{ "cells": [ { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "8GTL9Gqaxlg4" }, "source": [ "# Principal Component Analysis (PCA)\n", "\n", "\n", "\n", "[Slides: Principal Component Analysis (PCA)](https://github.com/ichatnun/brainCodeCamp2023_lectures/blob/main/DimensionalityReduction/dim_reduction_part2_pca.pdf)\n", "\n", "
\n", "\n", "ใน tutorial นี้เรามาทดลองใช้เทคนิค principal component analysis (PCA) ในการลดจำนวนมิติของข้อมูลกัน\n", "\n", "เราจะเริ่มจากการนำเอาข้อมูลจากตัวอย่างสุดท้ายใน tutorial ที่แล้วมาดู ซึ่งแต่ละจุดข้อมูล $(x,y)$ เป็นข้อมูลใน space ที่มี 2 มิติ (ค่า $x$ เป็นมิติแรก และค่า $y$ เป็นมิติที่สอง) และในชุดข้อมูลนี้มีจุดอยู่ 2 ประเภท (2 classes)\n", "\n", "\n", "* class 1: $y = x$ โดยที่ $ -4 ≤ x < 0 $\n", "* class 2: $y = x$ โดยที่ $ 0 < x ≤ 4 $\n", "\n", "ตอนนั้นเราใช้การหมุนจุดข้อมูลตามเข็มนาฬิกาไป $45$ องศา แต่ใน tutorial นี้ นี้เราจะมองอีกมุม กล่าวคือ เราจะไม่หมุนจุดข้อมูล แต่เราจะหมุนแกนทั้งหมดใน space (แกน $x$ และ แกน $y$) ไป $45$ องศาแบบทวนเข็มนาฬิกาแทน" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "id": "GQZLjejKQvxQ" }, "outputs": [], "source": [ "import numpy as np\n", "from sklearn.decomposition import PCA\n", "from numpy.random import multivariate_normal\n", "import matplotlib.pyplot as plt\n", "from matplotlib import colors\n", "\n", "import ipywidgets as widgets # ใช้สำหรับการทำ interactive display\n", "\n", "np.random.seed(42) # ตั้งค่า random seed เอาไว้ เพื่อให้การรันโค้ดนี้ได้ผลเหมือนเดิม" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 564 }, "id": "aJsUTKs38pjz", "outputId": "3c901475-af36-4f68-d4cc-ba7433264ee1" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "num_points = 50 # จำนวนจุดข้อมูล\n", "x = np.linspace(-4, 4, num_points)\n", "y = x\n", "\n", "# นำเอาค่า x มาใส่ใน column แรกของ data matrix และ ค่า y มาใส่ใน column ที่สอง\n", "data = np.zeros((num_points, 2))\n", "data[:, 0] = x\n", "data[:, 1] = y\n", "\n", "# เตรียมข้อมูลผลเฉลย โดยกำหนดให้ class 1 แทนด้วยเลข 0 และ class 2 แทนด้วยเลข 1\n", "true_class_labels = data[:, 0] > 0\n", "\n", "# เตรียมแสดงผล\n", "x_disp = [-6.0, 6.0] # ค่าต่ำสูงและสูงสุดของ x สำหรับแสดงผล\n", "y_disp = [-6.0, 6.0] # ค่าต่ำสูงและสูงสุดของ y สำหรับแสดงผล\n", "\n", "\n", "fig, ax = plt.subplots(1, 2, figsize=(12, 6))\n", "\n", "# แสดงรูปข้อมูลเริ่มต้น\n", "ax[0].scatter(data[data[:, 0] < 0, 0], data[data[:, 0] < 0, 1], c='b') # Plot จุดข้อมูลที่เป็น class 1\n", "ax[0].scatter(data[data[:, 0] > 0, 0], data[data[:, 0] > 0, 1], c='r') # Plot จุดข้อมูลที่เป็น class 2\n", "ax[0].plot([0, 0], y_disp, c=\"grey\") # Plot แกน y\n", "ax[0].plot(x_disp, [0, 0], c=\"grey\") # Plot แกน x\n", "ax[0].set(xlabel=\"x\", ylabel=\"y\")\n", "ax[0].set_title(\"Data with two classes\")\n", "\n", "\n", "# โชว์แกนใหม่ที่เกิดจากการหมุนแกน x และ แกน y ทวนเข็มนาฬิกาไป 45 องศา\n", "ax[1].scatter(data[data[:, 0] < 0, 0], data[data[:, 0] < 0, 1], c='b') # Plot จุดข้อมูลที่เป็น class 1\n", "ax[1].scatter(data[data[:, 0] > 0, 0], data[data[:, 0] > 0, 1], c='r') # Plot จุดข้อมูลที่เป็น class 2\n", "ax[1].plot([-6, 6], [6, -6], c=\"m\", alpha=0.3) # Plot แกน y ที่ถูกหมุน\n", "ax[1].plot([-6, 6], [-6, 6], c=\"m\", alpha=1) # Plot แกน x ที่ถูกหมุน\n", "ax[1].plot([0, 0], y_disp, c=\"grey\") # Plot แกน y\n", "ax[1].plot(x_disp, [0, 0], c=\"grey\") # Plot แกน x\n", "ax[1].set(xlabel=\"x\", ylabel=\"y\")\n", "ax[1].set_title(\"Rotated axes (45 degrees counterclockwise)\")\n", "\n", "plt.setp(ax, xlim=x_disp, ylim=y_disp)\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "uAR52o1njrA2" }, "source": [ "จากภาพด้านบน แกนสีชมพูเข้ม คือแกน $x$ ที่ถูกหมุนไป $45$ องศาแบบทวนเข็มนาฬิกา และแกนสีชมพูที่อ่อนกว่า คือแกน $y$ ที่ถูกหมุนไปด้วยองศาเดียวกัน\n", "\n", "จะเห็นได้ว่าข้อมูลจะอยู่บนแกนสีชมพูเข้มทั้งหมด ไม่มีข้อมูลกระจายตัวในแกนสีชมพูอ่อนเลย ซึ่งหมายความว่าเราสามารถลดจำนวนมิติได้โดยการกำจัดแกนสีชมพูอ่อนไป\n", "\n", "ในขณะที่ ถ้าเราดูข้อมูลในแกนตั้งต้น (สีเทา) จุดข้อมูลจะกระจายตัวอยู่ระหว่าง 2 แกนเลย ทำให้ไม่สามารถกำจัดแกนใดแกนหนึ่งออกไปได้โดยไม่กระทบต่อคุณภาพของข้อมูล\n", "\n", "

\n", "\n", "---\n", "\n", "สิ่งที่เทคนิค PCA ใช้ในการลดจำนวนมิติของข้อมูล ก็คือการหาแกนที่เมื่อเราลดมิติของข้อมูลไปบนแกนนั้น (ทางเทคนิคเรียกว่า project ข้อมูลไปบนแกนนั้น) จะพบว่าข้อมูลจะมีการกระจายตัวสูงที่สุด ซึ่งเราวัดการกระจายตัวด้วย variance ของข้อมูลบนแกนนั้น\n", "\n", "ก่อนอื่น เราจะมาดู concept ของคำว่า projection กัน โดยเราจะมองจุดข้อมูลของเราเป็นวัตถุ 1 ชิ้น\n", "\n", "การ project จุดข้อมูลของเราไปบนแกนอะไร ก็เหมือนกับการที่เราส่องไฟฉายไปที่วัตถุนั้น โดยให้แสงทำมุมตั้งฉากกับแกนนั้น แล้วเงาของวัตถุที่ปรากฎบนแกน ก็คือข้อมูลที่ถูกลดมิติลงนั่นเอง\n", "\n", "ดูตัวอย่างจาก code ใน cell ถัดไป ซึ่งใช้จุดสีอ่อน ๆ (ค่า alpha น้อย) แสดงถึงตัวข้อมูลที่ถูก project ไปบนแกนที่เราสนใจ (แสดงด้วยสีชมพูเข้ม)\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 628, "referenced_widgets": [ "3161b0805c03470dbcc08bc8a515894c", "83ce7efa2d724169b800dd3f4cba4666", "8428e8567bb24fadbc898f4de14b0e74", "7920707135b442c7ad5bca2d115b489e", "19eb7fdc85d24f789f61d578b10e10ea", "e69cc310bfbb4d77bceea9ce3fc12f73", "14e9f9270ee341b1b2437e2a5355c988", "5fba58235f1740c78fcbedc32b0daa64", "52047dc7e3874a60bd7d1c9a34f5cd65", "f533c88dc7824240bbd0702c3f895fe2" ] }, "id": "jCkG3pvnTzr_", "outputId": "e70d70e2-6f10-4dd3-db58-c6a6dfe228ba" }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "3161b0805c03470dbcc08bc8a515894c", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=0, description='Angle (deg)', max=180), Checkbox(value=True, description…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# ผู้เรียนไม่ต้องกังวลเกี่ยวกับรายละเอียดของ code ใน cell นี้ ซึ่งจะใช้ในการอธิบาย concept เท่านั้น ไม่ได้คำนึงถึงการเขียนให้ optimize performance\n", "\n", "def projection_example():\n", "\n", " num_points_proj_ex = 50 # จำนวนจุดข้อมูล\n", " x_proj_ex = np.linspace(-4, 4, num_points_proj_ex)\n", " y_proj_ex = x_proj_ex\n", "\n", " # นำเอาค่า x มาใส่ใน column แรกของ data matrix และ ค่า y มาใส่ใน column ที่สอง\n", " data_proj_ex = np.zeros((num_points_proj_ex, 2))\n", " data_proj_ex[:, 0] = x_proj_ex\n", " data_proj_ex[:, 1] = y_proj_ex\n", "\n", " @widgets.interact(angle_counter_clock_degree=widgets.IntSlider(0, min=0, max=180, description='Angle (deg)'),\n", " show_proj_path=widgets.Checkbox(True, description='Show projection path'))\n", " def plot_rotated_results(angle_counter_clock_degree, show_proj_path):\n", "\n", " # แปลงค่ามุมจากองศามาเป็น radians\n", " angle_rad = angle_counter_clock_degree*np.pi/180\n", "\n", " # คำนวนค่าความชันของเส้นที่เราจะ project ข้อมูลไปบนนั้น\n", " slope = np.tan(angle_rad)\n", "\n", " # ทำการ project ข้อมูล\n", " data_projected_coords = np.expand_dims(data_proj_ex[:,0]*np.cos(angle_rad) + data_proj_ex[:,1]*np.sin(angle_rad), axis=1) * np.expand_dims(np.array([np.cos(angle_rad), np.sin(angle_rad)]), axis=0)\n", "\n", " # สร้าง figure\n", " fig, ax = plt.subplots(figsize=(6,6))\n", "\n", " # Plot ข้อมูล x, y ที่มีอยู่ด้วยสีน้ำเงิน\n", " ax.scatter(data_proj_ex[data_proj_ex[:, 0] < 0, 0], data_proj_ex[data_proj_ex[:, 0] < 0, 1], c='b') # Plot จุดข้อมูลที่เป็น class 1\n", " ax.scatter(data_proj_ex[data_proj_ex[:, 0] > 0, 0], data_proj_ex[data_proj_ex[:, 0] > 0, 1], c='r') # Plot จุดข้อมูลที่เป็น class 2\n", " ax.plot(x_disp, [slope*x_disp[0], slope*x_disp[1]], c=\"m\", alpha=1) # แสดงรูปเส้นที่เราจะ project ข้อมูลไปบนนั้น\n", " ax.set(xlabel=\"x\", ylabel=\"y\")\n", " ax.scatter(data_projected_coords[data_proj_ex[:, 0] < 0, 0], data_projected_coords[data_proj_ex[:, 0] < 0, 1], c='b', alpha=0.3) # Plot จุดข้อมูลที่เป็น class 1\n", " ax.scatter(data_projected_coords[data_proj_ex[:, 0] > 0, 0], data_projected_coords[data_proj_ex[:, 0] > 0, 1], c='r', alpha=0.3) # Plot จุดข้อมูลที่เป็น class 1\n", "\n", " # ทำการ plot ตัว projection line\n", " if show_proj_path:\n", " for idx_pt in range(data_projected_coords.shape[0]):\n", " ax.plot([data_proj_ex[:, 0], data_projected_coords[:, 0]],[data_proj_ex[:, 1], data_projected_coords[:, 1]], 'gray', alpha=0.01)\n", "\n", " ax.set_title(f\"Data rotated by {angle_counter_clock_degree} degrees (counter-clockwise centered at (0,0))\")\n", " plt.setp(ax, xlim=x_disp, ylim=y_disp)\n", " plt.show()\n", "\n", "projection_example()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "b509et_aTZKE" }, "source": [ "ถ้าหากเราเริ่มต้นด้วยข้อมูลใน space ที่มี 2 มิติ (แกน $x$ และแกน $y$) เทคนิค PCA จะสามารถหาจำนวนแกนใหม่มาได้เท่ากับจำนวนแกนในตอนแรก (2 แกน) เลย โดยที่จะเรียกแกนเหล่านั้นว่า principal component ตัวแรก (PC1) และ ตัวที่สอง (PC2) โดยมีคุณสมบัติที่สำคัญ ดังนี้\n", "\n", "\n", "* PC1 จะเป็นแกนที่มีค่า variance ของการกระจายตัวมากกว่าหรือเท่ากับ PC2\n", "* PC1 จะตั้งฉากกับ PC2\n", "* ทั้ง PC1 และ PC2 มีขนาดเท่ากับ 1 (เป็น unit vector)\n", "\n", "ถ้าหากเราอยากจะลดมิติข้อมูล เราก็แค่เก็บเฉพาะ PC ที่มีค่า variance สูง ๆ\n", "\n", "เราจะมาลองทดสอบ PCA กับข้อมูลจากตัวอย่างด้านบน ผ่านการเรียกใช้ `sklearn.decomposition.PCA` กัน\n", "\n", "**หมายเหตุ**\n", "\n", "\n", "\n", "\n", "1. เทคนิค PCA เป็นเทคนิคเชิงเส้นประเภท unsupervised learning ซึ่งจะไม่ใช้ข้อมูล class กล่าวคือ PCA จะหาแกนใหม่ ๆ มาโดยที่ไม่รู้ว่าแต่ละจุดข้อมูลเป็นข้อมูลจาก class ไหนเลย ในตัวอย่างด้านบน ซึ่งมี 2 ประเภท (class สีน้ำเงิน และ class สีแดง) เราจะพูดได้ว่า PCA ทำงานโดยไม่สนใจเลยว่าจุดไหนมีสีอะไร เราสามารถมองได้ว่า PCA ทำงานโดยการมองทุกจุดเป็นจุดสีเดียวกันหมด (เช่น มองเป็นสีดำ) ก็ได้\n", "2. ในหลาย ๆ กรณี ในชุดข้อมูลหลายชุด จะมีข้อมูล class ของแต่ละจุดข้อมูลมาด้วย เวลาเราทำ PCA เราก็จะไม่ใช้ข้อมูล class เหล่านั้น แต่เวลาเราจะ plot ผลหลังการทำ PCA เรามักจะนำเอาข้อมูล class เหล่านั้นมาระบายสีจุดที่ผ่านเทคนิค PCA มาแล้ว เพื่อดูว่าจุดข้อมูลจากแต่ละ class นั้นเรียงตัวกันอยู่ใน space ใหม่ (ที่เกิดจากแกน PC ต่าง ๆ) อย่างไร ซึ่งเราจะมาลองทำแบบนี้กับตัวอย่างสุดท้ายของ tutorial นี้" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 508 }, "id": "x1niLzuJjqH1", "outputId": "d869dc7d-df1e-4776-d9b0-535fa97819cc" }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# สร้าง PCA สำหรับตัวอย่างนี้เราจะไม่ whiten ข้อมูลของเรา โดยการกำหนด whiten=False แต่ในการใช้งานจริง การทำ whitening เป็นสิ่งที่ค่อนข้างมีความสำคัญมาก\n", "model_PCA = PCA(n_components=2, whiten=False)\n", "model_PCA.fit(data)\n", "\n", "# ดึงเอา principal component (pc) ออกมา\n", "pc1 = model_PCA.components_[0]\n", "pc2 = model_PCA.components_[1]\n", "\n", "# คำนวณหาความชันของเส้นตรงที่วิ่งผ่านจุด (0,0) และว่ิงไปในทิศทางเดียวกับ principal component -> y = m*x\n", "m_pc1 = pc1[1]/pc1[0]\n", "m_pc2 = pc2[1]/pc2[0]\n", "\n", "# คำนวณพิกัดใหม่ของทุกจุดข้อมูล\n", "data_pca = model_PCA.transform(data)\n", "\n", "# เตรียมแสดงผล\n", "x_disp = [-6.0, 6.0] # ค่าต่ำสูงและสูงสุดของ x สำหรับแสดงผล\n", "y_disp = [-6.0, 6.0] # ค่าต่ำสูงและสูงสุดของ y สำหรับแสดงผล\n", "\n", "fig, ax = plt.subplots(1, 3, figsize=(18, 6))\n", "\n", "# แสดงรูปข้อมูลเริ่มต้น\n", "ax[0].scatter(data[:, 0], data[:, 1], c='b')\n", "ax[0].plot([0, 0], y_disp, c=\"grey\") # Plot แกน y\n", "ax[0].plot(x_disp, [0, 0], c=\"grey\") # Plot แกน x\n", "ax[0].set(xlabel='x', ylabel='y')\n", "ax[0].set_title(\"Original data\")\n", "\n", "# แสดงรูปข้อมูลเริ่มต้นโดยมี principal component ทั้ง 2 อันแสดงอยู่ด้วย\n", "ax[1].scatter(data[:, 0], data[:, 1], c='b')\n", "ax[1].plot(x_disp, [m_pc1*x_disp[0], m_pc1*x_disp[1]], c=\"m\", alpha=1) # แสดง pc1 โดยใช้สมการ y = m1*x\n", "ax[1].plot(x_disp, [m_pc2*x_disp[0], m_pc2*x_disp[1]], c=\"m\", alpha=0.3) # แสดง pc2 โดยใช้สมการ y = m2*x\n", "ax[1].set(xlabel='x', ylabel='y')\n", "ax[1].set_title(\"Original data with the principal components shown\")\n", "\n", "# แสดงข้อมูลหลังถูก transform ด้วย PCA (หน้าตาจะเหมือนกับรูปที่แล้ว แต่มีการหมุนแกน)\n", "ax[2].scatter(data_pca[:, 0], data_pca[:, 1], c='b', alpha=1)\n", "ax[2].plot(x_disp, [0, 0], c=\"m\", alpha=1) # แสดงผลโดยการหมุนแกน pc1 ให้มาอยู่ที่ตำแหน่งแกน x\n", "ax[2].plot([0, 0], y_disp, c=\"m\", alpha=0.3) # แสดงผลโดยการหมุนแกน pc2 ให้มาอยู่ที่ตำแหน่งแกน y\n", "ax[2].set(xlabel=f\"PC1 score (explained var = {model_PCA.explained_variance_ratio_[0]*100: 0.2f}%)\",\n", " ylabel=f\"PC2 score (explained var = {model_PCA.explained_variance_ratio_[1]*100: 0.2f}%)\")\n", "ax[2].set_title(\"PCA-tranformed data\")\n", "\n", "plt.setp(ax, xlim=x_disp, ylim=y_disp)\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "y3eU_kvdm38j" }, "source": [ "ข้อสังเกต\n", "\n", "\n", "1. ภาพซ้ายมือสุดแสดงข้อมูลใน space ตั้งต้นที่มี 2 มิติ (แกน $x$ และ แกน $y$) เราสามารถ represent แต่ละจุดข้อมูลด้วยตัวเลข 2 ตัวในรูปแบบ $(x,y)$ โดยที่ $x$ เป็นค่าของจุดข้อมูลถ้าเรา project ข้อมูลลงไปบนแกน $x$ และ $y$ เป็นค่าของจุดข้อมูลถ้าเรา project ข้อมูลลงไปบนแกน $y$ จะเห็นได้ว่าในที่นี้เกือบทุกจุดข้อมูลมีค่า $x$ และ ค่า $y$ ไม่เป็น $0$\n", "\n", "2. ภาพกลางแสดงข้อมูลใน space 2 มิติ เหมือนในภาพซ้ายมือ แต่เราจะแสดงข้อมูลแกนที่เทคนิค PCA หามา ประกอบด้วย PC1 (สีชมพูเข้ม) และ PC2 (สีชมพูอ่อน) แทนแกน $x$ และ แกน $y$ เก่า\n", "\n", "3. ภาพขวาสุด เหมือนกับภาพกลาง เพียงแต่เราหมุนรูปให้ PC1 มาแทนที่แกน $x$ เก่า เพื่อให้เรามองและตีความอ่านภาพได้ง่ายขึ้น (ภาพขวาสุดจะเป็นผลที่ได้จากการเอียงศีรษะดูภาพกลาง) ในภาพนี้เราสามารถ represent แต่ละจุดข้อมูลด้วยตัวเลข 2 ตัวในรูปแบบ (PC1 score, PC2 score) โดยที่ PC1 score เป็นค่าของจุดข้อมูลถ้าเรา project ข้อมูลลงไปบนแกน PC1 และ PC2 score เป็นค่าของจุดข้อมูลถ้าเรา project ข้อมูลลงไปบนแกน PC2 จะเห็นได้ว่าในที่นี้ทุกจุดข้อมูลมีค่า PC2 score เป็นศูนย์ ในที่นี้ เราสามารถกำจัด PC2 ออกไปได้โดยที่เราไม่เสียข้อมูล ซึ่งแปลว่าเราจะ represent จุดข้อมูลแต่ละจุดด้วยตัวเลขตัวเดียว ที่มีค่าเท่ากับ PC1 score\n", "\n", "เราสามารถเรียกดู attribute ที่ชื่อว่า `explained_variance_ratio_` มาดูว่าแต่ละ PC ที่ PCA หามา มันอธิบาย variance ในข้อมูลเราได้กี่เปอร์เซนต์" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "b8GgzjEmiygc", "outputId": "581c8353-e971-4132-9063-b2551a3e0ebb" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "% variance captured by PC1 = 100.00\n", "% variance captured by PC2 = 0.00\n" ] } ], "source": [ "print(f\"% variance captured by PC1 = {model_PCA.explained_variance_ratio_[0]*100: 0.2f}\")\n", "print(f\"% variance captured by PC2 = {model_PCA.explained_variance_ratio_[1]*100: 0.2f}\")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "NEF4L59Gi1Xm" }, "source": [ "จะเห็นว่า PC1 สามารถอธิบาย variance ในข้อมูลได้ 100% ซึ่งก็ตรงกับภาพด้านบนที่เราพบว่าข้อมูลเรากระจายตัวกันอยู่บน PC1 ในขณะที่ไม่มีข้อมูลกระจายตัวอยู่ในทิศทาง PC2 เลย (อธิบาย variance 0%)\n", "\n", "---\n", "ในตัวอย่างถัดไป เรามาลองใช้ PCA กับข้อมูลมีการกระจายตัวเป็นวงรีกัน" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 646 }, "id": "nGyqWvVYRnhE", "outputId": "3435f70a-5174-4491-81dc-3c4fab447064" }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "% variance captured by PC1 = 85.18\n", "% variance captured by PC2 = 14.82\n" ] } ], "source": [ "num_points = 200\n", "\n", "# สร้างจุดขึ้นมาเป็นจำนวน num_points จุด ซึ่งมาจาก multi-variate normal distribution\n", "data = multivariate_normal(mean=[0, 0], cov=[[3, 1], [1, 1]], size=num_points)\n", "\n", "# สร้าง PCA สำหรับตัวอย่างนี้เราจะไม่ whiten ข้อมูลของเรา โดยการกำหนด whiten=False แต่ในการใช้งานจริง การทำ whitening เป็นสิ่งที่ค่อนข้างมีความสำคัญมาก\n", "model_PCA = PCA(n_components=2, whiten=False)\n", "model_PCA.fit(data)\n", "\n", "# ดึงเอา principal component (pc) ออกมา\n", "pc1 = model_PCA.components_[0]\n", "pc2 = model_PCA.components_[1]\n", "\n", "# คำนวณหาความชันของเส้นตรงที่วิ่งผ่านจุด (0,0) และว่ิงไปในทิศทางเดียวกับ principal component -> y = m*x\n", "m_pc1 = pc1[1]/pc1[0]\n", "m_pc2 = pc2[1]/pc2[0]\n", "\n", "# คำนวณพิกัดใหม่ของทุกจุดข้อมูล\n", "data_pca = model_PCA.transform(data)\n", "\n", "# เตรียมแสดงผล\n", "x_disp = [-6.0, 6.0] # ค่าต่ำสูงและสูงสุดของ x สำหรับแสดงผล\n", "y_disp = [-6.0, 6.0] # ค่าต่ำสูงและสูงสุดของ y สำหรับแสดงผล\n", "\n", "fig, ax = plt.subplots(1, 3, figsize=(18, 6))\n", "\n", "# แสดงรูปข้อมูลเริ่มต้น\n", "ax[0].scatter(data[:, 0], data[:, 1], c='b')\n", "ax[0].plot([0, 0], y_disp, c=\"grey\") # Plot แกน y\n", "ax[0].plot(x_disp, [0, 0], c=\"grey\") # Plot แกน x\n", "ax[0].set(xlabel='x', ylabel='y')\n", "ax[0].set_title(\"Original data\")\n", "\n", "# แสดงรูปข้อมูลเริ่มต้นโดยมี principal component ทั้ง 2 อันแสดงอยู่ด้วย\n", "ax[1].scatter(data[:, 0], data[:, 1], c='b')\n", "ax[1].plot(x_disp, [m_pc1*x_disp[0], m_pc1*x_disp[1]], c=\"m\", alpha=1) # แสดง pc1 โดยใช้สมการ y = m1*x\n", "ax[1].plot(x_disp, [m_pc2*x_disp[0], m_pc2*x_disp[1]], c=\"m\", alpha=0.3) # แสดง pc2 โดยใช้สมการ y = m2*x\n", "ax[1].set(xlabel='x', ylabel='y')\n", "ax[1].set_title(\"Original data with the principal components shown\")\n", "\n", "# แสดงข้อมูลหลังถูก transform ด้วย PCA (หน้าตาจะเหมือนกับรูปที่แล้ว แต่มีการหมุนแกน)\n", "ax[2].scatter(data_pca[:, 0], data_pca[:, 1], c='b')\n", "ax[2].plot(x_disp, [0, 0], c=\"m\", alpha=1) # แสดงผลโดยการหมุนแกน pc1 ให้มาอยู่ที่ตำแหน่งแกน x\n", "ax[2].plot([0, 0], y_disp, c=\"m\", alpha=0.3) # แสดงผลโดยการหมุนแกน pc2 ให้มาอยู่ที่ตำแหน่งแกน y\n", "ax[2].set(xlabel=f\"PC1 score (explained var = {model_PCA.explained_variance_ratio_[0]*100: 0.2f}%)\",\n", " ylabel=f\"PC2 score (explained var = {model_PCA.explained_variance_ratio_[1]*100: 0.2f}%)\")\n", "ax[2].set_title(\"PCA-tranformed data\")\n", "\n", "plt.setp(ax, xlim=x_disp, ylim=y_disp)\n", "plt.show()\n", "\n", "\n", "# Plot ข้อมูลที่ลดมิติโดยการตัดแกน PC2 ทิ้งไป\n", "plt.figure(figsize=(4, 0.5))\n", "plt.scatter(data_pca[:, 0], np.zeros_like(data_pca[:, 0]), c='b')\n", "ax[2].plot(x_disp, [0, 0], c=\"m\", alpha=1) # แสดงผลโดยการหมุนแกน pc1 ให้มาอยู่ที่ตำแหน่งแกน x\n", "plt.xlim(x_disp)\n", "plt.ylim(-0.5, 0.5)\n", "plt.title(\"Data in the resulting 1-dimensional space\")\n", "plt.yticks([])\n", "plt.show()\n", "\n", "print(f\"% variance captured by PC1 = {model_PCA.explained_variance_ratio_[0]*100: 0.2f}\")\n", "print(f\"% variance captured by PC2 = {model_PCA.explained_variance_ratio_[1]*100: 0.2f}\")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "wyclnKvXm0wI" }, "source": [ "จะเห็นได้ว่าในตัวอย่างนี้เทคนิค PCA หาแกน PC1 ซึ่งเป็นแกนที่สามารถอธิบาย variance ในข้อมูลได้สูงที่สุด (มากกว่า 80%) และหาแกน PC2 ที่เป็นแกนที่ตั้งฉากกับ PC1 โดยที่สามารถอธิบาย variance ในข้อมูลได้น้อยกว่าแกน PC1 ซึ่งถ้าเอาสองแกนนี้รวมกันก็จะสามารถอธิบาย variance ข้อมูลได้รวมกัน 100%\n", "\n", "ถ้าเราต้องการลดมิติลงโดยการเลือกตัดแกนใดแกนหนึ่งทิ้ง เราอาจจะตัดแกน PC2 ทิ้งไป เนื่องจากอธิบาย variance ได้น้อยกว่าก็ได้\n", "\n", "

