{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Using TensorFlow backend.\n"
     ]
    }
   ],
   "source": [
    "import keras\n",
    "from keras.models import Sequential, Model, load_model\n",
    "\n",
    "from keras.layers import Dense, Dropout, Activation, Flatten, Input, Lambda\n",
    "from keras.layers import Conv2D, MaxPooling2D, Conv1D, MaxPooling1D, LSTM, ConvLSTM2D, GRU, BatchNormalization, LocallyConnected2D, Permute\n",
    "from keras.layers import Concatenate, Reshape, Softmax, Conv2DTranspose, Embedding, Multiply\n",
    "from keras.callbacks import ModelCheckpoint, EarlyStopping, Callback\n",
    "from keras import regularizers\n",
    "from keras import backend as K\n",
    "import keras.losses\n",
    "\n",
    "import tensorflow as tf\n",
    "from tensorflow.python.framework import ops\n",
    "\n",
    "import isolearn.keras as iso\n",
    "\n",
    "import numpy as np\n",
    "\n",
    "import tensorflow as tf\n",
    "import logging\n",
    "logging.getLogger('tensorflow').setLevel(logging.ERROR)\n",
    "\n",
    "import pandas as pd\n",
    "\n",
    "import os\n",
    "import pickle\n",
    "import numpy as np\n",
    "\n",
    "import scipy.sparse as sp\n",
    "import scipy.io as spio\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import isolearn.keras as iso\n",
    "\n",
    "from seqprop.visualization import *\n",
    "from seqprop.generator import *\n",
    "from seqprop.predictor import *\n",
    "from seqprop.optimizer import *\n",
    "\n",
    "from definitions.aparent_legacy_without_padding_with_dense import load_saved_predictor\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Define target isoform loss function\n",
    "def get_deepdream_loss(target_neuron) :\n",
    "\n",
    "    def loss_func(predictor_outputs) :\n",
    "        pwm_logits, pwm, sampled_pwm, _, cut_pred, iso_score_pred, cut_score_pred, dense_out = predictor_outputs\n",
    "\n",
    "        #Maximize dense neuron activation\n",
    "        deepdream_loss = 1.0 * -K.mean(dense_out[..., target_neuron], axis=0)\n",
    "        \n",
    "        #Compute total loss\n",
    "        total_loss = deepdream_loss\n",
    "\n",
    "        return K.sum(total_loss, axis=0)\n",
    "    \n",
    "    return loss_func\n",
    "\n",
    "\n",
    "#Function for running SeqProp on a set of objectives to optimize\n",
    "def run_seqprop(sequence_templates, loss_funcs, library_context, n_sequences=1, n_samples=1, n_epochs=10, steps_per_epoch=100) :\n",
    "    \n",
    "    n_objectives = len(sequence_templates)\n",
    "    \n",
    "    optimized_pwms = []\n",
    "    optimized_cuts = []\n",
    "    \n",
    "    for obj_ix in range(n_objectives) :\n",
    "        print(\"Optimizing objective \" + str(obj_ix) + '...')\n",
    "        \n",
    "        sequence_template = sequence_templates[obj_ix]\n",
    "        loss_func = loss_funcs[obj_ix]\n",
    "        \n",
    "        #Build Generator Network\n",
    "        _, seqprop_generator = build_generator(seq_length=185, n_sequences=n_sequences, n_samples=n_samples, sequence_templates=[sequence_template * n_sequences], batch_normalize_pwm=False)#True\n",
    "        \n",
    "        #Build Predictor Network and hook it on the generator PWM output tensor\n",
    "        _, seqprop_predictor = build_predictor(seqprop_generator, load_saved_predictor(model_path, library_context=library_context), n_sequences=n_sequences, n_samples=n_samples, eval_mode='pwm')\n",
    "        \n",
    "        #Build Loss Model (In: Generator seed, Out: Loss function)\n",
    "        _, loss_model = build_loss_model(seqprop_predictor, loss_func)\n",
    "        \n",
    "        #Specify Optimizer to use\n",
    "        opt = keras.optimizers.SGD(lr=0.5)\n",
    "        #opt = keras.optimizers.Adam(lr=0.001, beta_1=0.9, beta_2=0.999)\n",
    "\n",
    "        #Compile Loss Model (Minimize self)\n",
    "        loss_model.compile(loss=lambda true, pred: pred, optimizer=opt)\n",
    "\n",
    "        #Specify callback entities\n",
