From eadd9c092f6cb7f308385ce5d61d436469109f7c Mon Sep 17 00:00:00 2001
From: mwinter <mwinter@unboundedpress.org>
Date: Fri, 31 May 2024 03:26:26 +0200
Subject: [PATCH] major cleanup / redo of the beginning

---
 compact_sets_extended_simplified.ipynb | 14075 +++++++++++++++++++----
 compact_sets_play.scd                  |    12 +-
 2 files changed, 11942 insertions(+), 2145 deletions(-)

diff --git a/compact_sets_extended_simplified.ipynb b/compact_sets_extended_simplified.ipynb
index 56f64b9..8f27f6b 100644
--- a/compact_sets_extended_simplified.ipynb
+++ b/compact_sets_extended_simplified.ipynb
@@ -1,9 +1,19 @@
 {
  "cells": [
+  {
+   "cell_type": "markdown",
+   "id": "06774c1b-6cc6-4f6e-8f4a-bafd572f8ac3",
+   "metadata": {
+    "jp-MarkdownHeadingCollapsed": true
+   },
+   "source": [
+    "# Topological Functions"
+   ]
+  },
   {
    "cell_type": "code",
-   "execution_count": 236,
-   "id": "806f6f69-1e0b-4d34-aac9-695c8531cdb1",
+   "execution_count": 21,
+   "id": "5178de6f-a93c-45b1-9608-b0bbe8a771f2",
    "metadata": {},
    "outputs": [],
    "source": [
@@ -164,9 +174,27 @@
     "    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": 683,
+   "execution_count": 2,
    "id": "aea5215c-8551-4685-b761-11c2dc74cf22",
    "metadata": {},
    "outputs": [],
@@ -233,7 +261,6 @@
     "    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",
-    "        #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",
@@ -252,9 +279,19 @@
     "    return path"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "id": "17c03eb3-b670-494b-a6db-225b1ac10525",
+   "metadata": {
+    "jp-MarkdownHeadingCollapsed": true
+   },
+   "source": [
+    "## model"
+   ]
+  },
   {
    "cell_type": "code",
-   "execution_count": 684,
+   "execution_count": 3,
    "id": "4e3ef738-7f64-47c3-9129-0450fd031375",
    "metadata": {},
    "outputs": [],
@@ -268,7 +305,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 685,
+   "execution_count": 4,
    "id": "6e0de0e5-7973-4a15-ae90-5bbb4a1ef49d",
    "metadata": {},
    "outputs": [],
@@ -279,6 +316,16 @@
     "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,
@@ -372,9 +419,27 @@
     "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": 688,
+   "execution_count": 5,
    "id": "6e4ecb10-344b-4721-b2f4-68de91d712db",
    "metadata": {},
    "outputs": [],
@@ -463,17 +528,14 @@
     "        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",
-    "            voice_crossing_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",
-    "        #print(weights)\n",
     "        edge = choices(out_edges, weights=weights)[0]\n",
-    "        #print(edge)\n",
-    "        #edge = random.choice(out_edges)\n",
     "        next_node = edge[1]\n",
     "        node[1]['count'] += 1\n",
     "        path.append(edge)\n",
@@ -483,9 +545,19 @@
     "    return path"
    ]
   },
+  {
+   "cell_type": "markdown",
+   "id": "62a5c827-d57f-4eea-a43d-56e24c0e2ff3",
+   "metadata": {
+    "jp-MarkdownHeadingCollapsed": true
+   },
+   "source": [
+    "## model"
+   ]
+  },
   {
    "cell_type": "code",
-   "execution_count": 34,
+   "execution_count": 8,
    "id": "a76dc0f3-02e2-4739-9014-b53d3a590e3d",
    "metadata": {},
    "outputs": [],
@@ -499,7 +571,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 690,
+   "execution_count": 9,
    "id": "7b76d848-fe53-4b60-b414-46cfe570f78b",
    "metadata": {},
    "outputs": [
@@ -507,17 +579,17 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "((3, 0, 0, -1, 0), (0, 0, 0, 0, 0), (-2, 0, 0, 1, 0))\n",
+      "((3, 0, -1, 0, 0), (2, -1, 0, 0, 0), (0, 0, 0, 0, 0))\n",
       "0\n"
      ]
     },
     {
      "data": {
       "text/plain": [
-       "163"
+       "178"
       ]
      },
-     "execution_count": 690,
+     "execution_count": 9,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -530,9 +602,25 @@
     "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": null,
+   "execution_count": 3,
    "id": "91fd1700-6f41-4a4c-98cb-8355075d44d2",
    "metadata": {},
    "outputs": [],
@@ -543,7 +631,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 22,
    "id": "51be5ff2-2b7f-4350-878f-09e79d4bff1f",
    "metadata": {},
    "outputs": [],
@@ -554,7 +642,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 23,
    "id": "9b8e1e21-c5f5-4d77-8d1c-094b073b8322",
    "metadata": {},
    "outputs": [],
@@ -564,26 +652,15 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 24,
    "id": "01f8f969-fc3c-46a2-acfd-b1f956e438bc",
    "metadata": {},
    "outputs": [
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "2024-05-24 17:13:22.147078: I external/local_tsl/tsl/cuda/cudart_stub.cc:32] Could not find cuda drivers on your machine, GPU will not be used.\n",
-      "2024-05-24 17:13:22.471453: I external/local_tsl/tsl/cuda/cudart_stub.cc:32] Could not find cuda drivers on your machine, GPU will not be used.\n",
-      "2024-05-24 17:13:23.474683: I tensorflow/core/platform/cpu_feature_guard.cc:210] This TensorFlow binary is optimized to use available CPU instructions in performance-critical operations.\n",
-      "To enable the following instructions: AVX2 FMA, in other operations, rebuild TensorFlow with the appropriate compiler flags.\n",
-      "2024-05-24 17:13:25.296611: W tensorflow/compiler/tf2tensorrt/utils/py_utils.cc:38] TF-TRT Warning: Could not find TensorRT\n"
-     ]
-    },
     {
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "\u001b[1m76/76\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m36s\u001b[0m 471ms/step\n"
+      "\u001b[1m76/76\u001b[0m \u001b[32m━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[37m\u001b[0m \u001b[1m22s\u001b[0m 292ms/step\n"
      ]
     }
    ],
@@ -593,159 +670,19 @@
    ]
   },
   {
-   "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": "code",
-   "execution_count": 374,
-   "id": "a8592bc9-7e9e-4b6a-9eaa-4c4e3b69ce91",
-   "metadata": {},
-   "outputs": [],
+   "cell_type": "markdown",
+   "id": "6909f6c9-b8b7-4fe8-bca3-57fb8b8851b3",
+   "metadata": {
+    "jp-MarkdownHeadingCollapsed": true
+   },
    "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)"
+    "## legacy stuff"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 342,
-   "id": "fb2ad9ad-7a8c-4f84-ab0c-9c1f1ecdb8a8",
+   "execution_count": 14,
+   "id": "63d4b87f-7782-4aec-9066-6f2710f3d997",
    "metadata": {
     "scrolled": true
    },
@@ -754,874 +691,830 @@
      "name": "stdout",
      "output_type": "stream",
      "text": [
-      "[(39.0, 44.0, 51.0), (39.0, 44.0, 53.0)]\n",
-      "51.0\n",
-      "2\n",
-      "[(39.0, 44.0, 53.0), (39.0, 44.0, 51.0)]\n",
-      "53.0\n",
       "2\n",
-      "[(39.0, 44.0, 51.0), (39.0, 46.0, 51.0)]\n",
       "51.0\n",
-      "2\n",
-      "[(39.0, 46.0, 51.0), (39.0, 44.0, 51.0)]\n",
+      "1\n",
       "46.0\n",
       "1\n",
-      "[(39.0, 44.0, 51.0), (39.0, 44.0, 49.0)]\n",
       "44.0\n",
-      "1\n",
-      "[(39.0, 44.0, 49.0), (39.0, 44.0, 48.0)]\n",
-      "49.0\n",
-      "2\n",
-      "[(39.0, 44.0, 48.0), (41.0, 44.0, 48.0)]\n",
-      "48.0\n",
-      "2\n",
-      "[(41.0, 44.0, 48.0), (39.0, 44.0, 48.0)]\n",
+      "0\n",
       "41.0\n",
       "0\n",
-      "[(39.0, 44.0, 48.0), (39.0, 44.0, 49.0)]\n",
       "39.0\n",
-      "0\n",
-      "[(39.0, 44.0, 49.0), (39.0, 42.0, 49.0)]\n",
-      "49.0\n",
       "2\n",
-      "[(39.0, 42.0, 49.0), (39.0, 42.0, 51.0)]\n",
-      "42.0\n",
+      "53.0\n",
       "1\n",
-      "[(39.0, 42.0, 51.0), (39.0, 41.0, 51.0)]\n",
-      "51.0\n",
+      "42.0\n",
       "2\n",
-      "[(39.0, 41.0, 51.0), (39.0, 41.0, 52.0)]\n",
+      "51.0\n",
+      "1\n",
       "41.0\n",
+      "0\n",
+      "37.0\n",
+      "0\n",
+      "36.0\n",
       "1\n",
-      "[(39.0, 41.0, 52.0), (39.0, 41.0, 51.0)]\n",
-      "52.0\n",
-      "2\n",
-      "[(39.0, 41.0, 51.0), (39.0, 42.0, 51.0)]\n",
-      "51.0\n",
-      "2\n",
-      "[(39.0, 42.0, 51.0), (39.0, 42.0, 49.0)]\n",
       "42.0\n",
-      "1\n",
-      "[(39.0, 42.0, 49.0), (39.0, 42.0, 48.0)]\n",
+      "2\n",
       "49.0\n",
       "2\n",
-      "[(39.0, 42.0, 48.0), (37.0, 42.0, 48.0)]\n",
       "48.0\n",
-      "2\n",
-      "[(37.0, 42.0, 48.0), (37.0, 44.0, 48.0)]\n",
+      "0\n",
       "37.0\n",
+      "2\n",
+      "49.0\n",
       "0\n",
-      "[(37.0, 44.0, 48.0), (36.0, 44.0, 48.0)]\n",
-      "44.0\n",
+      "39.0\n",
       "1\n",
-      "[(36.0, 44.0, 48.0), (36.0, 44.0, 51.0)]\n",
-      "36.0\n",
-      "0\n",
-      "[(36.0, 44.0, 51.0), (36.0, 45.0, 51.0)]\n",
-      "51.0\n",
+      "44.0\n",
       "2\n",
-      "[(36.0, 45.0, 51.0), (36.0, 44.0, 51.0)]\n",
-      "45.0\n",
+      "51.0\n",
+      "0\n",
+      "40.0\n",
+      "0\n",
+      "39.0\n",
       "1\n",
-      "[(36.0, 44.0, 51.0), (36.0, 44.0, 53.0)]\n",
       "44.0\n",
-      "1\n",
-      "[(36.0, 44.0, 53.0), (36.0, 44.0, 51.0)]\n",
-      "53.0\n",
       "2\n",
-      "[(36.0, 44.0, 51.0), (36.0, 42.0, 51.0)]\n",
-      "51.0\n",
+      "52.0\n",
       "2\n",
-      "[(36.0, 42.0, 51.0), (36.0, 41.0, 51.0)]\n",
+      "51.0\n",
+      "1\n",
       "42.0\n",
       "1\n",
-      "[(36.0, 41.0, 51.0), (37.0, 41.0, 51.0)]\n",
       "41.0\n",
-      "1\n",
-      "[(37.0, 41.0, 51.0), (37.0, 41.0, 52.0)]\n",
+      "0\n",
       "37.0\n",
       "0\n",
-      "[(37.0, 41.0, 52.0), (37.0, 41.0, 48.0)]\n",
-      "52.0\n",
+      "36.0\n",
+      "1\n",
+      "44.0\n",
       "2\n",
-      "[(37.0, 41.0, 48.0), (37.0, 44.0, 48.0)]\n",
-      "48.0\n",
+      "49.0\n",
       "2\n",
-      "[(37.0, 44.0, 48.0), (39.0, 44.0, 48.0)]\n",
-      "44.0\n",
+      "48.0\n",
       "1\n",
-      "[(39.0, 44.0, 48.0), (39.0, 46.0, 48.0)]\n",
-      "39.0\n",
-      "0\n",
-      "[(39.0, 46.0, 48.0), (39.0, 46.0, 53.0)]\n",
       "46.0\n",
+      "0\n",
+      "39.0\n",
       "1\n",
-      "[(39.0, 46.0, 53.0), (40.0, 46.0, 53.0)]\n",
-      "53.0\n",
+      "44.0\n",
       "2\n",
-      "[(40.0, 46.0, 53.0), (39.0, 46.0, 53.0)]\n",
-      "40.0\n",
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+      "0\n",
+      "41.0\n",
       "0\n",
-      "[(39.0, 46.0, 53.0), (39.0, 44.0, 53.0)]\n",
       "39.0\n",
+      "2\n",
+      "53.0\n",
       "0\n",
-      "[(39.0, 44.0, 53.0), (39.0, 44.0, 51.0)]\n",
-      "44.0\n",
+      "40.0\n",
       "1\n",
-      "[(39.0, 44.0, 51.0), (39.0, 44.0, 49.0)]\n",
-      "51.0\n",
-      "2\n",
-      "[(39.0, 44.0, 49.0), (39.0, 45.0, 49.0)]\n",
-      "49.0\n",
-      "2\n",
-      "[(39.0, 45.0, 49.0), (39.0, 45.0, 52.0)]\n",
       "45.0\n",
-      "1\n",
-      "[(39.0, 45.0, 52.0), (39.0, 45.0, 53.0)]\n",
-      "52.0\n",
-      "2\n",
-      "[(39.0, 45.0, 53.0), (37.0, 45.0, 53.0)]\n",
-      "53.0\n",
       "2\n",
-      "[(37.0, 45.0, 53.0), (37.0, 45.0, 52.0)]\n",
-      "37.0\n",
+      "51.0\n",
+      "1\n",
+      "41.0\n",
       "0\n",
-      "[(37.0, 45.0, 52.0), (36.0, 45.0, 52.0)]\n",
-      "52.0\n",
-      "2\n",
-      "[(36.0, 45.0, 52.0), (36.0, 41.0, 52.0)]\n",
       "36.0\n",
-      "0\n",
-      "[(36.0, 41.0, 52.0), (36.0, 41.0, 51.0)]\n",
-      "41.0\n",
       "1\n",
-      "[(36.0, 41.0, 51.0), (36.0, 41.0, 52.0)]\n",
-      "51.0\n",
+      "46.0\n",
       "2\n",
-      "[(36.0, 41.0, 52.0), (36.0, 41.0, 51.0)]\n",
       "52.0\n",
       "2\n",
-      "[(36.0, 41.0, 51.0), (36.0, 41.0, 49.0)]\n",
-      "51.0\n",
-      "2\n",
-      "[(36.0, 41.0, 49.0), (36.0, 41.0, 48.0)]\n",
-      "49.0\n",
-      "2\n",
-      "[(36.0, 41.0, 48.0), (36.0, 41.0, 46.0)]\n",
       "48.0\n",
-      "2\n",
-      "[(36.0, 41.0, 46.0), (36.0, 46.0, 46.0)]\n",
-      "46.0\n",
-      "2\n",
-      "[(36.0, 46.0, 46.0), (39.0, 46.0, 46.0)]\n",
-      "46.0\n",
       "1\n",
-      "[(39.0, 46.0, 46.0), (39.0, 44.0, 46.0)]\n",
-      "39.0\n",
-      "0\n",
-      "[(39.0, 44.0, 46.0), (39.0, 42.0, 46.0)]\n",
       "44.0\n",
       "1\n",
-      "[(39.0, 42.0, 46.0), (39.0, 42.0, 51.0)]\n",
       "42.0\n",
-      "1\n",
-      "[(39.0, 42.0, 51.0), (39.0, 42.0, 52.0)]\n",
-      "51.0\n",
-      "2\n",
-      "[(39.0, 42.0, 52.0), (41.0, 42.0, 52.0)]\n",
-      "52.0\n",
       "2\n",
-      "[(41.0, 42.0, 52.0), (41.0, 42.0, 54.0)]\n",
-      "41.0\n",
+      "53.0\n",
       "0\n",
-      "[(41.0, 42.0, 54.0), (41.0, 42.0, 56.0)]\n",
-      "54.0\n",
-      "2\n",
-      "[(41.0, 42.0, 56.0), (41.0, 42.0, 57.0)]\n",
-      "56.0\n",
-      "2\n",
-      "[(41.0, 42.0, 57.0), (39.0, 42.0, 57.0)]\n",
-      "57.0\n",
+      "41.0\n",
       "2\n",
-      "[(39.0, 42.0, 57.0), (39.0, 42.0, 53.0)]\n",
+      "51.0\n",
+      "0\n",
       "39.0\n",
       "0\n",
-      "[(39.0, 42.0, 53.0), (39.0, 45.0, 53.0)]\n",
-      "53.0\n",
+      "37.0\n",
       "2\n",
-      "[(39.0, 45.0, 53.0), (39.0, 46.0, 53.0)]\n",
+      "49.0\n",
+      "0\n",
+      "40.0\n",
+      "0\n",
+      "41.0\n",
+      "0\n",
+      "40.0\n",
+      "1\n",
       "45.0\n",
       "1\n",
-      "[(39.0, 46.0, 53.0), (39.0, 45.0, 53.0)]\n",
       "46.0\n",
+      "0\n",
+      "39.0\n",
       "1\n",
-      "[(39.0, 45.0, 53.0), (39.0, 44.0, 53.0)]\n",
       "45.0\n",
       "1\n",
-      "[(39.0, 44.0, 53.0), (39.0, 44.0, 57.0)]\n",
       "44.0\n",
       "1\n",
-      "[(39.0, 44.0, 57.0), (39.0, 44.0, 55.0)]\n",
-      "57.0\n",
-      "2\n",
-      "[(39.0, 44.0, 55.0), (39.0, 44.0, 54.0)]\n",
-      "55.0\n",
-      "2\n",
-      "[(39.0, 44.0, 54.0), (39.0, 45.0, 54.0)]\n",
-      "54.0\n",
-      "2\n",
-      "[(39.0, 45.0, 54.0), (39.0, 45.0, 51.0)]\n",
       "45.0\n",
       "1\n",
-      "[(39.0, 45.0, 51.0), (39.0, 44.0, 51.0)]\n",
-      "51.0\n",
-      "2\n",
-      "[(39.0, 44.0, 51.0), (39.0, 42.0, 51.0)]\n",
       "44.0\n",
       "1\n",
-      "[(39.0, 42.0, 51.0), (40.0, 42.0, 51.0)]\n",
       "42.0\n",
       "1\n",
-      "[(40.0, 42.0, 51.0), (40.0, 41.0, 51.0)]\n",
-      "40.0\n",
-      "0\n",
-      "[(40.0, 41.0, 51.0), (40.0, 39.0, 51.0)]\n",
       "41.0\n",
       "1\n",
-      "[(40.0, 39.0, 51.0), (36.0, 39.0, 51.0)]\n",
       "39.0\n",
