{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Gaussian Boson Sampling"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Gaussian Boson Sampling can be performed as shown by the following example:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Samples: [[0 0 0 0 0]\n",
      " [4 0 0 3 1]\n",
      " [1 0 1 2 0]\n",
      " ...\n",
      " [0 0 1 1 0]\n",
      " [1 1 1 2 1]\n",
      " [1 1 0 0 0]]\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import piquasso as pq\n",
    "\n",
    "\n",
    "d = 5\n",
    "shots = 1000\n",
    "\n",
    "A = np.array(\n",
    "    [\n",
    "        [0, 1, 0, 1, 1],\n",
    "        [1, 0, 0, 0, 1],\n",
    "        [0, 0, 0, 1, 0],\n",
    "        [1, 0, 1, 0, 1],\n",
    "        [1, 1, 0, 1, 0],\n",
    "    ]\n",
    ")\n",
    "\n",
    "with pq.Program() as gaussian_boson_sampling:\n",
    "    pq.Q(all) | pq.Graph(A)\n",
    "\n",
    "    pq.Q(all) | pq.ParticleNumberMeasurement()\n",
    "\n",
    "\n",
    "simulator = pq.GaussianSimulator(d=d)\n",
    "\n",
    "result = simulator.execute(gaussian_boson_sampling, shots=shots)\n",
    "\n",
    "print(\"Samples:\", result.samples)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The generated samples could be used to acquire some denser subgraphs of the generated graph with"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Subgraphs: [[], [0, 0, 0, 0, 3, 3, 3, 4], [0, 2, 3, 3], [], [0, 3, 3, 4], [0, 1, 3, 4], [0, 1, 3, 4], [], [], [0, 0, 0, 3, 3, 4, 4, 4], [0, 3, 4, 4], [0, 0, 0, 1, 1, 3], [0, 1], [], [0, 0, 0, 1, 1, 4], [0, 0, 0, 3, 3, 3, 4, 4], [0, 3, 4, 4], [], [], [], [0, 4], [], [0, 0, 3, 3, 4, 4], [], [0, 0, 1, 4], [], [2, 3, 3, 4], [0, 3], [0, 0, 0, 1, 2, 3, 3, 3, 3, 4, 4, 4], [2, 3], [2, 3], [1, 4], [0, 1, 3, 4], [0, 0, 0, 0, 1, 1, 3, 4], [0, 0, 4, 4], [3, 4], [0, 1, 3, 3, 4, 4, 4, 4], [0, 0, 0, 1, 2, 3, 3, 4], [], [0, 0, 1, 1], [0, 1, 3, 4, 4, 4], [2, 2, 3, 3, 3, 4], [], [3, 4], [0, 0, 0, 0, 3, 3, 3, 3, 4, 4, 4, 