\n", "\n", "---\n", "\n", "เรามาดูตัวอย่างสุดท้ายของ part นี้กัน ในตัวอย่างนี้เราจะลองใช้ PCA กับข้อมูลที่มาจากสอง classes ตามโค้ดด้านล่าง\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 612 }, "id": "xq_m_NuCKY3c", "outputId": "4105c8e8-36b8-49df-aeb4-eab2b95a61e2" }, "outputs": [ { "data": { "image/png": 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2pKQkq2HDhtZxxx2Xu837N3jKKadYLperQBul+fucMGGCBVgzZswoFJu/38nw4cMtwLr55psL7D9w4EArPDzc2rdvX+72I/8Os7OzrU6dOlmnn356ofdi+PDhRb1NuX755RcLsMaNG+cz3uXLl1uAde211xZ4/I477rAA65dffilwTMBauHBh7rY5c+ZYgBUVFWVt27Ytd/vrr79e6O8l2Pfhyy+/tADrkUceKRDT0KFDLZvNZm3cuDF3G2CFh4cX2PbPP/9YgPXiiy/mbhs1apTVsGFDa//+/QXavPTSS62EhITc933u3LkWYLVv377A/+fnn3/eAqwVK1bkbvP1WXD++edbHTt2LLQ9kGCe5/1sPvIzZciQIVbt2rVz7wf7ey3pZ09x3ieR6s7b7/z000/Wvn37rP/++8/65JNPrNq1a1tRUVHW9u3bLcuyrJo1a1pdu3YtVts33XST1bRp09z/mz/88IMFWMuWLQvq+TExMUX2Jf6+Ixb1fenjjz8u1I8G+3llWZbVt2/fQp9/xe0L7Ha7tWrVqgL7et/7/v37575HlmVZJ554omWz2awbbrghd5vL5bKaNGli9e3bN3fb/PnzLcD68MMPC7Q7e/bsAtv37t1rhYeHWwMHDixwnHvvvdcCAvbX3tf65JNPFoinT58+hb5TBPv+T5kypdD3HX9t9O/f32rVqpXfOKX6UnkTkTKSkpICQFxcnN/9vI8nJycX2H7DDTcEPIZ3yqt3NJLXzTffHHScHTp0KDCism7duhx77LFs3rw5d1tERETu6Ca3282BAweIjY3l2GOPZenSpUEfy+v777+nd+/e9OzZs8Bxr7jiikL75h/FmJKSwv79++nTpw/p6emsXbs24LEcDgfh4eGAmdJ18OBBXC4XPXr0KFHsIlJ+9LnpW2X53Kxbty7t2rVj3rx5APz+++84HA7uvPNO9uzZw4YNGwAz2vKUU04psmRJsC655BJq1qyZe9/7O8n/eyiJYH6/n3/+OX369KFmzZrs378/93bmmWfidrtzX78/jRo1YsiQIbn34+Pjufrqq1m2bBm7d+8usO91110XdP3uYOL/4osv6Nq1a4HjewXzO7npppsK7H/TTTeRnZ3NTz/9lLs9/9/hoUOHSEpKok+fPiX6+//iiy+w2WxMnDjRZ7zff/89YMpc5Hf77bcDFJod0qFDB0488cTc+7169QLMNP1mzZoV2l7U31Wg9+H777/H4XDkjjLOH5NlWcyaNavA9jPPPLPA6MQuXboQHx+fe2zLsvjiiy8YPHgwlmUV+Nvr378/SUlJhd7fkSNH5v5/huL9P6lRowbbt28PWDaoNM878nO7T58+HDhwIPfzPdjfa2k/e0rzPolUN2eeeSZ169aladOmXHrppcTGxjJz5kwaN24MmO9ngb7L5edyufj000+55JJLcv9vektWFHdBS1+K+o6Yv5/KzMxk//799O7dG6DIvirQ55Uvxe0L+vbtS4cOHYpsa9SoUQU+v3r16oVlWYwaNSp3m8PhoEePHoW+tyQkJHDWWWcV6Du6d+9ObGxsbgm7n376iezs7NzyUF5HziLy91qdTic33nhjgXiK+p5d3Pe/KPnbSEpKYv/+/fTt25fNmzeTlJQUVBtSvai8iUgZ8Xb03iSOL76SPC1btgx4jG3btmG32wvt26ZNm6DjzH9i51WzZs0Ctb28dTRfeeUVtmzZUqAurHcaW3Fs27Yt9yQyv2OPPbbQtlWrVnH//ffzyy+/FPpCEWxH9u677/L000+zdu1acnJycrcH8x6LyNGjz03/cVeWz80+ffrkJqrmz59Pjx496NGjB7Vq1WL+/PnUr1+ff/75x295hGAc+XvwJsCPrE1Z2na9bedvd8OGDSQmJhaqO++1d+/egMdp06ZNocRb27ZtAVMbtEGDBrnbi9NfBRP/pk2buOiii4JuMz+73V5oEdn8cXt9++23PPLIIyxfvrxA7eWSXOjYtGkTjRo1olatWj738f7fPvL/coMGDahRowbbtm0rsP3I9ykhIQGApk2bFrn9yL+rYN6Hbdu20ahRo0KfVd5yOoFigoK/u3379nH48GHeeOMN3njjjUL7QuG/vdL8P7nrrrv46aef6NmzJ23atOHss8/m8ssv5+STTy6z5/mLLz4+vli/19J89pTX54lIVfTyyy/Ttm1bnE4n9evX59hjjy1Q/ik+Pj7gd7n8fvjhB/bt20fPnj0L1NLv168fH3/8MU888QR2u52kpCQyMjJyHw8PD/fbL+RXVD968OBBHnroIT755JNCn51FfV8K9HnlS3H7An99fnH6riO/tyQlJVGvXr0i2/W+fm8sxxxzTIHH69atW2CggS/btm2jYcOGuWWyvIr6vlrc978ov//+OxMnTuSPP/4otB5EUlJS7vsj4qWkt0gZSUhIoGHDhiQmJvrdLzExkcaNGxfqKIuq01oefI0cs/LVw33sscd44IEHuOaaa5g0aRK1atXCbrdz6623BrVgV0kdPnyYvn37Eh8fz8MPP0zr1q2JjIxk6dKl3HXXXUEd+4MPPmDEiBFccMEF3HnnndSrVw+Hw8HkyZNz68+JSMWgz83Sqwifm6eccgpvvvkmmzdvZv78+fTp0webzcYpp5zC/PnzadSoER6Px2fd9mAF83sor3Y9Hg9nnXUW48ePL3Jfb/KzrBTnb7u83pfimD9/Pueddx6nnnoqr7zyCg0bNiQsLIxp06YFvTBZSQWbVPf1PoXy/Qt0bO//3yuvvLLI+qhgRocXp01/2rdvz7p16/j222+ZPXs2X3zxBa+88goTJkzgoYceKpPnBRtfML/X0nz2VIT/NyKVRc+ePXPXUihKu3btWL58OdnZ2QVmUPjiHc09bNiwIh//7bff6NevH7fccgvvvvtu7va+ffsWWojal6L60WHDhrFw4ULuvPNOunXrRmxsLB6Ph3POOafI70tH63PCX59fnL7ryO8t/kbO+7qIX56K+/4fadOmTZxxxhm0a9eOZ555hqZNmxIeHs7333/Ps88+W67ft6XyUtJbpAwNGjSIN998kwULFuSuEp3f/Pnz2bp1K6NHjy5R+82bN8fj8bBly5YCV2PLerX56dOn069fP6ZOnVpg++HDh/0uduVL8+bNc6eZ5rdu3boC93/99VcOHDjAjBkzCiw45F0ZPD9fJ0PTp0+nVatWzJgxo8A+RU2RFpHQ0+dm0SrT56Y3ofTjjz+yZMkS7r77bsAsHPfqq6/SqFEjYmJi6N69u992SlP6pLzbbd26NampqZx55pklbmPjxo1YllUgnvXr1wPQokWL0oboV+vWrVm5cmWJnuvxeNi8eXOBxP6RcX/xxRdERkYyZ84cIiIicvebNm1aieOdM2cOBw8e9Dmqz/t/e8OGDQUWJt2zZw+HDx+mefPmJTq2L8G8D82bN+enn34iJSWlwAg/b5mh4sZUt25d4uLicLvdpfrbO5K//xMxMTFccsklXHLJJWRnZ3PhhRfy6KOPcs899xAZGVnmzztScX6vZfXZIyKlM3jwYP744w+++OILLrvsMr/7pqWl8dVXX3HJJZcUufDluHHj+PDDD+nXrx/jx4/nyiuvzH0s/8jj4vbthw4d4ueff+ahhx5iwoQJuduL+q5VWmXdF5RE69at+emnnzj55JP9JtW9sWzYsKHAbKZ9+/YFNfOlefPm/Pzzz6SmphYY7X3k99XivP++frfffPMNWVlZfP311wVGwHtLtYgURTW9RcrQnXfeSVRUFKNHj+bAgQMFHjt48CA33HAD0dHR3HnnnSVqv3///gC88sorBba/+OKLJQvYB4fDUegK9ueff86OHTtK1N6AAQP4888/Wbx4ce62ffv2Fbry7L1inf/Y2dnZhV4vmJOroqZBFdXGokWL+OOPP0oUu4iUL31uFq0yfW62bNmSxo0b8+yzz5KTk5Nb0qBPnz5s2rSJ6dOn07t3b5xO/2MtYmJiAHOhoCyVRbvDhg3jjz/+YM6cOYUeO3z4MC6XK2AbO3fuZObMmbn3k5OTee+99+jWrVuB0ibl4aKLLuKff/4pcHyvYEasvfTSSwX2f+mllwgLC+OMM84AzN+QzWYrUNZn69atfPnllyWO17KsIkcXe+MdMGAAAM8991yBx5955hkABg4cWKJj+xPofRgwYABut7vAfgDPPvssNpuNc889t1jHczgcXHTRRXzxxRdFXrTYt29fCV6F78+CIz+Dw8PD6dChA5ZlFSh7VFbPK0pxfq9l9dkjIqVzww030LBhQ26//fbci4H57d27l0ceeQSAmTNnkpaWxtixYxk6dGih26BBg/jiiy/IysqiQ4cOnHnmmbm3/BewYmJiitWvF/VdBwp/1pSFsu4LSmLYsGG43W4mTZpU6DGXy5X73p155pmEhYXx4osvFnhvgn1fBgwYgMvl4tVXX83d5na7C33PLs777+t7W1FtJCUllfgCu1QP+gYgUoaOOeYY3n33Xa644go6d+7MqFGjaNmyJVu3bmXq1Kns37+fjz/+uMCiRcXRvXt3LrroIp577jkOHDhA7969+e2333K/XJTVKLlBgwbx8MMPM3LkSE466SRWrFjBhx9+WKiWZbDGjx/P+++/zznnnMMtt9xCTEwMb7zxBs2bNy9Q1uCkk06iZs2aDB8+nHHjxmGz2Xj//feLPCHv3r07n376Kf/73/844YQTiI2NZfDgwQwaNIgZM2YwZMgQBg4cyJYtW3jttdfo0KEDqampJX5PRKR86HOzaJXtc7NPnz588skndO7cOXck1vHHH09MTAzr168Pqp6392R23Lhx9O/fH4fDwaWXXhrU8f3p1q0bDoeDJ554gqSkJCIiInIXzArWnXfeyddff82gQYMYMWIE3bt3Jy0tjRUrVjB9+nS2bt0acER/27ZtGTVqFEuWLKF+/fq8/fbb7Nmz56icrN15551Mnz6diy++mGuuuYbu3btz8OBBvv76a1577TW6du3q87mRkZHMnj2b4cOH06tXL2bNmsV3333Hvffemzs9euDAgTzzzDOcc845XH755ezdu5eXX36ZNm3aBCxfVJR+/fpx1VVX8cILL7Bhw4bcqc/z58+nX79+3HTTTXTt2pXhw4fzxhtv5Jb5Wbx4Me+++y4XXHAB/fr1K/H7VdL3YfDgwfTr14/77ruPrVu30rVrV3744Qe++uorbr311hJ9jj3++OPMnTuXXr16cd1119GhQwcOHjzI0qVL+emnnzh48GCx2/T1WXD22WfToEEDTj75ZOrXr8+aNWt46aWXGDhwoN9F6kr6vKIU9/daFp89IlI6NWvWZObMmQwYMIBu3bpx5ZVX5vbpS5cu5eOPP85dSPjDDz+kdu3anHTSSUW2dd555/Hmm2/y3XffceGFF/o8Zvfu3fnpp5945plnaNSoES1btixyLRSv+Ph4Tj31VJ588klycnJo3LgxP/zwQ5Ez40qrPPqC4urbty+jR49m8uTJLF++nLPPPpuwsDA2bNjA559/zvPPP8/QoUOpW7cud9xxB5MnT2bQoEEMGDCAZcuWMWvWrKBmKg4ePJiTTz6Zu+++m61bt9KhQwdmzJhR6MJqcd5/79/Offfdx6WXXkpYWFhuHxUeHs7gwYMZPXo0qampvPnmm9SrV49du3aVzRsnVY8lImUuMTHRuuyyy6yGDRtaYWFhVoMGDazLLrvMWrFiRaF9J06caAHWvn37fD6WX1pamjV27FirVq1aVmxsrHXBBRdY69atswDr8ccfz91v2rRpFmBt2bIld1vz5s2tgQMHFjpO3759rb59++bez8zMtG6//XarYcOGVlRUlHXyySdbf/zxR6H9tmzZYgHWtGnTgnpP+vbta0VGRlqNGze2Jk2aZE2dOrVQjL///rvVu3dvKyoqymrUqJE1fvx4a86cORZgzZ07N3e/1NRU6/LLL7dq1KhhAVbz5s0ty7Isj8djPfbYY1bz5s2tiIgI67jjjrO+/fZba/jw4bn7iEjFo8/Not+TyvK5+fLLL1uAdeONNxbYfuaZZ1qA9fPPPxfYXtT74HK5rJtvvtmqW7euZbPZcn+P3n2nTJlS6LiANXHixIDxvfnmm1arVq0sh8NR4H0J9vdrWZaVkpJi3XPPPVabNm2s8PBwq06dOtZJJ51kPfXUU1Z2drbf43uPM2fOHKtLly5WRESE1a5dO+vzzz8vsJ/3b3DJkiWF2ijN36dlWdaBAwesm266yWrcuLEVHh5uNWnSxBo+fLi1f/9+y7KK/p0MHz7ciomJsTZt2mSdffbZVnR0tFW/fn1r4sSJltvtLtD+1KlTrWOOOSb3tU2bNq3I/4/Nmze3hg8f7vf9sizz9zBlyhSrXbt2Vnh4uFW3bl3r3HPPtf7+++/cfXJycqyHHnrIatmypRUWFmY1bdrUuueee6zMzMxCxyzqfQKssWPHFthW1N9bcd6HlJQU67bbbrMaNWpkhYWFWcccc4w1ZcoUy+PxBDy2r/dnz5491tixY62mTZvmfj6eccYZ1htvvJG7z9y5cy2g0N9UUb9XX58Fr7/+unXqqadatWvXtiIiIqzWrVtbd955p5WUlFQozvyCeZ6vz+2i/q6D/b1aVvE/e4rzPolUd/76pKLs3LnTuu2226y2bdtakZGRVnR0tNW9e3fr0UcftZKSkqw9e/ZYTqfTuuqqq3y2kZ6ebkVHR1tDhgzxe6y1a9dap556qhUVFWUBuZ+b/r4jbt++3RoyZIhVo0YNKyEhwbr44outnTt3FvouUZzPq759+1odO3YsdKzS9gW+3ntfsXn7qSO98cYbVvfu3a2oqCgrLi7O6ty5szV+/Hhr586dufu43W7roYceyv0Oe9ppp1krV64Mur8+cOCAddVVV1nx8fFWQkKCddVVV1nLli0r9Jka7PtvWZY1adIkq3Hjxpbdbi/wnn/99ddWly5drMjISKtFixbWE088Yb399tuFfi8iXjbL0modIpXd8uXLOe644/jggw+44oorQh2OiEiFp89NOZpatGhBp06d+Pbbb0MdSrGMGDGC6dOnV/uZUnofRERERCof1fQWqWQyMjIKbXvuueew2+0FFjETERFDn5siIiIiIiLVi2p6i1QyTz75JH///Tf9+vXD6XQya9YsZs2axfXXX0/Tpk1DHZ6ISIWjz00REREREZHqRUlvkUrmpJNO4scff2TSpEmkpqbSrFkzHnzwQe67775QhyYiUiHpc1NERERERKR6qVQ1vXfs2MFdd93FrFmzSE9Pp02bNkybNo0ePXqEOjQRERHJR322iIhIxaf+WkREqqpKM9L70KFDnHzyyfTr149Zs2ZRt25dNmzYQM2aNUMdmoiIiOSjPltERKTiU38tIiJVWaUZ6X333Xfz+++/M3/+/FCHIiIiIn6ozxYREan41F+LiEhVVmmS3h06dKB///5s376d3377jcaNGzNmzBiuu+46n8/JysoiKysr977H4+HgwYPUrl0bm812NMIWEZFqxLIsUlJSaNSoEXa7PdThhExx+2z11yIicjSpvzbUX4uISEVXqj7bqiQiIiKsiIgI65577rGWLl1qvf7661ZkZKT1zjvv+HzOxIkTLUA33XTTTTfdjurtv//+O4o9ZMVT3D5b/bVuuummm26huKm/Vn+tm2666aZb5biVpM+uNCO9w8PD6dGjBwsXLszdNm7cOJYsWcIff/xR5HOOvBKdlJREs2bN+O+//4iPjy/3mEUqs+zsbJ5++mkAbr/9dsLDw0MckUjFl5ycTNOmTTl8+DAJCQmhDidkittnB+qvLcsi9Z9UsndlY3PaiO8djzOu0ixLIiIiFYz6a6Os+2sR8c9yWxz84SAAtc6uhc2hGRIigZSmz640Z4wNGzakQ4cOBba1b9+eL774wudzIiIiiIiIKLQ9Pj5enbJIANnZ2URGRgLm/4yS3iLBq+5TfIvbZwfTX8efEk/yH8nkHMyBNRBzSgyOSEfZBy8iItWG+uuy769FxDfLbZETnQOY/zdKeosEryR9dqUpYHbyySezbt26AtvWr19P8+bNQxSRiIiIFKU8+myb3UZczzgcsQ48GR5SFqfgcXlKG6qIiFRD3pGW1Z3OsUVEpCqrNEnv2267jT///JPHHnuMjRs38tFHH/HGG28wduzYUIcmIiIi+ZRXn20PsxPfKx57uB1XkovUv1OpJFXaRESkgkj6M4k1V60JdRgVgs6xRUSkKqs0Se8TTjiBmTNn8vHHH9OpUycmTZrEc889xxVXXBHq0ERERCSf8uyzHdEO4nrFYXPYyN6bTdqKtDKIWEREqoO0NWmsGLgCT6ZmCoHOsUVEpGqrNDW9AQYNGsSgQYNCHYaIiIgEUJ59dliNMGKPjyVlSQqZ2zKxR9uJbhNdLscSEZGqIXN7Jon9E3EddBHbPRb+DnVEFYPOsUVEpKqqNCO9RURERLwiGkQQ0ykGgPQ16WTtzApxRCIiUlHlHMwhsX8iWf9lEd0umk7TO4U6JBERESlnSnqLiIhIpRTVMoqoVlEApC5LJedgTogjEhGRisad7mbFeStIX51OeONwuszpQlitsFCHJSIiIuVMSW8RERGptKI7RBPeIBzLY5G8OBlXqivUIYmISAXhcXlYfelqkn9PxlnDSZfZXYhsFhnqsEREROQoUNJbREREKi2bzUbc8XE4azqxcixSFqXgydICZSIi1Z1lWawfvZ4D3xzAHmmn0zediO0UG+qwRERE5ChR0ltEREQqNZvDRvwJ8TiiHbjT3SQvScZyW6EOS0REQmjL/VvY/fZusEOHTzpQ45QaoQ5JREREjiIlvUVERKTSs0fYiesVhy3MhuuQi5SlKViWEt8iItXR9he28+9j/wLQ9vW21Dm/TogjEhERkaNNSW8RERGpEpyxTuJ7xmOz28jenU366vRQhyQiIkfZnk/2sPHWjQC0fKQlja5tFOKIREREJBSU9BYREZEqI6xWGLHdTM3WjM0ZZGzJCHFEIiJytBz86SBrr14LFjS+qTHN7m0W6pBEREQkRJT0FhERkSolonEE0e2jAUhbmUbW7qwQRyQiIuUt5e8UVg1ZhZVjUXdYXdo81wabzRbqsERERCRElPQWERGRKie6TTSRzSMBSF2aSs7hnBBHJCIi5SV9YzqJAxJxp7qpcXoN2r/XHptDCW8REZHqTElvERERqZJiOscQXi8cy22RsjgFd7o71CGJiEgZy9qdRWL/RHL25hB7XCydZnbCHqHTXBERkepO3wZERESkSrLZbMR2j8WZ4MST5SF5UTKeHE+owxIRkTLiSnax4twVZG7OJLJ1JF1mdcEZ7wx1WCIiIlIBKOktIiIiVZbdaSeuZxz2KDvuVDcpS1KwPFaowxIRkVLyZHlYecFKUpenElYvjK5zuhJePzzUYYmIiEgFoaS3iIiIVGmOSAfxveKxOW3kHMghdXkqlqXEt4hIZWW5LdZcuYbDcw/jiHPQZXYXolpHhTosERERqUCU9BYREZEqzxnnJK5HHNgga0cW6evSQx2SiIiUgGVZbLhlA/um78MWbqPTl52IOy4u1GGJiIhIBaOkt4iIiFQL4XXDie0aC0DGhgwy/80McUQiIlJc2x7dxs6Xd4IN2r/fnpqn1wx1SCIiIlIBKektIiIi1UZk00ii20YDkJqYSvbe7BBHJCIiwdr55k62PrAVgDYvtKHesHqhDUhEREQqLCW9RUREpFqJPjaaiCYRYEHK3ym4kl2hDklERALY9+U+1t+wHoBm9zWjyU1NQhyRiIiIVGRKeouIiEi1E9s1lrA6YVgui+RFybgz3KEOSUREfDg87zCrL10NHmgwqgEtJ7UMdUgiIiJSwSnpLSIiItWOzW4jrkccjjgHnkwPKYtT8OR4Qh2WiIgcIXVFKivOW4GVZVH7vNq0fa0tNpst1GGJiIhIBaekt4iIiFRL9jA78b3isUfYcSW7SPk7BctjhTosERH5fxlbM0jsn4g7yU3CKQl0+KQDdqdOYUVERCQwfWMQERGRassR5SC+Vzw2h42cfTmkrUgLdUgiIgJk788msX8i2buyie4YTaevO+GIcoQ6LBEREakklPQWERGRas2Z4CSuexzYIPPfTNI3pIc6JBGRas2d5mbFwBVkrM8golkEXed0JaxmWKjDEhERkUpESW8RERGp9sLrhxPTKQaA9LXpZG7PDHFEIiLVkyfHw6qhq0hZnIKzlpMuc7oQ0Tgi1GGJiIhIJaOkt4iIiAgQ1SKKqNZRAKT9k0b2/uwQRyQiUr1YHot116zj4OyD2KPtdPm+CzHtYkIdloiIiFRCSnqLiIiI/L/o9tFENIrA8lik/JWCK8UV6pBERKqNzXdtZs8He8ABHad3JL5XfKhDEhERkUpKSW8RERGR/2ez2Yg9LpawWmFYORbJi5LxZHlCHZaISJX371P/8t9T/wHQ7u121D63dogjEhERkcpMSW8RERGRfGx2G3EnxOGIceDJ8JjEt0uJbxGR8rL7/d1svnMzAK2mtKLB1Q1CHJGIiIhUdkp6i4iIiBzBHm4nvlc89nA7riQXqUtTsSwr1GGJiFQ5B2YdYN016wBocnsTmt3RLMQRiYiISFWgpLeIiIhIERwxDuJ6xmGz28jek03ayrRQhyQiUqUkL0pm1dBVWC6L+lfWp/WTrUMdkoiIiFQRSnqLiIiI+BBWM4zY42MByNyaScamjBBHJCJSNaStTSNxYCKedA+1zqnFsW8fi81uC3VYIiIiUkU4Qx2AiIhIUPbvh+nTYe9eaNIEhg6F+PhQRyXVQETDCDwdPaStSiNtdRr2aDsRDSNCHZaISMXkcsH338M//0BUFAweDMceW2CXrB1ZJPZPxHXARdwJcXT4vAP2MI3HEhERkbKjpLeIiFRslgUPPwyPPmpOpB0OcLvhppvgqadgzJhQRyjVQFSrKNzpbjK3ZJK6NBX7iXbCaoWFOiwRkYplwQK45BLYuROcTvB44M47YcgQePddiIsj51AOieckkvVvFlFto+j8XWecsTotFRERkbKly+kiIlKxPf44PPgg5OSYBLjLZf7NyICxY81JtMhRENMxhvAG4Vgei5QlKbjT3KEOSUSk4li1Cs46C3bvNvddLpP0Bvj6a7jwQtzpLlaet5K0lWmENwyny5wuhNcND13MIiIiUmUp6S0iIhVXaio88oj/fe67z4z8FilnNpuNuOPjcNZw4sn2kLwoGU+2J9RhiYhUDJMnF0x05+d24/npF1b3/52kBUk4Ehx0md2FqBZRRz9OERERqRaU9BYRkYpr1ixIT/e/z44d8OefRyceqfZsDhvxPeNxRDtwp7lJXpyM5bZCHZaISGi53fDZZybpXQQL2GC7nQMLLGwRNjp/3ZnYLrFHN0YRERGpVpT0FhGRiuvQoeD2O3y4XMMQyc8eYSeuVxy2MBuuQy5Sl6diWUp8i0g1lpFhypD5sJWR7LIGgM1Dh086UOPUGkcvNhEREamWlPQWEZGKq3Xr4PZr1ap84xA5gjPWSfwJ8djsNrJ2ZpG+JsCMBBGRqiwmBmrXLvKh7VzANq4GoO2566h7Qd2jGZmIiIhUU0p6i4hIxdWvHzRrBnYf3ZXDAb17Q/v2RzcuESCsdhix3cz0/IxNGWRszQhxRCIiIWKzwQ03mH45n730ZSM3A9CCt2n00jmhiE5ERESqISW9RUSk4rLbYepU8++RiW+HAyIi4JVXQhObCBDROILodtEApK1MI3tPdogjEhEJkTvugDZtchPfhziONdwL2GnElzR/6Bho2TK0MYqIiEi1oaS3iIhUbGeeCXPnwokn5m2z2cz2P/6A444LXWwiQPQx0UQ2iwQLUv5OIeew77q2IiJVVo0asHAhjBhBSlgHVjIJi3DqRi/hmDe7YJvwQKgjFBERkWrEGeoAREREAjrlFFiwALZtg337oFEjcxOpIGI6x+DOcJOzL4eUxSkknJKAI9oR+IkiIlVJrVpk3PMiid/8jXuvixo9w2j/623YonTaKSIiIkeXRnqLiEjl0bw59OihhLdUODa7jbgecTjjnXiyPCQvSsaT4wl1WCIiR1X2nmz+6f8POXtdxHaLpdMPvbAr4S0iIiIhoKS3iIgUT04OTJ8OF19sSoyMHQv//BPqqERCzu60E9crDnukHXeqm5S/UrA8VqjDEpHqLDERbrrJ9NcXXwyff2768XLgSnaReG4imZsyiWwZSedZnXEmKOEtIiIioaFvISIiEry9e+Gss8xJtMMBbjf89ptZTPKOO+DJJ029bZFqyhHpIL5XPEm/J5GzP4fUf1KJOy4u1GGJSHVjWXD33aZfdjrB5TL99vTp0KkT/PQT1K9fZofzZHlYeeFKUpelElY3jC4/dCGiQUSZtS8iIiJSXBrpLSIiwbvoIli92vzsdpt/XS7z71NPwRtvhCYukQrEGe8krkcc2CBrexbp69JDHZKIVDdvvWUS3pDXT3v77bVrYcgQkxgvA5bHYs3Vazj882EcsQ66zOpCdJvoMmlbREREpKSU9BYRkeAsWWIWk/SePB/JZoPHHwdPBalj7HLBp5/C6adDixamFvgLL0BKSqgjk2ogvG44sV1iAUhfn07mv5khjkhEqg2PByZP9j3zyuWCP/4w/XopWZbFxls2su+zfdjCbHSc0ZG47iWY3bJ8OYwaBW3aQNu2cPPNJjkvIiIiUkJKeouISHBmzzZTo32xLNi6FTZtOmoh+ZSZCeeeC5deasqvbNsGS5fCrbdCt26wfXuoI5RqILJZJFHHRAGQmphK9r7sEEckItXCli3m5m8kt9MJs2aV+lD/Tv6XHS/tAKDde+2odVat4jfy+utw/PHw3nvmO8SGDfDaa9C5s6lBLiIiIlICSnqLiEhwsrODq9edXQESe/ffD7/8Yn72jjy3LHP7918YNix0sUm1EtMuhojGEWBByl8puJJ9zJQQESkrwfTDNlup++udb+1ky31bAGjzfBvqX1qCGuF//QU33mj65/wzyVwuc7v88opxMV1EREQqHSW9RUQkOCec4Lu0iVd8PLRufXTi8SUtzYwQ81VmxTute+nSoxuXVFux3WIJqx2G5bJIXpSMO9Md6pBEpCpr1QoSEvzvk5Nj+vUS2v/1ftaPXg9As3ua0WRck5I19MILgWeRvfZaydoWERGRak1JbxERCc6AAdC4se+TU7sdRo+GyMijG9eR/vnHJL79sdth3ryjE49Ueza7jbgT4nDEOvBkekhZlILHVUFq34tI1RMRATfc4Lu/djigUSMYNKhEzR9ecJjVl6wGDzS4pgEtH21Z8lh//tn/BXW3G376qeTti4iISLWlpLeIiATH6YSZMyE6uuCJtM1mbr17w4MPhiy8XMGUYCnOfiJlwB5mJ75XPPYIO65kF6l/p2J5/NTbFREpjQkT4MQT8/poL6cToqJMf+50FrvZ1JWprBy8Ek+mh9qDatP29bbYStOfBvNcu05ZRUREpPj0DUJERIJ3wglmJPXYsVC7NoSHw7HHwvPPm9Fa0dGhjhC6dIHYWP/7eDzQt+/RiUfk/zmiHcT1jMPmsJG9N5u0FQFmJIiIlFR0tBkh/fzz0K6d6a9r1TL1s//5B3r2LHaTmf9mknhOIq7DLuJPiqfDpx2wO0t5Onnmmf6T7w4HnHFG6Y4hIiIi1ZKS3iIiUjwtW5qT6P37ISsL1qyBm28OfVkTr5gYc1Lva2SY0wmnnALduh3VsEQAwmqEEXt8LNhMAil9Q3qoQxKRqioiwvTPq1eb/vrAAVNDu1WrYjeVcyCHxP6JZO/IJrpDNJ2/6Ywj2k8t7mDdfLMpYVIUm8305TfeWPrjiIiISLWjpLeIiFQ9kybB2Webn72lWLxTvFu0gE8/DVloIhENIojpGANA+tp0snZkhTgiERHf3GluEgcmkr42nYimEXSZ04WwWmFl03j37vDGG6Z/zj/i2+Ewt08+MRfbRURERIpJSW8REal6IiLg22/h88/h9NPNqLaePeHll2HZMrOAl0gIRbWMIqpVFACpy1PJOZAT4ohERArz5HhYNWwVKYtScNZy0mVOFyKblPHMrmuvNSVXrr3WlExr3z5vhPqFF5btsURERKTaKP7qJSIiUrW5XObfEixwVaE4HDB0qLmJVEDRHaJxZ7jJ3pVN8pJkEk5JwBlbyf/ficjRY1mQk2PqdZdL8xbrrl3Hwe8PYo+y0/nbzsS0jymXY9G5M7z6avm0LSIiItWSRnqLiIg5cf7oI+jRA8LCzK1PH/jqq1BHJlJl2Ww24o6Lw1nTiZVjkbIoBU+WJ9RhiUhFt2IFXHmlWUsjIgIaN4ZHH4W0sl0cd/Pdm9nz3h5wQMfPO5JwYkKZti8iIiJSnpT0FhGp7iwLbrkFrrjClP7w+uMPuOACUx9bRMqFzWEjvmc8jhgH7nQ3yYuTsdxWqMMSkYpq7lw44QSzNkV2ttm2cydMmGAuVicnl8lh/nvmP/578j8A2k1tR+2BtcukXREREZGjRUlvEZHqbNs2+N//4MUXzX1PvlGmbrf5d8IE+Ouvox+bSDVhD7cT3yseW5gN12EXKUtTsCwlvkUkn4wMs6jj4MEm2e0tRebl8UBiIjz4YKkPtefDPWy6fRMArZ5oRYPhDUrdpoiIiMjRpqS3iEh1lJoKl14KLVvCc8/539fphFdeOSphiVRXjhgH8T3jsdltZO/OJm1V2ZYpEJFK7PXXoUEDuOwyU8LE10UxtxvefNMkyEvo4JyDrB2xFoAmtzah6Z1NS9yWiIiISCgp6S0iUt14PDBoEEyf7vvEOT+XSyO9RY6CsFphxB4XC0DmlkwyNpc8cSUiVcSbb8INNwRftiQ11cziKoHkxcmsvGgllsui3mX1aP10a2w2W4naEhEREQk1Jb1FRKqbOXPgt9/yypcEIyqq/OIRkVwRjSKI6RADQNqqNLJ2ZYU4IhEJmexsuPvu4j8vMrLYT0lfl86KgSvwpHmoeVZN2r3TDptdCW8RERGpvJT0FhGpbj74AByO4Pe322HIkPKLR0QKiGodRWQLk7RKXZpKzqGcEEckIiHx449w8GDw+9ts0K4dNG9erMNk7czin/7/kLM/h7gecXT8oiP2cJ0mioiISOWmbzMiItXNnj3Bj/J2OCA+HkaNKt+YRKSAmE4xhNcPx/JYpCxOwZ1WjJkZIlI17NtXvP0tC+6/3yS/g5RzOIfEcxLJ2pZF1DFRdP6uM844ZzEDFREREal4lPQWEaluWrQwi1MGo0YNM9Ksbt3yjEhEjmCz2Yg9PhZnghNPtofkRcl4sj2hDktEjqZmzYLbz243ie7HHoMrrgi6eXemm5XnryRtRRrhDcLpMqcL4fXCSxisiIiISMVSaZPejz/+ODabjVtvvTXUoYiIVC7XXGMWp/Sna1d46y3491/o0ePoxCVVkvrrkrM77cT1jMMeZced5iZlSQqWJ4jFZ0WkaujbF5o29T9yOy7O1P3etAnuuSfopi23xZrL15A0LwlHvIMus7sQ1VLrd1R36rNFRKQqqZRJ7yVLlvD666/TpUuXUIciIlL5nHgiXHll0SfRDge0bw/z5pmSJtHRRz8+qTLUX5eeI9JBfK94bGE2cg7mkLosFctS4lukWnA44NVXzc9H9tl2u5m19dVX8Oij0LJl0M1alsX6MevZP3M/tggbnb/uTGzX2DIMXCoj9dkiIlLVVLqkd2pqKldccQVvvvkmNWvWDHU4IiKVj80G06aZup/x8XnbnU645BKYP7/gdpESUH9ddpxxTuJ6xGGz28jamUX62vRQhyQiR8vAgTBrlrkgnV/nzvDTT9CvX7Gb3PrQVna9sQts0OGjDtToW6NsYpVKS322iIhURZUu6T127FgGDhzImWeeGXDfrKwskpOTC9xERAST4H74Ydi9G379FX74AXbsgA8/hNq1Qx2dVAHqr8tWeJ1wYrrGAJCxMYPMbZkhjkhEjpr+/WHlSli+HGbPhhUrzM99+xa7qR2v7mDbQ9sAOOaVY6h7odbskOD7bPXXIiJSmVSqpbk/+eQTli5dypIlS4Laf/LkyTz00EPlHJWISBEsCxYuNAlly4JTT4U+ffzX5QyFqKgSnTSL+KP+unxENonEk+4hfV06qStSsUfZteicSFnYsQOmT4dDh6BVKxg6tOKV97LZzHobXbuWuIm90/eyYewGAFo82ILGNzQuq+ikEitOn63+WkREKpNKM9L7v//+45ZbbuHDDz8kMjIyqOfcc889JCUl5d7++++/co5SRATYuhWOPx5OOQUmToSHHjKJ5a5dzUJTpbFxI9x2G7RubRa3uvhi+O23MglbpCyovy5f0W2jiWgaARak/JWCKynAorQi4pvLBePGQbNm8L//wWOPwfDh0KABfPBB6dpOS4NXXjGLQTduDD17wuuvQ0ZG2cReTId+PcSaK9aABY1uaETzCc1DEodULMXts9Vfi4hIZWKzKslqSF9++SVDhgzB4XDkbnO73dhsNux2O1lZWQUeK0pycjIJCQkkJSURr3q1In5lZ2czefJkwHzBDQ/XaMKgJCebOps7d5qT6fwcDnMivWIFlKRe4uzZcMEFpl2322xzOs39CRNMcl1CSv2M+uujwfJYJC9KJmd/DvZIOwmnJOCI8v+eikgRbr0VXnjBzMgqytdfw+DBxW93/3447TRYvdrct6y8mV7dusEvv0CNGsVvt4RSlqewvO9y3Mlu6lxYh46fdcTmqGAzz44y9TNGaftsvY8ixWO5LQ58fwCA2gNqV/vPYpFglKavqTQjvc844wxWrFjB8uXLc289evTgiiuuYPny5QFPoEVEjop334X//iuc8AaTqN61C95+u/jt7tsHF14I2dl5CW/IO87DD8N335UsZpEypP66/NnsNuJ6xOGIc+DJ9JC8KBlPjifUYYlULrt2wUsv+U5422xw332+H/fnuutg7VrzXO/zvT8nJsKNN5Y87mLK2JzBinNX4E52k9A3gfYftleSRXKpzxYRkaqs0tT0jouLo1OnTgW2xcTEULt27ULbRURCJtB0aI/H7HP77cVr9+23ISvL98m3wwHPPAMDBxavXZEypv766LCH2YnvFU/SgiTcKW5S/kohvlc8NruSWSJBmTnT9Mm+WJaZmbVhA7RtG3y727bBV1/57q/dbvj8c3j6aWjUqHgxF1P23mwS+yeSvTubmC4xdP6qM45IJTElj/psERGpyirNSG8RkUrh4MHAo8IOHCh+u/Pn+z85d7thwYLitysilZYjykF8z3hsThs5+3NITUwNdUgilcehQ+aCcSCHDxev3YULA38PcLth0aLitVtMrhQXiQMSydiYQWSLSLrM6oIzodKMdxIREREptUr9zefXX38NdQgiIgUdeyxs2VKwBEl+DofZp7hsQYzeDGYfkRBQf11+nAlO4rrHkbw4maz/snBEO4huGx3qsEQqvtatiy5Flp/NBs2LueBjsH1xOfbZnmwPqy5cRerfqYTVCaPLnC5ENIoot+NJ1aI+W0REqopKnfQWEalwRo/2X1vb7Tb7+JOWBh9+CF98ASkp0LWrSZR/953/8ib9+pU8bm9sP/wA69dDfLxZvKtOndK1KSLlLrxeOLGdY0lNTCV9XTr2KDuRTSNDHZZIxXbBBWYxSV8juR0OGDQI6tf33YZlwW+/wVtvwaZNUK8eDBgAdrv/2VlOJ5x0UimCx9QM/+UXc5xTTjELZGIWul07fC2HfjqEPcZO5+8760KYiIiIVEtKeouIlKWBA82CkzNnFk5Q22zmBHrIEN/P37jRJK937DD3LQuWLDGj0cLDzb9FnUi73cWvE57fTz/BiBHmuN6T9bAwGDcOnngiuCngIhIykc0jcae7ydiYQeo/qdij7ITXCQ91WCIVV2QkvPkmDBtm+uf8favDAQkJ8NRTvp/vcsHw4fDRRyaJ7XKZ/vPrr6FmTUhOLnrWl8MBV15pEuQlsW+fef4PP+SNFrcsOPFErI8/ZuMz2ez9ZC82p41OMzoRf0J8yY4jIiIiUsmppreISFmy2+HTT+Ghh6B27bztNWvCAw+Y0du+EshuN5xzDuzebU5gvUlz7/Tr7GyTiLbn++h2/v+1y6eegjPPLFnMf/4J554Lu3aZ+94T/5wcszjmrbeWrF0ROaqi20UT0TgCLEj5KwVXSoDSDSLV3dChMHs2HH983ja7Hc4/HxYvhjZtfD/3kUfg44/Nz95+2tt/JiVBbGxee/n/7d0bXnyxZPFmZsLpp8PPP5v7+b8rLFnCv12fYMcL5qJ5u3fbUevsWiU7joiIiEgVoJHeIiJlzek0Ce677oJ168wJ6bHHQkSAeprffWemR/tit5sT8KFDzUiyrCxz8jx2bMET9uJ64AETY1EjyC0LXn4Z7rwTmjUr+TFEpNzZbDZiu8XiyfCQczCH5EXJJJySgCNSMzVEfDr7bHPbutUsRt2sWeDSXpmZ8NxzvkuOeTwm8T1likmq79gBTZrAqFFw0UXmAnZJfPYZrFxZ5EO7XGeyJWkYAK2fbU39y/2UZRERERGpBpT0FhEpL+Hh0Llz8Pv/8EPeFOmieDywahXMnw8PPlgmIbJ3rylt4o/dDp98AuPHl80xRaTc2Ow24k6II2lBEu40NymLU4g/KR67U5P7RPxq0cLcgrF0qUlq+2OzQVRU4D62ON57r8h64fvpzTruAKBp7R9oeutjZXdMERERkUpKZ0AiIhWFy5VXnzPQfmXl4MHA+9jtcOBA2R1TRMqVPdxOfO947OF2XEkuUv9OxfI1IlVEiq+oWt1HstnKtr8G2LOnUMI7iY6sZiLgoD6zaeV4u2yPKSIiIlJJKektIlJR9O5t6mj706JF4GnX+VkWfPMNnHWWqSterx5ce23e9OiGDfPqgvvicqm0iUgl44h2ENczDpvDRvbebNJWpIU6JJGqo3PnwCXLPB7TrxfH+vVw003QoAHUqAF9+8Lnn+clulu1KrAuSBrNWcFjeIikFn9wrO0ZbC2aF++YIiIiIlWUkt4iIhXFJZdArVoFF6rMz2aDW24JbjQ4mIT3uHFw3nkwdy4cPgz79sG778Jxx8FXX0FCgqkR7mtxTTC1Ry+7rNgvR0RCK6xmGLHHm8X0Mrdlkr4xPcQRiVQRNWrA1Vf77judTtPP9uwZfJs//wxdu8Lrr5sR3UlJ8PvvMGwYjBhhEt/XXZc7yjyTuiTyJC7iiWcVHXkIu5UDo0eX+uWJiIiIVAVKeouIVBRRUfDll2b0WP7R194k+IUXws03B9/e55/DSy+Zn/NPxXa5zP1LLjE1vR99FOLjfZ+8T5likvEiUulENIggpmMMAOlr0snamRXiiESqiKeeMoltm63gxWi73czI+uyz4C9Sp6TAkCGQnV2wJIq3737/fXjrLRgwAAYNIseWQCJPkkU9otlKZ+7F4XDBSSfBFVeU3WsUERERqcSU9BYRqUj69IEVK2DMGKhf3ySje/WCDz6ATz/1PyL7SM8953vUuGWZUipTp5rp0n/+aUqg5D9Bb97cjAofN65UL0lEQiuqVRSRLSMBSF2WSs7BAGWURCSw+HiYNw+efx46doTYWNNvPvAA/PMPtGkTfFsffgipqYXqdeey2eDZZ8Fux/3+Z6xoOI10WhDBXrownrDIbDPC+4cfApddEREREakmAhRyFRGRo651a3MS/fzzJW/DsmDxYt8n0GAe+/NP83PbtjBrFvz7L2zcaMqeHHec76S5iFQqMR1j8GR4yN6dTfLiZGr0qYEjphgX0USksKgoMwOrOLOwivLHH6a/9bVApmXB2rV4Dqew6sotJO+sibOmgy7PNSCy+efQrZvpt0VEREQkl5LeIiKVxZYt8NprMH++GfF9zjlmUcr69fP2mTMHnnkGfvnF98mzl81WeBHLZs20aKVIFWSz2Yg7Po6khUm4DrtI/jOZhD4J2MN1YUukzKWlwccfmxInSUlmJPgNNxSs8b11qxm9/d57Zs2NACxg/bh/OfjdQeyRdjp/24WYk5ToFhEREfFFSW8Rkcrggw/MQlaQl8xeuBAeewy+/Rb69YMnnoC77zYJ8UAJb6+zziqXcEWk4rE5bMT3jCdpQRLudDfJi5NJODEBmyPIusMiEtjWrXDaabBtm7m4bFmwdClMmwb/+5+pBf7PP2aftLSCNbx9sdvZ0nACu9/fBw7o8FkHEpTwFhEREfFLw3tERCq6Zctg+HCTyM6fzPZ4IDMTBg0yI7zvvttsDybh7XCYxSm14JVItWKPsBPXKw5bmA3XIRcpy1KwLCvUYYlUDR4PDBwIO3aY+97/W97E9jPPmAUpL77Y1PAOJuEN/OcZwr87+gJw7BvHUmdwnbKOXERERKTKUdJbRKSi+//Fq4rkTXzfc0/hUiW+2GxmAa45cyAuruziFJFKwRnrJL5nPDa7jexd2aSvTg91SCJVw48/wurVvpPZNhs8/LBZOyOYC9ROJ3s4nU3cBEDLx1rS8JqGZRiwiIiISNWlpLeISEWUkgKPPAKNG8P77/sfDebxwNq1gUeMhYeb6dRPPQWbNkH37mUasohUHmG1wojtFgtAxuYMMrZkhDgikUps5kw45RSz1oY/lgXbtwe3SHSnThw8537WOh8AoPG4xjS7W2tuiIiIiARLNb1FRMrCnj2wZIkZxdW7N9SuXfK2Dh+GPn3MaDGPJ7jn2IKoydu0KcydW/K4RKRKiWgcgTvdTfradNJWpWGPshPRICLUYYmUr5wcWLDALDDZti106FC69u6/Hx591JQNC1YQJYWS73qblTdkYLk81L2kLm2ebYMtmL5eRERERACN9BYRKZ2kJLj6amjSBAYPNvW1GzWC0aMhvYQlA+65B9asKV7COyHBf+Lb4YALLihZPOXtr79g5Ejo1Al69IBJk8xFBBEpd9HHRBPZLBIsSF2aSs7hnFCHJFI+LAtefdXMoDr9dBgyBDp2hBNPNAtLlsT8+SbhDcEvIB0VFTDpnV6nGytuy8KT5qHmmTVp/257bPYKkPDet88soH3CCabPHj4cFi0KdVQiIiIiRdJIbxGRksrMhDPOgOXLC57sZmfD1Kmwbh389FPwtbbBlDV5553gT57BnDzv3ev7JNpuh7AwGDMm+DaPlsceg/vuM++RtzzLsmUwZQr88IMZNS8i5SqmSwyeTA/Ze7NJWZxCwikJOKKLMWpVpDKYMgXuuqvw9iVL4OSTYfHi4o/6fvnlgv1XMLKyzEVqH312FrVI9DxOzkEXsd1j6TijI/aICjBO6a+/4KyzIDk576L8unXw3nswYQI89FBo4xMRERE5QgX4BiUiUkm9/z78/XfRCWq3G377Db78snhtbthgkunF5StJbrdDZCR8/TW0alX8dsvTd9+ZhDcUTBh4PJCWBgMGmIsAIlKubDYbsd1jccY78WR5SF6UjCcnyJkmIpXB/v2mDElR3G7T7957b/HbXbKkeAlvMH1cUQlvpxMXMSTWmUrmwQii2kTR5fsuOOMqwBil9HQ491zTJ+efheZ97Q8/DDNmhCY2ERERER+U9BYRKak33wxcUmTq1OK1GVEG9XTtdqhXD847D554Av7914zOqmimTPFdA9XjMbXNP/jgqIYkUl3ZnXbiesVhj7TjTnWTsiQFyxO47rBIpfDJJ/5nULnd5uLwgQPFa7cs+mybDU4/Hfe1Y1jZYzZp+2sQVj+MLnO6EF4vvPTtl4VPPjEXDny9hw6HWSRbREREpAJR0ltEpKS2b/dfl9Pthm3bitdm+/ZmwclA/C2Y5fGYupsffQR33FG6RTXLi8djaqH6S0LYbFp4U+QockQ6iO8Vj81pI+dADqnLU7GCWHBPpMLbsSPwQpOWBbt3F6/dIUP8t2sP4lTLsrAuu4I1+67j8F8uHHEOuszuQlSrqOLFUp7mzvX/Ot1u+OMPU95NREREpIJQ0ltEpKQaNPA/0ttuh4YNi9em3Z5X8qMoDodJivs7LpiT95IupHm0BJNMU8JN5KhyxjuJ6xEHNsjakUX6ugr+OSISjPr1A6+VYbNB3brFa/fGG00JsaKS23Y7hAceqW3Z7GyYFs/+L/ZjC7fR6atOxHWLK14c5U19sYiIiFRCSnqLiJTUyJH+H/d4Au9TlOuvz6st6nSaE3HvYpgnnQTXXVewpmZRataEWrWKf+yjxW43i1T6GzlmWXDKKUcvJhEBILxuOLFdYwHI2JBB5r8lWGdApCK55JLA5cjOPtuUBiuOJk1g1iyIjTXt2+3mZrNBXBx8+GHAi9TbrCvZubAO2KD9h+2p2a9m8WI4Gk4+2f/3Drsdjj8+qCS/iIiIyNGipLeISEmNHAlt2xaduHU4oHt3uPji4rebkWEWnezd2ySuGzc2Nbl/+AF+/RVuuMF/stjhgNGjA0/lDrX//c//ApzR0TB8+NGNSUQAiGwaSXTbaABSE1PJ3qeyBVKJNWwId91V9GN2u7mw/MgjxW/XOwL6nHNMX127Nhx3HDz9tFlP48ILzQKQPvrjnbbz2Iq5OH7My8dQb2gxk+5Hy5VXQny873ItHo/p00VEREQqECW9RURKKjYW5s0zo8Pys9ngggvgp5+Kv8jVjh3QrRtcey0sWgR795oao7NmmRrdYKZfv/yy+fnIE1CHw9QFv/vukrwi/3bvhrfeguefhx9/DDzaPJCLLoI77zQ/e0eyg3kN4eHw1VdQo0bpjiEiJRZ9bDQRTSLAgpS/UnAlu0IdkkjJPfKIucXEFNzeurXpr3v0KF57lgVjx8Kpp8KMGWadj/37YelSeOEFOHTI7Pfii6Yvy9/PAfvsfVlvjQOg+QPNaXxj4xK+sCJkZ8OXX8Jzz8F775mFoUsjLs4s9BkZWTCB7/355pvh8stLdwwRERGRMuYMvIuIiPhUrx58/z1s3AgLF5qE96mnQvPmxW/LssyiWFu25N0HcP1/oumdd6BDB5Movu46M3Jt0iRYvNg8HhdnkuUTJ0JCQqlfWq7sbLj1VnjjDTMy2243Ce/mzeGDD0pegsRmgyefhP794aWXYMkSc5FgyBAYM8aMdheRkIrtGosn00PO/hySFyWT0CcBR2QFn0UiUhSbzayZccstMGcOJCfDMceY0h2B1skoyiuvwKuvmp+9/bS3396+HQYNgsRE05f9/bfpmz/6CHJyOExXVnM/4KDhdQ1p8VCLsniFxowZZrbX/v15/XVkpHnt991XstcK5rvN6tXmdX/xBWRmmpImY8eai/8lbVdYs2YNn3zyCfPnz2fbtm2kp6dTt25djjvuOPr3789FF11ERHEHUYiIiAg2y6o+K5MkJyeTkJBAUlIS8fHxoQ5HpELLzs5m8uTJANxzzz2Eq05j+fvzTzjxRP/7NGgA//1XcMTYnj1m0cqGDc2JbVkbPhzef7/wQlbeRbr+/BO6di3741ZC6mfKht7HisWT4yHp9yTcKW6c8U7iT47H7tRkQanGPB6TzN62zf9+P/8Mp5+edz81ldTftrPssr24UzzUuaAOHT7vUHb/n2bNgoEDzc9FneI9/DA88EDZHKuSqwj9zNKlSxk/fjwLFizg5JNPpmfPnjRq1IioqCgOHjzIypUrmT9/PsnJyYwfP55bb721wiW/K8L7KFKZWG6LA98fAKD2gNrYHLpgKBJIafoajfQWEakofv7ZTBX2VecaTImRdeugY8e8bfXrl19Mq1ebqdFF8XggJ8eMNp8+vfxiEJGQsofZie8VT9L8JFzJLlL+SiG+Zzw2u07UpJrati1wwtvpLJT0ztjnIPHag7hTPCT0SaD9R+3LLuFtWTB+fN7PRXn0UVOKRKXDKoSLLrqIO++8k+nTp1PDz+/kjz/+4Pnnn+fpp5/mXu9