK5HAvYcDiMUqmEdruNarXKrXGpVIqj0kzT5KixRqOB73//+1hbW8O9996LU6dOYXl5GdPT00ilUjhz5gxUVUWr1cJPfvITdLtd3HbbbVxD/W//9m8olUool8totVowTROHDh3CTTfdhP379+POO++E4zicPEHCcdjGAIAj28hWQLXWLxeatLDW7/dhWRbnGycSCU6xaLfb0HUduVyOLQl0n+T/HRkZ4VQMy7L4Oab0CfIhk4AlgUvpJLTAF41GoaoqHMeBaZqIxWJwHAedTge6riObzbIQjkQiG+wcw6K4Uqmg1+uh1WpB0zTOU+50Ojh37hyCIOBGQuHyoyj/e8EXXioAuNAL76tdTAeDO2TLXRAugYs5V4GLP19fDxHGwtXMpgpkSnzQNA3j4+NQVZUFINUjv9GfyKkwwvd9FsU0YaQFumKxiJdeegnJZJJb5KampqCqKpaWlrCysgLTNNHtdjnZoVqtsviiKfL8/Dy++c1vYnV1FR//+MexvLwMx3GwY8cO6LqOUqkEy7IwPz+Pp59+GslkEocPH2b7A9kuHMdhy8aHP/xhHDhwgFMput0uarUaYrEYotEoL+eRZYI8wGSjoOg2yhKmRAld12HbNhKJBEzT5BQJaiykSTF5rWmpjxieIOdyORbS5PWl5kDyHFOsG5WlJBIJKIqCdrvN3mLDMNDtdvmDAS0nRqNRPq7hqb/neahUKlxZTcfV6XQwOjqKZrOJdrvNedKDwQDpdBrz8/N44YUXYFnWW/CuFQi68A4L19e7EL/Rhff1LqYijgXhynKhNikRwcLblU0VyDfccAO+9a1v4fnnn8fY2BhGRkYwGAxw9uxZRCIR9pBalsVNaZST2263eWpKYq7T6WB5eZlTEihtot1uI51OI5vNIhwOwzAMBEHA6RPU+NZoNHh5jWqLyePa6/Xw1a9+FU8++SQ+8pGPYHR0FC+++CInSnQ6HaRSKayuruLhhx9GLBbDwYMHOanhhRdewPLyMmcL33bbbbjzzjuRz+d50Q0AL/VRpTOVbtCCHE2HqViDbBUU99bv97n+2vM85PN5tFotpFIpmKbJQpREKAnaN5q2aprGYhj4RUwfQcdKy3WUsDFcEkJ2CxLF5XIZmqaxkKXXpd/vI5lM8mtQr9dRqVRgGAaSySRH8FGxSCwWQ7vd5tKZXC7HS3zCW8vLhetriWURuIKwebzW+fdGk2X6UPvyn//4I3eIMBbe9myqQAaAX//1X8df/uVf4sc//jFuvvlmGIbBgigcDmMwGCAUCmF8fBzA+tKXbduo1WqYnJxk4Uh2imq1inQ6jcFgwPm/g8EAo6Oj0HUdyWQShmHg3LlzOH36NE9uT58+jXq9jkOHDsEwDCQSCcTjcb7/73//+/j+97+P9773vZiZmcGZM2cQj8cxNTXFE9K5uTmcOnUK27dvx+HDh5HNZlGr1VAqlbheWtM0XHfddbj99tsxMjIC13WRTCZhWRbHxkWjUV5Mo4Y+mgiTmKeSDRL0rutyVTWVayQSCaTTaaiqyhNjWtBrt9vI5XKceUwT2tfj9ab5vV6Pnwea5IdCIRiGwZFx5E+mcpNQKMT2CZqyt1ot/stBMplEMplEpVLB6uoqOp0O6vU6xsbGOAWEfh/FxC0vL2P79u346Ec/ij//8z+/DO9Q4VIRUSwIW5tX+0BLX3v5/w8j4li4Fth0gQyAhcwPf/hDxONx+L7PBROmaaLT6cBxHG5iq9frvKwWiUTQ6XRQLpfZekB+1ng8ztPXYftGtVplCwUJ8Zdeegn9fh/VahVTU1PIZrMolUpotVp48cUX8aUvfQn5fB6HDh2C67ool8u45557MBgMUK1Wsba2hpMnT2J8fBw333wzgiAAAJ5+T0xM4D/+4z8QCoVw8803Ix6Po9frYWxsjKPVIpEIi3oSwbqu8xTZ931Uq1WOPTNNkye74+PjvKAYi8VgGAYmJyeRz+dZoALrIpU+KFiWBU3T8MILL+Dw4cMX9ZpRlBwRDoe5uW4423mYTqfDk18AKBQKGyq2a7UaAPDrTLFwiUQCY2NjsG0ba2tryGazUFWVX1vKZ6YPPmfPnsVtt92GG264AY888shFPS5BEIRrkdf7a5AgXItsCYFM/NIv/RL/9+OPP84e11QqhVarhbW1NQBALBbjRS1gfXpZKpUAgNvtWq0Wl2mEQiGOKKvX62g0GmzfePzxx3H27FkEQYBEIoHt27fzn+iff/55PPPMMzh27BgikQjGxsZQKBSgaRq2b98OAFhZWYFt26hWqxgdHcXExAQ33FEpCC3nPfTQQ9i/fz9SqRRKpRLGx8c3JEuQqCe/cS6X46W6drsN0zSRyWTYpkDtd+QzplY78mRTTvEwmUyG/5tsEbRkdzEMi2OCot2G/csETbwpjaPT6XAEHn1wIQsJfSjSdR2qqnJZSSgUQq/XYzFM1dvDr28ikeDX42ISWgRBEARBEIgtJZCJp556iqeNQRDwhBhYXxijRa9OpwNgXZhNTU2xL5mWwZrNJk9iKamB/LbLy8t45plnsLCwAFVVMTIygna7Dc/z8PTTT2NtbQ3z8/N45plnEAqFEI/Hcd999yEejyOdTiOfz2NpaQmFQgHbt29HOBzmWLJkMrnB7vDwww/jO9/5DqrVKo4cOQLbtjEyMoLZ2VkkEokNmcHkuaaFM/IiUxnGYDDgTOJYLAbTNHm6TJNZEtvdbheqqqLdbnPj3cuJRCKc/vDy6LZLhV67brfLPmBKGAHAPmnKlCbbCbCeQT0YDDjZIhKJIJlMbqjJXlxcRBAEiMfjsCyLlyiH4/4cx8Fzzz13WR6PIAiCIAjXFltSIJPAIgsBWSFGRkYQiURQr9cBgJfSaIpIU0VaXiuVSgiCANlsFvV6nW8/GAywurqKarUKy7LgOA5KpRIikQhWV1fR6/WwuLiIU6dOwbZt7Ny5E+973/uwf/9+NJtNpFIp/tP/xMQEWq0WarUaEokEJicnoes6Wq0W+4JrtRpbIebn57F//34cOXIE09PTUFUVQRDw4hmlQdByHwlhXdexuroKYH3pkMQmJUr4vo9ut7uhNY8KQl6vjKVSqXBbXTabvaDX58EHH0Q2m8XU1BQOHDgAYL1imnKdAbAFRtd17Ny5k1My+v0+Op0O12AXi0V4nscCmTKbG40GHx99sKGpOWU2K4qC5eVlJBIJ9qGT5/zMmTNs+RAEQRAEQbgYtqRAvvXWW/Htb38bU1NTME0TjUaDfbO0wKXrOhzHwejo6IZ0BKqGHm6YA8BLe1S9TMtwKysrPF3udDpYWFjgxbyxsTEAwF133YXdu3fj5MmT2LZtG08+d+/eDcdxcPLkSW6TI7sHTYVd10U6nYZlWahUKlhcXEQ8Hkc+n4eu6xvi7Ci5gYo0yC9MlcsUaed5HrLZLAt7z/OgaRrXSxuGgUKh8IqkiWG63S6++93vwnVd1Ot1LC4u4vOf//yG2zQaDTiOw0UoiUQCpVIJKysrOHnyJM6fP4+bbroJN954I8fNhUIhjIyM8GJgrVbDmTNn0Ov1kM1mOdOZnhvP81Aul/G9732PkzbOnj2LbreLQ4cOcRSdqqqo1WocgxeNRvH888/jscceQywWQzweRyaT4UbAkydP4oknnrjs701BEARBEN7+bGqT3oXwwAMPIJ1OY3R0lJe3SFSePHmSF+ao3c1xHK5Rnp+f5/pl8gSPjo5CURRORqDYNUVRkMvlMDk5ibW1NTzxxBNwHAd333037rnnHp6uTk5OotfrcRlIoVDAo48+Ct/3MTMzw8kQmUwGi4uLOHnyJL797W/jf/7nfzAxMYG7774bv/Ebv4GTJ0+iWq3ipptuwsGDB3mhsFQqcY6zbdvwPA+ZTAaapqHX66HRaKBer6NYLOLcuXNwXZdtBu12G7fccsuG6LNEIoFer4e1tTUUi0VUKhWOyZufn4fv+9i+fTt+/vOfY2ZmBqOjoxgMBjBNE7Zt49ixY5ifn0cymcTu3buRyWSQSCRQLpdRq9Xw/PPPY21tDe94xzvwoQ99CDt27MDk5CQSiQR/aCHrB70G9P++78OyLHieh1KphGKxiFOnTqFarfLjp2l6PB7nx3L8+HEsLS3huuuuw5EjR2BZFsbGxqBpGhzHwdmzZ3H+/Hl84QtfwMLCwpV+y14WtnqTniAIG9iyTXqCILyCrd+kdyEsLi5ieXkZS0tL7Nf1PA8vvvgiVldXcd111yEcDnNJRrvdhm3bOH78OEzTxN69exGJRHDgwAEWnPSnefI353I5GIbB9cxTU1P4wQ9+gEwmg9XVVTQaDS6n8H2f//xPZRi6riMajXKbn2VZPLnOZrOwLItTNJaWltDv93Hw4EGUSiW+D0rqoGQGSuPo9XrswVUUBel0GpqmYXFxEd1uF/V6nVvpJicn2VphWRby+TzGx8dh2zZ7owuFAprNJk6dOoVms8lLe7lcDh//+McRi8UQiUQwOjoKAFhbW0OpVEKz2UQ4HIau69i9ezfHq3U6HZw6dQoAsGPHDs4+DoIArVYLQRAgGo1iMBig3++j2+2yFYQmyUEQsI1kZmYGrVYLKysrnJFM9hOqndY0DR/4wAfwzne+k2MBc7kc22v27duHer2Oc+fO4YEHHrii71dBEARBEK5+trxA/tznPofPfOYziMfjeOSRR/DCCy9wBu4f//EfY2pqiiPeqCLa933kcjns378f+Xwe/X6fbQ4LCwtYXFxEu93G5OQkisUiWq0WZmdnMTU1hbW1NVQqFbTbbaRSKSwtLWFhYQHxeByFQoGtG67rQtM0XiSkLN/BYADP89BqtfgfarY7e/YsAGB+fh533nknpqenN1RBt1otRKNRmKbJpRz1ep1FMYluy7IQBAEmJydx8uRJlMtlRCIR3HbbbSfwBEcAACAASURBVCgUCgiFQohGo2zzSKVSr8g5/t73vgdVVbFnzx6cOnUKk5OTyOVy6HQ6GxroRkZGMDIy8qqvjaIoME2TfcjAL5IsgPXcZLJ5UM4xfb/b7cJxnA2Lk5SjnE6n+bGTMKaq7Fwuh+uvvx47duxAKBRiX3a1WuWFRKrbvvvuu1GtVvH1r3/90t+AgiAIgiBcc2x5gQwAX/ziF/HRj36UhdL4+DjuvfdeXH/99VhdXUUkEkEul4PneajX6zAMA/v374dhGKhUKkgmk5ibm2OPLqVMtFothEIhLC4uolwuY2xsDKZpsre5Uqkgk8ngiSeewC/90i9xgUk0GkWv1wMAmKaJmZkZnDhxAoqiYGJign22xWIRwPoUvF6vY2RkBPv37+fWvpmZGfi+j3q9zgUgtGRXr9d54ks2BcdxeEFt7969iEaj2LdvH86dO4dSqcQ12kEQIJ/PbxCrL+fee+/Fvffei9OnT+P06dOYnJzE+fPnUSgUEI/HL/m1ospv8kQbhoHBYMBtgVQFHg6H+fWkmu9IJMJLlJOTkzBNk19PmtJ7noeZmRn2gRuGgWg0yraaYrHIGdTHjh3Diy++eMmPRRAEQRCEa5OrQiADwBNPPIFDhw7hQx/6EA4fPoypqSk0Gg1YloVUKsWNcLTUlkwm0Ww2oSgKut0uR72RCKOfIz/z3NwcPM/jquRPfOITeOihh3Dy5El4nscWCVVVsW/fPp7QhkIhjI6OYnFxEZFIBKZpotVqwfM82LaNdruNpaUlqKqKfD6PTCaDfr/P4judTsP3faytrUFRFM4tHv7varUKYH2pLQgC9Ho9FAoFeJ6H8fFxFuSNRgO5XI6nqoqibMg9fjUWFxcxOjqKbdu2IRwOY3Z29oJfE2rsG0ZVVZTLZSSTSY5c6/V6XIYybK2g6TGVilDZCCWA0GSeJs/NZhOLi4ucD01WlF6vx7Fwtm0jEokgEolIkoUgCIIgCJfEVSOQW60WFEXBDTfcgNHRUU54CIfDiMViKJVKKJVKsCyL65UTiQQnVoTDYcTjcS7piMViUBSF/cVktZiamsLIyAgOHz6MXbt24Uc/+hG+8Y1v4LnnnsPu3btx6NAhTr0g6wXlEv//9t48SM77PvN7fn3f93TP9MxgBscAIA6CBMBrRcE8LJbt2KIcqizuSvKqpETlraRieR3FSWqdrJ2kNikplch2dm0mjkWJErXWRUmhDso8Ad7EQQDEycEM5uz7evvufvuXP7q/XzUoHuABDAB+P1UozPT08fbbb88877ef3/NUKhUWZZS6USwWOe4sFotxUgNFybVaLbhcLgQCAdTrdTQaDU60oIkyCW16ziQCaUEitQxSNF4oFGIxSmL1zaLeUqkU0uk0RkZG0Gq1OLXjnaDEDrKT0PSXGgupoY88yhTFR55qqgKnlBGadJNHnKbDSineH6FQiLOlyTdumibq9TrvQ7vdzlYSj8eDQqGAsbExnDp16oM7EAVBEARBuOa5KgTy5s2bEQgEcN111yEej/NH6NS4VigUUCqVoJTiBWHlcpknv5RkUSwWkc1mebFcs9nEysoK2u024vE4vF4vbrnlFmitkclkMDMzgz/+4z+G3+/Ht7/9bezfvx833HADnE4nPB4PDMNApVJBLBZDr9fD/Pw86vU6kskkPB4PLBYL1q9fj49//OPYv38/bzdNS5vNJlKpFLfgUWMc2S7ouiSO6XuqpDZNE4ZhoFwuQ2uNSqXCcWyBQAA+nw/tdhv1ep1FPE1eqUJba833s7q6io0bN77j61EulzlRglr/aJpMtgqa6tLj0RS/1Wohn8/zdJieK53MOJ1OmKbJCw+11vx6An1f8/A+qVQqqFarsNvtSCaTHP9HCzY7nc6lOCQFQRAEQbiGueIF8o4dOxCLxTAzM4OdO3dyUoTWmsUixYJ1u10Ui0X4fD5Uq1VYLBb+2D6VSnERx/r167F//34Ui0VeRDc6OopEIoGpqSmebK6urqLVauHOO++E1hrf/va38cgjj+Dee+/F6OgorFYrKpUKlpeXue749OnTbLsA+jaEsbEx7N27F2fPnsXRo0d5QpxIJNBoNHg67nQ6EQwGYbPZWERSasNwfbNS6oIECFpUSNnONGWlMg2qtaZ6aK