4], [], [0, 4], [0, 0, 0, 0, 1, 1, 3, 4, 4, 4], [], [0, 1, 3, 4], [2, 3], [0, 4], [1, 2, 3, 4], [0, 0, 1, 3, 4, 4], [], [], [], [0, 4], [], [0, 1, 1, 1, 2, 3, 4, 4], [0, 4], [], [], [], [0, 3, 3, 4], [], [0, 0, 1, 4], [2, 3], [], [], [0, 0, 0, 0, 1, 1, 2, 3, 3, 4, 4, 4], [0, 0, 1, 3, 3, 4, 4, 4], [], [0, 1, 1, 4], [0, 1], [0, 4], [3, 4], [], [0, 0, 0, 0, 1, 1, 3, 3, 4, 4, 4, 4], [], [], [0, 2, 3, 4], [0, 3], [0, 0, 1, 1, 3, 4], [0, 0, 0, 0, 1, 1, 1, 3, 4, 4, 4, 4], [1, 4], [0, 1], [0, 1, 3, 4], [], [3, 4], [0, 1, 3, 4, 4, 4], [0, 0, 0, 0, 1, 1, 2, 3, 3, 3, 4, 4], [], [0, 0, 0, 1, 3, 4], [0, 0, 0, 0, 1, 1, 1, 3, 3, 3, 4, 4, 4, 4], [0, 4], [], [0, 0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 4], [], [0, 4], [0, 0, 0, 1, 3, 3, 3, 4], [], [0, 0, 3, 3, 3, 4, 4, 4], [0, 0, 0, 1, 1, 1, 3, 3, 4, 4, 4, 4], [0, 2, 3, 3], [0, 0, 0, 1, 2, 3, 3, 3, 3, 4], [0, 0, 1, 3, 3, 3, 4, 4, 4, 4], [0, 0, 0, 1, 3, 3, 4, 4], [], [], [0, 0, 0, 1, 1, 2, 2, 3, 3, 3, 4, 4], [], [0, 0, 0, 1, 1, 1, 3, 3, 3, 4, 4, 4], [0, 0, 1, 1, 3, 4, 4, 4], [0, 0, 1, 2, 3, 3], [0, 0, 2, 3, 3, 3, 3, 4], [], [0, 0, 0, 1, 1, 1, 3, 3, 3, 4, 4, 4], [0, 3], [], [], [0, 0, 0, 1, 1, 3, 3, 3, 3, 4, 4, 4], [0, 0, 4, 4], [0, 0, 0, 1, 4, 4], [], [0, 0, 0, 0, 1, 1, 4, 4, 4, 4], [2, 3, 3, 4], [0, 0, 3, 3], [0, 1, 2, 3, 3, 4], [1, 4], [], [0, 2, 3, 4], [2, 3], [], [], [], [0, 3], [0, 0, 0, 0, 1, 1, 3, 3], [0, 0, 0, 1, 1, 1, 4, 4], [1, 4], [0, 0, 0, 3, 3, 3], [1, 4], [0, 0, 1, 3], [0, 0, 2, 3, 3, 3, 4, 4], [0, 0, 0, 1, 1, 1, 1, 4], [0, 0, 1, 3], [], [0, 4], [], [0, 4], [0, 0, 1, 1, 2, 2, 3, 3, 3, 4], [], [1, 4], [0, 0, 0, 0, 1, 2, 3, 3, 3, 4, 4, 4], [], [], [0, 1, 4, 4], [], [3, 4], [0, 0, 0, 0, 1, 1, 4, 4, 4, 4], [], [], [0, 1, 3, 3, 4, 4], [0, 0, 3, 4], [], [0, 1, 3, 3, 4, 4], [0, 0, 0, 0, 1, 3, 3, 4], [2, 3, 3, 4], [0, 3], [3, 4], [], [0, 0, 0, 0, 1, 1, 3, 3], [1, 4], [0, 1], [0, 0, 3, 3, 3, 3, 4, 4], [0, 3], [0, 1], [0, 0, 0, 1, 4, 4], [], [], [0, 0, 2, 2, 3, 3, 3, 4], [], [0, 0, 3, 4], [0, 0, 0, 1, 