Orb.ipynb

{
  "nbformat": 4,
  "nbformat_minor": 5,
  "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": "3.7.4"
    },
    "colab": {
      "name": "Orb.ipynb",
      "provenance": []
    }
  },
  "cells": [
    {
      "cell_type": "code",
      "metadata": {
        "id": "f094d7ca"
      },
      "source": [
        "import cv2\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "import glob"
      ],
      "id": "f094d7ca",
      "execution_count": 155,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "742tKpUoeZH8",
        "outputId": "487f4cd2-9370-46a8-9165-f7664a6b8a20"
      },
      "source": [
        "!pip install opencv-contrib-python==3.4.2.17"
      ],
      "id": "742tKpUoeZH8",
      "execution_count": 156,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Requirement already satisfied: opencv-contrib-python==3.4.2.17 in /usr/local/lib/python3.7/dist-packages (3.4.2.17)\n",
            "Requirement already satisfied: numpy>=1.14.5 in /usr/local/lib/python3.7/dist-packages (from opencv-contrib-python==3.4.2.17) (1.19.5)\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "_Ocm5Z-kecdi",
        "outputId": "797153b4-e4d5-4127-a6e0-a0441361324a"
      },
      "source": [
        "from google.colab import drive\n",
        "drive.mount('/content/drive')"
      ],
      "id": "_Ocm5Z-kecdi",
      "execution_count": 157,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Drive already mounted at /content/drive; to attempt to forcibly remount, call drive.mount(\"/content/drive\", force_remount=True).\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "859bc42d",
        "outputId": "6918b9f7-fbbe-47b8-9a55-1069942946ca"
      },
      "source": [
        "# file1 = open(\"temp.txt\", \"w+\")\n",
        "path1 = '/content/drive/MyDrive/class project/foreheadData/*_S1_*.jpg'\n",
        "path2 = '/content/drive/MyDrive/class project/foreheadData/*_S2_*.jpg'\n",
        "genuine = []\n",
        "imposter = []\n",
        "orb = cv2.ORB_create(400)\n",
        "norm = cv2.NORM_HAMMING\n",
        "bf = cv2.BFMatcher(norm)\n",
        "\n",
        "for images in glob.glob(path1):\n",
        "    \n",
        "    identity1 = images.split('.jpg')[0].split('/')[-1].split('_')[0]\n",
        "    img1 = cv2.imread(images)\n",
        "    kp1, des1 = orb.detectAndCompute(img1,None)\n",
        "    if len(kp1)>0:\n",
        "        for image in glob.glob(path2):\n",
        "\n",
        "            identity2 = image.split('.jpg')[0].split('/')[-1].split('_')[0]\n",
        "            \n",
        "            img2 = cv2.imread(image) # trainImage\n",
        "            \n",
        "            kp2, des2 = orb.detectAndCompute(img2,None)\n",
        "            try:\n",
        "                matches = bf.knnMatch(des1,des2, k=2)\n",
        "                dis = bf.match(des1,des2)\n",
        "                number_keypoints = 0\n",
        "                if len(kp1) <= len(kp2):\n",
        "                    number_keypoints = len(kp1)\n",
        "                else:\n",
        "                    number_keypoints = len(kp2)\n",
        "                good = []\n",
        "                for m,n in matches:\n",
        "                    if m.distance < 0.7*n.distance:\n",
        "                        good.append([m])\n",
        "\n",
        "                score = len(good) / number_keypoints\n",
        "                if identity1==identity2:\n",
        "                    genuine.append(score)\n",
        "                   \n",
        "                else:\n",
        "                    imposter.append(score)\n",
        "\n",
        "                print(images + \" \" + image + \" \" + str(score)) # replace with 'cos' if using cosine similarity\n",
        "            except:\n",
        "                print(images + \" \" + image + \" no key points found\" )\n",
        "# file1.close()\n",
        "print(len(genuine))\n",
        "print(len(imposter))"
      ],
      "id": "859bc42d",
      "execution_count": 158,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\u001b[1;30;43mStreaming output truncated to the last 5000 lines.\u001b[0m\n",
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            "/content/drive/MyDrive/class project/foreheadData/27_P2_S1_3.jpg /content/drive/MyDrive/class project/foreheadData/28_P1_S2_2.jpg 0.0\n",
