{"cells":[{"cell_type":"markdown","metadata":{"id":"PRQWzo8DAbNt"},"source":["# Logistic Regression"]},{"cell_type":"markdown","metadata":{"id":"5OtTMUf8c2ih"},"source":["\n","\n","[Slides: Logistic Regression](https://github.com/ichatnun/brainCodeCamp2023_lectures/blob/main/MachineLearning/machine_learning_logistic_regression.pdf)\n","\n","
\n","\n","ก่อนหน้านี้ เราได้เรียนรู้ Simple Linear Model ในสัปดาห์ที่ 3 ทำให้เราสามารถพัฒนาโมเดลเชิงเส้น (linear model) เพื่อทำนายค่า $y$ โดยเรียนรู้จากชุดข้อมูลที่มีโดยไม่จำกัดค่าที่เป็นไปได้ของค่า $y$ ในกรณีที่ชุดข้อมูลประกอบด้วย 1 feature คือ $x$ เราสามารถเขียนสมการของความสัมพันธ์เชิงเส้นได้เป็น\n","\n","\n","$$y = w_0 + w_1x$$\n","\n","\n","โดยที่ $w_0$ และ $w_1$ คือ พารามิเตอร์ของโมเดลเชิงเส้น\n","\n","อย่างไรก็ดี มีโจทย์อีกประเภทหนึ่ง คือ classification problem หรือ ปัญหาการจำแนกหมวดหมู่ ซึ่ง $y$ เป็น label ของหมวดหมู่ (class) โดยมักแทนด้วยตัวเลข (เช่น จำนวนเต็ม) เพื่อให้สามารถทำงานกับระบบคำนวณของคอมพิวเตอร์ได้\n","\n","ในกรณีที่ชุดข้อมูลประกอบด้วย 2 classes หรือ binary classification เรามักกำหนดให้ค่า $y$ มีค่าเป็น 0 หรือ 1 แทน label ของแต่ละ class เช่น\n","การใช้เลข 0 แทน class แรก และตัวเลข 1 แทน class ที่สอง\n"," \n","การนำเอา linear model ตามสมการด้านบนมาใช้ทำนายค่า $y$ ในโจทย์ประเภทนี้จะไม่เหมาะนัก เนื่องจาก linear model นั้นให้ค่า $y$ ได้ตั้งแต่ $-∞$ ไปจนถึง $+∞$ ในขณะที่เราต้องการค่า $y$ ที่เป็น 0 หรือ 1 เท่านั้น\n","\n","วิธีหนึ่งที่เราสามารถใช้ในการแก้ปัญหาตรงนี้ก็คือการนำเอาฟังก์ชันทางคณิตศาสตร์มาใช้แปลงค่า $y$ ที่เราได้รับมาจากสมการ $y = w_0 + w_1x$ ให้มีค่าอยู่ระหว่าง 0 กับ 1 ได้ หนึ่งในฟังก์ชันที่มีคุณสมบัติดังกล่าว คือ logistic function หรือ sigmoid function ซึ่งมีสมการทางคณิตศาสตร์ ดังนี้\n","\n","\n","$$\n","g(x) = \\frac{1}{1 + e^{-x}}\n","$$"]},{"cell_type":"code","execution_count":1,"metadata":{"executionInfo":{"elapsed":907,"status":"ok","timestamp":1692639014011,"user":{"displayName":"Itthi Chatnuntawech","userId":"06267664527776052880"},"user_tz":-420},"id":"1vnHr9cvil3s"},"outputs":[],"source":["import numpy as np\n","import matplotlib.pyplot as plt\n","from matplotlib import colors\n","from sklearn.linear_model import LogisticRegression\n","from sklearn.inspection import DecisionBoundaryDisplay\n","from sklearn.model_selection import train_test_split\n","from sklearn.model_selection import StratifiedKFold, KFold\n","from sklearn.model_selection import GridSearchCV\n","from sklearn.preprocessing import StandardScaler\n","from sklearn.metrics import accuracy_score, classification_report, confusion_matrix, ConfusionMatrixDisplay\n","\n","# ตั้งค่า random seed สำหรับการทำซ้ำ (reproducibility)\n","RANDOM_SEED = 2566"]},{"cell_type":"code","execution_count":2,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":507},"executionInfo":{"elapsed":23,"status":"ok","timestamp":1692639014012,"user":{"displayName":"Itthi Chatnuntawech","userId":"06267664527776052880"},"user_tz":-420},"id":"wYgGnCf1W6ey","outputId":"c69c7695-cbae-4634-f9a9-93bca611b0db"},"outputs":[{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"}],"source":["def sigmoid_function(x):\n"," return 1 / (1 + np.exp(-x))\n","\n","# คำนวณค่า sigmoid function ด้วยช่วงค่า x ที่กำหนด\n","x = np.linspace(-10, 10, 100)\n","sig = sigmoid_function(x)\n","\n","# plot sigmoid function\n","plt.figure(figsize = (5,5))\n","plt.plot(x, sig, 'b')\n","\n","plt.grid()\n","plt.xlabel('$x$')\n","plt.ylabel('$g(x)$')\n","plt.title('Logistic Function or Sigmoid Function')\n","plt.tight_layout()\n","plt.show()"]},{"cell_type":"markdown","metadata":{"id":"IQInaUmqKj4W"},"source":["จะเห็นได้ว่า logistic function มีค่าในช่วง 0 ถึง 1 เสมอ ดังนั้นสิ่งที่เราทำได้ก็คือเปลี่ยนจากการให้ตัวโมเดล output ค่า $w_0 + w_1x$ ซึ่งมีค่าจาก $-∞$ ไปจนถึง $+∞$ ไปเป็นการ output ค่า $g(w_0 + w_1x)$ ซึ่งมีค่ามากกว่าหรือเท่ากับ 0 แต่น้อยกว่าหรือเท่ากับ 1 แทน\n","\n","หากเรากำหนดให้ ค่า $y=0$ แทน class 0 และ ค่า $y=1$ แทน class 1 เราอาจจะตีความ output ใหม่ของโมเดล $g(w_0 + w_1x)$ เป็นค่าความน่าจะเป็นที่จุดข้อมูล $x$ ของเราเป็น class 1 โดยสามารถเขียนเป็นสมการทางคณิตศาสตร์ได้เป็น\n","\n","\n","$$\n","P(\\text{class 1}| x) = y = g(w_0 + w_1x) = \\frac{1}{1 + e^{-(w_0+w_1x)}}\n","$$\n","\n","\n","อ้างอิงจากสมการนี้ จะพบว่าโมเดลจะ output ค่า $y$ ออกมา ซึ่งค่า $y$ นี้จะแสดงถึงความน่าจะเป็นที่จุดข้อมูลที่ใส่เข้ามาในโมเดลจะเป็น class 1 เราสามารถกำหนดเงื่อนไขของการตัดสินใจว่าจุดข้อมูลที่เรานำมาทดสอบเป็น class ใด โดยการใช้เทียบดูว่า ค่า $y$ ซึ่งเป็น output ของโมเดล มีค่าน้อยกว่า 0.5 หรือไม่\n","\n","- $y ≥ 0.5 →$ จุดข้อมูลดังกล่าวเป็น class 1\n","- $y < 0.5 →$ จุดข้อมูลดังกล่าวเป็น class 2\n","\n","ในที่นี้บริเวณที่เกิดค่าความน่าจะเป็นที่ 0.5 จะเป็นบริเวณที่เกิด decision boundary ขึ้น\n","\n","\n","โมเดล logistic จะเรียนรู้จากชุดข้อมูล โดยปรับค่าพารามิเตอร์ของโมเดล $w_0$ และ $w_1$ เพื่อให้ค่า $y$ ที่ทำนายออกมามีความคลาดเคลื่อนจากค่า $y$ ที่เป็นผลเฉลยของชุดข้อมูลน้อยที่สุด\n","\n","

\n"]},{"cell_type":"markdown","metadata":{"id":"Uj8oj4He_pF-"},"source":["---\n","\n","**Optional: ข้อมูลทางเทคนิคเพิ่มเติมสำหรับผู้ที่สนใจ**\n","\n","
\n","\n","**ข้อแรก**\n","\n","หากเราโยกย้ายพจน์ต่าง ๆ ในสมการ\n","\n","\n","$$ P(\\text{class 1}| x) = \\frac{1}{1 + e^{-(w_0+w_1x)}} $$\n","\n","เราสามารถแสดงได้ว่า\n","\n","$$\n","log\\left(\\frac{P(\\text{class 1}| x)}{1-P(\\text{class 1}| x)}\\right) = w_0+w_1x\n","$$\n","\n","พจน์ด้านซ้ายมือมีชื่อเรียกว่า **log-odds** ซึ่งเป็นค่า log ของ *ความน่าจะเป็นที่เป็น class 1* หารด้วย *ความน่าจะเป็นที่ไม่เป็น class 1*\n","\n","เราจะเห็นได้ว่า logistic regression สร้างแบบจำลองโดยการกำหนดให้ log-odds เป็นฟังก์ชัน linear\n","\n","เรามาลองดูคุณสมบัติของ log-odds กันนิดนึงดีกว่า\n","* ถ้า $P(\\text{class 1}| x) → 0$ (ความน่าจะเป็นที่เป็น class 1 มีค่าเข้าใกล้ 0) จะพบว่าค่า\n","$\n","log\\left(\\frac{P(\\text{class 1}| x)}{1-P(\\text{class 1}| x)}\\right) → -∞\n","$\n","\n","* ถ้า $P(\\text{class 1}| x) → 1$ (ความน่าจะเป็นที่เป็น class 1 มีค่าเข้าใกล้ 1) จะพบว่าค่า\n","$\n","log\\left(\\frac{P(\\text{class 1}| x)}{1-P(\\text{class 1}| x)}\\right) → +∞\n","$\n","\n","จะเห็นได้ว่าค่า log-odds นั้นมีค่าที่เป็นไปได้ระหว่าง -∞ ถึง +∞ ซึ่งจะไม่ขัดแย้งกับค่าที่เป็นไปได้ของสมการ $w_0+w_1x$ ที่เราใช้สำหรับโมเดลตัว log-odds เลย\n","\n","จากข้อสังเกตนี้ เราเห็นได้ว่าจริง ๆ แล้ว logistic regression นั้น มีความเกี่ยวข้องกับ linear regression ค่อนข้างมาก ซึ่งเราสามารถมองได้ว่า logistic regression ก็คล้าย ๆ กับการนำเอา linear regression มาใช้งาน แต่เราตีความ output ที่ออกมาว่าเป็น log-odds\n","\n","
\n","\n","**ข้อที่สอง**\n","\n","ในการตัดสินใจว่าจุดข้อมูล $x$ มีเป็น class 1 เราใช้เงื่อนไข\n","\n","\n","$$ y = \\frac{1}{1 + e^{-(w_0+w_1x)}} ≥ 0.5 $$\n","\n","\n","เรามาลองโยกย้ายสมการกันดู\n","\n","\n","$$\n","\\begin{align}\n","\\frac{1}{1 + e^{-(w_0+w_1x)}} &≥ \\frac{1}{2} \\\\ \\\\\n","2 &≥ 1 + e^{-(w_0+w_1x)} \\\\ \\\\\n","1 &≥ e^{-(w_0+w_1x)} \\\\ \\\\\n","ln(1) &≥ ln(e^{-(w_0+w_1x)}) \\\\ \\\\\n","0 &≥ -(w_0+w_1x) \\\\ \\\\\n","w_0+w_1x &≥ 0\\\\\n","\\end{align}\n","$$\n","\n","ซึ่งแปลว่า\n","\n","* $y ≥ 0.5 ⟷ w_0+w_1x ≥ 0$\n","* $y ≤ 0.5 ⟷ w_0+w_1x ≤ 0$\n","\n","ดังนั้นเราจะได้เงื่อนไขในการแบ่งคลาสในอีกรูปแบบหนึ่ง ก็คือ\n","\n","- $w_0+w_1x ≥ 0 →$ จุดข้อมูลดังกล่าวเป็น class 1\n","- $w_0+w_1x ≤ 0 →$ จุดข้อมูลดังกล่าวเป็น class 2\n","\n","ซึ่งเป็นอสมการแบบ linear\n","\n","เราจะได้เห็นจากหลาย ๆ ตัวอย่างใน tutorial นี้ว่า decision boundary ก็มีลักษณะเป็นเส้นตรงจริง ๆ\n","\n","---"]},{"cell_type":"markdown","metadata":{"id":"Lkp_BKRE_ssQ"},"source":["

\n","ใน tutorial นี้เราจะเรียนรู้การทำงานของ logistic regression ผ่านการเรียกใช้ `LogisticRegression` จากไลบรารี่ `scikit-learn` ที่จะแสดงต่อไป."]},{"cell_type":"markdown","metadata":{"id":"uiwitRiJkAGH"},"source":["## Generate Simulated Dataset\n","เพื่อเปรียบเทียบการทำงานของ Linear regression และ Logistic regression เราจะลองสร้างชุดข้อมูลที่ประกอบไปด้วย จำนวน 100 จุด $(x_1,y_1), (x_2,y_2), ..., (x_i,y_i),.., (x_{100},y_{100})$\n","\n","โดย $y$ มีค่า 0 หรือ 1 (2-class dataset for binary classification) และแต่ละคลาสมีจำนวนข้อมูลเท่ากันที่จำนวน 50 จุด"]},{"cell_type":"code","execution_count":3,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":507},"executionInfo":{"elapsed":19,"status":"ok","timestamp":1692639014013,"user":{"displayName":"Itthi Chatnuntawech","userId":"06267664527776052880"},"user_tz":-420},"id":"HTSiz4GCS7gH","outputId":"6f746577-55e4-49f7-cafe-4b3133caf21a"},"outputs":[{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"}],"source":["def generate_multi_class_dataset(n_classes, n_features, mean_class, std_class,n_samples):\n"," # สร้างชุดข้อมูลแบบ multi-class\n"," # ตั้งค่า random seed เพื่อให้สามารถสร้างชุดข้อมูลเดิมทุกครั้ง เพื่อใช้สำหรับการสอน\n"," np.random.seed(RANDOM_SEED)\n","\n"," # สร้างข้อมูล x สำหรับแต่ละคลาส\n"," x_data = []\n"," for label in range(n_classes):\n"," _ = np.random.normal(mean_class[label], std_class[label], (n_samples, n_features))\n"," x_data.append(_)\n","\n"," # สร้างข้อมูล y หรือ labels สำหรับแต่ละคลาส\n"," y_data = []\n"," y_data.append(np.zeros(n_samples))\n"," for label in range(1, n_classes):\n"," y_data.append(label*np.ones(n_samples))\n","\n"," # รวมข้อมูล x และ y จากทุกคลาส\n"," x = np.vstack((x_data))\n"," y = np.hstack(y_data)\n","\n"," return x, y\n","\n","# ทดลองสร้างข้อมูลโดยการเรียกใช้ generate_multi_class_dataset\n","# กำหนด จำนวนคลาส\n","n_classes = 2\n","\n","# กำหนด จำนวน features\n","n_features = 1\n","\n","# กำหนดค่า Mean และ standard deviation สำหรับแต่ละคลาส\n","mean_class = [-2, 2]\n","std_class = [1, 1.5]\n","\n","# กำหนดจำนวนข้อมูล สำหรับแต่ละคลาส (รวม 100 จุด)\n","n_samples = 50\n","\n","# ทำการสร้างชุดข้อมูล\n","x,y = generate_multi_class_dataset(n_classes, n_features, mean_class, std_class,n_samples)\n","\n","# Plot ข้อมูล x, y ที่มีสร้างขึ้น\n","plt.figure(figsize = (5,5))\n","plt.scatter(x, y, c='k')\n","plt.grid()\n","plt.ylabel('y')\n","plt.xlabel('x or Feature')\n","plt.title('Simulated Data for Binary Classification')\n","plt.tight_layout()\n","plt.show()"]},{"cell_type":"markdown","metadata":{"id":"_yyIVb1KWpLo"},"source":["เราจะลอง fit ข้อมูลชุดนี้ ด้วย [Linear regression](https://scikit-learn.org/stable/modules/generated/sklearn.linear_model.LinearRegression.html) และ [Logistic Regression](https://scikit-learn.org/stable/modules/generated/sklearn.linear_model.LogisticRegression.html) จากไลบรารี่ `scikit-learn`"]},{"cell_type":"code","execution_count":4,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":478},"executionInfo":{"elapsed":725,"status":"ok","timestamp":1692639014722,"user":{"displayName":"Itthi Chatnuntawech","userId":"06267664527776052880"},"user_tz":-420},"id":"8zYudCewWht9","outputId":"80e39a43-da17-4336-9130-064f6028a312"},"outputs":[{"name":"stdout","output_type":"stream","text":["Linear model: R2 = 0.71\n","Linear regression: y(x) = x*0.18 + 0.54\n","Logistic model: accuracy = 0.95\n","Logistic regression: probability function P(x) = g(x*2.31 + 1.08)\n"]},{"data":{"image/png":"iVBORw0KGgoAAAANSUhEUgAAAxUAAAGGCAYAAAANcKzOAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjcuMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/bCgiHAAAACXBIWXMAAA9hAAAPYQGoP6dpAADWLklEQVR4nOzdd3hT1RvA8W+S7tJSRhe0DEGRPWUjQ6AM+YGCgosyRGUoG0VlIxUBQRDFBThQERkuBAqCyBBkCwKykdGyWzroSM7vj9OEhrbQQtt0vJ/nyZPce8+99z1JetNzzzIopRRCCCGEEEIIcZeMjg5ACCGEEEIIkb9JoUIIIYQQQghxT6RQIYQQQgghhLgnUqgQQgghhBBC3BMpVAghhBBCCCHuiRQqhBBCCCGEEPdEChVCCCGEEEKIeyKFCiGEEEIIIcQ9kUKFEEIIIYQQ4p5IoULkaydPnsRgMLBw4UJHhyLuQa9evShXrpyjwxBCFHAtWrSgRYsW2Xa8cuXK0atXr2w7ngCDwcD48eMdHYa4C1KoEHnWwoULMRgM7Nixw9Gh5Jjx48djMBhsD2dnZ8qVK8crr7zCtWvXHB2eEELkiPx0fd+yZQvjx4/P8WtyuXLl7H4PPD09qV+/Pl988UWOnleI7OLk6ACEuBdly5YlPj4eZ2dnR4dyTz788EOKFClCbGws69atY86cOezatYtNmzY5OrRc8cknn2CxWBwdhhCigFuzZk2W99myZQsTJkygV69e+Pj42G07fPgwRmP23Z+tVasWw4cPB+D8+fN8+umnhIaGkpCQQL9+/bLtPHlZfHw8Tk7y72l+JJ+ayNcMBgNubm6ODuO24uLi8PDwuG2abt26UbJkSQBefPFFevToweLFi9m+fTv169fPjTABsFgsJCYm5vp7mt8LhUKI/MHFxSVbj+fq6pqtxytdujTPPvusbblXr17cd999zJw5M9cLFbGxsXh6eubqOYE8/5suMibNn0S+ll6fil69elGkSBHOnj1Lly5dKFKkCL6+vowYMQKz2Wy3v8ViYdasWVStWhU3Nzf8/f158cUXuXr1ql26H374gY4dO1KqVClcXV2pUKECkyZNSnO8Fi1aUK1aNXbu3MnDDz+Mh4cHr7/+epbz1axZMwCOHTtmt37btm20a9eOokWL4uHhQfPmzdm8eXOa/Tds2EC9evVwc3OjQoUKfPTRR7amVqkZDAYGDRrEokWLqFq1Kq6urqxatQqAs2fP0qdPH/z9/XF1daVq1arMnz8/zbnmzJlD1apV8fDwoFixYtSrV4+vv/7atv369esMGTKEcuXK4erqip+fH23atGHXrl22NOn1qYiNjWX48OEEBwfj6upKpUqVmD59OkqpdPOwYsUKqlWrZovVmg8hRP61e/du2rdvj7e3N0WKFOGRRx7hzz//TJNu3759NG/eHHd3d4KCgpg8eTILFizAYDBw8uRJW7r0+lTc7ho2fvx4Ro4cCUD58uVtTZOsx0yvT8W1a9cYOnSo7ZoXFBREz549uXTpUpbz7+vry4MPPpjmtyCzv10Wi4Xx48dTqlQpPDw8aNmyJf/880+auK3N0X7//XcGDBiAn58fQUFBtu2//vorzZo1w9PTEy8vLzp27MiBAwfszhUREUHv3r0JCgrC1dWVwMBAOnfubPf+79ixg5CQEEqWLIm7uzvly5enT58+dsdJr09FZr4H1jxs3ryZYcOG4evri6enJ4899hgXL17M7Fsu7oHUVIgCyWw2ExISQoMGDZg+fTpr165lxowZVKhQgf79+9vSvfjiiyxcuJDevXvzyiuvcOLECd5//312797N5s2bbXfQFy5cSJEiRRg2bBhFihTht99+Y+zYsURHRzNt2jS7c1++fJn27dvTo0cPnn32Wfz9/bMcv/UiXKxYMdu63377jfbt21O3bl3GjRuH0WhkwYIFtGrVij/++MNWo7F7927atWtHYGAgEyZMwGw2M3HiRHx9fdM912+//cZ3333HoEGDKFmyJOXKlSMyMpKGDRva/mH39fXl119/pW/fvkRHRzNkyBBAN1t65ZVX6NatG4MHD+bGjRvs27ePbdu28fTTTwPw0ksv8f333zNo0CCqVKnC5cuX2bRpEwcPHqROnTrpxqSU4n//+x/r16+nb9++1KpVi9WrVzNy5EjOnj3LzJkz7dJv2rSJZcuWMWDAALy8vJg9ezZdu3bl9OnTlChRIsvvvxDC8Q4cOECzZs3w9vZm1KhRODs789FHH9GiRQt+//13GjRoAOgbIC1btsRgMDB69Gg8PT359NNPM1WLcKdr2OOPP86///7LN998w8yZM201yhldT2NiYmjWrBkHDx6kT58+1KlTh0uXLvHjjz9y5swZ2/6ZlZyczJkzZ+x+CyDzv12jR4/mnXfeoVOnToSEhLB3715CQkK4ceNGuucbMGAAvr6+jB07ltjYWAC+/PJLQkNDCQkJYerUqcTFxfHhhx/StGlTdu/ebbsh1LVrVw4cOMDLL79MuXLluHDhAuHh4Zw+fdq23LZtW3x9fXnttdfw8fHh5