lamp_group_evolution.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "from utils import create_lamp_grid, calculate_areas, original_calculate_areas, plot_lamps\n",
    "import random\n",
    "import numpy as np\n",
    "import copy\n",
    "import matplotlib.pyplot as plt\n",
    "import imageio"
   ]
  },
  {
   "attachments": {},
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Group Evolution"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# The individual generator\n",
    "def GE_i_generator(random, args):\n",
    "    return (random.uniform(0, 1), random.uniform(0, 1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# The group generator\n",
    "def GE_g_generator(nprandom, args):\n",
    "    num_individuals = args.get('num_individuals')\n",
    "    bound = args.get('bound_groups')\n",
    "    num_groups = args.get('num_groups')\n",
    "    \n",
    "    Times = [1] * num_individuals\n",
    "    cs = list(range(num_individuals))\n",
    "    groups = []\n",
    "    groups_set = set()\n",
    "    \n",
    "    i = 0\n",
    "    while i < num_groups:\n",
    "        num_lamps = nprandom.randint(bound[0], bound[1])\n",
    "        Weights = [1 / (Times[lamp] ** 2) for lamp in cs]\n",
    "        probabilities = [weight / sum(Weights) for weight in Weights]\n",
    "        chosen_lamps = nprandom.choice(cs, size=num_lamps, replace=False, p=probabilities)\n",
    "        chosen_lamps.sort()\n",
    "        chosen_lamps = tuple(chosen_lamps)\n",
    "        if chosen_lamps not in groups_set:\n",
    "            groups.append([None, chosen_lamps])\n",
    "            groups_set.add(chosen_lamps)\n",
    "            for lamp in chosen_lamps:\n",
    "                Times[lamp] += 1\n",
    "            i += 1\n",
    "    return groups"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# The group evaluator\n",
    "def GE_evaluator(groups, lamp_grid, index_to_cs, fitness_individuals, args):\n",
    "    grid_size = args.get('grid_size')\n",
    "    problem_size = args.get('problem_size')\n",
    "    weight_overlap = args.get('weight_overlap')\n",
    "    \n",
    "    for group in groups:\n",
    "        if group[0] is None:\n",
    "            lamps = [index_to_cs[lamp] for lamp in group[1]]\n",
    "            enlightened_area, overlap_area = calculate_areas(lamps, grid_size, problem_size, lamp_grid)\n",
    "            group[0] = enlightened_area - weight_overlap * overlap_area\n",
    "            for lamp in group[1]:\n",
    "                if lamp not in fitness_individuals:\n",
    "                    fitness_individuals[lamp] = group[0]\n",
    "                else:\n",
    "                    fitness_individuals[lamp] = max(fitness_individuals[lamp], group[0])\n",
    "    return groups, fitness_individuals"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def slaughter_groups(groups, args):\n",
    "    num_groups = args.get('num_groups')\n",
    "    # Slaughtering of groups\n",
    "    # groups.sort(key=lambda x: x[0], reverse=True)\n",
    "    groups = groups[:num_groups]\n",
    "    return groups\n",
    "\n",
    "def slaughter_individuals(groups, index_to_cs, args):\n",
    "    # Slaughtering of individuals\n",
    "    new_index_to_cs = {}\n",
    "    for group in groups:\n",
    "        for cs in group[1]:\n",
    "            if cs not in new_index_to_cs:\n",
    "                new_index_to_cs[cs] = index_to_cs[cs]\n",
    "    return new_index_to_cs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def GE_g_operator(random, parents, groups_set, index_to_cs, args):\n",
    "    mutation_rate = args.get('mutation_rate')\n",
    "    crossover_rate = args.get('crossover_rate')\n",
    "    bound_groups = args.get('bound_groups')\n",
    "    \n",
    "    # Crossover\n",
    "    random.shuffle(parents)\n",
    "    \n",
    "    if len(parents) % 2 == 1:\n",
    "        parents = parents[:-1]\n",
    "    moms = parents[::2]\n",
    "    dads = parents[1::2]\n",
    "    children = []\n",
    "    \n",
    "    for (mom, dad) in zip(moms, dads):\n",
    "        if random.random() < crossover_rate:\n",
    "            group1, group2 = list(mom[1]), list(dad[1])\n",
    "            index1 = random.randint(0, len(group1)-1)\n",
    "            index2 = random.randint(0, len(group2)-1)\n",
    "            group1[index1], group2[index2] = group2[index2], group1[index1]\n",
    "            group1.sort(), group2.sort()\n",
    "            c1, c2 = tuple(group1), tuple(group2)\n",
    "            if c1 not in groups_set:\n",
    "                children.append([None, c1])\n",
    "                groups_set.add(c1)\n",
    "            if c2 not in groups_set:\n",
    "                children.append([None, c2])\n",
    "                groups_set.add(c2)\n",
    "    \n",
    "    # Adding-mutation\n",
    "    set_cs = set(index_to_cs.keys())\n",
    "    for group in children:\n",
    "        if len(group[1]) < bound_groups[1] and random.random() < mutation_rate:\n",
    "            tmp_list = list(set_cs - set(group[1]))\n",
    "            if len(tmp_list) != 0:\n",
    "                lamp_added = tmp_list[random.randint(0, len(tmp_list)-1)]\n",
    "                new_group = list(group[1])\n",
    "                new_group.append(lamp_added)\n",
    "                new_group.sort()\n",
    "                new_group = tuple(new_group)\n",
    "                if new_group not in groups_set:\n",
    "                    children.append([None, new_group])\n",
    "                    groups_set.add(new_group)\n",
    "    \n",
    "    # Removing-mutation\n",
    "    for group in children:\n",
    "        if len(group[1]) > bound_groups[0] and random.random() < mutation_rate:\n",
    "            lamp_removed = random.choice(group[1])\n",
    "            new_group = list(group[1])\n",
    "            new_group.remove(lamp_removed)\n",
    "            new_group = tuple(new_group)\n",
    "            if new_group not in groups_set:\n",
    "                children.append([None, new_group])\n",
    "                groups_set.add(new_group)\n",
    "    \n",
    "    # Replacement-mutation\n",
    "    for group in children:\n",
    "        if random.random() < mutation_rate:\n",
    "            lamp_removed = random.choice(group[1])\n",
    "            tmp_list = list(set_cs - set(group[1]))\n",