    "        callbacks =[\n",
    "            EarlyStopping(monitor='loss', min_delta=0.001, patience=5, verbose=0, mode='auto'),\n",
    "            #SeqPropMonitor(predictor=seqprop_predictor, plot_every_epoch=False, track_every_step=False, isoform_start=80, isoform_end=115, pwm_start=70-40, pwm_end=76+50, sequence_template=sequence_template, plot_pwm_indices=[0])\n",
    "        ]\n",
    "\n",
    "        #Fit Loss Model\n",
    "        train_history = loss_model.fit(\n",
    "            [], np.ones((1, 1)), #Dummy training example\n",
    "            epochs=n_epochs,\n",
    "            steps_per_epoch=steps_per_epoch,\n",
    "            callbacks=callbacks\n",
    "        )\n",
    "        \n",
    "        #Retrieve optimized PWMs and predicted cleavage distributionns\n",
    "        _, optimized_pwm, _, _, cut_pred, _, _, _ = seqprop_predictor.predict(x=None, steps=1)\n",
    "        \n",
    "        optimized_pwms.append(optimized_pwm)\n",
    "        optimized_cuts.append(cut_pred)\n",
    "\n",
    "    return optimized_pwms, optimized_cuts\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Specfiy file path to pre-trained predictor network\n",
    "\n",
    "save_dir = os.path.join(os.getcwd(), '../../saved_models/legacy_models')\n",
    "model_name = 'aparent_theano_legacy_30_31_34.h5'\n",
    "model_path = os.path.join(save_dir, model_name)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Running optimization experiment 'Alien2 Isoforms'\n",
      "Optimizing objective 0...\n",
      "Epoch 1/1\n",
      "4000/4000 [==============================] - 78s 19ms/step - loss: -63.9409\n",
      "Optimizing objective 1...\n",
      "Epoch 1/1\n",
      "4000/4000 [==============================] - 76s 19ms/step - loss: -46.8354\n",
      "Optimizing objective 2...\n",
      "Epoch 1/1\n",
      "4000/4000 [==============================] - 81s 20ms/step - loss: -22.2383\n",
      "Optimizing objective 3...\n",
      "Epoch 1/1\n",
      "4000/4000 [==============================] - 82s 21ms/step - loss: -104.8090\n"
     ]
    }
   ],
   "source": [
    "#Optimize dense neuron activations for the 'Alien2' (aka 'Doubledope') library\n",
    "\n",
    "seq_template = 'XXXXXXXXXCATTACTCGCATCCANNNNNNNNNNNNNNNNNNNNNNNNNAATAAANNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNNCAGCCAATTAAGCCTGTCGTCGTGGGTGTCGAAAATGAAATAAAACAAGTCAATTGCGTAGTTTATTCAGACGTACCCCGTGGACCTACG'\n",
    "library_context = None\n",
    "\n",
    "neuron_objectives = [25, 33, 20, 38]\n",
    "\n",
    "#Run SeqProp Optimization\n",
    "\n",
    "print(\"Running optimization experiment 'Alien2 DeepDream'\")\n",
    "\n",
    "#Number of PWMs to generate per objective\n",
    "n_sequences = 20\n",
    "#Number of One-hot sequences to sample from the PWM at each grad step\n",
    "n_samples = 1\n",
    "#Number of epochs per objective to optimize\n",
    "n_epochs = 1#10\n",
    "#Number of steps (grad updates) per epoch\n",
    "steps_per_epoch = 4000\n",
    "\n",
    "sequence_templates = [\n",
    "    seq_template\n",
    "    for target_neuron in neuron_objectives\n",
    "]\n",
    "\n",
    "losses = [\n",
    "    get_deepdream_loss(target_neuron)\n",
    "    for target_neuron in neuron_objectives\n",
    "]\n",
    "\n",
    "alien2_pwms, alien2_cuts = run_seqprop(sequence_templates, losses, library_context, n_sequences, n_samples, n_epochs, steps_per_epoch)\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dense Neuron 25\n"
     ]
    },
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 864x108 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dense Neuron 33\n"
     ]
    },
    {
     "data": {
