{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Polynomial Regression, Overfitting, and Regularization" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "-SinsrSt1_NL" }, "source": [ "## Polynomial Regression\n", "\n", "\n", "\n", "[Slides: Polynomial Regression, Overfitting and Regularization 1](https://github.com/ichatnun/brainCodeCamp2023_lectures/blob/main/IntroToModeling/modeling_part2a_polynomial1.pdf)\n", "\n", "
\n", "\n", "ข้อมูลจำนวนมากที่พบเจอในการทำงานจริง มักมีความสัมพันธ์ที่ซับซ้อน ซึ่งเมื่อนำมา plot ดูแล้วอาจจะมีหน้าตาที่ไม่สอดคล้องกับโมเดลเชิงเส้น ดังตัวอย่างด้านล่าง ที่ $y$ ถูกสร้างมาจากสมการ $y=x^2$" ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "id": "CIY2cgN32BpM" }, "outputs": [], "source": [ "import sys\n", "import numpy as np\n", "from numpy.linalg import norm\n", "import matplotlib.pyplot as plt\n", "from sklearn.linear_model import LinearRegression\n", "from sklearn.preprocessing import PolynomialFeatures\n", "\n", "import ipywidgets as widgets # ใช้สำหรับการทำ interactive display\n", "\n", "np.random.seed(777) # ตั้งค่า random seed เอาไว้ เพื่อให้การรันโค้ดนี้ได้ผลเหมือนเดิม" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 449 }, "id": "iOh-ADt2jiEr", "outputId": "1c314274-c7d7-46e1-f6d4-6c4aa7070c19" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def generate_sample_poly(x, w_list, include_noise=True, noise_level=2):\n", "\n", " # จำลองการใส่สัญญาณรบกวนเข้าไป\n", " if include_noise:\n", " noise = noise_level*np.random.randn(*x.shape)\n", " else:\n", " noise = 0\n", "\n", " y = 0\n", "\n", " # ค่อย ๆ เติม พจน์ที่มีเลขยกกำลังต่าง ๆ กัน ตาที่กำหนดไว้ใน w_list\n", " for curr_order, curr_w in enumerate(w_list):\n", " y += curr_w* (x**curr_order)\n", "\n", " return y + noise\n", "\n", "\n", "num_samples = 100\n", "w = [0, 0, 1]\n", "x = 10*np.random.rand(num_samples,1) - 5\n", "y = generate_sample_poly(x, w, include_noise=True)\n", "\n", "# สร้างข้อมูลที่ไม่มีสัญญาณรบกวนมาเปรียบเทียบ\n", "y_true = generate_sample_poly(x, w, include_noise=False)\n", "\n", "# สร้างข้อมูลที่ไม่มีสัญญาณรบกวนมาแบบละเอียด เพื่อใช้ในการวาดกราฟ (เส้นประสีดำ)\n", "x_whole_line = np.linspace(-5, 5, 100)\n", "y_true_whole_line = generate_sample_poly(x_whole_line, w, include_noise=False)\n", "\n", "# Plot ข้อมูล x, y ที่มีอยู่\n", "fig, ax = plt.subplots()\n", "ax.scatter(x, y, c='b', label='Observed')\n", "ax.plot(x_whole_line, y_true_whole_line, 'k--', label='True' )\n", "ax.set(xlabel='x', ylabel='y')\n", "ax.legend()\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "mucSJ9Xx1LEZ" }, "source": [ "หากเรานำเอาสมการเส้นตรง $ y = \\hat{w_0} + \\hat{w_1} x$ มาอธิบายข้อมูลประเภทนี้ จะส่งผลให้เกิดความคาดเคลื่อนได้" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 524 }, "id": "q0CAVa6d1Veb", "outputId": "87aa2c29-362b-4dc8-bc0c-f91ff32c1b5f" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Estimated slope -0.18\n", "\n", "Estimated intercept 8.10\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model_linear = LinearRegression()\n", "\n", "# ให้โมเดลหาค่า w_0 and w_1 จากข้อมูล (x,y) ทั้งหมดที่มี\n", "model_linear.fit(x, y)\n", "\n", "w0_hat = model_linear.intercept_[0]\n", "w1_hat = model_linear.coef_[0][0]\n", "\n", "print(f\"Estimated slope {w1_hat:0.2f}\\n\")\n", "print(f\"Estimated intercept {w0_hat:0.2f}\")\n", "\n", "# ใช้โมเดลทำนายค่า y จากค่า x วิธีที่ 2\n", "y_hat = model_linear.predict(x)\n", "\n", "# ฟังก์ชันสำหรับวัด mean squared error ระหว่างค่าที่ทำนายได้ (y_hat) และค่าผลเฉลย y\n", "def mse(y, y_hat):\n", " return np.mean((y-y_hat)**2)/y.shape[0]\n", "\n", "mse_val = mse(y_true, y_hat)\n", "\n", "# แสดงผลการทำนาย\n", "fig, ax = plt.subplots()\n", "ax.scatter(x, y, c='b', label='Observed')\n", "ax.set(xlabel='x', ylabel='y')\n", "ax.scatter(x, y_hat, c='r', label='Predicted')\n", "ax.plot(x_whole_line, y_true_whole_line, 'k--', label='True' )\n", "ax.legend()\n", "ax.set_title(f\"The error as measured by MSE = {mse_val:0.4f} w.r.t the true relationship\")\n", "plt.show()\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "HBiHFJr94eJv" }, "source": [ "จะพบว่าโมเดลเส้นตรงนั้นไม่สอดคล้องกับข้อมูลที่เรามีอยู่ สังเกตได้จาก\n", "\n", "1. ข้อมูลสีแดงที่โมเดลทำนายมา ไม่สอดคล้องกับข้อมูลจุดสีน้ำเงิน\n", "2. ค่า mean squared error (MSE) สูง\n", "\n", "จึงมีความจำเป็นที่จะต้องหาวิธีที่จะอธิบายความสัมพันธ์แบบที่ไม่เป็นเส้นตรง (nonlinear relationship) ได้\n", "\n", "ในส่วนนี้เราจะลองใช้โมเดลที่มีสมการดังนี้ $y = \\hat{w_0} + \\hat{w_1}x+ \\hat{w_2}x^2+ ...+ \\hat{w_p} x^p$\n", "\n", "* ถ้า $p = 1$ เราจะได้โมเดล $y = \\hat{w_0} + \\hat{w_1} x$ ในการพัฒนาโมเดลในกรณีนี้ เราจะต้องหาค่า $\\hat{w_0}$ (จุดตัดแกน $y$ ที่เหมาะสม) และค่า $\\hat{w_1}$ (ค่าความชันของเส้นตรง) ได้เหมือนกับตัวอย่างที่ผ่าน ๆ มา\n", "\n", "* ถ้า $p = 2$ เราจะได้โมเดล $y = \\hat{w_0} + \\hat{w_1} x + \\hat{w_2} x^2$ ในกรณีนี้เราจะต้องหาค่า $\\hat{w_0}, \\hat{w_1}$ และ $\\hat{w_2}$\n", "\n", "* ถ้า $p = 3$ เราจะได้โมเดล $y = \\hat{w_0} + \\hat{w_1} x + \\hat{w_2} x^2 + \\hat{w_3} x^3$ ในกรณีนี้เราจะต้องหาค่า $\\hat{w_0}, \\hat{w_1}, \\hat{w_2}$ และ $\\hat{w_3}$\n", "\n", "สังเกตได้ว่ายิ่ง $p$ มีค่าสูงมากขึ้น จำนวนตัวแปรที่เราต้องหาค่าเพื่อพัฒนาโมเดลจะเพิ่มขึ้น\n", "\n", "หากเราสนใจประมาณค่า $\\hat{w}$ โมเดลนี้จะถือว่าเป็นโมเดลเชิงเส้น (ในโมเดลไม่มีพจน์ประเภทที่เลขชี้กำลังของ $\\hat{w}$ มีค่าไม่ใช่ $0$ หรือ $1$ เลย เช่น ไม่มี $\\hat{w^2}, \\hat{w^3}, ..., \\hat{w^p}$ เลย) ทำให้เราสามารถใช้ `LinearRegression` ในการแก้ปัญหาได้เหมือนเดิม เพียงแต่เราต้องมีการปรับแก้ input ก่อน\n", "\n", "\n", "---\n", "ข้อมูลทางเทคนิคเพิ่มเติม\n", "\n", "ใน part ที่แล้วเราได้เห็นแล้วว่า multiple linear regression มีสมการเป็น\n", "\n", "$$ y = \\hat{w_0} + \\hat{w_1} x_1+ \\hat{w_2} x_2 + ...+ \\hat{w_p} x_p$$\n", "\n", "หากกำหนดให้ $z_i = x^i$ จะส่งผลให้เราสามารถเขียนโมเดลใหม่ได้เป็น\n", "\n", "$$y = \\hat{w_0} + \\hat{w_1} z_1+ \\hat{w_2} z_2 + ...+ \\hat{w_p} z_p$$\n", "\n", "เราเห็นว่าทั้งสองสมการหน้าตาคล้ายกันมาก และเรารู้วิธีใช้ `LinearRegression` มาหาค่า $\\hat{w_0}, \\hat{w_1}, ..., \\hat{w_p}$ ของสมการแรกได้ เราก็ควรจะใช้ `LinearRegression` มาหาค่า $\\hat{w_0}, \\hat{w_1}, ..., \\hat{w_p}$ ของสมการที่ 2 ได้เช่นกัน\n", "\n", "---\n", "\n", "\n", "ในส่วนถัดไป เราจะลองนำเอาโมเดล $y = \\hat{w_0} + \\hat{w_1} z_1+ \\hat{w_2} z_2 + \\hat{w_3} z_3 + \\hat{w_4} z_4$ มาใช้กับข้อมูลจากข้อก่อนหน้า" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 489 }, "id": "MmtIfIfCfwMB", "outputId": "b24e9ace-65f9-4d39-901c-b7bf8ff33955" }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[w_0, w_1, ...]= [ 0. -0.00433819 1.03139417 -0.00184097 -0.00225545]\n" ] } ], "source": [ "# ฟังก์ชันสำหรับ fit โมเดล polynomial ที่มี order ที่กำหนด และ ทำนายผลของโมเดลหลังจากถูกสอนด้วย training data แล้ว\n", "def fit_and_predict_polynomial(x_train, # ค่า x ที่ใช้เป็น input ของโมเดล (จาก training data)\n", " y_train, # ค่า y ที่ใช้เป็นเฉลยให้โมเดล (จาก training data)\n", " poly_order=4, # ค่า order ของ polynomial ที่เราใช้\n", " x_test_dict=None, # Python dictionary ที่ใช้เก็บชุดข้อมูลที่เราอยากจะนำมาทดสอบ โดยสามารถเลือกชุดข้อมูลผ่าน key ของ dictionary นี้\n", " y_test_dict=None): # Python dictionary ที่ใช้เก็บชุดข้อมูลที่ค่า y ที่เป็นเฉลยของข้อมูลที่นำมาทดสอบ โดยสามารถเลือกชุดข้อมูลผ่าน key ของ dictionary นี้\n", "\n", " # สร้างตัวแปรประเภท Python dictionary สำหรับเก็บค่า output ของฟังก์ชันนี้\n", " mse_dict = {} # ค่า mse\n", " out_x = {} # ค่า x ที่ใช้เป็น input ของโมเดล\n", " out_y_hat = {} # ค่า y ที่โมเดลตอบมา\n", " out_y = {} # ค่า y ที่เป็นเฉลย\n", "\n", " # สร้างโมเดลสำหรับแปลงจาก x เป็น z\n", " extract_poly_feat = PolynomialFeatures(degree=poly_order, include_bias=True)\n", "\n", " # แปลงจากค่า x ให้กลายเป็น z\n", " z_train = extract_poly_feat.fit_transform(x_train)\n", "\n", " # สร้างโมเดล y = w_0 + w_1*z_1 + w_2 * z_2 + ...\n", " model_poly = LinearRegression()\n", "\n", " # สอนโมเดลจาก training data ที่ input ถูก transfrom จาก x มาเป็น z แล้ว\n", " model_poly.fit(z_train, y_train)\n", "\n", " # ทดสอบโมเดลบน training data\n", " y_hat_train = model_poly.predict(z_train)\n", "\n", " # ถ้าเกิดว่า user ไม่ได้ให้ test data มา จะใช้ training data เป็น test data\n", " if x_test_dict is None:\n", " x_test_dict = {}\n", " y_test_dict = {}\n", "\n", " # เพิ่ม training data เข้าไปใน test_dict เพื่อที่จะใช้เป็นหนึ่งในข้อมูลสำหรับที่จะให้โมเดลลองทำนาย\n", " x_test_dict['train'] = x_train\n", " y_test_dict['train'] = y_train\n", "\n", " # ทดสอบโมเดลบนข้อมูลแต่ละชุดข้อมูล (แต่ละชุดข้อมูลถูกเลือกจาก key ของ dictionary)\n", " for curr_mode in x_test_dict.keys():\n", "\n", " # แปลงค่า x ให้เป็น z เหมือนขั้นตอนด้านบนที่เรา fit โมเดล\n", " z_test = extract_poly_feat.fit_transform(x_test_dict[curr_mode])\n", "\n", " # ทำนายค่า y โดยใช้โมเดล\n", " y_hat_test = model_poly.predict(z_test)\n", "\n", " # คำนวณค่า mse บน test data\n", " mse_dict[curr_mode] = mse(y_test_dict[curr_mode], y_hat_test)\n", "\n", " # เตรียมข้อมูลเป็น output ของฟังก์ชันนี้ เผื่อเรียกใช้ภายหลัง เช่น การนำเอาข้อมูลไป plot\n", " out_x[curr_mode] = x_test_dict[curr_mode] # เก็บค่า x ที่นำมาทดสอบ\n", " out_y_hat[curr_mode] = y_hat_test # เก็บค่า y ที่โมเดลทำนายออกมา\n", " out_y[curr_mode] = y_test_dict[curr_mode] # เก็บค่า y ที่เป็นผลเฉลย\n", "\n", " return out_x, out_y_hat, out_y, mse_dict, model_poly.coef_[0]\n", "\n", "\n", "# polynomial order\n", "poly_order = 4\n", "out_x, out_y_hat, out_y, mse_dict, model_coeffs = fit_and_predict_polynomial(x,\n", " y,\n", " poly_order)\n", "\n", "# แสดงผลการทำนาย\n", "fig, ax = plt.subplots()\n", "ax.scatter(out_x['train'], out_y_hat['train'], c='r', label='Predicted (poly)')\n", "ax.scatter(x, y, c='b', label='Observed')\n", "ax.plot(x_whole_line, y_true_whole_line, 'k--', label='True' )\n", "ax.set(xlabel='x', ylabel='y')\n", "ax.legend()\n", "ax.set_title(f\"The error as measured by MSE = {mse_val:0.4f}\")\n", "plt.show()\n", "\n", "# แสดงค่า w ของโมเดล\n", "print(f\"[w_0, w_1, ...]= {model_coeffs}\")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "O6qBIAT9UXzN" }, "source": [ "ถึงแม้ว่าเราจะใช้โมเดลที่มีสมการเป็น $\\hat{y} = \\hat{w_0} + \\hat{w_1}x + \\hat{w_2} x^2 + \\hat{w_3} x^3 + \\hat{w_4}x^4$ เราพบว่าโมเดลประมาณค่าของ $\\hat{w_3}$ และ $\\hat{w_4}$ เป็นตัวเลขที่มีค่าใกล้ศูนย์มาก ๆ ซึ่งแปลว่าโมเดลเราจะมีพฤติกรรมคล้ายคลึงกับโมเดลที่มีสมการเป็น $\\hat{y} = \\hat{w_0} + \\hat{w_1}x + \\hat{w_2} x^2$\n", "\n", "\n", "**หมายเหตุ** เราจะเรียกข้อมูลที่ใช้สำหรับสอนโมเดลว่า training data $(x_{train},y_{train})$ และจะเรียกข้อมูลที่ใช้สำหรับทดสอบโมเดลว่า test data $(x_{test},y_{test})$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Overfitting\n", "\n", "หากสังเกตดู code ด้านบนจะพบว่าข้อมูลที่เราใช้สำหรับสอนโมเดลนั้นมีจำนวนค่อนข้างมาก เมื่อเทียบกับจำนวนตัวแปร (มีข้อมูล 100 จุด แต่มีจำนวนตัวแปรแค่ 5 ตัว ซึ่งประกอบไปด้วย $\\hat{w_0}, \\hat{w_1}, \\hat{w_2}, \\hat{w_3}$ และ $\\hat{w_4}$)\n", "\n", "ในส่วนถัดไป เราจะลองใช้วิธีการเดิม โดยที่ข้อมูลนั้นจะยังถูกสร้างจากสมการ $y=x^2$ เหมือนเดิม แต่มีจำนวนจุดข้อมูลที่น้อยลงมาก (จาก 100 จุด เหลือเป็น 10 จุด) และเราจะลองเปลี่ยนค่า polynomial order ไปเรื่อย ๆ" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 474, "referenced_widgets": [ "acc3aeddd6524d20a9102a28f90aca61", "e10bd3887e3949a3b6be839b829d538d", "98bf98b5aeee44e6b5809546c5aca763", "ecf60172b1f34f5aa4f4c5d111fabe9e", "b3f7c23e695e4c078a357f7f107505c8", "9d4d98cd6dd449d2a8c76dda30c937aa", "53989988c4414a428699df830e69ad24", "9b8a465eb65647f19422af56d4bfba4b", "70cb7f75a27d45e1a13a2cc3f5451f36", "3dca5b32c0e442ccb0070f9c5a483529" ] }, "id": "-EVi23zaHdBp", "outputId": "7e560a75-1f24-4602-cb71-7dadd5aa4c33" }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "acc3aeddd6524d20a9102a28f90aca61", "version_major": 2, "version_minor": 0 }, "text/plain": [ "interactive(children=(IntSlider(value=2, description='p', max=50, min=1), Checkbox(value=True, description='Sh…" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# มีจำนวนข้อมูลแค่ 10 จุด\n", "num_samples = 10\n", "w = [0, 0, 1]\n", "x_train = 10*np.random.rand(num_samples,1) - 5\n", "y_train = generate_sample_poly(x_train, w, include_noise=True)\n", "\n", "# สร้างข้อมูลที่ไม่มีสัญญาณรบกวนมาเปรียบเทียบ\n", "x_whole_line = np.linspace(-5,5,100)\n", "y_true_whole_line = generate_sample_poly(x_whole_line, w, include_noise=False)\n", "\n", "# ใส่แถบสำหรับปรับค่า w1_hat และ w2_hat รวมถึงช่องสำหรับให้เลือกว่าจะโขว์เส้นความสัมพันธ์ระหว่าง x และ y ที่แท้จริงหรือไม่\n", "@widgets.interact(p=widgets.IntSlider(2, min=1, max=50),\n", " show_true_line=widgets.Checkbox(True, description='Show true data'))\n", "def plot_poly_results(p, show_true_line):\n", "\n", " # fit โมเดล และให้โมเดลทำนายค่า y ออกมา\n", " curr_outputs = fit_and_predict_polynomial(x_train, y_train, p)\n", "\n", " # ดึงเอา output ของฟังก์ชันออกมา\n", " out_x = curr_outputs[0] # ค่า x ที่ถูกใช้ทดสอบโมเดล\n", " out_y_hat = curr_outputs[1] # ค่า y ที่โมเดลทำนายออกมา\n", " mse_dict = curr_outputs[3] # ค่า mse ระหว่างสิ่งที่โมเดลทำนายออกมาและผลเฉลย\n", "\n", " # สร้าง figure\n", " fig, ax = plt.subplots(figsize=(4,4))\n", "\n", " # Plot ข้อมูลที่เราใช้ fit