my.ipynb

{
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   "cell_type": "code",
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   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "pixel = [i for i in [512,768,960,1024,1280,1536,1792,2048]]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1.0, 2.25, 3.515625, 4.0, 6.25, 9.0, 12.25, 16.0]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pixel"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "dmas = [1401.31,3105.48,4830.97,5491.33,8558.85,12308.03,16738.89,21851.41]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "tiu = [530.71,1962.99,4284.51,5404.98,12293.5,24475.89,44209.98,74164.14]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'530.71,1962.99,4284.51,5404.98,12293.5,24475.89,44209.98,74164.14'"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\"530.71\t1962.99\t4284.51\t5404.98\t12293.5\t24475.89\t44209.98\t74164.14\".replace(\"\\t\\t\",\"\\t\").replace(\"\\t\",\",\")"
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   "cell_type": "code",
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    {
     "data": {
      "text/plain": [
       "\u001b[0;31mSignature:\u001b[0m \u001b[0mplt\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mplot\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m*\u001b[0m\u001b[0margs\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mscalex\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mscaley\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mTrue\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;32mNone\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwargs\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
       "\u001b[0;31mDocstring:\u001b[0m\n",
       "Plot y versus x as lines and/or markers.\n",
       "\n",
       "Call signatures::\n",
       "\n",
       "    plot([x], y, [fmt], *, data=None, **kwargs)\n",
       "    plot([x], y, [fmt], [x2], y2, [fmt2], ..., **kwargs)\n",
       "\n",
       "The coordinates of the points or line nodes are given by *x*, *y*.\n",
       "\n",
       "The optional parameter *fmt* is a convenient way for defining basic\n",
       "formatting like color, marker and linestyle. It's a shortcut string\n",
       "notation described in the *Notes* section below.\n",
       "\n",
       ">>> plot(x, y)        # plot x and y using default line style and color\n",
       ">>> plot(x, y, 'bo')  # plot x and y using blue circle markers\n",
       ">>> plot(y)           # plot y using x as index array 0..N-1\n",
       ">>> plot(y, 'r+')     # ditto, but with red plusses\n",
       "\n",
       "You can use `.Line2D` properties as keyword arguments for more\n",
       "control on the appearance. Line properties and *fmt* can be mixed.\n",
       "The following two calls yield identical results:\n",
       "\n",
       ">>> plot(x, y, 'go--', linewidth=2, markersize=12)\n",
       ">>> plot(x, y, color='green', marker='o', linestyle='dashed',\n",
       "...      linewidth=2, markersize=12)\n",
       "\n",
       "When conflicting with *fmt*, keyword arguments take precedence.\n",
       "\n",
       "\n",
       "**Plotting labelled data**\n",
       "\n",
       "There's a convenient way for plotting objects with labelled data (i.e.\n",
       "data that can be accessed by index ``obj['y']``). Instead of giving\n",
       "the data in *x* and *y*, you can provide the object in the *data*\n",
       "parameter and just give the labels for *x* and *y*::\n",
       "\n",
       ">>> plot('xlabel', 'ylabel', data=obj)\n",
       "\n",
       "All indexable objects are supported. This could e.g. be a `dict`, a\n",
       "`pandas.DataFrame` or a structured numpy array.\n",
       "\n",
       "\n",
       "**Plotting multiple sets of data**\n",
       "\n",
       "There are various ways to plot multiple sets of data.\n",
       "\n",
       "- The most straight forward way is just to call `plot` multiple times.\n",
       "  Example:\n",
       "\n",
       "  >>> plot(x1, y1, 'bo')\n",
       "  >>> plot(x2, y2, 'go')\n",
       "\n",
       "- If *x* and/or *y* are 2D arrays a separate data set will be drawn\n",
       "  for every column. If both *x* and *y* are 2D, they must have the\n",
       "  same shape. If only one of them is 2D with shape (N, m) the other\n",
       "  must have length N and will be used for every data set m.\n",
       "\n",
       "  Example:\n",
       "\n",
       "  >>> x = [1, 2, 3]\n",
       "  >>> y = np.array([[1, 2], [3, 4], [5, 6]])\n",
       "  >>> plot(x, y)\n",
       "\n",
       "  is equivalent to:\n",
       "\n",
       "  >>> for col in range(y.shape[1]):\n",
       "  ...     plot(x, y[:, col])\n",
       "\n",
       "- The third way is to specify multiple sets of *[x]*, *y*, *[fmt]*\n",
       "  groups::\n",
       "\n",
       "  >>> plot(x1, y1, 'g^', x2, y2, 'g-')\n",
       "\n",
       "  In this case, any additional keyword argument applies to all\n",
       "  datasets. Also, this syntax cannot be combined with the *data*\n",
       "  parameter.\n",
       "\n",
       "By default, each line is assigned a different style specified by a\n",
       "'style cycle'. The *fmt* and line property parameters are only\n",
       "necessary if you want explicit deviations from these defaults.\n",
       "Alternatively, you can also change the style cycle using\n",
       ":rc:`axes.prop_cycle`.\n",
       "\n",
       "\n",
       "Parameters\n",
       "----------\n",
       "x, y : array-like or scalar\n",
       "    The horizontal / vertical coordinates of the data points.\n",
       "    *x* values are optional and default to ``range(len(y))``.\n",
       "\n",
       "    Commonly, these parameters are 1D arrays.\n",
       "\n",
       "    They can also be scalars, or two-dimensional (in that case, the\n",
       "    columns represent separate data sets).\n",
       "\n",
       "    These arguments cannot be passed as keywords.\n",
       "\n",
       "fmt : str, optional\n",
       "    A format string, e.g. 'ro' for red circles. See the *Notes*\n",
       "    section for a full description of the format strings.\n",
       "\n",
       "    Format strings are just an abbreviation for quickly setting\n",
       "    basic line properties. All of these and more can also be\n",
       "    controlled by keyword arguments.\n",
       "\n",
       "    This argument cannot be passed as keyword.\n",
       "\n",
       "data : indexable object, optional\n",
       "    An object with labelled data. If given, provide the label names to\n",
       "    plot in *x* and *y*.\n",
       "\n",
       "    .. note::\n",
       "        Technically there's a slight ambiguity in calls where the\n",
       "        second label is a valid *fmt*. ``plot('n', 'o', data=obj)``\n",
       "        could be ``plt(x, y)`` or ``plt(y, fmt)``. In such cases,\n",
       "        the former interpretation is chosen, but a warning is issued.\n",
       "        You may suppress the warning by adding an empty format string\n",
       "        ``plot('n', 'o', '', data=obj)``.\n",
       "\n",
       "Returns\n",
       "-------\n",
       "list of `.Line2D`\n",
       "    A list of lines representing the plotted data.\n",
       "\n",
       "Other Parameters\n",
       "----------------\n",
       "scalex, scaley : bool, default: True\n",
       "    These parameters determine if the view limits are adapted to the\n",
       "    data limits. The values are passed on to\n",
       "    `~.axes.Axes.autoscale_view`.\n",
       "\n",
       "**kwargs : `.Line2D` properties, optional\n",
       "    *kwargs* are used to specify properties like a line label (for\n",
       "    auto legends), linewidth, antialiasing, marker face color.\n",
       "    Example::\n",
       "\n",
       "    >>> plot([1, 2, 3], [1, 2, 3], 'go-', label='line 1', linewidth=2)\n",
       "    >>> plot([1, 2, 3], [1, 4, 9], 'rs', label='line 2')\n",
       "\n",
       "    If you specify multiple lines with one plot call, the kwargs apply\n",
       "    to all those lines. In case the label object is iterable, each\n",
       "    element is used as labels for each set of data.\n",
       "\n",
       "    Here is a list of available `.Line2D` properties:\n",
       "\n",
       "    Properties:\n",
       "    agg_filter: a filter function, which takes a (m, n, 3) float array and a dpi value, and returns a (m, n, 3) array and two offsets from the bottom left corner of the image\n",
       "    alpha: scalar or None\n",
       "    animated: bool\n",
       "    antialiased or aa: bool\n",
       "    clip_box: `.Bbox`\n",
       "    clip_on: bool\n",
       "    clip_path: Patch or (Path, Transform) or None\n",
       "    color or c: color\n",
       "    dash_capstyle: `.CapStyle` or {'butt', 'projecting', 'round'}\n",
       "    dash_joinstyle: `.JoinStyle` or {'miter', 'round', 'bevel'}\n",
       "    dashes: sequence of floats (on/off ink in points) or (None, None)\n",
       "    data: (2, N) array or two 1D arrays\n",
       "    drawstyle or ds: {'default', 'steps', 'steps-pre', 'steps-mid', 'steps-post'}, default: 'default'\n",
       "    figure: `.Figure`\n",
       "    fillstyle: {'full', 'left', 'right', 'bottom', 'top', 'none'}\n",
       "    gapcolor: color or None\n",
       "    gid: str\n",
       "    in_layout: bool\n",
       "    label: object\n",
       "    linestyle or ls: {'-', '--', '-.', ':', '', (offset, on-off-seq), ...}\n",
       "    linewidth or lw: float\n",
       "    marker: marker style string, `~.path.Path` or `~.markers.MarkerStyle`\n",
       "    markeredgecolor or mec: color\n",
       "    markeredgewidth or mew: float\n",
       "    markerfacecolor or mfc: color\n",
       "    markerfacecoloralt or mfcalt: color\n",
       "    markersize or ms: float\n",
       "    markevery: None or int or (int, int) or slice or list[int] or float or (float, float) or list[bool]\n",
       "    mouseover: bool\n",
       "    path_effects: `.AbstractPathEffect`\n",
       "    picker: float or callable[[Artist, Event], tuple[bool, dict]]\n",
       "    pickradius: unknown\n",
       "    rasterized: bool\n",
       "    sketch_params: (scale: float, length: float, randomness: float)\n",
       "    snap: bool or None\n",
       "    solid_capstyle: `.CapStyle` or {'butt', 'projecting', 'round'}\n",
       "    solid_joinstyle: `.JoinStyle` or {'miter', 'round', 'bevel'}\n",
       "    transform: unknown\n",
       "    url: str\n",
       "    visible: bool\n",
       "    xdata: 1D array\n",
       "    ydata: 1D array\n",
       "    zorder: float\n",
       "\n",
       "See Also\n",
       "--------\n",
       "scatter : XY scatter plot with markers of varying size and/or color (\n",
       "    sometimes also called bubble chart).\n",
       "\n",
       "Notes\n",
       "-----\n",
       "**Format Strings**\n",
       "\n",
       "A format string consists of a part for color, marker and line::\n",
       "\n",
       "    fmt = '[marker][line][color]'\n",
       "\n",
       "Each of them is optional. If not provided, the value from the style\n",
       "cycle is used. Exception: If ``line`` is given, but no ``marker``,\n",
       "the data will be a line without markers.\n",
       "\n",
       "Other combinations such as ``[color][marker][line]`` are also\n",
       "supported, but note that their parsing may be ambiguous.\n",
       "\n",
       "**Markers**\n",
       "\n",
       "=============   ===============================\n",
       "character       description\n",
       "=============   ===============================\n",
       "``'.'``         point marker\n",
       "``','``         pixel marker\n",
       "``'o'``         circle marker\n",
       "``'v'``         triangle_down marker\n",
       "``'^'``         triangle_up marker\n",
       "``'<'``         triangle_left marker\n",
       "``'>'``         triangle_right marker\n",
       "``'1'``         tri_down marker\n",
       "``'2'``         tri_up marker\n",
       "``'3'``         tri_left marker\n",
       "``'4'``         tri_right marker\n",
       "``'8'``         octagon marker\n",
       "``'s'``         square marker\n",
       "``'p'``         pentagon marker\n",
       "``'P'``         plus (filled) marker\n",
       "``'*'``         star marker\n",
       "``'h'``         hexagon1 marker\n",
       "``'H'``         hexagon2 marker\n",
       "``'+'``         plus marker\n",
       "``'x'``         x marker\n",
       "``'X'``         x (filled) marker\n",
       "``'D'``         diamond marker\n",
       "``'d'``         thin_diamond marker\n",
       "``'|'``         vline marker\n",
       "``'_'``         hline marker\n",
       "=============   ===============================\n",
       "\n",
       "**Line Styles**\n",
       "\n",
       "=============    ===============================\n",
       "character        description\n",
       "=============    ===============================\n",
       "``'-'``          solid line style\n",
       "``'--'``         dashed line style\n",
       "``'-.'``         dash-dot line style\n",
       "``':'``          dotted line style\n",
       "=============    ===============================\n",
       "\n",
       "Example format strings::\n",
       "\n",
       "    'b'    # blue markers with default shape\n",
       "    'or'   # red circles\n",
       "    '-g'   # green solid line\n",
       "    '--'   # dashed line with default color\n",
       "    '^k:'  # black triangle_up markers connected by a dotted line\n",
       "\n",
       "**Colors**\n",
       "\n",
       "The supported color abbreviations are the single letter codes\n",
       "\n",
       "=============    ===============================\n",
       "character        color\n",
       "=============    ===============================\n",
       "``'b'``          blue\n",
       "``'g'``          green\n",
       "``'r'``          red\n",
       "``'c'``          cyan\n",
       "``'m'``          magenta\n",
       "``'y'``          yellow\n",
