more_comparisons.ipynb

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    "colab": {
      "name": "More comparisons.ipynb",
      "provenance": [],
      "authorship_tag": "ABX9TyPc7eGObtwE+gJozFqXI+8I",
      "include_colab_link": true
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    "kernelspec": {
      "name": "python3",
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  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/microprediction/firstdown/blob/main/more_comparisons.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "bASjzoIUTneR"
      },
      "source": [
        "import pandas as pd\n",
        "df = pd.read_csv('https://raw.githubusercontent.com/microprediction/nflMarkov/master/inputData/pbp_nfldb_2009_2013.csv')\n",
        "pd.set_option('mode.chained_assignment',None)"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "yX9O-ZuIMx7N"
      },
      "source": [
        "## Do you want 2nd and 1-yard or 1st and 10-yards? \n",
        "Thanks Ben Dilday for compiling the down data. \n",
        "\n",
        "This notebook examines 2nd down and close positions, and considers the question of whether 2nd down and 1 is superior to 1st down and 10 (plus one yard)\n",
        "\n",
        "### Step 1: We add the final field position achieved in the drive and a few other things... "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "7y-yiSI3NUKI"
      },
      "source": [
        "drive_start = 0\n",
        "drive_starts = list()\n",
        "\n",
        "drive_index = 0\n",
        "drive_indexes = list()\n",
        "down_index = 0\n",
        "down_indexes = list()\n",
        "running_first_yfogs = list()    # Best field position of drive at 1st down\n",
        "running_yfogs = list() # just a check\n",
        "running_yfog = 0 \n",
        "best_first_yfog = 0 \n",
        "prev_team = None \n",
        "is_first_play_of_drive = True \n",
        "is_firsts = list()\n",
        "\n",
        "for yfog, dwn, posteam in zip(df['yfog'].values,df['dwn'].values, df['posteam'].values):\n",
        "\n",
        "    is_first_play_of_drive = (prev_team != posteam )\n",
        "    is_firsts.append(dwn==1)\n",
        "    if is_first_play_of_drive:\n",
        "        drive_start = yfog \n",
        "        drive_index += 1 \n",
        "         \n",
        "    # Update best field position for the drive \n",
        "    running_yfog = yfog \n",
        "    if dwn==1:\n",
        "        running_first_yfog = yfog\n",
        "\n",
        "    # Update    \n",
        "    running_first_yfogs.append(running_first_yfog)\n",
        "    running_yfogs.append(running_yfog)\n",
        "    drive_indexes.append(drive_index)\n",
        "    drive_starts.append(drive_start)\n",
        "\n",
        "    if (posteam!=prev_team):\n",
        "       down_index += 1 \n",
        "       down_indexes.append(down_index)\n",
        "    else:\n",
        "       down_indexes.append(down_index)\n",
        "       if dwn==1:\n",
        "          down_index+=1 \n",
        "\n",
        "    prev_team = posteam \n",
        "     \n",
        "df['is_first'] = is_firsts\n",
        "df['running_yfog'] = running_yfogs\n",
        "df['running_first_yfog'] = running_first_yfogs\n",
        "df['drive_index'] = drive_indexes\n",
        "df['drive_start'] = drive_starts\n",
        "df['down_index'] = down_indexes\n",
        "   \n",
        "df['eventual_yfog'] = df[['drive_index','running_yfog']].groupby('drive_index').transform(max)\n",
        "df['eventual_down_yfog_raw'] = df[['down_index','running_yfog']].groupby('down_index').transform(max)\n",
        "df['eventual_down_yfog'] = [ d1 if dwn>1 else d2 for d1, d2, dwn in zip (df['eventual_down_yfog_raw'],df['eventual_down_yfog_raw'].shift(-1),df['dwn']) ]\n",
        "del df['eventual_down_yfog_raw']\n",
        "\n",
        "df['eventual_first_yfog'] = df[['drive_index','running_first_yfog']].groupby('drive_index').transform(max)\n",
        "df['eventual_drive'] = df['eventual_yfog'] - df['drive_start']\n",
        "df['eventual_gain'] = df['eventual_yfog'] - df['yfog']\n",
        "df['eventual_down_gain'] = df['eventual_down_yfog'] - df['yfog']\n",
        "df['will_get_first_down'] = df['eventual_down_gain']>=df['ytg']\n",
        "assert all(df['running_yfog']==df['yfog'])\n",
        "\n",
        "\n"
      ],
      "execution_count": null,
      "outputs": []
    },
    {
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        },
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        "outputId": "6c1d3bbf-fe9e-4399-a2a0-466bffeba7b9"
      },
      "source": [
        "df[70:80]"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
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              "      <th>eventual_first_yfog</th>\n",
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              "    </tr>\n",
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              "      <td>BenRoethlisberger</td>\n",
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              "      <td>0.0</td>\n",
              "      <td>False</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "       game_id         playername  ...  eventual_down_gain  will_get_first_down\n",
              "70  2009091000       WillieParker  ...                 1.0                False\n",
              "71  2009091000       WillieParker  ...                 0.0                False\n",
              "72  2009091000       ChrisJohnson  ...                 1.0                False\n",
              "73  2009091000       ChrisJohnson  ...                 0.0                False\n",
              "74  2009091000       ChrisJohnson  ...                 0.0                False\n",
              "75  2009091000  BenRoethlisberger  ...                11.0                 True\n",
              "76  2009091000       WillieParker  ...                11.0                 True\n",
              "77  2009091000  BenRoethlisberger  ...                 7.0                 True\n",
              "78  2009091000  BenRoethlisberger  ...                 3.0                False\n",
              "79  2009091000       WillieParker  ...                 0.0                False\n",
              "\n",
              "[10 rows x 24 columns]"
            ]
          },
          "metadata": {},
          "execution_count": 3
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 483
        },
        "id": "0wxRejRgA_62",
        "outputId": "a0deafaf-c740-46f7-ab06-c6287f2d56a3"
      },
      "source": [
        "df_1st_10 = df[(df['ytg']==10) & (df['dwn']==1) & (df['yfog']<=51)]\n",
        "df_1st_10[['eventual_down_gain','eventual_gain']].groupby('eventual_down_gain').count().reset_index().rename(columns={'eventual_gain':'count'}).sort_values('count',ascending=False)[1:15]"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
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              "      <th></th>\n",
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              "    </tr>\n",
              "    <tr>\n",
              "      <th>44</th>\n",
              "      <td>3.0</td>\n",
              "      <td>1106</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>45</th>\n",
              "      <td>4.0</td>\n",
              "      <td>1105</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>59</th>\n",
              "      <td>18.0</td>\n",
              "      <td>1080</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>50</th>\n",
              "      <td>9.0</td>\n",
              "      <td>1042</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "    eventual_down_gain  count\n",
              "41                 0.0   3311\n",
              "53                12.0   2678\n",
              "54                13.0   2240\n",
              "55                14.0   1935\n",
              "51                10.0   1769\n",
              "56                15.0   1701\n",
              "57                16.0   1478\n",
              "58                17.0   1276\n",
              "43                 2.0   1112\n",
              "46                 5.0   1109\n",
              "44                 3.0   1106\n",
              "45                 4.0   1105\n",
              "59                18.0   1080\n",
              "50                 9.0   1042"
            ]
          },
          "metadata": {},
          "execution_count": 8
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 282
        },
        "id": "lF1NC2un-DG6",
        "outputId": "d73576a0-6c30-448e-afe3-649f1840e464"
      },
      "source": [
        "df_2nd_1 = df[(df['ytg']==1) & (df['dwn']==2) & (df['yfog']<=30)]\n",
        "df_2nd_1['eventual_down_gain'].hist(bins=100)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7fb9b21d2350>"
            ]
          },
          "metadata": {},
          "execution_count": 11
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 282
        },
        "id": "p7ej73cg-RnJ",
        "outputId": "ec4461b9-5f7a-4d0f-df4f-7973577089f3"
      },
      "source": [
        "df_1st_10 = df[(df['ytg']==10) & (df['dwn']==1) & (df['yfog']<=31)]\n",
        "df_1st_10['eventual_down_gain'].hist(bins=100)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.axes._subplots.AxesSubplot at 0x7fb9b21d4150>"
            ]
          },
          "metadata": {},
          "execution_count": 12
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "mwvC6qzOmSAw"
      },
      "source": [
        "Inside one's own territory, are you more likely to advance a long way from 1st and 10 or 2nd and 1? "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "dCgBRlGqmYPG",
        "outputId": "2506f911-3484-4079-c24f-4a2feea58729"
      },
      "source": [
        "df_2nd_1 = df[(df['ytg']==1) & (df['dwn']==2) & (df['yfog']<=30)]\n",
        "df_2nd_1['drive_success'] = (df_2nd_1['eventual_yfog']-df_2nd_1['yfog'])>21\n",
        "df_2nd_1['drive_success'].mean()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.6099290780141844"
            ]
          },
          "metadata": {},
          "execution_count": 13
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "RyIrcNFxmRjO",
        "outputId": "60a75ee3-62f2-4b4a-f0bb-db468c1b2d69"
      },
      "source": [
        "df_1st_10 = df[(df['ytg']==10) & (df['dwn']==1) & (df['yfog']<=31)]\n",
        "df_1st_10['drive_success'] = (df_1st_10['eventual_yfog']-df_1st_10['drive_start'])>20\n",
        "df_1st_10['drive_success'].mean()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "0.5746527777777778"
            ]
          },
          "metadata": {},
          "execution_count": 14
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "CmzYWBmmnWJt"
      },
      "source": [
        "We see that a team has a 60% chance of achieving a 1st down at least 21 yards further down the field from 2nd and 1, whereas the equivalent gain from 1st and 10 occurs only 57% of the time. \n",
        "\n",
        "Now what if we specialize to 2nd and 1 on the 39 yard line?"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "bre0vWhpuV-t",
        "outputId": "c59b5fd9-86ef-40b7-cf98-290e408f704f"
      },
      "source": [
        "df_2nd_1_29 = df[(df['ytg']==1) & (df['dwn']==2) & (df['yfog']==39)]\n",
        "df_2nd_1_29['drive_success'] = (df_2nd_1_29['eventual_yfog']-df_2nd_1_29['drive_start'])>31\n",
        "(df_2nd_1_29['drive_success'].mean(), df_2nd_1_29['drive_success'].count())\n"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(0.6046511627906976, 43)"
            ]
          },
          "metadata": {},
          "execution_count": 15
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "1WN2_nrCvkq8",
        "outputId": "f9231f20-052b-41a4-d1b9-5f38e4b59c82"
      },
      "source": [
        "df_1st_10_30 = df[(df['ytg']==10) & (df['dwn']==1) & (df['yfog']==40)]\n",
        "df_1st_10_30['drive_success'] = (df_1st_10_30['eventual_yfog']-df_1st_10_30['drive_start'])>30\n",
        "(df_1st_10_30['drive_success'].mean(), df_1st_10_30['drive_success'].count())"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "(0.5722070844686649, 1101)"
            ]
          },
          "metadata": {},
          "execution_count": 16
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "VRsxAxXdnslq"
      },
      "source": [
        "Another way to come at this is looking at average yards ... "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "8BUmeGzMYpGN",
        "outputId": "2cb1acca-dd2e-49ed-9d74-64b68dbe7fdb"
      },
      "source": [
        "df[(df['dwn']==1) & (df['ytg']==10) & (df['yfog']==40)]['eventual_gain'].mean()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "25.929155313351497"
            ]
          },
          "metadata": {},
          "execution_count": 129
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "xU7wMGpv00de",
        "outputId": "ffd4aa42-3ecb-406b-8bed-9c8af335e093"
      },
      "source": [
        "df[(df['dwn']==2) & (df['ytg']==1) & (df['yfog']==39)]['eventual_gain'].mean()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "28.023255813953487"