      "image/png": 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DC0Iq8CRmHM3E9j6aB7yM6uoeiYvjOM5/KG4QrY+IvH9tR8FxnE6sqbkhZXq14HtXdZZdS7B5q1LyIfk+AHNfSz8j6DyCMxe4CngUM05GJsdRwCSaM56WA68mn0XhMwbYBehTcN7rwE+B25vad6gZRPoAu2HG0S5A7wbOUmABMB+7t9XYxq/pZ1XB540cfVFn0e9G8rHm6MjqKcubkjmW6cmj3vn1aOS9aVbuVMlLo648K0/r/3zK8sViVH/XsCI3iNZDRG5a21FwHMfpJtEQuhPVVYWhbISlDdg0+UzGjLPncz6vFho0IgOAXYG3YoZJnN8zC/gWqs9396YaxkbLtgZ2CJ/JrDmj2nEc59+N2ah+tNHAbhCtj7hB5DjOvy8vAVdTzxBa09hCCjthI1f3oLpircXF4jME2A4zkkYCrZghOHxtRstxHGct4QaRUweR49Z2FBzHeVPpKReUrl4ryt+g6i4Vw72R/J/Kl2GLISwFloTvrwGvrDGXtP9EzM2uFWjB5jr1ynw2CJ/eOZ+yrTnK3M7yXMrywjfyPXvNMne9snOzaMGx6Lr1vjd7ruM4a5ZFqN7QaGA3iBzHcRzHcRzHWW/xjVkdx3Ecx3Ecx1lvcYPIcRzHcRzHcZz1FjeIHMdxHMdxHMdZb3GDyHEcx3Ecx3Gc9RY3iBzHcRzHcRzHWW9xg8hxHMdxHMdxnPUWN4gcx3Ecx3Ecx1lvcYPIcRzHcRzHcZz1FjeIHMdxHMdxHMdZb3GDyHEcx3Ecx3Gc9RY3iBzHcRzHcRzHWW9xg8hxHMdxHMdxnPUWN4gcx3Ecx3Ecx1lvcYPIcRzHcRzHcZz1FjeIchARDZ+JazsujuM4juM4juOsOdaqQSQik0XkNyIyV0SWi8i/ROT3IrLJ2ozXuoiIDBCR60TkBTfYHMdxHMdxHKdnWNsjRNcBRwGPAr8AHgT2BMaszUito/QFdgGm9pTCYGRt1gN6eonIZiLSPyPvLSI/EZGvNahHRORMEfmxiPTO6P9fEfmOiGyQOecUEamIyJCMfJSIjG7iHvYVkRuz6SEiu4rITSKyY0Y+REQmN6rfaQCRITSTpiL9EdkMkYbKMREGinC5CB/P+XMzRAY2HtkcKrIBFbmQipxDJRMnkXGItHZLPyAiLSIyPkc+XEQmNKFnkIhsmiPvH95lycj7BnnvmhMqMoGK3EhFjsoqCmk6IBN+KBW5mop0fgZrGpGRiHSuW0RaEBmXI9+QvDQVGYrIpDUSxzIqMoqKXE9F2teQ/l5U5Hwq8j0qteVsF3R9lIpcRUVG9FDsnAJE2E+EG0WorcsrchQVuYGKTGxMj0wMdeAhGXksE3pl5JuKyM0i8vaMfICI/FJETs/I+4jIRSLy5ZxrT87W4UG+sYgMayT+ZYjIaBEZlSNvE5GxOfITReRaERmZkb8l3PN2Gfm2Qb5Hg/HZSUR+KyJ7NRh+oIhcIVJbbopIaxhUOKFBPSIi/yMi56dtKRHZILTVzsk+5xJdXxeRi3PafWeIyOUiMjQjP1lErpEG60EROTyvTVYSfpyIXC8iR2TkW4Vnc1BdJaq6Vj7ACECBlwFJ5P2AgeH7GODPwHxgJTAPuAIYHv6fGHQo8EngReAl4DjgPcDz4ZwvJvovDeF/AtwCLAXuB3ZMwkSdE8PvFuAiYAawGPgLsE8Svh2YBiwDFgJ/BfYuuO9NgfNLPpvWSbfh2fh14xkcEfQMybn3jk+ZPPw3KsgOzOj/eBL+HQ3oOSSRfzqRfyiRn57INwNWB/kPM9e+FrguIyu6bl9gTpDfF/Mj1mHwRJA/DmyQnHNyeN7VvHsKmv2Uyf2T+cBpCoubCH+ggiqMqvcM7Jnp2RZcFXSXRM+QIDyi3jVLn+UUTtYpaPickonrPQo/LtPVyD0D3wem5si/CjyTkZW9a8cCbwC9M+fEd7AlI981yDerufYUrgv3u0KnJOURDA9p+vZM+O8kabRPWZr2+HsDVyj8Lkf+vwp/y5GfpfBkjvxTCvPf9PdjCpeFdFulU9hmDej/QPJsPt0NPZvrFN4Ieqa8WenTbH75TyivQfuCzgll2t9AJTyD4TqFxeEZ/EWnVOupYl38jmqbbHgi3y/Ix2bC/yHIXwNGJ/KzkjJn90T+qUR+aCKXUJeelBOn2cD/S36XlWm58vDfdcA1Ofp/DtyekW2EtTc1bUMAGwBPB/ljQK8k/vcH+Sygb1lcQ/iHgmweof1V596+mch3TuQ/C7I3CG3YOnqOTOQfSeSnJPKTG9CzXyI/N5HvkMgvSuQTgVVBfm29ZwYMxNrSig2USANx+lWQLQFGJvI/B/kioLXsHVibI0SLQ8SHAw+KyPdF5N1YBb00hBkCDABuAi7GXtQPAt/K0XcG1pgdGcL+CEuIFuAcEdk8E/407EV+CBt5uTlr6YKNTgA3AB/BDKwbge2BP4jIFmI9oJcCGwNTgN8CQ4Eit7/xwKdLPp16f9cgYzLHntZzavL9XQ3oKQp/cvI97Yk+ieooZ1b/mJz4FPGOJOzumIEHsA8Q880W4ZPq7w90u/fK6WAMMBiRwU2ET4+FiNALK/QjR3ZFTx1S/Udn/hvbA/qhOF+PAcZkR3bq6BGsvMzK02OxvCIjqaZjX+DwOuE3AD6chKkdVVrzjAHyRo1L07RA3oJI3x6MWzkVGYwZsWANsyNKQneVonK2WU7E8lZ39Tj1Seuut1B9n98PxHL0rXR+z2sQkY2AONIzHKv7Ip3eZRHZGDg4/BwIHBrkQm09npazRfX7cKwurXnXwgjG6Ky8izTzjp8AxJHwdyWj4vtRbddtjXVuA+yItSHB2m8714nLLpjhANAK7F0WOLRBO9Vdob36wRiM5ttY706+p+9+tu7Koyj8SQXyE7ByC+CoBkahjgI2DN93xAyqQkSkjWpZMwg4IMg3p5qXhwAHlulZawaRqq7EEvVVLHN8BrPinxGR3UKYJzFDZDo2kvNYOP2AHJUnYKNCq7BRprNV9UME65JqBozcoKrvBfYF5gLjyE+sXYC9MAPuH5hF/xT2An8Ye8gbYMba9cCZqroNNpKVd993qaqUfO4qSLI1QRwq7m6B00lPGGpO3cwWlSkIhV86pLkoyAdh6Z+n55ACeYxTo/d1SOb3ojryqJ8mruHUp9k0bSb8ttQ2htNn2X2DqCLDMGO6s35rJDRjoJcxFhiVU6GMxTqPhnY+pVAPOXFqRn4AtXVIvfdjJ6yDKi/8m0FRmTAWGE1nY3Is+QZ6vLeGXXJ7gLdhRmekZ9OuIgOobZh1R//Byfc3+xmvbxTVUQcXyIvIuhPVe5eLwm+dhO+Qi7mqblugv6j8bcPKl54qN4ve/aw8TbvXVHVV+N6VdkIezT6b7ah20qbh98KM0Yb0iEgfYP9seBEZTlHdla9HKH7Hi9pkqXyxqr5Rdg2aT9OiuqiptO5d9ueaRlWvEZEbMaNkH8x6HQV8DThSRD4AVHJObcuRTVfVVSLyGtZr/0SQLw7HQdnwIQ4rReRZrAclb3RmYjgOwUZwUjZV1SUi8jHgTGwkCxH5F+a2d1dWWfDbPz0rT/iRqj5d8n9PEiv0Tr61PaBnt0yYBXV0bIr1FGXD7wD0ycpFpB+1Rm6H/vDCjgZ6iYjEceoS0sJgeTJCuXsmXHoP8V5HE/KS023SNH2qyfD1KHuWozPHrrALtQXy/OT7UKwDpSca0KOxcrsF65xJ5fH4aoN60mNX5M2maVn4N4PRwFBENkB1dUbeFyt/Xs7IwfLZkgL582sorlnWdNptj3Ukdk9/RfpS2xH2Zj/j9Y00XyxTZVmOfCntuoxyGq3risLPL5AvqCNP9TZaFjVF0h54Pefv0cCGItJPVVeEjqZdC+KZvYeFBfJ6eb6nwjerZ2tq28ExfLbuqqdnArVtvdgmGwpsmSPfgOoIWiP6ofbeFHilifDpNZpKo7VmEAVr9S2qeg9wK3CriMwHfoAZHwDHhOMlwCewIb6rqQ7Hp6yu8zvLVkk84kTuf+WEmxGOc4DJqroinDeAqrvUZar6s9AL8j7gAsyouytHX3SZK+J6zE/1zaBHCpwCPduE43Rs6L7eSxDD/wszYhdk5E8GWSx4t8BG5l7BGs+p/uhqCfaMCl+mUABuhfng3kntCx2vfTuwp2pNpdJTaedUaTZNmwkfn+WD2DuYGiw98SzT/J7m31r9IkJ9A72MNK5FBtET1KcnDKJ4z7/HRn/qpWkMfy/WqZWGX7OYe0nscGnF5prG0bs0rnkG0WjgmQL5m0VMuzuwsq+n0y7qfwrzmOiq/s2xdsUrwJ+our2sNeRU6fS+6cXaqGvpOktwA07rLnPprsgQrNG6Evg1tlBVPeLz/1MIX89gieFvzoSP8ocwr5v5Gfk0rE5upPztqfdsQ6xTtY+IDFbVJdDRUI+d67FzYyI26rIEa5dOTPSk7YHdVPX1jPwOzK1uIeXE8L/C3BTrvWtp3bURndP0LmBSE3pmAity9EzDppE0qmc2Vt/F8FuH43xs+ko0sjbBOlsWA7dh+aKQ0Nm9GZavrwIO0toOrLI43YMZX9n8eAM28FJ6b2tzhKgfcLeITMce9FKqPoC3heNL4fh2bBGEw+k5jhSRX2FDpiMxg+ePOeEewBZJ2BOYKiL3Yi/ovpib36XASyJyV9ARVx/JbYQHl7guFcYicim1bhPfFZEl2KTDrlRgnQocVasowsCK1JMX6aHqa/tO7H63qqMnhv8wtpLeuzPy44F/UvWTjfIvYQbzR3LiE7+/Eq8tYpVjcu0xmPH0C1U9SUQ+FeI3IPx3g6q+O8rL7jlWsnKqaFrhFsmdTnTbICpJ602wibsHYoVt2iPW8HXr6Afz6X6Gqj9+qrc/Nlr0atQVG2uN5IuQJ6NL3Ghsdc60B7TmHrrwzjYr3wR4Dnsn96F+I2oTrKHxbqxRtBG8ae9N2qM5mmrdMpiq20l1tNfStGgEcm0YRJOxRYPehTU88nq7u0PMvydijdmuzv2Jes4C/pfauQZrlGbzy39AeR3rrv9T5WQRYh0VO3gvpF3PoCKn5J9ewyZY/bo/Nr+6kXd5GpZPDqfa0NwEWI6Vs5OwMi/KFSsX+ydxLNKfKy8r02L9XlLWxe+xwzm65EX581Tz77mqeo6InBquNySE/7WqvldEPhnkvcK93KmqB4nIJ8N0kNy4BiNsEnA3Ns/rw4ROmDpto7TukkQ+HysTJhM8aRpoY30IK+cOy8g/CDwb5Q3o+RRmaByfkX8JW6zi5Iz8m6p6nkg1Pxa0ySZgnd0Xq+pHsuFL4vQMZpC2U82/k7Hy7GjgvayrI0TYS/MD7AU8HHux/wVcCJwXwnwDywB7YlbfOVgh2xNciFn/O2Jzg07NjAAAoKpviMi7gP/GXuYTscr0d8DfQrDbsAmNb8cs7N8Cn+uheKackPn9nnA8i6716I3EMkh3Xeby9IwD/qmqzwKIyMw6OsZhaXdXcH2cEuTjgWdV9b6g5+okPMBNIfzPMvFZghndo7AV4squC8HdEcsXZfLIKHom7RxIG6DNpOkorDeukfDjgLtVeRn4u0hN2deMniLGA9Np1wcBqMivcvSPCN8bcWnLI8YvG9chWCOjmXsouufG5BUR7J7/l3Z9nYr8kVojM+9Zjgduo13nAfOoyHMNxrU5RK4BXkb1tEQ6EjMiVmbiFCebZ+M6HGtg1MqtQdOaEx5E3o8t5jOW6ryDnmI8cB3t+howtdvLYufrn0m73gtARa7qhh6AK2lXpSK/6InIpfynjvh0IHIZ0AvV4+qELKqjqs/AKH0GYdGA0Zini4rIJVqbf2ve/eBVMwr4aah7b6LaSB8H3KuqC4GFyYIE44CHVfX5oOPZIv058hEi0jcZkWmWWOYOCd+fTuRx9bF47Wza/V8Sf6im9U/CsRUrJ7LyIkZi7e4rQ1pf1sDoR6i7NNRdHWk6HrhZVRcBD4nULRPGYcbXvaFdG9tS44FpqvoQgIj8uo6e8dgAxo2qulpEfpnIFVvNT0U63v2m8mOz4UOH4DjMgFotIhVAw/zzDYFvh/uNq9AVstYMovDCfbZOmDl0XkDhh8n/M8iMtqjq8Mzv/QrUL1DVTxZcN6tzHvCxkni+r+i/niSn56O7jMKMwe426kdhPQ7pKmxCyX5fAAAgAElEQVRjgUfiD63fQBgLPBbDJeHHkhg0SeExFiss5+ToH4W5E/Wn/r3FCaCP5Fw3Tx4XehiEjWyWrt7jNMwQzICdSuNpOhLLd42EH0syAqxKml+inh2zJzXBGFLDu72mkhuJuXzunnwvRYRtsU6Wa1Q75kGOxBr0z1B7z/F7Q2kh1Ub9vTnhR2I9v3nyVP9w7HnZPberUuumHMNvn8jGYKt0Es6p1xDoKjvSuSdwFNXtG0Zl5Mux3uGsHOweUnkLZvhl5WAjN23YyFfPGXsV6Y2lZ1H+KjqvD+Z2Ppt2vbNO6LL82wxjgJdp17nd1LM+swN5XiS2T9oGqMbyIFNHdZRpcZGA+G7WewYjsTzdqa5L/k/f/VEhfo+H8HEJ5Bina+OJmfr0wRx5qn8vERmYzOHtkGPv1ew691F2fy9h73623FyAtSOifAzmTjYjxDNtb0AT7YQCap5NA8ZQvMYd8UcwQqNXQF7bqEzPo3FBgySuNe9+A3rGAE8nbbXViXx2MNCy8qWEKSkN6ofG02gYNqASn8Fq6FjII9VTbyGHtb4xq7OWCI36geRX7M0SC67WpPdiGNX5V41QFH44+QXhMGBGwYIJIzGDaB717y3OA8tOjo7yvDilDVAfIeoZihqg+Vg+a8Ua7408g+EU58dRQc8g7L1AThXNfhrQX1Rhj8Iq5IZGcETYAdvX4hLgrjBXIOqZT+d8PQqrxJ9rRD+WbkIm7cSWkd4wK0+ukcpjx1PZPU/HFjEYEEaUhpWE7xksX0yi87YHRWVCmfw1bF+RvBGlx+mcRptmjj1FLIs6pV2dfHoRcDnwxwY2wi3Lv83QU3p6DL1YJY4gpd/XSayhuymwac6qhz+lOp0AqnsSzsqEG455SDS6wl98l2fkRKcXZow0+u4XlbONlL9Qa7Ck8u7Us2XlZlY+HJiT064oSqPCtCugXrlZdE5W/yBsQKO7eqK8WT1Fz75QXtBWK9K/GpvL2AhFbbWm09oNovWXWPDk9QZ3Rdc0rJEVl9UdRuMZuiz8MMIoUIPhY3xiI6fevQ0DFka/34xcyfc5HYm9sE81oL9LiHCoCNNFuE3kTd2bam0RXZriio/1aMHyW91RERH6YqOFZfllevK9KxTl06iz0fwI5gIbV/zaRJXYs1Wkp1n9RSNKbXnyMHdpcJSH3slYCZXdc2zMtGEV+AYl4XuKjbCGQhvm95/GZx6WB/LSrkiel9aLsN7ObFpHI2wyPUu9tO5MRTands+nekZaWf5thp7Ss74S35WBdDYCtgG2TgylUHeRV3fNCaO2jRDzV175OAJ7b9MyITc/hs7QQVTn52WvkSeH4vJ3JNbIXU736tlmys2y9sZKOs8NL0u7PJp6l8MCA/1y9DdfJjTfxirTU5RGzcjL9L/Y4OhZDA89kEbrnUGkqieq7fdz1tqOy1pmJLaKx1NUGzlNE9xvWuhcoA2mubkSReEHUbvkbb3wMQ6x56deQVqkZzCwqGCYNerPNqJ6BBHaMLeDLbH9Hk4qP+M/gmYb9WnjvYVy/+m4j0zn52z5PvaAxnh0hcFUl/jP0kaD9ybCYGxO5evYvmszGtDTsP4k/GI6N+rTNG1L9jqK8mnYoi5DqS7f2vmeO6dpW2n4nmUS1fIiNUyKyoSeksdrL6bnDaKYdnnlYBFxfukz2AhCPRe+wU3qX9N6DJHNEflIOlrybzXi0zyTsQn0q0nzkb2LW2KuxdFNq6zuauYZFJePte/+hmH+UAyffZdjPi2KU1F93YZ5aLxG98q1IpopNweRX0YNBl7NGeUYjLWjGk3vmEavNRi+6Nl0pTwta2M1o6eoTdasvFn9RdRLo4Z1rdV9iJy1Shs2+jEX6z0va9CVEXvqn8IKhliw9IGOPREaoXdB+N6YO1Cj4aFawPYjf2+pRq9bpn9++IxscK+jZjgeq/hexl7qri/DXpE9gC9iz/Zc2nVanTPWKFnXs6QxU5OmtSfJNthy9t9MJqunLk1CupRyZ2I5l/c8B2H+x7NIKuQurDRVlE9jXO+hsYp9F8zoOBVbqSfdLLMrjfSi+MTwLSLSO/iDj8QqlTlYr/CGWBkRdT6RnB/3Bsu752Hh/xnh/+jDXxS+J5mElUUbh+8PB3nMXyuoLg+byucDby2QZxtRneU2v2MU5tI0qaduJhDzb6e0K8mne2Fl4C5YuTyhgWvkP5uKbIiVIQOwRTTKyqPelNUj5jq5Ae0NLzpxPPAV4BY6u4atW4h8BpiKbSWSyj8KPIPqbbnn1TIJe24Dw/d7g3xckK3EDKPZNF9nFlFWPo7ERmhmhN9tFOfHXD2hY6VXnv7QEdtT5VoRcf5dLOOy+udTNT770Fx7ozewrIn6vw+woonwRc+mrPwt09VT+aUojZqRN6u/iJgW2XsrLDfLLuysn6Q98lDtNe6KHjDDagHVnuVe0Gkov4w+BeE7CigR2RzYQlVvKgkf4/QPrGG5UwPXzauci+RRfyyo+9N8j0Y9DsEqoO0xg7NrK0pVZALWQIs9KMuxhrYhcjgwG9WHO59ciwj9MRecccDNqh0rLPYUaZoORqQ/qsvDf+3Al7HVG6cGWVsSPv4uMohigZn3PGMPaKwY8zZ9boRqRVqRrYBJtOvvMnFtRP/WWO/wVaootjxrGtc8Pc3oz4YXzC1mbkYewy0Ix5exZZ+jvLZCrsiBwALa9SFq03ReQfjdgb60ZxqP3Wci1fmA2RGip8L12zLyl5J4pvJ5deQjkk1eNw7/3wMc2RM3kpBNu7cBy2jXqYVnmHvVDbRr7DV9DEpXaEvz72bAVrTrjcGAuRZb8hdsYZA96sQ16hkBHAr8hnZdQUX2AaYA46jILcC7GzCMdk+Oa9UgKl3dTqQV+D62T2I1T9v+V+cDf6Z2/g+IbAisJkxCD0zE8u8Aag3rzakuIrQ5Nsm+rO6Kz6AftuTwH2jXsFEmrcC2wJOqzKF++ZgtE2ryo4gcihloMUxWT+8COVjd2Z9M+SXVUebulssxzveE62+ZkT+a0Z+2N4Zho/U30rV2Qh41BpeIHImt8FbUyRDTOtvWyT6DvYGVcTXeEl312lhbAZNUO+qu0nsQkfHAW1X1mox8JFZmXBvkrwX5cGw15huSxTPK9G+ALU9+h6oWuSXWS6PXg67DgedUdToF1HWZE5EZIqIi8u5Edn6QXVrv/H83RKS/iPxQROaKyDIR+YuIvKXOOTuKyK0iskBElorINJHqJFYReX+QLRGR10Tkscz/A0TkOhF5IaSrisjE5P/9Enn2c2IXbzUWNguS313VsxzL8LHxFPNV3VU9EnoVhN+AakY/BKt0ysLHOM1L4tOV6zaqP/7uSXYEpqiyWJUZqjWbQhZT6eT2eDpW2ZyFGRR/7vjHCvvrge/VUxsm9f8WW9b1K0Clofg0RyvFabpP5hj/n0d1E7yyZ1CWH9uwuWILaSy/FJHm03dQ3TogjWsj+scBT6vmGthFelL5ELFGWBlF736pXM1AXRp+RyM93vNXgWOT8G9g/vYLCsKfCpxRJ55dYSLWcJ5J1UiJcYr3lmdMlsmHY65CWXk6Z3IiloemZ67bFAWLJGTT7nPUzg+qpdKxDO2jTVw6zb8HYY14sJGmA7H89Qg2x69RPZOwsmIIFRmEbUQ5FnPf26GuMWSN4l2xtN69NOzaZ69w3CezGMJumKfCW6kuOBRd4B7GNjZNmYjl3+epzUebY2n/dPgOjdWZg7FnMNkuy1FB/53ALBE2p375OA97l5X8d/mb2H5ERXrq6YfO5dpQrEHbaLlZRiPlZpSnaTcWS7tWutZOyCPVD7aNzIEFYaN+cq6RfQafonYvxiJd9fLLO4Bv19GTht8VuCxHviWWdn0y8vFBXrZhcxq+Twi/VUn4sjRalYzGfQvbF7MQHyHqzPnYxmT/xHphjgFuE5HJWrz56fVY4fUotqTu0cCPRWS6qt4Z/puJ7QK9EZbp0v/7Yq4NU4EjcvT/C7gg+T2Y6qZXXXWnir2/SzALujsG0YKw7nzsaVmNZc5mRjZWFIRfRb7hXhS+I05YRVTvvlaU6C/qMIj6016zHllmV4R+WC903VGbDmxPkh8CJ1ORl4FP065XY72zV9Ku38g56xDsHvdFZBiqZfO9DsOWv/8EloezK3g1TMlmpHlpOgtb+Ww3rIdvL6oGsYVXXYXIK5Q/59gjl/c824BXgp7u9ETm51NrSEfXs0b0j6A6EpMX16hnoIgMUtXXgvxxsmlXTNQTDZ+R2AhCfJdXiG34PDITHqquYjG/572DbcBCVN9AJLrcrSoJ3xR19qHZGHt3lNpd5uM9ZEeI0jQdgkg/VGOYh6mmaSvwQpDPoDat51It42cBrYgMwp5NU+S6wFVkt/B3o3N+B2INiU49qiUudkXl7DuxRSR2wPJlPXfAIj1HYvlgD9r1vjB6XY+J2LtzIbBzA+HXKHXcaPfCRnP3wfLCjER+L7aX4vaY5wLYKFsLMB6RsdgWI4Rz/4qNEO2S6N8Mmw82m+r2FkV1VO4zEGEg5oZ7B1aO7hR0xvK8qHxcEPZ3WRh+L03Cp43QonL29QJ51A/WmZCWj/EY383uuKHGdzx16U/l0bNFsLTLK6OK2htl7ZA8ivQXEdM0e05XytOyNlaz99BwviuRN6u/iLI0amqdhB5ZVEFENhSRa0VkvogsF5HnROSi8F8fEblNRF4UkddF5BURuVFENkrO31tEHg2jJ5eLyFVh9OP8JMyRIvJ3EVkkIjNF5HtifttFcfp6GMnK+7QXnDMSm8D+BnCgqn4AG+IfgvW2553Th7DjOtCuqu+lWuhNBFDV76jq21X1Y6r6Tqo9d5PC/6+q6gSqO/7WoKpPq+oZ8UO1sfygZv2VG6cV6/WNK6l1tSHYSrVxsABoCzqXY4Zeo6woCL+qQJ4bPrjrtVDtxd1Q0p65xq+7gupKX1niPS8K8evJEaK4Mta80lC1fArbJ+sJzLWpLfQSb0E6KlTL24ErsJ6/sh4qgIOBR1S5UJXHVJO9ZHqOmKZpTyRYQ2wDrCLfM+l97ZTvSnTHAjPveTajp4yifDoiHPNGIfLoT/HctRjX7AhOkbyIVmBe2OhwcUZPzHcL6shjhZx3z82G70k2xjqQZhHnzVieSdNoINW6o9k0LZKn14X6c3aaodm0iyOEZpBV5DAqkt3UO+8aefp3BO6gXV+gXZV2rTdCVKRnd+AR2oNLT7tmtznIYyfMALgT2ClnGep1iT2AGzCjcY+M/C5s5DCVH41t5jkdeHci3xjLQ9X8a2yKjRA9gxlHUFxHFT2DvTED8yOq/FGV76mymubLx6L8mKsnLEy0skT/K2EOY7bM6fbIfaj7N6T6zrYki8Wk73JvbJnmorQras80284p0l9EdBvPntOV8rQorqub1FMUvll5ET2ZRr2k/oa1HfTUCNHngPcCfwMewl7qOEG1F7bR0q3YaMSe2ChIX+Cw4FN4E5YZ78Is+INS5cFH9QYs896A+dl/FmtsFLkOnESx68Jl5Lv9bEOYDJz4K94PfIiCTRtVdaWIXAB8BpgiIk9hvVkPA9cl97A78EGsN2Y7rCC8oSB+hYRejLih7A+aPT+hDdhBRO7CCozWbuiZFPRsRbUBvhzrqWyUovArC+RF4Ydjee58qgZ/C8XzS4r0lMW/FZvXsjfVCf09RXx5m/FLPhX4DfYOgvll98UqIKvMKrIfNq/lF6FhcQjwaSxtDg3nFzGOBjYT7SZtwHHAflhFGNP0LZirzr1YOTIeayy0AXtj+W405c8gFph5z7MNGBv0bEG1M6NZivJprMivwBYbaEGkF8WbxK0ib1PGqq6vUJ2v1oL1RLdhRvEHEnkZbcDuIrIz1nhuSeRvCe9yW0a+R5BvEuTRpWFAgf6NQppuCdxXJ3xTFPbUW+NnHNWFNmL5H+cpfIfqBpItiCwLcf061VWfWjDDpg1z6Tsukcd7Oxl7Z6Ca7yaE817EGgAbU115s7vEtGu0PI33GPPYwVidc1l+8I5r5Okfj9XPjVKkZyRxbldFhmDzAn6VzHHKY0fs3X8US/9xhM0d1yks3+0KfA1rL+wBXBXK2T2wdB8fvl8YzjoSczWbBbwLuDCEj/loADABEcE6GDfF5rLMBibZqprabJ05Blga5g2lpOVjdh5xG7BfePfHYfn98SR8Og+krJwtimsbNtp9F+bWl85TBBvN2ohqnm6W+N7+CGvb9QKGhxHwYcC5VN+vWK4NySopif9yoL+I9Gpk48+gf4BIwwsxFaVpV8rTsvzSjJ6i8GXyZtqCzYavl0Z5+TqXnjKIon/1fZihMY3QyxncL47CjKDRWOG2E/aS9cKG5IdjvR8HBNerh7Ce4cinwvFBzJq/DzM6ThCRT+RNzlLViV24j7juf+q/HyvK0SXnXY/50G4fPiuDLH0IW1O9jzeA39O1RQzeifUQvYhN4OwqrVgBNy753VU9Q4F9M3qWU90YqxGKwi8pkBftTRCvv0tGVmYQFekfJCJ9cvYoasVG9yYlv3uKOMG2sQLKfPO3Ar6e7DuxJOxuD1Wj8ACso+EXWMN/HNWVBWs6IHJYQs/eYx6tWMU3OfkN5i43HVv9bGn4PSv8P4bqrtZl8YsuG3nPuRVrMGfzb7MU5dOob89ENgwbyctjMdVFMDoIo+EDsMnQHbqlOvoxjqorTb17aMUaXhOS3/E4luqyvqm8jdo0imXkcMxVLKt/cEn4NcUYrEPhv7BnuiG20W68j3SBlVYsT/Uhk6bJiNKoTPh4bKPqZpQaRMOw92s1Va+BnqDZtIs99Z3yUZ1r5OkfQCyTKrIncArtenJOuFTP2Bz5aqqGfiu26fDdlG/NsAP2rq/AOgp2YF00iKwjdQAWtyepjgSNx/LQTMy13TxTRDbF6vADsbTYL+TTfljj7dNYPu6P5ccFWF2zLfae9wm6m60zFwADRBiommvIDKdzPdmKtX1GJ7/T/NgxjUBVV4nI6oJrF8W1Feu8i2XFqkQuibyZLTyy+sEM1lQWR6t2yMiXkL9s/nJgaI7hE9OurExPWYLd1xAa2zi3qO7qSnnabH4poih8mTyvTGhWfxFp/s3qifIeM4ii+0Y6HBUzU3ypzscy1sexl3k1cLWIHIf50N5JZ/++flimiA3yJxKLeTq1GXViOB4cPhHBMu8/s5EWka9TdVfJ8ndVzRshioVBWpHE77l+/SLSgi0JOhDzH34MGw07E/PhvhBAVS8VkV+G+F6NjSgtAP6nII5FxInIFwaXl66SbTR1x2UuT88KmttdenlB+MXkGz5F4fMag2X3Fgu6Aaq6LCOP52Z71Hoq7Yris5L6y4VHhoaj5d2KnAK00a7nhvlEeb7X+4XjpR0SkQlooRvLLOBwEfqprrFlk4vSdFesM+FDye/flITvhCoq0nB+6eqzXNSg/niNMoNoTI68SE9sSGXlZRTdczPyWJk3mqZLsY6g7uw4X49ohKSrvI0nv8e3jeJ9V4bRub5qo+qOmw0fr70xNhKTxqUniJV5o0sPL8UaUnn5qOwaefpXUm0nTMD2NzoZCpfQL9IzB9grZ+GXsjlh22HPMk4W3w5b3GVdI3a+xfm8y8KoUZQ/EI6KyFBsTuZSqhPF+2BlcjT2Dk90bxT+74+1rSKT6ai7GKBa42ZrZVHntI6u+p8U4Tzsec6mWteNorq0fqTeu5+dw1xUzjZb/mblw0SkbxfaPEXlZp77Xry3vHjG+Vqt1M7Ni/XhKBoziNK0q2sQhQGCvLZUWflbRFGbrOieiygKv4hqp1x39C/GOvsadXVLn0FWD1h51NAKlY3MIYorXO0JHcvgxVXX4suwUFUPwyqeHTCjoB0zht6DVS6/xyrvdMU2wV5IqN1JO10aEaoTFD8VNlUVVRVgE1XtZAwFTsIKkLzPIQXnTMMqgAkiEhM3Tmh9ONz/MBHZMlkFbhLV/QGmqurLVF0ltgrnDAHzpQ3LK94f/o+rxTSEiGyH9fQvB37azLk5ZAuKem42zeppdoPCJeRP1n+F/Eb9EsxVL5uH8wrAsnuLvQjZuEZ5TZzEdo7ONrC6mnadCEstv0Tt/jNlxE6JaBjtSHXFo0eADySjRZH9MCN+N+x9tMUVivk1VtjcKsI3Rfhlxz8igsg5iFwYFkBAhF4ifF2EJ0SYLsK9Ih2jyJ2pjn6ktIRe0y2xcuYRrDcyTq5uNv8W9fz11HtQlE+bzY8LgEkinTpzivQ0pT+MKGX/j7+L0iJPHndsb+SeW8LoZVEa9RR5RshGOfGxODUvj+64tXKrE8dl5OUGUUV6UZG9qchxVORQKlI2IhwbP42lnaX1HOpvOZBS9GwWUtA5k7orJt9NT+fG+D3Y+3camZ7c3I1WRQbnxGc71k12xozrR7C6fwDWMNwZK3cewTptBWsfHQJci+ruqO6OGUyHUJx/88qtyVTrqGw6vYJ15Na856rMxOZEfyucOwPrYCqqA6H5d7+onG20/B0c6ti8d7Cog7uMZt/xV7D2X7bOjI3r7D0UyYsoS7si8tpSr2Gjad3VE+PUjJ6i8GXyjXPaamX6o/tzIxQ9g6bTupEIXhyOZ4jI3zH/0Z1CJK4M/31RRB4ALsIWH5gY5K9SHXV5C7YSVnZk5uYQ8c1E5HYR+T3mdpbyo3A8T0SuFJH/E5H7Mf/SXFR1Ymo8ZT4nFpzzEtZr3gu4Q0SuwvzylyRxOAor9K4Pv6djlUafcM5lVH3544IHD4gty/0TEbkROCXIb43XFlvCPPoXA3xXRC4V298gEkeHpqhqM5PuawgLQQzNiLvaEOzUuAqNrlnAbuE7YhVcGbOArcUawWn4F4Ado55M+MEE4zkJ32wDNPYc7JbRUyTP09VjBlHgr8CHRDhWhJNESvY1MR/8OVivY5ZfY72UDwM2qdrS8W3ALajej+rfgb8Tl7SuSG8qMo6KjA97WKDKI8B/Y/MCvwK8NSzFDTYqvB9WcZ8TZMdhc/wOUmUrYH/V0j2pip7Z9ti7uA+qO2D+3jsnLk31dKTMotq5gUjHLtbZ84ZGw65JXgB2zGkI5uWNsrg+iDWcPiXCBiIcU0dPs/qH0tkzoDVUVkVGWPYarViZvYL8uZXZ8BsGo+GFgvA9xXisrL4lfFYHWbNp14y8BeuB7A38heoGosUjvNZBcQvmNrYL1f298mnXldgiFc2k3XTgPVSkUdeTF4AdcvLv08D+VBpuzMzByuVs4+T3WIfjT2hsnl7cPHdLbMTuAsw1bV1kZ+DiUEbtiHWO7hw+1wT59lhnx87Ar5bR/3wR9hDh0EfY7puYF814zCMn5t/Xg2xSkH89fF6kujw3dNRRpHUm5OeXD2NzmX8CfBQz1l7ARm9jXddHqkv355WzsU2Xpz9TzsqgVJ60B4rKX7B3qtlyrYhm3/EXsHd568x/jbYTBuW0VVLKnk0R2TQdHLypXuyCnu2DwdlIG6uIF4DNk2eYykeJSHZ6yQvYiFx2oKNMPzR+bwux92N3sIW1got59OpqOI3qFnKqegPmrvIPqoXTbdh8nxjxf2DW6ruxldJewkZzHsEMieuxBHkbGRcxVX0Fm1/0T2wUah50rGK1IoS5BTNEHsaGk4/GXuB0Keqe4tOYYTIq3M/fgEOKDJCw7O3hwO3YiND7sErkDFWNc3xux3qMTsJ6/u8HTsy47Z1A1ZACG1k7geCyFwyjuDre+XSPWBgciRW4F9C9OURfD3pOxAzDIZjf9ARgfxHZHiuEy5iJFUQfFJGxVOdbzcGGsvfKCQ9wYnixvxp+t2BLAo8Pn9mU31vUc0IY/YyN+ljQHRd6i86RWpeZtwb9V9TR3xXiUuxXYqur7VAenKuAT1CRy6kd6bkYm2+3NfYsYk/ghH4sf16Ea0S4qT/LLgc+RkW+Ea59GPaudqw+p1PkwZkXTPj938/e7Y/LL+33Q1XeQGQytt/Oq1jj8wxE9sLS5SWCC0gDbnYxTd8Szr0SS9MdgbmoxoLtYSwvbIrls2NC+HOpb5TOBHYXYWsR9qdqQLaE88cHfdC1nsg5QccuGXkrVoaMx4zGlXXi+iBWtp2JdTrFjphWrDyM+XoqtT2dmwb5bXX0x/AHhfAXh/DRTey9Qf4dqisyjcAW7hiP7WfVkoxCvJNKJwOyFSvnx2NllmALt8wB9qEiPelimjIeeBDVw1E9HJvEH0eIZlNNu+eopt1rifxBatN0UpD/MSPfKcij62Y0fo4N1/0l5SNEB2MjAvvSrmdgnYgvgG2ALMKXuER/J0JFpGPuwxzg0DBnsBHuCXF7imoHnFEJeypVZPOwZH/U34K99yl3Y/NdfkLV1baM6F58dI3U9hw6FJtjdRtWbmRdkVO2wcqVJ8PGpQ8DW9LEilFrlGgwWHx2IK78ai5d07Cya