/XyxXboVAIPp8PNpsN8/PzuO66696xMIRsG51OB3a7nUV2u92GUorrq51OJ8rlMi/mo8V/lPUcCoXg9Xp5wR5NngFw89/Y2Bjq9TqLcr/fD4/Hw3F3tVqNS1isVivcbjecTid6vR5bYgRBEARBEN4NV6RA/tznPoeVlRWUSiVs3LgR09PTmJqawujoKH9k73A40Gw24fV64XA4EI1GsbKyglarxRNUmpQahoFIJIJQKASlFJLJJMbGxrCwsAC73c4Zu6FQCLlcjss2KC2i1+vhtttug9Yazz77LH7+85/jYx/7GNatW4dgMIhyuQyXy4VEIoGTJ0/ipz/9KcbHx7Fr1y64XC7YbDYu9lhdXcWZM2dgs9lw6623YnR0FDabjS0IVLNMqRhKKYRCIaTTaa6ZJhFJyQ/U2NfpdGCaJpRSqFQq7MWmdj6qk6bJt81m46KQYDAIh8Pxa4JSa43Tp0+j1WphYmLiAvHscrmglIJpmjxJpoprep0oZ5tSODweD2cfN5tNtsi0222+jGLqALCVg5I5gsEgMpkMDMPgFAxK6XA6newVpxOfbdu24fHHH79MR64gCIIgCNcCV5xA/rM/+zPcddddsFgsOHnyJIB+TBllFJP4qtfrCIfD6HQ66Ha7aLfbcLlc7O+lzF5qdovH45wekc1mce+99yISieCpp55CsVjkiefExAQ8Hg9arRaazSYSiQQymQza7TZuueUWtFotPP/88zhy5Ai2b98OAJx8YbVacc899+D8+fOYnZ3FCy+8gBtuuIEnmTQVrdfrePXVV1EoFHDTTTdh/fr1nBxhmiYymQxPQsma4PF4WIySeCaPss1mQyAQ4G0GwNfpdrsIBAJYWVlBr9eDUgoLCwvo9XpcrEKTdq/Xy4KWUEphw4YNKJfLsNls6Ha7sNlsyGQybJ+g18g0TXQ6HU6s6PV6LFopFm9YKFN2NFk0yuUyer0eX6fX66HZbLJdhaw0KysrvPhueOEfXeZ0OnliTZN8QRAEQRCEi+WKEsh//ud/jh07dnACgsPh4IzjWq2GUqkEj8fDE9Fut8sf35umyf5Xik0bngTPzs7ydbTW2LBhA8bGxlhAAuCmuWg0yuIxnU6zn7Zer+P6668HADzzzDO4//77YRgGAPD1x8bGMDY2hpGRETz99NN48cUXsWXLFtjtdkSjUU6aCIVCKJfLeOmll5BOp7Fr1y5MTU3BMAy4XC7281KBCCU50ISbFhfWajU4HA74fD6Ypsl50K1WC+Vymb3OxWIRIyMjWFpaQiaTgc1mg2EYvA/Jx/tmzYrDJSoEVXqTsCWxTKkh1H5XKBTg8XhYkAPgxYY0OSa7CACedJNlhqL4KBKu0Wjw49frdX6uxWIRAHiSTFnSc3NzH+QhKgiCIAjCh4Arpmr6r//6r3HdddchEAigXC6jXC5zM1y5XEY0GkWn00GhUOCqYvoI32q1stWhXC7zVNVut8Pr9aJWq3HDm9/vZ28vlUrQgjPKG15cXGRhRz7ZVqsFm82GUqmEUqmEZDKJ733ve7jvvvvg9/vZ2pHJZC6432q1inw+zz7parWKWq2GmZkZTE9PY2FhAfl8HqFQCM1mE/v27cP09DR7pkdHRzknuFarwTAMjqbrdDosIKmWORwOcxU1xcFRwYjf72dBX6vVUK1WuVTDbrdj+/bt2LNnDwvZYY8xCVES7rT/Kbc5n8+z9QUAT7pDodAFtg0Sz71eD+l0mmPr6ESHqqhpoZ7WmsU7LdSj6XgsFoPNZuOpudfrxfnz5xGLxRCPx/GlL30JLpcL//AP/3CpDttLhlRNC8JVhVRNC8LVw9VTNf3www+jUqmwqAL6IiibzXJbHU0Vy+Uy7HY7lFJYv349Wy6AvgCkxXvdbpfvzzRNtiyQyOv1eiiVSohGo7BYLLBYLEilUggGgywQTdNEKpXC6OgoIpEIi27KUZ6cnMSBAweQTCahlILP52M7x/z8PE+f/X4/6vU6KpUKgP5ElrzEkUiEhahpmjhw4ACUUuyprlaraLVaXN1MOctki6jVaojFYnC5XOj1ejwNpykzeXfJm0w+Y1rUR3XOfr8fU1NTAMC2FRK7lUqFY9zeGBdXqVRQKBS4trrdbsM0TQSDQSilUKvV+LYA0O120Ww20W63+THIKw6AWwiHC0dKpRLHuJG/mPKPaZ8qpfg1o0zodrv9vkpPBEEQBEH4cLLmS/wfffRRLCwsoFqtcqoE0BdSVJARCAR4IZrVauX0ilKpxIJ6bm6Oq5qVUlxLTC1r5FdOpVIol8soFAqc4au1RjweZ9uA2+3m8pFut8uL0YrFIhwOBxKJBCwWC+666y5Eo1HkcjkuHbFYLPD7/Rzb5vF4EIlEMDIywo8xOjrKVhGv14sNGzYgHA7zgr7Dhw8D6Gf5ZjIZnqSSmF2/fj2LVdpOj8eDQCAA0zTZs2yaJvt2abGh1poXJlJcHdAX1MePH8fRo0d5Sm+1Wjkq7Y3imBbm0TTe7/fDZrPxc/X5fDxpJgsFiXKq4KYFeEDfokIxd8M2DRLFHo+HrSmjo6OYnJxEr9dDKBTicpdWq4VwOAwAvIBPEARBEATh3bLmE2RKW/D7/SiXy4jH47DZbOyppfKIkZER2O12ti/EYjGk02meCFP0m81mg9Pp5NKK4ZrmWq3GKQpaa3i9XrTbbayurnIFMk2gadJKC87cbjcAsLWBbAObNm3CiRMnAACxWAzFYpEb7FwuF6xWK6dc2O12JBIJdLtd9uBSekQ6nUapVEI8Hsf58+fx/PPPY3p6GpVKBZVKhSPOyuUy3G43otEo5wNXq1X4/X72SlP2bzAY5IkypX6QCKWWu2q1CofDwScTmzdvRiwW49en2WyyaAXAnmGLxQLDMFi4+/1+nhr3ej0Wt9SMRyil+BMAm80GrTW63S7q9TpH+FG+stPphNvtxvj4OE/al5eXOQqPxD7ZW8ijTELZ4XDggQceuPQHsSAIgiAI1xRrLpBpakq5vZQn7PP5YLfbUalUYLVaEY1GUa1WWVDTR/qUE0wFEZRIQRYLi8XC9zkyMgK/38810GQ7IMsBCWQSmz6fD91uF5lMBlarFYFAAJVKBfV6HaZpIhQKIRaLYWpqCgcPHkQikUAwGITVakUikQDQtyuQ71lrjfHxcbaTBINBFtKU1EBFI+R1ttls7F8mW0WlUsHY2BiUUhdEo5EfmOLepqen2b5BFdCUoVwqldhC4Xa7EYvFsG7dOkQikQvsKZFIBI1GA7VajdsHSSC3221eSGixWNDpdFCv15HNZmGxWLBx40Zordm3TM14vV6PfdTVapVFdqfTQafT4RrwbrcLrTWLXfJlk7CnxYvdbhder5eLYyieT0pCBEEQBEF4L6y5QK7X67BYLIhEIkgmk2yZoEVno6Oj7GUtlUqw2+1wOBzsn/X7/VwUQRXPVBShteaoMRJy2WwW3W4XbrcbDocDvV6PxanVamXhR/XF4+PjXBddLBbZ7kCe2k6ng+npaWQyGa6TdjgcnGEMgFM2otEo4vE4T597vR5yuRxnOcfjcfz85z9Hr9eD2+3G/Pw8pzHQAkGfz8dCtdfrIRgMQmvN6Re02I2muAD4edGJQqVSQSqVQiKRQCKR4Di88+fP4+jRo5iamkIikUCr1eKpLonXWq0GoD+Rpn1P+5oSJpxOJ86dO4dYLMZWC7oPrTW/HrVajevBk8kkT7PD4TD8fj/y+TxarRb7laktL5vNcoYynThQWYnP50M8HsczzzyDhx9++LIey4IgCIIgXBusuUBeXV1FLBbDzp070el0UC6XeXI7bKmgXGOaelJ+Lk2BKaECABqNBn9MD4C9tPQ/2TBo0kitdb1ejyeUJKCVUojFYrywjCwAJHLJhkEtfy6XC4ZhsE2DtomsBTThJmsALRjM5/Oo1Wo4e/YsGo0Gp3Z4vV5Eo1FO5KDFer1eD51OB263m4UkCXHaf+12G6Ojo7zP7HY7VlZWkE6n0ev1sLS0hO3btyOZTCKRSMA0TbZy0ERea83Z0pVKBYZhcOQaCdRKpcJ2CKUUJiYmUCqVkM1mAYBTQHq9Hr8+VPQRiUR46u33+9FoNJBOp7GysoJOp8N2D/oUgdI0KH2DJsZA33ccDAaRy+VEHAuCIAiC8J5Zc4Gcz+d5GlosFjlxglIKqOCCkiW01nC73bDb7Uin01xeQRPMbDaLVquF0dFRNBoNnph6vV44nU7k83meHJumCa/Xi0KhwDYN+liefMYkxkg8UpkFAM4mNk2TxSklM1DVMVk6SHgDfUuDYRhwOBwcg9btdjE/Pw+v1wulFHK5HNxuN8LhMBYXF1EqlbB161Z4vV5eHOfz+fgkgTKRg8Eg77tAIPCm2cOBQADr1q3DysoKXC4XfD4fT6NHR0c5icLtdvNklk4EaNvr9TrHxlGsXqPRYKsFbSedpFQqFS46oeQR0zR5Uk22GqvVikajwdtLr1On0+GMZ0rFoMkxRdGRkH/55Ze5ZEYQBEEQBOHdsuYCeWpqCvl8HsvLy3C73bzIilIUaNLabDahlOIpbbfbBQC0Wi0YhsGFGHRbsleQ+HM6ndBaIxQKAQBXLbvdbgSDQRaZZNHI5/M8GSV/LE2yKVu52+3yY1OjG/liqT6asotpcSAtUKMpMIn0WCyGUqnEU9Rms8k+7HA4jGazyTF0U1NTaLVaPEF1u91YXV1Fr9fDyMgIarUaTNNEJBIBALZGVKtVFtaUOOFwONjj3G63EY/H2Qpht9u5iposHnR/JKCVUggEAvB4PCiXy/B6vXz7YrGIZDLJfmO3231BPfXwVJmsFCMjI7y/ASCdTqNer8Pj8XDms9vt5te20+lAKcW3X1xcxKOPPoqDBw9e7kNZEARBEIRrhDUXyNFoFJVKBefOncMNN9wAm82G1dVVBINBeL1eeL1eFoJUW0yLvMLhME+PyWIRDoc5/YJENE1oKZKMJrAkqgOBAEehDS9cI0FstVp5Emuz2ThFAQALerotTT2HJ9u0bWTLoO0gewKlVITDYezatQtnz55FOBxGpVJBPp/HzMwMt8mROKS2wGazyVXTJNJ9Ph9Pful5U/ZypVLhEwi/34/V1VU4nU62cdD2kTecfNRU+9zr9XihJC3+o31JDYDk415dXcWuXbvQaDQ4rYLaDoG+N5ugbaLc5na7jWKxyG155Den15REPz1HWnh44sQJac8TBEEQBOF9seYCmZIoMpkMDMNAIpFAKpVCqVRCOp1GPB6H3+9HsVjkzFytNXw+H0qlEgtCigrTWuPUqVMIBAKYmpriVrnTp09jy5Yt2LNnDy9KK5fLaDQacLlcKBQKCIVCXIvsdrtRq9VY/JJIJi+zw+FAt9vlHGGaGA/Hy/l8Pk7nIF80xct5vV5ks1kWiZQRHAwGsXv3brYqFAoFGIbBSRMkQsmjGwwGUSqVuLBjamoKmzdvRjAYBACum6Z9Q+KeItG63S4ikcgFSRi9Xo8fhybIQD82rlarYXR0FLVaDZVKBS6XC4lEggWx0+lEOBzG9PQ0SqUSP34kEoHFYuFFkvV6HQsLC3C73ZiYmEC73cZjjz2GhYUF3HTTTdiyZQvC4TDC4TAMw0Amk7lgXzudTjgcDrjdbgQCATgcDqysrKBQKEg5iCAIgiAI74s1Lwq5++670ev1OOe2Wq0iEAjwtJja8wiKEstkMjylzefzvPiu0WjgxIkTmJ2d5Uzi0dFR+P1+PP/883jwwQcxNzfH1gqyPFBjW6VSgdaap8HkCQbAHtxyuYxms8nRcNVqlW9bq9XYOjEcJUeRaGQtME2TnxMJPZfLxb5pEoAOhwPj4+O82K5YLCKVSiEej6NareLQoUMol8sYGxvD3r17MTU1xdtJxSWtVgulUoknubVaDQsLC6jX69i+fTtmZmYwMjLCnmGKUKvX63xCQHYXauhzuVxc0d3tdtFqtThDOpvNol6vIxQKoVAocATbcEW20+lELBbjchNKE2k2m8hkMuj1ehzrR7YWm82Ger3OizIpz5mOB9M0kUwmcf3111/241gQBEEQhGuHNZ8gA+CYMMMwUC6XkUgk2DpAk81AIIBWq4VyuXzBpJY+avd4PGwLuOeeeziPWGuNQCCAWCyGlZUVvPDCCzh37hxPTqncAugvZCMh6PF4OKWBfg7ggpQKui4tUqNFZmQVoCSLVqvF00/yzFJyBpWV0KJAqpYmURiPx+F0OlEsFllE0nMeGRlBOp1m4UqNdVarle0QXq8XxWIRnU4HjUYDbrebq6NpH9H+pLZA4FfJExTvBvTb7iiCjU5oisUiC2QqB6G0kEAggJdffhmjo6Nwu91oNpsYGxvjRZOUnEH+5o9+9KOIxWI4ceIEjh07hk2bNrHVhWw21H7Ybrc5zo8m4VRWsnnz5st5+AqCIAiCcI1xRQjke++9Fw888MAFIqvb7bII7vV6LH4po5gKLciaQP5ZErdUQEEizmKxYHJykievxWIRq6uriEajGBsb4yIQuj0tJKNFbTRdJfFK09LhtAcSzVQy0ul02K5QLBY5wi4ajbLQJxFNixGp7IIqnkdGRthPTR5mym1OJBJcFlIsFjmajgS0w+FAu91GpVKB3W5HqVTifObhHOhCoYBAIACtNQqFAkfqDZeM2O12xONx3qfkCyb/drVa5RMG8mt3u11Eo1EuJSH/MG0bRfFZrVYUi0U4nU5MT0/j7NmzePTRR3HLLbdgZmYG3W4XyWQSDoeDLSUA8NGPfhQAcOLECXQ6HT7BqlQql/sQFgRBEAThGmLNLRbEF7/4RTSbTSwvL3NCxPAiuXa7jWaziW63i16vx9NSmrTm83mezpbLZc4VpqljqVRCPp+H1WqF1+tFOBxGMBhEoVDg6DcSlIZhsCWB/Mgejwc2mw2dToerq1utFqrVKk9Wq9UqpzXQZJM8xFTzTKLe6/ViYmKCH5NENtVuB4NBtNtt5HI51Ov1C0pN1q1bxxXVVPRB0+JAIMAT3Gq1ipWVFRSLRY5gi8VimJyc5Li3UCjE203pFORRdjgc8Pl8HKtGJwSUo0x5ztRGSHXatM