{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "V8oxar_KaGwu"
      },
      "source": [
        "# Matplotlib: plotting library for Python"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "fooyca_yUDd0"
      },
      "source": [
        "Matplotlib is a comprehensive library for creating static, animated, and interactive visualizations.\n",
        "you need to install at with pip:\n",
        "> *pip install matplotlib*"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "tWsVhsf4aQ5-"
      },
      "source": [
        "First we need to import it (A complete documentation is available on https://matplotlib.org)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {
        "id": "jc64cCL_v3JF"
      },
      "outputs": [],
      "source": [
        "import matplotlib.pyplot as plt\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "GfeeyPiHa9Fv"
      },
      "source": [
        "Define a set of data (initially we will do it manually)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "NsCV7VIDwRW4",
        "outputId": "8a323955-cec8-4daf-c297-64bb4cf298de"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "13 13\n"
          ]
        }
      ],
      "source": [
        "x = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 15, 20, 25]\n",
        "y = [0.9, 1.2, 1.02, 0.45, 2.8, 3.0, 0.04, 0.88, 1.87, 4.09, 1.01, 2.08, 0.7]\n",
        "print(len(x), len(y)) #length of the list, of the array, of the tuple"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "8LLkBNIdbi9x"
      },
      "source": [
        "Create the canevas and define the figure to use as framework for plotting"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 269
        },
        "id": "qcO6UqBAwhCQ",
        "outputId": "802fc25c-f647-45ae-ed3f-58d0c5060b86"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# plot\n",
        "fig, ax = plt.subplots()\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "YEcEgSEjbvdA"
      },
      "source": [
        "Now, we ask to the library (matplotlib) to build the scatter (x, y)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 282
        },
        "id": "mf5cyj4ucXGt",
        "outputId": "6febbd1d-1747-46d5-a434-37ae49f371a2"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# plot (x,y) set\n",
        "x = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 15, 20, 25]\n",
        "y = [0.9, 1.2, 1.02, 0.45, 2.8, 3.0, 0.04, 0.88, 1.87, 4.09, 1.01, 2.08, 0.7]\n",
        "fig, ax = plt.subplots()\n",
        "ax.scatter(x, y);"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "s8Qco-ijcEnc"
      },
      "source": [
        "Now you can plot it (in physical way not only in the cach memory of the notebook)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 265
        },
        "id": "rKm3c825buef",
        "outputId": "0d024ef8-fda4-4ef9-fd0e-e06c5a76239b"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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MTKdpLMvS6tWrtXPnTh08eFCZmZkxv2EwGNTp06fl8Xhi3hYAACSemEZGSktLVV1drd27dyslJUU+n0+S5HK5NGbMGEnS8uXLNWHCBFVWVkqSXnnlFc2dO1dTpkzRlStXtH79el24cEHPPffcAH8UAAAQj2IKI1VVVZKkxx9/PKL9Jz/5iZ555hlJUnNzs5KSPh9w+eyzz7Rq1Sr5fD7dc889mj17to4dO6asrKz+VQ4AABJCny9gHUq9vQAGAAAMH739/ubZNAAAwCjCCAAAMIowAgAAjCKMAAAAowgjAADAKMIIAAAwijACAACMIowAAACjCCMAAMAowggAADCKMAIAAIwijAAAAKMIIwAAwCjCCAAAMIowAgAAjCKMAAAAowgjAADAKMIIAAAwijACAACMIowAAACjCCMAAMAowggAADCKMAIAAIy6w3QBAAAEQ5bqmi6rta1DaSkO5WamKjnJZrosDBHCCADAqJoGryr2NMrr7wi3eVwOlRdlqTDbY7AyDBVO0wAAjKlp8KpkW31EEJEkn79DJdvqVdPgNVQZhhJhBABgRDBkqWJPo6weXutqq9jTqGCopx5IJIQRAIARdU2Xu42I3MyS5PV3qK7p8tAVBSMIIwAAI1rbogeRvvRD/CKMAACMSEtxDGg/xC/CCADAiNzMVHlcDkW7gdemG3fV5GamDmVZMCCmMFJZWalHHnlEKSkpSktLU3Fxsc6ePXvb7Xbs2KFp06bJ4XBo+vTp2rdvX58LBgAkhuQkm8qLsiSpWyDpWi8vymK+kREgpjBy+PBhlZaW6vjx49q/f7+uX7+up556Su3t7VG3OXbsmJYuXaqVK1fq/fffV3FxsYqLi9XQ0NDv4gEA8a0w26OqZbPkdkWeinG7HKpaNot5RkYIm2VZfb5n6uOPP1ZaWpoOHz6sxx57rMc+S5YsUXt7u/bu3Rtumzt3rmbOnKnNmzf36n0CgYBcLpf8fr+cTmdfywUADFPMwJqYevv93a8ZWP1+vyQpNTX6+bza2lqtW7cuoq2goEC7du2Kuk1nZ6c6OzvD64FAoD9lAgCGueQkm/LuG2u6DBjS5wtYQ6GQ1q5dq0cffVTZ2dlR+/l8PqWnp0e0paeny+fzRd2msrJSLpcrvGRkZPS1TAAAMMz1OYyUlpaqoaFB27dvH8h6JEllZWXy+/3h5eLFiwP+HgAAYHjo02ma1atXa+/evTpy5IgmTpx4y75ut1stLS0RbS0tLXK73VG3sdvtstvtfSkNAADEmZhGRizL0urVq7Vz504dPHhQmZmZt90mLy9PBw4ciGjbv3+/8vLyYqsUAAAkpJhGRkpLS1VdXa3du3crJSUlfN2Hy+XSmDFjJEnLly/XhAkTVFlZKUlas2aN5s+frw0bNmjRokXavn27Tpw4oS1btgzwRwEAAPEoppGRqqoq+f1+Pf744/J4POHlzTffDPdpbm6W1/v5I5/nzZun6upqbdmyRTNmzNBbb72lXbt23fKiVwAAMHL0a56RocI8I4gnzJcAADcMyTwjACLVNHhVsacx4rHoHpdD5UVZzCQJAFHwoDxggNQ0eFWyrT4iiEiSz9+hkm31qmnwRtkSAEY2wggwAIIhSxV7GtXTOc+utoo9jQqGhv1ZUQAYcoQRYADUNV3uNiJyM0uS19+huqbLQ1cUAMQJwggwAFrbogeRvvQDgJGEMAIMgLQUx+07xdAPAEYSwggwAHIzU+VxORTtBl6bbtxVk5sZ/QnXADBSEUaAAZCcZFN5UZYkdQskXevlRVnMNwIAPSCMAAOkMNujqmWz5HZFnopxuxyqWjaLeUYAIAomPQMGUGG2Rwuy3MzACgAxIIwAAyw5yaa8+8aaLgMA4ganaQAAgFGEEQAAYBRhBAAAGEUYAQAARhFGAACAUYQRAABgFGEEAAAYRRgBAABGEUYAAIBRhBEAAGAUYQQAABhFGAEAAEYRRgAAgFGEEQAAYBRhBAAAGEUYAQAARhFGAACAUYQRAABgFGEEAAAYFXMYOXLkiIqKijR+/HjZbDbt2rXrlv0PHTokm83WbfH5fH2tGQAAJJCYw0h7e7tmzJihTZs2xbTd2bNn5fV6w0taWlqsbw0AABLQHbFusHDhQi1cuDDmN0pLS9Pdd98d83YAACCxDdk1IzNnzpTH49GCBQv0v//7v7fs29nZqUAgELEAAIDENOhhxOPxaPPmzfrlL3+pX/7yl8rIyNDjjz+u+vr6qNtUVlbK5XKFl4yMjMEuEwAAGGKzLMvq88Y2m3bu3Kni4uKYtps/f74mTZqk//zP/+zx9c7OTnV2dobXA4GAMjIy5Pf75XQ6+1ouAAAYQoFAQC6X67bf3zFfMzIQcnNzdfTo0aiv2+122e32IawIAACYYmSekVOnTsnj8Zh4awAAMMzEPDJy9epVnTt3Lrze1NSkU6dOKTU1VZMmTVJZWZk++ugj/fSnP5Ukbdy4UZmZmXrwwQfV0dGhH//4xzp48KD++7//e+A+BQAAiFsxh5ETJ07oiSeeCK+vW7dOkrRixQpt3bpVXq9Xzc3N4devXbumv/mbv9FHH32kO++8Uzk5Ofqf//mfiL8BAABGrn5dwDpUensBDAAAGD56+/3Ns2kAAIBRhBEAAGAUYQQAABhFGAEAAEYRRgAAgFGEEQAAYBRhBAAAGEUYAQAARhFGAACAUYQRAABgFGEEAAAYRRgBAABGEUYAAIBRd5guIBEEQ5bqmi6rta1DaSkO5WamKjnJZrosAADiAmGkn2oavKrY0yivvyPc5nE5VF6UpcJsj8HKAACID5ym6YeaBq9KttVHBBFJ8vk7VLKtXjUNXkOVAQAQPwgjfRQMWarY0yirh9e62ir2NCoY6qkHAADoQhjpo7qmy91GRG5mSfL6O1TXdHnoigIAIA4RRvqotS16EOlLPwAARirCSB+lpTgGtB8AACMVYaSPcjNT5XE5FO0GXptu3FWTm5k6lGUBABB3CCN9lJxkU3lRliR1CyRd6+VFWcw3AgDAbRBG+qEw26OqZbPkdkWeinG7HKpaNot5RgAA6AUmPeunwmyPFmS5mYEVAIA+IowMgOQkm/LuG2u6DAAA4hKnaQAAgFGEEQAAYBRhBAAAGMU1I8NMMGRxMSwAYEQhjAwjNQ1eVexpjHjmjcflUHlRFrcJA0OEHwTA0COMDBM1DV6VbKvv9hRgn79DJdvqmbcEGAL8IADMiPmakSNHjqioqEjjx4+XzWbTrl27brvNoUOHNGvWLNntdk2ZMkVbt27tQ6mJKxiyVLGnsVsQkRRuq9jTqGCopx4ABkLXD4IvPo276wdBTYPXUGVA4os5jLS3t2vGjBnatGlTr/o3NTVp0aJFeuKJJ3Tq1CmtXbtWzz33nN55552Yi01UdU2Xu/0HeDNLktffobqmy0NXFDCC8IMAMCvm0zQLFy7UwoULe91/8+bNyszM1IYNGyRJDzzwgI4ePap//ud/VkFBQaxvn5Ba26IHkb70AxCbWH4QMMEhMPAG/dbe2tpa5efnR7QVFBSotrY26jadnZ0KBAIRSyJLS3HcvlMM/QDEhh8EgFmDHkZ8Pp/S09Mj2tLT0xUIBPSHP/yhx20qKyvlcrnCS0ZGxmCXaVRuZqo8Lke3p/92senGRXS5malDWRYwYvCDADBrWE56VlZWJr/fH14uXrxouqRBlZxkU3lRliR1CyRd6+VFWdxeCAwSfhAAZg16GHG73WppaYloa2lpkdPp1JgxY3rcxm63y+l0RiyJrjDbo6pls+R2Rf7ycrsc3NYLDDJ+EABmDfo8I3l5edq3b19E2/79+5WXlzfYb31Lw3Fio8JsjxZkuYddXcBI0PWD4IvzjLiZZwQYdDGHkatXr+rcuXPh9aamJp06dUqpqamaNGmSysrK9NFHH+mnP/2pJOn555/Xa6+9pm9961v6y7/8Sx08eFC/+MUv9F//9V8D9yliNJwnNkpOsnG1PmAIPwgAM2yWZcV04/yhQ4f0xBNPdGtfsWKFtm7dqmeeeUa/+93vdOjQoYhtXnjhBTU2NmrixIl66aWX9Mwzz/T6PQOBgFwul/x+f79P2USb6bTrvxpOiYxMw3GkDADiXW+/v2MOIyYMVBgJhix99QcHo84nYNONIdmj3/4aX0QjyHAeKQOAeNbb7+9heTfNYGGmU3wRU4ADgHkjKowwsRFuxhTgADA8jKgwwsRGuBkjZQAwPIyoMMLERrgZI2UAMDyMqDDCxEa4GSNlADA8jKgwIjHTKT7HSBkADA+DPgPrcMTERpA+Hykr2VYvmxRxISsjZQAwdEbUPCNAT5hnBAAGR2+/v0fkyAhwM0bKAMAswgggngkEACaNuAtYAQDA8EIYAQAARhFGAACAUVwzAgDACBUMWcPi4n3CCAAAI9BwmtaA0zQAAIwwNQ1elWyr7/awUJ+/QyXb6lXT4B3SeggjAACMIMGQpYo9jeppxtOutoo9jQqGhm5OVMIIAAAjSF3T5W4jIjezJHn9HaprujxkNRFGAAAYQVrbogeRvvQbCIQRAABGkLQUx+07xdBvIBBGAAAYQXIzU+VxORTtBl6bbtxVk5uZOmQ1EUYAABhBkpNsKi/KkqRugaRrvbwoa0jnGyGMAAAwwhRme1S1bJbcrshTMW6XQ1XLZg35PCNMegYAwAhUmO3Rgiw3M7ACAABzkpNsyrtvrOkyOE0DAADMIowAAACjCCMAAMAowggAADCKMAIAAIzqUxjZtGmT7r33XjkcDs2ZM0d1dXVR+27dulU2my1icTiGbopZAAAwvMUcRt58802tW7dO5eXlqq+v14wZM1RQUKDW1tao2zidTnm93vBy4cKFfhUNAAASR8xh5J/+6Z+0atUqPfvss8rKytLmzZt155136o033oi6jc1mk9vtDi/p6en9KhoAACSOmMLItWvXdPLkSeXn53/+B5KSlJ+fr9ra2qjbXb16VZMnT1ZGRoYWL16sM2fO3PJ9Ojs7FQgEIhbELhiyVHv+U+0+9ZFqz3+qYMgyXRIAAN3ENAPrJ598omAw2G1kIz09XR988EGP20ydOlVvvPGGcnJy5Pf79Y//+I+aN2+ezpw5o4kTJ/a4TWVlpSoqKmIpDV9Q0+BVxZ5Gef0d4TaPy6Hyoqwhf+YAAAC3Muh30+Tl5Wn58uWaOXOm5s+fr1/96lf68pe/rNdffz3qNmVlZfL7/eHl4sWLg11mQqlp8KpkW31EEJEkn79DJdvqVdPgNVQZAADdxTQyMm7cOCUnJ6ulpSWivaWlRW63u1d/Y9SoUXrooYd07ty5qH3sdrvsdnsspeH/C4YsVexpVE8nZCzdeDx0xZ5GLchyG3kYEgAAXxTTyMjo0aM1e/ZsHThwINwWCoV04MAB5eXl9epvBINBnT59Wh4PpwoGQ13T5W4jIjezJHn9Haprujx0RQEAcAsxP7V33bp1WrFihR5++GHl5uZq48aNam9v17PPPitJWr58uSZMmKDKykpJ0iuvvKK5c+dqypQpunLlitavX68LFy7oueeeG9hPAklSa1v0INKXfgAADLaYw8iSJUv08ccf6+WXX5bP59PMmTNVU1MTvqi1ublZSUmfD7h89tlnWrVqlXw+n+655x7Nnj1bx44dU1ZW1sB9CoSlpfRuQrne9gMAYLDZLMsa9vd7BgIBuVwu+f1+OZ1O0+UMa8GQpa/+4KB8/o4erxuxSXK7HDr67a9xzQgAYFD19vubZ9MkmOQkm8qLbow6fTFqdK2XF2URRAAAwwZhJAEVZntUtWyW3K7IUzFul0NVy2YxzwgAYFiJ+ZoRxIfCbI8WZLlV13RZrW0dSktxKDczlRERAMCwQxhJYMlJNuXdN9Z0GQAA3BKnaQAAgFGEEQAAYBRhBAAAGEUYAQAARhFGAACAUYQRAABgFGEEAAAYRRgBAABGEUYAAIBRhBEAAGAUYQQAABhFGAEAAEYRRgAAgFGEEQAAYBRhBAAAGEUYAQAARhFGAACAUYQRAABgFGEEAAAYRRgBAABGEUYAAIBRhBEAAGDUHaYLAPoqGLJU13RZrW0dSktxKDczVclJNtNlAQBiRBhBXKpp8KpiT6O8/o5wm8flUHlRlgqzPQYrAwDEitM0iDs1DV6VbKuPCCKS5PN3qGRbvWoavIYqAwD0BWEEcSUYslSxp1FWD691tVXsaVQw1FMPAMBwRBhBXKlrutxtRORmliSvv0N1TZeHrigAQL/0KYxs2rRJ9957rxwOh+bMmaO6urpb9t+xY4emTZsmh8Oh6dOna9++fX0qFmhtix5E+tIPAGBezGHkzTff1Lp161ReXq76+nrNmDFDBQUFam1t7bH/sWPHtHTpUq1cuVLvv/++iouLVVxcrIaGhn4Xj5EnLcUxoP0AAObZLMuK6eT6nDlz9Mgjj+i1116TJIVCIWVkZOib3/ym/v7v/75b/yVLlqi9vV179+4Nt82dO1czZ87U5s2be/WegUBALpdLfr9fTqczlnKRYIIhS1/9wUH5/B09Xjdik+R2OXT021/jNl8AMKy3398xjYxcu3ZNJ0+eVH5+/ud/IClJ+fn5qq2t7XGb2traiP6SVFBQELW/JHV2dioQCEQsgCQlJ9lUXpQl6UbwuFnXenlRFkEEAOJITGHkk08+UTAYVHp6ekR7enq6fD5fj9v4fL6Y+ktSZWWlXC5XeMnIyIilTCS4wmyPqpbNktsVeSrG7XKoatks5hkBgDgzLCc9Kysr07p168LrgUCAQIIIhdkeLchyMwMrACSAmMLIuHHjlJycrJaWloj2lpYWud3uHrdxu90x9Zcku90uu90eS2kYgZKTbMq7b6zpMgAA/RTTaZrRo0dr9uzZOnDgQLgtFArpwIEDysvL63GbvLy8iP6StH///qj9AQDAyBLzaZp169ZpxYoVevjhh5Wbm6uNGzeqvb1dzz77rCRp+fLlmjBhgiorKyVJa9as0fz587VhwwYtWrRI27dv14kTJ7Rly5aB/SQAACAuxRxGlixZoo8//lgvv/yyfD6fZs6cqZqamvBFqs3NzUpK+nzAZd68eaqurtZ3vvMdvfjii7r//vu1a9cuZWdnD9ynAAAAcSvmeUZMYJ4RAADiz6DMMwIAADDQCCMAAMAowggAADCKMAIAAIwijAAAAKOG5XTwX9R1ww8PzAMAIH50fW/f7sbduAgjbW1tksTzaQAAiENtbW1yuVxRX4+LeUZCoZAuXbqklJQUtbW1KSMjQxcvXmTOkSHU9bBC9vvQYr+bwX43g/1uxmDud8uy1NbWpvHjx0dMiPpFcTEykpSUpIkTJ0qSbLYbT2V1Op0crAaw381gv5vBfjeD/W7GYO33W42IdOECVgAAYBRhBAAAGBV3YcRut6u8vFx2u910KSMK+90M9rsZ7Hcz2O9mDIf9HhcXsAIAgMQVdyMjAAAgsRBGAACAUYQRAABgFGEEAAAYFXdhZNOmTbr33nvlcDg0Z84c1dXVmS4poX33u9+VzWaLWKZNm2a6rIRz5MgRFRUVafz48bLZbNq1a1fE65Zl6eWXX5bH49GYMWOUn5+v3/72t2aKTSC32+