{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "1336d603-6e86-4393-8520-00416b873528",
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "import glob\n",
    "import subprocess\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pwn\n",
    "import tensorflow as tf\n",
    "from keras.layers.core import Dense, Flatten\n",
    "from keras.models import Sequential\n",
    "from tqdm import tqdm\n",
    "\n",
    "tf.compat.v1.disable_eager_execution()\n",
    "\n",
    "image_data = []\n",
    "for f in sorted(glob.glob(\"images/*.png\")):\n",
    "    im = tf.keras.preprocessing.image.load_img(\n",
    "        f, grayscale=False, color_mode=\"rgb\", target_size=None, interpolation=\"nearest\"\n",
    "    )\n",
    "    im = tf.keras.preprocessing.image.img_to_array(im)\n",
    "    im = im.astype(\"float32\") / 255\n",
    "    image_data.append(im)\n",
    "image_data = np.array(image_data, \"float32\")"
   ]
  },
  {
   "cell_type": "raw",
   "id": "795464f8-e867-49ce-8b15-4dddfd673c57",
   "metadata": {
    "pycharm": {
     "name": "#%% raw\n"
    }
   },
   "source": [
    "We build a 1 bit oracle, that forwards a selected input byte out of 768 and returns if it's bigger or smaller than some treshold\n",
    "\n",
    "w_0_X is the input multiplier of the X'th input bit to the 0th output bit, as our weights are [0, 1] we multiply with *-255\n",
    "b_0 is the bias 0, we add to the output of sum(w0X@input)\n",
    "relu is a max(x, 0) function -> max(inp * -256 + treshold, 0) == inp > tresh\n",
    "w_0_48 is the weight connecting the out_0[0] to out_1[42] -> the net prints a \"0\" if \n",
    "\n",
    "\n",
    "# formula:\n",
    "out0[0] = inp * -w0X + b0  # layer 1 output\n",
    "out1[0] = max(0, out00)  # relu \n",
    "# this output is 0 if inp < tresh, otherwise > 0\n",
    "out2['1'] = out1[0]\n",
    "then it does argmax"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "5b93da27-a4a4-4b2e-8d9d-b683c42a316c",
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "class Simulator:\n",
    "    def __init__(self, image_data):\n",
    "        self.model = Sequential()\n",
    "        self.model.add(Flatten(input_shape=(16,16,3)))\n",
    "        self.model.add(Dense(4, activation='relu'))\n",
    "        self.model.add(Dense(128, activation='softmax'))\n",
    "        self.outpos = ord(\"0\")\n",
    "        self.image_data = image_data\n",
    "        self.size = 4\n",
    "\n",