            "/content/drive/MyDrive/class project/foreheadData/27_P2_S1_3.jpg /content/drive/MyDrive/class project/foreheadData/28_P1_S2_3.jpg no key points found\n",
            "/content/drive/MyDrive/class project/foreheadData/27_P2_S1_3.jpg /content/drive/MyDrive/class project/foreheadData/28_P2_S2_1.jpg 0.0\n",
            "/content/drive/MyDrive/class project/foreheadData/27_P2_S1_3.jpg /content/drive/MyDrive/class project/foreheadData/28_P2_S2_2.jpg 0.0\n",
            "/content/drive/MyDrive/class project/foreheadData/27_P2_S1_3.jpg /content/drive/MyDrive/class project/foreheadData/28_P2_S2_3.jpg 0.25\n",
            "330\n",
            "7840\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ea73789b",
        "outputId": "037621fd-1331-4773-ed34-3a238e8a1cf2"
      },
      "source": [
        "max(genuine)"
      ],
      "id": "ea73789b",
      "execution_count": 159,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "2.5"
            ]
          },
          "metadata": {},
          "execution_count": 159
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "86ab7705",
        "outputId": "849d49cc-9359-4d0c-c7ee-043886eab332"
      },
      "source": [
        "max(imposter)"
      ],
      "id": "86ab7705",
      "execution_count": 160,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "9.5"
            ]
          },
          "metadata": {},
          "execution_count": 160
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "1dceedad"
      },
      "source": [
        "total_match_comparisons = len(genuine)+len(imposter)"
      ],
      "id": "1dceedad",
      "execution_count": 161,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "9e25ef1d"
      },
      "source": [
        "def calculate_metric(threshold):\n",
        "    correct_acceptance = list(filter(lambda x: x > threshold, genuine))\n",
        "    correct_rejection =list(filter(lambda x: x < threshold, imposter))\n",
        "    false_acceptance = list(filter(lambda x: x > threshold, imposter))\n",
        "    false_rejection = list(filter(lambda x: x <= threshold, genuine))\n",
        "\n",
        "    crr = (len(correct_acceptance)+len(correct_rejection)) / total_match_comparisons\n",
        "    far = len(false_acceptance) / total_match_comparisons\n",
        "    frr = len(false_rejection) / total_match_comparisons\n",
        "    return crr, far, frr"
      ],
      "id": "9e25ef1d",
      "execution_count": 162,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 279
        },
        "id": "ddea603c",
        "outputId": "1c192565-5fbf-4011-bb4c-35f5300ed550"
      },
      "source": [
        "far_values = []\n",
        "frr_values = []\n",
        "crr_values = []\n",
        "thresholds = []\n",
        "# max_accuracy = 0\n",
        "# thres = 0\n",
        "for i in range(0, 100):\n",
        "    crr, far, frr = calculate_metric(i*0.01)\n",
        "    acc = 100-(far+frr)*100/2\n",
        "    far_values.append(far)\n",
        "    frr_values.append(frr)\n",
        "    crr_values.append(crr)\n",
        "    thresholds.append(i*0.01)\n",
        "    \n",
        "#     if max_accuracy <= acc:\n",
        "#         max_accuracy = acc\n",
        "#         thres = x*0.01\n",
        "        \n",
        "plt.plot(thresholds, far_values, 'r--' ,label='FAR')\n",
        "plt.plot(thresholds, frr_values, 'b--' ,label = 'FRR')\n",
        "plt.xlabel(\"Thresholds\")\n",
        "plt.ylabel(\"FAR or FRR\")\n",
        "plt.legend()\n",
        "plt.show()\n",
        "# print(\"Accuracy = \", max_accuracy)"
      ],
      "id": "ddea603c",
      "execution_count": 163,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "b67b67c9"
      },
      "source": [
        "far_values = [x*100 for x in far_values]"
      ],
      "id": "b67b67c9",
      "execution_count": 164,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "uPqA-bVbBLA1"
      },
      "source": [
        "frr_values = [x*100 for x in frr_values]"
      ],
      "id": "uPqA-bVbBLA1",
      "execution_count": 165,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 541
        },
        "id": "7b95798f",
        "outputId": "c5ad6f96-f208-47be-f96a-c776d1fabf37"
      },
      "source": [
        "plt.plot(far_values, frr_values, label = 'False Rejection Rate vs False Acceptance Rate')\n",
        "plt.xlabel('False Acceptance Rate')\n",
        "plt.ylabel('False Rejection Rate')\n",
        "plt.show()\n",
        "plt.plot(thresholds, crr_values, label = 'Correct Rejection Rate vs Thresholds')\n",