-      "1\n",
-      "[(36.0, 39.0, 51.0), (36.0, 39.0, 53.0)]\n",
-      "36.0\n",
       "0\n",
-      "[(36.0, 39.0, 53.0), (36.0, 39.0, 51.0)]\n",
+      "40.0\n",
+      "0\n",
+      "39.0\n",
+      "2\n",
+      "52.0\n",
+      "2\n",
       "53.0\n",
       "2\n",
-      "[(36.0, 39.0, 51.0), (36.0, 44.0, 51.0)]\n",
+      "52.0\n",
+      "0\n",
+      "37.0\n",
+      "2\n",
+      "51.0\n",
+      "0\n",
+      "36.0\n",
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+      "52.0\n",
+      "2\n",
       "51.0\n",
       "2\n",
-      "[(36.0, 44.0, 51.0), (36.0, 45.0, 51.0)]\n",
+      "49.0\n",
+      "2\n",
+      "48.0\n",
+      "0\n",
+      "34.0\n",
+      "2\n",
+      "46.0\n",
+      "1\n",
       "44.0\n",
       "1\n",
-      "[(36.0, 45.0, 51.0), (41.0, 45.0, 51.0)]\n",
       "45.0\n",
-      "1\n",
-      "[(41.0, 45.0, 51.0), (41.0, 47.0, 51.0)]\n",
-      "41.0\n",
+      "2\n",
+      "51.0\n",
+      "2\n",
+      "52.0\n",
+      "0\n",
+      "39.0\n",
+      "0\n",
+      "40.0\n",
+      "0\n",
+      "42.0\n",
+      "0\n",
+      "44.0\n",
       "0\n",
-      "[(41.0, 47.0, 51.0), (41.0, 47.0, 49.0)]\n",
+      "45.0\n",
+      "1\n",
       "47.0\n",
       "1\n",
-      "[(41.0, 47.0, 49.0), (41.0, 49.0, 49.0)]\n",
-      "49.0\n",
-      "2\n",
-      "[(41.0, 49.0, 49.0), (41.0, 50.0, 49.0)]\n",
       "49.0\n",
       "1\n",
-      "[(41.0, 50.0, 49.0), (41.0, 50.0, 48.0)]\n",
       "50.0\n",
-      "1\n",
-      "[(41.0, 50.0, 48.0), (39.0, 50.0, 48.0)]\n",
-      "48.0\n",
       "2\n",
-      "[(39.0, 50.0, 48.0), (39.0, 46.0, 48.0)]\n",
-      "39.0\n",
-      "0\n",
-      "[(39.0, 46.0, 48.0), (37.0, 46.0, 48.0)]\n",
-      "46.0\n",
-      "1\n",
-      "[(37.0, 46.0, 48.0), (37.0, 46.0, 49.0)]\n",
-      "37.0\n",
+      "54.0\n",
       "0\n",
-      "[(37.0, 46.0, 49.0), (37.0, 46.0, 51.0)]\n",
-      "49.0\n",
-      "2\n",
-      "[(37.0, 46.0, 51.0), (37.0, 46.0, 50.0)]\n",
-      "51.0\n",
+      "41.0\n",
       "2\n",
-      "[(37.0, 46.0, 50.0), (37.0, 50.0, 50.0)]\n",
-      "50.0\n",
+      "56.0\n",
       "2\n",
-      "[(37.0, 50.0, 50.0), (37.0, 50.0, 52.0)]\n",
+      "57.0\n",
+      "1\n",
+      "46.0\n",
+      "1\n",
       "50.0\n",
       "1\n",
-      "[(37.0, 50.0, 52.0), (37.0, 50.0, 53.0)]\n",
-      "52.0\n",
-      "2\n",
-      "[(37.0, 50.0, 53.0), (37.0, 48.0, 53.0)]\n",
-      "53.0\n",
-      "2\n",
-      "[(37.0, 48.0, 53.0), (37.0, 47.0, 53.0)]\n",
       "48.0\n",
       "1\n",
-      "[(37.0, 47.0, 53.0), (37.0, 44.0, 53.0)]\n",
       "47.0\n",
       "1\n",
-      "[(37.0, 44.0, 53.0), (37.0, 44.0, 51.0)]\n",
       "44.0\n",
-      "1\n",
-      "[(37.0, 44.0, 51.0), (37.0, 44.0, 55.0)]\n",
-      "51.0\n",
-      "2\n",
-      "[(37.0, 44.0, 55.0), (37.0, 44.0, 57.0)]\n",
-      "55.0\n",
-      "2\n",
-      "[(37.0, 44.0, 57.0), (37.0, 44.0, 56.0)]\n",
-      "57.0\n",
-      "2\n",
-      "[(37.0, 44.0, 56.0), (40.0, 44.0, 56.0)]\n",
-      "56.0\n",
       "2\n",
-      "[(40.0, 44.0, 56.0), (41.0, 44.0, 56.0)]\n",
-      "40.0\n",
+      "53.0\n",
       "0\n",
-      "[(41.0, 44.0, 56.0), (40.0, 44.0, 56.0)]\n",
-      "41.0\n",
+      "45.0\n",
       "0\n",
-      "[(40.0, 44.0, 56.0), (40.0, 44.0, 57.0)]\n",
-      "40.0\n",
+      "43.0\n",
+      "0\n",
+      "42.0\n",
       "0\n",
-      "[(40.0, 44.0, 57.0), (40.0, 44.0, 56.0)]\n",
+      "39.0\n",
+      "2\n",
       "57.0\n",
       "2\n",
-      "[(40.0, 44.0, 56.0), (40.0, 44.0, 53.0)]\n",
-      "56.0\n",
+      "55.0\n",
       "2\n",
-      "[(40.0, 44.0, 53.0), (39.0, 44.0, 53.0)]\n",
-      "53.0\n",
+      "54.0\n",
       "2\n",
-      "[(39.0, 44.0, 53.0), (39.0, 44.0, 51.0)]\n",
-      "39.0\n",
-      "0\n",
-      "[(39.0, 44.0, 51.0), (39.0, 46.0, 51.0)]\n",
       "51.0\n",
-      "2\n",
-      "[(39.0, 46.0, 51.0), (40.0, 46.0, 51.0)]\n",
-      "46.0\n",
+      "0\n",
+      "41.0\n",
       "1\n",
-      "[(40.0, 46.0, 51.0), (39.0, 46.0, 51.0)]\n",
-      "40.0\n",
+      "46.0\n",
+      "2\n",
+      "53.0\n",
       "0\n",
-      "[(39.0, 46.0, 51.0), (39.0, 44.0, 51.0)]\n",
       "39.0\n",
-      "0\n",
-      "[(39.0, 44.0, 51.0), (37.0, 44.0, 51.0)]\n",
-      "44.0\n",
       "1\n",
-      "[(37.0, 44.0, 51.0), (36.0, 44.0, 51.0)]\n",
-      "37.0\n",
-      "0\n",
-      "[(36.0, 44.0, 51.0), (34.0, 44.0, 51.0)]\n",
-      "36.0\n",
-      "0\n",
-      "[(34.0, 44.0, 51.0), (34.0, 44.0, 53.0)]\n",
-      "34.0\n",
-      "0\n",
-      "[(34.0, 44.0, 53.0), (34.0, 44.0, 51.0)]\n",
-      "53.0\n",
+      "44.0\n",
       "2\n",
-      "[(34.0, 44.0, 51.0), (34.0, 42.0, 51.0)]\n",
       "51.0\n",
-      "2\n",
-      "[(34.0, 42.0, 51.0), (34.0, 41.0, 51.0)]\n",
+      "1\n",
       "42.0\n",
       "1\n",
-      "[(34.0, 41.0, 51.0), (39.0, 41.0, 51.0)]\n",
       "41.0\n",
-      "1\n",
-      "[(39.0, 41.0, 51.0), (40.0, 41.0, 51.0)]\n",
-      "39.0\n",
       "0\n",
-      "[(40.0, 41.0, 51.0), (40.0, 41.0, 48.0)]\n",
-      "40.0\n",
+      "37.0\n",
       "0\n",
-      "[(40.0, 41.0, 48.0), (40.0, 42.0, 48.0)]\n",
-      "48.0\n",
-      "2\n",
-      "[(40.0, 42.0, 48.0), (40.0, 42.0, 49.0)]\n",
+      "36.0\n",
+      "1\n",
       "42.0\n",
+      "0\n",
+      "37.0\n",
       "1\n",
-      "[(40.0, 42.0, 49.0), (40.0, 44.0, 49.0)]\n",
-      "49.0\n",
-      "2\n",
-      "[(40.0, 44.0, 49.0), (40.0, 44.0, 46.0)]\n",
       "44.0\n",
-      "1\n",
-      "[(40.0, 44.0, 46.0), (40.0, 44.0, 53.0)]\n",
-      "46.0\n",
+      "0\n",
+      "39.0\n",
       "2\n",
-      "[(40.0, 44.0, 53.0), (40.0, 44.0, 54.0)]\n",
-      "53.0\n",
+      "49.0\n",
       "2\n",
-      "[(40.0, 44.0, 54.0), (40.0, 44.0, 49.0)]\n",
-      "54.0\n",
+      "48.0\n",
       "2\n",
-      "[(40.0, 44.0, 49.0), (40.0, 43.0, 49.0)]\n",
       "49.0\n",
       "2\n",
-      "[(40.0, 43.0, 49.0), (42.0, 45.0, 49.0)]\n",
+      "51.0\n",
+      "2\n",
+      "50.0\n",
+      "1\n",
       "43.0\n",
+      "2\n",
+      "52.0\n",
+      "2\n",
+      "53.0\n",
       "1\n",
-      "[(42.0, 45.0, 49.0), (42.0, 46.0, 49.0)]\n",
-      "42.0\n",
-      "0\n",
-      "[(42.0, 46.0, 49.0), (44.0, 46.0, 49.0)]\n",
-      "46.0\n",
+      "45.0\n",
       "1\n",
-      "[(44.0, 46.0, 49.0), (45.0, 46.0, 49.0)]\n",
-      "44.0\n",
+      "46.0\n",
       "0\n",
-      "[(45.0, 46.0, 49.0), (45.0, 44.0, 49.0)]\n",
-      "45.0\n",
+      "38.0\n",
+      "0\n",
+      "40.0\n",
       "0\n",
-      "[(45.0, 44.0, 49.0), (41.0, 44.0, 49.0)]\n",
+      "41.0\n",
+      "1\n",
       "44.0\n",
       "1\n",
-      "[(41.0, 44.0, 49.0), (41.0, 48.0, 51.0)]\n",
-      "41.0\n",
-      "0\n",
-      "[(41.0, 48.0, 51.0), (41.0, 50.0, 51.0)]\n",
       "48.0\n",
       "1\n",
-      "[(41.0, 50.0, 51.0), (41.0, 49.0, 51.0)]\n",
       "50.0\n",
       "1\n",
-      "[(41.0, 49.0, 51.0), (41.0, 49.0, 48.0)]\n",
       "49.0\n",
-      "1\n",
-      "[(41.0, 49.0, 48.0), (41.0, 50.0, 48.0)]\n",
-      "48.0\n",
       "2\n",
-      "[(41.0, 50.0, 48.0), (41.0, 50.0, 51.0)]\n",
+      "55.0\n",
+      "0\n",
+      "39.0\n",
+      "2\n",
+      "57.0\n",
+      "0\n",
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-       " (0.8, 44.0, 0, -100.0),\n",
-       " (0.775, 41.0, 0, -300.0)]"
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+       " (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": 342,
+     "execution_count": 14,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -1734,39 +1627,92 @@
     "        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([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",
-    "            yield (dur / 40, last_val, ins, dev * 100)\n",
-    "\n",
-    "            #if first_flag or dur < 10:\n",
-    "            #    yield (10 / 40.0, last_val, ins, dev * 100)\n",
-    "            #    first_flag = False\n",
-    "            #else:\n",
-    "            #    size = int(dur / 10)\n",
-    "\n",
-    "            #   b_dur = randint(5, 10)\n",
-    "            #    yield (randint(5, 10) / 40.0, last_val, ins, dev * 100)\n",
-    "            #    for i in range(size):\n",
-    "            #        yield (randint(5, 10) / 40.0, last_val, ins, 0.0)\n",
-    "                    \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 = [i for i, m in enumerate(m1) if m1[i] != m2[i]][0]\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",
@@ -1778,20 +1724,26 @@
     "#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(m - 12 for m in midi for r in range(2)),\n",
-    "#    tuple(midi[0] - 7 for i in range(1 * 40)) + tuple(m - 7 for m in midi for r in range(2)) + tuple(midi[-1] - 12 for i in range(5 * 40)),\n",
-    "#    tuple(m - 0 for m in midi) + tuple(midi[-1] - 0 for i in range(10 * 40)))\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(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(randint(1, 2))] for m in midi))) + tuple(midi[-1] - 0 for i in range(10 * 40)))\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",
-    "#midi = zip(\n",
-    "#    tuple(m - 24 for m in midi) + tuple(midi[-1] - 24 for i in range(5 * 40)),\n",
-    "#    tuple(midi[0] - 12 for i in range(3 * 40)) + tuple(m - 12 for m in midi) + tuple(midi[-1] - 12 for i in range(2 * 40)),\n",
-    "#    tuple(midi[0] - 0 for i in range(5 * 40)) + tuple(m - 0 for m in midi))\n",
+    "#for m in list(midi):\n",
+    "#    print(m)\n",
     "\n",
     "target_melody_data = list(filter_midi(list(midi)))\n",
     "target_melody_data\n",
@@ -1807,29 +1759,70 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 319,
-   "id": "2b311f14-5061-4f51-9ee7-bd19a1d938fc",
+   "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": [
-       "(1, 1, 2, 2, 2, 2, 3, 3, 3)"
+       "range(0, 1)"
       ]
      },
-     "execution_count": 319,
+     "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": [
-    "tuple(chain(*tuple([m for r in range(randint(2, 4))] for m in [1, 2, 3])))"
+    "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": 380,
-   "id": "be01e4ae-e629-42ff-9d95-f77d510c13bf",
+   "execution_count": 151,
+   "id": "fb2ad9ad-7a8c-4f84-ab0c-9c1f1ecdb8a8",
    "metadata": {
     "scrolled": true
    },
@@ -1838,665 +1831,6963 @@
      "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",
+      "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",
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+      "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",
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+      "(0.025, 37.0, 0, 100.0)\n",
+      "---\n",
+      "(139.2, 49.0, 2, None)\n",
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+      "---\n",
+      "(139.35, 39.0, 0, 39.0)\n",
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+      "---\n",
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+      "---\n",
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+      "---\n",
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+      "---\n",
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+      "---\n",
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+      "(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"
+     ]
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+       " (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",
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+       " (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",
-      "((0, 0, 0, 0), (5, 0, -2, 0), (3, 0, -1, 0))\n",
-      "(-184.35871299944722, 313.68628613516546, 700.0)\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",
-      "((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",
+      "[-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",
-      "((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",
-      "(-1066.762425133507, -568.7174259988941, -70.6724268642821)\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",
-      "((0, 0, 0, 0), (2, -1, 0, 0), (4, -2, 0, 0))\n",
-      "(-66.7624251335069, 431.2825740011059, 635.1925757318802)\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",
-      "((0, 0, 0, 0), (2, -1, 0, 0), (-1, 1, 0, 0))\n",
-      "(-1166.762425133507, -668.7174259988941, -170.6724268642821)\n",
-      "1100.0\n",
-      "((0, 0, 0, 0), (2, -1, 0, 0), (4, -2, 0, 0))\n",
-      "(-884.3587129994469, -568.7174259988941, -70.6724268642821)\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",
-      "((0, 0, 0, 0), (1, 1, -1, 0), (3, 0, -1, 0))\n",
-      "(15.64128700055312, 331.2825740011059, 717.59628786594)\n",
-      "-900.0\n",
-      "((0, 0, 0, 0), (1, 1, -1, 0), (-1, 1, 0, 0))\n",
-      "(-684.3587129994469, -186.31371386483454, 17.596287865939985)\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",
-      "((0, 0, 0, 0), (2, -1, 0, 0), (-1, 1, 0, 0))\n",
-      "(-584.3587129994469, -113.5778056649346, 117.59628786593998)\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",
-      "((0, 0, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0))\n",
-      "(284.467193469678, 986.4221943350653, 1217.59628786594)\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",
-      "((0, 0, 0, 0), (-1, 1, 0, 0), (2, 1, 0, -1))\n",
-      "(-415.532806530322, 286.42219433506534, 398.15347960484314)\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",
-      "((0, 0, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0))\n",
-      "(384.467193469678, 811.8397657400083, 1198.1534796048431)\n",
-      "-800.0\n",
-      "((0, 0, 0, 0), (5, 0, -2, 0), (3, 0, -1, 0))\n",
-      "(-1115.532806530322, -729.2190926654873, -301.84652039515686)\n",
-      "1500.0\n",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (3, 0, -1, 0))\n",
-      "(-515.532806530322, -129.21909266548732, -17.48780739570975)\n",
-      "-600.0\n",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (2, -1, 0, 0))\n",
-      "(-415.532806530322, -303.8015212605444, 82.51219260429025)\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",
-      "((0, 0, 0, 0), (4, -1, -1, 0), (2, -1, 0, 0))\n",