    "    def set(self, layer, pos, val):\n",
    "        wt = self.model.get_weights()\n",
    "        wt[layer][pos] = val\n",
    "        self.model.set_weights(wt)\n",
    "\n",
    "    def set_zero(self):\n",
    "        wt = self.model.get_weights()\n",
    "        for w in wt:\n",
    "            w.fill(0)\n",
    "        self.model.set_weights(wt)\n",
    "\n",
    "    def set_w0(self, pxpos, val=-255):\n",
    "        self.set(0, (pxpos, 0), val)\n",
    "\n",
    "    def set_b0(self, tresh):\n",
    "        self.set(1, 0, tresh)\n",
    "\n",
    "    def set_w1(self):\n",
    "        self.set(2, (0, self.outpos), 1)\n",
    "\n",
    "    def predict(self, pxpos, tresh):\n",
    "        pred = self.model.predict(image_data)\n",
    "        return pred[:, self.outpos] > 0.5\n",
    "\n",
    "    def run(self, steps=2):\n",
    "        res = np.zeros((768, self.size))  # array to store results\n",
    "        step_size = 256 // steps\n",
    "\n",
    "        self.set_zero()\n",
    "        self.set_w1()\n",
    "\n",
    "        tq = tqdm(range(0, 768))\n",
    "        for pxpos in tq:\n",
    "            self.set_w0(pxpos)\n",
    "            for tresh in range(step_size, 256, step_size):\n",
    "                self.set_b0(tresh)\n",
    "                r = self.predict(pxpos, tresh)\n",
    "                res[pxpos] += r * step_size\n",
    "                # tq.set_postfix(p=pxpos, v=res[pxpos])\n",
    "            self.set_w0(pxpos, val=0)\n",
    "        return res\n",
    "\n",
    "def show(res):\n",
    "    for r in [img.reshape(16, 16, 3) for img in res.T.astype(int)]:\n",
    "        plt.imshow(r)\n",
    "        plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "fbbbdf70",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "  0%|                                                                                                                                                                                                                                                                                                                         | 0/768 [00:00<?, ?it/s]/usr/lib/python3.10/site-packages/keras/engine/training_v1.py:2067: UserWarning: `Model.state_updates` will be removed in a future version. This property should not be used in TensorFlow 2.0, as `updates` are applied automatically.\n",
      "  updates=self.state_updates,\n",
      "100%|███████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 768/768 [00:08<00:00, 95.04it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim = Simulator(image_data)\n",
    "res = sim.run()\n",
    "show(res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "9cf4625d",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": [
    "class PwnSimulator(Simulator):\n",
    "    def __init__(self, local):\n",
    "        super(PwnSimulator, self).__init__(None)\n",
    "        if local:\n",
    "            self.size = 4\n",
    "            self.proc = pwn.process([\"/bin/python\", \"./server.py\"])\n",
    "        else:\n",
    "            self.size = 34\n",
    "            self.proc = pwn.remote(\"ocr.2022.ctfcompetition.com\", 1337)\n",
    "            chall = self.proc.recvuntil(b\"===================\").split(b\"\\n\")[-2].strip().decode()\n",
    "            chall_response = subprocess.check_output([\"sh\", \"-c\", chall])\n",
    "            self.proc.writeline(chall_response)\n",
    "            print(f\"Solved challenge {chall} with {chall_response}\")\n",
    "\n",
    "    def set_zero(self):\n",
    "        self.proc.writeline(\"0\")\n",
    "        self.proc.recvuntil(b\"Quit\", timeout=20)\n",
    "\n",
    "    def set(self, layer, pos, val):\n",
    "        self.proc.writeline(\"1\")\n",
    "        try:\n",
    "            pos = \" \".join(map(str, pos))\n",
    "        except:\n",
    "            pass\n",
    "        self.proc.writeline(f\"{layer} {pos} {val}\")\n",
    "        self.proc.recvuntil(b\"Quit\", timeout=1)\n",
    "\n",
    "    def predict(self, pxpos, tresh):\n",
    "        self.proc.writeline(\"2\")\n",
    "        self.proc.readuntilS(\"The neural network sees\")\n",
    "        line = self.proc.readlineS()[3:3+self.size]\n",
    "        return np.array([int(l) for l in line.replace(\"?\", \"1\")])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "ae6d8ba3-44b0-4096-af09-394bf9256181",
   "metadata": {
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[x] Starting local process '/bin/python'\n",
      "[+] Starting local process '/bin/python': pid 12695\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/lib/python3.10/site-packages/pwnlib/tubes/tube.py:1433: BytesWarning: Text is not bytes; assuming ASCII, no guarantees. See https://docs.pwntools.com/#bytes\n",
      "  return func(self, *a, **kw)\n",