MmTLFu27LbvQWa/B1Yvv/wyxYoVY9y4cZw8eZJZs2YxaNAgFi9enKX3XtwFJUQetWDBAgWov/76K8M0J06cUIBasGCBbV1oaKgC1MSJE+3S1q5dW9WtW9e2/McffyhALVq0yC7dqlWr0qyPi4tLc+4XX3xReXh4qBs3btjWNW/eXAFq3rx5mcrjuHHjFKAOHz6sLl68qE6ePKnmz5+v3N3dla+vr4qNjVVKKWWxWNT999+vQkJClMVisYurfPnyqk2bNrZ1nTp1Uh4eHurs2bO2dUeOHFFOTk7q1j95QBmNRnXgwAG79X379lWBgYHq0qVLdut79OihihYtans/OnfurKpWrXrbPBYtWlQNHDjwtmlCQ0NV2bJlbcsrVqxQgJo8ebJdum7duimDwaCOHj1qlwcXFxe7dXv37lWAmjNnzm3PK4RwjMxc37t06aJcXFzUsWPHbOvOnTunvLy81MMPP2xb9/LLLyuDwaB2795tW3f58mVVvHhxBagTJ07Y1jdv3lw1b97ctpyZa9i0adPSHMeqbNmyKjQ01LY8duxYBahly5alSZv62p2esmXLqrZt26qLFy+qixcvqr///ls999xzCrC7hmb2tysiIkI5OTmpLl262KUbP368Auzitn4eTZs2VcnJybb1169fVz4+Pqpfv352x4iIiFBFixa1rb969aoC1LRp0zLM3/Lly+/4mSulr+njxo2zLWf2e2DNQ+vWre3e66FDhyqTyaSuXbt22/OKeyfNn0SB9dJLL9ktN2vWjOPHj9uWlyxZQtGiRWnTpg2XLl2yPerWrUuRIkVYv369La27u7vt9fXr17l06RLNmjUjLi6OQ4cO2Z3H1dWV3r17ZynWSpUq4evrS7ly5ejTpw8VK1bk119/tfXF2LNnD0eOHOHpp5/m8uXLtlhjY2N55JFH2LhxIxaLBbPZzNq1a+nSpQulSpWyHb9ixYq0b98+3XM3b96cKlWq2JaVUixdupROnTqhlLJ7b0JCQoiKirI1XfLx8eHMmTP89ddfGebNx8eHbdu2ce7cuUy/HytXrsRkMvHKK6/YrR8+fDhKKX799Ve79a1bt6ZChQq25Ro1auDt7W33eQsh8g+z2cyaNWvo0qUL9913n219YGAgTz/9NJs2bSI6OhqAVatW0ahRI2rVqmVLV7x4cZ555pk7nicz17CsWLp0KTVr1uSxxx5Ls+3W5qfpWbNmDb6+vvj6+lK9enW+/PJLevfubVcjntnfrnXr1pGcnMyAAQPszvHyyy9neP5+/fphMplsy+Hh4Vy7do2nnnrK7lwmk4kGDRrYzuXu7o6LiwsbNmxI0wTLytrJ/eeffyYpKemO7wVk7Xtg9cILL9i9182aNcNsNnPq1KlMnVPcPWn+JAokNze3NNXTxYoVs7vYHTlyhKioKPz8/NI9xoULF2yvDxw4wJtvvslvv/2W5gIWFRVlt1y6dOksdwZcunQp3t7eXLx4kdmzZ3PixAm7gsyRI0cACA0NzfAYUVFR3Lhxg/j4eCpWrJhme3rrQLcTTu3ixYtcu3aNjz/+mI8//jjdfazvzauvvsratWupX78+FStWpG3btjz99NM0adLElvadd94hNDSU4OBg6tatS4cOHejZs6fdD8StTp06RalSpfDy8rJbX7lyZdv21MqUKZPmGLd+3kKI/OPixYvExcVRqVKlNNsqV66MxWLhv//+o2rVqpw6dYpGjRqlSZfRNS+1zFzDsuLYsWN07dr1rvYFaNCgAZMnT8ZsNrN//34mT57M1atX7X5TMvvbZb1O3vo+FC9ePE1zKqtbfw+svz2tWrVKN723tzegb6ZNnTqV4cOH4+/vT8OGDXn00Ufp2bMnAQEBgL6B1bVrVyZMmMDMmTNp0aIFXbp04emnn86wqVpWvgdWt/4eWPMqvwc5TwoVokBKfaclIxaLBT8/PxYtWpTudmuh5Nq1azRv3hxvb28mTpxIhQoVcHNzY9euXbz66qtphkJNXRjIrIcfftjW1rZTp05Ur16dZ555hp07d2I0Gm3nmDZtmt3duNSKFCmSYTvZ27k1Xuu5nn322QwLMTVq1AD0Rf3w4cP8/PPPrFq1iqVLl/LBBx8wduxYJkyYAMCTTz5Js2bNWL58OWvWrGHatGlMnTqVZcuWZVh7klUZfd7qlk7dQgiRWmauYbmpZMmStG7dGoCQkBAefPBBHn30Ud577z2GDRsGZP63625k9Hvw5Zdf2goHqaUe+nXIkCF06tSJFStWsHr1asaMGUNYWBi//fYbtWvXxmAw8P333/Pnn3/y008/sXr1avr06cOMGTP4888/KVKkyF3HnZr8HjiOFCpEoVWhQgXWrl1LkyZNblsQ2LBhA5cvX2bZsmU8/PDDtvUnTpzIkbiKFCnCuHHj6N27N9999x09evSwNe3x9va2/eCkx8/PDzc3N44ePZpmW3rr0uPr64uXlxdms/m257Ly9PSke/fudO/encTERB5//HHeeustRo8ebRsaMDAwkAEDBjBgwAAuXLhAnTp1eOuttzIsVJQtW5a1a9dy/fp1u9oKa1OzsmXLZiovQoj8ydfXFw8PDw4fPpxm26FDhzAajQQHBwP6enAv17w7XcMy02zJqkKFCuzfvz/T6e+kY8eONG/enClTpvDiiy/i6emZ6d8u63Xy6NGjdjUQly9fzvRde+tvj5+fX6Z+DypUqMDw4cMZPnw4R44coVatWsyYMYOvvvrKlqZhw4Y0bNiQt956i6+//ppnnnmGb7/9lueffz7N8bLyPRCOJ30qRKH15JNPYjabmTRpUpptycnJttlTrXc9Ut/lSExM5IMPPsix2J555hmCgoKYOnUqAHXr1qVChQpMnz6dmJiYNOmtw+WZTCZat27NihUr7PowHD16NE0/hIyYTCa6du3K0qVL0/1xTD003+XLl+22ubi4UKVKFZRSJCUlYTab0zQP8/Pzo1SpUiQkJGQYQ4cOHTCbzbz//vt262fOnInBYMi2Gg4hRN5kMplo27YtP/zwg92QpJGRkXz99dc0bdrU1vQmJCSErVu3smfPHlu6K1euZHgnP7U7XcMA21wNmZlRu2vXruzdu5fly5en2Xa3d8pfffVVLl++zCeffAJk/rfrkUcewcnJiQ8//NAuza3X1dsJCQnB29ubKVOmpNsPwvp7EBcXl6amvEKFCnh5edmu9VevXk3zHlhr3jP6PcjK90A4ntRUiDxv/vz56c45MHjw4Hs6bvPmzXnxxRcJCwtjz549tG3bFmdnZ44cOcKSJUt477336NatG40bN6ZYsWKEhobyyiuvYDAY+PLLL3O0KtXZ2ZnBgwczcuRIVq1aRbt27fj0009p3749VatWpXfv3pQuXZqzZ8+yfv16vL29+emnnwA9rvqaNWto0qQJ/fv3t/1zXq1aNbsf3dt5++23Wb9+PQ0aNKBfv35UqVKFK1eusGvXLtauXcuVK1cAaNu2LQEBATRp0gR/f38OHjzI+++/T8eOHfHy8uLatWsEBQXRrVs3atasSZEiRVi7di1//fUXM2bMyPD8nTp1omXLlrzxxhucPHmSmjVrsmbNGn744QeGDBli1ylbCJF/3e76PnnyZMLDw2natCkDBgzAycmJjz76iISEBN555x1b2lGjRvHVV1/Rpk0bXn75ZduQsmXKlOHKlSu3rWm40zUM9E0dgDfeeIMePXrg7OxMp06d0p0YbuTIkXz//fc88cQT9OnTh7p163LlyhV+/PFH5s2bR82aNbP8HrVv355q1arx7rvvMnDgwEz/dvn7+zN48GBmzJjB//73P9q1a8fevXv59ddfKVmyZKZqYLy9vfnwww957rnnqFOnDj169MDX15fTp0/zyy+/0KRJE95//33+/fdfHnnkEZ588kmqVKmCk5MTy5cvJzIykh49egDw+eef88EHH/DYY49RoUIFrl+/zieffIK3tzcdOnTIMIbMfg9EHuCgUaeEuCPr8HAZPf77778Mh5T19PRMczzr8K23+vjjj1XdunWVu7u78vLyUtWrV1ejRo1S586ds6XZvHmzatiwoXJ3d1elSpVSo0aNUqtXr1aAWr9+vS1d8+bN7zg8YXoxXbx4Mc22qKgoVbRoUbvhD3fv3q0ef/xxVaJECeXq6qrKli2rnnzySbVu3Tq7fdetW6dq166tXFxcVIUKFdSnn36qhg8frtzc3OzScctQhalFRkaqgQMHquDgYOXs7KwCAgLUI488oj7++GNbmo8++kg9/PDDtngqVKigRo4cqaKiopRSSiUkJKiRI0eqmjVrKi8vL+Xp6alq1qypPvjgA7tz3TqkrFJ6KMOhQ4eqUqVKKWdnZ3X//feradOmpRmWMaM83DrUoxAi78jM9V0ppXbt2qVCQkJUkSJFlIeHh2rZsqXasmVLmuPt3r1bNWvWTLm6uqqgoCAVFhamZs+erQAVERFhS3frkLJ3uoZZTZo0SZUuXVoZjUa74WXTu85cvnxZDRo0SJUuXVq5uLiooKAgFRoammaI7luVLVtWdezYMd1tCxcuTPNbl5nfruTkZDVmzBgVEBCg3N3dVatWrdTBgwdViRIl1EsvvZTm88houNf169erkJAQVbRoUeXm5qYqVKigevXqpXbs2KGUUurSpUtq4MCB6sEHH1Senp6qaNGiqkGDBuq7776zHWPXrl3qqaeeUmXKlFGurq7Kz89PPfroo7ZjWHHLkLLWfe/0PcgoD+vXr0/zWy1yhkEp6bkiRGHQpUsXDhw4YBvNQwghCrIhQ4bw0UcfERMTk6nBOwqLa9euUaxYMSZPnswbb7zh6HBEASJ9KoQogOLj4+2Wjxw5wsqVK2nRooVjAhJCiBx06zXv8uXLfPnllzRt2rRQFyhufV8AZs2aBSC/ByLbSU2FEAVQYGAgvXr14r777uPUqVN8+OGHJCQksHv3bu6//35HhyeEENmqVq1atGjRgsqVKxMZGclnn33GuXPnWLdund2ofYXNwoULWbhwIR06dKBIkSJs2rSJb775hrZt27J69WpHhycKGOmoLUQB1K5dO7755hsiIiJwdXWlUaNGTJkyRQoUQogCqUOHDnz//fd8/PHHGAwG6tSpw2effVaoCxSg5xRycnLinXfeITo62tZ5e/LkyY4OTRRAUlMhhBBCCCGEuCfSp0IIIYQQQghxT6RQIYQQQgghhLgn+apPxcaNG5k2bRo7d+7k/PnzLF++nC5dumSYfsOGDbRs2TLN+vPnzxMQEGBbnjt3LtOmTSMiIoKaNWsyZ84c6tevn+m4LBYL586dw8vLK1OTyQghRH6llOL69euUKlUKo7Hw3peS674QorDI7HU/XxUqYmNjqVmzJn369OHxxx/P9H6HDx+2m8bdz8/P9nrx4sUMGzaMefPm0aBBA2bNmkVISAiHDx+2S3c7586dIzg4OPMZEUKIfO6///4jKCjI0WE4jFz3hRCFzZ2u+/m2o7bBYMh0TcXVq1fx8fFJN02DBg146KGHeP/99wF99yk4OJiXX36Z1157LVOxREVF4ePjw3///WdXeMkJSUlJrFmzhrZt2+Ls7Jyj58pLCmO+C2OeQfKd1/MdHR1NcHAw165do2jRoo4Ox2Hkup/zJN+FJ9+FMc+Qf/Kd2et+vqqpuFu1atUiISGBatWqMX78eJo0aQJAYmIiO3fuZPTo0ba0RqOR1q1bs3Xr1gyPl5CQQEJCgm35+vXrALi7u+Pu7p5DudCcnJzw8PDA3d09T38Bs1thzHdhzDNIvvN6vpOSkgAKfZMfa/69vb1zpVDh4eGBt7d3nv5uZDfJd+HJd2HMM+S/fN/pul+gCxWBgYHMmzePevXqkZCQwKeffkqLFi3Ytm0bderU4dKlS5jNZvz9/e328/f359ChQxkeNywsjAkTJqRZv2bNGjw8PLI9H+kJDw/PlfPkNYUx34UxzyD5zqvi4uIcHYIQQog8qEAXKipVqkSlSpVsy40bN+bYsWPMnDmTL7/88q6PO3r0aIYNG2ZbtlYLtW3bNlfuWIWHh9OmTZt8UarNLoUx34UxzyD5zuv5jo6OdnQIQggh8qACXahIT/369dm0aRMAJUuWxGQyERkZaZcmMjLSbnSoW7m6uuLq6ppmvbOzc679M5Cb58pLCmO+C2OeQfKdV+Xl2IQQQjhOoStU7Nmzh8DAQABcXFyoW7cu69ats3X4tlgsrFu3jkGDBmXrec1ms60t8r1ISkrCycmJGzduYDabsyGy/KEw5vte8+zs7IzJZMqByIQQQggh7OWrQkVMTAxHjx61LZ84cYI9e/ZQvHhxypQpw+jRozl79ixffPEFALNmzaJ8+fJUrVqVGzdu8Omnn/Lbb7+xZs0a2zGGDRtGaGgo9erVo379+syaNYvY2Fh69+6dLTErpYiIiODatWvZdryAgAD++++/QtVRsjDmOzvy7OPjQ0BAQKF5z4QQQgjhGPmqULFjxw67yeys/RpCQ0NZuHAh58+f5/Tp07btiYmJDB8+nLNnz+Lh4UGNGjVYu3at3TG6d+/OxYsXGTt2LBEREdSqVYtVq1al6bx9t6wFCj8/Pzw8PO75nzuLxUJMTAxFihQpVBNPFcZ830uelVLExcVx4cIFAFvtnBBCCCFETshXhYoWLVpwu2k1Fi5caLc8atQoRo0adcfjDho0KNubO4Fu8mQtUJQoUSJbjmmxWEhMTMTNza3Q/HMNhTPf95pn6/DGFy5cwM/PT5pCFWK//QbvvXf7NP7+8OGHIF8TUdCZzWb++OMPzp8/T2BgIM2aNcv09TH1vtYJcq3XWOvrTB/z1CksH39M9E8/YbxwAVWiBF6PPAL9+t1MoxTm8HCuTpyI65EjJFssRFWsyOXnnqNWixYY5s/n6oYNuJ48iSU2liQnJy5VrEj5r7/GdOECkdOnYzh5kiI3bpBUpAixJhM+Fy7gdu4cBrMZBdxwccHg6Yk5IYFkg4HLFSpQfsECnOvUyTj2a9ewTJxI8scf4xQbq0MFzECCkxOX/f2xNGmC+5UrJEdFYalUiaDx4zGVL4959WouvPceLocP43ztGio5mRgfH3j/fcwNGpBw7BixBgP/NmtGg/nzcVq6lCtffonTqVMkm80YXF1JMBhIKlmSxEaNuO/RRzFMmkT87t0YEhO57uHB9apVMZUrh1tEBEkxMZirVqXMxImY7jRh5969WObP5/Lu3UQ5O3O9c2dqDBiAySnVv8vJyZiXLOH6pEkYzpwh0ckJY3AwLlFRmK9eJcbTk+tPPMEDb72FqUiR25/vVhYL5jVruDB7NubISNwNBrBYMFy+THJyMjcCA4l/+GEqjhuHKb35IpKTMa9YwcWPPybp2jXMlSsTPGECpvh4LJ98wuUdO4g2mYh59FGqDR5sn6/soMQ9i4qKUoCKioqyWx8fH6/++ecfFRcXl23nMpvN6urVq8psNmfbMfODwpjv7MhzXFyc+ueff1R8fHw2RpazEhMT1YoVK1RiYqKjQ8lVOZnvuXOVAqXq11eqU6e0Dx8fpfz8lEpKuvOxMrreOdLvv/+uHn30URUYGKgAtXz58jvus379elW7dm3l4uKiKlSooBYsWJClc+bm+yB/E9mX76VLl6qgoCCF/h9YASooKEgtXbr0rvbN6HHHY86apSwGg0oCpUDFpzwngkp0d9f5vnRJRVarpv94QcWBupHy2vqIAWVJtWw9nnXd1ZTn5FvWZ/RISvV6c82aSlksaWNfu1Ylm0y2Y1luOW7q13GgfkuJIxnUpaJFlQKVcMt5E6x5dndXsanyaU71SL7lXDEp61Ovu/U5CtS6lLQJoP4aODD9z8NsVuqll5QCFWE0ql9BHUk5xho3N7X86691urNnVVSpUrZzRKc6vwXU9VTnvmAwqPAZM277nbL7jl+7pi5UraoUqOMp70Hq/JhTPp9kUBeNRvXb22/bH+y//9S1MmWUArUT1KqU/JtTjnExJV8HU5b/cHVVP3z55W3js8rs9a5w3PJ1MGnPLhxFvnsCoHdvCAiAqlXhxx/tH7NnQ0wMjBoF2X3TKrfExsZSs2ZN5s6dm6n0J06coGPHjrRs2ZI9e/YwZMgQnn/+eVavXp3DkQpHWrZsGd26dePMmTN268+ePUu3bt1YtmxZlvfNyG2P+cMPMGQIh5QiHugEuAMNgQvAfynJoho3puj+/SQDvYEigDfwfcp2C+AJxAKPAG2A60BEqlP5ACOAsanWWdAlH2tjcWtJyPr6V+AG0HjvXn5u1co+9uPHsYSEYDKbMaQcy5DyuHrLcZLRzWHcgdLACaBEVBSXgQQgGngU2JeyP+iaDg/gjZR8WY/9VUr6bcAGID7l+MaUWA3A1JT36FzKsRJSjhcNlAK+BOrMncvvkyaRRlgY6qOPGAgEWSy0Bx4AHgea3LjBlaefZtnSpVxr0gTPc+c4BLQCTKneSwPggv4cdgHFlKLa8OH8+NVXac+XjnNt2uB84ABPoj/n/Sn5PJxy7NHA2pT8nrJYqPHaa/yyYIHe2WLhWrNmRJ0+zUNAXaAdMC7lPQLonZKvyinbqiUkkPTcc7f93mdZpooo4rbuVFORnXeJC+Mde6UKZ76zI8858R3MaXJXNmfyPXOmUiaTUkeP2q/v10/XUsTEZO44ebGmIjW4c03FqFGjVNWqVe3Wde/eXYWEhGT6PFJTkfOyM9/Jycm3rWUwGAwqODhYJScnZ3nfrB7T0rCh+svFRZlBvXDLPq1IVVPh7q7iQE1OfcyUO+jHuVn78ESq7f1T1i3lZk0FoC5iX1uxOtXrhalqDK6m3CEfmrItAlRCqouDefBgW+1AArqGJRrUWlAl0DUt1mMlp3odmvJ8OtW6Z0G5pOxzNSXP+9zd1UlQl9C1HGdS0n6Orm0oBsod1AVu1mZEpLx+G1TXlHVTUp6/TXl+MOW924WuebD7TOLjlaVECfVZkSLpfo6DU2J8qVgxW21OKVDvpsR4OiUfG1Li+BBUyZT3JhnUGz4+6X6vUn/H4/futb0no1OO+0HK5+YB6itQx0B5pqybm5Lm7aJFVXJyskr+6SelQDVJFbcR1AlQX4DahK6xSZ2vninvzcMBARnGZ5XZ610+vS8lCoty5coxZMgQXnnllUylX7hwIUOGDLnn0bYMBgPLly+3DTUsRH734oswdSpMngzt20O3bnD6NCxYAG+/DZ6ejo4w92zdupXWrVvbrQsJCWHIkCEZ7pOQkEBCQoJt2ToJYFJSUrYMF3471uPn9HnymuzM96ZNm7h8+bKtr1l6Ll26xMaNG2natGmW9830Ma9ehb172W8yUcXdnaXoO/lWW4GTKedJcnfHGViUKs0DQFlgGjASXVNgSrXdDCShazyS0DUZ1YCiKdtuoO+m7wBapqwbDnRF3w23Xgai0XfJiwNLx42ja1gYAPE//WR7H26knNeErgWIA/4F7k85Rgz6LrlC17RcQd/RD0hJ+xPwWEraJe7u+AHr3NzopxQuSrENeMhoJBFoD/xlNvOsUrgCp5SidspxSqJrQTo4OxOQkrcbSUkkWyyEpLwPy9A1QO5Aq8RENq5fT9PmzQEwPv88hqtXqa8UfxkMGFPitt7h7+jqyjSDgS43bpDg5ESi2cw6oDy6JsYD+Btdu2B0daWjwcAw4FhSEpXMZkZHRZFQtizubm6klrxuHUm+vvr9fuklXAwGJqW8P8lA35TPYD8wycWFJ41GHgAOJSfzfHIyicDg6GgSg4Jwjo4m0WDgK+BJFxf2G41UBYKTk2mTnIwTUAL4wGhkuIsLAD+mfM4PRUWl+71PLbN/g1KoEGncqcnMuHHjGD9+fO4EI4TIkm++gVQjb9upXRsWLtSPl1+GGzegeHF46aXcjNDxIiIi0ozw5+/vT3R0NPHx8en+8xgWFsaECRPSrF+zZg0eHh45Fmtq4eHhuXKevCa78v3NN9/cMU10dDQrV668q30zfcxvvqEYEA58lk76f1Kew+fPByDslu0rgaopzwA9Uh6ptwem2j451Wur1Pt/Bqy7ZXunlPhA/yNui//dd9OJWBcOHgOOpjzsKIVTbCx7L13CKS6OlVWqAPA5UGvOHOKOHePZ69dx7t4dp1QF93rFirHK2rwHaPL667T45x+7Q1v/8sq5ufHLN9/gA5wFBkyciNOuXfikbK+c8rCKjo215emh48cpZbFQLd2cwQeff87KlAmPL8yaRfCGDTyYanuJlAfArx9/TKK3N98AHvPm4bRqlf5H++zZNMddHx5OvLVQ4eeHn1KUuyWNC7pA+Mz06awMDmYcUPKbb3BZvBgXa6KImw3eygHT3nqLaxUrAnBo2TKqpkyzAPBos2aUSnXzZD3QjIy/91ZxcXEZbktNChX5hHXEibNnz1K0aFFCQkJybBSk8+fP214vXryYsWPHcvjwYdu6IqlGM1BKYTabccqvjbGFKGBefx3++w9SBqOxk5ysn319oXRpePPNwldLcbdGjx5tG8Yc9I9wcHAwbdu2xdvbO0fPnZSURHh4OG3atClUM5pnZ743bdpEx44d75jul19+SbemIjP7ZuqYZjOJFSuy9soVOgAdgM2p0gYDu9zdWTt/Pm369ME5Pp4XgMUp2z2BI+g2+03RtQuPc7NQ8BQwD/0Peyi6X0EQ+h9tI/qfPgV8kbId4CXgw5T1yeh/ZAcB7wOJwFdvvkmfkSMBuNymDcW3bwf0XXRrTcQidM3JCaCY2YzBYsGiFCaLBYNStj4TiQDu7hiAFsB7CQmUtVjSvGcKMF27Rr2nnsIP2AsYk5L4wWgk3mCgNVAsJZ3FYOBGcjJJTz3FLnTfgxlmM286O3MIeBD4AF2b8Dy6f4W3lxdNmzUDwGA0kvTEE8xXitXc7HNifXYKDWWJwcC7QHuLhcsuLvRMOU9NdCFqJPAy0PqFF9hiMPAYcMhiIdbFhZ+A+6dPp2bNmpDqpm3L2rVJMhoJDw/nRpUqJK9axQB0ga4OcAzwTfl82owcycsGA/cDa5Xid1dX7kfXypR+911K/PEHAcuX8xSw6c03iTUY8AKOKsU8V1dKA7WB9lu3cnzbNgDqpXxvHgeGpfO9T81aM3tHt20cJTIlp/tU3MtoFfdqwYIFqmjRorbl9evXK0CtXLlS1alTRzk7O6v169er0NBQ1blzZ7t9Bw8erJo3b25bNpvNasqUKapcuXLKzc1N1ahRQy1ZsuS25y9btqyaOXOmrX/B9OnTVbVq1ZSHh4cKCgpS/fv3V9evX08T7/Lly1XFihWVq6uratu2rTp9+rTdcVesWKFq166tXF1dVfny5dX48eNVUqqhb+Bmu+yEhAQ1cOBAFRAQoFxdXVWZMmXUlClTsvZG3gXpUyHtx+/Gu+/qvhPHjqU+tlJXryo1b55SBoNSRqNS7dplrS+FVUHoU9GsWTM1ePBgu3Xz589X3t7emT6P9KnIeTnRp8JgMNx1n4qM9s3okdExzWPHqnh0v4gdoIqmpHcB9QOoSyn9C654eKirKe3iS6c67tfoEX0S0H0bNoNyTWlv/0dKu37rqFCxKf0JVnBzhKLElDTRKf0DElJtuwJqG6h9Kdu+BJWQkHDzvVi5Ms2IUeaU4y3g9iNMWUdvSkaPSrQZVAio86ASXV3Vmg8/VDfc3FQMqCXcHI3KAmpIyvIb3Ow3cill28mU5d6gfNF9GWJTtm1H90UwguqQcrz0+jhYunZVEUajuu+Wz7A4qL0pn9MDgYG20Z6mg2qbKm9vcbM/SRdQ41K9Nw/7+9+5T0VMjDppMqnNoJqm7PtFyvPklM/lQ1ADbtnWIeXYyZcvq+sGg1oCyilV/B+nvNeJoEalWu8Fagu6f06ZoKBs61Mhoz/lcfcyWkVOeu2113j77bc5ePAgNWrUyNQ+YWFhfPHFF8ybN48DBw4wdOhQnn32WX7//fdMn9doNDJ79mwOHDjA559/zm+//ZZmLpK4uDjeeustvvjiCzZv3sy1a9fo0eNm5fAff/xBz549GTx4MP/88w8fffQRCxcu5K233kr3nLNnz+bHH3/ku+++4/DhwyxatIhy5cplOmYhctOLL0LJkmD9OickQPfu0Lo1TJoETzyhazFWrdIjPhXGWopGjRqxbp19g4/w8HAaNWrkoIhETjOZTLyXMlnLrU18rcuzZs1Kd26J2+2bkdsd0zh6NNHVqhGE7u9wEvgN3d+gA9iatfw9ahRGdE3DEWA1urlKN3QNhRO6TXwjIArdj6IB+r9GD3StQyywB6iYsp6U/VzQtR4mIHUdkEdKTNVS4jk2cCAuLraGNpjateNou3bAzf9QjSnH65WybH2HFLrPxufAt+g7/2bgGnqUpobodv0lAWU0EhcYiMFg4Aa6X4ElJdZYYDp6VKfJ6FqHWPTIVmZ0HxMz8DGwMyU/7in7VwO+AZaknOsnoO7HH6f5TAzvv4+Hvz+70TU0vYAp6KZoAehanbD33+fv11+39UP5FDiUsv/rKec9BswAxqesHwwM/uCDO85ZYnJx4fjkyVRNiXcd8FxKPt9IyU8rYC661um5lHP2TTm2qXhx/h41iv+h+2C8CvRBN8vySvlM7kf3bZkAHEQ3B3samPnee9k3j9VtixwiU3KqpuJeRqvILhnVVKxYscIu3Z1qKm7cuKE8PDzUli1b7NL07dtXPfXUUxme/9aailvv2i9ZskSVKFHCLl5A/fnnn7Z1Bw8eVIDatm2bUkqpRx55JE1Nw5dffqkCAwNty3DzbufLL7+sWrVqpSzpjdedg6SmQu7K3i1rbcWBA0q1b69vpjk56ed//lHqs8+Uqlo167UUSuXNmorr16+r3bt3q927dytAvfvuu2r37t3q1KlTSimlXnvtNfXcc8/Z0h8/flx5eHiokSNHqoMHD6q5c+cqk8mkVq1alelzSk1FzsuteSqCg4OzfZ6KOx7zxg21NzRUnTKZ7O7uXzAa1d9PPWXL96r331dLPDzs5qeISblr/Z6bmzptMKSpHYgCNQ/UR05O6gr2IzElcnPegtSP1PtfBzUH1NiXX7aPOT5eqQULlKpZ87ZzXVjPd4ab828cBjWxaFE1IzRULfL0VLG3nNc64lW8u7tt/T+g3gS13mi0jThlvftvfWwCtd1otL0/1jQ30DUU1vkw9oEaXayYWvbddxl/JpcuqYMpNRYqpXbgPVANAwPtPsu106apjU5OdqNbJd4S33ZQj3l53fF7det3fPWcOeorT08Vzc15PlLPxWFGj7QVWrJkusdeN3Wq+sHd3fa+HwD1VtGiak2jRupMynfN+v1oFhCQ6RYvMvpTAfDHH3/cdkxspRT//fcff/zxBy1atMi9wIB69eplKf3Ro0eJi4ujTZs2dusTExOpXbt2po+zdu1apk6dyqFDh4iOjtYzTN64QVxcnK2zpJOTEw899JBtnwcffBAfHx8OHjxI/fr12bt3L5s