+01mx3INtKLpfjRYAA4Pf70Wq1EAqFEIlEEI/HsX37dpimiSeeeAIHDhzA2bNn8frrr2N+fp4fk8QxAGzbtg1KKW4f/JM/+ZPLfwALgiAIgnDNcEVMkAm/34+lpSXkcjmOXvN4PPx1NpvlvFulFCdEDEeVUfwZpSLQwj4SiKVSics+QqHQBUkWDoeDp53UIEf/KEViuEmOPLMkDl0uFxd8rK6usl+aBGa73eYIt3A4jFAoxBnJ5XKZmwLJ++z3+3kaSosAI5EIQqEQTp8+jdHRUVQqFY5vo3QIipFzOp2c2EFRabFYDN1uF7VaDTabjfdRoVDgxx0dHeWMYavVyg13FKW2tLTE8XmUlkFTZ3qOtJ9pAk2xelarlafklHddrVbh8XgQj8eRyWSQSCQwMzOD06dPc8Niq9Vin/GbWShon2cymct0tAqCIAiCcK1yRQnkP/qjP8Lf//3fwzAMjlGj9jRa2EXxaMNtalS4QfYBatkrlUrodrsIh8OwWq28aG5qaoqtCTQZbTabPKGmxjyKFvP7/Tz5pMpkl8vFloJcLseWAVq0V6lU0Ov1UKvVEAgE0Gw2cfbsWfh8PmzatAmhUIjbAqPRKBqNBotTwzD4ewBsvfD7/QgEAqjX6zBNk9M9yBJCNg1awEbPg04ootEout0ulpaWWOySn5isDiMjI5wQQuUhVN8MgOPX8vk8T8qp9plOWgCgWCyylcTtdsNisfDrAoCTJprNJkKhEBfCdDod+Hw+7Ny5E5s2beKEDFpsmc1msby8/GvHztzcHO6///5LfowKgiAIgnDtc0UJZAD4whe+gD/90z9FsViEy+Xi9IJ2uw273Y5AIADDMFAsFjmSjDzBNpuNLQsUs2axWBCPx5HL5Vi4lkolvl+lFFc4NxoNXpjXbrfhcDgumA5TNTTQn0jPzc0hEolwDJxSCplMhhcGmqYJrTUymQympqZw3XXXwel0cgQbTXrdbjc2btzInmcq2xhemAaA859tNhvWrVvHgp4W29GCQprSUlU02S5oCk/CGABPmsPhMCdO0DR6+ASB6PV6GB8fRyAQ4Kg3Er+078kmQhnJNMUG+sI4Go1yuYnFYuGUC2rsI/uH1+vl2L1gMAiPxwOXy4VXX331144bEceCIAiCIHxQXHECGeiLqJWVFbjdbjidTi7BIP8uWQ1IOAJgAUbpDeRNpnIMWkzXbrehtebYNZpu0qSV/LNkj6jX67wAbnghHrXmUQEGFVxQLBp5iBOJBPL5PCwWC8bGxjiTmARtNptFLBbjhj/DMFiQkje52+2iWq3ylJv817QwjmLSqMGPFgbGYjGkUim2iTQaDXQ6HYRCIU4IabVaaDQavLiPkjxIxA/T7Xbh9XpZzJM4pv3p9/vZekILIbvdLlwuF+c0h8NhWCwWBAIBFsN0QuJyueBwODA3N4fV1VWeHmutEYvFYJom4vE4vvrVr17qQ1AQBEEQhA8xV6RAvvnmm/HLX/4Si4uLnLm7c+dOXvhmmibbBig7mRbAaa2RSCTgcDjQaDRQLBZhGAanIADgXGJaiEYLAil/mDy1AFggU+QZpTS4XC4kk0l0u10sLy9f4B8eFppUF00L/8LhMEfaZbNZrqmuVquYmJiAzWaDzWbjGuZAIAAALHyp4CSTybBXutfrcU12p9NBuVzm21FBh8ViQTgc5hOAUqkEi8XC3uZKpQK/38/500opznMehhInaDpOJw1aazQaDYyPj/Pku9VqAehH442NjcEwDNRqHc8tmAAAIABJREFUNczPz8PhcCASifBixWg0CqvVikwmg5dffhmtVgsbN27kCDfaJ263+3IdhoIgCIIgfEi5IgXy7/zO7+DRRx/Fk08+iYMHD8LlcmF8fByhUIgnvaZpshDtdDoIh8NctEHeXqA/UR4ZGeFoMq/XC601C97hj/+HBRgJynA4jEajwekYNC212WyYnJxky4DWmrOOKUGCpqOdTocFK3lsh4tGMpkMCoUC7rjjDsRiMTQaDYRCIY6Cc7vdsFqtnBxBCxPJc0x2CNpuas2j4gzDMPhEotFoIB6Ps22E9h8AnqBTgYppmsjlcvD7/fzcDMPA/Pw8114Pe4mLxSIikQhXXdO2UArHyMgIAoEARkZGUCqVcOrUKczNzWHv3r247bbbsLS0hMcffxwnT57EXXfdxXXjPp8PTqcTCwsLF2RSC4IgCIIgXAoULaq6qCsrdfFX/gD59Kc/jdnZWfzWb/0W9uzZg3q9jl6vh9HRUTSbTbhcLp4wUgwb+XXJQ0wRcBRJppTixYA0kY5GozBNk320lFBBwtTr9bIdwG63w+/3cyGGzWbjtA3y0tZqNY49I3sI0BeZVqsVsVgMY2NjyGazSKVSAPqRZU6nE6lUCsViEZOTkwDAnmvyWlNN83BCBjXoURwdpW6Q3YROGlKpFIt+j8eDSCSCcDgMAOzfJv+wYRgAwIv6crkcjhw5gna7jS1btmDbtm38egDgZAx6nrTPy+UyQqEQ4vE4Go0GACCfz+OrX/0qZmdncdttt2HTpk249dZbsX79eraVKKWwsrICADh48CC+9KUvXY5Dbs3RWr/vM4G1er8KwoeQg1rrve/nDuT9KgiXjYt6v16RE+Q38q1vfQtf/OIX8dxzzyGdTmPnzp0YGRmBx+Ph6S/Fi5EnmHyuTqcTtVoNsViMI8DIauH3+9Fut7nOmny8NPGlBXlerxfVapW9vWTtoCITimIjj67X64XFYuE2vnw+z6KVvMxUVEINfDfeeCOLTK01UqkUpzr0ej1eTEhCOx6Pc6QdLWajFA+aoNvtdsRiMZ7mAv0p8cTEBNdzUzMeWSWondDlcnHMW6VS4edYr9exurrKj0dFLZ1Oh08w6MSArBa0DyknmewUP/rRj3D69Gl85CMfwWc+8xmOdMtms3ySQRP3lZUVnD59+jIdcYIgCIIgfJi5KgQyADzwwAP4+Mc/jieeeALz8/OYmZnB1q1boZTC+Pg4XC4XR8DRhBLoN+sFg0F0Oh2uR6apM+UM00K+SqXCrXm1Wo0FMQDOASY7g2mayOfzPE0mewdZK8gaQP5or9eLRqOBer0Ol8uFDRs2oFKpYG5uDqZpYmRkBC6XC9PT0wDAnut6vc7WD/L90lSWTg6Go+qoiZBsESSMAbBP2W63Y2Jigie8VHFNpSajo6M8lQ8EAtxGSJnLJIjT6TQmJiZYSLfbbZRKJbaFkA+cTlZoP9vtdhw5cgSPPPIIfvu3fxv3338/NxyurKygVCrB7/dzPXWn08H58+e5BlsQBEEQBOFSctUIZAD48Y9/jJtvvhmvvPIKjhw5go0bN+L3fu/3sHXrVvb1drtdrk1uNpvQWiMej6NQKMDv97PtQGvNiRihUAhWqxXZbBYA2NtLQpP8v+Tj9Xg8sNvtKBaLXE3d7XZ5wR/VHdP3tPiNJsB2ux3hcBgej4ezhHO5HObn52Gz2eB2uxGJRDjjuVAo8KJCEv8kzG02G2q1Gi8GrNfriEajvyaOAfDCQ4L8w51OB6+//jqy2SyXiVD2ssVigdVq5dQNWmy4sLCAcrmMnTt3ssWkVqtdkHtM+5Ai9crlMrxeL44cOYIHH3wQ27dvx2c+8xlUKhU0m03OjI7FYiiXy2g0Gti1axcA4Ctf+Qq+853vXOpDTBAEQRAE4eoSyADw0ksv4WMf+xjOnDmDyclJ3HXXXXC5XFxBbbVaUavVOPKsXC7D6XTC5XLxojgSrmQ96PV6HFFWKBT4Y32qlwZ+1cRHopRa5ChzuN1ucy12o9Fgz65SCg6HA/l8nu0PDoeDJ752ux1aa84brtVqyGazyOVyAMCpEJREQR5ph8PBQrTT6bCApinvysoKHA4HnnrqKRiGgd27d2P79u08WabSk2aziZMnT+Lxxx9HMBjEpk2bsLi4yM+7WCxicXERhUKB0zKWlpbw2muvYXZ2Fhs2bMDtt9/O6R90HQBsV6GkDavVioWFBfzkJz9Bq9XCfffdh1gsxvuBJuN0srNlyxZ+3b/85S9f5iNNEARBEIQPK1edQAaAX/7yl7jvvvuwZcsWNJtNlMtl9gO73W40Gg3OCvZ6vexPpspomqza7XY0m01UKhU4nU5OsKDFb9Tg5/F44PP5OEu40WiwlYHsBrToD+h7kUks12o1WCwWzhqmxrrhOmhqzhsfH+cMZ9oWrTU3BVJ0HNkYqIrbarVyZbXH40Eul0M+n8f8/DzOnz+PlZUVHD16FDfddBP27NmDXbt2weVyYW5uDk8//TReeuklnDx5EslkEmfPnoXL5cK2bduQSCRQq9WglEI+n+eM6WAwiNHRUZw9exa/+MUvsG7dOmzYsAFWqxXRaBQAeHEgWVGo6OMXv/gFZmdn8Ru/8RuIRqMwDINPXgCgUqlwWsijjz6KdDqNz3/+85f1+BIEQRAE4cPNVSmQAeD73/8+Nm7ciGazye1vdrsdDocDyWSS6599Ph+Wl5fZe2uz2bhJj1reqMjCYrHA4XDANE1eAEcZxVarFU6nk1v7KEOYMo2ptCQYDPJEdDjRYTimTWvNXlyqaHY6ndyaRyUeVI9NOc1aaxbO+XyeF7JRzfRw69z4+DgSiQR2796N5eVlzM3NAQDOnTuHUqmEer2OJ598Ej/96U/Rbrfh8Xhw7NgxAMDIyAi8Xi9mZmYwMzODZDKJ5eVlVKtVrF+/HslkEo1GA7lcDouLi0ilUpiamkKlUkEwGEQ4HOYSkna7zfvjzJkzmJ+fx/XXX4+dO3fCZrPBMAxe0BcKhdDpdLCwsADDMDA3N4elpaU1OLoEQRAEQfgwc9UKZADIZrPIZrOIRqMol8vs7yWxFY1GMT8/j9deew379u1Du91Gp9NBqVRCt9tFOBxGKBRCq9XiiXAwGLygeKNWq6HVavGivcnJSXg8HjSbTV7k1u12AYBvRykZNLWmUo9erwePxwOtNXq9HsLhMG+TzWaD1WpFvV6H0+lkawJNxFOpFFs8gP6UmjzXAFh422w2xGIxAOAEi02bNmFsbAxzc3NYWVnBgQMHsH//fszNzbG1gbKQe70e8vk8lpaWkMlkcO7cOXg8HhSLRYRCIUxOTnLBis1mQ6PRwOHDh2GaJrZs2QKXy4VSqQS3280C2efzYXZ2Ft/97ncxNTWFvXv3wufzwTRNFAoFxONxtNtttFotLC8v4/Dhw5ifn4dhGHjwwQcv92ElCIIgCMKHnKtaILfbbTz88MO4+eabsXfvXgSDQZ70OhwOnD9/Hi+++CJGRkbYh9xoNNiHS01wVGRBkW0+nw9+v58XpdHCNbJuNJtNbprzer0AwF5jKhGhy2hKTUKRpsq0UJBuRxNimkiTP7hcLrMw1lrD6XRytjLVQ5umiWq1CofDAa/Xi1QqBavVyuka0WgU4XAYr732GsrlMlZXVwEAk5OTCAQCqNVq3K5Xq9XYO91oNLC4uAilFGq1Gnbs2MEFJKFQiG0fS0tLKBQKCAQCCAQC6PV6yGazMAwDTqcTlUoFjz/+OJaWlnDrrbdCa41CoQDgVz7ln/3sZzh06BAymQxWV1cv2E5BEARBEITLyVUtkL/1rW/hN3/zN/Hzn/8coVAI27dvRyaT4ZrjpaUlmKaJ7du3o16vc+5xr9fjCWYmk0Gj0WDfcafTQSaTQSgUYv8vTYWpGY/8zU6nE4FAAJVKha0aLpeLo9BIzPp8PjgcDhbQZIuoVCpsb6DpL8WjtVotzkLesGEDT7Opipq81fV6nRcGUsJEo9GAx+NBIBBAMBhEvV5HpVLBxMQE1ztv27aNJ7hk1Th//jyOHj3KPmiaxpumiZ07d7ItIhKJIJVK8UmF1+tFNpvFK6+8gvXr1yMej3MWcrvdxpNPPolnn30W119/PdrtNqrVKjcLejwepFIpHDp0CPv37+e4uHQ6vZaHliAIgiAIH2Kuiia9i+WTn/wkN9Q5HA5s2LABW7duhd/vRzAYRLFYZDtDuVyGz+fD+Pg42yAokQIAJ2HQAjUS1RT3Rv7kVqsFrTUCgQAnXVASQ6vV4gV9JAgBwDRNbsajSS8ttIvH41ywEQwGAfT9xm63G6Ojo9Bao1Qq8eOZpsnJGL1eD81mE+l0msVpOp3G2NgYnE7nBeK8VqvB6/UiEolw09/y8jKOHz+OH/zgB1haWoLNZsONN96I7du3Y8uWLfD7/bDb7ex/fuKJJ3D8+HFs3LgR3W4Xv/u7v4ubbroJr7zyCvL5POx2O/bv349MJoM777wT69atw9jYGMfqkS9ba43vf//72L9/P3w+H5555pk1OX6uJKRJTxCuKqRJTxCuHq6dJr2L5Xvf+x4A4A/+4A84t5dEptfrRTgc5sQIACiVSuj1eohGo5xRbJomrFYrAPDUlibGZHGg20YiEbYQUMIDiV5KzHA4HJzQAICnyORrpsehiTYAFundbpetCHa7Hd1ul8VzvV6H1+vlDGW73c5FIna7HaurqzwVp/xk8ls3Gg22bHg8Hp5it1otTE5OYvPmzYhGo9i+fTumpqYQCoXYm621Zp/x8AK9sbEx3HzzzVyIMj8/j0wmg5MnT+KWW27B+Pg4/H4/IpEINx2S/UQphUQigdtvvx1/9Vd/dUmPEUEQBEEQhHfimhLIxD/+4z8CAD7ykY9gZWUFW7duxZ49ezA+Po5oNIpKpYJarQbTNJFKpWCaJoLBIPuTAbAVgzy469ev55a9VquFXq+HYrEIv98PpfrDPvqfFulRHjCJYsozJoHq8/l4qmuaJic/eDwerpimBYfUKgeAhSUA9lyTQKeCklgsxn5nmtSSPYQi5zqdDlZXV/k+YrEYT7ILhQKSySTXZdMnDZT+0Ww20Ww2EQgEkM/nsW/fPuzevRtHjx5FJpNBtVrleDeHw4FSqQSr1YpUKsURelShTSckdGIgCIIgCIKwllyTApl49tlnsW7dOszOzsLpdCKTyWDTpk1Yt24dkskk8vk8zpw5AwCc/NDpdLjaeXV1FWfOnMG2bdu46pni5MLhMLrdLmw2G1sP6HYAkMvl2HJBJSRkz6B84EqlwiKYvMWGYfB1vV4vt9nRFLvZbMJisSCbzSIYDHKDXrVahWEYvKjP4/HA6/Vy0gXVVjudTrZVkFXE5XJxikUymUQoFMLS0hLH2VHsXSAQQDQahdYamUwGy8vLLGr37u1/WnHgwAGcOnUK8Xgck5OTaDabcDqd7JWu1WoYHx9n/zP9/MyZM/j6179+OQ8PQRAEQRCEN+WaFsgAsLCwgIWFBdx8882oVqucrrB7925EIhEsLS2hVCqxcKXMXrvdjkKhgEQigW3btnEuMTXYFQoFuN1ueL1etnNQVFupVEI6nWbx3G63EQgEOJLNYrGwdcPtdvPlJGiLxSKi0SgvDlRKceOfy+WC1WrF/Pw8TNNEvV5HvV6HYRhYXl5Gu91m4UyxcxRjR5NkEtA+n48ft9froVwuwzRN+Hw+BAIBtFot3ja3241AIMAe7pMnT6JUKsHpdOL222/H2NgYjh07hnQ6jR/+8Ie/9jp88Ytf5Cky1UrTfjIMA//0T/90mY4IQRAEQRCEt+eaF8iExWLhlIdqtQqbzYatW7dibGwMp06dwrPPPosNGzZgenoaTqcTi4uLqNfr2LZtGzweD0evaa3R7XZRq9Xg8/lgGAZPgGnaGgqFWLR2u12EQiG4XC40m000Gg1u6KO2PbI/2O12tjBQfTVdRv5mmlQ3Gg3U63XY7XYuAanX64hGo5ienubCEioZoXY/rTXflhbvaa15kkuTaKqzpn0H9Kfr3W4Xs7OzKJfLSCQSOH/+PB566CE89NBDb7v/H3jggUv7AguCIAiCIHxAfGgE8t/+7d/iD//wD2GaJrLZLM6cOYNut4vp6WmOaqvX6yxm6/U61q9fj0QigWazCZfLxeKSWvScTidHqlFucK/XQzweRzQavWABH4lUuo5pmlw+4nK5eLJLGcpUtmG329HpdFhYOxwOrn8GgGKxCIvFgng8DqDvdx4ZGYHP50Mmk2G/MAAYhgGv14tarYZUKoVcLodAIIBEIsETa2oOpPt3u91cXEIT4x/96EcIhUI4f/78GrySgiAIgiAIl5YPjUAGgG984xv89ZYtW3Du3Dls3LgRe/fuxeTkJCqVCqrVKkqlElqtFpLJJPt3/X4/bDYb+5BJOFLFc6lUgmmasNlsLHyDwSCnVVDZB6VR2Gw29Ho9AOBqZr/fj1qthkKhAKUUpqenEQqFYBgG+5WpJCSZTPIiN7fbjZmZGVgsFqTTabZjeL1enDt3DqurqwiHw+h0OuxrrtfrWF1dxdzcHNavX49YLIZUKoV4PI5wOMzxdTabDZ1OB81mEx6PB8vLy9xOKAiCIAiCcC3yoRLIw5w+fRoAcOrUKQD9rOF169YhlUrB5XJBKcVitNvtsngEwH7kQCDAjW+GYSAajcJms7E9YXiRG4lb8vhSyUar1eJFfqFQiKfS2Wz2goV5rVYLnU6Hs5z9fj9cLhfi8TgMw+BJs9fr5ZpsEvDkI6bHDYfD8Pl8nHW8vLyMJ554ArfddhsvyKNIu1arxZPjcrmMn/3sZyKOBUEQBEG4pvnQCmTinnvuwWOPPcZtc41GAzt27MDGjRtht9tZ4FJEGpV+kHXh1KlTaDQaiMViCAQC0FqjXC6zGKZFey6XC4FAAPV6HR6PB71ej+0UlJuslILH48Hk5CRarRZyuRw8Hg9cLheSySQMw0A6nUYqlUIymUQsFoPb7eY4t3a7DZfLBcMweLq8efNmjlKz2+3IZDIIBAIIhUL8vFKpFBYXF3HjjTfCYrFwZTU914mJCZw9exbf+c53sH///jV+xQRBEARBEC4tH3qB/NhjjwHop10EAgHMz8+j2WzCMAz4/X6Mjo4CAEKhEFssqPzjzJkzmJubw5YtWxAMBjkqjdrqSFB7PB5EIhHO+6UGPrJd1Ot1dDoddDodmKaJSCSCRCKBY8eOYWlpCXv27IHf74fH4+Fc4kKhwKUlJKxpoR8lV3Q6HfZDZzIZOJ1OnlwHg0FO3/B6vXA6nZidnUUymUQgEMDIyAhnHy8uLuLhhx/GM888g8XFxcv9EgmCIAiCIFxWrqmq6Q+Cu+++m60H69evxy233IKpqSn4/X5MTEywV1gphYMHD2LHjh1skQDA1dKFQgGNRoMj4Uhoh8NhzkimUhLDMDglIxqNwm63IxgMIp1O46mnnkIoFMK6desQDAbZpxwMBlGtVrmUAwAikQhbIqLRKCKRCFslDMOA1hp+vx9WqxX1eh2RSIQn1I1GA8ePH8fp06fx8ssv4/jx41haWuLYOyomES4PUjUtCFcVUjUtCFcPH76q6Q+Cxx9/HACwY8cOLC0tQSmFSqWCZDKJcDiMaDQKAEin03C73XA4HFhZWUEgEOCCD4fDwUUdhmHA4/HAYrEgEAiwRzkWi8Hr9aJarfLXlUoFFosF9XodPp8PU1NT2LlzJ4rFInK5HOcad7tdjI2NAeinVmQyGbz++us4c+YMkskkN/RVKhWEQiG0220opbjkBMAF026KnCuVSryojyLjzp8/zx5mQRAEQRCEDwOWtd6AK5Xjx4/juuuuw8rKCp577jkcOXKEs5FnZ2dx+vRpTo2gjOJutwuLxYJqtcqilOh0OlyvXCwW4XA4eBJNkXFkgQCAWq2Ger2OqakpbNq0iRcA5nI5bsyjxX+jo6PYvXs3fD4fXn/9dV5URyUlANirDPRFdSKR4O0ql8uYnZ3FgQMHcPDgQXQ6HXg8HolxEwRBEAThQ4lMkN+Ghx9+GABw55134sUXX0SlUsG+ffvg9Xo5paLb7bJ9QimFbreLer3OXt94PI7l5WUopZDL5eDz+WCz2XD48GFs376dfcoWiwWVSgXtdhutVgvNZhOlUgmRSAQTExPw+/0oFArodDpot9soFouYmJiA3W6HzWaDUgozMzMoFouo1WpoNBrc3keRdKZpIpPJ8PZXKhW43W7kcjkcO3YMp06dQqlUwuuvv76Wu10QBEEQBGFNEYF8ETz55JP47Gc/i5MnT+LRRx9FMplEJBLBzMwMwuEwT44pas1qtXJSBbXfWSwWbs2bnJzEc889h1wuh1AoBKvVyrex2WxwOBzodDpQSiGdTqPT6SAWi8EwDEQiERQKBaRSKVgsFiSTSSil2Jc8Pj7OxSOGYWBkZASmaSKVSqHb7WJubg6lUgl+vx/hcBiGYeDEiRM4duwYDhw4sNa7WhAEQRAEYc0RgXyRfPOb3wQA/P7v/z4OHjwIwzCwbt063H777di1axdmZmY4Ho0KNgDwhLlWq7EQDoVCmJqaQrlcZn+y0+lEMBjkiTClXBQKBZimCaBvk2i323C73VBKoV6vY2FhAe12G6VSCc1mk0tKer0eOp0OV1bn83k4nU7UajWcPHkSNpuNBfMLL7ywZvtVEARBEAThSkNSLN4jn/jEJ3Do0CF0Oh3s27cPd9xxB7Zs2YKtW7fC5XKhVqvBZrPB5XKhUCigXq/D6XRCa80L5g4fPozJyUnE43G0Wi1u6aPmPpokWywWjlxrtVrclgcAmUwGmUwGuVwO7XYbTqeT/coOhwMbNmyA3+9HLpfD/Pw89u/fj4MHD6JarWJlZWUtd6HwNkiKhSBcVUiKhSBcPUiKxaXkkUceAQDs27cPx48fx6uvvorp6Wls2rQJIyMjiEQiiEQimJ6exszMDC/Sazab0FojGAzi0KFDKJVK+PznP496vY5cLsdNeC6Xiyupybphs9lgtVoRDAZhs9lYBDudToRCIZRKJeRyOfYbm6aJEydOcDrFuXPn8PTTT6/xnhMEQRAEQbiyEYH8PnnmmWcAAJ/97GeRSqXw1FNPscXC5XJhw4YN+NrXvoYNGzagWq2i0+lw2sTzzz+PI0eOYGZmBnfeeScnX7TbbbZKhEIh+P1+aK1hGAZqtRq63S7S6TS63S5arRbK5TIymQxOnTqF1157DcFgEEopeL1erK6u4tChQ2u8lwRBEARBEK4exGJxifj0pz+N1157DdVqFYlEAnfffTdnJRuGgZMnT+Lw4cPc1nf77bdz9JrNZuOMZJfLBQDI5XJYWFhALpfD+fPnsbi4iEAgAKfTiVarhVQqhXPnzgEApqenMT8/v1ZPXfgAEIuFIFxViMVCEK4eLur9KgJZEK5ARCALwlWFCGRBuHq4qPerFIUIgiAIgiAIwhAikAVBEARBEARhCBHIgiAIgiAIgjCECGRBEARBEARBGEIEsiAIgiAIgiAMIQJZEARBEARBEIYQgSwIgiAIgiAIQ4hAFgRBEARBEIQhRCALgiAIgiAIwhAikAVBEARBEARhCBHIgiAIgiAIgjCECGRBEARBEARBGEIEsiAIgiAIgiAMIQJZEARBEARBEIYQgSwIgiAIgiAIQ4hAFgRBEARBEIQhRCALgiAIgiAIwhAikAVBEARBEARhCBHIgiAIgiAIgjCECGRBEARBEARBGEIEsiAIgiAIgiAMIQJZEARBEARBEIYQgSwIgiAIgiAIQ4hAFgRBEARBEIQhRCALgiAIgiAIwhAikAVBEARBEARhCBHIgiAIgiAIgjCECGRBEARBEARBGEIEsiAIgiAIgiAMIQJZEARBEARBEIYQgSwIgiAIgiAIQ4hAFgRBEARBEIQhRCALgiAIgiAIwhAikAVBEARBEARhCBHIgiAIgiAIgjCECGRBEARBEARBGEIEsiAIgiAIgiAMIQJZEARBEARBEIYQgSwIgiAIgiAIQ4hAFgRBEARBEIQhRCALgiAIgiAIwhAikAVBEARBEARhCBHIgiAIgiAIgjCECGRBEARBEARBGEIEsiAIgiAIgiAMIQJZEARBEARBEIawvcvr5wCcvxQbIggCM/UB3Y+8XwXh8vBBvGfl/SoIl4eLer8qrfWl3hBBEARBEARBuGoQi4UgCIIgCIIgDCECWRAEQRAEQRCGEIF8GVFKVS/BfU4rpf7F2/zs+Af9mIJwraKUSiilvq2UOqeUOqiUel4p9ftrsB3zSqnYGy57USl1RCm1oJTKDr4+opSafhf3e5dS6tah7x9SSn3ig9tyQbh8KKW0UuqbQ9/bBu+N/+9d3s+vvd8u9jpKqaBS6htKqdnBv28opYIX8ZhfUkp53s12vuH2Nyilfue93l54Z0QgX/1MA3hTgSwIwsWjlFIAHgHwjNZ6g9Z6D4D7AUy8yXXf7QLn943W+hat9Q0A/gcA/1FrfcPg3/wbts36NndzF4Bb3+bngnA1UQOwQynlHnz/MQDLl3kb/h7AOa31Rq31RgBzAP6fi7jdlwC8Z4EM4AYAIpAvISKQ1wCl1B1KqaeUUt9TSp1SSn1r8MeZzlL/N6XUS4N/mwaXf10p9cmh+6Bp9P8K4KODSdKfvM1jfk4p9YhS6idKqTml1H+plPrXSqnDSqkXlFKRwfX+c6XUy0qpV5VS36czXKXUxsH1XlZK/eXwNFwp9eXB5UeVUn/xwe8xQbgs3AWgrbX+W7pAa31ea/3XAL+HvquU+gmAx1SfryiljiuljimlPjW43h3DEyyl1N8opT43+HpeKfUXSqlDg9tsHVweVUo9Nng//h0AdbEbPZialZRS/7NS6iUANyullpRSocHPb1VK/ZNSaiOA/wzAlwe/L/7Z4C7uVEo9N5iaX/ZpuSC8T34G4D8ZfP3PATxMP1BKRQZ/944O/n5dP7j8Ld9vSqnPDP72HlFK/d3bnXAO/j7vAfA/DV38lwBmKZsFAAAFe0lEQVT2Dv5mvunvAqXUfwUgCeBJpdSTg59VlVL/++B3w+NKqZHB5U8ppfYOvo4Nfoc4Bo/zqcF2fuq97z7hrRCBvHbciP4Z5DYAGwB8ZOhnFa31zQD+BsD/+Q73898C2D+YJP0f73DdHehPm28G8L8AqGutbwTwPIA/HFznB1rrm7TWuwCcBPCFweVfA/A1rfVNAFboDpVS9wCYGdznDQD2KKX2vcN2CMKVyHYAh97hOrcB+Jda67sA/KfoH/O7APwmgK8opcYu4nFyWuvdAP4DgP96cNn/CODA4P34YwDr3uW2BwEc0lrfrLV+/s2uoLWeRX+y9ZXB74vnBj+Ko//75xMA/t27fFxBWGu+A+B+pZQLwPUAXhz62V8AOKy1vh7Afw/gG4PL3/T9ppS6DsCnAHxk8GmNCeDTb/PY2wAc0VqbdMHg6yPo/z55U7TWf4X+39E7tdZ3Di72ov8e3g3g6cE2vtXt27jwk6T/+DbbKLxHRCCvHS9prZe01j3030zTQz97eOj/2z7Ax3xSa21orbMAygB+Mrj82NDj71BK7VdKHUP/FwO9yW8D8N3B198eus97Bv8Ooy8utqIvmAXhqkYp9X8NPkl5eejiX2qtC4OvbwfwsNba1Fqn0f+jdtNF3PUPBv8fxK/ed/sAPAQAWutHARTf5ea2AfzwXd6GeET3OQpg/D3ehyCsCYPjdhr96fFP3/Dj2wF8c3C9JwBEVd8f/Fbvt7vRnwi/rJQ6Mvh+w9s8vALwZlm5b3X529EDQEL3ocG2C2vIZffRCUxr6GsTF74W+k2+7mJwQjOwYzje52P2hr7vDT3+1wF8Qmv96uBj4Tve4T4VgH+ntf6797A9gnAl8RqA++gbrfV/ofqLcl4Zuk5t6Ou3skHwe3WA6w0/p/fd273v3y0NfWGo/fA2vPHx38jw74WLtnYIwhXEjwF8Ff2/V9Ghy9/seNZv+H8YBeBBrfV/d5GP+xqAG5VSlsGwC0opC/qfKp0EMIq3/13wdvza3/53eXvhfSIT5CuTTw39Tx+XzqN/ZgsA9wKwD742APg/wMf2A1hVStlx4UdLL+BX4uH+oct/AeDzSikfACilxpVS8Q9wewThcvEEAJdS6l8NXfZ2i2ieQd8DaB34BfcBeAn9NrRtSinnYFp190U89jMYvN+UUr8NIPxensAQ8/jV74v7hi7/oH9fCMKVwP8L4C+11sfecPnw++oO9O1NFbz1++1xAJ+kv2EDD/Nbtq5prV9H/9PTfzN08b9B3yrxOt7+d8Eb34sWALTO6F8AODD4eh6/ei9/cuj68l6+xIhAvjJxKqVeBPDHAGjh3f8N4DcGi3Buwa8mWUcBdAcfBb/lIr13wZ+j7+H6JYBTQ5d/CcC/Hjz+GPoWDWitH0PfcvH8wJbxPcibVrgKGUxgP4H++2xucKw/CODP3uImP0T//fcq+uL6v9Fap7TWiwD+cfCzb6H/B/Sd+AsA+5RSh9C3LC28rycD/FsA/14ptR99+wXxIwB/MFic9M/e9JaCcJUxsCt+7U1+9G/RXzB3FP0F7f9ycPmbvt+01ifQF7iPDW7zS/T/3r0dXwCwWSn1ulJqFsDmwWV4h98FDwD4GS3SQ/9v+nal1EH0Fwz/5eDyrwL4V0qp5wAMx8w9ib74lkV6lwipmr7CUErNA9irtc6t9bYMo/ppFg2ttVZK3Q/gn2ut713r7RIEQRCEqx2lVFVr7Vvr7RB+hXiQhYtlD4C/GfifSwA+v8bbIwiCIAiCcEmQCbIgCIIgCIIgDCEeZEEQBEEQBEEYQgSyIAiCIAiCIAwhAlkQBEEQBEEQhhCBLAiCIAiCIAhDiEAWBEEQBEEQhCFEIAuCIAiCIAjCEP8/B8bxK18PBWAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.0830501988530159\n",
