future_targets_for_LSST.ipynb

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    {
      "cell_type": "markdown",
      "metadata": {
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      "source": [
        "<a href=\"https://colab.research.google.com/github/marcelolucas11/SDSS-peak-double-target-analysis/blob/main/future_targets_for_LSST.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "NHlSSkxGfr3t"
      },
      "outputs": [],
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "from astropy.io import fits\n",
        "from astropy.cosmology import FlatLambdaCDM\n",
        "import astropy.units as u\n",
        "import pandas as pd\n",
        "import seaborn as sns\n",
        "import csv\n",
        "import astropy.constants as const\n"
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#@title Importa a Tabela\n",
        "from google.colab import files\n",
        "import io\n",
        "\n",
        "supersample=('lsst_thaisa_supersample.csv')\n",
        "alvos=('lsst_alvos_duplos_picos.csv')"
      ],
      "metadata": {
        "id": "dwr8c8lfiNkw",
        "cellView": "code"
      },
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "code",
      "source": [
        "\n",
        "Zall=np.loadtxt('lsst_thaisa_supersample.csv', usecols=7, dtype='float', unpack=True, delimiter=';' )\n",
        "\n",
        "MAG_apa_all=np.loadtxt('lsst_thaisa_supersample.csv', usecols=9, dtype='float', unpack=True, delimiter=';' )\n",
        "\n",
        "Zalvos=np.loadtxt('lsst_alvos_duplos_picos.csv', usecols=7, dtype='float', unpack=True, delimiter=';' )\n",
        "\n",
        "MAG_apa_alvos=np.loadtxt('lsst_alvos_duplos_picos.csv', usecols=9, dtype='float', unpack=True, delimiter=';' )\n",
        "\n",
        "SNR_alvos=np.loadtxt('lsst_alvos_duplos_picos.csv', usecols=8, dtype='float', unpack=True, delimiter=';' )\n",
        "\n",
        "SNR_all=np.loadtxt('lsst_thaisa_supersample.csv', usecols=8, dtype='float', unpack=True, delimiter=';' )\n",
        "\n",
        "\n",
        "#SNR.to_csv('SNR_alvos.csv', sep=';')     #baixa a lista de MAG Absoluta\n",
        "\n",
        "\n",
        "#print(SNR)\n",
        "#print(Zall, MAG_apa_all, Zalvos, MAG_apa_alvos)\n",
        "print(Zalvos)\n",
        "print(Zall)"
      ],
      "metadata": {
        "id": "ac-v9_dD4NUQ",
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          "base_uri": "https://localhost:8080/"
        },
        "outputId": "43c48c0b-535f-4415-9f3b-52febf1d1eac"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[8.50000000e-02 1.37728000e-01 2.39767000e-01 1.71875000e-01\n",
            " 1.72806000e-01 1.70873000e-01 2.39933000e-01 1.80027000e-01\n",
            " 1.21836000e-01 1.73906000e-01 3.01766000e-01 8.62720000e-02\n",
            " 1.17217000e-01 2.52438000e-01 1.29510000e-01 2.93000000e+02\n",
            " 2.78000000e-01 2.93000000e-01 1.66000000e-01 3.88000000e-01\n",
            " 1.65000000e-01 2.44000000e-01 3.60000000e-01 1.43000000e-01\n",
            " 5.48061311e-01 9.20000000e-02 1.44000000e-01 1.18000000e-01\n",
            " 1.74634352e-01 3.00468832e-01 3.87610227e-01 2.08000000e-01\n",
            " 2.46600000e-01 1.82019845e-01 1.55389518e-01 3.60195756e-01\n",
            " 2.55401075e-01 1.18000000e-01 4.28012937e-01 3.09000000e-01\n",
            " 2.61615068e-01 3.05373102e-01 3.81000000e-01 2.51966685e-01\n",
            " 1.08000000e-01 9.60000000e-02 1.58910304e-01 1.32000000e-01\n",
            " 2.01700523e-01 1.25905186e-01 3.58355224e-01 2.67000000e-01\n",
            " 1.37000000e-01 5.37075400e-01 3.39961320e-01 5.29840589e-01\n",
            " 1.94355935e-01 3.37499052e-01 2.45679513e-01 2.93198407e-01\n",
            " 2.75621444e-01 1.64242491e-01 1.17047988e-01 3.12443465e-01\n",
            " 3.03325713e-01 2.86860287e-01 3.15790415e-01 2.05194935e-01\n",
            " 4.00010347e-01 2.99345165e-01 4.28178191e-01 8.44000000e-02\n",
            " 2.99352705e-01 3.69133949e-01 2.37722427e-01 1.26997948e-01\n",
            " 3.39196354e-01 1.49246469e-01 1.23518571e-01 2.04804361e-01\n",
            " 3.36669356e-01 2.25125656e-01 2.68707275e-01 1.39749452e-01\n",
            " 3.50998253e-01 9.48432162e-02 1.63425192e-01 2.40949000e-01\n",
            " 1.49845000e-01 1.71831000e-01 2.60354000e-01 3.95549000e-01\n",
            " 3.27632000e-01 2.36216000e-01 1.32415000e-01 3.94200000e-01\n",
            " 3.74700000e-01 2.53686000e-01 2.07262000e-01 3.43018000e-01\n",
            " 2.95000000e-01 1.18000000e-01 3.50027000e-01 2.64800000e-01\n",
            " 2.22300000e-01 1.26500000e-01 3.08300000e-01 2.63400000e-01\n",
            " 3.79100000e-01 3.96900000e-01 1.36556000e-01 3.07200000e-01\n",
            " 3.20599000e-01 4.21800000e-01 2.36900000e-01 6.03200000e-01\n",
            " 3.56624000e-01 2.59600000e-01 2.70984411e-01 6.00000000e-02\n",
            " 1.58582000e-01 2.15000000e-01 3.89853090e-01 2.28271186e-01]\n",
            "[0.47955504 0.70238942 0.63932389 ... 0.58       0.48722401 0.829777  ]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "cosmo = FlatLambdaCDM(H0=70, Tcmb0=2.725, Om0=0.3)         #Simula um universo plano e usa as constantes de Hubble e Densidade de matéria\n",
        "cosmo.luminosity_distance(Zalvos)                               #dL Distância de Luminosidade\n",
        "\n",
        "dlalvos=cosmo.luminosity_distance(Zalvos)      #distância de lumionosidade alvos LSST\n",
        "\n",
        "\n",
        "#M = m(rMAG) - 5log(dL / 10 pc)\n",
        "\n",
        "MAG_abs_alvos= MAG_apa_alvos-5*np.log10((dlalvos/(10*u.pc)))                           #convertendo Magnitude Aparente em Magnitude Absoluta\n",
        "\n",