C5yIiIhKQkt4iIkXJyoKPP4apU83I6gYN4Jpr4KqrICqqfI7pdgc3PdhfUrysffSROXF3+ajl63bDzJmQlla4TqqIVBmOKIdJfP+eRM6+HNJWpBHbNTbUYYkYf/5pamf/8QeEhcHgwabsRsuW5XO8YPphm63Aftn7sknsn0j27mxiOsfQ6etOOKLKsFTQ2rWwcqX/fbKzTZ89cmTZHVdKbP369YSFhQXc78QTT+TEE08kJyfnKEQlIiJSdWhuqojIkVJSTO3KkSNNne5t20zd7BtugJ494cCB8jnuSSf5Ti571agBbduWz/GLsn9/4ES8x1P6RbJEpMJzJjiJ6x4HNsj8N5P0DemhDkkEJk82pcE++8ysibF+vVnAsX17U7u7PLRoYRaV9icnx9QLB1ypLlYMWEHGhgwimkfQZXYXwmoETnYWy/79gfex24PbT46KYBLepdlfRESkulPSW0TkSDffbBadApPQBTNV2LJgzRoYNcr3czMy4N134fzz4YwzzAKQq1cHd9yTT/Y/itxmMws8+qrbvX493H479O0L555rFthKSQnu2L60aJH3HvgSFQW1a5fuOCJSKYTXDyemk5nVkb42nawdWSGOSKq1H38Eb7mH/BeN3W4zqnnIENi7t+jnWpa5sH3ttaYEySWXwFdfBb74DGYGVK9e/vdp2hQGDMCT7WHVRatI+SsFZ20nXed0JSIu2/TR555r+uzbbzd9eGk0axZ4H7e7ZAtty1Gza9cuhg4dSt26dalVqxaDBw9m8+bNoQ5LRESkUlLSW0Qkv7174cMPfU9ddrvh66/NaLIjbd1qam2PGAHffgu//AIvv2y2PfZY4GO/9hpkZvp+3LLg6quLfuyFF6BdO/PvvHlmdNvYsdCmTeDpzv5cfbXv2qBgTvyvvrp8FtAUkQopqkUUUa3NBbrU5ankHNCUewmRZ581a2EUxbJMqbK33y78mNttSpadfLK5UD13LnzxBVxwAfTpE3j20vbt8N13/vcZMgTLZmftNWs59MMh7NF2unzfheiczaZvHjvW9NXz5uX14S++GMyrLlrz5tCvn+/3A8xssfPOK/kxpNxdc801dOrUid9++41ffvmF+vXrc/nll4c6LBERkUpJSW8RkfwWLQo8ysuyYMGCgtvcbjjnHFP/G/JGR3vbuu++wIs9vvSS/wSz3Q7vv194+w8/wC23mOd6j+cdmX7gAJx9tv9kuj+NGsHDDxf9mMMBderAAw+UrG0RqbSi20cT0SgCy2ORvCQZV2oQo2NFytqvv/qvr+3xmH2O9PjjJtkNef2mt50lS2D4cP/HnTrV9Ml+WDNmsumOTez9cC82p42OX3Qkvku46ZMPHMjrp70xWBaMG2dGr5fUs89CREThxLe3TNnLL+sidQVzyy23kJaWlnt/48aN3HXXXXTo0IFu3bpxyy23sG7duhBGKCIiUnkp6S0ikl8wC0kWtd/s2bBune+Eud1uTrJ9cbsh0PRVyyq6VMqUKb5HdrndsGsXfP65/7b9ufdeeP11kwD3stlg4ECzeFjjxiVvW0QqJZvNRuxxsYTVCsPKsUj+MxlPVoBSSCKhcGR/nZUFTz/t+yKzd0bXhg2+21yzxv9FauC/7Sex/dntABw77Vhqn1Pb1B3ftct3ot7hgCef9NuuX127mpItp5xScHvbtmYBS40YrnCaNGlC9+7d+frrrwG45JJL6NWrF3fffTe333475513HldccUWIoxQREamcnKEOQESkQsk32sav//6D++83C1kNG2aS3mFhZuGqong8pk744cNmevGR7HYzOivLT31chwNiYwtuc7tNGRV/dbcdDhPfVVcFelVFs9ng+utNLfOlSyE1FY49tmASXESqHZvdRtwJcSQtSMKd5iZ5UTIJJydgcwR58VCkNPbsgfBws5aGLzab6asmTjR94Vlnme2HDvlv22Yzs6iOOabox2NiTL/to+/dTX82cwMArZ9uTYMrG5gH5swxcfgroebt0wOMJPepa1czun3zZlN2rXZt6NIl+Iv6clTdeeedDB06lDFjxvDOO+/w4osv0qtXL3799VfcbjdPPvkkQ4cODXWYIiIilZKS3iIiXitWBE4M22zmdt99pp61220WoOrUKbhj+EqK22xw0UVmFJiv0eIul9knP8sKvNBk/rInpeFwwAknlL4dEaky7OF24nvFk7QgCVeSi5S/U4g7IQ6bEmxSnjweGDDAXIQN5O23TX8NJvndrl3g59hsvvtrMH1xUbXCgQP0Zi13AtD0zqY0/V/TvAe9ZUz88XhKl/T2atXK3KTCa9myJbNmzeLDDz+kb9++3HLLLTz11FP6HBURESkllTcREfHyN93Zy5tktixzQuzxmMT3P//4P0EGaNLEjLjyZfz4vKT6kZxOk1gfOLDw9i5d/J8cWxb06uU/tkC8i4H17g0NG5qRZM8+C8nJpWtXRCo9R4zDJLrtNrL3ZJO2KsgZMyIl9fPPZuaRv3rekNefulx5F3/9lS3x8nj8X+Tt3x+6dStUWiyJ9qxiIuCg/kAnrR4/Iuncs6f/49rtpk93lnJc0sKFcOml5ntH8+YwZkzR5dGkwjhw4ABXXHEFS5YsYdmyZZx44okkJiaGOiwREZFKTUlvEake1qyBRx6Bu+6CadOKLmPyxRelHxHtK/lss5nFJv0lp7t2NXVEi1pkqkYN+OSTok+Eb73V92hvm820N2JEgMD9SE2F004z5U2WLIHdu82o+Ntvh+OOg507S962iFQJYbXCiD3elF/K3JJJxmY/JSdE/ElKMutIjB8PkycXvd7FzJnBJYaL6hu9iXJf/bHDAZ07w0kn+W7X4TClSjp2zN2URjNWMBkPkdQ69jDHzjwJm/2Ii9gjR5pSZr5G8Ho8pk8vjSefhJNPNt9pduyAf/+FN9803zG++KJ0bUuZ+/nnn6lfvz5169alSZMmrF27lrfffpvJkydz2WWXMX78eDL8lfARERERn5T0FpGqLT0dLr4YOnSABx80o5OvucaMVj5yccfMzNIfz+EoeCLuPak+8USTMG7VClq3hksugW++KTyyfPduU5/0yBPiQ4dgyBA4cKDwMYcPz0tq5x915nSa22efQa1aJX9N//ufiR3yEgiWZW7//gtaYElEgIiGEcR0iAEgbVUaWbv8rFEgUpS33jL98403wnPPwQMPQJs25qJr/tlU6emlO47NBtHRhftahwMSEsxCkJ07m1HSp55qZoKlpBTcNyPD1BV3OMikDok8iYsE4lhDx41XYf9pTuHj1qoFn35a+LuCt+8eObJ0F6l//dVc3IeCF/FdLpPsv+wy029LhTF27FjGjx9Peno6L730Erf+/0WPfv36sXTpUsLCwujWrVtIYxQREamslPQWkartqqtgxgzzs9udd9Kcmmqm/s6dm7dv+/alW+jJZjMj00aNgpo1zQjrrl1h0CAz1fiLL2DLFjNq7bPP4LzzzNTjr74yzz982JzoQ+FkuNttnjdpUuHj2u2m9Minn5rkemysKaMyfLiZ/j1oUMlf08GD8O67vqeQu1zmJHvVqpIfQ0SqjKjWUUS2MLNVUpemknMoQNknEa8ZM+C660wy2VtCzO02P0+bBjfdlLdv586B17Pwx7KgbVuYMsUk1SMjoUEDkxTOzDQjzVetMgni+fPhjjtMwvrOOyE727Rx++2wfz857mgSmUIW9YniXzpzNw5PmumDiyp7NngwLFtmHq9d2/TZJ55o+vCpU0v3PeS553yPgPeWZ3v99ZK3L2Vu165dDBw4kMjISM455xz27duX+1hERASPPvooM7zfY0VERKRYlPQWkaprxQpzEl3UibFlmRPLhx7K23bzzaU7nmWZ0WGvvWaSxRkZMGECfPutebyoxPHOnWYE9+efwwcfmNrZvrjd5oS4qH1sNhg2zJycp6TA/v1mxFywC2z6snRp3gm+P7//XrrjiEiVEdMphvD64Vgei5TFKbjTAtRdFrEsM6rbV8LXskyftn27uT98eODyJv6Sx06nmQF2++2mxndGhvn3u+/Mz0V9b3C5zIjvSy81I7xnzsTtdrKCR0mnBeHsoyvjCSfZxLtvX17/f6ROnczr2b/f9Nnz55s+vLQLF86b579Mm9sNv/1WumNImTrvvPMYOnQo9957L2effTYDBgwotE/HfGV0REREJHhKeotI1TV9eqFFpgrwnvzt32/ujxxpFoo88qTTW6KkTRvf7dls0LgxnHVWwe1PP+2/jjeYk+ORI+HllwMvpJmaCvfdl3fiX96CPQEv7Ym6iFQZNpuNuO5xOGs48WR7SF6UjCe7FKNypepbv94stBioD5w50/xbp45JGttshftlu92UEfPXlssF119fcNtHH5kZV/6eZ1kmhmHD8HhgNQ+QTGecpNCF8USyJ29fm82MJJ8/P/DrKivB9MXqryuUqVOnMnr0aJKSkrjyyit57rnnQh2SiIhIlaGkt4hUXUlJgRPOkFen0+k0I8OfegqaNct7vHdvs8DkV19BTEzhE2yHw9zefrvgYx6PGQEdzBTstDRYuzbwfmCmLzdvbk6my9sJJxS9sOaR+vUr/1hEpNKwOWzE94zHHmXHneYmZUkKlucoJf6k8klKCryP3Q7JyXn3r7oKfv65YP9Tv75Zv2PpUjjjDN/fAa67zszMym/evOC+MwDWvHms53YOcDJ2sujEfcSy9YidLFi0yNQEP/304F5jaZ19tv8R8HZ74YvzElLh4eHcfPPNvPzyy1x//fU4g1mgVURERIKipLeIVF1t2/qf5gsQFWXqeHqFhZmFG7duNYtGpqSYxPXgwWYq9KJF5uf8J8annGLqWp99dnm8isLcbpNIHz8ePvywfI8VHw+jR/tOBDgcMGCAGQUvIpKPPcJOfK94bGE2cg7mkLosFetojXiVyqVVK/8zs8D0523bFtzWrx/8+KOZBXXggCkZ9sADpu/67ju4+26oUSNv/0aN4JlnTBmyUox43sIodjMAcNOBSdRgRdE7ei96z59vFrAub7fc4nsNDpsNIiJMwl8qlOzsbD777DNuu+02LrvsMi677DJuu+02Pv/8c7KDKTEnIiIiRVLSW0SqrssvNyd4vjidMGKESXwfyWYzi1bFxhbc3q6dmdq8Zw8sXw47dpiE98knF27Dbjfbgxw5Vmw2Gzz8cPlPm3788byRYd6khPc1deoE771XvscXkUrLGeckrkccNruNrJ1ZpK9JD3VIUhHVqQMXXuh7lLK3Tz7vvKIfj4kxj+fvbyMi4NFHYfduWLkS1qwxC1PedlvR/fKppwY1M2s7Q/iXKwFoyzPUIYg1LdxumDMH/vkn8L6l0bt3XkI//3vpcJj348svoWHD8o1BimXjxo20b9+e4cOHs2zZMjweDx6Ph2XLlnH11VfTsWNHNm7cGOowRUREKiUlvUWk6qpRI+/k78gTXKcTmjYtuJBlsHbtMlOnDx2CmjX973v77cGVNykJyzJ1UMv7ZCgy0oyYmzkTzjnHjHjv2xfefRf+/BNq1y7f44tIpRZeJ5yYrjEAZGzKIGNrRogjkgppyhTTnxyZ+LbbzW3aNP8XsouSlWVmaG3fbi5i+xtNfvnl5nuDnxHge+nHRm4CoCVv0Yjvg4/F6TRJ5/J2/fVmIe/rr4fOneH4482I9/Xrj96MNAnajTfeSOfOndmzZw+//vorn376KZ9++im//vore/bsoWPHjowdOzbUYYqIiFRKSnqLSNU2fDh8+y107563LTISRo0yJ8J165op05s3w5Yt/hPUe/bAsGHQpAn072+mVTdsCJMm+Z5OfMEFcP/9ZfqSCsk4Cgkkh8O8lm+/hVWr4Jdf4Oqrg6v3LSLVXmSTSKLbRQOQtjKN7D2asi9HaN4cliyByy4zpca8TjnF1O72jvLes8ckcNPSfLdlWfDkk6aP7tvXXLBt1gzOP9/3QtCxseYCb3R0kQ8f5HjWcA9gpzEzaEYxy4vZbJB+lGY6dOxoFsdOTIS//4ZHHjEX+qXC+f3333nkkUeIj48v9Fh8fDyTJk1i/vz5IYhMRESk8lPSW0SqvgEDYPFiU4pk7VrYv9+MAK9ZE554wpwItm5taoq2aAEvvFA4+X3okClVMmNGwceSkmDiRLjhBt/HnzTJ1PM86aSyL3USGQktW5ZtmyIi5SD6mGgim0WCBSl/p+BKCrDmglQ/TZuakln795v+evdu+O03k7j++WeTAG/QAI491pREufZas8+R/vc/uOsu03d7WRZ8/z2ceCLs3Vv08U880STUx40rUPoshWNYxSQswqjLXNrwMsWuCJ6TY0Zei+RTo0YNtm7d6vPxrVu3UiN/XXoREREJmpLeIlJ9NGpkTpRjYkzi+tJL4Z57Cp4w//efWQjq+usL1sp+7jmzuGVRI7otC956y5Q88eWUU8yCmFlZZiRZkyalWkQLMKOvr74a4uJK146IyFES0zmGsLphWG6L5EXJuDN8zJKR6i0+3vTX9eub+59/btaW+OOPvH0yM02ZrZ49Tdkxr7VrTZ9dFJfL7Pvkk76P3agRPP+8GZWdmEj6uaNI5HHcRFODpbRnMjaKWbbMZjMX2ocOLd7zpMq79tprufrqq3n22WdJTExkz5497Nmzh8TERJ599llGjBjB9ddfH+owRUREKiUlvUWkepo5E774wvcikFOnmhIeXm+84buECZhanW+/Hfi4TqcZef7ZZ2b6tq+R396EeLt2EB5euA6pw2FGpz/2WOBjiohUEDa7jbgecTjjnXiyPCQvSsaTU07rHkjVkJ5uSpJB4VlY3iT2ffflbZs2zfeCmGD68rfeCmq9jay6bUlcO4ocahHLBjrxAHZyCu9ot5uyKC1bFt1fOxzw4YcqCSaFPPzww9x1111MmTKFbt260ahRIxo1akS3bt2YMmUKd911Fw8++GCowxQREamUlPQWkerF5YKvvoKbbvK/n9MJr79ufrasoqdPH9nuv/8GH8eJJ8K8eebf/GJjTQ3SU0+F99+Hf/4xi0VeeGHeiXSNGnDHHSVbRHLlSrjmGjPiLCoKevWCDz4ov8U2RUSOYHfaiesVhz3SjjvFTcpfKVgeHxcgpXpbvdr0fykpvi9Su1wmoZycbO7/95/vfb2SkgLW13Ylu1hx7goyt2QR2TKcLleswBmR7+J3eLjpgzt2NEn39eth2TKzaKS3b7bbYfBgWLgQzj03yBf9/5KTTQm21q1Nf920KUyYAPv2Fa8dqfDuuusudu7cyaZNm1iwYAELFixg06ZN7Ny5k/Hjx4c6PBERkUrLzzAIEZEKwHviWtpSIGBGg519tkn8BuJymQUbvceuUQMOH/a9v9NpFsX05Z9/YMMGSEgwtUnDw03CecECs4jmjh1mGnfbtmb/FStMbfH77jMJ6b59TV3Tjh3NtO+S1Ab//nuzGKVlmdcH8NdfcNVVpuTKmDGm1vnff5sRaxdeCNddlze9XESkjDgiHcT3iifp9yRy9ueQ+k8qccepVFOlZ1ll019blrm4+8wzwbWXnW2S3R07mr440HMiI30uWMnevXjm/cHKh6JJXRlGWL0wuv54HOGtT4KXHjaJ+LAw6NrV9OWHD8Obb5rFMvfvN6O9p0yBgQNNnx8RUeyXz/79pizahg15F6W3bzezu6ZONTPVZs+GL780ZdNOOAHGjjXfK6TSatmyJS21TouIiEiZ0UhvEamYvv4aTjvNnFiGh8Ppp5vEbElZFgwaZGp9Bis9HUaPNonfrl39J5pdLpM8PtJff8Hxx0O3bnDxxSbp3qgRvPxyXkK/VSvo0ycv4f3hh2b/d94xo8e3b4dPPzUnwO+/X7KE9+HD5vguV17CG/JOpj/5xIwu/+wzWLfOjFabONHUVF2ypPjHExEJwBnvJK5HHNgga3sW6ev8j7yVCmrDBrOYs/eCbMuWpmZ2WlrJ23zhBZPwhsCjtr2eftosbJmUVLCfO5LTCVdeWbgvTU2FkSOxGjVlzcXLOLwyDAfpdDn+U6LqZJt9atQwi1KfcIL5brJtG3TpYkZ3r1xpZoUtWmRmVA0bVvJZVDfdBBs3Fn6+2w179piFtSdNMhfU166Fjz+G3r3h0UdLdjwJqR9//JGJEyfyy/+X1Zs3bx7nnnsup59+OtOmTQtxdCIiIpWXkt4iUvFMmADnn29GQbvd5uR13jyTtJ40qWRtzp1rFpr0dyJ8pK1bTS3vqVPNKGuPp+jRY3Y79O9vRmPnl5hoEsmJiQW3HzhgTminTCnc1oYNMHy4OVb+WL0/jxtnTqgDsSwzevzff817+P77kJEROHlwZEI8NdXUIM/ICHxMEZFiCq8bTmyXWADS16eT+V9miCOSYlm0CI47zvSTKSlm29atZpHoU0/NKzlSHC4XTJ5c/OdNm2bieP993/s4HGaE9913F9yekwP9+2O99z4b3Dewj9OwkUMnHiDux1fgjDPMwplHGjbMzCLLn5z2/jx/vnkfgnH4MGzZYi4U7N4N06f7XkfE7TbHyH9Mb999//2lGyAgR90HH3zAgAED+Pbbbzn//PN55513OP/882nSpAktW7bkhhtuYPr06aEOU0REpFJS0ltEKpb58/MS2/lP+Lw/T5hgalkX17ff+l/Yyp/8ieIjy63Y7XDFFTBjRuGE+N13mynXvk5cH3jAJMDze+UV/7E4nWYEnL9Y33zTjBpv0gSaNzd1QKdNK9kIcbfbTLP+5JPiP1dEJAiRzSKJOiYKgNR/Usnelx3iiCQobjcMHWqSwUdeUPZ4zCjkBx4ofrv//GNGM5dUUaOrvf3zsceai+itWxd8/PPPYeFCtnkuYydDAA/teYyaLDWv8++/zSys/P76CxYv9n0x3eMx/bH3YkBR/v7bXNCvVcvM+qpZ04xC97dwtj8OBzz1VMmeKyHx9NNP8/TTT/P333/z5ZdfMmbMGCZMmMCbb77J1KlTeeyxx3juuedCHaaIiEilpKS3iFQsL7/sPzntdAZODBclK6ts6ow6HGbxyVdegbffNiOp33uvcG3QvXtNvU1/J645OaacSH6//ur/OS6X2ceX//0Prr8eNm3K27ZrlylXUtJp1g6HGSkvIlJOYtrFENE4AixI+SsFV3IxZuVIaHz/vSm/5W9E8tSpxS9zkpVV+ti8HA54/nnTZ//+uylB0rVr4f2mTmWnbRBbGQVAG16iHr/mPW63w1tvFXzOggWBLyanp5s1Oory22+mVMrs2XkX1HNyStffut1m8ECwJWEk5DZs2MDgwYMBOOOMM3C5XJxxxhm5jw8cOJC1xSnNJyIiIrm0kKWIVCyLFvkvQeJyBVfe40jduhWvtIkvbrcZaf7LL2YhLF927w580ul0mhIk+QUzGttXu3/8Ad7RQEXtU5qTYJ1Ai0g5i+0WiyfTQ86BHJIXJZPQJwFHpCPUYYkvS5eafsxf35qWZmpTF5Vo9qVdO7OeR05O6WN0u02t8REj/O62b21t1lujAWjG+zRhZsEdPB6T4M8v2AvpRe3n8cDVV5v37sgL0iW9QO2l/rpSCQsLIzs7b3ZLREQEsbGxBe5nqMSciIhIiWikt4hULOHhZbPPkS67DGJj/Z+kBnsCa1lF1/bMr169wO3k5MB//xU8QT377MCJb5er6GTAa6+VvISLP263WWhTRKQc2ew24k6IwxHrwJPpIWVRCh5XKROAUn7Cw4NLsEZEFK/dWrVMn+3wccGjOLO2bDYz2tqPw/MOs3rX9YCDBnxHS94uekeXyyyS6dWvX3AJ6qL69J9+MjPFSpvgPpLDYUaPl8XMNjkq2rRpU2Ak944dO2jZsmXu/U2bNtGkSZNQhCYiIlLpKektIhXLkCG+T3TBPDZkSPHbjY01damdzpLVts6vfn0zcsyfBg3gzDP9vxYwpVHy1zy94YbAJ6v79sGXXxbevnJl4NHs3ra9/wZKktvtpsboFVf4309EpAzYw+zE94rHHmHHlewi9e9ULI1crZgGDAhce7pFC7PGRHE98wy0aVN0f12cvwfLgo4dfT6cuiKVFeetwLKc1OZ32vIMPnvgPXvg5JPzEt9dukDv3v6Pb7PBY48V3r52bfDfRbz9tPf7hN3u+3uC2w233x5cu1Ih3HvvvdSsWTP3fnx8PLZ8v9+//vqLYcOGhSI0ERGRSk9JbxGpWG680YweK+pk0G43I8ZGj/bfxvr1cNNNJvFcowb07WsWqTr3XHjpJd8jq4I5kbbbYexY/yerlgUff+y/1ml+jz5qpomDWXiyUSP/+zsc8M47hbcHM5qucWOzsNaAAXD66TBunDn5vuUW83j+JLjDYWqVf/MNxMQEbltEpAw4oh3E9YzD5rCRvTebtBXFrAktR0fXrnDWWf4v7t59t//+Mi3N1Nzu2BESEswCk48+apK6P/8c+AKzP3a7SZyfemqRD2duyyTxnETcSW4S6uyiAw9jx8/Ia8sy/eUjj+RtO/NM/zFYlllI+9Chgtujo4Mb5f3qq+aic9++cPHF8N13pgZ4ZGTB993bd997L1xwQeB2pcIYMmQIp/r4GwW4++67meRd4F1ERESKRTW9RaRiad7cnCCef37hxa9iYsxjjRv7fv5PP8HgwWbEs3fU8++/w7x5pn7m5s3mRDGYZPSRbDY44YTAo6jGj4enngp+erHTCW+8YcqTQOBFv9zuwrXA9++Hdev8P89uhyuvhGuvNbf8nn0WBg40C4kuXQpRUTB0qBl53rRpcK9DRKSMhNUII/b4WFKWpJC5LRN7tJ3oNtGBnyhH1yefmAvKixfn1ff2/nv33WZhZV8OHYLTTstb6NGyIDkZJkyA11+HMWPg8OGSxWWzmcTwhx8W2Rdn78/mn/7/kL0zm2jbVjodug0H2UU0dAS321w4fvRRc4E+PT1w/XGPx/TR+UbzsnBh4GM1aQLXXWf64SOtXm0S4jNnmnJrvXqZC/KnnRa4XREREZFqQklvEal4Tj/d1Lp87z349VdzwnraaTB8uBkJ5ktysil9kpVVcNS2N8H93nuliysqypxAR/tJvMydaxLeEPwUbJcLEhPz7jdtapIBvp7vcJiLA/k9+2zg5EBUlDkpLorNZkbsnXVWcDGLiJSziAYReDp5SFuZRvqadBxRDiIaF7M+tJSvWrVMAnfOHJMAP3zYjK6+9lro0MH/c8eNg1WrCvd1Hg/s2gWPP276ppKUt7EsePBB6Nmz0EPuNDcrBq4gY10GEfZ9dPWMJ8x9OPi2k5Jg716TlG7cOPBFdIej4DofK1fCtGmBj/Pgg75H0bdoAU88YW5Spd17773s3r2bt9/2UWteREREfFJ5ExGpmGrWNCU3Zs6EGTPMybG/hDeYhHRamu8T5NIu7JSVZUZ4+fPKK4HreB/JZis4hfvIUdhHcrth1Cjz8/ffm8W0Hnss8FTp/v3NSbqISCUR1TKKqFZRAKQuTyXngJ8RtRIaDocpmfXee/D116Yed6CE9969JknuK2HsXTSyNPXcn3++UPueHA+rhq4iZXEKzlgPXTy3E8G+4rftLfl1+eX+v1s4HHDRReb7y+bNpoTb8ccHbj88HEaOLH5cUuXs2LGDrVu3hjoMERGRSklJbxGpOv78M3Ct7dJwuwOPzvrrr+KXTrEsU6vTa+RI6NSp6OS53W5qiA4caEZ4DRwI8+cHd5zsIKZui4hUMNEdoglvGI7lsUhekowrNcCCvVLxLVsWeOFlKN3C0zt2wIIFuXctj8W6a9ZxcPZB7NF2uly6nBj7Dj8NFMHhMPW1vaVKGjSAiRN97xsTAw8/DMuXm2T3W2/5L4XilZ0duNSZVAvvvvsuv/zyS6jDEBERqZSU9BaRqsPhCG40d3FHYue3b5//MiJhYcVrz+k0pUouuyxvW0wM/PabSYTnj9W7iOfXX5saqHffbbYHk2R3OqF+/eLFJiJSAdhsNuKOi8NZ04mVY5GyKAVPVhCLAErFFWw/HMxij/789Vfuj5vv2syeD/aAAzpO70h8q6zit+/xwAMPFNx2//1mVHnt2gW39+pl1hRp2xYuvRRSU4NL9IMpR+avlJqIiIiIBFRpkt6TJ0/mhBNOIC4ujnr16nHBBRewLtCibSJSvZx1lv8TSrsdevSARo1MEvjIx/L/64tlmRqmo0ZBRkbBx775BjZtCi5Wb3K+dWtTB/zIk9uaNeHjj2H7dpPk/vZbU+P0lVfMyfArrxR+Df64XKYmushRoD5byprNYSP+hHgc0Q7c6W6SFydjuUs5e0dCp1cv05f5Y7PBJZf4fiwYd9wBnTvz7x2L+e+p/wBo93Y7ah+XA8WpkexdGPP99+GMMwo/Nm4c7NwJP/9syrKtXm0S3p06mYW0160LfhaY02n669JcoJdKJSMjgwULFrB69epCj2VmZvJeadek8UP9tYiIVGWVJun922+/MXbsWP78809+/PFHcnJyOPvss0nT1D8R8broIrOolK8TRY/HjMhavBiuvNLUzPTq1s2cXAcz6suyzMnyoEF5SfY1a8zxg3m+zWaS799/b06MW7b0vW+DBjB4sClj4p1ODWb0WrAjxux208YppwS3v0gpqc+W8mCPsBPfOx5bmA3XYRcpS1OwSlu2SkIjLg7GjPF9odlbC/ujj0yN8MaN8x6rVQuuv94koYOwe2VDNj+dDkCrJ1vR4Kr6cN55EGyd5JgYeOEFc+H5iit87xcebhbivuACaN8+b/vy5cGXaXE4zHtz113B7S+V3vr162nfvj2nnnoqnTt3pm/fvuzatSv38aSkJEaWY3139dciIlKVFWOYYGjNnj27wP133nmHevXq8ffff3PqqaeGKCoRqVDCw2HOHDMKa+9es82yzKgpl8ss9nj++Wb7tGlmOvJ//5kTzHffhQkTine8X36Br74yJ+Yvvhh8zXDLMotuHnNM8Y6XX6ARcl5OpxmV/txzpV/IUyRI6rOlvDhiHMT3jCf5j2Syd2eTvjqdmI4xoQ5LSuKxx2DjRtOPOhxmJLT33xNOMPWv7Xa47TYzknrTJvNYSopZwDmIdSoO0JN1jAegSeu/aXpHXzMCe8mS4GK0200C+qabSv46IyKC/37QrZsZTd6iRcmPJ5XKXXfdRadOnfjrr784fPgwt956KyeffDK//vorzZo1K/fjq78WEZGqrNIkvY+UlJQEQK1atXzuk5WVRVZWVu795OTkco9LRMqYZeWdoIaHw9ln+08Wd+wIf/8NL70Ev/5qnt+9O9xwA3TuXHDf+Hiz/6ZNvhei8sdmgzffNEnvr78OfuT1//5XuoQ3mOT9n3/6Hllut5v36r33oG7d0h1LpJQC9dnqr6U4wmqFEXtcLCl/p5CxOQN7lJ2oVkFeCJTytX27KceVnm5Ke5x5pu9RzuHhMH06vPMOfPYZHDwITZrA1Vebkdj5S3g5HKY2NkDPnpAVuB53Mu1ZxYNYOKnHj7TeNBnb/qth1qy8i+H+OBxmJtbNNwf/+oty7rmB94mLg59+Mq9NqpWFCxfy008/UadOHerUqcM333zDmDFj6NOnD3PnziUm5uhe1FN/LSIiVUmlKW+Sn8fjyb0K3qlTJ5/7TZ48mYSEhNxb06ZNj2KUIlJqq1ebk+Y+fUxdzptvNie9558P//+lvIBDh+DGG6FNG3j8cZMU3rMHjj/etOPL1KnBTz3Oz7LypkcHMeIMhwOeeAKeeqrgdo8HcnKKd+xRoyAhoehSLna7SSa8+KIS3hJywfTZ6q+luCIaRRDd3qyFkLYqjazdWQGeIeUqMxNGjjQLM48ZA+PHQ//+0KoVLFxYeH/LgjfeMP31ddfBjz+aPr9RIzNby9eaFStXmovgAepjp9GURCbjIYqaLKYdT2LDMiVKsrODm/l01lnmonuNGgXjzs4OfuQ25C1W7a9G98SJSnhXUxkZGTjz/b3bbDZeffVVBg8eTN++fVm/fv1Ri0X9tYiIVDWVMuk9duxYVq5cySeffOJ3v3vuuYekpKTc23///XeUIhSRUtu+3SS7vYvpeDx5J5nffQcDBhQ86U1ONjWr33zTnHx7bdsG114LDz3k+1jr1wdXi7so9eqZRatiY/2fRNvt5sR+/Pi8/X77zdTqDgszSeoOHeD114Nb7Kp2bZMk8Nb5ttvNzWYzpU++/tokE0RCLJg+W/21lER0m2gim5u6zql/p5JzqJgXD6XsXHmlmVnk7au9/dh//5nR3itXFtx/wgQYPdr00V4ZGSYR3qePKWFSlA0bAoaSRR0SeRIXCcSxho5MxM7/j+rev9/M7gp0oTkhwZRdqVfP3N+1y8zSqlnTlCupWdOUXdm5M2A8gHldZ55pfnY6TV/tTXTecotpW6qldu3a8ddffxXa/tJLL3H++edz3nnnHbVY1F+LiEhVU+nKm9x00018++23zJs3jyZNmvjdNyIigoiIiKMUmYiUqeeeM6O5i0oAu91m5Njs2SZpDGahq3XrCu/vTZQ/9JA5KS8qEVyjhhmBFWx5kvxWrYILLzTP9zfyy7IK1gSdNs2M1rbb8xLua9eakeo//giffup/VBiYsi3btpmFvn7+2bRz0kkwfHjBkWkiIRJsn63+WkoqpnMMngwP2XuzSVmcQkKfBBzRAT47pWwtXQpffFH0Y96ZTI89ZvoqMH31I48Uvb/bbfrV5583C08fKSHBbyg5xJLIE2TRgCj+pTP34OT/L4TXret/FLmX3W76a+9i15s3m751//687xhJSWY21UcfwR9/mBHt/sTEmLIqCxbABx+Ytlq0gGuuMWXWpNoaMmQIH3/8MVdddVWhx1566SU8Hg+vvfZauceh/lpERKqiSjPS27IsbrrpJmbOnMkvv/xCy5YtQx2SiJSn997zP+LZ4TCLQYJJKL/6auD933676MeGDStZwtvhyCuz4uvY3sT188/nndhu325GfecfDQfmvmWZ5MG0acHFEB1tRrJ//LFJlN9yixLeEnLqs+VosdlsxHaPxZngxJPtIXlRMp6cEs7ckZL5+GP/iWSXCz7/3NThBlNSzN/+Ho/p04vSpw/UqVPkQ27CWcmjpNGKcPbThfGEk68U2oEDefEUxWYzt1NOgfvuy9s+apR57pH9vNtt6pCPHOn7tRzZfp8+ZkbXF1/A008r4S3cc889fP/99z4ff+WVV/CUdDZiENRfi4hIVVZpkt5jx47lgw8+4KOPPiIuLo7du3eze/duMjIyQh2aiJS15GQzCsoftxv27TM/Z2XB3r3+97csM6W5KMccA34WxfX5nCOT1kdyOuGcc+CXXwouhPXWW/7bttvhhReKF49IBaI+W44mu9NOXM847FF23KluUhanYHmKUXNZSmfhwsAXjl2uvJIlmzYFLuO1c2fRJUhsNujdu9BmD3ZW8wBJdMFBKl24iyj2mAfr1///nQIkDtu2NReof/jBlAkDU/7s1199vz6XC+bNgzVr/LctUkGpvxYRkaqs0iS9X331VZKSkjjttNNo2LBh7u3TTz8NdWgiUpayssziUYEWiXI686YTh4ebGpv+2O1Fj4Dets0sHnXwoO/n2mwQFwd33WXqcq5fD5GRgU+gO3eGb7+Ffv0Kbl++3P8Jv8djpncXZ6EskQpEfbYcbY5IB/G94rE5beQczCF1eSqWPkPL3zPPFL1Q5ZFiY/P64Jo1A5fviooqPBrc4zELQn77bYHNFrCB2zjAKdjIpjP3EXtpT5PA/vFHsxB2MItVf/ONuUCd//vE8uWBnwfwzz/B7SdSwai/FhGRqqzS1PTWiYtIJbd2rVnQqm5d6NrV96KPH30EixcHbs/lMlOOwZzMXnqpKXfibzTWpZcW3n733XlTnn2xLLPAVlaWKUsCZjR6IL72iYgoWMu7KGFh/hfGFKnA1GdLKDjjnMSdEEfyn8lk7cjCHmUnpn1MqMOqfA4cMElchwNOOMGU0SrKoUNw772B23M4TH/tTWJfcokpceKL02mS20f2gbNmwfTphXbfykh2MQhw04GHqUEi/LzLlEkLC4PffzcxBLpQnZpaeFtkpP/nFHc/kQpG/bWIiFRllWakt4hUUn/8YUZSt28PZ58Nxx0HHTqAr/qFU6cGNyLr2mtNu1533WVObot6rs1mjn/iiQW3Hzpk6owG84Xf5SpYZ7tzZ/8j1ZxOs09RBg8OfPKdlWVqjS9bFjg2EREBILxOOLFdYwHI2JhB5rbMEEdUiRw+bOpTN2xoFnw87TRo0MDUty6q1Mhnn0F2duB269eHe+7Ju3/GGaZutq8+1GYzCzIf6fXXCyXCd3AB27gagLY8R11+Nw/s22cWeAbT/xcVf35hYVBULePTTgsuoX3vvfDOO5qhJSIiIlKBKOktIuVn4UJzwvj33wW3r1sHgwbBjBmFn/Pvv4ETwrVqmZPf/Nq3N9OYGzQovL9lmXqbnTrB1q1527dvD1xXNL+kpLz9b7zR/3NdLrNPUYYOhWbN/C/kBTBzJvTqZV6XiIgEJbJpJNHHmtHJqStSyd4bRGK2uktLM/31++8XTBCnpMDkyXDllYUTujt2BO7HwFww9tbVBnNx+ptvzIXworjdcOaZZoHM/NavLxDDXvqyAbNeRgvephEFy57krvVx/vnme4Ov2VPekeVFlUCLjzclTwLNvFq71lwwGDNGiW8RERGRCkJJbxEpPzfdZJK/RyaxvSeEY8YULkfSsKH/k0ubzSSvixrR3agRtGvn+7nbtpmFJb3J6po1A7+G/OrUyRuZdu65MGJEXkz54wMzlfuss4puJzLSjEBr3Ljw8/NzuUysl11mRn6LiEhQottGE9E0AixI+SsFV1KAhRaruzffhMTEoi/mWpYZ1f3rrwW3168feAFLMH32kWJizOyrovo/j8ck3q+8EpYsydteu3buj4c4jjXcC9hpxJc05/3C7TRtav6NiDDJfIej8Ohyp9N873j8cd/xP/YYXHGF+dnX6HTv95rXXoPZs323JSIiIiJHjZLeIlI+Vq40pTl8jdq2LNizB374oeD2kSP9t2tZRe+zbp2pFf7LL76f63KZ/WbNMvebNClYIsUfux2uvz7vvs1mSrG8+CK0aJG3vWVLePlls+Clv+R9mzZm1Nq77/ov5+LxmPqqM2cGF6eIiAAQ2yWWsDphWG6L5MXJuDOKMbOnunn1Vf8jlJ1OeOutgtuGDfNf5svhgNNPNxek83O5zGyvCRP8H9Nuh6efzrv//4nnFNqwkklYhFOXXzmGFynU2zZtCn375t0fMAB++82MIPf2zVFRZp2OJUtM4tsXp9Mkzf/+2/Td/vp2hwNeesn34yIiIiJy1CjpLSJlz7LMyKhg/PtvwftXX21qfhd1Iu1wmMR2UQtSDhtmpmEH4nTCd9/l3X/00eAWjGzaFG67reA2u92MZt+0yUzz3rEDNm40I9iDqUseHg49egQusRIWZkbgiYhI0Gx2G3E94nDEOfBkekhelIwnJ0D5rOrojz/MRVh/XC7YsqXgtrp1Tb3votjtps+ePLnwY6++WviCt69jfvNN3v2rryajYXcSeQI3MdRgGe14DBtH/E5tNpN4PrIfPukkMwr74EEz8+vgQXjllYKlV/w5/njzHcJfot7thuXLg2tPRERERMqVkt4iUvbee69wLU5f6tYteD862kyhPvfcwmVDzjvPjOQ+clGp1auLlxTOXyrkzDPNtO2ICN/7n3WWqel5/fUwcCBMnGjqgeePrVEjcwsmgZ5fVFTgfTye4PYTEZEC7GF24nvFY4+0405xk/J3CpZHNZdz7dkD/fsH3s/hKHrNjIkTTWmQ2NiC21u1MutRFDWb6pFHgo8vX33x7LRw/gl/jhxqEcNGOvEADo5YoLJRIxPPV1+Z7xGjRsG8eQUT1TVqmHU1glmg8kjR0YH3UX8tIiIiUiEEsfqMiEgxeEd522yBF3OKjzcnpUeqU8eM7tqyBRYsMG2dcgo0b150UvnTT4OPz+02o6vzGzrUTLV+/nn48ks4dMjEcPrpcOqpcNVV5uTdbjcJ6DlzzGucOtWMTC+NFi3MyPY1a3y/X263WYhLRESKzRHlIL5nPEm/J5GzL4fUxFTiusWFOqyK4a23zCKWgbjdpi88ks0Gd91lZj398INZ8Ll1azj55KJnPLndeQtMBmK3m9HVgCvZReK5iWRucxHZMpIujzTF+WFfM9MqMhKOO87M+HrzTROP02lGijud8PbbcMEF5rtCeHhwx/blootMmRNfpdscDvOdQkRERERCTiO9RaRs/fefmSYdKOENMGmS/1FTLVtCQoI5KW/Txpysnn46fPttwf327Ak+vuhoszjWkSIjzYnyH3/A2rUm2X733SapvW+f2cd7kut2m5PpESNg4cLgj10Umw0eeMD3++VwmMU3u3Qp3XFERKoxZ4KTuB5xYIOs/7JIX58e6pAqhm++8Z3Aza9XLxg82PfjMTHQuTMsWmRmRDkc5qLuE08UTKofPBh8bB4P3HILniwPKy9cSeqyVMLqhtFlThciLu9vSpWtXWvKiUybZtbr+Oor81zvApvef7/+Gu64I/hj+zJqlBkpXlQJNrvdfJcYM6b0x5FqaeDAgezatavQzyIiIlIySnqLSNnKzg5uv9NPNyVD/Jk40YxwXrAgL9E8b5458X744bz9OncO7pgOhxnpFR8f3P6ffgq7dvmuue1wFFxkqzgsCzIyzL+XXgpPPZVXA9XhMKPTwIxw/+STkh1DRERyhdcLJ7azKcORvi6dzO2ZIY6oAshf7suXiAhTC9vpZ4Lo4sXQrZu5SO1dX2PbNrj3XtOPJSebbcUp/TFyJNawS1hz9RoO/3wYR6yDLrO6EH1MERfLDx2C11/3ncD3eMwC04cOBX/8/LKyzHeQOnXg55/Nv2DeE+/7kpBgZoI1a1ayY0i1N2/ePDIyMgr9LCIiIiWjpLeIlK1mzcwoqEBuuMF//esFC/IS2/mTzt6fJ06EP/80P190UeBa2k6nOSkfODBwbF7ff+9/QUqXy4wqy8nxvc+Rdu0yC2LWqGFGncfFmWnhw4aZBMHEiXD55TB6tEnwz51rTqRFRKTUIptHEtXGJF5Tl6eSvT/IC7VVVe/e/pPZDgecfbb/ft3tNv1wZmbeyGovjwdWrID77zf3Y2PhxBMDx3XPPVhvvcXGWzex77N92MJsdJzRkbjuPsrS/Ppr4IvuWVnFK4fmTZR36GBGcIeHmzU+9u6FrVvh/fdNyZcrrzTJ/u3bTVkXEREREakQlPQWkbIVHg433ug7WWy3Q716gWtUv/yy/xNxp9PsA2ZxrdGj/bf3wgu5tUGDlp0deNq3220S1sFMD9+6Fbp3hxdfzBv1lpZmRqcdd5z5+YEHzEKgL70EffoUf2FMERHxK7pdNBGNIsCClL9ScKW4Aj+pqhozpnCiOj+3O/CsrFmzTMLX16wot/v/2DvrMCeuLoy/M8m6sbgu7rC4SylStEgFK95SKkiRtsBXCm0p1hYpUtwptECRlqJFirtrcYfF1i2Z+/1xOk2yG5lkJbvL+T1Pnt0kI3cmydy57z3nPVQDIyqKno8fb79vq1YN+PZb3J5wB/dm3AMAlFlaBtmbZbe9jtYss88+o3ohjlAU4J136N7i0iV6TQiaiG7enI6nWzfyC1+0iGxPtBS5ZBiGYRiGYdINFr0Zhkl9Ro0C6talQa35wFavpzTp336zXkzqxAkaOIaG0jL2BuIGgynSG6AilO+8Q//Lsmnfskze4R984PxxVKtmP9JbZf16igp3RN++5A+eVBgwGIAXL1JeFJNhGIZxiCRJ8K/iD4/sHhCJAhGHI2CMsyHYZnUqVgSmTqX/zSeaVc/qzz+n6OakPHlCft21alG/7WiCNiYGuHqV/n/lFeDnnyl6GqB+Vu1r69UDtm3Dg4UPceN/JE6XmFYCeTrnsb99rZPaMTHAiBGOl1u+3GQtZl5zQ+2/Bw6kIpoMwzAMwzBMhsVOGCXDMIyL+PgA27dTWvDMmTQw9PMDunQBhgwBSpVKvs7EiVQ4Uq+3L3abI0nAoEHA6tXkjx0aCkyeTMLys2dA4cIkJBco4NpxvPceMHas4yhunY6itdu0sb3MtWvAjh223zcayX7l9GmgUiXX2sswDMNoQpIlBNQIQPi+cBijjYg8EonAuoGQ9S9hPMigQSR+//AD+VUrClmQDBliPSvrxAmgaVMgPFxblpPKmjXUJ9++TZ7YQ4aQfdeNGxQl/cYbQN26ePL7U1x+/zIAIGRECAoOLOh42yVLUpt27rTfJqMRWLuWvL2Dg20vN306CfG2tiVJdI8zcaLjtjEMwzAMwzBu4SW8s2cYJl3w9qZIqMuXScQODwdmz7YueG/eTII3oF3wlmUaKM+aRT7ZL14A+/fTIPrsWaBoUfLvPHTIOc9tc/LnBxYvdryc0Ugif+/eJFxb4+xZbfs8fVpz8xiGYRjXkT1lBNYKhOwpwxBuQNSJKAjzqN6XicaNgU2byJc7IQHYs8e64B0bC7RoQRZdzgjenp7At98C587R/cC1a8CECRRlXqQIeX2fPInwP27iQqcLgALk7ZMXRb8tqn0fCxfSBLsjDAaq77F8ue1CnmfPOhbPT57U3jaGYRiGYRgm3WHRm2EY9/P996ZUai2o0VdGo6VIrqYd//EHpS+PGwe89RZQsCBFf7lC584UkeaI+HgaQNeqBfzvf5bp0IApjdsRWpdjGIZhUozOT4eAmgGQZAkJjxIQfS7a3U3K2Pzyi3WbLkeok8/mfaOi0KT18OHA+PGIHjgZZ9uegxKnIEfr7Cg1pxQkZ+paFCpENTa0cPgwFaGsVQt4+jT5+15e9teXZcpqYxiGYRiGYTIsLHozDONehKCIMi0DaNWnW/UDtxeRJ4RpkP3kCdCyJXDqlPNt69uX1teCKsCPG2fyAlVp0MBxBJqnJ6VnMwzDMOmGR7AH/Kv5AwDibsYh9lqsm1uUgdm5U/skteoRLsv2+2sAcYnBOC0mwoAABOIcylVa77zVzJYt2rKzAFMU97lzJH4npV07+8W0FcVxQW6GcZLChQvDw8Mj2f8MwzAMw7gGi94Mw7gfLenkXl5A2bLA119T9La9wWhS1Kjw8ePp/0OHqPDkhQv219u2jdKlnUWWgUmTLF/z8yPrFVtRa5IEfPghkD278/tjGIZhUoRXXi/4laeJyegL0Yi/b8P24mVHq/1LoULUV8+f79AGJRGBOINJSEAu+OImKmIkdJPHkw3KjRtkgfb33/atyhISgG7dnLNcAejeYPNm4MoVy9eHDqW/1vpsnY5qhXTu7Ny+GMYB586dQ6FChZL9zzAMwzCMa7DozTBM+mMwmAbOkgTUru04ciw+Hrh0CfjmG+DhQ+f3aTRSwcsiRahAV+vWQPnyQM2awNGj1teZNcs52xUVRaGo8ogIy9dHjwbefZf+1+tJHFfF+06dgO++c35fDMMwTKrgU8wH3kXJYirqZBQSn7lYDyIroU4aq9Svr01YfvCAMp5Wr7a7mBHeOIPxiEFheOERQvEpPBBJ3uL16gHFigGtWgGvvEJ1NqZNsy68b9xINiWueLJLUnILtEqVqOCltze9L8um+4H8+angp6+v8/tiGIZhGIZh0g0WvRmGSR8SEmiwWrIk4OFBkdudOgHHj1MEtBZ7E0WhSK+dO7UXvDRHCODOHcvXTpwAGjakdiTl9GnnfUvNSSoM6HTAvHnAmTNU5POtt4CPPgKOHQNWrqTzwjAMw7gNv/J+8MzrCaEIRB6NhDE6BX1AZmbXLrIF8/SkydlKlcg6pEsXIDCQRGB7qH30tm02+zYFOpzHaESiHPSIQCg+gzfM7MQuXrRc4ckT4JNPaAI5KRcuOG6TPawJ+W3bAnfvAj/8QF7h77xDQv7Vq0Dp0q7vi2EYhmEYhkkXnPAHYBiGcZH4eIqsNo+kSkwEfvuNHmvWAJ9+SpHOOp19oVkIWsbbm7abElEaMK0/dCiwe7fle8+fu7ZNSQJKlACCgqy/X7EiDaIZhmGYDIUkSQioGoDwA+EwvDAg4nAEguoHQfZ8ieJE5swBPvjAsj8+dw7o3ZvE8PXrqU/X0gcLYdUiRAC4jE/xDLUhIw4VMQJ+uG25kK2I8m+/Bd5/n4pUq1y75ry1iXkb69a1/l727MDgwa5tl2EYhmEYhnErL9EdPMMwbmPKFBooC2GZemww0IC5a1fgiy+A7dtpIK0WqrSFwUCR4rlymYpbpgSjkYpp3rxpeu3ixeT2JFoRwr5/N8MwDJNhkXQSAmsGQuergzHaiIgjERBGF2wzMiM3blAGEmApaKuC8tKlwP37FFk9ZAiQM6fjbSYkkC0K8J9FyHW8j0doDsCIcvgKQXBQY8McSaJ2qAgBHD6sfX1z9HqyPKtc2bX1GYZhGCaLERcHLFsGtGgBVK9OJSz++ss1BzGGcTcsejMMk7YoCjB9uu0ILCGA2Fhg+XKgaVNgwwagWjVt2718GZgxA3j1VRqw5stnfVmt4vPdu6b/N21yPlVa9fvs2ZOi0BiGYZhMiewlI6BWACQPCYbnBkSejIR4GUZ7c+bY7zNlmfr0woWpYPM332jb7hdfkNXJm2/iTsHBuIMuAIDS+A45cci0nJb+WpYtrcoePKD7AWeRZbpvWLXK+XUZJhUxGo34+++/8eLFC3c3hWGYl5zHj0no7tGD4tGOH6cSF02bAt27pzzJOj24dQsYP54StX74AXj0yN0tYtwJi94Mw6Qtz59TVJg9dDrg5EnT89q1TQUebS1fowb5in70EfVoFy5QL50UDw/y7NZC7tym/+PjnRO9g4KARo3IrmXRopR5izIMwzBuR++vR2CNQEiyhIQHCYi5EOPuJqU9x4/bH9GqhZpVqld3vE2djiammzXDo1e+wbW7bQEAxTAX+bDVctlatRz3n4qSvL92Bi8voEwZYNw4qt0REuLc+gyTyuh0Orz22mt47qqtHsMwTCrRqZNpHlmNWVPLdPz8MzBhgnvapQWjERg0CChaFBg1Cpg5E/jsM3JD+/ZbjlR/WWFVhmGYtMWRVYmKl5fp/w8+sD/oVns0gKZy33yTPMKtrWM0AmPHkge4LWQZqFoVKFXK9FrlytqLZQYHAxMnAhs3Ah06sK0JwzBMFsEjhwf8K/sDAGKvxyL2RqybW5TGeHs77sPMC1NWrw5UqWJbqNbpqGhznjx4tvUZLvWnCO2CWI1CWGm5rCQBjRtTn65mTlnDaAS6dTM9L1CA+mEtyDKFqm3aBHz+ufb1GCaNqVChAq5fv+7uZjAM8xJz6hSVuLI1BBaCXEsTEtKzVdoZNYqS0YSgW4XERBLuDQZKOPvpJ3e3kHEHLHozDJO2BAQA9erZH8AaDMDrr5ue79tnKYKrqAPxQYPI+xsAZs+mXs3W1K0sAwsXAqNHW39f3eakSZavt2gBFCpkv90qz5+TUF+5suOodoZhGCZT4VXAC75lfAEA0eejkfAog472UgPzvtgaej3Qrp3p+aVLQEyMdQszSQKKFQOmT0fEkQic63AGQuiQG3+hOH5CMmldCLIs+/xzmjC31v9KEtC3L1CypOk1T09T4U1HKAplY5UpQ5lZDJNBGDt2LIYNG4Y//vgDDx48QEREhMWDYRgmrfnrL8fJVk+fAmfPpk97nOHFCxLk7UVzf/UVCeHMywWL3gzDpD0jR9qO3NbrgQoVgGbN6PmyZcC771IFjaQIQV7ZU6aYxOpt2+xHhRsMtMznnwPffQf4+1u+ny8fRWg3aWL5uk4HrFlDUW/2rFbMuXEDePttbcsyDMMwmQbfkr7wDvEGBBB5PBKJL7LoqKlrV7IOsSU4A1TAEgDu3aMClVevWt9WSAhw6BBinvvhbOuzUGKBYBxDGUyABBuj0ogICiHbtQsoXtzyPU9PsjObNSv5el98AdSsqc1azGike4POnYFr1xwvzzDpQKtWrXD69Gm0bdsWBQsWRHBwMIKDg5EtWzYEc0YCwzDpgNGoLWE5I/p6b95sXT4w5/Fj4NAh+8swWQ+NSg7DMEwKaNWKTLUGDKCeVFFoYGo0UrTWli303GAgcdoea9ZQ3pJqm2KrQKY5QtB+hw0DPvwQ+PNPmqYuVozEblvRYTVrAidOAN9/T2K8o57UYAAOHCBPVC3FOBmGYZhMg19FPxhjjUgMS0TkkUgE1Q+CzldDdHFmwt8f2LmTJqLv36f+UVGoD/XwIEPPKlVo2WnTKLTK1uj31i3E/3kYp7/IhsQniQgoFIPyd8dAFg6sw4Qgb+9Ll4D9+4Hz56ldLVsC2bNbX8fXl0LUZswgUfzmTWqzrZAvIei4Zs2iKlcM42Z27drl7iYwDPOSU6eOY0Hbzw8oXz592uMMkZGpuxyTdWDRm2GY9OGjj4A2bYAFC2gA6+tL/tevv26KpN63D3jwwP52nj0DduwgIR2g4pFnz9qPJG/UyPTcz8+5aOxSpYDXXgO2bgVu33a8vCyTYMCiN8MwTJZCkiUEVA9AxP4IGCIMiDgcgaD6QZA9sljiZLlyFL29ejVNSicmUvHo3r2BXLlMyy1ZYnd0nCgH4syAGMS/8IFPSR9UnOELffNo+/v29QUqVqT/JYkiyevX19ZuHx/q37dtI9HbUcUqo5H6dha9mQzAK6+84u4mMAzzklO/PiVgX7xovXuXZUq69vNzftvx8cCqVeQ6eucOuYj26UNJV9ZcTZ2lTBlty5mX8GJeDlj0Zhgm/QgJITMtWzx5om075st9+CFFftvCYLAseOUsv/5KZay1Yi+yjGEYhsnUyHoZAbUCEL43HMYoIyKPRiKwdiAkOYsVMPbxAXr0oIctnj+3+ZYRHjinfI3oFzngmdcToVtD4VnUh8TzkydtV8l6/XWqBeIKDx5QmJrWewmA+2smwxETE4Pbt28jIUmluNDQUDe1iGGYlwVJonIXDRoAYWGmhGpZpv/r1QPGjnV+u+HhlEB29KhpW7duAX//TQla27cD2bKlrO0NGgAlSgDXr1tPBNfpTMswLxdZLDSFYZhMTeHCzi9XqhSweLF9H8/u3Skl+8UL59pjMAADBzq3jtGoPSqNYRiGyXTovHUIrBUISS8h8Wkiok5FubtJ7qFAAasvC8i4iC8QjkrQeSQgdEsofIr60JurV1MtDVumob/8QlZktnzC7fH99zRKtyWoJ0WvB1591fn9MEwaEBYWhjZt2iAgIADly5dHlSpVLB4MwzDpQcmSwJkzwOjR5AQaHEyuZnPnUrK1r6/z2/zwQ3IMBUyCtPr35El6P6VIEkkC1upg6/U0n26tJAiT9WHRm2GYjEP16pSbZEvAliSgSBGapjWnWzeKDrPF06fAO+8AefMC/foBURoFih07gEePtC0LUI9auTJFmjEMwzBZFn2gHgHVAwAJiL8Xj+hLDmw7siL9+iXrrwWAK/gET9AQEhJQcZo//CuZFZAuXBj48Uf7EdY//ECj7vr1qUaGFoQg+zRnqmspClmvMUwG4JNPPsGLFy9w+PBh+Pj4YMuWLViyZAlKliyJjRs3urt5jDkGA4XDfvwx8MEHwNKljuv+MEwmIndu4Msvqdbzs2fAsWNA376mklrO8OABJU7b6p6NRnr/3r2UtRmgSPSDB8kFVb090evJ+ezoUaBs2ZTvIyPw6BEwbhwdZ5s2wNSpdpPvXnpY9GYYJuMgScBPP1EvlVT4Vl+bPTv5e8+eUXFKR8TH06C4aVNtN6f372tvuywDefIAa9dqK3vNMAzDZGo8c3nCP5QE3dh/YhF3+yUTPT7+mCaqzUKqbqInHuB1AArKvXoA2T6wMgm8aJGploc9Dh2iSW4twnd8POVPa0Gvp3564ULyL2eYDMDOnTsxefJkVK9eHbIso3DhwujWrRsmTZqE8ePHu7t56cO9e3Q/v2MHEJ1BJxIvXSJ/hDffBObNo+tIz55AwYJUzJ5hGAsOHHA8H60oqffzqVwZ2LiRnM6uXiWZ4Oefs46tye+/U/zAqFHA5s3Apk3AkCEUF7hvn7tblzFh0ZthmIxFo0ZUCDJpKmeFClRwqnnz5OucPk2FtrRgNAJHjlBUBkCGYuPGAYMGAZMmWQrdefNq22aRIrSNM2coD4xhGIZ5KfAO8YZPSbLuiDoThYSwBAdrZCECAoC9eymTSq/HPbTFLfQCAJR8/TpybR9lfRL4wAFtFiRGI5CQAHzyCT2PjaXimYMHA8OHA/v3myLGvby0eYH7+5Pl2YkTJFQxTAYhOjoauXPnBgAEBwcjLCwMAFCxYkWcUH0BsiqPHpGIHBICtG5N5r958wJffKHdrig9CA8nS6S7d+l5YqJp/PH8ORW+v3nTbc1jmIyIu0pnBAcDxYu7XiYkI3LpEl0qExIsfcuFoET2li2Bhw/d176MCoveDPMyERFBwm7JklR2uWhRqkbx7Jm7W2ZJgwaUR3XxIkV7nDsHnDoFNGliffmkxl1amD2bpkWLFqX8rZ9+AkaMoFLSo0dT79G0KZAzp+1tSBL1ptevA59/DmTP7nw7GIZhmEyNXxk/eBX0AgQQeSwShohUEGmEADZsoH4vIID6lx49TKaYGYXs2YElS/B4ziX8I30CACj8v4IosPE9232zM3220UihS4sWAfnzA716ATNnkgVK/fqUyxwWRv1x796Ot717N0VmVq6svQ0Mkw6ULl0aly9fBgBUqlQJc+bMwb179zB79mzky5fPza1LQ54/p9/xhg2WKk5UFAWU9O6dcQrOLl1KAr21sFVFoSzSmTPTv11MhsVgAFasoKFtnjxA6dI09I7QmJiUmVEUetSta7/0FkDv162bPu3KzEyfTpdDa5dERQFiYoD589O/XRkdFr0Z5mXh8WOgRg0Sdq9epavizZsk8FapYopayEiUKUMD/vLl7VuGVK8OBAZq364QNFU6ZQr9bzRSpIbaO3/9NZljeXrSwNoaansmT2Y7E4ZhmJcc/0r+8MjhAWEQiDgcAWOcE97SSRGCopvbtwf27CHx5/lzYOVK6sdXrUqtZqcKz3c/x8UP7wJCQr5++VDkm+L2V2jVSpu9iTnvv08T9wD112r059GjQIsW1Hd/+imFdlkTviUJ6NwZqFbNuf0yTDoxaNAgPHjwAAAwevRobN68GSEhIfjxxx8xbtw4N7cuDfnxRxqPWBOShQCWL6cMzYzA2rX23zcaqRgvk+k4cADo2JG6kKAgKhX1118p22Z8PG2nWzfa/uPHwJUrwNdfAR/3z5hD75QiBLBmDQnYej3g4UFdb7169ufB33rLZm1sxozff7ef/KIotAxjCYveDPOy8MEHFJFsHkUB0PP79zN3mq+vLzBggHPisyNP77Fj6W6lRw+K7Pg35fQ/8uenm9+2bZ1vL8MwDJOlkGQJATUCoPPXQYlTEHk4EopBcbyiNdavJyEIsBSCDAbqs3v0yDCj5chTkTjX7hxEgkDON3Ki1MxSkBz1xYMGOR+5KUTy+xeAzsmJE2R/VrAgWZ7UrGm5jKcn3SOotmYMkwHp1q0bevXqBQCoVq0abt26haNHj+LOnTvo1KmTexuXlsybZ9/wV6+n7IzU5tgxoEsXynz19KTrxvLl1q8zKlFRjq9dMTGp204mzfnpJxJl160DXryg+dUtWyjhNyV2+t98A2zbRv+bf60UAURGAt9+m3GSGFKLESOoaOSRI6Zu+8ABckKz9TPPlo0SsBnHJGhw0IuPT/t2ZDZY9GaYzEx4OEUily8P5MoFVK1KPXdsrOVyd+/SINrW1KDBQD7a/6ZVZkrGjKEpesBxDpUkOb7LePbMVA2ie3c6h1u2AIsXk+XKrVtAhw4pbTXDMAyTRZA9ZATWCoTsJcMQYUDksUgI5d++RggKv2nenCZRCxcmb+rr15NvaNo0+zYdikJCkZuJvR6Lsy3PwhhhRFDDIJRdURaSTsPkc6VKlO+t1zvur1UciWKrV9P/pUrRCPvMGWDZMuDXX8ngcto0CjljmAzKviQVyHx9fVG1alXktGezlxX4N7rdJgYDcPt26u7z11+BWrUoJDUmhrJHjh+n+/3evW0L36Gh9rNUJInqCyxb5ji45u5dqkn05Inrx5ES/vmHMlsHDaKs1ceP3dMON3PuHNVkBiyHyer/I0fSXKqzxMeT042tr5KiUN3W3buc33ZGZdcuYOJE+t+8y3ZUxPLpU45O1krt2vYvQXo928RYg0VvhsmsPHhAabqffQZcuEA3TadOUc9dvz4J4irHj2ubSs4o6YOuoNdT6veuXSR++/paj/zW62lKWQuRkab/PTxIrOjZkyxXXPERZxiGYbI0Ol8dAmoGQNJJSAxLRPTZaOp/P/yQMoP++os8qG/fJnPGChWo3zLn8GH7o0SjETh0KG0PxAEJjxNwpvkZJDxMgF+oHypsqACdtxP9YqdOZLU2fDgVg04JimLZXwNAxYqUU/7225SvzjAZnMaNG6No0aIYOXIkLly44O7mpB85cth/X68nM+TU4tEjujYIYalyqurk0qUkWlvjww/tewsIQdvv0cOUeZKUv/+mcVqhQlRbIE8esrJavRoYNYrGdT//nHbhmomJwHvv0QTh119TsNSnn5K3hC1LxyzMrFnqkE6gJg6jG5bhdWyEDyhiX6+nrtpZrlyhqHF76GRgnwuCekZlxgznncsAmvueOjXVm5MlGTDA/iXIaKTLFGMJi94Mk1np3p2ijZOW7hWCUn1z5CAjsd27tfdArvRUqY2j6WB7SBLQqBGJ37dvk8+n+roqgFerBixYoG17Zcq43haGYRjmpcQjmwcCqgUAEhB3Ow4x360E5syhN5OGP8XGAo0bU38zYwYJHY76Yklya39tiDTgTKsziL0aC+8i3gjdHAqPbC5EURcuTPnd168DEyYAPj70uhr9nSMH+eOGhNjfjiQBZcs6v3+GyUDcv38fQ4cOxZ49e1ChQgVUrlwZ3333He5mECujNKNXL/uBJAYDicipxYIFdO21FQwky5QZYg21NpK6nDXUa/zz5xQsc+OG6b3Nm+l6f/Cg6TVFoSKeHTuSl8bUqcA775AIvXOnU4eGu3eBoUMp+9fDAyhalK6t5pOCgweb7GLMaxoZDMCwYVQ02BmEoDoTdeuSTYyPD/Dmm5Rxk5gInD9P4dRafBncwL59QDXDIZxDBRxGbSxDD2xEOzxAPnyKSTAYBJIkYWhCSxKT0LhcZuHoUfuCrC0UBTh5MmUSQFbi8WPgzh36+SSlSRPKPgAsL5vqLeG0aTTnz1iShX5mDPMScekSRYs5murbvBl49VXg7FnA29v+NnU6WtYd3L1LN2HBwXTVzpWLrugpSfnLkQP48086VzNnkj/q8eMUHde+PVCunP2KGvXqsejNMAzDuIRnHk/4VfADAMT8tAnxUm77K1y+DAwcCDRrRg9HorY6qZvOKDEJOF9zK6KOR8EDLxB6twu8BnSl6HRXkSTg888pQnL5cioyvW4d1Rvp2BH46CP7yoAQwLvvur5/hskA5MyZE/3798f+/ftx7do1vP3221iyZAmKFCmCxo0bu7t5acfgwXTPbu2aJ8vAa6+l7vjk6FH72a+KQpmztnwpvv2WrlOOlCVFIYuT6dPp+vj++zT+MBptb1sVoQESzVu3JsFYCxcukHXUtGk0fjIYqEDo//5HgvSLF2T1NHu2/eMfM8a+r7k5QlDNqC5d6BgTE+mYN2ygcVSOHJTNVLEikDcvMHp0hhO/KySexC68itK4ZPF6ECIwCZ9jDMa4NMdcurTjBAVFoTmQrIIjqcEesmyKT1MUYPt2ct754AOKGUiazJUV+e03cqrNk4fm+vPmpeSPpK61335LdjCvvELn3MeHbgl37aJIcGsYjSS3PHyY9XzkNSFeIsLDwwUAER4e7u6mMEzKWLhQjenW/ujaVQhZtv6eLAvRs6fFLuLj48WYMWPEmDFjRHx8fNody+XLQuTMKYROZ9kmnU6IkBAh7t5Nm/0eOSKEj4/1/QYFCXHuXNrsl8nScD+TOvB5ZLIKUSeeijDUEU9QWyQg0HFfLctC9OghhCRZf1+nEyI4WIgXL9L9WJT4BHG+wE9iF3aJPfhThKM0tUmvp3b/8kva7DgmRojatZP31+o9zfffp81+mSxNRu9nDAaD+P3330XlypWFLMvubo5NUuU8/vOPEDVqJL/W9ewpRHR0qrVVCCFEx462x0Pqw8NDCEVxvK2GDW1fq9WHj4/l9cqZh15P/YEjFEWIcuWSXyPNz2Xv3kLMnattv8eOaTuXv/7q3PFIkhBt2ghhMGjbfjpwuXhLkQgb5w0QCdCL4b0furTtCROsfz1kKKK+HCa6Fw8TxkQN37NMwqef2v4K2nvodEI0aiTErVtC3LwpRKVKpp+hhwedQ39/If74w91HmHZMnmz9MiHLQtStS7dBrhAfL8TYsULkyWPaZvnyQixfnrrtTw9S0tdwpDfDZEaczYXS66k6eatWpueAKdK5YUOKhnYH3bpRNEPSnCajkaK80sqYqkYN8jBv3950PvV6iio7epSKgzIMwzBMCvAt5wdPPIWAhAiUhgEOQqEUBdi4kaLxZNkyI0mSgMBAYOtWICgobRueBCEErjbfgMf3ykCCARXwJQLxb/Frg4HGUt27k195auPjQ9ltn39u6c9dqRIVohs6NPX3yTBuYv/+/fjoo4+QL18+dO3aFRUqVMCmTZvc3ay0pUQJuic/eZKK9C5ZQvn9ixdTjZ7UpGVL+5HMej0tY60uUFLi4ujaZw81TFNr9LQ5BgMV3XS0j/37KdLblj+E0UjFgx8/1jaGjIrS1r4ff3SuxpEQwB9/AGvXal8nLQkLQ8nrW6CHbV8NGQo+yfeLS5sfNoycagDT0FuSAAmmpGYtX7PMwkcfkcONszKF0UhurIULA8WKUR1qgBIHEhPpaxMdTUP2kydTu9Xu5+ZN+q4AyS8TikJJ6jNmOL/dxEQqJfPll5RIp3LhAskvo0e73ORMRwYw8GUYxmkaNaJe0tFNkIrBQGlnJ0+SP9yiReQHnj8/eek1b+6ewoynTpHAbAuDgW6Obt927OnpChUq0IA5IoJKR+fMCQQEpP5+GIZhmJcSycsLAXVyIfxQJAzCD5EohyCchQwrZo0qL15QP//PP8DcueT/6uVFqe49erilMOOdSXdwb3dOAEAZTEB2HLNcQAjqsxctokJsqY2vL+X0jhlDE+Le3qlb3I5h3MyIESOwatUq3L9/H82aNcO0adPQrl07+Ka26JuRqVyZHmlJp06kNj5+bF0kNhpNCpQjQkOpjpIrRsZaiYujNtnz2Dh6lJRGe8J6QgIpko7Ed0kCSpbU1rZjx5w3YtbpaFK3Y0fTa4oC7NlD/t9+fkCbNqQKpzWPH0NyMJaWdDrkUR64tHmdjuqi9uxJFh2XLwPZswPvdAFaZQe8UmAHkhEpUoScRdu2pXkTVdAXgobXsgyEh5teU7+y5pKGra+nEPRV++ILIDXmAI1G2s6GDTQvFRoK9O7tntuKBQvsT34oCsUmfvqpc9tdsoRiJJKinuuvvwbeeuvl8ABn0ZthMiOFCwNvvAGsX6/9ZsPLi3qXpk3pkRHQMl0rBHD6dNqI3iqBgfRgGIZhmFRG+mwYAju8jXBUhBHeiEAZBOE8JNgRHzw9aQQ5YUK6tdMWDxY9wPXh1wEAxTEDefCX7YXTOgzLw4PugRgmi/H333/j008/RceOHZEzZ053NyfrcPUqGeDGxpKg3rw5sGMHVYR7+NCkuOl09HfePKBBA23b/uADYP78NG0+QkIc13jw9NQWCFWvHhXIfPDAurqo01FWcP781tePjqYgoeBgUjE9PEiUdwajEbhyxfT84EEKO71+3fRZ6PV0bidPpn2kFXnyOAwik4XR9vnQgCQlH3oLI/D0T5c3+R/XrtHX78oVSv56+236eruzOGajRpSksXQpsHcvHX+jRvQRCwEsW0bJbC9emOLetMbwCUGi+i+/0NyVq9y7R6UCLlygr5qi0Da//JLOZ2rWzdXCpUuO56Ju3aLIbWd+DjNm2J8L0+sprmL6dO3bzKyw6M0wmZX58ykC2l6ktIosA6+/nvZtchYvr9RdjmEYhmEyGu3bQ/76SwR+OQ7hciUYFH9EohQCcAnJgnskCShePMMIu0/+eILLfcnGpBBWohDspKXLMvfXDOMi+/fvd3cTshZRURS6uWYNXZtkmSKyCxYkhevqVWDVKsoojYsDqlUD+vZ17tpbrRpFjY8bl1xdciYj1xayTJ4Rjmje3PG+cuQAqlcn1bFFCxKfzQOn9HoSs3/8Mfm6165Rls0vv5DyptNR8FWDBsC2bc5HuqvZSmfP0uRDfDw9V4/BYKDQ1qgoyh5KK3LmpAyqzZttB5HJMtC5c9q1wUXGjaOoZ/Vrp9PRqapZk4ThHDnc17agICqoaK2o4scf0+Orr4Djx51PFADIMqZ6dbpVchajkX4u6ryL+VdXUSgBPiSEhPr0wt+fPj97PyMPD8dzX0m5fNm+mG4wUHLFywB7ejNMZiVbNmDfPmDlSqB+fdt5MbJMacF9+6Zr8zTRtKnjK7i/Px0fwzAMw2RWRo2C7tg+BHSpAsnLEwkIRjSKJF9OCGDEiAxh9Bl+IBwXOl4AjECennlQrPlt+1ZoBgOlpTMMw7gTIUiUXbeOniuKSVG6f5/GH7dvA+++S8ts3gyMHevaZOPYscDy5Za1gAoXJsNcZ67jSZfV6UjZs6YcJqVECTome/sbNowiwl99lTzAW7QwLe/pSaG4x49ThpE5ly5RHaRVq0jwBkg5XLeOai04K3jLMu0LIH+FhATrypwQ5Ol+6ZJz23eWceNostZW3zZmTLpYrSQmmrR/R6xYAfzvfybLD9VdDKCP8K230q6dqcWlSymbE/rpp+SvRUZSdHPdukCZMuQBvnmz5X5mzSKh19bXVpaBiRNdb5crvPmm/Z+RXk+fqbO3hX5+9t+X5ZfH1ZVFb4bJzHh60uzz3r2UK6RamKhIEl3xNm8G8uZ1XzttkTs30KeP7TwsSQI++ST1i9gwDMMwTHpTrRo8lv8E/0PLgJDCiEM+xEoF6D11AnjkSIpOdDPRF6Jxts1ZKLEKsrfKjtLzSkMa/rn9PNlixYB27dK3oQzDMEnZtw/Yvt16GKmikMKYWtZRkkShp6dPk/XHo0fAjRskerdvb1tMlWUgXz7K3F2wAChb1vReUBAV6N25U9sYaMcO4O+/bauI771nWWuhenWKcH/2jGxFnj2jMOFChZKv+/77VPsoqSpnMGhXaVV0OrIUee89skpZt85+qK9eTwpvWlKxIp270FDL14ODgalTqU9OQ37fSAHznp5UqiI0lLR+Wx+lEDTPYksAVYtCHj+eVi1OHfz9XbdhMRrJi9v8HN28SaW6Bg6kwo+XL5OrUatWZB9vNNJPcuBAx9veupXmYtKLli3JeclaHKAs02ftSqmUTp3sxxYqClnivAywvQnDZBXatCHDpwUL6GZPlillrFcvtxS90sy0aXSDuGEDXZkNBtPfnj1php1hGIZhsghelQtB2ToH0Yt3I3rfXsi6q/CqVIgysjJARaG4O3E40/wMDM8NCKwdiPK/lofsIVO+74IFJIIoiqkSldFI+cDbt6et/yrDMIwWVq40jSWsYTBQ5PKiRalngCxJVKXQnFmzSAy/dctS3NXpaNk9e0xFI3v3Bu7eJSG5UCHtVlGRkRTVnminOHL16taPM1s2etji8mUKrHIFnc6yAKfBAJQuTfWocuSgiHtH3haSBISFubZ/Z6hWjQqSnj5NBaQDA4FXXklzu641q4GPlwGS2bzI+fP0VTh4kOp9JhW3b992HPyu15PgW61a6rc5tXjzzZTZ4V+9Soka8+bRV7tdO/pKmQvh6hz9mjV0i3L/vrZtC2Gq+5oe6HQktL/+OnDkCH1+kkQ/6YAAchVypb7v4ME0gaIoyeMV9HpK6sgMWQGpAYveDJOVyJMnzWekUx1vb5rpP3CAfOYePSK/vV69MnZvzTAMwzAu4lMmEMZ3GiOuXl1EyRLkuoHwCHa/YJz4LBFnmp9B/N14+JbxRcU/KkLnZzYi792bKkAtWEACgbc30LYt0KFD+o0QGYZh7PH8uWPvhIQEKm7pyAMgJeTNCxw7Rj7Zc+dSAcns2SnL9ZNPLAskSpL1SGtHLF9O3te2jleSgClTaLLSWX+ElFiLCEHn9qOPKKy3YUMSktU2ZM9O/Ye9QpiKkr71LSpVokc6cOMGsHQZ/W+u/avi5Ny5FKWcNHlKS3C9JDlfXzS9ee01GuafOuWarzdAgm7JkuSCeuaM/WW1Ct4ACeRpeVmwRu7cFKG+fz9NWMTFAVWq0HyWq20pUYLE9A4dgCdPTDEJiYmUWLJpE/0EXwZY9GYYxv1IElUUr1fP3S1hGIZhmHTBr4IflFgFCY8SEHkkEkH1gywF5nTGGGPE2TZnEXMxBp4FPBG6NRQeOawI8QUKAF9+mf4NZBiG0UKxYo6XyZEjfewTg4PJV2H0aBKC7QnPQpClyZw5VOQxIIBsLHv3tp21e/iwKePG1jYvXyY7EX9/59ru7PLmKAopd35+1vsLb2/y9l682HZEvhBAjx6ut8GNXLoELF1K8xz58tFhlCljen/zn4BOBmDDMUynI3/qpKJ3SAgFokdE2N53YiJQtWqKDyFNkWVyX23UCLhwwbVtCAFMnkxfM3uJHc626/33qRjohQsU7N+kiaVlf9I2xMfTciktxSJJJODXq0fJKj/8QD999fVhwyjGIDGRxPHwcBL9y5Wzvc369SmBZO1aiiL38CA7lVdfzRClY9INFr0ZhmEYhmEYJp2RJAkB1QIQvj8chnADIg5HIKh+EGTP9C+5oyQqON/xPCIORkCfTY9KWyvBO+QlCQFiGDcRHBwMSaPy8OzZszRuTRaiTx9g/Hjb7+t0QL9+6a/6OBK8P/iAQnzNFbxjx4DvviOj5tKlk6+n02k7DntFiG1Rvz6J7c+fO78uQEL8mjUk+Ftj9GiqSfXsmXXF8ssvaZI1E2E0Av37kzWJuZ/y+PH0lZs5k4rqXb0KGG0I3up2Tp5M/rq3NzmhTZ1qfZ5DlimIvn37FB5IOpArFwn7jRu7vo0nT4CHD1OvTdmyAV98kfz1pk2Bn3821TS9fJnKAqxaRaJ7rlwklpctSz9hdS7qtddIrK5fH7hyhb4XBw+SSN66NYnaOXOa9iME+Y7PmGFyJBKCEuLbtSPR+9Ah4PFj0zq1atF2bVmgeHkBXbvSI704f56SUB49op9wz54Uee4uWPRmGIZhGIZhGDcg6SQE1grEi70vYIw2IvJoJALrBEKS00+MEULgyvtX8GzTM8jeMir+URF+5dM5t5dhXkKmTp363/9Pnz7F2LFj0bx5c9SpUwcAcPDgQWzduhWjRo1yUwszKcWLA6NGAV9/nfw9tejusGHp3y57zJ5NahlgKQALQb7WrVuT0pZUvH7tNWDhQtvblWWgdm3Ax8f5Nnl5Af/7X8rOVUyM7fcKFiR1sH9/Cq1VLVpy5qTQ2sWL6djq1yclsFYt19uRTowZQ4H6QHIdf+5cOrRvvtJmF27LemLMGJoDOXnS0qtZr6fH6tXudxtLSKC5GHtlPhQFePEi5VHaFSumXpS3rbnFnTsp4vvoUbJkadyYjlHdb1gYMG6cqdSJ+rls2kTzOu+8Q6K5JJkmK/buBb79FtiyhX6iAP0/Ywb9b/7Zquts3Ji8bceO0U/k0CEq5ulODAaa3Fm40DTpoxZfHTwY+P771Cuj4Axu2CXDMJmeuDi6mtWrR15r9erR84xuIMYwDMMwGQzZS0ZgrUBIHhISnyUi6mQUhCM/WmfYvx/o0oWEnjJlgOHDqbDav9wYeQMPFz8EdEC5X8shqF5Q6u2bYRib9OzZ87/H/v378fXXX2PlypUYOHAgBg4ciJUrV+Lrr7/Gnj173N3UzIeqPoaEmF7z9CRLjf37bduFuAMhSA2yFbFtNALXrpEilpQOHcgL3FYkt6IAn33metvMfbidRa937LNRpAjwxx/UJ23fTiHRz5/TZ3TzJlVu/PVXUgV/+MG1dqQTUVFkt2Gr+xaC7NWjooDadQB7Z1Wvp2KPiYkkYr/7LtC9O9nDGwxUA3XsWJMNvBrNe+wYWYa4AyFI2K1Wjdrj6UkSwbp1yZc9exYoVYo8q1319AZoLqdHD+tJEM5i77ZLUajNv/4KdOxIkkdSoV1d31ysNhjo9eXL6fWk/u2RkWQ38uIFvTZzpvNJGUYjtWfECOfWSwuGD6f6wAAdu8FgOuYpUyg63h1IIlXvqjM2ERERCAoKQnh4OAIDA93dHIbJ0CQkJGD8v6mBI0aMgKc6ZfziBU11njhhmspU/1atCvz1l/1K4AyTheF+JnXg88i8jCQ8SUDk4UgIRcCnhA/8yqZCtPWYMcBXX1mGUul0NBr94w/cOVMS1wZfAwCUXlAa+frkS/k+GSYTkNH6GX9/f5w6dQolkuSAX716FZUrV0ZUVJSbWmafjHYek6EolGsfG0sqW0Yco1y75jj338MDGDDAuvB78SKFnj56RM+FMF3zx48nJcpVOnYk1dLVUNqdO8lAWAu3b9N5UJVCa/z9N9CggWttSWN+/53sJxyx4TeB0Lin6NcP2BWdA4mKpfwty9RF//47WZncvEkfpxD0dfbxIfG1dWtaPjGR3nenR7MQwKBBwPTplpHO6v9jxphcbu7do+jsiIiUCd46HTkCzZhB1iFVqthPLEgpkkT7OHEi9bc7ZQqdv3z5XLdrkSS6BKgWLOnN8+fUfnvFVoOCyOfelcSTlPQ1HOnNMIxzfPABcPo0/a/2aOrf06cpp4VhGIZhGKfwzOkJv0okdMdejUXcrRRmT/3+OwnegKVgYTQC8fF41Or7/wTvouOKsuDNMG4kR44c2LBhQ7LXN2zYgBw5crihRVkEWSaFrWbNjCl4R0RQuKsWbAnBZcuS6jdzJpkP161L47GzZ1MmeCsKsH6964L3kCHOhR3PmUP7tHWcej0wbZprbUkHtAquMbFUI3TsWCDHv37OOp3Jnt3XlwoP9ukD3LlD76sRs0LQftq1A+bPp7kcD4+0F7wVBdi1iyLOW7YEevWi+Qz1o9q2jQRvdVnz9QASvY8cof+nT0+54C1JFGunRg6XKkW+187WppUk4O23tVluCEGCrSv2+I7Yto3+arG9sYXaPnexbZt9wRug4pv79qVPe8xhT2+GYbRz7x7lWJn3ZuaoBUvu3ct0hUcYhmEYxt14F/SGEqMg5nIMos5GQfaW4ZnHRXPOyZNpdGZlZPlMqYJL8YMBAAUGFkDI8JBkyzAMk3589dVXeO+997B7927U+te7+PDhw9iyZQvmzZvn5tYxacbgwcC5c46XS0wEGja0/X5AAPDhh/RILYxG2q+zBAeTstm1q3Nq7O7d9pVQg4GU1gyKVj/l8uUB3AaKFgWuXwdWrwV27KBDr1uXbEzWrjUJ3tYwGikKfNgwmlv44ou08UpWFLKbHz6crDhUZBlYsoQE8LVrKdranje3Xg/MmkVzT8uXp1zw/t//gJEjLSOGK1Uin/M+fcgdR8XHh76Kd+6Qg44q1NesSYkQ166RvOEInQ7InduUUJFaCGE6b2+8QRY2rp4fd0V5A05M+qRhNL4tWPRmGEY7Bw7YFrxVFIXKEr/1Vvq0iWEYhmGyEL6lfKHEKoi7HYfI45EIqhcEfZCTt+xC0KjPysgpAqVwHl9DwAO5ClxGiSmvQHJnXjTDMOjVqxfKli2LH3/8Eb/99hsAoGzZsti3b99/IjiTxXj6FFi2zPHYSpYpmKhNm9Tbd2IijevCwylMtkyZ5MvcuUMKo1Y3XEmiIqIHD1LFRmfR0g+Fh1M4a76Ml5lUvjyJ1ocPWxctdToSWitUAJ7epte8vcmTukcPy2XXr9d26sPDKYr63j1TAc3UQlHIAn/lSuvvAcDWrVSH9MQJ+wkBBgNw/LipzSlBpyMLEGsWGaVKUSTxhQvAmTO0TOPGNCcE0Hm6e5fE4WLF6LUyZWzGB1hgNJIFSZ8+KWu/teOpV4/+79+fJhni4x1fFsyRJHKfdefPomJFbcuVL5+27bAG25swDKMdHhQzDMMwTJrjV9EPHrk8IIwCEYcjYIxNQViUGTEogLOYACN8EYxjKFt1OySZ+3aGyQjUqlULK1aswIkTJ3DixAmsWLGCBe+MSGIi8OyZdtsPIUgJ/fJLCpn99VcgIYHCUrVEUvv4ULFHvdnkZ3w8ict795qq4Nnad2ysSUETAvjpJxLRGzUin4yyZUl1O3vWct0ZM7SP/fLnJ9Pmo0eTC95CAL/8Qoqwpyd5ULz1FrXfnKZNHYcrCwH07q2tTW5g4ULyLdYnmafW64HAQHpfCzEx2ucahADmziWRNzVZtcq64G2OolDEt4eH4+2pInWJEimTFAwGYMUK++enXDmgc2f6equCN0Bf+1q1TII3QF/d995z3Ka33iJblzffTD2LE0mir/x779HzYsXop+7ra3pPq/XKF1+kTptcpVo1ira3dW50OpqAcFS+IC1g0ZthGO3Urev4yqvT0XIMwzAMw7iEJEsIqB4AfaAeSryCiMMRUBKdDPtp0MBi9BGP7DiDSUhEMPxxGeUxGnKTjFkQjGFeRq5du4YvvvgCXbt2xePHjwEAmzdvxvnz593cMgYA+SD07k0qWo4cpGJ++CGFjtoiLAx45RWgdm3yUpg8GejUCShUSJutCQB8/TUQGkr/G43AN98AefPSeKthQ/r/vfco7HbAAArPHT6crFPy5ycFzdsbeOcd8sL46CNqlzmHD5PwffGi6bXffnMcblqkCLXp3j0SvZP6pgtB56hzZ9pHYiKJ8Bs20P6WLDEt+/77ydXipAhBx3n1qv3l3ETp0hTR3KcPnXKA/vbpQ9HQ1gLqrVGlinPCqiwDCxY43157aJ3zMBopetdee2XZZF3/wQcpb1tsLM0bpRZDh9pvv68vzRVJErB4sXNW9QDZogCW+9Dr6fnPP9PPVKVxY/o5/fgj1ZFt1kzbPlLbdsVZJAlYuhTw87M+6RMcnPrZCFph0ZthGO3kz09XX3tTeG+/bXnlZhiGYRjGaWS9jICaAZC9ZRgjjYg8FgmhaAz9Akjc+Ddf1wA/nMFExCE/fHAXodJI6P1loGfPNGo9wzDOsGfPHlSsWBGHDx/G2rVrERUVBQA4ffo0Ro8e7ebWMTh7lkIZly83VWuLjaVqglWrkiCeFKMRaNGCbEQAClFVI7ufPCFTYkeV6ySJwlUBU5Tz6NGW0d3x8aR4tmhB3girVgETJwJTp5IPBED7/eUXes0aRiOFF5uHizqqSgeQ8G8vIGr1apPSZS6gGwx0PO++C9y6Ra/lzw98+qnjfQKmqogZkCJF6JAjIuhjjoig50WKaN/G++87Z2+hKKlvd376tPZo81deoSB+a18FnY6i3999l5737k1z8ra+NlqccXLlcr7oY0ICTUgcOQJER1u+N2+e/WONjSUnIoCKkG7fDuzZQ3NfWnj8mDzNmzUj8TdXLrK0OX7cuiNsYCBZnaxcCXzyiePtSxK5Jbmb0FA6pm7d6PsAUIT/e+/RpI87orwBFr0ZhnGW2bNp+hkw9Vbq3ypV6H2GYRiGYVKMzkeHwFqBkPQSEp8kIup0lPaVW7cGvvkGRnjgnDQW0SgBDzxDqDwCnj5xlEObNCqPYRi3MHz4cIwdOxbbt2+Hp6epeG3jxo1x6NAhN7aMgRBUXTAqKrmlicFAVifvv598vU2bSOmxZhasKCRElyxpW/3T6cjHu3hxer5vHylv9tQ5g8G2ObEW0+L16+l4ABL57YW/6vVA9er2t/njj45Dls0LtdaoYX9Z831ncDw8SBTVYv2RlBIlTPMTWgtUXrxo3+nGWdRIdS20aAFs3kyCsCTRR65+7MHBwLZtpiKLnp7Ali0UXR0YaNpGvnyUCLFnj/196XRAv37a22YwUHJEvnz0da1Vi5Ijhg4lMRuguRl7Pw8hqGCniiRRksXXX2tvh6cnnaNnz0gEX7DAlMBhj8KFHS8jhGm5yEgqjLpli3uiv0uUABYtonaEhZGH+08/UXKLu2DRm2EY5wgKopuuJUuA+vXJfKp+fXq+bx+9n5YIQVfPFy+0Tz8zDMMwTCZFH6hHQLUAQALi78Yj5nKM5nXFiP/h4qs78EJUhk6ORWjxefAZ0RO4fJlCs9KauDgKddPqfcswLylnz55Fhw4dkr2eO3duPHnyxA0tYv7jxAkKe7UnJu/cmdxyY/Vq+4KvwQDcuEGKIWBaVlU5K1UiLwWVhQvTXuxVFJNS1r+/fSXQYCCrFHscP25/G0Yj2Z4ANKlw9apjTw293rX+S632OHkyKYKOJgHczMCBwJ9/kriqBaORHGlSiw4dHH/dZJmce0JD6SO5exeYOZMcfDp3JmH31i3LuREh6Ody6hQ9DwwE2ral+ZbBg8mP+7PPrO9Pp6M5oKFDtR2DOl81erRpLgegr9rUqfTTS0igJAdHRFmJOXDGruPYMe3LmlO2LM0F2Zr8kCQS8Rs1okSJvHkporxlS/Iw79rV8tjTC09Pitp3ZdIntWHRm2EY5/HyopycPXsonW/PHnrubJ6RMwhBwnpoKEWmBQdTrzh/PovfDMMwTJbGM7cn/EP9AQAxV2IQdyfO4TpCCPzT/x882aVA8pRQYXttBFzdDIwdCxQsmLYNPn2a7M78/Sm8K3t2slth8Y5hrJItWzY8ePAg2esnT55EgQIF3NAi5j+SFni0RVLv9fBwx8JqdDSwcSPw++8U1R0aSgUdV6ygQo/Zs5uWvXYt7ScQJcnkL9G8OXmEA5aKmyrOjx1L0eD2cKR4SRKNH2/fpmP/9FP74zpZJhUzTx772zUnPp4i8UNCyF/8s89IESxalAqBZmBatgR27aLap47Q6UxuNqnB4MGOo8xz5iTHH5WAADrFK1bQ6336kB+2ihB0+tu0IeE7IoIef/4J1KlDzjwAMGECJQnky2da18ODBNz9+7Unqe3YQdu09pVSFODvv6mdoaGOkxoqV7Z87fp154qHbtrknGWNOTNm0PEnbaM6PzRrFlmKTJ5sKeAbjWSRUq6c/dIDWR0WvRmGyRwMGUIlky9cML12+TLQty/1rix8MwzDMFkY7xBv+JT0AQBEnY5CQpj9Kk63vrmF+7PvAxJQdnlZBDcOTo9m0iiyVi1g3TqT4BMZSSPYGjXcX22JYTIgnTt3xueff46HDx9CkiQoioL9+/dj2LBh6NGjh7ub93JjrtrZw8fH8nnp0o5DZSWJQl0XLSLB9/RpKtTYtavJFFclZ07tXheuoNOR0K36UEgSMG0aVdqrWtX0Wt26VIjyf/9zvM3WrR2fg1atKKz4zh3b4zlV3WvUiBRAZ+jVi0KOFYW2r/ZL9+4Br71G5zwDc/u2Nm3eaKTI3tSifHn6mP386Ll5AL4sk0/z6dMm9x0trF0LfP+9qb0qBgN9PN2709dAkmi+5fZtShbYv58E/aVLtXl+q8ybZ//rJ8sUrf3xx46TGj780PK1+fO1twOg4zp50rl1VGrWpO9AnTqWr1eoQBMGgYF0y2VLVH/0iBJHXlbhm0VvhmEyPnv2mIzNzK/m6o3RnDl0g8gwDMMwWRjf0r7wKuAFCCDyWCQMEdaj/u7PuY+bo28CAErOKIncb+dOnwYaDECXLuRVm3QEaTRC3LkLDBuWPm1hmEzEuHHjUKZMGRQqVAhRUVEoV64cGjZsiLp16+IL8+KCTPrTrJnjbNagoOQ+FH37Oo7MFoJCMzdupOp+CxZYXy4qCrhyxfVQUUfIMqmDY8datu3gQTKLbtqU7FpiY2lis21bbdsdMsR2m3U6Mr0uVYosZOydK09PUvW2bdM+CQFQlP6qVdbboPqqf/ON9u2lMz/9RAHps2Y5XtbHB3jjjdTdf4sWNDcwfTpFEvfuTfVQY2NJUM6bV9t2jEY6zV262F9OCEuLd72e5lvq1rVMetDKlSv2v1aKQgkUTZo4/onHJUmwu37d+faonusxMTQBMHcufaW1OO3UqEHC944ddB6bNKHoc4PBsbgPkMVJ166Wr70sMYMZvwIAwzDMTz/RldxGr5UIPa70n4US51ukqcMKwzAMw7gTSZLgX9kfSpyCxKeJiDgSgaD6QdB5m3Jew34Lw5WPrgAACo8qjAIfpaM1wubNwP37Nt+WjAYYVqzCjf7TULKWCyNYhsmieHp6Yt68eRg1ahTOnTuHqKgoVKlSBSVLlnR305jgYAoFnTLFtkr06afJK/+VKkURzOvWOd6HOsZ57z1Sxj75xNLL4IMPgEuXXGm9JbJMKur9+6YqfgDVaFq0yGRX8uAB0L49cOQItUMIUgj9/EiY79RJ2/5q1KDim7160fpGI4XxqhHXT56QkirL9gX9+HiqkOeoKGZSVq60O4aE0UifT3S0KaQ5g7B1q2PLdHMmTSJ7EZUnT8i649o1+gp37EiRwc4SFET27inh/ffp6+VIZDUagQMHUrYvc3LlcvzVUhSgcWP6itlCpwN++IF8y4Ug8XnLFufbU6QIWZCMGUMJcCoFClAMX+vW9tefMAEYOdJ0TDod/bz8/LQ5H+3dS9HmR47QRMbFizSf1L49XcLUhI6sRqaL9J45cyaKFCkCb29v1KpVC0eOHHF3kxiGSWtOnbJ7JfeAAQHXTqFDhwxfk4RhXiq4z2aY1EeSJQTUCIDOXwclVkHk4UgoBhrRvdjzAhe6XgAUIF/ffCjyVZH0bdy5cw7DjfTCgA+aXsWVK+nUJobJRISEhKBVq1bo2LFjugre3F87YOJEoGdP+l+vNz0AYNAgYMSI5Os8f07eA84ybBjVRFDHPvfvk3ibkkGO2tY6daii3qNHZBPSqhWF0VatSt4HCQn0aNKEoq8B2q+qGkZHU4XCTp20R5137UoFO7/4gsR1ISy9Mu7d07YtV8JSnz51vIyikLF0BmPCBG0af548ZLVhLkzPmgXkz08FH+fMAcaPBypWpI8tacRyWnP0KNVg1frxpWbhw3fecfzVCg93XGTSaKRJiOhocgB65RVaTys6HTnz/PYbfSbmgjdAP/G2bYHt221vY+VKusyo80VCmC4RWgpxAvSz69mTrFouXKBzExcHrFlDrnQbNmg/psyE06J3z5498ffff6dFWxzyyy+/YMiQIRg9ejROnDiBSpUqoXnz5nj8+LFb2sMwTDqhYeY9Cn7YvJkqPzMMQ3CfzTBZE9lDRmCtQMieMgwRBkQdj0LkqUicbXsWIl4gZ/ucKDmrJCRzYSE98PXVJF48ifHF55+nQ3sYJpNgNBqxYMECdO3aFU2bNkXjxo0tHmlJpuuvY2IobLRbN8rznz7dOQXKFfR62ue5c2TZ8c47wOefk3/C1KnWvbaXLSMB2RXWrzdZO+7c6bqtiU5Halrv3uSLsHcvVQFcsgQYOJDCVQ8cIOuSLl2AkiXJc+HiRfuho7/+SlHpWilQgCxSVE8IcwVUixoaHEyR885SpIjj7fv4kM1KSoiPJ9Nm1b8ihcTFAbt325/n0OkoMvjuXeDdd02vr15NiQmJiSYHF/WjXLOGlo2Kcm0OYft2KkIZFER2I126AIcP219nwQLH1hsqkkSicmrRuTNQpoz9/Wv9aRmNVJhz507n2iDLdGs0fjwwerT1ZdTPwtZ9kRDAt99azhVZW98RQpDjjxCW6xgMdHxdutBcXVZDEsK5r3v79u3x559/onDhwujduzd69uyZbhWla9WqhRo1amDGv8ULFEVBoUKFMGDAAAwfPtzh+hEREQgKCkJYWBgCAwPTurkMk26cPk0zqGfPUopKw4Y0i5eSn2ZCQgJ++OEHAMDQoUPhmbSYSnry/ffA11/b7JUM0OE7fIoJui/QqFHWnaVkMj4RERHIlSsXwsPDM0Q/k1n7bLW/zijnkWFSiydPqL/+808aI5ctS1nfDRrYHszYI/FFIiIORCD+fjyuD78Ow1MDghoEIXRrKHQ+TqaBpwY3blBVKxvDCwXALRRBcVyDJMt4+NBUM41h0pOM1s/0798fixcvRuvWrZEvX75kE1ZTpkxJs32nRn/97P6z9DmPp08D7drRxVTWmdQbP19g5Sqg8atp3watDBwILFkKGDX4DlgjfwHg0kUqJPnBB46Xl2RAKKb/PfRkwNysmeVyW7cCb75pezt6j39VUg0y0fHjVLBTC716AevWO38+JBn47FNg1Cjn1gMohLZ0GdN5SYpOD/TuZZpgcJYnT4EJ46nCohpu++qrFJJbt67VVYRR4NnWZwCA7M2zQ9Il7/wjI4F8+ezvWidT5PZcMw9sIYDq1YErlx1/erlzk+38wIHanF2+/ZaEW70OMPwrxut1JJbOnAXYqrfbvh2w4y/H25clICCQ5pWC/627/eIFff0PHybxuFEjSoJwxtb90SNq2/79tA9JAoxOziHJElnDnD2r6VeRjMWLafKhb1/Hy1r7Sd2/79qcj7NIACZOcs5WJ72IiIhA9vzZXeqznRa9ASAsLAzLli3DkiVLcOHCBTRt2hTvvvsu2rVrB4/UzEcwIyEhAb6+vlizZg3at2//3+s9e/bEixcvsMGKyhUfH494M3OeiIgIFCpUCMOHD4d3Us8thmEYhkkhcXFxmDBhQoYZRAOZo8+21V9npPPIMCnlwAEqChUdnXwOt2BBYNo014pQRZ2LwpnmZ5BwPwE+pXxQ9XBVeGTT/ts+dYqy3PftM0WOffgh2b66xDvvQFm5CrINkaE3FmIxegOg7PkqVVzcD8OkgIwmeufMmRNLly5Fq1at0nW/qdVf/4E/4IeM5YnMMAzDZA2iEY02aONSn+2Sp3euXLkwZMgQnD59GocPH0aJEiXQvXt35M+fH4MHD8Y///zjymbt8uTJExiNRuTJk8fi9Tx58uDhw4dW1xk/fjyCgoL+exQqVCjV28UwDMMwGZnM0Gdzf81kdZ4+BVq2tC54A5Se/OabVLfZGQxRBlzucxkJ9xOgz6VHyIgQKNHaQ5hmzCAr1yVLgMuXyeNx8mSKQHfFihYAMH8+blR4HQAVmk6EHgboYISMERj3n+ANpDyjnGGyCp6enihRokS675f7a4ZhGCYro9FdxzoPHjzA9u3bsX37duh0OrRq1Qpnz55FuXLlMGnSJAwePDi12ukSI0aMwJAhQ/57rs5EDx06NEPM6DNMShACqF2bLNfseVHJMvDaa+Th5Qyu2psMHkzeXdbapNdTWpKrvtuzf0zA4ZEbUB97IUFgP+phPdojHpS5IUmUnWbua8Yw6UlERAQmTJjg7mZYJSP32bb6a4bJKixaRB6ajrwjBw0C3npLm+WHkqDg/JvnEXk0EvocepRZWAYQQNSpKMg+Mjyy24/23r8fGDCA/je3blVrlr3xBtmv5s/vuC0W+PjAZ8t61Cp0DG8rq5Adz3AdxbAYvXAPBQHQvUmtWkBIiJPbZpgsytChQzFt2jTMmDEj/b34ncBWf133ft20H183bQocOmR/mfwFyNsBIA+p1avJeuLePbqY9ehB/ggeHuRxvWcPDarq1qWZSdW7e9QoS3/mvPmAqVPI0NgWDx/SQOf+A0BJQdFJlWzZgFu3KAXnzh06/vsPLK06JBkoURzYvgPIqWEW8flzIDXvr/LmA65qDJ4YOxaY9J2DcyPR8f6yilKjkvLXTrK3sWYyodMDoRWBv/+27hdmNAJnztDsc8mSVAHSVaKigMKF6Ttmj7lzqZCnGVrsTQCyw+jSBdi65d/1/n1d/69z2fIVyb+Oz58DxYoCiU46yAQGAjdvkk2qNQoXdlwTtEplYO++5K8rCtVLPbAfUGx4THz0EdWKVT+2zz4D5s4x2agkRZaAb8bSPZOzPH1CLmy2tq3i6UlfVUWx3W5nuHuXAgqSFrFU0clAzVq2i1l+OYp0DmttkSUgWzDwzz90aduyhS5jt27R17xrV7qna9+ePgd79i6rVtm/zNlj6VKywbl3j55LAFq0JKfawoVd26ZKREQE4Oz9qIpwkoSEBLFmzRrRunVr4eHhIapVqyZ++uknER4e/t8yv/32m8iWLZuzm7ZLfHy80Ol0Yt26dRav9+jRQ7Rt21bTNsLDwwUAi7YyTGYlLEw1sXP8kCQh7t51bvvx8fFizJgxYsyYMSI+Pl7TOi9eCOHt7bg9ly+7cMBCiPBwIYoWFUKvT75NvV6IkiWFiIpybdsMkxpktH4ms/bZGe08MkxKadJEW38ty0J8/73j7SlGRZx/57zYhV1ij+8eEX44XCiKIsKPhIuwjWHiyeYnIjEy0e423nrLen+qPnQ6IcaMcf2YBw+m+w9r9ySyLMTOna5vm2FSSkbrZ9q3by+CgoJE0aJFRZs2bUSHDh0sHmlFpuqvq1Z1fBHNmZOWffFCiOrVTRdW87/ly9OAAhDCw4MegBCFCgnxxRe2B1OSJMQff9huX+fO9i+q6v4kSQgvLyH8/R0fz3ffmbb/5IkQX38tROHCQvj60sBn0iQaIGlFUYQIDtY+iHQ0wOzYUfu+792jY1Y/B3vbzZZNiJiY5Nt45RXqnOyt/9df2tvkKhcuOD4/Hh5CDB+ebFXFoIiwjWEibGOYUAyK3d0kJgrx009ClCtHp8Xbm75mx47ZXqdbN8dfQ2uPGzdsbzNPHu0/PWtERtLX1t76M2eali9UyPH+6ta1e+rs0rWr7a+RTkeXh8KFHX/VtD4KF6b9Llxo/X1ZpkvCkSO22xwVJUTt2sl/Pno9ravla79li+02qlpKov1bR5tMnGj7fObOLcTt265tVyUlfY3T9ib58uVD3759UbhwYRw5cgTHjh3DBx98YDGz++qrryJbtmwuyvDW8fT0RLVq1fDXXyYXfEVR8Ndff6FOnTqpui+GcTvR0VS1YfJkYOVKU2EMM+xVc06KEKZi2WnJsWNUbdoRe/a4tv3AQJq8r1GDnsuyqVh6nTpU5VpLIQ6GeVngPpth0hghqGOaOhWYNYsKOVrBoDHqSqcDrl51tEuBa8Ou4fGKx5D0EsqvLY/AmoGQJAkBVQOgD9ZDJApEHo6EEm87nGfnTvvtMhqBvzQUn7LFd98Bn35KUUcAHRsA5MxJGV+vZqB6cwzjbrJly4YOHTrglVdeQc6cOS0sRIKCgtJsv5mqv65WjSKxbaHT0TIAFSY4eZL+V1Ns1L/nz5uu1YmJ9AAoPPHbb61vWwj6O2SI6X8VRQF++w349VfHF/vmzYHp06m63tKl9pcFgC++AGJj6f8cOSgC/eZNGiteuUIXWWci7CUJ6NxZ+/L2EALo39/y+ebNFIldqhQQGkqDtiJFKMR10iRg/nzH7RWCouzXrKFI6hUrgG7dgA4daBBpbxCs1wNWar2lOv7+jpdRFG3L2UGvpxqm58/TYcfGkjSgfs2tMWkSFcG091Oxhr2Sd61bO17/yRPb9y/PngG3b9tff+xY00erRU+wIo9oZsoUijzWJan3rdfTeRgwgKKkndFbbCFJQOXKwO+/09d45crkGXRVqtBXW9U4rOHnR/dtEybQTwqgtr7zDmkwjRs7bkvNmpToIkmmqHr1HISEANu2Of+9ASjJ5X//s/6e0Uif/5gxzm831XBWJV+6dKmIjY11Wl1PDVatWiW8vLzE4sWLxYULF8T7778vsmXLJh4+fKhp/Yw2o88wVpk5Uwg/P9PUGCBEQIAQs2dbLGY0apsFVR+nTyfflaIIsX27EEOGCNG/vxCLF5sm1V2J9N6+XVtb5sxJ6UkS4sQJIaZMEWLqVCFOnUr59hgmNcho/Uxm7bMz2nlkGKucPi1EmTKmMB01EvDttymsyYyRIx0Ht6mRNp9/bn13169TkN/UOrfELuwSu7BLPFj2INlyxjijeLbjmQjbGCae731uM5JMS7Bf/fopPksiLEyI+fMpgn39eiESElK+TYZJKdzPmMg0/fXJk44vWr//LsT9+6kXomntYR5mu3evKWrc0UOns0zl+eYbbR3D0KGpex53707Z8aspPKNHm7ZpMFCIsdqR2VpPpxNi3DjH+/DwEOLdd4UoWNB07qylDlnrRPv2Td3zZYvKlR1/fhcuJFvNmUhvV3n4UIgPPxTCx8fxKZNlSqKwx9at2rYzfrz19WfN0vbxNWkixObNQoSEOP4ppfRjfvKEAvHVeyEvLyF69yaNoVUrbT9NgCLcW7Y0tcvWuQEogaFsWcv3GjQQ4uxZ59tvMJCWo5XVqylTQP0Zqp9HUBDJTxrlHqt8953j8+XlJUR0tOv7SElfA9d36x6mT58uQkJChKenp6hZs6Y4dOiQ5nX55obJ8MyZY/9qsXChxeK20kiSPooXT35RvHNHiNBQ032FmtkXHEzpMa6I3s+f0wXNUXsuXkyl88UwGQzuZyxxtc/m88hkeG7coNGLtRGOTidE48YWHe/Nm9oGfIAQx49b7spoFGLQIFq/hfTgP8G7I26Lzz6zPuhJjEwUTzY/EWEbw0T4EbI+Scobbzi2N/nyy9Q9bQyTUeB+xpJM01+rgqn5tVdVWz78kC6Ia9dqu9i6+ti0idpy4gQNfLSqY5JE6p/KmDHa1s2Txzl1yx6JiULkz6+9Q0raKXh4kDKZ1Oblu++0b1PLMcsyWaE4O3khSUL8+GPqnCtHbNhg/1y9+abV1VJb9FYUIfbvF+L994V4/XX6u38/vR4bS/cfdevaP5VJ3I2Scf6841Pv4SHEiBHW1//hB+0fu9aP+uRJ2nZYGEkkU6cK8eefJAY7e/6iouhea9kyU+yhlseFC6af5ubNQjRs6NrPys8vbYP4Dh40xWYk3b9eL0SFCtrPW1SUEGvWCDF3rhA7dtB569/fpCXZe9y86foxvFSid0rgmxsmQxMfL0T27PavFLlzW4RI/fGHtovpxInJd1W6tPXBrizTLOCZM86L3kII0a+f7U5VrxeiadPUOmEMk/HgfiZ14PPIZHj693dsmrljx3+LK4q2iKvixZPvaswYeq82nogd/wre/XD1v3VsRVYlPE0QT/4g4TvqXPKCF3//bV838PSkCXKGyYpkhH6mSpUq4tmzZ0IIISpXriyqVKli85FRcct5/P13S3WpShVSq1T1Ka1FbzV9tk0b50RZSbI0trVnsJv08fx56py79etdP+7z561v02AQIl8+585DzpzOKZxat+vjk3rnSgtz51JnKcuk+qn3Be3a2Sw0lZqid3w82aqr42zzvx07mqJ3nz4Vok4d0/s6HT1kWdscQXg4Haajj2DRIuvrb9uWuh+1hwcd29ChJrFV/ToVKEDZ586yaZNzc0EhIST4JuXOHW01zswfOl3KPMod0a6d40vV77/b34ai0NxW0lIEOXMK0aiR4+3LMpVacJWU9DUuOLYwDJMm7NxJhkf2ePyYvEObNAEA3L+vbdNly1o+X7cOuHzZ+rKKQnZ0P/4IFCyobfvm/PAD+Y7t20d+24pi8owqXhxYvtz5bTIMwzBMhmLpUvverXo91eb4t7+OiTHZstqjShXL51FR5M9ZFuEYjfPQAdiGPJiLYv8tM2ECMGgQ4ONjua5Hdg/4V/FH5PFIxF6Phewrw6eoaaEGDah0yJAh1Fz1cPR66rdXr3btPoBhGG20a9cOXl5eAID27du7tzGZiTZt6GEwkJ6iFg5QqVOHjGpTw5DXHFkGKlQAKlYkz+k//zT5hGtZt1s3oFAh02vNmpG/dUSE4/U9Pe2/f/48cPgwHXfjxpb7CQ8HliwBtm6lAaA6QNOKus1y5ay/f+MG8OCB9u2pn5mtNuh05F8eFkbLam2jEHScqVynxi59+wJvvgksWwb88w99nh07kolzGiIEcPAgWdefOUOvqX24+nf1avL2njoVyJ4d2L+f5IY1a4DISKBMGaB3b6BAAcf7CwwEunalcby1Wx9JIvvyjh2tr9+kCVC0KPl6p8bPMjGRfLfnzTN9RdSv04MHQMuWwN69QO3a2rf55Zd0HFq/csOGmWqLmfPXX9o8yc0xGoEDB+jnWbq0c+tq2fbGjfaPS6+nWitt2theZsIEYOTI5K8/eUJ11eyh0wGtWgFay1PExAAJCbS8qiOlBBa9GSaj8PSp08vlyqVtlaTLrV1r/17QYKB6LAMHatu+OX5+dLH/9VfqiG7eBHLnpk61Z08uNMkwDMNkchTFsUhhMFj01z4+9LAnfOv1NEA156+/gJwx0RiPs/CGgkPIjkkoDQHTKCA8nAYcLVsm36ZXfi8YY4yIuRiD6HPRkH1keOX1+u/9wYOB+vWprtq+fdSGVq2Ajz8GSpa0f4gMw6SM0aNHW/2f0Yitimv58lG1ttWrU0/4lmV6TJtGKsyzZ9qEY1VFa9cOmDMn+TbHj6cLrr39NmwI+Ppaf//OHRLT//7bcp8dO9JA7MIFoEUL6ii0qnnm+1YUEvp//tn2cs5uFwC8vICZM2nGVlFM6qHBADRqRNvcuVN7O1u0AEaMAOrVc74tKSV7djqOdCI2lj7eP/6wv5wQwOzZVEAwWzb6WjRp8t9cvNOMGwfs2EFFC82Fb1mmfc2fb/trKstUwLFxYxIztRb3toWXl6XgbY4acDdqFLB9u7bt3boFHD/ueDn1J9G3r+2f7ZMnrs+5XbuW+qL3gweOf6JGo/3CoM+fA1995dr+ZZnOh5ZCllu30iVxzx56XrAg6VEp/XlZmZtgGCZdOXYM6NED+OQTbcsXLvzfvy1a2J8xkySaVa1Z0/L1yEjHF2ItEWnmREfTBVEICkbo1o0uWLduAUePAh99xII3wzAMk4l58gT49luKdrMW3mOOXm/RX6tBfrY0GoAGgd27W74WcysOk3AGQTDgIgLwFcrDaOX2PSrK9nZ9S/jCu7A3LXciCrFhiXj6lCKlAKBGDQpcv34duHKFosJY8GYYJlMze7Yp2la9Xqt/c+Sgv0lDCCWJLohJI8cBUvNatgTef59SV0ePtn9BV2nYkMZ6v/0GeHsnf79fP7rg2gpnVBRg+HDr7z17RrOWBw5Yvi4EhfM2bQo0b06TtM4I035+QLVqtO7PPwNHjgA5c9pevmhRIE8e7dsHgFdeocHh3bukcrVqRaHHFSvSQNLb234/K8tA9ep0bLGxpAC7Q/B2A/36UZKBFuLjHUfhaiVfPvoq9OhBorNK7drAtm22o7xVatWin0KXLiSCuopeD1SqZP/rYTSSQB8Wpm2bDx9qW65oUWDhQrpPsrX/kBDX59rSIklh/nxty1WoYPu9336jyQpnUM9PgQIkZletan/52bNJ29q3z/Ta3bt0+WvTxvn9W7TF9VUZhkkxc+aQIr1yJQ2m7SHLdDNgpmB7e9N9gi2EAL7/PvlFuVw5+/dpkgSUKKGh/QA2baIUaX9/muguUoQsTtTBNMMwDMNkei5fphHBl1/S/44i/AwG4N13LV4aPpy0BGuDPVkG3niD9BaVxGeJKDDtDPIgHrfhg+GoiDhYHykmtTFLil9FPzw1eGL6VIGmBSJRIKcRgYGk39y8aX9dhmHSHqPRiO+//x41a9ZE3rx5kT17dosH4yRBQeTnsGgRULcuDVDq1CHF6s4dijIuUsS0fKFClJJ69Kj1QUxUFAmr//xDM4SrVtF13p7yptcDv/xCArItdDpK6SlVyvRckuivLAM//UTiszV++olUIWths0YjKZQREc5ZmQDU17VpQypUly72rVXCwoCxY0lddYZhw+hv7tzAo0fkv3DpEnD2LClkjqxjFIXCPwMCHFu/ZCHu3CGLEWc+Umc/GnvkywcsWECyxaVLZLW6fz/Nr2ihbFmaZD992rX963SkOTgSvVUcOccCpJeMGqVt/9euAX36AHnzAkOHUtBfUl5/3TXxOn9+mhhIbRYu1LZcnz6233v8WPtEhU5H34fvvwc2byb3o0aN7K9z964pcj7phIGi0ASG1uOwBoveDOMuTp4kIy4hHOf4qCl1P/2ULBLgww/pvk2N+FbfzpmTtPQ33ki+ufffd7zLfv1M/2/dSlZxSZk+ne6JDh40vXb7NvDpp0D79ix8MwzDMFkAIahTe/pU+0jz44+B0FCLl4oVI4/JpAK1Xk/6uHn2uDHGiLNtz0K5HoMXHp4YLldCBJIP7HU6irKqUIEyqzZvpiyrpBExly9LqNfHHxt36iESFZRFBBLjFCxaRNE3ly5pOyyGYdKGr776CpMnT0anTp0QHh6OIUOG4I033oAsyxijJS88M2M0UprJxYspC+dLipcX0KsXXXhv3KAQwt69yWvqo4+Aq1dJRbx9m94/dsy+gax5tLQ6kFIU22rQ119ri4AuVAg4d478J7t2pcHbF1/QRf2DD2yvt3Ch4z7JWesRSSLhf+xYCmudNMn2stevUzT9N9+Qx7lWhg83hZXOm0fFJQDLc6q2xRbNmtG5MicxkTqzy5dT7p+RQdm82fmPNGmtEKsYjcCuXaRIb93qcBDv7082HEkt2bRSvjzZrNgKwtPpKAAv6XxGaCj9jCtVcvwR63QkTgMk/C9bBrz6Ks0vNW4MrFhBl5u9e7XboKhERpLTUdOmyf27vb2BGTPof2f8qL/9NmUR8LZ49MjxMqVLm86VNQoWdO4nlTMn2ee1aKHtmObPd3yukrpDOQOL3gzjLqZP135lq16dOiIb02QffUR+TWvWkAC+cSPNvHbubH1zpUvThdUWAQGWF54336R7k+rVTQL3jRsmR5akM3JCUKe8YIGmo2MYhmGYjMvOnTSQ1nLHHxxMIsGPP1p9u2JFKjp18CAF0S1eTBEuc+ea0oUVg4ILnS8gYn8E9Nn0KPRzKCJ9va0OCIxGCgJs1Yr0iVat6FYhf37KulIHx336AC8iZZwzBiAeMnxgRBlEwmgQiIiwH+HDMEzas2LFCsybNw9Dhw6FXq9Hly5dMH/+fHz55Zc4dOiQu5uXNigK+QQULkyDk3LlSHn58ktSo5yNUHYWWSY1p1AhSnk5d855RVGnS148KV8+usCPGKFtG//8Q1X5+vSh2c9z5yh91p6lCKDdu8EZhKDzbjTS388/pygqa3TpQiGgWj8nLy/qG9U0ZSGAiRNtq122PgtJok5UVfMSE0l4z5+fZpXLlKHPdNKk1C9m6mbi4rQLqXo9ibtqEoFNNm6kG4jGjSnboUUL8qRYujTF7bXHkiX080sasS1J5Phz8CDpG6tWUcLGsWPAiRMkmHfp4thdSJLo43/xgrLSe/Qg6/t//qHggG7dyGVn0SJtTkVJMRqpdqw1Mfadd8gSpHhxy9cLFjQlc5ij3selBY7m3WTZMsvQGh06aLeplST7Aro1zp61fxkRgubYXEa8RISHhwsAIjw83N1NYRghihYVgn7Djh8rVji16fh4IS5eFOLKFSGMRuvL3L8vhJ+f7V16eMSLMWPGiDFjxggPj3gBCCHLQnh6CnHwoBAjRwqh09leX5KEKF/e+r4NBiH++EOIzp2FaNxYiD59hNi3TwhFcfIcMkwGg/uZ1IHPI5Oh+OorIfR6x321LAvx2mtOb/7WLSHOnxciMlIIRVHExXcvil3YJfZ47xHP/34uhBCiRQvttwzmj88/F+LsWcvXfJAoauKJqIMwURIRAlAEIMS5c9bbd+mSEEOGCNGkiRBt2wqxcKEQMTEpOJ8MkwHIaP2Mr6+vuHXrlhBCiLx584rjx48LIYS4du2aCAwMdGfT7PLfefzkEyEGDxZi+XIhYmMdr6goQvTta/vipV5z8+QR4osvhHj6NG0P5ORJ1y6ygBB58wpx44YQW7cKceCAEImJ2vd74IAQvr6WfYwk0aNePfsX27JlaTl7gzFXj8l8G2XLJh+knTjheF29XoixY4X45hshfv2VBqjm3Ljhert0OiHGjKFBZbt21o9VkoTo1i3DDTAVgyLCNoaJsI1hQjE417bdu7Wfonz56P7CLn/8Yfq+WdvIokUuH6cWnj0TYvx4IUqUECIgQIjSpYX44QchIiIcr1u1quNz8MMPQnTqZFuz0OmECAlx/aciSdRmWyiKEMePC7FtG+kyz57R8kn3p9PRZeTq1dQ7typjxtjXbAAh/vrL8XbmzNF+Xk6edK6N3bo5bqNe73qfDafXyMRktJsb5iWneHFtVw1ZppseDcTF0X1hcLBp9ZAQIaZPT97fOxKtrYneanNq1xbi9de1NT3pfiMihGjY0HSBV++JALrgOXOfyDAZDe5nUgc+j0yG4uuvtYne6gjo9m1Nm12/XojKlU2rensL8WOla2IXdold8i4Rtj5MCJFctHZ2QDZ1avLXAxEvaiNM1EGYKIQoAQixalXyNn7/PW1DPXx1oBYSkjaDM4ZJLzJaP1OqVClx6NAhIYQQ9erVE+PHjxdCCLFq1SqRK1cudzbNLv+dR51OCA8PukDkyCHErl32V9yzR/uFTKcTolgxIR4+TLsDefZM+3U+6SNfPtf2mZBAor4s2x5IDR9ue/3Jk1NH2NbyuH7dct+zZmnb9/btttt/9WrK2lS5MonpjpbbssW1zyeNSInorShCBAW59pH9R3S0EE+e0KC7ZEn7n2P27MknKzII2bI5Pgf169v+eZnfJzkSXO09PDy0t7l7d/sCfI0aqX+enj4VonBh65c3WRaiTRvt80Lz59PkhL1z2b27821cs8b+OdbrhejQwfU+m+1NGMZdNG+uLZdGUeyabT59SnVV1q0je7Nx44Dnz03v375NGXMDBliut3y5axlfigIcOkTrOnJn8fJKnr7z7rtU8AIw7V/NGF+xguzvGIZhGCbD0LixdjNDIcgn1goGA6XUrltH2fvt25PViUrLuLuoePo2ACD/96WQsx2ltv/6q2uptwClrZrX3VCJgCeuwR8AUBCxyIM4+PpaLrNxI9UaE8J0+ELQ33v36DYmi9qmMky606FDB/z1118AgAEDBmDUqFEoWbIkevTogT6ZwX/IaDT5AD9/DrRsSR7dtpgzR/uFzWikAc3AgSlvpy2Cg4FOnZy/2Or1ZE7sChs3kkWHrbx+RaF6Trdvk8d3oUKAry/Zd0yZQp7W5crZro78+utks5IaxMaSt8bjx/Q56/WmDsEeHh623wsJAXLkcL1NcXF0fuwNSPX61DsHGQBJoq+CPWSZan0ULZrkjQMHgNatyZA7Z056/POP/c/x2TPy+M6AaLn/ePZMm+19SlxwAgK0LRcWRk5BtvZlNJKd/okTrrfFGtmzWy826ulJJQPWrNFmmRMZSZftqCjr73t6ko+3KwUn27Ylhytrl1+1bSm5/LPozTDu4uOPtd0sAEBgYLKXYmKoIGW+fHRP88YbVIjB1oV95kzLga8z9UasUbmy/Q5CrycvcHNu3qQLq631hKCiELGxKWsbwzAMw6QadetStcekxpO2sNJnL11K4/tGjai//uYbel3ts1/FY/QHieULpaKYfj3/f+s+f+5cMSRzJIk0h6SCNgCEwRt3QW+U8YpC/QqWBeQmTrR9yEYjcO0aTbozDJNyJkyYgJEjRwIAOnXqhL///hsffvgh1qxZgwkTJri5dU6iKKRIff+97WUuXnRu1sxgoEKPDx+mvH22mDgRyJ3bOeHbaAQGDXJtf8eO2ReFASA8nCoRTphABSBiY6no59ChwGuvAb//DnTsaCn8+vhQ4aU1a4B+/chcOGlFQGfw9ial1d+fDIJVFc1RxxQQYN8s2MMD6N9fe99qjl4P1KxJRSvtDUgNBlomCzFoEFlu2zr9igJ89lmSF9etAxo2JAFb1R/Cw7Xt8PZtl9ualtSubX++Q6cjb3AtNG9u/XVHX02djrzBtXDmjONLniSRT3hqU6AA1Vu7ehX45Re6JNy/T/qQWk/GEZ9+SoK8NflKlsk7/vvvXQvS8PCgYqKq/7xeTw9JosvZ6tV0G+4qLHozjLsoV45Cm7VcTd95x+Ilg4GKHSxY4LC48n/o9VQoS6V4cdcH0QAN2osXtz8jN3So5evbtzvW+SMiaJaTYRiGYTIEkgSsX09Rdo4oXJgECjPmzqXaUA8eWF+lKp5hBC5CBvAbCmCZCMGiRUB8PL1fvHjKopAKFACGDLHe59+BL57ACx3aAcqlSBgiaEQWHU1BYfYipPR6YMsW19vFMIxt6tSpgyFDhuD11193d1Ncw2CgNBVbZM/u/EDEaKSKZ2lFgQI0COne3VIJKl+exmPmCpuqyMyZA1Sv7tr+PD21BUCFh1t2AmrW//nzNIP6888kiG/aRKLmw4dUyVgVuq3NempFlmmwuXGjqQ1RUTSG9fa2rTpKEgnajvY9cqQpUt58TOxofGwwUABZtmz2l5Mkx8tkMjw8gL/+osA3STL9jNQx+bhxVHjwP6Ki6DutFih1litXUtzmtGDQIMeH89lnji8zOh1pKuPGUcKH+esdOgAVKlj/mut0VNzxk0+0tVeLGCyE65l9WihenObIOnRwLskiPJwKj9o634pC9XdTUnO5UCGaGNi0CXjvPfrKTptG4nz79q5vFwDS8JQyDOOQTp2oynSDBqT2JkWno4ixjz6yeHn9ekqRdgaDwdIl5cMPafLfWSSJmly1KnW4zZvTBLp6gTYa6f5m1SqKBjcnMZHWd3R/p1XIZxiGYZh0oVAhuqPv0AHYscP2cl9/bTFYj45OPgFsTklE4huchwcEdiEXZqIEAAnR0ZRFXqgQRRF99pnjFF1rGAy0ftmywJMnlOVtPqAyGIAm/fzRo5sC4/NERByOQFD9ICQmOvAv+xfurxnGdTZu3Kh52bZt26ZhS9KImBi66bemOnXuTAMJZ9Ealugq+fNTfv706TRTGRQE5MpFIZIzZ5KorCjAK6+Q6Boa6vq+WrbU5utozw9hxQoKr8yblyKikvLoEfVbrlysZZkeipK8AzIY6LPNlo28NnU6ao9eT++99Rbw1VfJtykE8Pff1BmdO0fj3LfeAtq1o/N+5QpFiHftSvYlM2eatg2Y/v/mG4r0fucdYNQo+x1k167OH3sGp3RpGn+vWEFRuzExQKVKZFdRoUKShVeuNP0WXeH06RS3Ny1o3Zos2L7/3vIrotfT12HxYkrU69AB2LDB+s9IpwPefpvmu0aMoACBI0co6KBCBfpZhYXRMnv20PKSRF/x/Pnp3CezkbFBjRr01Y6MtL2MJJFdbUbj3Dn6OdpDlkn0rlPH9f3odHQZs3YpSwksejOMuwkNpWmt11+n6AU1ciAxEShYkGbW8+WzWGXBAsuLuxZk2XKiu2dP8vXeu1d7H6jes373Hf1fuDAFGWzeTLNy8fEU7NCtm9XsbtSo4Xhfen3K7h8ZhmEYJk3w96fQ5k8+oYG4KggYDBR69d13QI8eFqts2GDb/zA/YjABZ+ALI04gG8ajLBSYxCHVJzJnTmDqVNJXnEGSqD9WB8A//USRUUuXUuRM/vzU3DJlJCiJAQjfHw5jpBGRRyIRUCcQxYrJuHHDdr9tNNrPXGcYxj7tNYavSZIEY0rSPdyBJAElStgOs+zalSw7bt3SbnOSLRtQq5Zr7YmNJd+A+HigYkW6ANrDz4/ar1KiBPlopya1apFCdOSI6+k8CQk0jmzUyPr7CxbQMTsreAYEAG3akGBqC6OR/DIXL6bO7tEjUgDffZfaY/7ZX7xI4umSJdSPquK4JJH/Zr58wO7dyf0omjShqHXVo7NBA1I6W7em5++/T+GgT58mP4d6vamjy4L4+1MAm8MgtnPn6Fy4OkudUk/UNEKSgEmTaP5p2jQSXPV6+mp88okpAWPePLIuP3eOngthmssJDaV7IxUvL/qKmZMrF301jx+nr25CAt37tGzpuL6ZOb6+5Es9bpz1n6MaWV6kiBMnIZ3QcpxpHaWeEjJosxjmJaNwYboR2L2boh6MRqBePZtX09u3nb83UhSgSxfTc09PunCPHg1Mnqxte3nyALNmWc6+6XR0T9SmjeP1a9SgCHFbnlY6HQV+5MrleFsMwzAMk+7odBQBOGwYGSM+eUJ9eJculK6fhHv3rE9SByMek3AG2ZGIf+CPUaiAxH9dB3U64NVXLSeqP/qIrGYHDrRtk2KOXk8RX5MnW75epgwNuJIie8gIrBWI8L3hMEQYEHUiEoMGBOKTIdYFK1mmAVwS9zWGYZxAcSV9IzORJFPVAl9fYNcuyls/cYIuWkajfXF22DDnI70VBfj2WxJOVQ9jWab9zpxJoZwqkZEkznp40GyhI7/tlCJJ5LXcrBkFPiWNlm7RQpuHlD2laedO59OEdDpqU5UqZFFjb5BoNJJQ/dtv1t+/ehXo3RvYt8/y9aTVkR89IrXy0iVLa5MOHeihKJZeHio5c1IIbrt2FCWunguDgVKcNmywHon1MuHr63qUt15PYeUZFElyrENkz07zXcuXA/Pn06R/vnx0//LeezS/pYVq1eiREsaMoXooq1aZfubqz752bZqjyohUqUL3pPbmP4RIXiwzoyAJ4eovIPMRERGBoKAghIeHI/Blv/gxmZpmzZy7h9HrgWLFSFf39k7+/v371FmcPGkqxu3hkYDhw8cDAHLlGoGiRT3RrFnKZ/D++QeoXz/5hLws02B8716rugHDZAq4n0kd+DwyWYWlSymzyhxfGDAVp1ASUbgHbwxAFTwHCTmSRP3h7t3UVyZFCLJLmTqVllMjlgwGGpT06EE+jS1bkhbgLIZwA8L3h0MYBfT5vNBnXADWrTNFRQF0HyDLlIhmq/gTw2R0uJ9JHf47jwD+O4uyTBewbdsci9RCUFHEHTsof37HDgqpVBUh9e/771NIprNFD/v1o1DPpJKHXk/+UUePkrg9YgTZa6g5/Llzk8g+dKhrhRadITGRClL++isJ86VLA3370rlzVIkvKIhCWPPnt97OJk1o0OgsdeqQKjhggGPB9OTJ5J6WAPmMV6lC1Zi1Rmv9+Sd1YM6iKHScf/9NHWnjxlS4MSUFrNIIYRR4+udTAECOVjkg6dK4jYcPk6LqKtu3Z1w100lOnaI5sHXr6CsZFEQ/teHDnfO4TglCkN6xcCFw/ToJ8N26UVChM5Hj6c1XX9HDVpR6s2ZU3HzLFrLdCQszJX7UrJnyn2JK+mwWvRkmE/Lzz46jq8yzrqtXJx/wAgVsLy8EDbJ//ZXsxUuVSgBAZHOV8gAAqCxJREFUoveIESPgmZKq30l4+BD48UfKhnv6lFxc+vUjn3E1nZthMiPcz6QOfB6ZrEJEBAUSxsbScw8omIAzqIoXeAYPDEAV3IcvPDxI9wgKor7RkevBzZvAokUURBcURFlSDRqkzvg+4XECIo5EAALwKuGLtYd9MX06cOECaTBvvQUMHky13Rgms5IR+5m//voLU6ZMwcWLFwEAZcuWxSeffIKmGVhwSiZ658hBEd4jR1qPtHGEqggtW0aqSUgI0KePdVHVEadOJSssbIFOR8L29u0UGWRNmO3Xj/yn3UW7duQh6Ug0zpWLzvtnn1kWjxw7ltJ6nYn21uvpQj9xInkt2JOLChWiDsma4N6/P507rYK3hwd5cH33nfa2ZkLSXfQWgiYB9u61/VlYK7olSSQ4LF2aIScPnGXXLkqeUBTLjHOdjr7mBw9ytrk9DAYK4vj5Z9NcpBoQUbUqsGYNFZ/cvz950kqfPlTUPSWiPoveGsmINzcM4woJCRRAceJE8r5Lp6MBdteudM/TrBkVcXC2r0pISMD48SR6P3gwAs+fe6JECbpoFS+eSgfCMFkM7mdSBz6PTFZi8uR/gwUhMAoX0AhhiIEOg1EZV+UA9OlDA62yZUln8PFxbT83b1rWAXv7bQrOciVIMe5WHKLOkBm5fxV/eBd0QbximAxMRutnZs2ahUGDBuGtt95CnX8rgR06dAhr1qzBlClT8LGzpv7pxH/n8dIlBHp5UYRNWtuCaGXgQIoOt+cZ7ufnuMjf4cMUqugOXrygyOdDh0xKknnqjTmyTF6SO3eahO+HDync0llfbzW6t1cvmoCwJZrPm0ceEUkxGslWJCZG+z49PCiy/IcftK+TCUl30RugaPu2bclmRk3bVhT6Tk2dSlH5s2aZLIBy56bZ7U8/zdjhxxpJTKT5mbAw619lnY4y5RYuTP19R0fT/JsQVGw0IIBO99y5VBfNYKCghY8+oqz3jIwQ5CY0fz7ZtOTOTVHq7dsDnTpRBqC1eRVJovm3kSNd3zeL3hrJaDc3DJMSXrygTL81a0z3MJJEqTELF9JFKCU8eZKAmTNJ9J44cQTi4z0hSdRRfPUVFcpmGMYS7mdSBz6PTFZCCGDGdIHbn/6D1gn3kQgJwxGKZ0WCMWcO8NprKd/Hd98Bn3+e3PKkdm0KEnTFNiz6YjRir8ZCkiUE1AqAZ87Uy/hiGHeT0fqZggULYvjw4ejfv7/F6zNnzsS4ceNw7949N7XMPhntPFrQoQOluqYEvZ4ifubMSZUmuYTBQH4B331H3tdPntheVpaBL7+k6G6VP/+kc2E0Oo66lmXg9dfJ/0GSyO6le3cacKpiqRD0+Oor4IsvrG8nMtI1L+3ffqO2ZmHcInoD9Jnt20efZWQkzbT36mUKb46LAy5fNnmOZpTJq1Rg3TrgjTfsL+PpCTx+TNlzqUF8PP08fvqJhG+A5qKaNyexOzHR9HPU60ljmTuX7EAyG9euWdb9tUb27GSp62xZBpWU9DVcyJJhMinZspEVyZ07NOMmBEV0p1YUdu/epqrHBoPlrOiXX9Jsaa9eqbMvhmEYhsmqSBLwesQt3Ey4DyEBz/uVxQ+dgtGwYepYxa5aRRntgGkApfbZR49S9Lgrlq6+ZXyhxCiIvx+PyGORCKoXBH0ADx0YJi148eIFWrRokez11157DZ9//rkbWpQFyJXLlF/vKgYD+UillIgIYMYMEs/v3gWCgym0dMgQ8nm0x/LlFOnkqNAnQBf/WbMoOkntYFq1ogKds2aRd7jqffn8OXUOasfh40PhpuPGmVKEvb2B1aspVPXnn8mXslgx8jmw125fX3pojfTW6cjc+PXX7S9nMNBM7sWLFKXfrh1Z4GQEzpwh9S84GKhXL+OJxpJEIcUNGlh/39ubQpGzIGfPOr4UJCSQx7Y9RyStGI00d7N1q6WGEhNDAnxS1Hb17QuEhlLCRmZi61brDjnmPHtGLgX/JjKlK3znyjCZnEKFKK0kNTl3ji5equhtjbFj6X4nC1h8MQzDMEyacX/efdwcdRMAUHJaCbw6IIWpWGYIAXzzje3BhtFIPpbHjwPVqjm3bUmS4F/FH0qcgsRniYg4HIFsDbJB9krjom4M8xLStm1brFu3Dp9++qnF6xs2bECbNm3c1KpMTrduZL9hC52OwjvVogu2lnGlKrA5T5+S0Hj5skkBe/qUChwtWUJey+XKWV931y6KNHcmOf/xY0oJNk/xKVYM+P57epjz8CEpUXo9pQbZiqCsXNk5X3WdjqKj5s51POmg09F+f//dFE1uTlgYDUxPnCB/6adPTaGxgwbRgHT2bNdDSFPKsWPk/X7ihOm13LlpsNy3r3vaxFjg66vN1v7SpdQRvdevp2huZ1HdZlasSHkb0pPERMeiN0ATC+6ARW+GySDcvEn3NYpCEdtly7qvLX/84di+69o14J9/gFKl0qdNDMMwDJMRiImhwcyTJ1T8qGlT233mkw1PcOWDKwCAkP+FoOAABxF9TnL3LhWYtIdeTz6LzoreAMjapEYAwveFwxhtRMThCATWDYSsZ+GbYVKTcuXK4dtvv8Xu3bstPL3379+PoUOH4scff/xv2YEDB7qrmZmLBg2A1q3pgp1U8dLpyMfgzTfJF9KW7YfRCHTpkrJ2fPIJFVtI2gajkTyUO3WiKGFrkUTjxlHEttZikCpai4jmzUuR4GnB8OHAL7+QAG+t/d7eFL3VpQvwwQcU6W1OQgL5SlsTzs2fL11KExerVqX6ITjk1CmgYcPkat7jxxSdHxNDwjzjVtq2JXtyR8yenfKfO0Ce16oFvzMYDDS/k9moUcPxpIKnJ1CxYvq0JyksejOMm3nxgryb1q2znB179VWqG1KgQPq3KS5OW8p1XFzat4VhGIZhMgJCANOmkcVXZKTp9fz5ybOxbVvL5V/sfYELnS8ACpD33bwo+k3RVG+Tln5YtWV1FdlTRmCtQITvC4ch3ICoE1EIqBEAiVO9GCbVWLBgAYKDg3HhwgVcMJvJypYtGxYsWPDfc0mSWPTWiiSRNcfHH5Mwaq5AVaxIdh0BAeRxHBGRXKHS6YCqVYGURNo/eUJirD1R/dw54OBBinoyJz4e+Osv56K8dTqgcWNTIUsAOH+erFVUr4VXXwX693dtJtQZChWi4+rdG9i/3/S6jw8JwWPH2o+y6tGDPj9HapqikLj+xRdAhQqp03atfP45Cd62Pt/hwyniXTWKNhqB+w+BiHjXPM8ZlyhVin7K5sH41vj7b7KOLVQoZfu7ds15wVslM1ZcrFOHfnoXL1o/bp0O6NrVtfoyqQGHaTCMG0lIoAJWGzYkv8Dt3k0Xj4MH079dlSpRmoo9fHwoU45hGIZhXgamTKGgM3PBG6DCPO3akRiuBp9FnY3CubbnoMQpyNE2B0rNLpUmInGhQqTZ2CMx0bmsdGvo/HQIqBkASZaQ8CgB0eeiU7ZBhmEsuHHjhqbH9evX3d3UzIWPD0Vy374NLFpEoZyHD5P6VbYs+VLv2WMqiqTTmSJ/mjYFtmyxbrmhlXPnHNt7yDJZZCQlPt55BUxRgP/9z/R85Uoa2M2fD9y4Ady6RR7hNWrQbG1aU7IkFU88d47asm4dWaqMH29f8D5+nIRsLZ4UAH1GK1emTpu1cv8+sG2bfXUzPp4mVeLjgW+/pWi2kBCy3vlkMLBmbfq19yWnZUtttqyPHqV8XzlzumYBq9dT4kBmQ5Ko1lxQUPKftSzTpXbyZPe0DWDRm2Hcym+/UZEpa32lEBQFXrcuZd5prQOSGrz+OpAnj+33dTqatPf3T782MQzDMIy7iIykumD2+OYboGhR4MSfcTjT4gwMLwwIqh+EcqvKpZkdiLc3WYba0g5kGciRA3jjjZTvyyPYA/5VqeOPuxmH2Gt2fHAZhnGKODvpGA8ePEjHlmRR8ueniNt+/YCaNS0VqYoVycx3504SJr/7jqKjt2xJeWiip6fjZYSwvlxAgLaQU1mm4/HyIkH7lVfo9X/+Abp3p4GmufBuMNA+P/6YBqLpQfnyQOfOQPv22iKcly1zbrJBkqhSXnqi5Xep19NEQ+vWNDNurqjeuAF07gRMnJh2bWT+o6iGZDtJoktFSunRw7X1DIbM64ZTtiy5NA0ZQpb2Hh4UIDl+PHDgANV3dRcsejOMG1myRJuNyPr1rl88XUGvp3sNa+h0QJkydE/IMAzDMC8Dv/+ubfI56l4CLrx+Ggn3E+Bb3hcVNlaAzsdBkYwUMmYMBfIlvZ/Q6+nxyy+pV9/LK58X/Mr7AQCiL0Qj/n586myYYV5yqlatilOnTiV7fe3atQgNDU3/Br1sSBLZfnz+Oak2tgpLOku1atrUnhYtrLepf3/7g0XVN2DKFBJhu3Y1vecokluno2KaGZHHj7VHeQMk7Kd3CnJuDUWpDQaafNi5M/nxiH+fjxhByzBpyltv2b8X0umAZs1SR/Tu3p2SHKwFJKg/Z/P31Pmd8eOBRo1Svn93UaAAMGkSze0kJJDNy2efOc5ITGtY9GYYN/Lggbb+XFGAtWvJJym9MLeVU4MP8uShSLcDB4Bs2dKvLQzDMAzjTh4/djxJ7Q0jxomzKKjEIi7IC5W2VoJHsEeaty0ggLLzv/7aNFjz8AA6dqQgviZNUnd/PsV84F2UiqRFnYxC4jMHfmgMwzikUaNGqF27Nib+G/UZHR2NXr16oXv37hg5cqSbW8e4jJcXMGyY7fd1OlLjihSx/v4nn5AKlrQDUm1Yli+nSKVBg5KL6zt32rfeMBiAXbs0HIQG4uIce2M6Q8GC2iLDVGQ5fSPEAIrCb9jQfjv1erJqsYcsU7FOJk0JCgImTLD+nk5HekdqBd37+dF9Wf369FySTF+T2rXJFadPH/qa580LdOhAfuLDh6fO/hlLWPRmGDdSuLB9OzNzdDqyBHMHT55QUewHD4DRo7nuBsMwDPNyUbCg/UlqHRSMwXmURSTCocfYwFB4FUil8GoN+PuTjeu9e9Rfx8UBK1YAaRUg6lfeD555PSEUgcijkTBGu1ixiWEYAMCsWbOwdu1aTJ06FQ0aNEClSpVw6tQpHDlyBIMHD3Z385iUMHw4+VABppBO9W/9+oBZodJkeHoCf/5J4ZOqMC7LQKtWpJJ17mx7XS2mwimpNWEwALNmAaVLk3e6lxeFyu7Y4fo2VXr3duyFbs6ECfa9OdOKCRMsfeCTMmoUcP26fW92o5HsdJg0Z9AgYN685F+VypXp52Sv/klMDNnGT5pE5QFevLC/r7x5qUbb6dNUBH3KFODkSarp2qwZzXPcuUP6yq+/Ag0apOzYGNuw6M0wbuS997RX9pXl5MWz0gtZJt/QNKjBxTAMwzAZnjZtbGc4SRD4DJdRC88QBxkjUBFX4vzStX3meHs7FyDnCpIkIaBqAPTZ9FASFEQcjoCS4EQqOsMwyWjZsiXeeOMN7N+/H7dv38bEiRNRoUIFdzeLSSlqJO/RozT4a9EC6NIF2LqVorEd5f57eQFDh5J4GhNDRRE3bgTq1bO/XrNm9qOr9Hoq1ukKRiOlE/Xvb7LmEIIix5s1A+bMcW27KmXL0rYdUawYsHQpnR93UKcOhe0mNYwOCCB19IsvaELAERcuOGfnwrjMe+8Bd+/SV3XdOvKhPnYMqF7d9joLF5KI3bUrMHIk8O67QL58wLhxjmvNhoYCAwYAAwemvKi4ECSib9kCnDrlfJ3blxUWvRnGjbRuTfc9WsRkg4Em0lWMRpop3LiRLtYMwzAMw6QN3t62rU/fx3W8hkcwAhiD8riiC0pmB3v1KvmC79xJekVWQNJJCKwZCJ2vDsZoIyKOREAYeQTGMK5w7do11KlTB3/88Qe2bt2Kzz77DG3btsVnn32GxNS0jWDcR/Xq5LO9eTMJta+95twMpSSRgKq1wOOHH5qKXFrDaCQlzhUWLSLFUAhL5U2N5vroIyrgmBKmTaMiUkFBptckiYT69euBs2epc+3ePWX7SSmNGpHwv2eP6bw8fAh8+im19623HKd237pF3wkmXdDr6WNr357q2Npj5UoSudXgQ6ORvvJxcZRh9/33ad1aYudOEtArVwZatgSqVAEqVKA5F8Y+LHozjBuRZeoXBw603xdKEuDrC3TqRM9//pkmlOvXB9q1owJWVasCBw+mT7sZhmEY5mWje3cqCpk3r+m1jriNzrgDAJiEMjiMHDAaabwP0Di4SRMqaNS2Lf2fLx/www9ZI0JH9pIRUCsAkocEw3MDIk9GQmSFA2OYdKZy5cooWrQoTp8+jWbNmmHs2LHYtWsXfvvtN9SsWdPdzWMyI0WLUqel1yevmifLFL5apYpr254+3b5gL0nA/PmubVtFlims9uFD4K+/gE2bgBs3gO3baQBcoULGSUOWJPL37tWLlFRfX9N79jzdzdefOjWNGse4iqI49tn+6isgOjpt27FjB82RXbhg+fqlSySAb96ctvvP7LDozTBuxtub+rgrV2ggba1OCUD3Jf7+NIH8zjvkAWXO6dM0Y3n4cHq0mmEYhmFePjp2pLTYN94AmuEhPsR1AMBsFMM25IUk0XtvvkmBW7Vrk6ejOc+f0xg4q9Sm0/vrEVgjEJIsIeFBAmIuxri7SQyT6Zg1axZWrVqFbGY+SnXr1sXJkydRtWpV9zWMoXTbzZvJsuO336hwQmahQwfg4kUyMy5fHihXDujXj6Kke/VybZtCAOfO2bfjMBppcJoaeHsDjRuTj3nhwqmzzfSkfHmyQbGH6luh1feUSReOHAFu37a/THQ02e6nFUJQIIUQyX9yimJ6n91xbMOiN8NkEIoVI5uSfv0srb/q1qUJ7Y4d6R5LjR5LiqJQ0Wx3WZoxDMMwzMuATgfMefcpRsiXAQC/oiB+QSHkyweMH0+BdTodMGQI8OyZ7YHIxIkpz/7OKHjk8IB/ZX8AQOy1WMTezESiEMNkALr/a9GQkJCAy5cvw/BvEb+AgAAssFfokElbfvuNKhm3agV88AHNaObNS5HOmYXixSm96Nw5Kpg4YwaSeXA5gySRz7g91IJQDFGwoGMrG3sFMRm38OyZtuWePk27Nhw6RFmDtu4lhQBu3gT27Uu7NmR2+FfFMBmIXLmoCPbTp8C1a8Djx1RJuEkTev9//yP/KFsIQT7f166lT3sZhmEY5mUj4nAELrx9HpIikLtrbgy/WRw3b0q4cwf4/HPKHL93j7QSe0hS1rLw9CrgBd8ylNIdfS4aCY8S3Nwihsk8xMbG4t1334Wvry/Kly+P2/+GFw4YMAATJ050c+teUv74g/yYHz+2fD0igrwpbRV6eBlo186+t7iikKcXQ7RoYT8UV6/XXuiLSTeS1idN6XLXrtF94muvkQvOggVUm9YeSbP7beEoIj0zERsLLFlCXup9+tD/KUmwYdGbYVKByEiyHfnqK2DmTODRIypY1bQpEBgIZM9OXqAnTmjbno8PRX7nymV6TQhgxQpt69+96/wxMAzDMExWR1HIGnTsWIrKPnaMImj69wdy5wYCAoBatYBly6xnGcdcjsGZ1megxCgIbh6MMovKIKSwhMKFLS1TZ87U1p6s1l/7lvSFd4g3IIDI45FIfMEF+BhGC8OHD8fp06exe/dueJtFyDZt2hSrVq1yY8teUoQweTHbqlPwxReOFausyrBhdF6sibQ6HdmQvPVW+rcro9KpE5A/v+0iXkajNu9vJl0pW5buCW0F4EsSfaxNmzre1syZQKlSlHSxfTtpRe+9R69duWJ7PXM9yB5al8voHDtGl49evSgwZNky+j8lySkaS/8yDGOLuXOBTz6hCGy9nixGBgyg+wCdzjRoXrWKClAuXw506eL8fi5fTh5oYIs8eZzfPsMwDMNkZS5cIHvTK1eovxaCfLVlmQYuan997BjQowewfr2pBhgAxN+Lx+nXTsPw1ICAGgEov6Y8ZE/rI6Hff3fcHkUhoT2r4VfRD8ZYIxLDEhF5JBJB9YOg87VTrZthGKxfvx6//PILateuDclMSCxfvjyucQpn+nPqFA2+7BEZScUV3347XZqUoahWDfj1Vyo0lZBAnagkkf95SAiwbRvbm5jj7U1KZ9OmwINHACQAApD/7Rtnz6biXEyGY8YMqlGakGAZDKEK4XPn2p7LUNm2jYIrzFED/x8+BJo1owAMT8/k6zZoQAXQHzywvf1cucj2PrPz8CH9RKKi6Pm/Ll8AgBcvXN8uR3ozTAr4+Wfy4I6NpcFz4r8BTWpAgPmF0WCgi1uPHtrTVMwJD9e2XL58QJkyzm+fYRiGYbIqDx/SoEXVjgwGUx+tKJb9tToQWbfOZNua+CIRZ1qcQfztePiU8kHFTRWh97cdO6K1z+7WzckDyQRIsoSA6gHQB+qhxCuIOBwBJZErLDGMPcLCwpDbyixYdHS0hQjOpBNaIo0kSXtEUlbkjTfIy+u776j4VLduwOrVNFlQooS7W5fxKFeOlM05c4BaNYEqVYFPh9GNSd++7m4dY4Pq1ckvu0EDy9crVyYxu3Vrx9uYONF+kP/t23TPaQ29Hvj+e/vbnzQJ8PBw3I6Mzpw5NJdoLdMyJYU6OdKbYVxEUShCzFmEAL7+mqLBy5Wzb4dmTtGiNKPo6AfPfSbDMAzDWDJzJkWJWLuRtoUQNNCoX8MIfHYO0eei4ZnPE6FbQ+GZy0o4jhllywL379vfX+HCQOnS2tuTmZD1MgJqBSB8bziMUUZEHo1EYO1ASDKLdwxjjerVq2PTpk0YMGAAAPwndM+fPx916tRxZ9NeTgoVcryMENqWy8pkz05Vmxlt+PmRUXG+fysftsoB6LhfzOhUrQrs2kXFx+/coSy9UqW0rZuYSOvackkCSBDfvJlccKzRtSttZ/Bg4Plzmm8TAsiWje5Te/Vy9ogyJmvWpEzctgWL3gzjIseP04XPWYxGYP58euTJQ/ZdQ4Y4LtacOzelZW/YYJnqYU5AABW7ZBiGYRjGxPLlzgneKg/vK9jS4CIaIBzxHjoUXhYKnyI+Dtf78EOKALLHjBnOtyczofPWIbBWIML3hyPxaSKiTkchoEqAu5vFMBmScePGoWXLlrhw4QIMBgOmTZuGCxcu4MCBA9izZ4+7m/fyUa4cWXicPGlbhcmZk4oPMgzzUlC4MD2cwWi0L3gD9H6Cg9rfPXsCnTuTOH7/PmX3t2yZtVyE0qpEAtubMIyLPH+e8m08egR8+ilZpDi6GAJU+CB79uTR4bJMM4QrVlj3gmIYhmGYlxnXvAAFBuMfNMATJEDCCKUiXuntj0ePHK/Zti3ZvFpzJZAkygLXkhKb2dEH6hFQPQCQgPi78Yi+FO3uJjFMhqR+/fo4deoUDAYDKlasiG3btiF37tw4ePAgqlWr5u7mvZxMm0YDrKSRSeqF/ccfeeDFMIxdvL3JetaeS5UQQI0ajrfl5QW0bw989BEFQ2YlwRugiHqtLgjOwKI3w7iIs7N89pg/HzhwwPp7T54ACxeS4H3yJC3XubPlBaF+feCvv4DXX0+9NjEMwzBMVqFIEccZVUnpjZtogwcwAvga5XDSmA337wNffWV9eYMB+OMPYPJkYMECYMoUYPx4IG9e0zL585P96eLF9gdAWQnPXJ7wD/UHAMT+E4u423FubhHDZEyKFy+OefPm4ciRI7hw4QKWL1+OihUrurtZLy/16pEvQaVKlq8XLQqsXQt06eKedjEMk6kYNMh2gKMkkXjds2f6tikj8tFHth0NUgLbmzCMk0RGUjGC2bNTb5t6PTBvHt1bqSgKWZX88AN5OOl0lB6TKxeJ5DNmUGpLcLDlgJphGIZhGOLXX6nPPnXKufXa4x56gDzMpqIU9iMXAOqHFy8mYds8wmbHDipU/eAB9deKQn8/+gi4cYM8ICWJtBJbxYyyMt4h3jDGGBH7TyyizkRB9pEd+qIzTFYnOjoafn5+abY8kwrUqwecOAGcPUvV5nLlopDMl2XWkmGYFNO3L7B7N/DLL5Y12tQgxlWrKJv/ZadRI/ItnzLF8jxpqWtnD470ZjI9iYlUUXfLFhpYpiURERRVPWEC8PSp7eXU+yCtUWUGA3DliuVrw4fTQD0xkZ6rXqRPnlA6y/HjVCiLBW+GYRgms3DpEvkRHjqUNsVqzPnqKyoKpFXwVvvuV/AYA/APAGARiuAP5LdYLjaW+mKVQ4fIV1G1PVH9Gw0GYPp04JNPgJIlgRIlXk7BW8WvjB+8CngBAog8FglDRBqE8zBMJqJEiRKYMGECHjx4YHMZIQS2b9+Oli1b4scff0zH1jEWVKxInlQ1a7LgzTCMU+h0wM8/A0uWkIWHlxcQGAi88w5w7BhZ4jF0af3hB2DZMrrkqlSoAMyZ4/p2OdKbybQIAcyaBXz9NfD4sen1pk3p9ZIltW/r1i3gp5+A33+nQWq9esDHH1P9EnPGjgXOn3dcDKtuXaB/fxpoHzxIA2J7xQkkCciRw/T84UOKIrOWBiMELf+//9G2GYZhGCajc+IE9auHDpleCwkh+4+uXbVvJzaWBg6LFlFfGRJCETRvvQV4eJiWO3kSGDOG/rcnrufJAwwYQH9/+w0wHn2OoU8uQgawAfmxFNa9zAIDTf+PGkV9s7X9CAHMnQt89hlQrJj248yq+Ff2hxKnIPFpIiIORyCoQRB03i/xTADzUrN7926MHDkSY8aMQaVKlVC9enXkz58f3t7eeP78OS5cuICDBw9Cr9djxIgR6Nevn7ubzDAMw7iALFNGYI8e7m5Jxkate9OtGxAdTffR/v4UfOpqF8iiN5Np+fZbGmgmZedOoHJlYOZMoHt3x1FVW7cC7dqR2K2K2dev04D6hx+AIUPotYQEGrg6ErzHj6cobYC8twGgVCngn39sryOEaVkAWLPGfmFLRSHh4OZN8illGIZhmIzKqVOUJZV08vf2bYpy2b6dJnqDg+1v5+lT4NVXKctcTXW8cYMsV2fNoowvNfN/zhxKG7XnDVilCnDkiCm9tFO1SBypcw46COxBTvyIkgCSR/TVrm0SvZ88IWsTe8gypa6OHGl/uZcBSZYQUCMA4fvCYYwyIvJwJALrBULWc/Ip8/JRunRprF27Frdv38bq1auxd+9eHDhwALGxsciZMyeqVKmCefPmoWXLltC9zGkiDMMwzEtHarl58R0mkym5f98UwZUURQFiYoDevUkQ3rXL9nYePSKrkIQESzFbHSQPHUr+SwD5dIaHO27b4sVAVJTp+YMHwNWrjtfz9zf9//SpthRoexYrDMMwDJMR+PTT5P2sOYsXk1XXl1/aj8ru1Qu4cIH+V5dT/x48SD6AKqdOOS6Gc/o0cOYM/R97LRZnWp6BLt6Ik8iGb1EWihXBG7CM8n7+3P4+ABK9ub82IXvICKwVCNlLhiHCgMhjkRCKnZl+hsnihISEYOjQoVi/fj1OnjyJS5cuYd++fZg+fTratGnDgjfDMAzDuAiL3kyGQFFogPr33yRoO2LFCvuR0Cr37gEtWpBXkjUWLADi4+1vq3Vr8tZ2FOGtcuUKraMuf/Wq47bKsqUwXqSI48G6JAGFCmlrE8MwDMOkFnfuAHv2kGDsqH+7c4cioR31oQkJwDffAF98Yf3969eBTZtsb8dopILQ3bqRDZm/v2PbVUUBGjYEzv2dgNPNTyPxUSJu6v0wChWQCNsik7n9bt68lrYqttrGWVmW6Hx1CKgZAEknITEsEdFno93dJIZhGIZhGCaLwaI343aWL6fiTlWqAK+8AhQsCLz+OnDtmu117tzRFgktBA02R4+2/v7OnY4LacXEUEpymzbk8e2oOKUQJN5v3kzPzSO47a1jvtybbwK+vraX1+noHOXO7XjbDMMwDJMaXLpEE8mFC1OF9UqVgNKlgdWrba9z755z+/juOyAsLPnre/dqm+xetYruJ8qU0bY/XZwBF9udQdy1OHgX9cb0AqGItuP+J0mWkd4BAVQsU2/HMFCnc863/GXBI5sHAqoFABIQdzsOMf/EuLtJDMMwDMMwTBaCRW/GrUyfTr7bN26YXhOCBONatciz2hq5cjkWq1WMRtqetRRkLQNogPZ15QoJ01r2q9NRdV6ARIGQEPvLy7Jl1V5/f0At0J40Uk2no/cnTdLWdoZhGIZJKVeukJf1jh2WfefVq0DHjpQ5ZY1cuZzbj9FIdS2SorW/NhopU2rxYpoYthft7QEFXxrPIdeLKOhzeiB0ayhadvNyOKneqZPl87FjgWzZbE/Gf/+9ZbFqxoRnHk/4lSfTxphLMYi/F+/mFjEMwzAMwzBZBRa9Gbfx7BkwbJj194xG8s+2lebctat2uxGABsvWRO9XX3UcuW3epv37qbillmVVmxZZBr76yvaykgQ0b24qnHn5Mr3epw9Fz5UoYblskyZUxLJ0aW3tZhiGYZiU8tlnVK8iad+ritEDB1rWs1ApXhyoWVN7X6vTUXHIpNSvr72tQlCW1vvv2862kiAwAhdRDS8QAx3yLgmFb0lffPQRRW9bE7B1OhLxw8OBceOAP/+k81G4MHD4MNCypaXIXqQIsHQpnRvGNj5FfeBTzAcAEHUqColPE93cIoZhGIZhGCYrwKI34zZ+/hlItDOuMRiAX34BIiKSv1e8OPDhh479OlU8PMgLtGpVGszmz0+FtVq0ADw9tW/HYAAqVACKFbO/nF5Pg2CVXr0o0kuvp4G/h4dpQO3jQwPn0aNJVChTBmjXjo77rbdIBD99mvxTb90Ctm7VnrbNMAzDMCklLAzYuNH+ZHNsrPUIbYDqYkiStr7WYCB/744dgeBgiqB+/XXq/1q10mZtBlBfe+sW9fXJBXeB/riKVxGGREj4Rl8eBV4NAED3Bzt3Anny0JIeHibPbm9v4PFj6q9Hj6b6HUWLkuBdrBjw++8mv/MTJ8imrXt3be192fEt5wvPfJ4QikDE0QgYohwUNmEYhmEYhmEYB7DozbiNmzfte2ACNPh9+ND6e9OnA0OHOi4gpddTWvHAgVQsMyqKilBNmQI0bUqDcQ8P5wT0Dz+0H7VmMFCktjlDh5K36XffAR98QNvw9qZCmuo6qnXKpk1kdyIEtSs0lIptceFKhmEYJr25e9exvYheb2lVZk6jRiQI58/veF9eXmQXsm4d8OIFRVVv2UL9dZUq2rOcJIn66549k7e9K27jDZDZ+CS5DMp0yw4fH9P7VarQPcqaNcDHHwP9+9OEd2wsva8opmLT9+8DjRubsrQKFKD+ukoV7dHtDCBJEgKqBEAfrIdIFIg8HAklXqOPHcNkEfbu3Ytu3bqhTp06uPdvQYRly5Zh3759bm4ZwzAMw2RO+HaccRs5cmjzxw4Otv66TkcC8sOHQJcutpfx9AQePaLn5gNfo5EE8O++A86eBd57z3Fb/P3Ja7xfP6BUKesRZ7JMUWlNmiR/L3duYMgQ8uuOjqZBs7XIOaORIsV273bcprTAYAD++MP0/OpV97SDYRiGcT9a/KiNRiBnTtvvt2xJkddz5pCwnXSiWX1uPhGsov7/7bfAtGnA7NmOi0QbDLTPkBBgxAjT663wAH1B6vwMqQSOB+XBl18mX9/Dg4pKT5lCEd3nzlm/ZzEaKTLdnXU2zp2j/Y8dSzVMtNY8yWhIOgmBNQOh89PBGGNExJEICKNGM3eGyeSsXbsWzZs3h4+PD06ePIn4fy+G4eHhGDdunJtbxzAMwzCZExa9GbfRubP9gZlOR5FdjopgZc9OVikLF1pGQksS8NprFH1mK0LNaKQItkuXgLlzqU22UqcliaLFfX3JImXvXuCNNywjuby9aZnVq+1HjgsBrFxpOahPil5Py6Q3f/9NIkHnzqbXKlcmqxVrfq0MwzBM1iYkhIpY2otcliTg7bftb0enI5/tY8eopoY5xYub+mxb6PXAvHk08bxqlf39FCliKhA9dixZjL3m9wRDQCHZKxCCJw0L4uBBsiixx6pV9ttlMFB/rbXYZmrx/DnZtFWsCIwcSfVDWrUiq5Vjx9K3LamF7CkjsFYgZE8ZhhcGRJ6IhEjvE8swbmDs2LGYPXs25s2bBw+zNNZ69erhxIkTbmwZwzAMw2ReWPRm3EbRojT4tSYOq96fX3+tfXu9e1Nq9dGj5Md5+zZFaFnzBDfHw4P8OAEaTKvFslTxWx3odupkWZAyZ07g11/Jv3PjRvLlfviQ9unlZbkPg4Henz4dWL6c/FHj4uy3y2i0XnzTFkeOkHd4xYoUjT5xovViYPY4e5aKaqqR8easX09Rbzz2ZBiGeflQAw1t9dmffALkzattWxUqAH/9RX32zp3AyZPAlStkPWZvMthgoILSAEVfT55M+1b7a1WUz5cP2LbNZH8mScB7tcMx0ngBOgAJTfJi2KWi2L3bul3KhQsUTT57Nv3//Lnj4tmxsfbbbs6jRxS1XqMG2Ze9+y55gDuD0UiR7Dt2mJ6r+797lyxXrl93bpsZBZ2fDgE1AiDJEhIeJiD6fLS7m8Qwac7ly5fRsGHDZK8HBQXhxYsX6d8ghmEYhskCOHBUZpi0ZcYMio6eOZMGbLJMf/PmBRYvBurUcW57Oh1Qvbrp+bVrjtcRwiRs+/vTQHzrVmDZMhqYFi5M/tz161sf7OfPb9+ndPNmGtA+eEDHpyja/MN1OscFM1VGj6YJAr3eNOg9doyE7x07qICnFsaPN3mLJ414NxpJRDh4EKhbV9v2GIZhmKzBq6/S5Oe779LErU5H/YKHB9l2ffut89ssUoQeKo5qdACWEdeDB5P4PWcOFXz29QXat6dMJV9f03LR56Nxts1ZiDgFOdrkQPl1pSDrk3fEDx8C77xDQrzaTwtBfbejCd+8ebW1/9AhmlyOijJlu128SNlqEyYAn3/ueBsA+ZyrE/ZJMRpJhJ88me6zMiMe2T3gX8UfkccjEXcjDjpfHXyK+ThekWEyKXnz5sXVq1dRxPyiCGDfvn0opnVAwDAMwzCMBSx6MynGaCT/52XLgMePKYL73XeBBg0ci7t6PTB1Kvlt/v47RWWXKkXpuo6KXGqhaFESrW/dsr2MwUADUBWdjtKDW7VK+f737CF/b3Vgq/7VEi1tMNB5dMTataaIePMoM0Wh89miBR2/j4OxosFARbu0WK6w6M0wDJM5UaOYT5+mid4OHYCuXS1FYlu8/joVZP7zT5pUzpYNaNdOm+e3Flq1onbZiqrW64E2bSxfK1UK+OEH29uMux2H081Pw/DCgMA6gSj3SznI+uSJjtHRwCuvmKKjzftpRx7ZOh0VqHZERARFZ5sL3oCp3x0+nCK/W7Z0vK1Vq0wTD9YwGCizLLOK3gDgld8LSqyC6AvRiD4fDdlHhlc+L8crMkwmpG/fvhg0aBAWLlwISZJw//59HDx4EMOGDcOoUaPc3TyGYRiGyZSw6M2kiPBwGpwdPGgafB08CCxdSoPoJUu0idd58mgrJOkssgx89hnw8cfW39frya/a2YhyrYwYQQNnVyxBmjZ17DMKkE+pGkGeFKORIvJ++YWsT+wREwMkJtpfRgiAMywZhmEyJ+PHk/ezmhUkSSRgf/UVsGsXUKKE4214eJDQnRb060cCdlxc8n5TnUS31Z9bI/FpIs40P4OEewnwLeuLin9UhM7XeuGOpUuBf/5xrb8ODKS6F45Yvpzum2ztQ6ej49ciej975thyJTKS9qUluyyj4lPcB8YYI+JuxiHqRBTkujI8gjWE1DNMJmP48OFQFAVNmjRBTEwMGjZsCC8vLwwbNgwDBgxwd/MYhmEYJlPCnt5Miujdm7ykAdPgS41YWrkS+OYb97QLoEHzoUPkcd2vH72mCvCq72fx4sCGDWkzILx1iyYAHEWI2WLHDvINz5ULqFQJ+PHH5IUkExLoGB0VBN250/H+/P2B4GDHy3GGJcMwTObjt99I8AZM/bQqvj54QFlBWj2pUxshyOLj2jWKQvfxsSyaqdNR//3rr0DZstq2aYw24kzrM4i5FAOvgl4I3RoKj+y2xdIlS1xvf3g4UKUK9dkhIUD//sDly8mXM7dNsdpmI7B7tzbhvUQJx0EFISGZW/BW8avgB888nhCKQOSRSBijHaj9DJPJMBqN2Lt3Lz7++GM8e/YM586dw6FDhxAWFoZv3DmYYhiGYZhMDovejMtcu0b+nrYijYQApk0jX8n0xGgku498+SiCu2FD8gdv356iz+vVoxTq5cspjdqeH3dKcLaIpDUiImg7Z89SkbAaNShy+/p1GlTnzq1tO1oG0LJMkwNJvbzNURTyN2cYhmEyFxMnWgrJ5hiN1Kdv2pS+bQKA7dsp46pcOaBRI6BnT6B8eSp0/eqr1If/73/U73XooG2bSqKC8x3PI/JwJPTBeoRuDYV3IW+76zx+7HqhZkWhTKmnT6m49Zw5NOG+adP/27vv8CjKro/j39nd9EbvHURaAlJVVCwoir2hoigqVlCxIVgerGBvPPrYsaGiYsWCXbHRe6+C9JrednfeP+43CUuSzSYkmZTf57r2MpmdcnYAz86Ze85tbsA/95yZMHPatJJvhIcaw4gRwW9SuFyhtVypDizLIrZnLJ4ED/4cPymzUvDnlHFEgUgV5Ha7OeWUU9i3bx/h4eF06dKFvn37Ehsb63RoIiIi1Zram0iZ/fBDyeskJ5sJFY89tuLjAXOxeOWVpqB94IVjdrbpGd69O8ycGVrv0kPVvLkZYVXWi+gD5e1j7Vo4/3xYsMBcSIcyKs/vN5NwhmLMGHNRvmFD0e8/+KDpkS4iItVHamrBU1nF8XjM5IgV1bqkKNOnm+MdnCfnzYPFi82o5yOPLN0+bdtm1YhV7P16L64oF4lfJRLTJabE7dq2NU9olfXprAPltY654ALTo3vOnNC2c7vN5w1ldHZiItx+e9H9zN1u8/6oUaWLuypzeVzE9Y0j+fdkfOk+UuekEn9UPJarBgxlFwG6devG+vXraRtKb0MREREJiUZ6S5mF+hh0ZT4uPXOmmVCzqEKzz2eKxa++WjmxNGliRpQHGzldWl6v+YwZGaGdV5fL9Bq99NLQ9l+3Lvz5J1x+OUQcMFdU27bwxhtw771li1tERJxTFfO1z2dGIhc170XeyOnS9O/Os37sena8vQPc0OXDLiQclRDSdtdcUz4F7zy2bW64z5kT+twePh/cemvox3jiCTNRZYsWBcuiosx5/fVXiCm51l+tuCPdxPeLxwqzyN2bS9qCNOzyGFkgUgU8/PDD3HHHHUyfPp1t27aRkpIS8BIREZHSU9Fbyqxv35Iv4sLCzCinyvLGGyX3uHz55cqJBeDxx82o8vIsfENoF+ZuN0RGwhdfmH7doWrQAF5/PXC096JFZgS9iIhUP3XqmJuXwUYQe70mr1eWH3+ELVuK/x7h98P8+bB0aej73Pz0ZjY/vhmAw187nAZnNAh52wsugBNPLL4FTFmEWuzO+94yZgycd17o+7csc2Ng40bTBm3ePNOm5b//NTe8ayJPnIe43nFYLovsrdlkrMxwOiSRcjF48GAWLVrEWWedRYsWLahbty5169alTp061A1l0h0REREpRO1NpMx694aePc0jyEWNDnO7zQjj+vUrLgbbht9/hw8+gH37zM/BRqrZdvGtOypCly5m5PRNN5nHtCtL8+amf/nIkWVvR3LgBXN5FgFERKRyWZaZF2L06KLfd7nMzdGhQys2jn//NTenV60yP4diwwbo1q3k9XZM2cG629cB0O7RdjQd3rRUsXk8pt3K2LHm5nh2dqk2L7OYGDjpJPM9YeDAsu3D7Q7tHNUU4Q3CiekeQ9qCNDLXZuKOdhPZOnjPdpGq7ueff3Y6BBERkRpHRW8pM8uCqVNNv+jduwsmtMwbSda1KzzzTNHb7tgBkyebkUnR0WaSyVNPLd2I6LQ0M6nVDz+Yi1XbDm0EdFYW/PabmRyrNPz+shV/u3WDn36Cww4zE3FVxpO4XbqYi+hWrSr+WCIiUvWNHGly37RpJpfl5UuPx7w+/bTodhi5uWbS6m++gZwcc8P7iitMO6zSeP5507ojlH7VB3rvPTjzzODr7P1uLyuHrwSgxegWNL+jZekO8v+iosykk3XqwEMPVU6+rl/fFLsrc5R9TRDZIhJ/hp+MVRmkLUnDFeUivFG402GJlNmAAQOcDkFERKTG0fhNOSQdOpjWF+PGmZ6SUVHQsaOZWOnPP82F48EmT4aWLeGee0zR/M034Ywz4IgjYNu20I99xRWQNyjC6zVF91AvUC+/vOCCPy3N9Pm+7joz0urrrwsK+MuWmbYeeS1K2rc3ny0rK/Q48/azbt2hX0CHWnT/+WdzE+Giiyq3R6uIiFRNbrfJuW+/bQrXMTGmndWIEWa+ixNPLLzNmjUmpw8ZYubL+OADuO028zTRF1+EfuxPP4VbbjF51+creIXigw/g77/Nz7Zt8tvo0XDttTBpEmz9KYWl5y3F9trsSmrESR+3x+OxiIszva3Xrg09zjwffVQ++TqUnL1pkzk3nTrB6tWHdszaJrpjNBEtI8CG1LmpeJP1hUeqt/379/PUU08xYsQIRowYwTPPPENycrLTYYmIiFRbll2LZoBJSUkhISGB5ORk4mtqs8Mq7scf4eSTi76Y9HjMCOUFC0q+UFy1ylwgHorvvzcX4BdcYArfeaPMvV7o3Bn+8x8YPtxcmB9YOLYsOOoos310dGjHmjmz9CPLi3L00ebc/PVXaAUDy4L77oMHHij9sXJycpg4cSIA48aNIzxcI6hESqI8Uz50Hp2XmQmHHw5btxbON5ZlcuacOdCjR8n76tnT3CAvy0SRHg9cdpmZI+OMM2D27IIe2E29GUxiAQnksjK2LrekJ5JjuwK2jYw03z1KM5K6aVPYvr30sR4oLs7cSJ8wIbT13W7Tjmz16vKfB6Qms/02KbNTyN2ViyvCRcKxCbijdAKlZFUtz8ydO5dBgwYRFRVF3///H9acOXPIzMzku+++o2fPng5HWLSqdh5FqjrbZ7Pn6z0A1B9cH8tdykfgRGqhQ8k11WKk98aNG7n66qtp27YtUVFRtG/fnvHjx5OTk+N0aFJKEyYUX9D2ek1/8O+/L3k/06cfWp9pyzItR848E9LTTRHe6y0obq9ebfqR5+YWHilt22bU2SOPhH68kiYQC0X37qYv+Kefmp+h5HNg2+ZR7dKOTBcRKSvl7Jph6lTYvLnoG6x5N66ffrrk/WzbZm5ml6XgDSYHL10Kp59uJmrMW5bgzeZxFpmCN3Hckd41oOCdt15mJlx4Yegjy8G0IzvUuSzmzIGHH4Z77zW/l1TI9vlMC7Svvjq049Y2lssirlccnngP/mw/KbNS8OeW8S+biINuvfVWzjrrLDZu3Mgnn3zCJ598woYNGzjjjDMYXdyEDIdI+VpERGq6alH0XrlyJX6/n5dffplly5bxzDPP8NJLL3H33Xc7HZqUQkaGKTQHu/D0eODzz0veV2bmoV2Q2rYZfe33F30h7vMV/x6Y5f/7n+lvGooWLWDQoLKP3rIs8zh5WJh5HH3WLNNjNa/4HUxyshlhJyJSGZSza4YvvgieZ71ecxO2JJmZhxaHZZmcO2dOwfeHGHJ5jMU0IZvNRDGORNLtoqep8flMC5EZM0I/5nXXlb1In6dpUxP7Qw+ZFmdXXVXyNh6PGZUupeMKcxHXNw5XpAtfqo/UuanY/lrzIKvUEHPnzuWuu+7C4yn4f5nH42HMmDHMnTu3Qo6pfC0iIjVdtSh6n3rqqUyePJlTTjmFdu3acdZZZ3HHHXfwySefOB2ahMjngy+/DG3dUEYld+9+aL2qw8LMyLND2ce+ffDvv6Gv//TTEBtb9sL3KacU/OzxwNlnm0e+Qyn+l2aEm4jIoVDOrv5WrIDly0su/GZnl7yv5s0hIaHssdg2xMcXtDQJw8cjLKU96ewhnDEksZ/g7bc8Hpg/P/RjXnSRacVWlpvrLpdp53Lgk5ddusCDD5a8rWUpX5eVO8pNfN94LI9F7u5c0hanOR2SSKnEx8ezadOmQss3b95MXFxchRxT+VpERGq6alH0LkpycjL16tULuk52djYpKSkBL6l8v/9u+lRefHHJ6/p8kJRU8nqnnQbNmhV/QVpSK5GTTw7tYr0kERGBvycnm3Yi/fpBkybmQr9xYzjnHNiyxYzQPu200rU6cbnMxfMVVxR+7+ijSy5KREeHdk5FRCpKSTlb+bpq2L/ftBHp0sXMnRGMywXdupW8z4gIM+lkWW/4RkWZfArgwuZeVtCdZNJwcxeJbCeqxH34/YXztd8P33wD555rvqPUqQP16kGvXvDKK2YCzTFjAovXofD7zXYHa9TIHCeY3Fzo3790x5MCngQPcb3iwILszdlkrM5wOiSRkF100UVcffXVTJ06lc2bN7N582Y++OADRowYwSWXXFJpcShfi4hITVIti95r165l0qRJXHfddUHXmzhxIgkJCfmvli1bVlKENY9tm0mdtm0r3SO/y5aZAvO2bSWva1kQHg6XX17yuh6P6TcaHl4w+iuP220uUoMVln/9FTp0KPk4xXG5IDHRFN7zLF1q+oCOHm0m2tqxA1JSYOdOM8r95JPhtdfMI+Nbt5p1Fi6E6683E20Vd5zYWHNhXqdO4ff79YMjjih8DvK43TBihNmHiIgTQsnZytflKyXF9OMuzXwOfr8peIfaBsTvNxM1huK++8wTWgffqPZ4Si6G57Uz83ltRrOa49hNDhb30o11hDb6Me+z5cnJMTejBw82rcI2bTI3rfftMyPCR42CY4+F2283333mzzdPh738cvGF67w8/J//mJHiB3O5zPeD4r6buN2mMH7++SF9JClGeKNwYhPNl56MVRlkbdakJlI9PPnkk5x33nlcfvnltGnThjZt2jB8+HAuuOACHnvssUqJQflaRERqGkeL3mPHjsWyrKCvlStXBmyzZcsWTj31VC688EKuueaaoPsfN24cycnJ+a/NmzdX5MepkWwbXn0VDj/c9Kds1gzatTOjmUMpfk+YYFqIlLSu220uBN9+24y0CsUxx8DcuWYEeViYWVa/Ptx6q7nQt4O0c8zIMBe3JSnuYtzvh7vvLrh4zc42Pbv37Cl+fYAnn4SPPzaj1vr0MUWA//3PFMj/+su8d9NN0LevueCeOBHWrYOjjip6v5ZltmnUKLCYkPfzUUeZfYiIHKqKzNnK1+Vj3jwzQXPdutCqlfnvddeZG60l+fZb+PPPkttrWJZ5XXBBaDepAeLi4Lff4P77C0Ztu91mlPXAgcXfuM1b76+/4HI2cibb8AOP0IVF1A2IKdj2p51mRq/nufvu4BNG2raZ0Prqq81I8yOOgB49zIj19evNDevvvjP59YQTTM6+8kpz/h94oPj93nRTQUH8wO8XbjfExJgb5OHBO7VICCJbRxLVwTwBkLYojZzdmpRPqr7w8HCee+459u3bx8KFC1m4cCF79+7lmWeeIeLgR1VKoHwtIiJiWLYdrDRYsXbt2sWe4qqE/69du3aE//8VwNatWzn++OM58sgjefPNN3GVstliSkoKCQkJJCcnE1/a51VrIds2F2gvvGAuKA/8m2JZcMkl8M47xbcY8XpNa43c3ODHsSxzkX7XXaZdR1n4fKbQHR0Na9aYIn0wLlfJhfjx480IsEWLzAW512suTP1+ePhhc9Gc5/33YejQkuN0uczo7D//LHnd0tizx4xAe+st83O7dqbQMWxY2S+gc3JymPj/FfNx48bl/zsUkeLV5DxTmTm7Jp/HivLTT6a46/MFFq49HmjY0LTXCjYgb9gwk8tKKnp37Ai33GJyTFlalti2ufEcEWFi694dFi8Ovs1ZbOFW1gDwNIfxJc0D3u/ZE44/3sydkZev8/579NGmwJ33tFRqqmk7FsoEm5Zlbjy3bVv6z1kcvx8++cR8t1q61DyJddFFMHJk8D8fKR3btklbkEb2lmwsj0XCMQl44oLcXZFap6rlmeTkZHw+X6HWInv37sXj8ZQqRuVrkarL9tns+dr8+6w/uD6WuxR9T0VqqUPJNY5++2vYsCENGzYMad0tW7Zwwgkn0KtXLyZPnlzqgreU3syZ5qIMCo+atm147z0z0uvcc4vePiOj5IK3y2Uu9t5779BizRslBWZEWUlCGaV++eXmkeyvvoKPPjIXyp06mXYhB7ZGsW3TsiTvAruk4/79t/lvef4Vrl/fFOE12bqIVBTl7KrL5zNF66KerPJ6Ydcu8xTUxx8Xv4+9e0Mb5b1ixaHlL8sqyNdg5r44+Mb6gY5jJ7f8f8H7TVoXKnhbFpx1lrlRffXVpo3Y+vWmyH3JJYUnpPzll9AK3mBi+vPP8i16u1zmu9MFF5TfPqUwy7KI7RGLP9NP7t5cUmalkHBMAu7IMjaXF6lgF198MWeeeSY33nhjwPIPP/yQL774gq+//jrkfSlfi4iIGNUiq23ZsoXjjz+eVq1a8eSTT7Jr1y62b9/O9u3bnQ6tRvvf/0p+5PjFF4t/PzbWPFodjGUdWm/tojRtakZTH+p3tksvhT/+MKPQ33nHjPp+9NHAeD/6yDz2/MEHJRe885RmEksRkepGObvyffutaWFS3A1dr9fksB07it9H+/bBcz6YlinlXQ8JNsl1d/ZxDytwAV/QlLdoU2gd2zYt115/Hdq0MaO9P/sM3nzTtB3Li3f1anOsc84pXXzK2dWX5bKI6xuHO9aNP9NP6uxU/N5STEwjUolmzZrFCSecUGj58ccfz6xZsyrkmMrXIiJS01WLovf333/P2rVr+fHHH2nRogVNmzbNf0nFWbIkeCHX5zMTVRbH5TL9L4M9/uz3w1VXlT3G4jzwQPGjxkK9YJ89GwYMMJ+hqELCE0/AkCHmPIXK7Ta9yDWIQkRqKuXsyrd8ecmtRnw+WLu2+PdHjAie810uM/FyeRs2DFq0KJwX25PKIywlHJvfaMBzdASKrkDv22fiT0w0E3gebMkSM4/Gxx+XbjJuyzLza0j15QpzEd8vHle4C2+yl7R5aTjY2VGkWNnZ2XiL+J9wbm4umaE+nlJKytciIlLTVYvS2/Dhw7Ftu8iXVJxQWuXExgZ/f8wYM/KquNFj48dDcrIpfDdpAg0amFFYP/1U2mgDhYcX38u6d++SR7NBwYXxa6+ZUWQHWr/e9CA/cL1Q+Hxwxx2hry8iUt0oZ1e+2NjQclGwnJ2UBKNHF/2e2w3dupknoB591MybUa+emdzxxRdDbxdSFK/XPBV2YPxNyOQxlhCDj43xCUx0dcZfTMH7QJs2mVYnB/9VGzEC0tJKbt9yILcbLrxQfbZrAne0m7i+cVhui5ydOaQvSXc6JJFC+vbtyyuvvFJo+UsvvUSvXr0q5JjK1yIiUtNVi6K3OGPIkOCP9brdwR9LBnNR/NdfcNllEBZWsLx1a3j1VTjsMDMB1TvvmMeu9+wxPbRPOgkefDBwXytXwm23mf6c550Hb79tJq882JYtcMYZxfcTX7gQzj67dBNwPflk4MXyq6+Gvi0UnMeHHjLtUkRERMrLWWeV3IajTRszEjqYp582N3kPHOQXGQnXXGPm3jjmGLjnHtMqZN8+MwHlqFFmeXJywTYpKWZOkDPOgFNPhf/8p+gR2GAK6Qc+NVaHHJ5gMfXJYR0xzD67G1n+0BK212ty/G+/FSxbutQ8uVWaG9RgvpsUUX+SaiqsbhixPc1dn6x/sshYm+FwRCKBHn74YV577TWOO+44HnjgAR544AGOO+443njjDSZMmOB0eCIiItWSit5SrOHDoXHjoovDbreZMDKUR50bNoTJk01Re9Ysc5G8fj0MHAhXXGEuRA98mi/v5/Hj4YcfzM+PPw6dO8Pzz5tln39utu3SBTZuDDzeyy9DdnbxF7h+v4kpb9BEKP06t26F664zk1Datun1HcogiNhY89j25Zebi+577y15GxERkdJo3txM4hisddb995fcWsuy4OabTYF64UKTs3fsMHN83HBD4b7htm1eixYVjBKfPx/atYObboKvv4YZM2DCBLNsypTA461YAd98U3BTOQovE1lCCzLZRiR3kcRH34Tx0EPm/VBuVrtccOed8O675sb48uUlbwPm6bCGDeG448y2v/9uJtmUmiOiSQQxXc0sqhkrMsjemu1wRCIF+vfvz19//UXLli358MMP+fLLL+nQoQOLFy/mWPVZEhERKZMQmjxIbVWnDvz8M5x+uilS543Uzs01xfDp06FZs9D3V7cu9O1b8PvLLwcvHLvdZsRZSkpBK5G8C+O8i+7Nm80osi+/NI9Yf/ihuUAP9giz12suwpcvNxfg48eb0eElefNNM1HWCSeYR6hLYlkmdk2CJSIiFe2//zVtRt5917TwsiyTC10umDjR3CgOldsN3bsX/L5kCcycWfz6Pl9BPj3lFNi/PzC/5+Xkyy83k2EuWWJGUa9aVbCOBz8PsIxOpLKfMMaQxB4iYDecdprJvRMmmEJ6MH4/zJtneoWPHg3nnhvaZ378cbjlltDWleorql0U/kw/meszSVuQhivSRVi9sJI3FKkEPXr0YMrBdwdFRESkzFT0lqA6dTKPMX/1lemzbdvmMeZzzglsV1IWM2cGL077fGak1Y4d5qK9qJHbXq+5aO7WrfCI8WByc80j21dfbUZin3pqydvkxfrbbxARUfL6LpcK3iIiUjnCw02rsLvvhvffN+3C2rY1xd/GjQ9t33/9VfI6ublmgue9e4NPJH3OOaY1ChSsZ2EzlpX0YR+ZuBhLIv8SHbDv/v3hs89M65U9e4LHkvd9Yd8+eOutkmOH0t3El+otuks0vgwfOdtzSJmdQsIxCXhidUkkzpo/fz5hYWEk/n8fqs8//5zJkyfTpUsX7r//fsKLm6xIREREiqX2JlIit9v0C332WTPy+sILD73gnbffkqSnw5w5JffizMkJveDtdsPRRxf8fvLJ0L596D2+fT7ICKEVZL16oe1PRESkvHTubObEeOEFM3HyoRa8IfT8+NprwZ/g8noLiuIF69ncyFpOYideLP5DN1ZRMJN2ZKT5TGC+e9x0U8ltWvL4/aFPXtmiRWjrSfVnWRZxPePw1PFg59qkzkrFn1PKpu8i5ey6665j9erVAKxfv56LLrqI6OhoPvroI8aMGeNwdCIiItWTit7imEGDSr5wLW4yykPh85mJt/K4XGb0WEJC6Bf2oYzg7tixTOGJiIhUKSeeGFrey8kp/b4vZjMXYHqMPUYn5hJ4x/j88wN7a48bZ1qoQGjF71AmsHS7oU+fUCOWmsByW8T3jccd7caX4SNldgq2L4TJWkQqyOrVq+nRowcAH330EQMGDOC9997jzTffZNq0ac4GJyIiUk2p6C2OGTHCjOAKdcRWeWraNPD3bt1g6VJzMe0J4QnXUCaxPLBXqYiISHXVti2cfXboN4ZDdSrbuI71ALxAe36g8LD0unUDfw8PN/N4vPVW+Y3O9vnMBNVSu7giXMT1i8MKs/Du85K6IBU7lC94IhXAtm38/3+X7ocffmDw4MEAtGzZkt27dzsZmoiISLWlorc4plEjMxmmE4XvCy4ovKxpU3joofLrw717d+iPVYuIiFRlkyfDEUeYn/OK34eSu49kN3dg7g6/T0s+pmWR6/3vf/Dvv4HLPB4zKebAgeWXs0OZoFpqHk+sh/i+8Vgui5xtOWQsD6F/nUgF6N27Nw8//DDvvPMOv/76K6effjoAGzZsoHF59KkSERGphVT0FkedcAKsWwcPPGD6bPfpU3hUV3E8ntBGZRdl0SJTcC9KTEzoxw8mPr78R8WJiIg4oU4d+PNPmDrVtCfr2dP02g6l8J23Tt58IF1JZjzLcQPf0phXaFfstj4fDB1a9HuxseV307xhw/LZj1Q/YfXCiO0RC0Dm+kwyN2Q6HJHURs8++yzz589n1KhR3HPPPXTo0AGAjz/+mKMPnIxIREREQqaitziuSRO4917zaPHs2YVbjxTF5YLhw2HePGjdumzF5fHji15+0UUl7++ss4JPnOl2m/hERERqirAwGDIEvvrK5