3, 4, 4, 4], [0, 3], [0, 0, 1, 3, 3, 3, 4, 4, 4, 4], [], [0, 0, 2, 2, 3, 3, 3, 3], [0, 0, 0, 0, 1, 1, 3, 3, 4, 4, 4, 4], [0, 0, 1, 1], [], [0, 1, 3, 4], [0, 0, 0, 1, 1, 3, 4, 4], [], [0, 0, 0, 1, 1, 1, 2, 3, 3, 4], [0, 0, 1, 3, 3, 4, 4, 4], [], [0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4], [0, 0, 2, 3, 3, 3, 3, 4, 4, 4], [3, 4], [0, 0, 0, 1, 1, 1, 1, 3, 3, 4, 4, 4], [0, 1], [0, 4], [0, 1, 1, 2, 3, 3, 4, 4], [], [2, 3, 3, 4], [], [], [0, 4], [0, 0, 0, 1, 3, 3], [0, 4], [], [2, 3], [3, 3, 3, 4, 4, 4], [0, 4], [2, 3], [0, 0, 2, 3, 3, 3, 4, 4], [], [], [0, 0, 0, 1, 1, 1, 3, 4, 4, 4], [0, 3], [0, 0, 0, 1, 1, 2, 3, 3, 4, 4], [], [2, 3], [3, 4], [0, 0, 0, 0, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4], [0, 1], [], [], [], [], [0, 1, 1, 3, 3, 4, 4, 4], [0, 3], [0, 1, 4, 4], [], [], [], [], [0, 1, 1, 3, 4, 4, 4, 4], [0, 0, 1, 1, 2, 3, 4, 4], [], [], [0, 1, 1, 3, 4, 4], [], [0, 0, 0, 1, 2, 3, 3, 3, 4, 4, 4, 4], [2, 3], [0, 3], [3, 4], [], [], [0, 4], [], [1, 4], [], [0, 1, 3, 4], [0, 0, 0, 1, 3, 3], [], [3, 4], [0, 0, 1, 2, 3, 3, 4, 4], [0, 0, 0, 1, 1, 3, 3, 3, 4, 4, 4, 4], [0, 0, 0, 1, 1, 1, 3, 3, 4, 4], [], [1, 3, 4, 4], [0, 0, 1, 2, 2, 3, 3, 3, 4, 4], [0, 0, 1, 1, 1, 4, 4, 4], [], [], [0, 3], [], [0, 2, 3, 3], [], [0, 0, 1, 3, 4, 4], [], [], [0, 0, 0, 1, 1, 1, 3, 4], [], [0, 0, 0, 1, 3, 4], [3, 4], [0, 1, 4, 4], [0, 1], [0, 0, 0, 1, 2, 3, 3, 4], [0, 1], [], [2, 3], [], [], [0, 0, 1, 3], [0, 0, 0, 4, 4, 4], [], [], [0, 0, 0, 0, 2, 3, 3, 3, 4, 4], [0, 2, 3, 3, 4, 4], [0, 0, 1, 3, 4, 4], [0, 0, 0, 0, 1, 1, 3, 3, 3, 4, 4, 4], [0, 1, 1, 3, 3, 4, 4, 4], [0, 0, 1, 3], [0, 0, 1, 2, 3, 4], [0, 0, 1, 1, 2, 3, 3, 4], [0, 0, 0, 1, 3, 3, 4, 4], [0, 0, 1, 4], [], [0, 3, 4, 4], [2, 2, 2, 3, 3, 3], [0, 0, 3, 3, 4, 4], [0, 1, 2, 2, 3, 3, 3, 3, 4, 4], [0, 4], [0, 2, 3, 4], [0, 4], [0, 1], [0, 2, 2, 3, 3, 3, 3, 4], [0, 0, 0, 1, 1, 1, 3, 4, 4, 4], [], [0, 0, 1, 3, 3, 4], [1, 4], [], [0, 3, 3, 4], [0, 4], [2, 3], [], [0, 3], [0, 0, 1, 4], [0, 1], [0, 0, 