    "            if len(tmp_list) != 0:\n",
    "                lamp_added = tmp_list[random.randint(0, len(tmp_list)-1)]\n",
    "                new_group = list(group[1])\n",
    "                new_group.remove(lamp_removed)\n",
    "                new_group.append(lamp_added)\n",
    "                new_group.sort()\n",
    "                new_group = tuple(new_group)\n",
    "                if new_group not in groups_set:\n",
    "                    children.append([None, new_group])\n",
    "                    groups_set.add(new_group)\n",
    "\n",
    "    return children, groups_set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "def GE_i_operator(random, parents, groups, index_to_cs, args):\n",
    "    mutation_rate = args.get('mutation_rate')\n",
    "    crossover_rate = args.get('crossover_rate')\n",
    "    bound_groups = args.get('bound_groups')\n",
    "    bound_lamps = args.get('bound_lamps')\n",
    "    upper_bound, lower_bound = bound_lamps[1], bound_lamps[0]\n",
    "    \n",
    "    lamps_set = set(index_to_cs.values())\n",
    "    \n",
    "    individuals_groups = {value : set() for value in index_to_cs.values()}\n",
    "    for group in groups:\n",
    "        for i in group[1]:\n",
    "            cs = index_to_cs[i]\n",
    "            individuals_groups[cs].add(group[1])\n",
    "    next_index = max(index_to_cs.keys()) + 1\n",
    "    children = []\n",
    "    \n",
    "    # Crossover\n",
    "    random.shuffle(parents)\n",
    "    \n",
    "    if len(parents) % 2 == 1:\n",
    "        parents = parents[:-1]\n",
    "    moms = parents[::2]\n",
    "    dads = parents[1::2]\n",
    "    children = []\n",
    "    \n",
    "    for (mom, dad) in zip(moms, dads):\n",
    "        mom_lamp = index_to_cs[mom]\n",
    "        dad_lamp = index_to_cs[dad]\n",
    "        \n",
    "        if random.random() < crossover_rate:\n",
    "            new_lamp1 = (mom_lamp[0], dad_lamp[1])\n",
    "            new_lamp2 = (dad_lamp[0], mom_lamp[1])\n",
    "            \n",
    "            for i, new_lamp in enumerate([new_lamp1, new_lamp2]):\n",
    "                if new_lamp in lamps_set:\n",
    "                    continue\n",
    "                \n",
    "                lamps_set.add(new_lamp)\n",
    "                index_to_cs[next_index] = new_lamp\n",
    "                next_index += 1\n",
    "                \n",
    "                if random.random() < 0.5:\n",
    "                    parent = mom\n",
    "                else:\n",
    "                    parent = dad\n",
    "                    \n",
    "                for group in individuals_groups[index_to_cs[parent]]:\n",
    "                    new_group = list(group)\n",
    "                    new_group.remove(parent)\n",
    "                    new_group.append(next_index - 1)\n",
    "                    new_group = tuple(new_group)\n",
    "                    children.append([None, new_group])\n",
    "                    # The three lines below add new groups to existing groups immediately.\n",
    "                    \n",
    "                    # for index in new_group:\n",
    "                    #     if index != next_index - 1:\n",
    "                    #         individuals_groups[index_to_cs[index]].add(new_group)\n",
    "    # Mutation\n",
    "    for index_parent in parents:\n",
    "        parent = index_to_cs[index_parent]\n",
    "        if random.random() < mutation_rate:\n",
    "            new_lamp = (parent[0] + random.uniform(0, 0.1), parent[1] + random.uniform(0, 0.1))\n",
    "            new_lamp = (max(min(new_lamp[0], upper_bound), lower_bound), \n",
    "                        max(min(new_lamp[1], upper_bound), lower_bound))\n",
    "            if new_lamp in lamps_set:\n",
    "                continue\n",
    "           \n",
    "            lamps_set.add(new_lamp)  \n",
    "            index_to_cs[next_index] = new_lamp\n",
    "            next_index += 1\n",
    "            \n",
    "            for group in individuals_groups[parent]:\n",
    "                new_group = list(group)\n",
    "                new_group.remove(index_parent)\n",
    "                new_group.append(next_index - 1)\n",
    "                new_group = tuple(new_group)\n",
    "                children.append([None, new_group])\n",
    "                # The three lines below add new groups to existing groups immediately.\n",
    "                \n",
    "                # for index in new_group:\n",
    "                #     if index != next_index - 1:\n",
    "                #         individuals_groups[index_to_cs[index]].add(new_group)\n",
    "    return children, index_to_cs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "def GE_g_tournament_select(random, population, args):\n",
    "    num_selected = args.get('num_selected') \n",
    "    tournament_size = args.get('group_tournament_size')\n",
    "    \n",
    "    if tournament_size > len(population):\n",
    "        tournament_size = len(population)\n",
    "    selected = []\n",
    "    \n",
    "    for _ in range(num_selected):\n",
    "        tourn = random.sample(population, tournament_size)\n",
    "        tourn.sort(key=lambda x: x[0], reverse=True)\n",
    "        selected.append(tourn[0])\n",
    "    return selected"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def GE_i_tournament_select(random, group, fitness_individuals, args):\n",
    "    tournament_size = args.get('individual_tournament_size')\n",
    "\n",
    "    tourn = random.sample(group[1], tournament_size)\n",
    "    tourn.sort(key=lambda x: fitness_individuals[x], reverse=True)\n",
    "    \n",
    "    return tourn[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def group_evolution(random, nprandom, args):\n",
    "    # Generate the initial population\n",
    "    grid_size = args['grid_size']\n",
    "    problem_size = args['problem_size']\n",
    "    max_generations = args['max_generations']\n",
    "    num_individuals = args['num_individuals']\n",
    "    \n",
    "    index_to_cs = {}\n",
    "    fitness_individuals = {}\n",
    "    groups_set = set()\n",
    "    lamp_grid = create_lamp_grid(grid_size, problem_size)\n",
    "    individuals_records = []\n",
    "    \n",
    "    for i in range(num_individuals):\n",
    "        cs = (GE_i_generator(random, args))\n",