N/LLw9tpHX37vDRR3D77dCGdCawhEj8/E09nuRwIPhOfv+96CenLrig5CeqGjQo+XtFgwZw0knB15GaLaJ5BNGdowFIX5pO9vZshyOS2iYpKYklS5aQnJzM+AMuUp544gneeustByMTERGpvlT0lirntNOCF509HjMR5auvQlISfPutaZVS2kecV62CF16AI480F/LR0WbCrAEDTM/Q4vbXrJkZ6TZ4cNEjzNxuM+nWHXeULh4wvcIXLYIff4Q1a0q/vYiISGUZODC0ovOsWaZAfc81WTwftZh4vCwnngfoii+Er6K2Dc8/D1dcYUZ3ezyQmAjLl8MxxxT/ncGy4OOP4ckng+//8ccLRqGXxtat8NNP8PffwW+ES/UQ3SGayNaRAKTNTyN3fwXMpi5SSpGRkYSV5X9QIiIioqK3VD033miKycUVnf1+2LfPFL7fe89MsLVyJTzxROkK3+npZh+zZ5uL1cxM+OILuPRSuOUWqFfPrOfxFFxQJyWZi/fISHMhPWxY4Yvtbt3MqLSWRbcnLdaXX0KXLtCjhykkdOwI/fvD3Lml24+IiEhl6NkTjj02eLuvxES4+WZ44j+5LD51MXGZ2dgto5nUNJEsQn9M67bb4O23Te72+WDZMrjhBoiKMrkSTD7OiyU62uTpAQNMe5S33irI63nfFerUMTfQr7yydJ9782Y491wzkeZJJ8FRR5mfX3ghtImupeqKSYwhvFE4ts8mdXYqvgxNziIiIiJSXVl2LZqmPCUlhYSEBJKTk4mPj3c6HAniyy8LHlvOG0XmcpmCNxSMyMrNNX04v/zSXOz26VM+x3e7zQiy2bNhzhwz8vu000wP8oML61u3wnffQXa2KQD07l36UecffggXX2x+PvBfpNttPuvvv0OvXof2mUorJyeHiRMnAjBu3DjCw8MrNwCRakh5pnzoPFYfO3bAiSeanJmXp93ugtzt8UAkPh71LqIrKWTHh3Pc4p50HhDJP/8c+vEty4zUPvZY+OwzyMgwN58vvhji4gLXzcmBb76BLVtMy5PTTjM3sUtj+3aTj3fuLHp09333wYMPlvnjSBXg9/pJ+SMFb4oXd6ybhGMScIVpnFBNozxTPnQeRUrH9tns+XoPAPUH18dyl9OM3CI12KHkmjJOAyhSsc4800xw+corptVHbi6sWGFGY/t85vc8e/bAySfDtGnlG8Pbb8PDD8NllwVfr1mzQ+vfnZNjRrcXdfspr2hwyy2m8C0iIlKVNG5s+nt/9BFMmQJ798L+/bB2rclrfq+fcSynKymk4uHmlO6MmxFZ6mJzcfJan9x+O/TrF3zd8HA4++xDO94jjxRf8AbzveHqq818I1I9uTwu4vrFkTwzGV+aj9Q5qcQfGY/lUmFCREREpDrRsAWpslq0MKOl/vjDtBHJe6T5YH6/Gdn1/felbylSHJ/PjPKuDF9/bQr3wWL54w/1+BYRkaopMtLk6W+/NW3C1q/Pu5FrcwerOZo9ZOPibhLZSAwPPgjnnFO2SaiLsnmzKbZXNK8XJk8O3r/b5YI336z4WKRiuSPdxPeLx/JY5O7JJW1hGrXo4VgRERGRGkFFb6kWPvoo+Ps+n1nnnnvK53iWZUaEVYZ//il6QsyDbdpU8bGIiIgciunTC25Qj2ADp7EdH/AAXVhKAmDaixxzjCmWh5L/QlEZOXv/fnMDPhjLolzatojzPPEe4nrHgQXZW7LJWJXhdEhSQ23bto13332Xr7/+mpycnID30tPTeVA9k0RERMpERW+pFlJTS54cKi0Nrr22/ArfZ5xRPvspSYMGBb3KS1pPRESkKktPN4Xs8/mXSzF3a5/icP4iMInFxJiR4Qf33S4tl8tMJHmo+wlFXFzwSTvzKF/XHOENw4ntHgtA5ppMsjZlORyR1DRz5syhS5cujBw5kgsuuICuXbuybNmy/PfT0tJ44IEHHIxQRESk+lLRW6qFpKTgF5put5m4yrJMP83Vq80osrJwu6F+fbj00rJtX1pnnQVRUcW/b1nQqZM5ByIiIlVZly4wwL+DUawF4FXa8g1NA9axLDj8cJOnN282N6vLOuLb74exYw816tBERMCFFwZvy+L1Vt73B6kckS0jie4YDUDa4jRyduaUsIVI6O6++27OPfdc9u3bx44dOzj55JMZMGAACxYscDo0ERGRak9Fb6kWbrgheA9Nnw9Gjiz4/bDD4LffTAG8NJNlWRbUqwc//FA5o8bAHGf8+ODrPPaYiU1ERKQq6+nfy92sBGAazXmPVgHvu91msupmzczvcXEmV//2G7RpE/px3G6TF59+2tw8riz33mtaqRRV+Ha54OKLoXv3yotHKkf04dFEtIgAG1LnpeJNCfKlVKQU5s2bx9ixY3G5XMTFxfHiiy9yxx13cNJJJzFnzhynwxMREanWVPSWauHII+GOO8zPBxd/LctcZJ53XtHL33gjtMmyGjaEl182E3BV9gXrmDHw6KMFI77zRrzVrw8ffFC5F/QiIiJlkTI3heUXLMODza+uhrzk6gAUJG2Px+Ta558vvG1SErzwAvTsGdpN3htvNBM833pr+cUfii5d4OefoXVr83tevna7YcQITWJZk8V2jyWsQRi21yZlVgq+rCJmVxcpg6yswLY5Y8eO5e677+aUU07hzz//dCgqERGR6i+EzoQiVcPjj5sWJo8/DsuXm2Vt2sDo0TBqVOCj0evXw3XXmRHboXC7YfhwuOaacg46RJYFd91lLuK/+AJ27zYX1IMHV96EmiIiImWVsSaDJYOX4EvzUeekOpw9sTNLHrP49FPTgiQqCi6/HO67D5o3L9guN9csmzQJMkKcJ7BJE3j22fKbBLO0+vUzBfdffoFlyyA6Gk4/3cQlNZflsojrHUfyH8n4Un2kzkolvn88Lo/GEEnZdevWjT///JOkg/oY3nHHHfj9fi655BKHIhMREan+VPSWasOy4IorzEXz7t3mIrpRo8IjwrZsMZNa7dkT+r5t2xTJnRYXp16gIiJSvWRvy2bxoMXk7soltmcs3T7phifexccfm4kt9+83kztGRARuZ9smp0+dWvJk1XlcrsI3up3gcsGJJ5qX1B6uMBfx/eJJnpmMN8VL6txU4vvGY7nUg07K5vLLL+eXX37h+uuvL/TemDFjsG2bl156yYHIREREqj8NTZBqx7LM49GNGxf9CPTEibB3r+nzXZK8tifPPQft25dvnCIiIjWdN9nL4tMWk7Uhi8j2kSR9nYQnvmBMRUyMGdl9cMEb4O+/TQuv0hS8jzkGbr+9nIIXKQN3lJv4fvFYbovcXbmkL0l3OiSpxkaMGMG7775b7Pt33XUXGzZsqMSIREREag4VvaVKyM6G77+HTz4xjwqXlc8HkycHn/TyQAMGwLffmlFjIiIiUrJFi2DaNPjpWx+Lz15K+qJ0whqH0X1Gd8Ibh96Ta/Jk0+c7FC1bmrkvZswo3QTVIhXBk+AhrlccWJC1KYuMNSH25hE5SFZWFl988QWpqamF3ktJSeGLL74gOzvbgchERESqP7U3EUfZthll/eCDsG9fwfIjjzSTSh7U3q5Eqakl9wR1u+Gii8xkU2FhpQ5ZRESkVpozx7QCW7AAXNj8hxUMYD++SDe9vkkiqn1Uqfb3778l36R2uSAtzRS6Q5ngUqSyhDcOJ6ZbDOlL0slYmYErykVkC92RkdJ5+eWX+eKLLziriFnr4+Pjef7559m0aROjNEJHRESk1DTSWxz10ENw662BBW8wF9b9+8OKFaXbX2xsySPALAuaNVPBW0REJFQLF5qnoxYvBrC5mTUMYDc5WNyZ1Y1Xf44r9T6bNCl5pHeDBmYSTBW8pSqKahOVf7MnfVE6ObtzHI5IqpspU6YwevToYt8fPXo0b7/9duUFJCIiUoOo6C1ltm8fPPwwtGljLkhbtzZF7L17Q9t++3YzwrsoPh9kZcF//lO6mDweMxFksItorxeGDSvdfkVERKor24aPP4bjjjM9tuvUMXlw/vzQ9zFmDOTkmPx8Of9wNlvxAxPozALqcvfdZsLK0hg2LPhIb7cbrrqqdPsUqWzRnaOJaBaB7bdJnZuKNzXEHnsiwJo1a+jevXux7yclJbFmzZpKjEhERKTmUNFbymTbNujdG8aPh3/+MQXqTZvg/vuhVy/YsqXkfbz/fvDJq7xe+PTT0l9E3323GfGdN0nlgSwLLr+89G1TREREqiPbhhtugAsvhD//NC3AkpPNBJJ9+8JHH5W8j23bzLwbPh+cyVauZCMAz3MYv9IIMAXxUPZ1oOOPh8GDTQuTg3k8ZtLqW24p3T5FKptlWcQeEUtYvTDsXJuUWSn4s/1OhyXVhNfrZdeuXcW+v2vXLryhTlYkIiIiAVT0ljIZMcIUu/0Hfaf3+02PzlBGZm3ZUnRh+kA+H+zcWbrY2rWDmTMhMTFweXi4uXh+7bXS7U9ERKS6mjrVzJEBJqfm8XpNzr70UlPUDibv/WPYxS2sBuBtWvM5zfPX8XhCu+F9IMsyI9CvuqrwE1p9+8Iff5gWKCJVneWyiOsThzvGjT/TT8qsFGxfkJEdIv+va9eu/PDDD8W+/91339G1a9dKjEhERKTm0ESWUmobNsA33xQ/Stvrhe++g7VroUOH4vfTuHHgBXhRXC5ISIBZsyA7Gzp3NiO/8qxaZYrYa9eax7UvughOOQW6dTMTbc2bB0uWmPYrJ58M9eqV+uOKiIhUW889Z3LpwTepweRxr9fk0fvuK34fjRpBEvu5j+W4gek0ZTJtAtbxek2Bes0aU/xu3Njk7DwpKfDOO/Drr+a4xx1nnrxKSIBXXzXt0n780YwY79Wr8I1rkarOFe4ivl88yb8n4032kjovlbg+cVhqSC9BXHXVVdx222107dqVM844I+C9L7/8kkceeYSnn37aoehERESqNxW9pdTmzQveliTPK6/A448X//4ll8DYscW/73KZC+bERMh76s/jMY9oP/MM/Pe/5iLZ4zHFc7cb3nwTjjoKvvoK6tY1F869epXq44mIiNQYc+cWXfDOY9um6HzPPUW3GQGoszeNx9xLCPfZzKQBz3AYEFjIc7lM8fyGGwqWde8OTz1lJpg+/XRT+M6r/02bZo755ZdmgszGjWHo0EP7rCJOc8e4iesbR8qfKeTsyCF9aTqxibFOhyVV2LXXXstvv/3GWWedRadOnTj88MMBWLlyJatXr2bIkCFce+21DkcpIiJSPam9iZRasEkiD/Tss7BjR/Hvt2gBd95Z9Hsul3ktW1ZQ8AYzkuzDD00h/OGHC5bljVYDmD3bFNRFRERqu5LaiAFs3lx866/MjZksPnUxkT4fS6wEJlid8Rfz9XHBgsDflyyBQYNg4EBITTW52u83L9uG9HTT03vTplJ+KJEqLKxuGLE9TaE7a2MWmesyHY5Iqrp3332XDz74gMMOO4zVq1ezatUqDj/8cN5//33ef/99p8MTERGptlT0llI77jjTH7skXi+8/nrgspwceO89cwHcvDlMmmT2dfDosrZtC4rYB/P5AgvhRb0/Y4a52BYREanNTj21+BHcB3r66cJPcc35Pofvui8mZ1sOG10xjPd0I9cVWEWPi4OmTQsK2gfy+01OzsoqerS5329al/3vf6X8UCJVXETTCGK6xgCQvjyd7G3ZDkckVd2QIUP4/PPPWbZsGcuXL+ezzz5jyJAhToclIiJSranoLaVWr56ZyLIktm0mlMyzfTsccYSZNOvHH2HrVsjIMIXwvIvhnj3h99/hnHNCH1FeFLcbpk8v+/YiIiI1wR13BG9vkmfVKti/3/xs2zDmJi9zT1lCQkom24ngDn8S+3LD8PlMi5K4OHjxRXOTedu20I5RFJ8PPv20bNuKVGVR7aKIbBsJQNr8NHL35jockVRFfr+fxx57jP79+9OnTx/Gjh1LZqaeDhARESkPKnrXYrm5psA8Y0bpHy1+6qnQRo4dOHfPBReYi+pgFiyAP/808ZT1AjrvuNnZsG+fabNy8cWm2P7mm6DvkSIiUt2sWAHffgtz5pQuPx5zjOmZHYq8vP7Ki34a/ncZnUklGQ9jSGIPEfnr5bUmefFFc0P7UGVlmeL3V1/BVVfBkCEwfrzankj1F9M1hvDG4dh+m9Q5qfjSS5jBXWqdRx55hLvvvpvY2FiaN2/Oc889x8iRI50OS0REpEZQ0bsGys6G336D776DLVsKv2/b8Nxz0KwZHHusefS5TRvTV3PjxtCOERkJp50WvPBtWXDSSebnOXPgjz/MRW0webHVqxdaUb04eX2+W7SA226Djz6CqVPhyitN65TFi8u+bxERkfKydKkpZs+fX/Qk0bNnQ79+0KWLybt9+8Jhh5mJIEN1443B33e5ICkJEhLA57XZe9dK+rCPTFyMI4nNxBTaxu83sW/dGnocRfF4zLH79IEzzoB33oGPP4ZHHjH5+tlnD23/Ik6yLIu4XnF46njw5/hJmZWCP+cQRnVIjfP222/z4osvMmPGDD777DO+/PJLpkyZgv9QRv+IiIgIoKK3I3Jz4aefzEVdcRe5ZeH3w6OPQpMmZlTXoEHQsqVpFXLgRel998Ho0bB7d8Ey2zZF8n794N9/QztesEemLQsiIszxs7LMvkOZTAtMoX7QoOJ7epfE7YaGDc25yMws6DOaV3DfvdsU45OTy7Z/ERGpPZYtMwXmGTNMPisvM2eall+JiaaY3asXdO4MX39dsM6cOSafz5sXuO2GDebpqSlTQjvWOeeYeTSKy8N+Pxx/PPz7r83C69ZxVPpOvFiMpysriC92v243pKWZfZeV1wvr1hXMw5F309rnM3Hdeqvan0j1Zrkt4vvG44py4Uv3kTonFdtXTl/+pdrbtGkTgwcPzv994MCBWJbF1kO9oygiIiIqele21183o49POgkuvNBc5Hbvblp6HKpbboFx4wp6coK5cPzqKzjySNi504zknjCh6O19Pti714yuCsXxx5tR2VC4/7Ztm+LARReZCa5mzgxsdVKSo44qeSR5UTweU2w/5hhzsVzUDQWfD/bsgbfeKt2+RUSk9li2DI4+Grp1MwXmU081N5Uff/zQb1b/+iuceGLhp45WrzajnT/7zPw+erS5UX7wU1J5xx81yjzdVZLwcDOavG7dwFx84M/PPw93ttpM6hvmzvfjHM4c6gfdr22bfT/2WMkxHCyvAH/ZZbB8efE3ul2u0L+XiFRVrggX8UfGY4VZ5O7NJW1hGnZ5jXqRas3r9RIZGRmwLCwsjNxc9YAXERE5VCp6V6L//tdMALlzZ+DyZcvghBPMI8xltXy52X9RvF4z0vupp+Dtt4MXkr1eUwzOyQntuDffDIsWwdVXQ4cO5gL64OL2/v1mhFyoI7c7d4bGjc1I+EGDQtsGICoKrrjCjJ7/44+Sj/f556HvW0REao+1a6F//8J5OTkZ7roL7rmn7Pu2bVOs9vsLPy2VVwO78UYzB8affwZvC7Z/f+iTNnfrZvb55JPmqa6oqMD3B7Gd6+z1ALxkted7mpS4T78fBg40c2a8/nroN6pdLnMzfto0c2M82MTVfr8Z6b5rV2j7FqmqPLEe4vvEY7kssrdmk7Eiw+mQpAqwbZvhw4dz3nnn5b+ysrK4/vrrA5aJiIhI6anoXUlSU82FclHyWm/ceWfZ9z95cvCLRp8PXnnFTApV0ojrzEwzAWSokpLgpZdMj1GXK/gIuFBanIwZY2KMjoYXXih5fZfLjLxLT4fXXoPDDy+5aG/bmtBSRESKNn68ySnFFZwffRQ2by7bvhcuNL2wi2sPZtuwbVtoN2bd7tJN9livnpnn4uabC9p/ARzJHu5kJQAf0JKpdssSvyu43Wa0emKi+f2qq6BHj5JjSEwsmEj7vPPMSPVQngQrz9YyIk4Jqx9GbI9YADLXZZK5UV9Ga7srrriCRo0akZCQkP+67LLLaNasWcAyERERKb0gZVIpT598AhlBBnT4fGbyyX/+gdatS7//zZuLv4DOs3+/ebS5JG43vPee6Yt9xhlQp07J2+zcaR6dDlbwtizzGHROTvGFhDFjzGjtPG3bmovoxYuDFwiGDAm8aD7iCHM+izuOx2Nay4iIiBwoPR0+/DD400IuF7z7rmkpVlqhFstDuTHr85le2C+9BMcdZya7DMUbb5jP4PdDZ5IZzzLcwHc05hXaARAXBykpxe+jSxf44IPAZZddBgsWFP9dwOUy6xw4IrxHD1MED6ZePdNaRqQmiGgegS/DR8bKDNKXpuOOchPeONzpsMQhkydPdjoEERGRGksjvSvJ1q3BR2IfuF5ZNGxY8mPFUVFw+eUlt/3w+eD222HYMPPY8X33lVxQ37Gj5B6nHo9pg3L77ebiNSICYmOhTRtT6J492/QFPXjE18MPF79vyzL7PPhGwahRwR8J93rh+uuDxysiIrXPnj0l50mXy0y6XBYNG4a2Xvfu0LVryaOgJ0+GG24w6554ohklXpJ//zV5vRXpTGQJkfj5m3o8zuHYmAPGxMCrr5qbyJGR5tW4sZnPY8oUM8nmwZ/lqqugWbOin+pyu6FRI9Pm7UAXXQQJCcV/h3G5TLuXsLCSP5dIdRF9WDSRrSLBhtR5qXiTyzh7u4iIiIgUS0XvStKkSfAi7IHrlcVllwW/SPd4TGE5MdH8t6SL6Lwic1aWKTqXNJqtceOS9+nzmdYjjz1mLsqzskzblw0b4M03oU+forc7/XTTizwmxhwjLMxcPFuWucAuqgXKuecWXFgfeCGddyH+1FOmQCAiInKgevVKbsXl95c9X/frV/ITXXXqmIkzn3zS/B7qRNAzZ5oR36mpwddr0QIaWVk8zmIS8LKCOB6gK77//1poWdC8ucmj8+ebUeeZmbB9O/z8Mwwdam5cHywhwUzS2amT+d3jKbjh36GDea9evcBtoqPNiHG3u/DggLze32UZUS9S1cUkxhDWMAzbZ5MyKwVfZggXCiIiIiISMhW9K8l55xV9gZjH5YKjjzbtPMqib19T6C1qpJTbbQrGY8aY3199FW66KbSR53meespc7BanUSNzgR6sUOB2w8UXh37MA112mTn+a6+Z3ucTJsC6deb38CKeCLUs08P8zTcL+o1aFhx7LHz9telpKiIicrDYWDj//OD5zO83eaksXC6TU4OZONGMrD71VNMerVGj0Pbt9Zrc+Oabwde7+qJcHrUX05hsNhHFWBLJIvADHzwiO1Tt25uWKz/9BHffbQrW338PK1ZAx45Fb3PqqTBrFlxwQcGI7latzHn44QdTGBepaSyXRVzvODzxHvzZflJmpeDPLeHRShEREREJmYrelSQhAR56qOj3XK6CyRjLyrJMH+6rry58od65sxn9lVdQDwuD554zfTdDHT1m2zB1avB1JkwwBejiHlG+7z5o0CC04xUlNtaM7H7kEVPAL+kGgWWZUe0LF5o+4rm5ZoTaaaeVPQYREan57r/ftAQrrvB9yy2mNVdZnX++ydn165vf83JxQgK8+GJg+61zzjHtSHr0CD1nByt6+zJ9dHxzCW3JYDfhjKE7KRTcPXa7oVs30+KsrCwLTjgBHngAHnwQBg4sOfYjjoD33zdPgWVnmzlOxowxfw4iNZXL4yKuXxyuSBe+VB+pc1Ox/SX0CxQRERGRkKjoXYluvx2ef77wxJBt28J330H//oe2/8hIM7r5339Nj8///Q/++stMApk32vlAX38d+gW02w27dgVfp0cPU1Q+eCKthAQzqu3ee0M7VkXIa4kiIiJSks6dTSuOg9tgRUfD+PElj9QOxSWXmHk8Pv8c/vtf+Phj0/rrhhsKr7t9u7mBW9LcGWDW2bmz6Pf8Xj/LL15O6p8puBM8/DI4id3uyPz3LcsU2X/5xbnR1S5X0U9widRU7kg38f3isTwWubtzSVuU5nRIIiIiIjVCKRpcyKGyLNNW5JprzOO6e/dCu3am2B1q8TkUTZrA8OElr7dpkykElzRJJZhHpkvqQQqmV+nixTBvHqxZYwreJ55oCvIiIiLVRc+eptA8b55pzREbCyefbP5bXsLD4ayzSl5v8+bQ9+lyFT0K3bZtVl+/mj1f7MEV6SLxy24ce2ws92yD3383xfKjjoKWLUM/loiUD0+8h7jecaTMSiH732zc0W6iD1dfHxEREZFDoaK3AyIj4YwznI7CtBoJpeANph/5kCGhrWtZ0Lu3eYmIiFRXVSWflaY1mN9vbq4fbMN9G9j++nZwQZcPulDn2DoANG0KF15YPnGKSNmFNwwnNimWtEVpZKzOwBXtIrKlRo2IiIiIlJXam9RiQ4eCL8SJ4p94wozark5s2/QGDeVxcBERkarqsMNMz+vi5szI43LBMccUnjT630n/sumRTQB0fKkjDc4+hAk2KkhurnmqTKQ2i2wVSdRhppF92qI0cnblOByRiIiISPWlonct1rGjmfgyWGuVxo3h7bdh1KjKi+tQ7d4NY8eaCcKioiAmxvRI3bDB6chERETKJm+y6+JyttsN110H334b2BN759SdrL1lLQBtHmpDs2uaVXCkobNteOst6N7dxBweDscfb+YcEamtYjrFENE8AmxInZuKN0V3g0RERETKQkXvWu6ll8xj0AePHmvQwLy3dSsMG+ZMbHm2bYMff4Q//zQjwYLZutU8hv7kk7Bvn1mWmQmvvWb6sy5ZUvHxioiIlLeBA81kl/HxgcvdbjOPx65d8OKL5kZvnr0/7GXFsBVgQ7ORzWh9TwiTcxyC7GzTH/ynn0qe/Nq2zfeP4cNh6dKCZb//DqefbvK4SG0V2yOWsPph2F6blFkp+LJCfDRTRERERPKp6F3L/fUXvP9+YAsQy4LUVGjWrORHqSvSli1w/vnQooW52O/fH5o3h2efLb5lyahRZruD27Z4veYzDR2qdiciIlL9JCebQnByckFudrlMvnO7C7cgS52fyrJzl2Hn2jS8sCGHPXcYVnnOmn0Avx8eecT0Bz/2WDjpJPMd4rLLzNNXRfn0U3j99YLt8+Tl7zvvhGXLKiRckSrPclnE9YnDHevGn+UndVYqfm+IE/GIiIiICKCid622fTsMHgzp6YGFYNuGnBxTcF650pnYdu6Eo46CL74IvBjetQtuvdW0LznY1q3w+efF9wT1+cxosr//rpiYRUREKsoVV8CsWebnvLyY99/XX4fHHitYN2NtBotPW4wvzUedE+vQ+Z3OWO6KKXgDXH893HdfwRNWYHLxBx+YHuPJyYW3mTTJFOuL4/GYJ85EaitXmIv4fvG4Ilx4U7ykzUvD9mvkhoiIiEioVPSuxV59FTIyAovKeWzbvP7738qPC8zF+9atxRewH38c1q4NXLZsWdGf5UCWBQsXlkuIIiIilWLNGnNTN9jk008+aW5YZ2/PZvGgxeTuzCW2RyzdPu2GK6Livu7NnWu+TxT1FJXPZ2KfNKnwewsXBv88Xq/Zt0ht5o52E9c3DsttkbMzh/Ql6U6HJCIiIlJtqOhdi02fHrxI7PWakdaVze83PbiDXQx7PDB5cuCyiIiS923bEBl5aPGJiIhUpu++Cz7pNMDevTD/dy9LTltC1vosIttFkvhNIp54T4XGNnmyycnF8fvh5ZcLLz9wss2iWBZERx9abCI1QVidMGJ7xgKQtSmLjLUZDkckIiIiUj2o6F2LZWeXvE5OTsXHcbC0NEhJCb6ObcM//wQu69cP6tYNvp3bDaeeemjxiYiIVKacnJKL3mH4ybpjKWkL0whrFEbSjCQimoRwN/gQbdxY/FNZebZuLTwS/PzzgxfLAc4++5BCE6kxIppEENPNzFKbsSKD7C0hfIkXERERqeVU9K7Fjj46+AWnx2P6ale26OjQRoA1aBC4LCICxowpfhuXC4YPNxNtiYiIVBd9+gR/MsuFzb2uFbBgP+5YN0nfJBHdoXKGSTdsWHLxOiGhcNH+llvMjeiiivlut8nxl19efnGKVHdRbaOIahcFQNrCNHL35DockYiIiEjVpqJ3DZGRAd9+C598AqtWhbbNDTeU3E/z5pvLJ77S8Hhg6NDgF9FeL1x2WeHlY8bAqFEF+3G5CvZzxhnO9SgXEREBM+J57lyYNg1+/TV4Hs7Tvz9061bcxI82N1lrOM6/CyvMottn3YjrGVfeYRfr0kuDj/R2u80N54MdfrjpUx4dbQrfLlfB52vQAH74AerUqYiIRaqv6C7RhDcNx/bbpMxJwZtWwmMWIiIiIrWYit7VnN8PDz8MTZrAaaeZx4U7dYIBA8zkUcEkJsJzz5mfD7yQzvv53nvhhBMqJu6SjBtnem8XdYHvcsF550Hv3kW/N2kSLF1qRpGdfz5cey389Rd89pn6eYuIiHN++QW6djUjty+4AI4/Hlq1gilTgm9nWfDhh6YIfHBevMzaxDn2VrCg87udqXtSCX2+ytlJJ5nvCkXla7fbjPK+9daitx00CP79F559FoYMgUsugTffhA0bICmpIqMWqZ4syyLuiDg8dT3YuTaps1LxZ5cwi7uIiIhILaWidzV3661w332Qmhq4/I8/TGuSTZuCb3/TTfDzzzB4sBltFRlpLl6nT4eHHqq4uEvSsaMpDrRrZ353/f/fVLcbrryy5AJB167w5JOmSPDCC3DkkSX3QxUREakoM2fCyScXfhpr61bz5NLBkzMfrHNnWLQIbrsNGjWCsDAY3nArV9sbAOjwXAcaDWlUQdEXz+Uyk15feGFBns37b5cu5nO3bFn89nXqmKfK3n8f3nkHrrgCoqIqPGyRastyW8T3jccd48aX4SNldgq2zy55QxEREZFapoQujFKVrV4Nzz9f9Hs+HyQnwyOPwMsvB9/P8cebV1XTq5cpDvz2GyxebC6CBw+GZs2cjkxERKR0Ro82T2cV15v7ttvMSOdgTyQ1bw6PP25euz/fzdLzVgPQ6p5WtLipRfkHHaLYWFO0fvRRmDHDTLzZq5duOItUFFe4i/h+8eyfuR/vfi+p81OJ6x2HpX9wIiIiIvlU9K7G3n7bjHwurh+o12vW+e9/zYiw6siyTKuWAQOcjkRERKRsVqyA+fODr7N/P3z1lWnLVZL9M/ez/OLl4IcmVzeh7UNtyyXOQ9W6tWkpJiIVzx3jJr5vPCl/pZCzPYeM5RnEdI1xOiwRERGRKkPtTaqxrVtLHkGVlWVGfIuIiIgztmwpeR2XK7T10paksfSspfiz/NQ/sz4dX+qo0Z0itVRYvTBij4gFIHN9JpnrMx2OSERERKTqUNG7GmvcuOR1wsMhPr7iYxEREZGiNWlS8jp+f8nrZf2TxeJTF+Pd7yW+fzxdPuiCy6OvciK1WUSzCKI7RwOQviyd7O3ZDkckIiIiUjXoSqkaGzbMtDApjscDQ4eawreIiIg4o2tXSEwM/nRWXByccUbx7+fszmHRoEXkbM0hums0iV8k4o52l3+wIlLtRHeIJrK1mRAgbV4auftyHY5IRERExHkqeldjXbrAiBFFX0S73RATA/feWzHH3rsXfv8dZs+GXH2vFhERKZZlwdNPm/8WV/h+9FGIji76PV+6jyWnLyFzVSYRLSNI+jaJsHqhTdbh9cLcuTBzJuzaVcYPICJVXkxiDOGNw7H9NqmzU/GlFzPpj4iIiEgtUe2K3tnZ2fTo0QPLsli4cKHT4TjupZdgzBiIjAxc3r27KUq3b1++x9u7F6680jyCfeyx0K8fNGsGTzxhHs0WERHJo5xdYOBAmD4dWrUKXF6vnsnlN95Y9Hb+XD/LLlhG6uxUPPU8JM1IIrJFZNErH8C24cUXzfH69IHjjjP5euhQ2LGjHD6QiFQplmUR2zMWT4IHf46flFkp+HP05VxCo3wtIiI1UbUreo8ZM4ZmzZo5HUaV4Xab0WHbt8PHH8Pbb8O8eebVrVv5HislxRS633kncHT37t2m8H7TTeV7PBERqd6UswOddhqsXw8//wxvvmmK4Fu3wnXXFb2+7bdZddUq9n67F1eUi8SvEonpHBPSse67D0aOhG3bCpZ5vfDhh3DkkSZ3i0jN4vK4iOsbhyvKhS/dR+qcVGy/7XRYUg0oX4uISE1UrYre33zzDd999x1PPvmk06FUOQkJcP75ps93z54Vc4xJk2DlSvAV87Tkiy+CBgaIiAgoZxfH5YLjj4crroDTT4eIiOLXXX/Xena8uwPc0PXjriQcmRDSMdavhwkTin7P54PNm+Gxx0ofu4hUfe5IN/H94rE8Frl7c0lbmIZtq/AtxVO+FhGRmqraFL137NjBNddcwzvvvEN0cU0vD5KdnU1KSkrAS8ru5ZeDtzDxeOD11ysvHhERqZpKm7OVrwvb9OQmNj+5GYBOb3Si/uD6IW/7xhumuF4cnw9ee01tyURqKk+ch7g+cWBB9pZsMlZmOB2SVFHK1yIiUpNVi6K3bdsMHz6c66+/nt69e4e83cSJE0lISMh/tWzZsgKjrNlsG/79N/g6Xi9s2FA58YiISNVUlpytfB1o+zvbWX/negDaPd6OJpc3KdX2GzeWvM7+/ZCWVvrYRKR6CG8QTmz3WAAy12aS9U+WwxFJVaN8LSIiNZ2jRe+xY8diWVbQ18qVK5k0aRKpqamMGzeuVPsfN24cycnJ+a/NmzdX0Cep+SzLtFAJxuOB+qEPRBMRkWqkInO28nWBPd/uYdVVqwBocVsLWt5R+oJC/fombwcTFgYhPjgnItVUZMtIog83/9DTlqSRszPH4YikMihfi4iIGB4nD3777bczfPjwoOu0a9eOn376ib/++ouIgxpf9u7dm0svvZS33nqryG0jIiIKbSNlN2wY/O9/ZkR3UbxeuPTSyo1JREQqR0XmbOVrI2VWCsvOX4bttWl0aSPaP9Eeq6TqdRGGDoXnny/+fY8HLr7Y/FdEarbojtH4Mnxkb84mdW4qCf0T8CToH39NpnwtIiJiWHY1mNlk06ZNAf3Ctm7dyqBBg/j444/p168fLVq0CGk/KSkpJCQkkJycTHx8fEWFW2P98w/06AGpqYUns3S7oX9/+Pnn4H1EpfrIyclh4sSJgBnVER4e7nBEIlWf8kz55OzaeB4zVmUwv/98vHu81B1Ul8QvEnGFly2h2jacfTZ89VXhvt1ut5k8c9486NSpHAIXkSrP9tukzEohd3curkgXCcck4I5yOx2Wo2pjnjmY8rVI5bN9Nnu+3gNA/cH1sdylH9wgUtscSq6pFrf5W7VqFfB7bKzpT9e+ffuQC95y6Fq3hl9/hSFDYNUqU9y27YKL6zffVMFbRKS2U84uvewt2Sw6ZRHePV7i+sTR9eOuZS54g2ltMnUqXHstTJlilrlc5oZ1q1bwwQcqeIvUJpbLIq53HMl/JONL9ZEyK4WE/gm4wvTFvTZTvhYRkZquWhS9pepISoIVK+C338wosfBwOO00aN/e6chERESqn9z9uSw+dTHZm7KJOiyKxK8S8cQe+tezqCh45x145BEz4jszExIT4aSTdINapDZyhbmI7xdP8u+m8J06N5X4fvFYLo0yFBERkZqpWha927RpQzXoylJjWRYMGGBeIiIiwShnF8+X6WPpWUtJX5pOeNNwkr5LIrxh+baSatUKbrihXHcpItWUO8pNfN94kv9IJnd3LmmL04jrEed0WFJFKF+LiEhNo7E+IiIiIpXM7/WzYugKkmcm4453k/RtElFtopwOS0RqOE+Ch7jecWBB9uZsMlZnOB2SiIiISIVQ0VtERESkEtm2zZob17D7s91YERaJXyQSmxTrdFgiUkuENwonNtH8PydjVQZZ/2Y5HJGIiIhI+VPRW0RERKQSbRy/kW2vbgMXdHmvC3UG1HE6JBGpZSJbRxLVwTxdkrYwjZzdOQ5HJCIiIlK+VPQWERERqSRbXtjCPw/9A0DHFzvS8LyGDkckIrVVdKdoIppHgA2pc1PxpnqdDklERESk3KjoLSIiIlIJdn60kzU3rQGgzQNtaHZdM4cjEpHazLIsYnvEElYvDDvXJmVWCr4sn9NhiYiIiJSLWln0HjoUfvgBNDm1iIhI1TVgALzwAqSlOR3Jodv30z5WXLYCbGh2QzNa39fa6ZBERLBcFnF94nDHuPFn+kmdnYrf63c6LBEREZFDViuL3t9+CyefDKNHq/AtIiJSVS1cCDfdBL17w44dTkdTdqkLUll6zlLsHJsG5zfgsEmHYVmW02GJiADgCncRf2Q8rnAX3mQvafPTsHWRJCIiItVcrSx6+/7/qb3nn4f33nM2FhERESmebcPatXD55U5HUjaZ6zJZfNpifKk+6hxfh87vdsZyq+AtIlWLO9pNXN84LJdFzo4c0pemOx2SiIiIyCGplUXvPC4XPPmk01GIiIhIMD4ffPcdrFrldCSlk7Mjh0WDFpG7I5eY7jF0+6wb7ki302GJiBQprG4Ysb1iAcjamEXmukyHIxIREREpu1pd9Pb7zaPTmfo+JyIiUuX9/rvTEYTOm+pl8eDFZK3LIrJtJEnfJOFJ8DgdlohIUBFNIojpGgNA+vJ0srdmOxyRiIiISNnU6qJ3HrXVFBERqfqqS772Z/tZeu5S0uanEdYwjKQZSUQ0jXA6LBGRkES1iyKybSQAaQvSyN2b63BEIiIiIqVXq4veLpeZHCsy0ulIREREpCTHHed0BCWz/TYrrljB/h/34451k/RNEtGHRTsdlohIqcR0jSG8STi23yZldgq+dJ/TIYmIiIiUSq0uevv9cMcdTkchIiIiwbjdcMYZ0KGD05EEZ9s2a0evZdfUXVhhFl0/6UpcrzinwxIRKTXLsojrGYenjgc71ybl7xT8OX6nwxIREREJWa0serv/fw6psWNhyBBnYxEREZGi5bUz6dIFJk92NpZQbHp0E1smbQGg01udqHdyPYcjEhEpO8ttEd83Hne0G1+Gj5TZKdg+2+mwREREREJSK4ve554LM2fCxInVpz+oiIhIbXPkkfD66zBrFjRo4HQ0wW17fRsb7t4AQIdnO9D4ksYORyQicuhcES7i+sVhhVl493lJXZCKbavwLSIiIlWfx+kAnPD66xAf73QUIiIiEsy331aPfL37i92sunYVAK3GtqLFLS0cjkhEpPx4Yj3E94kn5e8UcrblkLE8g5iuMU6HJSIiIhJUrRzpLSIiIlIekv9IZvlFy8EPTa5sQtsJbZ0OSUSk3IXVDyO2RywAmeszydyQ6XBEIiIiIsGp6C0iIiJSBunL0llyxhL8WX7qn1Gfjq90xFLfNBGpoSKaRxDdKRow///L3p7tcEQiIiIixVPRW0RERKSUsjZlsWjQIrz7vcQfFU+XqV1wefS1SkRqtujDoolsFQk2pM1PI3d/rtMhiYiIiBRJV2ciIiIipZC7J5fFgxaTsyWH6M7RJE5PxB3tdjosEZFKEZMUQ3ijcGyfTersVHwZPqdDEhERESlERW8RERGREPnSfSw+fTEZKzOIaBFB0owkwuqFOR2WiEilsSyL2F6xeOI9+LP9pMxKwZ/rdzosERERkQAqeouIiIiEwJ/rZ9mQZaTOSsVT10PSjCQiW0Y6HZaISKVzeVzE9YvDFenCl+YjdU4qtt92OiwRERGRfCp6i4iIiJTAtm1WXbOKvV/vxRXlIvGrRGK6xDgdloiIY9yRbuL7xWN5LHL35JK2MM3pkERERETyqegtIiIiUoL149az460d4IYuH3Yh4agEp0MSEXGcJ95DXO84sCB7SzbpK9OdDklEREQEUNFbREREJKjNz2xm82ObATj8tcNpcEYDhyMSEak6whuGE9s9FoDMNZlkbcpyOCIRERERFb1FREREirVjyg7W3bYOgHaPtqPp8KYORyQiUvVEtowkumM0AGmL08jZleNwRCIiIlLbqegtIiIiUoS93+1l5fCVALQY3YKWY1o6HJGISNUVfXg0ES0iwIbUual4U7xOhyQiIiK1mIreIiIiIgdJmZPC0vOWYnttGl3SiPZPtceyLKfDEhGp0mK7xxLWIAzba5MyKwVfls/pkERERKSWUtFbRERE5AAZqzNYMngJ/nQ/dQfWpdObnbBcKniLiJTEclnE9Y7DHevGn+UndVYqfq/f6bBERESkFlLRW0REROT/ZW/NZtEpi8jdnUtsr1i6ftIVV7i+LomIhMoV5iK+XzyuCBfeFC+pc1Ox/bbTYYmIiEgto6s4ERERESB3fy6LT1tM9j/ZRHWIIunrJDxxHqfDEhGpdtzRbuL6xmG5LXJ35ZK+JN3pkERERKSWUdFbREREaj1flo+lZy8lfXE64U3CSfouifBG4U6HJSJSbYXVCSOuVxxYkLUpi4w1GU6HJCIiIrWIit4iIiJSq9k+mxVDV5D8WzLueDeJ3yQS1TbK6bBERKq98MbhxHSLASBjZQbZW7IdjkhERERqCxW9RUREpNaybZvVN65m96e7scItun3ejbgecU6HJSJSY0S1iSKqvbmRmLYwjdw9uQ5HJCIiIrWBit4iIiJSa218YCPbXtkGFnR5rwt1j6/rdEgiIjVOdOdowpuGY/ttUuak4E3zOh2SiIiI1HAqeouIiEittOV/W/jngX8AOOzFw2h4fkOHIxIRqZksyyLuiDg8dT3YuTaps1LxZ/udDktERERqMBW9RUREpNbZNW0Xa0auAaD1+NY0v765wxGJiNRsltsivm887hg3vgwfKbNTsH2202GJiIhIDaWit4iIiNQq+37Zx/Khy8GGptc1pc34Nk6HJCJSK7jCXcT3i8cV7sK730vqvFRsW4VvERERKX8qeouIiEitkbYojaVnL8XOsWlwXgM6vtARy7KcDktEpNZwx7iJ6xOH5bLI2ZFD+rJ0p0MSERGRGkhFbxEREakVMjdksvjUxfhSfCQcl0DnKZ2x3Cp4i4hUtrB6YcT2jAUga0MWmeszHY5IREREahoVvUVERKTGy9mZw+JTFpOzPYeYpBi6fd4Nd6Tb6bBERGqtiKYRxHSJASB9WTrZ27IdjkhERERqEhW9RUREpEbzpnpZcvoSMtdmEtE6gqRvkgirE+Z0WCIitV5U+ygi20QCkDY/jdx9uQ5HJCIiIjWFit4iIiJSY/lz/Cw7fxmpc1MJaxBG9++6E9EswumwRETk/8V0iyG8cTi23yZ1diq+dJ/TIYmIiEgNoKK3iIiI1Ei232bl8JXs+34frhgXiV8lEt0x2umwRETkAJZlEdcrDk+CB3+On5RZKfhz/E6HJSIiItWcit4iIiJS49i2zdrb1rLz/Z1YHotu07oR3zfe6bBERKQIltsivl88rigXvnQfqXNSsf2202GJiIhINaait4iIiNQ4mx/fzJbntgDQ6c1O1BtUz+GIREQkGFeEi/h+8VhhFrl7c0lbkIZtq/AtIiIiZaOit4iIiNQo2yZvY/3Y9QC0f7o9jS9t7HBEIiISCk+ch7jecVgui+yt2WSsyHA6JBEREammVPQWERGRGmP39N2sumYVAC3HtKTlrS0djkhEREojvEE4Md1jAMhcl0nmxkyHIxIREZHqSEVvERERqRGS/0xm+ZDl4IPGVzSm3aPtnA5JRETKILJFJNGdzMTD6UvTydmR43BEIiIiUt2o6C0iIiLVXvrydJacsQR/pp96g+tx+KuHY1mW02GJiEgZRR8WTWSrSLAhdV4q3mSv0yGJiIhINaKit4iIiFRrWZuzWDxoMd59XuKPjKfrh11xhekrjohIdReTGENYwzBsn03KrBR8mT6nQxIREZFqQleEIiIiUm3l7s1l8amLyf43m+hO0SROT8Qd43Y6LBERKQeWyyKudxyeeA/+bD8ps1Lw5/qdDktERESqARW9RUREpFryZfhYcuYSMpZnEN48nKQZSYTVD3M6LBERKUcuj4u4fnG4Il34Un2kzk3F9ttOhyUiIiJVnIreIiIiUu34vX6WX7SclD9T8NTx0H1Gd9P7VUREahx3pJv4fvFYHovc3bmkLUpzOiQRERGp4lT0FhERkWrFtm1WX7uaPdP34Ip0kTg9kZiuMU6HJSIiFcgT7yGudxxYkP1vNhmrMpwOSURERKowFb1FRESkWtlwzwa2T94OLugytQsJ/ROcDklERCpBeMNwYpNiAchYnUHW5iyHIxIREZGqSkVvERERqTb+fe5fNk3cBMDhrxxOg7MaOByRiIhUpshWkUQdFgVA2qI0cnblOByRiIiIVEUqeouIiEi1sOODHawdvRaAto+0penVTR2OSEREnBB9eDQRzSPAhtS5qXhTvE6HJCIiIlWMit4iIiJS5e39fi8rL18JQPObmtNqXCuHIxIREadYlkVsj1jC6odhe21SZqfgy/I5HZaIiIhUISp6i4iISJWWMjeFZectw861aTikIR2e7YBlWU6HJSIiDrJcFnF94nDHuvFn+kmdlYrf63c6LBEREakiVPQWERGRKitjTQZLBi/Bl+ajzkl16Px2ZyyXCt4iIgKuMBfx/eJxRbjwpnhJm5eGbdtOhyUiIiJVgIreIiIiUiVlb89m8aDF5O7KJbZnLN0+6YYrQl9dRESkgDvaTVzfOCy3Rc7OHNKXpDsdkoiIiFQBunIUERGRKmnp+UvJ2pBFZPtIkr5OwhPvcTokERGpgsLqhBHbMxaArH+yyFib4XBEIiIi4jQVvUVERKRKyliaQVjjMLrP6E5443CnwxERkSosokkEMd1iAMhYkUH2lmyHIxIREREnqegtIiIiVZI71k3SN0lEtY9yOhQREakGotpGEdXO5Iy0hWnk7s11OCIRERFxioreIiIiUiV1fq8zcUfEOR2GiIhUI9FdoglvEo7tt0mZnYI3zet0SCIiIuKAalX0/uqrr+jXrx9RUVHUrVuXc845x+mQRERE5CDlla/rDqhbvoGJiEiNZ1kWcT3j8NT1YOfapM5KxZ/tdzqsKkvX2CIiUlNVmxmhpk2bxjXXXMOECRM48cQT8Xq9LF261OmwRERE5ADK1yIi4jTLbRHfJ57k35PxZfhImZ1CwtEJWG7L6dCqFOVsERGpyapF0dvr9XLLLbfwxBNPcPXVV+cv79Kli4NRiYiIyIGUr0VEpKpwRbiIPzKe/TP3493vJXV+KnG947AsFb5BOVtERGq+alH0nj9/Plu2bMHlcnHEEUewfft2evTowRNPPEG3bt2K3S47O5vs7IJZu5OTkwFISUmp8JhFqrucnByysrIA828mPDzc4YhEqr68/GLbtsOROEP5WkREqpxOkDYnDXu9Tbo/nZjOMbU+X0PZcrbytcihsX02qRmpAISlhOnpE5EQHFLOtquB999/3