synthetic.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "5a88ef49",
   "metadata": {},
   "source": [
    "# Particle Guidance synthetic experiments\n",
    "\n",
    "We thank Bowen Jing for providing some of the code for the diffusion and distribution plotting.\n",
    "\n",
    "## Definition of distribution and its score"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "ab3c47fa",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import random"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "3bc8c646",
   "metadata": {},
   "outputs": [],
   "source": [
    "N = 10\n",
    "thetas = np.arange(N) * 2 * np.pi / N\n",
    "cx = np.cos(thetas)\n",
    "cy = np.sin(thetas)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "c9cd1c1a",
   "metadata": {},
   "outputs": [],
   "source": [
    "sigma2 = 0.005\n",
    "def sample():\n",
    "    i = random.randint(0, N-1)\n",
    "    s = np.random.multivariate_normal((cx[i], cy[i]), cov=[[sigma2, 0], [0, sigma2]])\n",
    "    return s"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "771c821a",
   "metadata": {},
   "outputs": [],
   "source": [
    "samples = np.asarray([sample() for _ in range(100000)])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "42b71915",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sns.kdeplot(x=samples[:, 0], y=samples[:, 1], cmap=\"Reds\", shade=True, bw_adjust=.5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "b4ed98be",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.07365016, -0.60970014])"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import torch\n",
    "\n",
    "def gmm(centers, X, Y, var):\n",
    "    ims = [\n",
    "        np.exp(-((X - x) ** 2 + (Y - y) ** 2) / var) / np.sqrt(var) for x, y in centers\n",
    "    ]\n",
    "    return sum(ims)\n",
    "\n",
    "\n",
    "def score(centers, X, Y, var):\n",
    "    weights = np.asarray([np.exp(-((X - x) ** 2 + (Y - y) ** 2) / (2 * var)) for x, y in centers])\n",
    "    weights = np.array(weights) / np.sum(weights, axis=0, keepdims=True)\n",
    "    scores = np.asarray([[X - x, Y - y] for x, y in centers])\n",
    "    return -np.sum(np.expand_dims(weights, axis=1) * scores, axis=0) / var\n",
    "\n",
    "\n",
    "score([(x,y) for x,y in zip(cx,cy)], 0.1, 1, 0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "70daa514",
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "def figure_func(i, l_samples, save_name=None):\n",
    "    samples = l_samples[i]\n",
    "    tmp_sigma2 = sigma2 + (t_schedule[-1-i] if i<len(t_schedule) else 0)\n",
    "\n",
    "    fig, ax = plt.subplots(1, figsize=(3, 3), dpi=150)\n",
    "    x = np.linspace(-1.5, 1.5, 100)\n",
    "    y = np.linspace(-1.5, 1.5, 100)\n",
    "\n",
    "    x, y = np.meshgrid(x, y)\n",
    "    im = gmm(centers, x, y, tmp_sigma2)\n",
    "    ax.imshow(im, vmin=0, cmap='Reds', extent=[-1.5, 1.5, 1.5, -1.5])\n",
    "    ax.set_xticks([])\n",
    "    ax.set_yticks([])\n",
    "    \n",
    "    ax.scatter(samples[:, 0], samples[:,1], c=\"blue\", marker='X', s=40, edgecolors=\"white\", linewidths=0.5 )\n",
    "    \n",
    "    ax.set_xlim(-1.5, 1.5)\n",
    "    ax.set_ylim(-1.5, 1.5)\n",
    "    \n",
    "    if save_name is not None:\n",
    "        plt.savefig(save_name)\n",
    "    return fig"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a6900e8a",
   "metadata": {},
   "source": [
    "## Euclidean kernel particle guidance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 153,
   "id": "297dcbc5",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXkAAAF5CAYAAAB6A1o9AAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjUuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/YYfK9AAAACXBIWXMAABcSAAAXEgFnn9JSAAAohElEQVR4nO3de5Qc5X3m8af6PqOeGXRv3RBIgDDCEhfjkbgZsiB7197Y2OFknRO0wknOCsexN5sNRzj2Zp3YMCdXG1+Y7LKGCAfbcWwH7CSbIdkILEBtMCAZjIUtGXRBrbs005rp6VvtHyN1vW91j5iR5tJ65/s5R4e3+62uqWmqnqn61VtVnu/7AgC4KTLZCwAAGD+EPAA4jJAHAIcR8gDgMEIeABxGyAOAwwh5AHAYIQ8ADiPkAcBhhDwAOIyQBwCHEfIA4DBCHgAcFhuPmXqel5PUKmn3eMwfAKaQRZL6fd/PnMmHvfG41bDneb3JRKJt6dIlYz5vAJhKduzYqcFisc/3/fYz+fy47MlL2r106ZLLXnl+yzjNHgCmhuXvWKWfvPrTM66KUJMHAIcR8gDgMEIeABxGyAOAwwh5AHAYIQ8ADiPkAcBhhDwAOIyQBwCHEfIA4DBCHgAcRsgDgMMIeQBwGCEPAA4j5AHAYYQ8ADiMkAcAhxHyAOAwQh4AHEbIA4DDCHkAcBghDwAOI+QBwGGEPAA4jJAHAIcR8gDgMEIeABxGyAOAwwh5AHAYIQ8ADiPkAcBhhDwAOIyQBwCHEfIA4DBCHgAcRsgDgMMIeQBwGCEPAA4j5AHAYYQ8ADiMkAcAhxHyAOCw2GQvANziV6vmq1Bn6PUpnhd6HTG6Qn3nGN/8nf1quLPxh+p+5+C1F2G/DKPDGgMADiPkAcBhhDwAOIyaPEbttHXmcsloF+2+SjloG3V3xUKrYSwRzD5i9zV7Tdo+JyGpavzO4e+jbPSZ32P0NN9HLG73OXT+AuOjubcYAMBZIeQBwGGUazB6ZmmhWLD7BvqCyQ7ttT/WeyR4YZRovFkLrOm89lnBi9Q0ex5eULpolvKEVb6qlOzOwolgut5D9ufM78co3XjtM6zpvFkLpHhSfrxFXvj7TqTkR5Py/LKARtiTB5pdPKlC+nwdLs1WKdZudZW8Fh3ua1XBa7fPcwAnsVYAzawlrUL6fK2/y9OKlRHljrXWgr4Ua1fucEorVnpav14aUJqgRx3KNRgRuyRhlAYKeWu66s4fB5/54ZP2PHbsqLW91tagY+WV9g+76sZgujnn232RaNAOj0KZLNVK0C4OWF3+oT1B+4Wn7L6tLwbt/v5a21u6dKgxe4FKH/ivWn+Xp40bh0pTnZ0RZbe0KjMrptyhhDpXecrldLLfV3d3WikvLy886glTFn/2gWY1f6ny/VH19ATnHnI5qXNVRF//u6Q6V0WUywWT9/R4yvdJvhdtMDNMVYQ80Ky2PqW2nT9Q9tmyMpng7VxOWrfOswI+k5GyWV8d6UF5lWL9vDBlEfJAE4s9+13N9XfWBb3pVMBnZg0q7hcaT4Qpq0mKmmh6wwwT9I/bwwK1LVtrHvnmv1pdz+04WmufFwtKClfnjljTxc+bWWt7HbPt+Sdagp9t1OcnejildY7CrMkPhmryO1+ptUv/bH8fP3ritVr7WDmYxzVLX7emm5lKKfOBT6jr3nla95H6UkxXl695s0uKVYyf3STDSzH52JMHmlz5mvcpNzhHGz7ZuNa+YYOnfQdjKnktDfsxtRHyQBNLfPRu7Z+1Wp3XJawavCmXGxp1kzucJOhRh3INRqhxecIfsIdQ+m++WWtvf6PX6vvHI8HVn+englXvou12es06YpSAwleQDvegjcl0uitejd/leOj33NwbDJvcVQiGpbafLGVl7lyn9ls+rM5rEnUnWbvuq2rDPcHomqGg97Rta1Iz2ypcAYsa9uSBJtX3wx9qWqqkNbcGY94zGSm7paIP35ZXdkvFOhm7Zo2vdJsIeFgIeaBJnXjlJ3rtP/2Kur84qLV3VGsBPze6W9EdWzQ3ulvZ7ND7a9f66u6WUn6vfSIYUx7lGqCJnfjxy4p/7bPq/uKnlO+Pqb2yV7EDQ6NyYgdeU2bpDG3b2qZ02lfK7yPgUYeQx+iZD6pIJK0uf/r0Wnv+DPskYGdhsNaebgyhnDbPvumW0m1BOxIaUdKMQwPNZQovr/G7hH/Py3YGQ0fnJYLPhb83DRxX/O8/r+nzlyoyb65kfOfxcq9mtlTkFYtS+IEigCjXAOeGg3ulrU817PKKJ+pP+AInEfIA4DDKNRghoyQRDcoC4StSvbdfVWsvvs2+knXuyzuDWaRTtXZ81VXWdLpgWdBOttp9zXgrXXOZwstr/C6pW661um4xvoNKPrgdQeryJfbsje+07grgqFmiacJSFiZdE24xAICxQsgDgMMo12BEvEiwP+CbD+totUeMeMveEbxom271tawyLttMBiNEvLmL7XmYDwpJhEaaTOJNyUzmzzZvlBZe3si8pcF0N77X6kssuzx4MRiMPNIs+3aT3vxgHuHv23xwivn/CDiFtQIAHEbIA4DDCHkAcBg1eYzeaWrQXvusoN3SZvVpsfFYOnPYYTxhTxcPhhaGr+Jsxrqzdb4ifNWpUUP3Flxkf84892A+eDsW/j6SjdtS/RW2QEjzbTEAgDFDyAOAwyjXYNSGHT4o2eWbcNlBwzzwI3wVq3kDtCYsz5yOF/o+/Jh5pXBoc0tW1VhoaKg5z9Cw0ckcRopzw7m1BQEARoWQBwCHEfIA4DBq8jgrdTVh6wEa9j6EP8xDuF2uK9vnFPg+MPHYkwcAhxHyzciLqBoNj0wZUo0mmvOe6gCaEuWaCWIdmocP082rHSNRFby08seljmlS3B+odZW8Vh0/nlS6TUp5eeuhzefCIf65sIwT6Vz+PupKTdbr06zrprqhs57RPHe/m2bDLmEziURViHRo/XppxUpPucMplbyhceclr0W5w0mtWOlp/XqpoDSXtAN4S4R8szACfuNGT7mc1Nl5Muhj7codTg29zg31E/QARoJyzTjyq0YZxiitqFy0JyyX5KfSyp+QenqCw9RTQd/VFdWGDUMBf0pPj6d8n69kmyevWrGuPOVQF+PBKtGY67MkVUpB21y/K6HpzBJN+GZuxhXS1vp8jl313Gz49pqEV8irI9Gr7JaqMsaDgXI5ad06O+AzGSmb9dUxrSCvPFg/MwA4iZBvIvHiMWU6+uqC3nQq4DMzC4pX+yd2AQGccwj5JhMfPKLM7JK6uhqPSujq8jVvTomABzAi1OTHUN2wsmo5aBeCUPb7DtufO7in1i7PWab9A0M1+EY2bPB0800xZaYnFC/3Bh3m3R89TsZiHJhDfUsFu+/E8WCyQ3uDdt9Re7pE8EAYb/ZCq8trmxm8SLUG8/BCD47hnNOosCffRMrzLtP+yFJ1ro5ZNXhTLid1roood2yaSrH2xhMBwEmEfLOYc4F6UxfWBXwmIz38UP3J2M7OiI4X0vIT0yZ+WQGcMyjXjCU/9BCIYnBI6x/ZF7Rf+oH9sReek+YtVvrOP9KaW5Pa+MjQ395MRso+XVQmtk83Pz1Pndclan8A1qzxlU5X5fUdkUqDUiT4X2k9qEIMQcOZsYYAS1LZGCbZ32t1VX/2QvC5bLB++6+/YU3ndRhHn1ddY8//ihuC6WYtCN5PhcqPlCNHha2/Wex7Q/G//p/qvr+gtXcM7blnNw9q7pubFPmbezXnzSeVfbasTEZau9ZX9wNVpfp2DQU8AAyDPflmsvcXin3pbnXf/yfKD8TU9uL3Fd3aI0mK/eDvNPf2Bdr20jKlp1WV6ttTf/ILAEII+Waz++eKffG/67yly6UnvyddsLjWFdv1gmbMz0tvHJTmL5nEhQTGQbJVfqpN3vH9dV1+NCnPL9dfaYu3RMifpdNe6m3W5HdvDyb7t3+1JvvRY6/U2gdLJUkvSfqOJGnlwl/U+ubHYtKPnh2a37tvt+bhpdLBi/Dl4sAZCQ0JNm5X4B+xg9g/uV5K0pvf2FRrb91z3JpudjxYN68+btT1F12k8vvepvyJiNqjJ5Qwtp1SaqaO97Uo3eYrpePWNsdwyrdGTR7A5Fp0kcof+xOt/+2YVlwR1f74pSq1zJIklVpmKXek5eTdVz0Voh3clG+UCHkAk2fhkqGA/3gquPvq6phyvR0qdSxSrrcjdPdVj7uvjhLlmrEUvuLVvDPf0eAq1/7t9pVOP+wLrob9Sb99h8qkcde++W++Gfyo0BA2zxzudroHNQAjVXcFd7COhdc/GevmT/f21dr/cOSENdllrcGdJt+2Paf4pe9S/kRMPU8E6/mpC/66upLD3321PSpP1OdHgj15AJOm9Ng31fJv31D2qcLI776aHpRXKdbPDA0R8gAmVfXBv9D07N8q+0zpre++OqNfcZ+hw6NBuWYshc/0R42vN91WayYXTLcmu/TlA7V2e9T+u7ugPRm8mDEj+FHJFms6RYyfzYgDjIXwemSsY+H1zzfWTXOdXVUsWdPNTwSja6zt4J8eUuY9/15d983Uujvr9z2H7r5aVqzYL0UZPTYa7MkDmHT+7Xcpl5+uDfc0jqQNGzztOxBTKcK9mkaLkAcwqfzb79LBy3/5re++2ukpd6RFJS/VeCI0RMgDmDSRWz6g/Ds/oM4bUvV3X33Yb3D3VU/H80n50UT9zNAQNfmzZF5x53uhv5nxoDbpLbw4ePtd11qTvSsRjPktHc5bfalli4J5rHxH0J4ROkNl1SmpyWMshM8xBetYeP0z181lHwqGVy7evtuaLj4zuDI7trpTao8qnfa1Zk1VGzcad1/NVpWZVdLNN8fV2Rmx777aJkX8CueeRog9eQCT5/A+JZ54UN1fLGnt2qE99+yWijIdfYqfyA098zjrB3df7ZZalK+/rTeGxZ48gMl1+M2hoP/Kf1E+H1FHZa/ixaELseLFY8rMSGjb1pTSbVKqepw9+FEi5MdSuFxjPHfVmxOUXXTtGmuy2IWXBO3CgD2P82YF81iwNHh/2nn2dDGjRslGgLEQXo/MdSy0/nmXrwpeTJ9da7YcO2TPI2VsE/MusLsG9imZTMkrlKREMOQ4roJmtvlDd6H0fdbvUSLkATSHclFeufGVrF6Fh+OcKWryAOAwQh4AHEa5ZgyFH5jtyxjW2BLUGL3MhfbnZhoPLQ4/eMQcGpkwbnEQS9rTGbde5UEKGAvh9cg3b++bsG9r4J03J2i3dgQdFfu2BtYtguOhse5x4yInc7gmD6I/K3x7AOAwQh4AHEa5ZhyZh5m+ZxyaRkNfe8K8sCP8wA/jkNk8bA0N16REg/FmXd0dXofNddMqJY5wfZasdZr1eeywJw8ADiPkAcBhlGsmiHX46dkPIa67sdlI5gFMorp10VinWZ+bC3vyAOAwQh4AHEbIA4DDqMk3AWqTcAnrc3NhTx4AHEbIA4DDCHkAcBghDwAOI+QBwGGEPAA4jJAHAIcR8gDgMEIeABxGyAOAwwh5AHAYIQ8ADiPkAcBhhDwAOIyQBwCHEfIA4DBCHgAcRsgDgMMIeQDnBi+iajTRsKsaTUgecdYI3wqA5udFNKC0Dh9PqaSk1VVUUoePpzSgNEHfAN8IgOZ2MuDXr5dWrPS071CyFvRFJZU7lNSKlZ7WrxdB3wDfBoDmZQT8xo2ecjmps/Nk0EenKXcoqc7Oofc3biToG+GbANC0qpGY8n1ST49Xe+9U0D/6jWgt4E/p6fGU7xv6HIYQ8iPg+37wr1od/p85ne9P9mID57xIpaiOaYPKZn1lMsH7uZy0bp0d8JmMlM366kgPyisPTvzCNilCHkBTi6ugzMz6oDedCvjMrEHF/cLELmCTI+RHKxKVH0027PKjCSkSneAFAtwXV0GZORV1dTU+Qu7q8jVvToWAb4CQPylcavEr5do/lQaH/lUrKnhpHe5rUakal4oDtX+lalyHe1tU0DSpWpFKg9Y8KOMAp3e67a9UjSt3IKoNG7yGn92wwdO+AxGVvJa33P6m2jZIyI9UNKZCbLrWr/e0YqWn3LFWlWLtkqRSrF25Y60nh3F5KsSmS1FO/ABjoRRNK3e0te4kq2noZGxEuUMJFWIz2P4MhPxIGAEfDOOKDAV9yyzljrUOva4N4zoZ9JRugLPix5I6PlAf8JmM9PDD9SdjOzs9HT0qFRNsf6dM6ZC3Dt8qJfvf4InaP79YHGYYV0Rf/9tYLeBPOTWMy69Wg/kY857Kh47AKXXbQYPtzyv0KZ2uas2aYDvJZKRNm6Tlyz1t2WIH/a23SvG4p89+1lPBa5fKxbrtL7wNum5Kh/xIef1H1RE9ouyWaoNhXJH6YVxbquqIHZE3mJ/4hQVcUikp1fuGuh/wtXatXwv4735XuuYa6fHHPT3zzND7d9wh/fmfS+9+t/Tgg57yeU9+rPEgiamEwtUIxfsPKJOWslumq3NVtGFt8FTAZ9qOKH7igNSSnvgFBVxTKijV+7q6H7hAfXnpm9/0dM89Q10f/7h04oSn556TksmhgN+37+SOVjLPjpbYkx+VeP8BZWYMqKur2rC/q8vXvFmDQwEPYOyUCkr1/kLTW07o/b9csY6o77lHuu++oVLNqYDPtB1RvHRs0ha3mUztPflqJWgXB6wu//C+oP3ai5Kk8sWrtb+U0IYNjf82btjg6eYb45o7WFLsZ8/Ku+TKWp83c14wYTL0eUYCYCoytz/J2gYbbX/S0F5p5qr3quve+Vr3keDE6le+MvTfhx+qKtN6WNGnvy1/uO1PsrdBx7c/9uRHqHzxau1PLlfndYnTD+O6Nqb9yeUqX7x6YhcQmALKF69WbnCuNnyy8ciZDfdElMtPZ/szEPIjsXi5eqdfrs5rY/XDuL5aqR/GdW1MvdMvl98xd+KXFXDUqHe0zjt/YhewSU2pkK8fslUO/g3krX/+ay/W/lUf/4bSyUGtuTWoxWcy0pYnB/ShK1/VlicHrKBfc2tV6eSgtP252jys+Zs/l6thMYUMu/2FtkFr+/uHx1TNV9Xb8bbGO1r/p9xwR+u45sgfLNZvf6Ft0PUhzVMq5M/Ynp2Kffludd9f0No7qrWAb930qA782m1q3fRoLejX3lFV9/0Fxb58t9R7eLKXHHDDjleUbik33tG66qeNd7RaK9LRYXb5pxBCfqR271Dsy3frgb/s19bnB9W66VH1fb5LktT3+S61bnpU214oBgG/e8ckLzDgkDPY0Uq8+Dg7Wprqo2tGa/cOHfmtX1PyyqvV9/WvWV19n+/SorZBaccr0p6dk7SAgMNqO1pdyhfi8v7B3tFqk7TthTuUbikP7WituHxyl7dJTK2QD9fbjCFcfn+f3ff6z2rN3U/9vNb+1i8OS/+0ueHsb//jv7ReL14ezMMazjXtvOGXy2t8lz3ACea6HhpCaW2Dw2x/0s/15OPbNH/VKr30vx605/2J39dH9u/R4Rd/pOJPX9Xi9uBqV3P7k0LbYDgXHNsGp1bIAzjnHdj2sg5se7lhX/gIG9TkAcBphDwAOIyQBwCHEfIA4LCpdeI1fNbceHKM19pmdfkXXFxrL7rxolr79tPM3pxOkmTMw5p/+Ik1jp3NB4Zlruuh7cDcRobb/qRRbIPDbX/hn+349seePAA4jJAHAIcR8gDgsClVk/dCtTfffFhA6FF95gM/zL+E5lWsdYwaYHge1vxDDykILxfgKnNd98MP6zC2keG2P2nk2+Cw259kbYOub3/syQOAwwh5AHDYlCrX1DGHUSVarC7zmZDeFcbQrtCNjqzPhIdpmYeI5vzDQyiBqSi8HRjbyHDbnzSKbXC47a/Rz3YYe/IA4DBCHgAcRsgDgMOmdE3eHs4VtzuTxt+/WPDwgboHfpjCdT5ziJh5CwXHh2wBI1E/pNnYBofZ/qRRbIPDbH+NfrbL2JMHAIcR8gDgsCldrjHVHb4Zh3q+eagXfh6kPZPTzxPAsKztZbjtTxrxNsj2N4Q9eQBwGCEPAA6jXDMC1mEfh4DAhKoru7ANjgp78gDgMEIeABxGyAOAwwh5AHAYIQ8ADiPkAcBhhDwAOIyQBwCHEfIA4DBCHgAcRsgDgMMIeQBwGCEPAA4j5AHAYYQ8ADiMkAcAhxHyAOAwQh4AHEbIA4DDCHkAcBghDwAOI+QBwGGEPAA4LDbZCwDJ9/0RTed53jgvCXD2WJ+bC3vyAOAwQh4AHEbIA4DDqMlPEKtO6Vftzqr5OlzPDOqWfsT4m+zZf5+pb2Ii1dXdzXX6TNZnyVqnWZ/HDnvyAOAwQh4AHEa5Zhz55mFrpRS0SwV7wlIxaFcrdl80HrQTyaAdS1qT+dHgfyWHuhgPVommUrY7y4NBu2i0zfVekiLRoB1P2H3xVPCzjPXeC5d1MCp8ewDgMEIeABxGuWYMWeUZyT5UHegLpju0x/7cvteDF4UBex7nzao1vQVLg3b7LHu6ZGswP/OQWJRvcGbqRtCYpcSivZ76vYeC9t4dQcexQ9Z0SrXUmt68C6wub9bC4EVLWzA/xe3pKN+MCt8WADiMkAcAhxHyAOAwavJjKXwlq1G39A/sDtpbnrAmKz+brbVLh/NWX2rZouDFDb9Ua3orr7d/ljGE0hyKNjQxNXmcgXBNvmwM9T1xzJ705S1B+wf/r9YubN9tTRefma61Y6s77fmvurXW9OZdGLyfss8xsW86OnxbAOAwQh4AHEa55iyd9sZjpeDKP3/Pz4K3n3zGmuypf95ea79ZtK8QvObl/bX2svb2YH6LLrKm86Z1BC/i9tWwwJkJlWuMIcH+kZw95dbna+3t3w7azx2yy4/zE8FwyBuL9tXd8YUX1NrerPlBhzE8WLK3OYYHvzX25CeBt3ipIrd8oGHfst/8Dc14++UTu0AAnMWe/ERrn6nq79+v/EBM6ekZed/qrnVd+On/obYP3anLkyX92wffryNbt03iggJwAXvyE6l9popXvE/rP5HSiqsTOnj5++Xfvl7SUMDH3/OfdeU1SX3s91p183ce04yVKyZ5gQGc69iTH0vhIWfmnfpiKRVXvk/rfzuujY8M1RE7b0gp+9T7tfwfl2mw4xKtvqlFuZy08ZGIfLXq/u/8vV69/YPqe/kVSdKyI0eCHzVoX1buVc1zAyN7kDJwWnW3NQheh9c/Gevm3t7gXNSWPvuOq5e1BuetOvcetfri+eDWH9a2w/p8VtiTnygz5it/IqKenuBEUS4ndd6YUs+Pl+u6m1qVM85lPfFERAODCXW885pJWFgAriDkJ8rOrWo/9JKyz5SUyQRv53LSR34zbgV8JiNt3tSvF7/2V9rz1YcnfFEBuINyzVgKD+cyH/gxfaZi+17R3AtalN18kTqvT1rBfkomIz2zaUCD//TXqvzpvbp8oTE0cn4wrMxrbbc/aD3/lWFlGAPh9chYx8Lrn2+sm5cuCO4g+d7QsOLZ8WCbaF2Wsfo0fWbQNrcd1uezwp78BIu9/rwy/i513Vtu2H/fZ8tK976mn/3xZyZ4yQC4iJCfYOUL3qGcd742fLLxQdQ9n4op336JLv70H07wkgFwEeWas2RecRd+WIcSwY3CvEXLVDrvfO0fnKvOVdGGpRppqEZ/7U0tym7+iG69ZI5iW3uCeVy9OmjPmGt/MGY+L5PDW4yF0HpkrGPh9c9cN+eXg6PUea+/YU/XEZR5vKvsQQXeomXBC2PbEQ/BOSvsyU8Qv2OueiOZuoDPZKSHv1quOxnbeX1SfVf+R+nKmyZ6UQE4hJCfIF6hT+lpvtasCcb8ZjJS9pmSPnzTG8puHrSCfs2tVaVbytLen0/C0gJwBSE/UQb7lTzwirq/UtXatX4t4OfmX1LkgXs05xc9taBfe0dV3fcXFPvS3dKBPW89bwAYBjX5seSF/maaNfkZ8yRJqcED6n5gjvJ5Tx3eEcWqUfkf/HXF5WtubLe2vXSh0tOqSry2WbrxRnlt04N5zFoQzDs8hDIWDDnjQccYC+H1yDfWsfD6F7n4qmC66UG93u+zr2q1tonZC60ur21mw+nqtiuMCiE/0cpFJQ+/pkRymrxe+0n2sX0/0YwZvdKeQ3VP3gGAM0HIT4bigLziQOO+HDV4AGOHkB9D4aFdfsT4elPTgunMw16FDlPDDx6JGsPHzGGSUXseHNJi3JnrWPg5wm3Beuq1BM9x9Sr2g0GseYS2A2v9NoZNMmTy7JAMAOAwQh4AHEbIA4DDqMmPI3MImm/WFcO3Pzjdg7eteqQ3zPvULTH+TnsLD6vWbtTWT/fAj/B5JGP+rM9jhz15AHAYIQ8ADqNcM0Gsw8+6Q9Gp8bfWH+bQfaoemp/L30fdMp4DyzxVTY10AYApipAHAIdRrsFZqSs5mK+roasd1bg84deNsjCeJXqO32zNr1bNF+HOxp8JP6zDHMnCqCqM0rm9BQEATouQBwCHEfIA4DBq8hg1/3R199Jg47YklYtB27qjYcKezrjDoR++Y2f4Sssm44e/j3IpaJcKdl/J+D7M+nws/H0kG7dlX3lKfR6NsCcPAA4j5AHAYZRrMHpmSSL0hCu/70jQfnOH/blDuaCdDMoO3tzF1mTenPODF6Fnifox4yZWTTK80homaZZnJKm/N5juwC77c/vfCF4MGqWtWRlrOm/+0qDdNsOef6IlaEfZnFGvObYSYCpoScufsbBx3+LlUvvMxn3AWeBPPzAR4kkNLrxa+XxEHbNTih0MnuVbXvJO9ba/TeklFSVeeGwSFxIuYk8eGG/xpArTFmr9R6NacUVEufJClWdfJGko4PfHL9WKK6Ja/7G4ile9X5rWMckLDJewJ48RserOlXLQNmrOkuRvfz5oP/kvVl/h5Z21djQdDJOMr7rKms67bk2tHVl0qb0gxpBBfxIfMjHsMNLQOYrqsQMqLu7U+rs8bdw4tIydq6LKPj1Pcy+8Tvu9xepcHVMup6F+P6buL65WfOMfSftO1uzfdUttft5lq+wFMR7o7jt0OwiMHdYEYDxNm6583lNPT/BHKJeTOq9L6Bubl6rzhpRyxvnoniciyvfHpPOXTcLCwkWEPDCeDu1Se3GXss9WlDEGzeRy0rrfiFkBn8lI2R8U1P5qj5TtmfhlhZMo12CEjPJEJRgm6B8/aE/14xdq7Te++5zV9/Sbx2rt6bGg7HJz3r4StGWBMaTSHE4pScnWkS7wxDGvVh3st/te367Y69s199Lrlf3B8ro991MyGemZTQM68vhDKv3vv7T6Fs8Ihk36C5ZafZ45xDR0dTAgsScPTIjYTzdrTul1dX2u3LD/3s+W1NK7Xds+84fW+4lL3yatvLHhZ/zp862aPNAIIQ9MgPKl1+tA/AJt+IPGB8+f/FRcA+3LtOIPP1N7L3HZZZr54KM6+vbbVLn2Nmv60owlOhJfqkJiNkGP06Jcg9EzyhN+MXQTsqNHa803j9gjTbK9wbTnp4JV75377BE6Lfm+4EX4hl/DPBd1Up3uhm35PpVX3qL9rSvUeW28YalGGqrRX3tTizZvWqdILKqjj39Xl/zV3+iu321VzxMRZTdfr7lXF+QVB1Wec4n2l+ar8+qI1qzx1f3AbKUG94/f74dzGnvyGB/zFitz57qGXTd89Lc0Z8XlE7s8k+WSq9WbeUddwGcy0lcfLNWdjL3+pla1/+qduvTbj+m3/1urNj4SGRqNc31S+8+/RZWlq7S/skidq6K1YZfr7/JUSM61nyAFnETIY+zNv0ClOz6t9o99Wgv/4NNW1/vu+5zedc+9+uD3/1Fzr1gxSQs4gQ7uUXpaRWvWBHv7mYy05akB3XL5K3p6U78V9LfeWlVrq6++vKeeJ4LN81TQf/276VrAn9LT4ymf9+R7HJijHiGPsTX/ApV+/VNa/ztJXXFNUt571taC/n33fU6X3PYbuuqapD7+e6267fHvux/0R/crsekRdX+pqLV3VGsB37H5G3r0pl/SvscfqgX9HXdUdf+fn9Crt71f/d9+SM8+OVA/7PLOSP2wy2xVHck+eZXB+p+PKY8//Rgh44pS80EVLeng/WSrind8Wut/J6GNjwztP6x+V4uyT63V1Tddr/3JJbr2ppahMsMjEUmt+vL3vq/4X/yu/F3GHStnzAra4ZOKzfhgDHOZwss7Y5akshIvfk/dX/gPyg/ElH7ue/L+9RFd394q/dl9iiRjeum5dZqWKunF2z+kZSf2SF/7ghLtSWWf+lV13tgy7LDLbLaqzHknFC/3SdEmHF6KSceePMaM39KufH9MPT2hMsONLfrW88tqAX9KzxMRnSjE5V3y9klY2gl2/JAif/oJdfR0y/tWt9W193N/rANf+Ixe/NAH1Lvtx7X3i1/5E80a2KmueyvhuUmSurqqmje7rHi5t2E/IBHyGEPesZzadz2t7NPFEV3d+eyTAxr4zsOq/svfT/iyTgZ/145hf9ddX31IvS+/Yr2X+OjdOtSyRBs+2fiE6oYNEe07GFMp1t6wH5Ao12CkhilJeB2zrMlih7Zprve6ss8uqd14KyyTkbKbBzX3F08ouusJee/+d/aPWrI8eJFssT/cJM80NX+2+ZzV8PKav0s89Ht2ZowrWfuDK2W9pUtVXn2bDmSuV+d1idMOu+zsjCibTSszI6K4V2o8IaY09uQx5mJ7tinT3jd8meHesjKRPYr+340TvGTniJU3qm/JDXUBn8lIDz/s1x0ldXZ6Ot7fKj+aqJ8XpjxCHmOuvHCFcr1tw5cZPhlTrrpQlfesneAlO0e8uUPp1orWrAkuOstkpOyzZX34VwaV3VK1gn7NGl/pNl+e3/iPKqY2Qh5jqrxwhfZ7w5dqpGDM9/4L303QN3Jwr+KPfUHdXyxq7dpqLeDn+jsVP75LmfZjtaBfu9ZXd7evVPlY/dW2gCTPH4fLxD3Pe+Wyt1162SvPbxnzeWPy+dZDMoI7SPqJVh3ub9eKlfVjubvuq2rDPfXvb3upohnaI6/3QO19r92o86em2T88FpQkJrMmb7K2oXLR7iycCKbrPWR/7tBe43PBjcu89pO1+pa0BhdcpfyJiDrixxTvPyi1tEmSSrF2HS9MU7pNSvm9UrUijytenbT8Hav0k1d/+hPf95e/9dT12JPHmPEqRaXTqru6M7ulog/fllf22XJ9mSFdlVfoazA3aCCv5J4XNDN+cCjgDfFyr2a2Hq8FPDAcRtdg7FTKSg3uUvcDQ/eA7+nxlN1SUSa2V7HXf6657Qtro27WrPHV/ZWyEjs2S+YFVbAV8vL6jzXs8or9UiLVsA84hZDH6BnPEq0LmUhUqcpRdXdPV75P6kieULzkSQsuVqJSViZ5Qtu2tiud9pUqHJIyS6RYaDU0SjKK2H3NUqIxWcMpw1e8Gn/AvLg9+sXrmBO8MB88Ej3N9xF+MIjHwThOj5DH2KuUldJRJVsi8gbzVld88IhmpkryCkWpzLhuYLwR8hgflbK88EnIk7xCH3ugwAQh5DFqVsnEs0d0+DGjL1xaGG4kV7gEY/wBaMbyzOl4EfuPl+8Z30F49Et8hN+HcXO48PyBt8IaAwAOI+QBwGGEPAA4jJo8xhQ1Y9vpzl8AE4EtEgAcRsgDgMMIeQBwGCEPAA4j5AHAYYQ8ADiMkAcAhxHyAOAwQh4AHEbIA4DDCHkAcBghDwAOI+QBwGGEPAA4jJAHAIcR8gDgMEIeABxGyAOAwwh5AHAYIQ8ADiPkAcBhhDwAOIyQBwCHEfIA4DBCHgAcRsgDgMMIeQBwGCEPAA4j5AHAYYQ8ADiMkAcAhxHyAOAwQh4AHEbIA4DDCHkAcBghDwAOI+QBwGGEPAA4jJAHAIcR8gDgMEIeABxGyAOAwzzf98d+pp7Xm0wk2pYuXTLm8waAqWTHjp0aLBb7fN9vP5PPj1fI5yS1Sto95jMHgKllkaR+3/czZ/LhcQl5AEBzoCYPAA4j5AHAYYQ8ADiMkAcAhxHyAOAwQh4AHEbIA4DDCHkAcBghDwAOI+QBwGGEPAA4jJAHAIcR8gDgMEIeABxGyAOAwwh5AHAYIQ8ADiPkAcBhhDwAOIyQBwCH/X8TgpvsCxavqwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 450x450 with 1 Axes>"