       "``'k'``          black\n",
       "``'w'``          white\n",
       "=============    ===============================\n",
       "\n",
       "and the ``'CN'`` colors that index into the default property cycle.\n",
       "\n",
       "If the color is the only part of the format string, you can\n",
       "additionally use any  `matplotlib.colors` spec, e.g. full names\n",
       "(``'green'``) or hex strings (``'#008000'``).\n",
       "\u001b[0;31mFile:\u001b[0m      /opt/homebrew/Caskroom/miniconda/base/lib/python3.10/site-packages/matplotlib/pyplot.py\n",
       "\u001b[0;31mType:\u001b[0m      function"
      ]
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     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x12f32f820>]"
      ]
     },
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     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(pixel, dmas)\n",
    "plt.plot(pixel, tiu)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# how to generate forward graph and make it into table format\n",
    "import json \n",
    "from collections import defaultdict\n",
    "import math\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "path = \"/Users/wangyangzuo/Desktop/公司/sd_forward.json\"\n",
    "\n",
    "total_graph = json.load(open(path,'r'))\n",
    "\n",
    "graph         = total_graph['graph']\n",
    "links         = total_graph['links']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "reverse_links = defaultdict(list)\n",
    "in_degree     = defaultdict(int)\n",
    "for k,v in links.items():\n",
    "    for link in v:\n",
    "        reverse_links[link].append(k)\n",
    "        in_degree[k] += 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 隶属关系\n",
    "next_nodes  = [[graph, None]]\n",
    "father_dict = dict()\n",
    "id_info = dict()\n",
    "while next_nodes:\n",
    "    node, parent = next_nodes.pop()\n",
    "    key_id       = list(node.keys())[0]\n",
    "    if parent:\n",
    "        father_dict[key_id] = list(parent.keys())[0]\n",
    "    if \"children\" not in node[key_id] or not node[key_id]['children']:\n",
    "        id_info[key_id] = node[key_id]\n",
    "        continue\n",
    "    for child in node[key_id]['children']:\n",
    "        next_nodes.append([child, node])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "id_name = {i:id_info[i][\"name\"] for i in id_info.keys()}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "import re\n",
    "global_idx = 10000000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "simple pattern\n",
      "[[-1, -1, ['reshape', 'permute', 'reshape', 'transpose'], True]]\n",
      "[123144830548560, 123144830566544, 123144830568016, 123144830573904]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[123144830548560, 123144830566544, 123144830568016, 123144830573904]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "\n",
    "def rewrite_graph(graph, links, source_ids, target_ids ):\n",
    "    pass\n",
    "\n",
    "\n",
    "\n",
    "def bfs_search(start_id, names, preset=None):\n",
    "    t_s = [start_id]\n",
    "    vis = set().union().union(preset)\n",
    "    ends = [id_name[str(start_id)]] + names\n",
    "    res = []\n",
    "    while t_s:\n",
    "        t = t_s.pop(0)\n",
    "        if id_name[str(t)] != ends[len(res)]:\n",
    "            return []\n",
    "        if id_name[str(t)] == ends[len(res)]:\n",
    "            res.append(t)\n",
    "        vis.add(t)\n",
    "        if len(res) == len(ends):\n",
    "            return res\n",
    "        if str(t) in links:\n",
    "            for link in links[str(t)]:\n",
    "                if link not in vis:\n",
    "                    t_s.append(int(link))\n",
    "    return res\n",
    "\n",
    "def bfs_search_bwd(end_id, names, preset=None):\n",
    "    t_s = [end_id]\n",
    "    vis = set().union(preset)\n",
    "    ends = [id_name[str(end_id)]] + names\n",
    "    res = []\n",
    "    while t_s:\n",
    "        t = t_s.pop(0)\n",
    "        if id_name[str(t)] != ends[len(res)]:\n",
    "            return []\n",
    "        if id_name[str(t)] == ends[len(res)]:\n",
    "            res.append(t)\n",
    "        vis.add(t)\n",
    "        if len(res) == len(ends):\n",
    "            return res\n",
    "        if int(t) in reverse_links:\n",
    "            for link in reverse_links[int(t)]:\n",
    "                if link not in vis:\n",
    "                    t_s.append(link)\n",
    "    return res\n",
    "\n",
    "def help_parse_pattern(pattern:str):\n",
    "    assert \"(\" not in pattern\n",
    "    top_down = True if \"->\" in pattern else False\n",
    "    pattern = pattern.split(\"<-\") if not top_down else pattern.split(\"->\")\n",
    "    return pattern, top_down\n",
    "\n",
    "def parse_pattern(pattern:str):\n",
    "    # to->linear->linear->to->(mul<-linear)->add \n",
    "    # 返回 [-1,-1, [to, linear, linear, to, mul, linear, add], top_down], [0,4 [mul, linear], down_top]\n",
    "    res = []\n",
    "    content = re.findall(r'\\(.*?\\)', pattern)\n",
    "    if not content:\n",
    "        print(\"simple pattern\")\n",
    "        p, top_down = help_parse_pattern(pattern)\n",
    "        return [[-1,-1,p,top_down]]\n",
    "    for idx, c in enumerate(content):\n",
    "        pattern = pattern.replace(c, \"*\")\n",
    "    fp, ftop_down = help_parse_pattern(pattern)\n",
    "    for idx, c in enumerate(content):\n",
    "        idx = fp.index(\"*\", idx)\n",
    "        p, top_down = help_parse_pattern(c[1:-1])\n",
    "        print(p, fp, idx)\n",
    "        fp[idx] = p[0]\n",
    "        res.append([0, idx, p, top_down])\n",
    "    return [[-1,-1,fp,ftop_down]] + res\n",
    "\n",
    "# print(parse_pattern(\"to->linear->linear->to->(mul<-linear)->add\"))\n",
    "\n",
    "def search_cur_patten(graph, links, pattern):\n",
    "    pre, node_id, p, top_down = pattern\n",
    "    start_name = p[0]\n",
    "    the_other  = p[1:]\n",
    "    next_nodes  = [[graph, None]]\n",
    "    pre_set = set() if pre == -1 else set(pre)\n",
    "    while next_nodes:\n",
    "        node, parent = next_nodes.pop(0)\n",
    "        key_id       = list(node.keys())[0]\n",
    "        if (node_id == -1 and node[key_id]['name'] == start_name) or int(node_id) == int(key_id):\n",
    "            res = bfs_search_bwd(int(key_id), the_other, pre_set) if not top_down else bfs_search(int(key_id), the_other, pre_set)\n",
    "            if not res: continue\n",
    "            return res\n",
    "        if \"children\" not in node[key_id] or not node[key_id]['children']:\n",
    "            continue\n",
    "        for child in node[key_id]['children']:\n",
    "            next_nodes.append([child, node])\n",
    "\n",
    "def search_pattern(graph, links, raw_pattern):\n",
    "    pattern = parse_pattern(raw_pattern)\n",
    "    print(pattern)\n",
    "    res = search_cur_patten(graph, links, pattern[0])\n",
    "    print(res)\n",
    "    for p in pattern[1:]:\n",
    "        p[0] = res\n",
    "        idx = p[1]\n",
    "        p[1] = res[idx]\n",
    "        tmp = search_cur_patten(graph, links, p)\n",
    "        for i in tmp:\n",
    "            if i not in res:\n",
    "                res.append(i)\n",
    "    return res\n",
    "\n",
    "def build_a_fuse_op(name, depth=None, input_shape=None, output_shape=None, inputs_dtypes=None, outputs_dtypes=None,  comment=\"\"):\n",
    "    # name, depth, idx, shape, inputs, outputs\n",
    "    # [\"attention\", [[\"baddbmm\",1], [\"baddbmm\",2], [\"bmm\",0]], [\"bmm\",0]]\n",
    "    global global_idx\n",
    "    idx = global_idx\n",
    "    global_idx += 1\n",
    "    t = {\n",
    "        \"name\": name,\n",
    "        \"depth\": depth,\n",
    "        \"idx\": idx,\n",
    "        \"input_shape\" : input_shape,\n",
    "        \"output_shape\": output_shape,\n",
    "        \"input_dtype\": inputs_dtypes,\n",
    "        \"output_dtype\": outputs_dtypes,\n",
    "        \"comment\": comment,\n",
    "        \"children\": None\n",
    "    }\n",
    "    return {str(idx): t}\n",
    "\n",
    "def handle_link(cur_id, replace_id=None):\n",
    "    # if not replace id then delete all links\n",
    "    if replace_id:\n",
    "        father_ids = reverse_links[cur_id]\n",
    "        for father_id in father_ids:\n",
    "            idx = links[father_id].index(str(cur_id))\n",
    "            links[father_id][idx] = int(replace_id)\n",
    "        links[str(replace_id)] = links[str(cur_id)]\n",
    "    else:\n",
    "        father_ids = reverse_links[cur_id]\n",
    "        for father_id in father_ids:\n",
    "            idx = links[father_id].index(str(cur_id))\n",
    "            links[father_id].pop(idx)\n",
    "        del links[str(cur_id)]\n",
    "\n",
    "def build_attention_op(badbmm_op):\n",
    "    depth = badbmm_op['depth']\n",
    "    shape = badbmm_op['input_shape']\n",
    "    input_shape  = [ shape[1], shape[2] ,shape[2]]\n",
    "    output_shape = [ shape[1]]\n",
    "    input_dtype = badbmm_op['input_dtype']\n",
    "    output_dtype = badbmm_op['output_dtype']\n",
    "    comment = \"fuse op\"\n",
    "    return build_a_fuse_op(\"attention\", depth, input_shape, output_shape, input_dtype, output_dtype, comment)\n",
    "\n",
    "def attention_match_and_rewrite(graph, links, raw_pattern):\n",
    "    res            = search_pattern(graph, links, raw_pattern)\n",
    "    if not res: return graph, links, False\n",
    "    next_nodes  = [[graph, None]]\n",
    "    attenion_op = None\n",
    "    flag = False\n",
    "    while next_nodes:\n",
    "        node, parent = next_nodes.pop(0)\n",
    "        key_id       = list(node.keys())[0]\n",
    "        parent_id    = list(parent.keys())[0] if parent else None\n",
    "        if int(key_id) == int(res[0]):\n",
    "            flag = True\n",
    "            attenion_op = build_attention_op(node[key_id])\n",
    "            idx = parent[parent_id]['children'].index(node)\n",
    "            parent[parent_id]['children'][idx] = attenion_op\n",
    "            attention_op_id = list(attenion_op.keys())[0]\n",
    "            handle_link(key_id, attention_op_id)\n",
    "        elif int(key_id) == int(res[-1]):\n",
    "            parent[parent_id]['children'].remove(node)\n",
    "            handle_link(key_id, attention_op_id)\n",
    "        elif key_id in res:\n",
    "            parent[parent_id]['children'].remove(node)\n",
    "            handle_link(key_id)\n",
    "        if \"children\" not in node[key_id] or not node[key_id]['children']:\n",
    "            continue\n",
    "        for child in node[key_id]['children']:\n",
    "            next_nodes.append([child, node])\n",
    "    return graph, links, flag\n",
    "\n",
    "# def attention_before_trans(graph, links, patterns=None):\n",
    "#     if not patterns:\n",
    "#         patterns = \"reshape->permute->reshape->transpose\"\n",
    "#     res = search_pattern(graph, links, patterns)\n",
    "#     next_nodes = [[graph, None]]\n",
    "#     flag = False\n",
    "\n",
    "#     return graph, links\n",
    "\n",
    "# while 1:\n",
    "#     graph, links, flag = attention_match_and_rewrite(graph, links, \"baddbmm->softmax->to->bmm\")\n",
    "#     if not flag:\n",
    "#         break\n",
    "\n",
    "search_pattern(graph, links, \"reshape->permute->reshape->transpose\")\n",
    "\n",
    "# print(search_patten( graph, links, \"to->linear->linear->to->mul->(add<-linear)\"))\n",
    "# search_pattern(graph, links, \"baddbmm->softmax->to->bmm\")\n",
    "# search_cur_patten(graph, links, \"baddbmm->softmax->to->bmm\")\n",
    "# search_cur_patten(graph, links, \"to->linear->linear->to->(mul<-linear)->add\")\n",
    "# search_cur_patten(graph, links, \"add<-linear\")\n",
    "# (-1,-1,[to, linear, linear, to, mul, linear, add], top_down), (0,4 [mul, linear], down_top)\n",
    "# (a<-d->e)->b->c forbid\n",
    "# (a<-(f->g))->b->c->d->e allow "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "with open(\"new_graph2.json\", \"w\") as f:\n",
    "    json.dump(graph, f, indent=4)\n",
    "# graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "defaultdict(list,\n",
       "            {123145429053136: ['123145429082576'],\n",
       "             123145429030608: ['123145429053136'],\n",
       "             123144832097936: ['123145450072400'],\n",
       "             123144832099216: ['123144832097936'],\n",
       "             123144832295312: ['123144832099216'],\n",
       "             123144832293520: ['123145429030608'],\n",
       "             123144832296528: ['123144832293520', '123144832295312'],\n",
       "             123144832000400: ['123144832296528'],\n",
       "             123145433053392: ['123144832000400'],\n",
       "             123145433051600: ['123144832000400'],\n",
       "             123145433049296: ['123145433053392', '123145433051600'],\n",
       "             123145433055568: ['123145433049296'],\n",
       "             123145433057168: ['123145433049296'],\n",
       "             123145433058768: ['123145433055568', '123145433057168'],\n",
       "             123145432526288: ['123145433058768'],\n",
       "             123144832100624: ['123145432526288'],\n",
       "             123144832105744: ['123144832100624'],\n",
       "             123144832388432: ['123144832105744'],\n",
       "             123145450821776: ['123144832388176'],\n",
       "             123144832453904: ['123145450821776', '123144832454096'],\n",
       "             123145429061072: ['123145450821776'],\n",
       "             123144821718672: ['123145450821776', '123144820231568'],\n",
       "             123144832400784: ['123145429061072'],\n",
       "             123144832419728: ['123144832400784'],\n",
       "             123144832427536: ['123144832419728', '123144832424784'],\n",
       "             123144832422416: ['123144832388432'],\n",
       "             123144830998992: ['123144832388432'],\n",
       "             123144829572496: ['123144832388432'],\n",
