tutorials/Supplementary Appendix B - Export model to Reading In the Dark.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from core.models import Projection, DiagonalQuadraticForms, MLModel"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "import torch\n",
    "import pickle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import seaborn as sns\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "def print_hist(data):\n",
    "    x = data.view(-1).abs()\n",
    "    # the histogram of the data\n",
    "    n, bins, patches = plt.hist(x, 50, density=True, facecolor='g', alpha=0.75)\n",
    "    plt.xlabel('Weight amplitude')\n",
    "    plt.ylabel('Probability')\n",
    "    plt.title('Weight amplitude distribution')\n",
    "    #plt.axis([40, 160, 0, 0.01])\n",
    "    plt.grid(True)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "#par2\n",
    "proj = [[3, -5, -3, -1, 0, 3, -3, 0, 2, 2, 0, 1, -2, 2, 3, 0, 1, -1, -1, 2, 0, 3, -2, 1, 1, 0, 0, 2, 1, -1, 0, 1, -2, 3, -3, -3, -1, 2, -4, -1], [0, -1, 0, 0, -3, 3, 1, 0, 1, 4, 3, -3, 4, 0, -3, -4, 1, -1, -1, -1, -1, 3, -2, 1, -3, 0, -2, 2, 0, -2, 1, 0, -3, -3, 0, 1, 2, 3, -2, 0], [1, -1, -1, -1, -2, -3, -3, -1, 1, -1, -1, -2, 4, -1, -3, 3, -1, -3, -2, -1, -1, 3, 0, -3, 0, 2, -1, 1, -4, -1, -1, -1, 1, 3, 2, 1, 2, -2, -2, -3], [3, -2, -3, 4, 0, 0, 1, 1, 2, 1, -3, 0, 3, 0, 0, 2, 3, 4, 3, -2, 0, 3, -4, -3, 3, -1, 0, -1, 2, 2, -2, -4, -4, 2, 1, -2, -3, 0, -3, -1], [0, -5, 1, 0, -2, 0, 3, -2, 0, -3, -2, -4, 0, 3, 3, -3, -3, -4, 0, -2, 1, 0, -4, -3, 0, 2, 2, -2, 1, 3, -3, 3, 0, -2, 0, 2, 1, 4, 1, -1], [2, 0, 0, -1, 4, 1, 0, 0, 0, 2, 4, -3, 4, 0, 2, 1, 4, 0, 1, 3, -2, 0, 0, 3, 3, 1, 0, 2, 3, -1, -2, 3, 3, 1, -3, 3, 4, -1, 0, 0], [1, -6, 0, -3, 2, 3, -3, -2, -2, 4, -3, -2, 1, -3, 1, -4, -3, 0, 2, 0, -2, -2, -1, 1, -1, -3, 0, 2, -2, 0, -1, 3, 0, 4, 4, -2, -1, 4, -3, 0], [1, -4, -1, 3, 2, 0, -3, 0, -2, 0, -1, -4, -4, 2, -3, -2, -1, -4, 3, -3, 0, 1, 3, 3, -4, 2, -3, -1, 0, 4, -2, 0, -2, 3, 0, 1, 1, -1, 2, -1], [1, 0, 0, -4, 0, 0, -1, 1, 2, 3, 1, -2, -1, 0, 1, 2, 3, 3, -3, 0, -1, 0, 2, 0, -3, 0, 2, -2, 2, 1, 0, 3, 1, 0, 3, -1, -3, 4, -4, -1], [0, -5, 1, 0, -3, 2, 0, 3, 0, 0, -1, 1, -1, 4, -1, 0, 0, 2, 1, 4, -2, 0, -2, 1, 3, 0, 3, 2, 1, -1, -3, 0, -1, 2, -4, -4, 4, 0, 1, 3], [0, -2, 0, -1, -3, -3, 3, 1, 2, 2, 2, 1, -1, -2, 3, 0, 4, 3, 1, -3, -2, 1, 1, 1, 0, 4, -3, 1, 1, 4, 3, -4, -3, 1, -2, -5, 0, -3, 2, 0], [5, -2, 0, -3, 3, 4, -4, -1, -4, 0, -3, 0, 0, -3, 2, 2, -3, 0, 1, 1, -3, 3, -4, 0, -1, 0, 3, 2, 1, 0, 3, 1, -2, -2, 0, -5, -1, 1, 0, -3], [5, -3, 0, -4, 2, 3, -1, -5, -1, -2, 0, -1, 2, 3, 1, -1, 0, 3, 4, 4, -2, 3, -2, 0, -3, 0, 2, 0, 3, 1, 2, -1, 2, 1, 1, -2, 3, -4, 3, 0], [-1, 0, -3, 1, 2, -4, 0, 0, -2, -2, 0, -4, -2, 2, 0, -2, -1, -3, -3, 4, 0, 2, 0, 0, 2, 4, 