compact_sets_sandbox/compact_sets_extended_simplified.ipynb

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   "source": [
    "# Topological Functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "5178de6f-a93c-45b1-9608-b0bbe8a771f2",
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   "outputs": [],
   "source": [
    "from itertools import chain, combinations, permutations, product, pairwise\n",
    "from math import prod, log\n",
    "from copy import deepcopy\n",
    "import networkx as nx\n",
    "from fractions import Fraction\n",
    "import json\n",
    "from operator import add\n",
    "\n",
    "def hs_array_to_fr(hs_array):\n",
    "    return prod([pow(dims[d], hs_array[d]) for d in range(len(dims))])\n",
    "\n",
    "def hs_array_to_cents(hs_array):\n",
    "    return (1200 * log(hs_array_to_fr(hs_array), 2))\n",
    "\n",
    "def expand_pitch(hs_array):\n",
    "    expanded_pitch = list(hs_array)\n",
    "    frequency_ratio = hs_array_to_fr(hs_array)\n",
    "    if frequency_ratio < 1:\n",
    "        while frequency_ratio < 1:\n",
    "            frequency_ratio *= 2\n",
    "            expanded_pitch[0] += 1\n",
    "    elif frequency_ratio >= 2:\n",
    "        while frequency_ratio >= 2:\n",
    "            frequency_ratio *= 1/2\n",
    "            expanded_pitch[0] += -1\n",
    "    return tuple(expanded_pitch)\n",
    "\n",
    "def expand_chord(chord):\n",
    "    return tuple(expand_pitch(p) for p in chord)\n",
    "\n",
    "def collapse_pitch(hs_array):\n",
    "    collapsed_pitch = list(hs_array)\n",
    "    collapsed_pitch[0] = 0\n",
    "    return tuple(collapsed_pitch)\n",
    "\n",
    "def collapse_chord(chord):\n",
    "    return tuple(collapse_pitch(p) for p in chord)\n",
    "\n",
    "def transpose_pitch(pitch, trans):\n",
    "    return tuple(map(add, pitch, trans))\n",
    "\n",
    "def transpose_chord(chord, trans):\n",
    "    return tuple(transpose_pitch(p, trans) for p in chord)\n",
    "\n",
    "def cent_difference(hs_array1, hs_array2):\n",
    "    return hs_array_to_cents(hs_array2) - hs_array_to_cents(hs_array1)\n",
    "\n",
    "def pitch_difference(hs_array1, hs_array2):\n",
    "    return transpose_pitch(hs_array1, [p * -1 for p in hs_array2])\n",
    "\n",
    "# this is modified for different chord sizes like original version\n",
    "def grow_chords(chord, root, min_chord_size, max_chord_size):\n",
    "    #this could use the tranpose_pitch function\n",
    "    branches = [branch for alt in [-1, 1] for d in range(1, len(root)) if (branch:=(*(r:=root)[:d], r[d] + alt, *r[(d + 1):])) not in chord]\n",
    "    subsets = chain.from_iterable(combinations(branches, r) for r in range(1, max_chord_size - len(chord) + 1))\n",
    "    for subset in subsets:\n",
    "        extended_chord = chord + subset\n",
    "        if(len(extended_chord) < max_chord_size):\n",
    "            for branch in subset:\n",
    "                yield from grow_chords(extended_chord, branch, min_chord_size, max_chord_size)\n",
    "        if(len(extended_chord) >= min_chord_size):\n",
    "            yield tuple(sorted(extended_chord, key=hs_array_to_fr))\n",
    "\n",
    "def chords(chord, root, min_chord_size, max_chord_size):\n",
    "    # this will filter out the 4x dups of paths that are loops, there might be a faster way to test this\n",
    "    return set(grow_chords(chord, root, min_chord_size, max_chord_size))\n",
    "\n",
    "# this is very slow, I have an idea in mind that my be faster by simply growing the chords to max_chord_size + max_sim_diff\n",
    "# technically at that point you have generated both chords and can get the second chord from the first\n",
    "def edges(chords, min_symdiff, max_symdiff, max_chord_size):  \n",
    "\n",
    "    def reverse_movements(movements):\n",
    "        return {value['destination']:{'destination':key, 'cent_difference':value['cent_difference'] * -1} for key, value in movements.items()}\n",
    "\n",
    "    def is_directly_tunable(intersection, diff):\n",
    "        # this only works for now when intersection if one element - need to fix that\n",
    "        return max([sum(abs(p) for p in collapse_pitch(pitch_difference(d, list(intersection)[0]))) for d in diff]) == 1\n",
    "\n",
    "    for combination in combinations(chords, 2):\n",
    "        [expanded_base, expanded_comp] = [expand_chord(chord) for chord in combination]\n",
    "        edges = []\n",
    "        transpositions = set(pitch_difference(pair[0], pair[1]) for pair in set(product(expanded_base, expanded_comp)))\n",
    "        for trans in transpositions:\n",
    "            expanded_comp_transposed = transpose_chord(expanded_comp, trans)\n",
    "            intersection = set(expanded_base) & set(expanded_comp_transposed)\n",
    "            symdiff_len = sum([len(chord) - len(intersection) for chord in [expanded_base, expanded_comp_transposed]])\n",
    "            if (min_symdiff <= symdiff_len <= max_symdiff):\n",
    "                rev_trans = tuple(t * -1 for t in trans)\n",
    "                [diff1, diff2] = [list(set(chord) - intersection) for chord in [expanded_base, expanded_comp_transposed]]\n",
    "                base_map = {val: {'destination':transpose_pitch(val, rev_trans), 'cent_difference': 0} for val in intersection}\n",
    "                base_map_rev = reverse_movements(base_map)\n",
    "                maps = []\n",
    "                diff1 += [None] * (max_chord_size - len(diff1) - len(intersection))\n",
    "                perms = [list(perm) + [None] * (max_chord_size - len(perm) - len(intersection)) for perm in set(permutations(diff2))]\n",
    "                for p in perms:\n",
    "                    appended_map = {\n",
    "                        diff1[index]:\n",
    "                        {\n",
    "                            'destination': transpose_pitch(val, rev_trans) if val != None else None, \n",
    "                            'cent_difference': cent_difference(diff1[index], val) if None not in [diff1[index], val] else None\n",
    "                        } for index, val in enumerate(p)}\n",
    "                    yield (tuple(expanded_base), tuple(expanded_comp), {\n",
    "                        'transposition': trans,\n",
    "                        'symmetric_difference': symdiff_len, \n",
    "                        'is_directly_tunable': is_directly_tunable(intersection, diff2),\n",
    "                        'movements': base_map | appended_map\n",
    "                    },)\n",
    "                    yield (tuple(expanded_comp), tuple(expanded_base), {\n",
    "                        'transposition': rev_trans,\n",
    "                        'symmetric_difference': symdiff_len, \n",
    "                        'is_directly_tunable': is_directly_tunable(intersection, diff1),\n",
    "                        'movements': base_map_rev | reverse_movements(appended_map)\n",
    "                    },)\n",
    "\n",
    "def graph_from_edges(edges):\n",
    "    g = nx.MultiDiGraph()\n",
    "    g.add_edges_from(edges)\n",
    "    return g\n",
    "\n",
    "def generate_graph(chord_set, min_symdiff, max_symdiff, max_chord_size):\n",
    "    #chord_set = chords(pitch_set, min_chord_size, max_chord_size)\n",
    "    edge_set = edges(chord_set, min_symdiff, max_symdiff, max_chord_size)\n",
    "    res_graph = graph_from_edges(edge_set)\n",
    "    return res_graph\n",
    "\n",
    "def display_graph(graph):\n",
    "    show_graph = nx.Graph(graph)\n",
    "    pos = nx.draw_spring(show_graph, node_size=5, width=0.1)\n",
    "    plt.figure(1, figsize=(12,12)) \n",
    "    nx.draw(show_graph, pos, node_size=5, width=0.1)\n",
    "    plt.show()\n",
    "    #plt.savefig('compact_sets.png', dpi=150)\n",
    "\n",
    "def path_to_chords(path, start_root):\n",
    "    current_root = start_root\n",
    "    start_chord = tuple(sorted(path[0][0], key=hs_array_to_fr))\n",
    "    chords = ((start_chord, start_chord,),)\n",
    "    for edge in path:\n",
    "        trans = edge[2]['transposition']\n",
    "        movements = edge[2]['movements']\n",
    "        current_root = transpose_pitch(current_root, trans)\n",
    "        current_ref_chord = chords[-1][0]\n",
    "        next_ref_chord = tuple(movements[pitch]['destination'] for pitch in current_ref_chord)\n",
    "        next_transposed_chord = tuple(transpose_pitch(pitch, current_root) for pitch in next_ref_chord)\n",
    "        chords += ((next_ref_chord, next_transposed_chord,),)\n",
    "    return tuple(chord[1] for chord in chords)\n",
    "\n",
    "def write_chord_sequence(path):\n",
    "    file = open(\"seq.txt\", \"w+\")\n",
    "    content = json.dumps(path)\n",
    "    content = content.replace(\"[[[\", \"[\\n\\t[[\")\n",
    "    content = content.replace(\", [[\", \",\\n\\t[[\")\n",
    "    content = content.replace(\"]]]\", \"]]\\n]\")\n",
    "    file.write(content)\n",
    "    file.close()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b0722b0d-43fd-4c06-a932-248bf62fab6f",
   "metadata": {},
   "source": [
    "# This is the static version, which will be the middle piece"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ea38a1da-7eac-4434-97b6-3208379affa0",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "## path functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "aea5215c-8551-4685-b761-11c2dc74cf22",
   "metadata": {},
   "outputs": [],
   "source": [
    "from random import choice, choices\n",
    "\n",
    "# This is for the static version\n",
    "def stochastic_hamiltonian(graph):\n",
    "        \n",
    "    def movement_size_weights(edges):\n",
    "        \n",
    "        def max_cent_diff(edge):\n",
    "            res = max([abs(v) for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None])\n",
    "            return res\n",
    "            \n",
    "        def min_cent_diff(edge):\n",
    "            res = [abs(v) for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None]\n",
    "            res.remove(0)\n",
    "            return min(res)\n",
    "            \n",
    "        for e in edges:\n",
    "            yield 1000 if ((max_cent_diff(e) < 200) and (min_cent_diff(e)) > 50) else 1\n",
    "\n",
    "    def hamiltonian_weights(edges):\n",
    "        for e in edges:\n",
    "            yield 10 if e[1] not in [path_edge[0] for path_edge in path] else 1 / graph.nodes[e[1]]['count']\n",
    "    \n",
    "    def contrary_motion_weights(edges):\n",
    "\n",
    "        def is_contrary(edge):\n",
    "            cent_diffs = [v for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None]\n",
    "            cent_diffs.sort()\n",
    "            return (cent_diffs[0] < 0) and (cent_diffs[1] == 0) and (cent_diffs[2] > 0)\n",
    "\n",
    "        for e in edges:\n",
    "            yield 10 if is_contrary(e) else 1\n",
    "    \n",
    "    def is_directly_tunable_weights(edges):\n",
    "        for e in edges:\n",
    "            yield 10 if e[2]['is_directly_tunable'] else 0\n",
    "\n",
    "    def voice_crossing_weights(edges):\n",
    "        \n",
    "        def has_voice_crossing(edge):\n",
    "            source = list(edge[0])\n",
    "            ordered_source = sorted(source, key=hs_array_to_fr)    \n",
    "            source_order = [ordered_source.index(p) for p in source]\n",
    "            destination = [transpose_pitch(edge[2]['movements'][p]['destination'], edge[2]['transposition']) for p in source]\n",
    "            ordered_destination = sorted(destination, key=hs_array_to_fr)\n",
    "            destination_order = [ordered_destination.index(p) for p in destination]\n",
    "            return source_order != destination_order\n",
    "\n",
    "        for e in edges:\n",
    "            yield 10 if not has_voice_crossing(e) else 0\n",
    "\n",
    "    def is_bass_rooted(chord):\n",
    "        return max([sum(abs(p) for p in collapse_pitch(pitch_difference(chord[0], p))) for p in chord[1:]]) == 1\n",
    "        \n",
    "    check_graph = graph.copy()\n",
    "    next_node = choice([node for node in graph.nodes() if is_bass_rooted(node)])\n",
    "    check_graph.remove_node(next_node)\n",
    "    for node in graph.nodes(data=True):\n",
    "        node[1]['count'] = 1\n",
    "    path = []\n",
    "    while (nx.number_of_nodes(check_graph) > 0) and (len(path) < 5000):\n",
    "        out_edges = list(graph.out_edges(next_node, data=True))\n",
    "        factors = [\n",
    "            movement_size_weights(out_edges), \n",
    "            hamiltonian_weights(out_edges), \n",
    "            contrary_motion_weights(out_edges), \n",
    "            is_directly_tunable_weights(out_edges),\n",
    "            voice_crossing_weights(out_edges)\n",
    "        ]\n",
    "        weights = [prod(a) for a in zip(*factors)]\n",
    "        edge = choices(out_edges, weights=weights)[0]\n",
    "        #edge = random.choice(out_edges)\n",
    "        next_node = edge[1]\n",
    "        node[1]['count'] += 1\n",
    "        path.append(edge)\n",
    "        if next_node in check_graph.nodes:\n",
    "            check_graph.remove_node(next_node)\n",
    "    return path"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "17c03eb3-b670-494b-a6db-225b1ac10525",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "## model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "4e3ef738-7f64-47c3-9129-0450fd031375",
   "metadata": {},
   "outputs": [],
   "source": [
    "dims = (2, 3, 5, 7, 11)\n",
    "root = (0, 0, 0, 0, 0)\n",
    "chord = (root,)\n",
    "chord_set = chords(chord, root, 3, 3)\n",
    "graph = generate_graph(chord_set, 4, 4, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "6e0de0e5-7973-4a15-ae90-5bbb4a1ef49d",
   "metadata": {},
   "outputs": [],
   "source": [
    "path = stochastic_hamiltonian(graph)\n",
    "#for edge in path:\n",
    "#    print(edge)\n",
    "write_chord_sequence(path_to_chords(path, root))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b2e73f16-563f-4783-a6e9-0e5130be80e0",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "## profiling "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "7f2d356f-6377-46cf-bbb1-32111be90f4f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The line_profiler extension is already loaded. To reload it, use:\n",
      "  %reload_ext line_profiler\n"
     ]
    }
   ],
   "source": [
    "%load_ext line_profiler"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "id": "7f141bf5-fdcb-4c01-a10b-3e86d3d1a7b4",
   "metadata": {},
   "outputs": [],
   "source": [
    "chord_set = chords(chord, root, 3, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "id": "88850b8c-a743-44d0-b863-7cd9066690d9",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Timer unit: 1e-09 s\n",
       "\n",
       "Total time: 0.112228 s\n",
       "File: /tmp/ipykernel_515812/2679284550.py\n",
       "Function: edge_data at line 74\n",
       "\n",
       "Line #      Hits         Time  Per Hit   % Time  Line Contents\n",
       "==============================================================\n",
       "    74                                           def edge_data(chords, min_symdiff, max_symdiff, max_chord_size):\n",
       "    75       990   29603044.0  29902.1     26.4      [expanded_base, expanded_comp] = [expand_chord(chord) for chord in chords]\n",
       "    76       990     229527.0    231.8      0.2      edges = []\n",
       "    77       990   23648371.0  23887.2     21.1      transpositions = set(pitch_difference(pair[0], pair[1]) for pair in set(product(expanded_base, expanded_comp)))\n",
       "    78      9193    2315267.0    251.9      2.1      for trans in transpositions:\n",
       "    79      8203   33386775.0   4070.1     29.7          expanded_comp_transposed = transpose_chord(expanded_comp, trans)\n",
       "    80      8203    8393773.0   1023.3      7.5          intersection = set(expanded_base) & set(expanded_comp_transposed)\n",
       "    81      8203   11812057.0   1440.0     10.5          symdiff_len = sum([len(chord) - len(intersection) for chord in [expanded_base, expanded_comp_transposed]])\n",
       "    82      8203    2530596.0    308.5      2.3          if (min_symdiff <= symdiff_len <= max_symdiff):\n",
       "    83                                                       rev_trans = tuple(t * -1 for t in trans)\n",
       "    84                                                       [diff1, diff2] = [list(set(chord) - intersection) for chord in [expanded_base, expanded_comp_transposed]]\n",
       "    85                                                       base_map = {val: {'destination':transpose_pitch(val, rev_trans), 'cent_difference': 0} for val in intersection}\n",
       "    86                                                       base_map_rev = reverse_movements(base_map)\n",
       "    87                                                       tunability = is_directly_tunable(intersection, diff2)\n",
       "    88                                                       maps = []\n",
       "    89                                                       diff1 += [None] * (max_chord_size - len(diff1) - len(intersection))\n",
       "    90                                                       perms = [list(perm) + [None] * (max_chord_size - len(perm) - len(intersection)) for perm in set(permutations(diff2))]\n",
       "    91                                                       for p in perms:\n",
       "    92                                                           appended_map = {\n",
       "    93                                                               diff1[index]:\n",
       "    94                                                               {\n",
       "    95                                                                   'destination': transpose_pitch(val, rev_trans) if val != None else None, \n",
       "    96                                                                   'cent_difference': cent_difference(diff1[index], val) if None not in [diff1[index], val] else None\n",
       "    97                                                               } for index, val in enumerate(p)}\n",
       "    98                                                           edges.append((tuple(expanded_base), tuple(expanded_comp), {\n",
       "    99                                                               'transposition': trans,\n",
       "   100                                                               'symmetric_difference': symdiff_len, \n",
       "   101                                                               'is_directly_tunable': tunability,\n",
       "   102                                                               'movements': base_map | appended_map\n",
       "   103                                                           }))\n",
       "   104                                                           edges.append((tuple(expanded_comp), tuple(expanded_base), {\n",
       "   105                                                               'transposition': rev_trans,\n",
       "   106                                                               'symmetric_difference': symdiff_len, \n",
       "   107                                                               'is_directly_tunable': tunability,\n",
       "   108                                                               'movements': base_map_rev | reverse_movements(appended_map)\n",
       "   109                                                           }))\n",
       "   110       990     308812.0    311.9      0.3      return edges if edges != [] else None"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lprun -f edge_data edges(chord_set, 3, 3, 4)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "94ab1f6a-d020-444a-b67d-e62428ed416f",
   "metadata": {},
   "source": [
    "# This is for the rising version/yitgadal, which will be either the last of the 3 pieces (with option of the pieces played in reverse)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6af2ac39-ffae-4403-af81-c214ac257aac",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "## path functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "6e4ecb10-344b-4721-b2f4-68de91d712db",
   "metadata": {},
   "outputs": [],
   "source": [
    "from random import choice, choices\n",
    "\n",
    "# This is for the rising version / yitgadal\n",
    "def stochastic_hamiltonian(graph):\n",
    "        \n",
    "    def movement_size_weights(edges):\n",
    "        \n",
    "        def max_cent_diff(edge):\n",
    "            res = max([v for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None])\n",
    "            return res\n",
    "            \n",
    "        def min_cent_diff(edge):\n",
    "            res = [v for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None]\n",
    "            res.remove(0)\n",
    "            return min(res)\n",
    "            \n",
    "        for e in edges:\n",
    "            yield 1000 if ((max_cent_diff(e) < 175) and (min_cent_diff(e)) >= 0) else 1\n",
    "\n",
    "    def hamiltonian_weights(edges):\n",
    "        for e in edges:\n",
    "            yield 10 if e[1] not in [path_edge[0] for path_edge in path] else 1 / graph.nodes[e[1]]['count']\n",
    "    \n",
    "    def contrary_motion_weights(edges):\n",
    "\n",
    "        def is_contrary(edge):\n",
    "            cent_diffs = [v for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None]\n",
    "            cent_diffs.sort()\n",
    "            return (cent_diffs[0] < 0) and (cent_diffs[1] == 0) and (cent_diffs[2] > 0)\n",
    "\n",
    "        for e in edges:\n",
    "            yield 2 if is_contrary(e) else 1\n",
    "    \n",
    "    def is_directly_tunable_weights(edges):\n",
    "        for e in edges:\n",
    "            yield 10 if e[2]['is_directly_tunable'] else 0\n",
    "\n",
    "    def transposition_weight(edges):\n",
    "        for e in edges:\n",
    "            yield 1000 if 0 <= hs_array_to_cents(e[2]['transposition']) < 100 else 0\n",
    "\n",
    "    def is_sustained_voice(edges, voice):\n",
    "        \n",
    "        def is_sustained(edge):\n",
    "            source = list(edge[0])\n",
    "            ordered_source = sorted(source, key=hs_array_to_fr)    \n",
    "            destination = [transpose_pitch(edge[2]['movements'][p]['destination'], edge[2]['transposition']) for p in source]\n",
    "            ordered_destination = sorted(destination, key=hs_array_to_fr)\n",
    "            return ordered_source[voice] == ordered_destination[voice]\n",
    "\n",
    "        for e in edges:\n",
    "            yield 10 if is_sustained(e) else 0\n",
    "\n",
    "    def voice_crossing_weights(edges):\n",
    "        \n",
    "        def has_voice_crossing(edge):\n",
    "            source = list(edge[0])\n",
    "            ordered_source = sorted(source, key=hs_array_to_fr)    \n",
    "            source_order = [ordered_source.index(p) for p in source]\n",
    "            destination = [transpose_pitch(edge[2]['movements'][p]['destination'], edge[2]['transposition']) for p in source]\n",
    "            ordered_destination = sorted(destination, key=hs_array_to_fr)\n",
    "            destination_order = [ordered_destination.index(p) for p in destination]\n",
    "            return source_order != destination_order\n",
    "\n",
    "        for e in edges:\n",
    "            yield 10 if not has_voice_crossing(e) else 0\n",
    "\n",
    "    def is_bass_rooted(chord):\n",
    "        return max([sum(abs(p) for p in collapse_pitch(pitch_difference(chord[0], p))) for p in chord[1:]]) == 1\n",
    "        \n",
    "    check_graph = graph.copy()\n",
    "    #next_node = choice([node for node in graph.nodes() if is_bass_rooted(node)])\n",
    "    next_node = choice(list(graph.nodes()))\n",
    "    print(next_node)\n",
    "    check_graph.remove_node(next_node)\n",
    "    for node in graph.nodes(data=True):\n",
    "        node[1]['count'] = 1\n",
    "    path = []\n",
    "    while (nx.number_of_nodes(check_graph) > 0) and (len(path) < 500):\n",
    "        out_edges = list(graph.out_edges(next_node, data=True))\n",
    "        #print([l for l in zip(movement_size_weights(out_edges), hamiltonian_weights(out_edges))])\n",
    "        factors = [\n",
    "            movement_size_weights(out_edges), \n",
    "            hamiltonian_weights(out_edges), \n",
    "            voice_crossing_weights(out_edges),\n",
    "            #contrary_motion_weights(out_edges), \n",
    "            #is_directly_tunable_weights(out_edges),\n",
    "            #transposition_weight(out_edges)\n",
    "            #is_sustained_voice(out_edges, 0)\n",
    "        ]\n",
    "        weights = [prod(a) for a in zip(*factors)]\n",
    "        edge = choices(out_edges, weights=weights)[0]\n",
    "        next_node = edge[1]\n",
    "        node[1]['count'] += 1\n",
    "        path.append(edge)\n",
    "        if next_node in check_graph.nodes:\n",
    "            check_graph.remove_node(next_node)\n",
    "    print(len(check_graph.nodes()))\n",
    "    return path"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "62a5c827-d57f-4eea-a43d-56e24c0e2ff3",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "## model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "a76dc0f3-02e2-4739-9014-b53d3a590e3d",
   "metadata": {},
   "outputs": [],
   "source": [
    "dims = (2, 3, 5, 7, 11)\n",
    "root = (0, 0, 0, 0, 0)\n",
    "chord = (root,)\n",
    "chord_set = chords(chord, root, 3, 3)\n",
    "graph = generate_graph(chord_set, 2, 2, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "7b76d848-fe53-4b60-b414-46cfe570f78b",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "((3, 0, -1, 0, 0), (2, -1, 0, 0, 0), (0, 0, 0, 0, 0))\n",
      "0\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "178"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "path = stochastic_hamiltonian(graph)\n",
    "#for edge in path:\n",
    "#    print(edge)\n",
    "write_chord_sequence(path_to_chords(path, root))\n",
    "len(path)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4a9a4688-c648-4339-a328-4c514fca75f2",
   "metadata": {},
   "source": [
    "# This is for the beginning/breysheet, which will be the first of the set of 3 (with option in reverse)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6849a0ac-cb9b-45f2-b32d-5695a06549d9",
   "metadata": {},
   "source": [
    "## functions for analyzing a recording and filtering the data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "91fd1700-6f41-4a4c-98cb-8355075d44d2",
   "metadata": {},
   "outputs": [],
   "source": [
    "#ffmpeg -i video.mkv -acodec pcm_s16le -ar 16000 -ac 2 bereshit_chant.wav\n",
    "#sox bereshit_chant.wav bereshit_chant_snippet.wav trim 4 60"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "51be5ff2-2b7f-4350-878f-09e79d4bff1f",
   "metadata": {},
   "outputs": [],
   "source": [
    "import crepe\n",
    "from scipy.io import wavfile"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "9b8e1e21-c5f5-4d77-8d1c-094b073b8322",
   "metadata": {},
   "outputs": [],
   "source": [
    "sr, audio = wavfile.read('/home/mwinter/Downloads/bereshit_chant_snippet.wav')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "01f8f969-fc3c-46a2-acfd-b1f956e438bc",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\u001b[1m76/76\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m22s\u001b[0m 292ms/step\n"
     ]
    }
   ],
   "source": [
    "time, frequency, confidence, activation = crepe.predict(audio, sr, step_size = 25)\n",
    "#time, frequency, confidence = [list(time), list(frequency), list(confidence)]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6909f6c9-b8b7-4fe8-bca3-57fb8b8851b3",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "## legacy stuff"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "63d4b87f-7782-4aec-9066-6f2710f3d997",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
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     ]
    },
    {
     "data": {
      "text/plain": [
       "[(2.125, 51.0, 2, (0,), 0.0),\n",
       " (0.3, 46.0, 1, (0,), -500.0),\n",
       " (0.7, 44.0, 1, (0,), -200.0),\n",
       " (0.3, 41.0, 0, (0,), -300.0),\n",
       " (0.7, 39.0, 0, (0,), -200.0),\n",
       " (1.0, 53.0, 2, (0,), 1400.0),\n",
       " (0.2, 42.0, 1, (0,), -1100.0),\n",
       " (1.5, 51.0, 2, (0,), 900.0),\n",
       " (0.35, 41.0, 1, (0,), -1000.0),\n",
       " (1.7, 37.0, 0, (0,), -400.0),\n",
       " (1.85, 36.0, 0, (0,), -100.0),\n",
       " (0.6, 42.0, 1, (0,), 600.0),\n",
       " (0.725, 49.0, 2, (0,), 700.0),\n",
       " (0.575, 48.0, 2, (0,), -100.0),\n",
       " (0.4, 37.0, 0, (0,), -1100.0),\n",
       " (0.325, 49.0, 2, (0,), 1200.0),\n",
       " (0.05, 39.0, 0, (0,), -1000.0),\n",
       " (0.35, 44.0, 1, (0,), 500.0),\n",
       " (0.225, 51.0, 2, (0,), 700.0),\n",
       " (0.05, 40.0, 0, (0,), -1100.0),\n",
       " (0.05, 39.0, 0, (0,), -100.0),\n",
       " (0.3, 44.0, 1, (0,), 500.0),\n",
       " (0.05, 52.0, 2, (0,), 800.0),\n",
       " (0.75, 51.0, 2, (0,), -100.0),\n",
       " (0.05, 42.0, 1, (0,), -900.0),\n",
       " (1.25, 41.0, 1, (0,), -100.0),\n",
       " (0.2, 37.0, 0, (0,), -400.0),\n",
       " (0.8, 36.0, 0, (0,), -100.0),\n",
       " (0.6, 44.0, 1, (0,), 800.0),\n",
       " (0.2, 49.0, 2, (0,), 500.0),\n",
       " (1.8, 48.0, 2, (0,), -100.0),\n",
       " (0.5, 46.0, 1, (0,), -200.0),\n",
       " (1.3, 39.0, 0, (0,), -700.0),\n",
       " (0.3, 44.0, 1, (0,), 500.0),\n",
       " (0.925, 51.0, 2, (0,), 700.0),\n",
       " (0.45, 41.0, 0, (0,), -1000.0),\n",
       " (1.225, 39.0, 0, (0,), -200.0),\n",
       " (0.375, 53.0, 2, (0,), 1400.0),\n",
       " (1.1, 40.0, 0, (0,), -1300.0),\n",
       " (0.175, 45.0, 1, (0,), 500.0),\n",
       " (0.225, 51.0, 2, (0,), 600.0),\n",
       " (0.025, 41.0, 1, (0,), -1000.0),\n",
       " (1.3, 36.0, 0, (0,), -500.0),\n",
       " (0.05, 46.0, 1, (0,), 1000.0),\n",
       " (0.4, 52.0, 2, (0,), 600.0),\n",
       " (1.8, 48.0, 2, (0,), -400.0),\n",
       " (0.7, 44.0, 1, (0,), -400.0),\n",
       " (0.1, 42.0, 1, (0,), -200.0),\n",
       " (0.95, 53.0, 2, (0,), 1100.0),\n",
       " (1.45, 41.0, 0, (0,), -1200.0),\n",
       " (0.35, 51.0, 2, (0,), 1000.0),\n",
       " (0.175, 39.0, 0, (0,), -1200.0),\n",
       " (0.175, 37.0, 0, (0,), -200.0),\n",
       " (1.375, 49.0, 2, (0,), 1200.0),\n",
       " (0.025, 40.0, 0, (0,), -900.0),\n",
       " (0.25, 41.0, 0, (0,), 100.0),\n",
       " (1.35, 40.0, 0, (0,), -100.0),\n",
       " (0.1, 45.0, 1, (0,), 500.0),\n",
       " (0.25, 46.0, 1, (0,), 100.0),\n",
       " (0.375, 39.0, 0, (0,), -700.0),\n",
       " (0.425, 45.0, 1, (0,), 600.0),\n",
       " (0.575, 44.0, 1, (0,), -100.0),\n",
       " (0.1, 45.0, 1, (0,), 100.0),\n",
       " (0.225, 44.0, 1, (0,), -100.0),\n",
       " (0.2, 42.0, 1, (0,), -200.0),\n",
       " (0.225, 41.0, 1, (0,), -100.0),\n",
       " (0.175, 39.0, 1, (0,), -200.0),\n",
       " (0.4, 40.0, 0, (0,), 100.0),\n",
       " (0.15, 39.0, 0, (0,), -100.0),\n",
       " (0.1, 52.0, 2, (0,), 1300.0),\n",
       " (0.625, 53.0, 2, (0,), 100.0),\n",
       " (0.025, 52.0, 2, (0,), -100.0),\n",
       " (0.4, 37.0, 0, (0,), -1500.0),\n",
       " (0.4, 51.0, 2, (0,), 1400.0),\n",
       " (0.175, 36.0, 0, (0,), -1500.0),\n",
       " (0.1, 52.0, 2, (0,), 1600.0),\n",
       " (0.225, 51.0, 2, (0,), -100.0),\n",
       " (0.2, 49.0, 2, (0,), -200.0),\n",
       " (0.2, 48.0, 2, (0,), -100.0),\n",
       " (0.025, 34.0, 0, (0,), -1400.0),\n",
       " (0.075, 46.0, 2, (0,), 1200.0),\n",
       " (0.3, 44.0, 1, (0,), -200.0),\n",
       " (1.4, 45.0, 1, (0,), 100.0),\n",
       " (0.3, 51.0, 2, (0,), 600.0),\n",
       " (0.2, 52.0, 2, (0,), 100.0),\n",
       " (0.075, 39.0, 0, (0,), -1300.0),\n",
       " (1.425, 40.0, 0, (0,), 100.0),\n",
       " (0.4, 42.0, 0, (0,), 200.0),\n",
       " (0.3, 44.0, 0, (0,), 200.0),\n",
       " (0.4, 45.0, 0, (0,), 100.0),\n",
       " (0.4, 47.0, 1, (0,), 200.0),\n",
       " (0.3, 49.0, 1, (0,), 200.0),\n",
       " (1.0, 50.0, 1, (0,), 100.0),\n",
       " (0.1, 54.0, 2, (0,), 400.0),\n",
       " (0.3, 41.0, 0, (0,), -1300.0),\n",
       " (0.3, 56.0, 2, (0,), 1500.0),\n",
       " (0.125, 57.0, 2, (0,), 100.0),\n",
       " (1.525, 46.0, 1, (0,), -1100.0),\n",
       " (0.35, 50.0, 1, (0,), 400.0),\n",
       " (0.025, 48.0, 1, (0,), -200.0),\n",
       " (0.15, 47.0, 1, (0,), -100.0),\n",
       " (0.025, 44.0, 1, (0,), -300.0),\n",
       " (2.55, 53.0, 2, (0,), 900.0),\n",
       " (0.35, 45.0, 0, (0,), -800.0),\n",
       " (0.025, 43.0, 0, (0,), -200.0),\n",
       " (0.15, 42.0, 0, (0,), -100.0),\n",
       " (1.0, 39.0, 0, (0,), -300.0),\n",
       " (0.35, 57.0, 2, (0,), 1800.0),\n",
       " (0.025, 55.0, 2, (0,), -200.0),\n",
       " (0.15, 54.0, 2, (0,), -100.0),\n",
       " (2.6, 51.0, 2, (0,), -300.0),\n",
       " (0.05, 41.0, 0, (0,), -1000.0),\n",
       " (0.2, 46.0, 1, (0,), 500.0),\n",
       " (1.95, 53.0, 2, (0,), 700.0),\n",
       " (0.05, 39.0, 0, (0,), -1400.0),\n",
       " (0.2, 44.0, 1, (0,), 500.0),\n",
       " (2.125, 51.0, 2, (0,), 700.0),\n",
       " (0.45, 42.0, 1, (0,), -900.0),\n",
       " (1.6, 41.0, 1, (0,), -100.0),\n",
       " (0.45, 37.0, 0, (0,), -400.0),\n",
       " (0.025, 36.0, 0, (0,), -100.0),\n",
       " (1.0, 42.0, 1, (0,), 600.0),\n",
       " (0.1, 37.0, 0, (0,), -500.0),\n",
       " (1.0, 44.0, 1, (0,), 700.0),\n",
       " (0.75, 39.0, 0, (0,), -500.0),\n",
       " (1.125, 49.0, 2, (0,), 1000.0),\n",
       " (0.725, 48.0, 2, (0,), -100.0),\n",
       " (0.275, 49.0, 2, (0,), 100.0),\n",
       " (1.3, 51.0, 2, (0,), 200.0),\n",
       " (0.025, 50.0, 2, (0,), -100.0),\n",
       " (0.075, 43.0, 1, (0,), -700.0),\n",
       " (0.05, 52.0, 2, (0,), 900.0),\n",
       " (0.275, 53.0, 2, (0,), 100.0),\n",
       " (0.2, 45.0, 1, (0,), -800.0),\n",
       " (0.4, 46.0, 1, (0,), 100.0),\n",
       " (0.4, 38.0, 0, (0,), -800.0),\n",
       " (0.2, 40.0, 0, (0,), 200.0),\n",
       " (0.4, 41.0, 0, (0,), 100.0),\n",
       " (0.275, 44.0, 1, (0,), 300.0),\n",
       " (0.1, 48.0, 1, (0,), 400.0),\n",
       " (0.2, 50.0, 1, (0,), 200.0),\n",
       " (0.125, 49.0, 1, (0,), -100.0),\n",
       " (0.3, 55.0, 2, (0,), 600.0),\n",
       " (0.1, 39.0, 0, (0,), -1600.0),\n",
       " (0.175, 57.0, 2, (0,), 1800.0),\n",
       " (0.1, 43.0, 0, (0,), -1400.0),\n",
       " (0.175, 45.0, 0, (0,), 200.0),\n",
       " (0.025, 50.0, 1, (0,), 500.0),\n",
       " (0.225, 44.0, 0, (0,), -600.0),\n",
       " (0.1, 49.0, 1, (0,), 500.0),\n",
       " (0.15, 56.0, 2, (0,), 700.0),\n",
       " (0.5, 46.0, 1, (0,), -1000.0),\n",
       " (0.25, 45.0, 0, (0,), -100.0),\n",
       " (0.65, 44.0, 0, (0,), -100.0),\n",
       " (0.35, 44.0, 1, (0,), 0.0),\n",
       " (1.7, 41.0, 0, (0,), -300.0),\n",
       " (0.3, 39.0, 0, (0,), -200.0),\n",
       " (1.0, 57.0, 2, (0,), 1800.0),\n",
       " (1.0, 56.0, 2, (0,), -100.0),\n",
       " (1.7, 53.0, 2, (0,), -300.0),\n",
       " (2.625, 51.0, 2, (0,), -200.0),\n",
       " (0.05, 41.0, 0, (0,), -1000.0),\n",
       " (0.2, 46.0, 1, (0,), 500.0),\n",
       " (0.2, 53.0, 2, (0,), 700.0),\n",
       " (0.05, 39.0, 0, (0,), -1400.0),\n",
       " (0.2, 44.0, 1, (0,), 500.0),\n",
       " (2.475, 51.0, 2, (0,), 700.0),\n",
       " (1.5, 41.0, 1, (0,), -1000.0),\n",
       " (1.6, 42.0, 1, (0,), 100.0),\n",
       " (1.3, 36.0, 0, (0,), -600.0),\n",
       " (0.2, 39.0, 1, (0,), 300.0),\n",
       " (0.025, 37.0, 0, (0,), -200.0),\n",
       " (0.575, 48.0, 2, (0,), 1100.0),\n",
       " (0.3, 46.0, 1, (0,), -200.0),\n",
       " (0.625, 47.0, 1, (0,), 100.0),\n",
       " (0.55, 49.0, 2, (0,), 200.0),\n",
       " (0.2, 34.0, 0, (0,), -1500.0),\n",
       " (0.075, 41.0, 0, (0,), 700.0),\n",
       " (0.525, 42.0, 0, (0,), 100.0),\n",
       " (0.125, 37.0, 0, (0,), -500.0),\n",
       " (1.425, 42.0, 1, (0,), 500.0),\n",
       " (0.65, 46.0, 2, (0,), 400.0),\n",
       " (0.075, 53.0, 2, (0,), 700.0),\n",
       " (0.525, 54.0, 2, (0,), 100.0),\n",
       " (0.1, 49.0, 2, (0,), -500.0),\n",
       " (0.9, 44.0, 1, (0,), -500.0),\n",
       " (0.325, 41.0, 1, (0,), -300.0),\n",
       " (0.475, 39.0, 0, (0,), -200.0),\n",
       " (2.175, 51.0, 2, (0,), 1200.0),\n",
       " (0.95, 48.0, 2, (0,), -300.0),\n",
       " (0.05, 36.0, 0, (0,), -1200.0),\n",
       " (0.5, 44.0, 1, (0,), 800.0),\n",
       " (0.6, 45.0, 1, (0,), 100.0),\n",
       " (1.175, 44.0, 1, (0,), -100.0),\n",
       " (0.125, 39.0, 0, (0,), -500.0),\n",
       " (0.15, 40.0, 0, (0,), 100.0),\n",
       " (0.35, 39.0, 0, (0,), -100.0),\n",
       " (0.1, 46.0, 1, (0,), 700.0),\n",
       " (0.2, 41.0, 0, (0,), -500.0),\n",
       " (0.1, 51.0, 2, (0,), 1000.0),\n",
       " (0.4, 40.0, 0, (0,), -1100.0),\n",
       " (0.05, 52.0, 2, (0,), 1200.0),\n",
       " (0.35, 39.0, 0, (0,), -1300.0),\n",
       " (0.2, 45.0, 1, (0,), 600.0),\n",
       " (1.6, 51.0, 2, (0,), 600.0),\n",
       " (0.2, 44.0, 1, (0,), -700.0),\n",
       " (0.45, 53.0, 2, (0,), 900.0),\n",
       " (0.05, 37.0, 0, (0,), -1600.0),\n",
       " (0.2, 42.0, 1, (0,), 500.0),\n",
       " (0.5, 43.0, 1, (0,), 100.0),\n",
       " (0.05, 52.0, 2, (0,), 900.0),\n",
       " (0.35, 38.0, 0, (0,), -1400.0),\n",
       " (0.475, 45.0, 1, (0,), 700.0),\n",
       " (0.925, 44.0, 1, (0,), -100.0),\n",
       " (0.7, 51.0, 2, (0,), 700.0),\n",
       " (0.2, 49.0, 2, (0,), -200.0),\n",
       " (0.9, 50.0, 2, (0,), 100.0),\n",
       " (0.05, 52.0, 2, (0,), 200.0),\n",
       " (0.425, 40.0, 0, (0,), -1200.0),\n",
       " (0.95, 51.0, 2, (0,), 1100.0),\n",
       " (1.925, 39.0, 0, (0,), -1200.0),\n",
       " (0.8, 40.0, 0, (0,), 100.0),\n",
       " (0.3, 41.0, 0, (0,), 100.0),\n",
       " (0.8, 45.0, 1, (0,), 400.0),\n",
       " (0.6, 46.0, 1, (0,), 100.0),\n",
       " (0.375, 37.0, 0, (0,), -900.0),\n",
       " (0.725, 52.0, 2, (0,), 1500.0),\n",
       " (0.075, 42.0, 1, (0,), -1000.0),\n",
       " (1.7, 53.0, 2, (0,), 1100.0),\n",
       " (0.025, 49.0, 2, (0,), -400.0),\n",
       " (0.75, 49.0, 1, (0,), 0.0),\n",
       " (0.9, 47.0, 1, (0,), -200.0),\n",
       " (0.8, 46.0, 1, (0,), -100.0),\n",
       " (0.65, 44.0, 1, (0,), -200.0),\n",
       " (0.65, 44.0, 0, (0,), 0.0),\n",
       " (0.1, 46.0, 1, (0,), 200.0),\n",
       " (0.375, 42.0, 0, (0,), -400.0),\n",
       " (0.2, 41.0, 0, (0,), -100.0),\n",
       " (0.275, 39.0, 0, (0,), -200.0),\n",
       " (0.05, 56.0, 2, (0,), 1700.0),\n",
       " (0.25, 41.0, 0, (0,), -1500.0),\n",
       " (0.45, 39.0, 0, (0,), -200.0),\n",
       " (0.375, 54.0, 2, (0,), 1500.0),\n",
       " (0.2, 53.0, 2, (0,), -100.0),\n",
       " (0.325, 51.0, 2, (0,), -200.0),\n",
       " (0.25, 53.0, 2, (0,), 200.0),\n",
       " (4.55, 51.0, 2, (0,), -200.0),\n",
       " (0.575, 42.0, 1, (0,), -900.0),\n",
       " (0.325, 41.0, 1, (0,), -100.0),\n",
       " (0.175, 42.0, 1, (0,), 100.0),\n",
       " (0.075, 44.0, 1, (0,), 200.0),\n",
       " (0.4, 37.0, 0, (0,), -700.0),\n",
       " (1.075, 49.0, 2, (0,), 1200.0),\n",
       " (0.325, 36.0, 0, (0,), -1300.0),\n",
       " (0.175, 37.0, 0, (0,), 100.0),\n",
       " (0.725, 39.0, 0, (0,), 200.0),\n",
       " (1.3, 48.0, 2, (0,), 900.0),\n",
       " (0.7, 49.0, 2, (0,), 100.0),\n",
       " (0.9, 51.0, 2, (0,), 200.0),\n",
       " (0.6, 45.0, 1, (0,), -600.0),\n",
       " (0.4, 46.0, 1, (0,), 100.0),\n",
       " (0.6, 40.0, 0, (0,), -600.0),\n",
       " (0.2, 41.0, 0, (0,), 100.0),\n",
       " (0.8, 44.0, 1, (0,), 300.0),\n",
       " (0.075, 40.0, 0, (0,), -400.0),\n",
       " (0.125, 52.0, 2, (0,), 1200.0),\n",
       " (0.025, 39.0, 0, (0,), -1300.0),\n",
       " (0.25, 53.0, 2, (0,), 1400.0),\n",
       " (0.05, 52.0, 2, (0,), -100.0),\n",
       " (0.45, 51.0, 2, (0,), -100.0),\n",
       " (0.025, 52.0, 2, (0,), 100.0),\n",
       " (0.325, 45.0, 1, (0,), -700.0)]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import librosa \n",
    "import numpy as np\n",
    "from scipy.signal import savgol_filter\n",
    "import matplotlib.pyplot as plt\n",
    "from random import randint\n",
    "\n",
    "def filter_data(time, frequency, confidence):\n",
    "    data = tuple(data for data in zip(list(time), list(frequency), list(confidence)) if data[2] > 0.1)\n",
    "    dev = 0\n",
    "    dur = 0\n",
    "    for (p1, p2) in pairwise(data):\n",
    "        t_diff = (p2[0] - p1[0])\n",
    "        dur = round(dur + (p2[0] - p1[0]), 2)\n",
    "        if(True):\n",
    "            freq1, conf1 = p1[1:3]\n",
    "            midi1 = librosa.hz_to_midi(freq1)\n",
    "            r_midi1 = np.around(midi1)\n",
    "            freq2, conf2 = p2[1:3]\n",
    "            midi2 = librosa.hz_to_midi(freq2)\n",
    "            r_midi2 = np.around(midi2)\n",
    "            #if(r_midi2 != r_midi1):\n",
    "            if(True):\n",
    "                yield(dur, freq1, conf1, midi1, r_midi1, dev * 100)\n",
    "                dev = r_midi2 - r_midi1\n",
    "                dur = 0\n",
    "\n",
    "def filter_data(time, frequency, confidence):\n",
    "    data = tuple(data for data in zip(list(time), list(frequency), list(confidence)) if data[2] > 0.9)\n",
    "    #durs = tuple(round(y[0]-x[0], 2) for (x, y) in pairwise(data)) + ((1,))\n",
    "    #data = tuple((d,) + data[i][1:] for i, d in enumerate(durs) if d > 0.01)\n",
    "    #print(data)\n",
    "    m, rm = [librosa.hz_to_midi(data[0][1]), np.around(librosa.hz_to_midi(data[0][1]))]\n",
    "    yield(data[0] + (m, rm, 0,))\n",
    "    for i, [t, f, c] in enumerate(data):\n",
    "        nm, nrm = [librosa.hz_to_midi(f), np.around(librosa.hz_to_midi(f))]\n",
    "        if((0 < i < len(data) - 1) and (nrm != rm)):\n",
    "            m, rm, d = [nm, nrm, nrm - rm]\n",
    "            yield(t, f, c, m, rm, d * 100)\n",
    "            \n",
    "t_min = 50\n",
    "t_max = 600\n",
    "f_time, f_frequency, f_confidence = [time[t_min:], frequency[t_min:], confidence[t_min:]]\n",
    "s_confidence = savgol_filter(f_confidence, 30, 4)\n",
    "#plt.plot(f_time, f_confidence)\n",
    "#plt.plot(f_time, s_confidence, color='red')\n",
    "#plt.show()\n",
    "\n",
    "def freqs_to_midi(freqs, confs):\n",
    "    last_confident_value = 51\n",
    "    for f, c in zip(freqs, confs):\n",
    "        if c > 0.9:\n",
    "            last_confident_value = librosa.hz_to_midi(f)\n",
    "        yield last_confident_value\n",
    "            \n",
    "#m_time, midi = zip(*[[t, librosa.hz_to_midi(f)] for t, f, c in zip(f_time, f_frequency, s_confidence) if c > 0.0])\n",
    "#nr_midi = np.interp(f_time, m_time, midi)\n",
    "#r_midi = np.interp(f_time, m_time, np.around(midi))\n",
    "#midi\n",
    "\n",
    "#data_v2 = tuple(d + (2,) for d in zip(f_time, f_frequency, s_confidence))\n",
    "#data_v1 = tuple(d + (1,) for d in zip([t + 2 for t in f_time], f_frequency, s_confidence))\n",
    "#data_v0 = tuple(d + (0,) for d in zip([t + 4 for t in f_time], f_frequency, s_confidence))\n",
    "\n",
    "#data = data_v2 + data_v1 + data_v0\n",
    "#data = sorted(data)\n",
    "#f_time = tuple(d[0] for d in data)\n",
    "#ins = tuple(d[-1] for d in data)\n",
    "\n",
    "def snap_midi(midi):\n",
    "    r_midi = np.around(midi)\n",
    "    s_midi = np.around(savgol_filter(midi, 30, 5))\n",
    "    last_val = s_midi[0]\n",
    "    for i, (r1, r2) in enumerate(pairwise(r_midi)):\n",
    "        if r1 != r2:\n",
    "            last_val = s_midi[i+5]\n",
    "        yield last_val\n",
    "    yield last_val\n",
    "\n",
    "def format_midi(midi):\n",
    "    last_val = midi[0]\n",
    "    dur = 1\n",
    "    dev = 0.0\n",
    "    first_flag = True\n",
    "    for i, (m1, m2) in enumerate(pairwise(midi)):\n",
    "        if m1 != m2:\n",
    "            #yield (dur / 40, last_val, dev * 100)\n",
    "            if first_flag or dur < 10:\n",
    "                yield (10 / 40.0, last_val, dev * 100)\n",
    "                first_flag = False\n",
    "            else:\n",
    "                size = int(dur / 20)\n",
    "                \n",
    "                #sep = randint(1, size)\n",
    "                #yield (10 / 40.0 * sep, last_val, dev * 100)\n",
    "                #yield (10 / 40.0 * (size - sep), last_val, 0.0)\n",
    "\n",
    "                b_dur = randint(5, 10)\n",
    "                yield (randint(10, 20) / 40.0, last_val, dev * 100)\n",
    "                for i in range(size):\n",
    "                    yield (randint(10, 20) / 40.0, last_val, 0.0)\n",
    "                    \n",
    "            last_val = m2\n",
    "            dur = 1\n",
    "            dev = m2 - m1\n",
    "        else:\n",
    "            dur += 1\n",
    "\n",
    "#need to figure out how to make each note hold for a bit and then release\n",
    "def filter_midi(midi):\n",
    "    last_val = midi[0][-1]\n",
    "    ins = 2\n",
    "    dur = 1\n",
    "    total_dur = 0\n",
    "    dev = 0.0\n",
    "    remaining_durs = [100, 100, 100]\n",
    "    first_flag = True\n",
    "    for i, (m1, m2) in enumerate(pairwise(midi)):\n",
    "        if m1 != m2:\n",
    "            #print([m1, m2])\n",
    "            #print(last_val)\n",
    "            #print(ins)\n",
    "            #yield (dur / 40, last_val, ins, dev * 100)\n",
    "\n",
    "            if first_flag or dur < 20:\n",
    "                allowed_ins = (ins,)\n",
    "                print((10 / 40.0, last_val, ins, allowed_ins, dev * 100))\n",
    "                yield (10 / 40.0, last_val, ins, allowed_ins, dev * 100)\n",
    "                first_flag = False\n",
    "            else:\n",
    "                size = int(dur / 10) \n",
    "\n",
    "                #b_dur = randint(1, size)\n",
    "                #yield ((b_dur * 10) / 40.0, last_val, ins, dev * 100)\n",
    "                #yield (((size - b_dur) * 10) / 40.0, last_val, ins, 0)\n",
    "\n",
    "                #yield (((size - 1) * 10) / 40.0, last_val, ins, dev * 100)\n",
    "                #yield (10 / 40.0, last_val, ins, 0)\n",
    "\n",
    "                #allowed_ins = tuple(ibx for ibx, r_dur in enumerate(remaining_durs) if r_dur < 20 or ibx == ins)\n",
    "                allowed_ins = (ins,)\n",
    "                yield (randint(5, 10) / 40.0, last_val, ins, allowed_ins, dev * 100)\n",
    "                print((randint(5, 10) / 40.0, last_val, ins, allowed_ins, dev * 100))\n",
    "                for irx in range(size - 1):\n",
    "                    allowed_ins = tuple(ibx for ibx, r_dur in enumerate(remaining_durs) if r_dur < 20 and ibx != ins)\n",
    "                    yield (randint(5, 10) / 40.0, last_val, ins, allowed_ins, 0.0)\n",
    "                    print((randint(5, 10) / 40.0, last_val, ins, allowed_ins, 0.0))\n",
    "\n",
    "            remaining_durs[ins] = 0\n",
    "            print(ins)\n",
    "            print(midi[i + remaining_durs[ins]])\n",
    "            print(midi[i + 1 + remaining_durs[ins]])\n",
    "            while midi[i + 1 + remaining_durs[ins]][ins] == midi[i + 2 + remaining_durs[ins]][ins] and midi[total_dur + 2 + remaining_durs[ins]][ins] < len(midi):\n",
    "                remaining_durs[ins] += 1\n",
    "\n",
    "            ins = [imx for imx, m in enumerate(m1) if m1[imx] != m2[imx]][0]\n",
    "            #ins = 2\n",
    "            dur = 1\n",
    "            dev = m2[ins] - last_val\n",
    "            last_val = m2[ins]\n",
    "        else:\n",
    "            dur += 1\n",
    "            remaining_durs = [r_dur - 1 for r_dur in remaining_durs]\n",
    "        print(remaining_durs)\n",
    "        print(midi[i])\n",
    "        total_dur += 1\n",
    "\n",
    "def filter_midi(midi):\n",
    "    remainder_durs = [1000, 1000, 1000]\n",
    "    for imx, m in enumerate(midi):\n",
    "        if m != midi[imx - 1]:\n",
    "            if imx == 0:\n",
    "                ins = 2\n",
    "                val = m[2]\n",
    "                last_val = val\n",
    "            else:\n",
    "                ins = [pmx for pmx, p in enumerate(m) if p != midi[imx - 1][pmx]][0]\n",
    "                val = m[ins]\n",
    "            note_dur = 0\n",
    "            print(ins)\n",
    "            print(val)\n",
    "            while imx + note_dur < len(midi) and midi[imx + note_dur][ins] == val:\n",
    "                note_dur += 1\n",
    "            next_dur = 0\n",
    "            while imx + next_dur < len(midi) and midi[imx + next_dur] == m:\n",
    "                next_dur += 1\n",
    "            remainder_durs[ins] = note_dur - next_dur\n",
    "            dev = val - last_val\n",
    "            allowed_ins = (0,)\n",
    "            \n",
    "            yield (next_dur / 40.0, val, ins, allowed_ins, dev * 100)\n",
    "            \n",
    "            last_val = val\n",
    "            remainder_durs = [rd - 1 for rd in remainder_durs]\n",
    "    \n",
    "midi = list(freqs_to_midi(f_frequency, f_confidence))\n",
    "\n",
    "#plt.plot(f_time, midi)\n",
    "#plt.plot(f_time, savgol_filter(midi, 30, 5), color='yellow')\n",
    "#plt.plot(f_time, np.around(savgol_filter(midi, 30, 5)), color='red')\n",
    "#plt.plot(f_time, np.around(midi), color='green')\n",
    "#plt.plot(f_time, list(snap_midi(midi)), color='blue')\n",
    "#plt.show()\n",
    "\n",
    "midi = tuple(snap_midi(midi))\n",
    "\n",
    "#print(len(midi))\n",
    "#print(midi)\n",
    "\n",
    "fs = 2351 # sample rate \n",
    "f = 20 # the frequency of the signal\n",
    "\n",
    "#midi = zip(\n",
    "#    tuple(midi[0] - 12 for i in range(2 * 40)) + tuple(chain(*tuple([m - 12 for r in range(randint(2, 4))] for m in midi))),\n",
    "#    tuple(midi[0] - 7 for i in range(1 * 40)) + tuple(chain(*tuple([m - 7 for r in range(randint(1, 3))] for m in midi))) + tuple(midi[-1] - 12 for i in range(5 * 40)),\n",
    "#    tuple(chain(*tuple([m for r in range(int(1 - np.cos(2*np.pi*f * (imx/fs))) * 5 + 1)] for imx, m in enumerate(midi)))) + tuple(midi[-1] - 0 for i in range(10 * 40)))\n",
    "\n",
    "midi = zip(\n",
    "    tuple(midi[0] - 12 for i in range(2 * 40)) + tuple(chain(*tuple([m - 12 for r in range(int(1 - np.sin(2*np.pi*14 * (imx/fs))) * 3 + 1)] for imx, m in enumerate(midi)))),\n",
    "    tuple(midi[0] - 7 for i in range(1 * 40)) + tuple(chain(*tuple([m - 7 for r in range(int(1 - np.sin(2*np.pi*12 * (imx/fs))) * 3 + 1)] for imx, m in enumerate(midi)))),\n",
    "    tuple(chain(*tuple([m for r in range(int(1 - np.cos(0.5 * np.pi + 2*np.pi*10 * (imx/fs))) * 3 + 1)] for imx, m in enumerate(midi))))\n",
    ")\n",
    "\n",
    "#for m in list(midi):\n",
    "#    print(m)\n",
    "\n",
    "target_melody_data = list(filter_midi(list(midi)))\n",
    "target_melody_data\n",
    "\n",
    "\n",
    "#target_melody_data = list(filter_data(time, frequency, confidence))\n",
    "#target_melody_data\n",
    "#durs = tuple(round(y[0]-x[0], 2) for (x, y) in pairwise(target_melody_data)) + ((1,))\n",
    "#print(durs)\n",
    "#target_melody_data = tuple((d,) + target_melody_data[i][1:] for i, d in enumerate(durs) if d > 0.1)\n",
    "#list(target_melody_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "id": "762c7dd3-7c20-47a5-aa12-c090f243833a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[   0    1    2 ... 2348 2349 2350]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "range(0, 1)"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt # For ploting\n",
    "import numpy as np # to work with numerical data efficiently\n",
    "\n",
    "fs = 2351 # sample rate \n",
    "f = 3 # the frequency of the signal\n",
    "\n",
    "x = np.arange(fs) # the points on the x axis for plotting\n",
    "print(x)\n",
    "# compute the value (amplitude) of the sin wave at the for each sample\n",
    "y = (1 - np.sin(0.5 * np.pi + 2*np.pi*f * ((x)/fs))) * 2 + 0\n",
    "\n",
    "#this instruction can only be used with IPython Notbook. \n",
    "# showing the exact location of the smaples\n",
    "plt.stem(x,y, 'r', )\n",
    "plt.plot(x,y)\n",
    "np.cos(2*np.pi*f * (10/fs)) * 1 + 2\n",
    "range(int((1 - np.sin(2*np.pi*f * (50/fs))) *  + 2))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1d9d26d1-caa8-43f3-a4da-803ae55b3502",
   "metadata": {},
   "source": [
    "## cleanup (this is what is being used)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 151,
   "id": "fb2ad9ad-7a8c-4f84-ab0c-9c1f1ecdb8a8",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "146.9\n",
      "0.0 51.0 2 51.0\n",
      "4.125\n",
      "here\n",
      "3.175 51.0 2 None\n",
      "4.125\n",
      "here\n",
      "3.5 51.0 2 None\n",
      "4.125\n",
      "here\n",
      "3.875 51.0 2 None\n",
      "4.125\n",
      "2.125 46.0 1 46.0\n",
      "0.3\n",
      "2.425 44.0 1 44.0\n",
      "2.7\n",
      "here\n",
      "4.575 44.0 1 None\n",
      "2.7\n",
      "here\n",
      "4.9 44.0 1 None\n",
      "2.7\n",
      "3.125 41.0 0 41.0\n",
      "0.3\n",
      "3.425 39.0 0 39.0\n",
      "3.75\n",
      "here\n",
      "6.4 39.0 0 None\n",
      "3.75\n",
      "here\n",
      "6.775 39.0 0 None\n",
      "3.75\n",
      "here\n",
      "7.075 39.0 0 None\n",
      "3.75\n",
      "4.125 53.0 2 53.0\n",
      "1.2\n",
      "5.125 42.0 1 42.0\n",
      "1.7\n",
      "here\n",
      "6.075 42.0 1 None\n",
      "1.7\n",
      "here\n",
      "6.45 42.0 1 None\n",
      "1.7\n",
      "here\n",
      "6.7 42.0 1 None\n",
      "1.7\n",
      "5.325 51.0 2 51.0\n",
      "6.0\n",
      "here\n",
      "10.8 51.0 2 None\n",
      "6.0\n",
      "here\n",
      "11.175 51.0 2 None\n",
      "6.0\n",
      "6.825 41.0 1 41.0\n",
      "3.9\n",
      "here\n",
      "9.975 41.0 1 None\n",
      "3.9\n",
      "here\n",
      "10.275 41.0 1 None\n",
      "3.9\n",
      "here\n",
      "10.525 41.0 1 None\n",
      "3.9\n",
      "7.175 37.0 0 37.0\n",
      "1.7\n",
      "here\n",
      "8.25 37.0 0 None\n",
      "1.7\n",
      "here\n",
      "8.5 37.0 0 None\n",
      "1.7\n",
      "here\n",
      "8.75 37.0 0 None\n",
      "1.7\n",
      "8.875 36.0 0 36.0\n",
      "3.75\n",
      "here\n",
      "12.1 36.0 0 None\n",
      "3.75\n",
      "here\n",
      "12.425 36.0 0 None\n",
      "3.75\n",
      "10.725 42.0 1 42.0\n",
      "2.675\n",
      "here\n",
      "12.7 42.0 1 None\n",
      "2.675\n",
      "here\n",
      "12.975 42.0 1 None\n",
      "2.675\n",
      "here\n",
      "13.35 42.0 1 None\n",
      "2.675\n",
      "11.325 49.0 2 49.0\n",
      "0.725\n",
      "12.05 48.0 2 48.0\n",
      "0.975\n",
      "12.625 37.0 0 37.0\n",
      "0.725\n",
      "13.025 49.0 2 49.0\n",
      "0.725\n",
      "13.35 39.0 0 39.0\n",
      "0.625\n",
      "13.4 44.0 1 44.0\n",
      "0.625\n",
      "13.75 51.0 2 51.0\n",
      "0.625\n",
      "13.975 40.0 0 40.0\n",
      "0.05\n",
      "14.025 39.0 0 39.0\n",
      "2.45\n",
      "here\n",
      "15.525 39.0 0 None\n",
      "2.45\n",
      "here\n",
      "15.825 39.0 0 None\n",
      "2.45\n",
      "here\n",
      "16.15 39.0 0 None\n",
      "2.45\n",
      "here\n",
      "16.425 39.0 0 None\n",
      "2.45\n",
      "14.075 44.0 1 44.0\n",
      "1.1\n",
      "14.375 52.0 2 52.0\n",
      "0.05\n",
      "14.425 51.0 2 51.0\n",
      "3.65\n",
      "here\n",
      "17.2 51.0 2 None\n",
      "3.65\n",
      "here\n",
      "17.475 51.0 2 None\n",
      "3.65\n",
      "here\n",
      "17.85 51.0 2 None\n",
      "3.65\n",
      "15.175 42.0 1 42.0\n",
      "0.05\n",
      "15.225 41.0 1 41.0\n",
      "2.25\n",
      "here\n",
      "16.625 41.0 1 None\n",
      "2.25\n",
      "here\n",
      "16.9 41.0 1 None\n",
      "2.25\n",
      "here\n",
      "17.175 41.0 1 None\n",
      "2.25\n",
      "16.475 37.0 0 37.0\n",
      "0.2\n",
      "16.675 36.0 0 36.0\n",
      "3.9\n",
      "here\n",
      "20.05 36.0 0 None\n",
      "3.9\n",
      "here\n",
      "20.375 36.0 0 None\n",
      "3.9\n",
      "17.475 44.0 1 44.0\n",
      "2.6\n",
      "here\n",
      "19.125 44.0 1 None\n",
      "2.6\n",
      "here\n",
      "19.425 44.0 1 None\n",
      "2.6\n",
      "here\n",
      "19.75 44.0 1 None\n",
      "2.6\n",
      "here\n",
      "20.0 44.0 1 None\n",
      "2.6\n",
      "18.075 49.0 2 49.0\n",
      "0.2\n",
      "18.275 48.0 2 48.0\n",
      "3.9\n",
      "here\n",
      "21.175 48.0 2 None\n",
      "3.9\n",
      "here\n",
      "21.45 48.0 2 None\n",
      "3.9\n",
      "here\n",
      "21.725 48.0 2 None\n",
      "3.9\n",
      "here\n",
      "21.975 48.0 2 None\n",
      "3.9\n",
      "20.075 46.0 1 46.0\n",
      "1.8\n",
      "here\n",
      "21.325 46.0 1 None\n",
      "1.8\n",
      "here\n",
      "21.65 46.0 1 None\n",
      "1.8\n",
      "20.575 39.0 0 39.0\n",
      "2.525\n",
      "here\n",
      "22.3 39.0 0 None\n",
      "2.525\n",
      "here\n",
      "22.6 39.0 0 None\n",
      "2.525\n",
      "here\n",
      "22.925 39.0 0 None\n",
      "2.525\n",
      "21.875 44.0 1 44.0\n",
      "4.375\n",
      "here\n",
      "25.375 44.0 1 None\n",
      "4.375\n",
      "here\n",
      "25.625 44.0 1 None\n",
      "4.375\n",
      "here\n",
      "25.9 44.0 1 None\n",
      "4.375\n",
      "here\n",
      "26.225 44.0 1 None\n",
      "4.375\n",
      "22.175 51.0 2 51.0\n",
      "2.6\n",
      "here\n",
      "23.975 51.0 2 None\n",
      "2.6\n",
      "here\n",
      "24.3 51.0 2 None\n",
      "2.6\n",
      "here\n",
      "24.55 51.0 2 None\n",
      "2.6\n",
      "23.1 41.0 0 41.0\n",
      "0.45\n",
      "23.55 39.0 0 39.0\n",
      "1.6\n",
      "24.775 53.0 2 53.0\n",
      "1.65\n",
      "25.15 40.0 0 40.0\n",
      "1.525\n",
      "26.25 45.0 1 45.0\n",
      "0.4\n",
      "26.425 51.0 2 51.0\n",
      "1.6\n",
      "26.65 41.0 1 41.0\n",
      "1.325\n",
      "26.675 36.0 0 36.0\n",
      "5.3\n",
      "here\n",
      "31.125 36.0 0 None\n",
      "5.3\n",
      "here\n",
      "31.375 36.0 0 None\n",
      "5.3\n",
      "here\n",
      "31.7 36.0 0 None\n",
      "5.3\n",
      "27.975 46.0 1 46.0\n",
      "2.25\n",
      "here\n",
      "29.625 46.0 1 None\n",
      "2.25\n",
      "here\n",
      "29.95 46.0 1 None\n",
      "2.25\n",
      "28.025 52.0 2 52.0\n",
      "0.4\n",
      "28.425 48.0 2 48.0\n",
      "2.6\n",
      "here\n",
      "30.475 48.0 2 None\n",
      "2.6\n",
      "here\n",
      "30.75 48.0 2 None\n",
      "2.6\n",
      "30.225 44.0 1 44.0\n",
      "0.7\n",
      "30.925 42.0 1 42.0\n",
      "6.2\n",
      "here\n",
      "36.625 42.0 1 None\n",
      "6.2\n",
      "here\n",
      "36.95 42.0 1 None\n",
      "6.2\n",
      "31.025 53.0 2 53.0\n",
      "2.4\n",
      "here\n",
      "32.525 53.0 2 None\n",
      "2.4\n",
      "here\n",
      "32.8 53.0 2 None\n",
      "2.4\n",
      "here\n",
      "33.15 53.0 2 None\n",
      "2.4\n",
      "31.975 41.0 0 41.0\n",
      "1.8\n",
      "here\n",
      "33.225 41.0 0 None\n",
      "1.8\n",
      "here\n",
      "33.6 41.0 0 None\n",
      "1.8\n",
      "33.425 51.0 2 51.0\n",
      "0.7\n",
      "33.775 39.0 0 39.0\n",
      "0.175\n",
      "33.95 37.0 0 37.0\n",
      "1.55\n",
      "34.125 49.0 2 49.0\n",
      "6.2\n",
      "here\n",
      "39.35 49.0 2 None\n",
      "6.2\n",
      "here\n",
      "39.6 49.0 2 None\n",
      "6.2\n",
      "here\n",
      "39.9 49.0 2 None\n",
      "6.2\n",
      "here\n",
      "40.15 49.0 2 None\n",
      "6.2\n",
      "35.5 40.0 0 40.0\n",
      "0.025\n",
      "35.525 41.0 0 41.0\n",
      "0.25\n",
      "35.775 40.0 0 40.0\n",
      "1.7\n",
      "37.125 45.0 1 45.0\n",
      "0.1\n",
      "37.225 46.0 1 46.0\n",
      "0.625\n",
      "37.475 39.0 0 39.0\n",
      "2.3\n",
      "here\n",
      "38.975 39.0 0 None\n",
      "2.3\n",
      "here\n",
      "39.25 39.0 0 None\n",
      "2.3\n",
      "here\n",
      "39.5 39.0 0 None\n",
      "2.3\n",
      "37.85 45.0 1 45.0\n",
      "0.425\n",
      "38.275 44.0 1 44.0\n",
      "0.575\n",
      "38.85 45.0 1 45.0\n",
      "0.1\n",
      "38.95 44.0 1 44.0\n",
      "0.225\n",
      "39.175 42.0 1 42.0\n",
      "0.2\n",
      "39.375 41.0 1 41.0\n",
      "0.225\n",
      "39.6 39.0 1 39.0\n",
      "3.275\n",
      "here\n",
      "42.05 39.0 1 None\n",
      "3.275\n",
      "here\n",
      "42.3 39.0 1 None\n",
      "3.275\n",
      "here\n",
      "42.65 39.0 1 None\n",
      "3.275\n",
      "39.775 40.0 0 40.0\n",
      "0.4\n",
      "40.175 39.0 0 39.0\n",
      "0.9\n",
      "40.325 52.0 2 52.0\n",
      "0.1\n",
      "40.425 53.0 2 53.0\n",
      "0.625\n",
      "41.05 52.0 2 52.0\n",
      "0.425\n",
      "41.075 37.0 0 37.0\n",
      "0.8\n",
      "41.475 51.0 2 51.0\n",
      "0.575\n",
      "41.875 36.0 0 36.0\n",
      "0.9\n",
      "42.05 52.0 2 52.0\n",
      "0.1\n",
      "42.15 51.0 2 51.0\n",
      "0.225\n",
      "42.375 49.0 2 49.0\n",
      "0.2\n",
      "42.575 48.0 2 48.0\n",
      "0.225\n",
      "42.775 34.0 0 34.0\n",
      "2.3\n",
      "here\n",
      "44.225 34.0 0 None\n",
      "2.3\n",
      "here\n",
      "44.525 34.0 0 None\n",
      "2.3\n",
      "here\n",
      "44.825 34.0 0 None\n",
      "2.3\n",
      "42.8 46.0 2 46.0\n",
      "1.775\n",
      "here\n",
      "44.025 46.0 2 None\n",
      "1.775\n",
      "here\n",
      "44.35 46.0 2 None\n",
      "1.775\n",
      "42.875 44.0 1 44.0\n",
      "0.3\n",
      "43.175 45.0 1 45.0\n",
      "4.5\n",
      "here\n",
      "46.675 45.0 1 None\n",
      "4.5\n",
      "here\n",
      "47.025 45.0 1 None\n",
      "4.5\n",
      "here\n",
      "47.375 45.0 1 None\n",
      "4.5\n",
      "here\n",
      "47.625 45.0 1 None\n",
      "4.5\n",
      "44.575 51.0 2 51.0\n",
      "0.3\n",
      "44.875 52.0 2 52.0\n",
      "4.5\n",
      "here\n",
      "48.4 52.0 2 None\n",
      "4.5\n",
      "here\n",
      "48.675 52.0 2 None\n",
      "4.5\n",
      "here\n",
      "48.925 52.0 2 None\n",
      "4.5\n",
      "here\n",
      "49.175 52.0 2 None\n",
      "4.5\n",
      "45.075 39.0 0 39.0\n",
      "0.075\n",
      "45.15 40.0 0 40.0\n",
      "1.425\n",
      "here\n",
      "45.975 40.0 0 None\n",
      "1.425\n",
      "here\n",
      "46.35 40.0 0 None\n",
      "1.425\n",
      "46.575 42.0 0 42.0\n",
      "0.4\n",
      "46.975 44.0 0 44.0\n",
      "0.3\n",
      "47.275 45.0 0 45.0\n",
      "2.2\n",
      "here\n",
      "48.975 45.0 0 None\n",
      "2.2\n",
      "here\n",
      "49.275 45.0 0 None\n",
      "2.2\n",
      "47.675 47.0 1 47.0\n",
      "0.4\n",
      "48.075 49.0 1 49.0\n",
      "0.3\n",
      "48.375 50.0 1 50.0\n",
      "1.825\n",
      "49.375 54.0 2 54.0\n",
      "0.4\n",
      "49.475 41.0 0 41.0\n",
      "5.35\n",
      "here\n",
      "54.275 41.0 0 None\n",
      "5.35\n",
      "here\n",
      "54.625 41.0 0 None\n",
      "5.35\n",
      "49.775 56.0 2 56.0\n",
      "0.3\n",
      "50.075 57.0 2 57.0\n",
      "2.2\n",
      "here\n",
      "51.375 57.0 2 None\n",
      "2.2\n",
      "here\n",
      "51.675 57.0 2 None\n",
      "2.2\n",
      "here\n",
      "52.025 57.0 2 None\n",
      "2.2\n",
      "50.2 46.0 1 46.0\n",
      "1.525\n",
      "51.725 50.0 1 50.0\n",
      "0.35\n",
      "52.075 48.0 1 48.0\n",
      "0.025\n",
      "52.1 47.0 1 47.0\n",
      "0.15\n",
      "52.25 44.0 1 44.0\n",
      "7.275\n",
      "here\n",
      "58.9 44.0 1 None\n",
      "7.275\n",
      "here\n",
      "59.225 44.0 1 None\n",
      "7.275\n",
      "52.275 53.0 2 53.0\n",
      "4.075\n",
      "here\n",
      "55.825 53.0 2 None\n",
      "4.075\n",
      "here\n",
      "56.125 53.0 2 None\n",
      "4.075\n",
      "54.825 45.0 0 45.0\n",
      "0.35\n",
      "55.175 43.0 0 43.0\n",
      "0.025\n",
      "55.2 42.0 0 42.0\n",
      "0.15\n",
      "55.35 39.0 0 39.0\n",
      "4.125\n",
      "here\n",
      "58.6 39.0 0 None\n",
      "4.125\n",
      "here\n",
      "58.95 39.0 0 None\n",
      "4.125\n",
      "here\n",
      "59.25 39.0 0 None\n",
      "4.125\n",
      "56.35 57.0 2 57.0\n",
      "0.35\n",
      "56.7 55.0 2 55.0\n",
      "0.025\n",
      "56.725 54.0 2 54.0\n",
      "0.15\n",
      "56.875 51.0 2 51.0\n",
      "2.85\n",
      "here\n",
      "58.775 51.0 2 None\n",
      "2.85\n",
      "here\n",
      "59.05 51.0 2 None\n",
      "2.85\n",
      "here\n",
      "59.3 51.0 2 None\n",
      "2.85\n",
      "here\n",
      "59.6 51.0 2 None\n",
      "2.85\n",
      "59.475 41.0 0 41.0\n",
      "2.2\n",
      "here\n",
      "60.775 41.0 0 None\n",
      "2.2\n",
      "here\n",
      "61.15 41.0 0 None\n",
      "2.2\n",
      "here\n",
      "61.5 41.0 0 None\n",
      "2.2\n",
      "59.525 46.0 1 46.0\n",
      "2.2\n",
      "here\n",
      "60.925 46.0 1 None\n",
      "2.2\n",
      "here\n",
      "61.175 46.0 1 None\n",
      "2.2\n",
      "here\n",
      "61.55 46.0 1 None\n",
      "2.2\n",
      "59.725 53.0 2 53.0\n",
      "2.2\n",
      "here\n",
      "61.425 53.0 2 None\n",
      "2.2\n",
      "here\n",
      "61.725 53.0 2 None\n",
      "2.2\n",
      "61.675 39.0 0 39.0\n",
      "4.425\n",
      "here\n",
      "65.2 39.0 0 None\n",
      "4.425\n",
      "here\n",
      "65.575 39.0 0 None\n",
      "4.425\n",
      "here\n",
      "65.925 39.0 0 None\n",
      "4.425\n",
      "61.725 44.0 1 44.0\n",
      "2.325\n",
      "here\n",
      "63.45 44.0 1 None\n",
      "2.325\n",
      "here\n",
      "63.7 44.0 1 None\n",
      "2.325\n",
      "61.925 51.0 2 51.0\n",
      "7.5\n",
      "here\n",
      "68.85 51.0 2 None\n",
      "7.5\n",
      "here\n",
      "69.1 51.0 2 None\n",
      "7.5\n",
      "here\n",
      "69.4 51.0 2 None\n",
      "7.5\n",
      "64.05 42.0 1 42.0\n",
      "0.45\n",
      "64.5 41.0 1 41.0\n",
      "2.075\n",
      "here\n",
      "65.9 41.0 1 None\n",
      "2.075\n",
      "here\n",
      "66.2 41.0 1 None\n",
      "2.075\n",
      "here\n",
      "66.5 41.0 1 None\n",
      "2.075\n",
      "66.1 37.0 0 37.0\n",
      "0.45\n",
      "66.55 36.0 0 36.0\n",
      "1.025\n",
      "here\n",
      "67.075 36.0 0 None\n",
      "1.025\n",
      "here\n",
      "67.325 36.0 0 None\n",
      "1.025\n",
      "66.575 42.0 1 42.0\n",
      "1.1\n",
      "67.575 37.0 0 37.0\n",
      "1.1\n",
      "67.675 44.0 1 44.0\n",
      "5.2\n",
      "here\n",
      "71.95 44.0 1 None\n",
      "5.2\n",
      "here\n",
      "72.25 44.0 1 None\n",
      "5.2\n",
      "here\n",
      "72.5 44.0 1 None\n",
      "5.2\n",
      "here\n",
      "72.775 44.0 1 None\n",
      "5.2\n",
      "68.675 39.0 0 39.0\n",
      "5.2\n",
      "here\n",
      "73.175 39.0 0 None\n",
      "5.2\n",
      "here\n",
      "73.475 39.0 0 None\n",
      "5.2\n",
      "here\n",
      "73.825 39.0 0 None\n",
      "5.2\n",
      "69.425 49.0 2 49.0\n",
      "1.125\n",
      "70.55 48.0 2 48.0\n",
      "0.725\n",
      "71.275 49.0 2 49.0\n",
      "0.275\n",
      "71.55 51.0 2 51.0\n",
      "1.3\n",
      "72.85 50.0 2 50.0\n",
      "0.1\n",
      "72.875 43.0 1 43.0\n",
      "0.4\n",
      "72.95 52.0 2 52.0\n",
      "0.05\n",
      "73.0 53.0 2 53.0\n",
      "1.475\n",
      "here\n",
      "73.925 53.0 2 None\n",
      "1.475\n",
      "here\n",
      "74.175 53.0 2 None\n",
      "1.475\n",
      "73.275 45.0 1 45.0\n",
      "0.2\n",
      "73.475 46.0 1 46.0\n",
      "1.4\n",
      "73.875 38.0 0 38.0\n",
      "0.4\n",
      "74.275 40.0 0 40.0\n",
      "0.2\n",
      "74.475 41.0 0 41.0\n",