0, 0, 1, 1, 1, 2, 3, 3, 4, 4], [0, 0, 1, 3, 4, 4], [0, 1], [0, 0, 0, 0, 1, 1, 1, 2, 3, 3, 3, 3, 4, 4], [0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 4, 4], [], [0, 0, 1, 3, 4, 4], [0, 0, 2, 2, 3, 3, 3, 4], [0, 3], [0, 0, 0, 0, 1, 1, 3, 3, 4, 4, 4, 4], [0, 0, 0, 1, 1, 3, 3, 3, 4, 4], [], [], [0, 0, 1, 1, 1, 4], [3, 4], [], [0, 1, 1, 2, 3, 3, 3, 3, 4, 4, 4, 4], [], [], [0, 0, 1, 1, 4, 4], [0, 1, 3, 3, 4, 4], [1, 4], [0, 4], [], [0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 4, 4, 4, 4], [], [0, 2, 2, 2, 3, 3, 3, 3], [], [0, 3], [0, 0, 1, 1], [0, 4], [0, 3, 4, 4], [0, 4], [0, 2, 3, 3], [], [0, 3], [], [], [], [0, 0, 1, 2, 3, 3], [0, 0, 1, 1], [0, 4], [2, 3], [], [], [0, 1], [3, 4], [3, 3, 4, 4], [], [], [0, 1], [3, 4], [0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 4, 4, 4, 4], [], [0, 3], [0, 0, 1, 1, 3, 4], [], [], [0, 0, 0, 2, 3, 3, 3, 3, 4, 4, 4, 4], [3, 3, 4, 4], [1, 4], [2, 3], [0, 1, 3, 4], [0, 0, 4, 4], [1, 4], [0, 1, 2, 2, 3, 3, 3, 4], [0, 0, 0, 1, 3, 4, 4, 4], [0, 0, 0, 1, 1, 3, 3, 4, 4, 4], [0, 0, 3, 3, 3, 4], [0, 2, 2, 3, 3, 3, 4, 4], [], [0, 0, 0, 0, 1, 1, 1, 3, 4, 4, 4, 4], [0, 3, 4, 4], [], [0, 0, 0, 0, 1, 3, 4, 4, 4, 4], [0, 4], [0, 2, 3, 3], [0, 0, 1, 3, 3, 4, 4, 4], [0, 4], [1, 2, 3, 4], [0, 3, 4, 4], [0, 4], [0, 1], [0, 0, 0, 0, 1, 2, 3, 3, 3, 4, 4, 4], [0, 0, 0, 1, 3, 3, 3, 4], [0, 0, 1, 3, 4, 4], [0, 1, 4, 4], [0, 4], [0, 0, 0, 1, 1, 2, 3, 3, 3, 3, 4, 4, 4, 4], [], [], [], [0, 4], [0, 4], [0, 0, 0, 1, 3, 4], [0, 0, 0, 0, 1, 4, 4, 4], [], [1, 4], [0, 1, 1, 1, 4, 4], [1, 1, 4, 4], [0, 0, 0, 0, 2, 3, 3, 4, 4, 4], [], [0, 1, 3, 4, 4, 4], [0, 1], [], [0, 0, 0, 1, 2, 3, 3, 3, 3, 4, 4, 4], [], [0, 0, 0, 1, 4, 4], [0, 0, 0, 0, 1, 1, 3, 3, 3, 4], [0, 2, 3, 3], [], [0, 0, 1, 4], [], [0, 3], [0, 4], [], [0, 0, 1, 3], [0, 0, 0, 0, 1, 2, 3, 3, 3, 3, 4, 4], [0, 0, 1, 3, 4, 4], [0, 4], [], [0, 1, 1, 4, 4, 4], [], [], [0, 0, 0, 1, 1, 1], [], [1, 4], [3, 4], [0, 0, 0, 0, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4], [0, 