       "             123144830286992: ['123144832388432'],\n",
       "             123144828893776: ['123144832388432'],\n",
       "             123144827462032: ['123144832388432'],\n",
       "             123144828164560: ['123144832388432'],\n",
       "             123144828262544: ['123144832388432'],\n",
       "             123144828315024: ['123144832388432'],\n",
       "             123144826863568: ['123144832388432'],\n",
       "             123144826982096: ['123144832388432'],\n",
       "             123144827067536: ['123144832388432'],\n",
       "             123144827169680: ['123144832388432'],\n",
       "             123144827297872: ['123144832388432'],\n",
       "             123144825883792: ['123144832388432'],\n",
       "             123144824453328: ['123144832388432'],\n",
       "             123144823114256: ['123144832388432'],\n",
       "             123144823764432: ['123144832388432'],\n",
       "             123144822350416: ['123144832388432'],\n",
       "             123144823075600: ['123144832388432'],\n",
       "             123144821661456: ['123144832388432'],\n",
       "             123144820280144: ['123144832388432'],\n",
       "             123144832424848: ['123144832422416'],\n",
       "             123144832424784: ['123144832424848'],\n",
       "             123144832430672: ['123144832427536'],\n",
       "             123144832433360: ['123144832430672'],\n",
       "             123145429036176: ['123144832433360'],\n",
       "             123144832454096: ['123145429036176'],\n",
       "             123144832456656: ['123144832453904'],\n",
       "             123144830968208: ['123144832456656', '123144830968528'],\n",
       "             123144832461648: ['123144832456656'],\n",
       "             123144832464272: ['123144832461648'],\n",
       "             123144832463952: ['123144832464272'],\n",
       "             123144832466832: ['123144832463952'],\n",
       "             123144832523984: ['123144832466832', '123144830636560'],\n",
       "             123144832385616: ['123144832466832'],\n",
       "             123144832526992: ['123144832385616'],\n",
       "             123144832529552: ['123144832385616'],\n",
       "             123144830467024: ['123144832385616'],\n",
       "             123144830486480: ['123144832385616'],\n",
       "             123144830500560: ['123144832385616'],\n",
       "             123144830536464: ['123144832385616'],\n",
       "             123144830459792: ['123144832526992', '123145432526864'],\n",
       "             123144830452816: ['123144832529552'],\n",
       "             123144830455952: ['123144830452816'],\n",
       "             123144830452624: ['123144830455952'],\n",
       "             123145432526864: ['123144830452624'],\n",
       "             123144830460880: ['123144830459792'],\n",
       "             123144830462352: ['123144830460880'],\n",
       "             123144830463824: ['123144830462352'],\n",
       "             123144830575376: ['123144830463824', '123144830573904'],\n",
       "             123144830497488: ['123144830467024', '123144830486224'],\n",
       "             123144830490384: ['123144830486480'],\n",
       "             123144830493584: ['123144830490384'],\n",
       "             123144830493328: ['123144830493584'],\n",
       "             123144830486224: ['123144830493328'],\n",
       "             123144830548560: ['123144830497488'],\n",
       "             123144830547472: ['123144830500560', '123144830536208'],\n",
       "             123144830540368: ['123144830536464'],\n",
       "             123144830543568: ['123144830540368'],\n",
       "             123144830543312: ['123144830543568'],\n",
       "             123144830536208: ['123144830543312'],\n",
       "             123144830569360: ['123144830547472'],\n",
       "             123144830566544: ['123144830548560'],\n",
       "             123144830568016: ['123144830566544'],\n",
       "             123144830573904: ['123144830568016'],\n",
       "             123144830570768: ['123144830569360'],\n",
       "             123144830572240: ['123144830570768'],\n",
       "             123144830579600: ['123144830572240', '123144830578704'],\n",
       "             123145429012432: ['123144830575376'],\n",
       "             123144830578704: ['123145429012432'],\n",
       "             123144830581648: ['123144830579600'],\n",
       "             123144830599312: ['123144830581648'],\n",
       "             123144830600784: ['123144830599312'],\n",
       "             123144830603856: ['123144830600784'],\n",
       "             123144830606864: ['123144830600784'],\n",
       "             123144830634192: ['123144830603856', '123144830606608'],\n",
       "             123144830610768: ['123144830606864'],\n",
       "             123144830613904: ['123144830610768'],\n",
       "             123144830613648: ['123144830613904'],\n",
       "             123144830606608: ['123144830613648'],\n",
       "             123144830637328: ['123144830634192'],\n",
       "             123144830636560: ['123144830637328'],\n",
       "             123144830645648: ['123144832523984', '123144830889552'],\n",
       "             123144830642384: ['123144832523984'],\n",
       "             123144830665040: ['123144830642384'],\n",
       "             123144830668112: ['123144830642384'],\n",
       "             123144830679120: ['123144830665040', '123144830667856'],\n",
       "             123144830672016: ['123144830668112'],\n",
       "             123144830675152: ['123144830672016'],\n",
       "             123144830674896: ['123144830675152'],\n",
       "             123144830667856: ['123144830674896'],\n",
       "             123144830680208: ['123144830679120'],\n",
       "             123144830698128: ['123144830680208'],\n",
       "             123144830699600: ['123144830698128'],\n",
       "             123144830811408: ['123144830699600', '123144830809936'],\n",
       "             123144830702800: ['123144830701520'],\n",
       "             123144830766032: ['123144830702800', '123144830705616'],\n",
       "             123144830705872: ['123144830705232'],\n",
       "             123144830709712: ['123144830705872'],\n",
       "             123144830712912: ['123144830709712'],\n",
       "             123144830712656: ['123144830712912'],\n",
       "             123144830705616: ['123144830712656'],\n",
       "             123144830800784: ['123144830766032'],\n",
       "             123144830769104: ['123144830767824'],\n",
       "             123144830799696: ['123144830769104', '123144830771984'],\n",
       "             123144830772240: ['123144830771600'],\n",
       "             123144830776144: ['123144830772240'],\n",
       "             123144830779344: ['123144830776144'],\n",
       "             123144830779088: ['123144830779344'],\n",
       "             123144830771984: ['123144830779088'],\n",
       "             123144830805136: ['123144830799696'],\n",
       "             123144830802320: ['123144830800784'],\n",
       "             123144830803792: ['123144830802320'],\n",
       "             123144830809936: ['123144830803792'],\n",
       "             123144830806544: ['123144830805136'],\n",
       "             123144830808016: ['123144830806544'],\n",
       "             123144830848784: ['123144830808016', '123144830847824'],\n",
       "             123144830846352: ['123144830811408'],\n",
       "             123144830847824: ['123144830846352'],\n",
       "             123144830850576: ['123144830848784'],\n",
       "             123144830852112: ['123144830850576'],\n",
       "             123144830853584: ['123144830852112'],\n",
       "             123144830856848: ['123144830853584'],\n",
       "             123144830859856: ['123144830853584'],\n",
       "             123144830887184: ['123144830856848', '123144830856464'],\n",
       "             123144830880208: ['123144830859856'],\n",
       "             123144830883344: ['123144830880208'],\n",
       "             123144830883088: ['123144830883344'],\n",
       "             123144830856464: ['123144830883088'],\n",
       "             123144830890320: ['123144830887184'],\n",
       "             123144830889552: ['123144830890320'],\n",
       "             123144830914192: ['123144830645648', '123144830961744'],\n",
       "             123144830911696: ['123144830645648'],\n",
       "             123144830918544: ['123144830911696'],\n",
       "             123144830916112: ['123144830918544'],\n",
       "             123144830923600: ['123144830916112', '123144830918416'],\n",
       "             123144830918416: ['123144830916112'],\n",
       "             123144830926096: ['123144830923600'],\n",
       "             123144830961744: ['123144830926096'],\n",
       "             123144832519312: ['123144830914192'],\n",
       "             123144830965136: ['123144832519312'],\n",
       "             123144830966096: ['123144830965136'],\n",
       "             123144830968528: ['123144830966096'],\n",
       "             123144831031888: ['123144830968208', '123144831032080'],\n",
       "             123144830974288: ['123144830968208'],\n",
       "             123144821052112: ['123144830968208', '123144821629328'],\n",
       "             123144830993488: ['123144830974288'],\n",
       "             123144830996176: ['123144830993488'],\n",
       "             123144831004880: ['123144830996176', '123144831001616'],\n",
       "             123144831002064: ['123144830998992'],\n",
       "             123144831001616: ['123144831002064'],\n",
       "             123144831007888: ['123144831004880'],\n",
       "             123144831027024: ['123144831007888'],\n",
       "             123144831029648: ['123144831027024'],\n",
       "             123144831032080: ['123144831029648'],\n",
       "             123144831034640: ['123144831031888'],\n",
       "             123144829533520: ['123144831034640', '123144829533840'],\n",
       "             123144831039760: ['123144831034640'],\n",
       "             123144831091600: ['123144831039760'],\n",
       "             123144831091344: ['123144831091600'],\n",
       "             123144831094224: ['123144831091344'],\n",
       "             123144831103056: ['123144831094224', '123144831314576'],\n",
       "             123144831100304: ['123144831094224'],\n",
       "             123144831106384: ['123144831100304'],\n",
       "             123144831109520: ['123144831100304'],\n",
       "             123144831160528: ['123144831100304'],\n",
       "             123144831163600: ['123144831100304'],\n",
       "             123144831194128: ['123144831100304'],\n",
       "             123144831197264: ['123144831100304'],\n",
       "             123144831120464: ['123144831106384', '123144831109264'],\n",
       "             123144831113424: ['123144831109520'],\n",
       "             123144831116560: ['123144831113424'],\n",
       "             123144831116304: ['123144831116560'],\n",
       "             123144831109264: ['123144831116304'],\n",
       "             123144831121552: ['123144831120464'],\n",
       "             123144831123024: ['123144831121552'],\n",
       "             123144831157328: ['123144831123024'],\n",
       "             123144831220048: ['123144831157328', '123144831218576'],\n",
       "             123144831191056: ['123144831160528', '123144831163344'],\n",
       "             123144831167504: ['123144831163600'],\n",
       "             123144831170704: ['123144831167504'],\n",
       "             123144831170448: ['123144831170704'],\n",
       "             123144831163344: ['123144831170448'],\n",
       "             123144831209424: ['123144831191056'],\n",
       "             123144831208336: ['123144831194128', '123144831197008'],\n",
       "             123144831201168: ['123144831197264'],\n",
       "             123144831204368: ['123144831201168'],\n",
       "             123144831204112: ['123144831204368'],\n",
       "             123144831197008: ['123144831204112'],\n",
       "             123144831213776: ['123144831208336'],\n",
       "             123144831210960: ['123144831209424'],\n",
       "             123144831212432: ['123144831210960'],\n",
       "             123144831218576: ['123144831212432'],\n",
       "             123144831215184: ['123144831213776'],\n",
       "             123144831216656: ['123144831215184'],\n",
       "             123144831273808: ['123144831216656', '123144831272848'],\n",
       "             123144831221584: ['123144831220048'],\n",
       "             123144831272848: ['123144831221584'],\n",
       "             123144831275600: ['123144831273808'],\n",
       "             123144831277136: ['123144831275600'],\n",
       "             123144831278608: ['123144831277136'],\n",
       "             123144831281872: ['123144831278608'],\n",
       "             123144831284880: ['123144831278608'],\n",
       "             123144831312208: ['123144831281872', '123144831281488'],\n",
       "             123144831305232: ['123144831284880'],\n",
       "             123144831308368: ['123144831305232'],\n",
       "             123144831308112: ['123144831308368'],\n",
       "             123144831281488: ['123144831308112'],\n",
       "             123144831315344: ['123144831312208'],\n",
       "             123144831314576: ['123144831315344'],\n",
       "             123144831356496: ['123144831103056', '123144829470544'],\n",
       "             123144831353232: ['123144831103056'],\n",
       "             123144831359440: ['123144831353232'],\n",
       "             123144831362512: ['123144831353232'],\n",
       "             123144831406352: ['123144831359440', '123144831362256'],\n",
       "             123144831366416: ['123144831362512'],\n",
       "             123144831402384: ['123144831366416'],\n",
       "             123144831402192: ['123144831402384'],\n",