      "  0%|          | 0/768 [00:00<?, ?it/s]/usr/lib/python3.10/site-packages/pwnlib/tubes/tube.py:1407: BytesWarning: Text is not bytes; assuming ASCII, no guarantees. See https://docs.pwntools.com/#bytes\n",
      "  return packing._decode(func(self, *a, **kw))\n",
      "100%|██████████| 768/768 [03:33<00:00,  3.59it/s, p=767, v=[240. 192. 128. 192.]]\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim = PwnSimulator(local=True)\n",
    "res = sim.run(steps=16)\n",
    "show(res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "225d4481",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[x] Opening connection to ocr.2022.ctfcompetition.com on port 1337\n",
      "[x] Opening connection to ocr.2022.ctfcompetition.com on port 1337: Trying 34.140.211.193\n",
      "[+] Opening connection to ocr.2022.ctfcompetition.com on port 1337: Done\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Solution: \n",
      "\n",
      "/usr/lib/python3.10/site-packages/pwnlib/tubes/tube.py:1433: BytesWarning: Text is not bytes; assuming ASCII, no guarantees. See https://docs.pwntools.com/#bytes\n",
      "  return func(self, *a, **kw)\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solved challenge python3 <(curl -sSL https://goo.gle/kctf-pow) solve s.ADQ6.AABzyXmauTF+9D98nkrfSrv4 with b's.AAABmi55L29Sa5n6CXOyiuS1iEyRPofx6YkQBu2LcobM266dQuGSrYtcULS3SzNDomXgudrB9GbghGlUJ9IpRb+ocx+PKwK0H/wuNK22aroMKeXw0BWp1BILKgnQ9S6oE19wUnSobwhCcSfCfMtadlj9qdEcXIdtEqe5uZAM3oLmlXeGkUv4UaWm4KZcPSr7ZSuvy5PJk1Skp9uOJ46FEbm+'\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "  0%|          | 0/768 [00:00<?, ?it/s]/usr/lib/python3.10/site-packages/pwnlib/tubes/tube.py:1407: BytesWarning: Text is not bytes; assuming ASCII, no guarantees. See https://docs.pwntools.com/#bytes\n",
      "  return packing._decode(func(self, *a, **kw))\n",
      "100%|██████████| 768/768 [05:06<00:00,  2.51it/s]\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAP8AAAD4CAYAAAAjDTByAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8qNh9FAAAACXBIWXMAAAsTAAALEwEAmpwYAAAOCUlEQVR4nO3df6zd9V3H8edbWjKhtYC4ldJGYCEkuKiQG8I2g43IwpDQmfgHxGl1S5olomBcti4krn86p/PnsqUOFJVAsg0cWcDR4JrFRMhKLb9WGD9EKC0UXVKGy0Lr3v5xvrjD2bntud8fH869n+cjae455/s59/u+n3Ne/Z5z7vdz35GZSKrPj73VBUh6axh+qVKGX6qU4ZcqZfilSq0qubNYty5Zv37J91tzcOn7em3D0u9Tel8ltfm5umgzJ21rdP5/6Pvff4mjR4/ELGOLhp/162HnziXfbWHH0ne1u8V9Su+rpDY/Vxdt5qRtjc7/D+3Zs23msb7slypl+KVKdQp/RFwZEU9GxNMRsb2voiQNr3X4I+Ik4LPA+4ELgesi4sK+CpM0rC5H/kuApzPz2cx8HbgD2NJPWZKG1iX8ZwMvjF0/