-      "(-1315.532806530322, -1203.8015212605444, -501.84652039515686)\n",
-      "900.0\n",
-      "((0, 0, 0, 0), (4, -1, -1, 0), (3, 0, -1, 0))\n",
-      "(-1115.532806530322, -799.8915195297693, -301.84652039515686)\n",
-      "-200.0\n",
-      "((0, 0, 0, 0), (1, 1, -1, 0), (3, 0, -1, 0))\n",
-      "(-215.53280653032198, 100.10848047023069, 486.4221943350652)\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",
-      "((0, 0, 0, 0), (1, 1, -1, 0), (-1, 1, 0, 0))\n",
-      "(-227.26409180009978, 200.1084804702307, 586.4221943350652)\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",
-      "((0, 0, 0, 0), (5, 0, -2, 0), (3, 0, -1, 0))\n",
-      "(172.73590819990022, 755.2481008041905, 986.4221943350652)\n",
-      "-400.0\n",
-      "((0, 0, 0, 0), (0, 0, -1, 1), (3, 0, -1, 0))\n",
-      "(-1327.2640918000998, -744.7518991958095, -358.4381853309751)\n",
-      "1500.0\n",
-      "((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1))\n",
-      "(-731.0656130606444, -344.75189919580953, 41.5618146690249)\n",
-      "-400.0\n",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0))\n",
-      "(-331.0656130606444, 55.24810080419047, 166.9793860739677)\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",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (2, -1, 0, 0))\n",
-      "(168.9343869393556, 435.80529254309295, 666.9793860739677)\n",
-      "-500.0\n",
-      "((0, 0, 0, 0), (-1, -1, 0, 1), (2, -1, 0, 0))\n",
-      "(-1077.8809935920724, -264.19470745690705, -33.0206139260323)\n",
-      "700.0\n",
-      "((0, 0, 0, 0), (3, 0, -1, 0), (6, 0, -1, -1))\n",
-      "(-1701.8465203951573, -964.194707456907, -733.0206139260323)\n",
-      "700.0\n",
-      "((0, 0, 0, 0), (-5, 0, 0, 2), (-2, 0, 0, 1))\n",
-      "(-246.70690006119753, 335.80529254309295, 566.9793860739677)\n",
-      "-1300.0\n",
-      "((0, 0, 0, 0), (0, 0, -1, 1), (3, 0, -1, 0))\n",
-      "(-146.70690006119753, 168.9343869393556, 666.9793860739677)\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",
-      "((0, 0, 0, 0), (1, 1, -1, 0), (3, 0, -1, 0))\n",
-      "(-646.7069000611975, -331.0656130606444, 55.24810080418979)\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",
-      "((0, 0, 0, 0), (1, 1, -1, 0), (-1, 1, 0, 0))\n",
-      "(-1346.7069000611975, -1031.0656130606444, -533.0206139260323)\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",
-      "((0, 0, 0, 0), (1, 1, -1, 0), (3, 0, -1, 0))\n",
-      "(-1217.3793269254795, -831.0656130606444, -333.0206139260323)\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",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (0, -1, 1, 0))\n",
-      "(-817.3793269254795, -431.0656130606444, -3.693040790314285)\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",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (3, 0, -1, 0))\n",
-      "(-1517.3793269254795, -1131.0656130606444, -429.11061219525743)\n",
-      "700.0\n",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0))\n",
-      "(-1617.3793269254795, -915.4243260600917, -529.1106121952574)\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",
-      "((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0))\n",
-      "(-17.379326925479518, 684.5756739399083, 796.3069592096857)\n",
-      "-1600.0\n",
-      "((0, 0, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0))\n",
-      "(-1517.3793269254795, -815.4243260600917, -429.11061219525754)\n",
-      "1500.0\n",
-      "((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0))\n",
-      "(82.62067307452048, 784.5756739399083, 896.3069592096856)\n",
-      "-1600.0\n",
-      "((0, 0, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0))\n",
-      "(-417.3793269254795, 80.66567220913328, 396.3069592096856)\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",
-      "((0, 0, 0, 0), (2, -1, 0, 0), (3, 0, -1, 0))\n",
-      "(-1417.3793269254795, -919.3343277908667, -421.2893286562546)\n",
-      "1000.0\n",
-      "((0, 0, 0, 0), (2, -1, 0, 0), (4, -2, 0, 0))\n",
-      "(-1223.244329521642, -1019.3343277908667, -521.2893286562546)\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",
-      "((0, 0, 0, 0), (-3, 2, 0, 0), (-1, 1, 0, 0))\n",
-      "(-1234.9756147914197, -919.3343277908667, -421.2893286562546)\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",
-      "((0, 0, 0, 0), (1, 1, -1, 0), (3, 0, -1, 0))\n",
-      "(-1034.9756147914197, -803.8015212605446, -221.2893286562546)\n",
-      "-200.0\n",
-      "((0, 0, 0, 0), (3, 0, 0, -1), (3, 0, -1, 0))\n",
-      "(-934.9756147914197, -703.8015212605446, -1.846520395157654)\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",
-      "((0, 0, 0, 0), (3, 0, 0, -1), (2, 1, 0, -1))\n",
-      "(-734.9756147914197, -503.80152126054463, -33.020613926032524)\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",
-      "((0, 0, 0, 0), (3, 0, 0, -1), (-1, 1, 0, 0))\n",
-      "(-734.9756147914197, -419.3343277908667, -33.020613926032524)\n",
-      "0.0\n",
-      "((0, 0, 0, 0), (1, 1, -1, 0), (-1, 1, 0, 0))\n",
-      "(-301.8465203951573, 280.6656722091333, 666.9793860739675)\n",
-      "-700.0\n",
-      "((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1))\n",
-      "(-801.8465203951573, -219.33432779086672, 11.83976574000792)\n",
-      "500.0\n",
-      "((0, 0, 0, 0), (0, 0, -1, 1), (3, 0, -1, 0))\n",
-      "(-517.3793269254793, -19.334327790866723, 211.83976574000792)\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",
-      "((0, 0, 0, 0), (2, -1, 0, 0), (5, -1, 0, -1))\n",
-      "(-1417.3793269254793, -919.3343277908667, -421.2893286562545)\n",
-      "900.0\n",
-      "((0, 0, 0, 0), (2, -1, 0, 0), (4, -2, 0, 0))\n",
-      "(-1490.115235125379, -1019.3343277908667, -521.2893286562545)\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",
-      "((0, 0, 0, 0), (-4, 1, 0, 1), (-2, 0, 0, 1))\n",
-      "(-390.11523512537906, 80.66567220913328, 311.83976574000803)\n",
-      "-1100.0\n",
-      "((0, 0, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0))\n",
-      "(-1690.115235125379, -1219.3343277908666, -721.2893286562545)\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",
-      "((0, 0, 0, 0), (-4, 1, 0, 1), (-2, 0, 0, 1))\n",
-      "(-1890.115235125379, -1152.463422187129, -921.2893286562545)\n",
-      "200.0\n",
-      "((0, 0, 0, 0), (-5, 0, 0, 2), (-2, 0, 0, 1))\n",
-      "(-1519.3343277908666, -1252.463422187129, -1021.2893286562545)\n",
-      "100.0\n",
-      "((0, 0, 0, 0), (-1, -1, 0, 1), (2, -1, 0, 0))\n",
-      "(-34.9756147914195, 547.536577812871, 778.7106713437455)\n",
-      "-1800.0\n",
-      "((0, 0, 0, 0), (0, 0, -1, 1), (3, 0, -1, 0))\n",
-      "(-1434.9756147914195, -852.463422187129, -466.14970832229494)\n",
-      "1400.0\n",
-      "((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1))\n",
-      "(-634.9756147914195, -52.46342218712903, 178.7106713437455)\n",
-      "-800.0\n",
-      "((0, 0, 0, 0), (0, 0, -1, 1), (3, 0, -1, 0))\n",
-      "(-538.777136051964, -152.46342218712903, 78.7106713437455)\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",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (1, 0, 1, -1))\n",
-      "(-438.777136051964, -52.46342218712903, 59.26786308264832)\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",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (2, -1, 0, 0))\n",
-      "(-338.777136051964, -71.90623044822655, 159.26786308264832)\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",
-      "((0, 0, 0, 0), (-1, -1, 0, 1), (2, -1, 0, 0))\n",
-      "(-1638.7771360519641, -1371.9062304482266, -669.9512295828392)\n",
-      "1300.0\n",
-      "((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1))\n",
-      "(-1438.7771360519641, -1052.463422187129, -469.95122958283923)\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",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (-2, 0, 0, 1))\n",
-      "(-1338.7771360519641, -952.463422187129, -250.50842132174193)\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",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0))\n",
-      "(-438.77713605196413, -52.46342218712903, 59.26786308264832)\n",
-      "-900.0\n",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (2, -1, 0, 0))\n",
-      "(-1038.7771360519641, -652.463422187129, 49.491578678258065)\n",
-      "600.0\n",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0))\n",
-      "(-338.77713605196413, 47.53657781287097, 159.26786308264832)\n",
-      "-700.0\n",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (2, -1, 0, 0))\n",
-      "(-138.77713605196413, 92.39695747891113, 359.2678630826483)\n",
-      "-200.0\n",
-      "((0, 0, 0, 0), (3, 0, 0, -1), (2, -1, 0, 0))\n",
-      "(61.222863948035865, 292.39695747891113, 447.5365778128707)\n",
-      "-200.0\n",
-      "((0, 0, 0, 0), (3, 0, 0, -1), (-2, 0, 1, 0))\n",
-      "(-38.777136051964135, 116.3624842819959, 347.5365778128707)\n",
-      "100.0\n",
-      "((0, 0, 0, 0), (-5, 0, 1, 1), (-2, 0, 1, 0))\n",
-      "(-421.2893286562545, 316.3624842819959, 547.5365778128707)\n",
-      "-200.0\n",
-      "((0, 0, 0, 0), (-5, 0, 0, 2), (-2, 0, 0, 1))\n",
-      "(-121.2893286562545, 461.2228639480362, 847.5365778128707)\n",
-      "-300.0\n",
-      "((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1))\n",
-      "(-1821.2893286562544, -1007.6030425210887, -852.4634221871293)\n",
-      "1700.0\n",
-      "((0, 0, 0, 0), (3, 0, -1, 0), (-2, 0, 0, 1))\n",
-      "(-1621.2893286562544, -807.6030425210887, -576.4289489902139)\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",
-      "((0, 0, 0, 0), (3, 0, -1, 0), (6, 0, -1, -1))\n",
-      "(-921.2893286562544, -107.6030425210887, 47.536577812870746)\n",
-      "-700.0\n",
-      "((0, 0, 0, 0), (3, 0, -1, 0), (-2, 0, 0, 1))\n",
-      "(-1021.2893286562544, -207.6030425210887, 23.57105100978606)\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",
-      "((0, 0, 0, 0), (3, 0, -1, 0), (6, 0, -1, -1))\n",
-      "(-621.2893286562544, 192.3969574789113, 347.53657781287075)\n",
-      "-400.0\n",
-      "((0, 0, 0, 0), (3, 0, -1, 0), (-2, 0, 0, 1))\n",
-      "(-1221.2893286562544, -407.6030425210887, -176.42894899021394)\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",
-      "((0, 0, 0, 0), (3, 0, -1, 0), (6, 0, -1, -1))\n",
-      "(-1078.3839498556015, -607.6030425210887, -376.42894899021394)\n",
-      "200.0\n",
-      "((0, 0, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0))\n",
-      "(-1078.3839498556015, -607.6030425210887, -109.55804338647647)\n",
-      "0.0\n",
-      "((0, 0, 0, 0), (-4, 1, 0, 1), (-2, 0, 0, 1))\n",
-      "(-1178.3839498556015, -440.73213691735117, -209.55804338647647)\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",
-      "((0, 0, 0, 0), (-5, 0, 0, 2), (-2, 0, 0, 1))\n",
-      "(-627.0458507821862, -240.73213691735117, -9.55804338647647)\n",
-      "-200.0\n",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (1, 0, 1, -1))\n",
-      "(272.9541492178138, 659.2678630826488, 770.9991483524263)\n",
-      "-900.0\n",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (2, -1, 0, 0))\n",
-      "(-427.0458507821862, -160.17494517844875, 70.99914835242635)\n",
-      "700.0\n",
-      "((0, 0, 0, 0), (-1, -1, 0, 1), (2, -1, 0, 0))\n",
-      "(472.9541492178138, 859.2678630826488, 970.9991483524263)\n",
-      "-900.0\n",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (2, -1, 0, 0))\n",
-      "(-727.0458507821862, -340.7321369173512, -25.09084991679856)\n",
-      "1200.0\n",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (-1, 1, 0, 0))\n",
-      "(-927.0458507821862, -540.7321369173512, -42.68713778273866)\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",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (0, -1, 1, 0))\n",
-      "(-827.0458507821862, -440.7321369173512, -13.359564647020647)\n",
-      "-100.0\n",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (3, 0, -1, 0))\n",
-      "(-827.0458507821862, -329.0008516475736, -13.359564647020647)\n",
-      "0.0\n",
-      "((0, 0, 0, 0), (2, -1, 0, 0), (3, 0, -1, 0))\n",
-      "(-1027.0458507821863, -529.0008516475737, -30.95585251296086)\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",
-      "((0, 0, 0, 0), (2, -1, 0, 0), (4, -2, 0, 0))\n",
-      "(-944.6421386481263, -629.0008516475737, -130.95585251296086)\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",
-      "((0, 0, 0, 0), (1, 1, -1, 0), (3, 0, -1, 0))\n",
-      "(-444.6421386481263, -129.00085164757365, 257.3128622172612)\n",
-      "-500.0\n",
-      "((0, 0, 0, 0), (1, 1, -1, 0), (-1, 1, 0, 0))\n",
-      "(-611.5130442518639, -29.000851647573654, 357.3128622172612)\n",
-      "-100.0\n",
-      "((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1))\n",
-      "(-311.5130442518639, 270.99914835242635, 502.17324188330167)\n",
-      "-300.0\n",
-      "((0, 0, 0, 0), (0, 0, -1, 1), (3, 0, -1, 0))\n",
-      "(-1011.5130442518639, -429.00085164757365, -42.68713778273877)\n",
-      "700.0\n",
-      "((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1))\n",
-      "(-1411.513044251864, -940.7321369173515, -442.6871377827388)\n",
-      "400.0\n",
-      "((0, 0, 0, 0), (-4, 1, 0, 1), (-2, 0, 0, 1))\n",
-      "(-1527.045850782186, -1140.7321369173515, -642.6871377827388)\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",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (0, -1, 1, 0))\n",
-      "(-1427.045850782186, -1040.7321369173515, -338.7771360519639)\n",
-      "-100.0\n",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0))\n",
-      "(172.9541492178139, 559.2678630826485, 670.9991483524263)\n",
-      "-1600.0\n",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (2, -1, 0, 0))\n",
-      "(72.95414921781389, 184.68543448759146, 570.9991483524263)\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",
-      "((0, 0, 0, 0), (4, -1, -1, 0), (2, -1, 0, 0))\n",
-      "(-30.95585251296106, 284.68543448759146, 670.9991483524263)\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",