        "dlalvos=dlalvos.value\n",
        "\n",
        "\n",
        "print(MAG_abs_alvos)\n",
        "\n",
        "print(dlalvos)\n",
        "\n",
        "\n",
        "#magnitude.to_csv('abs_rMAG_all_population.csv', sep=';')     #baixa a lista de MAG Absoluta"
      ],
      "metadata": {
        "id": "kGtLkAv9iWj-",
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "outputId": "e784eebe-c0e6-4920-a028-8908f3d016c9"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[   -20.31296687    -21.62735044    -22.80840196    -23.91222799\n",
            "    -22.06718921    -22.89903375    -22.72708135    -22.9642562\n",
            "    -21.75787575    -22.05402313    -23.64861929    -21.45376169\n",
            "    -22.96915888    -21.83926769 -10037.91878708    -40.07721559\n",
            "    -22.06937491    -22.02163065    -22.02005708    -24.51577421\n",
            "    -22.68359242    -21.75029012    -22.95629033    -21.2260451\n",
            "    -24.0855132     -20.06132373    -21.56902829    -20.56028299\n",
            "    -20.94552105    -22.62645512    -23.7052374     -21.80858908\n",
            "    -22.51967587    -22.41030037    -21.12870793    -23.24640916\n",
            "    -21.85159531    -20.01107099    -25.09316713    -23.27799088\n",
            "    -22.61329717    -22.69781592    -23.39747089    -21.93499636\n",
            "    -20.92178843    -19.95632132    -21.40265061    -20.9206683\n",
            "    -22.35773358    -21.38202164    -23.60242249    -22.8651742\n",
            "    -21.54330324    -23.64088291    -23.49870578    -25.18980995\n",
            "    -21.59542239    -22.76446353    -23.02184904    -22.80191194\n",
            "    -23.14031801    -21.71367242    -20.40069442    -22.21558508\n",
            "    -22.9152357     -22.35797916    -24.03480623    -21.7585626\n",
            "    -25.29167494    -22.98042992    -23.52574363    -21.57952172\n",
            "    -22.32256299    -22.74540875    -23.85379862    -21.332239\n",
            "    -23.80290846    -21.73019031    -20.80945371    -22.52226154\n",
            "    -23.1938839     -22.24568025    -22.58132355    -20.63147738\n",
            "    -23.51672709    -20.16136133    -21.0140082     -22.77097628\n",
            "    -22.50416836    -22.43477206    -23.31580173    -25.11505657\n",
            "    -23.95722505    -23.73028783    -21.52405607    -22.70030444\n",
            "    -24.79566801    -22.49540553    -22.73348671    -25.25577925\n",
            "    -22.05288752    -22.01483499    -24.20685771    -23.63662599\n",
            "    -23.61767947    -21.91647987    -23.1820102     -23.03179931\n",
            "    -24.58420159    -24.04473214    -21.8771624     -24.24583294\n",
            "    -24.34012486    -25.14714884    -22.60929731    -25.09789497\n",
            "    -24.69612075    -22.81330245    -22.56127268    -19.11676697\n",
            "    -21.9283664     -22.27900938    -21.98034033    -23.05172536]\n",
            "[3.87294540e+02 6.49769151e+02 1.20178559e+03 8.28249530e+02\n",
            " 8.33206103e+02 8.22920250e+02 1.20272814e+03 8.71810389e+02\n",
            " 5.68950325e+02 8.39068516e+02 1.56322344e+03 3.93432596e+02\n",
            " 5.45733704e+02 1.27412823e+03 6.07795409e+02 3.88330693e+06\n",
            " 1.42247873e+03 1.51099953e+03 7.97080925e+02 2.09547190e+03\n",
            " 7.91794507e+02 1.22586381e+03 1.91907022e+03 6.76898608e+02\n",
            " 3.16360782e+03 4.21193971e+02 6.82062319e+02 5.49660589e+02\n",
            " 8.42953874e+02 1.55547281e+03 2.09299350e+03 1.02399872e+03\n",
            " 1.24069769e+03 8.82514143e+02 7.41271299e+02 1.92029182e+03\n",
            " 1.29116059e+03 5.49660589e+02 2.35322702e+03 1.60659043e+03\n",
            " 1.32702050e+03 1.58481723e+03 2.05105912e+03 1.27142302e+03\n",
            " 4.99778174e+02 4.40697172e+02 7.59720985e+02 6.20472388e+02\n",
            " 9.89364030e+02 5.89505861e+02 1.90881262e+03 1.35824914e+03\n",
            " 6.46035300e+02 3.08727688e+03 1.79490619e+03 3.03723775e+03\n",
            " 9.49247534e+02 1.77977174e+03 1.23544213e+03 1.51217756e+03\n",
            " 1.40854070e+03 7.87793666e+02 5.44886546e+02 1.62731870e+03\n",
            " 1.57255317e+03 1.47463736e+03 1.64751829e+03 1.00855067e+03\n",
            " 2.17215088e+03 1.54876521e+03 2.35430500e+03 3.84402625e+02\n",
            " 1.54881019e+03 1.97624666e+03 1.19018788e+03 5.95042244e+02\n",
            " 1.79020140e+03 7.09245946e+02 5.77438242e+02 1.00640297e+03\n",
            " 1.77467806e+03 1.11920090e+03 1.36817960e+03 6.60152811e+02\n",
            " 1.86307535e+03 4.35047088e+02 7.83480586e+02 1.20850000e+03\n",
            " 7.12356960e+02 8.28015395e+02 1.31972774e+03 2.14359786e+03\n",
            " 1.71939560e+03 1.18165628e+03 6.22588673e+02 2.13498038e+03\n",
            " 2.01126457e+03 1.28129670e+03 1.01993041e+03 1.81373172e+03\n",
            " 1.52288288e+03 5.49660589e+02 1.85705490e+03 1.34547366e+03\n",
            " 1.10338860e+03 5.92518582e+02 1.60238341e+03 1.33735610e+03\n",
            " 2.03903987e+03 2.15223568e+03 6.43759543e+02 1.59577695e+03\n",
            " 1.67662899e+03 2.31277811e+03 1.18552867e+03 3.55285919e+03\n",
            " 1.89802859e+03 1.31537108e+03 1.38144671e+03 2.68659866e+02\n",
            " 7.57997687e+02 1.06272837e+03 2.10726360e+03 1.13685132e+03]\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "cosmo = FlatLambdaCDM(H0=70, Tcmb0=2.725, Om0=0.3)         #Simula um universo plano e usa as constantes de Hubble e Densidade de matéria\n",
        "cosmo.luminosity_distance(Zall)                               #dL Distância de Luminosidade\n",
        "\n",
        "\n",