wbsVq1a2R9//LE9d+5c+5JLLrHr169v79mzp9jtxo8fbwN66aWXXnrpVamvdevWVWKWrDqUr/XSSy+99KpOr9qar227bDlb+VovvfTSSy+nXmXJ2ZZtO3d7e+zYsTz22GNB11mxYgXz58/n0ksv5eWXX+baa68FzF3mFi1a8PDDD3PdddcVue3Bd6L3799P69at2bRpEwkJCeX3QaqplJQUWrZsyebNm4mPj3c6nCpB5ySQzkcgnY/CdE4CJScn06pVK/bt20edOnWcDqfcKF87T//WAul8BNL5KEznJJDOR6Camq+hYnO28nXJ9G8tkM5HYTongXQ+Aul8FHYoOdvR9ia33347w4cPD7pOu3bt2LZtGxDYXywiIoJ27dqxadOmYreNiIggIiKi0PKEhAT95TlAfHy8zsdBdE4C6XwE0vkoTOckkMvlcjqEcqV8XXXo31ognY9AOh+F6ZwE0vkIVNPyNVRszla+Dp3+rQXS+ShM5ySQzkcgnY/CypKzHS16N2zYkIYNG5a4Xq9evYiIiGDVqlUcc8wxAOTm5rJx40Zat25d0WGKiIjUasrXIiIi1YNytoiIiFEtJrKMj4/n+uuvZ/z48bRs2ZLWrVvzxBNPAHDhhRc6HJ2IiIiA8rWIiEh1oZwtIiI1XbUoegM88cQTeDwehg0bRmZmJv369eOnn36ibt26Ie8jIiKC8ePHF/lIVm2k81GYzkkgnY9AOh+F6ZwE0vlQvq4oOieBdD4C6XwUpnMSSOcjkM6Hcag5W+exMJ2TQDofhemcBNL5CKTzUdihnBNHJ7IUERERERERERERESlPNW/mDhERERERERERERGptVT0FhEREREREREREZEaQ0VvEREREREREREREakxVPQWERERERERERERkRqjVhe9v/rqK/r160dUVBR169blnHPOcTokx2VnZ9OjRw8sy2LhwoVOh+OYjRs3cvXVV9O2bVuioqJo374948ePJycnx+nQKs0LL7xAmzZtiIyMpF+/fsyePdvpkBwzceJE+vTpQ1xcHI0aNeKcc85h1apVTodVZTz66KNYlsXo0aOdDsVRW7Zs4bLLLqN+/fpERUWRmJjI3LlznQ6rRlC+LppytvJ1HuVsQ/k6OOVrQ/m6YilnF6Z8bShnK18fSDk7OOXs8snXtbboPW3aNIYNG8aVV17JokWL+OOPPxg6dKjTYTluzJgxNGvWzOkwHLdy5Ur8fj8vv/wyy5Yt45lnnuGll17i7rvvdjq0SjF16lRuu+02xo8fz/z58+nevTuDBg1i586dTofmiF9//ZWRI0fy999/8/3335Obm8spp5xCenq606E5bs6cObz88sskJSU5HYqj9u3bR//+/QkLC+Obb75h+fLlPPXUU9StW9fp0Ko95eviKWcrX4Ny9oGUr4unfG0oX1cs5eyiKV8btT1nK18HUs4unnJ2OeZruxbKzc21mzdvbr/22mtOh1KlfP3113anTp3sZcuW2YC9YMECp0OqUh5//HG7bdu2TodRKfr27WuPHDky/3efz2c3a9bMnjhxooNRVR07d+60AfvXX391OhRHpaam2ocddpj9/fff2wMGDLBvueUWp0NyzF133WUfc8wxTodR4yhfF085u3i1KV/btnJ2MMrXhvJ1AeXriqOcXTTl6+BqU85Wvg5OOdtQzjbKK1/XypHe8+fPZ8uWLbhcLo444giaNm3KaaedxtKlS50OzTE7duzgmmuu4Z133iE6OtrpcKqk5ORk6tWr53QYFS4nJ4d58+YxcODA/GUul4uBAwfy119/ORhZ1ZGcnAxQK/4+BDNy5EhOP/30gL8rtdUXX3xB7969ufDCC2nUqBFHHHEEr776qtNhVXvK10VTzg6utuRrUM4uifK1oXxdQPm64ihnF6Z8XbLakrOVr0umnG0oZxvlla9rZdF7/fr1ANx///3ce++9TJ8+nbp163L88cezd+9eh6OrfLZtM3z4cK6//np69+7tdDhV0tq1a5k0aRLXXXed06FUuN27d+Pz+WjcuHHA8saNG7N9+3aHoqo6/H4/o0ePpn///nTr1s3pcBzzwQcfMH/+fCZOnOh0KFXC+vXr+d///sdhhx3GjBkzuOGGG7j55pt56623nA6tWlO+Lkw5O7jalK9BOTsY5WtD+TqQ8nXFUc4OpHxdstqUs5Wvg1PONpSzC5RXvq5RRe+xY8diWVbQV14fKYB77rmH888/n169ejF58mQsy+Kjjz5y+FOUn1DPx6RJk0hNTWXcuHFOh1zhQj0nB9qyZQunnnoqF154Iddcc41DkUtVMXLkSJYuXcoHH3zgdCiO2bx5M7fccgtTpkwhMjLS6XCqBL/fT8+ePZkwYQJHHHEE1157Lddccw0vvfSS06FVScrXhSlnB1K+lkOlfK18XRTl69JTzg6kfF2YcrYcKuVs5eyDlVe+9lRQfI64/fbbGT58eNB12rVrx7Zt2wDo0qVL/vKIiAjatWvHpk2bKjLEShXq+fjpp5/466+/iIiICHivd+/eXHrppTVq5EOo5yTP1q1bOeGEEzj66KN55ZVXKji6qqFBgwa43W527NgRsHzHjh00adLEoaiqhlGjRjF9+nR+++03WrRo4XQ4jpk3bx47d+6kZ8+e+ct8Ph+//fYb//3vf8nOzsbtdjsYYeVr2rRpQE4B6Ny5M9OmTXMooqpN+bow5exAytehUc4umvK1oXxdmPJ16SlnB1K+Lkw5u2TK18VTzjaUswOVV76uUUXvhg0b0rBhwxLX69WrFxEREaxatYpjjjkGgNzcXDZu3Ejr1q0rOsxKE+r5eP7553n44Yfzf9+6dSuDBg1i6tSp9OvXryJDrHShnhMwd59POOGE/FEKLleNejCiWOHh4fTq1Ysff/yRc845BzB32X788UdGjRrlbHAOsW2bm266iU8//ZRffvmFtm3bOh2So0466SSWLFkSsOzKK6+kU6dO3HXXXbUqGefp378/q1atCli2evXqGpVTypPydWHK2YGUr0OjnB1I+TqQ8nVhytelp5wdSPm6MOXskilfF6acHUg5O1B55esaVfQOVXx8PNdffz3jx4+nZcuWtG7dmieeeAKACy+80OHoKl+rVq0Cfo+NjQWgffv2tfZO25YtWzj++ONp3bo1Tz75JLt27cp/rzbcib3tttu44oor6N27N3379uXZZ58lPT2dK6+80unQHDFy5Ejee+89Pv/8c+Li4vL7riUkJBAVFeVwdJUvLi6uUK+1mJgY6tevX2t7sN16660cffTRTJgwgSFDhjB79mxeeeWVWjN6paIoXxemnB2otudrUM4+kPJ1IOXrwpSvK45ydiDl68Jqe85Wvg6knB1IOTtQueVru5bKycmxb7/9drtRo0Z2XFycPXDgQHvp0qVOh1UlbNiwwQbsBQsWOB2KYyZPnmwDRb5qi0mTJtmtWrWyw8PD7b59+9p///230yE5pri/C5MnT3Y6tCpjwIAB9i233OJ0GI768ssv7W7dutkRERF2p06d7FdeecXpkGoE5evganvOVr42lLMN5euSKV8rX1ck5ezi1fZ8bdvK2batfH0g5eyS1facXR752rJt2y5lwV1EREREREREREREpEqqHQ2URERERERERERERKRWUNFbRERERERERERERGoMFb1FREREREREREREpMZQ0VtEREREREREREREagwVvUVERERERERERESkxlDRW0RERERERERERERqDBW9RURERERERERERKTGUNFbRERERERERERERGoMFb1FRERERERERKTK2bNnD40aNWLjxo2Vetw2bdrw7LPPhrz+m2++SZ06dSosnjy//PILlmWxf//+Cj+WHLqcnBzatGnD3LlznQ6lVlLRW0RERERERESkEg0fPhzLsrAsi/DwcDp06MCDDz6I1+vNX8e2bV555RX69etHbGwsderUoXfv3jz77LNkZGQAsGzZMs4//3zatGmDZVmlKtRWB4888ghnn302bdq0cTqUoC666CJWr17tdBjVXm5uLg8++CDt27cnMjKS7t278+233wask/d3/eDXyJEji93v8ccfX+Q2p59+ev46tm3zn//8h6ZNmxIVFcXAgQNZs2ZN/vvZ2dkMGzaM+Ph4OnbsyA8//BBwjCeeeIKbbropYFl4eDh33HEHd91116GcFikjFb1FRERERERERCrZqaeeyrZt21izZg233347999/P0888UT++8OGDWP06NGcffbZ/PzzzyxcuJD77ruPzz//nO+++w6AjIwM2rVrx6OPPkqTJk2c+ihB5ebmlmm7jIwMXn/9da6++upyjqj8RUVF0ahRI6fDqDBl/TMsrXvvvZeXX36ZSZMmsXz5cq6//nrOPfdcFixYkL/OnDlz2LZtW/7r+++/B+DCCy8sdr+ffPJJwDZLly7F7XYHbPP444/z/PPP89JLLzFr1ixiYmIYNGgQWVlZALzyyivMmzePv/76i2uvvZahQ4di2zYAGzZs4NVXX+WRRx4pdOxLL72U33//nWXLlpXLOZLQqegtIgF27dpFkyZNmDBhQv6yP//8k/DwcH788UcHIxMREZEDKWeLiFRvERERNGnShNatW3PDDTcwcOBAvvjiCwA+/PBDpkyZwvvvv8/dd99Nnz59aNOmDWeffTY//fQTJ5xwAgB9+vThiSee4OKLLyYiIiKk4/7zzz+ceeaZ1K1bl5iYGLp27crXX3+d//6yZcs444wziI+PJy4ujmOPPZZ169YB4Pf7efDBB2nRogURERH06NEjYCTuxo0bsSyLqVOnMmDAACIjI5kyZQoAr732Gp07dyYyMpJOnTrx4osvBo3z66+/JiIigiOPPDJg+dKlSznttNOIjY2lcePGDBs2jN27dwOm/Ud4eDgzZ87MX//xxx+nUaNG7NixAzCjfkeNGsWoUaNISEigQYMG3HffffkFzKI8/fTTJCYmEhMTQ8uWLbnxxhtJS0vLf//g9ib3338/PXr04J133qFNmzYkJCRw8cUXk5qamr+O3+9n4sSJtG3blqioKLp3787HH39c6Bx07NiRqKgoTjjhhBLbvAwdOpSLLrooYFlubi4NGjTg7bffBuDbb7/lmGOOoU6dOtSvX58zzjgj/88Xgv8ZVrR33nmHu+++m8GDB9OuXTtuuOEGBg8ezFNPPZW/TsOGDWnSpEn+a/r06bRv354BAwYUu9969eoFbPP9998THR2dX/S2bZtnn32We++9l7PPPpukpCTefvtttm7dymeffQbAihUrOOuss+jatSsjR45k165d+X/vbrjhBh577DHi4+MLHbtu3br079+fDz74oBzPlIRCRW8RCdCwYUPeeOMN7r//fubOnUtqairDhg1j1KhRnHTSSU6HJyIiIv9POVtEpGaJiooiJycHgClTpnD44Ydz9tlnF1rPsiwSEhLKfJyRI0eSnZ3Nb7/9xpIlS3jssceIjY0FYMuWLRx33HFERETw008/MW/ePK666qr8tivPPfccTz31FE8++SSLFy9m0KBBnHXWWQFtIADGjh3LLbfcwooVKxg0aBBTpkzhP//5D4888ggrVqxgwoQJ3Hfffbz11lvFxjlz5kx69eoVsGz//v2ceOKJHHHEEcydO5dvv/2WHTt2MGTIEMAUtEePHs2wYcNITk5mwYIF3Hfffbz22ms0btw4fz9vvfUWHo+H2bNn89xzz/H000/z2muvFRuLy+Xi+eefZ9myZbz11lv89NNPjBkzJuh5XrduHZ999hnTp09n+vTp/Prrrzz66KP570+cOJG3336bl156iWXLlnHrrbdy2WWX8euvvwKwefNmzjvvPM4880wWLlzIiBEjGDt2bNBjXnrppXz55ZcBBfkZM2aQkZHBueeeC0B6ejq33XYbc+fO5ccff8TlcnHuuefi9/sD9nXwn2FR8m4+FPfq2rVr0HgPlp2dTWRkZMCyqKgofv/99yLXz8nJ4d133+Wqq67CsqyQj/P6669z8cUXExMTA5iR2tu3b2fgwIH56yQkJNCvXz/++usvALp3787vv/9OZmYmM2bMoGnTpjRo0IApU6YQGRmZf36L0rdv34AbMVJJbBGRItx44412x44d7aFDh9qJiYl2VlaW0yGJiIhIEZSzRUSqnyuuuMI+++yzbdu2bb/fb3///fd2RESEfccdd9i2bdudO3e2zzrrrFLts3Xr1vYzzzxT4nqJiYn2/fffX+R748aNs9u2bWvn5OQU+X6zZs3sRx55JGBZnz597BtvvNG2bdvesGGDDdjPPvtswDrt27e333vvvYBlDz30kH3UUUcVG+fZZ59tX3XVVYW2OeWUUwKWbd682QbsVatW2bZt29nZ2XaPHj3sIUOG2F26dLGvueaagPUHDBhgd+7c2fb7/fnL7rrrLrtz5875v5d0Lj/66CO7fv36+b9PnjzZTkhIyP99/PjxdnR0tJ2SkpK/7M4777T79etn27ZtZ2Vl2dHR0faff/4ZsN+rr77avuSSS2zbNn8WXbp0CXj/rrvusgF73759RcaVm5trN2jQwH777bfzl11yySX2RRddVOxn2bVrlw3YS5YssW27+D/Dovz777/2mjVrin1t3LixxH0c6JJLLrG7dOlir1692vb5fPZ3331nR0VF2eHh4UWuP3XqVNvtdttbtmwJ+RizZs2yAXvWrFn5y/744w8bsLdu3Rqw7oUXXmgPGTLEtm3bzsnJsW+88Ua7TZs2du/eve2ZM2fae/bssdu1a2dv2rTJvueee+z27dvbp5xyiv3vv/8G7Oe5556z27RpE3KMUj48DtbbRaQKe/LJJ+nWrRsfffQR8+bNC/lROREREalcytkiItXT9OnTiY2NJTc3F7/fz9ChQ7n//vsBgrbaOFQ333wzN9xwA9999x0DBw7k/PPPJykpCYCFCxdy7LHHEhYWVmi7lJQUtm7dSv/+/QOW9+/fn0WLFgUs6927d/7P6enprFu3jquvvpprrrkmf7nX6w06Yj0zM7PQqN9Fixbx888/549MP9C6devo2LEj4eHhTJkyhaSkJFq3bs0zzzxTaN0jjzwyYGTwUUcdxVNPPYXP58Ptdhda/4cffmDixImsXLmSlJQUvF4vWVlZZGRkEB0dXWT8bdq0IS4uLv/3pk2bsnPnTgDWrl1LRkYGJ598csA2OTk5HHHEEYBpp9GvX7+A94866qgij5XH4/EwZMgQpkyZwrBhw0hPT+fzzz8PaK2xZs0a/vOf/zBr1ix2796dP8J706ZNdOvWLX+9A/8Mi9O8efMS1ymN5557jmuuuYZOnTphWRbt27fnyiuv5I033ihy/ddff53TTjuNZs2ahXyM119/ncTERPr27Vuq2MLCwnjhhRcCll155ZXcfPPNLFiwgM8++4xFixbx+OOPc/PNNzNt2rT89aKiovInn5XKo/YmIlKkdevWsXXrVvx+f4l9w0RERMQ5ytkiItXTCSecwMKFC1mzZg2ZmZm89dZb+e0WOnbsyMqVKyvkuCNGjGD9+vUMGzaMJUuW0Lt3byZNmgSY4lx5yPscQH6rjVdffZWFCxfmv5YuXcrff/9d7D4aNGjAvn37ApalpaXlt/s48LVmzRqOO+64/PX+/PNPAPbu3cvevXsP6bNs3LiRM844g6SkJKZNm8a8efPyi5957WiKcvCNA8uy8gvMeefkq6++Cvgcy5cvL9TXu7QuvfRSfvzxR3bu3Mlnn31GVFQUp556av77Z555Jnv37uXVV19l1qxZzJo1q8jPcuCfYXHKu71Jw4YN+eyzz0hPT+eff/5h5cqVxMbG0q5du0Lr/vPPP/zwww+MGDEi5P2np6fzwQcfFJocNW8S2Ly+73l27NhR7ASxP//8M8uWLWPUqFH88ssvDB48mJiYGIYMGcIvv/wSsO7evXtp2LBhyHFK+dBIbxEpJCcnh8suu4yLLrqIww8/nBEjRrBkyZIaPRu1iIhIdaScLSJSfcXExNChQ4ci3xs6dCgXX3wxn3/+eaG+3rZtk5KSckh9vVu2bMn111/P9ddfz7hx43j11Ve56aabSEpK4q233iI3N7dQ0TY+Pp5mzZrxxx9/BEwa+McffwQdNdu4cWOaNWvG+vXrufTSS0OO8YgjjuDdd98NWNazZ0+mTZtGmzZt8HiKLmmtW7eOW2+9lVdffZWpU6dyxRVX8MMPP+ByFYz7zCv05vn777857LDDihzlPW/ePPx+P0899VT+Pj788MOQP0dRunTpQkREBJs2bSp2AsbOnTvnT2x6YJwlOfroo2nZsiVTp07lm2++4cILL8z/s9yzZw+rVq3i1Vdf5dhjjwUotl92KF577TUyMzOLfb+oJwZCERkZSfPmzcnNzWXatGn5PdsPNHnyZBo1asTpp58e8n4/+ugjsrOzueyyywKWt23bliZNmvDjjz/So0cPwDzZMGvWLG644YZC+8nKymLkyJFMmTIFt9uNz+fLfzojNzcXn88XsP7SpUvzR/BL5dFIbxEp5J577iE5OZnnn3+eu+66i44dO3LVVVc5HZaIiIgcRDlbRKRmGjJkCBdddBGXXHIJEyZMYO7cufzzzz9Mnz6dgQMH8vPPPwPm5mfeKOGcnBy2bNnCwoULWbt2bbH7Hj16NDNmzGDDhg3Mnz+fn3/+mc6dOwMwatQoUlJSuPjii5k7dy5r1qzhnXfeYdWqVQDceeedPPbYY0ydOpVVq1YxduxYFi5cyC233BL08zzwwANMnDiR559/ntWrV7NkyRImT57M008/Xew2gwYNYtmyZQGjvUeOHMnevXu55JJLmDNnDuvWrWPGjBlceeWV+Hw+fD4fl112GYMGDeLKK69k8uTJLF68mKeeeipg35s2beK2225j1apVvP/++0yaNKnYz9ChQwdyc3OZNGkS69ev55133uGll14K+nlLEhcXxx133MGtt97KW2+9xbp165g/fz6TJk3Kn9zz+uuvZ82aNdx5552sWrWK9957jzfffDOk/Q8dOpSXXnqJ77//PuBGQ926dalfvz6vvPIKa9eu5aeffuK2224r8+do3rw5HTp0KPbVunXrUu1v1qxZfPLJJ6xfv56ZM2dy6qmn4vf7C00a6vf7mTx5MldccUWRNz8uv/xyxo0bV2j566+/zjnnnEP9+vUDlluWxejRo3n44Yf54osvWLJkCZdffjnNmjXjnHPOKbSfhx56iMGDB+cXsvv3788nn3zC4sWL+e9//1uoBdDMmTM55ZRTSnUupBw43FNcRKqYn3/+2fZ4PPbMmTPzl23YsMGOj4+3X3zxRQcjExERkQMpZ4uIVF8HTmRZHJ/PZ//vf/+z+/TpY0dHR9vx8fF2r1697Oeee87OyMiwbbtg0sGDXwMGDCh2v6NGjbLbt29vR0RE2A0bNrSHDRtm7969O//9RYsW2aeccoodHR1tx8XF2ccee6y9bt26/Jjuv/9+u3nz5nZYWJjdvXt3+5tvvsnfNi+eBQsWFDrulClT7B49etjh4eF23bp17eOOO87+5JNPgp6Dvn372i+99FLAstWrV9vnnnuuXadOHTsqKsru1KmTPXr0aNvv99sPPPCA3bRp04DPM23aNDs8PNxeuHChbdtmIssbb7zRvv766+34+Hi7bt269t133x0wseXBE1k+/fTTdtOmTe2oqCh70KBB9ttvvx0woWRRE1l27949IO5nnnnGbt26df7vfr/ffvbZZ+3DDz/cDgsLsxs2bGgPGjTI/vXXX/PX+fLLL+0OHTrYERER9rHHHmu/8cYbQSeyzLN8+XIbsFu3bh3wuWzbtr///nu7c+fOdkREhJ2UlGT/8ssvNmB/+umntm0H/zOsaL/88kt+bPXr17eHDRtW5CSVM2bMCJi89GADBgywr7jiioBlK1eutAH7u+++K3Ibv99v33fffXbjxo3tiIgI+6STTipy/0uWLLE7dOhgp6Wl5S/z+Xz2DTfcYMfHx9t9+vSx16xZk//en3/+adepUyf/36xUHsu2K3B2BBERERERERERkTL46quvuPPOO1m6dGlAe5JDcfzxx9OjRw+effbZctmfSDAXXXQR3bt35+6773Y6lFpHPb1FRERERERERKTKOf3001mzZg1btmyhZcuWTocjUio5OTkkJiZy6623Oh1KraSR3iIiIiIiIiIiUitopLdI7aCit4iIiIiIiIiIiIjUGOXTEElEREREREREREREpApQ0VtEREREREREREREagwVvUVERERERERERESkxlDRW0RERERERERERERqDBW9RURERERERERERKTGUNFbRERERERERERERGoMFb1FREREREREREREpMZQ0VtEREREREREREREaoz/A1SPx/v1wIDfAAAAAElFTkSuQmCC", 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tH8U4Mjc310sf6u0aOTMzEwsWLIC7uztGjRoF4OlRt+7Z04oVK9TWt7KyAqAuFppslJeXN6tjm0N9fjaFESNGoLi4GBs3blT77vHjx3j06NEztaspBa1r164AoLxkVQzGnJwcZR2ZTIYNGzY06oci31yfP7gSCAQICwvDDz/8gJKSEmV5QUEB0tLS9NYOAAQFBSEsLEy5KHa6V199FSUlJSopbJWVlVptk+YSHh4OGxsbLFy4ENXV1Wrf3759u8k2a6frAtwBXZEVVF/Kavfu3SGVSrFu3TqVOmlpaTh37lyTM0MAKK/0al/VXb16VausK000Ja4NGzaobM+kpCTU1NQo76No0p+qqiqsXbtWxU63bt3g7u6OFStWqI17xbpSqRR9+/bF+vXrcePGDTW/m9qHOp15p6WlIT8/HzU1Nbh16xYyMzORkZEBNzc37N69W3kjw8bGBn369MGSJUtQXV0NFxcX7N+/X+2oBQD+/v4AgE8++QRvvvkmzM3NMXjwYAwYMEB5FJ0wYQIePnyIjRs3QiqVatwAzxpPT0/Y2dlh3bp1sLa2hpWVFQICAuDu7q61jTFjxmDr1q2YOHEisrKyEBQUBJlMhvz8fGzduhXp6ekqP4LSt9358+cjJycHkZGRcHNzQ2lpKdauXQtXV1f06tULANCpUyf07NkTs2fPRllZGVq0aIHU1FTU1NQ06oeFhQU6duyILVu24KWXXkKLFi3g4+PT7Oe+JCQkYP/+/QgKCsKkSZMgk8mwevVq+Pj4aPWDm/LycqxatQoAlGmRq1evhp2dHezs7DB16tQG14+NjcXq1asxduxYHD9+HE5OTkhJSTHIj6NsbGyQlJSEMWPGoFu3bnjzzTfh4OCAa9euYe/evQgKCsLq1aubZPOdd95BWVkZQkJC4OrqisLCQqxatQpdu3at9xeo5ubmWLx4MWJiYhAcHIyRI0cqUwXbtWuH9957r8mxRUZGYtmyZYiIiMBbb72F0tJSrFmzBl5eXjr9YrspcVVVVSE0NBQjRozA+fPnsXbtWvTq1QtRUVEAuDRge3t7jBs3Du+++y54PB5SUlLUTkj5fD6SkpIwePBgdO3aFTExMXByckJ+fj7y8vKQnp4OAFizZg169eoFX19fxMbGwsPDA7du3cKRI0dQVFSE06dPax9oU1JTFOk1ikUoFJKjoyP179+fVq5cSRUVFWrrFBUV0ZAhQ8jOzo5sbW1p+PDhVFJSojGVbMGCBeTi4kJ8Pl8ljWv37t3UuXNnEovF1K5dO1q8eDF98803WqV61ZeaNmXKFLW62qQhERHt2rWLOnbsqExRU6QNBgcHU6dOndTq100bI+JSoRYvXkydOnUikUhE9vb25O/vT4mJiVReXt5g+/W1o63dAwcO0GuvvUbOzs4kFArJ2dmZRo4cSRcuXFCxdenSJQoLCyORSEStW7emOXPmUEZGRqNpcUREhw8fJn9/fxIKhSp93dz+OHDgAPn5+ZFQKCRPT0/6+uuv6YMPPiCxWNzgNiN6mq6naanrf30UFhZSVFQUWVpaUqtWrWj69On0008/aZ0q+MUXX6jYU6Tibdu2TaW8vrTcrKwsCg8PJ1tbWxKLxeTp6Unjx4+nY8eOqbRtZWWl5nvdbb99+3YaMGAASaVSEgqF1LZtW5owYQLduHFDzb/asRERbdmyhfz8/EgkElGLFi1o1KhRVFRUpFJHWz+IiP79739T+/btSSQSkbe3NyUnJ2usp80+qk1ciu178OBBiouLI3t7e5JIJDRq1Ci6e/euir3c3Fzq2bMnWVhYkLOzM82cOZPS09M1bpdDhw5R//79ydramqysrKhz585q6ceXLl2isWPHkqOjI5mbm5OLiwsNGjSItm/f3mBcdeERGeGOEIOhR6Kjo5GXl6fxXgqDoQnFD42OHj2q01Xu88AL/0hYxotF3YdaXbx4Efv27UPfvn2N4xCDYSRe/Cc2MV4oPDw8lM/KKSwsRFJSEoRCIWbOnGls1xgMg8LEm2FSRERE4Pvvv8fNmzchEonwj3/8AwsXLlT7sQWD8aLD5rwZDAbDBGFz3gwGg2GCMPFmMBgME8Tgc95yuRwlJSWwtrZ+4f6IlsFg/D0hIjx48ADOzs4Ge7ibwcW7pKREqwcvMRgMhqlx/fp1uLq6GqQtg4u34m+orl+/rvYYSwaDwTBFKioq0KZNm2b/zV5TMLh4K6ZKbGxsmHgzGIwXCkNOBbMblgwGg2GCMPFmMBgME4SJN4PBYJggTLwZDAbDBGHizWAwGCYIE28Gg8EwQZh4MxgMhgnCxJvBYDBMECbeDAaDYYIw8WYwGAwThIk3g8FgmCDGE+8+fYDPPgNKS+uvc+wYMHIk0Lo1YGEBWFkBdnaAuzvwz38Cx48DRMBPPwHR0UCHDkBgILBmDfDgAWejrIyra20NCASAmRkglQI9ewItWgBCIWBpCTg6Ag4OXDvm5oBIBEgk3PcCwdN17ewAGxuuXCzm1nF3B9zcuHV4vKcLn8+tV7uMx+PWi4kBhg7lYuLzny6KtmrXFwgAW1uuzbq26tYTCrlYbW01t1vXNp/PxVXXjrk5V67wh89/Wl9T25aW3HaxtgbatgWCgoCOHQEfH2DiROCPP7g+WbuW66MOHbg+S0vDvdyzOB44DQUWvsgXd8GejjNxbNsVzWOivBz49FPAyQkQiyGT2OKkx1AM9MiHiwvQu/UF7LQeiwphS8iEYlTbO+AX71hEvHQZXboAn3wCXL8OnD0LDBzIdbG5ObfZ6m4GMzOumTfeAEaNAnx9Ab9OVVjaJQXHbENwWeSNYy0H4Le310E2/A0ufpEIVS0dsatrPNq7VcHW9ulmV3SvVArExwMFBcCECUCrVlydli25YfHaa+q+1O0yTV3fsye3K6xYAbRrx8VVu/vMzLjhamen2a5iqNfdBiKR6i5Q3xCoO3TqfufoyHW5tze3DRwcgJdeAkaPBvz8VO2amQH9+wP//jcQEcH5bGHBvUql3HtFXEIhZzs2FjhzRvOwycvj7CnWEwoBV1dg7FiuXxVxiURAZCRw+bJmO9euATNnckPcygqwt+eG886djQneM4AMTHl5OQGgcoCIzyeytSX67Tf1ip9/TsRJs+aFx+Neu3ThXs3MnpbzeERubkQ//0wkEjVshy3PflH0TcuWT/unVrkMoCoIlPWrIaAnMKfkIbtILq81Ji5cILKz09iGDDxag4lUAz7J63wn/8v+a/gfCQRE5ua6hWGLe/QbuhMBVAP+X77yVNqp/VoMJ7LBPaNv/r/TwuMRJSWpSklysm52du5UtZOW1pCc/KVr5eV61cuGgMFa+gsV8QaIBAJup3748GmlvXub34tmZtzBwdijiS2NLnXFlsCJ8Z8Q0v9WXOXGhEzGHZAbsCGvx5bi+ycwo3a4rLOrWzCMqmsdZLRZfkGgsTfv327h8YgOH+aGzY0bT88Vmrrw+USXLnF2SkqIxOKG6htevI0/5y2TAXfvAt9//7Rs6VLu2qk51NQAcnnzbDAMgqae5oMggAxlnydxBenpQGFhozbqGzU8AGaQYRKSdPKxDa5hGHbADLImrReEw3BGsU5tMnSDz+emjgBg1ixOWnVBLudm+QBg40agqkov7ukN44s3wE1CZWVx74mAnBzdtzjjhcEMMnS5ncHdvlCMjwZo7HDPB6E/MnTypTd+AR9NH5M8AKH4Wac2GbohkwE//7XJs7ObZ2v/fu41I+P5Oxd8PsQbUBVrJtyMv+CBuOGgpzHBh257IE8H4W5umwzdUQyX5g4bhWA/j5L0fIi3XA707s295/G427fsz4n/9tRAgN9b9IONDZ6OjwZobP+SgYdMhOjky2EEQt7oub1mn7J0bJOhGwIBEBzMvQ8MbJ6t0FDutW9fbjrmucJgs+t/oXbDks8nsrEhqqh4WmnnzubftRAIdL9TwRajLzJwWSdbPr/IjYmaGiJn5wbXqe9mpeK7avCpPc7r7NZuDFLJitFmOYZuxt6Uf8slO5sbNteuNc9Ofv5TOw1nKf3dsk0EAiJLS6KDB1UryeVEH3/c8FZVCLOXF/cqqLVT8flEjo5EO3Y8TVNji/EWRR9YW6tmANXqs9qiWAUzqoaANob8VzVV8PffiaysNLYhB+g7jNSYcSIHl73yFr5rVhJSK5TSGXQgGXgk+ytFsAbqWS6K93dgTy1w2+ib/++2LFmiKicrV+pm5z//UbXTsJz8ncTbw4No5kyiq1frr3zgAFF4OLfTm5lxhz6xmKhVK6KhQ4mysrgzstRUon79uDOzjh2JFi0iunOHs1FURDRkCJFQyG1lHo9IIiHy9iaysOD2ZHNz7uzfyop7z+Nx5UKh+tm7SMT5wOdz4mNtzaU6tmypegBpaOHziQYPJgoO1j7pWCjUTnV4PK6uIt7aS33+abpCaepVi5nZ03bt7Yl8fYlcXYnatCEaOZIoN5frk0WLiDp14vqqb1+i1FS6+cMROuE7horN2tA1QTva13YCHVzzh6pwK7h5k2jyZO73AQIByYQiOtO6H4W3Okp2dkTB1scpTTiYKvlWJOMLqFpsRb+6vk5hrX8nd3eiqVOJzp3jUsn+8Q/ObR5P84Uaj8d1b//+RK++StS2LdFLLg9pqcca+kPsTzf4zvSH1Sv0f1GfUU3oAG5s8PlUZWVLez2mkKv9QxKJ1De7REI0bRrRsWNEw4dzw04g4F4HD+b80kVsXn6ZaPNmorlziRwcnsZT+1UiaSzlTX0bNOVgp0jj1zR8bGyIevUicnLi/LC2Jmrdmtu2Hh7qdvz9if71L6KAAM5ngYDbZSUSVRHl8zlbw4Y9TRGsy6FDnB1FP/P53E8GIiOJ2rV76i+fTxQYyJ0naOLcOaK4OG53V8hRx45EX31lePHmEREZcpqmoqICtra2KC8vZ/8ez2AwXgiMoWvP2xQ8g8FgMLSAiTeDwWCYIEy8GQwGwwRh4s1gMBgmCBNvBoPBMEGYeDMYDIYJwsSbwWAwTBAm3gw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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "num_points = 100\n", "\n", "# สร้างจุดขึ้นมาเป็นจำนวน num_points จุด ซึ่งมาจาก multi-variate normal distribution สำหรับ class 1\n", "data_class1 = multivariate_normal(mean=[-2, -2], cov=[[1.5, 1], [1, 1]], size=num_points)\n", "\n", "# สร้างจุดขึ้นมาเป็นจำนวน num_points จุด ซึ่งมาจาก multi-variate normal distribution สำหรับ class 2\n", "data_class2 = multivariate_normal(mean=[2, 2], cov=[[1.5, 1], [1, 1]], size=num_points)\n", "\n", "# รวมข้อมูลจากทั้ง 2 class มาเก็บไว้ในตัวแปร data และเก็บ label (class) เอาไว้ในตัวแปรชื่อ labels\n", "data = np.concatenate((data_class1, data_class2), axis=0)\n", "labels = np.zeros(num_points*2, )\n", "labels[num_points:] = 1\n", "\n", "# สร้าง PCA สำหรับตัวอย่างนี้เราจะไม่ whiten ข้อมูลของเรา โดยการกำหนด whiten=False แต่ในการใช้งานจริง การทำ whitening เป็นสิ่งที่ค่อนข้างมีความสำคัญมาก\n", "model_PCA = PCA(n_components=2, whiten=False)\n", "\n", "# การทำ PCA เราไม่ใช้ข้อมูลว่าจุดข้อมูลไหนมาจาก class ไหนเลย (หรืออาจมองว่า PCA มองทุกจุดเป็นสีเดียวกันก็ได้)\n", "model_PCA.fit(data)\n", "\n", "# ดึงเอา principal component (pc) ออกมา\n", "pc1 = model_PCA.components_[0]\n", "pc2 = model_PCA.components_[1]\n", "\n", "# คำนวณหาความชันของเส้นตรงที่วิ่งผ่านจุด (0,0) และว่ิงไปในทิศทางเดียวกับ principal component -> y = m*x\n", "m_pc1 = pc1[1]/pc1[0]\n", "m_pc2 = pc2[1]/pc2[0]\n", "\n", "# คำนวณพิกัดใหม่ของทุกจุดข้อมูล\n", "data_pca = model_PCA.transform(data)\n", "\n", "# เตรียมแสดงผล\n", "x_disp = [-6.0, 6.0] # ค่าต่ำสูงและสูงสุดของ x สำหรับแสดงผล\n", "y_disp = [-6.0, 6.0] # ค่าต่ำสูงและสูงสุดของ y สำหรับแสดงผล\n", "\n", "# ใช้สีน้ำเงินสำหรับแสดงจุดข้อมูลที่มาจาก class 1 (label=0) และใช้สีแดงสำหรับแสดงจุดข้อมูลที่มาจาก class 2 (label=1)\n", "cmap = colors.ListedColormap([\"blue\",\"red\"])\n", "\n", "fig, ax = plt.subplots(1, 3, figsize=(18, 6))\n", "\n", "# แสดงรูปข้อมูลเริ่มต้น\n", "ax[0].scatter(data[:, 0], data[:, 1], c=labels, cmap=cmap)\n", "ax[0].plot([0, 0], y_disp, c=\"grey\") # Plot แกน y\n", "ax[0].plot(x_disp, [0, 0], c=\"grey\") # Plot แกน x\n", "ax[0].set(xlabel='x', ylabel='y')\n", "ax[0].set_title(\"Original data\")\n", "\n", "# แสดงรูปข้อมูลเริ่มต้นโดยมี principal component ทั้ง 2 อันแสดงอยู่ด้วย\n", "ax[1].scatter(data[:, 0], data[:, 1], c=labels, cmap=cmap)\n", "ax[1].plot(x_disp, [m_pc1*x_disp[0], m_pc1*x_disp[1]], c=\"m\", alpha=1) # แสดง pc1 โดยใช้สมการ y = m1*x\n", "ax[1].plot(x_disp, [m_pc2*x_disp[0], m_pc2*x_disp[1]], c=\"m\", alpha=0.3) # แสดง pc2 โดยใช้สมการ y = m2*x\n", "ax[1].set(xlabel='x', ylabel='y')\n", "ax[1].set_title(\"Original data with the principal components shown\")\n", "\n", "# แสดงข้อมูลหลังถูก transform ด้วย PCA (หน้าตาจะเหมือนกับรูปที่แล้ว แต่มีการหมุนแกน)\n", "ax[2].scatter(data_pca[:, 0], data_pca[:, 1], c=labels, cmap=cmap)\n", "ax[2].plot(x_disp, [0, 0], c=\"m\", alpha=1) # แสดงผลโดยการหมุนแกน pc1 ให้มาอยู่ที่ตำแหน่งแกน x\n", "ax[2].plot([0, 0], y_disp, c=\"m\", alpha=0.3) # แสดงผลโดยการหมุนแกน pc2 ให้มาอยู่ที่ตำแหน่งแกน y\n", "ax[2].set(xlabel=f\"PC1 score (explained var = {model_PCA.explained_variance_ratio_[0]*100: 0.2f}%)\",\n", " ylabel=f\"PC2 score (explained var = {model_PCA.explained_variance_ratio_[1]*100: 0.2f}%)\")\n", "ax[2].set_title(\"PCA-tranformed data\")\n", "\n", "plt.setp(ax, xlim=x_disp, ylim=y_disp)\n", "plt.show()\n", "\n", "\n", "# Plot ข้อมูลที่ลดมิติโดยการตัดแกน PC2 ทิ้งไป\n", "plt.figure(figsize=(4, 0.5))\n", "plt.scatter(data_pca[:, 0], np.zeros_like(data_pca[:, 0]), c=labels, cmap=cmap)\n", "ax[2].plot(x_disp, [0, 0], c=\"m\", alpha=1) # แสดงผลโดยการหมุนแกน pc1 ให้มาอยู่ที่ตำแหน่งแกน x\n", "plt.xlim(x_disp)\n", "plt.ylim(-0.5, 0.5)\n", "plt.title(\"Data in the resulting 1-dimensional space\")\n", "plt.yticks([])\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "colab": { "base_uri": "https://localhost:8080/" }, "id": "POwz0jOrOKLe", "outputId": "69a5cd59-8ccb-433b-a4e6-5b40fbb40b44" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "% variance captured by PC1 = 97.70\n", "% variance captured by PC2 = 2.30\n" ] } ], "source": [ "print(f\"% variance captured by PC1 = {model_PCA.explained_variance_ratio_[0]*100: 0.2f}\")\n", "print(f\"% variance captured by PC2 = {model_PCA.explained_variance_ratio_[1]*100: 0.2f}\")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "xxEtM8TUJ6i4" }, "source": [ "ในกรณีนี้ ถึงแม้ว่าเทคนิค PCA จะ transform ข้อมูลโดยที่ไม่ได้นำเอาข้อมูลว่าแต่ละจุดมาจาก class ไหนเลย\n", "เทคนิค PCA ยังสามารถใช้ลดมิติของข้อมูลได้โดยการตัดแกน PC2 (แกนสีชมพูอ่อน) ทิ้ง โดยที่ยังสามารถแยกกลุ่มข้อมูลทั้งสองกลุ่ม (สีแดง และ สีน้ำเงิน) ได้เป็นอย่างดี ผ่านการดูแค่ค่า PC1 score เท่านั้น\n", "\n", "

\n", "\n", "---\n", "\n", "หลายตัวอย่างที่ผ่านมาเราได้เห็นแล้วว่า PCA จะทำหน้าที่หาแกน PC ออกมา โดยสามารถหาแกนมาได้ทั้งหมดเป็นจำนวนเท่ากับจำนวนมิติตั้งต้น เรามักจะเรียก PC ที่สามารถอธิบาย variance ของข้อมูลได้มากที่สุดว่า PC1 และเรียกตัวถัด ๆ ไปเรียงตามความสามารถในการอธิบาย variance เช่น ถ้าเรามีข้อมูลใน 4 มิติ เราก็จะมี PC1, PC2, PC3 และ PC4 ที่อธิบาย variance ของข้อมูลได้จากมากไปน้อย แล้วถ้าเราต้องการลดจำนวนมิติของข้อมูลลงให้เหลือ 2 มิติ เราก็อาจจะเลือกใช้ PC แค่ 2 ตัว เช่น เก็บแค่ PC1 score และ PC2 score (กำจัด PC3 และ PC4)\n", "\n", "**หมายเหตุ** เราสามารถใช้เทคนิค PCA ได้กับข้อมูลหลากหลายประเภท เช่น ในกรณีที่เรามีข้อมูลที่เป็นรูปภาพขนาด 128 x 128 เราก็สามารถมองได้ว่าแต่ละภาพคือ vector ที่มีขนาด 128 x 128 = 16,384 ถ้าหากเราใช้ค่าของแต่ละ pixel เป็น feature ข้อมูลของเราก็จะเป็นจุดข้อมูลที่อยู่ใน space ที่มีขนาด 16,384 มิติ เราสามารถทดลองใช้ PCA ในการลดมิติได้ในลักษณะเดียวกับตัวอย่างที่ผ่าน ๆ มาได้" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**ผู้จัดเตรียม code ใน 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