โมเดล (สอนโมเดล)\n", " ax.scatter(x_train, y_train, c='b', label='Observed')\n", "\n", " # Plot ข้อมูลที่โมเดลทำนายค่าออกมา\n", " ax.scatter(out_x['train'], out_y_hat['train'], c='r', label='Predicted (poly)')\n", "\n", " # Plot ข้อมูลที่ไม่มี noise สำหรับเป็น reference ไว้ดู\n", " if show_true_line:\n", " ax.plot(x_whole_line, y_true_whole_line, 'k--', label='True')\n", "\n", " ax.set(xlabel='x', ylabel='y')\n", " ax.set_title(f\"Order = {p} with MSE = {mse_dict['train']:0.4f}\")\n", " ax.legend()\n", " plt.show()\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "qf5oLU2PKNJR" }, "source": [ "ทีนี้เราลองเอาผลจากค่า polynomial order ของโมเดลที่แตกต่างกันมาเปรียบเทียบกันดู" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 1000 }, "id": "Y6blSRtCTVG5", "outputId": "c1acf015-0678-4063-9651-0fa5dc870572" }, "outputs": [ { "data": { "image/png": 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", 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# ลองทดสอบเปลี่ยนค่า polynomial order\n", "poly_order_list = [1, 2, 4, 8, 10, 15]\n", "mse_list = [] # ตัวแปรสำหรับเก็บค่า mse\n", "\n", "fig, ax = plt.subplots(2,3, figsize=(15, 12))\n", "fig_row, fig_col = 0, 0\n", "\n", "for idx, curr_poly_order in enumerate(poly_order_list):\n", "\n", " # fit โมเดล และให้โมเดลทำนายค่า y ออกมา\n", " curr_outputs = fit_and_predict_polynomial(x_train, y_train, curr_poly_order)\n", "\n", " # ดึงเอา output ของฟังก์ชันออกมา\n", " out_x = curr_outputs[0] # ค่า x ที่ถูกใช้ทดสอบโมเดล\n", " out_y_hat = curr_outputs[1] # ค่า y ที่โมเดลทำนายออกมา\n", " mse_dict = curr_outputs[3] # ค่า mse ระหว่างสิ่งที่โมเดลทำนายออกมาและผลเฉลย\n", "\n", " # เก็บค่า mse ของแต่ละชุดข้อมูลที่นำมาทดสอบที่มีค่า order ของ polynomial ที่แตกต่างกัน\n", " mse_list.append(mse_dict['train'])\n", "\n", " # แสดงผล\n", " if idx % 3 == 0 and idx != 0:\n", " fig_col = 0\n", " fig_row += 1\n", "\n", " # Plot ข้อมูลที่เราใช้ fit โมเดล (สอนโมเดล)\n", " ax[fig_row, fig_col].scatter(x_train, y_train, c='b', label='Observed')\n", "\n", " # Plot ข้อมูลที่โมเดลทำนายค่าออกมา\n", " ax[fig_row, fig_col].scatter(out_x['train'], out_y_hat['train'], c='r', label='Predicted (poly)')\n", "\n", " # Plot ข้อมูลที่ไม่มี noise สำหรับเป็น reference ไว้ดู\n", " ax[fig_row, fig_col].plot(x_whole_line, y_true_whole_line, 'k--', label='True')\n", "\n", " ax[fig_row, fig_col].set(xlabel='x', ylabel='y')\n", " ax[fig_row, fig_col].set_title(f\"Order = {curr_poly_order} with MSE = {mse_dict['train']:0.4f}\")\n", "\n", " ax[fig_row, fig_col].legend()\n", " \n", " fig_col += 1\n", "\n", "# แสดงผล mse vs poly order\n", "plt.figure()\n", "plt.plot(poly_order_list, mse_list)\n", "plt.xlabel('Polynomial order')\n", "plt.ylabel('MSE')\n", "plt.grid()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "lsERktOMTK-v" }, "source": [ "จากผลการทดสอบเปลี่ยนค่า polynomial order ของโมเดล จะพบว่าค่า MSE ที่ถูกทดสอบมีค่าน้อยลงเรื่อยๆ จนเหลือ $0$ ที่ polynomial order $= 15$\n", "\n", "แสดงว่าในการใช้งานจริงเราควรจะใช้ค่า order สูงๆ เนื่องจากมีค่า MSE น้อยที่สุดใช่หรือไม่\n", "\n", "---\n", "\n", "คำตอบคือไม่\n", "\n", "MSE ที่เรานำมาใช้คำนวณเป็น MSE จาก training data ซึ่งเป็นข้อมูลที่โมเดลใช้ในการหาค่า $\\hat{w}$ ซึ่งการที่โมเดลมีค่า MSE ต่ำมากๆ แสดงว่าโมเดลมีความสามารถในการ fit ข้อมูลที่โมเดลเคยเห็นมาแล้วได้เป็นอย่างดี แต่ถ้าเกิดว่าเรานำเอาค่า $x$ ตัวใหม่ที่โมเดลไม่เคยเห็นมาก่อน โมเดลที่มี order สูงจะยัง fit ได้ดีหรือไม่\n", "\n", "เราจะลองเขียนโปรแกรมเพื่อทดสอบดู" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 524 }, "id": "w0R2Jfh3iD76", "outputId": "3fbe8af3-cd5a-40c0-a196-9c9526a05bc6" }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "[w_0, w_1, ...]= [ 4.38918870e-07 -9.16803517e-01 5.25232344e-01 -9.06545642e-01\n", " 5.91847282e-01 -7.01295262e-01 3.80429515e-02 1.41867825e-02\n", " -6.74743217e-01 3.47335771e-02 3.91400155e-01 1.12787498e-01\n", " -3.56448876e-02 -2.30436108e-02 -4.11080381e-03 -2.51657502e-04]\n" ] } ], "source": [ "# สร้างข้อมูลสำหรับใช้ทดสอบจำนวนมาก\n", "x_test = np.reshape(np.linspace(-10,10,1000), (-1,1))\n", "y_test = generate_sample_poly(x_test, w, include_noise=True)\n", "\n", "# จากการทดลองด้านบน เราพบว่า poly_order = 15 มีค่า MSE ที่ต่ำที่สุด\n", "poly_order = 15\n", "\n", "# fit โมเดล และให้โมเดลทำนายค่า y ออกมา\n", "curr_outputs = fit_and_predict_polynomial(x_train, y_train, curr_poly_order, {'test': x_test}, {'test': y_test})\n", "\n", "# ดึงเอา output ของฟังก์ชันออกมา\n", "out_x = curr_outputs[0] # ค่า x ที่ถูกใช้ทดสอบโมเดล\n", "out_y_hat = curr_outputs[1] # ค่า y ที่โมเดลทำนายออกมา\n", "mse_dict = curr_outputs[3] # ค่า mse ระหว่างสิ่งที่โมเดลทำนายออกมาและผลเฉลย\n", "model_coeffs = curr_outputs[4] # ค่า coefficients ของโมเดล\n", "\n", "# แสดงผลการทำนาย\n", "fig, ax = plt.subplots()\n", "ax.scatter(x_train, y_train, c='b', label='Observed')\n", "ax.plot(out_x['test'], out_y_hat['test'], c='r', label='Predicted (poly)')\n", "ax.plot(x_whole_line, y_true_whole_line, 'k--', label='True')\n", "ax.set(xlabel='x', ylabel='y')\n", "ax.legend()\n", "ax.set_ylim(-5, 30)\n", "plt.show()\n", "\n", "# แสดงค่า w ของโมเดล\n", "print(f\"[w_0, w_1, ...]= {model_coeffs}\")" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "OrBwXP65G8k5" }, "source": [ "จากการทดสอบด้านบนจะพบว่าโมเดลมี training error เป็นศูนย์ (สังเกตได้จากการที่เส้นสีแดงวิ่งผ่านจุดสีน้ำเงินทั้งหมด) แต่จะเห็นได้ว่าเส้นสีแดงนั้น ไม่สอดคล้องกับ โมเดลจริง (เส้นประสีดำ) เลย\n", "\n", "ปัญหาที่โมเดลสามารถให้คำตอบที่ถูกต้องบน training data แต่มีปัญหาในการใช้งานกับข้อมูลที่ไม่ได้ถูกนำมาสอนนั้น มีชื่อเรียกว่าปัญหา overfitting\n", "\n", "นอกจากปัญหา overfitting แล้ว เราก็ยังมี underfitting ซึ่งเป็นปัญหาที่เราจะเจอในกรณีที่โมเดลอาจจะมีความซับซ้อนน้อยเกินไป จนไม่สามารถเรียนรู้ที่จะให้คำตอบที่ถูกต้องแม้กระทั่งกับ training data ซึ่งเป็นสิ่งที่ใช้สอนโมเดล\n", "\n", "

\n", "Code ส่วนถัดไปสร้างภาพสรุป concept นี้" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 450 }, "id": "fi1fzsfjGX3J", "outputId": "90bc5be0-20b3-4368-bfcd-4faf2383b807" }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# สร้างข้อมูลสำหรับใช้ทดสอบจำนวนมาก\n", "x_test = np.reshape(np.linspace(-10, 10, 1000), (-1, 1))\n", "y_test = generate_sample_poly(x_test, w, include_noise=True)\n", "\n", "# Underfit\n", "curr_outputs = fit_and_predict_polynomial(x_train, y_train, 1, {'test': x_test}, {'test': y_test})\n", "x_test_underfit = curr_outputs[0]['test']\n", "y_hat_test_underfit = curr_outputs[1]['test']\n", "\n", "# Well fit\n", "curr_outputs = fit_and_predict_polynomial(x_train, y_train, 2, {'test': x_test}, {'test': y_test})\n", "x_test_wellfit = curr_outputs[0]['test']\n", "y_hat_test_wellfit = curr_outputs[1]['test']\n", "\n", "# Overfit\n", "curr_outputs = fit_and_predict_polynomial(x_train, y_train, 15, {'test': x_test}, {'test': y_test})\n", "x_test_overfit = curr_outputs[0]['test']\n", "y_hat_test_overfit = curr_outputs[1]['test']\n", "\n", "# แสดงผลการทำนาย\n", "fig, ax = plt.subplots(1, 3, figsize=(18, 6))\n", "\n", "ax[0].scatter(x_train, y_train, c='b', label='Observed')\n", "ax[0].plot(x_test_underfit, y_hat_test_underfit, c='r', label='Predicted (poly)')\n", "ax[0].plot(x_whole_line, y_true_whole_line,'k--', label='True')\n", "ax[0].set(xlabel='x', ylabel='y')\n", "ax[0].legend()\n", "ax[0].set_ylim(-5, 30)\n", "ax[0].set_title('Underfitting')\n", "\n", "ax[1].scatter(x_train, y_train, c='b', label='Observed')\n", "ax[1].plot(x_test_wellfit, y_hat_test_wellfit, c='r', label='Predicted (poly)')\n", "ax[1].plot(x_whole_line, y_true_whole_line, 'k--', label='True')\n", "ax[1].set(xlabel='x', ylabel='y')\n", "ax[1].legend()\n", "ax[1].set_ylim(-5, 30)\n", "\n", "ax[2].scatter(x_train, y_train, c='b', label='Observed')\n", "ax[2].plot(x_test_overfit, y_hat_test_overfit, c='r', label='Predicted (poly)')\n", "ax[2].plot(x_whole_line, y_true_whole_line, 'k--', label='True')\n", "ax[2].set(xlabel='x', ylabel='y')\n", "ax[2].legend()\n", "ax[2].set_ylim(-5, 30)\n", "ax[2].set_title('Overfitting')\n", "\n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "Sf5-vkSaoLVN" }, "source": [ "ในกรณีที่เราเจอปัญหา underfitting วิธีแก้ปัญหาวิธีหนึ่งที่ได้รับความนิยมมากก็คือ การเลือกใช้โมเดลที่ซับซ้อนมากยิ่งขึ้น เช่น การเพิ่มจำนวนตัวแปรในโมเดล หรือในตัวอย่างนี้ก็คือการเพิ่ม order ของ polynomial\n", "\n", "ในกรณีที่เราเจอปัญญา overfitting เรามีวิธีบรรเทาปัญหานี้หลายวิธี เช่น\n", "\n", "1. การลดจำนวนตัวแปรในโมเดล (สำหรับ polynomial ก็คือการลด order)\n", "2. การใช้เทคนิค regularization\n", "\n", "\n", "\n", "\n", "\n", "\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "K5YfmlMgqO93" }, "source": [ "## Regularization\n", "\n", "\n", "\n", "[Slides: Polynomial Regression, Overfitting and Regularization 2](https://github.com/ichatnun/brainCodeCamp2023_lectures/blob/main/IntroToModeling/modeling_part2b_polynomial2.pdf)\n", "\n", "
\n", "\n", "ที่ผ่านมา เราหาค่า $\\hat{w}$ ที่เหมาะสมในโมเดล polynomial regression โดยการหาค่าต่ำสุดของ loss function ที่วัดความแตกต่างระหว่างค่าที่โมเดลทำนายออกมา ($\\hat{y_i}$) และค่าที่เรา observed มา ($y_i$) โดยการคำนวณ mean-squared error หรือ\n", "\n", "$$L(y, \\hat{y})\n", "= MSE(y,\\hat{y})\n", "=\\frac{1}{n}\\sum_{i=1}^{n}\\left(y_{i}-\\hat{y_i}\\right)^{2}\n", "=\\frac{1}{n}\\sum_{i=1}^{n}\\left(y_{i}-(\\hat{w_0} + \\hat{w_1}x_i + \\hat{w_2} x_i^2 + ... + \\hat{w_p} x_i^p)\\right)^{2}$$\n", "\n", "ซึ่งเราใช้ `PolynomialFeatures` ร่วมกับ `LinearRegression` ของ `scikit-learn` ในการหาค่า $\\hat{w}$ เหล่านั้น\n", "\n", "จากตัวอย่างที่เรากำหนดให้ $p=15$ ซึ่งเป็น polynomial ที่มี order = 15 หรือมีตัวแปรทั้งหมด 16 ตัว ($\\hat{w_0}, \\hat{w_1}, ..., \\hat{w_{15}}$) เราพบปัญหา overfitting\n", "\n", "ในตัวอย่างนี้เราจะลองใช้เทคนิค regularization ทดลองดูว่าเราจะสามารถบรรเทาปัญหา overfitting ที่พบเจอได้หรือไม่\n", "\n", "

\n", "\n", "ในรูปแบบมาตรฐานของการใช้เทคนิค regularization เราจะเปลี่ยนหน้าตาของ loss function ไปจากเดิม โดยการเพิ่มพจน์ (term) เข้าไป เช่น การเปลี่ยน loss function ไปเป็น $L(y, \\hat{y}) =\\frac{1}{n}\\sum_{i=1}^{n}\\left(y_{i}-(\\hat{w_0} + \\hat{w_1}x_i + \\hat{w_2} x_i^2 + ... + \\hat{w_{15}} x_i^{15})\\right)^{2} +λ R(\\mathbf{\\hat{w}})$\n", "\n", "ในที่นี้เราใช้ $\\mathbf{\\hat{w}}$ เพื่ออ้างอิงถึง $\\hat{w_0}, \\hat{w_1}, ..., \\hat{w_{15}}$ พร้อมกัน\n", "\n", "เราเรียก $R(\\mathbf{\\hat{w}})$ ว่าเป็น regularization term ซึ่ง regularization ที่เราจะเห็นได้บ่อยที่สุด ประกอบด้วย\n", "\n", "\n", "* $R(\\mathbf{\\hat{w}})=\\|\\mathbf{\\hat{w}}\\|^2_2 = \\hat{w_0}^2 + \\hat{w_1}^2 + ... + \\hat{w_{15}}^2$ ซึ่งมีชื่อเรียกว่า L2 regularization หรือ Tikhonov regularization\n", "\n", "* $R(\\mathbf{\\hat{w}})=\\|\\mathbf{\\hat{w}}\\|_1 = |\\hat{w_0}| + |\\hat{w_1}| + ... + |\\hat{w_{15}}|$ หรือ L1 regularization\n", "\n", "

\n", "ถ้าหากเราเพิ่ม L2 regularization term เข้าไป จะส่งผลให้โจทย์ที่เราต้องแก้เปลี่ยนหน้าตาไปเป็น\n", "\n", "\n", "$\\min_{\\mathbf{\\hat{w}}}\\frac{1}{n}\\sum_{i=1}^{n}\\left(y_{i}-(\\hat{w_0} + \\hat{w_1}x_i + \\hat{w_2} x_i^2 + ... + \\hat{w_{15}} x_i^{15})\\right)^{2} +λ (\\hat{w_0}^2 + \\hat{w_1}^2 + ... + \\hat{w_{15}}^2)$\n", "\n", "ซึ่งเราเรียกว่า Ridge regression\n", "\n", "ในการหาค่าต่ำสุดของฟังก์ชันอันใหม่นี้ เราต้องการให้ทั้ง term ที่ 1 และ term ที่ 2 มีค่าที่ต่ำ\n", "\n", "โดยที่มี $λ \\ge 0$ เป็นตัวเลขที่ใช้ balance ว่า เราจะให้ความสำคัญกับ term ที่ 1 หรือ term ที่ 2 มากกว่ากัน\n", "\n", "