    "        index_to_cs[i] = cs\n",
    "    \n",
    "    # Generate the initial groups\n",
    "    groups = GE_g_generator(nprandom, args)\n",
    "\n",
    "    # Evaluation the groups\n",
    "    groups, fitness_individuals = GE_evaluator(groups, lamp_grid, index_to_cs, fitness_individuals, args)\n",
    "    groups.sort(key=lambda x: x[0], reverse=True)\n",
    "    individuals_records.append([list(index_to_cs.values()), [index_to_cs[i] for i in groups[0][1]]])\n",
    "    \n",
    "    # Main loop\n",
    "    for generation in range(max_generations):\n",
    "        # Slaughtering of groups\n",
    "        groups = slaughter_groups(groups, args)\n",
    "        groups_set = set([group[1] for group in groups])\n",
    "        \n",
    "        # Slaughtering of orphaned individuals\n",
    "        index_to_cs = slaughter_individuals(groups, index_to_cs, args)\n",
    "        \n",
    "        # Apply group genetic operators\n",
    "        parents = GE_g_tournament_select(random, groups, args)\n",
    "        offspring, groups_set = GE_g_operator(random, parents, groups_set, index_to_cs, args)\n",
    "       \n",
    "        # Evaluation the offspring\n",
    "        offspring, fitness_individuals = GE_evaluator(offspring, lamp_grid, index_to_cs, fitness_individuals, args)\n",
    "        groups += offspring\n",
    "               \n",
    "        # Apply individual genetic operators\n",
    "        groups_parents = GE_g_tournament_select(random, groups, args)\n",
    "        individuals_parents = set()\n",
    "        for group in groups_parents:\n",
    "            individuals_parents.add(GE_i_tournament_select(random, group, fitness_individuals, args))\n",
    "        individuals_parents = list(individuals_parents)\n",
    "        offspring, index_to_cs = GE_i_operator(random, individuals_parents, groups, index_to_cs, args)\n",
    "        \n",
    "        # Evaluation the offspring\n",
    "        offspring, fitness_individuals = GE_evaluator(offspring, lamp_grid, index_to_cs, fitness_individuals, args)\n",
    "        groups += offspring\n",
    "        \n",
    "        # Print the best solution for observation\n",
    "        groups.sort(key=lambda x: x[0], reverse=True)\n",
    "        \n",
    "        # The observer\n",
    "        print('Generation: {}. Best fitness: {}'.format(generation, groups[0][0]))\n",
    "        individuals_records.append([list(index_to_cs.values()), [index_to_cs[i] for i in groups[0][1]]])\n",
    "        \n",
    "    # Slaughtering of groups\n",
    "    groups = slaughter_groups(groups, args)\n",
    "        \n",
    "    return index_to_cs, groups, individuals_records"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Generation: 0. Best fitness: 0.5134479999999999\n",
      "Generation: 1. Best fitness: 0.523112\n",
      "Generation: 2. Best fitness: 0.53596\n",
      "Generation: 3. Best fitness: 0.5596559999999999\n",
      "Generation: 4. Best fitness: 0.5596559999999999\n",
      "Generation: 5. Best fitness: 0.569944\n",
      "Generation: 6. Best fitness: 0.569944\n",
      "Generation: 7. Best fitness: 0.584832\n",
      "Generation: 8. Best fitness: 0.584832\n",
      "Generation: 9. Best fitness: 0.584832\n",
      "Generation: 10. Best fitness: 0.591296\n",
      "Generation: 11. Best fitness: 0.6012\n",
      "Generation: 12. Best fitness: 0.6012\n",
      "Generation: 13. Best fitness: 0.6044080000000001\n",
      "Generation: 14. Best fitness: 0.623008\n",
      "Generation: 15. Best fitness: 0.6293599999999999\n",
      "Generation: 16. Best fitness: 0.6295200000000001\n",
      "Generation: 17. Best fitness: 0.637384\n",
      "Generation: 18. Best fitness: 0.637384\n",
      "Generation: 19. Best fitness: 0.637384\n",
      "Generation: 20. Best fitness: 0.65276\n",
      "Generation: 21. Best fitness: 0.6546559999999999\n",
      "Generation: 22. Best fitness: 0.660264\n",
      "Generation: 23. Best fitness: 0.6750480000000001\n",
      "Generation: 24. Best fitness: 0.6750480000000001\n",
      "Generation: 25. Best fitness: 0.6750480000000001\n",
      "Generation: 26. Best fitness: 0.675672\n",
      "Generation: 27. Best fitness: 0.691392\n",
      "Generation: 28. Best fitness: 0.716296\n",
      "Generation: 29. Best fitness: 0.7175119999999999\n",
      "Generation: 30. Best fitness: 0.7175119999999999\n",
      "Generation: 31. Best fitness: 0.7175119999999999\n",
      "Generation: 32. Best fitness: 0.7175119999999999\n",
      "Generation: 33. Best fitness: 0.7175119999999999\n",
      "Generation: 34. Best fitness: 0.7175119999999999\n",
      "Generation: 35. Best fitness: 0.7175119999999999\n",
      "Generation: 36. Best fitness: 0.7181439999999999\n",
      "Generation: 37. Best fitness: 0.7181439999999999\n",
      "Generation: 38. Best fitness: 0.7181439999999999\n",
      "Generation: 39. Best fitness: 0.732672\n",
      "Generation: 40. Best fitness: 0.740064\n",
      "Generation: 41. Best fitness: 0.740064\n",
      "Generation: 42. Best fitness: 0.740064\n",
      "Generation: 43. Best fitness: 0.740064\n",
      "Generation: 44. Best fitness: 0.740064\n",
      "Generation: 45. Best fitness: 0.741744\n",
      "Generation: 46. Best fitness: 0.741744\n",
      "Generation: 47. Best fitness: 0.7434080000000001\n",
      "Generation: 48. Best fitness: 0.7434080000000001\n",
      "Generation: 49. Best fitness: 0.7434080000000001\n",
      "Generation: 50. Best fitness: 0.744704\n",
      "Generation: 51. Best fitness: 0.744704\n",
      "Generation: 52. Best fitness: 0.744704\n",
      "Generation: 53. Best fitness: 0.744704\n",
      "Generation: 54. Best fitness: 0.7496799999999999\n",
      "Generation: 55. Best fitness: 0.7496799999999999\n",
      "Generation: 56. Best fitness: 0.7496799999999999\n",
      "Generation: 57. Best fitness: 0.7496799999999999\n",
      "Generation: 58. Best fitness: 0.7496799999999999\n",
      "Generation: 59. Best fitness: 0.7496799999999999\n",
      "Generation: 60. Best fitness: 0.7496799999999999\n",
      "Generation: 61. Best fitness: 0.7496799999999999\n",
      "Generation: 62. Best fitness: 0.7496799999999999\n",
      "Generation: 63. Best fitness: 0.7496799999999999\n",
      "Generation: 64. Best fitness: 0.7496799999999999\n",
      "Generation: 65. Best fitness: 0.7496799999999999\n",
      "Generation: 66. Best fitness: 0.750032\n",