-      "((0, 0, 0, 0), (1, 1, -1, 0), (-1, 1, 0, 0))\n",
-      "(-1730.955852512961, -1415.3145655124085, -917.2695663777957)\n",
-      "1700.0\n",
-      "((0, 0, 0, 0), (1, 1, -1, 0), (3, 0, -1, 0))\n",
-      "(-1813.359564647021, -1315.3145655124085, -817.2695663777957)\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",
-      "((0, 0, 0, 0), (2, -1, 0, 0), (4, -2, 0, 0))\n",
-      "(-1401.6282793772432, -1015.3145655124085, -517.2695663777957)\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",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (0, -1, 1, 0))\n",
-      "(-1.6282793772431887, 384.68543448759146, 496.4167197573694)\n",
-      "-1400.0\n",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (2, -1, 0, 0))\n",
-      "(-1201.6282793772432, -815.3145655124085, -113.35956464702076)\n",
-      "1200.0\n",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0))\n",
-      "(-701.6282793772432, -315.31456551240854, 0.32672148814447155)\n",
-      "-500.0\n",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (-1, 1, 0, 0))\n",
-      "(-101.62827937724319, 284.68543448759146, 396.4167197573695)\n",
-      "-600.0\n",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (2, -1, 0, 0))\n",
-      "(-1.6282793772431887, 110.10300589253438, 496.4167197573695)\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",
-      "((0, 0, 0, 0), (4, -1, -1, 0), (2, -1, 0, 0))\n",
-      "(-776.2107079723003, -389.8969941074656, -3.583280242630508)\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",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (-4, 0, 2, 0))\n",
-      "(-76.21070797230027, 310.1030058925344, 421.8342911623123)\n",
-      "-700.0\n",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (2, -1, 0, 0))\n",
-      "(-291.851994972853, 410.1030058925344, 521.8342911623123)\n",
-      "-100.0\n",
-      "((0, 0, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0))\n",
-      "(-91.85199497285299, 335.52057729747736, 721.8342911623123)\n",
-      "-200.0\n",
-      "((0, 0, 0, 0), (5, 0, -2, 0), (3, 0, -1, 0))\n",
-      "(-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",
-      "((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0))\n",
-      "(-891.8519949728529, -189.89699410746562, 41.27709942340914)\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",
-      "((0, 0, 0, 0), (-1, 1, 0, 0), (2, 1, 0, -1))\n",
-      "(-791.8519949728529, -89.89699410746562, 21.834291162312184)\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",
-      "((0, 0, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0))\n",
-      "(-591.8519949728529, -276.21070797230016, 221.83429116231218)\n",
-      "-200.0\n",
-      "((0, 0, 0, 0), (1, 1, -1, 0), (3, 0, -1, 0))\n",
-      "(-691.8519949728529, -376.21070797230016, 10.10300589253427)\n",
-      "100.0\n",
-      "((0, 0, 0, 0), (1, 1, -1, 0), (-1, 1, 0, 0))\n",
-      "(-1491.851994972853, -1176.2107079723, -678.1657088376878)\n",
-      "800.0\n",
-      "((0, 0, 0, 0), (1, 1, -1, 0), (3, 0, -1, 0))\n",
-      "(-891.8519949728529, -505.53828110801805, -78.16570883768782)\n",
-      "-600.0\n",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (3, 0, -1, 0))\n",
-      "(-1591.851994972853, -1205.538281108018, -503.58328024263096)\n",
-      "700.0\n",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0))\n",
-      "(-817.2695663777959, -705.538281108018, -3.5832802426309627)\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",
-      "((0, 0, 0, 0), (4, -1, -1, 0), (3, 0, -1, 0))\n",
-      "(-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",
+      "[-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",
-      "((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",
+      "[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",
-      "((0, 0, 0, 0), (2, -1, 0, 0), (0, -1, 1, 0))\n",
-      "(-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",
+      "[-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",
-      "((0, 0, 0, 0), (-5, 0, 0, 2), (-2, 0, 0, 1))\n",
-      "(-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",
+      "[-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",
-      "((0, 0, 0, 0), (3, 0, 0, -1), (3, 0, -1, 0))\n",
-      "(-697.8267581166988, -466.6526645858237, 4.128242748688194)\n",
-      "-100.0\n",
-      "((0, 0, 0, 0), (3, 0, 0, -1), (-1, 1, 0, 0))\n",
-      "(-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",
+      "[-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",
-      "((0, 0, 0, 0), (-5, 0, 1, 1), (-2, 0, 0, 1))\n",
-      "(-1121.7922849197837, -854.9213793160461, -152.96637845065902)\n",
-      "-100.0\n",
-      "((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1))\n",
-      "(-1021.7922849197837, -790.6181913889084, -52.96637845065902)\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",
-      "((0, 0, 0, 0), (3, 0, 0, -1), (-2, 0, 0, 1))\n",
-      "(-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",
+      "[-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",
-      "((0, 0, 0, 0), (-5, 0, 1, 1), (-2, 0, 0, 1))\n",
-      "(-1421.7922849197837, -1190.6181913889084, -376.9319052537437)\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",
-      "((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",
+      "[-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",
-      "((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",
+      "[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",
-      "((0, 0, 0, 0), (4, -1, -1, 0), (3, 0, -1, 0))\n",
-      "(-1210.060999650006, -823.7472857851706, -396.37471351484066)\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",
-      "((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",
+      "[-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",
-      "((0, 0, 0, 0), (-1, -1, 0, 1), (2, -1, 0, 0))\n",
-      "(-241.23509318088088, 256.8099059537319, 487.98399948460644)\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",
-      "((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",
+      "[-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",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (0, -1, 1, 0))\n",
-      "(-1429.5038079111032, -1043.190094046268, -341.2350931808811)\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",
-      "((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",
+      "[-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",
-      "((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",
+      "[-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",
-      "((0, 0, 0, 0), (-5, 0, 1, 1), (-2, 0, 0, 1))\n",
-      "(-98.32971438022832, 56.80990595373191, 287.9839994846068)\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",
-      "((0, 0, 0, 0), (-5, 0, 1, 1), (-2, 0, 1, 0))\n",
-      "(-898.3297143802283, -743.1900940462681, 70.4961920888968)\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",
-      "((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",
+      "[-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",
-      "((0, 0, 0, 0), (-3, 2, 0, 0), (-1, 1, 0, 0))\n",
-      "(-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",
+      "[-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",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (3, 0, -1, 0))\n",
-      "(-858.8313810468205, -472.5176671819861, 25.527331952626355)\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",
-      "((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",
+      "[-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",
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+      "[-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",
-      "((0, 0, 0, 0), (3, 0, 0, -1), (6, 0, 0, -2))\n",
-      "(-903.6917607128607, -672.5176671819861, 29.437333683400993)\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",
-      "((0, 0, 0, 0), (3, 0, 0, -1), (2, 1, 0, -1))\n",
-      "(396.30823928713926, 627.4823328180139, 782.6219531519735)\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",
-      "((0, 0, 0, 0), (3, 0, 0, -1), (-2, 0, 1, 0))\n",
-      "(-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",
-      "((0, 0, 0, 0), (3, 0, 0, -1), (-2, 0, 1, 0))\n",
-      "(-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",
-      "((0, 0, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0))\n",
-      "(-819.3330477134136, -503.6917607128607, -117.37804684802654)\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",
-      "((0, 0, 0, 0), (1, 1, -1, 0), (-1, 1, 0, 0))\n",
-      "(-1519.3330477134136, -1203.6917607128607, -705.6467615782486)\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",
-      "((0, 0, 0, 0), (1, 1, -1, 0), (3, 0, -1, 0))\n",
-      "(-1419.3330477134136, -1033.0193338485788, -605.6467615782486)\n",
-      "-100.0\n",
-      "((0, 0, 0, 0), (-2, 0, 1, 0), (3, 0, -1, 0))\n",
-      "(-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",
+      "[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",
-      "((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",
+      "[-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",
-      "((0, 0, 0, 0), (3, 0, 0, -1), (2, -1, 0, 0))\n",
-      "(-419.33304771341363, -188.1589541825386, -33.01933384857915)\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",
-      "((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",
-      "((0, 0, 0, 0), (3, 0, 0, -1), (-2, 0, 1, 0))\n",
-      "(-619.3330477134136, -388.1589541825386, -1.845240317704338)\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",
-      "((0, 0, 0, 0), (3, 0, 0, -1), (1, 0, 1, -1))\n",
-      "(-499.8902394523164, -388.1589541825386, -1.845240317704338)\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",
-      "((0, 0, 0, 0), (4, -1, -1, 0), (2, -1, 0, 0))\n",
-      "(-699.8902394523163, -588.1589541825385, 113.79604668284856)\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",
-      "((0, 0, 0, 0), (4, -1, -1, 0), (3, 0, -1, 0))\n",
-      "(-599.8902394523163, -488.15895418253854, -101.84524031770434)\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",
-      "((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",
+      "[-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",
-      "((0, 0, 0, 0), (4, -1, -1, 0), (2, -1, 0, 0))\n",
-      "(-699.8902394523163, -588.1589541825385, 113.79604668284856)\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",
-      "((0, 0, 0, 0), (4, -1, -1, 0), (3, 0, -1, 0))\n",
-      "(-599.8902394523163, -488.15895418253854, -101.84524031770434)\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",
-      "((0, 0, 0, 0), (4, -1, -1, 0), (2, -1, 0, 0))\n",
-      "(-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"
+      "[-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(graph)\n",
+    "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",
-    "print(durs)\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": 381,
+   "execution_count": 15,
    "id": "57c834bf-fee7-4ef4-b648-2173099fbb56",
    "metadata": {},
    "outputs": [],
@@ -2511,7 +8802,7 @@
     "            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):  \n",
+    "def next_edges(source, last_chords):  \n",
     "\n",
     "    def transpose_to_nearest(hs_array1, hs_array2):\n",
     "        expanded_pitch = hs_array2\n",
@@ -2526,28 +8817,44 @@
     "                expanded_pitch[0] += -1\n",
     "        return tuple(expanded_pitch)\n",
     "        \n",
-    "    def gen_candidates(chord):\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 sdx != cdx:   \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 = list(chord)\n",
-    "                            new_chord[sdx] = tuple(new_pitch_up)\n",
-    "                            #if tuple(new_chord) != 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) != chord:\n",
-    "                                yield tuple(new_chord)\n",
-    "                            new_chord[sdx] = tuple(new_pitch_down)\n",
-    "                            if tuple(new_chord) != chord:\n",
-    "                            #if tuple(new_chord) != chord 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)\n",
-    "\n",
-    "    for candidate in gen_candidates(source):\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",
@@ -2559,23 +8866,3755 @@
     "        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",
+    "# 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",
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+      "[-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",
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+      "[-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",
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+      "[-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",
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+      "[-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",
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+      "[-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",
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+      "[-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",
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+      "[-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",
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+      "[-3450.6370585006316, -633.1290943962625, -401.9550008653873]\n",
+      "((-7, 0, 0, 0, 1), (-4, 0, 0, 1, 0), (-1, 0, 0, 0, 0))\n",
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+      "[-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",
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+      "[-3450.6370585006316, -1050.6370585006307, -401.9550008653873]\n",
+      "((-7, 0, 0, 0, 1), (-5, 0, 0, 0, 1), (-1, 0, 0, 0, 0))\n",
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+      "[-3450.6370585006316, -1215.6412870005527, -401.9550008653873]\n",
+      "0\n",
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+      "[-3450.6370585006316, -1215.6412870005527, -401.9550008653873]\n",