       "             123144831362256: ['123144831402192'],\n",
       "             123144831407440: ['123144831406352'],\n",
       "             123144831408912: ['123144831407440'],\n",
       "             123144831410384: ['123144831408912'],\n",
       "             123144829425168: ['123144831410384', '123144829423696'],\n",
       "             123144831413584: ['123144831412304'],\n",
       "             123144831444112: ['123144831413584', '123144831412880'],\n",
       "             123144831416656: ['123144831416016'],\n",
       "             123144831437008: ['123144831416656'],\n",
       "             123144831440208: ['123144831437008'],\n",
       "             123144831439952: ['123144831440208'],\n",
       "             123144831412880: ['123144831439952'],\n",
       "             123144831478864: ['123144831444112'],\n",
       "             123144831447184: ['123144831445904'],\n",
       "             123144831477776: ['123144831447184', '123144831446480'],\n",
       "             123144831450320: ['123144831449680'],\n",
       "             123144831470672: ['123144831450320'],\n",
       "             123144831473872: ['123144831470672'],\n",
       "             123144831473616: ['123144831473872'],\n",
       "             123144831446480: ['123144831473616'],\n",
       "             123144831483216: ['123144831477776'],\n",
       "             123144831480400: ['123144831478864'],\n",
       "             123144831481872: ['123144831480400'],\n",
       "             123144829423696: ['123144831481872'],\n",
       "             123144829420304: ['123144831483216'],\n",
       "             123144829421776: ['123144829420304'],\n",
       "             123144829429712: ['123144829421776', '123144829428752'],\n",
       "             123144829427280: ['123144829425168'],\n",
       "             123144829428752: ['123144829427280'],\n",
       "             123144829431504: ['123144829429712'],\n",
       "             123144829433040: ['123144829431504'],\n",
       "             123144829434512: ['123144829433040'],\n",
       "             123144829437840: ['123144829434512'],\n",
       "             123144829440848: ['123144829434512'],\n",
       "             123144829451728: ['123144829437840', '123144829440592'],\n",
       "             123144829444752: ['123144829440848'],\n",
       "             123144829447888: ['123144829444752'],\n",
       "             123144829447632: ['123144829447888'],\n",
       "             123144829440592: ['123144829447632'],\n",
       "             123144829471312: ['123144829451728'],\n",
       "             123144829470544: ['123144829471312'],\n",
       "             123144829478736: ['123144831356496', '123144829526992'],\n",
       "             123144829476240: ['123144831356496'],\n",
       "             123144829483664: ['123144829476240'],\n",
       "             123144829481296: ['123144829483664'],\n",
       "             123144829521680: ['123144829481296', '123144829520016'],\n",
       "             123144829520016: ['123144829481296'],\n",
       "             123144829524176: ['123144829521680'],\n",
       "             123144829526992: ['123144829524176'],\n",
       "             123144831097680: ['123144829478736'],\n",
       "             123144829530384: ['123144831097680'],\n",
       "             123144829531408: ['123144829530384'],\n",
       "             123144829533840: ['123144829531408'],\n",
       "             123144829554768: ['123144829533520'],\n",
       "             123144823028368: ['123144829533520', '123144823024336'],\n",
       "             123144829564176: ['123144829554768'],\n",
       "             123144829657488: ['123144829554768'],\n",
       "             123144823838224: ['123144829554768', '123144822301776'],\n",
       "             123144829566928: ['123144829564176'],\n",
       "             123144829569680: ['123144829566928'],\n",
       "             123144829578384: ['123144829569680', '123144829575120'],\n",
       "             123144829575568: ['123144829572496'],\n",
       "             123144829575120: ['123144829575568'],\n",
       "             123144829581392: ['123144829578384'],\n",
       "             123144829649680: ['123144829581392'],\n",
       "             123144829652304: ['123144829649680'],\n",
       "             123144829654736: ['123144829652304'],\n",
       "             123144829657296: ['123144829654736', '123144829657488'],\n",
       "             123144829660048: ['123144829657296'],\n",
       "             123144830272656: ['123144829660048', '123144830272976'],\n",
       "             123144829681744: ['123144829660048'],\n",
       "             123144829684368: ['123144829681744'],\n",
       "             123144829684112: ['123144829684368'],\n",
       "             123144829686992: ['123144829684112'],\n",
       "             123144829695824: ['123144829686992', '123144829923728'],\n",
       "             123144829693072: ['123144829686992'],\n",
       "             123144829715600: ['123144829693072'],\n",
       "             123144829718672: ['123144829693072'],\n",
       "             123144829769680: ['123144829693072'],\n",
       "             123144829772752: ['123144829693072'],\n",
       "             123144829803280: ['123144829693072'],\n",
       "             123144829806416: ['123144829693072'],\n",
       "             123144829729616: ['123144829715600', '123144829718416'],\n",
       "             123144829722576: ['123144829718672'],\n",
       "             123144829725712: ['123144829722576'],\n",
       "             123144829725456: ['123144829725712'],\n",
       "             123144829718416: ['123144829725456'],\n",
       "             123144829763664: ['123144829729616'],\n",
       "             123144829765008: ['123144829763664'],\n",
       "             123144829766480: ['123144829765008'],\n",
       "             123144829862032: ['123144829766480', '123144829844112'],\n",
       "             123144829800208: ['123144829769680', '123144829772496'],\n",
       "             123144829776656: ['123144829772752'],\n",
       "             123144829779856: ['123144829776656'],\n",
       "             123144829779600: ['123144829779856'],\n",
       "             123144829772496: ['123144829779600'],\n",
       "             123144829834960: ['123144829800208'],\n",
       "             123144829833872: ['123144829803280', '123144829806160'],\n",
       "             123144829810320: ['123144829806416'],\n",
       "             123144829829968: ['123144829810320'],\n",
       "             123144829829712: ['123144829829968'],\n",
       "             123144829806160: ['123144829829712'],\n",
       "             123144829839312: ['123144829833872'],\n",
       "             123144829836496: ['123144829834960'],\n",
       "             123144829837968: ['123144829836496'],\n",
       "             123144829844112: ['123144829837968'],\n",
       "             123144829840720: ['123144829839312'],\n",
       "             123144829842192: ['123144829840720'],\n",
       "             123144829866576: ['123144829842192', '123144829865616'],\n",
       "             123144829864144: ['123144829862032'],\n",
       "             123144829865616: ['123144829864144'],\n",
       "             123144829868368: ['123144829866576'],\n",
       "             123144829869904: ['123144829868368'],\n",
       "             123144829871376: ['123144829869904'],\n",
       "             123144829874640: ['123144829871376'],\n",
       "             123144829877648: ['123144829871376'],\n",
       "             123144829921360: ['123144829874640', '123144829874256'],\n",
       "             123144829914384: ['123144829877648'],\n",
       "             123144829917520: ['123144829914384'],\n",
       "             123144829917264: ['123144829917520'],\n",
       "             123144829874256: ['123144829917264'],\n",
       "             123144829924496: ['123144829921360'],\n",
       "             123144829923728: ['123144829924496'],\n",
       "             123144829965648: ['123144829695824', '123144830176848'],\n",
       "             123144829962384: ['123144829695824'],\n",
       "             123144829968592: ['123144829962384'],\n",
       "             123144829971664: ['123144829962384'],\n",
       "             123144829999120: ['123144829968592', '123144829971408'],\n",
       "             123144829975568: ['123144829971664'],\n",
       "             123144829995152: ['123144829975568'],\n",
       "             123144829994896: ['123144829995152'],\n",
       "             123144829971408: ['123144829994896'],\n",
       "             123144830000208: ['123144829999120'],\n",
       "             123144830001680: ['123144830000208'],\n",
       "             123144830003152: ['123144830001680'],\n",
       "             123144830115088: ['123144830003152', '123144830113616'],\n",
       "             123144830006352: ['123144830005072'],\n",
       "             123144830053264: ['123144830006352', '123144830005648'],\n",
       "             123144830042256: ['123144830008784'],\n",
       "             123144830046160: ['123144830042256'],\n",
       "             123144830049360: ['123144830046160'],\n",
       "             123144830049104: ['123144830049360'],\n",
       "             123144830005648: ['123144830049104'],\n",
       "             123144830088016: ['123144830053264'],\n",
       "             123144830056336: ['123144830055056'],\n",
       "             123144830086928: ['123144830056336', '123144830075664'],\n",
       "             123144830075920: ['123144830075280'],\n",
       "             123144830079824: ['123144830075920'],\n",
       "             123144830083024: ['123144830079824'],\n",
       "             123144830082768: ['123144830083024'],\n",
       "             123144830075664: ['123144830082768'],\n",
       "             123144830108816: ['123144830086928'],\n",
       "             123144830089552: ['123144830088016'],\n",
       "             123144830091024: ['123144830089552'],\n",
       "             123144830113616: ['123144830091024'],\n",
       "             123144830110224: ['123144830108816'],\n",
       "             123144830111696: ['123144830110224'],\n",
       "             123144830119632: ['123144830111696', '123144830118672'],\n",
       "             123144830117200: ['123144830115088'],\n",
       "             123144830118672: ['123144830117200'],\n",
       "             123144830121424: ['123144830119632'],\n",
       "             123144830122960: ['123144830121424'],\n",
       "             123144830140880: ['123144830122960'],\n",
       "             123144830144144: ['123144830140880'],\n",
       "             123144830147152: ['123144830140880'],\n",
       "             123144830174480: ['123144830144144', '123144830146896'],\n",
       "             123144830151056: ['123144830147152'],\n",
       "             123144830154192: ['123144830151056'],\n",
       "             123144830153936: ['123144830154192'],\n",
       "             123144830146896: ['123144830153936'],\n",
       "             123144830177616: ['123144830174480'],\n",
       "             123144830176848: ['123144830177616'],\n",
       "             123144830185040: ['123144829965648', '123144830216912'],\n",
       "             123144830182544: ['123144829965648'],\n",
       "             123144830206416: ['123144830182544'],\n",
       "             123144830206288: ['123144830206416'],\n",
       "             123144830211600: ['123144830206288', '123144830209936'],\n",
       "             123144830209936: ['123144830206288'],\n",
       "             123144830214096: ['123144830211600'],\n",
       "             123144830216912: ['123144830214096'],\n",
       "             123144829690448: ['123144830185040'],\n",
       "             123144830220304: ['123144829690448'],\n",
       "             123144830221328: ['123144830220304'],\n",
       "             123144830272976: ['123144830221328'],\n",
       "             123144830319888: ['123144830272656', '123144830320080'],\n",
       "             123144830278736: ['123144830272656'],\n",
       "             123144823155216: ['123144830272656', '123144823715920'],\n",
       "             123144830281488: ['123144830278736'],\n",
       "             123144830284176: ['123144830281488'],\n",
       "             123144830309328: ['123144830284176', '123144830306064'],\n",
       "             123144830306512: ['123144830286992'],\n",
       "             123144830306064: ['123144830306512'],\n",
       "             123144830312336: ['123144830309328'],\n",
       "             123144830315024: ['123144830312336'],\n",
       "             123144830317648: ['123144830315024'],\n",
       "             123144830320080: ['123144830317648'],\n",
       "             123144830339088: ['123144830319888'],\n",
       "             123144828837968: ['123144830339088', '123144828838288'],\n",
       "             123144830344208: ['123144830339088'],\n",
       "             123144830346832: ['123144830344208'],\n",
       "             123144830342032: ['123144830346832'],\n",
       "             123144830349456: ['123144830342032'],\n",
       "             123144830391120: ['123144830349456', '123144828521872'],\n",
       "             123144830388368: ['123144830349456'],\n",
       "             123144830394448: ['123144830388368'],\n",
       "             123144830397520: ['123144830388368'],\n",
       "             123144830432144: ['123144830388368'],\n",
       "             123144830435216: ['123144830388368'],\n",
       "             123144828368592: ['123144830388368'],\n",
       "             123144828404560: ['123144830388368'],\n",
       "             123144830424912: ['123144830394448', '123144830397264'],\n",
       "             123144830401424: ['123144830397520'],\n",
       "             123144830421008: ['123144830401424'],\n",
       "             123144830420752: ['123144830421008'],\n",
       "             123144830397264: ['123144830420752'],\n",