0Nz2JhGxLSL2RMQejhzpsDtJfeoS/mm/S/yRJYKZuTMzFzJzgXXrOuxOUp+6hP8AsGns+kag8KkkktrqEv5vAudHxLkRcTJwLXB3P2VJGlrrM/wy81hEXA98DTgJuCUzH++tMkmD6nR6b2beA9zTUy2SCvIMP6lSZRf2FLR5R7v7lVwkUrLGtj9X2xpXqpU0Hx75pUoZfqlShl+qlOGXKmX4pUoZfqlShl+qlOGXKmX4pUoZfqlShl+qlOGXKlV0Yc+ag+U64pRcgLGSFntMWg7dcFbq/Lea+9kb9njkl2pl+KVKGX6pUl069myKiK9HxP6IeDwibuizMEnD6vKB3zHgDzJzb0SsBR6KiF2Z+a2eapM0oNZH/sw8lJl7m8vfBfYzpWOPpPnUy3v+iDgHuAh4cMq2/2/XdfSo7bqkedE5/BGxBvgycGNmvjq5fbxd1+rVtuuS5kWn8EfEakbBvy0z7+ynJEkldPm0P4Cbgf2Z+Zn+SpJUQpcj/3uB3wB+KSL2Nf+u6qkuSQPr0qvvX5neplvSMuAZflKliq7qe21DuRV6y2E1WskWWsuhXVfrx2zz5h6rOIHdu4vtqs3c7zk4+1iP/FKlDL9UKcMvVcrwS5Uy/FKlDL9UKcMvVcrwS5Uy/FKlDL9UKcMvVcrwS5WyXVcP+2qrZI0rej5aLLZpva+2i4gKLgialUd+qVKGX6qU4Zcq1cef7j4pIv49Ir7aR0GSyujjyH8Do249kpaRrn+3fyPwK8AX+ilHUildj/x/DnwM+EH3UiSV1KVpx9XA4cx86ATj7NUnzaGuTTuuiYjngDsYNe/4x8lB9uqT5lOXFt2fyMyNmXkOcC3wL5n5wd4qkzQof88vVaqXc/szczewu4/vJakMj/xSpYqu6murZMuoldoKq7SV/LOV0up5tW32oR75pUoZfqlShl+qlOGXKmX4pUoZfqlShl+qlOGXKmX4pUoZfqlShl+qlOGXKmX4pUoti1V9K1XJ1YAreuVhi/55u9vuaw577rXlkV+qlOGXKmX4pUp17dhzWkR8KSKeiIj9EfHuvgqTNKyuH/j9BfDPmflrEXEycEoPNUkqoHX4I+IngMuA3wLIzNeB1/spS9LQurzsPw94BfjbpkX3FyLi1MlBtuuS5lOX8K8CLgY+l5kXAf8DbJ8cZLsuaT51Cf8B4EBmPthc/xKj/wwkLQNdevW9BLwQERc0N10OfKuXqiQNruun/b8L3NZ80v8s8NvdS5JUQqfwZ+Y+YKGfUiSVtGIX9rRdyFJS20Uzy+FnK2nz5t3F9rW7xSIiaFfj0I+zp/dKlTL8UqUMv1Qpwy9VyvBLlTL8UqUMv1Qpwy9VyvBLlTL8UqUMv1Qpwy9VyvBLlVqxq/pKtplaDqvsSq8gnPf5L92GrFSNew7OPtYjv1Qpwy9VyvBLleraruv3I+LxiHgsIm6PiLf1VZikYbUOf0ScDfwesJCZ7wJOAq7tqzBJw+r6sn8V8OMRsYpRn74lfNYo6a3U5e/2vwj8CfA8cAg4kpn3TY6zXZc0n7q87D8d2AKcC2wATo2ID06Os12XNJ+6vOz/ZeA/MvOVzDwK3Am8p5+yJA2tS/ifBy6NiFMiIhi169rfT1mShtblPf+DjJpz7gUebb7Xzp7qkjSwru26Pgl8sqdaJBXkGX5SpSIzi+1s7doLcmFhvt8ZLIcVeprQsn9eu13tLravVs/FbdvIJ5+MWYZ65JcqZfilShl+qVKGX6qU4ZcqZfilShl+qVKGX6qU4ZcqZfilShl+qVKGX6pU0XZdr22Y/4Uzpds4lVK67VbJx3nuF9vMKY/8UqUMv1Qpwy9V6oThj4hbIuJwRDw2dtsZEbErIp5qvp4+bJmS+jbLkf/vgCsnbtsO3J+Z5wP3N9clLSMnDH9mfgP4zsTNW4Bbm8u3Ah/otyxJQ2v7nv8dmXkIoPn69sUGjrfr4ojtuqR5MfgHfuPtulhnuy5pXrQN/8sRcRZA8/VwfyVJKqFt+O8GtjaXtwJf6accSaXM8qu+24F/Ay6IiAMR8WHgj4ArIuIp4IrmuqRl5ITn9mfmdYtsurznWiQV5Bl+UqWKrupbcxAWdiz9fm1WUi2H1WgrWcnVkSWfH2212d/Qz0WP/FKlDL9UKcMvVcrwS5Uy/FKlDL9UKcMvVcrwS5Uy/FKlDL9UKcMvVcrwS5UqurCnrXlcFNGHkouPSi9kWQ7z38ZKaufmkV+qlOGXKmX4pUq1bdf16Yh4IiIeiYi7IuK0QauU1Lu27bp2Ae/KzJ8Fvg18oue6JA2sVbuuzLwvM481Vx8ANg5Qm6QB9fGe/0PAvYttHG/XdfSo7bqkedEp/BFxE3AMuG2xMePtulavtl2XNC9an+QTEVuBq4HLMzP7K0lSCa3CHxFXAh8HfjEzv9dvSZJKaNuu66+BtcCuiNgXEZ8fuE5JPWvbruvmAWqRVJBn+EmVKrqq77UN87/aayWt2hrXdt7bzsdKXYlZch7b3GfPwdnHeuSXKmX4pUoZfqlShl+qlOGXKmX4pUoZfqlShl+qlOGXKmX4pUoZfqlShl+qlOGXKlV0Vd+ag7CwY+n3m/fVXqXrK7nysPRqwFL7Kv2YFdvfttmHeuSXKmX4pUq1atc1tu2jEZERceYw5UkaStt2XUTEJuAK4Pmea5JUQKt2XY0/Az4G+Df7pWWo1Xv+iLgGeDEzH55hrO26pDm05F/1RcQpwE3A+2YZn5k7gZ0Aa9de4KsEaU60OfK/EzgXeDginmPUoXdvRKzvszBJw1rykT8zHwXe/sb15j+Ahcz8rx7rkjSwtu26JC1zbdt1jW8/p7dqJBXjGX5SpYou7Gmr5MKNeV9E1FbpBTpt9ldyX23N+3zYrkvSCRl+qVKGX6qU4ZcqZfilShl+qVKGX6qU4ZcqZfilShl+qVKGX6qU4ZcqZfilSkVmuT+rFxGvAP+5yOYzgXn4a0DW8WbW8WbzXsdPZ+ZPzfINiob/eCJiT2YuWId1WEeZOnzZL1XK8EuVmqfw73yrC2hYx5tZx5utmDrm5j2/pLLm6cgvqSDDL1WqaPgj4sqIeDIino6I7VO2R0T8ZbP9kYi4eIAaNkXE1yNif0Q8HhE3TBmzOSKORMS+5t8f9l3H2L6ei4hHm/3smbJ90DmJiAvGfs59EfFqRNw4MWaw+YiIWyLicEQ8NnbbGRGxKyKear6evsh9j/t86qGOT0fEE8283xURpy1y3+M+hj3UsSMiXhyb/6sWue/S5iMzi/wDTgKeAc4DTgYeBi6cGHMVcC8QwKXAgwPUcRZwcXN5LfDtKXVsBr5aaF6eA848zvbB52TiMXqJ0YkiReYDuAy4GHhs7LY/BrY3l7cDn2rzfOqhjvcBq5rLn5pWxyyPYQ917AA+OsNjt6T5KHnkvwR4OjOfzczXgTuALRNjtgB/nyMPAKdFxFl9FpGZhzJzb3P5u8B+4Ow+99GzwedkzOXAM5m52FmYvcvMbwDfmbh5C3Brc/lW4ANT7jrL86lTHZl5X2Yea64+wKgp7aAWmY9ZLHk+Sob/bOCFsesH+NHQzTKmNxFxDnAR8OCUze+OiIcj4t6I+JmhagASuC8iHoqIbVO2l5yTa4HbF9lWaj4A3pGZh2D0nzVjjWHHFH2uAB9i9ApsmhM9hn24vnn7ccsib4OWPB8lwx9Tbpv8PeMsY3oREWuALwM3ZuarE5v3Mnrp+3PAXwH/NEQNjfdm5sXA+4HfiYjLJkudcp/e5yQiTgauAb44ZXPJ+ZhVyefKTcAx4LZFhpzoMezqc8A7gZ8HDgF/Oq3MKbcddz5Khv8AsGns+kZgsrnQLGM6i4jVjIJ/W2beObk9M1/NzNeay/cAqyPizL7raL7/webrYeAuRi/fxhWZE0ZP3L2Z+fKUGovNR+PlN97aNF8PTxlT6rmyFbga+PVs3lxPmuEx7CQzX87M/83MHwB/s8j3X/J8lAz/N4HzI+Lc5ihzLXD3xJi7gd9sPuG+FDjyxsu/vkREADcD+zPzM4uMWd+MIyIuYTRP/91nHc33PjUi1r5xmdEHTI9NDBt8ThrXschL/lLzMeZuYGtzeSvwlSljZnk+dRIRVwIfB67JzO8tMmaWx7BrHeOf8fzqIt9/6fPRxyeUS/gk8ypGn64/A9zU3PYR4CPN5QA+22x/FFgYoIZfYPRy6BFgX/Pvqok6rgceZ/SJ6QPAewaaj/OafTzc7O+tmpNTGIV53dhtReaD0X84h4CjjI5eHwZ+ErgfeKr5ekYzdgNwz/GeTz3X8TSj99FvPE8+P1nHYo9hz3X8Q/PYP8Io0Gf1MR+e3itVyjP8pEoZfqlShl+qlOGXKmX4pUoZfqlShl+q1P8B2qdYAme+SfYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAP8AAAD4CAYAAAAjDTByAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8qNh9FAAAACXBIWXMAAAsTAAALEwEAmpwYAAAOUElEQVR4nO3db4xc1X3G8e9T29DCbg2UJhBsFYjAEo3aYq0QSSq6KiVyXIRTqS+MmtZtIq0ilRaqRokjpMYvm6ZN/0aJtoGWNhZITaCxImixaFZRpWJlcW2wYzCGUjAYTBvJ2M0LcPPri7lWx5MZ7+y55x7v7nk+0mpn5t6797dn5tk7M3vP/BQRmFl9fuR8F2Bm54fDb1Yph9+sUg6/WaUcfrNKrS65M61VcMXit5s4PJG/mBFOXX+q2L5WspL3WYrS93PKeCTV+DrEidA4qxYNP1cAs4vfbGp6Knspo8zNzhXb10pW8j5LUfp+ThmPpBpnxl/VT/vNKuXwm1WqVfglbZL0nKQjkrbnKsrMupccfkmrgC8CHwZuAO6