      "1.4\n",
      "74.875 44.0 1 44.0\n",
      "0.275\n",
      "75.15 48.0 1 48.0\n",
      "0.1\n",
      "75.25 50.0 1 50.0\n",
      "0.2\n",
      "75.45 49.0 1 49.0\n",
      "0.975\n",
      "75.575 55.0 2 55.0\n",
      "0.4\n",
      "75.875 39.0 0 39.0\n",
      "0.275\n",
      "75.975 57.0 2 57.0\n",
      "0.8\n",
      "76.15 43.0 0 43.0\n",
      "0.1\n",
      "76.25 45.0 0 45.0\n",
      "0.2\n",
      "76.425 50.0 1 50.0\n",
      "0.25\n",
      "76.45 44.0 0 44.0\n",
      "0.975\n",
      "76.675 49.0 1 49.0\n",
      "0.25\n",
      "76.775 56.0 2 56.0\n",
      "3.9\n",
      "here\n",
      "80.075 56.0 2 None\n",
      "3.9\n",
      "here\n",
      "80.325 56.0 2 None\n",
      "3.9\n",
      "76.925 46.0 1 46.0\n",
      "1.4\n",
      "here\n",
      "77.7 46.0 1 None\n",
      "1.4\n",
      "here\n",
      "78.075 46.0 1 None\n",
      "1.4\n",
      "77.425 45.0 0 45.0\n",
      "0.25\n",
      "77.675 44.0 0 44.0\n",
      "1.0\n",
      "78.325 44.0 1 44.0\n",
      "8.725\n",
      "here\n",
      "86.425 44.0 1 None\n",
      "8.725\n",
      "here\n",
      "86.725 44.0 1 None\n",
      "8.725\n",
      "here\n",
      "86.975 44.0 1 None\n",
      "8.725\n",
      "78.675 41.0 0 41.0\n",
      "1.7\n",
      "here\n",
      "79.625 41.0 0 None\n",
      "1.7\n",
      "here\n",
      "80.0 41.0 0 None\n",
      "1.7\n",
      "here\n",
      "80.275 41.0 0 None\n",
      "1.7\n",
      "80.375 39.0 0 39.0\n",
      "6.625\n",
      "here\n",
      "86.425 39.0 0 None\n",
      "6.625\n",
      "here\n",
      "86.675 39.0 0 None\n",
      "6.625\n",
      "here\n",
      "86.925 39.0 0 None\n",
      "6.625\n",
      "80.675 57.0 2 57.0\n",
      "1.0\n",
      "81.675 56.0 2 56.0\n",
      "1.0\n",
      "82.675 53.0 2 53.0\n",
      "1.7\n",
      "here\n",
      "83.6 53.0 2 None\n",
      "1.7\n",
      "here\n",
      "83.925 53.0 2 None\n",
      "1.7\n",
      "here\n",
      "84.175 53.0 2 None\n",
      "1.7\n",
      "84.375 51.0 2 51.0\n",
      "2.875\n",
      "here\n",
      "86.675 51.0 2 None\n",
      "2.875\n",
      "here\n",
      "87.0 51.0 2 None\n",
      "2.875\n",
      "87.0 41.0 0 41.0\n",
      "0.45\n",
      "87.05 46.0 1 46.0\n",
      "0.45\n",
      "87.25 53.0 2 53.0\n",
      "0.45\n",
      "87.45 39.0 0 39.0\n",
      "5.825\n",
      "here\n",
      "92.55 39.0 0 None\n",
      "5.825\n",
      "here\n",
      "92.875 39.0 0 None\n",
      "5.825\n",
      "here\n",
      "93.15 39.0 0 None\n",
      "5.825\n",
      "87.5 44.0 1 44.0\n",
      "2.675\n",
      "here\n",
      "89.45 44.0 1 None\n",
      "2.675\n",
      "here\n",
      "89.775 44.0 1 None\n",
      "2.675\n",
      "here\n",
      "90.025 44.0 1 None\n",
      "2.675\n",
      "87.7 51.0 2 51.0\n",
      "7.1\n",
      "here\n",
      "94.3 51.0 2 None\n",
      "7.1\n",
      "here\n",
      "94.55 51.0 2 None\n",
      "7.1\n",
      "90.175 41.0 1 41.0\n",
      "1.5\n",
      "91.675 42.0 1 42.0\n",
      "2.9\n",
      "here\n",
      "93.8 42.0 1 None\n",
      "2.9\n",
      "here\n",
      "94.1 42.0 1 None\n",
      "2.9\n",
      "here\n",
      "94.35 42.0 1 None\n",
      "2.9\n",
      "93.275 36.0 0 36.0\n",
      "1.5\n",
      "here\n",
      "94.275 36.0 0 None\n",
      "1.5\n",
      "here\n",
      "94.65 36.0 0 None\n",
      "1.5\n",
      "94.575 39.0 1 39.0\n",
      "0.8\n",
      "94.775 37.0 0 37.0\n",
      "2.075\n",
      "here\n",
      "95.975 37.0 0 None\n",
      "2.075\n",
      "here\n",
      "96.3 37.0 0 None\n",
      "2.075\n",
      "here\n",
      "96.625 37.0 0 None\n",
      "2.075\n",
      "94.8 48.0 2 48.0\n",
      "1.5\n",
      "95.375 46.0 1 46.0\n",
      "0.3\n",
      "95.675 47.0 1 47.0\n",
      "2.1\n",
      "here\n",
      "96.95 47.0 1 None\n",
      "2.1\n",
      "here\n",
      "97.225 47.0 1 None\n",
      "2.1\n",
      "here\n",
      "97.525 47.0 1 None\n",
      "2.1\n",
      "96.3 49.0 2 49.0\n",
      "2.9\n",
      "here\n",
      "98.25 49.0 2 None\n",
      "2.9\n",
      "here\n",
      "98.6 49.0 2 None\n",
      "2.9\n",
      "here\n",
      "98.85 49.0 2 None\n",
      "2.9\n",
      "here\n",
      "99.125 49.0 2 None\n",
      "2.9\n",
      "96.85 34.0 0 34.0\n",
      "0.2\n",
      "97.05 41.0 0 41.0\n",
      "0.075\n",
      "97.125 42.0 0 42.0\n",
      "0.525\n",
      "97.65 37.0 0 37.0\n",
      "4.125\n",
      "here\n",
      "101.225 37.0 0 None\n",
      "4.125\n",
      "here\n",
      "101.575 37.0 0 None\n",
      "4.125\n",
      "97.775 42.0 1 42.0\n",
      "2.775\n",
      "here\n",
      "99.8 42.0 1 None\n",
      "2.775\n",
      "here\n",
      "100.175 42.0 1 None\n",
      "2.775\n",
      "here\n",
      "100.45 42.0 1 None\n",
      "2.775\n",
      "99.2 46.0 2 46.0\n",
      "0.65\n",
      "99.85 53.0 2 53.0\n",
      "0.075\n",
      "99.925 54.0 2 54.0\n",
      "0.525\n",
      "100.45 49.0 2 49.0\n",
      "1.8\n",
      "here\n",
      "101.6 49.0 2 None\n",
      "1.8\n",
      "here\n",
      "101.95 49.0 2 None\n",
      "1.8\n",
      "here\n",
      "102.225 49.0 2 None\n",
      "1.8\n",
      "100.55 44.0 1 44.0\n",
      "0.9\n",
      "101.45 41.0 1 41.0\n",
      "3.975\n",
      "here\n",
      "104.525 41.0 1 None\n",
      "3.975\n",
      "here\n",
      "104.775 41.0 1 None\n",
      "3.975\n",
      "here\n",
      "105.1 41.0 1 None\n",
      "3.975\n",
      "101.775 39.0 0 39.0\n",
      "3.6\n",
      "here\n",
      "104.45 39.0 0 None\n",
      "3.6\n",
      "here\n",
      "104.8 39.0 0 None\n",
      "3.6\n",
      "here\n",
      "105.15 39.0 0 None\n",
      "3.6\n",
      "102.25 51.0 2 51.0\n",
      "2.175\n",
      "here\n",
      "103.75 51.0 2 None\n",
      "2.175\n",
      "here\n",
      "104.05 51.0 2 None\n",
      "2.175\n",
      "104.425 48.0 2 48.0\n",
      "4.2\n",
      "here\n",
      "107.85 48.0 2 None\n",
      "4.2\n",
      "here\n",
      "108.15 48.0 2 None\n",
      "4.2\n",
      "here\n",
      "108.525 48.0 2 None\n",
      "4.2\n",
      "105.375 36.0 0 36.0\n",
      "2.325\n",
      "here\n",
      "106.8 36.0 0 None\n",
      "2.325\n",
      "here\n",
      "107.175 36.0 0 None\n",
      "2.325\n",
      "here\n",
      "107.5 36.0 0 None\n",
      "2.325\n",
      "105.425 44.0 1 44.0\n",
      "0.5\n",
      "105.925 45.0 1 45.0\n",
      "0.6\n",
      "106.525 44.0 1 44.0\n",
      "1.8\n",
      "here\n",
      "107.475 44.0 1 None\n",
      "1.8\n",
      "here\n",
      "107.85 44.0 1 None\n",
      "1.8\n",
      "here\n",
      "108.1 44.0 1 None\n",
      "1.8\n",
      "107.7 39.0 0 39.0\n",
      "0.125\n",
      "107.825 40.0 0 40.0\n",
      "0.15\n",
      "107.975 39.0 0 39.0\n",
      "0.45\n",
      "108.325 46.0 1 46.0\n",
      "1.2\n",
      "108.425 41.0 0 41.0\n",
      "0.3\n",
      "108.625 51.0 2 51.0\n",
      "0.5\n",
      "108.725 40.0 0 40.0\n",
      "0.45\n",
      "109.125 52.0 2 52.0\n",
      "0.6\n",
      "109.175 39.0 0 39.0\n",
      "2.8\n",
      "here\n",
      "111.425 39.0 0 None\n",
      "2.8\n",
      "here\n",
      "111.725 39.0 0 None\n",
      "2.8\n",
      "109.525 45.0 1 45.0\n",
      "1.8\n",
      "here\n",
      "110.7 45.0 1 None\n",
      "1.8\n",
      "here\n",
      "111.0 45.0 1 None\n",
      "1.8\n",
      "109.725 51.0 2 51.0\n",
      "1.8\n",
      "here\n",
      "110.925 51.0 2 None\n",
      "1.8\n",
      "here\n",
      "111.175 51.0 2 None\n",
      "1.8\n",
      "111.325 44.0 1 44.0\n",
      "0.7\n",
      "111.525 53.0 2 53.0\n",
      "1.2\n",
      "here\n",
      "112.225 53.0 2 None\n",
      "1.2\n",
      "here\n",
      "112.5 53.0 2 None\n",
      "1.2\n",
      "111.975 37.0 0 37.0\n",
      "0.8\n",
      "112.025 42.0 1 42.0\n",
      "0.2\n",
      "112.225 43.0 1 43.0\n",
      "0.9\n",
      "112.725 52.0 2 52.0\n",
      "1.8\n",
      "here\n",
      "113.675 52.0 2 None\n",
      "1.8\n",
      "here\n",
      "114.05 52.0 2 None\n",
      "1.8\n",
      "here\n",
      "114.35 52.0 2 None\n",
      "1.8\n",
      "112.775 38.0 0 38.0\n",
      "3.6\n",
      "here\n",
      "115.6 38.0 0 None\n",
      "3.6\n",
      "here\n",
      "115.85 38.0 0 None\n",
      "3.6\n",
      "here\n",
      "116.175 38.0 0 None\n",
      "3.6\n",
      "113.125 45.0 1 45.0\n",
      "0.475\n",
      "113.6 44.0 1 44.0\n",
      "7.175\n",
      "here\n",
      "119.8 44.0 1 None\n",
      "7.175\n",
      "here\n",
      "120.175 44.0 1 None\n",
      "7.175\n",
      "here\n",
      "120.475 44.0 1 None\n",
      "7.175\n",
      "114.525 51.0 2 51.0\n",
      "0.7\n",
      "115.225 49.0 2 49.0\n",
      "0.2\n",
      "115.425 50.0 2 50.0\n",
      "0.9\n",
      "116.325 52.0 2 52.0\n",
      "0.475\n",
      "116.375 40.0 0 40.0\n",
      "1.375\n",
      "116.8 51.0 2 51.0\n",
      "5.75\n",
      "here\n",
      "121.8 51.0 2 None\n",
      "5.75\n",
      "here\n",
      "122.175 51.0 2 None\n",
      "5.75\n",
      "here\n",
      "122.45 51.0 2 None\n",
      "5.75\n",
      "117.75 39.0 0 39.0\n",
      "1.925\n",
      "here\n",
      "119.025 39.0 0 None\n",
      "1.925\n",
      "here\n",
      "119.35 39.0 0 None\n",
      "1.925\n",
      "119.675 40.0 0 40.0\n",
      "0.8\n",
      "120.475 41.0 0 41.0\n",
      "1.7\n",
      "here\n",
      "121.675 41.0 0 None\n",
      "1.7\n",
      "here\n",
      "122.025 41.0 0 None\n",
      "1.7\n",
      "120.775 45.0 1 45.0\n",
      "0.8\n",
      "121.575 46.0 1 46.0\n",
      "1.7\n",
      "here\n",
      "122.725 46.0 1 None\n",
      "1.7\n",
      "here\n",
      "123.0 46.0 1 None\n",
      "1.7\n",
      "122.175 37.0 0 37.0\n",
      "6.0\n",
      "here\n",
      "127.4 37.0 0 None\n",
      "6.0\n",
      "here\n",
      "127.775 37.0 0 None\n",
      "6.0\n",
      "here\n",
      "128.1 37.0 0 None\n",
      "6.0\n",
      "122.55 52.0 2 52.0\n",
      "0.8\n",
      "123.275 42.0 1 42.0\n",
      "1.8\n",
      "here\n",
      "124.2 42.0 1 None\n",
      "1.8\n",
      "here\n",
      "124.575 42.0 1 None\n",
      "1.8\n",
      "here\n",
      "124.825 42.0 1 None\n",
      "1.8\n",
      "123.35 53.0 2 53.0\n",
      "1.7\n",
      "here\n",
      "124.25 53.0 2 None\n",
      "1.7\n",
      "here\n",
      "124.575 53.0 2 None\n",
      "1.7\n",
      "here\n",
      "124.825 53.0 2 None\n",
      "1.7\n",
      "125.05 49.0 2 49.0\n",
      "4.725\n",
      "here\n",
      "129.175 49.0 2 None\n",
      "4.725\n",
      "here\n",
      "129.5 49.0 2 None\n",
      "4.725\n",
      "here\n",
      "129.75 49.0 2 None\n",
      "4.725\n",
      "125.075 49.0 1 49.0\n",
      "0.75\n",
      "125.825 47.0 1 47.0\n",
      "0.9\n",
      "126.725 46.0 1 46.0\n",
      "0.8\n",
      "127.525 44.0 1 44.0\n",
      "1.3\n",
      "128.175 44.0 0 44.0\n",
      "0.75\n",
      "128.825 46.0 1 46.0\n",
      "1.0\n",
      "128.925 42.0 0 42.0\n",
      "0.375\n",
      "129.3 41.0 0 41.0\n",
      "0.2\n",
      "129.5 39.0 0 39.0\n",
      "0.325\n",
      "129.775 56.0 2 56.0\n",
      "0.75\n",
      "129.825 41.0 0 41.0\n",
      "0.25\n",
      "130.075 39.0 0 39.0\n",
      "7.3\n",
      "here\n",
      "136.525 39.0 0 None\n",
      "7.3\n",
      "here\n",
      "136.8 39.0 0 None\n",
      "7.3\n",
      "here\n",
      "137.075 39.0 0 None\n",
      "7.3\n",
      "130.525 54.0 2 54.0\n",
      "0.375\n",
      "130.9 53.0 2 53.0\n",
      "0.2\n",
      "131.1 51.0 2 51.0\n",
      "0.325\n",
      "131.425 53.0 2 53.0\n",
      "0.25\n",
      "131.675 51.0 2 51.0\n",
      "6.1\n",
      "here\n",
      "137.15 51.0 2 None\n",
      "6.1\n",
      "here\n",
      "137.425 51.0 2 None\n",
      "6.1\n",
      "136.225 42.0 1 42.0\n",
      "0.575\n",
      "136.8 41.0 1 41.0\n",
      "0.325\n",
      "137.125 42.0 1 42.0\n",
      "0.175\n",
      "137.3 44.0 1 44.0\n",
      "5.675\n",
      "here\n",
      "141.975 44.0 1 None\n",
      "5.675\n",
      "here\n",
      "142.25 44.0 1 None\n",
      "5.675\n",
      "here\n",
      "142.55 44.0 1 None\n",
      "5.675\n",
      "here\n",
      "142.9 44.0 1 None\n",
      "5.675\n",
      "137.375 37.0 0 37.0\n",
      "1.475\n",
      "here\n",
      "138.2 37.0 0 None\n",
      "1.475\n",
      "here\n",
      "138.525 37.0 0 None\n",
      "1.475\n",
      "137.775 49.0 2 49.0\n",
      "2.3\n",
      "here\n",
      "139.2 49.0 2 None\n",
      "2.3\n",
      "here\n",
      "139.575 49.0 2 None\n",
      "2.3\n",
      "here\n",
      "139.925 49.0 2 None\n",
      "2.3\n",
      "138.85 36.0 0 36.0\n",
      "0.325\n",
      "139.175 37.0 0 37.0\n",
      "0.175\n",
      "139.35 39.0 0 39.0\n",
      "4.625\n",
      "here\n",
      "143.075 39.0 0 None\n",
      "4.625\n",
      "here\n",
      "143.35 39.0 0 None\n",
      "4.625\n",
      "here\n",
      "143.7 39.0 0 None\n",
      "4.625\n",
      "140.075 48.0 2 48.0\n",
      "1.3\n",
      "141.375 49.0 2 49.0\n",
      "0.7\n",
      "142.075 51.0 2 51.0\n",
      "3.575\n",
      "here\n",
      "144.7 51.0 2 None\n",
      "3.575\n",
      "here\n",
      "144.95 51.0 2 None\n",
      "3.575\n",
      "here\n",
      "145.25 51.0 2 None\n",
      "3.575\n",
      "here\n",
      "145.575 51.0 2 None\n",
      "3.575\n",
      "142.975 45.0 1 45.0\n",
      "0.6\n",
      "143.575 46.0 1 46.0\n",
      "1.0\n",
      "143.975 40.0 0 40.0\n",
      "0.6\n",
      "144.575 41.0 0 41.0\n",
      "1.0\n",
      "144.775 44.0 1 44.0\n",
      "1.8\n",
      "here\n",
      "145.875 44.0 1 None\n",
      "1.8\n",
      "here\n",
      "146.125 44.0 1 None\n",
      "1.8\n",
      "here\n",
      "146.45 44.0 1 None\n",
      "1.8\n",
      "145.575 40.0 0 40.0\n",
      "0.2\n",
      "145.65 52.0 2 52.0\n",
      "0.15\n",
      "145.775 39.0 0 39.0\n",
      "1.125\n",
      "145.8 53.0 2 53.0\n",
      "0.25\n",
      "146.05 52.0 2 52.0\n",
      "0.05\n",
      "146.1 51.0 2 51.0\n",
      "0.45\n",
      "146.55 52.0 2 52.0\n",
      "0.35\n",
      "146.575 45.0 1 45.0\n",
      "0.325\n",
      "---\n",
      "(0.0, 51.0, 2, 51.0)\n",
      "(2.125, 51.0, 2, 0.0)\n",
      "---\n",
      "(2.125, 46.0, 1, 46.0)\n",
      "(0.3, 46.0, 1, -500.0)\n",
      "---\n",
      "(2.425, 44.0, 1, 44.0)\n",
      "(0.7, 44.0, 1, -200.0)\n",
      "---\n",
      "(3.125, 41.0, 0, 41.0)\n",
      "(0.05, 41.0, 0, -300.0)\n",
      "---\n",
      "(3.175, 51.0, 2, None)\n",
      "(0.25, 51.0, 2, None)\n",
      "---\n",
      "(3.425, 39.0, 0, 39.0)\n",
      "(0.075, 39.0, 0, -200.0)\n",
      "---\n",
      "(3.5, 51.0, 2, None)\n",
      "(0.375, 51.0, 2, None)\n",
      "---\n",
      "(3.875, 51.0, 2, None)\n",
      "(0.25, 51.0, 2, None)\n",
      "---\n",
      "(4.125, 53.0, 2, 53.0)\n",
      "(0.45, 53.0, 2, 1400.0)\n",
      "---\n",
      "(4.575, 44.0, 1, None)\n",
      "(0.325, 44.0, 1, None)\n",
      "---\n",
      "(4.9, 44.0, 1, None)\n",
      "(0.225, 44.0, 1, None)\n",
      "---\n",
      "(5.125, 42.0, 1, 42.0)\n",
      "(0.2, 42.0, 1, -1100.0)\n",
      "---\n",
      "(5.325, 51.0, 2, 51.0)\n",
      "(0.75, 51.0, 2, 900.0)\n",
      "---\n",
      "(6.075, 42.0, 1, None)\n",
      "(0.325, 42.0, 1, None)\n",
      "---\n",
      "(6.4, 39.0, 0, None)\n",
      "(0.05, 39.0, 0, None)\n",
      "---\n",
      "(6.45, 42.0, 1, None)\n",
      "(0.25, 42.0, 1, None)\n",
      "---\n",
      "(6.7, 42.0, 1, None)\n",
      "(0.075, 42.0, 1, None)\n",
      "---\n",
      "(6.775, 39.0, 0, None)\n",
      "(0.05, 39.0, 0, None)\n",
      "---\n",
      "(6.825, 41.0, 1, 41.0)\n",
      "(0.25, 41.0, 1, -1000.0)\n",
      "---\n",
      "(7.075, 39.0, 0, None)\n",
      "(0.1, 39.0, 0, None)\n",
      "---\n",
      "(7.175, 37.0, 0, 37.0)\n",
      "(1.075, 37.0, 0, -400.0)\n",
      "---\n",
      "(8.25, 37.0, 0, None)\n",
      "(0.25, 37.0, 0, None)\n",
      "---\n",
      "(8.5, 37.0, 0, None)\n",
      "(0.25, 37.0, 0, None)\n",
      "---\n",
      "(8.75, 37.0, 0, None)\n",
      "(0.125, 37.0, 0, None)\n",
      "---\n",
      "(8.875, 36.0, 0, 36.0)\n",
      "(1.1, 36.0, 0, -100.0)\n",
      "---\n",
      "(9.975, 41.0, 1, None)\n",
      "(0.3, 41.0, 1, None)\n",
      "---\n",
      "(10.275, 41.0, 1, None)\n",
      "(0.25, 41.0, 1, None)\n",
      "---\n",
      "(10.525, 41.0, 1, None)\n",
      "(0.2, 41.0, 1, None)\n",
      "---\n",
      "(10.725, 42.0, 1, 42.0)\n",
      "(0.075, 42.0, 1, 600.0)\n",
      "---\n",
      "(10.8, 51.0, 2, None)\n",
      "(0.375, 51.0, 2, None)\n",
      "---\n",
      "(11.175, 51.0, 2, None)\n",
      "(0.15, 51.0, 2, None)\n",
      "---\n",
      "(11.325, 49.0, 2, 49.0)\n",
      "(0.725, 49.0, 2, 700.0)\n",
      "---\n",
      "(12.05, 48.0, 2, 48.0)\n",
      "(0.05, 48.0, 2, -100.0)\n",
      "---\n",
      "(12.1, 36.0, 0, None)\n",
      "(0.325, 36.0, 0, None)\n",
      "---\n",
      "(12.425, 36.0, 0, None)\n",
      "(0.2, 36.0, 0, None)\n",
      "---\n",
      "(12.625, 37.0, 0, 37.0)\n",
      "(0.075, 37.0, 0, -1100.0)\n",
      "---\n",
      "(12.7, 42.0, 1, None)\n",
      "(0.275, 42.0, 1, None)\n",
      "---\n",
      "(12.975, 42.0, 1, None)\n",
      "(0.05, 42.0, 1, None)\n",
      "---\n",
      "(13.025, 49.0, 2, 49.0)\n",
      "(0.325, 49.0, 2, 1200.0)\n",
      "---\n",
      "(13.35, 39.0, 0, 39.0)\n",
      "(0.0, 39.0, 0, -1000.0)\n",
      "---\n",
      "(13.35, 42.0, 1, None)\n",
      "(0.05, 42.0, 1, None)\n",
      "---\n",
      "(13.4, 44.0, 1, 44.0)\n",
      "(0.35, 44.0, 1, 500.0)\n",
      "---\n",
      "(13.75, 51.0, 2, 51.0)\n",
      "(0.225, 51.0, 2, 700.0)\n",
      "---\n",
      "(13.975, 40.0, 0, 40.0)\n",
      "(0.05, 40.0, 0, -1100.0)\n",
      "---\n",
      "(14.025, 39.0, 0, 39.0)\n",
      "(0.05, 39.0, 0, -100.0)\n",
      "---\n",
      "(14.075, 44.0, 1, 44.0)\n",
      "(0.3, 44.0, 1, 500.0)\n",
      "---\n",
      "(14.375, 52.0, 2, 52.0)\n",
      "(0.05, 52.0, 2, 800.0)\n",
      "---\n",
      "(14.425, 51.0, 2, 51.0)\n",
      "(0.75, 51.0, 2, -100.0)\n",
      "---\n",
      "(15.175, 42.0, 1, 42.0)\n",
      "(0.05, 42.0, 1, -900.0)\n",
      "---\n",
      "(15.225, 41.0, 1, 41.0)\n",
      "(0.3, 41.0, 1, -100.0)\n",
      "---\n",
      "(15.525, 39.0, 0, None)\n",
      "(0.3, 39.0, 0, None)\n",
      "---\n",
      "(15.825, 39.0, 0, None)\n",
      "(0.325, 39.0, 0, None)\n",
      "---\n",
      "(16.15, 39.0, 0, None)\n",
      "(0.275, 39.0, 0, None)\n",
      "---\n",
      "(16.425, 39.0, 0, None)\n",
      "(0.05, 39.0, 0, None)\n",
      "---\n",
      "(16.475, 37.0, 0, 37.0)\n",
      "(0.15, 37.0, 0, -400.0)\n",
      "---\n",
      "(16.625, 41.0, 1, None)\n",
      "(0.05, 41.0, 1, None)\n",
      "---\n",
      "(16.675, 36.0, 0, 36.0)\n",
      "(0.225, 36.0, 0, -100.0)\n",
      "---\n",
      "(16.9, 41.0, 1, None)\n",
      "(0.275, 41.0, 1, None)\n",
      "---\n",
      "(17.175, 41.0, 1, None)\n",
      "(0.025, 41.0, 1, None)\n",
      "---\n",
      "(17.2, 51.0, 2, None)\n",
      "(0.275, 51.0, 2, None)\n",
      "---\n",
      "(17.475, 44.0, 1, 44.0)\n",
      "(0.0, 44.0, 1, 800.0)\n",
      "---\n",
      "(17.475, 51.0, 2, None)\n",
      "(0.375, 51.0, 2, None)\n",
      "---\n",
      "(17.85, 51.0, 2, None)\n",
      "(0.225, 51.0, 2, None)\n",
      "---\n",
      "(18.075, 49.0, 2, 49.0)\n",
      "(0.2, 49.0, 2, 500.0)\n",
      "---\n",
      "(18.275, 48.0, 2, 48.0)\n",
      "(0.85, 48.0, 2, -100.0)\n",
      "---\n",
      "(19.125, 44.0, 1, None)\n",
      "(0.3, 44.0, 1, None)\n",
      "---\n",
      "(19.425, 44.0, 1, None)\n",
      "(0.325, 44.0, 1, None)\n",
      "---\n",
      "(19.75, 44.0, 1, None)\n",
      "(0.25, 44.0, 1, None)\n",
      "---\n",
      "(20.0, 44.0, 1, None)\n",
      "(0.05, 44.0, 1, None)\n",
      "---\n",
      "(20.05, 36.0, 0, None)\n",
      "(0.025, 36.0, 0, None)\n",
      "---\n",
      "(20.075, 46.0, 1, 46.0)\n",
      "(0.3, 46.0, 1, -200.0)\n",
      "---\n",
      "(20.375, 36.0, 0, None)\n",
      "(0.2, 36.0, 0, None)\n",
      "---\n",
      "(20.575, 39.0, 0, 39.0)\n",
      "(0.6, 39.0, 0, -700.0)\n",
      "---\n",
      "(21.175, 48.0, 2, None)\n",
      "(0.15, 48.0, 2, None)\n",
      "---\n",
      "(21.325, 46.0, 1, None)\n",
      "(0.125, 46.0, 1, None)\n",
      "---\n",
      "(21.45, 48.0, 2, None)\n",
      "(0.2, 48.0, 2, None)\n",
      "---\n",
      "(21.65, 46.0, 1, None)\n",
      "(0.075, 46.0, 1, None)\n",
      "---\n",
      "(21.725, 48.0, 2, None)\n",
      "(0.15, 48.0, 2, None)\n",
      "---\n",
      "(21.875, 44.0, 1, 44.0)\n",
      "(0.1, 44.0, 1, 500.0)\n",
      "---\n",
      "(21.975, 48.0, 2, None)\n",
      "(0.2, 48.0, 2, None)\n",
      "---\n",
      "(22.175, 51.0, 2, 51.0)\n",
      "(0.125, 51.0, 2, 700.0)\n",
      "---\n",
      "(22.3, 39.0, 0, None)\n",
      "(0.3, 39.0, 0, None)\n",
      "---\n",
      "(22.6, 39.0, 0, None)\n",
      "(0.325, 39.0, 0, None)\n",
      "---\n",
      "(22.925, 39.0, 0, None)\n",
      "(0.175, 39.0, 0, None)\n",
      "---\n",
      "(23.1, 41.0, 0, 41.0)\n",
      "(0.45, 41.0, 0, -1000.0)\n",
      "---\n",
      "(23.55, 39.0, 0, 39.0)\n",
      "(0.425, 39.0, 0, -200.0)\n",
      "---\n",
      "(23.975, 51.0, 2, None)\n",
      "(0.325, 51.0, 2, None)\n",
      "---\n",
      "(24.3, 51.0, 2, None)\n",
      "(0.25, 51.0, 2, None)\n",
      "---\n",
      "(24.55, 51.0, 2, None)\n",
      "(0.225, 51.0, 2, None)\n",
      "---\n",
      "(24.775, 53.0, 2, 53.0)\n",
      "(0.375, 53.0, 2, 1400.0)\n",
      "---\n",
      "(25.15, 40.0, 0, 40.0)\n",
      "(0.225, 40.0, 0, -1300.0)\n",
      "---\n",
      "(25.375, 44.0, 1, None)\n",
      "(0.25, 44.0, 1, None)\n",
      "---\n",
      "(25.625, 44.0, 1, None)\n",
      "(0.275, 44.0, 1, None)\n",
      "---\n",
      "(25.9, 44.0, 1, None)\n",
      "(0.325, 44.0, 1, None)\n",
      "---\n",
      "(26.225, 44.0, 1, None)\n",
      "(0.025, 44.0, 1, None)\n",
      "---\n",
      "(26.25, 45.0, 1, 45.0)\n",
      "(0.175, 45.0, 1, 500.0)\n",
      "---\n",
      "(26.425, 51.0, 2, 51.0)\n",
      "(0.225, 51.0, 2, 600.0)\n",
      "---\n",
      "(26.65, 41.0, 1, 41.0)\n",
      "(0.025, 41.0, 1, -1000.0)\n",
      "---\n",
      "(26.675, 36.0, 0, 36.0)\n",
      "(1.3, 36.0, 0, -500.0)\n",
      "---\n",
      "(27.975, 46.0, 1, 46.0)\n",
      "(0.05, 46.0, 1, 1000.0)\n",
      "---\n",
      "(28.025, 52.0, 2, 52.0)\n",
      "(0.4, 52.0, 2, 600.0)\n",
      "---\n",
      "(28.425, 48.0, 2, 48.0)\n",
      "(1.2, 48.0, 2, -400.0)\n",
      "---\n",
      "(29.625, 46.0, 1, None)\n",
      "(0.325, 46.0, 1, None)\n",
      "---\n",
      "(29.95, 46.0, 1, None)\n",
      "(0.275, 46.0, 1, None)\n",
      "---\n",
      "(30.225, 44.0, 1, 44.0)\n",
      "(0.25, 44.0, 1, -400.0)\n",
      "---\n",
      "(30.475, 48.0, 2, None)\n",
      "(0.275, 48.0, 2, None)\n",
      "---\n",
      "(30.75, 48.0, 2, None)\n",
      "(0.175, 48.0, 2, None)\n",
      "---\n",
      "(30.925, 42.0, 1, 42.0)\n",
      "(0.1, 42.0, 1, -200.0)\n",
      "---\n",
      "(31.025, 53.0, 2, 53.0)\n",
      "(0.1, 53.0, 2, 1100.0)\n",
      "---\n",
      "(31.125, 36.0, 0, None)\n",
      "(0.25, 36.0, 0, None)\n",
      "---\n",
      "(31.375, 36.0, 0, None)\n",
      "(0.325, 36.0, 0, None)\n",
      "---\n",
      "(31.7, 36.0, 0, None)\n",
      "(0.275, 36.0, 0, None)\n",
      "---\n",
      "(31.975, 41.0, 0, 41.0)\n",
      "(0.55, 41.0, 0, -1200.0)\n",
      "---\n",
      "(32.525, 53.0, 2, None)\n",
      "(0.275, 53.0, 2, None)\n",
      "---\n",
      "(32.8, 53.0, 2, None)\n",
      "(0.35, 53.0, 2, None)\n",
      "---\n",
      "(33.15, 53.0, 2, None)\n",
      "(0.075, 53.0, 2, None)\n",
      "---\n",
      "(33.225, 41.0, 0, None)\n",
      "(0.2, 41.0, 0, None)\n",
      "---\n",
      "(33.425, 51.0, 2, 51.0)\n",
      "(0.175, 51.0, 2, 1000.0)\n",
      "---\n",
      "(33.6, 41.0, 0, None)\n",
      "(0.175, 41.0, 0, None)\n",
      "---\n",
      "(33.775, 39.0, 0, 39.0)\n",
      "(0.175, 39.0, 0, -1200.0)\n",
      "---\n",
      "(33.95, 37.0, 0, 37.0)\n",
      "(0.175, 37.0, 0, -200.0)\n",
      "---\n",
      "(34.125, 49.0, 2, 49.0)\n",
      "(1.375, 49.0, 2, 1200.0)\n",
      "---\n",
      "(35.5, 40.0, 0, 40.0)\n",
      "(0.025, 40.0, 0, -900.0)\n",
      "---\n",
      "(35.525, 41.0, 0, 41.0)\n",
      "(0.25, 41.0, 0, 100.0)\n",
      "---\n",
      "(35.775, 40.0, 0, 40.0)\n",
      "(0.85, 40.0, 0, -100.0)\n",
      "---\n",
      "(36.625, 42.0, 1, None)\n",
      "(0.325, 42.0, 1, None)\n",
      "---\n",
      "(36.95, 42.0, 1, None)\n",
      "(0.175, 42.0, 1, None)\n",
      "---\n",
      "(37.125, 45.0, 1, 45.0)\n",
      "(0.1, 45.0, 1, 500.0)\n",
      "---\n",
      "(37.225, 46.0, 1, 46.0)\n",
      "(0.25, 46.0, 1, 100.0)\n",
      "---\n",
      "(37.475, 39.0, 0, 39.0)\n",
      "(0.375, 39.0, 0, -700.0)\n",
      "---\n",
      "(37.85, 45.0, 1, 45.0)\n",
      "(0.425, 45.0, 1, 600.0)\n",
      "---\n",
      "(38.275, 44.0, 1, 44.0)\n",
      "(0.575, 44.0, 1, -100.0)\n",
      "---\n",
      "(38.85, 45.0, 1, 45.0)\n",
      "(0.1, 45.0, 1, 100.0)\n",
      "---\n",
      "(38.95, 44.0, 1, 44.0)\n",
      "(0.025, 44.0, 1, -100.0)\n",
      "---\n",
      "(38.975, 39.0, 0, None)\n",
      "(0.2, 39.0, 0, None)\n",
      "---\n",
      "(39.175, 42.0, 1, 42.0)\n",
      "(0.075, 42.0, 1, -200.0)\n",
      "---\n",
      "(39.25, 39.0, 0, None)\n",
      "(0.1, 39.0, 0, None)\n",
      "---\n",
      "(39.35, 49.0, 2, None)\n",
      "(0.025, 49.0, 2, None)\n",
      "---\n",
      "(39.375, 41.0, 1, 41.0)\n",
      "(0.125, 41.0, 1, -100.0)\n",
      "---\n",
      "(39.5, 39.0, 0, None)\n",
      "(0.1, 39.0, 0, None)\n",
      "---\n",
      "(39.6, 39.0, 1, 39.0)\n",
      "(0.0, 39.0, 1, -200.0)\n",
      "---\n",
      "(39.6, 49.0, 2, None)\n",
      "(0.175, 49.0, 2, None)\n",
      "---\n",
      "(39.775, 40.0, 0, 40.0)\n",
      "(0.125, 40.0, 0, 100.0)\n",
      "---\n",
      "(39.9, 49.0, 2, None)\n",
      "(0.25, 49.0, 2, None)\n",
      "---\n",
      "(40.15, 49.0, 2, None)\n",
      "(0.025, 49.0, 2, None)\n",
      "---\n",
      "(40.175, 39.0, 0, 39.0)\n",
      "(0.15, 39.0, 0, -100.0)\n",
      "---\n",
      "(40.325, 52.0, 2, 52.0)\n",
      "(0.1, 52.0, 2, 1300.0)\n",
      "---\n",
      "(40.425, 53.0, 2, 53.0)\n",
      "(0.625, 53.0, 2, 100.0)\n",
      "---\n",
      "(41.05, 52.0, 2, 52.0)\n",
      "(0.025, 52.0, 2, -100.0)\n",
      "---\n",
      "(41.075, 37.0, 0, 37.0)\n",
      "(0.4, 37.0, 0, -1500.0)\n",
      "---\n",
      "(41.475, 51.0, 2, 51.0)\n",
      "(0.4, 51.0, 2, 1400.0)\n",
      "---\n",
      "(41.875, 36.0, 0, 36.0)\n",
      "(0.175, 36.0, 0, -1500.0)\n",
      "---\n",
      "(42.05, 39.0, 1, None)\n",
      "(0.0, 39.0, 1, None)\n",
      "---\n",
      "(42.05, 52.0, 2, 52.0)\n",
      "(0.1, 52.0, 2, 1600.0)\n",
      "---\n",
      "(42.15, 51.0, 2, 51.0)\n",
      "(0.15, 51.0, 2, -100.0)\n",
      "---\n",
      "(42.3, 39.0, 1, None)\n",
      "(0.075, 39.0, 1, None)\n",
      "---\n",
      "(42.375, 49.0, 2, 49.0)\n",
      "(0.2, 49.0, 2, -200.0)\n",
      "---\n",
      "(42.575, 48.0, 2, 48.0)\n",
      "(0.075, 48.0, 2, -100.0)\n",
      "---\n",
      "(42.65, 39.0, 1, None)\n",
      "(0.125, 39.0, 1, None)\n",
      "---\n",
      "(42.775, 34.0, 0, 34.0)\n",
      "(0.025, 34.0, 0, -1400.0)\n",
      "---\n",
      "(42.8, 46.0, 2, 46.0)\n",
      "(0.075, 46.0, 2, 1200.0)\n",
      "---\n",
      "(42.875, 44.0, 1, 44.0)\n",
      "(0.3, 44.0, 1, -200.0)\n",
      "---\n",
      "(43.175, 45.0, 1, 45.0)\n",
      "(0.85, 45.0, 1, 100.0)\n",
      "---\n",
      "(44.025, 46.0, 2, None)\n",
      "(0.2, 46.0, 2, None)\n",
      "---\n",
      "(44.225, 34.0, 0, None)\n",
      "(0.125, 34.0, 0, None)\n",
      "---\n",
      "(44.35, 46.0, 2, None)\n",
      "(0.175, 46.0, 2, None)\n",
      "---\n",
      "(44.525, 34.0, 0, None)\n",
      "(0.05, 34.0, 0, None)\n",
      "---\n",
      "(44.575, 51.0, 2, 51.0)\n",
      "(0.25, 51.0, 2, 600.0)\n",
      "---\n",
      "(44.825, 34.0, 0, None)\n",
      "(0.05, 34.0, 0, None)\n",
      "---\n",
      "(44.875, 52.0, 2, 52.0)\n",
      "(0.2, 52.0, 2, 100.0)\n",
      "---\n",
      "(45.075, 39.0, 0, 39.0)\n",
      "(0.075, 39.0, 0, -1300.0)\n",
      "---\n",
      "(45.15, 40.0, 0, 40.0)\n",
      "(0.825, 40.0, 0, 100.0)\n",
      "---\n",
      "(45.975, 40.0, 0, None)\n",
      "(0.375, 40.0, 0, None)\n",
      "---\n",
      "(46.35, 40.0, 0, None)\n",
      "(0.225, 40.0, 0, None)\n",
      "---\n",
      "(46.575, 42.0, 0, 42.0)\n",
      "(0.1, 42.0, 0, 200.0)\n",
      "---\n",
      "(46.675, 45.0, 1, None)\n",
      "(0.3, 45.0, 1, None)\n",
      "---\n",
      "(46.975, 44.0, 0, 44.0)\n",
      "(0.05, 44.0, 0, 200.0)\n",
      "---\n",
      "(47.025, 45.0, 1, None)\n",
      "(0.25, 45.0, 1, None)\n",
      "---\n",
      "(47.275, 45.0, 0, 45.0)\n",
      "(0.1, 45.0, 0, 100.0)\n",
      "---\n",
      "(47.375, 45.0, 1, None)\n",
      "(0.25, 45.0, 1, None)\n",
      "---\n",
      "(47.625, 45.0, 1, None)\n",
      "(0.05, 45.0, 1, None)\n",
      "---\n",
      "(47.675, 47.0, 1, 47.0)\n",
      "(0.4, 47.0, 1, 200.0)\n",
      "---\n",
      "(48.075, 49.0, 1, 49.0)\n",
      "(0.3, 49.0, 1, 200.0)\n",
      "---\n",
      "(48.375, 50.0, 1, 50.0)\n",
      "(0.025, 50.0, 1, 100.0)\n",
      "---\n",
      "(48.4, 52.0, 2, None)\n",
      "(0.275, 52.0, 2, None)\n",
      "---\n",
      "(48.675, 52.0, 2, None)\n",
      "(0.25, 52.0, 2, None)\n",
      "---\n",
      "(48.925, 52.0, 2, None)\n",
      "(0.05, 52.0, 2, None)\n",
      "---\n",
      "(48.975, 45.0, 0, None)\n",
      "(0.2, 45.0, 0, None)\n",
      "---\n",
      "(49.175, 52.0, 2, None)\n",
      "(0.1, 52.0, 2, None)\n",
      "---\n",
      "(49.275, 45.0, 0, None)\n",
      "(0.1, 45.0, 0, None)\n",
      "---\n",
      "(49.375, 54.0, 2, 54.0)\n",
      "(0.1, 54.0, 2, 400.0)\n",
      "---\n",
      "(49.475, 41.0, 0, 41.0)\n",
      "(0.3, 41.0, 0, -1300.0)\n",
      "---\n",
      "(49.775, 56.0, 2, 56.0)\n",
      "(0.3, 56.0, 2, 1500.0)\n",
      "---\n",
      "(50.075, 57.0, 2, 57.0)\n",
      "(0.125, 57.0, 2, 100.0)\n",
      "---\n",
      "(50.2, 46.0, 1, 46.0)\n",
      "(1.175, 46.0, 1, -1100.0)\n",
      "---\n",
      "(51.375, 57.0, 2, None)\n",
      "(0.3, 57.0, 2, None)\n",
      "---\n",
      "(51.675, 57.0, 2, None)\n",
      "(0.05, 57.0, 2, None)\n",
      "---\n",
      "(51.725, 50.0, 1, 50.0)\n",
      "(0.3, 50.0, 1, 400.0)\n",
      "---\n",
      "(52.025, 57.0, 2, None)\n",
      "(0.05, 57.0, 2, None)\n",
      "---\n",
      "(52.075, 48.0, 1, 48.0)\n",
      "(0.025, 48.0, 1, -200.0)\n",
      "---\n",
      "(52.1, 47.0, 1, 47.0)\n",
      "(0.15, 47.0, 1, -100.0)\n",
      "---\n",
      "(52.25, 44.0, 1, 44.0)\n",
      "(0.025, 44.0, 1, -300.0)\n",
      "---\n",
      "(52.275, 53.0, 2, 53.0)\n",
      "(2.0, 53.0, 2, 900.0)\n",
      "---\n",
      "(54.275, 41.0, 0, None)\n",
      "(0.35, 41.0, 0, None)\n",
      "---\n",
      "(54.625, 41.0, 0, None)\n",
      "(0.2, 41.0, 0, None)\n",
      "---\n",
      "(54.825, 45.0, 0, 45.0)\n",
      "(0.35, 45.0, 0, -800.0)\n",
      "---\n",
      "(55.175, 43.0, 0, 43.0)\n",
      "(0.025, 43.0, 0, -200.0)\n",
      "---\n",
      "(55.2, 42.0, 0, 42.0)\n",
      "(0.15, 42.0, 0, -100.0)\n",
      "---\n",
      "(55.35, 39.0, 0, 39.0)\n",
      "(0.475, 39.0, 0, -300.0)\n",
      "---\n",
      "(55.825, 53.0, 2, None)\n",
      "(0.3, 53.0, 2, None)\n",
      "---\n",
      "(56.125, 53.0, 2, None)\n",
      "(0.225, 53.0, 2, None)\n",
      "---\n",
      "(56.35, 57.0, 2, 57.0)\n",
      "(0.35, 57.0, 2, 1800.0)\n",
      "---\n",
      "(56.7, 55.0, 2, 55.0)\n",
      "(0.025, 55.0, 2, -200.0)\n",
      "---\n",
      "(56.725, 54.0, 2, 54.0)\n",
      "(0.15, 54.0, 2, -100.0)\n",
      "---\n",
      "(56.875, 51.0, 2, 51.0)\n",
      "(1.725, 51.0, 2, -300.0)\n",
      "---\n",
      "(58.6, 39.0, 0, None)\n",
      "(0.175, 39.0, 0, None)\n",
      "---\n",
      "(58.775, 51.0, 2, None)\n",
      "(0.125, 51.0, 2, None)\n",
      "---\n",
      "(58.9, 44.0, 1, None)\n",
      "(0.05, 44.0, 1, None)\n",
      "---\n",
      "(58.95, 39.0, 0, None)\n",
      "(0.1, 39.0, 0, None)\n",
      "---\n",
      "(59.05, 51.0, 2, None)\n",
      "(0.175, 51.0, 2, None)\n",
      "---\n",
      "(59.225, 44.0, 1, None)\n",
      "(0.025, 44.0, 1, None)\n",
      "---\n",
      "(59.25, 39.0, 0, None)\n",
      "(0.05, 39.0, 0, None)\n",
      "---\n",
      "(59.3, 51.0, 2, None)\n",
      "(0.175, 51.0, 2, None)\n",
      "---\n",
      "(59.475, 41.0, 0, 41.0)\n",
      "(0.05, 41.0, 0, -1000.0)\n",
      "---\n",
      "(59.525, 46.0, 1, 46.0)\n",
      "(0.075, 46.0, 1, 500.0)\n",
      "---\n",
      "(59.6, 51.0, 2, None)\n",
      "(0.125, 51.0, 2, None)\n",
      "---\n",
      "(59.725, 53.0, 2, 53.0)\n",
      "(1.05, 53.0, 2, 700.0)\n",
      "---\n",
      "(60.775, 41.0, 0, None)\n",
      "(0.15, 41.0, 0, None)\n",
      "---\n",
      "(60.925, 46.0, 1, None)\n",
      "(0.225, 46.0, 1, None)\n",
      "---\n",
      "(61.15, 41.0, 0, None)\n",
      "(0.025, 41.0, 0, None)\n",
      "---\n",
      "(61.175, 46.0, 1, None)\n",
      "(0.25, 46.0, 1, None)\n",
      "---\n",
      "(61.425, 53.0, 2, None)\n",
      "(0.075, 53.0, 2, None)\n",
      "---\n",
      "(61.5, 41.0, 0, None)\n",
      "(0.05, 41.0, 0, None)\n",
      "---\n",
      "(61.55, 46.0, 1, None)\n",
      "(0.125, 46.0, 1, None)\n",
      "---\n",
      "(61.675, 39.0, 0, 39.0)\n",
      "(0.05, 39.0, 0, -1400.0)\n",
      "---\n",
      "(61.725, 44.0, 1, 44.0)\n",
      "(0.0, 44.0, 1, 500.0)\n",
      "---\n",
      "(61.725, 53.0, 2, None)\n",
      "(0.2, 53.0, 2, None)\n",
      "---\n",
      "(61.925, 51.0, 2, 51.0)\n",
      "(1.525, 51.0, 2, 700.0)\n",
      "---\n",
      "(63.45, 44.0, 1, None)\n",
      "(0.25, 44.0, 1, None)\n",
      "---\n",
      "(63.7, 44.0, 1, None)\n",
      "(0.35, 44.0, 1, None)\n",
      "---\n",
      "(64.05, 42.0, 1, 42.0)\n",
      "(0.45, 42.0, 1, -900.0)\n",
      "---\n",
      "(64.5, 41.0, 1, 41.0)\n",
      "(0.7, 41.0, 1, -100.0)\n",
      "---\n",
      "(65.2, 39.0, 0, None)\n",
      "(0.375, 39.0, 0, None)\n",
      "---\n",
      "(65.575, 39.0, 0, None)\n",
      "(0.325, 39.0, 0, None)\n",
      "---\n",
      "(65.9, 41.0, 1, None)\n",
      "(0.025, 41.0, 1, None)\n",
      "---\n",
      "(65.925, 39.0, 0, None)\n",
      "(0.175, 39.0, 0, None)\n",
      "---\n",
      "(66.1, 37.0, 0, 37.0)\n",
      "(0.1, 37.0, 0, -400.0)\n",
      "---\n",
      "(66.2, 41.0, 1, None)\n",
      "(0.3, 41.0, 1, None)\n",
      "---\n",
      "(66.5, 41.0, 1, None)\n",
      "(0.05, 41.0, 1, None)\n",
      "---\n",
      "(66.55, 36.0, 0, 36.0)\n",
      "(0.025, 36.0, 0, -100.0)\n",
      "---\n",
      "(66.575, 42.0, 1, 42.0)\n",
      "(0.5, 42.0, 1, 600.0)\n",
      "---\n",
      "(67.075, 36.0, 0, None)\n",
      "(0.25, 36.0, 0, None)\n",
      "---\n",
      "(67.325, 36.0, 0, None)\n",
      "(0.25, 36.0, 0, None)\n",
      "---\n",
      "(67.575, 37.0, 0, 37.0)\n",
      "(0.1, 37.0, 0, -500.0)\n",
      "---\n",
      "(67.675, 44.0, 1, 44.0)\n",
      "(1.0, 44.0, 1, 700.0)\n",
      "---\n",
      "(68.675, 39.0, 0, 39.0)\n",
      "(0.175, 39.0, 0, -500.0)\n",
      "---\n",
      "(68.85, 51.0, 2, None)\n",
      "(0.25, 51.0, 2, None)\n",
      "---\n",
      "(69.1, 51.0, 2, None)\n",
      "(0.3, 51.0, 2, None)\n",
      "---\n",
      "(69.4, 51.0, 2, None)\n",
      "(0.025, 51.0, 2, None)\n",
      "---\n",
      "(69.425, 49.0, 2, 49.0)\n",
      "(1.125, 49.0, 2, 1000.0)\n",
      "---\n",
      "(70.55, 48.0, 2, 48.0)\n",
      "(0.725, 48.0, 2, -100.0)\n",
      "---\n",
      "(71.275, 49.0, 2, 49.0)\n",
      "(0.275, 49.0, 2, 100.0)\n",
      "---\n",
      "(71.55, 51.0, 2, 51.0)\n",
      "(0.4, 51.0, 2, 200.0)\n",
      "---\n",
      "(71.95, 44.0, 1, None)\n",
      "(0.3, 44.0, 1, None)\n",
      "---\n",
      "(72.25, 44.0, 1, None)\n",
      "(0.25, 44.0, 1, None)\n",
      "---\n",
      "(72.5, 44.0, 1, None)\n",
      "(0.275, 44.0, 1, None)\n",
      "---\n",
      "(72.775, 44.0, 1, None)\n",
      "(0.075, 44.0, 1, None)\n",
      "---\n",
      "(72.85, 50.0, 2, 50.0)\n",
      "(0.025, 50.0, 2, -100.0)\n",
      "---\n",
      "(72.875, 43.0, 1, 43.0)\n",
      "(0.075, 43.0, 1, -700.0)\n",
      "---\n",
      "(72.95, 52.0, 2, 52.0)\n",
      "(0.05, 52.0, 2, 900.0)\n",
      "---\n",
      "(73.0, 53.0, 2, 53.0)\n",
      "(0.175, 53.0, 2, 100.0)\n",
      "---\n",
      "(73.175, 39.0, 0, None)\n",
      "(0.1, 39.0, 0, None)\n",
      "---\n",
      "(73.275, 45.0, 1, 45.0)\n",
      "(0.2, 45.0, 1, -800.0)\n",
      "---\n",
      "(73.475, 39.0, 0, None)\n",
      "(0.0, 39.0, 0, None)\n",
      "---\n",
      "(73.475, 46.0, 1, 46.0)\n",
      "(0.35, 46.0, 1, 100.0)\n",
      "---\n",
      "(73.825, 39.0, 0, None)\n",
      "(0.05, 39.0, 0, None)\n",
      "---\n",
      "(73.875, 38.0, 0, 38.0)\n",
      "(0.05, 38.0, 0, -800.0)\n",
      "---\n",
      "(73.925, 53.0, 2, None)\n",
      "(0.25, 53.0, 2, None)\n",
      "---\n",
      "(74.175, 53.0, 2, None)\n",
      "(0.1, 53.0, 2, None)\n",
      "---\n",
      "(74.275, 40.0, 0, 40.0)\n",
      "(0.2, 40.0, 0, 200.0)\n",
      "---\n",
      "(74.475, 41.0, 0, 41.0)\n",
      "(0.4, 41.0, 0, 100.0)\n",
      "---\n",
      "(74.875, 44.0, 1, 44.0)\n",
      "(0.275, 44.0, 1, 300.0)\n",
      "---\n",
      "(75.15, 48.0, 1, 48.0)\n",
      "(0.1, 48.0, 1, 400.0)\n",
      "---\n",
      "(75.25, 50.0, 1, 50.0)\n",
      "(0.2, 50.0, 1, 200.0)\n",
      "---\n",
      "(75.45, 49.0, 1, 49.0)\n",
      "(0.125, 49.0, 1, -100.0)\n",
      "---\n",
      "(75.575, 55.0, 2, 55.0)\n",
      "(0.3, 55.0, 2, 600.0)\n",
      "---\n",
      "(75.875, 39.0, 0, 39.0)\n",
      "(0.1, 39.0, 0, -1600.0)\n",
      "---\n",
      "(75.975, 57.0, 2, 57.0)\n",
      "(0.175, 57.0, 2, 1800.0)\n",
      "---\n",
      "(76.15, 43.0, 0, 43.0)\n",
      "(0.1, 43.0, 0, -1400.0)\n",
      "---\n",
      "(76.25, 45.0, 0, 45.0)\n",
      "(0.175, 45.0, 0, 200.0)\n",
      "---\n",
      "(76.425, 50.0, 1, 50.0)\n",
      "(0.025, 50.0, 1, 500.0)\n",
      "---\n",
      "(76.45, 44.0, 0, 44.0)\n",
      "(0.225, 44.0, 0, -600.0)\n",
      "---\n",
      "(76.675, 49.0, 1, 49.0)\n",
      "(0.1, 49.0, 1, 500.0)\n",
      "---\n",
      "(76.775, 56.0, 2, 56.0)\n",
      "(0.15, 56.0, 2, 700.0)\n",
      "---\n",
      "(76.925, 46.0, 1, 46.0)\n",
      "(0.5, 46.0, 1, -1000.0)\n",
      "---\n",
      "(77.425, 45.0, 0, 45.0)\n",
      "(0.25, 45.0, 0, -100.0)\n",
      "---\n",
      "(77.675, 44.0, 0, 44.0)\n",
      "(0.025, 44.0, 0, -100.0)\n",
      "---\n",
      "(77.7, 46.0, 1, None)\n",
      "(0.375, 46.0, 1, None)\n",
      "---\n",
      "(78.075, 46.0, 1, None)\n",
      "(0.25, 46.0, 1, None)\n",
      "---\n",
      "(78.325, 44.0, 1, 44.0)\n",
      "(0.35, 44.0, 1, 0.0)\n",
      "---\n",
      "(78.675, 41.0, 0, 41.0)\n",
      "(0.95, 41.0, 0, -300.0)\n",
      "---\n",
      "(79.625, 41.0, 0, None)\n",
      "(0.375, 41.0, 0, None)\n",
      "---\n",
      "(80.0, 41.0, 0, None)\n",
      "(0.075, 41.0, 0, None)\n",
      "---\n",
      "(80.075, 56.0, 2, None)\n",
      "(0.2, 56.0, 2, None)\n",
      "---\n",
      "(80.275, 41.0, 0, None)\n",
      "(0.05, 41.0, 0, None)\n",
      "---\n",
      "(80.325, 56.0, 2, None)\n",
      "(0.05, 56.0, 2, None)\n",
      "---\n",
      "(80.375, 39.0, 0, 39.0)\n",
      "(0.3, 39.0, 0, -200.0)\n",
      "---\n",
      "(80.675, 57.0, 2, 57.0)\n",
      "(1.0, 57.0, 2, 1800.0)\n",
      "---\n",
      "(81.675, 56.0, 2, 56.0)\n",
      "(1.0, 56.0, 2, -100.0)\n",
      "---\n",
      "(82.675, 53.0, 2, 53.0)\n",
      "(0.925, 53.0, 2, -300.0)\n",
      "---\n",
      "(83.6, 53.0, 2, None)\n",
      "(0.325, 53.0, 2, None)\n",
      "---\n",
      "(83.925, 53.0, 2, None)\n",
      "(0.25, 53.0, 2, None)\n",
      "---\n",
      "(84.175, 53.0, 2, None)\n",
      "(0.2, 53.0, 2, None)\n",
      "---\n",
      "(84.375, 51.0, 2, 51.0)\n",
      "(2.05, 51.0, 2, -200.0)\n",
      "---\n",
      "(86.425, 39.0, 0, None)\n",
      "(0.0, 39.0, 0, None)\n",
      "---\n",
      "(86.425, 44.0, 1, None)\n",
      "(0.25, 44.0, 1, None)\n",
      "---\n",
      "(86.675, 39.0, 0, None)\n",
      "(0.0, 39.0, 0, None)\n",
      "---\n",
      "(86.675, 51.0, 2, None)\n",
      "(0.05, 51.0, 2, None)\n",
      "---\n",
      "(86.725, 44.0, 1, None)\n",
      "(0.2, 44.0, 1, None)\n",
      "---\n",
      "(86.925, 39.0, 0, None)\n",
      "(0.05, 39.0, 0, None)\n",
      "---\n",
      "(86.975, 44.0, 1, None)\n",
      "(0.025, 44.0, 1, None)\n",
      "---\n",
      "(87.0, 41.0, 0, 41.0)\n",
      "(0.0, 41.0, 0, -1000.0)\n",
      "---\n",
      "(87.0, 51.0, 2, None)\n",
      "(0.05, 51.0, 2, None)\n",
      "---\n",
      "(87.05, 46.0, 1, 46.0)\n",
      "(0.2, 46.0, 1, 500.0)\n",
      "---\n",
      "(87.25, 53.0, 2, 53.0)\n",
      "(0.2, 53.0, 2, 700.0)\n",
      "---\n",
      "(87.45, 39.0, 0, 39.0)\n",
      "(0.05, 39.0, 0, -1400.0)\n",
      "---\n",
      "(87.5, 44.0, 1, 44.0)\n",
      "(0.2, 44.0, 1, 500.0)\n",
      "---\n",
      "(87.7, 51.0, 2, 51.0)\n",
      "(1.75, 51.0, 2, 700.0)\n",
      "---\n",
      "(89.45, 44.0, 1, None)\n",
      "(0.325, 44.0, 1, None)\n",
      "---\n",
      "(89.775, 44.0, 1, None)\n",
      "(0.25, 44.0, 1, None)\n",
      "---\n",
      "(90.025, 44.0, 1, None)\n",
      "(0.15, 44.0, 1, None)\n",
      "---\n",
      "(90.175, 41.0, 1, 41.0)\n",
      "(1.5, 41.0, 1, -1000.0)\n",
      "---\n",
      "(91.675, 42.0, 1, 42.0)\n",
      "(0.875, 42.0, 1, 100.0)\n",
      "---\n",
      "(92.55, 39.0, 0, None)\n",
      "(0.325, 39.0, 0, None)\n",
      "---\n",
      "(92.875, 39.0, 0, None)\n",
      "(0.275, 39.0, 0, None)\n",
      "---\n",
      "(93.15, 39.0, 0, None)\n",
      "(0.125, 39.0, 0, None)\n",
      "---\n",
      "(93.275, 36.0, 0, 36.0)\n",
      "(0.525, 36.0, 0, -600.0)\n",
      "---\n",
      "(93.8, 42.0, 1, None)\n",
      "(0.3, 42.0, 1, None)\n",
      "---\n",
      "(94.1, 42.0, 1, None)\n",
      "(0.175, 42.0, 1, None)\n",
      "---\n",
      "(94.275, 36.0, 0, None)\n",
      "(0.025, 36.0, 0, None)\n",
      "---\n",
      "(94.3, 51.0, 2, None)\n",
      "(0.05, 51.0, 2, None)\n",
      "---\n",
      "(94.35, 42.0, 1, None)\n",
      "(0.2, 42.0, 1, None)\n",
      "---\n",
      "(94.55, 51.0, 2, None)\n",
      "(0.025, 51.0, 2, None)\n",
      "---\n",
      "(94.575, 39.0, 1, 39.0)\n",
      "(0.075, 39.0, 1, 300.0)\n",
      "---\n",
      "(94.65, 36.0, 0, None)\n",
      "(0.125, 36.0, 0, None)\n",
      "---\n",
      "(94.775, 37.0, 0, 37.0)\n",
      "(0.025, 37.0, 0, -200.0)\n",
      "---\n",
      "(94.8, 48.0, 2, 48.0)\n",
      "(0.575, 48.0, 2, 1100.0)\n",
      "---\n",
      "(95.375, 46.0, 1, 46.0)\n",
      "(0.3, 46.0, 1, -200.0)\n",
      "---\n",
      "(95.675, 47.0, 1, 47.0)\n",
      "(0.3, 47.0, 1, 100.0)\n",
      "---\n",
      "(95.975, 37.0, 0, None)\n",
      "(0.325, 37.0, 0, None)\n",
      "---\n",
      "(96.3, 37.0, 0, None)\n",
      "(0.0, 37.0, 0, None)\n",
      "---\n",
      "(96.3, 49.0, 2, 49.0)\n",
      "(0.325, 49.0, 2, 200.0)\n",
      "---\n",
      "(96.625, 37.0, 0, None)\n",
      "(0.225, 37.0, 0, None)\n",
      "---\n",
      "(96.85, 34.0, 0, 34.0)\n",
      "(0.1, 34.0, 0, -1500.0)\n",
      "---\n",
      "(96.95, 47.0, 1, None)\n",
      "(0.1, 47.0, 1, None)\n",
      "---\n",
      "(97.05, 41.0, 0, 41.0)\n",
      "(0.075, 41.0, 0, 700.0)\n",
      "---\n",
      "(97.125, 42.0, 0, 42.0)\n",
      "(0.1, 42.0, 0, 100.0)\n",
      "---\n",
      "(97.225, 47.0, 1, None)\n",
      "(0.3, 47.0, 1, None)\n",
      "---\n",
      "(97.525, 47.0, 1, None)\n",
      "(0.125, 47.0, 1, None)\n",
      "---\n",
      "(97.65, 37.0, 0, 37.0)\n",
      "(0.125, 37.0, 0, -500.0)\n",
      "---\n",
      "(97.775, 42.0, 1, 42.0)\n",
      "(0.475, 42.0, 1, 500.0)\n",
      "---\n",
      "(98.25, 49.0, 2, None)\n",
      "(0.35, 49.0, 2, None)\n",
      "---\n",
      "(98.6, 49.0, 2, None)\n",
      "(0.25, 49.0, 2, None)\n",
      "---\n",
      "(98.85, 49.0, 2, None)\n",
      "(0.275, 49.0, 2, None)\n",
      "---\n",
      "(99.125, 49.0, 2, None)\n",
      "(0.075, 49.0, 2, None)\n",
      "---\n",
      "(99.2, 46.0, 2, 46.0)\n",
      "(0.6, 46.0, 2, 400.0)\n",
      "---\n",
      "(99.8, 42.0, 1, None)\n",
      "(0.05, 42.0, 1, None)\n",
      "---\n",
      "(99.85, 53.0, 2, 53.0)\n",
      "(0.075, 53.0, 2, 700.0)\n",
      "---\n",
      "(99.925, 54.0, 2, 54.0)\n",
      "(0.25, 54.0, 2, 100.0)\n",
      "---\n",
      "(100.175, 42.0, 1, None)\n",
      "(0.275, 42.0, 1, None)\n",
      "---\n",
      "(100.45, 42.0, 1, None)\n",
      "(0.0, 42.0, 1, None)\n",
      "---\n",
      "(100.45, 49.0, 2, 49.0)\n",
      "(0.1, 49.0, 2, -500.0)\n",
      "---\n",
      "(100.55, 44.0, 1, 44.0)\n",
      "(0.675, 44.0, 1, -500.0)\n",
      "---\n",
      "(101.225, 37.0, 0, None)\n",
      "(0.225, 37.0, 0, None)\n",
      "---\n",
      "(101.45, 41.0, 1, 41.0)\n",
      "(0.125, 41.0, 1, -300.0)\n",
      "---\n",
      "(101.575, 37.0, 0, None)\n",
      "(0.025, 37.0, 0, None)\n",
      "---\n",
      "(101.6, 49.0, 2, None)\n",
      "(0.175, 49.0, 2, None)\n",
      "---\n",
      "(101.775, 39.0, 0, 39.0)\n",
      "(0.175, 39.0, 0, -200.0)\n",
      "---\n",
      "(101.95, 49.0, 2, None)\n",
      "(0.275, 49.0, 2, None)\n",
      "---\n",
      "(102.225, 49.0, 2, None)\n",
      "(0.025, 49.0, 2, None)\n",
      "---\n",
      "(102.25, 51.0, 2, 51.0)\n",
      "(1.5, 51.0, 2, 1200.0)\n",
      "---\n",
      "(103.75, 51.0, 2, None)\n",
      "(0.3, 51.0, 2, None)\n",
      "---\n",
      "(104.05, 51.0, 2, None)\n",
      "(0.375, 51.0, 2, None)\n",
      "---\n",
      "(104.425, 48.0, 2, 48.0)\n",
      "(0.025, 48.0, 2, -300.0)\n",
      "---\n",
      "(104.45, 39.0, 0, None)\n",
      "(0.075, 39.0, 0, None)\n",
      "---\n",
      "(104.525, 41.0, 1, None)\n",
      "(0.25, 41.0, 1, None)\n",
      "---\n",
      "(104.775, 41.0, 1, None)\n",
      "(0.025, 41.0, 1, None)\n",
      "---\n",
      "(104.8, 39.0, 0, None)\n",
      "(0.3, 39.0, 0, None)\n",
      "---\n",
      "(105.1, 41.0, 1, None)\n",
      "(0.05, 41.0, 1, None)\n",
      "---\n",
      "(105.15, 39.0, 0, None)\n",
      "(0.225, 39.0, 0, None)\n",
      "---\n",
      "(105.375, 36.0, 0, 36.0)\n",
      "(0.05, 36.0, 0, -1200.0)\n",
      "---\n",
      "(105.425, 44.0, 1, 44.0)\n",
      "(0.5, 44.0, 1, 800.0)\n",
      "---\n",
      "(105.925, 45.0, 1, 45.0)\n",
      "(0.6, 45.0, 1, 100.0)\n",
      "---\n",
      "(106.525, 44.0, 1, 44.0)\n",
      "(0.275, 44.0, 1, -100.0)\n",
      "---\n",
      "(106.8, 36.0, 0, None)\n",
      "(0.375, 36.0, 0, None)\n",
      "---\n",
      "(107.175, 36.0, 0, None)\n",
      "(0.3, 36.0, 0, None)\n",
      "---\n",
      "(107.475, 44.0, 1, None)\n",
      "(0.025, 44.0, 1, None)\n",
      "---\n",
      "(107.5, 36.0, 0, None)\n",
      "(0.2, 36.0, 0, None)\n",
      "---\n",
      "(107.7, 39.0, 0, 39.0)\n",
      "(0.125, 39.0, 0, -500.0)\n",
      "---\n",
      "(107.825, 40.0, 0, 40.0)\n",
      "(0.025, 40.0, 0, 100.0)\n",
      "---\n",
      "(107.85, 44.0, 1, None)\n",
      "(0.0, 44.0, 1, None)\n",
      "---\n",
      "(107.85, 48.0, 2, None)\n",
      "(0.125, 48.0, 2, None)\n",
      "---\n",
      "(107.975, 39.0, 0, 39.0)\n",
      "(0.125, 39.0, 0, -100.0)\n",
      "---\n",
      "(108.1, 44.0, 1, None)\n",
      "(0.05, 44.0, 1, None)\n",
      "---\n",
      "(108.15, 48.0, 2, None)\n",
      "(0.175, 48.0, 2, None)\n",
      "---\n",
      "(108.325, 46.0, 1, 46.0)\n",
      "(0.1, 46.0, 1, 700.0)\n",
      "---\n",
      "(108.425, 41.0, 0, 41.0)\n",
      "(0.1, 41.0, 0, -500.0)\n",
      "---\n",
      "(108.525, 48.0, 2, None)\n",
      "(0.1, 48.0, 2, None)\n",
      "---\n",
      "(108.625, 51.0, 2, 51.0)\n",
      "(0.1, 51.0, 2, 1000.0)\n",
      "---\n",
      "(108.725, 40.0, 0, 40.0)\n",
      "(0.4, 40.0, 0, -1100.0)\n",
      "---\n",
      "(109.125, 52.0, 2, 52.0)\n",
      "(0.05, 52.0, 2, 1200.0)\n",
      "---\n",
      "(109.175, 39.0, 0, 39.0)\n",
      "(0.35, 39.0, 0, -1300.0)\n",
      "---\n",
      "(109.525, 45.0, 1, 45.0)\n",
      "(0.2, 45.0, 1, 600.0)\n",
      "---\n",
      "(109.725, 51.0, 2, 51.0)\n",
      "(0.975, 51.0, 2, 600.0)\n",
      "---\n",
      "(110.7, 45.0, 1, None)\n",
      "(0.225, 45.0, 1, None)\n",
      "---\n",
      "(110.925, 51.0, 2, None)\n",
      "(0.075, 51.0, 2, None)\n",
      "---\n",
      "(111.0, 45.0, 1, None)\n",
      "(0.175, 45.0, 1, None)\n",
      "---\n",
      "(111.175, 51.0, 2, None)\n",
      "(0.15, 51.0, 2, None)\n",
      "---\n",
      "(111.325, 44.0, 1, 44.0)\n",
      "(0.1, 44.0, 1, -700.0)\n",
      "---\n",
      "(111.425, 39.0, 0, None)\n",
      "(0.1, 39.0, 0, None)\n",
      "---\n",
      "(111.525, 53.0, 2, 53.0)\n",
      "(0.2, 53.0, 2, 900.0)\n",
      "---\n",
      "(111.725, 39.0, 0, None)\n",
      "(0.25, 39.0, 0, None)\n",
      "---\n",
      "(111.975, 37.0, 0, 37.0)\n",
      "(0.05, 37.0, 0, -1600.0)\n",
      "---\n",
      "(112.025, 42.0, 1, 42.0)\n",
      "(0.2, 42.0, 1, 500.0)\n",
      "---\n",
      "(112.225, 43.0, 1, 43.0)\n",
      "(0.0, 43.0, 1, 100.0)\n",
      "---\n",
      "(112.225, 53.0, 2, None)\n",
      "(0.275, 53.0, 2, None)\n",
      "---\n",
      "(112.5, 53.0, 2, None)\n",
      "(0.225, 53.0, 2, None)\n",
      "---\n",
      "(112.725, 52.0, 2, 52.0)\n",
      "(0.05, 52.0, 2, 900.0)\n",
      "---\n",
      "(112.775, 38.0, 0, 38.0)\n",
      "(0.35, 38.0, 0, -1400.0)\n",
      "---\n",
      "(113.125, 45.0, 1, 45.0)\n",
      "(0.475, 45.0, 1, 700.0)\n",
      "---\n",
      "(113.6, 44.0, 1, 44.0)\n",
      "(0.075, 44.0, 1, -100.0)\n",
      "---\n",
      "(113.675, 52.0, 2, None)\n",
      "(0.375, 52.0, 2, None)\n",
      "---\n",
      "(114.05, 52.0, 2, None)\n",
      "(0.3, 52.0, 2, None)\n",
      "---\n",
      "(114.35, 52.0, 2, None)\n",
      "(0.175, 52.0, 2, None)\n",
      "---\n",
      "(114.525, 51.0, 2, 51.0)\n",
      "(0.7, 51.0, 2, 700.0)\n",
      "---\n",
      "(115.225, 49.0, 2, 49.0)\n",
      "(0.2, 49.0, 2, -200.0)\n",
      "---\n",
      "(115.425, 50.0, 2, 50.0)\n",
      "(0.175, 50.0, 2, 100.0)\n",
      "---\n",
      "(115.6, 38.0, 0, None)\n",
      "(0.25, 38.0, 0, None)\n",
      "---\n",
      "(115.85, 38.0, 0, None)\n",
      "(0.325, 38.0, 0, None)\n",
      "---\n",
      "(116.175, 38.0, 0, None)\n",
      "(0.15, 38.0, 0, None)\n",
      "---\n",
      "(116.325, 52.0, 2, 52.0)\n",
      "(0.05, 52.0, 2, 200.0)\n",
      "---\n",
      "(116.375, 40.0, 0, 40.0)\n",
      "(0.425, 40.0, 0, -1200.0)\n",
      "---\n",
      "(116.8, 51.0, 2, 51.0)\n",
      "(0.95, 51.0, 2, 1100.0)\n",
      "---\n",
      "(117.75, 39.0, 0, 39.0)\n",
      "(1.275, 39.0, 0, -1200.0)\n",
      "---\n",
      "(119.025, 39.0, 0, None)\n",
      "(0.325, 39.0, 0, None)\n",
      "---\n",
      "(119.35, 39.0, 0, None)\n",
      "(0.325, 39.0, 0, None)\n",
      "---\n",
      "(119.675, 40.0, 0, 40.0)\n",
      "(0.125, 40.0, 0, 100.0)\n",
      "---\n",
      "(119.8, 44.0, 1, None)\n",
      "(0.375, 44.0, 1, None)\n",
      "---\n",
      "(120.175, 44.0, 1, None)\n",
      "(0.3, 44.0, 1, None)\n",
      "---\n",
      "(120.475, 41.0, 0, 41.0)\n",
      "(0.0, 41.0, 0, 100.0)\n",
      "---\n",
      "(120.475, 44.0, 1, None)\n",
      "(0.3, 44.0, 1, None)\n",
      "---\n",
      "(120.775, 45.0, 1, 45.0)\n",
      "(0.8, 45.0, 1, 400.0)\n",
      "---\n",
      "(121.575, 46.0, 1, 46.0)\n",
      "(0.1, 46.0, 1, 100.0)\n",
      "---\n",
      "(121.675, 41.0, 0, None)\n",
      "(0.125, 41.0, 0, None)\n",
      "---\n",
      "(121.8, 51.0, 2, None)\n",
      "(0.225, 51.0, 2, None)\n",
      "---\n",
      "(122.025, 41.0, 0, None)\n",
      "(0.15, 41.0, 0, None)\n",
      "---\n",
      "(122.175, 37.0, 0, 37.0)\n",
      "(0.0, 37.0, 0, -900.0)\n",
      "---\n",
      "(122.175, 51.0, 2, None)\n",
      "(0.275, 51.0, 2, None)\n",
      "---\n",
      "(122.45, 51.0, 2, None)\n",
      "(0.1, 51.0, 2, None)\n",
      "---\n",
      "(122.55, 52.0, 2, 52.0)\n",
      "(0.175, 52.0, 2, 1500.0)\n",
      "---\n",
      "(122.725, 46.0, 1, None)\n",
      "(0.275, 46.0, 1, None)\n",
      "---\n",
      "(123.0, 46.0, 1, None)\n",
      "(0.275, 46.0, 1, None)\n",
      "---\n",
      "(123.275, 42.0, 1, 42.0)\n",
      "(0.075, 42.0, 1, -1000.0)\n",
      "---\n",
      "(123.35, 53.0, 2, 53.0)\n",
      "(0.85, 53.0, 2, 1100.0)\n",
      "---\n",
      "(124.2, 42.0, 1, None)\n",
      "(0.05, 42.0, 1, None)\n",
      "---\n",
      "(124.25, 53.0, 2, None)\n",
      "(0.325, 53.0, 2, None)\n",
      "---\n",
      "(124.575, 42.0, 1, None)\n",
      "(0.0, 42.0, 1, None)\n",
      "---\n",
      "(124.575, 53.0, 2, None)\n",
      "(0.25, 53.0, 2, None)\n",
      "---\n",
      "(124.825, 42.0, 1, None)\n",
      "(0.0, 42.0, 1, None)\n",
      "---\n",
      "(124.825, 53.0, 2, None)\n",
      "(0.225, 53.0, 2, None)\n",
      "---\n",
      "(125.05, 49.0, 2, 49.0)\n",
      "(0.025, 49.0, 2, -400.0)\n",
      "---\n",
      "(125.075, 49.0, 1, 49.0)\n",
      "(0.75, 49.0, 1, 0.0)\n",
      "---\n",
      "(125.825, 47.0, 1, 47.0)\n",
      "(0.9, 47.0, 1, -200.0)\n",
      "---\n",
      "(126.725, 46.0, 1, 46.0)\n",
      "(0.675, 46.0, 1, -100.0)\n",
      "---\n",
      "(127.4, 37.0, 0, None)\n",
      "(0.125, 37.0, 0, None)\n",
      "---\n",
      "(127.525, 44.0, 1, 44.0)\n",
      "(0.25, 44.0, 1, -200.0)\n",
      "---\n",
      "(127.775, 37.0, 0, None)\n",
      "(0.325, 37.0, 0, None)\n",
      "---\n",
      "(128.1, 37.0, 0, None)\n",
      "(0.075, 37.0, 0, None)\n",
      "---\n",
      "(128.175, 44.0, 0, 44.0)\n",
      "(0.65, 44.0, 0, 0.0)\n",
      "---\n",
      "(128.825, 46.0, 1, 46.0)\n",
      "(0.1, 46.0, 1, 200.0)\n",
      "---\n",
      "(128.925, 42.0, 0, 42.0)\n",
      "(0.25, 42.0, 0, -400.0)\n",
      "---\n",
      "(129.175, 49.0, 2, None)\n",
      "(0.125, 49.0, 2, None)\n",
      "---\n",
      "(129.3, 41.0, 0, 41.0)\n",
      "(0.2, 41.0, 0, -100.0)\n",
      "---\n",
      "(129.5, 39.0, 0, 39.0)\n",
      "(0.0, 39.0, 0, -200.0)\n",
      "---\n",
      "(129.5, 49.0, 2, None)\n",
      "(0.25, 49.0, 2, None)\n",
      "---\n",
      "(129.75, 49.0, 2, None)\n",
      "(0.025, 49.0, 2, None)\n",
      "---\n",
      "(129.775, 56.0, 2, 56.0)\n",
      "(0.05, 56.0, 2, 1700.0)\n",
      "---\n",
      "(129.825, 41.0, 0, 41.0)\n",
      "(0.25, 41.0, 0, -1500.0)\n",
      "---\n",
      "(130.075, 39.0, 0, 39.0)\n",
      "(0.45, 39.0, 0, -200.0)\n",
      "---\n",
      "(130.525, 54.0, 2, 54.0)\n",
      "(0.375, 54.0, 2, 1500.0)\n",
      "---\n",
      "(130.9, 53.0, 2, 53.0)\n",
      "(0.2, 53.0, 2, -100.0)\n",
      "---\n",
      "(131.1, 51.0, 2, 51.0)\n",
      "(0.325, 51.0, 2, -200.0)\n",
      "---\n",
      "(131.425, 53.0, 2, 53.0)\n",
      "(0.25, 53.0, 2, 200.0)\n",
      "---\n",
      "(131.675, 51.0, 2, 51.0)\n",
      "(4.55, 51.0, 2, -200.0)\n",
      "---\n",
      "(136.225, 42.0, 1, 42.0)\n",
      "(0.3, 42.0, 1, -900.0)\n",
      "---\n",
      "(136.525, 39.0, 0, None)\n",
      "(0.275, 39.0, 0, None)\n",
      "---\n",
      "(136.8, 39.0, 0, None)\n",
      "(0.0, 39.0, 0, None)\n",
      "---\n",
      "(136.8, 41.0, 1, 41.0)\n",
      "(0.275, 41.0, 1, -100.0)\n",
      "---\n",
      "(137.075, 39.0, 0, None)\n",
      "(0.05, 39.0, 0, None)\n",
      "---\n",
      "(137.125, 42.0, 1, 42.0)\n",
      "(0.025, 42.0, 1, 100.0)\n",
      "---\n",
      "(137.15, 51.0, 2, None)\n",
      "(0.15, 51.0, 2, None)\n",
      "---\n",
      "(137.3, 44.0, 1, 44.0)\n",
      "(0.075, 44.0, 1, 200.0)\n",
      "---\n",
      "(137.375, 37.0, 0, 37.0)\n",
      "(0.05, 37.0, 0, -700.0)\n",
      "---\n",
      "(137.425, 51.0, 2, None)\n",
      "(0.35, 51.0, 2, None)\n",
      "---\n",
      "(137.775, 49.0, 2, 49.0)\n",
      "(0.425, 49.0, 2, 1200.0)\n",
      "---\n",
      "(138.2, 37.0, 0, None)\n",
      "(0.325, 37.0, 0, None)\n",
      "---\n",
      "(138.525, 37.0, 0, None)\n",
      "(0.325, 37.0, 0, None)\n",
      "---\n",
      "(138.85, 36.0, 0, 36.0)\n",
      "(0.325, 36.0, 0, -1300.0)\n",
      "---\n",
      "(139.175, 37.0, 0, 37.0)\n",
      "(0.025, 37.0, 0, 100.0)\n",
      "---\n",
      "(139.2, 49.0, 2, None)\n",
      "(0.15, 49.0, 2, None)\n",
      "---\n",
      "(139.35, 39.0, 0, 39.0)\n",
      "(0.225, 39.0, 0, 200.0)\n",
      "---\n",
      "(139.575, 49.0, 2, None)\n",
      "(0.35, 49.0, 2, None)\n",
      "---\n",
      "(139.925, 49.0, 2, None)\n",
      "(0.15, 49.0, 2, None)\n",
      "---\n",
      "(140.075, 48.0, 2, 48.0)\n",
      "(1.3, 48.0, 2, 900.0)\n",
      "---\n",
      "(141.375, 49.0, 2, 49.0)\n",
      "(0.6, 49.0, 2, 100.0)\n",
      "---\n",
      "(141.975, 44.0, 1, None)\n",
      "(0.1, 44.0, 1, None)\n",
      "---\n",
      "(142.075, 51.0, 2, 51.0)\n",
      "(0.175, 51.0, 2, 200.0)\n",
      "---\n",
      "(142.25, 44.0, 1, None)\n",
      "(0.3, 44.0, 1, None)\n",
      "---\n",
      "(142.55, 44.0, 1, None)\n",
      "(0.35, 44.0, 1, None)\n",
      "---\n",
      "(142.9, 44.0, 1, None)\n",
      "(0.075, 44.0, 1, None)\n",
      "---\n",
      "(142.975, 45.0, 1, 45.0)\n",
      "(0.1, 45.0, 1, -600.0)\n",
      "---\n",
      "(143.075, 39.0, 0, None)\n",
      "(0.275, 39.0, 0, None)\n",
      "---\n",
      "(143.35, 39.0, 0, None)\n",
      "(0.225, 39.0, 0, None)\n",
      "---\n",
      "(143.575, 46.0, 1, 46.0)\n",
      "(0.125, 46.0, 1, 100.0)\n",
      "---\n",
      "(143.7, 39.0, 0, None)\n",
      "(0.275, 39.0, 0, None)\n",
      "---\n",
      "(143.975, 40.0, 0, 40.0)\n",
      "(0.6, 40.0, 0, -600.0)\n",
      "---\n",
      "(144.575, 41.0, 0, 41.0)\n",
      "(0.125, 41.0, 0, 100.0)\n",
      "---\n",
      "(144.7, 51.0, 2, None)\n",
      "(0.075, 51.0, 2, None)\n",
      "---\n",
      "(144.775, 44.0, 1, 44.0)\n",
      "(0.175, 44.0, 1, 300.0)\n",
      "---\n",
      "(144.95, 51.0, 2, None)\n",
      "(0.3, 51.0, 2, None)\n",
      "---\n",
      "(145.25, 51.0, 2, None)\n",
      "(0.325, 51.0, 2, None)\n",
      "---\n",
      "(145.575, 40.0, 0, 40.0)\n",
      "(0.0, 40.0, 0, -400.0)\n",
      "---\n",
      "(145.575, 51.0, 2, None)\n",
      "(0.075, 51.0, 2, None)\n",
      "---\n",
      "(145.65, 52.0, 2, 52.0)\n",
      "(0.125, 52.0, 2, 1200.0)\n",
      "---\n",
      "(145.775, 39.0, 0, 39.0)\n",
      "(0.025, 39.0, 0, -1300.0)\n",
      "---\n",
      "(145.8, 53.0, 2, 53.0)\n",
      "(0.075, 53.0, 2, 1400.0)\n",
      "---\n",
      "(145.875, 44.0, 1, None)\n",
      "(0.175, 44.0, 1, None)\n",
      "---\n",
      "(146.05, 52.0, 2, 52.0)\n",
      "(0.05, 52.0, 2, -100.0)\n",
      "---\n",
      "(146.1, 51.0, 2, 51.0)\n",
      "(0.025, 51.0, 2, -100.0)\n",
      "---\n",
      "(146.125, 44.0, 1, None)\n",
      "(0.325, 44.0, 1, None)\n",
      "---\n",
      "(146.45, 44.0, 1, None)\n",
      "(0.1, 44.0, 1, None)\n",
      "---\n",
      "(146.55, 52.0, 2, 52.0)\n",
      "(0.025, 52.0, 2, 100.0)\n",
      "---\n",
      "(146.575, 45.0, 1, 45.0)\n",
      "(40, 45.0, 1, -700.0)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[(2.125, 51.0, 2, 0.0),\n",
       " (0.3, 46.0, 1, -500.0),\n",
       " (0.7, 44.0, 1, -200.0),\n",
       " (0.05, 41.0, 0, -300.0),\n",
       " (0.25, 51.0, 2, None),\n",
       " (0.075, 39.0, 0, -200.0),\n",
       " (0.375, 51.0, 2, None),\n",
       " (0.25, 51.0, 2, None),\n",
       " (0.45, 53.0, 2, 1400.0),\n",
       " (0.325, 44.0, 1, None),\n",
       " (0.225, 44.0, 1, None),\n",
       " (0.2, 42.0, 1, -1100.0),\n",
       " (0.75, 51.0, 2, 900.0),\n",
       " (0.325, 42.0, 1, None),\n",
       " (0.05, 39.0, 0, None),\n",
       " (0.25, 42.0, 1, None),\n",
       " (0.075, 42.0, 1, None),\n",
       " (0.05, 39.0, 0, None),\n",
       " (0.25, 41.0, 1, -1000.0),\n",
       " (0.1, 39.0, 0, None),\n",
       " (1.075, 37.0, 0, -400.0),\n",
       " (0.25, 37.0, 0, None),\n",
       " (0.25, 37.0, 0, None),\n",
       " (0.125, 37.0, 0, None),\n",
       " (1.1, 36.0, 0, -100.0),\n",
       " (0.3, 41.0, 1, None),\n",
       " (0.25, 41.0, 1, None),\n",
       " (0.2, 41.0, 1, None),\n",
       " (0.075, 42.0, 1, 600.0),\n",
       " (0.375, 51.0, 2, None),\n",
       " (0.15, 51.0, 2, None),\n",
       " (0.725, 49.0, 2, 700.0),\n",
       " (0.05, 48.0, 2, -100.0),\n",
       " (0.325, 36.0, 0, None),\n",
       " (0.2, 36.0, 0, None),\n",
       " (0.075, 37.0, 0, -1100.0),\n",
       " (0.275, 42.0, 1, None),\n",
       " (0.05, 42.0, 1, None),\n",
       " (0.325, 49.0, 2, 1200.0),\n",
       " (0.0, 39.0, 0, -1000.0),\n",
       " (0.05, 42.0, 1, None),\n",
       " (0.35, 44.0, 1, 500.0),\n",
       " (0.225, 51.0, 2, 700.0),\n",
       " (0.05, 40.0, 0, -1100.0),\n",
       " (0.05, 39.0, 0, -100.0),\n",
       " (0.3, 44.0, 1, 500.0),\n",
       " (0.05, 52.0, 2, 800.0),\n",
       " (0.75, 51.0, 2, -100.0),\n",
       " (0.05, 42.0, 1, -900.0),\n",
       " (0.3, 41.0, 1, -100.0),\n",
       " (0.3, 39.0, 0, None),\n",
       " (0.325, 39.0, 0, None),\n",
       " (0.275, 39.0, 0, None),\n",
       " (0.05, 39.0, 0, None),\n",
       " (0.15, 37.0, 0, -400.0),\n",
       " (0.05, 41.0, 1, None),\n",
       " (0.225, 36.0, 0, -100.0),\n",
       " (0.275, 41.0, 1, None),\n",
       " (0.025, 41.0, 1, None),\n",
       " (0.275, 51.0, 2, None),\n",
       " (0.0, 44.0, 1, 800.0),\n",
       " (0.375, 51.0, 2, None),\n",
       " (0.225, 51.0, 2, None),\n",
       " (0.2, 49.0, 2, 500.0),\n",
       " (0.85, 48.0, 2, -100.0),\n",
       " (0.3, 44.0, 1, None),\n",
       " (0.325, 44.0, 1, None),\n",
       " (0.25, 44.0, 1, None),\n",
       " (0.05, 44.0, 1, None),\n",
       " (0.025, 36.0, 0, None),\n",
       " (0.3, 46.0, 1, -200.0),\n",
       " (0.2, 36.0, 0, None),\n",
       " (0.6, 39.0, 0, -700.0),\n",
       " (0.15, 48.0, 2, None),\n",
       " (0.125, 46.0, 1, None),\n",
       " (0.2, 48.0, 2, None),\n",
       " (0.075, 46.0, 1, None),\n",
       " (0.15, 48.0, 2, None),\n",
       " (0.1, 44.0, 1, 500.0),\n",
       " (0.2, 48.0, 2, None),\n",
       " (0.125, 51.0, 2, 700.0),\n",
       " (0.3, 39.0, 0, None),\n",
       " (0.325, 39.0, 0, None),\n",
       " (0.175, 39.0, 0, None),\n",
       " (0.45, 41.0, 0, -1000.0),\n",
       " (0.425, 39.0, 0, -200.0),\n",
       " (0.325, 51.0, 2, None),\n",
       " (0.25, 51.0, 2, None),\n",
       " (0.225, 51.0, 2, None),\n",
       " (0.375, 53.0, 2, 1400.0),\n",
       " (0.225, 40.0, 0, -1300.0),\n",
       " (0.25, 44.0, 1, None),\n",
       " (0.275, 44.0, 1, None),\n",
       " (0.325, 44.0, 1, None),\n",
       " (0.025, 44.0, 1, None),\n",
       " (0.175, 45.0, 1, 500.0),\n",
       " (0.225, 51.0, 2, 600.0),\n",
       " (0.025, 41.0, 1, -1000.0),\n",
       " (1.3, 36.0, 0, -500.0),\n",
       " (0.05, 46.0, 1, 1000.0),\n",
       " (0.4, 52.0, 2, 600.0),\n",
       " (1.2, 48.0, 2, -400.0),\n",
       " (0.325, 46.0, 1, None),\n",
       " (0.275, 46.0, 1, None),\n",
       " (0.25, 44.0, 1, -400.0),\n",
       " (0.275, 48.0, 2, None),\n",
       " (0.175, 48.0, 2, None),\n",
       " (0.1, 42.0, 1, -200.0),\n",
       " (0.1, 53.0, 2, 1100.0),\n",
       " (0.25, 36.0, 0, None),\n",
       " (0.325, 36.0, 0, None),\n",
       " (0.275, 36.0, 0, None),\n",
       " (0.55, 41.0, 0, -1200.0),\n",
       " (0.275, 53.0, 2, None),\n",
       " (0.35, 53.0, 2, None),\n",
       " (0.075, 53.0, 2, None),\n",
       " (0.2, 41.0, 0, None),\n",
       " (0.175, 51.0, 2, 1000.0),\n",
       " (0.175, 41.0, 0, None),\n",
       " (0.175, 39.0, 0, -1200.0),\n",
       " (0.175, 37.0, 0, -200.0),\n",
       " (1.375, 49.0, 2, 1200.0),\n",
       " (0.025, 40.0, 0, -900.0),\n",
       " (0.25, 41.0, 0, 100.0),\n",
       " (0.85, 40.0, 0, -100.0),\n",
       " (0.325, 42.0, 1, None),\n",
       " (0.175, 42.0, 1, None),\n",
       " (0.1, 45.0, 1, 500.0),\n",
       " (0.25, 46.0, 1, 100.0),\n",
       " (0.375, 39.0, 0, -700.0),\n",
       " (0.425, 45.0, 1, 600.0),\n",
       " (0.575, 44.0, 1, -100.0),\n",
       " (0.1, 45.0, 1, 100.0),\n",
       " (0.025, 44.0, 1, -100.0),\n",
       " (0.2, 39.0, 0, None),\n",
       " (0.075, 42.0, 1, -200.0),\n",
       " (0.1, 39.0, 0, None),\n",
       " (0.025, 49.0, 2, None),\n",
       " (0.125, 41.0, 1, -100.0),\n",
       " (0.1, 39.0, 0, None),\n",
       " (0.0, 39.0, 1, -200.0),\n",
       " (0.175, 49.0, 2, None),\n",
       " (0.125, 40.0, 0, 100.0),\n",
       " (0.25, 49.0, 2, None),\n",
       " (0.025, 49.0, 2, None),\n",
       " (0.15, 39.0, 0, -100.0),\n",
       " (0.1, 52.0, 2, 1300.0),\n",
       " (0.625, 53.0, 2, 100.0),\n",
       " (0.025, 52.0, 2, -100.0),\n",
       " (0.4, 37.0, 0, -1500.0),\n",
       " (0.4, 51.0, 2, 1400.0),\n",
       " (0.175, 36.0, 0, -1500.0),\n",
       " (0.0, 39.0, 1, None),\n",
       " (0.1, 52.0, 2, 1600.0),\n",
       " (0.15, 51.0, 2, -100.0),\n",
       " (0.075, 39.0, 1, None),\n",
       " (0.2, 49.0, 2, -200.0),\n",
       " (0.075, 48.0, 2, -100.0),\n",
       " (0.125, 39.0, 1, None),\n",
       " (0.025, 34.0, 0, -1400.0),\n",
       " (0.075, 46.0, 2, 1200.0),\n",
       " (0.3, 44.0, 1, -200.0),\n",
       " (0.85, 45.0, 1, 100.0),\n",
       " (0.2, 46.0, 2, None),\n",
       " (0.125, 34.0, 0, None),\n",
       " (0.175, 46.0, 2, None),\n",
       " (0.05, 34.0, 0, None),\n",
       " (0.25, 51.0, 2, 600.0),\n",
       " (0.05, 34.0, 0, None),\n",
       " (0.2, 52.0, 2, 100.0),\n",
       " (0.075, 39.0, 0, -1300.0),\n",
       " (0.825, 40.0, 0, 100.0),\n",
       " (0.375, 40.0, 0, None),\n",
       " (0.225, 40.0, 0, None),\n",
       " (0.1, 42.0, 0, 200.0),\n",
       " (0.3, 45.0, 1, None),\n",
       " (0.05, 44.0, 0, 200.0),\n",
       " (0.25, 45.0, 1, None),\n",
       " (0.1, 45.0, 0, 100.0),\n",
       " (0.25, 45.0, 1, None),\n",
       " (0.05, 45.0, 1, None),\n",
       " (0.4, 47.0, 1, 200.0),\n",
       " (0.3, 49.0, 1, 200.0),\n",
       " (0.025, 50.0, 1, 100.0),\n",
       " (0.275, 52.0, 2, None),\n",
       " (0.25, 52.0, 2, None),\n",
       " (0.05, 52.0, 2, None),\n",
       " (0.2, 45.0, 0, None),\n",
       " (0.1, 52.0, 2, None),\n",
       " (0.1, 45.0, 0, None),\n",
       " (0.1, 54.0, 2, 400.0),\n",
       " (0.3, 41.0, 0, -1300.0),\n",
       " (0.3, 56.0, 2, 1500.0),\n",
       " (0.125, 57.0, 2, 100.0),\n",
       " (1.175, 46.0, 1, -1100.0),\n",
       " (0.3, 57.0, 2, None),\n",
       " (0.05, 57.0, 2, None),\n",
       " (0.3, 50.0, 1, 400.0),\n",
       " (0.05, 57.0, 2, None),\n",
       " (0.025, 48.0, 1, -200.0),\n",
       " (0.15, 47.0, 1, -100.0),\n",
       " (0.025, 44.0, 1, -300.0),\n",
       " (2.0, 53.0, 2, 900.0),\n",
       " (0.35, 41.0, 0, None),\n",
       " (0.2, 41.0, 0, None),\n",
       " (0.35, 45.0, 0, -800.0),\n",
       " (0.025, 43.0, 0, -200.0),\n",
       " (0.15, 42.0, 0, -100.0),\n",
       " (0.475, 39.0, 0, -300.0),\n",
       " (0.3, 53.0, 2, None),\n",
       " (0.225, 53.0, 2, None),\n",
       " (0.35, 57.0, 2, 1800.0),\n",
       " (0.025, 55.0, 2, -200.0),\n",
       " (0.15, 54.0, 2, -100.0),\n",
       " (1.725, 51.0, 2, -300.0),\n",
       " (0.175, 39.0, 0, None),\n",
       " (0.125, 51.0, 2, None),\n",
       " (0.05, 44.0, 1, None),\n",
       " (0.1, 39.0, 0, None),\n",
       " (0.175, 51.0, 2, None),\n",
       " (0.025, 44.0, 1, None),\n",
       " (0.05, 39.0, 0, None),\n",
       " (0.175, 51.0, 2, None),\n",
       " (0.05, 41.0, 0, -1000.0),\n",
       " (0.075, 46.0, 1, 500.0),\n",