      "Generation: 67. Best fitness: 0.750032\n",
      "Generation: 68. Best fitness: 0.750032\n",
      "Generation: 69. Best fitness: 0.7508319999999999\n",
      "Generation: 70. Best fitness: 0.7508319999999999\n",
      "Generation: 71. Best fitness: 0.7508319999999999\n",
      "Generation: 72. Best fitness: 0.7508319999999999\n",
      "Generation: 73. Best fitness: 0.7508319999999999\n",
      "Generation: 74. Best fitness: 0.7508319999999999\n",
      "Generation: 75. Best fitness: 0.7508319999999999\n",
      "Generation: 76. Best fitness: 0.7508319999999999\n",
      "Generation: 77. Best fitness: 0.7518640000000001\n",
      "Generation: 78. Best fitness: 0.7518640000000001\n",
      "Generation: 79. Best fitness: 0.7518640000000001\n",
      "Generation: 80. Best fitness: 0.752648\n",
      "Generation: 81. Best fitness: 0.7527839999999999\n",
      "Generation: 82. Best fitness: 0.7527839999999999\n",
      "Generation: 83. Best fitness: 0.7527839999999999\n",
      "Generation: 84. Best fitness: 0.7527839999999999\n",
      "Generation: 85. Best fitness: 0.7527839999999999\n",
      "Generation: 86. Best fitness: 0.7527839999999999\n",
      "Generation: 87. Best fitness: 0.7527839999999999\n",
      "Generation: 88. Best fitness: 0.7527839999999999\n",
      "Generation: 89. Best fitness: 0.7527839999999999\n",
      "Generation: 90. Best fitness: 0.7530079999999999\n",
      "Generation: 91. Best fitness: 0.7530079999999999\n",
      "Generation: 92. Best fitness: 0.7530079999999999\n",
      "Generation: 93. Best fitness: 0.7530079999999999\n",
      "Generation: 94. Best fitness: 0.7530079999999999\n",
      "Generation: 95. Best fitness: 0.7530079999999999\n",
      "Generation: 96. Best fitness: 0.7530079999999999\n",
      "Generation: 97. Best fitness: 0.7530079999999999\n",
      "Generation: 98. Best fitness: 0.7530079999999999\n",
      "Generation: 99. Best fitness: 0.7530079999999999\n"
     ]
    }
   ],
   "source": [
    "rand = random.Random()\n",
    "rand.seed(39)\n",
    "nprand = np.random.RandomState(39)\n",
    "bound_lamps = (0, 1)\n",
    "grid_size = 500\n",
    "problem_size = 10\n",
    "bound_groups = (problem_size, problem_size*3)\n",
    "# It takes about 6 minutes to run.\n",
    "index_to_cs, groups,individuals_records = group_evolution(rand, nprand, \n",
    "                                                          {'grid_size': grid_size, \n",
    "                                                           'problem_size': problem_size, \n",
    "                                                           'max_generations': 100, \n",
    "                                                           'num_individuals': problem_size*5, \n",
    "                                                           'num_groups': problem_size*20,\n",
    "                                                           'mutation_rate': 0.8,\n",
    "                                                           'crossover_rate': 1,\n",
    "                                                           'bound_lamps': bound_lamps,\n",
    "                                                           'bound_groups': bound_groups, \n",
    "                                                           'group_tournament_size': problem_size*4,\n",
    "                                                           'individual_tournament_size': 2,\n",
    "                                                           'num_selected': 5,\n",
    "                                                           'weight_overlap': 1})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[[0.7530079999999999,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7527839999999999,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785)]],\n",
       " [0.7527440000000001,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7527360000000001,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.752648,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679)]],\n",
       " [0.7526079999999999,\n",
       "  [(0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7525120000000001,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785)]],\n",
       " [0.752424,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7523839999999999,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7523839999999999,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7523439999999999,\n",
       "  [(0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7523359999999999,\n",
       "  [(0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7523280000000001,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679)]],\n",
       " [0.7523040000000001,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.18256909246699637, 0.8411531435252646),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7523040000000001,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7522800000000001,\n",
       "  [(0.16283906455095554, 0.8411531435252646),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.7554970173938503),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.4830929036064152, 0.9711514328215679),\n",
       "   (0.8143266835685603, 0.8384920995686362)]],\n",
       " [0.752248,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7521599999999999,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785)]],\n",
       " [0.7521439999999999,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7521199999999999,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7521119999999999,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7520960000000001,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7520960000000001,\n",
       "  [(0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7520800000000001,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.18256909246699637, 0.8411531435252646),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785)]],\n",
       " [0.7520800000000001,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102)]],\n",
       " [0.7520560000000001,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.75204,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.752032,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.752024,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679)]],\n",
       " [0.752024,\n",
       "  [(0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.751992,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.751984,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.751984,\n",