+      "((-7, 0, 0, 0, 1), (-4, 0, 1, 0, 0), (-1, 0, 0, 0, 0))\n",
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+      "1\n",
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+      "((-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",
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+      "[-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([v for val in edge[2]['movements'].values() if (v:=val['cent_difference']) is not None])\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 = [v for val in edge[2]['movements'].values()  if (v:=val['cent_difference']) is not None]\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 10 if ((max_cent_diff(e) < 200) and (min_cent_diff(e)) >= 50) else 1\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",
@@ -2603,15 +12642,6 @@
     "        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 2 * (1/pow(hd_sum(e[1]), 1))\n",
-    "\n",
     "    def is_sustained_voice(edges, voice):\n",
     "        \n",
     "        def is_sustained(edge):\n",
@@ -2624,23 +12654,6 @@
     "        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",
@@ -2685,23 +12698,17 @@
     "    #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",
-    "        out_edges = list(next_edges(next_node))\n",
-    "        target = target_melody_data[len(path)+1][-1]\n",
-    "        ins = target_melody_data[len(path)+1][-2]\n",
+    "        out_edges = list(graph.out_edges(next_node, data=True))\n",
     "        factors = [\n",
-    "            #movement_size_weights(out_edges), \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",
-    "            #favor_bass(out_edges, ins),\n",
-    "            #in_range(out_edges)\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",
@@ -2712,880 +12719,690 @@
     "        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)][-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": "5e4318db-bd43-434a-8c27-5a110e0bd6c4",
+   "metadata": {},
+   "source": [
+    "### model"
+   ]
+  },
   {
    "cell_type": "code",
-   "execution_count": 382,
-   "id": "8912c650-a43d-4539-ae24-b5acf9bc543d",
+   "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",
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       "-500.0\n",
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-      "1\n",
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       "700.0\n",
-      "((-1, 2, -1, 0), (4, 1, -1, -1), (7, 1, -1, -2))\n",
-      "(-1427.2640918001, -698.0449991346122, 3.910001730774411)\n",
-      "2\n",
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       "700.0\n",
-      "((-1, 2, -1, 0), (4, 1, -1, -1), (3, 2, -1, -1))\n",
-      "(103.91000173077487, 601.9550008653878, 1303.9100017307744)\n",
-      "0\n",
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       "-1300.0\n",
-      "((2, 2, -1, -1), (4, 1, -1, -1), (3, 2, -1, -1))\n",
-      "(1.7053025658242404e-13, 701.9550008653878, 1403.9100017307744)\n",
-      "0\n",
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       "-100.0\n",
-      "((5, 0, -1, -1), (4, 1, -1, -1), (3, 2, -1, -1))\n",
-      "(-499.99999999999983, -1.9550008653875466, 903.9100017307744)\n",
-      "1\n",
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       "500.0\n",
-      "((5, 0, -1, -1), (7, -1, -1, -1), (3, 2, -1, -1))\n",
-      "(-1199.9999999999998, -701.9550008653875, -2.2737367544323206e-13)\n",
-      "2\n",
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       "700.0\n",
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       "-200.0\n",
-      "((5, 0, -1, -1), (7, -1, -1, -1), (9, -2, -1, -1))\n",
-      "(-599.9999999999998, 9.776284404390367, 396.0899982692249)\n",
-      "1\n",
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+      "(-817.3793269254795, -431.0656130606444, -3.693040790314285)\n",
       "-400.0\n",
-      "((5, 0, -1, -1), (11, -2, -2, -1), (9, -2, -1, -1))\n",
-      "(-1299.9999999999998, -690.2237155956096, 11.731285269777572)\n",
-      "2\n",
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+      "(-1517.3793269254795, -1131.0656130606444, -429.11061219525743)\n",
       "700.0\n",
-      "((5, 0, -1, -1), (11, -2, -2, -1), (10, -1, -2, -1))\n",
-      "(-1399.9999999999998, -790.2237155956096, 23.462570539555372)\n",
-      "2\n",
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+      "(-1617.3793269254795, -915.4243260600917, -529.1106121952574)\n",
       "100.0\n",
-      "((5, 0, -1, -1), (11, -2, -2, -1), (14, -2, -3, -1))\n",
-      "(-3.9100017307746384, 809.7762844043904, 1623.4625705395554)\n",
-      "0\n",
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+      "(-17.379326925479518, 684.5756739399083, 796.3069592096857)\n",
       "-1600.0\n",
-      "((8, -2, -1, -1), (11, -2, -2, -1), (14, -2, -3, -1))\n",
-      "(-1503.9100017307746, -690.2237155956096, 11.731285269777572)\n",
-      "2\n",
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+      "(-1517.3793269254795, -815.4243260600917, -429.11061219525754)\n",
       "1500.0\n",
-      "((8, -2, -1, -1), (11, -2, -2, -1), (10, -1, -2, -1))\n",
-      "(25.41757140494292, 909.7762844043904, 1611.7312852697776)\n",
-      "0\n",
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+      "(82.62067307452048, 784.5756739399083, 896.3069592096856)\n",
       "-1600.0\n",
-      "((11, -1, -3, -1), (11, -2, -2, -1), (10, -1, -2, -1))\n",
-      "(-474.5824285950571, 23.462570539555486, 1111.7312852697776)\n",
-      "1\n",
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+      "(-417.3793269254795, 80.66567220913328, 396.3069592096856)\n",
       "500.0\n",
-      "((11, -1, -3, -1), (13, -2, -3, -1), (10, -1, -2, -1))\n",
-      "(-1474.582428595057, -976.5374294604445, -7.711522991319725)\n",
-      "2\n",
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+      "(-1417.3793269254795, -919.3343277908667, -421.2893286562546)\n",
       "1000.0\n",
-      "((11, -1, -3, -1), (13, -2, -3, -1), (11, -2, -3, 0))\n",
-      "(-1574.582428595057, -1076.5374294604444, 11.731285269777572)\n",
-      "2\n",
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+      "(-1223.244329521642, -1019.3343277908667, -521.2893286562546)\n",
       "100.0\n",
-      "((11, -1, -3, -1), (13, -2, -3, -1), (10, -1, -2, -1))\n",
-      "(-1474.582428595057, -976.5374294604444, -7.711522991319725)\n",
-      "2\n",
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+      "(-1234.9756147914197, -919.3343277908667, -421.2893286562546)\n",
       "-100.0\n",
-      "((11, -1, -3, -1), (13, -2, -3, -1), (11, -2, -3, 0))\n",
-      "(-1274.582428595057, -776.5374294604444, 37.148856674720605)\n",
-      "2\n",
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+      "(-1034.9756147914197, -803.8015212605446, -221.2893286562546)\n",
       "-200.0\n",
-      "((11, -1, -3, -1), (13, -2, -3, -1), (16, -2, -4, -1))\n",
-      "(-1174.582428595057, -676.5374294604444, 25.417571404942578)\n",
-      "2\n",
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+      "(-934.9756147914197, -703.8015212605446, -1.846520395157654)\n",
       "-100.0\n",
-      "((11, -1, -3, -1), (13, -2, -3, -1), (12, -1, -3, -1))\n",
-      "(-974.5824285950571, -476.5374294604444, -5.7565221259322925)\n",
-      "2\n",
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+      "(-734.9756147914197, -503.80152126054463, -33.020613926032524)\n",
       "-200.0\n",
-      "((11, -1, -3, -1), (13, -2, -3, -1), (9, -1, -3, 0))\n",
-      "(-974.5824285950571, -160.89614245989185, -5.7565221259322925)\n",
-      "1\n",
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+      "(-734.9756147914197, -419.3343277908667, -33.020613926032524)\n",
       "0.0\n",
-      "((11, -1, -3, -1), (14, -1, -4, -1), (9, -1, -3, 0))\n",
-      "(-7.711522991319498, 539.1038575401082, 694.2434778740677)\n",
-      "0\n",
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+      "(-301.8465203951573, 280.6656722091333, 666.9793860739675)\n",
       "-700.0\n",
-      "((10, -2, -3, 0), (14, -1, -4, -1), (9, -1, -3, 0))\n",
-      "(-458.9411415945043, 39.10385754010815, 194.2434778740677)\n",
-      "1\n",
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+      "(-801.8465203951573, -219.33432779086672, 11.83976574000792)\n",
       "500.0\n",
-      "((12, 0, -4, -1), (14, -1, -4, -1), (9, -1, -3, 0))\n",
-      "(-258.9411415945043, 7.92976400923331, 394.2434778740677)\n",
-      "1\n",
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+      "(-517.3793269254793, -19.334327790866723, 211.83976574000792)\n",
       "-200.0\n",
-      "((12, 0, -4, -1), (11, -1, -4, 0), (9, -1, -3, 0))\n",
-      "(-1158.9411415945042, -892.0702359907667, -78.38394985560194)\n",
-      "2\n",
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+      "(-1417.3793269254793, -919.3343277908667, -421.2893286562545)\n",
       "900.0\n",
-      "((12, 0, -4, -1), (11, -1, -4, 0), (14, -1, -5, 0))\n",
-      "(-1258.9411415945042, -992.0702359907667, -23.244329521642157)\n",
-      "2\n",
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+      "(-1490.115235125379, -1019.3343277908667, -521.2893286562545)\n",
       "100.0\n",
-      "((12, 0, -4, -1), (11, -1, -4, 0), (9, -1, -4, 1))\n",
-      "(-123.2443295216417, 107.92976400923328, 1076.7556704783578)\n",
-      "0\n",
+      "((0, 0, 0, 0), (-4, 1, 0, 1), (-2, 0, 0, 1))\n",
+      "(-390.11523512537906, 80.66567220913328, 311.83976574000803)\n",
       "-1100.0\n",
-      "((8, -1, -4, 1), (11, -1, -4, 0), (9, -1, -4, 1))\n",
-      "(-1423.2443295216417, -1192.0702359907668, 7.92976400923294)\n",
-      "2\n",
+      "((0, 0, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0))\n",
+      "(-1690.115235125379, -1219.3343277908666, -721.2893286562545)\n",
       "1300.0\n",
-      "((8, -1, -4, 1), (11, -1, -4, 0), (12, -1, -4, 0))\n",
-      "(-1623.2443295216417, -1392.0702359907668, -36.93061565680728)\n",
-      "2\n",
+      "((0, 0, 0, 0), (-4, 1, 0, 1), (-2, 0, 0, 1))\n",
+      "(-1890.115235125379, -1152.463422187129, -921.2893286562545)\n",
       "200.0\n",
-      "((8, -1, -4, 1), (11, -1, -4, 0), (7, -1, -3, 1))\n",
-      "(-1723.2443295216417, -1492.0702359907668, -25.199330387029477)\n",
-      "2\n",
+      "((0, 0, 0, 0), (-5, 0, 0, 2), (-2, 0, 0, 1))\n",
+      "(-1519.3343277908666, -1252.463422187129, -1021.2893286562545)\n",
       "100.0\n",
-      "((8, -1, -4, 1), (11, -1, -4, 0), (11, -2, -4, 1))\n",
-      "(76.7556704783583, 307.92976400923317, 1663.0693843431927)\n",
-      "0\n",
+      "((0, 0, 0, 0), (-1, -1, 0, 1), (2, -1, 0, 0))\n",
+      "(-34.9756147914195, 547.536577812871, 778.7106713437455)\n",
       "-1800.0\n",
-      "((8, -1, -4, 1), (11, -1, -4, 0), (7, -1, -3, 1))\n",
-      "(-1323.2443295216417, -1092.0702359907668, -123.24432952164216)\n",
-      "2\n",
+      "((0, 0, 0, 0), (0, 0, -1, 1), (3, 0, -1, 0))\n",
+      "(-1434.9756147914195, -852.463422187129, -466.14970832229494)\n",
       "1400.0\n",
-      "((8, -1, -4, 1), (11, -1, -4, 0), (9, -1, -4, 1))\n",
-      "(-523.2443295216417, -25.19933038702925, 676.7556704783578)\n",
-      "1\n",
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+      "(-634.9756147914195, -52.46342218712903, 178.7106713437455)\n",
       "-800.0\n",
-      "((8, -1, -4, 1), (10, -2, -4, 1), (9, -1, -4, 1))\n",
-      "(-623.2443295216417, 78.71067134374539, 576.7556704783578)\n",
-      "1\n",
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+      "(-538.777136051964, -152.46342218712903, 78.7106713437455)\n",
       "100.0\n",
-      "((8, -1, -4, 1), (7, 0, -4, 1), (9, -1, -4, 1))\n",
-      "(-523.2443295216417, -25.19933038702925, 676.7556704783578)\n",
-      "1\n",
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+      "(-438.777136051964, -52.46342218712903, 59.26786308264832)\n",
       "-100.0\n",
-      "((8, -1, -4, 1), (10, -2, -4, 1), (9, -1, -4, 1))\n",
-      "(-423.2443295216417, -36.93061565680733, 776.7556704783578)\n",
-      "1\n",
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+      "(-338.777136051964, -71.90623044822655, 159.26786308264832)\n",
       "-100.0\n",
-      "((8, -1, -4, 1), (6, -1, -3, 1), (9, -1, -4, 1))\n",
-      "(-1723.2443295216417, -1336.9306156568073, -25.199330387029477)\n",
-      "2\n",
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+      "(-1638.7771360519641, -1371.9062304482266, -669.9512295828392)\n",
       "1300.0\n",
-      "((8, -1, -4, 1), (6, -1, -3, 1), (11, -2, -4, 1))\n",
-      "(-1523.2443295216417, -1136.9306156568073, 63.06938434319272)\n",
-      "2\n",
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+      "(-1438.7771360519641, -1052.463422187129, -469.95122958283923)\n",
       "-200.0\n",
-      "((8, -1, -4, 1), (6, -1, -3, 1), (7, -1, -3, 1))\n",
-      "(-1423.2443295216417, -1036.9306156568073, 7.92976400923294)\n",
-      "2\n",
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+      "(-1338.7771360519641, -952.463422187129, -250.50842132174193)\n",
       "-100.0\n",
-      "((8, -1, -4, 1), (6, -1, -3, 1), (12, -1, -4, 0))\n",
-      "(-523.2443295216417, -25.19933038702925, 907.9297640092329)\n",
-      "1\n",
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+      "(-438.77713605196413, -52.46342218712903, 59.26786308264832)\n",
       "-900.0\n",
-      "((8, -1, -4, 1), (10, -2, -4, 1), (12, -1, -4, 0))\n",
-      "(-1123.2443295216417, -625.1993303870292, 76.75567047835784)\n",
-      "2\n",
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+      "(-1038.7771360519641, -652.463422187129, 49.491578678258065)\n",
       "600.0\n",
-      "((8, -1, -4, 1), (10, -2, -4, 1), (9, -1, -4, 1))\n",
-      "(-423.2443295216417, -36.93061565680728, 776.7556704783578)\n",
-      "1\n",
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+      "(-338.77713605196413, 47.53657781287097, 159.26786308264832)\n",
       "-700.0\n",
-      "((8, -1, -4, 1), (6, -1, -3, 1), (9, -1, -4, 1))\n",