       " (0.125, 51.0, 2, None),\n",
       " (1.05, 53.0, 2, 700.0),\n",
       " (0.15, 41.0, 0, None),\n",
       " (0.225, 46.0, 1, None),\n",
       " (0.025, 41.0, 0, None),\n",
       " (0.25, 46.0, 1, None),\n",
       " (0.075, 53.0, 2, None),\n",
       " (0.05, 41.0, 0, None),\n",
       " (0.125, 46.0, 1, None),\n",
       " (0.05, 39.0, 0, -1400.0),\n",
       " (0.0, 44.0, 1, 500.0),\n",
       " (0.2, 53.0, 2, None),\n",
       " (1.525, 51.0, 2, 700.0),\n",
       " (0.25, 44.0, 1, None),\n",
       " (0.35, 44.0, 1, None),\n",
       " (0.45, 42.0, 1, -900.0),\n",
       " (0.7, 41.0, 1, -100.0),\n",
       " (0.375, 39.0, 0, None),\n",
       " (0.325, 39.0, 0, None),\n",
       " (0.025, 41.0, 1, None),\n",
       " (0.175, 39.0, 0, None),\n",
       " (0.1, 37.0, 0, -400.0),\n",
       " (0.3, 41.0, 1, None),\n",
       " (0.05, 41.0, 1, None),\n",
       " (0.025, 36.0, 0, -100.0),\n",
       " (0.5, 42.0, 1, 600.0),\n",
       " (0.25, 36.0, 0, None),\n",
       " (0.25, 36.0, 0, None),\n",
       " (0.1, 37.0, 0, -500.0),\n",
       " (1.0, 44.0, 1, 700.0),\n",
       " (0.175, 39.0, 0, -500.0),\n",
       " (0.25, 51.0, 2, None),\n",
       " (0.3, 51.0, 2, None),\n",
       " (0.025, 51.0, 2, None),\n",
       " (1.125, 49.0, 2, 1000.0),\n",
       " (0.725, 48.0, 2, -100.0),\n",
       " (0.275, 49.0, 2, 100.0),\n",
       " (0.4, 51.0, 2, 200.0),\n",
       " (0.3, 44.0, 1, None),\n",
       " (0.25, 44.0, 1, None),\n",
       " (0.275, 44.0, 1, None),\n",
       " (0.075, 44.0, 1, None),\n",
       " (0.025, 50.0, 2, -100.0),\n",
       " (0.075, 43.0, 1, -700.0),\n",
       " (0.05, 52.0, 2, 900.0),\n",
       " (0.175, 53.0, 2, 100.0),\n",
       " (0.1, 39.0, 0, None),\n",
       " (0.2, 45.0, 1, -800.0),\n",
       " (0.0, 39.0, 0, None),\n",
       " (0.35, 46.0, 1, 100.0),\n",
       " (0.05, 39.0, 0, None),\n",
       " (0.05, 38.0, 0, -800.0),\n",
       " (0.25, 53.0, 2, None),\n",
       " (0.1, 53.0, 2, None),\n",
       " (0.2, 40.0, 0, 200.0),\n",
       " (0.4, 41.0, 0, 100.0),\n",
       " (0.275, 44.0, 1, 300.0),\n",
       " (0.1, 48.0, 1, 400.0),\n",
       " (0.2, 50.0, 1, 200.0),\n",
       " (0.125, 49.0, 1, -100.0),\n",
       " (0.3, 55.0, 2, 600.0),\n",
       " (0.1, 39.0, 0, -1600.0),\n",
       " (0.175, 57.0, 2, 1800.0),\n",
       " (0.1, 43.0, 0, -1400.0),\n",
       " (0.175, 45.0, 0, 200.0),\n",
       " (0.025, 50.0, 1, 500.0),\n",
       " (0.225, 44.0, 0, -600.0),\n",
       " (0.1, 49.0, 1, 500.0),\n",
       " (0.15, 56.0, 2, 700.0),\n",
       " (0.5, 46.0, 1, -1000.0),\n",
       " (0.25, 45.0, 0, -100.0),\n",
       " (0.025, 44.0, 0, -100.0),\n",
       " (0.375, 46.0, 1, None),\n",
       " (0.25, 46.0, 1, None),\n",
       " (0.35, 44.0, 1, 0.0),\n",
       " (0.95, 41.0, 0, -300.0),\n",
       " (0.375, 41.0, 0, None),\n",
       " (0.075, 41.0, 0, None),\n",
       " (0.2, 56.0, 2, None),\n",
       " (0.05, 41.0, 0, None),\n",
       " (0.05, 56.0, 2, None),\n",
       " (0.3, 39.0, 0, -200.0),\n",
       " (1.0, 57.0, 2, 1800.0),\n",
       " (1.0, 56.0, 2, -100.0),\n",
       " (0.925, 53.0, 2, -300.0),\n",
       " (0.325, 53.0, 2, None),\n",
       " (0.25, 53.0, 2, None),\n",
       " (0.2, 53.0, 2, None),\n",
       " (2.05, 51.0, 2, -200.0),\n",
       " (0.0, 39.0, 0, None),\n",
       " (0.25, 44.0, 1, None),\n",
       " (0.0, 39.0, 0, None),\n",
       " (0.05, 51.0, 2, None),\n",
       " (0.2, 44.0, 1, None),\n",
       " (0.05, 39.0, 0, None),\n",
       " (0.025, 44.0, 1, None),\n",
       " (0.0, 41.0, 0, -1000.0),\n",
       " (0.05, 51.0, 2, None),\n",
       " (0.2, 46.0, 1, 500.0),\n",
       " (0.2, 53.0, 2, 700.0),\n",
       " (0.05, 39.0, 0, -1400.0),\n",
       " (0.2, 44.0, 1, 500.0),\n",
       " (1.75, 51.0, 2, 700.0),\n",
       " (0.325, 44.0, 1, None),\n",
       " (0.25, 44.0, 1, None),\n",
       " (0.15, 44.0, 1, None),\n",
       " (1.5, 41.0, 1, -1000.0),\n",
       " (0.875, 42.0, 1, 100.0),\n",
       " (0.325, 39.0, 0, None),\n",
       " (0.275, 39.0, 0, None),\n",
       " (0.125, 39.0, 0, None),\n",
       " (0.525, 36.0, 0, -600.0),\n",
       " (0.3, 42.0, 1, None),\n",
       " (0.175, 42.0, 1, None),\n",
       " (0.025, 36.0, 0, None),\n",
       " (0.05, 51.0, 2, None),\n",
       " (0.2, 42.0, 1, None),\n",
       " (0.025, 51.0, 2, None),\n",
       " (0.075, 39.0, 1, 300.0),\n",
       " (0.125, 36.0, 0, None),\n",
       " (0.025, 37.0, 0, -200.0),\n",
       " (0.575, 48.0, 2, 1100.0),\n",
       " (0.3, 46.0, 1, -200.0),\n",
       " (0.3, 47.0, 1, 100.0),\n",
       " (0.325, 37.0, 0, None),\n",
       " (0.0, 37.0, 0, None),\n",
       " (0.325, 49.0, 2, 200.0),\n",
       " (0.225, 37.0, 0, None),\n",
       " (0.1, 34.0, 0, -1500.0),\n",
       " (0.1, 47.0, 1, None),\n",
       " (0.075, 41.0, 0, 700.0),\n",
       " (0.1, 42.0, 0, 100.0),\n",
       " (0.3, 47.0, 1, None),\n",
       " (0.125, 47.0, 1, None),\n",
       " (0.125, 37.0, 0, -500.0),\n",
       " (0.475, 42.0, 1, 500.0),\n",
       " (0.35, 49.0, 2, None),\n",
       " (0.25, 49.0, 2, None),\n",
       " (0.275, 49.0, 2, None),\n",
       " (0.075, 49.0, 2, None),\n",
       " (0.6, 46.0, 2, 400.0),\n",
       " (0.05, 42.0, 1, None),\n",
       " (0.075, 53.0, 2, 700.0),\n",
       " (0.25, 54.0, 2, 100.0),\n",
       " (0.275, 42.0, 1, None),\n",
       " (0.0, 42.0, 1, None),\n",
       " (0.1, 49.0, 2, -500.0),\n",
       " (0.675, 44.0, 1, -500.0),\n",
       " (0.225, 37.0, 0, None),\n",
       " (0.125, 41.0, 1, -300.0),\n",
       " (0.025, 37.0, 0, None),\n",
       " (0.175, 49.0, 2, None),\n",
       " (0.175, 39.0, 0, -200.0),\n",
       " (0.275, 49.0, 2, None),\n",
       " (0.025, 49.0, 2, None),\n",
       " (1.5, 51.0, 2, 1200.0),\n",
       " (0.3, 51.0, 2, None),\n",
       " (0.375, 51.0, 2, None),\n",
       " (0.025, 48.0, 2, -300.0),\n",
       " (0.075, 39.0, 0, None),\n",
       " (0.25, 41.0, 1, None),\n",
       " (0.025, 41.0, 1, None),\n",
       " (0.3, 39.0, 0, None),\n",
       " (0.05, 41.0, 1, None),\n",
       " (0.225, 39.0, 0, None),\n",
       " (0.05, 36.0, 0, -1200.0),\n",
       " (0.5, 44.0, 1, 800.0),\n",
       " (0.6, 45.0, 1, 100.0),\n",
       " (0.275, 44.0, 1, -100.0),\n",
       " (0.375, 36.0, 0, None),\n",
       " (0.3, 36.0, 0, None),\n",
       " (0.025, 44.0, 1, None),\n",
       " (0.2, 36.0, 0, None),\n",
       " (0.125, 39.0, 0, -500.0),\n",
       " (0.025, 40.0, 0, 100.0),\n",
       " (0.0, 44.0, 1, None),\n",
       " (0.125, 48.0, 2, None),\n",
       " (0.125, 39.0, 0, -100.0),\n",
       " (0.05, 44.0, 1, None),\n",
       " (0.175, 48.0, 2, None),\n",
       " (0.1, 46.0, 1, 700.0),\n",
       " (0.1, 41.0, 0, -500.0),\n",
       " (0.1, 48.0, 2, None),\n",
       " (0.1, 51.0, 2, 1000.0),\n",
       " (0.4, 40.0, 0, -1100.0),\n",
       " (0.05, 52.0, 2, 1200.0),\n",
       " (0.35, 39.0, 0, -1300.0),\n",
       " (0.2, 45.0, 1, 600.0),\n",
       " (0.975, 51.0, 2, 600.0),\n",
       " (0.225, 45.0, 1, None),\n",
       " (0.075, 51.0, 2, None),\n",
       " (0.175, 45.0, 1, None),\n",
       " (0.15, 51.0, 2, None),\n",
       " (0.1, 44.0, 1, -700.0),\n",
       " (0.1, 39.0, 0, None),\n",
       " (0.2, 53.0, 2, 900.0),\n",
       " (0.25, 39.0, 0, None),\n",
       " (0.05, 37.0, 0, -1600.0),\n",
       " (0.2, 42.0, 1, 500.0),\n",
       " (0.0, 43.0, 1, 100.0),\n",
       " (0.275, 53.0, 2, None),\n",
       " (0.225, 53.0, 2, None),\n",
       " (0.05, 52.0, 2, 900.0),\n",
       " (0.35, 38.0, 0, -1400.0),\n",
       " (0.475, 45.0, 1, 700.0),\n",
       " (0.075, 44.0, 1, -100.0),\n",
       " (0.375, 52.0, 2, None),\n",
       " (0.3, 52.0, 2, None),\n",
       " (0.175, 52.0, 2, None),\n",
       " (0.7, 51.0, 2, 700.0),\n",
       " (0.2, 49.0, 2, -200.0),\n",
       " (0.175, 50.0, 2, 100.0),\n",
       " (0.25, 38.0, 0, None),\n",
       " (0.325, 38.0, 0, None),\n",
       " (0.15, 38.0, 0, None),\n",
       " (0.05, 52.0, 2, 200.0),\n",
       " (0.425, 40.0, 0, -1200.0),\n",
       " (0.95, 51.0, 2, 1100.0),\n",
       " (1.275, 39.0, 0, -1200.0),\n",
       " (0.325, 39.0, 0, None),\n",
       " (0.325, 39.0, 0, None),\n",
       " (0.125, 40.0, 0, 100.0),\n",
       " (0.375, 44.0, 1, None),\n",
       " (0.3, 44.0, 1, None),\n",
       " (0.0, 41.0, 0, 100.0),\n",
       " (0.3, 44.0, 1, None),\n",
       " (0.8, 45.0, 1, 400.0),\n",
       " (0.1, 46.0, 1, 100.0),\n",
       " (0.125, 41.0, 0, None),\n",
       " (0.225, 51.0, 2, None),\n",
       " (0.15, 41.0, 0, None),\n",
       " (0.0, 37.0, 0, -900.0),\n",
       " (0.275, 51.0, 2, None),\n",
       " (0.1, 51.0, 2, None),\n",
       " (0.175, 52.0, 2, 1500.0),\n",
       " (0.275, 46.0, 1, None),\n",
       " (0.275, 46.0, 1, None),\n",
       " (0.075, 42.0, 1, -1000.0),\n",
       " (0.85, 53.0, 2, 1100.0),\n",
       " (0.05, 42.0, 1, None),\n",
       " (0.325, 53.0, 2, None),\n",
       " (0.0, 42.0, 1, None),\n",
       " (0.25, 53.0, 2, None),\n",
       " (0.0, 42.0, 1, None),\n",
       " (0.225, 53.0, 2, None),\n",
       " (0.025, 49.0, 2, -400.0),\n",
       " (0.75, 49.0, 1, 0.0),\n",
       " (0.9, 47.0, 1, -200.0),\n",
       " (0.675, 46.0, 1, -100.0),\n",
       " (0.125, 37.0, 0, None),\n",
       " (0.25, 44.0, 1, -200.0),\n",
       " (0.325, 37.0, 0, None),\n",
       " (0.075, 37.0, 0, None),\n",
       " (0.65, 44.0, 0, 0.0),\n",
       " (0.1, 46.0, 1, 200.0),\n",
       " (0.25, 42.0, 0, -400.0),\n",
       " (0.125, 49.0, 2, None),\n",
       " (0.2, 41.0, 0, -100.0),\n",
       " (0.0, 39.0, 0, -200.0),\n",
       " (0.25, 49.0, 2, None),\n",
       " (0.025, 49.0, 2, None),\n",
       " (0.05, 56.0, 2, 1700.0),\n",
       " (0.25, 41.0, 0, -1500.0),\n",
       " (0.45, 39.0, 0, -200.0),\n",
       " (0.375, 54.0, 2, 1500.0),\n",
       " (0.2, 53.0, 2, -100.0),\n",
       " (0.325, 51.0, 2, -200.0),\n",
       " (0.25, 53.0, 2, 200.0),\n",
       " (4.55, 51.0, 2, -200.0),\n",
       " (0.3, 42.0, 1, -900.0),\n",
       " (0.275, 39.0, 0, None),\n",
       " (0.0, 39.0, 0, None),\n",
       " (0.275, 41.0, 1, -100.0),\n",
       " (0.05, 39.0, 0, None),\n",
       " (0.025, 42.0, 1, 100.0),\n",
       " (0.15, 51.0, 2, None),\n",
       " (0.075, 44.0, 1, 200.0),\n",
       " (0.05, 37.0, 0, -700.0),\n",
       " (0.35, 51.0, 2, None),\n",
       " (0.425, 49.0, 2, 1200.0),\n",
       " (0.325, 37.0, 0, None),\n",
       " (0.325, 37.0, 0, None),\n",
       " (0.325, 36.0, 0, -1300.0),\n",
       " (0.025, 37.0, 0, 100.0),\n",
       " (0.15, 49.0, 2, None),\n",
       " (0.225, 39.0, 0, 200.0),\n",
       " (0.35, 49.0, 2, None),\n",
       " (0.15, 49.0, 2, None),\n",
       " (1.3, 48.0, 2, 900.0),\n",
       " (0.6, 49.0, 2, 100.0),\n",
       " (0.1, 44.0, 1, None),\n",
       " (0.175, 51.0, 2, 200.0),\n",
       " (0.3, 44.0, 1, None),\n",
       " (0.35, 44.0, 1, None),\n",
       " (0.075, 44.0, 1, None),\n",
       " (0.1, 45.0, 1, -600.0),\n",
       " (0.275, 39.0, 0, None),\n",
       " (0.225, 39.0, 0, None),\n",
       " (0.125, 46.0, 1, 100.0),\n",
       " (0.275, 39.0, 0, None),\n",
       " (0.6, 40.0, 0, -600.0),\n",
       " (0.125, 41.0, 0, 100.0),\n",
       " (0.075, 51.0, 2, None),\n",
       " (0.175, 44.0, 1, 300.0),\n",
       " (0.3, 51.0, 2, None),\n",
       " (0.325, 51.0, 2, None),\n",
       " (0.0, 40.0, 0, -400.0),\n",
       " (0.075, 51.0, 2, None),\n",
       " (0.125, 52.0, 2, 1200.0),\n",
       " (0.025, 39.0, 0, -1300.0),\n",
       " (0.075, 53.0, 2, 1400.0),\n",
       " (0.175, 44.0, 1, None),\n",
       " (0.05, 52.0, 2, -100.0),\n",
       " (0.025, 51.0, 2, -100.0),\n",
       " (0.325, 44.0, 1, None),\n",
       " (0.1, 44.0, 1, None),\n",
       " (0.025, 52.0, 2, 100.0),\n",
       " (40, 45.0, 1, -700.0)]"
      ]
     },
     "execution_count": 151,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import librosa \n",
    "import numpy as np\n",
    "from scipy.signal import savgol_filter\n",
    "import matplotlib.pyplot as plt\n",
    "from random import randint\n",
    "\n",
    "            \n",
    "t_min = 50\n",
    "t_max = 600\n",
    "f_time, f_frequency, f_confidence = [time[t_min:], frequency[t_min:], confidence[t_min:]]\n",
    "s_confidence = savgol_filter(f_confidence, 30, 4)\n",
    "\n",
    "def freqs_to_midi(freqs, confs):\n",
    "    last_confident_value = 51\n",
    "    for f, c in zip(freqs, confs):\n",
    "        if c > 0.9:\n",
    "            last_confident_value = librosa.hz_to_midi(f)\n",
    "        yield last_confident_value\n",
    "\n",
    "def snap_midi(midi):\n",
    "    r_midi = np.around(midi)\n",
    "    s_midi = np.around(savgol_filter(midi, 30, 5))\n",
    "    last_val = s_midi[0]\n",
    "    for i, (r1, r2) in enumerate(pairwise(r_midi)):\n",
    "        if r1 != r2:\n",
    "            last_val = s_midi[i+5]\n",
    "        yield last_val\n",
    "    yield last_val\n",
    "\n",
    "def filter_midi(midi):\n",
    "\n",
    "    def integrate(midi):\n",
    "        print(len(midi) / 40)\n",
    "        for imx, m in enumerate(midi):\n",
    "            if m != midi[imx - 1] or imx == 0:\n",
    "                if imx == 0:\n",
    "                    ins = 2\n",
    "                    val = m[2]\n",
    "                    last_val = val\n",
    "                else:\n",
    "                    ins = [pmx for pmx, p in enumerate(m) if p != midi[imx - 1][pmx]][0]\n",
    "                    val = m[ins]\n",
    "                note_dur = 0\n",
    "                #print(ins)\n",
    "                #print(val)\n",
    "                while imx + note_dur < len(midi) and midi[imx + note_dur][ins] == val:\n",
    "                    note_dur += 1\n",
    "                dev = val - last_val\n",
    "\n",
    "                print (imx / 40.0, val, ins, val)\n",
    "                print(note_dur / 40.0)\n",
    "                yield (imx / 40.0, val, ins, val)\n",
    "\n",
    "                tail = randint(20, 40)\n",
    "                if note_dur / 2 > tail:\n",
    "                #if False:\n",
    "                    t_sum = 0\n",
    "                    while t_sum < tail:\n",
    "                        print(\"here\")\n",
    "                        print ((imx + note_dur - tail + t_sum) / 40, val, ins, None)\n",
    "                        print(note_dur / 40.0)\n",
    "                        yield ((imx + note_dur - tail + t_sum) / 40, val, ins, None)\n",
    "                        t_sum += randint(10, 15)\n",
    "                \n",
    "                last_val = val\n",
    "\n",
    "    def redifferentiate(sorted_midi):\n",
    "        for imx, sm in enumerate(sorted_midi):\n",
    "            print(\"---\")\n",
    "            print(sm)\n",
    "            if imx < len(sorted_midi) - 1:\n",
    "                dur = round(sorted_midi[imx + 1][0] - sm[0], 3)\n",
    "            else:\n",
    "                dur = 40\n",
    "            [val, ins] = sm[1:-1]\n",
    "            dev = 0\n",
    "            if imx == 0:\n",
    "                dev = 0.0\n",
    "                last_val = val\n",
    "            elif sm[-1] == None:\n",
    "                dev = None\n",
    "            else:\n",
    "                dev = (sm[-1] - last_val) * 100.0\n",
    "                last_val = val\n",
    "            print((dur, val, ins, dev))\n",
    "            yield (dur, val, ins, dev)\n",
    "                \n",
    "    sorted_midi = sorted(integrate(midi))\n",
    "    #for sm in sorted_midi:\n",
    "    #    print(sm)\n",
    "    redifferentiated_midi = redifferentiate(sorted_midi)\n",
    "    return redifferentiated_midi\n",
    "    \n",
    "midi = list(freqs_to_midi(f_frequency, f_confidence))\n",
    "midi = tuple(snap_midi(midi))\n",
    "\n",
    "fs = 2351 # sample rate \n",
    "f = 20 # the frequency of the signal\n",
    "\n",
    "midi = zip(\n",
    "    tuple(midi[0] - 12 for i in range(2 * 40)) + tuple(chain(*tuple([m - 12 for r in range(int(1 - np.sin(2*np.pi*14 * (imx/fs))) * 3 + 1)] for imx, m in enumerate(midi)))),\n",
    "    tuple(midi[0] - 7 for i in range(1 * 40)) + tuple(chain(*tuple([m - 7 for r in range(int(1 - np.sin(2*np.pi*12 * (imx/fs))) * 3 + 1)] for imx, m in enumerate(midi)))),\n",
    "    tuple(chain(*tuple([m for r in range(int(1 - np.cos(0.5 * np.pi + 2*np.pi*10 * (imx/fs))) * 3 + 1)] for imx, m in enumerate(midi))))\n",
    ")\n",
    "\n",
    "target_melody_data = list(filter_midi(list(midi)))\n",
    "target_melody_data\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 152,
   "id": "c1e314cf-c928-4df5-b0da-8a7b13b2225f",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-2168.8259064691247, -968.8259064691249, 0]\n",
      "1\n",
      "-500.0\n",
      "[-2168.8259064691247, -968.8259064691249, 0]\n",
      "((-2, 0, 0, 0), (-1, 0, 0, 0), (-3, 0, 0, 1))\n",
      "((-2, 0, 0, 0), (-5, 1, 0, 1), (-3, 0, 0, 1))\n",
      "[-1668.8259064691247, 1.955000865387433, 500.0]\n",
      "1\n",
      "-200.0\n",
      "[-1668.8259064691247, 1.955000865387433, 500.0]\n",
      "((-2, 0, 0, 0), (-5, 1, 0, 1), (-3, 0, 0, 1))\n",
      "((-2, 0, 0, 0), (-2, -1, 0, 1), (-3, 0, 0, 1))\n",
      "[-1468.8259064691247, -1.9550008653875466, 700.0]\n",
      "0\n",
      "-300.0\n",
      "[-1468.8259064691247, -1.9550008653875466, 700.0]\n",
      "((-2, 0, 0, 0), (-2, -1, 0, 1), (-3, 0, 0, 1))\n",
      "((-2, 0, -1, 1), (-2, -1, 0, 1), (-3, 0, 0, 1))\n",
      "[-586.3137138648347, 298.04499913461245, 1000.0]\n",
      "2\n",
      "None\n",
      "[-586.3137138648347, 298.04499913461245, 1000.0]\n",
      "((-2, 0, -1, 1), (-2, -1, 0, 1), (-3, 0, 0, 1))\n",
      "((-2, 0, -1, 1), (-2, -1, 0, 1), (1, -1, -1, 1))\n",
      "[-586.3137138648347, 298.04499913461245, 1111.7312852697778]\n",
      "0\n",
      "-200.0\n",
      "[-586.3137138648347, 298.04499913461245, 1111.7312852697778]\n",
      "((-2, 0, -1, 1), (-2, -1, 0, 1), (1, -1, -1, 1))\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (1, -1, -1, 1))\n",
      "[2.2737367544323206e-13, 498.04499913461245, 1311.7312852697778]\n",
      "2\n",
      "None\n",
      "[2.2737367544323206e-13, 498.04499913461245, 1311.7312852697778]\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (1, -1, -1, 1))\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (-3, 0, 0, 1))\n",
      "[2.2737367544323206e-13, 498.04499913461245, 1200.0]\n",
      "2\n",
      "None\n",
      "[2.2737367544323206e-13, 498.04499913461245, 1200.0]\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (-3, 0, 0, 1))\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (1, -1, -1, 1))\n",
      "[2.2737367544323206e-13, 498.04499913461245, 1311.7312852697778]\n",
      "2\n",
      "1400.0\n",
      "[2.2737367544323206e-13, 498.04499913461245, 1311.7312852697778]\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (1, -1, -1, 1))\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (0, 0, 0, 0))\n",
      "[-1399.9999999999998, -901.9550008653875, 31.174093530875098]\n",
      "1\n",
      "None\n",
      "[-1399.9999999999998, -901.9550008653875, 31.174093530875098]\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (0, 0, 0, 0))\n",
      "((-4, 0, 0, 1), (2, 0, 0, -1), (0, 0, 0, 0))\n",
      "[-1399.9999999999998, -937.65181293825, 31.174093530875098]\n",
      "1\n",
      "None\n",
      "[-1399.9999999999998, -937.65181293825, 31.174093530875098]\n",
      "((-4, 0, 0, 1), (2, 0, 0, -1), (0, 0, 0, 0))\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (0, 0, 0, 0))\n",
      "[-1399.9999999999998, -901.9550008653875, 31.174093530875098]\n",
      "1\n",
      "-1100.0\n",
      "[-1399.9999999999998, -901.9550008653875, 31.174093530875098]\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (0, 0, 0, 0))\n",
      "((-4, 0, 0, 1), (2, 0, 0, -1), (0, 0, 0, 0))\n",
      "[-299.9999999999998, 162.34818706174997, 1131.174093530875]\n",
      "2\n",
      "900.0\n",
      "[-299.9999999999998, 162.34818706174997, 1131.174093530875]\n",
      "((-4, 0, 0, 1), (2, 0, 0, -1), (0, 0, 0, 0))\n",
      "((-4, 0, 0, 1), (2, 0, 0, -1), (1, 1, 0, -1))\n",
      "[-1199.9999999999998, -737.65181293825, -35.696812072862485]\n",
      "1\n",
      "None\n",
      "[-1199.9999999999998, -737.65181293825, -35.696812072862485]\n",
      "((-4, 0, 0, 1), (2, 0, 0, -1), (1, 1, 0, -1))\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (1, 1, 0, -1))\n",
      "[-1199.9999999999998, -701.9550008653875, -35.696812072862485]\n",
      "0\n",
      "None\n",
      "[-1199.9999999999998, -701.9550008653875, -35.696812072862485]\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (1, 1, 0, -1))\n",
      "((0, -1, -1, 1), (-2, -1, 0, 1), (1, 1, 0, -1))\n",
      "[-1088.2687147302217, -701.9550008653875, -35.696812072862485]\n",
      "1\n",
      "None\n",
      "[-1088.2687147302217, -701.9550008653875, -35.696812072862485]\n",
      "((0, -1, -1, 1), (-2, -1, 0, 1), (1, 1, 0, -1))\n",
      "((0, -1, -1, 1), (2, 0, 0, -1), (1, 1, 0, -1))\n",
      "[-1088.2687147302217, -737.65181293825, -35.696812072862485]\n",
      "1\n",
      "None\n",
      "[-1088.2687147302217, -737.65181293825, -35.696812072862485]\n",
      "((0, -1, -1, 1), (2, 0, 0, -1), (1, 1, 0, -1))\n",
      "((0, -1, -1, 1), (-2, -1, 0, 1), (1, 1, 0, -1))\n",
      "[-1088.2687147302217, -701.9550008653875, -35.696812072862485]\n",
      "0\n",
      "None\n",
      "[-1088.2687147302217, -701.9550008653875, -35.696812072862485]\n",
      "((0, -1, -1, 1), (-2, -1, 0, 1), (1, 1, 0, -1))\n",
      "((3, 1, 0, -2), (-2, -1, 0, 1), (1, 1, 0, -1))\n",
      "[-1004.5227185419872, -701.9550008653875, -35.696812072862485]\n",
      "1\n",
      "-1000.0\n",
      "[-1004.5227185419872, -701.9550008653875, -35.696812072862485]\n",
      "((3, 1, 0, -2), (-2, -1, 0, 1), (1, 1, 0, -1))\n",
      "((3, 1, 0, -2), (2, 0, 0, -1), (1, 1, 0, -1))\n",
      "[-4.52271854198716, 262.34818706174997, 964.3031879271375]\n",
      "0\n",
      "None\n",
      "[-4.52271854198716, 262.34818706174997, 964.3031879271375]\n",
      "((3, 1, 0, -2), (2, 0, 0, -1), (1, 1, 0, -1))\n",
      "((-1, 0, 0, 0), (2, 0, 0, -1), (1, 1, 0, -1))\n",
      "[31.174093530875325, 262.34818706174997, 964.3031879271375]\n",
      "0\n",
      "-400.0\n",
      "[31.174093530875325, 262.34818706174997, 964.3031879271375]\n",
      "((-1, 0, 0, 0), (2, 0, 0, -1), (1, 1, 0, -1))\n",
      "((3, -1, 0, -1), (2, 0, 0, -1), (1, 1, 0, -1))\n",
      "[-39.60681380363735, 662.34818706175, 1364.3031879271375]\n",
      "0\n",
      "None\n",
      "[-39.60681380363735, 662.34818706175, 1364.3031879271375]\n",
      "((3, -1, 0, -1), (2, 0, 0, -1), (1, 1, 0, -1))\n",
      "((-3, 1, 0, 0), (2, 0, 0, -1), (1, 1, 0, -1))\n",
      "[-66.87090560373713, 662.34818706175, 1364.3031879271375]\n",
      "0\n",
      "None\n",
      "[-66.87090560373713, 662.34818706175, 1364.3031879271375]\n",
      "((-3, 1, 0, 0), (2, 0, 0, -1), (1, 1, 0, -1))\n",
      "((3, -1, 0, -1), (2, 0, 0, -1), (1, 1, 0, -1))\n",
      "[-39.60681380363735, 662.34818706175, 1364.3031879271375]\n",
      "0\n",
      "None\n",
      "[-39.60681380363735, 662.34818706175, 1364.3031879271375]\n",
      "((3, -1, 0, -1), (2, 0, 0, -1), (1, 1, 0, -1))\n",
      "((-3, 1, 0, 0), (2, 0, 0, -1), (1, 1, 0, -1))\n",
      "[-66.87090560373713, 662.34818706175, 1364.3031879271375]\n",
      "0\n",
      "-100.0\n",
      "[-66.87090560373713, 662.34818706175, 1364.3031879271375]\n",
      "((-3, 1, 0, 0), (2, 0, 0, -1), (1, 1, 0, -1))\n",
      "((3, -1, 0, -1), (2, 0, 0, -1), (1, 1, 0, -1))\n",
      "[60.39318619636265, 762.34818706175, 1464.3031879271375]\n",
      "1\n",
      "None\n",
      "[60.39318619636265, 762.34818706175, 1464.3031879271375]\n",
      "((3, -1, 0, -1), (2, 0, 0, -1), (1, 1, 0, -1))\n",
      "((3, -1, 0, -1), (6, -1, -1, -1), (1, 1, 0, -1))\n",
      "[60.39318619636265, 874.0794723315277, 1464.3031879271375]\n",
      "1\n",
      "None\n",
      "[60.39318619636265, 874.0794723315277, 1464.3031879271375]\n",
      "((3, -1, 0, -1), (6, -1, -1, -1), (1, 1, 0, -1))\n",
      "((3, -1, 0, -1), (2, 0, 0, -1), (1, 1, 0, -1))\n",
      "[60.39318619636265, 762.34818706175, 1464.3031879271375]\n",
      "1\n",
      "None\n",
      "[60.39318619636265, 762.34818706175, 1464.3031879271375]\n",
      "((3, -1, 0, -1), (2, 0, 0, -1), (1, 1, 0, -1))\n",
      "((3, -1, 0, -1), (-2, 1, 1, -1), (1, 1, 0, -1))\n",
      "[60.39318619636265, 650.6169017919724, 1464.3031879271375]\n",
      "1\n",
      "600.0\n",
      "[60.39318619636265, 650.6169017919724, 1464.3031879271375]\n",
      "((3, -1, 0, -1), (-2, 1, 1, -1), (1, 1, 0, -1))\n",
      "((3, -1, 0, -1), (5, -2, 0, -1), (1, 1, 0, -1))\n",
      "[-539.6068138036374, -41.56181466902467, 864.3031879271375]\n",
      "2\n",
      "None\n",
      "[-539.6068138036374, -41.56181466902467, 864.3031879271375]\n",
      "((3, -1, 0, -1), (5, -2, 0, -1), (1, 1, 0, -1))\n",
      "((3, -1, 0, -1), (5, -2, 0, -1), (7, -1, 0, -2))\n",
      "[-539.6068138036374, -41.56181466902467, 891.5672797272375]\n",
      "2\n",
      "None\n",
      "[-539.6068138036374, -41.56181466902467, 891.5672797272375]\n",
      "((3, -1, 0, -1), (5, -2, 0, -1), (7, -1, 0, -2))\n",
      "((3, -1, 0, -1), (5, -2, 0, -1), (3, -2, 0, 0))\n",
      "[-539.6068138036374, -41.56181466902467, 927.2640918001001]\n",
      "2\n",
      "700.0\n",
      "[-539.6068138036374, -41.56181466902467, 927.2640918001001]\n",
      "((3, -1, 0, -1), (5, -2, 0, -1), (3, -2, 0, 0))\n",
      "((3, -1, 0, -1), (5, -2, 0, -1), (4, -1, 0, -1))\n",
      "[-1239.6068138036374, -741.5618146690247, -39.60681380363735]\n",
      "2\n",
      "-100.0\n",
      "[-1239.6068138036374, -741.5618146690247, -39.60681380363735]\n",
      "((3, -1, 0, -1), (5, -2, 0, -1), (4, -1, 0, -1))\n",
      "((3, -1, 0, -1), (5, -2, 0, -1), (8, -2, -1, -1))\n",
      "[-1139.6068138036374, -641.5618146690247, 172.1244714661405]\n",
      "0\n",
      "None\n",
      "[-1139.6068138036374, -641.5618146690247, 172.1244714661405]\n",
      "((3, -1, 0, -1), (5, -2, 0, -1), (8, -2, -1, -1))\n",
      "((4, -2, -1, 0), (5, -2, 0, -1), (8, -2, -1, -1))\n",
      "[-1259.0496220647344, -641.5618146690247, 172.1244714661405]\n",
      "0\n",
      "None\n",
      "[-1259.0496220647344, -641.5618146690247, 172.1244714661405]\n",
      "((4, -2, -1, 0), (5, -2, 0, -1), (8, -2, -1, -1))\n",
      "((6, -3, 0, -1), (5, -2, 0, -1), (8, -2, -1, -1))\n",
      "[-1343.516815534412, -641.5618146690247, 172.1244714661405]\n",
      "0\n",
      "-1100.0\n",
      "[-1343.516815534412, -641.5618146690247, 172.1244714661405]\n",
      "((6, -3, 0, -1), (5, -2, 0, -1), (8, -2, -1, -1))\n",
      "((3, -1, 0, -1), (5, -2, 0, -1), (8, -2, -1, -1))\n",
      "[-39.60681380363735, 458.43818533097533, 1272.1244714661404]\n",
      "1\n",
      "None\n",
      "[-39.60681380363735, 458.43818533097533, 1272.1244714661404]\n",
      "((3, -1, 0, -1), (5, -2, 0, -1), (8, -2, -1, -1))\n",
      "((3, -1, 0, -1), (1, -1, 1, -1), (8, -2, -1, -1))\n",
      "[-39.60681380363735, 346.70690006119753, 1272.1244714661404]\n",
      "1\n",
      "None\n",
      "[-39.60681380363735, 346.70690006119753, 1272.1244714661404]\n",
      "((3, -1, 0, -1), (1, -1, 1, -1), (8, -2, -1, -1))\n",
      "((3, -1, 0, -1), (10, -2, -1, -2), (8, -2, -1, -1))\n",
      "[-39.60681380363735, 303.2985649970153, 1272.1244714661404]\n",
      "2\n",
      "1200.0\n",
      "[-39.60681380363735, 303.2985649970153, 1272.1244714661404]\n",
      "((3, -1, 0, -1), (10, -2, -1, -2), (8, -2, -1, -1))\n",
      "((3, -1, 0, -1), (10, -2, -1, -2), (13, -2, -2, -2))\n",
      "[-1239.6068138036374, -896.7014350029847, -83.01514886781956]\n",
      "0\n",
      "-1000.0\n",
      "[-1239.6068138036374, -896.7014350029847, -83.01514886781956]\n",
      "((3, -1, 0, -1), (10, -2, -1, -2), (13, -2, -2, -2))\n",
      "((7, -2, -1, -1), (10, -2, -1, -2), (13, -2, -2, -2))\n",
      "[-127.8755285338591, 103.29856499701532, 916.9848511321804]\n",
      "1\n",
      "None\n",
      "[-127.8755285338591, 103.29856499701532, 916.9848511321804]\n",
      "((7, -2, -1, -1), (10, -2, -1, -2), (13, -2, -2, -2))\n",
      "((7, -2, -1, -1), (14, -3, -2, -2), (13, -2, -2, -2))\n",
      "[-127.8755285338591, 215.02985026679312, 916.9848511321804]\n",
      "1\n",
      "500.0\n",
      "[-127.8755285338591, 215.02985026679312, 916.9848511321804]\n",
      "((7, -2, -1, -1), (14, -3, -2, -2), (13, -2, -2, -2))\n",
      "((7, -2, -1, -1), (5, -2, 0, -1), (13, -2, -2, -2))\n",
      "[-627.8755285338591, -241.56181466902467, 416.98485113218044]\n",
      "2\n",
      "700.0\n",
      "[-627.8755285338591, -241.56181466902467, 416.98485113218044]\n",
      "((7, -2, -1, -1), (5, -2, 0, -1), (13, -2, -2, -2))\n",
      "((7, -2, -1, -1), (5, -2, 0, -1), (3, -2, 0, 0))\n",
      "[-1327.875528533859, -941.5618146690247, 27.26409180010012]\n",
      "0\n",
      "-1100.0\n",
      "[-1327.875528533859, -941.5618146690247, 27.26409180010012]\n",
      "((7, -2, -1, -1), (5, -2, 0, -1), (3, -2, 0, 0))\n",
      "((2, -2, 0, 0), (5, -2, 0, -1), (3, -2, 0, 0))\n",
      "[-72.73590819989954, 158.43818533097533, 1127.2640918001002]\n",
      "0\n",
      "-100.0\n",
      "[-72.73590819989954, 158.43818533097533, 1127.2640918001002]\n",
      "((2, -2, 0, 0), (5, -2, 0, -1), (3, -2, 0, 0))\n",
      "((7, -2, -1, -1), (5, -2, 0, -1), (3, -2, 0, 0))\n",
      "[-127.8755285338591, 258.43818533097533, 1227.2640918001002]\n",
      "1\n",
      "500.0\n",
      "[-127.8755285338591, 258.43818533097533, 1227.2640918001002]\n",
      "((7, -2, -1, -1), (5, -2, 0, -1), (3, -2, 0, 0))\n",
      "((7, -2, -1, -1), (4, -3, 0, 0), (3, -2, 0, 0))\n",
      "[-627.8755285338591, 25.3090909347128, 727.2640918001002]\n",
      "2\n",
      "800.0\n",
      "[-627.8755285338591, 25.3090909347128, 727.2640918001002]\n",
      "((7, -2, -1, -1), (4, -3, 0, 0), (3, -2, 0, 0))\n",
      "((7, -2, -1, -1), (4, -3, 0, 0), (11, -2, -1, -2))\n",
      "[-1427.875528533859, -774.6909090652872, 3.2985649970155464]\n",
      "2\n",
      "-100.0\n",
      "[-1427.875528533859, -774.6909090652872, 3.2985649970155464]\n",
      "((7, -2, -1, -1), (4, -3, 0, 0), (11, -2, -1, -2))\n",
      "((7, -2, -1, -1), (4, -3, 0, 0), (3, -2, 0, 0))\n",
      "[-1327.875528533859, -674.6909090652872, 27.264091800100232]\n",
      "1\n",
      "-900.0\n",
      "[-1327.875528533859, -674.6909090652872, 27.264091800100232]\n",
      "((7, -2, -1, -1), (4, -3, 0, 0), (3, -2, 0, 0))\n",
      "((7, -2, -1, -1), (0, -2, 1, 0), (3, -2, 0, 0))\n",
      "[-427.8755285338591, 113.57780566493511, 927.2640918001002]\n",
      "1\n",
      "-100.0\n",
      "[-427.8755285338591, 113.57780566493511, 927.2640918001002]\n",
      "((7, -2, -1, -1), (0, -2, 1, 0), (3, -2, 0, 0))\n",
      "((7, -2, -1, -1), (9, -3, -1, -1), (3, -2, 0, 0))\n",
      "[-327.8755285338591, 170.16947060075313, 1027.2640918001002]\n",
      "0\n",
      "None\n",
      "[-327.8755285338591, 170.16947060075313, 1027.2640918001002]\n",
      "((7, -2, -1, -1), (9, -3, -1, -1), (3, -2, 0, 0))\n",
      "((-1, -2, 0, 1), (9, -3, -1, -1), (3, -2, 0, 0))\n",
      "[-403.91000173077487, 170.16947060075313, 1027.2640918001002]\n",
      "0\n",
      "None\n",
      "[-403.91000173077487, 170.16947060075313, 1027.2640918001002]\n",
      "((-1, -2, 0, 1), (9, -3, -1, -1), (3, -2, 0, 0))\n",
      "((7, -2, -1, -1), (9, -3, -1, -1), (3, -2, 0, 0))\n",
      "[-327.8755285338591, 170.16947060075313, 1027.2640918001002]\n",
      "0\n",
      "None\n",
      "[-327.8755285338591, 170.16947060075313, 1027.2640918001002]\n",
      "((7, -2, -1, -1), (9, -3, -1, -1), (3, -2, 0, 0))\n",
      "((-1, -2, 0, 1), (9, -3, -1, -1), (3, -2, 0, 0))\n",
      "[-403.91000173077487, 170.16947060075313, 1027.2640918001002]\n",
      "0\n",
      "None\n",
      "[-403.91000173077487, 170.16947060075313, 1027.2640918001002]\n",
      "((-1, -2, 0, 1), (9, -3, -1, -1), (3, -2, 0, 0))\n",
      "((7, -2, -1, -1), (9, -3, -1, -1), (3, -2, 0, 0))\n",
      "[-327.8755285338591, 170.16947060075313, 1027.2640918001002]\n",
      "0\n",
      "-400.0\n",
      "[-327.8755285338591, 170.16947060075313, 1027.2640918001002]\n",
      "((7, -2, -1, -1), (9, -3, -1, -1), (3, -2, 0, 0))\n",
      "((-1, -2, 0, 1), (9, -3, -1, -1), (3, -2, 0, 0))\n",
      "[-3.910001730774866, 570.1694706007531, 1427.2640918001002]\n",
      "1\n",
      "None\n",
      "[-3.910001730774866, 570.1694706007531, 1427.2640918001002]\n",
      "((-1, -2, 0, 1), (9, -3, -1, -1), (3, -2, 0, 0))\n",
      "((-1, -2, 0, 1), (0, -2, 1, 0), (3, -2, 0, 0))\n",
      "[-3.910001730774866, 613.5778056649351, 1427.2640918001002]\n",
      "0\n",
      "-100.0\n",
      "[-3.910001730774866, 613.5778056649351, 1427.2640918001002]\n",
      "((-1, -2, 0, 1), (0, -2, 1, 0), (3, -2, 0, 0))\n",
      "((1, -3, 1, 0), (0, -2, 1, 0), (3, -2, 0, 0))\n",
      "[11.622804799547794, 713.5778056649351, 1527.2640918001002]\n",
      "1\n",
      "None\n",
      "[11.622804799547794, 713.5778056649351, 1527.2640918001002]\n",
      "((1, -3, 1, 0), (0, -2, 1, 0), (3, -2, 0, 0))\n",
      "((1, -3, 1, 0), (4, -3, 0, 0), (3, -2, 0, 0))\n",
      "[11.622804799547794, 825.3090909347128, 1527.2640918001002]\n",
      "1\n",
      "None\n",
      "[11.622804799547794, 825.3090909347128, 1527.2640918001002]\n",
      "((1, -3, 1, 0), (4, -3, 0, 0), (3, -2, 0, 0))\n",
      "((1, -3, 1, 0), (0, -2, 1, 0), (3, -2, 0, 0))\n",
      "[11.622804799547794, 713.5778056649351, 1527.2640918001002]\n",
      "2\n",
      "None\n",
      "[11.622804799547794, 713.5778056649351, 1527.2640918001002]\n",
      "((1, -3, 1, 0), (0, -2, 1, 0), (3, -2, 0, 0))\n",
      "((1, -3, 1, 0), (0, -2, 1, 0), (0, -3, 2, 0))\n",
      "[11.622804799547794, 713.5778056649351, 1597.9365186643824]\n",
      "1\n",
      "800.0\n",
      "[11.622804799547794, 713.5778056649351, 1597.9365186643824]\n",
      "((1, -3, 1, 0), (0, -2, 1, 0), (0, -3, 2, 0))\n",
      "((1, -3, 1, 0), (-3, -3, 3, 0), (0, -3, 2, 0))\n",
      "[-788.3771952004522, -15.749767470782672, 797.9365186643824]\n",
      "2\n",
      "None\n",
      "[-788.3771952004522, -15.749767470782672, 797.9365186643824]\n",
      "((1, -3, 1, 0), (-3, -3, 3, 0), (0, -3, 2, 0))\n",
      "((1, -3, 1, 0), (-3, -3, 3, 0), (-4, -2, 3, 0))\n",
      "[-788.3771952004522, -15.749767470782672, 686.2052333946046]\n",
      "2\n",
      "None\n",
      "[-788.3771952004522, -15.749767470782672, 686.2052333946046]\n",
      "((1, -3, 1, 0), (-3, -3, 3, 0), (-4, -2, 3, 0))\n",
      "((1, -3, 1, 0), (-3, -3, 3, 0), (5, -3, 1, -1))\n",
      "[-788.3771952004522, -15.749767470782672, 642.7968983304227]\n",
      "2\n",
      "500.0\n",
      "[-788.3771952004522, -15.749767470782672, 642.7968983304227]\n",
      "((1, -3, 1, 0), (-3, -3, 3, 0), (5, -3, 1, -1))\n",
      "((1, -3, 1, 0), (-3, -3, 3, 0), (-1, -4, 3, 0))\n",
      "[-1288.3771952004522, -515.7497674707827, -17.704768336170105]\n",
      "2\n",
      "-100.0\n",
      "[-1288.3771952004522, -515.7497674707827, -17.704768336170105]\n",
      "((1, -3, 1, 0), (-3, -3, 3, 0), (-1, -4, 3, 0))\n",
      "((1, -3, 1, 0), (-3, -3, 3, 0), (-5, -3, 4, 0))\n",
      "[-1188.3771952004522, -415.7497674707827, -29.436053605948075]\n",
      "1\n",
      "None\n",
      "[-1188.3771952004522, -415.7497674707827, -29.436053605948075]\n",
      "((1, -3, 1, 0), (-3, -3, 3, 0), (-5, -3, 4, 0))\n",
      "((1, -3, 1, 0), (4, -3, 0, 0), (-5, -3, 4, 0))\n",
      "[-1188.3771952004522, -374.6909090652872, -29.436053605948075]\n",
      "1\n",
      "None\n",
      "[-1188.3771952004522, -374.6909090652872, -29.436053605948075]\n",
      "((1, -3, 1, 0), (4, -3, 0, 0), (-5, -3, 4, 0))\n",
      "((1, -3, 1, 0), (-3, -3, 3, 0), (-5, -3, 4, 0))\n",
      "[-1188.3771952004522, -415.7497674707827, -29.436053605948075]\n",
      "1\n",
      "None\n",
      "[-1188.3771952004522, -415.7497674707827, -29.436053605948075]\n",
      "((1, -3, 1, 0), (-3, -3, 3, 0), (-5, -3, 4, 0))\n",
      "((1, -3, 1, 0), (4, -3, 0, 0), (-5, -3, 4, 0))\n",
      "[-1188.3771952004522, -374.6909090652872, -29.436053605948075]\n",
      "1\n",
      "None\n",
      "[-1188.3771952004522, -374.6909090652872, -29.436053605948075]\n",
      "((1, -3, 1, 0), (4, -3, 0, 0), (-5, -3, 4, 0))\n",
      "((1, -3, 1, 0), (-3, -3, 3, 0), (-5, -3, 4, 0))\n",
      "[-1188.3771952004522, -415.7497674707827, -29.436053605948075]\n",
      "0\n",
      "None\n",
      "[-1188.3771952004522, -415.7497674707827, -29.436053605948075]\n",
      "((1, -3, 1, 0), (-3, -3, 3, 0), (-5, -3, 4, 0))\n",
      "((-6, -3, 4, 0), (-3, -3, 3, 0), (-5, -3, 4, 0))\n",
      "[-1229.4360536059478, -415.7497674707827, -29.436053605948075]\n",
      "1\n",
      "-200.0\n",
      "[-1229.4360536059478, -415.7497674707827, -29.436053605948075]\n",
      "((-6, -3, 4, 0), (-3, -3, 3, 0), (-5, -3, 4, 0))\n",
      "((-6, -3, 4, 0), (-8, -3, 4, 1), (-5, -3, 4, 0))\n",
      "[-1029.4360536059478, -60.61014713682334, 170.56394639405192]\n",
      "0\n",
      "None\n",
      "[-1029.4360536059478, -60.61014713682334, 170.56394639405192]\n",
      "((-6, -3, 4, 0), (-8, -3, 4, 1), (-5, -3, 4, 0))\n",
      "((-11, -3, 5, 1), (-8, -3, 4, 1), (-5, -3, 4, 0))\n",
      "[-874.2964332719882, -60.61014713682334, 170.56394639405192]\n",
      "0\n",
      "-700.0\n",
      "[-874.2964332719882, -60.61014713682334, 170.56394639405192]\n",
      "((-11, -3, 5, 1), (-8, -3, 4, 1), (-5, -3, 4, 0))\n",
      "((-7, -4, 4, 1), (-8, -3, 4, 1), (-5, -3, 4, 0))\n",
      "[-62.565148002210435, 639.3898528631767, 870.563946394052]\n",
      "2\n",
      "None\n",
      "[-62.565148002210435, 639.3898528631767, 870.563946394052]\n",
      "((-7, -4, 4, 1), (-8, -3, 4, 1), (-5, -3, 4, 0))\n",
      "((-7, -4, 4, 1), (-8, -3, 4, 1), (-9, -4, 4, 2))\n",
      "[-62.565148002210435, 639.3898528631767, 906.2607584669145]\n",
      "1\n",
      "None\n",
      "[-62.565148002210435, 639.3898528631767, 906.2607584669145]\n",
      "((-7, -4, 4, 1), (-8, -3, 4, 1), (-9, -4, 4, 2))\n",
      "((-7, -4, 4, 1), (-12, -4, 4, 3), (-9, -4, 4, 2))\n",
      "[-62.565148002210435, 675.0866649360393, 906.2607584669145]\n",
      "2\n",
      "None\n",
      "[-62.565148002210435, 675.0866649360393, 906.2607584669145]\n",
      "((-7, -4, 4, 1), (-12, -4, 4, 3), (-9, -4, 4, 2))\n",
      "((-7, -4, 4, 1), (-12, -4, 4, 3), (-4, -4, 3, 1))\n",
      "[-62.565148002210435, 675.0866649360393, 751.1211381329548]\n",
      "1\n",
      "None\n",
      "[-62.565148002210435, 675.0866649360393, 751.1211381329548]\n",
      "((-7, -4, 4, 1), (-12, -4, 4, 3), (-4, -4, 3, 1))\n",
      "((-7, -4, 4, 1), (-8, -3, 4, 1), (-4, -4, 3, 1))\n",
      "[-62.565148002210435, 639.3898528631767, 751.1211381329548]\n",
      "2\n",
      "None\n",
      "[-62.565148002210435, 639.3898528631767, 751.1211381329548]\n",
      "((-7, -4, 4, 1), (-8, -3, 4, 1), (-4, -4, 3, 1))\n",
      "((-7, -4, 4, 1), (-8, -3, 4, 1), (-5, -3, 4, 0))\n",
      "[-62.565148002210435, 639.3898528631767, 870.563946394052]\n",
      "1\n",
      "500.0\n",
      "[-62.565148002210435, 639.3898528631767, 870.563946394052]\n",
      "((-7, -4, 4, 1), (-8, -3, 4, 1), (-5, -3, 4, 0))\n",
      "((-7, -4, 4, 1), (-3, -3, 3, 0), (-5, -3, 4, 0))\n",
      "[-562.5651480022104, -15.749767470782672, 370.563946394052]\n",
      "2\n",
      "None\n",
      "[-562.5651480022104, -15.749767470782672, 370.563946394052]\n",
      "((-7, -4, 4, 1), (-3, -3, 3, 0), (-5, -3, 4, 0))\n",
      "((-7, -4, 4, 1), (-3, -3, 3, 0), (-9, -4, 4, 2))\n",
      "[-562.5651480022104, -15.749767470782672, 406.26075846691447]\n",
      "2\n",
      "700.0\n",
      "[-562.5651480022104, -15.749767470782672, 406.26075846691447]\n",
      "((-7, -4, 4, 1), (-3, -3, 3, 0), (-9, -4, 4, 2))\n",
      "((-7, -4, 4, 1), (-3, -3, 3, 0), (-4, -2, 3, 0))\n",
      "[-1262.5651480022104, -715.7497674707827, -13.794766605395353]\n",
      "0\n",
      "None\n",
      "[-1262.5651480022104, -715.7497674707827, -13.794766605395353]\n",
      "((-7, -4, 4, 1), (-3, -3, 3, 0), (-4, -2, 3, 0))\n",
      "((-5, -2, 3, 0), (-3, -3, 3, 0), (-4, -2, 3, 0))\n",
      "[-1213.7947666053954, -715.7497674707827, -13.794766605395353]\n",
      "0\n",
      "None\n",
      "[-1213.7947666053954, -715.7497674707827, -13.794766605395353]\n",
      "((-5, -2, 3, 0), (-3, -3, 3, 0), (-4, -2, 3, 0))\n",
      "((-1, -3, 2, 0), (-3, -3, 3, 0), (-4, -2, 3, 0))\n",
      "[-1102.0634813356176, -715.7497674707827, -13.794766605395353]\n",
      "0\n",
      "None\n",
      "[-1102.0634813356176, -715.7497674707827, -13.794766605395353]\n",
      "((-1, -3, 2, 0), (-3, -3, 3, 0), (-4, -2, 3, 0))\n",
      "((-5, -2, 3, 0), (-3, -3, 3, 0), (-4, -2, 3, 0))\n",
      "[-1213.7947666053954, -715.7497674707827, -13.794766605395353]\n",
      "0\n",
      "-1000.0\n",
      "[-1213.7947666053954, -715.7497674707827, -13.794766605395353]\n",
      "((-5, -2, 3, 0), (-3, -3, 3, 0), (-4, -2, 3, 0))\n",
      "((-2, -2, 3, -1), (-3, -3, 3, 0), (-4, -2, 3, 0))\n",
      "[17.379326925479518, 284.2502325292173, 986.2052333946046]\n",
      "0\n",
      "-200.0\n",
      "[17.379326925479518, 284.2502325292173, 986.2052333946046]\n",
      "((-2, -2, 3, -1), (-3, -3, 3, 0), (-4, -2, 3, 0))\n",
      "((-5, -2, 3, 0), (-3, -3, 3, 0), (-4, -2, 3, 0))\n",
      "[-13.794766605395353, 484.2502325292173, 1186.2052333946046]\n",
      "2\n",
      "None\n",
      "[-13.794766605395353, 484.2502325292173, 1186.2052333946046]\n",
      "((-5, -2, 3, 0), (-3, -3, 3, 0), (-4, -2, 3, 0))\n",
      "((-5, -2, 3, 0), (-3, -3, 3, 0), (0, -3, 2, 0))\n",
      "[-13.794766605395353, 484.2502325292173, 1297.9365186643824]\n",
      "2\n",
      "None\n",
      "[-13.794766605395353, 484.2502325292173, 1297.9365186643824]\n",
      "((-5, -2, 3, 0), (-3, -3, 3, 0), (0, -3, 2, 0))\n",
      "((-5, -2, 3, 0), (-3, -3, 3, 0), (-4, -2, 3, 0))\n",
      "[-13.794766605395353, 484.2502325292173, 1186.2052333946046]\n",
      "2\n",
      "None\n",
      "[-13.794766605395353, 484.2502325292173, 1186.2052333946046]\n",
      "((-5, -2, 3, 0), (-3, -3, 3, 0), (-4, -2, 3, 0))\n",
      "((-5, -2, 3, 0), (-3, -3, 3, 0), (0, -3, 2, 0))\n",
      "[-13.794766605395353, 484.2502325292173, 1297.9365186643824]\n",
      "2\n",
      "1400.0\n",
      "[-13.794766605395353, 484.2502325292173, 1297.9365186643824]\n",
      "((-5, -2, 3, 0), (-3, -3, 3, 0), (0, -3, 2, 0))\n",
      "((-5, -2, 3, 0), (-3, -3, 3, 0), (-1, -2, 3, -1))\n",
      "[-1413.7947666053954, -915.7497674707827, 17.379326925479518]\n",
      "0\n",
      "-1300.0\n",
      "[-1413.7947666053954, -915.7497674707827, 17.379326925479518]\n",
      "((-5, -2, 3, 0), (-3, -3, 3, 0), (-1, -2, 3, -1))\n",
      "((-1, -3, 2, 0), (-3, -3, 3, 0), (-1, -2, 3, -1))\n",
      "[-2.0634813356175528, 384.2502325292173, 1317.3793269254795]\n",
      "1\n",
      "None\n",
      "[-2.0634813356175528, 384.2502325292173, 1317.3793269254795]\n",
      "((-1, -3, 2, 0), (-3, -3, 3, 0), (-1, -2, 3, -1))\n",
      "((-1, -3, 2, 0), (1, -2, 3, -2), (-1, -2, 3, -1))\n",
      "[-2.0634813356175528, 348.5534204563545, 1317.3793269254795]\n",
      "1\n",
      "None\n",
      "[-2.0634813356175528, 348.5534204563545, 1317.3793269254795]\n",
      "((-1, -3, 2, 0), (1, -2, 3, -2), (-1, -2, 3, -1))\n",
      "((-1, -3, 2, 0), (-3, -3, 3, 0), (-1, -2, 3, -1))\n",
      "[-2.0634813356175528, 384.2502325292173, 1317.3793269254795]\n",
      "1\n",
      "None\n",
      "[-2.0634813356175528, 384.2502325292173, 1317.3793269254795]\n",
      "((-1, -3, 2, 0), (-3, -3, 3, 0), (-1, -2, 3, -1))\n",
      "((-1, -3, 2, 0), (1, -2, 3, -2), (-1, -2, 3, -1))\n",
      "[-2.0634813356175528, 348.5534204563545, 1317.3793269254795]\n",
      "1\n",
      "None\n",
      "[-2.0634813356175528, 348.5534204563545, 1317.3793269254795]\n",
      "((-1, -3, 2, 0), (1, -2, 3, -2), (-1, -2, 3, -1))\n",
      "((-1, -3, 2, 0), (-3, -3, 3, 0), (-1, -2, 3, -1))\n",
      "[-2.0634813356175528, 384.2502325292173, 1317.3793269254795]\n",
      "1\n",
      "500.0\n",
      "[-2.0634813356175528, 384.2502325292173, 1317.3793269254795]\n",
      "((-1, -3, 2, 0), (-3, -3, 3, 0), (-1, -2, 3, -1))\n",
      "((-1, -3, 2, 0), (1, -4, 2, 0), (-1, -2, 3, -1))\n",
      "[-502.06348133561755, -4.018482201005099, 817.3793269254795]\n",
      "2\n",
      "600.0\n",
      "[-502.06348133561755, -4.018482201005099, 817.3793269254795]\n",
      "((-1, -3, 2, 0), (1, -4, 2, 0), (-1, -2, 3, -1))\n",
      "((-1, -3, 2, 0), (1, -4, 2, 0), (0, -3, 2, 0))\n",
      "[-1102.0634813356176, -604.0184822010051, 97.93651866438233]\n",
      "1\n",
      "-1000.0\n",
      "[-1102.0634813356176, -604.0184822010051, 97.93651866438233]\n",
      "((-1, -3, 2, 0), (1, -4, 2, 0), (0, -3, 2, 0))\n",
      "((-1, -3, 2, 0), (2, -3, 2, -1), (0, -3, 2, 0))\n",
      "[-102.06348133561755, 129.11061219525686, 1097.9365186643822]\n",
      "0\n",
      "-500.0\n",
      "[-102.06348133561755, 129.11061219525686, 1097.9365186643822]\n",
      "((-1, -3, 2, 0), (2, -3, 2, -1), (0, -3, 2, 0))\n",
      "((1, -3, 1, 0), (2, -3, 2, -1), (0, -3, 2, 0))\n",
      "[11.622804799547794, 629.1106121952569, 1597.9365186643822]\n",
      "1\n",
      "1000.0\n",
      "[11.622804799547794, 629.1106121952569, 1597.9365186643822]\n",
      "((1, -3, 1, 0), (2, -3, 2, -1), (0, -3, 2, 0))\n",
      "((1, -3, 1, 0), (-1, -3, 1, 1), (0, -3, 2, 0))\n",
      "[-988.3771952004522, -19.551288731327418, 597.9365186643822]\n",
      "2\n",
      "600.0\n",
      "[-988.3771952004522, -19.551288731327418, 597.9365186643822]\n",
      "((1, -3, 1, 0), (-1, -3, 1, 1), (0, -3, 2, 0))\n",
      "((1, -3, 1, 0), (-1, -3, 1, 1), (-2, -2, 1, 1))\n",
      "[-1588.3771952004522, -619.5512887313274, 82.40371213406013]\n",
      "2\n",
      "-400.0\n",
      "[-1588.3771952004522, -619.5512887313274, 82.40371213406013]\n",
      "((1, -3, 1, 0), (-1, -3, 1, 1), (-2, -2, 1, 1))\n",
      "((1, -3, 1, 0), (-1, -3, 1, 1), (2, -3, 1, 0))\n",
      "[-1188.3771952004522, -219.55128873132742, 11.62280479954751]\n",
      "1\n",
      "None\n",
      "[-1188.3771952004522, -219.55128873132742, 11.62280479954751]\n",
      "((1, -3, 1, 0), (-1, -3, 1, 1), (2, -3, 1, 0))\n",
      "((1, -3, 1, 0), (4, -3, 0, 0), (2, -3, 1, 0))\n",
      "[-1188.3771952004522, -374.6909090652872, 11.62280479954751]\n",
      "1\n",
      "None\n",
      "[-1188.3771952004522, -374.6909090652872, 11.62280479954751]\n",
      "((1, -3, 1, 0), (4, -3, 0, 0), (2, -3, 1, 0))\n",
      "((1, -3, 1, 0), (0, -2, 1, 0), (2, -3, 1, 0))\n",
      "[-1188.3771952004522, -486.4221943350649, 11.62280479954751]\n",
      "1\n",
      "-400.0\n",
      "[-1188.3771952004522, -486.4221943350649, 11.62280479954751]\n",
      "((1, -3, 1, 0), (0, -2, 1, 0), (2, -3, 1, 0))\n",
      "((1, -3, 1, 0), (4, -3, 0, 0), (2, -3, 1, 0))\n",
      "[-788.3771952004522, 25.3090909347128, 411.6228047995475]\n",
      "2\n",
      "None\n",
      "[-788.3771952004522, 25.3090909347128, 411.6228047995475]\n",
      "((1, -3, 1, 0), (4, -3, 0, 0), (2, -3, 1, 0))\n",
      "((1, -3, 1, 0), (4, -3, 0, 0), (6, -4, 0, 0))\n",
      "[-788.3771952004522, 25.3090909347128, 523.3540900693253]\n",
      "2\n",
      "None\n",
      "[-788.3771952004522, 25.3090909347128, 523.3540900693253]\n",
      "((1, -3, 1, 0), (4, -3, 0, 0), (6, -4, 0, 0))\n",
      "((1, -3, 1, 0), (4, -3, 0, 0), (2, -3, 1, 0))\n",
      "[-788.3771952004522, 25.3090909347128, 411.6228047995475]\n",
      "1\n",
      "-200.0\n",
      "[-788.3771952004522, 25.3090909347128, 411.6228047995475]\n",
      "((1, -3, 1, 0), (4, -3, 0, 0), (2, -3, 1, 0))\n",
      "((1, -3, 1, 0), (0, -2, 1, 0), (2, -3, 1, 0))\n",
      "[-588.3771952004522, 113.57780566493511, 611.6228047995476]\n",
      "2\n",
      "1100.0\n",
      "[-588.3771952004522, 113.57780566493511, 611.6228047995476]\n",
      "((1, -3, 1, 0), (0, -2, 1, 0), (2, -3, 1, 0))\n",
      "((1, -3, 1, 0), (0, -2, 1, 0), (-2, -2, 1, 1))\n",
      "[-1688.3771952004522, -986.4221943350649, -17.596287865939757]\n",
      "0\n",
      "None\n",
      "[-1688.3771952004522, -986.4221943350649, -17.596287865939757]\n",
      "((1, -3, 1, 0), (0, -2, 1, 0), (-2, -2, 1, 1))\n",
      "((-5, -1, 1, 1), (0, -2, 1, 0), (-2, -2, 1, 1))\n",
      "[-1715.6412870005524, -986.4221943350649, -17.596287865939757]\n",
      "0\n",
      "None\n",
      "[-1715.6412870005524, -986.4221943350649, -17.596287865939757]\n",
      "((-5, -1, 1, 1), (0, -2, 1, 0), (-2, -2, 1, 1))\n",
      "((1, -3, 1, 0), (0, -2, 1, 0), (-2, -2, 1, 1))\n",
      "[-1688.3771952004522, -986.4221943350649, -17.596287865939757]\n",
      "0\n",
      "None\n",
      "[-1688.3771952004522, -986.4221943350649, -17.596287865939757]\n",
      "((1, -3, 1, 0), (0, -2, 1, 0), (-2, -2, 1, 1))\n",
      "((-5, -1, 1, 1), (0, -2, 1, 0), (-2, -2, 1, 1))\n",
      "[-1715.6412870005524, -986.4221943350649, -17.596287865939757]\n",
      "0\n",
      "-1200.0\n",
      "[-1715.6412870005524, -986.4221943350649, -17.596287865939757]\n",
      "((-5, -1, 1, 1), (0, -2, 1, 0), (-2, -2, 1, 1))\n",
      "((-3, -2, 1, 1), (0, -2, 1, 0), (-2, -2, 1, 1))\n",
      "[-17.59628786593953, 213.5778056649351, 1182.4037121340602]\n",
      "2\n",
      "None\n",
      "[-17.59628786593953, 213.5778056649351, 1182.4037121340602]\n",
      "((-3, -2, 1, 1), (0, -2, 1, 0), (-2, -2, 1, 1))\n",
      "((-3, -2, 1, 1), (0, -2, 1, 0), (3, -2, 0, 0))\n",
      "[-17.59628786593953, 213.5778056649351, 1027.2640918001002]\n",
      "2\n",
      "None\n",
      "[-17.59628786593953, 213.5778056649351, 1027.2640918001002]\n",
      "((-3, -2, 1, 1), (0, -2, 1, 0), (3, -2, 0, 0))\n",
      "((-3, -2, 1, 1), (0, -2, 1, 0), (-1, -1, 1, 0))\n",
      "[-17.59628786593953, 213.5778056649351, 915.5328065303224]\n",
      "2\n",
      "None\n",
      "[-17.59628786593953, 213.5778056649351, 915.5328065303224]\n",
      "((-3, -2, 1, 1), (0, -2, 1, 0), (-1, -1, 1, 0))\n",
      "((-3, -2, 1, 1), (0, -2, 1, 0), (-5, -2, 1, 2))\n",
      "[-17.59628786593953, 213.5778056649351, 951.2296186031851]\n",
      "0\n",
      "None\n",
      "[-17.59628786593953, 213.5778056649351, 951.2296186031851]\n",
      "((-3, -2, 1, 1), (0, -2, 1, 0), (-5, -2, 1, 2))\n",
      "((2, -2, 0, 0), (0, -2, 1, 0), (-5, -2, 1, 2))\n",
      "[-172.73590819989954, 213.5778056649351, 951.2296186031851]\n",
      "2\n",
      "1000.0\n",
      "[-172.73590819989954, 213.5778056649351, 951.2296186031851]\n",
      "((2, -2, 0, 0), (0, -2, 1, 0), (-5, -2, 1, 2))\n",
      "((2, -2, 0, 0), (0, -2, 1, 0), (3, -2, 0, 0))\n",
      "[-1172.7359081998995, -786.4221943350649, 27.264091800100232]\n",
      "0\n",
      "None\n",
      "[-1172.7359081998995, -786.4221943350649, 27.264091800100232]\n",
      "((2, -2, 0, 0), (0, -2, 1, 0), (3, -2, 0, 0))\n",
      "((-2, -1, 1, 0), (0, -2, 1, 0), (3, -2, 0, 0))\n",
      "[-1284.4671934696776, -786.4221943350649, 27.264091800100232]\n",
      "0\n",
      "-1200.0\n",
      "[-1284.4671934696776, -786.4221943350649, 27.264091800100232]\n",
      "((-2, -1, 1, 0), (0, -2, 1, 0), (3, -2, 0, 0))\n",
      "((2, -2, 0, 0), (0, -2, 1, 0), (3, -2, 0, 0))\n",
      "[27.26409180010046, 413.5778056649351, 1227.2640918001002]\n",
      "0\n",
      "-200.0\n",
      "[27.26409180010046, 413.5778056649351, 1227.2640918001002]\n",
      "((2, -2, 0, 0), (0, -2, 1, 0), (3, -2, 0, 0))\n",
      "((-1, -2, 0, 1), (0, -2, 1, 0), (3, -2, 0, 0))\n",
      "[-3.910001730774866, 613.5778056649351, 1427.2640918001002]\n",
      "2\n",
      "1200.0\n",
      "[-3.910001730774866, 613.5778056649351, 1427.2640918001002]\n",
      "((-1, -2, 0, 1), (0, -2, 1, 0), (3, -2, 0, 0))\n",
      "((-1, -2, 0, 1), (0, -2, 1, 0), (-1, -1, 1, 0))\n",
      "[-1203.9100017307749, -586.4221943350649, 115.53280653032243]\n",
      "0\n",
      "-900.0\n",
      "[-1203.9100017307749, -586.4221943350649, 115.53280653032243]\n",
      "((-1, -2, 0, 1), (0, -2, 1, 0), (-1, -1, 1, 0))\n",
      "((-2, -1, 1, 0), (0, -2, 1, 0), (-1, -1, 1, 0))\n",
      "[-184.46719346967757, 313.5778056649351, 1015.5328065303224]\n",
      "0\n",
      "100.0\n",
      "[-184.46719346967757, 313.5778056649351, 1015.5328065303224]\n",
      "((-2, -1, 1, 0), (0, -2, 1, 0), (-1, -1, 1, 0))\n",
      "((-3, -2, 1, 1), (0, -2, 1, 0), (-1, -1, 1, 0))\n",
      "[-17.59628786593953, 213.5778056649351, 915.5328065303224]\n",
      "0\n",
      "-100.0\n",
      "[-17.59628786593953, 213.5778056649351, 915.5328065303224]\n",
      "((-3, -2, 1, 1), (0, -2, 1, 0), (-1, -1, 1, 0))\n",
      "((1, -1, 1, -1), (0, -2, 1, 0), (-1, -1, 1, 0))\n",
      "[46.70690006119776, 313.5778056649351, 1015.5328065303224]\n",
      "1\n",
      "None\n",
      "[46.70690006119776, 313.5778056649351, 1015.5328065303224]\n",
      "((1, -1, 1, -1), (0, -2, 1, 0), (-1, -1, 1, 0))\n",
      "((1, -1, 1, -1), (4, -1, 1, -2), (-1, -1, 1, 0))\n",
      "[46.70690006119776, 277.8809935920724, 1015.5328065303224]\n",
      "1\n",
      "None\n",
      "[46.70690006119776, 277.8809935920724, 1015.5328065303224]\n",
      "((1, -1, 1, -1), (4, -1, 1, -2), (-1, -1, 1, 0))\n",
      "((1, -1, 1, -1), (0, -2, 1, 0), (-1, -1, 1, 0))\n",
      "[46.70690006119776, 313.5778056649351, 1015.5328065303224]\n",
      "1\n",
      "500.0\n",
      "[46.70690006119776, 313.5778056649351, 1015.5328065303224]\n",
      "((1, -1, 1, -1), (0, -2, 1, 0), (-1, -1, 1, 0))\n",
      "((1, -1, 1, -1), (-3, 0, 1, 0), (-1, -1, 1, 0))\n",
      "[-453.29309993880224, 17.487807395709865, 515.5328065303224]\n",
      "1\n",
      "100.0\n",
      "[-453.29309993880224, 17.487807395709865, 515.5328065303224]\n",
      "((1, -1, 1, -1), (-3, 0, 1, 0), (-1, -1, 1, 0))\n",
      "((1, -1, 1, -1), (1, -1, 0, 0), (-1, -1, 1, 0))\n",
      "[-553.2930999388022, 29.21909266548755, 415.53280653032243]\n",
      "0\n",
      "-700.0\n",
      "[-553.2930999388022, 29.21909266548755, 415.53280653032243]\n",
      "((1, -1, 1, -1), (1, -1, 0, 0), (-1, -1, 1, 0))\n",
      "((2, -2, 0, 0), (1, -1, 0, 0), (-1, -1, 1, 0))\n",
      "[27.26409180010046, 729.2190926654876, 1115.5328065303224]\n",
      "1\n",
      "600.0\n",
      "[27.26409180010046, 729.2190926654876, 1115.5328065303224]\n",
      "((2, -2, 0, 0), (1, -1, 0, 0), (-1, -1, 1, 0))\n",
      "((2, -2, 0, 0), (-3, 0, 1, 0), (-1, -1, 1, 0))\n",
      "[-572.7359081998995, 17.487807395709865, 515.5328065303224]\n",
      "1\n",
      "-100.0\n",
      "[-572.7359081998995, 17.487807395709865, 515.5328065303224]\n",
      "((2, -2, 0, 0), (-3, 0, 1, 0), (-1, -1, 1, 0))\n",
      "((2, -2, 0, 0), (4, -3, 0, 0), (-1, -1, 1, 0))\n",
      "[-472.73590819989954, 25.3090909347128, 615.5328065303224]\n",
      "1\n",
      "100.0\n",
      "[-472.73590819989954, 25.3090909347128, 615.5328065303224]\n",
      "((2, -2, 0, 0), (4, -3, 0, 0), (-1, -1, 1, 0))\n",
      "((2, -2, 0, 0), (-3, 0, 1, 0), (-1, -1, 1, 0))\n",
      "[-572.7359081998995, 17.487807395709865, 515.5328065303224]\n",
      "1\n",
      "-100.0\n",
      "[-572.7359081998995, 17.487807395709865, 515.5328065303224]\n",
      "((2, -2, 0, 0), (-3, 0, 1, 0), (-1, -1, 1, 0))\n",
      "((2, -2, 0, 0), (4, -3, 0, 0), (-1, -1, 1, 0))\n",
      "[-472.73590819989954, 25.3090909347128, 615.5328065303224]\n",
      "0\n",
      "None\n",
      "[-472.73590819989954, 25.3090909347128, 615.5328065303224]\n",
      "((2, -2, 0, 0), (4, -3, 0, 0), (-1, -1, 1, 0))\n",
      "((1, -1, 1, -1), (4, -3, 0, 0), (-1, -1, 1, 0))\n",
      "[-353.29309993880224, 25.3090909347128, 615.5328065303224]\n",
      "1\n",
      "-200.0\n",
      "[-353.29309993880224, 25.3090909347128, 615.5328065303224]\n",
      "((1, -1, 1, -1), (4, -3, 0, 0), (-1, -1, 1, 0))\n",
      "((1, -1, 1, -1), (-4, -1, 2, 0), (-1, -1, 1, 0))\n",
      "[-153.29309993880224, 1.8465203951568583, 815.5328065303224]\n",
      "0\n",
      "None\n",
      "[-153.29309993880224, 1.8465203951568583, 815.5328065303224]\n",
      "((1, -1, 1, -1), (-4, -1, 2, 0), (-1, -1, 1, 0))\n",
      "((-7, -1, 2, 1), (-4, -1, 2, 0), (-1, -1, 1, 0))\n",
      "[-229.32757313571778, 1.8465203951568583, 815.5328065303224]\n",
      "2\n",
      "None\n",
      "[-229.32757313571778, 1.8465203951568583, 815.5328065303224]\n",
      "((-7, -1, 2, 1), (-4, -1, 2, 0), (-1, -1, 1, 0))\n",
      "((-7, -1, 2, 1), (-4, -1, 2, 0), (-9, -1, 2, 2))\n",
      "[-229.32757313571778, 1.8465203951568583, 739.4983333334069]\n",
      "1\n",
      "-100.0\n",
      "[-229.32757313571778, 1.8465203951568583, 739.4983333334069]\n",
      "((-7, -1, 2, 1), (-4, -1, 2, 0), (-9, -1, 2, 2))\n",
      "((-7, -1, 2, 1), (-12, -1, 3, 2), (-9, -1, 2, 2))\n",
      "[-129.32757313571778, 25.81204719824177, 839.4983333334069]\n",
      "0\n",
      "None\n",
      "[-129.32757313571778, 25.81204719824177, 839.4983333334069]\n",
      "((-7, -1, 2, 1), (-12, -1, 3, 2), (-9, -1, 2, 2))\n",
      "((-15, -1, 3, 3), (-12, -1, 3, 2), (-9, -1, 2, 2))\n",
      "[-205.36204633263287, 25.81204719824177, 839.4983333334069]\n",
      "1\n",
      "-200.0\n",
      "[-205.36204633263287, 25.81204719824177, 839.4983333334069]\n",
      "((-15, -1, 3, 3), (-12, -1, 3, 2), (-9, -1, 2, 2))\n",
      "((-15, -1, 3, 3), (-7, -1, 2, 1), (-9, -1, 2, 2))\n",
      "[-5.362046332632872, 70.67242686428199, 1039.498333333407]\n",
      "2\n",
      "None\n",
      "[-5.362046332632872, 70.67242686428199, 1039.498333333407]\n",
      "((-15, -1, 3, 3), (-7, -1, 2, 1), (-9, -1, 2, 2))\n",
      "((-15, -1, 3, 3), (-7, -1, 2, 1), (-17, -1, 3, 4))\n",
      "[-5.362046332632872, 70.67242686428199, 963.4638601364917]\n",
      "0\n",
      "100.0\n",
      "[-5.362046332632872, 70.67242686428199, 963.4638601364917]\n",
      "((-15, -1, 3, 3), (-7, -1, 2, 1), (-17, -1, 3, 4))\n",
      "((-10, -1, 2, 2), (-7, -1, 2, 1), (-17, -1, 3, 4))\n",
      "[-260.5016666665929, -29.327573135718012, 863.4638601364917]\n",
      "2\n",
      "None\n",
      "[-260.5016666665929, -29.327573135718012, 863.4638601364917]\n",
      "((-10, -1, 2, 2), (-7, -1, 2, 1), (-17, -1, 3, 4))\n",
      "((-10, -1, 2, 2), (-7, -1, 2, 1), (-9, -1, 2, 2))\n",
      "[-260.5016666665929, -29.327573135718012, 939.4983333334069]\n",
      "2\n",
      "None\n",
      "[-260.5016666665929, -29.327573135718012, 939.4983333334069]\n",
      "((-10, -1, 2, 2), (-7, -1, 2, 1), (-9, -1, 2, 2))\n",
      "((-10, -1, 2, 2), (-7, -1, 2, 1), (-4, -1, 1, 1))\n",
      "[-260.5016666665929, -29.327573135718012, 784.3587129994473]\n",
      "0\n",
      "-100.0\n",
      "[-260.5016666665929, -29.327573135718012, 784.3587129994473]\n",
      "((-10, -1, 2, 2), (-7, -1, 2, 1), (-4, -1, 1, 1))\n",
      "((-2, -1, 1, 0), (-7, -1, 2, 1), (-4, -1, 1, 1))\n",
      "[-84.46719346967757, 70.67242686428199, 884.3587129994473]\n",
      "2\n",
      "1300.0\n",
      "[-84.46719346967757, 70.67242686428199, 884.3587129994473]\n",
      "((-2, -1, 1, 0), (-7, -1, 2, 1), (-4, -1, 1, 1))\n",
      "((-2, -1, 1, 0), (-7, -1, 2, 1), (-9, -1, 2, 2))\n",
      "[-1384.4671934696776, -1229.327573135718, -260.5016666665931]\n",
      "2\n",
      "100.0\n",
      "[-1384.4671934696776, -1229.327573135718, -260.5016666665931]\n",
      "((-2, -1, 1, 0), (-7, -1, 2, 1), (-9, -1, 2, 2))\n",
      "((-2, -1, 1, 0), (-7, -1, 2, 1), (2, -1, 1, -1))\n",
      "[-1484.4671934696776, -1329.327573135718, -53.2930999388027]\n",
      "2\n",
      "-100.0\n",
      "[-1484.4671934696776, -1329.327573135718, -53.2930999388027]\n",
      "((-2, -1, 1, 0), (-7, -1, 2, 1), (2, -1, 1, -1))\n",
      "((-2, -1, 1, 0), (-7, -1, 2, 1), (-3, -1, 2, 0))\n",
      "[-1384.4671934696776, -1229.327573135718, 201.8465203951571]\n",
      "0\n",
      "-1500.0\n",
      "[-1384.4671934696776, -1229.327573135718, 201.8465203951571]\n",
      "((-2, -1, 1, 0), (-7, -1, 2, 1), (-3, -1, 2, 0))\n",
      "((-10, -1, 2, 2), (-7, -1, 2, 1), (-3, -1, 2, 0))\n",
      "[39.49833333340712, 270.672426864282, 1701.846520395157]\n",
      "2\n",
      "1400.0\n",
      "[39.49833333340712, 270.672426864282, 1701.846520395157]\n",
      "((-10, -1, 2, 2), (-7, -1, 2, 1), (-3, -1, 2, 0))\n",
      "((-10, -1, 2, 2), (-7, -1, 2, 1), (-6, -1, 2, 1))\n",
      "[-1360.5016666665929, -1129.327573135718, 70.67242686428199]\n",
      "0\n",
      "-1500.0\n",
      "[-1360.5016666665929, -1129.327573135718, 70.67242686428199]\n",
      "((-10, -1, 2, 2), (-7, -1, 2, 1), (-6, -1, 2, 1))\n",
      "((-5, -1, 1, 1), (-7, -1, 2, 1), (-6, -1, 2, 1))\n",
      "[-15.641287000552438, 370.672426864282, 1570.672426864282]\n",
      "1\n",
      "None\n",
      "[-15.641287000552438, 370.672426864282, 1570.672426864282]\n",
      "((-5, -1, 1, 1), (-7, -1, 2, 1), (-6, -1, 2, 1))\n",
      "((-5, -1, 1, 1), (-3, -2, 1, 1), (-6, -1, 2, 1))\n",
      "[-15.641287000552438, 482.40371213406024, 1570.672426864282]\n",
      "2\n",
      "1600.0\n",
      "[-15.641287000552438, 482.40371213406024, 1570.672426864282]\n",
      "((-5, -1, 1, 1), (-3, -2, 1, 1), (-6, -1, 2, 1))\n",
      "((-5, -1, 1, 1), (-3, -2, 1, 1), (-2, -2, 1, 1))\n",
      "[-1615.6412870005524, -1117.5962878659398, 82.40371213406002]\n",
      "2\n",
      "-100.0\n",
      "[-1615.6412870005524, -1117.5962878659398, 82.40371213406002]\n",
      "((-5, -1, 1, 1), (-3, -2, 1, 1), (-2, -2, 1, 1))\n",
      "((-5, -1, 1, 1), (-3, -2, 1, 1), (-6, -1, 2, 1))\n",
      "[-1515.6412870005524, -1017.5962878659398, 70.6724268642819]\n",
      "1\n",
      "None\n",
      "[-1515.6412870005524, -1017.5962878659398, 70.6724268642819]\n",
      "((-5, -1, 1, 1), (-3, -2, 1, 1), (-6, -1, 2, 1))\n",
      "((-5, -1, 1, 1), (-4, -1, 2, 0), (-6, -1, 2, 1))\n",
      "[-1515.6412870005524, -898.1534796048431, 70.6724268642819]\n",
      "2\n",
      "-200.0\n",
      "[-1515.6412870005524, -898.1534796048431, 70.6724268642819]\n",
      "((-5, -1, 1, 1), (-4, -1, 2, 0), (-6, -1, 2, 1))\n",
      "((-5, -1, 1, 1), (-4, -1, 2, 0), (-5, 0, 2, 0))\n",
      "[-1315.6412870005524, -698.1534796048431, 3.801521260544547]\n",
      "2\n",
      "-100.0\n",
      "[-1315.6412870005524, -698.1534796048431, 3.801521260544547]\n",
      "((-5, -1, 1, 1), (-4, -1, 2, 0), (-5, 0, 2, 0))\n",
      "((-5, -1, 1, 1), (-4, -1, 2, 0), (-2, -2, 2, 0))\n",
      "[-1215.6412870005524, -598.1534796048431, -100.10848047023043]\n",
      "1\n",
      "None\n",
      "[-1215.6412870005524, -598.1534796048431, -100.10848047023043]\n",
      "((-5, -1, 1, 1), (-4, -1, 2, 0), (-2, -2, 2, 0))\n",
      "((-5, -1, 1, 1), (-6, 0, 1, 1), (-2, -2, 2, 0))\n",
      "[-1215.6412870005524, -513.6862861351653, -100.10848047023043]\n",
      "0\n",
      "-1400.0\n",
      "[-1215.6412870005524, -513.6862861351653, -100.10848047023043]\n",
      "((-5, -1, 1, 1), (-6, 0, 1, 1), (-2, -2, 2, 0))\n",
      "((-9, 0, 2, 1), (-6, 0, 1, 1), (-2, -2, 2, 0))\n",
      "[72.62742772966976, 886.3137138648347, 1299.8915195297695]\n",
      "2\n",
      "1200.0\n",
      "[72.62742772966976, 886.3137138648347, 1299.8915195297695]\n",
      "((-9, 0, 2, 1), (-6, 0, 1, 1), (-2, -2, 2, 0))\n",
      "((-9, 0, 2, 1), (-6, 0, 1, 1), (-8, 0, 2, 1))\n",
      "[-1127.3725722703302, -313.68628613516535, 72.62742772966931]\n",
      "1\n",
      "-200.0\n",
      "[-1127.3725722703302, -313.68628613516535, 72.62742772966931]\n",
      "((-9, 0, 2, 1), (-6, 0, 1, 1), (-8, 0, 2, 1))\n",
      "((-9, 0, 2, 1), (-11, 0, 2, 2), (-8, 0, 2, 1))\n",
      "[-927.3725722703302, 41.453334198794664, 272.6274277296693]\n",
      "1\n",
      "100.0\n",
      "[-927.3725722703302, 41.453334198794664, 272.6274277296693]\n",
      "((-9, 0, 2, 1), (-11, 0, 2, 2), (-8, 0, 2, 1))\n",
      "((-9, 0, 2, 1), (-6, 0, 1, 1), (-8, 0, 2, 1))\n",
      "[-1027.3725722703302, -213.68628613516535, 172.6274277296693]\n",
      "2\n",
      "None\n",
      "[-1027.3725722703302, -213.68628613516535, 172.6274277296693]\n",
      "((-9, 0, 2, 1), (-6, 0, 1, 1), (-8, 0, 2, 1))\n",
      "((-9, 0, 2, 1), (-6, 0, 1, 1), (-4, -1, 1, 1))\n",
      "[-1027.3725722703302, -213.68628613516535, 284.358712999447]\n",
      "0\n",
      "None\n",
      "[-1027.3725722703302, -213.68628613516535, 284.358712999447]\n",
      "((-9, 0, 2, 1), (-6, 0, 1, 1), (-4, -1, 1, 1))\n",
      "((-5, -1, 1, 1), (-6, 0, 1, 1), (-4, -1, 1, 1))\n",
      "[-915.6412870005524, -213.68628613516535, 284.358712999447]\n",
      "2\n",
      "None\n",
      "[-915.6412870005524, -213.68628613516535, 284.358712999447]\n",
      "((-5, -1, 1, 1), (-6, 0, 1, 1), (-4, -1, 1, 1))\n",
      "((-5, -1, 1, 1), (-6, 0, 1, 1), (-8, 0, 2, 1))\n",
      "[-915.6412870005524, -213.68628613516535, 172.6274277296693]\n",
      "0\n",
      "None\n",
      "[-915.6412870005524, -213.68628613516535, 172.6274277296693]\n",
      "((-5, -1, 1, 1), (-6, 0, 1, 1), (-8, 0, 2, 1))\n",
      "((-9, 0, 2, 1), (-6, 0, 1, 1), (-8, 0, 2, 1))\n",
      "[-1027.3725722703302, -213.68628613516535, 172.6274277296693]\n",
      "2\n",
      "600.0\n",
      "[-1027.3725722703302, -213.68628613516535, 172.6274277296693]\n",
      "((-9, 0, 2, 1), (-6, 0, 1, 1), (-8, 0, 2, 1))\n",
      "((-9, 0, 2, 1), (-6, 0, 1, 1), (-3, 0, 0, 1))\n",
      "[-1627.3725722703302, -813.6862861351653, -3.410605131648481e-13]\n",
      "0\n",
      "None\n",
      "[-1627.3725722703302, -813.6862861351653, -3.410605131648481e-13]\n",
      "((-9, 0, 2, 1), (-6, 0, 1, 1), (-3, 0, 0, 1))\n",
      "((-2, 0, -1, 1), (-6, 0, 1, 1), (-3, 0, 0, 1))\n",
      "[-1586.3137138648347, -813.6862861351653, -3.410605131648481e-13]\n",
      "2\n",
      "100.0\n",
      "[-1586.3137138648347, -813.6862861351653, -3.410605131648481e-13]\n",
      "((-2, 0, -1, 1), (-6, 0, 1, 1), (-3, 0, 0, 1))\n",
      "((-2, 0, -1, 1), (-6, 0, 1, 1), (1, -1, -1, 1))\n",
      "[-1686.3137138648347, -913.6862861351653, 11.731285269777473]\n",
      "0\n",
      "-1300.0\n",
      "[-1686.3137138648347, -913.6862861351653, 11.731285269777473]\n",
      "((-2, 0, -1, 1), (-6, 0, 1, 1), (1, -1, -1, 1))\n",
      "((-4, 0, 0, 1), (-6, 0, 1, 1), (1, -1, -1, 1))\n",
      "[2.2737367544323206e-13, 386.31371386483465, 1311.7312852697776]\n",
      "0\n",
      "100.0\n",
      "[2.2737367544323206e-13, 386.31371386483465, 1311.7312852697776]\n",
      "((-4, 0, 0, 1), (-6, 0, 1, 1), (1, -1, -1, 1))\n",
      "((-9, 0, 1, 2), (-6, 0, 1, 1), (1, -1, -1, 1))\n",
      "[55.13962033396001, 286.31371386483465, 1211.7312852697776]\n",
      "0\n",
      "None\n",
      "[55.13962033396001, 286.31371386483465, 1211.7312852697776]\n",
      "((-9, 0, 1, 2), (-6, 0, 1, 1), (1, -1, -1, 1))\n",
      "((-4, 0, 0, 1), (-6, 0, 1, 1), (1, -1, -1, 1))\n",
      "[-99.99999999999977, 286.31371386483465, 1211.7312852697776]\n",
      "0\n",
      "None\n",
      "[-99.99999999999977, 286.31371386483465, 1211.7312852697776]\n",
      "((-4, 0, 0, 1), (-6, 0, 1, 1), (1, -1, -1, 1))\n",
      "((-3, -1, -1, 2), (-6, 0, 1, 1), (1, -1, -1, 1))\n",
      "[-219.44280826109707, 286.31371386483465, 1211.7312852697776]\n",
      "0\n",
      "200.0\n",
      "[-219.44280826109707, 286.31371386483465, 1211.7312852697776]\n",
      "((-3, -1, -1, 2), (-6, 0, 1, 1), (1, -1, -1, 1))\n",
      "((-8, 1, 1, 1), (-6, 0, 1, 1), (1, -1, -1, 1))\n",
      "[-411.7312852697776, 86.31371386483465, 1011.7312852697776]\n",
      "1\n",
      "None\n",
      "[-411.7312852697776, 86.31371386483465, 1011.7312852697776]\n",
      "((-8, 1, 1, 1), (-6, 0, 1, 1), (1, -1, -1, 1))\n",
      "((-8, 1, 1, 1), (3, -1, -1, 0), (1, -1, -1, 1))\n",
      "[-411.7312852697776, 42.90537880065267, 1011.7312852697776]\n",
      "0\n",
      "200.0\n",
      "[-411.7312852697776, 42.90537880065267, 1011.7312852697776]\n",