       "  [(0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.751944,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.16283906455095554, 0.219455462895102)]],\n",
       " [0.7519279999999999,\n",
       "  [(0.16283906455095554, 0.8411531435252646),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.5008721136884221, 0.7554970173938503),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.9711514328215679),\n",
       "   (0.8143266835685603, 0.8384920995686362)]],\n",
       " [0.7519279999999999,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7519199999999999,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785)]],\n",
       " [0.7519039999999999,\n",
       "  [(0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.18256909246699637, 0.8411531435252646),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7518879999999999,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679)]],\n",
       " [0.7518800000000001,\n",
       "  [(0.16283906455095554, 0.8411531435252646),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.7554970173938503),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.4830929036064152, 0.9711514328215679),\n",
       "   (0.8143266835685603, 0.8384920995686362),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7518720000000001,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785)]],\n",
       " [0.7518720000000001,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7518640000000001,\n",
       "  [(0.5474594566953197, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068)]],\n",
       " [0.7518560000000001,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7518400000000001,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7518320000000001,\n",
       "  [(0.16283906455095554, 0.8411531435252646),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.5008721136884221, 0.7554970173938503),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.4830929036064152, 0.9711514328215679),\n",
       "   (0.8143266835685603, 0.8384920995686362)]],\n",
       " [0.7518320000000001,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.7518320000000001,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.7518320000000001,\n",
       "  [(0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.751824,\n",
       "  [(0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.751808,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102)]],\n",
       " [0.7518,\n",
       "  [(0.16283906455095554, 0.8411531435252646),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.5008721136884221, 0.7554970173938503),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.9711514328215679),\n",
       "   (0.8143266835685603, 0.8384920995686362),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.751792,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.751784,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.751768,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.18256909246699637, 0.8411531435252646),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.751768,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.751768,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.75176,\n",
       "  [(0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.5121380954992998, 0.13586122193007022),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.75176,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.751736,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.751736,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.751728,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7517199999999999,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7517199999999999,\n",
       "  [(0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7517119999999999,\n",
       "  [(0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7517039999999999,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.7516959999999999,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.7516959999999999,\n",
       "  [(0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7516879999999999,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679)]],\n",
       " [0.7516799999999999,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.18256909246699637, 0.8411531435252646),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7516719999999999,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.18256909246699637, 0.8411531435252646),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679)]],\n",
       " [0.7516560000000001,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.16283906455095554, 0.22115509487290433),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7516560000000001,\n",
       "  [(0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.17729689904098667, 0.5298588074659512),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7516480000000001,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7516400000000001,\n",
       "  [(0.5474594566953197, 0.9711514328215679),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7516320000000001,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785)]],\n",
       " [0.7516320000000001,\n",
       "  [(0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7516240000000001,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.16283906455095554, 0.219455462895102)]],\n",
       " [0.7516240000000001,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7516160000000001,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102)]],\n",
       " [0.751608,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.8175477675511473, 0.5485172856976905)]],\n",
       " [0.7516,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7516,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.18256909246699637, 0.8411531435252646),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7516,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.751584,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.18256909246699637, 0.8411531435252646),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.751576,\n",
       "  [(0.16283906455095554, 0.8411531435252646),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.7554970173938503),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.4830929036064152, 0.9711514328215679),\n",