-      "(-223.2443295216417, 7.929764009233253, 976.7556704783578)\n",
-      "1\n",
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+      "(-138.77713605196413, 92.39695747891113, 359.2678630826483)\n",
       "-200.0\n",
-      "((8, -1, -4, 1), (11, -1, -4, 0), (9, -1, -4, 1))\n",
-      "(-23.244329521641703, 474.80066961297086, 1176.7556704783578)\n",
-      "0\n",
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+      "(61.222863948035865, 292.39695747891113, 447.5365778128707)\n",
       "-200.0\n",
-      "((8, -1, -4, 1), (10, -2, -4, 1), (9, -1, -4, 1))\n",
-      "(-123.2443295216417, 107.92976400923328, 1076.7556704783578)\n",
-      "1\n",
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+      "(-38.777136051964135, 116.3624842819959, 347.5365778128707)\n",
       "100.0\n",
-      "((8, -1, -4, 1), (11, -1, -4, 0), (9, -1, -4, 1))\n",
-      "(-736.930615656807, 307.9297640092333, 1276.7556704783578)\n",
-      "1\n",
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+      "(-421.2893286562545, 316.3624842819959, 547.5365778128707)\n",
       "-200.0\n",
-      "((5, -1, -3, 1), (11, -1, -4, 0), (9, -1, -4, 1))\n",
-      "(-9.558043386476527, 607.9297640092333, 1576.7556704783578)\n",
-      "0\n",
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+      "(-121.2893286562545, 461.2228639480362, 847.5365778128707)\n",
       "-300.0\n",
-      "((10, -1, -5, 1), (11, -1, -4, 0), (9, -1, -4, 1))\n",
-      "(-1709.5580433864766, -1092.0702359907668, -11.513044251864358)\n",
-      "2\n",
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+      "(-1821.2893286562544, -1007.6030425210887, -852.4634221871293)\n",
       "1700.0\n",
-      "((10, -1, -5, 1), (11, -1, -4, 0), (13, -2, -5, 1))\n",
-      "(-1509.5580433864766, -892.0702359907668, 76.75567047835784)\n",
-      "2\n",
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+      "(-1621.2893286562544, -807.6030425210887, -576.4289489902139)\n",
       "-200.0\n",
-      "((10, -1, -5, 1), (11, -1, -4, 0), (9, -1, -4, 1))\n",
-      "(-809.5580433864766, 4.128242748688194, 776.7556704783578)\n",
-      "1\n",
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+      "(-921.2893286562544, -107.6030425210887, 47.536577812870746)\n",
       "-700.0\n",
-      "((10, -1, -5, 1), (13, -1, -6, 1), (9, -1, -4, 1))\n",
-      "(-909.5580433864766, -25.199330387029306, 676.7556704783578)\n",
-      "1\n",
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+      "(-1021.2893286562544, -207.6030425210887, 23.57105100978606)\n",
       "100.0\n",
-      "((10, -1, -5, 1), (10, -2, -4, 1), (9, -1, -4, 1))\n",
-      "(-11.513044251864017, 374.8006696129707, 1076.7556704783578)\n",
-      "0\n",
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+      "(-621.2893286562544, 192.3969574789113, 347.53657781287075)\n",
       "-400.0\n",
-      "((12, -2, -5, 1), (10, -2, -4, 1), (9, -1, -4, 1))\n",
-      "(-611.513044251864, -21.28932865625461, 476.75567047835784)\n",
-      "1\n",
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+      "(-1221.2893286562544, -407.6030425210887, -176.42894899021394)\n",
       "600.0\n",
-      "((12, -2, -5, 1), (7, 0, -4, 1), (9, -1, -4, 1))\n",
-      "(-811.513044251864, -221.2893286562546, 2.173241883300534)\n",
-      "2\n",
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+      "(-1078.3839498556015, -607.6030425210887, -376.42894899021394)\n",
       "200.0\n",
-      "((12, -2, -5, 1), (7, 0, -4, 1), (15, -2, -6, 1))\n",
-      "(-811.513044251864, -109.55804338647692, 2.173241883300534)\n",
-      "1\n",
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+      "(-1078.3839498556015, -607.6030425210887, -109.55804338647647)\n",
       "0.0\n",
-      "((12, -2, -5, 1), (11, -1, -5, 1), (15, -2, -6, 1))\n",
-      "(-911.513044251864, -209.55804338647692, 288.48695574813564)\n",
-      "1\n",
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+      "(-1178.3839498556015, -440.73213691735117, -209.55804338647647)\n",
       "100.0\n",
-      "((12, -2, -5, 1), (11, -1, -5, 1), (13, -2, -5, 1))\n",
-      "(-711.513044251864, -9.558043386476925, 102.17324188330053)\n",
-      "2\n",
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+      "(-627.0458507821862, -240.73213691735117, -9.55804338647647)\n",
       "-200.0\n",
-      "((12, -2, -5, 1), (11, -1, -5, 1), (15, -2, -6, 1))\n",
-      "(33.34733541417609, 890.4419566135231, 1002.1732418833005)\n",
-      "0\n",
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+      "(272.9541492178138, 659.2678630826488, 770.9991483524263)\n",
       "-900.0\n",
-      "((17, -2, -6, 0), (11, -1, -5, 1), (15, -2, -6, 1))\n",
-      "(-666.6526645858239, 35.302336279563406, 302.17324188330053)\n",
-      "1\n",
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+      "(-427.0458507821862, -160.17494517844875, 70.99914835242635)\n",
       "700.0\n",
-      "((17, -2, -6, 0), (16, -1, -6, 0), (15, -2, -6, 1))\n",
-      "(-33.52357018956138, 935.3023362795634, 1202.1732418833005)\n",
-      "0\n",
+      "((0, 0, 0, 0), (-1, -1, 0, 1), (2, -1, 0, 0))\n",
+      "(472.9541492178138, 859.2678630826488, 970.9991483524263)\n",
       "-900.0\n",
-      "((18, -1, -6, -1), (16, -1, -6, 0), (15, -2, -6, 1))\n",
-      "(-1233.5235701895613, -966.6526645858243, 2.173241883300534)\n",
-      "2\n",
+      "((0, 0, 0, 0), (-2, 0, 1, 0), (2, -1, 0, 0))\n",
+      "(-727.0458507821862, -340.7321369173512, -25.09084991679856)\n",
       "1200.0\n",
-      "((18, -1, -6, -1), (17, -2, -6, 0), (15, -2, -6, 1))\n",
-      "(-1433.5235701895613, -1166.6526645858244, -2.3494766586868536)\n",
-      "2\n",
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+      "(-927.0458507821862, -540.7321369173512, -42.68713778273866)\n",
       "200.0\n",
-      "((18, -1, -6, -1), (17, -2, -6, 0), (22, -1, -6, -2))\n",
-      "(-1333.5235701895613, -947.2098563247268, 97.65052334131315)\n",
-      "2\n",
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+      "(-827.0458507821862, -440.7321369173512, -13.359564647020647)\n",
       "-100.0\n",
-      "((18, -1, -6, -1), (16, -1, -5, -1), (22, -1, -6, -2))\n",
-      "(-1333.5235701895613, -133.52357018956184, 97.65052334131315)\n",
-      "1\n",
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+      "(-827.0458507821862, -329.0008516475736, -13.359564647020647)\n",
       "0.0\n",
-      "((18, -1, -6, -1), (19, -1, -6, -1), (22, -1, -6, -2))\n",
-      "(-1800.3944757932989, -333.52357018956184, -102.34947665868685)\n",
-      "2\n",
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+      "(-1027.0458507821863, -529.0008516475737, -30.95585251296086)\n",
       "200.0\n",
-      "((19, 0, -6, -2), (19, -1, -6, -1), (22, -1, -6, -2))\n",
-      "(-1900.3944757932989, -433.52357018956184, 1.5605250720882395)\n",
-      "2\n",
+      "((0, 0, 0, 0), (2, -1, 0, 0), (4, -2, 0, 0))\n",
+      "(-944.6421386481263, -629.0008516475737, -130.95585251296086)\n",
       "100.0\n",
-      "((19, 0, -6, -2), (19, -1, -6, -1), (19, 1, -6, -2))\n",
-      "(-1400.3944757932989, 3.5155259374756724, 501.56052507208824)\n",
-      "1\n",
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+      "(-444.6421386481263, -129.00085164757365, 257.3128622172612)\n",
       "-500.0\n",
-      "((19, 0, -6, -2), (17, 2, -6, -2), (19, 1, -6, -2))\n",
-      "(-1798.4394749279113, 103.51552593747567, 601.5605250720882)\n",
-      "1\n",
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+      "(-611.5130442518639, -29.000851647573654, 357.3128622172612)\n",
       "-100.0\n",
-      "((17, 1, -6, -2), (17, 2, -6, -2), (19, 1, -6, -2))\n",
-      "(-1498.4394749279113, 87.87423893692312, 901.5605250720882)\n",
-      "1\n",
+      "((0, 0, 0, 0), (0, 0, -1, 1), (-2, 0, 0, 1))\n",
+      "(-311.5130442518639, 270.99914835242635, 502.17324188330167)\n",
       "-300.0\n",
-      "((17, 1, -6, -2), (16, 1, -5, -2), (19, 1, -6, -2))\n",
-      "(-2198.4394749279113, -612.1257610630769, -29.613568458786858)\n",
-      "2\n",
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+      "(-1011.5130442518639, -429.00085164757365, -42.68713778273877)\n",
       "700.0\n",
-      "((17, 1, -6, -2), (16, 1, -5, -2), (16, 1, -6, -1))\n",
-      "(-2598.4394749279113, -1012.1257610630769, 32.73461860296334)\n",
-      "2\n",
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+      "(-1411.513044251864, -940.7321369173515, -442.6871377827388)\n",
       "400.0\n",
-      "((17, 1, -6, -2), (16, 1, -5, -2), (22, 1, -6, -3))\n",
-      "(-2798.4394749279113, -1212.1257610630769, -12.125761063077107)\n",
-      "2\n",
+      "((0, 0, 0, 0), (-4, 1, 0, 1), (-2, 0, 0, 1))\n",
+      "(-1527.045850782186, -1140.7321369173515, -642.6871377827388)\n",
       "200.0\n",
-      "((17, 1, -6, -2), (16, 1, -5, -2), (17, 1, -5, -2))\n",
-      "(-1925.8120471982413, -1112.1257610630769, 87.8742389369229)\n",
-      "2\n",
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+      "(-1427.045850782186, -1040.7321369173515, -338.7771360519639)\n",
       "-100.0\n",
-      "((13, 1, -4, -2), (16, 1, -5, -2), (17, 1, -5, -2))\n",
-      "(-10.170760197688878, 487.8742389369231, 1687.874238936923)\n",
-      "0\n",
+      "((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0))\n",
+      "(172.9541492178139, 559.2678630826485, 670.9991483524263)\n",
       "-1600.0\n",
-      "((14, 2, -5, -2), (16, 1, -5, -2), (17, 1, -5, -2))\n",
-      "(1.5605250720888932, 387.8742389369231, 1587.874238936923)\n",
-      "0\n",
+      "((0, 0, 0, 0), (-2, 0, 1, 0), (2, -1, 0, 0))\n",
+      "(72.95414921781389, 184.68543448759146, 570.9991483524263)\n",
       "100.0\n",
-      "((18, 1, -6, -2), (16, 1, -5, -2), (17, 1, -5, -2))\n",
-      "(-10.170760197688878, 487.8742389369231, 1687.874238936923)\n",
-      "0\n",
+      "((0, 0, 0, 0), (4, -1, -1, 0), (2, -1, 0, 0))\n",
+      "(-30.95585251296106, 284.68543448759146, 670.9991483524263)\n",
       "-100.0\n",
-      "((14, 2, -5, -2), (16, 1, -5, -2), (17, 1, -5, -2))\n",
-      "(-1443.299854593951, -1212.1257610630769, -12.125761063077107)\n",
-      "2\n",
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+      "(-1730.955852512961, -1415.3145655124085, -917.2695663777957)\n",
       "1700.0\n",
-      "((13, 1, -5, -1), (16, 1, -5, -2), (17, 1, -5, -2))\n",
-      "(-1610.1707601976889, -1112.1257610630769, 87.8742389369229)\n",
-      "2\n",
+      "((0, 0, 0, 0), (1, 1, -1, 0), (3, 0, -1, 0))\n",
+      "(-1813.359564647021, -1315.3145655124085, -817.2695663777957)\n",
       "-100.0\n",
-      "((14, 2, -5, -2), (16, 1, -5, -2), (17, 1, -5, -2))\n",
-      "(-1310.1707601976889, -812.1257610630769, 1.5605250720882395)\n",
-      "2\n",
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+      "(-1401.6282793772432, -1015.3145655124085, -517.2695663777957)\n",
       "-300.0\n",
-      "((14, 2, -5, -2), (16, 1, -5, -2), (19, 1, -6, -2))\n",
-      "(-29.613568458786176, 587.8742389369231, 1401.5605250720882)\n",
-      "0\n",
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+      "(-1.6282793772431887, 384.68543448759146, 496.4167197573694)\n",
       "-1400.0\n",
-      "((15, 1, -6, -1), (16, 1, -5, -2), (19, 1, -6, -2))\n",
-      "(-1229.6135684587862, -612.1257610630769, 89.82923980231044)\n",
-      "2\n",
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+      "(-1201.6282793772432, -815.3145655124085, -113.35956464702076)\n",
       "1200.0\n",
-      "((15, 1, -6, -1), (16, 1, -5, -2), (15, 2, -5, -2))\n",
-      "(-729.6135684587862, -27.658567593399425, 589.8292398023104)\n",
-      "1\n",
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+      "(-701.6282793772432, -315.31456551240854, 0.32672148814447155)\n",
       "-500.0\n",
-      "((15, 1, -6, -1), (14, 2, -6, -1), (15, 2, -5, -2))\n",
-      "(74.29643327198869, 572.3414324066006, 1189.8292398023104)\n",
-      "0\n",
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+      "(-101.62827937724319, 284.68543448759146, 396.4167197573695)\n",
       "-600.0\n",
-      "((12, 3, -6, -1), (14, 2, -6, -1), (15, 2, -5, -2))\n",
-      "(-29.613568458786148, 672.3414324066006, 1289.8292398023104)\n",
-      "0\n",
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+      "(-1.6282793772431887, 110.10300589253438, 496.4167197573695)\n",
       "-100.0\n",
-      "((15, 1, -6, -1), (14, 2, -6, -1), (15, 2, -5, -2))\n",
-      "(-529.6135684587862, -31.568569324174234, 789.8292398023104)\n",
-      "1\n",
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+      "(-776.2107079723003, -389.8969941074656, -3.583280242630508)\n",
       "500.0\n",
-      "((15, 1, -6, -1), (17, 0, -6, -1), (15, 2, -5, -2))\n",
-      "(-33.523570189561156, 668.4314306758258, 1489.8292398023104)\n",
-      "0\n",
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+      "(-76.21070797230027, 310.1030058925344, 421.8342911623123)\n",
       "-700.0\n",
-      "((18, -1, -6, -1), (17, 0, -6, -1), (15, 2, -5, -2))\n",
-      "(3.5155259374763546, 768.4314306758258, 1589.8292398023104)\n",
-      "0\n",
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+      "(-291.851994972853, 410.1030058925344, 521.8342911623123)\n",
       "-100.0\n",
-      "((16, 2, -6, -2), (17, 0, -6, -1), (15, 2, -5, -2))\n",
-      "(-0.39447579329879545, 968.4314306758258, 1789.8292398023104)\n",
-      "0\n",
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+      "(-91.85199497285299, 335.52057729747736, 721.8342911623123)\n",
       "-200.0\n",
-      "((19, 0, -6, -2), (17, 0, -6, -1), (15, 2, -5, -2))\n",
-      "(-1900.3944757932989, -931.5685693241742, 1.5605250720882395)\n",
-      "2\n",
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+      "(-1991.851994972853, -1289.8969941074656, -1178.1657088376878)\n",
       "1900.0\n",
-      "((19, 0, -6, -2), (17, 0, -6, -1), (19, 1, -6, -2))\n",
-      "(-1700.3944757932989, -731.5685693241742, -2.3494766586868536)\n",
-      "2\n",
