Rotation-invariant representation.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "447d0107",
   "metadata": {},
   "source": [
    "### Problem: https://youtu.be/g9n0a0644B4"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "be2511ea",
   "metadata": {},
   "source": [
    "This method is where the magic happens:\n",
    "```python\n",
    "def calc_feature_mtx(shape : np.array)\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "cf277e9e",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "cd39c7ad",
   "metadata": {},
   "outputs": [],
   "source": [
    "# the neighbors to be visited for each cell, in order (as (x, y) deltas)\n",
    "#NEIGHBOR_DELTAS = [(-1, -1), (0, -1), (1, -1), (1, 0), (1, 1), (0, 1), (-1, 1), (-1, 0)]\n",
    "NEIGHBOR_DELTAS = [(-1, -1), (0, -1), (1, -1), (1, 0), (1, 1), (0, 1), (-1, 1), (-1, 0), (0, 0)]\n",
    "\n",
    "def draw_shape(shape : np.array):\n",
    "    fig, ax = plt.subplots(figsize=(1, 1))\n",
    "    \n",
    "    xsize = shape.shape[1]\n",
    "    ysize = shape.shape[0]\n",
    "\n",
    "    ax.set_aspect('equal')\n",
    "    ax.set_xlim(0, xsize)\n",
    "    ax.set_ylim(0, ysize)\n",
    "    ax.invert_yaxis()\n",
    "\n",
    "    for y in range(ysize):\n",
    "        for x in range(xsize):\n",
    "            if shape[y, x] != 0:\n",
    "                ax.add_patch(plt.Rectangle((x, y), 1, 1, color='green'))\n",
    "\n",
    "    ax.grid(True, linestyle='-', linewidth=0.5)\n",
    "    ax.set_xticks(range(xsize))\n",
    "    ax.set_yticks(range(ysize))\n",
    "    \n",
    "    plt.show()\n",
    "\n",
    "def calc_feature_mtx(shape : np.array) -> np.array:\n",
    "    \"\"\"\n",
    "    Calculate the feature matrix for given shape.\n",
    "    The shape must be a 2-dimensional numpy array\n",
    "    with integer values 0 or 1.\n",
    "    \"\"\"\n",
    "    shape = np.pad(shape, 2)\n",
    "\n",
    "    xsize = shape.shape[1]\n",
    "    ysize = shape.shape[0]\n",
    "    \n",
    "    feature_mtx = np.zeros((ysize - 2, xsize - 2), dtype=int)\n",
    "    \n",
    "    def calculate_cell_value(x, y) -> int:\n",
    "        cell_value = 0\n",
    "        for dx, dy in NEIGHBOR_DELTAS:\n",
    "            #bit_value = (shape[y + dy, x + dx] >= shape[y, x])\n",
    "            bit_value = shape[y + dy, x + dx]\n",
    "            #print(f\"({x + dx},{y + dy}): {bit_value}, {(cell_value | bit_value):09b}\")\n",
    "            cell_value = (cell_value | bit_value) << 1\n",
    "        return cell_value >> 1 # undo the last, extra shift\n",
    "\n",
    "    # for each cell, calculate the cell value (skipping the edges)\n",
    "    for y in range(1, ysize - 1):\n",
    "        for x in range(1, xsize - 1):\n",
    "            feature_mtx[y - 1, x - 1] = calculate_cell_value(x, y)\n",
    "\n",
    "    return feature_mtx"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cf9d1d59",
   "metadata": {},
   "source": [
    "---"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "0fc0d428",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "################################################################################\n",
    "# Test shapes\n",
    "################################################################################\n",
    "# - To add new shapes, define it as a new variable and\n",
    "#   add it to the base_shapes list.\n",
    "# - 1 represent a \"cube\", 0 represents empty space.\n",
    "# - You also have to say how many rotation symmetries\n",
    "#   it has (every 90 degrees, so between 1 and 4).\n",
    "\n",
    "base_shape0 = np.array([\n",
    "    [1, 1],\n",
    "    [1, 0],\n",
    "], dtype=int)\n",
    "\n",
    "base_shape1 = np.array([\n",
    "    [1, 1, 1, 0],\n",
    "    [0, 0, 1, 1],\n",
    "    [0, 0, 1, 0],\n",
    "    [0, 0, 1, 0],\n",
    "], dtype=int)\n",
    "\n",
    "base_shape2 = np.array([\n",
    "    [1, 1, 1, 1]\n",
    "], dtype=int)\n",
    "\n",
    "base_shape3 = np.array([\n",
    "    [1, 1, 1, 1],\n",
    "    [1, 0, 0, 0],\n",
    "], dtype=int)\n",
    "\n",
    "base_shape4 = np.array([\n",
    "    [1, 1, 1, 1],\n",
    "    [1, 1, 1, 0],\n",
    "], dtype=int)\n",
    "\n",
    "base_shape5 = np.array([\n",
    "    [1, 1, 1, 1],\n",
    "    [1, 0, 0, 1],\n",
    "    [1, 1, 1, 1],\n",
    "    [1, 1, 1, 1],\n",
    "    [1, 0, 0, 1],\n",
    "    [1, 1, 1, 1],\n",
    "], dtype=int)\n",
    "\n",
    "base_shape6 = np.array([\n",
    "    [1, 0, 0, 1],\n",
    "    [1, 0, 0, 1],\n",
    "    [1, 1, 1, 1],\n",
    "], dtype=int)\n",
    "\n",
    "base_shape7 = np.array([\n",
    "    [1, 0, 0, 0],\n",
    "    [1, 0, 0, 1],\n",
    "    [1, 1, 1, 1],\n",
    "], dtype=int)\n",
    "\n",
    "base_shape8 = np.array([\n",
    "    [1, 0, 0, 0],\n",
    "    [1, 0, 0, 0],\n",
    "    [1, 1, 1, 1],\n",
    "], dtype=int)\n",
    "\n",
    "base_shape9 = np.array([\n",
    "    [1, 1],\n",
    "], dtype=int)\n",
    "\n",
    "base_shape10 = np.array([\n",
    "    [1, 1],\n",
    "    [0, 1],\n",
    "    [1, 1],\n",
    "    [1, 0],\n",
    "    [1, 1],\n",
    "], dtype=int)\n",
    "\n",
    "base_shape11 = np.array([\n",
    "    [1, 1],\n",
    "    [1, 1],\n",
    "    [1, 1],\n",
    "    [1, 0],\n",
    "    [1, 1],\n",
    "], dtype=int)\n",
    "\n",
    "base_shape12 = np.array([\n",
    "    [0, 1],\n",
    "    [1, 1],\n",
    "    [1, 1],\n",
    "    [1, 1],\n",
    "    [1, 0],\n",
    "], dtype=int)\n",
    "\n",
    "base_shape13 = np.array([\n",
    "    [1, 1, 0, 0, 0],\n",
    "    [1, 1, 1, 0, 0],\n",
    "    [0, 1, 1, 1, 0],\n",
    "    [0, 0, 1, 1, 1],\n",
    "    [0, 0, 0, 1, 1],\n",
    "], dtype=int)\n",
    "\n",
    "base_shape14 = np.array([\n",
    "    [0, 0, 1, 1, 1, 0, 0],\n",
    "    [0, 1, 1, 1, 1, 1, 0],\n",
    "    [0, 1, 0, 0, 0, 1, 1],\n",
    "    [1, 1, 1, 1, 1, 1, 1],\n",
    "    [0, 0, 0, 0, 0, 1, 1],\n",
    "], dtype=int)\n",
    "\n",
    "\n",
    "################################################################################\n",
    "\n",
    "# list of tuples: (number of rotation symmetries, the base shape)\n",
    "base_shapes = [\n",
    "    (4, base_shape0),\n",
    "    (4, base_shape1),\n",
    "    (2, base_shape2),\n",
    "    (4, base_shape3),\n",
    "    (4, base_shape4),\n",
    "    (2, base_shape5),\n",
    "    (4, base_shape6),\n",
    "    (4, base_shape7),\n",
    "    (4, base_shape8),\n",
    "    (2, base_shape9),\n",
    "    (4, base_shape10),\n",
    "    (4, base_shape11),\n",
    "    (4, base_shape12),\n",
    "    (2, base_shape13),\n",
    "    (4, base_shape14),\n",
    "]\n",
    "all_shapes = []\n",
    "\n",
    "# rotate each base shape to make rotated variants of the same shape\n",