/PPPNMt+O/sLDQTLEJorKyUo888ohSUlKUlpam4uJinT17NqJPR0eHSktLNXbsWN111136xje+oZaWFkMVJ4be7PfHH3+82/H+/PPPD0l9cRVG3nzzTa1bt07l5eWqr6/XjBkzVFBQoNbWVtOlJbQHH3xQXq83vBw9etR0SQmnvb1dM2bM0KZNm3p8/Yc//KH+5V/+RZs3b9a7776rL33pSyooKFBHR8cQV5pYbrffJamwsDDi+P/5z38+hBUmnsOHD6u0tFTHjx/X/v37df36dT311FNqb28P93nhhRe0Z88e7dixQ4cPH9alS5f09a9/3WDV8a83+12SVq1aFXG8//CHPxyaAq04kpuba5WWlobXg8GgNX78eKuystJgVYmtvLzcmjFjhukyRhRJ1s6dO8ProVDIcrvd1vr168NtV65csex2u/Xzn//cQIWJ6Yv73bIsa8WKFdbixYuN1DNStLa2WpKsw4cPW5Z149geNWqUtWPHjnCf//u//7MkWbW1tabKTDhf3O+WZVnz58+31qxZY6SeuBkZuXbtmk6ePKn8/PxwW1JSkvLz81VbW2uwssT329/+VuPHj9dXvvIVPf3002pubjZd0ojS1NQkn88Xcey7XC7NmTOHY38IHDp0SGlpaZo6dapKSkr06aefmi4pofj9fklSamqqJOnkyZO6fv16xPE+bdo0TZo0ieN9AH1xv3f52c9+pnHjxik7O1tlZWX6/e9/PyT1xMWD8iTpk08+UTAYVHp6ekR7enq6PvjgA0NVJb45c+Zo69atmjp1qrxeryoqKvTHf/zHamhoUEpKiunyRgSfzydJPR77Xa9hcBQWFurrX/+6MjMzdf78eb344otauHChamtrlZycbLq8uBcKhbR27Vo9+uijys7OlnTjeB89erTuvvvuiL4c7wOnp/0uSX/xF3+hyZMna/z48frNb36jb3/72zp79qx+9atfDXpNcRNGYMbChQvD/87JydGcOXM0efJk/eIXv9DKlSsNVgYMvj//8z8P/3v69OnKycnRfffdp0OHDunJJ580WFliKC0tVUNDA9ehDbFo+/2v/uqvwv+ePn26PB6PnnzySZ0/f1733XffoNYUN6dpxo0bp+Tk5G5XVLe0tMjtdhuqauS5++679Ud/9Ec6d+6c6VJGjK7jm2PfvK985SsaN24cx/8AWL16tfbu3atf//rXmjhxYrjd7Xbr2rVrunLlSkR/jveBEW2/92TOnDmSNCTHe9yEkdGjR2v27Nk6cOBAuC0UCunAgQPKy8szWNnIcvXqVZ0/f14ej8d0KSNGZmam3G53xLEfCAT07rvvcuwPsQ8//FCffvopx38/WJal1atXa+fOnTp48KAyMzMjXp89e7ZGjRoVcbyfPXtWzc3NHO/9cLv93pNTp05J0pAc73F1mmbdunVasWKFHn74YeXm5mrjxo1qb2/Xs88+a7q0hPW3f/u3Kioq0uTJk3Xp0iWVl5crOTlZS5cuNV1aQrl69WrEr4+mpiadOnVKqampmjRpktauXavvf//7uv/++5WZmamXXnpJ48ePV3FxsbmiE8Ct9ntqaqoqKir0jW98Q263W+fPn9e3vvUtTZkyRQUFBQarjm+lpaWqrq7W7t27lZKSEr4OxOVyacyYMXK5XFq5cqXWrVun1NRUOZ1OffOb31ReXp7mzp1ruPr4dbv9fv78eVVXV+tP/uRPNHbsWP3mN7/RCy+8oMcee0w5OTmDX6CRe3j64V//9V+tSZMmWaNHj7Zyc3Ot48ePmy4poS1ZssTyeDzW6NGjrQkTJlhLliyxzp07Z7qshPPrX//aktRtWbFihWVZN27vfemll6z09HTLbrdbTz75pHX27FmzRSeAW+333//+99ZTTz1lffnLX7ZGjRplTZ482Vq1apXl8/lMlx3Xetrfkqyf/OQn4T5/+MMfrL/+67+27rnnHuvOO++0/uzP/szyer3mik4At9vvzc3N1mOPPWalpqZadrvdmjJlivV3f/d3lt/vH5L6bP+/SAAAACPi5poRAACQmAgjAADAKMIIAAAwijACAACMIowAAACjCCMAAMAowggAADCKMAIAAIwijAAAAKMIIwAAwCjCCAAAMIowAgAAjPp/eMmzfr/pjk8AAAAASUVORK5CYII=",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# plot\n",
        "fig, ax = plt.subplots()\n",
        "ax.scatter(x, y)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "d91wS5gScr6F"
      },
      "source": [
        "To save the plot file:"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 265
        },
        "id": "YGy0Oc22cqre",
        "outputId": "0b16411a-710f-49b0-a4ec-78673b05c070"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# plot\n",
        "fig, ax = plt.subplots()\n",
        "ax.scatter(x, y)\n",
        "# it is recommanded that once you agree the output plotting to proceed to saving file\n",
        "plt.savefig('Scatter_XY.jpeg', dpi=600) #and plt.show()\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "jpUhX0kKeRXE"
      },
      "source": [
        "Tune your plot"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 41,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 246
        },
        "id": "EeBQx8q4eTsY",
        "outputId": "d1de5081-af4e-449e-981b-95b81c2723e1"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "[(0.0, 30.0), (-1.0, 5.0)]"
            ]
          },
          "execution_count": 41,
          "metadata": {},
          "output_type": "execute_result"
        },
        {
          "data": {
            "image/png": "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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# plot\n",
        "fig, ax = plt.subplots()\n",
        "# Change the marker type: 's' for square, 'o' for circle, '^' for triangle, '*' for star, 'X' for cross,\n",
        "# 'h' or 'H' for hexagon, 'd' or 'D' for losange, 'p' for pentagone\n",
        "ax.scatter(x, y, color='r', s=50, marker='p')\n",
        "# set the limits of axes\n",
        "ax.set(xlim=(0, 30), ylim=(-1, 5))\n",
        "\n",
        "# it is recommanded that once you agree the output plotting to proceed to saving file\n",
        "#plt.savefig('Scatter_XY.jpeg') and plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 66,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 308
        },
        "id": "ZyrP3xfF-v0O",
        "outputId": "f394a08d-cf1b-45f4-ff9f-5fe4bae0fa4c"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# plot\n",
        "fig, ax = plt.subplots()\n",
        "# Change the linewidth and keep/takeoff markers\n",
        "ax.plot(x, y, color='red', lw=2, marker='*', ms=15, markerfacecolor='yellow', markeredgecolor=\"b\"\\\n",
        "        , label='Mydata')\n",
        "# set the limits of axes\n",
        "ax.set(xlim=(0, 30), ylim=(-1, 5))\n",
        "# Identify your plot\n",
        "fig.suptitle('Plot some data with markers and line', fontsize=18)\n",
        "ax.set_title('This is my plot', fontsize=12, y =1.0, pad=-20)\n",
        "#ax.set_title('rcParams')\n",
        "ax.set_xlabel('coordinates X [cm]')\n",
        "ax.set_ylabel('Ordinates Y [cm]')\n",
        "legend = ax.legend(loc='upper right', shadow=True, fontsize='x-large')\n",
        "#Maximum = (10, 4.09)\n",
        "# it is recommanded that once you agree the output plotting to proceed to saving file\n",
        "plt.savefig('Plot_XY.jpeg') and plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 84,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 308
        },
        "id": "RqvkWfXGhHbZ",
        "outputId": "5df75131-f0d4-45e6-cc69-45c5bdcd8ddd"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# plot\n",
        "fig, ax = plt.subplots()\n",
        "# Change the linewidth and keep/takeoff markers\n",
        "ax.plot(x, y, color='r', linewidth=2, marker='*', markersize=15, markerfacecolor='y', markeredgecolor=\"b\"\\\n",
        "        , label='Myplot')\n",
        "# set the limits of axes\n",
        "ax.set(xlim=(0, 30), ylim=(-1, 5))\n",
        "# Identify your plot\n",
        "fig.suptitle('Plot some data with markers and line', fontsize=18)\n",
        "ax.set_title('This is my plot', fontsize=12, y = 0.9) #, pad=0)\n",
        "# ax.set_title('rcParams')\n",
        "ax.set_xlabel('coordinates X')\n",
        "ax.set_ylabel('Ordinates Y')\n",
        "legend = ax.legend(loc='upper right', shadow=True, fontsize='x-large')\n",
        "Maximum = (10, 4.09)\n",
        "#Annotation\n",
        "ax.annotate('Maximum',\n",
        "            xy=(10.2, 4.09), xycoords='data',\n",
        "            xytext=(20, 3.5), textcoords='data', fontsize = 14,\n",
        "            arrowprops=dict(facecolor='black', shrink=0.1,width=2),\n",
        "            horizontalalignment='right', verticalalignment='center')\n",
        "# it is recommanded that once you agree the output plotting to proceed to saving file\n",
        "ax.grid(linestyle='--', linewidth=1., color='b')\n",
        "plt.savefig('Plot_XY.jpeg') and plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "r8VN9piwBZUQ"
      },
      "source": [
        "## Now, let's use numpy to generate better plots"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {
        "id": "9SeTuXI__RVB"
      },
      "outputs": [],
      "source": [
        "import numpy as np"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "DQzmF6NwhD7S"
      },
      "source": [
        "You can construct a set of points"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "xulQEeqABkyU"
      },
      "outputs": [],
      "source": [
        "a = np.array([1,2,3,4,5])\n",
        "b = np.array([2,1,3,5,4])"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "k-kNuRr_B41I"
      },
      "source": [
        "We can do some arithmetic operations on such kind of elements\n",
        "\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "tOu0abo0B4RQ",
        "outputId": "32bdffba-9390-4b39-c104-e1c45c6c8293"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "[3 3 6 9 9]\n",
            "[-1  1  0 -1  1]\n",
            "[ 2  2  9 20 20]\n",
            "[0.5  2.   1.   0.8  1.25]\n"
          ]
        }
      ],
      "source": [
        "Sum = a + b\n",
        "print(Sum)\n",
        "Diff = a - b\n",
        "print(Diff)\n",
        "Product = a * b\n",
        "print(Product)\n",
        "Division = a /b\n",
        "print(Division)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "kLYYUedPDKti"
      },
      "source": [
        "You can also create 1D NumPy array with N equally spaced values from a to b (inclusively)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "ZJ4igCx1DTq5",
        "outputId": "c8282028-98af-4570-9654-ee4cfe98e18e"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "[ 0.   0.1  0.2  0.3  0.4  0.5  0.6  0.7  0.8  0.9  1.   1.1  1.2  1.3\n",
            "  1.4  1.5  1.6  1.7  1.8  1.9  2.   2.1  2.2  2.3  2.4  2.5  2.6  2.7\n",
            "  2.8  2.9  3.   3.1  3.2  3.3  3.4  3.5  3.6  3.7  3.8  3.9  4.   4.1\n",
            "  4.2  4.3  4.4  4.5  4.6  4.7  4.8  4.9  5.   5.1  5.2  5.3  5.4  5.5\n",
            "  5.6  5.7  5.8  5.9  6.   6.1  6.2  6.3  6.4  6.5  6.6  6.7  6.8  6.9\n",
            "  7.   7.1  7.2  7.3  7.4  7.5  7.6  7.7  7.8  7.9  8.   8.1  8.2  8.3\n",
            "  8.4  8.5  8.6  8.7  8.8  8.9  9.   9.1  9.2  9.3  9.4  9.5  9.6  9.7\n",
            "  9.8  9.9 10. ]\n",
            "[ 1.          0.99500417  0.98006658  0.95533649  0.92106099  0.87758256\n",
            "  0.82533561  0.76484219  0.69670671  0.62160997  0.54030231  0.45359612\n",
            "  0.36235775  0.26749883  0.16996714  0.0707372  -0.02919952 -0.12884449\n",
            " -0.22720209 -0.32328957 -0.41614684 -0.5048461  -0.58850112 -0.66627602\n",
            " -0.73739372 -0.80114362 -0.85688875 -0.90407214 -0.94222234 -0.97095817\n",
            " -0.9899925  -0.99913515 -0.99829478 -0.98747977 -0.96679819 -0.93645669\n",
            " -0.89675842 -0.84810003 -0.79096771 -0.7259323  -0.65364362 -0.57482395\n",
            " -0.49026082 -0.40079917 -0.30733287 -0.2107958  -0.11215253 -0.01238866\n",
            "  0.08749898  0.18651237  0.28366219  0.37797774  0.46851667  0.55437434\n",
            "  0.63469288  0.70866977  0.77556588  0.83471278  0.88551952  0.92747843\n",
            "  0.96017029  0.98326844  0.9965421   0.99985864  0.99318492  0.97658763\n",
            "  0.95023259  0.91438315  0.86939749  0.8157251   0.75390225  0.68454667\n",
            "  0.60835131  0.52607752  0.43854733  0.34663532  0.25125984  0.15337386\n",