\n", "ถ้าหากเราเพิ่ม L1 regularization term เข้าไป โจทย์ของเราจะเปลี่ยนไปเป็น\n", "\n", "$\\min_{\\mathbf{\\hat{w}}}\\frac{1}{n}\\sum_{i=1}^{n}\\left(y_{i}-(\\hat{w_0} + \\hat{w_1}x_i + \\hat{w_2} x_i^2 + ... + \\hat{w_{15}} x_i^{15})\\right)^{2} +λ (\\hat{|w_0|} + \\hat{|w_1|} + ... + \\hat{|w_{15}}|)$\n", "\n", "ซึ่งเราจะเรียกว่า Least Absolute Shrinkage and Selection Operator (LASSO) โดยเราสามารถใช้ $λ\\ge0$ เป็นตัวกำหนดความสำคัญของแต่ละ term ได้เช่นกัน\n", "\n", "\n", "---" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "viG4HWk7D-tH" }, "source": [ "**ตัวอย่าง**\n", "สมมติเราใช้ L2 regularization โจทย์ของเราก็คือ\n", "\n", "$$\\min_{\\mathbf{\\hat{w}}}\\frac{1}{n}\\sum_{i=1}^{n}\\left(y_{i}-(\\hat{w_0} + \\hat{w_1}x_i + \\hat{w_2} x_i^2 + ... + \\hat{w_{15}} x_i^{15})\\right)^{2} +λ (\\hat{w_0}^2 + \\hat{w_1}^2 + ... + \\hat{w_{15}}^2)$$\n", "\n", "เรามาลองพิจารณาหลายๆ กรณีสุดโต่ง 2 กรณี\n", "\n", "\n", "1. หากกำหนดให้ $λ=0$ โจทย์ของเราจะกลายเป็น\n", "\n", "$$\\min_{\\mathbf{\\hat{w}}}\\frac{1}{n}\\sum_{i=1}^{n}\\left(y_{i}-(\\hat{w_0} + \\hat{w_1}x_i + \\hat{w_2} x_i^2 + ... + \\hat{w_{15}} x_i^{15})\\right)^{2} + 0 $$\n", "\n", "   เราจะได้ loss function ที่ไม่สนใจ regularization term หรือ term ที่ 2 เลย (ก็คือการแก้ปัญหาแบบไม่ใช้ regularization นั่นเอง)\n", "\n", "2. หากกำหนดให้ $λ=10^{10}$ ซึ่งมีค่าที่สูงมากๆ จะเห็นว่า term ที่ 2 จะมีน้ำหนักมากกว่า term ที่ 1 มาก ซึ่งจะส่งผลให้เกิดคำตอบ $\\mathbf{\\hat{w}}$ ที่มีค่าน้อย จนแทบจะมีค่าเป็น $0$ เพื่อให้พจน์ที่สอง มีค่าน้อยที่สุดเท่าที่เป็นไปได้ (ก็คือการแก้ปัญหาแบบแทบจะไม่ได้สนใจ term ที่ 1 เลย)\n", "\n", "ในทางปฏิบัติเราจะเลือกค่า $λ$ ที่เป็นจุดสมดุลที่ดีระหว่างทั้ง 2 terms\n", "\n", "เรามาลองใช้เทคนิค regularization กัน โดยการคัดลอกฟังก์ชัน `fit_and_predict_polynomial` มาปรับแก้แค่บรรทัดเดียว โดยการเปลี่ยนจะการเรียกใช้ `sklearn.linear_model.LinearRegression` ไปเป็น `sklearn.linear_model.Ridge`\n" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "id": "1c-19ZvXog04" }, "outputs": [], "source": [ "from sklearn.linear_model import Ridge\n", "\n", "# ฟังก์ชันสำหรับ fit โมเดล polynomial ที่มี order ที่กำหนด โดยใช้ L2 regularization และ ทำนายผลของโมเดลหลังจากถูกสอนด้วย training data แล้ว\n", "def fit_and_predict_polynomial_ridge(x_train, # ค่า x ที่ใช้เป็น input ของโมเดล (จาก training data)\n", " y_train, # ค่า y ที่ใช้เป็นเฉลยให้โมเดล (จาก training data)\n", " poly_order=4, # ค่า order ของ polynomial ที่เราใช้\n", " lambda_val = 0, # ค่า lambda ที่ใช้ balance ระหว่าง loss function เก่า (term ที่ 1) กับ regularization term (term ที่ 2)\n", " x_test_dict=None, # Python dictionary ที่ใช้เก็บชุดข้อมูลที่เราอยากจะนำมาทดสอบ โดยสามารถเลือกชุดข้อมูลผ่าน key ของ dictionary นี้\n", " y_test_dict=None): # Python dictionary ที่ใช้เก็บชุดข้อมูลที่ค่า y ที่เป็นเฉลยของข้อมูลที่นำมาทดสอบ โดยสามารถเลือกชุดข้อมูลผ่าน key ของ dictionary นี้\n", "\n", " # สร้างตัวแปรประเภท Python dictionary สำหรับเก็บค่า output ของฟังก์ชันนี้\n", " mse_dict = {} # ค่า mse\n", " out_x = {} # ค่า x ที่ใช้เป็น input ของโมเดล\n", " out_y_hat = {} # ค่า y ที่โมเดลตอบมา\n", " out_y = {} # ค่า y ที่เป็นเฉลย\n", "\n", " # สร้างโมเดลสำหรับแปลงจาก x เป็น z\n", " extract_poly_feat = PolynomialFeatures(degree=poly_order, include_bias=True)\n", "\n", " # แปลงจากค่า x ให้กลายเป็น z\n", " z_train = extract_poly_feat.fit_transform(x_train)\n", "\n", " ########### เราจะแก้แค่บรรทัดนี้โดยเปลี่ยนจาก LinearRegression มาเป็น Ridge() ###########\n", " # สร้างโมเดล y = w_0 + w_1*z + w_2 * z^2 + ... ที่มี L2 regularization\n", " model_poly = Ridge(alpha=lambda_val*x_train.shape[0])\n", "\n", " # สอนโมเดลจาก training data ที่ input ถูก transfrom จาก x มาเป็น z แล้ว\n", " model_poly.fit(z_train, y_train)\n", "\n", " # ทดสอบโมเดลบน training data\n", " y_hat_train = model_poly.predict(z_train)\n", "\n", " # ถ้าเกิดว่า user ไม่ได้ให้ test data มา จะใช้ training data เป็น test data\n", " if x_test_dict is None:\n", " x_test_dict = {}\n", " y_test_dict = {}\n", "\n", " # เพิ่ม training data เข้าไปใน test_dict เพื่อที่จะใช้เป็นหนึ่งในข้อมูลสำหรับที่จะให้โมเดลลองทำนาย\n", " x_test_dict['train'] = x_train\n", " y_test_dict['train'] = y_train\n", "\n", " # ทดสอบโมเดลบนข้อมูลแต่ละชุดข้อมูล (แต่ละชุดข้อมูลถูกเลือกจาก key ของ dictionary)\n", " for curr_mode in x_test_dict.keys():\n", "\n", " # แปลงค่า x ให้เป็น z เหมือนขั้นตอนด้านบนที่เรา fit โมเดล\n", " z_test = extract_poly_feat.fit_transform(x_test_dict[curr_mode])\n", "\n", " # ทำนายค่า y โดยใช้โมเดล\n", " y_hat_test = model_poly.predict(z_test)\n", "\n", " # คำนวณค่า mse บน test data\n", " mse_dict[curr_mode] = mse(y_test_dict[curr_mode], y_hat_test)\n", "\n", " # เตรียมข้อมูลเป็น output ของฟังก์ชันนี้ เผื่อเรียกใช้ภายหลัง เช่น การนำเอาข้อมูลไป plot\n", " out_x[curr_mode] = x_test_dict[curr_mode] # เก็บค่า x ที่นำมาทดสอบ\n", " out_y_hat[curr_mode] = y_hat_test # เก็บค่า y ที่โมเดลทำนายออกมา\n", " out_y[curr_mode] = y_test_dict[curr_mode] # เก็บค่า y ที่เป็นผลเฉลย\n", "\n", " return out_x, out_y_hat, out_y, mse_dict, model_poly.coef_[0]\n" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "1CrBQ7I5IPvN" }, "source": [ "ทดลอง fit โมเดล polynomial ที่มี order = 15 (ซึ่งเป็นโมเดลที่มีปัญหา overfitting) โดยใช้ $λ$ ค่าต่างๆ" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "colab": { "base_uri": "https://localhost:8080/", "height": 721 }, "id": "VuuHwQvMIN72", "outputId": "65c57b7b-fe51-4b58-e99e-8f23cfec9551" }, "outputs": [ { "data": { "image/png": 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GGOcX/G+99ZZp0KCBCQgIMO+//75zHbZ27VrzxBNPmAoVKpjw8HDz0EMPmaSkJHP69Glz3333mYiICBMREWGGDRvm/Ie4qDRr1sw0a9Ys0/CbbrrJ1KxZM8dp4+LiTEBAgBk2bJjL8KSkJFO6dGnTr18/57D0zZ74+Hhz8eLFAs9zxIgRWYZWx9FtuQXLjz76yEgyH330UZaPu7suHDdunKlatapJSEig2ZNPbO+tkdvfuLvrh08++cRIMp988onLeN9//72RZBYtWuR188zKsGHDjL+/v8s/T8YYM2nSJCPJ7N+/P8fpM3L83We8Ob5Ecfwdrl271jRr1szY7XZTvXp18+abb2aa1+nTp82gQYNMlSpVTGBgoKlZs6Z5/vnnc/3HtHPnzqZ69epZPnbttdeaJk2aOH//z3/+Y9q1a2ciIyNNYGCgqV+/vnnllVcyTZfxi5Psvpx0bBcyfmmU30xhjDHHjh0zDzzwgKlYsaKx2+2mYcOGZsGCBZmeM+Mtuy9OsxrX8QWCI2fs3LnT9OnTx4SHh5uwsDDTt29fc/78+UzzWrRokbn66qtNUFCQKVu2rOnRo4dbfzOO5/ntt99Mz549TUREhGnUqFGe5+tYHwYFBZlmzZqZb775xq0vuXJ6DYxxL9vmlPcc/xPs27fPdO7c2YSGhpro6Gjzf//3f8YYY3799VfTrl07ExISYqpWrWoWL16c62vmSXnJJVmxel1m5TwzKq7NHvKF55EvinaeWSGzkFnILGQWBzJL4a9zM+KaPQUUHx+v119/XW3bttULL7ygsWPH6sSJE+rYsaM2b96cafzFixfrlVde0RNPPKEhQ4ZozZo16t69u5555hl9/vnnGjFihB566CGtWLFCQ4cOzTT9zp071aNHD918882aPHmyAgIC1K1bN5dznx49elTt2rXT5s2bNXLkSA0ePFgLFy7Uiy++mGl+CxYsUOnSpfXUU0/pxRdfVJMmTfTcc89p5MiRuS77xYsX9ddff7l1S01NzdsLW0CRkZGaM2eOJOn222/XokWLtGjRIt1xxx3OcVJSUtSxY0eVL19e06ZNU5s2bTR9+nS9+uqrLvN6+OGHNWzYMF133XV68cUXdf/992vx4sXq2LGjLl68mG0N3bt3l81m0zvvvJPpsXfeeUc33XSTypYtK0latmyZEhIS9Oijj+rll19Wx44d9fLLL6t3796eeDkkSceOHdO1116rL7/8Uo8//rhefPFF1apVS/369XPrmjH9+/fXc889p6uvvlozZ85UmzZtNHnyZN19993OcRYtWqRWrVrJbrc7X/PWrVtnOb/Ro0erUaNGqlChgnPcjHU8//zzev/99zV06FCNGjVK69atU69evVzG+frrr9W6dWvFx8drzJgxmjRpks6cOaMbbrhBP/74o1uvzYQJE/TJJ59o6NChmjRpkgIDA92e76ZNm9SpUyedPHlS48aNU79+/TR+/Hi3ztOa02uQmpqqLl26aNq0abr11lv18ssvq2vXrpo5c6Z69OiRaV5ff/21nnzySfXo0UMvvviiqlWr5nzsiSee0M6dOzVu3Dh16dJFr776qp599lndeuutSklJ0aRJk3T99ddr6tSpWrRoUa51nzt3zq3PfVxcXI7zSU1N1a+//qqmTZtmeuyaa67R7t27dfbs2Wyn37Jliy5dupRp+sDAQDVq1EibNm3KNM3999+vsLAwBQUFqV27dpnOoZ6XeTouptmvXz9t3rxZBw4c0NKlSzVnzhwNHDhQoaGhOS7/0aNHJUkVKlTIcbyc7N+/X88//7xeeOEFBQcH53s+yB3b+6Ld3udl/eD4XGYct0mTJvLz83M+7i3zzM6mTZtUp04dhYWFZXoeSVn+HeakdevWGjhwoCTp6aefdm6H6tev7xxn165duuuuu9ShQwdNnz5dZcuWVd++ffXbb785x0lISFCbNm301ltvqXfv3nrppZd03XXXadSoUXrqqadyrKFHjx7as2ePfvrpJ5fh+/bt07p161wyxpw5cxQbG6unn35a06dPV0xMjB577DHNnj07T8udk4JkisTERLVt21aLFi1Sr169NHXqVIWHh6tv377Oz2T9+vW1aNEiVahQQY0aNXK+5pGRkVnOc9GiRbLb7WrVqpVz3IcffthlnO7du+vs2bOaPHmyunfvrgULFmjcuHEu40ycOFG9e/dW7dq1NWPGDA0ePFhfffWVWrdurTNnzrj12nTr1k0JCQmaNGmSHnzwwTzNd86cOXr88cdVpUoVTZkyRa1atVLXrl118ODBXJ83p9cgr9k2q7wnpf1PcPPNNysmJkZTpkxRtWrV9Pjjj2vBggXq1KmTmjZtqhdeeEFlypRR7969tWfPnlzrPn36tFvrzPTX+MtKfrJOer62fixodiyOyBfkC2+eZ3bILGQWMguZxYHMUvjr3Ezy1BoqYdzZE+fSpUuZrk1y+vRpc9lll5kHHnjAOcyxJ05kZKQ5c+aMc/ioUaOMJHPVVVe57Gnes2dPExgY6LIHf2xsrJHksudNXFycqVSpkmncuLFz2ODBg40ks379euew48ePm/Dw8Eyd+IxHjhhjzMMPP2xCQkIyHT2QUXad/qxueTnUu6hO4ybJjB8/3mV448aNXfbIWLt2rZGUqSP++eefZzk8oxYtWrjMzxhjfvzxRyPJLFy40Dksq/dh8uTJxmazmX379jmHFeTInn79+plKlSplOi/k3XffbcLDw7OswWHz5s1Gkunfv7/L8KFDhxpJLnue5eUUebmdxq1+/foun68XX3zRSDJbtmwxxhiTmppqateubTp27OhyREpCQoKpXr266dChQ47P73ieGjVquCx/XuZ76623mpCQEHPo0CHnsJ07d5qAgADjzio2u9dg0aJFxs/PL9M5jR3n8fzuu++cwyQZPz8/89tvv7mM61iHZVyOFi1aGJvNZh555BHnsEuXLpkqVaq4dRi54/OT2y23eTk+oxk/h8YYM3v2bCPJbN++PdvpHYfyf/PNN5ke69atm4mKinL+/t1335k777zTvPHGG+bDDz80kydPNuXLlzdBQUFm48aN+ZqnMcZMmDDBBAcHuyz36NGjc1xuY9L2bmnQoIGpXr16tkcZubMuvOuuu0zLli2dv0sc2ZMfbO+L3/Y+L+uHAQMGGH9//yyfIzIy0tx9991eNc/sXH755eaGG27INPy3334zkszcuXNznD4ruZ0SJeP68Pjx48Zut5shQ4Y4h02YMMGEhoaaP/74w2X6kSNHGn9//xz3xIyLi8s0P2OMmTJlSqYMlNXfcMeOHU2NGjVchuV3L9mCZopZs2YZSeatt95yDktOTjYtWrQwpUuXNvHx8c7heTndTG6nREm//jHGmNtvv92UL1/e+fvevXuNv7+/mThxost4W7ZsMQEBAZmGZ/c8PXv2dBnu7nyTkpJM+fLlTbNmzVzWfQsWLHArKxiT/WvgbrbNLu8Z80+mmTRpknPY6dOnTXBwsLHZbObtt992Dt++fbvb/6M4Pj+53XKbV15zSUa+tn4sSHYsrkf2kC/IF948z+yQWcgs6ZFZyCxkFs/M010BQoH4+/vL399fUlrX7syZM0pNTVXTpk21cePGTON369ZN4eHhzt+bN28uSbr33nsVEBDgMnzJkiU6dOiQatSo4RweHR2t22+/3fl7WFiYevfurRdeeEFHjx5VVFSUPv30U1177bXOvSaktCNdevXqpVdeecWlnvR7gp89e1ZJSUlq1aqV5s2bp+3bt+uqq67Kdtmvuuoqlz2AchIVFeXWeEXtkUcecfnd0YF3WLZsmcLDw9WhQwf99ddfzuFNmjRR6dKltWrVKt1zzz3Zzr9Hjx4aPHiwdu/erZo1a0qSli5dKrvdrttuu805Xvr34fz580pMTFTLli1ljNGmTZtUtWrVAi2nMUbvvfeeunfvLmOMy7J07NhRb7/9tjZu3Kjrrrsuy+k//fRTScq0t8uQIUM0bdo0ffLJJ2rXrl2BaszK/fff79yDQUp7fyTpzz//1BVXXKHNmzdr586deuaZZ3Ty5EmXaW+88UYtWrRIqamp8vPL+SDGPn36uLwH7s7XGKMvv/xSt99+u6Kjo53j1KpVSzfffLNWrFiR72VftmyZ6tevr3r16rm8XzfccIMkadWqVWrZsqVzeJs2bdSgQYMs59WvXz/ZbDbn782bN9cPP/ygfv36OYf5+/uradOm2rBhQ661DR8+XPfee2+u4zmOXMtOYmKiJMlut2d6LCgoyGWc/EyfftqWLVu6vF5dunTRXXfdpYYNG2rUqFH6/PPP8zxPSapWrZpat26tO++8U+XLl9cnn3yiSZMmKSoqSo8//ni2tT/++OPatm2bPvnkE5d1f16sWrVK7733ntavX5+v6ZE3bO+Ldnufl/VDYmKiy7Yi47jpx/OGeWYnMTEx3+vL/GrQoIFz2yul/X3VrVtXf/75p3PYsmXL1KpVK5UtW9Zle9W+fXs9//zz+uabbzIdlesQFhamm2++We+8846mTp3q3FYtXbpU1157rUv+Sf83HBcXp4sXL6pNmzb64osvFBcX5/J5y4+CZopPP/1UUVFR6tmzp3NYqVKlNHDgQPXs2VNr1qzRv/71rwLVmJWssuz777+v+Ph4hYWFafny5UpNTVX37t1d3p+oqCjVrl1bq1at0tNPP53n53F3vj///LNOnjzpPILAoVevXnryySfzu9j5yrYZ8156/fv3d/4cERGhunXrateuXerevbtzeN26dRUREeHy95+dxYsXu/WZTL/ez0pec0lW0/vS+rGg2bE4Il+QL7x5ntkhs5BZskJmIbPkNr0vrR+Lcp2bEc0eD3jzzTc1ffp0bd++3eW0XtWrV880bsYv7R0r+ZiYmCyHnz592mV4rVq1XL60laQ6depIkvbu3auoqCjt27fPGfrSq1u3bqZhv/32m5555hl9/fXXio+Pd3kst1MwlS1bVu3bt89xnOIsKCgo0yGoZcuWdXnNd+7cqbi4OFWsWDHLeRw/fjzH5+jWrZueeuopLV26VE8//bSMMVq2bJluvvlml0Oa9+/fr+eee04fffRRpvc8t/fBHSdOnNCZM2f06quvZjpNnTvLsm/fPvn5+alWrVouw6OiohQREaF9+/YVuMasZPy8OJoHjtdo586dktI2hNmJi4vLtemQ8bPq7nwvXLigxMTETK+LpCyH5cXOnTv1+++/Z3uYdMb3K6v1jUNe1jsZ//6y0qBBg2wbS3nhCC9JSUmZHrtw4YLLOPmZPrfTmtWqVUu33Xabli9frpSUFPn7++dpnm+//bYeeugh/fHHH6pSpYok6Y477lBqaqpGjBihnj17qnz58pnmM3XqVL322muaMGGCbrnllhxrzM6lS5c0cOBA3XfffWrWrFm+5oG8Y3tfdPKyfggODlZycnKW80n/ufWWeWYnODg43+vL/MpqZ5OsstKvv/7q9vYqox49euiDDz7QDz/8oJYtW2r37t3asGFDplNafPfddxozZox++OGHTKeR8MQXJwXNFPv27VPt2rUzfbHiOMWMFVkpLCxMO3fulDFGtWvXznL6UqVKufU8WWUld+brWO6MuSggIMDllLN5lZ9sm11Wyup/gvDwcFWpUiXTetjdrJTdDlR5VdCs42vrx4Jmx+KKfFF0rP679LV5ZofMQmbJCpmFzJLb9L60fizKdW5GNHsK6K233lLfvn3VtWtXDRs2TBUrVpS/v78mT56s3bt3ZxrfsdeOu8ONMR6tN70zZ86oTZs2CgsL0/jx41WzZk0FBQVp48aNGjFiRK7nxU1OTtapU6fceq7IyMhsl9Eq7tSTmpqqihUravHixVk+nl1IcIiOjlarVq30zjvv6Omnn9a6deu0f/9+vfDCC85xUlJS1KFDB506dUojRoxQvXr1FBoaqkOHDqlv3745vg8ZV+bp55lxOaS0Pb6yCwQNGzbMcVlyer7CktvnwrFcU6dOVaNGjbIct3Tp0rk+T8YVp7vzdaygC0NqaqquvPJKzZgxI8vHM/5Dl9PKPy/rHXfWOXFxcW7tWRAYGKhy5cpl+3i5cuVkt9t15MiRTI85hqU/YiqjSpUquYybcfqcpnWIiYlRcnKyzp8/r7CwsDzN85VXXlHjxo2djR6HLl26aMGCBdq0aVOmf2AXLFigESNG6JFHHtEzzzyTa33ZWbhwoXbs2KF58+Zp7969Lo+dPXtWe/fuVcWKFRUSEpLv54ArtvdFu73Py/qhUqVKSklJ0fHjx112zkhOTtbJkyed43nLPLNTqVIlHTp0KNfn8SR3/l5TU1PVoUMHDR8+PMtxHV8iZufWW29VSEiI3nnnHbVs2VLvvPOO/Pz81K1bN+c4u3fv1o033qh69eppxowZiomJUWBgoD799FPNnDnTo1mpoJmiqLmTlWw2mz777LMsx3V3mbLKSp6Yb37lJ9tml5UKY3194sSJTH9jWSldunSOr1VBs46vrR8Lmh2LI/IF+cKb55kdMguZJStkFjJLTnxt/ViU69yMaPYU0LvvvqsaNWpo+fLlLivmMWPGFMrz7dq1S8YYl+f6448/JMnZaY6NjXV2+tPbsWOHy++rV6/WyZMntXz5crVu3do53J0LeEnS999/7/apu/bs2VOgTnh+eKIxUbNmTX355Ze67rrr8r33SY8ePfTYY49px44dWrp0qUJCQnTrrbc6H9+yZYv++OMPvfnmm+rdu7dzuDuHtDv2hMh4obqMe2JERkaqTJkySklJydfeU7GxsUpNTdXOnTtdLoJ47NgxnTlzRrGxsXmep1Tw98hxarywsDCP7hXm7nwrVqyooKAg7dq1K9NjWQ3LSnavQc2aNfXLL7/oxhtvLPImW24GDRqkN998M9fx2rRpo9WrV2f7uJ+fn6688kr9/PPPmR5bv369atSooTJlymQ7/RVXXKGAgAD9/PPPLocsJycna/PmzS7DsvPnn38qKCjIGVryMs9jx45lubeUY4/MS5cuuQz/8MMP1b9/f91xxx0Fvjjn/v37dfHixSz3wlm4cKEWLlyo999/X127di3Q8+AfbO+Ldnufl/WD45/cn3/+2eVouZ9//lmpqanOx71lntlp1KiRVq1a5TzVRfrnST//vPBUVjp37ly+t8OhoaH617/+pWXLlmnGjBlaunSpWrVq5fJPzYoVK5SUlKSPPvrIZa/QVatW5Tp/d7NSQTNFbGysfv3110ynTdm+fbvz8fzwRFYyxqh69eq5folVGPN1LPeuXbtc1iOXLl3S3r17872zUUGzbWFr1qyZW3tGjxkzRmPHjs328YJmHV9bPxY0OxZH5AvyhTfPMztkFjJLfpBZrEFm8Z55uivnC1kgV47uafpu6fr16/XDDz8UyvMdPnxY77//vvP3+Ph4LVy4UI0aNXKex/aWW27RunXr9OOPPzrHO3HiRKajU7KqPTk5OdN5eLPjOMeuOzcrrtnj2KM944YyL7p3766UlBRNmDAh02OXLl1ya9533nmn/P39tWTJEi1btkz/+te/FBoa6nw8q/fBGKMXX3wx13mHhYWpQoUK+uabb1yGZ3wP/f39deedd+q9997T1q1bM83nxIkTOT6PY2WT8fBkx1EnnTt3zrXWrISGhhboNHVNmjRRzZo1NW3aNJ07dy7T47ktV0Hn6+/vr/bt2+uDDz7Q4cOHnY/v2rVLn332mVvPld1r0L17dx06dEivvfZapscSExN1/vx5dxfH44YPH+7W53769Om5zuuuu+7STz/95LIB3LFjh77++muXPaSktPC5f/9+5+/h4eFq37693nrrLZ09e9Y5fNGiRTp37pzL9Fn9Lfzyyy/66KOPdNNNNzlDbl7mWadOHW3atMn5D7LDkiVL5Ofn5xIGv/nmG919991q3bq1Fi9enOt1pHJz99136/333890k9I+r++//36Wp99A/rG9L/rtvbvrhxtuuEHlypXTnDlzXKafM2eOQkJCXLZR3jLPv/76S9u3b3c59cddd92llJQUl9M/JCUlaf78+WrevHmmIz7d4cgjBc1KP/zwg7744otMj505cyZT4zsrPXr00OHDh/X666/rl19+UY8ePVwez+pvOC4uTvPnz8913o4vRNJnpYyvo1TwTHHLLbfo6NGjWrp0qXPYpUuX9PLLL6t06dJq06ZNrrVmJTQ0tEDvzx133CF/f3+NGzcu096dxphM5/r39HybNm2q8uXL67XXXnP5W1i8eLFbpxaRsn4NCpptC9vixYvdWmem39ErK3nJJQkJCdq+fXumaz362voxL9nRG5AvyBfePk8yC5nFgcxCZiGzFP483WKQrfnz5xtJ5tFHHzUTJkzIdIuPjzf/+c9/jCTTpUsXM2/ePDNy5EgTERFhLr/8chMbG+uc1549e4wkM3XqVJfnWLVqlZFkli1bluVz//TTT85hsbGxpk6dOiYiIsKMHDnSzJw501x55ZXGz8/PfP75587xDh8+bMqXL2/Kli1rxo4da6ZOnWpq165tGjZsaCSZPXv2GGOM+euvv0zZsmVNbGysmT59upkxY4Zp3Lixueqqq4wks2rVKo+/pjlZuHChmTBhghk1apSRZNq1a+d8rffu3escz/GajRkzJtd5NmjQwERFRZnZs2ebJUuWmC1bthhjjOnTp48JDQ3NNP6YMWNMxo/Fww8/bCSZm2++2cycOdP83//9nxk0aJCJjo7O9L5lp3379qZMmTJGknnvvfdcHktOTjY1a9Y0FSpUMBMnTjQvv/yyadu2rfN9mD9/fo71jRw50kgy/fr1M3PmzDE9e/Y0TZo0yfQaHT161MTGxpqQkBAzaNAgM2/ePDN58mTTrVs3U7Zs2VyXoU+fPkaS6d69u5k9e7bz965du2YaL6vXNitTpkwxksyTTz5p/vvf/5qPPvrIGJP958LxOUr/mqxatcoEBQWZqlWrmjFjxphXX33VjBkzxrRu3dr861//yvH5s3uevMz3559/NoGBgaZatWrmhRdeMJMmTTLR0dGmUaNGmd6rvLwGKSkp5pZbbjE2m83cfffd5uWXXzazZs0yjzzyiClXrpzLukGSGTBgQKZ5Z7UeMeafv6MTJ064DM/Le+cp8fHxpmbNmqZixYpmypQpZubMmSYmJsZER0eb48ePu4wrybRp08Zl2IYNG4zdbjeNGzc2c+bMMaNHjzZBQUHmpptuchmvXbt25pZbbjH//ve/zauvvmoGDx5sQkJCTHh4uNm2bVu+5rlmzRrj7+9vKlasaMaPH29mz55tbr75ZiPJ9O/f3zne3r17TXh4uAkODjazZ882ixYtcrn98ssvLvN1d12Ylez+FpAztverPP6a5sTdv/G8rB9mz55tJJm77rrLvPbaa6Z3795Gkpk4caLLeN4yT8d6OuN7061bNxMQEGCGDRtm5s2bZ1q2bGkCAgLMmjVr3Jo+oyNHjhh/f39z7bXXmgULFpglS5aYY8eOGWPS/g47d+6caZo2bdq4rIvPnz9vrr76ahMQEGD69+9v5syZY6ZNm+bcpmTc1mQlMTHRlClTxpQpU8b4+/s7a3DYvn27CQwMNFdeeaX5v//7P/P888+bmjVrOv+GHX/rWdVnjDHXXnutCQkJMWPGjDEvvviiadGihTMrpX+NCpIpEhISTP369U1gYKAZMmSIefnll02bNm2MJDNr1iyXcbN7bbNyyy23mNDQUDN9+nSzZMkSs27dOmNM9ttyxzol/WsyefJkI8m0bNnSTJkyxcyZM8cMHz7c1K5dO9O6KqPsnicv83355ZeNJNOqVSvz8ssvmyFDhpjy5cubmjVrmrZt2+b7NXA32+aU97LLPm3atDGXX355puF5ee88xd1ckt3/SL62fszLPD/66CPn9iUwMNA0btzY+XvG/FUYyBerPP6a5oR8QWbJiMySNTILmaWwkFkKf57uoNmTA8eKJ7vbgQMHTGpqqpk0aZKJjY11/kF//PHHpk+fPoUSzjp37my++OIL07BhQ2O32029evWyXAn8+uuvpk2bNiYoKMhUrlzZTJgwwbzxxhuZVqTfffedufbaa01wcLCJjo42w4cPN1988YUl4cyxccnqlr6WFStWGElm7ty5uc7z+++/N02aNDGBgYEuK5K8NHuMMebVV181TZo0McHBwaZMmTLmyiuvNMOHDzeHDx92a9lee+01I8mUKVPGJCYmZnp827Ztpn379qZ06dKmQoUK5sEHHzS//PKLW82ehIQE069fPxMeHm7KlCljunfvbo4fP57livPYsWNmwIABJiYmxpQqVcpERUWZG2+80bz66qu5LsPFixfNuHHjTPXq1U2pUqVMTEyMGTVqlLlw4YLLeHlpGJw7d87cc889JiIiwkhyfmby0uwxxphNmzaZO+64w5QvX97Y7XYTGxtrunfvbr766qscnz+nDWle5vvVV1+Zxo0bm8DAQFOzZk3z+uuvmyFDhpigoKB8vwbGpDUCX3jhBXP55Zcbu91uypYta5o0aWLGjRtn4uLinON5c7PHGGMOHDhg7rrrLhMWFmZKly5t/vWvf5mdO3dmGi+rZo8xxqxdu9a0bNnSBAUFmcjISDNgwAATHx/vMs6LL75orrnmGlOuXDkTEBBgKlWqZO69994sn8fdeRpjzPr1683NN99soqKiTKlSpUydOnXMxIkTzcWLF53jOP7Osrtl/Jy6uy7MCs2e/GF7v8ojr6O78vI37u76wZi0bXXdunWd6+KZM2ea1NTUTON5wzyz++IjMTHRDB061ERFRRm73W6aNWvm8gWdw5AhQ4zNZjO///57ljWk99prr5kaNWoYf39/l+d094sTY4w5e/asGTVqlKlVq5YJDAw0FSpUMC1btjTTpk0zycnJudZgjDG9evUykkz79u2zfPyjjz4yDRs2NEFBQc4dLBxfkub2xcnu3btN+/btjd1uN5dddpl5+umnzcqVK7N8jfObKYxJy1n333+/qVChgvOLnoyZxZi8/fO9fft207p1axMcHGwkmT59+hhj8vbFiTHGvPfee+b66683oaGhJjQ01NSrV88MGDDA7NixI8fnz+mLk7zM96WXXnKuP6+55hrz3XffmSZNmphOnTrl+zUwxr1s6+1fnBjjXi7JaYc4X1o/5mWejp3Tsrpl9dn0NPLFKo+8ju4iX5BZMiKzZI/MQmYpLGSWwp9nbmzGFOIV+4BCMHz4cC1ZskS7du2S3W63uhwgS127dtVvv/2W5fmuAQAoTNdcc41iY2O1bNkyq0sBspSamqrIyEjdcccdWZ6yFgBQMpBZUNyRWeBtAqwuAMirVatW6dlnn6XRg2IjMTFRwcHBzt937typTz/9VH369LGwKgBASRQfH69ffvlFb775ptWlAJKkCxcuyG63u1y0eOHChTp16pTatm1rXWEAAEuRWVDckFngCziyBwAKqFKlSurbt69q1Kihffv2ac6cOUpKStKmTZtUu3Ztq8sDAACwzOrVq/Xkk0+qW7duKl++vDZu3Kg33nhD9evX14YNGxQYGGh1iQAAAGQW+ASO7AGAAurUqZOWLFmio0ePym63q0WLFpo0aRKNHgAAUOJVq1ZNMTExeumll3Tq1CmVK1dOvXv31vPPP8+XJgAAoNggs8AXeM2RPWPHjtW4ceNchtWtW1fbt2+3qCIAAFCSkEUAAICVyCIAACAnXnVkz+WXX64vv/zS+XtAgFeVDwAAvBxZBAAAWIksAgAAsuNVqSAgIEBRUVFWlwEAAEoosggAALASWQQAAGTHq5o9O3fuVHR0tIKCgtSiRQtNnjxZVatWzXb8pKQkJSUlOX9PTU3VqVOnVL58edlstqIoGQCAYs8Yo7Nnzyo6Olp+fn5Wl1OskUUAAPA8soj7yCIAAHier2QRr7lmz2effaZz586pbt26OnLkiMaNG6dDhw5p69atKlOmTJbTZHU+WwAAkLUDBw6oSpUqVpdRbJFFAAAoXGSRnJFFAAAoXN6eRbym2ZPRmTNnFBsbqxkzZqhfv35ZjpNxD5a4uDhVrVpVB269VWFvvVVUpQIA4HnLlkn9+0utW0srVhRoVvHx8YqJidGZM2cUHh7uoQJ9X4GyyIEDCgsLK6pSAQAoehcvShUqpP38559S+fLZjkoWyR+yCAAAnuErWcSrTuOWXkREhOrUqaNdu3ZlO47dbpfdbs80POzCBUINAMC7paam3YeHSx7apnEqj7wpUBYJCyOLAAB827Fjafc2m1S1quTvn+skZJG8IYsAAOBZ3p5FvPYEdOfOndPu3btVqVKlvE98/rznCwIAoCg5tmWlS1tbRwlWoCwCAICv++uvtPty5dxq9CDvyCIAACA9r2n2DB06VGvWrNHevXv1/fff6/bbb5e/v7969uyZ95mdO+f5AgEAKEqObRnNniLj0SwCAICvczR7HKdyQ4GRRQAAQE685jRuBw8eVM+ePXXy5ElFRkbq+uuv17p16xQZGZn3mdHsAQB4O8eRPaGh1tZRgng0iwAA4OtOnEi7ZzvpMWQRAACQE69p9rz99tuemxnNHgCAt+PIniLn0SwCAICv48gejyOLAACAnHjNadw8imv2AAC8naPZw5E9AACgOKLZAwAAUKRKbrMnNdXqKgAAyD/Hjgsc2QMAAIojmj0AAABFqmQ2eyQpIcHqCgAAyD9O4wYAAIozmj0AAABFquQ2e86etboCAADyz3FkD6dx804XL1pdAQAAhevEibT7yEhr6wAAACghSm6zx7FHNAAA3ogje7zbyZNWVwAAQOHiyB4AAIAiVXKbPRzZAwDwZhzZ490cezsDAOCraPYAAAAUqZLb7OHIHgCAN+PIHu9GswcA4Oto9gAAABQpmj0AAHgjmj3e7fhxqysAAKDwJCSk3SSaPQAAAEWk5DZ7OI0bAMBbGcNp3Lzd0aNWVwAAQOFxHNUTGCiVKWNtLQAAACVEyW32cGQPAMBbJSdLly6l/cyRPd7p2DGrKwAAoPCkP4WbzWZtLQAAACVEyW32cGQPAMBbOY7qkTiyx1txGjcAgC/jej0AAABFruQ2eziyBwDgrRzbMLtdCgiwthbkD0f2AAB8Gc0eAACAIldymz3x8VZXAABA/jiO7OEUbt6LZg8AwJc5mj2RkdbWAQAAUILQ7AEAwNs4juzhFG7ei9O4AQB82YkTafcc2QMAAFBkSm6zJy7O6goAAMgfxw4LYWHW1oH8O3NGSkqyugoAAAoHp3EDAAAocjR7AADwNjR7fAOncgMA+CrHEaycxg0AAKDI0OwBAMDb0OzxDUePWl0BAACFw7FDw2WXWVsHAABACUKzBwAAb0OzxzfQ7AEA+CqaPQAAAEWOZg8AAN6GZo9voNkDAPBVNHsAAACKHM0eAAC8Dc0e30CzBwDgixITpbNn036m2QMAAFBkSm6z5+xZKSXF6ioAAMg7mj2+gWYPAMAXHT+edh8YSFYBAAAoQiW32SP9s7cRAADehGaPb6DZAwDwRelP4WazWVsLAABACVIymz2BgWn3nMoNAOCNaPb4Bpo9AABfxPV6AAAALFEymz2OL8do9gAAvBHNHt9AswcA4Ito9gAAAFiCZg8AAN6GZo9vOHpUMsbqKgAA8CyaPQAAAJYomc2e8PC0e5o9AABv5Gj2lCljbR0omMRErh8IAPA9x4+n3dPsAQAAKFIls9nDkT0AAG/GkT3er3TptHtO5QYA8DUc2QMAAGAJmj0AAHgbmj3er2LFtPsjR6ytAwAAT6PZAwAAYAmaPQAAeJOkJCk5Oe1nmj3eKyoq7f7wYWvrAADA0xzNHseODQAAACgSNHsAAPAmjqN6JK7Z482io9PuafYAAHwNR/YAAABYomQ2e8LD0+5p9gAAvI2j2RMaKvn7W1sL8q9SpbT7Q4esrQMAAE+6eFE6dSrtZ5o9AAAARapkNns4sgcA4K24Xo9vcBzZQ7MHAOBLjh9Pu/f3l8qVs7YWAACAEoZmDwAA3oRmj2/gyB4AgC9yNHsqVpT8SubXDQAAAFYpmemLZg8AwFudPZt2T7PHu9HsAQD4Iq7XAwAAYJmS3exJf5FrAAC8AUf2+AZHs+fwYckYa2sBAMBTaPYAAABYpmQ3e86csbQMAADyjGaPb3A0e5KTpZMnra0FAABPcTR7Kla0tg4AAIASqGQ2eyIi0u5p9gAAvA3NHt8QGChFRqb9zKncAAC+giN7AAAALFMimz0p4WXTfjh7Vmu+vKiUFGvrAQDAbTR7fEJKinQ2vLIk6dfPDpFFAAC+gWaP10hJkVavlpYsSbsniwAA4P1KZLOn4fXhzp+7dTitatWk5cutqwcAALfFxaXdlyljbR0okCuukNbsSmv2vDzqEFkEAOAbjh5Nu4+KsrYO5OqKK6R27aR77km7J4sAAOD9SmSz5+ARf51WhCSpnE7p0CHprrsINgAAL3D6dNq945Sk8EqHD0uHlNbsqaxDZBEAgG84fDjtvnJla+tArhxvlQNZBAAA71cimz2SdErlJKU1e4xJGzZ4MIcuAwCKOUezp2xZa+tAgR1WtKS0Zg9ZBADgExwdhOhoa+tAnpFFAADwfl7b7Hn++edls9k0ePDgfE2fvtkjpQWbAwektWs9VSEAAIXA0ewpV87aOlDgLOI4sidaaV+MkUUAAF7t/Pl/TjdLs6dIFDSLZEQWAQDAu3lls+enn37SvHnz1LBhw3zPI2Ozx+HIkQKVBgBA4eLInmLBE1kk/Wnc0iOLAAC8kmMDVro01xYsAp7IItkhiwAA4J28rtlz7tw59erVS6+99prKFuCLruyaPZUqFag8AAAKF80ey3kqi2TX7CGLAAC8kuMUbmzICp2nskh2eAsBAPBOXtfsGTBggDp37qz27dvnOm5SUpLi4+Ndbg4Zmz02mxQTI7VqVTh1AwBQYMZ4vNlz8uRJXbx40SPzKik8lUUczZ5I/aVAJZFFAADeLZ/X6zl9+rSSkpIKoSDf5akskhFZBABQEsXHxyshIcHqMjzCq5o9b7/9tjZu3KjJkye7Nf7kyZMVHh7uvMXExPz9yG6XZo/NljZ01izJ39/zdQMA4BGJiVJyctrPHmr29O/fX82bN/fIvEoCz2WRLTqlcroguySp8t/X7SGLAAC8Vj6bPU8++aSaNm1aCAX5Js9lke9dxuN7EQBASfXss8+qcePGVpfhEV7T7Dlw4IAGDRqkxYsXKygoyK1pRo0apbi4OOftwIEDkqSgoPEuzZ4qVaR335XuuKPQygcAoOAcR/X4+3vkXPjffvutPvjgA/35558FnldJ4MksEhj4nCSb8+iexhUPkUUAAN4tH82eX375RQsXLtT+/fsLqSjf4sksUqrUM5KMczy+FwEAlES7du3SK6+8oqNHj1pdikd4TbNnw4YNOn78uK6++moFBAQoICBAa9as0UsvvaSAgAClpKRkmsZutyssLMzlJkkXLnyg5vemnb6tU7NT2rOHQAMA8AKOZk9ExD+7X+aTMUbDhg2TJPXp06eAhZUMnswiyclfa8qU/6lMvbRmz7KZB8kiAADvlo9mz4gRI2SM0R1sBN3iySxy8eIGjRnzrv77X2nVKvG9CACgRBo9erQuXbrk1qlRvYHXNHtuvPFGbdmyRZs3b3bemjZtql69emnz5s3yz+NxxrM3LpdR2pE9HKIMAPAKZ86k3XvgFG7vvfee1q1bp9DQUI0aNarA8ysJPJ1FFi8ervKNq0iS/A4dKIySAQAoOnls9qxcuVJffPGFSpUqpeeee64QC/Mdns4ib701Snfemay2bTl1GwCg5Fm/fr3eeecd2Ww2jRs3zupyPCLA6gLcVaZMGV1xxRUuw0JDQ1W+fPlMw3MTFBSkb7dt04eSup465cEqAQAoRI4jewrY7ElOTnY2eIYOHaqoqKiCVlYieDKLhIWF6ZdfftFbVaqojyRx+hoAgLfLQ7MnNTXVeYTxgAEDVL169cKszGd4MotERkZq9+7dmjt3rgYOHOjJMgEAKPbSn+2kb9++ed6OFldec2SPJw0YMECSNELSxZMnrS0GAAB3eajZ88Ybb2jXrl267LLLNGTIEA8UhrxyvO7PfP+9EiWaPQAA73fkSNq9G82et99+W7/88ovCw8P1zDPPFHJhyMrTTz8tSRo/frzi4uIsrgYAgKL16aefau3atQoKCtL48eOtLsdjvObInqysXr06X9MNHjxYb86fr1OnTmnHmTO6IiWFY5YBAMWfh5o99957rw4fPqwaNWqoTJkyio+P90BxJVN+s8gjjzyiN954Q/EnT+pXSc1p9gAAvNnZs9K5c2k/V6qU6+hdu3bVxIkTVaZMGZUvX54sUgD5zSK9e/fWvHnzdPDgQW3YsEE33HCDZwsDAKAYa9++vaZPn67k5GRVqVLFZ7KIVzd78issLEwfvf++Lm/TRmGSFBcnlStndVkAAOTMQ82eMmXKaMKECR4oCPkVFBSkd999VzWTk1Xu+us5sgcA4N0cp3ALD5dCQ3MdPSQkxHlkCawREBCgJUuWqFKlSrrsssusLgcAgCJlt9v11FNPWV2Gx5XIZo8ktWjdWipdOm3vo1OnaPYAAIq/AjZ7zp8/r5CQENlsNg8Whfxq1qyZ5Nh76NSptExSurS1RQEAkB9uXq8nISFBdrtd/pxZo1ho1KiR1SUAAFCkEhMTVapUKQUE+GZbpERes8epXDkZSe+++64OHjxodTUAAOSsgM2eRx99VNdee602bdrkwaJQIGFhMmFh+ljSzrVrra4GAID8cTR7cjmF24gRI9SkSRP98MMPRVAU8uLLL7/Uli1brC4DAIBCNXHiRF155ZVatWqV1aUUihLf7BksqduoURo9erTV1QAAkLMCNHt+/vlnLVq0SD/++KNSUlI8XBgKYkxQkG6VNIxT6wEAvJUbR/Zs375dc+bM0S+//KILFy4UUWFwx7Rp09ShQwcNHDhQxhirywEAoFAcOHBA06dP1/bt2xUXF2d1OYWiZDd7KlbUvX//uHDhQm3cuNHScgAAyFE+mz3GGA0ZMkSSdO+996pp06aergwF0LNePflL+vCHH7RmzRqrywEAIO/caPYMHz5cKSkpuvXWW9WuXbsiKgzu6Natm+x2u1avXq0VK1ZYXQ4AAIXi6aef1oULF9S6dWvddtttVpdTKEp8s6eZpHsaN5YkDRkyhL1YAADFVz6bPR9++KG++eYbBQUFadKkSYVQGAqi/uWX66G/f37qqaeUmppqaT0AAORZLs2eVatWacWKFfL399eUKVOKsDC4IzY2Vk8++aQkadiwYbp48aLFFQEA4Fk///yz3nrrLUnS9OnTffZaxiW72RMZKUmafM01CgoKYi8WAEDxlo9mT3JysoYPHy4prZEQExNTGJWhIKpW1VhJYaVKaePGjVq8eLHVFQEAkDeOa+Bm0exJSUnRU089JUl65JFHVK9evaKsDG4aNWqUIiMj9ccff2jevHlWlwMAgMeUpLOdlOxmT8WKkqSqFy6wFwsAoHgzRjp1Ku3nPDR75syZo507d6pixYoaOXJkIRWHAqlaVRUlPV2liqS0Q8sTEhKsrQkAgLw4cCDtvmrVTA8tWrRImzdvVnh4uMaMGVPEhcFdYWFhGj9+vCRp7NixOnPmjLUFAQDgIR988EGJOdsJzR5JOn5cI0eOVMWKFfXHH39o7ty51tYFAEBG585JSUlpP/99ZGpujDH65JNPJEkTJkxQmTJlCqs6FMTfX4wNSk1VbGysDh48qBkzZlhcFAAAbrp06Z/TuGVxBPHHH38sSRo9erQi3cwwsEb//v3VoEEDnTx5UhMnTrS6HAAAPMKRRYYMGeLzZzuh2SNJx48rLCxM48aNU8OGDXXFFVdYWxcAABmdOJF2HxwshYa6NYnNZtPnn3+uZcuW6YEHHijE4lAgfzd7gg4f1uSJE1W3bl01adLE4qIAAHDTkSNSSopUqpQUFZXp4WXLlmn58uV64oknLCgOeREQEKCpU6eqevXqatGihdXlAADgEa+//rpWrFihESNGWF1KobMZY4zVRRSV+Ph4hYeHKy4uTmFhYdKPP0rNm6ftfbR/v1JSUiRJ/v7+FlcKAEAG69dL116b1hjYt8+js860fUShyfK1vnRJstul1FSZgwd1qWJFlSpVytpCAQBw1/ffS9ddJ1WrJu3Zk69ZkEWKTm6vtTFGFy9eVGBgoAXVAQBgDV/JIhzZI0nHj0vGyN/fn0YPAKB4chzZ4+bpTxYvXqzz588XYkHwmIAAqXJlSZLtwAEaPQAA77J/f9p9htOivP3224qPj7egIBSEzWaj0QMA8AnvvvuuTjmufVxClOxmj+MLs6Qk6exZ5+DExERNmjRJPXv2tKgwAAAyyEOzZ+XKlbr33nt1xRVX6MKFC4VcGDzCcUHrv4/aSk5O1syZM9WlSxeVoIOwAQDe6MCBtHvHtkzS+vXr1bNnT9WtW1dxcXEWFYaCuHTpkubMmaObbrrJeRYUAAC8xW+//aa7775btWvX1tGjR60up8iU7GZPaOg/1z1wfIkm6cCBAxozZozefvtt/e9//7OoOAAA0nGz2XPp0iU99dRTkqTbbrtNQUFBhV0ZPKFatbT7vXslScePH9fo0aO1YsUKvfvuu5aVBQBArhzNnr+P7DHGaPDgwZKkTp06KTw83KLCUBBxcXF6+umntXLlSs2fP9/qcgAAcJsxRk899ZRSUlLUpk0bRWVxTUFfVbKbPZLrqdz+VqdOHefFI5988kldunTJisoAAPiHm82e1157TVu3blW5cuU0ZsyYIigMHlGjRtr9n39KkqpUqeK8eOSwYcM4QgsAUHw5TuP295E9S5Ys0bp16xQaGqpJkyZZWBgKonz58s4sOXr0aE7JBwDwGp9++qn+97//KTAwUFOnTrW6nCJFsyeLZo8kPfvssypfvry2bdumefPmWVAYAADpuNHsOXPmjJ599llJ0vjx41W2bNmiqAyeUL162n26C1sPGzZMVapU0b59+zRjxgyLCgMAIBfpjuxJSEhw7qzw9NNPq1KlShYWhoJ67LHHVKdOHR0/flwTJ060uhwAAHJ18eJF59lOBg8erJo1a1pcUdGi2ZNNs6ds2bIaP368JOm5557T6dOni7oyAAD+4UazZ8KECTp58qQaNGighx9+uIgKg0dkOLJHkkJCQvT8889LkiZNmqQjR45YURkAADlL1+yZNm2aDh48qNjYWD355JPW1oUCCwwM1PTp0yVJs2bN0u7duy2uCACAnL3yyiv6448/VLFiRY0ePdrqcooczZ5smj2S9NBDD+nyyy/XqVOnNHbs2KKtCwCA9HJp9uzYsUMvvfSSJGnmzJkKCAgoqsrgCY5mz759UrqLIN9zzz269tprdf78eY0aNcqi4gAAyEZiojOjHPDz0wsvvCBJmjp1qoKDg62sDB7SuXNn3XTTTUpOTtbQoUOtLgcAgGz99ddfzu/wJ06cqLCwMGsLsgDNnhyaPQEBAZo5c6Yk6fXXX9fJkyeLsjIAAP6RS7MnNDRUt99+u/MfcniZ6GipVCnp0iXp4EHnYJvNplmzZkmS/vvf/+pguscAALCcY7sUGqrAyEjdddddat26te666y5r64LH2Gw2zZgxQ/7+/vrwww+1fft2q0sCACBLfn5+6t69u66++mrdf//9VpdjCXb7dTR7jh7N8uEOHTpo8uTJuvPOO1W+fPkiLAwAgHRyafZUqVJF77zzjpKSkoqwKHiMv79UrZq0c2faqdxiY50PNW/eXNOnT1fHjh1VpUoV62oEACCj/fvT7qtW1WVRUXrzzTeVlJQkm81mbV3wqMsvv1wvvviiWrRooXr16lldDgAAWSpXrpzmzZunpKQk+fv7W12OJWj2REen3R86lO0oI0eOLKJiAADIQmKidP582s8VKrg8ZIxx+ULFbrcXZWXwpBo1/mn2tGvn8pDjApMAABQrBw7ISLLFxDgHkUV804ABA6wuAQCALBljJMn53UhJziKcxq1y5bT7HJo96W3cuFEXLlwoxIIAAMjgr7/S7kuVksLDXR6aOnWqevXqpUNubsdQjFWvnna/Z0+Oo23dulXx8fFFUBAAALk4cECvSrpjxw7tyWX7Bd/xxx9/6C9HPgUAwGJLly5V586dtWPHDqtLsRzNHsfpUA4flv7uAmbnmWeeUdOmTTV9+vQiKAwAgL85TuFWoYKU7iieI0eOaMKECfrvf/+rr776yqLi4DE1aqTd//lntqO88MILatSokf79738XUVEAAGTv9M6dGi3p/X379PHHH1tdDorA7NmzdcUVV2j06NFWlwIAgM6fP6+hQ4fqs88+07Jly6wux3I0eypVSrtPTv5nz+lsNGjQQMYYTZo0iQskAwCKTjbX6xk5cqTOnTuna6+9Vvfee68FhcGj3Gj2XHHFFUpJSdGsWbP0xx9/FFFhAABkbcyaNTop6fLKlfXoo49aXQ6KQMOGDXXx4kW99tpr2rhxo9XlAABKuOeff16HDh1S9erVNXToUKvLsRzNnsBAqWLFtJ9zOQVOz549dd111ykhIUHDhw8vguIAAJB09Gja/WWXOQetW7dOCxculCS99NJL8vNjk+713DiNW+fOnXXLLbfo4sWLevLJJ4uoMAAAMtu6date2b9fkvTS4MEKCOCSwCVBq1at1LNnTxljNHDgQOd1EgAAKGp//vmnpk6dKkmaPn26goKCLK7IenwzJLl93R6bzaaXX35ZNptNS5Ys0TfffFMExQEASrzDh9Pu/95epaSk6IknnpAkPfDAA2rWrJlVlcGTHEf2HD8unTuX7WgzZ85UqVKl9Omnn3LKHACAJRxf9KdIulPSDXfeaXVJKEJTpkxRSEiIvvvuO/33v/+1uhwAQAk1ZMgQJSUlqX379uratavV5RQLNHskt5s9ktS4cWM99NBDkqTHH39cly5dKszKAAD4p9kTHS1JeuONN/Tzzz8rLCxMkyZNsrAweFREhFS2bNrPORzdU6dOHedRPYMGDdKFCxeKoDgAAP7xzjvvaNWqVQqSNM3PT4qJsbokFKEqVao4r9kzdOhQxcfHW1wRAKCk+fzzz/XBBx8oICBAs2bNki3d9Y1LMpo9Up6aPZI0ceJElStXTlu2bNHs2bMLsTAAAOTS7DHGOLc948eP12XpTu0GH+DGqdwk6ZlnnlF0dLT+/PNPTZkypQgKAwDgHy+//LIkaZSkarGxEqdwK3GGDBmiWrVq6ejRoxo3bpzV5QAAShhHFhk4cKAuv/xyi6spPmj2SP80ew4edGv08uXLa9KkSSpfvrzKlStXiIUBACCXZo/NZtO3336rKVOmaMCAAdbWBc9znMpt9+4cRytTpoymT5+usLAwGn4AgCL3v//9T1PvvlvDpX92VECJYrfb9dJLLyk0NFTRfx99DgBAUVm+fLlmzJihMWPGWF1KscLuN1Kej+yRpP79+6tbt240ewAAhS/DadzKlCmjYcOGWVgQCk3t2mn3O3fmOmqPHj3UoUMHlS9fvpCLAgDAVUhIiIbWq5f2C82eEuvmm2/W3r17VaFCBatLAQCUMHa73Xl6c/yDI3ukfDV7/P39afQAAApfaqp05IhSJX24datSU1OtrgiFqU6dtPs//sh1VJvNRqMHAFBkjDH68MMPlZKSkjbAccpRx1GpKJFo9AAAitKKFSt08eJFq8sotmj2SPlq9jgYY/Tuu++qS5cu/4ReAAA85a+/pIsXtUBS1/79dcstt8gYY3VVKCx5aPak98knn+jmm29WUlJSIRQFAEDa6VK6du2q1q1bp+184mj2cGQPJH399de66aabdO7cOatLAQD4qC+//FJdunRRs2bNlJycbHU5xRLNHkmKiUm7P31aymMwOXPmjB588EGtWLFCc+fOLYTiAAAlVUqK9PNHh3Va0gibTZLUoUMH2f7+GT7I0ew5cEBKSHBrkoSEBPXv31+ff/65pk+fXojFAQBKmpQUafVqaf7883rssbRTpdx4443y8/OT/vwzbSSO7CnxLl68qAcffFArV67UhAkTrC4HAOBDHFlk0aJk9ev3hCSpTZs2CgwMtLawYopmjySFh0uOU7I59k5yU9myZfXvf/9bkjR69GgdO3bM09UBAEqg5culatWk5x48rNGS/jJGAQENFBMz0OrSUJjKl5fKlk37efdutyYJCQnR1KlTJUn//ve/tW/fvsKqDgBQgjiySLt20gMPTNTx4wfk7x+r+vVHSklJ/5wZgyN7SrxSpUpp1qxZkqQZM2Zo27Zt1hYEAPAJ6