2, -2, 0, -2, 4, -4, -2, 2, 2, 2, 0, -3, 0, 2], [-1, -4, 2, -4, 2, 3, 0, 1, 4, -1, -1, -2, 1, -2, 2, -3, 1, 1, -3, 1, -3, 0, 0, 0, -1, -1, -3, -1, 4, 0, 1, 3, 2, 0, 0, -5, 0, -2, -3, -3], [1, -5, -2, 3, 0, -3, 3, -1, -4, 3, 0, -1, 3, -1, 0, -4, -2, 3, -4, 0, -2, 1, 0, -2, 0, -4, 1, 0, -3, 4, 3, 3, 0, -3, 0, -4, -2, 3, 0, -3], [4, -4, -3, -4, 0, 0, 4, 0, -1, 1, 0, 0, 3, 3, -2, 0, -2, -2, 0, 4, 0, 3, 2, -3, -3, 4, -1, -3, 2, 1, 0, -2, -3, 1, -3, 3, 0, -2, 4, -3], [3, 1, -1, 0, 1, -2, 0, -4, -4, 1, 0, -4, -1, -3, 3, -4, -3, -3, -1, 0, -3, 2, 0, -2, -3, -2, 2, 0, -3, -3, -2, 3, 0, -1, 2, -1, 2, 3, 2, 2], [5, 0, 0, -3, 1, 0, 0, -1, 1, 4, -1, -3, -2, 0, -2, 2, -1, -1, 2, -2, 3, 0, 1, 1, -2, -2, 1, -1, 1, 0, 3, -5, 2, 1, 4, -1, 2, -3, 3, 5], [3, -5, -1, 1, -2, 4, 2, -3, 4, -4, 1, -2, -1, 3, -2, -1, -2, 4, -3, 1, -1, -1, 3, 0, -1, 4, 2, 3, 1, -2, 0, 1, 1, -1, 0, 1, -2, 1, 0, 4], [2, -5, -1, -3, 0, 0, 0, -3, -2, 0, 2, 0, -4, -2, -2, -3, -2, 0, -1, 0, 0, 2, 3, 0, 1, 1, 0, 0, 4, 2, 0, -4, 1, -3, 4, 0, 0, 3, 2, 3], [4, -3, 3, 0, 4, 2, 0, -3, -1, 0, 3, 1, -4, 0, 1, 0, -4, 0, 0, 0, -3, 0, -1, 3, -4, 0, 1, 2, 2, 0, -2, -4, -3, 3, 1, 3, -3, 3, -3, 2], [0, 0, 0, 1, 0, 2, 3, 1, 3, 2, -2, -4, 3, 2, 4, -4, -1, 3, 2, 3, -4, -1, 0, 4, -1, 1, -4, 0, -3, 1, -2, 0, -4, 4, 1, 2, 2, 0, -2, -2], [-1, -3, -1, -3, 4, 2, 3, 3, 3, -3, 2, 0, 0, 4, 1, -1, -4, -1, -3, -2, -4, -1, 1, 3, 1, -2, 3, 0, 1, 1, 1, 0, -1, 3, 2, -1, 0, 4, 0, 0], [-2, -2, -2, 3, 1, -2, -3, 3, -3, 2, 0, 0, 2, -2, -3, -3, -3, -3, 1, 3, -3, 0, -4, 1, -2, 3, 3, 2, -2, 0, 1, -1, -3, 0, 4, -1, 3, 0, 2, -1], [0, -2, -3, 0, 0, -1, -3, -4, 0, -1, 2, 1, 2, -2, 2, 0, 1, 4, 2, -3, 0, -2, 1, -2, -1, 0, 2, 2, 1, -1, 3, -1, 0, -2, -2, -3, 1, 0, -1, 1], [-1, 1, -1, -2, -2, 0, 2, 3, 4, -2, 2, -2, 3, 0, -2, -2, -3, 1, 3, 2, 0, -3, -5, 0, 1, 0, -2, -2, -3, 1, -1, 2, 0, 2, -3, -4, 0, -4, 0, 0], [-3, 0, -2, -2, -4, 1, 0, -2, 0, -2, -1, 3, 4, -2, -3, 3, -1, -3, -4, 2, -1, 2, -1, 0, -1, 4, 1, -3, 1, -3, 2, -2, 0, 1, 0, 0, 0, -4, 2, 0], [4, -1, -4, 0, 3, -1, 0, 1, -2, 3, 4, -4, 1, -3, -3, 0, 3, 4, 2, 2, 4, 1, -1, -1, -2, -1, -2, 0, 0, 4, 4, 2, 1, 0, 1, 1, -1, -1, 1, 4], [2, -1, 2, -4, 4, 3, -2, 2, 4, 4, 4, -5, 1, 3, -2, -2, 3, -2, 1, -3, 1, 2, -4, 2, 3, 0, -3, 1, 1, 3, -3, 0, 0, 1, 1, 0, -4, 1, -1, 4], [0, -6, 2, -4, 0, 0, -3, 0, -3, -1, 3, -1, 2, 0, -3, 2, 0, 0, 0, 0, -2, -4, -2, -3, 2, -1, 1, -3, 4, -2, 4, 2, 0, 4, 4, 0, 2, -1, 3, 0], [1, -1, -2, 3, -2, -3, 0, 1, -2, -2, 4, 1, -1, -1, 1, 2, 0, 1, 1, -3, 0, -1, -4, 3, -2, 2, 0, 0, 0, 0, 2, 0, -3, -3, -2, -1, 0, 1, 4, -2], [-1, 1, 3, 0, 0, 1, 0, -3, 1, 0, -3, 2, -4, 0, -3, 0, 0, 2, -3, 3, -1, -2, -4, -3, 0, -4, 3, -2, -3, 2, 1, 0, -1, 1, -2, -2, 2, 0, 0, -1], [5, -2, 0, 3, 2, 3, 3, -5, 1, 1, 5, 0, -2, -1, -1, -4, 0, 0, -4, 0, 2, -2, -4, -4, 4, 3, -1, 