    "for rotations, base_shape in base_shapes:\n",
    "    variants = []\n",
    "    for k in range(0, rotations):\n",
    "        variants.append(np.rot90(base_shape, k))\n",
    "    all_shapes.append(variants)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "id": "0fe9091e",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "All variants of shape 0:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "All variants of shape 1:\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAHMAAAB+CAYAAAAX3S44AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAI+0lEQVR4nO2dTUxT6RrH/y03LV4pDYgUG6gYnRg/QrkDlhATBxUlLECSWbizwdU1rYlTV7gQXTh1Y4IxDTHByIpIdFJMTABNlRISPqQMiYqQIXIDC2klaGk7CqY9d8G1N8zQ0rfnA/Py/BIW53D6Pw/5cT56znPOqxIEQQDBBerNLoCQDpLJESSTI0gmR5BMjiCZHEEyOYJkcgTJ5AiSyRFpyXS5XCguLkZmZiYqKiowMjIidV1EGjDL7OzshMPhQHNzM8bGxmA2m1FTU4NAICBHfQQLAiMWi0Ww2Wzx6Wg0KhiNRsHpdLJGERLzDxbxKysr8Pl8aGpqis9Tq9Worq7G4ODgup9ZXl7G8vJyfDoWi2FxcRE7duyASqVK819wayEIAkKhEIxGI9TqxDtTJpkLCwuIRqMwGAxr5hsMBkxOTq77GafTievXr7OshkjA3NwcCgsLE/6eSWY6NDU1weFwxKeDwSBMJhPwCwCt+PzLxZdx6z+3xAfJkFV/vB6lBaWis5aWllBUVASdTpd0OSaZeXl5yMjIgN/vXzPf7/ejoKBg3c9otVpotetY0wLIZFn7+mi3aSXJkSMrS5eF7OxsaQKBDQ9LTGezGo0GZWVl8Hg88XmxWAwejweVlZXpVUhIBvNu1uFwwGq1ory8HBaLBS0tLYhEImhsbJSjPoIBZplnz57Fhw8fcPXqVczPz6O0tBQ9PT1/OykilCetEyC73Q673S51LYRI6NosR5BMjiCZHEEyOYJkcgTJ5AiSyREkkyOYZfb396Ourg5GoxEqlQpdXV0ylEWkA7PMSCQCs9kMl8slRz2ECJgv59XW1qK2tlaOWgiR0DGTI2TvNPhrD9DS0pLcq/xueLvwVpKccCic0nKyy0zUA3S5+PLqnX2R/PDPH3BlzxXROXJkTfw+gQlMiM5a/ry88UIAVIKQ/jsNVCoV3G43GhoaEheyzpZZVFQE75QXWbqsdFcdxz/lh2G/+HupbxfeYuL3Cfw686voLAC4sueKZFn4AuDmav9UsjYU2bfMRD1ApQWlkvTHDM8O48ddP4rOASDJVrSZMMsMh8OYnp6OT8/MzGB8fBy5ubmrXXfEpsEsc3R0FMePH49Pf2ujtFqtaG9vl6wwgh1mmVVVVRBxmCVkhL5ncgTJ5AiSyREkkyNIJkeQTI4gmRxBMjmCZHIEk0yn04kjR45Ap9MhPz8fDQ0NmJqakqs2ghEmmV6vFzabDUNDQ3j27Bm+fv2K06dPIxKJyFUfwQDTtdmenp410+3t7cjPz4fP58OxY8ckLYxgR9T9zGAwCADIzc1NuMxWbhtRmrQ7DWKxGOrr6/Hp0ycMDAwkXO7atWvrto14PB5s3749nVWv4ePHj8jJyRGds/h5Ef4FP/748w/RWcBq24hUWcufl3Hr37c27DRIW+aFCxfQ3d2NgYGBpO+mSdQ2slFhqTI8PIyKigrROWPvx/Dbs98kbRs5+K+DOJB3QHRWOBTGT/t/kqdtxG6348mTJ+jv708qEkjy6pgtwIG8A5K0tCxtT+3QxCRTEARcvHgRbrcbfX192LNnT1rFEfLAJNNms6GjowOPHz+GTqfD/Pw8AECv12Pbtm2yFEikDtP3zNbWVgSDQVRVVWHXrl3xn87OTrnqIxhg3s0S3y90bZYjSCZHkEyOIJkcQTI5gmRyBMnkCJLJEcxXgEpKSpCdnY3s7GxUVlaiu7tbrtoIRphkFhYW4ubNm/D5fBgdHcWJEydw5swZvHnzRq76CAaYLufV1dWtmb5x4wZaW1sxNDSEQ4cOSVoYwU7abSPRaBQPHz5EJBJJOnICtY0oB7PMV69eobKyEl++fEFWVhbcbjcOHjyYcPlEbxsZHR2VrG1keHhYdM7i50XJ3zbin/JjeFZ8bal2PzK3jaysrGB2dhbBYBCPHj1CW1sbvF5vQqFbuW3k51M/S9NpsLQEvV4vfduIRqPBvn37AABlZWV4+fIlbt++jbt37667/FZuG1Ea0d8zY7HYmi2P2DyYtsympibU1tbCZDIhFAqho6MDfX196O3tlas+ggEmmYFAAOfOncP79++h1+tRUlKC3t5enDp1Sq76CAaYZN67d0+uOggJoGuzHEEyOYJkcgTJ5AiSyREkkyNIJkeQTI4gmRxBMjmCZHKE7KMn/JVv98Klah+JRCKSZIVD4dXxQ75IUBRWXyoRDoVTfoQ9Gd/+vo36CESNa5IO7969w969e5VcJTfMzc0lfYeE4lvmt3cGzc7OQq/Xi8r61oIyNzcnugXle80CVrfIUCgEo9GYdDnFZarVq4dpvV4vyR8KIN6UzXNWKv/4dALEESSTIxSXqdVq0dzcLEnH3lbIYkHxs1lCPmg3yxEkkyNIJkeQTI5QVKbL5UJxcTEyMzNRUVGBkZGRtHL6+/tRV1cHo9EIlUqFrq6utGuSchCBzX6yXDGZnZ2dcDgcaG5uxtjYGMxmM2pqahAIBJizIpEIzGYzXC6X6LqkHERg058sFxTCYrEINpstPh2NRgWj0Sg4nU5RuQAEt9stsrr/EwgEBACC1+uVJC8nJ0doa2uTJGsjFNkyV1ZW4PP5UF1dHZ+nVqtRXV2NwcFBJUpImVQGEUiFaDSKBw8ebPhkuZQocqF9YWEB0WgUBoNhzXyDwYDJyUklSkiJWCyGS5cu4ejRozh8+HBaGaxPlkuJ4ndNvmdsNhtev36ddDSIjdi/fz/Gx8fjT5ZbrdakT5ZLiSIy8/LykJGRAb/fv2a+3+9HQUGBEiVsCMsgAslgfbJcShQ5Zmo0GpSVlcHj8cTnxWIxeDwexY4niRAEAXa7HW63G8+fP5d8EAElnyxXbDfrcDhgtVpRXl4Oi8WClpYWRCIRNDY2MmeFw2FMT0/Hp2dmZjA+Po7c3FyYTCamLCkHEdj0J8sVOWf+H3fu3BFMJpOg0WgEi8UiDA0NpZXz4sULAcDffqxWK3PWejkAhPv37zNnnT9/Xti9e7eg0WiEnTt3CidPnhSePn3KnJMudAuMI+jaLEeQTI4gmRxBMjmCZHIEyeQIkskRJJMjSCZHkEyOIJkcQTI54r8Yy0so3tHHLgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "All variants of shape 2:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "All variants of shape 3:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "All variants of shape 4:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "All variants of shape 5:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "All variants of shape 6:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "All variants of shape 7:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "All variants of shape 8:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAGAAAAB+CAYAAADbRBTTAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAH7UlEQVR4nO2dTUxT2xbH/5SXFi+UKhKKDTQQdaIGTKgljYlBUzUdoM6c2TAweaY1MR09HIgOvHVCHsYQYuIHIyLRm6oxAWIqH2lCwZaQKLmaa/QFBlAkaME+LKbdb3CvfQ+lpbvnY/Po+iUd7J3TdVbz45z27MXeu4AxxkAIQyM6gXyHBAiGBAiGBAiGBAiGBAiGBAiGBAiGBAiGBAgmJwGdnZ2oqalBUVERGhsbMT4+Lnde+QPj5MGDB0yr1bJ79+6xqakpdv78ebZ9+3YWiUR4QxGMMW4BVquVuVyuVDuRSDCTycS8Xq+sieULf+O5WlZXVxEOh9Ha2prq02g0sNvtGB0dXfc98Xgc8Xg81U4mk1hcXMTOnTtRUFCQ43W7uWGMYXl5GSaTCRpN5rs8l4CFhQUkEgkYjcY1/UajEW/evFn3PV6vF9euXeM5zZZhZmYGVVVVGY/hEpALra2t8Hg8qXY0GoXZbMbMzAxKS0slxw+FQrBYLJLjTM5N4ungU7T/q11yLMQB/BPQ6/UbHsoloLy8HIWFhYhEImv6I5EIKisr132PTqeDTqf7qb+0tFQWAcXFxbLEKYmVQLdNBxRJDpUim1ss189QrVaLhoYG+P3+VF8ymYTf74fNZuPPkOC/BXk8HjidTlgsFlitVnR0dCAWi6GlpUWJ/LY83ALOnj2Ljx8/4sqVK5ibm8PBgwfR39//0xczkR05fQm73W643W65c8lLaCxIMCRAMCRAMCRAMCRAMCRAMCRAMCRAMNwCRkZG0NzcDJPJhIKCAjx+/FiBtPIHbgGxWAz19fXo7OxUIp+8g3sowuFwwOFwKJFLXkLfAYJRvCL2Y014aWlJ6VP+X6G4gHQ14VAohOLiYsnxP336hLGxMclxFlcWsfeXvbhce1lyrPhKHO3IrrSpek14aWkJ1dXVsFgsspQSx8bG0NjYKDnOxOwEAtMB/PrhV8mx8DX7QxUXkK4mTPwJt4AvX77g3bt3qfaHDx8wOTmJsrIymM1mWZPLB7gFhEIhHD16NNX+fntxOp3o7u6WLbF8gVtAU1MTGE0tlg16DhAMCRAMCRAMCRAMCRAMCRAMCRAMCRAMCRAMlwCv14tDhw5Br9ejoqICZ86cwdu3b5XKLS/gEjA8PAyXy4VgMIjnz5/j27dvOHHiBGKxmFL5bXm4xoL6+/vXtLu7u1FRUYFwOIwjR47Imli+IKkeEI1GAQBlZWVpj6GSZGYKWI5Dm8lkEqdOncLnz58RCATSHnf16tV1S5J+v1+2kuSOHTskx1lcWURkIYI//v2H5FjxlTja/96OaDS6YdUvZwEXLlxAX18fAoFAxrmw610B1dXVWSWXDXKWJH97/pt8JckbyOoz5jxF6dmzZxgZGdlwIjKVJDPDJYAxhosXL8Ln82FoaAi1tbVK5ZU3cAlwuVzo6enBkydPoNfrMTc3BwAwGAzYtm2bIgludbieA7q6uhCNRtHU1IRdu3alXr29vUrlt+XhvgUR8kJjQYIhAYIhAYIhAYIhAYIhAYIhAYIhAYLhfhKuq6tLrfdms9nQ19enVG55AZeAqqoq3LhxA+FwGKFQCMeOHcPp06cxNTWlVH5bHq6hiObm5jXt69evo6urC8FgEPv375c1sXwh55JkIpHAw4cPEYvFMq6YmK4kOTk3iZJYSa6nT7G4soiJ2QnJcX5f+F1yjFzgFvDq1SvYbDZ8/foVJSUl8Pl82LdvX9rj082SfDr49M91OiWy95e9CEynL4nyxlJ7liR3SXJ1dRXT09OIRqN49OgR7ty5g+Hh4bQS0pUk8Q/Iskjq5drL8pQR5YylZElSq9Viz549AICGhga8fPkSN2/exO3bt9c9nkqSmZH8HJBMJtf8hRN8cF0Bra2tcDgcMJvNWF5eRk9PD4aGhjAwMKBUflseLgHz8/M4d+4cZmdnYTAYUFdXh4GBARw/flyp/LY8XALu3r2rVB55C40FCYYECIYECIYECIYECIYECIYECIYECIYECIYECIYECEbxVRN/JFX/kWkEO74S51omUpVYf322bGpdOU/Sy5X3799j9+7dap5SGJtiM88f+T6neHp6GgaDQVKs7+VNOTYGlTPW/25nuxGqC/i+v67BYJBlmiog38agcsbK9o+LvoQFQwIEo7oAnU6HtrY2Wf5TYrPG4kH1X0HEWugWJBgSIBgSIBgSIBhVBXR2dqKmpgZFRUVobGzE+Ph4TnHk3ExO9EKEqgno7e2Fx+NBW1sbJiYmUF9fj5MnT2J+fp47lpybyQlfiJCphNVqZS6XK9VOJBLMZDIxr9crKS4A5vP5JGb3X+bn5xkANjw8LFvMTKhyBayuriIcDsNut6f6NBoN7HY7RkdH1Ugha7JZiFBOVBGwsLCARCIBo9G4pt9oNKYWfdoMJJNJXLp0CYcPH8aBAwdUOafqo6GbGZfLhdevX2dcBVJuVBFQXl6OwsJCRCKRNf2RSASVlZVqpLAhPAsRyokqtyCtVouGhgb4/f5UXzKZhN/vzzjDUg0YY3C73fD5fHjx4oXqCxGqdgvyeDxwOp2wWCywWq3o6OhALBZDS0sLdyw5N5MTvhChKr+1/uLWrVvMbDYzrVbLrFYrCwaDOcUZHBxkAH56OZ1O7ljrxQHA7t+/n1NuvNBwtGBoLEgwJEAwJEAwJEAwJEAwJEAwJEAwJEAwJEAwJEAwJEAwJEAw/wHIQFx6nCrzXwAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "All variants of shape 9:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "All variants of shape 10:\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAEUAAAB+CAYAAAByMNxHAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAHnklEQVR4nO2dT2hTSRzHv2mXpK5Nom1pNdTQgrJaJe1ajeTiVo1KkGpvHgRDD8JKIrrx4MaDVVDTS1lFS7f4h55Ki0IUhLaUYhoKBtN0C6VdZRWX5mATRYxNVl8leXtwEzd1kmZe8vJSnQ/k8IaZvF8/nfdnfpk3T8bzPA9GEkVSB1CIMCkEmBQCTAoBJoUAk0KASSHApBBgUggwKQQESens7ERNTQ1KSkqwY8cOPH78ONdxSQtPSV9fHy+Xy/nbt2/z09PT/LFjx/hVq1bxgUCA9qsKFmoper2et1gsie1oNMprNBre4XDkNDAp+Y6mVy0sLMDn88FutyfKioqKYDQa8ejRI2IbjuPAcVxiOxaL4c2bNygvL4dMJhPYv+nheR7z8/PQaDQoKkp/1qCS8vr1a0SjUVRVVSWVV1VV4cmTJ8Q2DocDFy5coNmNqPj9flRXV6etQyVFCHa7HTabLbEdCoWg1WqBXwAo6L/vdM1pdPzdQd+QA/AboFQql6xKJaWiogLFxcUIBAJJ5YFAAGvWrCG2USgUUCgIf70CQAnN3v9rtkIhqF2cTA5ZqkuyXC5HY2MjRkZGEmWxWAwjIyMwGAz0ERYo1IePzWaD2WzGtm3boNfrceXKFUQiEbS2tooRnyRQSzl8+DBevXqFc+fOYW5uDg0NDRgcHPzi5LucEXSitVqtsFqtuY6lYGBjHwJMCgEmhQCTQoBaitvtRnNzMzQaDWQyGe7duydCWNJCLSUSiaC+vh6dnZ1ixFMQUF+STSYTTCaTGLEUDOycQkD0UfLifMq7d+/E3mXWiC4lVT7ldM3pTyNeSjZ8vwFna89St+Pec+hAZikHGc8Ln58ik8ngdDrR0tKSOhhCT1m3bh1Gn46iVFlKtb8/X/+JmT9mcPnFZfpgPwBo/5TPUalUaauK3lNS5VMa1jQsGRyJGczkIqy0UEsJh8N49uxZYvvFixeYnJxEWVnZp4zaVwC1lPHxcezatSuxHU81ms1m9PT05CwwKaGW0tTUhCxOQ8sCdp9CgEkhwKQQYFIIMCkEqKQ4HA5s374dSqUSlZWVaGlpwdOnT8WKTTKopIyOjsJiscDj8WB4eBgfP37Evn37EIlExIpPEqjuUwYHB5O2e3p6UFlZCZ/Ph507d+Y0MCnJauwTCoUAAGVlZSnrpEodTM5NojRCPyDMB4JHybFYDAcPHsTbt28xNjaWst758+fJqYPfhacO/vrnL+p23HsOHT93ZDRKFizl+PHjGBgYwNjYWNr5HqlSB/gVgmYPnK09W5ipA6vVigcPHsDtdi85ASblVIwChkoKz/M4ceIEnE4nXC4XamtrxYpLUqikWCwW9Pb24v79+1AqlZibmwMAqNVqrFixQpQApYDqPqWrqwuhUAhNTU1Yu3Zt4tPf3y9WfJJAffh8C7CxDwEmhQCTQoBJIUB99dHpdFCpVFCpVDAYDBgYGBArNsmgklJdXY329nb4fD6Mj49j9+7dOHToEKanp8WKTxKoLsnNzc1J25cuXUJXVxc8Hg82b96c08CkRHDqIBqN4s6dO4hEImlnW38Tsw6mpqZgMBjw4cMHlJaWwul0oq6uLmX9b2LWwcLCAmZnZxEKhXD37l3cvHkTo6OjKcWIkTqo+7EOmyo2UbULz4fx0w8/iZM6kMvlWL9+PQCgsbERXq8XV69eRXd3N7G+GKmDTRWbsHXtVqo271ZmfthmfZ8Si8WSesLXAFVPsdvtMJlM0Gq1mJ+fR29vL1wuF4aGhsSKTxKopASDQRw9ehQvX76EWq2GTqfD0NAQ9u7dK1Z8kkAl5datW2LFUVCwsQ8BJoUAk0KASSHApBDISkp7eztkMhlOnTqVo3AKA8FSvF4vuru7odPpchlPQSBISjgcxpEjR3Djxg2sXr061zFJjqB8isViwYEDB2A0GnHx4sW0dcXIpwiZkhGeD2dcl1pKX18fJiYm4PV6M6ovRj5l5o8Z6jn63PvMB61UUvx+P06ePInh4WGUlGSWDFm8KkY8n9Lxd0f+p2JkCJUUn8+HYDCIrVs/5zKi0SjcbjeuX78OjuNQXFyc1Oarn4qxZ88eTE1NJZW1trZi48aNOHPmzBdClitUUpRKJbZs2ZJUtnLlSpSXl39Rvpxhd7QEsn4yzOVy5SCMwoL1FAJMCgEmhQCTQoBJIcCkEGBSCIj+BPtiEr/nC/yllXvPUQ3uPjdctP905HtZ0+fPn/MAJPv4/f4lY8x7T4k/GzQ7Owu1Wk3VNp528Pv91Osk8P9benUp8i4lvhasWq0WtAAEgMRERFoy/SewEy0BJoVA3qUoFAq0tbUJysZl05aGrFba+Vphhw8BJoUAk0KASSGQVylC3+GR70U88yalv78fNpsNbW1tmJiYQH19Pfbv349gMLhk27wv4in2ADBOrt7hAYB3Op05ji6ZvPSU+Ds8jEZjomypd3hISV6kpHuHR/yB70KCXX0I5EWKkHd4SElepCy3d3jkLcmUzTs88r6Ip6jXtkVcu3aN12q1vFwu5/V6Pe/xeDJq9/DhQ2K+1Ww2ixInSx0QYFcfAkwKASaFAJNCgEkhwKQQYFIIMCkEmBQCTAoBJoUAk0LgX0FpaS+yKmFZAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "All variants of shape 11:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "All variants of shape 12:\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAEUAAAB+CAYAAAByMNxHAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAHeUlEQVR4nO2dX0iTaxzHv9PDZkfnSkVz2EgoTllMj9piN7XKihGWd10EDS+CE1sQ66IzL7Iuat7IMUo80h+8EqVgFYGKiHMIjeZEEKmo6OAuciui6XbyNbb3XMR2Wj5zPq979057PrCL9+F5tp8fnvfP8/N5n0fG8zwPRgI5UgeQjTApBJgUAkwKASaFAJNCgEkhwKQQYFIIMCkEBEnp7OzE9u3bkZeXh/379+P58+fpjktaeEr6+vp4uVzO379/n5+ZmeHPnTvHb968mff7/bRflbVQS9HpdLzZbI4fRyIRXq1W83a7Pa2BSckvNL1qaWkJXq8XNpstXpaTk4OGhgY8e/aM2IbjOHAcFz+ORqP49OkTiouLIZPJBPZveniex8LCAtRqNXJyVr5qUEn5+PEjIpEIysrKEsrLysrw8uVLYhu73Y5r167R/Iyo+Hw+VFRUrFiHSooQbDYbrFZr/DgYDEKj0cDn86GwsJDqu6bmpvBk9Ana/2mnD4QD8BegVCpTVqWSUlJSgtzcXPj9/oRyv9+PrVu3EtsoFAooFIpl5YWFhdRSCsIFUGxSAHlUzRJYzSlLdUuWy+Woq6vDyMhIvCwajWJkZAR6vZ4+wiyF+vSxWq0wmUyor6+HTqdDR0cHwuEwmpubxYhPEqilnD59Gh8+fMCVK1cwNzeHmpoaDA4OLrv4rmcEXWgtFgssFku6Y8ka2NiHAJNCgEkhwKQQoJbicrnQ2NgItVoNmUyGR48eiRCWtFBLCYfDqK6uRmdnpxjxZAXUt2Sj0Qij0ShGLFkDu6YQEH2U/GM+ZX5+HsC3EW9BuIDqu158fJHW2JIhupRk+ZQno0++jXgp2fnrTrRUtlC3475waMfqUg4ynhc+P0Umk8HhcKCpqSl5MISesm3bNuBPCEoBtFS24Ma7G/QNFwG0fcvnpEpZiN5TkuVTshlqKaFQCG/evIkfv3v3DlNTUygqKoJGo0lrcFJBLWViYgKHDh2KH8dSjSaTCT09PWkLTEqopRgMBqzhMrQuYM8pBJgUAkwKASaFAJNCgEqK3W7Hvn37oFQqUVpaiqamJrx69Uqs2CSDSsrY2BjMZjPcbjeGh4fx9etXHDt2DOFwWKz4JIHqOWVwcDDhuKenB6WlpfB6vThw4EBaA5OSNY19gsEgAKCoqChpnWSpg2xG8Cg5Go3i5MmT+Pz5M8bHx5PWu3r1KjF1cOnvS4JTB6//fU3djvvCof2P9lWNkgVLOX/+PAYGBjA+Pr7ifI+fJnVgsVjw9OlTuFyulBNgNnzqgOd5XLhwAQ6HA06nE5WVlWLFJSlUUsxmM3p7e/H48WMolUrMzc0BAFQqFTZt2iRKgFJA9ZzS1dWFYDAIg8GA8vLy+Ke/v1+s+CSB+vT5GWBjHwJMCgEmhQCTQoD67qPVauNzYPV6PQYGBsSKTTKopFRUVKCtrQ1erxcTExM4fPgwTp06hZmZGbHikwSqW3JjY2PC8fXr19HV1QW32409e/akNTApEZw6iEQiePDgAcLh8Iqzrddj6oBayvT0NPR6PRYXF1FQUACHw4Gqqqqk9ZPNOri0XXjqIOtmHSwtLWF2dhbBYBAPHz7E3bt3MTY2llTMT5E6kMvl2LFjBwCgrq4OHo8HN2/eRHd3N7H+ekwdrPk5JRqNJvSEjQBVT7HZbDAajdBoNFhYWEBvby+cTieGhobEik8SqKQEAgGcPXsW79+/h0qlglarxdDQEI4ePSpWfJJAJeXevXtixZFVsLEPASaFAJNCgEkhwKQQWJOUtrY2yGQyXLx4MU3hZAeCpXg8HnR3d0Or1aYznqxAkJRQKIQzZ87gzp072LJlS7pjkhxBUsxmM06cOIGGhoaUdTmOw/z8fMIn26EeJff19WFychIej2dV9Td8PsXn86G+vh7Dw8Pxa4nBYEBNTQ06OjrIwYiQT6n6vQq7S3ZTtQsthHDwt4Ppz6d4vV4EAgHU1tbGyyKRCFwuF27fvg2O45Cbm5vQRox8yu6S3agtr01d8Tvm81d/2lJJOXLkCKanpxPKmpubsWvXLly+fHmZkPUKlRSlUom9e/cmlOXn56O4uHhZ+XqGPdESWPObYU6nMw1hZBespxBgUggwKQSYFAJMCgEmhQCTQkD0N9h/JD7+FPifVu4Lh9BCiGosA/w/BWRV499ML2v69u1bHoBkH5/PlzLGjPeU2LtBs7OzUKlUVG1jaQchi3Hy3y29moqMS4mtBatSqaj/sBhCFuOM/eZqYBdaAkwKgYxLUSgUaG1tFZSNW0tbGta00s5GhZ0+BJgUAkwKASaFQEalCN3DI9OLeGZMSn9/P6xWK1pbWzE5OYnq6mocP34cgUAgZduML+Ip9gAwRrr28ADAOxyONEeXSEZ6SmwPj+9nKaTaw0NKMiJlpT08Yi98ZxPs7kMgI1KE7OEhJRmRst728MhYkmkte3hkfBFPUe9tP3Dr1i1eo9Hwcrmc1+l0vNvtXlW70dFRYr7VZDKJEidLHRBgdx8CTAoBJoUAk0KASSHApBBgUggwKQSYFAJMCgEmhQCTQuA/Y1t3bVFgFlgAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "All variants of shape 13:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "All variants of shape 