UdEOuwsysW22O/DcBRyLixYh4G3gI2JKnLDPrWpvwXwW80nf9aHPbWSTNSJqXNM+JFnszs6zahH/Y/xJ/aIpgRMxGxFRETLG2xd7MLKs24T8KrO+7vg54rV05ZlZKm/B/B7hO0jWSLgC2ArvylGVmXUs+wy8iTku6C/hnYBVwf0QczFaZmXWq1em9EfEo8GimWsysIJ/hZ1YplfwMv0lNxhRlJnzMzc0lbTc9PZ21jnNJrTFFyd8rVcnxSLXUx3GeeU7GybFm9fnIb1Yph9+sUg6/WaUcfrNKOfxmlXL4zSrl8JtVyuE3q5TDb1Yph9+sUg6/WaUcfrNKFe3Yc+r6U0ldSJb6ZIrlYDlMmkmV8vgoPR7F9ueOPWa2EIffrFIOv1ml2nTsWS/pW5IOSToo6e6chZlZt9q84Xca+P2I2CtpEnhK0u6I+G6m2sysQ8lH/og4FhF7m8sngUMM6dhjZktTltf8kq4GbgT2DFnmdl1mS1Dr8EuaAL4O3BMRbw0ud7sus6WpVfglraEX/J0R8XCeksyshDbv9gu4DzgUEV/IV5KZldDmyP9B4NeBX5S0r/nanKkuM+tYm159/8rwNt1mtgz4DD+zShWd1TdxeIKp6cW360qZEZU6E3A5zH4rOYstbSuYTtlmBd9nKVLGY575sdf1kd+sUg6/WaUcfrNKOfxmlXL4zSrl8JtVyuE3q5TDb1Yph9+sUg6/WaUcfrNKOfxmlVJElNvZBgWzi9+u5ESWldoabEfhyS/TKdus0LFPlfQYnoF4Lsaaau8jv1mlHH6zSjn8ZpXK8dHdqyT9u6Rv5ijIzMrIceS/m163HjNbRtp+bv864JeBr+Qpx8xKaXvk/zPgU8AP2pdiZiW1adpxO3A8Ip5aYD336jNbgto27bhD0kvAQ/Sad3x1cCX36jNbmtq06P5MRKyLiKuBrcC/RMRHs1VmZp3y//nNKpWlaUdEzJHe38HMzgMf+c0qVbRdV6qV2o6pdAutkjxD72ylWs65XZeZLcjhN6uUw29WKYffrFIOv1mlHH6zSjn8ZpVy+M0q5fCbVcrhN6uUw29WKYffrFIOv1mlivbqm9RkTDFVZF/LYSbgXMF97UicZZfa4y9lfyX7K67UXo7zzHMyTrpXn5mN5vCbVcrhN6tU2449l0j6mqRnJR2S9P5chZlZt9p+jNefA/8UEb8q6QLgogw1mVkByeGX9OPALcBvAkTE28Dbecoys661edp/LfAm8DdNi+6vSLp4cKX+dl3v8E6L3ZlZTm3CvxrYCHwpIm4E/gfYPrhSf7uuNaxpsTszy6lN+I8CRyNiT3P9a/T+GJjZMtCmV9/rwCuSNjQ33Qp8N0tVZta5tu/2/w6ws3mn/0Xgt9qXZGYltAp/ROyDQifrm1lWbtc1IGXiRurkl1TThbZZLko+Ppb85KOZ8Vf16b1mlXL4zSrl8JtVyuE3q5TDb1Yph9+sUg6/WaUcfrNKOfxmlXL4zSrl8JtVyuE3q5TDb1apou26tEHBbJl9pbZVKj1Dz/7fdMl9JT4+lnqbL7frMrMFOfxmlXL4zSrVtl3X70k6KOmApAcl/WiuwsysW8nhl3QV8LvAVES8D1gFbM1VmJl1q+3T/tXAj0laTa9P32vtSzKzEtp8bv+rwB8DLwPHgBMR8fjgev3tujiRXqiZ5dXmaf+lwBbgGuA9wMWSPjq4Xn+7LtamF2pmebV52v9LwH9ExJsR8Q7wMPCBPGWZWdfahP9l4GZJF0kSvXZdh/KUZWZda/Oafw+95px7gWean1Xo5F0za6ttu67PAp/NVIuZFeQz/MwqVbRX38ThCaamF9/Xs2ivvpRtCs8QK2kucbsdCWOy+C16lsU4JtTY9UxAH/nNKuXwm1XK4TerlMNvVimH36xSDr9ZpRx+s0o5/GaVcvjNKuXwm1XK4TerlMNvVqmiE3tKKtlWaam3cGplGUyaKTmOy+I+G5OP/GaVcvjNKuXwm1VqwfBLul/ScUkH+m67TNJuSc833y/ttkwzy22cI//fApsGbtsOPBER1wFPNNfNbBlZMPwR8W3gewM3bwEeaC4/AHwkb1lm1rXUf/W9OyKOAUTEMUnvGrWipBlgBuBCLkzcnZnl1vkbfv3tutawpuvdmdmYUsP/hqQrAZrvx/OVZGYlpIZ/F7CtubwN+EaecsyslHH+1fcg8G/ABklHJX0c+EPgNknPA7c1181sGVnwDb+IuHPEolsz12JmBfkMP7NKFZ3Vd+r6U8zNzi16u5U0k+p8WaktrVIthxZrbtdlZp1w+M0q5fCbVcrhN6uUw29WKYffrFIOv1mlHH6zSjn8ZpVy+M0q5fCbVcrhN6uU23UNSJlMsRwmHqXWuCNxfytpAkwOxdrAzYy/qo/8ZpVy+M0q5fCbVSq1XdfnJT0r6WlJj0i6pNMqzSy71HZdu4H3RcTPAIeBz2Suy8w6ltSuKyIej4jTzdUngXUd1GZmHcrxmv9jwGOjFkqakTQvaZ4TGfZmZlm0Cr+ke4HTwM5R6/S362Jtm72ZWU7JJ/lI2gbcDtwaEZGvJDMrISn8kjYBnwZ+ISK+n7ckMyshtV3XXwGTwG5J+yR9ueM6zSyz1HZd93VQi5kV5DP8zCq1Ymf1rWTLofVWsVlsLbZLUXIGYcq+5pkfe10f+c0q5fCbVcrhN6uUw29WKYffrFIOv1mlHH6zSjn8ZpVy+M0q5fCbVcrhN6uUw29WKYffrFJFZ/VNHJ5ganqq5C4XLWWGWOpMr5L9BJeDkr9X6ZmRJR9X4/KR36xSDr9ZpZLadfUt+6SkkHR5N+WZWVdS23UhaT1wG/By5prMrICkdl2NPwU+Bfgz+82WodTP7b8DeDUi9ktaaN0ZYAbgQi5M2Z2ZdWDR4Zd0EXAv8KFx1o+IWWAWYFKTfpZgtkSkvNv/XuAaYL+kl+h16N0r6YqchZlZtxZ95I+IZ4B3nbne/AGYioj/yliXmXUstV2XmS1zqe26+pdfna0aMyvGZ/iZVaroxJ5T159ibnZu0dulTHBYqZNfSluprcFSraTJWD7ym1XK4TerlMNvVimH36xSDr9ZpRx+s0o5/GaVcvjNKuXwm1XK4TerlMNvVimH36xSDr9ZpRRR7mP1JL0J/OeIxZcDS+HTgFzH2VzH2ZZ6HT8VET85zg8oGv5zkTQfEee9kZ/rcB211OGn/WaVcvjNKrWUwj97vgtouI6zuY6zrZg6lsxrfjMraykd+c2sIIffrFJFwy9pk6TnJB2RtH3Ickn6i2b505I2dlDDeknfknRI0kFJdw9ZZ1rSCUn7mq8/yF1H375ekvRMs5/5Ics7HRNJG/p+z32S3pJ0z8A6nY2HpPslHZd0oO+2yyTtlvR88/3SEdue8/GUoY7PS3q2GfdHJF0yYttz3ocZ6tgh6dW+8d88YtvFjUdEFPkCVgEvANcCFwD7gRsG1tkMPAYIuBnY00EdVwIbm8uTwOEhdUwD3yw0Li8Bl59jeedjMnAfvU7vRJEi4wHcAmwEDvTd9kfA9ubyduBzKY+nDHV8CFjdXP7csDrGuQ8z1LED+OQY992ixqPkkf8m4EhEvBgRbwMPAVsG1tkC/F30PAlcIunKnEVExLGI2NtcPgkcAq7KuY/MOh+TPrcCL0TEqLMws4uIbwPfG7h5C/BAc/kB4CNDNh3n8dSqjoh4PCJON1efpNeUtlMjxmMcix6PkuG/Cnil7/pRfjh046yTjaSrgRuBPUMWv1/SfkmPSfrprmoAAnhc0lOSZoYsLzkmW4EHRywrNR4A746IY9D7Y01fY9g+RR8rwMfoPQMbZqH7MIe7mpcf9494GbTo8SgZfg25bfD/jOOsk4WkCeDrwD0R8dbA4r30nvr+LPCXwD92UUPjgxGxEfgw8NuSbhksdcg22cdE0gXAHcA/DFlccjzGVfKxci9wGtg5YpWF7sO2vgS8F/g54BjwJ8PKHHLbOcejZPiPAuv7rq8DXktYpzVJa+gFf2dEPDy4PCLeiohTzeVHgTWSLs9dR/PzX2u+Hwceoff0rV+RMaH3wN0bEW8MqbHYeDTeOPPSpvl+fMg6pR4r24DbgV+L5sX1oDHuw1Yi4o2I+N+I+AHw1yN+/qLHo2T4vwNcJ+ma5iizFdg1sM4u4Dead7hvBk6cefqXiyQB9wGHIuILI9a5olkPSTfRG6f/zllH87MvljR55jK9N5gODKzW+Zg07mTEU/5S49FnF7CtubwN+MaQdcZ5PLUiaRPwaeCOiPj+iHXGuQ/b1tH/Hs+vjPj5ix+PHO9QLuKdzM303l1/Abi3ue0TwCeaywK+2Cx/BpjqoIafp/d06GlgX/O1eaCOu4CD9N4xfRL4QEfjcW2zj/3N/s7XmFxEL8xr+24rMh70/uAcA96hd/T6OPATwBPA8833y5p13wM8eq7HU+Y6jtB7HX3mcfLlwTpG3YeZ6/j75r5/ml6gr8wxHj6916xSPsPPrFIOv1mlHH6zSjn8ZpVy+M0q5fCbVcrhN6vU/wGJ8H8f4Ue5XgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim = PwnSimulator(local=False)\n",
    "res = sim.run(steps=4)\n",
    "show(res)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "360cca4a",
   "metadata": {
    "collapsed": false,
    "jupyter": {
     "outputs_hidden": false
    },
    "pycharm": {
     "name": "#%%\n"
    }
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}