      ]
     },
     "execution_count": 153,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 450x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "centers = np.asarray([(x,y) for x,y in zip(cx,cy)])\n",
    "kernel_size = 0.1\n",
    "svgd_repulsive_weight = 1\n",
    "svgd_score_weight = 2\n",
    "\n",
    "def particle_reverse_diffusion(N, steps=1000, max_sigma2=1, min_sigma2=0.001, \n",
    "                               svgd_score_weight=1, svgd_repulsive_weight=1, kernel_size=0.001, noise_weight=1):\n",
    "    t_schedule = np.exp(np.linspace(np.log(min_sigma2), np.log(max_sigma2), steps))\n",
    "    x = np.random.normal(0, np.sqrt(max_sigma2), (N, 2))\n",
    "    list_samples = [x]\n",
    "    \n",
    "    for i in range(steps, 0, -1):\n",
    "        var = t_schedule[i-1]\n",
    "        d_sigma2 = t_schedule[i-1] - t_schedule[i-2] if i > 1 else t_schedule[i-1]\n",
    "        score_x = score(centers, x[:, 0], x[:, 1], t_schedule[i-1] + sigma2).T\n",
    "        \n",
    "        diff = x[:, None] - x[None, :]\n",
    "        d2_matrix = np.sum(diff*diff, axis=-1)\n",
    "        #print(d2_matrix.shape)\n",
    "        med2 = np.median(d2_matrix, axis=1, keepdims=True)[0]\n",
    "        h = np.sqrt(var) #* med2 / max(np.log(N), 1)\n",
    "        k = np.expand_dims(np.exp(-1 / h * d2_matrix), axis=-1)\n",
    "        repulsive = np.sum(2 / h * diff * k, axis=1) / N #/ np.sqrt(var)\n",
    "        z = np.random.normal(0, 1, (N,2))\n",
    "        perturb_x = d_sigma2 * (svgd_score_weight * score_x + svgd_repulsive_weight * repulsive) + noise_weight * np.sqrt(d_sigma2) * z\n",
    "        #print(score_x, repulsive)\n",
    "        x = x + perturb_x\n",
    "        list_samples.append(x)\n",
    "        #print(x)\n",
    "    \n",
    "    return list_samples, t_schedule\n",
    "\n",
    "steps = 200\n",
    "particle_list_samples, t_schedule = particle_reverse_diffusion(10, steps, svgd_score_weight=1, svgd_repulsive_weight=10, kernel_size=0.001, noise_weight=1)\n",
    "figure_func(-1, particle_list_samples)\n",
    "#count_different_centers_wrap(svgd_score_weight=1, svgd_repulsive_weight=100, kernel_size=0.001, noise_weight=0.1, num=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "a5110e98",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def count_different_centers(x, centers):\n",
    "    d = x[:, None] - centers[None, :]\n",
    "    distances = np.sum(d * d, axis=-1)\n",
    "    minimum = np.argmin(distances, axis=1)\n",
    "    sums = np.zeros(len(centers))\n",
    "    np.add.at(sums, minimum, 1)\n",
    "    return np.sum(sums>0)\n",
    "    \n",
    "count_different_centers(particle_list_samples[-1], np.asarray(centers))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "id": "f61c4fab",
   "metadata": {},
   "outputs": [],
   "source": [
    "def count_different_centers_wrap(svgd_score_weight=1, svgd_repulsive_weight=1, kernel_size=0.001, noise_weight=1, num=1):\n",
    "    vals = []\n",
    "    for i in range(num):\n",
    "        x = particle_reverse_diffusion(N=10, steps=200, svgd_score_weight=svgd_score_weight, \n",
    "                                       svgd_repulsive_weight=svgd_repulsive_weight, noise_weight=noise_weight, kernel_size=kernel_size)[0][-1]\n",
    "        v = count_different_centers(x, centers)\n",
    "        vals.append(v)\n",
    "    print(vals)\n",
    "    return sum(vals) / num"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "1fb84e5a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[7, 6, 5, 6, 7, 6, 7, 7, 6, 4]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "6.1"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "count_different_centers_wrap(num=10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "02b92c17",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(array([1.00000000e-02, 3.16227766e-02, 1.00000000e-01, 3.16227766e-01,\n",
       "        1.00000000e+00, 3.16227766e+00, 1.00000000e+01, 3.16227766e+01,\n",
       "        1.00000000e+02, 3.16227766e+02, 1.00000000e+03]),\n",
       " array([0.01      , 0.03162278, 0.1       , 0.31622777, 1.        ]))"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "possible_kernel = np.exp(np.linspace(np.log(0.01), np.log(1000), 11))\n",
    "possible_noise = np.exp(np.linspace(np.log(0.01), np.log(1), 5))\n",
    "possible_kernel, possible_noise"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "1c1521d3",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "  0%|                                                    | 0/11 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[6, 6, 7, 7, 5, 7, 7, 6, 7, 7, 6, 8, 7, 7, 7, 7, 7, 7, 5, 6, 5, 6, 7, 8, 5, 8, 6, 6, 6, 7, 6, 5, 7, 7, 7, 6, 8, 7, 8, 6, 7, 7, 7, 5, 6, 6, 6, 7, 7, 6, 8, 4, 7, 6, 6, 6, 8, 7, 6, 6, 7, 6, 7, 7, 7, 8, 7, 7, 7, 8, 6, 6, 7, 8, 6, 6, 7, 6, 6, 8, 5, 7, 7, 6, 7, 7, 6, 7, 6, 7, 8, 5, 7, 6, 6, 6, 6, 5, 7, 6]\n",
      "[6, 6, 8, 7, 7, 4, 6, 8, 7, 7, 7, 5, 6, 6, 6, 8, 7, 7, 6, 6, 7, 6, 8, 7, 7, 5, 5, 6, 7, 7, 5, 7, 6, 5, 7, 5, 8, 6, 7, 6, 6, 7, 8, 6, 7, 6, 6, 7, 7, 7, 7, 7, 6, 6, 5, 5, 8, 7, 6, 7, 6, 8, 6, 5, 7, 6, 8, 5, 7, 8, 7, 8, 5, 8, 6, 5, 6, 6, 8, 6, 6, 7, 8, 8, 6, 7, 8, 8, 5, 9, 6, 6, 6, 5, 8, 7, 6, 8, 5, 7]\n",
      "[6, 6, 7, 6, 6, 8, 6, 4, 6, 6, 7, 6, 5, 7, 8, 6, 8, 6, 7, 6, 7, 6, 7, 6, 6, 5, 5, 8, 7, 5, 6, 7, 6, 8, 6, 6, 8, 7, 5, 8, 7, 7, 5, 8, 7, 6, 6, 5, 7, 6, 6, 6, 6, 7, 5, 6, 7, 8, 8, 8, 6, 5, 5, 5, 6, 7, 5, 6, 7, 5, 7, 8, 8, 7, 6, 4, 8, 6, 7, 6, 6, 6, 5, 6, 7, 7, 7, 5, 6, 9, 7, 8, 8, 5, 7, 8, 6, 4, 7, 7]\n",
      "[6, 6, 6, 7, 6, 8, 4, 8, 6, 6, 7, 8, 7, 7, 7, 6, 7, 6, 8, 7, 7, 7, 6, 6, 8, 6, 7, 7, 7, 6, 8, 6, 6, 6, 5, 5, 6, 9, 9, 6, 7, 8, 6, 7, 5, 7, 7, 6, 7, 8, 7, 4, 5, 7, 7, 6, 7, 7, 6, 4, 6, 6, 7, 4, 8, 7, 7, 7, 4, 7, 6, 7, 6, 7, 7, 6, 6, 7, 7, 5, 5, 7, 7, 7, 4, 7, 7, 6, 7, 6, 7, 5, 6, 7, 5, 6, 7, 6, 7, 8]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "  9%|████                                        | 1/11 [00:28<04:48, 28.89s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[6, 6, 7, 7, 6, 6, 5, 6, 7, 8, 8, 6, 5, 8, 9, 7, 7, 5, 7, 6, 5, 5, 6, 6, 5, 7, 8, 6, 8, 5, 5, 6, 8, 6, 6, 7, 7, 7, 6, 5, 4, 7, 7, 5, 7, 6, 7, 5, 6, 5, 6, 8, 8, 6, 8, 6, 6, 8, 5, 7, 5, 6, 6, 6, 6, 8, 8, 8, 6, 6, 7, 7, 6, 8, 7, 6, 6, 5, 8, 6, 6, 6, 7, 6, 6, 6, 6, 6, 7, 7, 5, 5, 8, 5, 6, 6, 7, 6, 5, 7]\n",
      "[7, 6, 8, 5, 6, 8, 7, 8, 7, 6, 6, 6, 6, 5, 7, 7, 5, 9, 8, 6, 9, 7, 7, 7, 5, 7, 8, 5, 8, 6, 8, 7, 8, 7, 5, 8, 7, 7, 5, 6, 7, 7, 6, 7, 6, 8, 7, 5, 6, 5, 6, 5, 8, 7, 7, 8, 7, 7, 8, 6, 8, 6, 7, 6, 7, 8, 6, 7, 5, 6, 7, 8, 7, 6, 7, 8, 8, 7, 6, 5, 6, 5, 8, 6, 6, 6, 6, 6, 6, 7, 7, 5, 8, 7, 6, 6, 7, 6, 5, 5]\n",
      "[8, 6, 8, 5, 8, 5, 6, 6, 6, 7, 5, 7, 6, 8, 7, 5, 7, 7, 5, 6, 8, 7, 8, 6, 5, 8, 7, 7, 6, 5, 7, 7, 5, 7, 7, 5, 7, 5, 5, 7, 8, 6, 8, 8, 5, 7, 6, 9, 6, 6, 5, 5, 5, 7, 7, 7, 8, 7, 5, 6, 5, 7, 7, 5, 6, 5, 5, 9, 6, 7, 7, 8, 6, 7, 6, 7, 6, 7, 7, 7, 5, 7, 6, 5, 7, 9, 5, 6, 7, 7, 6, 7, 6, 7, 7, 9, 7, 8, 7, 7]\n",
      "[7, 8, 7, 6, 7, 6, 9, 7, 5, 6, 6, 7, 5, 7, 6, 8, 6, 7, 8, 6, 6, 6, 6, 6, 8, 7, 4, 8, 8, 6, 7, 6, 6, 7, 6, 8, 5, 8, 6, 7, 7, 9, 5, 5, 7, 7, 6, 6, 6, 7, 6, 5, 6, 9, 7, 9, 7, 7, 6, 7, 8, 7, 5, 7, 5, 7, 7, 7, 6, 7, 8, 7, 6, 6, 6, 4, 6, 9, 7, 7, 8, 5, 6, 7, 7, 8, 6, 7, 7, 6, 6, 6, 7, 7, 7, 6, 8, 7, 7, 7]\n",