14:\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAHQAAABoCAYAAAAgjtTHAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAL9ElEQVR4nO2db0xTVx/HvwVs+SNUpeNPp4BzOFRGUbq6BjNx4AwzOpNl4QXLiHuxaMBsD2QRfDHcC5/6xkW3ER+my3ixMdiWsP/gCKMlbCKUP2rEOXQ8KzFAZ3T9pxbT/p4Xhj7W/ru39FZ3PZ/kvriH7z3nR749597+es65EiIiMERDzIMOgBFZmKEigxkqMpihIoMZKjKYoSKDGSoymKEigxkqMpihIiMsQ5uampCTk4P4+Hhs3LgRg4ODkY6LESa8DW1vb0dtbS0aGxsxMjIClUqFbdu2wWw2CxEfgy/EE41GQ9XV1Z5zl8tFSqWSdDod36oYAhDHx/y5uTkMDw+joaHBUxYTE4OysjKcPn3a7zVOpxNOp9Nz7na7cf36daSmpkIikYT5MXy0ICLYbDYolUrExAQfVHkZeu3aNbhcLqSnp3uVp6en47fffvN7jU6nw7vvvsunGUYApqamsHz58qAaXoaGQ0NDA2praz3nFosFWVlZwL8AyEJfX5dThyP/PcKprbqcOuzcshOFGYUhtUajEWq1mlO9D1prtVqxYsUKJCcnh9TyMlShUCA2Nhazs7Ne5bOzs8jIyPB7jUwmg0zmxzkZgPjQbcoSZJx089rFyYuRkpISUpuUlMRJ97BoAXC6RfF6ypVKpSgqKkJPT4+nzO12o6enB1qtlk9VDIHgPeTW1taiqqoKarUaGo0GR48ehcPhwO7du4WIj8ET3oZWVFTgr7/+wjvvvIOZmRkUFhaiq6vL50GJ8WAI66GopqYGNTU1kY6FEQF4Z4r6+vqwY8cOKJVKSCQSfP311wKExQgX3oY6HA6oVCo0NTUJEQ9jgfAecsvLy1FeXi5ELIwIIHhi4f7Un9VqFbS9i9cuctJdv3UdI9Mj/wit3WbnVB8QBUMDpf7qcuruJg1CkJuYiwMrD3BqKzcxF+Oj4xjHOCdtv6mfc70PUuu85QypmUdCFP5SCIlEgo6ODuzatStwMH566IoVK4B6cMoAHVh5AP+e/DeneESrvQ3g8N20aajMkuA9NGDqjyEIbAqKyODdQ+12Oy5fvuw5n5ycxNjYGJYtW3b3VxTGA4W3oUajEVu2bPGcz/80VlVVhZaWlogFxggP3oaWlJRgAc9RDIHhdQ/V6XR45plnkJycjLS0NOzatQuXLl0SKjZGGPAy1GAwoLq6GgMDA+ju7sadO3fwwgsvwOFwCBUfgye8htyuri6v85aWFqSlpWF4eBjPPfdcRANjhMeCvodaLBYAwLJlywJqop36e9QJO1Pkdruxc+dO/P333+jvD5y+OnjwoP/U33+4p/4mbk5wikmsWuctJ47sOcIpUxS2oXv37kVnZyf6+/uDTi2Mdupv7fq1WKNYE1I7e2kW6U9xm2XBVXvx2kWMj45HPF67zY7NT20WLvVXU1OD77//Hn19fSHniUY79bdGsQYbMjeE1J0xneGk46vl8sPAvXCJ15rE/TbFy1Aiwr59+9DR0QG9Xo+VK1fyuZwRBXgZWl1djdbWVnzzzTdITk7GzMwMAEAulyMhIUGQABn84PU99Pjx47BYLCgpKUFmZqbnaG9vFyo+Bk94D7mMhxvePbSgoAApKSlISUmBVqtFZ2enULExwoCXocuXL8fhw4cxPDwMo9GI559/Hi+99BIuXLggVHwMnvAacnfs2OF1fujQIRw/fhwDAwNYt25dRANjhEfYqT+Xy4Uvv/wSDocj6EKlR2nWH9e2hYR3puj8+fPQarW4ffs2Fi9ejNbWVrz44osB9Sz1F1ybrkjHsoTAuXDg7uT20tJSYVJ/c3NzMJlMsFgs+Oqrr3Dy5EkYDAasXbvWrz5Q6s9wyYDFyYuDthVOKu2fpn1568uhM0VWK+RyuTCpP6lUiieffBIAUFRUhKGhIRw7dgzNzc1+9YFSf4UZhZwWu/JNpT3qLHjWn9vt9uqBjAcLrx7a0NCA8vJyZGVlwWazobW1FXq9HqdOnRIqPgZPeBlqNpvx2muvYXp6GnK5HAUFBTh16hS2bt0qVHwMnvAy9OOPPxYqDkaEWNA99PDhw5BIJHjrrbciFA5joYRt6NDQEJqbm1FQUBDJeBgLJCxD7XY7KisrceLECSxdujTSMTEWQFiGVldXY/v27SgrKwupdTqdsFqtXgdDOHgnFtra2jAyMoKhoSFO+kALfo1GI5KSkoJee/POTaxOXM1rwe8/Sbs6cTUsVyw4YzoTVMdnIjuv1N/U1BTUajW6u7s9986SkhIUFhbi6NGjfq8JlPrjksYCgN7+XshXyUPqHqY0IdeZh5YrFmzZtCWkTrDU3/DwMMxmMzZs+H/u0eVyoa+vDx9++CGcTidiY2O9rlnorL/ERYmCzbgTCj4zDyMNL0NLS0tx/vx5r7Ldu3cjLy8P+/fv9zGTEX14GZqcnIz8/HyvsqSkJKSmpvqUMx4MbEm+yFjwphl6vT4CYTAiBeuhIoMZKjKYoSJD8I2n7mc+j8E1BehwODhp7Tb73S3UbnOLQ0it3WbntGKM6/82r+GSA1rQ1nDh8Mcff2DVqlXRbFI0PBSv+bif+eX7JpMJcnnwlN58mnBqaipkykvM2ntfxBOKqBs6/2YguVzO+RUX82tpHmVtqA//POyhSGQwQ0VG1A2VyWRobGzk9AsM0/In6k+5DGFhQ67IYIaKDGaoyGCGigxmqMiIqqFNTU3IyclBfHw8Nm7ciMHBQb86ru9X47Mh80J2cAm15OPgwYOQSCReR15eXsD6rl69ildffRWpqalISEjA008/DaPRyCmWUETN0Pb2dtTW1qKxsREjIyNQqVTYtm0bzGazj5br+9X4bMgc7g4uXJd8rFu3DtPT054j0A6lN27cQHFxMRYtWoTOzk6Mj4/jyJEjkVuBQFFCo9FQdXW159zlcpFSqSSdThf0OgDU0dHBqQ2z2UwAyGAwcNIvXbqUTp48GfDvNpuNcnNzqbu7mzZv3kxvvvmmX11jYyOpVCpObe7fv582bdrESRsOUemhc3NzGB4e9lo6ERMTg7KyMpw+fTpi7XDZkBm4O5e4ra0t5A4ufJZ8TExMQKlU4oknnkBlZSVMJpNf3bfffgu1Wo1XXnkFaWlpWL9+PU6cOBGyfs4I9lG5h6tXrxIA+vXXX73K3377bdJoNEGvBcce6nK5aPv27VRcXBxQc+7cOUpKSqLY2FiSy+X0ww8/BNR+/vnnlJ+fT7du3SIiCtpDf/zxR/riiy/o7Nmz1NXVRVqtlrKysshqtfpoZTIZyWQyamhooJGREWpubqb4+HhqaWkJ+T9yQTSG7tmzh7Kzs2lqaiqgxul00sTEBBmNRqqvryeFQkEXLlzw0ZlMJkpLS6OzZ896yoIZej83btyglJQUv8P5okWLSKvVepXt27ePnn32WU51hyIqQ65CoUBsbCxmZ2e9ymdnZ5GRkbHg+uc3ZO7t7Q36i/78Di5FRUXQ6XRQqVQ4duyYj+7eJR9xcXGIi4uDwWDA+++/j7i4OLhcrqDxLFmyBKtXr/Z6A9U8mZmZPlsArVmzJuAQzZeoGCqVSlFUVISenh5PmdvtRk9PT9B7WCiICDU1Nejo6MDPP//Me0PmQDu4zC/5GBsb8xxqtRqVlZUYGxsLueTDbrfjypUryMzM9PlbcXGxz1er33//HdnZ2bxiD0hE+jkH2traSCaTUUtLC42Pj9Mbb7xBS5YsoZmZGR+tzWaj0dFRGh0dJQD03nvv0ejoKP35559eur1795JcLie9Xk/T09Oe4+bNmz511tfXk8FgoMnJSTp37hzV19eTRCKhn376iVP8wYbcuro60uv1NDk5Sb/88guVlZWRQqEgs9nsox0cHKS4uDg6dOgQTUxM0GeffUaJiYn06aefcoojFFEzlIjogw8+oKysLJJKpaTRaGhgYMCvrre3lwD4HFVVVV46fxoA9Mknn/jU+frrr1N2djZJpVJ67LHHqLS0lLOZRMENraiooMzMTJJKpfT4449TRUUFXb58OWBd3333HeXn55NMJqO8vDz66KOPOMcRCvZ7qMhguVyRwQwVGcxQkcEMFRnMUJHBDBUZzFCRwQwVGcxQkcEMFRnMUJHxPxJoISV/5QIwAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# visualize all the variants of all the shapes\n",
    "for i, shape in enumerate(all_shapes):\n",
    "    print(\"-\" * 30)\n",
    "    print(f\"All variants of shape {i}:\")\n",
    "    for variant in shape:\n",
    "        draw_shape(variant)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "id": "fed31e36",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "All variants of shape 0:\n",
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  12   4]\n",
      " [ 48  41   7   2]\n",
      " [ 96 193 386 256]\n",
      " [ 64 128 256   0]]\n",
      "Sum: 1533\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16   8   4   0]\n",
      " [ 48  25  14   4]\n",
      " [ 96 161 259   2]\n",
      " [ 64 192 384 256]]\n",
      "Sum: 1533\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[  0  16   8   4]\n",
      " [ 16  56  13   6]\n",
      " [ 32  97 131 258]\n",
      " [ 64 192 384 256]]\n",
      "Sum: 1533\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  12   4]\n",
      " [ 32  49  11   6]\n",
      " [ 64 224 385 258]\n",
      " [  0  64 128 256]]\n",
      "Sum: 1533\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sums of all variants: [1533, 1533, 1533, 1533] => ALL SAME!\n",
      "------------------------------\n",
      "All variants of shape 1:\n",
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  28  12   4   0]\n",
      " [ 32  33  51  27  14   4]\n",
      " [ 64 192 496 425 263   2]\n",
      " [  0   0 112 201 390 256]\n",
      " [  0   0  96 129 258   0]\n",
      " [  0   0  64 128 256   0]]\n",
      "Sum: 3577\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[  0  16   8   4   0   0]\n",
      " [ 16  56  29  30  12   4]\n",
      " [ 48 105 167 291   3   2]\n",
      " [112 201 454 448 384 256]\n",
      " [ 96 129 258   0   0   0]\n",
      " [ 64 128 256   0   0   0]]\n",
      "Sum: 3577\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[  0  16   8   4   0   0]\n",
      " [  0  48   9   6   0   0]\n",
      " [ 16 120 141 262   0   0]\n",
      " [ 32 113 155 286  12   4]\n",
      " [ 64 224 417 291   3   2]\n",
      " [  0  64 192 448 384 256]]\n",
      "Sum: 3577\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[  0   0   0  16   8   4]\n",
      " [  0   0   0  48   9   6]\n",
      " [ 16  24  28 124 141 262]\n",
      " [ 32  33  51 107 135 258]\n",
      " [ 64 192 480 449 386 256]\n",
      " [  0   0  64 128 256   0]]\n",
      "Sum: 3577\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sums of all variants: [3577, 3577, 3577, 3577] => ALL SAME!\n",
      "------------------------------\n",
      "All variants of shape 2:\n",
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  28  28  12   4]\n",
      " [ 32  33  35  35   3   2]\n",
      " [ 64 192 448 448 384 256]]\n",
      "Sum: 2044\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16   8   4]\n",
      " [ 48   9   6]\n",
      " [112 137 262]\n",
      " [112 137 262]\n",
      " [ 96 129 258]\n",
