diff --git a/book/intro_en.md b/book/intro_en.md index 0b37600..ee968dd 100644 --- a/book/intro_en.md +++ b/book/intro_en.md @@ -25,7 +25,8 @@ Main contributors of this project are: Jiwoo Son
- GitHub + GitHub · + LinkedIn Junghyun Kim
diff --git a/book/intro_ko.md b/book/intro_ko.md index 08cdbb9..6c661a9 100644 --- a/book/intro_ko.md +++ b/book/intro_ko.md @@ -25,7 +25,8 @@ YouTube에서도 영상 시리즈를 볼 수 있습니다: 손지우
- GitHub + GitHub · + LinkedIn 김정현
diff --git a/book/myst.yml b/book/myst.yml index 617cab2..4d04517 100644 --- a/book/myst.yml +++ b/book/myst.yml @@ -23,6 +23,14 @@ project: file: why_causal_inference/why_causal_inference_en.ipynb - file: why_causal_inference/why_causal_inference_ko.ipynb hidden: true + - title: RDD Basics + file: rdd/01_rdd_basic_en.ipynb + - file: rdd/01_rdd_basic_ko.ipynb + hidden: true + - title: Fuzzy RDD + file: rdd/02_fuzzy_rdd_en.ipynb + - file: rdd/02_fuzzy_rdd_ko.ipynb + hidden: true site: template: book-theme diff --git a/book/rdd/01_rdd_basic_en.ipynb b/book/rdd/01_rdd_basic_en.ipynb new file mode 100644 index 0000000..bfac64b --- /dev/null +++ b/book/rdd/01_rdd_basic_en.ipynb @@ -0,0 +1,1027 @@ +{ + "cells": [ + { + "attachments": {}, + "cell_type": "markdown", + "id": "a0000001", + "metadata": {}, + "source": [ + "**🌐 Language:** **English** | [한국어 →](/rdd-basic-ko)\n", + "\n", + "# Regression Discontinuity Design (RDD)\n", + "\n", + "Written by Jiwoo Son · GitHub · LinkedIn" + ] + }, + { + "cell_type": "code", + "execution_count": 29, + "id": "a0000002", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import statsmodels.formula.api as smf\n", + "import warnings\n", + "\n", + "plt.rcParams['axes.unicode_minus'] = False\n", + "\n", + "np.random.seed(2026)\n", + "warnings.filterwarnings('ignore')" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "a0000003", + "metadata": {}, + "source": [ + "## 1. What is RDD?\n", + "\n", + "The college entrance exam results are in. The scholarship cutoff is 70 points. A student who scored 69 and a student who scored 71 are just 2 points apart — a difference that likely reflects the luck of the day more than any meaningful gap in ability. Yet one receives a scholarship and the other does not.\n", + "\n", + "Now flip the question. If we want to estimate the causal effect of the scholarship on academic achievement, who is the ideal comparison group? Exactly these two students. Those just above and just below the cutoff are essentially equivalent in every way except for whether they received the scholarship.\n", + "\n", + "This is the core idea of **RDD (Regression Discontinuity Design)**.\n", + "\n", + "When treatment (a policy, benefit, etc.) is assigned based on whether a continuous variable crosses a specific threshold (cutoff), we compare units just on either side of that threshold to estimate the causal effect. Unlike RCT, there is no random assignment — but near the cutoff, the situation closely approximates one.\n", + "\n", + "RDD applies in more real-world settings than you might expect.\n", + "\n", + "| Setting | Running Variable | Cutoff | Treatment |\n", + "|---------|-----------------|--------|-----------|\n", + "| Scholarship eligibility | Exam score | 70 points | Scholarship award |\n", + "| Welfare benefit eligibility | Income level | 50% of median income | Cash transfer |\n", + "| Legal drinking age | Age | 19 years old | Alcohol purchase allowed |\n", + "| Drug insurance coverage | Drug price | Specific price threshold | Insurance reimbursement |\n", + "\n", + "Wherever a clear rule determines treatment, RDD is worth considering." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "a0000004", + "metadata": {}, + "source": [ + "## 2. Types of RDD\n", + "\n", + "RDD comes in two main variants: Sharp Design and Fuzzy Design.\n", + "\n", + "* `Sharp Design`: treatment is fully determined by whether the running variable crosses the cutoff.\n", + "* `Fuzzy Design`: the cutoff affects the probability of treatment, but does not perfectly determine it.\n", + "\n", + "For example, if every student who scores above 70 is guaranteed a scholarship, that’s Sharp. If some eligible students don’t apply or fail a secondary review, that’s Fuzzy. This chapter focuses on Sharp RDD; Fuzzy RDD is covered in a separate chapter." + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "f49a8ea9", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_rdd_type():\n", + " c = 0\n", + " R = np.linspace(-3, 3, 300)\n", + " \n", + " D_sharp = np.where(R >= c, 1.0, 0.0)\n", + " \n", + " D_fuzzy = np.where(R >= c,\n", + " 0.65 + 0.1 * np.tanh(R * 2),\n", + " 0.15 + 0.1 * np.tanh(R * 2))\n", + " \n", + " fig, axes = plt.subplots(1, 2, figsize=(12, 5))\n", + " \n", + " # ── Sharp RDD ──\n", + " ax = axes[0]\n", + " ax.plot(R[R < c], D_sharp[R < c], 'tomato', linewidth=3, label=r'$P(D=1|R)$: $R < c$')\n", + " ax.plot(R[R >= c], D_sharp[R >= c], 'steelblue', linewidth=3, label=r'$P(D=1|R)$: $R \\geq c$')\n", + " ax.axvline(c, color='gray', linestyle=':', linewidth=1.5)\n", + " ax.scatter([c], [0], s=80, color='tomato', zorder=5, edgecolors='tomato', facecolors='none', linewidths=2)\n", + " ax.scatter([c], [1], s=80, zorder=5)\n", + " ax.annotate('', xy=(c, 1.0), xytext=(c, 0.0),\n", + " arrowprops=dict(arrowstyle='<->', color='black', lw=2))\n", + " ax.text(c + 0.1, 0.5, '0 → 1\\n(perfect jump)', fontsize=11, va='center', fontweight='bold')\n", + " ax.text(c + 0.05, -0.07, '$c$', fontsize=12, color='gray')\n", + " ax.set_ylim(-0.15, 1.25)\n", + " ax.set_title('Sharp RDD', fontsize=13, fontweight='bold')\n", + " ax.set_xlabel('Running Variable $R$', fontsize=11)\n", + " ax.set_ylabel(r'$P(D=1 \\mid R)$', fontsize=11)\n", + " ax.legend(fontsize=9)\n", + " ax.grid(alpha=0.3)\n", + " \n", + " # ── Fuzzy RDD ──\n", + " ax = axes[1]\n", + " ax.plot(R[R < c], D_fuzzy[R < c], 'tomato', linewidth=3, label=r'$P(D=1|R)$: $R < c$')\n", + " ax.plot(R[R >= c], D_fuzzy[R >= c], 'steelblue', linewidth=3, label=r'$P(D=1|R)$: $R \\geq c$')\n", + " ax.axvline(c, color='gray', linestyle=':', linewidth=1.5)\n", + " \n", + " d_l = np.interp(c - 0.009, R, D_fuzzy)\n", + " d_r = np.interp(c + 0.009, R, D_fuzzy)\n", + " ax.scatter([c], [d_l], s=80, color='tomato', zorder=5, facecolors='none', edgecolors='tomato', linewidths=2)\n", + " ax.scatter([c], [d_r], s=80, zorder=5)\n", + " ax.annotate('', xy=(c, d_r), xytext=(c, d_l),\n", + " arrowprops=dict(arrowstyle='<->', color='black', lw=2))\n", + " ax.text(c + 0.1, (d_l + d_r) / 2,\n", + " f'{d_l:.2f} → {d_r:.2f}\\n(partial jump)', fontsize=11, va='center', fontweight='bold')\n", + " ax.text(c + 0.05, -0.07, '$c$', fontsize=12, color='gray')\n", + " ax.set_ylim(-0.15, 1.25)\n", + " ax.set_title('Fuzzy RDD', fontsize=13, fontweight='bold')\n", + " ax.set_xlabel('Running Variable $R$', fontsize=11)\n", + " ax.set_ylabel(r'$P(D=1 \\mid R)$', fontsize=11)\n", + " ax.legend(fontsize=9)\n", + " ax.grid(alpha=0.3)\n", + " \n", + " fig.suptitle(r'Sharp vs Fuzzy RDD — $P(D=1 \\mid R)$', fontsize=14, fontweight='bold')\n", + " plt.tight_layout()\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "5fda877b", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_rdd_type()" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "a0000006", + "metadata": {}, + "source": [ + "## 3. Key Assumptions\n", + "\n", + "For RDD to produce valid causal estimates, two important assumptions must hold.\n", + "\n", + "### Continuity Assumption\n", + "\n", + "The first is **continuity of potential outcomes**. Both the expected GPA without the scholarship and the expected GPA with it must vary smoothly near the cutoff — no sudden jumps.\n", + "\n", + "$$\\mathbb{E}[Y_i(0) \\mid X_i = x] \\quad \\text{and} \\quad \\mathbb{E}[Y_i(1) \\mid X_i = x] \\quad \\text{are continuous at } x = c$$\n", + "\n", + "Why does this matter? If this holds, then any **sharp discontinuity** in observed outcomes near the cutoff can only be attributed to the treatment (the scholarship).\n", + "\n", + "What if this assumption breaks down? For instance, if the school provides extra tutoring specifically to students near the 70-point threshold, then a jump in GPA near the cutoff could be due to the tutoring — not the scholarship — and we can no longer identify the causal effect.\n", + "\n", + "### Local Randomization\n", + "\n", + "The second assumption is another way of expressing continuity. Very close to the cutoff $c$, whether a student scores 69.5 or 70.5 is essentially random.\n", + "\n", + "For this logic to hold, units must be **unable to precisely manipulate** their running variable value. If a teacher inflates a student’s score to push them above 70, or if students strategically aim for exactly 70, the near-randomness near the cutoff is destroyed. This is called **manipulation**, and it must be tested before any RDD analysis." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "a0000007", + "metadata": {}, + "source": [ + "## 4. Key Components\n", + "\n", + "A few core concepts need to be clearly defined before proceeding.\n", + "\n", + "**Running Variable** $X_i$ is the continuous variable that determines treatment. Exam scores, age, and income level are all examples — each unit has a different value, and that value determines whether they receive treatment. Crucially, units must not be able to precisely control this value.\n", + "\n", + "**Cutoff** $c$ is the threshold that determines treatment. In Sharp RDD, units with $X_i \\geq c$ receive treatment and those with $X_i < c$ do not.\n", + "\n", + "$$D_i = \\mathbf{1}[X_i \\geq c]$$\n", + "\n", + "**Potential Outcomes** follow the Rubin Causal Model introduced in the causal inference chapter.\n", + "\n", + "- $Y_i(1)$: GPA if the scholarship is received\n", + "- $Y_i(0)$: GPA if the scholarship is not received\n", + "- Observed outcome: $Y_i^{obs} = D_i \\cdot Y_i(1) + (1 - D_i) \\cdot Y_i(0)$\n", + "\n", + "We can never observe both $Y_i(1)$ and $Y_i(0)$ for the same student. A scholarship recipient reveals only $Y_i(1)$; a non-recipient reveals only $Y_i(0)$.\n", + "\n", + "The table below illustrates this." + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "a0000008", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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StudentX (Exam Score)D (Scholarship)Y(0) — GPA withoutY(1) — GPA withObserved GPA
0A6903.1?3.1
1B701?3.63.6
2C711?3.73.7
3D751?3.93.9
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" + ], + "text/plain": [ + " Student X (Exam Score) D (Scholarship) Y(0) — GPA without Y(1) — GPA with \\\n", + "0 A 69 0 3.1 ? \n", + "1 B 70 1 ? 3.6 \n", + "2 C 71 1 ? 3.7 \n", + "3 D 75 1 ? 3.9 \n", + "\n", + " Observed GPA \n", + "0 3.1 \n", + "1 3.6 \n", + "2 3.7 \n", + "3 3.9 " + ] + }, + "execution_count": 32, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.DataFrame({\n", + " 'Student': ['A', 'B', 'C', 'D'],\n", + " 'X (Exam Score)': [69, 70, 71, 75],\n", + " 'D (Scholarship)': [0, 1, 1, 1],\n", + " 'Y(0) — GPA without': [3.1, '?', '?', '?'],\n", + " 'Y(1) — GPA with': ['?', 3.6, 3.7, 3.9],\n", + " 'Observed GPA': [3.1, 3.6, 3.7, 3.9],\n", + "})" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "a0000009", + "metadata": {}, + "source": [ + "The cells marked with ? are counterfactuals. RDD estimates these counterfactuals near the cutoff — for students like those at 69 and 70 points. It does not estimate the counterfactual for a student at 75 points. This is both the scope and the limitation of RDD." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "a0000010", + "metadata": {}, + "source": [ + "## 5. Understanding RDD with Formulas\n", + "\n", + "RDD estimates the **Local Average Treatment Effect (LATE) at the cutoff**.\n", + "\n", + "$$\\tau_{SRD} = \\lim_{x \\rightarrow c+} \\mathbb{E}[Y_i \\mid X_i = x] - \\lim_{x \\rightarrow c-} \\mathbb{E}[Y_i \\mid X_i = x]$$\n", + "\n", + "Intuitively, this is the expected outcome just to the right of the cutoff minus the expected outcome just to the left. If the continuity assumption holds, this difference is purely due to the treatment.\n", + "\n", + "In practice, we fit separate regression lines on each side of the cutoff and measure the difference in their intercepts at $c$.\n", + "\n", + "$$Y_i = \\beta_0 + \\beta_1 (X_i - c) + \\beta_2 D_i + \\beta_3 D_i (X_i - c) + \\varepsilon_i$$\n", + "\n", + "Let’s walk through each parameter. $\\beta_0$ is the expected outcome just below the cutoff — the intercept for the untreated side. $\\beta_2$ is the key parameter: the jump in outcome at the cutoff due to treatment, i.e., the **treatment effect (LATE)**. $\\beta_1$ is the slope for the untreated side, and $\\beta_3$ captures how much the slope changes on the treated side.\n", + "\n", + "The left and right limits at the cutoff are:\n", + "\n", + "$$\\lim_{x \\rightarrow c-} \\mathbb{E}[Y \\mid X=x] = \\beta_0 \\qquad \\lim_{x \\rightarrow c+} \\mathbb{E}[Y \\mid X=x] = \\beta_0 + \\beta_2$$\n", + "\n", + "Therefore $\\hat{\\tau}_{SRD} = \\hat{\\beta}_2$.\n", + "\n", + "Note that this is a **local** effect, limited to units near the cutoff. RDD cannot tell us how a scholarship would affect students who scored in the 40s." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "a0000011", + "metadata": {}, + "source": [ + "## 6. Visualization\n", + "\n", + "The core of RDD estimation is visually confirming **how regression lines differ on each side of the cutoff**.\n", + "\n", + "The graph below contains three layers of information.\n", + "\n", + "- **Scatter plot**: each student's exam score (X-axis) and GPA (Y-axis). Students who received the scholarship (treated) and those who did not (untreated) are distinguished by color.\n", + "- **Regression lines**: separate lines fitted independently to the left (untreated) and right (treated) of the cutoff.\n", + "- **Discontinuity (Jump)**: the difference in intercepts between the two regression lines at the cutoff is the **estimated treatment effect ($\\hat{\\tau}_{SRD}$)**." + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "dded5318", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_rdd_regression(beta_0=2.0, beta_1=0.015, beta_2=0.5, beta_3=0.005,\n", + " show_line=True, show_data=True, show_labels=True, random_seed=2026):\n", + "\n", + " np.random.seed(random_seed)\n", + " c = 70 # cutoff\n", + "\n", + " # -----------------------------\n", + " # 시뮬레이션 데이터 생성\n", + " # -----------------------------\n", + " r_obs = np.random.uniform(40, 100, 200)\n", + " D_obs = (r_obs > c).astype(int)\n", + "\n", + " y_obs = (\n", + " beta_0\n", + " + beta_1 * (r_obs - c)\n", + " + beta_2 * D_obs\n", + " + beta_3 * D_obs * (r_obs - c)\n", + " + np.random.normal(0, 0.15, size=len(r_obs))\n", + " )\n", + "\n", + " df = pd.DataFrame({\n", + " \"y\": y_obs,\n", + " \"x\": r_obs,\n", + " \"D\": D_obs\n", + " })\n", + "\n", + " df[\"x_centered\"] = df[\"x\"] - c\n", + " df[\"interaction\"] = df[\"D\"] * df[\"x_centered\"]\n", + "\n", + " # -----------------------------\n", + " # smf 회귀\n", + " # -----------------------------\n", + " model = smf.ols(\n", + " \"y ~ x_centered + D + interaction\",\n", + " data=df\n", + " ).fit()\n", + "\n", + " # 추정된 계수\n", + " b0_hat = model.params[\"Intercept\"].round(2)\n", + " b1_hat = model.params[\"x_centered\"].round(2)\n", + " b2_hat = model.params[\"D\"].round(2)\n", + " b3_hat = model.params[\"interaction\"].round(2)\n", + "\n", + " # -----------------------------\n", + " # 회귀선 (추정치 기반)\n", + " # -----------------------------\n", + " r = np.linspace(40, 100, 200)\n", + " D = (r > c).astype(int)\n", + "\n", + " y = (\n", + " b0_hat\n", + " + b1_hat * (r - c)\n", + " + b2_hat * D\n", + " + b3_hat * D * (r - c)\n", + " )\n", + "\n", + " r_left = r[r <= c]\n", + " y_left = y[r <= c]\n", + "\n", + " r_right = r[r > c]\n", + " y_right = y[r > c]\n", + "\n", + " plt.figure(figsize=(10, 6))\n", + "\n", + " # -----------------------------\n", + " # 산점도\n", + " # -----------------------------\n", + " if show_data:\n", + " plt.scatter(\n", + " r_obs[r_obs <= c],\n", + " y_obs[r_obs <= c],\n", + " color='tomato',\n", + " alpha=0.3,\n", + " s=20,\n", + " zorder=1\n", + " )\n", + "\n", + " plt.scatter(\n", + " r_obs[r_obs > c],\n", + " y_obs[r_obs > c],\n", + " color='steelblue',\n", + " alpha=0.3,\n", + " s=20,\n", + " zorder=1\n", + " )\n", + "\n", + " # -----------------------------\n", + " # 회귀선\n", + " # -----------------------------\n", + " if show_line:\n", + "\n", + " plt.plot(\n", + " r_left,\n", + " y_left,\n", + " label=r'$X \\leq c$ (No Treatment)',\n", + " color='tomato',\n", + " linewidth=2.5,\n", + " zorder=2\n", + " )\n", + "\n", + " plt.plot(\n", + " r_right,\n", + " y_right,\n", + " label=r'$X > c$ (Treatment)',\n", + " color='steelblue',\n", + " linewidth=2.5,\n", + " zorder=2\n", + " )\n", + "\n", + " y_left_intercept = b0_hat\n", + " y_right_intercept = b0_hat + b2_hat\n", + "\n", + " plt.scatter(\n", + " [c], [y_left_intercept],\n", + " color='tomato',\n", + " s=80,\n", + " zorder=5,\n", + " facecolors='none',\n", + " edgecolors='tomato',\n", + " linewidths=2\n", + " )\n", + "\n", + " plt.scatter(\n", + " [c], [y_right_intercept],\n", + " color='steelblue',\n", + " s=80,\n", + " zorder=5\n", + " )\n", + "\n", + " plt.annotate(\n", + " '',\n", + " xy=(c, y_right_intercept),\n", + " xytext=(c, y_left_intercept),\n", + " arrowprops=dict(arrowstyle='<->', color='black', lw=2)\n", + " )\n", + "\n", + " # -----------------------------\n", + " # label (추정값 사용)\n", + " # -----------------------------\n", + " if show_labels:\n", + "\n", + " plt.text(\n", + " c - 14,\n", + " y_left_intercept - 0.04,\n", + " r\"Intercept = $\\hat{\\beta}_0$\" + f\" = {b0_hat:.2f}\",\n", + " color='tomato',\n", + " fontweight='bold',\n", + " fontsize=10\n", + " )\n", + "\n", + " plt.text(\n", + " c + 0.8,\n", + " y_right_intercept + 0.2,\n", + " r\"Intercept = $\\hat{\\beta}_0$ + $\\hat{\\beta}_2$\" + f\" = {(b0_hat + b2_hat):.2f}\",\n", + " color='steelblue',\n", + " fontweight='bold',\n", + " fontsize=10\n", + " )\n", + "\n", + " plt.text(\n", + " c + 0.8,\n", + " (y_left_intercept + y_right_intercept) / 2,\n", + " r\"Jump = $\\hat{\\beta}_2$\"\n", + " + f\" = {b2_hat:.2f}\",\n", + " color='black',\n", + " fontweight='bold',\n", + " fontsize=10\n", + " )\n", + "\n", + " x_sl = 52\n", + " y_sl = b0_hat + b1_hat * (x_sl - c)\n", + "\n", + " plt.text(\n", + " x_sl - 10,\n", + " y_sl,\n", + " r\"Slope = $\\hat{\\beta}_1$\"\n", + " + f\" = {b1_hat:.2f}\",\n", + " color='tomato',\n", + " fontsize=9\n", + " )\n", + "\n", + " x_sr = 86\n", + " y_sr = (\n", + " b0_hat\n", + " + b2_hat\n", + " + (b1_hat + b3_hat) * (x_sr - c)\n", + " )\n", + "\n", + " plt.text(\n", + " x_sr - 10,\n", + " y_sr + 0.1,\n", + " r\"Slope = $\\hat{\\beta}_1 + \\hat{\\beta}_3$\"\n", + " + f\" = {(b1_hat + b3_hat):.2f}\",\n", + " color='steelblue',\n", + " fontsize=9\n", + " )\n", + "\n", + " plt.axvline(\n", + " x=c,\n", + " linestyle='--',\n", + " color='gray',\n", + " linewidth=1.5\n", + " )\n", + "\n", + " plt.text(\n", + " c + 0.3,\n", + " plt.ylim()[0] + 0.05,\n", + " f'$c = {c}$',\n", + " fontsize=11,\n", + " color='gray'\n", + " )\n", + "\n", + " plt.title(\n", + " \"Regression Parameters Visualization (SAT Score → GPA)\",\n", + " fontsize=13,\n", + " fontweight='bold'\n", + " )\n", + "\n", + " plt.xlabel(\"SAT Score $X$\", fontsize=11)\n", + " plt.ylabel(\"GPA\", fontsize=11)\n", + "\n", + " if show_line:\n", + " plt.legend(fontsize=10)\n", + "\n", + " plt.grid(True, alpha=0.3)\n", + " plt.tight_layout()\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "cf85dddc", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_rdd_regression(beta_0=2.0, beta_1=0.015, beta_2=0.5, beta_3=0.005)" + ] + }, + { + "cell_type": "markdown", + "id": "99178d2b", + "metadata": {}, + "source": [ + "There are a few things to focus on when reading this graph.\n", + "\n", + "**Look near the cutoff.** RDD's causal inference holds only just to the left and right of the cutoff (70 points). The fact that students scoring in the 40s and 95s have different GPAs may reflect differences in ability, not the scholarship effect. Only the **jump at the cutoff where the two regression lines fail to meet** has a causal interpretation.\n", + "\n", + "**Slopes may differ.** The regression lines for the treated group (right) and untreated group (left) are allowed to have different slopes. The tendency for GPA to rise with score may vary depending on treatment status. The $\\beta_3$ term in the regression equation from Section 5 handles this slope difference.\n", + "\n", + "**A larger jump does not necessarily mean a larger effect.** In Sharp RDD, the jump is the estimated treatment effect directly. In Fuzzy RDD, the jump in Y must be divided by the jump in D. This distinction is covered in the next chapter." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "a0000013", + "metadata": {}, + "source": [ + "## 7. Example\n", + "\n", + "Let's run a simulation directly. We set the scholarship cutoff at 70 points with a true treatment effect of 0.5 GPA points. We then check whether RDD recovers this effect.\n", + "\n", + "The key steps: fit separate OLS regression lines on the left and right of the cutoff, then estimate the treatment effect as the difference in their intercepts at the cutoff." + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "a0000014", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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scoretreatedgpascore_c