      "Accurary: 0.9951909780502319\n",
      "Dice coefficient: [0.91205895, 0.90535426, 0.9492754]\n",
      "Sensitivity: [0.8591269855245338, 0.8523421603631145, 0.982008995637114]\n",
      "Specificity: [0.9995582414476325, 0.9994701331732894, 0.9979383641989944]\n",
      "Gradient min:-0.019220490008592606, max:0.010546916164457798\n",
      "Compute time per epochs: 0.59 mins\n",
      "\n",
      "Epochs 28\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.1763043850660324\n",
      "Accurary: 1.0\n",
      "Dice coefficient: [1.0, 1.0, 1.0]\n",
      "Sensitivity: [1.0, 1.0, 1.0]\n",
      "Specificity: [1.0, 1.0, 1.0]\n",
      "Gradient min:-0.06046105548739433, max:0.055876441299915314\n",
      "Compute time per epochs: 0.58 mins\n",
      "\n",
      "Epochs 29\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.15553414821624756\n",
      "Accurary: 1.0\n",
      "Dice coefficient: [1.0, 1.0, 1.0]\n",
      "Sensitivity: [1.0, 1.0, 1.0]\n",
      "Specificity: [1.0, 1.0, 1.0]\n",
      "Gradient min:-0.03613704442977905, max:0.056776415556669235\n",
      "Compute time per epochs: 0.59 mins\n",
      "\n",
      "Epochs 30\n",
      "\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Steps: 2000, Loss:0.22277972102165222\n",
      "Accurary: 1.0\n",
      "Dice coefficient: [1.0, 1.0, 1.0]\n",
      "Sensitivity: [1.0, 1.0, 1.0]\n",
      "Specificity: [1.0, 1.0, 1.0]\n",
      "Gradient min:-0.10979820787906647, max:0.07970666885375977\n",
      "\n",
      "-----------<Summary for Epoch:30>------------\n",
      "Mean Accuracy: 0.9961896538734436\n",
      "Mean Dice coefficient: [0.91614015 0.92467914 0.87700023]\n",
      "Mean Sensitivity: [0.92837932 0.9431011  0.89111549]\n",
      "Mean Specificity: [0.99959841 0.99970709 0.99921022]\n",
      "------------------------------------------------\n",
      "\n",
      "Compute time per epochs: 2.01 mins\n"
     ]
    }
   ],
   "source": [
    "epochs = 1\n",
    "#list\n",
    "loss_list = []\n",
    "acc_list = []\n",
    "loss_inner = []\n",
    "while epochs <= max_epochs:\n",
    "    start = time.time()\n",
    "    print()\n",
    "    print(\"Epochs {:2d}\".format(epochs))\n",
    "    steps = 1\n",
    "    dc_app = []\n",
    "    sens_app = []\n",
    "    spec_app = []\n",
    "    ds = os.listdir(tfrecords_read_dir)\n",
    "    #shuffle directory list of tfrecords\n",
    "    shuffle = random.shuffle(ds)\n",
    "    for tf_re in ds:\n",
    "        tf_dir = os.path.join(tfrecords_read_dir+tf_re)\n",
    "        dataset = utils.parse_tfrecord(tf_dir).shuffle(SHUFFLE_BUFFER).batch(BATCH_SIZE)\n",
    "        acc_inner = []\n",
    "        for imgs in dataset:\n",
    "            #data augmentation\n",
    "            imgs = data_aug(imgs)\n",
    "            image = imgs[:,:,:,:4]\n",
    "            #unprocessed label for plotting \n",
    "            label = imgs[:,:,:,-1]\n",
    "            #for simplicity label 4 will be converted to 3 for sparse encoding\n",
    "            label = tf.where(label==4,3,label)\n",
    "            label = tf.keras.utils.to_categorical(label, num_classes=4)\n",
    "            img_seg, loss, gradients = train_fn(image, label) #training function \n",
    "            #map from sparse to label\n",
    "            img_seg = tf.math.argmax(img_seg,-1,output_type=tf.int32) \n",
    "            label = tf.math.argmax(label,-1,output_type=tf.int32)\n",
    "            #accuracy of the output values for that batch\n",
    "            acc = tf.reduce_mean(tf.cast(tf.equal(img_seg,label), tf.float32))\n",
    "            #append accuracy for every steps\n",
    "            acc_inner.append(acc)\n",
    "            if epochs%5==0:\n",
    "                dc_list, sens_list, spec_list =compute_metric(label,img_seg)\n",
    "                dc_app.append(dc_list)\n",
    "                sens_app.append(sens_list)\n",
    "                spec_app.append(spec_list)\n",
    "            #output\n",
    "            if steps%2000==0:\n",
    "                input_img = [image[0,:,:,0], plot_labels_color(label[0]), plot_labels_color(img_seg[0])]\n",
    "                caption = ['Input Image', 'Ground Truth', 'Model Output']\n",
    "                plot_comparison(input_img, caption, n_col = 3, figsize=(10,10))\n",
    "                loss_list.append(loss)\n",
    "                acc_stp = tf.reduce_mean(tf.cast(tf.equal(img_seg[0],label[0]), tf.float32))\n",
    "                dc_list_stp, sens_list_stp, spec_list_stp =compute_metric(label[0],img_seg[0])\n",
    "                print(\"Steps: {}, Loss:{}\".format(steps, loss))\n",
    "                print(\"Accurary: {}\".format(acc_stp))\n",
    "                print(\"Dice coefficient: {}\".format(dc_list_stp))\n",
    "                print(\"Sensitivity: {}\".format(sens_list_stp))\n",
    "                print(\"Specificity: {}\".format(spec_list_stp))\n",
    "                print(\"Gradient min:{}, max:{}\".format(np.min(gradients[0]), np.max(gradients[0])))\n",
    "            steps+=1\n",
    "        acc_list.append(np.mean(acc_inner))\n",
    "    if epochs%5==0:\n",
    "        mean_dc = np.mean(np.array(dc_app),0)\n",
    "        mean_sens = np.mean(np.array(sens_app),0)\n",
    "        mean_spec = np.mean(np.array(spec_app),0)\n",
    "        print()\n",
    "        print('-----------<Summary for Epoch:{}>------------'.format(epochs))\n",
    "        print(\"Mean Accuracy: {}\".format(np.mean(acc_list)))\n",
    "        #'core','enhancing','complete'\n",
    "        print(\"Mean Dice coefficient: {}\".format(mean_dc))\n",
    "        print(\"Mean Sensitivity: {}\".format(mean_sens))\n",
    "        print(\"Mean Specificity: {}\".format(mean_spec))\n",
    "        print('------------------------------------------------')\n",
    "        print()\n",
    "    elapsed_time =(time.time()-start)/60 #unit in mins\n",
    "    print(\"Compute time per epochs: {:.2f} mins\".format(elapsed_time))\n",
    "    epochs+=1 "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Save Weights"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "model.save_weights('/home/kevinteng/Desktop/model_weights/model_{}.h5'.format(ver))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Validation "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "model.load_weights('/home/kevinteng/Desktop/model_weights/model_{}.h5'.format(ver))\n",