       "             123144830426000: ['123144830424912'],\n",
       "             123144830427472: ['123144830426000'],\n",
       "             123144830428944: ['123144830427472'],\n",
       "             123144828427344: ['123144830428944', '123144828425872'],\n",
       "             123144828365520: ['123144830432144', '123144830431440'],\n",
       "             123144828358416: ['123144830435216'],\n",
       "             123144828361616: ['123144828358416'],\n",
       "             123144828361360: ['123144828361616'],\n",
       "             123144830431440: ['123144828361360'],\n",
       "             123144828416656: ['123144828365520'],\n",
       "             123144828415568: ['123144828368592', '123144828404304'],\n",
       "             123144828408464: ['123144828404560'],\n",
       "             123144828411664: ['123144828408464'],\n",
       "             123144828411408: ['123144828411664'],\n",
       "             123144828404304: ['123144828411408'],\n",
       "             123144828421072: ['123144828415568'],\n",
       "             123144828418192: ['123144828416656'],\n",
       "             123144828419664: ['123144828418192'],\n",
       "             123144828425872: ['123144828419664'],\n",
       "             123144828422480: ['123144828421072'],\n",
       "             123144828423952: ['123144828422480'],\n",
       "             123144828431888: ['123144828423952', '123144828430928'],\n",
       "             123144828429456: ['123144828427344'],\n",
       "             123144828430928: ['123144828429456'],\n",
       "             123144828433680: ['123144828431888'],\n",
       "             123144828435216: ['123144828433680'],\n",
       "             123144828453136: ['123144828435216'],\n",
       "             123144828456400: ['123144828453136'],\n",
       "             123144828459408: ['123144828453136'],\n",
       "             123144828519504: ['123144828456400', '123144828459152'],\n",
       "             123144828463312: ['123144828459408'],\n",
       "             123144828466448: ['123144828463312'],\n",
       "             123144828466192: ['123144828466448'],\n",
       "             123144828459152: ['123144828466192'],\n",
       "             123144828522640: ['123144828519504'],\n",
       "             123144828521872: ['123144828522640'],\n",
       "             123144828530960: ['123144830391120', '123144828774928'],\n",
       "             123144828527696: ['123144830391120'],\n",
       "             123144828533904: ['123144828527696'],\n",
       "             123144828537040: ['123144828527696'],\n",
       "             123144828548048: ['123144828533904', '123144828536784'],\n",
       "             123144828540944: ['123144828537040'],\n",
       "             123144828544080: ['123144828540944'],\n",
       "             123144828543824: ['123144828544080'],\n",
       "             123144828536784: ['123144828543824'],\n",
       "             123144828549136: ['123144828548048'],\n",
       "             123144828550608: ['123144828549136'],\n",
       "             123144828568528: ['123144828550608'],\n",
       "             123144828647632: ['123144828568528', '123144828646160'],\n",
       "             123144828571728: ['123144828570448'],\n",
       "             123144828618640: ['123144828571728', '123144828574544'],\n",
       "             123144828574800: ['123144828574160'],\n",
       "             123144828578704: ['123144828574800'],\n",
       "             123144828581904: ['123144828578704'],\n",
       "             123144828581648: ['123144828581904'],\n",
       "             123144828574544: ['123144828581648'],\n",
       "             123144828637008: ['123144828618640'],\n",
       "             123144828621712: ['123144828620432'],\n",
       "             123144828635920: ['123144828621712', '123144828624592'],\n",
       "             123144828624848: ['123144828624208'],\n",
       "             123144828628752: ['123144828624848'],\n",
       "             123144828631952: ['123144828628752'],\n",
       "             123144828631696: ['123144828631952'],\n",
       "             123144828624592: ['123144828631696'],\n",
       "             123144828641360: ['123144828635920'],\n",
       "             123144828638544: ['123144828637008'],\n",
       "             123144828640016: ['123144828638544'],\n",
       "             123144828646160: ['123144828640016'],\n",
       "             123144828642768: ['123144828641360'],\n",
       "             123144828644240: ['123144828642768'],\n",
       "             123144828701392: ['123144828644240', '123144828700432'],\n",
       "             123144828649168: ['123144828647632'],\n",
       "             123144828700432: ['123144828649168'],\n",
       "             123144828703184: ['123144828701392'],\n",
       "             123144828704720: ['123144828703184'],\n",
       "             123144828706192: ['123144828704720'],\n",
       "             123144828709456: ['123144828706192'],\n",
       "             123144828712464: ['123144828706192'],\n",
       "             123144828772560: ['123144828709456', '123144828709072'],\n",
       "             123144828765584: ['123144828712464'],\n",
       "             123144828768720: ['123144828765584'],\n",
       "             123144828768464: ['123144828768720'],\n",
       "             123144828709072: ['123144828768464'],\n",
       "             123144828775696: ['123144828772560'],\n",
       "             123144828774928: ['123144828775696'],\n",
       "             123144828783376: ['123144828530960', '123144828831440'],\n",
       "             123144828780688: ['123144828530960'],\n",
       "             123144828788112: ['123144828780688'],\n",
       "             123144828785744: ['123144828788112'],\n",
       "             123144828793296: ['123144828785744', '123144828791632'],\n",
       "             123144828791632: ['123144828785744'],\n",
       "             123144828795792: ['123144828793296'],\n",
       "             123144828831440: ['123144828795792'],\n",
       "             123144830352912: ['123144828783376'],\n",
       "             123144828834832: ['123144830352912'],\n",
       "             123144828835856: ['123144828834832'],\n",
       "             123144828838288: ['123144828835856'],\n",
       "             123144828843280: ['123144828837968'],\n",
       "             123144825164112: ['123144828837968', '123144825160016'],\n",
       "             123144828885520: ['123144828843280'],\n",
       "             123144828929680: ['123144828843280'],\n",
       "             123144825941136: ['123144828843280', '123144824421072'],\n",
       "             123144828888272: ['123144828885520'],\n",
       "             123144828890960: ['123144828888272'],\n",
       "             123144828916112: ['123144828890960', '123144828912848'],\n",
       "             123144828913296: ['123144828893776'],\n",
       "             123144828912848: ['123144828913296'],\n",
       "             123144828919120: ['123144828916112'],\n",
       "             123144828921808: ['123144828919120'],\n",
       "             123144828924432: ['123144828921808'],\n",
       "             123144828926864: ['123144828924432'],\n",
       "             123144828929488: ['123144828926864', '123144828929680'],\n",
       "             123144828932240: ['123144828929488'],\n",
       "             123144827414864: ['123144828932240', '123144827415184'],\n",
       "             123144828937488: ['123144828932240'],\n",
       "             123144828940112: ['123144828937488'],\n",
       "             123144828935312: ['123144828940112'],\n",
       "             123144828942736: ['123144828935312'],\n",
       "             123144828984400: ['123144828942736', '123144829212304'],\n",
       "             123144828981648: ['123144828942736'],\n",
       "             123144828987728: ['123144828981648'],\n",
       "             123144828990800: ['123144828981648'],\n",
       "             123144829025424: ['123144828981648'],\n",
       "             123144829028560: ['123144828981648'],\n",
       "             123144829042640: ['123144828981648'],\n",
       "             123144829078608: ['123144828981648'],\n",
       "             123144829018192: ['123144828987728', '123144828987024'],\n",
       "             123144829011152: ['123144828990800'],\n",
       "             123144829014288: ['123144829011152'],\n",
       "             123144829014032: ['123144829014288'],\n",
       "             123144828987024: ['123144829014032'],\n",
       "             123144829019280: ['123144829018192'],\n",
       "             123144829020752: ['123144829019280'],\n",
       "             123144829022224: ['123144829020752'],\n",
       "             123144829134160: ['123144829022224', '123144829132688'],\n",
       "             123144829039568: ['123144829025424', '123144829028304'],\n",
       "             123144829032464: ['123144829028560'],\n",
       "             123144829035664: ['123144829032464'],\n",
       "             123144829035408: ['123144829035664'],\n",
       "             123144829028304: ['123144829035408'],\n",
       "             123144829090704: ['123144829039568'],\n",
       "             123144829089616: ['123144829042640', '123144829078352'],\n",
       "             123144829082512: ['123144829078608'],\n",
       "             123144829085712: ['123144829082512'],\n",
       "             123144829085456: ['123144829085712'],\n",
       "             123144829078352: ['123144829085456'],\n",
       "             123144829127888: ['123144829089616'],\n",
       "             123144829125072: ['123144829090704'],\n",
       "             123144829126544: ['123144829125072'],\n",
       "             123144829132688: ['123144829126544'],\n",
       "             123144829129296: ['123144829127888'],\n",
       "             123144829130768: ['123144829129296'],\n",
       "             123144829138704: ['123144829130768', '123144829137744'],\n",
       "             123144829136272: ['123144829134160'],\n",
       "             123144829137744: ['123144829136272'],\n",
       "             123144829140496: ['123144829138704'],\n",
       "             123144829158480: ['123144829140496'],\n",
       "             123144829159952: ['123144829158480'],\n",
       "             123144829163216: ['123144829159952'],\n",
       "             123144829166224: ['123144829159952'],\n",
       "             123144829209936: ['123144829163216', '123144829165968'],\n",
       "             123144829170128: ['123144829166224'],\n",
       "             123144829173264: ['123144829170128'],\n",
       "             123144829173008: ['123144829173264'],\n",
       "             123144829165968: ['123144829173008'],\n",
       "             123144829213072: ['123144829209936'],\n",
       "             123144829212304: ['123144829213072'],\n",
       "             123144829221392: ['123144828984400', '123144827335440'],\n",
       "             123144829218128: ['123144828984400'],\n",
       "             123144829257168: ['123144829218128'],\n",
       "             123144829260240: ['123144829218128'],\n",
       "             123144829271248: ['123144829257168', '123144829259984'],\n",
       "             123144829264144: ['123144829260240'],\n",
       "             123144829267280: ['123144829264144'],\n",
       "             123144829267024: ['123144829267280'],\n",
       "             123144829259984: ['123144829267024'],\n",
       "             123144829272400: ['123144829271248'],\n",
       "             123144829273872: ['123144829272400'],\n",
       "             123144829275344: ['123144829273872'],\n",
       "             123144829370896: ['123144829275344', '123144829352976'],\n",
       "             123144829278544: ['123144829277264'],\n",
       "             123144829309072: ['123144829278544', '123144829281360'],\n",
       "             123144829281616: ['123144829280976'],\n",
       "             123144829285520: ['123144829281616'],\n",
       "             123144829305168: ['123144829285520'],\n",
       "             123144829285136: ['123144829305168'],\n",
       "             123144829281360: ['123144829285136'],\n",
       "             123144829343824: ['123144829309072'],\n",
       "             123144829312144: ['123144829310864'],\n",
       "             123144829342736: ['123144829312144', '123144829315024'],\n",
       "             123144829315280: ['123144829314640'],\n",
       "             123144829319184: ['123144829315280'],\n",
       "             123144829338832: ['123144829319184'],\n",
       "             123144829338576: ['123144829338832'],\n",
       "             123144829315024: ['123144829338576'],\n",
       "             123144829348176: ['123144829342736'],\n",
       "             123144829345360: ['123144829343824'],\n",
       "             123144829346832: ['123144829345360'],\n",
       "             123144829352976: ['123144829346832'],\n",
       "             123144829349584: ['123144829348176'],\n",
       "             123144829351056: ['123144829349584'],\n",
       "             123144829375440: ['123144829351056', '123144829374480'],\n",
       "             123144829373008: ['123144829370896'],\n",
       "             123144829374480: ['123144829373008'],\n",
       "             123144829377232: ['123144829375440'],\n",
       "             123144829378768: ['123144829377232'],\n",
       "             123144829380240: ['123144829378768'],\n",
       "             123144829383504: ['123144829380240'],\n",
       "             123144829386512: ['123144829380240'],\n",
       "             123144827333072: ['123144829383504', '123144829383120'],\n",
       "             123144827326096: ['123144829386512'],\n",
       "             123144827329232: ['123144827326096'],\n",
       "             123144827328976: ['123144827329232'],\n",
       "             123144829383120: ['123144827328976'],\n",
       "             123144827336208: ['123144827333072'],\n",