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" + ], + "text/plain": [ + " score treated gpa score_c\n", + "0 70.055752 1 2.769492 0.055752\n", + "1 78.710320 1 2.569921 8.710320\n", + "2 97.172015 1 2.588147 27.172015\n", + "3 86.065729 1 2.460113 16.065729\n", + "4 68.748219 0 1.838636 -1.251781\n", + "5 89.957620 1 2.320030 19.957620\n", + "6 78.774072 1 2.793793 8.774072\n", + "7 40.977001 0 1.911363 -29.022999" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "n = 500\n", + "cutoff = 70\n", + "true_effect = 0.5\n", + "\n", + "score = np.random.uniform(40, 100, n)\n", + "treated = (score >= cutoff).astype(int)\n", + "gpa = (\n", + " 2.0\n", + " + 0.015 * (score - cutoff) # natural effect of running variable\n", + " + true_effect * treated # scholarship effect\n", + " + np.random.normal(0, 0.25, n)\n", + ")\n", + "\n", + "df = pd.DataFrame({\n", + " 'score': score,\n", + " 'treated': treated,\n", + " 'gpa': gpa,\n", + " 'score_c': score - cutoff, # centered at cutoff\n", + "})\n", + "\n", + "df.head(8)" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "a0000015", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Left intercept at cutoff: 2.0218\n", + "Right intercept at cutoff: 2.4957\n", + "Estimated treatment effect: 0.4739\n", + "True treatment effect: 0.5\n" + ] + } + ], + "source": [ + "# Fit OLS separately on each side of the cutoff\n", + "model_left = smf.ols('gpa ~ score_c', data=df[df['treated'] == 0]).fit()\n", + "model_right = smf.ols('gpa ~ score_c', data=df[df['treated'] == 1]).fit()\n", + "\n", + "y_at_c_left = model_left.predict(pd.DataFrame({'score_c': [0.0]}))[0]\n", + "y_at_c_right = model_right.predict(pd.DataFrame({'score_c': [0.0]}))[0]\n", + "estimated_effect = y_at_c_right - y_at_c_left\n", + "\n", + "print(f\"Left intercept at cutoff: {y_at_c_left:.4f}\")\n", + "print(f\"Right intercept at cutoff: {y_at_c_right:.4f}\")\n", + "print(f\"Estimated treatment effect: {estimated_effect:.4f}\")\n", + "print(f\"True treatment effect: {true_effect}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "a0000016", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(10, 6))\n", + "\n", + "left = df[df['treated'] == 0]\n", + "right = df[df['treated'] == 1]\n", + "\n", + "ax.scatter(left['score'], left['gpa'], color='tomato', alpha=0.35, s=20, label='Untreated')\n", + "ax.scatter(right['score'], right['gpa'], color='steelblue', alpha=0.35, s=20, label='Treated')\n", + "\n", + "s_left = np.linspace(40, cutoff, 100)\n", + "s_right = np.linspace(cutoff, 100, 100)\n", + "ax.plot(s_left, model_left.predict(pd.DataFrame({'score_c': s_left - cutoff})), color='tomato', linewidth=2.5, label='Regression line (untreated)')\n", + "ax.plot(s_right, model_right.predict(pd.DataFrame({'score_c': s_right - cutoff})), color='steelblue', linewidth=2.5, label='Regression line (treated)')\n", + "\n", + "ax.scatter([cutoff], [y_at_c_left], s=100, color='tomato', zorder=6, facecolors='none', edgecolors='tomato', linewidths=2)\n", + "ax.scatter([cutoff], [y_at_c_right], s=100, color='steelblue', zorder=6)\n", + "ax.annotate('', xy=(cutoff, y_at_c_right), xytext=(cutoff, y_at_c_left),\n", + " arrowprops=dict(arrowstyle='<->', color='black', lw=2.5))\n", + "ax.text(cutoff + 0.8, (y_at_c_left + y_at_c_right) / 2,\n", + " f'$\\\\hat{{\\\\tau}}_{{SRD}}$ = {estimated_effect:.3f}',\n", + " fontsize=12, va='center', fontweight='bold')\n", + "\n", + "ax.axvline(cutoff, color='gray', linestyle=':', linewidth=1.5)\n", + "ax.text(cutoff + 0.3, 1.65, f'Cutoff = {cutoff}', fontsize=11, color='gray')\n", + "\n", + "ax.set_title('Sharp RDD Estimate: Effect of Scholarship on GPA', fontsize=14, fontweight='bold')\n", + "ax.set_xlabel('Exam Score', fontsize=12)\n", + "ax.set_ylabel('GPA', fontsize=12)\n", + "ax.legend(fontsize=10)\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "a0000017", + "metadata": {}, + "source": [ + "## ETC.\n", + "\n", + "Here we review misconceptions that often arise when applying RDD, and the checks that should be run before any analysis.\n", + "\n", + "### Common Misconceptions\n", + "\n", + "\"Just look near the cutoff\" is correct in spirit, but **how close is close enough** cannot be chosen arbitrarily. Too narrow a window leaves too few observations and inflates variance; too wide a window mixes in units far from the cutoff and introduces bias. This window is the **bandwidth**, and the optimal bandwidth is selected algorithmically (Imbens & Kalyanaraman, 2012).\n", + "\n", + "\"RDD is the same as a randomized experiment\" is also imprecise. Quasi-randomization holds only *near* the cutoff. RDD does not estimate effects for units far from the cutoff, and external validity may be limited.\n", + "\n", + "### Validity Check: McCrary Density Test\n", + "\n", + "The most important check is whether **manipulation** has occurred. The test proposed by McCrary (2008) is straightforward: verify that the distribution of the running variable is continuous at the cutoff.\n", + "\n", + "If students deliberately aim to score just above 70, or if graders push borderline students over the threshold, there will be an abnormal spike in observations just above the cutoff. Conversely, if units avoid being just above the cutoff, the region just below it will be depleted. Either case appears as a sudden density change near the cutoff in a histogram." + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "a0000018", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1, 2, figsize=(14, 5))\n", + "\n", + "# ── Left: No manipulation ──\n", + "ax = axes[0]\n", + "score_clean = np.random.normal(70, 12, 600)\n", + "score_clean = score_clean[(score_clean >= 40) & (score_clean <= 100)]\n", + "\n", + "ax.hist(score_clean[score_clean < cutoff], bins=20, color='tomato', edgecolor='white', alpha=0.8, label='Score < 70')\n", + "ax.hist(score_clean[score_clean >= cutoff], bins=20, color='steelblue', edgecolor='white', alpha=0.8, label='Score ≥ 70')\n", + "ax.axvline(cutoff, color='black', linestyle='--', linewidth=2)\n", + "ax.text(cutoff + 0.5, ax.get_ylim()[1] * 0.92, f'Cutoff = {cutoff}', fontsize=10, color='black')\n", + "ax.set_title('Normal: density continuous at cutoff', fontsize=13, fontweight='bold')\n", + "ax.set_xlabel('Exam Score', fontsize=11)\n", + "ax.set_ylabel('Count', fontsize=11)\n", + "ax.legend(fontsize=10)\n", + "ax.text(0.05, 0.90, 'McCrary test\\nnot significant ✓', transform=ax.transAxes,\n", + " fontsize=10, color='green', fontweight='bold',\n", + " bbox=dict(boxstyle='round,pad=0.4', facecolor='white', alpha=0.8))\n", + "\n", + "# ── Right: Manipulation suspected ──\n", + "ax2 = axes[1]\n", + "score_below = np.random.normal(62, 8, 300)\n", + "score_below = score_below[(score_below >= 40) & (score_below < cutoff)]\n", + "score_above = np.concatenate([\n", + " np.random.normal(78, 7, 200),\n", + " np.random.uniform(70, 73, 120) # units abnormally clustered just above cutoff\n", + "])\n", + "score_above = score_above[(score_above >= cutoff) & (score_above <= 100)]\n", + "\n", + "ax2.hist(score_below, bins=20, color='tomato', edgecolor='white', alpha=0.8, label='Score < 70')\n", + "ax2.hist(score_above, bins=20, color='steelblue', edgecolor='white', alpha=0.8, label='Score ≥ 70')\n", + "ax2.axvline(cutoff, color='black', linestyle='--', linewidth=2)\n", + "ax2.text(cutoff + 0.5, ax2.get_ylim()[1] * 0.92, f'Cutoff = {cutoff}', fontsize=10, color='black')\n", + "ax2.set_title('Manipulation suspected: density spike after cutoff', fontsize=13, fontweight='bold')\n", + "ax2.set_xlabel('Exam Score', fontsize=11)\n", + "ax2.set_ylabel('Count', fontsize=11)\n", + "ax2.legend(fontsize=10)\n", + "ax2.text(0.05, 0.90, 'McCrary test\\nsignificant → RDD threatened!', transform=ax2.transAxes,\n", + " fontsize=10, color='crimson', fontweight='bold',\n", + " bbox=dict(boxstyle='round,pad=0.4', facecolor='white', alpha=0.8))\n", + "\n", + "plt.suptitle('McCrary Density Test: Running Variable Histogram', fontsize=14, fontweight='bold')\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "a0000019", + "metadata": {}, + "source": [ + "### Other Validity Checks\n", + "\n", + "Beyond the McCrary test, several other checks are important.\n", + "\n", + "**Covariate smoothness test**: run RDD using predetermined covariates (gender, parental income, etc.) as the outcome. If a covariate is discontinuous at the cutoff, it suggests confounding. These checks should show no jump.\n", + "\n", + "**Placebo cutoff test**: run RDD at a fake cutoff (e.g., 60 or 80 points). There should be no discontinuity at a non-threshold value.\n", + "\n", + "**Donut hole test**: exclude observations very close to the cutoff (e.g., within ±2 points) and re-run the analysis. If the estimate changes substantially, something suspicious is happening near the cutoff.\n", + "\n", + "| Test | Purpose | Expected Result |\n", + "|------|---------|------------------|\n", + "| **McCrary density test** | Check for running variable manipulation | Density continuous at cutoff |\n", + "| **Covariate smoothness** | Verify other factors are unrelated to cutoff | Covariate jump = 0 |\n", + "| **Placebo cutoff** | No discontinuity at non-threshold values | Effect at fake cutoff = 0 |\n", + "| **Donut hole** | Robustness to near-cutoff manipulation | Estimates stable after exclusion |" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "a0000020", + "metadata": {}, + "source": [ + "## References\n", + "\n", + "- [Causal Inference for the Brave and True (Youtube)](https://www.youtube.com/watch?v=8SIoMJTmO3A)\n", + "- Imbens, G. W., & Lemieux, T. (2008). Regression discontinuity designs: A guide to practice. *Journal of Econometrics*, 142(2), 615–635.\n", + "- McCrary, J. (2008). Manipulation of the running variable in the regression discontinuity design: A density test. *Journal of Econometrics*, 142(2), 698–714.\n", + "- Cattaneo, M. D., Idrobo, N., & Titiunik, R. (2019). *A Practical Introduction to Regression Discontinuity Designs*. Cambridge University Press." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "base", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.5" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/book/rdd/01_rdd_basic_ko.ipynb b/book/rdd/01_rdd_basic_ko.ipynb new file mode 100644 index 0000000..a691883 --- /dev/null +++ b/book/rdd/01_rdd_basic_ko.ipynb @@ -0,0 +1,1002 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "b0248633", + "metadata": {}, + "source": [ + "**🌐 Language:** [English →](/rdd-basic-en) | **한국어**\n", + "\n", + "# Regression Discontinuity Design (RDD)\n", + "\n", + "작성자 손지우 · GitHub · LinkedIn" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "58cf8b6f", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import statsmodels.formula.api as smf\n", + "import warnings\n", + "\n", + "plt.rcParams['font.family'] = 'AppleGothic'\n", + "plt.rcParams['axes.unicode_minus'] = False\n", + "\n", + "np.random.seed(2026)\n", + "warnings.filterwarnings('ignore')" + ] + }, + { + "cell_type": "markdown", + "id": "236f5080", + "metadata": {}, + "source": [ + "## 1. RDD란 무엇인가?\n", + "\n", + "수능이 끝나고 결과가 나왔습니다. 장학금 기준은 70점. 69점을 받은 학생과 71점을 받은 학생은 딱 2점 차이밖에 나지 않습니다. 실력 차이라기보다는 그날의 컨디션이나 운이 결과를 갈라놓은 것에 가깝습니다. 그런데 한 명은 장학금을 받고, 다른 한 명은 받지 못합니다.\n", + "\n", + "이 상황을 거꾸로 생각해봅시다. 장학금이 이후 학업 성취도에 미치는 인과 효과를 알고 싶다면, 가장 이상적인 비교 대상은 누구일까요? 바로 이 두 학생입니다. 기준 점수 바로 위와 아래에 있는 학생들은 장학금 수혜 여부를 제외하면 사실상 동등한 조건에 있습니다.\n", + "\n", + "이것이 **RDD(Regression Discontinuity Design)**의 핵심 아이디어입니다.\n", + "\n", + "어떤 특정 기준점(cutoff)을 넘는지 여부로 처치(정책, 혜택 등)가 결정될 때, 그 기준점 바로 근방의 개체들을 비교해 인과 효과를 추정하는 방법입니다. RCT처럼 무작위 배정을 하지 않았지만, 기준점 근방에서는 마치 무작위 배정에 가까운 상황이 만들어집니다.\n", + "\n", + "현실에서 RDD를 적용할 수 있는 상황은 생각보다 많습니다.\n", + "\n", + "| 상황 | Running Variable | Cutoff | Treatment |\n", + "|------|-----------------|--------|-----------|\n", + "| 장학금 기준 점수 | 수능 점수 | 70점 | 장학금 수혜 |\n", + "| 복지 수급 자격 | 소득 수준 | 기준 중위소득 50% | 급여 지원 |\n", + "| 음주 허용 나이 | 나이 | 만 19세 | 주류 구매 허용 |\n", + "| 의약품 보험 적용 | 약가 | 특정 기준 가격 | 보험 급여 적용 |\n", + "\n", + "이처럼 RDD는 \"명확한 규칙으로 처치가 결정되는\" 상황이라면 어디서든 적용을 고려해볼 수 있습니다." + ] + }, + { + "cell_type": "markdown", + "id": "8d273a62", + "metadata": {}, + "source": [ + "## 2. RDD 종류\n", + "\n", + "RDD는 크게 Sharp Design과 Fuzzy Design으로 나뉩니다.\n", + "\n", + "* `Sharp Design`: 임계값을 기준으로 처치 여부가 완전히 결정되는 경우\n", + "* `Fuzzy Design`: 임계값이 처치 확률에는 영향을 주지만 실제 처치 여부가 완전히 일치하지는 않는 경우\n", + "\n", + "예를 들어 장학금 기준 점수를 넘으면 반드시 장학금을 받는다면 Sharp, 넘어도 신청하지 않거나 심사에서 탈락할 수 있다면 Fuzzy입니다. 이 장에서는 Sharp RDD를 중심으로 다루며, Fuzzy RDD는 별도 챕터에서 자세히 설명합니다." + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "d759fe99", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_rdd_type():\n", + " c = 0\n", + " R = np.linspace(-3, 3, 300)\n", + " \n", + " D_sharp = np.where(R >= c, 1.0, 0.0)\n", + " \n", + " D_fuzzy = np.where(R >= c,\n", + " 0.65 + 0.1 * np.tanh(R * 2),\n", + " 0.15 + 0.1 * np.tanh(R * 2))\n", + " \n", + " fig, axes = plt.subplots(1, 2, figsize=(12, 5))\n", + " \n", + " # ── Sharp RDD ──\n", + " ax = axes[0]\n", + " ax.plot(R[R < c], D_sharp[R < c], 'tomato', linewidth=3, label=r'$P(D=1|R)$: $R < c$')\n", + " ax.plot(R[R >= c], D_sharp[R >= c], 'steelblue', linewidth=3, label=r'$P(D=1|R)$: $R \\geq c$')\n", + " ax.axvline(c, color='gray', linestyle=':', linewidth=1.5)\n", + " ax.scatter([c], [0], s=80, color='tomato', zorder=5, edgecolors='tomato', facecolors='none', linewidths=2)\n", + " ax.scatter([c], [1], s=80, zorder=5)\n", + " ax.annotate('', xy=(c, 1.0), xytext=(c, 0.0),\n", + " arrowprops=dict(arrowstyle='<->', color='black', lw=2))\n", + " ax.text(c + 0.1, 0.5, '0 → 1\\n(perfect jump)', fontsize=11, va='center', fontweight='bold')\n", + " ax.text(c + 0.05, -0.07, '$c$', fontsize=12, color='gray')\n", + " ax.set_ylim(-0.15, 1.25)\n", + " ax.set_title('Sharp RDD', fontsize=13, fontweight='bold')\n", + " ax.set_xlabel('Running Variable $R$', fontsize=11)\n", + " ax.set_ylabel(r'$P(D=1 \\mid R)$', fontsize=11)\n", + " ax.legend(fontsize=9)\n", + " ax.grid(alpha=0.3)\n", + " \n", + " # ── Fuzzy RDD ──\n", + " ax = axes[1]\n", + " ax.plot(R[R < c], D_fuzzy[R < c], 'tomato', linewidth=3, label=r'$P(D=1|R)$: $R < c$')\n", + " ax.plot(R[R >= c], D_fuzzy[R >= c], 'steelblue', linewidth=3, label=r'$P(D=1|R)$: $R \\geq c$')\n", + " ax.axvline(c, color='gray', linestyle=':', linewidth=1.5)\n", + " \n", + " d_l = np.interp(c - 0.009, R, D_fuzzy)\n", + " d_r = np.interp(c + 0.009, R, D_fuzzy)\n", + " ax.scatter([c], [d_l], s=80, color='tomato', zorder=5, facecolors='none', edgecolors='tomato', linewidths=2)\n", + " ax.scatter([c], [d_r], s=80, zorder=5)\n", + " ax.annotate('', xy=(c, d_r), xytext=(c, d_l),\n", + " arrowprops=dict(arrowstyle='<->', color='black', lw=2))\n", + " ax.text(c + 0.1, (d_l + d_r) / 2,\n", + " f'{d_l:.2f} → {d_r:.2f}\\n(partial jump)', fontsize=11, va='center', fontweight='bold')\n", + " ax.text(c + 0.05, -0.07, '$c$', fontsize=12, color='gray')\n", + " ax.set_ylim(-0.15, 1.25)\n", + " ax.set_title('Fuzzy RDD', fontsize=13, fontweight='bold')\n", + " ax.set_xlabel('Running Variable $R$', fontsize=11)\n", + " ax.set_ylabel(r'$P(D=1 \\mid R)$', fontsize=11)\n", + " ax.legend(fontsize=9)\n", + " ax.grid(alpha=0.3)\n", + " \n", + " fig.suptitle(r'Sharp vs Fuzzy RDD — $P(D=1 \\mid R)$', fontsize=14, fontweight='bold')\n", + " plt.tight_layout()\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "94f73d8a", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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8oom+t7zlF1ifPn1a5PmKKkplZ2fjm2++gVQqxZgxY4p8PlufU6pgf0gkEpQrVw4rV67EoUOHcOTIEVy7dk21smZBSqUSqampGu9NREREtoZFKSIismkPHz5ERkYGqlevXmib2NhYAIWvYqXL4cOHER8fj927d2v90Xfs2DFRseqyY8cOlC1bVrXyXFEaNWqE4OBgbN68GRUqVMDvv/+ORYsWFdre1dUV3bp1Q7du3VCjRg1s2rTJqEWp/BFTjx490hollpaWht27d0Mul2tsf++993DmzBn8+eefha7QZkg74MVE7j169MDdu3exbds2g0ZJFXfe1atXY/PmzZgwYYJexwiCgMmTJ0OhUOjd12KO6dChg17tSiJ/Em59CznBwcGQSqW4efNmkecrrCglCAImTJiAO3fuYMyYMcX+TNj6nFKF9YdMJkNERAQ+/vhjbNu2TevWvnz//PMPlEolXn31VZPHSkREZCq8fY+IiGxaQkICGjVqhPXr1+tcPv7MmTNYuXIlWrZsadAfb/m3xBT8o3fnzp3Yv3+/wXHu27dP63a2bdu24dixY5gxY0axI7fyjRgxAlu3bsXmzZsREhKiMeH4wYMHceDAAa1j4uPjER8fX+zIGEO9+uqr8PDwwMqVKzW2KxQKjBw5UjXHUL7169fj66+/xpYtW1CzZs1Cz6tvu3xdunRBUFAQJkyYgFu3bmHYsGHiLqiAOnXqoF69eli7dq1e7bOzszFu3Djs3bsXb7/9Ntq3b2+SY8xBoVDg0qVL8PX11ft14+npibp16+LcuXNaP4v555PL5ToLyP/88w969uyJdevWoUmTJqqV/YoSFxenuq1Qn6+IiAi9rsMc8vujsEnfe/XqBeDF+01hzpw5AwCFLq5ARERkCzhSioiIbFq5cuVQtWpVDB8+HJ999hnCwsJQvXp1JCcn48SJE9i2bRuqVaumMReTPtq1a4e6deti7NixuHnzJqpVq4aoqChERkZi2rRpWLx4MZYsWYJu3bqp5tIpyrfffovDhw8jIiICfn5+OHr0KNauXYuBAwfi7bff1juuoUOHYubMmfjkk0+wYMECjX3JyckICwtDy5YtMXDgQPj7+yM2NhYrV66EQqHAwoULDeqD4jg5OeHTTz/Fm2++ifT0dPTp0wdZWVlYs2YN4uLiMG3aNPz0008AgEuXLmHs2LHo1KkTsrOzsWvXLq3zVaxYETKZTK926qNLJBIJ3nzzTUyZMgWtW7cudnJoQwwYMAAffPABLl26hHr16qm2P3jwQBVbVlYWrl+/jvXr1+PBgwf48MMPdY5uEXOMpVy/fh3Pnz9Hs2bNDDru9ddfx8cff4w///xT49j885UpUwaffPIJgBerzyUlJeH8+fM4f/48JBIJxo4di6+//lrUrbAltWbNGkRFRQGAagXONWvWqEZGtmjRoshJ+Q2R3x+vvfaazoJ0SEgIKlasiJiYGK0VN/P9/vvvsLOzU80pR0REZJMEIiIiG6dUKoXdu3cLQ4cOFSpXriw4OjoKcrlcaNSokfDFF18ImZmZqraxsbECAOHo0aM6z9W6dWth+PDhgiAIQlJSkjBp0iShQoUKglwuF9q0aSNERUUJT548EWrVqiW4ubkJO3fuLPKc+ft27NghvPvuu0JgYKDg4OAgBAcHC99++62gUCgMvt5evXoJTk5OQnJysta+AwcOCIMGDRIqVaokODk5CVWqVBFGjBghxMbG6nVuAMLs2bMNimfjxo1C3bp1BQcHByEgIEAYNWqUEBcXJ6xbt06oVKmSIAiCsG7dOgFAkV/Dhw/Xu11Bt2/fFgAI//d//2dQ7MVd782bNwUAwltvvaXaVqlSJVUsEolE8PLyEurXry+8++67wq1bt3SeR8wxlhQZGSkAEKZNm2bQcQ8fPhTs7OyECRMm6Dyf+pdcLhcCAwOFjh07CnPmzBHu3LljzEsw2PDhww1+3elSvnx5YciQIUW2ye+PqVOnFtpm0qRJAgBh8eLFWvsyMjIEuVwu9OnTR6+YiIiIrJVEEApZGoeIiIhKLC4uDlWqVMHRo0fRpk0bS4dTan377beYNWsWHj9+rPfk4mQaw4YNw969e3H37t2X8v+iQoUKaNOmDTZu3Giy51izZg3GjBmD48ePo1WrViZ7HiIiIlPjnFJERERkk/755x98//33WLZsGT744ANMnDjxpSyCWJv58+fj+fPn+Pbbby0dSqmUl5eHTz/9FL169WJBioiIbB7nlCIiIiKb9OzZM8yYMQN5eXno378/5s+fb+mQCEClSpXwww8/4MmTJ5YOpVS6d+8ewsPDjTahPxERkSXx9j0iIiIiIiMxx+17REREpQWLUkREREREREREZHacU4qIiIiIiIiIiMyORSkiIiIiIiIiIjI7FqWIiIiIiIiIiMjsWJQiIiIiIiIiIiKzY1GKiIiIiIiIiIjMjkUpIiIiIiIiIiIyOxaliIiIiIiIiIjI7FiUIiIiIiIiIiIis2NRioiIiIiIiIiIzI5FKSIiIiIiIiIiMjsWpYiIiIiIiIiIyOxYlCIiIiIiIiIiIrNjUYqIiIiIiIiIiMyORSkiIiIiIiIiIjI7FqWIiIiIiIiIiMjsWJQiIiIiIiIiIiKzY1GKiIiIiIiIiIjMjkUpIiIiIiIiIiIyOxaliIiIiIiIiIjI7FiUIiIiIiIiIiIis2NRioiIiIiIiIiIzI5FKSIyq7/++gsDBgxA2bJlYW9vjzJlyqBbt2747rvvkJmZqWpXuXJlREZGWi5QPcTFxUEikWh8yWQy+Pn5oWnTpvj888/x/PlzVfs5c+ZotJXL5ahSpQreeOMNHDp0SOv8x44d02jv6OiIcuXKoWvXrli7di3y8vLMeblERERkAQVzjYJfLVq0sHSIolWuXFnrejw9PREcHIypU6fiwYMHqrZi8iL19nZ2dvD19UWzZs0wb948JCcnm/NSiagQdpYOgIheHhs3bsTw4cPRvn17fPvttwgMDMTjx4+xe/duTJ48GRcuXMB3331n6TANtnz5cjRr1kz1fXx8PI4cOYJPPvkEv/zyC6KioiCVvvgMwMfHB4cOHYJCoUB6ejpu3ryJLVu2oGPHjhg5ciRWr16taptv586dqFSpEjIyMnDv3j3s378f48ePx/fff489e/bA39/frNdLRERE5jV79mz0799f5z65XG7maIxrxIgRmDx5sur7tLQ0XLx4EUuWLMGGDRtw/vx5VKxYUbXf0Lwov++eP3+O+Ph4REVF4auvvsKKFSuwc+dONGnSxGzXSkTaWJQiIrN49uwZJkyYgEGDBmHz5s0a+15//XV89NFHOHLkiIWiK5lXXnkFISEhGts6deqEhg0bYsCAATh+/Djatm0LALCzs9No26ZNG4wbNw5fffUVpk6dioCAAMyfP1/jXDVr1kTNmjVV37/xxhsYN24cunTpggEDBuDo0aNahSwiIiIqPSpUqKCVa5QW/v7+WtfWqlUr9O3bF9WrV8fatWsxd+5c1T5D86KCfde7d29MmTIFnTp1Qu/evXHx4kWUK1fOZNdHREXjXzFEZBZXr17Fs2fPMHjwYJ37q1SpglGjRpk5KtNq06YNAODp06fFtn3nnXcQERGBL774Avfu3Su2fYsWLbB8+XL88ccf2L59e0lDJSIiIrIqgYGBCAoK0iuPMjQvKl++PHbt2oWUlBR88sknxgiXiERiUYqIzKJs2bIAgJ9++gmCIOh93MmTJ9GmTRu4ubnhlVdewaxZs5CRkaHaf+PGDYwcORIVKlSAg4MDqlSpggULFkCpVKraHDt2DE5OTrh37x569+4NNzc3VTwSiQR//vkn1q5di5o1a8LJyQk1atTA119/bVCcuqxduxb29vZo2LChXu1nz56NnJwcrF+/Xq/2Q4cORaVKlbBmzZqShElERESlQJs2bRAREaFzX0REhGpfwTkuC37FxcUBKHouq/xz1a9fH8OGDdP5nKNHj0aDBg1EX8/p06dx/fp1jSkSimJoXlStWjUMHDgQGzZsQHZ2tug4iahkWJQiIrOoVKkSxowZgw0bNqBZs2bYtGkT0tPTizzmt99+Q9++fdGvXz/89ttvePPNN/H1119j6NChqjZvvPEGsrKy8N133+Hw4cMIDw/HnDlztG6BEwQBPXr0gCAI2L17N7Zt26ba9+2332Lx4sX45JNPcOzYMYSHh2PGjBmYMmWKQdcoCALS09Nx7tw5TJ48GXPmzME333yDSpUq6XV81apVUaVKFRw/flyv9jKZDO3atUNUVJRGEY6IiIioMOPHj8fFixc1vs6ePYvg4GA0adJEdStbwTYXL17EV199BalUitdffx0AMGnSJPz0009ak4bn5uZi586dCA8PNyi258+f4+bNm1iyZAm6deuGoUOHFjrKviAxeVHHjh2RmZmJc+fOGRQnERkP55QiIrNZtWoVGjZsiBUrVmDo0KFwdHRE+/bt0atXL7z++utaE1Nu3boVp06dUk1A2bRpU0gkEkybNg33799HYGAgNmzYgODgYNUxLVu2RHp6OpYsWYKPPvpItT0nJwcuLi7YuXMnZDKZxvP89ttvuH79Onx9fQEATZo0QUBAAEaNGoXBgwejadOmRV5X165dtbYNHDgQ0dHRqFGjhkF9FBAQgIcPHxrUPjs7G4mJiZzwnIiIqJSaMGECJkyYoHPfF198gXfffVfvc5UtW1Y1YjzfuHHjkJaWhsOHD8PBwQEAtOZ5unHjhuqDv969ewMAwsLCMH36dPzwww8aH+b9/vvvSEtLwxtvvFFsPJ9//jk+//xzjW316tXDzz//rJqTU1+G5kUBAQEAYFDuRUTGxZFSRGQ2UqkUY8eORXR0NGJjY/H5558jMzMTEyZMQFBQEDZu3KjRvl+/floronTp0gUAcPfuXQDQKEgBQHZ2NmrVqoW0tDQ8fvxYY9+0adO0ClIA8NZbb6kKUvkiIiIQGBioNSm7LsuXL8fFixdx5swZbN++Ha1bt8aePXu0nl8f2dnZOmMsqj0Ag44hIiIi2zJ79mydI5cuXryI4cOHl+jc33zzDTZt2oTdu3ejTJkyOts8ffoUPXv2RM+ePTFr1izVdmdnZ4waNQqrV6/WaL9t2zZ06dIFfn5+xT7/iBEjcPHiRZw/fx6//vorRo0ahcuXL+Ovv/4y+FoMzYuYRxFZHkdKEZFFVK5cGW+//TbefvttXLx4Ef3798fw4cMRGhqqKjTpGqHk4uICAMjLywMAZGVlYevWrTh48CDOnz+PO3fuqNoUnB/gtdde0xlLaGio1japVIo6derg1q1bxV6L+up7jRs3Rt++fdGyZUtMmjQJV65cKfZ4dXfv3kX9+vUNau/s7AwvLy+DnoeIiIhsh6lW3zt48CDeffddbN++vdDz5+XloX///vDz89M5X9PEiROxZMkSnDhxAi1btkR2djZ++eUXrUJVYQquvte9e3d4e3vjww8/xNChQ1G+fHm9r8fQvCj/Q06uvkdkORwpRUQWFxoaihUrVkCpVOLgwYOq7d7e3kUeFx8fj9DQUCxatAgtWrTAjz/+iPT0dPz000862xc2jNvZ2Vnn9mfPnsHOzvDavUwmw/z583H16lWcPn1a7+POnz+PxMREtGrVSq/22dnZOHr0KJo3b66x9DERERGROl0r2N24cQODBg3CJ598gj59+hR67KRJk3D79m3s3LkTjo6OWvsrV66MHj164PvvvwcAHDhwABKJBD179hQd7+zZs+Ho6Kj34i+AuLzowIEDcHFxKdGE7ERUMvwrhojMorhVTfLnNnByctL7nMuWLUNiYiL++usvvPnmm6hXrx6cnZ1x9erVEsUKABkZGYiJiUHdunVFHd+2bVtUrlwZmzZt0vuYefPmwdHRsdCVcwpauXIlkpKSMG7cOFExEhERUenh7OyssUJxvqysLK1b4fJvx+vduzdmzpxZ6Dm//fZbbNq0CXv27Cn01j7gvwnPnz59im3btmHAgAEG5XQFeXh4oF+/fgblUYbmRRcuXMDevXsxYsQI1TxaRGR+LEoRkVkcOHAAY8eOLXTFvaVLl8LBwQHdunXT+5yZmZmQy+VwdXVVbUtPT8dXX31lUGz5Sx+rW7hwITIyMjBy5EiDzpVPIpHg9ddfx/bt21W3Ghbl448/xi+//IL58+frNUz9wIEDmDlzJnr06IF+/fqJipGIiIhKj1dffRUnTpzQKkzNmzcPT548UX2fl5eHAQMGoEyZMqrRTbr8/vvvePfdd7Fp06ZiP6Tr0KEDKlWqhFWrVmHPnj0Gr7qnS9++fXH16lVcunSp2LaG5kV37txB//79UbFiRcyZM6fEsRKReJxTiojMoly5cti2bRt++uknjBs3Du3atYObmxtu376NVatW4dSpU/juu+9QuXJlvc85cOBAfPPNNxg1ahRGjBiBBw8eYO7cuXjttddw//59HDx4EN27dy/2PBMmTMDZs2cxYMAAODg4YPv27Vi5ciVWrVqFoKAg0dfcs2dPfPXVV/jtt99Uxba8vDxER0cDeLEi4I0bN7BmzRqcOnUKCxYs0Ll6zo0bN5CVlQWFQoEHDx7gp59+wubNm9G3b1+sW7cOEolEdIxERERUOrz99tv47rvv0LlzZ8yaNQtubm7YtGkTtm7dqvGh35QpU3D27Fn89NNPuH79utZ5KlasiKdPn2LgwIEICwtDxYoVVblLPgcHB9SuXVv1vUQiwZtvvol3330XFSpUQIsWLUp8PR06dICzszM2bdqEevXqqbYbmhc9ePBAFX9iYiIOHTqEFStWoHLlyvj555+1FrshIvNiUYqIzKJRo0a4ffs21qxZg7179+K7775Deno6/P390aZNGyxdutTg+/kbN26MX3/9FR999BG6dOmCcuXK4Z133kF4eDhu3bqFd955B15eXsUuCbxy5UqcOnUKYWFhyMjIQIMGDbB//3506tSpJJeMli1bwsvLCxs3blQlg0lJSQgNDYVEIoG7uzsqVaqEdu3aYe3atahWrZrO87z++usAXkzyHhAQgGbNmuHQoUMGL5NMREREpVf58uVx+PBhvPfee+jfvz9cXFzQoUMH/PXXX9iwYQMePHgAAPj111+Rnp6Ozp076zzPunXrAAApKSn44Ycf8MMPP2i1qVSpktZI8+HDh2Pq1KkYOnSoUa7HxcUF7du3x5YtW/DZZ5+pthuaFy1YsAALFiyAg4MDfH19Ub9+fSxbtgxvvPGGqLlDici4JIIgCJYOgojIUiQSCX7//Xd06NDB0qEQERER2azo6GiEhobin3/+QdWqVS0dDhHZCJaGiYiIiIiISJRff/0VHh4eeO+999C7d28WpIjIIJzonIiIiIiIiERZsGABOnbsCFdX1yInTici0oW37xERERERERERkdlxpBQREREREREREZkdi1JERERERERERGR2LEoREREREREREZHZcfU9NUqlEo8ePYKbmxskEomlwyEiIiIrIAgC0tPTUa5cOUil/DxPF+ZQREREpE7f/IlFKTWPHj1CYGCgpcMgIiIiK3T//n1UqFDB0mFYJeZQREREpEtx+ROLUmrc3NwAvOg0d3d3o59fqVQiISEBfn5+/KTVAOw38dh34uTk5GDJkiUAgHfeeQdOTk4Wjsh28DUnHvtOPFP3XVpaGgIDA1V5AmkzZQ7Fnw3x2Hfise8Mx/ypZPiaE499J4615E8sSqnJH27u7u5usqJUVlYW3N3d+cNiAPabeOw7cQRBwNSpU/H06VP4+PhAJpNZOiSbwdeceOw78czVd7wtrXCmzKH4syEe+0489p3hmD+VDF9z4rHvxLGW/IlFKSKiAiQSCXx8fKBQKPhHKBEREZEemD8RkRgsIxIRERERERERkdmxKEVEVIBCocDZs2dx5coVKBQKS4dDREREZPWYPxGRGLx9j4ioAIVCgQMHDgAAWrRoAXt7ewtHRAUJgoC8vLxSlfQqlUrk5uYiKyuL8yEYyBh9Z29vz/lPiIhKgPmTbVAoFMjNzbV0GEbFHEocY/SbTCaDnZ1diW7ZZVGKiKgAqVSKWrVqITs7m7/YrFBOTg4eP36MzMxMS4diVIIgQKlUIj09nXNxGMgYfSeRSFChQgXI5XIjR0dE9HJg/mT9nj17hgcPHkAQBEuHYlTMocQxVr+5uLggICAADg4Ooo63+qKUv78/rl27Bl9f3yLbnT17Fl9//TVOnjyJ5ORk1KxZE3PmzEGXLl3MFCkRlRZ2dnbo378/4uPjYWdn9W+TLxWlUonY2FjIZDKUK1cODg4OpSb5yB/9VdJPm15GJe07QRCQkJCABw8eoFq1aqVmxBRzKCIyJ+ZP1k2hUODBgwdwcXGBn59fqco1mEOJY4z8KScnBwkJCYiNjUW1atVEFaSt9t0iIyMDq1evRkJCgl7t58+fj/79+2PZsmVwc3PDwYMHERYWht9++w2NGjUycbRERGQOOTk5UCqVCAwMhIuLi6XDMSomVOIZo+/8/PwQFxeH3Nxcmy9KMYciIqKCcnNzIQgC/Pz84OzsbOlwjIo5lDjG6DdnZ2fY29vj7t27yMnJgZOTk8HnsMqi1MqVKzFt2jQolUq9j/n55581kshu3bphyJAh2LNnDxMqIqJShrcFkLGVliSWORQRERWltPy+I+tR0rzcKrP6CRMmIDMzE1lZWXofo+tTzSdPnsDd3d2YoRHRSyA3NxdLly7Fhg0bSt1EkERUujGHIiJLYf5ERGJY5UgpY9i8eTOioqKwcuXKQttkZ2cjOztb9X1aWhqAF3OWGPIJo76USqVqMjHSH/tNPPadOAqFAunp6arH7D/9mfo1l3/+/K/SJv+aSuO1mVpJ+y7/NaUrB3jZ3gOsLYfi7zLx2Hfise8Mx/ypZJhDlQxzKHGM0W+F5VD6vpZLXVFKqVRizpw52LBhAw4cOFDk5J4LFy7E3LlztbYnJCQY9AmjIbGlpqZCEATeemIA9pt47DtxlEol+vbti/T0dDx9+pSTdRrA1K+53NxcKJVK5OXlIS8vz+jntyRBEKBQKABwaL2hjNF3eXl5UCqVSEpK0lrGPP+PrNLOWnMo/i4Tj30nHvvOcMyfSoY5lHjMocQxVr8VlkPpmz+VqneKf//9F0OGDIGnpycuXLgALy+vItvPmjULU6dOVX2flpaGwMBA+Pn5mWTIulKphEQigZ+fH3+5GYD9Jh77Tjx/f38kJCSw7wxk6tdcVlYW0tPTYWdnZ/PJ7tatW7Fz505s27ZNY3vBgog5RUZG4vjx41i3bp3ex3Tu3BnTp09Hhw4dTBiZfkrSd3Z2dpBKpfDx8dGapFPMpJ22xppzKP4uE499Jx77ThzmT+Ixh9IfcyjjKmm/FZZD6Zs/2farUU1sbCzatGmDWbNmYfz48Xod4+joCEdHR63tUqnUZG+iEonEpOcvrdhv4rHvxGPfiWPKfpNKpZBIJKova5abmws3NzfIZDJIJBI4ODige/fuWLNmDezt7TF79mz88ssvquvIycmBu7u7qr1EIkFwcDDGjRuHESNGGCWmZcuWITIyEjExMejatSt27dqlsT8/lvx/1a8BAFxcXFSrtOVvmz17NqZMmYKLFy8aHI8+59eHIAhasRsqv891vXZL+3uALeRQfD8Wj30nHvtOHPabeMyhXmAOVTxj5FDGyJ/yj9X12tX3dWyTRSmlUql1geHh4fjkk08wfPhwC0VFRKWFQqHA5cuXkZaWBh8fHyZV1kqpBDLSzP+8ru6AHq+Jq1evIi8vD4mJiZDL5bhz5w4aNGiAH374AeXKlYO3tzdeffVVjfY5OTlITk6Gh4cHMjIycPDgQYwePRqJiYmYPn16iUMvV64cPvjgAxw6dAgPHjzQ6xpyc3ORkJAANzc3XLt2DY0bN0aLFi0wZMgQAECrVq2QkpKCkydPonnz5gbFo8/59ZGeng6lUgkPDw+Dnv9lxByKiEyF+ZMNYQ5lsNKcQzk4OEAulxv0/MZkc0Wp06dPo2PHjoiJiUGVKlUAADdu3EB6ejqTKSIyCoVCgd27dwMAXnvtNYsOBaYiZKQB7ww2//N+tRVw8yy22YULFxAcHKz6Jf/KK6+gTJkyyMrKwu7du9GuXTut9kFBQapbn1xdXdG3b1/cvn0bS5cuNUpC1bdvXwBAdHS0XgnVhQsXUL16dbi5uQEAateujYCAAMTHx6vaSCQStGvXDrt379ZIqDZu3Ijjx49j9erVJTp/YRQKBX777Tds2LABe/bsQVRUFOrWravVbv/+/fj4449x9epVyOVyTJ8+He+++26x5y+NmEMRkSkxf7IhzKEMVppzqD///BPBwcFa7cyVQ9lc+drZ2Rmurq4ab3K3bt1SdVTBr2bNmlkwWiKyRVKpFFWrVkXFihX5KR+JduHCBTRp0gTAi3kcli9fjkePHqF79+6Ijo5GzZo1tdqHhIRonad27dp49OiR1gomEydOhKenZ6FfUVFRRrmGhg0bqq5h6dKlePjwIXr16qUVY3R0tMY2b29vVKhQwSjnV3fx4kW88847KF++PN5//300aNAAN2/eRO3atbXaRkZGYsyYMVi4cCFSU1MRHR2NFi1a6HPppRJzKCIyJeZPZCzMocyTQ9WvXx9Xr161eA5l9SOlCi5NGBISgidPnmhs69GjB3Jzc80ZFhGVYnZ2dggLC0N8fLzNTwRJlnPhwgVER0dj+/btkMvlCAkJwaFDhxAUFITk5GStyaAvXryIHj16aJ0nJSVF520QK1aswIoVK8xyDbt370Z6ejqqVq2KqKgoBAUFabRzd3dHcnKyxrZu3bqhW7duRjk/APz444+YO3cunj17hjfeeANHjhxRJVGCIGitJJSWloYpU6Zgx44daN++PQAgICAAAQEBBveDrWIORUTmxPyJjIU5lHlyKF35E2D+HIolbCIiIiNTKBS4dOkSTpw4geTkZNy/fx979uxB48aNAQBeXl5IS0vTaq/rU75jx46hbdu25gpdK6ZDhw4hNTUVly5dwpMnTzTizpeWllbsam0lOT8APHjwAHfv3kXdunVRr1491e1nhTly5AgCAgJUyRQRERFZP+ZQxj0/YP05FEvYRERkm1zdX8xNYInnLcaNGzeQnZ2t8/584MWIlRs3bmi0z8zMRGhoqEa7mJgYbN68GYcOHdI6x/jx47Fx48ZCY9i/fz9atmxZbKyFuXHjBp4/f66ap+nVV1/FoEGDsHr1arRp00aj7bVr13Qmg8Y6PwC88847GDt2LH7++WesXbsW48aNQ69evfDGG2/oTJqSkpIMTvKIiIheCsyhmEP16oWwsDC0adNGa2SjuXMojpQiIiogNzcXy5cvx5YtW3hbizWTSl9MlmnuLz3mybhw4QKqVq0KJycnnft79uyJo0eParQPDAyEr68vgBfJwOrVq9GuXTt88sknaNq0qdY5Vq1ahWfPnhX6pSuZysvLQ1ZWFvLy8qBUKpGVlYWcnJxCryEoKEhjNZaePXvi119/1Trm6NGjWsPm9+/fj3nz5hXSQ4adP5+rqyuGDRuG3377DdevX0e9evUwc+ZMVKhQAXfu3NFoW79+fURHR6vmhXj06BFOnTpVaDxERFQyzJ9sCHMo5lD16mHWrFmoXLmyxXMoFqWIiAoQBAFPnz5FWlqa1pwsRPq4cOGCzpXg8nXr1g2JiYm4cuWKqv3Dhw/h5eUFb29v1K9fH4cPH8auXbswbdo0o8U1f/58ODs7Y8GCBdizZw+cnZ3RqVOnQq+h4Cd37du3R05ODo4cOaLaduLECbi7u2slcPHx8bh7926hseh7/sIEBARg2rRpiI6OxqFDh+Dp6amxPzQ0FF9++SXCw8Ph6uqK5s2bIy4urtjzEhGROMyfyBiYQ5kvh7p48SIOHDhg8RxKIvAdQyUtLQ0eHh5ITU3VmjzNGJRKJeLj4+Hv788VKQzAfhOPfSeOUqnE/fv3kZycjDp16nCyTgOY+jWXlZWF2NhYVKlSpdBP0GzFli1bsGvXLmzbtg3Af5N129nZQSKRWCSmyMhIHDt2DJGRkXof07lzZ7z77rvo2LGj6QIrhjH6rqjXlqnzg9LAlH3E32Xise/EY98ZjvlTyTCH0h9zKOMwVr8V9trSNzfgOwURUQFSqRSBgYFwdHRkIkomExYWhrCwMEuHUWIHDx60dAhERGQFmD+RuTCHKl1YlCIiIiIALyYPLTiEm4iIiIiKxhxKPBaliIgKUCqVuHbtGlJTU+Hr68tP++ilERISYvAKMERERADzJ3q5MYcSj0UpIqIC8vLysGPHDgBAgwYNOCcCERERUTGYPxGRGHynICIqQCKRoFKlSsjJybHYZIlEREREtoT5ExGJwaIUEVEB9vb2CA8PR3x8POzt7S0dDhEREZHVY/5ERGLwRl8iIiIiIiIiIjI7FqWIiIiIiIiIiMjsWJQiIiogNzcX33//PX766Sfk5uZaOhwiIiIiq8f8iYjE4JxSREQFCIKAJ0+eqB4TERERUdGYPxGRGCxKEREVYGdnhyFDhiAlJYXLGRMRERHpgfkTEYnB2/eIiAqQSqV45ZVXUKFCBUilfJsk09i6dSsGDhxo6TA0REZGIiIiwqBjOnXqhEOHDpkmICIishnMn8hcmEOVLny3ICIiMoHc3Fw4OTnB1dUVcrkc3t7eGDZsGLKzs6FUKvH+++/jww8/1Gjv5uYGuVwOuVwONzc3NGnSBOvWrTNaTMuWLUPDhg3h6OiIPn36GHQNrq6u8PPzw4QJE6BQKFRtZs+ejenTp4uKR5/zExER0cuFOVTxSlMOxXGVREQFKJVK/PPPP0hJSYGvry8/7bNSSkFAWmaO2Z/X3cUBUomk2HZXr15FXl4eEhMTIZfLcefOHTRo0AA//PADypUrB29vb7z66qsa7XNycpCcnAwPDw9kZGTg4MGDGD16NBITE0UnLerKlSuHDz74AIcOHcKDBw/0uobc3FwkJCTAzc0N165dQ+PGjdGiRQsMGTIEANCqVSukpKTg5MmTaN68uUHx6HP+fD///DMqVqyIBg0aQKJH/xMRkXkxf7IdzKEMxxzKdFiUIiIqIC8vD1u3bgUA1KtXj/MiWKm0zBwM+tL8Q563Te0AT1fHYttduHABwcHBkMvlAIBXXnkFZcqUQVZWFnbv3o127dpptQ8KCoK7uzsAwNXVFX379sXt27exdOlSoyRUffv2BQBER0frlVBduHAB1atXh5ubGwCgdu3aCAgIQHx8vKqNRCJBu3btsHv3bo2EauPGjTh+/DhWr15dovPnu337Nt58801IJBJ0794dPXr0QIcOHeDq6lrkNezfvx8ff/wxrl69CrlcjunTp+Pdd98t9tqJiMgwzJ9sB3Mow5XGHMrFxaXIazBXDsXyNRFRARKJBAEBAfDz87PKTxPINly4cAFNmjQBAGRlZWH58uV49OgRunfvjujoaNSsWVOrfUhIiNZ5ateujUePHkGpVGpsnzhxIjw9PQv9ioqKMso1NGzYUHUNS5cuxcOHD9GrVy+tGKOjozW2eXt7o0KFCkY5PwBMnz4djx49wq5du1C2bFl8/PHH8PX1RdeuXbF8+XJkZWVpHRMZGYkxY8Zg4cKFSE1NRXR0NFq0aGFIFxARkZ6YP5GxMIcyTw7VrVs3rFy50uI5FMvXREQF2NvbY/To0YiPj4e9vb2lwyEbdeHCBURHR2P79u2Qy+UICQnBoUOHEBQUhOTkZNWnefkuXryIHj16aJ0nJSUFPj4+WrdBrFixAitWrDDLNezevRvp6emoWrUqoqKiEBQUpNHO3d0dycnJGtu6deuGbt26GeX8+SQSCRo3bozGjRujb9++WLlyJdauXYsjR46gR48eqk9UASAtLQ1TpkzBjh070L59ewBAQEAAAgICxHQFEREVg/kTGQtzKPPmUH379tUogpk7h+JIKSIiIiNTKBS4dOkSTpw4geTkZNy/fx979uxB48aNAQBeXl5IS0vTaq/rU75jx46hbdu25gpdK6ZDhw4hNTUVly5dwpMnTzTizpeWlgYvLy+TnR8AMjIysHv3bowdOxbly5dHly5dkJOTg23btiEhIQHly5fXaH/kyBEEBASokikiIiKyfsyhjHt+oPAcauvWrXj8+LHFcyiOlCIiIpvk7uKAbVM7WOR5i3Pjxg1kZ2cjODhY5/6QkBDcuHFDo31mZiZCQ0M12sXExGDz5s06lwseP348Nm7cWGgM+/fvR8uWLYuNtTA3btzA8+fPUbduXQDAq6++ikGDBmH16tVo06aNRttr167pTAaNdX4ACAsLw927d9GzZ0/s2LEDjRs3Vn3yKQgC8vLyNNonJSUZnOQRERG9DJhDMYeSSqU68yfA/DkUi1JERAXk5uZi/fr1yM3NxYgRI+DoWPyEjGR+UolEr8kyLeHChQuoWrUqnJycdO7v2bMnPvnkE432gYGB8PX1BfAiGfj555/x/vvv45NPPkHTpk21zrFq1SqsWrXKoLjy8vJUX0qlEllZWZBKpXBw0E4S8ycNVb8lrmfPnhg6dChycnI0jjl69Ch++OEHjeP379+Pc+fOaSzZLPb8+dervu3p06eqx4IgaA3lr1+/Pt566y1ERUWhRYsWePToEeLi4tCsWbOiuoiIiERi/mQ7mEMxhwL++1DP398fMplMtd/cORRv3yMiKkAQBDx48ABPnjyBIAiWDods0IULF1SfXunSrVs3JCYm4sqVK6r2Dx8+hJeXF7y9vVG/fn0cPnwYu3btwrRp04wW1/z58+Hs7IwFCxZgz549cHZ2RqdOnQq9hoKf3LVv3x45OTk4cuSIatuJEyfg7u6u9YlifHw87t69W2gs+p4/39ixY+Hn56fzy9/fH/fu3dNoHxoaii+//BLh4eFwdXVF8+bNERcXV2g8RERUMsyfyBiYQ5kvh/L390e5cuUsnkNJBL5jqKSlpcHDwwOpqalan7gag1KpRHx8PPz9/bUmW6PCsd/EY9+Jo1QqcePGDaSmpqJRo0Zc0tgApn7NZWVlITY2FlWqVCn0EzRbsWXLFuzatQvbtm0D8N+nVXZ2dhZbtSgyMhLHjh1DZGSk3sd07twZ7777Ljp27Gi6wIphjL4r6rVl6vygNDBlH/F3mXjsO/HYd4Zj/lQyzKH0xxzKOIzVb4W9tvTNDfhOQURUgFQqRc2aNREfH89ElEwmLCwMYWFhlg6jxA4ePGjpEIiIyAowfyJzYQ5VurAoRURERABeTB7q6elp6TCIiIiIbApzKPFYlCIiKkCpVCIuLg4pKSnw9fXlp3300ggJCTF4BRgiIiKA+RO93JhDiceiFBFRAXl5ediwYQMAoHbt2pwTgYiIiKgYzJ+ISAy+UxARFSCRSODr6wuFQmGxyRKJiIiIbAnzJyISg0UpIqIC7O3tMWHCBMTHx8Pe3t7S4ZAOXDiWjI2vKSKikmH+ZBv4+46MraSvKd7oS0RENiM/yc3MzLRwJFTa5OTkAABkMpmFIyEiIjK+/N9v+b/viIwlPy8XW4zmSCkiIrIZMpkMnp6eiI+PBwC4uLiUmlsEBEFAXl4e7OzsSs01mUtJ+06pVCIhIQEuLi6cA4WIiEolOzs7uLi4ICEhAfb29qVqInrmUOKUtN8EQUBmZibi4+Ph6ekp+oM9Zl5ERAXk5uZiy5YtyMnJwbBhw+Do6GjpkEhN2bJlAUBVmCotBEGAUqmEVCplQmUgY/SdVCpFxYoV2fdERCIxf7JuEokEAQEBiI2Nxd27dy0djlExhxLHWP3m6empys/FYFGKiKgAQRAQGxurekzWJT+p8vf3R25urqXDMRqlUomkpCT4+PiUqk8vzcEYfefg4MB+JyIqAeZP1s/BwQHVqlUrdbfwMYcSxxj9Zm9vX+KpD1iUIiIqwM7ODn369EFaWhpv5bFiMpmsVM3/o1QqYW9vDycnJyZUBmLfERFZHvMn2yCVSuHk5GTpMIyKeYA41tJvfLcgIiogKSMXdwVfPM6WIfnKEzQN8oWfG4egExERERVGKpXi1VdfRXx8PAsDRKQ3q3+38Pf3R2JiYrHtsrKyMGXKFPj7+8PLywtDhw5FcnKyGSIkotLixr9peGvzBTRZeBiTt0Zj4aG7mLw1Gk0WHsZbmy/gxr9plg6RiEhvzKGIiIjI2lltUSojIwNLly5FQkKCXu1HjhyJjIwM3Lp1Cw8fPkS5cuXw+uuvmzhKIiotjv+dgN7LTmLflX+hUGrOg6BQCth35V/0XnYSx//W7z2JiMhSmEMRkSUolUo8evQI8fHxUCqVlg6HiGyEVRalVq5cCT8/P8ycOVOv9mfOnEFUVBRWrlwJd3d3uLi4YNGiRUhJScHevXtNHC0R2bob/6Zh7PpzyMlTahWk8imUAnLylBi7/hxHTBGR1WIORUSWkpeXh7Vr12Lnzp3Iy8uzdDhEZCOsck6pCRMmYMKECQCg19KEO3fuRN++fbUm1Bs4cCB++eUXdO/e3SRxElHpsPzILeQpBRS3TowAIE8pYOnvf+Ozvq+aIzSbo1QqkfY8Fw4Z2ZxPwkDsO/HU+85T7gTpS7wcNHMoIrIUiUQCDw8PKBSKEi0vT0QvF6ssShnq+vXr6Ny5s9b2oKAg7N+/3wIREZGtSEjP1nnLXmEUSgEHrj7BP7FPYMd8i8jqbJvaAZ6uXJhAX8yhiMhY7O3tMXnyZMTHx8Pe3t7S4RCRjSgVRalnz57By8tLa7u3tzfS09MLPS47OxvZ2dmq79PSXtySo1QqTXIftFKphCAIvMfaQOw38dh3xTt9O1HvgpS6TAXgXireQYlKF1P8Di/N76G2kEPxd5l47Dvx2HfisN/EY9+Jx74Tx9T9pu95S8WfVHK5HCkpKVrbU1JS4ObmVuhxCxcuxNy5c7W2JyQkICsry5ghAnjxn5KamgpBEHhrhgHYb+Kx74r3OFHcClMi6lhEZAaJiYnIyTDuJ/RFFWdsnS3kUPxdJh77Tjz2nTjsN/HYd+Kx78Qxdb/pmz+ViqJU9erVcevWLa3tf//9N2rWrFnocbNmzcLUqVNV36elpSEwMBB+fn5wd3c3epxKpRISiQR+fn78YTEA+0089l3xAnwVAO4afJyUt+4RWSVfX1+j377n5ORk1PNZE1vIofi7TDz2nXjsO8Pl5eVhx44dyM7OxuDBg+Hg4GDpkGwKX3Pise/EMXW/6Zs/2WRRSqlUanRajx49MHz4cCxatAgymUy1/eeff9b5KV4+R0dHODpqJ65SqdRkL2aJRGLS85dW7Dfx2HdFaxrkC5lUYtAtfDKpBJvebAlvVyZbBSmVSiQmJsLX15evOQOx78RT7ztTTHRemv4/bDWH4u8y8dh34rHvDPf333+rHrPfDMfXnHjsO3FM2W/6ntPmilKnT59Gx44dERMTgypVqgAAWrdujdq1a+Ott97CF198AQD4+OOP4eHhwVVjiKhIfm6O6FanrN6TncukEnR/NQCv+Bd+W8vLTKlUIifDHp6ujkwKDMS+E0+j77jiU6GYQxGRKclkMnTv3h3p6ekaRW4ioqLYXNbr7OwMV1dXrRUdtm3bBqVSicqVK6N8+fJITEzEzz//zOVIiahYb7arCjupBMW9W0gA2EklmNg2yBxhEREZFXMoIjIlmUyG+vXro1atWixKEZHerH6klCBojlwICQnBkydPtNq5ublh1apVWLVqlblCI6JSomZZd3wf3hBj159DnlLQOWJKJpXATirB9+ENUbOs8eecIyIyNuZQREREZO1sbqQUEZEptK7uh18mNUdDfykEpUJjX/4te79Mao7W1f0sFCERERGR9RIEAfHx8Xj69KlWUZyIqDBWP1KKiMhcapRxw787F+LBuUtwqvgqpA4uUOZkYt3n72Ngr1BLh0dERERktXJzc/Hdd98BAGbMmMFb+IhILyxKERH9z7Fjx/DHH38AADJvRKm2f/npXAzo2YXzqxAREREVwcXFBUql0tJhEJENYVGKiAgvhpzPmTNH574zZ87g4MGD6NKli3mDIiIiIrIRDg4OmDZtGuLj4+Hg4GDpcIjIRnBOKSIiAOfPn1eNknJ3157IfMmSJeYOiYiIiIiIqFRjUYqICEBmZqbqcWjof/NH1a5dW2s/ERERERERlRxv3yMiAtCqVSvs3LkTMpkMP/74o2r7qlWrEBMTg+7du1swOiIiIiLrlpeXh19++QVZWVkYMGAAb+EjIr2wKEVE9D99+vQBAI2ilIeHByZOnGihiIiIiIhsg1KpxJUrV1SPiYj0waIUEVEB6qvsSaW8y5mIiIioODKZDJ06dUJ6ejpkMpmlwyEiG8GiFBFRAepFKSZVRERERMWTyWR47bXXEB8fz/yJiPTGIQBERERERERERGR2LEoRERVBEARLh0BERERk9QRBQEpKCtLT05k/EZHeWJQiIipAfXLOvLw8C0ZCREREZBtyc3Px7bffYvPmzcjNzbV0OERkIzinFBEREREREZWYvb09R0kRkUFYlCIiKkB9xT17e3sLRkJERERkGxwcHDBz5kzEx8fDwcHB0uEQkY3g7XtERERERERERGR2LEoREREREREREZHZsShFRFQAJzonIiIiMkxeXh5+/fVXHD9+nPkTEemNc0oRERWBk3USERERFU+pVOLixYuqx0RE+mBRioioAIlEonqsPuk5EREREekmk8nQpk0bZGRkQCaTWTocIrIRLEoRERWgXpRiUkVERERUPJlMhpYtWyI+Pp75ExHpjUMAiIiIiIiIiIjI7FiUIiIqAueUIiIiIiqeIAjIyMjA8+fPmT8Rkd5YlCIiKoCr7xEREREZJjc3F19++SXWr1+P3NxcS4dDRDaCRSkiIiIiIiIiIjI7TnRORFSA+op79vb2FoyEiIiIyDY4ODjgww8/RHx8PBwcHCwdDhHZCI6UIiIiIiIiIiIis2NRioiIiIiIiIiIzI5FKSKiAjjROREREZFh8vLycPDgQZw8eZL5ExHpjUUpIqIicEljIiIiouIplUr89ddfuHLlisYHfEREReFE50REBUgkEtVj9UnPiYiIiEg3mUyG5s2bIzMzEzKZzNLhEJGNYFGKiKgA9aIUkyoiIiKi4slkMrRr1w7x8fHMn4hIbxwCQEREREREREREZseiFBFRETinFBEREVHxBEFATk4OcnNzmT8Rkd5YlCIiKoCr7xEREREZJjc3F59//jn+7//+D7m5uZYOh4hsBItSRERERERERERkdpzonIioAPUV9+zs+DZJREREVBx7e3vMmDEDCQkJsLe3t3Q4RGQjOFKKiKgI6ivxEREREZFuEokEDg4OsLe3Z/5ERHpjUYqIiIiIiIiIiMyORSkiogLUV4xRKBQWjISIiIjINigUChw5cgR//fUX8yci0ptVFqXu37+P3r17w8PDA+XKlcPcuXM1VsMqTG5uLubNm4egoCC4u7ujVq1aWLZsmRkiJqLSRL0opc97DxGRNWD+RESWpFAocPLkSVy8eJFFKSLSm9UVpTIyMtChQwd069YNSUlJOH/+PKKiojB37txij505cyb++OMPHD16FKmpqVi3bh0WLVqE1atXmyFyIiqNOCcCEdkC5k9EZGlSqRSNGzdGnTp1NBaNISIqitW9WyxbtgyhoaEYN24c7OzsEBAQgE2bNuGrr75CUlJSkcf++OOPWLRoESpWrAiJRIImTZrgnXfewZEjR8wUPRGVBlx9j4hsDfMnIrI0Ozs7dO7cGc2bN2f+RER6s7qi1M6dOzF48GCNbf7+/mjSpAkOHjxY5LF+fn64cuWK6ntBEPDHH3/gtddeM0msRERERNaA+RMRERHZIqsrYV+/fh3Vq1fX2h4UFITr168XeezSpUvRt29fXLx4ES1btsS6detQrVo1vPXWWzrbZ2dnIzs7W/V9WloagBdzyJhiHhmlUglBEDhHjYHYb+Kx78QpOKcU+09/fM2Jx74Tz9R9Zwv/J+bMnwDz5lD82RCPfSce+04c9pt47Dvx2HfiWEv+ZHVFqWfPnsHLy0tru7e3N9LT04s8tkGDBhg/fjxWr16NBw8e4MKFC3B2dsb9+/dRuXJlrfYLFy7UOddCQkICsrKyRF9DYZRKJVJTUyEIAu+zNgD7TTz2nTiZmZmqx0+ePIGPj48Fo7EtfM2Jx74Tz9R9V1z+YQ3MmT8B5s2h+LMhHvtOPPad4XJzc/F///d/AICIiAg4OjpaOCLbwteceOw7cawlf7K6opRcLkdKSgoCAgI0tqekpMDb27vQ4x48eIA2bdpg7NixuHfvHhwcHJCTk4MlS5agefPmuHLlilayNmvWLEydOlX1fVpaGgIDA+Hn5wd3d3fjXhhe/KdLJBL4+fnxh8UA7Dfx2HfiODk5qR57e3vD39/fgtHYFr7mxGPfiWfqvlN/T7BW5syfAPPmUPzZEI99Jx77znA5OTmqx35+fjbx3mlN+JoTj30njrXkT1ZXlKpevTpu3bqFWrVqaWz/+++/ERERUehxy5YtQ6dOnfDee++ptjk4OGDWrFnYsWMHDh8+jP79+2sc4+joqLOCL5VKTfZilkgkJj1/acV+E499ZziZTKZ67ODgwL4zEF9z4rHvxDNl39nC/4c58yfA/DkUfzbEY9+Jx74zjKOjI6ZOnYrExEQ4Ojqy30Tga0489p041pA/Wd3/WI8ePbB9+3aNbYmJiThz5gy6dOmi2qbr/kRdF52Tk4MnT57Az8/P+MESUaknkUgsHQIRUbGYPxGRpUkkEri6usLZ2Zn5ExHpzeqKUpMnT8bx48exbt06KJVKPHz4EIMHD8a0adNU87qcPn0a7u7uiI2NVR03bNgwbNy4EStWrEB6ejqUSiWuXbuGvn37ok6dOmjVqpWlLomIiIjIpJg/ERERkS2yuqKUl5cXDh8+jO3bt8PT0xONGjVC27Zt8dFHH6naODs7w9XVFfb29qptwcHBOHbsGA4cOIAaNWrA29sbYWFh6NixI3755RdW64lIb+qr7ykUCgtGQkSkH+ZPRGRpCoUCJ06cwIULF5g/EZHerG5OKQCoVq0a9u/fX+j+kJAQPHnyROf23bt3mzI0InoJqBeluLQsEdkK5k9EZEkKhQLHjh0DALRr106jAE5EVBirLEoREVkLjhIgIiIiKp5UKkVoaCieP3/OyaaJSG8sShERFaCeSNnZ8W2SiIiIqDh2dnbo0aMH4uPjmT8Rkd5YwiYiIiIiIiIiIrNjCZuIiIiIiIiIrJYgCBBUj1VbIQgv5oDNUyiRq1BCohQKOYMpYjLT85jovEqlEtl5SmTlKuBgB9jJLDNmiUUpIqIC1Cc3z83NtWAkRERERLYhJycHixcvhiAImDZtGpycnCwdkk0QBAHZeUo8z85F0rMcZEmfIVchICtXgez/fWXl5KmKB7l5LwoweUolFAoBufn/KpRQKJXIUwj/26/5r0IpQBAEKAUBSiX+eyyoPVb+r8gDtcf/26d6rPzvGAFQVUyE/xWI1DYBOgtJ/113YUUmjXOQWYxsVwODmle1yHOzKEVEREREREQl9rJ/mJedq0ByRjZSMrKR/CwHyRnZSH6WjfSsXDzLykVGVi4ysvOQ8b/vn2XlITM7F2Yc3ENkdViUIiIqgBOdExERERnG3t4eb731FpKSkmBvb2/pcIxOoRSQlJ6FJymZ+Dfl+Yt/U1/8m5SejeSMbGRm51k6TCKbw7+2iIiKIJFILB0CERERkdWTSCTw9PRETk6OTedPCqUSj55m4m5COu4mPFP9+yDpGfI4pInI6FiUIiIiIiIiopeOUhDwICkDNx+m4OajFNx8mILY+HTkKpTFH2xC9jIpHO2lcLSXvfiyk8HJ4cW/DnZS2MmkkEmlsJdJIJNJYS+TQiaVaP4r+9/+/7WTSiWQSv77VyLBi+//91gikUCmvl3632PJ/9pJ/9dOKpVAAiC/9phfhFTf9uK7F9/nbypYrDS4vdo+qD2nICjxNOkpfHx9IJVIVY2MWRo1ZqHVqCXbEpxMUCqRmJQEXx8fuLk4Gi8mA7EoRURUgKA2E6NCobBgJERERES2QaFQ4K+//kJ6ejratm2rMR2CtVAKAmKfpONSXCKi45Jw5d5TZJjgljt7mRReckd4ujrAy9UR7i4OcHOyh6uTPeROdnB1tIf8f49dHO3h6mgHe5kEaSlPUaFcGdhz+giDKJVKOCgy4e/tapWvO2ulVCohyXkGf08Xi/YbX+1ERAWoF6XUV+IjIiIiIt0UCgV+++03AECrVq2sZl6ptMwcnPknHmf+iceluESkPS/ZZOyOdlKU8XRBWU9nlPF0QRlPZ/i5O8Nb7ggvV0d4yR3h6mhn8MgapVKJ3EwZZCyq0EuGRSkioiLY8pwIREREROYilUpRp04dZGVlWXy0yuPkTJy6+S9O33yCq/efilrdzsvVEZX85Kjk54aK//u3grcrPF0dmB8SGRGLUkREBXD1PSIiIiLD2NnZ4fXXX0d8fLxF8qe05zn449pjHL78ENceJBt0rK+bE2qU80CN8p6oUc4Tr5Rxh7uLg4kiJSJ1/GuLiIiIiIiIbI5CKeDsrXj8dukB/vonXu8JygO8XFCvsg9CKvugTkVv+Lk7mzhSIioMi1JERERERERkM9Kf5+Jg9H38ev4uHidnFtve0U6K+q/4oUl1f4RW8UUZTxczRElE+mBRioioAPXJzXNzSzYZJhEREdHLICcnB19//TWUSiXefvttODk5Gf057iWk4+czsTgS8xDZeUWPinJ3tkfTGmXQtHpZhL7iCyd7mdHjIaKSY1GKiIiIiIiISiwzs/hRS2Lc/jcVW6JuIer6vyhqznJ7mRRNqvuj/asV0LCqH+xlXMmOyNqJLkoplUpER0fjzJkzePz4MZ4/fw4fHx/UqFEDLVq0gJ+fnzHjJCIyG050TkSmxByKiEoje3t7jBs3Dk+fPoW9vb1Rznn9QTI2R93CX//EF9kuqIw7ujeoiFa1y8HN2TjPTUTmYfBfW7dv38by5cuxadMmJCQkQCaTwdPTE46OjkhJSUFmZiYkEglatmyJMWPGICwszOJLghIRicUlf4nIWJhDEVFpJpFI4O/vr3pcEnHx6Vh75EaRxSiZVIIWNcuid+PKqF3BizkbkY0yKNMZO3YsgoODcenSJcydOxfR0dHIyspCQkICHjx4gGfPniE+Ph6//vor6tWrh/feew+1a9fGqVOnTBU/ERERkdVjDkVEVLz41OdYvPsSxn/3R6EFKVdHO4S1qIoNk9vh/X71ERzozYIUkQ0zeKTU1atXERQUVOh+X19fdO3aFV27dsWXX36JzZs3Iy4uDs2aNStRoERE5iII/81WoFAoLBgJEZUmzKGIqDRTKBS4ePEi0tPT4ePjY9BIz4zsXGw5cQu7/opDrkL3BObuzvbo2+QV9GpYCa5OvEWPqLQwqCj1/fffG3RymUyGYcOGGXQMEZGlqRel1FfiIyISizkUEZV2CoUCe/fuBQA0bdpUr3mlBEHAkZiHWHP4Bp4+y9bZxtPVAQObBaFb/YpwduBcn0SlDX+qiYiKwOHgRERERMWTSqWoXr06cnJy9BoldedJGpYfuIor957q3O9kL0P/pq+gX5NX4OLIP1uJSitRP91JSUmws7ODh4eHseMhIrI4rr5HRKbCHIqISis7OzsMGjQI8fHxReZPz7JyseH439h99i6UaqPT88mkEnSrXxFDWlaDl9zRlCETkRUwaKLz2NhYNGzYEP7+/vD29kabNm0QGxur2p+amopt27YhPDwcZcqUMXqwRERERLaIORQRvezyb9UbteIYdv0Vp7Mg1biqH74f3wqTutZhQYroJWHQEIB33nkHN2/exKRJk+Dv748//vgD3bp1w65duzBjxgzs378fubm58PDwQKdOnUwVMxEREZFNYQ5FRC+zJymZ+Hb/FZy9laBzfxlPZ0zoFIwm1f05dQLRS8agotTJkyexZMkSjB07FgAwe/ZsvP/++2jevDlSU1MRERGBIUOGoEWLFrzlhYhslvrk5nl5eRaMhIhKC+ZQRFTa5ebmYvny5VAoFJg0aRIcHR2hUArYcy4O647cRFau9orG9jIpBjUPwsBmQXC0l1kgaiKyNIOynqSkJNSrV09j21tvvYXPPvsMS5cuxeTJk40aHBGRpQk6hpYTERmKORQRlXaCICA1NVX1OC4+HUt/vYzrD1N0tm9SzR/jOwcjwMvFjFESkbUx+KO4gisp+Pv7AwCaNGlinIiIiCxMfdi4TMZP7YjIOJhDEVFpZmdnh1GjRiE+MQnbTsdi+6lY5Cm1P9zzljtiUtc6aF6zrAWiJCJrY3BRavTo0QgNDUWtWrVQu3ZtVK1aFRKJBPb29qaIj4jI7NSLUvosaUxEpA/mUERUmkmlUqQqnfHtiUQ8SsnS2aZraCBGd6gFuRPf94joBYOKUrNnz8bly5dx/PhxrF+/HsCLP94EQcCoUaPQtGlThIaGIjQ0FK+++iocHBxMEjQRERGRLWEORUSl3daoW4g8ehO6Jj4o5+2CKd3rol5lH7PHRUTWzaCi1Lx581SP09LScPnyZdXXpUuXsH79eqxcuRIA4ODggKws3RVyIiJrpj6PlPqk50REYjGHIqLSzsvNEcrcdCggQSZc4WIngYNUggFNX8GQVtU4kTkR6SR6eRd3d3e0aNECLVq00Nh++/ZtREdHIyYmpsTBERFZgnpRSqHQXimGiKgkmEMRUWly4980LD9yC/uu/AuF0k21XZIDtK7ug2bB5ViQIqJCGX3N4aCgIAQFBaFfv37GPjURkdmpzy9FRGRKzKGIyNYc/zsBY9efQ55SgKLApOYCgBO3knB62Ul8H94Qrav7WSZIIrJqnMGXiKgA9cnN7eyMXrsnIiIisnk3/k3D2PXnkJOn1CpI5VMoBeTkKTF2/Tnc+DfNzBESkS1gUYqIiIiIiIgMsvzILeQpBZ0Tm6sTAOQpBaw4etscYRGRjWFRioiIiIiIiPSWkJ79vzmkiitJvaBQCtgb8xiJz7JNHBkR2RoWpYiIClBfcS8vL8+CkRARERFZnz/vJOldkMqnUAr4806SiSIiIltl0GQpO3bswMOHD0U90eTJk0UdR0RkSeor8RERicUciohKk4xscR/aPcvih31EpMmgotTx48dFLVMskUgMSqju37+PSZMm4dixY3B1dcW4cePw4Ycfakw+XJgLFy5g5syZOHv2LFxdXdGiRQt8+eWXKFeunMFxE9HLSX3FPZmMSxgTUcmZI4di/kRE5uLqKG4hGLkTF5AhIk0GvSt88803popDJSMjAx06dMDUqVOxY8cOJCQkIDw8HHPnzsXcuXOLPPbkyZMYMGAAlixZgn379iErKws//vgjnjx5wqSKiPSmXpTS5485IqLimDqHYv5ERObU5BUfyKQSg27hk0klaPKKjwmjIiJbZHWl6mXLliE0NBTjxo0DAAQEBGDTpk2oWrUqJk+eDB8f3W9kCoUC4eHhWLt2Lbp27QoAkMvlGDFihNliJyIiIrIE5k9EZE5+bo7oVqes3pOdy6QSdH81AL5yRzNER0S2xOqGAOzcuRODBw/W2Obv748mTZrg4MGDhR538OBByOVyVUJFRCSW+jxS6pOeExFZK+ZPRGRub7arCjupBJJi2kkA2EklmNg2yBxhEZGNsbqi1PXr11G9enWt7UFBQbh+/Xqhx506dQrNmzfHqVOn0KVLF/j7+6N27dr4+uuvOVExERlE/T1DoVBYMBIiIv0wfyIic6tZ1h3fhzeEg50UMqnu0pRMKoGDnRTfhzdEzbLuZo6QiGyB1d2+9+zZM3h5eWlt9/b2Rnp6eqHHxcfH4/Lly/jrr7+wePFiNGvWDFeuXMGgQYMKnSQ0Ozsb2dnZqu/T0tIAvBgZYYrREUqlEoIgcOSFgdhv4rHvxFH/Q4z9Zxi+5sRj34ln6r6zhf8Tc+ZPgHlzKP5siMe+E499p5+WVX2wc2IzrDx2G3suPQQk/415kEqAbnXKYkKbINQs68a+LAZfc+Kx78SxlvzJ6opScrkcKSkpCAgI0NiekpICb2/vQo9zcHBAdnY2oqKi4OrqCgCoX78+vvnmG7zzzjs6k6qFCxfqnPwzISEBWVlZJbwSbUqlEqmpqRAEgZMnG4D9Jh77TpycnBzV49TUVMTHx1swGtvC15x47DvxTN13RRV1rIU58yfAvDkUfzbEY9+Jx77Tn7cUeKNKNr4bHwH78rUhdXCBMicT7eoEYvbbXwJ4jvj455YO0+rxNSce+04ca8mfrK4oVb16ddy6dQu1atXS2P73338jIiKi0ONq1KiBv//+W5VQ5atduzbi4uJ0HjNr1ixMnTpV9X1aWhoCAwPh5+cHd3fjDy9VKpWQSCTw8/PjD4sB2G/ise/EcXJyUj328fGBv7+/BaOxLXzNice+E8/Ufaf+nmCtzJk/AebNofizIR77Tjz2nWFmzJiB3PSnyL0Rpdq296YESXNma70vkW58zYnHvhPHWvInkxSlkpKScPXqVbRq1crgY3v06IHt27ejZ8+eqm2JiYk4c+YMtm7dqtqmVCo1Oq5379547733cO3aNdSuXVu1/dy5czrnWAAAR0dHODpqrwAhlUpN9mKWSCQmPX9pxX4Tj31nOInkv3kR2HeG42tOPPadeKbsO3P+f4jNocyZPwHmz6H4syEe+0489p1+bt26hU2bNmltFwQBCxYswObNmy0QlW3ia0489p041pA/meR/7NixY2jbtq2oYydPnozjx49j3bp1UCqVePjwIQYPHoxp06apljM+ffo03N3dERsbqzquYsWKmDlzJnr16oXTp09DoVDg9OnTeOedd/DBBx8Y5bqI6OWgfv9zXl6eBSMhopeN2ByK+RMRWcrChQu1FoZxcHAAAGzduhU3b960RFhEZCOsrozo5eWFw4cPY/v27fD09ESjRo3Qtm1bfPTRR6o2zs7OcHV1hb29vcaxH3/8MaZOnYrw8HDI5XKMGTMGixcvxsCBA819GURUSnD1KSKyBcyfiMhSLl26BADw8PBQbatZsyaAF3nUlStXLBIXEdkGg27fq1u3rl7t8ldgEatatWrYv39/oftDQkLw5MkTnfsmTpyIiRMnluj5iejlpn77nkwms2AkRFRamCOHYv5ERJbw+eefY8WKFRg4cCAGDx4M4MV8dR07dsTz58/Ro0cPC0dIRNbMoKLU9evXERwcjNDQ0CLb3b17F/fv3y9RYEREllJwTikiopJiDkVEpVX79u3Rvn17jcURpFIpFi9ebLmgiMhmGFSUqlOnDqpVq4Z169YV2W7Hjh04fvx4iQIjIiIiKi2YQxERERFpM2gIwGuvvYYzZ87o1ZbzsBCRrVJ//1Kf9JyISCzmUERU2jFnIiIxDBopNX36dHTr1q3Ydt26ddNY2YWIyJao/0FYcDUZIiIxmEMRUWmnvmIxC1REpC+DRkoFBQWhV69exbZzdnZGpUqVRAdFRGQt1OeXKkxOTg5mz56NChUqwM3NDY0aNcKBAwfMEF3RMjIyIJFIkJKSYulQiF56zKGIqLTTJ2ciIiqIM/gSERWgPrm5nV3xA0qHDh2K69ev4+zZs0hLS8OCBQsQERGBQ4cOmTLMIiUlJWHmzJkWe34iIiJ6udjb26sec6EYItKXQbfvERGRpv379+P48eOIi4uDs7MzAKBTp074/PPPMWnSJNy4ccMoz5OdnQ1HR0e92rZs2RLnzp3j0HkiIiIiIrJqLGETEZXAli1bMHDgQFVBKt+AAQNw7949XLx40SjP8+DBA/z00096tT1x4gSeP3+OmzdvGuW5iYiIiIiITIFFKSKiAtRHGKlP2qlLTEwMgoODtba7uLggMDAQMTExRokpKCgIv/zyC9asWWOU8xEREREZU25uruoxR2sTkb5KfPvevXv3UK5cOdjZ2Wk8JiIqDYpbmj09PR0+Pj469/n4+CAtLU3nvilTpiA6OtqgWJ48eYKNGzeiVq1aaN68uUHHEpH1YQ5FRKVJcTkTEZEuJcp8FAoFqlSpgnPnzqFu3bqoUqUKzp49i/r16xsrPiIis1NfPUYmkxXZVi6X4+nTpzr3JScnw93dXee+pUuXGhxXREQEhg0bxoIUUSnAHIqIShv1ojonOicifZX44zhBEFRVcVbHiag0UC9KFZdU1a5dW+dk5hkZGbh79y5effVVo8QUFxeHZs2aYezYsUY5HxFZHnMoIipNWIgiIjH4zkFEVAL9+vXD1q1bkZ2drbF9x44dCAwMREhIiFGex9fXlwUpIiIiIiIqVViUIiIqQH3EQnETdfbt2xfBwcEIDw9HQkIClEol9u3bh/feew/Lly/XGHVVEnK53CjnISIiIjIFTm5ORGKwKEVEVIB6UUqhUBTZViKR4JdffkH58uUREhICd3d3zJkzBxs3bkSHDh1MHSoRERGRVVBfsZgFKiLSF5d4ISIqgj4jnVxdXfHll1/iyy+/NENE+qtcuTLnqSEiIiKzMNbocCJ6uXCkFBFRAeoTdXJ5diIiIqLi2dvbqx5z0nMi0hffLYiIiIiIiIiIyOxYlCIiIiIiIiIiIrMrUVFKJpNh3bp1qFKlisZjIiJbpj45p/qknURExsIciohKG/WciXNaEpG+SjxSavjw4fDy8tJ6TERUGhiSVCmVSixevBiZmZkmjIjUnTp1CgcPHrR0GESiMIciotJE/UM9FqWISF+8fY+IqAD11WMMmahz8eLFuH37NlxcXEwRlobdu3ejcuXKcHd3x88//2yUc0ZHRyMyMlKvtp07d8bSpUuN8rwlUbNmTUyePBmxsbGWDoWIiOilJpPJVI+5Eh8R6YtFKSKiAtQTKfUEqyg3b97EsmXL8Nlnn5kqLA0ffPABpk+fjrS0NPTu3dso5zSkKFW9enX4+voa5XlLwtvbGwsWLMCIESMsHQoREdFLjUUpIhKDRSkiIiOYMWMGxo4dCw8PD7M8X1paGoKDgwHoXzgzpm+//RZDhw41+/Pq0r9/fyQlJWHv3r2WDoWIiIiIiAxgcFEqISEBEydORMWKFWFvbw9PT080bNgQ77//PuLi4kwQIhGReanPg6A+P0Jh4uPjsWfPHgwYMEBje+XKlXHixAmMHDkSXl5e8PLywujRo5Genq5qk5mZialTp6J8+fJwdXVF06ZNcebMGQBAXFwcvLy8cOTIEdSpUwdOTk44cOAA5HI57t27h65du0Iul2PTpk0AgMTERIwaNQp+fn6Qy+Xo1KkTbt68qRHTtm3b0KBBA8jlcvj5+WHAgAG4evUqunbtivHjx+PEiROQy+UICgoq8pojIiIwZ84cAC8+DY2OjtZqI5FIEBcXhzlz5iAiIgJr165F9erV4ebmhubNm+Ps2bN4+PAhBg0aBB8fH5QvXx5z5841qP/yDR48GGvWrCkyZiJLYw5FRKWZPjkTEVFBBhWlUlNT0aRJE6xevRpVq1ZFREQEevfuDScnJ3z11VeoXr06PvroI05sR0Q2Tf09TKFQFNs+KioK3t7eqFGjhta+MWPGoHHjxnj06BEuX76MBw8eqG63UygU6NatG27cuIG//voLqampGDlyJDp27Ih///0XwIsRUePGjcOaNWuQlZWF9u3b49mzZ6hYsSL279+PZ8+eYciQIXj27BlatWoFpVKJmzdvIjExEc2aNUOHDh2QlZUFAFiyZAlmzJiBRYsWITk5Gf/88w9CQ0OxYcMG7N+/H6tWrULLli3x7Nkz3L592xhdqbJ3714sX74cu3fvRmJiIkJCQtC5c2d07doVTZs2xYMHD/Dbb79h5cqV+Omnn/TqP3UNGzbEsWPH+PuHrBZzKCIq7dRX32OBioj0ZWdI40WLFiEtLQ1nzpxB/fr1NfYlJydj8eLF+Oyzz5CWlmYVE+ASEZWUPnMixMXFISAgQOe+Tp06Yfz48QCAwMBAbN68GVWqVMGRI0eQmJiIK1euIC4uDnK5HMCLIsyePXuwYsUKjBw5EkqlEjNmzECTJk0AAPb29jqfZ8WKFZBIJFizZo3qdr45c+bg559/xubNm9G9e3fMnj0bR48eRdOmTQEAnp6eeP/995GdnW1Yp4iQlpaGH3/8UTUC67PPPsOKFSswcOBATJkyBQAQHByMIUOG4ODBg+jfvz+AovuvXbt2qvMHBAQgJSUFKSkpXMGMrBJzKCIq7TiPFBGJYVBRas+ePZgyZYpWMgUAXl5eWLBgAerUqYOhQ4di2LBhaNCggdECJSIyF/UV9+zsin+bzM7Ohru7u859nTp10vje29sboaGhOHv2LO7fv4+0tDRUqFBBo01eXh6cnZ1V3/fq1avYGP744w/cvn0bPj4+Gttzc3Nx48YNeHh4wNvbW1WQUufo6Fjs+UsqJCRE45ZANzc3AMDrr7+u0c7NzU1jlFZR/adelMrvr/xRYUTWhjkUEZV26h+cGbJ6MRG93Ax6t7hz5w5ee+21ItuEhYWha9eu+O6770oUGBGRrfD19UVqaqrOffkjoNQ9f/4cDg4OkEgkGDhwoGqET/7Xs2fPsG3bNlV7f3//YmOQSCR49913tc6VkZGBRYsWib84kRITEzW+L2wkWZkyZYo8T1H9py41NRUSiUSrKEdkLZhDEREREWkzqCiVmZlZ6GgAdQMGDMDJkydFB0VEZEvq16+PW7duacylUJi4uDhcunQJrVu3RsuWLXHixAmdo3sKFnWK07JlSxw6dEjnfDSJiYlo0aIFkpKSdL43l3R0kbe3t2oOrHxbtmwp0TkLo95/6q5fv446depoFauIrAVzKCIiIiJtBo+r1Ode4SpVquDhw4eiAiIisjT1yTn1KTSFhobC19cXUVFRWvvmzp2LS5cuQRAExMTEoF+/fggLC0P9+vXRv39/VK1aFYMHD8bt27chCALi4uIwdepUfPrppwbFPHHiRGRkZGDcuHF4+PAhBEHAtWvXMHz4cGzYsAFlypTBvHnzEBYWhoMHDyInJwfp6en4+uuvVSve5a/ql5WVheTkZL2fe8CAAfjwww9Vx/7444/45ptvNG5BFKuo/lN36NAhnROgE1kT5lBEVJqp50z6LNqQk5OD2bNno0KFCnBzc0OjRo1w4MABUc/dqFEj7Nq1S2v7ggUL4OnpqfXl4eEBJycn3L9/X9TzlcSZM2fQunVruLu7o0yZMpg4caLOlYUL8+jRI4wZMwblypWDp6cn6tati3nz5qn2KxQKbN++HT169ICfnx/c3NxQp04drFixgotpkFUyuCg1evRojB49Gl9//TWOHDmC+Ph4rTaOjo4G/WAREVkrfX55S6VSTJs2Dd98843WvqZNm2LcuHGQy+Xo3r07+vTpgzVr1qiO27t3L2rXro22bdtCLpejZ8+eCAwMxGeffWZQnHK5HH/88Qfs7OzQoEEDuLm5ISIiAm3atFFNJP7ee+9h0aJFeP/99+Hl5YXg4GCcP38eERERAIDOnTujSpUq8PHxQfv27fV+7iVLlqBx48Z47bXXUL58eezduxf79+83yq10RfVfvn///Rf79+/HxIkTS/x8RKbEHIqISjP1D/X0yZ+GDh2K69ev4+zZs0hLS8OCBQsQERGBQ4cO6f2cmZmZWL9+PS5cuKBz/+zZs7WmNkhJScFXX32F4OBgBAYG6v1cxnDu3Dn06tULb7/9NlJSUnD16lVkZmaid+/eevXZP//8g8aNG8Pf3x8xMTFISUnBtm3bNBatuXjxIhYtWoTRo0fj3r17SElJwYoVK/D5559j/vz5prw8InEEA3zwwQdCr169hMqVKwsSiUSQSCSCVCoV/P39hfbt2wtTpkwR1q5dK3z33XeCVCo15NRWITU1VQAgpKammuT8CoVCePz4saBQKExy/tKK/SYe+06c8PBwAYAAQIiJidHrmJycHKFevXpCVFSUalulSpWEo0ePmihKywoPDxfmzp2rtd2Yrzl9+2/EiBHC4sWLS/x8lsafV/FM3XfGyA+YQ4nHnw3x2Hfise8Md+vWLVX+NHDgwCLb7tu3T/D39xcyMzM1tkdGRgo1atTQ6/lmzpwpODs7C46OjgIAYefOnXodl5eXJ1SrVk3YsWOHXu31kZWVpVe7xo0bC0uWLNGKJygoSNi0aVOxr7mGDRsKCxYsKPI5MjIyhLy8PK3tGzduFIKDg/WK09bw51Uca8mfDFp9T31YYFpaGi5fvqz6unTpEtasWYOMjAwAXBKUiGyX+vuXTCbT6xh7e3ts2rQJ4eHhOHXqlFlWtLOEhIQEODs74/z58waNpjKVI0eO4N69e1i7dq2lQyEqEnMoIirt1HOm4t7HtmzZgoEDB2rd6j9gwABMmDABFy9eRGhoaJHnWLhwIRYuXAgAqFy5st5xbtu2DQ4ODlorAJdERkYG1q9fjzFjxhTa5s6dOzh37hx+/fVXje0ymQxDhw7F1q1bNVYWLujYsWOIjY1VjYAvjIuLi87tmZmZei2eQ2RuBhWl1Lm7u6NFixZo0aKFxvbbt28jOjoaMTExJQ6OiMiW5N8OV5r17dsXFy9eRKdOnTB48GBLh4N27doVmcARWSPmUET0souJicG4ceO0tru4uCAwMBAxMTHFFqXEEAQBn376Kd5//32jfgDg7e2NuLg4fPzxx6q5OguKiYmBn58f/Pz8tPbVqFED69evL/I5jh07htdeew1PnjzBp59+it9//x1ZWVkICQnBvHnz0KhRI53HJScnY9++fZg3bx42b95s+MURmZjoolRhgoKCEBQUhH79+hn71EREZieUYELIuLg44wViJU6cOGG25yqN/UdUFOZQRGTLDMmZ0tPTC5170sfHB2lpacYKS8POnTuRk5ODQYMGFdnus88+M3jS9dTUVERHR6NGjRp44403tPaX9JofPXqEx48fo3v37pg+fTq++OILyGQyrFq1Ci1btkRUVBQaNmwIAIiPj0f16tWhVCqRmZkJQRDw1ltvoVatWgZdE5E5GFSUWrlyJUaOHGnQbSkxMTFISEjgJ9lEZDMMXX2PiKg4zKGIqLTLzc1VPVbPpXSRy+V4+vSpzn3Jyclwd3c3amz5FixYgJkzZxY7PcPMmTMxc+ZMg8798ccfo0mTJoWOJC/pNTs6OiIhIQFnzpxBuXLlVNunT5+Os2fPYtmyZYiMjAQA+Pv7IyUlBcCL/4u4uDgsWrQIDRo0QHR0NDw9PQ26NiJTMmj1vcjISFSqVAnvvPMOTp06pfHGo+7Ro0dYu3YtOnTogGbNmhm0tDgRERFRacMciojoP7Vr18aNGze0tmdkZODu3bt49dVXjf6c+/btQ1JSEoYNG2b0c6elpcHFxQUrV66EVKr7T+zatWsjPj5eZ2Hq6tWrqFOnTpHPERwcDGdnZ42CVL66devi8ePHOo+TSqV45ZVXsGrVKmRnZ+P48eN6XBGR+RhUlDpz5gxWrlyJixcvomXLlnBzc0PdunXRvn17dOvWDc2aNUNAQAACAwMxc+ZMhISE4J9//uEwdCKyKerJhL29vQUjIaLSgjkUEZV2Dg4OqseFFWby9evXD1u3bkV2drbG9h07diAwMBAhISGqbcWNutLXggUL8N5775kkt5NKpZgxY0aRbapXr47atWtj48aNGtvz8vKwbds2DBw4ULVNEASt2yH79u2Lhw8fYseOHVrn/vPPP4staqWkpCA1NRVeXl7FXQ6RWRlUlAKA119/HceOHcPt27exbNkyNGvWDHK5HAqFApUqVcK4ceNw4MABPHr0CIsXL0bZsmVNETcRERGRTWEORUT0Qt++fREcHIzw8HAkJCRAqVRi3759eO+997B8+XLVJORnzpyBq6srTp06VaLnO3LkCGJjYzFq1ChjhK9FLpfr1W7p0qX45JNP8Ouvv0IQBDx58gQjRoxAhQoVEBYWpmrXu3dvdOvWTeNYf39/fPvttxg5ciR++OEHZGRkIDU1FR999BHOnTuHqVOnAgBu3ryJLl264OjRo8jJyYFCocD58+fRrVs3dOjQAS1btjTehRMZgaiJzuPj4yGRSDB69GiMHj3a2DHh/v37mDRpEo4dOwZXV1eMGzcOH374YbEVd3WbNm3C0KFDkZCQAF9fX6PHSERERGQoU+ZQzJ+IyFZIJBL88ssv+PDDDxESEoLU1FTVKKIOHTqo2slkMri4uMDJyalEzzd//ny8++67Bs3rZwrt27fH9u3b8eGHH+KNN96Ak5MTBg8ejJUrV2qsBujo6AhnZ2et40eOHIly5cph3rx5mDhxIhwdHdGxY0f8+eefKF++PIAXi2YMGDAA8+fPx8WLFyEIAqpUqYLRo0dj7NixRl11kMgYDCpK3bp1CwMGDMDly5cBvFj6cvbs2ZgyZYrRAsrIyECHDh0wdepU7NixAwkJCQgPD8fcuXMLXV6zoLi4OCxcuNBoMRHRy4UTnRORsZk6h2L+RESWpp4z6bMSn6urK7788kt8+eWXhbZp2LAhkpKSij1XcSv2HjlypNhzmEu7du10LmChnn/++OOPhR7fpUsXdOnSpdD9dnZ2GDVqlMlGhREZm0FFqbfffhuxsbF477334ObmhhMnTmDatGmQSqWYPHmyUQJatmwZQkNDMW7cOABAQEAANm3ahKpVq2Ly5MmFLqOZT6FQIDw8HN9++y1XqyGiEjNkeWMiosKYOodi/kRElqZeVGH+RET6MmhOqdOnT2Pp0qVYuHAh3n//fezfvx8ffPABPv30U6MFtHPnTq1lNP39/dGkSRMcPHiw2OMXLFiAJk2aoG3btkaLiYheLurDmg257YWIqDCmzqGYPxGRpclkMtVj3iJGRPoyaKRUSkoKateurbFt7NixmDdvHu7cuYNXXnmlxAFdv34d1atX19oeFBSE69evF3nsn3/+iV9//RVRUVF6PVd2drbGig9paWkAXlT5jbXKgzqlUglBEExy7tKM/SYe+67kJBIJ+88AfM2Jx74Tz9R9Z4zzmjqHMmf+BJg3h+LPhnjsO/HYd4ZTL0QxfzIcX3Pise/EsZb8yeCJzgtWvfNXhklNTTX0VDo9e/ZM5zKV3t7eSE9PL/S49PR0jBkzBtu3b9dYjrQoCxcu1DnPQkJCArKysvQPWk9KpRKpqakQBIGjLwzAfhOPfSeO+s9/UlIS4uPjLRiNbeFrTjz2nXim7rui8g9DmDKHMmf+BJg3h+LPhnjsO/HYd4ZTn/spKyuL+ZOB+JoTj30njrXkTwYXpUaPHo0GDRogODgYwcHBOj+VKwm5XI6UlBQEBARobE9JSYG3t3ehx7311lsYP348atWqpfdzzZo1S7V0JvDiU77AwED4+fnB3d3d8OCLoVQqIZFI4Ofnxx8WA7DfxGPfiaO+wou3tzf8/f0tGI1t4WtOPPadeKbuu5Ku+pTPlDmUOfMnwLw5FH82xGPfice+M1xGRobqsaOjo975k1KpxFdffYUJEybAxcXFVOFZPWO+5h49eoQ9e/ao5hks7fjzKo615E8GFaVmz56Ny5cv4+jRo4iMjATw36d+kyZNQpMmTVCvXj3Uq1cPtWvXhr29vWFRA6hevTpu3bqllRz9/fffiIiIKPS4bdu2YdeuXZg9e7bG9qCgIDg7O+Pff//VOsbR0VHnsqBSqdRkL2aJRGLS85dW7Dfx2HeGU5+cU6lUsu8MxNeceOw78UzZd8Y4p6lzKHPmT4D5cyj+bIjHvhOPfWcYhUKhemzIyIvFixcjNjYWcrncVKGp7Nq1C56enmjTpg2AF/PpnTt3Djt37iz22MjISERGRuLYsWOFtlmwYAHOnz+Pn3/+WVR8xnrNVahQAb/88gv8/f3Rr1+/Ep3LVvDnVRxryJ8MKkrNmzdP9TgtLQ2XL19WfV26dAnff/+9qkLu4OAgavh2jx49sH37dvTs2VO1LTExEWfOnMHWrVtV2wr+ofj8+XOtc0kkEty+fRu+vr4Gx0FERERkLKbOoZg/EZEtunnzJpYtW4aYmBizPN+uXbtQuXJlVVEqMDDQqLcZGvt8JbF69Wo0bdoUbdq0KXYFViJLMvj2vXzu7u5o0aIFWrRoobH99u3biI6OFv3GMnnyZNSrVw/r1q3D8OHD8fjxYwwfPhzTpk1T/TCdPn0aHTt2RExMDKpUqSL2EoiIdFL/g03MiE8ioqKYIodi/kRElqY+L52+IyRmzJiBsWPHwsPDw1RhFSk8PBzh4eFWe76SCAwMRJ8+ffDZZ5/hiy++sHQ4RIUy+hitoKAg9OvXD3PmzBF1vJeXFw4fPozt27fD09MTjRo1Qtu2bfHRRx+p2jg7O8PV1ZV/LBIREVGpUZIcivkTEdma+Ph47NmzBwMGDNDYXrlyZZw4cQIjR46El5cXvLy8MHr0aI1Jkzds2IAmTZrA29sbgYGBePfddzVGmFauXBm7d+9Gx44d4ebmhlmzZkEul2PTpk349NNPIZfLERERgTlz5qhucb537x7GjBmDKlWqwNPTE02bNsXp06cNuqbIyEjVKKw2bdpg6dKlWm3atGmjug2wcuXKOHXqFJo1awZ3d3c0b94cGzduRE5ODmbOnIny5cvDx8cHQ4YMUS2KERERga+++gqff/45KlSoAFdXV3Tq1Ak3b97Ueq6wsDCsW7eOq9KRVbPKGy6rVauG/fv3Iy0tDY8ePcLs2bM1VqwJCQnBkydPUKFChSLPIwgCh54TERHRS4H5ExHZkqioKHh7e6NGjRpa+8aMGYPGjRvj0aNHuHz5Mh48eIDevXur9v/+++/4/vvvkZSUhGPHjuH333/HJ598onGOkSNHIiwsDKmpqZg7dy6ePXuGIUOG4P3338ezZ89U8/vlO3bsGBo1aoSYmBjEx8fjjTfeQNeuXZGYmGiS6wdeFObCwsLw8ccf4+nTp5gyZQpGjBiBdu3a4eHDh7h06RL+/vtvPHz4UGPuv2XLluHOnTu4dOkSHj9+jAYNGqB169Zatw7Wr18fycnJuHTpksmugaikrLIoRURkSeqfJuXl5VkwEiIiIiLboJ4zqS8aU5i4uDitFUPzderUCePHj4ezszMCAwOxefNmnD9/HkeOHAEArF+/HnXr1oVEIkFQUBBmzZqFffv2aZyjS5cuGDlyJKRSqcathYUJDw/H2LFjIZfL4eDggLfeegtly5ZFVFRUsceK9fz5cyxYsACdO3eGnZ0dBgwYgJCQEKSkpCAyMhK+vr7w8fHBtGnTcPDgQdVxbm5uWLVqFXx8fODu7o6FCxeiWrVqWLZsmcb5nZ2d4eHhgbi4OJNdA1FJiZ5TiojoZaBPUkVERET0slP/UE+f/Ck7Oxvu7u4693Xq1Enje29vb4SGhuLs2bNo164dkpOT8eOPP+LUqVO4ceMG7t+/r3Vrcq9evQy+hpMnT2Lv3r2Ijo5GbGws7t69i5SUFIPPoy+JRILXX39dY5ubmxs6deoEmUymsS0hIUH1fYcOHTRGwgJA+/btcebMGa3ncHZ2FrUAGZG5cKQUEVEB6r/kuawsERERUfHUiygFCya6+Pr6quZJKkgul2tte/78ORwcHHDp0iXUrFkT//zzD0aPHo19+/ZhzZo1Wu39/f0NiB4YNWoUJk2ahNq1a+Prr7/G5cuXUbduXYPOoQ/12wHd3d3h6uqq1aZMmTJFnqOo/ikoNTUVfn5+IiIlMg+OlCIiKkA9kVJPsIiIiIhIN0OLUvXr18etW7eQl5cHO7ui/yyNi4vDpUuXsHLlSqxZswadO3fWWFHu2LFjouMGgKSkJPzf//0fbt++jVdeeQXAi+LR1atXRZ/Tx8cH//77r8a26OhoXL9+vUSx6qJQKPDrr79i1KhRGtvv37+PzMxMhIaGGv05iYyFQwCIiIiIiIjIrEJDQ+Hr66tzzqa5c+fi0qVLEAQBMTEx6NevH8LCwlC/fn0EBwfj1KlTiIuLQ3Z2NtatW4edO3fi+fPnyMnJKfI55XI5/vnnHwBAcnKyaruXlxcCAgKwbds2KBQK3LlzB2FhYfDw8EBaWpqo6RwGDBiA1atX49SpU1AoFDh58iQGDhyI8uXLG3yugiIjI7Fv3z4oFAr8+++/iIiIgEQiwbhx4zTaHTp0CM2bN4ePj0+Jn5PIVFiUIiIqAueUIiIiIiqeoTmTVCrFtGnT8M0332jta9q0KcaNGwe5XI7u3bujT58+qlv0xo0bh0GDBqFp06YICAjAoUOHsGfPHjg6OupcyU/dmDFjcOHCBbi6umLOnDkasfz666/Yu3cvvLy80L17d4wfPx7jx4/HzJkzsXbtWoOuDQAGDx6MOXPmYNiwYfD09MS7776LZcuWoXXr1gafq6DmzZtj9erV8PHxQe3atWFnZ4fjx49r3Qq4fPlyvPfeeyV+PiJT4u17REQFcPU9IiIiIsPk5uaqHqvnUkV58803ERkZiZMnT6J58+aq7Z06dcKnn36q8xiJRIIFCxZgwYIFGtvv3bunelzYanP16tUr9Pa5+vXra43a6tevHz788EPV9xEREUVdDgRB0JiP9K233sJbb72l0UZ9Enddk6gfOXJEa07TNm3aaLStVq2aRlFNl/Xr1yMgIAA9e/Yssh2RpXGkFBEREREREZmdvb09Nm3ahMmTJyM7O9vS4YiWkJAApVKJP/74A5UrV7Z0OEhMTMRnn30maoQXkbmxKEVEVID6p1PFTbxJRERERC8KTPkMWb04ODgY58+fh6OjoynCMouvvvoKbm5uuHz5MmbPnm3pcODr64tr164ZvAIhkSXwry0ioiLos3oMERER0cvOWDlTYbfeWbNPP/200NsNjS0yMtIsz0NkLhwpRUREREREREREZseiFBFRAeqrxygUCgtGQkRERGQb1HMmrl5MRPpiUYqIqAD1RErf1WOIiIiIXmYsShGRGCxKEREVoD4ngiETdRIRERG9rGQymeox5+QkIn3xry0iogLUEyn1BIuIiIiIdGNRiojEYFGKiIiIiIiIiIjMjkUpIqIicE4EIiIiouIxZyIiMViUIiIqQH1y87y8PAtGQkRERGQbcnNzVY+5UAwR6YtFKSIiIiIiIiIiMjsWpYiIClBfcc/Ozs6CkRARERHZBnt7e9Vjrl5MRPriuwURURG4egwRERFR8ZgzEZEYLEoREREREREREZHZsShFRFSA+uoxCoXCgpEQERER2Qb1nIkr8RGRvliUIiIqQD2R4uoxRERERMVjUYqIxGBRioioCJwfgYiIiKh46pObM38iIn2xKEVEVABX3yMiIiIyjHrOxKIUEemLRSkiIiIiIiIiIjI7FqWIiIiIiIiIiMjsWJQiIipAfXLz3NxcC0ZCREREZBtycnJUj7lQDBHpi0UpIiIiIiIiIiIyOxaliIgK4ETnRERERIaxt7dXPVbPpYiIisJ3CyKiInD1GCIiIqLiMWciIjFYlCIiIiIiIiIiIrNjUYqIqABBEFSPFQqFBSMhIiIisg3qOZN6LkVEVBQWpYiIClBPpLh6DBEREVHxWJQiIjFYlCIiKgLnRyAiIiIqnvrk5syfiEhfLEoRERXA1feIiIiIDKOeM7EoRUT6YlGKiIiIiIiIiIjMjkUpIiIiIiIiEuXhw4f4/vvv8fTpU43tv/32G3755RcLRUVEtsIqi1L3799H79694eHhgXLlymHu3Ll6TTZ89uxZDB06FFWqVIGnpyeaNGmCAwcOmCFiIipN1N9vcnNzLRgJEZH+mD8RkSWEh4dj3LhxGDJkiGrbgwcP0LlzZ/Tp0weHDx+2YHREZO2sriiVkZGBDh06oFu3bkhKSsL58+cRFRWFuXPnFnvs/Pnz0blzZ1y8eBFJSUn46KOPEBYWhrNnz5ohciIiIiLLYP5ERJbi6OgIALhx44Zq25UrV7T2ExHpYnVFqWXLliE0NBTjxo2DnZ0dAgICsGnTJnz11VdISkoq8tiff/4Zw4YNg6enJ2QyGbp164YhQ4Zgz549ZoqeiEoDTnRORLaG+RMRWcq0adO0tqWmpgIAGjVqhObNm5s7JCKyIVZXlNq5cycGDx6ssc3f3x9NmjTBwYMHizxWJpNpbXvy5Anc3d2NGiMRvTy4egwR2QLmT0RkKe3atUOLFi107pszZw5zKSIqktUVpa5fv47q1atrbQ8KCsL169cNOtfmzZsRFRWFiIgII0VHREREZH2YPxGRpUgkEsyZMwc+jvZo4u+BNgHeqOMlx2uNGqFr166WDo+IrJzV3Zfy7NkzeHl5aW339vZGenq6XudQKpWYM2cONmzYgAMHDsDX11dnu+zsbGRnZ6u+T0tLUx2vz8SghlIqlRAEwSTnLs3Yb+Kx78RR76+8vDz2nwH4mhOPfSeeqfvOFv5PzJk/AebNofizIR77Tjz2nQFuxqDdzVP4d0hb2KmNisp0doOwbyuEll0BOUdeFoevOfHYd+JYS/5kdUUpuVyOlJQUBAQEaGxPSUmBt7d3scf/+++/GDJkCDw9PXHhwgWdCVq+hQsX6pwANCEhAVlZWYYHXwylUonU1FQIgqAxZw0Vjf0mHvtOnOfPn6seJyQkID4+3oLR2Ba+5sRj34ln6r7Tt6hjSebMnwDz5lD82RCPfSce+04PSiXc9m6E65kjAKBRkAIAl+fpwM4foPjtZ6QMewe5FV6xRJQ2g6858dh34lhL/mR1Ranq1avj1q1bqFWrlsb2v//+u9hh5LGxsWjTpg1mzZqF8ePHF/tcs2bNwtSpU1Xfp6WlITAwEH5+fiaZR0GpVEIikcDPz48/LAZgv4nHvhPH2dlZ9djX1xf+/v4WjMa28DUnHvtOPFP3nZOTk9HPaWzmzJ8A8+ZQ/NkQj30nHvuuGIIAyeblkPyvIAUAgpsnfrr9CPeTnmJoq6bwS3wAiSBAlpEO78gvILy3GKhQxYJBWze+5sRj34ljLfmT1RWlevToge3bt6Nnz56qbYmJiThz5gy2bt2q2qZUKrU6Ljw8HJ988gmGDx+u13M5OjrqXKJUKpWa7MUskUhMev7Siv0mHvvOcOp9ZW9vz74zEF9z4rHvxDNl39nC/4c58yfA/DkUfzbEY9+Jx74rQsxZ4Pi+F49lMmDweEhadkE/qQzx8fHw9feHJPFfIPIr4O8YSLKeQ7LuS+CjZQAnPi8UX3Pise/EsYb8yer+xyZPnozjx49j3bp1UCqVePjwIQYPHoxp06bBx8cHAHD69Gm4u7sjNjZWddyNGzeQnp5uUEJFREREVBowfyIiszqy+7/HQyYBbXsCdvaabfzLAW/PA8pVfPH9/dvArWvmi5GIbILVFaW8vLxw+PBhbN++HZ6enmjUqBHatm2Ljz76SNXG2dkZrq6usLf/743v1q1buHr1KuRyudZXs2bNLHEpRERERGbB/ImIzOZpAnDl3IvH3v5Ai06Ft3V0AroO/O/7P/abNjYisjlWd/seAFSrVg379xf+hhUSEoInT55obOvRowdyc3NNHRoRvQQKrr5HRGQLmD8RkVk8jAME4cXjRq0AqQwAkJubi2+//RYKhQKTJ0/+7xbfhq2A//sSEJTAg1jd5ySil5ZVFqWIiKyFkJ90ERERERGQk/3fY/l/CxsIgqBabUsjf7J3AJycgOeZQI7xVzgnItvGohQRUQEStQk4ZTKZBSMhIiIisjKubv89fnRX9dDOzg5jxozB06dPYWen9mdmcuKLglTBY4mIYIVzShERWZp6UYoreBARERGpqVIDcHZ58fh8FJDxYnSUVCpF2bJl4evrq5k/qc8jVbu+GQMlIlvAv7aIiIiIiIhIP45OQLOOLx7nZAOblgFKhe62924Dv+148VgqBVp1NU+MRGQzePseEVEB6vMgKBSFJFlEREREL6v2vYETB14Upf46DqQmQ9GpHy6fO4dMFzl8OneH9M/DwL5tQPb/5pFq0h7w9rNs3ERkdViUIiIqQL0opb4SHxERERHh/9u78/io6rPv49/JZANCFrIA0Siyb7JYoUHBAOVGC1pEuBGrrLVuCFTRu4qPIC3Wyt3FKsqDqGDRCiigUFCqCHijFH14BESWiLJJwAmErJBkZs65/xiIySQkk0MyZwKf9+uVV2Z+Z5krF5nhyjW/+R0pJVW65zFp3mzJ65X27ZRz3051DHOqxBGu8A1LpfI1VJtO0p2T7IsXQMji43sAUI3y60sBAADgrB59pEkzpKhGZUONDK/ivSVylG9I/XSA9PAzvo/9AYAfZkoBgJ/yi3NWuHoMAAAAfPbukJbMl0rOVNpkSnL0vVH6+e1S89TgxwagweCvLQAAAABAYArzpbdfkT79V5Wb3S3S5PzVo3Jc1T7IgQFoiGhKAQAAAACqZ5rS1g2+2VGFeZW3h0fIGHqHTl5zg1JaMjsKQGBYUwoA/JRf3Nzj8dgYCQAAQAjIPiY994T0ypyqG1KtO8o9/Tm9ePCk3lr2ttxud/BjBNAgMVMKAKpR/kp8AAAAlxR3qfSvFdKat6TSksrboxtLIyZIGUNkerzKycmRRP0EIHA0pQDAT/kr7jmdThsjAQAAsMmOrdKS/+ubJVWVntdJv3xASkiSJIWHOzR+/HidOnWKC8UACBivFgDgp3xTqvyV+AAAAC56Pxz1NaO++qLq7fGJvmbUNddXGA4LC1NaWpqioqKonwAEjKYUAAAAAFzqCvKkNUukjf+UPFWsCeVwSP1vlm4bLzVqEvTwAFycaEoBgJ/y6yCUX/QcAADgolNSLH30rvTBMunM6ar3adPJNzvqynbnPY1hGNq9e7fy8vKUlJTEbCkAAaEpBQB+yjelvF6vjZEAAADUE3ep9NmH0qo3pbycqveJTZBG/kpKHyjV0GTyeDxavny5JOknP/kJ60oBCAivFABQjfLrSwEAADR4JcXS/3wgrXtHOnWi6n2c4dLPhkm3/DLgj+o5HA5deeWVKi0tpX4CEDCaUgDgp/x0c97lAwAAF4UzRdKmtdK65VJB7vn3++kA6dZxUnKLWp0+IiJCY8eOlcvlUkRExIXFCuCSwV9bAAAAAHCxOnZE+niV9NlHUsmZ8+/X5RppxETpirbBiw3AJY+mFAAAAABcTLxe6avPpY9XS7v/f/X7tr/a9zG9Tj2DExsAlENTCgD8lL/insfjsTESAACAAJmmdGi/9O/10taN1X9ET5K6XisNHS2161onD+92u/Xqq6/K4/Ho17/+taKiourkvAAubjSlAKAa5a/EBwAAEFJMU8o6JH35ma8Rdexw9fs7wqSefaQht0ut2tdxKKZ++OGHstsAEAiaUgDgp/wVY5xOp42RAAAA+PF6pW93+xpR2/8tZR+r+ZiYWOmGn0sZQ6XElHoJKzw8XHfeeadyc3O5UAyAgPFqAQB+yjelyl+JDwAAIOgMQ/r+gLR3u7R3h5S5Syo+HdixrTtKGUOk3v2liMj6jFJhYWFq3bq1XC4X9ROAgNGUAgAAAIBQUZArHciUDuw7+32vVFQQ+PFJzaX0n0npA6UWl9dbmABQF2hKAYCf8usglF/0HAAAoM6Ulkg/HJWOHjz7dUg6ekA66ar9uZolS93TpV4ZUtvOkg0zlQzD0DfffKPc3FwlJSUxWwpAQGhKAYCf8k0pr9drYyQAAKDBcpdK+aek3JPSiR98az+5jvm+Zx/zjV+ItDZSj3TfwuVpbaRyyw/YwePxaMmSJZKk7t27s64UgIDwSgEA1XDYXOABAIAQYJq+mU1FBRW/CvPP3s6XCgukvBxfsyk3RyrMq9sYUlKljt2ljj2kDt2kuIS6Pf8FcjgcatmypTweD/UTgIDRlAIAP+Wnm/MuHwAA9cg0JdPwLeZtmr7vhrfcbcNvu/f8+3o8ktctedy+22XfS89+9xvzeiS329dsKjkjlRRLxWek0mI5is8o6XSRHO5S33hpse9xgiUySrqynXRVB6l1B6l1J99H9EJYRESE7r77brlcLkVERNgdDoAGgr+2AAAAEJp+96AcJWeU5PXK4XRW3u7fJKipaVBpew3HVzrdBT5ejY9fw/E17e834DClFMMrR/m1fS44R7Xdv4rH8280hSCHgviHUrMU6fJWUmor3/fLWkmpV0pV/c4DwEWGphQAAABCkytLjuLTFKwWOc5+wWbhEVJCkpTc0veV0vLH28ktpOjGdkcIALbh/3gAkG9B86eeekpOp1Mej6ds/Ouvv9Z///d/a8KECerXr5+NEQIAgJDgcEiNY6QmTaWYWN/3c19xCVJcohSfKMU3891uEmP7IuTB4Ha79fe//11ut1sTJkxQVFSU3SEBaABoSgGApA8++ECzZ8+WJF1zzTVl4w888ICys7O1bds27dixw67wAADA+TgcUliY5Az3zUoKj5DCw333IyIk59n7ZeMRZ8fDffcjo6SoRlJ0IykqWopqJCMySnklpYpLbq6wRo3PjkdLjZtKjRtLYXy0zp9pmvr+++/LbgNAIGhKAYCkdu3ayeFwyDRN7d69u2w8OztbktShQwe7QgOAS9fdj8rweJSXl6e4uDiFORyVZ5xUmoHiv93/pDUcX+v9a5gBU9v4atw/8MczDFOnck8pISGhwkU8gp4j/+1hYb6vc82kMGe522GSI+w8tx2+fcsf6wirn1lIhqESl0tKSfE9DmoUHh6u//zP/1ReXh4XigEQMF4tAEBS+/btNWrUKC1dulTFxcWVtk+fPt2GqADgEtejD82BC2EYcpM7BElYWJg6duwol8vl1wQFgPPj1QIAznryySflqOLd1uHDh6tHjx7BDwgAAAAALmLMlAKAs7p06aL7bx+p0i+3KDk6QiVeQ3vzijTj/zxhd2gAAAAhzTAMHTx4ULm5uUpKSmK2FICA0JQCAEn6bp/0/lLNjSmQo2+Xitve+quUNVT6j+G+RU4BAABQgcfj0eLFiyVJnTt3Zl0pAAHhlQIAtqyXFv1F8norr90qSadOSO++Lm3fIk39vdQ0LtgRAgAAhDSHw6GkpCR5vd4ql0MAgKqE5JzKI0eOaNiwYYqLi1NqaqpmzZolwzBqPK64uFi/+c1vlJKSooSEBN111106depUECIG0GDt3Cq99mfJ6/Xdj09U3g0368njbi1pfLnM7uk/XtXnYKb0wkzJXWpfvABwHtRPAOwUERGh+++/X6NGjVJERITd4QBoIEKuKVVUVKRBgwZpyJAhOnnypLZt26bNmzdr1qxZNR47ceJEFRUVaf/+/Tp69KhSU1M1fPjwIEQNoEEyvNKbL0rm2T/aMoZIf1ykuLEPataqD9V/+myZk2ZIT74gxTXz7fPdXmnzv+yLGQCqQP0EAAAaopD7+N7cuXPVs2dP3XvvvZKkli1b6s0331Tbtm01ZcoUJSYmVnnc1q1btXnzZn333Xdln1+eM2eOevTooTVr1mjo0KFB+xkqMQypKF8yTDmK8qWCKCmMKa0BI2/Wkbvq7domnXT5brftLP3iLulMke/+udwZSdIVbaX7npCenebbtvGfUv+hP86gAgCbXZT1EwAAuOiFXFNq5cqVeuyxxyqMpaSkKD09XevWrdMvf/nL8x532223VVpQb9SoUXrvvffsLaqK8qWHRitMUnP7omiwyJt15K4W9u+WpvleX9yOMC1J6iBJGvXIdEUlJkvtukhtOknf7pGOHpQO75eubGdjwADwo4uyfgLQoLjdbr311lsqLS3VmDFjFBUVZXdIABqAkGtK7dmzR+3bt6803qZNG+3Zs6fa42688cYqj3v//ferPKakpEQlJSVl9/Pz8yX5LmcayBoMATPM0PucJIDzMiV9Fx0vSfJ6vT++HlzdW2Hf+l6HDNcxKa2NPQGGMMMwZJpm3b6GXiLInXX1nbuG8G8SzPpJCmINJZ4bF4LcWUfuas/r9erAgQNlt8ld7fA7Zx25syZU6qeQa0oVFhYqISGh0nizZs1UUFBQp8c988wzVa61kJ2dreLi4lpEXT1HUT6zVYAGJNw0NPzkN5Kk3FM5Cjv7etq4uFixZ/fJzz2lYpfLngBDmGEYysvLk2maCgujHV8b5M66+s5ddfVHqAhm/SQFr4aSeG5cCHJnHbmrPcMwNGDAAJ0+fVo5OTmVZmCievzOWUfurAmV+inkXiliYmKUm5urli1bVhjPzc1Vs2bNajzOX25urpo2bVrlMY8//rgefvjhsvv5+flKS0tTcnKyYmNjqzzGkgKmrgINSZikbqdPSJI8Kc0VFuf7g81x7FDZPrGXt1JsSood4YU0wzDkcDiUnJxMUVBL5M66+s5ddHR0nZ+zrgWzfpKCWEOJ58aFIHfWkTtrUlJSlJ2dTd4s4HfOOnJnTajUTyHXlGrfvr3279+vTp06VRjPzMzU+PHjazzOX2Zmpjp27FjlMVFRUVV+1jksLKxu/1Gaxkl/XSLDMJV9IlvJSckKY9HpgJE368hdDf79sbT0Zd/ta/tJd04q21SWu6ZxvteDE8elnZ/7NsY1U1i7LhL/6VXJ4XDU/evoJYLcWVefuWsI/x7BrJ+kINZQZ/HcsI7cWUfurCFv1pE768idNaFQP4VcU+rmm2/WsmXLdMstt5SNnThxQlu3btWSJUvKxgzDqPBD3nzzzRo3bpzmzJkjp9NZNr5ixYqALodcr8LCpKbxkmHIPFPia1LxZAkcebOO3FXvhiHSqjd9V9z7f/8jde0l9R0swzCUlZWlnKJiJUoKKyqQ5j8jmWc/x3fDzyWmpAMIIRdl/QSgQSmrn3JylJSURHMAQEBC7pViypQp2rRpkxYuXCjDMHT06FGNHj1a06ZNK7uc8ZYtWxQbG1u2kJ4kZWRkqHPnzpo8ebKKiopUVFSkRx55RHFxcVw5BkDVoqKlW8pdkWrRX6TnZ8j75RYtfXmePln2D5lr3pJm3Csd2OfbJz5RGnhL1ecDAJtQPwGwm8fj0auvvqqVK1fK4/HYHQ6ABiLkmlIJCQlav369li1bpvj4ePXq1UsDBgzQjBkzyvZp1KiRmjRpooiIiArHLl26VIZhqFWrVrrssst04sQJrVixQg4HH1sCcB7/cZv0s2E/3t/5uSLm/V7TsrbpwePbFbH6TSkvx7etaZw09fe+mY8AEEKonwDYzeFwKC4uTjExMbx+AAiYwzRN0+4gQkV+fr7i4uKUl5dX54t0Sr4prS6XSykpKUxnrQXyZh25C5BpSpvWSmvekk6dqLzd4ZC69ZZG3yclt6y8HWX4nbOO3FlX37mr7/rgYlCfOeK5YR25s47cWUPerCN31pE7a0KlfmJRFABwOKT+Q6V+N0k7t0o7/i2zIF/FXq+ir2wrR98bpeQWdkcJAAAAABcVmlIAcI7TKfW8Tup5nUzDUJ7LpaiUFDnO885BVlaWNm/erEOHDqmkpETx8fG6+uqrlZGREeTAAQAAGgbqJwDl0ZQCAD8ej0dvv/22SktLdccddygyMrLSPnv27NHy5cuVkJCg6667TpGRkcrKytKRI0dsiBgAAMBe1E8ArKApBQB+DMNQZmZm2W1/J0+e1MqVK9WuXTuNGDFC4eE/vpRytRkAAHApon4CYAVNKQDw43Q6NXToUBUUFMjpdFbavmHDBoWHh+vWW2+tUFBJqnQfAADgUkD9BMAKnv0A4MfpdOqaa66Ry+WqVFR5PB5lZmaqZ8+eioqKsilCAACA0EL9BMAKrpcIALVw6tQpud1upaam2h0KAABAg0D9BOB8aEoBgB/TNOVyuZSTkyPTNCtsY80DAACAyqifAFhBUwoA/Ljdbs2fP19vv/223G53hW3NmjWTJB04cKDScV6vNyjxAQAAhBrqJwBWsKYUAFShcePGVV45JioqSj169ND27dvl8XjUqlUrlZSU6ODBg2rXrp169+5tQ7QAAAD2o34CUFs0pQDAT2RkpKZNmyaXy6XIyMhK24cMGaKmTZvq66+/1t69e9WoUSOlpaWpbdu2NkQLAABgP+onAFbQlAKAWoqIiNDAgQM1cOBAu0MBAABoEKifAFSFNaUAAAAAAAAQdDSlAMCPx+PRypUrtX79eq4WAwAAEADqJwBW8PE9APBjGIZ27dpVdhsAAADVo34CYAVNKQDw43Q6NXjwYBUUFMjpdNodDgAAQMijfgJgBU0pAPDjdDr105/+VC6Xi6IKAAAgANRPAKxgTSkAAAAAAAAEHU0pAPBjmqZyc3NVUFAg0zTtDgcAACDkUT8BsIKmFAD4cbvdeuGFF/SPf/xDbrfb7nAAAABCHvUTACtYUwoAqhAREcG7fAAAALVA/QSgtmhKAYCfyMhIPfbYY3K5XIqMjLQ7HAAAgJBH/QTACj6+BwAAAAAAgKCjKQUAAAAAAICgoykFAH48Ho/++c9/atOmTfJ4PHaHAwAAEPKonwBYwZpSAODHMAx9+eWXZbcBAABQPeonAFbQlAIAP06nU/3791dRUZGcTqfd4QAAAIQ86icAVtCUAgA/TqdT/fr1k8vloqgCAAAIAPUTACtYUwoAAAAAAABBR1MKAPyYpqmioiKdOXNGpmnaHQ4AAEDIo34CYAVNKQDw43a79Ze//EV///vf5Xa77Q4HAAAg5FE/AbCCNaXKOdfRz8/Pr5fzG4ahgoICRUdHKyyMfmCgyJt15M6a0tJSFRcXS/K9HpSWltocUcPB75x15M66+s7dubqAd/7Prz5rKJ4b1pE768hd7VE/XRh+56wjd9aESv3kMKmwynz//fdKS0uzOwwAABCCjhw5ossvv9zuMEISNRQAAKhKTfUTTalyDMNQVlaWmjZtKofDUefnz8/PV1pamo4cOaLY2Ng6P//FirxZR+6sI3fWkDfryJ119Z070zRVUFCg1NRU3oE9j/qsoXhuWEfurCN31pA368iddeTOmlCpn/j4XjlhYWFBeQc0NjaWJ4sF5M06cmcdubOGvFlH7qyrz9zFxcXVy3kvFsGooXhuWEfurCN31pA368iddeTOGrvrJ97uAwAAAAAAQNDRlAIAAAAAAEDQ0ZQKoqioKM2cOVNRUVF2h9KgkDfryJ115M4a8mYdubOO3F3c+Pe1jtxZR+6sIW/WkTvryJ01oZI3FjoHAAAAAABA0DFTCgAAAAAAAEFHUwoAAAAAAABBR1MqiNasWaObb75ZiYmJio+P16BBg7Rjxw67w2oQ3G63XnvtNWVkZCg5OVktWrTQmDFjlJWVZXdoDUZRUZGaNm1qdxgh78iRIxo2bJji4uKUmpqqWbNmyTAMu8NqcFJSUnTixAm7w2gQTNPUO++8o5tuukktWrRQcnKyhg0bpn379tkdWkj79NNPdfvtt6t58+aKjY1Vnz59tHHjRrvDQj2hhrKG+qluUEMFhhqqblBDBYb6ybpQq6FoSgVJcXGxHnnkEU2cOFHHjh3T8ePHNXLkSN14443KycmxO7yQ9/XXX+u9997TnDlzdPToUe3bt08JCQkaOnSo3aE1CHl5eZo5c6ZYQq56RUVFGjRokIYMGaKTJ09q27Zt2rx5s2bNmmV3aA1GUVGRnnvuOWVnZ9sdSoORl5en559/Xv/1X/+lgwcP6vDhw+rTp48GDRqkgoICu8MLWVOnTtXPf/5zfffddzp58qQeffRRjRgxQpmZmXaHhjpGDWUd9dOFo4YKDDXUhaOGqh3qJ+tCrYZiofMgMQxDxcXFaty4cYXxm266SZMmTdItt9xiU2QNg9frldPprDBmGIbi4+O1fft2tW7d2qbIQt/jjz+u5557ToZhKCIiQoWFhXaHFLKeffZZffnll1qyZEnZmMvlUtu2bXXgwAElJibaGF3omzdvnqZNmybDMFRSUqLs7GwlJSXZHVbIO/ffsMPhqDDetWtXPf/88xo4cKAdYYW8wsJCxcTEVBi777771KVLF02ePNmmqFAfqKGso366MNRQgaOGujDUULVH/WRdqNVQzJQKkrCwsErFlCSdOXNGTZo0sSGihsW/oJKk3NxceTyeSk8oVPTMM8/ozJkzTGUNwMqVKzV69OgKYykpKUpPT9e6detsiqrhuP/++3X69GkVFxfbHUqD4nA4KhVUbrdbOTk5io2NtSmq0FfVaz//p16cqKGso366MNRQgaOGujDUULVH/WRdqNVQ4bY86iXONE0dO3ZMc+fOlcPhUP/+/e0OqcEpLS3VhAkTNHr0aKWkpNgdDi4Se/bsUfv27SuNt2nTRnv27LEhIlyKTNPU1KlT1alTJ1177bV2h9MgnDhxQosXL9a2bdv00ksv2R0O6hE11IWhfkJ9oYaC3aifrAmFGoqmVBCVlJS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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_rdd_type()" + ] + }, + { + "cell_type": "markdown", + "id": "10000001", + "metadata": {}, + "source": [ + "## 3. 핵심 가정\n", + "\n", + "RDD가 인과 효과를 제대로 추정하려면 중요한 가정 두 가지가 필요합니다.\n", + "\n", + "### 연속성 가정 (Continuity Assumption)\n", + "\n", + "첫 번째는 **잠재적 결과의 연속성**입니다. 장학금을 받지 않았을 때의 기대 GPA와, 받았을 때의 기대 GPA 모두 기준 점수 근방에서 매끄럽게 이어져야 한다는 뜻입니다.\n", + "\n", + "$$\\mathbb{E}[Y_i(0) \\mid X_i = x] \\quad \\text{and} \\quad \\mathbb{E}[Y_i(1) \\mid X_i = x] \\quad \\text{는 } x = c \\text{ 에서 연속}$$\n", + "\n", + "왜 이게 중요할까요? 만약 이 조건이 충족된다면, 기준 점수 근방에서 관측 결과에 나타나는 **갑작스러운 점프(discontinuity)** 는 오직 처치(장학금) 때문이라고 해석할 수 있습니다.\n", + "\n", + "반대로 이 조건이 깨지면 어떻게 될까요? 예를 들어 학교에서 70점 전후 학생들만 선별해서 특별 지도를 제공한다면, 그 근방에서 GPA가 점프하는 것이 장학금 때문인지 특별 지도 때문인지 알 수 없게 됩니다.\n", + "\n", + "### 국소 무작위화 (Local Randomization)\n", + "\n", + "두 번째는 연속성 가정의 또 다른 표현입니다. 기준 점수 $c$ 아주 근방에서는, 69.5점을 받을지 70.5점을 받을지가 실질적으로 무작위에 가깝다는 것입니다.\n", + "\n", + "이 논리가 성립하려면 개체가 기준점을 **의도적으로 넘을 수 없어야** 합니다. 만약 선생님이 특정 학생을 70점 이상으로 밀어주거나, 학생 스스로 70점을 겨냥해 점수를 관리한다면, 기준점 근방의 \"준무작위성\"은 사라지게 됩니다. 이것을 **조작(manipulation)** 이라 하며, 타당성 검정 과정에서 반드시 확인해야 합니다." + ] + }, + { + "cell_type": "markdown", + "id": "20000001", + "metadata": {}, + "source": [ + "## 4. 구성 요소\n", + "\n", + "RDD를 이해하려면 몇 가지 핵심 개념을 명확히 해야 합니다.\n", + "\n", + "**Running Variable (실행 변수)** $X_i$는 처치 여부를 결정하는 연속형 변수입니다. 수능 점수, 나이, 소득 수준처럼 개체마다 값이 다르고, 이 값에 따라 처치를 받는지 여부가 결정됩니다. 중요한 것은 개체가 이 값을 정밀하게 조작할 수 없어야 한다는 점입니다.\n", + "\n", + "**Cutoff (임계값)** $c$는 처치를 받는 기준입니다. Sharp RDD에서는 $X_i \\geq c$면 반드시 처치를 받고, $X_i < c$면 받지 못합니다.\n", + "\n", + "$$D_i = \\mathbf{1}[X_i \\geq c]$$\n", + "\n", + "**잠재적 결과(Potential Outcomes)** 는 앞서 인과추론 챕터에서 다룬 그 개념 그대로입니다.\n", + "\n", + "- $Y_i(1)$: 장학금을 받았을 때의 GPA\n", + "- $Y_i(0)$: 장학금을 받지 않았을 때의 GPA\n", + "- 실제 관측값: $Y_i^{obs} = D_i \\cdot Y_i(1) + (1 - D_i) \\cdot Y_i(0)$\n", + "\n", + "한 학생의 $Y_i(1)$과 $Y_i(0)$을 동시에 볼 수는 없습니다. 장학금을 받은 학생은 $Y_i(1)$만, 받지 못한 학생은 $Y_i(0)$만 관측됩니다.\n", + "\n", + "아래 표가 이 상황을 정리해줍니다." + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "20000002", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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학생X (수능 점수)D (장학금 여부)Y(0) — 미수혜 GPAY(1) — 수혜 GPA관측 GPA