    "def val_fn(image):\n",
    "    model.trainable = False\n",
    "    model_output = model(image)\n",
    "    return model_output"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "ds = '/home/kevinteng/Desktop/ssd02/BraTS2020_preprocessed03/'\n",
    "save_path = '/home/kevinteng/Desktop/ssd02/submission/'\n",
    "actual_label = '/home/kevinteng/Desktop/ssd02/MICCAI_BraTS2020_TrainingData/BraTS20_Training_001/BraTS20_Training_001_seg.nii.gz'\n",
    "#all brain affine are the same just pick one \n",
    "brain_affine = nib.load(actual_label).affine\n",
    "steps = 1\n",
    "acc_list = []\n",
    "for train_or_val in sorted(os.listdir(ds)):\n",
    "    save_dir = save_path + train_or_val+'_'+ver\n",
    "    if not os.path.exists(save_dir):\n",
    "        os.makedirs(save_dir)\n",
    "    merge01 = os.path.join(ds+train_or_val)\n",
    "    for patient in sorted(os.listdir(merge01)):\n",
    "        patient_id = patient.split('.')[0]\n",
    "        merge02 = os.path.join(merge01,patient)\n",
    "        imgs = np.load(merge02)\n",
    "        image = imgs[:,:,:,:4]\n",
    "        seg_output = 0 #flush RAM\n",
    "        seg_output = np.zeros((240,240,155))\n",
    "        for i in range(image.shape[0]):\n",
    "            inp = tf.expand_dims(image[i],0)\n",
    "            img_seg = val_fn(inp) #validation function \n",
    "            #map from sparse to label\n",
    "            seg_output[:,:,i] = np.argmax(img_seg,-1) \n",
    "        #convert label from 4 to 3 and np array and cast as int\n",
    "        seg_output= np.where(seg_output==3,4,seg_output).astype(np.uint8)\n",
    "        prediction_ni = nib.Nifti1Image(seg_output, brain_affine)\n",
    "        prediction_ni.to_filename(save_dir+'/{}.nii.gz'.format(patient_id))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Model Summary"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Model: \"model\"\n",
      "__________________________________________________________________________________________________\n",
      "Layer (type)                    Output Shape         Param #     Connected to                     \n",
      "==================================================================================================\n",
      "input_1 (InputLayer)            [(None, 240, 240, 4) 0                                            \n",
      "__________________________________________________________________________________________________\n",
      "gaussian_noise (GaussianNoise)  (None, 240, 240, 4)  0           input_1[0][0]                    \n",
      "__________________________________________________________________________________________________\n",
      "conv2d (Conv2D)                 (None, 240, 240, 64) 2368        gaussian_noise[0][0]             \n",
      "__________________________________________________________________________________________________\n",
      "activation (Activation)         (None, 240, 240, 64) 0           conv2d[0][0]                     \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_1 (Conv2D)               (None, 240, 240, 64) 36928       activation[0][0]                 \n",
      "__________________________________________________________________________________________________\n",
      "activation_1 (Activation)       (None, 240, 240, 64) 0           conv2d_1[0][0]                   \n",
      "__________________________________________________________________________________________________\n",
      "max_pooling2d (MaxPooling2D)    (None, 120, 120, 64) 0           activation_1[0][0]               \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_2 (Conv2D)               (None, 120, 120, 128 73856       max_pooling2d[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "activation_2 (Activation)       (None, 120, 120, 128 0           conv2d_2[0][0]                   \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_3 (Conv2D)               (None, 120, 120, 128 147584      activation_2[0][0]               \n",
      "__________________________________________________________________________________________________\n",
      "activation_3 (Activation)       (None, 120, 120, 128 0           conv2d_3[0][0]                   \n",
      "__________________________________________________________________________________________________\n",
      "max_pooling2d_1 (MaxPooling2D)  (None, 60, 60, 128)  0           activation_3[0][0]               \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_4 (Conv2D)               (None, 60, 60, 256)  295168      max_pooling2d_1[0][0]            \n",
      "__________________________________________________________________________________________________\n",
      "activation_4 (Activation)       (None, 60, 60, 256)  0           conv2d_4[0][0]                   \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_5 (Conv2D)               (None, 60, 60, 256)  590080      activation_4[0][0]               \n",
      "__________________________________________________________________________________________________\n",
      "activation_5 (Activation)       (None, 60, 60, 256)  0           conv2d_5[0][0]                   \n",
      "__________________________________________________________________________________________________\n",
      "max_pooling2d_2 (MaxPooling2D)  (None, 30, 30, 256)  0           activation_5[0][0]               \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_6 (Conv2D)               (None, 30, 30, 512)  1180160     max_pooling2d_2[0][0]            \n",
      "__________________________________________________________________________________________________\n",
      "activation_6 (Activation)       (None, 30, 30, 512)  0           conv2d_6[0][0]                   \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_7 (Conv2D)               (None, 30, 30, 512)  2359808     activation_6[0][0]               \n",
      "__________________________________________________________________________________________________\n",
      "activation_7 (Activation)       (None, 30, 30, 512)  0           conv2d_7[0][0]                   \n",
      "__________________________________________________________________________________________________\n",
      "dropout (Dropout)               (None, 30, 30, 512)  0           activation_7[0][0]               \n",
      "__________________________________________________________________________________________________\n",
      "max_pooling2d_3 (MaxPooling2D)  (None, 15, 15, 512)  0           dropout[0][0]                    \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_8 (Conv2D)               (None, 15, 15, 1024) 4719616     max_pooling2d_3[0][0]            \n",
      "__________________________________________________________________________________________________\n",
      "activation_8 (Activation)       (None, 15, 15, 1024) 0           conv2d_8[0][0]                   \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_9 (Conv2D)               (None, 15, 15, 1024) 9438208     activation_8[0][0]               \n",