3b7armTCbzWmOY9WrVy/atGlDpUqVaNeuHY8++iht27bNUv6FyE0vvghhYbp24vx5cHeHIkX0cuXK+tG7t13z3nxtx44dtGzZ0rZs7fsQGhrKwoULOX/+PKdPn7ZtL1++PL/88gtDhw7lvffeIygoiE8//ZSQkJBcj13krscff5zOnTvf1Yzat+57TzNqu7pSY+FCzJ99xu8bNnAuIoJSAQE0bdECH4uFYymdZkMGDsT80kv8sXEj5/77j4sXL1IyIIAHS5emWUqfgN83bOD02bP8tXUrSikqPPggAwYMwGQy8ccffxBx5gy+gYEYzGYiL12ipK8ve7Zt46eff8ZgNFKlalXqN27M7r/+Qlkstv1T11Cwfj306AEXLuhlDw8sPXuypXZtPg4PZ//+/SQpRYC/P37+/pSrWJHmLVpgMhq5GBFBQFAQr6e8J+bPPrPlJ+LiRa5cvIizszO1gKTISD7+8EOOnD5NhYoVGZOSj42//865s2e5ePEixUuW5PKlS/j6+lI6OJiGzZphNpuZPWsWh0+cwGQw8FDDhpQqXZoTSnExMpKA0qWZdKfPpEQJHvz+e8xms/5MLlygRmAgA2/Z75ERIzAPHcqG9ev547ffsBgMNG3eHIPFwqaNG1FGI81btmRJixZZrgFoO2gQ5v79+WPjRiLOnsU3MBAsFiIjIvRnn5LnzzLIS6tRozAPH27bPyAoiFet77s1X5GRVCpVivVZmEk+s6RQkYel7jCdHemyk+ctbSaMRiNKKbt1qYcgi4mJAXSHtdKlS9ulc00ZVeFOTp8+zf/+9z/69+/PW2+9RfHixdm0aRN9+/YlMTEx0yOwxMTEMGHCBB5//PE029xuGfINoE6dOpw4cYJff/2VtWvX8uSTT9K6dWu+//77NGmFyAuSknQh4sQJ3bzppZf0oC1jxtxMU1AKFAAtWrRIc/1JbeHChenus3v37hyMSuRVJpPprm/E3cu+GR2v+SOP2K2z3NJx2WQy0SJVoflW1v2f69kzzbaMYm3Tpg0j33zTbl3v3r3tE8XH6zsSoO9EXL0KQUF66Ljnn8dYvDhNgaYvvJBhbOlJLz9JSUmsXLkSNzc3XrmlSTNAi1sn4UvnmOntdzfS+0zSS/NI69Y8csvQ1G1Smobd6/lv93nf7f6Zyde9kkJFHhYYGJit6XKSr68v+/fvt1u3Z88e24gdVapUwdXVldOnT9M8ZWzorNqzZw8Wi4UZM2bYRr767rvv0qRLTk5mx44d1K9fH4DDhw9z7do1KlfWA8rVqVOHw4cPUzFlyLXM8Pb2pnv37nTv3p1u3brRrl07rly5QvHixe8qL0LklCtXICREFygMBmjWDL77Tt9krFz5zvsLIQoxsxl+/hlmzQInJ7AO5xsQABs3Qt26UIhGIBNZI4WKPKxZs2YEBQVx9uzZdO/CGQwGgoKCbFWgjtSqVSumTZvGF198QaNGjfjqq6/Yv3+/rWmTl5cXI0aMYOjQoVgsFpo2bUpUVBSbN2/G29ub0NDQO56jfPnyJCUlMWfOHDp16sTmzZuZN29emnTOzs68/PLLzJ49GycnJwYNGkTDhg1thYyxY8fy6KOPUqZMGbp164bRaGTv3r3s37+fyZMnpzneu+++S2BgILVr18ZoNLJkyRICAgLw8fG5tzdNiBxw5QqcOaM7a4eGwowZunCRupZCCCHSWLIERo+GY8f0spOTvpgEBenlhg0dF5vIF2T0pzzsXkaryG0hISGMGTOGUaNG8dBDD3H9+nV63lIVO2nSJMaMGUNYWBiVK1emXbt2/PLLL5QvXz5T56hevTozZsxg6tSpVKtWjUWLFhEWduu0QODh4cGrr77K008/TZMmTShSpAiLFy+2bQ8JCeHnn39mzZo1PPTQQzRs2JCZM2dStmzZdM/r5eXFO++8Q7169XjooYc4efIkK1euzLF5QoS4FxUrwrp1sGEDTJyo56N45hmppRBCZCAuDvr0gSef1AWKYsXgtdd0dae1QCFEZmSq27e4LUfMU5HZ0SoKiuwYCSm/kdGfZKSbzDp5Uqm1a9Pfdvmynqciu+TF0Z8cQUZ/ynmS71zI9/Hjeig40BPYvPnm3Q0Ld4/ks87b+ZbRnwqQ1CNOpJ5RuzDNrCpEYXX1qp4lO2WsgzSuX4e1a/Vs2WvWwMMP22+Xbj9CiAxZLxD+/vDNN3APHYSFkEJFPmEdccJisRAdHZ0nmjwJIXJeTAx8/LGesK5SJfttsbGwe7fuWxkUBBUqOCZGIUQ+VbQo/PILuLrqzthC3AMpVAghRB50/Tp066ZrKooVg8uXdQHD2pUnLg4OH9YFCjc3+Osv+Z9ACJEJK1ZAZKSe0AYgg/6EQmSV9DQVQog8yGjUBYVz56BVK928ydUVatXSna8PH9brAD75RAoUQohMsE5i99JLejQHIbKRFCqEECIPuXxZFyb++Qe6d9cT2IaG6rknjhyB5s316E7JybrgUb26Ht1JCCFua9cu6NwZEhKgSxdo2tTREYkCRpo/CSFEHvLUU2lvID766M3Xzz6rm0MBWCwweXLBmh1bCJEDjh2Ddu10u8oWLXSnbCf5F1BkL6mpEEKIPKRTJ/38ww+wdy8MGqQnsF2zRs+ODbpQ4ekJtWvfTC+EEOmKi4PHH4eLF/VF44cfdEcsIbKZFCqEECIP6dsXfH31gCw1asBbb4GLCwwderOG4vhxPfLT+PFSSyGEuA2lYMAA2LdPDyH300/g7e3oqEQBJYUKIYTIQzw8YNQomD8fTp2ClSshPh4OHND/D3h56XRSSyGEuCOlIDAQTCb49ls9yoMQOUQKFcLhevXqRZcuXWzLLVq0YMiQIbkex4YNGzAYDFy7di3DNAaDgRUrVmT6mOPHj6dWrVr3FNfJkycxGAzs2bPnno4j8o/+/XWtRGio7oRtsehO2U5Oukl00aIwZYrUUggh7sBohLAwPVycTGwncpgUKkS6evXqhcFgwGAw4OLiQsWKFZk4cSLJ1jEsc9CyZcuYNGlSptJmpiAgRH7j6akHZvn9d12g6N5dPycl6SFlL13SfS6FECJDSt18LTNjilwgXf/zsDfegO3b7dcpZcBs9sRkMmAwwBNPwAsv5Mz527Vrx4IFC0hISGDlypUMHDgQZ2dnRo8enSZtYmIiLi4u2XLe4sWLZ8txhMivZs6E5cv162rVdEftwEAoXx4mTZJBW4QQd7BpE4wdC++/D1WqODoaUUhITUUetnWrnqemWDEoXvzmo1gxhasrrF0L+/fn3PldXV0JCAigbNmy9O/fn9atW/Pjjz8CN5ssvfXWW5QqVYpKlSoB8N9///Hkk0/i4+ND8eLF6dy5MydPnrQd02w2M2zYMHx8fChRogSjRo1Cpb6bQtrmTwkJCbz22mtUrVoVd3d3KlasyGeffcbJkydpmVKdW6xYMQwGA7169QLAYrEQFhZG+fLlcXd3p2bNmnz//fd251m5ciUPPPAA7u7utGzZ0i7OzHr11Vd54IEH8PDw4L777mPMmDEkJSWlSffRRx8RHByMh4cHTz75JFFRUXbbP/30UypXroybmxsPPvggH3zwQYbnvHr1Ks888wy+vr64u7tz//33s2DBgizHLvKm48fhtdf065Yt4eBB+PpreP112LxZT4QnhBAZSkrSbSjXr4f33nN0NKIQkftdedgbb+hrQmgodOyo11ksiujoOD76yJvwcAMjRuRePO7u7ly+fNm2vG7dOry9vQkPDwcgKSmJkJAQGjVqxB9//IGTkxOTJ0+mXbt27Nu3DxcXF2bMmMHChQuZP38+lStXZsaMGSxfvpxWt/lPqWfPnmzdupWpU6fSsGFDTp06xaVLlwgODmbp0qV07dqVw4cP4+3tjbu7OwBhYWF89dVXzJs3j/vvv5+NGzfy7LPP4uvrS/Pmzfnvv/94/PHHGThwIC+88AI7duxg+PDhWX5PvLy8WLhwIaVKleLvv/+mX79+eHl5MWrUKFuao0eP8t133/HTTz8RHR1N3759GTBgAIsWLQJg0aJFjB07lvfff5/atWuze/du+vXrh7u7O4899liac44ZM4Z//vmHX3/9lZIlS3L06FHi4+OzHLvIm+67DxYv1jcMhgzRy87O8Pzzjo5MCJEvzJ6tLyAlS+rOV0LkFpWP/P777+rRRx9VgYGBClDLly+/bfqlS5eq1q1bq5IlSyovLy/VsGFDtWrVKrs048aNU4Ddo1KlSlmKKyoqSgEqKirKbn18fLz6559/VHx8fJaOZ2WxKNW0qVL16unXSillNpvVf/9dVSVLWtRLL93VYTMlNDRUde7cOSUOiwoPD1eurq5qxIgRtu3+/v4qISHBts+XX36pKlWqpCzWYJVSCQkJyt3dXa1evVoppVRgYKB65513bNuTkpJUUFCQ7VxKKdW8eXM1ePBgpZRShw8fVoBavXq1unr1qjKbzXZxrl+/XgHq6tWrtnU3btxQHh4easuWLXZp+/btq5566imllFKjR49WVapUsdv+6quvpjnWre70vZs2bZqqW7eubXncuHHKZDKpM2fO2Nb9+uuvymg0qvPnzyullKpQoYL6+uuv7Y4zadIk1ahRI3X16lV17NgxBajdu3crpZTq1KmT6t27d4YxpHav30FHSExMVCtWrFCJiYmODiXXWCxK/fdf+vn+80+lduxwUGDpyOh6V9jk5vtQGP8mlJJ831W+T59WytNTKVBq/vzsDy6HyGedt/Od2etdvqqpiI2NpWbNmvTp04fHH3/8juk3btxImzZtmDJlCj4+PixYsIBOnTqxbds2ateubUtXtWpV1q5da1t2yiMNlg0GPQ5969Z6WElrbcVnn7kSFQXpdG3IVj///DNFihQhKSkJi8XC008/zfjx423bq1evbtePYu/evRw9ehQv65iXKW7cuMGxY8eIiori/PnzNGjQwLbNycmJevXqpWkCZbVnzx5MJhPNmzfP9N34o0ePEhcXR5s2bezWJyYm2j73gwcP2sUB0KhRo0wdP7XFixcze/Zsjh07RkxMDMnJyXjfMgZ4mTJlKJ1qGL9GjRphsVg4fPgwXl5eHDt2jL59+9KvXz9bmuTkZIoWLZruOfv370/Xrl3ZtWsXbdu2pUuXLjRu3DjLsYu8wWLRE9z9/LMTb77pnmb7LV9TIYTI2NChehKbJk10MwchclHe+O85k9q3b0/79u0znX7WrFl2y1OmTOGHH37gp59+sitUODk5ERAQkF1hZqtWrfQoMOPHQ4cOEBMDc+a40qcPlCmTs+du2bIlH374IS4uLpQqVSpNYcvT09NuOSYmhrp169qa9aTm6+t7VzFYmzNlRUxMDAC//PKL3T/zoPuJZJetW7fyzDPPMGHCBEJCQihatCjffvstM2bMyHKsn3zySZpCjiGD8ULbt2/PqVOnWLlyJeHh4TzyyCMMHDiQ6dOn331mhEOYzbpZ08KF+ibCv//KIAVCiLv066+wdKmek+KDD/RwskLkonxVqLhXFouF69evpxld6MiRI5QqVQo3NzcaNWpEWFgYZXL6P/ZMurW2Yv9+iI428NprCsjZQeo9PT2pWLFiptPXqVOHxYsX4+fnl+ZuvVVgYCDbtm3j4YcfBvQd+Z07d1KnTp1001evXh2LxcLvv/9O/fr102y31pSYzWbbuipVquDq6srp06dp3rx5usetXLmyrdO51Z9//nnnTKayZcsWypYtyxtvvGFbd+rUqTTpTp8+zblz5yhVqpTtPEajkUqVKuHv70+pUqU4fvw4zzzzjN1+FouF6OjodM/t6+tLaGgooaGhNGvWjJEjR0qhIp9JSoLnntP9J0wmmD/fTNGiZ4Gajg5NCJEfzZmjnwcPhho1HBuLKJQKVaFi+vTpxMTE8OSTT9rWNWjQgIULF1KpUiXOnz/PhAkTaNasGfv370/TjMcqISGBhIQE27L1H7+kpCS7kX+SkpJQSmGxWLBYLHcdd4sW0LSpgTffhDNnDDz7bCLBwU73dMw7UUrZYs/s9qeeeopp06bRuXNnxo8fT1BQEKdOnWL58uWMHDmSoKAgXnnlFd5++20qVKjAgw8+yMyZM7l27VqaY1mXy5QpQ8+ePXn++ecJCwujQYMGnD59mgsXLvDkk08SHByMwWDgxx9/pEOHDri7u1OkSBGGDx/O0KFDSU5OpmnTpkRFRbFlyxa8vLwIDQ3lhRdeYMaMGYwYMYK+ffuyc+dOFi5cCHDHz8u6vUKFCpw+fZqvv/6ahx56iJUrV7I8ZRxQ6/5KKdzc3OjZsyfTpk0jOjqaV155hSeeeAI/Pz8sFgvjxo1jyJAheHt7ExISQkJCAjt27ODq1as8//zztqZh1vOOGzeOOnXqULVqVRISEvjpp5+oXLlyujFbLBaUUiQlJWEymbL2JXAQ699QeqNoFRQJCfDMMyZ+/NGIs7Piyy/NdOqUSHh43s93Xo9PiELrhx90tWeq/3GEyE2FplDx9ddfM2HCBH744Qf8/Pxs61M3p6pRowYNGjSgbNmyfPfdd/Tt2zfdY4WFhTFhwoQ069esWYOHh4dt2dqsKiYmhsTExHuKf8QIJ7p0KYKzs2Lo0Btcv55+H4TskpSURHJycoZ3yjPa/tNPPzF+/Hi6du1KTEwMgYGBttqC6Ohonn/+eU6dOkWvXr0wGo08++yzdOzYkejoaNuxkpOTSUxMtC2//fbbTJo0iREjRnDlyhWCgoIYNmwY0dHReHl5MXr0aEaPHk3fvn3p0aMHH3zwASNGjMDLy4uwsDBOnjxJ0aJFqVmzJkOHDiU6OhofHx8+//xz3njjDd5//33q1KnDm2++yaBBg7h+/TrG21Qbx8fHEx0dTYsWLejfvz8vv/wyiYmJtGnThhEjRvD222/bYk9ISKB8+fK0b9+ejh07cvXqVUJCQuzSPPnkkxgMBubMmcOoUaPw8PCgSpUq9O/fH9B9iazP0dHRKKUYPXo0p0+fttWuffzxx+l+VomJicTHx7Nx48ZcmbgwO1lHFStoEhKMTJ1an127/HF2NvPqq3/h5haJNbt5Pd9xcXGODkEIkR5nZ0jVN0+I3GZQGfWQzeMMBgPLly+nS5cud0z77bff0qdPH5YsWUJHa2/n23jooYdo3bo1YWFh6W5Pr6YiODiYS5cu2TX7uXHjBv/99x/lypXDzc3tzpm6DaXgyScNPPigYuRI/c90Rm3uCyKlFNevXy9U+c6OPN+4cYOTJ08SHBx8z9/B3JKUlER4eDht2rTB2dnZ0eFku6tXoU0bJ44cgWXLzDzyiL4E55d8R0dHU7JkSaKiojJs5lgYREdHU7Ro0Vx5H5KSkli5ciUdOnTI09+N7Cb5zmS+z5yBgIB8PSumfNZ5O9+Zvd7l329gJn3zzTf06dOHb7/9NlMFipiYGI4dO8Zzzz2XYRpXV9d0O/w6OzvbfSnMZjMGgwGj0XjbO9+ZtXSpdZ4KbMctLKxNewpTvrMjz0ajEYPBkOa7mR/kx5gzw89PT1x59Cg0apT2EpzX852XYxOi0FEKunaFixf1LJkNGzo6IlGI5atCRUxMDEePHrUtnzhxgj179lC8eHHKlCnD6NGjOXv2LF988QWgmzyFhoby3nvv0aBBAyIiIgA9opB1uM4RI0bQqVMnypYty7lz5xg3bhwmk4mnnnoq9zMohMiXYmPhq68go1GPY2P1TNnvvgtFi4Kvr34IIcQ92bABtm8HNzcoX97R0YhCLl8VKnbs2EHLli1ty8OGDQMgNDSUhQsXcv78eU6fPm3b/vHHH5OcnMzAgQMZOHCgbb01PcCZM2d46qmnuHz5Mr6+vjRt2pQ///zzrodAFUIULjEx8OqrN0dwvLU/vFJg7c5SogS8807uxyiEKKA++kg/9+oF/v4ODUWIfFWoaNGiRYaTpAG2goLVhg0b7njMb7/99h6jEkIUZpGRNwsULi6QMnIwoAsTZ8/q10YjPPusY2IUQhRAly5ByoiDvPCCY2MRAigcjdOFECKHVKgAnTpBYCDcuAEffwzHjsFvv+nBWKxTqLz9tgwdL4TIRl99BYmJUKcOpJrQVwhHyVc1FUIIkRckJMDTT+u+kQDXr+saCVdXePxxuP9+PVGldZC4kiUhpbWmEELcO6Xgs8/06+efd2wsQqSQQoUQQmRR69awaZN+nboPRUKCfuzcqZddXPSNxHffTdvXQggh7tru3frOhbs7yMAyIo+QQoUQQmRRiRK6kKAUvPEGFC8O//0HM2aAtzdER+s+FImJevj4p592dMRCiAKldm3YsgX++Qd8fBwdjRCAFCqEECLLxo2DH34ALy+IiIAJE/T6f//FNjN2yZJw4YIe7UlqKYQQ2cpggEaN9EOIPEI6aossa9GiBUOGDMm18y1cuJDixYvfNs2hQ4do2LAhbm5u1KpVK3cCy8D48eMdHoPIWbVrQ+fOug/F/Pl6YspOnfToTjdu6N/7CxeklkIIkQNuMwqmEI4khQqRrl69emEwGNI8jh49yrJly5g0aZItbbly5Zg1a5bd/gsXLsQnF6tkx40bh6enJ4cPH2bdunW5dl6DwcCKFSvs1o0YMSJXYxCOMW6cHtHR2Rl69ICff9ZNoeDmb/60aVJLIYTIZh06wEsvwZkzjo5ECDtSqBAZateuHefPn7d7lC9fnuLFi+Pl5eXo8OwcO3aMpk2bUrZsWUqUKOHQWIoUKeLwGETOq10bGjbUs2gnJ0O9enD0qG7e7OwMs2bJvBRCiGx28CCsWgWffgpO0oJd5C1SqBAZcnV1JSAgwO5hMpnsmj+1aNGCU6dOMXToUFttxoYNG+jduzdRUVG2dePHjwcgISGBESNGULp0aTw9PWnQoEGaSQoXLlxImTJl8PDw4LHHHuPy5cu3jdNgMLBz504mTpxoO9eGDRswGAxcu3bNlm7Pnj0YDAZOnjxpO4+Pjw+rV6+mcuXKFClSxFaQSm3+/PlUrVoVV1dXAgMDGTRoEKBraAAee+wxDAaDbfnW5k8Wi4WJEycSFBSEq6srtWrVYtWqVbbtJ0+exGAwsGzZMlq2bImHhwc1a9Zk69atd/6QhMOsWAE7dujXJpPuqA26D0VkJAwe7LDQhBAFlXUY2Ucf1e0rhchDpFDhILGxGT9u3Mh82vj4zKXNKcuWLSMoKIiJEyfaajMaN27MrFmz8Pb2tq0bMWIEAIMGDWLr1q18++237Nu3jyeeeIJ27dpx5MgRALZt20bfvn0ZNGgQe/bsoWXLlkyePPm2MZw/f56qVasyfPhwu3NlRlxcHNOnT+fLL79k48aNnD592m7/Dz/8kIEDB/LCCy/w999/8+OPP1KxYkUA/vrrLwAWLFjA+fPnbcu3eu+995gxYwbTp09n3759hISE8L///c+WZ6s33niDESNGsGfPHh544AGeeeYZkpOTM50XkXsWL4Zu3XQNRalS4OmpCxIlS0Lv3lCsmKMjFEIUOImJ8Pnn+rXMTSHyIKk7c5AiRTLe1qED/PLLzWU/P4iLsy4ZAR/btubNIfWN/nLldDvvW91Nv66ff/6ZIqkCbd++PUuWLLFLU7x4cUwmE15eXgSkumtStGhRDAaD3brTp0+zYMECTp8+TalSpQDd/2DVqlUsWLCAKVOm8N5779GuXTtGjRoFwAMPPMCWLVvs7uzfKiAgACcnJ4oUKWJ3vsxISkpi3rx5VKhQAdCFnokTJ9q2T548meHDhzM41W3nhx56CABfX18AfHx8bnve6dOn8+qrr9KjRw8Apk6dyvr165k1axZz5861pRsxYgQdO3YEYMKECVStWpXjx4/fsZO6yF3Xr8Mrr+iZsp97Dl5+GerX102e3n9fWiQIIXLIjz/qH/hSpaBdO0dHI0Qa8vMnMtSyZUs+/PBD27Knp+c9He/vv//GbDbzwAMP2K1PSEiw9UE4ePAgjz32mN32Ro0a3bZQcS88PDxsBQqAwMBALly4AMCFCxc4d+4cjzzyyF0fPzo6mnPnztGkSRO79U2aNGHv3r1262rUqGEXB8BF65TNIlesXQtffnn7NOXKwa+/wqJFuiO20QiTJkGNGvC//+VKmEKIwujrr/VzaKjcvRB5knwrHSQmJuNtt44Wk/I/LqDb50dHR+Pt7Y3RaMR4SwO2lO4C2cLT09PW1Cc7xMTEYDKZ2LlzJ6ZbMlnkdlU3d8GY8saoVFU0SUlJadI5OzvbLRsMBts+7u7u2RrTnaSOxWAwAPbxi5y3eTN88QXUqqXnoEgtIQH+/ht8ffW8FHXq3Nz25pu5GqYQorC5fl3fzQDo3t2xsQiRAelT4SCenhk/3Nwyn/bW/3szSpeTXFxcMJvNd1xXu3ZtzGYzFy5coGLFinYPa/OhypUrs23bNrv9/vzzzyzHZG2alLrT9Z49e7J0DC8vL8qVK3fb4WGdnZ3T5DM1b29vSpUqxebNm+3Wb968mSpVqmQpHpHzBgwADw/dBHHjxpuPkBDYv1/3d3r1VUdHKYQodBITYdgw3ewpVa22EHmJFCrEPStXrhwbN27k7NmzXErp0FGuXDliYmJYt24dly5dIi4uztb5uGfPnixbtowTJ06wfft2wsLC+CWlE8krr7zCqlWrmD59OkeOHOH999+/q6ZPFStWJDg4mPHjx3PkyBF++eUXZsyYkeXjjB8/nhkzZjB79myOHDnCrl27mDNnjl3e161bR0REBFevXk33GCNHjmTq1KksXryYw4cP89prr7Fnzx67fhoib/D1hUGDYPZsuHxZ90V64w1dExEXp2sv+vZ1dJRCiEKnRAl46y1dW5FSky1EXiOFCnHPJk6cyMmTJ6lQoYKthqBx48a89NJLdO/eHV9fX9555x1Aj5TUs2dPhg8fTqVKlejSpQt//fUXZcqUAaBhw4Z88sknvPfee9SsWZM1a9bw5l20LXF2duabb77h0KFD1KhRg6lTp95xFKn0hIaGMmvWLD744AOqVq3Ko48+ajdq04wZMwgPDyc4OJjatWune4xXXnmFYcOGMXz4cKpXr86qVav48ccfuf/++7Mcj8h5I0aAxQIzZujXU6bo9QYDhIXpWbRF3jN37lzKlSuHm5sbDRo0YPv27bdNP2vWLCpVqoS7uzvBwcEMHTqUG7cOvSeEECLzlLhnUVFRClBRUVF26+Pj49U///yj4uPjs+1cZrNZXb16VZnN5mw7Zn5QGPOdHXnOie9gTktMTFQrVqxQiYmJDoth5EilnJyU0nUVSj30kFKlSyt140bOnTMv5DszMrreOdK3336rXFxc1Pz589WBAwdUv379lI+Pj4qMjEw3/aJFi5Srq6tatGiROnHihFq9erUKDAxUQ4cOzfQ5c/N9yC/fjewm+U7J9/HjSv3yi1IxMY4NLAfJZ523853Z653UVAghRCpms57IzjpFyFtvwc6d8PrrUkuRV7377rv069eP3r17U6VKFebNm4eHhwfz589PN/2WLVto0qQJTz/9NOXKlaNt27Y89dRTd6zdEMIhFi2Cjh31qE9C5GFSqBBCiFQsFj06m8GgCxFbt0JgoPSlyKsSExPZuXMnrVu3tq0zGo20bt06w1npGzduzM6dO22FiOPHj7Ny5Uo6dOiQKzELkSXh4fo51XdciLxIhpQVQohUnJ1hyRJYtQqeeQZ+/hnmzpVairzq0qVLmM1m/P397db7+/tz6NChdPd5+umnuXTpEk2bNkUpRXJyMi+99BKvv/56hudJSEggISHBthwdHQ3ooarTG646O1mPn9PnyWsk30lw/TpOW7ZgAJJatIAC+l7IZ523853Z+KRQIYQo9OLj9fwUL7ygayjc3KBLF3jtNT3flNRSFCwbNmxgypQpfPDBBzRo0ICjR48yePBgJk2axJgxY9LdJywsjAkTJqRZv2bNGjw8PHI6ZADCrXesC5nCnG//v/6iYXIysf7+rD18GA4fdnRYOaowf9Z5WVxcXKbSSaFCCFGoxcTombDXr4fTp3UfCqsxY2D0aJm8Ni8rWbIkJpOJyMhIu/WRkZG2+W9uNWbMGJ577jmef/55AKpXr05sbCwvvPACb7zxhm3yzNRGjx7NsGHDbMvR0dEEBwfTtm1bvL29szFHaSUlJREeHk6bNm3STNhZkEm+2+Ca8s+m2//+V6Cb58lnnbfzba2ZvRP5qcwFFovF0SGIQkq+e7cXFaX7P27eDEWK6HmlbiUFirzNxcWFunXrsm7dOrp06QLo7/26desYNGhQuvvExcWlKTiYTCYg41nsXV1dcU2nDZyzs3Ou/TOQm+fKSwpzvk0pk6+a2rXDVAjeg8L8WeflfGc2Nvm5zEEuLi4YjUbOnTuHr68vLi4uGO5x0hqLxUJiYiI3btxI925aQVUY830veVZKkZiYyMWLFzEajbi4uORQlPnXlSt6puwdO8DHR/ehaNDA0VGJuzFs2DBCQ0OpV68e9evXZ9asWcTGxtK7d28AevbsSenSpQkLCwOgU6dOvPvuu9SuXdvW/GnMmDF06tTJVrgQwuHOnIFDh8BohFatHB2NEHckhYocZDQaKV++POfPn+fcuXPZckylFPHx8bi7u99zASU/KYz5zo48e3h4UKZMmUJTEEvt+efh+PH0tyUmwp49EBsLJUvqwVVq1crN6ER26t69OxcvXmTs2LFERERQq1YtVq1aZeu8ffr0abu/gTfffBODwcCbb77J2bNn8fX1pVOnTryVuu2bEI5WujT884++WPn4ODoaIe5IChU5zMXFhTJlypCcnIzZbL7n4yUlJbFx40YefvjhPF1Vlt0KY77vNc8mkwknJ6dCUwi71ebN+kbf//5nv95igZ9+0gUKLy/YsAGqVnVIiCIbDRo0KMPmThs2bLBbdnJyYty4cYwbNy4XIhPiLhkMULmyfgiRD0ihIhcYDIZsay9nMplITk7Gzc2t0PxzDYUz34Uxz9npjTfguedg+HCoU8d+W5s28Ntv8PvvUqAQQgghsoMUKoQQBcKVK5DSpxHQHawDA+HFF2HUKFAK/P3hvvtg40YYOxZq13ZcvEIIkRHvEycwPf00PPYYPP20o8MRIlOkUCGEKBA++EAPAXur8+fhySf1a4NBz0VRpAgMHZq78QkhRGb579yJ8fvvdQcwKVSIfEIKFUKIfG37dt3EKTZWFxpKl9Y1FKBrJ/bt05PQKqXXL1gA48ZBDk8tIIQQd8137179om1bxwYiRBbkq0LFxo0bmTZtGjt37uT8+fMsX77cNi55RjZs2MCwYcM4cOAAwcHBvPnmm/Tq1csuzdy5c5k2bRoRERHUrFmTOXPmUL9+/ZzLiMgzzGYzf/zxB+fPnycwMJBmzZplekhJ675nz57l4sWL+Pr6Urp0aRo3bsyWLVuydMz04sgo3YYNG2wdT1u0aEGLFi0AbLFERkZy+fJljEZjututsfr5+bFnzx42b95MbGwsvr6+lC1bluLFi3Pt2