0, 0, 0, 1, 3, 4, 4, 4, 4], [], [0, 1, 2, 3, 3, 4], [], [0, 1, 3, 4], [3, 4], [3, 4], [0, 0, 1, 1, 2, 3, 3, 3, 4, 4, 4, 4], [3, 4], [3, 4], [], [0, 1], [0, 0, 0, 1, 3, 4, 4, 4], [], [], [0, 0, 0, 0, 1, 1, 1, 2, 3, 3, 3, 3, 4, 4, 4, 4], [], [], [0, 4], [0, 1], [0, 0, 0, 1, 1, 1, 2, 3, 3, 3, 4, 4, 4, 4], [2, 2, 3, 3], [0, 1, 4, 4], [], [], [2, 3], [0, 0, 0, 0, 1, 1, 1, 3, 3, 4, 4, 4], [0, 0, 3, 4], [3, 4], [0, 0, 0, 1, 1, 1, 4, 4], [], [0, 0, 0, 0, 3, 3, 4, 4, 4, 4], [0, 4], [0, 1, 1, 1, 4, 4], [2, 2, 3, 3], [0, 4], [], [], [], [1, 4], [0, 1, 3, 4], [0, 0, 0, 1, 3, 4], [1, 4], [0, 0, 1, 3], [], [1, 4], [0, 0, 3, 4], [0, 3], [0, 0, 0, 1, 3, 3, 3, 3, 4, 4, 4, 4], [], [1, 4], [], [0, 0, 0, 1, 1, 4], [2, 3], [1, 4], [], [], [], [0, 4], [0, 2, 3, 3], [], [], [1, 4], [0, 1, 1, 3, 3, 4, 4, 4], [0, 0, 0, 1, 2, 3, 3, 3, 4, 4, 4, 4], [1, 3, 4, 4], [0, 0, 0, 1, 1, 2, 3, 3, 4, 4], [], [], [0, 0, 1, 2, 3, 3, 3, 4], [0, 0, 2, 2, 3, 3, 3, 3], [0, 3, 3, 4], [], [], [], [0, 1], [], [], [0, 0, 1, 1], [1, 4], [], [0, 0, 1, 1, 3, 4], [0, 0, 0, 1, 1, 1, 2, 3, 3, 3, 4, 4, 4, 4], [0, 0, 0, 1, 3, 4], [], [2, 3, 3, 4], [0, 0, 0, 2, 3, 3, 3, 4, 4, 4], [0, 1, 2, 3, 3, 3, 3, 4, 4, 4], [0, 0, 1, 2, 3, 3, 3, 4], [], [0, 0, 4, 4], [], [0, 1, 1, 2, 2, 3, 3, 4], [], [0, 0, 0, 1, 3, 4, 4, 4], [3, 4], [], [], [0, 0, 0, 1, 3, 3], [2, 3], [], [], [0, 4], [], [], [0, 1], [], [0, 0, 0, 1, 3, 4, 4, 4], [2, 3], [], [1, 3, 3, 4, 4, 4], [0, 2, 3, 3], [0, 0, 3, 3], [], [], [0, 0, 0, 1, 1, 1, 4, 4, 4, 4], [0, 1, 1, 2, 3, 3, 4, 4, 4, 4], [0, 1, 3, 4], [2, 3], [0, 4], [3, 4], [2, 3, 3, 4], [0, 3], [0, 1, 1, 4], [0, 0, 4, 4], [], [2, 3, 3, 4], [0, 0, 0, 3, 3, 4], [], [0, 3, 4, 4], [0, 0, 1, 1, 3, 3, 3, 4, 4, 4], [], [], [0, 1, 1, 2, 3, 4], [0, 0, 1, 3], [], [0, 0, 2, 2, 3, 3, 3, 4], [], [0, 1, 2, 3, 3, 4], [0, 0, 0, 1, 3, 4, 4, 4], [0, 1], [0, 0, 1, 2, 3, 3], [], [0, 3], [0, 0, 0, 0, 1, 1, 1, 3, 3, 3, 4, 4, 4, 4], [0, 3], [0, 0, 1, 1, 2, 2, 3, 3, 3, 3, 4, 4], [3, 