        "plt.xlabel('Thresholds')\n",
        "plt.ylabel('Correct Rejection Rate')\n",
        "plt.show()"
      ],
      "id": "7b95798f",
      "execution_count": 166,
      "outputs": [
        {
          "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"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "671473c0"
      },
      "source": [
        "genuine_rounded_score = [round(x, 2) for x in genuine]\n",
        "imposter_rounded_score = [round(x, 2) for x in imposter]"
      ],
      "id": "671473c0",
      "execution_count": 167,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "4acdc91b"
      },
      "source": [
        "(unique, counts) = np.unique(genuine_rounded_score, return_counts=True)\n",
        "genuine_score_frequency = np.asarray((unique, counts)).T\n",
        "(unique, counts) = np.unique(imposter_rounded_score, return_counts=True)\n",
        "imposter_score_frequency = np.asarray((unique, counts)).T"
      ],
      "id": "4acdc91b",
      "execution_count": 168,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "961313d7"
      },
      "source": [
        "for i in range(len(genuine_score_frequency)):\n",
        "    genuine_score_frequency[i][1] = 100*genuine_score_frequency[i][1]/len(genuine)\n",
        "for i in range(len(imposter_score_frequency)):\n",
        "    imposter_score_frequency[i][1] = 100*imposter_score_frequency[i][1]/len(imposter)"
      ],
      "id": "961313d7",
      "execution_count": 169,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "33418002"
      },
      "source": [
        "genuine_values = [genuine_score_frequency[x][0] for x in range(len(genuine_score_frequency))]\n",
        "genuine_prob = [genuine_score_frequency[x][1] for x in range(len(genuine_score_frequency))]\n",
        "imposter_values = [imposter_score_frequency[x][0] for x in range(len(imposter_score_frequency))]\n",
        "imposter_prob = [imposter_score_frequency[x][1] for x in range(len(imposter_score_frequency))]"
      ],
      "id": "33418002",
      "execution_count": 170,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 442
        },
        "id": "e239049b",
        "outputId": "77c33a2c-aad6-479f-a3df-d93aefbf8535"
      },
      "source": [
        "plt.figure(figsize= (7,7))\n",
        "plt.plot(genuine_values, genuine_prob,'r' ,label='genuine')\n",
        "plt.plot(imposter_values, imposter_prob, 'b' ,label='imposter')\n",
        "\n",
        "plt.xlabel('Genuine/Imposter Score')\n",
        "plt.ylabel('Probability')\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "id": "e239049b",
      "execution_count": 186,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 296
        },
        "id": "OzKuksiXix-c",
        "outputId": "34ae19ce-b2a1-41ba-c29e-6d7ba0afb0b2"
      },
      "source": [
        "plt.bar(imposter_values, imposter_prob,align='center',color='b')\n",
        "plt.bar(genuine_values,genuine_prob,align='center',color='r')\n",
        "\n",
        "plt.xlabel('Genuine/Imposter Score')\n",
        "plt.ylabel('Probability %')"
      ],
      "id": "OzKuksiXix-c",
      "execution_count": 187,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0, 0.5, 'Probability %')"
            ]
          },
          "metadata": {},
          "execution_count": 187
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 446
        },
        "id": "0b75ff59",
        "outputId": "9f696dea-db61-408b-a6b1-1b57ebe93449"
      },
      "source": [
        "plt.figure(figsize= (7,7))\n",
        "plt.plot(genuine_values, genuine_prob,'r' ,label='genuine')\n",
        "plt.plot(imposter_values, imposter_prob, 'b' ,label='imposter')\n",
        "plt.xlim(0, 5)\n",
        "plt.ylim(0, 5)\n",
        "plt.xlabel('Genuine/Imposter Score')\n",
        "plt.ylabel('Probability')\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "id": "0b75ff59",
      "execution_count": 172,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 504x504 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 283
        },
        "id": "37312ca4",
        "outputId": "cc5d6a09-4216-4ca9-ec7f-14d2310a679e"
      },
      "source": [
        "plt.plot(genuine_values, genuine_prob, 'g--')\n",
        "plt.xlim(0,5)\n",
        "plt.ylim(0,5)\n",
        "plt.xlabel('Genuine Score')\n",
        "plt.ylabel('Probability')\n",
        "plt.show()"
      ],
      "id": "37312ca4",
      "execution_count": 173,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 283