      "((-8, 1, 1, 1), (3, -1, -1, 0), (1, -1, -1, 1))\n",
      "((5, -1, -2, 0), (3, -1, -1, 0), (1, -1, -1, 1))\n",
      "[-543.4083350641818, -157.09462119934733, 811.7312852697776]\n",
      "1\n",
      "None\n",
      "[-543.4083350641818, -157.09462119934733, 811.7312852697776]\n",
      "((5, -1, -2, 0), (3, -1, -1, 0), (1, -1, -1, 1))\n",
      "((5, -1, -2, 0), (7, -2, -2, 0), (1, -1, -1, 1))\n",
      "[-543.4083350641818, -45.36333592956953, 811.7312852697776]\n",
      "0\n",
      "100.0\n",
      "[-543.4083350641818, -45.36333592956953, 811.7312852697776]\n",
      "((5, -1, -2, 0), (7, -2, -2, 0), (1, -1, -1, 1))\n",
      "((9, -2, -3, 0), (7, -2, -2, 0), (1, -1, -1, 1))\n",
      "[-531.6770497944042, -145.36333592956953, 711.7312852697776]\n",
      "1\n",
      "None\n",
      "[-531.6770497944042, -145.36333592956953, 711.7312852697776]\n",
      "((9, -2, -3, 0), (7, -2, -2, 0), (1, -1, -1, 1))\n",
      "((9, -2, -3, 0), (-2, -1, 0, 1), (1, -1, -1, 1))\n",
      "[-531.6770497944042, -101.95500086538755, 711.7312852697776]\n",
      "1\n",
      "None\n",
      "[-531.6770497944042, -101.95500086538755, 711.7312852697776]\n",
      "((9, -2, -3, 0), (-2, -1, 0, 1), (1, -1, -1, 1))\n",
      "((9, -2, -3, 0), (7, -2, -2, 0), (1, -1, -1, 1))\n",
      "[-531.6770497944042, -145.36333592956953, 711.7312852697776]\n",
      "1\n",
      "200.0\n",
      "[-531.6770497944042, -145.36333592956953, 711.7312852697776]\n",
      "((9, -2, -3, 0), (7, -2, -2, 0), (1, -1, -1, 1))\n",
      "((9, -2, -3, 0), (8, -1, -3, 0), (1, -1, -1, 1))\n",
      "[-731.6770497944042, -29.722048929016864, 511.7312852697776]\n",
      "1\n",
      "200.0\n",
      "[-731.6770497944042, -29.722048929016864, 511.7312852697776]\n",
      "((9, -2, -3, 0), (8, -1, -3, 0), (1, -1, -1, 1))\n",
      "((9, -2, -3, 0), (12, -2, -4, 0), (1, -1, -1, 1))\n",
      "[-931.6770497944042, -117.99076365923895, 311.7312852697776]\n",
      "1\n",
      "100.0\n",
      "[-931.6770497944042, -117.99076365923895, 311.7312852697776]\n",
      "((9, -2, -3, 0), (12, -2, -4, 0), (1, -1, -1, 1))\n",
      "((9, -2, -3, 0), (-2, -1, -1, 2), (1, -1, -1, 1))\n",
      "[-1031.6770497944042, -19.442808261097298, 211.73128526977757]\n",
      "2\n",
      "None\n",
      "[-1031.6770497944042, -19.442808261097298, 211.73128526977757]\n",
      "((9, -2, -3, 0), (-2, -1, -1, 2), (1, -1, -1, 1))\n",
      "((9, -2, -3, 0), (-2, -1, -1, 2), (-4, -1, 0, 2))\n",
      "[-1031.6770497944042, -19.442808261097298, 366.8709056037372]\n",
      "2\n",
      "None\n",
      "[-1031.6770497944042, -19.442808261097298, 366.8709056037372]\n",
      "((9, -2, -3, 0), (-2, -1, -1, 2), (-4, -1, 0, 2))\n",
      "((9, -2, -3, 0), (-2, -1, -1, 2), (13, -2, -3, -1))\n",
      "[-1031.6770497944042, -19.442808261097298, 399.4970437364706]\n",
      "2\n",
      "None\n",
      "[-1031.6770497944042, -19.442808261097298, 399.4970437364706]\n",
      "((9, -2, -3, 0), (-2, -1, -1, 2), (13, -2, -3, -1))\n",
      "((9, -2, -3, 0), (-2, -1, -1, 2), (-4, -1, 0, 2))\n",
      "[-1031.6770497944042, -19.442808261097298, 366.8709056037372]\n",
      "0\n",
      "None\n",
      "[-1031.6770497944042, -19.442808261097298, 366.8709056037372]\n",
      "((9, -2, -3, 0), (-2, -1, -1, 2), (-4, -1, 0, 2))\n",
      "((-8, -1, 0, 3), (-2, -1, -1, 2), (-4, -1, 0, 2))\n",
      "[-1064.3031879271375, -19.442808261097298, 366.8709056037372]\n",
      "2\n",
      "None\n",
      "[-1064.3031879271375, -19.442808261097298, 366.8709056037372]\n",
      "((-8, -1, 0, 3), (-2, -1, -1, 2), (-4, -1, 0, 2))\n",
      "((-8, -1, 0, 3), (-2, -1, -1, 2), (0, -2, -1, 2))\n",
      "[-1064.3031879271375, -19.442808261097298, 478.60219087351527]\n",
      "0\n",
      "None\n",
      "[-1064.3031879271375, -19.442808261097298, 478.60219087351527]\n",
      "((-8, -1, 0, 3), (-2, -1, -1, 2), (0, -2, -1, 2))\n",
      "((1, -2, -2, 2), (-2, -1, -1, 2), (0, -2, -1, 2))\n",
      "[-1107.7115229913195, -19.442808261097298, 478.60219087351527]\n",
      "2\n",
      "400.0\n",
      "[-1107.7115229913195, -19.442808261097298, 478.60219087351527]\n",
      "((1, -2, -2, 2), (-2, -1, -1, 2), (0, -2, -1, 2))\n",
      "((1, -2, -2, 2), (-2, -1, -1, 2), (-4, -1, 0, 2))\n",
      "[-1507.7115229913195, -419.4428082610973, -33.129094396262815]\n",
      "0\n",
      "-1300.0\n",
      "[-1507.7115229913195, -419.4428082610973, -33.129094396262815]\n",
      "((1, -2, -2, 2), (-2, -1, -1, 2), (-4, -1, 0, 2))\n",
      "((0, -1, -1, 1), (-2, -1, -1, 2), (-4, -1, 0, 2))\n",
      "[-88.26871473022175, 880.5571917389027, 1266.8709056037371]\n",
      "2\n",
      "1500.0\n",
      "[-88.26871473022175, 880.5571917389027, 1266.8709056037371]\n",
      "((0, -1, -1, 1), (-2, -1, -1, 2), (-4, -1, 0, 2))\n",
      "((0, -1, -1, 1), (-2, -1, -1, 2), (-1, -1, 0, 1))\n",
      "[-1588.2687147302217, -619.4428082610973, -1.955000865387774]\n",
      "2\n",
      "100.0\n",
      "[-1588.2687147302217, -619.4428082610973, -1.955000865387774]\n",
      "((0, -1, -1, 1), (-2, -1, -1, 2), (-1, -1, 0, 1))\n",
      "((0, -1, -1, 1), (-2, -1, -1, 2), (-3, 0, -1, 2))\n",
      "[-1688.2687147302217, -719.4428082610973, -17.487807395709865]\n",
      "1\n",
      "-1100.0\n",
      "[-1688.2687147302217, -719.4428082610973, -17.487807395709865]\n",
      "((0, -1, -1, 1), (-2, -1, -1, 2), (-3, 0, -1, 2))\n",
      "((0, -1, -1, 1), (-1, 0, -1, 1), (-3, 0, -1, 2))\n",
      "[-588.2687147302217, 113.68628613516535, 1082.5121926042902]\n",
      "2\n",
      "None\n",
      "[-588.2687147302217, 113.68628613516535, 1082.5121926042902]\n",
      "((0, -1, -1, 1), (-1, 0, -1, 1), (-3, 0, -1, 2))\n",
      "((0, -1, -1, 1), (-1, 0, -1, 1), (3, -2, -1, 1))\n",
      "[-588.2687147302217, 113.68628613516535, 1109.7762844043905]\n",
      "2\n",
      "None\n",
      "[-588.2687147302217, 113.68628613516535, 1109.7762844043905]\n",
      "((0, -1, -1, 1), (-1, 0, -1, 1), (3, -2, -1, 1))\n",
      "((0, -1, -1, 1), (-1, 0, -1, 1), (-3, 0, -1, 2))\n",
      "[-588.2687147302217, 113.68628613516535, 1082.5121926042902]\n",
      "1\n",
      "400.0\n",
      "[-588.2687147302217, 113.68628613516535, 1082.5121926042902]\n",
      "((0, -1, -1, 1), (-1, 0, -1, 1), (-3, 0, -1, 2))\n",
      "((0, -1, -1, 1), (-2, -1, -1, 2), (-3, 0, -1, 2))\n",
      "[-988.2687147302217, -19.442808261097298, 682.5121926042902]\n",
      "2\n",
      "None\n",
      "[-988.2687147302217, -19.442808261097298, 682.5121926042902]\n",
      "((0, -1, -1, 1), (-2, -1, -1, 2), (-3, 0, -1, 2))\n",
      "((0, -1, -1, 1), (-2, -1, -1, 2), (3, -2, -1, 1))\n",
      "[-988.2687147302217, -19.442808261097298, 709.7762844043904]\n",
      "1\n",
      "-200.0\n",
      "[-988.2687147302217, -19.442808261097298, 709.7762844043904]\n",
      "((0, -1, -1, 1), (-2, -1, -1, 2), (3, -2, -1, 1))\n",
      "((0, -1, -1, 1), (3, -1, -2, 1), (3, -2, -1, 1))\n",
      "[-788.2687147302217, 25.417571404942805, 909.7762844043904]\n",
      "1\n",
      "-100.0\n",
      "[-788.2687147302217, 25.417571404942805, 909.7762844043904]\n",
      "((0, -1, -1, 1), (3, -1, -2, 1), (3, -2, -1, 1))\n",
      "((0, -1, -1, 1), (-1, 0, -1, 1), (3, -2, -1, 1))\n",
      "[-688.2687147302217, 13.686286135165346, 1009.7762844043904]\n",
      "1\n",
      "-300.0\n",
      "[-688.2687147302217, 13.686286135165346, 1009.7762844043904]\n",
      "((0, -1, -1, 1), (-1, 0, -1, 1), (3, -2, -1, 1))\n",
      "((0, -1, -1, 1), (-2, -1, 0, 1), (3, -2, -1, 1))\n",
      "[-388.26871473022175, -1.9550008653875466, 1309.7762844043905]\n",
      "2\n",
      "900.0\n",
      "[-388.26871473022175, -1.9550008653875466, 1309.7762844043905]\n",
      "((0, -1, -1, 1), (-2, -1, 0, 1), (3, -2, -1, 1))\n",
      "((0, -1, -1, 1), (-2, -1, 0, 1), (-1, -1, 0, 1))\n",
      "[-1288.2687147302217, -901.9550008653875, 298.04499913461245]\n",
      "0\n",
      "None\n",
      "[-1288.2687147302217, -901.9550008653875, 298.04499913461245]\n",
      "((0, -1, -1, 1), (-2, -1, 0, 1), (-1, -1, 0, 1))\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (-1, -1, 0, 1))\n",
      "[-1399.9999999999998, -901.9550008653875, 298.04499913461245]\n",
      "0\n",
      "None\n",
      "[-1399.9999999999998, -901.9550008653875, 298.04499913461245]\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (-1, -1, 0, 1))\n",
      "((0, -1, -1, 1), (-2, -1, 0, 1), (-1, -1, 0, 1))\n",
      "[-1288.2687147302217, -901.9550008653875, 298.04499913461245]\n",
      "0\n",
      "-800.0\n",
      "[-1288.2687147302217, -901.9550008653875, 298.04499913461245]\n",
      "((0, -1, -1, 1), (-2, -1, 0, 1), (-1, -1, 0, 1))\n",
      "((-5, -1, 0, 2), (-2, -1, 0, 1), (-1, -1, 0, 1))\n",
      "[-333.1290943962624, -101.95500086538755, 1098.0449991346125]\n",
      "0\n",
      "-200.0\n",
      "[-333.1290943962624, -101.95500086538755, 1098.0449991346125]\n",
      "((-5, -1, 0, 2), (-2, -1, 0, 1), (-1, -1, 0, 1))\n",
      "((0, -1, -1, 1), (-2, -1, 0, 1), (-1, -1, 0, 1))\n",
      "[-288.26871473022175, 98.04499913461245, 1298.0449991346125]\n",
      "0\n",
      "-100.0\n",
      "[-288.26871473022175, 98.04499913461245, 1298.0449991346125]\n",
      "((0, -1, -1, 1), (-2, -1, 0, 1), (-1, -1, 0, 1))\n",
      "((-5, -1, 0, 2), (-2, -1, 0, 1), (-1, -1, 0, 1))\n",
      "[-33.12909439626242, 198.04499913461245, 1398.0449991346125]\n",
      "0\n",
      "-300.0\n",
      "[-33.12909439626242, 198.04499913461245, 1398.0449991346125]\n",
      "((-5, -1, 0, 2), (-2, -1, 0, 1), (-1, -1, 0, 1))\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (-1, -1, 0, 1))\n",
      "[2.2737367544323206e-13, 498.04499913461245, 1698.0449991346125]\n",
      "2\n",
      "None\n",
      "[2.2737367544323206e-13, 498.04499913461245, 1698.0449991346125]\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (-1, -1, 0, 1))\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (-5, 0, 1, 1))\n",
      "[2.2737367544323206e-13, 498.04499913461245, 1586.3137138648349]\n",
      "2\n",
      "None\n",
      "[2.2737367544323206e-13, 498.04499913461245, 1586.3137138648349]\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (-5, 0, 1, 1))\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (-1, -1, 0, 1))\n",
      "[2.2737367544323206e-13, 498.04499913461245, 1698.0449991346125]\n",
      "2\n",
      "1800.0\n",
      "[2.2737367544323206e-13, 498.04499913461245, 1698.0449991346125]\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (-1, -1, 0, 1))\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (-4, 1, 0, 1))\n",
      "[-1799.9999999999998, -1301.9550008653875, 101.95500086538755]\n",
      "2\n",
      "-200.0\n",
      "[-1799.9999999999998, -1301.9550008653875, 101.95500086538755]\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (-4, 1, 0, 1))\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (-5, 0, 1, 1))\n",
      "[-1599.9999999999998, -1101.9550008653875, -13.686286135165119]\n",
      "2\n",
      "-100.0\n",
      "[-1599.9999999999998, -1101.9550008653875, -13.686286135165119]\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (-5, 0, 1, 1))\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (-4, -1, 0, 2))\n",
      "[-1499.9999999999998, -1001.9550008653875, -33.12909439626256]\n",
      "2\n",
      "-300.0\n",
      "[-1499.9999999999998, -1001.9550008653875, -33.12909439626256]\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (-4, -1, 0, 2))\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (-3, 0, 0, 1))\n",
      "[-1199.9999999999998, -701.9550008653875, 0.0]\n",
      "0\n",
      "None\n",
      "[-1199.9999999999998, -701.9550008653875, 0.0]\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (-3, 0, 0, 1))\n",
      "((0, -1, -1, 1), (-2, -1, 0, 1), (-3, 0, 0, 1))\n",
      "[-1088.2687147302217, -701.9550008653875, 0.0]\n",
      "2\n",
      "None\n",
      "[-1088.2687147302217, -701.9550008653875, 0.0]\n",
      "((0, -1, -1, 1), (-2, -1, 0, 1), (-3, 0, 0, 1))\n",
      "((0, -1, -1, 1), (-2, -1, 0, 1), (1, -1, -1, 1))\n",
      "[-1088.2687147302217, -701.9550008653875, 111.73128526977781]\n",
      "1\n",
      "None\n",
      "[-1088.2687147302217, -701.9550008653875, 111.73128526977781]\n",
      "((0, -1, -1, 1), (-2, -1, 0, 1), (1, -1, -1, 1))\n",
      "((0, -1, -1, 1), (2, -2, -1, 1), (1, -1, -1, 1))\n",
      "[-1088.2687147302217, -590.2237155956096, 111.73128526977781]\n",
      "0\n",
      "None\n",
      "[-1088.2687147302217, -590.2237155956096, 111.73128526977781]\n",
      "((0, -1, -1, 1), (2, -2, -1, 1), (1, -1, -1, 1))\n",
      "((4, -2, -2, 1), (2, -2, -1, 1), (1, -1, -1, 1))\n",
      "[-976.5374294604442, -590.2237155956096, 111.73128526977781]\n",
      "2\n",
      "None\n",
      "[-976.5374294604442, -590.2237155956096, 111.73128526977781]\n",
      "((4, -2, -2, 1), (2, -2, -1, 1), (1, -1, -1, 1))\n",
      "((4, -2, -2, 1), (2, -2, -1, 1), (5, -2, -2, 1))\n",
      "[-976.5374294604442, -590.2237155956096, 223.4625705395555]\n",
      "1\n",
      "None\n",
      "[-976.5374294604442, -590.2237155956096, 223.4625705395555]\n",
      "((4, -2, -2, 1), (2, -2, -1, 1), (5, -2, -2, 1))\n",
      "((4, -2, -2, 1), (6, -3, -2, 1), (5, -2, -2, 1))\n",
      "[-976.5374294604442, -478.49243032583195, 223.4625705395555]\n",
      "0\n",
      "None\n",
      "[-976.5374294604442, -478.49243032583195, 223.4625705395555]\n",
      "((4, -2, -2, 1), (6, -3, -2, 1), (5, -2, -2, 1))\n",
      "((8, -3, -3, 1), (6, -3, -2, 1), (5, -2, -2, 1))\n",
      "[-864.8061441906666, -478.49243032583195, 223.4625705395555]\n",
      "2\n",
      "None\n",
      "[-864.8061441906666, -478.49243032583195, 223.4625705395555]\n",
      "((8, -3, -3, 1), (6, -3, -2, 1), (5, -2, -2, 1))\n",
      "((8, -3, -3, 1), (6, -3, -2, 1), (9, -3, -3, 1))\n",
      "[-864.8061441906666, -478.49243032583195, 335.19385580933334]\n",
      "0\n",
      "-1000.0\n",
      "[-864.8061441906666, -478.49243032583195, 335.19385580933334]\n",
      "((8, -3, -3, 1), (6, -3, -2, 1), (9, -3, -3, 1))\n",
      "((4, -2, -2, 1), (6, -3, -2, 1), (9, -3, -3, 1))\n",
      "[23.462570539555827, 521.507569674168, 1335.1938558093334]\n",
      "1\n",
      "500.0\n",
      "[23.462570539555827, 521.507569674168, 1335.1938558093334]\n",
      "((4, -2, -2, 1), (6, -3, -2, 1), (9, -3, -3, 1))\n",
      "((4, -2, -2, 1), (2, -2, -1, 1), (9, -3, -3, 1))\n",
      "[-476.5374294604442, -90.22371559560963, 835.1938558093334]\n",
      "2\n",
      "None\n",
      "[-476.5374294604442, -90.22371559560963, 835.1938558093334]\n",
      "((4, -2, -2, 1), (2, -2, -1, 1), (9, -3, -3, 1))\n",
      "((4, -2, -2, 1), (2, -2, -1, 1), (0, -2, -1, 2))\n",
      "[-476.5374294604442, -90.22371559560963, 878.6021908735156]\n",
      "2\n",
      "700.0\n",
      "[-476.5374294604442, -90.22371559560963, 878.6021908735156]\n",
      "((4, -2, -2, 1), (2, -2, -1, 1), (0, -2, -1, 2))\n",
      "((4, -2, -2, 1), (2, -2, -1, 1), (5, -2, -2, 1))\n",
      "[-1176.5374294604442, -790.2237155956096, 23.4625705395556]\n",
      "0\n",
      "None\n",
      "[-1176.5374294604442, -790.2237155956096, 23.4625705395556]\n",
      "((4, -2, -2, 1), (2, -2, -1, 1), (5, -2, -2, 1))\n",
      "((0, -1, -1, 1), (2, -2, -1, 1), (5, -2, -2, 1))\n",
      "[-1288.2687147302217, -790.2237155956096, 23.4625705395556]\n",
      "1\n",
      "None\n",
      "[-1288.2687147302217, -790.2237155956096, 23.4625705395556]\n",
      "((0, -1, -1, 1), (2, -2, -1, 1), (5, -2, -2, 1))\n",
      "((0, -1, -1, 1), (6, -3, -2, 1), (5, -2, -2, 1))\n",
      "[-1288.2687147302217, -678.492430325832, 23.4625705395556]\n",
      "0\n",
      "None\n",
      "[-1288.2687147302217, -678.492430325832, 23.4625705395556]\n",
      "((0, -1, -1, 1), (6, -3, -2, 1), (5, -2, -2, 1))\n",
      "((4, -2, -2, 1), (6, -3, -2, 1), (5, -2, -2, 1))\n",
      "[-1176.5374294604442, -678.492430325832, 23.4625705395556]\n",
      "1\n",
      "None\n",
      "[-1176.5374294604442, -678.492430325832, 23.4625705395556]\n",
      "((4, -2, -2, 1), (6, -3, -2, 1), (5, -2, -2, 1))\n",
      "((4, -2, -2, 1), (2, -2, -1, 1), (5, -2, -2, 1))\n",
      "[-1176.5374294604442, -790.2237155956096, 23.4625705395556]\n",
      "2\n",
      "None\n",
      "[-1176.5374294604442, -790.2237155956096, 23.4625705395556]\n",
      "((4, -2, -2, 1), (2, -2, -1, 1), (5, -2, -2, 1))\n",
      "((4, -2, -2, 1), (2, -2, -1, 1), (1, -1, -1, 1))\n",
      "[-1176.5374294604442, -790.2237155956096, -88.26871473022209]\n",
      "0\n",
      "None\n",
      "[-1176.5374294604442, -790.2237155956096, -88.26871473022209]\n",
      "((4, -2, -2, 1), (2, -2, -1, 1), (1, -1, -1, 1))\n",
      "((0, -1, -1, 1), (2, -2, -1, 1), (1, -1, -1, 1))\n",
      "[-1288.2687147302217, -790.2237155956096, -88.26871473022209]\n",
      "1\n",
      "None\n",
      "[-1288.2687147302217, -790.2237155956096, -88.26871473022209]\n",
      "((0, -1, -1, 1), (2, -2, -1, 1), (1, -1, -1, 1))\n",
      "((0, -1, -1, 1), (-2, -1, 0, 1), (1, -1, -1, 1))\n",
      "[-1288.2687147302217, -901.9550008653875, -88.26871473022209]\n",
      "0\n",
      "-1400.0\n",
      "[-1288.2687147302217, -901.9550008653875, -88.26871473022209]\n",
      "((0, -1, -1, 1), (-2, -1, 0, 1), (1, -1, -1, 1))\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (1, -1, -1, 1))\n",
      "[2.2737367544323206e-13, 498.04499913461245, 1311.7312852697778]\n",
      "1\n",
      "500.0\n",
      "[2.2737367544323206e-13, 498.04499913461245, 1311.7312852697778]\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (1, -1, -1, 1))\n",
      "((-4, 0, 0, 1), (2, -2, -1, 1), (1, -1, -1, 1))\n",
      "[-499.9999999999998, 109.77628440439037, 811.7312852697778]\n",
      "2\n",
      "None\n",
      "[-499.9999999999998, 109.77628440439037, 811.7312852697778]\n",
      "((-4, 0, 0, 1), (2, -2, -1, 1), (1, -1, -1, 1))\n",
      "((-4, 0, 0, 1), (2, -2, -1, 1), (5, -2, -2, 1))\n",
      "[-499.9999999999998, 109.77628440439037, 923.4625705395555]\n",
      "2\n",
      "700.0\n",
      "[-499.9999999999998, 109.77628440439037, 923.4625705395555]\n",
      "((-4, 0, 0, 1), (2, -2, -1, 1), (5, -2, -2, 1))\n",
      "((-4, 0, 0, 1), (2, -2, -1, 1), (1, -1, -1, 1))\n",
      "[-1199.9999999999998, -590.2237155956096, 111.7312852697778]\n",
      "1\n",
      "None\n",
      "[-1199.9999999999998, -590.2237155956096, 111.7312852697778]\n",
      "((-4, 0, 0, 1), (2, -2, -1, 1), (1, -1, -1, 1))\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (1, -1, -1, 1))\n",
      "[-1199.9999999999998, -701.9550008653875, 111.7312852697778]\n",
      "1\n",
      "None\n",
      "[-1199.9999999999998, -701.9550008653875, 111.7312852697778]\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (1, -1, -1, 1))\n",
      "((-4, 0, 0, 1), (2, -2, -1, 1), (1, -1, -1, 1))\n",
      "[-1199.9999999999998, -590.2237155956096, 111.7312852697778]\n",
      "1\n",
      "-900.0\n",
      "[-1199.9999999999998, -590.2237155956096, 111.7312852697778]\n",
      "((-4, 0, 0, 1), (2, -2, -1, 1), (1, -1, -1, 1))\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (1, -1, -1, 1))\n",
      "[-299.9999999999998, 198.04499913461245, 1011.7312852697778]\n",
      "1\n",
      "-100.0\n",
      "[-299.9999999999998, 198.04499913461245, 1011.7312852697778]\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (1, -1, -1, 1))\n",
      "((-4, 0, 0, 1), (-1, 0, 0, 0), (1, -1, -1, 1))\n",
      "[-199.99999999999977, 31.174093530875098, 1111.7312852697778]\n",
      "0\n",
      "None\n",
      "[-199.99999999999977, 31.174093530875098, 1111.7312852697778]\n",
      "((-4, 0, 0, 1), (-1, 0, 0, 0), (1, -1, -1, 1))\n",
      "((-3, -1, -1, 2), (-1, 0, 0, 0), (1, -1, -1, 1))\n",
      "[-319.44280826109707, 31.174093530875098, 1111.7312852697778]\n",
      "0\n",
      "None\n",
      "[-319.44280826109707, 31.174093530875098, 1111.7312852697778]\n",
      "((-3, -1, -1, 2), (-1, 0, 0, 0), (1, -1, -1, 1))\n",
      "((1, 0, -1, 0), (-1, 0, 0, 0), (1, -1, -1, 1))\n",
      "[-355.13962033395933, 31.174093530875098, 1111.7312852697778]\n",
      "1\n",
      "None\n",
      "[-355.13962033395933, 31.174093530875098, 1111.7312852697778]\n",
      "((1, 0, -1, 0), (-1, 0, 0, 0), (1, -1, -1, 1))\n",
      "((1, 0, -1, 0), (3, -1, -1, 0), (1, -1, -1, 1))\n",
      "[-355.13962033395933, 142.90537880065267, 1111.7312852697778]\n",
      "0\n",
      "None\n",
      "[-355.13962033395933, 142.90537880065267, 1111.7312852697778]\n",
      "((1, 0, -1, 0), (3, -1, -1, 0), (1, -1, -1, 1))\n",
      "((-3, -1, -1, 2), (3, -1, -1, 0), (1, -1, -1, 1))\n",
      "[-319.44280826109707, 142.90537880065267, 1111.7312852697778]\n",
      "0\n",
      "-400.0\n",
      "[-319.44280826109707, 142.90537880065267, 1111.7312852697778]\n",
      "((-3, -1, -1, 2), (3, -1, -1, 0), (1, -1, -1, 1))\n",
      "((1, 0, -1, 0), (3, -1, -1, 0), (1, -1, -1, 1))\n",
      "[44.86037966604067, 542.9053788006527, 1511.7312852697778]\n",
      "1\n",
      "None\n",
      "[44.86037966604067, 542.9053788006527, 1511.7312852697778]\n",
      "((1, 0, -1, 0), (3, -1, -1, 0), (1, -1, -1, 1))\n",
      "((1, 0, -1, 0), (-1, 0, 0, 0), (1, -1, -1, 1))\n",
      "[44.86037966604067, 431.1740935308751, 1511.7312852697778]\n",
      "1\n",
      "None\n",
      "[44.86037966604067, 431.1740935308751, 1511.7312852697778]\n",
      "((1, 0, -1, 0), (-1, 0, 0, 0), (1, -1, -1, 1))\n",
      "((1, 0, -1, 0), (3, -1, -1, 0), (1, -1, -1, 1))\n",
      "[44.86037966604067, 542.9053788006527, 1511.7312852697778]\n",
      "0\n",
      "-100.0\n",
      "[44.86037966604067, 542.9053788006527, 1511.7312852697778]\n",
      "((1, 0, -1, 0), (3, -1, -1, 0), (1, -1, -1, 1))\n",
      "((2, -1, -2, 1), (3, -1, -1, 0), (1, -1, -1, 1))\n",
      "[25.41757140494292, 642.9053788006527, 1611.7312852697778]\n",
      "1\n",
      "600.0\n",
      "[25.41757140494292, 642.9053788006527, 1611.7312852697778]\n",
      "((2, -1, -2, 1), (3, -1, -1, 0), (1, -1, -1, 1))\n",
      "((2, -1, -2, 1), (4, -2, -2, 1), (1, -1, -1, 1))\n",
      "[-574.5824285950571, -76.5374294604444, 1011.7312852697778]\n",
      "0\n",
      "None\n",
      "[-574.5824285950571, -76.5374294604444, 1011.7312852697778]\n",
      "((2, -1, -2, 1), (4, -2, -2, 1), (1, -1, -1, 1))\n",
      "((-2, 0, -1, 1), (4, -2, -2, 1), (1, -1, -1, 1))\n",
      "[-686.3137138648347, -76.5374294604444, 1011.7312852697778]\n",
      "0\n",
      "None\n",
      "[-686.3137138648347, -76.5374294604444, 1011.7312852697778]\n",
      "((-2, 0, -1, 1), (4, -2, -2, 1), (1, -1, -1, 1))\n",
      "((2, -1, -2, 1), (4, -2, -2, 1), (1, -1, -1, 1))\n",
      "[-574.5824285950571, -76.5374294604444, 1011.7312852697778]\n",
      "0\n",
      "-500.0\n",
      "[-574.5824285950571, -76.5374294604444, 1011.7312852697778]\n",
      "((2, -1, -2, 1), (4, -2, -2, 1), (1, -1, -1, 1))\n",
      "((6, -2, -3, 1), (4, -2, -2, 1), (1, -1, -1, 1))\n",
      "[37.14885667472072, 423.4625705395556, 1511.7312852697778]\n",
      "1\n",
      "700.0\n",
      "[37.14885667472072, 423.4625705395556, 1511.7312852697778]\n",
      "((6, -2, -3, 1), (4, -2, -2, 1), (1, -1, -1, 1))\n",
      "((6, -2, -3, 1), (-2, -1, 0, 1), (1, -1, -1, 1))\n",
      "[-662.8511433252793, -1.9550008653875466, 811.7312852697778]\n",
      "0\n",
      "-500.0\n",
      "[-662.8511433252793, -1.9550008653875466, 811.7312852697778]\n",
      "((6, -2, -3, 1), (-2, -1, 0, 1), (1, -1, -1, 1))\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (1, -1, -1, 1))\n",
      "[2.2737367544323206e-13, 498.04499913461245, 1311.7312852697778]\n",
      "2\n",
      "None\n",
      "[2.2737367544323206e-13, 498.04499913461245, 1311.7312852697778]\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (1, -1, -1, 1))\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (0, 0, 0, 0))\n",
      "[2.2737367544323206e-13, 498.04499913461245, 1431.174093530875]\n",
      "2\n",
      "None\n",
      "[2.2737367544323206e-13, 498.04499913461245, 1431.174093530875]\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (0, 0, 0, 0))\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (-4, -1, 0, 2))\n",
      "[2.2737367544323206e-13, 498.04499913461245, 1466.8709056037374]\n",
      "2\n",
      "None\n",
      "[2.2737367544323206e-13, 498.04499913461245, 1466.8709056037374]\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (-4, -1, 0, 2))\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (0, 0, 0, 0))\n",
      "[2.2737367544323206e-13, 498.04499913461245, 1431.174093530875]\n",
      "2\n",
      "1000.0\n",
      "[2.2737367544323206e-13, 498.04499913461245, 1431.174093530875]\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (0, 0, 0, 0))\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (0, -2, 0, 1))\n",
      "[-999.9999999999998, -501.95500086538755, -3.910001730775093]\n",
      "2\n",
      "-100.0\n",
      "[-999.9999999999998, -501.95500086538755, -3.910001730775093]\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (0, -2, 0, 1))\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (-4, -1, 1, 1))\n",
      "[-899.9999999999998, -401.95500086538755, -15.641287000552666]\n",
      "2\n",
      "100.0\n",
      "[-899.9999999999998, -401.95500086538755, -15.641287000552666]\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (-4, -1, 1, 1))\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (0, -2, 0, 1))\n",
      "[-999.9999999999998, -501.95500086538755, -3.910001730775093]\n",
      "2\n",
      "200.0\n",
      "[-999.9999999999998, -501.95500086538755, -3.910001730775093]\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (0, -2, 0, 1))\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (-3, 0, 0, 1))\n",
      "[-1199.9999999999998, -701.9550008653875, 0.0]\n",
      "1\n",
      "None\n",
      "[-1199.9999999999998, -701.9550008653875, 0.0]\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (-3, 0, 0, 1))\n",
      "((-4, 0, 0, 1), (-6, 0, 1, 1), (-3, 0, 0, 1))\n",
      "[-1199.9999999999998, -813.6862861351653, 0.0]\n",
      "1\n",
      "None\n",
      "[-1199.9999999999998, -813.6862861351653, 0.0]\n",
      "((-4, 0, 0, 1), (-6, 0, 1, 1), (-3, 0, 0, 1))\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (-3, 0, 0, 1))\n",
      "[-1199.9999999999998, -701.9550008653875, 0.0]\n",
      "1\n",
      "None\n",
      "[-1199.9999999999998, -701.9550008653875, 0.0]\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (-3, 0, 0, 1))\n",
      "((-4, 0, 0, 1), (-6, 0, 1, 1), (-3, 0, 0, 1))\n",
      "[-1199.9999999999998, -813.6862861351653, 0.0]\n",
      "1\n",
      "None\n",
      "[-1199.9999999999998, -813.6862861351653, 0.0]\n",
      "((-4, 0, 0, 1), (-6, 0, 1, 1), (-3, 0, 0, 1))\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (-3, 0, 0, 1))\n",
      "[-1199.9999999999998, -701.9550008653875, 0.0]\n",
      "2\n",
      "-100.0\n",
      "[-1199.9999999999998, -701.9550008653875, 0.0]\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (-3, 0, 0, 1))\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (0, -2, 0, 1))\n",
      "[-1099.9999999999998, -601.9550008653875, -103.9100017307751]\n",
      "1\n",
      "-700.0\n",
      "[-1099.9999999999998, -601.9550008653875, -103.9100017307751]\n",
      "((-4, 0, 0, 1), (-2, -1, 0, 1), (0, -2, 0, 1))\n",
      "((-4, 0, 0, 1), (-6, 0, 1, 1), (0, -2, 0, 1))\n",
      "[-399.9999999999998, -13.686286135165346, 596.0899982692249]\n",
      "2\n",
      "900.0\n",
      "[-399.9999999999998, -13.686286135165346, 596.0899982692249]\n",
      "((-4, 0, 0, 1), (-6, 0, 1, 1), (0, -2, 0, 1))\n",
      "((-4, 0, 0, 1), (-6, 0, 1, 1), (-3, 0, 0, 1))\n",
      "[-1299.9999999999998, -913.6862861351653, -100.0]\n",
      "2\n",
      "100.0\n",
      "[-1299.9999999999998, -913.6862861351653, -100.0]\n",
      "((-4, 0, 0, 1), (-6, 0, 1, 1), (-3, 0, 0, 1))\n",
      "((-4, 0, 0, 1), (-6, 0, 1, 1), (0, 0, 0, 0))\n",
      "[-1399.9999999999998, -1013.6862861351653, 31.174093530875098]\n",
      "0\n",
      "None\n",
      "[-1399.9999999999998, -1013.6862861351653, 31.174093530875098]\n",
      "((-4, 0, 0, 1), (-6, 0, 1, 1), (0, 0, 0, 0))\n",
      "((-8, 1, 1, 1), (-6, 0, 1, 1), (0, 0, 0, 0))\n",
      "[-1511.7312852697776, -1013.6862861351653, 31.174093530875098]\n",
      "1\n",
      "-800.0\n",
      "[-1511.7312852697776, -1013.6862861351653, 31.174093530875098]\n",
      "((-8, 1, 1, 1), (-6, 0, 1, 1), (0, 0, 0, 0))\n",
      "((-8, 1, 1, 1), (-3, 0, 1, 0), (0, 0, 0, 0))\n",
      "[-711.7312852697776, 17.487807395709865, 831.1740935308751]\n",
      "0\n",
      "None\n",
      "[-711.7312852697776, 17.487807395709865, 831.1740935308751]\n",
      "((-8, 1, 1, 1), (-3, 0, 1, 0), (0, 0, 0, 0))\n",
      "((-2, -1, 1, 0), (-3, 0, 1, 0), (0, 0, 0, 0))\n",
      "[-684.4671934696776, 17.487807395709865, 831.1740935308751]\n",
      "1\n",
      "100.0\n",
      "[-684.4671934696776, 17.487807395709865, 831.1740935308751]\n",
      "((-2, -1, 1, 0), (-3, 0, 1, 0), (0, 0, 0, 0))\n",
      "((-2, -1, 1, 0), (1, -1, 0, 0), (0, 0, 0, 0))\n",
      "[-784.4671934696776, 29.21909266548755, 731.1740935308751]\n",
      "0\n",
      "None\n",
      "[-784.4671934696776, 29.21909266548755, 731.1740935308751]\n",
      "((-2, -1, 1, 0), (1, -1, 0, 0), (0, 0, 0, 0))\n",
      "((1, 0, -1, 0), (1, -1, 0, 0), (0, 0, 0, 0))\n",
      "[-855.1396203339593, 29.21909266548755, 731.1740935308751]\n",
      "0\n",
      "-800.0\n",
      "[-855.1396203339593, 29.21909266548755, 731.1740935308751]\n",
      "((1, 0, -1, 0), (1, -1, 0, 0), (0, 0, 0, 0))\n",
      "((-2, -1, 1, 0), (1, -1, 0, 0), (0, 0, 0, 0))\n",
      "[15.532806530322432, 829.2190926654876, 1531.174093530875]\n",
      "2\n",
      "None\n",
      "[15.532806530322432, 829.2190926654876, 1531.174093530875]\n",
      "((-2, -1, 1, 0), (1, -1, 0, 0), (0, 0, 0, 0))\n",
      "((-2, -1, 1, 0), (1, -1, 0, 0), (2, -1, 1, -1))\n",
      "[15.532806530322432, 829.2190926654876, 1446.7069000611973]\n",
      "2\n",
      "None\n",
      "[15.532806530322432, 829.2190926654876, 1446.7069000611973]\n",
      "((-2, -1, 1, 0), (1, -1, 0, 0), (2, -1, 1, -1))\n",
      "((-2, -1, 1, 0), (1, -1, 0, 0), (0, 0, 0, 0))\n",
      "[15.532806530322432, 829.2190926654876, 1531.174093530875]\n",
      "0\n",
      "200.0\n",
      "[15.532806530322432, 829.2190926654876, 1531.174093530875]\n",
      "((-2, -1, 1, 0), (1, -1, 0, 0), (0, 0, 0, 0))\n",
      "((2, -2, 0, 0), (1, -1, 0, 0), (0, 0, 0, 0))\n",
      "[-72.73590819989954, 629.2190926654876, 1331.174093530875]\n",
      "0\n",
      "100.0\n",
      "[-72.73590819989954, 629.2190926654876, 1331.174093530875]\n",
      "((2, -2, 0, 0), (1, -1, 0, 0), (0, 0, 0, 0))\n",
      "((-1, 0, 0, 0), (1, -1, 0, 0), (0, 0, 0, 0))\n",
      "[31.174093530875325, 529.2190926654876, 1231.174093530875]\n",
      "1\n",
      "300.0\n",
      "[31.174093530875325, 529.2190926654876, 1231.174093530875]\n",
      "((-1, 0, 0, 0), (1, -1, 0, 0), (0, 0, 0, 0))\n",
      "((-1, 0, 0, 0), (-3, 0, 1, 0), (0, 0, 0, 0))\n",
      "[-268.8259064691247, 117.48780739570986, 931.1740935308751]\n",
      "1\n",
      "400.0\n",
      "[-268.8259064691247, 117.48780739570986, 931.1740935308751]\n",
      "((-1, 0, 0, 0), (-3, 0, 1, 0), (0, 0, 0, 0))\n",
      "((-1, 0, 0, 0), (1, -1, 0, 0), (0, 0, 0, 0))\n",
      "[-668.8259064691247, -170.78090733451245, 531.1740935308751]\n",
      "1\n",
      "200.0\n",
      "[-668.8259064691247, -170.78090733451245, 531.1740935308751]\n",
      "((-1, 0, 0, 0), (1, -1, 0, 0), (0, 0, 0, 0))\n",
      "((-1, 0, 0, 0), (-2, 1, 0, 0), (0, 0, 0, 0))\n",
      "[-868.8259064691247, -166.87090560373747, 331.1740935308751]\n",
      "1\n",
      "-100.0\n",
      "[-868.8259064691247, -166.87090560373747, 331.1740935308751]\n",
      "((-1, 0, 0, 0), (-2, 1, 0, 0), (0, 0, 0, 0))\n",
      "((-1, 0, 0, 0), (2, 0, -1, 0), (0, 0, 0, 0))\n",
      "[-768.8259064691247, 44.86037966604033, 431.1740935308751]\n",
      "2\n",
      "600.0\n",
      "[-768.8259064691247, 44.86037966604033, 431.1740935308751]\n",
      "((-1, 0, 0, 0), (2, 0, -1, 0), (0, 0, 0, 0))\n",
      "((-1, 0, 0, 0), (2, 0, -1, 0), (4, -1, -1, 0))\n",
      "[-1368.8259064691247, -555.1396203339597, -57.0946211993471]\n",
      "0\n",
      "-1600.0\n",
      "[-1368.8259064691247, -555.1396203339597, -57.0946211993471]\n",
      "((-1, 0, 0, 0), (2, 0, -1, 0), (4, -1, -1, 0))\n",
      "((4, 0, -1, -1), (2, 0, -1, 0), (4, -1, -1, 0))\n",
      "[76.03447319691554, 1044.8603796660404, 1542.905378800653]\n",
      "2\n",
      "1800.0\n",
      "[76.03447319691554, 1044.8603796660404, 1542.905378800653]\n",
      "((4, 0, -1, -1), (2, 0, -1, 0), (4, -1, -1, 0))\n",
      "((4, 0, -1, -1), (2, 0, -1, 0), (7, -1, -1, -1))\n",
      "[-1723.9655268030845, -755.1396203339596, -25.920527668472232]\n",
      "0\n",
      "-1400.0\n",
      "[-1723.9655268030845, -755.1396203339596, -25.920527668472232]\n",
      "((4, 0, -1, -1), (2, 0, -1, 0), (7, -1, -1, -1))\n",
      "((-1, 0, 0, 0), (2, 0, -1, 0), (7, -1, -1, -1))\n",
      "[-168.82590646912467, 644.8603796660404, 1374.0794723315278]\n",
      "0\n",
      "200.0\n",
      "[-168.82590646912467, 644.8603796660404, 1374.0794723315278]\n",
      "((-1, 0, 0, 0), (2, 0, -1, 0), (7, -1, -1, -1))\n",
      "((3, -1, -1, 0), (2, 0, -1, 0), (7, -1, -1, -1))\n",
      "[-257.0946211993471, 444.86037966604044, 1174.0794723315278]\n",
      "1\n",
      "500.0\n",
      "[-257.0946211993471, 444.86037966604044, 1174.0794723315278]\n",
      "((3, -1, -1, 0), (2, 0, -1, 0), (7, -1, -1, -1))\n",
      "((3, -1, -1, 0), (8, -2, -1, -1), (7, -1, -1, -1))\n",
      "[-757.0946211993471, -27.87552853385938, 674.0794723315278]\n",
      "0\n",
      "-600.0\n",
      "[-757.0946211993471, -27.87552853385938, 674.0794723315278]\n",
      "((3, -1, -1, 0), (8, -2, -1, -1), (7, -1, -1, -1))\n",
      "((9, -3, -1, -1), (8, -2, -1, -1), (7, -1, -1, -1))\n",
      "[-129.83052939924664, 572.1244714661407, 1274.0794723315278]\n",
      "1\n",
      "500.0\n",
      "[-129.83052939924664, 572.1244714661407, 1274.0794723315278]\n",
      "((9, -3, -1, -1), (8, -2, -1, -1), (7, -1, -1, -1))\n",
      "((9, -3, -1, -1), (4, -1, 0, -1), (7, -1, -1, -1))\n",
      "[-629.8305293992466, -39.60681380363718, 774.0794723315278]\n",
      "2\n",
      "700.0\n",
      "[-629.8305293992466, -39.60681380363718, 774.0794723315278]\n",
      "((9, -3, -1, -1), (4, -1, 0, -1), (7, -1, -1, -1))\n",
      "((9, -3, -1, -1), (4, -1, 0, -1), (3, 0, 0, -1))\n",
      "[-1329.8305293992466, -739.6068138036371, -37.65181293824992]\n",
      "1\n",
      "-1000.0\n",
      "[-1329.8305293992466, -739.6068138036371, -37.65181293824992]\n",
      "((9, -3, -1, -1), (4, -1, 0, -1), (3, 0, 0, -1))\n",
      "((9, -3, -1, -1), (5, 0, 0, -2), (3, 0, 0, -1))\n",
      "[-329.83052939924664, -6.477719407374707, 962.3481870617501]\n",
      "0\n",
      "-100.0\n",
      "[-329.83052939924664, -6.477719407374707, 962.3481870617501]\n",
      "((9, -3, -1, -1), (5, 0, 0, -2), (3, 0, 0, -1))\n",
      "((2, 0, 0, -1), (5, 0, 0, -2), (3, 0, 0, -1))\n",
      "[-137.6518129382498, 93.5222805926253, 1062.3481870617502]\n",
      "0\n",
      "-100.0\n",
      "[-137.6518129382498, 93.5222805926253, 1062.3481870617502]\n",
      "((2, 0, 0, -1), (5, 0, 0, -2), (3, 0, 0, -1))\n",
      "((7, 0, -1, -2), (5, 0, 0, -2), (3, 0, 0, -1))\n",
      "[-192.7914332722096, 193.5222805926253, 1162.3481870617502]\n",
      "1\n",
      "None\n",
      "[-192.7914332722096, 193.5222805926253, 1162.3481870617502]\n",
      "((7, 0, -1, -2), (5, 0, 0, -2), (3, 0, 0, -1))\n",
      "((7, 0, -1, -2), (9, -1, -1, -2), (3, 0, 0, -1))\n",
      "[-192.7914332722096, 305.2535658624031, 1162.3481870617502]\n",
      "1\n",
      "None\n",
      "[-192.7914332722096, 305.2535658624031, 1162.3481870617502]\n",
      "((7, 0, -1, -2), (9, -1, -1, -2), (3, 0, 0, -1))\n",
      "((7, 0, -1, -2), (0, 0, 1, -1), (3, 0, 0, -1))\n",
      "[-192.7914332722096, 348.66190092658496, 1162.3481870617502]\n",
      "1\n",
      "0.0\n",
      "[-192.7914332722096, 348.66190092658496, 1162.3481870617502]\n",
      "((7, 0, -1, -2), (0, 0, 1, -1), (3, 0, 0, -1))\n",
      "((7, 0, -1, -2), (10, 0, -1, -3), (3, 0, 0, -1))\n",
      "[-192.7914332722096, 38.38266025866574, 1162.3481870617502]\n",
      "0\n",
      "-300.0\n",
      "[-192.7914332722096, 38.38266025866574, 1162.3481870617502]\n",
      "((7, 0, -1, -2), (10, 0, -1, -3), (3, 0, 0, -1))\n",
      "((-1, 0, 0, 0), (10, 0, -1, -3), (3, 0, 0, -1))\n",
      "[31.174093530875325, 338.38266025866574, 1462.3481870617502]\n",
      "0\n",
      "None\n",
      "[31.174093530875325, 338.38266025866574, 1462.3481870617502]\n",
      "((-1, 0, 0, 0), (10, 0, -1, -3), (3, 0, 0, -1))\n",
      "((12, 0, -2, -3), (10, 0, -1, -3), (3, 0, 0, -1))\n",
      "[-47.931053606169144, 338.38266025866574, 1462.3481870617502]\n",
      "0\n",
      "None\n",
      "[-47.931053606169144, 338.38266025866574, 1462.3481870617502]\n",
      "((12, 0, -2, -3), (10, 0, -1, -3), (3, 0, 0, -1))\n",
      "((-1, 0, 0, 0), (10, 0, -1, -3), (3, 0, 0, -1))\n",
      "[31.174093530875325, 338.38266025866574, 1462.3481870617502]\n",
      "2\n",
      "None\n",
      "[31.174093530875325, 338.38266025866574, 1462.3481870617502]\n",
      "((-1, 0, 0, 0), (10, 0, -1, -3), (3, 0, 0, -1))\n",
      "((-1, 0, 0, 0), (10, 0, -1, -3), (8, 0, -1, -2))\n",
      "[31.174093530875325, 338.38266025866574, 1307.2085667277904]\n",
      "0\n",
      "None\n",
      "[31.174093530875325, 338.38266025866574, 1307.2085667277904]\n",
      "((-1, 0, 0, 0), (10, 0, -1, -3), (8, 0, -1, -2))\n",
      "((7, 0, -1, -2), (10, 0, -1, -3), (8, 0, -1, -2))\n",
      "[107.20856672779041, 338.38266025866574, 1307.2085667277904]\n",
      "2\n",
      "None\n",
      "[107.20856672779041, 338.38266025866574, 1307.2085667277904]\n",
      "((7, 0, -1, -2), (10, 0, -1, -3), (8, 0, -1, -2))\n",
      "((7, 0, -1, -2), (10, 0, -1, -3), (13, 0, -2, -3))\n",
      "[107.20856672779041, 338.38266025866574, 1152.068946393831]\n",
      "0\n",
      "-200.0\n",
      "[107.20856672779041, 338.38266025866574, 1152.068946393831]\n",
      "((7, 0, -1, -2), (10, 0, -1, -3), (13, 0, -2, -3))\n",
      "((12, 0, -2, -3), (10, 0, -1, -3), (13, 0, -2, -3))\n",
      "[152.06894639383086, 538.3826602586657, 1352.068946393831]\n",
      "2\n",
      "1800.0\n",
      "[152.06894639383086, 538.3826602586657, 1352.068946393831]\n",
      "((12, 0, -2, -3), (10, 0, -1, -3), (13, 0, -2, -3))\n",
      "((12, 0, -2, -3), (10, 0, -1, -3), (11, 0, -1, -3))\n",
      "[-1647.9310536061691, -1261.6173397413343, -61.61733974133426]\n",
      "2\n",
      "-100.0\n",
      "[-1647.9310536061691, -1261.6173397413343, -61.61733974133426]\n",
      "((12, 0, -2, -3), (10, 0, -1, -3), (11, 0, -1, -3))\n",
      "((12, 0, -2, -3), (10, 0, -1, -3), (16, 0, -2, -4))\n",
      "[-1547.9310536061691, -1161.6173397413343, -116.75696007529402]\n",
      "2\n",
      "-300.0\n",
      "[-1547.9310536061691, -1161.6173397413343, -116.75696007529402]\n",
      "((12, 0, -2, -3), (10, 0, -1, -3), (16, 0, -2, -4))\n",
      "((12, 0, -2, -3), (10, 0, -1, -3), (8, 0, -1, -2))\n",
      "[-1247.9310536061691, -861.6173397413343, 107.2085667277905]\n",
      "2\n",
      "None\n",
      "[-1247.9310536061691, -861.6173397413343, 107.2085667277905]\n",
      "((12, 0, -2, -3), (10, 0, -1, -3), (8, 0, -1, -2))\n",
      "((12, 0, -2, -3), (10, 0, -1, -3), (16, 0, -2, -4))\n",
      "[-1247.9310536061691, -861.6173397413343, 183.24303992470598]\n",
      "2\n",
      "None\n",
      "[-1247.9310536061691, -861.6173397413343, 183.24303992470598]\n",
      "((12, 0, -2, -3), (10, 0, -1, -3), (16, 0, -2, -4))\n",
      "((12, 0, -2, -3), (10, 0, -1, -3), (8, 0, -1, -2))\n",
      "[-1247.9310536061691, -861.6173397413343, 107.2085667277905]\n",
      "2\n",
      "None\n",
      "[-1247.9310536061691, -861.6173397413343, 107.2085667277905]\n",
      "((12, 0, -2, -3), (10, 0, -1, -3), (8, 0, -1, -2))\n",
      "((12, 0, -2, -3), (10, 0, -1, -3), (16, 0, -2, -4))\n",
      "[-1247.9310536061691, -861.6173397413343, 183.24303992470598]\n",
      "2\n",
      "-200.0\n",
      "[-1247.9310536061691, -861.6173397413343, 183.24303992470598]\n",
      "((12, 0, -2, -3), (10, 0, -1, -3), (16, 0, -2, -4))\n",
      "((12, 0, -2, -3), (10, 0, -1, -3), (13, 0, -2, -3))\n",
      "[-1047.9310536061691, -661.6173397413343, 152.06894639383106]\n",
      "0\n",
      "None\n",
      "[-1047.9310536061691, -661.6173397413343, 152.06894639383106]\n",
      "((12, 0, -2, -3), (10, 0, -1, -3), (13, 0, -2, -3))\n",
      "((8, 1, -1, -3), (10, 0, -1, -3), (13, 0, -2, -3))\n",
      "[-1159.6623388759467, -661.6173397413343, 152.06894639383106]\n",
      "1\n",
      "None\n",
      "[-1159.6623388759467, -661.6173397413343, 152.06894639383106]\n",
      "((8, 1, -1, -3), (10, 0, -1, -3), (13, 0, -2, -3))\n",
      "((8, 1, -1, -3), (14, -1, -2, -3), (13, 0, -2, -3))\n",
      "[-1159.6623388759467, -549.8860544715565, 152.06894639383106]\n",
      "0\n",
      "None\n",
      "[-1159.6623388759467, -549.8860544715565, 152.06894639383106]\n",
      "((8, 1, -1, -3), (14, -1, -2, -3), (13, 0, -2, -3))\n",
      "((12, 0, -2, -3), (14, -1, -2, -3), (13, 0, -2, -3))\n",
      "[-1047.9310536061691, -549.8860544715565, 152.06894639383106]\n",
      "2\n",
      "None\n",
      "[-1047.9310536061691, -549.8860544715565, 152.06894639383106]\n",
      "((12, 0, -2, -3), (14, -1, -2, -3), (13, 0, -2, -3))\n",
      "((12, 0, -2, -3), (14, -1, -2, -3), (17, -1, -3, -3))\n",
      "[-1047.9310536061691, -549.8860544715565, 263.80023166360866]\n",
      "1\n",
      "None\n",
      "[-1047.9310536061691, -549.8860544715565, 263.80023166360866]\n",
      "((12, 0, -2, -3), (14, -1, -2, -3), (17, -1, -3, -3))\n",
      "((12, 0, -2, -3), (18, -2, -3, -3), (17, -1, -3, -3))\n",
      "[-1047.9310536061691, -438.1547692017791, 263.80023166360866]\n",
      "0\n",
      "None\n",
      "[-1047.9310536061691, -438.1547692017791, 263.80023166360866]\n",
      "((12, 0, -2, -3), (18, -2, -3, -3), (17, -1, -3, -3))\n",
      "((19, -3, -3, -3), (18, -2, -3, -3), (17, -1, -3, -3))\n",
      "[-1140.1097700671664, -438.1547692017791, 263.80023166360866]\n",
      "1\n",
      "None\n",
      "[-1140.1097700671664, -438.1547692017791, 263.80023166360866]\n",
      "((19, -3, -3, -3), (18, -2, -3, -3), (17, -1, -3, -3))\n",
      "((19, -3, -3, -3), (14, -1, -2, -3), (17, -1, -3, -3))\n",
      "[-1140.1097700671664, -549.8860544715565, 263.80023166360866]\n",
      "0\n",
      "-1000.0\n",
      "[-1140.1097700671664, -549.8860544715565, 263.80023166360866]\n",
      "((19, -3, -3, -3), (14, -1, -2, -3), (17, -1, -3, -3))\n",
      "((12, 0, -2, -3), (14, -1, -2, -3), (17, -1, -3, -3))\n",
      "[-47.931053606169144, 450.11394552844354, 1263.8002316636087]\n",
      "2\n",
      "None\n",
      "[-47.931053606169144, 450.11394552844354, 1263.8002316636087]\n",
      "((12, 0, -2, -3), (14, -1, -2, -3), (17, -1, -3, -3))\n",
      "((12, 0, -2, -3), (14, -1, -2, -3), (13, 0, -2, -3))\n",
      "[-47.931053606169144, 450.11394552844354, 1152.068946393831]\n",
      "1\n",
      "500.0\n",
      "[-47.931053606169144, 450.11394552844354, 1152.068946393831]\n",
      "((12, 0, -2, -3), (14, -1, -2, -3), (13, 0, -2, -3))\n",
      "((12, 0, -2, -3), (10, 0, -1, -3), (13, 0, -2, -3))\n",
      "[-547.9310536061691, -161.61733974133426, 652.0689463938311]\n",
      "2\n",
      "700.0\n",
      "[-547.9310536061691, -161.61733974133426, 652.0689463938311]\n",
      "((12, 0, -2, -3), (10, 0, -1, -3), (13, 0, -2, -3))\n",
      "((12, 0, -2, -3), (10, 0, -1, -3), (9, 1, -1, -3))\n",
      "[-1247.9310536061691, -861.6173397413343, -159.6623388759466]\n",
      "0\n",
      "-1400.0\n",
      "[-1247.9310536061691, -861.6173397413343, -159.6623388759466]\n",
      "((12, 0, -2, -3), (10, 0, -1, -3), (9, 1, -1, -3))\n",
      "((8, 1, -1, -3), (10, 0, -1, -3), (9, 1, -1, -3))\n",
      "[40.337661124053284, 538.3826602586657, 1240.3376611240533]\n",
      "1\n",
      "500.0\n",
      "[40.337661124053284, 538.3826602586657, 1240.3376611240533]\n",
      "((8, 1, -1, -3), (10, 0, -1, -3), (9, 1, -1, -3))\n",
      "((8, 1, -1, -3), (6, 1, 0, -3), (9, 1, -1, -3))\n",
      "[-459.6623388759467, -73.34862501111206, 740.3376611240533]\n",
      "2\n",
      "700.0\n",
      "[-459.6623388759467, -73.34862501111206, 740.3376611240533]\n",
      "((8, 1, -1, -3), (6, 1, 0, -3), (9, 1, -1, -3))\n",
      "((8, 1, -1, -3), (6, 1, 0, -3), (5, 2, 0, -3))\n",
      "[-1159.6623388759467, -773.3486250111121, -71.39362414572463]\n",
      "1\n",
      "None\n",
      "[-1159.6623388759467, -773.3486250111121, -71.39362414572463]\n",
      "((8, 1, -1, -3), (6, 1, 0, -3), (5, 2, 0, -3))\n",
      "((8, 1, -1, -3), (10, 0, -1, -3), (5, 2, 0, -3))\n",
      "[-1159.6623388759467, -661.6173397413343, -71.39362414572463]\n",
      "1\n",
      "None\n",
      "[-1159.6623388759467, -661.6173397413343, -71.39362414572463]\n",
      "((8, 1, -1, -3), (10, 0, -1, -3), (5, 2, 0, -3))\n",
      "((8, 1, -1, -3), (6, 1, 0, -3), (5, 2, 0, -3))\n",
      "[-1159.6623388759467, -773.3486250111121, -71.39362414572463]\n",
      "1\n",
      "None\n",
      "[-1159.6623388759467, -773.3486250111121, -71.39362414572463]\n",
      "((8, 1, -1, -3), (6, 1, 0, -3), (5, 2, 0, -3))\n",
      "((8, 1, -1, -3), (10, 0, -1, -3), (5, 2, 0, -3))\n",
      "[-1159.6623388759467, -661.6173397413343, -71.39362414572463]\n",
      "1\n",
      "-1000.0\n",
      "[-1159.6623388759467, -661.6173397413343, -71.39362414572463]\n",
      "((8, 1, -1, -3), (10, 0, -1, -3), (5, 2, 0, -3))\n",
      "((8, 1, -1, -3), (6, 1, 0, -3), (5, 2, 0, -3))\n",
      "[-159.66233887594672, 226.65137498888794, 928.6063758542754]\n",
      "1\n",
      "100.0\n",
      "[-159.66233887594672, 226.65137498888794, 928.6063758542754]\n",
      "((8, 1, -1, -3), (6, 1, 0, -3), (5, 2, 0, -3))\n",
      "((8, 1, -1, -3), (2, 2, 1, -3), (5, 2, 0, -3))\n",
      "[-259.6623388759467, 14.920089719110138, 828.6063758542754]\n",
      "0\n",
      "None\n",
      "[-259.6623388759467, 14.920089719110138, 828.6063758542754]\n",
      "((8, 1, -1, -3), (2, 2, 1, -3), (5, 2, 0, -3))\n",
      "((-1, 2, 1, -2), (2, 2, 1, -3), (5, 2, 0, -3))\n",
      "[-216.25400381176496, 14.920089719110138, 828.6063758542754]\n",
      "0\n",
      "None\n",
      "[-216.25400381176496, 14.920089719110138, 828.6063758542754]\n",
      "((-1, 2, 1, -2), (2, 2, 1, -3), (5, 2, 0, -3))\n",
      "((7, 2, 0, -4), (2, 2, 1, -3), (5, 2, 0, -3))\n",
      "[-140.21953061484942, 14.920089719110138, 828.6063758542754]\n",
      "0\n",
      "None\n",
      "[-140.21953061484942, 14.920089719110138, 828.6063758542754]\n",
      "((7, 2, 0, -4), (2, 2, 1, -3), (5, 2, 0, -3))\n",
      "((-1, 2, 1, -2), (2, 2, 1, -3), (5, 2, 0, -3))\n",
      "[-216.25400381176496, 14.920089719110138, 828.6063758542754]\n",
      "0\n",
      "-600.0\n",
      "[-216.25400381176496, 14.920089719110138, 828.6063758542754]\n",
      "((-1, 2, 1, -2), (2, 2, 1, -3), (5, 2, 0, -3))\n",
      "((1, 2, 0, -2), (2, 2, 1, -3), (5, 2, 0, -3))\n",
      "[-2.567717676599841, 614.9200897191101, 1428.6063758542755]\n",
      "1\n",
      "None\n",
      "[-2.567717676599841, 614.9200897191101, 1428.6063758542755]\n",
      "((1, 2, 0, -2), (2, 2, 1, -3), (5, 2, 0, -3))\n",
      "((1, 2, 0, -2), (0, 3, 0, -2), (5, 2, 0, -3))\n",
      "[-2.567717676599841, 699.3872831887875, 1428.6063758542755]\n",
      "1\n",
      "None\n",
      "[-2.567717676599841, 699.3872831887875, 1428.6063758542755]\n",
      "((1, 2, 0, -2), (0, 3, 0, -2), (5, 2, 0, -3))\n",
      "((1, 2, 0, -2), (6, 1, 0, -3), (5, 2, 0, -3))\n",
      "[-2.567717676599841, 726.6513749888879, 1428.6063758542755]\n",
      "0\n",
      "None\n",
      "[-2.567717676599841, 726.6513749888879, 1428.6063758542755]\n",
      "((1, 2, 0, -2), (6, 1, 0, -3), (5, 2, 0, -3))\n",
      "((7, 0, 0, -3), (6, 1, 0, -3), (5, 2, 0, -3))\n",
      "[24.69637412350039, 726.6513749888879, 1428.6063758542755]\n",
      "2\n",
      "None\n",
      "[24.69637412350039, 726.6513749888879, 1428.6063758542755]\n",
      "((7, 0, 0, -3), (6, 1, 0, -3), (5, 2, 0, -3))\n",
      "((7, 0, 0, -3), (6, 1, 0, -3), (11, 0, 0, -4))\n",
      "[24.69637412350039, 726.6513749888879, 1455.8704676543757]\n",
      "1\n",
      "None\n",
      "[24.69637412350039, 726.6513749888879, 1455.8704676543757]\n",
      "((7, 0, 0, -3), (6, 1, 0, -3), (11, 0, 0, -4))\n",
      "((7, 0, 0, -3), (12, -1, 0, -4), (11, 0, 0, -4))\n",
      "[24.69637412350039, 753.9154667889879, 1455.8704676543757]\n",
      "2\n",
      "None\n",
      "[24.69637412350039, 753.9154667889879, 1455.8704676543757]\n",
      "((7, 0, 0, -3), (12, -1, 0, -4), (11, 0, 0, -4))\n",
      "((7, 0, 0, -3), (12, -1, 0, -4), (15, -1, -1, -4))\n",
      "[24.69637412350039, 753.9154667889879, 1567.6017529241535]\n",
      "1\n",
      "300.0\n",
      "[24.69637412350039, 753.9154667889879, 1567.6017529241535]\n",
      "((7, 0, 0, -3), (12, -1, 0, -4), (15, -1, -1, -4))\n",
      "((7, 0, 0, -3), (9, -1, 0, -3), (15, -1, -1, -4))\n",
      "[-275.3036258764996, 222.74137325811307, 1267.6017529241535]\n",
      "0\n",
      "None\n",
      "[-275.3036258764996, 222.74137325811307, 1267.6017529241535]\n",
      "((7, 0, 0, -3), (9, -1, 0, -3), (15, -1, -1, -4))\n",
      "((16, -1, -2, -4), (9, -1, 0, -3), (15, -1, -1, -4))\n",
      "[-318.7119609406816, 222.74137325811307, 1267.6017529241535]\n",
      "0\n",
      "-200.0\n",
      "[-318.7119609406816, 222.74137325811307, 1267.6017529241535]\n",
      "((16, -1, -2, -4), (9, -1, 0, -3), (15, -1, -1, -4))\n",
      "((7, 0, 0, -3), (9, -1, 0, -3), (15, -1, -1, -4))\n",
      "[-75.30362587649961, 422.7413732581131, 1467.6017529241535]\n",
      "2\n",
      "1100.0\n",
      "[-75.30362587649961, 422.7413732581131, 1467.6017529241535]\n",
      "((7, 0, 0, -3), (9, -1, 0, -3), (15, -1, -1, -4))\n",
      "((7, 0, 0, -3), (9, -1, 0, -3), (8, 0, 0, -3))\n",
      "[-1175.3036258764996, -677.2586267418869, 24.69637412350062]\n",
      "1\n",
      "-200.0\n",
      "[-1175.3036258764996, -677.2586267418869, 24.69637412350062]\n",
      "((7, 0, 0, -3), (9, -1, 0, -3), (8, 0, 0, -3))\n",
      "((7, 0, 0, -3), (5, 0, 0, -2), (8, 0, 0, -3))\n",
      "[-975.3036258764996, -6.477719407374707, 224.69637412350062]\n",
      "1\n",
      "100.0\n",
      "[-975.3036258764996, -6.477719407374707, 224.69637412350062]\n",
      "((7, 0, 0, -3), (5, 0, 0, -2), (8, 0, 0, -3))\n",
      "((7, 0, 0, -3), (10, 0, -1, -3), (8, 0, 0, -3))\n",
      "[-1075.3036258764996, -261.61733974133426, 124.69637412350062]\n",
      "0\n",
      "None\n",
      "[-1075.3036258764996, -261.61733974133426, 124.69637412350062]\n",
      "((7, 0, 0, -3), (10, 0, -1, -3), (8, 0, 0, -3))\n",
      "((11, -1, -1, -3), (10, 0, -1, -3), (8, 0, 0, -3))\n",
      "[-963.5723406067216, -261.61733974133426, 124.69637412350062]\n",
      "0\n",
      "None\n",
      "[-963.5723406067216, -261.61733974133426, 124.69637412350062]\n",
      "((11, -1, -1, -3), (10, 0, -1, -3), (8, 0, 0, -3))\n",
      "((7, 0, 0, -3), (10, 0, -1, -3), (8, 0, 0, -3))\n",
      "[-1075.3036258764996, -261.61733974133426, 124.69637412350062]\n",
      "2\n",
      "200.0\n",
      "[-1075.3036258764996, -261.61733974133426, 124.69637412350062]\n",
      "((7, 0, 0, -3), (10, 0, -1, -3), (8, 0, 0, -3))\n",
      "((7, 0, 0, -3), (10, 0, -1, -3), (12, -1, -1, -3))\n",
      "[-1275.3036258764996, -461.61733974133426, 36.42765939327842]\n",
      "0\n",
      "None\n",
      "[-1275.3036258764996, -461.61733974133426, 36.42765939327842]\n",
      "((7, 0, 0, -3), (10, 0, -1, -3), (12, -1, -1, -3))\n",
      "((11, -1, -1, -3), (10, 0, -1, -3), (12, -1, -1, -3))\n",
      "[-1163.5723406067216, -461.61733974133426, 36.42765939327842]\n",
      "0\n",
      "-1500.0\n",
      "[-1163.5723406067216, -461.61733974133426, 36.42765939327842]\n",
      "((11, -1, -1, -3), (10, 0, -1, -3), (12, -1, -1, -3))\n",
      "((12, 0, -1, -4), (10, 0, -1, -3), (12, -1, -1, -3))\n",
      "[69.55675378954083, 1038.3826602586657, 1536.4276593932784]\n",
      "1\n",
      "None\n",
      "[69.55675378954083, 1038.3826602586657, 1536.4276593932784]\n",
      "((12, 0, -1, -4), (10, 0, -1, -3), (12, -1, -1, -3))\n",
      "((12, 0, -1, -4), (14, -1, -2, -3), (12, -1, -1, -3))\n",
      "[69.55675378954083, 1150.1139455284435, 1536.4276593932784]\n",
      "0\n",
      "700.0\n",
      "[69.55675378954083, 1150.1139455284435, 1536.4276593932784]\n",
      "((12, 0, -1, -4), (14, -1, -2, -3), (12, -1, -1, -3))\n",
      "((12, 0, -2, -3), (14, -1, -2, -3), (12, -1, -1, -3))\n",
      "[-47.931053606169144, 450.11394552844354, 836.4276593932784]\n",
      "0\n",
      "100.0\n",
      "[-47.931053606169144, 450.11394552844354, 836.4276593932784]\n",
      "((12, 0, -2, -3), (14, -1, -2, -3), (12, -1, -1, -3))\n",
      "((16, -1, -3, -3), (14, -1, -2, -3), (12, -1, -1, -3))\n",
      "[-36.19976833639157, 350.11394552844354, 736.4276593932784]\n",
      "1\n",
      "None\n",
      "[-36.19976833639157, 350.11394552844354, 736.4276593932784]\n",
      "((16, -1, -3, -3), (14, -1, -2, -3), (12, -1, -1, -3))\n",
      "((16, -1, -3, -3), (10, 0, -1, -3), (12, -1, -1, -3))\n",
      "[-36.19976833639157, 238.38266025866574, 736.4276593932784]\n",
      "1\n",
      "None\n",
      "[-36.19976833639157, 238.38266025866574, 736.4276593932784]\n",
      "((16, -1, -3, -3), (10, 0, -1, -3), (12, -1, -1, -3))\n",
      "((16, -1, -3, -3), (19, -1, -3, -4), (12, -1, -1, -3))\n",
      "[-36.19976833639157, 194.97432519448364, 736.4276593932784]\n",
      "0\n",
      "-500.0\n",
      "[-36.19976833639157, 194.97432519448364, 736.4276593932784]\n",
      "((16, -1, -3, -3), (19, -1, -3, -4), (12, -1, -1, -3))\n",
      "((20, -2, -3, -4), (19, -1, -3, -4), (12, -1, -1, -3))\n",
      "[-6.980675670903565, 694.9743251944836, 1236.4276593932784]\n",
      "1\n",
      "500.0\n",
      "[-6.980675670903565, 694.9743251944836, 1236.4276593932784]\n",
      "((20, -2, -3, -4), (19, -1, -3, -4), (12, -1, -1, -3))\n",
      "((20, -2, -3, -4), (13, -2, -1, -3), (12, -1, -1, -3))\n",
      "[-506.98067567090357, 34.472658527890644, 736.4276593932784]\n",
      "2\n",
      "None\n",
      "[-506.98067567090357, 34.472658527890644, 736.4276593932784]\n",
      "((20, -2, -3, -4), (13, -2, -1, -3), (12, -1, -1, -3))\n",
      "((20, -2, -3, -4), (13, -2, -1, -3), (16, -2, -2, -3))\n",
      "[-506.98067567090357, 34.472658527890644, 848.1589446630562]\n",
      "2\n",
      "None\n",
      "[-506.98067567090357, 34.472658527890644, 848.1589446630562]\n",
      "((20, -2, -3, -4), (13, -2, -1, -3), (16, -2, -2, -3))\n",
      "((20, -2, -3, -4), (13, -2, -1, -3), (24, -2, -3, -5))\n",
      "[-506.98067567090357, 34.472658527890644, 924.1934178599713]\n",
      "2\n",
      "None\n",
      "[-506.98067567090357, 34.472658527890644, 924.1934178599713]\n",
      "((20, -2, -3, -4), (13, -2, -1, -3), (24, -2, -3, -5))\n",
      "((20, -2, -3, -4), (13, -2, -1, -3), (16, -2, -2, -3))\n",
      "[-506.98067567090357, 34.472658527890644, 848.1589446630562]\n",
      "2\n",
      "None\n",
      "[-506.98067567090357, 34.472658527890644, 848.1589446630562]\n",
      "((20, -2, -3, -4), (13, -2, -1, -3), (16, -2, -2, -3))\n",
      "((20, -2, -3, -4), (13, -2, -1, -3), (24, -2, -3, -5))\n",
      "[-506.98067567090357, 34.472658527890644, 924.1934178599713]\n",
      "2\n",
      "400.0\n",
      "[-506.98067567090357, 34.472658527890644, 924.1934178599713]\n",
      "((20, -2, -3, -4), (13, -2, -1, -3), (24, -2, -3, -5))\n",
      "((20, -2, -3, -4), (13, -2, -1, -3), (11, -2, 0, -3))\n",
      "[-906.9806756709036, -365.52734147210936, 20.786372392725866]\n",
      "1\n",
      "None\n",
      "[-906.9806756709036, -365.52734147210936, 20.786372392725866]\n",
      "((20, -2, -3, -4), (13, -2, -1, -3), (11, -2, 0, -3))\n",
      "((20, -2, -3, -4), (22, -3, -3, -4), (11, -2, 0, -3))\n",
      "[-906.9806756709036, -408.93567653629134, 20.786372392725866]\n",
      "2\n",
      "700.0\n",
      "[-906.9806756709036, -408.93567653629134, 20.786372392725866]\n",
      "((20, -2, -3, -4), (22, -3, -3, -4), (11, -2, 0, -3))\n",
      "((20, -2, -3, -4), (22, -3, -3, -4), (19, -2, -2, -4))\n",
      "[-1606.9806756709036, -1108.9356765362913, -20.666961806068684]\n",
      "2\n",
      "100.0\n",
      "[-1606.9806756709036, -1108.9356765362913, -20.666961806068684]\n",
      "((20, -2, -3, -4), (22, -3, -3, -4), (19, -2, -2, -4))\n",
      "((20, -2, -3, -4), (22, -3, -3, -4), (23, -3, -3, -4))\n",
      "[-1706.9806756709036, -1208.9356765362913, -8.935676536291083]\n",
      "1\n",
      "None\n",
      "[-1706.9806756709036, -1208.9356765362913, -8.935676536291083]\n",
      "((20, -2, -3, -4), (22, -3, -3, -4), (23, -3, -3, -4))\n",
      "((20, -2, -3, -4), (18, -2, -2, -4), (23, -3, -3, -4))\n",
      "[-1706.9806756709036, -1320.6669618060687, -8.935676536291083]\n",
      "1\n",
      "None\n",
      "[-1706.9806756709036, -1320.6669618060687, -8.935676536291083]\n",
      "((20, -2, -3, -4), (18, -2, -2, -4), (23, -3, -3, -4))\n",
      "((20, -2, -3, -4), (22, -3, -3, -4), (23, -3, -3, -4))\n",
      "[-1706.9806756709036, -1208.9356765362913, -8.935676536291083]\n",
      "2\n",
      "-500.0\n",
      "[-1706.9806756709036, -1208.9356765362913, -8.935676536291083]\n",
      "((20, -2, -3, -4), (22, -3, -3, -4), (23, -3, -3, -4))\n",
      "((20, -2, -3, -4), (22, -3, -3, -4), (21, -2, -3, -4))\n",
      "[-1206.9806756709036, -708.9356765362913, -6.980675670903565]\n",
      "1\n",
      "-500.0\n",
      "[-1206.9806756709036, -708.9356765362913, -6.980675670903565]\n",
      "((20, -2, -3, -4), (22, -3, -3, -4), (21, -2, -3, -4))\n",
      "((20, -2, -3, -4), (19, -1, -3, -4), (21, -2, -3, -4))\n",
      "[-706.9806756709036, -5.02567480551636, 493.01932432909643]\n",
      "0\n",
      "None\n",
      "[-706.9806756709036, -5.02567480551636, 493.01932432909643]\n",
      "((20, -2, -3, -4), (19, -1, -3, -4), (21, -2, -3, -4))\n",
      "((16, -1, -2, -4), (19, -1, -3, -4), (21, -2, -3, -4))\n",
      "[-818.7119609406816, -5.02567480551636, 493.01932432909643]\n",
      "1\n",
      "-300.0\n",
      "[-818.7119609406816, -5.02567480551636, 493.01932432909643]\n",
      "((16, -1, -2, -4), (19, -1, -3, -4), (21, -2, -3, -4))\n",
      "((16, -1, -2, -4), (18, -2, -2, -4), (21, -2, -3, -4))\n",
      "[-518.7119609406816, -20.666961806068684, 793.0193243290964]\n",
      "0\n",
      "None\n",
      "[-518.7119609406816, -20.666961806068684, 793.0193243290964]\n",
      "((16, -1, -2, -4), (18, -2, -2, -4), (21, -2, -3, -4))\n",
      "((20, -2, -3, -4), (18, -2, -2, -4), (21, -2, -3, -4))\n",
      "[-406.98067567090357, -20.666961806068684, 793.0193243290964]\n",
      "2\n",
      "None\n",
      "[-406.98067567090357, -20.666961806068684, 793.0193243290964]\n",
      "((20, -2, -3, -4), (18, -2, -2, -4), (21, -2, -3, -4))\n",
      "((20, -2, -3, -4), (18, -2, -2, -4), (17, -1, -2, -4))\n",
      "[-406.98067567090357, -20.666961806068684, 681.2880390593186]\n",
      "0\n",
      "-200.0\n",
      "[-406.98067567090357, -20.666961806068684, 681.2880390593186]\n",
      "((20, -2, -3, -4), (18, -2, -2, -4), (17, -1, -2, -4))\n",
      "((19, -1, -2, -5), (18, -2, -2, -4), (17, -1, -2, -4))\n",
      "[-87.5378674098065, 179.33303819393132, 881.2880390593186]\n",
      "2\n",
      "None\n",
      "[-87.5378674098065, 179.33303819393132, 881.2880390593186]\n",
      "((19, -1, -2, -5), (18, -2, -2, -4), (17, -1, -2, -4))\n",
      "((19, -1, -2, -5), (18, -2, -2, -4), (21, -2, -3, -4))\n",
      "[-87.5378674098065, 179.33303819393132, 993.0193243290964]\n",
      "2\n",
      "None\n",
      "[-87.5378674098065, 179.33303819393132, 993.0193243290964]\n",
      "((19, -1, -2, -5), (18, -2, -2, -4), (21, -2, -3, -4))\n",
      "((19, -1, -2, -5), (18, -2, -2, -4), (17, -1, -2, -4))\n",
      "[-87.5378674098065, 179.33303819393132, 881.2880390593186]\n",
      "2\n",
      "1200.0\n",
      "[-87.5378674098065, 179.33303819393132, 881.2880390593186]\n",
      "((19, -1, -2, -5), (18, -2, -2, -4), (17, -1, -2, -4))\n",
      "((19, -1, -2, -5), (18, -2, -2, -4), (21, -2, -3, -4))\n",
      "[-1287.5378674098065, -1020.6669618060687, -206.98067567090357]\n",
      "2\n",
      "None\n",
      "[-1287.5378674098065, -1020.6669618060687, -206.98067567090357]\n",
      "((19, -1, -2, -5), (18, -2, -2, -4), (21, -2, -3, -4))\n",
      "((19, -1, -2, -5), (18, -2, -2, -4), (17, -1, -2, -4))\n",
      "[-1287.5378674098065, -1020.6669618060687, -318.71196094068137]\n",
      "2\n",
      "None\n",
      "[-1287.5378674098065, -1020.6669618060687, -318.71196094068137]\n",
      "((19, -1, -2, -5), (18, -2, -2, -4), (17, -1, -2, -4))\n",
      "((19, -1, -2, -5), (18, -2, -2, -4), (21, -2, -3, -4))\n",
      "[-1287.5378674098065, -1020.6669618060687, -206.98067567090357]\n",
      "2\n",
      "-300.0\n",
      "[-1287.5378674098065, -1020.6669618060687, -206.98067567090357]\n",
      "((19, -1, -2, -5), (18, -2, -2, -4), (21, -2, -3, -4))\n",
      "((19, -1, -2, -5), (18, -2, -2, -4), (17, -1, -2, -4))\n",
      "[-987.5378674098065, -720.6669618060687, -18.711960940681365]\n",
      "0\n",
      "None\n",
      "[-987.5378674098065, -720.6669618060687, -18.711960940681365]\n",
      "((19, -1, -2, -5), (18, -2, -2, -4), (17, -1, -2, -4))\n",
      "((15, -2, -2, -3), (18, -2, -2, -4), (17, -1, -2, -4))\n",
      "[-951.841055336944, -720.6669618060687, -18.711960940681365]\n",
      "1\n",
      "None\n",
      "[-951.841055336944, -720.6669618060687, -18.711960940681365]\n",
      "((15, -2, -2, -3), (18, -2, -2, -4), (17, -1, -2, -4))\n",
      "((15, -2, -2, -3), (14, -1, -1, -4), (17, -1, -2, -4))\n",
      "[-951.841055336944, -832.3982470758467, -18.711960940681365]\n",
      "1\n",
      "None\n",
      "[-951.841055336944, -832.3982470758467, -18.711960940681365]\n",
      "((15, -2, -2, -3), (14, -1, -1, -4), (17, -1, -2, -4))\n",
      "((15, -2, -2, -3), (18, -2, -2, -4), (17, -1, -2, -4))\n",
      "[-951.841055336944, -720.6669618060687, -18.711960940681365]\n",
      "0\n",
      "None\n",
      "[-951.841055336944, -720.6669618060687, -18.711960940681365]\n",
      "((15, -2, -2, -3), (18, -2, -2, -4), (17, -1, -2, -4))\n",
      "((19, -1, -2, -5), (18, -2, -2, -4), (17, -1, -2, -4))\n",
      "[-987.5378674098065, -720.6669618060687, -18.711960940681365]\n",
      "1\n",
      "None\n",
      "[-987.5378674098065, -720.6669618060687, -18.711960940681365]\n",
      "((19, -1, -2, -5), (18, -2, -2, -4), (17, -1, -2, -4))\n",
      "((19, -1, -2, -5), (22, -1, -2, -6), (17, -1, -2, -4))\n",
      "[-987.5378674098065, -756.3637738789316, -18.711960940681365]\n",
      "0\n",
      "None\n",
      "[-987.5378674098065, -756.3637738789316, -18.711960940681365]\n",
      "((19, -1, -2, -5), (22, -1, -2, -6), (17, -1, -2, -4))\n",
      "((24, -1, -3, -6), (22, -1, -2, -6), (17, -1, -2, -4))\n",
      "[-1142.677487743766, -756.3637738789316, -18.711960940681365]\n",
      "0\n",
      "-1200.0\n",
      "[-1142.677487743766, -756.3637738789316, -18.711960940681365]\n",
      "((24, -1, -3, -6), (22, -1, -2, -6), (17, -1, -2, -4))\n",
      "((20, 0, -2, -6), (22, -1, -2, -6), (17, -1, -2, -4))\n",
      "[-54.40877301354362, 443.6362261210684, 1181.2880390593186]\n",
      "1\n",
      "800.0\n",
      "[-54.40877301354362, 443.6362261210684, 1181.2880390593186]\n",
      "((20, 0, -2, -6), (22, -1, -2, -6), (17, -1, -2, -4))\n",
      "((20, 0, -2, -6), (19, -1, -3, -4), (17, -1, -2, -4))\n",
      "[-854.4087730135436, -5.02567480551636, 381.28803905931863]\n",
      "1\n",
      "100.0\n",
      "[-854.4087730135436, -5.02567480551636, 381.28803905931863]\n",
      "((20, 0, -2, -6), (19, -1, -3, -4), (17, -1, -2, -4))\n",
      "((20, 0, -2, -6), (18, 0, -2, -5), (17, -1, -2, -4))\n",
      "[-954.4087730135436, 14.417133455581052, 281.28803905931863]\n",
      "1\n",
      "-100.0\n",
      "[-954.4087730135436, 14.417133455581052, 281.28803905931863]\n",
      "((20, 0, -2, -6), (18, 0, -2, -5), (17, -1, -2, -4))\n",
      "((20, 0, -2, -6), (19, -1, -3, -4), (17, -1, -2, -4))\n",
      "[-854.4087730135436, -5.02567480551636, 381.28803905931863]\n",
      "0\n",
      "None\n",
      "[-854.4087730135436, -5.02567480551636, 381.28803905931863]\n",
      "((20, 0, -2, -6), (19, -1, -3, -4), (17, -1, -2, -4))\n",
      "((16, -1, -2, -4), (19, -1, -3, -4), (17, -1, -2, -4))\n",
      "[-818.7119609406816, -5.02567480551636, 381.28803905931863]\n",
      "0\n",
      "None\n",
      "[-818.7119609406816, -5.02567480551636, 381.28803905931863]\n",
      "((16, -1, -2, -4), (19, -1, -3, -4), (17, -1, -2, -4))\n",
      "((20, -2, -3, -4), (19, -1, -3, -4), (17, -1, -2, -4))\n",
      "[-706.9806756709036, -5.02567480551636, 381.28803905931863]\n",
      "1\n",
      "None\n",
      "[-706.9806756709036, -5.02567480551636, 381.28803905931863]\n",
      "((20, -2, -3, -4), (19, -1, -3, -4), (17, -1, -2, -4))\n",
      "((20, -2, -3, -4), (15, 0, -2, -4), (17, -1, -2, -4))\n",
      "[-706.9806756709036, -116.75696007529405, 381.28803905931863]\n",
      "0\n",
      "None\n",
      "[-706.9806756709036, -116.75696007529405, 381.28803905931863]\n",
      "((20, -2, -3, -4), (15, 0, -2, -4), (17, -1, -2, -4))\n",
      "((13, 1, -2, -4), (15, 0, -2, -4), (17, -1, -2, -4))\n",
      "[-614.8019592099067, -116.75696007529405, 381.28803905931863]\n",
      "0\n",
      "-500.0\n",
      "[-614.8019592099067, -116.75696007529405, 381.28803905931863]\n",
      "((13, 1, -2, -4), (15, 0, -2, -4), (17, -1, -2, -4))\n",
      "((17, 0, -3, -4), (15, 0, -2, -4), (17, -1, -2, -4))\n",
      "[-3.070673940128927, 383.24303992470595, 881.2880390593186]\n",
      "0\n",
      "100.0\n",
      "[-3.070673940128927, 383.24303992470595, 881.2880390593186]\n",
      "((17, 0, -3, -4), (15, 0, -2, -4), (17, -1, -2, -4))\n",
      "((14, -1, -1, -4), (15, 0, -2, -4), (17, -1, -2, -4))\n",
      "[-32.39824707584671, 283.24303992470595, 781.2880390593186]\n",
      "1\n",
      "None\n",
      "[-32.39824707584671, 283.24303992470595, 781.2880390593186]\n",
      "((14, -1, -1, -4), (15, 0, -2, -4), (17, -1, -2, -4))\n",
      "((14, -1, -1, -4), (12, -1, 0, -4), (17, -1, -2, -4))\n",
      "[-32.39824707584671, 353.91546678898794, 781.2880390593186]\n",
      "2\n",
      "None\n",
      "[-32.39824707584671, 353.91546678898794, 781.2880390593186]\n",
      "((14, -1, -1, -4), (12, -1, 0, -4), (17, -1, -2, -4))\n",
      "((14, -1, -1, -4), (12, -1, 0, -4), (10, -1, 1, -4))\n",
      "[-32.39824707584671, 353.91546678898794, 740.229180653823]\n",
      "0\n",
      "-100.0\n",
      "[-32.39824707584671, 353.91546678898794, 740.229180653823]\n",
      "((14, -1, -1, -4), (12, -1, 0, -4), (10, -1, 1, -4))\n",
      "((7, -1, 2, -4), (12, -1, 0, -4), (10, -1, 1, -4))\n",
      "[26.542894518657477, 453.91546678898794, 840.229180653823]\n",
      "1\n",
      "None\n",
      "[26.542894518657477, 453.91546678898794, 840.229180653823]\n",
      "((7, -1, 2, -4), (12, -1, 0, -4), (10, -1, 1, -4))\n",
      "((7, -1, 2, -4), (5, -1, 3, -4), (10, -1, 1, -4))\n",
      "[26.542894518657477, 412.85660838349247, 840.229180653823]\n",
      "2\n",
      "None\n",
      "[26.542894518657477, 412.85660838349247, 840.229180653823]\n",
      "((7, -1, 2, -4), (5, -1, 3, -4), (10, -1, 1, -4))\n",
      "((7, -1, 2, -4), (5, -1, 3, -4), (3, -1, 4, -4))\n",
      "[26.542894518657477, 412.85660838349247, 799.1703222483275]\n",