      " [ 64 128 256]]\n",
      "Sum: 2044\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sums of all variants: [2044, 2044] => ALL SAME!\n",
      "------------------------------\n",
      "All variants of shape 3:\n",
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  28  28  12   4]\n",
      " [ 48  41  39  35   3   2]\n",
      " [ 96 193 450 448 384 256]\n",
      " [ 64 128 256   0   0   0]]\n",
      "Sum: 2555\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16   8   4   0]\n",
      " [ 48   9   6   0]\n",
      " [112 137 262   0]\n",
      " [112 153 270   4]\n",
      " [ 96 161 259   2]\n",
      " [ 64 192 384 256]]\n",
      "Sum: 2555\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[  0   0   0  16   8   4]\n",
      " [ 16  24  28  60  13   6]\n",
      " [ 32  33  35  99 131 258]\n",
      " [ 64 192 448 448 384 256]]\n",
      "Sum: 2555\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  12   4]\n",
      " [ 32  49  11   6]\n",
      " [ 64 240 393 262]\n",
      " [  0 112 137 262]\n",
      " [  0  96 129 258]\n",
      " [  0  64 128 256]]\n",
      "Sum: 2555\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sums of all variants: [2555, 2555, 2555, 2555] => ALL SAME!\n",
      "------------------------------\n",
      "All variants of shape 4:\n",
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  28  28  12   4]\n",
      " [ 48  57  63  47   7   2]\n",
      " [ 96 225 483 451 386 256]\n",
      " [ 64 192 448 384 256   0]]\n",
      "Sum: 3577\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16   8   4   0]\n",
      " [ 48  25  14   4]\n",
      " [112 185 271   6]\n",
      " [112 249 399 262]\n",
      " [ 96 225 387 258]\n",
      " [ 64 192 384 256]]\n",
      "Sum: 3577\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[  0  16  24  28  12   4]\n",
      " [ 16  56  61  63  15   6]\n",
      " [ 32  97 227 483 387 258]\n",
      " [ 64 192 448 448 384 256]]\n",
      "Sum: 3577\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  12   4]\n",
      " [ 48  57  15   6]\n",
      " [112 249 399 262]\n",
      " [ 96 241 395 262]\n",
      " [ 64 224 385 258]\n",
      " [  0  64 128 256]]\n",
      "Sum: 3577\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sums of all variants: [3577, 3577, 3577, 3577] => ALL SAME!\n",
      "------------------------------\n",
      "All variants of shape 5:\n",
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  28  28  12   4]\n",
      " [ 48  41  39  51  11   6]\n",
      " [112 217 478 508 397 262]\n",
      " [112 185 319 127 143 262]\n",
      " [112 233 487 499 395 262]\n",
      " [112 217 478 508 397 262]\n",
      " [ 96 161 291  99 131 258]\n",
      " [ 64 192 448 448 384 256]]\n",
      "Sum: 10220\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  28  28  28  28  12   4]\n",
      " [ 48  41  55  59  47  55  11   6]\n",
      " [112 201 502 505 463 502 393 262]\n",
      " [112 153 382 253 415 382 141 262]\n",
      " [ 96 161 355 227 419 355 131 258]\n",
      " [ 64 192 448 448 448 448 384 256]]\n",
      "Sum: 10220\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sums of all variants: [10220, 10220] => ALL SAME!\n",
      "------------------------------\n",
      "All variants of shape 6:\n",
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16   8   4  16   8   4]\n",
      " [ 48   9   6  48   9   6]\n",
      " [112 153 286 124 141 262]\n",
      " [ 96 161 291  99 131 258]\n",
      " [ 64 192 448 448 384 256]]\n",
      "Sum: 4088\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  28  12   4]\n",
      " [ 32  33  51  11   6]\n",
      " [ 64 192 496 393 262]\n",
      " [ 16  24 124 141 262]\n",
      " [ 32  33  99 131 258]\n",
      " [ 64 192 448 384 256]]\n",
      "Sum: 4088\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAGAAAAB+CAYAAADbRBTTAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAIB0lEQVR4nO2dTUxTaxrH/4VJiyOlioRigwSiN5OoAXLBNsTEoKkaFig7dzYsTMa0Jk7dDC5EF966IYMxhJj4wYpI9KZ6YwLEVCkh4UPKJVFUco1OYAEHCVqxg61p31l47Uy9tPTt+Xi59PklXbwnp8954Nfz9T7nfY+OMcZACCNHdALZDgkQDAkQDAkQDAkQDAkQDAkQDAkQDAkQDAkQTEYCOjo6UF5ejry8PNhsNoyNjSmdV/bAOLlz5w7T6/Xs1q1bbGpqip06dYpt2bKFSZLEG4pgjHELsFqtzOl0xtvRaJRZLBbm8XgUTSxb+AvP3hKJRBAIBNDS0hJflpOTA7vdjuHh4VW/Ew6HEQ6H4+1YLIalpSVs27YNOp0uw/12fcMYw/LyMiwWC3JyUh/luQQsLi4iGo3CbDYnLDebzXj16tWq3/F4PLh06RLPZjYMs7OzKC0tTbkOl4BMaGlpgdvtjreDwSDKysqAfwAwyI9/rvwc2v7dJj+QkrHCAP4FGI3GNVflElBUVITc3FxIkpSwXJIklJSUrPodg8EAg2GV/7QBQB7P1lfHsMmgSBylYwFI6xDLdRmq1+tRU1MDn88XXxaLxeDz+VBXV8efIcF/CHK73XA4HKitrYXVakV7eztCoRCam5vVyG/Dwy3gxIkTePfuHS5cuID5+XlUV1ejr6/vDydmIj0yOgm7XC64XC6lc8lKqC9IMCRAMCRAMCRAMCRAMCRAMCRAMCRAMNwCBgcH0djYCIvFAp1Oh/v376uQVvbALSAUCqGqqgodHR1q5JN1cHdFNDQ0oKGhQY1cshI6BwhG9YrY9zXhjx8/qr3JPxWqC0hWEz5Xfu5rBUomP/z1B5yvOC87jpKxwithtCG90qaOsczHiOl0Oni9XjQ1NSVPZpU9YMeOHfBP+5FvzM9003GkaQnmv8mvRbxcfIkXv77AT29/kh0LnwFc+Vr/LigoSLmq6ntAsppwdUn1msmlw+jMKH7c/qPsOADwAi8UicMDt4BPnz7h9evX8fbbt28xOTmJwsLCr087EFxwCxgfH8fBgwfj7W+PnDgcDnR1dSmWWLbALaC+vh4yThvEd9B9gGBIgGBIgGBIgGBIgGBIgGBIgGBIgGBIgGC4BHg8Huzbtw9GoxHFxcVoamrC9PS0WrllBVwC/H4/nE4nRkZG8OjRI3z58gVHjhxBKBRSK78ND1dfUF9fX0K7q6sLxcXFCAQCOHDggKKJZQuy6gHBYBAAUFhYmHQdKkmmJuOKWCwWw7Fjx/DhwwcMDQ0lXe/ixYurliR9Ph82b96cyaYTeP/+PbZu3So7ztLKEqRFCb/95zfZscIrYbT9vS2tiljGAk6fPo3e3l4MDQ2lHAubrCSZTnLpMDo6CpvNJjvOxNwEfn7085+jJOlyufDw4UMMDg6uORA56TBVAgCnAMYYzpw5A6/Xi4GBAVRUVKiVV9bAJcDpdKK7uxsPHjyA0WjE/Pw8AMBkMmHTpk2qJLjR4boP6OzsRDAYRH19PbZv3x7/9PT0qJXfhof7EEQoC/UFCYYECIYECIYECIYECIYECIYECIYECIb7TriyshIFBQUoKChAXV0dent71cotK+ASUFpaiitXriAQCGB8fByHDh3C8ePHMTU1pVZ+Gx6urojGxsaE9uXLl9HZ2YmRkRHs2bNH0cSyhYxLktFoFHfv3kUoFEo5Y2KykuTk/CTyQ/LHiC2tLGFibkJ2nJeLL2XHyARuAc+ePUNdXR0+f/6M/Px8eL1e7N69O+n6yUZJ/vLkF8VGSQ7NJC+J8sZa96MkI5EIZmZmEAwGce/ePdy4cQN+vz+phGQlSfwTikySer7ivDJlRCVjqVmS1Ov12LVrFwCgpqYGT58+xdWrV3H9+vVV16eSZGpk3wfEYrGEXzjBB9ce0NLSgoaGBpSVlWF5eRnd3d0YGBhAf3+/WvlteLgELCws4OTJk5ibm4PJZEJlZSX6+/tx+PBhtfLb8HAJuHnzplp5ZC3UFyQYEiAYEiAYEiAYEiAYEiAYEiAYEiAYEiAYEiAYEiAY1WdN/J54/UehHuzwSvhrAWQ9xfr9b0un1iVr3tBMePPmDXbu3KnlJoWxLl7m+T3fxhTPzMzAZDLJivWtvDk7Oyt7xKWSsf7/dbZrobmAb+/XNZlMigxTBRB/UGw9xUr3x0UnYcGQAMFoLsBgMKC1tVWRJyXWayweNL8KIhKhQ5BgSIBgSIBgSIBgNBXQ0dGB8vJy5OXlwWazYWxsLKM4Sr5MTvREhJoJ6OnpgdvtRmtrKyYmJlBVVYWjR49iYWGBO5aSL5MTPhEh0wir1cqcTme8HY1GmcViYR6PR1ZcAMzr9crM7n8sLCwwAMzv9ysWMxWa7AGRSASBQAB2uz2+LCcnB3a7HcPDw1qkkDbpTESoJJoIWFxcRDQahdmc+Lops9kcn/RpPRCLxXD27Fns378fe/fu1WSbmveGrmecTieeP3+echZIpdFEQFFREXJzcyFJUsJySZJQUlKiRQprwjMRoZJocgjS6/WoqamBz+eLL4vFYvD5fClHWGoBYwwulwterxePHz/WfCJCzQ5BbrcbDocDtbW1sFqtaG9vRygUQnNzM3csJV8mJ3wiQk2utX7n2rVrrKysjOn1ema1WtnIyEhGcZ48ecIA/OHjcDi4Y60WBwC7fft2RrnxQt3RgqG+IMGQAMGQAMGQAMGQAMGQAMGQAMGQAMGQAMGQAMGQAMGQAMH8F/sfYbZdUA+wAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  28  28  12   4]\n",