      "[5, 7, 6, 5, 7, 7, 8, 7, 7, 5, 6, 8, 7, 7, 8, 7, 6, 7, 5, 5, 8, 6, 7, 8, 8, 6, 6, 6, 5, 6, 5, 7, 5, 7, 6, 6, 5, 7, 7, 6, 5, 8, 6, 6, 6, 6, 8, 7, 8, 5, 7, 7, 7, 6, 7, 8, 8, 7, 5, 7, 6, 8, 7, 6, 8, 5, 5, 7, 5, 8, 7, 7, 8, 7, 7, 9, 6, 6, 8, 7, 7, 6, 6, 7, 8, 5, 6, 8, 5, 6, 7, 7, 7, 8, 6, 7, 7, 5, 5, 7]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 18%|████████                                    | 2/11 [00:57<04:20, 28.89s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[6, 6, 8, 7, 7, 6, 7, 6, 6, 8, 7, 6, 7, 7, 7, 8, 7, 7, 7, 6, 6, 7, 7, 8, 8, 6, 8, 8, 6, 6, 5, 8, 8, 5, 6, 5, 7, 5, 7, 7, 6, 8, 4, 6, 7, 7, 7, 6, 6, 8, 7, 5, 7, 6, 6, 7, 6, 7, 5, 6, 6, 6, 5, 5, 5, 5, 8, 6, 5, 6, 6, 7, 8, 7, 7, 7, 7, 8, 6, 7, 5, 7, 8, 5, 7, 9, 5, 7, 6, 5, 5, 8, 6, 7, 6, 8, 6, 6, 6, 7]\n",
      "[6, 5, 6, 9, 7, 7, 7, 7, 7, 5, 5, 8, 6, 5, 6, 6, 7, 7, 7, 7, 7, 7, 7, 6, 7, 7, 5, 5, 7, 7, 6, 6, 6, 7, 7, 7, 7, 6, 6, 7, 7, 4, 6, 8, 6, 7, 7, 6, 7, 8, 7, 5, 6, 6, 7, 6, 6, 6, 7, 6, 6, 8, 5, 6, 8, 6, 8, 7, 7, 8, 6, 8, 7, 4, 6, 6, 6, 6, 6, 5, 8, 7, 8, 6, 6, 6, 6, 7, 6, 6, 7, 7, 9, 6, 5, 7, 7, 7, 7, 6]\n",
      "[7, 8, 6, 6, 8, 7, 7, 7, 7, 7, 5, 7, 7, 6, 6, 6, 5, 5, 5, 5, 7, 7, 7, 7, 7, 7, 7, 5, 8, 5, 7, 7, 7, 6, 6, 7, 7, 7, 5, 5, 5, 6, 6, 8, 6, 7, 5, 6, 7, 7, 6, 9, 6, 5, 5, 6, 4, 6, 7, 7, 8, 4, 7, 7, 5, 7, 6, 6, 7, 5, 7, 8, 7, 6, 8, 7, 6, 6, 7, 6, 6, 6, 8, 6, 6, 7, 6, 6, 7, 6, 6, 7, 5, 6, 7, 8, 7, 7, 6, 6]\n",
      "[7, 8, 7, 6, 7, 7, 5, 8, 6, 7, 7, 6, 6, 7, 7, 7, 7, 6, 7, 7, 8, 7, 6, 6, 6, 7, 8, 5, 8, 8, 6, 6, 5, 6, 6, 7, 6, 5, 8, 7, 7, 4, 5, 6, 6, 6, 7, 7, 7, 7, 7, 6, 7, 7, 6, 5, 6, 5, 5, 8, 7, 7, 8, 9, 6, 6, 7, 7, 7, 7, 7, 7, 6, 6, 4, 6, 7, 8, 7, 6, 7, 4, 7, 7, 7, 6, 7, 7, 8, 6, 7, 7, 7, 8, 5, 6, 6, 6, 7, 6]\n",
      "[8, 6, 6, 7, 6, 6, 7, 7, 6, 7, 6, 6, 6, 7, 6, 7, 8, 6, 7, 6, 6, 8, 5, 7, 7, 7, 6, 7, 8, 7, 4, 7, 6, 8, 7, 8, 7, 6, 6, 7, 6, 8, 6, 7, 5, 6, 7, 6, 8, 6, 6, 7, 6, 7, 6, 7, 7, 7, 8, 6, 8, 8, 6, 6, 7, 7, 6, 6, 7, 6, 7, 8, 4, 7, 6, 7, 7, 7, 8, 5, 5, 7, 7, 6, 7, 8, 7, 8, 6, 8, 6, 7, 7, 4, 5, 6, 5, 6, 8, 6]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 27%|████████████                                | 3/11 [01:26<03:51, 28.88s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[7, 7, 6, 6, 7, 7, 6, 7, 8, 8, 6, 6, 7, 7, 7, 7, 7, 6, 8, 8, 9, 5, 6, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 5, 6, 7, 7, 7, 6, 7, 8, 5, 7, 8, 7, 7, 9, 9, 6, 8, 6, 7, 4, 6, 7, 6, 7, 6, 7, 8, 6, 6, 7, 7, 7, 7, 5, 5, 6, 8, 7, 6, 7, 6, 7, 8, 7, 8, 6, 7, 6, 5, 6, 6, 7, 6, 6, 7, 8, 8, 6, 6, 7, 7, 7, 7, 6, 8]\n",
      "[9, 8, 5, 6, 8, 7, 6, 8, 6, 7, 7, 4, 7, 8, 7, 6, 6, 6, 8, 8, 6, 8, 7, 6, 8, 7, 6, 9, 7, 8, 7, 7, 7, 7, 6, 8, 7, 6, 8, 6, 7, 7, 7, 6, 8, 6, 7, 6, 6, 6, 5, 7, 9, 8, 6, 7, 7, 7, 7, 6, 7, 8, 5, 8, 8, 5, 5, 8, 7, 5, 6, 6, 9, 7, 6, 6, 6, 6, 9, 7, 6, 7, 8, 8, 6, 6, 9, 7, 7, 6, 6, 7, 7, 6, 6, 6, 7, 7, 7, 5]\n",
      "[7, 7, 7, 4, 6, 7, 8, 7, 7, 5, 7, 7, 7, 6, 8, 6, 8, 7, 6, 6, 7, 7, 5, 6, 6, 6, 8, 4, 6, 6, 5, 8, 7, 8, 6, 7, 5, 7, 9, 6, 8, 7, 9, 7, 9, 6, 7, 5, 8, 7, 7, 9, 7, 9, 5, 7, 7, 6, 8, 5, 8, 8, 6, 7, 8, 7, 7, 6, 8, 7, 7, 8, 7, 7, 6, 7, 7, 7, 8, 6, 7, 7, 8, 7, 6, 8, 5, 6, 7, 5, 6, 8, 5, 7, 8, 6, 7, 9, 7, 6]\n",
      "[7, 8, 6, 7, 7, 5, 7, 6, 5, 5, 8, 6, 7, 6, 7, 6, 7, 6, 7, 6, 6, 6, 6, 5, 8, 7, 7, 4, 8, 7, 6, 6, 7, 7, 7, 4, 6, 6, 7, 6, 5, 5, 8, 8, 7, 7, 7, 7, 6, 7, 5, 9, 8, 5, 6, 6, 7, 7, 8, 8, 8, 7, 6, 6, 7, 7, 7, 6, 6, 8, 6, 8, 7, 7, 5, 6, 5, 7, 6, 6, 7, 8, 7, 6, 6, 6, 8, 7, 7, 6, 7, 5, 7, 6, 6, 6, 5, 8, 6, 9]\n",
      "[5, 7, 8, 6, 7, 7, 6, 7, 8, 6, 7, 6, 8, 6, 7, 8, 7, 5, 7, 6, 8, 7, 7, 7, 7, 5, 8, 5, 6, 6, 6, 5, 7, 6, 6, 5, 7, 8, 7, 5, 8, 7, 6, 4, 8, 7, 8, 7, 6, 7, 8, 8, 7, 9, 7, 6, 6, 6, 6, 6, 7, 6, 6, 6, 7, 7, 7, 6, 6, 4, 8, 6, 8, 8, 5, 5, 7, 6, 7, 8, 6, 6, 7, 8, 6, 8, 8, 7, 7, 8, 6, 7, 7, 5, 6, 7, 7, 7, 8, 8]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 36%|████████████████                            | 4/11 [01:55<03:22, 28.94s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[6, 7, 8, 6, 6, 8, 6, 8, 7, 8, 7, 5, 7, 7, 6, 6, 7, 7, 7, 6, 6, 7, 8, 8, 6, 8, 7, 9, 7, 7, 7, 6, 7, 5, 8, 5, 6, 7, 6, 7, 5, 5, 8, 7, 7, 5, 7, 7, 7, 6, 7, 5, 7, 4, 7, 7, 6, 5, 7, 7, 6, 6, 8, 6, 8, 7, 6, 5, 8, 9, 8, 6, 7, 6, 8, 8, 5, 7, 6, 6, 6, 7, 6, 6, 7, 6, 6, 6, 5, 6, 7, 7, 8, 6, 7, 5, 6, 8, 6, 8]\n",
      "[8, 7, 8, 8, 6, 6, 6, 7, 6, 9, 7, 7, 8, 7, 8, 7, 9, 7, 9, 6, 6, 7, 8, 7, 6, 7, 7, 5, 6, 7, 5, 5, 9, 7, 8, 9, 8, 8, 6, 7, 8, 7, 7, 6, 7, 8, 8, 7, 8, 5, 8, 7, 8, 6, 6, 6, 8, 7, 7, 7, 8, 6, 6, 7, 6, 9, 7, 6, 8, 8, 7, 8, 5, 6, 7, 7, 8, 8, 7, 8, 8, 8, 7, 8, 8, 9, 7, 7, 8, 7, 7, 9, 7, 8, 7, 7, 8, 7, 6, 7]\n",
      "[7, 7, 7, 6, 7, 7, 8, 7, 8, 6, 9, 6, 6, 7, 5, 7, 8, 7, 7, 7, 7, 8, 6, 7, 9, 7, 8, 6, 7, 6, 7, 7, 7, 8, 7, 7, 6, 7, 6, 5, 7, 8, 7, 6, 6, 7, 7, 8, 9, 8, 7, 7, 8, 7, 6, 6, 7, 7, 8, 8, 8, 8, 8, 6, 8, 9, 7, 7, 6, 8, 7, 7, 8, 7, 7, 7, 6, 7, 6, 7, 6, 8, 7, 7, 7, 7, 8, 9, 6, 9, 6, 7, 6, 7, 6, 9, 8, 7, 8, 8]\n",
      "[7, 6, 8, 8, 9, 8, 9, 7, 6, 8, 7, 9, 5, 8, 6, 6, 7, 8, 7, 7, 7, 7, 8, 8, 8, 7, 8, 6, 7, 7, 7, 7, 5, 7, 9, 7, 5, 8, 8, 8, 7, 6, 7, 8, 7, 8, 7, 7, 6, 8, 6, 6, 7, 6, 7, 6, 6, 6, 7, 7, 7, 7, 8, 8, 6, 7, 6, 7, 8, 6, 6, 7, 7, 7, 7, 7, 7, 7, 9, 8, 8, 8, 6, 7, 8, 7, 7, 6, 7, 8, 7, 7, 7, 8, 8, 7, 8, 7, 7, 7]\n",
      "[9, 6, 5, 7, 6, 7, 8, 6, 6, 6, 6, 6, 7, 10, 9, 5, 6, 8, 6, 6, 8, 7, 8, 7, 8, 7, 7, 5, 7, 6, 7, 6, 6, 6, 7, 7, 6, 7, 6, 8, 7, 9, 6, 5, 7, 7, 8, 6, 7, 8, 5, 8, 7, 6, 6, 6, 7, 9, 9, 6, 8, 7, 7, 7, 8, 8, 8, 4, 6, 7, 6, 7, 7, 6, 7, 8, 7, 8, 8, 6, 7, 7, 5, 7, 6, 7, 8, 5, 6, 6, 8, 8, 7, 7, 7, 7, 7, 7, 7, 8]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 45%|████████████████████                        | 5/11 [02:24<02:53, 28.89s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[7, 7, 7, 7, 6, 7, 8, 8, 8, 6, 5, 8, 8, 8, 6, 6, 8, 7, 7, 6, 6, 7, 8, 7, 6, 7, 6, 7, 8, 7, 5, 6, 6, 6, 6, 7, 8, 6, 7, 6, 6, 5, 6, 6, 7, 6, 5, 7, 5, 8, 7, 8, 6, 8, 7, 8, 7, 6, 6, 5, 5, 6, 6, 7, 7, 8, 5, 7, 7, 5, 8, 7, 7, 7, 7, 7, 6, 7, 6, 8, 8, 6, 8, 6, 7, 8, 6, 6, 6, 5, 6, 7, 5, 7, 6, 5, 5, 6, 6, 5]\n",
      "[8, 8, 8, 8, 9, 9, 8, 8, 8, 8, 9, 8, 8, 9, 8, 8, 8, 8, 7, 7, 7, 8, 8, 8, 7, 8, 7, 8, 8, 7, 8, 7, 8, 8, 7, 8, 7, 9, 8, 9, 8, 7, 8, 9, 8, 9, 8, 9, 6, 8, 8, 8, 8, 7, 7, 7, 8, 9, 7, 8, 8, 9, 8, 8, 8, 9, 9, 9, 8, 8, 7, 6, 7, 9, 7, 6, 8, 8, 7, 8, 8, 9, 8, 7, 8, 8, 8, 6, 9, 7, 7, 8, 8, 9, 8, 9, 9, 8, 8, 7]\n",
      "[8, 9, 7, 6, 8, 7, 7, 9, 8, 9, 7, 8, 6, 8, 9, 7, 8, 7, 8, 8, 7, 8, 8, 8, 8, 6, 8, 9, 8, 7, 8, 8, 9, 7, 8, 9, 9, 6, 8, 7, 7, 8, 9, 8, 9, 7, 10, 8, 7, 9, 8, 9, 9, 8, 8, 9, 8, 9, 8, 7, 9, 7, 9, 8, 8, 7, 9, 9, 6, 9, 7, 9, 8, 8, 8, 8, 7, 8, 8, 8, 7, 8, 8, 7, 7, 8, 9, 8, 7, 8, 9, 7, 7, 8, 9, 8, 8, 9, 9, 9]\n",
      "[9, 8, 8, 7, 7, 9, 8, 10, 9, 7, 8, 8, 8, 8, 8, 9, 6, 9, 7, 8, 7, 10, 7, 8, 6, 6, 7, 8, 9, 9, 8, 8, 8, 7, 8, 9, 9, 9, 7, 8, 8, 8, 7, 9, 9, 8, 7, 8, 8, 8, 7, 7, 9, 8, 8, 8, 8, 9, 9, 7, 9, 9, 8, 6, 9, 6, 7, 8, 7, 10, 7, 7, 9, 8, 8, 9, 8, 8, 8, 9, 6, 9, 7, 8, 9, 8, 9, 8, 9, 9, 7, 9, 8, 8, 7, 8, 9, 8, 8, 8]\n",
      "[7, 9, 7, 8, 7, 9, 8, 7, 7, 8, 10, 6, 7, 8, 7, 8, 9, 8, 8, 9, 8, 8, 9, 9, 7, 7, 8, 8, 8, 9, 8, 7, 8, 9, 8, 8, 9, 7, 8, 7, 8, 7, 7, 8, 7, 7, 8, 6, 8, 8, 7, 9, 7, 8, 7, 9, 8, 9, 7, 9, 8, 8, 7, 8, 6, 8, 8, 8, 8, 9, 8, 7, 9, 9, 5, 8, 8, 6, 9, 8, 7, 8, 8, 7, 8, 9, 7, 9, 8, 8, 8, 8, 7, 7, 7, 8, 7, 8, 7, 8]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 55%|████████████████████████                    | 6/11 [02:53<02:24, 28.86s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[7, 7, 7, 6, 7, 6, 7, 10, 7, 7, 6, 4, 9, 7, 7, 8, 7, 8, 7, 6, 8, 8, 8, 6, 7, 8, 7, 8, 6, 6, 5, 7, 6, 7, 8, 9, 6, 8, 6, 7, 8, 8, 6, 8, 8, 8, 5, 6, 7, 7, 8, 6, 5, 6, 8, 7, 8, 7, 6, 5, 9, 7, 6, 6, 6, 6, 6, 8, 7, 7, 7, 7, 8, 6, 7, 7, 6, 6, 6, 8, 6, 7, 7, 4, 7, 8, 7, 8, 7, 5, 9, 8, 8, 7, 6, 7, 8, 7, 8, 5]\n",
      "[9, 9, 8, 9, 8, 9, 9, 9, 9, 10, 8, 8, 8, 8, 9, 9, 9, 7, 9, 7, 9, 8, 9, 9, 8, 8, 9, 9, 8, 8, 10, 9, 9, 9, 7, 9, 9, 10, 9, 8, 8, 9, 10, 8, 9, 8, 8, 8, 9, 8, 8, 10, 7, 9, 9, 7, 8, 8, 8, 9, 9, 8, 8, 9, 8, 8, 9, 8, 9, 8, 8, 9, 9, 8, 9, 8, 9, 8, 8, 9, 9, 8, 10, 9, 8, 9, 8, 9, 9, 8, 9, 9, 8, 10, 10, 9, 9, 8, 8, 8]\n",
      "[9, 10, 9, 9, 8, 9, 8, 9, 9, 8, 8, 9, 9, 8, 8, 8, 7, 9, 9, 9, 10, 10, 8, 9, 9, 9, 9, 8, 8, 9, 9, 8, 8, 9, 8, 9, 9, 8, 7, 9, 8, 7, 9, 8, 8, 8, 9, 7, 9, 9, 8, 8, 8, 8, 9, 9, 8, 9, 9, 8, 8, 9, 8, 8, 8, 9, 9, 8, 9, 9, 8, 9, 9, 9, 9, 8, 9, 8, 9, 9, 8, 9, 9, 9, 9, 8, 8, 9, 7, 8, 10, 9, 7, 8, 8, 9, 9, 8, 7, 9]\n",