      "1\n",
      "700.0\n",
      "[26.542894518657477, 412.85660838349247, 799.1703222483275]\n",
      "((7, -1, 2, -4), (5, -1, 3, -4), (3, -1, 4, -4))\n",
      "((7, -1, 2, -4), (6, 0, 2, -4), (3, -1, 4, -4))\n",
      "[-673.4571054813425, 28.497895384045364, 99.17032224832747]\n",
      "0\n",
      "-500.0\n",
      "[-673.4571054813425, 28.497895384045364, 99.17032224832747]\n",
      "((7, -1, 2, -4), (6, 0, 2, -4), (3, -1, 4, -4))\n",
      "((4, 1, 2, -4), (6, 0, 2, -4), (3, -1, 4, -4))\n",
      "[30.45289624943257, 528.4978953840454, 599.1703222483275]\n",
      "2\n",
      "None\n",
      "[30.45289624943257, 528.4978953840454, 599.1703222483275]\n",
      "((4, 1, 2, -4), (6, 0, 2, -4), (3, -1, 4, -4))\n",
      "((4, 1, 2, -4), (6, 0, 2, -4), (3, 2, 2, -4))\n",
      "[30.45289624943257, 528.4978953840454, 732.4078971148201]\n",
      "2\n",
      "1000.0\n",
      "[30.45289624943257, 528.4978953840454, 732.4078971148201]\n",
      "((4, 1, 2, -4), (6, 0, 2, -4), (3, 2, 2, -4))\n",
      "((4, 1, 2, -4), (6, 0, 2, -4), (2, 1, 2, -3))\n",
      "[-969.5471037505674, -471.50210461595464, -0.7211972814423007]\n",
      "0\n",
      "-1100.0\n",
      "[-969.5471037505674, -471.50210461595464, -0.7211972814423007]\n",
      "((4, 1, 2, -4), (6, 0, 2, -4), (2, 1, 2, -3))\n",
      "((7, -1, 2, -4), (6, 0, 2, -4), (2, 1, 2, -3))\n",
      "[-73.45710548134252, 628.4978953840454, 1099.2788027185577]\n",
      "2\n",
      "1200.0\n",
      "[-73.45710548134252, 628.4978953840454, 1099.2788027185577]\n",
      "((7, -1, 2, -4), (6, 0, 2, -4), (2, 1, 2, -3))\n",
      "((7, -1, 2, -4), (6, 0, 2, -4), (8, -1, 2, -4))\n",
      "[-1273.4571054813425, -571.5021046159546, -73.4571054813423]\n",
      "0\n",
      "-1300.0\n",
      "[-1273.4571054813425, -571.5021046159546, -73.4571054813423]\n",
      "((7, -1, 2, -4), (6, 0, 2, -4), (8, -1, 2, -4))\n",
      "((3, 0, 3, -4), (6, 0, 2, -4), (8, -1, 2, -4))\n",
      "[-85.18839075111987, 728.4978953840454, 1226.5428945186577]\n",
      "1\n",
      "600.0\n",
      "[-85.18839075111987, 728.4978953840454, 1226.5428945186577]\n",
      "((3, 0, 3, -4), (6, 0, 2, -4), (8, -1, 2, -4))\n",
      "((3, 0, 3, -4), (2, 1, 3, -4), (8, -1, 2, -4))\n",
      "[-685.1883907511199, 16.76661011426745, 626.5428945186577]\n",
      "2\n",
      "600.0\n",
      "[-685.1883907511199, 16.76661011426745, 626.5428945186577]\n",
      "((3, 0, 3, -4), (2, 1, 3, -4), (8, -1, 2, -4))\n",
      "((3, 0, 3, -4), (2, 1, 3, -4), (4, 0, 3, -4))\n",
      "[-1285.1883907511199, -583.2333898857325, -85.18839075111987]\n",
      "1\n",
      "None\n",
      "[-1285.1883907511199, -583.2333898857325, -85.18839075111987]\n",
      "((3, 0, 3, -4), (2, 1, 3, -4), (4, 0, 3, -4))\n",
      "((3, 0, 3, -4), (6, 0, 2, -4), (4, 0, 3, -4))\n",
      "[-1285.1883907511199, -471.50210461595464, -85.18839075111987]\n",
      "2\n",
      "None\n",
      "[-1285.1883907511199, -471.50210461595464, -85.18839075111987]\n",
      "((3, 0, 3, -4), (6, 0, 2, -4), (4, 0, 3, -4))\n",
      "((3, 0, 3, -4), (6, 0, 2, -4), (8, -1, 2, -4))\n",
      "[-1285.1883907511199, -471.50210461595464, 26.542894518657704]\n",
      "1\n",
      "None\n",
      "[-1285.1883907511199, -471.50210461595464, 26.542894518657704]\n",
      "((3, 0, 3, -4), (6, 0, 2, -4), (8, -1, 2, -4))\n",
      "((3, 0, 3, -4), (10, -1, 1, -4), (8, -1, 2, -4))\n",
      "[-1285.1883907511199, -359.77081934617706, 26.542894518657704]\n",
      "2\n",
      "None\n",
      "[-1285.1883907511199, -359.77081934617706, 26.542894518657704]\n",
      "((3, 0, 3, -4), (10, -1, 1, -4), (8, -1, 2, -4))\n",
      "((3, 0, 3, -4), (10, -1, 1, -4), (7, 0, 3, -5))\n",
      "[-1285.1883907511199, -359.77081934617706, 145.98570277975512]\n",
      "1\n",
      "-700.0\n",
      "[-1285.1883907511199, -359.77081934617706, 145.98570277975512]\n",
      "((3, 0, 3, -4), (10, -1, 1, -4), (7, 0, 3, -5))\n",
      "((3, 0, 3, -4), (4, 0, 4, -5), (7, 0, 3, -5))\n",
      "[-585.1883907511199, 32.299416644589996, 845.9857027797551]\n",
      "0\n",
      "None\n",
      "[-585.1883907511199, 32.299416644589996, 845.9857027797551]\n",
      "((3, 0, 3, -4), (4, 0, 4, -5), (7, 0, 3, -5))\n",
      "((5, -1, 4, -5), (4, 0, 4, -5), (7, 0, 3, -5))\n",
      "[-669.6555842207981, 32.299416644589996, 845.9857027797551]\n",
      "2\n",
      "900.0\n",
      "[-669.6555842207981, 32.299416644589996, 845.9857027797551]\n",
      "((5, -1, 4, -5), (4, 0, 4, -5), (7, 0, 3, -5))\n",
      "((5, -1, 4, -5), (4, 0, 4, -5), (4, -1, 5, -5))\n",
      "[-1569.6555842207981, -867.70058335541, 16.65812964403699]\n",
      "0\n",
      "None\n",
      "[-1569.6555842207981, -867.70058335541, 16.65812964403699]\n",
      "((5, -1, 4, -5), (4, 0, 4, -5), (4, -1, 5, -5))\n",
      "((1, 0, 5, -5), (4, 0, 4, -5), (4, -1, 5, -5))\n",
      "[-1681.3868694905755, -867.70058335541, 16.65812964403699]\n",
      "0\n",
      "-1600.0\n",
      "[-1681.3868694905755, -867.70058335541, 16.65812964403699]\n",
      "((1, 0, 5, -5), (4, 0, 4, -5), (4, -1, 5, -5))\n",
      "((5, -1, 4, -5), (4, 0, 4, -5), (4, -1, 5, -5))\n",
      "[30.34441577920188, 732.29941664459, 1616.658129644037]\n",
      "1\n",
      "500.0\n",
      "[30.34441577920188, 732.29941664459, 1616.658129644037]\n",
      "((5, -1, 4, -5), (4, 0, 4, -5), (4, -1, 5, -5))\n",
      "((5, -1, 4, -5), (7, -2, 4, -5), (4, -1, 5, -5))\n",
      "[-469.6555842207981, 28.389414913815017, 1116.658129644037]\n",
      "1\n",
      "100.0\n",
      "[-469.6555842207981, 28.389414913815017, 1116.658129644037]\n",
      "((5, -1, 4, -5), (7, -2, 4, -5), (4, -1, 5, -5))\n",
      "((5, -1, 4, -5), (6, -1, 5, -6), (4, -1, 5, -5))\n",
      "[-569.6555842207981, 47.832223174911974, 1016.658129644037]\n",
      "2\n",
      "None\n",
      "[-569.6555842207981, 47.832223174911974, 1016.658129644037]\n",
      "((5, -1, 4, -5), (6, -1, 5, -6), (4, -1, 5, -5))\n",
      "((5, -1, 4, -5), (6, -1, 5, -6), (8, -2, 4, -5))\n",
      "[-569.6555842207981, 47.832223174911974, 1128.389414913815]\n",
      "2\n",
      "None\n",
      "[-569.6555842207981, 47.832223174911974, 1128.389414913815]\n",
      "((5, -1, 4, -5), (6, -1, 5, -6), (8, -2, 4, -5))\n",
      "((5, -1, 4, -5), (6, -1, 5, -6), (4, -1, 5, -5))\n",
      "[-569.6555842207981, 47.832223174911974, 1016.658129644037]\n",
      "2\n",
      "900.0\n",
      "[-569.6555842207981, 47.832223174911974, 1016.658129644037]\n",
      "((5, -1, 4, -5), (6, -1, 5, -6), (4, -1, 5, -5))\n",
      "((5, -1, 4, -5), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "[-1469.6555842207981, -852.167776825088, -38.481490689922566]\n",
      "0\n",
      "-1400.0\n",
      "[-1469.6555842207981, -852.167776825088, -38.481490689922566]\n",
      "((5, -1, 4, -5), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "((4, 0, 5, -6), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "[49.78722404029986, 547.832223174912, 1361.5185093100774]\n",
      "1\n",
      "700.0\n",
      "[49.78722404029986, 547.832223174912, 1361.5185093100774]\n",
      "((4, 0, 5, -6), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "((4, 0, 5, -6), (10, -2, 4, -6), (9, -1, 4, -6))\n",
      "[-650.2127759597001, -40.436491555309885, 661.5185093100774]\n",
      "1\n",
      "-100.0\n",
      "[-650.2127759597001, -40.436491555309885, 661.5185093100774]\n",
      "((4, 0, 5, -6), (10, -2, 4, -6), (9, -1, 4, -6))\n",
      "((4, 0, 5, -6), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "[-550.2127759597001, -52.167776825088026, 761.5185093100774]\n",
      "2\n",
      "None\n",
      "[-550.2127759597001, -52.167776825088026, 761.5185093100774]\n",
      "((4, 0, 5, -6), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "((4, 0, 5, -6), (6, -1, 5, -6), (5, 0, 5, -6))\n",
      "[-550.2127759597001, -52.167776825088026, 649.7872240403]\n",
      "2\n",
      "None\n",
      "[-550.2127759597001, -52.167776825088026, 649.7872240403]\n",
      "((4, 0, 5, -6), (6, -1, 5, -6), (5, 0, 5, -6))\n",
      "((4, 0, 5, -6), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "[-550.2127759597001, -52.167776825088026, 761.5185093100774]\n",
      "2\n",
      "None\n",
      "[-550.2127759597001, -52.167776825088026, 761.5185093100774]\n",
      "((4, 0, 5, -6), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "((4, 0, 5, -6), (6, -1, 5, -6), (5, 0, 5, -6))\n",
      "[-550.2127759597001, -52.167776825088026, 649.7872240403]\n",
      "2\n",
      "700.0\n",
      "[-550.2127759597001, -52.167776825088026, 649.7872240403]\n",
      "((4, 0, 5, -6), (6, -1, 5, -6), (5, 0, 5, -6))\n",
      "((4, 0, 5, -6), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "[-1250.2127759597001, -752.167776825088, 61.518509310077434]\n",
      "2\n",
      "-200.0\n",
      "[-1250.2127759597001, -752.167776825088, 61.518509310077434]\n",
      "((4, 0, 5, -6), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "((4, 0, 5, -6), (6, -1, 5, -6), (5, 0, 5, -6))\n",
      "[-1050.2127759597001, -552.167776825088, 149.78722404029995]\n",
      "2\n",
      "100.0\n",
      "[-1050.2127759597001, -552.167776825088, 149.78722404029995]\n",
      "((4, 0, 5, -6), (6, -1, 5, -6), (5, 0, 5, -6))\n",
      "((4, 0, 5, -6), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "[-1150.2127759597001, -652.167776825088, 161.51850931007743]\n",
      "0\n",
      "None\n",
      "[-1150.2127759597001, -652.167776825088, 161.51850931007743]\n",
      "((4, 0, 5, -6), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "((8, -1, 4, -6), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "[-1038.4814906899226, -652.167776825088, 161.51850931007743]\n",
      "0\n",
      "None\n",
      "[-1038.4814906899226, -652.167776825088, 161.51850931007743]\n",
      "((8, -1, 4, -6), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "((4, 0, 5, -6), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "[-1150.2127759597001, -652.167776825088, 161.51850931007743]\n",
      "0\n",
      "None\n",
      "[-1150.2127759597001, -652.167776825088, 161.51850931007743]\n",
      "((4, 0, 5, -6), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "((5, -1, 4, -5), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "[-1269.6555842207981, -652.167776825088, 161.51850931007743]\n",
      "2\n",
      "200.0\n",
      "[-1269.6555842207981, -652.167776825088, 161.51850931007743]\n",
      "((5, -1, 4, -5), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "((5, -1, 4, -5), (6, -1, 5, -6), (4, -1, 5, -5))\n",
      "[-1469.6555842207981, -852.167776825088, 116.65812964403699]\n",
      "0\n",
      "-1200.0\n",
      "[-1469.6555842207981, -852.167776825088, 116.65812964403699]\n",
      "((5, -1, 4, -5), (6, -1, 5, -6), (4, -1, 5, -5))\n",
      "((0, -1, 5, -4), (6, -1, 5, -6), (4, -1, 5, -5))\n",
      "[-114.51596388683811, 347.832223174912, 1316.658129644037]\n",
      "2\n",
      "1100.0\n",
      "[-114.51596388683811, 347.832223174912, 1316.658129644037]\n",
      "((0, -1, 5, -4), (6, -1, 5, -6), (4, -1, 5, -5))\n",
      "((0, -1, 5, -4), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "[-1214.515963886838, -752.167776825088, 61.518509310077434]\n",
      "0\n",
      "-1200.0\n",
      "[-1214.515963886838, -752.167776825088, 61.518509310077434]\n",
      "((0, -1, 5, -4), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "((4, 0, 5, -6), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "[-50.21277595970014, 447.832223174912, 1261.5185093100774]\n",
      "0\n",
      "None\n",
      "[-50.21277595970014, 447.832223174912, 1261.5185093100774]\n",
      "((4, 0, 5, -6), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "((8, -1, 4, -6), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "[61.518509310077434, 447.832223174912, 1261.5185093100774]\n",
      "0\n",
      "None\n",
      "[61.518509310077434, 447.832223174912, 1261.5185093100774]\n",
      "((8, -1, 4, -6), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "((4, 0, 5, -6), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "[-50.21277595970014, 447.832223174912, 1261.5185093100774]\n",
      "0\n",
      "100.0\n",
      "[-50.21277595970014, 447.832223174912, 1261.5185093100774]\n",
      "((4, 0, 5, -6), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "((8, -1, 4, -6), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "[-38.481490689922566, 347.832223174912, 1161.5185093100774]\n",
      "1\n",
      "None\n",
      "[-38.481490689922566, 347.832223174912, 1161.5185093100774]\n",
      "((8, -1, 4, -6), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "((8, -1, 4, -6), (10, -2, 4, -6), (9, -1, 4, -6))\n",
      "[-38.481490689922566, 459.5635084446901, 1161.5185093100774]\n",
      "1\n",
      "None\n",
      "[-38.481490689922566, 459.5635084446901, 1161.5185093100774]\n",
      "((8, -1, 4, -6), (10, -2, 4, -6), (9, -1, 4, -6))\n",
      "((8, -1, 4, -6), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "[-38.481490689922566, 347.832223174912, 1161.5185093100774]\n",
      "0\n",
      "100.0\n",
      "[-38.481490689922566, 347.832223174912, 1161.5185093100774]\n",
      "((8, -1, 4, -6), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "((3, -1, 5, -5), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "[16.65812964403699, 247.83222317491197, 1061.5185093100774]\n",
      "1\n",
      "None\n",
      "[16.65812964403699, 247.83222317491197, 1061.5185093100774]\n",
      "((3, -1, 5, -5), (6, -1, 5, -6), (9, -1, 4, -6))\n",
      "((3, -1, 5, -5), (10, -2, 4, -6), (9, -1, 4, -6))\n",
      "[16.65812964403699, 359.5635084446901, 1061.5185093100774]\n",
      "1\n",
      "400.0\n",
      "[16.65812964403699, 359.5635084446901, 1061.5185093100774]\n",
      "((3, -1, 5, -5), (10, -2, 4, -6), (9, -1, 4, -6))\n",
      "((3, -1, 5, -5), (1, -1, 6, -5), (9, -1, 4, -6))\n",
      "[-383.341870355963, 2.9718435088719843, 661.5185093100774]\n",
      "1\n",
      "100.0\n",
      "[-383.341870355963, 2.9718435088719843, 661.5185093100774]\n",
      "((3, -1, 5, -5), (1, -1, 6, -5), (9, -1, 4, -6))\n",
      "((3, -1, 5, -5), (5, -2, 5, -5), (9, -1, 4, -6))\n",
      "[-483.341870355963, 14.703128778649898, 561.5185093100774]\n",
      "0\n",
      "None\n",
      "[-483.341870355963, 14.703128778649898, 561.5185093100774]\n",
      "((3, -1, 5, -5), (5, -2, 5, -5), (9, -1, 4, -6))\n",
      "((11, -1, 4, -7), (5, -2, 5, -5), (9, -1, 4, -6))\n",
      "[-407.30739715904747, 14.703128778649898, 561.5185093100774]\n",
      "2\n",
      "None\n",
      "[-407.30739715904747, 14.703128778649898, 561.5185093100774]\n",
      "((11, -1, 4, -7), (5, -2, 5, -5), (9, -1, 4, -6))\n",
      "((11, -1, 4, -7), (5, -2, 5, -5), (7, -3, 5, -5))\n",
      "[-407.30739715904747, 14.703128778649898, 512.7481279132624]\n",
      "0\n",
      "None\n",
      "[-407.30739715904747, 14.703128778649898, 512.7481279132624]\n",
      "((11, -1, 4, -7), (5, -2, 5, -5), (7, -3, 5, -5))\n",
      "((7, -2, 4, -5), (5, -2, 5, -5), (7, -3, 5, -5))\n",
      "[-371.610585086185, 14.703128778649898, 512.7481279132624]\n",
      "0\n",
      "-900.0\n",
      "[-371.610585086185, 14.703128778649898, 512.7481279132624]\n",
      "((7, -2, 4, -5), (5, -2, 5, -5), (7, -3, 5, -5))\n",
      "((9, -3, 5, -6), (5, -2, 5, -5), (7, -3, 5, -5))\n",
      "[443.92222144413745, 914.7031287786499, 1412.7481279132624]\n",
      "2\n",
      "None\n",
      "[443.92222144413745, 914.7031287786499, 1412.7481279132624]\n",
      "((9, -3, 5, -6), (5, -2, 5, -5), (7, -3, 5, -5))\n",
      "((9, -3, 5, -6), (5, -2, 5, -5), (3, -2, 6, -5))\n",
      "[443.92222144413745, 914.7031287786499, 1301.0168426434848]\n",
      "2\n",
      "None\n",
      "[443.92222144413745, 914.7031287786499, 1301.0168426434848]\n",
      "((9, -3, 5, -6), (5, -2, 5, -5), (3, -2, 6, -5))\n",
      "((9, -3, 5, -6), (5, -2, 5, -5), (12, -3, 4, -6))\n",
      "[443.92222144413745, 914.7031287786499, 1257.6085075793026]\n",
      "2\n",
      "1500.0\n",
      "[443.92222144413745, 914.7031287786499, 1257.6085075793026]\n",
      "((9, -3, 5, -6), (5, -2, 5, -5), (12, -3, 4, -6))\n",
      "((9, -3, 5, -6), (5, -2, 5, -5), (7, -3, 5, -5))\n",
      "[-1056.0777785558626, -585.2968712213501, -87.25187208673765]\n",
      "1\n",
      "None\n",
      "[-1056.0777785558626, -585.2968712213501, -87.25187208673765]\n",
      "((9, -3, 5, -6), (5, -2, 5, -5), (7, -3, 5, -5))\n",
      "((9, -3, 5, -6), (11, -4, 5, -6), (7, -3, 5, -5))\n",
      "[-1056.0777785558626, -558.0327794212498, -87.25187208673765]\n",
      "1\n",
      "None\n",
      "[-1056.0777785558626, -558.0327794212498, -87.25187208673765]\n",
      "((9, -3, 5, -6), (11, -4, 5, -6), (7, -3, 5, -5))\n",
      "((9, -3, 5, -6), (5, -2, 5, -5), (7, -3, 5, -5))\n",
      "[-1056.0777785558626, -585.2968712213501, -87.25187208673765]\n",
      "1\n",
      "-1000.0\n",
      "[-1056.0777785558626, -585.2968712213501, -87.25187208673765]\n",
      "((9, -3, 5, -6), (5, -2, 5, -5), (7, -3, 5, -5))\n",
      "((9, -3, 5, -6), (7, -3, 6, -6), (7, -3, 5, -5))\n",
      "[-56.07777855586255, 330.23593530897244, 912.7481279132624]\n",
      "2\n",
      "1100.0\n",
      "[-56.07777855586255, 330.23593530897244, 912.7481279132624]\n",
      "((9, -3, 5, -6), (7, -3, 6, -6), (7, -3, 5, -5))\n",
      "((9, -3, 5, -6), (7, -3, 6, -6), (6, -2, 6, -6))\n",
      "[-1156.0777785558626, -769.7640646910276, -67.80906382564012]\n",
      "1\n",
      "None\n",
      "[-1156.0777785558626, -769.7640646910276, -67.80906382564012]\n",
      "((9, -3, 5, -6), (7, -3, 6, -6), (6, -2, 6, -6))\n",
      "((9, -3, 5, -6), (3, -2, 7, -6), (6, -2, 6, -6))\n",
      "[-1156.0777785558626, -881.4953499608057, -67.80906382564012]\n",
      "2\n",
      "None\n",
      "[-1156.0777785558626, -881.4953499608057, -67.80906382564012]\n",
      "((9, -3, 5, -6), (3, -2, 7, -6), (6, -2, 6, -6))\n",
      "((9, -3, 5, -6), (3, -2, 7, -6), (7, -3, 5, -5))\n",
      "[-1156.0777785558626, -881.4953499608057, -187.2518720867377]\n",
      "1\n",
      "None\n",
      "[-1156.0777785558626, -881.4953499608057, -187.2518720867377]\n",
      "((9, -3, 5, -6), (3, -2, 7, -6), (7, -3, 5, -5))\n",
      "((9, -3, 5, -6), (8, -4, 5, -5), (7, -3, 5, -5))\n",
      "[-1156.0777785558626, -889.2068729521249, -187.2518720867377]\n",
      "2\n",
      "None\n",
      "[-1156.0777785558626, -889.2068729521249, -187.2518720867377]\n",
      "((9, -3, 5, -6), (8, -4, 5, -5), (7, -3, 5, -5))\n",
      "((9, -3, 5, -6), (8, -4, 5, -5), (11, -4, 4, -5))\n",
      "[-1156.0777785558626, -889.2068729521249, -75.52058681695988]\n",
      "1\n",
      "None\n",
      "[-1156.0777785558626, -889.2068729521249, -75.52058681695988]\n",
      "((9, -3, 5, -6), (8, -4, 5, -5), (11, -4, 4, -5))\n",
      "((9, -3, 5, -6), (12, -3, 5, -7), (11, -4, 4, -5))\n",
      "[-1156.0777785558626, -924.9036850249877, -75.52058681695988]\n",
      "2\n",
      "None\n",
      "[-1156.0777785558626, -924.9036850249877, -75.52058681695988]\n",
      "((9, -3, 5, -6), (12, -3, 5, -7), (11, -4, 4, -5))\n",
      "((9, -3, 5, -6), (12, -3, 5, -7), (15, -3, 4, -7))\n",
      "[-1156.0777785558626, -924.9036850249877, -111.21739888982253]\n",
      "2\n",
      "-400.0\n",
      "[-1156.0777785558626, -924.9036850249877, -111.21739888982253]\n",
      "((9, -3, 5, -6), (12, -3, 5, -7), (15, -3, 4, -7))\n",
      "((9, -3, 5, -6), (12, -3, 5, -7), (11, -2, 5, -7))\n",
      "[-756.0777785558626, -524.9036850249877, 177.05131584040006]\n",
      "1\n",
      "0.0\n",
      "[-756.0777785558626, -524.9036850249877, 177.05131584040006]\n",
      "((9, -3, 5, -6), (12, -3, 5, -7), (11, -2, 5, -7))\n",
      "((9, -3, 5, -6), (8, -2, 5, -6), (11, -2, 5, -7))\n",
      "[-756.0777785558626, -54.122777690474834, 177.05131584040006]\n",
      "1\n",
      "-200.0\n",
      "[-756.0777785558626, -54.122777690474834, 177.05131584040006]\n",
      "((9, -3, 5, -6), (8, -2, 5, -6), (11, -2, 5, -7))\n",
      "((9, -3, 5, -6), (13, -2, 4, -7), (11, -2, 5, -7))\n",
      "[-556.0777785558626, -9.262398024434901, 377.0513158404001]\n",
      "1\n",
      "-100.0\n",
      "[-556.0777785558626, -9.262398024434901, 377.0513158404001]\n",
      "((9, -3, 5, -6), (13, -2, 4, -7), (11, -2, 5, -7))\n",
      "((9, -3, 5, -6), (9, -1, 5, -7), (11, -2, 5, -7))\n",
      "[-456.07777855586255, -20.9936832942127, 477.0513158404001]\n",
      "0\n",
      "None\n",
      "[-456.07777855586255, -20.9936832942127, 477.0513158404001]\n",
      "((9, -3, 5, -6), (9, -1, 5, -7), (11, -2, 5, -7))\n",
      "((13, -2, 5, -8), (9, -1, 5, -7), (11, -2, 5, -7))\n",
      "[-491.7745906287248, -20.9936832942127, 477.0513158404001]\n",
      "1\n",
      "-200.0\n",
      "[-491.7745906287248, -20.9936832942127, 477.0513158404001]\n",
      "((13, -2, 5, -8), (9, -1, 5, -7), (11, -2, 5, -7))\n",
      "((13, -2, 5, -8), (12, -3, 5, -7), (11, -2, 5, -7))\n",
      "[-291.7745906287248, -24.90368502498768, 677.0513158404001]\n",
      "0\n",
      "None\n",
      "[-291.7745906287248, -24.90368502498768, 677.0513158404001]\n",
      "((13, -2, 5, -8), (12, -3, 5, -7), (11, -2, 5, -7))\n",
      "((9, -3, 5, -6), (12, -3, 5, -7), (11, -2, 5, -7))\n",
      "[-256.07777855586255, -24.90368502498768, 677.0513158404001]\n",
      "0\n",
      "None\n",
      "[-256.07777855586255, -24.90368502498768, 677.0513158404001]\n",
      "((9, -3, 5, -6), (12, -3, 5, -7), (11, -2, 5, -7))\n",
      "((13, -2, 5, -8), (12, -3, 5, -7), (11, -2, 5, -7))\n",
      "[-291.7745906287248, -24.90368502498768, 677.0513158404001]\n",
      "0\n",
      "0.0\n",
      "[-291.7745906287248, -24.90368502498768, 677.0513158404001]\n",
      "((13, -2, 5, -8), (12, -3, 5, -7), (11, -2, 5, -7))\n",
      "((9, -3, 5, -6), (12, -3, 5, -7), (11, -2, 5, -7))\n",
      "[-256.07777855586255, -24.90368502498768, 677.0513158404001]\n",
      "1\n",
      "200.0\n",
      "[-256.07777855586255, -24.90368502498768, 677.0513158404001]\n",
      "((9, -3, 5, -6), (12, -3, 5, -7), (11, -2, 5, -7))\n",
      "((9, -3, 5, -6), (9, -1, 5, -7), (11, -2, 5, -7))\n",
      "[-456.07777855586255, -20.9936832942127, 477.0513158404001]\n",
      "0\n",
      "-400.0\n",
      "[-456.07777855586255, -20.9936832942127, 477.0513158404001]\n",
      "((9, -3, 5, -6), (9, -1, 5, -7), (11, -2, 5, -7))\n",
      "((11, -1, 4, -7), (9, -1, 5, -7), (11, -2, 5, -7))\n",
      "[-7.3073971590474684, 379.0063167057873, 877.0513158404001]\n",
      "2\n",
      "None\n",
      "[-7.3073971590474684, 379.0063167057873, 877.0513158404001]\n",
      "((11, -1, 4, -7), (9, -1, 5, -7), (11, -2, 5, -7))\n",
      "((11, -1, 4, -7), (9, -1, 5, -7), (9, -1, 4, -6))\n",
      "[-7.3073971590474684, 379.0063167057873, 961.5185093100774]\n",
      "0\n",
      "-100.0\n",
      "[-7.3073971590474684, 379.0063167057873, 961.5185093100774]\n",
      "((11, -1, 4, -7), (9, -1, 5, -7), (9, -1, 4, -6))\n",
      "((7, 0, 5, -7), (9, -1, 5, -7), (9, -1, 4, -6))\n",
      "[-19.03868242882527, 479.0063167057873, 1061.5185093100774]\n",
      "0\n",
      "-200.0\n",
      "[-19.03868242882527, 479.0063167057873, 1061.5185093100774]\n",
      "((7, 0, 5, -7), (9, -1, 5, -7), (9, -1, 4, -6))\n",
      "((10, -2, 5, -7), (9, -1, 5, -7), (9, -1, 4, -6))\n",
      "[-22.948684159599907, 679.0063167057873, 1261.5185093100774]\n",
      "2\n",
      "None\n",
      "[-22.948684159599907, 679.0063167057873, 1261.5185093100774]\n",
      "((10, -2, 5, -7), (9, -1, 5, -7), (9, -1, 4, -6))\n",
      "((10, -2, 5, -7), (9, -1, 5, -7), (8, 0, 5, -7))\n",
      "[-22.948684159599907, 679.0063167057873, 1380.9613175711747]\n",
      "2\n",
      "None\n",
      "[-22.948684159599907, 679.0063167057873, 1380.9613175711747]\n",
      "((10, -2, 5, -7), (9, -1, 5, -7), (8, 0, 5, -7))\n",
      "((10, -2, 5, -7), (9, -1, 5, -7), (14, -2, 5, -8))\n",
      "[-22.948684159599907, 679.0063167057873, 1408.225409371275]\n",
      "2\n",
      "1700.0\n",
      "[-22.948684159599907, 679.0063167057873, 1408.225409371275]\n",
      "((10, -2, 5, -7), (9, -1, 5, -7), (14, -2, 5, -8))\n",
      "((10, -2, 5, -7), (9, -1, 5, -7), (13, -3, 5, -7))\n",
      "[-1722.9486841596, -1020.9936832942127, -24.90368502498768]\n",
      "0\n",
      "-1500.0\n",
      "[-1722.9486841596, -1020.9936832942127, -24.90368502498768]\n",
      "((10, -2, 5, -7), (9, -1, 5, -7), (13, -3, 5, -7))\n",
      "((7, 0, 5, -7), (9, -1, 5, -7), (13, -3, 5, -7))\n",
      "[-19.03868242882527, 479.0063167057873, 1475.0963149750123]\n",
      "0\n",
      "-200.0\n",
      "[-19.03868242882527, 479.0063167057873, 1475.0963149750123]\n",
      "((7, 0, 5, -7), (9, -1, 5, -7), (13, -3, 5, -7))\n",
      "((10, -2, 5, -7), (9, -1, 5, -7), (13, -3, 5, -7))\n",
      "[-22.948684159599907, 679.0063167057873, 1675.0963149750123]\n",
      "2\n",
      "1500.0\n",
      "[-22.948684159599907, 679.0063167057873, 1675.0963149750123]\n",
      "((10, -2, 5, -7), (9, -1, 5, -7), (13, -3, 5, -7))\n",
      "((10, -2, 5, -7), (9, -1, 5, -7), (12, -1, 4, -7))\n",
      "[-1522.9486841596, -820.9936832942127, -7.3073971590474684]\n",
      "2\n",
      "-100.0\n",
      "[-1522.9486841596, -820.9936832942127, -7.3073971590474684]\n",
      "((10, -2, 5, -7), (9, -1, 5, -7), (12, -1, 4, -7))\n",
      "((10, -2, 5, -7), (9, -1, 5, -7), (8, 0, 5, -7))\n",
      "[-1422.9486841596, -720.9936832942127, -19.038682428825297]\n",
      "2\n",
      "-200.0\n",
      "[-1422.9486841596, -720.9936832942127, -19.038682428825297]\n",
      "((10, -2, 5, -7), (9, -1, 5, -7), (8, 0, 5, -7))\n",
      "((10, -2, 5, -7), (9, -1, 5, -7), (11, -2, 5, -7))\n",
      "[-1222.9486841596, -520.9936832942127, -22.948684159599992]\n",
      "2\n",
      "200.0\n",
      "[-1222.9486841596, -520.9936832942127, -22.948684159599992]\n",
      "((10, -2, 5, -7), (9, -1, 5, -7), (11, -2, 5, -7))\n",
      "((10, -2, 5, -7), (9, -1, 5, -7), (8, 0, 5, -7))\n",
      "[-1422.9486841596, -720.9936832942127, -19.038682428825297]\n",
      "2\n",
      "-200.0\n",
      "[-1422.9486841596, -720.9936832942127, -19.038682428825297]\n",
      "((10, -2, 5, -7), (9, -1, 5, -7), (8, 0, 5, -7))\n",
      "((10, -2, 5, -7), (9, -1, 5, -7), (11, -2, 5, -7))\n",
      "[-1222.9486841596, -520.9936832942127, -22.948684159599992]\n",
      "1\n",
      "-900.0\n",
      "[-1222.9486841596, -520.9936832942127, -22.948684159599992]\n",
      "((10, -2, 5, -7), (9, -1, 5, -7), (11, -2, 5, -7))\n",
      "((10, -2, 5, -7), (12, -3, 5, -7), (11, -2, 5, -7))\n",
      "[-322.9486841595999, 175.09631497501232, 877.0513158404]\n",
      "0\n",
      "None\n",
      "[-322.9486841595999, 175.09631497501232, 877.0513158404]\n",
      "((10, -2, 5, -7), (12, -3, 5, -7), (11, -2, 5, -7))\n",
      "((14, -3, 4, -7), (12, -3, 5, -7), (11, -2, 5, -7))\n",
      "[-211.21739888982256, 175.09631497501232, 877.0513158404]\n",
      "0\n",
      "None\n",
      "[-211.21739888982256, 175.09631497501232, 877.0513158404]\n",
      "((14, -3, 4, -7), (12, -3, 5, -7), (11, -2, 5, -7))\n",
      "((10, -2, 5, -7), (12, -3, 5, -7), (11, -2, 5, -7))\n",
      "[-322.9486841595999, 175.09631497501232, 877.0513158404]\n",
      "1\n",
      "-100.0\n",
      "[-322.9486841595999, 175.09631497501232, 877.0513158404]\n",
      "((10, -2, 5, -7), (12, -3, 5, -7), (11, -2, 5, -7))\n",
      "((10, -2, 5, -7), (13, -2, 5, -8), (11, -2, 5, -7))\n",
      "[-222.9486841595999, 8.225409371275191, 977.0513158404]\n",
      "0\n",
      "None\n",
      "[-222.9486841595999, 8.225409371275191, 977.0513158404]\n",
      "((10, -2, 5, -7), (13, -2, 5, -8), (11, -2, 5, -7))\n",
      "((15, -2, 4, -8), (13, -2, 5, -8), (11, -2, 5, -7))\n",
      "[-378.0883044935597, 8.225409371275191, 977.0513158404]\n",
      "1\n",
      "100.0\n",
      "[-378.0883044935597, 8.225409371275191, 977.0513158404]\n",
      "((15, -2, 4, -8), (13, -2, 5, -8), (11, -2, 5, -7))\n",
      "((15, -2, 4, -8), (17, -3, 4, -8), (11, -2, 5, -7))\n",
      "[-478.0883044935597, 19.956694641052763, 877.0513158404]\n",
      "2\n",
      "None\n",
      "[-478.0883044935597, 19.956694641052763, 877.0513158404]\n",
      "((15, -2, 4, -8), (17, -3, 4, -8), (11, -2, 5, -7))\n",
      "((15, -2, 4, -8), (17, -3, 4, -8), (20, -3, 3, -8))\n",
      "[-478.0883044935597, 19.956694641052763, 833.642980776218]\n",
      "1\n",
      "200.0\n",
      "[-478.0883044935597, 19.956694641052763, 833.642980776218]\n",
      "((15, -2, 4, -8), (17, -3, 4, -8), (20, -3, 3, -8))\n",
      "((15, -2, 4, -8), (21, -4, 3, -8), (20, -3, 3, -8))\n",
      "[-678.0883044935597, -68.31202008916944, 633.642980776218]\n",
      "0\n",
      "-700.0\n",
      "[-678.0883044935597, -68.31202008916944, 633.642980776218]\n",
      "((15, -2, 4, -8), (21, -4, 3, -8), (20, -3, 3, -8))\n",
      "((22, -5, 3, -8), (21, -4, 3, -8), (20, -3, 3, -8))\n",
      "[-70.26702095455698, 631.6879799108306, 1333.6429807762179]\n",
      "2\n",
      "None\n",
      "[-70.26702095455698, 631.6879799108306, 1333.6429807762179]\n",
      "((22, -5, 3, -8), (21, -4, 3, -8), (20, -3, 3, -8))\n",
      "((22, -5, 3, -8), (21, -4, 3, -8), (26, -5, 3, -9))\n",
      "[-70.26702095455698, 631.6879799108306, 1360.9070725763181]\n",
      "2\n",
      "1200.0\n",
      "[-70.26702095455698, 631.6879799108306, 1360.9070725763181]\n",
      "((22, -5, 3, -8), (21, -4, 3, -8), (26, -5, 3, -9))\n",
      "((22, -5, 3, -8), (21, -4, 3, -8), (20, -3, 3, -8))\n",
      "[-1270.267020954557, -568.3120200891694, 133.64298077621788]\n",
      "0\n",
      "None\n",
      "[-1270.267020954557, -568.3120200891694, 133.64298077621788]\n",
      "((22, -5, 3, -8), (21, -4, 3, -8), (20, -3, 3, -8))\n",
      "((16, -3, 3, -7), (21, -4, 3, -8), (20, -3, 3, -8))\n",
      "[-1297.5311127546572, -568.3120200891694, 133.64298077621788]\n",
      "0\n",
      "None\n",
      "[-1297.5311127546572, -568.3120200891694, 133.64298077621788]\n",
      "((16, -3, 3, -7), (21, -4, 3, -8), (20, -3, 3, -8))\n",
      "((22, -5, 3, -8), (21, -4, 3, -8), (20, -3, 3, -8))\n",
      "[-1270.267020954557, -568.3120200891694, 133.64298077621788]\n",
      "0\n",
      "-1300.0\n",
      "[-1270.267020954557, -568.3120200891694, 133.64298077621788]\n",
      "((22, -5, 3, -8), (21, -4, 3, -8), (20, -3, 3, -8))\n",
      "((16, -3, 3, -7), (21, -4, 3, -8), (20, -3, 3, -8))\n",
      "[2.468887245342785, 731.6879799108306, 1433.6429807762179]\n",
      "0\n",
      "100.0\n",
      "[2.468887245342785, 731.6879799108306, 1433.6429807762179]\n",
      "((16, -3, 3, -7), (21, -4, 3, -8), (20, -3, 3, -8))\n",
      "((22, -5, 3, -8), (21, -4, 3, -8), (20, -3, 3, -8))\n",
      "[-70.26702095455698, 631.6879799108306, 1333.6429807762179]\n",
      "2\n",
      "None\n",
      "[-70.26702095455698, 631.6879799108306, 1333.6429807762179]\n",
      "((22, -5, 3, -8), (21, -4, 3, -8), (20, -3, 3, -8))\n",
      "((22, -5, 3, -8), (21, -4, 3, -8), (26, -5, 3, -9))\n",
      "[-70.26702095455698, 631.6879799108306, 1360.9070725763181]\n",
      "0\n",
      "200.0\n",
      "[-70.26702095455698, 631.6879799108306, 1360.9070725763181]\n",
      "((22, -5, 3, -8), (21, -4, 3, -8), (26, -5, 3, -9))\n",
      "((19, -3, 3, -8), (21, -4, 3, -8), (26, -5, 3, -9))\n",
      "[-66.35701922378189, 431.68797991083056, 1160.9070725763181]\n",
      "2\n",
      "None\n",
      "[-66.35701922378189, 431.68797991083056, 1160.9070725763181]\n",
      "((19, -3, 3, -8), (21, -4, 3, -8), (26, -5, 3, -9))\n",
      "((19, -3, 3, -8), (21, -4, 3, -8), (20, -3, 3, -8))\n",
      "[-66.35701922378189, 431.68797991083056, 1133.6429807762179]\n",
      "2\n",
      "None\n",
      "[-66.35701922378189, 431.68797991083056, 1133.6429807762179]\n",
      "((19, -3, 3, -8), (21, -4, 3, -8), (20, -3, 3, -8))\n",
      "((19, -3, 3, -8), (21, -4, 3, -8), (24, -4, 2, -8))\n",
      "[-66.35701922378189, 431.68797991083056, 1245.3742660459957]\n",
      "2\n",
      "900.0\n",
      "[-66.35701922378189, 431.68797991083056, 1245.3742660459957]\n",
      "((19, -3, 3, -8), (21, -4, 3, -8), (24, -4, 2, -8))\n",
      "((19, -3, 3, -8), (21, -4, 3, -8), (23, -5, 3, -8))\n",
      "[-966.3570192237819, -468.31202008916944, 29.732979045443017]\n",
      "2\n",
      "100.0\n",
      "[-966.3570192237819, -468.31202008916944, 29.732979045443017]\n",
      "((19, -3, 3, -8), (21, -4, 3, -8), (23, -5, 3, -8))\n",
      "((19, -3, 3, -8), (21, -4, 3, -8), (17, -3, 3, -7))\n",
      "[-1066.357019223782, -568.3120200891694, -97.53111275465722]\n",
      "1\n",
      "None\n",
      "[-1066.357019223782, -568.3120200891694, -97.53111275465722]\n",
      "((19, -3, 3, -8), (21, -4, 3, -8), (17, -3, 3, -7))\n",
      "((19, -3, 3, -8), (15, -2, 3, -7), (17, -3, 3, -7))\n",
      "[-1066.357019223782, -595.5761118892699, -97.53111275465722]\n",
      "2\n",
      "200.0\n",
      "[-1066.357019223782, -595.5761118892699, -97.53111275465722]\n",
      "((19, -3, 3, -8), (15, -2, 3, -7), (17, -3, 3, -7))\n",
      "((19, -3, 3, -8), (15, -2, 3, -7), (18, -2, 2, -7))\n",
      "[-1266.357019223782, -795.5761118892699, 18.110174245895337]\n",
      "1\n",
      "None\n",
      "[-1266.357019223782, -795.5761118892699, 18.110174245895337]\n",
      "((19, -3, 3, -8), (15, -2, 3, -7), (18, -2, 2, -7))\n",
      "((19, -3, 3, -8), (17, -3, 4, -8), (18, -2, 2, -7))\n",
      "[-1266.357019223782, -880.0433053589472, 18.110174245895337]\n",
      "1\n",
      "None\n",
      "[-1266.357019223782, -880.0433053589472, 18.110174245895337]\n",
      "((19, -3, 3, -8), (17, -3, 4, -8), (18, -2, 2, -7))\n",
      "((19, -3, 3, -8), (20, -2, 2, -8), (18, -2, 2, -7))\n",
      "[-1266.357019223782, -950.7157322232295, 18.110174245895337]\n",
      "1\n",
      "None\n",
      "[-1266.357019223782, -950.7157322232295, 18.110174245895337]\n",
      "((19, -3, 3, -8), (20, -2, 2, -8), (18, -2, 2, -7))\n",
      "((19, -3, 3, -8), (22, -3, 3, -9), (18, -2, 2, -7))\n",
      "[-1266.357019223782, -1035.1829256929068, 18.110174245895337]\n",
      "1\n",
      "-600.0\n",
      "[-1266.357019223782, -1035.1829256929068, 18.110174245895337]\n",
      "((19, -3, 3, -8), (22, -3, 3, -9), (18, -2, 2, -7))\n",
      "((19, -3, 3, -8), (18, -2, 3, -8), (18, -2, 2, -7))\n",
      "[-666.3570192237819, 35.597981641605315, 618.1101742458953]\n",
      "0\n",
      "None\n",
      "[-666.3570192237819, 35.597981641605315, 618.1101742458953]\n",
      "((19, -3, 3, -8), (18, -2, 3, -8), (18, -2, 2, -7))\n",
      "((15, -2, 4, -8), (18, -2, 3, -8), (18, -2, 2, -7))\n",
      "[-778.0883044935597, 35.597981641605315, 618.1101742458953]\n",
      "0\n",
      "None\n",
      "[-778.0883044935597, 35.597981641605315, 618.1101742458953]\n",
      "((15, -2, 4, -8), (18, -2, 3, -8), (18, -2, 2, -7))\n",
      "((14, -2, 2, -6), (18, -2, 3, -8), (18, -2, 2, -7))\n",
      "[-813.0639192849796, 35.597981641605315, 618.1101742458953]\n",
      "1\n",
      "100.0\n",
      "[-813.0639192849796, 35.597981641605315, 618.1101742458953]\n",
      "((14, -2, 2, -6), (18, -2, 3, -8), (18, -2, 2, -7))\n",
      "((14, -2, 2, -6), (16, -1, 2, -7), (18, -2, 2, -7))\n",
      "[-913.0639192849796, 20.06517511128277, 518.1101742458953]\n",
      "0\n",
      "None\n",
      "[-913.0639192849796, 20.06517511128277, 518.1101742458953]\n",
      "((14, -2, 2, -6), (16, -1, 2, -7), (18, -2, 2, -7))\n",
      "((18, -1, 2, -8), (16, -1, 2, -7), (18, -2, 2, -7))\n",
      "[-948.7607313578419, 20.06517511128277, 518.1101742458953]\n",
      "0\n",
      "-600.0\n",
      "[-948.7607313578419, 20.06517511128277, 518.1101742458953]\n",
      "((18, -1, 2, -8), (16, -1, 2, -7), (18, -2, 2, -7))\n",
      "((13, -1, 3, -7), (16, -1, 2, -7), (18, -2, 2, -7))\n",
      "[-193.62111102388235, 620.0651751112828, 1118.1101742458955]\n",
      "0\n",
      "100.0\n",
      "[-193.62111102388235, 620.0651751112828, 1118.1101742458955]\n",
      "((13, -1, 3, -7), (16, -1, 2, -7), (18, -2, 2, -7))\n",
      "((17, -2, 2, -7), (16, -1, 2, -7), (18, -2, 2, -7))\n",
      "[-181.88982575410455, 520.0651751112828, 1018.1101742458955]\n",
      "2\n",
      "None\n",
      "[-181.88982575410455, 520.0651751112828, 1018.1101742458955]\n",
      "((17, -2, 2, -7), (16, -1, 2, -7), (18, -2, 2, -7))\n",
      "((17, -2, 2, -7), (16, -1, 2, -7), (14, -1, 3, -7))\n",
      "[-181.88982575410455, 520.0651751112828, 906.3788889761177]\n",
      "1\n",
      "300.0\n",
      "[-181.88982575410455, 520.0651751112828, 906.3788889761177]\n",
      "((17, -2, 2, -7), (16, -1, 2, -7), (14, -1, 3, -7))\n",
      "((17, -2, 2, -7), (19, -3, 2, -7), (14, -1, 3, -7))\n",
      "[-481.88982575410455, 16.155173380507904, 606.3788889761177]\n",
      "2\n",
      "None\n",
      "[-481.88982575410455, 16.155173380507904, 606.3788889761177]\n",
      "((17, -2, 2, -7), (19, -3, 2, -7), (14, -1, 3, -7))\n",
      "((17, -2, 2, -7), (19, -3, 2, -7), (21, -4, 2, -7))\n",
      "[-481.88982575410455, 16.155173380507904, 514.2001725151206]\n",
      "2\n",
      "None\n",
      "[-481.88982575410455, 16.155173380507904, 514.2001725151206]\n",
      "((17, -2, 2, -7), (19, -3, 2, -7), (21, -4, 2, -7))\n",
      "((17, -2, 2, -7), (19, -3, 2, -7), (15, -2, 2, -6))\n",
      "[-481.88982575410455, 16.155173380507904, 486.9360807150204]\n",
      "0\n",
      "-400.0\n",
      "[-481.88982575410455, 16.155173380507904, 486.9360807150204]\n",
      "((17, -2, 2, -7), (19, -3, 2, -7), (15, -2, 2, -6))\n",
      "((21, -3, 1, -7), (19, -3, 2, -7), (15, -2, 2, -6))\n",
      "[29.841459515673023, 416.1551733805079, 886.9360807150204]\n",
      "2\n",
      "None\n",
      "[29.841459515673023, 416.1551733805079, 886.9360807150204]\n",
      "((21, -3, 1, -7), (19, -3, 2, -7), (15, -2, 2, -6))\n",
      "((21, -3, 1, -7), (19, -3, 2, -7), (21, -4, 2, -7))\n",
      "[29.841459515673023, 416.1551733805079, 914.2001725151206]\n",
      "2\n",
      "1200.0\n",
      "[29.841459515673023, 416.1551733805079, 914.2001725151206]\n",
      "((21, -3, 1, -7), (19, -3, 2, -7), (21, -4, 2, -7))\n",
      "((21, -3, 1, -7), (19, -3, 2, -7), (22, -3, 1, -7))\n",
      "[-1170.158540484327, -783.8448266194921, 29.841459515673023]\n",
      "0\n",
      "-1300.0\n",
      "[-1170.158540484327, -783.8448266194921, 29.841459515673023]\n",
      "((21, -3, 1, -7), (19, -3, 2, -7), (22, -3, 1, -7))\n",
      "((17, -2, 2, -7), (19, -3, 2, -7), (22, -3, 1, -7))\n",
      "[18.11017424589545, 516.1551733805079, 1329.841459515673]\n",
      "2\n",
      "1400.0\n",
      "[18.11017424589545, 516.1551733805079, 1329.841459515673]\n",
      "((17, -2, 2, -7), (19, -3, 2, -7), (22, -3, 1, -7))\n",
      "((17, -2, 2, -7), (19, -3, 2, -7), (21, -2, 2, -8))\n",
      "[-1381.8898257541045, -883.8448266194921, 49.28426777677055]\n",
      "1\n",
      "None\n",
      "[-1381.8898257541045, -883.8448266194921, 49.28426777677055]\n",
      "((17, -2, 2, -7), (19, -3, 2, -7), (21, -2, 2, -8))\n",
      "((17, -2, 2, -7), (23, -2, 2, -9), (21, -2, 2, -8))\n",
      "[-1381.8898257541045, -919.5416386923544, 49.28426777677055]\n",
      "2\n",
      "-100.0\n",
      "[-1381.8898257541045, -919.5416386923544, 49.28426777677055]\n",
      "((17, -2, 2, -7), (23, -2, 2, -9), (21, -2, 2, -8))\n",
      "((17, -2, 2, -7), (23, -2, 2, -9), (26, -2, 1, -9))\n",
      "[-1281.8898257541045, -819.5416386923544, -5.855352557189008]\n",
      "2\n",
      "-100.0\n",
      "[-1281.8898257541045, -819.5416386923544, -5.855352557189008]\n",
      "((17, -2, 2, -7), (23, -2, 2, -9), (26, -2, 1, -9))\n",
      "((17, -2, 2, -7), (23, -2, 2, -9), (22, -1, 2, -9))\n",
      "[-1181.8898257541045, -719.5416386923544, -17.586637826967177]\n",
      "1\n",
      "None\n",
      "[-1181.8898257541045, -719.5416386923544, -17.586637826967177]\n",
      "((17, -2, 2, -7), (23, -2, 2, -9), (22, -1, 2, -9))\n",
      "((17, -2, 2, -7), (19, -3, 2, -7), (22, -1, 2, -9))\n",
      "[-1181.8898257541045, -683.8448266194921, -17.586637826967177]\n",
      "1\n",
      "None\n",
      "[-1181.8898257541045, -683.8448266194921, -17.586637826967177]\n",
      "((17, -2, 2, -7), (19, -3, 2, -7), (22, -1, 2, -9))\n",
      "((17, -2, 2, -7), (23, -2, 2, -9), (22, -1, 2, -9))\n",
      "[-1181.8898257541045, -719.5416386923544, -17.586637826967177]\n",
      "2\n",
      "100.0\n",
      "[-1181.8898257541045, -719.5416386923544, -17.586637826967177]\n",
      "((17, -2, 2, -7), (23, -2, 2, -9), (22, -1, 2, -9))\n",
      "((17, -2, 2, -7), (23, -2, 2, -9), (26, -2, 1, -9))\n",
      "[-1281.8898257541045, -819.5416386923544, -5.855352557189008]\n",
      "1\n",
      "-700.0\n",
      "[-1281.8898257541045, -819.5416386923544, -5.855352557189008]\n",
      "((17, -2, 2, -7), (23, -2, 2, -9), (26, -2, 1, -9))\n",
      "((17, -2, 2, -7), (27, -3, 1, -9), (26, -2, 1, -9))\n",
      "[-581.8898257541045, -7.810353422576782, 694.144647442811]\n"
     ]
    }
   ],
   "source": [
    "path = stochastic_hamiltonian(root)\n",
    "#durs = tuple(round(y[0]-x[0], 2) for (x, y) in pairwise(target_melody_data)) + ((1,))\n",
    "durs = tuple(d[0] for d in target_melody_data)\n",
    "path_to_chords(path, root)\n",
    "write_chord_sequence(list(zip(durs, path_to_chords(path, root))))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "85eda9de-ad78-4009-bf0e-c4d45e806bc4",
   "metadata": {},
   "source": [
    "## function-based approach"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0c249f37-5fd5-45d3-9f52-313dd9ae3250",
   "metadata": {},
   "source": [
    "### path functions"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "df57f38b-be7a-4cac-b0af-33b36c97f388",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "#### legacy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "57c834bf-fee7-4ef4-b648-2173099fbb56",
   "metadata": {},
   "outputs": [],
   "source": [
    "from random import choice, choices\n",
    "\n",
    "def hd_sum(chord):\n",
    "    distances = []\n",
    "    size = len(chord)\n",
    "    for i in range(size):\n",
    "        for j in range(i+1, size):\n",
    "            distances += [sum([abs(dist) * log(dims[idx], 2) for idx, dist in enumerate(pitch_difference(chord[i], chord[j]))])]\n",
    "    return sum(distances)\n",
    "    \n",
    "def next_edges(source, last_chords):  \n",
    "\n",
    "    def transpose_to_nearest(hs_array1, hs_array2):\n",
    "        expanded_pitch = hs_array2\n",
    "        frequency_ratio = hs_array_to_fr(list(hs_array2)) / hs_array_to_fr(list(hs_array1))\n",
    "        if frequency_ratio < 1:\n",
    "            while frequency_ratio < 1:\n",
    "                frequency_ratio *= 2\n",
    "                expanded_pitch[0] += 1\n",
    "        elif frequency_ratio >= 2:\n",
    "            while frequency_ratio >= 2:\n",
    "                frequency_ratio *= 1/2\n",
    "                expanded_pitch[0] += -1\n",
    "        return tuple(expanded_pitch)\n",
    "        \n",
    "    def gen_candidates(chord, last_chords):\n",
    "        for sdx, s_pitch in enumerate(chord):\n",
    "            for cdx, c_pitch in enumerate(chord):\n",
    "                if cdx != sdx:   \n",
    "                    for ddx, dim in enumerate(c_pitch[1:]):\n",
    "                        for alt in [-1, 1]:\n",
    "                            new_pitch = list(c_pitch)\n",
    "                            new_pitch[ddx+1] += alt\n",
    "                            new_pitch_up = transpose_to_nearest(s_pitch, new_pitch)\n",
    "                            new_chord_up = list(chord)\n",
    "                            new_chord_up[sdx] = tuple(new_pitch_up)\n",
    "                            #print(\"here\")\n",
    "                            #print(new_pitch_up)\n",
    "                            #print(tuple(l[sdx] for l in last_chords))\n",
    "                            #print(new_pitch_up not in tuple(l[sdx] for l in last_chords))\n",
    "                            \n",
    "                            #if tuple(new_chord_up) != chord and (tuple(new_pitch_up) not in tuple(l[sdx] for l in last_chords)) and max(new_pitch_up[1:]) <= 1 and min(new_pitch_up[1:]) >= 0 and sum(new_pitch_up[1:]) <= 2:\n",
    "                            if tuple(new_chord_up) != chord and max(new_pitch_up[1:]) <= 1 and min(new_pitch_up[1:]) >= 0 and sum(new_pitch_up[1:]) <= 2:\n",
    "                            #if tuple(new_chord_up) != chord and tuple(new_pitch_up) not in tuple(l[sdx] for l in last_chords):\n",
    "                            #if tuple(new_chord_up) != chord:\n",
    "                                yield tuple(new_chord_up)\n",
    "\n",
    "                            new_pitch_down = list(new_pitch_up)\n",
    "                            new_pitch_down[0] += -1\n",
    "                            new_chord_down = list(chord)\n",
    "                            new_chord_down[sdx] = tuple(new_pitch_down)\n",
    "\n",
    "                            #print(\"here2\")\n",
    "                            #print(new_pitch_down)\n",
    "                            #print(tuple(l[sdx] for l in last_chords))\n",
    "                            #print(new_pitch_down not in tuple(l[sdx] for l in last_chords))\n",
    "                            #if tuple(new_chord_down) != chord:\n",
    "                            #if tuple(new_chord_down) != chord and new_pitch_down not in tuple(l[sdx] for l in last_chords):\n",
    "                            if tuple(new_chord_down) != chord and max(new_pitch_down[1:]) <= 1 and min(new_pitch_down[1:]) >= 0 and sum(new_pitch_up[1:]) <= 2:\n",
    "                            #if tuple(new_chord_down) != chord and (tuple(new_pitch_down) not in tuple(l[sdx] for l in last_chords)) and max(new_pitch_down[1:]) <= 1 and min(new_pitch_down[1:]) >= 0 and sum(new_pitch_up[1:]) <= 2:\n",
    "                                yield tuple(new_chord_down)\n",
    "\n",
    "    for candidate in gen_candidates(source, last_chords):\n",
    "\n",
    "        movements = {\n",
    "            pitch:\n",
    "            {\n",
    "                'destination': candidate[index], \n",
    "                'cent_difference': cent_difference(pitch, candidate[index])\n",
    "            } for index, pitch in enumerate(source)}\n",
    "        \n",
    "        yield (tuple(source), tuple(candidate), {'transposition': root, 'movements': movements},)\n",
    "\n",
    "\n",
    "# This is for the beginning / breysheet - redone to calculate next chord as a function and not from the graph\n",
    "def stochastic_hamiltonian(root):\n",
    "\n",
    "    #try making this omit the moving voice\n",
    "    def movement_size_weights(edges):\n",
    "        \n",
    "        def max_cent_diff(edge):\n",
    "            res = max([abs(v) for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None])\n",
    "            return res\n",
    "            \n",
    "        def min_cent_diff(edge):\n",
    "            res = [abs(v) for val in edge[2]['movements'].values()  if (v:=val['cent_difference']) is not None]\n",
    "            res.remove(0)\n",
    "            return min(res)\n",
    "            \n",
    "        for e in edges:\n",
    "            yield 100 if ((max_cent_diff(e) < 200) and (min_cent_diff(e)) >= 50) else 1/pow(1.1, max_cent_diff(e))\n",
    "\n",
    "    def hamiltonian_weights(edges):\n",
    "        for e in edges:\n",
    "            yield 10 if e[1] not in [path_edge[0] for path_edge in path] else 1 / graph.nodes[e[1]]['count']\n",
    "    \n",
    "    def contrary_motion_weights(edges):\n",
    "\n",
    "        def is_contrary(edge):\n",
    "            cent_diffs = [v for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None]\n",
    "            cent_diffs.sort()\n",
    "            return (cent_diffs[0] < 0) and (cent_diffs[1] == 0) and (cent_diffs[2] > 0)\n",
    "\n",
    "        for e in edges:\n",
    "            yield 2 if is_contrary(e) else 1\n",
    "    \n",
    "    def is_directly_tunable_weights(edges):\n",
    "        for e in edges:\n",
    "            yield 10 if e[2]['is_directly_tunable'] else 1\n",
    "\n",
    "    def symdiff_weights(edges):\n",
    "        for e in edges:\n",
    "            yield 1000 if e[2]['symmetric_difference'] == 2 else 1\n",
    "\n",
    "    def transposition_weight(edges):\n",
    "        for e in edges:\n",
    "            yield 100 if 0 <= hs_array_to_cents(e[2]['transposition']) < 100 else 1\n",
    "\n",
    "    def in_range(edges):\n",
    "        for e in edges:\n",
    "            s_chord = sorted(e[1], key=hs_array_to_fr)\n",
    "            yield 5 if hs_array_to_fr(sorted(e[1], key=hs_array_to_fr)[0]) >= 0.25 else 0\n",
    "\n",
    "    def hd_weight(edges):\n",
    "        for e in edges:\n",
    "            yield 100 * (1/pow(hd_sum(e[1]), 2))\n",
    "\n",
    "    def permission_weight(edges, allowed_ins):\n",
    "        print(\"here\")\n",
    "        print(allowed_ins)\n",
    "        print(\"---\")\n",
    "        for e in edges:\n",
    "            diff = [ibx for ibx, pitch in enumerate(e[0]) if pitch != e[1][ibx]][0]\n",
    "            yield 1 if diff in allowed_ins else 0\n",
    "\n",
    "    def dca_weight(edges, ins, last_chords):\n",
    "        for e in edges:\n",
    "            #print(tuple(e[1][ins]))\n",
    "            #print(ins)\n",
    "            #print(tuple(l[ins] for l in last_chords))\n",
    "            diff_e = [i for i, item in enumerate(e[0]) if item != e[1][i]][0]\n",
    "            if ins == diff_e:\n",
    "                yield 1\n",
    "            else:\n",
    "                yield 100 if tuple(e[1][diff_e]) not in tuple(l[diff_e] for l in last_chords) else 0\n",
    "\n",
    "    def is_sustained_voice(edges, voice):\n",
    "        \n",
    "        def is_sustained(edge):\n",
    "            source = list(edge[0])\n",
    "            ordered_source = sorted(source, key=hs_array_to_fr)    \n",
    "            destination = [transpose_pitch(edge[2]['movements'][p]['destination'], edge[2]['transposition']) for p in source]\n",
    "            ordered_destination = sorted(destination, key=hs_array_to_fr)\n",
    "            return ordered_source[voice] == ordered_destination[voice]\n",
    "\n",
    "        for e in edges:\n",
    "            yield 10 if is_sustained(e) else 1\n",
    "\n",
    "    def favor_bass(edges, ins):\n",
    "\n",
    "        def ins_check(edge, ins):\n",
    "            source = list(edge[0])\n",
    "            ordered_source = sorted(source, key=hs_array_to_fr)    \n",
    "            destination = [transpose_pitch(edge[2]['movements'][p]['destination'], edge[2]['transposition']) for p in source]\n",
    "            ordered_destination = sorted(destination, key=hs_array_to_fr)\n",
    "            if ins == 2:\n",
    "                return 1\n",
    "            elif ins == 1 and ordered_source[0] != ordered_destination[0]:\n",
    "                return 1\n",
    "            else:\n",
    "                return 0\n",
    "\n",
    "        for e in edges:\n",
    "            yield ins_check(e, ins)\n",
    "\n",
    "    def voice_crossing_weights(edges):\n",
    "        \n",
    "        def has_voice_crossing(edge):\n",
    "            source = list(edge[0])\n",
    "            ordered_source = sorted(source, key=hs_array_to_fr)    \n",
    "            source_order = [ordered_source.index(p) for p in source]\n",
    "            destination = [transpose_pitch(edge[2]['movements'][p]['destination'], edge[2]['transposition']) for p in source]\n",
    "            ordered_destination = sorted(destination, key=hs_array_to_fr)\n",
    "            destination_order = [ordered_destination.index(p) for p in destination]\n",
    "            return source_order != destination_order\n",
    "\n",
    "        for e in edges:\n",
    "            yield 10 if not has_voice_crossing(e) else 0\n",
    "\n",
    "    def is_bass_rooted(chord):\n",
    "        return max([sum(abs(p) for p in collapse_pitch(pitch_difference(chord[0], p))) for p in chord[1:]]) == 1\n",
    "\n",
    "    def target_melody_weights(edges, target, c_devs, voice):\n",
    "\n",
    "        def target_weight(edge, target, c_devs, voice):\n",
    "            candidate_diffs = []\n",
    "            for idx, dev in enumerate(c_devs):\n",
    "                if(idx == voice):\n",
    "                    source = list(edge[0])\n",
    "                    ordered_source = sorted(source, key=hs_array_to_fr)    \n",
    "                    candidate_diff = edge[2]['movements'][ordered_source[idx]]['cent_difference']\n",
    "                    candidate_diffs += [abs(dev + candidate_diff - target)]\n",
    "            #return 1/pow(1.1, min(candidate_diffs))\n",
    "            return 100 if min(candidate_diffs) < 40 else 1/pow(1.1, min(candidate_diffs))\n",
    "            \n",
    "        for e in edges:\n",
    "            yield target_weight(e, target, c_devs, voice)\n",
    "        \n",
    "    #check_graph = graph.copy()\n",
    "    #next_node = choice(list(graph.nodes()))\n",
    "    next_node = ((-2, 0, 0, 0, 0, 0), (-1, 0, 0, 0, 0, 0), (-3, 0, 0, 0, 1, 0))\n",
    "    #check_graph.remove_node(next_node)\n",
    "    #for node in graph.nodes(data=True):\n",
    "    #    node[1]['count'] = 1\n",
    "    path = []\n",
    "    s_next_node = sorted(next_node, key=hs_array_to_fr)\n",
    "    last_chords = (tuple(s_next_node),)\n",
    "    c_devs = (cent_difference(s_next_node[2], s_next_node[0]), cent_difference(s_next_node[2], s_next_node[1]), 0,)\n",
    "    #c_devs = (0, cent_difference(s_next_node[0], s_next_node[1]), cent_difference(s_next_node[0], s_next_node[2]),)\n",
    "    print(c_devs)\n",
    "    #while (nx.number_of_nodes(check_graph) > 0) and (len(path) < len(target_melody_data)-1):\n",
    "    while (len(path) < len(target_melody_data)-1):\n",
    "        #out_edges = list(graph.out_edges(next_node, data=True))\n",
    "        out_edges = list(next_edges(next_node, last_chords))\n",
    "        target = target_melody_data[len(path)+1][-1]\n",
    "        ins = target_melody_data[len(path)+1][2]\n",
    "        print(target)\n",
    "        print(ins)\n",
    "        factors = [\n",
    "            movement_size_weights(out_edges), \n",
    "            #hamiltonian_weights(out_edges), \n",
    "            #contrary_motion_weights(out_edges), \n",
    "            #is_directly_tunable_weights(out_edges),\n",
    "            voice_crossing_weights(out_edges),\n",
    "            #transposition_weight(out_edges),\n",
    "            #is_sustained_voice(out_edges, 0),\n",
    "            target_melody_weights(out_edges, target, c_devs, ins),\n",
    "            #symdiff_weights(out_edges),\n",
    "            hd_weight(out_edges),\n",
    "            dca_weight(out_edges, ins, last_chords),\n",
    "            permission_weight(out_edges, target_melody_data[len(path)+1][3])\n",
    "            #favor_bass(out_edges, ins),\n",
    "            #in_range(out_edges)\n",
    "        ]\n",
    "        weights = [prod(a) for a in zip(*factors)]\n",
    "        if sum(weights) != 0:\n",
    "            edge = choices(out_edges, weights=weights)[0]\n",
    "        else:\n",
    "            movements = {\n",
    "                pitch:\n",
    "                    {\n",
    "                        'destination': pitch, \n",
    "                        'cent_difference': 0\n",
    "                    } for index, pitch in enumerate(edge[1])}\n",
    "            edge = (edge[1], edge[1], {'transposition': (0, 0, 0, 0, 0, 0), 'movements': movements},)\n",
    "        \n",
    "        next_node = edge[1]\n",
    "        last_chords = last_chords + (next_node,)\n",
    "        if len(last_chords) > 10:\n",
    "            last_chords = last_chords[-10:]\n",
    "        print(last_chords)\n",
    "        #node[1]['count'] += 1\n",
    "        path.append(edge)\n",
    "        s_chord = tuple(sorted(edge[0], key=hs_array_to_fr))\n",
    "        print(c_devs)\n",
    "        #for pdx, pitch in enumerate(s_chord):\n",
    "        #    print(\"here\")\n",
    "        #    print(c_devs[pdx])\n",
    "        #    print(edge[2]['movements'][pitch]['cent_difference'])\n",
    "        #    print(target_melody_data[len(path)][-1])\n",
    "        if sum(weights) != 0:\n",
    "            c_devs = tuple(c_devs[pdx] + edge[2]['movements'][pitch]['cent_difference'] - target_melody_data[len(path)][-1] for pdx, pitch in enumerate(s_chord))\n",
    "        print(s_chord)\n",
    "        print(edge[1])\n",
    "        print(c_devs)\n",
    "        print(target_melody_data[len(path)][2])\n",
    "        print(target_melody_data[len(path)][-1])\n",
    "        #if next_node in check_graph.nodes:\n",
    "        #    check_graph.remove_node(next_node)\n",
    "    return path"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "24267739-0381-4651-8804-4b4665592de2",
   "metadata": {},
   "source": [
    "#### cleanup (this is what is being used)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 236,
   "id": "81f20bd9-e87a-4918-a61b-27b04b6d5aee",
   "metadata": {},
   "outputs": [],
   "source": [
    "from random import choice, choices\n",
    "\n",
    "def hd_sum(chord):\n",
    "    distances = []\n",
    "    size = len(chord)\n",
    "    for i in range(size):\n",
    "        for j in range(i+1, size):\n",
    "            distances += [sum([abs(dist) * log(dims[idx], 2) for idx, dist in enumerate(pitch_difference(chord[i], chord[j]))])]\n",
    "    return sum(distances)\n",
    "    \n",
    "def next_edges(source, ins):  \n",
    "\n",
    "    def transpose_to_nearest(hs_array1, hs_array2):\n",
    "        expanded_pitch = hs_array2\n",
    "        frequency_ratio = hs_array_to_fr(list(hs_array2)) / hs_array_to_fr(list(hs_array1))\n",
    "        if frequency_ratio < 1:\n",
    "            while frequency_ratio < 1:\n",
    "                frequency_ratio *= 2\n",
    "                expanded_pitch[0] += 1\n",
    "        elif frequency_ratio >= 2:\n",
    "            while frequency_ratio >= 2:\n",
    "                frequency_ratio *= 1/2\n",
    "                expanded_pitch[0] += -1\n",
    "        return tuple(expanded_pitch)\n",
    "\n",
    "    def gen_candidates(chord, ins):\n",
    "        for cdx, c_pitch in enumerate(chord):\n",
    "            if cdx != ins:   \n",
    "                for ddx, dim in enumerate(c_pitch[1:]):\n",
    "                    for alt in [-1, 1]:\n",
    "                        new_pitch = list(c_pitch)\n",
    "                        new_pitch[ddx+1] += alt\n",
    "                        s_pitch = chord[ins]\n",
    "                        new_pitch_up = transpose_to_nearest(s_pitch, new_pitch)\n",
    "                        new_chord_up = list(chord)\n",
    "                        new_chord_up[ins] = tuple(new_pitch_up)\n",
    "                        \n",
    "                        if tuple(new_chord_up) != chord and max(new_pitch_up[1:]) <= 1 and min(new_pitch_up[1:]) >= 0 and sum(new_pitch_up[1:]) <= 2:\n",
    "                        #if tuple(new_chord_up) != chord:\n",
    "                            yield tuple(new_chord_up)\n",
    "\n",
    "                        new_pitch_down = list(new_pitch_up)\n",
    "                        new_pitch_down[0] += -1\n",
    "                        new_chord_down = list(chord)\n",
    "                        new_chord_down[ins] = tuple(new_pitch_down)\n",
    "\n",
    "                        if tuple(new_chord_down) != chord and max(new_pitch_down[1:]) <= 1 and min(new_pitch_down[1:]) >= 0 and sum(new_pitch_up[1:]) <= 2:\n",
    "                        #if tuple(new_chord_down) != chord:\n",
    "                            yield tuple(new_chord_down)\n",
    "\n",
    "    for candidate in gen_candidates(source, ins):\n",
    "\n",
    "        movements = {\n",
    "            pitch:\n",
    "            {\n",
    "                'destination': candidate[index], \n",
    "                'cent_difference': cent_difference(pitch, candidate[index])\n",
    "            } for index, pitch in enumerate(source)}\n",
    "        \n",
    "        yield (tuple(source), tuple(candidate), {'transposition': root, 'movements': movements},)\n",
    "\n",
    "\n",
    "# This is for the beginning / breysheet - redone to calculate next chord as a function and not from the graph\n",
    "def stochastic_hamiltonian(root):\n",
    "\n",
    "    #try making this omit the moving voice\n",
    "    def movement_size_weights(edges):\n",
    "        \n",
    "        def max_cent_diff(edge):\n",
    "            res = max([abs(v) for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None])\n",
    "            return res\n",
    "            \n",
    "        def min_cent_diff(edge):\n",
    "            res = [abs(v) for val in edge[2]['movements'].values()  if (v:=val['cent_difference']) is not None]\n",
    "            res.remove(0)\n",
    "            return min(res)\n",
    "            \n",
    "        for e in edges:\n",
    "            yield 100 if ((max_cent_diff(e) < 200) and (min_cent_diff(e)) >= 50) else 1/pow(1.1, max_cent_diff(e))\n",
    "\n",
    "    def in_range(edges):\n",
    "        for e in edges:\n",
    "            s_chord = sorted(e[1], key=hs_array_to_fr)\n",
    "            yield 5 if hs_array_to_fr(sorted(e[1], key=hs_array_to_fr)[0]) >= 0.25 else 0\n",
    "\n",
    "    def hd_weight(edges):\n",
    "        for e in edges:\n",
    "            yield 10 * (1/pow(hd_sum(e[1]), 3))\n",
    "\n",
    "    def permission_weight(edges, allowed_ins):\n",
    "        print(\"here\")\n",
    "        print(allowed_ins)\n",
    "        print(\"---\")\n",
    "        for e in edges:\n",
    "            diff = [ibx for ibx, pitch in enumerate(e[0]) if pitch != e[1][ibx]][0]\n",
    "            yield 1 if diff in allowed_ins else 0\n",
    "\n",
    "    def dca_weight(edges, ins, dev, last_chords):\n",
    "        for e in edges:\n",
    "            #if dev != None:\n",
    "            if False:\n",
    "                yield 1\n",
    "            else:\n",
    "                yield 100 if tuple(e[1][ins]) not in tuple(l[ins] for l in last_chords) else 0\n",
    "\n",
    "    def voice_crossing_weights(edges):\n",
    "        \n",
    "        def has_voice_crossing(edge):\n",
    "            source = list(edge[0])\n",
    "            ordered_source = sorted(source, key=hs_array_to_fr)    \n",
    "            source_order = [ordered_source.index(p) for p in source]\n",
    "            destination = [transpose_pitch(edge[2]['movements'][p]['destination'], edge[2]['transposition']) for p in source]\n",
    "            ordered_destination = sorted(destination, key=hs_array_to_fr)\n",
    "            destination_order = [ordered_destination.index(p) for p in destination]\n",
    "            return source_order != destination_order\n",
    "\n",
    "        for e in edges:\n",
    "            yield 10 if not has_voice_crossing(e) else 0\n",
    "\n",
    "    def target_melody_weights(edges, target_dev, c_devs, ins):\n",
    "\n",
    "        def target_weight(edge, target_dev, c_devs, ins):\n",
    "            source = list(edge[0])\n",
    "            ordered_source = sorted(source, key=hs_array_to_fr)    \n",
    "            candidate_diff = abs(c_devs[ins] + edge[2]['movements'][ordered_source[ins]]['cent_difference'] - target_dev)\n",
    "            return 100 if candidate_diff < 40 else 1/pow(1.1, candidate_diff)\n",
    "            \n",
    "        for e in edges:\n",
    "            yield target_weight(e, target_dev, c_devs, ins) if target_dev != None else 1\n",
    "        \n",
    "    next_node = ((-2, 0, 0, 0, 0), (-1, 0, 0, 0, 0), (-1, 1, 0, 0, 9))\n",
    "    path = []\n",
    "    s_next_node = sorted(next_node, key=hs_array_to_fr)\n",
    "    last_chords = (tuple(s_next_node),)\n",
    "    c_devs = [cent_difference(s_next_node[2], s_next_node[0]), cent_difference(s_next_node[2], s_next_node[1]), 0]\n",
    "    #c_devs = (0, cent_difference(s_next_node[0], s_next_node[1]), cent_difference(s_next_node[0], s_next_node[2]),)\n",
    "    print(c_devs)\n",
    "    for dur, val, ins, dev in target_melody_data[1:]:\n",
    "        print(ins)\n",
    "        print(dev)\n",
    "        out_edges = list(next_edges(next_node, ins))\n",
    "        factors = [\n",
    "            movement_size_weights(out_edges), \n",
    "            voice_crossing_weights(out_edges),\n",
    "            target_melody_weights(out_edges, dev, c_devs, ins),\n",
    "            hd_weight(out_edges),\n",
    "            dca_weight(out_edges, ins, dev, last_chords)\n",
    "            #permission_weight(out_edges, target_melody_data[len(path)+1][3])\n",
    "        ]\n",
    "        weights = [prod(a) for a in zip(*factors)]\n",
    "        if sum(weights) != 0:\n",
    "            edge = choices(out_edges, weights=weights)[0]\n",
    "        else:\n",
    "            movements = {\n",
    "                pitch:\n",
    "                    {\n",
    "                        'destination': pitch, \n",
    "                        'cent_difference': 0\n",
    "                    } for index, pitch in enumerate(edge[1])}\n",
    "            edge = (edge[1], edge[1], {'transposition': (0, 0, 0, 0, 0), 'movements': movements},)\n",
    "        \n",
    "        next_node = edge[1]\n",
    "        last_chords = last_chords + (next_node,)\n",
    "        if len(last_chords) > 4:\n",
    "            last_chords = last_chords[-4:]\n",
    "        path.append(edge)\n",
    "        s_chord = tuple(sorted(edge[0], key=hs_array_to_fr))\n",
    "        print(c_devs)\n",
    "        #for pdx, pitch in enumerate(s_chord):\n",
    "        #    print(\"here\")\n",
    "        #    print(c_devs[pdx])\n",
    "        #    print(edge[2]['movements'][pitch]['cent_difference'])\n",
    "        #    print(target_melody_data[len(path)][-1])\n",
    "        if sum(weights) != 0:\n",
    "            if dev != None:\n",
    "                c_devs = [c_devs[pdx] + edge[2]['movements'][pitch]['cent_difference'] - dev for pdx, pitch in enumerate(s_chord)]\n",
    "            else:\n",
    "                c_devs[ins] += edge[2]['movements'][s_chord[ins]]['cent_difference']\n",
    "        print(s_chord)\n",
    "        print(edge[1])\n",
    "        print(c_devs)\n",
    "    return path"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3102630d-3e61-4653-8482-4e50e0e26858",
   "metadata": {},
   "source": [
    "### model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 237,
   "id": "f8ef1a93-4616-4a83-bbae-23ed13ba4f41",
   "metadata": {},
   "outputs": [],
   "source": [
    "dims = (2, 3, 5, 7, 11)\n",
    "root = (0, 0, 0, 0, 0)\n",
    "chord = (root,)\n",
    "#chord_set = chords(chord, root, 3, 3)\n",
    "#graph = generate_graph(chord_set, 2, 2, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 238,
   "id": "8912c650-a43d-4539-ae24-b5acf9bc543d",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[-1901.9550008653873, -701.9550008653874, 0]\n",
      "1\n",
      "-500.0\n",
      "[-1901.9550008653873, -701.9550008653874, 0]\n",
      "((-2, 0, 0, 0, 0), (-1, 0, 0, 0, 0), (-2, 1, 0, 0, 0))\n",
      "((-2, 0, 0, 0, 0), (-6, 1, 0, 0, 1), (-2, 1, 0, 0, 0))\n",
      "[-1401.9550008653873, -148.68205763524327, 500.0]\n",
      "1\n",
      "-200.0\n",
      "[-1401.9550008653873, -148.68205763524327, 500.0]\n",
      "((-2, 0, 0, 0, 0), (-6, 1, 0, 0, 1), (-2, 1, 0, 0, 0))\n",
      "((-2, 0, 0, 0, 0), (-5, 1, 1, 0, 0), (-2, 1, 0, 0, 0))\n",