            ]
          },
          "metadata": {},
          "execution_count": 130
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "73qQRQSzuha0"
      },
      "source": [
        "But on average, across field positions, it is pretty close..."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "snMiw7ZouRE-",
        "outputId": "4efdf759-229f-481b-9e42-a3f505cb6f30"
      },
      "source": [
        "df[(df['dwn']==1) & (df['ytg']==10) & (df['yfog']>20) & (df['yfog']<70)]['eventual_gain'].mean()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "24.854384133611692"
            ]
          },
          "metadata": {},
          "execution_count": 134
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "Tes_e6oNuYIW",
        "outputId": "04127557-75f4-4e4d-dda0-5fa17468182c"
      },
      "source": [
        "df[(df['dwn']==2) & (df['ytg']==1) & (df['yfog']>20) & (df['yfog']<70)]['eventual_gain'].mean()-1"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "24.93287827076223"
            ]
          },
          "metadata": {},
          "execution_count": 135
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "xV-WGBgn9bEY"
      },
      "source": [
        "We can look at average yards on the drive"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 286
        },
        "id": "tkVC7AKToCkw",
        "outputId": "569c18be-47c7-45b9-ad96-43b3f9221edf"
      },
      "source": [
        "df_ytg_10 = df[(df['dwn']==1) & (df['ytg']==10)]\n",
        "summary_10 = df_ytg_10[['yfog','eventual_gain']].groupby('yfog').mean().reset_index()\n",
        "df_ytg_9 = df[(df['dwn']==2) & (df['ytg']==1)]\n",
        "df_ytg_9['eventual_gain_less'] = df_ytg_9['eventual_gain'] - 1 \n",
        "summary_9 = df_ytg_9[['yfog','eventual_gain_less']].groupby('yfog').mean().reset_index()\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "plt.plot(summary_10['yfog'],summary_10['eventual_gain'], summary_9['yfog'],summary_9['eventual_gain_less'],marker='o',linestyle='None')\n",
        "plt.grid()\n",
        "plt.xlim(20,60)\n",
        "plt.ylim(20,40)\n",
        "plt.legend(['First and ten','Second and nine'])"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7fb9b1e68ed0>"
            ]
          },
          "metadata": {},
          "execution_count": 19
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 286
        },
        "id": "HHIF9XAlWqOY",
        "outputId": "f5e4a19c-c8d4-4f03-8dd8-b02ec89dce40"
      },
      "source": [
        "from scipy.signal import savgol_filter\n",
        "summary_9['eventual_gain_less_smoothed'] = savgol_filter(summary_9['eventual_gain_less'].values,7,3)\n",
        "plt.plot(summary_10['yfog'],summary_10['eventual_gain'], summary_9['yfog'],summary_9['eventual_gain_less_smoothed'],marker='o',linestyle='--')\n",
        "plt.grid()\n",
        "plt.xlim(15,55)\n",
        "plt.ylim(20,40)\n",
        "plt.legend(['First and ten','Second and nine'])\n"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.legend.Legend at 0x7fb9b1df7890>"
            ]
          },
          "metadata": {},
          "execution_count": 20
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 390
        },
        "id": "2cL8rn5sMegW",
        "outputId": "492091fc-bb54-4648-8ba9-739a83d0bb35"
      },
      "source": [
        "df_ytg_10 = df[(df['dwn']==1) & (df['ytg']==10)& (df['yfog']<70) & (df['yfog']>20)]\n",
        "summary_10 = df_ytg_10[['yfog','will_get_first_down']].groupby('yfog').mean().reset_index()\n",
        "df_ytg_92 = df[(df['dwn']==2) & (df['ytg']==1)& (df['yfog']<70) & (df['yfog']>20)]\n",
        "summary_92 = df_ytg_92[['yfog','will_get_first_down']].groupby('yfog').mean().reset_index()\n",
        "summary_92['will_get_first_down_smoothed'] = savgol_filter(summary_92['will_get_first_down'],7,3)\n",
        "df_ytg_93 = df[(df['dwn']==3) & (df['ytg']==1)& (df['yfog']<70) & (df['yfog']>20)]\n",
        "summary_93 = df_ytg_93[['yfog','will_get_first_down']].groupby('yfog').mean().reset_index()\n",
        "summary_93['will_get_first_down_smoothed'] = savgol_filter(summary_93['will_get_first_down'],7,3)\n",
        "\n",
        "# Run versus pass\n",
        "df_ytg_92_r = df[(df['dwn']==2) & (df['ytg']==1) & (df['type']=='RUSH') & (df['yfog']<70) & (df['yfog']>20)]\n",
        "df_ytg_92_p = df[(df['dwn']==2) & (df['ytg']==1) & (df['type']=='PASS') & (df['yfog']<70) & (df['yfog']>20)]\n",
        "summary_92_r = df_ytg_92_r[['yfog','will_get_first_down']].groupby('yfog').mean().reset_index()\n",
        "summary_92_r['will_get_first_down_smoothed'] = savgol_filter(summary_92_r['will_get_first_down'],5,2)\n",
        "summary_92_p = df_ytg_92_p[['yfog','will_get_first_down']].groupby('yfog').mean().reset_index()\n",
        "summary_92_p['will_get_first_down_smoothed'] = savgol_filter(summary_92_p['will_get_first_down'],7,3)\n",
        "\n",
        "\n",
        "import matplotlib.pyplot as plt\n",
        "plt.plot(summary_10['yfog'],summary_10['will_get_first_down'], summary_92['yfog'],summary_92['will_get_first_down_smoothed'],\n",
        "         summary_92_r['yfog'],summary_92_r['will_get_first_down_smoothed'],\n",
        "         summary_92_p['yfog'],summary_92_p['will_get_first_down_smoothed'],\n",
        "          summary_92['yfog'],summary_92['will_get_first_down_smoothed'])\n",
        "plt.grid()\n",
        "plt.xlim(20,50)\n",
        "plt.ylim(0.5,1)\n",
        "plt.legend(['First and ten','Second and one','Second and one (rush)','Second and one (pass)','Third and one'])\n",
        "plt.title('First down completion')\n",
        "plt.rcParams[\"figure.figsize\"] = (12,6)\n",
        "from matplotlib import rc_params"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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zV9dStSfuTRLh3OOMJiMx6THXguCrAfG5tHOYNBMAVmZWNKrZiIC6AXjtcyL3UmtMl9ryyXfv8frTb0sQV8Y+3vsxGfoMIq5EcDTxKC3cWlT2kMRdJtuQzdzDc1l0fBFO1k7M6jmrzHKIr6ZcrDuzTlIu7iGapvFl6Jf8evpXHvd/nCnNp5RZ2/qLF8nctw/XZ5657d+Ll9q+RMTlCN7b/R4NHBvQulbrUvXrOGwYSfN/IDUwEOfx40vVlrg3SZB8D0nMSrwpGI68Ekm2MRsAhcLTwROfmj4MbDAQHycffGr6UN++PmY6M7IvXWTJ0r04J59AQ6E70p3v33uPJ2fMqORHVn1sObeFv879xdTmU1l6cikrw1dKkCxuEJkdyedrPycqNYoRjUfwcruXcbRyLNM++nn347fTv7Ejdgd9vPqUadvi7vTD0R9YcGwBY5qOYXqb6WXadtrGTaBp2PfvR9yOHZzaepqLidb0f7IVTr5+184z15kzs/tMxq0fxwtbXmD54OV41PAocb9WPj5Y+fmSsnqNBMmiRCRIrqb0Jj1BZ4M4mXTyWkCcnJ187biztTM+Tj481PQhfGr60MSpCQ1rNsTmNiVC9y9cj16rT+OIldCmEWeSskgkgN8fm8Gg/3sI2+bNK+KhVVsZ+gw+2PMBPk4+PN3qaRKzEgk8G8gr7V/BzsKusocn7gJzDs5hfsJ8POw8mNd3Hl3qdCmXftq5t8PZ2pngqGAJku8By04u46uDXzGk4RBe7/h6mX86GL/+b843H8n+OYdI1btirmqj0Nj4fSgPftgAM5t//+44Wjkyp9ccxgWOY/qW6SwauOi2f5eK4jhsmJSpFiUmQXI1NffQXOYfnY+NuQ2NHBvRvV73vJnh/NnhO81bTD0TwdHIOnjqD+NomUXcI+MY3tyfxf+bT4JdD4L/t4q2Ht/g9szT2LRsWU6Pqnr7+uDXXMy8yOc9PsdCZ8FIn5GsilhFcFRwqfPzRNV3POk43x/5nna27fhm+DfYWtiWW1/mOnP6ePZh7Zm1ZBmyShWkiLvb6ojVfLT3I3rW78l7Xd8r9QK9q3KvXCYi8G9O7ksn3vFR0EzUs42hQ9tUGg7sRcy2EALX1mH3N8vp+vKkG65tWLMhn97/Kc/9/Rwzds7g0/s/LXHg7jh4MBc/nUnK6jXUeunFsnho4h4iQXI1lJqbyi+nfqGPZx8+6/7ZLSts3Yk9i7ehqIN37A5s2rYFpbB2dWPC1y/x4cefAN3ITT6I/9hHse/SEddnn8G2TZvSP5h7xPHE4yw7tYzRTUfT0i3vTUZLt5Y0dGzIyvCVEiQL5oTOwdHKkdEuo8s1QL6qn3c/fj39Kztid9DXq2+59ycq3l/RfzEjZAadPDoxs/vMUi/ENhkMxGzZyqmd5zib4IFBc8ZeM9Dw7Bo6vPkgLt0mXju3weAB+B/9iUMR3tT/6288+9yYU39/vfuZ3mY6s0Jnlap0tbmbG3YBUqZalIz8b6mGVpxaQbo+nSdaPFEmAfKl0AOcjvemeYMYzKJP3RD8WllY88p//0NEo2ASnVtzqPvzpJ+KIHrcI0RPmEjGnr1omlbqMVRnBpOBt3e9jYu1yw25gEopRvqM5PClw0RcjqjEEYrKti9+HzvjdjLFfwo2uoqZ1W3r3vZayoWofkJiQ3hl2ys0d23O7J6zsTKzKnFbyceOEvLFQhZPX8PaP3Scu+jKfZ4XGDXJlm5pa2lqE4VLt4Cbrus6bTROVgn8tSqVzAsXbjo+2X8ygxoMYs7BOWw5t6XE43McNhxD3AUy9+0vcRvi3iRBcjWTZchiyYklBNQNwNfFt0za3LXiKFa6dJr65KVo2La9cYa4hmUN/vfcKxy87w+S8eZAh8dxmDadnDORnJswgejHHiMjJESC5Vv4+eTPnEo+xWsdX8Pe0v6GY0MbDcVcZ87KiJWVNDpR2TRNY87BOdSyqVWmW3IVxVxnTl+vvmyL2UaWIavC+hXlLzQhlOlbptPIsRHf9vm2RJ9MZCUkcGTBcn59cSm/fH2JQ6fr4uaYQv+BmUz6vC/dX5uMi6cX2aGhOAy8eW9kAHO7GvSb5Euu0YbNczagmUw3HL9autrXxZdXt79a4skC+9690NnZkbJmdYmuF/cuCZKrmZXhK7mcc5mpzUv20VRB5//ezPkUT9q1ycAYdgplZYW1n99N57nauPLW5FcJafYzl7Pd+CusJu7z5+P+xhvoz8dwbvLjRI99mPRt2yRYvk5seizfHPqGHvV60Mfz5gVSztbO9Krfi7WRa8k15lbCCEVl2x67nYMXD/JkyycrfDu2q4VFtsdsr9B+Rfk5kXSCZ/9+ltp2tZnXdx4Olg7FvtaYnc2ZdUEEvvETC986zPY9tdBQBLRPYOJb/gz+cBKNhw+5thAvNTjvUwiHQgqIXOXaqhVdOl4hOtmLo4t+u+n41dLVNuY2TNs8jSvZV+7wEeeXqe7Xj7QNwZiys+/4enHvkiC5GtEb9Sw4toA2tdrQxr30+cCawUjIujjsLZJo/sgIMkMPYtOiBcrSstDz6zvUZ8a4/7LJ/0cuG2uw8uvj0LoljTZtpPbbb6O/dJHzTzxJ1EOjSdu8+Z4Plq9u3A/cdkX5KJ9RXMm5wpbzJf+4UVRNJs3EV6FfUa9GPR7weaDC+5eUi+rlzJUzPLXpKewt7Znfb36xFnBrJhMX9+1l2yc/sfClYILWWRF/2YnmjWMZ85QzY758hJaPP4ytx81btaUFbcDKzxdLb+/b9tF8wmi8nKMJ2eNI4qFDNx2/Wro6ITOBl7e9jMFkKPZjvspx+DBMGRmk/f33HV8r7l0SJFcj686sIyEzgSdaPFEm7Z3+cx2JWXXo2N0SpWlknziBTdvbB9++Lr68OfIV1vp/yxWlY+U3Z7h4MBSnsWNovGEDHu+/hzElhZhnnuXsyFGkbtx400ds94rg6GC2x25nWutpt90LtFOdTnnV98Il5eJeszFqI2GXw3i29bNY6CwqvH8zndm1lItMfWaF9y/KTkxaDFM3TUWndMzvN79YZcsj16znlxdX8NuP6Zw4W4d6rkkMHmFk4pdDCHh5Eq6tWt3yWn1sLFmHD+MwYGCR/Sidjt7TB2JllsXGBScxZKTfdE5pS1dfK1O9RspUi+KTILmaMJqM/HjsR3ydfctk71RjVhZ7/snF1SaOJiOGkHXkCBiN2LZtW+S1HTw68OqgF/nD/yvSLLJZvTCZ839vRllaUvPBB2kUFIjHxx+hZWYS+/x0zg4fQWpgIJrRWOpxVxWpual8svcT/Fz8GHffuNueq1M6Hmj8ALvidhGbHltBIxSVzWAy8PWhr2lcszEDvfMCjZzLyZBbsWk3/b37k23MZnuspFxUVRczLzJ141SyDdl83+97vBy8irzm+NLf2BBohU5pdO+ayMQP2tL/3cl4D+iLzrLoN2ypwRsBcBjQv1hjtHGvTe8HHLic487OOb8Wes6IxiN4zO8xfj758x1PGlwtU52xYyeGxMQ7ulbcuyRIriY2RW8iOjWaqS2mlslG8Ed//pM0vQtdhtRBmZuReeAAKIXNbWYOrtfXqy/P93ia5f6zybJOZt1vBiL+XAuAMjen5ogRNAxcT52ZM9FMJmJf+g9nhg4jY/eeUo+9Kph1YBbJ2cm81fmtYu1AMqLxCAD+jPizvIcm7hKrI1YTnRrN862fx0xnRtyOHSz53w4i/8xk/zdLyL50sULG0aZWG1ysXSTlooq6kn2FJzc9SVJ2EnP7zKWJU5Mirzk4fxlbd7jg5XSeBz8Yhv9jo7F2cbujflODgrBu1gxLT89iX+PZpzetGkdzLMqbs+s3FHrOS21forNHZ97b/R4HLx68ozE5DhsGRiOpgYF3dJ24d0mQXA1omsb8o/Np4NiA3p69i76gCDnJiewPtaO+4znq9+4FQNaBUKyaNsXM3r6Iq/81uuloJnZ4lCX+X2GwjyF4gw3HFv87Q6DMzHAcOoSGa9dQd9aXaNnZxL/1VqnHf7c7ePEgv53+jUd9H8XP5eZFkIXxqOFBl7pd+DPiT4yme2fG/V6VY8xh7uG5tHBtQY/6PQhftZY1S9OxMc/EyTaBPUfrsmjGfrZ/uoDUs5HlOparKRfbY7ZLykUVk56bzlN/PcW51HN83evrIkvcayYTe+YsJuRAbRrVimLgWw9jblfjjvvNjYkh++hRHAYVnWpRUKfnHsbNJo7N63NIPx990/Grpavr2NXhhS0vcCH95q3jbsXKxwdrPz9SVkvKhSgeCZKrge2x2zl9+TSP+z9eJtWSQhetI8dUg85j8spMawYDWYcOlag4yFMtnmJks+H85Ps1Zk6R/BPiyv5vltyQh6x0OhwGDMB54gRyo6PJPX++1I/hbqU36nkn5B087Dx4ttWzd3TtyMYjic+IZ9eFXeU0OnG3+DXsVxIyE5jW6jkO/fALG4PtqFXjIkMn34drt9qMfcaZRh7xHDtTl6WfnGHTOz8VuuCprPTz7ke2MZttsdvKrQ9RtrIMWTy3+TnCksP4oscXdPDocNvzNZOJnZ8vYv/xevjWO0u/GeMxsy7ZbippG/Jmge3733pXi1sxs7am7xNtMGgW/DVnC5rh5kmBq6Wrc4w5TN8y/Y62KHQcPozs48fJiSzfN5eiepAguYrTNI3vj3yPh50HgxoOKnV76dFRHA6rTZPaUbi1ycs/zg4Lw5SZWeSivcIopXi1w6v0atiTuU2+xdb9FHuO1mXHZ4tuevGzC+gGQMaOHaV+HHerBccXEJkSyRud3rjjvUl71u+Jk5WTLOCr5jL0Gcw/Mp+O7p3IXXoqb1bPLYohrw4i/smncH1zBtruffR+9VEefc2HFo1jOBvvzorvkln72gJitm4t88WwbWq1wdXGlY1RG8u0XVE+9EY9L219idCEUD7s9iHd63e/7fkmg4GtHy3kcKQXLRpG0/PViejMS159LzVoA9YtWmBZr26Jrnfy9aNbt0xiUz05+OPyQs+5Wrr6VPIpZuycUezdkhwGDwYzM5lNFsVSrCBZKTVAKRWmlIpQSr1ayHEvpdTfSqkjSqmtSql6ZT9UUZj9Cfs5fOkwk/wnlcnq971L/kZD0XH8/dfuyzoQClCsRXuFMdOZ8VG3j2hfpz1fNfwBV++THDnjxV8fLMKYm3PtPMsG3ljUqUP6jp2legx3q+jUaOYdnkc/r37cX+/+oi8owMLMgmGNhrHl3BaSspLKYYTibrDkxBLSMtPps70DR8960bJxNP3fmkB6YBDGlBT0Xl5c+uILzgwbjjofR8DLkxj/fgc6tozlUqoTq5eb+P3ln4lYvQ6T4c63yiqMmc6MPp59ZJeLKsBoMvLq9lfZEbuDNzu/ycAGt095MGZns+ndxZw47007vxgCXp6AMi95pdbcc+fIPn78tnsjF4fv2JE0cotiz0E3Lu7bW+g5V0tXb4jawA9HfyhWu+aurth17ULK2rX37M5KoviKDJKVUmbAN8BAwA94WClVMJHyM2CxpmktgHeBj8p6oKJwPxz9ARdrFx5oXPo9VJOOHeFUjCfNG8Xh0LDxtfszQ0OxqFMHi9pFbxl0K5ZmlszqOQsf58Z8Xm8hXn6nOX3Bm6C3l6FPTwPyZp3tunUjc/dutApewV/eNE3jvV3vYWVmxasdbnqfWWwjfUZi0AysjVxbhqMTd4sr2VdYHvobj5yYRlJSAwI6XCTg5UmgIHnxYmxateLyf16i/vfz0DQT56dMIWba85jl6Gn39GOMn9mPHgFJ5BgsCQ6y5ecXV3Js8a+Fbql1p/p79yfHmMO2GEm5uFuZNBPv7HqHjdEbebndyzzU5KHbnm/ISCfo3V+IuOhN5zYX6Pj8eJSudB8wp27ILyDSv1+p2lE6HT1eGIqteSobl5wlN6XwIiJXS1d/dfCrYpeudhw2HMOFC2Tu3VeqMYrqrzi/DR2ACE3TzmialgssB4YXOMcP2Jx/e0shx0U5OJZ4jJC4EMY3G18mlbh2LzuAhcqh3cTB1+7TNI2sAwewKeEs8vVqWNbg2z7f4mrrxse1ltKsYzTRyfVZ+/YqspMuAWAX0BVTRgaZ5ZhfWRnWnlnLnvg9vND2Bdxs72yV+PUa1mxIK7dWrIxYec8XY/Ut3IkAACAASURBVKmOftoyl36Hn8Auw4MBg3JoOTmvDHXapr/Qx8TgPHkSADXuv5+Ga9bg9sJ00rdvJ3LQYBK/+w6duTnNHn2IcV+MYsCgLKwtcvgnxJXFr/xV6h0xWtdqjZuNm+xycZfSNI2Z+2ayKmIVT7Z4kgnNJtz2/NyUK6x75w+ik+vTvWsibZ54pEzGkRoUhE3LlljULVmqxfWsXdzoO7Y2qbnObP+q8DSzq6Wrm7k0K3bp6n/LVEvKhbi94gTJdYHrV1LF5N93vcPAyPzbDwD2SqmiS/mIUvnh6A/YW9ozusnoUrcVt207UcletGl5BWu3Wtfu18fEYLh0CdsS5CMXxtXGlXl952Ghs+AD+2V07JtMQro7f763iYzY89h16gTm5mRUo5SLy9mXmblvJq3cWvFgkwdL3d5In5GcTTnLoUvV643Eve7kto1o65tRQ2/DA+MdaTQs782qpmkkLfgJC09P7Hv/u3uNzsoK16eeotH6ddTo1o1Ls2ZzZuhQ0rdtQ2duTqNhg3nws0cYMc6cWo6Xr+2IsWPmAtKiztzx+Mx0ZvTx6sP2WNnl4m409/Bclp5cyiO+jxS5KDj70kVWv7OWuNQ69O2Tgf9jpf8bApBz9iw5J0+WaFeLW6kTEEBbvwucivUmfGXhQa21uTWzes7C1sK2WKWrr5WpDg7GlFX8RX/i3qOKmo1SSj0IDNA0bUr+948BHTVNe+66c+oAXwMNgG3AKMBf07QrBdp6AngCwM3Nre2vvxa+Ybgo2oXcC3x44UMGOA5gcM3BRV9wG5rJxMU158jU16DBcHuwtLp2zHr3bhwXLiLxzTcwXjczkJ6eTo0ad7410FUxuTHMjp9NTfOa/Cd9JNEHvbA2S8P7fkXNxUtQOTkk/+/1Uj2uu8WSxCXsz9jPfz3+Sx3LOqVuL8eUwxsxb9DStiWPuj56x9eX9rkT5eD4KY4d8ybVMgXfzik41f53L1uLiEicP/uM1DFjyOrZ45bPn+WJE9ivWIF5wkWyW7Yk7aGHMLn+O1eh4mJJPXqFmMs+aCjqO53GoXlNtDrFn/GLyI5gdsJsJrpOpK1d6T9duteU9e+eUTOSoE8gNDOU4JRgOtp1ZJzLuNvvcpSaQtxfqaTk1uK+FlEov6ZlNh67wCBqrFnDpY8+xOTkVGbtYjCSsO4cqTmuNOmTjXaLPZvP5pxlVvwsejn0YrjT7T/QtggLw/nLWVx5fDI57dsXaxjy2lm19ezZ84Cmae3u5JriBMmdgbc1Teuf//1rAJqmFZp3rJSqAZzSNO22i/eaNm2qhYWF3clYxXVe3/46f537i+BRwThZl+7FKGL1OoKDbOl5/2X8xo264diFN2eQGhxMk927bshV27p1Kz169ChVv/vi9/HUpqfwdfHlQ+en2LQ4CRuLTPo0vUzSV3Pw2bEdc1fXUvVR2fZc2MOUjVOY2nwqz7d5vszafWfXO6w/s57ND22mhuWdvWiXxXMnys6RBcvZvseVizXOYdn/HP/r+/YNx2OmTSNj7z58tmxGZ2t72+fPlJtL8sJFJM6dCyYTLk9MxWXKFHRW/77xTYs6w+Hf/uH4GXcMmjWeTtG0GdCQOt26FZmPatJM9PmtDy3cWjCr56zSPvR7Tml+97IMWYRfDudU8ilOJp/kVNIpwq+Ek2PMW/zcz6sfn9z/Cea6W+9KkRZ1htVf7CNDb8+gB62v7YNfVs4MH4HOzg7vZT+XabsAqZHhLP/sNK52SYz48OFbVv2bsnEKSVlJrBq+6rbtaSYTEb37YNXEB89584o1BnntrNqUUnccJBcn3WIf4KOUaqCUsgTGAjd85qGUclXq2lvX14Cf7mQQ4s7EpMUQeDaQB5s8WOoA2Zibw+6/M3C2SuC+0Te/884MDcW2detSL+YoTPva7fn0/k85mniUj9OX0X2wJZdz3InOyHuRz9hZtVMucow5vLf7PTztPXmixRNl2vbIxiPJMmQRFBVUpu2KiqMZjOz8bAHb99QiyzmM4Obzmdr1mRvOyY2OJu2vv3EaMwadbdFbBuosLXF9YiqNAtdTo1dPEud8zZkhQ0nb8u+CJnvvhgS8MokJ77e/tiPGn78YWf3q4muLaG/ZvtLR16svO2J3kKHPKNkDF0VKyUlhz4U9LDq+iFe3v8qIP0fQaVknHgl8hPd2v0dwVDC2FraMaTqGDwM+ZNWwVXzW/bPbBshXwk6x8rNQsvR2DHusZpkHyDlnzpATFlbqXS1uxaGRDz16G7iQXo/983655XkBdQKIuBJBfEb8bdtTOh2OQ6RMtbi9IiMfTdMMwHNAMHAS+FXTtONKqXeVUsPyT+sBhCmlTgPuwAflNF4BLDy+EKUUE/xuvzCjOE788icpuW50HuB8076YhsuXyY2MLJNFe7fS26s3b3Z6k+2x21nguANPp2gOnamDwa1uld8K7vsj3xOdGs2bnd8sk4WV1/N39cfHyYeVp2XP5KrIkJlJ8LuLOBThRX3PcJY0+Z7R/g9Ry7bWDeclL1oM5uY4PXpni6osPDyo9+WXeC74CWVpSczTz3D+qafJPXfu2jnWLm7XdsQI6HCR2NR6bP70tyK3xbq6y8U/5/+5ozGJm2maRnxGPFvPb2Xu4blM3zyd/r/3J2B5AFM2TuGz/Z+xL34f9ezrMbX5VGb1mMWGURvYOXYnP/b/kVfav8LQRkNp7NQYpdQt+0k8dIiVX53EYLJgxFQPPLp0KfPHkhoUBEph379/mbd9VZMHh9O0ThT7j3sQd4v99APqBgB5RbaK4jhcylSL2yvWbuGapgUCgQXum3Hd7d+B38t2aKIwlzIvsSp8FcMbDcfdzr1UbeWmXGHfXivq2J/Hq/9jNx3POngQoMwW7d3Kg00eJCkria8PfU1W2140+mswZxoPxGrHH2gmU7nMYpe3yCuR/HTsJ4Y2HEonj05l3r5SilE+o/h478eEJYfR1Lns8gpF+cq+dJHAT4K4kO5Nl7bxLGx4AtsEWyY3m3zDecYrV7iyahWOQ4ZgUavWLVq7PbvOnWm4aiXJS5aS+M03nBkyFJcpj+MydSo6GxsAzG1taTl5LEb9UnYd9MZl3s+0e/rm14OrWtVqRS2bWgRHBZdJAaN7ySX9JYLOBl1LlziVfIrLOZcBUCi8HLxo4daC0U1H4+vsy30u9+Fs7VyqPuP37GbdoouY60wMf7YJTn7NyuKh3CRtwwZs27bFwr1k/1eL6/7pI7nwxkY2LU9hrF8iVs43puQ1qtmI2na12RGzo8gt8KwaN75Wptp5/PjyHLaoRHqjnpf/eblE11a96OMet+TEEgyagcf9Hy91W4cWryHL6EDnB5sWGohmHjiAsrDA2t+/1H0V5YkWT/B0y6fZZwjlYJ2txFi15rLBgYUr32J//H70Jn25j6GsXN2rtIZFDV5uX7JfzOIY0nAIljpLqcBXhaRGhvPHe5tJSK9Nv/7pmI9ozuaYzUxoNoGa1jVvOPfy8hVoWVk4T5xYqj6VpSUuj0+mYVAg9n37kvjt3LwUjL//vmEbwdZTx+FTO4o9hz04u37DLdvTKR19vSXl4k7tj9/Pu3Hv8n/b/o+lJ5ZyJecKPT178nrH11kycAm7x+1m7QNrmdl9Jo83f5wudbuUOkCO/ecf1ixMwsosm5EvtSy3ADknPJyc8AjsB5ZPqsX1LB1r0u9RLzINDmydteamTz6UUgTUDWBP/B70xqL/blwrUx1R9NZxompaHbmazec3F31iISRIrkJSclJYEbaCAd4DqO9Qv1RtZcTGcPCEK43coqjdsfCZzqwDoVg3b37Dop/yopTimVbPsHX0Vp57bBiYXeG0z2iiN/3JpOBJBPwSwLTN01h+ajnnU88X3WAl+iP8Dw5ePMh/2v2n1H/kbsfRypHenr1Zd2bdtcU74u51cd9efv/iGFkGW4Y/aofPA8OYfXA2ztbOPOZ348ytKTeX5J+XYte1K9ZNm9yixTtj4e5O3c8/w3PRInS2NsQ8+xznn3yS3KgoIC9Hs9cro3GziWfTOiNJx47csq3+3v3JNeWy9fzWMhnbvWBb7DbMMGPFkBXsGbeHX4f+yjtd3uHh+x6mVa1Wd1ymvihRGzax9pcsalimMvL/Ot1QIKqspW4IBqVw6Fe6AiLF5d6xIx1aXiTiojenVty8QC+gbgAZ+oxibZMpZaqrN71Rz/wj82nu2rxE10uQXIUsO7mMTEMmjzcv/Szy/sUbMWnmdHq08Nw0U3Y2WcePl3uqRUFmOjNaNehEnx46Uh286ZnSl1k9ZjG44WDCL4fzwZ4PGLRqEINWDuL93e+z5dyWu2o2KzErkS/3f0mH2h0Y3qj8a+qMbDKS1NxU/o7+u9z7EiUXFRTMqp8SMVcGRj7bkDoBAey+sDtv95PmU7CzsLvh/NS16zBeSsR50qQyH4tdxw40WLmSWq/+l6wDoZwZOoyLX87ClJmJuV0NBr0QgLkul8B5p25ZfKSlW0tq2daSwiJ3YHfcbhpYNcDPxQ8Ls8J3Zigr4avWEvSnhrNNIg+83gu7+p7l1pemaaRu2IBt+/aYu5W8UNKdaj11LHUdzrFtmw1XTp284Vgnj06YK/Ni5SWbu7piF9CVlHXrpEx1NbQmcg1xGXE81fKpEl0vQXIVkaHPYOnJpfSo34MmTqWbWbpy6iTHo+vj5x1Dzab3FXpO9tGjoNdj06Zig+SrmowahosxmjDb++ms82FG5xkEjQxi3QPreK3DazR0bMiayDU8v+V5An4JYNKGSfxw9AeOJx3HpFXeC90nez8hx5jDm53evO1CmrLSoXYH6taoKykXd7FjS34lcLUOJ+tkRr3WGedm/miaxpzQObjbujO66Y2FHDRNI3nhQqyaNMGua9kvsAJQFha4TJyYl4IxcABJ8+ZxumsAkYMGk/zOe7TX7SU915F1b60hdfNmssNOY0xJuZaeoVM6+nn1Y2fsTtJzS1/yurq7kn2FU8mnaGpd/msHTiz7g03B1rjbX2DEW4OxcS/d2pWi5ISHkxsZiUMFpFpcT2duTp9ne2CmDGycdwBjdva1Y3YWdrR2b82O2MIX9xXkOGyYlKmuhvQmPfOPzsffxZ9udbuVqI1iLdwTle/307+TmpvKlOZTSt3W7p93Ya7caT/h1i9qmQdCAbBt3brU/ZWE0uno0suOtVtrsPvr1fT6ZBpK5S1s8XLwYpzvOHKNuRy6eIidcTvZFbeL2aGzmR2a9/F1J49OdK3blS51uuBqUzF7LW+P2c6GqA082+pZvB29K6RPndIx0mckcw7O4Xzq+VKn4YiyoxmM7J6zhNAwT7ycoun32kgsHRwB2HJ+C0cSj/B257exMrsxnSljx05ywsPx+Oijcn+jZVGrFnU//RSnMWNIDQ7GEJ+APiEe68hImqp4Tt73GFu+2EKTiLx12crWFgt3d8xruzPY0RJ9ahahKR/R2r8vFrVrY+7ujlnNmhXyBrEq2Ru/Fw2NpjblGyQf/vEXduxzx7NmNAPeeBCLGvbl2h/k72qh02FfQakW16vh5U2vgScIWl+HPd8up8tLE68dC6gbwJcHviQ+I57adrVv2459797XylTbdepYzqMWFWVt5Fpi02N5vePrJX5NkiC5Csgx5rDo+CI61u5IS7eWpWorfvduIi95094/BluPW1d/yww9gJVPY8xq1rzlOeWt/oMPUPfXjzlFR1odP4ZzsxsXEFqaWdLBowMdPDrwYtsXScxKZFfcLkLiQgiJCyHwbN6GLE2dmtLJoxPN3Zrj7+pPHbs6Zf5HPFOfyfu736ehY8MyWVR5J4Y3Gs43h75hVcSqMi1YIkrOmJ3N5o+XcTreG7/6UXR/5bFrxQ+MJiNzDs7By8GL4Y1vTslJXrAAczc3HAdX3M4Rtm3bYltgq8fGej3mHy/kKD2p16kW3nXtMcTHo09IwHDhAlZno3ggQUMXspIY/v0kQ1lb5wfStbGo7Y5lw0Y4T5xQIWsb7la7L+zGzsIOT8vySXvQTCb2z/2ZvUfr0sgtir6vP4xZ/u4l5UnTNNKCNmDbsQPmLi5FX1AOGg4dRLOjP3HwtDf1/958bf/nq0FySFwII31G3rYNnbU19v3755WpfvONazu/iKpLb9Lz/ZHvaebSrMSzyCBBcpWwOmI1l7Iu8WG3D0vVjmYyEfJHGDZmDrQaf+t8Wc1oJOvgIRwGVe72TsrCAn/3iyQYctm+eB/DPvK77XZwrjauDG00lKGNhmLSTIQlh7EzbichcSEsO7UM/Ym8lc7O1s74ufjh7+qPv4s/zVyblXq2ee7hucRlxLFowKJyzzcsyN3OnYC6AayOWM0zrZ65bUEB8S9N0zCYDGX+fOnT01j/7h/EpnrTsWUsbZ+ceMP/26CoICKuRDDz/pk3PVfZYWFkhITg9uKLKEvLMh3XnVIWFgT8dyJX3vyZvTFNqdPTDo9JE28459NdHxEc+iu/dvgWi6RUDAnx6OMT0MdfwBCfQMa+fXkLonQK16lTK+eB3AX2XNhDe/f2mCmzcml/9+zFhIZ5cl+dKHq++tgtq9GVtZywMHKjosold/5OdH3+IeL+t46/Vlox1j8eG/fa+NT0oZZtLXbE7igySIa8lIuUlStJ27wZx8GDK2DUojyti1xHbHosr3V4rVSTYtXqr6mmaZxLO4eXg1dlD6XMGEwGfjr2Ey1cW9Cxduk+BorasIkLafXp3uXStY99C5MTEYEpLa3CF+0VxqVHVxrMX0e4+WjOBgbTcMjAYl2nUzp8XXzxdfFlSvMp5BpzCb8czrHEYxxLOsaxxGOExIVcy1+ubVf7WsDs7+qPn4sfDpYOxerrZNJJlpxYwiifUbRxr5yf2UifkbwQ8wI7Y3fSvX73ShlDVfP1oa9ZcmIJz7Z6lkd8HymzNxfbvvyN2FRP+vRKpenoG3et0Jv0fHPwG+5zvo9+3jd/PJ380wKUjQ1OY0bfdKwy6Cwt6Pd/g/n9nc0ELcvkobpnsPdueO14v0YDWXJ6GSHOiQxtP7TQNs5Nnkzy4sU4jx9/T84mx6XHcS7tHON8x0FC2befGhmeFyDXjaLXaxNQ5uUTiBfad9AGMDPDvm+fCuuzMBY17Ok36T5+++4im2cHMej9CSidjm51uxEcFYzepMdCd/s3DrYd2mPu4UHKmjUSJFdxV2eR/Vz8uL/e/aVqq1ot3Psz4k9GrB7BqvDb12yvSoLOBhGbHsuU5lNK9W7IlKtnV3AyNS0v4jt2xG3PzTxwAACbNuVXaa+47AICqBu3HUftAjuC0zFklGyRkKWZJc1cmzHmvjG81/U9Vg1fxa6Hd7FwwEJebvcyrd1aE3Y5jNmhs5m6cSpdf+nK0FVD+e+2/7LkxBIOXjxIliHrpnaNJiPv7HqHmlY1ebHti6V9uCV2f737cbF24Y/wPyptDFXJ+bTzLDi2AFtzWz7b/xnj1o/jeNLxUrd7asVKTsV6084vjqajb/49WxW+ipj0GKa1noZO3fjyq0+4SEpgIDVHjarUNKeCrF3cGPRkMwwmCwJnh9xQurqFWwtq29VmY9TGW17vMnUqxkuJpKxeXRHDvevsubAHoNSTHLdyMnAXYKLD+J4VGiDn7WoRhF3Hjpg7l99Wl8Xl2qo1XTokE5XsxV/vLuRK2CkC6gaQrk/n8MXDRV4vZaqrj3WR64hJj+Hplk+XOrWyWgXJvTx70c69HTNCZjBz30yMJmNlD6lUTJqJH4/+SOOajUs9O3jq99VcznGnUx97zCxvP5uTdSAUc3d3LOreOme5oljWq4e1lyd+2XtI07twcGHZvQGytbClrXtbJjSbwKfdPyVwZCA7xu5gXt95PN/6eRo6NmR/wn4+3fcp44PG03lZZ0atGcVbIW/xa9ivnEg6wdKTSzmedJz/dvgvjla3np0vbxY6C4Y3Hs62mG1cyrxUaeOoKmYdmIW5zpxfh/7K590/JzErkXHrx/HJ3k9KvKVg0rEj/LPVhroO52n/zLibjmcbsvnu8He0rtW60By5y0uXgtGI84S7r/KXczN/+g23IDGr9g2lq3VKR1+vvuyM20lablqh19p26oR1s2Yk/fgjmrFqvyaXxK4Lu3C1caVRzUZl3rbJYOBUmC31a57H3qtBmbd/O9knTqCPPlchBUSKq8XEMbRuco7I+Dos+/I8OT9F4ZZZr/i7XFwtU71+fTmPVJQXg8nA/KPz8XX2pXu90n+qWq2CZEcrR+b2mcu4+8ax+MRint387C1fuKuCLee3EJkSyZTmU26adboT+vQ09u7U4W4XU6x0hczQUGzbtrlrVqjbdeuG7eHtNHI9S+gxV9KizpRbX45WjnSp04WpLaYyu9ds/n7obzY/tJmven7F480fx83Gjb/P/c17u99jzLoxfLb/M7rW7coA78r/Q/FA4wcwakbWRMqm+Ldz8OJBNkZvZJL/JGrZ1qKfdz9Wj1jNQ00e4ueTPzP8z+FsPndn1Zn0aakEzz+OhS6bvtN7oTO/OXVj+anlXMq6xPOtn7/pd8uUkcHlFSuw79MHy/p35w4l3gP60bl1PBEXvTkw7+dr9/f37o/epL9lYRGlFC5Tp6CPPkfapr8qaLR3B03T2HNhDx09OpbL62nsP9tINzjj27HiF82lbdgA5ubY96ncVIvrKZ2OLi9NZPxbLWjdJJbYix6MOvwKKb+bE79nd5HXWzVujHWzZlJYpApbf2Y959POl8ksMlSzIBnAXGfOax1fY0bnGeyJ28MjgY9wLvVcZQ/rjmmaxg9HfqBejXr09+5fqraOLFlNhrEmXR5oeNuFbwD6uDgMFy7cFakWV9UI6IqWnU2rtnl/CEJ+2lqh/bvZutHTsyfTWk/ju77fsX3MdgJHBjLz/pk81fIp3u3y7l3xhsLb0Zu27m1ZGb7yhnLD4l8mzcTMfTOpZVOLCX4Trt1vb2nPG53eYMmgJThaOTJ9y3Smb55OfEZ8kW1qJhP/fPk7l3Pc6PtgTezq3hzkpuWm8cOxH+hapyvtare76fiVlaswpabiXGBh3N2msNLVLVxb4GHncdvCIvZ9+2Lh5UnSDz/cU/83w6+Ek5ydTCePwqualtbJbVFY6dJp0L9iA1VN00gN2oBd586YOzlVaN/FYetRh84vTWT8+x0waxxKjTQv/liQyer/LiRmy9bbFg1xHD6M7BMnpEx1FWQwGZh3ZB6+zr70qN+jTNqsdkHyVQ81eYjv+31PcnYyD69/+FpeWFWx+8JujiUdY3LzyaVaUJSVkEDokZp4O0dTJyCgyPOv7Y98Fyzau8q2fXuUpSUqLIw2zRKJuOhNzNatlTYepRT17eszoMEAnm31LLVsa1XaWAoa5TOKc2nn2J+wv7KHclfacHYDRxOP8nyb5wstA9zSrSXLhyznxbYvEhIXwvA/h/PzyZ9vm7p1asUqwuK8ae8fR/2ePQs9Z/GJxaTkpDCtzbSbjmlGI8mLFmHTqlWl7UteXIWVrlZK0derLyFxIaTmphZ+nZkZLpMfJ/vYMTL3VK3X4tLYHZc3e1keQXJ20iXOJNShiVci5rZlW9K6yL6PHUcfE4PDgMr/BO12rF3c6Dl5KEvbvI1DsyMkpzuyeoWJP15ZSlRQcKHBspSprroCzwZyPu08T7Z8sswmrqptkAzQvnZ7fhn8C242bjy56UmWn1pe2UMqth+O/oCbjVupSxsfWByIXrOi87ibZ68Kkxl6AJ2dHVZNSlfVryzpbG2xbdeW9B3baT3pAewtktj+ZxymXH1lD+2u08erD/YW9lKBrxDZhmxmhc7C19mXoY0K34kB8vK7J/tPZtXwVbR2b83Hez/mkcBHOJl08qZzk44cZts2W+o5nqPdUzfnIQMkZyez+Phi+nr1pZlLs5uOp236C31MDM6TK3cbreIqrHR1USkXAI4jhmPm6krS9/MrbrCVbE/8HrwdvIssZlES4es2Y8QS376l2zu/JFI3BIGFBfZ9eld433eqiVMTnGvU5FDz8zw2sz/du1wiM8eG9astWPHScsJXrcFkMFw739zFRcpUV0EGk4F5h+dxn/N99Krfq8zardZBMkB9+/osHbSUrnW78sGeD3h/9/voTXd3cHXo4iH2xu9lQrMJWJqVfK/U1MhwjkbW5b5653H2b16sa7IOhGLTujXKrOJWSReHXUA3ciMi0VLTCOhnR3J2bY79LIFgQTbmNgxqOIhN0ZtuOat3r1p6cikXMi7wSvtXipXjX8++HnN7z2Xm/TOJz4hn7PqxzNw3k0x9JgC5qSkE/3gSS102fV/oV2geMsCPR38k25jNc62eK/R48oIFWHh6Yt/77g84rqrh5c2gR2uTrnck+LNAmjncV2TKhc7KCufx48kICSHreOl3Ernb6U169sfvp6NHOe1qcUiPq80F3Co4Ne5qARG7Lp0xc6y8xcrFpZSia92u7LqwC6wt8R8/hke+GEbvnimYNB0bg2vwy0u/c/KXPzDm5gBSproqCjobxLm0czzV4qkyTX+s9kEyQA3LGnzV8ysmNZvEirAVPL3paVJyUip7WLf0w9EfqGlVk4eaPFSqdnYv2Y5OGekwoXh/fI0pKeSEh99VqRZX2QV0BSB9xw4aDB5APcdz7N1nS1ZCOWw8WsWN9BlJjjGHwDOBlT2Uu0ZiViLzj8ynZ/2etK/dvtjXKaUY0GAAax5YwyifUSw+sZgRq0ew9dwW/vnyD67kuND3IadbVq+Mz4hn+anlDGs0jIY1G950PDP0IFmHD+M8fvxd98a0KLU7d6ZHjwxiUjwJmf0z/bz63TblAsBp7Bh0dnYk//hjBY60chxLPEamIbNcUi0SDx3kUlYdfFtU/P+Z7CNH0MfF4TCweHvW3w261u1KWm4aRy4dAcDM0or7xjzA2M8fpP/ATMzNDGz+x4mlL63lyIIV2HTudK1Mtbj7Xc1FburUlJ6ehae8ldQ9ESQDmOnMeKndS3wQ8AGhF0N5eP3DIHg09gAAIABJREFUnLlSfrsklFRYchj/xPzDI76PFJozWVyXQg8QHu9NiyYJ1KhfvOIqWYcOgaZh0/ruC5KtfHwwd3cnY8fOvE3iH2uL3mTF7h9lq56C/Fz88HX2lZSL63x76Ftyjbm81PalEl3vYOnAjM4zWDJwCXYWdnyzfBmnL3jj1+w89Xr0uOV13x3+DhMmnm75dKHHkxcsQOfoSM2RD5RoXJXNd+xIWjaK5sgZL1ocd8JgMrDl3JZbnm/m4IDTw2NJ3RBM7rmqt6D6TuyO241C3dGbsuI6ufEQOvQ0GVJ2HysXV2rQBpSFBfa9Kr7vkupcpzNmyuymreB05uY0Hj6E0Z+PY8hII/bWmWzf48bSN7dxoc0wLm/aiinr5v3xxd0l6GwQ0anRPNXyqVLtBFaYahckX59bVJhhjYbxU/+fyNBn8EjgI2yP2V5BIyueH4/+iK35/7N33lFRnVsffs7MUGboHekWQAR7p1hib7HFWKImGmPqvabXm/7dVGPKTbUbe1RiL9gFUUSwi4KF3nuZgWFmzvcH0WhEpQxD0WctVsKcc/a7cdo++917/xRMbT+1XnZObDyLiaSUbk89WuNrlDGxIJMh71Sz0gxDIggCZsFBlEVGImo02AZ0pGPbNC4me5AT87BJ7Z9M8J5AXH4cF/MuNrYrjU5CQQKbEjYxpf0UvKy86mWri2MXfvF4jwHXJ5JmdZl3bBex9tLaahv7koqT2HxlM4/7PI6L+Z2ZZnVyMiX79mEzeTISAzde6ZPAedNxt0rm6nF3Asq73LPkAsDmr6x53tKlBvKwcTiecZwOdh30Pj9dq1IRn2hLG8c0TB0M2zQs6nQU79mDWXAwUsuaKZI2BSyNLens0Pmu85IFiQTPoUMY/9V0xk2TYW9RyAVpMBGd3ibi40WU52Qb2OOH1BStTsvCswvxsfHhEQ/937i1qCD52rad/P7ylvu+oLs4dmHdqHW4Wbjx0oGXWHFhRZMYS5RUnMSepD1Mbj+5Xh+sWdFRJOZ70qVjESY2NVdCUsbGYNqhQ5P9wjYPCUFXUoLq7DkAes4Zi1xaypG1Fx82WPyDkW1GYiI1eZhNBr45+Q3mRuY81/m5ettSFxWyf9kVFBIls5/pTUeHjnwW9Rkzd83kcv7l28796dRPGEuNeabTM9Xayl/xO8hk2Ex/ot5+NSY3pKstjAsIOjeRs9fj7lnOZuToiNW4sRSF/tlilc2UlUrO5pxtkFKL62H7KddZ0D7YQ++274fqzBk0GRlYNiEBkZoS7BpMXH4cuaq7v+YEiQTXfv149ItZTJylwLbsKucKA1jxwUmOfrMMiptumeaDyq7EXSQWJzZIFhlaWJBs5elCmcaGuM33H1jfyrwVK4avYJDHIOafnM8HkR+g1qoN4OXdWXZ+GTJBxswO9VPcOhF6EVNJCZ2m3b2D/5/o1GrKz55D0a3plVrcwKxvX5BIKIuoyv6b2NjSJ0hLZqkb8Zse1o7diqWxJUM8h7Dz2s5q5bQfFCLSIjiafpTnOj9X74yeqNNx6NtQitR2DJ1sT7t23fhtyG98EfIFqaWpTN4+mQUnF6CsVHI5/zK7Encx3W869nL7O2xpCwspDA3FavRojBybzgjBunJDulqmNWLwpafYH3/vbLLt7NmIlZXkr1xlIA8Ny8msk2hETYM07V06noOZrAD3Rwbo3fb9KNm9G8HYGPNmVGpxg2DXqhGoR9OO1uh859596N9LpFfMZ3jZpXEmwY3EPZWosu4/O/0hhkGr0/Lbmd9oZ92OQR4N0/jcooJku05daGWewvmzMkTN/eVPFUYK5vefz3Odn2Pzlc3MCZtDnirPAJ7eSWZZJluubmG89/hqv1RrbOf4cZILPOnSqQRjK+saX1d+/gKiWo28CTbt3UBqZYW8UydKI/7+kPN7fByOijQiD+lQFxU2ondNjwneEyipLGFf0oOlcnYDjU7D/Oj5eFh4MMV3Sr3tXVy7iYRML3p1ysS1Xz+gqgxoVJtRbB23lXHtxrHswjImbJ3AR5EfYWFswZP+T1Zrq2DdekSVCtunnqq3X00FW/8Ahj0qw77Mlbj1Gffc3TFp3RqLIUMoWLsWbWmpAb00DFEZURhLjOnqqN+516UpSSQXuNHeu/Su01QaClGno3j3Hsz6hSA1Nzfo2vqgvW177OX2NZaohiphEfOSNHp6GzPxaUvKteaELdh937LOpoBWp2Xb1W0kFSc1tisNxu7E3SQWJ/J85+cbJIsMLSxIBgjoY01xpT0pNRSbkAgSXuzyIl/3+5qLeReZumPqHdumhuBGycesgPrNSo3eHIeppISOtcgiA6hiYwCadCYZwCw4mPJz59AUFAAgyKSETPZGqbUmZsnmRvauadHDqQceFh5sStjU2K40CqEJoVwtusqr3V/FSGpUL1u5p08RHm6Bu3US3efeOQ/ZysSKjwI/Yvnw5ZhITaqEgAJmV5u91qnV5K9ehVlQEKa+TWceuT5oPWIYWp+TWOd2JPLX3+95rt0zc9AVF1O4/g8DeWc4jmccp6tTV0xlpnq1e3l7OCJS2o9omLFy90J16hSarCwshzefqRa3IggCgS6BRKZHotHVLMg1adv2pky1U8/e+PhcIbXIg+hf1jSwt/UjV5XLs3uf5d2Id5mwZQKLzy1u8qNva4tWp+W3s1VZ5MGeDac42eKC5LajhiKXFHP+YO3unoa3Hs6K4SvQ6rTM2DWD/cn7G8jDO8kvz2dTwiZGtRmFq7lrne1kHjtGcqEnXTuXYmxZu61lZUwsxl5eyOzs6ry+ITAPCQZRpCwy8uZjzr370N41kdPxLhRevtSI3jUtBEFgvPd4YrJiSCxKbGx3DEqpupSfTv9Ed6fu9W7mUBcVsntpPKZSJYPnDUeQ3X3sVnen7mwYs4GfBv3EU/5PVXtO8fYdaHNysZ3VPMRDasug6aNIsD/J6bNuXN9597ILeceOKHr3Jn/FCnTqxi110yd5qjziC+L1Xo8s6nTExRnhYpGCtU97vdquCcW7diOYmGB+j2kuTZ0Q1xCK1cWczz1f42tulakWunSgvWsiJy+4kBTWNHfoojKieGzrY5zJOcPbvd4mxC2E72O/Z9qOaVzIaznzycOSwrhedL3BapFv0OKCZKlcjp93IYl57pQkXa/Vtf72/qwdvZZ21u14+eDLLDq7yCANfasurqJcU87TAU/Xy86JzZeRS4prnUUWdTpUsbFNutTiBqYBAUitrCgLv33LrM/soUiFSiKWH2skz5omY9uORSpI+fPKn43tikFZfG4x+eX5vNHzjXoNlhd1Og4tCKVYbcvQyQ4oWrW67zXGUmP6ufWrVk5eFEXyly3DxMcHs6DAOvvVlPF3CCC+42GUijT2btOQd/7sXc+1e+YZNNnZFG/bZkAPG5YTmScA/UtRZ0RGUqR2wK+H4adKiFotJXv2YN6vH1JzM4Ovry/6uvRFIkhqVXJxq0y1IJHQ75VJ2Jlms3ezkpLEpjNGVqvT8svpX3gm7BksTSxZM2oNT/g9wXcDv+PbAd+Sq8pl2o5pLDi5oNn3qWh1Wn498yvtrNsxxHNIg67V4oJkAP+xwYgIXNx8pNbXOiocWTpsKaPajOKHUz/wVvhblGvKG8DLKkrUJay7tI7BnoOrFRuoKekREaQUedC1qxIji9p9iKqvXUNbVITCwMpNdUGQSjELCqT0aMRtNzBmrm707FZEUoEnibvDGtHDpoWDwoF+bv3YcmVLi9tuuxtppWmsvLiSMW3GVCsDXRsurN5IQpYXvTtn4dIvpN6+lUUcpSIhAdtZs/SqCtWUEASBwe0GsdlvKdJbpKurwywoEJMOfuQtXtJiJtREZURhYWyBn62fXu3GHYzHSFDRdqThlRlVsbFocnKa5VSLW7EysaKTfadaBck3Zaq3bQOdDiNzC4Y/3w2dKGX3D0fRljdcfFBTclW5PLvvWX4+8zOj2oxi3ah1eNt43zw+2HMwW8ZtYXy78Sy7sIyJWycSlRHViB7Xj71Je7lWdI1nOz3boFlkaKFBsmWbdnjZpnAh3rJOL2BTmSmfB3/OvG7z2HV9F7N2zyJbWbM5iZW6SorVxWSVZZFYlEhcXhyxWbEcTTvKvqR9bLu6jT8u/8GKCyv45cwvvBfxHiWVJTzdsZ5Z5K1XkEuLCJhauywy/DUfGZqk0l51mAUFo83JpeLy7bXjnWZMwMYkm4idBWgfDoC/yUTvieSV53EktfY3jc2R72O/RyJI+He3f9fLTk5sDBFHLfGwSaLbM/WbW36D/GXLkDk4YDVqpF7sNVWGeQ2j2Dgf8+GZlFZas//bHdUGwYIgYPf006ivX6dkv+FK3BoKURQ5ln6MXs69kEr0p4anLirkSroz3m5ZtU6C6IPiXbsQTE2bdanFDYJdg7mQd6FWTfrWY8eiyczEKD6+6nff9gwaAdlKV45+v7ahXK0R0ZnRTNo2idPZp/k48GM+C/6sWiEyS2NLPgr8iCVDlyAgMCdsDh8c/aBJqw9Xh07U8euZX2lr1bbBs8gAhm2PNSD+/dxI3Czl2q69eI+vfeAoCAJzOs6hjVUb3g5/m6nbp9LHpQ8qjQqlRomqUoVKc+dPbbN1xhJjRrUZVa+MV/qRcNKKPQjqkYWRuUWtr1fFxiC1s8PIs2bKfI2NWXDVKJ+yiAhM2/9dmyc1NSV4jAPbNgqcXrGJ7s9NbywXmxRBrkE4yB0ITQhtsDE5TYUzOWfYdX0Xz3Z6Fmcz5zrbURcWsGf5FUxlMga/POKedcg1pfzyZcoiI3F45RUEY+N622vKdLDtgJu5GwdNz/B8LxsiTnhyevFaus69cya05bBh5Hz3PXmLF2MxeHCzzrCnlqSSXpbOUwFP6dXulR370Ii2+D2i3+x0TRC1Wor3hGE+YECTnaFfG4Ldgvnx9I9Epkcypm3NYgPzRx5BYm6OPOoEPFc1b73to6PofHkZZ6560ip0K94Tai7cpQ+0Oi2Lzy3m5zM/42Hhwa+Df8XX1ve+1/Vq1YtNj27ilzO/sOLCCo6kHuHd3u8yxHNIs3jvhSWFcbXoKl/1+0qvN6J3o8UGyR6DB2K5I5TzkSq866H4+ojHI6wcsZL3j75PdGY0cpkchUyB3EiOg8IBuUx+zx+FTFH1/0b/+F0mx1RmWm3dYm05sf0aCqllnbLIUJVJVnTr1izeIABGTo6Y+PhQGnEUuzlzbjvmMXgQrQ8u5eQZZ3xTkmosyd2SkUlkjGs3jiXnl5BVltXY7jQYoijydfTX2MvtmR0wu+52dDoOLviTYrU746bLkTvVPdi+lfxlyxHkcmwmP64Xe00ZQRAY6jWU3y/8zudTPqPt9c0ci3XHOTKSVoG312ILMhl2s2eR+fEnKKOjMevVq5G8rj/HM48D+q9HjotVYmOiwam34V87yuiTaPPysBzevEstbuBn64etqS0RaRE1DpIlpqZYjh6FduMm1CkpGLu7A9B33jSy3l3Pgb322Pmex9Y/oCFdv0meKo93wt/hWMYxRrYeyQd9P8DMqOa14qYyU17p/grDvYbzYeSHvHb4NQa6D+S93u/hZObUgJ7XD52o47czv9HGqg1DPYcaZM0WGyRLZDL8A9QcO+VO/vlz2AbUXWrZ19aXP8Y0zTFFaYcPk1bsTnCvLGRmtZ9dWZmVRWVqarNT/TILCSb/95XoysqQmN3+4RA0K5i1869xbMl+hnxU92CpJTG+3XgWnVvElqtb8KFljR27wZ6kPZzJOcPHgR9Xu91YU86v3MCVbC/6dk3HJVg/uxGVWdkU7diBzeOPI7Wu+fzy5swwr2EsPb+Ug2mHGPXqOHI+2EfYmmIeb5uF3On2L2Kr8ePJ+fEn8hYvbt5BcvpxnBROeFl66c1mQdxFMkvd6NstA0Fi+ArJ4t27EORyzPv3M/jaDYFEkBDkEkR4WjhanbbG2Uj751+gIPRPsr9ZgNt33wIgNTZh2Lz+/PH5KXYvPMek//No8HKY6Mxo3jryFkUVRXzY90Mmek+sc4LLz86PNaPWsPLiSn46/RPjtozjle6v8JjPYw1e61sX9ibt5UrhFb4M+dIgWWRooTXJN/AbNxgJlZzfEd3YrjQIok7Hie2JmEkL8Z9ctyyyKvZGPXLTb9q7FfPgYKispOzEiTuOWbXzoatfFvGZXqRH1LxBozaIGi2Fl+JI2X8AjVLZIGvoE3dLd3o79yY0IRSdqL8GKZ2oI0+Vx+X8y8RmxTZac2CFtoLvYr7Dx8aHsW3H1tlOTsxJIo5Z42mTRNen9VOHDFCwejVotdg+WT81zeaEn60f7hbu7Encg4mNLcOfaoNSY86+73beIfYkMTXFdsZ0yo6EU36peY5x1Ik6TmSeoHer3nrdlbu06wQCWnxH9debzZoiajSUhO3FYuAAJHK5wddvKIJdgymsKKzVSDQjJ0fKhg6hZPdulLGnbj5u7u7JkElWFFQ4cOibjQ3WgKoTdSw8u5A5YXMwMzJjzag1PObzWL1fazKJjFkBswh9NBR/O38+Pf4ps/fM5npR7aaDNTQ3apFbW7VmmNcwg63bYjPJAHInZ9o57+RyoiN9iotqPTu4qZN6+DDpJe6E9M6pUxYZqkotBLn8ttre5oC8e3cEuZyy8AgsBg6843i32eO59M5ewjeVM6lPn3qpU6mLi8i/cJHchBRyU0vJzZORp7RHI1YJBXjsW8/Ij6chNTap8xqGYLz3eN4Of5sERQKPcO/ZweWacnJUOeSp8shR5ZCryiVHmUNeed7f/6/KI688D634d8DTxaELX/f/ul71wHVhTdwa0krTWDhkYZ0zDBUF+exefg2FTMqgl0fqpQ4ZQFdWRsG6dVgMHoyxh4debDYHBEFgqOdQll9YTkF5AQ7dexByYT2HIz2JXbz2jp4Bm6lTyVu4iLzFS3Cd/3UjeV13LudfprCiUK+lFjp1JZeuWuFpl4KZa8M3Kf0TZXQ02vx8LFpIqcUNAl0Cb46C6+TQqcbXlQ0ZgvWJaLK+/AKvdetuBqjuAwfS++JKos550WrVRgJm6rcsJr88n3fC3yEyPZIRrUfwYd8Pa1VeURM8LD1YNHQRm69s5uuTX/PY1sd4rvNzPBXwFEaS+okx6YN9Sfu4UniFL0K+MFgWGVp4kAwQMLQ98b+Xk7A1DP/pkxrbHb0h6nRE70jBTGZGhzpmkQGUsTHIO3dGMGr8N0FtkBgbY9arF6VHq88UG1lYEjjIiLA9NlxcG0rAjPt/aIk6HaUpSeReiCfveja5mZXkFplRpLajatPFHhOJHDuzfDq0zsLe3RJVcTnHTnly4PPVDH7vSb0FVg3BYM/BWEZZcqjkEB3TOpJbXhXs5qpybwuGc1W5lFbeKRUsESTYmtriIHfATm53U+bVTm6Hg9yBwopCvjn5DZO2TeKLkC8Icg0yyN+VX57PwrML6e/Wn74ufetko6oOeTMlle6Mn6G4oxygPhSG/omuuBjbWU/pzWZzYUTrESw5v4TdibuZ2n4q/tMnkXZlOVGn3Wl1JPy2sXpSKyusJ08m//ffcXj5ZYzd6i6s1Bgcz6iqR+7dSn9qeMn7D6DUWuEXqF/lvppStHUbEoUC834to9TiBtam1gTYBxCRFsELXV6o+YUmJji8/DIZ775L8c6dWI0adfNQ92enkfH+74RHuuDodwLHnvopGzqZeZK3jrxFYUUhH/T9gMe86589vhs3BKiCXYP5/MTn/HDqB3Yn7uaTwE/wt6/fOM36oBN1/Hr2V7wsvRjuZdgbthYfJDv36YPdH+s4HyPSYZquUWq6GoLUg4fIKHWjX98cZHXsONaWllFx6TL2f3XrNjfMQkIoPXwYdXJytRm6dmNHcz5yJVHHrGk3PBtTB8ebx7QqFflxF8mNTyI3uYi8XAm5pTZU6MwBI8AVS6NcHKxL8XVWY+/lgF0Hbyw8W9/xGtL9VJVBUHz/O0GvNV0VNROpCWPajmF13Gqe3ffszccVMgX2cnvs5fb42PgQ6BKIg8IBO1M7HBQON4/ZmNjc9w6+p3NPXjv8Gs/ve55nOj3DC51faPC7/p9P/4xKo+LVHq/W2ca5FRu4muNF324ZtArSX32+qNWS//vvyLt0QdG1q97sNhd8bX3xs/UjNCGUqe2nIkgkDHx1PDkfhLFnvRGTvTNuE2ixfepJ8letIn/ZMpzf/08jel57ojKiaGvVFkeF4/1PriFxR9OQS23xHGJ4KejKzEyKtm/HZtJjSEwbJ0hvSIJdg/nl9C/kl+dja2pb4+usxo0lf+VKcr5ZgMXgwUhMqnYQBZmUIa+OYv3HR9i9opjHvbxu+86pLTpRx9LzS/nfqf/hbuHOT4N/or2tYXZ8HRQOLBiwgP3J+/ns+GdM2zmNGX4zeKHLC/Xq96gr+5P3k1CQwOchnxs0iwwPQJAsSCQEdJdx+Kg9WVFROPetW6apKSHqdJzYmYq5TEGHx+s+dkZ15jTodM1Caa86zIODyAJKIyKwnTbtjuOCRELIE53549ccjvy4HQdXE3IzKsgrMKWg3B4dMsAamSDHTpFLW7dc7F1V2Hu7Y+ffAWOrmjVYdX/+CZRfLed0gheKhaurHXPVVHipy0vIc+UEdw/GQV4VAOvzQ6+1VWtWj1zNZ1GfsfDsQk5nn+bLfl9iL7fX2xq3cq3wGhvjNzLJZxJtrOomxpMdfYKjUdZ42ibRdbZ+a4ZL9u2nMiUFx9df16vd5sQE7wn8N+q/XMy7SAe7Dhhb2zB8tg8bf81i33d7GP3f6TfLoYycnLAaM4bCTZuwf/EFZLY1D14aE7VWTUxWDBO8J+jNpjIjg8RcNzp5pzVKKVf+suWg02E7u34z/JsqwS7B/Hz6Z46lH2NUm1H3v+AvBIkEp7feJPmpWRSsXHnbhCVTB0eGz3AndFkR+77dwahPZtZpdzG/PJ93w9/laPrRqgkUfT/E3LhuJZX1YZDHIHo59+LbmG9ZcXEF+5L38UHfDwh0MZxa6I1aZC9LL0Z4Gf5msWWkVe+Dz9hhGAkqzofFNbYreiFl/wEyy9zo3kuHtB7NFKqYWJBIkHfuokfvDIeRpydG7u53SFTfin2XLgR4pZCQ5UVkbCvScqwwl1fQtX0GQ4eVMW2eM8/8bwiPfTODge/OpuOTk2kVGFjjABmqPjSDX59JO8dEImNbcWl905WANjc2p7OiM92duuNh6dEgWQG5TM6nQZ/ySeAnnM05y6Rtk4jObJjm2W9ivkEhU/B8l+frdH1Ffi57fk9EISth8Cuj9F4uk79sGUbu7lgMbtnzqe/FyDYjMZGaEJoQevMx+y5d6RdSSkqRBzG/3S7GYPf0bMSKCgpWrTK0q3XmTM4ZyrXleq1Hjt9xEB0y/Ib10JvNmqIpKKBgwwYsR41sdmUvNcXf3h8bE5taqe/dwKxPH8wHDCD319/Q5Offdsypd2+C+xSQlO9JzKI1tbYdmxV78zPz/T7v81W/rxolQL6BhbEFH/T9gKXDliKTyHh277O8F/EeheWFBln/YPJB4gvimdtprsGzyPCABMnGlla098wiIcMVVVbznhMr6nSc2J2BuSwfv3pkkQGUsbGYtm+P1Fy/DQCGQhAEzIKDKIuKQlSr73pe0LypTJhhwuyP/Xnqx4mM/nwWfV5+Eu/xY7Dx61Cvpr4bSGQyBr8zFVfLZA4cNCdx995622zujPcez+pRqzE3MmdO2BwWnV2k18kakemRHEk9wtxOc2u1XXoDUafjwLdbKa20ZtgTrvXaGq0OZewpVKdPY/vkkwjSplur3tBYGlsy1HMoO67tQKX5WwnTb+oEfFolEn3OmdSDh24+btK2LeaDHiF/9Rp0ZWWN4HHtOZ5xHIkgoYezfgJaUafj4jkBJ7O0eo0vrSsFq1YjKpXYP/OMwdc2FBJBQqBrIJHpkXX6XHJ88w10KhW5P/54x7GAmZPwdkrkxJnbX9v3QifqWHxuMbP3zMZUasqqkat43PfxJqNf0NO5J5se3cScjnPYcW0HQzcN5ZNjn3A5//L9L64jOlHHL2d+wdPSkxGtDZ9FhgckSAbwH90DHUbEbdnX2K7Ui6Sw/WSVudKjr4i0HnViYmUlqjNnkDez0W//xDwkBFGpvG0kzz+RyuW0CgrSazPW3dYZ+e5Y7ORZ7NlSSebx4w26XnPAx8aHdaPXMcxzGD+c+oEX9r9AQXlBve1qdVrmn5yPq7kr0/zuLLW5F6JOR3pEBHs+XM61HC/6dM9tkDKs/GXLkFhZYT2hHmpGLYTx3uMprSxlX9Lfn7+CREL/VyZibZJH2MYCytJSbx6znzMHXVERhRs3Noa7tSYqI4oA+wAsjGuveFod2dHRFFQ44dfV8LXA2tIy8letwnzQIEy8vQ2+viEJdg0mvzyfi3kXa32tSZs22EyeTMH6P6i4evW2Y4JEwoDXJmJtkkvYxkLKUpLvaaugvIAX97/I97HfM8hjEOtHr8fPzvDqivfDRGrCvG7z2DBmA8O8hrH16lYe2/YYT+56kp3XdlKp1e8I0IMpB7lccJm5nebqRXitLjwwQbJdQCdcLFK4cM7ojhmdzQVRpyM6LBMLozzaT6pfFrn80iVElQpFM61HvoGiV2+QySi7y5QLQ2NsbcOYNx9BIStl++/Z5F8439guNTpmRmZ82e9L3u/zPicyTjBp2yROZ5+ul83NVzaTUJDAK91fwVhaM4nnioJ8zi5bz7pX1vPnKjUpuY50802my9NT6uVLdaiTkynZtw+byZNbhJRvfenh1AMPCw82JWy67XFjSyuGPe1Hpc6Uvd/vQ6fRAFQ1OvbsSd6y5ffcJWoKlKhLOJ97Xq+lFnEHLiATKmg3yvBlOoV//IGuqAj7uS03i3yDIJcgBATC08LrdL39Sy8ikcvJ/nr+HceMLa0Y/kwAlTpj9nx/EK26olob14uuM2nbJKIyovhP7/8wv//8Ri2vqAneNt58GvQp+yft5/UYlifRAAAgAElEQVQer5OjyuGt8LcYvHEwP8T+QEZpRq3siRotKfsPsOeDpSx7MZQ189ay+c3lHF54hmFJk3DZW0TculCSwvaRExtDWUoyOrVhZvK3+Ma9WwkItCFsjznJBw7gOdTwMyfrS9KevWQrXRnYL7/ejRzKmBgA5F2bd5AsNTdD0a0bpeEROL72WmO7A4CilQuP/rszm767yLZfLjHxDXPMPb0a261GRRAEHvd9nAD7AF499Cqzds/i5e4vM7PDzFpvJ5ZVlvHj6R/p4tClRtKk2SejubDnHPGpzmhEBxwVaQzsl4/3mKENpo6Vv+J3kMmweaLpNnEaEkEQmOA9ge9ivyOxKBEvK6+bx+w6daZf/6scOORB9M9r6P3vquZJu2fmkDL3WYp27MR6/LhG8vz+nMw8iVbU6i1IriwtISHZkbbOGZjYGLZxUadWk798OYrevZF37mzQtRsDG1MbAuwDOJp2lOc7176vQWZri/1zz5I9/xvKjh3D7B87UrYBHRk46Bp797lz/H9r7ph+pBN1fBj5IeXaclaNXEUHuw71+nsMjZWJFU/6P8mMDjOITI9k/aX1LD63mCXnlzDAbQCT20+mT6s+d1XvK0m8Rtz2CC5dklOiscNEYo+nUy4aDWSoJJiWuOJcaUFU+q07KkV//cRjKilDYVyGwkSNXK5DYS6gsDBGYS1HYWuJ3N4WhaMjcgcnROpW6vdABcltRgxFvm8X5w8VYiDZb70h6nScCMvB0sgY38fqrih2A1VMLEbu7hg56bcOszEwCw4mZ8ECKrOzMXJsGn+PlbcvY54u5c9FmWxdcIwJ/1Hovea1OdLBrgN/jPmD9yPeZ/7J+cRkxfB/wf+HpXHNg9Wl55eSq8rl+4Hf3zXAriwtIWFrGBdOKslWuiITWuHtmkHAsAAce87Q159TLerUNApDQ7EaPbpFvL/0xdh2Y/nfqf/x55U/eaX7K7cd85sygfSEpZy86EGrffvxGDwIs5AQTHx9yVuyGKuxjzbZ8Z1RmVGYSk3p7KCfoPLa7gOoRQv8BrTVi73aULR5M5rsbFy++NzgazcWQa5BLDy7kKKKIqxMai84ZjNjBgVr1pL15Ve03rTxjv4Dn8fGknFlKacTvGi1bSdtxoy8eezPhD85lX2KTwI/aXYB8q1IBAnBrsEEuwaTVprGhssbCE0I5UDKATwtPZnsO5lH2z6KlYkVWpWK63v2EXc8l+RCd8ANd6tk+vYxofWwwcgUCkRRZPL2yZRWlrJ13FbEMiXKrExUOXkocwtQFpSiLCpHWapBVQZKlYysPAXKLPObIl9VFP71cwmZULcdqQcqSJaamtLBp5iYOHeKr1/FsrXhP4TqSuKuMHJULjzSv6DeWWRRFFHGxlZJO7cAzEOqguSyo5FNKuPk0K07Ix8/xLb1MnZ+uZsxH43HyFw/NYvNGUtjS74b+B2r4lax4OQCHt/2ON8M+AZ/u/sPq88sy2TFhRWMaD2iWqWs/AvnubAjmsuJ9lTobLAxURPSOxvfsYMxsW2YMXS3ojp3npTnn0cwMsKuBTc91QV7uT393Pqx5coWXur60h0qXv1emUT2f7axL1TBZN9kzNw9sJvzNOlvvEnpocNYPHKnsmZT4Hj6cbo5datx2c/9iDtRgKVRBS5BE/Vir6aIGg15i5dgGhCAogWMSq0pwa7B/Hrm15tqdrVFYmKC4+uvkfbqaxRt3oL1xDvHAAbPm0r2exvZv9MGW99LWPu0J0+Vx4KYBXR36s64dk3ne6u+uJq78nL3l3mhywuEJYWx7tI6vor+it/D1zI0ZwBWGb5Uai0wl1XQwz8dv1GBWLa5XQH2UMoh4vLj+DTo06paZAtLrCwssWp3//XVxUWosjJRZueizCusCqiLK6hQaur09zTNW/MGxH9sCAIiF7c0jRrWmiDqdJzYl4elUS6+E+tXiwxQmZSENi+v2c5H/icmvr5I7e0pi2h6z6nbwAEMGVFJRqkLYZ9tNFgdVVNHEARmdJjBsuHL0Og0zNg5g3WX1iGK4j2v+z72e0RR5OVuL998TFteTsKfW9n85grW/i+b89dc8XDIYfw0I6Z+O5lOs6YYJEAuOXiQpJkzkZiY4LV2DSZtWjf4ms2NCd4TyCvPIzz1zhpQI3MLhs/tTKVozJ4fDqJTV2I5YgRGrq7kLVrUCN7enxxlDleLruqt1KL4agJpxR74ta8wuHpn8Z49VCYnYzf3mSYzUcEQBNgFYG1iXadRcDewGDECeefO5Hz3HTql8o7jUrmcYf8KRBB07P45Bk1ZKd+c/AalRskHfT5okf/exlJjhtoF807BWN48+wbjTr2OSVoXLlld4WLXUGz+bUSXFyZj2eb2yFcURX458wtu5m6MbjO69utaWmHl7UuroCDaPjqKjk9Opve/ZtLvrdl1+jseuCDZwqsNnnYpXEywQlte3tju1IjrO3aTq2pFz2AjJMb1l49WxsQCoGjmky1uIEgkmAcFUXb0KKK26TVlths7mv6BeSTme3Lwy5WIOv2NQWvudHHswoYxG+jdqjf/jfovbx15i7LK6sd+nc89z/Zr25npPxMXcxeKr13h2LfLWfHabsL2mFOiktO3azpPftiRoR/PxqVfiMG26PPXrCH1xZcwadsWr/XrMGnbfHapDEmwa5WIza0zk2/FpoM/AwZVklHiTtRPqxFkMmxnzUJ16tTNPoqmhL6lqON2HgN0+I427C6fKIrkLVqMcZs2WAwebNC1GxupREpfl75EpEXUeUSlIAg4vvUWmpwc8pYuq/Ycy9ZtGfyonLzyVmz8ZiXbrm1jlv8s2ljXTQSpqSLqdGQcPcr+T5ey7O1IDoXbIdMYEdQjiynvtqXbdCeSHZN479h/GLJhCN/GfEtqyd+TbQ6nHiYuP65RJ1rcygMXJAME9PdApbXk2s6wxnblvogaLSf2F2JlnIPP+NrfVVWHMjYGqbU1xm1azpvTLDgYbWEh5RdrP8rHEATMnEwP/1QupXlx/PvfG9udJoWNqQ0/DfqJed3msSdpD1O2TyG+IP62c0RR5Ovor7EzsWNoehu2v7OMlV8lcuqyK07W+YyeoGP6txPp9uz022SOGxpRpyPrq6/J+uRTzPv3x/P3FcjsGz5r3VyRSWSMazeO8LRwssqqn1nv+9hYOrgnEnvZg8Tde7GeOAGpjQ15ixYb2Nv7E5URhZWJlV7kgnUaDZcuK/CwTsHC07C7EGVHjlBx6RJ2c+Y02drvhiTENYT88nwu5V+qsw1Ft65YDB9O3pIlVGZlV3uO1/AhdPFLJi/dl775A5jbaW6d12tqKDMyOLVwNWtf+YPQlRVcTXfCxy2TiU8pmPLtZLrMmYqje1umd5jO1nFbWThkId2curH8wnJGho7kpf0vEZ4azi9nfsHV3JXRbfUT79SXxg/TGwGPRwZiuW0T546p0KOKaINwbedu8sqdGTyoWC9ZZKhq2pN369aitnjMggJBECgND0fe0fDD92tCrxeno/xiObGXvVAsXUvn2VMb2yW9oC4s4NqeQyRdKEAUwcgIZMYgMxIwMpYiM5FiZCxDZmqEkakRMlMTjOQmyBSmyORyjBQKjMzMedLrcTrZdeStiLeZtmMa7/V+j/HeVTOG98SGQqw9kzPHcKDSDIW0kh4d0ukwNgQLz8aZVKOrqCD9rbcp2b0bmyeewOnddx5o0ZCaMr7deBadW8TWq1t5plP1ddshLz9O1ntb2LfVgsl+mdjMmE7uD/+jPD4eUx8fA3tcPaIocjzjOL2de9+1e782pB0+QqnGlsDe+qltrg25Cxchc2mF1ZimEZgYmhsyyxFpEfVqoHN87VVK9+8n5/vvcfnsv9Weczq4lNS0eLrEj6L0fBymXbrWeb3GRqeuJPnAQeIiUknMdUNHK5zNU3mkTwFtRw3G2LL6RkhBEOjr0pe+Ln3JLMtkQ/wGNsVv4nDqYQA+Cfzkjp6FxuKBDJIFmZSAjpVExrqTd/YMdp2a5qgbUaPlxIEirI1L8B7/mF5savLyUCcmYj1JP/aaCjJbW0z9/SmLOIrDCy80tjvVIkgk9H9zJuUf/U7ECS/kVlvx0UONeWOgKSslce9BEmJySMpxQYsVZjIdxlI1lVojNDojNKIxGvFuTaZaoOyvn9uZLLxBubSSy9FqvhPW4CToyC13opc4ilZWSXQMkuM1fFS9G1jrg6aggNQXXkR16hSOb72F7VNPtqibzobE3dKdXs69CE0I5emOT1cbYMrMzBn+fHf++O4qYT+EM+atSeQtXkL+kiW4fPllI3h9J4nFiWQps/RXanEkEROJPa2HGbbcQXnyJKqYGJzeew/BqGkEJobGTm5HB7sORKRF1Cu7a+zujs2MGeQvW4btjOmY+t0uCHK96DpLLi5l6IBBKHY4sntpPJM+9jT4qL/6UpJ4jQtbwrmUYE6Zxga5xJZO3mn4De+Jrf8j9zdwC85mzvyr6794rtNz7E/eT3xBfJPJIsMDGiQD+I0fQlRsLOd3xtC/iQbJV7fvJL/cmSGDS/QinQxVUtQA8m4to2nvVsxCgslbuAhtcTFSy4aZf1tfJDIZQ96dwrYPN7B/bytMrarGXTUHtOXlpBw6QsLxVK5nOVEpmqGQavBvk4F3SHuceg+4Y6tW1GjRqMqoLC1DoyylUqVCU6aq+m+5mkpVBZpyNZoKDZUVGirVWjRqLeoKkYsVpVytrCRHZ0K29SWmDOnKoMBZd/HOcKiTkkiZ+yyVGRm4fvcdlsOHNbZLzY4J3hN4O/xtojOj7xpkWvu2Z+DQBML2uBG9cjvtJj1G/uo1OMybh5GLi4E9vpOojCgA+raq/ySI8rwcrmW50KF1OjIDi8/kLlyI1NYW68cMO02jqRHsGszic4vrPAruBvbPPUtRaChZX32Fx9KlN2+eRVHk0+OfYioz5fWBb1FpdZk/Vyo5sGAzwz9+qlmUuZTn5RCzfDtnE1wQccHDJpWQvqZ4DR1eLwVgACOpEcNbD2d46+F68lY/PLBBsqmDI+1c0rmc5ETfokKMrawb26Xb0Gk0nDhYio1JKe3GTdKbXVVMLIKJCab+9x+31dwwDw4m75dfKTt2HMthTXcQtkyhYOQ7o/jzkzB2bbJmnFUUTj31k43SNzqNhvTwCBIir3E1zZ4KnTkmEnu83bLwDmyDS8iYe97ACTIpRhaWdRLtGAhEpkXydvjbdHbozKDAxv8SV546ReoLL4Io4rF8OYpuzXertDEZ5DEIC2MLQhNC75mJ9R4/hvTLVTNmHftXjU/MW74c53ffNZSrd+V4xnFczFxws3Crt62E7QfQ4oDfEMMmbMrj4ig7Eo7Dy/OQyOUGXbupEeIawsKzCzmWcYzhXnUP1KSWlti/+CJZ//0vpYcPYzFgAADbrm0jOjOa9/u8j73cHoLsCYxbw9GTXpxZuo4uc6bp6S/RPxqlknOrNxNzypwKnTvtXZPpNWMAFl7NT5SttjT9W5cGJGBoBypFOfFbml4D39WtOymocKLnADO9ZZGhKpMs79gRibHh694aGnnnzkgsLCiLqJvEqCExsbVnzGvByGVlbF+WSeGluMZ26SaiTkfm8eOEf7WMFfO2sWW9jvhUZzwdcxk1tpJZC4Yy8L3ZuA0coNfXZnUEugayd9JeFgxc0KDr1ITisDCSn5qFxNICr3VrHwbI9cBUZsroNqPZl7SPooqie54bPG8qDvJ0DoebIBs8ksING9EUFBjI0+rR6rScyDxBH5c+eimziTtdib08A4duhp04lLdoERIzM2ymNd0AzVB0tO+IpbElEan1HyVqM2Uyxl5eZH/1NWJlJYXlhcyPnk9nh8485vN3qWPn2VNo45BI5EkHdn+wlMyo4/VeW5+IGi2XN2xm9Zs7iYxxxtkqjykv2DPo/dlYeLWcxv978UAHyU69emEvT+d8rKZJjeXSaTREH1Zia5JFuzGj9GdXqaT84kXkLWT02z8RZDLM+vShNOLofeftNgXM3D149MUAALb+eJ6ylORG80XU6cg9fZpj3y5n5bxNbFqu5MK1VjjbFDB0WBmzvw5hyEez8RoxrN7barXFRGrSqE0coiiSt3w5afNextTPD6+1azH28mo0f1oKE7wnoNap2X5t+z3Pk8rlDHuxF6IocErnj7ZcTcHqNQbysnri8uMoUZfQ27n+O0C5p0+Ro3LBr5Nhmz7ViYkU796DzbSpTbY8zZBIJVICXQI5ml7/7w/ByAjHN99Afe0aBRs2sCBmAcXqYt7v8/5tNfiCRMKgNybSxSeNlBxHNi1TEvr671zdugOdpm7iF/oiZf8B/nhjLfv2WyI3KmfsZAmjP5+FXacujeqXoXlgyy2g6gUa0MOEQ+F2ZB47RqugoMZ2CYArm3dQUOHIsOFleh0orzp7DjQaFC1ERKQ6zEKCKdm7F/XVq5i0q4E8TyNj3d6PMbNK+HNpLtu+iWD8B0MNInxxg8LLl0jYF01CvIyCCicEXHG3TqVXVymthw5odg0l+kbUasn6/AsKVq3CYuhQXL76EomBbxJaKu1t29PBrgOhCaFMaz/tnhlZq3Y+DBp5hV073Eju+QRGq1ZhN3sWEgPX797gxnzkXq161dtWXNhpJLjgM7p2DU/1JW/Jkqo51DNnGnTdpkywazC7E3dzueByvcf6mQ8ciKJXLzK//47ds5XM7DEbX1vfO84ztrQi8NWn6FFUSNymXZw5JWf3TjmWe0Pp3E3E77ERdSpXqyu5p09xbN1pkgs9sTAyYciQUrzHTjW4uE1T4YHOJAP4PDoMY0HJub2XG9sV4K8s8hEVdqaZtB098v4X1AJlbAwIAvIuLfdO8IbUdmkTVN+7G449ezHyMVMKyu3Z+fkONNUoNukTIT+PUwtX88crq1j9bTonzrliaqymf2AOsz7uyJgvZtF+8oQHPkDWqVSk/nseBatWYTtrFq7fffswQNYzE70nEl8Qz8W8+883bzNmJJ3aJHFN0ZsMmSeFm6oXJDEExzOO42PjU1VbWg+0KhXxiba0cUzD1MFRT97dn8qsLAo3b8Fq4gRkDg4GW7epE+RalSirj/reDQRBwPaNVxGLS5hx0oznOj13z/ONrazpPHsq078Zx7ARSuTG5YRHObDirUMc+3Z5g+80liRdZ/8nS1n/ax5ZxXYE9cjiia9G4zPx0Qc2QIYHPJMMYGRhia9XDheuu6LMyDCoEEF1JPy5nUK1I8NHqvT+wlTFxGLi49Oit9aMXFwwbtuWsvAI7J56qrHdqTHugx5hUOFW9u51Z+9n6xj20cxa1/vq1JUos9Ipy8ykLDsfZV4JZYXllBVrUJYJlJUbU6Y2Q6W1AcBRkUZg90y8hwZi7mnYLFZTR5ObS8rzL1B+4QJO//kPttOfaGyXWiQjWo/g6+iv2ZSwCX/7+zcTB/57KpnvbuCS33SsVyzCZspkg48tK9eUcyrrFJPbT663reth+ynXWeAXYqYHz2pO/rLloNNh9/TTBl23qWMvt8fP1o/w1HDmdJxTb3vrxBNo/QUGHVciyyoAt/vvfEiMjWg3djTtxkJGZCRndiVy6rI7p/97CW+XfXR5tCv2epytXJGfS+zy7ZyJdwZc6OqTSrcnR2Fq9/DmCR4GyQAEjO7Juf9lE7dlP92fm95ofujUlUSHV2BnmkGbkVP0alvUaFCdOoXVuLF6tdsUMQ8OomDdenTl5c0q8+cz8VFURWuJOOHF4a9+Z8DbVWOBdOpKVFkZVcFvTgFleUWUFZajLNZQViZQpjL6K/i14O/NIRPABAEtcmkpZsZlmMvVONpXoBGS6TlxKNa+DwPj6qi4dp2UuXPR5Obi9uP/sHjk4b9TQ2FhbMFQr6Hsur6L13u8jsLo3kGE1NSUYS/1Zf1XcZxxGo/75q3YTjLs1JPTOadR69T0adWn3rbijudgLrPEbaDhPpc1BQUU/PEHliNHYuxW/8kcLY1g12CWnl9KsboYS+O6J5RSilP47exvjHiiP5KPj5OzYAGuC76plY1WgYG0CgykKOEyZ0IjiUt05vKvBbhZLafLIFc8Bg+q8+g4rUrFudWbORlrRoXODV+XZHrPHIBFPSZ7tEQeBsmArX8ArpbLuXDBjK4aTYN37N+N+D+3UaR2YMToCr1nkSvi49EplcgN3D3dGJgFh5C/4neU0dGYh4Q0tju1ovPsqSiLqlT5Ml75gwqNCSqtOSI3Xg9GgD2gQy4twcy4DDN5JY72BSgsSzCzNsXM1hIzR1vMnJ2RO7W6Q6nx0KFDWPvWX0a3JaI8eZKUF19CkMnwXPl7k1VvbElM8J7A1qtb2Zu0l7Ht7h8sWrZpx6DRCeza7sGurdfoZ3cQtwH9DTZn9nj6cWSCjB5OPeplpzQliZQCN7r5pRv0O6dg1WpEpRK7Z+qfKW2JBLsGs+jcIqIyohhSRzVPURT5v6j/QyaR8a9hHyOkrCP351+wfXIm8s61H/Nn5e1Lv7d86ZWXw4UNezh3zpLtoVJsdqynS28jfMaNrPF8bVGjJWHLDo4fqqCk0gkP6yT6TnHHvothRWyaCw+D5L8ICLRjz24zkvcdwGu44Wfs6tSVREdosJen03qk/sfxKGOqRERactPeDRQ9eyCYmFAWEdHsgmSAPvNmIv15FVlpWpzNlJj9Ffwq7CxuCX6dG1VxriVStGMHGW+/g5GbG+6LFj7MshmIbo7d8LL0IjQhtEZBMkCb0SPoc/J7YpPc2fqHSKudK+k5wh23gXcK2uibqIwoOjl0um/W+35c3h6OiAvtRxhuRrqurIz8Vaswf+SRJiPv3dTo5NAJC2MLItIi6hwk707cTWR6JG/3ehtHhSO6p5+mYMMGsr74Es81q+s8NtDUzoHuz02nS3k5V7bu5lSkjoNHbDl+NIyOfiUETBqK3MnprtenHjpE5JZUclQu2MtLGDgO3Ac1vkBTU+ZhkPwXrUcORbF3J+ePFNIYuw2XN22luNKekcPVDfIhr4yNQebSCqNGrrk2BBJTUxQ9e1IaHoHTO43tTe0RJBJ6vfSw49xQiKJI3uLF5HyzAEWPHrj9+D+k1k1LXKglIwgC473H823Mt1wvuk5rq9Y1uq7bu89jNmQ4mW69SJT1ZOsGcN61ip7DXXF/ZGCDfI4WVRRxIe8Cz3W+dxPW/RB1OuLijHCxSMHax3DlPAV/bEBXVIT93GcMtmZzQyaR0bdVXyLSIhBFsdYBbbG6mC9PfIm/nT9TfKvKJiVmZjj8+99kvv8BJXvC6q3SKTU1xffxcfg8piP18GHOhBVw4rwnMedP0d4jnc7j+2Dj1+Hm+Xlnz3BsbSxJBZ6Yy0wZPKgYn/FTHuiGvJpSo08RQRCGC4JwWRCEK4IgvF3NcQ9BEA4KgnBKEISzgiDodyyDAZAam9DBt4SkfHeKryYYdG2tuoKTkVoc5Ol4jdB/FlsURVQxsSgegFKLG5gFB6G+do3KtLTGduUhTRhRoyHzo4/J+WYBlqNG4b50ycMAuRF4tO2jyAQZfyb8WeNrBGNjHJ6cgVPMFh6b5UW/vjmUlpuxbaPApjdWkRS2T+/z709mnkRErHc9ckZkJEVqB/x6GK6JWqdWk79sGYpevVr0hCN9EOwaTLYym/iC+Fpf+33M9xRUFPBB3w+QSv4OQq0nTMDEx4fs+fPRqdV68VOQSHAfOJDRn89i6ksO+LqncynZhTXfZ7Lj3WVc37mHA/+3hPU/Z5NZZE9gtwye+GokvpPGPQyQa8h9g2RBEKTAT8AIoAMwVRCEDv847T/AH6IodgWmAD/r21FD4D+2HwIiF7YeNei6lzduo7jSnl5DHRok+1GZloYmO/uBKLW4wY0yi9IIwz6XD2k+6MrKSHnxRQrXr8du7lxcvv6qRSpRNgfs5fb0c+vHlqtbqNRV1vg668cnIbGwoHDVKjo+OZnpX4+kf1AuZRUKtodK2Pj6ahJ3h+ktWD6WcQyFTEFHh/rVqscdjMdIUNF25CC9+FUTijZvRpOdjd3cuQZbs7lS11FwZ3LOsCF+A9PaT6OD3e1hkiCV4vjWm1SmplKwarXefL2BbUBHBr43m5kfdqKnfyqZhbbs3GrE5VQ3OrdLZfrHvek694ka1y4/pIqaRGS9gCuiKF4TRVENrAP+WTgmAjduia2AdP25aDjMPb3wsk/hYoINWpXKIGtqy8s5eUzEUZGG57CG0UFXxcQAPBBNezcwbtMGWatWlDWjeckPMRyiVkvqK69QFnEU548/xvHVVwzW+PWQ6pnoM5H88nyOpByp8TVSc3NspkyhZE8Y6uRkpHI5ATMeZ/r80QwIyUNVacqOzTI2vr6a6zv31DtYjsqIortT93opQKqLCrmS7oy3W5bBRCJErZa8JUsw9ffHLCjQIGs2ZxwVjvja+NYqSK7UVfLJsU9wVDjyUteXqj3HPCgIs34h5P76a4NJqytaudDrXzN58utBjBhdwRNvtiXo9VkGncPdkqhJTbIrkHLL76nAPzsNPgLCBEH4F2AGVNsmKQjCXGAugIODA4cOHaqlu/fG6No15AcPUjx9OpjUralJ4amjPNeCI4uWIXT6Z8Jc/2iizlFS6Y9HwFUOH6n5l0NtsNi+HVO5nONpqZChn/uX0tJSvT9/+saibVvU4eFc2b8fpA+3lm7QHJ67hsZsyxbMj4RTPG0aWU6O0Iz+PVrq86cVtVhJrVgYtRDp9Zq/XyXt2mIvkXDuv/+lZOrUvw+4OuAxVoPu7EVSrjmwc6sRtntW4eyrgvbetb4pKtAUkFicSFdp1zr/+5eWlhKxZBUasQMSV6nBnkeTkyexTkomZ+4zJB0+bJA1mzseWg/2Z+1n14FdyCVy4N7vvX1F+4gvjGeOwxyij0bf1a50wADswiM48+57lEx+vCFc/xtzOcnJqZCc2rDrtGD01bg3FVguiuI3giD0BVYKghAgiuJtt+2iKC4EFgL4+vqKAwYM0NPyVZSIIqlffc48sisAACAASURBVE37V15B0a1upQVicAip5zZSkGzOhH/r179byYqOImpjHClF/rhYpND/macbLJN1df58jHr1xF+P814PHTqEvp8/fVNcoSYtIoJe1tYouj84WfT70Ryeu4akOCyMtF27sZ40Cb8P3m9sd2pNS37+LsReYMn5JbTv2R5nM+caX5ceHY1k+w46f/45Mtt/KEUOHoxWXUH8pu2cjDTl4lk37BMy6PmIDa1HDKtxbebmK5shDZ4IfqJaeeGacOjQIfLSLbExyabfzBkG2b0QRZHr332P2Lo1fV5++eGOSQ0xzzRn7569GLc1ZoDnAODu77300nTe3PImA9wHMO+Refe1nXE5HmHTJgLefAOT1jVrVH1I41CTd0sa4H7L725/PXYrTwN/AIiieAwwpWqYq0Ex9a9SbCo/f77ONgSZlIBOWjJK3cg9fVpfrt0k//w5dr2/lI1LysgpsSGoRyZjPprYYB9cmoIC1FeuPlBNezcw69sHpNJmJVH9kIal4soVMt5+B9POnXB6/z+N7c5D/sF47/HoRB1brmyp1XV2s2cjlpdTsHpNtcelxib4TZ3IE9+MZ9DAIiq1MnbtMGX96+u5unUHokZ73zWiMqKwNbXF28a7Vr7dipCZSWapG+39tQYLVsvCw6m4dAm7OXMeBsi1oLNjZ8yNzAlPC7/neaIo8lnUZwC82+vdGtl2+NdLSExMyJ5fO3GRhxiemrxjogFvQRBaC4JgTFVj3tZ/nJMMDAIQBMGPqiA5R5+O1gQjR0dkTk6oztU9SAZoP3YwUtSc3xWrJ8+g+NoV9n+ylHU/ZpKS60TPgFRmfNaPLnOmITMz19s6/0R1qirQf5Ca9m4gtbRE3rkzZeEPg+SHgLakhNQXX0JQKHD74YeHTXpNEHcLd3o79+bPK3+iE2teP2zSpg3mgwZRsHo1OqXyrudJjI1oP3k80+ZPYPCgYrQ6Cbt3yln3+noS/tx212BZFEWOZxynt3NvJELdA83yS9kIaPEd1b/ONmpL7m8LkbVqhdWY0QZbsyXw/+zdd3hT5dvA8e9Jmjbp3oMOZlmtQNlTBUQQZCouNoiibERQQRRcTAFBQWXJEgRZIgKC7EKBMlv26qKT7rRpmuS8f5QfLypIR9qTtudzXVy1yRm3TdPc5zn3cz8qhYqWPi0ftIJ7nP3R+zkUe4iRjUbiY1+4FqtW7u64vfUW2fv3oz150lwhy0rBE9/toigagFHAHuAyBV0sIgVBmCEIQo/7m70HDBcE4TzwMzBY/K/fqlKkDg4u0UgygNrDk0Dfu1yN9kafXrLiem1cLIdnrWDd7Ftcv1uFhrViGfBpU5qPGoi1s0uJjl0YuWfCEVQq1JV05TD7dm3RRUZiSE2VOhSZhESTibvvT0IfF4ffwgWo/qPhvkxafQL7EJcdx8mEoiUPbsOGYkxPJ33Lk9vIKaxV1Onbi9e/fplOz2Uhigr27rHj5/d+4fqWHZgMhr9tfyvjFim5KbTwboFoMGLU52HIySE/KxN9Rjp5qSnokpPIiY9HGxdLdkwUWXdukXnrBhnXr5J+5TKpkRHEJflR1S0GO9+yWagmJzyc3PBw3IYMQZAvCousrW9bEnMSuZF+45HPZ+uz+SrsK+q41KFfvX5FOrbroIFYVfEhaeYss7cqlJlPoWqSRVHcBez6x2PTHvrvS0Ab84ZWPJrgILL378eYnY3SvvgjtMFdgriyXMvV7Xt5atCrRd5fdy+Zs6t/58I1T4yiP/UCYmjWrwP2Vct2pZKc8DOog4NRFHMiY3ln17YtyQu/QXssVB5JqcRSvv2O7IMH8fp4qlyfbuE6Vu2IY5gjW65tKVI/YtvGjdGEhJC6ciUur72KUIilnhVWVtR+uSe1ehm4uWMXpw7B3r32WP25FwEREQFRVGBEwVvMJ+G4gu8oycQ3Z+q11pRg/6JJ+eEHlC4uOPd9uczOWZH8rxXcsbhjjyyzWXxuMcm5ySxovwArRdGmeCnUajzHj+fu+5PI/O03nHoWbrVJWdmqcCvuqYODAdBFXsKuRfNiH8erWQs81q8l4oyS4AGmQtdy5WdlcmHtDs5edCLPFECg1x2a92uNc+3Sae/2X0w6HbkREbgNqryrt6mDglC6uKA9elROkiuprL/+IuXbb3Hq3RuXN8y/5LvMvGyUNrxY40U2XdtEui4dZ3XhF3dxe3MYsSNHkbV3L45dC7+mlcLKisA+PajVw8jNnbuIv5aCIICgKFgR8E9dLGliHq87BqIQhILHFQKCICAoBBQK4W/fC0oBQVDcf67gq6AQiEtKoPoLbxbnx1JkusuX0R46jMfYMSg0ZZeYVyTedt4EugRyNO4og4MH/+25yJRIfr7yM6/UeaXYfbMdu3UjdfUakr6ej33H51Da25khapk5Vbwk+aHJeyVJkgGCm2k4cNiF+NBQqrRt+5/bGnNzidywndOnbcg1VqGaaxQtXvHDvVHZLTn6T7qICMjPr1T9kf9JUCiwa92a7GPHMOXlVdoR9coq79Yt7r4/CXVwMN6fflLkJWZl0ugT2If1V9bz++3fi3Qb2759e6yrV+fesuU4vPBCkV9vwUpJrV7dqfXQYwaTgQkb2tK1eldatCrZgEPcwYNlNnnu3o8/orC1lS8MS6itb1vWXFqDNl/74DGDycD049NxVbsytvGTu1k8jqBQ4PXRh0T160/CtGlUmTdX/htlYSrcVFcrV1dUVaqgiyxZXTJAYI/nsVFoifjz8UtTmgwGrmzcwrr3d3IkzBMX20z6DFTT7cshuDcKKXEMJZETXjDxUBNSuZcgderZA2NKCjEjRmDSap+8g6xCMGZnEztqNIKNDX6LvpEvkMqROq51CHIL4tfrv/7npKl/EhQK3IYNRXfpEjknTpglloiUCLT5Wlr4/HN5AMulj4oic/ceXN54HaWTk9ThlGvtfNthMBkIiw978NiGKxu4nHqZyc0n42DtUKLj24aE4DF2LJm7dpG2/tHdWWTSqXBJMhSUXORGRJb4OCp7B+pWT+Fmoh85/1iEQzSZuLnjdza8t4n9B5xRq/Lo/rJIr1kD8GltGSsa5ZwJx7pWTaxcSn+CoCWzf/ppqsyaSc7JU0QPHYYxPV3qkGSlTDSZuPvBB+ijovCdPx+VT+FmncssR5/APlxPu07kvaL9LXfs0QOlhzv3li03Sxxh8WEICDT3LtmdybJ0b9lyBCsrXAcNkjqUcq+RRyNsrWwfrL6XoE1g0dlFtPFtQ+eqnc1yDrfhb2L/7LMkzpxF7vnzZjmmzDwqbJKcHx2NMSOjxMcKerEFJqy4tG0/UPDhG71vP5veW8/uXRpAoEvXXPrOe4OA5zpaTB9K0WQi98zZStkf+VGcevbEb+ECdJcuETVwEIbkMu9QKCtD9374gex9+/GaPKnEZVcyaXSt3hWNlYZfr/9apP0U1ta4DhiI9tgxdJcvlziOE/EnqOtaFxd1+RhsyE9MImPbNpz69MbKw0PqcMo9lfLvreBmnZyFUTQypcUUs5VGCAoFVWZ+hcrTk9hx40ttyWpZ0VlGRmdmmuD7dcmRJR9NdqlXHz+naCIjNcQfO8b2D9bw22aB3Hw1HZ5N57U5L1GzRzeLSY7/J+/6DUxZWZWyP/LjODz3HP7fL0UfG8ud/v3Jj/vnmjiyiiD70CGSF36DY4/uuAwYIHU4smKyt7anU9VO/HH7D3LyH9/7+FFcXnsVha0t91asLFEMOfk5nE8+X6QuG1JLXbUK0WjEbdgwqUOpMNr6tSVeG8/+zP3si97HiIYj8Hfwf/KORaB0dsZ3wQKMKSncnTRZbgtnISwrszOT/03eM0fJBUBwGw+yDa5sWZNHqtaJdi2S6D+nG/Ve64PCWmWWc5hbzumCteM1xVyeu6Kya92agOXLMKalc6dff/Ju3ZI6JJkZ6aOiiJv4Pjb16uIzfbo8CaaceynwJbT5WvZG7S3SfkpHR5xffZXMXbtKdDF8Nuks+ab8cpMkG9LSSNu4EceuXbH2N28SV5m1820HwPb07dRyrsWgoNIpY9E8FYzXlI/QHjnCve+/L5VzyIqmQibJSicnVAEBJV5U5H+qdXmO2t53aNEwjgEzO9BgyGsoLbyljvb4cVS+vqj8yqZpfXliGxJC1dU/IebnE9V/ALpLl6QOSWYGJq2W2FGjEJRK/L5ZJLe9qgBCPEOo5liNLde3FHlf10EDQRC499NPxT7/ifgTqBQqQryknYRdWGnr1iPm5OA2fLjUoVQo3nbe1HIu6HkyrdU0VIrSGxxzfvVVHLt3J/mbRWhDQ0vtPLLCqZBJMhSUXJgrSVZa29Dp06E0fWcAKgdHsxyzNIkGAzknwrBr3VoeSXsMdd26VFu3FkFtQ9TAQeSEh0sdkqwERFHk7kdTyLt5C9/5X2Pt5yt1SDIzEASBPoF9OJt0llvpRbvro/L2xqlbN9I3bS52jWdYfBiNPBuhsbL8Cy6TVkvamjXYt2+Puk5tqcOpcEaHjOZll5cJ8SzdCyZBEPCZ/ik2tWoSN/F98hMTS/V8sv9WYZNkdfBT5N+9WymXI869eBFTdjZ2bSyjy4alsq5WjWrr1mHl7k70sDfJPnJU6pBkxXRv2TKy9uzB8733sGvVSupwZGbUvWZ3rAQrtt548nLT/+Q6dChibi7pGzYUed80XRqXUy/Twrt8tH5L27QJY0YGbm/Jo8iloUNAB55xfKZMzqWwtcV34UJMOh1x48Yj5ueXyXmlpo+OJnH2HJLmfU3K0u9JXbOW9K3byNy7l+xjx8g9d468GzfIj4/HmJmJaDSWekwVbjGR/1E/NHnPvl07iaMpW9rQUBAEbFuUjz/uUlL5+FB13Vqi3xxOzLvv4jtnDo5dzNPWR1Y2so8cJfnr+Th2fQHXoUOkDkdmZu4ad571f5YdN3cwJmQMKmXhb3Wr69TG7pmnSV27DtchQ1Co1YXe92TCSQBaVrH8emSTXk/qipXYNmuGbUj5KA2R/TebGjXw+WwGd9+bSNK8r/H6YLLUIZUqfUwMUQMGYrh3DwQBCnlhIGg0KOzsUNjZorCzQ2lnf/97OxT29g+eUzoWr194xU2S69cHQUAXEVEJk+TjqIOCKn1/5MKycnOj6k+riBnxDnETJmDSzsD5pZekDktWCPqYGOImTsQmMBCfzz+Xy4sqqN6BvdkXvY+DsQfpVLVTkfZ1GzaM6IGDyNi2HZfXXi30fifiT2CvsifILaio4Za5jO3bMSQl4fPFF1KHIjMjp27dyD1zltRVq9A0DsHx+eelDqlU5MfFET1oMKJOR/VfN6OuUweTXo8pOxuTVvv//+5/b3zw/b+fM2m15Ccl/u05UacrdmwVNklW2ttjXb262TpclBfGbC2558/jNnSo1KGUK0pHRwKW/Ujs6DHET5mKKTtbbsRv4Uw5OcSOGg2A3+JFKGxtJY5IVlraVGmDp60nW65vKXKSbNusGeoGDbi3cgXOfV9GUCoLtV9YfBhNvZtipbDsj0nRZCJ1+QrU9etj17aN1OHIzMxz8iRyL14k/qMpqGvXxrpaNalDMqv8xESihgzFmJVFwKqVqOvUAQr6nStcXcHVtcTnEA0GYt59F65eKfK+FbYmGQpKLsw1ea+8yDl5EgwG7Cxk1b/yRGFri9+S73B4/nkSv5pJ8qLFRVoSV1Z2RFEk/uNp5F27hu/cuVgHBEgdkqwUKRVKetXqxbG4YyRoE4q0ryAIuA0dSn5UNFn79hdqn9isWGKyYspF67fc8HD0d+7gMnCAfCelAlJYW+M3/2sEpZLYseMwlWBU1NIYkpOJHjwEY0oKAct+RBNUOndtBCsrnLr3KNa+FTpJ1gQHY0hMJD8pSepQyow2NBRBo0HTWK5LKw6FtTW+X8/DqXdvUr79lqSZM+Wm7hYoddVPZP7+Ox7jx2Pfrq3U4cjKQO9avRER2XZjW5H3dej0HKqAAO4tX16oC9+w+DCAcpEkp2/fjmBrW2FvxctA5etLlblzyLt2jYQZn0kdjlkYUlOJHjqU/IQE/H/8AU3DhqV6PoeOHYq1X4VOktXBwQDoKlHJhTY0FNumTVFYW0sdSrklWFnh88XnuAwcQOpPq4mf+jGiwSB1WLL7tCdOkDRnDg6dO+M2/E2pw5GVET8HP1r6tGTr9a2YxKJduApKJW5Dh6C7cIHc06efuH1YfBgeGg9qONUobrhlwpSbS9Yfu3F8/nm53KiCs2/XDvd3RpCxZQvpvxZtqXZLY0xPJ3roMPTRMfgv+Q7bJk1K/ZzFfX9U7CS5bl1QKCpNyUV+QgL6W7fkUgszEBQKvD78EPeRI8nYsoW4Ce9h0uulDqvSy4+LI27ceGxq1qDKl1/It5crmT6BfbirvcuJ+BNF3tepVy+Urq7cW7b8P7cziSbCEsJo4dPC4n+/svbtx6TV4tSrl9ShyMqA+8iR2LZqScKMz9Bdvix1OMVizMoi+s3h6G/exG/xYuxaWvbdmgqdJCtsbbGpWZPcyMqRJGuPFazOIyfJ5iEIAh6jR+H5wWSy9u4l9p13MeXkSB1WpWXS6YgZPRrRaMRv0SIUdnZShyQrYx0COuBk48TW60XvmaxQq3Ed0J/sQ4fQXbv22O2up10nVZdaLkotMrZvx6qKD7bNm0kdiqwMCEolvnPnonRyInbsOIxZWVKHVCTGbC0xw99Cd/Uqvt8sLBelchU6SYaCkgtdRGSlmIClDQ1F6eGOTe1AqUOpUNwGD8bni8/RHj9O9JvDMWZmSh1SpSOKIvHTppF3+QpV5syucDO8ZYVjo7She43u7I/eT5qu6KvoOb/2GoJGQ+qKlX97XGfQcTX1Knvu7OHHiz8C0MLHsvvM5ycmoQ0NxalHDwRFhf8ol91n5eaG74L55N+9S/xHH5Wb3MaUk0PsiBHkXryI79fzcGjfXuqQCsWye9uYgTo4iIytWzEkJKDy8ZE6nFIjmkxojx/Hrm0bi79FWB45v/QSCjs74t6fRNSgwQQs+xErNzepw6o00tasJXPHb7iPGY3Ds89KHY5MQr0De7P28lp23trJgPoDCr2fKIqkWOehe6ENpu07+OVZK64ok7mTeYe72XcR+f9ko41vG7ztvEsjfLPJ/G0HmEw49ewpdSiyMmbbuDGeE98jaeYsUleuws3CF1Ey6XTEjBxJzpkz+M6dg2OnorVxlFKFT5I19yfv5UZEVOgkOe/qVYypqXKpRSly7NIFhZ0dsaPHENV/AAErllfo3ylLoT15ksRZs7Dv2BH3ESOkDkcmsdoutXnK/Sm2XN9C/3r9/zUokJOfQ1RmFHcy73An4w63M29zJ+MOdzLvkGvIxcNL5BuTCePG7aT2qUsDjwb0rNWT6o7VqeZUjQCHAGxVlj0JThRF0rdtQ9OoETbVq0sdjkwCroMGkRt+hqR589A0bFAmk9+Kw6TXEzt6DDknwvD56kscu3aVOqQiqfBJsk2dOmBlhS4islxdvRSVNvR+PXIrOUkuTfbt2hGwfBkxb4/gTr9+VF2xQr71X0oMaWncW/o9aevXYx0QQJVZM+XbyjKgYDR5xvEZbLq2iXxT/t+S4cScxAfbCQhUsa9CNcdqNPZq/CAR1txey4tHjjNu4TKUjo4S/p8Ujy7yEvobN/H+9BOpQ5FJRBAEfL78At3LLxM3bjzVt27Byt1d6rD+RtTriRs3Hu2RI3h/NgPncjjBtMInyQq1GpvAwArf4UJ7LBSbwFqovDylDqXCs23ShICfVhHz5nDu9B9A1Z9WYVOzptRhVRgmnY7U1Wu49+OPBTP3+/TGc+xYlPb2UocmsxAvVHuBOafm8NmJgp6x9ip7qjlWo5l3M6o7VaeaY7UHo8JqK/W/9te97cjt3ftI27gR9+HDyzr8EsvYvh1BpcLxhRekDkUmIaWDA34LF3Ln1deIm/g+AcuXFXpFydImGgzETXyf7L/+wuvjqbj07St1SMVS4ZNkAE1wEFl7/0QUxQpZr2vKyyMnPByX116VOpRKQxMURNV1a4kaMJDYd0dSbdMv5XJEypKIRiMZ27aTvGgRhoQE7Nu3x3PCeGwC5Ymosr+zt7ZnzQtryNRnUt2pOm5qtyL9bVfXq4dd69akrl6N66BB5aqvvKjXk7lzJ/YdOqB0cpI6HJnE1HXr4j1tGvFTppC8eDGeY8dKHRKi0cjdDz4ka+9ePD+YjGu/flKHVGyV4t6lOigYY0YG+XFxUodSKnLDwxHz8uR65DJmU6MGft8sRH/3LnETJyIajVKHVC6Jokj24cPc7tWb+ClTsPL0pOqa1fgv+U5OkGWPVce1Ds28m+GucS/W4Ifbm8MwJqeQuWNHKURXerKPHMGYloZTL3nCnqyA80t9cHr5Je4tWUr24cOSxiKaTMRP/ZjMnTvxmDABt8GDJY2npCpHkvxg5b2KWXKhDQ0FlQrbZnKvzLJm26QJ3lOmoD18hOSF30gdTrmTezGC6MFDiHnrbUz6PHwXzKfaxg3y77Ks1Nm2aoVN/XrcW7GyXC09n7FtO0o3N+zbWn6PWVnZ8Z46FZu6dbn7/iTJBgRFUSRh+gwytm7FfdQo3N8qf6VM/1Q5kuTagQgqVYVNkrNDQ7Ft1EhellQiLq+9ivMrr3Dvhx/I/OMPqcMpF/QxMcRNeI87ffuSd/06XlOnUvO333Ds0qVClkTJLI8gCLgNG4b+1i2yDx6UOpxCMaSlkXXwIE4vdkNQqaQOR2ZBFGo1fgsXIBqNxI4bX+YrxIqiSOIXX5K+cSNuw4fjPvLdMj1/aakUSbJgbY1N3brkRkRKHYrZGVJTybt0Gbs2cqmFlLymTkETEsLdj6agu3pV6nAsliEtjYQvv+Rm125kHTiA2zsjqLl3D679+yGUo7pQWcXg2LkzKl/fJy5VbSkyd+2C/Hx5GWrZI1lXrYrPV1+iu3iRpJmzyuy8oiiSNGcuaWvX4jpoEB4TxleYwY5KkSRDwaIiusjIcnVbrTC0x48D8lLUUlNYW+O7cAFKBwdiR47CkFb01cAqMlNuLinf/8DNTs+TtnYdzr16UXP3brlrhUxSgpUVroMHk3vmDDlnzkodzhNlbN+BTZ06qOvVkzoUmYVy7NQJ1yFDSFu/noydv5fJOZO/+YbUFStweeMNPD+YXGESZKhESbImOBhTVhb50dFSh2JW2tBQFE5OqIOCpA6l0lN5euK36BsMiYnETZiAaDBIHZLkRKOR9F9/5WaXF0iePx/b5s2psWM7Pp/NkNsVyiyC80t9UDo5cW+FZY8m5926he7CBXmFPdkTeU4Yj6ZJE+KnTePeipVk7duH7upVjNlas58rZckS7i1ZinPfl/GaOqVCJchQSVrAwf9P3suNiKwwiz+Ioog29Dh2LVpYTG/Eyk7TsCHen35K/JQpJM2dh9cHk6UOSRKiKJJ96BDJ8+aRd/0G6oYN8J03F9umTaUOTSb7G4WtLS79+pGyZAl5t25hU6OG1CE9UsbWbaBU4tT9RalDkVk4QaXC9+uviR44kKTZs//2nNLFBZWfH9b+fqh8/VD5+2Ht54fK3x+Vt3eRat3vLV9O8sJvcOrZE+/p0yvkYk+VJkm2qVkTwcYG3cWLOL3YTepwzEJ/+w6G+Hjs3n5b6lBkD3F+qQ+6y5dJXbUKdf16OPXoIXVIZSr34kWS5swl5+RJVFUD8F24EIfnO1W4EQZZxeHSvx/3li8ndeVKfD77TOpw/kU0Gsn47Tfs2rbBysND6nBk5YDKy5Mau//AlJGBPiaW/LhY9DEx5MfGkR8TQ25kJJl7/4SH73gqFKh8fFD5+aHy88Xa3x+V7/2E2s8Ppdv/9yNPXb2apDlzcezaFZ8vv6iQCTJUoiRZsLJCXa8euZEVp8PFg6Wo5Ul7Fsdr8iTyrl4l/uNpWNeoiSa44pfD6KOjSZo/n6w/dqN0dS1YZemVV+RZ+DKLZ+XqilOf3mRs/hX30aNReVpWKVBOWBiGhAS8Jr0vdSiyckQQBJTOzmicndE8Ffyv50WjEUNiYkESHRuLPvZ+Eh0bS/bhwxiTU/5+PI0Gaz9frDw80IYex6HTc1SZNbNC38muNEkyFJRcpG/Zgmg0VogXVRsaisrfH2t/f6lDkf2DoFLhu3ABt19+mdjRo6m+eRNWbm5Sh1VqdNeucafvK6BQ4P7uu7gOHYrS3k7qsGSyQnMbPJj0jb+QtmYtnu9NkDqcv0nftg2FgwP2HTtKHYqsAhGUSlRVqqCqUgVaNP/X86bcXPLj4tDHxpL/IJEu+OrUpw8+n35S4QdBKlmSHIS4di3627exqVVL6nBKRMzPJycsDMcX5fo0S2Xl6orfokVE9etP3NhxBKxcUWH/oCTNnoNgY0ON7dtQ+fhIHY5MVmTWVavi8PzzpG3YgNvbb1vMRZ4xW0vWn/tw6t4dhY2N1OHIKhGFRoNNrVrlPl8qiYpZRPIYmgeT98p/yUXuxYuYtFq59ZuF0wQF4fPZZ+ScPk3iVzOlDqdUZB85ivboUdzfeUdOkGXlmtuwoZiyskjftEnqUB7I2rsXMTdXXoZaJpNApUqSratXR7C1RVcBFhXRHgsFhQK7li2kDkX2BE7dX8R16FDS1q8nffNmqcMxK9FoJGn2bFT+/rj0e0PqcGSyEtE89RS2LVqQumJFqbTLKo6M7dtRVQ1AExIidSgyWaVTqZJkQalEXb9ehVieWhsaijo4GKWTk9ShyArBc8J47Fq3JmH6DHLPnZM6HLNJ//VX8q5fx/O991DIK+bJKgDPCeMxpKSQ8u23UodCflwcOWFhOPXsKXeHkckkUKmSZABNUDC6y5fL9UIPxqwsci9cwK51K6lDkRWSYGWF79fzsPL2Jnb0GPKTkqQOqcSM2VqSv1mEpnFjHDo/L3U4MplZaBo2xLlvX1JXr0Z39ZqksWTs2AGAUw+51EImk0KlS5LVwcGIeXnk3bwpdSjFlnPyJBiNcj1yOaN0dsZv8WKMWi1xnaV8QAAAIABJREFUo8dg0uulDqlE7i1fhjElBa/Jk+RRLlmF4jF+HEpHRxKmT0c0mSSJQRRFMrZtx7ZZM6z9fCWJQSar7CphklzQr7Y8l1xoj4Ui2Npi26iR1KHIikhdpzZVvvqK3PPnSZgxA1EUpQ6pWPITEkhduQrHrl3RNGwodTgymVlZubjgOXEiuWfOkLFtuyQx5J47hz4qSp6wJ5NJqNIlydZVq6Kwty/XHS60oaHYNmuKINeAlkuOnZ/HbcTbZGz+lfQNG6QOp1iS5y8AkwmPCZbVT1YmMxen3r3QNG5M0pw5GNLSyvz8Gdu2I6jVOHTuXObnlslkBSpdkiwoFKiDgspth4v8u3fR37mDvVxqUa55jB6N/TPPkPDFl+ScPi11OEWSGxlJxvbtuA4cIN8GllVYgkKB9yefYMzMLLgoLEOmvDwy//gDh06dUNrbl+m5ZTLZ/6t0STKA5qlg8q5cQSyHNaEPlqKWk+RyTVAqqTJnNtZ+fsSOHUd+fLzUIRWKKIokzZqN0sUFt7ffljocmaxUqevUxnXgQNI3bSrTrjTZBw5gyszEqadcaiGTSalSJsnq4GDE/Hx0169LHUqRaUNDsfL0xLoSr4BTUSgdHfH7djGiTkfsqNGYdDqpQ3qi7AMHyDl5EvdRI1E6OEgdjkxW6txHjsTK05P4GTPKrCtSxtZtWHl5YdeqZZmcTyaTPVqlTZKBcldyIZpMaI+fwK5VK7mbQAVhU7MmVebMQRcZSfy0aRY9kU/Mzydp9hysq1fH5ZVXpA5HJisTSns7vD78kLxLl0n7ufTnEBhSUsg+ehSnHt0RlMpSP59MJnu8Spkkq3x9UTo5lbsOF7rLlzGmpWHXRi61qEgcOrTHfcxoMnf8Rtrq1VKH81hpG39Bf+cOnu+/j6BSSR2OTFZmHDo/j13btiQvXFjqPc4zdu4Eo1EutZDJLEClTJIFQUAdHExuZPlKkh/UI7eSFxGpaNxHjMCh03Mkzp6D9vhxqcP5F2NmJimLF2PbogX27Z+VOhyZrEwJgoD3x1MR9XqSZs0u1XNlbN+BOjgYG7mkTiaTXKVMkqGg5CLv2nVMeXlSh1Jo2tBQbGrXxsrDQ+pQZGYmKBT4fDUT6+rViBs/AX1srNQh/U3K999jzMiQFw6RVVrWVaviNnw4mb//XmoXsrqrV8m7fBmnXr1K5fgymaxoKnGSHAQGA3lXrkgdSqGYdDpyw8/IXS0qMKW9Hf7ffotoMhVM5MvJkTokAPSxsaStXoNTr16o69eXOhyZTDJubw1HFRBAwozPSmXFzIyt20ClwrFbV7MfWyaTFV2lTZI19yfvlZdFRXJOhyPq9XI9cgVnXbUqvvPmkXftGnHvT0LMz5c6JJK//hqsrPAYN1bqUGQySSlsbPD+eCr627dJXbHSrMcWDQYydu7E/pmnsXJxMeuxZTJZ8VTaJNnK2xulm1u56XChDQ1FUKmwbdpU6lDKnQNXkhi04iRJmZbfYg3Avl1bvD76iOz9+7k7eXKZtZ16lNxz58jc9QduQ4ag8vKSLA6ZzFLYt2uHQ+fOpCxZYtayKO2xYxhTUnCWSy1kMotRaZPkgsl7QeWmw4U2NBRN48YoNBqpQylXYlJzGLPhLIeuJTNg+UnSc8rHAjKu/fvhOWkSmbv+4O5HHyEajWUegyiKJM6chdLDHbdhQ8v8/DKZpfL68ANQKkn84kuzHTN92zaUzs7YP/202Y4pk8lKptImyQCaoGDybt6UtPZzc3gsX+66THxG7mO3MaSkkHflilyPXET5RhNjN5wFEWa/1IDbKVqGrDpFjl66kdmicBs6BI/x48nc8RvxUz9GNJnK9PxZe/aQe+4cnmPHorCzK9Nzy2SWTOXtjceoUWQfOEDW/v0lPp4xM5Ps/X/h2K0bgrW1GSKUyWTmUKmTZHVwMJhM6CSavHcvO4+Pt0Xww+FbPDP7IB9vi+Bu+r+TZe3xE4C8FHVRzf/zGmei0/myz1O80syfRW+EcD4mnbfXhJNnKPuR2eJwf/st3EeNImPrVhI++bTMEmWTXk/S3HnY1KmDU+/eZXJOmaw8cR3QH5vAQBK++KLEAy2Zf+xG1OvlrhYymYWp3ElyUBCAZCUXy47eRmcw8tPQ5rzUxI8Np6J5Zs4Bpmy9SGza///R1YaGonRyQl2/niRxlkdHriez5NBNXm/uT/eGVQDoHOTNzJcacOR6CuM3nsNostzV7R7mPvJd3Ea8TfqmTSR+/kWZrMqXtnYd+bGxeE56X171SyZ7BEGlwvvTTzDcjSdlydISHStj2zasa9Ys6Lokk8ksRqGSZEEQugiCcFUQhBuCIHzwiOfnC4Jw7v6/a4IgpJs/VPNTeXli5ekpSYeLNK2e1aF3eLFBFZ6p7cFXfZ7i4PvtebWZP5tOx9J+7kE+3HKB6HtatKGh2LZqJScrhZSclcf4jeep5WHPtBf//qHzSlN/pnarx66LCUzZetGil4H+H0EQ8Bg7FtdhQ0lbv56kmTNLNW5DWhopS5di93Q77Nu0KbXzyGTlnW2TJjj16cO9lSvJu3GjWMfQR0WRe/YsTr16yj3IZZXaxdgMRq47Q1KW5Uyyt3rSBoIgKIFvgU5ALHBKEIQdoihe+t82oiiOf2j70UBIKcRaKtTBwZJ0uFh29BY5+UZGd/j/VZV8nTV83usp3n22FksP3WTDyRiO/xXOksRE8ho2KfMYyyOTSWTCL+fI0uWz7s0WaKz/fWHxZrsaZOTms+ivGzjZqvjwBcsfoRcEAc+JExHz80n9aTVYWeE5cWKpfKimfLcEU3Y2Xu+/b/ZjVwaiKHIhNoNgXyeUCjnpqeg8J75H1v79JMz4jICfVhX5PZmxfTsIAk7du5dShDKZ5RNFkSnbLnIhNoPo1Bw2vNUSO5snpqilrjAjyc2BG6Io3hJFUQ9sAP5rUfnXgZ/NEVxZUAcHob99G2N2dpmdMz1Hz0+hUXQN9qG2l8O/nq/irGFGz2AOT2rPcNtkAPqfg4mbznMnRVtmcZZHPxy5xZHrKXzSPYg63v/+2f7PhE61GdCyKt8fusWSgzfLMMLiEwQBrw8/xOWN10ldvoLkb74x+znybt8m7eefce7bF5vAQLMfvzL44fAten57jDl7rkodiqwMWLm64jlhAjknT5K5c2eR9hVNJjK2bceuVStU3t6lFKFMZvl2XUzgQmwGLzfx41J8Ju+uO0O+sWwnqz9KYdJ0XyDmoe9jgRaP2lAQhKpAdeCvxzz/FvAWgIeHBwcPHixKrKXCWhRxEUVOrF9Pfu3aZXLOLdf1ZOcZaOmY/sSfQdDt0+jdPXiqrgfbz8ay5UwsrXys6F5ThbeddCXl2dnZFvH6PexGupE5YTqaeSvxybnJwYO3/nP79k4i132UzNp9hcSYWzzrryqjSEuobVscomNgyVKiYmPRdutWpN3/67VzWrIUa6WS600ac9XCXt/y4EqqkdmndNip4PtDN3HKiaOem3nLpCzxvVfpebjjWq0aMTM+45xSiWhr+8jN/vnaqa5dw/XuXVI6d+aW/JpaPPm9VzoMJpEZR3PxtRfo6p6KQz0VKyOTGfrdnwwNtpa2DEkUxf/8B7wMLHvo+wHA4sdsOxlY9KRjiqJI7dq1RUuQf++eeKlOXTFl+YoyOV+6Vi8GT9stjlhz+onbmvR68UpIY/HuJ5+IoiiKiZm54me/RYp1pu4Sq3+wUxy34ax4PTGrlCN+tAMHDkhy3sdJz9GLbWbuF9vM3C+m5+gLvZ/eYBQHrwgTq32wU/ztfFwpRmheJqNRjPvgQ/FSnbpi8tLvi7Tv41677LCwguMtWWqGCCufxIxcsclnf4rt5xwQEzNzxfZzDogtv9wnpmsL//tYGJb23pMVyImIEC/Vqy/GT5/x2G3++drFffiReCWksWjUaks5Opk5yO+90rH6+B2x6uSd4r5LCQ8em7f3qlh18k5x3t6rZjsPcFosRH768L/CDEXGAf4Pfe93/7FHeY1yVGoBBbfKVFWqlFmHi5Wht8nKMzC6w5NvZeeeP48pJ+dB6zdPBzVTX6zPkUkdeLNdDXZHJNBp/iHG/HyWG0lZpR26xRJFkY+2XCQhQ8c3r4fgpCn8iLBKqeC7fk1oWtWF8RvPcehacilGaj6CQoHP55/h2L07yfPnc6+ES+SKJhNJM2dh5eOD6+BBZoqy8jAYTYz6+SzaPANL+jfB00HNgtcakZyVx0fbyscEUVnJaIKCcHnjDdJ+/pncQsxzMeXmkrV7Nw5duqB4zMizTFbRafMMLNx3nebVXOlQ1/PB4+OfC+SVpn58s/86P5+Mliy+wiTJp4BAQRCqC4JgTUEivOOfGwmCUBdwAY6bN8TSpw4OJjey9JPkTF0+K47e5vn6XtSv4vjE7bWhoaBQYNey5d8e93Cw4aOu9Tg6uT1vP12TfZcT6TT/MKPWn+FaYuVLln8+GcPvF+OZ2LkOjQNciry/xlrJskHNCPR0YMSacMKjUkshSvMTlEqqfPUlDi90IWn2bFJXryn2sTJ/+w3dpUt4jh+HQq02Y5SVw5w9Vzl5O5Uv+wQ/qIVv4OfM+E61+f1CPFvOPG5cQVaReIwdg9LdjYTp05+4SmbWvn2YcnJw6vVfU3xksopt+dHbpGTnMfmFun8rqxAEgS96P8UztT2Yui2Cv64kShLfE5NkURQNwChgD3AZ+EUUxUhBEGYIgtDjoU1fAzaI5XDIRB0cTH5UNMaMjFI9z6pjd8jUGRjTsXATorTHQlE/FYzS8dEJtZu9DR+8UJejkzvwzjM1OXAliefnH+bddeFcScg0Z+gW62pCFtN/i6RdoDtvtatR7OM4aVT8NLQ5Xo42DFl5isvx5ePnJ1hZ4Tt7Ng6dniPxyy9J+7noN3JMubkkzV+AOjgYxxdfLIUoK7Y9kQl8f/gW/VoE0DvE72/PjXimJs2ruzJtewTR96Rb2VNWNpQODnhN/gDdxYukb9r0n9tmbN2GqkoVbJs2LaPoZDLLci87j+8P3aRzkBdNqv57gKvgTm9j6vs4MnLdWc7FlH134ULN/BJFcZcoirVFUawpiuIX9x+bJorijoe2+VQUxX/1UC4PNPcbuOsiS68VXJYun+VHb/NcPU+CfZ2euL0xM5PcixcLtcqeq501k7oUJMuj2tfi8LUUuiw4wttrTnMmOs0c4VukXL2RUevP4KBW8fUrjVCUsN2Wh4MNa4a1wNbaioErThJ1r3x0EhFUKnznzcO+fXsSps8gffPmIu2f+tNPGBIS8Jo8CUFRqdcXKrI7KVom/nKeBn5OTOte/1/PKxUCX7/SEIVCYNzGsxgsYLa2rHQ5duuKbcuWJH09H0NKyiO3yU9MRHv8eEFvZPk9J6ukFv11g9x8I+93rvvYbexsrFgxuBkeDjYMXXWqzDt8ye9O/n/lvcLUkRXX6uNRZOTmM7Zj4TpoaMPCwGTCvghLUbvYWTOxcx2OTe7AmI6BHL95jz7fhfLSklB2R8SXmxXmCmvGzkhuJGez4NVGeDjYmOWY/q62rBnWHIPRRP/lYSRmWk5T8/8iWFvju3ABdu3aEf/xNNK3bivUfobkZO798CP2z3XEtlmzUo6yYsnVGxmxNhylUuC7fo2xsXp0Fws/F1s+7xXMmeh0Fh8o3oITsvJDEAS8p31ccIdmztxHbpOxYweIIk495VILWeUUk5rDurAoXm3mTy1P+//c1sPBhlVDmiGKIoNWniQlO6+MopSTZACUTk6oAgJKbfJedp6BH4/cokNdT57ye/IoMhTUIwu2tmgaNizy+ZxsVUzoVJvjH3bkk+71ScrSMWLtGTrMO8hPoXfI0RuKfExL89v5u/x8MoZ3nqlJ20B3sx470MuBVUOak5qtZ8DyMNJz9GY9fmlRWFvjt+gb7Fq1JP6jj8j47ck9W5MXLcak1+P53ntlEGHFIYoiH2+P4GpiFvNfbYSfy39PvOrZyJfeIb4s+usG4VEV9+6OrIBNjRq4DR1KxvbtaE+e/NtzoiiSsW07mpAQrKtWlShCmUxa8/ZeRakQCj1wWMPDnuWDm5GYqWPYqlNllsfISfJ9muCgUkuS1xyPIj0nv9C1yFCQJNs1a4ZgbV3s89rZWDGkTXUOTmzPkn6NcbOz5pMdkbT66i9m775SbkZJ/yn6Xg4fbblI44CCiVGloaG/Mz8ObMqdlBwGrzyFNq98XFgo1Gr8vv0W22bNuPvBB2Tu3v3YbXXXrpG+eTMur7+OTfXqZRhl+bfxVAybw2MZ3b4W7et4PnkHYHrPILwd1YzfeI7scvL7JCs+9xFvo6pShYQZMxDz8x88rouIRH/zJk69ekkYnUwmnYi4DLadu8vQNtXxdir8RPHGAS4ser0xF+MyGLW+bMrX5CT5PnVQMPl372JINW9nA+39UeRnanvQyN+5UPvoY+PIj4rGrk3hSy3+i1Ih8MJTPmx5tw2/vtOa1jXdWHroJm1n/cWEX86Vm0lqAHqDidEbziIIsPC1EFTK0vsVbl3LnUVvhHAhNp2314STZ/jv2eqWQqHR4L/kOzSNGhE38X2y9u175HZJc+aisLfH/d13yjjC8i0iLoNpOwomi459rvAXaY5qFQtea0RsWg6f7ii90i6ZZVBoNHhNnYr+xk1SV69+8HjGtm0I1tY4vtBFwuhkMunM3nMVZ1sVbz9Ts8j7dqrvxYyewfx1JYmPt0eUentNOUm+Tx0cDJh/8t66sChStfoijiIfAyjUpL2ialLVhSX9m3BwYnv6tajK7ogEXlh4hP7Lwjh4Ncni+7nO23uV8zHpzHqpAf6upd9btHOQN7NeasDRGymM23Cu3NR1K+zs8P/+ezRBQcSOn0DWgQN/ez776DG0R47gPmIEVi5Fb5tXWWXk5PPOunDc7KxZ8GojlEWcLNqsmisj29dic3gsv1+IL6UoZZbCoUN77Dt0IHnxt+THx4PBQObvv2PfscNjuxbJZBXZsRspHL6WzKj2tYq0psHD+resysj2Nfn5ZAyL/irdeR5yknyfOqhgZro5Sy5y9UZ+OHyLdoHuj2xv8jja0ONYeXpiXbPoV1mFFeBmy6c9gjj+QUcmdanD9aQsBq88RecFh/nlVIxFjpoevJrE94dv0b9lAC885VNm5+3b1J+PX6zPHxEJfLSl/CwMobS3w3/Zj6jr1CFuzFiyjxwteMJkImn2bFT+/rj07ydtkOWIySTy3qZzJGTo+LZfY9zsizdZdEzHQBr6O/PR1ovEZ+SaOUqZpfGe8hGIIolffolNRATG9HSc5VILWSVkMonM/OMKvs4a+rcsWT3+xOfr0KexL1//eY1fTseYKcJ/k5Pk+5T29lhXr27WDhfrwqJIydYztgijyKLJRM7x49i1bl0m65U72ap499laHJnUga9faYhSoWDSrxdoM/MAi/ZfJ1VrGZPWkjJ1vPfLeep6OzC1279bbZW2YW2rM6ZDLTaejuGrP66Un0TZwYGA5cuwrlWL2FGj0B4/jiY0lLxr1/B8bwKKEtS8/4/JJLLpdAydvj5Ej8VHeXddOF/uusya43c4cCWJ64lZ5Oot76KrqJYcusm+y0lM6VqvWIvW/I9KqWDBq43IN5qYsPE8pnJyd0JWPCpfX9zffZesP/dhv/lXlO7u2LVpI3VYMlmZ2xURz8W4DCZ0qo1a9ehuQIUlCAIz+zSgXaA7H265yIGrSWaK8u+sSuWo5ZQ6OJicf8xELi5dvpGlh27RuqYbTau5Fn6/S5cxZmSYrR65sKytFPRp7EfvEF9Cb97jxyO3mPfnNb49eIOXGvsxrG11anj8d5uW0mI0iYzbeI4cvZHFb4SU+M1VXOM71SY9N58fDt/C+f7FRXmgdHIiYMVyogcNJuadd7G3skITEoJD584lPnZEXAYfb4/gbHQ6T/k64WxrzZWELPZdTkJv+PukCnd7a3xdbPFz0eB//6ufiwZ/V1t8nTWSva6FEXozhXl7r9K9YRUGta5W4uNVd7fjk+71mfzrRX48cqtYtXmy8sNt8CAytm2DW7dwGjwYwUr+6JVVLvlGE3P2XKWutwO9QnzNckxrKwVL+jfh1e+PM3LdGTa81ZIGfoWb+1VY8jv1IZrgIDJ/+438pCRUnoWbsf4468OiScnO49s3Qoq0nzY0FAC7Vq1KdP7iEgSBNrXcaVPLnWuJWSw/cptNp2NZfzKajnW9GN6uOs2rFz7pN4elh24SevMes19qQC1PhzI998MEQeDT7kFk5OYze/dVnDQq+rUoHy2crFxcCFi5gqiBgxBv3ixYOKQEdyrSc/TM2XOV9SejcbOzZm7fhvQJ8X2woIvJJJKSnUdMWi6xaTnEPvT10t1M/oxMRP+PmckeDjb4u2jwe5BA2+LvWvA1wNW2yPW/5pKQoWPMz2ep7m7HzD5Pme0OzytN/TlwJZm5e6/SppZ7oRYZkpVPgrU1PtM/5dao0Ti/0lfqcGQSS9PqCY9KIzw6jfCoNJIydfw4sCmBXtJ9vpW2DSejibqXw8rBzcz6t9zexoqVg5vR+7tQhq46xZZ32hDgZr75SnKS/JCHJ++VJEkuGEW+ScsarrSo4VakfbWhodjUqYOVu3l7/xZHbS8HZr3cgImd67Dm+B3WnIhi3+VEGvg50dAxn3qZOrwcC9++pThO30nl6z+v0aNhFfo29XvyDqVMoRCY27chWToDU7dF4KhW0b1hFanDKhQrNzeqrVvLic2bqdeoUbGOYTSJbDwVw5w9V8jUGRjcuhrjnqv9rwkYCoWAp6MaT0f1I+vxTSaRpKw8YtNyiEnLITY1l9i0XGLScjgXk86ui/EYHipDqOFhx9Ru9Whfx7NMypD+J99oYtT6M+Tojfw8vCV2Nub7kykIAl/1eYouC9MYu+EsO0e3Q2MtzWh6XHouUSlaWtV0K9Ofb2Vi26wZKbNmElyjhtShyMqQySRyKyWb8Kg0Tt8pSIxvJResGmelEAjydSJLZ2D46tNsH9kWJ9viTWazZNo8Awv3X6dFdVeereNh9uN7Oqr5aWhzXl4ayqCVJ/n1nda42pW8lBDkJPlv1PXqgUKBLiISh/bti32cjadiSMrKY8FrRUtETLm55IaH49K/f7HPXRo8HGyY8Hwd3nm2FlvOxrLq2B3WXNKz9vJ+Gge40CXImy7B3mbvNpGeo2fMz2fxc9HwRe9gi/nwVikVfPtGYwatOMn4jecQBHixQflIlJXOzuTXKl6ZyNnoND7ZEcmF2AyaV3Nles8g6vkUb4a+QiHg7aTG20n9yHIko0kkIVNHbGoOt1K0/Hj4FkNXnaZdoDsfv1if2mU04jLrjyucjkrjm9dDSmWUx8XOmnl9G9F/eRhf7rrMZ72CzX6O/2Iyiaw+fofZe66SozfyTG0PpvcIopq7XZnGIZNVFLl6I+di0jlzf5T4THQa6TkFfbJdbFU0qerCy038aBLgQkN/Z9QqJafvpPL6jycY9fMZVg5uhlUptjaVwrIjt0nJ1vPDwLql9jley9OeZQOb0m9ZGMN+OsX6N1uaZdBBTpIforC1xaZmzRJ1uMgzGFly8CbNq7nSqoijyDmnwxHz80ul9Zs5aKyV9GtRlX4tqrJu51+kavzZHZnAF7su88WuywRVcaRLkDcvPOVd4rIIURSZtPkCydl5/PpOaxzUlnV1rbFWsmxwU4asPMWo9We5npjN2I6BD8oNKpJ72XnM3n2Vjadj8HSwYeFrjejRsEqpXrQoFQK+zhp8nTW0qOHGy038WHM8igX7rvHCwiO80TyA8Z1qm2204FF2XYxn2dHbDGpVlR6leLegbaA7b7atzrKjt3m2jgcd63mV2rkedjM5m8mbL3A6Ko1nanvQuqYbi/+6wfMLDvPOMzV559maFl0nLpNZgviM3AejxGei07h0N/PBXbBanvZ0ru9Nk2ouNKnqQg13u0f+3WxazZUZPYP5cMtFZu+5ykdd65X1/0apScnO44fDN+kS5F2iCc+F0bSaKwtfC+GddeGM2XCWpf2blLi0Q06S/0EdHEz2kSOIolisJOCXUzEkZOqY90rDIu+vDQ1FUKmwbdqkyOcta772Cvo9G8jojoFE38thT2QCf0TEM+/Pa8z78xo1Pex4IdiHLsHeBFVxLPLPYs2JKPZeSmRqt3pmL8Q3F0e1ivXDW/DRlggW7r/O9aQs5vZtiK11xXhbGU0i68KimHt/lPGtp2swukMtSS5YVEoFQ9tWp3eILwv2XWNtWDTbzsUxtmMgA1tVw9rKvCMvt5KzmbT5Ao38nZlSBt1U3u9Sh6M3Upi0+QK7xz2Nh0Px2ssVRr7RxA+Hb7Fw/3U0KiXz+jakT2NfBEGgd4gvX+y6zML919l6No7pPYJoX7dk8zNksn+KSc3h1zOxDG1bHUcLGwD5L0aTyMXYDMKjUgmPTif8Tip3MwpWrlWrFDT0c+btZ2rQpKoLIf4uuBThIv715gFcjs/kh8O3qOfjQO8Q6csLzWHxXzfQGUy836VOmZyvS7A3n3YP4pMdkXyyI4LPepbsLnTF+DQ3I3VwEBlbt2JITETl7V2kffMMRr47eJMmVV1oXbNoo8hQkCRrmjRBodEUeV8pBbjZMvzpGgx/ugaJmTr2RibwR0QCSw7dZPGBG/i5aB6UZDQOcHniaGvk3Qw+33mZDnU9GdbWspdLtrFSMrdvA+p6O/DlH5eJupfDjwObUsW5fL2G/3T6TirTtkdyKT6T1jXdmN4jyCImlbjYWTO9ZzD9W1bls98v8/nvl1kXFs2UrvXoWM889co5egPvrD2DSinwbb/GZk/AH8XGSsk3r4fQfdFRJm0+z4rBzUplpD7ybgaTNl8g8m4mXZ/yZnqP4L8l5J6Oaha+FsKrzfz5eFsEQ1adonOQF9O6B+Fbzn+nZZbhQmw6Q1edJiU7jwNXk1k9tHmxF5UoKyaTyJe7LrP6eA76vQX95r0d1TSp5sKbAS40reZCPR/HEq9prwoxAAAgAElEQVQA+/GL9bmakMXkXy9Sw92ehoVcpddSRd/LYV1YFK809admGXbHGtS6Gnczcvn+0C18nDSMbF/8TlQVqvDFYDRx6FpyiY6h+d/kvWKUXGwOjyU+Q8fYjoFF/oAzpKSQd/WqxZZaFJaXo5oBraqxfnhLTk15jtkvNaC2lwOrj0fx8tLjtPhqP1O3XeTo9RTyH7HuujbPwOifz+Jip2LOyw0spg75vwiCwPCna7BiUDOi7uXQY/ExwqPSpA6rWJKydEz45RwvLz1OWo6eb99ozLo3W1hEgvywQC8HVg9tzsohzVAI8Obq0wxYfpIrCSVbYl0URaZujeBaUhYLXwsp08SwtpcDH75QlwNXk1lzIsqsx9blG5m75yo9Fx8jMTOPpf0b812/Jo8dsW5d050/xj7N5C51OXwthefmHWLJwZv/ausnkxXFvkuJvPr9CWysFHzSvT6X7mYwYHkYGfdrdi2RwWhi4qbzLDt6m8aeBRezxz7owImPOvLtG40Z2rY6DfycS5wgQ8Eds+/6NcbD3oa31pwmKVNnhv8D6cz78ypKhcC45wq/VoS5TO5cl16NqjBnz1W2nIkt9nEqVJL888loBq04ycw/rhS7Qb9NnTpgZUVuEZNkvcHEdwduEhLgTLvAonem0B4/DpTOUtRScbWz5pVm/qwY3Izwj59j4WuNaFbNhV/D4+i/PIxmX+xj4qbz7LuUiC6/YLGJT3ZEcjtFy4JXQ4q9oplU2tf1ZOu7rbG1VvL6Dyf4Nbz4b8yylm80sfzobTrOPcRv5+/y7rM12f/eM3Rr4GPRFyrt63iye9zTfNq9PhfjMui68AhTtl7kXnZesY63/mQ0W87GMa5jbZ6ubf5Z2E8yqHU1nqntwRe/X+Z6YpZZjhkelUq3b46w+MANeoX4sm/C03QJfvKKldZWCt55tib73nuGp2u7M2v3Fbp+c4TQmylmiUtWufwUeoe31pwm0MuerSNbM6RNdZb2b8KV+Cz6LT9Beo5lLFz1ML3BxJgNZ9lyNo4JnWrzdgMbejSsUqoXz272NvwwsAmZuQZGrA23yNVvCyMiLoPt5+4yrG31Uu+C9SgKhcDslxvSuqYbkzZf4Mj14g2gVqgk+bXmAfRvGcDSQzd5e2042jxDkY+hUKuxCQxEd7FoSfKWM7HEpecyphijyADaY6EonZ1R1684BfsPc1Cr6NnIl+/6NeHMx534fkATOtTxZE9kAm+uPk2Tz/5kwPIwNofHMrpDIK2KUa5iCQK9HNg+sg2Nqzrz3qbzfPXHZYwWvqLa8Zv3ePGbo3y28xIhVV3YM+5pJnWpW25qq1VKBYPbVOfQ+88ysFU1NpyK4dk5B/nx8K0ijXxeiE1n+o5LPFPbg9EdpFkoRhAE5vRtgJ2NFWM2nCvRB6Q2z8CnOyJ5eelxdPkmfhranLl9G+JsW7TJjr7OGr4f0JSVg5uhN5h448cwxm44W+5HuWRlw2QS+XznJT7ZEUmHup5seKslng4FSVPHel58P6AJ1xKz6bcsjDQLWeEVCu6+jFgbzq6LCUztVq/Yn+3FEVTFibl9G3ImOp1p2yLLzQqvD5u1+wrOtipJF0qytlKwdEATannaM2JNeLGOUaGSZJVSwee9nmJ6jyD2X07kpSWhxKblFPk4muAgdBERhf7FzDeaWHzgBg39nHi2GKNPoiiiDQ3FtlVLBEWFekkeSWOtpHOQN1+/2ojwqZ34aWhzejSqwqW7BfWvYyRKUMzFxc6aNcNa0K9FAN8fusXw1afJ0lne7cSEDB2jfz7L6z+eQKs38MOAJvw0pJlkKyuWlLOtNZ/2CGLPuHY0rebCF7su8/z8Q+yNTHjiezlNq+edtWfwcLBhwauNJO1S4umgZvZLDbgcn8ncPVeLdYyj11PovOAwq0LvMKBlVfaMf5pnSjgy3r6uJ3vHP82YjoH8cTGBjvMOsfLYbQyPKJuSyaAg0Ry5/syDLjHfD2j6r4vv9nU9+WFAE64nZfPGsjBSLSBR1uYZGLrqFH9dSeLzXsG82a7se1t3a+DD6A612Hg6htXHzVt+VdqOXk/hyPUURrWvJfnETEe1ip+GNi/2hPMKmZENal2NVUOaE5eeS69vi14fqg4KxpiRQX5cXKG233o2jti04o8i62/exJCU9H/t3XlclVX+wPHPAREQcGURxQCTVZbrBREk3DXLxtLRiNTMiqYxbbHSmprGsZpJK238ZZY6hZkZ5dJi1qQmuZuCoKIoqLhiAqaxyHqf3x8sAYKCstyr3/frxQvus5xz7j33gS/nnud8b6qpFvXVupUZ/T0d+PfoAPa8MoTlj/W5KdaItDA3441R/rx2b09+PpLJ6Pe3czK74f+wNYUSg8aHPx9l8Dtx/C/5HE8N9mDDtP4M69nZqKdW1FcPRzs+nhRCzKSy9UYfXxbPuCW7OJRR+3xlg0Hj2S8SOZ9TwIJx+gbdkd5Uhvg6Ma7PbSzecpxtafWf3nDpcjHTVyYx/r+7sDA344u/hDHrXj9sGykJipWFOdOGevK/Z/vRy7UD//z2oEnPwRdNJzu3kAcX7+SH5LKR2Jkje9a5HNcAL0eWPBTMscxcHly887qnSzWG3wuKeeijX9h5LJt3xgYyPrTlsqo+O8STIT6OzFp70GSmORkMGrN/SKFre2smhBlHRlqntla818DsxxVMPxqpQz9PB9ZMDsfGshVRi3ayZm/954daNeDmvZJSAws2peHftR2DrnOppIpU1La3YJBclVLqpgjSqpoQ5sYnj4RwPqeQexdsZcfR7BZrS1GJgW+SzvL3bZf59/cphN3eiQ3P9mfaUM+bcj3cAV6OfP90BLPu7cnBjN8ZMX8LL63eT1aNP8ALNqURdziTV+/xRWdEd5O/MsKX7g42PPdFUr0+hv4x+RxD5/7MqoQzPNH/dr5/OqLJUsi729uwdFJvFo7TcyGviD8v3M6MlfuMYhRQtLzjWXmMXrid5LO/8/6Deh6L6H7N3+39PB3478TeHM/K48HFu664TpvDb3lFjFu8i6RTF/m/KD1/DmrZZdjMzBTzInW429vw5PIETl0wjoGWq/lufwb7z1ziuWGeWLYynr8rtSWtqo+bNkiGsoW8v5pcNj/02dgk5vxQvxv6LD09UBYW9QqSv0o8y4ns/Buar5S3bTutXV2x6Nr1us4Xxi28hz1fPRlOR5vWTPjvLj7bdbJZ6z9z8TJv/+8wfd/cyFMr9mLQ4KOHg1kysXej5rg3RhbmZjwU5sbPzw9kYl83vtxzioFvxfHhz0cpLClla2oWczcc4T5dlxYdMaqNdWtz5j/Qi+y8Qv62Zn+dU0aycguZ8lkCjy+Lp6NNa76aHM6Ld3k3+T8+Sinu8ndm43P9+Uu/7qxKOM2gd+JY8cvJ675xWjRcqUHjzMXLRrPyyJ70C4x+fxs5BSWseDyUu/yvfZNohTs87Pn44d6cuJBH1KKdZOY0X6B8PqeABxbt5PCvOXw4IYgRAfVvd1Oys7Jg8UPBlBo0oj/Zc133WjWXohIDb/94GO/OdtyruzniGdO4M+cGVMwPffXrZN6PO0ra+VzmReqwucrHj2atW2Pp5cXlA8lXLbtiFNnXuS1DfK5vFFkrKiJv927a33fvdZ0vTIO7vQ1rngxn6md7+dua/Rz5NYdXRvg02dQSg0Fja1oWy3aeYOOhX9GAwd6OjA91xXA2mUHezZPVzVi0a2PBP/7Uk3F9XPnXukP8+/sUlu86SW5hCR6OtvxrtL9Rforh17Udzw3z4s3vU/gy/jT3B3er3KdpGl8nnuWf3yaTV1jKc0M9+Uv/25tlXeeqbCxb8dLdPvw5yIVXvjrAS6v3E7v7FK/f54df13bN2pab2cX8Io5m5nEsM5djWXkcz8zjWFYu6dn5FJUY6NLOir8OuJ2xwd1a7JOhtfvOMu2LJLq2tyZmUm9cOzU8vXnfHvZ8/HAIj8TsJmrxTj6L7lN5o19TOXvxMuOX7CLjUgEfP9yb8B4NX6GqKbnb2/B/D+qZ9PEvPP9lEgse1BtldtfPd5/kRHY+H0/qfcOZ7ozFTR8kQ9lo0r9G+eHpZMtraw8y9oMdLJl49YQPVn49+f27dWgGQ50303277yzHs/L4YHzQdf+BvZyUhJaff0vOR77VtLWy4KOHe/PvdYdYsvU4aedzWfCgnnZtGu/Ghov5RayMP82nO0+Qnp1PJ5vWPNH/dqJCbqNbx7JR47iMg41Wn6np4WjLRw/35ucjmby+9iC/5RlYOD7IqFfyiI7oTtzh88z8JpmQ8o8MMy5d5uU1B/gp5Ty6bu15a0xAi69l7elkR+zjoazZe4Z/rTvEyPe2MiHUlWnDvIw+WYSxKCwp5WR2Psey8jhWJSA+lpnLb1XWEm5lpritUxu629sy0MsR53ZWfLsvg79/ncx7m9Iqr/nmCpY1TePDzcd48/sUgl07sPih4Bua2x92eyc+ntS7LFBetJMV0aE4NtEyYiez84lavJPfLxfzyaMh9L7Oj+WbWn9PB166y4c31h3ivU1pPDW4+dcevprcwhLmb0wltHvH61rAwFgZ71+GRqaUYlK4O+72Nkz9bC8j39vGooeC6swlbu3nx8XPYyk+eZLWbm5X7C81aPzfT2l4d7ZjmO/1j8rlbtsG5ua06dPnussQpsPcTPHKPb54drbj5TX7ue/9bSx+KJgejje2osT+05f4ZEc63ySdpbDEQLBrB54d6slwv85GNS/MWPT3dOCOZ/qRX1TSImm2G8LcTDH3fh3D393M07GJBNoVM2XTZkoMBl4Z4cOkcHejGbVRSjFa78JgHyfm/niYZTtP8E3SWXTd2nNbxzZ069iG2zq24bZObejWoc1VP9G7WWmaxvmcQo5m5nIsM4/jWX8Ew6cu5FN1poqDnSXd7W0Y7teZ7va2dHewobuDLS4drK9IXjGxrxvbj2bznw2p/PPbgyzYdJQn+nfnwT63Nek/gSWlBv7xTTLLd53kngBn3h4b2CjBeWj3TsRMCuHhj3/hgUU7WfF4aKOvt5t2PpdxS3ZSWGJgeXQfAlyM556E2jwW4c7BjN+Zu/5IWezRs2FZgZvSki3HyMotYslEH6P8VO56qZZaf8/Ly0s7fPj6lje6UWnnc3gkZg/nfi/grTEBtc6dKUhJ4fh9o+jy9tu0u2fEFfu/TjzD058n8v44PXc3YM5VBa2khOzFi8lc8D5tegfj+vHH1/VcWkpcXBwDBgxo6WaYtN3pF3hiWTxFpQbee1Df4CW6CopLWbsvg2U7T5B06iJtWptzX6+ujO/jim+XtnWeJ31nmtbuO8uUz/YC0Pf2Trw5OsDo55QfOHOJD34+yvGsPE5m55NTYz6lvW3rysC5W4c2fwTSndrQua2V0QT/9aFpGrmFJWTlFpGZU0hmTiFZudW/p53NIrvQjNwqr4OVhRnu5QHw7fY2uDvY0N3eFncHm+tePmvnsWzmb0xl+9FsOtm0JrpfdyaEujb6PyUVGVJ/SjnPE/1vZ/qdXo0+DWBP+gUmfvQLjm2tWBEdSud2jRMoH8r4nfFLdqEUfPpYH7w71/07s4Ix/O4sKC7l/g93cPR8LmueDMfTCLKhZuYUMuCtTfT3cuD9cUEt3Zw6KaXiNU0LbtA5t2KQDGV3sT7xaTy7jl9gysAeTBvqWe3i1oqLORzcmw5RUTi9OKPauaUGjTvf3Yy5Unz/dESDfykUnTjB2ekzuJyURNsRI+j86t8xb2dac/eM4ZfFzeD0b/k8tnQPR37N4eURvjwS7nbN/8JPZOexfNdJvthziov5xfRwtGVCqCuj9F3r9UdV+s50LdlyjIwTR3ll3BCTG63RNI1Ll4s5eSG/8utUlZ/PXiyolnjHwlzh0qFi9Nm6bAS6PIju1rFNs62/ml9UQlZOEZm5BWTmFJGZW0hWTiGZuVcGwgXFV948Z26m6GTTGntbS1oV56H37FY2IlweGHdua9Vk80t3p19g/sZUtqRm0aGNBY9FdOehMNdG+fTk198LeCRmN4cyfue1+/wY16fpbnyNP3GBiR/tppNta1ZEh151qmR9JJ66yMSPfsHawpzl0X24vZ5rwxvL785zlwr403tbadPanK+fDG9wgqDG9o+vD/DprpOsf7afUa+zfz1B8q33WVe5P27oO8B7m9JIO5/L3MjAyo+llIUFVt7eta5wsW5/Bmnnc3nvwV4N+uWmaRoXv/iSX998E2VhUecotbh1uHRow6q/9uXZ2EReW3uQI+dyeO0+vytuvio1aGxKOc+ynSf4+Ugm5maKO3s6MT7UlbDunUwuYBLX57GI7sSVnjTJ/lZK0b5Na9q3aV3rx9rFpQYyLhbUGkQnnbrIpcvVE/K0b2OBrWUrzJTCTFUsIQlmSqEo/16+3Uxd+bjiGDNV9qDqMYXFhsrgN6/oyqyHSkHHNq1xsLPE3tYSNzcb7G3LHldsq/jeoU3ryhHxsiCrZ1O8vLXq7daRZY/2IeHkb/zfxlTe+t9hFm0+xqN3uDOxr9t1zxU/fC6HSR//wsXLxfx3Ym8GXufyp/UV5NqRTx4NYeJ//5h6cb2poX85foFHYnbTwcaCzx4LrbxXw5R0bmfFB+ODiFq0k6kr9vLxw71bLL9AxaDNA727GXWAfL1u2SAZyhJZ/Hu0Px5Odrzx3UHGfpDP4of+uKHPys+PS2vWoJWWoszL5lgZDBr/91MqPRxtucuv/tMsSjIzyXjl7+T+/DNtwkLp8q9/YeFsHEvMiJZlY9mKD8YHMXf9Ed7blMbxrDwWjtfTydaSrNxCYnef4rNdJzlz8TJObS15ZogHUSG3Nfr8PCFakoW5Gbd1alPnFJJL+cWc+q16AH25qBQNMGgaBq1sIELTyh5XfC8bnC77bqixX0PDYPjjuFKDAYMGrc3N8Hdpj0NlsPtHQOxoZ0lHm9YmlfRIf1sHPp4Uwr7TF5m/MY2564+weMsxJoW780i4W4NGIrelZfHEsnisW5vzxV/Cmm0FE/1tHVj2WB8m/HcXDyzawYroUFw6NCzA3ZKaSfQne+jS3prPHmu8qRstIci1A6/f58f0Vft48/sUXrnHt0Xa8faPR7AwN+NpI7uRsLHc0kEylI0qPHqHO93tbZi6Yi/3Lii7kUrXrT1W/n78tnw5RenpWN5eln/8h+RzHPk1l/88oKv3fLmcDRvI+PurGPLycPrbS3QYP/6WSD8t6s/MTPH8nV54ONkyfeU+Rr63jSDXDnx/IIPiUo2+t3filRE+DPF1uuKGHSFuBe3aWNCuTTtZVu4GBLi0Z8nEYA6cucR7P6Uxf2MqH209zsS+rjx6R3c6XmNFipXxp3lx1T5ud7Dlo0m9r3s093rpurVn+WN9GL9kV9mIcnT9R4I3HPyVycsT6O5gw7JH++BgZ9nErW169/fuxsGM31my9Tg+zm2bPfnJgTOX+DbpLFMG9miy1Udamvy1LTfQ25HVk/tiZWFG5Ic7+CbpLNY1Mu8ZDBrzN6bS3cGGewK6XLPM0tw8zv7tZU5PmUor5864r15Fx4cekgBZ1OleXVe++EsYJQYDm1LOM66PKxum9eOz6LJF+SVAFkLcKL+u7fhgQhA/PBNRdrNV3FHumP0T//7+UK2Z7jRN490NR3j+yyRCu3fiy7+GNXuAXCHApT3LHwslp6CEBxbt5GT2tbPQfZt0lic+jcfH2Y7PHw+9KQLkCi+P8CGseydeWrOfxFMXm7Xu2T+k0KGNBY/3796s9TYn+YtbhaeTHV8/eQeBLu15asVeFqQVoaytK5OK/HjwV1LO5TB1UI9rjiLnx8dz/L77uPTVV3T6y19w//xzLHv0aI6nIUxcYLf2bHp+ALtfGcLMkT3p4djydy8LIW4+3p3bsuBBPT8+04+hvk4s3nyMiNmbeOO7g5zPKQDKsqi9sHIf725IZUyQCx893LvZbpqsi79LO5Y/1oe8ohIeWLSDE9l5dR775Z5TPP35XvS3deDTx/q0+E1ujc3C3IwF4/Q42lny+Cd7+PX3gmapd0tqJltSs5gyyKPF3w9NSYLkGjratObTx/owNsiF+XHHOe1wG/n7y1LCzt+Yiru9DX+6yiiyVlTE+XfmcmL8BFAK10+X4fjsM6jWN9eFKZpWm9atWixrlhDi1uLhZMd/HujF+mn9ucu/M//depyI2Zv457fJTIr5hZXxp5k21JO3xgQ0e0bHuvh1LQuULxeX8sCinaRnXRkoL9uRzgsr9xHew56YR3ob/Zro16ujTWsWPxRMbmEJf1kWT0HxlTebNiaDQWP2Dyl0bW/N+NDbmrSulmYc73Yj07qVGXPGBPDy3T78YuFEzoFkPt1+nIMZv/PkwB513rBRmJrK8cgHyF68mPZj/oz7mjW00eubufVCCCFEw93uYMvc+3X89NwARgZ24ZMdJ/jl+AXm3h/IU4M9jG5VlZ5d2vFZdCiFJQYiF+3geJVAedHmo/z962SG+Diy+KFgo86q2Rh8nNvyzthAEk9d5JWvDtAUy/vmFBRz8OzvLPz5KAfO/M7zd3re9Mmqbu53zQ1QShHdrzvbD/Wj9bzN/PfTjbh278F9uitHkTWDgQuffELm3HmY2dri8v4C7AYNaoFWCyGEEDfGzd6Gt8YG8vQQD/KLSo0iYUVdfJzb8ll0H8Yt3kXkhztY8Xgo3yad5d0NqdwT4My8SN0tcy/HXf7OPDXYg/kbU+nZpS2Twt0bdH5hSSlny5dhPHUhn1O/5XP6wuXKVWUuVkmNHtitPfcGXpmI7WYjQfI1BA3ry7F5MNTsAr3v9rliFLk4I4OzL/2N/J07sR04EOfXZtHK3r6FWiuEEEI0joYusdZSvDu3ZcXjoTy4eCf3zN/K5eJSxgS5MPvPASaVtbExPDPYg0MZv/P6d4fwdLIjvMcf8YjBoPFrTgGnLlyuXIO8aiB87vcCqg5AW5grura3plvHNtzt70y3Dm3o1tGabh3a4NXZrsmS4BgTCZKvobWrK2a2tjziWIBzjTzpl75dy7lZs9BKS+n82izajxljdB9HCSGEEDc7Tyc7VkSH8ujSPQz2ceTvI3xviSCuJjMzxbxIHaPf38aTnyVwt78zpy7kc/q3y5z57TJFpX9khVQKnOys6NbRmrDunSqzWXbrUBYYO5lYavimIEHyNSgzM6x69qSgfIULgNKLFzk36zV+X7cOa52OLnNm0/q2m3vyuhBCCGHMPJzs+PmFAbf8YJWtZSsWPxTMg4t3sW5/Bt06tMHH2Y5hvk7VAuGuHaxv+jnFN0qC5Hqw8uvJb58sQysqIm/3bjL+9jIl2dk4PPM0nR57DNVKXkYhhBCipd3qAXIF1042bJ0xUF6PGyTRXT1Y+/lxobiY09OmkbthI627d8dtwQKs/Xq2dNOEEEIIIa4gAfKNkyC5HqzKM+/lbthIhwkTcHxuGmZWN2cKRiGEEEIIIUFyvVi4uOD4wvNY+fhg07dvSzdHCCGEEEI0MQmS60EpRadHH23pZgghhBBCiGZiVEFycXExp0+fpqCgeXKPi+vXrl07Dh061NLNuCYrKytcXFywsLg505EKIYQQomkYVZB8+vRp7OzscHNzkwnnRi4nJwc7O+PNwgSgaRrZ2dmcPn0ad/eGZR4SQgghxK3NqHI1FhQU0KlTJwmQRaNQStGpUyf5ZEIIIYQQDWZUQTLIkiWiccn7SQghhBDXw+iC5JZmbm6OTqer/EpPT6dvA1e0ePfdd8nPz2+S9g0YMIA9e/Y0a51CCCGEELcaCZJrsLa2JjExsfLLzc2N7du3X3FcSUlJnWW0RMAqQbIQQgghROORILkebG1tAYiLiyMiIoKRI0fi6+tLXl4eI0aMIDAwED8/P2JjY5k/fz5nz55l4MCBDBw48IqyZs2aRe/evfHz8+Pxxx9H0zSgbIR4xowZhISE4OnpyZYtWwC4fPkyDzzwAD4+PowaNYrLly9fUWZtdf7444+EhYWh1+sZO3Ysubm5ALi5ufGPf/wDvV6Pv78/KSkpTfKaCSGEEEKYMqNa3aKqf36bzMGzvzdqmb5d2vKPP109lfTly5fR6XQAuLu7s2bNmmr7ExISOHDgAO7u7qxatYouXbrw3XffAXDp0iXatWvH3Llz2bRpE/b29leUP2XKFF599VUAJkyYwNq1a/nTn/4ElI1O//LLL6xbt45//vOfbNiwgYULF9KmTRsOHTrEvn370Ov1V5T51FNPVaszKyuL119/nQ0bNmBjY8Ps2bOZO3duZb329vYkJCTw/vvv8/bbb7NkyZIGvpJCCCGEEDc3ow2SW0rFdIu6hISEVC4n5u/vz3PPPceMGTO45557iIiIuGb5mzZtYs6cOeTn53PhwgV69uxZGSSPHj0agKCgINLT0wHYvHkzTz31FAABAQEEBARcs46dO3dy8OBBwsPDASgqKiIsLKxyf9V6Vq9efc3yhBBCCCFuNUYbJF9rxLel2NjYVP7s6elJQkIC69at45VXXmHw4MGVo7W1KSgoYPLkyezZs4du3boxc+bMasuTWVpaAmU3D15tzvO1aJrG0KFDWbFiRa37G6seIYQQQoiblcxJvgFnz56lTZs2jB8/nhdeeIGEhAQA7OzsyMnJueL4ioDY3t6e3NxcVq5cec06+vXrx2effQbAgQMH2LdvX63HVa0zNDSUbdu2kZaWBkBeXh5Hjhxp+BMUQgghhLhFGe1IsinYv38/L7zwAmZmZlhYWLBw4UIAHn/8cYYPH06XLl3YtGlT5fHt27cnOjoaPz8/OnfuTO/eva9Zx1//+lcmTZqEj48PPj4+BAUF1XpczTpjYmKIioqisLAQgNdffx1PT89GeNZCCCGEEDc/VbG6QnPz8vLSDh8+XG3boUOH8PHxaZH2iIYxhbTUFeR9VV1cXBwDBgxo6WaI6yT9Z7qk70yb9J9pU0rFa5oW3JBzZLqFEEIIIYQQNdQrSFZKDVdKHVZKpSmlXgupxu4AAB5XSURBVKzjmPuVUgeVUslKqc8at5lCCCGEEEI0n2vOSVZKmQMLgKHAaWC3UuobTdMOVjnGA3gJCNc07TellGNTNVgIIYQQQoimVp+R5BAgTdO0Y5qmFQGfA/fWOCYaWKBp2m8Amqadb9xmCiGEEEII0XzqEyR3BU5VeXy6fFtVnoCnUmqbUmqnUmp4YzVQCCGEEEKI5tZYS8C1AjyAAYALsFkp5a9p2sWqBymlHgceB3BwcCAuLq5aIe3atat1fWFhfEpLS02mrwoKCq54r93KcnNz5fUwYdJ/pkv6zrRJ/9166hMknwG6VXnsUr6tqtPALk3TioHjSqkjlAXNu6sepGnaImARlC0BV3MplUOHDrX4smJvvPEGn332Gebm5piZmfHhhx/Sp0+fZm1DXFwcb7/9NmvXrjXack1pCTgrKyt69erV0s0wGrKMkWmT/jNd0nemTfrv1lOfIHk34KGUcqcsOH4AeLDGMV8BUcDHSil7yqZfHGvMhjaHHTt2sHbtWhISErC0tCQrK4uioqKWbpYQQgghhGhm15yTrGlaCTAF+B9wCPhC07RkpdQspdTI8sP+B2QrpQ4Cm4AXNE3LbqpGN5WMjAzs7e2xtLQEytJHd+nSBYD4+Hj69+9PUFAQd955JxkZGQCkpaUxZMgQAgMD0ev1HD16FE3TeOGFF/Dz88Pf35/Y2Fjgj/9Cx4wZg7e3N+PGjaMimcsPP/yAt7c3er2e1atX19q+9PR0IiIi0Ov16PV6tm/f3ijlFhQUMGnSJPz9/enVq1dllsCYmBhGjx7N8OHD8fDwYPr06ZXnbNy4kbCwMPR6PWPHjiU3N/eGXnshhBBCCGNSrznJmqatA9bV2PZqlZ81YFr5V+P4/kU4t7/RigOgsz/c9Wadu4cNG8asWbPw9PRkyJAhREZG0r9/f4qLi5k6dSpff/01Dg4OxMbG8vLLL/PRRx8xbtw4XnzxRUaNGkVBQQEGg4HVq1eTmJhIUlISWVlZ9O7dm379+gGwd+9ekpOT6dKlC+Hh4Wzbto3g4GCio6P56aef6NGjB5GRkbW2z9HRkfXr12NlZUVqaipRUVHs2bPnhstdsGABSin2799PSkoKw4YN48iRIwAkJiayd+9eLC0t8fLyYurUqVhbW/PWW2+xYcMGbGxsmD17NnPnzuXVV1+ttXwhhBBCCFPTWDfu3RRsbW2Jj49ny5YtbNq0icjISN58802Cg4M5cOAAQ4cOBcpuWnN2diYnJ4czZ84watQooGzuK8DWrVuJiorC3NwcJycn+vfvz+7du2nbti0hISG4uLgAoNPpSE9Px9bWFnd3dzw8PAAYP348ixYtuqJ9xcXFTJkyhcTERMzNzSsDWeCGyt26dStTp04FwNvbG1dX18qyBw8eTLt27QDw9fXlxIkTXLx4kZSUFMLDwwEoKioiLCzsRl56IYQQQgijYrxB8lVGfJuSubk5AwYMYMCAAfj7+7N06VKCgoLo2bMnO3bsqHbs9azuUDGVo6KukpKSep87b948