4], [0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 4, 4, 4, 4], [], [], [0, 0, 3, 3, 4, 4], [1, 4], [1, 4], [0, 1, 4, 4], [0, 1, 1, 2, 2, 3, 3, 3, 4, 4], [], [], [0, 0, 0, 1, 3, 3], [0, 0, 0, 1, 3, 3, 4, 4], [0, 0, 1, 1, 3, 4], [0, 3, 4, 4], [], [], [1, 4], [0, 0, 0, 0, 1, 2, 3, 3, 4, 4], [0, 3, 3, 4], [0, 0, 0, 0, 1, 1, 1, 3, 3, 4, 4, 4], [0, 3, 3, 4], [0, 0, 0, 1, 1, 3, 4, 4], [], [1, 4], [0, 1, 3, 4], [], [], [0, 0, 1, 1], [0, 1, 3, 3, 4, 4, 4, 4], [0, 1, 2, 2, 2, 3, 3, 3], [2, 3], [0, 0, 0, 1, 3, 3, 4, 4], [2, 2, 3, 3], [], [0, 0, 0, 0, 1, 1, 3, 3, 3, 4, 4, 4], [1, 4], [0, 1, 1, 4], [], [], [1, 4], [], [0, 0, 3, 4, 4, 4], [0, 4], [0, 1], [0, 0, 1, 3], [3, 4], [0, 0, 1, 3, 4, 4], [0, 3, 4, 4], [0, 1], [0, 0, 2, 3, 3, 4], [0, 3, 4, 4], [3, 4], [0, 1, 4, 4], [0, 3], [0, 0, 0, 0, 1, 1, 1, 3, 4, 4], [1, 3, 4, 4], [1, 4], [0, 1, 1, 2, 3, 4], [0, 0, 0, 2, 3, 3, 3, 3, 4, 4, 4, 4], [1, 1, 2, 3, 3, 3, 3, 4, 4, 4, 4], [0, 0, 1, 1, 3, 4], [0, 0, 0, 1, 1, 3, 3, 3, 4, 4], [], [2, 3], [2, 3], [], [0, 1, 1, 4], [], [0, 1, 2, 3], [0, 3, 4, 4], [], [0, 0, 3, 3, 4, 4, 4, 4], [], [0, 0, 1, 4], [], [], [], [0, 0, 0, 0, 1, 3, 3, 4, 4, 4], [0, 0, 0, 1, 1, 4], [0, 0, 0, 0, 1, 1, 2, 3, 3, 3, 3, 4, 4, 4], [0, 4], [0, 1, 1, 4], [], [], [0, 0, 0, 1, 1, 1, 4, 4], [0, 3], [], [], [0, 1], [0, 4], [], [0, 1], [0, 0, 3, 3, 4, 4], [], [], [3, 4], [], [0, 0, 0, 0, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4], [3, 4], [0, 0, 0, 0, 1, 1, 1, 3, 4, 4], [0, 0, 1, 3, 3, 4, 4, 4], [0, 0, 0, 1, 2, 2, 3, 3, 3, 3, 4, 4], [1, 4], [], [0, 0, 0, 1, 1, 1, 2, 3, 3, 4, 4, 4], [0, 1], [0, 0, 1, 3], [], [], [0, 0, 0, 0, 1, 1, 2, 3, 3, 3, 4, 4], [0, 1, 3, 3, 4, 4, 4, 4], [0, 1, 1, 2, 3, 3, 3, 4, 4, 4], [0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 3, 3, 4, 4, 4, 4], [0, 1, 1, 3, 4, 4], [0, 0, 0, 1, 1, 4], [], [0, 0, 0, 1, 1, 2, 3, 3, 3, 3, 4, 4], [], [0, 3], [], [0, 0, 2, 3, 3, 3], [0, 0, 0, 0, 1, 1, 2, 3, 3, 3, 4, 4], [1, 4], [], [0, 2, 3, 3], [0, 0, 0, 1, 1, 1, 2, 3, 3, 4, 4, 4], [0, 0, 1, 