       "             123144827335440: ['123144827336208'],\n",
       "             123144827376464: ['123144829221392', '123144827408336'],\n",
       "             123144827373968: ['123144829221392'],\n",
       "             123144827381392: ['123144827373968'],\n",
       "             123144827379024: ['123144827381392'],\n",
       "             123144827386576: ['123144827379024', '123144827384912'],\n",
       "             123144827384912: ['123144827379024'],\n",
       "             123144827405520: ['123144827386576'],\n",
       "             123144827408336: ['123144827405520'],\n",
       "             123144828979024: ['123144827376464'],\n",
       "             123144827411728: ['123144828979024'],\n",
       "             123144827412752: ['123144827411728'],\n",
       "             123144827415184: ['123144827412752'],\n",
       "             123144827511312: ['123144827414864', '123144827511504'],\n",
       "             123144827453776: ['123144827414864'],\n",
       "             123144825274512: ['123144827414864', '123144825835216'],\n",
       "             123144827456528: ['123144827453776'],\n",
       "             123144827459216: ['123144827456528'],\n",
       "             123144827467920: ['123144827459216', '123144827464656'],\n",
       "             123144827465104: ['123144827462032'],\n",
       "             123144827464656: ['123144827465104'],\n",
       "             123144827503760: ['123144827467920'],\n",
       "             123144827506448: ['123144827503760'],\n",
       "             123144827509072: ['123144827506448'],\n",
       "             123144827511504: ['123144827509072'],\n",
       "             123144827514064: ['123144827511312'],\n",
       "             123144828077392: ['123144827514064', '123144828077712'],\n",
       "             123144827519248: ['123144827514064'],\n",
       "             123144827521872: ['123144827519248'],\n",
       "             123144827521616: ['123144827521872'],\n",
       "             123144827524496: ['123144827521616'],\n",
       "             123144827533328: ['123144827524496', '123144827761232'],\n",
       "             123144827530576: ['123144827524496'],\n",
       "             123144827553104: ['123144827530576'],\n",
       "             123144827556176: ['123144827530576'],\n",
       "             123144827607184: ['123144827530576'],\n",
       "             123144827610256: ['123144827530576'],\n",
       "             123144827640784: ['123144827530576'],\n",
       "             123144827643920: ['123144827530576'],\n",
       "             123144827567120: ['123144827553104', '123144827555920'],\n",
       "             123144827560080: ['123144827556176'],\n",
       "             123144827563216: ['123144827560080'],\n",
       "             123144827562960: ['123144827563216'],\n",
       "             123144827555920: ['123144827562960'],\n",
       "             123144827601040: ['123144827567120'],\n",
       "             123144827602512: ['123144827601040'],\n",
       "             123144827603984: ['123144827602512'],\n",
       "             123144827715920: ['123144827603984', '123144827681616'],\n",
       "             123144827637712: ['123144827607184', '123144827610000'],\n",
       "             123144827614160: ['123144827610256'],\n",
       "             123144827633808: ['123144827614160'],\n",
       "             123144827617104: ['123144827633808'],\n",
       "             123144827610000: ['123144827617104'],\n",
       "             123144827672464: ['123144827637712'],\n",
       "             123144827671376: ['123144827640784', '123144827643664'],\n",
       "             123144827647824: ['123144827643920'],\n",
       "             123144827667472: ['123144827647824'],\n",
       "             123144827667216: ['123144827667472'],\n",
       "             123144827643664: ['123144827667216'],\n",
       "             123144827676816: ['123144827671376'],\n",
       "             123144827674000: ['123144827672464'],\n",
       "             123144827675472: ['123144827674000'],\n",
       "             123144827681616: ['123144827675472'],\n",
       "             123144827678224: ['123144827676816'],\n",
       "             123144827679696: ['123144827678224'],\n",
       "             123144827720464: ['123144827679696', '123144827719504'],\n",
       "             123144827718032: ['123144827715920'],\n",
       "             123144827719504: ['123144827718032'],\n",
       "             123144827722256: ['123144827720464'],\n",
       "             123144827723792: ['123144827722256'],\n",
       "             123144827725264: ['123144827723792'],\n",
       "             123144827728528: ['123144827725264'],\n",
       "             123144827731536: ['123144827725264'],\n",
       "             123144827758864: ['123144827728528', '123144827728144'],\n",
       "             123144827751888: ['123144827731536'],\n",
       "             123144827755024: ['123144827751888'],\n",
       "             123144827754768: ['123144827755024'],\n",
       "             123144827728144: ['123144827754768'],\n",
       "             123144827762000: ['123144827758864'],\n",
       "             123144827761232: ['123144827762000'],\n",
       "             123144827803152: ['123144827533328', '123144828030736'],\n",
       "             123144827799888: ['123144827533328'],\n",
       "             123144827806096: ['123144827799888'],\n",
       "             123144827809168: ['123144827799888'],\n",
       "             123144827853008: ['123144827806096', '123144827808912'],\n",
       "             123144827813072: ['123144827809168'],\n",
       "             123144827849040: ['123144827813072'],\n",
       "             123144827848784: ['123144827849040'],\n",
       "             123144827808912: ['123144827848784'],\n",
       "             123144827854096: ['123144827853008'],\n",
       "             123144827855568: ['123144827854096'],\n",
       "             123144827857040: ['123144827855568'],\n",
       "             123144827952592: ['123144827857040', '123144827951120'],\n",
       "             123144827860240: ['123144827858960'],\n",
       "             123144827890768: ['123144827860240', '123144827879504'],\n",
       "             123144827879760: ['123144827862672'],\n",
       "             123144827883664: ['123144827879760'],\n",
       "             123144827886864: ['123144827883664'],\n",
       "             123144827886608: ['123144827886864'],\n",
       "             123144827879504: ['123144827886608'],\n",
       "             123144827925520: ['123144827890768'],\n",
       "             123144827893840: ['123144827892560'],\n",
       "             123144827924432: ['123144827893840', '123144827913168'],\n",
       "             123144827913424: ['123144827912784'],\n",
       "             123144827917328: ['123144827913424'],\n",
       "             123144827920528: ['123144827917328'],\n",
       "             123144827920272: ['123144827920528'],\n",
       "             123144827913168: ['123144827920272'],\n",
       "             123144827946320: ['123144827924432'],\n",
       "             123144827927056: ['123144827925520'],\n",
       "             123144827928528: ['123144827927056'],\n",
       "             123144827951120: ['123144827928528'],\n",
       "             123144827947728: ['123144827946320'],\n",
       "             123144827949200: ['123144827947728'],\n",
       "             123144827957136: ['123144827949200', '123144827956176'],\n",
       "             123144827954704: ['123144827952592'],\n",
       "             123144827956176: ['123144827954704'],\n",
       "             123144827958928: ['123144827957136'],\n",
       "             123144827960464: ['123144827958928'],\n",
       "             123144827962000: ['123144827960464'],\n",
       "             123144827965264: ['123144827962000'],\n",
       "             123144827968272: ['123144827962000'],\n",
       "             123144828028368: ['123144827965264', '123144827968016'],\n",
       "             123144827972176: ['123144827968272'],\n",
       "             123144827975312: ['123144827972176'],\n",
       "             123144827975056: ['123144827975312'],\n",
       "             123144827968016: ['123144827975056'],\n",
       "             123144828031504: ['123144828028368'],\n",
       "             123144828030736: ['123144828031504'],\n",
       "             123144828038928: ['123144827803152', '123144828070800'],\n",
       "             123144828036432: ['123144827803152'],\n",
       "             123144828060304: ['123144828036432'],\n",
       "             123144828060176: ['123144828060304'],\n",
       "             123144828065488: ['123144828060176', '123144828063824'],\n",
       "             123144828063824: ['123144828060176'],\n",
       "             123144828067984: ['123144828065488'],\n",
       "             123144828070800: ['123144828067984'],\n",
       "             123144827527952: ['123144828038928'],\n",
       "             123144828074192: ['123144827527952'],\n",
       "             123144828075216: ['123144828074192'],\n",
       "             123144828077712: ['123144828075216'],\n",
       "             123144828082704: ['123144828077392'],\n",
       "             123144827250704: ['123144828077392', '123144827246992'],\n",
       "             123144828197456: ['123144828082704', '123144828197648'],\n",
       "             123144828090704: ['123144828082704'],\n",
       "             123144827135888: ['123144828082704', '123144827138704'],\n",
       "             123144828159056: ['123144828090704'],\n",
       "             123144828161744: ['123144828159056'],\n",
       "             123144828170448: ['123144828161744', '123144828167184'],\n",
       "             123144828167632: ['123144828164560'],\n",
       "             123144828167184: ['123144828167632'],\n",
       "             123144828173456: ['123144828170448'],\n",
       "             123144828192592: ['123144828173456'],\n",
       "             123144828195216: ['123144828192592'],\n",
       "             123144828197648: ['123144828195216'],\n",
       "             123144828200208: ['123144828197456'],\n",
       "             123144828279056: ['123144828200208', '123144828279248'],\n",
       "             123144828205136: ['123144828200208'],\n",
       "             123144827033872: ['123144828200208', '123144827036688'],\n",
       "             123144828257040: ['123144828205136'],\n",
       "             123144828259728: ['123144828257040'],\n",
       "             123144828268432: ['123144828259728', '123144828265168'],\n",
       "             123144828265616: ['123144828262544'],\n",
       "             123144828265168: ['123144828265616'],\n",
       "             123144828271440: ['123144828268432'],\n",
       "             123144828274192: ['123144828271440'],\n",
       "             123144828276816: ['123144828274192'],\n",
       "             123144828279248: ['123144828276816'],\n",
       "             123144828281808: ['123144828279056'],\n",
       "             123144826267152: ['123144828281808', '123144826267344'],\n",
       "             123144828306832: ['123144828281808'],\n",
       "             123144826934992: ['123144828281808', '123144826932112'],\n",
       "             123144828309520: ['123144828306832'],\n",
       "             123144828312208: ['123144828309520'],\n",
       "             123144828320912: ['123144828312208', '123144828317648'],\n",
       "             123144828318096: ['123144828315024'],\n",
       "             123144828317648: ['123144828318096'],\n",
       "             123144826259600: ['123144828320912'],\n",
       "             123144826262288: ['123144826259600'],\n",
       "             123144826264912: ['123144826262288'],\n",
       "             123144826267344: ['123144826264912'],\n",
       "             123144826269904: ['123144826267152'],\n",
       "             123144826849296: ['123144826269904', '123144826849616'],\n",
       "             123144826291024: ['123144826269904'],\n",
       "             123144826293712: ['123144826291024'],\n",
       "             123144826290320: ['123144826293712'],\n",
       "             123144826296336: ['123144826290320'],\n",
       "             123144826305552: ['123144826296336', '123144826533136'],\n",
       "             123144826302480: ['123144826296336'],\n",
       "             123144826341392: ['123144826302480'],\n",
       "             123144826344464: ['123144826302480'],\n",
       "             123144826395472: ['123144826302480'],\n",
       "             123144826398544: ['123144826302480'],\n",
       "             123144826412688: ['123144826302480'],\n",
       "             123144826415824: ['123144826302480'],\n",
       "             123144826355408: ['123144826341392', '123144826344208'],\n",
       "             123144826348368: ['123144826344464'],\n",
       "             123144826351504: ['123144826348368'],\n",
       "             123144826351248: ['123144826351504'],\n",
       "             123144826344208: ['123144826351248'],\n",
       "             123144826389328: ['123144826355408'],\n",
       "             123144826390800: ['123144826389328'],\n",
       "             123144826392272: ['123144826390800'],\n",
       "             123144826487824: ['123144826392272', '123144826469904'],\n",
       "             123144826409616: ['123144826395472', '123144826398288'],\n",
       "             123144826402448: ['123144826398544'],\n",
       "             123144826405712: ['123144826402448'],\n",
       "             123144826405456: ['123144826405712'],\n",
       "             123144826398288: ['123144826405456'],\n",
       "             123144826460752: ['123144826409616'],\n",
       "             123144826459664: ['123144826412688', '123144826415568'],\n",
       "             123144826419728: ['123144826415824'],\n",
       "             123144826455760: ['123144826419728'],\n",
       "             123144826455504: ['123144826455760'],\n",