      "[-1201.9550008653873, -113.68628613516523, 700.0]\n",
      "0\n",
      "-300.0\n",
      "[-1201.9550008653873, -113.68628613516523, 700.0]\n",
      "((-2, 0, 0, 0, 0), (-5, 1, 1, 0, 0), (-2, 1, 0, 0, 0))\n",
      "((-3, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-2, 1, 0, 0, 0))\n",
      "[-199.99999999999977, 186.31371386483477, 1000.0]\n",
      "2\n",
      "None\n",
      "[-199.99999999999977, 186.31371386483477, 1000.0]\n",
      "((-3, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-2, 1, 0, 0, 0))\n",
      "((-3, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-5, 1, 0, 1, 0))\n",
      "[-199.99999999999977, 186.31371386483477, 768.8259064691249]\n",
      "0\n",
      "-200.0\n",
      "[-199.99999999999977, 186.31371386483477, 768.8259064691249]\n",
      "((-3, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-5, 1, 0, 1, 0))\n",
      "((-4, 0, 0, 1, 0), (-5, 1, 1, 0, 0), (-5, 1, 0, 1, 0))\n",
      "[266.8709056037376, 386.31371386483477, 968.8259064691249]\n",
      "2\n",
      "None\n",
      "[266.8709056037376, 386.31371386483477, 968.8259064691249]\n",
      "((-4, 0, 0, 1, 0), (-5, 1, 1, 0, 0), (-5, 1, 0, 1, 0))\n",
      "((-4, 0, 0, 1, 0), (-5, 1, 1, 0, 0), (-3, 0, 1, 0, 0))\n",
      "[266.8709056037376, 386.31371386483477, 884.3587129994473]\n",
      "2\n",
      "None\n",
      "[266.8709056037376, 386.31371386483477, 884.3587129994473]\n",
      "((-4, 0, 0, 1, 0), (-5, 1, 1, 0, 0), (-3, 0, 1, 0, 0))\n",
      "((-4, 0, 0, 1, 0), (-5, 1, 1, 0, 0), (-7, 0, 0, 1, 1))\n",
      "[266.8709056037376, 386.31371386483477, 818.1888479684942]\n",
      "2\n",
      "1400.0\n",
      "[266.8709056037376, 386.31371386483477, 818.1888479684942]\n",
      "((-4, 0, 0, 1, 0), (-5, 1, 1, 0, 0), (-7, 0, 0, 1, 1))\n",
      "((-4, 0, 0, 1, 0), (-5, 1, 1, 0, 0), (-2, 1, 0, 0, 0))\n",
      "[-1133.1290943962624, -1013.6862861351652, -200.0]\n",
      "1\n",
      "None\n",
      "[-1133.1290943962624, -1013.6862861351652, -200.0]\n",
      "((-4, 0, 0, 1, 0), (-5, 1, 1, 0, 0), (-2, 1, 0, 0, 0))\n",
      "((-4, 0, 0, 1, 0), (-1, 0, 0, 0, 0), (-2, 1, 0, 0, 0))\n",
      "[-1133.1290943962624, -901.9550008653874, -200.0]\n",
      "1\n",
      "None\n",
      "[-1133.1290943962624, -901.9550008653874, -200.0]\n",
      "((-4, 0, 0, 1, 0), (-1, 0, 0, 0, 0), (-2, 1, 0, 0, 0))\n",
      "((-4, 0, 0, 1, 0), (-6, 1, 0, 0, 1), (-2, 1, 0, 0, 0))\n",
      "[-1133.1290943962624, -848.6820576352433, -200.0]\n",
      "1\n",
      "-1100.0\n",
      "[-1133.1290943962624, -848.6820576352433, -200.0]\n",
      "((-4, 0, 0, 1, 0), (-6, 1, 0, 0, 1), (-2, 1, 0, 0, 0))\n",
      "((-4, 0, 0, 1, 0), (-6, 0, 1, 1, 0), (-2, 1, 0, 0, 0))\n",
      "[-33.12909439626242, 353.1846194685721, 900.0]\n",
      "2\n",
      "900.0\n",
      "[-33.12909439626242, 353.1846194685721, 900.0]\n",
      "((-4, 0, 0, 1, 0), (-6, 0, 1, 1, 0), (-2, 1, 0, 0, 0))\n",
      "((-4, 0, 0, 1, 0), (-6, 0, 1, 1, 0), (-5, 1, 0, 1, 0))\n",
      "[-933.1290943962624, -546.8153805314279, -231.1740935308751]\n",
      "1\n",
      "None\n",
      "[-933.1290943962624, -546.8153805314279, -231.1740935308751]\n",
      "((-4, 0, 0, 1, 0), (-6, 0, 1, 1, 0), (-5, 1, 0, 1, 0))\n",
      "((-4, 0, 0, 1, 0), (-7, 0, 0, 1, 1), (-5, 1, 0, 1, 0))\n",
      "[-933.1290943962624, -381.8111520315058, -231.1740935308751]\n",
      "0\n",
      "None\n",
      "[-933.1290943962624, -381.8111520315058, -231.1740935308751]\n",
      "((-4, 0, 0, 1, 0), (-7, 0, 0, 1, 1), (-5, 1, 0, 1, 0))\n",
      "((-3, 1, 0, 0, 0), (-7, 0, 0, 1, 1), (-5, 1, 0, 1, 0))\n",
      "[-1199.9999999999998, -381.8111520315058, -231.1740935308751]\n",
      "1\n",
      "None\n",
      "[-1199.9999999999998, -381.8111520315058, -231.1740935308751]\n",
      "((-3, 1, 0, 0, 0), (-7, 0, 0, 1, 1), (-5, 1, 0, 1, 0))\n",
      "((-3, 1, 0, 0, 0), (-1, 0, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "[-1199.9999999999998, -701.9550008653874, -231.1740935308751]\n",
      "1\n",
      "None\n",
      "[-1199.9999999999998, -701.9550008653874, -231.1740935308751]\n",
      "((-3, 1, 0, 0, 0), (-1, 0, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "((-3, 1, 0, 0, 0), (-6, 1, 0, 0, 1), (-5, 1, 0, 1, 0))\n",
      "[-1199.9999999999998, -648.6820576352433, -231.1740935308751]\n",
      "0\n",
      "None\n",
      "[-1199.9999999999998, -648.6820576352433, -231.1740935308751]\n",
      "((-3, 1, 0, 0, 0), (-6, 1, 0, 0, 1), (-5, 1, 0, 1, 0))\n",
      "((-5, 0, 0, 0, 1), (-6, 1, 0, 0, 1), (-5, 1, 0, 1, 0))\n",
      "[-1350.6370585006307, -648.6820576352433, -231.1740935308751]\n",
      "1\n",
      "-1000.0\n",
      "[-1350.6370585006307, -648.6820576352433, -231.1740935308751]\n",
      "((-5, 0, 0, 0, 1), (-6, 1, 0, 0, 1), (-5, 1, 0, 1, 0))\n",
      "((-5, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-5, 1, 0, 1, 0))\n",
      "[-350.6370585006307, 35.676655364204066, 768.8259064691249]\n",
      "0\n",
      "None\n",
      "[-350.6370585006307, 35.676655364204066, 768.8259064691249]\n",
      "((-5, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-5, 1, 0, 1, 0))\n",
      "((-4, 0, 1, 0, 0), (-7, 0, 1, 0, 1), (-5, 1, 0, 1, 0))\n",
      "[-515.6412870005527, 35.676655364204066, 768.8259064691249]\n",
      "0\n",
      "-400.0\n",
      "[-515.6412870005527, 35.676655364204066, 768.8259064691249]\n",
      "((-4, 0, 1, 0, 0), (-7, 0, 1, 0, 1), (-5, 1, 0, 1, 0))\n",
      "((-5, 0, 0, 1, 0), (-7, 0, 1, 0, 1), (-5, 1, 0, 1, 0))\n",
      "[-733.1290943962626, 435.67665536420407, 1168.825906469125]\n",
      "0\n",
      "None\n",
      "[-733.1290943962626, 435.67665536420407, 1168.825906469125]\n",
      "((-5, 0, 0, 1, 0), (-7, 0, 1, 0, 1), (-5, 1, 0, 1, 0))\n",
      "((-4, 1, 0, 0, 0), (-7, 0, 1, 0, 1), (-5, 1, 0, 1, 0))\n",
      "[-1000.0, 435.67665536420407, 1168.825906469125]\n",
      "0\n",
      "None\n",
      "[-1000.0, 435.67665536420407, 1168.825906469125]\n",
      "((-4, 1, 0, 0, 0), (-7, 0, 1, 0, 1), (-5, 1, 0, 1, 0))\n",
      "((-6, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-5, 1, 0, 1, 0))\n",
      "[-1150.6370585006307, 435.67665536420407, 1168.825906469125]\n",
      "0\n",
      "None\n",
      "[-1150.6370585006307, 435.67665536420407, 1168.825906469125]\n",
      "((-6, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-5, 1, 0, 1, 0))\n",
      "((-5, 0, 1, 0, 0), (-7, 0, 1, 0, 1), (-5, 1, 0, 1, 0))\n",
      "[-1315.641287000553, 435.67665536420407, 1168.825906469125]\n",
      "0\n",
      "-100.0\n",
      "[-1315.641287000553, 435.67665536420407, 1168.825906469125]\n",
      "((-5, 0, 1, 0, 0), (-7, 0, 1, 0, 1), (-5, 1, 0, 1, 0))\n",
      "((-6, 0, 0, 1, 0), (-7, 0, 1, 0, 1), (-5, 1, 0, 1, 0))\n",
      "[-1833.1290943962622, 535.6766553642041, 1268.825906469125]\n",
      "1\n",
      "None\n",
      "[-1833.1290943962622, 535.6766553642041, 1268.825906469125]\n",
      "((-6, 0, 0, 1, 0), (-7, 0, 1, 0, 1), (-5, 1, 0, 1, 0))\n",
      "((-6, 0, 0, 1, 0), (-4, 0, 0, 1, 0), (-5, 1, 0, 1, 0))\n",
      "[-1833.1290943962622, 566.8709056037375, 1268.825906469125]\n",
      "1\n",
      "None\n",
      "[-1833.1290943962622, 566.8709056037375, 1268.825906469125]\n",
      "((-6, 0, 0, 1, 0), (-4, 0, 0, 1, 0), (-5, 1, 0, 1, 0))\n",
      "((-6, 0, 0, 1, 0), (-1, 0, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "[-1833.1290943962622, 798.0449991346126, 1268.825906469125]\n",
      "1\n",
      "None\n",
      "[-1833.1290943962622, 798.0449991346126, 1268.825906469125]\n",
      "((-6, 0, 0, 1, 0), (-1, 0, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "((-6, 0, 0, 1, 0), (-6, 0, 1, 1, 0), (-5, 1, 0, 1, 0))\n",
      "[-1833.1290943962622, 953.1846194685721, 1268.825906469125]\n",
      "1\n",
      "600.0\n",
      "[-1833.1290943962622, 953.1846194685721, 1268.825906469125]\n",
      "((-6, 0, 0, 1, 0), (-6, 0, 1, 1, 0), (-5, 1, 0, 1, 0))\n",
      "((-6, 0, 0, 1, 0), (-7, 0, 0, 1, 1), (-5, 1, 0, 1, 0))\n",
      "[-2433.129094396262, 518.1888479684942, 668.8259064691249]\n",
      "2\n",
      "None\n",
      "[-2433.129094396262, 518.1888479684942, 668.8259064691249]\n",
      "((-6, 0, 0, 1, 0), (-7, 0, 0, 1, 1), (-5, 1, 0, 1, 0))\n",
      "((-6, 0, 0, 1, 0), (-7, 0, 0, 1, 1), (-4, 0, 0, 0, 1))\n",
      "[-2433.129094396262, 518.1888479684942, 749.3629414993692]\n",
      "2\n",
      "None\n",
      "[-2433.129094396262, 518.1888479684942, 749.3629414993692]\n",
      "((-6, 0, 0, 1, 0), (-7, 0, 0, 1, 1), (-4, 0, 0, 0, 1))\n",
      "((-6, 0, 0, 1, 0), (-7, 0, 0, 1, 1), (-3, 0, 0, 1, 0))\n",
      "[-2433.129094396262, 518.1888479684942, 1166.8709056037374]\n",
      "2\n",
      "700.0\n",
      "[-2433.129094396262, 518.1888479684942, 1166.8709056037374]\n",
      "((-6, 0, 0, 1, 0), (-7, 0, 0, 1, 1), (-3, 0, 0, 1, 0))\n",
      "((-6, 0, 0, 1, 0), (-7, 0, 0, 1, 1), (0, 0, 0, 0, 0))\n",
      "[-3133.129094396262, -181.8111520315058, 698.0449991346125]\n",
      "2\n",
      "-100.0\n",
      "[-3133.129094396262, -181.8111520315058, 698.0449991346125]\n",
      "((-6, 0, 0, 1, 0), (-7, 0, 0, 1, 1), (0, 0, 0, 0, 0))\n",
      "((-6, 0, 0, 1, 0), (-7, 0, 0, 1, 1), (-5, 0, 1, 1, 0))\n",
      "[-3033.129094396262, -81.8111520315058, 953.1846194685722]\n",
      "0\n",
      "None\n",
      "[-3033.129094396262, -81.8111520315058, 953.1846194685722]\n",
      "((-6, 0, 0, 1, 0), (-7, 0, 0, 1, 1), (-5, 0, 1, 1, 0))\n",
      "((-7, 0, 0, 0, 1), (-7, 0, 0, 1, 1), (-5, 0, 1, 1, 0))\n",
      "[-3450.637058500631, -81.8111520315058, 953.1846194685722]\n",
      "0\n",
      "None\n",
      "[-3450.637058500631, -81.8111520315058, 953.1846194685722]\n",
      "((-7, 0, 0, 0, 1), (-7, 0, 0, 1, 1), (-5, 0, 1, 1, 0))\n",
      "((-6, 0, 1, 0, 0), (-7, 0, 0, 1, 1), (-5, 0, 1, 1, 0))\n",
      "[-3615.641287000553, -81.8111520315058, 953.1846194685722]\n",
      "0\n",
      "-1100.0\n",
      "[-3615.641287000553, -81.8111520315058, 953.1846194685722]\n",
      "((-6, 0, 1, 0, 0), (-7, 0, 0, 1, 1), (-5, 0, 1, 1, 0))\n",
      "((-7, 0, 0, 1, 0), (-7, 0, 0, 1, 1), (-5, 0, 1, 1, 0))\n",
      "[-3133.129094396263, 1018.1888479684942, 2053.1846194685722]\n",
      "1\n",
      "None\n",
      "[-3133.129094396263, 1018.1888479684942, 2053.1846194685722]\n",
      "((-7, 0, 0, 1, 0), (-7, 0, 0, 1, 1), (-5, 0, 1, 1, 0))\n",
      "((-7, 0, 0, 1, 0), (-3, 0, 1, 0, 0), (-5, 0, 1, 1, 0))\n",
      "[-3133.129094396263, 1084.3587129994473, 2053.1846194685722]\n",
      "1\n",
      "None\n",
      "[-3133.129094396263, 1084.3587129994473, 2053.1846194685722]\n",
      "((-7, 0, 0, 1, 0), (-3, 0, 1, 0, 0), (-5, 0, 1, 1, 0))\n",
      "((-7, 0, 0, 1, 0), (-5, 1, 0, 1, 0), (-5, 0, 1, 1, 0))\n",
      "[-3133.129094396263, 1168.825906469125, 2053.1846194685722]\n",
      "2\n",
      "1200.0\n",
      "[-3133.129094396263, 1168.825906469125, 2053.1846194685722]\n",
      "((-7, 0, 0, 1, 0), (-5, 1, 0, 1, 0), (-5, 0, 1, 1, 0))\n",
      "((-7, 0, 0, 1, 0), (-5, 1, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "[-4333.129094396263, -31.174093530875098, 466.87090560373736]\n",
      "0\n",
      "-1000.0\n",
      "[-4333.129094396263, -31.174093530875098, 466.87090560373736]\n",
      "((-7, 0, 0, 1, 0), (-5, 1, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "((-8, 1, 0, 1, 0), (-5, 1, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "[-2631.1740935308753, 968.8259064691249, 1466.8709056037374]\n",
      "1\n",
      "None\n",
      "[-2631.1740935308753, 968.8259064691249, 1466.8709056037374]\n",
      "((-8, 1, 0, 1, 0), (-5, 1, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "((-8, 1, 0, 1, 0), (-7, 0, 0, 1, 1), (-3, 0, 0, 1, 0))\n",
      "[-2631.1740935308753, 818.1888479684942, 1466.8709056037374]\n",
      "1\n",
      "500.0\n",
      "[-2631.1740935308753, 818.1888479684942, 1466.8709056037374]\n",
      "((-8, 1, 0, 1, 0), (-7, 0, 0, 1, 1), (-3, 0, 0, 1, 0))\n",
      "((-8, 1, 0, 1, 0), (-1, 0, 0, 0, 0), (-3, 0, 0, 1, 0))\n",
      "[-3131.1740935308753, -1.955000865387433, 966.8709056037374]\n",
      "2\n",
      "700.0\n",
      "[-3131.1740935308753, -1.955000865387433, 966.8709056037374]\n",
      "((-8, 1, 0, 1, 0), (-1, 0, 0, 0, 0), (-3, 0, 0, 1, 0))\n",
      "((-8, 1, 0, 1, 0), (-1, 0, 0, 0, 0), (-2, 1, 0, 0, 0))\n",
      "[-3831.1740935308753, -701.9550008653874, -1.1368683772161603e-13]\n",
      "0\n",
      "-1100.0\n",
      "[-3831.1740935308753, -701.9550008653874, -1.1368683772161603e-13]\n",
      "((-8, 1, 0, 1, 0), (-1, 0, 0, 0, 0), (-2, 1, 0, 0, 0))\n",
      "((-3, 0, 0, 0, 0), (-1, 0, 0, 0, 0), (-2, 1, 0, 0, 0))\n",
      "[-2001.9550008653878, 398.04499913461257, 1100.0]\n",
      "0\n",
      "-100.0\n",
      "[-2001.9550008653878, 398.04499913461257, 1100.0]\n",
      "((-3, 0, 0, 0, 0), (-1, 0, 0, 0, 0), (-2, 1, 0, 0, 0))\n",
      "((-4, 1, 0, 0, 0), (-1, 0, 0, 0, 0), (-2, 1, 0, 0, 0))\n",
      "[-1200.0000000000005, 498.04499913461257, 1200.0]\n",
      "1\n",
      "500.0\n",
      "[-1200.0000000000005, 498.04499913461257, 1200.0]\n",
      "((-4, 1, 0, 0, 0), (-1, 0, 0, 0, 0), (-2, 1, 0, 0, 0))\n",
      "((-4, 1, 0, 0, 0), (-6, 1, 0, 0, 1), (-2, 1, 0, 0, 0))\n",
      "[-1700.0000000000005, 51.31794236475673, 700.0]\n",
      "2\n",
      "800.0\n",
      "[-1700.0000000000005, 51.31794236475673, 700.0]\n",
      "((-4, 1, 0, 0, 0), (-6, 1, 0, 0, 1), (-2, 1, 0, 0, 0))\n",
      "((-4, 1, 0, 0, 0), (-6, 1, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[-2500.0000000000005, -748.6820576352433, -250.63705850063081]\n",
      "2\n",
      "-100.0\n",
      "[-2500.0000000000005, -748.6820576352433, -250.63705850063081]\n",
      "((-4, 1, 0, 0, 0), (-6, 1, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-4, 1, 0, 0, 0), (-6, 1, 0, 0, 1), (-5, 1, 0, 1, 0))\n",
      "[-2400.0000000000005, -648.6820576352433, -231.1740935308751]\n",
      "1\n",
      "-900.0\n",
      "[-2400.0000000000005, -648.6820576352433, -231.1740935308751]\n",
      "((-4, 1, 0, 0, 0), (-6, 1, 0, 0, 1), (-5, 1, 0, 1, 0))\n",
      "((-4, 1, 0, 0, 0), (-4, 0, 0, 1, 0), (-5, 1, 0, 1, 0))\n",
      "[-1500.0000000000005, -33.12909439626253, 668.8259064691249]\n",
      "1\n",
      "-100.0\n",
      "[-1500.0000000000005, -33.12909439626253, 668.8259064691249]\n",
      "((-4, 1, 0, 0, 0), (-4, 0, 0, 1, 0), (-5, 1, 0, 1, 0))\n",
      "((-4, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-5, 1, 0, 1, 0))\n",
      "[-1400.0000000000005, 186.31371386483477, 768.8259064691249]\n",
      "0\n",
      "None\n",
      "[-1400.0000000000005, 186.31371386483477, 768.8259064691249]\n",
      "((-4, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-5, 1, 0, 1, 0))\n",
      "((-5, 0, 0, 1, 0), (-5, 1, 1, 0, 0), (-5, 1, 0, 1, 0))\n",
      "[-1133.129094396263, 186.31371386483477, 768.8259064691249]\n",
      "0\n",
      "None\n",
      "[-1133.129094396263, 186.31371386483477, 768.8259064691249]\n",
      "((-5, 0, 0, 1, 0), (-5, 1, 1, 0, 0), (-5, 1, 0, 1, 0))\n",
      "((-5, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-5, 1, 0, 1, 0))\n",
      "[-1715.6412870005533, 186.31371386483477, 768.8259064691249]\n",
      "0\n",
      "None\n",
      "[-1715.6412870005533, 186.31371386483477, 768.8259064691249]\n",
      "((-5, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-5, 1, 0, 1, 0))\n",
      "((-6, 0, 0, 1, 0), (-5, 1, 1, 0, 0), (-5, 1, 0, 1, 0))\n",
      "[-2333.1290943962626, 186.31371386483477, 768.8259064691249]\n",
      "0\n",
      "None\n",
      "[-2333.1290943962626, 186.31371386483477, 768.8259064691249]\n",
      "((-6, 0, 0, 1, 0), (-5, 1, 1, 0, 0), (-5, 1, 0, 1, 0))\n",
      "((-5, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-5, 1, 0, 1, 0))\n",
      "[-2600.000000000001, 186.31371386483477, 768.8259064691249]\n",
      "0\n",
      "-400.0\n",
      "[-2600.000000000001, 186.31371386483477, 768.8259064691249]\n",
      "((-5, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-5, 1, 0, 1, 0))\n",
      "((-6, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-5, 1, 0, 1, 0))\n",
      "[-2515.6412870005533, 586.3137138648348, 1168.825906469125]\n",
      "1\n",
      "None\n",
      "[-2515.6412870005533, 586.3137138648348, 1168.825906469125]\n",
      "((-6, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-5, 1, 0, 1, 0))\n",
      "((-6, 0, 1, 0, 0), (-1, 0, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "[-2515.6412870005533, 698.0449991346126, 1168.825906469125]\n",
      "0\n",
      "-100.0\n",
      "[-2515.6412870005533, 698.0449991346126, 1168.825906469125]\n",
      "((-6, 0, 1, 0, 0), (-1, 0, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "((-7, 0, 0, 0, 1), (-1, 0, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "[-2250.6370585006316, 798.0449991346126, 1268.825906469125]\n",
      "1\n",
      "None\n",
      "[-2250.6370585006316, 798.0449991346126, 1268.825906469125]\n",
      "((-7, 0, 0, 0, 1), (-1, 0, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "((-7, 0, 0, 0, 1), (-6, 1, 0, 0, 1), (-5, 1, 0, 1, 0))\n",
      "[-2250.6370585006316, 851.3179423647567, 1268.825906469125]\n",
      "1\n",
      "None\n",
      "[-2250.6370585006316, 851.3179423647567, 1268.825906469125]\n",
      "((-7, 0, 0, 0, 1), (-6, 1, 0, 0, 1), (-5, 1, 0, 1, 0))\n",
      "((-7, 0, 0, 0, 1), (-7, 0, 0, 1, 1), (-5, 1, 0, 1, 0))\n",
      "[-2250.6370585006316, 1118.1888479684942, 1268.825906469125]\n",
      "2\n",
      "None\n",
      "[-2250.6370585006316, 1118.1888479684942, 1268.825906469125]\n",
      "((-7, 0, 0, 0, 1), (-7, 0, 0, 1, 1), (-5, 1, 0, 1, 0))\n",
      "((-7, 0, 0, 0, 1), (-7, 0, 0, 1, 1), (-4, 0, 0, 0, 1))\n",
      "[-2250.6370585006316, 1118.1888479684942, 1349.3629414993693]\n",
      "1\n",
      "800.0\n",
      "[-2250.6370585006316, 1118.1888479684942, 1349.3629414993693]\n",
      "((-7, 0, 0, 0, 1), (-7, 0, 0, 1, 1), (-4, 0, 0, 0, 1))\n",
      "((-7, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[-3050.6370585006316, -264.32334463579593, 549.3629414993693]\n",
      "2\n",
      "None\n",
      "[-3050.6370585006316, -264.32334463579593, 549.3629414993693]\n",
      "((-7, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-7, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-3, 0, 1, 0, 0))\n",
      "[-3050.6370585006316, -264.32334463579593, 384.35871299944745]\n",
      "2\n",
      "None\n",
      "[-3050.6370585006316, -264.32334463579593, 384.35871299944745]\n",
      "((-7, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-3, 0, 1, 0, 0))\n",
      "((-7, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-7, 0, 0, 1, 1))\n",
      "[-3050.6370585006316, -264.32334463579593, 318.1888479684943]\n",
      "2\n",
      "500.0\n",
      "[-3050.6370585006316, -264.32334463579593, 318.1888479684943]\n",
      "((-7, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-7, 0, 0, 1, 1))\n",
      "((-7, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-6, 1, 0, 0, 1))\n",
      "[-3550.6370585006316, -764.3233446357959, -448.68205763524315]\n",
      "2\n",
      "-100.0\n",
      "[-3550.6370585006316, -764.3233446357959, -448.68205763524315]\n",
      "((-7, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-6, 1, 0, 0, 1))\n",
      "((-7, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-1, 0, 0, 0, 0))\n",
      "[-3450.6370585006316, -664.3233446357959, -401.9550008653873]\n",
      "1\n",
      "None\n",
      "[-3450.6370585006316, -664.3233446357959, -401.9550008653873]\n",
      "((-7, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-1, 0, 0, 0, 0))\n",
      "((-7, 0, 0, 0, 1), (-4, 0, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "[-3450.6370585006316, -633.1290943962625, -401.9550008653873]\n",
      "1\n",
      "None\n",
      "[-3450.6370585006316, -633.1290943962625, -401.9550008653873]\n",
      "((-7, 0, 0, 0, 1), (-4, 0, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "((-7, 0, 0, 0, 1), (-3, 1, 0, 0, 0), (-1, 0, 0, 0, 0))\n",
      "[-3450.6370585006316, -899.9999999999999, -401.9550008653873]\n",
      "1\n",
      "None\n",
      "[-3450.6370585006316, -899.9999999999999, -401.9550008653873]\n",
      "((-7, 0, 0, 0, 1), (-3, 1, 0, 0, 0), (-1, 0, 0, 0, 0))\n",
      "((-7, 0, 0, 0, 1), (-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0))\n",
      "[-3450.6370585006316, -1050.6370585006307, -401.9550008653873]\n",
      "1\n",
      "None\n",
      "[-3450.6370585006316, -1050.6370585006307, -401.9550008653873]\n",
      "((-7, 0, 0, 0, 1), (-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0))\n",
      "((-7, 0, 0, 0, 1), (-4, 0, 1, 0, 0), (-1, 0, 0, 0, 0))\n",
      "[-3450.6370585006316, -1215.6412870005527, -401.9550008653873]\n",
      "0\n",
      "None\n",
      "[-3450.6370585006316, -1215.6412870005527, -401.9550008653873]\n",
      "((-7, 0, 0, 0, 1), (-4, 0, 1, 0, 0), (-1, 0, 0, 0, 0))\n",
      "((-6, 0, 1, 0, 0), (-4, 0, 1, 0, 0), (-1, 0, 0, 0, 0))\n",
      "[-3615.6412870005533, -1215.6412870005527, -401.9550008653873]\n",
      "1\n",
      "-200.0\n",
      "[-3615.6412870005533, -1215.6412870005527, -401.9550008653873]\n",
      "((-6, 0, 1, 0, 0), (-4, 0, 1, 0, 0), (-1, 0, 0, 0, 0))\n",
      "((-6, 0, 1, 0, 0), (-4, 0, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "[-3415.6412870005533, -433.1290943962624, -201.95500086538732]\n",
      "0\n",
      "None\n",
      "[-3415.6412870005533, -433.1290943962624, -201.95500086538732]\n",
      "((-6, 0, 1, 0, 0), (-4, 0, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "((-10, 0, 0, 1, 1), (-4, 0, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "[-3481.811152031507, -433.1290943962624, -201.95500086538732]\n",
      "0\n",
      "-700.0\n",
      "[-3481.811152031507, -433.1290943962624, -201.95500086538732]\n",
      "((-10, 0, 0, 1, 1), (-4, 0, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "((-3, 0, 0, 0, 0), (-4, 0, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "[-1901.9550008653878, 266.8709056037376, 498.0449991346127]\n",
      "2\n",
      "None\n",
      "[-1901.9550008653878, 266.8709056037376, 498.0449991346127]\n",
      "((-3, 0, 0, 0, 0), (-4, 0, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "((-3, 0, 0, 0, 0), (-4, 0, 0, 1, 0), (-6, 0, 1, 1, 0))\n",
      "[-1901.9550008653878, 266.8709056037376, 653.1846194685722]\n",
      "1\n",
      "None\n",
      "[-1901.9550008653878, 266.8709056037376, 653.1846194685722]\n",
      "((-3, 0, 0, 0, 0), (-4, 0, 0, 1, 0), (-6, 0, 1, 1, 0))\n",
      "((-3, 0, 0, 0, 0), (-3, 1, 0, 0, 0), (-6, 0, 1, 1, 0))\n",
      "[-1901.9550008653878, 2.2737367544323206e-13, 653.1846194685722]\n",
      "2\n",
      "None\n",
      "[-1901.9550008653878, 2.2737367544323206e-13, 653.1846194685722]\n",
      "((-3, 0, 0, 0, 0), (-3, 1, 0, 0, 0), (-6, 0, 1, 1, 0))\n",
      "((-3, 0, 0, 0, 0), (-3, 1, 0, 0, 0), (-6, 1, 0, 0, 1))\n",
      "[-1901.9550008653878, 2.2737367544323206e-13, 551.3179423647568]\n",
      "1\n",
      "None\n",
      "[-1901.9550008653878, 2.2737367544323206e-13, 551.3179423647568]\n",
      "((-3, 0, 0, 0, 0), (-3, 1, 0, 0, 0), (-6, 1, 0, 0, 1))\n",
      "((-3, 0, 0, 0, 0), (-5, 0, 0, 0, 1), (-6, 1, 0, 0, 1))\n",
      "[-1901.9550008653878, -150.6370585006307, 551.3179423647568]\n",
      "2\n",
      "None\n",
      "[-1901.9550008653878, -150.6370585006307, 551.3179423647568]\n",
      "((-3, 0, 0, 0, 0), (-5, 0, 0, 0, 1), (-6, 1, 0, 0, 1))\n",
      "((-3, 0, 0, 0, 0), (-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0))\n",
      "[-1901.9550008653878, -150.6370585006307, 498.0449991346127]\n",
      "1\n",
      "500.0\n",
      "[-1901.9550008653878, -150.6370585006307, 498.0449991346127]\n",
      "((-3, 0, 0, 0, 0), (-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0))\n",
      "((-3, 0, 0, 0, 0), (-4, 0, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "[-2401.955000865388, -233.12909439626242, -1.9550008653873192]\n",
      "2\n",
      "None\n",
      "[-2401.955000865388, -233.12909439626242, -1.9550008653873192]\n",
      "((-3, 0, 0, 0, 0), (-4, 0, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "((-3, 0, 0, 0, 0), (-4, 0, 0, 1, 0), (-6, 0, 1, 1, 0))\n",
      "[-2401.955000865388, -233.12909439626242, 153.18461946857224]\n",
      "2\n",
      "700.0\n",
      "[-2401.955000865388, -233.12909439626242, 153.18461946857224]\n",
      "((-3, 0, 0, 0, 0), (-4, 0, 0, 1, 0), (-6, 0, 1, 1, 0))\n",
      "((-3, 0, 0, 0, 0), (-4, 0, 0, 1, 0), (-2, 1, 0, 0, 0))\n",
      "[-3101.955000865388, -933.1290943962624, 1.1368683772161603e-13]\n",
      "0\n",
      "None\n",
      "[-3101.955000865388, -933.1290943962624, 1.1368683772161603e-13]\n",
      "((-3, 0, 0, 0, 0), (-4, 0, 0, 1, 0), (-2, 1, 0, 0, 0))\n",
      "((-8, 1, 0, 0, 1), (-4, 0, 0, 1, 0), (-2, 1, 0, 0, 0))\n",
      "[-3048.682057635244, -933.1290943962624, 1.1368683772161603e-13]\n",
      "0\n",
      "None\n",
      "[-3048.682057635244, -933.1290943962624, 1.1368683772161603e-13]\n",
      "((-8, 1, 0, 0, 1), (-4, 0, 0, 1, 0), (-2, 1, 0, 0, 0))\n",
      "((-8, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (-2, 1, 0, 0, 0))\n",
      "[-2946.815380531428, -933.1290943962624, 1.1368683772161603e-13]\n",
      "0\n",
      "None\n",
      "[-2946.815380531428, -933.1290943962624, 1.1368683772161603e-13]\n",
      "((-8, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (-2, 1, 0, 0, 0))\n",
      "((-9, 0, 0, 1, 1), (-4, 0, 0, 1, 0), (-2, 1, 0, 0, 0))\n",
      "[-2781.8111520315065, -933.1290943962624, 1.1368683772161603e-13]\n",
      "0\n",
      "-1000.0\n",
      "[-2781.8111520315065, -933.1290943962624, 1.1368683772161603e-13]\n",
      "((-9, 0, 0, 1, 1), (-4, 0, 0, 1, 0), (-2, 1, 0, 0, 0))\n",
      "((-2, 0, 0, 0, 0), (-4, 0, 0, 1, 0), (-2, 1, 0, 0, 0))\n",
      "[-901.9550008653878, 66.87090560373758, 1000.0000000000001]\n",
      "0\n",
      "-200.0\n",
      "[-901.9550008653878, 66.87090560373758, 1000.0000000000001]\n",
      "((-2, 0, 0, 0, 0), (-4, 0, 0, 1, 0), (-2, 1, 0, 0, 0))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (-2, 1, 0, 0, 0))\n",
      "[-546.8153805314278, 266.8709056037376, 1200.0]\n",
      "2\n",
      "None\n",
      "[-546.8153805314278, 266.8709056037376, 1200.0]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (-2, 1, 0, 0, 0))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (-5, 1, 0, 1, 0))\n",
      "[-546.8153805314278, 266.8709056037376, 968.8259064691249]\n",
      "2\n",
      "None\n",
      "[-546.8153805314278, 266.8709056037376, 968.8259064691249]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (-5, 1, 0, 1, 0))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (-3, 0, 1, 0, 0))\n",
      "[-546.8153805314278, 266.8709056037376, 884.3587129994473]\n",
      "2\n",
      "None\n",
      "[-546.8153805314278, 266.8709056037376, 884.3587129994473]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (-3, 0, 1, 0, 0))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (-7, 0, 0, 1, 1))\n",
      "[-546.8153805314278, 266.8709056037376, 818.1888479684942]\n",
      "2\n",
      "1400.0\n",
      "[-546.8153805314278, 266.8709056037376, 818.1888479684942]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (-7, 0, 0, 1, 1))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "[-1946.8153805314278, -1133.1290943962624, 66.87090560373736]\n",
      "0\n",
      "-1300.0\n",
      "[-1946.8153805314278, -1133.1290943962624, 66.87090560373736]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "[-331.17409353087555, 166.87090560373758, 1366.8709056037374]\n",
      "1\n",
      "None\n",
      "[-331.17409353087555, 166.87090560373758, 1366.8709056037374]\n",
      "((-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-1, 0, 0, 0, 0), (-3, 0, 0, 1, 0))\n",
      "[-331.17409353087555, 398.0449991346127, 1366.8709056037374]\n",
      "1\n",
      "None\n",
      "[-331.17409353087555, 398.0449991346127, 1366.8709056037374]\n",
      "((-6, 1, 0, 1, 0), (-1, 0, 0, 0, 0), (-3, 0, 0, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-6, 0, 1, 1, 0), (-3, 0, 0, 1, 0))\n",
      "[-331.17409353087555, 553.1846194685722, 1366.8709056037374]\n",
      "1\n",
      "None\n",
      "[-331.17409353087555, 553.1846194685722, 1366.8709056037374]\n",
      "((-6, 1, 0, 1, 0), (-6, 0, 1, 1, 0), (-3, 0, 0, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-7, 0, 0, 1, 1), (-3, 0, 0, 1, 0))\n",
      "[-331.17409353087555, 718.1888479684943, 1366.8709056037374]\n",
      "1\n",
      "None\n",
      "[-331.17409353087555, 718.1888479684943, 1366.8709056037374]\n",
      "((-6, 1, 0, 1, 0), (-7, 0, 0, 1, 1), (-3, 0, 0, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-5, 1, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "[-331.17409353087555, 868.825906469125, 1366.8709056037374]\n",
      "1\n",
      "500.0\n",
      "[-331.17409353087555, 868.825906469125, 1366.8709056037374]\n",
      "((-6, 1, 0, 1, 0), (-5, 1, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-2, 1, 0, 0, 0), (-3, 0, 0, 1, 0))\n",
      "[-831.1740935308756, 600.0, 866.8709056037374]\n",
      "2\n",
      "600.0\n",
      "[-831.1740935308756, 600.0, 866.8709056037374]\n",
      "((-6, 1, 0, 1, 0), (-2, 1, 0, 0, 0), (-3, 0, 0, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-2, 1, 0, 0, 0), (-4, 1, 1, 0, 0))\n",
      "[-1431.1740935308756, 0.0, 386.31371386483465]\n",
      "1\n",
      "-1000.0\n",
      "[-1431.1740935308756, 0.0, 386.31371386483465]\n",
      "((-6, 1, 0, 1, 0), (-2, 1, 0, 0, 0), (-4, 1, 1, 0, 0))\n",
      "((-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0), (-4, 1, 1, 0, 0))\n",
      "[-431.17409353087555, 66.87090560373747, 1386.3137138648347]\n",
      "0\n",
      "-500.0\n",
      "[-431.17409353087555, 66.87090560373747, 1386.3137138648347]\n",
      "((-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0), (-4, 1, 1, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0), (-4, 1, 1, 0, 0))\n",
      "[-15.64128700055312, 566.8709056037375, 1886.3137138648347]\n",
      "1\n",
      "1000.0\n",
      "[-15.64128700055312, 566.8709056037375, 1886.3137138648347]\n",
      "((-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0), (-4, 1, 1, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "[-1015.6412870005531, -313.68628613516523, 886.3137138648347]\n",
      "2\n",
      "600.0\n",
      "[-1015.6412870005531, -313.68628613516523, 886.3137138648347]\n",
      "((-4, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-6, 0, 1, 0, 1))\n",
      "[-1615.6412870005531, -913.6862861351652, 135.67665536420395]\n",
      "2\n",
      "-400.0\n",
      "[-1615.6412870005531, -913.6862861351652, 135.67665536420395]\n",
      "((-4, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-6, 0, 1, 0, 1))\n",
      "((-4, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-3, 0, 1, 0, 0))\n",
      "[-1215.6412870005531, -513.6862861351652, -15.64128700055278]\n",
      "1\n",
      "None\n",
      "[-1215.6412870005531, -513.6862861351652, -15.64128700055278]\n",
      "((-4, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-3, 0, 1, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-1, 0, 0, 0, 0), (-3, 0, 1, 0, 0))\n",
      "[-1215.6412870005531, -401.95500086538743, -15.64128700055278]\n",
      "1\n",
      "None\n",
      "[-1215.6412870005531, -401.95500086538743, -15.64128700055278]\n",
      "((-4, 0, 1, 0, 0), (-1, 0, 0, 0, 0), (-3, 0, 1, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0), (-3, 0, 1, 0, 0))\n",
      "[-1215.6412870005531, -246.81538053142788, -15.64128700055278]\n",
      "1\n",
      "-400.0\n",
      "[-1215.6412870005531, -246.81538053142788, -15.64128700055278]\n",
      "((-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0), (-3, 0, 1, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-7, 0, 1, 0, 1), (-3, 0, 1, 0, 0))\n",
      "[-815.6412870005531, -264.32334463579593, 384.3587129994472]\n",
      "2\n",
      "None\n",
      "[-815.6412870005531, -264.32334463579593, 384.3587129994472]\n",
      "((-4, 0, 1, 0, 0), (-7, 0, 1, 0, 1), (-3, 0, 1, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-7, 0, 1, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[-815.6412870005531, -264.32334463579593, 549.3629414993691]\n",
      "2\n",
      "None\n",
      "[-815.6412870005531, -264.32334463579593, 549.3629414993691]\n",
      "((-4, 0, 1, 0, 0), (-7, 0, 1, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-4, 0, 1, 0, 0), (-7, 0, 1, 0, 1), (-6, 0, 1, 0, 1))\n",
      "[-815.6412870005531, -264.32334463579593, 935.676655364204]\n",
      "1\n",
      "-200.0\n",
      "[-815.6412870005531, -264.32334463579593, 935.676655364204]\n",
      "((-4, 0, 1, 0, 0), (-7, 0, 1, 0, 1), (-6, 0, 1, 0, 1))\n",
      "((-4, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-6, 0, 1, 0, 1))\n",
      "[-615.6412870005531, 86.31371386483477, 1135.676655364204]\n",
      "2\n",
      "1100.0\n",
      "[-615.6412870005531, 86.31371386483477, 1135.676655364204]\n",
      "((-4, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-6, 0, 1, 0, 1))\n",
      "((-4, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "[-1715.6412870005531, -1013.6862861351652, 186.31371386483465]\n",
      "0\n",
      "None\n",
      "[-1715.6412870005531, -1013.6862861351652, 186.31371386483465]\n",
      "((-4, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "((-3, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "[-1400.0000000000002, -1013.6862861351652, 186.31371386483465]\n",
      "0\n",
      "None\n",
      "[-1400.0000000000002, -1013.6862861351652, 186.31371386483465]\n",
      "((-3, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "((-4, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "[-2600.0000000000005, -1013.6862861351652, 186.31371386483465]\n",
      "0\n",
      "None\n",
      "[-2600.0000000000005, -1013.6862861351652, 186.31371386483465]\n",
      "((-4, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "((-5, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "[-2915.6412870005533, -1013.6862861351652, 186.31371386483465]\n",
      "0\n",
      "-1200.0\n",
      "[-2915.6412870005533, -1013.6862861351652, 186.31371386483465]\n",
      "((-5, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "((-5, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "[-2600.000000000001, 186.31371386483477, 1386.3137138648347]\n",
      "2\n",
      "None\n",
      "[-2600.000000000001, 186.31371386483477, 1386.3137138648347]\n",
      "((-5, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "((-5, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (0, 0, 0, 0, 0))\n",
      "[-2600.000000000001, 186.31371386483477, 1498.0449991346125]\n",
      "2\n",
      "None\n",
      "[-2600.000000000001, 186.31371386483477, 1498.0449991346125]\n",
      "((-5, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (0, 0, 0, 0, 0))\n",
      "((-5, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-5, 1, 0, 0, 1))\n",
      "[-2600.000000000001, 186.31371386483477, 1551.3179423647566]\n",
      "2\n",
      "None\n",
      "[-2600.000000000001, 186.31371386483477, 1551.3179423647566]\n",
      "((-5, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-5, 1, 0, 0, 1))\n",
      "((-5, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-2, 0, 1, 0, 0))\n",
      "[-2600.000000000001, 186.31371386483477, 1884.3587129994473]\n",
      "0\n",
      "None\n",
      "[-2600.000000000001, 186.31371386483477, 1884.3587129994473]\n",
      "((-5, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-2, 0, 1, 0, 0))\n",
      "((-9, 0, 1, 0, 1), (-5, 1, 1, 0, 0), (-2, 0, 1, 0, 0))\n",
      "[-2364.3233446357963, 186.31371386483477, 1884.3587129994473]\n",
      "2\n",
      "1000.0\n",
      "[-2364.3233446357963, 186.31371386483477, 1884.3587129994473]\n",
      "((-9, 0, 1, 0, 1), (-5, 1, 1, 0, 0), (-2, 0, 1, 0, 0))\n",
      "((-9, 0, 1, 0, 1), (-5, 1, 1, 0, 0), (-2, 1, 0, 0, 0))\n",
      "[-3364.3233446357963, -813.6862861351652, 0.0]\n",
      "0\n",
      "None\n",
      "[-3364.3233446357963, -813.6862861351652, 0.0]\n",
      "((-9, 0, 1, 0, 1), (-5, 1, 1, 0, 0), (-2, 1, 0, 0, 0))\n",
      "((-7, 1, 1, 0, 0), (-5, 1, 1, 0, 0), (-2, 1, 0, 0, 0))\n",
      "[-3213.686286135166, -813.6862861351652, 0.0]\n",
      "0\n",
      "-1200.0\n",
      "[-3213.686286135166, -813.6862861351652, 0.0]\n",
      "((-7, 1, 1, 0, 0), (-5, 1, 1, 0, 0), (-2, 1, 0, 0, 0))\n",
      "((-5, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-2, 1, 0, 0, 0))\n",
      "[-1515.6412870005533, 386.31371386483477, 1200.0]\n",
      "0\n",
      "-200.0\n",
      "[-1515.6412870005533, 386.31371386483477, 1200.0]\n",
      "((-5, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-2, 1, 0, 0, 0))\n",
      "((-6, 1, 1, 0, 0), (-5, 1, 1, 0, 0), (-2, 1, 0, 0, 0))\n",
      "[-613.686286135166, 586.3137138648348, 1400.0]\n",
      "2\n",
      "1200.0\n",
      "[-613.686286135166, 586.3137138648348, 1400.0]\n",
      "((-6, 1, 1, 0, 0), (-5, 1, 1, 0, 0), (-2, 1, 0, 0, 0))\n",
      "((-6, 1, 1, 0, 0), (-5, 1, 1, 0, 0), (-3, 0, 1, 0, 0))\n",
      "[-1813.686286135166, -613.6862861351652, -115.64128700055267]\n",
      "0\n",
      "-900.0\n",
      "[-1813.686286135166, -613.6862861351652, -115.64128700055267]\n",
      "((-6, 1, 1, 0, 0), (-5, 1, 1, 0, 0), (-3, 0, 1, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-3, 0, 1, 0, 0))\n",
      "[-415.6412870005531, 286.31371386483477, 784.3587129994473]\n",
      "0\n",
      "100.0\n",
      "[-415.6412870005531, 286.31371386483477, 784.3587129994473]\n",
      "((-4, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-3, 0, 1, 0, 0))\n",
      "((-3, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-3, 0, 1, 0, 0))\n",
      "[-200.00000000000023, 186.31371386483477, 684.3587129994473]\n",
      "0\n",
      "-100.0\n",
      "[-200.00000000000023, 186.31371386483477, 684.3587129994473]\n",
      "((-3, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-3, 0, 1, 0, 0))\n",
      "((-7, 0, 1, 0, 1), (-5, 1, 1, 0, 0), (-3, 0, 1, 0, 0))\n",
      "[135.67665536420373, 286.31371386483477, 784.3587129994473]\n",
      "1\n",
      "None\n",
      "[135.67665536420373, 286.31371386483477, 784.3587129994473]\n",
      "((-7, 0, 1, 0, 1), (-5, 1, 1, 0, 0), (-3, 0, 1, 0, 0))\n",
      "((-7, 0, 1, 0, 1), (-1, 0, 0, 0, 0), (-3, 0, 1, 0, 0))\n",
      "[135.67665536420373, 398.04499913461257, 784.3587129994473]\n",
      "1\n",
      "None\n",
      "[135.67665536420373, 398.04499913461257, 784.3587129994473]\n",
      "((-7, 0, 1, 0, 1), (-1, 0, 0, 0, 0), (-3, 0, 1, 0, 0))\n",
      "((-7, 0, 1, 0, 1), (-6, 0, 1, 1, 0), (-3, 0, 1, 0, 0))\n",
      "[135.67665536420373, 553.1846194685721, 784.3587129994473]\n",
      "1\n",
      "500.0\n",
      "[135.67665536420373, 553.1846194685721, 784.3587129994473]\n",
      "((-7, 0, 1, 0, 1), (-6, 0, 1, 1, 0), (-3, 0, 1, 0, 0))\n",
      "((-7, 0, 1, 0, 1), (-6, 0, 1, 1, 0), (-3, 0, 1, 0, 0))\n",
      "[135.67665536420373, 553.1846194685721, 784.3587129994473]\n",
      "1\n",
      "100.0\n",
      "[135.67665536420373, 553.1846194685721, 784.3587129994473]\n",
      "((-7, 0, 1, 0, 1), (-6, 0, 1, 1, 0), (-3, 0, 1, 0, 0))\n",
      "((-7, 0, 1, 0, 1), (-6, 0, 1, 1, 0), (-3, 0, 1, 0, 0))\n",
      "[135.67665536420373, 553.1846194685721, 784.3587129994473]\n",
      "0\n",
      "-700.0\n",
      "[135.67665536420373, 553.1846194685721, 784.3587129994473]\n",
      "((-7, 0, 1, 0, 1), (-6, 0, 1, 1, 0), (-3, 0, 1, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0), (-3, 0, 1, 0, 0))\n",
      "[284.3587129994469, 1253.1846194685722, 1484.3587129994473]\n",
      "1\n",
      "600.0\n",
      "[284.3587129994469, 1253.1846194685722, 1484.3587129994473]\n",
      "((-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0), (-3, 0, 1, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-3, 0, 1, 0, 0))\n",
      "[-315.6412870005531, 386.3137138648349, 884.3587129994473]\n",
      "1\n",
      "-100.0\n",
      "[-315.6412870005531, 386.3137138648349, 884.3587129994473]\n",
      "((-4, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-3, 0, 1, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-7, 0, 1, 0, 1), (-3, 0, 1, 0, 0))\n",
      "[-215.64128700055312, 335.6766553642042, 984.3587129994473]\n",
      "1\n",
      "100.0\n",
      "[-215.64128700055312, 335.6766553642042, 984.3587129994473]\n",
      "((-4, 0, 1, 0, 0), (-7, 0, 1, 0, 1), (-3, 0, 1, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-1, 0, 0, 0, 0), (-3, 0, 1, 0, 0))\n",
      "[-315.6412870005531, 498.0449991346127, 884.3587129994473]\n",
      "1\n",
      "-100.0\n",
      "[-315.6412870005531, 498.0449991346127, 884.3587129994473]\n",
      "((-4, 0, 1, 0, 0), (-1, 0, 0, 0, 0), (-3, 0, 1, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-1, 0, 0, 0, 0), (-3, 0, 1, 0, 0))\n",
      "[-315.6412870005531, 498.0449991346127, 884.3587129994473]\n",
      "0\n",
      "None\n",
      "[-315.6412870005531, 498.0449991346127, 884.3587129994473]\n",
      "((-4, 0, 1, 0, 0), (-1, 0, 0, 0, 0), (-3, 0, 1, 0, 0))\n",
      "((-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0), (-3, 0, 1, 0, 0))\n",
      "[-150.63705850063116, 498.0449991346127, 884.3587129994473]\n",
      "1\n",
      "-200.0\n",
      "[-150.63705850063116, 498.0449991346127, 884.3587129994473]\n",
      "((-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0), (-3, 0, 1, 0, 0))\n",
      "((-5, 0, 0, 0, 1), (-5, 1, 1, 0, 0), (-3, 0, 1, 0, 0))\n",
      "[49.362941499368844, 586.3137138648349, 1084.3587129994473]\n",
      "0\n",
      "None\n",
      "[49.362941499368844, 586.3137138648349, 1084.3587129994473]\n",
      "((-5, 0, 0, 0, 1), (-5, 1, 1, 0, 0), (-3, 0, 1, 0, 0))\n",
      "((-3, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-3, 0, 1, 0, 0))\n",
      "[199.99999999999977, 586.3137138648349, 1084.3587129994473]\n",
      "2\n",
      "None\n",
      "[199.99999999999977, 586.3137138648349, 1084.3587129994473]\n",
      "((-3, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-3, 0, 1, 0, 0))\n",
      "((-3, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-5, 1, 0, 1, 0))\n",
      "[199.99999999999977, 586.3137138648349, 1168.825906469125]\n",
      "1\n",
      "-100.0\n",
      "[199.99999999999977, 586.3137138648349, 1168.825906469125]\n",
      "((-3, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-5, 1, 0, 1, 0))\n",
      "((-3, 1, 0, 0, 0), (-4, 0, 0, 1, 0), (-5, 1, 0, 1, 0))\n",
      "[299.9999999999998, 566.8709056037376, 1268.825906469125]\n",
      "0\n",
      "None\n",
      "[299.9999999999998, 566.8709056037376, 1268.825906469125]\n",
      "((-3, 1, 0, 0, 0), (-4, 0, 0, 1, 0), (-5, 1, 0, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0), (-5, 1, 0, 1, 0))\n",
      "[68.82590646912445, 566.8709056037376, 1268.825906469125]\n",
      "1\n",
      "-200.0\n",
      "[68.82590646912445, 566.8709056037376, 1268.825906469125]\n",
      "((-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0), (-5, 1, 0, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "[268.82590646912445, 500.0000000000002, 1468.825906469125]\n",
      "2\n",
      "None\n",
      "[268.82590646912445, 500.0000000000002, 1468.825906469125]\n",
      "((-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0), (-2, 1, 0, 0, 0))\n",
      "[268.82590646912445, 500.0000000000002, 1700.0]\n",
      "0\n",
      "100.0\n",
      "[268.82590646912445, 500.0000000000002, 1700.0]\n",
      "((-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0), (-2, 1, 0, 0, 0))\n",
      "((-7, 1, 0, 0, 1), (-3, 1, 0, 0, 0), (-2, 1, 0, 0, 0))\n",
      "[-248.68205763524384, 400.0000000000002, 1600.0]\n",
      "2\n",
      "None\n",
      "[-248.68205763524384, 400.0000000000002, 1600.0]\n",
      "((-7, 1, 0, 0, 1), (-3, 1, 0, 0, 0), (-2, 1, 0, 0, 0))\n",
      "((-7, 1, 0, 0, 1), (-3, 1, 0, 0, 0), (-4, 0, 0, 0, 1))\n",
      "[-248.68205763524384, 400.0000000000002, 1449.3629414993693]\n",
      "2\n",
      "None\n",
      "[-248.68205763524384, 400.0000000000002, 1449.3629414993693]\n",
      "((-7, 1, 0, 0, 1), (-3, 1, 0, 0, 0), (-4, 0, 0, 0, 1))\n",
      "((-7, 1, 0, 0, 1), (-3, 1, 0, 0, 0), (-6, 1, 0, 0, 1))\n",
      "[-248.68205763524384, 400.0000000000002, 951.3179423647568]\n",
      "0\n",
      "-100.0\n",
      "[-248.68205763524384, 400.0000000000002, 951.3179423647568]\n",
      "((-7, 1, 0, 0, 1), (-3, 1, 0, 0, 0), (-6, 1, 0, 0, 1))\n",
      "((-2, 0, 0, 0, 0), (-3, 1, 0, 0, 0), (-6, 1, 0, 0, 1))\n",
      "[-201.95500086538777, 500.0000000000002, 1051.3179423647568]\n",
      "2\n",
      "1300.0\n",
      "[-201.95500086538777, 500.0000000000002, 1051.3179423647568]\n",
      "((-2, 0, 0, 0, 0), (-3, 1, 0, 0, 0), (-6, 1, 0, 0, 1))\n",
      "((-2, 0, 0, 0, 0), (-3, 1, 0, 0, 0), (-1, 0, 0, 0, 0))\n",
      "[-1501.9550008653878, -799.9999999999998, -301.9550008653873]\n",
      "2\n",
      "100.0\n",
      "[-1501.9550008653878, -799.9999999999998, -301.9550008653873]\n",
      "((-2, 0, 0, 0, 0), (-3, 1, 0, 0, 0), (-1, 0, 0, 0, 0))\n",
      "((-2, 0, 0, 0, 0), (-3, 1, 0, 0, 0), (-3, 0, 1, 0, 0))\n",
      "[-1601.9550008653878, -899.9999999999998, -15.641287000552552]\n",
      "2\n",
      "-100.0\n",
      "[-1601.9550008653878, -899.9999999999998, -15.641287000552552]\n",
      "((-2, 0, 0, 0, 0), (-3, 1, 0, 0, 0), (-3, 0, 1, 0, 0))\n",
      "((-2, 0, 0, 0, 0), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "[-1501.9550008653878, -799.9999999999998, 168.82590646912502]\n",
      "0\n",
      "-1500.0\n",
      "[-1501.9550008653878, -799.9999999999998, 168.82590646912502]\n",
      "((-2, 0, 0, 0, 0), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "((-7, 1, 0, 0, 1), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "[51.31794236475616, 700.0000000000002, 1668.8259064691251]\n",
      "2\n",
      "1400.0\n",
      "[51.31794236475616, 700.0000000000002, 1668.8259064691251]\n",
      "((-7, 1, 0, 0, 1), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "((-7, 1, 0, 0, 1), (-3, 1, 0, 0, 0), (-4, 0, 0, 0, 1))\n",
      "[-1348.6820576352438, -699.9999999999998, 349.3629414993693]\n",
      "0\n",
      "-1500.0\n",
      "[-1348.6820576352438, -699.9999999999998, 349.3629414993693]\n",
      "((-7, 1, 0, 0, 1), (-3, 1, 0, 0, 0), (-4, 0, 0, 0, 1))\n",
      "((-6, 1, 1, 0, 0), (-3, 1, 0, 0, 0), (-4, 0, 0, 0, 1))\n",
      "[-13.686286135166029, 800.0000000000002, 1849.3629414993693]\n",
      "1\n",
      "None\n",
      "[-13.686286135166029, 800.0000000000002, 1849.3629414993693]\n",
      "((-6, 1, 1, 0, 0), (-3, 1, 0, 0, 0), (-4, 0, 0, 0, 1))\n",
      "((-6, 1, 1, 0, 0), (-7, 0, 1, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[-13.686286135166029, 1035.6766553642042, 1849.3629414993693]\n",
      "2\n",
      "1600.0\n",
      "[-13.686286135166029, 1035.6766553642042, 1849.3629414993693]\n",
      "((-6, 1, 1, 0, 0), (-7, 0, 1, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-6, 1, 1, 0, 0), (-7, 0, 1, 0, 1), (-3, 0, 1, 0, 0))\n",
      "[-1613.686286135166, -564.3233446357958, 84.35871299944756]\n",
      "2\n",
      "-100.0\n",
      "[-1613.686286135166, -564.3233446357958, 84.35871299944756]\n",
      "((-6, 1, 1, 0, 0), (-7, 0, 1, 0, 1), (-3, 0, 1, 0, 0))\n",
      "((-6, 1, 1, 0, 0), (-7, 0, 1, 0, 1), (-2, 1, 0, 0, 0))\n",
      "[-1513.686286135166, -464.3233446357958, 500.0000000000002]\n",
      "1\n",
      "None\n",
      "[-1513.686286135166, -464.3233446357958, 500.0000000000002]\n",
      "((-6, 1, 1, 0, 0), (-7, 0, 1, 0, 1), (-2, 1, 0, 0, 0))\n",
      "((-6, 1, 1, 0, 0), (-5, 1, 1, 0, 0), (-2, 1, 0, 0, 0))\n",
      "[-1513.686286135166, -313.6862861351651, 500.0000000000002]\n",
      "2\n",
      "-200.0\n",
      "[-1513.686286135166, -313.6862861351651, 500.0000000000002]\n",
      "((-6, 1, 1, 0, 0), (-5, 1, 1, 0, 0), (-2, 1, 0, 0, 0))\n",
      "((-6, 1, 1, 0, 0), (-5, 1, 1, 0, 0), (-2, 0, 1, 0, 0))\n",
      "[-1313.686286135166, -113.68628613516512, 1584.3587129994476]\n",
      "2\n",
      "-100.0\n",
      "[-1313.686286135166, -113.68628613516512, 1584.3587129994476]\n",
      "((-6, 1, 1, 0, 0), (-5, 1, 1, 0, 0), (-2, 0, 1, 0, 0))\n",
      "((-6, 1, 1, 0, 0), (-5, 1, 1, 0, 0), (-1, 1, 0, 0, 0))\n",
      "[-1213.686286135166, -13.686286135165119, 2000.0000000000002]\n",
      "1\n",
      "None\n",
      "[-1213.686286135166, -13.686286135165119, 2000.0000000000002]\n",
      "((-6, 1, 1, 0, 0), (-5, 1, 1, 0, 0), (-1, 1, 0, 0, 0))\n",
      "((-6, 1, 1, 0, 0), (-1, 0, 0, 0, 0), (-1, 1, 0, 0, 0))\n",
      "[-1213.686286135166, 98.04499913461268, 2000.0000000000002]\n",
      "0\n",
      "-1400.0\n",
      "[-1213.686286135166, 98.04499913461268, 2000.0000000000002]\n",
      "((-6, 1, 1, 0, 0), (-1, 0, 0, 0, 0), (-1, 1, 0, 0, 0))\n",
      "((-5, 0, 0, 1, 0), (-1, 0, 0, 0, 0), (-1, 1, 0, 0, 0))\n",
      "[66.8709056037369, 1498.0449991346127, 3400.0]\n",
      "2\n",
      "1200.0\n",
      "[66.8709056037369, 1498.0449991346127, 3400.0]\n",
      "((-5, 0, 0, 1, 0), (-1, 0, 0, 0, 0), (-1, 1, 0, 0, 0))\n",
      "((-5, 0, 0, 1, 0), (-1, 0, 0, 0, 0), (0, 0, 0, 0, 0))\n",
      "[-1133.129094396263, 298.0449991346127, 1498.0449991346127]\n",
      "1\n",
      "-200.0\n",
      "[-1133.129094396263, 298.0449991346127, 1498.0449991346127]\n",
      "((-5, 0, 0, 1, 0), (-1, 0, 0, 0, 0), (0, 0, 0, 0, 0))\n",
      "((-5, 0, 0, 1, 0), (-3, 1, 0, 0, 0), (0, 0, 0, 0, 0))\n",
      "[-933.1290943962631, 2.2737367544323206e-13, 1698.0449991346127]\n",
      "1\n",
      "100.0\n",
      "[-933.1290943962631, 2.2737367544323206e-13, 1698.0449991346127]\n",
      "((-5, 0, 0, 1, 0), (-3, 1, 0, 0, 0), (0, 0, 0, 0, 0))\n",
      "((-5, 0, 0, 1, 0), (-5, 0, 0, 0, 1), (0, 0, 0, 0, 0))\n",
      "[-1033.129094396263, -250.6370585006307, 1598.0449991346127]\n",
      "2\n",
      "None\n",
      "[-1033.129094396263, -250.6370585006307, 1598.0449991346127]\n",
      "((-5, 0, 0, 1, 0), (-5, 0, 0, 0, 1), (0, 0, 0, 0, 0))\n",
      "((-5, 0, 0, 1, 0), (-5, 0, 0, 0, 1), (-5, 1, 0, 0, 1))\n",
      "[-1033.129094396263, -250.6370585006307, 1651.3179423647568]\n",
      "0\n",
      "None\n",
      "[-1033.129094396263, -250.6370585006307, 1651.3179423647568]\n",
      "((-5, 0, 0, 1, 0), (-5, 0, 0, 0, 1), (-5, 1, 0, 0, 1))\n",
      "((-8, 0, 1, 0, 1), (-5, 0, 0, 0, 1), (-5, 1, 0, 0, 1))\n",
      "[-1064.3233446357963, -250.6370585006307, 1651.3179423647568]\n",
      "2\n",
      "None\n",
      "[-1064.3233446357963, -250.6370585006307, 1651.3179423647568]\n",
      "((-8, 0, 1, 0, 1), (-5, 0, 0, 0, 1), (-5, 1, 0, 0, 1))\n",
      "((-8, 0, 1, 0, 1), (-5, 0, 0, 0, 1), (-6, 0, 0, 1, 1))\n",
      "[-1064.3233446357963, -250.6370585006307, 1918.1888479684944]\n",
      "0\n",
      "None\n",
      "[-1064.3233446357963, -250.6370585006307, 1918.1888479684944]\n",
      "((-8, 0, 1, 0, 1), (-5, 0, 0, 0, 1), (-6, 0, 0, 1, 1))\n",
      "((-2, 0, 0, 0, 0), (-5, 0, 0, 0, 1), (-6, 0, 0, 1, 1))\n",
      "[-801.9550008653878, -250.6370585006307, 1918.1888479684944]\n",
      "2\n",
      "600.0\n",
      "[-801.9550008653878, -250.6370585006307, 1918.1888479684944]\n",
      "((-2, 0, 0, 0, 0), (-5, 0, 0, 0, 1), (-6, 0, 0, 1, 1))\n",
      "((-2, 0, 0, 0, 0), (-5, 0, 0, 0, 1), (-7, 0, 0, 1, 1))\n",
      "[-1401.9550008653878, -850.6370585006307, 118.18884796849443]\n",
      "0\n",
      "None\n",
      "[-1401.9550008653878, -850.6370585006307, 118.18884796849443]\n",
      "((-2, 0, 0, 0, 0), (-5, 0, 0, 0, 1), (-7, 0, 0, 1, 1))\n",
      "((-7, 1, 0, 0, 1), (-5, 0, 0, 0, 1), (-7, 0, 0, 1, 1))\n",
      "[-1348.6820576352438, -850.6370585006307, 118.18884796849443]\n",
      "2\n",
      "100.0\n",
      "[-1348.6820576352438, -850.6370585006307, 118.18884796849443]\n",
      "((-7, 1, 0, 0, 1), (-5, 0, 0, 0, 1), (-7, 0, 0, 1, 1))\n",
      "((-7, 1, 0, 0, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[-1448.6820576352438, -950.6370585006307, 249.3629414993694]\n",
      "0\n",
      "-1300.0\n",
      "[-1448.6820576352438, -950.6370585006307, 249.3629414993694]\n",
      "((-7, 1, 0, 0, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[118.18884796849352, 349.3629414993693, 1549.3629414993693]\n",
      "0\n",
      "100.0\n",
      "[118.18884796849352, 349.3629414993693, 1549.3629414993693]\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-8, 0, 1, 0, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[-564.3233446357963, 249.3629414993693, 1449.3629414993693]\n",
      "0\n",
      "None\n",
      "[-564.3233446357963, 249.3629414993693, 1449.3629414993693]\n",
      "((-8, 0, 1, 0, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-2, 0, 0, 0, 0), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[-301.9550008653878, 249.3629414993693, 1449.3629414993693]\n",
      "0\n",
      "None\n",
      "[-301.9550008653878, 249.3629414993693, 1449.3629414993693]\n",
      "((-2, 0, 0, 0, 0), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-9, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[-1181.8111520315065, 249.3629414993693, 1449.3629414993693]\n",
      "0\n",
      "200.0\n",
      "[-1181.8111520315065, 249.3629414993693, 1449.3629414993693]\n",
      "((-9, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-7, 1, 0, 0, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[-448.68205763524384, 49.3629414993693, 1249.3629414993693]\n",
      "1\n",
      "None\n",
      "[-448.68205763524384, 49.3629414993693, 1249.3629414993693]\n",
      "((-7, 1, 0, 0, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-7, 1, 0, 0, 1), (-3, 1, 0, 0, 0), (-4, 0, 0, 0, 1))\n",
      "[-448.68205763524384, 200.00000000000023, 1249.3629414993693]\n",
      "0\n",
      "200.0\n",
      "[-448.68205763524384, 200.00000000000023, 1249.3629414993693]\n",
      "((-7, 1, 0, 0, 1), (-3, 1, 0, 0, 0), (-4, 0, 0, 0, 1))\n",
      "((-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0), (-4, 0, 0, 0, 1))\n",
      "[-231.17409353087555, 2.2737367544323206e-13, 1049.3629414993693]\n",
      "1\n",
      "None\n",
      "[-231.17409353087555, 2.2737367544323206e-13, 1049.3629414993693]\n",
      "((-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0), (-4, 0, 0, 0, 1))\n",
      "((-6, 1, 0, 1, 0), (-7, 0, 1, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[-231.17409353087555, 235.67665536420418, 1049.3629414993693]\n",
      "0\n",
      "100.0\n",
      "[-231.17409353087555, 235.67665536420418, 1049.3629414993693]\n",
      "((-6, 1, 0, 1, 0), (-7, 0, 1, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-5, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[-250.63705850063116, 135.67665536420418, 949.3629414993693]\n",
      "1\n",
      "None\n",
      "[-250.63705850063116, 135.67665536420418, 949.3629414993693]\n",
      "((-5, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0), (-4, 0, 0, 0, 1))\n",
      "[-250.63705850063116, 398.0449991346127, 949.3629414993693]\n",
      "1\n",
      "None\n",
      "[-250.63705850063116, 398.0449991346127, 949.3629414993693]\n",
      "((-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0), (-4, 0, 0, 0, 1))\n",
      "((-5, 0, 0, 0, 1), (-6, 1, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[-250.63705850063116, 451.31794236475685, 949.3629414993693]\n",
      "1\n",
      "200.0\n",
      "[-250.63705850063116, 451.31794236475685, 949.3629414993693]\n",
      "((-5, 0, 0, 0, 1), (-6, 1, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-5, 0, 0, 0, 1), (-7, 0, 0, 1, 1), (-4, 0, 0, 0, 1))\n",
      "[-450.63705850063116, 518.1888479684943, 749.3629414993693]\n",
      "1\n",
      "200.0\n",
      "[-450.63705850063116, 518.1888479684943, 749.3629414993693]\n",
      "((-5, 0, 0, 0, 1), (-7, 0, 0, 1, 1), (-4, 0, 0, 0, 1))\n",
      "((-5, 0, 0, 0, 1), (-7, 0, 0, 1, 1), (-4, 0, 0, 0, 1))\n",
      "[-450.63705850063116, 518.1888479684943, 749.3629414993693]\n",
      "1\n",
      "100.0\n",
      "[-450.63705850063116, 518.1888479684943, 749.3629414993693]\n",
      "((-5, 0, 0, 0, 1), (-7, 0, 0, 1, 1), (-4, 0, 0, 0, 1))\n",
      "((-5, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[-550.6370585006312, -164.32334463579582, 649.3629414993693]\n",
      "2\n",
      "None\n",
      "[-550.6370585006312, -164.32334463579582, 649.3629414993693]\n",
      "((-5, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-5, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-3, 0, 1, 0, 0))\n",
      "[-550.6370585006312, -164.32334463579582, 484.35871299944745]\n",
      "2\n",
      "None\n",
      "[-550.6370585006312, -164.32334463579582, 484.35871299944745]\n",
      "((-5, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-3, 0, 1, 0, 0))\n",
      "((-5, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-7, 0, 0, 1, 1))\n",
      "[-550.6370585006312, -164.32334463579582, 418.1888479684943]\n",
      "2\n",
      "None\n",
      "[-550.6370585006312, -164.32334463579582, 418.1888479684943]\n",
      "((-5, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-7, 0, 0, 1, 1))\n",
      "((-5, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-6, 1, 0, 0, 1))\n",
      "[-550.6370585006312, -164.32334463579582, 151.31794236475685]\n",
      "0\n",
      "None\n",
      "[-550.6370585006312, -164.32334463579582, 151.31794236475685]\n",
      "((-5, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-6, 1, 0, 0, 1))\n",
      "((-4, 0, 1, 0, 0), (-7, 0, 1, 0, 1), (-6, 1, 0, 0, 1))\n",
      "[-715.6412870005531, -164.32334463579582, 151.31794236475685]\n",
      "2\n",
      "None\n",
      "[-715.6412870005531, -164.32334463579582, 151.31794236475685]\n",
      "((-4, 0, 1, 0, 0), (-7, 0, 1, 0, 1), (-6, 1, 0, 0, 1))\n",
      "((-4, 0, 1, 0, 0), (-7, 0, 1, 0, 1), (-1, 0, 0, 0, 0))\n",
      "[-715.6412870005531, -164.32334463579582, 98.04499913461268]\n",
      "0\n",
      "None\n",
      "[-715.6412870005531, -164.32334463579582, 98.04499913461268]\n",
      "((-4, 0, 1, 0, 0), (-7, 0, 1, 0, 1), (-1, 0, 0, 0, 0))\n",
      "((-3, 1, 0, 0, 0), (-7, 0, 1, 0, 1), (-1, 0, 0, 0, 0))\n",
      "[-400.0000000000002, -164.32334463579582, 98.04499913461268]\n",
      "2\n",
      "400.0\n",
      "[-400.0000000000002, -164.32334463579582, 98.04499913461268]\n",
      "((-3, 1, 0, 0, 0), (-7, 0, 1, 0, 1), (-1, 0, 0, 0, 0))\n",
      "((-3, 1, 0, 0, 0), (-7, 0, 1, 0, 1), (-3, 0, 1, 0, 0))\n",
      "[-800.0000000000002, -564.3233446357958, 84.35871299944745]\n",
      "0\n",
      "-1300.0\n",
      "[-800.0000000000002, -564.3233446357958, 84.35871299944745]\n",
      "((-3, 1, 0, 0, 0), (-7, 0, 1, 0, 1), (-3, 0, 1, 0, 0))\n",
      "((-5, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-3, 0, 1, 0, 0))\n",
      "[349.36294149936884, 735.6766553642042, 1384.3587129994476]\n",
      "2\n",
      "1500.0\n",
      "[349.36294149936884, 735.6766553642042, 1384.3587129994476]\n",
      "((-5, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-3, 0, 1, 0, 0))\n",
      "((-5, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[-1150.6370585006312, -764.3233446357958, 49.3629414993693]\n",
      "2\n",
      "100.0\n",
      "[-1150.6370585006312, -764.3233446357958, 49.3629414993693]\n",
      "((-5, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-5, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-7, 0, 0, 1, 1))\n",
      "[-1250.6370585006312, -864.3233446357958, -281.8111520315057]\n",
      "1\n",
      "-1100.0\n",
      "[-1250.6370585006312, -864.3233446357958, -281.8111520315057]\n",
      "((-5, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-7, 0, 0, 1, 1))\n",
      "((-5, 0, 0, 0, 1), (-4, 0, 0, 1, 0), (-7, 0, 0, 1, 1))\n",
      "[-150.63705850063116, 266.8709056037376, 818.1888479684943]\n",
      "2\n",
      "None\n",
      "[-150.63705850063116, 266.8709056037376, 818.1888479684943]\n",
      "((-5, 0, 0, 0, 1), (-4, 0, 0, 1, 0), (-7, 0, 0, 1, 1))\n",
      "((-5, 0, 0, 0, 1), (-4, 0, 0, 1, 0), (-5, 1, 0, 1, 0))\n",
      "[-150.63705850063116, 266.8709056037376, 968.825906469125]\n",
      "2\n",
      "None\n",
      "[-150.63705850063116, 266.8709056037376, 968.825906469125]\n",
      "((-5, 0, 0, 0, 1), (-4, 0, 0, 1, 0), (-5, 1, 0, 1, 0))\n",
      "((-5, 0, 0, 0, 1), (-4, 0, 0, 1, 0), (-6, 0, 1, 1, 0))\n",
      "[-150.63705850063116, 266.8709056037376, 653.1846194685722]\n",
      "1\n",
      "400.0\n",
      "[-150.63705850063116, 266.8709056037376, 653.1846194685722]\n",
      "((-5, 0, 0, 0, 1), (-4, 0, 0, 1, 0), (-6, 0, 1, 1, 0))\n",
      "((-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0), (-6, 0, 1, 1, 0))\n",
      "[-550.6370585006312, 98.04499913461268, 253.18461946857224]\n",
      "2\n",
      "None\n",
      "[-550.6370585006312, 98.04499913461268, 253.18461946857224]\n",
      "((-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0), (-6, 0, 1, 1, 0))\n",
      "((-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0), (-6, 1, 0, 0, 1))\n",
      "[-550.6370585006312, 98.04499913461268, 151.31794236475685]\n",
      "1\n",
      "-200.0\n",
      "[-550.6370585006312, 98.04499913461268, 151.31794236475685]\n",
      "((-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0), (-6, 1, 0, 0, 1))\n",
      "((-5, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-6, 1, 0, 0, 1))\n",
      "[-350.63705850063116, 35.67665536420418, 351.31794236475685]\n",
      "1\n",
      "-100.0\n",
      "[-350.63705850063116, 35.67665536420418, 351.31794236475685]\n",
      "((-5, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-6, 1, 0, 0, 1))\n",
      "((-5, 0, 0, 0, 1), (-3, 1, 0, 0, 0), (-6, 1, 0, 0, 1))\n",
      "[-250.63705850063116, -99.99999999999977, 451.31794236475685]\n",
      "1\n",
      "-300.0\n",
      "[-250.63705850063116, -99.99999999999977, 451.31794236475685]\n",
      "((-5, 0, 0, 0, 1), (-3, 1, 0, 0, 0), (-6, 1, 0, 0, 1))\n",
      "((-5, 0, 0, 0, 1), (-3, 1, 0, 0, 0), (-6, 1, 0, 0, 1))\n",
      "[-250.63705850063116, -99.99999999999977, 451.31794236475685]\n",
      "2\n",
      "900.0\n",
      "[-250.63705850063116, -99.99999999999977, 451.31794236475685]\n",
      "((-5, 0, 0, 0, 1), (-3, 1, 0, 0, 0), (-6, 1, 0, 0, 1))\n",
      "((-5, 0, 0, 0, 1), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "[-1150.6370585006312, -999.9999999999998, -31.174093530874984]\n",
      "0\n",
      "None\n",
      "[-1150.6370585006312, -999.9999999999998, -31.174093530874984]\n",
      "((-5, 0, 0, 0, 1), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "[-1231.1740935308756, -999.9999999999998, -31.174093530874984]\n",
      "0\n",
      "None\n",
      "[-1231.1740935308756, -999.9999999999998, -31.174093530874984]\n",
      "((-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "((-7, 1, 0, 0, 1), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "[-1648.6820576352438, -999.9999999999998, -31.174093530874984]\n",
      "0\n",
      "-800.0\n",
      "[-1648.6820576352438, -999.9999999999998, -31.174093530874984]\n",
      "((-7, 1, 0, 0, 1), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "((-2, 0, 0, 0, 0), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "[-901.9550008653878, -199.99999999999977, 768.825906469125]\n",
      "0\n",
      "-200.0\n",
      "[-901.9550008653878, -199.99999999999977, 768.825906469125]\n",
      "((-2, 0, 0, 0, 0), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "((-6, 1, 1, 0, 0), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "[-813.686286135166, 2.2737367544323206e-13, 968.825906469125]\n",
      "0\n",
      "-100.0\n",
      "[-813.686286135166, 2.2737367544323206e-13, 968.825906469125]\n",
      "((-6, 1, 1, 0, 0), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "((-5, 0, 0, 1, 0), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "[-833.1290943962631, 100.00000000000023, 1068.8259064691251]\n",
      "0\n",
      "-300.0\n",
      "[-833.1290943962631, 100.00000000000023, 1068.8259064691251]\n",
      "((-5, 0, 0, 1, 0), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "[168.82590646912445, 400.0000000000002, 1368.8259064691251]\n",
      "2\n",
      "None\n",
      "[168.82590646912445, 400.0000000000002, 1368.8259064691251]\n",
      "((-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0), (-2, 1, 0, 0, 0))\n",
      "[168.82590646912445, 400.0000000000002, 1600.0000000000002]\n",
      "2\n",
      "None\n",
      "[168.82590646912445, 400.0000000000002, 1600.0000000000002]\n",
      "((-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0), (-2, 1, 0, 0, 0))\n",
      "((-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0), (-3, 0, 0, 1, 0))\n",
      "[168.82590646912445, 400.0000000000002, 1866.8709056037378]\n",
      "2\n",
      "1800.0\n",
      "[168.82590646912445, 400.0000000000002, 1866.8709056037378]\n",
      "((-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0), (-3, 0, 0, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0), (-4, 1, 1, 0, 0))\n",
      "[-1631.1740935308756, -1399.9999999999998, 186.3137138648351]\n",
      "2\n",
      "-200.0\n",
      "[-1631.1740935308756, -1399.9999999999998, 186.3137138648351]\n",
      "((-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0), (-4, 1, 1, 0, 0))\n",
      "((-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0), (0, 0, 0, 0, 0))\n",
      "[-1431.1740935308756, -1199.9999999999998, 498.0449991346129]\n",
      "2\n",
      "-100.0\n",
      "[-1431.1740935308756, -1199.9999999999998, 498.0449991346129]\n",
      "((-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0), (0, 0, 0, 0, 0))\n",
      "((-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0), (-5, 1, 0, 0, 1))\n",
      "[-1331.1740935308756, -1099.9999999999998, 651.3179423647571]\n",
      "2\n",
      "-300.0\n",
      "[-1331.1740935308756, -1099.9999999999998, 651.3179423647571]\n",
      "((-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0), (-5, 1, 0, 0, 1))\n",
      "((-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "[-1031.1740935308756, -799.9999999999998, 168.82590646912524]\n",
      "0\n",
      "None\n",
      "[-1031.1740935308756, -799.9999999999998, 168.82590646912524]\n",
      "((-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "((-7, 1, 0, 0, 1), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "[-1448.6820576352438, -799.9999999999998, 168.82590646912524]\n",
      "2\n",
      "None\n",
      "[-1448.6820576352438, -799.9999999999998, 168.82590646912524]\n",
      "((-7, 1, 0, 0, 1), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "((-7, 1, 0, 0, 1), (-3, 1, 0, 0, 0), (-4, 0, 0, 0, 1))\n",
      "[-1448.6820576352438, -799.9999999999998, 249.36294149936953]\n",
      "1\n",
      "None\n",
      "[-1448.6820576352438, -799.9999999999998, 249.36294149936953]\n",
      "((-7, 1, 0, 0, 1), (-3, 1, 0, 0, 0), (-4, 0, 0, 0, 1))\n",
      "((-7, 1, 0, 0, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[-1448.6820576352438, -950.6370585006307, 249.36294149936953]\n",
      "0\n",
      "None\n",
      "[-1448.6820576352438, -950.6370585006307, 249.36294149936953]\n",
      "((-7, 1, 0, 0, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-2, 0, 0, 0, 0), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[-1501.9550008653878, -950.6370585006307, 249.36294149936953]\n",
      "2\n",
      "None\n",
      "[-1501.9550008653878, -950.6370585006307, 249.36294149936953]\n",
      "((-2, 0, 0, 0, 0), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-2, 0, 0, 0, 0), (-5, 0, 0, 0, 1), (-2, 1, 0, 0, 0))\n",
      "[-1501.9550008653878, -950.6370585006307, 400.00000000000034]\n",
      "1\n",
      "None\n",
      "[-1501.9550008653878, -950.6370585006307, 400.00000000000034]\n",
      "((-2, 0, 0, 0, 0), (-5, 0, 0, 0, 1), (-2, 1, 0, 0, 0))\n",