0, -1, 4, 0, 0, -3, 3, -2, 0, 0, 4, 0, 2], [2, 1, 0, -3, 2, -4, 2, -1, 2, -1, 2, -3, -1, 4, 0, 0, 2, -1, 0, -1, 4, 0, 0, 3, -2, 1, -1, -4, -3, 2, 2, -4, -1, 0, -4, -2, 0, 3, 0, 2], [-2, 0, -2, 3, -3, 2, 2, -1, 0, 0, -1, 2, 3, 2, 0, 3, 2, 0, 3, -2, 2, -2, 0, 0, -3, -3, -4, 3, 3, 2, -4, 0, 2, 3, 0, 2, -2, 0, 0, -2], [2, -4, 1, -4, 2, -4, -3, 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2, 3, -2, 0, 0, 4, 3, -3, 0, 1, 0, -2, -4, 0, -2, 3, -2, 0, 0, -2, -1], [4, 0, 0, 4, 2, -4, 0, 2, -1, -2, 0, 2, 1, -1, 3, -2, -3, 3, -1, -3, 0, 0, 0, 0, 3, 3, -2, -3, -3, -2, 2, -2, -4, -2, 2, 2, -3, 0, -1, 1], [0, -3, 0, -1, -2, -3, -1, 3, -1, 0, -2, 3, 0, 0, -1, 3, -3, 3, 2, 1, -2, -3, 2, -3, -2, 1, 2, -1, 0, 0, 3, -3, -4, -3, 0, 0, -1, -2, -1, -2], [0, 2, -4, -1, 2, 1, -1, -4, 4, -2, 0, 2, 0, 0, 1, -3, 0, 0, 1, 0, 3, 2, -3, 1, 4, 3, 1, -3, 0, 4, 0, 0, 1, 0, 0, -4, -3, 3, 3, 0], [-1, -3, -4, 0, 4, 1, 0, -2, -3, 2, 0, 1, 0, 3, -3, -2, 1, 4, 0, 2, -2, 0, 2, -2, 4, -2, -3, -1, 0, 4, 0, 3, -4, 4, 0, 2, -2, 4, 3, -2], [2, -5, -1, -3, 0, -3, -3, 0, 3, 3, 3, 1, 3, -3, 0, 2, -2, 3, 3, -3, -4, 1, -1, 2, 0, -1, 0, 3, -3, 0, -3, 0, -4, 1, -1, -2, -1, 4, 2, -3], [0, -5, 1, 0, -3, 0, -4, -3, -3, 3, 0, 1, 3, -1, -2, -3, 3, 1, 1, 0, -1, 1, 2, -4, 2, 1, 0, 4, 1, -4, -3, 1, -3, 0, 4, 0, -2, 3, 4, 0], [4, 0, -2, 2, 0, 0, 3, 0, 3, 4, 0, 0, 0, 0, 2, -4, 2, 0, 0, -2, -1, 1, -1, 4, 0, 0, -3, -2, 0, -3, 4, -3, -2, 0, 2, 3, -4, -3, 3, -2], [1, 0, 0, 0, 0, 2, -1, -1, 3, -2, 3, 2, -2, -4, -1, -3, -4, 0, 4, 0, -3, 1, 2, 0, 1, 2, -2, -3, 1, 1, 4, 3, -2, 3, 0, 0, 0, 4, -2, 4], [0, 1, 0, 1, 3, 4, 1, 0, 4, 1, 1, -3, -4, -3, 1, -4, 2, 0, 3, -2, 3, 0, 3, 0, -1, -2, 0, 2, 0, 0, -3, 3, -2, 2, -3, -3, -2, 4, 0, 2], [3, 0, 1, -2, -1, -3, -2, 0, -1, 2, -2, 3, 0, -2, 0, -3, 0, -2, -4, 1, -4, 0, -5, 3, -1, -1, 1, -3, 0, 0, -3, -4, -3, 3, 0, 1, -1, 2, 0, -3], [2, -4, 3, -1, -1, 0, -1, -4, 0, 0, -1, -4, -3, -3, 4, 1, 4, 3, 1, 4, 0, 0, 2, 0, 2, 0, 0, -1, -3, -2, 0, 2, -3, -1, -3, -2, 3, 0, 4, 2], [4, -2, -2, 0, 0, -2, 0, 3, -2, -3, 0, -1, 3, 4, -3, 2, 0, 0, 4, -3, 3, 2, -2, -4, 3, 1, 4, 0, 0, -1, 2, 2, -4, 2, 0, 1, 2, -3, 2, -1], [-1, -3, 0, -2, 0, 2, 2, 0, 0, 3, 4, -3, -2, -3, 2, -2, 3, 0, 3, -2, 0, -1, -1, -4, 3, 0, 1, 0, -2, 3, 3, 2, 3, 0, -1, 2, 2, 1, 1, -2], [1, 2, 0, 4, -3, -3, -4, 0, 3, 0, 0, 2, 4, 0, -1, 3, -2, 2, 0, 1, 2, 0, -2, 3, -2, -4, -3, -1, 2, -1, 0, 1, 3, -2, -3, -3, -1, -2, 3, -3], [1, -2, 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4, -3, -1, 4, 1, -2, -3, 3, 4, -2, -3, -3, 2, 2, 2], [3, -5, 2, 3, 4, 1, 0, -3, 4, 3, 1, -4, -3, -2, -3, 3, 0, 0, 1, 3, 3, 0, -3, 0, 0, -4, -1, 0, -2, 0, 3, -1, -4, -3, 0, -2, 2, -2, 2, 2], [0, -4, -2, -4, 2, 0, -2, -1, -3, 2, 0, -3, 3, 1, 3, -2, 0, -3, -4, 3, 2, -1, -2, 1, -1, 1, 0, 1, -1, 4, 1, 3, -3, -3, 2, 