{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "13b8b949",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "# 규제 선형회귀 입문 — Python 실습\n",
    "> 가이드라인 docx와 **같은 데이터·시드·코드**로 본문 수치와 그림 1~6을 재현하고, 마지막 셀에서 docx 수치와 자동 대조합니다.\n",
    "> Diabetes + 잡음 변수 3개(noise1~3), 훈련 80% / 테스트 20%(random_state=42), 표준화는 훈련 데이터로만 학습."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "3a078ec0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:21:42.153926Z",
     "iopub.status.busy": "2026-09-29T10:21:42.153569Z",
     "iopub.status.idle": "2026-09-29T10:21:42.669873Z",
     "shell.execute_reply": "2026-09-29T10:21:42.668795Z"
    },
    "lines_to_next_cell": 0
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "환경 설정 완료 (한글 폰트: Noto Sans CJK JP)\n"
     ]
    }
   ],
   "source": [
    "# 환경 설정: 한글 폰트를 코드에서 직접 등록\n",
    "import numpy as np, pandas as pd, matplotlib.pyplot as plt, matplotlib.font_manager as fm, warnings\n",
    "warnings.filterwarnings('ignore')\n",
    "import os\n",
    "# 설치된 한글 폰트를 찾아 코드에서 직접 등록 (로컬: Noto Sans CJK / Colab: 나눔고딕)\n",
    "_FONTS = [('/usr/share/fonts/opentype/noto/NotoSansCJK-Regular.ttc', '/usr/share/fonts/opentype/noto/NotoSansCJK-Bold.ttc'),\n",
    "          ('/usr/share/fonts/truetype/nanum/NanumGothic.ttf', '/usr/share/fonts/truetype/nanum/NanumGothicBold.ttf')]\n",
    "KFONT = None\n",
    "for _reg, _bold in _FONTS:\n",
    "    if os.path.exists(_reg):\n",
    "        for _p in (_reg, _bold):\n",
    "            if os.path.exists(_p): fm.fontManager.addfont(_p)\n",
    "        KFONT = fm.FontProperties(fname=_reg).get_name(); break\n",
    "if KFONT is None: print('⚠️ 한글 폰트를 찾지 못했습니다. Colab이면 맨 위 설치 셀을 먼저 실행하세요.')\n",
    "plt.rcParams.update({'font.family': KFONT or 'DejaVu Sans', 'axes.unicode_minus': False,\n",
    "                     'axes.spines.top': False, 'axes.spines.right': False})\n",
    "BLUE, ORANGE, GREEN, RED, GRAY, NAVY = '#2E5FA3', '#C45911', '#2E9E7A', '#C0392B', '#999999', '#1F3864'\n",
    "CHECKS = []   # (항목, docx 값, 노트북 값, 허용오차)\n",
    "def check(name, docx_val, nb_val, tol=0.0005):\n",
    "    CHECKS.append((name, docx_val, nb_val, tol))\n",
    "def report():\n",
    "    rows = []\n",
    "    for n, d, v, t in CHECKS:\n",
    "        ok = (abs(float(d) - float(v)) <= t) if not isinstance(d, str) else (str(d) == str(v))\n",
    "        rows.append({'항목': n, 'docx': d, '노트북': (round(v, 4) if isinstance(v, float) else v), '일치': '✅' if ok else '❌'})\n",
    "    df = pd.DataFrame(rows); print(df.to_string(index=False))\n",
    "    print(f\"\\n일치 {sum(r['일치']=='✅' for r in rows)} / {len(rows)}\")\n",
    "    return df\n",
    "print(f'환경 설정 완료 (한글 폰트: {KFONT})')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b6cd1d7b",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "## 1. 데이터 준비 (docx 1장 코드) — R 버전이 읽을 CSV도 저장"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "eb5fea61",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:21:42.671746Z",
     "iopub.status.busy": "2026-09-29T10:21:42.671475Z",
     "iopub.status.idle": "2026-09-29T10:21:43.482891Z",
     "shell.execute_reply": "2026-09-29T10:21:43.481857Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train (353, 13), Test (89, 13)\n",
      "s1-s2 상관계수: 0.90,  noise3/noise1 표준편차 비: 239배\n"
     ]
    }
   ],
   "source": [
    "from sklearn.datasets import load_diabetes\n",
    "from sklearn.model_selection import train_test_split, KFold\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.linear_model import LinearRegression, Ridge, Lasso, ElasticNet, LassoCV, ElasticNetCV, lasso_path, ridge_regression\n",
    "from sklearn.metrics import r2_score\n",
    "import os; os.makedirs('data', exist_ok=True)\n",
    "np.random.seed(42)\n",
    "data = load_diabetes(as_frame=True); df = data.frame.copy(); n = len(df)\n",
    "df['noise1'] = np.random.normal(0, 0.05, n)\n",
    "df['noise2'] = np.random.normal(0, 0.05, n)\n",
    "df['noise3'] = np.random.uniform(-20, 20, n)  # 스케일을 의도적으로 깨뜨림\n",
    "df.to_csv('data/diabetes_extended.csv', index=False)\n",
    "X = df.drop(columns='target'); y = df['target']\n",
    "X_train, X_test, y_train, y_test = train_test_split(X, y, test_size=0.2, random_state=42)\n",
    "X_train.assign(target=y_train).to_csv('data/diabetes_train.csv', index=False)\n",
    "X_test.assign(target=y_test).to_csv('data/diabetes_test.csv', index=False)\n",
    "scaler = StandardScaler(); X_scaled = scaler.fit_transform(X_train); X_test_s = scaler.transform(X_test)\n",
    "cols = list(X.columns)\n",
    "print(f'Train {X_train.shape}, Test {X_test.shape}')\n",
    "print(f's1-s2 상관계수: {X.s1.corr(X.s2):.2f},  noise3/noise1 표준편차 비: {X.noise3.std()/X.noise1.std():.0f}배')\n",
    "check('본문 s1-s2 상관계수', 0.90, X.s1.corr(X.s2), 0.005); check('본문 noise3 표준편차 비(약 240배)', 240, X.noise3.std()/X.noise1.std(), 5)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5ee51aa1",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "## 2. 과적합 예시 (그림 1, 설명용 합성 데이터)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "3cbb67f6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:21:43.485169Z",
     "iopub.status.busy": "2026-09-29T10:21:43.484468Z",
     "iopub.status.idle": "2026-09-29T10:21:43.760940Z",
     "shell.execute_reply": "2026-09-29T10:21:43.759986Z"
    }
   },
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 1300x380 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rs = np.random.RandomState(0); xp = np.sort(rs.uniform(0, 1, 15)); yp = np.sin(2*np.pi*xp) + rs.normal(0, .25, 15); g = np.linspace(0, 1, 300)\n",
    "fig, axs = plt.subplots(1, 3, figsize=(13, 3.8))\n",
    "for ax, d, c in zip(axs, [1, 3, 12], [ORANGE, GREEN, RED]):\n",
    "    coef = np.polyfit(xp, yp, d); ax.scatter(xp, yp, color=GRAY); ax.plot(g, np.polyval(coef, g), color=c, lw=2); ax.set_ylim(-2, 2); ax.set_title(f'{d}차 다항식')\n",
    "plt.tight_layout(); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "95d4c302",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "## 3. 표준화가 필요한 이유 (그림 2, Ridge λ=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "0846fba9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:21:43.762806Z",
     "iopub.status.busy": "2026-09-29T10:21:43.762607Z",
     "iopub.status.idle": "2026-09-29T10:21:43.902504Z",
     "shell.execute_reply": "2026-09-29T10:21:43.901234Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "표준화 전 계수: [ 26.68 -23.11   0.33]  → 1 표준편차당 환산: [ 1.3  -1.15  3.89]\n",
      "표준화 후 계수: [ 2.08 -6.07  3.33]\n"
     ]
    },
    {
     "data": {
      "image/png": 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cCN0l2M3AHRMTo08++UTXr19XQkKCEhISVLlyZQ0fPlwjR47U3r17tWHDBq1YsUKjR4+WJH3++eeqVq2aDh8+LEl6/PHHdenSJT333HM6evSoJk+eLE9PT/Xo0UONGzdWnTp1NGjQIB04cEA//PCDRowYoQYNGnCfBwAAAOAiq1at0n333ac1a9YoNjZWa9eu1eLFi9WvXz/98MMPqlatmr744gtlZWWpVatWevbZZ7Vnzx4dPnxYTzzxhCpXrqwHHnhA0dHRatq0qVauXKmffvpJW7du1ezZs9WvXz9X72KxUNbVBcA8a9asUVRUlCSpSZMmdssMw9CCBQs0efJk9erVSx4eHnr11Vf15z//WdKvrxMwDMN2D4ePj4927typ0aNHa+nSpWrevLm2bt0qb29vSdLmzZs1efJkde7cWdnZ2QoLC9PmzZtVrlw5J+4xAAAAgJuGDBmi9PR0LV68WPv371eVKlX07LPPatKkSTp8+LDt9/1y5cpp8+bNmj59ugYOHKjLly/r/vvv1xdffKGKFSsqIiJC8+fP17/+9S8988wz8vX11cCBAzVr1ixX72KxwD3dAADA5ejPAICSisvLAQAAAAAwCaEbAAAAAACTcE93ES1fvtzVJaAIRo4c6eoSAAAAUMzE3N/U1SWgkDrsPuz07+RMNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAIAbiI6OVteuXeXv768WLVpo8+bNtx2bmJioP//5z6pYsaI6dOig2NhYu+UffvihGjRoIF9fX3Xp0kUnTpwwu3wAwG0QugEAAFzs4MGDioyMVGRkpPbs2aOePXuqb9++OnnyZK6xhmGod+/eKlOmjL766ivVq1dPnTp10vXr1yVJ+/fv1xNPPKE5c+bo//7v/+Tj46MBAwY4e5cAAP8foRsAAMDFmjdvrr1792rEiBFq2LCh5syZo6CgIG3cuDHX2O+//17fffedli1bpubNm+vNN99UUlKSNm3aJEnasWOHunTpon79+tm29f333ys5OdnZuwUAEKEbAADA5SwWi2rXrm03XalSJVmt1lxjd+zYocaNGyskJESS5OHhoQceeEDR0dGSpIYNG+rUqVPKzs6WJHl5ealq1ary9/d3wp4AAH6L0A0AAOBmMjIydPToUTVr1izXssTERAUFBdnNCwkJUWJioiQpIiJClSpVUp8+fXT06FG98sorGjdunO66i1/7AMAVyrq6AAAAANhbunSpAgMD1a1bt1zLkpOT5evrazfP19dXZ8+elSSVL19e4eHh+vTTT9WiRQtVqlRJx44dc0rdAIDc+JMnAACAG4mPj9fcuXM1ffp0eXp65loeEBCgtLQ0u3lWq1WBgYGSpNdff13ff/+9vv/+e/34449q3bq17r//fqWnpzulfgCAPUI3AACAm7h+/br69euntm3batSoUXmOCQoK0vnz5+3mnTt3znbJ+cKFC/X000+rbNmyqlevntauXavLly/rk08+Mb1+AEBuhG4AAAA3kJ2drSeeeEIpKSl69913ZbFY8hwXHh6uo0ePKj4+XpJ07do17dq1SxEREZKkK1euqFy5crbx5cuXV+XKlZWammr+TgAAcnHL0B0dHa2uXbvK399fLVq00ObNm23Lrly5okcffVSBgYFq3bq1vv32WxdWCgAAUHQ3A3dMTIw++eQTXb9+XQkJCUpISNDFixdVs2ZNrVy5UpLUsmVLtW3bVqNHj9ahQ4c0duxY3X333bb7vwcMGKAnn3xSX375pU6cOKFZs2bp1KlT6t69uwv3EABKL7cL3QcPHlRkZKQiIyO1Z88e9ezZU3379tXJkyclSU888YROnDihbdu2qWvXruratasuXLjg4qoBAAAKb82aNYqKitLZs2fVpEkTBQcH2z45OTkyDEM5OTm28evWrVN2drbat2+v2NhYffHFF7az26+//rp69+6toUOHqkWLFtq6das2b96s+vXru2r3AKBUsxiGYbi6iFsZhqHTp0/b3lVpGIZq1aqlCRMmaMCAAapevbp27typtm3byjAMNWjQQGPGjNEzzzyTr+1brVb5+/srNTVVfn5+Ra53+fLlRd4GXGfkyJGuLgEASozo6GjNnz9f3377rWrVqqX58+fn++yqo/szAJgp5v6mri4BhdRh92Gnf6fbnem2WCy2wH1zulKlSrJardq1a5e8vLzUunVr27KIiAhFR0e7qlwAAKDfv1INAIDSyu1C929lZGTo6NGjatasmRITE1WlShWVKVPGtjwkJESJiYm3XT8zM1NWq9XuAwAAHKt58+bau3evRowYoYYNG2rOnDkKCgrSxo0bXV0aAAAuVdbVBfyepUuXKjAwUN26ddNrr70mX19fu+W+vr5KSkq67frz5s3TrFmzzC4TAIBS7U5XqrkKt4AVb9wCBqCkcOsz3fHx8Zo7d66mT58uT09PBQQEKC0tzW6M1WpVYGDgbbcxdepUpaam2j5xcXFmlw0AQKl365VqeeFKNABAaeG2ofv69evq16+f2rZtq1GjRkmSgoKClJiYqOzsbNu4c+fOKSgo6Lbb8fDwkJ+fn90HAACY69Yr1fIyb948+fv72z6hoaFOrhAAAOdwy9B9812VKSkpevfdd2WxWCRJDz74oDIzM7Vnzx5Jvz7Z/Msvv1RERIQrywUAALf47ZVqeeFKNABAaeF293TfDNwxMTHaunWrrl+/roSEBEm/nunu16+fxo8fr7feektr167VxYsXNXDgQBdXDQAApLyvVMuLh4eHPDw8nFgZAACu4Xahe82aNYqKipIkNWnSxG6ZYRh6++23NWLECEVERKhOnTraunWrKleu7IpSAQDALW69Um3jxo22K9UAACjN3C50Dxw48I5nritUqKDVq1c7sSIAAPB7fu9KNQAASiu3C90AAKD4+b0r1QAAKK3c8kFqAACgeBk4cKAMw8jzAwBAaUboBgAAAADAJIRuAAAAAABMQugGAAAAAMAkhG4AAAAAAExC6AYAAAAAwCSEbgAAAAAATELoBgAAAADAJIRuAAAAAABMQugGAAAAAMAkhG4AAAAAAExC6AYAAAAAwCSEbgAAAAAATELoBgAAAADAJIRuAAAAAABMQugGAAAAAMAkhG4AAAAAAExC6AYAAAAAwCSEbgAAAAAATELoBgAAAADAJIRuAAAAAABMQugGAAAAAMAkhG4AAAAAAExC6AYAAAAAwCSEbgAAAAAATELoBgAAAADAJIRuAAAAAABMQugGAAAAAMAkhG4AAAAAAExC6AYAAAAAwCSEbgAAAAAATELoBgAAAADAJIRuAAAAAABMQugGAAAAAMAkhG4AAAAAAExC6AYAAAAAwCSEbgAAAAAATELoBgAAAADAJIRuAAAAAABMUrawK164cEEXLlyQ1WqVn5+fKleurKCgIEfWBgAAHIz+DQCAcxUodO/Zs0dvvPGGoqOjlZiYqNDQUFWtWlUXLlxQXFycKleurA4dOuipp55Su3btzKoZAAAUAP0bAADXyVfo/u9//6vZs2frrrvu0qhRozRnzhxVr15dZcv+b/Xs7GzFx8dr165deuGFF5SWlqZp06bpL3/5i2nFAwCA26N/AwDgevkK3b6+vlq2bJn+8Ic/3HZMmTJlVKNGDdWoUUMDBw7U0aNHFRcX57BCAQBAwdC/AQBwvXyF7vbt29tNp6amKjExUUlJSQoMDFTVqlXl5+dnN6ZRo0Zq1KhRoYq6ePGi/vnPfyoqKkpVqlTR3r17bcuuXLmikSNHasuWLapTp44WLVqkNm3aFOp7AAAoyZzdvwEAQG4Fenr522+/rXvvvVcBAQFq1KiR7r//fjVo0ECVKlXSn/70J61cudIhRcXFxenEiRO5fhGQpCeeeEInTpzQtm3b1LVrV3Xt2lUXLlxwyPcCAFASOat/AwCA3PIdul966SU9++yz6tevn3bv3q3Tp08rKSlJp0+f1q5du9S3b19NmDBB8+fPL3JR9957rz788ENFRkbazU9ISNDatWu1cOFC/eEPf9Ds2bNVtWpVrV69usjfCQBASeTM/g0AAHLL99PLly9frk8//VRhYWF28ytWrKgaNWqoTZs2atu2rYYOHarnnnvO0XVKknbt2iUvLy+1bt1akmSxWBQREaHo6Gg988wzpnwnAADFmTv0bwAASrN8h24PDw+lpKTccUxqaqrKly9f1JpuKzExUVWqVFGZMmVs80JCQnTgwIHbrpOZmanMzEzbtNVqNa0+AADcjTv0bwAASrN8h+5JkybpkUce0dChQ9WpUycFBQXJ19dXaWlpOn/+vLZt26Z3331XixcvNq3Y5ORk+fr62s3z9fVVUlLSbdeZN2+eZs2aZVpNAAC4M2f2b8Mw9OKLL+rtt9+Wl5eXpkyZouHDhztgLwAAKL7yHbpHjhyp6tWra9myZRo6dKjS09Nty/z8/BQeHq7169erS5cuphQqSQEBAUpLS7ObZ7VaFRgYeNt1pk6dqgkTJtiNDw0NNa1GAADciTP797Jly7Rw4UKtXbtWly9f1qOPPqrq1aurW7duRd42AADFVb5DtyT16NFDPXr0kCRdvXpVKSkpCggIkKenpynF/VZQUJASExOVnZ1tu8T83LlzCgoKuu06Hh4e8vDwcEp9AAC4I2f0b8MwtGTJEk2ePFnh4eGSpM8//1zLli0jdAMASrUCvTLsVt7e3goJCbFr2NnZ2bpx44ZDCsvLgw8+qMzMTO3Zs0fSrw3+yy+/VEREhGnfCQBASWJW/05KStLhw4fVqVMn27ybDzsFAKA0K9CZ7t/TsmVLWSwWHTp0qEjbSUpK0vXr15Wenq6srCwlJCSoTJkyuvvuu9WvXz+NHz9eb731ltauXauLFy9q4MCBDtoDAABKH0f078TEREmyu/osJCREVqtVGRkZ8vLyshvPg04BAKWFQ0N3v379ZBhGkbfz0EMPKSYmxjYdHBysmjVr6vTp03r77bc1YsQIRUREqE6dOtq6dasqV65c5O8EAKC0ckT/Tk5OliS7B57e/HdycnKu0O2MB52OHDnS1O2jZFm+fLmrS0AROPvnvcPuw079PhRvDg3d06dPd8h2duzYcdtlFSpU0OrVqx3yPQAAwDH9OyAgQJKUlpamihUrSvrf2euby27Fg04BAKVFoe/pzsu1a9cUFRXlyE0CAACTOaJ/37ys/Pz587Z5586dU8WKFfN8YJuHh4f8/PzsPgAAlEQODd2pqakaOnSoIzcJAABM5oj+XalSJbVo0ULbtm2zzeNhpwAAFODy8k2bNv3umJv3cwEAAPfgzP49ZswYPfvss2rbtq2SkpIUFRWljRs3OmTbAAAUV/kO3X369FFOTs7vPmjFYrEUuSgAAOAYzuzfI0aMUGJioh577DF5eXlpyZIl6ty5c5G3CwBAcZbvy8u7du2qAQMGKCcn57afc+fOmVkrAAAoIGf2b4vFohdeeEFnz55VbGyshg0b5pDtAgBQnOU7dI8ZM0a1a9e+4xiLxeKQV4YBAADHoH8DAOBa+b68vEePHurRo8cdxwQEBCg6OrrIRQEAAMegfwMA4FoOfXp5uXLl1KFDB0duEgAAmIz+DQCAeQoVugMCAnTx4kVJUmhoqE6fPu3ImgAAgAno3wAAOF+hQndKSort3q+UlBTl5OQ4tCgAAOB49G8AAJzPoZeXAwAAAACA/yF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGCSQoXurl27qnz58pKkTp06ydvb26FFAQAAx6N/AwDgfIUK3Zs3b1bFihUlSf/5z38UFBQkSTp16pRmzZrlsOIAAIDj0L8BAHC+Il9enpKSouXLl6tdu3aqW7euPvroI0fUBQAATET/BgDAOQoVum/cuKHPPvtM/fr1U1BQkF5++WW1a9dO+/fv15EjRxxdIwAAcAD6NwAAzle2IINPnz6tN954Q++9956SkpI0duxYff3112rVqpVZ9QEAgCKifwMA4Dr5PtO9bt06NW7cWPv27dPzzz+ve++9V6tXr9aaNWsUGxtrZo0AAKCQ6N8AALhWvkP3xIkT9frrr2vHjh165pln9N1332ndunX65Zdf1KRJE4WFhWn16tXKzMw0s14AAFAA9G8AAFwr36E7NTVVDz74oN28+++/Xx999JFOnDih++67T2PHjlVISIhSUlIcXScAACgE+jcAAK6V79C9bNkyBQcH57msRo0aevnllxUXF6eXXnpJvr6+DisQAAAUHv0bAADXylfo/uabb9SkSRMFBgbecVyFChU0evRolSlTRpcuXdLOnTsdUiQAACg4+jcAAK6Xr9B96dIlDR48WGFhYfrggw8UHx8vwzByjUtISNCmTZs0bNgw9e7dW4mJiQ4vGAAA5A/9GwAA18vXK8N69eqlXr16adeuXVqyZIkmTJigpKQkVa9eXVWrVtXFixcVFxcnf39/dejQQU8++aTCw8PNrh0AANwB/RsAANcr0Hu6H3jgAT3wwAOSpPPnz+vChQtKT0+Xj4+P7r77boWEhJhSJAAAKDz6NwAArlOg0H2r4ODg2z6YBQAAuCf6NwAAzpXvp5cDAAAAAICCIXQDAAAAAGASQjcAAAAAACZxSOgeNWqUIzYDAACciP4NAID5Ch26//a3v+m9996TJNt/AQCAe6N/AwDgXIUK3Tdu3NCnn36q0NBQSZJhGA4tCgBQ/BiGodmzZys0NFT169fXihUr8hyXlZWlGTNmqHHjxvLz81P37t0VGxtrW37q1Ck9/PDDuvvuu1W9enVNnTpVN27ccNZulGj0bwAAnK9QoXvRokUKCAhQWFiYJMlisTiyJgBAMbRs2TItXLhQUVFRmjt3rp566ilt2bIl17j33ntPmzdv1sKFC/XNN98oJydHf/nLX2wBcOjQoapVq5a2bdum5cuXa9myZVqwYIGzd6dEon8DAOB8BX5P99q1azV79uw8f5ECAJROhmFoyZIlmjx5ssLDwyVJn3/+uZYtW6Zu3brZjR0yZIgGDRokT09PSdLcuXPVqlUrxcfHq3r16tqyZYu8vLwkSS1atNDgwYO1detWTZ482bk7VcLQvwEAcI18h+6//e1v2rt3r06dOqUPPvhAbdq0sS3LysrS7Nmz7cZPnz7dcVUCANxaUlKSDh8+rE6dOtnmRURE5PmgrrvuussWuCUpLS1NFotF3t7ekmQL3Lcu9/HxManyko/+DQCAa+U7dF+8eFEXLlxQ+fLl5efnZ7csJyfH7n48LlcDgNIlMTFRkhQUFGSbFxISIqvVqoyMjFxBWvo18B04cEDPPPOMhg4dqoCAALvlVqtVa9eu1Zo1a7Rx40Zzd6AEo38DAOBa+Q7dq1evliStWLFCPXv2VExMjJo3by5J8vDw4AmoAFCKJScnS5J8fX1t827+Ozk5Oc/QXbVqVSUnJ+vBBx/UwoUL7ZZt2LBBffr0kSQtXLhQERERJlVe8tG/AQBwrQI/SG348OGaOHGiRowYYUY9AIBi6OZZ6rS0NNs8q9Vqt+y3YmJi9J///Efly5dX+/btdfXqVduy8PBwffPNN3rjjTc0b948zZs3z8TqSwf6NwAArlGop5dPnjxZcXFx+uabbxxdDwCgGLp5Wfn58+dt886dO6eKFSva3b99q2bNmqlv377atGmT4uLi9NFHH9mW+fr6qk2bNho7dqzefPNNzZgxQ9euXTN3J0oB+jcAAM5XqNDt4eGhnj176siRI5J4zycAlHaVKlVSixYttG3bNtu8L7/8Ms/Lwm+eAb+pfPny8vLysp3p/u3yihUr6saNG8rKyjKh8tKF/g0AgPMV+JVhNy1evFjly5eXJHXu3NlhBQEAiqcxY8bo2WefVdu2bZWUlKSoqCht3LhRFy9eVKtWrTRr1iwNGTJEvXr1Uv369TV48GAFBQVp6dKlSkpKUvfu3RUbG6sHHnhAM2bMUFhYmJKTkzVx4kR169bN7n5xFB79GwAA5yrUmW5JtoYt/frAG2cyDEOzZ89WaGio6tevrxUrVjj1+wEAuY0YMUITJkzQY489pueee05LlixR586dlZOTI8MwlJOTI0n6+OOPZbFYNHr0aLVq1Ur79u3Tli1bdM8996hevXpatWqVNm/erA4dOigyMlKtW7fmYV8O5Mr+DQBAaZSvM91fffVVgTfcvn37Aq+TX8uWLdPChQu1du1aXb58WY8++qiqV6+ubt26mfadAIA7s1gseuGFF/TCCy/Yza9atarOnDljm65SpYqWL19+2+106dJFXbp0Ma3O0sTd+jcAAKVRvkL3qFGjCrRRi8Viu1/M0QzD0JIlSzR58mSFh4dLkj7//HMtW7aM0A0AwC3cqX8DAFBa5St0Hz161Ow68i0pKUmHDx9Wp06dbPMiIiIK/IsFAAAlnTv1bwAASqt8P0itR48e+d5ojx49NHbs2EIV9HsSExMl/e/1NJIUEhIiq9WqjIwMeXl5mfK9AOBsMfc3dXUJKIIOuw+7ugRJ7tO/AQAorfIdugcMGCDp18u7n3rqKS1ZskSGYdjeoXqrBg0aOLbKWyQnJ0uS3VNsb/47OTk5V+jOzMxUZmambfq3r6IBAKAkc5f+DQBAaWUxCvGSzoCAACUlJUn69d2sN4OwMxw9elSNGzfWmTNnFBoaKkmKiYlRWFiYMjIy5OnpaTd+5syZmjVrVq7tpKamys/Pzyk1Azfd6eFRcH8jR450dQlAkbiyf/8eq9Uqf39/+jNchh5dvNGj4c4K9Mqw7t27q0WLFsrIyNDHH3+s69evq3///mbVlqebl5WfP3/eNu/cuXOqWLFirsAtSVOnTlVqaqrtExcX57RaAQBwB+7QvwEAKK0KFLovXbqkqVOnasaMGZo/f75q165t90AzZ6hUqZJatGihbdu22eZ9+eWXioiIyHO8h4eH/Pz87D4AAJQm7tC/AQAorQoUuqVfnxT+3HPPad++fVq+fLnGjh2rqVOnmlHbbY0ZM0avvvqqoqOjtXbtWkVFRWn06NFOrQEAgOLE7P5tGIaWLVum1q1by8/PT126dNHx48cdtn0AAIqrfD9ILS9//vOf9d1336lbt27y8fHR3//+d0fVdUcjRoxQYmKiHnvsMXl5eWnJkiXq3LmzU74bAIDizoz+vXTpUr3xxht69dVXVbNmTT377LPq06ePDh06pHLlyjmgagAAiqcChe7g4GCVKVPGbl7NmjW1du1atW3bVn369FHTpua/4sZiseiFF17QCy+8YPp3AQBQ3Dmjf//1r39VZGSkqlSpIklavHix6tSpoyNHjqhFixZF2jYAAMVZgUL3hg0b8pzfuHFj7dy5U02aNHFIUQAAwHGc0b99fHzk4+Njmw4ICJDEqzoBACjS5eW3at68uaM2BQAAnMSs/v39999L0m3PoGdmZiozM9M2TTgHAJRUBX6QGgAAwO9ZuHChHnroIVWqVCnP5fPmzZO/v7/tExoa6uQKAQBwDkI3AAAosFWrVtkuKffx8dEvv/xiW7Z161Zt2bJFM2bMuO36U6dOVWpqqu0TFxfnjLIBAHC6Il1enpOTo4sXL6pKlSqyWCyOqgkAAJjIEf27d+/eatOmjW06JCREknT69GkNGjRI8+bNu+Ol6x4eHvLw8CjUdwMAUJwU6kx3SkqKBg8eLC8vL1WrVk0///yzJGn16tW3fVgLAABwLUf2bz8/P9WtW9f2KVeunC5duqRevXqpS5cuGj9+vBm7AABAsVOo0P30008rKytLp0+flqenp21+hQoVNHfuXIcVBwAAHMfM/n358mV16tRJVatW1YIFC3ThwgUlJCQoKSmpqGUDAFCsFery8k2bNmnXrl0KDg62uyytadOmOnLkiMOKAwAAjmNm/37++ed18OBBSb++F/ymDh06aMeOHUXaNgAAxVmhznRXqlRJly9fzjV/7969ql69epGLAgAAjmdm/37rrbdkGEauD4EbAFDaFSp0jxkzRuPGjdNPP/0ki8WihIQErV69WuPGjdOTTz7p6BoBAIAD0L8BAHC+Ql1ePn78eGVlZelPf/qTrly5ogcffFDe3t76+9//rrFjxzq6RgAA4AD0bwAAnK/QrwybMmWKJkyYoOPHj8swDNWrV0/ly5d3ZG0AAMDB6N8AADhXoS4vHzRokKxWq8qWLavGjRurSZMmtoa9fv16denSRf/85z8dWigAACga+jcAAM5XqND94YcfaunSperTp4+mTp2qtLQ027JRo0apfPny+sc//qGoqCiHFQoAAIqG/g0AgPMVKnRL0gcffKCOHTtq9+7deuSRRyRJKSkpunjxoqKiojRz5kwtXbrUYYUCAICio38DAOBchb6ne8GCBQoPD1evXr1Ut25dWa1WZWZmSpICAgJ03333afLkyQ4rFAAAFB39GwAA5yrUme7AwEBlZ2dLknJycuTt7S1PT08lJSXZ7g27du2asrKyHFcpAAAoEvo3AADOV6gz3X369NHTTz+txx9/XP/5z3/k4eGh6dOn68CBA8rJydG+ffu0adMmNWrUyNH1AgCAQqJ/AwDgfIU6071w4UK1a9dOH374oSIiIvTTTz/JMAyFhoZqx44dGjRokObOnavp06c7ul4AAFBI9G8AAJzPYhiG4eiNGoahq1evqkKFCo7edJFZrVb5+/srNTVVfn5+ri4Hpczy5ctdXQKKYOTIka4uATCVK/s3/RmuRo8u3ujRcGeFfnr5nVgsFrcM3AAA4Pbo3wAAOF6+7+muXbu2LBZLvsaeOnWq0AUBAADHoX8DAOBa+Q7dkyZNsv37hx9+0M6dO+0u47hx44bmz5+vRYsWObZCAABQaPRvAABcK9+h+6mnnrL9OyIiQgsWLFCXLl3sxgQFBek///mPBg4c6LgKAQBAodG/AQBwrULd071v3z6Fhobmmt+qVStt27atyEUBAADHo38DAOB8hQrdLVu21CuvvKKcnBy7+StXrsyzmQMAANejfwMA4Hz5vrz8VosXL1aHDh20c+dOhYWFqWzZsvruu+/0ww8/aMOGDY6uEQAAOAD9GwAA5yvUme5mzZopNjZWf/3rX5WamqqEhAR17NhRP/74o7p37+7oGgEAgAPQvwEAcL5CnemWpMDAQE2fPt2RtQAAAJPRvwEAcK58h+7169ercuXKeuCBBxQVFXXHsX/961+LXBgAACg6+jcAAK6V79A9YcIENWrUSBs3btTEiRNvO85isdC0AQBwE/RvAABcK9+h+8cff1S5cuUkSRcvXjStIAAA4Dj0bwAAXCvfD1Lz9PRUmTJldPXqVV25cuW2444cOeKQwgAAQNHRvwEAcK18h+4LFy6oc+fO8vPzk5+fnzp27KiEhATb8lOnTmnw4MFq3ry5KYUCAICCo38DAOBa+Q7dzz//vJKTk/X5559ry5Ytunr1qoYNG6azZ89q5MiRatiwoY4dO6bPPvvMzHoBAEAB0L8BAHCtfN/TvWXLFq1atUphYWGSpJo1a6phw4aqV6+eGjZsqLVr16pXr15m1QkAAAqB/g0AgGvlO3SfP39e9erVs03Xr19f5cqV05tvvqmhQ4fKYrGYUiAAACg8+jcAAK6V78vLDcNQ+fLl7eaVL19e4eHhNGwAANwU/RsAANfK95luSRo2bJg8PT1t0xkZGXrqqafk4+NjN27NmjWOqQ4AABQZ/RsAANfJd+h+/PHHc8177LHHHFoMAABwLPo3AACule/Q/e9//9vMOgAAgAno3wAAuFa+7+kGAAAAAAAFQ+gGAAAAAMAkhG4AAAAAAEzidqH7hx9+0PDhw+Xn56dJkyblWn78+HG1b99elSpVUs+ePXXhwgUXVAkAAAAAwO9zu9B98OBBpaen273a5KbMzEx17NhRDRo0UExMjCwWi/r06eOCKgEAAAAA+H1uF7oHDx6sDz/8UI0bN861bOPGjUpNTdXixYvVvHlzLVu2TN9++60OHDjg/EIBAAAAAPgdbhe672THjh1q166dPDw8JEnVqlVTgwYNFB0d7eLKAAAAAADILd/v6XYHiYmJCgoKspsXEhKixMTE266TmZmpzMxM27TVajWtPgAAAAAAblWsznQnJyfL19fXbp6vr6+SkpJuu868efPk7+9v+4SGhppdJgAAAAAAklwculetWiUfHx/b55dffrnj+ICAAKWlpdnNs1qtCgwMvO06U6dOVWpqqu0TFxfnkNoBAAAAAPg9Lr28vHfv3mrTpo1tOiQk5I7jg4KCFBsbazfv3LlzuS45v5WHh4ftHnAAAAAAAJzJpaHbz89Pfn5++R4fHh6uf/3rX8rMzJSHh4fOnj2r48ePKyIiwsQqAQAAAAAoHLe7pzshIUEJCQm6fv26rly5ooSEBKWmpkqSevTooYCAAI0dO1aHDh3S6NGj9eCDD6pZs2YurhoAAAAAgNzcLnQHBwcrODhY33zzjZYtW6bg4GD97W9/kySVL19e27Zt07Fjx9S+fXtJ0qeffurKcgEAAAAAuC23e2WYYRh3XF6vXj199dVXTqoGAAAAAIDCc7sz3QAAoHiLjY1V+fLlNWTIEFeXAgCAyxG6AQCAQ02aNIk3hwAA8P8RugEAgMNs27ZN27dv1+OPP+7qUgAAcAtud083AAAonm7cuKHx48dr8uTJMgxD6enpri4JAACX40w3AABwiOXLl+vatWt69tlnf3dsZmamrFar3QcAgJKI0A0AAIosOTlZ06dP15IlS+Tp6fm74+fNmyd/f3/bJzQ01AlVAgDgfIRuAABQYKtWrZKPj4/tM2HCBHXu3FmdO3fO1/pTp05Vamqq7RMXF2dyxQAAuAb3dAMAgALr3bu32rRpY5uuV6+efHx8VLlyZUnS1atXlZ2drY0bN+rSpUu51vfw8OAJ5wCAUoHQDQAACszPz09+fn626d+eqR4/frwkacGCBU6tCwAAd0PoBgAARVa9enW76QoVKuQ5HwCA0oZ7ugEAAAAAMAlnugEAgMOtXLnS1SUAAOAWONMNAAAAAIBJCN0AAAAAAJiE0A0AAAAAgEkI3QAAAAAAmITQDQAAAACASQjdAAAAAACYhNANAAAAAIBJCN0AAAAAAJiE0A0AAAAAgEkI3QAAAAAAmITQDQAAAACASQjdAAAAAACYhNANAAAAAIBJCN0AAAAAAJiE0A0AAAAAgEkI3QAAAAAAmITQDQAAAACASQjdAAAAAACYhNANAAAAAIBJCN0AAAAAAJiE0A0AAAAAgEkI3QAAAAAAmITQDQAAAACASQjdAAAAAACYhNANAAAAAIBJCN0AAAAAAJiE0A0AAAAAgEkI3QAAAAAAmITQDQAAAACASQjdAAAAAACYhNANAAAAAIBJCN0AAAAAAJjErUK3YRhatmyZWrduLT8/P3Xp0kXHjx+3G3P8+HG1b99elSpVUs+ePXXhwgUXVQsAAAAAwJ25VeheunSp/vnPf2r69OnatWuXypYtqz59+igrK0uSlJmZqY4dO6pBgwaKiYmRxWJRnz59XFw1AAAAAAB5K+vqAm7117/+VZGRkapSpYokafHixapTp46OHDmiFi1aaOPGjUpNTdXixYvl4eGhZcuWqXr16jpw4IBatmzp2uIBAAAAAPgNtzrT7ePjYwvckhQQECBJslqtkqQdO3aoXbt28vDwkCRVq1ZNDRo0UHR0tPOLBQAAAADgd7jVme7f+v777yVJTZs2lSQlJiYqKCjIbkxISIgSExNvu43MzExlZmbapm8GeAAAAAAAzOZWZ7p/a+HChXrooYdUqVIlSVJycrJ8fX3txvj6+iopKem225g3b578/f1tn9DQUFNrBgAAAADgJpeG7lWrVsnHx8f2+eWXX2zLtm7dqi1btmjGjBm2eQEBAUpLS7PbhtVqVWBg4G2/Y+rUqUpNTbV94uLiHL8jAAAAAADkwaWXl/fu3Vtt2rSxTYeEhEiSTp8+rUGDBmnevHlq3ry5bXlQUJBiY2PttnHu3Llcl5zfysPDw3YPOAAAAAAAzuTS0O3n5yc/Pz+7eZcuXVKvXr3UpUsXjR8/3m5ZeHi4/vWvfykzM1MeHh46e/asjh8/roiICGeWDZRohmHoq6++0u7du5WQkKDatWtr4MCBqlq1qiTp2rVrWrdunX744QddvXpVjRs3Vv/+/eXv75/n9tLS0rR9+3Z9++238vX11d///ne75fHx8dq+fbv27dundu3aKTIy0vR9BACgpPj666+1fft2paSkqE6dOho4cOBtrwI9efKk1qxZo4sXL6pJkyYaPHiwPDw8dOzYMb3++ut5rjN//nzbrZ4ACsetHqR2+fJlderUSVWrVtWCBQt04cIFSVL58uUVEBCgHj16KCAgQGPHjtW4ceP0/PPP68EHH1SzZs1cXDlQcsTExCg6OloPP/ywAgMD9emnn2rJkiWaPn26ypQpo88//1wXL17U448/Lk9PT7333nuKiorSuHHj8txecnKyLl68KC8vrzyXx8XFKTMzU+XKlTNztwAAKHF27Nih9evXa/DgwQoJCdG3336rs2fP5hm6U1NTtWjRInXs2FEtW7bU+++/r/fee0/Dhw9XnTp19Morr9iN37Bhg65evUrgBhzArR6k9vzzz+vgwYPavn27goODbZ+HHnpI0q/he9u2bTp27Jjat28vSfr0009dWTJQ4rRp00YTJ05U8+bNVa1aNT3yyCNKSEjQuXPnJEndu3fXU089pfr166tGjRrq3r27fvrpJ2VnZ+e5vRo1amjEiBG69957b/t9I0aMUHBwsGn7BABASZOVlaXNmzdrwIAB+uMf/6jg4GD95S9/UYsWLfIc/91338nf31+9evVSjRo11L9/f+3bt09Wq1Vly5a1e/BwZmamDhw4oP79+zt5r4CSya3OdL/11lt666237jimXr16+uqrr5xUEVD6eHp6ytPT0zZdoUIFSb9eVi4p1xnpa9euqXz58rrrLrf6Gx4AACXazz//LKvVqj/+8Y/5Gn/s2DE1bNhQFotFklSrVi2VLVtWJ0+e1B/+8Ae7sZ999pnatWvHWW7AQdwqdANwP2fOnJH0vwcd3pSVlaWTJ0/qs88+U6dOnWxNHAAAmC8pKUn+/v46ceKE1q9fbwvgffr0UdmyuX/FT0tLU+3atW3TZcqUkZ+fn6xWq924q1evav/+/XrhhRdM3wegtCB0A7ij7du36w9/+IPtjLf0a0O++aDDe++9V926dXNVeQAAlEopKSnKyMjQpk2b1LdvX129elVRUVHy9/dXp06dco2/evVqrjf6eHp66sqVK3bz9u/fr+DgYNsDVAEUHaEbKOW+/fZbrV692jY9Y8YM2wNYfvzxR/344496/vnn7dbx9PTU3//+dyUmJurzzz/Xm2++qbFjx3KJOQAAJvltv+7cubPuuusujRkzxvaw0p9//lkHDx7MM3R7e3srMzPTbl5GRoZ8fHzs5p06dUo1atQwYQ+A0ovQDZRyLVq00D333GObrlixoqRfX9/3zjvv6C9/+YuqV69ut85dd92lGjVqqEaNGmrYsKEmT56s2NhYNWjQwJmlA3BDK1as0MKFCxUfH68HH3xQixcvVs2aNV1dFlDs/bZfnzt3Tjdu3LB7DkvlypV16NChPNf39/dXamqqbTo7O1tpaWm5Xt975swZ3XfffQ6uHijdCN1AKefl5ZXrdV7p6el688031bhxY3Xs2NFuWUZGht14Dw8PWSwWXb9+3Sn1AnBfS5Ys0bRp07R8+XI1adJEUVFROnToEKEbcIDf9mtvb28ZhqFffvlFtWrVkiQlJibq7rvvznP9+vXrKyYmRoZhyGKx6Oeff1Z2drbq1q1rN+7SpUvy9/c3bT+A0ohrQQHYSU9P14IFC+Tn56d+/fopLS1NqampunLlirKzszV37lytXbtWP//8s+Lj4xUVFSUfHx/VqVNHkhQVFaWFCxfatnflyhWlpqYqMzNTOTk5Sk1NVVpamm15amqqUlNTdePGDWVmZio1NVUZGRnO3m0ARZSZmamXXnpJixYtUmRkpBo1aqR58+apV69eri4NKJF8fHz0wAMPaNWqVTp9+rQOHjyor7/+2vZa3SNHjujZZ59VfHy8JKl169ayWq367LPPFBcXp48//litWrXKdXl5Zmamypcv7/T9AUoyznQDsLNu3TqdPXtWkjRlyhTb/Pr162vixIl6+umntWHDBq1YsULp6emqU6eOnnnmGXl7e0uSDMNQTk6Obb1ly5bp+PHjtukpU6YoMDBQc+fOzfUdp06d0ldffaW2bdtqyJAhZu4mAAfbs2ePLly4oMjISFeXApQa/fv319q1a/Xmm2+qXLlyevjhh9WsWTNJUk5OjgzDkGEYkiQ/Pz89/fTT+uijjxQdHa2mTZtq8ODBdtu7ceOGsrOzc70eFEDRWIybP4mlhNVqtd3T8tt7WACzLV++3NUloAhGjhzp6hIAt7Vq1SpNnTpVK1eu1LRp03T+/HkNGDBAL774Yp5nzTIzM+0e6mS1WhUaGkp/hsvQo4s3ejTcGWe6AQBAkZ09e1ZWq1Vz5szRSy+9pOTkZA0bNkzBwcF65plnco2fN2+eZs2a5fxCAQBwMu7pBgAABbZq1Sr5+PjYPpmZmSpTpozWrVuniIgIPfzwwxo1apTWr1+f5/pTp061PdMhNTVVcXFxTt4DAACcgzPdgBNx6ROAkqJ3795q06aNbfrHH39UZmam3aXhtWrV0oYNG/Jc38PDQx4eHqbXCeQXPRqAWQjdAACgwPz8/OwCdsWKFZWTk6N9+/apVatWkqTjx4/b3mwAAEBpRegGAABFVrlyZQ0fPlwjR47U8uXLde7cOa1YsUIffPCBq0sDAMClCN0AAMAhFixYoMmTJ6tXr17y8PDQq6++qj//+c+uLgsAAJfilWEAAMDl6M8AgJKKp5cDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYp6+oCnM0wDEmS1Wp1cSUAAOSfr6+vLBaLq8swDf0ZAFBc/V6PLnWhOy0tTZIUGhrq4koAAMi/1NRU+fn5uboM09CfAQDF1e/1aItx80/LpUROTo7OnTtX4s8YOILValVoaKji4uJK9C96cAyOFxQEx0vBlfS+RX8uGH6GUBAcL8gvjpXC4Uz3b9x1112qXr26q8soVvz8/PihQ75xvKAgOF5wE/25cPgZQkFwvCC/OFYciwepAQAAAABgEkI3AAAAAAAmIXTjtjw8PDRjxgx5eHi4uhQUAxwvKAiOF6Bo+BlCQXC8IL84VsxR6h6kBgAAAACAs3CmGwAAAAAAkxC6AQAAAAAwCaEbAAAAAACTELphJzIyUpMmTSrydi5evKhp06apRo0aatWqlQMqgzty1PESHR2trl27yt/fXy1atNDmzZsdUB3cjaOOly+++EJhYWHy9fVVo0aN9P777zugOsD90aORX/RnFAT92XyEbtipU6eOatSoUeTtxMXF6cSJE/Lz83NAVXBXjjheDh48qMjISEVGRmrPnj3q2bOn+vbtq5MnTzqoSrgLRxwvycnJGjJkiPr376+9e/fqySef1GOPPaY9e/Y4qErAfdGjkV/0ZxQE/dl8PL0cppo5c6Y2btyovXv3uroUuCnDMHT69GnVrl3bNl2rVi1NmDBBf/vb31xcHdxRRkaGvLy8bNPNmjXTgAEDNG3aNBdWBRQ/9GjcCf0ZBUV/vj3OdJcwYWFhioqK0syZM3XPPfcoJCRE77zzjm35yZMn1bNnT1WsWFENGzbUokWLlJOTY1seGRmpIUOG2KZfffVVVa9eXQEBAYqMjNTp06dty7744gv98Y9/lK+vrzp06KDDhw87YxfhQO5wvFgsFltDvzldqVIlWa1W83YcheIOx4sku4aek5Oj9PR0+fj4mLPTgAO5y88Q3J87HCv05+LDHY4Xif58J4TuEujpp59WTk6ONm7cqEcffVRPPfWUkpKSlJycrPvvv19Vq1bV119/rXnz5mnOnDl69dVX89zO7t27NWXKFM2ZM0dff/21mjVrpitXrkiSvv32Ww0aNEhTp07V/v371a1bN/Xq1UuZmZnO3FU4gLsdLxkZGTp69KiaNWtm6n6jcNzleDEMQ+fPn9eECROUkZGhQYMGOWX/gaJyl58huD93O1boz+7NXY4X+vNtGChROnToYIwcOdI2fezYMUOSsXPnTmPOnDlG3bp1jRs3btiW//vf/zYqVKhgXL9+3TAMw3j44YeNxx9/3DAMw9i0aZPh7e1tJCUl5fqeLl26GEuWLLFN5+TkGPXr1zdiYmLsxs2YMcP44x//6MhdhAO52/FiGIbx2muvGcHBwUZGRoajdhMO4k7Hy/jx4w1Jho+Pj/HVV185elcBU7jTz5Bh0KPdmbsdK4ZBf3Zn7nS80J/zxpnuEsjX19f277p160qSUlJSdODAAbVv315lypSxLY+IiNCVK1d04sSJXNvp3LmzHnnkETVq1EgzZsxQUlKSbdn333+vCRMmyMfHRz4+PvL19VVsbKzi4+NN3DOYwZ2Ol/j4eM2dO1fTp0+Xp6eno3cVDuAux8vkyZO1Y8cOjRs3Tj169ND27dvN2F3A4dzlZwjuz52OFfqz+3OX44X+nLeyri4A5rrrrv/9XcW4wzPzbr2v46ayZcvqnXfe0dGjRzVv3jzdc889WrduncLCwmQYhl588UX17dvXbp2goCCH1Q7nc+Xxcv36dfXr109t27bVqFGjir4zMJ0rj5fg4GAFBwerQ4cOSktL0+zZs9WxY8ei7xTgRPRo5Bf9GQVBf3Y/hO5SpGXLloqKilJ2drbtr13R0dHy9vZW/fr1b7teo0aNFBUVpaFDh2rRokUKCwtTixYt9NNPP9n+koaSx5nHS3Z2tp544gmlpKRo48aNslgspuwTzOOs4yUrK0tZWVny9va2zatYsaKuXr3q+J0CnIgejfyiP6Mg6M/ugcvLS5ExY8YoJSVFo0eP1pEjR7RhwwZNmTJF06ZNU7ly5XKNnz17tiZOnKh9+/bpq6++0tdff217h9+sWbO0cuVKzZ07V8eOHbM9mOGmpKQkJSQkKD09XVlZWUpISNDFixedtq8oOmcdLzcbekxMjD755BNdv35dCQkJSkhIcOr+omicdbysWrVK9913n9asWaPY2FitXbtWixcvVr9+/Zy6v4Cj0aORX/RnFAT92U245lZymKVDhw7GxIkT7eZJMj777DPDMAzj+PHjRvfu3Q0/Pz+jXr16xuuvv25kZ2fbxt76IIW4uDhj8ODBRkhIiFGpUiVj0KBBRnJysm3sF198YbRu3dqoUKGCUb9+feOll16ybatDhw6GJLtPzZo1Td13FJw7HC+rV6/Odazc/MC9uMPxkpOTYyxatMho166d4ePjY9xzzz3GvHnz7L4HcFfu8DN0sw56tHtzh2OF/lx8uMPxQn++M4th3OFCfwAAAAAAUGhcXg4AAAAAgEkI3QAAAAAAmITQDQAAAACASQjdAAAAAACYhNANAAAAAIBJCN0AAAAAAJiE0A0AAAAAgEkI3QAAAAAAmITQDQAAAACASQjdAAAAAACYhNANAAAAAIBJCN0AAAAAAJjk/wG4fuQ/gkPB7gAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 1000x380 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nz = ['noise1', 'noise2', 'noise3']; ii = [cols.index(c) for c in nz]\n",
    "raw = Ridge(alpha=1.0).fit(X_train, y_train).coef_[ii]; std = Ridge(alpha=1.0).fit(X_scaled, y_train).coef_[ii]\n",
    "per_sd = raw * X_train[nz].std(ddof=0).values\n",
    "print('표준화 전 계수:', raw.round(2), ' → 1 표준편차당 환산:', per_sd.round(2)); print('표준화 후 계수:', std.round(2))\n",
    "for nm, dv, v in [('그림2 표준화 전 noise1', 26.68, raw[0]), ('그림2 표준화 전 noise2', -23.11, raw[1]), ('그림2 표준화 전 noise3', 0.33, raw[2]),\n",
    "                  ('그림2 표준화 후 noise1', 2.08, std[0]), ('그림2 표준화 후 noise2', -6.07, std[1]), ('그림2 표준화 후 noise3', 3.33, std[2]),\n",
    "                  ('캡션 noise3 1SD당(약 3.9)', 3.9, per_sd[2]), ('캡션 noise2 1SD당', -1.15, per_sd[1])]: check(nm, dv, v, 0.05 if '약' in nm else 0.005)\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 3.8))\n",
    "for ax, v, t in [(ax1, raw, '표준화 전'), (ax2, std, '표준화 후')]:\n",
    "    ax.bar(nz, v, color=[GRAY, GRAY, RED]); [ax.text(i, vv, f'{vv:.2f}', ha='center', va='bottom') for i, vv in enumerate(v)]; ax.set_title(t); ax.set_ylabel('Ridge 계수 (λ=1.0)')\n",
    "plt.tight_layout(); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "43e6fe1b",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "## 4. 제약 영역의 기하학 (그림 3, 설명용)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "40abaa61",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:21:43.904829Z",
     "iopub.status.busy": "2026-09-29T10:21:43.904185Z",
     "iopub.status.idle": "2026-09-29T10:21:44.121013Z",
     "shell.execute_reply": "2026-09-29T10:21:44.119800Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x460 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots(1, 2, figsize=(10, 4.6)); t = np.linspace(0, 2*np.pi, 300); b1, b2 = np.meshgrid(np.linspace(-1.5, 2.5, 200), np.linspace(-1.5, 2.5, 200))\n",
    "rss = (b1-1.5)**2 + 2*(b2-1.0)**2 + 1.2*(b1-1.5)*(b2-1.0)\n",
    "for ax, name in zip(axs, ['Ridge (원)', 'Lasso (마름모)']):\n",
    "    ax.contour(b1, b2, rss, levels=8, colors=BLUE, linewidths=1)\n",
    "    if name.startswith('Ridge'): ax.fill(np.cos(t), np.sin(t), color=GREEN, alpha=.3)\n",
    "    else: ax.fill([1, 0, -1, 0], [0, 1, 0, -1], color=GREEN, alpha=.3)\n",
    "    ax.axhline(0, color=GRAY, lw=.8); ax.axvline(0, color=GRAY, lw=.8); ax.set_aspect('equal'); ax.set_title(name); ax.set_xlabel('β1'); ax.set_ylabel('β2')\n",
    "plt.tight_layout(); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "32490cc1",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "## 5. Ridge·Lasso·Elastic Net (docx 3-3, 4-3, 5-4 코드)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "0589c781",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:21:44.123509Z",
     "iopub.status.busy": "2026-09-29T10:21:44.122629Z",
     "iopub.status.idle": "2026-09-29T10:21:44.132120Z",
     "shell.execute_reply": "2026-09-29T10:21:44.131183Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Ridge 계수: [  2.05 -11.66  25.9   16.28 -13.23   0.51  -5.79  10.14  22.43   3.27\n",
      "   1.99  -5.71   3.28]\n",
      "Lasso 계수: [  0.    -5.97  26.04  13.88  -1.83  -0.   -10.5    0.    20.14   0.76\n",
      "   0.    -1.13   0.25]\n",
      "ElasticNet 계수: [ 1.78 -4.67 16.81 10.89 -0.25 -1.92 -7.73  5.63 12.8   5.19  1.14 -1.33\n",
      "  1.7 ]\n"
     ]
    }
   ],
   "source": [
    "ridge = Ridge(alpha=10); ridge.fit(X_scaled, y_train); print('Ridge 계수:', ridge.coef_.round(2))\n",
    "lasso = Lasso(alpha=3, max_iter=20000); lasso.fit(X_scaled, y_train); print('Lasso 계수:', lasso.coef_.round(2))\n",
    "en = ElasticNet(alpha=1.5, l1_ratio=0.5, max_iter=20000); en.fit(X_scaled, y_train); print('ElasticNet 계수:', en.coef_.round(2))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b9f318a9",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "## 6. 계수 경로 (그림 4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "589a7e37",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:21:44.134238Z",
     "iopub.status.busy": "2026-09-29T10:21:44.133583Z",
     "iopub.status.idle": "2026-09-29T10:21:44.732188Z",
     "shell.execute_reply": "2026-09-29T10:21:44.731171Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x440 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lams = np.logspace(-2, 3.3, 80); ridge_path = np.array([Ridge(alpha=l).fit(X_scaled, y_train).coef_ for l in lams])\n",
    "la, lc, _ = lasso_path(X_scaled, y_train.values, alphas=np.logspace(-2, 2, 80), max_iter=20000)\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(12, 4.4))\n",
    "for j, c in enumerate(cols):\n",
    "    st = dict(color=GRAY, ls='--') if c.startswith('noise') else {}\n",
    "    ax1.semilogx(lams, ridge_path[:, j], label=c if not c.startswith('noise') else None, **st); ax2.semilogx(la, lc[j], **st)\n",
    "ax1.set_title('Ridge: 0에 가까워질 뿐 0이 되지 않는다'); ax2.set_title('Lasso: 차례로 정확히 0이 된다'); ax1.legend(fontsize=7, ncol=2); plt.tight_layout(); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f3ae2540",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "## 7. 교차검증으로 λ 찾기 (docx 6-2 코드, 그림 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "c93e49d4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:21:44.734465Z",
     "iopub.status.busy": "2026-09-29T10:21:44.733774Z",
     "iopub.status.idle": "2026-09-29T10:21:44.915791Z",
     "shell.execute_reply": "2026-09-29T10:21:44.914936Z"
    },
    "lines_to_next_cell": 0
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "최적 lambda(λ_min): 0.91,  1-SE 규칙(λ_1se): 4.67\n"
     ]
    },
    {
     "data": {
      "image/png": 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h3HPP7Yywiaib0vw+rJ0YnGNpzMcbYUlKjnFEFEs+RcYpLwcHf1k/awGSbZyElzpOVjTs2FsJm90Ch80Cj0+Gw27BwN6ZsQ6tTYnVI4Q6zGq1Yvr06Xj22Wejds6NGzfi5JNPRkpKCk488cSQ2qNDhw7h0ksvRVZWFgYOHIjHH38chmGgtLS0xeZJt9xyi3n8okWLYLVaMXv27FZj+OCDD5CTk4PTTjutzXiXLl2KrKwsJhVEREQUd+pGhLIlWMdtIMbDzXY3rbWvtAgCHFZbWGVFQYAzjLLt+WZElmW88cYbKCkpwZYtWzBixIiIz9HYrFmzMHLkSDz77LP43//+Z47IpSgKJk2ahIkTJ2L9+vXYt28frrzySgwYMAATJkxoMrJXneTk4DeApaWl+Mtf/oK33nrLnGW9JXv37kXfvn3x+uuv47777oPf78fcuXNx++23N+mb8eyzz+Lqq6/u8PsmIiIiijZZ0aEbgJiAfSyYWERRXXVoc07vPQiLz7zSXB//z/sQUJVmy44qOCpkXOyp/3qw2fabW676S8QxvvHGG8jOzsYpp5yCl156KSqJRXV1NSZOnIhhw4aFNJF64403kJSUhEceeQSCIGDw4MGYP38+Xn31VZx55pktDv9b56677sL06dMxceJE7N69u9Wy+/fvx//+9z8sW7YMS5Yswfbt23H99ddj4MCBOP/8881yu3btwsaNG/HBBx905C0TERERdQpJ1oAEGw2qDhOLHsQwDCxatAhz585FQUEBbrrpJjzwwAOwWjt2Gzz22GOYP38+PvroI/z+97/HiSeeCAD4+uuv8dVXX4V0+lYUBePGjUNZWRmOPvroZs83b948XHrppXjrrbfw/fffhxVDWloacnJy8K9//Qt2ux1jxozBf/7zH7zzzjshicWXX36J/v37IyMjo93vl4iIiKizeAIy7NbEawYFMLGIqvWzFrS4z9Io81xz6e9bLCs2Krvi4t90LLBaX375Jb799lvMmjULDocDV111FVatWoUpU6Z06LwXXXQRJk+ejCeeeAJTp07FjBkz8Oijj8IwDIwePRovvvhiSPmUlBRkZ2dj8+bNzZ7P5XLh97//PTwej1kDUjdZYk5ODv7xj3+YQw/XKS4uhiiKsNvrm4f169cPW7duDSn3zTfftDifCRFRm0QRaUOONZepZxMFAcfm9DKXiTpKUXVIsg5bgiYWHBWqGd11VKgZM2bA4XCYD/qXXXYZRFHEK6+8Etbx4YwK9emnn2LcuHGoqqrCu+++i5tvvhm7d++O+HOsqKiAz1ff/Gv9+vW45JJLsG/fPmRmZiIlJSWk/HfffYeRI0di3759ZhOrCy64AL169cLixYvNchdeeCHy8/Px+OOPRxQPERERUWfzBRTs2FeJtGQ7LLWdtzkqFMWdvXv3Yvny5Zg7d665bcaMGXjrrbfgdrtbPdbv96O0tBSHDx8GAJSXl6O0tBSyLOP777/HhAkT8MEHH2Dbtm14+eWXkZWVhZSUFMyYMQOFhYW48MILsXHjRvzwww944IEHsGfPnjbjzcrKQu/evc1Xbm4uAKB3795ISUkxh5d94YUXAATnLpkyZQpmz56NrVu34oUXXsD7778f8n4BwOPxICkpKZKPjoiIiKhLyKoOTTfMpCLRJGbUFLElS5Zg4MCBIXM8TJkyBTabDcuXL2/12Ndeew2FhYUYPTo4dvv48eNRWFiIdevWYdCgQZg2bRp+97vfYfTo0fjmm2/w9ttvw2q1wm63Y/Xq1cjPz8e5556LsWPH4ptvvonK+9F1HYZhQNd1c9urr76K/Px8TJgwAffffz9ee+21Jp3TmVgQERFRvArIaqxD6BA2hWpGd2wKJUkS/H4/Oy0TEXWAFvBj0+XnAQBOWvYOLE5+UdGT+VUZF771dwDAmxfcjCQrJ8ijjvnpYDU8fhnpKfXD7CdSUyh23u4hHA5Hs3NBbN26FaeeemqLx61btw7HHXdcZ4ZGRJQ4DANS6UFzmXo2wwAOeqrMZaKO0HQdAVmF1WqJdSjtxsSihxs8eHCLozMBwdGWiIiIiKhzyYoORdWR7LS1XThOMbHo4RwOBwYMGBDrMIiIiIh6NEXVoGmJO9QswM7bREREREQxJys69ARvUsfEgoiIiIgoxrwBBdYErq0AmFgQEREREcWUYRjwS2pCN4MC2MeCiIgofIKA5KOONpepZxMEoH9GnrlM1F51Hbcd9sQdEQrgPBbN6o7zWBARERFRfKrxydixrxJZ6U4IjbLURJrHIrHrW4iIiIiIEpysaICBJklFomFiQUREREQUQ35ZhWhJ7KQCYGJBREQUNi3gx6aZ52HTzPOgBfyxDodizK/KuOCtv+OCt/4OvyrHOhxKYF6/Cpsl8R/L2XmbiIgoXIYB38+7zGXq2QwD+KnqkLlM1B6KqkFRtYQfEQpgjQURERERUcwER4TSYLUm9ohQABMLIiIiIqKYkRQNmg5YRPaxICIiIiKidpIVDUI3SCoAJhZERERERDHj9SvdouM2wMSCiIiIiCgmVE1HQOkeHbcBjgpFREQUPkGAo6DIXKaeTRCAotQMc5koUrIa7LidmmyPdShRIRgGB0hrzO12w+Vyobq6Gunp6bEOh4iIiIi6oSqPhF0HqpDtSmqxjMcnw2G3YGDvzC6MrH26R70LEREREVGCkRUt1iFEFRMLIiIiIqIY8AUUWLtJx22AfSyIiIjCpkkBbLn+SgDAiMeXwuJwxjgiiqWAquDqD54GADx39lw4rbYYR0SJRNcN+KXWO25/tnk/ftxfhcF9M5GdnoSs9Pj+m8PEgoiIKFy6jpr/bTOXqWfTDQPbyg+Yy0SRkFUNsqoh2dny4/hnmw9g0//KgLWAAAGXnzmkCyOMXPepeyEiIiIiShCyokHT9BabQhmGgZ37q8z1Yf1zuiiy9mNiQURERETUxWRFhwFAaGGs4vJqP6o8EgDAIgoYXMxRoYiIiIiIqBG/pMIitjwBys59VeZy34I0OOyWLoiqY5hYEBERERF1IcMw4JNUWK0tJwsNm0Ed3Suj84OKAiYWRERERERdSFF1yIoGeysjQv3YILEY0MvVBVF1HEeFIiIiioAtI/7bOVPXyXQkxzoESkCSokFRNaQkNT9Esa4boYlF74yuCayDmFgQERGFyZKUjFNXfB7rMChOJNvs+OTyu2IdBiUgSdZgABBb6GNxsNwDn6QCABw2C3rnpnZhdO3HplBERERERF3I45dbnXG7Yf+KfgXpsCTI7NyJESURERERUTegqDq8ARV2W3gdt/sXpXdBVNHBxIKIiChMmhTA5htmY/MNs6FJgViHQzEWUBX83wfP4P8+eAYBVYl1OJQgJEWFrLSeWPyYgCNCAexjQUREFD5dR/U3/zWXqWfTDQP/Lf3ZXCYKhyRrMAy0OIeFour46WC1ud6/KDFGhAJYY0FERERE1GVqfArEVvpM7C1zQ1GDX1ykJduQl5nUVaF1GBMLIiIiIqIuoGo6vAEl7P4VR/fKgCC0PDt3vGFiQURERETUBSRZg6xocLSWWOyrMpcHFSfWvDlMLIiIiIiIukBAVqEbRov9KwBg5/5KczlRJsarw8SCiIiIiKgLePxKq0lFQFaxr6zGXB+YYIkFR4UiIiKKgOhMnI6U1PmcVlusQ6AEoem1/SvsLT9+/3SwGnrtAGPZ6U5kpTvh8cldFGHHMbEgIiIKkyUpGaev3hTrMChOJNvs2HDFn2IdBiWIgBTsX5GWbG+xTMP+FYnWDApgUygiIiIiok4XUDSougFLK0PNNpwYL9E6bgNMLIiIiIiIOp2vjf4VALAjgTtuA0wsiIiIwqZLEr697Xp8e9v10CUp1uFQjEmqgvkrl2L+yqWQVCXW4VAc03QdHr/S6jCzNT4ZpUd85noiJhbsY0FERBQmQ9dQsf5zc5l6Ns0w8Pn+HeYyUUskWYOkqEhtpX9Fw2ZQRTkpSE1KvIEBWGNBRERERNSJArIGVTNgbaV/RcMZtxNtmNk6TCyIiIiIiDqRT1JgsbTev6LhiFADeydex22AiQURERERUafRdQM1XgX2VvpXAI1m3C7O6OSoOgcTCyIiIiKiThJQNEiqBru15cTiSLUflTXBASFEUUD/wvSuCi+qmFgQEREREXUSSVahaTps1vD6V/TNT4Ojldm54xkTCyIiIiKiTuINKBCECPpXJODEeHUSMx0iIiKKAUtSMsau+y7WYVCcSLbZseWqv8Q6DIpjum7A64usf0WijggFsMaCiIiIiKhTSIqGgKK1OjGeYRj4cX+1uZ6IE+PVYWJBRERERNQJArIKtY3+FSVHvPAGgjO3260i+uSndVV4UcfEgoiIKEy6JGHbXb/Gtrt+DV2SYh0OxZikKrh9zau4fc2rkFQl1uFQHPJLKtBW/4oGHbf793K1OolevEvcyImIiLqYoWsoX/MflK/5Dwxdi3U4FGOaYWDl7u+wcvd30Awj1uFQnDEMAzU+BY5WaiuA7jExXh0mFkREREREUSYpGiRFhcMewcR4Cdy/AmBiQUREREQUdQFZg6LqsLUyMZ6m6fjpoNtcT+QRoYA4SSxkWcbgwYPRr18/c5sgCE1eu3fvNvevW7cOo0ePRnZ2NmbNmgWv1xtyzqeeegoDBw5EcXEx7r33XhisoiQiIiKiLuIPqGi9dwWwt6wGshJsVpnitKEwO6XzA+tEcZFYLFmyBAcPHmyy/c0330RJSYn5Ki4uBgCUlpZiypQpmDJlClatWoUdO3Zgzpw55nErVqzAjTfeiAceeABLly7Fww8/jKeeeqrL3g8RERER9VyGYcDtk8OYv6LKXB7Q2wVRbCsViW8xTywOHz6MhQsXYv78+U32DRo0CAUFBebLYgn+cl555RUUFRVh4cKFGDlyJBYtWoQ33ngDhw4dAgA8/vjjmD17Ni666CJMmDABv/nNb/D444936fsiIiIiop6prn9FJIlFonfcBuIgsfjjH/+IkSNH4qyzzmqyLycnp9ljPvnkE0ycONGcHn306NGw2+344osvzP2TJk0yy0+YMAFbtmxBZWVls+cjIiIiIooWyexf0daIUN2n4zYAWGN58W+//RYvvPACvv76a5SVlTXZf9NNN+GLL75AcXExFi5caCYfZWVlGD16tFnOarUiPz8fZWVl8Hq98Hg8KCgoMPcXFRWZx2VmNs0GJUmC1GA8crfb3aQMERGR6EzCmI83msvUsyVZbVg/a4G5TFTHLwf7VwitzGEhKRr2lNWY64OKMzo/sE4WsxoLwzBwyy234LbbbsMxxxzTZP/8+fPxq1/9Cm+//TaGDh2Kc889F9u3bwcAVFZWIi0tdFbCtLQ0VFRUoKqqylxvuA8AKioqmo3l/vvvh8vlMl91fTmIiIgaEgQBlqRkWJKSW31goJ5BEAQk2+xIttl5P5ApOH+FDFsbzaB+PlgNXQ8OLpSZ5kC2K/G/rIhZYvHOO+/g559/xu9///tm9//jH//AtGnTMGrUKDz11FPo1asXli9fDgDIyspCTU1NSHm3243s7GxkZWUBQMj+uhqI7OzsZq915513orq62nzt27evw++PiIiIiHoeWdERkLS2+1d0o4nx6sSsKVTdSFB9+vQBACiKgpqaGuTk5OCdd97BaaedZpa1WCwYPHgwDhw4AAAoKChASUmJuV9VVRw6dAgFBQVISkpCenp6yP66Eafy8/ObjcXhcMDhcET9PRIRUfeiyzJ2/G0hAGDQHQsg2u0xjohiSdZU/Hnd2wCAP5x6PuyWmLYwpzghKSoUVUNqcuvN4xpOjJfo81fUiVmNxbJly/Djjz9i8+bN2Lx5MxYsWICioiJs3rwZw4YNCymrKAq2bduGIUOGAADGjx+PVatWmXNTbNiwAYqiYMyYMSH766xevRonnHACMjIyuubNERFRt2RoKspWvIOyFe/A0NRYh0Mxpuo63v3xG7z74zdQdT3W4VCc8EkqDLTevwJoNCJUN+hfAXSgxqKiosJsdtQeubm5IetZWVmwWq3o3bs3JkyYgP79+2PWrFnIy8vDX//6VyiKgpkzZwIALr/8cixYsAALFizAhRdeiFtvvRUzZswwmzpdf/31mD59OqZMmYKMjAw89NBDeOihh9odKxERERFROGp8cquzbQOAx6/gYHn95M7dYUQooAM1Fr17945mHCFee+012Gw23HDDDfjFL36BsrIyrFmzxkxk8vLy8OGHH+KDDz7AhAkTMGjQIDz55JPm8ZMnT8bixYtxxx134Morr8Ttt9+Oq6++utPiJSIiIiKSFQ2SpMFhbz2x+LFBbUVBdjLSkrtHs8o2ayxkWW6yzTAMGIYBRVHM5kgN2dvR5nT27NmYPXs2gGBtRlsT2p1yyinYtGlTi/vnzp2LuXPnRhwHEREREVF7BGQNsqYjpY3hh3/sZhPj1WkzsXA6nc22ETMMA06ns8k2QRCgaVr0IiQiIiIiSgB+SYFhhNO/ovt13AbCSCx+/vnnroiDiIiIiCiheXwKbNa25zTpjh23gTASi759+5rL//znP3HppZc2KfPuu+9i9OjRIbNdExERERH1FIqqwS+rcLQxf0WFO4Aj1QEAgCgA/YtcXRFel4io8/a8efOabPv2229x7bXXmjNeExERdVeiMwmnvP8ZTnn/M4jOxJ8llzomyWrDmst+jzWX/R5JbbSpp+7PL6mQVb3NEaEa1lYU56fBae8+859ElFg07Kit6zpefPFFjB07Fv/v//0/c44JIiKi7koQBNgzs2DPzGqzDTV1f4IgIMuZgixnCu8HgtevAoYBUWz9XuiuHbeBMOexqKup8Pv9uPHGG1FaWoqNGzdi8ODB+Pzzz3Hsscd2apBERERERPFK1w24vRLsYdQ+bN9bYS53p/4VQJiJRUpKirnscDhgt9vhdDpx+PBhlJeXd1pwRERE8USXZex69G8AgKNvugNiO4ZXp+5D1lQ8tHEFAOD20VNht3SfJi0UGb+kwi+rSG1jPgpJ0fD97vrEYmi/tieb1g0DFrHdU891qbD+BTz44IMAgGeffTZkBuv3338fM2fOxCWXXIJHHnmkcyIkIiKKE4am4uCb/wQA9L/h1wCYWPRkqq7jtf9tAADcMmoK2pgTjboxv6RC1w1YLa0nAN//fASKqgMAstKdKM5La/PcimogLTkx+vC0u48FAEybNg0bNmzAW2+9haVLl0Y1MCIiIiKiRFDtkWC1tv1YvXnnYXP5+IG5bfbNCc4RhzZHmooXEdXZPfbYY0229erVC0uXLm12Bm4iIiIiou4sIKvwSWpYozt9s/OQuTxyYG6b5RVVh80iwmFLjGZ2EdVYXHbZZc1uP+OMM9C/f/+oBERERERElCj8kgpJ0WAPY/6KPaU15vpxA9pOLOTa89ptidHHImpRcmQoIiIiIuppPD4FFkvbww1v+bG+GVT/IhcyUh1tHiOpOtKT7QkznHHYicXatWsxZswYFBcXY/78+ZAkKWQ/m0IRERERUU+iqDrcPhmOMJpBNe5fEQ5DN+B0JEb/CiDMxGLHjh0477zzcOWVV+K1117Dvn37cN1114WUSZRMioiIiIgoGuqaQTnbaAZlGEZIYhFu/wqrVQwraYkXYUX6j3/8A7/97W8xd+5cAMDrr7+Oo48+Gvv370fv3r07NUAiIqJ4ITqcOHn5R+Yy9WxOqxUrfnm7uUw9jy+gwAhjtu09pW5UeYKtfew2C44JY/4KRdXgsFraTFriSVg1Fhs2bMAvf/lLc93hcJhDzRIREfUUgijCWdgLzsJeEBJkwirqPKIgoldaJnqlZUIUeD/0NLpuoNobXjOobxrUVgw7Khs2a9vJgqxoSE2ytZm0xJOw0uv9+/ejV69eIduKiopw6aWXwmazwTAMyLLcKQESEREREcWbgKzCLyltzrYNtK9/haYZSHYmVk1YWOl1bm4ujhw5ErKtoqIC9957LzZt2oRNmzbB6WSVMBERdW+6omDX4oewa/FD0BUl1uFQjCmaikc2fYBHNn0ARVNjHQ51MV9Ahaa1Pdu2pGjY9nP9c3Q4iYWmGxBFwJFg07mHlVgMHz4cK1euDNm2cuVKTJ8+HcceeyyGDRsGiyWx3jgREVGkDFXB/mUvYP+yF2CoTCx6OkXXsfS7tVj63Voouh7rcKiLub0SbGHML/HD7iNQ1OD9kZnmQJ/8tDaPUVQNNqs1YSbGqxNWtPPmzcMll1yC4cOHY8iQIbj33ntRWFiIY445prPjIyIiIiKKK5KswRtQI+5fMXJgXlgjqQb7V9hhsyZW352wEotTTz0Vf/jDHzBu3Dj4fD6cdNJJWL58eWfHRkREREQUd3ySAlnVkJYSRv+KHQ36VwwKr3+FohpISbD+FUAEE+Rde+21qKioQElJCdavX4+ioqKQ/Zwgj4iIiIh6Ao9PCWu0psqaAHaXus31EQPaTiwMw4AAA0mObpxYAIDVakVubvMfyL///e+oBEREREREFK9ULfzZtrf8WF9bcVRhOjJSHW0eo6g6bFZLwvWvACJMLBpqnEiMGzeuo7EQEREREcU1XyC82bYB4JsGzaBGDsoL6/yyosFus8AeRsfweNPuiK+88spoxkFEREREFPd8UnizbRuG0a75KyRVR1qyLaxO3vEmrDqWPn36wGq1IjU1FQMGDMA999wDANB1Hccee2zIGxcEAdu2beucaImIiGJIdDgx6uW3zWXq2ZxWK5aff5O5TN2frhuo9shwhFFbsafUjSqPBACwW0Uc0zcrrGsYemL2rwDCTCyqq6uxfPlyuN1u7Ny5E8nJyQAAURTx4IMPYvbs2Vi6dCkMw8All1zSqQETERHFiiCKSOk/INZhUJwQBREDMvNjHQZ1oYCswi+rSE2ytVm2YW3Fsf2zYQ8jGVE1HVarGFb/jXgUVtQOhwOTJk1qdt8555yDpKQkTJs2LXhCZuxERERE1A35JRWaqrc52zbQdP6KcMiKBofVAkcC9q8Awkws2pKIbcCIiIgipSsK9i59CgDQ58prINra/taSui9FU/HM1k8BAHOOGwubhV+udnfVHgnWMCatkxQN3/98xFwfEWb/ClnRkJnmhEXsAYnFd999h6uuuqpJIsE5LIiIqCcwVAV7nnscAFA88yqAiUWPpug6nti8GgBw5bDTEUZLF0pgkqzBF1DhDKP/ww+7j0BWdQBAZpoDffPTwrqGrhthNbOKVxElFoWFhbj99tthGAbmzZvXWTEREREREcUVv6xCUjWkJEfWv+L4gblhte7RdQOCADjsiZuhRlTPkp2djRkzZuDSSy8N2c6mUERERETUndX4ZAiCENZzb2hiEWb/ClWDzWoNa8SpeBVWjUVLTZ0Mw8A111yDI0eO4JprroFhGAgEAlENkIiIiIgollRNh9srh9UMqrImgJ9L3Ob68QNywrqGrGhIcdhgs3bzxOLcc89tcV9GRkZIs6ibb76541EREREREcUJv6RCklW40tqev2bLj/W1FUcVpiMjjGMAQFUNpGYmbv8KIMzE4rnnnmuyzTAMCIKABx98MOpBERERERHFC29AgQEBljZm2waa9q8IR7B1UOJOjFen3WNZVVZWRjMOIiIiIqK4Yxh1s223/dhsGEa7+lcoqg6b1QKHLbETi8SOnoiIqAuJdgdGPvOquUw9m8NixSvnXG8uU/fklzX4ZRUpzrabKe0pq0FljQQAsFtFDO2XFdY1ZEWD3WaBPUEnxqvT5r+CY445JuJRn77//vt2B0RERBSvBIsF6UOHxzoMihMWUcSw3N6xDoM6mT+gQNN02MKYGG/zjkPm8tCjsmEPc4QnWdWRle5M+JFW20wsnnjiia6Ig4iIiIgo7lR7ZVgt4dUkbG7QcXtkmP0rgGATqkTvXwGEkViMHTsWb775Ztgn7NOnT4cCIiIiile6ouDA6y8BAHpdcgVEzrzdoymaile+Xw8AmDn0FNjYHKrbkWQNPr8CZxiT1smKhm0/HTHXjx8UXv8KVdNhEYWEnr+iTlj/Av7xj3+ErH/xxRc47bTTmi171llnYdSoUR2PjIiIKM4YqoKfljwCACi68FKAiUWPpug6/t9/PwQAXDLkZHSD50JqxBtQEFDCm237+90VkFUdAJCZ5kDf/LSwrlHXvyKRZ9yuE1ZisWbNGuzbtw/FxcUAgMzMTKxZs8bcv2LFCpx55pmw8Q8sEREREXUDhmGgyiPBahXDnG27vn/FiAG5YfeXkFUdmakOWMTE7rgNRDDc7IgRI8zl4cPrO6498cQTmDFjBn766afoRkZEREREFCMBWYPHLyM5zL4PDYeZHTko/P4VuqYjNal7fDkfdmPA4MQdQR9++CHeeecdLF68GPv378fHH3+MwYMHd0qARERERERdzetXoCg60lPabqJUVRPAzyVuc33EgPASC103IAgIe/SoeBd2YlFdXY0+ffrA6/WiqqoK6enpeO6553D++ecn/NBYRERERER1dN1ARU0A9jD7PWz+sdxc7leQjsw0Z1jHyaoGm9USVufwRBB2YpGSkoJXX30VHo8H+/fvx5o1a3Drrbdi7dq1+O1vf4u8vPB6vhMRERERxTOfpMDrV5CWYg+r/Nfby8zl4yNoBiUrOlIcVtisPSyxsFqtISNB/d///R8qKytx++23Y+TIkVizZg0GDRrUKUESEREREXUVj1+BbiCs+StkRcPGH+oTixPDHGYWABRVQ0pmUrtijEdhJxZXXHFFk22ZmZl49tlncfvtt+O///0vEwsiIurWRLsDIxY/Zy5Tz+awWPHMlP8zl6l7UDUdlW4JTkd4tQhf7zgEv6QCAFypdhzbPyes4+r6LyfZu8+9IxgNe2UTAMDtdsPlcqG6uhrp6emxDoeIiIiIuojbK+HHA9VwpTpgEdvuR/zwq1/hsy0HAABn/6Ifrjv/uLCuo6ga/JKKQcWZcHaT5KLdA+Yef/zxUQyDiIiIiCj23D4ZAMJKKiRZxcYfSs3104/rFfZ1JEWHw2btFjNu1wkrPXrqqacgiiIcDgfy8/NRXFyMvXv3Nlt2+vTpePfdd6MaJBERUTzQVQUl77wBACg875cQrd1j7HlqH0XXsHz7JgDARYNPgk3sPg+IPZWiaqiqkZEU5twV/91+CAFZAxCcbfuYfllhX0tWNGSk2rvV6KphfWo33HADxowZA1mWUVpain379iE1NbXZsp988kk04yMiIoobhqLgx4f/AgAomHoewMSiR1M0Dfd/+W8AwPQBJzCx6AY8fgWSoiIrKbzhYr/YetBcPm14EcQwajnq6LqBZEf3+hsSVmKRmpqKNWvWmOuapsHpdGLq1KkAAJvNhnfeeadzIiQiIiIi6gLVHgkWUQirFsEvqdj0v/rRoMaMCL8ZlKbpsFqEbjN/RZ2wEovGH67FYoHNZsN5551nrhMRERERJaqArKLGpyDJGV4twqb/lUFWgs2gclxJGFycGfa1JFWH3WaBoycmFs1xOp249tproxkLEREREVFMeP0KJFULe1K8L7YeMJdPG14YUTOogKQiNyMJFrHd4yjFpXYnFoFAAM8//zwMw4DFYsGVV14ZzbiIiIiIiLqEYRioqAnAbg3vQd8XUPDV9kPmeiTNoAzDgGEYSEsOL4FJJO1OLBRFwbJlywAAdrudiQURERERJSS/pMIbUJESZjOojT+UQVF1AEBeZjIG9s4I+1qyosFhtXSrifHqtPsdpaamYuXKlQAAXdeh67qZgRERERERJYoanwxN02ELs8ZibYNmUGOOK4poyFi/rMGVYu92/SuAMBOL5pKFhh+gy+WCz+eDYRjdaixeIiKihkSbHcMeXGIuU89mt1jwj0lXmMuUmDRdR1WNFPZEdR6/gm92NGgGdVxRRNdTNR3pKY6IjkkUYSUWu3btarKtYbKxZcsW1lQQEVG3J1ityD5tbKzDoDhhFS04o3hIrMOgDvIFVPgkBemp4c1dsfH7Eqha8Lm3IDsZ/YtcYV9LUTXYLGLYE/AlmrDeVVZW01kEb7/9dnO5f//+0YuIiIiIiKiL1PhkGAZgCXNUp7UNJsUbc1yvyJpBSRqSnVYkdcNmUEAH+ljcdddd0YyDiIgo7umqgkMfvQ8AyJs8DSJn3u7RFF3Dil1bAABTjx7BmbcTkKLqqKyR4Ayz03aNT8bmnYfN9dMjbAalqBoKspK7bdeBNhOLvXv3trjP6XQiLy8PAFBaWoqCgoLoRUZERBRnDEXB9r/cDQDInXAWwMSiR1M0DX9cuxwAcGa/YUwsEpAvoCAgq8hKD68Z1JfbSqDpwWZQvXJT0bcgPexraZoOURCQ7OyezaCAMBKLfv36QRAEs2N2w5/jxo3Du+++izPPPBMbNmzAsGHD8PHHHyM3N7crYiciIiIiardqrwRRFMKuQQhtBhXZaFABRUOSw9pt+1cAQJtjavn9fvh8Pvh8PmRlZcHv9yMtLQ1+vx8fffQRHnvsMfTt2xdVVVUYN24cHnjgga6Im4iIiIio3SRZg9sjIznMB/1qj4Stu8rN9UhHg5IkFa4UR7ebbbuhNt+Zw+GAw+GA0+k01wVBgCRJsNlsWLFiBa6++mqkp6dj7ty5eP/99zs9aCIiIiKijvAEFAQUDY4wJ6pbv60Eem0zqD75aeiTH34zKF03AEFASlL3ra0AwkgsAOC3v/0tli5dim3btgEAtm/fjv/7v/8DABw8eBAjRowAAAwZMgSHDx9u8TwtkWUZgwcPRr9+/cxtZWVlmDZtGjIyMjB27Fjs3Lkz5Jh169Zh9OjRyM7OxqxZs+D1ekP2P/XUUxg4cCCKi4tx7733cjhcIiIiIgIQnDahuiYQ9oR4ALB2S2gzqEgEFA0OmwVJju7dLyustOnrr7/Gxo0bceBA/SyDO3bsABCcddtSOylMe3u4L1myBAcPHkR2djaA4C97+vTpyM/Px2effYZHH30UkyZNws6dO2G321FaWoopU6bglltuwQUXXIBrr70Wc+bMwauvvgoAWLFiBW688UYsW7YMmZmZuOiii5Cbm4trr722XfERERERUffhlzXU+JWwO1JX1gSw7ef6ZlCnHdcroutJsoqc9KSIEplEFPa7q6iowM6dO81XdXU1fD4fCgsLsXXrVgDBZCMzMzOiAA4fPoyFCxdi/vz55ra6ROaJJ57AcccdhyVLlqCiogIrVqwAALzyyisoKirCwoULMXLkSCxatAhvvPEGDh0KzoL4+OOPY/bs2bjoooswYcIE/OY3v8Hjjz8eUVxERERE1D15fDI0TYfNGt5IXuu+K0FtKygcVZiO3rmpYV/LMAzouoHU5O5dWwFEkFicd955eP75583XqaeeioqKCkyePBmvvvoqdF3Hq6++iilTpkQUwB//+EeMHDkSZ511lrntk08+wdChQ1FUFKxmcjgcOO2007BmzRpz/8SJE80aktGjR8Nut+OLL74w90+aNMk834QJE7BlyxZUVlZGFBsREVFDos2Oofc+jKH3PgzRZo91OBRjdosFD467FA+OuxR2C4eaTRS6bqCyRoLNFv7v7ItGk+JFQlY0OKwWJHfzZlBABBPkff7557jvvvvM9R07dkCSJMybNw+nn346UlJSkJ+fbz7ch+Pbb7/FCy+8gK+//hplZWXm9rKysiZzYhQVFZllysrKMHr06Po3YbUiPz8fZWVl8Hq98Hg8IcfXJShlZWUR16gQERHVEaxW5E6YHOswKE5YRQvOOmp4rMOgCHn8Crx+Ga5UR1jlj7gD+H73EXP9tEj7V8ga0pLtcHTT2bYbCjuxKC8vxw8//GCu19TUQFEUZGVlYevWrdi+fTsGDhwImy28bMwwDNxyyy247bbbcMwxx4QkFpWVlUhLSwspn5aWhv3797e6v6KiAlVVVeZ6w31AsDlXcyRJgiRJ5rrb7Q7rPRARERFR4jAMAxXuAARRgMUSXsOddVsPom4MoKN7uVCYnRLRNRVNhyulZ9RwhpVY5OfnY8qUKbjtttvMbTfccANUVQUAWCwWDB06NKILv/POO/j555/x73//u8m+rKws/PTTTyHb3G632bk7KysLNTU1ze7PysoCgJD9dYlC3fGN3X///Vi4cGFE8RMRUc9jqCrKP/sYAJBzxkQI1u49dCS1TtU1rN7zPQBgQt+hsHLm7bjnC6io8kpITQq/WdLab+sHL4q0GZSi6rBZRCQ5u38zKCDMxOLll19usu0Pf/gDcnJy2n3hupGg+vTpAwBQFAU1NTXIycnBrbfeipKSkpDyBw8eNJOXgoKCkP2qquLQoUMoKChAUlIS0tPTQ/YfPBhsF5efn99sLHfeeSd+/etfm+tutxvFxcXtfm9ERNQ96YqM7+8Ofsk25uONsDCx6NFkTcNvPvknAGD9rAVMLBJApScQUaftw1V+/G9PfR/d04ZH2gxKDc623QOaQQERdN5urKCgANYO/EFdtmwZfvzxR2zevBmbN2/GggULUFRUhM2bN2PSpEn44YcfzOFtA4EAvvjiC0yYMAEAMH78eKxatcqcm2LDhg1QFAVjxowJ2V9n9erVOOGEE5CRkdFsLA6HA+np6SEvIiIiIuo+/JKKSndktRXrvq3vtD2oOBP5WckRXVNWNLhS7O2ekiHRxGww3dzcXPTu3dt8ZWVlwWq1onfv3jj55JNxyimn4LrrrsPWrVsxf/585ObmmiNOXX755SgrK8OCBQuwefNm3HrrrZgxY4bZ1On666/H0qVL8eabb2L16tV46KGHMG/evFi9VSIiIiKKsWqvBFkNf6ZtAPh8a8NmUJHVVmiaDlEQkBJBIpPo4naWjrfffhuapuGMM87Azp07sXLlSrNjeF5eHj788EN88MEHmDBhAgYNGoQnn3zSPHby5MlYvHgx7rjjDlx55ZW4/fbbcfXVV8fqrRARERFRDCmqhiPVASQ5wk8qyiq82Lmvylw/NdJmUIoGp90a0TUTXVjv9JxzzsE555yDqVOnmn0iom327NmYPXu2uZ6Xl2dOiNecU045BZs2bWpx/9y5czF37txohkhERERECajaI8Mvqch2OcM+Zm2DuSuO6ZuF3IykiK4pSSoKslNgEeP2e/yoC+ud9uvXD4888giOOuooHHfccbjzzjuxdu1a6Lre2fEREREREbWbquk4Uu2H024Ju6+DYRhY9d+95nqkc1fougEIQkT9ObqDsBKLxYsXY8eOHdi1axduuOEG7NixA+eccw5yc3Mxc+ZMLFu2rMU5IoiIiIiIYqXGJ8MTUJAcwZCv234+goPlXgCA1SJi7PGRDTMrKRrsVguSesBs2w0JRt3QShHSNA1ffvklVq1ahZUrV+Krr77CqFGj8Pnnn0c7xi7ndrvhcrlQXV3NEaKIiMikqwoOffQ+ACBv8jSI1p710EChFF3Dil1bAABTjx4BG4ebjTu6buCng9XwBpSwZ9oGgP/32tf45JvgxMynj+iF2y87MaLrVtYEkJ3uRJ/8nvUc2e7eJBaLBccddxwqKipQXl6OvXv34quvvopmbERERHFFtNpQMO38WIdBccImWnDewBNiHQa1wuOX4fbJEc187fHJIcPMnnVSZP2LDcOArhtIS+4Zs203FFFvEsMw8NVXX+G+++7DGWecgezsbMybNw+KomDJkiUoLy/vrDiJiIiIiMJmGAaOuAMQBMBiCf+R95Nv9kNWg/2IC7KTMax/ZBNCy6oOu9WC5B7WDAoIs8bixRdfxEcffYSVK1eioqICJ510EqZNm4ZHH30Uxx9/fCeHSEREFB8MVUXFhi8AAFknnwaBM2/3aKquYd2BnQCAU3sN5MzbccYXUFHtlSPqQG0YBv6zaY+5fuZJfSGKkU1uF5BUpCXb4eghs203FNZfxBtvvBGTJ0/Ggw8+iLPPPht5eXmdHRcREVHc0RUZ3/3mBgDAmI83wsLEokeTNQ03rnoJALB+1gImFnGmoiYATdNhs4b/e9mxrwp7SmsAABZRwMQTiyO+rqLpETW96k7C+otY18SpboK65vzvf//DkCFDohMVEREREVE7+SUVVTVSxMO9/mdjfW3FScfkIzMt/HkvAEBRdVgtIpIiGIGqOwmrwdlnn32Gk046qcV5K0pLS/GLX/wCq1evjmpwRERERESRqvZKkFUNDnv4tYo+ScXarQfM9bNG9434ugFZRZLdiqQe2AwKCDOxeOCBBzBnzhyILcwcWFBQgHvvvRf33XdfVIMjIiIiIoqErGg4Uh1AkiOypoqfb96PgKwBAHIzknD8wMib/kuyhoxUe9gT8XU3YSUWmzZtwplnntlqmYkTJ+Lrr7+OSlBERERERO3h9srwS2rEicV/NtXPtD1pVB9YIuy0rekGLCKQ0sNm224orMTiqKOOwq5du1ots2fPHhQVRTbdORERERFRtKiajiPVfjjtlohqDX46WI0f91cBAEQBmDgqsrkrgGC/DqfdFnFC052ElVice+65uPPOO+HxeJrd7/F4cNddd2HatGlRDY6IiIiIKFw1PhmegILkCDtPN+y0PXJQHnIzkiK+tiSryEp3wNJC14GeIKyU6g9/+APWrFmDQYMGYf78+TjhhBOQl5eHsrIyfP3113jsscfQu3dv/PnPf+7seImIiGJGsNkw4La7zGXq2WwWC+78xbnmMsWWrhsor/bDahEjmntCklV8tnm/ud6eTtuKqsFqEZGW4oj42O5EMAzDCKegqqp4+umn8dhjj2Hnzp2QZRk2mw0DBgzAddddh2uvvRZ2e/cYs9ftdsPlcqG6uhrp6emxDoeIiIiI2uD2SvjxQDVcKfaIZtpe/dVe/P1fmwEAmWkOPPO7M2GN4HgAqPJIcKXY0a8gvcd23AbCrLEAAKvViuuvvx7XX389dF1HeXk5cnJyWhwpioiIiIioKxiGgSPuAAQBESUVAPCfjfWdtiee2CfipMIwDGiajoxUR49OKoAIEouGRFHk7NtERNTjGJqG6i1fAQBcI06EwOYvPZqm6/i6bDcA4IT8fj26bX2s1fjk4IR4yZE1UdxbVoMf9lSY65NOam+nbStSk7pHy52O6Lnd1omIiCKkyxK2zL8aADDm442wJCXHOCKKJUlTMefDZwEA62ctQLLIB8tY0HQdhyr9EATAZo0s2V+5qb7T9nEDclCYnRLx9f2ShqLsFNisTCz5CRARERFRwqryyKj2ShF3nFZUDWu+btBp+6T2dNrWYRGB9BQmlQATCyIiIiJKUIqq4VCFDw6bJeIJ7dZvK0WNTwYApCXb8YtjCyK+vl9SkJpkR7KTjYCAMJtCjR8/PuzOKKtXr+5QQERERERE4ThSHYA3ICPbFfm8EysbzF0x4YTeETejMgwDsqKjV66zx3farhNWYjFq1Chzec+ePVi/fj1++ctfmts0TcNzzz2H++67L/oREhERERE14pNUHK7yIyXJHvGDfckRL7buKjfXz2zH3BUBWYPTbkFaEue0qRNWYvHggw+ay+eddx4WLVqEiy66KKTMoEGDsGXLluhGR0RERETUiGEYKK/yQVY1pLWjf0PDTttD+2WhOC8t4nP4AwryspJht3F0uDoR97H47LPPMHz48CbbzzrrLLzzzjtRCYqIiIiIqCU1PhlHqgPt6jStajo+/u8+c/3MdnTa1jQdggC4evhM241F3NNkwIABeP7553H//feHbF+xYgWysrKiFhgREVG8Eaw29L/h1+Yy9Ww2UcSto6aYy9Q1OjK8LABs+qEMVR4JAJDitOK04YURn8MnqUh22pHi5N+BhiJOLB566CGceeaZWL9+PSZNmgSr1YoNGzbg3//+N5555pnOiJGIiCguiDYbimdeHeswKE7YLFbMHn56rMPoceqGl81Ic7br+IbNoMaO7A2HPfIRnSRFQ2FWCsQIR6Lq7iJOr8eOHYutW7fi6KOPxjvvvIN//vOfsFqt+M9//oPZs2d3QohERERERB0bXhYADlf58PWOQ+Z6e+aukGQVDqsl4lm+e4J2Dbo7ZMgQPPvss9GOhYiIKK4Zmoaa7d8DANIGD4VgYafNnkzTdfxw5CAA4JjsIljYHKrTdWR4WQBYsX43DCO4PLB3Bo4qckV8Dm9ARY7LCWc7ajq6u7D+Bfh8vjZf27dvx9lnn93Z8RIREcWMLkv4Zs5l+GbOZdBlKdbhUIxJmoqZ7z2Ome89DklTYx1Ot9eR4WUBoNojYcX6n831KSf3i/gcmh7MSjJS2Wm7OWGlWqmpqWH9ApsbLYqIiIiIqCM6OrwsALz12Y8IyBoAID8rGeNO6B3xOfySihSHFSmcu6JZYSUWa9asabNMWloaRowY0eGAiIiIiIga6sjwsgBQVRPAivW7zfVLxg+C1RJ50zVJVpGbm8pmby0IK7EYO3ZsZ8dBRERERNRER4eXBYA3P/0RkhKsrSjIbl9thaxosFpEpHHuiha1q9dJTU0NHnvsMWzevBm6ruOEE07AddddB5cr8g4wREREREQt6ejwshXuAD74cre5PmNC+2orfAEFrlQHkh3stN2SiD/Vn3/+GYMGDcLTTz+N5ORkpKam4plnnsGQIUPw008/dUaMRERERNQDdXR4WSBYWyGrOgCgKCcFY4+PvLZC1w1ousFO222IOOW65ZZbcPbZZ+Ppp5+GpXaYPV3XMXfuXNx8883497//HfUgiYiIiKjnOeLu2PCyR9wBfLhht7k+Y+IgWNpRWxGQVSQ5rEhNal8fj54i4sTis88+wxdffGEmFQAgiiJuu+02nHbaaVENjoiIKJ4IVhv6Xn29uUw9m00Ucd3xE8xlii6PX8ahSl+7h5cFgOVrdkKpra3olZuK00dEXlsBAH5JQ1F2CmxW/p5bE3FiUVBQgF27dmHo0KEh23/66Sfk5uZGLTAiIqJ4I9ps6DfnhliHQXHCZrHi+pETYx1Gt6RqOkqOeKHpBtLb2aehvNqPjzbuMdcvnTioXc2pFFWHRUS7R6TqSSJOu6699lpcc801WLZsGQ4cOIADBw5g2bJluOaaazBv3rzOiJGIiIiIepDDlX5UeWS4OjAC0xtrdkLVgrUVxXlpOO24Xu06jy+gIC3JjmQnO223JeJP6Oabb4bf78c111wDv98PAHA6nbjrrrtwyy23RDs+IiKiuGHoOny7gwOVJPfrD4HNX3o03dDxU9VhAED/jFyIAu+HaHB7JZRVepGebIPYzg7bhyp9WLmpQW3FpPbVVhiGAUXVkZnubHdzrJ5EMAzDaKvQBx98gDPOOAMpKSnmNkVRsHPnThiGgUGDBsFm6z5tTd1uN1wuF6qrq5Genh7rcIiIKE5ofh/WThwNABjz8UZYkpJjHBHFkk+RccrLCwEA62ctQLKNTWU6SlE1/HTQDb+sdmgEpsfe3GI2g+qbn4ZFN49rV5Lik1TomoFBxRmw29o3h0ZPElZqPWvWLJSUlAAA+vfvjyNHjsBms2Ho0KE49thju1VSQURERERdzzAMlFX64PHJcHWgP0NZhRer/rvXXL900uB213z4Ayqy0h1MKsIUVlOolJQUPPDAAzj//POxe/dufPTRR8jIyGi27NSpU6MZHxERERH1ANVeGYcrfUhLaf8oUADw+uqd0PRgg5yjCtPxi2ML23We4EzbAueuiEBYicWDDz6Im266Cc899xwEQcCsWbOaLScIAjRNi2qARERERNS9SbKGknIvLBZLh2oHSo54sfrrfeZ6R2orvAEFmalOJDvZMidcYTWFmjFjBsrKyqDrOgzDQElJCXRdb/JiUkFEREREkQg2gfLCG1CQltyxh/jXV++AXltb0b/IhZOHFrTrPJqmwzCArHTWVkQi4lGhdF3vjDiIiIiIqAeqqJFQXuWHK9XRoSZQB8s9+KRBbcVlkwa3+3zegIrUJBtn2o5Qh8ZFGzZsGPbu3dt2QSIiIiKiRvySipJyL+x2a4dntX7t4x2orazAgN4ZOOmY/HadxzAMyIqGbFdSu5tR9VQdmuljz549UFU1WrEQERHFNcFqQ+/LZ5vL1LPZRBFXDhtjLlNkNF1HaYUXkqIi25XUoXPtP+zBZ5v3m+sdqa3wSyqSHFakd7BZVk/EKQSJiIjCJNpsOHr+7bEOg+KEzWLFr086O9ZhJKwj1QFUuANRGXXptY+3m7UVg4ozceLgvHafyy+p6JWbCpuVQ8xGqkPp9cyZM5GWlhatWIiIiIioB/D6FZRV+JDktMFi6Vhtz94yNz7fcsBcv+zM9tdWSLIKm1WEK4WdttujQzUWTzzxRLTiICIiinuGrkMqC04Y68gvhMDmLz2abugo8VQDAApTXRAF3g/hUDUdpUe8UDQdaR2YCA8AdN3AE29/C6O2tmJI30yMHJjb7vN5AypyXE4kOdiopz3C+hdwzz33wOfzmeuqquKee+7BkCFDkJaWhpNOOglvvPFGpwVJREQUD3QpgA0XTcaGiyZDlwKxDodiLKCqmPrGQ5j6xkMIsM9p2Mqr/aj0SHBFoQnUx1/txbafj5jrV549tN21FaqmQwCQmebscFw9VViJxcKFC+HxeMz1e+65Bw899BAuvfRSPPvss5g0aRJmz56Nl19+udMCJSIiIqLEVlkTQEm5F6nJNlg6OOJSVU0Az7//vbk+eXRfDO2X3e7zef0K0pPtSE1ip+32Cquex6irX6r1z3/+E3//+99x1VVXAQAuueQSDBo0CPfff3+Ls3ITERERUc/l9Ss4cNgDq1WE097xpkbPvLcN3oACAMhMc+BXZw9t97l03YCq6chyOTs0l0ZPF1aNhSAIIR+yw+HACSecEFJmzJgxOHDgQONDiYiIiKiHk2QN+w97gv0qkjs+6dxX28tCOmzPPXd4h2oafJKKZIctKrH1ZGHXWNx8880oLi5GTk4OMjMz8dlnn2HEiBFmmW+++QYjR47stECJiIiIKPGomo6DRzyo8cnIdnW8/0JAVvHEW1vN9VFD8nHq8MIOnVOSVBTnp8HawRGqerqwEosrr7wSAHDo0CEcOnQIRx99NHJycsz9Pp8Pf/7znzF//vzOiZKIiIiIEo5hGCit8OJIdQCZaY6oNDN6deV2HKryAwCcdguuPW94h84bkFU4bBYOMRsFYSUWzz//fKv7HQ4H7rjjDlxxxRVRCYqIiIiIEl95tR+HKnxIT7F3eL4KANh1oArvrt1lrs88awjyMpM7dE6vX0F+VjIcdk6I11FRGaTXYrEwqSAiom5PsFhRdOGl5jL1bFZRxIwhJ5vLFKraI+FAuRdOpw12W8cf2jVNx5I3t5gzbA/onYFpp/bv0DkVVYdFFJCZyiFmo0EwGg/5RHC73XC5XKiurkZ6enqswyEiIiJKKD5Jxc8Hq6HpOtKj1MTonc934bn3twEARFHAwzecgf69XB06Z1VNAK5UB/oVpHM0qChgek1EREREUSMrGg4croGkaFFLKsoqfHjlP/8z188b07/DSYWmG9B1A1lpHGI2WliPS0REFCbDMKBUVQIAbBmZfBjp4QzDQKXkAwBkOpJ5PwDQdB0Hy71we+WozWBtGAaeeHsrJEUDAORnJePSSYM7fF5fQEFKkh2pyZwQL1pYY0FERBQmPeDH+mlnYP20M6AH/LEOh2LMryoY/+p9GP/qffCrSqzDiTnDMHCowo/yaj9cqQ6IHZxZu87nWw/i6x2HzPXrzj+uwxPsGYYBSdaQ43LCwv4xUcNPkoiIiIg6rMIdQEmFF2kp9qjNB+HxyXjm39+a62OP74UTBuV1+Lx+WYPTbuWEeFHGxIKIiIiIOsTtlXGg3AOH3QJHFEaAqvPCB9+j2iMDANKSbbj6nGFROa/PryA73RmV0aqoHhMLIiIiImq3Gp+MfYdqYBhAijN6/RW++6kcKzftNddnTz0WGakd7wwuKRpsVhGuVNZWRBsTCyIiIiJql2qPhD2lbiiaDlcUHvrryIqGx97aaq4P65+NiScWR+XcHp+MbJcTyVFMgiiIo0IRERERUcQq3AHsP1wDQIhKTUJDz6/YhgOHPQAAm1XEvAtGRGXULV9AgcNmRY4rqcPnoqZiWmOxcuVKjBs3DmlpaTjmmGPwyiuvmPsEQWjy2r17t7l/3bp1GD16NLKzszFr1ix4vd6Qcz/11FMYOHAgiouLce+994LzABIRERFFx5FqP/aWuSEKAtJTotuk6PMtB7Bi/W5zfcbEQeiVm9rh8+q6AV9ARV5mUodHlaLmxSyxqKysxOzZs3HJJZfgv//9L66//npcccUV2LBhg1nmzTffRElJifkqLg5WgZWWlmLKlCmYMmUKVq1ahR07dmDOnDnmcStWrMCNN96IBx54AEuXLsXDDz+Mp556qsvfIxERdS+CxYr8qechf+p5ECx8MOnprKKI6QNGYvqAkbD2kCFLDcPAoUof9pa5YbdZkBrlUZX2H/Zg8fLN5vqIATm4cOzAqJzb45eRlmyP2vwa1JRgxPCrfL/fj6Sk+qqo4cOHY8aMGbj77rshCAK+++47HHvssU2Oe/jhh/H000/jhx9+gCAIWLduHcaOHYsDBw4gLy8P5557LoqKivDkk08CAO677z68/vrr2Lx5c1hxud1uuFwuVFdXIz09PSrvlYiIiCiR6XowqTh4xIskhxVJjugm15Ks4jdLPseeshoAQGaaA4tuHheVZlaqpsPtlXFUYToTi04U0/S6YVKh6zo8Hg9SU+urunJycpo97pNPPsHEiRPNtnajR4+G3W7HF198Ye6fNGmSWX7ChAnYsmULKisrO+NtEBEREXVrmq6j5IgXB8o9SHFGP6kAgCff+dZMKkRRwG8uHxW1vhvBmcAdcKVEty8IhYp5vZ1hGCgpKcGvf/1r+P1+XH755ea+m266Cb1798Ypp5yC//znP+b2srIyFBQUmOtWqxX5+fkoKyuD1+uFx+MJ2V9UVGQeR0RE1F6GYUDz+6D5fey7RzAMAz5Fhk+Ru/X9oGo6DpZ7UXLEi7RkOxyd0D9h1X/34uOv9pnrV0wegmOPyo7KuSVFgygKyM1Iitps4NS8mCcWt912G4qKivDss8/iX//6F/LygrMpzp8/H7/61a/w9ttvY+jQoTj33HOxfft2AMH+GWlpaSHnSUtLQ0VFBaqqqsz1hvsAoKKiotkYJEmC2+0OeRERETWmB/xYO3E01k4cDT3gj3U4FGN+VcEpLy/EKS8vhF9VYh1Op1BUHfsPeVBa4YMr1dEpE8rtLnXjyXfqZ9c+aUg+zj99QNTOX+OVkZ3uRGoS563obDFPLH7zm9/gk08+wY033oipU6fi448/BgD84x//wLRp0zBq1Cg89dRT6NWrF5YvXw4AyMrKQk1NTch53G43srOzkZWVBQAh++sShezs5jPf+++/Hy6Xy3zVdRInIiIi6qlkRcP+wzU4Uu1HZpoDNmv0Hxt9koq/vrwJsqIBAPIyknDzJSOjVrPgCyhw2i3IzeDwsl0h5kNaFBYWorCwEGPHjkVNTQ3uueceTJw4MaSMxWLB4MGDceDAAQBAQUEBSkpKzP2qquLQoUMoKChAUlIS0tPTQ/YfPHgQAJCfn99sDHfeeSd+/etfm+tut5vJBREREfVYHr+MkiNeuL0yMtKdsHRCEyLDMLBk+WYcLA9OGWC1CPjNzFFIi9JIU3XDy/bJT+Pwsl0kZjUWiqLA5/OFbMvIyIDP50N1dXWTstu2bcOQIUMAAOPHj8eqVavM9owbNmyAoigYM2ZMyP46q1evxgknnICMjIxmY3E4HEhPTw95EREREfU0dSM//XSwGh6/gsy0zkkqAOCDL3dj7daD5vrV04ZhUHFm1M7v8SscXraLxSyxePnll3HyySfj9ddfx86dO7F8+XIsXrwYF198MS644ALMmTMHn3zyCb7//nvMmTMHiqJg5syZAIDLL78cZWVlWLBgATZv3oxbb70VM2bMMJs6XX/99Vi6dCnefPNNrF69Gg899BDmzZsXq7dKREREFPcCsoo9ZTXYd6gGVqsFmWnOTuvsvHN/FZ59b5u5ftrwIkw9pV/Uzq9pOlRVQ15mUqc04aLmxaxeaPbs2fB4PFi8eDG++eYb5OXl4be//S1uv/12XHXVVfjjH/+IG264Afv27cOpp56KNWvWmP0n8vLy8OGHH+Kmm27C4sWLMXXqVHPOCgCYPHkyFi9ejDvuuAOSJOH222/H1VdfHau3SkRERBS3DMNAlUdCyREv/JIGV6oDVkvnPYx7fDL+9sp/oWo6AKAoJwXzLxphTiMQDW6fjIxUDi/b1WI6QV684gR5RETUHM3vw9qJowEAYz7eCEtScowjoljyKTJOeXkhAGD9rAVItiXeqEOKqqOs0ovDlT5YrZao9W9oiWEYuO/FTdj4QykAwG4V8eANp6NfoStq15AVDb6AgqN7ZXT6+6FQ7MlCREQUJkG0IGf8WeYy9WwWQcCZ/YaZy4nG45dxsNwLt1dCekrnDCXb2Nuf7zKTCgC49rzjoppUAMHJ8PKzkplUxABrLJrBGgsiIiLqrjRdx5HqAEorvNB1A+kpji6ZOO6//yvDX17cCF0PPnpOOKEYN118fFSbQPkkFbqm4+heGZ0yOzi1jp84ERERUQ/hl1SUVnhR4Q4gyWlDchc9fG/76Qj++vImM6nom5+G684fHtWkwjAMeP0K+uSlMqmIEX7qRERERN2cqumocAdwqNIHSdGQkeqApRM7aDf04/4q/HnpBshqsLN2RqoDd15xEhxRnluixqcgPcmGrHROhhcrHH+LiIgoTJrfh09PHYZPTx0Gze9r+wDq1nyKjBHP34URz98FnyLHOpxmGYaBao+EXQeqsbesBqIoINuV1GVJxd6yGvzpuS/hl1QAQIrThoX/9wsU5qRG9Tpq7fCyuZnJHF42hlhjQURERNQN+QIKDlX6UVETgNUiICu98+alaE5ZhRcLnl2PGl8w6XLaLVhw9clR76wNANUeGdnpSchI5fCyscTEgoiIiKgbUVQN5VUBHK72QVV1pKU4uvxb/Ap3AH98dj0q3AEAgNUi4s4rRmNwn6yoX6vGJyPJYUFBdnKXJk7UFBMLIiIiom5A14MT3ZVV+OANyEhNtiM9BhPE1fhk/OnZ9Sg9EmwuKIoCbr/sRBw/MDfq15IVDaqmo3duOpxR7rNBkeNvgIiIiCjB1fhkHK70odIjwW6zINuVFNURl8Llk1QsfP5L7CmrMbfdeNHxOGVYYdSvpesG3F4JBdkpbAIVJ5hYEBERESUgwzDgC6ioqAngiDsAwzC6dLSnxmRFw31LN2Lnvipz29xzh2HCicWdcj23V0JasgP5mckxSaKoKSYWRERERAnEMAx4/AqOVAdQ5ZWgazpSk+1dMnN2S1RNx4PLvsK3P5Wb22aeOQTnnNa/U67nl1QIgoCinBTYrLF73xSKiQUREVGYBNGCrFNON5epZ7MIAk7vPchc7my6bqDGJ+OIO4BqjwQDQFqyLeYP1rpu4NF/fYONP5Sa284//WhcPGFgp1xP03R4/QqK81KRlmzvlGtQ+wiGYRixDiLeuN1uuFwuVFdXIz09PdbhEBERUQ+m6TrcXhnl1X7U+BSIApCSZI+L+Ro03cBT72zFhxv2mNsmjeqD+ReN6LTmSUeq/chKd6JPfhosYuw/A6rHGgsiIiKiOKSoOtw+GeVVfnj8MqwWEa4Ue8z6UDTm8St45J9f4avth8xtpw0vwrwLOy+p8PhkOGxWFGSlMKmIQ0wsiIiIiOKEpuvwSyq8fgUVbgnegAKH3YKMNCcscTRHw94yN+57cRNKjnjNbScMysOtM07otDgVVYOs6uhXkI4kBx9h4xF/K0RERGHS/D6smzYWAHDq+5/CkpQc44golnyKjPH/vA8AsObS3yPZ1r72/oqqwy8p8PgVVHtkBGQFmg44HdYuny07HOu/O4hFr3+DgKyZ2848qQ+uPW94pzXPMgwDbq+MvMxkZKZxaNl4xcSCiIgoAnrAH+sQKI4EVKVdx8mKBp+kosYrw+2TISkaYBhwOKxIT4ndkLGt0XQDr678H/61Zqe5zWoRMHf6cEw5uV+nXtvtlZGaZOfQsnGOiQURERFRJzMMAwE5mEy4vRK8PgWSqkEUBTjsVmSkOuKuZqKh5vpTZKY58NtZJ+GYvlmdem1JVmEAKMxOjumQutQ2JhZEREREncBMJgIKqj0SPAEFsqLDahWRZLcgJdmWEN++N9efYnCfTPx21knITnd26rU13UCNT0Hv3FSkp7AJVLxjYkFEREQUJQ2TiaoaCV5JgazqsFlEJDmsSE9JrG/cm+tPcdbovrhm+rAumT+j2iMhK82BnIykTr8WdRwTCyIiIqIOCsgq/D4NVTXBmglF02G3inDaEy+ZAFruT3HN9OGY3Mn9KerU+GTYrRYUZKfAGod9TqgpJhZEREREEZIVDTU+2Vz/cX8VRFhgt4pIdlpjPht2R5SUe/DEO99i887D5rau6k9Rxyep0HQD/QrSkOy0dck1qeOYWBAREYVLFOEaOcpcpp5B1w1IigZJ0RCQVNT4ZUiSBo8sY3B6LwgCkOy0ItXRuf0NOltAVvHGmp1467NdUDXd3N5V/SnqyIqGQEBB77w0ZKSyX0UiEQzDMGIdRLxxu91wuVyorq5Genp6rMMhIiKiLqTpOgJSMJHwSQo8PgWSokHVdAgAbDYL7LZg7UQidL5ui2EYWPddCZ57bxvKq0OHU548ui/mdlF/CgDQNB2VNRIKs1NQlJPSLT7fnoQ1FkRERNTjKaoGX0CFN1A3SZ0K3TAgigLsNguSnbZOm/wtlvYdqsHT736LLT+Wh2wvzkvDNdOH4bgBuV0Wi64bqPJIyHYloSCb81UkIiYWRERE1OM0nFeixivB41cgKxogCHDYLUhPscflJHXR4pNUvPbxdvx77U/Q9PrGK0kOKy6bNBjTTj2qyztMV3kkpKfY0SsnBRY2NUxITCyIiIjCpPl92HDRZADAycs/giUpOcYRUSQ0XYdfUuH1K6j2yvBLKhQ1OK+E025BSlJk80oEVBlzP3kCAPD0uOvgtNo7K/SoMQwDn24+gBdWbENljRSyb9zI3rjy7KHI6qK+FA1VeyQ47Rb0yk3jJHgJjIkFERFRBJSqyliHQBFQNR2+gAKPv66JkwJNBxx2S1RGb3Ir/rYLxYmfDlTj6X9/i+93V4RsP6owHdecNxxD+2XHJC5vQIEgAL1zU5Hs4KNpIuNvj4iIiLoVRQ0mEzV+GdUeGZKiAYYBp8OK9FQnLGLParu/c38VXv94Bzb+UBqyPcVpw6zJQzD55H4x+0wkWYUka+ibn8aZtbsBJhZERESU8Oo6X7t9MtxeGZKswhAEJDmsyEh1QOxhyQQA/LCnAq9/vANf7zgUsl0QgEmj+uCKycfAFcPhXBVVh8evoCg7NSbNryj6mFgQERFRwjGM4NwSAVmD2yvB7VUgKSoEQYDTYUVGmrNHJhMA8N1P5Xht9Q5sbTTSEwCMGJCDWZOPwaDizBhEVk/TDbg9EnIzk5CfxRGgugsmFkRERJQQJFmDpKjwSWptrYQGWdUgigKcdiuykpw99gHVMAxs+bEcr328vUkfCgA4cXAeLpkwCEO6aObs1hiGgaqaADLTHCjMTu2xCWB3xMSCiIiI4pJcWyPhlxS4fcHZrmVVgwHAbrPAYbcgNTmykZy6G8Mw8NX2Q3h99Q5s39t0YIHRxxTgkomDMLB3RtcH14Jqj4RUpw1Fuandcm6QnoyJBRERUbhEEWlDjjWXKXp03YCsapCV4IzXbo8Mv6xCVnUYBmCzinDYLUiJo0RCEAQMcBWYy13JG1DwyTf78dGXu7GnrKZRXMApwwpxyfhBOKrI1aVxtcYwghPg2a0W9MpLhdPOx9DuRjAMw2i7WM/idrvhcrlQXV2N9PT0WIdDRETUrRiGAVnRISnBRMIvBWe8llUNqqrDgACbVYDDZoHdZombRCIe7NxfhQ+/3I3PtxwIjnbVgCAApx/XCxdPGIg++fH1/GIYBiprJCQ7rOidl4rUpPif84Mix1SRiIiIOk1dEiGrGmRVh19S4PWrkBUNiqbDMAxYRAE2mwVJDiusySITiUb8korPtxzAhxt2Y9eB6ib7LaKAM47vhV+OH4TeuakxiLB1uh5MKlKTbCjOT+NcFd0Yf7NEREQUFYqqQVF1yKpeWxOhwC8FtymqBsMARIsAm7W2f4Q1fpo1xaPdJdX4cMMefPLNfvgltcn+vIwkTD65HyaOKkZmWnwO16rpwY7arhQHerP5U7fH3y4REVGYtIAfmy4/DwBw0rJ3YHEmxTiirqfrBlRNN1+yosMvq/AFVDOx0GtbWVssYn3fiCRbtxv9R9IUzP/8GQDA4tPnwGGxdeh8um5gT6kbW3eVY913B/G/PU07Y4sCMGpIAab8oi+OH5gX15P9qZqO6hoJWS4neuWkwm7r2CznFP+YWBAREYXLMCCVHjSXuyPDCCYOimZAVesTiLqhXmVVh64ZUHUdum7AACCKAmy1SUSS0xbXD7vRZBgGDvnd5nJ7jj9Q7sW3uw5j665yfLvrCGp8crNls9KdOOukPph0Ul/kZsR/QquoOqo9EnJcSejF0Z96DCYWREREPYBWmwiomtFkWVVrR2RSNaiqAU3Tg4mDUf/AbBEFWCwiLBYRdruIJEvPSSCi6VClrzaJKMfWXeWocAdaLT9yUC6mnNwPJw3Jh8WSGA/nsqKhxicjPysZhdkpsCZI3NRxTCyIiIgSjK4b0A0Dum5A0xv8NOrWdWiaAVnVoao6FE0PJhOaAdUwYNQmDUECBCGYOIiiEOxIbbcgSbQmzINsvNI0HbtL3di+txLb91bif3sqUFrha/UYp92Cof2yMfzoHJw6rBAF2SldFG10BGQVPr+CwuwUFGSldLvmb9Q6JhZERESdzDDqEoHgsmEAumE02a7X7WuQOKi1SYKmB2sXNN2AodcerxvQassZtdcRABgIzqsgigLEup+iAJtdhLPBNoquypoA/renEjv2BROJH/dXNRkStjGrRcSQvpk47ugcHHd0Dgb0zkzYZkM+SUVAUlGUm4r8zGR2zO+BmFgQERE1UPfgb6D2Z926AShS/UOix69A0GUzATCM+toDRdOh1zYxUvW6B/9gAgHDgA4j2MxINxC8kgAYweSgIUEQIArBn+ayGFy2iAJEqxiSPFDX8EsqDlX6sP9I/dCv8x9ZjcMVzfePaEgUBQzsnYHhtYnEkL5ZcHSDTs0evwJV1VCcl4ocVxKTih6KiUWc0nQdkqLHOoyIJNqfkHj8m9eZfUGbe79Cg99a4/1Nywut7m/r/M0fU7+hq+fqbO1yTR/vmh5Xf7zR5HxmmboH0wYbQx9YQ483zOONRucJPXHD8zcuZ9SeqO46oiAAdQ+mqP8dCLXNX4Ir9b+phr+jut9Pw19bR//dtPVrbvwZNHdMez4PvUFtQPCl19YaBB/ujboH/QaJRF15oD7R0AN+M44f91dCcASCH0qDpKBhMiCKQsi6zQoIggihcbIQj3+QejBZ0XCo0odDlX6UVXqDPyt8OFTpQ1mlD25vbQIh6sDpwcXDVQEATWsaUpw2DOqTgSF9sjCoOBND+mYi2dmx0aPiiaYFO2nbrRb0yU9HVnp8DntLXYOJRZyqdEvYX+6J/agjcfCfXewjiB+R3g0tfXZtJhltnqjlhKS5bY0TjJaOa6grb/1wEonmtxnN/Wj2ARdNHlJrHyab+Za6TsMmLeZDdO26YdTtr2/6gmYSgYbXb3jm4CkNs6zR4Hotabg/3H+XzZ2vreu0dL2GD+4NP4+6EnWfR+hJGidUjbcFPwszsRIFs4xY+9APQTTLG4Id3t79AAAZ6Uk9crjZ7kTVdBws92BPaQ32ltVgT6kbe8tqUFrhDf9vkLd+BmlRAPrkp2Nwn0zzVZST2m1rk3wBBX5JRVaaA/lZKd0qYaL2EYyu/powAbjdbrhcLlRXVyM9PT0mMRyu8mFPaQ0yw8n84/hXGK+RxeNHFo0crqUHtpbfb+iOFr8ZbuEkjbeEfGvf7OUaXQ9dnDhG8CG3lZQJjTY0/61+g4fWBuXqvq0moq5hGAbKKnzYU+rGnrJgErG31I0D5R6oWvv+Q3Cl2pGXmYy8zGQcVZiOwX2yMKB3Ro+YVVrTdFR7ZdgtIvKykpHtcsIiJma/EIqu7n/3J7C6UTrCKNnpsRARESUKX0DBzv1V2L63Ejv2VmL7vsr65kthSku2mYlDfmYy8rJqf2YmIy8zqcfOIO2TgqM+ZaU5UJDNWgoK1TP/VRAREVG3oOsG9h/2mAnE9j0V2HuoJuya6RSnDX0L0tAnPw19CtLRNz8NffLTkZ5ib/vgHkTTjWBfCouIPvlprKWgZjGxICIiCpMuBVB6x/8BAAr+9ixEBzuqdiVdN1Ba4cWuA9X46WA1dh2ows59VfBJapvHWi0i+hakoW9d8lD7Myvd2e6miZKm4LZ1SwEAD596JRyW7vntPWspKFxMLIiIiMJlGFD2/WwuU+fRNB37Dnvw04Eq/HTQjV0HqvBziRv+MJIIAMjLTA7pRH1UYTps1ugO62oYBvZ5jpjL3U1dLYWNtRQUJiYWREREFDOKqqOswosD5V4cLPfgYLkXP5dUY0+JG7Ia3rDrDpsFA4szgklEcSYG9clEZhprk9pL0w14/TIUVUdmanDEp5Qk1lJQ25hYEBERUafSdAPlVX4zcThQ7kFJbSJxqNIHPYIv++02C44qTEf/Ihf6F7kwoHcG+uanwWLhN+kdpWk6avwKdE1HarIdvXOT4Eq1s5aCwsbEgoiIiDrEL6k4XOVHeZUfh6t8OFzlN9cPVflxpNoPLZLsoVayw4r+vYIJxNG9XOhflIFeOSlMIqJMUXV4/TJ0A3Al25GdkYS0ZBsTCooYEwsiIiIKYRgGvAEVNV4J1V4Z1V4ZNV4Z1V4Jbq8Md+1yhTuAw1V+ePxKh66X4rShKDcFRdkpKMpJRXFeGvr3ciE/M7nbTi4XDxRVQ41PgQAgI82B7HQnUpPs/Myp3ZhYxKEPvvwZbq+M8mo/0lIcAJqffCtkNuNGk3aFDnAhNDoutFBzxzQeISM4yVfoCZoeJzQo2/o1BNQXaql8s5OM1ZYRWjpX3fYm52k+tpZm5EWD4wSh6Xpz52huErRmy7c0YVqjczYbQ6PjzPfEydYSmmEY0HUDeu1PzWiwrcH24M/afYYB3QiOklNX1jAAzahfFwRAFEVYRAGiKMBS+xIFARaLENxXW8ZqEWCxiLBaxDDnz6F4pekGJFmFX9bgl1QEJBV+SYUvoMAbCP70BVT4pOBPbyD0p8cfTBzaU8PQGrvNgl45KSjMCSYPRdkpKMoN/kxPsfPvWBeSFA1enwxRFJCV5kS2y4nUJBt/B9RhTCzi0J1PfsHBRqjdxNpMRaxNOIKrgpmAiLXJiijWbxcFocly8DzN7GtwvrpvtRqWqStXt73+HA3iQIP1usAbJIqN/29rnESaia6A+nhqz1G33vDYlpPiyP4T1Y3mHvSDD/uNt2m6AVXTgy9Vh6LpULX6bZqmQ6ld16P8ANdRggAzwbBZRVhEERaLAJtFDCYftYmK1SI2SFiCZcxlUYBYu24Va8s13l97bN15mkt+LKIIURDM40WhvozF0mBfg/MHE6b664u193PdNcx7vG6fWL+/4RcMIfdo7U8DgCW3AACg6gZ0WW3x96qZv38Dmq4Hy9feF5pu1O6v3abXb1PU4HEt/qw9p6zWJg6yioCsBRMIWYOsaDG5b1ypduRmJCPXlYScjCTkNnq5Uh3d7sFVEATkJaWby/HMMAz4JRV+SYPVIiAnIwlZ6U6kOJlQUPQIRnccH62D3G43XC4XqqurkZ6e3uXXP/6ql5lYEBFRzKUl25CWbIcrxYH0FDtcqQ6kJ9trl+3ISHUgNyMZORlJcNiiO5QrRYeiavAGVGiaDqfdiqw0J1ypds5FQZ2CNRZxaMzwIkhK8JuohmNuG6jPNppLPOpyxJBdRmh58xyhP5odf7vhMY13t3a+xucyyxpN4zdgNBNL6Hkbn7O5/eY5DaPpeVqIrfnrmHuD+xuvN3uOptdtWB4Nfi9MGCkSdbVOzX2z3vBbd0EALIIAoUE5ofbrdd0war8JN2qXdbOJldbgFW+1JtRxDpsFTocFSQ4rkuxWJDttSHZakewILqfUrTtD11OcNrhS7EhLtrOTdILSdQN+OdgMzmoRkZ5sR2aaA6lJdtis/J1S52GNRTNiXWMBAIerfNhbVoNsV1JMrk+dy0wCW00+GiQntWVCk5cWjq1tew8EfxpGXZLUYHttO/26RKm+XO1ybXt9vcG2kPPVNv2pOz70HA2u1ehY1CZzofvMd9IkmWv6XkMT3fr30OjzarQfDbc1Om8k6pp5NWxSE/JTFIJNcMRgvwWbNdhsyGoN9l2oe9ksodssjc5X1xStK5snGIYBVattsqMGm+00bNpjNusxm/HUJySaXt+kR9Pr96u1SUzDcg2PDV2vTXiM4JCXmm6YSZGu1S/XHdMkOdL0JslS/Tlrm6vV9Ucxm63VN2HrqODvsr7pmNUiwmoNNgOzWITa37NoNtmq+7033FbXvMtWe2+YPy0irNZGPy0i7DYRTnswaUhyWOF0WOC0W+F0WOGwWdhXpgeSFQ2+gAJdN5DksCEzPVjDlOSwsrkTdQnWWBDFQN0f+MYd34liRRAE2KwCbBABe6yj6XpmB3g0TVTNhBmAIQVQdc+NAIDsPy2GLSnJTAap55E0Bb/fsAwAcN/Jl8Nh6frmRZqmwy+pkBQNNqsIV6oDmWnBzthW1jhRF2NiQUREPZ5Q21m8LbphQflP2wEAdqsIkQ9uPZphGPixutRc7iqapsMva5BkDaIAJDttyM1IQlqKA8kOPtpR7PDuIyIiIopzmm4ERwCT1GAy4bAhJzcFqUk2JDtsnHuC4gITCyIiIqI41DCZEAAkOWwoyk5FanKwoz1nxqZ4w8SCiIiIKA6omg5Z1aEoGlQtOMllkt3KZIISBhMLIiIioi6m1SURqgZF1QEAFosIu1VEeoodKU4bnPbgcMDshE2JgokFERERUSeoGzq5fr4YvT6JEAXYrBakOm1ITgomEXabBQ6byFoJSlhMLIiIiCIgpmfEOgTqJHVznTQcZhgInQi14fxCAVVFmi0435TbK8Mn6CGjQ9XNVSKKAmwWEQ6nFU67FQ67BQ6bBXabhbUR1K3E9G5euXIlxo0bh7S0NBxzzDF45ZVXzH1lZWWYNm0aMjIyMHbsWOzcuTPk2HXr1mH06NHIzs7GrFmz4PV6Q/Y/9dRTGDhwIIqLi3Hvvfd26TBwRETUPYnOJBS/sALFL6yA6OQEpvEqOOGjDklW4QsoqPHJqKoJ4Ig7gCPVfhyp9qOi4XLtz2pPADU+GV6/EpwbQtYgyxoUJdhcSVVrJ1Q0DAgGkGSx45nT5+G5sTcg35WCouwU9M1PR/8iFwYVZ2JQnywM7pOJIX0zMbhPJvoVulCQnYLMNCeSnZxngrqfmNVYVFZWYvbs2bjrrrvw5JNP4qOPPsIVV1yBAQMGYPTo0Zg+fTry8/Px2Wef4dFHH8WkSZOwc+dO2O12lJaWYsqUKbjllltwwQUX4Nprr8WcOXPw6quvAgBWrFiBG2+8EcuWLUNmZiYuuugi5Obm4tprr43V220XVTNQUe0H0GD25ZaEOTlTOKXaOlWb52jhBK0d1/I1m+5oqWyzm5sp3HhT2Md18DxtHd+4RJvnb1RAaHkXJ+/qYRp/kcLfP3U3dbOtq7U/65oaCbW1CgKC/RXqagyS7cHaAZstuE2AAEEMznAvCgKE2pnuRSG4XUDD7XVXrV8XapcB/vsiakgwYvhVvt/vR1JS/Tc+w4cPx4wZM3D22Wdj1KhROHDgAIqKiiBJEnJycvDSSy/h/PPPx8MPP4ynn34aP/zwAwRBwLp16zB27FgcOHAAeXl5OPfcc1FUVIQnn3wSAHDffffh9ddfx+bNm8OKy+12w+Vyobq6Gunp6Z3x1tvkk1R4/TLC+e20VKTJr7aZgs2d36gtaDRzQJNTNlxv5XJGKwUb7gqpdm7hZA3PVR9rM+do4YMx31dr76Vx2bbKhWwL43Nv5RrNx9FygabljWb3NSwmCELIzroloeFy7X+WdZ+30KgcGpdt5nwNr9cwluC5jJD1Jse1kjg13i20tKON41ou1foxdTMzh6432GLU35dmswkj9FMW6k5sNL3Lgp9Xy597w8Aa/nto7V209rtq+XcrQIABQwg+aNU9fDVeRt0DWO35Gy/XP5CFHkvUkmCNgwFN14M/a5OIusRBFARYLSIsFgE2qwiHzQq7TYTNIprbLaIIqyVYjvcbUdeIaR+LhkmFruvweDxITU3FJ598gqFDh6KoqAgA4HA4cNppp2HNmjU4//zz8cknn2DixInmH4rRo0fDbrfjiy++wAUXXIBPPvkEzz33nHnuCRMm4K677kJlZSUyMzO79k22U7LDytkzu1Bz+XXTvCzCRKv2qEjKt5VkND1980lE43O1fN3wr2e0eq2WT9LehM0wt4c+tdevGvWJpdHgeKOluI3Q48NIYpueI0iofXKuf0gGgg/PdQ/a9dtFiBDE+m8/a0sGlxs8aJvnrbtGyPVCrt4oFrS63vC9hi43nxjpulHfntwAdMOAbhgwdEAzdBg6oBs6dD1YVocBXa9vj24YBjSt9mwGoMMwkytDNwAYLX729SmXYX42Ysjn1CBBaZCoiI231W3vhAnDdEnCoXt/DQDIu/sRiA5H1K/RXel68F7S6zoyN1zW6+6L+oQ6WOMgwmYVkVrbN8FmDSYOVktwe10CESsBVcENK5cCAJaceSWcVlvMYiGKBzF/cjUMA6WlpfjrX/8Kv9+Pyy+/HA899BAKCgpCyhUVFaGsrAxAsP/F6NGjzX1WqxX5+fkoKyuD1+uFx+MJOb4uQSkrK2s2sZAkCZIkmetutzuq75HiX3PfZrXVVImIQhl1SYgBM8kIJhVGk3VdB+qSDN1oZr8B6JoBrTaJMQwdmh78EkprkMjohgHNqE9i9NpqomAsobUxjQWbvjRNVARRaDFpMVQV0rZvat+w3gWfater/z0AqP0c0fB3iPqaOMMwYOi1v68GnzsMo8lnLwqAIIqw1jY3sogCnHYLbDYL7A2SBIsomMt1iUS80g0D/y392Vwm6ulinljcdttt+H//7/8hNTUVK1asQF5eHiorK5GWlhZSLi0tDfv37weAFvdXVFSgqqrKXG+4DwAqKiqajeH+++/HwoULo/WWiIh6JEEQYOnCJifB2pXQGpO6h9vmluseeOuWdc2AquvBb9L1YLOb1pIWwwD0gGxev7ImAKH2O6mGTc2MRg/VDZufNWy41rhJYG3h0NUwP4u6JKDuusFGbPVXrGuyFtJ0rlGTOzSI3Wyu1qBWTayrpoMAUQxeQxQEiLba5keiAKu1PjkQBQFi7U9BCCYSYm1CEeuaBiLqHDFPLH7zm9/gvPPOw0cffYSpU6fi7bffRlZWFn766aeQcm63G9nZ2QCArKws1NTUNLs/KysLAEL219VA1B3f2J133olf//rXIeWLi4s7/uaIiKjTBJs6CeiML7RbSlpUvxNf15bpX5gBS1ISGjaza9yEr+E2NNgG1CcVDZuGhTS7a7ZZXsPdhtmsrq7DMdCgaV3tFqHBjsZN7xquN9c5ub7PTONmaDATBiKiOjFPLAoLC1FYWIixY8eipqYG99xzD84//3yUlJSElDt48CCGDh0KACgoKAjZr6oqDh06hIKCAiQlJSE9PT1k/8GDBwEA+fn5zcbgcDjgYDtZIiKq1VLSoukWczk9xQZLkr1rAyMiimMxq4dUFAU+ny9kW0ZGBnw+H8aPH48ffvgBBw4cAAAEAgF88cUXmDBhAgBg/PjxWLVqlfnNzoYNG6AoCsaMGROyv87q1atxwgknICMjowveGRERERFRzxOzxOLll1/GySefjNdffx07d+7E8uXLsXjxYlx88cU4/vjjccopp+C6667D1q1bMX/+fOTm5mLKlCkAgMsvvxxlZWVYsGABNm/ejFtvvRUzZswwmzpdf/31WLp0Kd58802sXr0aDz30EObNmxert0pERERE1O3FrCnU7Nmz4fF4sHjxYnzzzTfIy8vDb3/7W9x+++0AgLfffhuzZ8/GGWecgREjRmDlypWw2YLDuOXl5eHDDz/ETTfdhMWLF2Pq1KnmnBUAMHnyZCxevBh33HEHJEnC7bffjquvvjom75OIiLoXzrhNDXGIWaJ6MZ0gL17FwwR5RERERESJhGO9ERERERFRhzGxICIiIiKiDmNiQUREFCZdkvDtbdfj29uuhy5JsQ6HYkxSFcxfuRTzVy6FpCqxDoco5mI+jwUREVGiMHQNFes/N5epZ9MMA5/v32EuE/V0rLEgIiIiIqIOY2JBREREREQdxsSCiIiIiIg6jIkFERERERF1GBMLIiIiIiLqMI4K1Yy6ycjdbneMIyEionii+X3wqsHRoNxuNyyKGuOIKJZ8igzNHxx22O12Q7XZYxwRUedJS0uDIAitlhEMg+OjNbZ//34UFxfHOgwiIiIiorhQXV2N9PT0VsswsWiGrus4ePBgSGZ20kknYdOmTWEdH07Ztsq43W4UFxdj3759bf4SE1Ekn2ciXj8a5+/IOSI9lvd3dMX6/u7sGKJ17vaepz3HhXtMNMp19/sbiP093p3v7/Ycy7/h0RXr+7uzY2jvucOpsWBTqGaIoojevXuHbLNYLGH/4wmnbLjnS09P75b/aCP5PBPx+tE4f0fOEemxvL+jK9b3d2fHEK1zt/c87Tku3GOiWa673t9A7O/x7nx/t+dY/g2Prljf350dQ2eem523w3TDDTdEtWwk5+uOYv3+O/v60Th/R84R6bG8v6MrHt5/Z8YQrXO39zztOS7cY6JdrruK9fvvzvd3e47l3/Doiof3nwj3eHPYFCpOud1uuFyusNqzESUa3t/UnfH+pu6O9zi1hDUWccrhcGDBggVwOByxDoUo6nh/U3fG+5u6O97j1BLWWBARERERUYexxoKIiIiIiDqMiQUREREREXUYEwsiIiIiIuowJhZERERERNRhTCwS1IEDB3D22Wdj+PDhuPjiiyFJUqxDIoqqhx9+GAUFBXjiiSdiHQpR1Dz22GM49thjMXbsWJSUlMQ6HKKo4t9tYmKRoP773//ib3/7G7Zu3QpRFPHqq6/GOiSiqJo2bRqmT58e6zCIoqakpAR///vf8dVXX2Hu3LlYsGBBrEMiiir+3SYmFl3o8OHDuPvuu9GnTx+MGjUqZJ9hGLjnnntQXFyMQYMG4Zlnnmn1XOeddx6GDx8OQRBw6qmnYv/+/Z0ZOlGbonl/A8CQIUNQVFTUWeEStVt77/VVq1Zh9OjRcDqdGDduHD744IOuDp2oTR35W86/22SNdQA9yb59+/Djjz82O0vlE088gUWLFmH58uU4cuQIZs6cid69e2PKlCltnnfjxo24/PLLOyNkorB11v1NFG/ae6+XlJRg8ODBAIBevXrB6/VC13WIIr/jo/jBv+XUEfxr1oVOOOEE/POf/8Qvf/nLkO2GYeCxxx7Db37zG4wfPx6//OUvceWVV5ptFB944AGMGzcu5CXLMgBg27Zt+Pbbb/mPmmKuM+5vonjU3ntdEIRYhEsUkfbe30QAayziQkVFBb777jtMmjTJ3DZhwgRce+21AIDf/e53+N3vftfkuEOHDuGyyy7DK6+8AovF0mXxEkWivfc3UaJp614vLCzERx99BCA4AEdqaiprKyhhtHV/EwGssYgLZWVlAICCggJzW1FREdxuN/x+f7PH+P1+nHfeeViwYAGGDx/eJXEStUd77m+iRNTWvX7mmWdi06ZNCAQCWLNmDaZOnRqrUIkixr/lFA7WWMSByspKAEBaWpq5rW65srISSUlJTY754x//iG+//RZ//etf8ec//xlFRUVYsWJF1wRMFIH23N/l5eWYNGkSSktLYbVasXLlSixfvrxrAiZqp7bu9aKiItx888048cQTkZOTg9deey0mcRK1R1v3t9fr5d9tYmIRD7KysgAANTU1yMjIAAC43e6QfY09+OCDePDBB7skPqKOaM/9nZOTg82bN3dFeERRE869fv311+P666+PSXxEHdHW/e10Ovl3m9gUKh7UVSs2nCzp4MGDyMjIgNPpjFVYRFHB+5t6Ct7r1J3x/qZwMLGIA5mZmRgxYgRWrVplblu9ejUmTJgQw6iIooP3N/UUvNepO+P9TeFgU6guVFFRAVmW4fF4oCgKSktLYbFYkJubi3nz5uG3v/0tTjnlFFRUVODFF1/Ee++9F+uQicLG+5t6Ct7r1J3x/qaOYGLRhS688EJ8+umn5nphYSH69u2L3bt3Y+7cuSgrK8MVV1yBpKQkPPbYYzjzzDNjGC1RZHh/U0/Be526M97f1BGCYRhGrIMgIiIiIqLExj4WRERERETUYUwsiIiIiIiow5hYEBERERFRhzGxICIiIiKiDmNiQUREREREHcbEgoiIiIiIOoyJBRERERERdRgTCyIiIiIi6jAmFkRERERE1GFMLIiIqE27du3Ck08+Geswok4QBJSWloZdftasWbj77rsBAF6vF3/60586KTIiosTDxIKIqIdZtGgRXC4Xhg4dirVr14Z1zJIlS6Bpmrl+3333ITU1tdVXeXl5Z70FfP7553A4HO06dvbs2XjooYea3bdp0yaMHz8eGRkZ6N+/PxYsWABZlpstm5ycjLfeegvbtm1rVxxERN0NEwsioh7mwgsvxLp163DBBRfgoosuQlVVVavlPR4PXnvtNcycOdPc9vvf/x4ej6fZV2lpKbxeb5PzuFyuFpMQm82GOXPmhP0edu7cCVmWsW/fvhbL9O/fHxkZGcjIyEBqaiqOOuqoVs+5f/9+TJ48Gb/61a9w6NAhrF69GitXrsSCBQuaLS8IAq677jo8+uijYcdNRNSdMbEgIuph+vTpg2OPPRYLFy5EcnIyli5d2mr5ZcuWYerUqXC5XB26bnV1dYvJyK233gpBEMI6j2EYePPNN2G32/Hmm2+2WO6nn35CVVUVqqqq8NxzzyEvL6/V87733nsYNWoUrrrqKtjtdvTr1w8PPvggXn755RaPmTlzJt566y1UV1eHFTsRUXfGxIKIqIeyWq2YPn06nn322VbLrV69GmeccUbItr///e/Iyclp9tW3b9+IY5EkKeymTf/4xz/w3Xff4eOPP8bdd9+Nr776qkmZkpISrF27Fu+99x5efvllvPTSSzj11FNbPa8oitB1PWSbrusQxZb/q0xPT8cxxxyDDRs2hBU7EVF3xsSCiKiHkmUZb7zxBr777jts2bKlxXJff/11k2TB7/dj3LhxKC8vb/I6cuQIDMNATk5O2LFIkgS73d5qGbfbjeuvvx733Xcf3nnnHYwZMwaLFy/G+PHj8dhjj0FVVbPsunXr8Mgjj+DDDz/E9u3b8cEHH2DJkiVITU1tsQbinHPOwebNm7FkyRK43W58//33+PWvf40rr7yy1bj69euHr7/+Ouz3SkTUXTGxICLqod544w1kZ2fjwgsvxEsvvdRiuUOHDrWrFiIS+/fvR1FRUYv777//fhQUFODQoUPYtGkTRowYAQC48sor8f777+PJJ59EUVERPvzwQwDARRddhDfffBOLFy+GYRgYM2YMJEmCx+PBrFmzmr1GUVERVq9ejRUrVmDQoEG4+OKLcdFFF+EPf/iDWeZXv/oVzjnnnJDj+vXrh0OHDnX0IyAiSnjWWAdARERdzzAMLFq0CHPnzkVBQQFuuukmPPDAA7Bam/634PF4kJ+f32T7O++8g4yMjBav8dhjj+Hyyy8PK55du3Zh9uzZLe6/+OKLcdlll6Ffv35N9p1++unYvHkzNm3ahCFDhoTs+/777/Hoo49iw4YNYfXhOO644/D++++3uP+ss85qsq2goAAHDhxo89xERN0dayyIiHqgL7/8Et9++y1mzZqFadOmoaamBqtWrWq2bGpqKg4fPhyy7Xe/+x0URTE7Rw8YMABPPPGEuV5VVRV2UmEYBg4ePNhs0lBnwIABre4XBAGjR49Genq6ue2bb77BhAkTsGDBAhxzzDFhxQIAc+fObbH/iMPhMOexqHPo0KGQ6xIR9VRMLIiIeqBFixbh4osvRmZmJpKTk3Huuee22BwqNzcXe/bs6bRYBEFAVVUVTjzxxKidc82aNTj99NNx55134rbbbovo2KeffrrZviPl5eW47LLLmpTfvXt3RP1JiIi6KzaFIiLqYfbu3Yvly5djzZo15rYZM2bg8ssvh9vtbvLt+/HHH4+9e/e2+3obN27EhAkTwi6/bdu2kD4da9aswbnnnhvR8aeddhq++OILsy9GJObMmYM333wTWVlZze6fN29eyPru3btxySWXRHwdIqLuhokFEVEPs2TJEgwcOBBjxowxt02ZMgU2mw3Lly/HVVddFVJ+7Nix+Prrr82mTUcffXSzfQpmz57dpJ/E3Xffjbvvvhsej6fd8Y4fP75dx7cnqahz00034U9/+lOb5Xw+H77//nucfPLJ7b4WEVF3IRiGYcQ6CCIi6jqSJMHv97fa8bqh6upqnHHGGdi8eXPYk9jFs6VLl6KoqAhnnnkmBEFASUkJCgoKzP1z5szByy+/DKfT2ezxLpfLbBr2/PPP47PPPsPzzz/fJbETEcUzJhZERNSmG2+8EVOmTMG0adNiHUpcOfnkk/Hkk0/i+OOPj3UoREQxx87bRETUpptuugk//vhjrMOIKx6PB6eeeiqTCiKiWqyxICIiIiKiDmONBRERERERdRgTCyIiIiIi6jAmFkRERERE1GFMLIiIiIiIqMOYWBARERERUYcxsSAiIiIiog5jYkFERERERB3GxIKIiIiIiDrs/wOqqUEPvhQLwgAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 800x440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "alphas = np.logspace(-2, 1.5, 60)\n",
    "lasso_cv = LassoCV(alphas=alphas, max_iter=20000, cv=KFold(n_splits=5, shuffle=True, random_state=42))  # 섞지 않으면 random_state가 무시됨\n",
    "lasso_cv.fit(X_scaled, y_train)\n",
    "m = lasso_cv.mse_path_.mean(1); se = lasso_cv.mse_path_.std(1)/np.sqrt(5); i = m.argmin(); lam_1se = lasso_cv.alphas_[m <= m[i]+se[i]].max()\n",
    "print(f'최적 lambda(λ_min): {lasso_cv.alpha_:.2f},  1-SE 규칙(λ_1se): {lam_1se:.2f}')\n",
    "check('그림5 λ_min', 0.91, lasso_cv.alpha_, 0.005); check('그림5 λ_1se', 4.67, lam_1se, 0.005)\n",
    "fig, ax = plt.subplots(figsize=(8, 4.4)); ax.semilogx(lasso_cv.alphas_, m, color=BLUE, lw=2.2); ax.fill_between(lasso_cv.alphas_, m-se, m+se, color=BLUE, alpha=.15)\n",
    "ax.axvline(lasso_cv.alpha_, color=RED, ls='--', label=f'λ_min={lasso_cv.alpha_:.2f}'); ax.axvline(lam_1se, color=GREEN, ls='--', label=f'λ_1se={lam_1se:.2f}')\n",
    "ax.set_xlabel('λ (로그 스케일)'); ax.set_ylabel('5-fold CV 평균제곱오차'); ax.legend(frameon=False); plt.tight_layout(); plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "7671a008",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:21:44.917733Z",
     "iopub.status.busy": "2026-09-29T10:21:44.917145Z",
     "iopub.status.idle": "2026-09-29T10:21:45.008050Z",
     "shell.execute_reply": "2026-09-29T10:21:45.006889Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "최적 lambda: 0.3486\n",
      "최적 alpha(L1 비율): 0.9\n"
     ]
    }
   ],
   "source": [
    "l1_ratios = [0.1, 0.3, 0.5, 0.7, 0.9]\n",
    "en_cv = ElasticNetCV(l1_ratio=l1_ratios, alphas=alphas, cv=KFold(n_splits=5, shuffle=True, random_state=42), max_iter=20000)\n",
    "en_cv.fit(X_scaled, y_train); print('최적 lambda:', round(en_cv.alpha_, 4)); print('최적 alpha(L1 비율):', en_cv.l1_ratio_)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2666a090",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "## 8. 네 모델 최종 비교 (docx 6-4 표, 그림 6)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "9f840620",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:21:45.010263Z",
     "iopub.status.busy": "2026-09-29T10:21:45.009605Z",
     "iopub.status.idle": "2026-09-29T10:21:45.177970Z",
     "shell.execute_reply": "2026-09-29T10:21:45.176981Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "         방법  테스트 R²  0이 된 변수 수     s1    s2\n",
      "        OLS   0.428          0 -45.66 25.09\n",
      "      Ridge   0.438          0 -13.23  0.51\n",
      "      Lasso   0.470          4  -1.83 -0.00\n",
      "Elastic Net   0.442          0  -0.25 -1.92\n"
     ]
    },
    {
     "data": {
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      "text/plain": [
       "<Figure size 1200x460 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "M = {'OLS': LinearRegression(), 'Ridge': Ridge(alpha=10), 'Lasso': Lasso(alpha=3, max_iter=20000), 'Elastic Net': ElasticNet(alpha=1.5, l1_ratio=0.5, max_iter=20000)}\n",
    "coefs = {}; rows = []\n",
    "for k, mdl in M.items():\n",
    "    mdl.fit(X_scaled, y_train); coefs[k] = pd.Series(mdl.coef_, index=cols)\n",
    "    rows.append({'방법': k, '테스트 R²': round(r2_score(y_test, mdl.predict(X_test_s)), 3), '0이 된 변수 수': int((np.abs(mdl.coef_) < 1e-10).sum()),\n",
    "                 's1': round(coefs[k].s1, 2), 's2': round(coefs[k].s2, 2)})\n",
    "tab = pd.DataFrame(rows); print(tab.to_string(index=False))\n",
    "for k, r2d, zd in [('OLS', .428, 0), ('Ridge', .438, 0), ('Lasso', .470, 4), ('Elastic Net', .442, 0)]:\n",
    "    rr = tab[tab['방법']==k].iloc[0]; check(f'표 {k} R²', r2d, rr['테스트 R²']); check(f'표 {k} 0 계수 수', zd, rr['0이 된 변수 수'], 0)\n",
    "for k, a_, b_ in [('OLS', -45.66, 25.09), ('Ridge', -13.23, 0.51), ('Lasso', -1.83, -0.00), ('Elastic Net', -0.25, -1.92)]:\n",
    "    check(f'본문 {k} s1 계수', a_, coefs[k].s1, 0.005); check(f'본문 {k} s2 계수', b_, coefs[k].s2, 0.005)\n",
    "check('본문 Lasso noise1 = 0', 0.0, coefs['Lasso'].noise1, 1e-9)\n",
    "fig, ax = plt.subplots(figsize=(12, 4.6)); w = .2; xx = np.arange(len(cols))\n",
    "for i, (k, c) in enumerate(zip(M, [GRAY, BLUE, ORANGE, GREEN])): ax.bar(xx+(i-1.5)*w, coefs[k].values, w, color=c, label=k)\n",
    "ax.set_xticks(xx, cols); ax.axhline(0, color='black', lw=.8); ax.legend(frameon=False, ncol=4); ax.set_title('네 가지 방법의 계수 비교'); plt.tight_layout(); plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "02b77a77",
   "metadata": {
    "lines_to_next_cell": 0
   },
   "source": [
    "## 9. docx 수치 자동 대조"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "357cb153",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-09-29T10:21:45.179612Z",
     "iopub.status.busy": "2026-09-29T10:21:45.179431Z",
     "iopub.status.idle": "2026-09-29T10:21:45.186955Z",
     "shell.execute_reply": "2026-09-29T10:21:45.186044Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                      항목    docx      노트북 일치\n",
      "           본문 s1-s2 상관계수   0.900   0.8967  ✅\n",
      "본문 noise3 표준편차 비(약 240배) 240.000 239.2922  ✅\n",
      "        그림2 표준화 전 noise1  26.680  26.6765  ✅\n",
      "        그림2 표준화 전 noise2 -23.110 -23.1074  ✅\n",
      "        그림2 표준화 전 noise3   0.330   0.3327  ✅\n",
      "        그림2 표준화 후 noise1   2.080   2.0796  ✅\n",
      "        그림2 표준화 후 noise2  -6.070  -6.0740  ✅\n",
      "        그림2 표준화 후 noise3   3.330   3.3335  ✅\n",
      "   캡션 noise3 1SD당(약 3.9)   3.900   3.8919  ✅\n",
      "          캡션 noise2 1SD당  -1.150  -1.1458  ✅\n",
      "               그림5 λ_min   0.910   0.9070  ✅\n",
      "               그림5 λ_1se   4.670   4.6719  ✅\n",
      "                표 OLS R²   0.428   0.4280  ✅\n",
      "            표 OLS 0 계수 수   0.000   0.0000  ✅\n",
      "              표 Ridge R²   0.438   0.4380  ✅\n",
      "          표 Ridge 0 계수 수   0.000   0.0000  ✅\n",
      "              표 Lasso R²   0.470   0.4700  ✅\n",
      "          표 Lasso 0 계수 수   4.000   4.0000  ✅\n",
      "        표 Elastic Net R²   0.442   0.4420  ✅\n",
      "    표 Elastic Net 0 계수 수   0.000   0.0000  ✅\n",
      "            본문 OLS s1 계수 -45.660 -45.6630  ✅\n",
      "            본문 OLS s2 계수  25.090  25.0917  ✅\n",
      "          본문 Ridge s1 계수 -13.230 -13.2297  ✅\n",
      "          본문 Ridge s2 계수   0.510   0.5146  ✅\n",
      "          본문 Lasso s1 계수  -1.830  -1.8292  ✅\n",
      "          본문 Lasso s2 계수  -0.000  -0.0000  ✅\n",
      "    본문 Elastic Net s1 계수  -0.250  -0.2529  ✅\n",
      "    본문 Elastic Net s2 계수  -1.920  -1.9189  ✅\n",
      "     본문 Lasso noise1 = 0   0.000   0.0000  ✅\n",
      "\n",
      "일치 29 / 29\n"
     ]
    }
   ],
   "source": [
    "_ = report()"
   ]
  }
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