       "             123144826415568: ['123144826455504'],\n",
       "             123144826465104: ['123144826459664'],\n",
       "             123144826462288: ['123144826460752'],\n",
       "             123144826463760: ['123144826462288'],\n",
       "             123144826469904: ['123144826463760'],\n",
       "             123144826466512: ['123144826465104'],\n",
       "             123144826467984: ['123144826466512'],\n",
       "             123144826492368: ['123144826467984', '123144826491408'],\n",
       "             123144826489936: ['123144826487824'],\n",
       "             123144826491408: ['123144826489936'],\n",
       "             123144826494160: ['123144826492368'],\n",
       "             123144826495696: ['123144826494160'],\n",
       "             123144826497168: ['123144826495696'],\n",
       "             123144826500432: ['123144826497168'],\n",
       "             123144826519888: ['123144826497168'],\n",
       "             123144826530768: ['123144826500432', '123144826519632'],\n",
       "             123144826523792: ['123144826519888'],\n",
       "             123144826526928: ['123144826523792'],\n",
       "             123144826526672: ['123144826526928'],\n",
       "             123144826519632: ['123144826526672'],\n",
       "             123144826533904: ['123144826530768'],\n",
       "             123144826533136: ['123144826533904'],\n",
       "             123144826558672: ['123144826305552', '123144826786256'],\n",
       "             123144826555408: ['123144826305552'],\n",
       "             123144826561616: ['123144826555408'],\n",
       "             123144826564688: ['123144826555408'],\n",
       "             123144826608528: ['123144826561616', '123144826564432'],\n",
       "             123144826568592: ['123144826564688'],\n",
       "             123144826604560: ['123144826568592'],\n",
       "             123144826604304: ['123144826604560'],\n",
       "             123144826564432: ['123144826604304'],\n",
       "             123144826609616: ['123144826608528'],\n",
       "             123144826611088: ['123144826609616'],\n",
       "             123144826612560: ['123144826611088'],\n",
       "             123144826724496: ['123144826612560', '123144826723024'],\n",
       "             123144826615760: ['123144826614480'],\n",
       "             123144826662672: ['123144826615760', '123144826651408'],\n",
       "             123144826651664: ['123144826651024'],\n",
       "             123144826655568: ['123144826651664'],\n",
       "             123144826658768: ['123144826655568'],\n",
       "             123144826658512: ['123144826658768'],\n",
       "             123144826651408: ['123144826658512'],\n",
       "             123144826697424: ['123144826662672'],\n",
       "             123144826665744: ['123144826664464'],\n",
       "             123144826696336: ['123144826665744', '123144826685072'],\n",
       "             123144826685328: ['123144826684688'],\n",
       "             123144826689232: ['123144826685328'],\n",
       "             123144826692432: ['123144826689232'],\n",
       "             123144826692176: ['123144826692432'],\n",
       "             123144826685072: ['123144826692176'],\n",
       "             123144826718224: ['123144826696336'],\n",
       "             123144826698960: ['123144826697424'],\n",
       "             123144826716880: ['123144826698960'],\n",
       "             123144826723024: ['123144826716880'],\n",
       "             123144826719632: ['123144826718224'],\n",
       "             123144826721104: ['123144826719632'],\n",
       "             123144826729040: ['123144826721104', '123144826728080'],\n",
       "             123144826726608: ['123144826724496'],\n",
       "             123144826728080: ['123144826726608'],\n",
       "             123144826730832: ['123144826729040'],\n",
       "             123144826732368: ['123144826730832'],\n",
       "             123144826733904: ['123144826732368'],\n",
       "             123144826737168: ['123144826733904'],\n",
       "             123144826740176: ['123144826733904'],\n",
       "             123144826783888: ['123144826737168', '123144826739920'],\n",
       "             123144826744080: ['123144826740176'],\n",
       "             123144826747216: ['123144826744080'],\n",
       "             123144826746960: ['123144826747216'],\n",
       "             123144826739920: ['123144826746960'],\n",
       "             123144826787024: ['123144826783888'],\n",
       "             123144826786256: ['123144826787024'],\n",
       "             123144826794448: ['123144826558672', '123144826826320'],\n",
       "             123144826791952: ['123144826558672'],\n",
       "             123144826815824: ['123144826791952'],\n",
       "             123144826815120: ['123144826815824'],\n",
       "             123144826821008: ['123144826815120', '123144826819344'],\n",
       "             123144826819344: ['123144826815120'],\n",
       "             123144826823504: ['123144826821008'],\n",
       "             123144826826320: ['123144826823504'],\n",
       "             123144826299856: ['123144826794448'],\n",
       "             123144826829712: ['123144826299856'],\n",
       "             123144826830736: ['123144826829712'],\n",
       "             123144826849616: ['123144826830736'],\n",
       "             123144826929360: ['123144826849296', '123144826929552'],\n",
       "             123144826855376: ['123144826849296'],\n",
       "             123144826858128: ['123144826855376'],\n",
       "             123144826860816: ['123144826858128'],\n",
       "             123144826902352: ['123144826860816', '123144826899088'],\n",
       "             123144826899536: ['123144826863568'],\n",
       "             123144826899088: ['123144826899536'],\n",
       "             123144826905360: ['123144826902352'],\n",
       "             123144826908048: ['123144826905360'],\n",
       "             123144826910672: ['123144826908048'],\n",
       "             123144826929552: ['123144826910672'],\n",
       "             123144826932112: ['123144826929360'],\n",
       "             123144826941136: ['123144826934992'],\n",
       "             123144827034128: ['123144826934992'],\n",
       "             123144826943760: ['123144826941136'],\n",
       "             123144826979280: ['123144826943760'],\n",
       "             123144826987984: ['123144826979280', '123144826984720'],\n",
       "             123144826985168: ['123144826982096'],\n",
       "             123144826984720: ['123144826985168'],\n",
       "             123144826990864: ['123144826987984'],\n",
       "             123144826993488: ['123144826990864'],\n",
       "             123144827028944: ['123144826993488'],\n",
       "             123144827031376: ['123144827028944'],\n",
       "             123144827033936: ['123144827031376', '123144827034128'],\n",
       "             123144827036688: ['123144827033936'],\n",
       "             123144827042896: ['123144827033872'],\n",
       "             123144827136144: ['123144827033872'],\n",
       "             123144827062032: ['123144827042896'],\n",
       "             123144827064720: ['123144827062032'],\n",
       "             ...})"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "reverse_links"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'123145447308112': '123145450164432',\n",
       " '123144820935696': '123145447308112',\n",
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       " '123144820799184': '123144820603984',\n",
       " '123144820797712': '123144820603984',\n",
       " '123144820796176': '123144820603984',\n",
       " '123144820794384': '123144820603984',\n",
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       " '123144820788368': '123144820603984',\n",
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       " '123144820768528': '123144820603984',\n",
       " '123144820767120': '123144820603984',\n",
       " '123144820765776': '123144820603984',\n",
       " '123144820764304': '123144820603984',\n",
       " '123144820762768': '123144820603984',\n",
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       " '123144820757520': '123144820730768',\n",
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       " '123144820757776': '123144820754192',\n",
       " '123144820735888': '123144820730768',\n",
       " '123144820754576': '123144820735888',\n",
       " '123144820734224': '123144820730768',\n",
       " '123144820728848': '123144820603984',\n",
       " '123144820731088': '123144820728848',\n",
       " '123144820728016': '123144820603984',\n",
       " '123144820680400': '123144820603984',\n",
       " '123144820680784': '123144820603984',\n",
       " '123144820723856': '123144820680784',\n",
       " '123144820720528': '123144820680784',\n",
       " '123144820724112': '123144820720528',\n",
       " '123144820685840': '123144820680784',\n",
       " '123144820720912': '123144820685840',\n",
       " '123144820684176': '123144820680784',\n",
       " '123144820678992': '123144820603984',\n",
       " '123144820681104': '123144820678992',\n",
       " '123144820677904': '123144820603984',\n",
       " '123144820676432': '123144820603984',\n",
       " '123144820674960': '123144820603984',\n",
       " '123144820673872': '123144820603984',\n",
       " '123144820629776': '123144820603984',\n",
       " '123144820626640': '123144820603984',\n",
       " '123144820636816': '123144820626640',\n",
       " '123144820631632': '123144820626640',\n",
       " '123144820637072': '123144820631632',\n",
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       " '123144822159120': '123144824137488',\n",
       " '123144822157200': '123144824137488',\n",
       " '123144822155728': '123144824137488',\n",
       " '123144822154320': '123144824137488',\n",
       " '123144822152976': '123144824137488',\n",
       " '123144822151504': '123144824137488',\n",
       " '123144822149968': '123144824137488',\n",
       " '123144822148880': '123144824137488',\n",
       " '123144822137552': '123144824137488',\n",
       " '123144822134352': '123144824137488',\n",
       " '123144822144656': '123144822134352',\n",
       " '123144822139408': '123144822134352',\n",
       " '123144822144912': '123144822139408',\n",
       " '123144822139472': '123144822134352',\n",
       " '123144822141712': '123144822139472',\n",
       " '123144822137808': '123144822134352',\n",
       " '123144822132432': '123144824137488',\n",
       " '123144822134672': '123144822132432',\n",
       " '123144822131600': '123144824137488',\n",
       " '123144822087504': '123144824137488',\n",
       " '123144822084368': '123144824137488',\n",
       " '123144822094608': '123144822084368',\n",
       " '123144822089360': '123144822084368',\n",
       " '123144822094864': '123144822089360',\n",
       " '123144822089424': '123144822084368',\n",
       " '123144822091664': '123144822089424',\n",
       " '123144822087760': '123144822084368',\n",
       " '123144822082576': '123144824137488',\n",
       " '123144822084688': '123144822082576',\n",
       " '123144822081488': '123144824137488',\n",
       " '123144822080016': '123144824137488',\n",
       " '123144824159248': '123144824137488',\n",
       " '123144824158160': '123144824137488',\n",
       " '123144824146896': '123144824137488',\n",
       " '123144824143696': '123144824137488',\n",
       " '123144824153936': '123144824143696',\n",
       " '123144824148752': '123144824143696',\n",
       " '123144824154192': '123144824148752',\n",
       " '123144824148816': '123144824143696',\n",
       " '123144824151056': '123144824148816',\n",
       " '123144824147152': '123144824143696',\n",
       " '123144824141648': '123144824137488',\n",
       " '123144824144080': '123144824141648',\n",
       " '123144824136144': '123144823847376',\n",
       " '123144824137808': '123144824136144',\n",
       " '123144823887696': '123144823847376',\n",
       " '123144823884560': '123144823847376',\n",
       " '123144824131984': '123144823884560',\n",
       " '123144824130960': '123144823884560',\n",
       " '123144824132752': '123144824130960',\n",
       " '123144824129616': '123144823884560',\n",
       " '123144824069264': '123144823884560',\n",
       " '123144824066256': '123144823884560',\n",
       " '123144824076304': '123144824066256',\n",
       " '123144824071120': '123144824066256',\n",
       " '123144824076560': '123144824071120',\n",
       " '123144824071184': '123144824066256',\n",
       " '123144824073424': '123144824071184',\n",
       " '123144824069520': '123144824066256',\n",
       " '123144824064336': '123144823884560',\n",
       " '123144824066512': '123144824064336',\n",
       " '123144824063248': '123144823884560',\n",
       " '123144824045328': '123144823884560',\n",
       " '123144824043792': '123144823884560',\n",
       " '123144824042000': '123144823884560',\n",
       " '123144824041040': '123144823884560',\n",
       " '123144824039568': '123144823884560',\n",
       " '123144824037456': '123144823884560',\n",
       " '123144824035984': '123144823884560',\n",
       " '123144824034064': '123144823884560',\n",
       " '123144824032592': '123144823884560',\n",
       " '123144824031184': '123144823884560',\n",
       " '123144824029840': '123144823884560',\n",
       " '123144824011920': '123144823884560',\n",
       " '123144824010384': '123144823884560',\n",
       " '123144824009296': '123144823884560',\n",
       " '123144823998032': '123144823884560',\n",
       " '123144823945616': '123144823884560',\n",
       " '123144824005136': '123144823945616',\n",
       " '123144823999888': '123144823945616',\n",
       " '123144824005392': '123144823999888',\n",
       " '123144823999952': '123144823945616',\n",
       " '123144824002192': '123144823999952',\n",
       " '123144823998288': '123144823945616',\n",
       " '123144823943696': '123144823884560',\n",
       " '123144823945936': '123144823943696',\n",
       " '123144823942864': '123144823884560',\n",
       " '123144823931600': '123144823884560',\n",
       " '123144823912016': '123144823884560',\n",
       " '123144823938704': '123144823912016',\n",
       " '123144823933456': '123144823912016',\n",
       " '123144823938960': '123144823933456',\n",
       " '123144823933520': '123144823912016',\n",
       " '123144823935760': '123144823933520',\n",
       " '123144823931856': '123144823912016',\n",
       " '123144823910224': '123144823884560',\n",
       " '123144823912336': '123144823910224',\n",
       " '123144823909136': '123144823884560',\n",
       " '123144823907664': '123144823884560',\n",
       " '123144823906192': '123144823884560',\n",
       " '123144823905104': '123144823884560',\n",
       " '123144823893840': '123144823884560',\n",
       " '123144823890704': '123144823884560',\n",
       " '123144823900944': '123144823890704',\n",
       " '123144823895696': '123144823890704',\n",
       " '123144823901200': '123144823895696',\n",
       " '123144823895760': '123144823890704',\n",
       " '123144823898000': '123144823895760',\n",
       " '123144823894096': '123144823890704',\n",
       " '123144823888656': '123144823884560',\n",
       " '123144823891024': '123144823888656',\n",
       " '123144823882640': '123144823847376',\n",
       " '123144823884944': '123144823882640',\n",
       " '123144823846032': '123144823752912',\n",
       " '123144823838608': '123144823752912',\n",
       " '123144823840080': '123144823752912',\n",
       " '123144823843408': '123144823840080',\n",
       " '123144823838544': '123144823752912',\n",
       " '123144823840784': '123144823838544',\n",
       " '123144823752144': '123144827250320',\n",
       " '123144823835664': '123144823752144',\n",
       " '123144823832912': '123144823752144',\n",
       " '123144823811216': '123144823752144',\n",
       " '123144823833104': '123144823811216',\n",
       " '123144823808592': '123144823752144',\n",
       " '123144823813904': '123144823808592',\n",
       " '123144823808528': '123144823752144',\n",
       " '123144823811472': '123144823808528',\n",
       " '123144823805712': '123144823752144',\n",
       " '123144823808848': '123144823805712',\n",
       " '123144823804048': '123144823752144',\n",
       " '123144823806160': '123144823804048',\n",
       " '123144823803152': '123144823752144',\n",
       " '123144823799888': '123144823752144',\n",
       " '123144823761360': '123144823752144',\n",
       " '123144823800336': '123144823761360',\n",
       " '123144823761424': '123144823752144',\n",
       " '123144823764432': '123144823761424',\n",
       " '123144823755536': '123144823752144',\n",
       " '123144823761616': '123144823755536',\n",
       " '123144823755984': '123144823752144',\n",
       " '123144823758992': '123144823755984',\n",
       " '123144823754064': '123144823752144',\n",
       " '123144823756240': '123144823754064',\n",
       " '123144823155216': '123144827250320',\n",
       " '123144825167760': '123144827250320',\n",
       " '123144823715920': '123144825167760',\n",
       " '123144823714512': '123144825167760',\n",
       " '123144823716240': '123144823714512',\n",
       " '123144823713808': '123144825167760',\n",
       " '123144823712784': '123144825167760',\n",
       " '123144823182928': '123144825167760',\n",
       " '123144823180816': '123144825167760',\n",
       " '123144823677520': '123144823180816',\n",
       " '123144823674704': '123144823180816',\n",
       " '123144823706192': '123144823674704',\n",
       " '123144823709392': '123144823706192',\n",
       " '123144823679888': '123144823674704',\n",
       " '123144823706576': '123144823679888',\n",
       " '123144823678032': '123144823674704',\n",
       " '123144823704080': '123144823678032',\n",
       " '123144823702416': '123144823678032',\n",
       " '123144823680080': '123144823678032',\n",
       " '123144823680208': '123144823678032',\n",
       " '123144823682448': '123144823680208',\n",
       " '123144823673360': '123144823180816',\n",
       " '123144823675024': '123144823673360',\n",
       " '123144823441744': '123144823180816',\n",
       " '123144823405328': '123144823180816',\n",
       " '123144823669328': '123144823405328',\n",
       " '123144823619088': '123144823405328',\n",
       " '123144823670096': '123144823619088',\n",
       " '123144823617744': '123144823405328',\n",
       " '123144823606608': '123144823405328',\n",
       " '123144823603664': '123144823405328',\n",
       " '123144823613648': '123144823603664',\n",
       " '123144823608464': '123144823603664',\n",
       " '123144823613904': '123144823608464',\n",
       " '123144823608528': '123144823603664',\n",
       " '123144823610768': '123144823608528',\n",
       " '123144823606864': '123144823603664',\n",
       " '123144823601616': '123144823405328',\n",
       " ...}"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "father_dict"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "reverse_links = defaultdict(list)\n",
    "in_degree     = defaultdict(int)\n",
    "\n",
    "for k,v in links.items():\n",
    "    for link in v:\n",
    "        reverse_links[link].append(k)\n",
    "        in_degree[k] += 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [],
   "source": [
    "# graph remove one node \n",
    "# links remove one node\n",
    "next_nodes  = [[graph, None]]\n",
    "while next_nodes:\n",
    "    node, parent = next_nodes.pop(0)\n",
    "    key_id       = list(node.keys())[0]\n",
    "    if key_id == \"123145429012432\":\n",
    "        # parent delete node (list) remove from lists \n",
    "        if parent:\n",
    "            parent_id = list(parent.keys())[0]\n",
    "            parent[parent_id]['children'].remove(node)\n",
    "            if len(parent[parent_id]['children']) == 0:\n",
    "                parent[parent_id]['children'] = None\n",
    "    if \"children\" not in node[key_id] or not node[key_id]['children']:\n",
    "        continue\n",
    "    for child in node[key_id]['children']:\n",
    "        next_nodes.append([child, node])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "with open(\"new_graph.json\", \"w\") as f:\n",
    "    json.dump(graph, f)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'123145429082576': [123145429053136],\n",
       " '123145429053136': [123145429030608],\n",
       " '123145450072400': [123144832097936],\n",
       " '123144832097936': [123144832099216],\n",
       " '123144832099216': [123144832295312],\n",
       " '123145429030608': [123144832293520],\n",
       " '123144832293520': [123144832296528],\n",
       " '123144832295312': [123144832296528],\n",
       " '123144832296528': [123144832000400],\n",
       " '123144832000400': [123145433053392, 123145433051600],\n",
       " '123145433053392': [123145433049296],\n",
       " '123145433051600': [123145433049296],\n",
       " '123145433049296': [123145433055568, 123145433057168],\n",
       " '123145433055568': [123145433058768],\n",
       " '123145433057168': [123145433058768],\n",
       " '123145433058768': [123145432526288],\n",
       " '123145432526288': [123144832100624],\n",
       " '123144832100624': [123144832105744],\n",
       " '123144832105744': [123144832388432],\n",
       " '123144832388176': [123145450821776],\n",
       " '123145450821776': [123144832453904, 123145429061072, 123144821718672],\n",
       " '123145429061072': [123144832400784],\n",
       " '123144832400784': [123144832419728],\n",
       " '123144832419728': [123144832427536],\n",
       " '123144832388432': [123144832422416,\n",
       "  123144830998992,\n",
       "  123144829572496,\n",
       "  123144830286992,\n",
       "  123144828893776,\n",
       "  123144827462032,\n",
       "  123144828164560,\n",
       "  123144828262544,\n",
       "  123144828315024,\n",
       "  123144826863568,\n",
       "  123144826982096,\n",
       "  123144827067536,\n",
       "  123144827169680,\n",
       "  123144827297872,\n",
       "  123144825883792,\n",
       "  123144824453328,\n",
       "  123144823114256,\n",
       "  123144823764432,\n",
       "  123144822350416,\n",
       "  123144823075600,\n",
       "  123144821661456,\n",
       "  123144820280144],\n",
       " '123144832422416': [123144832424848],\n",
       " '123144832424848': [123144832424784],\n",
       " '123144832424784': [123144832427536],\n",
       " '123144832427536': [123144832430672],\n",
       " '123144832430672': [123144832433360],\n",
       " '123144832433360': [123145429036176],\n",
       " '123145429036176': [123144832454096],\n",
       " '123144832454096': [123144832453904],\n",
       " '123144832453904': [123144832456656],\n",
       " '123144832456656': [123144830968208, 123144832461648],\n",
       " '123144832461648': [123144832464272],\n",
       " '123144832464272': [123144832463952],\n",
       " '123144832463952': [123144832466832],\n",
       " '123144832466832': [123144832523984, 123144832385616],\n",
       " '123144832385616': [123144832526992,\n",
       "  123144832529552,\n",
       "  123144830467024,\n",
       "  123144830486480,\n",
       "  123144830500560,\n",
       "  123144830536464],\n",
       " '123144832526992': [123144830459792],\n",
       " '123144832529552': [123144830452816],\n",
       " '123144830452816': [123144830455952],\n",
       " '123144830455952': [123144830452624],\n",
       " '123144830452624': [123145432526864],\n",
       " '123145432526864': [123144830459792],\n",
       " '123144830459792': [123144830460880],\n",
       " '123144830460880': [123144830462352],\n",
       " '123144830462352': [123144830463824],\n",
       " '123144830463824': [123144830575376],\n",
       " '123144830467024': [123144830497488],\n",
       " '123144830486480': [123144830490384],\n",
       " '123144830490384': [123144830493584],\n",
       " '123144830493584': [123144830493328],\n",
       " '123144830493328': [123144830486224],\n",
       " '123144830486224': [123144830497488],\n",
       " '123144830497488': [123144830548560],\n",
       " '123144830500560': [123144830547472],\n",
       " '123144830536464': [123144830540368],\n",
       " '123144830540368': [123144830543568],\n",
       " '123144830543568': [123144830543312],\n",
       " '123144830543312': [123144830536208],\n",
       " '123144830536208': [123144830547472],\n",
       " '123144830547472': [123144830569360],\n",
       " '123144830548560': [123144830566544],\n",
       " '123144830566544': [123144830568016],\n",
       " '123144830568016': [123144830573904],\n",
       " '123144830569360': [123144830570768],\n",
       " '123144830570768': [123144830572240],\n",
       " '123144830572240': [123144830579600],\n",
       " '123144830573904': [123144830575376],\n",
       " '123144830575376': [123145429012432],\n",
       " '123145429012432': [123144830578704],\n",
       " '123144830578704': [123144830579600],\n",
       " '123144830579600': [123144830581648],\n",
       " '123144830581648': [123144830599312],\n",
       " '123144830599312': [123144830600784],\n",
       " '123144830600784': [123144830603856, 123144830606864],\n",
       " '123144830603856': [123144830634192],\n",
       " '123144830606864': [123144830610768],\n",
       " '123144830610768': [123144830613904],\n",
       " '123144830613904': [123144830613648],\n",
       " '123144830613648': [123144830606608],\n",
       " '123144830606608': [123144830634192],\n",
       " '123144830634192': [123144830637328],\n",
       " '123144830637328': [123144830636560],\n",
       " '123144830636560': [123144832523984],\n",
       " '123144832523984': [123144830645648, 123144830642384],\n",
       " '123144830642384': [123144830665040, 123144830668112],\n",
       " '123144830665040': [123144830679120],\n",
       " '123144830668112': [123144830672016],\n",
       " '123144830672016': [123144830675152],\n",
       " '123144830675152': [123144830674896],\n",
       " '123144830674896': [123144830667856],\n",
       " '123144830667856': [123144830679120],\n",
       " '123144830679120': [123144830680208],\n",
       " '123144830680208': [123144830698128],\n",
       " '123144830698128': [123144830699600],\n",
       " '123144830699600': [123144830811408],\n",
       " '123144830701520': [123144830702800],\n",
       " '123144830702800': [123144830766032],\n",
       " '123144830705232': [123144830705872],\n",
       " '123144830705872': [123144830709712],\n",
       " '123144830709712': [123144830712912],\n",
       " '123144830712912': [123144830712656],\n",
       " '123144830712656': [123144830705616],\n",
       " '123144830705616': [123144830766032],\n",
       " '123144830766032': [123144830800784],\n",
       " '123144830767824': [123144830769104],\n",
       " '123144830769104': [123144830799696],\n",
       " '123144830771600': [123144830772240],\n",
       " '123144830772240': [123144830776144],\n",
       " '123144830776144': [123144830779344],\n",
       " '123144830779344': [123144830779088],\n",
       " '123144830779088': [123144830771984],\n",
       " '123144830771984': [123144830799696],\n",
       " '123144830799696': [123144830805136],\n",
       " '123144830800784': [123144830802320],\n",
       " '123144830802320': [123144830803792],\n",
       " '123144830803792': [123144830809936],\n",
       " '123144830805136': [123144830806544],\n",
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       " '123144826990864': [123144826993488],\n",
       " '123144826993488': [123144827028944],\n",
       " ...}"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['123144830575376']"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "reverse_links[123145429012432]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[123144830578704]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "links['123145429012432']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[123145429012432]"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "links['123144830575376'] = 123144830578704"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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