0, 3, 3, -1, 0], [2, -3, 0, -4, 0, 4, 1, -1, 3, 0, -2, 0, -1, 2, 2, -4, -2, 1, 3, 3, 3, -3, 0, 1, 0, 3, -1, 3, -1, 1, 1, 0, 3, 3, 0, -2, -3, -1, -2, -3], [1, 0, 2, -4, -2, 0, 0, -5, 1, -1, 0, -1, 2, -1, 3, 2, -3, 1, 4, 1, 4, 0, 0, 3, 4, 3, 2, 0, 0, 3, -3, 0, -4, 0, -3, 1, 3, 3, -1, 4], [5, -3, 2, 3, 4, 1, -1, -3, -4, -4, 4, 1, 4, -2, 0, -4, 2, 1, 3, 0, -4, 3, -3, 2, 0, -1, 1, 0, 1, 4, -1, 3, 0, -2, -3, 0, -3, -4, -3, 2], [-2, -2, 1, 2, 3, 2, 2, 3, 0, 3, -2, 0, 0, 0, -3, -2, 0, 1, 2, 2, 0, -1, -1, -1, 1, 4, 0, 2, 1, -2, 0, -1, -1, 3, 4, 2, 3, 1, -3, 2], [-2, -3, 0, 4, -3, 1, 3, 2, 1, 0, -2, -3, 0, 1, 2, -1, -2, 2, 3, -4, 0, -1, -4, 3, 2, -2, 2, 4, -1, 0, 2, -4, 2, 3, 0, 1, -1, 2, 1, 0], [1, 0, 2, -4, 2, 0, -3, -2, -2, 1, -3, -4, -1, 3, 2, -4, -4, -4, 0, 4, -4, 4, -2, 4, 1, 0, 0, 1, -2, 0, -2, -3, 2, -2, 4, -3, -2, 3, -1, 0], [1, 0, 3, 2, 2, 1, -2, -3, 1, -2, -3, 0, -3, -1, 3, 3, 0, 1, 0, 3, 0, 0, 1, -1, -3, 2, 3, -3, 0, -4, -4, 3, -3, 1, -2, 0, 1, 4, -1, -1], [4, 0, -2, -2, -2, 2, 3, -2, 0, 2, 1, 3, -4, 1, -3, -4, 2, 0, 0, -2, -2, -3, -1, 0, -2, -1, -1, -1, -1, -1, 2, -1, -2, -1, -1, -5, -3, -4, 1, -1], [0, -3, 2, -3, 0, 0, -1, -2, 0, 3, 0, -4, 0, 0, -2, 3, 1, 1, -2, -2, 2, 1, -4, 4, 0, 0, -3, 3, -4, 0, 2, 0, 0, 0, 0, -1, 0, 3, 1, 4], [5, -5, -3, 0, 1, 3, 0, 0, 0, 0, 0, 1, 0, 1, 0, 3, 1, -2, -3, 3, -3, 2, -3, 2, 4, 4, 4, 4, 3, 2, 3, -1, 1, 2, 1, -3, 0, 0, 2, -4], [2, 1, 3, -3, 2, 0, -2, 0, 2, 0, -2, -1, 0, -1, 1, 0, 3, 0, 2, 1, 0, 0, 0, -3, 2, 1, 2, -3, 0, 0, 4, 2, -4, 3, -1, 2, -4, 1, 3, -2], [2, -3, 2, 0, 0, -3, 0, -1, -2, 0, -5, -2, -5, -6, 0, 3, -1, 0, -3, 2, 2, 1, 3, 0, 4, -3, 0, -3, 1, 1, -2, -3, 4, 0, -1, 2, 0, 1, 5, 1], [0, 3, 5, 4, -2, -10, -3, 0, -3, 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1, 3, -3, 3, -3, -1, 0, -4, -1, 0, 3, 3, -2, 4, -1, 1, 0, 0, 1, -1, 2, 3, 0, -1, 3, 2, 2, 2, 0, -2, 3, 3], [0, -4, -1, -2, 1, 4, 0, 1, -1, -1, -3, -3, -2, 3, -1, 1, 4, 1, 0, 2, -3, 4, -3, -2, -1, -1, 4, 0, 0, -1, 0, -1, 2, 1, -3, -3, -2, -3, 0, -1], [1, -5, -1, 0, -3, 2, -2, 3, -1, 0, 0, -1, 4, 3, 2, 3, -4, -2, 2, -2, -1, 3, 0, 0, 0, -2, 0, 3, 0, 0, 0, -4, -2, -2, 1, -3, -3, 4, -3, -2], [0, -5, -3, 0, -3, 0, 1, -4, 3, -3, -3, 3, -1, 2, -2, 0, 2, -2, 3, -2, 2, 4, 3, 0, 2, 1, 2, 1, 0, 3, -3, 2, -4, 0, 3, -4, -2, 1, -4, 2], [0, 0, 1, 2, 3, 1, -1, 0, 1, -2, 0, -4, -1, 1, 0, 2, 2, 2, 2, -4, 1, 0, -1, -2, -3, -2, -2, -3, 0, 3, 2, 0, 1, -2, -2, -1, -3, 3, 1, 3], [1, -2, 4, 2, 0, 1, -2, 2, -2, 1, 4, -3, 2, 3, 3, 0, 1, 3, 2, 3, -1, 2, -3, 0, -4, 0, 0, -2, -3, 1, 0, -1, -3, 0, -1, -5, -3, 4, 1, 0], [-1, 0, 3, 1, -3, -2, 1, 3, 3, 2, 0, -2, 2, 3, -3, -4, 2, 3, -2, -3, 4, 4, -3, 0, -3, -2, 2, 2, 0, -2, -4, 1, -3, 1, 4, 2, 0, 0, 2, 1], [-2, -5, 0, -2, 0, 3, -4, -4, -2, 4, -1, 1, -1, 4, 3, -2, 4, 3, -4, -2, 2, 0, 1, -3, 