      "[10, 8, 9, 9, 9, 9, 9, 8, 8, 9, 8, 8, 8, 9, 8, 8, 9, 7, 9, 9, 8, 10, 9, 9, 9, 8, 9, 9, 9, 9, 8, 9, 9, 9, 9, 8, 10, 9, 8, 9, 9, 9, 9, 7, 10, 8, 8, 9, 9, 9, 9, 10, 10, 8, 9, 9, 9, 8, 7, 8, 10, 8, 8, 10, 8, 9, 8, 9, 9, 8, 9, 8, 8, 10, 8, 8, 9, 9, 8, 9, 8, 8, 8, 8, 9, 9, 9, 9, 8, 8, 8, 8, 9, 7, 10, 8, 8, 8, 7, 8]\n",
      "[8, 9, 8, 8, 7, 9, 8, 9, 8, 8, 8, 9, 9, 9, 9, 9, 9, 8, 8, 9, 8, 8, 9, 8, 8, 8, 9, 9, 8, 9, 9, 9, 10, 9, 9, 9, 9, 9, 8, 7, 8, 9, 8, 9, 8, 8, 8, 8, 8, 9, 8, 8, 9, 9, 6, 9, 8, 8, 8, 7, 8, 8, 9, 9, 8, 8, 7, 9, 8, 7, 9, 10, 9, 7, 9, 8, 8, 9, 9, 9, 7, 9, 8, 8, 7, 8, 8, 8, 8, 9, 9, 7, 9, 8, 8, 9, 8, 7, 9, 9]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 64%|████████████████████████████                | 7/11 [03:21<01:55, 28.80s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[7, 8, 8, 7, 9, 7, 7, 8, 8, 7, 8, 8, 8, 8, 8, 8, 9, 7, 7, 8, 8, 7, 7, 6, 7, 7, 7, 8, 7, 9, 8, 9, 9, 8, 7, 8, 6, 9, 7, 7, 8, 7, 8, 9, 8, 8, 7, 7, 8, 7, 7, 7, 8, 7, 7, 7, 10, 7, 9, 9, 9, 6, 6, 7, 8, 8, 8, 8, 7, 8, 8, 9, 6, 8, 8, 8, 7, 8, 7, 9, 7, 7, 8, 7, 9, 7, 9, 8, 8, 6, 8, 7, 7, 8, 6, 9, 7, 7, 8, 8]\n",
      "[9, 8, 8, 9, 9, 9, 9, 8, 7, 8, 8, 8, 8, 8, 8, 10, 8, 9, 7, 8, 10, 10, 9, 10, 8, 8, 9, 8, 8, 10, 8, 8, 9, 10, 8, 8, 9, 8, 9, 8, 9, 9, 8, 9, 8, 8, 8, 9, 9, 9, 10, 8, 9, 9, 9, 8, 8, 9, 8, 9, 9, 9, 8, 8, 9, 7, 8, 8, 8, 9, 9, 7, 9, 7, 7, 9, 8, 8, 8, 8, 9, 8, 9, 8, 9, 9, 8, 10, 8, 8, 10, 9, 9, 9, 9, 9, 10, 8, 9, 8]\n",
      "[9, 10, 9, 9, 9, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 8, 10, 9, 9, 8, 9, 10, 9, 9, 10, 8, 8, 8, 9, 8, 9, 9, 8, 8, 9, 7, 9, 9, 9, 8, 9, 9, 9, 10, 9, 9, 9, 8, 9, 9, 8, 9, 8, 9, 10, 8, 9, 9, 9, 8, 9, 8, 8, 9, 10, 10, 9, 8, 8, 10, 9, 9, 9, 8, 9, 9, 9, 9, 9, 10, 9, 10, 9, 9, 9, 8, 9, 8, 8, 9, 9, 9, 9, 10, 8, 10, 8]\n",
      "[9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 9, 8, 9, 9, 10, 10, 8, 8, 8, 8, 8, 9, 10, 8, 8, 7, 9, 8, 8, 9, 10, 9, 10, 9, 8, 9, 8, 8, 8, 9, 9, 8, 8, 9, 8, 10, 9, 9, 8, 8, 9, 10, 8, 9, 10, 9, 8, 10, 9, 10, 10, 9, 8, 8, 9, 10, 9, 8, 10, 9, 10, 8, 10, 9, 9, 9, 8, 9, 8, 7, 8, 9, 9, 8, 9, 8, 9, 9, 7, 8, 9, 9, 9, 9, 9, 9, 8, 9, 8, 9]\n",
      "[9, 9, 10, 9, 8, 8, 7, 9, 9, 9, 9, 9, 9, 9, 8, 9, 9, 10, 9, 9, 9, 9, 8, 9, 9, 8, 8, 10, 9, 9, 8, 9, 9, 8, 10, 10, 9, 10, 9, 9, 9, 9, 8, 10, 8, 8, 9, 8, 9, 8, 9, 9, 9, 8, 9, 9, 8, 9, 9, 8, 9, 8, 8, 8, 9, 8, 8, 9, 10, 9, 9, 8, 8, 8, 10, 9, 9, 9, 9, 8, 10, 8, 9, 9, 9, 8, 8, 10, 9, 9, 9, 9, 8, 8, 9, 10, 9, 9, 8, 9]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 73%|████████████████████████████████            | 8/11 [03:50<01:26, 28.74s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[8, 7, 8, 8, 8, 8, 9, 8, 10, 9, 9, 9, 8, 9, 7, 9, 9, 9, 8, 7, 8, 9, 8, 9, 8, 7, 7, 8, 8, 9, 8, 7, 7, 9, 8, 9, 7, 9, 7, 10, 9, 9, 7, 9, 9, 9, 8, 7, 8, 8, 10, 9, 8, 8, 8, 9, 8, 8, 9, 8, 9, 9, 7, 8, 8, 9, 8, 9, 8, 7, 9, 7, 8, 7, 8, 7, 7, 8, 7, 7, 7, 9, 8, 9, 7, 9, 9, 8, 7, 7, 7, 8, 8, 8, 9, 9, 8, 8, 8, 8]\n",
      "[8, 9, 9, 9, 9, 9, 10, 7, 7, 9, 9, 9, 10, 9, 9, 9, 9, 9, 9, 10, 10, 9, 8, 9, 9, 9, 9, 10, 9, 9, 8, 9, 9, 9, 9, 10, 8, 8, 8, 8, 9, 9, 8, 8, 7, 8, 10, 9, 9, 9, 9, 9, 8, 9, 9, 8, 8, 8, 9, 8, 9, 9, 8, 9, 9, 8, 10, 9, 9, 9, 8, 10, 8, 8, 9, 9, 9, 9, 9, 9, 8, 8, 10, 9, 9, 9, 9, 8, 9, 9, 8, 9, 9, 9, 9, 8, 10, 8, 8, 9]\n",
      "[9, 10, 8, 7, 8, 8, 9, 9, 10, 8, 10, 9, 9, 9, 9, 9, 8, 9, 9, 10, 10, 8, 9, 7, 9, 9, 9, 8, 9, 8, 8, 8, 10, 10, 8, 9, 8, 8, 8, 10, 9, 9, 9, 9, 9, 9, 8, 9, 8, 10, 10, 10, 7, 10, 8, 9, 10, 10, 9, 8, 9, 8, 8, 9, 8, 9, 8, 9, 9, 8, 9, 9, 8, 8, 8, 9, 7, 8, 8, 9, 8, 9, 8, 10, 10, 10, 10, 9, 10, 8, 7, 9, 9, 10, 9, 9, 8, 9, 9, 8]\n",
      "[8, 9, 8, 8, 9, 9, 9, 9, 9, 8, 10, 9, 8, 9, 9, 8, 9, 9, 7, 10, 8, 9, 9, 9, 8, 8, 10, 9, 9, 9, 10, 9, 8, 9, 8, 9, 8, 8, 8, 8, 9, 9, 9, 9, 10, 8, 8, 9, 9, 9, 9, 9, 9, 9, 8, 9, 8, 8, 9, 8, 8, 9, 9, 10, 9, 9, 10, 9, 10, 8, 9, 10, 9, 8, 8, 7, 9, 8, 7, 10, 9, 7, 8, 8, 10, 9, 9, 8, 8, 8, 10, 10, 9, 8, 8, 9, 8, 9, 8, 8]\n",
      "[9, 9, 9, 8, 9, 7, 10, 8, 9, 9, 8, 10, 8, 10, 9, 9, 9, 9, 8, 10, 9, 8, 9, 8, 10, 10, 9, 8, 8, 8, 9, 8, 8, 9, 8, 9, 9, 8, 8, 8, 9, 9, 8, 9, 9, 8, 9, 10, 8, 10, 9, 9, 10, 8, 9, 9, 9, 8, 8, 9, 9, 8, 10, 9, 10, 9, 10, 8, 10, 8, 7, 10, 8, 9, 8, 10, 10, 8, 8, 9, 8, 8, 9, 8, 9, 8, 9, 9, 9, 9, 9, 8, 9, 9, 10, 8, 8, 8, 8, 9]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 82%|████████████████████████████████████        | 9/11 [04:19<00:57, 28.70s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[9, 9, 8, 8, 7, 9, 9, 9, 8, 9, 8, 8, 7, 9, 9, 8, 8, 8, 8, 7, 8, 7, 9, 10, 9, 9, 8, 9, 8, 9, 8, 8, 8, 8, 8, 9, 8, 8, 9, 9, 7, 8, 9, 9, 9, 8, 8, 8, 9, 10, 9, 8, 8, 9, 8, 9, 9, 9, 8, 9, 8, 9, 8, 9, 8, 10, 7, 8, 9, 9, 7, 9, 9, 9, 9, 7, 9, 8, 8, 9, 8, 9, 9, 8, 7, 9, 9, 8, 9, 9, 9, 8, 8, 8, 8, 10, 8, 9, 8, 10]\n",
      "[9, 10, 9, 9, 9, 10, 8, 8, 9, 7, 9, 10, 10, 9, 10, 9, 9, 9, 7, 10, 9, 9, 8, 8, 9, 9, 10, 8, 9, 7, 8, 10, 9, 8, 9, 9, 7, 9, 9, 8, 8, 8, 8, 8, 8, 8, 9, 9, 8, 8, 8, 8, 8, 9, 9, 9, 8, 8, 9, 9, 9, 7, 10, 9, 8, 10, 10, 10, 8, 9, 10, 9, 10, 10, 9, 9, 8, 9, 9, 8, 7, 8, 8, 8, 8, 8, 9, 8, 10, 8, 8, 10, 9, 9, 8, 8, 10, 8, 10, 10]\n",
      "[10, 10, 10, 9, 9, 9, 9, 8, 10, 10, 9, 10, 8, 9, 10, 8, 8, 9, 9, 8, 10, 9, 8, 8, 8, 10, 10, 7, 8, 9, 8, 10, 9, 9, 10, 9, 9, 9, 10, 9, 10, 9, 10, 9, 9, 10, 10, 9, 8, 8, 9, 9, 8, 8, 8, 9, 9, 7, 8, 8, 9, 9, 8, 9, 9, 8, 8, 10, 9, 7, 9, 9, 10, 9, 9, 9, 9, 9, 8, 8, 9, 8, 9, 10, 9, 9, 8, 10, 9, 10, 10, 9, 10, 9, 8, 8, 9, 10, 9, 8]\n",
      "[9, 8, 10, 9, 9, 7, 9, 9, 9, 10, 9, 8, 8, 8, 8, 8, 10, 9, 8, 9, 10, 8, 9, 9, 8, 9, 9, 8, 9, 9, 9, 10, 8, 9, 8, 10, 10, 8, 9, 8, 9, 10, 10, 8, 9, 7, 8, 9, 9, 10, 8, 10, 9, 9, 8, 8, 10, 9, 8, 9, 8, 8, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 8, 9, 9, 9, 8, 8, 10, 9, 9, 7, 9, 9, 8, 9, 9, 8, 9, 8, 10, 8, 10, 9, 9, 9]\n",
      "[10, 9, 9, 10, 8, 9, 10, 9, 9, 9, 8, 8, 9, 8, 7, 9, 8, 9, 9, 9, 8, 8, 8, 8, 8, 9, 8, 9, 8, 9, 9, 8, 8, 8, 8, 8, 9, 9, 9, 8, 9, 9, 8, 7, 8, 10, 8, 9, 10, 8, 9, 10, 9, 9, 9, 9, 8, 9, 8, 8, 10, 8, 8, 10, 8, 9, 9, 9, 8, 8, 8, 9, 9, 9, 10, 8, 7, 9, 9, 8, 10, 8, 8, 9, 9, 8, 8, 9, 10, 9, 9, 8, 10, 8, 8, 9, 8, 8, 9, 9]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 91%|███████████████████████████████████████    | 10/11 [04:47<00:28, 28.68s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[9, 8, 8, 8, 8, 9, 8, 8, 9, 8, 8, 8, 7, 9, 9, 8, 8, 9, 8, 9, 9, 8, 10, 9, 8, 8, 9, 9, 9, 9, 9, 8, 8, 9, 8, 9, 8, 8, 8, 9, 8, 8, 8, 9, 9, 7, 10, 8, 8, 8, 8, 10, 8, 8, 9, 9, 8, 9, 9, 9, 9, 8, 9, 9, 9, 9, 8, 8, 9, 8, 9, 9, 9, 10, 9, 9, 7, 7, 8, 10, 8, 9, 9, 8, 9, 8, 10, 8, 9, 10, 8, 8, 8, 10, 10, 8, 10, 8, 8, 8]\n",
      "[8, 9, 10, 9, 9, 8, 9, 8, 9, 8, 8, 10, 8, 8, 9, 9, 8, 8, 9, 8, 8, 8, 7, 9, 8, 9, 9, 10, 9, 8, 8, 10, 8, 10, 9, 8, 8, 9, 9, 8, 8, 9, 8, 9, 10, 8, 9, 9, 8, 8, 9, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 9, 7, 9, 9, 9, 9, 9, 10, 9, 9, 9, 9, 8, 9, 10, 8, 8, 9, 8, 7, 9, 9, 9, 9, 9, 8, 9, 8, 10, 7, 8, 8, 9, 9, 10, 9, 9, 9, 9]\n",
      "[10, 9, 8, 9, 8, 9, 9, 8, 9, 8, 10, 8, 10, 7, 10, 10, 8, 9, 9, 9, 8, 9, 9, 9, 9, 8, 7, 9, 9, 9, 8, 10, 10, 8, 8, 9, 9, 9, 9, 8, 9, 8, 8, 10, 10, 7, 8, 10, 8, 9, 9, 9, 8, 9, 9, 8, 8, 9, 7, 10, 8, 8, 8, 9, 10, 8, 10, 10, 10, 9, 10, 8, 9, 9, 9, 8, 9, 10, 7, 9, 8, 9, 9, 7, 10, 10, 9, 10, 9, 9, 9, 8, 10, 8, 8, 8, 8, 8, 9, 9]\n",
      "[9, 9, 7, 8, 9, 8, 9, 9, 10, 7, 7, 9, 9, 9, 10, 8, 7, 9, 8, 9, 8, 9, 8, 9, 10, 9, 10, 8, 9, 10, 9, 9, 8, 9, 9, 9, 10, 10, 9, 7, 7, 9, 9, 8, 8, 8, 10, 10, 8, 9, 9, 10, 9, 10, 8, 10, 9, 9, 8, 9, 9, 9, 7, 9, 10, 9, 8, 8, 8, 10, 9, 9, 10, 8, 9, 10, 8, 8, 8, 9, 10, 9, 10, 9, 8, 9, 9, 9, 9, 9, 8, 8, 9, 8, 9, 9, 8, 8, 10, 10]\n",
      "[8, 8, 10, 9, 8, 9, 10, 8, 9, 9, 8, 9, 9, 8, 9, 8, 7, 8, 8, 8, 10, 9, 8, 9, 10, 9, 9, 9, 10, 9, 8, 10, 9, 9, 8, 9, 8, 9, 10, 9, 10, 9, 8, 8, 8, 8, 8, 9, 8, 9, 9, 9, 8, 7, 10, 10, 8, 8, 9, 8, 8, 9, 9, 8, 9, 9, 9, 8, 9, 9, 10, 9, 8, 9, 8, 9, 9, 9, 9, 8, 9, 8, 8, 10, 10, 10, 8, 10, 9, 10, 9, 9, 8, 8, 9, 9, 9, 9, 9, 9]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████| 11/11 [05:16<00:00, 28.77s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[10, 8, 8, 9, 9, 10, 10, 10, 9, 9, 9, 10, 8, 9, 9, 9, 8, 8, 9, 8, 8, 10, 8, 8, 9, 10, 8, 8, 10, 9, 9, 10, 8, 9, 9, 8, 7, 8, 10, 9, 9, 9, 9, 8, 8, 8, 9, 10, 8, 9, 9, 9, 8, 8, 9, 9, 8, 8, 8, 9, 9, 9, 8, 10, 8, 8, 8, 9, 9, 9, 8, 8, 9, 9, 8, 8, 9, 9, 9, 9, 8, 9, 10, 9, 10, 9, 9, 9, 9, 10, 9, 9, 9, 10, 9, 8, 7, 9, 8, 8]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "import tqdm \n",