        },
        "id": "c6fcc8e8",
        "outputId": "1d7370e9-b19c-40f1-ce0a-0fbda31b5224"
      },
      "source": [
        "plt.plot(imposter_values, imposter_prob, 'y--')\n",
        "plt.xlim(0,5)\n",
        "plt.ylim(0,5)\n",
        "plt.xlabel('Imposter Score')\n",
        "plt.ylabel('Probability')\n",
        "plt.show()"
      ],
      "id": "c6fcc8e8",
      "execution_count": 174,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "3c3c97c8"
      },
      "source": [
        "### EER and Threshold"
      ],
      "id": "3c3c97c8"
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "eb28a01c"
      },
      "source": [
        "min_diff = 100000\n",
        "index = 0\n",
        "for i in range(len(frr_values)):\n",
        "    if abs(far_values[i]-frr_values[i])<=min_diff:\n",
        "        min_diff = abs(far_values[i]-frr_values[i])\n",
        "        index = i"
      ],
      "id": "eb28a01c",
      "execution_count": 175,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "d1f5bc31",
        "outputId": "429873ef-d027-4bb0-bcb6-81f68b17fa6c"
      },
      "source": [
        "thresholds[index] ## threshold"
      ],
      "id": "d1f5bc31",
      "execution_count": 176,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.99"
            ]
          },
          "metadata": {},
          "execution_count": 176
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "886ef88d",
        "outputId": "f6dbe066-09f8-461d-8c09-b0662509abdf"
      },
      "source": [
        "min_diff ## EER"
      ],
      "id": "886ef88d",
      "execution_count": 177,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.23255813953488413"
            ]
          },
          "metadata": {},
          "execution_count": 177
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "0e1a55e8"
      },
      "source": [
        "correct_acceptance = list(filter(lambda x: x > thresholds[index], genuine))\n",
        "correct_rejection = list(filter(lambda x: x < thresholds[index], imposter))\n",
        "\n",
        "false_acceptance = list(filter(lambda x: x > thresholds[index], imposter))\n",
        "false_rejection = list(filter(lambda x: x <= thresholds[index], genuine))\n",
        "crr = (len(correct_acceptance)+len(correct_rejection))/ total_match_comparisons\n",
        "far = len(false_acceptance) / total_match_comparisons\n",
        "frr = len(false_rejection) / total_match_comparisons"
      ],
      "id": "0e1a55e8",
      "execution_count": 178,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "372820ce",
        "outputId": "84b4c122-5628-4d91-f9db-29e0e31a72b3"
      },
      "source": [
        "crr*100"
      ],
      "id": "372820ce",
      "execution_count": 179,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "92.10526315789474"
            ]
          },
          "metadata": {},
          "execution_count": 179
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "32b28c80",
        "outputId": "cd504c0c-8350-4e22-a144-7b39db71b7a0"
      },
      "source": [
        "far*100"
      ],
      "id": "32b28c80",
      "execution_count": 180,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "4.063647490820074"
            ]
          },
          "metadata": {},
          "execution_count": 180
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "a71a8b3a",
        "outputId": "9667dd40-5144-4da6-869d-518cb9da39f6"
      },
      "source": [
        "frr*100"
      ],
      "id": "a71a8b3a",
      "execution_count": 181,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "3.83108935128519"
            ]
          },
          "metadata": {},
          "execution_count": 181
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "44f94d10"
      },
      "source": [
        "acc = 100-(far+frr)*100/2"
      ],
      "id": "44f94d10",
      "execution_count": 182,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ee4ec74d",
        "outputId": "81251c6b-a55b-4caa-d169-d719cf84e7c5"
      },
      "source": [
        "acc ##accuracy"
      ],
      "id": "ee4ec74d",
      "execution_count": 183,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "96.05263157894737"
            ]
          },
          "metadata": {},
          "execution_count": 183
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "207e8acb"
      },
      "source": [
        ""
      ],
      "id": "207e8acb",
      "execution_count": 183,
      "outputs": []
    }
  ]
}