jW7/e8Uf3x8PMOHD2f79u0opfD29iYxMZHy5csTGhpK8+bN031PUr+H1ridnJyoU6cO77//PsePH6dChQoMGDAAFxeXNPl/+OGH+eijB9i0qSwGg55f4MwZOHPGgu6fbkApA2AAFKVL/0dMTCD9+xuBrH8m6b0Pt8bUrFkzDAYDGzdutPuM7mao0tQx+Pn5ARAREWH3fbvd9yuj79XdfueFELkgNpYSBw/q123aODYWIbJC5SMrV65Ub7zxhlq2bJkC1PLly2+b/vjx48rDw0MNGzZM/fPPP2rOnDnKZDKpVatW2dJ8++23ysXFRc2fP18dOHBA9evXT/n4+KjIyMhMxxUVFaUAFRUVdbdZy7TExES1YsUKlZiYmOPnyktyIt9Lly5VQUFBCrA9goKC1NKlS+9qX+vDZDJl6Zi3iyN1npcuXapKlCiR5nxFihRJd31mt9/pUaJEidvG37lz5zsew6D/47fL38iRI9N9D93d3dWKFSuUu7u73XvauXPnDPLhoSBJwWkF5RUkKhiioLGCKKXrKCwKLii4oWD0PX0mt6bLzHt7p/dQqbTf8dt9xzLz/Upv/xIlSqSJN7PfeavcvN7lZXLdz3mFNd9JP/6oFChL2bJKWSyODidXFNbPOr/kO7PXu3xVqEgtM4WKUaNGqapVq9qt6969uwoJCbEt169fXw0cONC2bDabValSpVRYWFimY5Efl5yX3fleunRpmn90rf/8GgyGO/7Dmd6+t/uHOqNj3i4ODw8PW56XLl1614WC7HqkF39mChRZfaRXqLjz4/OUwkNnBZ8ouKwgJmWdUmBOeb6kwOuuP5PU+9zNZ3K771Xq7/jdfMdSHzsr+2fmO5+aFCo0ue7nvMKa7+RXXlEKlLlPH0eHkmsK62edX/Kd2etdgZ4Ra+vWrbRu3dpuXUhICFu3bgUgMTGRnTt32qUxGo20bt3alkYUPGazmcGDB6OUSrPNum7IkCHpzityu30zktExMxMH6O/p4MGDM32+nDJ48GC7+OPj4/nhhx8cGFFq/YFkYA4QBhQDPAFLyvpvgN+A14Hr9/SZDBkyhMTERF555ZUsR3nre5ieu/mOWeMym81Z3v9O33khRO4yrl0LgOWW/1+EyOvyVZ+KrIqIiLDNqGrl7+9PdHQ08fHxXL16FbPZnG6aQ4cOZXjchIQEEhISbMvR0dGAnqwsKSkpG3OQlvX4OX2evCY7871p0yYuX76Mu7t7hmkuXbrExo0badq0aZb3zewx73QsNzc3AD777LO7Pmd2unz5sl38r732Wo7EZD1m+scuAWwBiqazLQkIAPag1EaSkhrh7GzAYDAD7wBHrGew7ZHVz8S6z4cffsiVK1eynP9b30O76FO+21u2bLmrz9uaF+t57nb/9GJLL04hRA6Ij0d5eqJMJlTLlo6ORogsKdCFipwSFhbGhAkT0qxfs2YNHh4euRJDeHh4rpwnr8mufH/zzTd3TBMdHc3KlSvvat/MHjMzxypbtuw9nTM7pY6/VatWtGrVKsfONX/+/Ay27Ep37YUL7vj5xada82uq1xMzPM/dfCZZSXen893q+vXr93TsnIwNIC4u7q6OLYTIBHd3zJs3s+b772lbooSjoxEiSwp0oSIgIIDIyEi7dZGRkXh7e+Pu7o7JZMJkMqWbJiAgIMPjjh49mmHDhtmWo6OjCQ4Opm3btnjn8DiVSUlJhIeH06ZNm0I1y3J25nvTpk107Njxjul++eWXdGsqMrNvZo55p2O5u7szf/58Tp06xWuvvXbX58xOqeMfMWIEn3zySbafw5rvPn36EB9vLSTUAmahL1nFgVLAv0AiAMnJxUlKKoOzcyxOTm7AnpR9zEADbtZS3D5Pmf18w8LCGD16dNYzR/rfK7j5Hffy8uLRRx+962MDd/0dzSi21KwFFyFEzknOpRuUQmSnAl2oaNSoUZq7buHh4TRq1AgAFxcX6taty7p162xD01osFtatW8egQYMyPK6rqyuurq5p1js7O+faP/q5ea68JDvy/fDDD1OiRAnOnj2bbrtzg8FAUFAQDz/8cJqhNu+0b0bSO2Zm4gDo27cv06ZN48yZM1nJZra7Nf63336b2bNn59j54uPjUwoVJQFfoD6wG/gDeBzdjGkn8ABQDoCkJC+SkpKBh4AzwGPAvnSPf7efSVBQEP3792fatGmcPXs2S3nK6HuVWuPGjbP8HUudF+Ce9r/T8LKF8bojRK5QCmJiIKXpqxD5Tb7qqB0TE8OePXvYs2cPACdOnGDPnj2cPn0a0DUIPXv2tKV/6aWXOH78OKNGjeLQoUN88MEHfPfddwxNNZXusGHD+OSTT/j88885ePAg/fv3JzY2lt69e+dq3kTuMZlMvPfee8DNf9ytrMuzZs1K95+r1PtmVkbHzEwcoAu/WT1nTnjvvffs4nd3d6dz5845fNaSwDnA2iG8NvAcuhN2BSAUaJSyLR74BfgcPbDRK8COdI96L5/JrFmzcHFxuasC1a3vYXpuF8PtWPOS1f3v9J0XQuSSffugeHFMnTrpAoYQ+U2OjD2VQ9avX5/ukIihoaFKKaVCQ0NV8+bN0+xTq1Yt5eLiou677z61YMGCNMedM2eOKlOmjHJxcVH169dXf/75Z5bikqEFc15uzVMRHByc7fNU3OmYt4sjO+ap8PLyynPzVAQHB2dhnopdCo6q6tU/UvqXdqKCEGU/ZGxyyvNDKfuUzbHP5NZ0jp6nIqO8ZHaeisx+561kSFlNrvs5r9Dl+5139FCy7dsXrnyrQvhZp8gv+c7s9c6glBSH71V0dDRFixYlKioqV/pUrFy5kg4dOhSqZgg5le+8PKO2xWJJk+fCNKP28ePHOX78OHFxbZg//3+sXw9vv604eDCWoKCdbNnSHACDwYKHRxLVqsWwfr0HH330EUeOHMFgMNCgQQOCg4Oz7TPJyRm10/uO58UZtXPzepeXyXU/5xW6fLdtC+HhmGfM4OcKFQpPvimEn3WK/JLvzF7vpFCRDeTHJecVxnwXxjxD2nwrBXXqgI8PhIVBo0bQvj38mjK4k8Gg6yi2bYP69R0a+j3JL5+3FCo0ue7nvEKV7/h4KFYMEhJI2rOHlSdPFo58pyhUn3Uq+SXfmb3e5as+FUKIwsdggPHjYcMGuHED2rWDEyegRAkwmXSBokOH/F2gEEIUcps2QUIClC4NlSs7Ohoh7ooUKoQQeUK/froAUbSoXi5aVC8bDJAyOBstW8Lw4XDoEFy+DM7O8NxzMH26w8IWQoh7t2aNfm7TRl/0hMiHCvSQskKI/MNamChdWj+3agVJSWCxwP79EBGh1ycm6hEXb9yAAQNgxgzHxCuEENnmjz/08yOPODYOIe6B1FQIIfKEKVPA1VUP0w6wfDn8+CN4ed0sUHh5wVNP6QLFQw/ByJGOi1cIIbJNz57wxBOQMpiCEPmR1FQIIRxm/HhYu/bmcokScPWqft26Nfz9981lJydYsAC6dYOnn4ZFi3I9XCGEyBkDBugH6CpaIfIhKVQIIRxi/Hj44gvd6bpCBTAawd1dFyLi403s2GEiLk6vt1igf394/HGYM0c/CyGEECLvkEKFECLXKQUffgjR0TeXixfXr81mmD69HnFxunWmh4fuRzFjhu6/OGiQg4IWQoicsHYtlCkD998vnbRFviZ9KoQQuap/f6hYEZKTdd8Id3c4fRouXICLF3Un7K5dj2AwKB58UPexePFFPdKTEEIUKEpBjx5QqRLs2OHoaIS4J1KoEELkqthYOH5c94twd9c36JKT9dDsHTrAqVNQpcoVXF2TOXoUXFxkhCchRAF1+LAeH9vdHWrVcnQ0QtwTKVQIIXLVG2/ofhIPPggTJ8KxY9CiBaxbp/tOGFOuSiaTLmxILYUQosDatk0/16snFzqR70mhQgiRqypV0rUUYWHQuzd4e8Nff+nJZD/8ULcGABg6VKeVWgohRIFlbfL00EOOjUOIbCCFCiFErnvzTTh/Xo/kZLHoJlFOTjcLFABjx+qZs+XmnRCiwLIWKurWdWwcQmQDGf1JCJEjlLIvJKR2//26/8SkSTebPGWUVgghCqTkZNizR7+uV8+hoQiRHaRQIYTIEQ0bwvbtd04XGKg7af/2m66teP75nI9NCCEc7p9/9BB43t56SDwh8jkpVAghckTFirBrF8yeDa6u9tumTdNNmzw8dE3Fnj3g5QWvvgqjRsHKlQ4JWQghck+5crBiBVy6dHOECiHyMSlUCCFyxJgx8M03ei6nPn3st61bp+emWL0amjfXNRQHD8J990FSkmPiFUKIXOXtDZ07OzoKIbKNFCqEENni4EGYOVPXPFjddx+MGKFHTYyNhaAg6NULFi/WaZs21R2yvbx0WiGEEELkT1KoEELcswMHdG3E9u26SZO1uZPZrAsT33yjh4w1GuHcOfDzg379dJpx4xwXtxBCOERiIrz9tu6gHRKiJ+YRIp+TQoUQ4p4cOwadOsGJE3o5IcF+u9F4c52fHyxZArNmgZtbroYphBB5x4ED+o5K0aJw9aqjoxEiW0jPICHEXfv2Wz28urVAAbp2IilJj5aYkGDfHKpRI/D3v1lLIYQQhdLOnfq5Xj3d8UyIAkBqKoQQd+Xzz/Xwr8nJabel19na1RV+/FH3pZBaCiFEoWad9E7mpxAFiNRUCCGy7NgxeOGF9AsUGUlMtO9LIYQQhZbMpC0KIKmpEEJkWWCgbgp8+fLNmbPLlYPz53WTJ5NJN4OyeuopPRlepUpSSyGEKOQSEmDfPv1aaipEASKFCiFElnl4wGuvwciRukBhNEJEhC5IlCqlR3iyMhggLAzKlnVcvEIIkWfs36/biBYvru/GCFFASPMnIcRdeeklKFECXFx0weLGDahWDS5etE/Xo4cUKIQQwkY6aYsCSgoVQoi7Yq2tSErShQqAvXvtO2k7O+taCiGEECn69tW1FXJxFAWMFCqEEHfthRduTnQHNwsXoNfv3y+1FEIIYcdkgqpVoU4dR0ciRLaSQoUQ4q6YzfDyy7rZ0608PHQ/xAceyP24hBBCCJH7pFAhhMiypCR49llYuFDfdPPysm8a/OefUqAQuWvu3LmUK1cONzc3GjRowPbt22+b/tq1awwcOJDAwEBcXV154IEHWLlyZS5FKwqtv/+Gnj1hwQJHRyJEtst3hYqs/HC0aNECg8GQ5tGxY0dbml69eqXZ3q5du9zIihD51rBhejZtZ2dYvBjGj9dNn5ydYdcuqF7d0RGKwmTx4sUMGzaMcePGsWvXLmrWrElISAgXLlxIN31iYiJt2rTh5MmTfP/99xw+fJhPPvmE0qVL53LkotDZtAm+/BK++87RkQiR7fLVkLLWH4558+bRoEEDZs2aRUhICIcPH8bPzy9N+mXLlpGYmGhbvnz5MjVr1uSJJ56wS9euXTsWpLpr4Jq6kbgQIo2hQ+HXX+G996BjR4iLg7Nn9fqgIEdHJwqbd999l379+tG7d28A5s2bxy+//ML8+fN57bXX0qSfP38+V65cYcuWLTg7OwNQTob2FLlBZtIWBVi+qqlI/cNRpUoV5s2bh4eHB/Pnz083ffHixQkICLA9wsPD8fDwSFOocHV1tUtXrFix3MiOEPlK6k7Y990H//yjCxSg+1DMmCEFCpH7EhMT2blzJ61bt7atMxqNtG7dmq1bt6a7z48//kijRo0YOHAg/v7+VKtWjSlTpmBOPWOjEDnBOpyszKQtCqB8U1Nh/eEYPXq0bd2dfjhu9dlnn9GjRw88PT3t1m/YsAE/Pz+KFStGq1atmDx5MiVKlMjwOAkJCSQkJNiWo6OjAUhKSiIp9XiaOcB6/Jw+T15TGPOdl/IcFQXdupkYPNjCo4/q0oXBYD98bHbJS/nOTfkl33ktvkuXLmE2m/H397db7+/vz6FDh9Ld5/jx4/z2228888wzrFy5kqNHjzJgwACSkpIYN25cuvvIdT/3Fbh8x8fjtH8/BiCpZs0ML6AFLt+ZUBjzDPkn35mNL98UKu7mhyO17du3s3//fj777DO79e3atePxxx+nfPnyHDt2jNdff5327duzdetWTCZTuscKCwtjwoQJadavWbMGDw+PLOTq7oWHh+fKefKawphvR+f5+nVnJkxoxNGjxdi3L5F589bi6przd3QdnW9Hyev5jouLc3QI98xiseDn58fHH3+MyWSibt26nD17lmnTpmVYqJDrvuMUlHwXO3yYh81mbvj4sHrvXj1E3m0UlHxnRWHMM+T9fGf2up9vChX36rPPPqN69erUr1/fbn2PHj1sr6tXr06NGjWoUKECGzZs4JFHHkn3WKNHj2bYsGG25ejoaIKDg2nbti3e3t45k4EUSUlJhIeH06ZNG1tb4MKgMOY7t/L81lvwzjvpb1MKEhKcUMqAm5ti9WoTtWqF5FgsUDg/a8g/+bbeoc8rSpYsiclkIjIy0m59ZGQkAQEB6e4TGBiIs7Oz3Y2jypUrExERQWJiIi4uLmn2ket+7ito+TaePAmAS6NGdEg1YMytClq+M6Mw5hnyT74ze93PN4WKu/nhsIqNjeXbb79l4sSJdzzPfffdR8mSJTl69GiGhQpXV9d0O3M7Ozvn2pciN8+VlxTGfOdUnhMT4dgxqFgR4uP10LCdOsHjj+vtV6/CtGlw5oxeXr7cwEMP5d57Xxg/a8j7+c5rsbm4uFC3bl3WrVtHly5dAF0TsW7dOgYNGpTuPk2aNOHrr7/GYrFgNOquhf/++y+BgYHpFihArvuOVGDyHRkJRiPGhx7CmIn8FJh8Z0FhzDPk/XxnNrZ801E79Q+HlfWHo1GjRrfdd8mSJSQkJPDss8/e8Txnzpzh8uXLBAYG3nPMQuRlw4dDlSrw3HN62WyGFSv0EOo9e8LgwTcLFK1agYy0LPKqYcOG8cknn/D5559z8OBB+vfvT2xsrG00qJ49e9r1x+vfvz9Xrlxh8ODB/Pvvv/zyyy9MmTKFgQMHOioLojCYMkV3UBsyxNGRCJEj8k1NBegfjtDQUOrVq0f9+vWZNWtWmh+O0qVLExYWZrffZ599RpcuXdJ0vo6JiWHChAl07dqVgIAAjh07xqhRo6hYsSIhITnbxEMIR7lwAZo2hSNHMr/PJ5/kXDxC3Kvu3btz8eJFxo4dS0REBLVq1WLVqlW2PninT5+21UgABAcHs3r1aoYOHUqNGjUoXbo0gwcP5tVXX3VUFkRhUaSIoyMQIsfkq0JFVn84AA4fPsymTZtYs2ZNmuOZTCb27dvH559/zrVr1yhVqhRt27Zl0qRJMleFKJD27tUzYd9aoDCZdE1Fev73Pz2ErBB52aBBgzJs7rRhw4Y06xo1asSff/6Zw1EJIUThka8KFZD1H45KlSqhUg+wn4q7uzurV6/OzvCEyNOWLIH9+28uGwy6M7ZSN19bubrqfhczZ+Z+nEIIUaB89BF8/jn07g39+jk6GiFyRL7pUyGEuHevvw5OTmAdrMbbG+rUgerVwcfHPm1Cgu64LbUUQghxjzZvhq1b4fx5R0ciRI7JdzUVQoisOXoUli27uVynDmzfrmfBjoqC2Fg4fDjtfgaD1FIIIUS22LFDP8tM2qIAk0KFEAXcN9/A2LHg5aVrKaysc9mkV6AAePllqaUQQoh7dv06WCfplUKFKMCkUCFEAXX4MPz1l27W5OwMbdtCyjD+fPYZpO6C5OQEycn6dadO8MQTN4eaFUIIcQ/27NEd1oKC4A7zagmRn0mhQogC6rXX9LwTVkuX6kd6rAUKgwHefVdPiCeEECIbWJs+1avn2DiEyGHSUVuIAqpvX/28cqWeOdvVVTeDio+Hjz++mc5guPm8cKEUKIQQIltJfwpRSEihQogCqmNH/Rv29ttQvjy8+CLMnq1Hddq0CdzddTrrMLITJ+qZtIUQQmSj4sWhdGmpqRAFnhQqhCigDAYYPx42btT9J8qV0yM9jRsHX36p09SooZ9nz4Y333RQoEIIUZDNmQNnzkBIiKMjESJHSZ8KIQqAP/64ObhIakpBmTLw5JNw6RJ4esIHH+jhZM1mWLUKYmLg/vtzP2YhhChUrG1NhSigpFAhRD63ejV07qybNd1Jly6waBEkJcHQoRAYmOPhCSFE4RUXp9uaSoFCFAJSqBAin0tI0A+DQfeJsM6MrZSewPWvv/Syn59O4+mpt40a5bCQhRCicOjbF377Tbcx7d7d0dEIkaOkUCFEPvX993rYWKX0PBRJSXrmbD8/ve7yZT1jNuiJ7y5cgK++gvfeg27dZLh0IYTIcTt36otvsWKOjkSIHCcdtYXIp5TSQ8VWraonrAPdP6J1a90p21qgAFi8WI8EVaoUvPCCfhZCCJGDrl2DI0f0axlOVhQCUqgQIp/q2hWqVIHERF1rUaOGrrFISNDDw1pVqADt2+v5KjZtAjc3x8UshBCFxq5d+rl8eShRwrGxCJELpPmTEPmU0aiHh+3eHf78U7/u2hW++AIiIvRkdwkJ8P77Or2fn2PjFUKIQkUmvROFjBQqhMjHunXTtRXjxukO2IGBeujYVav09goVoF07x8YohBCF0s6d+lkmvROFhBQqhMgHwsJg5sz0t924Af/8o1+7uOgO21bWWgohhBC5zFpTIYUKUUhInwoh8rgJE3Th4OJFsFjAyenmw2i0n59izpybr6WWQgghHMRigcceg4cfhjp1HB2NELkiy4WK0NBQNm7cmBOxCCHScf48nDun50/y99f9Jrp2hUcf1SNAJSbeTDt3rk7TrJmeZVuIvEp+S0SBZjTC9Onw++8ynKwoNLJcqIiKiqJ169bcf//9TJkyhbNnz+ZEXEKIFMOH69+n9u3h33/1TNjjx+uBRS5c0GmqV9d9K/btg7fego0bZbZskbfJb4kQQhQsWS5UrFixgrNnz9K/f38WL15MuXLlaN++Pd9//z1JqRtzCyGyxf33w9NP6xGeiheHKVPgp590H0CDQaeZN083feraVc+qLUReJ78lokA7cMB+siAhCoG76lPh6+vLsGHD2Lt3L9u2baNixYo899xzlCpViqFDh3LEOtmLECJbvPmmHia2aVP4/HPdTPexx3TzpyZNoHFjaNVKz1fh7OzoaIXIHPktEQVWx47g4wNbtjg6EiFyzT111D5//jzh4eGEh4djMpno0KEDf//9N1WqVGFmRkPVCCGyrFIl6NxZ/z4VL64nt9uwQW975x2HhibEPZPfElGgXLwIp07p11WrOjYWIXJRlgsVSUlJLF26lEcffZSyZcuyZMkShgwZwrlz5/j8889Zu3Yt3333HRNTT+krhLgnR4/Ctm26tqJhQz3B3dWrN2sphMhv5LdEFFjWmbTvvx+KFnVsLELkoizPUxEYGIjFYuGpp55i+/bt1KpVK02ali1b4uPjkw3hCVHwxcXpEZ5uZTbr57VroU8fXaDw9taFC4NBN32SWgqRX8lviSiwrIUKGUpWFDJZLlTMnDmTJ554Ajc3twzT+Pj4cOLEiXsKTIjComvXmzNgp+buDlOmeDN0qP4zrVZNd8h++GG9/fnnpZZC5F/yWyIKrN279bMUKkQhk+VCxXPPPZcTcQhR6Jw4AR99BPHxerldO/ua8qgoA2PGNAEMBAbC+vVQsiSMHq1rKiZNckjYQmQL+S0RBZbUVIhCKsuFCiFE9vjzT5g6Ffz8wGTSnbD9/fW2+Hg4e9aEUk44OVnYutVIyZJ62+TJjotZCCHEbURFwbFj+nXt2o6NRYhcJoUKIRzk8cchOFgPE1unjq6BWLMGypWDvXv1uipVLtGlS1HKlr2ngdqEEELkBoMBPvgAjh+HEiUcHY0QuUr+UxHCQVxd4fXX4dtvoWVLKFZMT2wHsHkzuLgkM3bsnwwZ4tAwhRBCZJa3N/TvD9OmOToSIXJdvitUzJ07l3LlyuHm5kaDBg3Yvn17hmkXLlyIwWCwe9zaKVApxdixYwkMDMTd3Z3WrVvLhEsi1/TuDUFBMGMGdOgAn30Ghw/rJk4mE7i6mmVEQiGEEELkefmqULF48WKGDRvGuHHj2LVrFzVr1iQkJIQLFy5kuI+3tzfnz5+3PU5ZJ6RJ8c477zB79mzmzZvHtm3b8PT0JCQkhBs3buR0doSw1VZ88w189RVYLNCjhx4+1sPD0dEJIYTIkiVLdEftpCRHRyJErstXhYp3332Xfv360bt3b6pUqcK8efPw8PBg/vz5Ge5jMBgICAiwPfytPWHRtRSzZs3izTffpHPnztSoUYMvvviCc+fOsWLFilzIkRC6RgL0vBS1a8OePbpZ7ssvOzQsIYQQWREXp+8K1a2rZ9UWopDJNx21ExMT2blzJ6NHj7atMxqNtG7dmq1bt2a4X0xMDGXLlsVisVCnTh2mTJlC1apVAThx4gQRERG0bt3alr5o0aI0aNCArVu30qNHj3SPmZCQQEJCgm05Ojoa0DPEJuXw3Qnr8XP6PHlNQc33Rx8ZefllXapwcjLTqJGFQ4egSBHo1y+JbdsKXp7vpKB+1neSX/Kd1+MTwmH+/ltXN/v5QWCgo6MRItflm0LFpUuXMJvNdjUNAP7+/hw6dCjdfSpVqsT8+fOpUaMGUVFRTJ8+ncaNG3PgwAGCgoKIiIiwHePWY1q3pScsLIwJEyakWb9mzRo8cqnNSnh4eK6cJ68pSPn+8cf7mD+/OgCPPnqMvn33YzBA27Z6+7Zt+rkg5TkrJN95U1xcnKNDECJvSj0/hcHg2FiEcIB8U6i4G40aNaJRo0a25caNG1O5cmU++ugjJt3DzGGjR49m2LBhtuXo6GiCg4Np27Yt3t7e9xTznSQlJREeHk6bNm1wdnbO0XPlJQUt3z/8YGD+fP3nN3KkmcmTy/DVV2UYMQI2bYL77y94ec4syXfezre1ZlYIcQuZSVsUcvmmUFGyZElMJhORkZF26yMjIwkICMjUMZydnalduzZHjx4FsO0XGRlJYKqqysjISGrVqpXhcVxdXXF1dU33+Ln1z0BunisvyQ/5Nptvv91ggM6doUsX/dvz5psmDAYTffpA166kGe0pP+Q5J0i+86a8HJsQDmWtqZBJ70QhlW86aru4uFC3bl3WrVtnW2exWFi3bp1dbcTtmM1m/v77b1sBonz58gQEBNgdMzo6mm3btmX6mEKktm6dHtHJySnjR5Eiel6k77+HMWPsa8ll+FghhMiHEhN1nwqQmgpRaOWbmgqAYcOGERoaSr169ahfvz6zZs0iNjaW3r17A9CzZ09Kly5NWFgYABMnTqRhw4ZUrFiRa9euMW3aNE6dOsXzzz8P6JGhhgwZwuTJk7n//vspX748Y8aMoVSpUnTp0sVR2RT52H336UJCSAh0735zvcUCixbBvn2gFJQqdXPUJyGEEPnc/v26YFGsGJQv7+hohHCIfFWo6N69OxcvXmTs2LFERERQq1YtVq1aZetoffr0aYzGm5UvV69epV+/fkRERFCsWDHq1q3Lli1bqFKlii3NqFGjiI2N5YUXXuDatWs0bdqUVatWpZkkT4jb+eYbOHtWv65TR8+I/fDD4OKiCxRLlsCOHXr7Sy+Bl5fjYhVCCJHNKlWC1av1ULLSSVsUUvmqUAEwaNAgBg0alO62DRs22C3PnDmTmTNn3vZ4BoOBiRMnMnHixOwKURQySkG/fnDjhi4sWCwQE6NnxXZxgdhYSE7WaYsUgXfecWy8Qgghspmn582h+4QopPJNnwoh8iqDAQYO1DNgHz0KUVHw/PO6ANGs2c0ChdEIb7whtRRCCCGEKHikUCHEXVAKzp+Hc+f049lnISkJJk7Uy888o2vBf/5Zpw8O1k1tBw50bNxCCCGyWWIijB6t27la7yIJUQjlu+ZPQjiaUvDII7B+fdpts2frR2omky6ATJoktRRCCFHgHDgAb78NPj7QrZujoxHCYaSmQogsevvt9AsUt7LOg+jqqoeKlVoKIXLO3LlzKVeuHG5ubjRo0IDt27dnar9vv/0Wg8EgI/6Ju7dzp36uW1c6aYtCTQoVQmRSXBxMmwaHDt1c5+kJTz4JPXrAY49BxYo3t3XsqPtRxMXBiBFSSyFETlm8eDHDhg1j3Lhx7Nq1i5o1axISEsKFCxduu9/JkycZMWIEzZo1y6VIRYFkHdqvbl3HxiGEg0nzJyEy6eJFGDVKFyRcXSEhQY/sZJ3wLjLy5mzabm56dMFnnoGSJSGDAcuEENng3XffpV+/frY5i+bNm8cvv/zC/Pnzee2119Ldx2w288wzzzBhwgT++OMPrl27losRiwIldU2FEIWYFCqEyKSyZaFzZ918dt48aN1ar/f01CM/nTt3M+2NG7qAMXkylCnjmHiFKAwSExPZuXMno0ePtq0zGo20bt2arVu3ZrjfxIkT8fPzo2/fvvzxxx93PE9CQgIJCQm25ejoaACSkpJISkq6hxzcmfX4OX2evCZf5DsxEad9+zAASTVq6BE77lG+yHc2K4x5hvyT78zGJ4UKIbJg3Dg9ud3Zs3pyuz/+gNOn7dMUK6YHA+nZUwoUQuS0S5cuYTabbZOgWvn7+3ModVvFVDZt2sRnn33Gnj17Mn2esLAwJkyYkGb9mjVr8PDwyFLMdys8PDxXzpPX5OV8Fz1+nBaJiSR6evLroUNw+HC2HTsv5zunFMY8Q97Pd1xcXKbSSaFCiAzExOjZr29tFeHvD/37w/3365GgQPfNs77+8ENo2lSnE0LkLdevX+e5557jk08+oWTJkpneb/To0QwbNsy2HB0dTXBwMG3btsXbOipDDklKSiI8PJw2bdrg7Oyco+fKS/JDvg2ffw6AU4MGdOjYMVuOmR/ynd0KY54h/+TbWjN7J1KoECId1v4T334Lzs7g62u/PS4O9u27uWwtUJQooTtuywAgQuSOkiVLYjKZiIyMtFsfGRlJQEBAmvTHjh3j5MmTdOrUybbOYrEA4OTkxOHDh6lQoUKa/VxdXXF1dU2z3tnZOdf+GcjNc+UleTrffftCq1YYY2MxZnOMeTrfOaQw5hnyfr4zG5sUKoRIx5UrsHChnhU7Ph6CgnThwioqSvebMJluds4GmDtXChRC5CYXFxfq1q3LunXrbMPCWiwW1q1bx6B0Rkh48MEH+fvvv+3Wvfnmm1y/fp333nuP4ODg3AhbFBQGA9x3n6OjECJPkEKFEOmoVAm6dIE9e/SoTq1a6U7XoGslKlSAEyf0JHhr1uj1DRroWgohRO4aNmwYoaGh1KtXj/r16zNr1ixiY2Nto0H17NmT0qVLExYWhpubG9WqVbPb38fHByDNeiGEEJknhQohMjB2rO6U3aGDniW7cWNdwPD31wUKd3ddoChdGoYM0XNRCCFyX/fu3bl48SJjx44lIiKCWrVqsWrVKlvn7dOnT2M0yrRMIpsdOKBH72jeHF5+2dHRCOFwUqgQIgO1a9+srUhI0K+Tk3VTKIAxY3TBY/Jk6NXLcXEKIWDQoEHpNncC2LBhw233XbhwYfYHJAq+LVtg6VK4elUKFUIgM2oLcVtjx8LJk7owkZQE1avDf//poWJHjYLz56VAIYQQhdJff+nnhx5ybBxC5BFSUyEKteHD4YsvMt5unevKYgGjURcwAKZO1Z20szAipRBCiIJEChVC2JFChSjUZs/WtRCZ8cADcOiQrqV44omcjUsIIUQeFh8P1lHE6tVzbCxC5BFSqBCF0qZN8O67utP12bO603Xz5je3R0fr5rIAbm7Qti38+KN+/f77upZCCCFEIbVnjx5P3M9P32kSQkihQhQ+CQn6BtPy5bqPxNmz+qbT9et6XgqDAQ4evJl+xw5dm7F5M3z/PbRo4bDQhRBC5AWpmz7J5ERCAFKoEIXMihXw2GM3l1PPgbV5883X1t8If3+oWlW/jogAJ/mLEUIIcekSuLjoCYqEEICM/iQKmVq19LOHBzRsqF//7383t1ubNSmln9evv7lNChRCCCEAmDhRt5MdMsTRkQiRZ8i/SaJQ2LgRzp3TrytX1s2bOnSAf//VN5xKl9bNoMzmm/sEBOi0QgghRBqurvohhACkUCEKgV9/1QWIW40dq5+tHbJv9dtvOReTEEIIIURBIs2fRIEXHKyfnZ1hyhSYMQMqVNDrqldPfx+ppRBCCJGut97SbWkXLHB0JELkKVKoEAVetWrQsaOeEVspGDYMVq3S21J31E5NaimEEEKka/Nm2LsXYmMdHYkQeYoUKkSh8Pbb+jksDGJi9Ov05pp4/nn4+WeppRBCCJEOpWD7dv1aRn4Swo70qRAFzttv647Zt/L1hYsXoW5dGDQIZs6EV165uT0oCKZPh6JFcy9WIYQQ+cjRo3D5sh5OtkYNR0cjRJ4iNRWiwNmyRXfOdnHRM2BbH9b5Jv79V6dZvPjmPtWqwenTUqAQQghxG9YJjR56SEZ+EuIWUlMhCpzRo+Gnn+Dpp+HJJ/W6mBg9H4XRCBaLnnNi82aoUkUXPr74QiZFFUIIcQfWQkWTJo6NQ4g8SGoqRIHTqBGEhMCECboAERWll9evvzmp3Vdf3XzevTvjUaCEEEIIGylUCJGhfFeomDt3LuXKlcPNzY0GDRqw3dphKh2ffPIJzZo1o1ixYhQrVozWrVunSd+rVy8MBoPdo127djmdDZGNBg7U/SVSP7Ztg3/+0c2ZSpbUzZ08PHShonlzvV/t2vohhBBC3JHZDPXqwX33QePGjo5GiDwnXzV/Wrx4McOGDWPevHk0aNCAWbNmERISwuHDh/Hz80uTfsOGDTz11FM0btwYNzc3pk6dStu2bTlw4AClS5e2pWvXrh0LUo037SrtJPMVNzc9K/aoUVCs2M31H3+s+0mYzbrpq7e3bgL11lvw6qswd67jYhZCCJHPmEy6rawQIl35qqbi3XffpV+/fvTu3ZsqVaowb948PDw8mD9/frrpFy1axIABA6hVqxYPPvggn376KRaLhXXr1tmlc3V1JSAgwPYolvo/U5EnXbsG06bBpEn6Ou/kpEf5S0rSj6tX9cNs1ulfeAEiI2HMGH2TackSSKccKoQQQggh7kK+qalITExk586djB492rbOaDTSunVrtm7dmqljxMXFkZSURPHixe3Wb9iwAT8/P4oVK0arVq2YPHkyJUqUyPA4CQkJJCQk2Jajo6MBSEpKIikpKSvZyjLr8XP6PHnNrfk+cADGjQNPTyhSBHx8dKHixAnd4TomBqKjTRgMBkqUSGb1anjmGbj/fl3oyA/ks5Z850V5PT4hcszx41CunB7xQwiRRr4pVFy6dAmz2Yy/v7/den9/fw4dOpSpY7z66quUKlWK1q1b29a1a9eOxx9/nPLly3Ps2DFef/112rdvz9atWzGlNzsaEBYWxoQJE9KsX7NmDR4eHlnI1d0LDw/PlfPkNanz/c03t0+bkGAiOtoZX98btnUrV+ZUZDlHPuvCJa/nOy4uztEhCJH7EhP1uOSurrB/v57YSAhhJ98UKu7V22+/zbfffsuGDRtwc3Ozre/Ro4ftdfXq1alRowYVKlRgw4YNPPLII+kea/To0QwbNsy2HB0dTXBwMG3btsXb2zvnMoG+SxgeHk6bNm1wdnbO0XPlJdZ816nThmrVnCleHAICYO9e3dm6eHH4+284d86IyWTBYNCdtDt3hhs39Ovp0x2di6wp7J+15DtvstbMClGo7Nqlf0w8PSFVn0whxE35plBRsmRJTCYTkZGRdusjIyMJCAi47b7Tp0/n7bffZu3atdS4wwyY9913HyVLluTo0aMZFipcXV3T7czt7Oyca/8M5Oa58oLTp/VzvXrOxMc7c+qU7pydkKBHenJ1hfh4PbqT2WwiMBAiInTn7fLl8/ccFIXts7aSfOdNeTk2IXKMdSjZxo3z9w+KEDko3zQMdHFxoW7dunadrK2drhs1apThfu+88w6TJk1i1apV1KtX747nOXPmDJcvXyYwMDBb4hbZwzq/RFycrqFQCpyd9fCxZrNeb01jseg+Fb166U7Zcv0XQghxT2R+CiHuKN8UKgCGDRvGJ598wueff87Bgwfp378/sbGx9O7dG4CePXvadeSeOnUqY8aMYf78+ZQrV46IiAgiIiKIiYkBICYmhpEjR/Lnn39y8uRJ1q1bR+fOnalYsSIhISEOyaOwd+OGnvW6ZUu9bDbrAoObmx4B6tbm3e7uNztqv/56rocrhBCioFFKChVCZEK+af4E0L17dy5evMjYsWOJiIigVq1arFq1ytZ5+/Tp0xhTjcrw4YcfkpiYSLdu3eyOM27cOMaPH4/JZGLfvn18/vnnXLt2jVKlStG2bVsmTZokc1XkEc7OuiDhlOqb6uUF/frpIWVTyoc28fEwYICuobjvvtyNVQghRAF07BhcuAAuLnryOyFEuvJVoQJg0KBBDBo0KN1tGzZssFs+efLkbY/l7u7O6tWrsykykZ2OH4fnntM1FQkJ+noOelbs06dhxYqbzZ1Sq1MH3n9fmjwJIYTIJtZairp1dTW5ECJd+ar5kyg8jEbdATshAdq107Nhg34NcOZM2n0MBpg4UQoUQgghslHdunrm1JSm1kKI9OW7mgpRsIWHQ58+ekhwZ2f45x9dS2EtKKxbp2ug4+KgWDE9azZA9eqwejVI/3ohhBDZqlo1/RBC3JYUKkSe0rdv2lqIixd1B+x164KJjHSyNXuyFii8vODtt6VAIYQQQgjhKNL8SeQpzz6rmz55e8O+fdCtG5QsCSNGGJkzpw5KGTAab3bcdneHK1egQwfHxi2EEKIA2rcPfvhB/9AIIW5LaiqEw61cCT/9pF/Hx+tCRXQ0PP88VKyoJ7mbNMkEgMlkxmw2YbHoZlBvvWU/MpQQQgiRbebPh/fe08MKzp3r6GiEyNPk3zHhUOvWQY8ecP267kNhMOjJ6wC2b4cdO26m7dr1X1avLk9MjIk6dfQ26ZQthBAix1hHlWzRwpFRCJEvSPMn4TDffQczZugCBejZsStV0g9rYcFawHByMvPsswcxm+Gxx2DOHClQCCGEyEGXL+vmTwDNmzs2FiHyAampEA5x9CgsWgS//gqenno+ishI3X/C1RVKlNDNnkAvG40WDAZdoFi0yLGxCyGEKATWrNETIlWvDn5+jo5GiDxPChUi1+3bBzVr3lyOjbXfdqvUk9y9/nrOxSWEEELY/PKLfpaRQITIFGn+JHLVkiX2BYr0ODnZN21KTLxZ8/zAAzkXmxBCCAGA2QyrVunXUqgQIlOkUCFyhVKwcaOeyA70qE4AHTvq5zp1bqZNTr5ZO+HqCj4+MHt2roUqhBCisNu7V/epKFoUGjd2dDRC5AvS/EnkitGjYerUm8tHj+pna+3yrl1p9ylZElasgKAgKFVKz64thBBC5Lg6deDYMfj3Xxm3XIhMkpoKkSvatNHP/v4weLB+/dBD+rlUqfT3CQuDJk2gbNmcj08IIYSwc9990K6do6MQIt+Q4rfIFY88ooeKPXwYQkPh5EndKdvNDc6dS5s+IAB69871MIUQQgghxF2QQoXIEYmJ8O67cOXKzXU1a+pCRceO0LIlnDiR/r4NG+oZtk2m3IlVCCGEsPn2W/j6a+jTB7p0cXQ0QuQbUqgQOSIuDsaOBRcXKF365npnZzh/HlavTruP0agLFJs2ycR2QgghHGTZMn1nq3ZtKVQIkQVSqBA5wsdHN19atkx3wvb01OvXrYPWrXUBolgxuHr15j4jR8LkyVKgEEII4SBJSXrSO3DYULJmsxknJydu3LiB2Wx2SAy5LSkpqdDlGfJOvp2dnTFlQ/MQKVSIHPP66zB/PnzwgS4wnDunb/6UK6f7VLRvr2fUBujVC954QwbZEELcnblz5zJt2jQiIiKoWbMmc+bMoX79+umm/eSTT/jiiy/Yv38/AHXr1mXKlCkZpheFyNatEBWlhx+sVy9XT62UIiIigqtXrxIQEMB///2HoZDcZVNKFbo8Q97Kt4+PDwEBAfcUh/wLJ7LF1au66dJ//9mvVwpGjYIxY3Q/C6Vujub066+630T//rr/hbNz7scthMj/Fi9ezLBhw5g3bx4NGjRg1qxZhISEcPjwYfz8/NKk37BhA0899RSNGzfGzc2NqVOn0rZtWw4cOEDp1O01ReGzcqV+btcu1zv2RUREcO3aNXx9fbFYLHh5eWE0Fo5BOi0WCzExMRQpUqTQ5BnyRr6VUsTFxXEhZSKxwMDAuz6WFCpEtjh9Wg/nDfoGj7WgazbrztoJCXrZ0xPOnAFfX7h4EZ59FubMcUzMQoiC4d1336Vfv370Thkybt68efzyyy/Mnz+f1157LU36RYsW2S1/+umnLF26lHXr1tGzZ89ciVnkUdbJk3K56ZPZbObatWv4+flRrFgxoqOjcXNzKzT/YFssFhITEwtVniHv5Nvd3R2ACxcu4Ofnd9dNoQrPJydyzMMP6/kkrH8PUVG6o3ZcHMTH26cNCYESJeDHH6FbN5g3L/fjFUIUHImJiezcuZPWrVvb1hmNRlq3bv3/9u47vqmqf+D4J0k3bSkto5TVslGmbJSljCoORByIUpQHkCWCzEc2YgFBGSog/BgOhrIFrJY+IiAIAhaZFWoZQsumpZSu5Pz+uElo6KDQkY7v+/XKq8nNyb3nJOnJ/d6z2Lt3b7b2kZCQQEpKCt7e3nmVTVEYnDsHR49qP2adOuXroVNSUgBwc3PL1+MKYWH57lm+iw9DWipEjpUqpY1t698fFizQ1p6YNAliYuCzz+6mCwjQgokZM7SuUt9/b7csCyGKiKtXr2I0GilXrpzN9nLlynHy5Mls7WP06NH4+fnZBCb3SkpKIsnS5ArExcUB2g9wTn6Es8Oy/7w+TkGT7+W+dAlD69YAGD09tR+2fJKSkoJSynoDrVuKyWTKtzzYU3EsMxSsclu+eykpKelaKrL7PyhBhXgoUVHw9dfaGIny5bXxEjEx2urYFy/Cjh3a1LBpWyqioqBsWXjnHbtlWwghbEyfPp3Vq1ezY8cOXFxcMk0XHBzM5MmT023/+eef8+3qcmhoaL4cp6DJ13K//77Wb9cytiKfODg44OvrS3x8PMnJyQDcunUrX/NQEOSkzPXr12fAgAEMGDAgW+lXrlzJ2LFjOXv27EMfE6BUqVJ88803dOnS5aH3URA+6+TkZO7cucPOnTtJTU21eS4hISFb+5CgQjyUn36CiRO1VgpXV611YvNmbSpZ0GZ5SjuBwAsvwPbtMG4cSOuuECK3lC5dGoPBwKVLl2y2X7p0CV9f3yxfO2vWLKZPn8727dupX79+lmnHjh3L8OHDrY/j4uKoVKkSnTp1wtPT8+ELkA0pKSmEhobSsWNHHIvRjBbFqdyJiYmcP38ed3d3nJ2duXXrFh4eHnafEeh+7tf3fsKECUycOPG++1FK5bjMer0eFxeXbP8/uri4oNPpcuX/19XV9aH2kxvlzi2JiYm4urrSpk2bdBdYLC2z9yNBhXgor7+uTQHbo4fWxenQIWjcGGbO1KaQPXjw7mBsvR6WL9f+5vFvrxCimHFycqJx48aEhYXR1bxQmclkIiwsjMGDB2f6upkzZzJt2jR++uknmmRj6lBnZ2ecnZ3TbXd0dMy3E978PFZBki/ljo7WpiAsXTpvj5MJo9GITqdDr9dbTy4tjwuy6Oho6/01a9YwYcIEIiIirNvSzmqklLKuwXEvS9efnJb5QV5vSZcb77Fer3+o/eRWuXOD5buX0f9bdv//Cva3VRRYnp5aK/HixdpsTo89Bs2ba+MqqlfX0ly+rHWPeu01rQVDAgohRF4YPnw4ixcvZsWKFZw4cYIBAwZw+/Zt62xQvXr1YuzYsdb0M2bMYPz48SxduhR/f39iYmKIiYkhPj7eXkUQ9jZzptY/d9o0e+ckx4xGIzt27GDVqlXs2LEjTxdV8/X1td5KliyJTqezPj558iQeHh78+OOPNG7cGGdnZ3bv3k3v3r2tFwAshg0bxrPPPmt9bDKZCA4OJiAgAFdXVxo0aMDatWsfKG+ffPIJ9erVo0SJElSqVImBAwdm+D++ceNGatSogYuLC507d+b8PXPjb9q0icceewwXFxeqVq3K5MmT03UPskhOTmbw4MGUL18eFxcXqlSpQnBw8APluzCTlgrx0AYPhtmzYfp0bZXsgwchNVVbRdvZWZtG1mCwHawthBC57dVXX+XKlStMmDCBmJgYGjZsSEhIiHXw9rlz52yuAi5YsIDk5GS6d+9us5+JEycyadKk/My6KCi2bdOugtWpY++c5Mj69esZOnQo//77r3VbxYoVmTt3Lt26dbNLnsaMGcOsWbOoWrUqpUqVytZrgoOD+eabb1i4cCE1atRg586dvPHGG5QpU4a2bdtmax96vZ558+YREBDAP//8w8CBAxk1ahRffPGFNU1CQgLTpk3jq6++wsnJiYEDB/Laa6/x22+/AbBr1y569erFvHnzaN26NZGRkfTr1w8gw25d8+bNY/PmzXz33XdUrlyZ8+fPpwtSijIJKsR9/f67Nl4iI/Xqad2dFiwAk0lrjYiL08ZT6HQwbNjdcRZCCJFXBg8enGl3px07dtg8PnPmTN5nSBQep09rCy05OGhXyAqp9evX0717d+uMQhYXLlyge/furF271i6BxZQpU+jYsWO20yclJfHRRx+xfft2WrZsCUDVqlXZvXs3ixYtynZQ8d5771nv+/v78+GHH/LOO+/YBBUpKSl89tlnNG/eHIAVK1ZQp04d9u/fT7NmzZg8eTJjxowhKCjImo+pU6cyatSoDIOKc+fOUaNGDZ544gl0Oh1VLKv9FhMSVIgs7d2rDcgODdUGZd/bFfLOHe3ijlLa+IqfftK2lysHhw9rrclCCCFEgfXDD9rf1q0LbT9do9HI0KFD0wUUoI1l0Ol0vPfee7zwwgsPvbDZw8rOmKW0Tp8+TUJCQrpAJDk5mUaNGmV7P9u3byc4OJiTJ08SFxdHamoqiYmJJCQkWGdsc3BwoGnTptbX1K5dGy8vL06cOEGzZs04fPgwv/32G9PSdIszGo3p9mPRu3dvOnbsSK1atQgMDOTZZ5+lUz6veWJPhS6o+Pzzz/n444+JiYmhQYMGzJ8/n2bNmmWa/vvvv2f8+PGcOXOGGjVqMGPGDJ5Js1KmUoqJEyeyePFibt68yeOPP86CBQuoUaNGnpbDaDSya9cuoqOjKV++PK1atWLPnj3Wx61bt37gf/x799m8eXMWLVpEZGQk1apVY+DAgRgMBnbs2MH27ds5cOAAJUqUoHXr1gwZMgQnJyeb/V2+DI8/rlBKGzR240ZWR1fcvBnBzZs1eeml81Sq9A9TpqxDKUWNGjXo378/+/btIzo6mrJly2I0Gvn11185f/48FStWpFSpUly/ft3aTFilShXatm2LTqdj586dgFYxrV69mmvXrlGqVCn++OMPjEYjBoOBpk2bcuPGDXx8fLh27RplypShQoUK6d7XVq1asWvXLuuVy9atW1uPkZSUxJ49e4iNjaV69ep8/fXXuLu7W9/bHTt2WF/Xrl072rVrB5DhdoPBkO7zyM5nmvY195u5RgghRC5Ys0b7++KL9s1HDuzatcumy9O9lFKcP3+eXbt2WX+78kuJEiVsHuv1+nTBT9p1ECzjHrZu3UqFChVs0mU0WUJGzpw5w7PPPsuAAQOYNm0a3t7e7N69mz59+pCcnJztaaDj4+OZPHlyhi08GU1B/dhjjxEVFcWPP/7I9u3beeWVV+jQocMDjwcptFQhsnr1auXk5KSWLl2qjh07pvr27au8vLzUpUuXMkz/22+/KYPBoGbOnKmOHz+uxo0bpxwdHdWRI0esaaZPn65KliypNm7cqA4fPqyef/55FRAQoO7cuZPtfMXGxipAxcbGZiv9unXrVMWKFRVgvRkMBpvHFStWVOvWrUv32uTkZLVx40aVnJx8333ee9Pr9crFxSXT50aOHGnd399/K/Xhh78one66ApOCIwriFExWMF7BBAU3zG0USQqumu8vyTIPD3tzdXVVGzduVK6urg/0unvfV71e/0Cvb9q0qVq3bp3y8fFJ95y7u7tyd3dPt93Hx0eNHDky3eeR2Wea2WdoKXNWrymKMvuOF3WFpdwPWt8VVfn5PhSW70Zuy5dynzqlNbbr9UrFxOTdce7jzp076vjx4+rOnTvKaDSqGzduKKPRmO3Xr1y5Mlu/aStXrsyzMixbtkyVLFnS+viXX35RgLpx44ZNulGjRqmmTZvabGvVqpV6/PHHldFoVHFxccrZ2Vl99dVXD3T8KlWqqE8//VQppdTatWuVo6OjzXs4depUm/wsW7ZMAWrfvn3WNCdPnrTZ1qpVK/X2229neVxAbdiwIcPnQkJCFKCuXbuW4fMP81nnlbTfwXtlt74rVEFFs2bN1KBBg6yPjUaj8vPzU8HBwRmmf+WVV1SXLl1stjVv3lz1799fKaWUyWRSvr6+6uOPP7Y+f/PmTeXs7KxWrVqV7Xw9yI/LunXrlE6nu+8/vk6nUzqdLt0JZUaVbHb3mZ3byJEj1a5dyhxIqPvcks3p3lUwUsEdBQEFKqgoSLfMPtPMPkNLmd3c3IpVYCEnUAW73BJUaCSoyHv5Uu4pU7QftE6d8u4Y2ZDToMJyAn+/2y+//JJnZchuUBESEqJ0Op1asWKF+vvvv9WECROUp6enNahQSqkPPvhA+fj4qOXLl6vTp0+rgwcPqnnz5qnly5dnevy0QUV4eLgC1Jw5c1RkZKT66quvVIUKFWzys2zZMuXo6KiaNWumfv/9d3XgwAHVokUL1aJFC5u8Ojg4qEmTJqmjR4+q48ePq1WrVqkPPvjAmiZtUDF79my1cuVKdeLECRUREaH69OmjfH19M/0si1pQUWimlE1OTubgwYN0SDOISq/X06FDB/bu3Zvha/bu3WuTHqBz587W9FFRUcTExNikKVmyJM2bN890nzmRVZ/He1nSvPfee1lOB/cg+8yO2bM/4amnFHC/RVgU4AjEAV8CHwOVgahcyUdRlNlnmp3P8H7fAyGEEA9hyBBYsgRGjLB3TnKkdevWVKxYMdMF1HQ6HZUqVaJ169b5nLP0OnfuzPjx4xk1ahRNmzbl1q1bvPnmmzZppk6dyvjx4wkODqZOnToEBgaydetWAgICsnWMBg0a8MknnzBjxgzq1q3Lt99+m+HUrm5ubowePZrXX3+dxx9/HHd3d9ZYusOZ87plyxZ+/vlnmjZtSosWLfj0008zHYDt4eHBzJkzadKkCU2bNuXMmTNs27bN7mtQ5JdCM6bi6tWrGI1G6xSBFuXKlePkyZMZviYmJibD9DExMdbnLdsyS5ORpKQkkpKSrI8tKw2mpKTY9Au81+7du7l27Rqurq6ZprnX1atX2blzJ0888YT1GGn/Psw+76d27d2cPPko4AEMA3Qo9QkpKdEYjZVxcDDi6JiCtszJZLQAxBWIN//NfZby5WY57eXezzSzz9Dy2MXFJd1rirJ7v+PFRWEpd0HPnxAPxMsL+vSxdy5yzGAwMHfuXLp3745Op7O5SGUJNObMmZOng7R79+5N7969rY/btWuX6cWyyZMnM3nyZOtjk8lks2qzTqdj6NChDB06NNvHv3dWt2HDhjFs2DCbbWmDl7T5zWpWrM6dO9O5c+dMn09bxr59+9K3b99s57moKTRBRUESHBxs889g8fPPP9938M+qVase+HhxcXFs27bNZltoaGiO9pm168Au8/2OmEzw5Zf/EhKiXSF4++1jPPOMpUWirfmWP5YuXZpvx8pL936mWX2GljJn9D0oytJ+x4uTgl7uhIQEe2dBCJGBbt26sXbt2gzXqZgzZ47d1qkQxUehCSpKly6NwWDg0qVLNtsvXbqU6Sw5vr6+Waa3/L106RLly5e3SdOwYcNM8zJ27FiGDx9ufRwXF0elSpXo1KkTnllMR7d79266dOmS6fOZ2bp1q01LRWhoKB07dsTR0fGh95mVvn37snhxPeA5lPImJeV3jMYAQOHoaOTrr2vz9dd1gNHAwlw9dmZcXV1ZunQpb7/9Nnfu3MmXY+altJ9pZp/hvWVO+5qi7N7veHFRWMqd9mqiEIVWYiIEBsJLL0G/ftqKrUVAt27deOGFFx545kEhckOhCSqcnJxo3LgxYWFh1uXdTSYTYWFhmS541LJlS8LCwmwWQAkNDbUuphIQEICvry9hYWHWICIuLo59+/YxYMCATPPi7Oyc4bRmjo6OWZ4MtGnTBh8fHy5cuJCtMRA6nY6KFSvSpk2bdBWC5VgPus/7MRgMTJ8+nTVrnuTSpSDgNtAaSAX0pKQYSElxQGvNWAAk5viYD+LOnTuFOqjI6DO932eYmJhI6dKlM/weFGX3+38qqgp6uQty3oTItg0b4Ndf4Z9/YOBAe+cmVxkMhnyfNlYI0DrFFxrDhw9n8eLFrFixghMnTjBgwABu377NW2+9BUCvXr0YO3asNf3QoUMJCQlh9uzZnDx5kkmTJnHgwAFrEGJZDObDDz9k8+bNHDlyhF69euHn52cNXHKTpc+j5dhZyW4fyAfZZ3YMHz4cV1dXPv98JPAv4GV+Zifa10UHXAMCyO+AorDL7DPNzmeY131hhRCiWPm//9P+vvUWSN0qRK4oVEHFq6++yqxZs5gwYQINGzYkPDyckJAQ60Drc+fOER0dbU3fqlUrVq5cyZdffkmDBg1Yu3YtGzdupG7dutY0o0aNYsiQIfTr14+mTZsSHx9PSEhIhoua5AZLn8d7F3S594SxYsWKrF27Nlt9IDPb5730en2m5dLr9YwcOZKZM2cC8NJL3Xj55US0WZ7OAu3N95cDndBmfdK66Pj4+Nw3j/Zy7/v6oDMwNG3alHXr1mVYRnd3d+vieGn5+PgwcuRIKlasaLM9q880q8/w66+/lr6wQgiRWyIjISxMu2++KCmEyDmdyq25SIuxuLg4SpYsSWxsbJZjKtJ62BW1U1JS2LZtG88880y6bgi5vaI2wKuvmvj+ex1K6QgI+JuOHWdz6dIlPD09efPNN3nyyScBrMctW7YsABcvXmTfvn25vqJ2XFxcsVpROy4uLsPPuijL6jtelBWWcj9MfVcU5ef7UFi+G7ktz8o9dCjMmwdPPw0FZPKLxMREoqKiCAgIwMnJibi4ODw9PYvNVKSW2Z+KU5mhYJU77Xfw3gvQ2a3vJKjIBUXlxyU2FkaOhBkzoFQpbVtUFNSsCc2awcaNUKZMrh4y24rjj2pxLDNIuQt6uSWo0BSVer8gy5Nyx8ZCxYoQHw8//wwdO+bOfnNIgoqCc3KdnwpSuXMjqCg0A7VFziQkQO3aYG4IyNK5cxASot0PCIDdu6FWLW06byGEEKLQWrpUCygeeQTuWRxXCJEzElQUE9u3Zy+g0Oth+nTbbc2b502ehBBCiHzVvDk8/zw89xzkwuQmQoi7ik8bUzH2+usQHAyW1uMSJaBFC+322GOQtpVr8WLIYokOIYQQovBq1Qo2bYL//MfeOREPoXfv3jazc7Zr185m2YD8smPHDnQ6HTdv3sw0jU6nY+PGjdne56RJk7JcIy07zpw5g06nIzw8PEf7eVgSVBQDhw7BsWNaAAFw+zb4+mrdSk+c0NYAAm28xNtv2y+fQgghhChcevfujU6nQ6fT4eTkRPXq1ZkyZQqpqal5fuz169czderUbKXNTiAgckaCimJg3Di4dQs+/RTMs+9y4QJER0PadeRWrbJP/oQQQog8tWsXvPce/PuvvXOS927dgj/+gMOHIR9O7AECAwOJjo7m1KlTvP/++0yaNImPP/44w7TJycm5dlxvb288PDxybX8iZySoKAZee02bwWn6dBg/Xtv2xx/Qp8/dNOXLw1NP2Sd/QgghRJ5RCkaMgLlztb7ARVVcHAwapP2gN2um9WUOCNCuKObxRJ/Ozs74+vpSpUoVBgwYQIcOHdi8eTNwt8vStGnT8PPzo1atWgCcP3+eV155BS8vL0qXLs3rr7/OmTNnrPs0Go0MHz4cLy8vfHx8GDVqFPdOWHpv96ekpCRGjx5NpUqVcHZ2pnr16vzf//0fZ86coX379gCUKlUKnU5H7969AW0GpuDgYAICAnB1dbWua5bWtm3bqFmzJq6urrRv394mn9k1evRoatasiZubG1WrVmX8+PGkpKSkS7do0SIqVaqEm5sbr7zyCrGxsTbPL1myhDp16uDi4kLt2rX54osvMj3mjRs36NmzJ2XKlMHV1ZUaNWqwbNmyB857dslA7SLmwoWMp91+4glt0ovq1aFkSW1WvdGjtXFqSsHXX+d/XoUQQog89913sH8/uLvDhAn2zk3euH1bm80qIkILoJ5/XpvlasUKGD4c/vkH5s/Pt+y4urpy7do16+OwsDA8PT0JDQ0FtOmCO3fuTMuWLdm1axd6vZ5JkybxzDPP8Ndff+Hk5MTs2bNZvnw5S5cupU6dOsyePZsNGzZY18fKSK9evdi7dy/z5s2jQYMGREVFcfXqVSpVqsS6det46aWXiIiIwNPTE1dXVwCCg4P55ptvWLhwITVq1GDnzp288cYblClThrZt23L+/Hm6devGoEGD6NevHwcOHOD9999/4PfEw8OD5cuX4+fnx5EjR+jbty/u7u7079/fmub06dN89913/PDDD8TFxdGnTx8GDhzIt99+C8C3337LhAkT+Oyzz2jUqBF//vknffv2pUSJEgQFBaU75vjx4zl+/Dg//vgjpUuX5vTp09xJ20Ull0lQUYTcuAGtW2trS2Tmk0/u3r9yRfsrrRRCCCGKpKQkGDtWuz9q1N0+wEXNwoUQHg5790Ljxne3t2kDjRrBkCHQu7ftc3lAKUVYWBg//fQTQ4YMsW4vUaIES5YssS6y+80332AymViyZAk6nQ6TycTnn3+Ov78/O3bsoFOnTsyZM4exY8fSrVs3cxEX8tNPP2V67L///pvvvvuO0NBQOpinC65atar1eW9vbwDKli2Ll3mO/KSkJD766CO2b99Oy5Ytra/ZvXs3ixYtom3btixYsIBq1aoxe/ZsAGrVqsWRI0eYMWPGA70348aNs9739/dnxIgRrF692iaoSExM5KuvvqJChQoAzJ8/ny5dujB79mx8fX2ZOHEis2fPtr4nAQEBHD9+nEWLFmUYVJw7d45GjRrRpEkT63HzkgQVRYjBAFevavdbtNDqEYvoaNi8GUwm8PSE5OS7A7SllUIIIUSR9MUX2pW28uW1K/ZF1ZIl8PLLGQcN77wDM2dqafIoqNiyZQvu7u6kpKRgMpl4/fXXmTRpkvX5evXqWQMKgMOHD3P69Ol04yESExOJjIwkNjaW6OhomqeZ097BwYEmTZqk6wJlER4ejsFgoG3bttnO9+nTp0lISKDjPYsgJicn08h8EnXixAmbfADWAORBrFmzhnnz5hEZGUl8fDypqanpFpKrXLmyNaCwHMdkMhEREYGHhweRkZH06dOHvn37WtOkpqZSsmTJDI85YMAAXnrpJQ4dOkSnTp3o2rUrrVq1euC8Z5cEFUWIp6dWZ374Ifz9N4SGaq29//ufNiW3yaSl8/eHo0e1+02bSiuFEEKIIujGDbDMDDR1qjafelH1zz8wcGDGzzk4aD/2//yTZ4dv3749CxYswMnJCT8/PxwcbE8vS9zz3sfHx9O4cWNrtx6TyUR8fDzu7u6Ue8jWJEt3pgcRHx8PwNatW21O5kEbJ5Jb9u7dS8+ePZk8eTKdO3emZMmSrF692tr68SB5Xbx4cbogx2AwZPiap59+mrNnz7Jt2zZCQ0N56qmnGDRoELNmzXr4wmRBgopC7uhRmDYNjEbtcXKyNk7i+nVtOu6SJbXWUMvzdevCX39p08d+/73WMiqEEEIUOR9/rAUWdetqXX+KslKlIKvBw2fOaDO25JESJUpQvXr1bKd/7LHHWLNmDWXLlsXT0xOTyURcXByenp7o9docQuXLl2ffvn20MZ+opKamcvDgQR6zzI9/j3r16mEymfj111+t3Z/SsrSUGC0nRMAjjzyCs7Mz586dy7SFo06dOtZB5xa///57tssKsGfPHqpUqcIHH3xg3Xb27Nl06c6dO8fFixfx8/OzHkev11OrVi3KlSuHn58f//zzDz179sz2scuUKUNQUBBBQUG0bt2akSNH5llQIbM/FXJnzsDq1VpwERurTRFbubL23LFjsHu3FlBYFrjbsAE6dtRaQtu2lQVFhRBCFFHvv69NI/vxx1r/4KKsRw9tUPb16+mf27lTW7CqR4/8z1cmevbsSenSpXnhhRfYtWsXUVFR7N69m6FDh/KvedrfoUOHMn36dDZu3MjJkycZOHBglmtM+Pv7ExQUxNtvv83GjRuJiopix44dfPfddwBUqVIFnU7Hli1buHLlCvHx8Xh4eDBixAiGDRvGihUriIyM5NChQ8yfP58VK1YA8M4773Dq1ClGjhxJREQEK1euZPny5Q9U3ho1anDu3DlWr15NZGQk8+bNY8OGDenSubi4EBQUxOHDh9m1axfvvvsur7zyCr6+vgBMnjyZ4OBg5s2bx99//82RI0dYtmwZn6QdMJvGhAkT2LRpE6dPn+bYsWNs2bKFOnXqPFDeH4QEFYXcM89oF2EqVoSfftJuBw+Ch8fd7k7lymnjJ55+Wpv96eefi/5FGyGEEMWcj482nWpgoL1zkveGDdP+duigrcmhlNZ1YeVK6NYNWrbUThgKCDc3N3bu3EnlypXp1q0bjz76KEOGDCExMdE6zuD999/nzTffJCgoiJYtW+Lh4cGLL76Y5X4XLFhA9+7dGThwILVr16Zv377cvn0bgAoVKjB58mTGjBlDuXLlGDx4MABTp05l/PjxBAcHU6dOHQIDA9m6dSsBAQGANs5h3bp1bNy4kQYNGrBw4UI++uijByrv888/z7Bhwxg8eDANGzZkz549jLfM8Z9G9erV6datG8888wydOnWifv36NlPG/uc//2HJkiUsW7aMevXq0bZtW5YvX27N672cnJwYO3Ys9evXp02bNhgMBlavXv1AeX8gSuRYbGysAlRsbGyeHys5OVlt3LhRJScnW7d9/71SoNTu3XfTTZyobQOlfH21v1FReZ69PJNRuYu64lhmpaTcBb3c+VnfFWT2rveLg4cu919/KWU05k2m8sidO3fU8ePH1Z07d5TRaFQ3btxQxgctQ3i4UrVraz/4Xl5Kublp97t0UeratbzJeC556DIXcgWp3Gm/g/fKbn0nLRVFQLduWmvF5Mna4GyjEf7zn7tdm2JitFaKPJ5JTAghhLCviAht+sPAQK1PcHHSoIHW7zk0VJs+d8oUrW/0li1gnk5ViLwkA7WLAL0eJk7UZpMLDdW6NtWseXdhO51Om1VPCCGEKLKSk6FnT0hI0K6u3TNdabGg12tdoDIYqCxEXpOgoog4efLufW9vmDULgoLg1CkYMEBaKYQQQhRx48drgwq9veGrr7QTbCFEvpGgopBTSqtHp027uy0qCm7dgkmT7s4EJYQQQhRZYWHaLE+gLfJ2z5oDQoi8J2F8IaYUjBhxN6CYMUMbW7FhA/TpIwGFEEKIYuD4cejeXftR7NsX7jNDkBAib0hLRSE2fDjMmaPdnz8fBg+GRx+Fd96BsWPtmjUhhBAi75lM8NprcPOmNm3q3Ln2zpEQxZa0VBRiHTuCs7PW0muebpkuXeDsWWmlEEIIUQzo9fDNN/Dkk7B5M7i62jtHQhRb0lJRiD3zDERGpu86KmPThBBCFGmWqQ0B6tfXxlQIIexKTj8LkaQkGDhQT3R0Ces2GYsmhBCiWDl/XuvqtHOnvXMihEhDgopC4s4d6NoVliwxMHVqC1JT7Z0jIYQQIp8dPAjNm8O+fdqgbPkxLNDatWvHe++9l2/HW758OV5eXlmmOXnyJC1atMDFxYWGDRvmS74yM3nyZFq3bm3XPOQmCSoKgfh4baxESAi4uir69/8LB+m4JoQQorhQShtA+MQTEB2tTXUYGor8GNpf79690el06W6nT59m/fr1TJ061ZrW39+fOZYZZsyWL1+Odz6u+D1x4kRKlChBREQEYfnYbU6n07Fx40abbe+//z6bNm3KtzzkNflvLOBiY7WxE3v2gLs7bN5sJC7uir2zJYQQQuSPK1e06Q7XrNEeP/MMrFoFnp72zZewCgwMZNmyZTbbypQpg8FgsFOOMhcZGUmXLl2oUqWKvbOCu7s7JpPJ3tnINdJSYUdJSfDLL9r4soxu69dr3Ub37AEvL23bE08oe2dbCCGEyBdON2/i0KCBFlAYDDB9OvzwgwQUBYyzszO+vr42N4PBYNP9qV27dpw9e5Zhw4ZZWzN27NjBW2+9RWxsLKVKlcJgMDBp0iQAkpKSGDFiBBUqVKBEiRI0b96cHTt22Bx3+fLlVK5cGTc3N1588UWuXbuWZT51Oh0HDx5kypQp6HQ6Jk2axI4dO9DpdNy8edOaLjw8HJ1Ox5kzZ6zH8fLy4qeffqJOnTq4u7sTGBhIdHS0zf6XLl3Ko48+irOzM+XLl2eweWpOf39/AF588UV0Op318b3dn0wmE1OmTKFixYo4OzvTsGFDQkJCrM+fOXMGnU7H+vXrad++PW5ubjRo0IC9e/dm41PKe9JSYUdLl8LAgfdP5+2tBRQNG0JKSp5nSwghhCgQkr28UJ06oTtyBP7v/6BpU3tnKf/dvp35cwYDuLhkL61ebzvlbmZpS5TIeHsOrV+/ngYNGtCvXz/69u0LgLe3N3PmzGHChAns378fDw8PPM0B4+DBgzl+/DirV6/Gz8+PDRs2EBgYyJEjR6hRowb79u2jT58+BAcH07VrV0JCQpg4cWKWeYiOjqZDhw4EBgYyYsQI3N3dOXDgQLbyn5CQwKxZs/j666/R6/W88cYbjBgxgm+//RaABQsWMHz4cKZPn87TTz9NbGwsv/32GwB//PEHZcuWZdmyZQQGBmbagjN37lxmz57NokWLaNSoEUuXLuX555/n2LFj1KhRw5rugw8+YNasWdSoUYMPPviAHj16cPr0aRzs3B1Qggo76tpVa9F96y0YOdL2OaW0dShu3NAmuHj0UbtkUQghhMgfSsH27fDJJ9qKrubuKcZ589B7eICTk50zaCfu7pk/98wzsHXr3cdly0JCQsZp27aFtFf6/f3h6tX06dSD94jYsmUL7mny+fTTT/P999/bpPH29sZgMODh4YGvr691e8mSJdHpdJQrVw5PT0/0ej3nzp1j2bJlnDt3Dj8/PwBGjBhBSEgIy5Yt46OPPmLu3LkEBgYyatQoAGrWrMmePXtsruzfy9fXFwcHB9zd3W3ykB0pKSksXLiQatWqAVrQM2XKFOvzH374Ie+//z5Dhw61bmtqDoLLlCkDgJeXV5bHnTVrFqNHj+a1114DYMaMGfzyyy/MmTOHzz//3JpuxIgRdOnSBdBaOx599FFOnz5N7dq1H6hMua3QdH+6fv06PXv2xNPTEy8vL/r06UN8fHyW6YcMGUKtWrVwdXWlcuXKvPvuu8TGxtqky2hw0erVq/O6OACULw/9+2tdQ729ISAAypTR/h4/Dv/8A2vXSkAhhBCiCLt5ExYt0prjO3XSZiVJM7gXT8/iG1AUEu3btyc8PNx6mzdvXo72d+TIEYxGIzVr1sTd3d16+/XXX4mMjATgxIkTNG/e3OZ1LVu2zNFxs+Lm5mYNKADKly/P5cuXAbh8+TIXL17kqaeeeuj9x8XFcfHiRR5//HGb7Y8//jgnTpyw2Va/fn2bfFjyYG+FpqWiZ8+eREdHExoaSkpKCm+99Rb9+vVj5cqVGaa/ePEiFy9eZNasWTzyyCOcPXuWd955h4sXL7J27VqbtJbmKIv7TUeWm0aP1urSefOgRw946ikYNQqWLYPWraF9+3zLihBCCJE/jEZtnMTatfDjj5CYqG0vUQL69IF8nIa0wMviAir3dqPJ6sTy3pVxzeMFckOJEiWoXr16ru0vPj4eg8HAwYMH03UVcs+q5eYh6M3vi0rTQpOSQV9zR0dHm8c6nc76Gtd8Xsk9bV505kUgC8KA70LRUnHixAlCQkJYsmQJzZs354knnmD+/PmsXr2aixcvZviaunXrsm7dOp577jmqVavGk08+ybRp0/jhhx9IvWdea0tzlOXmkrZ/Yi5q21a72JL2VqUKJCfDhAlQowacO6eNQzt4ECZNurtgqBBCiMx9/vnn+Pv74+LiQvPmzdm/f3+W6b///ntq166Ni4sL9erVY9u2bXmbwb//xjRgAMne3qS6uHCrZk1MPXuiHnsMo6sriSVLcuGFFzCePJn9faamwtKlqKZNMbq6kuzmRoqHB0qvR+l0pDg4cK1xY4zdumF0cUHpdNabSafD2KoV3Psb+uefmJ5+GpOjo016yy3Z1ZWzPXpgmj4d1agRRmdnUp2cSDUYbNIlOTtjqlGDVHd3UlxdSSxdGuXkdDeNgwOqZ0/YsAESE1GAAoy3b6Pmz0dVrYoqWRIAY6lSmMxlsimDXo9Jr8fo4ECKkxOpjo4kVKiA6YknSPLxIdXZmfiqVTEFBqJ8fDIsz723RFdXkrdtg02bUI0bYzKXy2gwEF+5MqpxY0hbDnM+VLlyULIkuLigPD0xOTmR5O5O9NNPY/zzzyw/RqPRyP79+7l9+za3MxrnUKJE5rd7z1eySnvviW9m6fKQk5MTRqPxvtsaNWqE0Wjk8uXLVK9e3eZm6T5Up04d9u3bZ/O633///YHzZOmalHbQdXh4+APtw8PDA39//yynqHV0dExXzrQ8PT3x8/OzjsOw+O2333jkkUceKD/2UiiCir179+Ll5UWTJk2s2zp06IBer0/3hcpKbGwsnp6e6QayDBo0iNKlS9OsWTOWLl1qE63mJl9fravizJkwZ87d26BBtmm8vaWVQgghsmvNmjUMHz6ciRMncujQIRo0aEDnzp0z7Q6wZ88eevToQZ8+ffjzzz/p2rUrXbt25ejRo3mTwZ07SWnQgCtffsknN24wOimJhFOn0K1cyZXwcEYlJjI3Lg795s0kPPIIv06bdv99pqbCyy+j/vMf/nf0KD8mJuJ05w4O8fGYlGIvkGA04nPoEPoNGzAkJQGQDFiuVen37iWlYkU4fVrbsG4dpsaN0YWEkJSaak2nM99SAafERCqvXo1u7FgOHTlCanIyKiUFB/NV0li04MA5ORnd6dOk3L6NPjERl2vX0Jmv/qa9VmYJJizbDABKoQMs14r1JhN68++yLs1NrxQohcFoJDUlBX1qKo4XL6L77TduXr/O+ORkkqKi0P30E6br14lLc5y0edCZ8wDgnJiIY5cu0LUrukOHuGQysR24YzLhfv48ukOHUOZypFryohS6y5dRcXGQlERsfDz6lBSO375NckgIKY89xp7//jfDj3H9+vX4+/vTq1cvrl69SlRUFMeOHcvsUy/0/P392blzJxcuXOCqeTyHv78/8fHx/Prrr1y9epWEhARq1qxJz5496dWrF+vXrycqKor9+/cTHBzMVvMYknfffZeQkBBmzZrFqVOn+Oyzz7IcT5GZ6tWrU6lSJSZNmsSpU6fYunUrs2fPfuD9TJo0idmzZzNv3jxOnTrFoUOHmD9/vk3Zw8LCiImJ4caNGxnuY+TIkcyYMYM1a9YQERHBmDFjCA8PtxmnUZAViu5PMTExlC1b1mabg4MD3t7exMTEZGsfV69eZerUqfTr189m+5QpU3jyySdxc3Pj559/ZuDAgcTHx/Puu+9muq+kpCSSzBU0aP3gQGsuy6jJzOKDD2DLFm3MVVCQtu3AAR3jxhkAHTqdYuzYVMaM0WbMy2ihUMv+szpOUVQcy10cywxS7oJe7oKYv08++YS+ffvy1ltvAbBw4UK2bt3K0qVLGTNmTLr0lgGeI80zZEydOpXQ0FA+++wzFi5cmLuZS0wk8fnn2ZOYyHNAAvAB4AWMBj5UCmdgDDAV2KIUtcaNY2P16nR99dXM9zt3LqYffuB5pYhOTOQgkAQ8CUwAmqL9wEcD5dFOmhsCfwGvAd8Cp4HqSnG5fn3KRkVh7NEDnVL8ANa8xgGzgY8BR+A8UMl8rAZGI9eAcuZ9XTEfw3K1UgekvTZuCR6iASfAstzZn0Aj83N3zK8xcfcERWd+rAeMmAMPc/7cgFCgIxBvftwdWGz+6w2EA48AJYG/AT+ghHm/a4BHzbcIwNf82QDMRPuMWgG/mctX2vy6wcD3wL/m9yXWvP9YwEcp3gBWAL2BF4AOwcH8ULs2z/XqZX0/1q9fT/fu3VFK2ayZYPkfs0yzWpRMmTKF/v37U61aNZKSklBK0apVK/r378/bb7/N9evXmThxIpMmTWLZsmXWwc8XLlygdOnStGjRgmeffRaAFi1asHjxYiZOnMiECRPo0KED48aNs1lsLzscHR1ZtWoVAwYMoH79+jRt2pQPP/yQl19++YH2ExQURGJiIp9++ikjRoygdOnSdO/e3fr87NmzGT58OIsXL6ZChQrW6WrTsoz9ff/997l8+TKPPPIImzdvtpn5qSDTqby6LJ8NY8aMYcaMGVmmOXHiBOvXr2fFihVERETYPFe2bFkmT57MgAEDstxHXFwcHTt2xNvbm82bN6frF5fWhAkTWLZsGefPn880zaRJk5g8eXK67StXrsTNzS3LvKR14oQ3U6e2ICHBkVq1rjN+/F7c3TOIJIQQooBISEjg9ddft7b82ltycjJubm6sXbuWrl27WrcHBQVx8+bNDFerrVy5MsOHD7fOnw/aKrsbN27k8OHD2TpuXFwcJUuWvO/7YPrqK/RBQdQETqGdEP8L7AI+AsYBjwPPo510+6OdrA7x9mbO5csYTpwgNSaGfb//TvOmTXEwGCA1FdW7N7tv3qRtUhLLgTeA/wN+Qjsxnod2Ih4L+Jjz0hHYbr5/AKhsfk4HqGrVIDISE3Ab7QTZCAwEHgP63+f9qAW4AIfN5bhufuxmfhwDJAIVAGfz85ag4ghQD+3K/y3zsfVAsqsrP65aRWCPHjjducNNwAO4gBbsWF5zDi1IKGfO+2y0gOMj83tQxvyeuwE3gaNAa3O+ooDGwDXgJFrwYQlcJgJTgJXmNFXQgqFEYBNagDYOuGHOl+Vb8BywBQgxl6WrOY/BXl6Mu3oVg8GA0WjE39+ff//9F4AqVaqwcOFCSpcujV6vp2rVqpw/f566deta+8wXZSaTibi4OOvsT8VFQSp3YmIiUVFRBAQEpBsGkN36zq4tFe+//z69e/fOMk3VqlXx9fVN14ydmprK9evX7zsl2K1btwgMDMTDw4MNGzZkGVAANG/enKlTp5KUlISzs3OGacaOHcvw4cOtj+Pi4qhUqRKdOnW674/siRPagnZz54LJpCchwUD58iZu3/Zg375OLFmitVK0aZPx61NSUggNDaVjx473LUtRUhzLXRzLDFLugl5uS8tsQXH16lWMRiPlypWz2V6uXDlOZjI+ISYmJsP0WbV8P2wL9cVt24hzdeVftCvwFYCySUm8bDKR9jqoZQRIMnDM1ZVqd+6wc+dO2n7yCQ5btvD4PfvVoZ0Yu7u40EynwwhUSU5mbZo+23ruBhQAT7i48Jv5BDUxOZkyadLqzDPq6NFOhONcXHDV6fgZeCQlRQtkzGlv63S46XRgPu41R0fOm/cbrxSngY90Or5FO+kH7cT+KtpJfFW0k/AUtBYPP3O5r6AFGka04MBgHgNwxtWVqmiBhAtawPAPWiDzF1AHLZjxRGu1aAIEm/cTaT6Ggzkv7ua8pJjzU8F87Ci0oCTR/JwLWgvDx2hB1T4gwLyP6+ZtzsCvaAFLb3OeHYGWQBhaYPGxOd97gepJSezcuZMnnniC3bt3c+3aNesAXxcXF+sMlJaTS6PRyK1bt3J9YHJBZLm+rZQqEAOO80tBKrfJZEIpRUpKSrrB8dltobZrUFGmTBnrAJmstGzZkps3b3Lw4EEaN24MwP/+9z9MJlO66cTSiouLo3Pnzjg7O7N58+ZsDcAODw+nVKlSmQYUoK0cmdHzjo6O9z0ZqF8fnn0WPvwQ/v5bG6w9ZoyemTP19OsHnTvDk0/ef4B2do5VFBXHchfHMoOUu6AqyHnLS8HBwRm2UP/8889Zt1D36AE9erAqzaaLs2bhc/y4TUWvzCfpJgcHTi9YQADab9gZk4kyFStan7f+NZ94fjNzJhEODkQANdes4Vp4uDZQ22DA5OCgDTQ235oMHswq80ms4549/B0ZidHJCZOTE0ZnZ4xOTtbbFfMg7DmAw+3bbFWKVDe39DMImVnKZxmm2hPIbOh7RCbbM3Ny6VIyCg9/NP+9YP77M1jHYoxIc/xVaK0GmeVhJVrrRUZWobVgeJK+PHq0gKTsPc89yt334yfz/ZtoAU1cXJx1UoBVq+5+KxwcHChdujSVKlXCyTx9rr+/v/VKdnFx69Yte2fBLgpCuZOTk7ljvphx74RGCZmtfXKPQjGmok6dOgQGBtK3b18WLlxISkoKgwcP5rXXXrMuinLhwgWeeuopvvrqK5o1a0ZcXBydOnUiISGBb775hri4OOs/ZpkyZTAYDPzwww9cunSJFi1a4OLiQmhoKB999BEjRozI0/KMH68FFytWQEQE+PjAO++AmxuY1zIRQgiRDaVLl8ZgMHDp0iWb7ZcuXcq0JdvX1/eB0sPDt1AfnT+fuuPG8Qxav3zMfw+hjW1YgzbmwdI43RrY0qMHzwGjt26l0saNGbZi3WrWjIMREbz25ptMAoainbwORLtSbzm5P4p2kqsDxr/9tvXk/FfgIlrXKwV89cgjvHn8OEbgB6Ab2lX7uWhX/XejXak3oXUjSkW7Uv8XUB+t+5YDsN78uv1oLR71zfs/Zn5cgbvjKsqjnZj/Zs6HCa31wAet+1Gyqyvbly6lw9tv43jnDonmY15FO5mvaN53OFAD7aTdCIwEagL/Me+noTn/7sBZtCDE0vLzBzAErSXhT7QWCMv4jT7AWnP5X0FrhfA0H+NL4DhaN7MEtLEglkuk7cx5+g04gzZW5nfgLaDP1q3WloouaX7wK1euzNy5cwEwGAz4+/tz5swZqlatWmxaKm7duoWHh0ex6O5lUZDKnZiYiKurK23atMmw+1N2FIqgAuDbb79l8ODBPPXUU+j1el566SWbxVVSUlKIiIiwRlOHDh2yzgx179zJUVFR+Pv74+joyOeff86wYcNQSlG9enXrgL+8VLcuvPwyTJwIV67AjBlaQCGEEOLBODk50bhxY8LCwqxjKkwmE2FhYQwePDjD17Rs2ZKwsDCbMRWhoaFZLpz1sC3U9YcM4fiYMSxOSeE5tJP82cA3wGagA/A62klpPbST1cPA8YoVadOmjU03hLTHKvnf/9LxlVf4r/k1Q4Eg4DJaQPA32glwHbRxAAp4Gu2q+3S0gdyxaCcBvwGvbdvGDV9ffJTiEbSTale0gcot0U7MTWhjD1zQgoo4tKv0DsA6tIHSh4G6wFNoJ/+WJeu80caLKLRgxhctQFDm9Hrzfspzd2Ym88oVON25g+HOHdzNx/Uzvy7FvH937o51cEMLNgaiBQSvop3Qe5pf440WgFgGjfsC/zMfu6p5Hx7m54PQWkPmA/3M2xzNx3JEa4VQaMFSCfO2y8AJYBZaQDUD+AptgPveihVZYf5M27Rpg4+PDxcuXEApRWJiIkopm24wltWn7X2ymR8sZU7b/as4KEjl1uv16HS6DOu07LZQF5qgwtvbO9OF7kBrJkw75rxdu3b3nRo2MDDQZtG7/GRprShTRmulEEII8XCGDx9OUFAQTZo0oVmzZsyZM4fbt29bZ4Pq1asXFSpUIDg4GIChQ4fStm1bZs+eTZcuXVi9ejUHDhzgyy+/zPW8GRwd+fezz/Dv358jaAO0Y9BOwDugDUx+Ee0k+Am0q98vos1QdW+/Zpv9vvwyR3v2ZNy339IX7cS5NTAK7eT/CtqVcz13p0udBnxovm85GT4PzHn2WdaWLcvvs2dTf/hw6qY5jg4tQFDmfVnmYXRAay3wMqdxM99KpzlmafP+HbkbUOjQgoK0U7uWTvOcZbtCCzpI8xzmfVleZwlYHjGnSUJrRRiNdnKv5+6sTAqtRcE7zesVWiBh2b9lZieTeT9Pon1W18x5SXtqPxAYkGZfTmhBjmXsCGiB3bfm96Az8HGaz9RgMDB37ly6d++eadBQsWLFYhFQiKKj0AQVRU3dutp6FTVrSiuFEELkxKuvvsqVK1eYMGECMTExNGzYkJCQEOtg7HPnztlcBWzVqhUrV65k3Lhx/Pe//6VGjRps3LiRunXrZnaIHHm6Xz82lizJFwMH8uT163gBS4H97u60SU0lIDGRK2jjEPZVrMjcuXPp1q3bffdb95tv+LlZM8598AGV4+MJQTvpro3WynAM7Sq7HngZrWuPO9pJ9A202ZHOPvccGzdvBqDDsGFsKluW/f368VpCAuXRTqYdzPu4g9Zd6GMg2dOTN5OS8E9KwhPtpNoX7Sp/ElpwdBCobn7tFbQr95YZlFLRTt51aF2UDGitBNfNZfDg7iDvv8358ObuFLV30AZGJ6EFaEa0AC0KiNTpaKgUXmhdwvY5OdEzOZkG3G39cDTfLAGBMu8jBG0q2p6dOvHYzp10TEykFNoYjB8Bg4sLT7u4UO7mTdy422VrN1CvalXKOjlxPjKS+JQUbqC1WOyqUIHgefPSfabdunVj7dq1DB061NpKAXevCpc0L/4nRH7Ijclg7TqlbFGR3am2ckNKSgrbtm3jmWeeKVYDJotjuYtjmUHKXdDLnZ/1XUH2MO+D0Whk165dREdHU758eVq3bg2QbltGM69k9d1Iu9+yZctiMpnYuXMnoLXat27dmj179nD27Fk2btzI7du3qVmzJh9//LF19qF797djxw527NhBamoqN2/eBLSr682bN6dSpUo2eb9w4QJXrlyhVKlS/PHHHyilqFGjBv3792ffvn3WsjVv3pxFixZx6tQpTCYTnp6eREdH4+fnR1xcHDqdjmrVqvHoo4+ye/duAJo0aUJcXBzXrl2z7t9oNGIwGGjatCk3btzAx8eHa9euUaZMGSpUqECrVq3Ys2ePzXtqNBr54osviIyMJCAggHr16nH58mUuXrzIwYMHOXbsGCVLluSFF15g6NCh1lWeLe+D5b1s164dBoOB5ORk6/6qVavGwIEDrQOsM/qcs2p1sqR3c3OjQoUKlC9fvsBMM5pfCtLUqvmpIJX72rVrXL58mZo1a6b7vma3vpOgIhdIUJH3imO5i2OZQcpd0MstQYVG6v28V9zKHR0dzc2bNyldujQmkwkPDw+7n2jmF5PJRHx8PO7u7sWmzFAwyq2UIiEhgcuXL+Pl5UX58uXTpSkU61QIIYQQQgiss49duXKFO3fu4OrqWmzGVCilil2ZoWCV28vL675rv92PBBVCCCGEEHam0+koX748pUqVIiwsjDZt2hSLFhrQWqV27txZrMoMBafcjo6OWXbRyy4JKoQQQgghCgiDwUBqaiouLi7F5gS7OJYZil65i0/HNSGEEEIIIUSekKBCCCGEEEIIkSMSVAghhBBCCCFyRMZU5ALLrLxxcXF5fqyUlBQSEhKIi4srEv3vsqs4lrs4lhmk3AW93JZ6rrjPRi71ft6TchefchfHMkPhKXd2630JKnLBrVu3AKhUqZKdcyKEEPnj1q1bxXrFX6n3hRDFzf3qfVn8LheYTCYuXryIh4dHns8zHBcXR6VKlTh//nyxWniqOJa7OJYZpNwFvdxKKW7duoWfn1+xWqTqXlLv5z0pd/Epd3EsMxSecme33peWilyg1+upWLFivh7T09OzQH8B80pxLHdxLDNIuQuy4txCYSH1fv6RchcfxbHMUDjKnZ16v/heZhJCCCGEEELkCgkqhBBCCCGEEDkiQUUh4+zszMSJE3F2drZ3VvJVcSx3cSwzSLmLW7nF/RXX74aUu/iUuziWGYpeuWWgthBCCCGEECJHpKVCCCGEEEIIkSMSVAghhBBCCCFyRIIKIYQQQgghRI5IUFEEJCUl0bBhQ3Q6HeHh4fbOTp46c+YMffr0ISAgAFdXV6pVq8bEiRNJTk62d9Zy3eeff46/vz8uLi40b96c/fv32ztLeSo4OJimTZvi4eFB2bJl6dq1KxEREfbOVr6aPn06Op2O9957z95ZEYVAcan7pd4vuqTeL1r1vgQVRcCoUaPw8/OzdzbyxcmTJzGZTCxatIhjx47x6aefsnDhQv773//aO2u5as2aNQwfPpyJEydy6NAhGjRoQOfOnbl8+bK9s5Znfv31VwYNGsTvv/9OaGgoKSkpdOrUidu3b9s7a/nijz/+YNGiRdSvX9/eWRGFRHGp+6Xel3q/qCpy9b4