    "\n",
    "values = [[0 for j in range(len(possible_noise))] for i in range(len(possible_kernel))]\n",
    "\n",
    "for i in tqdm.tqdm(range(len(possible_kernel))):\n",
    "    for j in range(len(possible_noise)):\n",
    "        values[i][j] = count_different_centers_wrap(num=100, noise_weight=possible_noise[j], \n",
    "                                                    svgd_repulsive_weight=possible_kernel[i])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "90355670",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 504x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "values_reversed = list(reversed([list(reversed(v)) for v in values]))\n",
    "\n",
    "plt.rcParams[\"figure.figsize\"] = (7,6)\n",
    "fig, ax = plt.subplots()\n",
    "im = ax.imshow(values_reversed)\n",
    "\n",
    "# Add colorbar\n",
    "ax.set_xticks(np.arange(len(possible_noise)), labels = [f'{s:.3}' for s in list(reversed(possible_noise))])\n",
    "ax.set_yticks(np.arange(len(possible_kernel)), labels=[f'{s:.3}' for s in list(reversed(possible_kernel))])\n",
    "ax.figure.colorbar(im, ax=ax)\n",
    "\n",
    "plt.title(\"Values\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "52d5b845",
   "metadata": {},
   "source": [
    "## Radial kernel particle guidance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "id": "eb9d712d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "10.0"
      ]
     },
     "execution_count": 135,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 450x450 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "centers = np.asarray([(x,y) for x,y in zip(cx,cy)])\n",
    "\n",
    "def radial_particle_reverse_diffusion(N, steps=1000, max_sigma2=1, min_sigma2=0.001, \n",
    "                               svgd_score_weight=2, svgd_repulsive_weight=100, kernel_size=0.001, noise_weight=1):\n",
    "    t_schedule = np.exp(np.linspace(np.log(min_sigma2), np.log(max_sigma2), steps))\n",
    "    x = np.random.normal(0, np.sqrt(max_sigma2), (N, 2))\n",
    "    list_samples = [x]\n",
    "    \n",
    "    for i in range(steps, 0, -1):\n",
    "        var = t_schedule[i-1]\n",
    "        d_sigma2 = t_schedule[i-1] - t_schedule[i-2] if i > 1 else t_schedule[i-1]\n",
    "        score_x = score(centers, x[:, 0], x[:, 1], t_schedule[i-1] + sigma2).T\n",
    "        \n",
    "        rad = np.angle(x[:, 0] + 1j* x[:, 1])\n",
    "        diff = np.mod(rad[:, None] - rad[None, :] + 3 * np.pi, 2 * np.pi) - np.pi\n",
    "        #print(diff)\n",
    "        d2_matrix = diff*diff\n",
    "        #print(d2_matrix.shape)\n",
    "        #med2 = np.median(d2_matrix, axis=1, keepdims=True)[0]\n",
    "        h = np.pi * np.sqrt(var) #* med2 / max(np.log(N), 1)\n",
    "        k = np.exp(-1 / h * d2_matrix)\n",
    "        \n",
    "        \n",
    "        repulsive = np.sum(2 / h * diff * k, axis=1) / N #/ np.sqrt(var)\n",
    "        z = np.random.normal(0, 1, (N,2))\n",
    "        perturb_x = d_sigma2 * svgd_score_weight * score_x + noise_weight * np.sqrt(d_sigma2) * z\n",
    "        #print(score_x, repulsive)\n",
    "        rot_angle = repulsive * d_sigma2 * svgd_repulsive_weight\n",
    "        rot_mat = np.moveaxis(np.asarray([[np.cos(rot_angle), -np.sin(rot_angle)], [np.sin(rot_angle), np.cos(rot_angle)]]), -1, 0)\n",
    "        #print(rot_angle.shape, score_x.shape, rot_mat.shape)\n",
    "        x = np.einsum('ijk,ik->ij', rot_mat, x)\n",
    "        x = x + perturb_x\n",
    "        list_samples.append(x)\n",
    "        #print(x)\n",
    "    \n",
    "    return list_samples, t_schedule\n",
    "\n",
    "steps = 200\n",
    "radial_particle_list_samples, t_schedule = radial_particle_reverse_diffusion(10, steps, svgd_score_weight=1, svgd_repulsive_weight=1000, kernel_size=0.001, noise_weight=1)\n",
    "list_samples, t_schedule = radial_particle_reverse_diffusion(10, steps, svgd_score_weight=1, svgd_repulsive_weight=0, kernel_size=0.001, noise_weight=1)\n",
    "figure_func(-1, radial_particle_list_samples)\n",
    "radial_count_different_centers_wrap(svgd_score_weight=1, svgd_repulsive_weight=1000, kernel_size=0.001, noise_weight=0.1, num=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "44a82f99",
   "metadata": {},
   "outputs": [],
   "source": [
    "def radial_count_different_centers_wrap(svgd_score_weight=1, svgd_repulsive_weight=1, kernel_size=0.001, noise_weight=1, num=1):\n",
    "    vals = []\n",
    "    for i in range(num):\n",
    "        x = radial_particle_reverse_diffusion(N=10, steps=200, svgd_score_weight=svgd_score_weight, \n",
    "                                       svgd_repulsive_weight=svgd_repulsive_weight, noise_weight=noise_weight, kernel_size=kernel_size)[0][-1]\n",
    "        v = count_different_centers(x, centers)\n",
    "        vals.append(v)\n",
    "    print(vals)\n",
    "    return sum(vals) / num"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "4c59df1c",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "  0%|                                                    | 0/11 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[5, 7, 6, 8, 7, 6, 5, 7, 6, 5, 8, 6, 8, 7, 6, 7, 6, 7, 6, 8, 8, 5, 6, 7, 7, 7, 4, 7, 7, 6, 5, 7, 7, 6, 6, 7, 6, 6, 7, 7, 6, 8, 7, 8, 7, 5, 7, 6, 6, 6, 7, 6, 6, 7, 6, 5, 4, 7, 7, 7, 6, 6, 6, 8, 6, 7, 6, 7, 6, 8, 5, 7, 7, 7, 5, 8, 6, 6, 6, 7, 6, 4, 7, 5, 7, 5, 8, 6, 6, 5, 6, 8, 6, 6, 5, 6, 6, 6, 6, 8]\n",
      "[5, 6, 6, 7, 7, 8, 6, 6, 5, 7, 5, 7, 7, 7, 5, 8, 8, 8, 6, 5, 6, 8, 7, 7, 6, 6, 5, 7, 8, 6, 6, 8, 6, 7, 6, 6, 5, 9, 6, 7, 6, 5, 5, 7, 3, 6, 5, 7, 7, 7, 5, 7, 8, 7, 5, 6, 4, 4, 7, 7, 6, 8, 6, 6, 7, 6, 6, 7, 6, 7, 8, 6, 6, 8, 7, 7, 6, 6, 6, 7, 7, 5, 7, 9, 7, 7, 6, 6, 6, 7, 7, 6, 5, 6, 7, 7, 7, 6, 5, 8]\n",
      "[8, 4, 8, 5, 6, 8, 7, 6, 7, 8, 7, 7, 6, 6, 7, 7, 6, 8, 5, 7, 6, 6, 7, 8, 5, 6, 6, 6, 7, 8, 7, 7, 6, 7, 7, 6, 7, 6, 6, 6, 5, 7, 5, 7, 7, 6, 6, 8, 8, 7, 5, 8, 7, 7, 7, 6, 6, 8, 7, 6, 8, 8, 7, 6, 7, 6, 8, 5, 5, 6, 7, 7, 6, 5, 7, 7, 8, 6, 8, 7, 6, 7, 5, 7, 5, 6, 5, 6, 6, 6, 5, 6, 7, 7, 9, 7, 6, 5, 7, 6]\n",
      "[6, 7, 7, 7, 4, 7, 6, 8, 7, 5, 7, 6, 6, 7, 7, 7, 6, 7, 8, 5, 5, 7, 6, 6, 8, 7, 7, 8, 6, 7, 7, 6, 6, 8, 5, 8, 7, 6, 7, 7, 8, 6, 6, 6, 8, 6, 5, 5, 7, 6, 9, 8, 6, 6, 6, 7, 6, 5, 9, 5, 7, 6, 6, 7, 7, 6, 6, 6, 7, 8, 4, 7, 8, 5, 7, 7, 7, 5, 7, 6, 7, 5, 6, 8, 7, 6, 6, 5, 6, 6, 6, 7, 4, 7, 7, 6, 7, 7, 6, 6]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "  9%|████                                        | 1/11 [00:27<04:30, 27.10s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[6, 7, 7, 7, 6, 6, 7, 6, 6, 7, 7, 6, 6, 8, 7, 7, 5, 7, 8, 8, 6, 5, 7, 7, 6, 5, 8, 6, 6, 6, 5, 7, 7, 7, 6, 6, 6, 7, 6, 7, 7, 5, 8, 6, 6, 5, 5, 5, 6, 6, 6, 7, 5, 6, 7, 7, 6, 7, 6, 5, 6, 6, 5, 8, 6, 7, 6, 6, 4, 6, 7, 7, 6, 6, 5, 7, 6, 8, 6, 6, 6, 5, 6, 6, 7, 8, 6, 7, 5, 6, 7, 7, 5, 7, 7, 4, 8, 4, 5, 6]\n",
      "[5, 5, 7, 7, 6, 6, 6, 7, 7, 6, 6, 9, 8, 6, 6, 7, 6, 7, 4, 7, 7, 7, 7, 6, 6, 7, 8, 7, 6, 5, 5, 7, 7, 7, 6, 6, 8, 5, 6, 7, 6, 6, 6, 7, 7, 6, 9, 5, 8, 6, 7, 6, 7, 5, 8, 9, 7, 7, 7, 7, 5, 6, 6, 9, 8, 6, 7, 6, 5, 7, 6, 6, 8, 7, 5, 8, 6, 6, 6, 7, 7, 6, 5, 8, 6, 7, 7, 4, 6, 6, 6, 6, 6, 6, 7, 9, 8, 7, 5, 8]\n",
      "[7, 8, 6, 6, 7, 7, 7, 7, 5, 7, 6, 6, 5, 7, 7, 7, 6, 6, 7, 5, 7, 5, 7, 6, 8, 6, 8, 6, 5, 7, 7, 7, 7, 6, 7, 6, 7, 7, 6, 7, 7, 7, 5, 6, 7, 8, 7, 6, 7, 5, 6, 7, 7, 5, 6, 8, 7, 5, 7, 8, 7, 8, 7, 6, 4, 6, 8, 6, 7, 8, 8, 8, 6, 5, 7, 6, 6, 7, 5, 7, 6, 4, 5, 6, 8, 7, 6, 8, 6, 6, 8, 6, 5, 9, 6, 7, 7, 6, 6, 5]\n",
      "[8, 8, 6, 6, 7, 8, 7, 6, 7, 8, 8, 5, 6, 7, 8, 6, 7, 7, 8, 7, 5, 6, 6, 7, 7, 8, 6, 6, 7, 6, 6, 7, 8, 6, 7, 7, 8, 4, 6, 8, 7, 7, 8, 7, 6, 6, 7, 7, 6, 7, 5, 8, 7, 6, 6, 5, 6, 5, 7, 6, 6, 6, 4, 7, 6, 6, 8, 6, 5, 6, 6, 7, 5, 6, 5, 7, 6, 7, 7, 6, 6, 7, 8, 4, 7, 7, 6, 7, 6, 6, 6, 5, 6, 8, 6, 6, 4, 6, 7, 8]\n",
      "[9, 6, 7, 6, 8, 7, 7, 7, 8, 8, 8, 7, 7, 9, 7, 6, 6, 6, 7, 7, 6, 7, 6, 8, 6, 7, 7, 7, 8, 6, 6, 6, 6, 6, 8, 6, 5, 7, 6, 7, 6, 7, 7, 7, 7, 7, 6, 7, 5, 5, 6, 8, 6, 6, 6, 6, 9, 8, 7, 6, 7, 7, 7, 5, 7, 5, 7, 6, 7, 8, 7, 6, 5, 7, 7, 5, 7, 7, 8, 6, 6, 6, 8, 8, 8, 6, 7, 5, 8, 6, 7, 5, 7, 6, 9, 6, 6, 7, 5, 6]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 18%|████████                                    | 2/11 [00:54<04:04, 27.17s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[8, 6, 6, 6, 7, 6, 7, 6, 7, 7, 5, 8, 7, 8, 4, 6, 6, 6, 6, 6, 5, 6, 7, 5, 6, 5, 6, 7, 6, 7, 7, 6, 8, 8, 7, 8, 8, 6, 5, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 6, 6, 5, 7, 6, 5, 7, 7, 8, 6, 7, 5, 6, 6, 6, 7, 6, 5, 7, 7, 6, 6, 5, 7, 6, 7, 6, 6, 6, 5, 5, 8, 5, 7, 8, 8, 6, 6, 6, 8, 7, 5, 7, 7, 7, 7, 7, 7, 8]\n",
      "[5, 7, 8, 6, 7, 7, 7, 7, 6, 7, 6, 6, 6, 6, 6, 8, 6, 7, 6, 6, 7, 6, 8, 6, 8, 7, 4, 7, 7, 6, 5, 6, 6, 7, 6, 7, 5, 5, 6, 7, 7, 6, 6, 6, 6, 5, 5, 7, 6, 6, 6, 5, 8, 8, 8, 7, 7, 6, 7, 5, 5, 5, 9, 7, 6, 8, 7, 5, 7, 7, 5, 7, 6, 7, 7, 7, 7, 6, 5, 6, 7, 6, 6, 6, 7, 8, 8, 5, 5, 6, 8, 6, 7, 6, 7, 6, 6, 8, 5, 6]\n",
      "[6, 7, 6, 6, 7, 7, 7, 6, 8, 6, 7, 5, 6, 7, 6, 9, 8, 6, 6, 8, 7, 7, 5, 6, 7, 7, 8, 6, 6, 7, 7, 7, 5, 5, 8, 8, 7, 5, 6, 7, 7, 5, 8, 7, 8, 6, 5, 6, 5, 6, 7, 8, 8, 6, 7, 5, 7, 5, 6, 7, 5, 7, 7, 7, 6, 7, 7, 6, 6, 4, 7, 6, 6, 8, 8, 7, 6, 8, 6, 8, 5, 6, 6, 6, 6, 7, 8, 6, 7, 6, 7, 4, 5, 7, 5, 7, 6, 6, 6, 7]\n",
      "[7, 7, 6, 6, 7, 8, 8, 5, 5, 6, 6, 6, 5, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8, 5, 8, 7, 5, 8, 7, 6, 7, 5, 6, 6, 6, 7, 6, 7, 5, 7, 6, 7, 7, 6, 7, 7, 7, 5, 6, 6, 5, 5, 6, 6, 6, 4, 7, 8, 6, 6, 8, 6, 6, 7, 6, 8, 7, 5, 7, 6, 7, 7, 7, 7, 7, 6, 7, 6, 7, 6, 8, 7, 6, 8, 6, 7, 9, 5, 5, 6, 7, 6, 6, 7, 6, 5, 8, 7, 5, 6]\n",
      "[6, 6, 8, 7, 7, 5, 8, 7, 6, 8, 5, 6, 7, 6, 6, 7, 5, 7, 6, 8, 6, 7, 6, 6, 6, 6, 8, 6, 7, 6, 7, 6, 6, 7, 7, 8, 6, 8, 7, 6, 6, 8, 6, 5, 5, 7, 6, 6, 7, 6, 8, 7, 7, 6, 8, 5, 6, 6, 6, 7, 6, 7, 6, 7, 8, 6, 4, 7, 7, 8, 7, 5, 7, 7, 6, 8, 8, 7, 8, 6, 7, 8, 5, 5, 6, 7, 5, 6, 5, 8, 7, 8, 7, 6, 6, 7, 7, 6, 8, 5]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 27%|████████████                                | 3/11 [01:21<03:37, 27.14s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[6, 7, 6, 4, 6, 7, 5, 7, 6, 5, 7, 8, 8, 6, 7, 6, 7, 8, 7, 7, 5, 7, 6, 6, 5, 6, 7, 7, 8, 7, 7, 7, 7, 7, 8, 7, 6, 5, 7, 6, 7, 7, 7, 6, 7, 7, 6, 8, 7, 6, 7, 6, 7, 7, 8, 7, 6, 7, 7, 5, 7, 5, 6, 8, 7, 7, 7, 6, 6, 8, 6, 6, 6, 7, 5, 6, 7, 8, 5, 6, 7, 6, 6, 5, 7, 6, 6, 8, 7, 7, 8, 5, 6, 6, 7, 7, 5, 6, 6, 6]\n",
      "[7, 7, 7, 8, 7, 6, 7, 6, 9, 8, 8, 6, 6, 6, 5, 8, 6, 7, 6, 7, 8, 7, 6, 6, 5, 7, 6, 6, 8, 6, 7, 6, 6, 7, 6, 7, 6, 6, 7, 6, 7, 7, 5, 7, 6, 7, 7, 6, 6, 6, 7, 7, 9, 8, 6, 8, 6, 7, 8, 6, 6, 7, 6, 7, 7, 6, 6, 8, 6, 7, 6, 7, 8, 7, 8, 6, 5, 8, 7, 5, 7, 6, 6, 8, 5, 7, 8, 7, 6, 6, 6, 6, 7, 7, 7, 8, 7, 6, 6, 4]\n",
      "[7, 7, 5, 7, 7, 8, 7, 7, 7, 6, 8, 5, 8, 7, 5, 6, 6, 6, 8, 6, 6, 7, 7, 6, 5, 6, 7, 7, 7, 6, 5, 7, 6, 7, 7, 7, 7, 5, 8, 6, 6, 6, 6, 7, 7, 7, 6, 7, 7, 8, 7, 8, 5, 6, 7, 5, 9, 7, 6, 6, 7, 5, 6, 7, 8, 5, 7, 7, 9, 7, 8, 7, 8, 8, 8, 6, 7, 9, 6, 6, 7, 4, 6, 6, 8, 6, 7, 7, 7, 7, 7, 7, 5, 7, 7, 9, 8, 6, 7, 7]\n",
      "[5, 5, 7, 6, 5, 7, 6, 7, 7, 6, 7, 6, 7, 6, 7, 5, 5, 8, 5, 5, 6, 7, 6, 7, 6, 8, 6, 6, 6, 8, 5, 8, 7, 7, 6, 6, 6, 7, 7, 8, 7, 5, 6, 7, 8, 7, 7, 6, 7, 6, 7, 5, 6, 8, 7, 6, 7, 8, 4, 8, 6, 6, 9, 6, 6, 6, 6, 7, 8, 6, 9, 7, 6, 7, 7, 8, 8, 5, 6, 5, 6, 5, 7, 7, 8, 6, 6, 7, 6, 5, 6, 7, 6, 7, 7, 8, 6, 5, 5, 7]\n",
      "[5, 6, 7, 7, 6, 7, 7, 8, 8, 4, 7, 6, 8, 6, 6, 6, 6, 6, 6, 5, 6, 6, 6, 5, 6, 8, 7, 7, 6, 7, 7, 7, 6, 6, 6, 8, 7, 7, 6, 6, 7, 7, 5, 8, 7, 8, 6, 7, 5, 6, 6, 7, 7, 6, 6, 6, 5, 6, 6, 6, 7, 6, 6, 6, 8, 7, 8, 6, 7, 8, 6, 6, 7, 8, 7, 6, 6, 6, 8, 6, 7, 8, 6, 6, 5, 6, 8, 7, 7, 5, 8, 5, 7, 6, 8, 6, 5, 8, 6, 6]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 36%|████████████████                            | 4/11 [01:48<03:10, 27.19s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[6, 6, 6, 7, 6, 6, 8, 8, 5, 7, 7, 7, 7, 6, 7, 6, 6, 6, 6, 6, 7, 6, 5, 6, 7, 6, 6, 5, 6, 6, 7, 8, 6, 7, 7, 8, 7, 6, 7, 5, 8, 7, 8, 6, 6, 6, 7, 7, 7, 7, 6, 6, 8, 6, 6, 6, 6, 6, 7, 5, 7, 7, 8, 6, 6, 7, 6, 7, 5, 5, 7, 6, 7, 7, 5, 6, 8, 7, 6, 6, 5, 4, 5, 9, 7, 7, 6, 6, 8, 7, 5, 8, 6, 7, 6, 7, 7, 9, 6, 6]\n",
      "[7, 8, 6, 7, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 5, 7, 8, 7, 7, 6, 5, 7, 7, 7, 7, 7, 8, 8, 7, 6, 6, 6, 7, 7, 8, 6, 6, 7, 8, 8, 8, 7, 7, 6, 7, 7, 6, 9, 5, 6, 6, 6, 8, 6, 7, 6, 6, 7, 7, 8, 7, 8, 7, 6, 7, 6, 7, 7, 7, 7, 8, 7, 7, 8, 8, 9, 8, 6, 8, 5, 7, 7, 8, 6, 6, 6, 6, 8, 7, 6, 6, 8, 7, 7, 8, 8, 5, 7, 6, 7]\n",
      "[8, 6, 6, 6, 7, 8, 7, 7, 8, 5, 8, 5, 7, 8, 7, 6, 6, 5, 6, 5, 7, 8, 5, 7, 6, 6, 8, 6, 6, 7, 7, 8, 7, 7, 4, 6, 6, 8, 6, 7, 7, 6, 7, 8, 9, 7, 6, 7, 9, 6, 7, 7, 8, 6, 8, 8, 7, 8, 6, 7, 6, 6, 7, 6, 6, 7, 8, 7, 6, 7, 6, 6, 7, 6, 6, 8, 8, 8, 6, 8, 6, 7, 6, 7, 7, 7, 5, 8, 6, 7, 7, 7, 7, 7, 6, 7, 7, 9, 6, 7]\n",
      "[7, 7, 7, 6, 6, 7, 6, 7, 6, 6, 5, 7, 7, 8, 7, 7, 6, 7, 7, 4, 8, 6, 6, 8, 6, 7, 6, 7, 6, 6, 6, 7, 8, 6, 7, 7, 7, 6, 7, 8, 6, 7, 6, 7, 7, 7, 5, 7, 7, 8, 6, 7, 6, 7, 7, 7, 7, 7, 5, 7, 6, 7, 6, 6, 7, 7, 8, 6, 8, 7, 8, 7, 8, 6, 7, 7, 6, 6, 7, 7, 7, 7, 6, 6, 8, 8, 5, 8, 7, 7, 6, 7, 7, 6, 9, 6, 7, 6, 6, 7]\n",
      "[6, 7, 8, 4, 7, 6, 7, 6, 7, 7, 7, 6, 6, 7, 7, 6, 7, 6, 7, 7, 7, 5, 7, 7, 7, 7, 7, 6, 8, 7, 5, 7, 6, 7, 6, 7, 7, 6, 6, 6, 8, 8, 6, 6, 6, 8, 7, 8, 6, 5, 8, 8, 6, 7, 6, 7, 9, 8, 8, 7, 7, 5, 6, 6, 6, 7, 7, 8, 8, 6, 8, 7, 6, 6, 7, 7, 7, 8, 9, 6, 7, 6, 7, 8, 6, 5, 7, 9, 7, 6, 7, 5, 7, 7, 8, 6, 8, 6, 8, 5]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 45%|████████████████████                        | 5/11 [02:16<02:44, 27.34s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[6, 6, 3, 7, 7, 8, 7, 8, 8, 7, 6, 6, 7, 7, 7, 6, 6, 7, 7, 7, 7, 9, 7, 7, 7, 6, 7, 8, 7, 6, 5, 7, 6, 9, 7, 8, 6, 6, 6, 7, 7, 7, 7, 7, 6, 7, 7, 7, 7, 7, 8, 8, 7, 7, 8, 7, 6, 6, 7, 6, 8, 8, 7, 6, 6, 8, 7, 7, 8, 6, 6, 7, 8, 8, 8, 6, 7, 6, 6, 7, 6, 5, 7, 7, 6, 8, 7, 6, 6, 7, 6, 6, 8, 7, 7, 7, 6, 4, 7, 8]\n",
      "[7, 8, 7, 6, 6, 7, 9, 8, 9, 8, 8, 7, 9, 9, 6, 5, 6, 7, 6, 8, 8, 7, 7, 7, 7, 6, 7, 7, 8, 8, 7, 9, 6, 6, 6, 8, 8, 8, 8, 8, 6, 9, 7, 7, 7, 8, 8, 9, 7, 7, 7, 9, 8, 6, 9, 8, 8, 9, 7, 5, 7, 6, 7, 8, 7, 8, 8, 7, 8, 8, 7, 9, 7, 8, 7, 6, 9, 8, 7, 8, 8, 7, 6, 6, 7, 9, 8, 8, 8, 9, 8, 9, 6, 6, 7, 7, 7, 6, 9, 6]\n",
      "[8, 7, 8, 7, 7, 6, 7, 8, 8, 8, 8, 7, 8, 8, 7, 6, 7, 7, 9, 7, 7, 6, 9, 5, 6, 8, 6, 8, 7, 7, 7, 7, 8, 8, 8, 7, 7, 9, 7, 7, 7, 7, 6, 8, 7, 6, 8, 7, 7, 6, 6, 6, 6, 8, 9, 6, 6, 7, 8, 6, 8, 8, 7, 7, 8, 7, 7, 9, 8, 9, 7, 7, 7, 8, 6, 6, 8, 6, 7, 7, 8, 6, 7, 6, 9, 8, 8, 7, 8, 6, 8, 10, 7, 8, 6, 8, 7, 7, 8, 7]\n",
      "[9, 10, 7, 8, 6, 8, 8, 7, 8, 6, 8, 8, 6, 7, 8, 7, 8, 7, 9, 8, 8, 6, 6, 8, 7, 9, 7, 8, 8, 8, 8, 8, 7, 9, 7, 7, 9, 8, 7, 7, 9, 7, 7, 9, 8, 8, 6, 7, 6, 9, 7, 6, 6, 7, 7, 8, 8, 7, 7, 8, 5, 8, 8, 6, 7, 7, 7, 7, 8, 9, 8, 8, 6, 7, 9, 8, 7, 9, 6, 8, 7, 7, 8, 8, 6, 5, 7, 7, 8, 8, 9, 6, 7, 8, 8, 9, 7, 6, 7, 7]\n",
      "[5, 6, 7, 7, 7, 5, 7, 7, 8, 7, 7, 8, 7, 7, 6, 8, 6, 8, 7, 6, 7, 7, 7, 9, 7, 7, 8, 5, 8, 8, 7, 8, 8, 8, 7, 8, 7, 8, 6, 9, 7, 7, 7, 8, 7, 7, 6, 8, 6, 8, 6, 7, 6, 7, 7, 8, 8, 7, 6, 7, 7, 8, 7, 6, 7, 7, 8, 7, 7, 6, 7, 7, 7, 9, 7, 7, 7, 6, 6, 7, 7, 4, 4, 8, 7, 5, 9, 7, 8, 6, 7, 8, 7, 8, 7, 7, 8, 6, 8, 8]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 55%|████████████████████████                    | 6/11 [02:43<02:16, 27.33s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[6, 8, 7, 8, 7, 6, 8, 5, 7, 6, 8, 7, 8, 4, 8, 7, 7, 7, 7, 7, 6, 6, 8, 9, 8, 7, 7, 6, 6, 7, 7, 7, 7, 7, 7, 8, 7, 8, 6, 9, 8, 8, 9, 7, 7, 7, 6, 6, 7, 9, 6, 6, 6, 7, 7, 6, 6, 7, 6, 5, 6, 7, 7, 8, 7, 8, 8, 7, 6, 6, 7, 7, 6, 7, 7, 6, 7, 7, 7, 8, 7, 6, 7, 8, 7, 7, 6, 6, 6, 7, 8, 7, 6, 7, 7, 6, 7, 7, 8, 7]\n",
      "[6, 10, 8, 8, 7, 8, 9, 9, 8, 7, 7, 8, 9, 7, 9, 8, 8, 7, 6, 8, 10, 6, 8, 7, 7, 7, 9, 9, 8, 10, 6, 8, 8, 7, 9, 10, 9, 8, 6, 7, 9, 8, 9, 8, 7, 8, 8, 7, 9, 6, 10, 10, 9, 8, 8, 7, 9, 7, 8, 8, 10, 9, 9, 9, 8, 7, 6, 9, 8, 8, 6, 8, 6, 9, 6, 7, 9, 7, 10, 9, 9, 9, 8, 9, 8, 7, 7, 9, 10, 9, 10, 6, 9, 9, 6, 8, 7, 7, 6, 9]\n",
      "[10, 9, 7, 6, 9, 9, 10, 7, 10, 8, 6, 9, 8, 6, 7, 8, 10, 8, 9, 8, 10, 9, 10, 9, 8, 8, 8, 7, 10, 8, 8, 7, 8, 9, 7, 10, 8, 7, 8, 10, 8, 7, 8, 7, 10, 8, 9, 9, 6, 8, 8, 8, 6, 7, 7, 7, 8, 7, 7, 7, 8, 6, 7, 8, 7, 8, 6, 9, 8, 8, 8, 6, 9, 9, 7, 10, 9, 8, 8, 8, 9, 8, 7, 8, 10, 9, 7, 9, 10, 9, 8, 8, 9, 7, 9, 8, 9, 10, 8, 10]\n",
      "[10, 10, 9, 8, 6, 8, 10, 8, 7, 7, 7, 6, 7, 7, 7, 7, 10, 10, 8, 9, 7, 6, 8, 10, 9, 8, 6, 10, 6, 7, 10, 8, 9, 7, 7, 10, 9, 7, 8, 9, 8, 8, 7, 6, 6, 6, 10, 10, 7, 10, 6, 6, 9, 7, 7, 7, 9, 8, 7, 8, 9, 10, 8, 7, 6, 7, 7, 8, 7, 6, 7, 8, 6, 7, 7, 10, 7, 10, 7, 8, 7, 8, 9, 8, 9, 8, 7, 8, 9, 7, 7, 6, 7, 5, 6, 6, 7, 9, 8, 7]\n",