2, 3, 3], [0, 4], [3, 4], [0, 0, 3, 3, 3, 3, 4, 4], [0, 1, 2, 3, 3, 4], [2, 3], [], [0, 0, 1, 1, 3, 4, 4, 4], [3, 3, 4, 4], [0, 3], [0, 0, 1, 1], [], [0, 1, 3, 4], [0, 4], [0, 0, 2, 2, 3, 3, 3, 3], [], [], [], [], [], [], [], [0, 0, 1, 1, 2, 3, 4, 4], [], [], [0, 0, 0, 1, 3, 4], [0, 0, 0, 0, 1, 3, 3, 4, 4, 4], [0, 0, 0, 0, 1, 1, 1, 1, 3, 3, 3, 4, 4, 4], [], [0, 3], [0, 0, 0, 0, 1, 1, 1, 1, 4, 4], [], [0, 1, 3, 3, 4, 4], [0, 2, 3, 3, 4, 4], [0, 1, 3, 4], [0, 3], [2, 3], [], [], [], [0, 0, 0, 1, 1, 3, 3, 3, 4, 4, 4, 4], [0, 1, 1, 4], [], [0, 1], [0, 0, 0, 1, 1, 2, 3, 3, 3, 4], [0, 0, 1, 3, 4, 4], [], [], [], [], [2, 3], [0, 0, 0, 1, 2, 3, 3, 3, 4, 4], [2, 3], [], [0, 1, 1, 4], [0, 4], [], [0, 1, 1, 2, 3, 4], [0, 0, 3, 3, 3, 4], [0, 0, 0, 1, 1, 3, 4, 4], [], [3, 4], [0, 3, 3, 4], [0, 3], [], [2, 3, 3, 4], [0, 0, 0, 1, 1, 2, 3, 3, 4, 4], [], [2, 3], [2, 3], [0, 2, 3, 3, 3, 4], [], [0, 0, 1, 3], [0, 0, 3, 4], [0, 0, 1, 3, 3, 4, 4, 4], [], [], [0, 0, 4, 4], [1, 3, 4, 4], [1, 4], [0, 0, 0, 0, 1, 3, 3, 4], [], [], [], [], [0, 1, 3, 4], [0, 0, 1, 3], [], [0, 3], [0, 3, 3, 4], [0, 1], [0, 0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4], [1, 4], [], [0, 0, 0, 1, 1, 1, 1, 2, 3, 3, 3, 3, 4, 4, 4, 4], [0, 0, 1, 3, 3, 4], [0, 0, 1, 1, 1, 2, 2, 3, 3, 3, 3, 4, 4, 4], [], [], [], [0, 0, 0, 0, 1, 1, 2, 3, 3, 4], [], [0, 0, 0, 1, 1, 1, 1, 2, 3, 3, 3, 4, 4, 4], [0, 0, 1, 3, 4, 4], [1, 4], [1, 2, 3, 3, 4, 4], [], [0, 0, 1, 3], [], [], [0, 0, 0, 0, 1, 3, 3, 3, 4, 4], [0, 1, 1, 1, 3, 4, 4, 4], [0, 0, 1, 1, 3, 3, 3, 4, 4, 4], [], [3, 4], [0, 1], [0, 2, 3, 3], [0, 0, 0, 0, 1, 1, 3, 3, 3, 3, 4, 4], [0, 0, 0, 1, 1, 2, 3, 3, 3, 3, 4, 4], [0, 3], [2, 3], [], [], [0, 1], [], [], [], [0, 1, 2, 3, 3, 3, 3, 4, 4, 4], [0, 1], [], [0, 0, 1, 3, 3, 4], [], [], [], [], [0, 0, 0, 1, 3, 3, 4, 4], [1, 4], [], [0, 1], [0, 3], [1, 3, 3, 4, 4, 4], [0, 0, 1, 3, 3, 4, 4, 4], [], [0, 0, 2, 3, 3, 4], [0, 4], [0, 0, 1, 3], [2, 3], [0, 0, 0, 0, 1, 1, 1, 3, 3, 4, 4, 4], [0, 0, 0, 0, 1, 1, 2, 