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+      "(-1791.851994972853, -1089.8969941074656, -703.583280242631)\n",
       "-200.0\n",
-      "((19, 0, -6, -2), (17, 0, -6, -1), (22, -1, -6, -2))\n",
-      "(-800.3944757932989, 13.29181034186604, 897.6505233413131)\n",
-      "1\n",
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+      "(-891.8519949728529, -189.89699410746562, 41.27709942340914)\n",
       "-900.0\n",
-      "((19, 0, -6, -2), (22, 0, -7, -2), (22, -1, -6, -2))\n",
-      "(-700.3944757932989, 1.5605250720883106, 997.6505233413131)\n",
-      "1\n",
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+      "(-791.8519949728529, -89.89699410746562, 21.834291162312184)\n",
       "-100.0\n",
-      "((19, 0, -6, -2), (18, 1, -6, -2), (22, -1, -6, -2))\n",
-      "(-29.613568458786233, 201.5605250720883, 1197.6505233413131)\n",
-      "0\n",
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+      "(-591.8519949728529, -276.21070797230016, 221.83429116231218)\n",
       "-200.0\n",
-      "((15, 1, -6, -1), (18, 1, -6, -2), (22, -1, -6, -2))\n",
-      "(-129.61356845878623, 101.5605250720883, 1456.7001454060483)\n",
-      "0\n",
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+      "(-691.8519949728529, -376.21070797230016, 10.10300589253427)\n",
       "100.0\n",
-      "((15, 1, -6, -1), (18, 1, -6, -2), (14, 1, -5, -1))\n",
-      "(-929.6135684587862, -698.4394749279118, 3.5155259374755587)\n",
-      "2\n",
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+      "(-1491.851994972853, -1176.2107079723, -678.1657088376878)\n",
       "800.0\n",
-      "((15, 1, -6, -1), (18, 1, -6, -2), (17, 2, -6, -2))\n",
-      "(-1067.265381397036, -98.43947492791176, 603.5155259374756)\n",
-      "1\n",
+      "((0, 0, 0, 0), (1, 1, -1, 0), (3, 0, -1, 0))\n",
+      "(-891.8519949728529, -505.53828110801805, -78.16570883768782)\n",
       "-600.0\n",
-      "((20, 1, -6, -3), (18, 1, -6, -2), (17, 2, -6, -2))\n",
-      "(-1767.265381397036, -798.4394749279118, 15.246811207253131)\n",
-      "2\n",
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+      "(-1591.851994972853, -1205.538281108018, -503.58328024263096)\n",
       "700.0\n",
-      "((20, 1, -6, -3), (18, 1, -6, -2), (21, 1, -7, -2))\n",
-      "(-1267.265381397036, 17.20181207264079, 515.2468112072531)\n",
-      "1\n",
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+      "(-817.2695663777959, -705.538281108018, -3.5832802426309627)\n",
       "-500.0\n",
-      "((20, 1, -6, -3), (19, 2, -7, -2), (21, 1, -7, -2))\n",
-      "(-1467.265381397036, -182.7981879273592, -36.09128786616145)\n",
-      "2\n",
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+      "(-1017.2695663777959, -630.955852512961, -203.58328024263096)\n",
       "200.0\n",
-      "((20, 1, -6, -3), (19, 2, -7, -2), (24, 1, -6, -4))\n",
-      "(-2167.265381397036, -882.7981879273592, 1.5605250720882395)\n",
-      "2\n",
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+      "(-1717.2695663777959, -1330.955852512961, -629.0008516475741)\n",
       "700.0\n",
-      "((20, 1, -6, -3), (19, 2, -7, -2), (19, 1, -6, -2))\n",
-      "(-2267.265381397036, -982.7981879273592, -13.97228145823442)\n",
-      "2\n",
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+      "(-1817.2695663777959, -1115.3145655124083, -729.0008516475741)\n",
       "100.0\n",
-      "((20, 1, -6, -3), (19, 2, -7, -2), (17, 2, -7, -1))\n",
-      "(-1767.265381397036, -482.7981879273592, 15.246811207253131)\n",
-      "2\n",
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+      "(-1113.359564647021, -615.3145655124083, -229.0008516475741)\n",
       "-500.0\n",
-      "((20, 1, -6, -3), (19, 2, -7, -2), (21, 1, -7, -2))\n",
-      "(-1398.4394749279113, 117.20181207264079, 615.2468112072531)\n",
-      "1\n",
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+      "(-513.359564647021, -15.314565512408308, 215.8595280184661)\n",
       "-600.0\n",
-      "((17, 1, -6, -2), (19, 2, -7, -2), (21, 1, -7, -2))\n",
-      "(-169.11190179219352, 217.2018120726408, 715.2468112072531)\n",
-      "0\n",
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+      "(-652.9663784506586, 84.68543448759169, 315.8595280184661)\n",
       "-100.0\n",
-      "((21, 2, -8, -2), (19, 2, -7, -2), (21, 1, -7, -2))\n",
-      "(-569.1119017921935, -71.06690265758135, 315.24681120725313)\n",
-      "1\n",
+      "((0, 0, 0, 0), (-5, 0, 0, 2), (-2, 0, 0, 1))\n",
+      "(-1052.9663784506586, -786.095472846921, -84.14047198153389)\n",
       "400.0\n",
-      "((21, 2, -8, -2), (23, 1, -8, -2), (21, 1, -7, -2))\n",
-      "(17.201812072641303, 128.93309734241865, 515.2468112072531)\n",
-      "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",
-      "((19, 2, -7, -2), (23, 1, -8, -2), (21, 1, -7, -2))\n",
-      "(-82.7981879273587, 28.933097342418648, 1460.1071908732938)\n",
-      "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",
-      "((19, 2, -7, -2), (23, 1, -8, -2), (27, 1, -8, -3))\n",
-      "(17.201812072641303, 128.93309734241865, 1715.2468112072534)\n",
-      "1\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (3, 0, -1, 0))\n",
+      "(-697.8267581166988, -466.6526645858237, 4.128242748688194)\n",
       "-100.0\n",
-      "((19, 2, -7, -2), (23, 1, -8, -2), (22, 1, -7, -2))\n",
-      "(1.5605250720887511, 428.93309734241865, 2015.2468112072534)\n",
-      "0\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (-1, 1, 0, 0))\n",
+      "(-397.8267581166988, -166.6526645858237, -11.513044251864414)\n",
       "-300.0\n",
-      "((18, 1, -6, -2), (23, 1, -8, -2), (22, 1, -7, -2))\n",
-      "(-698.4394749279113, 3.5155259374755587, 1315.2468112072534)\n",
-      "1\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (-2, 0, 1, 0))\n",
+      "(-1097.8267581166988, -866.6526645858237, -52.96637845065902)\n",
       "700.0\n",
-      "((18, 1, -6, -2), (17, 2, -6, -2), (22, 1, -7, -2))\n",
-      "(-898.4394749279113, -84.75318879274687, 1115.2468112072534)\n",
-      "1\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (6, 0, -1, -1))\n",
+      "(-1221.7922849197837, -1066.6526645858237, -252.96637845065902)\n",
       "200.0\n",
-      "((18, 1, -6, -2), (21, 1, -7, -2), (22, 1, -7, -2))\n",
-      "(-482.79818792735875, 15.246811207253131, 1215.2468112072534)\n",
-      "1\n",
+      "((0, 0, 0, 0), (-5, 0, 1, 1), (-2, 0, 0, 1))\n",
+      "(-1121.7922849197837, -854.9213793160461, -152.96637845065902)\n",
       "-100.0\n",
-      "((19, 2, -7, -2), (21, 1, -7, -2), (22, 1, -7, -2))\n",
-      "(-382.79818792735875, 115.24681120725313, 319.156812938028)\n",
-      "2\n",
+      "((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1))\n",
+      "(-1021.7922849197837, -790.6181913889084, -52.96637845065902)\n",
       "-100.0\n",
-      "((19, 2, -7, -2), (21, 1, -7, -2), (18, 3, -7, -2))\n",
-      "(-582.7981879273588, -84.75318879274687, 1115.2468112072534)\n",
-      "1\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (-2, 0, 0, 1))\n",
+      "(-1221.7922849197837, -990.6181913889084, -176.9319052537437)\n",
       "200.0\n",
-      "((19, 2, -7, -2), (21, 1, -7, -2), (22, 1, -7, -2))\n",
-      "(-682.7981879273588, -184.75318879274687, 19.156812938027997)\n",
-      "2\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (6, 0, -1, -1))\n",
+      "(-1245.7578117228686, -1090.6181913889084, -276.9319052537437)\n",
       "100.0\n",
-      "((19, 2, -7, -2), (21, 1, -7, -2), (18, 3, -7, -2))\n",
-      "(-782.7981879273588, -284.75318879274687, 30.888098207805797)\n",
-      "2\n",
+      "((0, 0, 0, 0), (-5, 0, 1, 1), (-2, 0, 0, 1))\n",
+      "(-1421.7922849197837, -1190.6181913889084, -376.9319052537437)\n",
       "100.0\n",
-      "((19, 2, -7, -2), (21, 1, -7, -2), (22, 2, -8, -2))\n",
-      "(-798.4394749279113, 15.246811207253131, 330.8880982078058)\n",
-      "1\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (6, 0, -1, -1))\n",
+      "(-1121.7922849197837, -308.105998784618, -76.93190525374371)\n",
       "-300.0\n",
-      "((18, 1, -6, -2), (21, 1, -7, -2), (22, 2, -8, -2))\n",
-      "(-998.4394749279113, -184.75318879274687, -29.613568458786858)\n",
-      "2\n",
+      "((0, 0, 0, 0), (3, 0, -1, 0), (6, 0, -1, -1))\n",
+      "(-1210.060999650006, -508.105998784618, -276.9319052537437)\n",
       "200.0\n",
-      "((18, 1, -6, -2), (21, 1, -7, -2), (16, 1, -6, -1))\n",
-      "(-498.4394749279113, -27.65856759339954, 470.38643154121314)\n",
-      "1\n",
+      "((0, 0, 0, 0), (-1, 1, 0, 0), (2, 1, 0, -1))\n",
+      "(-710.0609996500059, -8.10599878461801, 103.62528648515934)\n",
       "-500.0\n",
-      "((18, 1, -6, -2), (14, 2, -6, -1), (16, 1, -6, -1))\n",
-      "(-1198.4394749279113, -727.6585675933995, -25.703566728011992)\n",
-      "2\n",
+      "((0, 0, 0, 0), (-1, 1, 0, 0), (3, 0, -1, 0))\n",
+      "(-1410.060999650006, -708.105998784618, -321.7922849197838)\n",
       "700.0\n",
-      "((18, 1, -6, -2), (14, 2, -6, -1), (13, 3, -6, -1))\n",
-      "(-298.4394749279113, 60.61014713682266, 874.296433271988)\n",
-      "1\n",
+      "((0, 0, 0, 0), (-1, 1, 0, 0), (-3, 1, 1, 0))\n",
+      "(-510.0609996500059, 191.894001215382, 303.62528648515934)\n",
       "-900.0\n",
-      "((18, 1, -6, -2), (10, 3, -5, -1), (13, 3, -6, -1))\n",
-      "(-194.52947319713678, -39.38985286317734, 774.296433271988)\n",
-      "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",
-      "((15, 3, -6, -2), (10, 3, -5, -1), (13, 3, -6, -1))\n",
-      "(-794.5294731971368, -639.3898528631773, 19.156812938027997)\n",
-      "2\n",
+      "((0, 0, 0, 0), (4, -1, -1, 0), (3, 0, -1, 0))\n",
+      "(-1210.060999650006, -823.7472857851706, -396.37471351484066)\n",
       "600.0\n",
-      "((15, 3, -6, -2), (10, 3, -5, -1), (18, 3, -7, -2))\n",
-      "(5.470526802863219, 587.9827194071529, 819.156812938028)\n",
-      "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",
-      "((15, 3, -6, -2), (15, 3, -7, -1), (18, 3, -7, -2))\n",
-      "(-13.972281458233965, 687.9827194071529, 919.156812938028)\n",
-      "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",
-      "((16, 2, -7, -1), (15, 3, -7, -1), (18, 3, -7, -2))\n",
-      "(19.156812938028622, 987.9827194071529, 1219.156812938028)\n",
-      "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",
-      "((17, 3, -7, -2), (15, 3, -7, -1), (18, 3, -7, -2))\n",
-      "(-1913.972281458234, -12.0172805928471, 219.156812938028)\n",
-      "2\n",
+      "((0, 0, 0, 0), (2, -1, 0, 0), (5, -1, 0, -1))\n",
+      "(-1241.235093180881, -743.1900940462681, -245.14509491165597)\n",
       "1000.0\n",
-      "((15, 2, -7, -1), (15, 3, -7, -1), (18, 3, -7, -2))\n",
-      "(-2013.972281458234, -112.0172805928471, -0.28599532306930087)\n",
-      "2\n",
+      "((0, 0, 0, 0), (2, -1, 0, 0), (4, -2, 0, 0))\n",
+      "(-1229.5038079111032, -843.1900940462681, -345.145094911656)\n",
       "100.0\n",
-      "((15, 2, -7, -1), (15, 3, -7, -1), (19, 2, -8, -1))\n",
-      "(-2213.9722814582337, -312.0172805928471, -45.14637498910929)\n",
-      "2\n",
+      "((0, 0, 0, 0), (-2, 0, 1, 0), (0, -1, 1, 0))\n",
+      "(-1429.5038079111032, -1043.190094046268, -341.2350931808811)\n",
       "200.0\n",
-      "((15, 2, -7, -1), (15, 3, -7, -1), (14, 2, -7, 0))\n",
-      "(-2113.9722814582337, -212.0172805928471, 19.156812938027997)\n",
-      "2\n",
+      "((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0))\n",
+      "(-1174.3641875771434, -943.1900940462681, -241.2350931808811)\n",
       "-100.0\n",
-      "((15, 2, -7, -1), (15, 3, -7, -1), (18, 3, -7, -2))\n",
-      "(-1613.9722814582337, 21.11181380341543, 519.156812938028)\n",
-      "1\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (2, 1, 0, -1))\n",
+      "(-674.3641875771434, -443.1900940462681, 27.59081328824402)\n",
       "-500.0\n",
-      "((15, 2, -7, -1), (16, 4, -7, -2), (18, 3, -7, -2))\n",
-      "(-1413.9722814582337, 17.20181207264062, 719.156812938028)\n",
-      "1\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (-1, 1, 0, 0))\n",
+      "(-474.3641875771434, -243.1900940462681, 23.680811557469042)\n",
       "-200.0\n",
-      "((15, 2, -7, -1), (19, 2, -7, -2), (18, 3, -7, -2))\n",
-      "(-2213.9722814582337, -782.7981879273593, 30.888098207805797)\n",
-      "2\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (2, -1, 0, 0))\n",
+      "(-1274.3641875771434, -1043.190094046268, -229.5038079111032)\n",
       "800.0\n",
-      "((15, 2, -7, -1), (19, 2, -7, -2), (22, 2, -8, -2))\n",
-      "(-3437.9378082613184, -882.7981879273593, -69.1119017921942)\n",
-      "2\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (6, 0, -1, -1))\n",
+      "(-1298.3297143802283, -1143.190094046268, -329.5038079111032)\n",
       "100.0\n",
-      "((22, 2, -8, -3), (19, 2, -7, -2), (22, 2, -8, -2))\n",
-      "(-1113.9722814582337, 317.2018120726407, 1130.8880982078058)\n",
-      "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",
-      "((15, 2, -7, -1), (19, 2, -7, -2), (22, 2, -8, -2))\n",
-      "(-1913.9722814582337, -482.7981879273593, -12.017280592846987)\n",
-      "2\n",
+      "((0, 0, 0, 0), (-5, 0, 1, 1), (-2, 0, 1, 0))\n",
+      "(-898.3297143802283, -743.1900940462681, 70.4961920888968)\n",
       "800.0\n",
-      "((15, 2, -7, -1), (19, 2, -7, -2), (15, 3, -7, -1))\n",
-      "(19.156812938028793, 517.2018120726407, 987.982719407153)\n",
-      "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",
-      "((17, 3, -7, -2), (19, 2, -7, -2), (15, 3, -7, -1))\n",
-      "(-180.8431870619712, -25.703566728012163, 787.982719407153)\n",
-      "1\n",
+      "((0, 0, 0, 0), (-5, 0, 1, 1), (-2, 0, 1, 0))\n",
+      "(-756.8763801814338, 56.80990595373191, 287.9839994846068)\n",
       "200.0\n",
-      "((17, 3, -7, -2), (12, 3, -6, -1), (15, 3, -7, -1))\n",
-      "(-1680.843187061971, -1525.7035667280122, 17.201812072640678)\n",
-      "2\n",
+      "((0, 0, 0, 0), (3, 0, -1, 0), (6, 0, -1, -1))\n",
+      "(-1710.0609996500057, -1443.190094046268, -1212.0160005153932)\n",
       "1500.0\n",