6dErpjxsaOgvxnIsgsxA/o3O/DIF1G9Hssz05L8+1SQTQKeRfVsVM/GFq6aRE3dRVp3xXQ9qlO8T5GVnCJTOEU+xynyU06R18Ic2dnAe8Rc+j4JjAmNyv7YOzweWwSiJYSfCxyZM5IyA9hVRLYVkbdhW4xE+WRgbxHZkdoFYH4W9B+UyFqBa4J810TeLPEdiO/4i4n++Yn88SDPz7/VzZ6PD/d8bjAg5mGN8fZgaHwNKHtH52J15VFNGCAzscVuthaR/aku6DIHODh6IDWoZwDwfrFVnj+R6NmIznVXEXOwuiK7RUxR2hXJy/Q3HD4YhzOx/BjrqsmqugQbXX93o6NTDS2qoKpTsKHWov9vomAlGlVdTOcX8xeZ34+q6nbQsWzyY0HesbKVWoFxPWuYMI/kE1QzS/b/S0nnXpjsPmrnNmXP+XjRf0mY0pcj7IHU7RWaArFgeUJVZ4vITLpW2ERdzwU9TyeyWFj/PhzPraMnhv8p5hIYV+h7Khx/jRU8KzPhP4+NUsQ80wrMVdXZACIyj/J7mxuutx/W6z1QRM4Ii4HEHu2XMcP0TKqNosdV9WURmUXP74Smj3IAAAw3SURBVJFxBWaYR3/ceiMW38AKszjP5s8AcifLegvsOxxWvAH3LeLg11VVhKOx9/nbwNwV9F+F6moqsi12rw9ixtB5wHgqcizwywmts747oXVWOs/oYHpzLpdxHdCXT/IXFnIAZtB8FrhchAewuQxfU2WFCFuDng+Mk0v4HnCmVtN0OqqLEfkX1iC6ckw7F74Y5hj0PgnGLIXnr+royHkK1dmIzKC+UToTa5g/ENIzvpOtwMyg58lEVrQXUBExn96E5dHo5tQCvEjIj9heHoVxVeU1Ee7E0n8ANgl6UNCzIMnXL1Lt6Vyuqs8EeTTMiojvwuPhnX0ea5xH+ZNBPiPoj25iTwX5c5g/fx+dwlPh3Aewxs59yTWeC2ka0yU2TA7GRkDjqqI9yXhqJ91HI+glYF7yDOZSHeVakMjTNF2C6owgfyGRgzVaX0dkNjaBfjxmxMY8M5tyd4/e2KpZsaPgT1jHx/exFcl2wzq9hmONJ7C02wHrTBuHlRFlXIM1YGvzWkX2AH6l+zMLm49zPVaGxud0LWYkavL7PKrzeF5NdO2p+/N5oA8VeRftegNVN/r/ploeASB31vjxH6wX6xeCns2BQ3V/vkZFTgIux8rki5nCMCoygo14hFncjBnnXfaO6DYiO4eEuZiwAuGEYxk4tz+XrzhVLgdo+yDMncJBE47ls/P7c8GyU+UCgJYPwfwrGIV19m2KGTX/ojr3IXbgRWI+Wkl12gBYWbYtVnetAPano+7iDJ3SMc3ho9ROUSjbS2km1lk7B2vQ/5kk76VlQmjIP4V1Ut6PdZTfmOghyHtT7diM8ujV89/h2ArMCvpJZC3YFITZYmVmlDdLC7XtgflUF3KYl8hjmRDfgy+RLIeuqktDW2JXqu2BL6vq4lCGboEZWIOxzoPY+VhD2M/pWazcmEpjc4WL6q6nsFGRqdiiF79uQA9Y+/V1qt5a2bqr3gIWMfxFVEdzUvl3qN2XMcq/RnUl3DJmYHnveDqP1BUxE8uHz2P5d7/k2rtgaVd3hGpd2Zj1EhFZhQ3z74tFfA71H7DTNWLFviA5jpDGl44EIAyrD8zoifpnhO9x7ki9XvcYXrCGYAw/LRzjRN2nM+HBXoAYviWJR4xToUEUJi3OxAq0OIQcV4yZgTXmo3xE0LWaaqGxsEx/GcHFYSKWhquBp1V5VZXFIuyN9Rw/T/lyucidFpeRfWD5G7BoNR/Xdj5RUvmdBlyu2jGqBkC/45d/dd+t//Sxfba4+4N9Nli5atnrA875RntH+Art+uWaC09hIbai12pgHj/kVdr1O1qR1mfnTjrnkjtP2eJfC8dvP3rYiy/+5v6jVWTTTbHC+/vYKOw4rPEVlzuNlYilqeorL4SVqeRU0ZU/D/dwlcQewwVJ+AGIDKB2YYyUGeEYXUFGUB39SPVA155nzKfRXSAa6C3UVhqN5JfTsUbySKwB8Tqd8/VCrFcvT142oph992N88sqEIcn9ZN/xEdg9H0K6Spv1mA/PCd9CNY26vLGvXYJewC6cAiK0A8+p8lcsP92bBI0NyrjHSSSWCS/nyEeSX4ZsEeSLqU7sjnrGAS9he6nE6w5GZGgY3chyG9bpcCsVuZEwkTzMG3s/8E7VTosHxLRrzO2kXZ+mIt/FjB2w9w7M8PodcBrtqsn8wqi/jXSj6XZ9hYocgzV+BmKGFlTkq5hHwBmYgRL1PImVB/3JuL7nbspckcOxDpTTMYN6hLkIyo0hLe4DHuFbjATeSbsuZu3yFawz6RhEzkL1meeTMqrjvq6AXPnlgLAXcItqx6hDLB/GUW08guWjidg80XTxgqcxN+Q3RJiJzUWOddTQ8Mz+Rf6IdREzMIMojm6MoGoQpWVF3xBmGmYQZcuaGeEYFy1oycj7ZOTpu5aWvx1yVV0mIsvpWrmcVz62hHjkyWdiHa8DyL+3NmrbA4uDfIuMPLvyZso0bNS1mWcDad1V1QP5CxmU6ekVdGX1xLK+nkEUww8Nn7goR5w7P5Ba99ZnsTqsL/W9XeLK1E9j97VbvfCBGeGY5t8Y111o0G1uXTGI/oFZvUdjvR5XA18N7nROz9OC9QDG9F2AvSSNLh2Z6oFqQZY2fqYWhC3iMcKa/pnw/6D6MnWgqovEevQ3z4RvSeIT41Tv2lOpLVRiY2kqtcslx4L65cRwjJu9NbqvANAxh6WyAav+sjlPTp3BxFXLGDiQUBipMl9OlTM77YhuLi79IWyo165aZwf1PAZQWxkA8Prqfh+87dFDdrnt0UO+jBkq8g37ayhxZR1rwFxDuw7GenCmhhXttgV+REWmAF+fPPK5Pc855iv7h3O/e177F4bJB/UdwCuqfK02MRgBLKSafvWeWSzssvluBLU9rCl5+XEolu8766nIicB7dX9+TEUuAK6nXe8sidNU7JlkXXpaqBpH8RqlnQOKvPgcE598is1e2pZ/fniszlkpkpuvdyA/v5fpbwGWqeryJPxgqr3UCzPHjQvkIzDjI85rjGyINQTzns299AyXAa1coq1Y4yWWDbOorugFNhK1LflpNBp7x7PyrQrCt5TIVyjc0ktoA4ZfzfsWvY9r7xYYLkK/cK03sHR5RlWXsb0cxmaczRg2YzE3M5YbqZZ9nd5NitKuIqcCRyb59Fe0690iHCCs3vLQ7W+9ZsGSluVTn939H4pIuL+zgzH0fqyn+rOYgZa/0We7/kFOlYkAerHGPfAOAW6nXW+mIrsD36Eie9OuK6jIAwR//gY4AHiGdr2cigwG/hAa8wdibskb067LwyhSR2edCC3BIB4HvBg2GF2z2HLZR2B1xTBspdjcDdvrsITqs06ZTV8eoCITgd4M4WEW00fQzwPnYovZvAy6GNgyFJZTqV2cqQWr1+/FDMpGmUrtiF7s+IPid/nUAj0pI4rkYaRpRNQfDJ9lVDsemynXimghWRo80dMnR/+mYQTnb9ioW5ap1DbQowE1laobW5SXcS+291SjFLWlmi1PH8Y6h2K7P+r5O/l1VxEzMSO+ZhVLVX1VRB4jM9cvLMd+H3GecmPcS+OGHlganZb8TtPouM7B82l0ouQaRVXPVdWNVLVfOB4bVmNz1gwt2O7Q2QKv2R6YbK/yy4l8BtWeBKiT11R1BckiEzF82GPqroLTUjfNdBPWvJ6fMrLunr1K5Hn6e5O/tG8hiryhyB9X0WfXaWzztqUM+owixyIFq01VZNCySwdc+uIro857fM4WR89f3HL2wiUbHt/MNRPuA94nwhYiDBGxFR5V+ep0tvzyQ+zw8fvY/WsXc0o0ru4B3ktFJlDdHwPgjBWr+uqCi1qumbeo9RvLV/Yb8tKrIxX4zN7/YNfjprH4+GnM/sBjfAAzsJ4D2uL1RGoK5mya9g+rz+XRghnJryXho7yIqdQul5rOB4vXtuWKN2JjzK33h7Tr6dgckvJ9FNp1EdVFVLJxbXjEMoywXDWJGY8fwm