bNI794ztX//dvn5VVTTpuOsLq3Yotnj4NgbybF3Uh488sgjuvrqqxUXF6fhw4d7uDAAQEmzfLl0113SwYNSKX0nx3Gjly7N1t13l9Ly5ZaWh8Jks0m1a6f9nIdTufXq1UutW7dWYmKiBg0aVEjFAQBKivRZRPpd0jRJUkrKi+rVK0T/e22fZIwUEiJFRlpZKoqJW2+9VbfeeqsuXbqkAQMGcNphAECBuGaRfZLGS5JSU6eqT58IvhfJBs0ehwI0e/z9/fXKK6/IZrNp4cKFWrNmjYeLAwCUFCkp0qBBad+fSCn6SQtkJDVXLUltJUmDB6eNBx+Vj+v22Gw2vfLKKwoICNCHH36oFStWFFJxAABf55pFjKTHJF2UdKuk2yRJC8f9fUaMGjXSdlQAJL344osKDg7W6tWrtXjxYqvLAQB4KdcsIkmDJCVIaiPpPkl8L5Idmj0OBWj2SFLz5s310EMPSZIee+wxLhIFAMiXtWsde65I0lwd0WGFS7r+7y9XjEm7nMvatVZViEKXj2aPJF1++eV66qmnJElPPPGEEty85g8AAOm5ZpHFklZLCpb0kqS0LFL6r7+bPZzCDelUr15dzzzzjCRpyJAhOnPmjLUFAQC8kmsWWSHpQ0kBkl6RZON7kRzQ7HEoYLNHkiZPnqzIyEht27ZNn376qYcKAwCUJEeOpP+tqWooTJMkxatODuPBp+Sz2SNJzz33nGJiYrRv3z4tW7bMw4UBAEoC14xxhaRrJT0rqZpzaA39/X8zzR5kMHToUNWrV0/Hjx/XwoULrS4HAOCFXLOI4ywnQyQ1yGE8SGktMUgeafaULVtWr776qkJCQnTTTTd5qDAAQElSqVL635pruSrrCsXr5nRfsGQeDz7F0ezZuTPPk4aGhuq1115TUlKSunTp4uHCAAAlgWvGaCTpO0mpLuNUV7rTuAHpBAYGat68eTpy5Ii6d+9udTkAAC/kmkXqS/pa0qVcxoNEs+cfjpC6Z4+Umir55e+gp65du3quJgBAidOqlVS5cooOH/aXMUa1tE/+kvYobc9Zm02qUiVtPPio2rXT7k+ckE6flsqWzdPkHTt2LISiAAAlhWsWkdJOCPLP/8c2m1Q3YE/aZXw4sgdZaN26tdUlAAC8WOYsYpNUyvk434tkj9O4OcTESAEBUlKSx44BO3TokH766SePzAsAUDKkpCQrMLCZjBmnitqvUCUoVTbtV1Xn9Y9nzZL8/S0tE4WpdOl/dlHKx9E96R0/flzff/+9B4oCAJQcKSpdurWMGSnpvMsjNpskY1S/1N/bp1q1irw6eJfTp09rzZo1VpcBAPAifn5GFSrcLGMGSYpzeYzvRXJGs8chIECKjU37uQCncnNYu3at6tWrp27duun8+fO5TwAAgKSpU6dqz55NCg9/RY3L75AkHVJlJcuuKlWkd9+V7rjD4iJR+Apw3R6HjRs3ql69err99tt1+vRpDxUGAPB1c+bM0Y4d3yskZI4qVYp3eaxKFWnFG8dVKiE+7duWmjUtqhLeYMeOHapbt65uu+02HeHCCgAAN7311lv65ZeVCgx8VVFRJ10e43uRnHlNs+f/2bvr6CjOLoDDv01Cgia4BofiWqxAcChQKBACRT6guFuRFihW3FooWrRIgweHIsW1uJTiGghQLIEQIpv5/nhJIBCXnd3Nfc7ZM7s7sncHkrmZ+8rcuXMpXrw4jo6OODo68sUXX7Bjx474/ZCQodzi2IoWoHTp0qRLl467d+8yevToOB9PCCGE9btx4wZjxowBYM6cX9g+QyU1DgVzs2+fGmlUEhr9mCQXCRFS7LlyJdaHKFq0KJkzZ+bJkyf88MMP8RSYEEIIa/bgwQOGDh0KwNSpE7l/Pwv79oG7O6G5yFf53zVEyJULHBz0CzYRMmkuEg/y5ctHrly58Pb2pn///nqHI4QQwgI8e/aM7777DoDRo0fi6Znnk1xE7otEzGKKPc7OzkycOJHTp09z6tQpatSoQaNGjfjnn3/i70MKFVLLy5fjfKgUKVIwZ84cAH7++WfOnz8f52MKIYSwXpqm0b17d/z9/alduzYtW7bE5q6a/DhjudxUqyZdlPVmklwkROHCavnvv7E+RMgEyQDz58/nyJEj8RGZEEIIK9a3b19evXpF+fLl6dq1K7a2UK0atGzJ+1wkpNdpSMMEYTImzUXiga2tLfPnz8fW1pbVq1ebdWFKCCGEeRg8eDBPnz6laNGiDBgwIPxcRETIYoo9DRs2pH79+uTPn5/PPvuMcePGkTJlSo4fPx5/H1K0qFpeuhQvh6tfvz7NmjXDaDTStWtXjEZjvBxXCCGE9XF3d2fPnj0kTZqUuXPnYjAYVJMVkMmPzYRJcpEQIcWeON68cXFxoVOnTgB07dqVgICAuEYmhBDCSm3ZsoX169eH3qC3sYngdoEUe3Rj0lwknpQsWZJ+/foB0KNHD968eaNvQEIIIczWgQMHWLx4MQC//fYbSZIk0Tkiy2MxxZ4PGY1GVq1aha+vL1988UWE2/n7++Pj4xPmEal4LvYATJ8+HUdHR06cOBHaulYIIYT40PPnz0OHthg+fDh5Q8a/l2KP2UqwXCREkSJqeeMG+PvHKdZJkyaRIUMG/vnnH6ZNmxanYwkhhLBOr1+/plevXgAMGDCA4sWLR7yxFHvMQoLnIvFo1KhR5MiRgzt37vDTTz+Z/POFEEKYP39/f7p16waohooVK1bUOSLLZFHFnosXL5IyZUocHBzo1q0bGzZsoHBIy9dwTJgwAScnp9BH9uzZI/+AkBsrDx5APExkbDTCtWtZadp0AgBDhgzh4cOHcT6uEEII63LixAlevXpF4cKFGThw4PsVUuwxOwmei4TImhUcHUOSiVjHazTChQtpadbsFwB++uknbt68GevjCSGEsE5nzpzh2bNn5MqVixEjRkS+sRR7dGWyXCSeGI1w6lRKmjefDcC0adO4ePGiSWMQQghh/i5duoSXlxeZMmViwoQJeodjsQyapml6BxFdAQEB3Lt3D29vb9atW8fChQs5cOBAhImNv78//h+0hvXx8SF79ux4e3vj6OgY/ofkzAn37sGhQ1C5cqxj9fCAvn3B0xPACFQlZcov+O23UbRqlUJt9OYNbNqkPuvWLfVerlzqc5s0gRQpYv35QgghLMvNmzd59eoVJUuWVG8EBUGyZGp57x4k4B/mPj4+ODk5RX59FICJcpEQFSvCsWOwahV8802MYw2bi2hAPVKkyMfcueNo08YpxscTQghh3e7fv4+XlxflypWLeCOjEZInh4AA1SglV654+WzJRaLPpLlIHIXNRQCakTy5I3PmTKZdu3QJ+tlCCCEsz6NHj7hx4waV43BPPrasJRexqGLPx2rVqkXevHmjPTxatP7R6teHHTtg7lx413Uspjw8wM0Nwp7ZIAwGOwA2/PGGRrenw+TJ4O0d/kEcHeG772DwYHWzTwghROJy7RoUKABJk8Lr1wk6C6G1JDV6SJBcJESnTrBoEYwYAaNHxyiuqHKRdevA1TVGhxRCCCFUgSdPHnBwAF/feMtPJBeJvQTNReJAchEhhBCWxFpyEYsaxu1jwcHBYVqoxIs4zttjNKqWK5+W0OzQNCihnaNAm9L4DRumCj25c8OAAbB4MSxZAoMGQd684OMDo0ZB8eJw/nxcvpEQQggzNW/ePI4cORL+ysuX1bJQoQQt9Ii4SZBcJERIC91//onRblHlIgB9+2q8eiUTJAshRGL3+++/s2fPnujvEDKEW758kp+YiQTNRWIpurmIj4+vqUMTQghhZtasWcOWLVv0DsNq2OkdQHQNGTKEevXqkSNHDl69eoW7uzv79+9n586d8ftBIcWec+ditfuhQx92UQ6rPtsYgyvtjQGUcEjOvMULoEULsPmo5jZxomrmMmCAmpi5QgVYuRIaN45VTEIIIczPpUuX6N27N0FBQZw+fZrSpUuH3SDkBn/IfHJCdybLRUKE/NuHFP6iKbJcBEDTbuLp2RlX16zs3r0iDgEKIYSwZLdu3aJHjx74+fmxf/9+qlatGvVOMl+Prkyei8RS1LnIfTw9u1G3rg1HjmzGYDCYLjghhBBmw8vLi65du/Ly5Us2bdrE119/rXdIFs9ievY8efKEtm3bUqBAAWrWrMnJkyfZuXMntWvXjt8PChmf+PRpNQ5xDHl5hf/+/1jOJhrxkgCOA7/5v+FIzpyfFnpAvde8uerRU68evH2r+j+7u8c4HiGEEObHaDTSqVMngoKC+PrrrylVqtSnG0mxx+yYLBcJEdKz5/r1GOUkEeUi7z0DDrBnzx/s2LEjttEJIYSwYJqm0a1bN/z8/KhWrRpVqlSJ3o5S7NGVyXORWIo6F3kF7ObYsa2sWbPGBBEJIYQwR3369OHly5d8/vnn1K9fX+9wrILF9OxZtGiRaT6oQAFImxaeP1e9eyKbnDIcWbJ8+l49trOUdtig4UkbDNii8TudO3fm7NmzODg4hH+wtGlh82bo3Bl+/x3atoXUqdW8QkIIISzWnDlzOHHiBKlSpWL27Nnht2aUYo/ZMVkuEsLZGVKlglevVMEnmv8XwstFwioH9AV+oXv37ly6dImUKVPGMVghhBCWZPny5ezevRsHBwfmz58f/Z4VIcWe/PkTLjgRIZPnIrEUdS5SGBgGjKJPnz7Url2btGnTJnxgQgghzMamTZtYt24dtra2LFy4EDs7iylTmDWL6dljMgYDVKyonh89GuPdXVzUvZmQXPkzrrKSltigsYgOtOd3smSdRsaMGfn333+ZMGFC5Ae0s1OTM//vf2rg22bNYj2fkBBCCP3du3ePIUOGADBp0iScnZ0/3SgoCK5cUc+l2JN4GQyxmrfn41wkvMNmy/YTOXPm5O7duwwfPjweghVCCGEpnjx5Qv/+/QEYNWoU+WNSuLl6VS2lZ4+IRHRyEWfnHyhUqBBPnjxh4MCBpg1QCCGErry9venRowcAgwYNomTJkvoGZEWk2BOeOBR7bG1hxgz1PDUv2czXOOHDISrTg7loBhtmzkzLzJkzARg/fjz/vLuBYzTC/v1qep79+9VrQA3rtngx1KwJb95A06bg4xO37yiEEMLkNE2je/fu+Pr6UqlSJbp27Rr+hjdvqmG7kieHXLlMGqMwM7Eo9nyYi3x8kyXk9a+/pmTevHkAzJgxg7///huIJBcRQghhNfr378/z588pUaIEAwYMiP6Or1/D3bvqeaFCCROcsArRyUVmzHBg4cKFGAwGlixZwl9//RW6jeQjQghh3YYMGcLDhw/Jly8fI0aM0DscqyLFnvCEFHuOHAFNi/Hurq6wbrWRdUlbU4Br3CM7bqwjU3Z71q1T65s1a0aDBg0IDAykU6dOrF1rJFcuqF4dWrVSy1y5wMPj3UGTJIFVqyB7dtV1vkOHWMUmhBBCP3/99Rfbt2/H3t6eBQsWYBPevG0Aly+rZaFC4c/tJhKP4sXV8sKFGO3m6grr1kG2bGHfd3YmNBepW7curVu3RtM0OnbsyOrVAZHnIkIIISzeyZMncXd3x8bGhoULF5IkSZLo7xySn2TKBOnTJ0yAwmpEJxepWLEi3bt3B6Bz5874+vri4YHkI0IIYcWuXLnC3LlzAZg/fz7JkiXTOSLrYtC0xFMx8PHxwcnJCW9vbxwdHSPe8M0bcHJSw+hcvw758sX8w4YMgYkTMdonZffIIyStWBoXF9XCJYSnpydFihQhQ4b83Ly5DcgU5hAhLV5CEiEATpxQfaIDA1Vvn/btYx6bEEIIXWiaxrJly3j+/Hno8CnhGj4cxo6Fdu3UnG0JLNrXRxFnMT7X+/ZBjRrqLsft2zH+PKMRDh1SEyVnycInucjTp08pXLgwyZJl4t69rUDOMPuHm4sIIYSwWJqmsW7dOq5du8awYcNitvOSJarRYY0a8EEvjPgguYjpmPpcR5WL+Pj4ULRoUZImTUrv3lvo27fAJ+1aJR8RQgjrsnXrVo4dO8a4ceP0DiWUteQiUuyJSK1aKoGdOhVi0rUdVA+cli3Vc3f398/DcebMeb7+uggPHoQ/CZUay1bd3wlNiCZPhu+/B0dHNaxLePM9CCGEsFy1a8OePTB3LnTrluAfZy1JjSWI8bl+/hzSpVPPX7yA1KnjPaZz5y7SoEEBHjywD3d9uLmIEEKIxGfgQJg2DXr3hl9/jddDSy5iOuZ4ri9fvkyOHLkpVCgZnp7hbyP5iBBCiIRkjtfH2JCxYSLSpIlabtgQs/3OnlWtnQAGD4600APg41MiwkIPqJHa7t9XLWFCDRgA5cureXs6d5bh3IQQwsydPHmSly9fRm9jo1H14gT44osEi0lYiLRpIUcO9TyGQ7lF18uXxSIs9EAEuYgQQgiLcu7cOZ4+fRq3g4TMH1e0aNwDEuIDhQsX5tSpiAs9IPmIEEJYun/++QcvLy+9w7B6UuyJSKNGann0KDx+HL19njyBxo3Bzw/q1oXx46Pc5f3/cX/gR2BBFNuhmrH8/js4OMCff8KaNdGLTwghhMk9f/6chg0bUqRIEf4JuUkSmcuX4dUrSJECihRJ+ACF+StZUi3PnUuQw7/PMQKB8cDPUWwnhBDCkrx+/ZomTZq8u6F+KvYHunRJLSU/EQlA5RlG4Bfgpyi2E0IIYUn8/f1p3rw5hQsX5sCBA3qHY9Wk2BMRZ2coW1Y1H4lO756AAHBzg3v3IH9+WLkyWn2Ls2QJeeYOjAO+A+5Fst07BQtCyBjLAwbA69dRxyiEEMLk+vfvz+PHj3F0dCRv3rxR73D8uFqWKwd2Eff8FIlIiRJqmUDFnvc5xhZgGDAUuBLJdkIIISzJ0KFDuXPnDsmSJaNAgQKxO4i3N6HdLqTYIxKAyjP2o+6J/AScjmQ7IYQQlmTs2LFcvnwZe3t7ikoP4QQlxZ7ING+ulvPnRz5UmqZBz56qP7GjI2zeHO0x9V1cQqbcaQdUAl4DXQD1eQYDZM+utvvEoEGQJw88eKAm8hZCCGFWtm/fzrJlyzAYDCxevJikSZNGvdOxY2opQ7iJECE9e86fT5DDv89FmgB1Ub2NO6Ja10aRiwghhDBrhw8fZubMmQAsWLCAVKlSxe5Aly+rZbZsCTJ/nBAqH6kJfIPKQToAAaHrJR8RQgjLdO7cOSZMmADA7NmzSRcyJ61IEFLsiUz79pA0qZqHZ+/eiLcbNw4WLgQbG/jjD9XrJppsbWHGDDAYbIBFgAOwE1iCwaC2mT49gk5CSZOqlQA//wzXr0f7c4UQQiSsly9f0rVrVwD69evHF9Et3hw8qJZS7BEhQoo9ly5BYGC8H/59LmIAfgNSAUeBX6PORYQQQpitN2/e0OHdfLIdOnSgTp06sT+YDOEmElhIPgIzgfTABdTwskg+IoQQFiogIID27dtjNBpp2rQpbm5ueodk9aTYE5l06aBzZ/V88GAICvp0m/nzYfhw9fzXX6FBgxh/jKsrrFsHzs4FgDHv3u1P5sz3WbdOrY9QgwZqfqDAQPjxxxh/thBCiITx3Xff4enpSb58+RgzZkzUOwDcuAE3b6rh26pWTdgAheXIlUv1HA4IgCufDq8WH97nIjmAqe/eHUqmTNeizkWEEEKYpWHDhnH9+nWyZs3KtGnT4nawkHkHpdgjEpCrK6xfn4G0aWe9e2cccBZnZyQfEUIICzR+/HjOnTtH2rRpmTVrVtQ7iDiTYk9Uhg1T3dTPnIEhQ94P5xYYCCNHwrtW23z/vRrKLZZcXeHOHdiz5zvy5asA+FC0aCeaNIlk+DhQTVwmTVLLNWvgdPjj2gohhDCdHTt2sGTJEgwGA0uWLCFFihTR3VEtK1eG2A6zIqyPjQ0UL66eJ9BQbvA+F9m7tzPFitUG3pIr17c0amRMsM8UQgiRMA4fPswM1U2ChQsXkjquQ69JsUeYiKsrPH7cnCpVmgJB5MnTjqtXA6TQI4QQFub8+fOMGzcOgDlz5pA5c2adI0ocpNgTlUyZYO5c9XzqVGjYEEaNUkOq/PSTen/IEHg39mBc2NpCzZq2bN36O0mTJuXo0SNciU4L3uLFoXVr9fyHH+IchxBCiLgpV64crVq1on///lSuXDn6O65fr5ax6CUqrFzIUG5nzybox9jaQvXqBrZuXUiqVKk4d+4sZxP4M4UQQsS/4sWL07FjRzp27Ei9evXifsCQYo9MqixMwM7OwNq1c0ifPj3371/hxImjeockhBAihvLnz0/Pnj1p3rw5zZs31zucRMOgaVoUXUesh4+PD05OTnh7e+Po6BiznWfOhP79wfhB69Z06dRcOW3bxm+gwLp16/j888/JnTt39Ha4fRsKFFA9jnbvhlq14j0mIYRI9E6ehNWr4dAh9Xs3OBgyZFA34hs0gEaNIGVKQF0u9u838uSJLVmyqMlkIx1j3MtLTXqsaap7Rc6cpvhGQByvjyJGYn2uf/9dzSVYpQocOJBg8X1oy5Yt5M+fn4IxmItQCCGE+YhxLhKRx48hc2Y1moSPT2iuE58kFzEdSzrXu3btIlOmTJQoUULvUIQQQsRCvOUiJmBJ18fI2OkdgMXo3VsVUFasgCdPVIumtm0hTZoE+bgYT1iVOzd0767mDRoyBGrWfD+LoRBCiLg5dw6++w727ft03bNnah6VVat44ORE1n792JqnLz2GpcHT830W4+ysJp2NcAiKJUtUoadSJZMWeoSFKFtWLU+fVhmzCTLkhg0bJvhnCCGEiF8PHz4kS5YsbNhgoG9fYpaLRCSkh+dnnyVIoUeIiNSpU0fvEIQQQsSQl5cXmTJlYuNGm/jLRUS0yTBuMVGoEIwbBwsWQN++CVbo+djevXtxd3ePesMff4QUKeDUKdi+PeEDE0IIaxccDKNHQ5kyqtCTJAm0bAnu7urGx6VL8Oef8OOPPMuVi8+9vXEdPZoC7fJR1XMF8L7z7IMH4OYGHh7hfE5AAMybp5536WKSryYsTMGC6gabry/8+6/JP/7YsWMsXrzY5J8rhBAi+l6/fk2lSpUoVaouTZs+xtMz7PpIc5HIhBR7SpWKlziFiI0zZ84wZ84cvcMQQggRCX9/f2rVqkXRotVo2vR+/OUiItqk2GPm9u/fT82aNencuTM3btyIfOMMGaBnT/X8p59UC3EhhBCx8+aNam4yapTqSdGsGdy4oQo9LVuqoduKFIEvv4QxY+hZrhyPgYvYk4PnrKANu6hDHm4C738l9+sXdkRQABYvhvv31RApMpatCI+trSo6Avz9t0k/+vTp01SuXJnu3btz4cIFk362EEKI6BswYAB37tzh0qWrQPJP1keai0QmpNhTunRcQxQiVq5du0b58uXp3bs3x44d0zscIYQQERg+fDiXL1/m6tWrQLJP1sc6FxHRJsUeM1elShWqVavGmzdvaNeuHcaofhIGDIBkydSNoF27TBOkEEJYGz8/Nf/Opk3g4ABLl8KaNZAjR7ibr1q1itVr1mBjY8sd9vET4/AjKbXZw0WK8R3TsMGIpqmazqFDH+z8+LHqmQnwww+QNGnCfz9hmcqVU0sTF3tKly5NgwYNCAgIoE2bNvj7+5v084UQQkRt+/btzJ8/HwCjcQmQKtztws1FonLmjFpKzx6hk88++4wWLVoQHBxM27Zt8fX11TskIYQQHzl06BBTp04FIDh4AZA+3O1ilYuIaJNij5mzsbHh999/J1WqVBw9epQpU6ZEvkPGjNCtm3ouvXuEECLm3r5VhZ49e9SwWXv2qDnaIvDgwQO6d+8OQJMmwzFSkQkMpRgX+YsaJMePaQzkGF9QGZXNeHm929nHB5o2VfP+FCsGPXok9LcTlixk3h4TF3sMBgPz588nffr0XLhwgVGjRpn084UQQkTu6dOndOzYEYB69foD1aPcJzQXiYq3N9xUvZSl2CP0NHPmTJydnblx4waDBg3SOxwhhBAfePXqFe3atUPTNKpV6wB8HeU+0c5FRIxIsccC5MyZk19//RWAESNGcP78+ch3GDRItUQ/ejT8ycSFEEKET9NUwXz3bjUH2o4dULlyJJtrdOjQgZcvX1KmTBm6dRsauu4m+ajFHjqykJc4UY6THKIKf1OWSlt+gGHDVIHnyBFwdFQ9h5IkMcW3FJYqpGfPhQuq95kJZcqUKbTF+OTJkzly5IhJP18IIUT4NE2je/fuPHr0iEKFCtG377ho7ZclSzQ/IORvzxw5IF262AUpRDxInTo1v//+OwBz585l586d+gYkhBAi1Hfffcft27fJmTMnAwf+Eq19op2LiBiRYo+FaNeuHY0bNyYwMDDqIVSyZIHOndXzsWNNE6AQQliDX35RQ7bZ2sKGDZEWekD9oblr1y6SJk3K8uXLqV49yUf3QQwspiOF+Jd5dCUQO8pyihwrJ8H48XDvHuTMCXv3QsGCCfrVhBXInh0yZVKDG587Z/KPb9KkCe3atSM4OJh27drx+vVrk8cghBAiLHd3d9atW4ednR3Lly+nVq1kUdZk0qUDF5dofkDIfD3Sq0eYgZo1a9KnTx8AOnTowPPnz3WOSAghxJYtW1i4cCEGg4GlS5dSt65j/OYiIkak2GMhDAYDv/32GxkyZODixYusWbMm8h0GDwY7O9Wz59Qp0wQphBCWbN8+1TMS4OefoXbtKHcpWrQoOXPmZNKkSRSMpFjziCx0Zx7ZeMDAFHMJ7tUbunSBhQvhn3/g88/j61sIa2Yw6DZvT4gZM2aQPXt2bt68Gdq6VgghhH4+++wzPvvsM0aMGMHnCZFPyHw9wsxMmDCBAgUK8PDhQ+bOnat3OEIIkejlzJmT4sWL079/f6pWrap3OImend4BiOjLmDEjixcvxtvbm1atWkW+cfbs0LIlLF8OU6bA6tWmCVIIISzRixdqXp7gYPj2W+jdO1q7ValShYsXL5IiRQpATTD47FnE2/9HRqb5dqNBU6hWLe5hi0SoXDnYsgWOH4e+fU3+8U5OTixdupQbN27QqVMnk3++EEKIsMqWLcvZs2ext7cHos5FQK0/dCiauYj07BFmJnny5CxfvpwjR46E9vIRQgihn+LFi/P333+jvZs3Pt5zEREjUuyxMA0aNIj+xgMHqmLPunVqUs28eRMuMCGEsFQh8/R4ekL+/DBrlupBEQlvb2+cnJwASJUqVej70Z1gUCYiFLH2xRdqefiw+r8bxf/VhFC9enWqV4968m8hhBAJ58NcJHny5KHvx2su8uYNXL6snpcuHcMIhUg4ZcuWpWzZsnqHIYQQidqHuYiDg0Po+3JfRF8yjJsFe/r0KbNmzYp4g+LFoW5d1VL9559NF5gQQliSVatgzRo19OUff8C7XjoROX78ODly5OC3334LbbkSIroTDMpEhCLWKlRQ/1c9PdWcTzrz9vbml19++eRnQQghRMK5ePEiOXLk4OeffyY4ODjMunjNRU6fVvPEZc0K2bLFPFAhTMDX15dp06ZhNBr1DkUIIRKNmzdvkitXLsaOHfvJ71+5L6IvKfZYKF9fX0qVKkXv3r1ZtWpVxBsOHqyWixfDf/+ZJjghhLAUz569Hwpr+HCIooXgq1evaN26NT4+Phw4cADDR70qXFzA2TnizhYGgxplUyYiFLGWIsX71tWHDukaSkBAAOXKleO7775j/vz5usYihBCJxdu3b2nVqhU+Pj7s3bs3YXOR48fVskIFXXqSChGV4OBgqlSpwsCBA5k2bZre4QghRKIQFBTE//73P16+fMnu3bs/WS/3RfQlxR4LlSJFCjp06ABAt27duBdR695q1aBMGXj7Vg1NJIQQ4r1Bg1QhvEgR+OGHKDfv27cvt27dIkeOHMyZM+eT9ba2MGOGev5xYhPyevp0tZ0QsVa5sloePqxrGPb29nTt2hWA/v37c/XqVV3jEUKIxGDIkCFcunSJDBkysGjRok+KPfGaixw7ppYVKsQpZiESio2NDT169ADgxx9/5MyZMzpHJIQQ1m/s2LEcP34cJycnli1bhu1HSYXcF9GXFHss2PDhwylfvjze3t60bds2/G7LBoO6mQmq2OPra9oghRDCXO3fD0uWqN+TCxbAu4mNI7J+/XqWLFmCwWBg2bJlpE6dOtztXF3VVGkfj3bi7Kzed3WNn/BFIhbSBErnnj0A/fr1o1atWvj5+dG6dWsCAgL0DkkIIazWrl27mD59OgCLFy8mU6ZM4W4XL7mIpr0v9oTMFyeEGerQoQNNmjQhMDCQ1q1b8+bNG71DEkIIq3Xs2DHGjBkDwJw5c8iZM2e428l9Ef0YtEQ0yLqPjw9OTk54e3vj6Oiodzjx4saNG5QsWRJfX18mTpzI999//+lGQUFQoADcugXz5sG7VrhCCJFoGY1qKKwLF6BbN5g7N9LNHzx4QLFixXjx4gU//PADEyZMiNZHHDqkJh3MkkXdnzfXlivWeH00V/Fyrv/7DzJmVM+fPoV06eIvwFh48OABxYsX5/nz5wwZMoTx48frGo8QQlijp0+fUrx4cby8vOjevXu4PYw/Fqdc5N49yJlTzRPn7Q3Jk8ftC0RBchHTscZz/ezZM4oVK4aXlxc9evRg9uzZeockhBBW59WrV5QsWZJbt27RqlUr/vjjjyj3kfsipic9eyxcvnz5+PXXXwHV0+fUqVOfbmRnB336qOfTp8NHk3gKIUSis3ChKvSkSQNjx0a6qdFopG3btrx48YLSpUszevToaH2Era0aSbNlS7U014RGWKAMGaBgQfX8yBF9YwGyZcsWOmfPxIkT2b9/v74BCSGEldE0jc6dO+Pl5UXBggWZOnVqtPaLUy4S0qunRIkEL/QIEVfp0qVj6dKlgGppvmXLFp0jEkII69O7d+/QYe2jW1SX+yKmJ8UeK9C+fXvc3NwIDAxk6NChEW0EqVLBlSsQzuRZQgiRaHh7w48/quejRkWrV0SVKlVwdHTE3d0d+yiGexPCJELm7TGDodwAmjZtSocOHdA0je+//55E1HFcCCESnKZpVKpUiRQpUvDHH3+Q3BTFl+PH1VLm6xEWonbt2