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" + ], + "text/plain": [ + " 학생 X (수능 점수) D (장학금 여부) Y(0) — 미수혜 GPA Y(1) — 수혜 GPA 관측 GPA\n", + "0 A 69 0 3.1 ? 3.1\n", + "1 B 70 1 ? 3.6 3.6\n", + "2 C 71 1 ? 3.7 3.7\n", + "3 D 75 1 ? 3.9 3.9" + ] + }, + "execution_count": 39, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.DataFrame({\n", + " '학생': ['A', 'B', 'C', 'D'],\n", + " 'X (수능 점수)': [69, 70, 71, 75],\n", + " 'D (장학금 여부)': [0, 1, 1, 1],\n", + " 'Y(0) — 미수혜 GPA': [3.1, '?', '?', '?'],\n", + " 'Y(1) — 수혜 GPA': ['?', 3.6, 3.7, 3.9],\n", + " '관측 GPA': [3.1, 3.6, 3.7, 3.9],\n", + "})" + ] + }, + { + "cell_type": "markdown", + "id": "20000003", + "metadata": {}, + "source": [ + "?로 표시된 칸이 반사실(counterfactual)입니다. RDD는 기준점 근방 — 69점과 70점 학생처럼 — 에서 이 반사실을 추정합니다. 기준점에서 멀리 떨어진 75점 학생의 반사실은 추정하지 않습니다. 이것이 RDD의 추정 범위이자 한계입니다." + ] + }, + { + "cell_type": "markdown", + "id": "30000001", + "metadata": {}, + "source": [ + "## 5. 수식으로 이해하는 RDD\n", + "\n", + "RDD가 추정하는 것은 **기준점에서의 처치 효과(LATE: Local Average Treatment Effect)** 입니다.\n", + "\n", + "$$\\tau_{SRD} = \\lim_{x \\rightarrow c+} \\mathbb{E}[Y_i \\mid X_i = x] - \\lim_{x \\rightarrow c-} \\mathbb{E}[Y_i \\mid X_i = x]$$\n", + "\n", + "직관적으로, 기준점 바로 오른쪽의 기대 결과에서 바로 왼쪽의 기대 결과를 뺀 것입니다. 연속성 가정이 성립한다면 이 차이는 순수하게 처치 때문입니다.\n", + "\n", + "실제 추정은 기준점 좌우에서 각각 회귀선을 적합하고, 그 절편의 차이를 측정하는 방식으로 이루어집니다.\n", + "\n", + "$$Y_i = \\beta_0 + \\beta_1 (X_i - c) + \\beta_2 D_i + \\beta_3 D_i (X_i - c) + \\varepsilon_i$$\n", + "\n", + "각 파라미터가 무엇을 의미하는지 천천히 살펴봅시다. $\\beta_0$는 기준점 바로 아래에서의 기대 결과, 즉 처치를 받지 않은 상태에서의 절편입니다. $\\beta_2$가 핵심입니다. 기준점에서 처치 여부에 따른 결과의 점프, 즉 **처치 효과(LATE)** 입니다. $\\beta_1$은 미처치 집단의 기울기, $\\beta_3$는 처치 이후 기울기가 얼마나 추가로 달라지는지를 나타냅니다.\n", + "\n", + "기준점에서 좌극한과 우극한을 계산하면:\n", + "\n", + "$$\\lim_{x \\rightarrow c-} \\mathbb{E}[Y \\mid X=x] = \\beta_0 \\qquad \\lim_{x \\rightarrow c+} \\mathbb{E}[Y \\mid X=x] = \\beta_0 + \\beta_2$$\n", + "\n", + "따라서 $\\hat{\\tau}_{SRD} = \\hat{\\beta}_2$ 입니다.\n", + "\n", + "단, 이 효과는 기준점 근방 개체들에 한정된 **국소적(local)** 효과임을 기억해야 합니다. 수능 40점대 학생들에게 장학금이 어떤 효과를 낼지는 RDD로 알 수 없습니다." + ] + }, + { + "cell_type": "markdown", + "id": "40000001", + "metadata": {}, + "source": [ + "## 6. 시각화\n", + "\n", + "RDD 추정의 핵심은 **기준점 좌우에서 회귀선이 어떻게 달라지는가**를 눈으로 확인하는 것입니다.\n", + "\n", + "아래 그래프에는 세 가지 정보가 함께 담겨 있습니다.\n", + "\n", + "- **산점도**: 각 학생의 수능 점수(X축)와 GPA(Y축). 장학금을 받은 학생(처치)과 받지 않은 학생(미처치)을 색으로 구분합니다.\n", + "- **회귀선**: 기준점 왼쪽(미처치)과 오른쪽(처치) 각각에 별도로 적합한 선입니다. 두 선은 독립적으로 추정됩니다.\n", + "- **불연속(Jump)**: 기준점에서 두 회귀선의 절편 차이가 **처치 효과 추정값($\\hat{\\tau}_{SRD}$)** 입니다." + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "584bcc9b", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_rdd_regression(beta_0=2.0, beta_1=0.015, beta_2=0.5, beta_3=0.005,\n", + " show_line=True, show_data=True, show_labels=True, random_seed=2026):\n", + "\n", + " np.random.seed(random_seed)\n", + " c = 70 # cutoff\n", + "\n", + " # -----------------------------\n", + " # 시뮬레이션 데이터 생성\n", + " # -----------------------------\n", + " r_obs = np.random.uniform(40, 100, 200)\n", + " D_obs = (r_obs > c).astype(int)\n", + "\n", + " y_obs = (\n", + " beta_0\n", + " + beta_1 * (r_obs - c)\n", + " + beta_2 * D_obs\n", + " + beta_3 * D_obs * (r_obs - c)\n", + " + np.random.normal(0, 0.15, size=len(r_obs))\n", + " )\n", + "\n", + " df = pd.DataFrame({\n", + " \"y\": y_obs,\n", + " \"x\": r_obs,\n", + " \"D\": D_obs\n", + " })\n", + "\n", + " df[\"x_centered\"] = df[\"x\"] - c\n", + " df[\"interaction\"] = df[\"D\"] * df[\"x_centered\"]\n", + "\n", + " # -----------------------------\n", + " # smf 회귀\n", + " # -----------------------------\n", + " model = smf.ols(\n", + " \"y ~ x_centered + D + interaction\",\n", + " data=df\n", + " ).fit()\n", + "\n", + " # 추정된 계수\n", + " b0_hat = model.params[\"Intercept\"].round(2)\n", + " b1_hat = model.params[\"x_centered\"].round(2)\n", + " b2_hat = model.params[\"D\"].round(2)\n", + " b3_hat = model.params[\"interaction\"].round(2)\n", + "\n", + " # -----------------------------\n", + " # 회귀선 (추정치 기반)\n", + " # -----------------------------\n", + " r = np.linspace(40, 100, 200)\n", + " D = (r > c).astype(int)\n", + "\n", + " y = (\n", + " b0_hat\n", + " + b1_hat * (r - c)\n", + " + b2_hat * D\n", + " + b3_hat * D * (r - c)\n", + " )\n", + "\n", + " r_left = r[r <= c]\n", + " y_left = y[r <= c]\n", + "\n", + " r_right = r[r > c]\n", + " y_right = y[r > c]\n", + "\n", + " plt.figure(figsize=(10, 6))\n", + "\n", + " # -----------------------------\n", + " # 산점도\n", + " # -----------------------------\n", + " if show_data:\n", + " plt.scatter(\n", + " r_obs[r_obs <= c],\n", + " y_obs[r_obs <= c],\n", + " color='tomato',\n", + " alpha=0.3,\n", + " s=20,\n", + " zorder=1\n", + " )\n", + "\n", + " plt.scatter(\n", + " r_obs[r_obs > c],\n", + " y_obs[r_obs > c],\n", + " color='steelblue',\n", + " alpha=0.3,\n", + " s=20,\n", + " zorder=1\n", + " )\n", + "\n", + " # -----------------------------\n", + " # 회귀선\n", + " # -----------------------------\n", + " if show_line:\n", + "\n", + " plt.plot(\n", + " r_left,\n", + " y_left,\n", + " label=r'$X \\leq c$ (No Treatment)',\n", + " color='tomato',\n", + " linewidth=2.5,\n", + " zorder=2\n", + " )\n", + "\n", + " plt.plot(\n", + " r_right,\n", + " y_right,\n", + " label=r'$X > c$ (Treatment)',\n", + " color='steelblue',\n", + " linewidth=2.5,\n", + " zorder=2\n", + " )\n", + "\n", + " y_left_intercept = b0_hat\n", + " y_right_intercept = b0_hat + b2_hat\n", + "\n", + " plt.scatter(\n", + " [c], [y_left_intercept],\n", + " color='tomato',\n", + " s=80,\n", + " zorder=5,\n", + " facecolors='none',\n", + " edgecolors='tomato',\n", + " linewidths=2\n", + " )\n", + "\n", + " plt.scatter(\n", + " [c], [y_right_intercept],\n", + " color='steelblue',\n", + " s=80,\n", + " zorder=5\n", + " )\n", + "\n", + " plt.annotate(\n", + " '',\n", + " xy=(c, y_right_intercept),\n", + " xytext=(c, y_left_intercept),\n", + " arrowprops=dict(arrowstyle='<->', color='black', lw=2)\n", + " )\n", + "\n", + " # -----------------------------\n", + " # label (추정값 사용)\n", + " # -----------------------------\n", + " if show_labels:\n", + "\n", + " plt.text(\n", + " c - 14,\n", + " y_left_intercept - 0.04,\n", + " r\"Intercept = $\\hat{\\beta}_0$\" + f\" = {b0_hat:.2f}\",\n", + " color='tomato',\n", + " fontweight='bold',\n", + " fontsize=10\n", + " )\n", + "\n", + " plt.text(\n", + " c + 0.8,\n", + " y_right_intercept + 0.2,\n", + " r\"Intercept = $\\hat{\\beta}_0$ + $\\hat{\\beta}_2$\" + f\" = {(b0_hat + b2_hat):.2f}\",\n", + " color='steelblue',\n", + " fontweight='bold',\n", + " fontsize=10\n", + " )\n", + "\n", + " plt.text(\n", + " c + 0.8,\n", + " (y_left_intercept + y_right_intercept) / 2,\n", + " r\"Jump = $\\hat{\\beta}_2$\"\n", + " + f\" = {b2_hat:.2f}\",\n", + " color='black',\n", + " fontweight='bold',\n", + " fontsize=10\n", + " )\n", + "\n", + " x_sl = 52\n", + " y_sl = b0_hat + b1_hat * (x_sl - c)\n", + "\n", + " plt.text(\n", + " x_sl - 10,\n", + " y_sl,\n", + " r\"Slope = $\\hat{\\beta}_1$\"\n", + " + f\" = {b1_hat:.2f}\",\n", + " color='tomato',\n", + " fontsize=9\n", + " )\n", + "\n", + " x_sr = 86\n", + " y_sr = (\n", + " b0_hat\n", + " + b2_hat\n", + " + (b1_hat + b3_hat) * (x_sr - c)\n", + " )\n", + "\n", + " plt.text(\n", + " x_sr - 10,\n", + " y_sr + 0.1,\n", + " r\"Slope = $\\hat{\\beta}_1 + \\hat{\\beta}_3$\"\n", + " + f\" = {(b1_hat + b3_hat):.2f}\",\n", + " color='steelblue',\n", + " fontsize=9\n", + " )\n", + "\n", + " plt.axvline(\n", + " x=c,\n", + " linestyle='--',\n", + " color='gray',\n", + " linewidth=1.5\n", + " )\n", + "\n", + " plt.text(\n", + " c + 0.3,\n", + " plt.ylim()[0] + 0.05,\n", + " f'$c = {c}$',\n", + " fontsize=11,\n", + " color='gray'\n", + " )\n", + "\n", + " plt.title(\n", + " \"Regression Parameters Visualization (SAT Score → GPA)\",\n", + " fontsize=13,\n", + " fontweight='bold'\n", + " )\n", + "\n", + " plt.xlabel(\"SAT Score $X$\", fontsize=11)\n", + " plt.ylabel(\"GPA\", fontsize=11)\n", + "\n", + " if show_line:\n", + " plt.legend(fontsize=10)\n", + "\n", + " plt.grid(True, alpha=0.3)\n", + " plt.tight_layout()\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 41, + "id": "f8fb4934", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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oVCoBQAwYMEA88cQTYs+ePXbXt1gsDQLnyspK4ePjU+dvzJHmBN1CCHH8+HFxyy23CH9/fwFA9O7dWyxatMj2EKmGVqsVoaGhdufwFxQUiI0bNwohhEhKShLx8fGiqqqqzjpr166tc29o6b23teXm5gp/f3+neSwKCwsFANu15Kqac63/4+XlJe688067c/9//fVXAUAcOXLEtmzlypVCLpc3Os9+0KBB4rrrrmtSG4mo/cnbsBOdiMiud999F0lJSTAajcjKysK7776L77//Hvfddx/i4uJs6y1btgwnT55EYGCg3f1s27YNixYtwrJly3DPPfegR48edV4PDAxEdHR0nWUJCQmYPn16nWWffPIJdDodhg8fbvc4Ncfv2bMnVq9ejR9//BGXX365behsRESEbd2ePXti48aNSE1NRVJSkm153759G+xXq9Xi66+/xosvvojQ0NA6r40cORI33ngjPvzwQ9x///0AgNDQ0AZzB2UyGSZPnuzScMnbb78dDzzwAIDq7LehoaGIjIysMwQYQIP3sWb9nj17IiMjo85ye+8nACQmJtb53WAwoH///tBqtTh//jy6detme+2xxx5DSEiI7feAgAAkJibixIkTDcpSjRw5EiUlJSgoKMCePXtw8uRJLFiwAAsWLLB7zunp6Rg8eLDd144cOYLt27dj+/btePXVV+2us2PHDgQEBAAAHn74YchkMttr/v7+CAoKwvLly3HRRRfVed+GDh1qd3/1TZw4EX379sWKFSswcuRIANXZklevXo0bb7wRvr6+drdrynXWmPrXHlBdWiohIaHB5+2KRx55BPv378fu3buhVqtty+tfE2azGbGxsRBC4OjRoxg7dqxL+2/vvxsAKC8vR3BwsMPXhw4div/973+orKzExo0bsW7dOrzzzjt4/vnncdNNN2HFihV1Ms9v3rwZWVlZuOmmm2zD66VSKaZPn44VK1Zg0aJFLrWrqfr06YNVq1bBaDTit99+w7p16/DFF1/g9ddfx8UXX4xvv/0WQUFBWLNmDYqLi/Hyyy832EdoaCguvfRSpKenIzU1Fd98802dbO4AcNVVV2HcuHH48MMPbfeHltx77XnppZfw888/N/Ed+JvFYsEdd9yBpKQk2/ST2mqmDNX+mweAqKgonDt3rsH6R44cQXx8PIDq7OW1y3kFBQUhKiqqwb5qfPLJJxgxYgR69uxpux6mTp0KmUyG1atX46GHHnJ4Hn5+figrK2vkbInI3Rh0E1G76927t60O6ahRo3Dttddi/PjxmD9/fp35hocOHcLixYsblGOp4efnh6KiImRnZ7sc5IwePbrBskOHDmHSpEl45ZVX7G5TE5Q+//zzOHv2LK644gpER0dj+vTpmD59OiZNmmT70vn+++/jlltuQXJyMmJjYzFjxgxMnz4dF110EeTyurfcjIwMmM1mu20CgLFjx9aZoztq1Kg6QUwNLy+vOvNYHQkPD2+0/muNQ4cO4YsvvkBKSgr+/PNPGAwGWK1WjBo1qs56jtqu1+uxZs0abNy4EXv37sXJkydtba9fm9pesCWXyzF06NAGJaJq3sPKykocOnQIAQEBTmsTOwtCa+b0pqSk2H1fASAmJgYHDx4E0PBcvby88O233+KOO+5Ar169MGbMGNs14SjQt+euu+7C0qVL8frrr0OpVOKPP/7AyZMn8dlnnzncpinXmStOnTqFVatWYfv27Thw4ADKysogk8kcfr6OLF++HO+//z62bt2KqKioOq9ZrVZ89913+PHHH7F7924cPXoU3t7eABpeE860998NUP2ARafTNbqej48Prr32Wlx77bXQarV44IEHsHLlSvTo0aNOALt8+XIAjh/O7Nu3D8OGDXOpbc2hVCoxdepUTJ06Fa+//jqefvppvPTSS7j33nvx1Vdf4eDBg+jVq1edB4r11dyrnX0O3377re33ltx77Xn00Ufx6KOPOnzdmZMnT2Lw4MH49ttv7QbcABASEgKlUonjx4/XWb5p0yYYjUbb73v27MG8efPqrBMYGOjyvba0tBTfffcd9Hq97e+htpUrVzoNuisrK205JojIczHoJiK3k8lkeO655zBp0iSkpaXZgjCJRAK5XO70y0tubi4AOKzfW/+Lsr3svBKJBHq9vtEvSYGBgVi3bh3OnTuHn376CZs3b8asWbPg4+OD//3vfxg9ejR69OiBbdu24fjx4/j555/xyy+/YPr06ejRowd+/PHHOkFgzRdKqdR+TsvKyso6XzrDwsKctq+1vP7663j00UcxZ84cPPbYYxg8eDC6deuG5OTkBuvaez/z8/MxYcIESCQS3H///Xj00UcRGxuL7du347LLLmuwfu1e78b2XZtEIkFFRQX69+/frPrVNe9teHi4Sz3E9tpz8cUX4+TJk9i1axc2bdqEDRs24N///jcuv/xyfPPNN3a/RNc3d+5cLFmyBOvXr8f111+PVatWIS4uzu77XaMp15k9tSsEfPPNN7j11ltx9dVX4/7778fQoUMRHR2NW265pUnJwbZt24Z//OMfWLFiRYOHMzqdDpdeeimysrLwwAMP4B//+Af69++PnJycOqNbXOGOv5vu3btDq9XCaDS6XCvc398fH3/8MTZv3oyffvrJFnQXFxdj7dq1WLx4Ma6++uo621gsFkydOhUrVqxo06C7NpVKhRdffBFbtmzBTz/9BKB6tEXNQwtHmvo5tOTe29ref/99/PDDD5gwYYLDdeRyOcaPH49169Zh6dKltvNMSEios15+fn6L2vL555/DbDZj8+bNDR4O/fbbb3jiiSecPoQpLCzERRdd1KI2EFHbY/ZyIvIIF198MXr27InPP//ctmzAgAH4/fffHW5TWVmJ8PBwBAYG2s1EbDKZkJmZ2eixBwwYgH379kGr1To8Tm3du3fHXXfdhS+//BJZWVkIDAxs0BPRt29fzJ8/H+vWrcPx48dRXFzcoHRQfHw8FAoFdu/ebfe4u3fvRmJiotPentam0+nw2GOP4emnn8aHH36IadOmITIyElar1eWhxu+88w4KCwuxa9cu3H///Rg8eDC8vb1x+PDhVm3rgAEDYLFYHGbZNhqNdbLK29segMNrTAiBqqqqRtshkUgwevRoLFmyBH/88Qd+/vln/Pjjj1i9erULZ1E9PeGKK67AypUrodfr8c0337hcJszZdebt7d3g2gWAgoKCOp9lTYb/NWvW4Oqrr0ZMTAykUmmTPq9Tp07huuuuw+LFi3HzzTc3eH3NmjXYuXMn0tLS8Mgjj2DkyJHw9fVt1jXhjr+bMWPGwGKx2G2vs156uVxuy/xdY/Xq1bBYLHjooYcwZsyYOj/Jycm4+uqr8cUXX9TpTW0NjY0mqMneDwBDhgzB6dOnbQ817akpPebsc7BXnqy2pt57W4Ner8fcuXOdBtw1FixYgOPHj+PDDz90uM7+/ftb1J7ly5dj2rRpuOSSSxpcDwsWLIC3t3edrP21FRUV4ezZs3WmmBCRZ2LQTUQeQSKR4JprrsHXX39tC5TuvvtupKamYv369Q3W//nnn/H8889DKpVi9uzZWLZsGUpLS+us8/rrrzv8MlfbHXfcAZPJZLe80smTJzFnzhwAwK+//tqg9ycwMBChoaG2L8ibNm1qsI+IiAj4+fk1+BLt5+eH2bNn46WXXkJJSUmd13bs2IH/+7//w913391o+1uT2WyG0WhsMFzx7bffbtBGR3Q6HXx9feHj42NbVl5ejtdff71V2zp58mT07t0bTz75ZIOAQqfT4dprr0VFRQWAv3vlagfh/fv3x7hx4/DSSy81uHYsFgvuvvtupw9tiouLsWfPngbLa3qZmxI0zZs3Dz///DM++ugjVFRUOKwJXMOV62zgwIHYtGlTnTJtALBw4cI6Zdd0Ol2Dz3vt2rX4888/XWp7eXk5rrjiClx88cV4+umn7a6j0+kgl8vrzN03mUx44YUXHO7X0QMTd/zdjBw5EqGhoXYf0Fx88cUOA6/ff/8dBw8erFPfe/ny5bjsssscjuSYPXs2ioqK8P3337dO4y+47rrrsHnzZruvpaenY9OmTbZ2zpw5E0FBQfjnP//ZYN3S0lJs3LgR8fHxmDhxIp588skG1/pXX32F3bt3N/o5uHrvbU01pc9ccdVVV+GGG27AokWLsHHjxgavnzt3Dm+88Uaz27J//37s37/f4d+7n58frrzySocPYX7//XcolUpMmjSp2W0govbBoJuIPMYVV1yBgoICW0Bxxx134JZbbsHMmTPx5JNPIjU1FRs2bMCcOXNw7bXX2ubNPvPMM/D398ekSZOwfv16pKWl4bHHHsPKlSsxdOhQh8lrasTFxeHdd9/FG2+8gVtvvRW//vortmzZgieffBJDhgyxzU19/vnnMXz4cHz44YfYuXMnNm3ahJtuugl//PGHbW7hPffcg4kTJ2L16tXYvXs3vv/+e1x++eXIycmxOy/vjTfeQGRkJMaNG4evv/4aO3fuxGuvvYapU6fimmuuwT333NOab3Gj/P39ccUVV+Dxxx/HF198gS1btuChhx7CG2+8gdGjR+Ovv/5qtAb1jTfeiHPnzuHOO+/E9u3b8eWXX2LkyJG2OZ0bN27E2bNnW9xWhUKBr776CkeOHMHEiRPx3XffIS0tDe+99x4SExNRUFBgG65Zk1Bv2bJlSEtLs9UBX7VqFQwGA8aOHYvPP/8cO3bswIoVKzB06FBs3boVkZGRDo9fXl6OsWPH4tZbb8X333+PXbt24bPPPsPUqVMRExODWbNmuXwul156KSIjI/Gvf/0LM2bMcDqXFnDtOnv88ceRnp6Oa6+9Fr/88gt+/fVXXH/99diyZQvGjx9v29fs2bPx2muv4cMPP8T27dvxzDPP4O6778all16KU6dOYevWrQ0C99puvvlmlJaWYuHChTh48CAOHDhQ56eiogIzZsyAUqnEjTfeiN9//x3fffcdLrroIlsN7t9//x0nT5607TM6OhpfffUV0tLSsG7dugbHbO+/G4VCgbvuugsrV65s8JoQAsOHD8c111yDNWvWYNeuXdiwYQPmz5+PadOmYfLkybbPZM+ePfjzzz+dBpOTJ09GeHi4w97N5vLz88PkyZMxadIkrFixwnYPe/zxxzF27FjExsbixRdfBFB9H/j888/x7bff4pprrsHPP/+MHTt24J133sHAgQNtCeg+++wzaLVaXHzxxfj++++RlpaG//znP5gzZw4WLlyIadOmOW2Tq/ded1q5ciUmTZqEyy+/HHfddRc2btyI7du347XXXsOQIUNaNLR7+fLlCAoKwhVXXOFwHWcPYT777DNcd911dpMhEpGHcVvedCLqcurX6a7PZDKJoKAgcfPNN9uWWa1W8cEHH4ghQ4YILy8vERERIW699VaRnp5eZ9ucnBwxa9YsERAQIHx9fcWNN94ozp8/LxITE8UjjzwihKgu5eKszM7mzZvFpEmThK+vr/D39xeXXnqp2LBhg+31c+fOiX/9618iMTFR+Pj4iNDQUHHppZfWKbdz9OhRcf/994t+/foJlUolNBqNuOaaa+rUxK1d+kgIISoqKsTjjz8uevbsKRQKhejbt694+eWX65Snql2uqb7//Oc/YsKECQ7Pq+aYrpYYKisrE/PnzxfdunUTAQEB4qqrrhInTpwQH374ofDx8RFDhgwRQjh/Pzdu3ChGjx4t1Gq16Nu3r3j33XdFeXm5GDJkiPD29hZfffWVwzJeNfu2d772tjl+/LiYPXu2CA0NFSqVSgwbNky8++67wmQy1dn2ueeeE6GhoUKtVoslS5bYlufm5or77rtPREZGCi8vL5GQkCBeeOEFodPp6hyzflkkIaqvmRtuuEF0795deHl5iV69eokFCxaI3Nzcxt7mBp5++mkBQKxfv97u67WvAVeuMyGqP4eRI0cKpVIpIiIixJ133inOnTsnZs+ebSv5ZTQaxZIlS0RMTIzw8fERl1xyidi3b5/YsGGDCAwMFBEREcJgMDgsGQYHZQBrfn7//XchRHU5r0suuUT4+fmJ6Oho8fTTTwuj0WirCf7KK6/Y2v3DDz+I3r17C6VSKS6++GIhhHv+bmorKioSgYGBDcpeWSwW8e2334obbrhBREVFCYVCIfz8/MS4cePExx9/bKsZLoQQ9957rwgMDBR6vd7psRYsWCDkcrnD66i5JcN++eUXMWfOHNGrVy/h5eUl1Gq1GDFihHjllVfstungwYPi2muvFUFBQUKpVIrBgweLN954o866BQUF4v777xeRkZFCqVSKAQMG1KkvL0TL773uZrVaxaeffirGjBkjfHx8RGBgoLj00kvFpk2bxJkzZ+qU+7JXp9ueqqoqERQUJO69916n6xmNRhESEiJmzJhRZ/mhQ4eEQqEQmZmZzT8xImo3EiEayZRBROThjh8/jh49ejRIcJSZmYnExET873//c9qTQETkio8//hhvvvkm9u/f36ws8UStZfLkyUhKSsIzzzzj7qYQkQs4vJyIOrytW7ciMTERS5cuxebNm5GSkoL33nsPl156KcaOHWu3jjQRUVPdddddiI6ObtE8XqKW+uabb1BYWIglS5a4uylE5CL2dBNRp7Bhwwa88cYb2LFjBwwGA2JiYnDttddiyZIldRJ6ERERERG1JwbdRERERERERG2Ew8uJiIiIiIiI2giDbiIiIiIiIqI2wqCbiIiIiIiIqI102XoXVqsVOTk58PPzg0QicXdziIiIiIiIqAMRQqC8vByRkZGQSh33Z3fZoDsnJwfR0dHubgYRERERERF1YNnZ2YiKinL4epcNuv38/ABUv0H+/v5ubo1jVqsVBQUFCAsLc/r0hIjXCrmK1wq5wmg04tVXXwUALFq0CCqVys0tIk/Fewq5itcKuaqjXCtarRbR0dG22NKRLht01wwp9/f39/igW6/Xw9/f36MvOHI/XivkKl4r5Aqj0WgLtP39/Rl0k0O8p5CreK2QqzratdLYdGXPPwMiIiIiIiKiDopBNxEREREREVEb6bLDy4mIiMgxhUKBBQsWoKioCAqFwt3NISIi6rAYdDfCYrHAZDK57fhWqxUmkwl6vb5DzGcg92mNa0WhUEAmk7Vyy4ioI5JIJAgMDITRaGRpTSIiohZg0O2AEAK5ubkoLS11ezusVivKy8v5pYecaq1rJTAwEBqNhtcbEREREVErYNDtQE3AHR4eDrVa7bYARAgBs9kMuVzOIIicaum1IoSATqdDfn4+AKBbt26t3UQi6kAsFgs2b96MyspKzJgxg6OtiIiImolBtx0Wi8UWcIeEhLi1LQy6yVWtca14e3sDAPLz8xEeHs6h5kRdmMViQVpaGgBg2rRpnNdNRETUTHxsbUfNHG61Wu3mlhC1v5rr3p25DIiIiIiIOgsG3U6wZ5m6Il73RERERESth0E3ERERERERURth0E1ERERERETURhh0ExEREREREbURBt3kFhkZGVi3bp27m9GlbN26FTt37nR3M4iIiIiIuhQG3dTurFYr5s2bh5iYGADAli1b4Ovri6NHj9pdf+7cuVixYkWTj3PvvffC19fX9iORSODj42P7fdq0aS05DafWrl2LAwcOtNn+m3P8vn374r777kNVVZV7GkVEHYpCocA999yDG264geXCiIiIWoBBdydjtVoRHx+PJ554os7yH3/8EUqlEt99952bWva3Tz/9FPHx8RgyZIhtmcViwezZs1u1TNUHH3yAiooK24+Pjw8OHz5s+/2nn35qtWPV54lBd/fu3TFz5ky8/PLL7mkUEXUoEokE4eHhCA4OZlUDIiKiFmDQ3clIpVI89thjePfdd1FWVgYA2Ldvny3Yuvbaa5u0P5PJ1KqBsNVqxbPPPouFCxfWWT569GhERUXhySefbLVjUUP/+Mc/sGzZMlRUVLi7KUREREREXQKD7k5o9uzZCA4OxjvvvIMzZ85gxowZuP3227Fo0SKXts/JycHy5ctx3XXXITQ0FCdOnHC47pkzZzBnzhxERETA29sbgwcPxh9//OFw/T/++AMymQyJiYkNXvv444/x+eefY+vWrQ63z8/Px80334yAgACEhITgH//4ByorK106L3tWrFiB+fPnY8GCBQgKCsLdd98NACgsLMQtt9yCoKAghISE4OGHH4bFYrFt99VXX2HUqFEIDAxEbGwsvvjiC9triYmJ+Pzzz23D29944w3MmjUL77zzDnr06IHg4GDMmzcPer0e77//Pnr27InQ0FDMnz8fVqvVth9nbVixYgUWLVqEb7/9Fv3790dgYCBmzJiBrKwsDBgwoM7x165da9unn58fRowYgfXr1zf7PSOirsFisWDr1q3Ys2dPnfsfERF1TXqjGaWVBuiNZnc3pcORu7sBHYauEjh3qv2PKwSgiQb8AlzeRC6XY/Hixfj3v/+NL7/8EiNHjsSbb77pcH2LxYKdO3diw4YN2LBhAw4cOIDExERMnz4dCxcuRGxsrN3tsrKyMHr0aFx00UVYv349goODsWXLFvj7+zs8VlpaGkaNGmX3tZCQEHz66aeYM2cODhw4gMDAwDqvG41GTJ48GePHj0d2djb0ej3uu+8+XHfddfj5558bf2McWL16Na655hrk5ORALpfDaDRiypQpGD9+PM6ePYuKigrccMMNWLp0KR577DEA1fPQV65cifj4eGzduhXTp0/HgAEDMGjQIBw+fBhz587FxIkTbfPRN27ciLNnzyItLQ0SiQRTpkzBhAkToFKpkJKSAqVSiSlTpmDVqlWYM2eOS2349ddfsX//fmzYsAGRkZF45plncPPNN+Ovv/7C7bffbjt+fUOHDkVKSgpmzZrV7PeMiDo/i8WCbdu2AQAmT57Med1ERF2U2WJFZk4ZsgvLoTdZoFLIEB3qh7jIAMhl7MN1BYNuV507Bbz8z3Y/rASA5OGXgPjBTdpu9uzZWLhwITQaDb788ktIpfb/ID799FP885//RGVlJSZNmoS77roL06dPtyU5c+a+++7DmDFj8PXXX9uW9evXz+k2Z8+eRUREhMPXJ02ahOuvvx733nsv1qxZU+e1r776ClKpFG+//TakUin8/f2xatUq9OvXD9u3b8f48eMbbbM9Qgi888478Pb2BlAdhFssFrz55pu25Guvv/46ZsyYYQt433//fdv2EydOxPTp07F582YMGjTI7jEqKyvx+eefo3v37gCq37tHHnkEJ06cQGRkJADgrrvuwm+//YY5c+bg66+/brQNWVlZ2Lx5M8LDwwEAzz77LN59910UFxc7Pd/w8HC3zjcnIiIioo4jM6cM6dnFCFArEeKrQpXRjPTs6u+bidFBbm5dx8Cgu5OaP38+gOohyo4CbgAICgpCVFQUDh06hNzcXJw/fx45OTmIjo52ul1WVhZ++ukn7N+/v0ntMhgMtiDRkRdeeAGjR4/GypUrMWfOHNvyHTt2YOrUqXXapVarMX78eOzcubPZQfe4cePg4+Nj+z0tLQ1Hjx5FUFDdm4her0dZWRkCAgJQWlqKL774Atu3b0d6ejpOnz6NhIQEh8cYOHAgoqOjbb/7+vpi8ODBtoC7ZllRUZFLbQCA8ePH13kvJRIJAgMDodVqnZ6vSqWCXq93ug4RERERkd5oRnZhOQLUSvirlQAAhVwJASC7sBx9IvygUjKkbAzHA3RCS5YswY8//ogdO3bAbDZj+fLlDte9+uqrcfDgQWRnZ+Pee+/FX3/9hcsuuwxhYWGYNWsWVq9eDYPB0GC7AwcOQKlU1slA7org4GCUl5c7XUepVOLLL7/E4sWLcfLkyTqvtUUG3bCwsAbLFi1ahNLS0jo/er0eAQEByMrKwsCBA5GVlYWHHnoIqampuOGGG5wew17vfmhoqNNtnLXBUbtdodVqERIS0qxtiYiIiKjr0Jss0Jss8K4XWKuVchguvEaN42MJV3XvBSx+pd0PK4SA0EQ3vuIFH330EV599VX89ttvGDx4MBYuXIilS5fi7rvvdjofr3v37pg3bx7mzZsHo9GIbdu2YcOGDXjuuecwcuRIxMXF1VlfoVDAbDZDp9NBrVa73L5BgwZh9erVja4XHx+Pp556CrNnz0afPn0AAGPHjsXrr7+OF154wRZ863Q6bN++HQsWLHC5DY0ZO3Ys3nvvvQbLi4uLERwcjG+++QZjxoyxld6yWq3YsWMHrr/++nZrQ0scO3bM4TB4IiIiIqIaKoUMKoUMVUYzFHKlbbnOaIbXhdeocezpdpXaB+g3wD0/3j6Ntw/Ahg0bMH/+fHz++ecYM2YMgOph5mVlZVi1apXdbQoKCpCRkVHn5+TJk4iKisLdd9+NtWvXolevXg22Gz16NAICAnDffffhyJEjSE9PxwcffIBjx445beMll1yC3bt3u1SG7N5770V4eDi+/fZbAMDMmTMBAA899BDKy8uRm5uLW2+9FUOHDkVycnKj+