Shdq2bdtU7dq11bFjxxSg/vzzT3tnKd/NnDlTBQQE2DsbuapZs2Zq0KBB1sdGo1H5+fmp4OBgO+Yqf12+fFkB6tdff7V3VvLcrVu3VI0aNVRoaKhq27atGjp0qL2zJAq44l73S71fNEm9X7hJS0UhdunSJfr27cvXX3+Nm5ubvbNjN7GxsXh7e9s7G7kmOTmZgwcP0qFDB+s2vV5Phw4d2Lt3rx1zlr9iY2MBitRnm5lBgwbRpUsXm89ciMxI3S/1flEl9X7h5mDvDIiHo5Sid+/evPPOOzRp0oQzZ87YO0t2cfr0aebPn8+sWbPsnZVcc/XqVYxGI+XKlbPZXq5cOU6ePGmnXOUvk8nEe++9x+OPP07dunXtnZ08tXr1ag4dOsQff/xh76yIQkDqfqn3iyqp9ws/aakoYMaMGYNOp8vydvLkSebPn8+tW7cYO3asvbOcK7Jb7rQuXLhAYGAgL7/8Mn379rVTzkVeGDRoEEePHmX16tX2zkqeOn/+PEOHDuXbb7/FxcXF3tkRdlQc636p90VaUu8XfrKidgFz5coVrl27lmWaqlWr8sorr/DDDz+g0+ms241GIwaDgZ49e7JixYq8zmquym65nZycALh48SLt2rWjRYsWLF++HL2+6MTHycnJuLm5sXbtWrp27WrdHhQUxM2bN9m0aZP9MpcPBg8ezKZNm9i5cycBAQH2zk6e2rhxIy+++CIGg8G6zWg0otPp0Ov1JCUl2Twniq7iWPdLvX+X1PtS7xeFel+CikLq3LlzxMXFWR9fvHiRzp07s3btWpo3b07FihXtmLu8deHCBdq3b0/jxo355ptvCu0/X1aaN29Os2bNmD9/PqA1C1euXJnBgwczZswYO+cubyilGDJkCBs2bGDHjh3UqFHD3lnKc7du3eLs2bM229566y1q167N6NGji3wXAPHgimvdL/W+1PtFRVGu92VMRSFVuXJlm8fu7u4AVKtWrcj+qID2w9KuXTuqVKnCrFmzuHLlivU5X19fO+Ysdw0fPpygoCCaNGlCs2bNmDNnDrdv3+att96yd9byzKBBg1i5ciWbNm3Cw8ODmJgYAEqWLImrq6udc5c3PDw80v2AlChRAh8fn0L9wyLyTnGs+6Xel3q/KCnK9b4EFaJQCQ0N5fTp05w+fTrdD2hRanR79dVXuXLlChMmTCAmJoaGDRsSEhKSbhBfUbJgwQIA2rVrZ7N92bJl9O7dO/8zJIQoEKTel3pfFA7S/UkIIYQQQgiRI0VnlJMQQgghhBDCLiSoEEIIIYQQQuSIBBVCCCGEEEKIHJGgQgghhBBCCJEjElQIIYQQQgghckSCCiGEEEIIIUSOSFAhhBBCCCGEyBEJKoQQQgghhBA5IkGFEEIIIYQQIkckqBDCTpYvX45Op0t3W7JkSa7s/8yZM+h0OsLDw3Nlfw8jOjqa119/nZo1a6LX63nvvffslhchhLA3qfdFUeZg7wwIUdQlJyfj5OSU4XOenp5ERETYbCtZsmR+ZOuBZFWGrCQlJVGmTBnGjRvHp59+mgc5E0KIgkfqfan3iyNpqRDF1pUrV/D19eWjjz6ybtuzZw9OTk6EhYVl+rojR47w5JNP4urqio+PD/369SM+Pt76fO/evenatSvTpk3Dz8+PWrVqZbovnU6Hr6+vzc3V1RWAo0eP8vTTT+Pu7k65cuV48803uXr1qvW1ISEhPPHEE3h5eeHj48Ozzz5LZGSk9fmAgAAAGjVqhE6no127dgC0a9cu3ZWjrl270rt3b+tjf39/pk6dSq9evfD09KRfv34A7N69m9atW+Pq6kqlSpV49913uX37dqbl8/f3Z+7cufTq1atA/mgKIYoXqffvknpf5DYJKkSxVaZMGZYuXcqkSZM4cOAAt27d4s0332Tw4ME89dRTGb7m9u3bdO7cmVKlSvHHH3/w/fffs337dgYPHmyTLiwsjIiICEJDQ9myZcsD5+3mzZs8+eSTNGrUiAMHDhASEsKlS5d45ZVXbPIyfPhwDhw4QFhYGHq9nhdffBGTyQTA/v37Adi+fTvR0dGsX7/+gfIwa9YsGjRowJ9//sn48eOJjIwkMDCQl156ib/++os1a9awe/fudGUXQoiCSur9rEm9L3JECVHMDRw4UNWsWVO9/vrrql69eioxMTHTtF9++aUqVaqUio+Pt27bunWr0uv1KiYmRimlVFBQkCpXrpxKSkrK8rjLli1TgCpRooT1Vq5cOaWUUlOnTlWdOnWySX/+/HkFqIiIiAz3d+XKFQWoI0eOKKWUioqKUoD6888/bdK1bdtWDR061GbbCy+8oIKCgqyPq1Sporp27WqTpk+fPqpfv34223bt2qX0er26c+dOlmXN7LhCCGEPUu9LvS9yn4ypEMXerFmzqFu3Lt9//z0HDx7E2dk507QnTpygQYMGlChRwrrt8ccfx2QyERERQbly5QCoV69etvqienh4cOjQIetjvV5rPDx8+DC//PIL7u7u6V4TGRlJzZo1OXXqFBMmTGDfvn1cvXrVeqXq3Llz1K1bN3uFz0KTJk1sHh8+fJi//vqLb7/91rpNKYXJZCIqKoo6derk+JhCCJEfpN7PmNT7IickqBDFXmRkJBcvXsRkMnHmzBnq1auX432m/fHJil6vp3r16um2x8fH89xzzzFjxox0z5UvXx6A5557jipVqrB48WL8/PwwmUzUrVuX5OTk+x5TKWWzLSUl5b5liI+Pp3///rz77rvp0lauXDnLYwohREEi9b7U+yL3SVAhirXk5GTeeOMNXn31VWrVqsV//vMfjhw5QtmyZTNMX6dOHZYvX87t27etle9vv/2GXq/PcmDeg3rsscdYt24d/v7+ODik/ze9du0aERERLF68mNatWwPaYLq0LFfMjEajzfYyZcoQHR1tfWw0Gjl69Cjt27e/b56OHz+e4Y+hEEIUFlLvS70v8oYM1BbF2gcffEBsbCzz5s1j9OjR1KxZk7fffjvT9D179sTFxYWgoCCOHj3KL7/8wpAhQ3jzzTetTeC5YdCgQVy/fp0ePXrwxx9/EBkZyU8//cRbb72F0WikVKlS+Pj48OWXX3L69Gn+97//MXz4cJt9lC1bFldXV+tgv9jYWACefPJJtm7dytatWzl58iQDBgzg5s2b983T6NGj2bNnD4MHDyY8PJxTp06xadOm+w7YCw8PJzw8nPj4eK5cuUJ4eDjHjx9/6PdGCCFyQup9qfdFHrHvkA4h7OeXX35RDg4OateuXdZtUVFRytPTU33xxReZvu6vv/5S7du3Vy4uLsrb21v17dtX3bp1y/p8UFCQeuGFF+57/GXLlqmSJUtm+vzff/+tXnzxReXl5aVcXV1V7dq11XvvvadMJpNSSqnQ0FBVp04d5ezsrOrXr6927NihALVhwwbrPhYvXqwqVaqk9Hq9atu2rVJKqeTkZDVgwADl7e2typYtq4KDgzMcsPfpp5+my9P+/ftVx44dlbu7uypRooSqX7++mjZtWpblBNLdqlSpct/3RwghcpvU+1Lvi7yjU+qeTnZCCCGEEEII8QCk+5MQQgghhBAiRySoEEIIIYQQQuSIBBVCCCGEEEKIHJGgQgghhBBCCJEjElQIIYQQQgghckSCCiGEEEIIIUSOSFAhhBBCCCGEyBEJKoQQQgghhBA5IkGFEEIIIYQQIkckqBBCCCGEEELkiAQVQgghhBBCiByRoEIIIYQQQgiRI/8PzIkIQXhVcqwAAAAASUVORK5CYII=","text/plain":["
"]},"metadata":{},"output_type":"display_data"}],"source":["# สร้าง Linear Model\n","from sklearn.linear_model import LinearRegression\n","\n","clf = LinearRegression()\n","\n","# สอนโมเดลจากข้อมูล x, y ที่มี แล้วทำนายค่า $y$\n","clf.fit(x, y)\n","y_linear = clf.predict(x)\n","print('Linear model: R2 = {:.2f}'.format(clf.score(x,y)))\n","sorted_x = np.sort(x.ravel())\n","y_linear_func = sorted_x*clf.coef_[0] + clf.intercept_\n","print('Linear regression: y(x) = x*{:.2f} + {:.2f}'.format(clf.coef_[0], clf.intercept_))\n","\n","# สร้าง Logistic Model\n","clf = LogisticRegression()\n","\n","# สอนโมเดลจากข้อมูล x, y ที่มี แล้วทำนายค่า $y$\n","clf.fit(x, y)\n","y_logit = clf.predict(x)\n","print('Logistic model: accuracy = {:.2f}'.format(clf.score(x,y)))\n","y_logit_func = sigmoid_function(sorted_x*clf.coef_[0] + clf.intercept_)\n","print('Logistic regression: probability function P(x) = g(x*{:.2f} + {:.2f})'.format(clf.coef_[0][0], clf.intercept_[0]))\n","\n","# Plot ข้อมูล x, y ที่มีอยู่\n","fig, axes = plt.subplots(1,2, figsize=(8, 4))\n","ax = axes[0]\n","ax.scatter(x, y, c='k', marker='o', label='True labels')\n","ax.scatter(x, y_linear, edgecolor='b', marker='v', facecolors='none', label='Predicted labels')\n","ax.plot(np.sort(x.ravel()), y_linear_func, 'b--', label='Fitted function')\n","ax.set(xlabel='x or Feature 1', ylabel='y')\n","ax.set_title('Linear Regression')\n","ax.grid()\n","ax.legend()\n","\n","ax = axes[1]\n","ax.scatter(x, y, c='k', marker='o', label='True labels')\n","ax.scatter(x, y_logit, edgecolor='r', marker='o', facecolors='none', label='Predicted labels')\n","ax.plot(np.sort(x.ravel()), y_logit_func, 'r--', label='Fitted function')\n","ax.set(xlabel='x or Feature 1', ylabel='y')\n","ax.set_title('Logistic Regression')\n","ax.grid()\n","ax.legend()\n","\n","plt.tight_layout()\n","plt.show()"]},{"cell_type":"markdown","metadata":{"id":"eDkOoN1DTxLi"},"source":["จะเห็นได้ว่า ค่า $y$ ที่ทำนายจาก linear regression มีความคลาดเคลื่อนสูงมาก โดย linear regression ได้ตอบค่าที่น้อยกว่า 0 และค่าที่มากกว่า 1 ด้วยซ้ำ\n","\n","ในขณะที่ logistic regression สามารถเรียนรู้และทำนายข้อมูลในลักษณะนี้ได้ดีกว่า linear regression โดยตัวโมเดลทำนายคลาดเคลื่อนในช่วงค่าที่ปรากฏข้อมูลจากทั้งสองคลาส (บริเวณค่า $x$ ระหว่าง -1 ถึง 0 มีการซ้อนทับกันระหว่าง 2 classes)\n","\n","ด้วยความคลุมเครือในบริเวณนั้น การมีตัวแปร $x$ เพียงตัวเดียวจึงไม่เพียงพอในการจำแนกข้อมูลช่วงดังกล่าว"]},{"cell_type":"markdown","metadata":{"id":"NlOfXroZyNu-"},"source":["**Quiz:** Determine decision boundary, given $P(x) = g(x*2.13 + 1.08)$"]},{"cell_type":"markdown","metadata":{"id":"hOw0nHPMSv2i"},"source":["\n","\n","[Slides: Logistic Regression](https://github.com/ichatnun/brainCodeCamp2023_lectures/blob/main/MachineLearning/machine_learning_logistic_regression.pdf)\n","\n","
\n","\n","ต่อไป เราจะลองสร้างชุดข้อมูลที่ feature space มีมิติสูงขึ้น โดยเป็นชุดข้อมูลที่ประกอบด้วย 2 features เพื่อจำแนก 2 classes โดยในแต่ละคลาสมีจำนวนข้อมูลเท่ากันที่ 100 จุด"]},{"cell_type":"code","execution_count":5,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":507},"executionInfo":{"elapsed":1522,"status":"ok","timestamp":1692639016240,"user":{"displayName":"Itthi Chatnuntawech","userId":"06267664527776052880"},"user_tz":-420},"id":"-a3cfx26tUpm","outputId":"7760d376-37d7-4906-d1c8-8a63c50a4cfc"},"outputs":[{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"}],"source":["# ทดลองสร้างข้อมูลโดยการเรียกใช้ generate_multi_class_dataset\n","# กำหนด จำนวนคลาส\n","n_classes = 2\n","\n","# กำหนด จำนวน features\n","n_features = 2\n","\n","# กำหนดช่วงค่า Mean และ standard deviation (SD) สำหรับแต่ละคลาส\n","# เนื่องจากเรากำหนดจำนวน features เป็น 2 จึงสามารถกำหนด Mean และ SD ด้วย array ของ 2 ค่า\n","mean_class = [[-2,-2], [2,2]]\n","std_class = [[0.5,0.5], [1.5,1.5]]\n","\n","# กำหนดจำนวนข้อมูล สำหรับแต่ละคลาส\n","n_samples = 100\n","\n","# ทำการสร้างชุดข้อมูล\n","x, y = generate_multi_class_dataset(n_classes, n_features, mean_class, std_class,n_samples)\n","\n","# Plot ข้อมูล x, y ที่มีอยู่\n","plt.figure(figsize = (5,5))\n","plt.scatter(x[y==0, 0], x[y==0, 1], c='b', label='Class 0')\n","plt.scatter(x[y==1, 0], x[y==1, 1], c='r', label='Class 1')\n","plt.xlabel('Feature 1')\n","plt.ylabel('Feature 2')\n","plt.title('Simulated Data for Binary Classification')\n","plt.legend()\n","plt.tight_layout()\n","plt.show()"]},{"cell_type":"markdown","metadata":{"id":"-ikkj9u1nYh0"},"source":["## Decision Boundary\n","\n","เราสามารถ visualize ลักษณะของ decision boundary (เขตแดนแบ่งแยกคลาส) โดยใช้ [DecisionBoundaryDisplay](https://scikit-learn.org/stable/modules/generated/sklearn.inspection.DecisionBoundaryDisplay.html) จากไลบรารี่ `scikit-learn`"]},{"cell_type":"code","execution_count":6,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":507},"executionInfo":{"elapsed":9,"status":"ok","timestamp":1692639016241,"user":{"displayName":"Itthi Chatnuntawech","userId":"06267664527776052880"},"user_tz":-420},"id":"z_5cFQFzlP_h","outputId":"ebe326ae-3ab2-4098-a20f-15ff6c13227b"},"outputs":[{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"}],"source":["# สร้างโมเดล\n","clf = LogisticRegression()\n","\n","# สอนโมเดลจากข้อมูล x, y ที่สร้างขึ้นก่อนหน้านี้\n","clf.fit(x, y)\n","\n","# สร้าง cmap สำหรับแสดงผลตามสีแต่ละ class\n","cmap_2classes = colors.ListedColormap(['b', 'r'])\n","\n","# plot the decision boundary\n","plt.figure(figsize = (5,5))\n","ax = plt.gca()\n","DecisionBoundaryDisplay.from_estimator(clf,\n"," x,\n"," response_method=\"predict\",\n"," cmap=cmap_2classes,\n"," alpha=0.5,\n"," ax=ax,\n"," xlabel='Feature 1',\n"," ylabel='Feature 2'\n"," )\n","ax.scatter(x[:, 0], x[:, 1], c=y, cmap=cmap_2classes, s=35, edgecolors='k')\n","plt.title('Logistic Regression: Decision boundary')\n","plt.tight_layout()\n","plt.show()"]},{"cell_type":"markdown","metadata":{"id":"54LYIEV9pv2M"},"source":["สังเกตได้ว่า decision boundary ของโมเดล logistic มีลักษณะเป็นเส้นตรง จำแนกกลุ่มข้อมูลต่างคลาสออกจากกัน"]},{"cell_type":"markdown","metadata":{"id":"Q14P1SGbDYP0"},"source":["## Logistic Regression เมื่อใช้ `solver` ชนิดต่างๆ\n","\n","เราสามารถ optimize โมเดล logistic โดยการหาค่าโมเดลพารามิเตอร์ $w$ ที่เหมาะสมด้วย iterative solver ที่ประมาณค่าคำตอบจากการปรับค่าและคำนวณซ้ำๆ เพื่อให้ได้คำตอบที่เข้าใกล้คำตอบที่ถูกต้องมากที่สุด อาทิเช่น\n","\n","**Newton-CG Solver**:\n","- ใช้วิธี Newton-Conjugate Gradient\n","- เหมาะสำหรับข้อมูลขนาดใหญ่ แต่จะใช้ computational time มากตามจำนวน features\n","- สามารถใช้ร่วมกับ L2 regularization\n","\n","**lbfgs Solver (Limited-memory Broyden-Fletcher-Goldfarb-Shanno)**:\n","- ใช้ L-BFGS algorithm ในการค้นหาค่าพารามิเตอร์ที่เหมาะสม\n","- เหมาะสำหรับข้อมูลขนาดเล็กถึงกลาง\n","- เป็น default solver ของ `scikit-learn` ในการทำ logistic regression\n","- สามารถใช้ร่วมกับ L2 regularization\n","\n","**liblinear Solver**:\n","- วิธีการนี้ใช้เทคนิคจากไลบรารี LIBLINEAR\n","- เหมาะสำหรับข้อมูลขนาดเล็ก\n","- สามารถใช้ร่วมกับ L1 และ L2 regularization\n","\n","เราสามารถเลือกใช้ iterative solver ที่เหมาะสมโดยยังมี hyperparameters อีก 2 ตัวที่กำหนดการหยุดทำงานของ iterative solvers เหล่านี้ ได้แก่\n","- `tol` คือ ค่า tolerance เป็นการกำหนดระดับความแม่นยำ (precision) ของ คำตอบจาก iterative solver โดยเมื่อค่าคำตอบที่ได้จาก solver มีการเปลี่ยนแปลงน้อยกว่าค่า tolerance ที่กำหนด จะถือว่าได้ค่าตอบที่มีความถูกต้องในระดับความแม่นยำที่ต้องการ และหยุดการคำนวณ\n","- `max_iter` กำหนดจำนวนครั้งมากที่สุดที่ให้ solver คำนวณหาค่าคำตอบ ก่อนยุติการคำนวณ"]},{"cell_type":"code","execution_count":7,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":298},"executionInfo":{"elapsed":1497,"status":"ok","timestamp":1692639017731,"user":{"displayName":"Itthi Chatnuntawech","userId":"06267664527776052880"},"user_tz":-420},"id":"97TYVhnYG9Pn","outputId":"d1c2d072-6f50-49eb-b2c8-2aa5295e33f8"},"outputs":[{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"}],"source":["# สร้างชุดโมเดล\n","models = (LogisticRegression(solver='newton-cg', max_iter=100, tol=1e-4),\n"," LogisticRegression(solver='lbfgs', max_iter=100, tol=1e-4),\n"," LogisticRegression(solver='liblinear', max_iter=100, tol=1e-4),\n"," )\n","# สอนโมเดลจากข้อมูล x, y ที่สร้างขึ้นก่อนหน้านี้\n","models = (clf.fit(x, y) for clf in models)\n","\n","# ตั้งชื่อ plot ที่สอดคล้องกับชุดข้อมูล\n","titles = ['Logistic Regression \\nwith $newton-cg$ solver',\n"," 'Logistic Regression \\nwith $lbfgs$ solver',\n"," 'Logistic Regression \\nwith $liblinear$ solver',\n"," ]\n","\n","# plot the decision boundaries\n","fig, axes = plt.subplots(1,3, figsize=(12, 4))\n","for clf, title, ax in zip(models, titles, axes.flatten()):\n"," disp = DecisionBoundaryDisplay.from_estimator(clf,\n"," x,\n"," response_method=\"predict\",\n"," cmap=cmap_2classes,\n"," alpha=0.5,\n"," ax=ax,\n"," xlabel='Feature 1',\n"," ylabel='Feature 2',\n"," )\n"," ax.scatter(x[:, 0], x[:, 1], c=y, cmap=cmap_2classes, s=20, edgecolors='k')\n"," ax.set_xticks(())\n"," ax.set_yticks(())\n"," ax.set_title(title)\n","plt.tight_layout()\n","plt.show()"]},{"cell_type":"markdown","metadata":{"id":"ZubU-bfBd52t"},"source":["จะเห็นได้ว่า solvers ต่างๆ สามารถค้นหาค่าพารามิเตอร์ $w$ ที่เหมาะสม โดยมี decision boundary ที่ใกล้เคียงกัน ทั้งนี้ decision boundary ของโมเดล logistic จะประกอบขึ้นจากเส้นตรง"]},{"cell_type":"markdown","metadata":{"id":"QezgWUDACGq-"},"source":["## Regularization\n","\n","หากพบปัญหา overfitting หรือการเรียนรู้ข้อมูลฝึกสอนมากเกินไปจนโมเดลจดจำคำตอบ เราสามารถใช้ regularization ร่วมกับ logistic regression\n","\n","ในไลบรารี่ `scikit-learn` เราสามารถปรับค่า regularization strength $\\lambda$ ได้โดยผ่านทางไฮเปอร์พารามิเตอร์ `C` โดย ค่า `C` มีค่าเท่ากับ $1/\\lambda$ (Inverse of Regularization