-      "((17, 3, -7, -2), (12, 3, -6, -1), (20, 2, -7, -2))\n",
-      "(-280.8431870619711, -13.972281458234647, 1417.2018120726407)\n",
-      "1\n",
+      "((0, 0, 0, 0), (-1, -1, 0, 1), (2, -1, 0, 0))\n",
+      "(-541.2350931808805, -43.19009404626809, 187.98399948460678)\n",
       "-1400.0\n",
-      "((17, 3, -7, -2), (16, 2, -7, -1), (20, 2, -7, -2))\n",
-      "(-1480.843187061971, -1213.9722814582346, -49.66909353109668)\n",
-      "2\n",
+      "((0, 0, 0, 0), (2, -1, 0, 0), (5, -1, 0, -1))\n",
+      "(-1741.2350931808805, -1243.190094046268, -745.1450949116556)\n",
       "1200.0\n",
-      "((17, 3, -7, -2), (16, 2, -7, -1), (21, 3, -7, -3))\n",
-      "(-1815.927282323621, -1113.9722814582346, 50.33090646890332)\n",
-      "2\n",
+      "((0, 0, 0, 0), (2, -1, 0, 0), (4, -2, 0, 0))\n",
+      "(-1347.100095777043, -1143.190094046268, -645.1450949116556)\n",
       "-100.0\n",
-      "((17, 1, -7, -1), (16, 2, -7, -1), (21, 3, -7, -3))\n",
-      "(-415.92728232362106, 19.156812938027997, 1450.3309064689033)\n",
-      "1\n",
+      "((0, 0, 0, 0), (-3, 2, 0, 0), (-1, 1, 0, 0))\n",
+      "(-241.23509318088054, 256.8099059537319, 754.8549050883444)\n",
       "-1400.0\n",
-      "((17, 1, -7, -1), (17, 3, -7, -2), (21, 3, -7, -3))\n",
-      "(-1615.927282323621, -1180.843187061972, -29.613568458786858)\n",
-      "2\n",
+      "((0, 0, 0, 0), (2, -1, 0, 0), (4, -2, 0, 0))\n",
+      "(-1258.8313810468205, -943.1900940462681, -445.14509491165563)\n",
       "1200.0\n",
-      "((17, 1, -7, -1), (17, 3, -7, -2), (16, 1, -6, -1))\n",
-      "(-1115.927282323621, -27.658567593399653, 470.38643154121314)\n",
-      "1\n",
+      "((0, 0, 0, 0), (1, 1, -1, 0), (3, 0, -1, 0))\n",
+      "(-758.8313810468205, -372.5176671819861, 54.85490508834437)\n",
       "-500.0\n",
-      "((17, 1, -7, -1), (14, 2, -6, -1), (16, 1, -6, -1))\n",
-      "(-1215.927282323621, -15.92728232362208, 370.38643154121314)\n",
-      "1\n",
+      "((0, 0, 0, 0), (-2, 0, 1, 0), (3, 0, -1, 0))\n",
+      "(-858.8313810468205, -472.5176671819861, 25.527331952626355)\n",
       "100.0\n",
-      "((17, 1, -7, -1), (18, 1, -7, -1), (16, 1, -6, -1))\n",
-      "(-1815.927282323621, -615.9272823236221, 86.02771854176558)\n",
-      "2\n",
+      "((0, 0, 0, 0), (-2, 0, 1, 0), (0, -1, 1, 0))\n",
+      "(-1458.8313810468205, -1072.517667181986, -370.5626663165988)\n",
       "600.0\n",
-      "((17, 1, -7, -1), (18, 1, -7, -1), (17, 2, -7, -1))\n",
-      "(-1615.927282323621, -415.9272823236221, -29.613568458786858)\n",
-      "2\n",
+      "((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0))\n",
+      "(-1139.3885727857232, -872.5176671819861, -170.56266631659878)\n",
       "-200.0\n",
-      "((17, 1, -7, -1), (18, 1, -7, -1), (16, 1, -6, -1))\n",
-      "(-715.9272823236211, -13.972281458234647, 870.3864315412131)\n",
-      "1\n",
+      "((0, 0, 0, 0), (-1, -1, 0, 1), (-2, 0, 0, 1))\n",
+      "(-239.38857278572323, 27.4823328180139, 258.6564263488888)\n",
       "-900.0\n",
-      "((17, 1, -7, -1), (16, 2, -7, -1), (16, 1, -6, -1))\n",
-      "(-12.017280592846078, 486.02771854176535, 1370.3864315412131)\n",
-      "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",
-      "((14, 3, -7, -1), (16, 2, -7, -1), (16, 1, -6, -1))\n",
-      "(-1212.017280592846, -713.9722814582346, -12.017280592846873)\n",
-      "2\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (6, 0, 0, -2))\n",
+      "(-903.6917607128607, -672.5176671819861, 29.437333683400993)\n",
       "1200.0\n",
-      "((14, 3, -7, -1), (16, 2, -7, -1), (15, 3, -7, -1))\n",
-      "(87.98271940715404, 789.9377202725406, 1287.9827194071531)\n",
-      "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",
-      "((14, 3, -7, -1), (13, 4, -7, -1), (15, 3, -7, -1))\n",
-      "(-1112.017280592846, -410.06227972745944, -23.748565862624673)\n",
-      "2\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (-2, 0, 1, 0))\n",
+      "(-803.6917607128607, -572.5176671819861, 9.994525422303923)\n",
       "1200.0\n",
-      "((14, 3, -7, -1), (13, 4, -7, -1), (11, 4, -6, -1))\n",
-      "(-1054.9226593934989, -10.06227972745944, 376.2514341373753)\n",
-      "1\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (3, 0, -1, 0))\n",
+      "(-403.69176071286074, -172.5176671819861, -17.3780468480266)\n",
       "-400.0\n",
-      "((7, 4, -6, 0), (13, 4, -7, -1), (11, 4, -6, -1))\n",
-      "(-1754.9226593934989, -710.0622797274594, -8.107278862072008)\n",
-      "2\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (-2, 0, 1, 0))\n",
+      "(-1103.6917607128607, -872.5176671819861, -58.83138104682121)\n",
       "700.0\n",
-      "((7, 4, -6, 0), (13, 4, -7, -1), (12, 5, -7, -1))\n",
-      "(-12.017280592845964, 689.9377202725406, 1391.892721137928)\n",
-      "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",
-      "((14, 3, -7, -1), (13, 4, -7, -1), (12, 5, -7, -1))\n",
-      "(-412.01728059284596, 23.06681466880252, 991.892721137928)\n",
-      "1\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (-2, 0, 1, 0))\n",
+      "(-103.69176071286074, 51.4478596210987, 282.62195315197346)\n",
       "400.0\n",
-      "((14, 3, -7, -1), (14, 5, -7, -2), (12, 5, -7, -1))\n",
-      "(-8.107278862071155, 223.06681466880252, 1191.892721137928)\n",
-      "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",
-      "((11, 5, -7, -1), (14, 5, -7, -2), (12, 5, -7, -1))\n",
-      "(-1308.107278862071, -494.420992726907, -108.10727886207201)\n",
-      "2\n",
+      "((0, 0, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0))\n",
+      "(-1519.3330477134136, -1048.5521403789012, -550.5071412442891)\n",
       "1300.0\n",
-      "((11, 5, -7, -1), (14, 5, -8, -1), (12, 5, -7, -1))\n",
-      "(-508.1072788620711, -10.062279727459554, 691.892721137928)\n",
-      "1\n",
+      "((0, 0, 0, 0), (-4, 1, 0, 1), (-2, 0, 0, 1))\n",
+      "(-719.3330477134136, -248.55214037890119, -17.378046848026543)\n",
       "-800.0\n",
-      "((11, 5, -7, -1), (13, 4, -7, -1), (12, 5, -7, -1))\n",
-      "(-923.7485658626239, -110.06227972745955, 591.892721137928)\n",
-      "1\n",
+      "((0, 0, 0, 0), (-4, 1, 0, 1), (-1, 1, 0, 0))\n",
+      "(-819.3330477134136, -503.6917607128607, -117.37804684802654)\n",
       "100.0\n",
-      "((10, 4, -6, -1), (13, 4, -7, -1), (12, 5, -7, -1))\n",
-      "(-1623.7485658626238, -810.0622797274596, 3.6240064077060197)\n",
-      "2\n",
+      "((0, 0, 0, 0), (1, 1, -1, 0), (-1, 1, 0, 0))\n",
+      "(-1519.3330477134136, -1203.6917607128607, -705.6467615782486)\n",
       "700.0\n",
-      "((10, 4, -6, -1), (13, 4, -7, -1), (16, 4, -8, -1))\n",
-      "(-1523.7485658626238, -710.0622797274596, -8.107278862072008)\n",
-      "2\n",
+      "((0, 0, 0, 0), (1, 1, -1, 0), (3, 0, -1, 0))\n",
+      "(-1419.3330477134136, -1033.0193338485788, -605.6467615782486)\n",
       "-100.0\n",
-      "((10, 4, -6, -1), (13, 4, -7, -1), (12, 5, -7, -1))\n",
-      "(-1939.2813723929457, -10.062279727459554, 691.892721137928)\n",
-      "1\n",
+      "((0, 0, 0, 0), (-2, 0, 1, 0), (3, 0, -1, 0))\n",
+      "(-719.3330477134136, -333.01933384857875, -17.378046848026543)\n",
       "-700.0\n",
-      "((7, 5, -7, 0), (13, 4, -7, -1), (12, 5, -7, -1))\n",
-      "(-2739.2813723929457, -810.0622797274596, 3.6240064077060197)\n",
-      "2\n",
+      "((0, 0, 0, 0), (-2, 0, 1, 0), (-1, 1, 0, 0))\n",
+      "(-1519.3330477134136, -1133.0193338485788, -431.0643329831918)\n",
       "800.0\n",
-      "((7, 5, -7, 0), (13, 4, -7, -1), (16, 4, -8, -1))\n",
-      "(-2139.2813723929457, 29.54453407617757, 603.624006407706)\n",
-      "1\n",
+      "((0, 0, 0, 0), (-2, 0, 1, 0), (-3, 1, 1, 0))\n",
+      "(-919.3330477134136, -533.0193338485788, -34.97433471396664)\n",
       "-600.0\n",
-      "((7, 5, -7, 0), (6, 5, -7, 1), (16, 4, -8, -1))\n",
-      "(-2039.2813723929457, -25.5950862577821, 703.624006407706)\n",
-      "1\n",
+      "((0, 0, 0, 0), (-2, 0, 1, 0), (0, -1, 1, 0))\n",
+      "(-819.3330477134136, -433.01933384857875, -5.646761578248629)\n",
       "-100.0\n",
-      "((7, 5, -7, 0), (11, 5, -8, 0), (16, 4, -8, -1))\n",
-      "(-182.6897074571275, 674.4049137422179, 1403.624006407706)\n",
-      "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",
-      "((17, 4, -9, -1), (11, 5, -8, 0), (16, 4, -8, -1))\n",
-      "(-23.640085392392848, 474.4049137422179, 1203.624006407706)\n",
-      "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",
-      "((9, 6, -8, 0), (11, 5, -8, 0), (16, 4, -8, -1))\n",
-      "(-11.908800122615261, 374.4049137422179, 1103.624006407706)\n",
-      "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",
-      "((13, 5, -9, 0), (11, 5, -8, 0), (16, 4, -8, -1))\n",
-      "(-311.9088001226153, -10.062279727459497, 803.624006407706)\n",
-      "1\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (-2, 0, 1, 0))\n",
+      "(-719.3330477134136, -488.1589541825386, -17.378046848026543)\n",
       "300.0\n",
-      "((13, 5, -9, 0), (13, 4, -7, -1), (16, 4, -8, -1))\n",
-      "(-111.90880012261528, 34.79809993858041, 1003.624006407706)\n",
-      "1\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (-1, 1, 0, 0))\n",
+      "(-519.3330477134136, -288.1589541825386, -21.288048578801522)\n",
       "-200.0\n",
-      "((13, 5, -9, 0), (18, 4, -8, -2), (16, 4, -8, -1))\n",
-      "(-51.51561392625234, 334.79809993858044, 1303.624006407706)\n",
-      "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",
-      "((20, 4, -9, -2), (18, 4, -8, -2), (16, 4, -8, -1))\n",
-      "(-451.51561392625234, -65.20190006141956, 1562.1706722089111)\n",
-      "1\n",
+      "((0, 0, 0, 0), (3, 0, 0, -1), (-2, 0, 1, 0))\n",
+      "(-619.3330477134136, -388.1589541825386, -1.845240317704338)\n",
       "400.0\n",
-      "((20, 4, -9, -2), (18, 4, -8, -2), (24, 4, -10, -2))\n",
-      "(-135.8743269256998, -65.20190006141956, 1562.1706722089111)\n",
-      "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",
-      "((21, 5, -10, -2), (18, 4, -8, -2), (24, 4, -10, -2))\n",
-      "(-335.8743269256998, -265.20190006141956, 1321.1118138034158)\n",
-      "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",
-      "((21, 5, -10, -2), (18, 4, -8, -2), (17, 4, -7, -2))\n",
-      "(-235.8743269256998, -165.20190006141956, 466.0806739396861)\n",
-      "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",
-      "((21, 5, -10, -2), (18, 4, -8, -2), (20, 6, -10, -2))\n",
-      "(-335.8743269256998, -20.233039925149086, 366.0806739396861)\n",
-      "1\n",
+      "((0, 0, 0, 0), (4, -1, -1, 0), (2, -1, 0, 0))\n",
+      "(-699.8902394523163, -588.1589541825385, 113.79604668284856)\n",
       "100.0\n",
-      "((21, 5, -10, -2), (22, 6, -11, -2), (20, 6, -10, -2))\n",
-      "(-235.8743269256998, -31.964325194926886, 466.0806739396861)\n",
-      "1\n",
+      "((0, 0, 0, 0), (4, -1, -1, 0), (3, 0, -1, 0))\n",
+      "(-599.8902394523163, -488.15895418253854, -101.84524031770434)\n",
       "-100.0\n",
-      "((21, 5, -10, -2), (18, 7, -10, -2), (20, 6, -10, -2))\n",
-      "(-335.8743269256998, -131.9643251949269, 477.81195920946357)\n",
-      "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",
-      "((21, 5, -10, -2), (18, 7, -10, -2), (24, 5, -11, -2))\n",
-      "(-124.1430416559221, -31.964325194926886, 577.8119592094636)\n",
-      "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",
-      "((25, 4, -11, -2), (18, 7, -10, -2), (24, 5, -11, -2))\n",
-      "(36.86158127419992, 268.0356748050731, 877.8119592094636)\n",
-      "0\n",
-      "-300.0\n"
+      "((0, 0, 0, 0), (4, -1, -1, 0), (2, -1, 0, 0))\n",
+      "(-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"
      ]
     }
    ],
@@ -3594,29 +13411,9 @@
     "#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))))"
    ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 185,
-   "id": "6a13bec1-1a48-4647-821e-f1779976d80f",
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "0.63746202768425"
-      ]
-     },
-     "execution_count": 185,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
-   "source": [
-    "hs_array_to_fr((14, -5, -3, 0, -1, 1))"
-   ]
   }
  ],
  "metadata": {
diff --git a/compact_sets_play.scd b/compact_sets_play.scd
index 29d3588..175b07a 100644
--- a/compact_sets_play.scd
+++ b/compact_sets_play.scd
@@ -30,7 +30,7 @@ hsArrayDimDiff = {
 	if(fArray.sum == 0, {1}, {(primes[fArray.abs.indexOf(1) + 1] * fArray.sum)})
 };
 
-file = File("/home/mwinter/Sketches/compact_sets/seq.txt".standardizePath,"r");
+file = File("/home/mwinter/Sketches/compact_sets/seq_bak.txt".standardizePath,"r");
 seq = file.readAllString.interpret;
 
 //seq = seq.collect({arg item; item.sort});
@@ -191,9 +191,9 @@ chords.postln;
 musicData = chords.flop.collect({arg voice, v;
 	var phrases, freqs, vDurs, delays, attacks, rels, sustains, amps, refs;
 	phrases = voice.postln.separate({arg a, b; a != b});
-	freqs = phrases.postln.collect({arg phrase; if(phrase[0] != ["Rest"], {45.midicps * pow(2, ([0, 1, 1][v]).clip(0, 2)) * hsArrayToFreq.value(phrase[0])}, {Rest(0)})});
+	freqs = phrases.postln.collect({arg phrase; if(phrase[0] != ["Rest"], {60.midicps * pow(2, ([1, 1, 1][v]).clip(0, 2)) * hsArrayToFreq.value(phrase[0])}, {Rest(0)})});
 	vDurs = durs.clumps(phrases.collect({arg phrase; phrase.size})).collect({arg c; c.sum});
-	amps = freqs.collect({rrand(0.6, 0.7) / [1, 2, 2, 2][v]});
+	amps = freqs.collect({rrand(0.6, 0.7) / [2, 2, 3, 2][v]});
 	[freqs, vDurs, amps].flop;
 });
 
@@ -204,10 +204,10 @@ musicData = chords.flop.collect({arg voice, v;
 		var freqs, durs, attacks, delays, sustains, rels, amps;
 		# freqs, durs, amps = voice.flop;
 		//# durs, attacks, delays, sustains, rels = [durs, attacks, delays, sustains, rels].collect({arg data; data / 16});
-		durs = durs * 16;
+		durs = durs;
 		durs.postln;
-		rels = (durs / 2).clip(0, 3);
-		attacks = (durs / 2).clip(0, 3);
+		rels = (durs / 2).clip(0, 0.01);
+		attacks = (durs / 2).clip(0, 0.05);
 		sustains = durs - rels;
 		Pbind(
 			\instrument, \string_model,