3PVzJkzYTAY8PDDD6O4uBgmkwk//PADJk6cCKD6gcCBAwdw7tw5lJeX46GHHkJZWRkqKioghAAA+Pj44MSJE7BYLM0qz9VYGxrj7Phbt27FZZdd1uQ2EREREVHXolLKER3qhzKdEWU6I0xmK8p0Rmh1RkSHcmi5qxh0dxJ79+7FjTfeiKVLl+Kaa66xLQ8ICMADDzyAl156yW7Jl1dffRX9+/d3+lN/iDdQnWn8+++/x7FjxzBy5EiMGzcO69evb3S+tkajwcUXX4z/+7//c+m8li9fbpvXrFAo8Msvv6C0tBQxMTGIj49HeHh4nURuraHmOCUlJejbty8iIiLw2Wef2Y4zY8YMzJkzB8OGDUPfvn0RFBSEpUuX4r333rP1Tt9xxx1YvXo1goOD4eXl1eptaEzt46elpdmWp6WlITAwEMOGDWtym4iIiIio64mLDEBCdDCEECiu0EMIgYToYMRFul5dqauTiJquuS5Gq9UiICAAZWVlDUpc6fV6nDp1Cr169YJKpXJTC6sJIWA2myGXy9tkPrM7HDt2DDNnzsTu3bshk3FISmtx5Vq57LLLsGTJEowbN87hfjzp+qe2YbVakZ+fj/DwcKcJE6lrs1qtyMnJQXFxMRISEiCXszeD7OM9hVzFa6Vj0xvNtpJhbd3D3VGuFWcxZW2eewbUafXr1w/XXXed3TnL1HbWr1+Pnj17Og24iYhqSKVSREZGevwXHiKitqQ3mlFaaYDeaHZ3U9xOpZQj0MeLQ8qbge8YucUTTzzh7iZ0OVdeeSWuvPJKdzeDiIiIyOOZLVZk5pQhu7Dc1rsbHeqHuMgAyGV8EElNwyuGiIiIGrBYLEhNTcWBAwfs5gQhIurMMnPKkJ5dDKlEghBfFaQSCdKzi5GZU+buplEHxKCbiIiIGrBYLNi8eTN27tzJoJuIuhS90YzswnIEqJXwVyuhkEvhf+H/swvLOdScmoxBNxERERER0QV6kwV6kwXe9eYuq5VyGC68RtQUDLqJiIiIiIguUClkUClkqKrXo60zmuF14TWipmDQTUREREREdIFKKUd0qB/KdEaU6Ywwma0o0xmh1RkRHerH7N3UZLxiiIiIiIiIaomLDAAAZBeWo7hCDy+FDAnRwbblRE3BoJuIiIiIiKgWuUyKxOgg9Inws5UMYw83NRevHCIiIiIiIjtUSjmDbWoxXkFERETUgFwux6233orS0lLI5fy6QERE1Fz8V5SIiIgakEql6NmzJ/Lz8yGVMu8qERFRc/FfUXKLjIwMrFu3zt3N8Dhbt27Fzp073d0MIiIiIiJqJQy6qd1ZrVbMmzcPMTExAIB7770Xvr6+th+JRAIfHx/b79OmTWuTdqxduxYHDhxok303tw19+/bFfffdh6qqKvc1iogIgMViwe7du/HXX3/BYrG4uzlEREQdFoPuTsZqtSI+Ph5PPPFEneU//vgjlEolvvvuOze17G+ffvop4uPjMWTIEADABx98gIqKCtuPj48PDh8+bPv9p59+apN2eGLQ3b17d8ycORMvv/yy+xpFRITqoPvnn39GSkoKg24i6vT0RjNKKw3QG83ubgp1Qgy6OxmpVIrHHnsM7777LsrKygAA+/btswVy1157bZ31c3JyYDa3383FarXi2WefxcKFC9vtmB3NP/7xDyxbtgwVFRXubgoRERFRp2a2WHE4uwRbDufYfg5nl8Bssbq7adSJMOjuhGbPno3g4GC88847OHPmDGbMmIHbb78dixYtarDuRx99hKioKPzzn//EoUOHmnysM2fOYM6cOYiIiIC3tzcGDx6MP/74w+H6f/zxB2QyGRITE5t0nBUrVmD+/PlYsGABgoKCcPfddwMACgsLccsttyAoKAghISF4+OGHbT0yX331FUaNGoXAwEDExsbiiy++sO0vMTERn3/+uW1o+9q1a7FixQrMmjUL77zzDnr06IHg4GDMmzcPer0e77//Pnr27InQ0FDMnz8fVqu10eOvWLECixYtwrfffov+/fsjMDAQ06dPR1ZWlsM2AICfnx9GjBiB9evXN+k9IiIiIqKmycwpQ3p2MaQSCUJ8VZBKJEjPLkZmTpm7m0adCLOXu6hSb8Kp/PJ2P64QAtHB3gjwdf2jksvlWLx4Mf7973/jyy+/xMiRI/Hmm2/aXXfx4sWIj4/HZ599hmHDhmHgwIGYO3cubr75ZoSFhTk9TlZWFkaPHo2LLroI69evR3BwMLZs2QJ/f3+H26SlpWHUqFEun0ttq1evxjXXXIOcnBzI5XIYjUZMmTIF48ePx9mzZ1FRUYEbbrgBS5cuxWOPPYYtW7Zg5cqViI+Px9atWzF9+nQMGDAAgwYNwuHDhzF37lxMnDgRc+fOBVAdJG/cuBFnz55FWloaJBIJpkyZggkTJkClUiElJQVKpRJTpkzBqlWrcPPNNzs9PgD8+uuv2L9/PzZs2IDIyEg8++yzuOGGG7Br1y67bagxdOhQpKSkYNasWc16r4iIiIjIOb3RjOzCcgSolfBXKwEACrkSAkB2YTn6RPixRje1Cl5FLjqVX46HV6a55dgvzx6Jwb7eTdpm9uzZWLhwITQaDb788kuH5V5UKhVmzpyJmTNnIj8/H1988QVWrFiBf/7zn7j88ssxZ84cXHHFFXZrtN53330YM2YMvv76a9uyfv36OW3X2bNnERER0aRzqSGEwDvvvANv7+r3YvXq1bBYLHjzzTdtyddef/11zJgxA4899hjef/9927YTJ07E9OnTsXnzZgwaNMjhMSorK/H555+je/futnN85JFHcOLECURGRgIA7rrrLvz222+QyWROjw9UP5jYvHkzwsPDAQDPPvss3nnnHRQXFyM4ONhhO8LDw90+35yIiIioM9ObLNCbLAjxVdVZrlbKUVyhh95kYdBNrYJXUSc1f/58ANXDn12trxoeHo6FCxdi4cKF+OmnnzB37lysW7cO+/fvtyU9q5GVlYWffvoJ+/fvb1K7DAaDLQBtqnHjxsHHx8f2e1paGo4ePYqgoKA66+n1epSVlUEIgS+++ALbt29Heno6Tp8+jYSEBKfHGDhwIKKjo22/+/r6YvDgwbaAu2ZZUVFRo8cHgPHjx9c5X4lEgsDAQGi1WqdBt0qlgl6vd9pWIiIiImo+lUIGlUKGKqMZCrnStlxnNMPrwmtErYFzujuhJUuW4Mcff8SOHTtgNpuxfPlyl7YrLy/Hp59+iksuuQRXXHEFBgwYgJUrV9oNVA8cOAClUtkgGG9McHAwysubN0zf3nD3RYsWobS0tM6PXq9HaWkpBg4ciKysLDz00ENITU3FDTfc0Ogx7PXCh4aGOlzf0fEDAgIcttkVWq0WISEhzdqWiIiIiBqnUsoRHeqHMp0RZTojTGYrynRGaHVGRIdyaDm1Hl5JLuoV7odX54xt9+PWzOl21UcffYRXX30Vv/32GwYPHoyFCxdi6dKluPvuu6FQKBqsb7FYsGnTJqxatQpr165FdHQ0brvtNqxYsQI9evRweByFQgGz2QydTge1Wu1y+wYNGoTVq1e7vL4zY8eOxXvvvddgeXFxMb755huMGTPGVnrLarVix44duP7661vl2I0d31kvtiuOHTvmdBg8EVFbk8vluOmmm1BaWmp3ihERUWcQF1ndUZJdWI7iCj28FDIkRAfblrcFvdFcPXRdIWNg30XwU3aRj0qBAT1aFkg1hxDC5ZJeGzZswPz587FmzRqMGTMGQPUw8//+979YtWoV7rjjjgbbvPDCC3j11Vcxc+ZM/Prrr0hKSnLpWKNHj0ZAQADuu+8+PProoxBCYNu2bZg0aZLTed2XXHIJHnzwQZhMJrsPAZpi5syZeP311/Hwww/jiSeegJ+fHzZu3IjHH38cL7zwApYtW4Zz587B398fS5YsQVlZGSoqKiCEsM3BPnHiBCwWC6qqqlr1+H/++adL+6jfBl9fXwDA1q1bW+3hBBFRc0ilUvTr1w/5+fkuT1MiIupo5DIpEqOD0CfCr80DYbPFisycMmQXltuOFR3qh7jIAMhlne8+y4cLf+t8n24XtXfvXtx4441YunQprrnmGtvygIAAPPDAA3jppZdspaxqu/XWW5Gbm4tly5a5HHADQEhICL7//nscO3YMI0eOxLhx47B+/fpG52trNBpcfPHF+L//+z/XT84BhUKBX375BSUlJejbty8iIiLw2Wef4euvv8aMGTMwZ84cDBs2DH379kVQUBCWLl2K9957z9Y7fccdd2D16tUIDg5GWlrTk+Q5O76r7LUhLS0NgYGBGDZsWJPbRERERERNp1LKEejj1abBYUcsT6Y3mlFaaYDe6FonIMDa5/ZIhBDC3Y1wB61Wi4CAAJSVlTUocaXX63Hq1Cn06tULKpXKwR7aR01Pt1wuh0QicWtbWsuxY8cwc+ZM7N69GzIZE1TUd9lll2HJkiUYN25ck7ZrrWvFk65/ahtWqxX5+fkIDw9nDyY5ZLFY8Oeff0Kr1SIpKanFo5Oo8+I9hVzVla8VvdGMLYdzIJVIbOXJAKBMZ4QQAhMTIz2qN7glvfKHs0uQnl2MALUS3ko5qoxmlOmMSIgORmJ0kNNta3SUa8VZTFmb554BdVr9+vXDddddZ3c+dFe3fv169OzZs8kBNxFRa7NYLFi/fj22bNlid6QUERG5rqY8mXe9wFqtlMNw4TVP0txe+fq1zxVyKfwv/H92YXmTesw7E895nEJdyhNPPOHuJnikK6+8EldeeaW7m0FEREREraix8mQQAqWVBo+Y/1w/cAYAhVwJgeqEc30iHGd2Z+1z+7reGRMREREREbWjmvJk6dnFEKgOQnVGM0orDPBRKbDjWL7HJFdrSeDM2uf2cXg5ERERERFRG4uLDEBCdDCEECiu0EMIAR+VApUGk0clV6sdONfmSuDM2uf2dc2zJiIiIiIiakf1y5NBCOw4lo8gH68mD+NuS4565bUXkqE11iZXa593pZJinfvsiIiIiIiIPIhKKYdKKa8uxeWh859dDZztaaz2eVerVw4w6HbKau26teSo6+J1T0RERNT2PHn+c2OBsytqHi7UV5MZPUCtRIivClVGM9KziwHA5ZJiHQ2DbjuUSiWkUilycnIQFhYGpVLpthrZnbFON7WNll4rQggYjUYUFBRAKpVCqVQ2vhERdVpyuRzXXXcdysrKIJfz6wIRUWtr6TDu9mpja7ajJZnRO7LOd0atQCqVolevXjh//jxycnLc2hYhBKxWK6RSKYNucqq1rhW1Wo0ePXpAKu2cw3uIyDVSqRQJCQnIz8/n/YCIugR3zDF2NIw7JtTHY0qItaauWlKs851RK1EqlejRowfMZjMsFvcVq7darSgqKkJISAi/9JBTrXGtyGQyjqogIiKiLsWdc4zrD+OWSyXIKqzEHxm5nXK+sycPqW9LDLqdkEgkUCgUUCgUbmuD1WqFQqGASqVi0E1O8VohotZktVqRnp6OsrIyhIaG8r5CRJ2WJ8wxrhnGfTi7pE5btDoj9p7Ih8FkwbDeoe3SlrbUEYbUt4XOeVZERETUImazGd9++y0AYPjw4ZzXTUSdkifNMa7dFh+VHOeKdCgor4JWZ0R+WRUkEBgYE9Lhe7xbkhm9o+K/oERERERE1CV50hzj2m05V6TDmcIK+HjJEezjhdJKAw6dKYZSIe/wGb5bIzN6R9OxH5MQERERERE1U+05xrW5Y45xTVu0OiMKyqvg4yWH2ksOiwB81UoE+3pVzzuv19aOSqWUI9DHq9MH3ACDbiIiIiIi6qJq5hiX6Ywo0xlhMltRpjNCqzMiOrR9y1fVtKWoQg+tzgipBKg0mKEzmBDm740AtRcMF3rDqWPp/I8ViIiIiIiIHPCkOcZxkQEwmCzIL6tCaaUBvmoleoT5oXuwGhX6zp3huzNj0E1ERERERF2WJ80xlsukGNY7FBIIHDpTjGBfLwSovVCh7/wZvjszfmJERERERNTl1ZTt8gQDY0KgVMg9ove9reiN5joPOWr/rpR3rlnQnnFVERERkUeRyWS48sorodVqIZNxKCMRUXvypN731ma2WJGZU1adFM5kgVImhVUAEglgslihUsgQFeKLILnV3U1tNZ3rEQIRERG1CplMhsGDByMuLo5BNxGRm3SEDN96oxmllQaXs6pn5pQhPbsYUokEIb4q5JVVYcfRPOSXVSHEVwWpRIIj2cU4V6Rr45a3H8/99IiIiIiIiMgj1e+xlkkkCAvwxoDoIPh6K+1uU1qhR+a5Enh7yeCvVsJotkBnNCPY1ws6oxkCAv5qJaxCoEBbBr3RDLXK/r46EgbdRERE1IDVasWxY8dQWlqK0NBQSKUcHEdE7lN//m9n0ZHPq6bH2lelgM5gxvniSuw5UYDD2cUYE6tBXGQA5LLqfztqAvTMcyU4nF2MAB8ldAYLAtVKmMxW+HjJoTdZYDRboZTLoFbKUVJuhcFkgVrl5hNtBR3rkyUiIqJ2YTabsWbNGgDA4MGDIZfzKwMRtb/6vakqhQzRoX51ArqOqKXn5e5gXW80I7uwHAFqJUorjcgp1sHHSwGlQoaSSgP+PF0IAEiMDgLwd4CuVsoRoPaC2WzFmYJymIJ8oJBLUWkww0v5dwI1ndEMuUwKr05SHo3/ghIRERERkUeqCdYC1EqE+KpQZTQjPbsYwN8BXUfU3PPylIcQepMFepMFfioFCsqr4OMlh9pLDrPFCqtVwFspQ3ZhOfpE+AGALUD3VytRaTDjTGEFJBIJiiqqoFLIcL7CgN4af0ggQZnOiHKdETH+3h2u99+Rjvt4iIiIiIiIOq3avan+aiUUcin8L/x/dmG5y4m7PE1Lzqt+EjKpRIL07GJk5pS14xmguoddIUN5lQkms9XWQ20wWyGXS+GnVsJwITCv+fG+EEB3D1GjR6gvFDIpyiqNCPLxwpjYCEQEeKO4Qg8hBPpHB6N7iLpdz6ktdY5HB0RERERE1KnUBGshvnUn9aqVchRX6Kt7ejtgT2hzz6t+sA4ACrkSArD1KrfX+6FSyhEd6oeDpwthtlihM5ghk0mhM5jQI8wPZouA14XAHKgO0quMZijkSsikUvQI84XaSw6j2YJLBkQi0FdVnQVdZwSEgL+3AtpSY7ucS3voeFcpERERERF1ejW9qTXBWg2d0VwnoOtomntenvYQIi4yoLpdxurh4r7eCkQG+8BPJYdWZ0RCdLCtPdGhfkjPLoa40F6d0YwqoxkJ0cEI9FXBbLHiRF65bdi8l1yKEIUJwSGhUHaCRJ4MuomIiIiIyOPU9KbWD9bqB3QdTXPPy9MeQshlUiRGByEm1Afp2SXIK6uCVQhIJBIkRAfbgnLg7wA9u7AcxRV6eClkddapP8ddZzDhTGE51Oe1GNAjuF3Pqy10zCuViIiIiIg6vcaCtY6qOeflqQ8hfL2VGBUb4TSjek2A3ifCr8E69obN+8uUsFTJkV1Yjr4a/w77gKVGx249ERERtQmZTIapU6eivLwcMlnHHMJJRB2fs2CtI2vueXnyQwiVUt7oOdhbx9GweS+5DBUXXuvon3nHbj0RERG1CZlMhpEjRyI/P59BNxG5nSsBXUfU1PPqjA8hHA2bN5gtUKo67tz92jr+rHQiIiIiIqIuRKWUI9DHy+WAW280o7TS4JFl1mqGzZfpjCjTGWEyW1GmM0JnMCM6tP0ysreljn8GRERE1OqsVitOnz6N0tJShIaGQtoJsscSEXU1ZosVmTlltqzgKoUM0aF+iIsMgFzmOff1+sPmlXIpeoT6Ibabv5tb1joYdBMREVEDZrMZq1atAgAkJCRALudXBiKijqZ+VvAqoxnp2cUAgMTooCbvz1mytJaoP2xeKZNAW1rsUQ8GWoL/ghIREREREXUy9rKCK+RKCFT3KPeJqB667Uog3V495jVz3K1WK7Sttlf3Y9BNRERERETUyTjKCq5WylFcoUeF3oQTeeUuBdKt0WPeVr3kHUHXOlsiIiIiIqIuwFFWcJ3RDC+FDNmFFTieq200kHa1x9yRjjKvvC11jbMkIiIiIiLqQhxlBdfqjAgPUCOvrMoWSCvkUvhf+P/swvI6Wc5resy96wXWaqUchguvOVPTSy6VSBDiq4JUIkF6djEyc8ra5Lw9EYNuIiIiIiKiDsTVEmBxkQFIiA6GEALFFXoIIZAQHYweoT4uB9K1e8xrq+kxd1ZHu34vubPgvjPj8HIiIiIiIqIOoKlDtetnBa+ZT603mp0OPa8dSNf0mKdnF0OgOjDXGc3Q6oxIiA52OrS8sXnlepOlS8zv7vxnSERERE0mk8kwadIkVFRUQCZz3ItBRETtp7kJzWqygtf+vSmBdP062l4KGRKig23LHR63kXnlznrJOxMG3URERNSATCZDUlIS8vPzGXQTEXmAliY0q68pgbSjHvPGNLeXvEJvQurxIoQUWTAhsbvL5+SpGHQTERERERF5uNYeqt2cQLp+j7mtbU7Kgbka3BeV65F2NA+pGbk4cLoIFqtAr3A/Bt1ERETUOVmtVuTk5KC4uBihoaGQSpl7lYjIndpqqLajQNqR2gG2XCZtdI65s+D+XHElUjNykZqZhyNnSyDqHetUfjnOl+jQLUjdrHPzFAy6iYiIqAGz2Yzly5cDAGJjYyGX8ysDEZE7tSShWWuwl8TNbBGo1JsQ5OvV6BxzlVIOL4UMJ/O0+CMjF6kZeThdUO70mN5KGbIKyhl0ExERERERUdtrbkKz1lA/iVtZlQEHThWhe4gPYtR+MJotkEkl8FbK6swxt1gF0s+WIDUjFymZucgrrXJ6nAC1EmNjw5EQocKEIb2hUira/NzaGoNuIiIiIiJqEWdzeu2ta7QIl5Nx0d+am9CspewlcfNWyCGTSaCtMuJEnhallQaYzFZIpYBMKoVcKsGh7BLsOJqH0kqj0/1HBHgjKV6D5HgNEqKCIIFAfn4+lPLOkcjTrVd5SkoK3nrrLWzZsgVVVVVITEzEiy++iIkTJzrdrqSkBAsXLsT69eshk8kwa9YsLF26FCqVyul2RERERETUeppSN9psseJMQQWKcgwwmK2N1pgmx5o6D7ul7CVxU8il8FHJcb5Yh0q9Cb4qJUorDDhVUI4CrR7rrfVnaNfVM8wPSfERSI7ToI/GHxKJxPaatZFtOxq3Bt0PPvgg5s+fj08++QRKpRLff/89rrvuOqSlpSE2NtbuNlarFVdccQUmTZqE8+fPo6qqCgsWLMA999yDlStXtvMZEBERERF1XU2pG330vBZnCsvhFxjSpBrT5H72krgp5TJIAJwtqoRFCJRUGGEVzoPl/lGBSI7TIClOg+4hPu3Qcs/g1qB7y5Yt8PX1tf1+7bXXYtOmTdi4caPDoPubb76BxWLB008/DQBQqVT45JNPEBUVhcOHDyMxMbFd2k5ERERE1JU1pW50zbo+XnL4q5WQSCQtqjFN7at2ErcynRFZBRVIP1uCnOLKBhnHa5NJJRjcMwRJcRokxUUgxK9rjkx265VdO+CuUVVVBR8fx089/ve//2HmzJl1limVSlx99dVYt24dg24iIiIionbQlLrRepMFBpMFfvXm6Da3xjS1HyEEsgoqsP9kAX77Kwfniiudrq+QSdEz3A99Ivxw64RYhPp7t1NLPZfHXNmFhYVYtWoV9u7di/fee8/hekeOHMFtt93WYHmfPn3w119/OdzOYDDAYDDYftdqtQCqh6tbrdYWtLxtWa1WCCE8uo3kGXitkKt4rZArJBIJxo8fj8rKSkgkEl4v5BDvKV2XUiaBFECRtgpBfl62pFeVBhOUcimUsr/vHUqZBEq5FAa9Gd61hiDbW5fczyoEMnNKkZqZh7TMPJwr1jld30suRR+NPxKigtAtSI0qgxn9o4MR7OvVrM+1o9xXXG2f24PuuLg4nD9/HpWVlVCpVHj55ZedJkSrqKhAUFDDOR/BwcEoL3dc5+3FF1+0DUmvraCgAHq9vnmNbwdWqxVlZWUQQkAqZYIJcozXCrmK1wq5Kj4+HmVlZSgqKuK1Qg511XuK0WSB0WKFUiaFUtE5Miw3hcVqxbkiHcpKSlCg1cNbKUOwrwq+KjmqjBb0CPWDtrQY2lrbhChNOFtUDgEJVAoZDGYLdAaz3XWp/ZmtApnny7H3dCn2ni5Fqc7kdP0gHwWGxwRiaEwAfBRSFFfoYbaYIDGUI8bfG0FyPfLz85vVlo5yX3EWf9bm9qA7MzMTAGCxWHDkyBEsWLAAf/31Fz744AO76/v6+qK0tLTB8tLSUvj5+Tk8zmOPPYaHHnrI9rtWq0V0dDTCwsLg7+/fspNoQ1arFRKJBGFhYR59wZH78VohV/FaIVfxWiFXdLXrxGyx4uh5LbILy2EwWeClkCE61Bux3fy7VAbu9LOlyNLqEBIaDpm3AedLKpFXaEJ0iAqjY6Psvh+BQcGAAIpMClSYrVCqZIiP8uty750n0Zss2HuiAGlH87DzWAEq9M4D7agQHyTFRSApNgL9IgMgrZVxXG802/4mWjpVoKPcV1ytnuX2oLuGTCbDgAED8O677yIpKclh0B0bG4vjx483WH706FHEx8c73L+Xlxe8vLwaLJdKpR79QQLVQ/w6QjvJ/XitkKt4rVBjhBAoLCxESUkJwsPDea2QU13pnnLsXBmOnC2pztbtp0SV0YwjZ0sgkUi6TAZuvdGMs0UVCPDxgr9aiWA/FaJCfVFUboBcKkFfjT+UioZhhlIhR0y4HwYGBrNOtxtpq4zYeTQfqZm52HuiAAaz8yHS/boFIDleg+S4CPQIc9zJqVYpoW7FPGkd4b7iats87io/d+4cAgICbL9brdY6JzNjxgx8/PHHWLBggW2ZwWDAjz/+iE2bNrVrW4mIiDork8mEZcuWAQAWL14MmazrDZ8lqq8p2bo7M3sJ1JRyGUL9VC4lRVMp5VB7cCDVGRVq9UjNzEVKZi7+PF3stLSXVAIM6BGM5Pjq0l7hAUyE1lJuvStcccUVuPPOOzF16lTI5XJs374d8+bNw5NPPgmgujzYfffdh9OnT9sync+aNQuvvfYann/+eTzyyCOoqKjAggULcNlll2HAgAHuPB0iIiIi6sSakq27M7NXsxkAdEZz9dDiLjjHvb3pjebq683JaIHsworqQDsjD5k5pU73p5BJMbx3KJLiNRgTG4EAtdLp+tQ0br0rPPjgg3jrrbdw1113wWq1Ij4+Hu+99x4uv/xyAIBarYavr2+dp+sKhQKbNm3Cgw8+iIiICMhkMtx222148cUX3XUaRERERNQFMNisVrtms0D1Qwed0QytzoiE6OAu8eDBXcwWKzJzypBdWG4LuqND/RAXGQCZVILjuVqkZOQiJSMXZwornO5L7SXH6H7hSI7TYETfMHjzc2szbn1nJ0+ejMmTJzt8ffr06Zg+fXqD5REREVizZk1bNo2IiIiIqA4Gm3+Li6yeDppdWI7iCj28FDIkRAfbllPbyMwpQ3p2cXVOAV8VKg0mbP7zLP638xQyc0qRX1bldPsgHy+MjYtAUlwEhvQKhYIJ7NpF17kzEBERERG1EIPNanKZFInRQegT4dfoMGdqHTU5BXy85DhfqsORs6XIzCmFzmB2ul23IDWS4iKQHK9BfPcgyKQSp+tT6+NfBhERERGRixhs1qVSyrv0+beXSr0JWw7n4Me9Z5BdVAFjIxnHe0f4IzkuAknxGvQK94NEwkDbnfgXQkRERNSFuJKAiRrHYJPaWkmFAWlH85CSkYsDpwphtjrOOA4A/bsHYnxCNyTFadAtSN1OrSRX8E5BREREDchkMowdOxaVlZUsF9ZJOEvAJOe8TiKPkFuiQ0pmdSK09OwSOAuzpRIJeoT6IirEB1MGR2FMbES7tZOahkE3ERERNSCTyTB58mTk5+cz6O4k6idgqjKakZ5dDABIjA5yc+uIuiYhBE7llyM1IxcpmXk4mad1ur5KIUNc90BEBqkRGaSGv1ppe3hGnotBNxEREVEnV5OAKUCthP+F+rsKuRIC1QnB+kT4cag0UTuxCoEjZ0uQmlk9dPx8ic7p+v7eCoyJrU6ENqx3KJRyGaeJdDD8hIiIiKgBIQRKS0tRXl6OsLAwdzeHWkhvskBvsiDEV1VnuVopR3GFvvrLO7+4E7UZk8WKg6eLkJKRix1H81BcYXC6fpi/CsnxGiTFaTCgRxBk0rpTQJhToGPhJ0VEREQNmEwmvP322wCAxYsXc4h5B6dSyKBSyFBlNEMhV9qW64xmeF14rTl+/fMswv1VCFc1vm5r+vXPs4gIVGNgj+D2PTBRE1QZzdhzvAApmbnYdSwflY2U9uoR6ovkeA2S4zXoq/FnxvFOhEE3ERERUSenUsoRHeqH9OxiCFT3cOuMZmh1RiREBzerx+z4+TKs230aJrMVj03v2/qNduG4b9yR3OwHBq2BQ3y7Flc+7zKdETuO5iE1Ixf7ThU2WtorLjLwQqAdgagQ37ZoNnkA3h2IiIiIuoCaREvZheUortDDSyFDQnRwsxIwCSHw0eYj+NdVQ3DkbAnW7TuP+ZGa1m6y0+NmnCvFF9uO4Y5J8W1+3PqYCb5raezzzi+rQlpmdSK0Q1nFsArHOcelEgkG9QxGclz10PFQ/3YeJkJuwaCbiIiIqAuQy6RIjA5Cnwi/FvfOSiQSvHzLGABA92A1BmkUrdlUl44bHeq+XkFmgu9a7H3eKRnn8eufZ3H8fBmOni9zur2XXIrhfcKQFKfBkJ7BUMhlHB3RxfCTJiIiIupCmICpZZgJvmup+bz9vRXQVhmx83g+Ms6WorBc73Q7X5Uco/tFICkuAiP6hEEukyIzpwx7TxZydEQXxDsCEREREZGLmAm+6zBbrNh9ogC/HDyLrMIKlFeZnK4f7OuFpLgIJMVrMDgmpE4wfTi7hKMjujDeEYiIiIja0Z9ZRVi55Si0OiMsVoHuwWrcNK4v9p0shFIuxczk9ktK1lyVehPe23gYu48XQCIBJsSF4N5p4e1+3OnDYnDbxNg2Py4AbE8/jy/+OA6T2QKJRILLBkchqtYQd3uZ4Gu2MVusCPVXYdGMQQgP8AYAaKuMWLvzNHYfz4fRbIVcJsFN4/pifP9u7XI+ZJ/BZMHekwVIzcjDjmN5jQbakUFqW8bxuO6BkNrJOM7REcRPl4iIiBqQSqUYMWIEdDodpFIOfWwtp/PL8cK3+/HUzOGI7x4EIQT2nCjA/pOF7m5ak7z901+QSSX47IFLUKjV4Z4PtuO65CpEBPq023GLy/W4+4NtmDYsGmH+3m163Ixzpfgm7SSW3joGft4KfLvjJL7bcQq3TugHHy+F3Uzw9bfZc6IAz36zF2/dmQyJRIKsggqE+HnhtduToJBJUaCtwuJVO9EtUI2+3Zqe3I6ar0Jvws6jeUjJzMOeEwUwmCxO1w/3VyE61BeTBkbhkoGRjZb2asvREcyg3zHwkyEiIqIG5HI5pk2bhvz8fMjl/LrQWvaeLEBCVCDiu1cPJ5VIJBjZNxwj+4Zj1dajbm6dayr0JqRk5OLzBydBpZChW6AacpkEpkZKIzly8HQRVm87iv/eNrZpxw2qPm5jJZlaw5o/juO2ibHw865OGHfVyJ7YcTQPp/PL0S1IbTcTfP1tRvQJw0/7zmDvyUKM6BOGgT2C69QZD/P3xpjYcBw+W8Kgux0UleuRdqG014HTRbBYnWUcB3qG+yM6xAfRoT4I8/e2zcd2pZa26sIIiCqjGQq50rbc3ugIVzGDfsfCf0WJiIiI2kn3YB+s2noUO47mYUxshMP1TuVp8f6mdJRUGKCUS3HrhFjb+qu2HkWgjxd2HsvD+RId/FQKLLh8APpoAmzbfvjrEZRVGiGVSjBnYixG9m049FurM+Kfn6U5bMP0YT1w1aheDZYfOVuCyCAf2zDZjJxSSABEBLZtb3OD454rhUQigaYJx23uOR/OLsaSG4bZfpfLpLhkYHeczivHhMRIu72M9bcBgBF9w7DvZAFG9AlrcAyL1YqDp4swb3LbD9PvjFzp8T1XXInUjFykZOYi42wpHIfZgEImxdDeoUiOi8CY2AgE+ng1u1dZpZQjOtQP6dnFEKju4bY3OqIpmEG/Y2HQTURERA0IIVBZWYmqqioIJzVnqWnGxEbgtgmxePPHQ3h/42GM798NExIj0a9Wz2aZzoh/r9mNx68disToYOSV6vDY57vg561AYnR1z+jXqSfw1I0j0Efjj8PZxXj6671Ydu9FMJqt+O+6g/jPjcMREahGUbke/1q1AzFhfra5xDX81Up8eO+EJp/DyTwt+mj8IYTAyTwt3vrxL1ySEA5ZG09DqH/cN344hCuGxzTpuM055/IqE5QKWYPjBPt6Yd/JQgT6eDV5m/r0RjOWrj2AnuF+GNIrtEnt6+qc9fjKpBKczNPij4xcpGXm4VR+udN9qZVyjOoXjqS4CIzsGw61V91QqSWZ/2tGQWQXlqO4Qm93dISrOEe84+GnQURERA2YTCa89tprAIDFixdDJmv68Eey79oxvXH16F44crYE29LP45HP0jB5UBQCLnx53nQwGxMSutkC7IhANW6/JA7/23nKtuzixEj00fgDABKjgzEwJhg7juahsFyPMp0RT32913Y8k8WKzHOlDYLu5jqZV47YyAC8+v2f+OXgWfh7KzCuXw8A1QHQwyvTcKawAvOnJmLSoKhWOaaj404e1B0AUFJhwNPf7IFcKoVVCDxw+UD0DPdrleMazRY4GkDsaHlTtjlTWIEXv9uP5HgNZo33/CR6nqZ+j2+lwYTf/jyLdbtOISOnFHmlVU63D1ArMTYuAuPiNRjcMwRKedvc6+QyKRKjg9Anwq/Fc7CZQb/j4adBRERE1M6kEgkSo4ORGB2MaUN74L4Pt2N8fw36aPyRU6xDfPfAOuv3CPVFbq3goXtI3YRl4QHeKCzXI6dYh5vG9cUVI2IabYNWZ8Ti1Tsdvj5taDSuHNmzwfKTeVpMGxqNa0f3wh2XxOHL7cfx2sbj+KRvNI6e12J8fw32nyrE4ewSaIJ87M4xfXvDIfz+Vw4AwGIVMJqtuHbpRtvrz9w0EgNqzXe2d9w1f5zAkjW7sXLBJfBXK/Ha3CRIJRIcPF2Er1KOY/E1Q1vlnAPUSlTqzbBYBWTSv0PmonIDwhw8yHB1mz+OnMeK3zOxcMagBufbVJ6WUKs92lPT4+vjJUduqQ5HzpUi81wpKg1mp9tFBHojOU6DpHgNEqKC6nxGba0lveW2fbTBHHFqW+7/iyQiIiLqInQGc4MhqzFhvlApZTBZqhOChQd440xhRZ11zhRUoFuQ2vZ7/dxNp/PLMWVQFExmKzJzSnEF6gbd9o7rr1bi/bvHN6n9RrMF54or0VvjD4lEgmBfFUb1C0NqxnkcPa/FkbMlCFAr4a2UQyqBwzmmCy4fiAWXDwTgWiI1e8cd3S8cO47lAUCdoKlSb0LvCH+7+2nOOctlUvTR+OPg6SIM6/330O99JwsxdWh0s7fJLqzAJ79l4r+3jUGIn8ruflzhaQm1nLWnNWNbncGMrYdz8MPeLJwprGg0oV6vcD8kxWkwok8ougWp4d0Kwa+7tMUccWpbTG1HRERE1E6+23kKyzalo0xnBFAdoHy25SiiQnzQK7w6ULxsSBS2HzmP9LMlAIDcUh1WbsnEdWN62/az+3gBqozVvXkpGbk4V1yJUf3CcdmQaOw9UYBdx/IBVA9DXbYpHftPtU5JsqyCClisAtvSz0MIgfyyKny+7TguigupM8dUJpXA20sOf7WyOvgyOu95dEZvNOOvM8UNjrtq21FMH/b3w4WsgnIs/DQF7248jIExIa1xujY3jeuLz7ZkolJfXbN517F8FGir6iREe+Hbffgzq8jlbdbvOY25F8e1KOAG/h5eLZVIEOKrglQiQXp2MTJzylq0X09sT2mlAd/vPo1/fZaGG1/9BW/8eAjHc7UOA+64yEDcNSken9w/Ee/cNQ7D+4ThTGEFtqafx5bDOTicXQKzpe2z37eFuMgAJEQHQwiB4go9hBDNniNObY+PQYiIiIjayZUjYvDtjpP412c7IJEAQgBDeoXghVmjsXbXKQBAsK8KL84ejQ82HkZ+mR5SqQTzpvSvM+RcKpFg8aqd0FYZERHojadnjoRcJkWInwr/vW0M3tuYjmW/pEMpl+GyIVEYG+c4U3pTnMzTIjrEB//bcQof/3oEgT5emDokCsO7e+Fwvhkhfso667dkjmntHtMDp4sQ7OuFNX8ctx132tBo3Jj094OImDA/vHF7Mk7kavHmj4fw1p3JrXLOQHW5r7JKA/752Q6YzBZEBKqx5PrhddY5U1hhe5jiyjbZhZXYe6IQq7fVLRU3vHcY7rk0waV2eVpCrcba0yus6XXc80p1SMnMQ8qR8zh8tgTO8jpKJUB0qC+ign0wZXB0nev+cHZJp8r23ZpzxKnt8ZMhIiIiaif+aiVuvyQet18S3+C1WyfE2v6/e7APnr15lMP9DO8TiksH2x/aHBXiixdmOd62JU7maTE2ToM7J/3dfqvVirPnzsNLIZo1x3RwzxAM7tlwaHntBFmVehP6aPwxOCYECdHBDYIko9liS4Dlq5LDS9H6gzknDYpymhjug3suatI2L90yusVt8rSEWo21x2CyNLoPIQSyCiqQmpmLlIxcHM/VOl1fJpWgZ5gf+nXzR/fg6pJyNcPZbe3ysIcTrak15ohT2+MnREREREQuOXVh7nh9SoUM0aHeOHK2BN/vyUJ+WRXkMim6Balx+yXxTQ4K6gdJBVo9hvQMsQ1Xrx8kHc/V4pPNGba57ndPca2nuKPztIRajbXHSyGDwc52ViGQea4UKRdqaOcU65weRymXonuwD8L9veGjkiMhKgjj+2sAicRuj6+nPZygrodXFxERETUglUoxaNAg6PV6SNu4/jI1Te0e8fZ2Kk+LmDBfu6/FdqtOcubnrYDBZIFXrQRaTVU/SMorrUJYgLfDICkhKgivzHGciK2z8rSEWq60p6bf2myx4mBWEVIzcpF2NA9F5fbC8b+pveQI8fVC7wh/dAtSQyqRwGyxokxnRIXeBEgkdmumA9UPA2QSCYrK9Qj287KNimC2b2ovDLqJiIioAblcjquuugr5+fmQy/l1gap9889LHb7WmnNM6/eYLr5mCACgTGfsUEFSe5TNqnmokV1YjuIKPbwUMrcm1HLWHr3Jgj2nSpC+4zx2HstHhd55gr3oEB8kxWswsk8YTuVpcTS3DD5KBaQXhjQYzVZYhYCvSuHwmjBbrDiRV44CbRWyCivg561AZJAPgnyUqNCbu0y2b08rKdfV8B0nIiIiolbTKnWIPawHt6lcKePV0iCo9vaelFCr/sMXk9mCA6eL8X9pJ7D3RAEMjZT2iu0WgOT46hraPUL/HlUhlUqRVViBonI9zFYlIICyKiMC1Er01gQ4POea3ADdgnygUspxvrgSR3NKER3qizGxmk6f7dvTSsp1VZ59xyIiIiK3EELAaDTCZDJBOEsX3IWx56hteVoPblPUTgJXP1N2XGRAi4IgZ0FUoIdch4VavS0R2p9ZxbA6uYdIJRIMjAlGclwExsZpEB7gbXe9uMgAWKxW7D6ej/yyKgBAZJAaI/qGO7wm6ucGCPL1QlSID4rKDZBLJegT4dfpA09n12JHzNreUXnGXyYRERF5FJPJhJdffhkAsHjxYshkHWM4b3tgz1H7aO2SSO31kKSxTNkGkwUncsuaHQR5ahCVXViTcTwPmTmlTtdVyqUY1jsMyfERGNMvwvY+OSOXSTEoJgSx3QJQWmmonsOtVjr9LO0lUFPKZQj1U3WJBGqdOWt7R8N3mYiIiKgJPDXo6axaOly9vR+SOMuUnVemg86gbXYQ5ElBlBACx3O11RnHM3JxprDC6fo+XnKM6heORI0KlwztAx9V44G2PSqlHBoXz9HTsru3N2Zt9xx8l4mIiIhc5ElBD7mmvR+SOAv0pBIJLFYB73rXiKtBkKtBVFv16lusVvx1pgSpmblIzcyzDfN2JNjXC2NiI5Acr8HgniGQSYD8/PwG599WOnpugJbq6g8dPEnnvtKIiIiIWlFTe4668rxvTzh3dzwkcRbo9dX4I6+sqtlBUGNBlFwqweHsklbt1TeaLdh3shCpmbnYcTQfZTqj0/W7BamrE6HFRaB/VJAt0zgAWK3Ok6i1hY6cG6CluvpDB0/Cd5qIiIjIRa72HHXled+edO7uGl7rLNBTXuh5b04Q1FgQlVVY2Sq9+pV6E3Ydz0dKRh72nMhHldHidP1e4X4YdyHjeK9wP0hqBdru1tq5ATqarvzQwZN0nSuOiIiIqIVc7TnqyvO+Penc3TW81lmg19IgyNH2MaE++CMjt9m9+iUVBqQdzUNKRi4OnCqE2eo447gEQEJ0EJLiNEiO16BbkNqltrtTa5Sy64i6+kMHT8F3nIiIiKgJGguauvK8b08796YOr23tIfH2Ar2WBkGOti+tNDS5V/98iQ4pGblIzcxFenYJnBUHlEslGNIrFMnxGoyJDUdwveOQZ+uqDx08Bd95IiIiakAqlaJ///4wGAyQSjv3cOimaixo6soZgz3x3F3pWXbHkPiWBkH1t3elV18IgVP55UjNyEVKZh5O5mmdH0Mhw8i+4UiOj8CovuHwUSma3V6irqxz3vGJiIioReRyOa6//nrk5+dDLufXBXscBU1dOWOwJ567Kz3LnjQkvrkc9eqXVRqg9lLgs61HkZqZh/MlOqf78fdWYGxcBJLiNBjWOxRKeee9XonaC/8VJSIiImpFnpgxuL0yiXviuddum73je9qQ+Jao6b0/nV+GA6dLkVVQgdMF5SivMjndLsxfdSHjuAYDegRBxtEtRK2qY9xBiIiIiDoQT8kY7I5h055y7q5qyyHx7Vk2rcpoxp7jBUjJzMXOo/nQGc1O1+8R6msr7dWvW4BHZRyn5vOEUn3UED8JIiIiasBoNOLFF18EACxevBgqFZMmNYWnZAx2x7BpTzl3Z+oEJm0wJL69HnaU6YzYcTQPqRm52HuyECaL8zrY8d0DL2Qcj0BUiG+rtYPcz5NK9VFDnnUHJCIiIupE3Jkx2N3Dpp0N53ZXMO4oMIkM9kHmudJWGxLflg878suqkJqZi5SMXPx1phhOKntBKpFgUM9gjIvXYGysBqH+HfvhGXtxHesMeQk6M16tRERERJ2Qp2US94SeOEeBSVz3QCREB7fKkPi2eNhxpqAcKZnVPdpHz5c5XddLLsXwPmFIitNgdGw4/L2VTtfvCDzh2vFk7n7ARo3ju09ERETUCbVlJvHaPY5KuWtBj7t74pwFJjnFlZiYGNkqQ+Jb42GHEAKZOWUXSnvl4mxRpdP1fVVyjO4XgeR4DYb3Cet0GfLdfe14Ok97wEYN8d0nIiIi6oSamknclaG79noco0J8ESR3PpfYE3riXAlMAn28WtyO5j7sMFusOHSmGCkZuUjLzENhud7pcYJ9vWwZxwfFBHfaHl9PuHY8nSeW6qO6uvYVSkRERNSJuZJJvClDd+31OB7JLkaMP9BN47gdntAT116BSVMedhhMFuw9WYDUjDzsOJbXaGmv7sE+SIqr7tGO6x4IaRfIOO4J146n8+RSfVSNnwARERFRJ+VKJnFXh+466nG0CoECbRn0RjPUKvvzhz2hJ649AxNnDzsq9CbsPJqHlMw87DlRAIPJ4nRffTX+th7tmDDfLlfayxOunY6go5Xq62oYdBMREVEDUqkUffv2hdFohFTaOYettjVPyrTsLJO4q0N3nfU4lpRbYTBZoHaQHNtTeuLaKzCp/7BDZzBj78lCrN52FAdPF8HiJOW4VAIkRgcj6UINbU2gulXb1tF4yrXj6TpCqb6ujJ8EERERNSCXy3HzzTcjPz8fcjm/LjSFJ2ZadvQAoClDd531OMplUng10uPoCT1x7RmYnCuutCVCO3K21Om6CpkUQ3uHIjkuAmNiIxDo49UmbeqoPOHa6SjcWaaQHOMnQkRERNSKPCnTcmMPAJoydNdRj2O5zogYf+9Gv+i3ZcDb1FEFbRGYCCFwMk+LlIw8pGTk4nRBudP11Uo5RvULR1JcBEb2DYfai1/LHWEvLnV0vFqJiIiIWomnZVpu7AFAU4fu2utx7B8djCC580zbtbVmwOvuUQUWq0D62RJbj3ZeaZXT9QPUSlsitME9Q6CUcz5yU7AXlzoqXrVERETUgNFoxCuvvAIhBB5++GGoVA4m63YhrvSmelKmZVcfADRl6K69HkelXIr8/PxWbbervZnuGFVgNFtw4FQRUjJzseNoHkorjU7Xjwj0RnKcBknxGiREBUEm7VqJ0IiIQTcRERE5YDI5L1/UVTSlN9WTMi27+gCgOUN3a/c4Wq3Oa3S7qqm91u05qkBnMGPX8XykZuRi9/EC6Ixmp+v3CvdDUpwGyfER6B3h3+UyjhNRXQy6iYiIiJxoSm+qJ2VabuoDAHcP3W1qr3VbjyoorTRgx4XSXvtPFsJkcfxwQQKgf1QQkuIjkBSnQfdgn2Yfl1zjSdUBiBrDK5SIiIjaXUf5wtyc3lRPybTsSQ8AGtOc97ktRhXkleqQkpmH1IxcHM4uhpPKXpBLJRjc6++M4yF+nILRHtw9j5+oOTznbktERESdXkf7wtyc3tTmDNcurzJh3a5TmDasR6sGb019ANBW7WhMc97n1nioIIRAVkEFUjJykZqZi+O5WqfreylkGNknDMnxGozqFw5flaLJ50ot40nVAYhcxaCbiIiI2k1H+8Lckt7UpgzXfn/jYZRXGXE8V4unZo5ocbtrNPUBQFu1ozHNfZ+bM6rAKgQyz5VeCLTzcK640mnb/LwVGNOvOuP4sN6hjdYjp7bjadUBiFzFq5KIiIjaRUf8wtweQ7R3HstDldGMZ28ehVfWHcRvh87hkoHdW974Wlx5ANAe7XDWvsbeZ3tTElx9qGC2WHEwqwipFwLt4gqD0/aE+quqS3vFaTAwJhgyqeeNwuiKPKk6AFFT8KokIiKiBiQSCWJiYmA0Glst83JH/cLc1nO0R/eLwOh+EQCAf141uFX22RHb4eh97hPhh8PZJU6nJNh7qKA3mrHnRAFSM/Ow81geKvTOM45Hh/ggKV6D5HgNYrsFMOO4B/Kk6gBETeF5/7IRERGR2ykUCtx2223Iz8+HQtE681Y76hfm5szRpqZz9D4fzi5xeUqCtsqInUfzkZKRi30nC2AwOy9nFtstAMnx1TW0e4T6ttm5UevoSMkBiWrjlUlERETtoqN/YXZ3Sa2uovb77MqUhAq9GamZuUjJzMWfp4thFY5TjkslwIAewdWBdpwG4QHe7XFK1Io8pToAUVPwXw4iIiJqVZc9+yO+fngKAtTKBq/V/sK850Q+QvxUGN4n3CO/MKdm5CIi0Bt9NG3btk0Hs/FN6knkleoQHuCNeVP624Z5t6e2bIerJeKEEPjjSC5+OpCNk7lamK1WhPh6YdrQHragGwCqDGbsP1WI7/dkNZpxXCGTYnjvUCTFazAmNqLOdfn6D3/iyNkSfHjvhJafJLULjjyhjohXKBERETVgNBrx5ptvwmq14sEHH4RK1Trlo2p/Yd53shAhfiqPzFoOAKmZeRjUM7hNg+7tR87j3Z8OY+GMgYjvHoS1u07hrQ1/4fMHWxbsPvJZGh6+