4, -4, -1, 2, 3, 0, 2, -2, 2, -1, 0, 1, -2, 0, 2, 4], [4, -4, -1, 2, 2, -2, 0, 1, 2, 3, 2, -3, 2, 0, 2, 1, -2, -3, 0, -3, -2, 1, 3, -1, 2, -2, 3, -3, 0, 0, 2, -4, 1, 4, 0, -5, -2, -1, 2, -4], [2, -3, -1, 2, 4, -1, -3, 1, 2, 2, 3, 3, -2, -2, -3, 2, -2, 4, -4, -3, 0, 3, -3, 2, -3, -2, -2, 1, -4, 0, -2, -4, 0, 3, -3, -2, 4, -4, 1, 4], [5, -1, 0, -4, 0, -2, 3, 0, -3, 1, 3, 1, 3, 4, 0, 0, 0, 0, 2, 2, -3, -1, -2, 1, 4, 4, 0, -1, 2, -3, -4, 3, 0, -1, -3, -4, 3, 0, 0, 0], [1, 0, 0, -1, -3, -2, 0, 0, -2, 2, 0, 1, -2, -3, -1, -1, 2, -2, 0, 2, 4, -1, -1, 1, 3, 0, -4, 0, 4, 2, 1, -1, 3, 0, 2, 3, -2, 3, 1, 0], [1, -4, 2, 1, 0, -2, 3, 0, 2, 0, -2, -4, 2, 2, 1, -1, -1, -4, 0, 0, 2, 0, 2, -1, -3, 0, 0, 3, -3, -4, -2, -4, 1, -2, -2, -4, 1, 2, -2, 3], [4, -3, 1, -1, -1, 0, 2, 3, 2, 0, 0, -3, -2, 2, 0, -1, 3, -3, 3, 0, 0, 0, -4, -1, 1, -1, 0, -4, -3, 1, 1, 2, 4, 0, 3, 0, -2, 1, 0, -1], [6, 1, 0, -2, 1, 0, 3, -3, 0, 1, 4, 0, -2, 0, 0, 0, -1, -4, 0, 4, -3, 2, 3, 4, 4, -1, -3, 0, 1, 0, 1, -2, -3, 2, -1, 3, -1, -1, 4, 1], [3, -6, -3, -2, 1, 0, -5, -1, 0, -2, -3, 0, 3, 3, 3, -4, 1, -3, -2, -2, 1, 0, 0, 3, 0, 1, 4, 0, 0, -1, 0, 3, -4, -2, -1, 0, 1, 1, -3, 2], [0, -4, 2, 1, -2, 0, 0, -4, 0, 0, -4, -5, 2, 5, 0, -5, 1, 2, 0, 0, 1, 2, 1, 0, -3, 2, 3, 0, -2, -1, -1, -2, 1, 0, -1, 4, 4, 2, -1, -4], [4, 0, 3, 4, 0, -4, 2, 0, 1, -1, 0, -3, -1, -3, -6, 0, 3, -5, 2, 3, -1, 4, 1, -3, 2, -4, 4, 3, 0, 1, -3, -3, 0, 1, -1, -3, -4, 0, -2, -4], [7, -8, -2, 1, 1, 1, 1, 0, 0, 0, 0, -2, 3, -1, -2, -5, -1, 0, -2, -3, -2, 0, -3, 3, 3, 1, 2, 4, -3, -1, 2, -2, -3, 3, 5, -3, 0, 0, -1, 0], [1, -1, 0, 0, 1, -1, 0, 2, 2, 3, 3, -1, 0, 0, 1, 1, 2, 2, 1, -2, 2, 1, -1, 4, 1, 0, 2, 0, -3, -2, 2, -1, 0, 1, 7, -3, -4, 1, 2, -1], [-1, -5, 1, 2, -4, -4, 0, 1, 4, 4, 0, -6, 0, 2, 0, -3, -2, 4, -4, 4, -1, -4, 1, 0, -2, -4, 1, 4, 1, 0, 3, -4, 0, 0, 8, -2, -3, 3, -4, 0], [5, -3, 3, -1, -1, 3, -2, -2, 0, -2, -2, -3, 2, 3, 2, -1, -2, -2, -2, 2, 2, -3, 2, 3, -1, -3, 4, -3, -1, 0, -2, -2, 2, 0, 5, -3, 0, 0, -1, 0], [-2, -5, 3, 2, 0, 0, 0, -2, 0, 1, -2, -2, 1, 2, 0, 1, -1, 1, 3, 0, -4, -2, -4, 3, 3, 4, 0, 4, 0, 3, 0, -4, -2, 2, 3, 3, -2, -2, 3, -1], [0, -6, 2, -3, 4, 0, 0, 0, 0, 1, 0, -4, 0, 0, -3, 3, 0, 2, 3, 2, 0, -3, 2, -2, 2, 3, 3, -2, 0, 0, -1, -1, 2, -1, 3, 1, 0, -4, -3, 1], [3, -3, -1, 0, 2, 0, -2, 0, -2, -3, -3, 0, 4, 3, -1, -3, 0, 0, -3, -4, -4, 3, -2, 4, -2, 2, 1, 0, 0, 1, 0, 0, -2, 3, -4, -2, 0, -1, 1, -1], [4, -2, -2, -2, 0, 0, 1, 0, -3, 2, -1, -3, 1, 1, -1, 1, -3, 0, -3, -1, 0, -3, 2, 0, 0, 4, -2, 0, 4, 0, 3, -2, 3, -2, 2, -1, -1, 0, 2, -2], [0, 1, 2, -4, 0, -3, -1, -1, -1, 3, 2, 0, -1, -1, 4, -3, 4, 3, -3, 3, 0, -2, -2, -2, 4, 3, 4, 1, 4, -3, -1, -3, -3, 1, -1, -4, -1, -1, 4, -2], [3, -3, 3, -1, -1, 0, 2, 0, -2, 3, 3, -2, 4, -2, -4, -3, 3, 3, 2, 0, 2, 4, -2, 1, 0, -4, 0, 0, 