3, 3, 3, 3, 4, 4, 4], [0, 0, 3, 3], [0, 0, 1, 1, 2, 3, 3, 4], [0, 4], [3, 4], [2, 3], [0, 2, 3, 3, 3, 3, 4, 4], [], [0, 0, 0, 0, 1, 1, 3, 4, 4, 4], [], [], [0, 0, 1, 2, 3, 3], [], [3, 4], [1, 4], [], [0, 0, 1, 2, 3, 3, 4, 4], [3, 4], [], [0, 0, 1, 1, 4, 4, 4, 4], [0, 0, 1, 1, 3, 3, 3, 4, 4, 4], [], [0, 4], [], [0, 0, 1, 1, 3, 3, 3, 3, 4, 4, 4, 4], [0, 1, 1, 4], [2, 3], [0, 0, 1, 1, 1, 3, 4, 4, 4, 4], [1, 4], [], [0, 4], [1, 4], [2, 2, 3, 3, 3, 4], [], [0, 0, 0, 0, 1, 1, 3, 3, 3, 3, 4, 4, 4, 4], [0, 0, 3, 4], [0, 0, 4, 4], [], [0, 1, 4, 4], [0, 0, 0, 1, 1, 3, 3, 3, 4, 4], [0, 4], [0, 0, 0, 0, 1, 1, 3, 3, 3, 4, 4, 4], [1, 3, 3, 4, 4, 4], [], [0, 4], [0, 0, 3, 3, 3, 4], [], [], [0, 0, 0, 0, 1, 2, 3, 3, 3, 4], [], [0, 1, 2, 3, 3, 4], [0, 4], [0, 0, 2, 2, 3, 3, 3, 4], [], [1, 4], [3, 4], [1, 4], [0, 0, 1, 2, 3, 3, 3, 4], [0, 1, 3, 4, 4, 4], [2, 3], [0, 3, 3, 4], [0, 0, 1, 3, 3, 3, 4, 4], [0, 0, 0, 0, 1, 1, 1, 1, 3, 4, 4, 4], [], [0, 1, 1, 1, 2, 3, 3, 4, 4, 4], [], [2, 3], [0, 0, 0, 1, 1, 1, 1, 4], [0, 0, 0, 3, 3, 3, 4, 4], [], [], [0, 1, 3, 4], [2, 2, 3, 3, 3, 4], [0, 0, 0, 0, 1, 1, 3, 3, 3, 4], [0, 1, 3, 4], [0, 1], [0, 1, 1, 3, 4, 4], [0, 0, 1, 3], [], [0, 0, 1, 4], [], [0, 3, 3, 3, 3, 4, 4, 4], [0, 1], [0, 0, 1, 3, 4, 4], [2, 3], [0, 2, 3, 3, 3, 4], [1, 4], [0, 1], [], [0, 0, 0, 0, 1, 1, 1, 3, 3, 3, 4, 4, 4, 4], [0, 1, 3, 4], [0, 3, 4, 4], [0, 0, 0, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4], [2, 3], [], [3, 3, 4, 4], [0, 3], [0, 0, 1, 3, 3, 4, 4, 4], [0, 0, 0, 3, 3, 4], [0, 1, 4, 4], [3, 4], [0, 0, 1, 4], [], [], [0, 1, 2, 3, 3, 3, 4, 4], [], [], [], [3, 4], [], [0, 0, 0, 0, 1, 1, 3, 4, 4, 4], [0, 2, 3, 4], [0, 3], [], [1, 4], [0, 0, 2, 3, 3, 3, 4, 4], [], [0, 3, 4, 4], [0, 0, 1, 3, 4, 4], [], [], [], [2, 3, 3, 4], [0, 0, 0, 0, 1, 3, 3, 3, 3, 4], [2, 3], [0, 1, 2, 3, 3, 4], [0, 1]]\n"
     ]
    }
   ],
   "source": [
    "print(\"Subgraphs:\", result.to_subgraph_nodes())"
   ]
  }
 ],
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