      "((-2, 0, 0, 0, 0), (-6, 1, 0, 1, 0), (-2, 1, 0, 0, 0))\n",
      "[-1501.9550008653878, -1031.174093530875, 400.00000000000034]\n",
      "0\n",
      "None\n",
      "[-1501.9550008653878, -1031.174093530875, 400.00000000000034]\n",
      "((-2, 0, 0, 0, 0), (-6, 1, 0, 1, 0), (-2, 1, 0, 0, 0))\n",
      "((-6, 1, 1, 0, 0), (-6, 1, 0, 1, 0), (-2, 1, 0, 0, 0))\n",
      "[-1613.686286135166, -1031.174093530875, 400.00000000000034]\n",
      "2\n",
      "None\n",
      "[-1613.686286135166, -1031.174093530875, 400.00000000000034]\n",
      "((-6, 1, 1, 0, 0), (-6, 1, 0, 1, 0), (-2, 1, 0, 0, 0))\n",
      "((-6, 1, 1, 0, 0), (-6, 1, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "[-1613.686286135166, -1031.174093530875, 666.8709056037378]\n",
      "0\n",
      "-1000.0\n",
      "[-1613.686286135166, -1031.174093530875, 666.8709056037378]\n",
      "((-6, 1, 1, 0, 0), (-6, 1, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "((-8, 0, 0, 1, 1), (-6, 1, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "[-181.81115203150648, -31.174093530875098, 1666.8709056037378]\n",
      "1\n",
      "500.0\n",
      "[-181.81115203150648, -31.174093530875098, 1666.8709056037378]\n",
      "((-8, 0, 0, 1, 1), (-6, 1, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "((-8, 0, 0, 1, 1), (-4, 0, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "[-681.8111520315065, -33.12909439626242, 1166.8709056037378]\n",
      "2\n",
      "None\n",
      "[-681.8111520315065, -33.12909439626242, 1166.8709056037378]\n",
      "((-8, 0, 0, 1, 1), (-4, 0, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "((-8, 0, 0, 1, 1), (-4, 0, 0, 1, 0), (0, 0, 0, 0, 0))\n",
      "[-681.8111520315065, -33.12909439626242, 1398.044999134613]\n",
      "2\n",
      "700.0\n",
      "[-681.8111520315065, -33.12909439626242, 1398.044999134613]\n",
      "((-8, 0, 0, 1, 1), (-4, 0, 0, 1, 0), (0, 0, 0, 0, 0))\n",
      "((-8, 0, 0, 1, 1), (-4, 0, 0, 1, 0), (-5, 1, 0, 1, 0))\n",
      "[-1381.8111520315065, -733.1290943962624, -31.174093530874757]\n",
      "0\n",
      "None\n",
      "[-1381.8111520315065, -733.1290943962624, -31.174093530874757]\n",
      "((-8, 0, 0, 1, 1), (-4, 0, 0, 1, 0), (-5, 1, 0, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0), (-5, 1, 0, 1, 0))\n",
      "[-1231.1740935308756, -733.1290943962624, -31.174093530874757]\n",
      "1\n",
      "None\n",
      "[-1231.1740935308756, -733.1290943962624, -31.174093530874757]\n",
      "((-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0), (-5, 1, 0, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "[-1231.1740935308756, -999.9999999999998, -31.174093530874757]\n",
      "0\n",
      "None\n",
      "[-1231.1740935308756, -999.9999999999998, -31.174093530874757]\n",
      "((-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "((-7, 1, 0, 0, 1), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "[-1648.6820576352438, -999.9999999999998, -31.174093530874757]\n",
      "1\n",
      "None\n",
      "[-1648.6820576352438, -999.9999999999998, -31.174093530874757]\n",
      "((-7, 1, 0, 0, 1), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "((-7, 1, 0, 0, 1), (-5, 0, 0, 0, 1), (-5, 1, 0, 1, 0))\n",
      "[-1648.6820576352438, -1150.6370585006307, -31.174093530874757]\n",
      "2\n",
      "None\n",
      "[-1648.6820576352438, -1150.6370585006307, -31.174093530874757]\n",
      "((-7, 1, 0, 0, 1), (-5, 0, 0, 0, 1), (-5, 1, 0, 1, 0))\n",
      "((-7, 1, 0, 0, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[-1648.6820576352438, -1150.6370585006307, 49.362941499369526]\n",
      "0\n",
      "None\n",
      "[-1648.6820576352438, -1150.6370585006307, 49.362941499369526]\n",
      "((-7, 1, 0, 0, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-2, 0, 0, 0, 0), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[-1701.9550008653878, -1150.6370585006307, 49.362941499369526]\n",
      "1\n",
      "None\n",
      "[-1701.9550008653878, -1150.6370585006307, 49.362941499369526]\n",
      "((-2, 0, 0, 0, 0), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-2, 0, 0, 0, 0), (-4, 0, 1, 0, 0), (-4, 0, 0, 0, 1))\n",
      "[-1701.9550008653878, -1315.6412870005527, 49.362941499369526]\n",
      "0\n",
      "-1400.0\n",
      "[-1701.9550008653878, -1315.6412870005527, 49.362941499369526]\n",
      "((-2, 0, 0, 0, 0), (-4, 0, 1, 0, 0), (-4, 0, 0, 0, 1))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-4, 0, 0, 0, 1))\n",
      "[-146.81538053142776, 84.35871299944733, 1449.3629414993695]\n",
      "1\n",
      "500.0\n",
      "[-146.81538053142776, 84.35871299944733, 1449.3629414993695]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-4, 0, 0, 0, 1))\n",
      "((-7, 0, 1, 1, 0), (-8, 0, 0, 1, 1), (-4, 0, 0, 0, 1))\n",
      "[-646.8153805314278, -481.811152031506, 949.3629414993695]\n",
      "2\n",
      "None\n",
      "[-646.8153805314278, -481.811152031506, 949.3629414993695]\n",
      "((-7, 0, 1, 1, 0), (-8, 0, 0, 1, 1), (-4, 0, 0, 0, 1))\n",
      "((-7, 0, 1, 1, 0), (-8, 0, 0, 1, 1), (-3, 0, 1, 0, 0))\n",
      "[-646.8153805314278, -481.811152031506, 784.3587129994477]\n",
      "2\n",
      "700.0\n",
      "[-646.8153805314278, -481.811152031506, 784.3587129994477]\n",
      "((-7, 0, 1, 1, 0), (-8, 0, 0, 1, 1), (-3, 0, 1, 0, 0))\n",
      "((-7, 0, 1, 1, 0), (-8, 0, 0, 1, 1), (-4, 0, 0, 1, 0))\n",
      "[-1346.8153805314278, -1181.811152031506, -533.1290943962622]\n",
      "1\n",
      "None\n",
      "[-1346.8153805314278, -1181.811152031506, -533.1290943962622]\n",
      "((-7, 0, 1, 1, 0), (-8, 0, 0, 1, 1), (-4, 0, 0, 1, 0))\n",
      "((-7, 0, 1, 1, 0), (-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0))\n",
      "[-1346.8153805314278, -1031.174093530875, -533.1290943962622]\n",
      "1\n",
      "None\n",
      "[-1346.8153805314278, -1031.174093530875, -533.1290943962622]\n",
      "((-7, 0, 1, 1, 0), (-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0))\n",
      "[-1346.8153805314278, -1115.6412870005527, -533.1290943962622]\n",
      "1\n",
      "-900.0\n",
      "[-1346.8153805314278, -1115.6412870005527, -533.1290943962622]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0))\n",
      "[-1346.8153805314278, -1115.6412870005527, -533.1290943962622]\n",
      "1\n",
      "-100.0\n",
      "[-1346.8153805314278, -1115.6412870005527, -533.1290943962622]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0))\n",
      "[-1346.8153805314278, -1115.6412870005527, -533.1290943962622]\n",
      "0\n",
      "None\n",
      "[-1346.8153805314278, -1115.6412870005527, -533.1290943962622]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0))\n",
      "((-2, 0, 0, 0, 0), (-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0))\n",
      "[-1501.9550008653878, -1115.6412870005527, -533.1290943962622]\n",
      "0\n",
      "None\n",
      "[-1501.9550008653878, -1115.6412870005527, -533.1290943962622]\n",
      "((-2, 0, 0, 0, 0), (-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0))\n",
      "((-6, 1, 1, 0, 0), (-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0))\n",
      "[-1613.686286135166, -1115.6412870005527, -533.1290943962622]\n",
      "1\n",
      "None\n",
      "[-1613.686286135166, -1115.6412870005527, -533.1290943962622]\n",
      "((-6, 1, 1, 0, 0), (-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0))\n",
      "((-6, 1, 1, 0, 0), (-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0))\n",
      "[-1613.686286135166, -1031.174093530875, -533.1290943962622]\n",
      "0\n",
      "None\n",
      "[-1613.686286135166, -1031.174093530875, -533.1290943962622]\n",
      "((-6, 1, 1, 0, 0), (-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0))\n",
      "((-5, 0, 0, 1, 0), (-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0))\n",
      "[-1733.129094396263, -1031.174093530875, -533.1290943962622]\n",
      "0\n",
      "-400.0\n",
      "[-1733.129094396263, -1031.174093530875, -533.1290943962622]\n",
      "((-5, 0, 0, 1, 0), (-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0))\n",
      "((-7, 0, 1, 1, 0), (-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0))\n",
      "[-946.8153805314278, -631.1740935308751, -133.1290943962622]\n",
      "1\n",
      "None\n",
      "[-946.8153805314278, -631.1740935308751, -133.1290943962622]\n",
      "((-7, 0, 1, 1, 0), (-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0))\n",
      "((-7, 0, 1, 1, 0), (-8, 0, 0, 1, 1), (-4, 0, 0, 1, 0))\n",
      "[-946.8153805314278, -781.811152031506, -133.1290943962622]\n",
      "1\n",
      "None\n",
      "[-946.8153805314278, -781.811152031506, -133.1290943962622]\n",
      "((-7, 0, 1, 1, 0), (-8, 0, 0, 1, 1), (-4, 0, 0, 1, 0))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0))\n",
      "[-946.8153805314278, -715.6412870005527, -133.1290943962622]\n",
      "0\n",
      "-100.0\n",
      "[-946.8153805314278, -715.6412870005527, -133.1290943962622]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0))\n",
      "((-8, 0, 0, 1, 1), (-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0))\n",
      "[-681.8111520315065, -615.6412870005527, -33.12909439626219]\n",
      "1\n",
      "600.0\n",
      "[-681.8111520315065, -615.6412870005527, -33.12909439626219]\n",
      "((-8, 0, 0, 1, 1), (-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0))\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 1, 0))\n",
      "[-1281.8111520315065, -1050.6370585006307, -633.1290943962622]\n",
      "0\n",
      "None\n",
      "[-1281.8111520315065, -1050.6370585006307, -633.1290943962622]\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-5, 0, 0, 0, 1), (-4, 0, 0, 1, 0))\n",
      "[-1131.1740935308756, -1050.6370585006307, -633.1290943962622]\n",
      "0\n",
      "None\n",
      "[-1131.1740935308756, -1050.6370585006307, -633.1290943962622]\n",
      "((-6, 1, 0, 1, 0), (-5, 0, 0, 0, 1), (-4, 0, 0, 1, 0))\n",
      "((-7, 1, 0, 0, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 1, 0))\n",
      "[-1548.6820576352438, -1050.6370585006307, -633.1290943962622]\n",
      "0\n",
      "-500.0\n",
      "[-1548.6820576352438, -1050.6370585006307, -633.1290943962622]\n",
      "((-7, 1, 0, 0, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 1, 0))\n",
      "((-7, 0, 1, 1, 0), (-5, 0, 0, 0, 1), (-4, 0, 0, 1, 0))\n",
      "[-946.8153805314278, -550.6370585006307, -133.1290943962622]\n",
      "1\n",
      "700.0\n",
      "[-946.8153805314278, -550.6370585006307, -133.1290943962622]\n",
      "((-7, 0, 1, 1, 0), (-5, 0, 0, 0, 1), (-4, 0, 0, 1, 0))\n",
      "((-7, 0, 1, 1, 0), (-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0))\n",
      "[-1646.8153805314278, -1331.174093530875, -833.1290943962622]\n",
      "0\n",
      "-500.0\n",
      "[-1646.8153805314278, -1331.174093530875, -833.1290943962622]\n",
      "((-7, 0, 1, 1, 0), (-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0))\n",
      "((-8, 0, 0, 1, 1), (-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0))\n",
      "[-981.8111520315065, -831.1740935308751, -333.1290943962622]\n",
      "2\n",
      "None\n",
      "[-981.8111520315065, -831.1740935308751, -333.1290943962622]\n",
      "((-8, 0, 0, 1, 1), (-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0))\n",
      "((-8, 0, 0, 1, 1), (-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0))\n",
      "[-981.8111520315065, -831.1740935308751, -599.9999999999995]\n",
      "2\n",
      "None\n",
      "[-981.8111520315065, -831.1740935308751, -599.9999999999995]\n",
      "((-8, 0, 0, 1, 1), (-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0))\n",
      "((-8, 0, 0, 1, 1), (-6, 1, 0, 1, 0), (-5, 0, 0, 0, 1))\n",
      "[-981.8111520315065, -831.1740935308751, -750.6370585006305]\n",
      "2\n",
      "None\n",
      "[-981.8111520315065, -831.1740935308751, -750.6370585006305]\n",
      "((-8, 0, 0, 1, 1), (-6, 1, 0, 1, 0), (-5, 0, 0, 0, 1))\n",
      "((-8, 0, 0, 1, 1), (-6, 1, 0, 1, 0), (-5, 0, 0, 0, 1))\n",
      "[-981.8111520315065, -831.1740935308751, -750.6370585006305]\n",
      "2\n",
      "1000.0\n",
      "[-981.8111520315065, -831.1740935308751, -750.6370585006305]\n",
      "((-8, 0, 0, 1, 1), (-6, 1, 0, 1, 0), (-5, 0, 0, 0, 1))\n",
      "((-8, 0, 0, 1, 1), (-6, 1, 0, 1, 0), (-5, 0, 0, 0, 1))\n",
      "[-981.8111520315065, -831.1740935308751, -750.6370585006305]\n",
      "2\n",
      "-100.0\n",
      "[-981.8111520315065, -831.1740935308751, -750.6370585006305]\n",
      "((-8, 0, 0, 1, 1), (-6, 1, 0, 1, 0), (-5, 0, 0, 0, 1))\n",
      "((-8, 0, 0, 1, 1), (-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0))\n",
      "[-881.8111520315065, -731.1740935308751, -233.1290943962622]\n",
      "2\n",
      "100.0\n",
      "[-881.8111520315065, -731.1740935308751, -233.1290943962622]\n",
      "((-8, 0, 0, 1, 1), (-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0))\n",
      "((-8, 0, 0, 1, 1), (-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0))\n",
      "[-981.8111520315065, -831.1740935308751, -599.9999999999995]\n",
      "2\n",
      "200.0\n",
      "[-981.8111520315065, -831.1740935308751, -599.9999999999995]\n",
      "((-8, 0, 0, 1, 1), (-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0))\n",
      "((-8, 0, 0, 1, 1), (-6, 1, 0, 1, 0), (-4, 0, 0, 0, 1))\n",
      "[-1181.8111520315065, -1031.174093530875, 249.36294149936953]\n",
      "1\n",
      "None\n",
      "[-1181.8111520315065, -1031.174093530875, 249.36294149936953]\n",
      "((-8, 0, 0, 1, 1), (-6, 1, 0, 1, 0), (-4, 0, 0, 0, 1))\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[-1181.8111520315065, -950.6370585006307, 249.36294149936953]\n",
      "1\n",
      "None\n",
      "[-1181.8111520315065, -950.6370585006307, 249.36294149936953]\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-8, 0, 0, 1, 1), (-7, 0, 1, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[-1181.8111520315065, -564.3233446357958, 249.36294149936953]\n",
      "1\n",
      "None\n",
      "[-1181.8111520315065, -564.3233446357958, 249.36294149936953]\n",
      "((-8, 0, 0, 1, 1), (-7, 0, 1, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-8, 0, 0, 1, 1), (-4, 0, 0, 1, 0), (-4, 0, 0, 0, 1))\n",
      "[-1181.8111520315065, -533.1290943962624, 249.36294149936953]\n",
      "1\n",
      "None\n",
      "[-1181.8111520315065, -533.1290943962624, 249.36294149936953]\n",
      "((-8, 0, 0, 1, 1), (-4, 0, 0, 1, 0), (-4, 0, 0, 0, 1))\n",
      "((-8, 0, 0, 1, 1), (-1, 0, 0, 0, 0), (-4, 0, 0, 0, 1))\n",
      "[-1181.8111520315065, -301.9550008653873, 249.36294149936953]\n",
      "2\n",
      "-100.0\n",
      "[-1181.8111520315065, -301.9550008653873, 249.36294149936953]\n",
      "((-8, 0, 0, 1, 1), (-1, 0, 0, 0, 0), (-4, 0, 0, 0, 1))\n",
      "((-8, 0, 0, 1, 1), (-1, 0, 0, 0, 0), (-3, 0, 1, 0, 0))\n",
      "[-1081.8111520315065, -201.95500086538732, 184.35871299944768]\n",
      "1\n",
      "-700.0\n",
      "[-1081.8111520315065, -201.95500086538732, 184.35871299944768]\n",
      "((-8, 0, 0, 1, 1), (-1, 0, 0, 0, 0), (-3, 0, 1, 0, 0))\n",
      "((-8, 0, 0, 1, 1), (-5, 1, 1, 0, 0), (-3, 0, 1, 0, 0))\n",
      "[-381.8111520315065, 386.3137138648349, 884.3587129994477]\n",
      "2\n",
      "900.0\n",
      "[-381.8111520315065, 386.3137138648349, 884.3587129994477]\n",
      "((-8, 0, 0, 1, 1), (-5, 1, 1, 0, 0), (-3, 0, 1, 0, 0))\n",
      "((-8, 0, 0, 1, 1), (-5, 1, 1, 0, 0), (-2, 1, 0, 0, 0))\n",
      "[-1281.8111520315065, -513.6862861351651, 300.00000000000045]\n",
      "2\n",
      "100.0\n",
      "[-1281.8111520315065, -513.6862861351651, 300.00000000000045]\n",
      "((-8, 0, 0, 1, 1), (-5, 1, 1, 0, 0), (-2, 1, 0, 0, 0))\n",
      "((-8, 0, 0, 1, 1), (-5, 1, 1, 0, 0), (-3, 0, 0, 1, 0))\n",
      "[-1381.8111520315065, -613.6862861351651, 466.8709056037379]\n",
      "0\n",
      "None\n",
      "[-1381.8111520315065, -613.6862861351651, 466.8709056037379]\n",
      "((-8, 0, 0, 1, 1), (-5, 1, 1, 0, 0), (-3, 0, 0, 1, 0))\n",
      "((-4, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-3, 0, 0, 1, 0))\n",
      "[-1315.6412870005531, -613.6862861351651, 466.8709056037379]\n",
      "1\n",
      "-800.0\n",
      "[-1315.6412870005531, -613.6862861351651, 466.8709056037379]\n",
      "((-4, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-3, 0, 0, 1, 0))\n",
      "((-4, 0, 1, 0, 0), (-7, 0, 1, 0, 1), (-3, 0, 0, 1, 0))\n",
      "[-515.6412870005531, 35.67665536420418, 1266.8709056037378]\n",
      "0\n",
      "None\n",
      "[-515.6412870005531, 35.67665536420418, 1266.8709056037378]\n",
      "((-4, 0, 1, 0, 0), (-7, 0, 1, 0, 1), (-3, 0, 0, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-7, 0, 1, 0, 1), (-3, 0, 0, 1, 0))\n",
      "[-431.17409353087555, 35.67665536420418, 1266.8709056037378]\n",
      "1\n",
      "100.0\n",
      "[-431.17409353087555, 35.67665536420418, 1266.8709056037378]\n",
      "((-6, 1, 0, 1, 0), (-7, 0, 1, 0, 1), (-3, 0, 0, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "[-531.1740935308756, -33.12909439626242, 1166.8709056037378]\n",
      "0\n",
      "None\n",
      "[-531.1740935308756, -33.12909439626242, 1166.8709056037378]\n",
      "((-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "((-8, 0, 0, 1, 1), (-4, 0, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "[-681.8111520315065, -33.12909439626242, 1166.8709056037378]\n",
      "0\n",
      "-800.0\n",
      "[-681.8111520315065, -33.12909439626242, 1166.8709056037378]\n",
      "((-8, 0, 0, 1, 1), (-4, 0, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "[-46.81538053142776, 766.8709056037376, 1966.8709056037378]\n",
      "2\n",
      "None\n",
      "[-46.81538053142776, 766.8709056037376, 1966.8709056037378]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (0, 0, 0, 0, 0))\n",
      "[-46.81538053142776, 766.8709056037376, 2198.044999134613]\n",
      "2\n",
      "None\n",
      "[-46.81538053142776, 766.8709056037376, 2198.044999134613]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (0, 0, 0, 0, 0))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (-5, 0, 1, 1, 0))\n",
      "[-46.81538053142776, 766.8709056037376, 2353.1846194685727]\n",
      "0\n",
      "200.0\n",
      "[-46.81538053142776, 766.8709056037376, 2353.1846194685727]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (-5, 0, 1, 1, 0))\n",
      "((-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0), (-5, 0, 1, 1, 0))\n",
      "[-15.64128700055312, 566.8709056037376, 2153.1846194685727]\n",
      "0\n",
      "100.0\n",
      "[-15.64128700055312, 566.8709056037376, 2153.1846194685727]\n",
      "((-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0), (-5, 0, 1, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0), (-5, 0, 1, 1, 0))\n",
      "[-31.174093530875552, 466.8709056037376, 2053.1846194685727]\n",
      "1\n",
      "300.0\n",
      "[-31.174093530875552, 466.8709056037376, 2053.1846194685727]\n",
      "((-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0), (-5, 0, 1, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0), (-5, 0, 1, 1, 0))\n",
      "[-331.17409353087555, -99.99999999999977, 1753.1846194685727]\n",
      "1\n",
      "400.0\n",
      "[-331.17409353087555, -99.99999999999977, 1753.1846194685727]\n",
      "((-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0), (-5, 0, 1, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-3, 0, 1, 0, 0), (-5, 0, 1, 1, 0))\n",
      "[-731.1740935308756, 384.35871299944745, 1353.1846194685727]\n",
      "1\n",
      "200.0\n",
      "[-731.1740935308756, 384.35871299944745, 1353.1846194685727]\n",
      "((-6, 1, 0, 1, 0), (-3, 0, 1, 0, 0), (-5, 0, 1, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-2, 1, 0, 0, 0), (-5, 0, 1, 1, 0))\n",
      "[-931.1740935308756, 500.0000000000001, 1153.1846194685727]\n",
      "1\n",
      "-100.0\n",
      "[-931.1740935308756, 500.0000000000001, 1153.1846194685727]\n",
      "((-6, 1, 0, 1, 0), (-2, 1, 0, 0, 0), (-5, 0, 1, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-3, 0, 0, 1, 0), (-5, 0, 1, 1, 0))\n",
      "[-831.1740935308756, 866.8709056037376, 1253.1846194685727]\n",
      "2\n",
      "600.0\n",
      "[-831.1740935308756, 866.8709056037376, 1253.1846194685727]\n",
      "((-6, 1, 0, 1, 0), (-3, 0, 0, 1, 0), (-5, 0, 1, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-3, 0, 0, 1, 0), (0, 0, 0, 0, 0))\n",
      "[-1431.1740935308756, 266.8709056037376, 498.0449991346129]\n",
      "0\n",
      "-1600.0\n",
      "[-1431.1740935308756, 266.8709056037376, 498.0449991346129]\n",
      "((-6, 1, 0, 1, 0), (-3, 0, 0, 1, 0), (0, 0, 0, 0, 0))\n",
      "((-8, 0, 0, 1, 1), (-3, 0, 0, 1, 0), (0, 0, 0, 0, 0))\n",
      "[18.18884796849352, 1866.8709056037376, 2098.044999134613]\n",
      "2\n",
      "1800.0\n",
      "[18.18884796849352, 1866.8709056037376, 2098.044999134613]\n",
      "((-8, 0, 0, 1, 1), (-3, 0, 0, 1, 0), (0, 0, 0, 0, 0))\n",
      "((-8, 0, 0, 1, 1), (-3, 0, 0, 1, 0), (-6, 0, 0, 1, 1))\n",
      "[-1781.8111520315065, 66.87090560373758, 618.1888479684949]\n",
      "0\n",
      "-1400.0\n",
      "[-1781.8111520315065, 66.87090560373758, 618.1888479684949]\n",
      "((-8, 0, 0, 1, 1), (-3, 0, 0, 1, 0), (-6, 0, 0, 1, 1))\n",
      "((-5, 0, 0, 0, 1), (-3, 0, 0, 1, 0), (-6, 0, 0, 1, 1))\n",
      "[-150.63705850063116, 1466.8709056037376, 2018.1888479684949]\n",
      "0\n",
      "200.0\n",
      "[-150.63705850063116, 1466.8709056037376, 2018.1888479684949]\n",
      "((-5, 0, 0, 0, 1), (-3, 0, 0, 1, 0), (-6, 0, 0, 1, 1))\n",
      "((-4, 0, 0, 1, 0), (-3, 0, 0, 1, 0), (-6, 0, 0, 1, 1))\n",
      "[66.87090560373713, 1266.8709056037376, 1818.1888479684949]\n",
      "1\n",
      "500.0\n",
      "[66.87090560373713, 1266.8709056037376, 1818.1888479684949]\n",
      "((-4, 0, 0, 1, 0), (-3, 0, 0, 1, 0), (-6, 0, 0, 1, 1))\n",
      "((-4, 0, 0, 1, 0), (-7, 0, 0, 1, 1), (-6, 0, 0, 1, 1))\n",
      "[-433.1290943962629, 118.18884796849431, 1318.1888479684949]\n",
      "0\n",
      "-600.0\n",
      "[-433.1290943962629, 118.18884796849431, 1318.1888479684949]\n",
      "((-4, 0, 0, 1, 0), (-7, 0, 0, 1, 1), (-6, 0, 0, 1, 1))\n",
      "((-5, 0, 0, 1, 0), (-7, 0, 0, 1, 1), (-6, 0, 0, 1, 1))\n",
      "[-1033.129094396263, 718.1888479684943, 1918.1888479684949]\n",
      "1\n",
      "500.0\n",
      "[-1033.129094396263, 718.1888479684943, 1918.1888479684949]\n",
      "((-5, 0, 0, 1, 0), (-7, 0, 0, 1, 1), (-6, 0, 0, 1, 1))\n",
      "((-5, 0, 0, 1, 0), (-6, 0, 1, 1, 0), (-6, 0, 0, 1, 1))\n",
      "[-1533.129094396263, 53.18461946857224, 1418.1888479684949]\n",
      "2\n",
      "700.0\n",
      "[-1533.129094396263, 53.18461946857224, 1418.1888479684949]\n",
      "((-5, 0, 0, 1, 0), (-6, 0, 1, 1, 0), (-6, 0, 0, 1, 1))\n",
      "((-5, 0, 0, 1, 0), (-6, 0, 1, 1, 0), (-5, 0, 1, 1, 0))\n",
      "[-2233.129094396263, -646.8153805314278, 553.1846194685729]\n",
      "1\n",
      "-1000.0\n",
      "[-2233.129094396263, -646.8153805314278, 553.1846194685729]\n",
      "((-5, 0, 0, 1, 0), (-6, 0, 1, 1, 0), (-5, 0, 1, 1, 0))\n",
      "((-5, 0, 0, 1, 0), (-4, 0, 0, 1, 0), (-5, 0, 1, 1, 0))\n",
      "[-1233.129094396263, -33.12909439626242, 1553.184619468573]\n",
      "0\n",
      "-100.0\n",
      "[-1233.129094396263, -33.12909439626242, 1553.184619468573]\n",
      "((-5, 0, 0, 1, 0), (-4, 0, 0, 1, 0), (-5, 0, 1, 1, 0))\n",
      "((-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0), (-5, 0, 1, 1, 0))\n",
      "[-515.6412870005531, 66.87090560373758, 1653.184619468573]\n",
      "0\n",
      "-100.0\n",
      "[-515.6412870005531, 66.87090560373758, 1653.184619468573]\n",
      "((-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0), (-5, 0, 1, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0), (-5, 0, 1, 1, 0))\n",
      "[-331.17409353087555, 166.87090560373758, 1753.184619468573]\n",
      "1\n",
      "None\n",
      "[-331.17409353087555, 166.87090560373758, 1753.184619468573]\n",
      "((-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0), (-5, 0, 1, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0), (-5, 0, 1, 1, 0))\n",
      "[-331.17409353087555, -99.99999999999977, 1753.184619468573]\n",
      "1\n",
      "None\n",
      "[-331.17409353087555, -99.99999999999977, 1753.184619468573]\n",
      "((-6, 1, 0, 1, 0), (-3, 1, 0, 0, 0), (-5, 0, 1, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-3, 0, 1, 0, 0), (-5, 0, 1, 1, 0))\n",
      "[-331.17409353087555, 784.3587129994474, 1753.184619468573]\n",
      "1\n",
      "0.0\n",
      "[-331.17409353087555, 784.3587129994474, 1753.184619468573]\n",
      "((-6, 1, 0, 1, 0), (-3, 0, 1, 0, 0), (-5, 0, 1, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-2, 1, 0, 0, 0), (-5, 0, 1, 1, 0))\n",
      "[-331.17409353087555, 1100.0, 1753.184619468573]\n",
      "0\n",
      "-300.0\n",
      "[-331.17409353087555, 1100.0, 1753.184619468573]\n",
      "((-6, 1, 0, 1, 0), (-2, 1, 0, 0, 0), (-5, 0, 1, 1, 0))\n",
      "((-4, 0, 1, 0, 0), (-2, 1, 0, 0, 0), (-5, 0, 1, 1, 0))\n",
      "[-115.64128700055312, 1400.0, 2053.184619468573]\n",
      "0\n",
      "None\n",
      "[-115.64128700055312, 1400.0, 2053.184619468573]\n",
      "((-4, 0, 1, 0, 0), (-2, 1, 0, 0, 0), (-5, 0, 1, 1, 0))\n",
      "((-7, 1, 0, 0, 1), (-2, 1, 0, 0, 0), (-5, 0, 1, 1, 0))\n",
      "[-448.68205763524384, 1400.0, 2053.184619468573]\n",
      "0\n",
      "None\n",
      "[-448.68205763524384, 1400.0, 2053.184619468573]\n",
      "((-7, 1, 0, 0, 1), (-2, 1, 0, 0, 0), (-5, 0, 1, 1, 0))\n",
      "((-2, 0, 0, 0, 0), (-2, 1, 0, 0, 0), (-5, 0, 1, 1, 0))\n",
      "[-501.9550008653878, 1400.0, 2053.184619468573]\n",
      "2\n",
      "None\n",
      "[-501.9550008653878, 1400.0, 2053.184619468573]\n",
      "((-2, 0, 0, 0, 0), (-2, 1, 0, 0, 0), (-5, 0, 1, 1, 0))\n",
      "((-2, 0, 0, 0, 0), (-2, 1, 0, 0, 0), (-5, 1, 0, 0, 1))\n",
      "[-501.9550008653878, 1400.0, 1951.3179423647575]\n",
      "0\n",
      "None\n",
      "[-501.9550008653878, 1400.0, 1951.3179423647575]\n",
      "((-2, 0, 0, 0, 0), (-2, 1, 0, 0, 0), (-5, 1, 0, 0, 1))\n",
      "((-6, 1, 1, 0, 0), (-2, 1, 0, 0, 0), (-5, 1, 0, 0, 1))\n",
      "[-613.686286135166, 1400.0, 1951.3179423647575]\n",
      "2\n",
      "None\n",
      "[-613.686286135166, 1400.0, 1951.3179423647575]\n",
      "((-6, 1, 1, 0, 0), (-2, 1, 0, 0, 0), (-5, 1, 0, 0, 1))\n",
      "((-6, 1, 1, 0, 0), (-2, 1, 0, 0, 0), (0, 0, 0, 0, 0))\n",
      "[-613.686286135166, 1400.0, 1898.0449991346134]\n",
      "0\n",
      "-200.0\n",
      "[-613.686286135166, 1400.0, 1898.0449991346134]\n",
      "((-6, 1, 1, 0, 0), (-2, 1, 0, 0, 0), (0, 0, 0, 0, 0))\n",
      "((-7, 1, 0, 0, 1), (-2, 1, 0, 0, 0), (0, 0, 0, 0, 0))\n",
      "[-248.68205763524384, 1600.0, 2098.044999134613]\n",
      "2\n",
      "1800.0\n",
      "[-248.68205763524384, 1600.0, 2098.044999134613]\n",
      "((-7, 1, 0, 0, 1), (-2, 1, 0, 0, 0), (0, 0, 0, 0, 0))\n",
      "((-7, 1, 0, 0, 1), (-2, 1, 0, 0, 0), (-4, 1, 1, 0, 0))\n",
      "[-2048.682057635244, -200.0, 186.31371386483534]\n",
      "2\n",
      "-100.0\n",
      "[-2048.682057635244, -200.0, 186.31371386483534]\n",
      "((-7, 1, 0, 0, 1), (-2, 1, 0, 0, 0), (-4, 1, 1, 0, 0))\n",
      "((-7, 1, 0, 0, 1), (-2, 1, 0, 0, 0), (-4, 1, 0, 1, 0))\n",
      "[-1948.6820576352438, -100.0, 868.8259064691255]\n",
      "2\n",
      "-300.0\n",
      "[-1948.6820576352438, -100.0, 868.8259064691255]\n",
      "((-7, 1, 0, 0, 1), (-2, 1, 0, 0, 0), (-4, 1, 0, 1, 0))\n",
      "((-7, 1, 0, 0, 1), (-2, 1, 0, 0, 0), (-5, 1, 0, 0, 1))\n",
      "[-1648.6820576352438, 200.0, 751.3179423647572]\n",
      "2\n",
      "None\n",
      "[-1648.6820576352438, 200.0, 751.3179423647572]\n",
      "((-7, 1, 0, 0, 1), (-2, 1, 0, 0, 0), (-5, 1, 0, 0, 1))\n",
      "((-7, 1, 0, 0, 1), (-2, 1, 0, 0, 0), (-3, 0, 0, 0, 1))\n",
      "[-1648.6820576352438, 200.0, 1249.3629414993698]\n",
      "2\n",
      "None\n",
      "[-1648.6820576352438, 200.0, 1249.3629414993698]\n",
      "((-7, 1, 0, 0, 1), (-2, 1, 0, 0, 0), (-3, 0, 0, 0, 1))\n",
      "((-7, 1, 0, 0, 1), (-2, 1, 0, 0, 0), (-1, 1, 0, 0, 0))\n",
      "[-1648.6820576352438, 200.0, 1400.0000000000005]\n",
      "2\n",
      "None\n",
      "[-1648.6820576352438, 200.0, 1400.0000000000005]\n",
      "((-7, 1, 0, 0, 1), (-2, 1, 0, 0, 0), (-1, 1, 0, 0, 0))\n",
      "((-7, 1, 0, 0, 1), (-2, 1, 0, 0, 0), (-3, 1, 1, 0, 0))\n",
      "[-1648.6820576352438, 200.0, 1786.3137138648353]\n",
      "2\n",
      "-200.0\n",
      "[-1648.6820576352438, 200.0, 1786.3137138648353]\n",
      "((-7, 1, 0, 0, 1), (-2, 1, 0, 0, 0), (-3, 1, 1, 0, 0))\n",
      "((-7, 1, 0, 0, 1), (-2, 1, 0, 0, 0), (-4, 1, 0, 1, 0))\n",
      "[-1448.6820576352438, 400.0, 1368.8259064691256]\n",
      "0\n",
      "None\n",
      "[-1448.6820576352438, 400.0, 1368.8259064691256]\n",
      "((-7, 1, 0, 0, 1), (-2, 1, 0, 0, 0), (-4, 1, 0, 1, 0))\n",
      "((-2, 0, 0, 0, 0), (-2, 1, 0, 0, 0), (-4, 1, 0, 1, 0))\n",
      "[-1501.9550008653878, 400.0, 1368.8259064691256]\n",
      "1\n",
      "None\n",
      "[-1501.9550008653878, 400.0, 1368.8259064691256]\n",
      "((-2, 0, 0, 0, 0), (-2, 1, 0, 0, 0), (-4, 1, 0, 1, 0))\n",
      "((-2, 0, 0, 0, 0), (-4, 0, 0, 0, 1), (-4, 1, 0, 1, 0))\n",
      "[-1501.9550008653878, 249.36294149936919, 1368.8259064691256]\n",
      "0\n",
      "None\n",
      "[-1501.9550008653878, 249.36294149936919, 1368.8259064691256]\n",
      "((-2, 0, 0, 0, 0), (-4, 0, 0, 0, 1), (-4, 1, 0, 1, 0))\n",
      "((-5, 0, 0, 1, 0), (-4, 0, 0, 0, 1), (-4, 1, 0, 1, 0))\n",
      "[-1733.129094396263, 249.36294149936919, 1368.8259064691256]\n",
      "2\n",
      "None\n",
      "[-1733.129094396263, 249.36294149936919, 1368.8259064691256]\n",
      "((-5, 0, 0, 1, 0), (-4, 0, 0, 0, 1), (-4, 1, 0, 1, 0))\n",
      "((-5, 0, 0, 1, 0), (-4, 0, 0, 0, 1), (-6, 0, 0, 1, 1))\n",
      "[-1733.129094396263, 249.36294149936919, 1218.1888479684949]\n",
      "1\n",
      "None\n",
      "[-1733.129094396263, 249.36294149936919, 1218.1888479684949]\n",
      "((-5, 0, 0, 1, 0), (-4, 0, 0, 0, 1), (-6, 0, 0, 1, 1))\n",
      "((-5, 0, 0, 1, 0), (-5, 1, 0, 1, 0), (-6, 0, 0, 1, 1))\n",
      "[-1733.129094396263, 168.8259064691249, 1218.1888479684949]\n",
      "0\n",
      "None\n",
      "[-1733.129094396263, 168.8259064691249, 1218.1888479684949]\n",
      "((-5, 0, 0, 1, 0), (-5, 1, 0, 1, 0), (-6, 0, 0, 1, 1))\n",
      "((-4, 1, 0, 0, 0), (-5, 1, 0, 1, 0), (-6, 0, 0, 1, 1))\n",
      "[-2000.0000000000005, 168.8259064691249, 1218.1888479684949]\n",
      "1\n",
      "None\n",
      "[-2000.0000000000005, 168.8259064691249, 1218.1888479684949]\n",
      "((-4, 1, 0, 0, 0), (-5, 1, 0, 1, 0), (-6, 0, 0, 1, 1))\n",
      "((-4, 1, 0, 0, 0), (-6, 1, 0, 0, 1), (-6, 0, 0, 1, 1))\n",
      "[-2000.0000000000005, -248.68205763524327, 1218.1888479684949]\n",
      "0\n",
      "-1000.0\n",
      "[-2000.0000000000005, -248.68205763524327, 1218.1888479684949]\n",
      "((-4, 1, 0, 0, 0), (-6, 1, 0, 0, 1), (-6, 0, 0, 1, 1))\n",
      "((-5, 0, 0, 0, 1), (-6, 1, 0, 0, 1), (-6, 0, 0, 1, 1))\n",
      "[49.362941499368844, 751.3179423647567, 2218.188847968495]\n",
      "2\n",
      "None\n",
      "[49.362941499368844, 751.3179423647567, 2218.188847968495]\n",
      "((-5, 0, 0, 0, 1), (-6, 1, 0, 0, 1), (-6, 0, 0, 1, 1))\n",
      "((-5, 0, 0, 0, 1), (-6, 1, 0, 0, 1), (-5, 1, 0, 0, 1))\n",
      "[49.362941499368844, 751.3179423647567, 1951.3179423647573]\n",
      "1\n",
      "500.0\n",
      "[49.362941499368844, 751.3179423647567, 1951.3179423647573]\n",
      "((-5, 0, 0, 0, 1), (-6, 1, 0, 0, 1), (-5, 1, 0, 0, 1))\n",
      "((-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0), (-5, 1, 0, 0, 1))\n",
      "[-450.63705850063116, 198.04499913461257, 1451.3179423647573]\n",
      "2\n",
      "700.0\n",
      "[-450.63705850063116, 198.04499913461257, 1451.3179423647573]\n",
      "((-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0), (-5, 1, 0, 0, 1))\n",
      "((-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0), (0, 0, 0, 0, 0))\n",
      "[-1150.6370585006312, -501.95500086538743, 698.0449991346131]\n",
      "0\n",
      "-1400.0\n",
      "[-1150.6370585006312, -501.95500086538743, 698.0449991346131]\n",
      "((-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0), (0, 0, 0, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-1, 0, 0, 0, 0), (0, 0, 0, 0, 0))\n",
      "[84.35871299944688, 898.0449991346126, 2098.044999134613]\n",
      "1\n",
      "500.0\n",
      "[84.35871299944688, 898.0449991346126, 2098.044999134613]\n",
      "((-4, 0, 1, 0, 0), (-1, 0, 0, 0, 0), (0, 0, 0, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (0, 0, 0, 0, 0))\n",
      "[-415.6412870005531, 286.31371386483477, 1598.0449991346131]\n",
      "2\n",
      "700.0\n",
      "[-415.6412870005531, 286.31371386483477, 1598.0449991346131]\n",
      "((-4, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (0, 0, 0, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "[-1115.6412870005531, -413.68628613516523, 786.3137138648353]\n",
      "1\n",
      "None\n",
      "[-1115.6412870005531, -413.68628613516523, 786.3137138648353]\n",
      "((-4, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-7, 0, 1, 0, 1), (-4, 1, 1, 0, 0))\n",
      "[-1115.6412870005531, -564.3233446357959, 786.3137138648353]\n",
      "1\n",
      "None\n",
      "[-1115.6412870005531, -564.3233446357959, 786.3137138648353]\n",
      "((-4, 0, 1, 0, 0), (-7, 0, 1, 0, 1), (-4, 1, 1, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-3, 1, 0, 0, 0), (-4, 1, 1, 0, 0))\n",
      "[-1115.6412870005531, -799.9999999999999, 786.3137138648353]\n",
      "1\n",
      "None\n",
      "[-1115.6412870005531, -799.9999999999999, 786.3137138648353]\n",
      "((-4, 0, 1, 0, 0), (-3, 1, 0, 0, 0), (-4, 1, 1, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-1, 0, 0, 0, 0), (-4, 1, 1, 0, 0))\n",
      "[-1115.6412870005531, -301.95500086538743, 786.3137138648353]\n",
      "1\n",
      "-1000.0\n",
      "[-1115.6412870005531, -301.95500086538743, 786.3137138648353]\n",
      "((-4, 0, 1, 0, 0), (-1, 0, 0, 0, 0), (-4, 1, 1, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0), (-4, 1, 1, 0, 0))\n",
      "[-115.64128700055312, 853.1846194685721, 1786.3137138648353]\n",
      "1\n",
      "100.0\n",
      "[-115.64128700055312, 853.1846194685721, 1786.3137138648353]\n",
      "((-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0), (-4, 1, 1, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "[-215.64128700055312, 486.31371386483477, 1686.3137138648353]\n",
      "0\n",
      "None\n",
      "[-215.64128700055312, 486.31371386483477, 1686.3137138648353]\n",
      "((-4, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "((-3, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "[99.99999999999977, 486.31371386483477, 1686.3137138648353]\n",
      "0\n",
      "None\n",
      "[99.99999999999977, 486.31371386483477, 1686.3137138648353]\n",
      "((-3, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "((-4, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "[-1100.0000000000005, 486.31371386483477, 1686.3137138648353]\n",
      "0\n",
      "None\n",
      "[-1100.0000000000005, 486.31371386483477, 1686.3137138648353]\n",
      "((-4, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "((-5, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "[-1415.6412870005533, 486.31371386483477, 1686.3137138648353]\n",
      "0\n",
      "-600.0\n",
      "[-1415.6412870005533, 486.31371386483477, 1686.3137138648353]\n",
      "((-5, 0, 1, 0, 0), (-5, 1, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "((-5, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "[-1700.000000000001, 1086.3137138648349, 2286.3137138648353]\n",
      "1\n",
      "None\n",
      "[-1700.000000000001, 1086.3137138648349, 2286.3137138648353]\n",
      "((-5, 1, 0, 0, 0), (-5, 1, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "((-5, 1, 0, 0, 0), (-1, 0, 0, 0, 0), (-4, 1, 1, 0, 0))\n",
      "[-1700.000000000001, 1198.0449991346127, 2286.3137138648353]\n",
      "1\n",
      "None\n",
      "[-1700.000000000001, 1198.0449991346127, 2286.3137138648353]\n",
      "((-5, 1, 0, 0, 0), (-1, 0, 0, 0, 0), (-4, 1, 1, 0, 0))\n",
      "((-5, 1, 0, 0, 0), (-6, 1, 0, 0, 1), (-4, 1, 1, 0, 0))\n",
      "[-1700.000000000001, 1251.3179423647568, 2286.3137138648353]\n",
      "0\n",
      "None\n",
      "[-1700.000000000001, 1251.3179423647568, 2286.3137138648353]\n",
      "((-5, 1, 0, 0, 0), (-6, 1, 0, 0, 1), (-4, 1, 1, 0, 0))\n",
      "((-7, 0, 0, 0, 1), (-6, 1, 0, 0, 1), (-4, 1, 1, 0, 0))\n",
      "[-1850.6370585006316, 1251.3179423647568, 2286.3137138648353]\n",
      "2\n",
      "None\n",
      "[-1850.6370585006316, 1251.3179423647568, 2286.3137138648353]\n",
      "((-7, 0, 0, 0, 1), (-6, 1, 0, 0, 1), (-4, 1, 1, 0, 0))\n",
      "((-7, 0, 0, 0, 1), (-6, 1, 0, 0, 1), (0, 0, 0, 0, 0))\n",
      "[-1850.6370585006316, 1251.3179423647568, 2398.044999134613]\n",
      "1\n",
      "None\n",
      "[-1850.6370585006316, 1251.3179423647568, 2398.044999134613]\n",
      "((-7, 0, 0, 0, 1), (-6, 1, 0, 0, 1), (0, 0, 0, 0, 0))\n",
      "((-7, 0, 0, 0, 1), (-7, 0, 0, 1, 1), (0, 0, 0, 0, 0))\n",
      "[-1850.6370585006316, 1518.1888479684944, 2398.044999134613]\n",
      "2\n",
      "None\n",
      "[-1850.6370585006316, 1518.1888479684944, 2398.044999134613]\n",
      "((-7, 0, 0, 0, 1), (-7, 0, 0, 1, 1), (0, 0, 0, 0, 0))\n",
      "((-7, 0, 0, 0, 1), (-7, 0, 0, 1, 1), (-5, 1, 0, 0, 1))\n",
      "[-1850.6370585006316, 1518.1888479684944, 2451.317942364757]\n",
      "1\n",
      "300.0\n",
      "[-1850.6370585006316, 1518.1888479684944, 2451.317942364757]\n",
      "((-7, 0, 0, 0, 1), (-7, 0, 0, 1, 1), (-5, 1, 0, 0, 1))\n",
      "((-7, 0, 0, 0, 1), (-8, 0, 0, 1, 1), (-5, 1, 0, 0, 1))\n",
      "[-2150.6370585006316, 18.188847968493974, 2151.317942364757]\n",
      "0\n",
      "None\n",
      "[-2150.6370585006316, 18.188847968493974, 2151.317942364757]\n",
      "((-7, 0, 0, 0, 1), (-8, 0, 0, 1, 1), (-5, 1, 0, 0, 1))\n",
      "((-5, 1, 0, 0, 0), (-8, 0, 0, 1, 1), (-5, 1, 0, 0, 1))\n",
      "[-2000.000000000001, 18.188847968493974, 2151.317942364757]\n",
      "0\n",
      "-200.0\n",
      "[-2000.000000000001, 18.188847968493974, 2151.317942364757]\n",
      "((-5, 1, 0, 0, 0), (-8, 0, 0, 1, 1), (-5, 1, 0, 0, 1))\n",
      "((-6, 0, 0, 0, 1), (-8, 0, 0, 1, 1), (-5, 1, 0, 0, 1))\n",
      "[-750.6370585006312, 218.18884796849397, 2351.317942364757]\n",
      "2\n",
      "1100.0\n",
      "[-750.6370585006312, 218.18884796849397, 2351.317942364757]\n",
      "((-6, 0, 0, 0, 1), (-8, 0, 0, 1, 1), (-5, 1, 0, 0, 1))\n",
      "((-6, 0, 0, 0, 1), (-8, 0, 0, 1, 1), (-7, 0, 0, 1, 1))\n",
      "[-1850.6370585006312, -881.811152031506, 318.18884796849443]\n",
      "1\n",
      "-200.0\n",
      "[-1850.6370585006312, -881.811152031506, 318.18884796849443]\n",
      "((-6, 0, 0, 0, 1), (-8, 0, 0, 1, 1), (-7, 0, 0, 1, 1))\n",
      "((-6, 0, 0, 0, 1), (-4, 0, 0, 1, 0), (-7, 0, 0, 1, 1))\n",
      "[-1650.6370585006312, -33.12909439626242, 518.1888479684944]\n",
      "1\n",
      "100.0\n",
      "[-1650.6370585006312, -33.12909439626242, 518.1888479684944]\n",
      "((-6, 0, 0, 0, 1), (-4, 0, 0, 1, 0), (-7, 0, 0, 1, 1))\n",
      "((-6, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-7, 0, 0, 1, 1))\n",
      "[-1750.6370585006312, -164.32334463579582, 418.18884796849443]\n",
      "0\n",
      "None\n",
      "[-1750.6370585006312, -164.32334463579582, 418.18884796849443]\n",
      "((-6, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-7, 0, 0, 1, 1))\n",
      "((-5, 0, 1, 0, 0), (-7, 0, 1, 0, 1), (-7, 0, 0, 1, 1))\n",
      "[-1915.6412870005533, -164.32334463579582, 418.18884796849443]\n",
      "0\n",
      "None\n",
      "[-1915.6412870005533, -164.32334463579582, 418.18884796849443]\n",
      "((-5, 0, 1, 0, 0), (-7, 0, 1, 0, 1), (-7, 0, 0, 1, 1))\n",
      "((-5, 0, 0, 1, 0), (-7, 0, 1, 0, 1), (-7, 0, 0, 1, 1))\n",
      "[-1333.129094396263, -164.32334463579582, 418.18884796849443]\n",
      "2\n",
      "200.0\n",
      "[-1333.129094396263, -164.32334463579582, 418.18884796849443]\n",
      "((-5, 0, 0, 1, 0), (-7, 0, 1, 0, 1), (-7, 0, 0, 1, 1))\n",
      "((-5, 0, 0, 1, 0), (-7, 0, 1, 0, 1), (-6, 0, 1, 1, 0))\n",
      "[-1533.129094396263, -364.3233446357958, 53.18461946857235]\n",
      "0\n",
      "None\n",
      "[-1533.129094396263, -364.3233446357958, 53.18461946857235]\n",
      "((-5, 0, 0, 1, 0), (-7, 0, 1, 0, 1), (-6, 0, 1, 1, 0))\n",
      "((-4, 0, 1, 0, 0), (-7, 0, 1, 0, 1), (-6, 0, 1, 1, 0))\n",
      "[-915.6412870005531, -364.3233446357958, 53.18461946857235]\n",
      "0\n",
      "-1500.0\n",
      "[-915.6412870005531, -364.3233446357958, 53.18461946857235]\n",
      "((-4, 0, 1, 0, 0), (-7, 0, 1, 0, 1), (-6, 0, 1, 1, 0))\n",
      "((-5, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-6, 0, 1, 1, 0))\n",
      "[749.3629414993688, 1135.6766553642042, 1553.1846194685722]\n",
      "1\n",
      "None\n",
      "[749.3629414993688, 1135.6766553642042, 1553.1846194685722]\n",
      "((-5, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-6, 0, 1, 1, 0))\n",
      "((-5, 0, 0, 0, 1), (-4, 0, 0, 1, 0), (-6, 0, 1, 1, 0))\n",
      "[749.3629414993688, 1166.8709056037376, 1553.1846194685722]\n",
      "0\n",
      "700.0\n",
      "[749.3629414993688, 1166.8709056037376, 1553.1846194685722]\n",
      "((-5, 0, 0, 0, 1), (-4, 0, 0, 1, 0), (-6, 0, 1, 1, 0))\n",
      "((-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0), (-6, 0, 1, 1, 0))\n",
      "[-31.174093530875552, 466.8709056037376, 853.1846194685722]\n",
      "0\n",
      "100.0\n",
      "[-31.174093530875552, 466.8709056037376, 853.1846194685722]\n",
      "((-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0), (-6, 0, 1, 1, 0))\n",
      "((-8, 0, 0, 1, 1), (-4, 0, 0, 1, 0), (-6, 0, 1, 1, 0))\n",
      "[-281.8111520315065, 366.8709056037376, 753.1846194685722]\n",
      "1\n",
      "None\n",
      "[-281.8111520315065, 366.8709056037376, 753.1846194685722]\n",
      "((-8, 0, 0, 1, 1), (-4, 0, 0, 1, 0), (-6, 0, 1, 1, 0))\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-6, 0, 1, 1, 0))\n",
      "[-281.8111520315065, -50.6370585006307, 753.1846194685722]\n",
      "1\n",
      "None\n",
      "[-281.8111520315065, -50.6370585006307, 753.1846194685722]\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-6, 0, 1, 1, 0))\n",
      "((-8, 0, 0, 1, 1), (-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0))\n",
      "[-281.8111520315065, -215.64128700055267, 753.1846194685722]\n",
      "0\n",
      "-500.0\n",
      "[-281.8111520315065, -215.64128700055267, 753.1846194685722]\n",
      "((-8, 0, 0, 1, 1), (-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0))\n",
      "[53.18461946857224, 284.35871299944733, 1253.1846194685722]\n",
      "1\n",
      "500.0\n",
      "[53.18461946857224, 284.35871299944733, 1253.1846194685722]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0))\n",
      "[53.18461946857224, 284.35871299944733, 1253.1846194685722]\n",
      "2\n",
      "None\n",
      "[53.18461946857224, 284.35871299944733, 1253.1846194685722]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-1, 0, 0, 0, 0))\n",
      "[53.18461946857224, 284.35871299944733, 1098.0449991346127]\n",
      "2\n",
      "None\n",
      "[53.18461946857224, 284.35871299944733, 1098.0449991346127]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-1, 0, 0, 0, 0))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-5, 1, 1, 0, 0))\n",
      "[53.18461946857224, 284.35871299944733, 986.3137138648349]\n",
      "2\n",
      "None\n",
      "[53.18461946857224, 284.35871299944733, 986.3137138648349]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-5, 1, 1, 0, 0))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0))\n",
      "[53.18461946857224, 284.35871299944733, 866.8709056037376]\n",
      "2\n",
      "None\n",
      "[53.18461946857224, 284.35871299944733, 866.8709056037376]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-7, 0, 1, 0, 1))\n",
      "[53.18461946857224, 284.35871299944733, 835.6766553642042]\n",
      "2\n",
      "400.0\n",
      "[53.18461946857224, 284.35871299944733, 835.6766553642042]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-7, 0, 1, 0, 1))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0))\n",
      "[-346.81538053142776, -115.64128700055267, 853.1846194685722]\n",
      "1\n",
      "None\n",
      "[-346.81538053142776, -115.64128700055267, 853.1846194685722]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (-6, 0, 1, 1, 0))\n",
      "[-346.81538053142776, 466.8709056037376, 853.1846194685722]\n",
      "2\n",
      "700.0\n",
      "[-346.81538053142776, 466.8709056037376, 853.1846194685722]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (-6, 0, 1, 1, 0))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "[-1046.8153805314278, -233.12909439626242, -1.9550008653873192]\n",
      "2\n",
      "100.0\n",
      "[-1046.8153805314278, -233.12909439626242, -1.9550008653873192]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (-7, 0, 0, 1, 1))\n",
      "[-1146.8153805314278, -333.1290943962624, 218.18884796849431]\n",
      "1\n",
      "None\n",
      "[-1146.8153805314278, -333.1290943962624, 218.18884796849431]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (-7, 0, 0, 1, 1))\n",
      "((-7, 0, 1, 1, 0), (-5, 0, 0, 0, 1), (-7, 0, 0, 1, 1))\n",
      "[-1146.8153805314278, -750.6370585006307, 218.18884796849431]\n",
      "1\n",
      "None\n",
      "[-1146.8153805314278, -750.6370585006307, 218.18884796849431]\n",
      "((-7, 0, 1, 1, 0), (-5, 0, 0, 0, 1), (-7, 0, 0, 1, 1))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-7, 0, 0, 1, 1))\n",
      "[-1146.8153805314278, -915.6412870005527, 218.18884796849431]\n",
      "2\n",
      "-500.0\n",
      "[-1146.8153805314278, -915.6412870005527, 218.18884796849431]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-7, 0, 0, 1, 1))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0))\n",
      "[-646.8153805314278, -415.64128700055267, 553.1846194685722]\n",
      "1\n",
      "-500.0\n",
      "[-646.8153805314278, -415.64128700055267, 553.1846194685722]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0))\n",
      "[-646.8153805314278, -415.64128700055267, 553.1846194685722]\n",
      "0\n",
      "None\n",
      "[-646.8153805314278, -415.64128700055267, 553.1846194685722]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0))\n",
      "((-2, 0, 0, 0, 0), (-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0))\n",
      "[-801.9550008653878, -415.64128700055267, 553.1846194685722]\n",
      "1\n",
      "-300.0\n",
      "[-801.9550008653878, -415.64128700055267, 553.1846194685722]\n",
      "((-2, 0, 0, 0, 0), (-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0))\n",
      "((-2, 0, 0, 0, 0), (-5, 0, 0, 0, 1), (-6, 0, 1, 1, 0))\n",
      "[-501.9550008653878, 49.3629414993693, 853.1846194685722]\n",
      "0\n",
      "None\n",
      "[-501.9550008653878, 49.3629414993693, 853.1846194685722]\n",
      "((-2, 0, 0, 0, 0), (-5, 0, 0, 0, 1), (-6, 0, 1, 1, 0))\n",
      "((-7, 1, 0, 0, 1), (-5, 0, 0, 0, 1), (-6, 0, 1, 1, 0))\n",
      "[-448.68205763524384, 49.3629414993693, 853.1846194685722]\n",
      "2\n",
      "None\n",
      "[-448.68205763524384, 49.3629414993693, 853.1846194685722]\n",
      "((-7, 1, 0, 0, 1), (-5, 0, 0, 0, 1), (-6, 0, 1, 1, 0))\n",
      "((-7, 1, 0, 0, 1), (-5, 0, 0, 0, 1), (-6, 1, 0, 0, 1))\n",
      "[-448.68205763524384, 49.3629414993693, 751.3179423647568]\n",
      "0\n",
      "-200.0\n",
      "[-448.68205763524384, 49.3629414993693, 751.3179423647568]\n",
      "((-7, 1, 0, 0, 1), (-5, 0, 0, 0, 1), (-6, 1, 0, 0, 1))\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-6, 1, 0, 0, 1))\n",
      "[18.18884796849352, 249.3629414993693, 951.3179423647568]\n",
      "2\n",
      "None\n",
      "[18.18884796849352, 249.3629414993693, 951.3179423647568]\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-6, 1, 0, 0, 1))\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0))\n",
      "[18.18884796849352, 249.3629414993693, 898.0449991346127]\n",
      "2\n",
      "None\n",
      "[18.18884796849352, 249.3629414993693, 898.0449991346127]\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0))\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 1, 0))\n",
      "[18.18884796849352, 249.3629414993693, 666.8709056037376]\n",
      "2\n",
      "1200.0\n",
      "[18.18884796849352, 249.3629414993693, 666.8709056037376]\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 1, 0))\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-7, 0, 0, 1, 1))\n",
      "[-1181.8111520315065, -950.6370585006307, 18.18884796849443]\n",
      "2\n",
      "None\n",
      "[-1181.8111520315065, -950.6370585006307, 18.18884796849443]\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-7, 0, 0, 1, 1))\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[-1181.8111520315065, -950.6370585006307, 249.3629414993694]\n",
      "2\n",
      "None\n",
      "[-1181.8111520315065, -950.6370585006307, 249.3629414993694]\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-6, 0, 1, 0, 1))\n",
      "[-1181.8111520315065, -950.6370585006307, 635.6766553642043]\n",
      "2\n",
      "-300.0\n",
      "[-1181.8111520315065, -950.6370585006307, 635.6766553642043]\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-6, 0, 1, 0, 1))\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0))\n",
      "[-881.8111520315065, -650.6370585006307, -1.9550008653872055]\n",
      "0\n",
      "None\n",
      "[-881.8111520315065, -650.6370585006307, -1.9550008653872055]\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0))\n",
      "[-815.6412870005531, -650.6370585006307, -1.9550008653872055]\n",
      "1\n",
      "None\n",
      "[-815.6412870005531, -650.6370585006307, -1.9550008653872055]\n",
      "((-4, 0, 1, 0, 0), (-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-3, 1, 0, 0, 0), (-1, 0, 0, 0, 0))\n",
      "[-815.6412870005531, -499.9999999999998, -1.9550008653872055]\n",
      "1\n",
      "None\n",
      "[-815.6412870005531, -499.9999999999998, -1.9550008653872055]\n",
      "((-4, 0, 1, 0, 0), (-3, 1, 0, 0, 0), (-1, 0, 0, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-7, 0, 1, 0, 1), (-1, 0, 0, 0, 0))\n",
      "[-815.6412870005531, -264.3233446357958, -1.9550008653872055]\n",
      "0\n",
      "None\n",
      "[-815.6412870005531, -264.3233446357958, -1.9550008653872055]\n",
      "((-4, 0, 1, 0, 0), (-7, 0, 1, 0, 1), (-1, 0, 0, 0, 0))\n",
      "((-5, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-1, 0, 0, 0, 0))\n",
      "[-650.6370585006312, -264.3233446357958, -1.9550008653872055]\n",
      "1\n",
      "None\n",
      "[-650.6370585006312, -264.3233446357958, -1.9550008653872055]\n",
      "((-5, 0, 0, 0, 1), (-7, 0, 1, 0, 1), (-1, 0, 0, 0, 0))\n",
      "((-5, 0, 0, 0, 1), (-4, 0, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "[-650.6370585006312, -233.12909439626242, -1.9550008653872055]\n",
      "0\n",
      "None\n",
      "[-650.6370585006312, -233.12909439626242, -1.9550008653872055]\n",
      "((-5, 0, 0, 0, 1), (-4, 0, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "((-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "[-731.1740935308756, -233.12909439626242, -1.9550008653872055]\n",
      "0\n",
      "-1200.0\n",
      "[-731.1740935308756, -233.12909439626242, -1.9550008653872055]\n",
      "((-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "((-2, 0, 0, 0, 0), (-4, 0, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "[-1.955000865387774, 966.8709056037376, 1198.0449991346127]\n",
      "1\n",
      "800.0\n",
      "[-1.955000865387774, 966.8709056037376, 1198.0449991346127]\n",
      "((-2, 0, 0, 0, 0), (-4, 0, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "((-2, 0, 0, 0, 0), (-3, 1, 0, 0, 0), (-1, 0, 0, 0, 0))\n",
      "[-801.9550008653878, -99.99999999999977, 398.0449991346127]\n",
      "1\n",
      "100.0\n",
      "[-801.9550008653878, -99.99999999999977, 398.0449991346127]\n",
      "((-2, 0, 0, 0, 0), (-3, 1, 0, 0, 0), (-1, 0, 0, 0, 0))\n",
      "((-2, 0, 0, 0, 0), (-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0))\n",
      "[-901.9550008653878, -350.6370585006307, 298.0449991346127]\n",
      "1\n",
      "-100.0\n",
      "[-901.9550008653878, -350.6370585006307, 298.0449991346127]\n",
      "((-2, 0, 0, 0, 0), (-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0))\n",
      "((-2, 0, 0, 0, 0), (-4, 0, 1, 0, 0), (-1, 0, 0, 0, 0))\n",
      "[-801.9550008653878, -415.64128700055267, 398.0449991346127]\n",
      "0\n",
      "None\n",
      "[-801.9550008653878, -415.64128700055267, 398.0449991346127]\n",
      "((-2, 0, 0, 0, 0), (-4, 0, 1, 0, 0), (-1, 0, 0, 0, 0))\n",
      "((-6, 1, 1, 0, 0), (-4, 0, 1, 0, 0), (-1, 0, 0, 0, 0))\n",
      "[-913.686286135166, -415.64128700055267, 398.0449991346127]\n",
      "0\n",
      "None\n",
      "[-913.686286135166, -415.64128700055267, 398.0449991346127]\n",
      "((-6, 1, 1, 0, 0), (-4, 0, 1, 0, 0), (-1, 0, 0, 0, 0))\n",
      "((-5, 0, 0, 1, 0), (-4, 0, 1, 0, 0), (-1, 0, 0, 0, 0))\n",
      "[-1033.129094396263, -415.64128700055267, 398.0449991346127]\n",
      "1\n",
      "None\n",
      "[-1033.129094396263, -415.64128700055267, 398.0449991346127]\n",
      "((-5, 0, 0, 1, 0), (-4, 0, 1, 0, 0), (-1, 0, 0, 0, 0))\n",
      "((-5, 0, 0, 1, 0), (-6, 1, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "[-1033.129094396263, -331.1740935308751, 398.0449991346127]\n",
      "0\n",
      "None\n",
      "[-1033.129094396263, -331.1740935308751, 398.0449991346127]\n",
      "((-5, 0, 0, 1, 0), (-6, 1, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "((-4, 1, 0, 0, 0), (-6, 1, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "[-1300.0000000000005, -331.1740935308751, 398.0449991346127]\n",
      "0\n",
      "-500.0\n",
      "[-1300.0000000000005, -331.1740935308751, 398.0449991346127]\n",
      "((-4, 1, 0, 0, 0), (-6, 1, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-6, 1, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "[84.35871299944688, 168.8259064691249, 898.0449991346127]\n",
      "0\n",
      "100.0\n",
      "[84.35871299944688, 168.8259064691249, 898.0449991346127]\n",
      "((-4, 0, 1, 0, 0), (-6, 1, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "((-6, 0, 0, 0, 1), (-6, 1, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "[-1050.6370585006312, 68.8259064691249, 798.0449991346127]\n",
      "1\n",
      "None\n",
      "[-1050.6370585006312, 68.8259064691249, 798.0449991346127]\n",
      "((-6, 0, 0, 0, 1), (-6, 1, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "((-6, 0, 0, 0, 1), (-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0))\n",
      "[-1050.6370585006312, 149.3629414993693, 798.0449991346127]\n",
      "2\n",
      "None\n",
      "[-1050.6370585006312, 149.3629414993693, 798.0449991346127]\n",
      "((-6, 0, 0, 0, 1), (-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0))\n",
      "((-6, 0, 0, 0, 1), (-5, 0, 0, 0, 1), (-6, 1, 0, 0, 1))\n",
      "[-1050.6370585006312, 149.3629414993693, 851.3179423647568]\n",
      "0\n",
      "-100.0\n",
      "[-1050.6370585006312, 149.3629414993693, 851.3179423647568]\n",
      "((-6, 0, 0, 0, 1), (-5, 0, 0, 0, 1), (-6, 1, 0, 0, 1))\n",
      "((-7, 1, 0, 0, 1), (-5, 0, 0, 0, 1), (-6, 1, 0, 0, 1))\n",
      "[-248.68205763524384, 249.3629414993693, 951.3179423647568]\n",
      "1\n",
      "None\n",
      "[-248.68205763524384, 249.3629414993693, 951.3179423647568]\n",
      "((-7, 1, 0, 0, 1), (-5, 0, 0, 0, 1), (-6, 1, 0, 0, 1))\n",
      "((-7, 1, 0, 0, 1), (-3, 1, 0, 0, 0), (-6, 1, 0, 0, 1))\n",
      "[-248.68205763524384, 400.0000000000002, 951.3179423647568]\n",
      "2\n",
      "None\n",
      "[-248.68205763524384, 400.0000000000002, 951.3179423647568]\n",
      "((-7, 1, 0, 0, 1), (-3, 1, 0, 0, 0), (-6, 1, 0, 0, 1))\n",
      "((-7, 1, 0, 0, 1), (-3, 1, 0, 0, 0), (-5, 1, 1, 0, 0))\n",
      "[-248.68205763524384, 400.0000000000002, 786.3137138648349]\n",
      "1\n",
      "700.0\n",
      "[-248.68205763524384, 400.0000000000002, 786.3137138648349]\n",
      "((-7, 1, 0, 0, 1), (-3, 1, 0, 0, 0), (-5, 1, 1, 0, 0))\n",
      "((-7, 1, 0, 0, 1), (-4, 0, 1, 0, 0), (-5, 1, 1, 0, 0))\n",
      "[-948.6820576352438, -615.6412870005527, 86.31371386483488]\n",
      "0\n",
      "-500.0\n",
      "[-948.6820576352438, -615.6412870005527, 86.31371386483488]\n",
      "((-7, 1, 0, 0, 1), (-4, 0, 1, 0, 0), (-5, 1, 1, 0, 0))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-5, 1, 1, 0, 0))\n",
      "[-346.81538053142776, -115.64128700055267, 586.3137138648349]\n",
      "2\n",
      "None\n",
      "[-346.81538053142776, -115.64128700055267, 586.3137138648349]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-5, 1, 1, 0, 0))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0))\n",
      "[-346.81538053142776, -115.64128700055267, 466.8709056037376]\n",
      "2\n",
      "1000.0\n",
      "[-346.81538053142776, -115.64128700055267, 466.8709056037376]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0))\n",
      "[-1346.8153805314278, -1115.6412870005527, -146.81538053142776]\n",
      "0\n",
      "-1100.0\n",
      "[-1346.8153805314278, -1115.6412870005527, -146.81538053142776]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0))\n",
      "((-2, 0, 0, 0, 0), (-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0))\n",
      "[-401.9550008653878, -15.641287000552666, 953.1846194685722]\n",
      "2\n",
      "1200.0\n",
      "[-401.9550008653878, -15.641287000552666, 953.1846194685722]\n",
      "((-2, 0, 0, 0, 0), (-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0))\n",
      "((-2, 0, 0, 0, 0), (-4, 0, 1, 0, 0), (-3, 0, 1, 0, 0))\n",
      "[-1601.9550008653878, -1215.6412870005527, -15.641287000552438]\n",
      "0\n",
      "-1300.0\n",
      "[-1601.9550008653878, -1215.6412870005527, -15.641287000552438]\n",
      "((-2, 0, 0, 0, 0), (-4, 0, 1, 0, 0), (-3, 0, 1, 0, 0))\n",
      "((-6, 1, 1, 0, 0), (-4, 0, 1, 0, 0), (-3, 0, 1, 0, 0))\n",
      "[-413.68628613516603, 84.35871299944733, 1284.3587129994476]\n",
      "1\n",
      "600.0\n",
      "[-413.68628613516603, 84.35871299944733, 1284.3587129994476]\n",
      "((-6, 1, 1, 0, 0), (-4, 0, 1, 0, 0), (-3, 0, 1, 0, 0))\n",
      "((-6, 1, 1, 0, 0), (-7, 0, 1, 0, 1), (-3, 0, 1, 0, 0))\n",
      "[-1013.686286135166, 35.67665536420418, 684.3587129994476]\n",
      "2\n",
      "600.0\n",
      "[-1013.686286135166, 35.67665536420418, 684.3587129994476]\n",
      "((-6, 1, 1, 0, 0), (-7, 0, 1, 0, 1), (-3, 0, 1, 0, 0))\n",
      "((-6, 1, 1, 0, 0), (-7, 0, 1, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[-1613.686286135166, -564.3233446357958, 249.3629414993694]\n",
      "1\n",
      "None\n",
      "[-1613.686286135166, -564.3233446357958, 249.3629414993694]\n",
      "((-6, 1, 1, 0, 0), (-7, 0, 1, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-6, 1, 1, 0, 0), (-3, 1, 0, 0, 0), (-4, 0, 0, 0, 1))\n",
      "[-1613.686286135166, -799.9999999999998, 249.3629414993694]\n",
      "2\n",
      "None\n",
      "[-1613.686286135166, -799.9999999999998, 249.3629414993694]\n",
      "((-6, 1, 1, 0, 0), (-3, 1, 0, 0, 0), (-4, 0, 0, 0, 1))\n",
      "((-6, 1, 1, 0, 0), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "[-1613.686286135166, -799.9999999999998, 168.82590646912513]\n",
      "1\n",
      "None\n",
      "[-1613.686286135166, -799.9999999999998, 168.82590646912513]\n",
      "((-6, 1, 1, 0, 0), (-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0))\n",
      "((-6, 1, 1, 0, 0), (-4, 0, 0, 1, 0), (-5, 1, 0, 1, 0))\n",
      "[-1613.686286135166, -533.1290943962624, 168.82590646912513]\n",
      "2\n",
      "None\n",
      "[-1613.686286135166, -533.1290943962624, 168.82590646912513]\n",
      "((-6, 1, 1, 0, 0), (-4, 0, 0, 1, 0), (-5, 1, 0, 1, 0))\n",
      "((-6, 1, 1, 0, 0), (-4, 0, 0, 1, 0), (-3, 0, 1, 0, 0))\n",
      "[-1613.686286135166, -533.1290943962624, 84.35871299944756]\n",
      "1\n",
      "-700.0\n",
      "[-1613.686286135166, -533.1290943962624, 84.35871299944756]\n",
      "((-6, 1, 1, 0, 0), (-4, 0, 0, 1, 0), (-3, 0, 1, 0, 0))\n",
      "((-6, 1, 1, 0, 0), (-7, 0, 1, 0, 1), (-3, 0, 1, 0, 0))\n",
      "[-913.686286135166, 135.67665536420418, 784.3587129994476]\n",
      "0\n",
      "None\n",
      "[-913.686286135166, 135.67665536420418, 784.3587129994476]\n",
      "((-6, 1, 1, 0, 0), (-7, 0, 1, 0, 1), (-3, 0, 1, 0, 0))\n",
      "((-2, 0, 0, 0, 0), (-7, 0, 1, 0, 1), (-3, 0, 1, 0, 0))\n",
      "[-801.9550008653878, 135.67665536420418, 784.3587129994476]\n",
      "2\n",
      "900.0\n",
      "[-801.9550008653878, 135.67665536420418, 784.3587129994476]\n",
      "((-2, 0, 0, 0, 0), (-7, 0, 1, 0, 1), (-3, 0, 1, 0, 0))\n",
      "((-2, 0, 0, 0, 0), (-7, 0, 1, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[-1701.9550008653878, -764.3233446357958, 49.36294149936941]\n",
      "0\n",
      "None\n",
      "[-1701.9550008653878, -764.3233446357958, 49.36294149936941]\n",
      "((-2, 0, 0, 0, 0), (-7, 0, 1, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-7, 1, 0, 0, 1), (-7, 0, 1, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[-1648.6820576352438, -764.3233446357958, 49.36294149936941]\n",
      "0\n",
      "-1600.0\n",
      "[-1648.6820576352438, -764.3233446357958, 49.36294149936941]\n",
      "((-7, 1, 0, 0, 1), (-7, 0, 1, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-8, 0, 0, 1, 1), (-7, 0, 1, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[218.18884796849352, 835.6766553642042, 1649.3629414993693]\n",
      "1\n",
      "500.0\n",
      "[218.18884796849352, 835.6766553642042, 1649.3629414993693]\n",
      "((-8, 0, 0, 1, 1), (-7, 0, 1, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-8, 0, 0, 1, 1), (-4, 0, 0, 1, 0), (-4, 0, 0, 0, 1))\n",
      "[-281.8111520315065, 366.8709056037376, 1149.3629414993693]\n",
      "1\n",
      "100.0\n",
      "[-281.8111520315065, 366.8709056037376, 1149.3629414993693]\n",
      "((-8, 0, 0, 1, 1), (-4, 0, 0, 1, 0), (-4, 0, 0, 0, 1))\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[-381.8111520315065, -150.6370585006307, 1049.3629414993693]\n",
      "2\n",
      "None\n",
      "[-381.8111520315065, -150.6370585006307, 1049.3629414993693]\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-7, 0, 0, 1, 1))\n",
      "[-381.8111520315065, -150.6370585006307, 818.1888479684943]\n",
      "2\n",
      "None\n",
      "[-381.8111520315065, -150.6370585006307, 818.1888479684943]\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-7, 0, 0, 1, 1))\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-6, 1, 0, 0, 1))\n",
      "[-381.8111520315065, -150.6370585006307, 551.3179423647568]\n",
      "2\n",
      "900.0\n",
      "[-381.8111520315065, -150.6370585006307, 551.3179423647568]\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-6, 1, 0, 0, 1))\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0))\n",
      "[-1281.8111520315065, -1050.6370585006307, -401.9550008653873]\n",
      "0\n",
      "-1400.0\n",
      "[-1281.8111520315065, -1050.6370585006307, -401.9550008653873]\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0))\n",
      "[184.35871299944688, 349.3629414993693, 998.0449991346127]\n",
      "1\n",
      "700.0\n",
      "[184.35871299944688, 349.3629414993693, 998.0449991346127]\n",
      "((-4, 0, 1, 0, 0), (-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-7, 0, 1, 0, 1), (-1, 0, 0, 0, 0))\n",
      "[-515.6412870005531, 35.67665536420418, 298.0449991346127]\n",
      "1\n",
      "-100.0\n",
      "[-515.6412870005531, 35.67665536420418, 298.0449991346127]\n",
      "((-4, 0, 1, 0, 0), (-7, 0, 1, 0, 1), (-1, 0, 0, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "[-415.6412870005531, 166.87090560373758, 398.0449991346127]\n",
      "2\n",
      "None\n",
      "[-415.6412870005531, 166.87090560373758, 398.0449991346127]\n",
      "((-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0), (-5, 1, 1, 0, 0))\n",
      "[-415.6412870005531, 166.87090560373758, 286.3137138648349]\n",
      "2\n",
      "None\n",
      "[-415.6412870005531, 166.87090560373758, 286.3137138648349]\n",
      "((-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0), (-5, 1, 1, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0), (-6, 0, 1, 1, 0))\n",
      "[-415.6412870005531, 166.87090560373758, 553.1846194685722]\n",
      "2\n",
      "None\n",
      "[-415.6412870005531, 166.87090560373758, 553.1846194685722]\n",
      "((-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0), (-6, 0, 1, 1, 0))\n",
      "((-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0), (-7, 0, 0, 1, 1))\n",
      "[-415.6412870005531, 166.87090560373758, 718.1888479684943]\n",
      "2\n",
      "700.0\n",
      "[-415.6412870005531, 166.87090560373758, 718.1888479684943]\n",
      "((-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0), (-7, 0, 0, 1, 1))\n",
      "((-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0), (-5, 1, 0, 1, 0))\n",
      "[-1115.6412870005531, -533.1290943962624, 168.82590646912502]\n",
      "2\n",
      "-200.0\n",
      "[-1115.6412870005531, -533.1290943962624, 168.82590646912502]\n",
      "((-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0), (-5, 1, 0, 1, 0))\n",
      "((-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "[-915.6412870005531, -333.1290943962624, -101.95500086538732]\n",
      "2\n",
      "100.0\n",
      "[-915.6412870005531, -333.1290943962624, -101.95500086538732]\n",
      "((-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0), (-5, 1, 1, 0, 0))\n",
      "[-1015.6412870005531, -433.1290943962624, -313.6862861351651]\n",
      "0\n",
      "None\n",
      "[-1015.6412870005531, -433.1290943962624, -313.6862861351651]\n",
      "((-4, 0, 1, 0, 0), (-4, 0, 0, 1, 0), (-5, 1, 1, 0, 0))\n",
      "((-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0), (-5, 1, 1, 0, 0))\n",
      "[-931.1740935308756, -433.1290943962624, -313.6862861351651]\n",
      "0\n",
      "None\n",
      "[-931.1740935308756, -433.1290943962624, -313.6862861351651]\n",
      "((-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0), (-5, 1, 1, 0, 0))\n",
      "((-8, 0, 0, 1, 1), (-4, 0, 0, 1, 0), (-5, 1, 1, 0, 0))\n",
      "[-1081.8111520315065, -433.1290943962624, -313.6862861351651]\n",
      "0\n",
      "None\n",
      "[-1081.8111520315065, -433.1290943962624, -313.6862861351651]\n",
      "((-8, 0, 0, 1, 1), (-4, 0, 0, 1, 0), (-5, 1, 1, 0, 0))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (-5, 1, 1, 0, 0))\n",
      "[-1246.8153805314278, -433.1290943962624, -313.6862861351651]\n",
      "2\n",
      "200.0\n",
      "[-1246.8153805314278, -433.1290943962624, -313.6862861351651]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (-5, 1, 1, 0, 0))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (-3, 0, 1, 0, 0))\n",
      "[-1446.8153805314278, -633.1290943962624, -15.641287000552552]\n",
      "0\n",
      "-1200.0\n",
      "[-1446.8153805314278, -633.1290943962624, -15.641287000552552]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (-3, 0, 1, 0, 0))\n",
      "((-2, 0, 0, 0, 0), (-4, 0, 0, 1, 0), (-3, 0, 1, 0, 0))\n",
      "[-401.9550008653878, 566.8709056037376, 1184.3587129994476]\n",
      "2\n",
      "1100.0\n",
      "[-401.9550008653878, 566.8709056037376, 1184.3587129994476]\n",
      "((-2, 0, 0, 0, 0), (-4, 0, 0, 1, 0), (-3, 0, 1, 0, 0))\n",
      "((-2, 0, 0, 0, 0), (-4, 0, 0, 1, 0), (-7, 0, 0, 1, 1))\n",