0, 0, -4, 0, 3, 4, -1, 0, 0, 3, 1, -3], [4, 0, 3, -2, 1, 0, -3, -3, -2, -1, -3, -1, 4, -3, -4, -3, 4, 4, -1, 0, -2, 4, 3, 1, 0, 0, 0, 1, 3, -2, 4, -2, 2, 0, -4, -1, -2, 0, 0, 2], [1, -6, 2, -4, 0, -3, -3, 3, 2, 2, 2, 2, -3, -2, 3, 0, 0, 0, 0, -2, 2, -1, 3, -3, 1, 2, 0, -1, 4, 0, -4, 0, 1, 3, 3, 0, -1, 0, -2, 2], [0, -3, 4, -4, 0, -3, -2, 2, -3, -1, 1, -2, 4, 3, -2, 0, 0, -1, 4, -1, -4, -2, -3, 1, -3, -1, -1, -3, -3, 2, -1, -1, -3, 3, 0, 1, -2, -1, 1, -3], [3, -4, -1, 3, -1, -2, 2, -3, -2, 0, -2, 0, 4, 3, 4, 1, -4, 0, -4, 0, 3, 3, -4, 1, 2, 4, -2, 0, -2, -1, -2, -1, 0, -2, -2, -2, -3, 3, 4, 4], [1, -2, -4, 1, 3, -2, -4, 0, -2, 0, 0, 2, 0, 1, 3, 1, 4, -3, 2, 2, -4, 2, 0, 3, 2, 0, -3, 0, -2, -2, -4, 0, 1, 4, 1, -4, -3, -2, 3, 0], [0, -5, -1, 0, -3, 2, 0, 1, 0, -2, -1, 3, 2, -1, -2, 1, 0, 0, 4, -2, -3, -1, -1, -4, 2, -2, 4, -2, 4, -2, -1, 0, 0, -3, -3, -3, 0, -2, -3, 2], [5, -2, -2, -3, -1, 0, 0, -1, 3, 1, -1, -3, 4, 0, -1, 3, 1, 2, 1, -3, -2, 1, 2, 1, 2, 1, 3, -1, 2, 1, -1, -3, -1, 0, 0, 0, 3, -2, 0, 0], [-1, -2, -3, 1, 1, -1, -3, 2, 1, 0, -3, -5, -3, 3, -2, -4, 0, 0, -3, 0, 3, 3, 1, 4, 4, 1, 4, 3, 1, 1, 2, 0, 2, 1, -1, -2, 0, 4, 2, 2], [4, 1, -2, 3, -1, -2, 1, 1, -2, 1, -1, -2, -1, -1, -3, 0, 3, -2, -2, -2, -2, -3, 2, 0, 0, -4, 1, 2, 3, 0, 3, 2, -3, 4, -3, -1, -3, -1, -1, 2], [-1, -1, 2, 1, -2, 0, -2, 2, 0, -1, -3, 1, 1, -3, -3, -1, -3, -1, 0, -2, 0, 0, -1, 4, 0, -1, -1, 0, 0, 0, 0, 3, -3, 2, 3, -3, 3, -1, -2, 1], [1, 0, 1, -2, 4, 3, -4, 0, 3, -1, -3, -3, -3, 3, -3, 3, 1, -2, -3, 3, 3, 4, 1, -3, 4, -2, -4, 0, 0, -3, -2, -4, 4, -3, -3, 0, 3, 3, 2, 3], [4, 1, 0, -2, 4, 2, -1, -4, -2, -2, -1, -3, -2, 0, -2, 0, -1, 0, 3, -1, -2, 0, -1, 0, -2, 2, 3, 4, 0, 2, -1, 1, -4, 1, -3, -4, 0, 0, 0, -3], [3, 0, -2, 2, 3, 4, 2, 0, 0, -1, 0, -3, 4, -3, 0, -3, -2, 1, 3, 2, 3, 4, 3, -1, 2, -3, 0, -3, -2, -1, 0, 0, 2, 3, 1, 2, -1, -3, 3, 0], [4, 1, 0, 0, 3, 0, 0, 1, 0, 4, -3, -4, 1, -3, 0, -4, 4, 3, 2, -3, -2, -1, 0, 0, -3, -3, 0, 1, -1, 3, -2, 2, 0, -1, 1, -2, 3, -1, 0, 4], [3, -6, -4, 2, -2, -3, -3, 0, -1, 3, 0, -2, -1, 3, 0, -1, -1, 1, -4, 0, 1, -1, -3, -3, 0, -2, -2, 0, 0, 0, -2, -2, -3, -1, 4, 3, -2, 0, 4, 4], [-1, -4, 2, 4, 3, -1, -3, 2, 1, 1, 1, -1, 4, -3, 2, 0, -2, 2, 3, 1, 0, -3, -3, -1, -3, -1, -1, -2, -1, 0, 0, 3, 0, 3, 0, 2, -2, 3, 0, 0], [0, 0, 1, 2, 2, -4, 2, 0, 0, -1, 2, 0, 0, 1, 3, -5, 4, 0, 3, -3, 2, 0, -2, 0, -3, 0, -2, 4, 4, 4, 1, -1, 3, 0, 4, -4, 3, 0, -4, 0], [1, -6, 4, 2, 4, -4, 0, 2, -2, 2, -6, -5, 0, 2, 0, 2, 3, -1, 0, 0, 0, -2, 0, -1, -2, 0, 2, 4, 4, -4, -1, -1, 1, -2, 4, -4, 0, 3, -3, 0], [5, -3, 4, 3, -4, 0, 2, -3, -4, -1, 4, -1, -1, -3, 3, -1, 0, 4, 1, -2, 0, 2, 0, 2, 0, 0, 4, -2, 0, -2, 1, 2, 3, -1, 5, 0, 0, 0, -2, 1], [-1, -2, 1, 1, 0, -3, -3, -3, -3, -3, 0, 1, 1, 0, 2, -2, 0, 1, -1, 0, 3, 2, 0, -3, 0, 2, 