        "dlall=cosmo.luminosity_distance(Zall)          #distância de luminosidade amostra total\n",
        "#M = m(rMAG) - 5log(dL / 10 pc)\n",
        "\n",
        "MAG_abs_all= MAG_apa_all-5*np.log10((dlall/(10*u.pc)))                           #convertendo Magnitude Aparente em Magnitude Absoluta\n",
        "\n",
        "\n",
        "print(MAG_abs_all)\n",
        "print(dlall)\n",
        "\n",
        "#magnitude.to_csv('abs_rMAG_all_population.csv', sep=';')     #baixa a lista de MAG Absoluta\n",
        "\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "3eOwxTpW5lfC",
        "outputId": "13a9aec0-0c66-4cbe-8cc3-b311a0c8ac13"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "[-24.29457873 -25.25313613 -24.13781524 ... -23.82922425 -23.67729277\n",
            " -25.82370213]\n",
            "[2694.60769962 4277.21643298 3813.20406737 ... 3387.85216293 2746.26571322\n",
            " 5248.19092647] Mpc\n"
          ]
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Histograma de Magnitude Absoluta"
      ],
      "metadata": {
        "id": "sLkS3vJQjpzv"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "######################## Magnitude Absoluta alvos LSST\n",
        "#magnitude[magnitude==np.min(magnitude)]=np.nan\n",
        "MAG_abs_alvos[MAG_abs_alvos<=-40.]=np.nan            # A tabela está como rMAG, mas é Magnitude Absoluta\n",
        "\n",
        "#print(MAG_abs_alvos)   \n",
        "\n",
        "############################ Magnitude Aparente ALVOS LSST\n",
        "MAG_apa_alvos[MAG_apa_alvos<-2000.]=np.nan\n",
        "\n",
        "\n",
        "############################## Histogramas MAG alvos LSST\n",
        "\n",
        "\n",
        "f, (ax1,ax2)=plt.subplots(1,2,figsize=(25,10))\n",
        "\n",
        "sns.distplot(MAG_apa_alvos ,kde=False, hist= True, bins=20, ax=ax1);\n",
        "sns.distplot(MAG_abs_alvos ,kde=False, hist= True, bins=20, ax=ax2);        #kde (contorno e muda o y para densidade),                                                                    \n",
        "sns.despine(f)                                                                  ## rug (coloca os pontos de registro), hist (plota o histograma)\n",
        "\n",
        "plt.suptitle('Histogramas Magnitude Aparente e Absoluta Alvos LSST', size=15)\n",
        "ax1.set_title('MAG Aparente')\n",
        "ax1.set_xlabel('r [MAG]')\n",
        "ax1.set_ylabel('Frequência')\n",
        "\n",
        "ax2.set_title('MAG Absoluta')\n",
        "ax2.set_xlabel('r [MAG]')\n",
        "ax2.set_ylabel('Frequência')\n",
        "\n",
        "\n",
        "############################## Histogramas MAG Amostra Total\n",
        "\n",
        "f, (ax3,ax4)=plt.subplots(1,2,figsize=(25,10))\n",
        "\n",
        "######################## Magnitude Absoluta total\n",
        "#magnitude[magnitude==np.min(magnitude)]=np.nan\n",
        "MAG_abs_all[MAG_abs_all<-1000.]=np.nan\n",
        "\n",
        "#print(MAG_abs_all)                                                # A tabela está como rMAG, mas é Magnitude Absoluta\n",
        "\n",
        "\n",
        "############################ Magnitude Aparente total\n",
        "#fig, ax2=plt.subplots()\n",
        "MAG_apa_all[MAG_apa_all<-2000.]=np.nan\n",
        "\n",
        "\n",
        "############################## Histogramas MAG\n",
        "\n",
        "sns.distplot(MAG_apa_all ,kde=False, hist= True, bins=20, ax=ax3);\n",
        "sns.distplot(MAG_abs_all ,kde=False, hist= True, bins=20, ax=ax4);        #kde (contorno), rug=True (coloca os pontos de registro), hist (plota o histograma)\n",
        "sns.despine(f)\n",
        "\n",
        "plt.suptitle('Histogramas Magnitude Aparente e Absoluta Amostra Total', size=15)\n",
        "ax3.set_title('MAG Aparente Amostra Total')\n",
        "ax3.set_title('MAG Aparente')\n",
        "ax3.set_xlabel('r [MAG]')\n",
        "ax3.set_ylabel('Frequência')\n",
        "\n",
        "ax4.set_title('MAG Absoluta Amostra Total')\n",
        "ax4.set_title('MAG Absoluta')\n",
        "ax4.set_xlabel('r [MAG]')\n",
        "ax4.set_ylabel('Frequência')\n",
        "\n"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        },
        "id": "wsIwqIXmici2",
        "outputId": "59ed4e0c-f557-4ba7-c422-af1df1f5dc8d"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
            "  warnings.warn(msg, FutureWarning)\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0, 0.5, 'Frequência')"
            ]
          },
          "metadata": {},
          "execution_count": 6
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1800x720 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1800x720 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Histograma de Redshift"
      ],
      "metadata": {
        "id": "waTsxNb6k5xr"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "#print(Zalvos)            #Z é Redshift\n",
        "Zalvos[Zalvos>50.]=np.nan\n",
        "\n",
        "################################\n",
        "f, (ax5,ax6)=plt.subplots(1,2,figsize=(25,10))\n",
        "\n",
        "\n",
        "sns.distplot(Zalvos ,kde=False, rug= True, hist= True, bins=20, ax=ax5);\n",
        "ax5.set_title('Redshift Alvos LSST')\n",
        "ax5.set_xlabel('Redshift')\n",
        "ax5.set_ylabel('Frequência')\n",
        "\n",
        "##################################\n",
        "\n",
        "sns.distplot(Zall ,kde=False, rug= True, hist= True, bins=20, ax=ax6);\n",
        "ax6.set_title('Redshift Amostra Total')\n",
        "ax6.set_xlabel('Redshift')\n",
        "ax6.set_ylabel('Frequência')"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 770
        },
        "id": "soD-AZ5Aih8t",