cjA0gWq3tqOpJeIqDWas3X0at17UDwnRQagymPHmhkNYte0oZgyLwZmiChw7X4YCrd7pcZVyKSQA/NVKfHTfBHjbCcr+OHIee04UwMeLX4c7Io48oY6EqRiJiIjILp1OB73eeXDTXCqlHEq5DAp51/4q8t2OU7huTG9cPKA7ugWpMapfOKoMzhN+tXU7gnyUSLwQ8LZUTYk4qUSCEF8VpBIJ0rOLkZlTZnd9Hy85XrltDIb0CoVMKsGJPC0qqsyo1JuxJvUEUjPzHAbcwb5euHxYDyy+eggiArzx8JWDofaS2w24i8r1WLnlKO6e3L/F50hE1Bg+HiIiIqJWt+lgNorKDUiMDsLK3zNRXFH9//OnDUBEoBrz3t+Kc8WV2HI4B+/+dBiLrx6CpHgNynRGfLDxMHYdz4dEIsGUwVG4a1J/yKQSbDqYjaM5ZZBIgN8OncP4/t0wb0p/fPxrBlIycmEyW9G3mz9umxCLgTEhAOBwf5sPncWJXC26BanxdeoJVBksGJ+gwT+mDoBKIXPYvvquXboRFqvjOcS3XxKHq0f1svuazmBGxrkS3HPp34Hf3hMF6KPxb+G73zQ17bhzUrwtS/hvf51DkK8XDmeXOOyVdqT2e1Lz39qJwJPiNPDzVtgtEWeyWLHvZCFSMnKx42getFUmp8fqFqSuLu0Vr0H/qCBIADz2+S7Mm9IfKoX9r7lCCPx33UHcNTne4TpEjXF1ygQRwKCbiIiI2sj+k4U4kVuG524ehWA/L3yx/Tie+3Yf3r5zHD66bwJeWXcQg3oG49LB0QCqA67HVu/EgB7B+PzBSagyWvDct/vwTeoJ3DSuL4DqYDspXoMvFk6GRAIsXrUTPcJ88dF9E+CrkmNb+nn8+uc5DIwJcbq/YD8vpB3Nw4DoYCy7ZwLMFite+/4g3t94GItmDLLbPnu++9dlzX5/TuZpIZFI0DvCH3qTBb//dQ7rdp3GkzcOb/Y+W9IOs0XgyNkinCuuxKGsElw1MsZhlnBnat6T0koDthzOQYivqs6IBpPZWqdEXKXehF3H85GSkYfdx/OhN1mc7j/UT4W+3fxxc3JfxHUPrFPa65u0E4gK8cHofhE4eLrI7vb/t+Nko+sQOdLUKRNEAINuIiIiaiP5ZVV4+dbRCPTxAgDMmRiL9btPQ1tlhL93wyRr2w7nwCoE7rssARKJBCqlHPdemoAn1+y2Bd0CwPypifBSyLDlcA6qjGY8OH0gpBcCr4sHdMe4/t0a3d/tl8TBbLFi4YyBUMqrS5U9fOVgzHn7d9w2IRYhfq0zh92ZE3laRIf44tj5Mjy0Ig0AkByvwci+4bZ1dhzNw0e/HIEVAjcm9cG0oT3s7mv11qP4bucp2+9VRgvuW7bd1sPsr1ZixfyLHbYjKtgHe0/m4+vUkwCA/lGBGNQzBOVVJqRnF+GTzUegrTJBJpVg1vh+uCihW6Pn56xEnNlqxdbDOdh1vAAHThXC7GS0AABEBfsgsUcQ4rsHwU+lQHGFHpogdZ2A+0RuGX47lIM3bk9yuB9X1qGW6ew9wDVTJlwpYUdUo/P9JRAREZFHGNAjyBZwA4BEIoGvSgGdwWw36D5yrhRniypx3X831VluNFtRqa8eZjwgOsj2Rf6vM8UY2TfcFnDXUFzobXK+PzMSooJtATcABPp4ISrEB2cKK1ot6HYWgJzM1aJvN3/0DPfDm3ckIz27GCu2HMXn247h1gmxsFit+PCXI1h66xj4qOSY/9EfSI7T1MniXeOWCbG4ZUKs7femJFI7matFTLgf/LwVuP3iOOSUVOK3QznYejgH4+K7oai8CrdOiMWQXqEortBj/sd/YFTfsEYDqvol4gxGCw5lFyPzXCnyy6rgLMyWSaqT7nUP9sGUwd0RGfx3De0ynbFBXXeDyYJX1v+Jh68YBC8H9d5dWYearyv0ALtSwq4zPmigluNVQURERG0iQO3V+Er1XDu6F+6YFN9q+3S0v00Hs+sEbTUMJgusjfS61nbDK5sczum2WAXGxoYjPirIbgByIk+LSQO7w8dLgfjugYjvHojsokpknCsFAGScK0VMmC9C/asfAIzoG4a9Jwtw8YDuLrfPFSfytJiQ0A1+3gpIJRL0DPdDUbkBZ4sqoTOaEeyrQnz3QABAsK8K/t5KaKtMDoOL2u+JVQiYzFZYrMJpkA1U94yP7BuO8AAVth4+j8evGwqgOvFamc7otK770fNlOFdUgX+t2mFbZrEKGM0WXLt0I4b2CsXVo3s1us6SG9p3aH9n0hV6gPUmC/QmC0J86z6UUyvldaZMENXHq4KIiIgakEgk6NatG8xmc50hvG2pf/dAfL83q8FyR8PRB0QHY03Kcdx+SVyd3m6j2QKlXOZ0f/acK6pEflkV+nVzvUTYN/+81O7yw9kltgDEWylvEIBYrFZkFZSjR6hvne1O5Wkxql/18PLickOdHvdQPxUKy1s3m3xNO3pHxEGllNt6pc+X6NAzzLdBgHvsfBmsQiA8wNvu/qxC4KmZI5CSkYvUzDycL9E5Pb6Plxw9w/3QI9QXfTX+CA9Q440f/8SLs0cjJswPZosVQHUvYnGFHl4KGRKigxHbrW6yuYE9grH+sWl1lh08XYR3f/6rTg1uV9ahpusqPcDOpkzUH31BVFvHv/qJiIio1SkUCtx1113Iz8+HQqFok2OolDKcL9bZehsnJEbiu52nsOyXdNw8ri/USjn2nCjAit8z8cE9FzXYfnyCBmt3ncLr3/+JOyfFw89biR1H87DnRAEenD7Q6f6uHdMLO4/lISUjF2NiI5BbosNLa/fjypE9bUFD/fbZKz1ljysBSG5pFYxmKz7ffgwBaiW8FDL8sDcLeWVVmDrUceK21pZdWGlrxz1T+iPU3xsbD5xBSYUB04dFIz4qGHGR1Q8htFVGLF17AAtnDKyzD5PFikPZZUjfk4+0o/koqTQ4PWaYvwrJ8RpEBvlAbzQjyNfL9mDi5/1nkBAVjJgwPwB167rXHqa/5MtdCPX3xoPTBzo9FrWPrtIDXH/KhLPRF0S18cogIiIit7hsSDSe/b+9WLv7NP59/TAM7x2GF28ZjY9+OYLb39kCABjaKxSPXzfM7vYyqRTPzxqFjzdnYN77WwEAsZGBuOWifgCqAzZH+8s4V4J+kYHYcjgHr6w7CJVShunDYzB7fF+n7XOFKwHIidwyBPt6QSmX4eGVaVApZUiMDsbLt45B8IXtgv28UFSrZ7uwXI+4yECX2vDf28a6tF7tdvxr1U6olNUjBJ6bNRJ9IvxtQYTRbMHTX+/FzOQ+SIwORpXRjD3HC5CSmYtdx/JR2UhN7x6hvkiO1yA5XoO+Gn8YTBZsOZwDb6VXnQcTepMFB07n46qXfm6wjytGxOCuC3W1vZVyqJTsVfQUXakHuOYhVP3RFzXLieyRCCFcn7jUiWi1WgQEBKCsrAz+/u1bD7MprFYr8vPzER4eDqm0cyShoLbBa4VcxWuFXNWZr5VNB7Px5+li/POqwa2+b73RjC2HcyCVSOokPSvTGSGEwMTESHy29SjOl+jwnxtHONyPxWrFXe9vxX9vHWtLpPb67Ul2E6k114e/pDfaDiEEXvrfAYT6q9Aj1BepGbnYd6oQRrPV6b7juwciKU6D5PgIRIXUHUbfWDmxCYmRdZLwkeermVLhr1Y26AGumdPdme4pnT1Lu7t1lGvF1ZiSVwgRERE1YDKZ8O6778JisWD+/Pnw8urYAVB7fkF2ZQjqiTwtEqOCne5HJpXi7skJ+NeqHbCK6pJhrRlwA2i0HfllVfhux0lsOZzT6L6kEgkG9QxGcpwGSXEaWwI4e7pSz2hX0dV6gFVKOYNtchmvFCIiImpACIGysjLb/3dUjsoYOco43loaC0BO5ZVjxvCYRvczNi4CY+Mi2qyd9tpxpqAcKZl5SM3IxdHzZU6395JLMax3GAZ088aU4X0Q4ONaqTXOje18HM2/JyIG3URERNSJOSpjlBAdjGlDe7TZcRsLQL5+eEqbHbspvn54CoQQyDhXitSMXKRk5uJsUaXTbXxVcozuF4HkeA2G9wmDUiZBfn4+/OxkmHemq/WMdhXsASZqiH8RRERE1Cl5QhkjTw1AzBYrDp0pRkpGLtIy8xotRRbs64Xk+Oph44Nigm21xoHquZfNwZ5RIuoqeGcjIiKiTqmrlDFyld5kwb4T1RnHdxzNR4Xe5HT97sE+SIqr7tGO6x5YpxZ6a/LUBxNERK2FdzgiIiLqlJisC6jQm7DzaB5SMqvrlxtMFqfr99X423q0Y8J8IWmjQJuIqCth0E1ERESdUldN1lVUrkfa0TykZOTi4Okip0njpBIgMToYSfEaJMVFQBOobseWEhF1DZ3zXxsiIiJqEYlEgtDQUFgslg7d29lVknWdK6pESmYuUjNzkXG2FM5ysytkUgztHYrkuAiMiY1gPWwiojbGoJuIiIgaUCgUuO+++5Cfnw+FQuHu5jRbZ03WJYTAiVwtUjJzkZKRi6yCCqfrq5VyjOwbhuR4DUb2DYfaq+O/B9Q87Vmznoiq8S+NiIiIOr3OkKzLYhVIP1tiK+2VV1rldP0AtRJj4yIwLl6DwT1DoJR3/jns5JijmvVxkQF1stETUevr2P/6EBEREXViRrMFB04VXcg4nofSSqPT9SMCvZEcp0FSvAYJUUGQSTvu1ABqXY5q1gNAYnSQm1tH1Lkx6CYiIqIGTCYTPvzwQ1gsFtxzzz3w8uK83/aiM5ix63g+UjNysft4AXRGs9P1e4X7ISlOg+T4CPSO8G/xHHwOP+58PKFmPVFXxr8uIiIiakAIgcLCQtv/U9sqrTRgx4WM4/tPFcFksTpcVwIgPirQVtqre7BPq7ShIw8/5oMC51iznsi9+NdFRERE5Aa5pTqkZlYH2unZxXBS2QsyqQRDeoYgKV6DsbERCPFTOV65mTri8OOO/KCgPbFmPZF7MegmIiIiagdCCGQVVCAlo7q01/FcrdP1vRQyjOxTnXF8VL9w+KraLot8Rx1+3BEfFLhDV61ZT+Qp+BdGRERE1EasQiDjXKkt43hOsc7p+n7eCoyJjUBynAbDeofCq416IOsPx+6Iw4876oMCd+kqNeuJPBHvREREREStyGyx4mBWEVIycpGWmYfiCoPT9UP9VUiKqw60B8YEQyZtu2HRjoZjx4T6dLjhxx3xQYE7ddaa9UQdAf/SiIiIiFpIbzRjz4kCpGbmYeexPFTonWccjw7xQVK8BsnxGsR2C2hxxnFXORuO3dGGH3OecvN0hpr1RB0N/+KIiIioAYlEgoCAAFgslnYLCDsabZURO4/mIyUjF/tOFsBgdpxxHABiuwVUB9pxEegR5tdOrfxbY8Oxx8VrALTf8OOWZhznPGUi6ih4NyIiIqIGFAoFHnjgAeTn50OhaLsEXh1NgbYKqZl5SM3IxZ9ZxbA6KacmlUgwMCYYyXERGBunQXiAdzu2tKHGhmObraJdhh+3ZsZxzlMmoo6AQTcRERE1SVeriZxdWIHUzFykZOQhM6fU6boKmRTDe4ciub8GY/pF2HqUPYGrw7Hbevhxa2Yc5zxlIuoIeFciIiIilzS1h7KjBudCCBw7X3ahtFcezhRWOF3fx0uOUf3CkRynwYi+YfD20HP1hOHYbZVxnPOUiciT8e5EREREDZhMJnz66acwm82488474eXl5XIPZWsOH24vFqsVf50psdXQLtDqna4f7OtVXdorXoPBPUOg8NDzqs/dw7GZcZyIuiLe1YiIiKgBIQTOnz9v+/+m9FC25vDhtmQ0W7DvZCFSMnKx42getFUmp+t3C1IjOV6DpLgI9I8KgrQDJphz93BsZhwnoq6IQTcRERE1ytUeyrYaPtxaKvUm7Dqej5SMPOw+ng+9yeJ0/d4R/kiOq+7R7hnu12kyubtrOLYnDHEnImpvbr2zCSHw7bff4uOPP8aBAwdgsViQlJSEpUuXIi4uzu42q1atwr333tsgk2rv3r2xb9++9mg2ERFRl+NqD6UnDh8uqTAg7WgeUjJyceBUIcxWxxnHJQASooOQHK9BcpwGmiB1+zW0i3BliHtHzQdARGSPW+9iZWVleOutt/DUU08hKSkJQgi8+eabmDx5MtLT0+Hn17CGpcViwcUXX4wffvjBDS0mIiLqmlztofSU4cO5JTqkZOYiJSMX6dklcBxmA3KpBEN7hyIpToOxsREI8vVqlzZ2Vc6GuHfEfABERI1xa9AdEBCArVu31hmq9eijj2L16tXYvXs3LrnkEje2joiIiGpzpYfSXcOHhRA4lV+O1IxcpGTm4WSe1un63koZRvQJx7h4DUb2C4OPF2uRtzd7Q9w7Sj4AIqKmcGvQbW9elMlkQnFxMfz9/d3QIiIiInLE1SRc7ZUh2yoEjpwtsZX2Ol+ic7p+gFqJMbHhSIrTYFjvUCjlTNrlSTw9HwARUXN51J1LCIEHH3wQ/fv3x4gRIxyul5eXhzvuuAO//PILjEYjhg8fjv/+979ITEx0uI3BYIDBYLD9rtVWPwG3Wq2wWq2tdxKtzGq1Qgjh0W0kz8BrhVzFa4VcYbVaoVarbf9O1r5elHIplHKpbb36pBKgf/cA9ArzgcFkqR5WfiFYaul1Z7JYcfB0EVIz87DjaB5KKo1O1w/3V2FsXASS4iKQGB0EmfTvIcpd5W9AbzQ3+BxaU2vdU6oMJuiNZgT7qiDE3xMCvBUylFToUWUw2a476pj47w+5qqNcK662z2OC7pKSEsyZMwfl5eX43//+53C9yMhIhIWF4YorrsBbb70Fi8WCDz/8EOPGjcORI0eg0Wjsbvfiiy/i6aefbrC8oKAAer3zWpzuZLVaUVZWBiEEpFL+Q0OO8VohV/FaIVfNnj0bZWVlKC0tbdG1YgDgfLC3c3qTBYeytdh7uhQHzpSiyuT8S05koArDewZiRK8gxIR4XxhZZ0FRYWELWtHxWKxWnCvSoUBbBZPFCoVMijB/b3QPUdd5+NBSrXVPMZosUJgrUVlWCXWt4f6VBhPkAigvLYahkqMTOjL++0Ou6ijXSnl5uUvrSUTtR4lusmvXLsyaNQu33norlixZ0qw39sorr8TFF1+MRYsW2X3dXk93dHQ0SkpKPHoou9VqRUFBAcLCwjz6giP347VCruK1Qq6qf620dY9pbWU6I3Yey0dqZh72nSyEyeI80I6LDEBSXASS4jSICvFp07Z1FOlnS3Ekuxj+aiW8lXJUXZhb3z86GAlRga12nNa8p9S02U+ttOUDKG+DNpN78N8fclVHuVa0Wi2CgoJQVlbmNKZ0e0/3999/j/vvvx9ffvklkpOTm72ffv36IScnx+HrXl5e8PJqmI1UKpV69AcJVM997wjtJPfjtUKu4rVCrpJIJLAKIPNc22eUzi+rQuqFjON/nSmGk8pekEklGBQTguT4CIyN1SDUX+V45S5IbzTjbFEFAny8bPOjlQoZIJHgbFEF+mr8W/XBSWvdU+K7B0IikSC7sBwllYbqfAA9QhAXGcD7VSfBf3/IVR3hWnG1bW4NuouKinDfffdh06ZNSEhIsLuO1Wpt9GQsFgu2bNmChx56qC2aSURE1OWYTCZ8/vnnMBqNGD35ahzNLW+TjNJnCsqRkpmH1IxcHD1f5nRdL7kUw/uEITleg9H9IuDnzYzjjnhivXRXuJqsj4ioI3HrXeybb77Bdddd5zDgTktLw5QpU3Do0CH06tULAPDFF18gLS0NCxYsQGxsLLKzs/Hoo49CoVBg5syZ7dl8IiKiTksIgaysLABAdqEWAWqvVskoLYRAZk7ZhdJeuThbVOl0fV+VHKP7RSA5XoPhfcLarc53R+cp9dKby145MSKijsqtd7Pjx49j2bJlWL58eYPX7r//ftx8883w8fGBQvH3k+wpU6bg8OHDuPrqq5GVlYWAgADMnDkTy5Ytg1zOmzMREVFrM5gsCPCt+29sU3pMLVYrDmUVIyUzF6kZeSgsd57ANMTPC0lxGiTFaTAoJrhVh7B3Fe6ql05ERA259Y77yiuv4JVXXnG6Tl5eXp3fw8LC8Pzzz+P5559vy6YRERHRBV7N6DHVmyzYd6IAKZm52HksH+VVJqfHiAr2QVK8BsnxEYiNDIRUImnVc3A3vdHc7sOl26teOhEROcfHnERERNRASaUBhQiCBTIUVZgAiaXRHtMKvQk7j+YhJSMXe04WwmCyOD1GX40/kuM1SI7XoEeo74XSXp2L2WJFZk7bJ6Gzh/OjiYg8A++8REREZHMqT4svU45je3ourNI+AIATKSchlQB9uwVgaM8QRAb72HpMi8r1SM3MQ2pmLg6eLoLFScpxqQQY0CP4wtDxCEQEqtvrtNwmM6cM6dnFbZKEzlWcH01E5F68AxMREREAYM+JAjz11R5YrAJWUTd4tgrg+HktTuWV495L+yM9uxgf/ZKOI+dKne5TIZNiWO9QJMVFYExsBAJ9GpbvbAp3DNNuLr3RjOzC6qzvrZGEjoiIOibe6YmIiAin8rR46qs9MFuscNRXbRUCVovA2z8ddrovtVKOUf3CkRQXgZF9w6H2avnXDXcO026ujlq2i4iIWhfv9ERERIQvU47DYhUOA+7GBPooMTa2urTX4J4hUMpbtySVJwzTbqqOXraLiIhaB4NuIiKiLq6kwlA9h1s0LeQO81dhfEI3JMdp0D8qCDJp2yRC66jDtFm2i4iIAAbdREREXd7BrKImB9wAMG9yf0xIjGyDFtXVkYdps2wXERF55r9QRERE1G6qjOZmbadr5nZN1ZGHabNsFxEReWbmESIiImo33s0MAtXtFDzWDNMu0xlRpjPCZLaiTGeEVmdEdKhnDi2vT6WUI9DHq0O0lYiIWhfv/ERERF3c4JgQSCWSJg0xl0olGNwzpA1bVVdXGabdkUqiERGRa3g3JyIi6uKCfL0wPkHjcjI1mVSC8f27tbjmdlN09mHaHbEkWkvxAQMRdRW8wxERERFuTu6L1Iw8CIvzsmESAFKJBDcl92mvptWhUso7ZYDWEUuiNVdXfMBARF0b72xERESEXhH+eGrmCMhlUjiq/CWTSiCXSfHUzBHoFeHfvg3sxOqXRFPIpfC/8P/ZheXQt1PCuvZS84BBKpEgxFcFqUSC9OxiZOaUubtpRERtgkE3ERERAQBG9AnD23cmw1d/HlaLpc5r0gtDyt++Mxkj+oS5qYWdU01JtPoJ7dRKOQwXXussutoDBiIigMPLiYiIqBaVtRI/vLoAVpkXgnoOhNxLDWExYNPXnyIxtpe7m9cpdeSSaE3VkWuuExE1F3u6iYiIyObll1+GXq+HsbIMeYf/wLl9m5BzcCvefeO/7m5ap9UZSqK5qvYDhto64wMGIqIarRZ05+Xl4YUXXkCvXnwKTkRE1BGdP38ey5YtAwBIJJI6//3444+RnZ3ttra1J73RjNJKQ7sOdY6LDEBCdDCEECiu0EMI0SlLonWlBwxERDVafGfbvHkzPvjgA6xfvx69evXCvHnzWqNdRERE1M6WL18OvV4PAPDz84NWq4W3tzd0Oh1MJhM++ugjPPPMM25uZdtpq6zarpTG6uwl0WrrKjXXiYhqNOtuXlxcjE8++QTLli3DyZMnceedd2Lbtm0YPXp0a7ePiIiI2om3tzcAIDQ0FCqVClqtFjKZDBEREcjLy4NKpWpkDx1ba5ftak4Q31lLotXWlR4wEBEBTRxevn37dsyePRsxMTFISUnBK6+8gtDQUDz33HMMuImIiDq4RYsW4aeffsLu3bshk1XPrRVCYNu2bdiwYQMWL17s5ha2nbbIqs3SWM6plHIE+ngx4CaiTs/lu1xiYiIsFgvmzZuH119/HeHh4QCAe++9t80aR0RERO1HKpVi6tSpDZb36NEDsbGxbmhR+2ntrNr1g3gAUMiVEKgeVt0ngvOXiYi6Cpd7ujUaDfLy8pCdnY2yMj6hJSIios6jtbNqd6Xa20RE5JzLQffmzZuRlpYGq9WKUaNGYcqUKVi7di2EEG3ZPiIiIqI219pZtVkai4iIajRpTnd8fDzeeustnD17Ftdddx3+85//ID8/H88++yzS09Pbqo1EREREba41y3axNBYREdVoVv0LHx8f3HvvvTh48CC2bduGoqIiDB06FKNHj8aHH37Y2m0kIiIiarKm1tuuyao9MTESExIjMTExEonRQc0uF9ZZa2+7o445EVFH1uLHrOPGjcO4ceOQn5+PDz/8EM8//zzuvvvu1mgbERERUZO1tN52a5Xt6mylsRy9r/00fu5uGhGRR2veo1s7wsPD8e//b+/O45uq0j6A/5ImTfe9pQUKFZB9X0RFUFxGZBEQRoFRcVBmxB3RcXREwWVcAMfhhQEVRxhhABfAEcd9RMUFREVkLQUKhZbue5v9vn+cpk2aps2em+T3/XxKy83NzUlymt7nPs855/HHcerUKW8dkoiIiAIsOjoaarU60M1widyW6gqVpbEcva65RTWBbhoRkaw5HXRLkoRnnnkGgwcPxpgxY/DOO++0fUCl1+J4IiIiCjCFQgGFQhHoZjjNF+ttU8evq56zsRMROeR0hLx27Vo8//zzGDduHLp3747Zs2fjyy+/9GXbiIiIiFzCpbp8o73XVW8wQW8yB6hlRETy53Sd07/+9S+sWbMGt9xyCwBgwIABePHFF3H55Zf7rHFEREQUWHq9HkajEZGRkT5/LK3e6PHYZ+ulutSqljZzqS7PtPe6RqojEOnmZHNEROHA6U/I48ePY+bMmc3/v+uuu3DgwAGfNIqIiIjkwWg0wmz2bRbTaDLjUEEldh0qbP46VFAJoxvZUy7V5Rsdva6RvJhBROSQ00G3Xq9HdHR08/+Tk5NRX1/vk0YRERFR+PD2xGehulRXoDl6XXtnJQS6aUREssbLvURERBQwrSfoAgC1KhISgIKyWvTs5Hp2OtSW6pILR6+rryshiIiCnUt/gWprayFJUvP/JUmy2wYACQm84klEREQds0zQlRoXZbM9JlKFijqtCO7cHd/tpfW2yRZfVyIi1zj9iVlXV4ekpCSbbZIkITFRlGopFApIkgSFQgGTiTODEhERUcc48RkREYU6p4PuU6dO2W2rqalhSRERERG5zTJB1+GCCkgQGe4GvRE1DXr0z05hRpWIiIKe03/JysrK8Oc//xk7d+6ERqMBAMTExECn0zXvExERgaysLJw+fdr7LSUiIqKQZJngrKCsFhV1WmjUEZz4jIiIQobTQfc//vEPXHvttc0BNwBoNBo0NDTg3LlzePvtt/Hqq6/iiy++8ElDiYiIyP+io6OhVqt9+hic+IyIiEKZ00uGffHFF5g9e7bNNoVCAQDo0qULHnjgATz44INYvHixd1tIREREAaNQKJr/3vtaVKQKSbGaoAi4KysrsXTpUhQVFQW6KUREJHNOB91lZWXo0qVLu/vMnj0bH3zwgceNIiIiIpKz+++/H3v37sWCBQsC3RQiIpI5p4NuSym5tdjYWLt9ampqvNMyIiIiCji9Xg+j0RjoZsjKBx98gNraWnzwwQdISkrCpk2bAt0kIiKSMafrty666CLs2LEDc+bMad5WUFBgs89HH32EXr16ea91REREFFBGozEsVyrR6o0Ox5dPmjQJkyZNAgCsX78+AK0jIqJg4nTQfffdd+MPf/gDxo0bh65du9rdXlZWhoULF2LRokVebSARERGRvxhNZhwrrEZBWW1z0J2dFo8+nROhinC6QJCIiKiZ0389Jk6ciGnTpuGiiy7C1q1bodfrAQAmkwnvvfceRo8ejUGDBuHOO+/0WWOJiIiIfOlYYTUOF1RAqVAgNS4KSoUChwsqcKywOtBNIyKiIOXSJdtVq1bhoYcewp133onExERkZ2cjISEBc+bMwU033YS3337bV+0kIiKiILVkyRLcc889gW5Gh7R6IwrKapEYE4mEmEioVUokNP1cUFYLrV6MbV+/fj369++PmJgY9OvXL2CTyBYUFGDq1KlITExE586dsXTpUreGAsyfPx8DBw602xYfH4+kpCSbr/vuu89bzSciChsu10k9+OCDOH/+PD788EO8+OKL2LZtG4qKivDXv/4VERERvmgjERERkc9pDSZoDSZEtxrDHROpgq7ptnfffRf33HMPFi9ejIMHD+Laa68NSJVffX09rr76akycOBHl5eX48ccfsXv3bixdutSl42zbtg0fffSR3XaDwYAnn3wSVVVVNl8rV6701lMgIgobbg1O0mg0uOKKKzB79mxce+21SEhI8Ha7iIiIiPwqSh2BKHUEGvW2s7U36I3QNN320ksvYdGiRZg9ezZ69OiBSZMmoba21u9tXbVqFYYNG4Y//vGPUKlUyMrKwqZNm/C3v/0N5eXlTh2jsLAQjz/+OFasWOHj1hIRhTfOCEJERER+sX79ekyePNlue05ODvLz87F+/XrMmTMHq1atQrdu3ZCSkoL58+dDq9VizZo1yMnJQVpaGu655x6YzWasX78e999/P1auXIkuXbogISEBt99+u90Sp9aSkpIQFxfX5ldaShK+/M+/Ud2gR3WDHgajGdUNetQ06JGdFg+DrhHff/89Jk6c2Hy8jz/+GMOGDXPr9WivLXFxce1mlbdv345Zs2bZbMvIyMDFF1+Mjz/+uMPHliQJc+fOxbJly5CRkeFW+4mIyDlOz15ORERE4Sc6Ohpqtdpvj/fxxx/j7Nmz+O6776BQKHDNNdfg8ssvR1RUFL755htERkbimmuuwZtvvgkA+M9//oOxY8fi4MGD0Ov1mDdvHu6//3689tprbR6/qqqq3ce3nr28ok4LjToC/bNT0KdzIr7/7lsolUoMGTIEDQ0N+Pe//42VK1di+/btbj3XjtrSniNHjqB3795223v27IkjR450eP8VK1agd+/emDRpEnbt2tXmPj/88AMmTpyIH374AbGxsbjmmmvwwgsvICUlxe12ExGFI2a6iYiIyCGFQgGFQuG3x6uvr8emTZvQpUsXdO7cGQsWLMCBAwewefNmdOnSBenp6bjjjjvwv//9DwCg1+vx2muvITk5GZ06dcL69euxefNmFBUVufX4qgglBmQn44oBnXH5gM64YkBnDMhOhipCif3796Nv37748ccfERsbi/nz52PKlCm47rrrAIiJza644gr0798fgwcP9ukEs3V1dUhOTrbbnpKS0mG5+/79+7Fx40YsX77c4T4DBgyAUqnEk08+icLCQuzevRu1tbWYPHkyJEnyuP1EROGEQTcRERHJxqBBg5Cdnd38/7i4OAwZMgSdO3e22WYZtzxmzBhoNJrm29LT09G7d28cPnzYo3ZERaqQFKtBlNWkavv378fw4cMxaNAg7NmzBy+99BI++ugjPPXUUwAAlUqFl19+GYcPH8Ynn3yCBx54APX19R61w5G4uLg2M+VVVVWIj493eL/GxkbcdttteOONNxAdHe1wv4cffhibN2/G6NGjoVar0bVrV2zYsAHHjx/H/v37vfAMiIjCB4NuIiIickiv18NkMvns+JIkobKysvn/nTp1stsnLS3N4f1jYmLstjU2Njpsc1pamt0yWNZfq1atcvhYlqA7ISEBF110ERYuXIhbbrkFe/bsAQBkZWVh6NChAIDMzEykpaWhoqLC4fE8aUvv3r2Rl5dntz03Nxd9+/Z1eL99+/YhNzcX48ePb36cyZMn48iRI0hKSsLMmTMd3lej0aBbt24oLCx0uA8REdnjmG4iIiJyyGg0wmQyOT2u22w2Q6m0vaZfWlqKzMxMJCcno6SkxOa2//3vf6ipqfFae48fP47Tp09jxIgRbd5eVlbm1nGNRiMOHTqEfv362Wz/5Zdf2pwc7scff4TJZLLJ2nurLQAwefJkvPXWW5gyZYrN8fbs2YMtW7Y0b5MkyWZ4wNixY+0mmtu1axfuueceHDx4sN3HLCoqwtGjRzFo0CC3201EFI6Y6SYiIiKvuffee7F8+XIUFxfDbDbjv//9L7Zt24Y5c+bgsssuQ15eHjZt2gSj0Yhvv/0Wd911V7uZ7I7s3LkT27dvh8lkwvHjx/G73/0O9957L1JTU734rICjR49Cq9Xiqaeews8//4xjx47hgQceQH5+Pm6//XabfSsqKnDrrbfi1Vdf9WobrN1333348ssv8cYbb8BsNuPcuXOYNWsWFi1aZPPcJ0+ejD/+8Y8uH/+hhx7CSy+9hNLSUpjNZvz444+YPHkyFixYgG7dunnzqRARhTwG3UREROQ1t912W3MZdlJSEp5//nns3LkTPXv2RGpqKnbs2IHly5cjOTkZDz74INatW9fmLNzOGjlyJLZs2YLk5GSMGzcOkydPxvPPP+/FZyTs378fWVlZiI6OxtixYzFu3DgUFBTgiy++QGZmZvN+Op0O06ZNw5///GdceumlXm+HRXJyMj7//HO89dZbSEpKwqhRozB+/Hg88cQTNvvFx8cjLi7O5ePPnTsXhw4dwvDhwxEfH4+bb74Z8+bNw7Jly7z1FIiIwoZCCtMpKGtqapCYmIjq6mokJCQEujkOmc1mlJSUICMjw65cj8ga+wo5i32FnJGTk4PTp08jLi4OpaWliIqKCnST7Kxfvx67du3C+vXrff5YDz30EE6cONHu8mCSJGHOnDno06cPlixZ4vM2yQU/U8hZ7CvkrGDpK87GlPJ9BkREREQysX//fgwePLjdfb755hts3boVO3bswNChQzF06FD8+uuvfmohERHJFSdSIyIiIurAL7/8ggULFrS7z2WXXQaz2eynFhERUbBg0E1ERERB6bbbbsNtt93ml8cqLS31y+MQEVHoYXk5ERERORQVFeX0cmFERERkj0E3EREROaRUKm3WeSYiIiLXMOgmIiIiIiIi8hEG3UREROSQwWCAyWQKdDOIiIiCFoNuIiISdFqgpkp8J2rCoJuIiMgznL2ciCjcGY1A/jGgqEAE3JooICsbyOkDqPhnQjZ02pb3RxMV6NYQERGRk3g2RUQU7vKPAXmHgbhEICkV0DaK/wNArwGBbVsoczaI5kURIiKioMa/1kRE4UynFcFcXCIQlyC2xakBSGJ7dk9mVb3N1SCaF0WIiIiCGsd0ExGFM0u2NSradntUDKDXcXy3L1iCaIVSBNEKpfh//jH7fVtfFFGpxfe4hJagnYiIiGSNQTcRUTizlDZrG223axuASA2z3N7mahDNiyJERERBj0E3EVE4s5Q211WLL6Oh6ecasZ1Bt3e5GkTzoggREVHQY9BNRBTucvoAvfoDkgRUV4jvvfqL7eRdrgbRMrgoEhUVBRUnbCMiInIb/4oSEYU7lUpMyJXdk0tS+ZoliM47DEASGW5tgwiie/Vv+3W3XPwoKhAXRSI1fr0oolQqoVTyGj0REZG7GHQTEZHAYNs/XA2ieVGEiIgoqDHoJiIicpeza21bczeIDlCwbTAYYDKZmO0mIiJyE4NuIiIiV7m61nZbgiRjbQm61Wp1oJtCREQUlHjZmoiIyFWurLVNREREYY1BNxERkStcXWubiIiIwhqDbiIiIle4utY2ERERhTUG3URERK5wda1tIiIiCmsMuomIiFxhmTStrlp8GQ1NP9eI7Qy6iYiIyApnLyei8OPOMk/+Iue2UQtX19omIiKisMWgm4jChzeWeQrHtpE9d9faDkIajQYq9kEiIiK3sbyciLxPpwVqquQ3oZScl3mSc9vIMU0UkJAUsgE3AERERECp5OkCERGRu3jpmoi8R87Z2tbLPAFAnBqAJLZn9wxc4CTntlHwczRkgUMZiIiI/IJBNxF5jyVbG5cosrXaRvF/QJTiBpIlwEhKtd0eFSPG5FqCD3+3RxMlv7ZRaHB0ESy7J1BwwumLY0ajESaTidluIiIiNzHoJiLvkHu21nqZpzh1y3Z/L/PUViCU1glQqwPfNgotji6Cnc0XfcvJi2N6vR4mkwlqtdruNiIiIuoYL1sTkXdYsrVR0bbbo2IAvS7w47vlssxTW2O3T+cBEgLfNgodrS+CqdTie1Q0cOIIoImx3R6X0HIhiIiIiLyKQTcReYd1JtmanLK1OX3Esk6SJMq2Jcm/yzw5CoTiEgAogG49A9c2Ci2OLoJFqABdI6CKsN0ul4tjREREIYjl5UTkHZZMct5hAJI4idc2iGxtr/7yCLoDvcxTR2O3u/YAevbn5FbkOUfDKUxGQBMNGE22+8vp4hgREVGIYdBNRN5jycoWFYggMlIjz2xtoAJaZ8aVM9gmb3B0EUzbCPTs13RBTCXPi2NEREQhhkE3EXlPoDPJchcM1QAUOhxdBLOevVzOF8eIiIhCBINuIvK+QAfbcl5/OFiqAUj+Ourn7V0E48UxIiIiv2HQTUShw9G6xA7WHw4IVgOQp5zp560D8rb6mIPtJSUliI+Pb9lNo4HRaERxcTE6derkq2dFREQUsjh7ORGFjraW48o7LLbLjSYKSEhiwE2ua6+fG41A3iFg766Wr7xDYrsTNm/ejE6dOuHSSy+F2WwGACiVSowfPx6ZmZnYsGGDz54WERFRqJJJ6oeIyAntldO2Xo4LaJqsTBLbs3sywKXg11E/1+uAMyfE7UmpYuK0vMNiv14DOjz8r7/+CgDYv38/kpOTAQCNjY3Yt28fAODAgQNef0pEREShjpluIpI/Z7J3jtYl5vrDFEos/TwiAmioAwx6sT0qRvz/bH7b68BbStE7MGfOHCgUCgBAdXU1AKC+vr759ptvvtnrT4mIiCjUMegmIvlzpmzcejkua1x/2P/qa4H/bASqygPdktCjUgFVFcCR/cDxg0DuQaDoDNBQK34vzCaPLjwNHDgQv/3tbwGgubxckiQAwLRp0zBs2DCvPh0iIqJwwKCbiOStdTmto+ydZTKpumrxZTQ0/VwjtjPo9p8ta4FTx4CNqwLdktBTeFpcSLJkuyUzkH8cKDgJZF8AxMZ7fOFp8eLFzdlua0888YQ3ngEREVHYCWjQLUkS3nnnHUyYMAGZmZlIT0/H1KlTcexY+5MeabVaPPDAA8jIyEBycjJuvvlmVFZW+qnVRORXrpSN5/QRy29JkliOS5K4HJerdFqgpsr9cvwDe0TQd//TQEws8P3/vNq8sGa5ANWtJ5BzIaCMEJltTZT4/eh2oecXnsxmDIQWe26ZiOI5V6Bx7tUomTMe3988AcNURqAp+01ERETOC+hEatXV1Vi5ciWWLFmCSy+9FJIk4e9//zuuvvpqHD582GbJEmvz5s1DbGws8vLyoFKpsGTJEkyfPh27du3y7xMgIt+zLhuPU7dsbyt7F0zLccltLXFvLbc2eLT4AoB5D/mmreHK0meSUoGEZCA9EzAYAAWA+jrAZPRsHfjzBcA/ngEKT2OUGoBaAwCIUkUgHRLw98VAZjaw4C9AlxxfPUsiIqKQE9CgOzExEV9++aVNGduf//xnbNy4ET/88AOuvPJKu/vs2bMHu3fvxsmTJ6FqOhF88cUXMXToUHzwwQeYNGmS39pPRH5gCf7yDgOQRIZb2yCyd736u7T+sCzIdS1xy7h5N2e9Jj9ofQFKFSm+6qpbLkC5e+Gp8Azw4kPi96pJtVFCfnUdsuOjkRLZ1DfPFwAvPAT8aRnQ9QIfPVEiIqLQEtDycoVCYTduzGAwoKKiAgkJCW3eZ/v27bjhhhuaA26LG2+8Ee+9957P2kpEARRKZeNyXEvc2XHzFFiuzFvgyjrwRgOwaklLwN25G3DXYkT9Yzv+3fsyrLpgDPR/eKwlu91QB/zfky0zpxMREVG7ZLVOtyRJuP/++9GvXz+MHDmyzX2OHDmCa6+91m57z5498eGHHzo8tk6ng06na/5/TY04uTCbzc0ztMqR2WyGJEmybiPJQ0j3FaUS6NEP6HIBoNMBGquych8/X+UfJsK8YjMQn9j+jj9/C6R1EhlGR3RakVGMTRATXgHiu2QW27tc4LsMvVX77PpKYyOg1QJJKeKChoUmGqiuFLerI517nG8/heLjd4CyEiA1A9LM24HBF3n/+bhAsWg2pCVrO34PLc7lQ/HO60B+LhChAkZdDmnarbbvjTP7+EK3C8V7VFQgZjGPjAR69hPb3f1d+HE3lCWFAACpaw9ID78IRMdA0usRExMDCYBx4EioBo6AYsUjUJzOA8pLYN77JXDJVd57bhS0QvrvD3kV+wo5K1j6irPtk03QXVlZiblz56K2thbbt293uF9dXR2Sk5PttqekpKC2ttbh/Z577jksXbrUbntpaSm0WvlmccxmM6qrqyFJEpRKTjZPjoVVX9HqANR0uJs3ZAIoLSuD1Khrd7/E77+A/oK+aNS0PRcFAJEhbNCJQLvROkuoBhrrgKJCICbO8f0NevGljnQ+CG6jfXZ9xaAHlGqgtl6U71to6wGFCqitbXrN26c59AMS312H6qm/hyG7B2K++xRR/1qJ0j+95FJbvUWh1yF63y4k1FajxIn3EAAiys4jde1TqLluFhp/eyeU9bVI2PkmFC8vRuXcRYBS6dQ+PhWfBkQl2PaFigq3D5fy6Q5YelPlNTOhr60DautgNhpx1VVXoaGhARUVFVCpVFBfcyNS1/0VAGD8bAcqeg7ywhOiYBdWf3/II+wr5Kxg6SvtxZ/WZBF07927F3PmzMEtt9yCxYsXt/vCxsXFoaqqym57VVWVw4nXAODRRx/Fgw8+2Pz/mpoaZGdnIz093WEpuxyYzWYoFAqkp6fLusNR4LGv+E56WlqHWVJFVDQ0CQmIz8hwvJMuATh7HIARiLYKbusagehIIKtz25lSoxE4ndtU6t2U6c/KBrr3dnocuHX72uwr2hog7wigVrSMm9fVA736AV26OvcYb/wP+M0MJFxzvdhg1kOx/1tktPea+MquD6B4e52oIoBz7yEAKD5/Fxg9HvHXzUTzX5R7lkDxzL3IOH0EGD3eqX18Sqe1r/hwl9EIxelcAIAUn4Tk4jPAgW9FX6utQsaLG1FaVtbSV9LTIe3MhuJ8ASILTiAjMUG+8yeQ3/DvDzmLfYWcFSx9JSrKub+BAQ+633//fdx9993YvHkzxowZ0+H+vXv3Rl5ent323Nxc9O3b1+H9NBoNNBqN3XalUinrNxIQY9+DoZ0UeOwrvqH8/nOgshy4cACwfYMYV96rP3DzPUBqJ+CJPwDF56D44Utg8xrgjj8Bwy4FaqvFmtW//gAoFMCl1wDDLgFOHgXyDgFV5YDJBJw4DPQfDowaB2xaBfz4jRhn270XMPUWkTk9cURMmvXTbuD0cdGwIRcD8/8EfPc5cOYEkJ4FfPS2mGhr5GXA7LtEQNS6ffMegqJLL9u+ckFf4OXHRXsgAVCINlv3pem3AVdPa/tF0jYAJ48BN/0RCst9Dv8MdOvZ8n9X3DtDLIflSHttAYArp4gvALhjgniezrSjpFAE1tb7ajTA2Guh+OkbUU7tzD6+4OkkfLXV4r7nC4CiM+Lnc/nNQwoUtVXAf7fY3EVZU2n/uZLZVRwDgFLXaHsBicIW//6Qs9hXyFnB0FecbVtAg+7y8nIsWLAAn3zyCfr379/mPmaz2ebJTJ48GXPnzsWLL76IiIiI5u3btm1rs3yciMgrjvwMnMkT608npQA7/w2seRZ4fCXw1KvAP5cDfQYDY34j9jcagJceE4H6so0iEF77LBAbB/QdIoKe3F+Bbr2A+54SgdPLfxGTWD39qigz3/cVsPtj4MKBQHQc8OFWcfvvFwFVZcAXHwA7NwOpGcAv34v9lq4Vwdn6l0TAP/cB+/aZzUBJie3zU6mA1TvcX8qs4CSgVADZPcT993wBfP4ecPdi917v/3vXvft5KiUdKD5rv72iFCg+5/w+vuDMDPNmM1BeIvrX+QKrILvAZmZyZ5gBHP5hD6rjU5CWltbyt7imsmWnSGa5iYiIOhLQoPvtt9/GjBkzHAbc3333Ha655hr8+uuvuOACsTTJ5Zdfjv79++Pee+/FsmXLAABPPvkkEhMTuVwYEflOeQmw6HkxIzQATJsL/O99oK4WiGtjaMsPX4lM7ewFImOsiQJu+iPwf08Ak+cAZ/OBH3cDdz8hjrn3S5EtvuW+lozs6PHAhYNEdrukUJRKj71OHC85XWTNv9gJzJwnAu1b728Z6z1vEfDn20SmPCnV+efp7nJrBSfFGs75x4EXFoltw8cAA0e17PPLHuCtV0VmdcJvgXHXuf44vnbZtWI96p79gQEjxMWN9zeJoNWSeXdmH29rPcO80SD6S2kRcPwQoNoBlJwDzp/1cFZxBdCpM5DZFcZOXfHunp8AACNGjBCrhhQXikoNQFRWMMtNRETUoYAG3Xl5eXjllVfw+uuv29129913Y/bs2YiNjYVarba5bevWrXj44YeRk5MDg8GAadOmYdu2bXbLjxGRD7ibCQ2Wx3PkwgEtATcgAt+YWDHZWFtB98kjIut530zb7QY90FAPqNUiM2055vGDwKCL7EugY+PE8y48LcrRX3tebJea/pEkoLFBlLtbT64WnwR06iIynq4E3e46c0Jk7bvmAI/9XZTP79gggtGpt4iy9bdeBR56AYiOBZ6+RwTlcTKbU6NnPzE84P1NojogtRNw5fWirR+94/w+3lJXKzLVJ48CB/aIvlNdDtRU2c4076pIjSgTz+oG1NcCB/eJ7UMvFheCFApArweOPNdyH0kC3tvQ8v9xE8V+RERE1K6ABt3Lly/H8uXL292nuLjYblt8fDzWrl2LtWvX+qppRNSap+NJ5f54HXF2uSlr10wHZszz7JiW523Qi3HfY34jMpx1NSLQ7jUA+OYTEUS1pte7tozUAzc2jel2YPpcEVy2peCkGMscHQv06CO+is8Cp5rWHz91DOjcHUhOE/8fNAo49KPjScc8aYunBl9kv8zZlrXiwosr+zjLbAYqy5pKws+2jLdumszMI/GJIrC2BNhZ2eIrOb3lAk99LfDIXNGv9n8HrHsR+O0dQIzVxaSaSmDnJlGRAYj+dtk1nrWNiIgoTAR8IjUiChLOjCcN5sfzth79gF077bc7Kke/cADwwRbghttss90GvbjQ0G+YGCddXSECnl79xfY6B0tVFJ8DKkqA7hc63+aX33J+X2smk8jEZ2Xbbi84CQweLX6uKrfNuCelim3ebosrJMm5TG3peTFZ3eP/59k+Br0YJmA9ztrys77j5cwcUwDpmS2BtXWA7UwlQWw8cPvDwD+eFkMY9nwB/PAlVP2HY2JlARKMemgev8O2dH7eIlFNQURERB1i0E1EHWs9nhQA4tQAJLE9u6d3S7/9/XjeoIkS42vNJpFhHnU58Ol2YOurwKTZQFS0yOxue0NMdtbaiLHAZzuADS+L7HhcPLD/e1H2e+v9Yhz4L98DhWeASbOAhOSW4/3mBuDAXuCnb0R5cOl54LUXRCbY8vpZt0+r9e5zP18gAsr3N4nMaqQG2PUBUF4MjL3Wu4/lTSufEJn3W++33b5tPXDV9UBiCnD0F+Bffwem3SoCW2f2aai3nSHcksEuLXKt8qA1daRob0yceF9T0sXFl6GXiqEOnhh2CXDnY8Dry8QFALMZyoP7MKr1fiq1CLhHjvPs8YiIiMIIg24i6phlXHXrscFRMSLzain/DtbHc5ckiTLv+CRgzLXA2mfEjN13Pg4MGA48+Bzw9mvAY78X+/cfBtz5l7aPFREBPPAs8O