      " [ 48  41  39  51  11   6]\n",
      " [112 201 454 496 393 262]\n",
      " [ 96 129 258  96 129 258]\n",
      " [ 64 128 256  64 128 256]]\n",
      "Sum: 4088\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAHQAAABrCAYAAACmGqZpAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAHtklEQVR4nO2dX0wTaxqHf4WTFvZYCIgUG6wQPTESI+4ptmlMDGpX0guV5Fx42eDVmtbErTeLF6I3p96QgzGENTGRK2ITT6qJCaipUkICImVJ/HMwx+hGLpYiQSt0sZj22wuXnkUL9Jv5ZuR8532SXsxk+ps3fdqZ6TfvzBgYYwyENBR87QIIsZBQySChkkFCJYOESgYJlQwSKhkkVDJIqGSQUMlQJLSzsxM1NTUoKiqC0+nEyMiI6LoIhXALDYVCCAQCaGtrw9jYGOrr69HU1ITp6Wkt6iN4YZw4HA7m8/my0+l0mlmtVhYMBnmjCA34hkf+4uIiYrEYWltbs/MKCgrgdrsxNDSU8z2pVAqpVCo7nclkMDs7i40bN8JgMCj8Gv6xYIxhbm4OVqsVBQWrb1S5hM7MzCCdTsNisSybb7FYMDExkfM9wWAQFy5c4FkNsQKTk5Oorq5edRkuoUpobW1FIBDITicSCdhsNuBvAEzq88/UnEH7v9rVBwnOEpqXAvATYDab11yUS2hFRQUKCwsRj8eXzY/H46iqqsr5HpPJBJMphzkTgCKetefGVGwSkiM6S4u8fHZRXEe5RqMRdrsdkUgkOy+TySASicDlcvFXSAiHe5MbCATg9XrR0NAAh8OBjo4OJJNJtLS0aFEfwQm30OPHj+PNmzc4d+4cpqamsGfPHvT19X1xoER8HRQdFPn9fvj9ftG1EAKgsVzJIKGSQUIlg4RKBgmVDBIqGSRUMkioZHALHRgYwJEjR2C1WmEwGHDz5k0NyiKUwi00mUyivr4enZ2dWtRDqIR76M/j8cDj8WhRCyEA2odKhuYdC5/3FL1//17rVf6h0VzoSj1FZ2rOfDqjr5Lv/vQdztaeVZ0jOktkXmohhXbk18piYEz5PRYMBgPC4TCam5tXLibHL3TLli3A3yGkPeNs7VnU/bkOOyt2qs6KP4/DskPMed1fZn7Bs38+w4+vflQf9gHAxU/9WCUlJasuqvkvdMWeIoHsrNiJ7zd/rzrn4euHQnKWeIZnwrLyhVvo/Pw8Xrx4kZ1+9eoVxsfHUV5e/qmbj/iqcAsdHR3FgQMHstNLLZperxfd3d3CCiOUwS20sbERKna7hMbQ/1DJIKGSQUIlg4RKBgmVDBIqGSRUMkioZJBQyeASGgwGsXfvXpjNZlRWVqK5uRnPnz/XqjZCAVxCo9EofD4fhoeHce/ePXz8+BGHDx9GMpnUqj6CE66x3L6+vmXT3d3dqKysRCwWw/79+4UWRihD1fnQRCIBACgvL19xGWpB0RfFHQuZTAZHjx7Fu3fvMDg4uOJy58+fz92C8g9xLSiWCgvKi1f+UuXL27dvUVZWpjoHAGYXZhGfiePX//yqOiu1kEL7X9vz6lhQLPTkyZPo7e3F4ODgqvfO0aMF5Ye//CCmY+HhQzidTvVFARj79xh+vvfz76MFxe/34/bt2xgYGFjzRkh6tKAQv8EllDGGU6dOIRwOo7+/H7W1tVrVRSiES6jP50NPTw9u3boFs9mMqakpAEBpaSmKi4s1KZDgg+t/aFdXFxKJBBobG7F58+bsKxQKaVUfwQn3JpdY39BYrmSQUMkgoZJBQiWDhEoGCZUMEioZJFQySKhkkFDJIKGSofkl+Z+THQ9Orb5cvqQWUpifm8f7b9W3tiSTSWEtMvNz80gtpD6dnFbL/z6rfMbSVd00QwkvX77Etm3b9FylNKyLJyt9zlJD2evXr1FaWqoqa6mdZXJycs3WDD2zROf9/7PP1kJ3oUsPYystLRXywQFASUnJuswSmZfvl58OiiSDhEqG7kJNJhPa2tqEdAKu1ywt8vJF96NcQltokysZJFQySKhkkFDJ0FVoZ2cnampqUFRUBKfTiZGREUU5Ip9MIfKq9K6uLuzevTs7mOByudDb26u4NiXoJjQUCiEQCKCtrQ1jY2Oor69HU1MTpqenubNEPplC5FXp1dXVuHjxImKxGEZHR3Hw4EEcO3YMT58+VV1n3jCdcDgczOfzZafT6TSzWq0sGAyqygXAwuGwyup+Y3p6mgFg0WhUSF5ZWRm7evWqkKx80OUXuri4iFgsBrfbnZ1XUFAAt9uNoaEhPUrIm3yuSs+HdDqN69evI5lM6vrAeV0G52dmZpBOp794TrfFYsHExIQeJeRFJpPB6dOnsW/fPuzatUtRxuPHj+FyufDhwwds2LAB4XAYdXV1gitdGd3PtqxnfD4fnjx5suotBtZix44dGB8fRyKRwI0bN+D1ehGNRnWTqovQiooKFBYWIh6PL5sfj8dRVVWlRwlrwnNV+moYjUZs374dAGC32/Ho0SNcunQJV65cEVXqquiyDzUajbDb7YhEItl5mUwGkUhE1/1LLhhj8Pv9CIfDuH//vvCr0jOZzLJ7TGiNbpvcQCAAr9eLhoYGOBwOdHR0IJlMoqWlhTtL5JMpRF6V3traCo/HA5vNhrm5OfT09KC/vx937tzhylGFbsfTjLHLly8zm83GjEYjczgcbHh4WFHOgwcPGIAvXl6vlzsrVw4Adu3aNe6sEydOsK1btzKj0cg2bdrEDh06xO7evcudowY6fSYZNJYrGSRUMkioZJBQySChkkFCJYOESgYJlQwSKhkkVDJIqGSQUMn4L//Hn0MQ76NTAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  28  12   4]\n",
      " [ 48  41  39   3   2]\n",
      " [112 201 454 384 256]\n",
      " [112 153 286  12   4]\n",
      " [ 96 161 291   3   2]\n",
      " [ 64 192 448 384 256]]\n",
      "Sum: 4088\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sums of all variants: [4088, 4088, 4088, 4088] => ALL SAME!\n",
      "------------------------------\n",
      "All variants of shape 7:\n",
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16   8   4   0   0   0]\n",
      " [ 48   9   6  16   8   4]\n",
      " [112 153 286  60  13   6]\n",
      " [ 96 161 291  99 131 258]\n",
      " [ 64 192 448 448 384 256]]\n",
      "Sum: 3577\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[  0  16  24  12   4]\n",
      " [  0  32  49  11   6]\n",
      " [  0  64 240 393 262]\n",
      " [ 16  24 124 141 262]\n",
      " [ 32  33  99 131 258]\n",
      " [ 64 192 448 384 256]]\n",
      "Sum: 3577\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  28  28  12   4]\n",
      " [ 48  41  39  51  11   6]\n",
      " [ 96 193 450 496 393 262]\n",
      " [ 64 128 256  96 129 258]\n",
      " [  0   0   0  64 128 256]]\n",
      "Sum: 3577\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  28  12   4]\n",
      " [ 48  41  39   3   2]\n",
      " [112 201 454 384 256]\n",
      " [112 153 270   4   0]\n",
      " [ 96 161 259   2   0]\n",
      " [ 64 192 384 256   0]]\n",
      "Sum: 3577\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sums of all variants: [3577, 3577, 3577, 3577] => ALL SAME!\n",
      "------------------------------\n",
      "All variants of shape 8:\n",
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16   8   4   0   0   0]\n",
      " [ 48   9   6   0   0   0]\n",
      " [112 153 286  28  12   4]\n",
      " [ 96 161 291  35   3   2]\n",
      " [ 64 192 448 448 384 256]]\n",
      "Sum: 3066\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[  0   0  16   8   4]\n",
      " [  0   0  48   9   6]\n",
      " [  0   0 112 137 262]\n",
      " [ 16  24 124 141 262]\n",
      " [ 32  33  99 131 258]\n",
      " [ 64 192 448 384 256]]\n",
      "Sum: 3066\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  28  28  12   4]\n",
      " [ 32  33  35  51  11   6]\n",
      " [ 64 192 448 496 393 262]\n",
      " [  0   0   0  96 129 258]\n",
      " [  0   0   0  64 128 256]]\n",
      "Sum: 3066\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  28  12   4]\n",
      " [ 48  41  39   3   2]\n",
      " [112 201 454 384 256]\n",
      " [112 137 262   0   0]\n",
      " [ 96 129 258   0   0]\n",
      " [ 64 128 256   0   0]]\n",
      "Sum: 3066\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sums of all variants: [3066, 3066, 3066, 3066] => ALL SAME!\n",
      "------------------------------\n",
      "All variants of shape 9:\n",
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  12   4]\n",
      " [ 32  33   3   2]\n",
      " [ 64 192 384 256]]\n",
      "Sum: 1022\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16   8   4]\n",
      " [ 48   9   6]\n",
      " [ 96 129 258]\n",
      " [ 64 128 256]]\n",
      "Sum: 1022\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sums of all variants: [1022, 1022] => ALL SAME!\n",
      "------------------------------\n",
      "All variants of shape 10:\n",
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  12   4]\n",
      " [ 32  49  11   6]\n",
      " [ 80 248 397 262]\n",
      " [ 48 105 135 258]\n",
      " [112 217 398 260]\n",
      " [ 96 161 259   2]\n",
      " [ 64 192 384 256]]\n",
      "Sum: 4088\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  28  12  20   8   4]\n",
      " [ 48  41  55  27  62  13   6]\n",
      " [ 96 193 482 417 355 131 258]\n",