13jOWF68J8hSI9zenPDw82x2xpxlCCzgZR2unxR+i0WEY2TRdjlXALViG/QDc5cJvbz9918tQXD9v+lq8dvsNvzzp4uz9YQ071GFSvlFNF5VRRVC9A9VSKy4SekA9rZd69vdC9sQbl5GO4pq0X+g5Bl2IjqLHhoEBvRAbzKO/hN1zNjzmfX3It32Lf59loITYifLoIG4owRqRjZPwesm44FRmLzb/4Xsinf6KaT3+u9Lrnlofffszfn9n9BFV+HeZ9PQy8K4wMbUacM9Suy7Hn2ShnAgdQkV8CX6C69w7YggCN8mNgFRW5GXPh3ZPqiHkvqo236cC+IkwU4THgNC7Rw0L4YXWvIjIsHLuzD9bHsXLnz1jD+MSwjHaz/Bk4QoQjRdhcJDyDKczgF5yAuWBvw09ZhOpxmOG1nSrHq/JpVb4aViOF4rrrd03G6RYSg5Nq+biaqvtvWs7elgkf+Qe17sYxPk9Tu7l3L6zO7E1++TWiQN4sXSk3i/LvzZnfUkdeRDPvB3Suu6L+v9HE/kxhvnv6jkuQL8LmszWqRym+h2blRTQb/g/U1kUx392aE7YQaaJT2/kPQaTzvg+O4ziO4ziO859K2Xz9dWKEyHEcx3Ecx3EcZ23gI0SO4ziO8//bswMZAAAAAGH+1oH0W7QA2HKIAACALUEEAABsCSIAAGBLEAEAAFuCCAAA2BJEAADAliACAAC2AnIoDhj5Sj+hAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 864x108 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dense Neuron 20\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x108 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dense Neuron 38\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x108 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "def get_consensus(pwm) :\n",
    "    consensus_pwm = np.zeros(pwm.shape)\n",
    "    for i in range(pwm.shape[0]) :\n",
    "        j = np.argmax(pwm[i, :, 0])\n",
    "        \n",
    "        consensus_pwm[i, j, 0] = 1\n",
    "    \n",
    "    return consensus_pwm\n",
    "\n",
    "#Plot average consensus PWM sequence logo per optimized objective (Experiment 'Alien2 Isoforms')\n",
    "\n",
    "pwms = alien2_pwms\n",
    "cuts = alien2_cuts\n",
    "\n",
    "for obj_index, sequence_template in enumerate(sequence_templates) :\n",
    "    \n",
    "    print(\"Dense Neuron \" + str(neuron_objectives[obj_index]))\n",
    "    \n",
    "    cons_pwms = np.concatenate([np.expand_dims(get_consensus(pwms[obj_index][k, :, :, :]), axis=0) for k in range(pwms[obj_index].shape[0])], axis=0)\n",
    "    \n",
    "    pwm = np.expand_dims(np.mean(cons_pwms[:, :, :, 0], axis=0), axis=0)\n",
    "    cut = np.expand_dims(np.mean(cuts[obj_index][0, :, :], axis=0), axis=0)\n",
    "    iso = np.expand_dims(np.sum(cut[:, 65:95], axis=-1), axis=-1)\n",
    "\n",
    "    plot_seqprop_logo(pwm, iso, cut, annotate_peaks='max', sequence_template=sequence_template, figsize=(12, 1.5), width_ratios=[1, 8], logo_height=0.8, usage_unit='fraction', plot_start=70-60, plot_end=76+50)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dense Neuron 25\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x108 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dense Neuron 33\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x108 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dense Neuron 20\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x108 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Dense Neuron 38\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x108 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Plot average (pooled) PWM sequence logo per optimized objective (Experiment 'Alien2 Isoforms')\n",
    "\n",
    "pwms = alien2_pwms\n",
    "cuts = alien2_cuts\n",
    "\n",
    "for obj_index, sequence_template in enumerate(sequence_templates) :\n",
    "    \n",
    "    print(\"Dense Neuron \" + str(neuron_objectives[obj_index]))\n",
    "    \n",
    "    pwm = np.expand_dims(np.sum(pwms[obj_index][:, :, :, 0], axis=0), axis=0)\n",
    "    pwm[0, :, :] /= np.sum(pwm[0, :, :], axis=-1).reshape(-1, 1)\n",
    "    \n",
    "    cut = np.expand_dims(np.mean(cuts[obj_index][0, :, :], axis=0), axis=0)\n",
    "    iso = np.expand_dims(np.sum(cut[:, 65:95], axis=-1), axis=-1)\n",
    "\n",
    "    plot_seqprop_logo(pwm, iso, cut, annotate_peaks='max', sequence_template=sequence_template, figsize=(12, 1.5), width_ratios=[1, 8], logo_height=0.8, usage_unit='fraction', plot_start=70-60, plot_end=76+50)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python [conda env:aparent]",
   "language": "python",
   "name": "conda-env-aparent-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}