       "   (0.8143266835685603, 0.8384920995686362),\n",
       "   (0.16283906455095554, 0.219455462895102)]],\n",
       " [0.751576,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.751568,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.75156,\n",
       "  [(0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.17729689904098667, 0.5298588074659512),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.751552,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679)]],\n",
       " [0.751552,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.751552,\n",
       "  [(0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.751544,\n",
       "  [(0.5474594566953197, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.7575728033998068)]],\n",
       " [0.751544,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.751544,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.751536,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.5121380954992998, 0.13586122193007022)]],\n",
       " [0.751528,\n",
       "  [(0.16283906455095554, 0.8411531435252646),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.7554970173938503),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.4830929036064152, 0.9711514328215679),\n",
       "   (0.8143266835685603, 0.8384920995686362),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.751512,\n",
       "  [(0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.751504,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785)]],\n",
       " [0.7514959999999999,\n",
       "  [(0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5121380954992998, 0.13586122193007022),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7514959999999999,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.7514959999999999,\n",
       "  [(0.16283906455095554, 0.8411531435252646),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.5008721136884221, 0.7554970173938503),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.9711514328215679),\n",
       "   (0.8143266835685603, 0.8384920995686362),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7514959999999999,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.8175477675511473, 0.5485172856976905)]],\n",
       " [0.7514879999999999,\n",
       "  [(0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.5121380954992998, 0.13586122193007022),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7514879999999999,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7514799999999999,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.16283906455095554, 0.219455462895102)]],\n",
       " [0.7514799999999999,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.7514799999999999,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.7514719999999999,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679)]],\n",
       " [0.7514719999999999,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7514639999999999,\n",
       "  [(0.5474594566953197, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5194803459848836, 0.7583926348174785)]],\n",
       " [0.7514639999999999,\n",
       "  [(0.5474594566953197, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.8384920995686362),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7514559999999999,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7514559999999999,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.7514559999999999,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7514479999999999,\n",
       "  [(0.8143266835685603, 0.20046272094992995),\n",
       "   (0.16283906455095554, 0.22115509487290433),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7514400000000001,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7514320000000001,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.16283906455095554, 0.22115509487290433),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785)]],\n",
       " [0.7514320000000001,\n",
       "  [(0.16283906455095554, 0.8411531435252646),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.5008721136884221, 0.7554970173938503),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.4830929036064152, 0.9711514328215679),\n",
       "   (0.8143266835685603, 0.8384920995686362),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7514320000000001,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.17729689904098667, 0.5298588074659512),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7514240000000001,\n",
       "  [(0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7514160000000001,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7514080000000001,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.8411531435252646),\n",
       "   (0.16283906455095554, 0.22115509487290433),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7514080000000001,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7514000000000001,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5121380954992998, 0.13586122193007022)]],\n",
       " [0.7514000000000001,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.7514000000000001,\n",
       "  [(0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.17729689904098667, 0.5298588074659512),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7513920000000001,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.16283906455095554, 0.22115509487290433),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7513920000000001,\n",
       "  [(0.8143266835685603, 0.20046272094992995),\n",
       "   (0.18256909246699637, 0.8411531435252646),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7513920000000001,\n",
       "  [(0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.17729689904098667, 0.5298588074659512),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.751384,\n",
       "  [(0.16283906455095554, 0.8411531435252646),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.5008721136884221, 0.7554970173938503),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.9711514328215679),\n",
       "   (0.8143266835685603, 0.8384920995686362),\n",
       "   (0.16283906455095554, 0.219455462895102)]],\n",
       " [0.751384,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.16283906455095554, 0.22115509487290433),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.751384,\n",