      " [ 64 128 320 192 448 384 256]]\n",
      "Sum: 4088\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  12   4]\n",
      " [ 32  49  11   6]\n",
      " [ 80 248 397 262]\n",
      " [ 48 105 135 258]\n",
      " [112 217 398 260]\n",
      " [ 96 161 259   2]\n",
      " [ 64 192 384 256]]\n",
      "Sum: 4088\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  28  12  20   8   4]\n",
      " [ 48  41  55  27  62  13   6]\n",
      " [ 96 193 482 417 355 131 258]\n",
      " [ 64 128 320 192 448 384 256]]\n",
      "Sum: 4088\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sums of all variants: [4088, 4088, 4088, 4088] => ALL SAME!\n",
      "------------------------------\n",
      "All variants of shape 11:\n",
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  12   4]\n",
      " [ 48  57  15   6]\n",
      " [112 249 399 262]\n",
      " [112 233 391 258]\n",
      " [112 217 398 260]\n",
      " [ 96 161 259   2]\n",
      " [ 64 192 384 256]]\n",
      "Sum: 4599\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  28  12  20   8   4]\n",
      " [ 48  57  63  31  62  13   6]\n",
      " [ 96 225 483 419 355 131 258]\n",
      " [ 64 192 448 448 448 384 256]]\n",
      "Sum: 4599\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  12   4]\n",
      " [ 32  49  11   6]\n",
      " [ 80 248 397 262]\n",
      " [ 48 121 143 262]\n",
      " [112 249 399 262]\n",
      " [ 96 225 387 258]\n",
      " [ 64 192 384 256]]\n",
      "Sum: 4599\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  28  28  28  12   4]\n",
      " [ 48  41  55  59  63  15   6]\n",
      " [ 96 193 482 481 483 387 258]\n",
      " [ 64 128 320 192 448 384 256]]\n",
      "Sum: 4599\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAHQAAABQCAYAAADIp1EHAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAGk0lEQVR4nO2cTWgTWxiG3+lckvbWtNhW6w0xtkiRFmm9WiPBhT8pShC1OxeCQRduJtDedHPThcWN6UauIEUEQVelghBd+ROqRgSL/bmBalWQ9mI2bS1CmgY7anLuojZX+5ecmUziPX4PZDHDeef7kjczZ+Z8c47EGGMghKGo0AkQuYUMFQwyVDDIUMEgQwWDDBUMMlQwyFDBIEMFgwwVDE2G9vT0oKamBsXFxdizZw+eP3+e67wIjXAbevPmTfh8PnR1dWFkZARNTU04fPgwpqenjciP4IVx4nA4mKIo6e1kMsmsVisLBAK8hyIM4Bce8z99+oTh4WH4/f70vqKiIrS0tODZs2cralRVhaqq6e1UKoUPHz6gsrISkiRp/Bv+XDDGEI/HYbVaUVS09kWVy9CZmRkkk0lUV1d/t7+6uhqvX79eURMIBHD+/HmeMMQqRKNR2Gy2NdtwGaoFv98Pn8+X3o7FYrDb7cAfAMz8x+uo6cDFfy5qzkePvmCxVQB/ARaLJWNTLkOrqqogyzKmpqa+2z81NYVNmzatqDGbzTCbV3DODKCYJ/pXWYlZky4X+kLGBpBVF8V1l2symbBr1y709/en96VSKfT398PpdPJnSOQc7kuuz+eDx+NBc3MzHA4HLl26hEQigdOnTxuRH8EJt6EnTpzA+/fvce7cOUxOTmLHjh24d+/eshslojBouinyer3wer25zoXIATSWKxhkqGCQoYJBhgoGt6FPnjzB0aNHYbVaIUkSbt++bUBahFa4DU0kEmhqakJPT48R+RA64X5scbvdcLvdRuRC5ADqQwXD8GrL0nro7Oys0SF/agw3dLV6aEdNx0L1gZO6X+vQWdupOR89+kLFVj+quIjsym4SY9rnh0qShGAwiNbW1tWTWeEM3bx5M/AnNJWSOms70fB7A+qr6rm1r2ZeYezvMVyYuMAf+GtsrVpd+nkA3Qu15LKysjWbGn6GrloP1UF9VT12/rZTk3YMYznN5UeD29C5uTm8ffs2vT0xMYFIJIKKioqFNxGIgsJt6NDQEA4cOJDeXny9xOPx4MaNGzlLjNAGt6H79++Hjm6XMBh6DhUMMlQwyFDBIEMFgwwVDDJUMMhQwSBDBcPwsdylpAcl1LXbrYb6UcVcfA6zpfxluLn4HNSP6sJgt8bYWrW69F9/q2wGdHRVW7QwPj6OrVu35jOkMPwQ0wmXUlFRAQB49+4dysvLubSLpbdoNJqxjJRrfSFjfzvhNxN5N3RxBnJ5ebmmHwYAysrKNGv16gsVO9s/P90UCQYZKhh5N9RsNqOrq0vTWwx6tP/n2Dzk/S6XMBa65AoGGSoYZKhgkKGCkVdDta7iqWcKYyAQwO7du2GxWLBx40a0trbizZs3WeuvXLmCxsbG9ICA0+nE3bt3s9Z/S3d3NyRJQnt7uyZ9NuTNUD2reOqZwhgOh6EoCgYGBhAKhfD582ccOnQIiUQiK73NZkN3dzeGh4cxNDSEgwcP4vjx43j58iVXHoODg7h69SoaGxu5vwMX+VolMlereAJgwWBQcx7T09MMAAuHw5qPsX79enbt2rWs28fjcVZXV8dCoRDbt28fa2tr0xw7E3k5QxdX8WxpaUnvy7SKp1HEYjEA/xUJeEgmk+jr60MikeBaOU1RFBw5cuS7728UeRmc17KKpxGkUim0t7dj79692L59e9a60dFROJ1OzM/PY926dQgGg2hoaMhK29fXh5GREQwODmpNm4u8V1sKiaIoePHiBZ4+fcql27ZtGyKRCGKxGG7dugWPx4NwOJzR1Gg0ira2NoRCIRQX61i1kQfDLubfoKoqk2V5Wd936tQpduzYMa5jQWMfqigKs9lsbHx8nFu7FJfLxc6ePZuxXTAYZACYLMvpDwAmSRKTZZl9+fJFdy5LyUsfWshVPBlj8Hq9CAaDePjwIWpra3UfM5VKfTfndTVcLhdGR0cRiUTSn+bmZpw8eRKRSASyLOvOZSl5u+TqWcVTzxRGRVHQ29uLO3fuwGKxYHJyEsBCwbikpCRjbL/fD7fbDbvdjng8jt7eXjx+/Bj379/PqLVYLMv66tLSUlRWVnL14Vzk/Jxfg8uXLzO73c5MJhNzOBxsYGAgK92jR48YgGUfj8eTUbuSDgC7fv16VrHPnDnDtmzZwkwmE9uwYQNzuVzswYMHWWlXwujHFiqfCQaN5QoGGSoYZKhgkKGCQYYKBhkqGGSoYJChgkGGCgYZKhhkqGCQoYLxLxtnx2wCanYJAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sums of all variants: [4599, 4599, 4599, 4599] => ALL SAME!\n",
      "------------------------------\n",
      "All variants of shape 12:\n",
      "------------------------------\n",
      "Matrix:\n",
      "[[  0  16   8   4]\n",
      " [ 16  56  13   6]\n",
      " [ 48 121 143 262]\n",
      " [112 249 399 262]\n",
      " [112 233 391 258]\n",
      " [ 96 193 386 256]\n",
      " [ 64 128 256   0]]\n",
      "Sum: 4088\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  28  28  12   4   0]\n",
      " [ 32  49  59  63  31  14   4]\n",
      " [ 64 224 481 483 419 259   2]\n",
      " [  0  64 192 448 448 384 256]]\n",
      "Sum: 4088\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[  0  16   8   4]\n",
      " [ 16  56  13   6]\n",
      " [ 48 121 143 262]\n",
      " [112 249 399 262]\n",
      " [112 233 391 258]\n",
      " [ 96 193 386 256]\n",
      " [ 64 128 256   0]]\n",
      "Sum: 4088\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  28  28  12   4   0]\n",
      " [ 32  49  59  63  31  14   4]\n",
      " [ 64 224 481 483 419 259   2]\n",
      " [  0  64 192 448 448 384 256]]\n",
      "Sum: 4088\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sums of all variants: [4088, 4088, 4088, 4088] => ALL SAME!\n",
      "------------------------------\n",
      "All variants of shape 13:\n",
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  12   4   0   0   0]\n",
      " [ 48  57  31  14   4   0   0]\n",
      " [ 96 241 443 287  14   4   0]\n",
      " [ 64 224 497 443 287  14   4]\n",
      " [  0  64 224 497 443 271   6]\n",
      " [  0   0  64 224 481 387 258]\n",
      " [  0   0   0  64 192 384 256]]\n",
      "Sum: 6643\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[  0   0   0  16  24  12   4]\n",
      " [  0   0  16  56  61  15   6]\n",
      " [  0  16  56 125 239 391 258]\n",
      " [ 16  56 125 239 455 386 256]\n",
      " [ 48 121 239 455 386 256   0]\n",
      " [ 96 225 451 386 256   0   0]\n",
      " [ 64 192 384 256   0   0   0]]\n",
      "Sum: 6643\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sums of all variants: [6643, 6643] => ALL SAME!\n",
      "------------------------------\n",
      "All variants of shape 14:\n",
      "------------------------------\n",
      "Matrix:\n",
      "[[  0   0  16  24  28  12   4   0   0]\n",
      " [  0  16  56  61  63  31  14   4   0]\n",
      " [  0  48 105 231 483 435 283  14   4]\n",
      " [ 16 120 221 478 476 508 445 271   6]\n",
      " [ 32  97 163 291  35 115 251 399 262]\n",
      " [ 64 192 448 448 448 480 481 387 258]\n",