            "  0.05395542 -0.04600213 -0.14550003 -0.24354415 -0.33915486 -0.43137684\n",
            " -0.51928865 -0.6020119  -0.67872005 -0.74864665 -0.81109301 -0.86543521\n",
            " -0.91113026 -0.9477216  -0.97484362 -0.99222533 -0.99969304 -0.99717216\n",
            " -0.98468786 -0.96236488 -0.93042627 -0.88919115 -0.83907153]\n"
          ]
        }
      ],
      "source": [
        "# np.linspace(d1,dn,N): di: initial value, df:final value, N: number of gaps\n",
        "di = 0\n",
        "df = 10\n",
        "N = 101 # change the value of N to see how you can approach a sinusoïdal shape\n",
        "x = np.linspace(di,df,N)\n",
        "print(x)\n",
        "# We can also build a function Y from the set of x-values\n",
        "Y = np.cos(x)\n",
        "print(Y)\n",
        "\n",
        "# try to change N value to see how it can affect the plot shape"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "E-lYiJ5RD9iJ"
      },
      "source": [
        "let's plot Y(x)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 265
        },
        "id": "gG3AXCNOD_rN",
        "outputId": "b6c7af3c-a275-443e-8bc8-d16969d146d4"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "fig1, ax1 = plt.subplots()\n",
        "ax1.plot(x,Y, ms=10, marker='*', color='red')\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "[ 0.   0.1  0.2  0.3  0.4  0.5  0.6  0.7  0.8  0.9  1.   1.1  1.2  1.3\n",
            "  1.4  1.5  1.6  1.7  1.8  1.9  2.   2.1  2.2  2.3  2.4  2.5  2.6  2.7\n",
            "  2.8  2.9  3.   3.1  3.2  3.3  3.4  3.5  3.6  3.7  3.8  3.9  4.   4.1\n",
            "  4.2  4.3  4.4  4.5  4.6  4.7  4.8  4.9  5.   5.1  5.2  5.3  5.4  5.5\n",
            "  5.6  5.7  5.8  5.9  6.   6.1  6.2  6.3  6.4  6.5  6.6  6.7  6.8  6.9\n",
            "  7.   7.1  7.2  7.3  7.4  7.5  7.6  7.7  7.8  7.9  8.   8.1  8.2  8.3\n",
            "  8.4  8.5  8.6  8.7  8.8  8.9  9.   9.1  9.2  9.3  9.4  9.5  9.6  9.7\n",
            "  9.8  9.9 10. ]\n",
            "[ 1.          0.99500417  0.98006658  0.95533649  0.92106099  0.87758256\n",
            "  0.82533561  0.76484219  0.69670671  0.62160997  0.54030231  0.45359612\n",
            "  0.36235775  0.26749883  0.16996714  0.0707372  -0.02919952 -0.12884449\n",
            " -0.22720209 -0.32328957 -0.41614684 -0.5048461  -0.58850112 -0.66627602\n",
            " -0.73739372 -0.80114362 -0.85688875 -0.90407214 -0.94222234 -0.97095817\n",
            " -0.9899925  -0.99913515 -0.99829478 -0.98747977 -0.96679819 -0.93645669\n",
            " -0.89675842 -0.84810003 -0.79096771 -0.7259323  -0.65364362 -0.57482395\n",
            " -0.49026082 -0.40079917 -0.30733287 -0.2107958  -0.11215253 -0.01238866\n",
            "  0.08749898  0.18651237  0.28366219  0.37797774  0.46851667  0.55437434\n",
            "  0.63469288  0.70866977  0.77556588  0.83471278  0.88551952  0.92747843\n",
            "  0.96017029  0.98326844  0.9965421   0.99985864  0.99318492  0.97658763\n",
            "  0.95023259  0.91438315  0.86939749  0.8157251   0.75390225  0.68454667\n",
            "  0.60835131  0.52607752  0.43854733  0.34663532  0.25125984  0.15337386\n",
            "  0.05395542 -0.04600213 -0.14550003 -0.24354415 -0.33915486 -0.43137684\n",
            " -0.51928865 -0.6020119  -0.67872005 -0.74864665 -0.81109301 -0.86543521\n",
            " -0.91113026 -0.9477216  -0.97484362 -0.99222533 -0.99969304 -0.99717216\n",
            " -0.98468786 -0.96236488 -0.93042627 -0.88919115 -0.83907153]\n"
          ]
        },
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# np.linspace(d1,dn,N): di: initial value, df:final value, N: number of gaps\n",
        "di = 0\n",
        "df = 10\n",
        "N = 101 # change the value of N to see how you can approach a sinusoïdal shape\n",
        "x = np.linspace(di,df,N)\n",
        "print(x)\n",
        "# We can also build a function Y from the set of x-values\n",
        "Y = np.cos(x)\n",
        "Z = np.sin(x)\n",
        "print(Y)\n",
        "\n",
        "# try to change N value to see how it can affect the plot shape\n",
        "fig1, ax1 = plt.subplots()\n",
        "ax1.plot(x,Y)\n",
        "ax1.plot(x,Z)\n",
        "plt.grid()\n",
        "\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "OC7a2mYoEux0"
      },
      "source": [
        "We can also generate a random set of points"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 22,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "DSCfWnKmEuDr",
        "outputId": "ec4e589e-cf5d-41ad-84a3-6b243abe0b8e"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "[ 0.5  0.6  0.7  0.8  0.9  1.   1.1  1.2  1.3  1.4  1.5  1.6  1.7  1.8\n",
            "  1.9  2.   2.1  2.2  2.3  2.4  2.5  2.6  2.7  2.8  2.9  3.   3.1  3.2\n",
            "  3.3  3.4  3.5  3.6  3.7  3.8  3.9  4.   4.1  4.2  4.3  4.4  4.5  4.6\n",
            "  4.7  4.8  4.9  5.   5.1  5.2  5.3  5.4  5.5  5.6  5.7  5.8  5.9  6.\n",
            "  6.1  6.2  6.3  6.4  6.5  6.6  6.7  6.8  6.9  7.   7.1  7.2  7.3  7.4\n",
            "  7.5  7.6  7.7  7.8  7.9  8.   8.1  8.2  8.3  8.4  8.5  8.6  8.7  8.8\n",
            "  8.9  9.   9.1  9.2  9.3  9.4  9.5  9.6  9.7  9.8  9.9 10.  10.1 10.2\n",
            " 10.3 10.4]\n",
            "[ 2.33961713  3.80661038  2.00400697  3.31342057  2.15402373  2.07218447\n",
            "  1.94943074  1.28827384  0.77317902  0.43565361  0.15860864 -0.12308536\n",
            " -0.42826978 -0.56230919 -1.50000252 -1.17447432 -1.63706702 -1.69973235\n",
            " -2.58939096 -2.7574937  -3.04417557 -2.39710974 -2.58027401 -2.6012541\n",
            " -2.896069   -2.40814972 -2.49467919 -4.88344999 -4.81957291 -2.48007323\n",
            " -1.9411995  -2.34382756 -3.47681224 -3.43164803 -1.50180823 -2.44004417\n",
            " -1.15247977 -1.73866972 -1.57088647 -1.52341007 -0.58544165 -0.49431121\n",
            " -0.05712969  0.41721693  0.37426367  0.96685266  1.8688755   1.49777022\n",
            "  2.46208588  2.30988189  3.05618252  2.67941974  1.74232495  2.00089959\n",
            "  2.16506988  2.64405485  4.81284914  3.8818286   4.44935154  3.67304214\n",
            "  3.81461828  4.21495352  4.3707952   4.11910123  3.64990662  1.72086347\n",
            "  2.11055681  1.28150853  1.91443557  1.92453344  0.74645434  0.64473356\n",
            "  0.47491193  0.14745329 -0.20173139 -0.44468954 -0.95387308 -1.18034206\n",
            " -1.61787853 -2.5018798  -2.90809089 -1.58486376 -3.39186708 -2.46416908\n",
            " -1.99264883 -2.87026733 -3.346466   -4.76046287 -3.09032333 -2.03648293\n",
            " -4.56617162 -2.29760393 -3.30573985 -4.2333838  -3.15148364 -2.8023508\n",
            " -3.43561563 -1.47222589 -2.38250031 -1.81430771]\n"
          ]
        }
      ],
      "source": [
        "np.random.seed(5)\n",
        "x2 = 0.5+np.arange(0,10, 0.1)\n",
        "Y2 = np.random.uniform(2, 5, len(x2))*np.cos(x2)\n",
        "#Y2 = np.cos(x2)\n",
        "print(x2)\n",
        "print(Y2)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 23,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 265
        },
        "id": "zmOU_pZoFQpp",
        "outputId": "f4243f24-e167-41f0-fbcc-c61b87dac727"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "fig2, ax2 = plt.subplots()\n",
        "ax2.plot(x2,Y2, color='r')\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 29,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 265
        },
        "id": "wFXpMiz1fweK",
        "outputId": "12aedf24-1f8a-47a1-a09e-cc98726a3cb8"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# fill_between plotting\n",
        "# make data\n",
        "np.random.seed(1)\n",
        "x = np.linspace(0, 8, 16)\n",
        "y1 = 3 + 4*x/8 + np.random.uniform(0.0, 0.5, len(x))\n",
        "y2 = 1 + 2*x/8 + np.random.uniform(0.0, 0.5, len(x))\n",
        "\n",
        "# plot\n",
        "fig, ax = plt.subplots()\n",
        "\n",
        "ax.fill_between(x, y1, y2, alpha=.2, color='r', linewidth=0)\n",
        "ax.plot(x, (y1 + y2)/2, linewidth=2)\n",
        "\n",
        "ax.set(xlim=(0, 8), xticks=np.arange(1, 8),\n",
        "       ylim=(0, 8), yticks=np.arange(1, 8))\n",
        "\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 35,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 268
        },
        "id": "6ATBjTz9dOM5",
        "outputId": "88b06c58-03ac-4561-e131-7d6ba50c60c7"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# using imshow plotting\n",
        "# make data\n",
        "\n",
        "X, Y = np.meshgrid(np.linspace(-3, 3, 601), np.linspace(-3, 3, 601))\n",
        "#Z = (1 - X/2 + X**5 + Y**3) * np.exp(-X**2 - Y**2)\n",
        "Z = (1 - X/2 + X**5 + Y**3) * np.cos(-X**2 + Y**2)\n",
        "\n",
        "\n",
        "# plot\n",
        "fig, ax = plt.subplots()\n",
        "\n",
        "ax.imshow(Z)\n",
        "\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 269
        },
        "id": "ZzTlT6U_gnuv",
        "outputId": "b76db12d-b108-4c5a-c4e7-43d29b32dff0"
      },
      "outputs": [
        {
          "data": {
            "image/png": "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",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Using pcolormesh plotting\n",
        "# make data with uneven sampling in x\n",
        "x = [-3, -2, -1.6, -1.2, -.8, -.5, -.2, .1, .3, .5, .8, 1.1, 1.5, 1.9, 2.3, 3]\n",
        "X, Y = np.meshgrid(x, np.linspace(-3, 3, 64))\n",
        "Z = (1 - X/2 + X**5 + Y**3) * np.exp(-X**2 - Y**2)\n",
        "\n",
        "# plot\n",
        "fig, ax = plt.subplots()\n",
        "\n",
        "ax.pcolormesh(X, Y, Z, vmin=-0.5, vmax=1.0)\n",
        "\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 269
        },
        "id": "btTp7Vx0ggTp",
        "outputId": "835cb2b1-f833-4d35-b5a0-c4e9f8d10600"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# plotting with contour\n",
        "# make data\n",
        "X, Y = np.meshgrid(np.linspace(-3, 3, 256), np.linspace(-3, 3, 256))\n",
        "Z = (1 - X/2 + X**5 + Y**3) * np.exp(-X**2 - Y**2)\n",
        "levels = np.linspace(np.min(Z), np.max(Z), 7)\n",
        "\n",
        "# plot\n",
        "fig, ax = plt.subplots()\n",
        "\n",
        "ax.contour(X, Y, Z, levels=levels)\n",
        "\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 269
        },
        "id": "vclWMMk2hDld",
        "outputId": "82e98191-dfe9-44c7-dac7-dfb31b2b9b70"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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",