       "  [(0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.751376,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.18256909246699637, 0.8411531435252646),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102)]],\n",
       " [0.751376,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102)]],\n",
       " [0.751368,\n",
       "  [(0.5474594566953197, 0.9711514328215679),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.751368,\n",
       "  [(0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.751368,\n",
       "  [(0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.18256909246699637, 0.8411531435252646),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.751368,\n",
       "  [(0.16283906455095554, 0.8411531435252646),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.5008721136884221, 0.7554970173938503),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.9711514328215679),\n",
       "   (0.8143266835685603, 0.8384920995686362),\n",
       "   (0.17729689904098667, 0.5298588074659512),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.751368,\n",
       "  [(0.16283906455095554, 0.8411531435252646),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.7554970173938503),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.4830929036064152, 0.9711514328215679),\n",
       "   (0.8143266835685603, 0.8384920995686362),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.751368,\n",
       "  [(0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.17729689904098667, 0.5298588074659512),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.75136,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.18256909246699637, 0.8411531435252646),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785)]],\n",
       " [0.75136,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.75136,\n",
       "  [(0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.751344,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.16283906455095554, 0.219455462895102)]],\n",
       " [0.751344,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.18256909246699637, 0.8411531435252646),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.751344,\n",
       "  [(0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.751344,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.17729689904098667, 0.5298588074659512),\n",
       "   (0.8175477675511473, 0.5485172856976905)]],\n",
       " [0.751344,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.8175477675511473, 0.5485172856976905)]],\n",
       " [0.751336,\n",
       "  [(0.16283906455095554, 0.8411531435252646),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.5008721136884221, 0.7554970173938503),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.9711514328215679),\n",
       "   (0.8143266835685603, 0.8384920995686362)]],\n",
       " [0.751336,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.17729689904098667, 0.5298588074659512),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.751336,\n",
       "  [(0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.17729689904098667, 0.5298588074659512),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.751336,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.8175477675511473, 0.5485172856976905)]],\n",
       " [0.751336,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.8175477675511473, 0.5485172856976905)]],\n",
       " [0.751328,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102)]],\n",
       " [0.751328,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.17468696175253295, 0.5644803438490651),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.75132,\n",
       "  [(0.5474594566953197, 0.9711514328215679),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.75132,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.75132,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.751312,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.751304,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.17729689904098667, 0.5298588074659512),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.751296,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.16283906455095554, 0.22115509487290433),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679)]],\n",
       " [0.751296,\n",
       "  [(0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.751296,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.17729689904098667, 0.5298588074659512),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.751288,\n",
       "  [(0.16283906455095554, 0.8411531435252646),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.5008721136884221, 0.7554970173938503),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.4830929036064152, 0.9711514328215679),\n",
       "   (0.8143266835685603, 0.8384920995686362),\n",
       "   (0.16283906455095554, 0.219455462895102)]],\n",
       " [0.751288,\n",
       "  [(0.16283906455095554, 0.8411531435252646),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.5008721136884221, 0.7554970173938503),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.9711514328215679),\n",
       "   (0.8143266835685603, 0.8384920995686362),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.751288,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.75128,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.7512719999999999,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7512719999999999,\n",
       "  [(0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.17729689904098667, 0.5298588074659512),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7512719999999999,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.18256909246699637, 0.8411531435252646),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7512639999999999,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.5121380954992998, 0.13586122193007022)]],\n",
       " [0.7512559999999999,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.7512559999999999,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.7512479999999999,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.18256909246699637, 0.22115509487290433),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7512479999999999,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7512479999999999,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.18256909246699637, 0.8411531435252646),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.7512399999999999,\n",
       "  [(0.5474594566953197, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068)]],\n",
       " [0.7512399999999999,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7512399999999999,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.8411531435252646),\n",
       "   (0.16283906455095554, 0.22115509487290433),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7512399999999999,\n",
       "  [(0.5474594566953197, 0.9711514328215679),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7512399999999999,\n",
       "  [(0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.17729689904098667, 0.5298588074659512),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7512319999999999,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785)]],\n",
       " [0.7512239999999999,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.7512239999999999,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.16283906455095554, 0.22115509487290433),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7512160000000001,\n",
       "  [(0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7512080000000001,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.22115509487290433),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713)]],\n",
       " [0.7512080000000001,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.8175477675511473, 0.5485172856976905)]],\n",
       " [0.7512080000000001,\n",
       "  [(0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333),\n",
       "   (0.8175477675511473, 0.5485172856976905)]],\n",
       " [0.7512000000000001,\n",
       "  [(0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.8411531435252646),\n",
       "   (0.16283906455095554, 0.22115509487290433),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7512000000000001,\n",
       "  [(0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7512000000000001,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7511920000000001,\n",
       "  [(0.5474594566953197, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5194803459848836, 0.7583926348174785)]],\n",
       " [0.7511920000000001,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.17729689904098667, 0.8384920995686362),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.7511840000000001,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.8411531435252646),\n",
       "   (0.16283906455095554, 0.22115509487290433),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785)]],\n",
       " [0.7511840000000001,\n",
       "  [(0.8606080588747033, 0.8384920995686362),\n",
       "   (0.5008721136884221, 0.13586122193007022),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.16283906455095554, 0.219455462895102),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.7511840000000001,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.18256909246699637, 0.8411531435252646),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.17729689904098667, 0.5298588074659512)]],\n",
       " [0.7511840000000001,\n",
       "  [(0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.1743091859216107, 0.5298588074659512),\n",
       "   (0.18256909246699637, 0.8411531435252646),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.5194803459848836, 0.7583926348174785),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7511840000000001,\n",
       "  [(0.8143266835685603, 0.20046272094992995),\n",
       "   (0.16283906455095554, 0.22115509487290433),\n",
       "   (0.8143266835685603, 0.5298588074659512),\n",
       "   (0.16283906455095554, 0.5298588074659512),\n",
       "   (0.4830929036064152, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.500919832444428, 0.1479752438333333)]],\n",
       " [0.7511840000000001,\n",
       "  [(0.5008721136884221, 0.13586122193007022),\n",
       "   (0.1743091859216107, 0.219455462895102),\n",
       "   (0.8143266835685603, 0.20046272094992995),\n",
       "   (0.5008721136884221, 0.44717524800335556),\n",
       "   (0.17729689904098667, 0.843547199342713),\n",
       "   (0.5121380954992998, 0.7575728033998068),\n",
       "   (0.5121380954992998, 0.9711514328215679),\n",
       "   (0.8606080588747033, 0.843547199342713),\n",
       "   (0.17729689904098667, 0.5298588074659512),\n",
       "   (0.8175477675511473, 0.5485172856976905)]]]"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Transform the indexes to coordinates\n",
    "groups_xy = []\n",
    "for group in groups:\n",
    "    g_xy = [group[0], []]\n",
    "    for i in group[1]:\n",
    "        g_xy[1].append(index_to_cs[i])\n",
    "    groups_xy.append(g_xy)\n",
    "groups_xy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_lamps(groups_xy[0][1], problem_size)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(0.876504, 0.12349600000000005)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lamp_grid = create_lamp_grid(grid_size, problem_size)\n",
    "calculate_areas(groups_xy[0][1], grid_size, problem_size, lamp_grid)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Make a gif of the evolution process\n",
    "# Record all the pictures\n",
    "frames = []\n",
    "\n",
    "for i, records in enumerate(individuals_records): \n",
    "    # Create a new figure\n",
    "    fig = plt.figure(dpi=300)\n",
    "\n",
    "    # print all the points in the picture by plt\n",
    "    for value in records[0]:\n",
    "        plt.scatter(value[0], value[1], color='blue')\n",
    "    for p in records[1]:\n",
    "        plt.scatter(p[0], p[1], color='red')\n",
    "    \n",
    "    # adjust the range of x and y axis\n",
    "    plt.xlim(0, 1)\n",
    "    plt.ylim(0, 1)\n",
    "    ae, ao = calculate_areas(records[1], grid_size, problem_size, lamp_grid)\n",
    "    \n",
    "    plt.title('Generation: {} Fitness: {:.4f}'.format(i, ae-ao))\n",
    "    # adjust the radio of x and y axis\n",
    "    plt.gca().set_aspect('equal', adjustable='box')\n",
    "\n",
    "    # Save the current figure\n",
    "    fig.canvas.draw()       \n",
    "    image = np.frombuffer(fig.canvas.tostring_rgb(), dtype='uint8')\n",
    "    image = image.reshape(fig.canvas.get_width_height()[::-1] + (3,))\n",
    "\n",
    "    frames.append(image)\n",
    "    \n",
    "    plt.close(fig)\n",
    "\n",
    "# Create a gif\n",
    "imageio.mimsave('evolution_10.gif', frames, 'GIF', duration=0.2)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.9.5"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}