vTv3x+A77//nmBp5CqEEPFG0zTKly9PihQpWLFiRYTD2gv9SbHHChgMBubPn0+fPn1Yu3Zt+Bs5OkLHjur5u3GehRAiURozRg19VbAgdO8e5ea2traMHDmSW7duUaBAARMEKEQ0VKmilmbUi+bXX3+lV69ebNu27ZMJw4UQQsSejY0NAwcO5O7du5QuXdo0Hyrz9QgLNGHCBHr37s1ff/2FjY3c7hJCiPhiMBjo3r07d+/exSVkDllhlmTOnsTk1i3Il09Ntnn5MhQqpHdEQghhWjdvqt99gYGwfTvUqxfhpq9fvyZJkiQ4ODiYMEB9JPrrownF27l+8EDNbmkwqOJl2rTxF6QQQgiz4OfnR3BwMClSpDDtB799C05OEBAAN25A3rwJ/pGSi5iOnGshhBDRFRgYiJ+fX6K4XljL9VGaOlghTdOYN28eN27cCLsiTx5o1Eg9nzHD9IEJIYTeRo1ShZ46dSIt9GiaRpcuXahQoQJXr141XXxCRFe2bKpwqWmwb5/e0XxC0zSWLVvGhQsX9A5FCCEs1nfffUeZMmU4f/68aT/4xAlV6MmcWf0NKaxTIhjmbN26dRwPGZJQCCFEjA0fPpySJUty4sQJvUMR0STFHis0evRounfvTqtWrQgICAi7sl8/tVy2DJ49M3lsQgihm4sX4Y8/1PPx4yPddOnSpaxcuZKLFy/y4sULEwQnRCzUrq2We/boG0c4ZsyYQbt27WjZsiVv3rzROxwhhLA4Hh4ezJs3jytXrvDkyRPTfnhII4Jq1VQPUmGdTp/WO4IEtWTJEpo1a0bLli3x9vbWOxwhhLA4u3fvZtKkSdy+fZsHDx7oHY6IJin2WKEOHTqQJk0aTp48ybBhw8KurFIFSpYEPz9YsECX+IQQQhfDh6teEG5u8PnnEW529epVevXqBcBPP/1EBZmYWJirWrXUcvdufeMIR+vWrcmcOTOXL1+mX0hDEyGEENFy7949OnXqBMDgwYOpHVLcN5WQ+eCqVTPt5wrTWr9e7wgSlKurK7ly5eLOnTt06dKFRDSDgRBCxNnjx49p27YtAF27dsXV1VXniER0SbHHCuXIkYOFCxcCMHXqVLZt2/Z+pcHwvnfPrFlqOCMhhLB2x4/Dpk1gYwNjxkS4mZ+fH82aNcPX15fq1avz/fffmzBIIWKoalWwtVVzUd2+rXc0YWTIkIHly5djMBhYsGABq1at0jskIYSwCIGBgbRo0YIXL15QtmxZxkSStySIt29V3gRS7LF269eD0ah3FAnGycmJlStXYmdnx5o1a5g/f77eIQkhhEUIDg6mTZs2PHr0iMKFC/Pzzz/rHZKIASn2WClXV9fQlunt2rXD09Pz/coWLSBTJjW5s5W35hFCCABCejm2awcFC0a4Wb9+/bh48SIZM2bkjz/+wNbW1kQBChELjo4Q0vPsr7/0jSUctWrVYujQoQB07tyZ69ev6xyREEKYvx9//JFjx47h5OTEqlWrsLe3N20Ax4+Dvz9kyQKffWbazxam9eTJ+15cVqpChQqMfzd8c9++fU0//5UQQligiRMnsnv3bpIlS8aaNWtInjy53iGJGJBijxWbOnUqpUuX5tmzZ7Rs2ZKgoCC1wsEBevRQz6dPD93eaFS53sqVamnFjXyEEInJX3/B3r1gbw8jR0a42erVq5k/fz4Gg4EVK1aQJUsWEwYpRCyZ8VBuAKNGjcLFxYXXr1/TvHlz3r59G+n2kosIIRKzP//8k8mTJwOwePFi8uTJY/ogZL6exGXlSr0jSHADBgygfv36+Pv707x5c169ehXp9pKLCCESsyNHjjB8+HAAZs+eTZEiRXSOSMSUFHusmIODA2vWrMHR0ZFjx45x5MiR9yu7dVM3Pk+cgOPH8fCAXLmgenVo1Uotc+UCDw+9ohdCiHigaTBihHretSvkzBnhphUqVKBChQoMHTrU9GPjCxFbX36pljt3muXQrHZ2dqxcuZL06dNz/vx59uzZE+G2kosIIRK7EiVKUL16dXr16qXf2PgyX0/ism6d6sllxWxsbFi6dCnOzs5cu3aNLVu2RLit5CJCiMSuYMGC1KtXjzZt2vDtt9/qHY6IBYOWiGap8/HxwcnJCW9vbxwdHfUOx2S2bNlC2rRpqVSpUtgVHTrAkiV4VmxOjmOr+fh/QkhDrnXrQObhEkJYpL17oWZN1aPx9m01JEkkAgMDMRgM2NnZmShA85BYr496iPdzbTSq/9f//af+v1evHvdjJoA9e/agaVqEhVQPD3BzQ3IRIUSiZzQaMRqNph++DcDPD1KnhoAAuHYN8uc32UdLLmI6oec6SxYcvbzURbZpU73DSnBHjhzh6dOnNGrUKNz1kosIIYQSHBxMQEAASZMm1TsUk7KWXMRievZMmDCBsmXLkipVKjJmzEjjxo25evWq3mFZhIYNG35a6AHo2xeAzEfXk027/8nqkCSnXz/puiyEsFAhkxp36hRhoefixYuhz5MkSZLoCj0i+swyF7G1ha++Us83b9Y3lkjUqlUrwkKP0ahSkvCaH0kuIoRIDD7MRWxtbfUp9AAcOKAKPc7OkC+fPjGISMVrLtKypVouXBh/AZqxSpUqRVjokVxECJHYXbx4kZD+IDY2Nomu0GNNLKbYc+DAAXr27Mnx48fZvXs3gYGB1KlTB19fX71DsyiXL1+mQ4cOBAYGQokSvChVHTuM9GR2uNtrGty/D4cOmThQIYSIq8OH1VAkSZLA99+Hu4m7uzvFixdnyJAhJKKOriKWzDYXadhQLbdsCf8uhZm5efMm7dq1w8/PD1A5hqdnxNtLLiKEsGZbt26lePHi9OrVi+DgYH2D2b5dLevXl/l6zFS85iJt2qjlzp1w5068xmnuPD09adOmDT4+PoDkIkKIxO3AgQOULFny/f1iYdEspvnyn3/+Geb177//TsaMGTl9+jRVqlTRKSrL4u/vT+3atXn48CFp06Zl6tSpXKzRjypn99GF+YxhOG9IEe6+Xl4mDlYIIaLBaFR/dHl5qY47Li6qowPwvldP+/aQPfsn+16+fJkuXboAqhWtQW5qiCiYbS5Sp46ah+/mTbhyBQoV0i+WKBiNRurVq8f169ext7dnwYIF0c4xJBcRQpijSHORKNy+fZs27264GwwGbGx0bosZUuypV0/fOESE4jUXyZMHatWCPXtg8WL46ad4jNR8aZpGo0aNOHPmDP7+/qxevRovr+j9HSC5iBDCHMUlF/Hy8uKbb74hODgYo9EoI51YAYvp2fMxb29vANKmTRvhNv7+/vj4+IR5JGYODg7MnDkTgGnTpuHh4UFwva+4QV7S8oI2LI9w3yimuRBCCJOLdALVv/+GXbtUhvPDD5/s+/r1a9zc3PD19aVGjRqMHj3a1OELK2A2uUjKlFCjhnoeyaTD5sDW1pbZs2djMBhYuHAhv//+e7RzDMlFhBDmJi6Tub99+5ZmzZrx8uVLypcvz7Rp0xI63Mhdv64aDSRJouY7FBYhzrlI585quWgRBAUlZKhmw2AwMHv2bOzs7Fi7di0zZ86UXEQIYbHikosEBQXRokULHj9+TNGiRZk7d640grUCFlnsCQ4Opl+/flSqVImiRYtGuN2ECRNwcnIKfWQPp2V3YuPq6sqAAQMAaN++PZmz3WJpajV3Tz+mYyDs0AEGg2oQ7+Ji8lCFECJCIROofjzcwoMH6n2vHu969bRpA7lzh9lG0zQ6d+7Mv//+S9asWVm5ciW20W32IsQ7ZpeLhAzltmlTwhw/HtWuXTu0wNq9e3ecnC7g7BzxiEGSiwghzFFUuUhUN1n69+/P6dOnSZs2LWvWrNFvnp4QIb16XFwgVSp9YxHREi+5SOPGkCEDPHwIW7cmfNBmokKFCqEF1gEDBmBnd0xyESGExYlrLvLjjz9y8OBBUqZMybp160iRIvzRnoRlschiT8+ePbl06RKrVq2KdLshQ4bg7e0d+rh//76JIjRvEyZMoHLlyvj4+PDNN24U//kbvHGkIFf5kp2h24UkOtOnR7/7nxBCJLSoJlAtpZ0hy+mtaDY2MHToJ9vMnTuXVatWYWtry+rVq8mYMaMJohbWxuxykcaN1YX76FE1qLyZGzZsGHXr1uXt27c0b96U8eNVy+SPb7JILiKEMEdxncx9xYoVzJs3D4PBwB9//EGOHDkSLNZo+3C+HmER4iUXsbeHDh3U819+ScBozU/v3r1p3rw5QUFBtGzZnJ9++g+QXEQIYRnimots3ryZSZMmAbB48WIKFCiQMIEKk7O4Yk+vXr3YunUr+/btw9nZOdJtHRwccHR0DPMQkCRJktAbnBcuXGD7we953KAjoHr3hHB2hnXrwNVVp0CFECIcUU2gOoyxADyp3gLy5w+z7v79+/Tv3x+AyZMnU7ly5QSLU1gvs8xFsmZ939x07dqE+Yx4ZGNjw4oVK8iePTs3btxg48YOrF2rkS1b2O0kFxFCmKO4TOb+9OlTunXrBsDw4cOpW7duAkUZA76+cOCAei7FHosQr7lIr15gZwcHD8KpUwkYtXkJGVK2QIECeHp6snJla1avNkouIoSwCHHJRV6/fk2Hd4X+vn370qxZswSKUujBYoo9mqbRq1cvNmzYwN69e8n90bA8ImZChi6ysbHh9u3bOE/qhGZjw5fsYuvkf9i3D27floRGCGF+IpsYtSgXcWUDwRg49eWwT9Znz56dJUuW8L///S+06CNEdJl9LtKihVpG0cLXXKRLl45169aRJEkSPD09qVXLhzt3YN8+cHdHchEhhNmK7iTt4W2XPn16/vjjD5o2bcqIESPiN7DY+vNP8PdXg/wXLKh3NCISCZKLODu/zyH0njvKxFKlSsX69etJnjw5jx8/pmrVZ5KLCCEsQlxykZQpU7Jy5UoaNGjA5MmT4zcwoTuDpoXX4cv89OjRA3d3dzZt2hSma5mTkxPJkiWL1jF8fHxwcnLC29tbevm8s3fvXqpUqYKdnR00baoGdOzSBX77Te/QhBAiXPv3q0kHw7OSFrRgNWtoRsZ9a6hWzZSRWS65PkaP2eciT56omYODg9Uk23nyxO/xE8iBAweoUKECDg4OeocihBDRElku8qF9+7CMXKRlS9VQYOBAmDJFlxAkF4meBMtFzp2DUqXUOGU3b0LOnAkQvfk6cuQIpUqVInny5HqHIoQQ0WJ1uYgZsJZcxGKKPYYIZspbsmQJ3377bbSOYS3/aAnm0CHeVqlC0qRJMd715NDldHh5qftGLi4yPq0QwjwYjarh6YMHYcenLcAVLlMYGzTqZDrPjgfFQ39v/fbbbzRq1IjMmTPrErO5k+tj9FhELlK7NuzZA+PHw5Ah8X98E3j79q3KRYxq2AHJRYQQ5iaiXCSEwaA6S9y+/f731pIlS6hZs6Z5zM/zIT8/yJgRXr+GEyegXDldwpBcJHoSNBepWRP27oUePWD27HiI1nJJLiKEMHexyUXc3d0pW7Ys+T8a7l4o1pKLWNQwbuE9opvQiMgFBATQe/VqaqdIQeDbt0zJP5/q1aFVK1UpzpVLdfoRQgi92drCjBnq+Yd/7w5lPDZobKQR3ea8L/SsWrWKbt26UaZMGby9vU0fsLAaFpGLhAzD4u4eftZvxoxGI0OGDKFSpUqsXOlHrlxILiKEMEsR5SIfvv5wMvdt27bRsWNHPv/8cx49emSyOKNl505V6MmeHcqW1TsaEYUEzUV+/FEtFyyAe/fifjwLFBwczLhx4/j8889ZscJHchEhhNmKaS5y8OBB2rZtS9myZbl9+7bJ4hSmZzHFHpGwPD09WbZ8OYd9fRkItPGZRRICQtc/eABubpLYCCHMg6urmig1ZALVPNykFe4AOE4eHjqu9oULF+jYsSMAbdu2xcnJSY9whTAdV1dImhQuXYLTp/WOJkYeP37MwoULOXPmDK1adcPTM2yxSnIRIYQ5+TgXCfHxZO43btygdevWaJpG8+bNza+X8bp1aunm9undIpG4VK+uHoGBMG6c3tHo4uXLl8ydO5fLly/Tpk07PD2Dw6yXXEQIYU6im4s8ePCAZs2aYTQaadCgAbly5TJ5rMJ0LGYYt/hgLd2xEsqGDZtwdW0MwDJgB3+wklah68PrAiiEEHoKGVoh++hO5N2/CK1uPQw7tgPw/PlzypUrx82bN6lTpw7bt2/HVn55hUuuj6ZjknPdurXq2dOtG8ydmzCfkUB2795LnTq1gWBgJtArzHrJRYQQ5iayYZ5ev37NF198waVLl/jiiy/Yv38/9vb2+gb8IX9/yJABXr2Co0fhiy90C0VyEdOJ9FwfPqz+E9vZwbVrkDu3PkHq6OjRE1SqVAUIAMYCw8Ksl1xECGFuIstF3r59S7Vq1Thx4gQlSpTg6NGjMj9ZBKwlF5GePSJUmjSNgOEAdAbqMAZ4XwvUNLh/X/0CEUIIc2BrC9Xy3CPv4aUAGEao32FBQUG0aNGCmzdvkitXLtzd3aXQIxKPd73ZcHeHN2/0jSWGkiSpAUx+96ofsC/MeslFhBDmxtZWTXzcsqVahqQbwcHBtG3blkuXLpEpUybWrVtnXoUegK1bVaHH2RnKl9c7GmEOKleGOnUgKAiGDtU7Gl0EBJQHQuYsGg5sCbNechEhhLmJKBfRNI3u3btz4sQJ0qRJg4eHhxR6EgEp9ohQXl4Ao7DnS/yBYVzh848Sm/fbCSGEmZg8Wf1BWqNGaIvU77//nt27d5M8eXI2bdpEunTpdA5SCBOqVk21xPXxgfXr9Y4mRlSO8R3QGjACzYBPx5SWXEQIYe7Gjh3Lhg0bsLe3Z8OGDWTNmlXvkD61ZIla/u9/YCO3BsQ7kyap7iurViXKiobKMToBPVCNX1sDlyPYTgghzNevv/7K77//jo2NDatXryZPnjx6hyRMQDI6ESpLFgAbAlhDFlLzEHhFB9RQKh9vJ4QQZsDLCxYuVM+Hq149r1+/ZseOHQAsW7aM4sWL6xWdEPqwsYH27dXzkJ8PC6FyDAOwAPgceAY0BgLD2U4IIcxTQEAAmzdvBmDu3Ll8oePwaBHy8oJ3+VLoNUMIgJIloXNn9bxvXzU+UCLyPseYDlQBXgGNgDcRbCeEEObHaDTi8W6CsalTp1K7dm2dIxKmIsUeEcrFRfXgNxgcSclycgATeU4O7gOqcU/27Go7IYQwC1OnqvHmK1WCqlUBSJkyJcePH8fd3Z2mTZvqHKAQOmnfXvXfP3gQLlzQO5poe5+LJAM2ArmBH4AkgOQiQgjLYG9vz8GDB1m2bBkdOnTQO5zwLV8OwcFQsSJ89pne0QhzM3YsODnB2bOwaJHe0ZjU+1wkCbAOyA8MBtTQR5KLCCEsga2tLbt27WLJkiX069dP73CECUmxR4SytYUZM9TzG4YGzKM6TdDoxSwMBvX+9OkyCaEQwkz89x/Mm6ee//gjxuD3vRAdHR1p2bKlToEJYQacncHVVT0PubhbgA9zEYPBGbgCtHz3Wr0vuYgQwlwZP+gBkTx5ctq0aaNjNJHQtPdDuEmvHhGeDBlg1Cj1fNAgePBA13BMKWwukgG4hJrVWHIRIYT5+zAXcXBw4Ntvv8UQ8stLJApS7BFhuLrCunWQLRvMYgAAXZhPnowXGT36YOh9IyGEiE9GI+zfDytXqmW0RouYPl1NPl+mDH5VquDi4sLPP/+MpmkJG6wQlqJ/f7X84w948kTfWGLgw1wE3k9mniXLQ4YP3yO5iBAiQcQqF/lAQEAAderU4aeffiI4ODjqHfR07BhcuQLJkkHz5npHI8xV795QvryaA7BrV1UkTCQizkWeMmTIdslFhBAJIq65iNFopEmTJgwaNChM0UckLlLsEZ9wdYU7d2DQX/XwzlaIh/jg8/oLpk37mitXrugdnhDCynh4QK5cUL06tGqllrlyqfcj9OIFzJwJQPDQoXzbvj3Hjh1j3LhxPH782BRhC2H+KlSAcuXUUIchveAsREgusm8fuLvDypV3MBjKMXVqI86cOaN3eEIIKxOrXOQDmqbRs2dP9u7dy5QpU7h7925Chht3v/6qli1agKOjvrEI82VrC4sXg709bNsGy5bpHZFJfZyLrF//iKRJyzNlSmMOHTqkd3hCCCsT11wE4Pvvv2fLli3MnDlT7t8mYlLsEeGytYVqNWxwGjOIPECBwEC8vb1p0KABz549i3O1WQghQCUubm7g6Rn2/QcP1PsRJjYzZ8KrV1CsGD+dO8eaNWtIkiQJHh4eZM6cOcHjFsIiGAwQMj7z7NmqJ5wFsbWFatWgZUtwc3OmWLFivHnzhoYNG/Lw4UPJRYQQ8SLWucgHpk+fzsKFC7GxsWHVqlXkzp07YYKND56eqssCQN+++sYizF/hwu+Hc+vZE65e1TUcU/swF2ncOCOff/45gYGBNGnShFu3bkkuIoSIF/GRiyxatIhp06YB8Pvvv1OkSJEEiFRYAoOWiMa78fHxwcnJCW9vbxylBVP0BARA7tz89/Ah5dOn5/bTpxQuXAVv7908ePC+O7OzsxrXVrozCyGiy2hULVU+Tmg+lC4drF6t/sgKHRf71SvImRNevGBVnz60fNc6ddGiReY7CbKZk+uj6Zj8XAcGQv78cPcu/PLL++KPBfL29qZixYpcvnyZvHk/x8/vIA8fJg9dL7mIECKmYp2LfGDbtm00bNgQTdP4+eef6R8yhKa5GjoUJkyAqlXV3WkzIbmI6cT4XBuNULu26uJSrBicOKGGAEyE3rx5Q9WqVTl16hTOzoUIDj7Gw4dOoeslFxFCxFR85CIHDhygVq1aBAUFMXLkSEaFFOlFjFhLLiI9e0Tk7O2hf38yAFtSpSJ5MkcuXz7Igwfdgfd1wphUm4UQAuDQocgTGoBnz6BWrY+6L8+ZAy9ecCJHDr797TcABg4cKIUeIcKTJAkMG6aeT5oEfn76xhMHTk5ObN26FUfH9Ny8eZqHD9sB7+fFkFxECBFTsc5F3rl48SItWrRA0zQ6d+5MP3MvqPv5wfz56rn06hHRZWur5v/LmBEuXoRu3RLV/D0fSp48OZs3byZt2mx4ev7Lw4ffAEGh6yUXEULEVFxzkRs3buDq6kpQUBDffPMNI0eOTLBYhWWQYo+IWpcu4OREkdu3qWzXD/XfZjEwNXSTkFyvXz/puiyEiB4vr+hvG/KH06aVb2DaNF4Ajby98ff35+uvv2bixIkJFqcQFq9dO9Ub7tGj9zf5LFSOHLlxcNiAmix5HTAidJ3kIkKImIpNLhJyk+XNmzd8/fXXvH79murVqzN79mwMBkPCBBpfFi9Wd4xy5YKvv9Y7GmFJsmRRE9fY2qq5e8aP1zsi3WTMmAU7uy1AcmAn0J+QhrCSiwghYiouuUhgYCCNGjXi+fPnlCtXjiVLlph/LiISnBR7RNQcHaF7dwBGvNoD/PJuxXogMHQzTYP791VVWgghopIlS/S3DfnD6VyP+fDff6TJnZtho0ZRqlQpVqxYgW14fZmFEIq9vRq2B2DiRPD11TeeODh0CP77rzKw4N07m4D3cxFJLiKEiInY5CIhN3GTJ0/OyJEjKVy4MOvWrSNJkiQJEmO8eftWDd8GMHhw+OPACBGZmjXVvJkAP/6oJqpJhA4dgidPSgErAAPwJ/AydL3kIkKImIhLLpIkSRJGjRpF/vz52bhxI8kS6RCbIiwp9ojo6dsXo509lThKRUoBi4C9wKd/1MSkKi2ESLxcXNS41tFteJJUe0PXl+968AwZQu9+/Thx4gSpUqVKuCCFsBbffgu5c6vePVOm6B1NrL3PMdoCy4DDqJa1EW0nhBARi2ku8vFN3G+//ZZz586RNm3ahAsyvixapJoEOzuDDH0rYqt7dwiZl6pNG9i4Uddw9PA+x2gCuAPHgDSRbCeEEBGLay7SrFkz/vnnH7LEpGokrJoUe0T0ZM7M4y/bAfADk4EOhL258r6VsPx+EUJEh62tmsAUopfYdGMO7jzmfroc6sY1mH8rWiHMhb09TJ6snk+eHPXA0GYqbI7RBnD64LXkIkKImIlpLqLM5MqVJ6GvLCIX+bBXz9Ch4OCgbzzCsk2Zogo9RiM0bw5btugdkUmFzTFaAOk/eC25iBAiZmKXi/zGpUvv/56ziFxEmIwUe0S0ZZoykGAMNGQrJTj37l0NGAWUBp6RPbuqSgshRHS4usK6dZAtW+TbpeA19oxkAFDTYCQgkU4KK0ScNG2qLtJ+fu+HdbMw4bd804BpQBHgoeQiQogYiW4uovwK9GHMmC/wtaQhMefMkV49Iv7Y2qr5n5o3h8BAaNIEfv9d76hMJuJW+POBz4DbkosIIWIkZrnIUqAbo0eX5/nz5wkcmbBEUuwR0WZb6DMeVPoGgB8Z++7dF8AS4BrQmMmT30Y4/LPRCPv3q6F99++XCQuFEIqrK9y5A3v2QESjoFSnI5PezcvRb+QQ7O3tTRegENbCYICff1bPly+HAwf0jScWwm/59gY1h89doCETJryOdCoKyUeEEB+LTi4Cm4F+APTq1YUUKVKYJri4evIERo9Wz0eNkl49In7Y2cGKFe97+LRvDz/9BMHBekeW4MLPRQKAucBDoD5jx76QXEQIESPRy0X2Ap0A6NixnWUMIytMToo9Ikay//YjmsGAG+spwiUgLbAdg8EROMz69W0whpOpeHhArlxQvTq0aqWWuXKp94UQwtZWzfm6YIH6o+nDlnLJ2MRO1gDwv9L16dGrp05RCmEFypSBLl3U886dVS8fC/Npy7cUwHZsbDIAZ1ixohmBgYHh7iv5iBAiIpHlImpOjhaARu3aXfjhh8H6BBkbw4eDjw+ULh06DK4Q8SJJEtWjZ9Ag9XrkSHWR9vbWNSxT+DQXsQe2YmvrDFxh4cJG+EWQY0kuIoSISOS5yHnUXGFBVKrUgvHjx4Z/EJHoSbFHxEyRIhjc3ADYW30s7u6wb18Rdu7cQJIkSVi3bh39+/dH+2CIJQ8PcHP7dHqABw/U+5LUCCFCfPqH01mMNCcQcE2aiqXHN+oXnBDWYvJkyJoVrl9XrXAtUEjLt337eJeL5OHQoS0kT56cP//8k06dOoXJRUDyESFE9Hyai1wBGgB+lC5dn23bZmGI/qD6+jp7Vt0xAtUVIbKuBkLEho2NyisWLFDzA27aBKVKWWTv4Zj6NBfJxqlT23FycuLQoUO0bt36k4awkosIIaLj01zkDlAP8KFw4Srs2bMEGxu5pS/CZ9A+/kvYivn4+ODk5IS3tzeOjo56h2O5LlyAEiVUifnSJShcGIBVq1bRsmVLACZOnMj333+P0ahaqUQ0D7TBoMa7vX1b/vYQQrxnNMKaNbfp3q0C3j5PqA7sWLYMhzZt9A7NKsn10XTM5lxv2gSNG6uL76FD8MUX+sUSj7Zt20ajRo0wGo0MGTKE8ePHA0g+IoSIMaMRNmx4SPfuFXn69C5ly5Zj3769ljN8W2AglCsH585BixZqvCgzZjbXx0Qgwc71yZPQrBncvate9+0L48aBpfzMxJP9+/fz5ZdfEhAQQI8ePZg1SxWIJRcRQsSU0Qhbtz6je/dKeHldpWjRohw6dIjUqVPrHZpVspZcRMqAIuaKF1eTMGqaSt7eadGiBT+/mwvghx9+4NKlSxw6FHEyA+oQ9++r+0xCCBHC1hZKlw4gtcGf4sCGggVxaN1a77CEsB6NGqmxQ4xGaNkSXrzQO6J48dVXXzF//nwAJkyYwNGjRwEkHxFCxJitLZQpE0DatA7kz5+fbdu2Wk6hB2DCBFXoSZsWpk/XOxqRGJQtqxqGdu6sXs+YAZ99BkuWJKpJaapVq8aKFSswGAzMmTOHnTt3ApKLCCFiztYWypULIGPGpDg7O7Njxw4p9Igo2ekdgLBQw4fDhg2wahWMGAEFCgDQv39/Hj9+TIECBShatGi0G5B5eSVgrEIIi1QgdWqOBgQA4DR2rBomQggRf+bOhRMn4OZN6NRJjRVgKUMTRaJDhw54eXmRKlUqKlasCEQ/z5B8RAjxoVy5cnHkyBFev35NhgwZ9A4n+s6fhzFj1PNZsyBTJn3jEYmHoyPMnw9Nm0L37qqbSocOqvAzbJgamygRdFtp1qwZXl5evHr1ii+//BKQXEQIETtZsmThwIEDPHnyBGdnZ73DERZA7pyJ2ClVCho2hOBgeDdESoiJEyfSvn17ALJkid7horudEMK6BQQEcOLECfVizBiy+vmRtVw59YehECJ+OTqqRhtJkqhB4idM0DuieDNs2DD69OkT+lryESFEdBmNxtBegQDp06cnV65c+gUUU97eaiitoCA1GkOLFnpHJBKjL7+Ef/+FqVPByUkVIJs3h4IFYc4c9f/UyvXp04dhw4aFzvEluYgQIro0TePw4cOhr52cnMifP7+OEQlLIsUeEXsjRqjlihVw5Uq4mxQo8AQHh9rApXDXGwyQPTu4uCRQjEIIi2E0GmnXrh0uLi6s+fVX+O03tWLSJKvobSCEWSpTBn79VT0fNgzWr9c3ngTw8uVLJk6sR8aMJyP8VSL5iBAC1M2V7t274+LiwuLFi/UOJ+Y0TfWiuH4dcuSABQskhxL6cXCAAQPgxg01MkiaNOp5z56qotG2LezcCe968luz169f8/PPjUiffr/kIkKISGmaxuDBg3FxcWHGjBl6hyMskBR7ROyVKQNff6169wwfHu4mgwZ9h7//HqAOcDvMupAkZ/r0RNGTWwgRCU3T6N27N6tWrQLAcf161SK1Xj2oVk3f4ISwdt26QUgvmDZt4MgRfeOJZ8OGDWPnzj/x86uHpv37yU0WyUeEECGGDh3KggULACxzYt4JE1RPzSRJYO1aSJdO74iEgPTp4aef4N49NZxb4cLg5wfLl0PdupAhg+qB9scf8PCh3tEmiPHjx7Nly2Z8fb9G005LLiKEiNCkSZOYOnUqYKG5iNCdFHtE3IwbpzKTdevg1KlPVv/6668UKVIE8MLWtjbwKHSds7PaTUZnEkKMGDGCuXPnYjAYWD5qFHUPHlS/W6xoWCkhzNq0aaq46ucH9euHe023VBMnTqRs2bK8evWMtGlrkynT3TDrJR8RQgBMnTqViRMnAjBv3jzc3Nx0jiiGli1TPTRB9dgsV07feIT4WMqUqnHJpUtw/LhqbJI5M/j4wOrV8L//QbZskD8/dOwI8+ap7Xx99Y48zkaMGEHVqlXx83uFo2NdMma8Gma95CJCCID58+czZMgQQOUlIVNkCBETBk3TNL2DMBUfHx+cnJzw9vaW6mh8atdO/XFRuzbs2vXJ6ocPH1KpUiXu3LlD3rwl+OGH/eTLlxoXF2m1IoSA6dOn079/fwDmzplDt/Xr4a+/VA+DZct0ji5xkOuj6Zj1uX7zRhV8Dh5UQ63s3Ally+odVbx4+vQpVapU4d9//yV//vxMmnSYt28zkiULko8IIVi8eDEdO3YEVIvawYMH6xxRDG3fDo0aqV7RgwbB5Ml6RxRjZn19tDJmda6Dg+Hvv2HjRti9G86dU+99yGBQBaCCBSFPHsibVy3z5FHDwTk6WsRwhT4+PlSvXp0zZ86QPXt2pk49gtGYXXIRIQQAa9eu5ZtvvkHTNIYOHcq4ceP0DinRMavrYxxIsUfE3Z078NlnEBgIe/ZAzZqfbHLjxg0qV67M48eP+eKLL9i1axcpU6Y0faxCCLOycOFCOnfuDMC4ceMYWqIENGgA9vZw9SpY0oTIFkyuj6Zj9uf61SuoU0e1pE2RAjZsUI05rICnpyeVKlXi3r17lChRgn379pEmTRq9wxJC6Gz16tW0atWK4OBgBg8ezKRJk/QOKWY2bVIT3wcEQMuWaj5VG8sbwMPsr49WxKzPtbe3Gk720CFV+Dl/Hry8It8naVLIlEk9MmdWwxc6OakikJNT2OfJk6vtkyZVcwqFPA952NklaOHov//+w8XFhatXr/LZZ59x8OBBMmXKlGCfJ4SwDNu2baNJkyYEBgbStWvX0FFPhGmZ9fUxBuz0DkBYgVy5VBfsmTNh6FB1g+ijX0r58uVj165dVKtWjWPHjtG9e3eWL1+uT7xCCLNx8uRJAAYOHMiQAQOgWDG1om9fKfQIoYdUqVQvXVdX1YDjq69g1izo0kXvyOLM2dmZPXv24OLiwvnz52nXrh2bN2/WOywhhM5Onz5NcHAwnTt3Dh3GzWK4u6tRFoKCwM0Nfv/dIgs9QoRyclLDydav//69x4/hwgW4cQNu3YKbN9Xy9m01BNzbt3D3rnrElcGgCj62turx4fOoHiH3QCJZZgB22dvjYm/PtWvXaJ4/P/sLFMAQ8nMbjWOEu/z4O0T03aL7fkJtK59nmmPI51nc5507fZrAwEBa5MvHbE3D0LNngn5erI9hYxO2UB7R86RJ3xfZU6dWyyRJwv9sEe+kZ4+IH48fq+7Uvr5qsNmmTcPd7OTJk3Tt2pUNGzaQM2dOEwcphDA3wcHBeHh40LRpUww//wwDB6pWedeuqeRAmIRcH03HYs51QIC6gbhqlXrdqZOaAyJZMn3jigeXLl3if//7H6tXr6ZAgQJ6hyOE0Jmmaaxfvx5XV1dsLKVQEhwMI0fC2LHqdatWsHSpujFtoSzm+mgFrOpcv3mj7kU8fgyPHqnl8+eqh5CPT9ilt7eam/Dt2/cPf3+V85jYTaAp8DtQ0uSfLoQwRx5AQ8BqSyLJkqnCT5o073tiZsmiHpkzQ86casjOTJl0G5rTWq6PUuwR8WfkSPjpJzV27uXLqqobjuDgYMv5Q0oIEe9Onz5NiRIlsPvwhsSTJ+rC7uMDixZBhw76BZgIyfXRdCzqXGsaTJqkeu1qGhQooG4mli+vd2RxJrmIEInbuXPnKFSoEA4R/L1i1v77D9q3h23b1OtBg2DCBIuf8MOiro8WTs71R4KDVdEnpAAUFARGo3p8+DyqB6h8Karlu+fBRqPKRaKzT2TLD0V0ey8+3jeXY1jqsSU+8z22TvFdevyY3GnSkMLe3izjC5fR+P735Ye/Nz9+7ef3vtD++nX4x4pIypSQL5+6P1S8OHz+uXpkzBiz48SCtVwfpdgj4s/r1+pG0MOHMHEifP99lLts3LiRTZs2sXDhQmwt/A8UIUTU9u7dS/369fnqq69YuXIl9iGJTZcusGCBuoj//bcMQWJicn00HYs817t3q14+Xl7qZ3PgQBg+XCXiVmD37t0sWrSIZcuWvf+dJISwWsePH6d27dpUrFiRDRs2kDx5cr1Dir4tW6BzZ9V7wd4efvsNvv1W76jihUVeHy2UnGvzc+TIEaZOncoff/xhWb+ThBCxcuHCBapVq0aRIkXYtm2bdf8uDgoK28Py+XPVE9PLSz0ePVL3kW/fhnv3VAE+PM7OUKmSmie+Zk3V0SCeWcv10XL7eQvzkzKlalXWrp0aUqBdO9UVLwKPHz+mVatW+Pn5ERQUxO+//y4FHyGs2L59+2jQoAH+/v4Yjcb3Ew6ePQsLF6rnM2ZIoUcIc1O7Nly6pObSWrECJk9WPXzGjFG98Cz42u3t7U3z5s15+fIlb9++Zc2aNVLwEcKKnThxgi+//JLXr19jDGlVbwlu3YJ+/VSxB6BIETVfT/HiuoYlhIg7Pz8/3NzcePToEY0aNWLz5s0ks4Jhc4UQ4bt48SI1a9bkxYsXBAUFvb8vYq3s7CBtWvWIir+/Kvpcvw5Xr6p7RadPq2H+PT1h9Wr1AFXsadoUmjdXjYat/TzGgIVkt8Ji/O9/UK6c6uUzbFikm2bKlIkVK1Zga2vLihUraN++PcaQ7s9CCKuyf/9+vvrqK/z8/KhXrx6rV68mSZIkqtVG9+6qm3CLFqqlhhDC/KRNC8uXw+bNqlv948eqR17hwqpY6++vd4Sx4uTkxOrVq3FwcGDTpk188803BAYG6h2WECIB/P3339SpUwcfHx+qVKnCpk2bSJo0qd5hRe7hQ+jfXxV3tmxRN0wGD4aTJ6XQI4SVSJYsGWvXriVFihTs2bOHRo0a4efnp3dYQogEcPHiRWrUqMHTp08pU6YMO3bsIFWqVHqHZT4cHKBgQWjYUI0m8ccfcOWK6hG0b5+aPqRyZZUP3boFU6ZA2bJqDvnRo1XeJKTYI+KZjQ1Mn66eL1kCZ85EurmrqyurV6/G1taW5cuX06FDByn4CGFlDhw4EFroqVu3Lh4eHu/HyP/tNzhxAlKlgqlT9Q1UCBG1hg3hn3/gl1/U5JrXrqkhhXLlUkO73bypd4QxVqdOHTZu3IiDgwMbN26Ugo8QVujkyZOhhR4XFxe2bdtGihQp9A4rYhcuqMYwefKov63evoUaNdT7kyapSY6FEFajcuXK7NixgxQpUrB7924aN24sBR8hrMylS5dCCz2ff/45u3btInXq1HqHZRlSpYJq1WDUKDh0CF68gLVrVa+e5MlVb6BRoyBnTvVeFPeirZ0Ue0T8++ILaNlStdTv2zfi8Rbfadq0KatWrcLW1pZly5bRsWNHKfgIYSUOHDhA/fr1efPmDXXr1mXDhg3vW9F6ecGQIer5+PGQLZt+gQohos/eXg0ndPcuTJumxk9+9EgN4ZovH1StqoZkvH1b70ijrW7dumzcuBF7e3s2bNhAixYtpOAjhJU4efIktWvXxtvbGxcXF7Zv305Kc5xz7NEjmDcPKlSAEiXUc39/1YJ1507YswcKFdI7SiFEAgn5/ZQiRQp27dpFkyZNePv2rd5hCSHiwceFnt27d5MmTRq9w7JcKVOCm5sa0u3JE9UDqHJlNT/Q2rVqWLfGjdUwcImQFHtEwpg0SVVXDx+G33+PcnM3NzdWrlyJra0tS5cuxd3dPeFjFEIkOKPRiKZp1KlTJ2yhB9SwJN7eUKaMar0qhLAsqVLBd9+p3jwrV0KdOmqs5IMHVTEoTx41zNCAAbBxIzx9qnfEkfqw4OPh4cFvv/2md0hCiHgQkotUrlzZvAo9/v7qb6WxY9UNiqxZVT504oQansTNTQ1ZcvDg+9+vQgirVqVKFbZv307y5MnZuXMn06ZN0zskIUQ8CA4OJjg4mNKlS0uhJ76lSAGtWqkeP+fPq+lFbGxg0yZV9OnaFZ490ztKkzJomqbpHYSp+Pj44OTkhLe3N46OjnqHY/2mTVNjLKZJo8ZYzJgxyl3WrFnDX3/9xdy5cy1nwlQhRKROnTpFkSJFwk40umMH1K+vLsKnTkGpUvoFKOT6aEJWf67v34d161RyfejQp717P/tMtVgvXlw9ihaFHDnUjU0zsX37dlauXMmSJUuwM6O4hBCxd+7cOfLmzavfuPhv38Lly+omxLlz6nHyJHw8TFP58qrI07ZttP52siZWf300I3Kuzd+BAweYNWsWK1aseD/8tRDCov3zzz9kyZKFtGnT6h2K9btyBX76STVIBDX/7LRp0K5dpI1nrOX6KMUekXCCglSL/fPnoU0bWLYsxocICAgAwN7ePr6jE0IkkO3bt5MjRw6KFi0a/gavXqmbvHfuqF4B0mJNd3J9NJ1Eda6fPVNDDx08qAo/ly+Hv52trRoKLnduNfdPjhzqJueHjwwZwMkJkiQx6VcA1SsgICAgbMFaCGHW9u3bR8qUKSlbtmzCfpCmqV7KT57Af/+9f3h6qqEsQx4PH6ptP5YxoxqDvlo1NSeas3PCxmvGEtX1UWdyri2Ppmm8efPGvOcaE0KEceLECd6+fUvVqlX1DiXxOnQIevSAS5fU66ZN1bzR6dKFu7m1XB+l2CMS1t9/q3GnNU2NM12zZrR3DQoKokWLFrx9+5Z169aFHf5JCGGW1q9fT4sWLUiXLh0nTpwgZ86cn27UpQssWKAmz7t0SY23KnQl10fTSdTn+ulTNVnmhQvvH1euqKGMosvBQQ0f5+iolqlSqd8hDg5hH/b2nz5PkkT1Jgx52NpG+ToY6Dh/PneePmXL99+TMqTg83GLsPh8HdN9IxNVmp+Q6/X8bFmfqP9tdl68SOM5c0iaJAnHfviBglmyhN0gOBgCA6P/8POD168/fbx6pR7RnWs0bVrVszHkUbYsFC4sw7O9k6ivjyYm59qyaJpGv379OH78OH/++acM/ySEBTh06BD169dH0zQOHTpEKRnJRD+BgaqB8fDhqlNC9uxqiPHSpT/Z1Fquj1LsEQmvVy+YPVtN2nzxIkSzaHPu3DkqVqyIn58ftWvXZsOGDdKSRQgz5u7uTtu2bTEajbRs2ZJly5Z9OgTS9u3w1Vfq+b59qiWr0J1cH01HzvVHgoPVpOQft4B/8iTs4+VLXcK7DpQBfICKwHbASZdIhBDRsRloBgQADYG1gEkGQEqVSvVAzJBB9dbJkkX1VgzpsZg7t1onhZ0IyfXRdORcWxZPT09KlizJs2fPKFmyJLt27SJDhgx6hyWEiMBff/3F119/zZs3b6hRowabN2+We5nm4MwZaNECrl+HZMlg8WL1+gPWcn20qGLPwYMHmTJlCqdPn8bLy4sNGzbQuHHjaO9vLf9oFsfbGwoVAi8vNYfPlCnR3vXAgQN89dVX+Pr6UrFiRbZu3SotWYQwQ3PnzqVnz55omsa3337LwoULsbW1DbvR8+dqfg4vLzV5+y+/6BKr+JRcH6NPchGdBAa+b0Uf8vDxUcvXr1XvoIAAtYzoeVCQKi4ZjWoZzecnX76kzsWLvAwKomSKFOwsWpSMHw8n93E6HV56HdU2sT1GVDeP9VxvzrEl9vXmHFss16/w9OTbc+cwahpuWbLwx+efYx/eHKAGg+rpF91H0qTvexGGPD58nS5dtBuziYjJ9TH6JBdJfC5dukTNmjV58uQJBQsWZNeuXWTPnl3vsIQQH9m4cSPffPMNAQEB1K1bFw8PDxkK2py8fAmtWqk5pAFmzIA+fUJXW8v1McazzrZr146OHTtSpUqVhIgnUr6+vpQoUYIOHTrg6upq8s8XseTkpMZE/Ppr1XWuYUOI5v+fqlWrsmfPHurVq8fRo0epVq0aO3fuJHPmzAkctBAiOjRNY8KECQwbNgyAnj178uuvv2IT3s2VXr1UoadgQRg/3sSRCmsiuUgilCSJGgJJhwlNywL7z5+nTp06nHvyBJcXL9i9ezc5cuQweSxCiPDNmjWL3r17A9C2bVsWLVr0ae9iIeKZXvmI5CKJT9GiRTl48CC1a9fmypUrVK5cmd27d/PZZ5/pHZoQ4p2lS5fSoUMHgoODcXV1xd3dHQcHk/QvFtGVOjVs2aLmjv71V+jbF168gJEj9Y4sXoVzNy5y3t7e1KpVi/z58zN+/HgePHiQEHGFq169eowdO5YmTZqY7DNFPGnYEDp2VC1Q27VTLXGjqUKFChw8eJDMmTNz4cIFXFxcuHPnTsLFKoSIktEI+/dDly4LQws9P/74IzNnzgy/0LNypXrY2sKyZarbrBCxJLmIMLUSJUpw+PBhcubMybVr16hUqRJXrlzROywhErWQXKRv3zWhhZ4+ffqwZMkSKfQIk9ArH5FcJHEqUKAAhw8f5rPPPuPevXu4uLhw7tw5vcMSIlELyUV++OFPvv32W4KDg2nfvj2rV6+WQo+5srWF6dPhp5/U61GjYOJEPSOKdzEu9mzcuJEHDx7QvXt3Vq9eTa5cuahXrx7r1q0jMDAwIWKMNX9/f3x8fMI8hI5+/lmNWX3njqqixkCxYsU4fPgwuXPn5sGDBya9sSeECMvDQ/0oV68OCxe2AMrh5DSNUqXGYAhv2JXr16FLF/V82DA1IbEQcSC5iNBD/vz5OXz4MIUKFeLx48fcu3dP75CESLQ+zEV+/fVroBqOjqOoUmV6+I1OhEgAlpKPSC5iPXLkyBE62fvTp0+5deuW3iEJkWh9mItMmlQT+IqUKftTv/5CaXRi7gwGGD4cJk9Wr4cMgblz9Y0pHsUqE86QIQPfffcd58+f58SJE+TLl482bdqQNWtW+vfvz/Xr1+M7zliZMGECTk5OoQ8Z01Rnjo7w++/qh2rhQtV1Lgby5s3L4cOH2bZtG5UqVUqYGIUQkfLwgKZNA/D0DJk3IhVwGB+f73BzU+vDePsWmjdXc2pUqaIuqELEA8lFhB6cnZ05ePAgW7ZsoU6dOnqHI0SipHKRQDw9g9+9kxTYxatXI2nWzPBpLiJEArKEfERyEeuSMWNG9u3bx8aNG2UYPyF0onIRI56eQe/eSQJs4PXraTRvbiO5iKUYNEg1SAbo2RP+/FPfeOJJnJo9eXl5sXv3bnbv3o2trS3169fn4sWLFC5cmF/MYOLtIUOG4O3tHfq4f/++3iGJqlXf9+pp3x48PWO0e9asWalevXro67Nnz7Jp06b4jFAIEQGjEXr1egZUByZ8sCZJ6Jzh/fqp7UINGADnzkH69ODuDtLCRcQzyUWEqaVPn54vv/wy9PWVK1dYuXKljhEJkXgYjdC79yvgK+CHD9ZEkosIYQLmnI9ILmJ9nJycaNiwYejrO3fusGTJEh0jEiLxMBqhTx8/wA3oCYQ0hE0CqJFOJBexIGPGqJFoNE1NP2IFYlzsCQwMZP369TRo0ICcOXOydu1a+vXrx8OHD1m6dCl79uxhzZo1/BQy9p2OHBwccHR0DPMQZmDsWChVCp49gxYtIJZd3B88eEC9evVwdXVl3rx58RykEOJja9fexcurMnAUmAr8F2a9psH9+3Do0Ls3li2DOXPU8+XLIVs2E0YrrJnkIsJcPH36lC+//JJWrVoxefJktJC7zUKIBLFp0yMePqwK7AbmAHfDrP8kFxEiAVlKPiK5iHV79eoVdevWpUOHDgwfPlxyESES2Natz3jwoBawEVgK/BtmveQiFsZggJkzVeeE16/1jiZexLjYkyVLFjp37kzOnDn5+++/OXXqFN26dQuTMFSvXp3UqVPHZ5zCmiRNCmvXqmHdjhyBH3+M1WEyZcpEw4YNCQ4Opnv37vz444+S2AiRQM6fP0/37l8AVwBn4BCQIdxtvbyAv/9+P0/P8OFQt65pAhWJguQiwlykTZuWpk2bAvD999/Tr18/goODo9hLCBEbV69epVu3L4CzqBxkP5Az3G29vEwXl0i8JB8R5iBlypS0aNECgLFjx9KpUyezmjNKCGty9+5devQIaQCbGtX4pHC420ouYkHs7WHdOsiRQ+9I4kWMx9P55ZdfaNasGUmTJo1wm9SpU3P79u04BRae169fc+PGjdDXt2/f5ty5c6RNm5YcVvIPkmjkzQuLF4Obm5oQq2JFaNQoRoews7Nj/vz5ODs7M2rUKMaNG8f9+/eZP38+Dg4OCRS4EInPrl27cHNz49WrV0ARYAcQ8VjfOe29oEkT8PeHr7+GUaNMFKlILCQXEebCxsaGn3/+GWdnZwYMGMCvv/6Kp6cny5cvJ3ny5HqHJ4TVOHToEI0bN+b58+dAXmDnu2X4smQxVWQiMdMrH5FcRHzIYDAwatQosmXLRrdu3Vi8eDEPHjxgzZo10otLiHh0+vRpGjZsiJeXF6oB7J+o+yPhk1zEwqRPr+5T16qldyRxZtAsqCvE/v37w8zXEqJdu3b8/vvvUe7v4+ODk5MT3t7ectEzF337wq+/QsqUcOwYFC0aq8MsWLCA7t27YzQaqVq1Kh4eHqRNmzaegxUi8fnwZ8vFpQo3b27EyysN4V05DAbIl/UNV7NWx3DybyhUCI4fV734hFmT62P0SS4iIrJy5Uq+/fZbAgICKFu2LJs3byZz5sx6hyWExfvwZ6tMmbI8eLCVR48yRpiLODvD7dtga2v6WEXsyfUx+iQXERHZsmULLVq04M2bNxQrVoytW7dKAVCIeLB582ZatmzJmzdvKFq0KE+f7uDxY2fJRayMtVwfYzyMm56qVauGpmmfPKKT0AgzNXUqVKumxkX8+mt4+jRWh+ncuTPbtm0jVapUHDhwgJEjR8ZvnEIkUjY2NhiNRtq0acPu3buYOTMNoBKYDxkMYKsFcSBLC1XoSZMGNm2SQo+wOpKLiIi0bNmSPXv2kC5dOk6ePMngwYP1DkkIq2BnZ0dAQACurq4cOLCfWbMyAuHnIgDTp8vNFWHdJBcREWnYsCEHDx4kc+bMXLx4kd69e+sdkhBWIUmSJLx9+5Yvv/ySw4cPM3u2MyC5iDBPFtWzJ66spUJndZ4+hXLlVNm7WjXYuVONlxgLFy9eZPjw4axYsYKUKVPGb5xCJFJ//fUXNWrUwPAuc/HwUJ3yPD3fb5PdWeNAoW7k3j1fzcu1Zw9UqqRTxCKm5PpoOnKurd+NGzf47rvvWLp0KWnSpNE7HCGswr59+6hatSo2NqqtYri5SHZ1c8XVVZ8YRdzI9dF05Fxbv/v379OjRw8WLFggvYyFiCcHDhygUqVK2NmpGVEkF7E+1nJ9lGKPMA///AMVKqgePq1awfLlYBP3jmeapnHgwAGqVasW9xiFSATu379Pnz59mD9/PhkyZIhwO6MRDh1Skw5myQJV/hqJzdifVFOW9evVnD3CYsj10XTkXCdO+/bto1q1aqFFcyFExB4/fkz37t2ZMWMG2bNHPEfgx7mIi4u0orVkcn00HTnXidP+/fupWrWq5CJCRMPz58/p2rUr48ePJ3/+/BFuJ7mIdbGW66NFDeMmrFiRIrB2LdjZgbs7DBoUL4edPHky1atX57vvviMoKChejimEtTp69ChlypRh48aNdOvWLdJtbW1VR7yWLaHakXGq0AMwc6YUeoQQ4gNz586lRo0adOnShYCAAL3DEcKsnTlzhjJlyrBhwwbat28f6bZhcpFqcnNFCCEi4u7uTvXq1WnVqhVv3rzROxwhzNrly5cpV64c69ato1WrVkTWR0JyEWGOpNgjzEfdurB4sXr+888weXKcD+nv7w/AL7/8wldffcWLFy/ifEwhrNHixYupVq0aT548oXjx4kybNi16O06ZAj/+qJ5PnAg9eyZckEIIYYHevn2LjY0NCxcupGbNmjx58kTvkIQwS2vWrKFy5cp4enpSoEABZs+erXdIQghhFd68eYOdnR2rVq2iSpUqeH447pQQItTWrVupUKECN2/eJGfOnCxcuFB6wwmLI8UeYV7atFE3jwG+/x5mzIjT4UaMGMHatWtJnjw5u3btonz58vz777/xEKgQ1sHfP4hmzfrTsWNHAgMDcXVtypEjR8iVK1fkO2oaTJgAIROQ//ST+pkVQggRRv/+/dm6dSuOjo4cPnyYMmXKcPbsWb3DEsJsBAYG07btcL755hv8/Pz48su6HD9+nAIFCugdmhBCWIVOnTqxZ88e0qVLx+nTpylTpgxHjx7VOywhzEZQkEbXrpP4+uuvefXqFS4uVTh58iQlSpTQOzQhYkyKPcL8DBwIw4ap5/36qWGh4sDNzY0jR46QI0cOrl+/Trly5Vi/fn3c4xTCwi1Z8h9OTrVZt276u3dGceLEGnbtShn5jpqmhlocOlS9HjkShg9PyFCFEMKi1atXjxMnTvDZZ59x//59KlasyLJly/QOSwjdLV/+EkfHhixfPvbdOwO5dGkre/em1jMsIYSwOlWrVuXkyZMUK1aMx48fU61aNebMmRPpEFVCJAbu7r44OjZn/vwf3v08dOPWrd0cOhTxHMZCmDMp9gjzNGYMDBminvfpA9Onx+lwJUuW5NSpU1SrVo3Xr1/TqlUr7t27F/c4hbBQHh7QoYM9/v4PgJTAemAkDx/a4Oam1ocrMBA6doSQYd5+/hlGjTJJzEIIYckKFizIiRMnqFevHm/fvqV9+/bS21gkah4e0LatA2/fPgSSAsuAKTx8aBt5LiKEECJWcufOzdGjR3FzcyMwMJCePXty6tQpvcMSQjceHtC6dRL8/LyAJMBcYC4PH9pLLiIslkFLRGV8Hx8fnJyc8Pb2xtHRUe9wRFQ0TfUcmDhRvR4yBMaNgziMlxkUFMTQoUPJlSsXPXr0iKdAhbAcmqZhNELu3AbUUM2XUXX/gqHbGAzg7Ay3b380weDz5+DmBvv2gY0NLFoE335r0vhFwpDro+nIuRbBwcGMGTOGpEmT8r0MfykSqaAg7YNc5BbgA5QMXR9hLiKsllwfTUfOtdA0jV9++YVnz54xbtw4vcMRQhdhc5GHwD2gQuh6yUUSH2u5PkqxR5g3TVPFnpDhojp0gN9+Azu7ePuIixcv4u3tTeXKlePtmEKYo9evX9OtWzfSpCnHrFl9otx+3z6oVu3di6tXoUEDuHEDUqaEVavgq68SNF5hOnJ9NB051yI8N27c4Pbt29SuXVvvUIRIUH5+fvTr14/AQGeWLIl6CNgwuYiwanJ9NB051yI8np6enDlzhq+//lrvUIRIUAEBAQwZMgRPTwNr1kyNcnvJRRIPa7k+yjBuwrwZDKpHz4IFqifB4sVQr57qYRAPXr58SZMmTahWrRoTJkwgODg4Xo4rhLk5f/48n3/+OX/88Qe//fY98CjKfby83j1ZvRrKlFGFnpw54ehRKfQIIUQ88fX1xdXVlS+//JIff/yRoKAgvUMSIkFcvXqVChUqMH/+fJYuHY3q0RO50FxECCFEgvH398fNzY1GjRrRr18/AgIC9A5JiARx+/ZtXFxc+Pnnn1mzZhpwMcp9JBcRlkaKPcIydOoEGzZAihSwZw+UKwf//BPnw9rZ2fHFF19gNBoZOnQo9erV48mTJ/EQsBDmQdM0fvvtN8qXL8+1a9dwdnZm2rTdQOYo982W7i306AEtWsDr11ClCvz9NxQrlvCBCyFEImFjY0PFihXRNI1x48ZRo0YNPNV4EkJYjRUrVvD5559z4cIFMmbMyKRJO4A8Ue6XJUvCxyaEEImdwWCgUqVKAMyYMYNKlSpx61bUBXkhLImHhwelSpXi77//JnXq1IwZsxGI+t6G5CLC0kixR1iOr79WPQpy5YKbN6FCBVi+PE6HTJkyJcuWLWPRokUkS5aMXbt2UbJkSfbt28S0HIkAAFyXSURBVBc/MQuhI29vb1q0aEG3bt3w9/fnq6++4uzZs/ToURln54invzIYoEHGv3HpVxrmzlVvDhsGf/0FGTOa7gsIIUQikCxZMubNm8fKlStJlSoVhw4domTJkmzfvl3v0ISIM19fXzp06ECbNm3w9fWlevXqnDt3jv79a0eZi2TPDi4upo1XCCESI3t7e6ZNm8bmzZtJkyYNp06dolSpUqxdu1bv0ISIs7dv39K7d2+aNm2Kt7c3FSpU4Ny5cwwZ0khyEWGVpNgjLEvx4nDyJFSvrnoatG0L//sf+PjE+pAGg4EOHTpw8uRJChcujJeXFzVr1uSHH36QoVSExQoICKBcuXKsWbMGOzs7pk6dyubNm0mfPj22tjBjhtru48QmKW+ZoP3A5qdfYPj3X8iUCXbsgLFj43WuLCGEEGG1aNGCM2fOULp0aZ49e8ZXX31Fnz598Pf31zs0IWIlODiYKlWqsGTJEmxsbBg9ejS7d+8mS5YskeYiIa+nT5cJkYUQwpQaNmzIuXPnqFixIj4+PjRv3pyOHTvi6+urd2hCxIqmadStW5dZs2YBMHjwYA4ePEjOnDklFxFWS4o9wvKkTw+7d8NPP6nfun/8AaVKweHDcTpskSJF+Pvvv+nYsSOapnH+/Hls5be6sFD29vZ06tSJ3Llzc+jQIQYMGICNzftf+a6usG4dZMv2fp96bOeSXQm+ZxKG4GBVSL18GerW1eEbCCFE4pMvXz6OHj1Knz59ADh79ix2UmgXFsrGxoauXbuSLVs29uzZw4gRI8Lk1uHlIgDOzup9V1cTByyEEIIcOXKwf/9+hgwZgsFg4MyZM5KLCItlMBjo3r07GTJkYNu2bUyaNIkkSZKErpdcRFgjg6Zpmt5BmIqPjw9OTk54e3vj6OiodzgiPhw9Cq1awd276nWXLjBxIqRJE6fDbty4kQoVKpA5s5rXxN/fH3t7ewwR9e8Uwgxcu3aNt2/fUrx4cUC1qPX19SVVqlQR7mM0wuk/ruD8c3+ynv9TvZk5M/z2mxo6USQKcn00HTnXIrr+/PNPChYsSK5cuQDVY9POzi5M4V4Ic3P37l3+++8/ypQpA6gWta9evYr0953RCIcOqQmQs2RRw6VIe6vER66PpiPnWkTXgQMHyJgxI4UKFQIIHflEij/CnHl5eXH79m0qVqwY+p63tzdOTk4R7iO5iADruT7KX4vCslWsCOfOQadO6vX8+VCoELi7Q3BwrA/buHHj0EIPQPfu3alfv75MmCzMUnBwMDNnzqRUqVI0b96cN2/eAKpFbWSFHu7cwbZbZ8p1LKYKPUmSwODBcPWqFHqEEEJndevWDS30AHz//ffUqFFDJkwWZknTNBYtWkTx4sVxdXXl5cuXgGpRG9Ufy7a2UK0atGyplnJzRQghzEPVqlVDCz0AY8eOpVKlSvz77786RiVE+DRNY+XKlRQtWpTGjRvz+PHj0HWRFXpAchFhXaTYIyxf6tSwYAEcOAAFC8Ljx9C6NZQvD/v2xfnwt27dwt3dnT///JOiRYuyZMkSElGHOGHmbt26RY0aNejTpw9v3rwhW7ZsvH79OqqdVC+4/Plh4UIICoIGDeCff2DSJLDgFgxCCGGNHj16xMKFCzlw4ADFixdn9uzZBMehUYsQ8cnT05P69evTqVMnfHx8cHZ25tWrV3qHJYQQIh55e3sza9Ys/v77b0qVKsWUKVMwGo16hyUEAE+ePMHNzY1WrVrx/PlznJ2do74vIoSVkmKPsB5VqqhePmPHQsqUcOoU1KgB9evDiROxPmyePHk4d+4c5cuXx9vbmw4dOtCgQQMePHgQf7ELEUPBwcHMnj2b4sWLc+DAAVKkSMHs2bPZvXs3GTNm/HQHTYO//oJGjSBfPlUgDQqC2rXVfFdbtqjijxBCCLOTOXNmzp8/T9WqVfH19aVXr17UqlWLO3fu6B2aSMQ0TWPJkiUULVqUP//8EwcHB6ZMmcKhQ4fInj273uEJIYSIR05OTpw7d466devi7+/P4MGDcXFx4erVq3qHJhK5NWvWULhwYTw8PLCzs2P06NGcOHGCvHnz6h2aELqQYo+wLg4OMGwY3LwJPXuCnR3s2AEVKkD16rBzp7rpHUMFCxbk8OHDTJo0CXt7e7Zv306RIkVYsGCBtKwVJufj40ONGjXo1asXvr6+VK1alQsXLtCjR49P53J4+BCmToWiRaFWLdi8Wf0M1K2rijy7dkGlSvp8ESGEENGWJ08e9u7dy8yZM0mePDn79u2jaNGizJgxQ1rWCpN7+/Yt9evXp0OHDnh7e1O+fHnOnTvHwIEDsZWxT4QQwio5Ozuzfft2Fi1ahKOjI8eOHaNkyZJMnDiRwMBAvcMTiUxQUBBNmzblm2++4dmzZxQvXpyTJ08yYsQIkiRJond4QuhGij3COmXMCLNmweXL8O23quizf7+6wV2sGMycCS9exOiQdnZ2DB48mLNnz1K2bFm8vb0ZOXJknLuGGo0qtJUr1VLu14iopEqVCgcHB5InT87MmTPZu3cvefLkeb+Btzf88Yf6/549OwwapH4WUqSAHj3g339VEVSKPEIIYVFsbGzo1asXFy5cwMXFBV9fX0aPHs3z58/jdFzJRURMJU2alFSpUmFvb8+kSZM4fPgwBQsW1DssIYQQCcxgMNChQwcuXbpEnTp1ePv2LWPGjMHLyytOx5VcRMSUnZ0dadOmxc7OjhEjRnDy5ElKliypd1hC6M6gJaLJR3x8fHBycsLb2zvKiUKFlbl/H375BebPB19f9V6yZNCsmZqBrWZNNTl9NAUFBTFr1ixy5cpF48aNATWURWBgIPb29tE+jocH9O0Lnp7v33N2hhkzwNU12ocRicDRo0cpVKgQadKkAeDevXsYjUZy586tNrhzRw3Ftnmzyo6Dgt7vXKkStGkD33yj5rgS4iNyfTQdOdcivgQHB7NgwQJSpkxJ69atQ9/39/fHwcEh2seRXERE15kzZ8iaNSuZM2cG1FxS3t7eFChQQOfIhDWQ66PpyLkW8UXTNFasWMHbt2/p3Llz6PuSi4iE8s8//5AyZUpy5swJwIsXL7h//z7FixfXOTJhDazl+ig9e0TikD07/PwzPHigevwUKwZ+frBsGdSrB5kzQ6dOapi3t2+jPJydnR39+vULLfQALF++nKJFi7Jz585oheThAW5uYRMaUCG6uan1Qjx58oSOHTtSqVIlfvjhh9D3c9jakvvoUejcWc3Bkzs39OkDe/aoQk+hQjBiBFy/roZr69pVCj1CCGFFbGxs6Nq1a5hCz6ZNmyhQoAAbN24kOu25JBcR0fHixQt69epF2bJl6devX+j7mTNnlkKPEEIkYgaDgTZt2oQp9Ozbt4+8efOycuVKyUVEvHn16hWDBg2iZMmSdOvWLfT/Vpo0aaTQI8RHpNgjEhcnJzWXz/nzcOyYep4pEzx/DosWqWGv0qaF+vVVM5IrV6I1x09wcDBTpkzh+vXr1K1blyZNmkQ6abLRqFquhHfokPf69ZOuy4lZSO+xAgUKsHjxYgCM584R3KIF5M2rmjr973+wcKGao8rGBqpUgWnT4No1NWzb6NGqECSEEMLqaZrG5MmTuXv3Lk2aNKF+/fpcu3Ytwu0lFxFRCQ4OZtGiRXz22WfMnj2b4OBgDAaDzMsghBAiQlOmTOHBgwe0atWK6tWrc+nSpQi3lVxEREXTNNzd3SlQoABTp04lKCgIBwcH3rx5o3doQpgtKfaIxMlggAoVVC+fBw9g717o1g2yZFE9fnbsUFlFoUJq/p+vv4YJE9TwWCHDwH3AxsaGw4cP079/f2xtbdm4cSOFChVizJgx+Pn5fbL9oUOftlz5kKapkecOHYq/rywswKtX8PffHBo6lDLZstG7d29evnxJKeAIsPDvv7FZvRpu3VLFnTJlYOBA2LZNzUF14AB89x3kz6/3NxFCCGFiBoOBXbt2MXToUOzt7fnzzz8pVqwYQ4cODXd+QclFRGROnjzJF198QadOnXj69CmFCxfmr7/+YuXKlTLpsRBCiAh5eHgwZswYkiVLxoEDByhZsiT9+/fn5cuXn2wruYiIzIULF6hWrRqtW7fGy8uLvHnzsnXrVjZu3EiKFCn0Dk8IsyVz9gjxIU2DixfVcG47d6rhr/z9w25jMKjeEsWKQfHialm4sBpGy8GBf/75h169erF//34AsmfPzsKFC6lTp07oIVauhFatog7H3V1NKSSsxOvXKlu9e1c97tx5v7xzB7y8WAx0fLd5GmAc0AWwzZFDFXdCHuXKqZ5qQsQDuT6ajpxrYQrXr1+nb9++7NixA1DDbc2dOzfM8LOSi4iIrF+/Hjc3NwBSpUrFqFGj6N27txR5RIKS66PpyLkWpnD37l2+++47PN6Nw5YuXTpmzJgRZvhZyUVERHbt2kW9evUIDg4mWbJkDBs2jAEDBpA0aVK9QxNWzFquj3Z6ByCEWTEYVAGneHEYNEgVes6eVUO+HTsGR4+qnkDXr6vHhwPIGgzg7EyRvHnZmycPqzNlYvDu3dy/fx+nFy/AxwdSpQKDgSxZohdOdLcTOggKAm9vePlS9aoJWT55Ao8fh/+IRlfjxhky8P3Ll7jmz8+4Nm1IX7YsFC2qhhsUQgghoiF//vxs27aNzZs3M2DAAG7evPlJC0jJRUREvvzyS7JmzUqtWrWYOHEiWeQ/gRBCiBjKmTMn69evZ9euXfTr149///0XBweHMNtILiIiUrVqVXLnzk3p0qWZMmUKOXPm1DskISyG9OwRIqYeP1a9fy5cUMuLF+HqVdVr4yN+wJ9Ak5A3UqTg95QpKZ0pM4+vZefB23Q8Jy3PUMvnpOUFaXhNKlJkSsmfh1Ni65QSUqaEpElVQUlEn6ZBYKAq2vn7Q0CAWvr6vn+8fh32dUSPly/DFnZevYpdTI6OkDMn5MzJm2zZmHX/Pn8/e8baGTMwfPYZpEmDj4+P/I4SJiXXR9ORcy1MLSAggC1bttC0adPQ99zd3cmXrwBNm37Ogwfhj5X/rg0Lt2+Dra0JAxYm5e/vz2+//cbOnTvZsmULNjZqlG/JRYSpyfXRdORcC1MLCgpiw4YNuLm5YXh3T8PDw4P06TPRunUlyUUSucDAQJYsWcKaNWvYsWNHaE9iyUWEqVnL9VGKPULEB02D//6DGzfg5k31uHULHj58//D25j6QDwgEWgKj372OFhsbVfRJmRKSJwd7e3BwCPuI6D07O5UdhTxsbCJ/HfLeuz/4QzOv8JaRrQtZBgerWRWDgsJfRrbu421CijchhZsPHx+/FxAQy3/QGEiRAtKkQUudGm9Dal4lzYBNlkxkKZkZmyyZVI+cDx8pUxIQEMCCBQsYO3Ysjx49AlQ35dq1ayd8vEKEQ66PpiPnWujt6dOn5M6dm9evX1O+vCsnTozBYCgc5iZLSNuSdevA1VWfOEXMGY1qXgMvL9UK2sUl4ptjQUFBLF26lNGjR3P//n0A1q5dGzp8mxCmJtdH05FzLfT26tUr8ubNy3///Ufp0vU5c2YsBkMpyUWsQExyEaPRyKpVqxg5ciQ3b94EYOHChXTs2DH8HYRIYNZyfZRh3ISIDwYDZMyoHhUrhr+Nry/BJ0/SaPRo1u7fjzuw2mBDBduiNAgqxGcEkJbnZEzyghzpfEmpvX7f6wRUwcTHRz1ErATb2KLZO2CTKgWGFClUoSa8R/LkYV+nTAmpU6tHmjTvl05OkCQJHh7Qt2/YySWdz8CMGeDa5P17gYGBrFiyhJ9++ok7d+4AkCtXLkaOHEmNGjVMeCaEEEIkVoGBgTRu3Jg//viDEyc8MBg2kCzZ/3jzZgQhTVCcnWH6dLm5Ep9icvMjNsLNRZzf5SIf/DsajUbWrFnDyJEjuX79OgBZs2ZlxIgRNGrUKP4CEkIIISIQEBBA48aNWbx4MWfObAe2kzRpM/z8RgGFAclFEoK55CLBwcFs2rSJ4cOH888//wCQMWNGhg4dGmZOJyFE7EjPHiF0cObMGYYPH8727dsBsLW1o3LlNvTuPY7GjbOEveAGB78fbizk8eZN9Hu3+Pu/7xljNL7vZRPZeyGvg4PfN6mJbBnVNjY273sXfdjL6OP3orNNkiTh92KK4PWWXQ58N8SBWw/sCUad2A8TjrgmPB4e4Ob2abfzj1si3bp1i5o1a4YWebJkycKPP/5Ip06dsLe3j/4HCpEA5PpoOnKuhbm4dOkSI0aMYMOGDQDY2NhQoUILevceT7NmOWW4lHgU1c0PU+Uijx49omrVqly7dg2A9OnTM2TIELp3706yZMni+C2FiBu5PpqOnGthLq5fv87IkSNZtWoVmqZhMBgoW9aV3r0n0LJlfslF4pG55CLe3t5UrlyZS5cuAZA6dWoGDRpEnz59SJkyZRy/pRBxYy3XRyn2CBELcb0Qhuy/f/8RNm8ewdmze0mePDl37twhQ4YM8fIZIuqEY+BAWLky6pYnETEaIVeusPuHpZE9u4HbtwGMFC5cmJcvXzJw4EB69uxJ8uTJY/ydhEgIcn00HTnXIr7EVy5y5MgptmwZyYkT27Gzs+PGjRuhk+BKLhJ35pSL2NholC1bltu3b9O/f3/69u1LqlSpYvGthIh/cn00HTnXIr7EVy5y4sRFtm0byaFDqgHKP//8Q+HChePlM4R55SK2tlCzZk1OnTpF7969GThwIKlTp475lxIiAVjN9VFLRLy9vTVA8/b21jsUYcHWr9c0Z+eQyWrUw9lZvR/b/TNkOKb17Lk4zDYpUw7UYLcGwTH+DKFpQUGfnufoPAwG9YjOud63L6LjPNRgqAYFNfDT9u1T21++fFnz9fVNyK8tRKzI9dF05FyL+JAQuUjGjKe1Ll3mhtkmVaofNdimgVFykVjQNxd5osFoDfJp8DI0F7l69arm4+OTkF9biFiR66PpyLkW8SEhcpFMmS5pHTrMCLONo+MYDTw0CJJcJBb0zUWeazBBgzwaPArNRW7cuKG9ePEiAb+1ELFjLddH6dkjRAxEt2tqXPYHaNr0OPDFu7XFge+AFhgMDjJBYTTt3w/Vq8duX4NBtWQJaXkSkZUroVWrD9+5APwMuAOB795bjrv7/2jZMnaxCGEKcn00HTnXIq5Ml4tcBoq8W1sQ6A+0wWBIJrlINOmTi/wLTAeWAW/fvTcLd/eekosIsybXR9ORcy3iynS5yD0gD2B8t+wHtMdgSCm5SDTpk4vcROUii4E3794bh7v7UMlFhFmzluujjd4BCGEpjEY1xml45dGQ9/r1U9vFdv++faFPH4CsQG8gBaqA8C2QHU0bQq9etyP8DPGel1fs99U0uH9fdRePTJYsAP6o4o4LUAJYiir0VAY8gJbvthNCCCHixrS5SBpgAOAIXAG6AtnQtO/o2fOa5CLRYLpcJBBYD9RCTWw9H1XoKQOsBLpILiKEECJemDYXSQ58j8pJbgF9ULlIL3r0uCS5SDSYLhcxAluA+kB+YBaq0FMcdY9kgOQiQpiIFHuEiKZDhyIbgzTqC2F09vf0hAcPAHIAvwL3gUlANuA/YCJeXnmZN+9Y7L5EIhIfiURUiZGLC2TKdBdoDRwGbIHmwAngEAZDE7Jnt8XFJe6xCCGEEKbNRbIAU1G5yC9ALuAF8AuPHhVg2rSdsfoOiYmpcpEsWf4DvgH+AgxAI+Ag8DcGQwuyZ08iuYgQQoh4YdpcJD0wDpWLzEEVEXyA2Tx+XIzRo1fH7kskIqbKRbJm9UHlIjsADagH7AHOYTC0JXt2B8lFhDARKfYIEU3RbRER0Xaxa1GRBhgM3EH1EqkNZCd16nKhW2zbto2LFy/G5uBWzcVFdTkO6QoeGx8nRj4+PixatIjhw4cDqivznDmfAW2B0cA9YDVQLvRzp0+XCSSFEELED31yEUfUsCk3gK3AV0AGMmWqGrrFrl27OH36NIlodOhoSYhcxNfXl+XLlzNo0CBA5RizZmUFugDDgNvARsAFw7sPllxECCFEfNEnF0kBdEf1NN4FNAEcyZmzbugW+/fv5/jx45KLfCQhchE/Pz9WrVpFr169AJVjzJyZBugJDASuA9uBmpKLCKEDKfYIEU3RbRER0XZxa1Fhh0podgGXyJZNXSWDgoLo3LkzxYsXp3Tp0vzyyy94RtZMJhGxtYUZM9TzmCY2BgNkz64So4CAALZt28b//vc/MmfOTKdOnZg4cSJPnjwB1DjB69cvxdl5BGr4PcXZOeqxioUQQoiY0DcXsUUVerYCN8mZMykAmqbRq1cvypQpQ7FixZg8eTJ37tyJywdZjfjKRQIDA9m1axft27cnc+bMtG3blqlTp3L79m0gJBeZg7PzWCBn6DEkFxFCCBHf9M1FbFANYD0AT/LmdQpdM2jQIL744gsKFizIuHHjuH79elw+yGrEVy5iNBrZt28fXbt2JUuWLLRs2ZLZs2dz/vx5ICQXmYKz8xQgX+gxJBcRwvQMWiIqe1vLREtCH0Yj5MqluhOH91MT1eR10dk/Wza17uHD6H3Gf//9R9euXdm6dSuBgYGh21WqVIlmzZrh5uZGtmzZYv2drYGHhxrz98MaWPbs0KIFTJ2qXn94rkMSoPHjT3D16jw2btzIy5cvQ9cXLFiQdu3a0bVrV9KkSRP6vtGouqR7eakE1sVFWq4IyyHXR9ORcy3iwhxzkVevXtG5c2c2btyIv79/6HblypWjWbNmNGvWjJw5c356oEQktrnI5MlnuXZtLh4eHjx79ix0fd68eWnbti3dunUjY8aMoe9LLiIsmVwfTUfOtYgLc8xF/P396dy5M+vXr+fNmzeh25UqVYpmzZrRvHlz8ubNG+vvbA1im4v88stlrl2bzfr163n8+HHo+hw5ctCmTRu6d+8e5p6T5CLCklnL9VGKPULEgIcHuLmp5+FdCKNqsRCd/SHmn/H06VNWrVrF6tWrOXz4cOj73333HdOmTQMgODgYg8EQ2o02MYko4Qib8DwD7Mie3Ynp0+HJk3l0794dgMyZM+Pm5kabNm0oW7ZsojyHwrrJ9dF05FyLuDLXXOTly5esWbOGVatWceDAAYKDgwHo2LEjCxcuBAh9z8Ym8Q0uEL1c5CUQTPbsaZk+HQICVtGyZUsAMmTIgKurK//73/+oVKmS5CLC6sj10XTkXIu4Mtdc5NWrV6xbt45Vq1bx119/YTQa3x3HjbVr1747lkZwcDC2ibACEb1c5BXwluzZMzB9OiRLtoP69esDkCZNGpo0aULr1q2pVq1aosznhHWzmuujloh4e3trgObt7a13KMKCrV+vac7OmqZSDvXInl29H1/7R7TNmjWatm+fprm7q2VQ0KfH9/T01GbMmKFVqlRJO378eOj727Zt05ydnbUuXbpoa9as0f777784nQdLFxgYqB07dkz76aexWrFilTWDwUbr3fvX0HP6+PFjrWfPntqBAwe0oPBOtBBWRK6PpiPnWsQHc89FHj16pM2ZM0erVq2atmvXrtD3jxw5omXOnFnr0KGD5u7urnl5ecXpPFi6oKAg7eTJk9r48RO1UqWqa7a2dlqHDmNCz+mrV6+0bt26aXv27NECAwP1DVaIBCbXR9ORcy3ig7nnIv/995+2YMECrXbt2tq6detC37906ZKWPn16rU2bNtrSpUs1T0/POJ0HS2c0GrUzZ85okydP1cqUqa3Z2ibRvvlmYOg59ff317p166bt2LFDCwgI0DdYIRKYtVwfpWePELEQ166p0dn/422ePoX+/cN2u3V2VuOvRmf80169ejF79uww75UoUYKaNWtSpUoVatasScqUKaP/JSyQr68v8+fPZ+/evRw4cIBXr16FWd+1a1fmzZunU3RC6Eeuj6Yj51rEF0vMRX788UfGjRsX5r0iRYqE5iK1atXCyckpgr2tg7+/f2gusn///jBDxQK0aNGClStX6hOcEDqS66PpyLkW8cUSc5EpU6YwePDgMO8VKFCAmjVrUrVqVWrVqkXatGmj/yUsUHBwML/99ht79+5l3759YYaKBahXrx7bt2/XKToh9GMt10eLK/bMnj2bKVOm8OjRI0qUKMH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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# มีจำนวนข้อมูลแค่ 25 จุด\n", "num_samples = 25\n", "w = [0, 0, 1] # กำหนดให้สมการที่ถูกต้องคือ y = x^2\n", "\n", "# สุ่มข้อมูลมาสำหรับใช้ fit โมเดล\n", "x_train = 4*np.random.rand(num_samples,1) - 2\n", "y_train = generate_sample_poly(x_train, w, include_noise=True, noise_level=0.2)\n", "\n", "# สร้างข้อมูลที่ไม่มีสัญญาณรบกวนมาเปรียบเทียบ\n", "x_whole_line = np.linspace(-2, 2, 100)\n", "y_true_whole_line = generate_sample_poly(x_whole_line, w, include_noise=False)\n", "\n", "# สร้างข้อมูลสำหรับใช้ทดสอบ\n", "x_test = np.reshape(np.linspace(-3, 3, 1000), (-1, 1))\n", "y_test = generate_sample_poly(x_test, w, include_noise=True)\n", "\n", "# ทดลองปรับค่า lambda ดู\n", "lambda_list = [0, 1e-2, 1e-1, 1, 1e6, 1e8]\n", "\n", "# กำหนดให้ใช้ polynomial ที่มี order = 15\n", "poly_order = 15\n", "\n", "fig, ax = plt.subplots(2, 3, figsize=(20, 12))\n", "fig_row, fig_col = 0, 0\n", "\n", "for idx, curr_lambda in enumerate(lambda_list):\n", "\n", " # fit โมเดล ที่มี L2 regularization และให้โมเดลทำนายค่า y ออกมา\n", " if curr_lambda == 0:\n", "\n", " # ถ้าไม่มี regularization จะเรียกใช้ฟังก์ชันเดิม\n", " curr_outputs = fit_and_predict_polynomial(x_train,\n", " y_train,\n", " poly_order,\n", " {'test': x_test},\n", " {'test': y_test})\n", " else:\n", " # ถ้ามี regularization จะใช้ฟังก์ชันใหม่\n", " curr_outputs = fit_and_predict_polynomial_ridge(x_train,\n", " y_train,\n", " poly_order,\n", " curr_lambda,\n", " {'test': x_test},\n", " {'test': y_test})\n", "\n", " x_test = curr_outputs[0]['test']\n", " y_hat_test = curr_outputs[1]['test']\n", " term2_val = norm(curr_outputs[4],ord=2)**(2) # Compute the squared L2 norm of the model's coefficients\n", "\n", " # แสดงผลการทำนาย\n", " if idx % 3 == 0 and idx != 0:\n", " fig_col = 0\n", " fig_row += 1\n", "\n", " ax[fig_row, fig_col].scatter(x_train, y_train, c='b', label='Observed')\n", " ax[fig_row, fig_col].plot(x_test, y_hat_test, c='r', label='Predicted (poly order = 15)')\n", " ax[fig_row, fig_col].plot(x_whole_line, y_true_whole_line,'k--', label='True')\n", " ax[fig_row, fig_col].set(xlabel='x', ylabel='y')\n", " ax[fig_row, fig_col].legend()\n", " ax[fig_row, fig_col].set_ylim(-3, 5)\n", " ax[fig_row, fig_col].set_xlim(-2, 2)\n", " ax[fig_row, fig_col].set_title(f\"Lambda = {curr_lambda}, the value of the reg term = {term2_val:0.7f}\")\n", "\n", " fig_col += 1\n", " \n", "plt.show()" ] }, { "attachments": {}, "cell_type": "markdown", "metadata": { "id": "KqgtETi0du0y" }, "source": [ "จากการทดสอบด้านบน สังเกตได้ว่า\n", "\n", "\n", "* ถ้ากำหนดให้ $λ=0$ จะทำให้เกิดปัญหา overfitting โดยสิ่งที่โมเดลทำนาย จะ fit กับ training data (จุดสีน้ำเงิน) ได้ค่อนข้างดี ในขณะที่โมเดลไม่สามารถทำนายในบริเวณที่อยู่นอก training data ได้อย่างแม่นยำ สังเกตได้จากเส้นสีแดงมีค่าที่เปลี่ยนไปอย่างรวดเร็ว (แกว่งไปมา) และมีหน้าตาที่แตกต่างจากความสัมพันธ์ที่แท้จริง (เส้นประสีดำ) เป็นอย่างมาก\n", "\n", "* การกำหนดให้ค่า $λ > 0$ ส่งผลให้เส้นสีแดงเริ่มแกว่งตัวน้อยลง\n", "\n", "\n", "* การเพิ่มค่า $λ$ ให้สูงขึ้นไปเรื่อยๆ จะส่งผลให้โมเดลให้ความสนใจในการลดค่าของ regularization term มากยิ่งขึ้นเรื่อยๆ แสดงให้เห็นจากค่า $\\hat{w_0}^2 + \\hat{w_1}^2 + ... + \\hat{w_{15}}^2$ ที่ลดลงเรื่อยๆ\n", "\n", "* การที่โมเดลให้ความสนใจในการลดค่าของ regularization term ไปเรื่อยๆ (จากการเพิ่มค่า $λ$) จะส่งผลให้โมเดลสนใจที่จะ fit กับ training data (จุดสีน้ำเงิน) น้อยลงเรื่อยๆ ทำให้ได้ผลลัพธ์เป็นโมเดลที่มีหน้าตาแตกต่างจากทั้งข้อมูลที่เก็บมา (สีน้ำเงิน) และความสัมพันธ์ที่แท้จริง (เส้นประสีดำ)\n", "\n", "จากตัวอย่างนี้ จะเห็นได้ว่า การใช้ regularization โดยที่ปรับค่า $λ$ ได้อย่างเหมาะสม สามารถช่วยบรรเทาปัญหา overfitting ได้ในระดับหนึ่ง ซึ่งในปัจจุบัน ได้มีการคิดค้น regularization term ต่างๆ ขึ้นมามากมาย โดยที่แต่ละตัวที่คิดค้นมา ก็มีความเหมาะสมกับโจทย์ที่แตกต่างกัน ในสถานการณ์ที่แตกต่างกัน\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "**ผู้จัดเตรียม code ใน tutorial**: ดร. อิทธิ ฉัตรนันทเวช" ] } ], 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\n", 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