            "text/plain": [
              "<Figure size 432x288 with 2 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Plotting with contourf\n",
        "# make data\n",
        "X, Y = np.meshgrid(np.linspace(-3, 3, 256), np.linspace(-3, 3, 256))\n",
        "Z = (1 - X/2 + X**5 + Y**3) * np.exp(-X**2 - Y**2)\n",
        "levels = np.linspace(Z.min(), Z.max(), 50) # change the level interval to how it affects the resolution of coloring\n",
        "\n",
        "# plot\n",
        "fig, ax = plt.subplots()\n",
        "\n",
        "CS=ax.contourf(X, Y, Z, levels=levels, cmap='rainbow')\n",
        "plt.colorbar(CS)\n",
        "\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 269
        },
        "id": "6bUVXsGQimZO",
        "outputId": "9d9f451b-c1c7-40e3-83a3-b27067dd4bf5"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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Sw+uq6tXM3wH0z7qR32qzFng18I9VdTrwE2DV3mq6G/GcD3xh6CzLYYE3qJsp3whcX1U3DZ1nMd2f0NuAc4fOMsKZwPndfPlzwFlJPjNspNGqal/3735gC/N3BF1tHgAeOOSvrS8yX+ir1ZuBnVX1w6GDLIcF3pjuw8FrgD1V9bGh8ywkyVSSF3SvnwOcDdwzbKqnqqorq2p9VZ3E/J/St1TVxQPHeook67oPrelGEucAq+5sqar6X+B/kpzSrXojsKo+YD/MRTQ6PoEjcDfCliS5AXgDcHySB4APV9U1w6Z6ijOBS4A7u/kywFVV9aUBM41yAnBd9wn/s4DPV9WqPUWvAS8Btsz//mYt8Nmq+sqwkRb0PuD6bjyxF/ijgfOM1P0iPBt499BZlsvTCCWpUY5QJKlRFrgkNcoCl6RGWeCS1CgLXJIaZYFLUqMscElq1P8D+3L6J4CwoVwAAAAASUVORK5CYII=",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Plotting histrograms\n",
        "# make data\n",
        "np.random.seed(1)\n",
        "x = 4 + np.random.normal(0, 1.5, 200)\n",
        "\n",
        "# plot:\n",
        "fig, ax = plt.subplots()\n",
        "\n",
        "ax.hist(x, bins=8, linewidth=0.5, color='r', edgecolor=\"white\")\n",
        "\n",
        "ax.set(xlim=(0, 8), xticks=np.arange(1, 8),\n",
        "       ylim=(0, 56), yticks=np.linspace(0, 56, 9))\n",
        "\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Z7Os2MsCn-D0"
      },
      "source": [
        "# How to read your data file and plot it ?"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {
        "id": "FxC4uiBXoJR4"
      },
      "outputs": [],
      "source": [
        "# make necesseary importation\n",
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "import csv\n",
        "import os\n",
        "# read the file\n",
        "file = '.\\Sig_data\\endf-6_233U_tot_fission.txt'\n",
        "En = []\n",
        "Sigma = []\n",
        "with open(f'{file}', 'r') as csvfile:\n",
        "    plots = csv.reader(csvfile, delimiter=',')\n",
        "    next(plots, None) # skip the header\n",
        "    for row in plots:\n",
        "        En.append(float(row[0]))\n",
        "        Sigma.append(float(row[1]))\n",
        "    En = np.array(En)\n",
        "    Sigma = np.array(Sigma)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 299
        },
        "id": "fA3EVpC1o1Uz",
        "outputId": "4156edaf-1bc8-45d5-ba5b-e5a052156272"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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MftcVRk+ePGE+d4kSJfDs2TOb2lutWjWjZbdv30bt2rWNludv78cffwxfX19ERkaiZs2aiI+Px5EjRwweM3PmTFy8eBFBQUGIjIzElClTDD7ws7KycP/+ff1X3oHREokE8fHxOH36NB4+fIjNmzcjJiYGv//+O9555x39/a5evYqdO3cavcbt2rUDAP3rfP36dVSsWBGlS5e2KSNzdDnkz0qhUKB69epGr2vlypWNiq5SpUpZfF1ZdGN1WOu8ffs2KlSoYHSoxNRrbC1rsrT2/afLqWbNmgaPl8vlBn/07cHS/litWjUkJCRg6dKlCAgIQIcOHZCcnGwwXsgUa98zOgV5j6enp+P58+dmn0er1ZociyW2r7/+GkuWLMEXX3yBTp06mbxP1apV0a5dO7z77rtYtWoVqlevjnbt2hkVRPm99957KF++PPbu3StG090SjRnyQNWrV0efPn2wePFiJCYmGt2u1WrBcRx27NhhchZQ3j8O5noGNBqNTTOI7DETy9zzWeoteOWVV3Du3DkolUqjgsycwrS3Tp06SE1NxbZt27Bz506sX78e8+fPx6RJkzB16lQAQM+ePdGyZUts3LgRu3fvxtdff42vvvoKGzZsQExMDGbNmqW/LyB8aJo6qWGZMmXQpUsXdOnSRT8+4vbt26hatSq0Wi1ef/11jB8/3mQ7a9WqVeBttKeCvq4FWWdBcRxnsj35B2Rbw5b3X1GxtD8CwOzZs9GvXz9s3rwZu3fvxsiRI5GUlITjx4+jcuXKdmmHGPtCQelm3JkrTJ4/f252Vt7y5cvx8ccf48MPPzSYnGFJjx49sGTJEhw8eNCoZzq/oKAgPH782Op1ezoqhjzUZ599hpUrV+Krr74yui0kJAQ8z6NatWoW/yCWKlXK5Oya27dvG/x3WpDDKVWrVsWff/4JrVZr0DukmzGkGyxcWLGxsTh27BjWr19vcEjOVlWrVkVqaqrRclPtLV68OHr16oVevXpBqVSie/fumD59OiZMmKD/AK1QoQKGDRuGYcOG4cGDB2jUqBGmT5+OmJgY9O3b1+DQgjXFWePGjZGSkoL//vsPVatWRUhICLKysvQ9QeaEhIRg165dePz4MbNHw9rXWJdDamqqwT6iVCpx8+ZNi+0pKlWrVsW+ffuQlZVlUICYeo1LlSpl8lBN/p4Na7K09v2ny/Hq1ato06aNfrlKpcLNmzfRsGFD9gbaiLU/6tSvXx/169fHZ599hqNHj+K1117DwoULMW3aNLPbYO17pqACAwPh4+Nj9nkkEglzsLk5efdjU1JTU022f/PmzRg0aBC6d++O5ORkm55TV3hZ6nHjeR63bt1CeHi4Tev3ZHSYzEOFhISgT58+WLRokX42g0737t0hlUoxdepUo/+4eJ7Ho0ePDNZz/Phxg6me27ZtM+p2Ll68OADYdCbnTp064f79+1i9erV+mVqtxnfffQdfX19ERUVZvS6WDz/8EBUqVMBHH32EK1euGN3+4MEDsx/m+dv7xx9/4NixY/pl2dnZWLx4MYKDgxEaGgoABvkBwuGh0NBQ8DwPlUoFjUZj9GFXtmxZVKxYETk5OQCg7y7Xfemm0t+/f99onAUgFBr79u2DRCLRn8ukZ8+eOHbsGHbt2mV0/6dPn0KtVgMA3nrrLfA8b9ATpZN3/yhevLhVr2+7du2gUCjw7bffGjz+hx9+QEZGBt544w2L6zDF2qn11urUqRPUajUWLFigX6bRaEyetDQkJAR///23weHK8+fPGx3+tCZLa99/jRs3RmBgIBYuXGjw/lu+fLldz5huzf6YmZmp31906tevD4lEor+PKda+ZwpDKpWiffv22Lx5s0HvaVpaGn755Re0aNECJUqUsHm9FSpUQFhYGFauXGmU9+nTp3H8+HGDQhEADh48iHfeeQetWrXCqlWrzJ6A0tz5wH744QdwHGcwo9TUfRcsWID09HR07NjRxq3yXNQz5ME+/fRT/Pzzz0hNTTU4/0VISAimTZuGCRMm4NatW+jWrRv8/Pxw8+ZNbNy4ER988AHGjh0LABg0aBDWrVuHjh07omfPnrh+/TpWrlxpNK06JCQEJUuWxMKFC+Hn54fixYujadOmJsfe6HzwwQdYtGgR+vXrh9OnTyM4OBjr1q3DkSNHMG/ePJsHPZtTqlQpbNy4EZ06dUJYWJjBGajPnDmDX3/9Fc2aNbO4nsTERPz666+IiYnByJEjUbp0aaxYsQI3b97E+vXr9R987du3R/ny5fHaa6+hXLlyuHz5Mr7//nu88cYb8PPzw9OnT1G5cmX06NEDDRs2hK+vL/bu3YuTJ09i9uzZzDb8+++/iIyMRJs2bdC2bVuUL18eDx48wK+//orz589j9OjR+im848aNw5YtW9C5c2f069cPERERyM7OxoULF7Bu3TrcunULAQEBaN26Nd5//318++23uHr1Kjp27AitVotDhw6hdevW+jP1RkREYO/evZgzZw4qVqyIatWqoWnTpkZtDAwMxIQJEzB16lR07NgRXbp0QWpqKubPn48mTZoYDJa2hS1T660RGxuL1157DYmJibh16xZCQ0OxYcMGk/+VDxgwAHPmzEGHDh0wcOBAPHjwAAsXLkTdunUNBudak6W17z+5XI5p06ZhyJAhaNOmDXr16oWbN2/ixx9/tOuYoWfPnlncH3///XcMHz4cb7/9NmrVqgW1Wo2ff/4ZUqkUb731ltl1W/ueKaxp06Zhz549aNGiBYYNGwaZTIZFixYhJyfH5DmrrKV7zcPCwtCvXz9UrFgRly9fxuLFi1GhQgVMmDBBf9/bt2+jS5cu4DgOPXr0wNq1aw3W1aBBAzRo0ACAcGqFI0eOoGPHjqhSpQoeP36M9evX4+TJkxgxYoT+HxpA6KHq1auX/rxVhw8fxv/+9z+EhYVhyJAhBd42j1Okc9eIQ5iaXqyjm2Zsanrt+vXr+RYtWvDFixfnixcvzr/yyit8fHw8n5qaanC/2bNn85UqVeK9vLz41157jT916pTJqcabN2/mQ0NDeZlMZjA12dz0Xp7n+bS0NL5///58QEAAr1Ao+Pr16xtNz2dNh0W+KcIs9+7d48eMGcPXqlWL9/b25n18fPiIiAh++vTpBlNUq1atyr/xxhsm13H9+nW+R48efMmSJXlvb28+MjKS37Ztm8F9Fi1axLdq1YovU6YM7+XlxYeEhPDjxo3TP0dOTg4/btw4vmHDhryfnx9fvHhxvmHDhvz8+fMtbkNmZib/zTff8B06dOArV67My+Vy3s/Pj2/WrBm/ZMkSg6nwPC9MY54wYQJfo0YNXqFQ8AEBAXzz5s35WbNm8UqlUn8/tVrNf/311/wrr7zCKxQKPjAwkI+JieFPnz6tv8/ff//Nt2rVii9WrBgPQD+FOv/Uep3vv/+ef+WVV3i5XM6XK1eOHzp0KP/kyROD+5jbN/JPWdfdN/9Hmrmp9cWLFzda5+TJk40e/+jRI/7999/nS5Qowfv7+/Pvv/++fhp5/v1w5cqVfPXq1XmFQsGHhYXxu3btMtlOa7Lkeevff/Pnz+erVavGe3l58Y0bN+YPHjxodqp/ftZMrbdmf7xx4wY/YMAAPiQkhPf29uZLly7Nt27dmt+7d6/Bek2disOa94y5aey6976pU3bkd+bMGb5Dhw68r68v7+Pjw7du3Zo/evSoyfVZM7Ve5/jx43znzp35UqVK8TKZjK9UqRI/aNAg/t9//zW5Dea+8n5O7d69m+/cuTNfsWJF/Xv4tdde43/88Uej9/CgQYP40NBQ3s/Pj5fL5XyNGjX4jz/+WH/qEWIdjufpdJWEEEII8Vw0ZogQQgghHo2KIUIIIYR4NCqGCCGEEOLRqBgihBBCiEejYogQQgghHo2KIUIIIYR4NI8/6aJWq8W9e/fg5+dXoEtGEEIIIaTo8TyPZ8+eoWLFioU+QafHF0P37t0r0HVpCCGEEOJ4d+7cKfTFgD2+GNJd0uHOnTsFuj6Nq8jJycGcOXOQkJAALy8vRzfHKVFGbJQPG+XDRvlYRhmx5c8nMzMTQUFBdrk0k8cXQ7pDYyVKlHD7Ysjb2xslSpSgN5kZlBEb5cNG+bBRPpZRRmzm8rHHEBePHUCdnJyM0NBQNGnSxNFNIYQQQogDeWwxFB8fj0uXLuHkyZOObkqRkMlkiI2NhUzm8Z2BZlFGbJQPG+XDRvlYRhmxiZmPx1+oNTMzE/7+/sjIyHDrw2SEEEKIO7Hn32+P7RnyNEqlEvPnz4dSqXR0U5wWZcRG+bBRPmyUj2WUEZuY+VAx5CF4nkd6ejo8vCOQiTJio3zYKB82yscyyohNzHyoGCKEEEKIR6NiiBBCCCEejQZQe8gAaq1Wixs3bqB69eqFPm25u6KM2CgfNsqHjfKxjDJiy5+PPf9+UzHkIcUQIYQQ4k5oNhmxWU5ODpKSkpCTk+PopjgtyoiN8mGjfNgoH8soIzYx8/HYYsgTz0BN0zUto4zYKB82yoeN8rGMMmITKx+PLYY87QzUhBBCCDHNY4shsf3zD7BunaNbQQghhBBLaAC1SAOoP/kEmDkT2LgRiI2122oLTKvV4uHDhwgICKBZCmZQRmyUDxvlw0b5WEYZseXPhwZQu4AvvgC6dgV69gQOH3Z0awCO4+Dv7w+O4xzdFKdFGbFRPmyUDxvlYxllxCZmPlQMiUQqBVatAl59FejcGfjzT8e2R6lUYsaMGTQ4j4EyYqN82CgfNsrHMsqITcx8qBgSkbc3sHkzUK0a0LEjcPOmo1tECCGEkPyoGBJZiRLAzp2Ajw/Qvj3w4IGjW0QIIYSQvKgYKgLlygG7dwNZWUBMDJCZ6egWEUIIIUSHZpMV4eU4zp8HWrUCGjcGfvsN8PIS9ekM8DwPpVIJhUJBg/PMoIzYKB82yoeN8rGMMmLLnw/NJnNRDRsCW7cCR44AffoAGk3RPTfP88jIyICH175MlBEb5cNG+bBRPpZRRmxi5kPFUBFr1Qr43/+ADRuA4cOBotrnVSoVFixYAJVKVTRP6IIoIzbKh43yYaN8LKOM2MTMh4ohB+jWDVi8GFi4EJg61dGtIYQQQjybzNENcJTk5GQkJydDU5THqvIYOFCYWfbJJ0BgIBAf75BmEEIIIR7PY4uh+Ph4xMfH6wdgOUJiolAQjRghFEQ9e4r7fAqFQtwncAOUERvlw0b5sFE+llFGbGLlQ7PJinA2mSlaLdC3L7BmjTDDrF27Im8CIYQQ4nJoNpkbkUiAH38UiqBu3YCTJ8V5Hq1Wi2vXrkGr1YrzBG6AMmKjfNgoHzbKxzLKiE3MfKgYcgJyObB2LVC/PtCpE5Caav/nUKlUWLVqFc1SYKCM2CgfNsqHjfKxjDJiEzMfKoacRPHiwLZtwtihDh2Au3cd3SJCCCHEM1Ax5ETKlAF27RLGEXXoADx+7OgWEUIIIe6PiiEnExQkFET//QfExgLPn9tnvRzHITAwkE7xzkAZsVE+bJQPG+VjGWXEJmY+NJvMwbPJzDlxAmjTBmjdGti4URhXRAghhBABzSbzAE2bCpfs2LULGDRIOHRWGBqNBmfOnHHYSSZdAWXERvmwUT5slI9llBGbmPlQMeTEOnQAVqwAfvoJ+Pjjwq1LrVZj69atUKvV9mmcG6KM2CgfNsqHjfKxjDJiEzMfjz0Dtat47z3g4UNg1CigbFlg3DhHt4gQQghxL1QMuYCRI4XLdowfL0y979fP0S0ihBBC3AcVQy7iiy+EgmjQIGEKfmysbY/nOA4hISE0S4GBMmKjfNgoHzbKxzLKiE3MfGg2mZPOJjNFowHefhvYsQPYswdo0cLRLSKEEEIcg2aTeSipFPjlF2GmWWwscOGC9Y9Vq9U4cOAADcxjoIzYKB82yoeN8rGMMmITMx8qhlyMtzeweTMQHCzMNrt1y7rHaTQapKSk0JRNBsqIjfJho3zYKB/LKCM2MfOhYsgF+fsLh8qKFQPatxfGEhFCCCGkYKgYclHlywO7dwOZmcKV7p89c3SLCCGEENfkNsXQ8+fPUbVqVYwdO9bRTSkyISHAzp3A1avAm28COTnm7yuRSBAeHg6JxG1ecrujjNgoHzbKh43ysYwyYhMzH7eZTfbpp5/i2rVrCAoKwqxZs6x+nCvNJjMnJUUYPxQbC/zvf8JAa0IIIcSd0WyyfK5evYq///4bMTExjm6KQ0RFCUXQhg3AiBGAqfJWpVJhy5YtUKlURd9AF0EZsVE+bJQPG+VjGWXEJmY+Di+GDh48iNjYWFSsWBEcx2HTpk1G90lOTkZwcDC8vb3RtGlT/PHHHwa3jx07FklJSUXUYufUrRuwaBGwYAHw+efGt2u1Wpw9exbawl7x1Y1RRmyUDxvlw0b5WEYZsYmZj8PPQJ2dnY2GDRtiwIAB6N69u9Htq1evRkJCAhYuXIimTZti3rx56NChA1JTU1G2bFls3rwZtWrVQq1atXD06FGLz5eTk4OcPINrMjMzjZZLJBLI5XKoVCqD0KVSKWQyGZRKJfIeXZTJZJBKpUbL5XI5JBKJwfPplnMcB6VSabBcoVCA53mjqtfLywtardZgOcdxUCgU0Gg0+nMuvP8+cP++FBMnylC6tAYffJB7LgbdY/Ov29m3Ke9ytVptMKVSrNdJ992dtinv8oJuk25dSqUSXl5ebrFN+dtemG3K2y532SbAfq+TqZxcfZvs/Trl/Qxyl22y5+uka6vusfnbWBgOL4ZiYmKYh7fmzJmDwYMHo3///gCAhQsXYvv27Vi2bBkSExNx/Phx/O9//8PatWuRlZUFlUqFEiVKYNKkSSbXl5SUhKlTp5p8Hm9vbwBAeHg4unTpgh07duDs2bP6+0RFRSE6Ohpr1qzB9evX9ctjY2PRqFEjLF26FOnp6frlvXv3Ro0aNTBnzhyDF23o0KHw9/fHjBkzDNqQmJiIjIwMLFiwQL9MoVBgwoQJuHHjBlatWqVfHhgYiGHDhuH8+fPYunWrfnn16iEYNaoPRo2S4ODBLahX7xIAoEGDBgCAPXv24M8//3SpbQoJCUGfPn1w+PBhpKSk6Jfb+3VKTk4GAMydO9dttkmM1+mnn35CfHy8W22TvV4nHXfaJnu9TgMHDgSQ+/5yh20S63WaO3eu220TYL/X6eLFi4iMjMSKFStgL041gJrjOGzcuBHdunUDIFR9Pj4+WLdunX4ZAMTFxeHp06fYvHmzweOXL1+OixcvMgdQm+oZCgoKwoMHD/QDsFy98pbJFOjdW4v16zls2qRC27Y8tFotTpw4gaZNmxqMxHeVbSqK/5Cys7Nx7NgxNGvWDDKZzC22yZ6vk1qtxrFjx9C8eXP4+Pi4xTblb3thtkmtVuPEiRNo1aoVtFqtW2wTYL/XieM4HDlyBJGRkZDJcv8Pd+Vtsvfr9PLlS/1nkFwud4ttsufrpPsMatmyJby8vPDw4UMEBgbaZQC1UxdD9+7dQ6VKlXD06FE0a9ZMf7/x48cjJSUFJ06cMHi8NcVQfu4wm8wUpRLo2hU4fBjYvx9o3NjRLSKEEELsh2aTmdGvXz+bCiF3plAA69YBdesCMTHAxYtKrFy50q7HWN2NUkkZsVA+bJQPG+VjGWXEJmY+Tl0MBQQEQCqVIi0tzWB5WloaypcvX6h1JycnIzQ0FE2aNCnUepxZ8eLA9u1AYCDwxhtynD2bBifqCHQ6PM/j+vXrlJEZlA8b5cNG+VhGGbGJmY9TF0MKhQIRERHYt2+ffplWq8W+ffsMDpsVRHx8PC5duoSTJ08WtplOrUwZYNcuQKMBVq7sgydPHN0iQgghxLk4vBjKysrCuXPncO7cOQDAzZs3ce7cOfzzzz8AgISEBCxZsgQrVqzA5cuXMXToUGRnZ+tnlxHLgoKA7dtVePbMD927y/H8uaNbRAghhDgPh0+tP3XqFFq3bq3/PSEhAYAwY2z58uXo1asX0tPTMWnSJNy/fx9hYWHYuXMnypUr56gmu6R69aRYsOAGhg2rjV69hLNVy+WObpVzkclkiI2NNZjpQnJRPmyUDxvlYxllxCZmPk41m6woJScnIzk5GRqNBleuXHG72WTm7NwpXMOsd2/gxx8BjnN0iwghhBDb0WwyO/CUMUM6SqUS8+fPR5s2SqxYAaxYAXz8saNb5Vx0GdFMDtMoHzbKh43ysYwyYhMzH+qL8xA8zyM9PR08z+O994D0dGD0aGGm2bhxjm6dc8ibETFG+bBRPmyUj2WUEZuY+VAx5KFGjQIePADGjwfKlgXi4hzdIkIIIcQxqBjyYNOmCQXRwIHCFPzOnR3dIkIIIaTo0QBqDxlArdVqcePGDVSvXt3g2mRqNfD228LA6j17gBYtHNhIBzOXERFQPmyUDxvlYxllxJY/H3sOoPbYYkjHXa9NZouXL4GOHYHz54GDB4H69R3dIkIIIYSNZpMRm+Xk5CApKcnoCsUA4O0NbN4MVK0qFEW3bhV9+5wBKyNC+VhC+bBRPpZRRmxi5kPFkAdhTUf09xcOlXl7A+3bC2OJPBFNaWWjfNgoHzbKxzLKiE2sfKgYInrlywO7dwOZmUCnTsCzZ45uESGEECI+jy2GPOGq9QUREgLs2AFcvQq8+SZAvbWEEELcHQ2g9pAB1FqtFg8fPkRAQIBVsxQOHBDGD3XpAvz6KyCVit9GR7M1I09D+bBRPmyUj2WUEVv+fGgANbEZx3Hw9/cHZ+XFyKKjhSJo/Xpg5EjAE0pmWzPyNJQPG+XDRvlYRhmxiZkPFUMeQqlUYsaMGTYNPnvzTWDhQmD+fODzz0VsnJMoSEaehPJho3zYKB/LKCM2MfOhM1ATpsGDheuYffqpcNmOoUMd3SJCCCHEvqgYIhZNmCBMtY+PBwIChDNWE0IIIe7CY4uhvJfjIGwcB8yZI/QQ9e4NlC4NtG3r6FYRQggh9kGzyTxkNhnP81AqlVAoFAUefKZUCrPLjhwRZptFRNi3jY5mj4zcGeXDRvmwUT6WUUZs+fOh2WTEZjzPIyMjA4WpfRUKYXZZ3bpATAxw5YodG+gE7JGRO6N82CgfNsrHMsqITcx8qBjyECqVCgsWLIBKpSrUeooXB7ZvB8qUES7bce+enRroBOyVkbuifNgoHzbKxzLKiE3MfKgYIjYrUwbYtQvQaIAOHYAnTxzdIkIIIaTgqBgiBVKlilAQ3bsHxMYCz587ukWEEEJIwVAx5EEUCoVd1xcaKhwyO3sW6NULcIeeXXtn5G4oHzbKh43ysYwyYhMrH5pN5iGzycS0Y4cwy6xPH2DZMmEqPiGEECImmk1mB5521XqtVotr165Bq9Xafd0xMcDy5cJXYqLdV19kxMzIHVA+bJQPG+VjGWXEJmY+HlsMxcfH49KlSzh58qSjm1IkVCoVVq1aJdoshd69gXnzgJkzgVmzRHkK0YmdkaujfNgoHzbKxzLKiE3MfDz2DNTE/kaNAtLSgHHjhOuY9e3r6BYRQgghllExROxq+nThOmYDBghT8N94w9EtIoQQQtg89jCZp+E4DoGBgaKf4p3jgIULhen2b78tXLrDVRRVRq6K8mGjfNgoH8soIzYx86HZZDSbTBQvXwonZPzzT+DQIaBePUe3iBBCiDuh2WTEZhqNBmfOnIFGoymS5/P2BrZsAapWFYqi27eL5GkLpagzcjWUDxvlw0b5WEYZsYmZDxVDHkKtVmPr1q1Qq9VF9pz+/sDOnUJh1L49kJ5eZE9dII7IyJVQPmyUDxvlYxllxCZmPlQMEVGVLw/s3g08fQp06gQ8e+boFhFCCCGGqBgiogsJEXqIUlOB7t2BnBxHt4gQQgjJ5bHFkKedgZrjOISEhDhslkJ4uDCG6OBBIC5OuOK9s3F0Rs6O8mGjfNgoH8soIzYx86HZZDSbrEht2CBMuR86FPjuO7qOGSGEkIKh2WTEZmq1GgcOHHD4wLzu3YXzECUnA1984dCmGHGWjJwV5cNG+bBRPpZRRmxi5kPFkIfQaDRISUlxiimbgwcD06YBkycLhZGzcKaMnBHlw0b5sFE+llFGbGLmQ5fjIA7xySfCZTuGDQMCAoAePRzdIkIIIZ6KiiHiEBwHzJ0rnHuod2+gVCmgbVtHt4oQQognosNkHkIikSA8PBwSifO85BIJsHw5EB0NdOsGnD7t6PY4X0bOhPJho3zYKB/LKCM2MfOh2WQ0m8zhsrKEXqGbN4ULu9as6egWEUIIcXY0m4zYTKVSYcuWLVCpVI5uihFfX2D7dqBMGeGyHffuOaYdzpyRM6B82CgfNsrHMsqITcx8qBjyEFqtFmfPnoVWq3V0U0wKCAB27QLUaqBjR+HyHUXN2TNyNMqHjfJho3wso4zYxMyHiiHiNKpUEQqif/8FYmOBFy8c3SJCCCGegIoh4lRCQ4VDZmfOAL16CT1FhBBCiJioGPIQUqkUUVFRkEqljm6KRc2aAevWATt2CCdoLKoh/q6UkSNQPmyUDxvlYxllxCZmPjSbjGaTOa2VK4H33wfGjwe++srRrSGEEOJMaDaZHXjaVeuVSiVWrlwJpVLp6KZYrU8f4cSMM2cCs2eL/3yumFFRonzYKB82yscyyohNzHw89gzU8fHxiI+P11eW7o7neVy/fh2u1hE4ejSQlgaMHQsEBgJ9+4r3XK6aUVGhfNgoHzbKxzLKiE3MfDy2GCKu48svheuYDRggnIvojTcc3SJCCCHuxGMPkxHXwXHAokVA587A228DR486ukWEEELcCRVDHkImkyE2NhYymWt2BspkwK+/Ak2aCD1DFy+K8RyunZHYKB82yoeN8rGMMmITMx+aTUazyVzK06dAVBTw8KHQQ1S1qqNbRAghxBFoNhmxmVKpxPz5811+lkLJksDOnYCXl3Ads/R0+63bXTISC+XDRvmwUT6WUUZsYuZDxZCH4Hke6enpbjFLoUIFYPduoZeoUyfg2TP7rNedMhID5cNG+bBRPpZRRmxi5kPFEHFJNWoIPUSpqUD37kBOjqNbRAghxFVRMURcVng4sHkzcPAgEBcH0IWeCSGEFIRVA6i3bNli84pff/11FCtWrECNKkqeMoBaq9Xixo0bqF69OiQS96qBN2wQptwPGwZ8+60wFb8g3Dkje6B82CgfNsrHMsqILX8+9vz7bVUxZOuLwnEcrl69iurVqxe4YUXFU4ohd7d4MTBkCPD558DEiY5uDSGEELE5ZDbZ/fv3odVqrfry8fEpVKOI/eXk5CApKQk5bjq45oMPgC++ACZNAhYuLNg63D2jwqJ82CgfNsrHMsqITcx8rDpzUVxcnE2HvPr06UO9LE7I3adrfvqpcNmOYcOAgACgRw/b1+HuGRUW5cNG+bBRPpZRRmxi5WNVMfTjjz/atNIFCxYUqDGEFAbHAfPmCSdk7N0bKF0aaNPG0a0ihBDi7GiEFnErEgmwfDkQHQ107QqcPu3oFhFCCHF2Nl+OIzs7GzNmzMC+ffvw4MEDaPPNZ75x44ZdGyg2TxlArdVq8fDhQwQEBHjELIWsLKBtW+DmTeDIEaBmTcuP8bSMbEX5sFE+bJSPZZQRW/587Pn32+arnQ0aNAgpKSl4//33UaFCBXAFncdMihTHcfD39/eY18vXF9i+HWjRQrhsx5EjQMWK7Md4Wka2onzYKB82yscyyohNzHxsLj137NiBtWvX4quvvsLo0aMxatQog6+i9vTpUzRu3BhhYWGoV68elixZUuRtcAVKpRIzZszwqMF5AQHCZTtUKqBjR+HyHSyemJEtKB82yoeN8rGMMmITMx+be4ZKlSqF0qVL270hBeXn54eDBw/Cx8cH2dnZqFevHrp3744yZco4umnECVSpAuzaBbRsCcTGCsWRC5wLlBBCSBGyuWfoiy++wKRJk/D8+XMx2mMzqVSqP69RTk4OeJ6ni9wRA3XrCofMTp8G3nkHUKsd3SJCCCHOxOZiaPbs2di1axfKlSuH+vXro1GjRgZftjp48CBiY2NRsWJFcByHTZs2Gd0nOTkZwcHB8Pb2RtOmTfHHH38Y3P706VM0bNgQlStXxrhx4xAQEGBzO4h7a9YMWL8e+O034QSNVC8TQgjRsXk22dSpU5m3T5482aYG7NixA0eOHEFERAS6d++OjRs3olu3bvrbV69ejb59+2LhwoVo2rQp5s2bh7Vr1yI1NRVly5Y1WFdaWhq6d++ODRs2oFy5ciafLycnx+DslZmZmQgKCsKDBw/0o9ElEgnkcjlUKpXBbDmpVAqZTAalUmnQ+ySTySCVSo2Wy+VySCQSo7NlyuVycBxndNxToVCA53moVCqD5V5eXtBqtQbLOY6DQqGARqOBOk9Xh265Wq2GRqMxWM7zvP67O2xTQV6nX3+V4v33gbFj1Zg2TWOwTS9fvoRSqYRCoQDHcS6zTUX1OvE8D6VSCS8vL3h5ebnFNuVve2G2ied5aDQa+Pj46PNy9W0C7Pc6yWQyffvyDoB15W2y9+ukUqn0n0ESicQttsmer5PuM8jHxwcymQwPHz5EYGBg0c8mU6vV4DgOAwYMQOXKlQv1xDoxMTGIiYkxe/ucOXMwePBg9O/fHwCwcOFCbN++HcuWLUNiYqLBfcuVK4eGDRvi0KFD6GHm9MNJSUkmC7o5c+bA29sbABAeHo4uXbpgx44dOHv2rP4+UVFRiI6Oxpo1a3D9+nX98tjYWDRq1AhLly5Fenq6fnnv3r1Ro0YNzJkzx2DHGjp0KPz9/TFjxgyDNiQmJiIjI8PgpJUKhQITJkzAjRs3sGrVKv3ywMBADBs2DOfPn8fWrVv1y0NCQtCnTx8cPnwYKSkp+uVhYWFo1qwZjh07hnPnzrnFNhXkderTpxE2bTqMWbNa4M8/96F58+P6bZo7d65LblNRv04BAQGIj493q22y1+vUuHFjxMTEuNU22et1GjJkCNRqNX744Qe32SZ3fJ1cYZs6d+6MiIgIrFixAvZic8+Qn58fLly4gODgYLs1Qt8YjjPoGdJVgOvWrTPoLYqLi8PTp0+xefNmpKWlwcfHB35+fsjIyMBrr72GX3/9FfXr1zf5HJ7aM6RSqTB79mx89NFHkMvlbrFNhXmdPv1UglmzZPjhBxX69ZPqz1kxd+5cjBkzBl5eXi63TWK/Tjk5OZg7dy4SEhLg5+fnFtuUv+2F2SZdPomJiUY9sK66TYD9XietVouZM2fq31/usE32fp2ys7P1n0He3t5usU32fJ1077Fx48bBx8fHcT1DANCmTRukpKSIUgzl9/DhQ2g0GqNDXuXKlcPff/8NALh9+zY++OADfRfaiBEjzBZCAPRd/NYsz1s05KVQKGxabur5zC3nOM7kcolEYnK5VCqFVCo1Wi6TySCTGb+8crnc5HpcfZtMYW3TzJnA48fABx/IUa4c8MYbuW3Pvy+4yjaZIsbrpHsud9omHdom8bZJ90fX1Getq24Ta3lBtinvZ5CuDa6+TWK8Trp1mtumgrC5GIqJiUFiYiIuXLiAiIgIFC9e3OD2Ll262K1x1oiMjDQ47EOINTgOWLRIuI7Z228De/cCERGObhUhhBBHsLkYGjZsGABhjE1+HMcZdH0VVkBAAKRSKdLS0gyWp6WloXz58oVad3JyMpKTk+3aXmdnzyraHchkwP/+B3ToAHTuDOzbx1FGFljKZ88eoHx5gNE569Zo/2GjfCyjjNjEysfmMUNiyj9mCACaNm2KyMhIfPfddwCE485VqlTB8OHDjQZQF4SnXJuMmPf0KRAVBTx6JFy2o2pVR7fIdekmCTnPpwohxF3Z8++3w68El5WVhXPnzukPdd28eRPnzp3DP//8AwBISEjAkiVLsGLFCly+fBlDhw5Fdna2fnYZsY5Wq8W1a9eMLqxLgJIlgZ07AbmcR5s2Sjx4QBmZYmkfysoq4gY5GXqPsVE+llFGbGLmU6BiKDs7G7/99hsWLlyIb7/91uDLVqdOnUJ4eDjCw8MBCMVPeHg4Jk2aBADo1asXZs2ahUmTJiEsLAznzp3Dzp07zZ5HiJimUqmwatUqo5kARFChArBtmwppaUq88Qb9YTfF0j50/34RN8jJ0HuMjfKxjDJiEzMfm8cMnT17Fp06dcLz58+RnZ2N0qVL4+HDh/Dx8UHZsmUxcuRIm9YXHR1t8fIZw4cPx/Dhw21tKpMnjhkibDVq8OjdexV+/fUDdO8ObNsG0OF762Vk5P7M87mHzAghxNnZ3DM0ZswYxMbG4smTJyhWrBiOHz+O27dvIyIiArNmzRKjjaKIj4/HpUuXcPLkSUc3hTiRihXvY+1aFVJSgL59Aeqttt7Tp7k/U88aIcSV2FwMnTt3Dh999BEkEgmkUilycnIQFBSEmTNn4pNPPhGjjcQOOI5DYGCgwWnwiSFdRq1bA7/8AqxZA4waRYOBdSztQ3l7hvL+XFh9+gB55lQ4LXqPsVE+llFGbGLmY/NsssDAQBw9ehQ1a9ZErVq18N1336FDhw74+++/ERERgezsbLs3Ukw0m4yYs2gR8OGHwBdfAJ995ujWOL9ly4CBA4WfL18GXnnFPuulGWqEEFMcOpssPDxcf2gpKioKkyZNwqpVqzB69GjUq1evUI0h4tFoNDhz5gyNkWLIn9GQIcDnnwMTJwqFkaeztA95+mEyeo+xUT6WUUZsYuZjczH05ZdfokKFCgCA6dOno1SpUhg6dCjS09OxePFiuzdQLMnJyQgNDUWTJk0c3ZQioVarsXXrVoPrxBBDpjL67DNg+HBg6FBg/XoHNs4JWNqH8h4ae/ZM+H7rFvDkifhtcwb0HmOjfCyjjNjEzMfm2WSNGzfW/1y2bFns3LnTrg0qKvHx8YiPj9d3sxFiCscB33wjXLbjvfeE8xG1bu3oVjmnp0+BgAAhK13PULVqQOXKwJ07Dm0aIYQw2VwM6Tx48ACpqakAgFdeeQWBgYF2axQhzkQiAVasEC7s2rUrcOAA0KiRo1vlfJ4+BYKChGJI1zMEAP/+67AmEUKIVWw+TPbs2TO8//77qFSpEqKiohAVFYWKFSuiT58+yLDnFBJiVxzHISQkhGYpMLAyUiiEw2SvvALExADXrjmggQ5maR96+hSoWFHoTfPEMUP0HmOjfCyjjNjEzMfm2WS9evXC2bNn8d1336FZs2YAgGPHjmHUqFEICwvD//73P7s3Ukw0m4zYIj0daNkSUCqF65j9//A5AuH6blWqAJs3A1OmAAkJ9pkJRrPJCCGmOHQ22bZt27Bs2TJ06NABJUqUQIkSJdChQwcsWbIEW7duLVRjipInDqA+cOAADcxjsCajwEBg1y6hGOrY0XAGlbuzlM/Tp8J13nx9DQ+TeQp6j7FRPpZRRmxi5mNzMVSmTBmTA479/f1RqlQpuzSqKHjaGag1Gg1SUlJoyiaDtRlVrSoURHfuAF26AC9eFFEDHcxSPrpiyM+v6A6TOVNvEb3H2CgfyygjNjHzsbkY+uyzz5CQkID7ea7KeP/+fYwbNw4TJ060a+MIcVZ16wrXLjt1CnjnHYD+kSv6nqHMTGFw+6+/iv9chBD3ZtVssvDwcIMBS1evXkWVKlVQpUoVAMA///wDLy8vpKenY8iQIeK0lBAn07w5sG6d0Ds0ZAiwdKnnXpxUoxGKE10xlJUl/nXdMjOF7+vXA+++K+5zEULcm1XFUDdXuDAQYZJIJAgPD4dEYnNnoMcoSEadOgmXoYiLE86nM3WqiA10MFY+usIk72EypVLs9gjfneViuvQeY6N8LKOM2MTMx+bZZO6GZpMRe0hKAj75BFi8GBg82NGtKXo3bwLVqwN79wJLlgiz7jZsEIojQJzZZPfuAZUqCRdx3bix4OsnhLgmh84mcxeeNptMpVJhy5YtUKlUjm6K0ypMRomJwiU7hg4Ftm8XoXFOgJWPblZd3p6hnBxx26PrEXKWf+foPcZG+VhGGbGJmY9VxVDp0qXx8OFDq1dapUoV3L59u8CNKgqeNptMq9Xi7Nmz0DrLMQUnVJiMOA747jugc2egZ0/AHXcrVj55iyHdAGqxD5PpJpQ4SzFE7zE2yscyyohNzHysGjP09OlT7Nixw+preD169IimBhKPI5UCv/wCtG0LvPEGcOwYEBLi6FYVjcePhe+lSuUOoBa7Z8jWYujFC8DHB/jtN+Es4oQQomP1tcni4uLEbAchbsHHB9i6VZhp1rEjcPSocKJGd3f3LuDlJRRDRTWA2tZ/Dh89Er4vXUrFECHEkFWHybRarc1f1atXF7vtxAZSqRRRUVGQSqWOborTsldGAQHC1e0zM4HYWOD5czs10MFY+dy9K8ym47jcw2RF1TNk7ekMdBNQxDqsRu8xNsrHMsqITcx8PHYAtaeRyWSIjo6GTGZ1Z6DHsWdG1asLA6kvXnSfkzKy8vn3X2FmFyD0DKnV4p940dYj8WIXQ/QeY6N8LKOM2MTMh4ohD6FUKrFy5UooxT524cLsnVHjxsDatcIYleHDnWegb0Gx8vn3X6FnCBB6hoDcw1JisfUwmdgXfKX3GBvlYxllxCZmPlQMeQie53H9+nV4+GmlmMTIKCZGOPfQokXAl1/abbUOwcrn+nUgOFj4uaiKofw9Q7//LvTEmaMrnsSaqEPvMTbKxzLKiE3MfDy2Ly45ORnJyck0642IbsAA4aKun30m9J6421yErCxhzFDt2sLvfn7C96Iuhtq2Fb6b+5zUFUGeeskUQoh5Htsz5GnnGSKONWkSMGiQ8LV7t6NbY19XrwrfdcWQsx4mo1O3EELMKVDPkFarxbVr1/DgwQOjkx+1atXKLg0j9iWTyRAbG0sD8xjEzIjjgAULhEtIvPUWcPAgEB5u96cRlbl8UlOF77VqCd91xVB6uu5x4rTH1tlkYhdD9B5jo3wso4zYxMzH5jUeP34c7733Hm7fvm103I7jODrs5KSkUikaNWrk6GY4NbEzksmA1auB1q2FC7weO5Y7zsYVmMvnyhXhXEqlSgm/6w6T6U5aL5eL0x5bP2rELoboPcZG+VhGGbGJmY/Nh8k+/PBDNG7cGBcvXsTjx4/x5MkT/ddj3WloidNRKpWYP38+zVJgKIqMfH2FKfc+PsLgald6y5jLJzU1t1cIMO4ZEmuMTkEPk4nVHnqPsVE+llFGbGLmY3PP0NWrV7Fu3TrUqFHD7o0h4uF5Hunp6TRLgaGoMipbVjgpY7NmQJcuwJ49QLFioj6lXZjL58oVoEGD3N+9vITeIF0xJFZncUF7hsR6eek9xkb5WEYZsYmZj809Q02bNsW1a9fs3hBCPEnNmsC2bcCZM0CfPuIVDGLjeaFnSDd4WsfX13mKoXPngJQU182YECI+m3uGRowYgY8++gj3799H/fr1Ic83IKBB3n8RCSFmvfoq8L//AW++CYwZA3zzjetN+75/XzjTdN7DZIBQDN25I/xcmCKEdSjM2sNkuoHqf/1V8HYQQtybzcXQW2+9BQAYMGCAfhnHceB5ngZQOzG5XI7evXsbFa8klyMy6tIFSE4Ghg4FqlQBxo4tsqe2mal8rlwRvufvGdINogaE3iOeL1ihl/fjJP86nG02Gb3H2CgfyygjNjHzsbkYunnzpt0bQcQnkUhonJcFjsroww+Bf/4Bxo8HatQAunUr8iZYxVQ+qanCNb/yX5e5RAnD3zWagk2xt6YYsnVdYvW+0XuMjfKxjDJiEzMfm8cMVa1alfnlKpKTkxEaGoomTZo4uilFIicnB0lJScgR+1LiLsyRGU2bJpx/qHdv4OzZIn96q5jK58oVoFo1YdB0XmXLGv5e0A7jvI/L37Nja0/PvHnC9xcvCtYWS+g9xkb5WEYZsYmZT4HOQH39+nWMGDEC7dq1Q7t27TBy5Ehcv37d3m0TlSeegZqma1rmqIwkEmDFCiA0FIiNFU7O6IwsTavXKYpiyNZ16s78nZVVsLZYg95jbJSPZZQRm1j52FwM7dq1C6Ghofjjjz/QoEEDNGjQACdOnEDdunWxZ88eMdpIiEfw8QG2bBEO43TpAjx/7ugWWWZqJhngnMWQ7vAYDWskhORn81H8xMREjBkzBjNmzDBa/vHHH+P111+3W+MI8TQVKgBbtwItWgB9+wJr1gi9Rs5IpQJu3DBdDAUFCd99fYWeGGc4TKbLUa0uWFsIIe7L5o/Zy5cvY+DAgUbLBwwYgEuXLtmlUcT+5HI5hg4dSrMUGJwlo7AwYNUqYMMGYOJEhzbFQP58btwQihVTh8lefVX4LpUK3z2hZ8hZ9h9nRflYRhmxiZmPzcVQYGAgzp07Z7T83LlzKJu/b5w4DY7j4O/vD87VTmRThJwpo65dgZkzgS+/FMYSOYP8+ZibVg8IZ6SeMkXYBqDoiyGOA2bPNlz2yivC90qVCtYWS5xp/3FGlI9llBGbmPnYXAwNHjwYH3zwAb766iscOnQIhw4dwowZMzBkyBAMHjzY7g0k9qFUKjFjxgwanMfgbBl99BEwcCAweDBw6JCjW2OcT2oqULw4ULGi8X0lEmDy5NzCQ8zDZOY+F6dNM/y9e3fhe926BWuLJc62/zgbyscyyohNzHxsHjM0ceJE+Pn5Yfbs2ZgwYQIAoGLFipgyZQpGjhxp9wYS4qk4Dpg/Xzgc9eabwIkTQEiIo1uV68oV4RAZ6580Rx4myz82SPd4e598UakEWrYEkpPpv3lCXJXNPUMcx2HMmDH4999/kZGRgYyMDPz7778YNWoUde0RYmcKBbBuHVC6NNC5M/D0qaNblMvcTLK8HFkM5b+Wo+53exdDd+8Cf/wBzJwpte+KCSFFplDzVPz8/OCX97z7hBC7K11auKhrWppwYsbsbEe3SGDuHEN5FbYYUqlyfzZ3mMzcBazN3V/sy3IQQlyPVYfJGjVqhH379qFUqVIIDw9n9gCdOXPGbo0j9qNQKJCYmAiFQuHopjgtZ86oVi1g0yagUyegTRth+n1Rz1fIm09GhlCcFaZnKDtb+GJtB6sY0q3TXHHz4gWQ9+pBYhdDUqnEafcfZ+DM7y9nQRmxiZmPVcVQ165d4fX/59vv2rUrHQ5zQTzPIyMjAwEBAfT6meHsGbVqBRw8KBREzZsDO3cK1zIrKnnzuXRJyEc3Q8scVjEUFQWcPm2+ZwewrhjSaMyvI+8108Q6TJZ3/c68/zias7+/nAFlxCZmPlYdJps8eTJ8fHwAAFOmTMHkyZPNfhHnpFKpsGDBAqjy/nUhBlwho0aNgGPHhCKjWTPgwIGie+68+Zw/L7QhNJT9GFYxdPq0Nc+Z+zPrsBeroDJ1fzFotVqn338cyRXeX45GGbGJmY/NY4aqV6+OR48eGS1/+vQpque/dDUhxO6qVQOOHhXO5dOuHTBnjnXFgD2dPw/UqQN4e7PvpyuGCnrWZ2t7hqwZk0Rjhggh5thcDN26dQsaE588OTk5+Pfff+3SqKLgaVetJ+6lTBlg1y4gIUE4H9G774p7AdL8zp8HGja0fD/Z/x+IF2MAdd4xQ9YUOFQMEULMsfo8Q1u2bNH/vGvXLvj7++t/12g02LdvH6pVq2bf1okoPj4e8fHxyMzMNNgWd0aD8ixzpYxkMuEMz5GRQP/+wiUwNm4EatYU7zkVCgW0WuDPP4VzH1lS2Nlkec+tZu4wmUZjXYGj6z0T80KtrrT/OALlYxllxCZWPlYXQ926dQMgnGcoLi7O4Da5XI7g4GDMzn/+e+I0vLy89CfJJKa5akY9eghnVX7zTaBxY+Dnn4Wr3tubLp9r14RZYNb0DIk5tT5vz5AzHCaTSKQuuf8UFVd9fxUlyohNzHysPkym1Wqh1WpRpUoVPHjwQP+7VqtFTk4OUlNT0blzZ1EaSQpPq9Xi2rVr0NIxArNcOaM6dYQT/7VtK1zX7LPP7N8DosvnzBkhH3sVQ/aYTeYch8l4l91/ioIrv7+KCmXEJmY+No8ZunnzJgICAuzeECIulUqFVatW0SwFBlfPqEQJYP16YMYMICkJeOMNwMRchwLT5XPokBbVqgHlyll+jDXFEGtwtbWzyawp/MSaWq+b4avVal16/xGbq7+/igJlxCZmPjYXQyNHjsS3335rtPz777/H6NGj7dEmQkgBcRzw8cfC4OpTp4TDZmfP2vc5UlIkiI627r5iFkPO0jNU1DP5CCH2Z3MxtH79erz22mtGy5s3b45169bZpVGEkMJp1w44cwYICBBO0Givt+bz58Vw4YIErVtbd39riiHWP3muNGaIEOK6bC6GHj16ZHL2VYkSJfDw4UO7NIrYH8dxCAwMpLOaMrhbRlWqAIcOCQOre/YEvv++cOvjOA5PnjQAALv2DBW0GLJ1NllBiqFVq4RzOlkjJ4dDmTJl3Wb/sTd3e3+JgTJiEzMfm4uhGjVqYOfOnUbLd+zYQSdddGIKhQLDhg2jaZsM7piRtzewcqVwPqIRI4AJEwp+WEehUMDLqyNCQoCgIOse40w9QwUZM9SnD2CiI9ykLVsk2LVrqFvtP/bkju8ve6OM2MTMx+ZiKCEhAePHj8fkyZORkpKClJQUTJo0CYmJiRgzZozdG0jsQ6PR4MyZMyZPmEkE7pqRRALMmiWcqXrGDKBfP3YBYo5arcHWrS8RFWV9NeEJY4by/pO6bZuwH0VGCqc4ILnc9f1lT5QRm5j52FwMDRgwALNnz8YPP/yA1q1bo3Xr1li5ciUWLFiAwYMH272BxD7UajW2bt0KdUGvi+AB3D2jMWOAX38Vvt54A8jMtO3xf/yhwe3b3njzTevzMVcM5e2dKuxhMlbPkCTPJ9z06abXUxDPnwOffiq0L39Pm1qtxsmTwLBhhX8ed+Lu7y97oIzYxMzH5mIIAIYOHYp///0XaWlpyMzMxI0bN9C3b197t40QYmfvvAPs3g2cPAm0aAHYcgWdX36RwNf3GVq3tv44m7li6MWL3J8Le5gsf89Q3uJE9/x55b0vxwnjqaZNM98GU+bPB778Eti+3bbHWbJggWFPEyGkaBSoGFKr1di7dy82bNgA/v8/ee7du4esorw4EiGkQKKjgSNHhJ6hpk2Bc+csP0alAlavlqJBgwv6641Zw1wxlPejgvVPHutyHObGDOUthiQmPuHyr2ftWmDiRNvGUume7+5d+xYvy5bZb12EEOvZXAzdvn0b9evXR9euXREfH4/09HQAwFdffYWxY8favYHEPjiOQ0hICM1SYPCkjEJDgePHgQoVgJYtARNzIgwsWQI8fMihc+dHNuVjTTHE6hl6/jz3Z2tnk1nqGXr5EujVC7h3z/T6rKGLYPhwU7e5//5TEJ70/iooyohNzHxsLoZGjRqFxo0b48mTJyhWrJh++Ztvvol9+/bZtXHEfhQKBfr06UOzFBg8LaPy5YGUFKB1a6BzZ6HgMeX+feCTT4BBg4AJE2JtysdcMZSdnftz3t6f/F68AORy4eeC9AyZKoZOnwbWrAG+/tpweUGKIVM8Zf+xlae9vwqCMmITMx+bi6FDhw7hs88+M2pMcHAw7t69a7eGEftSq9U4cOAADcxj8MSMihcXrnT/4YfABx8IRU/+ouCjj4SCZNo02/OxR8+Qr6/wc0HGDJk6TKYrZPJvhr1mmXnS/mMLT3x/2YoyYhMzH5uLIa1Wa3Ja27///gs/Pz+7NIrYn0ajQUpKCk3ZZPDUjKRS4LvvhOn3SUlAhw5Cj9G9e8DAgcAvvwi9KCVL2p5PYYqhb78FLl4UCjbAuFjRfR7a2jNkruixV8+Qp+0/1vLU95ctKCM2MfOxuRhq37495s2bp/+d4zhkZWVh8uTJ6NSpkz3bRggpIhwn9ABt3SocFouOFs5gvXmzUCjFxRVsvbqeGVYxZO4w2ahRwIkT5nuGdEWUrWOGzA2UtqUYYg22rlKl4F34uiKLrndGSNGyuRiaPXs2jhw5gtDQULx8+RLvvfee/hDZV199JUYbme7cuYPo6GiEhoaiQYMGWLt2bZG3gRB30bkz8OefwpTxmTOBa9eEQcKFGa8olRoXQ48e5f6sK2qePxem/QOGh7As9QxpNIbrf++93J9Zs8nyFxysAmTbNmDAAOvu++ABDX4lxNXYMElWULlyZZw/fx6rV6/G+fPnkZWVhYEDB6J3794GA6qLikwmw7x58xAWFob79+8jIiICnTp1QnHdJygBAEgkEoSHh0Ni6q8DAUAZ6XAc0KmT8JVXQfMxVQzlvYyhrmdoyhThcNy1a0DZsrm3m+sZMneYbMOGvG02bo/uvrYUQ7Gxwnfd1PdFi8zfV8eaM41wnHCOo08/NW6Lu00ooveXZZQRm5j52FwMAUIB0rt3b/Tu3dve7bFZhQoVUKFCBQBA+fLlERAQgMePH1MxlI9cLkeXLl0c3QynRhmxFTQfcz1DZcsCDx7k9gzdvCl8P3RIOEO2jrmeobyHycyNpzR1mMzccAPWYTKOMyyWbtzI/Zl1AdxffwXefdf87YBw8sb8xZA7oveXZZQRm5j5WF1eXblyBX/88YfBsn379qF169aIjIzEl19+WaAGHDx4ELGxsahYsSI4jsOmTZuM7pOcnIzg4GB4e3ujadOmRu3QOX36NDQaDYKsvYqkB1GpVNiyZQtUBbkolYegjNgKmo+5Yuj//4fR9wzpCoz//jM8Q7WtPUP5nzs/3ePy9wRlZwvFiymsXqPZs83fZuajyiPR+8syyohNzHysLoY+/vhjbNu2Tf/7zZs3ERsrnHOkWbNmSEpKMhhYba3s7Gw0bNgQycnJJm9fvXo1EhISMHnyZJw5cwYNGzZEhw4d8ODBA4P7PX78GH379sXixYttboMn0Gq1OHv2LLT2vkqlG6GM2Aqaj7nDZLpiSPe59v/nb8X9+8KJEXUCA3XPb7iOvGOGCtIzlL/AqVRJGG9065bZTdHLexjPntx5ADW9vyyjjNjEzMfqw2SnTp3C+PHj9b+vWrUKtWrVwq5duwAADRo0wHfffYfRo0fb1ICYmBjExMSYvX3OnDkYPHgw+vfvDwBYuHAhtm/fjmXLliExMREAkJOTg27duiExMRHNmzdnPl9OTg5ycnL0v2f+/9Uq8y6XSCSQy+VQqVQGoUulUshkMiiVSv1lSADhsKFUKjVaLpfLIZFIDJ5Pt5zjOCjzTaNRKBTged6o6vXy8oJWqzVYznEcFAoFNBqNwTkXdMvVarXB9EPdY/Ov25W3SazXSffdnbYp7/KCbpNuXUqlEl5eXlZvk1SqgEbDGWxTerocNWsCHCfB8+dq5ORo8OiRAgCH//7T4sWL3P/TfH3VAGRQq7UAJHnaIQcggVbL/38xZDzIRiLhjZbrYlKpNACMq6WsLCVycnRZehncpnvu99+XYfZsE5VWPhqNsG3mXifd+nXr1Wp126SFROJe+55unfmXu/I22fszIu9nkLtskz1fJ11bdY/N38bCsLoYevjwISpXrqz/ff/+/YjVjSoEEB0djY8++shuDQOEDT19+jQmTJigXyaRSNCuXTscO3YMAMDzPPr164c2bdrg/ffft7jOpKQkTJ061Wj5nDlz4O3tDQAIDw9Hly5dsGPHDpw9e1Z/n6ioKERHR2PNmjW4fv26fnlsbCwaNWqEpUuX6i9PAgC9e/dGjRo1MGfOHIMXbejQofD398eMGTMM2pCYmIiMjAwsWLBAv0yhUGDChAm4ceMGVq1apV8eGBiIYcOG4fz589i6dat+eUhICPr06YPDhw8jJSVFv7xBgwYAgD179uDPP/90i22y9+uk652cO3eu22yTGK/TTz/9hPj4eKu3SaNJhFrtZbBNV6/GIyjoBeTyIJw4cQb37u3G8+efAQCuX8/Gy5e55yy7dOk3AF3w339pACrot+nGjTgAwdBogJcv1QDkyO/2baNFemfPngfQyGj5okWLERCgm+422eC2pKQZ4Djg5s33ANQ0v/L/d/LkKcyYscvk66TRcAAmAQDeeOMEGjQ4hXv3egGohIcPH6J0affa9wYOHAgg9/3lDtsk1mfE3Llz3W6bAPu9ThcvXkRkZCRWrFgBe+F43roO2UqVKmHjxo2IjIyEVqtFqVKl8Msvv+CN/x/pePnyZbz66qvIyMgoeGM4Dhs3bkS3bt0ACBd/rVSpEo4ePYpmzZrp7zd+/HikpKTgxIkTOHz4MFq1aqX/Yw8AP//8M+rXr2/yOUz1DAUFBeHBgwcoUaIEAPesvLVaLU6cOIGmTZsajMR35W2y9+uUnZ2NY8eOoVmzZpDJZG6xTfZ8ndRqNY4dO4bmzZvDx8fH6m0KDlZg6FAOEybkblOlSgqMGaPFjBlSTJqkxttva1Ctmhdq1tSC4zgsWsShdWtg4UIVYmO1qFTJC2vXatGjR+42RUfLcfy4BHI5j/XrgS5dbJt+1bevBj/9ZNy78+efStSqJWTp7e1l9Jhx4zRYsUKKWbMs9wyNGKHG11+b7hmaM0eKTz7J/X/09de1ePoUOHlSgpwcLeRy99r3OI7DkSNHEBkZCVmeq/268jbZ+zPi5cuX+s8guVzuFttkz9dJ9xnUsmVLeHl54eHDhwgMDERGRob+73dBWd0zFB0djS+++ALz58/H2rVrodVqER0drb/90qVLCA4OLlRjCqJFixY2HT/08vKCl5eXVcvlcuP/NAHz1x4yt9zU85lbznGcyeUSicTkcqlUCqmJgREymczgAweAweuVn6tuE2C/16l48eJo166d0XJX3iZ7vk5eXl4G+Vi7TTKZME5Ht01aLfDkCRAYKIVcDvC8DFlZwv1DQyVISckdM/TGG3L4+OhbYtB23dtepeJgYt6FFUwXM3K5AmZiw08/SfHrr1JY2wkulcrg5WX4h1/nyRPD+3KcRD9mSCIRfna3fa9169Ym7+vK22RueUG2ydRnkKtvkz1fp/yfQfa8RpnVA6inT5+Ov//+G1WrVsXHH3+MmTNnGkxf//nnn9GmTRu7NQwAAgICIJVKkZaWZrA8LS0N5cuXL9S6k5OTERoaiiZNmhRqPa5CqVRi5cqVdj3G6m4oI7aC5pN/APXTp0IhU6YMoFAIs8kePxZuq1EDyMjIvZCrt3fuuYJMDaD29xd+1p3/xxbmZqBZ6isv6ESWBQuAjz82f3vecwu54wBqen9ZRhmxiZmP1cVQcHAwLl++jLNnz+L27dsYOnSowe1Tp07FZ599ZtfGKRQKREREYN++ffplWq0W+/btMzhsVhDx8fG4dOkSTp48WdhmugSe53H9+nVYeVTUI1FGbAXNJ38xpDvhYkCAUAypVIbFEM8LM8oAoFgx88WQSgUUpmfcXDFkz5MdrlmTe7btYcOEs3qzuPOuR+8vyygjNjHzsemkizKZDA0bNtT/fuTIETRu3BheXl4Gy22RlZWFa9eu6X+/efMmzp07h9KlS6NKlSpISEhAXFwcGjdujMjISMybNw/Z2dn62WWEEOeWvxjSFQdlygByudAzpFsWEiJ8v3tX+O7tDeiGNJjqGSpMMVSY2bnWFkz37gG1awOmxnnS3ztCnEeBzkCtExMTg3PnzqF69eoFXsepU6cMjiMnJCQAAOLi4rB8+XL06tUL6enpmDRpEu7fv4+wsDDs3LkT5cqVK0zTCSFFhFUM5e0Z8vcHdG/ru3eFQkkqze0Zyl88qNW55yAqiKI6lcujR8I136yhK7J+/RXo0CE3D0KIuApVDNmjqyo6OtrieoYPH47hw4cX+rnySk5ORnJyssGIdncmk8kQGxtrctAaEVBGbAXNx9xhMl3PUE6OUAyVLi18AUIxpLvUoanDZA8fAs+eAXnO9mGzgwcL/lh7HEpjfezFxQEtWgiXJnEX9P6yjDJiEzMfj70anKeNGZJKpWjUqJHJkf1EQBmxFTQfmczwDNGPHgF+fkKvkI+PcOmN/MXQvXvCITLAdDEUGCiMKzIz+QQAYGlya76T2BtQKtk9R0VxiOvpU/GfoyjR+8syyohNzHwKVQwtWrSIDle5CKVSifnz59MsBQbKiK2g+Xh55Y77AYRiKCBA+Ll4cWHm2KNHQiFUrJhwf0s9QzotW+auK7/CzLr18gIGDTJ/uz2KIXe7Kr0l9P6yjDJiEzOfQhVD7733HjQaDTZt2oTLly/bq01EBDzPIz09nWYpMFBGbAXNx9vb8Fpj6em5BYyvL5CVJfQMlSkjFAilSwOZmbk9Q7qiwVQx5OMD9Otn+nkL+8/jTz+Zv03sw2TuiN5fllFGbGLmY3Mx1LNnT3z//fcAgBcvXqBx48bo2bMnGjRogPXr19u9gYQQ11asmGExdP8+oDtNmK5nSHeYDMj9rusZ4jjhy1wxZK4HSFLIQQCsz9ukpMKt2xxP6y0ixFnY/HFx8OBBtGzZEgCwceNG8DyPp0+f4ttvv8W0adPs3kCxeNpJFwlxFG9vYVyQTlqaYTGUlZV7mAwQeoh0j9ORSGwvhlxt2AV1BhDiODYXQxkZGSj9/59aO3fuxFtvvQUfHx+88cYbuHr1qt0bKBZPG0Atl8vRu3dvs6c7J5SRJQXNJ/9hsvv3c6eM5+0Z0hVB+XuGAHYxZK45hS2GxCxOGjQAZs+2fL+kJOD8efHaUZTo/WUZZcQmZj42F0NBQUE4duwYsrOzsXPnTrRv3x4A8OTJE/1V34nzkUgkqFGjhsFFWokhyoitoPnkPUymO7u0rmfI11foFXr+3PgwWWF7hsQ8TFZYFy5Yd79PPgHCwsRrR1Gi95dllBGbmPnYvMbRo0ejd+/eqFy5MipWrKi/+OfBgwfNXimeOF5OTg6SkpKMrlBMclFGbAXNJ+9hssePhZMs5j1Mprv0YP5iyM8vdx32OkxGp29xHHp/WUYZsYmZj80fDcOGDUNkZCTu3LmD119/XV+hVa9e3aXGDHkimq5pGWXEVpB88h4m++cf4XtQkPA9z7We9YfJdIfQdBdhBYRiyNT5UXVnsTbF1D+PCoXhOY9MmTqVfbtYnj0zP4D6/HmggFc8cir0/rKMMmITK58C9TU1btwYb775Jnx9faHRaHDu3Dk0b94cr732mr3bJxoaQE1I0chbDN2+LXyvWlX4nrf3p1Il4XuVKsbrkMtNXy2+Zs3cYigszLDnx1TPkDW96//7n+X7iOHECcPf8xZGU6YUaVMI8TgFOkz2ww8/AAA0Gg2ioqLQqFEjBAUF4cCBA/Zun2g8bQA1IY6imzEGALduCcVR2bLC77rvAFChgvC9Rg3hu66nCDAshnRjeZYsEdalG0upUADffpv7GFPFUKNGhdoUu8jIMH9b3gIo75glmmlGiLhsLobWrVunv0L91q1bcfPmTfz9998YM2YMPv30U7s3kNiHXC7H0KFDaZYCA2XEVtB8SpbMLQBu3xZ6hXR/9PMWQ7rVhocDS5cCiYmGt+mKId3hMl0vkK5nSHdhVx1TvUCbN9vUdFGMGGH+tmPHcn++eDH3Z3c4/xC9vyyjjNjEzMfmYujhw4co//+jH3/77Te8/fbbqFWrFgYMGIAL1k6RIEWO4zj4+/uDc4dPVZFQRmwFzadkSeFyHC9fAjdv5h4iA4DatU09DzBwoOGYIYVCuF4YkFsM6Qof3Rigt982LIBM9QyVLGlT00Xx6JGjW+AY9P6yjDJiEzMfm4uhcuXK4dKlS9BoNNi5cydef/11AMDz58/p4nJOTKlUYsaMGTQ4j4EyYitoProC5PFj4M8/gXr1cm8rUQL46CPA0snr8/YM6YofXc/QkyfC91KlLPcMOQPWBWDdGb2/LKOM2MTMx+bZZP3790fPnj1RoUIFcByHdu3aAQBOnDiBV155xe4NJIS4tooVhe+XLgk9Q/nH7cyaZXkdrGIoO1v4XqaMYa+LO/1vRmOGCBGXzcXQlClTUK9ePdy5cwdvv/02vLy8AABSqRSJeQ/yO7nk5GQkJydDY2q+LiHEbnSzxLZuFb4XZBCzXG58mExXDA0dCjx9CrRvD6xZk/sYXTEUEAA8fGj7c4qFChtCnE+BTkHWo0cPo2VxcXGFbkxRio+PR3x8PDIzM+Gfd3ACIcSuAgOFQ1jffivMLKtVy/Z1KBTA3bvCz7qeIV2xU6JE7oVT8x4a0/2su5+z9BQV5DAZDSEhRFwFOqqekpKC2NhY1KhRAzVq1ECXLl1w6NAhe7eN2JFCoUBiYiIU5s5QRygjCwqaj0SS2xs0aFDBipLz54WZYPv3Gx8myyvvunU/6y7roeuRcXRhUZBiyB16k+j9ZRllxCZmPjYXQytXrkS7du3g4+ODkSNHYuTIkShWrBjatm2LX375xe4NJPbB8zwyMjLAu8OnqkgoI7bC5DNtGtCpE1DQs2/oDpFdvGh9MaTrGfL1Fb7rihBHX5Lj+XPHPr+j0PvLMsqITcx8bC6Gpk+fjpkzZ2L16tX6Ymj16tWYMWMGvvjiC7s3kNiHSqXCggULoDJ1Gl8CgDKypDD5vPoqsH27cMisMDjOeMxQXqaKIR8fw/s4uhhKTbX9MY7uzbIHen9ZRhmxiZmPzcXQjRs3EBsba7S8S5cuuHnzpl0aRQghpkgkxmOG8t+uY26skKPHDj1+bPtjdP8It26dOyCdEGI/NhdDQUFB2Ldvn9HyvXv3Ikh39UVCCBGBVGr7YbL8A6ld2YEDwL17jm4FIe7H5g7jjz76CCNHjtRfnBUAjhw5guXLl+Obb76xewOJ/dCgPMsoIzZH52PLYTLdzxwHLFwINGsmfvvE4g6HyQDH7z+ugDJiEysfji/ASKSNGzdi9uzZuHz5MgCgTp06GDduHLp27Wr3Bool73mGrly5goyMDJQoUcLRzSKEmKArBr7/Hhg+XPj51CkgIsLwfnv2COcbAoC4OGDFCqBFCyDvZFc/v9wLx7qKrl2BTZtyc+B54VQDz58DNWs6tGmEOIzu1Dj2+Ptt02EytVqNzz//HE2aNMHhw4fx6NEjPHr0CIcPH3apQgjwvKvWa7VaXLt2DVpPvRaAFSgjNmfIJycn92dLY4ZsPTzmaqcbq1y5YOdschRn2H+cHWXEJmY+NhVDMpkMM2fOhFp30J64DJVKhVWrVtEsBQbKiM2R+ezeLXx/+TJ3makix9xhsrx++gn4/yP8BkwtcxbucJiM3l+WUUZsYuZj8wDqtm3bIiUlxe4NIYQQc15/HQgKMjxHj6mhA6aKofwXbH3zTWDnTuPHOuuFXQHhsNjhw45uBSHuy+YB1DExMUhMTMSFCxcQERGB4sWLG9zepUsXuzWOEEJ0vLwML8RqqRjSFTemelVM9So5c+/LgwdAy5a5v5s4uwkhpBBsLoaGDRsGAJgzZ47RbRzH0YVPnRTHcQgMDATnzJ/4DkYZsTk6H29vwwuuyuXG9zF1niFTihUzXla9esHbJraMDMPft21zTDsKw9H7jyugjNjEzKdAs8nciT1HoxNCxNOkiXBpjQMHhN/T0oCyZQ3vc/IkEBkp/DxypHBx2LZtgb17jdeX9/N05UqgRg3hTNmuxrM/wYknc9hsMuK6NBoNzpw5Qz13DJQRm6Pz8fKy3DNkasyQNV57jYoKsTl6/3EFlBGbmPlYXQz9/vvvCA0NRWZmptFtGRkZqFu3Lg4ePGjXxhH7UavV2Lp1K80EZKCM2BydjzWHyWwphnJycs9TZOm+dAmMwnP0/uMKKCM2MfOxuhiaN28eBg8ebLIryt/fH0OGDMHcuXPt2jhCCNHx9hYGEuvkm7sBwPR5hszJOwBbKmX3DNEQDkLcm9XF0Pnz59GxY0ezt7dv3x6nT5+2S6OKQnJyMkJDQ9GkSRNHN4UQYgUvL0B3rrUlSyzPErPmMJlufZaKIUKIe7O6GEpLS4PcVL/0/5PJZEhPT7dLo4qCp52BmuM4hISE0CwFBsqIzdH5eHsL3/38gEGDTN/H1NR6Fl0xZOo6Z3nRLlF4jt5/XAFlxCZmPlYXQ5UqVcLFixfN3v7nn3+iQoUKdmkUsT+FQoE+ffrQRQAZKCM2R+ejK4bKlDF/H1M9Q6wen7w9Q6wxmfS3qfAcvf+4AsqITcx8rC6GOnXqhIkTJ+Jl3vPh/78XL15g8uTJ6Ny5s10bR+xHrVbjwIEDNDCPgTJic3Q+Xl7Cd1YxlLc3SNfbY20xREfMxeXo/ccVUEZsYuZjdTH02Wef4fHjx6hVqxZmzpyJzZs3Y/Pmzfjqq69Qu3ZtPH78GJ9++qndG0jsQ6PRICUlhaZsMlBGbI7OR9czVLmy+fvk7RnS/fPIuqajrlCSSnPXbwr1DBWeo/cfV0AZsYmZj9VnoC5XrhyOHj2KoUOHYsKECdCdq5HjOHTo0AHJyckoV66c3RtICCFAbs9QUJD5++QthnRDHFmfm3l7hlhocDUh7s2my3FUrVoVv/32G548eYJr166B53nUrFkTpUqVEqt9hBACIHcqvbXFkK5nyB7F0D//WG4fIcR12XxtMgAoVaoUTUl3MRKJBOHh4ZA486W5HYwyYnN0PnXqCN+bNjV/n7xN0/UMsQ6TWVsMkcJz9P7jCigjNjHzoWuT0bXJCHEJPA/8+SfQsKH5+zx8CAQGCj8vWwYMGAA0bixcs8yUkBDgxo3cw2CuODbIsz/BiSeja5MRm6lUKmzZsgUqlcrRTXFalBGbo/PhOHYhBNh+mCwnp/DtItZx9P7jCigjNjHzoWLIQ2i1Wpw9exZa1jEDD0cZsblCPnmLId2Aa1YxtG0b8Nln4raJCFxh/3E0yohNzHwKNGaIEEKcUd6hBNb0DIWFCV+EEM9GPUOEELdh62EyQggBqBjyGFKpFFFRUZDStBmzKCM2V8jH1GEy4hxcYf9xNMqITcx8PHY2WXJyMpKTk6HRaHDlyhWaTUaIG9Boci/Dcfgw0KIFEBoK/PWXdY+n2WSEuA6aTWYHnnbVeqVSiZUrV0KpVDq6KU6LMmJzhXxMjRlyxQLHHbnC/uNolBGbmPl4bDHkaXiex/Xr1+GhHYFWoYzYXCGfvIWP7jCZEzfXo7jC/uNolBGbmPlQMUQIcUv+/sJ3+iebEGIJFUOEELfk5yd8f/HCse0ghDg/KoY8hEwmQ2xsLGQyOrWUOZQRm6vlI5UCLVsC8+c7uiUEcL39xxEoIzYx8/HY2WQ6dG0yQtyLbtxQZmZu75Ctj3Ulnv0JTjwZzSYjNlMqlZg/fz7NUmCgjNhcLZ+iuPD3mDHiP4e7cLX9xxEoIzYx86FiyEPwPI/09HSapcBAGbG5Wj5FUQxVry7+c1iiVgPXrzu6FZa52v7jCJQRm5j5UDFECHFLRVEMOYOvvwbq1wdevnR0SwhxXR7ycUEI8TRFUQw5wz/wCxcKM+ZSUx3dEkJcFxVDHkIul6N3796Qy+WOborToozYXC0fT+kZ+ucf4fuFC45thyWutv84AmXEJmY+HvJxQSQSCWrUqAGJp/yFKADKiM3V8hGrmZ99lvuzM/QMNWoEBAUBFy8Kvy9bBvTr59AmmeRq+48jUEZsYuZDiXuInJwcJCUlIScnx9FNcVqUEZur5SPWNPkvvhBnvQX14YfCmCFdz9DChcCGDc5RqOXlavuPI1BGbGLmQ8WQB6HpmpZRRmyUjyFnKDjefVcohi5eBO7fB06eBJ49A548cXTLjNH+YxllxCZWPlQMEUKIC/P1BerVE8YO/e9/uctv3nRcmwhxNVQMEUKIjWrXBiZOdHQrctWrJ3yfM0doG0DFECG2oMtxeMjlOLRaLR4+fIiAgAAanGcGZcTmKvl8/z3wxx/ATz/Z/ljdOKMaNYBr10zfJ+8n5rx5jj8LNc8L5xjy9QU0GmDaNOCrr4Ribdw4x7YtL1fZfxyJMmLLnw9djiOfN998E6VKlUKPHj0c3RSnxXEc/P39wbnixZeKCGXE5ir5DB9esEIor4MHjZfNmQO8807h1isWb2+gZk3h586dgeBg4NYtR7bImKvsP45EGbGJmY9bFEOjRo3CT4X99HNzSqUSM2bMoMF5DJQRmyflExBgvGzMGODXXw2XOVO/eoMGQOXKwvdq1UwfJnv0CHj+vOjbBnjW/lNQlBGbmPm4RTEUHR0NP1svT00IIWa44hGKadOA9euFQ33miqHOnYHPPy/6thHi7Bz+lj948CBiY2NRsWJFcByHTZs2Gd0nOTkZwcHB8Pb2RtOmTfHHH38UfUMJIR7D2mLImXqGatYEIiOFn6tVEw6T5W9fairw779F3jRCnJ7Di6Hs7Gw0bNgQycnJJm9fvXo1EhISMHnyZJw5cwYNGzZEhw4d8ODBgyJuKSHEU7j6kI3gYGFQdVoacOUKsHcvkJ0tnHsoI8PRrSPE+TjVbDKO47Bx40Z069ZNv6xp06Zo0qQJvv/+ewDCaPKgoCCMGDECiYmJ+vsdOHAA33//PdatW8d8jpycHIOzV2ZmZiIoKAgPHjzQj0aXSCSQy+VQqVTQarX6+0qlUshkMiiVSuSNTSaTQSqVGi2Xy+WQSCRGZ8uUy+XgOM7ouKdCoQDP81CpVAbLvby8oNVqDZZzHAeFQgGNRgO1Wm20XK1WQ6PRGCzneV7/3R22yd6v08uXL6FUKqFQKMBxnFtskz1fJ57noVQq4eXlBS8vL7fYpvxtb9aMx/HjHF6+zIG3t5fB416+zH1e3TZ9/bUG48dL4UgvX+YYbdOFCxyaNFHg6FFg0iQe584Bv/+uQoMGCrRoocWhQ5Iif51kMpm+fXkHwHrq+8nUNqlUKv1nkEQicYttsufrpPsM8vHxgUwmw8OHDxEYGGiX2WSyQj1aZEqlEqdPn8aECRP0yyQSCdq1a4djx44VaJ1JSUmYOnWq0fI5c+bA29sbABAeHo4uXbpgx44dOHv2rP4+UVFRiI6Oxpo1a3D9+nX98tjYWDRq1AhLly5Fenq6fnnv3r1Ro0YNzJkzx2DHGjp0KPz9/TFjxgyDNiQmJiIjIwMLFizQL1MoFJgwYQJu3LiBVatW6ZcHBgZi2LBhOH/+PLZu3apfHhISgj59+uDw4cNISUnRLw8LC0OzZs1w7NgxnDt3zi22yd6v09y5c91um8R4nQICAhAfH+9W26R7nWbNOoeNG/dhxoxsAJMN1pd3/bptunz5bwB14Uhz5swx2qaXLxUAJuD334G9e4XCY8KE3QA64/btDAClivx1GjJkCNRqNX744QeD9nv6+4m2yfZt6ty5MyIiIrBixQrYi1P3DN27dw+VKlXC0aNH0axZM/39xo8fj5SUFJw4cQIA0K5dO5w/fx7Z2dkoXbo01q5da3D/vDy1Z0ilUmH27Nn46KOPDK7468rbZO/XKTMzE3PnzsWYMWPg5eXlFttkz9cpJycHc+fORUJCAvz8/Nxim/K3Pe82WdMzNHOmBh9/7Hw9QwBQsaICWi0HjYZHVhbQsiWPgweFkRHBwcCFC2rI5UX3Omm1WsycOVP//tLx1PeTqW3Kzs7WfwZ5e3u7xTbZ83XSfQaNGzcOPj4+ntMzZK29e/dafV9dF781y/MWDXkpFAqblpt6PnPLOY4zuVwikZhcLpVKIZUafxjLZDLIZMYvr1wuN7keV98mUwq6Tfn3BXfYJmuWW7tNuudyp23SMbdN5tYvkZi+76BBwNKlJm+yO1278m9TtWrA6dPAsGEcDh8GDh3KPTR16xZw7ZoMYWFF9zrp/uia+qz15PeTjlQqNfgM0rXB1bdJjNdJt05z21QQDh9AzRIQEACpVIq0tDSD5WlpaShfvnyh1p2cnIzQ0FA0adKkUOshhJD8lixxdAuEYggABg8Gmjc3nll28WLRt4kQZ+XUxZBCoUBERAT27dunX6bVarFv3z6zh8GsFR8fj0uXLuHkyZOFbabLsGcV7a4oIzbKx5DzDDIw1qYN0KULEBYGvPaa8e2OKIZo/7GMMmITKx+HjxnKysrCtf+/CFB4eDjmzJmD1q1bo3Tp0qhSpQpWr16NuLg4LFq0CJGRkZg3bx7WrFmDv//+G+XKlSv083vKtckIIbbJP73e1Cfl118D48cbL+f5opueb80n+M2bQPXqQJUqwtXtAaBTJ2D7dmG6/a1bQHi4qM0kxO7c6tpkp06dQnh4OML//52YkJCA8PBwTJo0CQDQq1cvzJo1C5MmTUJYWBjOnTuHnTt32qUQ8iRarRbXrl0zGJxGDFFGbJ6az7lzpq9VBjh3z1BewcHC1exbtsxddvEioNUCb70FREUB+cbR2p2n7j+2oIzYxMzH4cVQdHS0/vwBeb+WL1+uv8/w4cNx+/Zt5OTk4MSJE2jatGmhn9fTxgypVCqsWrXKaCYAyUUZsXlqPg0bGhYReblKMcRxQvGT59Rs+OcfYMQIYP9+4Nkz4PffxW2Dp+4/tqCM2MTMx+HFkKN44pghQojnkskAf3/hZ90RhSVLgM8+A0JCABNXQiLEY7jF1HpCCHEEV+kZ0tEVQ3XrAmvWAIGBgJeXcCX7X34BFixwzYvUElJYtNt7CI7jEBgYaHAafGKIMmKjfIy52tAOX1+galVgyhSgcmWhEAKAbt2A+/cBMa+BTfuPZZQRm5j5OHw2maPRbDJCiCm6z1vWJ+T06cJhJkAYW3T+fO5jnGk2mSUaDVC+vDAVf9Ei4ZAaIc7OrWaTOYqnDaDWaDQ4c+aMwSnQiSHKiI3yMZa3EOnXz8W6ifKQSoGPPgKWLQPq1we2bLH/IUDafyyjjNjEzMdjiyFPG0CtVquxdetWg+vEEEOUERvlYyxvweDq06ETE4EzZ4BKlYCuXYEePYRZZvZC+49llBGbmPl4bDFECCGFlbcY4jjXH3EQHg7s2QOsXy98f/VV4OpVR7eKEPFRMUQIIQUUHOzoFtgfxwHduwuDqdVqoEkTYOdOR7eKEHFRMeQhOI5DSEgIzVJgoIzYKB9j77+f+7NEYphLVpZwyMlVvfKKUBC1aAHExgJbtxZufbT/WEYZsYmZj8fOJktOTkZycjI0Gg2uXLlCs8kIIQYmTQLq1QN69mTf784d4OFD4PhxYNgwYZnuU7V6deG6YGIS+xNcpQLeeQfYtk0YWN2hg7jPR4i1aDaZHXjiAOoDBw7QwDwGyojN0/L5/HPLhRAABAUJY220WvecASSXA7/+CrRvL5yP6MCBgq3H0/afgqCM2MTMx2OLIU+j0WiQkpJCUzYZKCM2yoeN5117NhmLQgGsXQu89hrw9tvAvXu2r4P2H8soIzYx86FiiBBC7MDUZSzcaRCCt7fQQySXC2Ol6O81cSdUDBFCiB307i30DCkUblQB5RMYCKxaJVzpfsYMR7eGEPuhYshDSCQShIeHQ0JXYTSLMmKjfNh8fIRcdNf7cletWwuXIJk0CfjtN+sfR/uPZZQRm5j50Gwymk1GCLETjgNKlAAyMoTfq1UDbt0yvl/NmsD339tnZpYjPsHVauEs1b/9BowYIfQS+fgUfTuIZ6PZZHbgabPJVCoVtmzZApVK5eimOC3KiI3yYdPlkvdM1OYKFR8fYXaWq5LJhPMOzZsHLFkizKa7cIH9GNp/LKOM2MTMx2OLIU+j1Wpx9uxZl79+kpgoIzbKh42VS+nShr+7Q3+8RAKMGgWcPQsUKybMNNu1y/z9af+xjDJiEzMfKoYIIcSOTJ0c9/Hjom9HUXnlFeDQIaBlS+CNN4DkZPco9ohnoWKIEEJEUpiioHhx+7VDbH5+wObNwhm4hw8Heve27xXvCREbFUMeQiqVIioqClKp1NFNcVqUERvlw8bKxdfX8HdriqQaNSzfp1Mny/cpKjIZ8O23wrmItm4FGjcG/vwz93bafyyjjNjEzIeKIQ8hk8kQHR0NmUzm6KY4LcqIjfJh0+VizUUkrZkZ7KqHmt55Bzh9WhhH1LQpsHSpsC20/1hGGbGJmQ8VQx5CqVRi5cqVUCqVjm6K06KM2Cgfttxc7FPFuPKpZmrVAo4dA/r2BQYPFr4/fkz7jyX0HmMTMx8XfrsVTnJyMkJDQ9GkSRNHN6VI8DyP69evw0NPK2UVyoiN8mHT5VKrluWp9Tr16hkve/11YNMm687bY0UnlMMUKwYsWiScsXrjRqB5cxmOHcuk/YeB3mNsYubjscWQp51niBAivoEDl2LjRuNzoJgrWk6dArKyDJft3i2c0NAazlwM6bz3nrCdMhmwePFg/Pyzx/7ZIU6M9kpCCLGToKC7BucU0v0Dm79o0f3u5eVas8YKSph+r0L9+hcxeLAcffvmnqWbEGdAxZCHkMlkiI2NpYF5DJQRG+XDZu98zB0J+Oef3J9doWdIp0QJGZYu5bF8uRabNgENGggXfCW56D3GJmY+VAx5CKlUikaNGtGUTQbKiI3yYTOVj66gKVPG8L7mipgffsj92VwxVK5cIRrpQLp84uIkuHABqF4daNMGSEgAXrxwdOucA73H2MTMh4ohD6FUKjF//nyapcBAGbFRPmysfHTzNIKD2esYMMDy87hSb1BeefOpWhXYtw+YMweYP184J9GZM45uoePRe4xNzHyoGPIQPM8jPT2dZikwUEZslA8bKx/dIlumy1sTsysVRvnzkUiAMWOEcxJ5eQnnJJo2DVCrHdxQB6L3GJuY+VAxRAghItF9ZleqJHz38rL9sSyuVAyZU7cucPw48PHHwOTJwgVfz51zdKuIp6FiiBBCRJaUJFzR/fXXhd+nTnVse5yNQiH0Ch0+DGRnAxERQq8RXd+MFBUqhjyEXC5H7969IZfLHd0Up0UZsVE+bKby0fXueHsD7dvnDqSuXNn69T58KFz81JTIyAI21gGs2X+aNQPOnhWKx8WLhSn569a57qVJbEXvMTYx8+F4Dz04mZycjOTkZGg0Gly5cgUZGRkoUaKEo5tFCHEjFSsC//2X+8dcqRT+uL/3nuH9fvsNOH8emDAhd1lkJHDyJKBSAb//DnTokLsOhUL4WaNx7ct2sNy+DYwcCWzZAnTsCHz/PRAS4uhWEWeSmZkJf39/u/z9dtO3kWWedgbqnJwcJCUlIScnx9FNcVqUERvlw2ZNPgqFcSEECFefz1sIAYYnbMw7NijvKVZcqRCydf+pWhXYvFm4NMmlS8KlS6ZOde9DZ/QeYxMzHxd6K5HCoumallFGbJQPW/587NHvnr8Y4jigRo3Cr9cRCrL/dO0qFEMjRwLTpwtF0uefA0+eiNBAJ0DvMTax8qFiiBBCnJC5S3l4ouLFga++Am7cAPr0EcYUBQUJY6muXHF064g7oGKIEEKcEKsYmjkTqFOnaNvjDCpXBr79Frh5E/joI2DNGqB2beEw46ZNwvgqQgrCYwdQ69hzAJYz02q1ePjwIQICAiBxpYEGRYgyYqN82EzlU7WqcC2xgnzKRkQIZ2XmeWDv3txp+a76iS3G/vPyJfDLL8CCBcCpU0CFCkD//sDAgcLlPlwNvcfY8udDA6iJzTiOg7+/PzjqczeLMmKjfNhM5bNnj9CTUfh1C98TEwu/LkcRY//x9hYuYXLypFA4vvlm7qyz118Xeo5caSyyq7zHeF44L9SnnwKZmUX3vGLmQ8WQh1AqlZgxYwYNzmOgjNgoHzZT+dSqBYwYUbD15e0BatJEWNegQYVspAOJvf+EhwPJycKpDJYvFy7+2quXcGht7FjgwgXn71VzhfeYWi30vE2cKFxbrmZNYMkS4TQPYhMzHyqGCCHECeX9w12iBJCaSufZsYaPDxAXJ5zN+q+/gPffF4qjBg2E8UWJiUJPkrMXRo6ydy/w9dfA9evGt718Cbz9NvDTT8DKlcDVq8L5rz74AGjUCNi/H9BqgT//BJ4/L/q2FwYVQ4QQ4oTi4hzdAtcXGir0Xty9K5zYslUrYOlS4YSWVasCo0cDBw8WTa+GK0hOFg4vfvKJcPqGpk2Bb74RetsyM4WB6jt3Cud/6t1b6HX76SfgxAlhxl+bNkC5ckDDhkBAgHBahB9+ANLSHL1llsks34UQQkhRGz1a+CKF5+UFxMQIXwsXAocOARs2AGvXCn/sZTLhj3j58sIg7PLlDX+uUEH4465WC2OQcnIAPz+hoCpe3NFbZx///AOMGwd8+CEwaxawfbswOH3cOCAhAShbVujt2b0baNnS8LGRkcCRI8Dq1UKvW/v2Qu/Qli1Cr1G9esIZ1p0ZzSbzkNlkPM9DqVRCoVA4/eA8R6GM2CgfNsqHzRnz0WqBP/4Qrod2/77QA5L3+/37QgHEUqYMEBwMtGsHDBkCVKtW8PY4MqNevYResitXhEJP58kToXA8fBgYNQoIC7NtvenpwL//CmO6Cit/Pvb8+03FkIcUQzRl0zLKiI3yYaN82FwxH60WePxYKIoePhR6kLy8hK+MDOH6abdvA9euARs3CoeSYmKAoUOF71Kprc/nmIxSUoDoaGFslTMfnqWp9aTQVCoVFixYABWdlcwsyoiN8mGjfNhcMR+JRDg8Vq+eUCy0aCHM7GvQQDhU1KePML38xx+Be/eE8UhpaUBsrDDYPSkJePDA+uezJaMXL4Rel8LSaIQen8hIYbC5MxNzH/LYYig5ORmhoaFo0qSJo5tCCCHExfn4COc8OnVKOPTWpo1wDbXKlYVByVOmCDO1bL3QrFIpnBbgf/8TprO/+aZwmgVfX2Gc0+DBQs9VQS1bJozn+fZb17rwr7157KZ72lXrCSGEFI0mTYQi4+5dYTBysWLAd98JRVHJksLZxUeNEk4Kee+e8Bi1GkhN5XDpUh1MmyZFz57CbLjixYWeqHffFXqesrKEWV2LFgnr3rBBONdPUpIw9d1Wa9YAHTsKM8c8Gc0m8yAKhcLRTXB6lBEb5cNG+bB5Wj6lSwMjRwpfWq1wrqjDh4Wv7dtzz05esaIwJkmpVADoiTJleNSrJ/QujRghHKarW1dYX379+gFffAFMmgQsXixc0Pbtt627wK9GI0yLnzDBnlstLrH2IRpA7SEDqAkhhDiX//4TpqSfOSNM369bV/gqW9a6Yiav1FRhGvzWrcBrrwFz5wo9VCwXLgi9Tvv3C2OiXA0NoCY202q1uHbtGrRaraOb4rQoIzbKh43yYaN8jFWoAPToAXz5pdADFB2txbNn18DztmdUu7ZwXp89e4SZbpGRQN++wqE6c44dE2a8ucrQWTH3ISqGPIRKpcKqVatcaiZHUaOM2CgfNsqHjfKxzB4ZtWsnnDdp4ULhbNG1agFTp5q+PMbvvwuX0XCVE0eKuQ9RMUQIIYS4EZlMOAHk1avA8OFCz1OtWsL1xHSdKhqN0IvUoYNj2+osqBgihBBC3JC/vzCg+vJl4NVXhfMIvfqqMPX/zBnhhJJUDAmoGPIQHMchMDDQaU6D74woIzbKh43yYaN8LBMro+rVgXXrgAMHhCn8zZsD770njFlypSn1Yu5DNJuMZpMRQgjxEGo1MH068P33wiVEWrRwdIsKjmaTEZtpNBqcOXMGGo3G0U1xWpQRG+XDRvmwUT6WFUVGMhkwebJwmRBXK4TEzIeKIQ+hVquxdetWqC1dgtmDUUZslA8b5cNG+VhWlBm54tFKMfOhYogQQgghHo2KIUIIIYR4NCqGPATHcQgJCaGZHAyUERvlw0b5sFE+llFGbGLmQ7PJaDYZIYQQ4nJoNhmxmVqtxoEDB2jwIgNlxEb5sFE+bJSPZZQRm5j5UDHkITQaDVJSUmhaKwNlxEb5sFE+bJSPZZQRm5j5uEUxtG3bNtSuXRs1a9bE0qVLHd0cQgghhLgQmaMbUFhqtRoJCQnYv38//P39ERERgTfffBNlypRxdNMIIYQQ4gJcvmfojz/+QN26dVGpUiX4+voiJiYGu3fvdnSznI5EIkF4eDgkEpd/yUVDGbFRPmyUDxvlYxllxCZmPg5P/ODBg4iNjUXFihXBcRw2bdpkdJ/k5GQEBwfD29sbTZs2xR9//KG/7d69e6hUqZL+90qVKuHu3btF0XSXIpfL0aVLF8jlckc3xWlRRmyUDxvlw0b5WEYZsYmZj8OLoezsbDRs2BDJyckmb1+9ejUSEhIwefJknDlzBg0bNkSHDh3w4MGDIm6pa1OpVNiyZQtUKpWjm+K0KCM2yoeN8mGjfCyjjNjEzMfhY4ZiYmIQExNj9vY5c+Zg8ODB6N+/PwBg4cKF2L59O5YtW4bExERUrFjRoCfo7t27iIyMNLu+nJwc5OTk6H/PzMw0Wi6RSCCXy6FSqaDVavX3lUqlkMlkUCqVyHt6JplMBqlUarRcLpdDIpEYPJ9uOcdxUCqVBssVCgV4njd6ob28vKDVag2WcxwHhUIBjUZjMM1Qt1ytVhuMuFepVDh79izatGnjNttk79fpxYsXOHv2LKKjo6HVat1im+z5OuXk5ODs2bNo3bo15HK5W2xT/rYXZpt0+XTo0MFttgmw3+uk1WoN3l/usE32fp3yfgbxPO8W22TP10n3HmvXrh3kcrlRGwvD4cUQi1KpxOnTpzFhwgT9MolEgnbt2uHYsWMAgMjISFy8eBF3796Fv78/duzYgYkTJ5pdZ1JSEqZOnWq0fM6cOfD29gYAhIeHo0uXLtixYwfOnj2rv09UVBSio6OxZs0aXL9+Xb88NjYWjRo1wtKlS5Genq5f3rt3b9SoUQNz5swxeNGGDh0Kf39/zJgxw6ANiYmJyMjIwIIFC/TLFAoFJkyYgBs3bmDVqlX65YGBgRg2bBjOnz+PrVu36peHhISgT58+OHz4MFJSUvTLGzRoAADYs2cP/vzzT7fYJnu/Trreyblz57rNNonxOv3000+Ij493q22y1+uk407bZK/XaeDAgQBy31/usE1ivU5z5851u20C7Pc6Xbx4EZGRkVixYgXsxanOQM1xHDZu3Ihu3boByB0PdPToUTRr1kx/v/HjxyMlJQUnTpwAAGzZsgVjx46FVqvF+PHj8cEHH5h9jvw9QxkZGahSpQquX78OPz8/AO5ZeatUKnz33XcYMWKEwfFWV94me79OmZmZSE5ORnx8PLy8vNxim+zdM5ScnIzhw4fDz8/PLbYpf9sL2zOUnJyMhIQEcBznFtsE2LdnaN68efr3lztsk71fp+zsbP1nkLe3t1tsk717hpKTkzFq1Cj4+Pjg0aNHqF69Op4+fQp/f38UCu9EAPAbN27U/3737l0eAH/06FGD+40bN46PjIy0y3PeuXOHB0Bf9EVf9EVf9EVfLvh1586dQtcCTn2YLCAgAFKpFGlpaQbL09LSUL58ebs8R8WKFXHnzh34+fm59cXxMjMzERQUhDt37tA12MygjNgoHzbKh43ysYwyYsufD8/zePbsGSpWrFjodTt1MaRQKBAREYF9+/bpD51ptVrs27cPw4cPt8tzSCQSVK5c2S7rcgUlSpSgN5kFlBEb5cNG+bBRPpZRRmx58yn04bH/5/BiKCsrC9euXdP/fvPmTZw7dw6lS5dGlSpVkJCQgLi4ODRu3BiRkZGYN28esrOz9bPLCCGEEEIKw+HF0KlTp9C6dWv97wkJCQCAuLg4LF++HL169UJ6ejomTZqE+/fvIywsDDt37kS5cuUc1WRCCCGEuBGHF0O68ymwDB8+3G6HxTyVl5cXJk+ebDCLgxiijNgoHzbKh43ysYwyYhMzH6eaWk8IIYQQUtQcfjkOQgghhBBHomKIEEIIIR6NiiFCCCGEeDQqhgghhBDi0agYIoQQQohHo2KImPX8+XNUrVoVY8eOdXRTnMqdO3cQHR2N0NBQNGjQAGvXrnV0kxxu27ZtqF27NmrWrImlS5c6ujlOh/YZ69Bnjnk3b95E69atERoaivr16yM7O9vRTXIqc+fORd26dREaGoqRI0daPGVPfjS1npj16aef4tq1awgKCsKsWbMc3Ryn8d9//yEtLQ1hYWG4f/8+IiIicOXKFRQvXtzRTXMItVqN0NBQ7N+/H/7+/oiIiMDRo0dRpkwZRzfNadA+Yx36zDEvKioK06ZNQ8uWLfH48WOUKFECMpnDTxXoFNLT0/Hqq6/ir7/+glwuR6tWrTBr1iw0a9bM6nVQzxAx6erVq/j7778RExPj6KY4nQoVKiAsLAwAUL58eQQEBODx48eObZQD/fHHH6hbty4qVaoEX19fxMTEYPfu3Y5ullOhfcYy+swxT/dHvmXLlgCA0qVLUyGUj1qtxsuXL6FSqaBSqVC2bFmbHk/FkAs6ePAgYmNjUbFiRXAch02bNhndJzk5GcHBwfD29kbTpk3xxx9/2PQcY8eORVJSkp1aXLSKIh+d06dPQ6PRICgoqJCtdpzC5nXv3j1UqlRJ/3ulSpVw9+7domh6kbHnPuUO+0x+9sjHlT9zLClsPlevXoWvry9iY2PRqFEjfPnll0XYevEVNp/AwECMHTsWVapUQcWKFdGuXTuEhITY1AYqhlxQdnY2GjZsiOTkZJO3r169GgkJCZg8eTLOnDmDhg0bokOHDnjw4IH+PmFhYahXr57R171797B582bUqlULtWrVKqpNsiux89F5/Pgx+vbti8WLF4u+TWKyR17uzl4Zucs+k19h83H1zxxLCpuPWq3GoUOHMH/+fBw7dgx79uzBnj17inITRFXYfJ48eYJt27bh1q1buHv3Lo4ePYqDBw/a1gieuDQA/MaNGw2WRUZG8vHx8frfNRoNX7FiRT4pKcmqdSYmJvKVK1fmq1atypcpU4YvUaIEP3XqVHs2u8iIkQ/P8/zLly/5li1b8j/99JO9muoUCpLXkSNH+G7duulvHzVqFL9q1aoiaa8jFHSfctd9Jr+C5ONOnzmWFCSfo0eP8u3bt9ffPnPmTH7mzJlF0t6iVpB81qxZww8bNkx/+8yZM/mvvvrKpuelniE3o1Qqcfr0abRr106/TCKRoF27djh27JhV60hKSsKdO3dw69YtzJo1C4MHD8akSZPEanKRskc+PM+jX79+aNOmDd5//32xmuoUrMkrMjISFy9exN27d5GVlYUdO3agQ4cOjmpykbMmI0/aZ/KzJh93/syxxJp8mjRpggcPHuDJkyfQarU4ePAg6tSp46gmFylr8gkKCsLRo0fx8uVLaDQaHDhwALVr17bpeagYcjMPHz6ERqNBuXLlDJaXK1cO9+/fd1CrnIc98jly5AhWr16NTZs2ISwsDGFhYbhw4YIYzXU4a/KSyWSYPXs2WrdujbCwMHz00UceNZPMmow8aZ/Jjz6T2Kx9j3355Zdo1aoVGjRogJo1a6Jz586OaG6RsyafV199FZ06dUJ4eDgaNGiAkJAQdOnSxabnoeHohKlfv36OboLTadGiBbRaraOb4VS6dOli84ePJ6F9xnr0mWNaTEwMzbRjmD59OqZPn17gx1PPkJsJCAiAVCpFWlqawfK0tDSUL1/eQa1yHpSPbSgvyygjNsqHjfJhK6p8qBhyMwqFAhEREdi3b59+mVarxb59+2w6AZW7onxsQ3lZRhmxUT5slA9bUeVDh8lcUFZWFq5du6b//ebNmzh37hxKly6NKlWqICEhAXFxcWjcuDEiIyMxb948ZGdno3///g5sddGhfGxDeVlGGbFRPmyUD5tT5FPQ6W/Ecfbv388DMPqKi4vT3+e7777jq1SpwisUCj4yMpI/fvy44xpcxCgf21BellFGbJQPG+XD5gz50LXJCCGEEOLRaMwQIYQQQjwaFUOEEEII8WhUDBFCCCHEo1ExRAghhBCPRsUQIYQQQjwaFUOEEEII8WhUDBFCCCHEo1ExRAghhBCPRsUQIYQQQjwaFUOEOLHly5ejZMmSzPtMmTIFYWFhRdIe4n4OHDgAjuPAcRy6detm9/X369dPv/5NmzbZff2E2AMVQ4TYUb9+/ez6B6VXr164cuWK3dZnLWuKMN39OI5Dx44dDZY/ffoUHMfhwIEDdm1XcHAw5s2bZ9d12uLWrVv6P+z5v44fP+6wdtlDamoqli9fbtV9T58+zdzmtm3bonv37gCAb775Bv/995+9mkmIKOiq9YQ4sWLFiqFYsWKObgaTTCbD3r17sX//frRu3drRzYFGowHHcZBIxPtfb+/evahbt67BsjJlyoj2fDzPQ6PRQCYT7yO7bNmyVhXAABAREYGGDRti2bJlePXVVw1uu3XrFvbv34+tW7cCAPz9/eHv72/v5hJiV9QzRIiIoqOjMXLkSIwfPx6lS5dG+fLlMWXKFIP7PH36FEOGDEG5cuXg7e2NevXqYdu2bQBM99DMmDED5cqVg5+fHwYOHIiXL18aPe/SpUtRp04deHt745VXXsH8+fP1t+l6NzZs2IDWrVvDx8cHDRs2xLFjxwAIh0369++PjIwMfa9H/jbnVbx4cQwYMACJiYnMLO7cuYOePXuiZMmSKF26NLp27Ypbt24ZZDV69GiDx3Tr1g39+vXT33779m2MGTNG3668GW3ZsgWhoaHw8vLCP//8gydPnqBv374oVaoUfHx8EBMTg6tXr+rXrXvcrl27UKdOHfj6+qJjx45W9WKUKVMG5cuXN/iSy+UAcg9b/vzzzwgODoa/vz/eeecdPHv2TP94rVaLpKQkVKtWDcWKFUPDhg2xbt06/e26Q1c7duxAREQEvLy8cPjwYTx79gy9e/dG8eLFUaFCBcydO9cgt88//xz16tUzam9YWBgmTpxocbvystTGgQMHYvXq1Xj+/LnB45YvX44KFSoY9RYS4syoGCJEZCtWrEDx4sVx4sQJzJw5E59//jn27NkDQPiDExMTgyNHjmDlypW4dOkSZsyYAalUanJda9aswZQpU/Dll1/i1KlTqFChgkGhAwCrVq3CpEmTMH36dFy+fBlffvklJk6ciBUrVhjc79NPP8XYsWNx7tw51KpVC++++y7UajWaN2+OefPmoUSJEvjvv//w33//YezYscxtnDJlCi5cuGDwxzIvlUqFDh06wM/PD4cOHcKRI0f0xYdSqbQqxw0bNqBy5cr4/PPP9e3Sef78Ob766issXboUf/31F8qWLYt+/frh1KlT2LJlC44dOwae59GpUyeoVCqDx82aNQs///wzDh48iH/++cfitlrj+vXr2LRpE7Zt24Zt27YhJSUFM2bM0N+elJSEn376CQsXLsRff/2FMWPGoE+fPkhJSTFYT2JiImbMmIHLly+jQYMGSEhIwJEjR7Blyxbs2bMHhw4dwpkzZ/T3HzBgAC5fvoyTJ0/ql509exZ//vkn+vfvb9M2WGpj7969kZOTY/Ca8zyPFStWoF+/fmb3YUKcEk8IsZu4uDi+a9eu+t+joqL4Fi1aGNynSZMm/Mcff8zzPM/v2rWLl0gkfGpqqsn1/fjjj7y/v7/+92bNmvHDhg0zuE/Tpk35hg0b6n8PCQnhf/nlF4P7fPHFF3yzZs14nuf5mzdv8gD4pUuX6m//66+/eAD85cuXTT6vOXnvl5iYyNeqVYtXqVT8kydPeAD8/v37eZ7n+Z9//pmvXbs2r9Vq9Y/NycnhixUrxu/atYvneSGrUaNGGay/a9eufFxcnP73qlWr8nPnzjVqAwD+3Llz+mVXrlzhAfBHjhzRL3v48CFfrFgxfs2aNQaPu3btmv4+ycnJfLly5cxury67YsWK8cWLFzf40pk8eTLv4+PDZ2Zm6peNGzeOb9q0Kc/zPP/y5Uvex8eHP3r0qMG6Bw4cyL/77rs8z/P8/v37eQD8pk2b9LdnZmbycrmcX7t2rX7Z06dPeR8fH4PcYmJi+KFDh+p/HzFiBB8dHW12m3TP9eTJE/0ya9rI8zz/zjvv8FFRUfrf9+3bxwPgr169avQ8APiNGzeabQchjkQ9Q4SIrEGDBga/V6hQAQ8ePAAAnDt3DpUrV0atWrWsWtfly5fRtGlTg2XNmjXT/5ydnY3r169j4MCB8PX11X9NmzYN169fN9uuChUqAIC+XQXx8ccfIz09HcuWLTO67fz587h27Rr8/Pz0bSpdujRevnxp1K6CUCgUBttz+fJlyGQyg6zKlCmD2rVr4/Lly/plPj4+CAkJ0f+e97VhWb16Nc6dO2fwlVdwcDD8/PxMrvfatWt4/vw5Xn/9dYPX6KeffjLKonHjxvqfb9y4AZVKhcjISP0yf39/1K5d2+AxgwcPxq+//oqXL19CqVTil19+wYABAyxuU17WtnHAgAE4ePCgftmyZcsQFRWFGjVq2PR8hDgaDaAmRGS6sSQ6HMdBq9UCgN0HR2dlZQEAlixZYlQ05T9skbdduvE3unYVRMmSJTFhwgRMnToVnTt3NmpXREQEVq1aZfS4wMBAAIBEIgHP8wa35T2kxVKsWDH9NtjC1GuTvw2mBAUFMf/gs15z3Wu0fft2VKpUyeB+Xl5eBr8XL17cYlvyi42NhZeXFzZu3AiFQgGVSoUePXrYtA5r29i2bVtUqVIFy5cvx7hx47BhwwYsWrTI5jYT4mhUDBHiQA0aNMC///6LK1euWNU7VKdOHZw4cQJ9+/bVL8s7vblcuXKoWLEibty4gd69exe4XQqFAhqNxubHjRgxAt9++y2++eYbg+WNGjXC6tWrUbZsWZQoUcLkYwMDAw3GAWk0Gly8eNFghpq17apTpw7UajVOnDiB5s2bAwAePXqE1NRUhIaG2rxd9pR3kHdUVJTVj6tevTrkcjlOnjyJKlWqAAAyMjJw5coVtGrVSn8/mUyGuLg4/Pjjj1AoFHjnnXdsLrqtbaNEIkH//v3xww8/oFKlSlAoFDYXXoQ4AyqGCHGgqKgotGrVCm+99RbmzJmDGjVq4O+//zZ57h4AGDVqFPr164fGjRvjtddew6pVq/DXX3+hevXq+vtMnToVI0eOhL+/Pzp27IicnBycOnUKT548QUJCglXtCg4ORlZWFvbt24eGDRvCx8cHPj4+Fh/n7e2NqVOnIj4+3mB579698fXXX6Nr1674/PPPUblyZdy+fRsbNmzA+PHjUblyZbRp0wYJCQnYvn07QkJCMGfOHDx9+tSoXQcPHsQ777wDLy8vBAQEmGxHzZo10bVrVwwePBiLFi2Cn58fEhMTUalSJXTt2tWqDFgePXqE+/fvGywrWbIkvL29LT7Wz88PY8eOxZgxY6DVatGiRQtkZGTgyJEjKFGiBOLi4sw+Li4uDuPGjUPp0qVRtmxZTJ48GRKJxKhXbNCgQahTpw4A4MiRIzZvny1t7N+/Pz7//HN88sknePfdd53+VBCEmEJjhghxsPXr16NJkyZ49913ERoaivHjx5vt/ejVqxcmTpyI8ePHIyIiArdv38bQoUMN7jNo0CAsXboUP/74I+rXr4+oqCgsX74c1apVs7pNzZs3x4cffohevXohMDAQM2fOtPqxcXFxBsUZIIzNOXjwIKpUqYLu3bujTp06+tMC6HqKBgwYgLi4OPTt2xdRUVGoXr260XmLPv/8c9y6dQshISH6w2vm/Pjjj4iIiEDnzp3RrFkz8DyP3377zegQVkG0a9cOFSpUMPiy5ezKX3zxBSZOnIikpCTUqVMHHTt2xPbt2y2+RnPmzEGzZs3QuXNntGvXDq+99pr+FAp51axZE82bN8crr7xidLjU3m2sUqUK2rVrhydPntg8NokQZ8Hx1hwgJ4QQ4nSys7NRqVIlzJ49GwMHDtQv53keNWvWxLBhwyz2Bh44cACtW7fGkydPrD7pYkFwHIeNGzeKcskPQgqLeoYIIcRFnD17Fr/++iuuX7+OM2fO6MeF5T30l56eju+//x7379+36dxClStXxrvvvmv3Nn/44Yfw9fW1+3oJsSfqGSKEEBdx9uxZDBo0CKmpqVAoFIiIiMCcOXNQv359/X04jkNAQAC++eYbvPfeexbX+eLFC9y9excA4Ovri/Lly9u1zQ8ePEBmZiYA4RQDBZkhR4jYqBgihBBCiEejw2SEEEII8WhUDBFCCCHEo1ExRAghhBCPRsUQIYQQQjwaFUOEEEII8WhUDBFCCCHEo1ExRAghhBCPRsUQIYQQQjza/wHcFmr78BPvxwAAAABJRU5ErkJggg==",
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ]
          },
          "metadata": {},
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Preparing the canevas (figure)\n",
        "fig, ax = plt.subplots()\n",
        "Title_of_figure = 'Induced fission of U235'\n",
        "# Creating the plot\n",
        "# Tuning the canevas\n",
        "ax.set(xlabel='Incident Neutron Energy [eV]', ylabel='Cross-Section [barn]', title=f'Neutron Cross-Section:{Title_of_figure}')\n",
        "ax.grid(ls='--', c='grey')\n",
        "ax.loglog(En, Sigma, lw=1, c='b') #,ms=1, marker='o', markerfacecolor='r', markeredgecolor='r')\n",
        "\n",
        "# showing and saving the plot\n",
        "#fig.savefig(\"test.png\", dpi=300)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {
        "id": "QXXztyJYVY0S"
      },
      "outputs": [],
      "source": [
        "line = ax.lines[0]\n",
        "x = line.get_xdata()\n",
        "y = line.get_ydata()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "metadata": {},
      "outputs": [
        {
          "data": {
            "text/plain": [
              "matplotlib.lines.Line2D"
            ]
          },
          "execution_count": 17,
          "metadata": {},
          "output_type": "execute_result"
        }
      ],
      "source": [
        "type(line)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "T_HQSH1BV-Rr",
        "outputId": "f84c5422-f598-49ff-ac87-37a005c04d86"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "[1.00000e-05 1.31241e-05 1.70876e-05 ... 2.20000e+07 2.40000e+07\n",
            " 3.00000e+07]\n"
          ]
        }
      ],
      "source": [
        "print(x)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "[2.68886e+04 2.34711e+04 2.05696e+04 ... 2.24280e+00 2.27630e+00\n",
            " 2.20630e+00]\n"
          ]
        }
      ],
      "source": [
        "print(y)"
      ]
    }
  ],
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.10.11"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}