      "[9, 7, 7, 6, 7, 7, 8, 7, 6, 8, 8, 8, 7, 8, 10, 8, 8, 8, 8, 9, 7, 6, 6, 8, 9, 9, 9, 9, 8, 9, 8, 9, 8, 9, 7, 8, 7, 8, 7, 8, 7, 8, 9, 6, 9, 6, 7, 7, 7, 7, 9, 6, 6, 9, 8, 7, 7, 7, 8, 8, 8, 6, 10, 7, 8, 8, 6, 8, 8, 8, 8, 6, 10, 8, 7, 7, 9, 8, 9, 7, 8, 8, 9, 9, 8, 7, 8, 6, 7, 7, 7, 8, 6, 7, 7, 9, 8, 7, 6, 8]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 64%|████████████████████████████                | 7/11 [03:11<01:49, 27.45s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[9, 7, 7, 7, 8, 9, 6, 7, 8, 6, 7, 6, 7, 6, 8, 9, 7, 7, 7, 8, 8, 7, 7, 9, 6, 8, 8, 8, 6, 7, 7, 7, 7, 9, 8, 8, 7, 7, 8, 9, 7, 8, 7, 8, 8, 7, 8, 8, 7, 8, 7, 7, 5, 7, 7, 7, 8, 7, 6, 8, 7, 8, 9, 8, 5, 8, 8, 8, 7, 7, 8, 7, 8, 7, 7, 7, 8, 5, 8, 8, 6, 7, 7, 8, 8, 7, 8, 8, 8, 9, 7, 9, 7, 8, 9, 7, 9, 6, 8, 9]\n",
      "[8, 10, 10, 9, 8, 10, 7, 10, 6, 8, 6, 6, 10, 9, 10, 7, 10, 8, 10, 8, 10, 10, 9, 7, 6, 9, 6, 8, 6, 10, 10, 6, 9, 8, 9, 9, 9, 6, 6, 10, 8, 9, 9, 10, 6, 10, 6, 5, 7, 6, 6, 10, 6, 10, 10, 5, 7, 9, 9, 9, 10, 6, 8, 7, 9, 9, 7, 7, 9, 10, 9, 6, 10, 10, 7, 10, 6, 6, 9, 6, 6, 6, 10, 8, 9, 10, 10, 7, 6, 9, 8, 9, 8, 6, 7, 9, 7, 10, 10, 8]\n",
      "[10, 8, 8, 10, 6, 7, 10, 6, 8, 8, 8, 6, 10, 10, 8, 8, 5, 7, 10, 6, 10, 10, 9, 9, 8, 9, 10, 6, 7, 9, 10, 6, 10, 6, 7, 9, 10, 9, 9, 6, 10, 6, 10, 7, 8, 8, 9, 10, 8, 6, 9, 7, 10, 9, 9, 8, 5, 10, 9, 10, 6, 7, 10, 10, 9, 7, 7, 10, 10, 6, 10, 7, 9, 9, 7, 7, 10, 8, 10, 7, 9, 10, 10, 10, 7, 7, 8, 6, 10, 9, 9, 6, 10, 10, 6, 8, 10, 10, 6, 8]\n",
      "[9, 10, 10, 10, 8, 10, 8, 10, 6, 9, 7, 6, 10, 8, 6, 10, 10, 8, 10, 10, 9, 10, 8, 7, 10, 6, 10, 10, 8, 8, 9, 9, 7, 9, 10, 6, 8, 8, 8, 8, 9, 6, 8, 7, 10, 7, 10, 7, 9, 10, 10, 10, 9, 7, 6, 10, 10, 10, 9, 9, 6, 9, 9, 10, 9, 10, 7, 7, 9, 8, 7, 6, 9, 8, 7, 7, 10, 8, 10, 8, 6, 10, 9, 9, 10, 10, 8, 8, 10, 10, 10, 10, 8, 10, 7, 8, 10, 9, 10, 9]\n",
      "[10, 8, 10, 10, 5, 6, 9, 9, 10, 8, 9, 8, 10, 10, 6, 10, 10, 8, 6, 8, 6, 9, 7, 8, 10, 10, 7, 9, 10, 9, 10, 8, 10, 9, 7, 8, 9, 6, 6, 7, 8, 10, 8, 8, 6, 6, 7, 9, 8, 8, 10, 8, 6, 10, 10, 9, 9, 7, 8, 8, 9, 8, 7, 8, 6, 9, 9, 10, 8, 9, 6, 9, 8, 7, 6, 8, 9, 10, 10, 8, 9, 10, 8, 10, 9, 6, 9, 10, 9, 8, 9, 9, 10, 10, 8, 6, 7, 8, 10, 8]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 73%|████████████████████████████████            | 8/11 [03:38<01:22, 27.35s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[7, 9, 8, 7, 9, 9, 8, 7, 7, 8, 9, 9, 9, 7, 7, 9, 8, 6, 8, 8, 9, 7, 9, 9, 9, 6, 7, 9, 8, 7, 9, 7, 7, 8, 6, 9, 9, 8, 10, 8, 8, 9, 9, 8, 10, 8, 9, 9, 9, 7, 7, 8, 9, 8, 9, 8, 7, 7, 8, 8, 8, 7, 7, 9, 7, 9, 8, 7, 7, 9, 7, 9, 9, 7, 9, 7, 9, 7, 8, 8, 8, 9, 8, 8, 10, 9, 7, 8, 9, 9, 7, 7, 7, 9, 10, 9, 9, 10, 8, 9]\n",
      "[10, 10, 5, 10, 10, 8, 8, 8, 10, 10, 10, 10, 6, 9, 8, 10, 10, 10, 6, 6, 10, 8, 10, 6, 10, 10, 8, 10, 8, 6, 10, 7, 10, 9, 10, 9, 10, 8, 9, 6, 8, 10, 10, 8, 9, 7, 6, 10, 6, 7, 6, 8, 7, 6, 6, 8, 8, 10, 10, 8, 8, 8, 6, 10, 7, 8, 10, 10, 10, 10, 10, 10, 8, 6, 8, 9, 10, 10, 7, 8, 10, 8, 9, 10, 10, 10, 6, 6, 10, 8, 10, 8, 8, 10, 10, 10, 7, 6, 6, 8]\n",
      "[8, 10, 10, 10, 10, 8, 9, 10, 7, 10, 8, 9, 8, 9, 10, 10, 10, 7, 6, 10, 10, 8, 10, 8, 10, 10, 10, 9, 8, 10, 6, 10, 10, 10, 8, 6, 10, 8, 8, 10, 10, 6, 7, 8, 7, 10, 10, 7, 8, 8, 9, 10, 6, 8, 10, 6, 10, 7, 10, 8, 9, 7, 6, 10, 6, 8, 9, 10, 7, 7, 10, 10, 10, 6, 9, 10, 10, 10, 6, 10, 7, 10, 8, 10, 10, 8, 6, 10, 9, 7, 8, 9, 6, 10, 8, 7, 9, 9, 10, 7]\n",
      "[10, 10, 6, 10, 10, 10, 10, 10, 7, 9, 7, 8, 10, 9, 10, 7, 10, 10, 10, 9, 9, 10, 6, 10, 10, 10, 9, 10, 8, 9, 10, 6, 10, 10, 8, 7, 10, 9, 8, 6, 10, 10, 9, 9, 9, 9, 8, 8, 7, 10, 10, 10, 7, 8, 10, 10, 8, 6, 10, 10, 10, 10, 7, 10, 10, 10, 8, 9, 9, 6, 8, 10, 8, 9, 9, 8, 8, 10, 7, 10, 10, 7, 10, 8, 8, 10, 10, 10, 10, 6, 6, 7, 6, 10, 10, 9, 9, 9, 10, 10]\n",
      "[10, 9, 10, 6, 8, 9, 8, 10, 10, 10, 10, 9, 10, 10, 8, 10, 10, 7, 7, 8, 10, 9, 10, 9, 8, 10, 6, 7, 8, 10, 10, 10, 9, 10, 10, 10, 6, 6, 10, 10, 9, 7, 9, 8, 10, 10, 9, 8, 10, 10, 6, 9, 9, 7, 8, 10, 10, 9, 8, 8, 8, 10, 7, 10, 10, 9, 10, 10, 8, 10, 8, 10, 9, 6, 10, 10, 10, 10, 8, 10, 8, 9, 9, 10, 9, 9, 8, 8, 10, 9, 8, 10, 10, 7, 8, 10, 8, 8, 10, 10]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 82%|████████████████████████████████████        | 9/11 [04:05<00:54, 27.24s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[10, 9, 9, 10, 9, 8, 7, 10, 10, 9, 10, 9, 10, 8, 9, 8, 9, 9, 10, 7, 10, 9, 9, 9, 8, 10, 10, 7, 10, 9, 9, 8, 9, 8, 10, 8, 7, 10, 7, 7, 8, 10, 8, 9, 8, 10, 10, 9, 10, 9, 8, 10, 8, 8, 9, 10, 9, 9, 9, 8, 10, 10, 10, 10, 9, 10, 10, 10, 10, 8, 9, 10, 8, 8, 10, 8, 10, 9, 9, 8, 10, 9, 9, 10, 8, 10, 10, 8, 9, 10, 10, 8, 10, 10, 8, 9, 10, 10, 9, 9]\n",
      "[10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10]\n",
      "[10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]\n",
      "[10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]\n",
      "[10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 10, 10, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 91%|███████████████████████████████████████    | 10/11 [04:32<00:27, 27.19s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[10, 9, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 9, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 8, 10, 10, 10, 10, 10, 10, 10, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]\n",
      "[10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]\n",
      "[10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]\n",
      "[10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]\n",
      "[10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|███████████████████████████████████████████| 11/11 [05:00<00:00, 27.29s/it]"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10]\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    }
   ],
   "source": [
    "import tqdm \n",
    "\n",
    "radial_values = [[0 for j in range(len(possible_noise))] for i in range(len(possible_kernel))]\n",
    "for i in tqdm.tqdm(range(len(possible_kernel))):\n",
    "    for j in range(len(possible_noise)):\n",
    "        radial_values[i][j] = radial_count_different_centers_wrap(num=100, noise_weight=possible_noise[j], \n",
    "                                                    svgd_repulsive_weight=possible_kernel[i])\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "id": "d06d3844",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 576x432 with 3 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "radial_values_reversed = list(reversed([list(reversed(v)) for v in radial_values]))\n",
    "\n",
    "plt.rcParams[\"figure.figsize\"] = (8,6)\n",
    "fig, ax = plt.subplots(1, 2)\n",
    "\n",
    "# Add colorbar\n",
    "im = ax[1].imshow(radial_values_reversed, vmin=6.3, vmax=10, aspect='auto')\n",
    "ax[1].set_xlabel(\"Noise weight\", fontsize=14)\n",
    "ax[1].set_xticks(np.arange(0, len(possible_noise), 2), labels = [f'{s:.3}' for s in list(reversed(possible_noise[::2]))], fontsize=14)\n",
    "ax[1].set_yticks([])\n",
    "ax[1].set_title(\"Cyclical kernel\", fontsize=14)\n",
    "\n",
    "values_reversed = list(reversed([list(reversed(v)) for v in values]))\n",
    "im = ax[0].imshow(values_reversed, vmin=6.3, vmax=10, aspect='auto')\n",
    "ax[0].set_xticks(np.arange(0, len(possible_noise), 2), labels = [f'{s:.3}' for s in list(reversed(possible_noise[::2]))], fontsize=14)\n",
    "ax[0].set_yticks(np.arange(0, len(possible_kernel), 2), labels=[f'{s:.3}' for s in list(reversed(possible_kernel[::2]))], fontsize=14)\n",
    "ax[0].set_ylabel(\"Repulsion weight\", fontsize=14)\n",
    "ax[0].set_xlabel(\"Noise weight\", fontsize=14)\n",
    "ax[0].set_title(\"Euclidean kernel\", fontsize=14)\n",
    "\n",
    "#ax[0].add_patch(plt.Circle((0.02, 10.04), radius=0.15, color='red'))\n",
    "\n",
    "cbar_ax = fig.add_axes([0.95, 0.15, 0.05, 0.7])\n",
    "cbar = fig.colorbar(im, cax=cbar_ax)\n",
    "for t in cbar.ax.get_yticklabels():\n",
    "     t.set_fontsize(14)\n",
    "plt.savefig('2d_efficiency.png')\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "bca26b9d",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "confgen",
   "language": "python",
   "name": "confgen"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.7"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}