2, -2, 2, -1, 2, 2, 3, -2, -2, -1, -4, 0, 0, -3], [5, -2, 4, 1, 1, -1, -3, 0, -1, -3, 0, -3, 1, 1, -3, 2, 2, -1, -3, -3, -1, -1, -2, 2, -3, -2, -3, 1, 2, 1, -3, 2, 0, 4, 2, 1, 0, 2, 1, 1], [0, -3, 3, 3, -4, -4, 0, 2, 2, -3, -3, 0, -2, -2, -3, 0, -1, -2, 0, -2, -3, -3, -2, -1, 4, -3, -4, -1, 0, 0, 4, -2, 0, -1, -3, -2, -1, 1, 0, -2], [4, 1, 0, 2, 1, 4, -3, -1, 3, 0, 4, -3, -4, -3, 4, 0, -2, 0, 0, 0, 1, 3, 1, 0, -3, 4, 3, 0, -1, -4, 0, -3, 3, -1, -2, 0, -2, 0, 0, 2], [1, 2, 4, -1, 4, 1, -1, 3, 2, -2, -2, 0, -2, -2, 0, -3, 0, 3, 3, -3, 3, -3, 3, -1, -2, 2, 3, 4, 1, -2, -3, 3, 1, 0, -1, 0, 0, -2, 2, 2], [0, -3, -4, 2, 1, 2, 0, 1, 1, -2, -1, 1, 2, 0, -4, -3, -2, 3, -1, -3, 0, -3, 0, 1, -3, 1, -3, -3, -1, -3, 0, 2, -1, -1, 0, -4, 2, -3, 0, 0], [-2, 0, -2, 0, 0, 3, 3, -1, -1, 0, -3, 1, 0, -3, 4, -3, 2, 0, 3, 2, 0, 0, -3, -2, 3, -3, -2, -1, -3, 2, 3, 1, 1, 2, 3, 1, 3, 1, 3, 1], [-1, -1, -2, 3, -2, 0, -4, -1, -3, 2, -1, 0, -2, 1, 3, 1, -2, 0, 1, 2, -2, -2, 3, 0, 1, 2, 3, 1, 3, 4, -1, -4, -4, 2, -3, 2, 0, 0, -2, -3], [5, -2, 3, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, -1, -1, -3, -2, -3, 2, -4, 1, 0, 4, 3, -2, 0, 3, 1, 0, 0, 0, -2, -5, 0, 1, 1, -2], [5, -4, -1, 1, 1, 0, -4, 1, -1, 3, 4, -4, 3, 0, 0, 0, 0, 0, -3, 4, -2, 3, -3, 3, 0, 0, -2, -3, 0, -1, 2, -4, -2, -1, 4, 1, -4, 0, 1, -3], [4, -2, -2, -4, 0, 1, -4, 0, 3, 3, -3, 3, -3, -1, 0, -1, 0, -3, 1, 1, -1, -3, -2, 0, 0, 4, 0, -3, 3, 4, -1, 0, 3, 4, 0, 3, -1, 2, 0, -3], [0, -3, -1, -3, 3, 4, -2, 0, 4, 2, 3, 3, 0, -3, 1, -3, -1, 3, 3, 0, 3, 0, 1, 0, 1, 4, -4, 0, -2, 1, -4, -1, 2, -1, 0, 3, -3, -3, 1, 0], [2, -3, 0, 1, 0, 1, 3, 3, 0, 2, 0, -1, 0, 2, 2, -3, -1, -3, 0, -4, -2, 4, -4, 4, 4, -2, 0, 2, -1, -1, 1, -3, -1, -2, 0, 2, -1, 0, 1, 2], [2, 1, 1, 1, -3, 0, -3, 1, 0, 2, 3, 1, -2, -2, -4, 0, 3, -3, 0, -3, -3, -3, -2, 4, 4, -3, -2, -1, -3, 0, -3, 3, 3, 0, 3, 2, -3, 0, -3, 3], [-3, 3, -9, 0, 4, 4, 4, -8, 3, -1, -9, 10, 4, -3, 12, 0, 0, 7, 1, 2, -3, -1, 1, 9, 5, 0, 4, 6, -1, -4, 0, 0, 1, 0, -5, -6, -1, -2, -3, 20]]\n",
    "diag = [[1, 3, 0, 13], [7, 1, -3, 13], [-13, 5, -2, 5], [10, 11, 0, 0], [-6, -2, 7, 5], [10, -11, 1, 2], [8, -1, 3, -10], [-5, 5, -5, 10], [-9, 0, -9, -3], [0, -3, 10, -3], [-9, 8, -4, -10], [13, 4, 6, 10], [5, -5, -12, 3], [12, 11, -2, 0], [11, -2, -4, -9], [1, -8, -7, -12], [0, -2, 12, -2], [1, 7, -1, -10], [-11, 3, 0, -11], [-1, 3, -1, 2], [-4, 6, 0, 0], [-2, -4, -8, 10], [8, 2, -14, -1], [-10, -3, -6, 7], [-3, -2, 13, -1], [4, 0, -4, -2], [-4, -5, -11, 9], [2, 9, 8, -7], [-11, 0, 6, -8], [1, 0, -12, -4], [4, 0, -13, -4], [-9, 5, 9, -7], [7, 10, 1, -7], [0, 3, -9, 6], [-11, 6, 1, -11], [-9, -2, 1, 10], [1, 4, 10, -3], [-1, 3, -7, -1], [-8, -5, 10, 0], [1, -4, 11, 8]]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "#proj = [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 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0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0], [0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]\n",