      "__________________________________________________________________________________________________\n",
      "activation_9 (Activation)       (None, 15, 15, 1024) 0           conv2d_9[0][0]                   \n",
      "__________________________________________________________________________________________________\n",
      "dropout_1 (Dropout)             (None, 15, 15, 1024) 0           activation_9[0][0]               \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_10 (Conv2D)              (None, 15, 15, 512)  262656      dropout[0][0]                    \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_11 (Conv2D)              (None, 15, 15, 512)  524800      dropout_1[0][0]                  \n",
      "__________________________________________________________________________________________________\n",
      "add (Add)                       (None, 15, 15, 512)  0           conv2d_10[0][0]                  \n",
      "                                                                 conv2d_11[0][0]                  \n",
      "__________________________________________________________________________________________________\n",
      "activation_10 (Activation)      (None, 15, 15, 512)  0           add[0][0]                        \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_12 (Conv2D)              (None, 15, 15, 1)    513         activation_10[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "up_sampling2d_1 (UpSampling2D)  (None, 30, 30, 1024) 0           dropout_1[0][0]                  \n",
      "__________________________________________________________________________________________________\n",
      "up_sampling2d (UpSampling2D)    (None, 30, 30, 1)    0           conv2d_12[0][0]                  \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_13 (Conv2D)              (None, 30, 30, 512)  4719104     up_sampling2d_1[0][0]            \n",
      "__________________________________________________________________________________________________\n",
      "multiply (Multiply)             (None, 30, 30, 512)  0           dropout[0][0]                    \n",
      "                                                                 up_sampling2d[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "activation_11 (Activation)      (None, 30, 30, 512)  0           conv2d_13[0][0]                  \n",
      "__________________________________________________________________________________________________\n",
      "tf_op_layer_concat (TensorFlowO [(None, 30, 30, 1024 0           multiply[0][0]                   \n",
      "                                                                 activation_11[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_14 (Conv2D)              (None, 30, 30, 512)  4719104     tf_op_layer_concat[0][0]         \n",
      "__________________________________________________________________________________________________\n",
      "activation_12 (Activation)      (None, 30, 30, 512)  0           conv2d_14[0][0]                  \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_15 (Conv2D)              (None, 30, 30, 512)  2359808     activation_12[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "activation_13 (Activation)      (None, 30, 30, 512)  0           conv2d_15[0][0]                  \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_16 (Conv2D)              (None, 30, 30, 256)  65792       activation_5[0][0]               \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_17 (Conv2D)              (None, 30, 30, 256)  131328      activation_13[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "add_1 (Add)                     (None, 30, 30, 256)  0           conv2d_16[0][0]                  \n",
      "                                                                 conv2d_17[0][0]                  \n",
      "__________________________________________________________________________________________________\n",
      "activation_14 (Activation)      (None, 30, 30, 256)  0           add_1[0][0]                      \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_18 (Conv2D)              (None, 30, 30, 1)    257         activation_14[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "up_sampling2d_3 (UpSampling2D)  (None, 60, 60, 512)  0           activation_13[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "up_sampling2d_2 (UpSampling2D)  (None, 60, 60, 1)    0           conv2d_18[0][0]                  \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_19 (Conv2D)              (None, 60, 60, 256)  1179904     up_sampling2d_3[0][0]            \n",
      "__________________________________________________________________________________________________\n",
      "multiply_1 (Multiply)           (None, 60, 60, 256)  0           activation_5[0][0]               \n",
      "                                                                 up_sampling2d_2[0][0]            \n",
      "__________________________________________________________________________________________________\n",
      "activation_15 (Activation)      (None, 60, 60, 256)  0           conv2d_19[0][0]                  \n",
      "__________________________________________________________________________________________________\n",
      "tf_op_layer_concat_1 (TensorFlo [(None, 60, 60, 512) 0           multiply_1[0][0]                 \n",
      "                                                                 activation_15[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_20 (Conv2D)              (None, 60, 60, 256)  1179904     tf_op_layer_concat_1[0][0]       \n",
      "__________________________________________________________________________________________________\n",
      "activation_16 (Activation)      (None, 60, 60, 256)  0           conv2d_20[0][0]                  \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_21 (Conv2D)              (None, 60, 60, 256)  590080      activation_16[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "activation_17 (Activation)      (None, 60, 60, 256)  0           conv2d_21[0][0]                  \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_23 (Conv2D)              (None, 60, 60, 128)  16512       activation_3[0][0]               \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_24 (Conv2D)              (None, 60, 60, 128)  32896       activation_17[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "add_2 (Add)                     (None, 60, 60, 128)  0           conv2d_23[0][0]                  \n",
      "                                                                 conv2d_24[0][0]                  \n",
      "__________________________________________________________________________________________________\n",