nJycSEpKwmAwVAblN1puQ9uraRoDBw5k5cqVjVKHEEIIIYSxqVda6lvF4cOHSU1NrXycmJiIq6srXl5eZGZmVgbJxcXFJCcnY2dnh4uLC1999RUAhYWF5OfnExERQWxsLKWlpWRmZrJ582ZCQkLqrNfb25v09HSOHj0KwIoVK2o97tKlSzg7O2NmZsayZcsoLS296vOpb7kREREsX74cgCNHjnDy5Em8vLzqLDc0NJRdu3aRlpYGQF5eXrVRbSGEEEIIUydBchW5ublMnDgRX19fAgICOHjwIDNnzqR169asXLmSGTNmEBgYiE6nq7xpbtmyZcyfP5+AgAD69u3LuXPnGDVqFAEBAQQGBjJo0CDmzJlD586d66zXysqKRYsWMWLECPR6PY6OtWf1njx5MkuXLiUwMJCUlBRsbGyu+nwaUq7BYMDf35/IyEhiYmKqjSDX5ODgwMKFC4mKiiIgIICwsDBSUlKu2hYhhBBCCFOiKlZBaG5eXl7a4cOHq207dOgQPj4+LdIe0TCmtE6yvK+qk7U+TZv0n+mSvjNt0n+mTSkVr2lacEPOkZFkIYQQQgghapAgWQghhBBCiBokSBZCCCGEEKIGCZKFEEIIIYSoQYJkIYQQQgghapAgWQghhBBCiBokSBZCCCGEEKIGCZJreOONN+jZsycBAQHodDp27drV7G2Ii4vjnnvuMZlyr+aZZ55h8+bNN1xOeno6fn5+te57/vnn+emnn264DiGEEEKICq1augHGZMeOHaxdu5aEhAQsLS3JysqiqKiopZtlsrKzs9m5cyfvvvvuFftKS0sxNzdvlHqmTp1KdHQ0gwYNapTyhBBCCCGMNkie/ctsUi40bqpj747ezAiZUef+jIwM7O3tK1My29vbV+6Lj49n2rRp5ObmYm9vT0xMDM7OzqSlpfHEE0+QmZmJubk5X375Jd27d2f69Ol8//33KKV45ZVXiIyMJC4ujpkzZ2Jvb8+BAwcICgri008/RSnFDz/8wDPPPEObNm244447am1feno6EyZMIC8vD4D33nuPvn373nC5BQUF/PWvf2XPnj20atWKuXPnMnDgQGJiYvjmm2/Iz8/n6NGjjBo1ijlz5gCwceNGZs+eTWFhIbfffjsff/wxtra21cpdtWoVw4cPr3zs5uZGZGQk69evZ/r06XzwwQe8/fbbBAcHk5WVRXBwMOnp6SQnJzNp0iSKioowGAysWrUKCwsLSktLiY6OZvv27XTt2pWvv/4aa2trXF1dyc7O5ty5c1dN/y2EEEIIUV8y3aKKYcOGcerUKTw9PZk8eTI///wzAMXFxUydOpWVK1cSHx/PI488wssvvwzAuHHjePLJJ0lKSmL79u04OzuzevVqEhMTSUpKYsOGDbzwwgtkZGQAsHfvXt59910OHjzIsWPH2LZtGwUFBURHR/Ptt98SHx/PuXPnam2fo6Mj69evJyEhgdjYWJ566qnKfTdS7oIFC1BKsX//flasWMHEiRMpKCgAIDExkdjYWPbv309sbCynTp0iKyuLt956iw0bNpCQkEBwcDBz5869otxt27YRFBRUbVunTp1ISEjggQceqLMfPvjgA55++mkSExPZs2cPLi4uAKSmpvLkk0+SnJxM+/btWbVqVeU5er2ebdu21VmmEEIIIURDGO1I8tVGfJuKra0t8fHxbNmyhU2bNhEZGcmbb75JcHAwBw4cYOjQoUDZVAFnZ2dycnI4c+YMo0aNAsDKygqArVu3EhUVhbm5OU5OTvTv35/du3fTtm1bQkJCKoM+nU5Heno6tra2uLu74+HhAcD48eNZtGjRFe0rLi5mypQpJCYmYm5uzpEjRyr33Ui5W7duZerUqQB4e3vj6upaWfbgwYNp164dAL6+vpw4cYKLFy+SkpJCeHg4AEVFRYSFhV1RbkZGBg4ODtW2RUZGXrMfwsLCeOONNzh9+jSjR4+ubL+7uzs6nQ6AoKAg0tPTK89xdHTk7Nmz1yxbCCGEEKI+jDZIbinm5uYMGDCAAQMG4O/vz9KlSwkKCqJnz57s2LGj2rE5OTkNLr9iKkdFXSUlJfU+d968eTg5OZGUlITBYKgMym+03Ia2V9M0Bg4cyMqVK696rrW1deWIdAUbG5vKn1u1aoXBYACodtyDDz5Inz59+O6777j77rv58MMP6d69+xVtuXz5cuXjgoICrK2tr+9JCiGEEELUINMtqjh8+DCpqamVjxMTE3F1dcXLy4vMzMzKILm4uJjk5GTs7OxwcXHhq6++AqCwsJD8/HwiIiKIjY2ltLSUzMxMNm/eTEhISJ31ent7k56eztGjRwFYsWJFrcddunQJZ2dnzMzMWLZsGaWlpVd9PvUtNyIiguXLlwNw5MgRTp48iZeXV53lhoaGsmvXLtLS0gDIy8urNqpdwcfHp/KY2ri5uREfHw9QLeA+duwY3bt356mnnuLee+9l3759V32eFe2ua/ULIYQQQoiGkiC5itzcXCZOnIivry8BAQEcPHiQmTNn0rp1a1auXMmMGTMIDAxEp9Oxfft2AJYtW8b8+fMJCAigb9++nDt3jlGjRhEQEEBgYCCDBg1izpw5V72hzMrKikWLFjFixAj0ej2Ojo61Hjd58mSWLl1KYGAgKSkp1UZlb7Rcg8GAv78/kZGRxMTEVBu1rcnBwYGFCxcSFRVFQEAAYWFhpKRceZPliBEjiIuLq7Oc559/noULF9KrVy+ysrIqt3/xxRf4+fmh0+k4cOAADz300FWfZ3FxMWlpaQQHB1/1OCGEEEKI+lKaprVIxV5eXtrhw4erbTt06BA+Pj4t0h7RMDk5OdjZ2V3zuDvuuIO1a9fSvn37JmvLmjVrSEhI4LXXXqt1v7yvqouLi2PAgAEt3QxxnaT/TJf0nWmT/jNtSql4TdMaNJomI8miSb3zzjucPHmySesoKSnhueeea9I6hBBCCHFrkRv3RJPq06dPk9cxduzYJq9DCCGEELcWGUkWQgghhBCiBgmShRBCCCGEqEGCZCGEEEIIIWqQILmGN954g549exIQEIBOp2PXrl3N3oa4uDjuuecekyn3ap555hk2b97c5PUMGTKE3377rcnrEUIIIcStQYLkKnbs2MHatWtJSEhg3759bNiwgW7durV0s0xWdnY2O3fupF+/fk1e14QJE3j//febvB4hhBBC3BokSK4iIyMDe3v7ykQa9vb2dOnSBYD4+Hj69+9PUFAQd955JxkZGQCkpaUxZMgQAgMD0ev1HD16FE3TeOGFF/Dz88Pf35/Y2FjgjzUWx4wZg7e3N+PGjaNineoffvgBb29v9Ho9q1evrrV96enpREREoNfr0ev1lQlNbrTcgoICJk2ahL+/P7169WLTpk0AxMTEMHr0aIYPH46HhwfTp0+vPGfjxo2EhYWh1+sZO3Ysubm5V5S7atUqhg8fXvnYzc2N6dOn4+/vT0hISGU2vm+//ZY+ffrQq1cvhgwZwq+//grAzz//jE6nQ6fT0atXL3JycsjIyKBfv37odDr8/PzYsmULACNHjqwzo6AQQgghREMZ7RJw5/71LwoPXZnF7UZY+njT+W9/q3P/sGHDmDVrFp6engwZMoTIyEj69+9PcXExU6dO5euvv8bBwYHY2FhefvllPvroI8aNG8eLL77IqFGjKCgowGAwsHr1ahITE0lKSiIrK4vevXtXjqbu3buX5ORkunTpQnh4ONu2bSM4OJjo6Gh++uknevToQWRkZK3tc3R0ZP369VhZWZGamkpUVBR79uy54XIXLFiAUor9+/eTkpLCsGHDKtNMJyYmsnfvXiwtLfHy8mLq1KlYW1vz1ltvsWHDBmxsbJg9ezZz587l1VdfrVbutm3bGDNmTLVt7dq1Y//+/XzyySc888wzrF27ljvuuIOdO3eilGLJkiXMmTOHd955h7fffpsFCxYQHh5Obm5uZQbBO++8k5dffpnS0lLy8/MB6NChA4WFhWRnZ9OpU6d6vBuEEEIIIepmtEFyS7C1tSU+Pp4tW7awadMmIiMjefPNNwkODubAgQMMHToUgNLSUpydncnJyeHMmTOMGjUKKEsDDbB161aioqIwNzfHycmJ/v37s3v3btq2bUtISAguLi4A6HQ60tPTsbW1xd3dHQ8PDwDGjx/PokWLrmhfcXExU6ZMITExEXNz88pAFrihcrdu3crUqVMB8Pb2xtXVtbLswYMH065dOwB8fX05ceIEFy9eJCUlhfDwcACKiooICwu7otyMjAwcHByqbYuKiqr8/uyzzwJw+vRpIiMjycjIoKioCHd3dwDCw8OZNm0a48aNY/To0bi4uNC7d28eeeQRiouLue+++9DpdJVlOzo6cvbsWQmShRBCCHHDjDZIvtqIb1MyNzdnwIABDBgwAH9/f5YuXUpQUBA9e/Zkx44d1Y7NyclpcPkVUzkq6iopKan3ufPmzcPJyYmkpCQMBkNlUH6j5Ta0vZqmMXDgQFauXHnVc62trSkoKKi2TSl1xc9Tp05l2rRpjBw5kri4OGbOnAnAiy++yIgRI1i3bh3h4eH873//o1+/fmzevJnvvvuOhx9+mGnTpvHQQw8BZdNGrK2tG+NpCyGEEOIWJ3OSqzh8+DCpqamVjxMTE3F1dcXLy4vMzMzKILm4uJjk5GTs7OxwcXHhq6++AqCwsJD8/HwiIiKIjY2ltLSUzMxMNm/eTEhISJ31ent7k56eztGjRwHqnFt76dIlnJ2dMTMzY9myZZSWll71+dS33IiICJYvXw7AkSNHOHnyJF5eXnWWGxoayq5duyrnFOfl5VUb1a7g4+NTeUyFivnZsbGxlaPPly5domvXrgAsXbq08tijR4/i7+/PjBkz6N27NykpKZw4cQInJyeio6N57LHHSEhIAEDTNM6dO4ebm9tVXxMhhBBCiPqQILmK3NxcJk6ciK+vLwEBARw8eJCZM2fSunVrVq5cyYwZMwgMDESn01XeNLds2TLmz59PQEAAffv25dy5c4waNYqAgAACAwMZNGgQc+bMoXPnznXWWzHXdsSIEej1ehwdHWs9bvLkySxdupTAwEBSUlKwsbG56vNpSLkGgwF/f38iIyOJiYmpNoJck4ODAwsXLiQqKoqAgADCwsJISbly/viIESOIi4urtu23334jICCA//znP8ybNw+AmTNnMnbsWIKCgrC3t6889t1338XPz4+AgAAsLCy46667iIuLIzAwkF69ehEbG8vTTz8NlN1YGRoaSqtWRvvhiBBCCCFMiKpYBaG5eXl5aYcPH6627dChQ/j4+LRIe0TD5OTkYGdnd83j7rjjDtauXUv79u1xc3Njz5491QLhxvL0008zcuRIBg8efMU+eV9VV7EaijBN0n+mS/rOtEn/mTalVLymacENOUdGkkWTeueddzh58mST1+Pn51drgCyEEEIIcT3ks2nRpPr06VP5c3p6epPVEx0d3WRlCyGEEOLWIyPJQgghhBBC1CBBshBCCCGEEDVIkCyEEEIIIUQNEiQLIYQQQghRgwTJVWRnZ6PT6dDpdHTu3JmuXbui0+lo3749vr6+tZ7z6quvsmHDhmuWHRcXxz333NPYTW6ycoUQQgghbmWyukUVnTp1IjExEShLcGFra8vzzz9Penp6nYHorFmzat1eWlqKubl5k7VVCCGEEEI0HRlJrqfS0lKio6Pp2bMnw4YN4/LlywA8/PDDrFy5EgA3NzdmzJiBXq/nyy+/5IcffsDb2xu9Xs/q1atrLTc9PZ2IiAj0ej16vb4yk1/FouVjxozB29ubcePGUZH4pT7lFhQUMGnSJPz9/enVqxebNm0CICYmhtGjRzN8+HA8PDyYPn165Tk//vgjYWFh6PV6xo4dS25ubuO8eEIIIYQQJsZoR5K3fHGErFONG6TZd7Ml4n7P6zo3NTWVFStWsHjxYu6//35WrVrF+PHjrziuU6dOJCQkUFBQgIeHBz/99BM9evQgMjKy1nIdHR1Zv349VlZWpKamEhUVxZ49ewDYu3cvycnJdOnShfDwcLZt20ZwcDDR0dHXLHfBggUopdi/fz8pKSkMGzaMI0eOAJCYmMjevXuxtLTEy8uLqVOnYm1tzeuvv86GDRuwsbFh9uzZzJ07l1dfffW6Xi8hhBBCCFNmtEGysXF3d0en0wEQFBRUZ2KMiqA1JSUFd3d3PDw8ABg/fjyLFi264vji4mKmTJlCYmIi5ubmlYEsQEhICC4uLgDodDrS09OxtbWtV7lbt25l6tSpAHh7e+Pq6lpZ9uDBg2nXrh0Avr6+nDhxgosXL3Lw4EHCw8MBKCoqIiwsrGEvkhBCCCHETcJog+TrHfFtKpaWlpU/m5ubV063qMnGxqZB5c6bNw8nJyeSkpIwGAxYWVnVWWdJSUkDW1272srVNI2hQ4eyYsWKRqlDCCGEEMKUyZzkJuLt7U16ejpHjx4FqDP4vHTpEs7OzpiZmbFs2TJKS0sbpdyIiAiWL18OwJEjRzh58iReXl51lhsaGsq2bdtIS0sDIC8vr9qothBCCCHErUSC5CZiZWXFokWLGDFiBHq9HkdHx1qPmzx5MkuXLiUwMJCUlJRrjkQ3pFyDwYC/vz+RkZHExMRUG0GuycHBgZiYGKKioggICCAsLIyUlJT6P2EhhBBCiJuIqlgxobl5eXlphw8frrbt0KFD+Pj4tEh7RMPk5ORgZ2fX0s2oF3lfVVexcoowTdJ/pkv6zrRJ/5k2pVS8pmnBDTlHRpKFEEIIIYSoQYJkIYQQQgghapAgWQghhBBCiBqMLkhuqTnS4uYk7ychhBBCXA+jCpKtrKzIzs6WwEY0Ck3TyM7Orrb2tBBCCCFEfRhVMhEXFxdOnz5NZmZmSzdFXENBQYFJBJ9WVlaVWQuFEEIIIeqrXkGyUmo48B/AHFiiadqbNfY/DLwFnCnf9J6maUsa2hgLCwvc3d0beppoAXFxcfTq1aulmyGEEEII0SSuGSQrpcyBBcBQ4DSwWyn1jaZpB2scGqtp2pQmaKMQQgghhBDNqj5zkkOANE3TjmmaVgR8DtzbtM0SQgghhBCi5dQnSO4KnKry+HT5tpr+rJTap5RaqZTq1iitE0IIIYQQogU01o173wIrNE0rVEr9BVgKDKp5kFLqceDx8oeFSqkDjVS/aH72QFZLN0JcF+k70yb9Z7qk70yb9J9p82roCfUJks8AVUeGXfjjBj0ANE3LrvJwCTCntoI0TVsELAJQSu1paA5tYTyk/0yX9J1pk/4zXdJ3pk36z7QppfY09Jz6TLfYDXgopdyVUq2BB4BvalTsXOXhSOBQQxsihBBCCCGEsbjmSLKmaSVKqSnA/yhbAu4jTdOSlVKzgD2apn0DPKWUGgmUABeAh5uwzUIIIYQQQjSpes1J1jRtHbCuxrZXq/z8EvBSA+te1MDjhXGR/jNd0nemTfrPdEnfmTbpP9PW4P5TkgJaCCGEEEKI6uozJ1kIIYQQQohbSrMEyUqpbkqpTUqpg0qpZKXU0+XbOyql1iulUsu/d2iO9oj6u0rfzVRKnVFKJZZ/3d3SbRVXUkpZKaV+UUollfffP8u3uyuldiml0pRSseU35QojcpW+i1FKHa9y7elauq2ibkopc6XUXqXU2vLHcu2ZiFr6Tq49E6GUSldK7S/vpz3l2xocczbXSHIJ8Jymab5AKPCkUsoXeBHYqGmaB7Cx/LEwLnX1HcA8TdN05V/r6i5CtKBCYJCmaYGADhiulAoFZlPWfz2A34BHW7CNonZ19R3AC1WuvcSWa6Koh6epvuKTXHumo2bfgVx7pmRgeT9VLNvX4JizWYJkTdMyNE1LKP85h7I3XVfK0lsvLT9sKXBfc7RH1N9V+k6YAK1MbvlDi/IvjbJkPyvLt8u1Z4Su0nfCRCilXIARlOUPQCmlkGvPJNTsO3FTaHDM2exzkpVSbkAvYBfgpGlaRvmuc4BTc7dH1F+NvgOYUp6K/COZKmO8yj8yTATOA+uBo8BFTdNKyg+pK9W8aGE1+07TtIpr743ya2+eUsqyBZsoru5dYDpgKH/cCbn2TEXNvqsg155p0IAflVLx5dme4TpizmYNkpVStsAq4BlN036vuk8rW2ZDRkmMVC19txC4nbKPgTOAd1qweeIqNE0r1TRNR1m2zBDAu4WbJOqpZt8ppfwoW27TG+gNdARmtGATRR2UUvcA5zVNi2/ptoiGuUrfybVnOu7QNE0P3EXZNNF+VXfWN+ZstiBZKWVBWZC1XNO01eWbf63I1lf+/XxztUfUX219p2nar+V/wA3AYsqCL2HENE27CGwCwoD2SqmKddKvSDUvjEuVvhtePgVK0zStEPgYufaMVTgwUimVDnxO2TSL/yDXnim4ou+UUp/KtWc6NE07U/79PLCGsr5qcMzZXKtbKOC/wCFN0+ZW2fUNMLH854nA183RHlF/dfVdjVTko4ADzd02cW1KKQelVPvyn62BoZTNK98EjCk/TK49I1RH36VU+SWvKJtTJ9eeEdI07SVN01w0TXMDHgB+0jRtHHLtGb06+m68XHumQSllo5Syq/gZGEZZXzU45qxXxr1GEA5MAPaXz68D+BvwJvCFUupR4ARwfzO1R9RfXX0XVb78jQakA39pmeaJa3AGliqlzCn7p/gLTdPWKqUOAp8rpV4H9lL2j5AwLnX13U9KKQdAAYnAEy3ZSNFgM5Brz1Qtl2vPJDgBa8r+l6EV8JmmaT8opXbTwJhTMu4JIYQQQghRg2TcE0IIIYQQogYJkoUQQgghhKhBgmQhhBBCCCFqkCBZCCGEEEKIGiRIFkIIIYQQogYJkoUQQgghhKhBgmQhhBBCCCFqkCBZCCGEEEKIGv4fm8IsOO7DR0kAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 864x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "6JnM4FVrc2iy"
      },
      "source": [
        "Yards gained rushing on 2nd and 1"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "-zeuWVk8dEf7"
      },
      "source": [
        "Yards gained rushing on 2nd and 1, conditional on success"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 421
        },
        "id": "SY6V7lmtdH5U",
        "outputId": "ed205210-13e5-4c92-f3d2-2e46ce986e08"
      },
      "source": [
        "rush21 = df_ytg_92_r[['yds','yfog']].groupby('yfog').mean().reset_index()\n",
        "df_ytg_92_r_suc = df_ytg_92_r[df_ytg_92_r['yds']>=1]\n",
        "rush21_suc = df_ytg_92_r_suc[['yds','yfog']].groupby('yfog').mean().reset_index()\n",
        "plt.plot(rush21['yfog'].values,rush21['yds'].values,rush21_suc['yfog'].values,rush21_suc['yds'].values)\n",
        "plt.legend(['Unconditional','When successful'])\n",
        "plt.grid()\n",
        "plt.title('Yards gained rushing on second-and-one')\n",
        "plt.xlabel('Field position')\n",
        "plt.ylabel('Yards gained')"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "Text(0, 0.5, 'Yards gained')"
            ]
          },
          "metadata": {},
          "execution_count": 71
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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\n",
            "text/plain": [
              "<Figure size 864x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "WJCnu4JohIGa"
      },
      "source": [
        "Average yards rushing on 3rd and 1 for \"regular\" field position (20,70)"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/"
        },
        "id": "nmJS6t9_f0wq",
        "outputId": "5ce86581-090d-4dd9-cbd2-db0831909197"
      },
      "source": [
        "df_ytg_93_r = df[(df['dwn']==3) & (df['ytg']==1) & (df['type']=='RUSH') & (df['yfog']<70) & (df['yfog']>20)]\n",
        "df_ytg_93_p = df[(df['dwn']==3) & (df['ytg']==1) & (df['type']=='PASS') & (df['yfog']<70) & (df['yfog']>20)]\n",
        "rush3 = df_ytg_93_r[df_ytg_93_r['yds']>=1]\n",
        "rush3['yds'].mean()"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "4.671961874503574"
            ]
          },
          "metadata": {},
          "execution_count": 87
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "jJ5H3RcQeEu9"
      },
      "source": [
        "## Bad outcomes - rushing\n",
        "Let's assume we stop shy of the first down then rush twice"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 391
        },
        "id": "d-k4PFA7eLxZ",
        "outputId": "b6eb176d-3950-4bb9-db7a-e8abd4adc5bf"
      },
      "source": [
        "df_ytg_92_r_bad = df_ytg_92_r[df_ytg_92_r['yds']<1]\n",
        "df_ytg_92_r_bad['yds'].hist(bins=50)\n",
        "n = len(df_ytg_92_r)\n",
        "n_bad = len(df_ytg_92_r_bad)\n",
        "print(n_bad/n)"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "0.1896551724137931\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 864x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "KFjWNXi9dl9w"
      },
      "source": [
        "Yards gained rushing on 3rd and 1, conditional on success"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "C_MyVzNVjBze"
      },
      "source": [
        "## Bad outcomes - passing "
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 391
        },
        "id": "Fn2uF1w4jBDF",
        "outputId": "0b78d057-2272-4d29-e502-fb0ed11dd40c"
      },
      "source": [
        "df_ytg_92_p_bad = df_ytg_92_p[df_ytg_92_p['yds']<1]\n",
        "df_ytg_92_p_bad['yds'].hist(bins=50)\n",
        "n = len(df_ytg_92_p)\n",
        "n_bad = len(df_ytg_92_p_bad)\n",
        "print((n_bad,n))\n",
        "n_really_bad = len(df_ytg_92_p[df_ytg_92_p['yds']<0])"
      ],
      "execution_count": null,
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "(231, 540)\n"
          ]
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": "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\n",
            "text/plain": [
              "<Figure size 864x432 with 1 Axes>"
            ]
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "qMyk0Q_n4Hff"
      },
      "source": [
        "# Useful yards"
      ],
      "execution_count": null,
      "outputs": []
    }
  ]
}