Strength)\n"]},{"cell_type":"markdown","metadata":{"id":"ASiXinso96ZA"},"source":["## Logistic Regression Pipeline\n","\n","ต่อไปเราจะลองพัฒนาโมเดล logistic อย่างครบกระบวนการ ด้วยชุดข้อมูลที่จะสร้างขึ้น"]},{"cell_type":"markdown","metadata":{"id":"3H6G4zaql__3"},"source":["### Generate 3-class Dataset"]},{"cell_type":"code","execution_count":8,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":507},"executionInfo":{"elapsed":15,"status":"ok","timestamp":1692639017732,"user":{"displayName":"Itthi Chatnuntawech","userId":"06267664527776052880"},"user_tz":-420},"id":"WxRdKoVf9xj3","outputId":"353c67f5-245a-4497-c336-409e305d7eef"},"outputs":[{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"}],"source":["# สร้างข้อมูลโดยการเรียกใช้ generate_multi_class_dataset\n","# กำหนด จำนวนคลาส\n","n_classes = 3\n","\n","# กำหนด จำนวน features\n","n_features = 2\n","\n","# กำหนดช่วงค่า Mean และ standard deviation สำหรับแต่ละคลาส\n","mean_class = [[-2,2], [1,0], [2,1]]\n","std_class = [[0.5,0.5], [0.75,0.75],[0.75,0.5]]\n","\n","# กำหนดจำนวนข้อมูล สำหรับแต่ละคลาส\n","n_samples = 100\n","\n","# ทำการสร้างชุดข้อมูล\n","x, y = generate_multi_class_dataset(n_classes, n_features, mean_class, std_class,n_samples)\n","\n","# Plot ข้อมูล x, y ที่สร้างขึ้น\n","plt.figure(figsize = (5,5))\n","color_list = ['b','r','g']\n","cmap_3classes = colors.ListedColormap(color_list)\n","\n","for label in range(n_classes):\n"," plt.scatter(x[y==label, 0], x[y==label, 1], c=color_list[label], label='Class '+str(label))\n","\n","plt.xlabel('Feature 1')\n","plt.ylabel('Feature 2')\n","plt.title('Simulated 3-class dataset')\n","plt.legend()\n","plt.tight_layout()\n","plt.show()"]},{"cell_type":"markdown","metadata":{"id":"ybxUASmnKtf8"},"source":["ข้อมูลที่สร้างขึ้นมีประกอบด้วย 2 features และ 3 classes (class: 0, 1, 2) โดยข้อมูลในแต่ละคลาสมีจำนวนเท่ากันที่ 200 จุด เราจะพัฒนาโมเดล logistic เพื่อจำแนกข้อมูลแต่ละคลาสออกจากกัน\n","\n","เมื่อสังเกตการกระจายตัวของข้อมูล พบว่า class 0 มีการกระจายข้อมูลแบ่งแยกออกมาอย่างเห็นได้ชัด ในขณะที่ class 1 และ class 2 จะกระจายตัวอยู่ร่วมกัน"]},{"cell_type":"markdown","metadata":{"id":"7fE3HUJqKaCF"},"source":["### แบ่งข้อมูลเป็น training data และ test data\n","\n","โดยใช้ [train_test_split](https://scikit-learn.org/stable/modules/generated/sklearn.model_selection.train_test_split.html) จากไลบรารี่ `scikit-learn`\n","\n","ในตัวอย่างนี้เราจะใช้ default value ซึ่งจะ shuffle ข้อมูลก่อนแบ่งข้อมูล และ ไม่ stratify (ไม่กำกับสัดส่วนของคลาสใน training data และ test data)\n","\n","อย่างไรก็ดี ในกรณีที่ข้อมูลประกอบด้วยคลาสต่างๆ ที่มีสัดส่วนต่างกันอย่างมาก (imbalanced dataset) การทำ stratify มีความจำเป็นอย่างมากเพื่อคงสัดส่วนของแต่ละคลาส ใน training data และ test data"]},{"cell_type":"code","execution_count":9,"metadata":{"colab":{"base_uri":"https://localhost:8080/"},"executionInfo":{"elapsed":13,"status":"ok","timestamp":1692639017732,"user":{"displayName":"Itthi Chatnuntawech","userId":"06267664527776052880"},"user_tz":-420},"id":"_sP1x_kx91bb","outputId":"3324d610-2c20-4899-fd37-276af18c12e6"},"outputs":[{"name":"stdout","output_type":"stream","text":["Train set: จำนวนข้อมูล แบ่งกลุ่มตาม class label\n","[[ 0. 82.]\n"," [ 1. 79.]\n"," [ 2. 79.]]\n","Test set: จำนวนข้อมูล แบ่งกลุ่มตาม class label\n","[[ 0. 18.]\n"," [ 1. 21.]\n"," [ 2. 21.]]\n"]}],"source":["# สร้าง training data และ test data โดยแบ่งจากชุดข้อมูล x,y\n","x_train, x_test, y_train, y_test = train_test_split(x, y, test_size=0.2,\n"," stratify=None, random_state=RANDOM_SEED)\n","\n","print('Train set: จำนวนข้อมูล แบ่งกลุ่มตาม class label')\n","unique, counts = np.unique(y_train, return_counts=True)\n","print(np.asarray((unique, counts)).T)\n","\n","print('Test set: จำนวนข้อมูล แบ่งกลุ่มตาม class label')\n","unique, counts = np.unique(y_test, return_counts=True)\n","print(np.asarray((unique, counts)).T)"]},{"cell_type":"markdown","metadata":{"id":"m_fWWAGVVocW"},"source":["### ทำการ standardize ข้อมูลทั้งหมด\n","ใช้ mean และ standard deviation (SD) จาก training data ในการ standardize test set เพื่อป้องกัน information leak"]},{"cell_type":"code","execution_count":10,"metadata":{"executionInfo":{"elapsed":11,"status":"ok","timestamp":1692639017733,"user":{"displayName":"Itthi Chatnuntawech","userId":"06267664527776052880"},"user_tz":-420},"id":"IngRwoCh98rm"},"outputs":[],"source":["# สร้าง standardized scaler จาก features ใน training data\n","x_scaler = StandardScaler().fit(x_train)\n","\n","# scale ค่า features ใน training data และ test data\n","x_train = x_scaler.transform(x_train)\n","x_test = x_scaler.transform(x_test)"]},{"cell_type":"markdown","metadata":{"id":"h1wlV_AgVU8h"},"source":["### เทรนโมเดล ด้วย base model (default hyperparameter)"]},{"cell_type":"code","execution_count":11,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":723},"executionInfo":{"elapsed":1807,"status":"ok","timestamp":1692639019530,"user":{"displayName":"Itthi Chatnuntawech","userId":"06267664527776052880"},"user_tz":-420},"id":"FXNGGSXn-HY8","outputId":"9e76feed-77d6-48b9-914e-832b28fae548"},"outputs":[{"name":"stdout","output_type":"stream","text":["Training Set: Classification report\n"," precision recall f1-score support\n","\n"," 0.0 1.00 1.00 1.00 82\n"," 1.0 0.91 0.89 0.90 79\n"," 2.0 0.89 0.91 0.90 79\n","\n"," accuracy 0.93 240\n"," macro avg 0.93 0.93 0.93 240\n","weighted avg 0.93 0.93 0.93 240\n","\n","\n","Test Set: Classification report\n"," precision recall f1-score support\n","\n"," 0.0 1.00 1.00 1.00 18\n"," 1.0 0.93 0.67 0.78 21\n"," 2.0 0.74 0.95 0.83 21\n","\n"," accuracy 0.87 60\n"," macro avg 0.89 0.87 0.87 60\n","weighted avg 0.89 0.87 0.86 60\n","\n"]},{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"}],"source":["fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(8, 3))\n","\n","# สร้างโมเดล\n","base_clf = LogisticRegression()\n","\n","# สอนโมเดลด้วย training data\n","base_clf.fit(x_train,y_train)\n","\n","# ให้โมเดลทำนาย training data\n","y_pred = base_clf.predict(x_train)\n","\n","# แสดงผล classification ของโมเดลจาก training data\n","print('Training Set: Classification report')\n","print(classification_report(y_train, y_pred))\n","\n","# คำนวนและแสดงผล confusion matrix ของ training data\n","cm = confusion_matrix(y_train, y_pred)\n","display = ConfusionMatrixDisplay(confusion_matrix=cm)\n","display.plot(ax=ax1)\n","ax1.set_title('[Training Data] \\nConfusion Matrix: base model')\n","\n","# ให้โมเดลทำนาย test data\n","y_pred = base_clf.predict(x_test)\n","\n","# แสดงผล classification ของโมเดล\n","print('\\nTest Set: Classification report')\n","print(classification_report(y_test, y_pred))\n","\n","# คำนวนและแสดงผล confusion matrix ของ test set\n","cm = confusion_matrix(y_test, y_pred)\n","display = ConfusionMatrixDisplay(confusion_matrix=cm)\n","display.plot(ax=ax2)\n","ax2.set_title('[Test Data] \\nConfusion Matrix: base model')\n","\n","plt.tight_layout()\n","plt.show()"]},{"cell_type":"markdown","metadata":{"id":"RLkyePoad1br"},"source":["### ปรับแต่งโมเดล (Hyperparameter Tuning) ด้วย [GridSearchCV](https://scikit-learn.org/stable/modules/generated/sklearn.model_selection.GridSearchCV.html#sklearn.model_selection.GridSearchCV) และ train โมเดล\n","\n","โดยเราจะปรับแต่งโมเดล โดย tune 2 hyperparameters ที่สำคัญของ logistic regression ได้แก่\n","1. `solver`\n","2. `C`\n","\n","ในไลบรารี่ `scikit-learn` ยังมีวิธีการอื่นๆ ในการปรับแต่งโมเดล เช่น\n","- [CrossValScore](https://scikit-learn.org/stable/modules/generated/sklearn.model_selection.cross_val_score.html#sklearn.model_selection.cross_val_score)\n","- [RandomizedSearchCV](https://scikit-learn.org/stable/modules/generated/sklearn.model_selection.RandomizedSearchCV.html)"]},{"cell_type":"code","execution_count":12,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":794},"executionInfo":{"elapsed":14,"status":"ok","timestamp":1692639019530,"user":{"displayName":"Itthi Chatnuntawech","userId":"06267664527776052880"},"user_tz":-420},"id":"Ayu2fEKRek8i","outputId":"314ea42f-168f-49b7-84c5-1d53908aefee"},"outputs":[{"name":"stdout","output_type":"stream","text":["Best hyperparameters: {'C': 10, 'penalty': 'l2', 'solver': 'newton-cg'}\n","Best cross-validation score: 0.92\n","Training Set: Classification report\n"," precision recall f1-score support\n","\n"," 0.0 1.00 1.00 1.00 82\n"," 1.0 0.88 0.90 0.89 79\n"," 2.0 0.90 0.87 0.88 79\n","\n"," accuracy 0.93 240\n"," macro avg 0.92 0.92 0.92 240\n","weighted avg 0.93 0.93 0.92 240\n","\n","\n","Test Set: Classification report\n"," precision recall f1-score support\n","\n"," 0.0 1.00 1.00 1.00 18\n"," 1.0 0.94 0.71 0.81 21\n"," 2.0 0.77 0.95 0.85 21\n","\n"," accuracy 0.88 60\n"," macro avg 0.90 0.89 0.89 60\n","weighted avg 0.90 0.88 0.88 60\n","\n"]},{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"}],"source":["fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(8, 3))\n","\n","# กำหนดช่วงค่า hyperparameters ในรูปแบบ dictionary\n","clf_params = {'solver': ['newton-cg','lbfgs','liblinear'],\n"," 'C': [0.001, 0.01, 0.1, 1, 10, 100, 1000],\n"," 'penalty': ['l2']\n"," }\n","\n","# แบ่งข้อมูล training data ด้วย 5-fold cross-validation เพื่อ tune hyperparameter\n","cv_splitter = KFold(n_splits=5, shuffle=True, random_state=RANDOM_SEED)\n","\n","# ใช้ GridSearchCV เพื่อสอนโมเดลจากชุดค่า hyperparameters จาก clf_params\n","# และคำนวณค่า accuracy ของแต่ละโมเดล เพื่อเลือกชุด hyperparameters ที่ดีที่สุด\n","# โดยใช้เทคนิค cross-validation ในการแบ่งกลุ่ม validation data จาก training data\n","tuned_clf = GridSearchCV(estimator=base_clf, param_grid=clf_params,\n"," scoring=['accuracy'], refit='accuracy', cv=cv_splitter)\n","\n","# fit โมเดลด้วย training data และ ให้โมเดลทำนายค่า y จาก training data\n","tuned_clf.fit(x_train, y_train)\n","y_pred = tuned_clf.predict(x_train)\n","\n","# แสดงผล hyperparameters ที่ดีที่สุด และ cross-validation score\n","print('Best hyperparameters: {}'.format(tuned_clf.best_params_))\n","print(\"Best cross-validation score: {:.2f}\".format(tuned_clf.best_score_))\n","\n","# แสดงผล classification ของโมเดลจาก training data\n","print('Training Set: Classification report')\n","print(classification_report(y_train, y_pred))\n","\n","# คำนวนและแสดงผล confusion matrix ของโมเดลจาก training data\n","cm = confusion_matrix(y_train, y_pred)\n","display = ConfusionMatrixDisplay(confusion_matrix=cm)\n","display.plot(ax=ax1)\n","ax1.set_title('[Training Data] \\nConfusion Matrix: tuned model')\n","\n","# ให้โมเดลทำนายค่า y จาก test data\n","y_pred = tuned_clf.predict(x_test)\n","\n","# แสดงผล classification ของโมเดล จาก test data\n","print('\\nTest Set: Classification report')\n","print(classification_report(y_test, y_pred))\n","# คำนวนและแสดงผล confusion matrix จาก test data\n","cm = confusion_matrix(y_test, y_pred)\n","display = ConfusionMatrixDisplay(confusion_matrix=cm)\n","display.plot(ax=ax2)\n","ax2.set_title('[Test Data] \\nConfusion Matrix: tuned model')\n","\n","plt.show()"]},{"cell_type":"markdown","metadata":{"id":"Tn0RE9gT8tV8"},"source":["จะสังเกตได้ว่า เมื่อมีการปรับจูน hyperparameters ของโมเดลให้มีความเหมาะสมแล้ว เราได้โมเดลที่เรียนรู้จากข้อมูลชุดเดิม แล้วสามารถทำนาย test data ได้ค่า accuracy ที่สูงขึ้น โดยเมื่อพิจารณา Confusion Matrix จะพบว่า โมเดลสามารถจำแนกข้อมูล class 1 และ class 2 ได้ดีขึ้น"]},{"cell_type":"markdown","metadata":{"id":"w5kls-mR-N7m"},"source":["### Decision Boundary"]},{"cell_type":"markdown","metadata":{"id":"tcJhpQ_i7um8"},"source":["เราจะมาลองดู decision boundary ของโมเดลบน training data และ test data"]},{"cell_type":"code","execution_count":13,"metadata":{"colab":{"base_uri":"https://localhost:8080/","height":407},"executionInfo":{"elapsed":10,"status":"ok","timestamp":1692639019531,"user":{"displayName":"Itthi Chatnuntawech","userId":"06267664527776052880"},"user_tz":-420},"id":"BYGwA1O8-RC3","outputId":"13d2dac9-e244-433b-d328-bf544c162371"},"outputs":[{"data":{"image/png":"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","text/plain":["
"]},"metadata":{},"output_type":"display_data"}],"source":["# plot the decision boundaries\n","fig, axes = plt.subplots(1,2, figsize=(7, 4))\n","titles = ['[Training Data] \\nLogistic Regression: Decision boundary', '[Test Data] \\nLogistic Regression: Decision boundary']\n","for x, y, title, ax in zip([x_train, x_test], [y_train, y_test], titles, axes.flatten()):\n"," disp = DecisionBoundaryDisplay.from_estimator(tuned_clf,\n"," x,\n"," response_method=\"predict\",\n"," cmap=cmap_3classes,\n"," alpha=0.5,\n"," ax=ax,\n"," xlabel='Feature 1',\n"," ylabel='Feature 2',\n"," )\n"," ax.scatter(x[:, 0], x[:, 1], c=y, cmap=cmap_3classes, s=20, edgecolors='k')\n"," ax.set_xticks(())\n"," ax.set_yticks(())\n"," ax.set_title(title)\n","plt.tight_layout()\n","plt.show()"]},{"cell_type":"markdown","metadata":{"id":"px1j4nVD_kYT"},"source":["เมื่อชุดข้อมูลประกอบด้วย 3 คลาส decision boundary ของโมเดล logistic regression ยังคงประกอบเส้นตรง เพื่อจำแนกกลุ่มข้อมูลออกจากกัน"]},{"cell_type":"markdown","metadata":{},"source":["**ผู้จัดเตรียม code ใน tutorial**: ดร. กนกกร พิมพ์เจริญ"]},{"cell_type":"markdown","metadata":{},"source":[]}],"metadata":{"colab":{"provenance":[],"toc_visible":true},"kernelspec":{"display_name":"Python 3 (ipykernel)","language":"python","name":"python3"},"language_info":{"codemirror_mode":{"name":"ipython","version":3},"file_extension":".py","mimetype":"text/x-python","name":"python","nbconvert_exporter":"python","pygments_lexer":"ipython3","version":"3.9.7"}},"nbformat":4,"nbformat_minor":0}