        "outputId": "9b84e546-0ff6-4c91-c2de-c1ce6497668e"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/seaborn/distributions.py:2103: FutureWarning: The `axis` variable is no longer used and will be removed. Instead, assign variables directly to `x` or `y`.\n",
            "  warnings.warn(msg, FutureWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/seaborn/distributions.py:2619: FutureWarning: `distplot` is a deprecated function and will be removed in a future version. Please adapt your code to use either `displot` (a figure-level function with similar flexibility) or `histplot` (an axes-level function for histograms).\n",
            "  warnings.warn(msg, FutureWarning)\n",
            "/usr/local/lib/python3.7/dist-packages/seaborn/distributions.py:2103: FutureWarning: The `axis` variable is no longer used and will be removed. Instead, assign variables directly to `x` or `y`.\n",
            "  warnings.warn(msg, FutureWarning)\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0, 0.5, 'Frequência')"
            ]
          },
          "metadata": {},
          "execution_count": 7
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1800x720 with 2 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#dlall=dlall.value\n",
        "\n",
        "dlalvos[dlalvos>5000.]=np.nan\n",
        "\n",
        "\n",
        "plt.subplots(figsize=(25,10))\n",
        "\n",
        "\n",
        "sns.histplot(data=dlall,kde=False, bins=21, element=\"step\",color='palegreen',edgecolor='green' ,fill=True, stat=\"density\")                      #stat=\"density\"\n",
        "\n",
        "\n",
        "sns.histplot(data=dlalvos,kde=False, bins=21, element=\"step\",color='salmon',edgecolor='darkred',fill=True, stat=\"density\")\n",
        "\n",
        "\n",
        "plt.title('Distância de luminosidade alvos e população', fontsize=18)\n",
        "plt.xlabel('Mega parsec ', fontsize=16) #Mega Parsec\n",
        "plt.ylabel('Frequency', fontsize=16)\n",
        "\n",
        "plt.show()\n",
        "#pq não estamos vendo duplos picos mais longe"
      ],
      "metadata": {
        "id": "qjYyCSaJFIzc",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 520
        },
        "outputId": "07553d91-d06d-4966-e207-efbe1cbdee9a"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1800x720 with 1 Axes>"
            ],
            "image/png": 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OfmYCx5+aMVxVf5LkdlOWP1rHj5L8S5IDquqw8e19QD+X6yfUdKt0s2cXcvxvpluf+ZCquuvIGDvNMsbb0v1vzJdO2JaqWuwyJzPri/9UAFpVj09yh0WOub2dmW429TOr6mdnGvv3z0x3L53Zt40vPZEkl6ULlCfdb6Pek265jCePtT9vQt9p7tMz081GPryqbjnSd++Mzejv79N3JDmwqh49qch+vfi5zFbb7ZP88Tz7jtayKcm/JXlUunWid80NZ1t/NslXkjy1qn583lV18yTPSRdWv6dvu834kkd9oHxpujXQZ12TvbV2RZIzkjyqqu47vr1fZ32aNaWPGtv/kemWSzl9pPn0dN/B8b4PS3KvJOsnPBvgCf3nOtN35vt9fZL3jfS7OMndqmqvkb47Jzl8gfVfn+7a/vh69r/DXjCh7zv7f1/S1/NTRn73TTPmzHU6evR3Z3XPdnh4ko/39w8AMABmfAMAQ3Dvqnpi//5n0wVBj0hy53QPxZtr2Y2Zfb5eVevThd3fSjeL+BnpZlu/d6Tvp5M8uKqely44a621U9IFbd9PcnJVHd/v9xvplmj432zb/+56QbplG95YVQ/NTx7QeK9+3CfNse9pSZ5eVe9Kt+zDbZP8UX6ylvhCPDvJ2Uk+UVUnpJvZuy4Tzqm1dlpVvSXJEVV173Sh2beT7J3uIZn7ZRFrBrfWLqqqs/pzqXRrnv9yuhnMG5PcfNoxt7fW2uaqem6SE5KcU1Un9ZsOTXcdnj7ygMwX9J/t+9IFqpXuoYJ3S/ewxbm8PN09/s9V9Svp1ip+QLrrPT6zd8H3aWvtqqr6v0lemeSTVfW2dEHvn6ab2X+vsbGf3491alWdmu67cm267+HvJPlMf+4Ttda+W1UfTPLEqvpBkvP6fZ/eX5OFrr+edEH3w5O8Kt065qPBcFpr11fVEelm0p9XVSemW/P8cUnum+QlrbUv9t2fnORZVfXudPfaD9Mth3RQklNnHqw4h2ek+85+tL+G/5kupL1Luv+a5G35yfr3c/l2ugD9Dum+j/sn+bN06+mP7n9SkqckeV6/fNNH091vM33/esLYF6e7R1+f7jr8YZJfTfLi1tpXR/odn+67f1bfd6d0v3++n4U5LckfJPlQfy1unu539S3HO7bWzq2q49L9Aeez/e+wb6T73fzoJAem+100zZhn9vfmuiS37te6v1264H5rkj9f4HkAADcCgm8AYAge379+lG4W7WVJPpLkX1pr/76A/b+fbk3gB6WbUbxLkq8nWZ/kpa21r430/bN0Qebz0wXmSXJKa+1/+xmVL0kXLF2f5BPpArLj0z1cb1H6APLX+nEflS7s/W66h8+9dp7dn933fWy6kO2r6dZPPi9dEL6Q43+qqh6SbumXo9IFiacleV2S/57Q/4+q6sNJnpbk6HTh2DfSzbI9eiHHnMWT0p3vE/r3H0vywL6OfbZh3O2mtfZPVfX1dLOI/6Zv/nySR7bWxmfp3j7d53TbdDOtv5jkT5K8aZ5jXFVVv5luPfeZWd8fSXdt/mOs71T3aWvtVVV1dbr76KXp7p9XprsH3jzWd0tV/Ua69a9n7rfr0n0fP57kjXOdR++J6e6z308X3n4x3Xfth0nesoD9Z7wvP1mW442tta3jHVpr762qB6X7w9Jz0t2nFyb549ba6DU/O13I/3vpPqPr0wXxf5Xums2ptfbV/g8Sz0t3TZ6YLmT9aro/qp26wHP6Xro/gP1DumtU6daw/svRZVxaaz+sqoP683pcut8Zm9Mt1/SCsSB7xmvTzYx/ZpI7pfuj3pGttX8cO5dPVNWh6e6dVyS5PN33b0NuuBzODbTWTun/i4dnpbuPZv6weFQm/DGutXZUVX0+yRHp1rxPunXpz0gftk87ZrrfH59N90eYV6W7rh9J8n9bazf4fQYA3HjV7MvRAQAAsNKq6uwk+7TW9lnicR+Q5MNJntpaO2kpx15q/TI0FyY5rLX2kZWuBwDY8VnjGwAAgB1aa+2H6WZyP32lawEAbhwsdQIAAMAOq6qen2598oelW8MeAGBegm8AAAB2ZA9Pt876JUmOW+FaAIAbCWt8AwAAAAAwKGZ8j9lzzz3bPvvss9JlAAAAAAAwh8985jPfbq2tmbRN8D1mn332yYYNG1a6DAAAAAAA5lBVX55t282WsxAAAAAAANjeBN8AAAAAAAyK4BsAAAAAgEERfAMAAAAAMCiCbwAAAAAABkXwDQAAAADAoAi+AQAAAAAYlGUPvqvq4Kq6qKo2VtVRE7bvXFXv6refU1X7jGw7um+/qKoOmm/MqnpQVX22qj5XVR+vqv229/kBAAAAALCyljX4rqpVSU5I8rAkByR5fFUdMNbtsCRXtdb2S/IPSY7r9z0gybok90hycJJ/qqpV84z5uiRPaK39cpJ3JnnB9jw/AAAAAABW3nLP+D4wycbW2iWttWuTnJLkkLE+hyR5a//+tCQPqqrq209prV3TWrs0ycZ+vLnGbEl27d/vluRr2+m8AAAAAADYQaxe5uPtleSrIz9fluQ+s/VprV1XVVuS7NG3f3ps373697ON+cdJzqiqHyT5TpL7LsE5AAAAAACwAxv6wy2fleR3Wmt7J3lLkr+f1KmqnlZVG6pqw6ZNm5a1QAAAAAAAltZyB9+XJ7njyM97920T+1TV6nRLlFwxx74T26tqTZJ7ttbO6dvfleTXJxXVWjuxtba2tbZ2zZo1izkvAAAAAAB2EMsdfJ+XZP+q2reqdkr3sMr1Y33WJ3lK//7RST7UWmt9+7qq2rmq9k2yf5Jz5xjzqiS7VdVd+7EekuTC7XhuAAAAAADsAJZ1je9+ze4jknwgyaokb26tnV9VL0qyobW2PsmbkpxcVRuTXJkuyE7f79QkFyS5LsnhrbXrk2TSmH37nyT516r6Ubog/I+W8XQBAAAAAFgB1U2mZsbatWvbhg0bVroMAAAAAADmUFWfaa2tnbRt6A+3BAAAAADgJkbwDQAAAADAoAi+AQAAAAAYFME3AAAAAACDIvgGAAAAAGBQBN8AAAAAAAyK4BsAAAAAgEERfAMAAAAAMCirV7oAYPs5/ta7Z+vmLct+3FvsvluOuGrzsh8XAAAAABLBNwza1s1bcuRJJyz7cV996OHLfkwAAAAAmGGpEwAAAAAABkXwDQAAAADAoAi+AQAAAAAYFME3AAAAAACDIvgGAAAAAGBQBN8AAAAAAAyK4BsAAAAAgEERfAMAAAAAMCiCbwAAAAAABkXwDQAAAADAoAi+AQAAAAAYFME3AAAAAACDIvgGAAAAAGBQBN8AAAAAAAyK4BsAAAAAgEERfAMAAAAAMCiCbwAAAAAABkXwDQAAAADAoAi+AQAAAAAYFME3AAAAAACDIvgGAAAAAGBQBN8AAAAAAAyK4BsAAAAAgEERfAMAAAAAMCiCbwAAAAAABkXwDQAAAADAoAi+AQAAAAAYFME3AAAAAACDIvgGAAAAAGBQBN8AAAAAAAyK4BsAAAAAgEERfAMAAAAAMCiCbwAAAAAABmX1ShcAQ3f8rXfP1s1bVuTYO++yy4oc96ZqpT7rW+y+W464avOyHxcAAABgRyX4hu1s6+YtOfKkE1a6DJbBSn3Wrz708GU/JgAAAMCOzFInAAAAAAAMiuAbAAAAAIBBEXwDAAAAADAogm8AAAAAAAZF8A0AAAAAwKAIvgEAAAAAGBTBNwAAAAAAgyL4BgAAAABgUATfAAAAAAAMiuAbAAAAAIBBEXwDAAAAADAogm8AAAAAAAZF8A0AAAAAwKAse/BdVQdX1UVVtbGqjpqwfeeqele//Zyq2mdk29F9+0VVddB8Y1bVx6rqc/3ra1V1+vY+PwAAAAAAVtbq5TxYVa1KckKShyS5LMl5VbW+tXbBSLfDklzVWtuvqtYlOS7J46rqgCTrktwjyR2SnFVVd+33mThma+03R479r0nes51PEQAAAACAFbbcM74PTLKxtXZJa+3aJKckOWSszyFJ3tq/Py3Jg6qq+vZTWmvXtNYuTbKxH2/eMatq1yS/ncSMbwAAAACAgVvu4HuvJF8d+fmyvm1in9badUm2JNljjn0XMuYjkvxHa+07k4qqqqdV1Yaq2rBp06apTggAAAAAgB3LTeXhlo9P8i+zbWytndhaW9taW7tmzZplLAsAAAAAgKW23MH35UnuOPLz3n3bxD5VtTrJbkmumGPfOcesqj3TLYfy/iU5AwAAAAAAdmjLHXyfl2T/qtq3qnZK97DK9WN91id5Sv/+0Uk+1Fprffu6qtq5qvZNsn+Scxcw5qOTvK+1tnW7nRUAAAAAADuM1ct5sNbadVV1RJIPJFmV5M2ttfOr6kVJNrTW1id5U5KTq2pjkivTBdnp+52a5IIk1yU5vLV2fZJMGnPksOuSvGx5zhAAAAAAgJW2rMF3krTWzkhyxljbC0feb03ymFn2PTbJsQsZc2TbA7ahXAAAAAAAbmRuKg+3BAAAAADgJkLwDQAAAADAoAi+AQAAAAAYFME3AAAAAACDIvgGAAAAAGBQBN8AAAAAAAyK4BsAAAAAgEERfAMAAAAAMCiCbwAAAAAABkXwDQAAAADAoAi+AQAAAAAYFME3AAAAAACDIvgGAAAAAGBQBN8AAAAAAAyK4BsAAAAAgEERfAMAAAAAMCiCbwAAAAAABkXwDQAAAADAoAi+AQAAAAAYFME3AAAAAACDIvgGAAAAAGBQBN8AAAAAAAyK4BsAAAAAgEERfAMAAAAAMCiCbwAAAAAABkXwDQAAAADAoAi+AQAAAAAYFME3AAAAAACDIvgGAAAAAGBQBN8AAAAAAAyK4BsAAAAAgEERfAMAAAAAMCiCbwAAAAAABkXwDQAAAADAoAi+AQAAAAAYFME3AAAAAACDIvgGAAAAAGBQBN8AAAAAAAyK4BsAAAAAgEERfAMAAAAAMCiCbwAAAAAABkXwDQAAAADAoAi+AQAAAAAYFME3AAAAAACDIvgGAAAAAGBQVq90AQDceB1/692zdfOWFTn2LXbfLUdctXlFjg0AAADs2ATfACza1s1bcuRJJ6zIsV996OErclwAAABgx2epEwAAAAAABkXwDQAAAADAoAi+AQAAAAAYFME3AAAAAACDIvgGAAAAAGBQBN8AAAAAAAyK4BsAAAAAgEERfAMAAAAAMCiCbwAAAAAABkXwDQAAAADAoCx78F1VB1fVRVW1saqOmrB956p6V7/9nKraZ2Tb0X37RVV10HxjVufYqrq4qi6sqj/f3ucHAAAAAMDKWr2cB6uqVUlOSPKQJJclOa+q1rfWLhjpdliSq1pr+1XVuiTHJXlcVR2QZF2SeyS5Q5Kzququ/T6zjXlokjsmuVtr7UdV9XPb/ywBAAAAAFhJyz3j+8AkG1trl7TWrk1ySpJDxvockuSt/fvTkjyoqqpvP6W1dk1r7dIkG/vx5hrzGUle1Fr7UZK01r61Hc8NAAAAAIAdwHIH33sl+erIz5f1bRP7tNauS7IlyR5z7DvXmD+fbrb4hqr6t6raf1JRVfW0vs+GTZs2LerEAAAAAADYMQz94ZY7J9naWlub5J+TvHlSp9baia21ta21tWvWrFnWAgEAAAAAWFrLHXxfnm7N7Rl7920T+1TV6iS7Jblijn3nGvOyJP9f//7dSX5pm88AAAAAAIAd2nIH3+cl2b+q9q2qndI9rHL9WJ/1SZ7Sv390kg+11lrfvq6qdq6qfZPsn+TcecY8PckD+/e/leTi7XReAAAAAADsIFYv58Faa9dV1RFJPpBkVZI3t9bOr6oXJdnQWluf5E1JTq6qjUmuTBdkp+93apILklyX5PDW2vVJMmnM/pAvS/KOqnpWkquT/PFynSsAAAAAACtjWYPvJGmtnZHkjLG2F46835rkMbPse2ySYxcyZt++OcnvbmPJAAAAAADciAz94ZYAAAAAANzECL4BAAAAABgUwTcAAAAAAIMi+AYAAAAAYFAE3wAAAAAADIrgGwAAAACAQRF8AwAAAAAwKIJvAAAAAAAGRfANAAAAAMCgCL4BAAAAABgUwTcAAAAAAIMi+AYAAAAAYFAE3wAAAAAADIrgGwAAAACAQRF8AwAAAAAwKIJvAAAAAAAGRfANAAAAAJWqugkAACAASURBVMCgCL4BAAAAABgUwTcAAAAAAIMi+AYAAAAAYFAE3wAAAAAADIrgGwAAAACAQRF8AwAAAAAwKIJvAAAAAAAGRfANAAAAAMCgCL4BAAAAABgUwTcAAAAAAIMi+AYAAAAAYFAE3wAAAAAADIrgGwAAAACAQRF8AwAAAAAwKIJvAAAAAAAGRfANAAAAAMCgCL4BAAAAABgUwTcAAAAAAIMi+AYAAAAAYFAE3wAAAAAADIrgGwAAAACAQRF8AwAAAAAwKIJvAAAAAAAGRfANAAAAAMCgCL4BAAAAABgUwTcAAAAAAIMi+AYAAAAAYFAE3wAAAAAADIrgGwAAAACAQRF8AwAAAAAwKIJvAAAAAAAGZfVKFwDL4fhb756tm7esyLF33mWXFTkuAAAAANxUCb65Sdi6eUuOPOmElS4DAAAAAFgGljoBAAAAAGBQBN8AAAAAAAyK4BsAAAAAgEERfAMAAAAAMCiCbwAAAAAABkXwDQAAAADAoAi+AQAAAAAYlGUPvqvq4Kq6qKo2VtVRE7bvXFXv6refU1X7jGw7um+/qKoOmm/Mqjqpqi6tqs/1r1/e3ucHAAAAAMDKWr2cB6uqVUlOSPKQJJclOa+q1rfWLhjpdliSq1pr+1XVuiTHJXlcVR2QZF2SeyS5Q5Kzququ/T5zjfmc1tpp2/3kAAAAAADYISz3jO8Dk2xsrV3SWrs2ySlJDhnrc0iSt/bvT0vyoKqqvv2U1to1rbVLk2zsx1vImAAAAAAA3EQsd/C9V5Kvjvx8Wd82sU9r7bokW5LsMce+8415bFX9V1X9Q1XtvBQnAQAAAADAjmvoD7c8Osndkvxqktsked6kTlX1tKraUFUbNm3atJz1AQAAAACwxJY7+L48yR1Hft67b5vYp6pWJ9ktyRVz7DvrmK21r7fONUnekm5ZlBtorZ3YWlvbWlu7Zs2aRZ4aAAAAAAA7guUOvs9Lsn9V7VtVO6V7WOX6sT7rkzylf//oJB9qrbW+fV1V7VxV+ybZP8m5c41ZVbfv/60kj0jyhe16dgAAAAAArLjVy3mw1tp1VXVEkg8kWZXkza2186vqRUk2tNbWJ3lTkpOramOSK9MF2en7nZrkgiTXJTm8tXZ9kkwasz/kO6pqTZJK8rkkf7pc5woAAAAAwMpY1uA7SVprZyQ5Y6zthSPvtyZ5zCz7Hpvk2IWM2bf/9rbWCwAAAADAjcvQH24JAAAAAMBNjOAbAAAAAIBBEXwDAAAAADAogm8AAAAAAAZF8A0AAAAAwKAIvgEAAAAAGBTBNwAAAAAAgyL4BgAAAABgUATfAAAAAAAMiuAbAAAAAIBBEXwDAAAAADAogm8AAAAAAAZF8A0AAAAAwKAIvgEAAAAAGBTBNwAAAAAAgyL4BgAAAABgUFavdAEAS+n4W++erZu3rMixd95llxU5LgAAAAA/bargu6pekuT1rbWvbKd6ALbJ1s1bcuRJJ6x0GQAAAACsoGmXOnlmkkuq6oyqenhVWSoFAAAAAIAdyrTB9e2THJ7ktklOT/LlqvqbqtprySsDAAAAAIBFmCr4bq1d3Vp7Q2vtV5LcJ8kHkzwnyaVV9e6qOnh7FAkAAAAAAAu16KVKWmvntdYOS7Jvkk8mOSTJ+6vqkqo63DIoAAAAAACshEWH01X181X18iTnJ/mNJO9O8oQkn0ry6iSvX5IKAQAAAABgCqun6VxVq5I8MsnTkzwwyTeTvC7JG1prX+u7nVJVH0tyXJKnLWGtAAAAAAAwr6mC7ySXJ1mT5KNJHp/k3a216yb0+88kP7uNtQEAAAAAwNSmDb5PTfK61tqFc3VqrZ2TbVhGBQAAAAAAFmuq4Lu19ufbqxAAAAAAAFgKU83KrqrnVdVrZ9n2mqp6ztKUBQAAAAAAizPtciRPTfJfs2z7XL8dAAAAAABWzLTB952SfHGWbZckufO2lQMAAAAAANtm2uD7+0n2mmXb3kmu2bZyAAAAAABg20wbfH8syXOqaufRxv7nv+y3AwAAAADAilk9Zf9jknwyycVV9fYkl6ebAf7EJHskOXQpiwMAAAAAgGlNFXy31j5fVQ9M8sokz0s3Y/xHST6e5A9aa59f+hIBAAAAAGDhpp3xndbauUnuX1U/k+TWSa5qrf1gySsDAAAAAIBFmDr4ntGH3QJvAAAAAAB2KFMH31V1lySPTXKnJLcY29xaa4ctRWEAAAAAALAYUwXfVfWIJKemW9v7W0muGevSlqguAAAAAABYlGlnfL84ydlJntBa27T05QAAAAAAwLaZNvi+S5K/FHoDAAAAALCjutmU/f8nyR7boxAAAAAAAFgK0wbfz03y1/0DLgEAAAAAYIcz7VInx6Sb8X1hVX0xyZVj21tr7beWojAAAAAAAFiMaYPv65NctD0KAQAAAACApTBV8N1ae8B2qgMAAAAAAJbEtGt8AwAAAADADm3q4Luq9qqqv6+qDVV1aVX9Yt9+ZFXdZ+lLBAAAAACAhZsq+K6qeyT57yRPSvK1JHdKslO/+c5J/mJJqwMAAAAAgClNO+P7VUkuTLJvkkclqZFtn0xy3yWqCwAAAAAAFmWqh1smuV+Sx7fWrq6qVWPbvpnkdktTFgAAAAAALM60M75/NMe2PZP8YBtqAQAAAACAbTbtjO9zkzw1yXsnbHtskk9sc0UAwETH33r3bN28ZUWOfYvdd8sRV21ekWMDAADAtKYNvl+c5Kyq+mCSdyZpSR5cVX+R5JFJ7r/E9QEAva2bt+TIk05YkWO/+tDDV+S4AAAAsBhTLXXSWvtIkkeke7jlm9M93PJlSX4zySNaa+cseYUAAAAAADCFaWd8p7X2/iTvr6r9kvxckitaaxcteWUAAAAAALAIUwffM1prG5NsXMJaAAAAAABgm00VfFfVk+fr01p72+LLAQAAAACAbTPtjO+TZmlvI+8F3wAAAAAArJipHm6Z7qGW46+1Sf42yReT3Ge+Aarq4Kq6qKo2VtVRE7bvXFXv6refU1X7jGw7um+/qKoOmmLM11TV1VOeKwAAAAAAN0JTzfhurX15QvOXk3y2qirJs5P84Wz7V9WqJCckeUiSy5KcV1XrW2sXjHQ7LMlVrbX9qmpdkuOSPK6qDkiyLsk9ktwhyVlVddd+n1nHrKq1SW49zXkCAAAAAHDjNe2M77l8LMnvztPnwCQbW2uXtNauTXJKkkPG+hyS5K39+9OSPKgP1Q9Jckpr7ZrW2qXpHqx54Fxj9kH7K5I8d5vPDgAAAACAG4WlDL7vm2S+5UT2SvLVkZ8v69sm9mmtXZdkS5I95th3rjGPSLK+tfb1uYqqqqdV1Yaq2rBp06Z5TgEAAAAAgB3ZVEudVNULJzTvlOQX0832Pn4piloKVXWHJI9J8oD5+rbWTkxyYpKsXbu2zdMdAAAAAIAd2FTBd5JjJrRdk26d72OTvHSe/S9PcseRn/fu2yb1uayqVifZLckV8+w7qf1eSfZLsrFbKSW3rKqNrbX95qkRAAAAAIAbsWkfbrmtS6Ocl2T/qto3XTi9Ljd8GOb6JE9J8qkkj07yodZaq6r1Sd5ZVX+f7uGW+yc5N0lNGrO1dn6S280MWlVXC70BAAAAAIZv2hnf26S1dl1VHZHkA0lWJXlza+38qnpRkg2ttfVJ3pTk5KramOTKdEF2+n6nJrkgyXVJDm+tXZ8kk8ZczvMCAAAAAGDHMe0a33eapn9r7SsT2s5IcsZY2wtH3m9Ntzb3pPGOTbekyrxjTuizy8KqBgAAAADgxmzaGd9fSjLNwx9XTTk+AAAAAABsk2mD72ckeX6S7yQ5Nck3062j/dgku6SbjX3NUhYIAAAAAADTmDb4vnuSzyZ5ZGvtxzO/+zW6T09y99bas5awPgAAAAAAmMrNpuz/+CRvGA29k6T/+fVJ/nCpCgMAAAAAgMWYNvjeJcmaWbb9XJJbbVs5AAAAAACwbaYNvs9O8pKq+tXRxqo6MN363mcvTVkAAAAAALA40wbfR6R7eOWnq+pLVXVOVX0pyaeSbO23AwAAAADAipnq4ZattUur6m5JDk1y3yS3T/KFdMH3W1trP1zyCgEAAAAAYApTBd9J0ofb/9y/AAAAAABghzJ18J0kVfVLSe6fZI8kb2itfaOq9kvyzdbad5eyQAAAAAAAmMZUwXdV7Zzk7UkelaSStCTvTfKNJC9PcnGSo5a4RgAAAAAAWLBpH255bJIHJ3lSktumC79n/FuSg5aoLgAAAAAAWJRplzp5fJIXtNbeWVWrxrZdmmSfJakKAAAAAAAWadoZ33skuXCOsXbetnIAAAAAAGDbTBt8X5rk12bZdmCSi7atHAAAAAAA2DbTBt9vS3JUVT0hyc37tlZVD0zyrCRvXsriAAAAAABgWtMG3y9P8v4kJye5qm/7eJKzkvx7a+21S1gbAAAAAABMbaqHW7bWrk+yrqpOSHJQkp9LckW60Psj26E+AAAAAACYyoKD76raKcmnkxzVWvtgko9tt6oAWLCdd9klr6xasWOvlJU875WyktcbAAAAbkwWHHy31q6tqn2TXLcd6wFgSs84/riVLmFF3FTPGwAAAJjftGt8n5nkodujEAAAAAAAWApTrfGd5LVJ3l5Vq5OcnuTrSdpoh9baJUtUGwAAAAAATG3a4HvmAZbPTvKsWfqsWnw5AAAAAACwbeYNvqvqt5Oc21q7OskfZWyGNwAAAAAA7EgWMuP7zCS/li78Pqmqbpbk7CSHtda+uD2LAwAAAACAaS3k4ZY14ef7JfnZpS8HAAAAAAC2zUKCbwAAAAAAuNEQfAMAAAAAMCgLWeM7Sfaqqrv071eNtG0e79hau2RJKgMAAAAAgEVYaPB92oS202fpu2qWdgAAAAAA2O4WEnw/dbtXAQAAAAAAS2Te4Lu19tblKAQAAAAAAJaCh1sCAAAAADAogm8AAAAAAAZF8A0AAAAAwKAIvgEAAAAAGBTBNwAAAAAAgyL4BgAAAABgUATfAAAAAAAMiuAbAAAAAIBBEXwDAAAAADAogm8AAAAAAAZF8A0AAAAAwKAIvgEAAAAAGBTBNwD/f3v3H61ZXdcL/P2Zc2AgGYEmMgXU6UJ5x8vFvIR2NSqtwGsxVljDDUOiS6sFmt1cCd5CnODeWP2gH0ploqFODkh5m+tlSSaY2FV+lD/4YbOcCyJDGoTMpChwZ/jeP/YeeDqeMzPonOc5s5/Xa61Z59nf/d3f/d1nnS/n4f3s89kAAAAAgyL4BgAAAABgUATfAAAAAAAMiuAbAAAAAIBBEXwDAAAAADAogm8AAAAAAAZF8A0AAAAAwKAIvgEAAAAAGBTBNwAAAAAAgzI76QkAw7P8oIPyW1UTOzcAAAAA003wDex1v/Cmiyc9BQAAAACmmFInAAAAAAAMiuAbAAAAAIBBGXvwXVUnVdWmqtpcVefOs395VV3R77+hqp45su+8vn1TVZ24uzGr6rKq+mRVfaqqrqoqxX8BAAAAAAZurMF3Vc0keXOSlyRZneTUqlo9p9uZSR5orR2V5JIkF/fHrk6yNsmzk5yU5NKqmtnNmL/UWju2tfbvk3wuyTmLeoEAAAAAAEzcuO/4Pj7J5tbaHa21R5JsSLJmTp81SS7vX1+V5MVVVX37htbaw621O5Ns7sdbcMzW2r8kSX/8gUnaol4dAAAAAAATN+7g+/Akd49sb+nb5u3TWtueZFuSlbs4dpdjVtXbk3whybOS/MHeuAgAAAAAAJauwT/csrV2RpKnJfl0kp+ar09VnVVVN1fVzffdd99Y5wcAAAAAwN417uD7niRHjmwf0bfN26eqZpMcnOT+XRy72zFbazvSlUD5ifkm1Vp7S2vtuNbacYcddtgTvCQAAAAAAJaScQffNyU5uqpWVdX+6R5WuXFOn41JTu9fn5Lk2tZa69vXVtXyqlqV5OgkNy40ZnWOSh6r8X1ykn9Y5OsDAAAAAGDCZsd5stba9qo6J8k1SWaSvK21dltVrUtyc2ttY5LLkryzqjYn+WK6IDt9vyuT3J5ke5Kz+zu5s8CYy5JcXlVPTlJJPpnkF8Z5vQAAAAAAjN9Yg+8kaa1dneTqOW3nj7x+KMnLFzj2oiQX7eGYjyZ5wV6YMgAAAAAA+5DBP9wSAAAAAIDpIvgGAAAAAGBQBN8AAAAAAAyK4BsAAAAAgEERfAMAAAAAMCiCbwAAAAAABkXwDQAAAADAoAi+AQAAAAAYFME3AAAAAACDIvgGAAAAAGBQBN8AAAAAAAyK4BsAAAAAgEERfAMAAAAAMCiCbwAAAAAABkXwDQAAAADAoAi+AQAAAAAYFME3AAAAAACDIvgGAAAAAGBQBN8AAAAAAAyK4BsAAAAAgEERfAMAAAAAMCizk54A0+VNhx6Sh7ZuG/t5lx900NjPCQAAAABMhuCbsXpo67a85k/fPOlpAAAAAAADptQJAAAAAACDIvgGAAAAAGBQBN8AAAAAAAyK4BsAAAAAgEERfAMAAAAAMCiCbwAAAAAABkXwDQAAAADAoAi+AQAAAAAYFME3AAAAAACDIvgGAAAAAGBQBN8AAAAAAAyK4BsAAAAAgEERfAMAAAAAMCiCbwAAAAAABkXwDQAAAADAoAi+AQAAAAAYlNlJTwAYn+s/95Fsf3T7pKcxNrPLZvO9T3/hpKcBAAAAwJgJvmGKbH90e455xjGTnsbY3HLXLZOeAgAAAAAToNQJAAAAAACDIvgGAAAAAGBQBN8AAAAAAAyK4BsAAAAAgEERfAMAAAAAMCiCbwAAAAAABkXwDQAAAADAoAi+AQAAAAAYFME3AAAAAACDIvgGAAAAAGBQBN8AAAAAAAyK4BsAAAAAgEERfAMAAAAAMCiCbwAAAAAABkXwDQAAAADAoAi+AQAAAAAYFME3AAAAAACDMvbgu6pOqqpNVbW5qs6dZ//yqrqi339DVT1zZN95ffumqjpxd2NW1fq+/daqeltV7bfY1wcAAAAAwGSNNfiuqpkkb07ykiSrk5xaVavndDszyQOttaOSXJLk4v7Y1UnWJnl2kpOSXFpVM7sZc32SZyU5JsmBSX5uES8PAAAAAIAlYNx3fB+fZHNr7Y7W2iNJNiRZM6fPmiSX96+vSvLiqqq+fUNr7eHW2p1JNvfjLThma+3q1ktyY5IjFvn6AAAAAACYsNkxn+/wJHePbG9J8ryF+rTWtlfVtiQr+/aPzTn28P71LsfsS5y8IskvzjepqjoryVlJ8vSnP33PrwZY0maWzeS6z35o0tMYq9lls/nep79w0tMAAAAAmKhxB9+TcmmSD7fWrp9vZ2vtLUnekiTHHXdcG+fEgMWz+si5lZSG75a7bpn0FAAAAAAmbtzB9z1JjhzZPqJvm6/PlqqaTXJwkvt3c+yCY1bVG5IcluTn98L8AQAAAABY4sZd4/umJEdX1aqq2j/dwyo3zumzMcnp/etTklzb1+jemGRtVS2vqlVJjk5Xt3vBMavq55KcmOTU1tqji3xtAAAAAAAsAWO947uv2X1OkmuSzCR5W2vttqpal+Tm1trGJJcleWdVbU7yxXRBdvp+Vya5Pcn2JGe31nYkyXxj9qf8oyR3Jflo93zM/EVrbd2YLhcAAAAAgAkYe43v1trVSa6e03b+yOuHkrx8gWMvSnLRnozZt09LDXMAAAAAAHrjLnUCAAAAAACLSvANAAAAAMCgCL4BAAAAABgUwTcAAAAAAIMi+AYAAAAAYFAE3wAAAAAADIrgGwAAAACAQRF8AwAAAAAwKLOTngBM0vWf+0i2P7p90tMYm5llM5OeAgAAAAAsOsE3U237o9tzzDOOmfQ0AAAAAIC9SKkTAAAAAAAGRfANAAAAAMCgCL4BAAAAABgUNb4B2GdN2wNqk2R22Wy+9+kvnPQ0AAAAYEkTfAOwz5rGB9Tectctk54CAAAALHlKnQAAAAAAMCiCbwAAAAAABkXwDQAAAADAoKjxDTAgM8tmct1nPzTpaYzNzLKZSU+BRXboxYdm60NbJz2NsTnkgEPywOsemPQ0AAAA9nmCb4ABWX3k6klPAfaqrQ9tzcZf3TjpaYzNyReePOkpADwh0/YBZeJDSgDYVwi+AQAA+LpM2weUiQ8pAWBfIfgGgH3IJMvZ1Btr7OdcccCKsZ8TAACAfZ/gGwD2IZMqZ/PJvGfq7uiDxaAsBABLzbT9bvJ7CaaH4BsAWNI2rzw1O7Y9OPbzzhz8pBx1/7vHfl6GTVkIAJaaafvd5PcSTA/BNwCwpO3Y9mBOe/u6sZ/3XWecP/ZzAgAAsHcIvgEAAABgoKatnM20Ub5nYYJvAAAAABioaStnM22U71nYsklPAAAAAAAA9iZ3fAMAAOwl0/bn5CsOWDHpKYzdigNWpN5Yk54Gi0TJAIDhEHwDAADsJf6cfPjWv3b9pKfAIlIyYPim8cOrafyQEhLBNwAAAABTwodXMD3U+AYAAAAAYFDc8Q0AwMSohwwAACwGwTcAABOjHjIAALAYlDoBAAAAAGBQBN8AAAAAAAyKUicAAEvEigNWpN5Yk57GWKl5DcBS4ncxwHAIvgEAloj1r10/6SkAwFTzuxhgOJQ6AQAAAABgUATfAAAAAAAMiuAbAAAAAIBBEXwDAAAAADAogm8AAAAAAAZF8A0AAAAAwKAIvgEAAAAAGBTBNwAAAAAAgzI76QkAAADDteKAFak31qSnMTYrDlgx6SkAABDBNwAAsIjWv3b9pKcAAMAUUuoEAAAAAIBBEXwDAAAAADAogm8AAAAAAAZF8A0AAAAAwKAIvgEAAAAAGBTBNwAAAAAAgyL4BgAAAABgUATfAAAAAAAMiuAbAAAAAIBBGXvwXVUnVdWmqtpcVefOs395VV3R77+hqp45su+8vn1TVZ24uzGr6py+rVXVtyz2tQEAAAAAMHmz4zxZVc0keXOSH0qyJclNVbWxtXb7SLczkzzQWjuqqtYmuTjJT1XV6iRrkzw7ydOS/HVVfUd/zEJj/m2S9yX50OJfHQAM134HHZhNsydP7NywmDavPDU7tj04kXPPHPykHHX/uydybgAAGLKxBt9Jjk+yubV2R5JU1YYka5KMBt9rklzQv74qyZuqqvr2Da21h5PcWVWb+/Gy0JittY/3bYt6UQAwdD/1B+dNegqwaHZsezCnvX3dRM79rjPOn8h5AQBg6MZd6uTwJHePbG/p2+bt01rbnmRbkpW7OHZPxtylqjqrqm6uqpvvu+++J3IoAAAAAABLjIdbJmmtvaW1dlxr7bjDDjts0tMBAAAAAOAbMO7g+54kR45sH9G3zdunqmaTHJzk/l0cuydjAgAAAAAwJcYdfN+U5OiqWlVV+6d7WOXGOX02Jjm9f31Kkmtba61vX1tVy6tqVZKjk9y4h2MCAAAAADAlxhp89zW7z0lyTZJPJ7mytXZbVa2rqpP7bpclWdk/vPK/Jjm3P/a2JFemexDm+5Oc3VrbsdCYSVJVr66qLenuAv9UVb11XNcKAAAAAMBkzI77hK21q5NcPaft/JHXDyV5+QLHXpTkoj0Zs2///SS//w1OGQAAAACAfYiHWwIAAAAAMCiCbwAAAAAABkXwDQAAAADAoAi+AQAAAAAYFME3AAAAAACDIvgGAAAAAGBQBN8AAAAAAAyK4BsAAAAAgEERfAMAAAAAMCiCbwAAAAAABkXwDQAAAADAoAi+AQAAAAAYFME3AAAAAACDIvgGAAAAAGBQBN8AAAAAAAyK4BsAAAAAgEERfAMAAAAAMCiCbwAAAAAABmV20hNg6Tj04kOz9aGti3qO30xy3Wc/tKjneCJmls1MegoAAAAAwF4m+OYxWx/amo2/unFRz7HpgpNzzDOOWdRzAAAAAADTTakTAAAAAAAGRfANAAAAAMCgCL4BAAAAABgUwTcAAAAAAIMi+AYAAAAAYFAE3wAAAAAADMrspCcAAACbV56aHdsenMi59zvowImcd5Im+f2eOfhJOer+d0/k3AAATA/BNwAAE7dj24M57e3rJj2NqTHJ7/e7zjh/IucFAGC6KHUCAAAAAMCgCL4BAAAAABgUwTcAAAAAAIMi+AYAAAAAYFAE3wAAAAAADIrgGwAAAACAQRF8AwAAAAAwKIJvAAAAAAAGRfANAAAAAMCgCL4BAAAAABgUwTcAAAAAAIMi+AYAAAAAYFAE3wAAAAAADIrgGwAAAACAQRF8AwAAAAAwKIJvAAAAAAAGRfANAAAAAMCgCL4BAAAAABgUwTcAAAAAAIMi+AYAAAAAYFAE3wAAAAAADIrgGwAAAACAQRF8AwAAAAAwKIJvAAAAAAAGRfANAAAAAMCgCL4BAAAAABgUwTcAAAAAAIMi+AYAAAAAYFAE3wAAAAAADMrYg++qOqmqNlXV5qo6d579y6vqin7/DVX1zJF95/Xtm6rqxN2NWVWr+jE292Puv9jXBwAAAADAZI01+K6qmSRvTvKSJKuTnFpVq+d0OzPJA621o5JckuTi/tjVSdYmeXaSk5JcWlUzuxnz4iSX9GM90I8NAAAAAMCAjfuO7+OTbG6t3dFaeyTJhiRr5vRZk+Ty/vVVSV5cVdW3b2itPdxauzPJ5n68ecfsj3lRP0b6MV+2iNcGAAAAAMASMO7g+/Akd49sb+nb5u3TWtueZFuSlbs4dqH2lUm29mMsdC4AAAAAAAZmdtITWAqq6qwkZ/WbX66qTZOcz4hvSfLPYzvbt+U5J//xyTOLeYqnVfJ7Z5y/mKdgoL6c5KBJTwKWCOthjGZPnvQMpsrX+x5hn18TE/o5m9R7skcr+ccjra1F85Uk3zTpScASYT3A46yH4WrZURfUJyY9jQl6xkI7xh1835PkyJHtI/q2+fpsqarZJAcnuX83x87Xfn+SQ6pqtr/re75zJUlaa29J8pav54IWU1Xd3Fo7btLzgKWgqm5+wHqAJNYDzGVNwOOq6ua21XqAxHqAUdYD02jcpU5uSnJ0Va2qqv3TPaxymZGJpAAADH9JREFU45w+G5Oc3r8+Jcm1rbXWt6+tquVVtSrJ0UluXGjM/pjr+jHSj/mXi3htAAAAAAAsAWO947u1tr2qzklyTZKZJG9rrd1WVeuS3Nxa25jksiTvrKrNSb6YLshO3+/KJLcn2Z7k7NbajiSZb8z+lK9LsqGqLkzy8X5sAAAAAAAGrLobo1mKquqsvgwLTD3rAR5nPcC/Zk3A46wHeJz1AI+zHphGgm8AAAAAAAZl3DW+AQAAAABgUQm+l6CqOqmqNlXV5qo6d9LzgcVSVW+rqnur6taRtm+uqg9U1Wf6r4f27VVVv9+vi09V1XNHjjm97/+Zqjp9vnPBUlZVR1bVdVV1e1XdVlW/2LdbD0ylqjqgqm6sqk/2a+KNffuqqrqh/9m/on+wefqHn1/Rt99QVc8cGeu8vn1TVZ04mSuCb1xVzVTVx6vqff229cBUqqrPVtUtVfWJqrq5b/OeialUVYdU1VVV9Q9V9emq+h7rAR4n+F5iqmomyZuTvCTJ6iSnVtXqyc4KFs2fJjlpTtu5ST7YWjs6yQf77aRbE0f3/85K8odJ9yY3yRuSPC/J8UnesPMXO+xDtif55dba6iTPT3J2/99+64Fp9XCSF7XWjk3ynCQnVdXzk1yc5JLW2lFJHkhyZt//zCQP9O2X9P3Sr6O1SZ6d7vfNpf17LdgX/WKST49sWw9Msx9orT2ntXZcv+09E9Pq95K8v7X2rCTHpvs9YT1AT/C99ByfZHNr7Y7W2iNJNiRZM+E5waJorX04yRfnNK9Jcnn/+vIkLxtpf0frfCzJIVX11CQnJvlAa+2LrbUHknwgXxumw5LWWvt8a+3v+9dfSveG9fBYD0yp/mf7y/3mfv2/luRFSa7q2+euiZ1r5aokL66q6ts3tNYebq3dmWRzuvdasE+pqiOSvDTJW/vtivUAo7xnYupU1cFJTkhyWZK01h5prW2N9QCPEXwvPYcnuXtke0vfBtPiKa21z/evv5DkKf3rhdaGNcOg9H+S/l1Jboj1wBTryzp8Ism96f4H7P8m2dpa2953Gf35fuxnv9+/LcnKWBMMx+8m+ZUkj/bbK2M9ML1akr+qqr+rqrP6Nu+ZmEarktyX5O19Kay3VtWTYj3AYwTfwJLVWmvp3tjCVKiqg5L8eZLXtNb+ZXSf9cC0aa3taK09J8kR6e5KfdaEpwQTUVU/kuTe1trfTXousES8sLX23HRlG86uqhNGd3rPxBSZTfLcJH/YWvuuJA/m8bImSawHEHwvPfckOXJk+4i+DabFP/V/bpX+6719+0Jrw5phEKpqv3Sh9/rW2l/0zdYDU6//k93rknxPuj/Jne13jf58P/az3+8/OMn9sSYYhhckObmqPpuuDOKL0tV0tR6YSq21e/qv9yZ5b7oPR71nYhptSbKltXZDv31VuiDceoCe4HvpuSnJ0f1T2vdP9wCajROeE4zTxiQ7nyJ9epK/HGn/mf5J1M9Psq3/861rkvxwVR3aP4Djh/s22Gf0tVcvS/Lp1trvjOyyHphKVXVYVR3Svz4wyQ+lq31/XZJT+m5z18TOtXJKkmv7O5w2JllbVcuralW6hzndOJ6rgL2jtXZea+2I1toz0/2/wbWttZ+O9cAUqqonVdWKna/Tvde5Nd4zMYVaa19IcndVfWff9OIkt8d6gMfM7r4L49Ra215V56T7j8xMkre11m6b8LRgUVTVu5N8f5Jvqaot6Z4k/RtJrqyqM5PcleQn++5XJ/lP6R7E9JUkZyRJa+2LVfXr6T40SpJ1rbW5D8yEpe4FSV6R5Ja+pnGSvD7WA9PrqUkur6qZdDdqXNlae19V3Z5kQ1VdmOTj6R/m1H99Z1VtTvfQ5LVJ0lq7raquTPc/gduTnN1a2zHma4HF8rpYD0yfpyR5b3fPQGaT/Flr7f1VdVO8Z2I6vSrJ+v7GyTvS/Ywvi/UASZLqPvwHAAAAAIBhUOoEAAAAAIBBEXwDAAAAADAogm8AAAAAAAZF8A0AAAAAwKAIvgEAAAAAGBTBNwAAjKiqV1ZV6/99xzz7v29k/w9OYo4AAMCuCb4BAGB+X0ryinnaT+/3AQAAS5TgGwAA5vcXSU6rqtrZUFUHJjklyZ9PbFZLRFUtn/QcAABgIYJvAACY3zuTPCPJC0fafizde+h5g+++DMoHq+pLVfVgVV1TVf9uTp+Zqrqwqj5fVV+pqmur6ll96ZQLRvodVVXvrKo7q+qrVXVHVf1hVR26u4lX1QX9eMdU1XX9eT5fVeuqatlIvwOq6pKqurWqvlxVX6iq/1VVz5oz3s7yLydU1XuqamuSG/p9311VH6iq+0fmeemc41dV1fqquq+qHq6qT1TVj80z72Or6r0jY22qqvN2d70AADCX4BsAAOZ3V5IP51+XO/mZJO9N8uW5navqpUk+2O87Lcl/TrIiyfVVdeRI1zcmeX2SdyRZk+Svkmyc5/xPS3J3ktckOTHJuiQvTnL1E7iG/5nkr5O8LMmfJfm1JOeP7F/ez/HCJC9N8gtJDkjy0ar6tnnGW5/kznR3vZ9bVQcluSbJjiSvTPKSfp6zOw/or/2GJMcm+aUkJyf5+yR/XlUnj/Q7PslHk/ybvt9Lk/xOkiOewPUCAECSkTekAADA13hHkt+uqlcnOTTJD6YLd+fze0n+prW2ZmdDVV2X5I4kv5zkNf3d2q9J8kettdf13T5QVY8k+e3RwVprH04XvO8c6/8k2ZwuSP+u1trH92D+f9Ja+43+9V9V1ZOT/HJV/W5rbWtrbVuSnxs5x0y6IPufkpya5JI5413VWvuVkf7Hpfu+/Epr7VMj/f505PUFSSrJ97XW7u/brukD8XV5PPT/rST3J3l+a+0rfdu1e3CNAADwNdzxDQAAC3tPuruifzTJTyf5Qrq7uv+Vqjo63Z3K66tqdue/JF9JdxfzCX3XY5I8qR931FXzjLl/Vb2+qv6hqr6a5P8lub7f/Z17OP8r52xvSHJQksfKr1TVT1bVDX35ku1JHuz7zHeO987Z/kySrUn+uKpOm3Nn+04npbtLfduc7801SY6tqidX1TcleUGS9SOhNwAAfN0E3wAAsIDW2pfSlQt5RboyJ+tba4/O0/Vb+6+XpQuoR//9SJKV/f6n9l/vnXP8P80z5v9Id7f0u9KV/Tg+yY/3+w7Yw0uYO+7O7cOTpKp+NMkVST6drjTL85J8d5L7FjjH50c3+jvGfyDJPya5NMnn+nrhPzHS7VvTfe/mfl9+s9+/Mt1d48uSbNnD6wIAgF1S6gQAAHbtHUn+d7pg9tQF+uws4XFeupracz3Sf90ZHH9rkttG9j9lnmPWJnlHa+3CnQ19Te0n4inpSq3MPc89I+fY3Fp75cg59kvyzQuM176mobVPJPmJ/i7u49J9D66sqmNba7em+95cn+TiBcb8xyQzSR5NH8gDAMA3SvANAAC79oF0JUO2ttZuW6DPpiSfTfLskZra87klXSmRlye5bqT95fP0/aZ0d0aPOmNPJjziJ5OMzmdtuodv3jJyju1zjnlFuiD6CWmtbU/ysar6tXQPsPy3SW5N8v4k35PkttbaVxc6vqo+kuS0qlq3q34AALAnBN8AALALrbUdWfhO7519WlWdneQvq2r/dEH5P6e7w/o/Jvlca+13WmsPVNXvJnl9VX0p3d3hz01yZj/UaBmV9yc5vapuSfdQyx/vx3oi/ktVLUtyU5IT0z3I8oK+RMnOc7ysqi5J8r50d2y/Kl3d7t2qqh9Jcla6cjB3pqtf/uokX0pX2zxJzk9yY5IPV9Wb0n1AcGi6OuPf3lr72b7fa5P8TZKPVtVvpyt78u1JntNae9UTvG4AAKac4BsAAPaC1trVVXVCkv+W5K1JDkz3MMyPpaujvdMbklS6sPvVSW5I8sokf5tk20i/V/X9Luq3r04XwN/4BKa1JskfJPm1fuwLk/z6yP4/SXJkkp9N8vPpAvIfzdc+xHIhn0ny1X78p6YLvG9K8kOttS1J0lr7XFUdl65e+X9Pcli68ie3Jrl850CttZuq6gVJ1vVzXp7kriRvfwLXCwAASZJq7WvK9AEAAGNUVackeU+SE1pr1++F8S5IF7Dv15cgAQCAqeKObwAAGKOqel6Sl6a70/uhJP8hybnp7gz/yASnBgAAgyH4BgCA8fpykhOSnJ3kyUnuTVcT/LzmzzEBAGCvUOoEAAAAAIBBWTbpCQAAAAAAwN4k+AYAAAAAYFAE3wAAAAAADIrgGwAAAACAQRF8AwAAAAAwKIJvAAAAAAAG5f8DWWGliPZTTTUAAAAASUVORK5CYII=\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.subplots(figsize=(25,10))\n",
        "\n",
        "\n",
        "sns.histplot(data=SNR_alvos,kde=False, bins=51, element=\"step\",color='red',fill=False)\n",
        "\n",
        "plt.title('Sinal Ruído alvos', fontsize=18)\n",
        "plt.xlabel(' ?', fontsize=16) #parsec ?\n",
        "plt.ylabel('Frequency', fontsize=16)\n",
        "\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 630
        },
        "id": "d5E7wNi8GbXf",
        "outputId": "eeadb919-1f39-4429-c819-6d4a1805b2fa"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1800x720 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.subplots(figsize=(25,10))\n",
        "\n",
        "sns.histplot(data=SNR_all,kde=False, bins=21, element=\"step\",color='green', fill=True, stat=\"density\")\n",
        "\n",
        "\n",
        "sns.histplot(data=SNR_alvos,kde=False, bins=21, element=\"step\",color='red',fill=True, stat=\"density\")\n",
        "\n",
        "plt.title('Sinal Ruído alvos e população', fontsize=18)\n",
        "plt.xlabel(' SNR', fontsize=16) #parsec ?\n",
        "plt.ylabel('Frequency', fontsize=16)\n",
        "\n",
        "plt.show()\n",
        "print()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 649
        },
        "id": "YQMjL5sSxqAn",
        "outputId": "c67b3a9b-857c-4994-ea98-29879a46e926"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1800x720 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        },
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "\n"
          ]
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.subplots(figsize=(25,10))\n",
        "\n",
        "sns.histplot(data=MAG_abs_all,kde=False, bins=21, element=\"step\",color='green', fill=False, stat=\"density\")\n",
        "\n",
        "\n",
        "sns.histplot(data=MAG_abs_alvos,kde=False, bins=21, element=\"step\",color='red',fill=False, stat=\"density\")\n",
        "\n",
        "#plt.xlim(15.5,20.5)\n",
        "\n",
        "plt.xlim(reversed(plt.xlim()))\n",
        "plt.title('MAG Absoluta alvos e população', fontsize=18)\n",
        "plt.xlabel('r [MAG]', fontsize=16) #parsec ?\n",
        "plt.ylabel('Frequency', fontsize=16)\n",
        "\n",
        "plt.show()\n",
        "#salvar este plot"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 630
        },
        "id": "sq_e7ageGYY1",
        "outputId": "533b3c48-cda2-4ad9-9b84-a4bb947fe0f6"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1800x720 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "#sns.set_theme(style=\"whitegrid\")\n",
        "\n",
        "plt.subplots(figsize=(25,10))\n",
        "\n",
        "#sns.lineplot(Zalvos,SNR_alvos)\n",
        "\n",
        "sns.scatterplot(SNR_alvos,Zalvos, color='red')\n",
        "\n",
        "plt.title('Sinal Ruído alvos vs Redshift alvos', fontsize=18)\n",
        "plt.xlabel(' Sinal Ruído', fontsize=16) #parsec ?\n",
        "plt.ylabel('Redshift', fontsize=16)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 705
        },
        "id": "dFfWzBwMKbdG",
        "outputId": "50cb5eb5-ae69-4264-afd6-71e962e17a35"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/seaborn/_decorators.py:43: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n",
            "  FutureWarning\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0, 0.5, 'Redshift')"
            ]
          },
          "metadata": {},
          "execution_count": 12
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1800x720 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "source": [
        "plt.subplots(figsize=(25,10))\n",
        "\n",
        "#sns.lineplot(Zalvos,SNR_alvos)\n",
        "\n",
        "sns.scatterplot(SNR_all,Zall, color='red')\n",
        "\n",
        "plt.title('Sinal Ruído all vs Redshift all', fontsize=18)\n",
        "plt.xlabel(' Sinal Ruído', fontsize=16) #parsec ?\n",
        "plt.ylabel('Redshift', fontsize=16)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 598
        },
        "id": "gL0cmjSiBJ2c",
        "outputId": "c12087bc-2374-4a5b-d020-72d64d0899a5"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stderr",
          "text": [
            "/usr/local/lib/python3.7/dist-packages/seaborn/_decorators.py:43: FutureWarning: Pass the following variables as keyword args: x, y. From version 0.12, the only valid positional argument will be `data`, and passing other arguments without an explicit keyword will result in an error or misinterpretation.\n",
            "  FutureWarning\n"
          ]
        },
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0, 0.5, 'Redshift')"
            ]
          },
          "metadata": {},
          "execution_count": 7
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 1800x720 with 1 Axes>"
            ],
            "image/png": 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}