      "activation_18 (Activation)      (None, 60, 60, 128)  0           add_2[0][0]                      \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_25 (Conv2D)              (None, 60, 60, 1)    129         activation_18[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "up_sampling2d_6 (UpSampling2D)  (None, 120, 120, 256 0           activation_17[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "up_sampling2d_5 (UpSampling2D)  (None, 120, 120, 1)  0           conv2d_25[0][0]                  \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_26 (Conv2D)              (None, 120, 120, 128 295040      up_sampling2d_6[0][0]            \n",
      "__________________________________________________________________________________________________\n",
      "multiply_2 (Multiply)           (None, 120, 120, 128 0           activation_3[0][0]               \n",
      "                                                                 up_sampling2d_5[0][0]            \n",
      "__________________________________________________________________________________________________\n",
      "activation_19 (Activation)      (None, 120, 120, 128 0           conv2d_26[0][0]                  \n",
      "__________________________________________________________________________________________________\n",
      "tf_op_layer_concat_2 (TensorFlo [(None, 120, 120, 25 0           multiply_2[0][0]                 \n",
      "                                                                 activation_19[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_27 (Conv2D)              (None, 120, 120, 128 295040      tf_op_layer_concat_2[0][0]       \n",
      "__________________________________________________________________________________________________\n",
      "activation_20 (Activation)      (None, 120, 120, 128 0           conv2d_27[0][0]                  \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_28 (Conv2D)              (None, 120, 120, 128 147584      activation_20[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "activation_21 (Activation)      (None, 120, 120, 128 0           conv2d_28[0][0]                  \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_30 (Conv2D)              (None, 120, 120, 64) 4160        activation_1[0][0]               \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_31 (Conv2D)              (None, 120, 120, 64) 8256        activation_21[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "add_4 (Add)                     (None, 120, 120, 64) 0           conv2d_30[0][0]                  \n",
      "                                                                 conv2d_31[0][0]                  \n",
      "__________________________________________________________________________________________________\n",
      "activation_22 (Activation)      (None, 120, 120, 64) 0           add_4[0][0]                      \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_32 (Conv2D)              (None, 120, 120, 1)  65          activation_22[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "up_sampling2d_9 (UpSampling2D)  (None, 240, 240, 128 0           activation_21[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "up_sampling2d_8 (UpSampling2D)  (None, 240, 240, 1)  0           conv2d_32[0][0]                  \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_33 (Conv2D)              (None, 240, 240, 64) 73792       up_sampling2d_9[0][0]            \n",
      "__________________________________________________________________________________________________\n",
      "multiply_3 (Multiply)           (None, 240, 240, 64) 0           activation_1[0][0]               \n",
      "                                                                 up_sampling2d_8[0][0]            \n",
      "__________________________________________________________________________________________________\n",
      "activation_23 (Activation)      (None, 240, 240, 64) 0           conv2d_33[0][0]                  \n",
      "__________________________________________________________________________________________________\n",
      "tf_op_layer_concat_3 (TensorFlo [(None, 240, 240, 12 0           multiply_3[0][0]                 \n",
      "                                                                 activation_23[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_34 (Conv2D)              (None, 240, 240, 64) 73792       tf_op_layer_concat_3[0][0]       \n",
      "__________________________________________________________________________________________________\n",
      "activation_24 (Activation)      (None, 240, 240, 64) 0           conv2d_34[0][0]                  \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_22 (Conv2D)              (None, 60, 60, 4)    1028        activation_17[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_35 (Conv2D)              (None, 240, 240, 64) 36928       activation_24[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_29 (Conv2D)              (None, 120, 120, 4)  516         activation_21[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "up_sampling2d_4 (UpSampling2D)  (None, 120, 120, 4)  0           conv2d_22[0][0]                  \n",
      "__________________________________________________________________________________________________\n",
      "activation_25 (Activation)      (None, 240, 240, 64) 0           conv2d_35[0][0]                  \n",
      "__________________________________________________________________________________________________\n",
      "add_3 (Add)                     (None, 120, 120, 4)  0           conv2d_29[0][0]                  \n",
      "                                                                 up_sampling2d_4[0][0]            \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_36 (Conv2D)              (None, 240, 240, 4)  260         activation_25[0][0]              \n",
      "__________________________________________________________________________________________________\n",
      "up_sampling2d_7 (UpSampling2D)  (None, 240, 240, 4)  0           add_3[0][0]                      \n",
      "__________________________________________________________________________________________________\n",
      "add_5 (Add)                     (None, 240, 240, 4)  0           conv2d_36[0][0]                  \n",
      "                                                                 up_sampling2d_7[0][0]            \n",
      "__________________________________________________________________________________________________\n",
      "conv2d_37 (Conv2D)              (None, 240, 240, 4)  20          add_5[0][0]                      \n",
      "==================================================================================================\n",
      "Total params: 35,563,044\n",
      "Trainable params: 35,563,044\n",
      "Non-trainable params: 0\n",
      "__________________________________________________________________________________________________\n"
     ]
    }
   ],
   "source": [
    "model.summary()"
   ]
  }
 ],
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