    "#diag = [[-5, 7, -9, -5, -3, 8, 9, 19, -7, -15], [-1, -1, -1, -6, -7, -11, -5, 24, -7, 17], [-12, -12, -6, 0, 11, -7, -3, -10, 18, 24], [4, -1, 14, 12, -23, -3, -14, 21, -4, -3], [22, -2, 8, 1, -6, -5, -12, -2, -4, 2], [4, -13, -7, 9, -3, 5, 26, -6, -1, -11], [-1, -6, -14, -12, 5, 11, -2, 0, 1, 18], [25, -7, -6, -9, 5, -7, 5, -5, 6, -4], [3, -3, -11, 22, -13, 11, 3, -9, 4, -3], [2, -2, 21, 0, -15, -1, 7, -9, 0, 0], [14, 5, -2, -4, 12, -5, 4, 4, -28, 1], [1, -6, -6, -21, 19, 10, 1, 7, 6, -11], [-2, 3, -6, -4, 25, 1, 1, 2, -9, -13], [17, -11, 12, 2, -15, -8, -9, -6, 4, 17], [9, -3, 4, 15, -12, 19, -4, -16, -7, -2], [4, -4, -12, -7, 2, 21, -9, 1, 7, -3], [-1, 5, 10, -7, 22, -5, -1, 5, -20, -6], [1, 8, 12, -15, 0, -8, -1, -6, 23, -13], [-13, -6, -8, 2, 7, 24, -1, -9, 5, -1], [-8, -4, 2, 16, 3, 17, -17, -20, -1, 13], [-6, -5, -3, 13, -2, -5, 2, -5, 20, -8], [2, 21, 12, -17, 1, -10, 3, -2, 11, -17], [-1, 5, -13, -6, 6, -1, -5, 15, 5, -3], [-5, 5, 16, 13, 1, -13, -5, 9, -10, -9], [-15, -1, 20, 1, 1, 6, 0, 11, -2, -20], [-11, -6, -10, -10, -13, 26, 8, 11, 3, 4], [-9, 9, -10, 12, 10, -16, 5, 1, 1, -4], [-3, -3, 0, 22, -3, -8, 2, -4, -4, 0], [-10, 1, -6, 19, 0, -9, -7, -6, 20, 4], [-2, -7, -9, -6, -20, 26, 16, 4, 2, 1], [-1, 24, -12, -4, 5, -3, 12, -6, -7, -9], [-8, 30, 2, -10, -1, 3, -2, 1, 1, -15], [-2, 0, 6, -17, 3, -5, -11, 14, -9, 19], [4, -1, 5, -7, -1, -19, 13, -1, -2, 10], [-7, -3, 29, -2, 3, 0, 12, -14, -4, -9], [-2, -3, 9, 17, -13, -1, -11, 23, -5, -9], [13, -12, 5, 1, -5, -3, 22, -1, 1, -18], [2, 2, -1, 13, -7, 1, -10, -10, -7, 19], [-14, 1, -6, 8, 18, -4, -10, 3, -14, 19], [-1, 19, -1, -12, 14, -3, -9, -4, 8, -13]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(785, 40)"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(proj), len(proj[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(40, 4)"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(diag), len(diag[0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "print_hist(torch.tensor(proj))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "print_hist(torch.tensor(diag))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "assert len(proj) == (784 + 1)\n",
    "assert len(proj[0]) == len(diag)\n",
    "assert len(diag[0]) == 4\n",
    "model = (proj,diag)\n",
    "\n",
    "with open('mnist/objects/ml_models/torch_dump.mlm', 'wb') as f:\n",
    "    pickle.dump(model, f)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python (Pysyft)",
   "language": "python",
   "name": "pysyft"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}