      " [  0   0   0   0   0  64 192 384 256]]\n",
      "Sum: 10220\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[  0   0  16  24  28  12   4]\n",
      " [  0  16  56  61  63  15   6]\n",
      " [ 16  56 109 247 491 391 258]\n",
      " [ 48 121 207 502 457 390 256]\n",
      " [112 249 399 374 137 262   0]\n",
      " [ 96 241 411 382 141 262   0]\n",
      " [ 64 224 417 371 139 262   0]\n",
      " [  0  64 192 480 385 258   0]\n",
      " [  0   0   0  64 128 256   0]]\n",
      "Sum: 10220\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[ 16  24  12   4   0   0   0   0   0]\n",
      " [ 48  57  31  30  28  28  28  12   4]\n",
      " [112 249 431 295  35  51  43   7   2]\n",
      " [ 96 241 475 478 476 508 461 390 256]\n",
      " [ 64 224 433 315  63 111 135 258   0]\n",
      " [  0  64 224 481 483 451 386 256   0]\n",
      " [  0   0  64 192 448 384 256   0   0]]\n",
      "Sum: 10220\n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "------------------------------\n",
      "Matrix:\n",
      "[[  0  16   8   4   0   0   0]\n",
      " [  0  48  25  30  12   4   0]\n",
      " [  0 112 169 311  27  14   4]\n",
      " [  0 112 201 502 441 271   6]\n",
      " [  0 112 137 374 249 399 262]\n",
      " [ 16 120 157 382 237 391 258]\n",
      " [ 48 121 191 367 199 386 256]\n",
      " [ 96 225 483 451 386 256   0]\n",
      " [ 64 192 448 384 256   0   0]]\n",
      "Sum: 10220\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAF0AAAB+CAYAAABGSR1bAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAMEUlEQVR4nO2dbWxT1R/Hv135t3sqhY1trNm6EdzGeBgPKyXLiDA3NFOYGkMMmaGZRqPpdFhM/I8XAjHS+QIzowsgKLyaI0qqxGTgrGzLgpW2swnPjqdskj04J+1aocP2/F+Q1X/p0z1tby/e3k9yX9zT3zn3129uT+/53XN+R0QIIRBIKClcO5CMCKJzgCA6Bwiic4AgOgcIonOAIDoHCKJzgCA6Bwiic0BUond0dKC4uBipqalYt24dzp07F2+/+A2hpKuri0gkEvLFF1+QixcvkldffZXMmzePjI+P0zaVtFCLrlariVar9Z17PB6iUCiIXq+Pq2N8Zg7Nr2JmZgZWqxWtra2+spSUFNTV1eGnn34KWsftdsPtdvvOvV4vpqamkJ2dDZFIFOXv89GEEILp6WkoFAqkpITuualEn5ychMfjQV5enl95Xl4erly5ErSOXq/H3r17aS7zr2dkZAQFBQUhP6cSPRpaW1uh0+l853a7HUqlEiMjI5g7d27YurYxG06eOYn9t/YzutbO4p1oqGnAqoWrItpaLBaoVCpG7TK1dTgcKCwshEwmC2tHJfqCBQsgFosxPj7uVz4+Po6FCxcGrSOVSiGVSgPK586dG1H0TFcmpGlSIJWZf9I0KTJlmRHbBYCMjAxGdrS2ACJ2m1SPjBKJBJWVlTAajb4yr9cLo9GIqqoqmqaSGuruRafTQaPRQKVSQa1Wo729HS6XC01NTWz4x0uoRX/xxRfx+++/47333sPY2BhWrVqFU6dOBfy5CoQmqj/S5uZmNDc3x9uXpIE6DNDf348tW7ZAoVBAJBLhm2++YcEtfkMtusvlwsqVK9HR0cGGP0kBdfdSX1+P+vp6NnxJGlgfHD0cBnA4HKxe7/LkZUZ2U3enMDg6yMj2r/t/xeJSAKyLHioMYLFYkJGREbbu1N0plKSXYNeiXYyuVZJegku/XMIlXGJkOzA8wKjd0vRSnBk4g/T/pIe1c7lcjNpLeBhgdqisUqkijvIGRwcxMDyAfTf3MbrWrkW7WLNdsXgF1uSvCWvH9FfMuuihwgDJjPC6jgOo73Sn04lr1675zm/evAmbzYasrCwolcq4OsdXqEW3WCyoqanxnc/21xqNBseOHYubY3yGWvSNGzeCCFPaY4KqT9fr9Vi7di1kMhlyc3Px3HPP4erVq2z5xluoRO/r64NWq4XJZEJPTw/u37+PJ598kvHzqcADqLqXU6dO+Z0fO3YMubm5sFqtePzxx+PqGJ+J6TndbrcDALKyskLaJDoMwBZMwgvOaSejtkQkyn9Fr9eLhoYG3LlzBwMDoYfTe/bsCRoGMBqNjMIA45PjGPpriJFPJeklnNq677qx//X9sNvtYUfbUYv+xhtvoLu7GwMDA2GnGwS70wsLCyM6BjwIA5zoOUE1XF+6einKF5SHtbs8eRmXfrkU/5DBPQBtiPjdon5z9N1336G/vz+s4EDiwwDlC8ojxkgAMAqKsQWV6IQQvPnmmzAYDOjt7cWiRYvY8ovXUImu1WrR2dmJb7/9FjKZDGNjYwAAuVyOtLQ0VhzkI1TP6QcOHIDdbsfGjRuRn5/vO44fP86Wf7yEunsRiB3qO72iosI3Ja6qqgrd3d1s+cZbqEQvKChAW1sbrFYrLBYLnnjiCTz77LO4ePEiW/7xEqruZcuWLX7nH3zwAQ4cOACTyYRly5bF1TE+E3UYwOPx4KuvvoLL5Qo7eZQvYYB4Qj0iPX/+PKqqqnDv3j1kZmais7MTTz/9dEj7RIcB8hbkISstdCwo2nY5DQPMzMxgeHgYdrsdX3/9NY4cOYK+vj4sXbo0uCMJDgO8sOmFiCPSaNrlNAwgkUjw2GOPAQAqKythNpvx8ccf49ChQ0HthdkAgcQ8G8Dr9frdyQKRobrTW1tbUV9fD6VSienpaXR2dqK3txenT59myz9eQiX6xMQEtm/fjtHRUcjlclRUVOD06dPYtGkTW/7xEirRP//8c7b8SCpi6tPb2togEomwY8eOOLmTHEQtutlsxqFDh1BRURFPf5KCqER3Op1obGzE4cOHMX/+/Hj7xHuiEl2r1eKZZ55BXV1dRFu32w2Hw+F3JDvUg6Ouri4MDg7CbDYzsk/0ooDxq+P4efjnuLfLxNZ91439iLyknkr0kZERtLS0oKenB6mpzNaOJ3pRQEVZBaMwACuLDe4xao5OdKvViomJCaxZ88+X8ng86O/vx6effgq32w2xWOxXRwgDBEIlem1tLc6fP+9X1tTUhCVLluDdd98NEFwgOFSiy2QyLF++3K8sIyMD2dnZAeUCoRGWv3BAzAu9ent74+BGckF1p+/ZswcikcjvWLJkCVu+8RbqO33ZsmX44Ycf/mlgDuurInkHtWJz5swJmTpKgBnUog8NDUGhUCA1NRVVVVXQ6/VhlzKGmg1gG7Mh05UZ9lpM1/nT1omm3XhC9WK6u7sbTqcTZWVlGB0dxd69e3H79m1cuHAhZIa2ULMBdh7c+SApWgS4nuhPY8v6ogAAuHPnDoqKivDRRx/hlVdeCe5IiNkA+C8YZaFjc71/vBcbOKed2FC2gZ1FAbPMmzcPpaWlfiuoH4YvYQAmiw0cGcwiqDENjpxOJ65fv478/PxYmkk6qER/55130NfXh1u3buHs2bN4/vnnIRaLsW3bNrb84yVU3ctvv/2Gbdu24Y8//kBOTg7Wr18Pk8mEnJwctvzjJVSid3V1seVHUkHdp9++fRsvvfQSsrOzkZaWhhUrVsBisbDhG2+hutP//PNPVFdXo6amBt3d3cjJycHQ0JDwcpoSKtE//PBDFBYW4ujRo74yYVkjPVTdy8mTJ6FSqbB161bk5uZi9erVOHz4cNg6wmyAQKhGpLMvo3U6HbZu3Qqz2YyWlhYcPHgQGo0maB0+hAFK00uhXKhklCKwtrY2vmEAiUQClUqFs2fP+sreeustmM1mxntiPEphACZDewCwX7ejZn1NRDuHwwG5XB7fMEB+fn7Aiovy8nKcOHEiZJ1HOQzANI9ApHk0tFD16dXV1QHpo3799VcUFRXF1Sm+QyX622+/DZPJhH379uHatWvo7OzEZ599Bq1Wy5Z/vIRK9LVr18JgMODLL7/E8uXL8f7776O9vR2NjY1s+cdLqEO7mzdvxubNm9nwJWkQ5r1wgCA6Bwiic0DCJ634xmIMl56677oZT0GmtXVOOxm9YnO5XIzCF7M2kcabMb2YjoYbN25g8eLFibxkwuF8w8CHmU2cOTw8DLlcHtZ2NmTAZHPBR8H2/7fGDEfCRZ/dp1MulzPehI/J5oKPim2kGwkQ/kg5QRCdAxIuulQqxe7duxlFHv9ttkxJ+NOLgNC9cIIgOgcIonOAIDoHJFT0jo4OFBcXIzU1FevWrcO5c+eC2jHdaJZmN5pYUtbGO69NwkQ/fvw4dDoddu/ejcHBQaxcuRJPPfUUJiYmAmyZbjRLsxtNtClrWclrQxKEWq0mWq3Wd+7xeIhCoSB6vT5sPQDEYDAwusbExAQBQPr6+hjZz58/nxw5ciTk59PT06SkpIT09PSQDRs2kJaWFkbtRiIhd/rMzAysVqtffpiUlBTU1dWFnC8TDUx2owEeJJHo6uqKmLKWJq8NDQkJeE1OTsLj8QRsc5+Xl4crV67E5Rperxc7duxAdXV1yDwFD6esNRgMITOn0ua1oYE3K2+1Wi0uXLgQdvufsrIy2Gw2X8pajUYTNGVtNHltqIhLJxUBt9tNxGJxQN+8fft20tDQELYuGPTpWq2WFBQUkBs3blD5VVtbS1577bWAcoPBQAAQsVjsOwAQkUhExGIx+fvvv6mu8zAJ6dMlEgkqKythNBp9ZV6vF0ajMWyfGglCCJqbm2EwGPDjjz9ST9sOlbJ2Nq+NzWbzHSqVCo2NjbDZbDHntUlY96LT6aDRaKBSqaBWq9He3g6Xy4WmpqYAW6YbzdLsRkOTspb1vDYx/U4o+eSTT4hSqSQSiYSo1WpiMpmC2p05c4YACDg0Go2fXTAbAOTo0aMBbb788sukqKiISCQSkpOTQ2pra8n333/P2Pd4PjIKoV0OEGIvHCCIzgGC6BwgiM4BgugcIIjOAYLoHCCIzgGC6BwgiM4BgugcIIjOAf8DHYvEOWlLiRsAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 100x100 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Sums of all variants: [10220, 10220, 10220, 10220] => ALL SAME!\n"
     ]
    }
   ],
   "source": [
    "# calculate the feature matrices and fingerprints for each variant of each shape\n",
    "for i, shape in enumerate(all_shapes):\n",
    "    sums = []\n",
    "    print(\"-\" * 30)\n",
    "    print(f\"All variants of shape {i}:\")\n",
    "    for variant in shape:\n",
    "        feature_mtx = calc_feature_mtx(variant)\n",
    "        print(\"-\" * 30)\n",
    "        print(\"Matrix:\")\n",
    "        print(feature_mtx)\n",
    "        sums.append(np.sum(feature_mtx))\n",
    "        print(f\"Sum: {sums[-1]}\")\n",
    "        draw_shape(variant)\n",
    "\n",
    "    result = 'ALL SAME!' if len(set(sums)) == 1 else \"<<< DIFFERENT! >>>\"\n",
    "    print(f\"Sums of all variants: {sums} => {result}\")"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.10"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}