      "[-1501.9550008653878, -533.1290943962624, 18.18884796849443]\n",
      "0\n",
      "-1200.0\n",
      "[-1501.9550008653878, -533.1290943962624, 18.18884796849443]\n",
      "((-2, 0, 0, 0, 0), (-4, 0, 0, 1, 0), (-7, 0, 0, 1, 1))\n",
      "((-8, 0, 0, 1, 1), (-4, 0, 0, 1, 0), (-7, 0, 0, 1, 1))\n",
      "[18.18884796849352, 666.8709056037376, 1218.1888479684944]\n",
      "0\n",
      "None\n",
      "[18.18884796849352, 666.8709056037376, 1218.1888479684944]\n",
      "((-8, 0, 0, 1, 1), (-4, 0, 0, 1, 0), (-7, 0, 0, 1, 1))\n",
      "((-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0), (-7, 0, 0, 1, 1))\n",
      "[168.82590646912445, 666.8709056037376, 1218.1888479684944]\n",
      "0\n",
      "None\n",
      "[168.82590646912445, 666.8709056037376, 1218.1888479684944]\n",
      "((-6, 1, 0, 1, 0), (-4, 0, 0, 1, 0), (-7, 0, 0, 1, 1))\n",
      "((-5, 0, 0, 0, 1), (-4, 0, 0, 1, 0), (-7, 0, 0, 1, 1))\n",
      "[249.36294149936884, 666.8709056037376, 1218.1888479684944]\n",
      "0\n",
      "100.0\n",
      "[249.36294149936884, 666.8709056037376, 1218.1888479684944]\n",
      "((-5, 0, 0, 0, 1), (-4, 0, 0, 1, 0), (-7, 0, 0, 1, 1))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (-7, 0, 0, 1, 1))\n",
      "[-246.81538053142776, 566.8709056037376, 1118.1888479684944]\n",
      "1\n",
      "None\n",
      "[-246.81538053142776, 566.8709056037376, 1118.1888479684944]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 0, 1, 0), (-7, 0, 0, 1, 1))\n",
      "((-7, 0, 1, 1, 0), (-5, 0, 0, 0, 1), (-7, 0, 0, 1, 1))\n",
      "[-246.81538053142776, 149.3629414993693, 1118.1888479684944]\n",
      "1\n",
      "None\n",
      "[-246.81538053142776, 149.3629414993693, 1118.1888479684944]\n",
      "((-7, 0, 1, 1, 0), (-5, 0, 0, 0, 1), (-7, 0, 0, 1, 1))\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-7, 0, 0, 1, 1))\n",
      "[-246.81538053142776, -15.641287000552666, 1118.1888479684944]\n",
      "0\n",
      "100.0\n",
      "[-246.81538053142776, -15.641287000552666, 1118.1888479684944]\n",
      "((-7, 0, 1, 1, 0), (-4, 0, 1, 0, 0), (-7, 0, 0, 1, 1))\n",
      "((-2, 0, 0, 0, 0), (-4, 0, 1, 0, 0), (-7, 0, 0, 1, 1))\n",
      "[-501.9550008653878, -115.64128700055267, 1018.1888479684944]\n",
      "1\n",
      "None\n",
      "[-501.9550008653878, -115.64128700055267, 1018.1888479684944]\n",
      "((-2, 0, 0, 0, 0), (-4, 0, 1, 0, 0), (-7, 0, 0, 1, 1))\n",
      "((-2, 0, 0, 0, 0), (-3, 1, 0, 0, 0), (-7, 0, 0, 1, 1))\n",
      "[-501.9550008653878, 200.00000000000023, 1018.1888479684944]\n",
      "1\n",
      "400.0\n",
      "[-501.9550008653878, 200.00000000000023, 1018.1888479684944]\n",
      "((-2, 0, 0, 0, 0), (-3, 1, 0, 0, 0), (-7, 0, 0, 1, 1))\n",
      "((-2, 0, 0, 0, 0), (-4, 0, 0, 1, 0), (-7, 0, 0, 1, 1))\n",
      "[-901.9550008653878, 66.87090560373758, 618.1888479684944]\n",
      "1\n",
      "100.0\n",
      "[-901.9550008653878, 66.87090560373758, 618.1888479684944]\n",
      "((-2, 0, 0, 0, 0), (-4, 0, 0, 1, 0), (-7, 0, 0, 1, 1))\n",
      "((-2, 0, 0, 0, 0), (-5, 0, 0, 0, 1), (-7, 0, 0, 1, 1))\n",
      "[-1001.9550008653878, -450.6370585006307, 518.1888479684944]\n",
      "0\n",
      "None\n",
      "[-1001.9550008653878, -450.6370585006307, 518.1888479684944]\n",
      "((-2, 0, 0, 0, 0), (-5, 0, 0, 0, 1), (-7, 0, 0, 1, 1))\n",
      "((-7, 1, 0, 0, 1), (-5, 0, 0, 0, 1), (-7, 0, 0, 1, 1))\n",
      "[-948.6820576352438, -450.6370585006307, 518.1888479684944]\n",
      "2\n",
      "None\n",
      "[-948.6820576352438, -450.6370585006307, 518.1888479684944]\n",
      "((-7, 1, 0, 0, 1), (-5, 0, 0, 0, 1), (-7, 0, 0, 1, 1))\n",
      "((-7, 1, 0, 0, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[-948.6820576352438, -450.6370585006307, 749.3629414993694]\n",
      "0\n",
      "None\n",
      "[-948.6820576352438, -450.6370585006307, 749.3629414993694]\n",
      "((-7, 1, 0, 0, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[-681.8111520315065, -450.6370585006307, 749.3629414993694]\n",
      "0\n",
      "-900.0\n",
      "[-681.8111520315065, -450.6370585006307, 749.3629414993694]\n",
      "((-8, 0, 0, 1, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-8, 0, 1, 0, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "[-364.3233446357963, 449.3629414993693, 1649.3629414993693]\n",
      "2\n",
      "None\n",
      "[-364.3233446357963, 449.3629414993693, 1649.3629414993693]\n",
      "((-8, 0, 1, 0, 1), (-5, 0, 0, 0, 1), (-4, 0, 0, 0, 1))\n",
      "((-8, 0, 1, 0, 1), (-5, 0, 0, 0, 1), (-3, 0, 1, 0, 0))\n",
      "[-364.3233446357963, 449.3629414993693, 1484.3587129994476]\n",
      "2\n",
      "None\n",
      "[-364.3233446357963, 449.3629414993693, 1484.3587129994476]\n",
      "((-8, 0, 1, 0, 1), (-5, 0, 0, 0, 1), (-3, 0, 1, 0, 0))\n",
      "((-8, 0, 1, 0, 1), (-5, 0, 0, 0, 1), (-7, 0, 0, 1, 1))\n",
      "[-364.3233446357963, 449.3629414993693, 1418.1888479684944]\n",
      "2\n",
      "1500.0\n",
      "[-364.3233446357963, 449.3629414993693, 1418.1888479684944]\n",
      "((-8, 0, 1, 0, 1), (-5, 0, 0, 0, 1), (-7, 0, 0, 1, 1))\n",
      "((-8, 0, 1, 0, 1), (-5, 0, 0, 0, 1), (-6, 1, 0, 0, 1))\n",
      "[-1864.3233446357963, -1050.6370585006307, -348.6820576352429]\n",
      "1\n",
      "None\n",
      "[-1864.3233446357963, -1050.6370585006307, -348.6820576352429]\n",
      "((-8, 0, 1, 0, 1), (-5, 0, 0, 0, 1), (-6, 1, 0, 0, 1))\n",
      "((-8, 0, 1, 0, 1), (-3, 1, 0, 0, 0), (-6, 1, 0, 0, 1))\n",
      "[-1864.3233446357963, -899.9999999999998, -348.6820576352429]\n",
      "1\n",
      "None\n",
      "[-1864.3233446357963, -899.9999999999998, -348.6820576352429]\n",
      "((-8, 0, 1, 0, 1), (-3, 1, 0, 0, 0), (-6, 1, 0, 0, 1))\n",
      "((-8, 0, 1, 0, 1), (-4, 0, 1, 0, 0), (-6, 1, 0, 0, 1))\n",
      "[-1864.3233446357963, -1215.6412870005527, -348.6820576352429]\n",
      "1\n",
      "-1000.0\n",
      "[-1864.3233446357963, -1215.6412870005527, -348.6820576352429]\n",
      "((-8, 0, 1, 0, 1), (-4, 0, 1, 0, 0), (-6, 1, 0, 0, 1))\n",
      "((-8, 0, 1, 0, 1), (-4, 0, 1, 0, 0), (-6, 1, 0, 0, 1))\n",
      "[-1864.3233446357963, -1215.6412870005527, -348.6820576352429]\n",
      "2\n",
      "1100.0\n",
      "[-1864.3233446357963, -1215.6412870005527, -348.6820576352429]\n",
      "((-8, 0, 1, 0, 1), (-4, 0, 1, 0, 0), (-6, 1, 0, 0, 1))\n",
      "((-8, 0, 1, 0, 1), (-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0))\n",
      "[-2964.3233446357963, -2315.6412870005524, -1346.8153805314275]\n",
      "1\n",
      "None\n",
      "[-2964.3233446357963, -2315.6412870005524, -1346.8153805314275]\n",
      "((-8, 0, 1, 0, 1), (-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0))\n",
      "((-8, 0, 1, 0, 1), (-5, 0, 0, 0, 1), (-6, 0, 1, 1, 0))\n",
      "[-2964.3233446357963, -2150.6370585006307, -1346.8153805314275]\n",
      "2\n",
      "None\n",
      "[-2964.3233446357963, -2150.6370585006307, -1346.8153805314275]\n",
      "((-8, 0, 1, 0, 1), (-5, 0, 0, 0, 1), (-6, 0, 1, 1, 0))\n",
      "((-8, 0, 1, 0, 1), (-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0))\n",
      "[-2964.3233446357963, -2150.6370585006307, -1501.955000865387]\n",
      "1\n",
      "None\n",
      "[-2964.3233446357963, -2150.6370585006307, -1501.955000865387]\n",
      "((-8, 0, 1, 0, 1), (-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0))\n",
      "((-8, 0, 1, 0, 1), (-3, 1, 0, 0, 0), (-1, 0, 0, 0, 0))\n",
      "[-2964.3233446357963, -1999.9999999999998, -1501.955000865387]\n",
      "2\n",
      "None\n",
      "[-2964.3233446357963, -1999.9999999999998, -1501.955000865387]\n",
      "((-8, 0, 1, 0, 1), (-3, 1, 0, 0, 0), (-1, 0, 0, 0, 0))\n",
      "((-8, 0, 1, 0, 1), (-3, 1, 0, 0, 0), (-6, 1, 0, 0, 1))\n",
      "[-2964.3233446357963, -1999.9999999999998, -1448.682057635243]\n",
      "1\n",
      "None\n",
      "[-2964.3233446357963, -1999.9999999999998, -1448.682057635243]\n",
      "((-8, 0, 1, 0, 1), (-3, 1, 0, 0, 0), (-6, 1, 0, 0, 1))\n",
      "((-8, 0, 1, 0, 1), (-4, 0, 1, 0, 0), (-6, 1, 0, 0, 1))\n",
      "[-2964.3233446357963, -2315.6412870005524, -1448.682057635243]\n",
      "2\n",
      "None\n",
      "[-2964.3233446357963, -2315.6412870005524, -1448.682057635243]\n",
      "((-8, 0, 1, 0, 1), (-4, 0, 1, 0, 0), (-6, 1, 0, 0, 1))\n",
      "((-8, 0, 1, 0, 1), (-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0))\n",
      "[-2964.3233446357963, -2315.6412870005524, -1346.8153805314275]\n",
      "2\n",
      "-400.0\n",
      "[-2964.3233446357963, -2315.6412870005524, -1346.8153805314275]\n",
      "((-8, 0, 1, 0, 1), (-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0))\n",
      "((-8, 0, 1, 0, 1), (-4, 0, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "[-2564.3233446357963, -1915.6412870005524, -13.686286135164892]\n",
      "1\n",
      "0.0\n",
      "[-2564.3233446357963, -1915.6412870005524, -13.686286135164892]\n",
      "((-8, 0, 1, 0, 1), (-4, 0, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "((-8, 0, 1, 0, 1), (-5, 0, 0, 0, 1), (-4, 1, 1, 0, 0))\n",
      "[-2564.3233446357963, -1750.6370585006305, -13.686286135164892]\n",
      "1\n",
      "-200.0\n",
      "[-2564.3233446357963, -1750.6370585006305, -13.686286135164892]\n",
      "((-8, 0, 1, 0, 1), (-5, 0, 0, 0, 1), (-4, 1, 1, 0, 0))\n",
      "((-8, 0, 1, 0, 1), (-3, 1, 0, 0, 0), (-4, 1, 1, 0, 0))\n",
      "[-2364.3233446357963, -1399.9999999999995, 186.3137138648351]\n",
      "1\n",
      "-100.0\n",
      "[-2364.3233446357963, -1399.9999999999995, 186.3137138648351]\n",
      "((-8, 0, 1, 0, 1), (-3, 1, 0, 0, 0), (-4, 1, 1, 0, 0))\n",
      "((-8, 0, 1, 0, 1), (-3, 0, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "[-2264.3233446357963, -415.6412870005523, 286.3137138648351]\n",
      "0\n",
      "None\n",
      "[-2264.3233446357963, -415.6412870005523, 286.3137138648351]\n",
      "((-8, 0, 1, 0, 1), (-3, 0, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "((-6, 1, 1, 0, 0), (-3, 0, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "[-2113.686286135166, -415.6412870005523, 286.3137138648351]\n",
      "1\n",
      "-200.0\n",
      "[-2113.686286135166, -415.6412870005523, 286.3137138648351]\n",
      "((-6, 1, 1, 0, 0), (-3, 0, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "((-6, 1, 1, 0, 0), (-2, 1, 0, 0, 0), (-4, 1, 1, 0, 0))\n",
      "[-1913.686286135166, 100.00000000000034, 486.3137138648351]\n",
      "0\n",
      "None\n",
      "[-1913.686286135166, 100.00000000000034, 486.3137138648351]\n",
      "((-6, 1, 1, 0, 0), (-2, 1, 0, 0, 0), (-4, 1, 1, 0, 0))\n",
      "((-2, 0, 0, 0, 0), (-2, 1, 0, 0, 0), (-4, 1, 1, 0, 0))\n",
      "[-1801.9550008653878, 100.00000000000034, 486.3137138648351]\n",
      "0\n",
      "None\n",
      "[-1801.9550008653878, 100.00000000000034, 486.3137138648351]\n",
      "((-2, 0, 0, 0, 0), (-2, 1, 0, 0, 0), (-4, 1, 1, 0, 0))\n",
      "((-7, 1, 0, 0, 1), (-2, 1, 0, 0, 0), (-4, 1, 1, 0, 0))\n",
      "[-1748.6820576352438, 100.00000000000034, 486.3137138648351]\n",
      "0\n",
      "0.0\n",
      "[-1748.6820576352438, 100.00000000000034, 486.3137138648351]\n",
      "((-7, 1, 0, 0, 1), (-2, 1, 0, 0, 0), (-4, 1, 1, 0, 0))\n",
      "((-3, 1, 0, 0, 0), (-2, 1, 0, 0, 0), (-4, 1, 1, 0, 0))\n",
      "[-1100.0000000000002, 100.00000000000034, 486.3137138648351]\n",
      "1\n",
      "200.0\n",
      "[-1100.0000000000002, 100.00000000000034, 486.3137138648351]\n",
      "((-3, 1, 0, 0, 0), (-2, 1, 0, 0, 0), (-4, 1, 1, 0, 0))\n",
      "((-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0), (-4, 1, 1, 0, 0))\n",
      "[-1300.0000000000002, -331.17409353087476, 286.3137138648351]\n",
      "0\n",
      "-400.0\n",
      "[-1300.0000000000002, -331.17409353087476, 286.3137138648351]\n",
      "((-3, 1, 0, 0, 0), (-5, 1, 0, 1, 0), (-4, 1, 1, 0, 0))\n",
      "((-3, 0, 1, 0, 0), (-5, 1, 0, 1, 0), (-4, 1, 1, 0, 0))\n",
      "[-15.641287000553007, 68.82590646912524, 686.3137138648351]\n",
      "2\n",
      "None\n",
      "[-15.641287000553007, 68.82590646912524, 686.3137138648351]\n",
      "((-3, 0, 1, 0, 0), (-5, 1, 0, 1, 0), (-4, 1, 1, 0, 0))\n",
      "((-3, 0, 1, 0, 0), (-5, 1, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "[-15.641287000553007, 68.82590646912524, 566.8709056037378]\n",
      "0\n",
      "-100.0\n",
      "[-15.641287000553007, 68.82590646912524, 566.8709056037378]\n",
      "((-3, 0, 1, 0, 0), (-5, 1, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "((-7, 0, 0, 1, 1), (-5, 1, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "[18.18884796849386, 168.82590646912524, 666.8709056037378]\n",
      "0\n",
      "-200.0\n",
      "[18.18884796849386, 168.82590646912524, 666.8709056037378]\n",
      "((-7, 0, 0, 1, 1), (-5, 1, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "((-6, 0, 1, 1, 0), (-5, 1, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "[53.18461946857178, 368.82590646912524, 866.8709056037378]\n",
      "2\n",
      "None\n",
      "[53.18461946857178, 368.82590646912524, 866.8709056037378]\n",
      "((-6, 0, 1, 1, 0), (-5, 1, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "((-6, 0, 1, 1, 0), (-5, 1, 0, 1, 0), (-2, 1, 0, 0, 0))\n",
      "[53.18461946857178, 368.82590646912524, 600.0000000000003]\n",
      "2\n",
      "None\n",
      "[53.18461946857178, 368.82590646912524, 600.0000000000003]\n",
      "((-6, 0, 1, 1, 0), (-5, 1, 0, 1, 0), (-2, 1, 0, 0, 0))\n",
      "((-6, 0, 1, 1, 0), (-5, 1, 0, 1, 0), (-2, 0, 1, 0, 0))\n",
      "[53.18461946857178, 368.82590646912524, 1484.3587129994476]\n",
      "2\n",
      "1700.0\n",
      "[53.18461946857178, 368.82590646912524, 1484.3587129994476]\n",
      "((-6, 0, 1, 1, 0), (-5, 1, 0, 1, 0), (-2, 0, 1, 0, 0))\n",
      "((-6, 0, 1, 1, 0), (-5, 1, 0, 1, 0), (-1, 1, 0, 0, 0))\n",
      "[-1646.8153805314282, -1331.1740935308749, 100.00000000000023]\n",
      "0\n",
      "-1500.0\n",
      "[-1646.8153805314282, -1331.1740935308749, 100.00000000000023]\n",
      "((-6, 0, 1, 1, 0), (-5, 1, 0, 1, 0), (-1, 1, 0, 0, 0))\n",
      "((-6, 1, 0, 0, 1), (-5, 1, 0, 1, 0), (-1, 1, 0, 0, 0))\n",
      "[-248.6820576352436, 168.82590646912513, 1600.0000000000002]\n",
      "0\n",
      "-200.0\n",
      "[-248.6820576352436, 168.82590646912513, 1600.0000000000002]\n",
      "((-6, 1, 0, 0, 1), (-5, 1, 0, 1, 0), (-1, 1, 0, 0, 0))\n",
      "((-1, 0, 0, 0, 0), (-5, 1, 0, 1, 0), (-1, 1, 0, 0, 0))\n",
      "[-101.95500086538777, 368.82590646912513, 1800.0000000000002]\n",
      "2\n",
      "1500.0\n",
      "[-101.95500086538777, 368.82590646912513, 1800.0000000000002]\n",
      "((-1, 0, 0, 0, 0), (-5, 1, 0, 1, 0), (-1, 1, 0, 0, 0))\n",
      "((-1, 0, 0, 0, 0), (-5, 1, 0, 1, 0), (-3, 0, 0, 0, 1))\n",
      "[-1601.9550008653878, -1131.1740935308749, 149.36294149936953]\n",
      "2\n",
      "-100.0\n",
      "[-1601.9550008653878, -1131.1740935308749, 149.36294149936953]\n",
      "((-1, 0, 0, 0, 0), (-5, 1, 0, 1, 0), (-3, 0, 0, 0, 1))\n",
      "((-1, 0, 0, 0, 0), (-5, 1, 0, 1, 0), (-2, 0, 1, 0, 0))\n",
      "[-1501.9550008653878, -1031.1740935308749, 84.35871299944762]\n",
      "2\n",
      "-200.0\n",
      "[-1501.9550008653878, -1031.1740935308749, 84.35871299944762]\n",
      "((-1, 0, 0, 0, 0), (-5, 1, 0, 1, 0), (-2, 0, 1, 0, 0))\n",
      "((-1, 0, 0, 0, 0), (-5, 1, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "[-1301.9550008653878, -831.1740935308749, -333.1290943962624]\n",
      "2\n",
      "200.0\n",
      "[-1301.9550008653878, -831.1740935308749, -333.1290943962624]\n",
      "((-1, 0, 0, 0, 0), (-5, 1, 0, 1, 0), (-3, 0, 0, 1, 0))\n",
      "((-1, 0, 0, 0, 0), (-5, 1, 0, 1, 0), (-2, 1, 0, 0, 0))\n",
      "[-1501.9550008653878, -1031.1740935308749, -799.9999999999999]\n",
      "2\n",
      "-200.0\n",
      "[-1501.9550008653878, -1031.1740935308749, -799.9999999999999]\n",
      "((-1, 0, 0, 0, 0), (-5, 1, 0, 1, 0), (-2, 1, 0, 0, 0))\n",
      "((-1, 0, 0, 0, 0), (-5, 1, 0, 1, 0), (-4, 0, 0, 0, 1))\n",
      "[-1301.9550008653878, -831.1740935308749, -750.6370585006307]\n",
      "1\n",
      "-900.0\n",
      "[-1301.9550008653878, -831.1740935308749, -750.6370585006307]\n",
      "((-1, 0, 0, 0, 0), (-5, 1, 0, 1, 0), (-4, 0, 0, 0, 1))\n",
      "((-1, 0, 0, 0, 0), (-3, 0, 1, 0, 0), (-4, 0, 0, 0, 1))\n",
      "[-401.9550008653878, -15.641287000552438, 149.3629414993693]\n",
      "0\n",
      "None\n",
      "[-401.9550008653878, -15.641287000552438, 149.3629414993693]\n",
      "((-1, 0, 0, 0, 0), (-3, 0, 1, 0, 0), (-4, 0, 0, 0, 1))\n",
      "((-6, 1, 0, 0, 1), (-3, 0, 1, 0, 0), (-4, 0, 0, 0, 1))\n",
      "[-348.6820576352436, -15.641287000552438, 149.3629414993693]\n",
      "0\n",
      "None\n",
      "[-348.6820576352436, -15.641287000552438, 149.3629414993693]\n",
      "((-6, 1, 0, 0, 1), (-3, 0, 1, 0, 0), (-4, 0, 0, 0, 1))\n",
      "((-6, 0, 1, 1, 0), (-3, 0, 1, 0, 0), (-4, 0, 0, 0, 1))\n",
      "[-246.81538053142822, -15.641287000552438, 149.3629414993693]\n",
      "1\n",
      "-100.0\n",
      "[-246.81538053142822, -15.641287000552438, 149.3629414993693]\n",
      "((-6, 0, 1, 1, 0), (-3, 0, 1, 0, 0), (-4, 0, 0, 0, 1))\n",
      "((-6, 0, 1, 1, 0), (-7, 0, 0, 1, 1), (-4, 0, 0, 0, 1))\n",
      "[-146.81538053142822, 18.18884796849443, 249.3629414993693]\n",
      "0\n",
      "None\n",
      "[-146.81538053142822, 18.18884796849443, 249.3629414993693]\n",
      "((-6, 0, 1, 1, 0), (-7, 0, 0, 1, 1), (-4, 0, 0, 0, 1))\n",
      "((-4, 0, 0, 1, 0), (-7, 0, 0, 1, 1), (-4, 0, 0, 0, 1))\n",
      "[-533.1290943962629, 18.18884796849443, 249.3629414993693]\n",
      "1\n",
      "100.0\n",
      "[-533.1290943962629, 18.18884796849443, 249.3629414993693]\n",
      "((-4, 0, 0, 1, 0), (-7, 0, 0, 1, 1), (-4, 0, 0, 0, 1))\n",
      "((-4, 0, 0, 1, 0), (-5, 1, 0, 1, 0), (-4, 0, 0, 0, 1))\n",
      "[-633.1290943962629, 68.82590646912513, 149.3629414993693]\n",
      "2\n",
      "None\n",
      "[-633.1290943962629, 68.82590646912513, 149.3629414993693]\n",
      "((-4, 0, 0, 1, 0), (-5, 1, 0, 1, 0), (-4, 0, 0, 0, 1))\n",
      "((-4, 0, 0, 1, 0), (-5, 1, 0, 1, 0), (-2, 1, 0, 0, 0))\n",
      "[-633.1290943962629, 68.82590646912513, 300.0000000000001]\n",
      "1\n",
      "200.0\n",
      "[-633.1290943962629, 68.82590646912513, 300.0000000000001]\n",
      "((-4, 0, 0, 1, 0), (-5, 1, 0, 1, 0), (-2, 1, 0, 0, 0))\n",
      "((-4, 0, 0, 1, 0), (-6, 0, 1, 1, 0), (-2, 1, 0, 0, 0))\n",
      "[-833.1290943962629, -446.81538053142765, 100.00000000000011]\n",
      "0\n",
      "-700.0\n",
      "[-833.1290943962629, -446.81538053142765, 100.00000000000011]\n",
      "((-4, 0, 0, 1, 0), (-6, 0, 1, 1, 0), (-2, 1, 0, 0, 0))\n",
      "((-5, 1, 1, 0, 0), (-6, 0, 1, 1, 0), (-2, 1, 0, 0, 0))\n",
      "[-13.686286135165574, 253.18461946857235, 800.0000000000001]\n",
      "2\n",
      "None\n",
      "[-13.686286135165574, 253.18461946857235, 800.0000000000001]\n",
      "((-5, 1, 1, 0, 0), (-6, 0, 1, 1, 0), (-2, 1, 0, 0, 0))\n",
      "((-5, 1, 1, 0, 0), (-6, 0, 1, 1, 0), (-3, 0, 0, 1, 0))\n",
      "[-13.686286135165574, 253.18461946857235, 1066.8709056037376]\n",
      "2\n",
      "1200.0\n",
      "[-13.686286135165574, 253.18461946857235, 1066.8709056037376]\n",
      "((-5, 1, 1, 0, 0), (-6, 0, 1, 1, 0), (-3, 0, 0, 1, 0))\n",
      "((-5, 1, 1, 0, 0), (-6, 0, 1, 1, 0), (-2, 0, 1, 0, 0))\n",
      "[-1213.6862861351656, -946.8153805314276, 484.35871299944756]\n",
      "0\n",
      "None\n",
      "[-1213.6862861351656, -946.8153805314276, 484.35871299944756]\n",
      "((-5, 1, 1, 0, 0), (-6, 0, 1, 1, 0), (-2, 0, 1, 0, 0))\n",
      "((-1, 0, 0, 0, 0), (-6, 0, 1, 1, 0), (-2, 0, 1, 0, 0))\n",
      "[-1101.9550008653878, -946.8153805314276, 484.35871299944756]\n",
      "0\n",
      "None\n",
      "[-1101.9550008653878, -946.8153805314276, 484.35871299944756]\n",
      "((-1, 0, 0, 0, 0), (-6, 0, 1, 1, 0), (-2, 0, 1, 0, 0))\n",
      "((-4, 0, 0, 1, 0), (-6, 0, 1, 1, 0), (-2, 0, 1, 0, 0))\n",
      "[-1333.1290943962629, -946.8153805314276, 484.35871299944756]\n",
      "0\n",
      "-1300.0\n",
      "[-1333.1290943962629, -946.8153805314276, 484.35871299944756]\n",
      "((-4, 0, 0, 1, 0), (-6, 0, 1, 1, 0), (-2, 0, 1, 0, 0))\n",
      "((-7, 0, 1, 0, 1), (-6, 0, 1, 1, 0), (-2, 0, 1, 0, 0))\n",
      "[-64.32334463579627, 353.18461946857235, 1784.3587129994476]\n",
      "0\n",
      "100.0\n",
      "[-64.32334463579627, 353.18461946857235, 1784.3587129994476]\n",
      "((-7, 0, 1, 0, 1), (-6, 0, 1, 1, 0), (-2, 0, 1, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0), (-2, 0, 1, 0, 0))\n",
      "[-715.6412870005531, 253.18461946857235, 1684.3587129994476]\n",
      "2\n",
      "None\n",
      "[-715.6412870005531, 253.18461946857235, 1684.3587129994476]\n",
      "((-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0), (-2, 0, 1, 0, 0))\n",
      "((-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0), (-5, 0, 1, 1, 0))\n",
      "[-715.6412870005531, 253.18461946857235, 1453.1846194685725]\n",
      "0\n",
      "200.0\n",
      "[-715.6412870005531, 253.18461946857235, 1453.1846194685725]\n",
      "((-4, 0, 1, 0, 0), (-6, 0, 1, 1, 0), (-5, 0, 1, 1, 0))\n",
      "((-5, 0, 0, 1, 0), (-6, 0, 1, 1, 0), (-5, 0, 1, 1, 0))\n",
      "[-1533.129094396263, 53.18461946857235, 1253.1846194685725]\n",
      "2\n",
      "None\n",
      "[-1533.129094396263, 53.18461946857235, 1253.1846194685725]\n",
      "((-5, 0, 0, 1, 0), (-6, 0, 1, 1, 0), (-5, 0, 1, 1, 0))\n",
      "((-5, 0, 0, 1, 0), (-6, 0, 1, 1, 0), (-6, 0, 0, 1, 1))\n",
      "[-1533.129094396263, 53.18461946857235, 1418.1888479684944]\n",
      "2\n",
      "None\n",
      "[-1533.129094396263, 53.18461946857235, 1418.1888479684944]\n",
      "((-5, 0, 0, 1, 0), (-6, 0, 1, 1, 0), (-6, 0, 0, 1, 1))\n",
      "((-5, 0, 0, 1, 0), (-6, 0, 1, 1, 0), (-4, 1, 0, 1, 0))\n",
      "[-1533.129094396263, 53.18461946857235, 1568.8259064691251]\n",
      "2\n",
      "900.0\n",
      "[-1533.129094396263, 53.18461946857235, 1568.8259064691251]\n",
      "((-5, 0, 0, 1, 0), (-6, 0, 1, 1, 0), (-4, 1, 0, 1, 0))\n",
      "((-5, 0, 0, 1, 0), (-6, 0, 1, 1, 0), (-3, 0, 0, 1, 0))\n",
      "[-2433.129094396263, -846.8153805314276, -33.12909439626242]\n",
      "2\n",
      "100.0\n",
      "[-2433.129094396263, -846.8153805314276, -33.12909439626242]\n",
      "((-5, 0, 0, 1, 0), (-6, 0, 1, 1, 0), (-3, 0, 0, 1, 0))\n",
      "((-5, 0, 0, 1, 0), (-6, 0, 1, 1, 0), (0, 0, 0, 0, 0))\n",
      "[-2533.129094396263, -946.8153805314276, 98.04499913461268]\n",
      "1\n",
      "None\n",
      "[-2533.129094396263, -946.8153805314276, 98.04499913461268]\n",
      "((-5, 0, 0, 1, 0), (-6, 0, 1, 1, 0), (0, 0, 0, 0, 0))\n",
      "((-5, 0, 0, 1, 0), (-1, 0, 0, 0, 0), (0, 0, 0, 0, 0))\n",
      "[-2533.129094396263, -1101.9550008653873, 98.04499913461268]\n",
      "2\n",
      "200.0\n",
      "[-2533.129094396263, -1101.9550008653873, 98.04499913461268]\n",
      "((-5, 0, 0, 1, 0), (-1, 0, 0, 0, 0), (0, 0, 0, 0, 0))\n",
      "((-5, 0, 0, 1, 0), (-1, 0, 0, 0, 0), (-5, 0, 1, 1, 0))\n",
      "[-2733.129094396263, -1301.9550008653873, 53.184619468572436]\n",
      "1\n",
      "None\n",
      "[-2733.129094396263, -1301.9550008653873, 53.184619468572436]\n",
      "((-5, 0, 0, 1, 0), (-1, 0, 0, 0, 0), (-5, 0, 1, 1, 0))\n",
      "((-5, 0, 0, 1, 0), (-4, 0, 0, 1, 0), (-5, 0, 1, 1, 0))\n",
      "[-2733.129094396263, -1533.1290943962624, 53.184619468572436]\n",
      "1\n",
      "None\n",
      "[-2733.129094396263, -1533.1290943962624, 53.184619468572436]\n",
      "((-5, 0, 0, 1, 0), (-4, 0, 0, 1, 0), (-5, 0, 1, 1, 0))\n",
      "((-5, 0, 0, 1, 0), (-6, 1, 0, 1, 0), (-5, 0, 1, 1, 0))\n",
      "[-2733.129094396263, -2031.174093530875, 53.184619468572436]\n",
      "1\n",
      "None\n",
      "[-2733.129094396263, -2031.174093530875, 53.184619468572436]\n",
      "((-5, 0, 0, 1, 0), (-6, 1, 0, 1, 0), (-5, 0, 1, 1, 0))\n",
      "((-5, 0, 0, 1, 0), (-4, 0, 1, 0, 0), (-5, 0, 1, 1, 0))\n",
      "[-2733.129094396263, -2115.6412870005524, 53.184619468572436]\n",
      "1\n",
      "-600.0\n",
      "[-2733.129094396263, -2115.6412870005524, 53.184619468572436]\n",
      "((-5, 0, 0, 1, 0), (-4, 0, 1, 0, 0), (-5, 0, 1, 1, 0))\n",
      "((-5, 0, 0, 1, 0), (-6, 0, 1, 1, 0), (-5, 0, 1, 1, 0))\n",
      "[-2133.129094396263, -546.8153805314275, 653.1846194685725]\n",
      "0\n",
      "None\n",
      "[-2133.129094396263, -546.8153805314275, 653.1846194685725]\n",
      "((-5, 0, 0, 1, 0), (-6, 0, 1, 1, 0), (-5, 0, 1, 1, 0))\n",
      "((-5, 0, 1, 0, 0), (-6, 0, 1, 1, 0), (-5, 0, 1, 1, 0))\n",
      "[-2715.6412870005533, -546.8153805314275, 653.1846194685725]\n",
      "0\n",
      "None\n",
      "[-2715.6412870005533, -546.8153805314275, 653.1846194685725]\n",
      "((-5, 0, 1, 0, 0), (-6, 0, 1, 1, 0), (-5, 0, 1, 1, 0))\n",
      "((-6, 0, 0, 1, 0), (-6, 0, 1, 1, 0), (-5, 0, 1, 1, 0))\n",
      "[-3333.1290943962626, -546.8153805314275, 653.1846194685725]\n",
      "1\n",
      "100.0\n",
      "[-3333.1290943962626, -546.8153805314275, 653.1846194685725]\n",
      "((-6, 0, 0, 1, 0), (-6, 0, 1, 1, 0), (-5, 0, 1, 1, 0))\n",
      "((-6, 0, 0, 1, 0), (-7, 0, 0, 1, 1), (-5, 0, 1, 1, 0))\n",
      "[-3433.1290943962626, -481.81115203150546, 553.1846194685725]\n",
      "0\n",
      "None\n",
      "[-3433.1290943962626, -481.81115203150546, 553.1846194685725]\n",
      "((-6, 0, 0, 1, 0), (-7, 0, 0, 1, 1), (-5, 0, 1, 1, 0))\n",
      "((-7, 0, 0, 0, 1), (-7, 0, 0, 1, 1), (-5, 0, 1, 1, 0))\n",
      "[-3850.6370585006316, -481.81115203150546, 553.1846194685725]\n",
      "0\n",
      "-600.0\n",
      "[-3850.6370585006316, -481.81115203150546, 553.1846194685725]\n",
      "((-7, 0, 0, 0, 1), (-7, 0, 0, 1, 1), (-5, 0, 1, 1, 0))\n",
      "((-6, 0, 1, 0, 0), (-7, 0, 0, 1, 1), (-5, 0, 1, 1, 0))\n",
      "[-3415.6412870005533, 118.18884796849454, 1153.1846194685725]\n",
      "0\n",
      "100.0\n",
      "[-3415.6412870005533, 118.18884796849454, 1153.1846194685725]\n",
      "((-6, 0, 1, 0, 0), (-7, 0, 0, 1, 1), (-5, 0, 1, 1, 0))\n",
      "((-7, 0, 0, 1, 0), (-7, 0, 0, 1, 1), (-5, 0, 1, 1, 0))\n",
      "[-4133.129094396263, 18.188847968494542, 1053.1846194685725]\n",
      "2\n",
      "None\n",
      "[-4133.129094396263, 18.188847968494542, 1053.1846194685725]\n",
      "((-7, 0, 0, 1, 0), (-7, 0, 0, 1, 1), (-5, 0, 1, 1, 0))\n",
      "((-7, 0, 0, 1, 0), (-7, 0, 0, 1, 1), (-6, 0, 0, 1, 1))\n",
      "[-4133.129094396263, 18.188847968494542, 1218.1888479684944]\n",
      "1\n",
      "300.0\n",
      "[-4133.129094396263, 18.188847968494542, 1218.1888479684944]\n",
      "((-7, 0, 0, 1, 0), (-7, 0, 0, 1, 1), (-6, 0, 0, 1, 1))\n",
      "((-7, 0, 0, 1, 0), (-5, 1, 0, 1, 0), (-6, 0, 0, 1, 1))\n",
      "[-4433.129094396263, -131.17409353087476, 918.1888479684944]\n",
      "2\n",
      "None\n",
      "[-4433.129094396263, -131.17409353087476, 918.1888479684944]\n",
      "((-7, 0, 0, 1, 0), (-5, 1, 0, 1, 0), (-6, 0, 0, 1, 1))\n",
      "((-7, 0, 0, 1, 0), (-5, 1, 0, 1, 0), (-4, 1, 0, 1, 0))\n",
      "[-4433.129094396263, -131.17409353087476, 1068.8259064691251]\n",
      "2\n",
      "None\n",
      "[-4433.129094396263, -131.17409353087476, 1068.8259064691251]\n",
      "((-7, 0, 0, 1, 0), (-5, 1, 0, 1, 0), (-4, 1, 0, 1, 0))\n",
      "((-7, 0, 0, 1, 0), (-5, 1, 0, 1, 0), (-1, 1, 0, 0, 0))\n",
      "[-4433.129094396263, -131.17409353087476, 1300.0000000000002]\n",
      "0\n",
      "-400.0\n",
      "[-4433.129094396263, -131.17409353087476, 1300.0000000000002]\n",
      "((-7, 0, 0, 1, 0), (-5, 1, 0, 1, 0), (-1, 1, 0, 0, 0))\n",
      "((-4, 0, 0, 0, 0), (-5, 1, 0, 1, 0), (-1, 1, 0, 0, 0))\n",
      "[-3801.955000865388, 268.82590646912524, 1700.0000000000002]\n",
      "2\n",
      "None\n",
      "[-3801.955000865388, 268.82590646912524, 1700.0000000000002]\n",
      "((-4, 0, 0, 0, 0), (-5, 1, 0, 1, 0), (-1, 1, 0, 0, 0))\n",
      "((-4, 0, 0, 0, 0), (-5, 1, 0, 1, 0), (-3, 0, 0, 0, 1))\n",
      "[-3801.955000865388, 268.82590646912524, 1549.3629414993695]\n",
      "2\n",
      "1200.0\n",
      "[-3801.955000865388, 268.82590646912524, 1549.3629414993695]\n",
      "((-4, 0, 0, 0, 0), (-5, 1, 0, 1, 0), (-3, 0, 0, 0, 1))\n",
      "((-4, 0, 0, 0, 0), (-5, 1, 0, 1, 0), (-2, 0, 1, 0, 0))\n",
      "[-5001.955000865388, -931.1740935308748, 184.35871299944756]\n",
      "0\n",
      "-1300.0\n",
      "[-5001.955000865388, -931.1740935308748, 184.35871299944756]\n",
      "((-4, 0, 0, 0, 0), (-5, 1, 0, 1, 0), (-2, 0, 1, 0, 0))\n",
      "((-5, 1, 0, 0, 0), (-5, 1, 0, 1, 0), (-2, 0, 1, 0, 0))\n",
      "[-3000.000000000001, 368.82590646912524, 1484.3587129994476]\n",
      "2\n",
      "1400.0\n",
      "[-3000.000000000001, 368.82590646912524, 1484.3587129994476]\n",
      "((-5, 1, 0, 0, 0), (-5, 1, 0, 1, 0), (-2, 0, 1, 0, 0))\n",
      "((-5, 1, 0, 0, 0), (-5, 1, 0, 1, 0), (-4, 1, 0, 1, 0))\n",
      "[-4400.000000000001, -1031.1740935308749, 168.82590646912513]\n",
      "1\n",
      "None\n",
      "[-4400.000000000001, -1031.1740935308749, 168.82590646912513]\n",
      "((-5, 1, 0, 0, 0), (-5, 1, 0, 1, 0), (-4, 1, 0, 1, 0))\n",
      "((-5, 1, 0, 0, 0), (-2, 1, 0, 0, 0), (-4, 1, 0, 1, 0))\n",
      "[-4400.000000000001, -799.9999999999998, 168.82590646912513]\n",
      "2\n",
      "-100.0\n",
      "[-4400.000000000001, -799.9999999999998, 168.82590646912513]\n",
      "((-5, 1, 0, 0, 0), (-2, 1, 0, 0, 0), (-4, 1, 0, 1, 0))\n",
      "((-5, 1, 0, 0, 0), (-2, 1, 0, 0, 0), (-5, 1, 0, 0, 1))\n",
      "[-4300.000000000001, -699.9999999999998, -148.68205763524315]\n",
      "2\n",
      "-100.0\n",
      "[-4300.000000000001, -699.9999999999998, -148.68205763524315]\n",
      "((-5, 1, 0, 0, 0), (-2, 1, 0, 0, 0), (-5, 1, 0, 0, 1))\n",
      "((-5, 1, 0, 0, 0), (-2, 1, 0, 0, 0), (0, 0, 0, 0, 0))\n",
      "[-4200.000000000001, -599.9999999999998, -101.95500086538726]\n",
      "1\n",
      "None\n",
      "[-4200.000000000001, -599.9999999999998, -101.95500086538726]\n",
      "((-5, 1, 0, 0, 0), (-2, 1, 0, 0, 0), (0, 0, 0, 0, 0))\n",
      "((-5, 1, 0, 0, 0), (-4, 0, 0, 0, 1), (0, 0, 0, 0, 0))\n",
      "[-4200.000000000001, -750.6370585006306, -101.95500086538726]\n",
      "1\n",
      "None\n",
      "[-4200.000000000001, -750.6370585006306, -101.95500086538726]\n",
      "((-5, 1, 0, 0, 0), (-4, 0, 0, 0, 1), (0, 0, 0, 0, 0))\n",
      "((-5, 1, 0, 0, 0), (-5, 1, 0, 1, 0), (0, 0, 0, 0, 0))\n",
      "[-4200.000000000001, -831.1740935308749, -101.95500086538726]\n",
      "2\n",
      "100.0\n",
      "[-4200.000000000001, -831.1740935308749, -101.95500086538726]\n",
      "((-5, 1, 0, 0, 0), (-5, 1, 0, 1, 0), (0, 0, 0, 0, 0))\n",
      "((-5, 1, 0, 0, 0), (-5, 1, 0, 1, 0), (-4, 1, 1, 0, 0))\n",
      "[-4300.000000000001, -931.1740935308749, -313.686286135165]\n",
      "1\n",
      "-700.0\n",
      "[-4300.000000000001, -931.1740935308749, -313.686286135165]\n",
      "((-5, 1, 0, 0, 0), (-5, 1, 0, 1, 0), (-4, 1, 1, 0, 0))\n",
      "((-5, 1, 0, 0, 0), (-3, 0, 1, 0, 0), (-4, 1, 1, 0, 0))\n",
      "[-3600.000000000001, -315.64128700055244, 386.313713864835]\n"
     ]
    }
   ],
   "source": [
    "path = stochastic_hamiltonian(root)\n",
    "#durs = tuple(round(y[0]-x[0], 2) for (x, y) in pairwise(target_melody_data)) + ((1,))\n",
    "durs = tuple(d[0] for d in target_melody_data)\n",
    "path_to_chords(path, root)\n",
    "write_chord_sequence(list(zip(durs, path_to_chords(path, root))))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fe46a139-9c18-4e18-98d2-5b34a2ffb6ee",
   "metadata": {
    "jp-MarkdownHeadingCollapsed": true
   },
   "source": [
    "## graph based approach"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "046e48b9-7f25-4833-b0d9-c53963d164f4",
   "metadata": {},
   "source": [
    "### path functions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 379,
   "id": "b0d17cc2-a181-4212-aba5-72b90cab2a84",
   "metadata": {},
   "outputs": [],
   "source": [
    "from random import choice, choices\n",
    "\n",
    "# This is for the beginning / breysheet\n",
    "def stochastic_hamiltonian(graph):\n",
    "\n",
    "    #try making this omit the moving voice\n",
    "    def movement_size_weights(edges):\n",
    "        \n",
    "        def max_cent_diff(edge):\n",
    "            res = max([abs(v) for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None])\n",
    "            return res\n",
    "            \n",
    "        def min_cent_diff(edge):\n",
    "            res = [abs(v) for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None]\n",
    "            res.remove(0)\n",
    "            return min(res)\n",
    "            \n",
    "        for e in edges:\n",
    "            yield 4 if ((max_cent_diff(e) < 300) and (min_cent_diff(e)) >= 0) else 1\n",
    "\n",
    "    def hamiltonian_weights(edges):\n",
    "        for e in edges:\n",
    "            yield 10 if e[1] not in [path_edge[0] for path_edge in path] else 1 / graph.nodes[e[1]]['count']\n",
    "    \n",
    "    def contrary_motion_weights(edges):\n",
    "\n",
    "        def is_contrary(edge):\n",
    "            cent_diffs = [v for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None]\n",
    "            cent_diffs.sort()\n",
    "            return (cent_diffs[0] < 0) and (cent_diffs[1] == 0) and (cent_diffs[2] > 0)\n",
    "\n",
    "        for e in edges:\n",
    "            yield 2 if is_contrary(e) else 1\n",
    "    \n",
    "    def is_directly_tunable_weights(edges):\n",
    "        for e in edges:\n",
    "            yield 10 if e[2]['is_directly_tunable'] else 1\n",
    "\n",
    "    def symdiff_weights(edges):\n",
    "        for e in edges:\n",
    "            yield 1000 if e[2]['symmetric_difference'] == 2 else 1\n",
    "\n",
    "    def transposition_weight(edges):\n",
    "        for e in edges:\n",
    "            yield 100 if 0 <= hs_array_to_cents(e[2]['transposition']) < 100 else 1\n",
    "\n",
    "    def is_sustained_voice(edges, voice):\n",
    "        \n",
    "        def is_sustained(edge):\n",
    "            source = list(edge[0])\n",
    "            ordered_source = sorted(source, key=hs_array_to_fr)    \n",
    "            destination = [transpose_pitch(edge[2]['movements'][p]['destination'], edge[2]['transposition']) for p in source]\n",
    "            ordered_destination = sorted(destination, key=hs_array_to_fr)\n",
    "            return ordered_source[voice] == ordered_destination[voice]\n",
    "\n",
    "        for e in edges:\n",
    "            yield 10 if is_sustained(e) else 1\n",
    "\n",
    "    def voice_crossing_weights(edges):\n",
    "        \n",
    "        def has_voice_crossing(edge):\n",
    "            source = list(edge[0])\n",
    "            ordered_source = sorted(source, key=hs_array_to_fr)    \n",
    "            source_order = [ordered_source.index(p) for p in source]\n",
    "            destination = [transpose_pitch(edge[2]['movements'][p]['destination'], edge[2]['transposition']) for p in source]\n",
    "            ordered_destination = sorted(destination, key=hs_array_to_fr)\n",
    "            destination_order = [ordered_destination.index(p) for p in destination]\n",
    "            return source_order != destination_order\n",
    "\n",
    "        for e in edges:\n",
    "            yield 10 if not has_voice_crossing(e) else 0\n",
    "\n",
    "    def is_bass_rooted(chord):\n",
    "        return max([sum(abs(p) for p in collapse_pitch(pitch_difference(chord[0], p))) for p in chord[1:]]) == 1\n",
    "\n",
    "    def target_melody_weights(edges, target, c_devs, voice):\n",
    "\n",
    "        def target_weight(edge, target, c_devs, voice):\n",
    "            candidate_diffs = []\n",
    "            for idx, dev in enumerate(c_devs):\n",
    "                if(idx == voice):\n",
    "                    source = list(edge[0])\n",
    "                    ordered_source = sorted(source, key=hs_array_to_fr)    \n",
    "                    candidate_diff = edge[2]['movements'][ordered_source[idx]]['cent_difference']\n",
    "                    candidate_diffs += [abs(dev + candidate_diff - target)]\n",
    "            #return 1/pow(1.1, min(candidate_diffs))\n",
    "            return 10 if min(candidate_diffs) < 40 else 1/pow(1.1, min(candidate_diffs))\n",
    "            \n",
    "        for e in edges:\n",
    "            yield target_weight(e, target, c_devs, voice)\n",
    "        \n",
    "    check_graph = graph.copy()\n",
    "    next_node = choice(list(graph.nodes()))\n",
    "    check_graph.remove_node(next_node)\n",
    "    for node in graph.nodes(data=True):\n",
    "        node[1]['count'] = 1\n",
    "    path = []\n",
    "    s_next_node = sorted(next_node, key=hs_array_to_fr)\n",
    "    c_devs = (cent_difference(s_next_node[2], s_next_node[0]), cent_difference(s_next_node[2], s_next_node[1]), 0,)\n",
    "    #c_devs = (0, cent_difference(s_next_node[0], s_next_node[1]), cent_difference(s_next_node[0], s_next_node[2]),)\n",
    "    print(c_devs)\n",
    "    while (nx.number_of_nodes(check_graph) > 0) and (len(path) < len(target_melody_data)-1):\n",
    "        out_edges = list(graph.out_edges(next_node, data=True))\n",
    "        factors = [\n",
    "            movement_size_weights(out_edges), \n",
    "            #hamiltonian_weights(out_edges), \n",
    "            #contrary_motion_weights(out_edges), \n",
    "            #is_directly_tunable_weights(out_edges),\n",
    "            voice_crossing_weights(out_edges),\n",
    "            #transposition_weight(out_edges),\n",
    "            #is_sustained_voice(out_edges, 0),\n",
    "            target_melody_weights(out_edges, target_melody_data[len(path)+1][-1], c_devs, 2),\n",
    "            #symdiff_weights(out_edges)\n",
    "        ]\n",
    "        weights = [prod(a) for a in zip(*factors)]\n",
    "        edge = choices(out_edges, weights=weights)[0]\n",
    "        next_node = edge[1]\n",
    "        node[1]['count'] += 1\n",
    "        path.append(edge)\n",
    "        s_chord = tuple(sorted(edge[0], key=hs_array_to_fr))\n",
    "        c_devs = tuple(c_devs[pdx] + edge[2]['movements'][pitch]['cent_difference'] - target_melody_data[len(path)][-1] for pdx, pitch in enumerate(s_chord))\n",
    "        print(s_chord)\n",
    "        print(c_devs)\n",
    "        print(target_melody_data[len(path)][-1])\n",
    "        if next_node in check_graph.nodes:\n",
    "            check_graph.remove_node(next_node)\n",
    "    return path"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5e4318db-bd43-434a-8c27-5a110e0bd6c4",
   "metadata": {},
   "source": [
    "### model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 374,
   "id": "a8592bc9-7e9e-4b6a-9eaa-4c4e3b69ce91",
   "metadata": {},
   "outputs": [],
   "source": [
    "dims = (2, 3, 5, 7)\n",
    "root = (0, 0, 0, 0)\n",
    "chord = (root,)\n",
    "chord_set = chords(chord, root, 3, 3)\n",
    "graph = generate_graph(chord_set, 2, 2, 3)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 380,
   "id": "be01e4ae-e629-42ff-9d95-f77d510c13bf",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(-701.9550008653874, -386.31371386483454, 0)\n",
      "((0, 0, 0, 0), (1, 1, -1, 0), (-1, 1, 0, 0))\n",
      "(-901.9550008653874, -586.3137138648345, -88.26871473022209)\n",
      "200.0\n",
      "((0, 0, 0, 0), (1, 1, -1, 0), (3, 0, -1, 0))\n",
      "(-701.9550008653874, -386.31371386483454, 0.0)\n",
      "-200.0\n",
      "((0, 0, 0, 0), (1, 1, -1, 0), (-1, 1, 0, 0))\n",
      "(-313.68628613516523, 113.68628613516546, 500.0)\n",
      "-500.0\n",
      "((0, 0, 0, 0), (5, 0, -2, 0), (3, 0, -1, 0))\n",
      "(-184.35871299944722, 313.68628613516546, 700.0)\n",
      "-200.0\n",
      "((0, 0, 0, 0), (2, -1, 0, 0), (0, -1, 1, 0))\n",
      "(-684.3587129994472, -186.31371386483454, 17.5962878659401)\n",
      "500.0\n",
      "((0, 0, 0, 0), (2, -1, 0, 0), (-1, 1, 0, 0))\n",
      "(-584.3587129994472, -268.7174259988941, 117.5962878659401)\n",
      "-100.0\n",
      "((0, 0, 0, 0), (1, 1, -1, 0), (-1, 1, 0, 0))\n",
      "(3.9100017307749795, 431.2825740011059, 817.5962878659401)\n",
      "-700.0\n",
      "((0, 0, 0, 0), (5, 0, -2, 0), (3, 0, -1, 0))\n",
      "(400.10848047023035, 631.2825740011059, 1017.5962878659401)\n",
      "-200.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (1, 0, 1, -1))\n",
      "(-796.089998269225, -368.7174259988941, 17.5962878659401)\n",
      "1000.0\n",
      "((0, 0, 0, 0), (5, 0, -2, 0), (3, 0, -1, 0))\n",
      "(-166.762425133507, 331.2825740011059, 717.5962878659401)\n",
      "-700.0\n",
      "((0, 0, 0, 0), (2, -1, 0, 0), (0, -1, 1, 0))\n",
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      "1500.0\n",
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      "(168.9343869393556, 435.80529254309295, 666.9793860739677)\n",
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      "700.0\n",
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      "700.0\n",
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      "(-246.70690006119753, 335.80529254309295, 566.9793860739677)\n",
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      "-100.0\n",
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      "(-646.7069000611975, -331.0656130606444, 55.24810080418979)\n",
      "500.0\n",
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      "(-1346.7069000611975, -1031.0656130606444, -533.0206139260323)\n",
      "700.0\n",
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      "-200.0\n",
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      "-400.0\n",
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      "(-1517.3793269254795, -1131.0656130606444, -429.11061219525743)\n",
      "700.0\n",
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      "(-1617.3793269254795, -915.4243260600917, -529.1106121952574)\n",
      "100.0\n",
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      "(-17.379326925479518, 684.5756739399083, 796.3069592096857)\n",
      "-1600.0\n",
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      "(-1517.3793269254795, -815.4243260600917, -429.11061219525754)\n",
      "1500.0\n",
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      "(82.62067307452048, 784.5756739399083, 896.3069592096856)\n",
      "-1600.0\n",
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      "(-417.3793269254795, 80.66567220913328, 396.3069592096856)\n",
      "500.0\n",
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      "(-1417.3793269254795, -919.3343277908667, -421.2893286562546)\n",
      "1000.0\n",
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      "(-1223.244329521642, -1019.3343277908667, -521.2893286562546)\n",
      "100.0\n",
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      "(-1234.9756147914197, -919.3343277908667, -421.2893286562546)\n",
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      "(-1034.9756147914197, -803.8015212605446, -221.2893286562546)\n",
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      "(-934.9756147914197, -703.8015212605446, -1.846520395157654)\n",
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      "(-734.9756147914197, -503.80152126054463, -33.020613926032524)\n",
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      "(-734.9756147914197, -419.3343277908667, -33.020613926032524)\n",
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      "(-301.8465203951573, 280.6656722091333, 666.9793860739675)\n",
      "-700.0\n",
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      "(-801.8465203951573, -219.33432779086672, 11.83976574000792)\n",
      "500.0\n",
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      "(-517.3793269254793, -19.334327790866723, 211.83976574000792)\n",
      "-200.0\n",
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      "(-1417.3793269254793, -919.3343277908667, -421.2893286562545)\n",
      "900.0\n",
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      "(-1490.115235125379, -1019.3343277908667, -521.2893286562545)\n",
      "100.0\n",
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      "(-390.11523512537906, 80.66567220913328, 311.83976574000803)\n",
      "-1100.0\n",
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      "(-1690.115235125379, -1219.3343277908666, -721.2893286562545)\n",
      "1300.0\n",
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      "(-1890.115235125379, -1152.463422187129, -921.2893286562545)\n",
      "200.0\n",
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      "(-1519.3343277908666, -1252.463422187129, -1021.2893286562545)\n",
      "100.0\n",
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      "(-34.9756147914195, 547.536577812871, 778.7106713437455)\n",
      "-1800.0\n",
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      "(-1434.9756147914195, -852.463422187129, -466.14970832229494)\n",
      "1400.0\n",
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      "(-634.9756147914195, -52.46342218712903, 178.7106713437455)\n",
      "-800.0\n",
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      "(-538.777136051964, -152.46342218712903, 78.7106713437455)\n",
      "100.0\n",
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      "(-438.777136051964, -52.46342218712903, 59.26786308264832)\n",
      "-100.0\n",
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      "(-338.777136051964, -71.90623044822655, 159.26786308264832)\n",
      "-100.0\n",
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      "(-1638.7771360519641, -1371.9062304482266, -669.9512295828392)\n",
      "1300.0\n",
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      "-200.0\n",
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      "-100.0\n",
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      "(-438.77713605196413, -52.46342218712903, 59.26786308264832)\n",
      "-900.0\n",
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      "(-1038.7771360519641, -652.463422187129, 49.491578678258065)\n",
      "600.0\n",
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      "(-338.77713605196413, 47.53657781287097, 159.26786308264832)\n",
      "-700.0\n",
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      "(-138.77713605196413, 92.39695747891113, 359.2678630826483)\n",
      "-200.0\n",
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      "(61.222863948035865, 292.39695747891113, 447.5365778128707)\n",
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      "(-38.777136051964135, 116.3624842819959, 347.5365778128707)\n",
      "100.0\n",
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      "(-421.2893286562545, 316.3624842819959, 547.5365778128707)\n",
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      "(-121.2893286562545, 461.2228639480362, 847.5365778128707)\n",
      "-300.0\n",
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      "(-1821.2893286562544, -1007.6030425210887, -852.4634221871293)\n",
      "1700.0\n",
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      "(-1621.2893286562544, -807.6030425210887, -576.4289489902139)\n",
      "-200.0\n",
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      "(-921.2893286562544, -107.6030425210887, 47.536577812870746)\n",
      "-700.0\n",
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      "(-1021.2893286562544, -207.6030425210887, 23.57105100978606)\n",
      "100.0\n",
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      "(-621.2893286562544, 192.3969574789113, 347.53657781287075)\n",
      "-400.0\n",
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      "(-1221.2893286562544, -407.6030425210887, -176.42894899021394)\n",
      "600.0\n",
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      "(-1078.3839498556015, -607.6030425210887, -376.42894899021394)\n",
      "200.0\n",
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      "(-1078.3839498556015, -607.6030425210887, -109.55804338647647)\n",
      "0.0\n",
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      "(-1178.3839498556015, -440.73213691735117, -209.55804338647647)\n",
      "100.0\n",
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      "(-627.0458507821862, -240.73213691735117, -9.55804338647647)\n",
      "-200.0\n",
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      "(272.9541492178138, 659.2678630826488, 770.9991483524263)\n",
      "-900.0\n",
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      "700.0\n",
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      "(472.9541492178138, 859.2678630826488, 970.9991483524263)\n",
      "-900.0\n",
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      "(-727.0458507821862, -340.7321369173512, -25.09084991679856)\n",
      "1200.0\n",
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      "(-927.0458507821862, -540.7321369173512, -42.68713778273866)\n",
      "200.0\n",
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      "(-827.0458507821862, -440.7321369173512, -13.359564647020647)\n",
      "-100.0\n",
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      "(-827.0458507821862, -329.0008516475736, -13.359564647020647)\n",
      "0.0\n",
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      "(-1027.0458507821863, -529.0008516475737, -30.95585251296086)\n",
      "200.0\n",
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      "(-944.6421386481263, -629.0008516475737, -130.95585251296086)\n",
      "100.0\n",
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      "(-444.6421386481263, -129.00085164757365, 257.3128622172612)\n",
      "-500.0\n",
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      "-100.0\n",
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      "(-311.5130442518639, 270.99914835242635, 502.17324188330167)\n",
      "-300.0\n",
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      "(-1011.5130442518639, -429.00085164757365, -42.68713778273877)\n",
      "700.0\n",
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      "(-1411.513044251864, -940.7321369173515, -442.6871377827388)\n",
      "400.0\n",
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      "(-1527.045850782186, -1140.7321369173515, -642.6871377827388)\n",
      "200.0\n",
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      "(-1427.045850782186, -1040.7321369173515, -338.7771360519639)\n",
      "-100.0\n",
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      "(172.9541492178139, 559.2678630826485, 670.9991483524263)\n",
      "-1600.0\n",
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      "(72.95414921781389, 184.68543448759146, 570.9991483524263)\n",
      "100.0\n",
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      "(-30.95585251296106, 284.68543448759146, 670.9991483524263)\n",
      "-100.0\n",
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      "(-1730.955852512961, -1415.3145655124085, -917.2695663777957)\n",
      "1700.0\n",
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      "1200.0\n",
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      "(-701.6282793772432, -315.31456551240854, 0.32672148814447155)\n",
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      "(-101.62827937724319, 284.68543448759146, 396.4167197573695)\n",
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      "(-1.6282793772431887, 110.10300589253438, 496.4167197573695)\n",
      "-100.0\n",
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      "(-776.2107079723003, -389.8969941074656, -3.583280242630508)\n",
      "500.0\n",
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      "(-76.21070797230027, 310.1030058925344, 421.8342911623123)\n",
      "-700.0\n",
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      "(-291.851994972853, 410.1030058925344, 521.8342911623123)\n",
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      "(-91.85199497285299, 335.52057729747736, 721.8342911623123)\n",
      "-200.0\n",
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      "(-1991.851994972853, -1289.8969941074656, -1178.1657088376878)\n",
      "1900.0\n",
      "((0, 0, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0))\n",
      "(-1791.851994972853, -1089.8969941074656, -703.583280242631)\n",
      "-200.0\n",
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      "(-891.8519949728529, -189.89699410746562, 41.27709942340914)\n",
      "-900.0\n",
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      "(-791.8519949728529, -89.89699410746562, 21.834291162312184)\n",
      "-100.0\n",
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      "(-591.8519949728529, -276.21070797230016, 221.83429116231218)\n",
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      "(-691.8519949728529, -376.21070797230016, 10.10300589253427)\n",
      "100.0\n",
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      "(-1491.851994972853, -1176.2107079723, -678.1657088376878)\n",
      "800.0\n",
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      "(-891.8519949728529, -505.53828110801805, -78.16570883768782)\n",
      "-600.0\n",
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      "(-1591.851994972853, -1205.538281108018, -503.58328024263096)\n",
      "700.0\n",
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      "(-817.2695663777959, -705.538281108018, -3.5832802426309627)\n",
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      "(-1017.2695663777959, -630.955852512961, -203.58328024263096)\n",
      "200.0\n",
      "((0, 0, 0, 0), (-2, 0, 1, 0), (3, 0, -1, 0))\n",
      "(-1717.2695663777959, -1330.955852512961, -629.0008516475741)\n",
      "700.0\n",
      "((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0))\n",
      "(-1817.2695663777959, -1115.3145655124083, -729.0008516475741)\n",
      "100.0\n",
      "((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0))\n",
      "(-1113.359564647021, -615.3145655124083, -229.0008516475741)\n",
      "-500.0\n",
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      "(-513.359564647021, -15.314565512408308, 215.8595280184661)\n",
      "-600.0\n",
      "((0, 0, 0, 0), (2, -1, 0, 0), (5, -1, 0, -1))\n",
      "(-652.9663784506586, 84.68543448759169, 315.8595280184661)\n",
      "-100.0\n",
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      "(-1052.9663784506586, -786.095472846921, -84.14047198153389)\n",
      "400.0\n",
      "((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1))\n",
      "(-697.8267581166988, -586.095472846921, 115.85952801846611)\n",
      "-200.0\n",
      "((0, 0, 0, 0), (4, -1, -1, 0), (3, 0, -1, 0))\n",
      "(-797.8267581166988, -566.6526645858237, 15.859528018466108)\n",
      "100.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (3, 0, -1, 0))\n",
      "(-697.8267581166988, -466.6526645858237, 4.128242748688194)\n",
      "-100.0\n",
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      "(-397.8267581166988, -166.6526645858237, -11.513044251864414)\n",
      "-300.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (-2, 0, 1, 0))\n",
      "(-1097.8267581166988, -866.6526645858237, -52.96637845065902)\n",
      "700.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (6, 0, -1, -1))\n",
      "(-1221.7922849197837, -1066.6526645858237, -252.96637845065902)\n",
      "200.0\n",
      "((0, 0, 0, 0), (-5, 0, 1, 1), (-2, 0, 0, 1))\n",
      "(-1121.7922849197837, -854.9213793160461, -152.96637845065902)\n",
      "-100.0\n",
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      "(-1021.7922849197837, -790.6181913889084, -52.96637845065902)\n",
      "-100.0\n",
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      "(-1221.7922849197837, -990.6181913889084, -176.9319052537437)\n",
      "200.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (6, 0, -1, -1))\n",
      "(-1245.7578117228686, -1090.6181913889084, -276.9319052537437)\n",
      "100.0\n",
      "((0, 0, 0, 0), (-5, 0, 1, 1), (-2, 0, 0, 1))\n",
      "(-1421.7922849197837, -1190.6181913889084, -376.9319052537437)\n",
      "100.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (6, 0, -1, -1))\n",
      "(-1121.7922849197837, -308.105998784618, -76.93190525374371)\n",
      "-300.0\n",
      "((0, 0, 0, 0), (3, 0, -1, 0), (6, 0, -1, -1))\n",
      "(-1210.060999650006, -508.105998784618, -276.9319052537437)\n",
      "200.0\n",
      "((0, 0, 0, 0), (-1, 1, 0, 0), (2, 1, 0, -1))\n",
      "(-710.0609996500059, -8.10599878461801, 103.62528648515934)\n",
      "-500.0\n",
      "((0, 0, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0))\n",
      "(-1410.060999650006, -708.105998784618, -321.7922849197838)\n",
      "700.0\n",
      "((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0))\n",
      "(-510.0609996500059, 191.894001215382, 303.62528648515934)\n",
      "-900.0\n",
      "((0, 0, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0))\n",
      "(-610.0609996500059, -498.32971438022764, 203.62528648515934)\n",
      "100.0\n",
      "((0, 0, 0, 0), (4, -1, -1, 0), (3, 0, -1, 0))\n",
      "(-1210.060999650006, -823.7472857851706, -396.37471351484066)\n",
      "600.0\n",
      "((0, 0, 0, 0), (-2, 0, 1, 0), (3, 0, -1, 0))\n",
      "(-410.0609996500059, -23.74728578517056, 87.98399948460644)\n",
      "-800.0\n",
      "((0, 0, 0, 0), (-2, 0, 1, 0), (2, -1, 0, 0))\n",
      "(-310.0609996500059, -43.19009404626809, 187.98399948460644)\n",
      "-100.0\n",
      "((0, 0, 0, 0), (-1, -1, 0, 1), (2, -1, 0, 0))\n",
      "(-241.23509318088088, 256.8099059537319, 487.98399948460644)\n",
      "-300.0\n",
      "((0, 0, 0, 0), (2, -1, 0, 0), (5, -1, 0, -1))\n",
      "(-1241.235093180881, -743.1900940462681, -245.14509491165597)\n",
      "1000.0\n",
      "((0, 0, 0, 0), (2, -1, 0, 0), (4, -2, 0, 0))\n",
      "(-1229.5038079111032, -843.1900940462681, -345.145094911656)\n",
      "100.0\n",
      "((0, 0, 0, 0), (-2, 0, 1, 0), (0, -1, 1, 0))\n",
      "(-1429.5038079111032, -1043.190094046268, -341.2350931808811)\n",
      "200.0\n",
      "((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0))\n",
      "(-1174.3641875771434, -943.1900940462681, -241.2350931808811)\n",
      "-100.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (2, 1, 0, -1))\n",
      "(-674.3641875771434, -443.1900940462681, 27.59081328824402)\n",
      "-500.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (-1, 1, 0, 0))\n",
      "(-474.3641875771434, -243.1900940462681, 23.680811557469042)\n",
      "-200.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (2, -1, 0, 0))\n",
      "(-1274.3641875771434, -1043.190094046268, -229.5038079111032)\n",
      "800.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (6, 0, -1, -1))\n",
      "(-1298.3297143802283, -1143.190094046268, -329.5038079111032)\n",
      "100.0\n",
      "((0, 0, 0, 0), (-5, 0, 1, 1), (-2, 0, 0, 1))\n",
      "(-98.32971438022832, 56.80990595373191, 287.9839994846068)\n",
      "-1200.0\n",
      "((0, 0, 0, 0), (-5, 0, 1, 1), (-2, 0, 1, 0))\n",
      "(-898.3297143802283, -743.1900940462681, 70.4961920888968)\n",
      "800.0\n",
      "((0, 0, 0, 0), (-5, 0, 1, 1), (-2, 0, 0, 1))\n",
      "(101.67028561977168, 256.8099059537319, 487.9839994846068)\n",
      "-1000.0\n",
      "((0, 0, 0, 0), (-5, 0, 1, 1), (-2, 0, 1, 0))\n",
      "(-756.8763801814338, 56.80990595373191, 287.9839994846068)\n",
      "200.0\n",
      "((0, 0, 0, 0), (3, 0, -1, 0), (6, 0, -1, -1))\n",
      "(-1710.0609996500057, -1443.190094046268, -1212.0160005153932)\n",
      "1500.0\n",
      "((0, 0, 0, 0), (-1, -1, 0, 1), (2, -1, 0, 0))\n",
      "(-541.2350931808805, -43.19009404626809, 187.98399948460678)\n",
      "-1400.0\n",
      "((0, 0, 0, 0), (2, -1, 0, 0), (5, -1, 0, -1))\n",
      "(-1741.2350931808805, -1243.190094046268, -745.1450949116556)\n",
      "1200.0\n",
      "((0, 0, 0, 0), (2, -1, 0, 0), (4, -2, 0, 0))\n",
      "(-1347.100095777043, -1143.190094046268, -645.1450949116556)\n",
      "-100.0\n",
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      "(-241.23509318088054, 256.8099059537319, 754.8549050883444)\n",
      "-1400.0\n",
      "((0, 0, 0, 0), (2, -1, 0, 0), (4, -2, 0, 0))\n",
      "(-1258.8313810468205, -943.1900940462681, -445.14509491165563)\n",
      "1200.0\n",
      "((0, 0, 0, 0), (1, 1, -1, 0), (3, 0, -1, 0))\n",
      "(-758.8313810468205, -372.5176671819861, 54.85490508834437)\n",
      "-500.0\n",
      "((0, 0, 0, 0), (-2, 0, 1, 0), (3, 0, -1, 0))\n",
      "(-858.8313810468205, -472.5176671819861, 25.527331952626355)\n",
      "100.0\n",
      "((0, 0, 0, 0), (-2, 0, 1, 0), (0, -1, 1, 0))\n",
      "(-1458.8313810468205, -1072.517667181986, -370.5626663165988)\n",
      "600.0\n",
      "((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0))\n",
      "(-1139.3885727857232, -872.5176671819861, -170.56266631659878)\n",
      "-200.0\n",
      "((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1))\n",
      "(-239.38857278572323, 27.4823328180139, 258.6564263488888)\n",
      "-900.0\n",
      "((0, 0, 0, 0), (-1, -1, 0, 1), (2, -1, 0, 0))\n",
      "(296.30823928713926, 527.4823328180139, 758.6564263488888)\n",
      "-500.0\n",
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      "(-903.6917607128607, -672.5176671819861, 29.437333683400993)\n",
      "1200.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (2, 1, 0, -1))\n",
      "(396.30823928713926, 627.4823328180139, 782.6219531519735)\n",
      "-1300.0\n",
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      "(-803.6917607128607, -572.5176671819861, 9.994525422303923)\n",
      "1200.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (3, 0, -1, 0))\n",
      "(-403.69176071286074, -172.5176671819861, -17.3780468480266)\n",
      "-400.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (-2, 0, 1, 0))\n",
      "(-1103.6917607128607, -872.5176671819861, -58.83138104682121)\n",
      "700.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (6, 0, -1, -1))\n",
      "(296.30823928713926, 527.4823328180139, 682.6219531519735)\n",
      "-1400.0\n",
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      "(-103.69176071286074, 51.4478596210987, 282.62195315197346)\n",
      "400.0\n",
      "((0, 0, 0, 0), (-5, 0, 1, 1), (-2, 0, 1, 0))\n",
      "(-219.33304771341363, 251.4478596210987, 482.62195315197346)\n",
      "-200.0\n",
      "((0, 0, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0))\n",
      "(-1519.3330477134136, -1048.5521403789012, -550.5071412442891)\n",
      "1300.0\n",
      "((0, 0, 0, 0), (-4, 1, 0, 1), (-2, 0, 0, 1))\n",
      "(-719.3330477134136, -248.55214037890119, -17.378046848026543)\n",
      "-800.0\n",
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      "(-819.3330477134136, -503.6917607128607, -117.37804684802654)\n",
      "100.0\n",
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      "(-1519.3330477134136, -1203.6917607128607, -705.6467615782486)\n",
      "700.0\n",
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      "(-1419.3330477134136, -1033.0193338485788, -605.6467615782486)\n",
      "-100.0\n",
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      "(-719.3330477134136, -333.01933384857875, -17.378046848026543)\n",
      "-700.0\n",
      "((0, 0, 0, 0), (-2, 0, 1, 0), (-1, 1, 0, 0))\n",
      "(-1519.3330477134136, -1133.0193338485788, -431.0643329831918)\n",
      "800.0\n",
      "((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0))\n",
      "(-919.3330477134136, -533.0193338485788, -34.97433471396664)\n",
      "-600.0\n",
      "((0, 0, 0, 0), (-2, 0, 1, 0), (0, -1, 1, 0))\n",
      "(-819.3330477134136, -433.01933384857875, -5.646761578248629)\n",
      "-100.0\n",
      "((0, 0, 0, 0), (-2, 0, 1, 0), (3, 0, -1, 0))\n",
      "(-119.33304771341363, 266.98066615142125, 378.7119514211985)\n",
      "-700.0\n",
      "((0, 0, 0, 0), (-2, 0, 1, 0), (2, -1, 0, 0))\n",
      "(-319.33304771341363, -88.1589541825386, 178.71195142119848)\n",
      "200.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (2, -1, 0, 0))\n",
      "(-419.33304771341363, -188.1589541825386, -33.01933384857915)\n",
      "100.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (-2, 0, 1, 0))\n",
      "(-719.3330477134136, -488.1589541825386, -17.378046848026543)\n",
      "300.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (-1, 1, 0, 0))\n",
      "(-519.3330477134136, -288.1589541825386, -21.288048578801522)\n",
      "-200.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (2, -1, 0, 0))\n",
      "(-219.33304771341363, 11.841045817461406, 166.98066615142085)\n",
      "-300.0\n",
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      "(-619.3330477134136, -388.1589541825386, -1.845240317704338)\n",
      "400.0\n",
      "((0, 0, 0, 0), (3, 0, 0, -1), (1, 0, 1, -1))\n",
      "(-499.8902394523164, -388.1589541825386, -1.845240317704338)\n",
      "0.0\n",
      "((0, 0, 0, 0), (4, -1, -1, 0), (2, -1, 0, 0))\n",
      "(-699.8902394523163, -588.1589541825385, 113.79604668284856)\n",
      "200.0\n",
      "((0, 0, 0, 0), (4, -1, -1, 0), (3, 0, -1, 0))\n",
      "(-599.8902394523163, -488.15895418253854, -101.84524031770434)\n",
      "-100.0\n",
      "((0, 0, 0, 0), (4, -1, -1, 0), (2, -1, 0, 0))\n",
      "(-699.8902394523163, -588.1589541825385, 113.79604668284856)\n",
      "100.0\n",
      "((0, 0, 0, 0), (4, -1, -1, 0), (3, 0, -1, 0))\n",
      "(-599.8902394523163, -488.15895418253854, -101.84524031770434)\n",
      "-100.0\n",
      "((0, 0, 0, 0), (4, -1, -1, 0), (2, -1, 0, 0))\n",
      "(-699.8902394523163, -588.1589541825385, 113.79604668284856)\n",
      "100.0\n",
      "((0, 0, 0, 0), (4, -1, -1, 0), (3, 0, -1, 0))\n",
      "(-599.8902394523163, -488.15895418253854, -101.84524031770434)\n",
      "-100.0\n",
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      "(-574.4726680473734, -188.15895418253854, 198.15475968229566)\n",
      "-300.0\n",
      "(1.525, 0.425, 1.225, 0.65, 0.375, 0.65, 0.175, 0.925, 0.4, 0.4, 0.7, 0.25, 0.625, 0.1, 1.175, 0.475, 0.1, 0.225, 0.625, 0.525, 0.2, 0.625, 0.05, 0.175, 0.65, 1.0, 0.075, 0.075, 1.2, 0.525, 0.3, 0.075, 1.225, 0.325, 0.3, 0.15, 0.075, 0.525, 0.225, 2.275, 0.125, 0.025, 0.225, 0.025, 0.125, 0.25, 0.25, 0.8, 0.125, 0.325, 0.275, 0.375, 0.425, 0.125, 1.1, 0.375, 0.05, 0.1, 0.4, 1.15, 0.15, 0.1, 0.075, 0.75, 0.575, 0.05, 0.325, 0.9, 0.375, 0.575, 0.05, 0.125, 0.075, 0.125, 0.4, 0.275, 0.125, 0.525, 0.65, 0.975, 0.725, 0.275, 0.175, 1.65, 0.7, 0.1, 0.05, 0.225, 0.4, 0.375, 0.325, 0.2, 0.225, 0.425, 2.05, 0.025, 0.125, 0.075, 0.45, 0.075, 0.225, 0.075, 0.35, 0.15, 0.3, 0.175, 0.1, 0.525, 0.55, 0.325, 0.375, 0.075, 0.5, 0.525, 0.7, 0.3, 0.05, 0.55, 0.65, 0.675, 0.25, 0.7, 0.85, 0.9, 1.15, 0.25, 0.025, 0.1, 0.475, 0.125, 1.0, 0.35, 0.075, 0.725, 0.3, 0.2, 0.1, 0.25, 0.2, 0.975, 0.55, 0.025, 0.225, 0.425, 0.525, 1.45, 0.025, 0.175, 0.275, 0.025, 0.35, 0.4, 0.4, 0.075, 0.7, 0.35, 0.1, 0.4, 0.175, 0.275, 1.425, 0.775, 0.475, 0.85, 1.375, 0.25, 0.55, 0.075, 1.425, 0.325, 0.525, 0.3, 0.825, 0.525, 0.15, 0.075, 0.375, 0.125, 0.05, 0.3, 0.675, 1.4, 0.9, 0.475, 0.425, 0.475, 0.275, 1.175, 0.3, 0.45, 1.375, 0.225, 0.25, 0.1, 0.05, 0.15, 0.6, 0.225, 0.55, 0.45, 0.275, 0.15, 0.05, 1.45, 0.225, 0.225, 0.75, 0.25, 0.55, 0.525, 0.925, 1.4, 0.725, 0.8, 0.775)\n"
     ]
    }
   ],
   "source": [
    "path = stochastic_hamiltonian(graph)\n",
    "#durs = tuple(round(y[0]-x[0], 2) for (x, y) in pairwise(target_melody_data)) + ((1,))\n",
    "durs = tuple(d[0] for d in target_melody_data)\n",
    "path_to_chords(path, root)\n",
    "print(durs)\n",
    "write_chord_sequence(list(zip(durs, path_to_chords(path, root))))"
   ]
  }
 ],
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