7rYokvAMjpDUz5nfhZpQIWvSCOt2SB7fFOHhEZ7b1fAv9cIZavumKyCNQtrNv3x8eANOfW3nbKmRMi+FRrgBceEjNaXzgAeOhFsR2wz2xXlQMX9PFeG9wRFQNootu4QQKeXyTGTWd0FhdBRlzWahcJePYBUf4dmwB06S4mxtu5WfRRT8TGiyx1ZrZtSXhqBqCM8N08ByMuE+/JV/8FvvrIZpZyKS4RinETgMsniXYQERGR0xSS5MlMLMGrpqYGiYmJqK6uRkKCzCbysWI2m1FSUoKMjAxZr1FHgefTvqLTAnt3AQqlbblqXbUIPi66wvtBtz8fz1VyG2/+zSfAsQPAvIec2t3rfeWt10QW9+4nHO9jMgGL5wMPv9gykdqjf5PfRGqtGY2iJNxm+a0zQNFZQNfo2bFTM5rKwbOBLKuScDmUbRuN0BeewYa1a6BTRuCORx9HVGxcoFtFMsVzFXIW+wo5K1j6irMxJTPdRNQxS1CZdxiAJDKE1pN5eTsA9vfjuSrYx5t7W8GJjp93RARw43xg+SOixHrCb+UVcDfWN01i1mq8dWlh+xO6dUSlFrPIN2eum746dQ18P26PSoWILt0x8rdzUFNTg4i2JuojIiIipzDopvAhl6WnglVOUylwUYH9ZF6h8HjOCsbx5r5WcEqUs3dk6CXiK1AkSfQlm8C6abx1ZZlnx46Jsw2sLaXh6Z1ESXgQioiIwJAhQ1BSUoKIiOB8DkRERHLAoJtCn9xKgYOVSiWymdk9/XPxwt+P5yw5jjcf8xvxZc2fF5le3urb47vKZBLl7tbl4JYsdmO9Z8dOSbfKWFtmCs8WE9v5Y81qXjwkIiIKOow4KPSxFNi7/H2yL7fgwtIebWNThruJtkFk4wPd1nC6yKTT2mesi84AxYWAyej+cSMigIwu9mtbZ2aLWegDIQDvq9lsxvHjx1FVVYW0tDRZj6kjIiKSsxA7AyNqhaXA5G0cb+5fkiRmEW9rIrOKEs+OHRXTaqx1NzGhWVqW/C5QBOB9NRqN2LJlCwBgyJAhUMntNSEiIgoS/AtKoU2OpcAU/Dje3PvMJqCs2CprbTWZWUOdZ8dOSrWfyCyrm1jOzB8l4Z4K5veViIiIGHRTiJN7KTAFJ443d59OCxRbZglvKgcvKgCKzwFGg/vHVSrFmto2462bluKKjvVe+wMhGN5XIiIicohBN4U2uZcCU8fkPHGU3Nokp4tMtdX2WevzBUB5iSgZd5cmWgTSma0mMsvoLJbn8gV/9sG2HktO7ysRERG5jEE3hT65lgL7ik4LGPTyCwhdFU4TgnmLvy8ymc0iiG4dWBcViMf0RGJyq8C6aUKz5DT/lYT7sw+291i8eEhERBTUeOZKoU+upcDeZjSK4Ce3HNDrgj9IDbUJwfzFFxeZDHpRCm5dDn6+qTzcoHf/uAolkJ5pu661JYsdG+/+cb3Fm32wo2x5R48VbhcPiYiIQkgQnokTuSlUg22L07lA4RkgId6/QaovSm85cZT7PLnIVFdrNTu4Vda67LxnJeGRGttJzCw/Z3QG1JHuH9eXvNUHncmWO/tY4XDxkIiIKAQx6CYKBZaT9uhYcdKuUPg+SPVl6S0njvKco6CsqSQ88vivwK+1TdnrpuC6tsqzx4xPagqqW61vnZwuJjoLJt7qg85ky115LD8G2xEREZgwYQJqa2sRERHhl8ckIiIKRQy6iUKBTgvodEBUq5JcXwapviz/5sRRnjPogZJC24x1089KvQ4p7h5XoQDSMm0z1pbvlixtKPBGH3Q2gy3T/h4REYFRo0ahpKSEQTcREZEHGHQThQJNFKDRNI2vjWnZ7quTdl+Xf3PiKOc11LUE1NZl4aXnAcns/nHVkSJjndkqc92pi+hToc4bfdDZDDb7OxERUUhj0E2h77vPgNRMoPfAQLfEdywn7blHAbVClJn78qTdH+XfnkwcJedlxtwhSUBlWausddOM4dWVnh07Nt5+XeusbkBqBqAM8+ymp5OXuZLBluFEaWazGfn5+aiqqkJaWhqUwTZEgIiISCYYdFNoO5MHfP4fwGgAHv1bcAZg1gGk5f9tBZPdewN1DUBtue9P2v1RDuvOhGDBvsyY0ShKwlsH1kVnAV2jZ8dOzWgOrM2ZXVGpiUNy/8FQJiT5bwmuYOPpygeuZLBluMqC0WjEm2++CQDo378/VMHwO0RERCRD/AtKoUuSgLfXAXc8DJw8Buz8NzBjXqBb5TzrALKxHqipBhQSEJ8MRMfYB5MqlQiq+g70/Trd3iy97aidrjyPYFlmrLFeBNKWmcItS3GVFgEmk/vHValF+bf1OOusbKBTV9vX0GyGoaQEiE9kwO0MT36XXM1gyyDYJiIiIu9i0E2hS6EAFj0vfs7MDmxb3GEdQOp1IiADAE00EBPnOJjURImg3NfcLYf1VTZabsuMSZJ4XSzjrK1Lw6vKPTt2TFyrGcKbSsPTO7EkXG5kmMEmIiIi/2LQTSRH1gGkJgqorgKSUgBIQE2VCLgCvWa1u8GEr7LRgVpmzGQCSgtF5vrsSaDwNFBSBJScAxobPDt2Srr9DOFZ3QCWhAcfOQfboTYHAhERkcww6CaSI+sAUq8DjHox4RUgZqs2GOSzZrUrJ+q+zEb7epy5trGlDPy8Vea6uBAwGd0/bkQEkNFGSXhmNhAV7VmbidoT7HMgEBERBQn+VaW2HTsA7PgXUF8jMnkZnYGJs4DDP4mlhCbeFOgWdqyhHti8Bjj4AwAFcMUkYOot/nv8fV8DH2wWAVlSGjD3ATGZlTP3MRhEJnPMb8R9VJFNy4FJYtxuVZl4fhmdgysz5ctstDfGmUsSUFPZFFC3CrArSt1rl0V0TKusdTcxU3haVmgGOMyeyl+wzIFAREQU5ELwTI88di4feOU54J4ngR59RSBycB9w5OdAt8w1m1aJ8a3PbxAB3RN/BMZOECW7vnbyGPDxO8BDL4gM9cF9wJqngb+sdFwW3Po+n7wLfLoduP5mIDEJKDgl9svKBvbsEifJQ0YHV0Dj62y0s+PMzSagtNhqIrOClnHXDXWetSE2HkhOE4FMYjIwejzQrSeQmBIeJeHBlD0N5wsDzlSdKLhEGBERkTfI7AyIZOHQj0DPfiLgBkSgMGiU+HrvzcC2zVkNdcBP3wDLNoqT6fQsIEIlMsj+8N8tIqtuKQkfOBL4+iPx2g4c6dx9rpwK/LJHXARJzRDP4chPotrAoBfvUaDW8HU3WPFGNro9rceZKxRifesfv27JXBcVAMXnxDJy7lIqRZVBVjdxEaeuBuiSA6R1AiKbnoPRIAL/nN5iDHa4CIbsaTBdGPAVJ6pOImLjcdVVV6Gurg4REZygj4iIyF1hcnYRAnRa3y8DZdGpK/DeRhHwDRnteL+zp4Ata0U5ripSZGSHXixue+9NICFZHKOsSMy2fPO9IuNnue9brwG11SKAmXarCOpbq6sBXnzYcRsunwhcNdV++4kjIiiyZHBOHgWUChEUOcvdxwaAvEPAgsdttw0YARz+2XHQ3fo+KpXIkp7LB0ZfKd73KXNEX/hsuzg59nS2b1cDZ28EK+7Oet6e2ioxkVnr8dblJaJSw12aaFECbikHt8wYnpElyvwB8Trs3SWygpFWr6M31ywPFnKbQd6RYLgw4GtOVJ1ERETg0ksvRUlJCYNuIiIiDzDoljujUQQSueViQi1/ZGSGjBYZ13+9DKg1wMixwKhxQPcLW/aprQb+vhj4w6PAhQOA8mLgpcdElvbCppPWD98C7l0CZPcQJ7SrlwJLXxEXD15fDtzzBJDaSSyftPwRoHN3+zHPcQnAU6+4/hwKTorHlSTx87/+DlwxWUxa5Sx3H7u+Vox7b/1YSSki6HbnPtaZUk2UyNq7y5PA2RvBiruznptNIoi2WX6raY3ruhrnHtuRxGSrcdZWE5olp3VcEu7r7H0wCdQM8q4IlgsDvsZ+S0RE5DcMuuXudC5QeAZIiPdvRuY3NwBXTxMZ4x+/Bl78E3DpVeJEFQC+/RQYdXlLgJ3aCbjh9yIDa9k2+goR+ALiJK73YOCX70WQXVcNrFra8nhGA3DqWMcTjTnr7Ckg50LgjZdEW+MSgEuubnosI7DsT2Jpp7kPiIsK3mTQOw7UHG135z7ucjdw9naw4ijYNuibSsGbAutz+eJ3oOx802RyblIogfTMVhOZZYvstaWk312+yN77k7fGNvt6zL43BMOFAX/poN+azWYUFhaioqICaWlpUCo5xpuIiMgdDLrlzBLkRMeKIEeh8G9GRqkUAfSFA8QEZEvvAkaMFYF0SSFwQauAIisbKCtu+X+nrra3p2aIgLukUMyEPn5yx22oqwFW/Nnx7WMnAFdeb7/97Elx2zU3ADN+D3ywBVj5BPD8epFNXvAX4Mv/+uax4xLFzOJmk5jIzaKqAkhJa/tY7tzHHZ4Ezt4OVupqW7LVzZnrAhFce1ISHqlpKQO3fM/KFsMN1JHuH7c97mbvA81oBM4c997Y5mDIngbDhQF/6aDfGo1GvP766wCA3r17QxUu492JiIi8jH9B5UynBXQ6IKpVFs7XGRltg3gMa527i8eyTD6VkiGCJWuFZ8RkXxatE7Tn8oFLrxaTmZ06Zh90t/W4cQnAk/9wrf0GvZgoK7unuFCRmCJK5g/saWqXwj5wbIs7jw2IE9luPYGjvwD9h7dsP/wTcNm13ruPOzwJnN0JVsxmoLK0VUl401dtlWfPJT7Jdk1ry8/J6eKCUSAES7BtcTpXVLN4c2yz3LP+wXBhwN+Crd8SEREFGQbdcqaJAjSappJaq2DU1xmZT7eL2b8nzgLiE0U2bOcmkbnueoHY57LfAM8tBIaPAXr2F9nJHf8C5j3Ucpxf94nMeFS0mEm8+Bww6CKRIX/6XuDAXmDwRSLQ27EBuHCgOJ6nCk+LtcX3fSUmO6ssA/6zEbh8kufHdtbEm8TrkdMHiIkVz7WitGUStVeeE+uG9xns/H28wZMsX3vBSk5v0QeKrMZZW77rdZ61OSFZjK1OThMT8iUmA+On+GfpN3/z5xJWBr1vxjYHQ9Zf7hcGiIiIKKQw6JYzS5CTexRQK0SZuT8yMuOnAJ9sE5ObWfQdAix8Fvhsh/h/Ygqw8DlgyxoRGCqVwI13AD2sTlqVSlGeXVcjZg2/d4k4IU9KBR5+Edi8BnjrVVHyO+Y3wNBLvNP+glMi8/npNuDtdWISsrETgAm/9c7xnTFwpJhsbtnDIrOf1sl2ZvKiM/aTf3V0H2/wNMuX0UVULOQeFBns2hqgvkYELmaz++1SR4pS8MymMdZJqUBpkbjIY139YFmGS6V2fKxgFIglrAx6UUmT7KOxzXIMti2C4cIAERERhQwG3XLXvTdQ1wDUlvsvIxOXANxwm/hqbeotLT936gzc/7Tj4wwYLoLptmR2FUG8L5w9KZYfu+7GwJ5MX3KV+GrLkjWu38ea9fvgqo6yfJIkqgPsstYFQHWl+48LiL5lXQ5u+Z6aYTuW3bIMl9Foe/9QHXcbiCWs1JGikiacxzYz2CYiIiI/YNAtdyqVmAiq70D/rdMdzIxGkYXt1kMEbY4yhmufBfKPi9tPHQN+e0fAmux3lixf5+7AudOiUuHYr8CuD5rGXJ8FdI3uH1+hEKXflgnMsro1BdddxThsZ8hh3K2/Sr0DtYSVOlK8xieOgGObiYiIiHyHQXew0EQB0TEd7ycXnmRiPZF/TASOgy9qP2N4518C075AaKy3XYLLksEuLRJj392lUgOdulgF1l3F0nFJqWIuAE+DtkCNu/V3qXcgl7Dq3ltcJOHYZiIiIiKfYdBNocOSMZxzt38zhnIgSUBVOSJPHAYO7RGT1llKwyvLPDt2TFyrWcKbMtdpncTya4BVoHoGyM/1TqAaqHG3/i71DuQSVhzbTO2IiIjAuHHjUF9fj4iIiI7vQERERG1i0E2hI5AZQ38xmUSGujlrfaY5i61srEeKJ8dOSW+ZyMy6NDwhSWRD2+PLQNWfgWAgSr3lUEofCsG2P2d+DxMRERG4/PLLUVJSwqCbiIjIAwy6w00on5gGMmPobdpGEUzbBNZngOJCwGTs+P6ORKjEBHjN61p3awm0o6LdO2agxiT7QqAu3HAJK/cFYuZ3IiIiIhfwjCRchMOJqRwyhq6QJKCmsmmMdVPm2jLmuqLUs2NHRbdkqy0l4VldgbQs77/foVRhEKgLNyzzdl8gZn4PE5IkoaSkBBUVFUhPTw90c4iIiIJWiERb1KFwOTGVY8bQbAJKi1uW3bKe0KyhzrNjJ6eJLHWnrjCr1agySkiKj4cyKQXo3M0/F1VCqcLA3Qs33qogYbDtmlCqspAhg8GAV155BQDwyCOPsMSciIjITQy6w0Eonpg6CnICmTHUaYHisy2Za0tZePE5wGhw/7hKJZDRuVXmuqkkPDpW7JN3CDh+GHpNHBAfK9rir4sqwVZh0BFXLtw4qiDp3F3cxiDat0KpyoKIiIhCFoPucBBKJ6bOlsn7MtiprRJrWVtnrovOAOUlnh1XE900iZnVElxZ3YCMLLE8lyPNF1USgIgosa86En69qCLHCgN3uXLhpnUFSUMd8P0X4ncrKSU0h3HISShVWRAREVHI4llgOAilE1N/lcmbTSKItslaF4jMdV2NZ8dOTLYaZ22VuU5O63iW8LZYLqokpgAGqWW7Py+qhOKY5I6eQ1sVJPW1QG01oNcBXbqL2eZDcRiHXIRalQURERGFJAbd4SBUTkx9USav1zWtad16lvBzgEHvflsVSpGhtl5+yxJcx8S5f9y2WF9UibB6/oG4qBIKwbazWleQGPViTfT4RBFsS1JTPw3iYRzBIJSqLIiIiCgkMegOF6FwYupJmXxdrX05+PmzQNl5ERy5K1JjtfyWVWCd0bmpxNsPLBdVjh8GNCZArQB0jcF3USXYtK4gMRjEhZqICKsSfwTnMI5gEopVFkRERBRSGHSHC5VKnJQmpgIKAPFJwXdi2lGZvDoSKC+2XYLLEmDXVnv22PFJtuOtLUF2crqY6CzQOncH6uqAkmKguhLQBOFFlWDTuoJEpRIZ7oZ6IOfClqA7EBUH3ppNPZiE03MlIiKioMKgO1jotCKL5s6JpVzX6HY1MLC0+9ivQGWpCG7KzgNlxYBeC2xeI8rF3aVQAGmZtiXhlgnNLOXscmP93mq1AJRAWgZw4SAg1stl7GTPuoKkvg5ITBIXhWLjxIz1/h7GIdffdSA8LwQEuYiICFxyySWor6/ncmFEREQeYNAtd0ajyNTmlouA0p2TaLmt0e1sYNBQJ5679UzhhWc8LwlXRwKdutiPte7URWQkg4nNe5sC1NaL1ysugRN3+UPr0uYIFVB0OnDDOOT2uw60/fue1kn83sXEMQCXsYiICFx99dUoKSlh0E1EROQBBt1ydzpXBJoJ8e6dRMtxjW7rwCAxBagoBb75FNj3tThBP99UEl5d6dnjxMZbZautxl2nZgDKEDiBbP3eSk2T5KkVnLjL36yzt4FcJ15uv+uA7e97QhJw9hTw6z4xW3/XHPlk4omIiIh8hGc5cmY5iY6OFSfRCoXrJ9FyWaPbaARKCoGCEyK4rq4U611XlXs2SzjQkjVrzlp3A7K6inHYoay997amkhN3BVIgSqjl8rveuk3WFwKKzgBVFUB0jCi/N3JJNb9xo7xfkiRUVVWhtrYW6enpPm4gERFR6GLQLWc6LaDTAVHxtttdOYn29xrdjfVNy261WoKrtEhMMuUulbqpJDzbNmvdqWv4BpahtP46eU6O/cH6QoBlSbXoGDHEo75OTPinVrEyw5c8GOdvMBjwf//3fwCARx55hCXmREREbmLQLWeaKHFSatADiGnZ7spJtC/W6JYkEfRbAmvrmcKryl0/nrXoWKBzN9usdWY2kN4pNErCvan1e6uJBrT1gK4euNCF95YTXIUGX/yue6NNzWvIR4jPsth4QK9vWVZNoeCSar4kx3H+REREYYZBt5xZTqJzj4pxutGx7p1Eu7tGt8kkMtTNQbVV5rqxwbPnFh0rxnSmZABx8UBkFDDkImDwaHESTs6xvIdnToqy3chYoFc/5ybukvNM1+Qed3/XfcX6QkBUtLhwVlsNSGZxQU0dCdRVszLDV+Q6zp+IiCjM8Mxa7rr3BuoagNpy90+iW8+w3DqjqW0UwXTrwLq4EDAZ3W97hAro1Lll2S1L5jotEzjflCHX68RzsgR7gQ64Xcn6BnuGmBmw0NPR73ogWF8IUEeKoLtTF3HBra46sJn4UCfHcf5ERERhiEG33KlUIlDtO9D9dboBURKubbQNqi0l4RWlnrUxOqYlsLaeKTwt03HGVG6BgStZX29niD0J3q0D5/hEsWRY3hFx8aK9wJkZsNAmh98pC+sLAfV14oJbeUlLhjuQmfhQJ8dx/kRERGGIQXew0ESJ4LYjZhNQWmyVtW4KrIsKxLrXnkhOswqsu7asc52Y4l6G2puBgadZZ1eyvt7KEHsavHuyZBgzYORvlt/NlLTgrxIJFnIc509ERBSGGHQHK50WKD7bElBbguvic2IpHncplUBGZ6sZwi2TmnUV47DlxhtZZ1eyvt7MEHsavHuyZBgzYBRIDLb9R27j/ImIiMIQg265q62G+tQx4OiPtuOuy0s8O64mWqxlbSkHt2SuM7LErMLBwhtZZ1eyvt7KEHsjePckcGYGjCg8eDDOX6lUYuTIkWhoaIBSqfRxQ4mIiEIXg265KjgJrPgzlHU1SO14b8cSk1smMLNe4zo5LfCTlnnKm1lns1kEnNbBdFvBq7cyxN4I3j1dMizUM2AsYSZq4cbvgUqlwnXXXYeSkhKouKIBERGR2/hXVK6S00QQ6AyFUmSoW09klpUNxMT5tp2B5Gngal2aXl4CVJaJWZWzLxCzqreV9fVWhthbwbtN4FwJKFTOLxkmx5muvYFLoRERERGRjPAMVK7iEkQGt666ZVukxjagtvyc0VksxRNuPA1crUvTe/QFzp4SY+INeqBLd8dZX29kiL0VvFsHzo2NQG0t0KWrGJvvSltCIdi24FJoRF4hSRLq6+vR2NgISZIC3RwiIqKgxaBbzibMhFkZgaroeCT1HQhlaifXgqlQ50ng2lZpes9+QEq6CLqHXAwkJLV9X29liL1Z3q2JEhdetDrX7xtKuBQakdcYDAa89NJLAIBHHnkEERERAW4RERFRcGLQLWcTfguYzdCXlACpGQy42+Ju4OqoND0+URzHGZ5miEO1vDuQuBQahSLOT0BERBTUGHRTcHM3cJXTkllyOZEOhRN7Ob2vRJ7i/AREREQhgX+1KTS4GihyyawWoXRiz/eVQgnnJyAiIgoJrFem8JXTRwRikiRKjyUptJbMcpblxF6hFCf2CqX4f/6xQLfMPcHwvuq0QE2V+E7UltbzE6jUTRNsJrRcICMiIqKgEGRpLCIv4pjq0Jx4TM7vayhVFZBvcX4CIiKikMFMN5EmSsxULocTWH9nQC0n9lHRttujYsRa5c60Q65ZWzm9rxahVlUgN3Lti+6wnp/AGucnICIiCjpMrRDJQaAyoK0nHjPoxZdO2/GJPbO2rgnFqgK5CMW+KIP5CZRKJQYPHgytVgslV88gIiJyW5CejRB5gZxm6w7UhEmWE/vcg0DxOaChDmisF0FM/2FARDsfEZzkyTUsF/Ydb/VFOX0mAO4vieglKpUKU6dORUlJCVTBevGCiIhIBvhXlMKP3LJigc6A5vQBzuYD+ccBtRqIjgVi40QAnn+s7aAl0G0ORlzOzDe80Rfl9plgIef5CYiIiMhprBcj35Dz2Eq5jattPa7aoBcBb4TK+XHVnjAZgYgIkdkeOBLoNwTo0U+Mh3Y0S7I3xoKHG0sgV1ctvoyGpp9rxHYGU+7xRl+U22dCawGan0CSJOj1ehgMBkiS5NfHJiIiCiXMdJP72irFlGvGyEKOGVrL69dQB9TXAhVlgFEPmExAQrLvXzfrsmeVVQa2vbJnZm3dE+By4ZDkaV+U42eCTBgMBrzwwgsAgEceeQQREREBbhEREVFwkkEUREGnvcBa7uN85Tiu1vL67fkCqKkG4hNF5rmhXgQOhad9P67b1aBFBpM8BSWWC3ufp31Rjp8JREREFFJYXk6uc1SKmXvANmOkUovvcQmOy5T9Ta7L8GR1F+WxUVGA2QQoI4CcC4FuPX3/2rlb9pzTRwQ1kiSCE0myz9rKeZhBIMlxObNg5kxfdESunwlEREQUMpjpJte0V4p5Nh+QzEBqJ9v7yCljJNcMrckIJKYCXXIACWJCM1WkCID98dq5U/bcXtZW7sMMKLR4UkEg188EIiIiChk8+yXXtFeKWV8rst5yH+crx3G1liDBaGq5mAH477XzNGhpva/chxlQaHK3XF+OnwlEREQUMhh0k2vaG/8bEwekdQJO50HWGSM5jquVS7bNG68FJ6bqmNzWgw53cvxMICIiopDBoJtc01FwmNMHUEcGR8ZIbifWoZJta6sawqAX42wb6uQxzCBQWHYvb3L7TCAiIqKQwLM8cl17wWE4ZIx8laUMldfOuhoiWgmUnBPLoNXXiLXHz50CYgaFZ5DJsnsKIkqlEv369YNOp4NSyXlXiYiI3BWGZ73kMWeCw2ANGNvjryxlsL921tUQxeeAylKxBJpCCSSniuEH6sjwCzJZdk9BRqVSYebMmSgpKYEqHC+SEREReQkvXZP7wm3ZI0dLpeUfC3TL5Cenj1jurKpclJVrooGuOUBOb3ktIedPlgqJqGjb7VExgF4Xfq8HERERUZjgpWsiZzBL6RqVCujaA+h6UkywFx0jlkAD5LWEnD+1NwmhnGb3JyIiIiKvYqabPKPTAjVVoZ+lY5bSdZooEXArlC0BNxC+Qaal7L6uWnwZDU0/14jt4fZ6kOzp9Xo8/fTTeOWVV6DX6wPdHCIioqDFTDe5J9xmYdZEAcoIoLIcSEoRY5KB8A0gneGLZdCCfamtUJmhnoiIiIicFoLREflFOM3CbDQCBSeAyhKgsACIjQcyssR49oZ6ea1B7gx/Bq7eCjJD5SJPqMxQT0REREROC6KzVZKNcBvfbLnAkN5ZTAhWWgTk5wKZ3YCho4MnSxmIwNVbQWaoXeRhsE1EREQUNhh0k+ssmdKkVNvtoThBVusLDAnJQGZXoKpClJtn9wyeTGsgA1dPgsxwu8hDRERERCGFE6mFK08mQLOehdnCoAcqy8SkWaEUALU1gZoqUgStkjl4JlBrHbiq1OJ7MCzfxUnsiIiIiCiIBUmKjrzGGyXG1hNkmY0ieC8pAuprgc7ZYvxzsI21dSRUlnkK5uqEUHkPiIiIiCgsMdMdbiwlxgqlCMAUSvH//GOuHSenj5gQq+S8GN+sAHBBbzHu2Z3jyVWoLPPUVnUCEByBa6i8B0RBRqlUolevXujWrRuUSp4uEBERuSsEUpHkNG+OjVWpxP5nTooltJJSWtZiVipDa6xtKCzz5Ivlu/wpFN4DoiCjUqkwe/ZslJSUQBUKlUtEREQBwr+i4cTbJcY6LWA2ieOprMp+g6Fk2RWhssxTMAeuofIeEBEREVHYYdAdTrw9NjbcxtoGe6AXCoFrMLaZiIiIiMIaB2mFE2+PjeVY2+CkiQISkvj+EFG79Ho9nn/+ebz++uvQ6/WBbg4REVHQYqY73Hi7xDiYS5aJiKhdBoMh0E0gIiIKerIKujMyMnD48GGkpaU53OfNN9/EnXfeCbVabbO9R48e+Omnn3zdxODn7RLjUChZDiUGPVBTDURH830gIiIiIpIBWQTd9fX1eO2111BaWtrhviaTCePHj8fOnTv90LIQ5u3gmMF2YBmNwKmjwJnTgNkARLmx/joREREREXldwM/G16xZg0WLFsFsNge6KUTBxzIj/dmTwOkTgCZOLN+m0zYtDwZRiUBERERERAER8InUFixYgIaGBmi12kA3hSh4GI1A3iFg7y7gu8+A7/4HNNSJMfUqtViHPS5BjLXX8XeLiIiIiChQAp7pdkdxcTHmzZuHTz/9FHq9HiNGjMCyZcswYIDjjJ5Op4NOp2v+f01NDQDAbDbLOstuNpshSZKs20gBcOookHdEBNbRsYDJCHNlKSRNPMwxncU+mmiguhJobATUkYFtL8kKP1fIGdb9Q+5/Kymw+JlCzmJfIWcFS19xtn1BF3R37twZ6enpmDJlClauXAmTyYRXX30Vl112GY4cOYLMzMw27/fcc89h6dKldttLS0tlnWU3m82orq6GJElQKgNemEByYNCLsduaOCAiCjAZgMQMmA16VDc0QqprgFKlBrT1gEIF1NYCWl3Hx6Wwwc8VcobRaERWVhaMRiPKysoQGcmLd9Q2fqaQs9hXyFnB0ldqa2ud2k8hSZLk47Y4TaFQoLS0tN3Zyx25/vrrMX78eCxcuLDN29vKdGdnZ6OyshIJCQlut9nXzGYzSktLkZ6e7rsOp9MCOh2g0XAytGBQUw388KUYu61qmsW/qADmc/kojYxBek4P0VfqaoFe/YCe/QPbXpIdv3yuUEhgXyFnsJ+Qs9hXyFnB0ldqamqQnJyM6urqdmPKoMt0O3LhhReisLDQ4e0ajQYajcZuu1KplPUbCYiLET5pp9EI5B9rGfer4YzXQSE6WsxOrtO2lI1ndgEa66Fo0ELZ2ABlbBxwYdN66TLv3xQYPvtcoZDDvkLOYD8hZ7GvkLOCoa842zb5PoMmztTJm0wm7Nq1C0OHDvV9g0JJ/jExw7VCCSSliu95h8V2ki/LxZG6avFlNIhJ1GLigL6DgYuvAi66QsxazosnREREREQBJeug+7vvvkNCQgJOnTrVvO3f//437r33XuTm5gIACgoKcOutt0KtVuOmm24KVFODj04rMtxxiWIyLs54HVxy+gC9+gOSBFRXiO+9+gGdc4CERA4TICKP6fV6rFixAhs2bIBerw90c4iIiIKWrIPu6OhoxMbGQq1WN2+75pprkJCQgGnTpiE2NhajR49GRkYGPvvsM6iY1XOeZX3nqGjb7VExgF7HoFunBWqq5Ps6qFQik33RFcCoy8X3nv2BiIhAt4yIQgiX9CQiIvKcrKLU1nO6DR06FMXFxTbb0tPT8eyzz+LZZ5/1Z9NCjyZKfGkbgbiWixrQNoi1nsM1Uxps49wt7yMAyHxJBSIiIiKicCTrTDf5UFvjguuqgboasd1bQbfcM8atcZw7ERERERF5kQxTd+Q3OX3E96ICMS44UiPGCVu2eyLYMsaA/Th3oKkKQBLbs3uGbwUAERERERG5RabRD/mFZVxwds+WwNhbQaUlYxyXKDLG2kbxf0A8phxZxrknpdpuj4oRFyUsrxEREREREZGTWF5OIpBMSPJuSXkwzoxuPc7dWriPcyciIiIiIrcx6CbvC9aZ0f01zp2IKAgoFApkZWUhPT0dCoUi0M0hIiIKWiwvJ+8L5pnRfTnOnYgoiKjVatxxxx0oKSmxWbqTiIiIXMOgm7zPkjHOOwxAEhlubYPIGPfqL++g25fj3ImIiIiIKOww6CbfCPaMMYNtIiIiIiLyAgbd5BvMGBMRBTWDwYDVq1fDZDLhnnvugUajCXSTiIiIghKDbvItBttEREFJkiRUV1c3/0xERETu4ezlRERERERERD7CoJuIiIiIiIjIRxh0ExEREREREfkIg24iIiIiIiIiH2HQTUREREREROQjnL2ciIiI7CgUCqSlpcFkMkGhUAS6OUREREGLQTcRERHZUavVWLBgAUpKSqBWqwPdHCIioqDF8nIiIiIiIiIiH2HQTUREREREROQjDLqJiIjIjsFgwJo1a/DWW2/BYDAEujlERERBi2O6iYiIyI4kSSgrK2v+mYiIiNzDTDcRERERERGRjzDoJiIiIiIiIvIRBt1EREREREREPsKgm0KbTgvUVInvREREREREfsaJ1Cg0GY1A/jGgqEAE3JooICsbyOkDqNjtiYiIiIjIP5jpptCUfwzIOwwolEBSqvied1hsJyKiDikUCiQmJiIuLg4KhSLQzSEiIgpaTPlR6NFpRYY7LhGISxDb4tQAJLE9u6fIfBMRkUNqtRr33XcfSkpKoFarA90cIiKioMVMN4UenVZ8RUXbbo+KAfQ6ju8mIiIiIiK/YdBNoUcTJb60jbbbtQ1ApIZZbiIiIiIi8hsG3RR6LJOm1VWLL6Oh6ecasZ1BNxFRhwwGA9atW4dt27bBYDAEujlERERBi2O6KTTl9BHfiwqA6gqR4e7Vv2U7ERG1S5IkFBUVNf9MRERE7mHQTaFJpQJ6DRCTplmWDGOGm4iIiIiI/IxBNwWeZeIzXwTGDLaJiIiIiCiAGHRT4BiNYt3sooKWoDsrW5SAq9g1iYiIiIgo+HEiNQqc/GNA3mFAoQSSUsX3vMNiOxERERERUQhg0E2BodOKDHdcIhCXAKjU4ntcQkvmm4iIiIiIKMixhpcCwzKOOynVdntUjJht3FJuTkREARMTEwOz2RzoZmD9+vU4ffp0m7fNmDEDAwcOBACUlZXhww8/REFBASIjIzFkyBBceeWViIiI8GdziYiIbDDopsCwTHCmbQTi1C3btQ1ieS8G3EREARUZGYlFixahpKQEkZGRAW3LpEmToNPpbLZ9//33OHLkCHr06AEAaGxsxIYNG5Camoobb7wRtbW1+Pjjj2EwGDBx4sRANJuIiAgAg24KFMukaXmHAUgiw61tAOpqxHraDLqJiKhJenq63bZz586hZ8+eiImJAQDs27cPOp0ON910E6KjowEAZrMZH3zwAcaOHYv4+Hi/tpmIiMiCQTcFTk4f8b2oQJSUR2pEwG3ZTkREsiZJEvbt24effvoJZWVliIyMRHZ2NqZNm4aoKN9dPC0oKEBVVRWuvPLK5m15eXno0aNHc8ANAAMGDMDOnTtx4sQJDB061GftISIiag+DbgoclQroNQDI7um7dbqJiMgtBoMBmzZtgl6vx9y5c6HRaGxulyQJ27Ztw7FjxzBmzBh07doVDQ0NOHDggF05uiRJkCSpw8dUKp2b3/XXX3+FWq1Gnz4tF2nLysowbNgwm/2ioqIQHx+PsrIyp45LRETkCwy6KfAYbBMRyY4kSc2Tl7UVMO/duxdHjhzBvHnz0Llz5+btgwYNstv3l19+wXvvvdfhY95///1ISkpqdx+z2YxDhw6hT58+NsG9VqttM7seFRWFxsbGDh+biIjIVxh0ExERkUskScLu3bsxYsQIm4Dbkd69e2P+/Pkd7ufMuOsTJ06goaGhzeCeiIhIjhh0ExERkUtKS0tRV1eHfv36ObV/dHS0U2O8nSkvP3jwIKKjo9GzZ0+b7VFRUdBqtXb7a7Vam3HeRERE/sagm4iIiFxSV1cHAIiLi3Nqf2+VlxsMBhw9ehSDBg2yW3s7LS0N5eXlNtu0Wi1qa2uRlpbmVDuJiIh8gUE3ERERucQSbJeWljoV0HqrvPzYsWPQ6/Vtlpb36tULu3fvthnbffjwYSgUCrusOBERkT8x6CYiIiKXpKWlITMzEx999BG0Wi2SkpJQUVGBwsJCTJkyxW7/mJiY5vW0PXHw4EEkJiaiW7dudreNHDkSe/fuxZYtWzB27FjU1NTg008/xciRI7lGNxERBRSDbiIiImqTWq1uc+ZypVKJWbNm4dNPP8Xnn38OnU6H5ORkjBw50mdtaWxsRF5eHkaPHg2FQmF3e3R0NG699VZ8+OGH2LJlCzQaDYYNG4arrrrKZ20iIiJyhkJyZuHMEFRTU4PExERUV1cjISEh0M1xyGw2o6SkBBkZGU6vX0rhiX2FnMW+Qs5iXyFnsJ+Qs9hXyFnB0lecjSnl+wyIiIiIiIiIghyDbiIiIiIiIiIfYdBNREREdoxGIzZv3owPP/wQRqMx0M0hIiIKWpxIjYiIiOyYzWbk5eU1/0xERETuYaabiIiIiIiIyEcYdBMRERERERH5CINuIiIiIiIiIh9h0E1ERERERETkIwy6iYiIiIiIiHwkbGcvlyQJAFBTUxPglrTPbDajtrYWUVFRUCp5jYQcY18hZ7GvkDP0ej20Wi0A8bdSr9cHuEUkV/xMIWexr5CzgqWvWGJJS2zpiELqaI8QdfbsWWRnZwe6GURERERERBTECgoK0LVrV4e3h23QbTabUVhYiPj4eCgUikA3x6GamhpkZ2ejoKAACQkJgW4OyRj7CjmLfYWcxb5CzmA/IWexr5CzgqWvSJKE2tpadO7cud2MfNiWlyuVynavRshNQkKCrDscyQf7CjmLfYWcxb5CzmA/IWexr5CzgqGvJCYmdriPfAvkiYiIiIiIiIIcg24iIiIiIiIiH2HQLXMajQZPPvkkNBpNoJtCMse+Qs5iXyFnsa+QM9hPyFnsK+SsUOsrYTuRGhEREREREZGvMdNNRERERERE5CMMuomIiIiIiIh8hEG3DM2fPx8DBw6027527Vr06NED8fHxGDduHH799dcAtI4Caf78+YiPj0dSUpLN13333WezH/sKAcCWLVswbNgwJCYmolevXnjwwQdhGVFkNpvx1FNPoUuXLkhMTMTkyZNx5syZALeY/G3WrFl2nydJSUmIjo7G7t27AbCvUIvi4mLMmzcPXbp0QVJSEsaMGYPPPvvMZh/+/SEAOHjwICZMmIDU1FRkZmZi4cKFaGhoaL6dnysEABkZGSgrK7Pb7sznSEFBAaZOnYrExER07twZS5cuhdls9kez3cKgW2a2bduGjz76yG77q6++ijfeeAP/+9//UF1djbvuugvXXXcdiouLA9BKChSDwYAnn3wSVVVVNl8rV65s3od9hQDgpZdewrPPPos1a9aguroaX331FeLj45v/ID3++OP44Ycf8PPPP6OsrAxXX301fvOb30Cr1Qa45eRPW7Zssfs8+emnn5CQkIARI0YAYF+hFpMmTUJKSgqOHj2K0tJSLFiwANOnT8ehQ4cA8O8PCcePH8fYsWNx4403orCwEPv27cOpU6cwdepU/g0iAEB9fT1efvlllJaW2t3mzOdIfX09rr76akycOBHl5eX48ccfsXv3bixdutSfT8M1EsnGuXPnpH79+klbt26VBgwY0Ly9sbFRSk5Olo4cOWKz/3333Sc99NBD/m4mBdDcuXOlZcuWObydfYUkSZKOHTsmpaamSufPn2/z9rNnz0rx8fFSZWWlzfbrr79eWrVqlR9aSHJ23333SX/5y18kSWJfoRYnTpyQEhMT7bZff/310tq1a/n3h5rdc8890oIFC2y2abVaqX///tKmTZv4uRLm/vGPf0jR0dGSRqORAEilpaXNtzn7OfL8889LN910k80+xcXFUnx8vFRWVubbJ+AmZrplQpIkzJ07F8uWLUNGRobNbbt27UK3bt3Qt29fm+033XQT3nvvPX82k2SOfYUAYN26dfjd736HTp06tXn7+++/jyuvvBJJSUk229lPqLq6Ghs3bsTdd98NgH2FWqSkpECr1SI/P795W3V1NQ4cOIBRo0bx7w81O378OC6++GKbbRqNBrfffjveeecdfq6EuQULFqChoaHNqgZnP0e2b9+OWbNm2eyTkZGBiy++GB9//LFvGu4hBt0ysWLFCvTu3RuTJk2yu+3IkSPo3bu33faePXsiLy8PBoPBH00kmfjhhx8wceJEpKenIycnB/Pnz0dFRQUA9hUSvv32W4wZMwYbNmzAyJEjkZaWhksuuQSffvopgPb7yZEjR/zdXJKRdevWYdKkScjKygLAvkItkpKS8Ne//hVjxozB8uXLsXHjRkyaNAlLly7F8OHD+feHmmVnZyM3N9du+5kzZ5Cbm8vPFXLI2c+RYOxDDLplYP/+/di4cSOWL1/e5u11dXVITk62256SkgJJklBfX+/rJpJMDBgwAEqlEk8++SQKCwuxe/du1NbWYvLkyZAkiX2FAAAlJSVYuXIl3n//fbz55psoLCzEn/70J8yYMQM//vhju/2ktrY2AC0mOTCZTFi1ahUWLlzYvI19hazddNNNGDVqFN544w289dZbyM/Px8GDB9HQ0MC/P9Ts9ttvx+rVq/Hf//4XRqMRp0+fxu233469e/fCaDTyc4UccvZzJBj7EIPuAGtsbMRtt92GN954A9HR0W3uExcXh6qqKrvtVVVVUCgUiI2N9XErSS4efvhhbN68GaNHj4ZarUbXrl2xYcMGHD9+HPv372dfIQBAZGQk+vfvj3feeQf9+vVDZGQkpk+fjgULFuC1115rt5/Ex8f7v8EkC9u3b0f37t0xbNiw5m3sK2TxySef4NJLL8W8efNw6NAh/Oc//8GBAwdw6tQpzJgxg39/qNnFF1+MTZs2YenSpcjMzMSMGTMwbtw4/OUvf0FmZiY/V8ghZz9HgrEPMegOsH379iE3Nxfjx49vXqpl8uTJOHLkCJKSkjBz5kz07t0beXl5dvfNzc1Fz549oVarA9BykguNRoNu3bqhsLCQfYUAAH369EFOTo7d9v79+yM/P7/dftJ6HBWFj7/97W82WW4A7CvU7IknnsCyZctw/fXXN29LSUnB66+/jk8++QQpKSn8+0PNJk6ciD179qCsrAz79u3D3Llz8emnn+Kyyy7j5wo55Ox5bDD2IQbdATZ27Fg0NDTYLNeyc+dO9OvXD1VVVXjnnXdwxRVXIDc3165zvfvuu5g6dWqAWk5yUVRUhKNHj2LQoEHsKwQAmDFjBl5//XW7SUr27duH3r17Y+LEifjkk09QU1Njczv7Sfjau3cviouLMWXKFJvt7CtkTam0P208e/YsNBoNZs6cyb8/5NCpU6fw5ptv4vbbb+fnCjnk7Hns5MmT8dZbb9nsU1ZWhj179mDChAl+aavLAjl1OrXtiy++sFkyTJIk6YUXXpAuvfRS6ezZs5LRaJQ2bdokZWdnS8XFxQFqJQXCokWLpBUrVkglJSWSyWSS9u3bJw0fPlxatGhR8z7sK2Q0GqWrrrpKmjBhgnTq1ClJp9NJb775ppSSkiLl5eVJkiRJCxYskKZPny6Vl5dLOp1OWrFihdSvXz+psbExwK2nQJg1a5a0cuXKNm9jXyFJkqR//vOfUpcuXaSPPvpI0ul0kk6nkz7//HOpT58+0nPPPSdJEv/+UIvHHntMKioqkiRJnNf26tVLWr16dfPt/FwhSZLslgyTJOc+RyoqKqTs7Gzpn//8p2QymaSzZ89KV111lbRkyRJ/PwWnMeiWobaCbkmSpOXLl0vdu3eXYmNjpSuuuEI6dOhQAFpHgXTgwAFp3rx5UteuXaWYmBipb9++0qpVqySz2WyzH/sK1dfXSw888ICUkZEhxcTESOPHj5d++umn5tv1er306KOPSllZWVJ8fLx0/fXXS2fPng1giylQCgoKpLS0NKm2trbN29lXyOLdd9+VLrnkEiklJUVKS0uTxo0bJ73//vs2+/DvD0mSJD366KNSjx49pLi4OGno0KHSO++8Y3M7P1dIktoOuiXJuc+R3NxcacKECVJ8fLyUlZUlPfPMM3bnw3KikCRJCnS2nYiIiIiIiCgUcUw3ERERERERkY8w6CYiIiIiIiLyEQbdRERERERERD7CoJuIiIiIiIjIRxh0ExEREREREfkIg24iIiIiIiIiH2HQTUREREREROQjDLqJiIiIiIiIfIRBNxEREREREZGPMOgmIiKioDF9+nQMGjTIbvvKlSuhVCqxbdu2ALSKiIjIMQbdREREflJeXo7HHnsMffr0QUJCAlJTU3H11VfjjTfegNFotNv/66+/hkKhwNatW+1uu/POOxEXF9f8pVarERkZabPtzjvv9Fpb5GLhwoU4ePAgPvvss+ZtX375JRYtWoRHH30UN9xwQwBbR0REZE8hSZIU6EYQERGFuoaGBgwfPhzDhw/HM888gx49eqCqqgrvv/8+/vrXv+LDDz9ETk6OzX1mzZqFEydOIC4uDl988UW7x7/tttuQlJSEl19+2SdtkZMRI0YgMzMTH3zwAc6ePYsRI0ZgxIgR2LlzJ5RK5hOIiEheGHQTERH5wY4dO7BgwQIUFhZCoVDY3KbX6yFJEjQaTfO28+fPo1evXjh06BBGjBiBb775Bn369HF4fFeCblfbIjcbN27Erbfeip9//hnz589HZWUlfvjhByQlJQW6aURERHZ4OZiIiMgP4uPjUV1djSNHjtjdFhkZaRfkvvbaa5gyZQq6d++O2bNn45VXXglIWyRJwurVq9G/f3/ExcUhKysLv//971FQUAAAMBqNePrpp3HBBRcgJiYG/fr1s2nr+vXrMX36dKxcuRJdunRBZGQktFotTCYTnnnmmeb7DR48GP/973+dav9NN92ErKwsjB8/HocPH8b27dsZcBMRkWwx6CYiIvKDK6+8EjfeeCNGjBiBW2+9Fdu2bUNtbW2b+5pMJrzyyiu46667AADz5s3Dhg0boNVq/d6W++67D6+++io2bNiAmpoa/Pzzz0hJScGOHTsAoPn+O3bsQE1NDdasWYPnnnsOixcvbj7Gl19+iS1btmDv3r2or69HVFQUbrvtNvznP//BRx99hLq6Ojz77LO48cYb8csvv3TYfrVajUmTJqGyshKrV6/GwIEDvfK6EBER+QKDbiIiIj9QKBRYv349vvnmG3Tv3h1//etfkZ6ejiuvvBJvv/22zb7vvfceUlJSMHbsWADAsGHD0K1bN7v9fN2W/fv3Y926dXjvvfcwatQoKJVKZGZmYsWKFfjDH/6APXv2YPv27di2bRuGDBkClUqFK664Alu3bsXzzz+PwsJCAEBVVRXWr1+PLl26QK1WY+/evdi6dSveeecd9OnTB0qlElOmTMG8efOwYsWKDtv/9ddfY/369QCAc+fOeeU1ISIi8hUG3URERH40fPhwPP3009i3bx/OnDmDSy+9FLNmzcLf/va35n1Wr16NvLw8ZGZmNn8dO3YMa9eu9WtbPv/8cwwbNqzNSdU0Gg2+/vprDBs2DBdccIHNbaNHj0ZaWhq+/fZbAEDfvn3Ru3fv5tu/+uormM1mDB48GElJSc1fb7zxBnJzc9ttc0FBAWbOnIkJEyZg/vz5WL16NQwGg4evBBERke+oAt0AIiKicJWRkYFnnnkG586dwz//+U8sXLgQR48exe7du3HgwAEkJiY271teXo4hQ4bg119/bXOdal+0pSMKhcJuIjbr2ywziWdkZNjddvHFF2P37t0utVGr1WL69OlITk7Gxo0bUVhYiHXr1mHr1q24+eabXToWERGRvzDTTURE5Ae5ubkOx03X19cjPT0dAPCPf/wDkydPRp8+fWwy3QMGDMDVV1/tlQnVnG3LlVdeiZ9//hknT56020+r1WLcuHH4+eefmydVs9i7dy/KyspwySWXtPkYY8eOxS+//IKSkhK728rKyhy2e/78+Th+/Dh27NiBhIQE9O3bFxMmTLCpEiAiIpIbBt1ERER+sHfvXgwcOBCrV69GeXk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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_rdd_regression(beta_0=2.0, beta_1=0.015, beta_2=0.5, beta_3=0.005)" + ] + }, + { + "cell_type": "markdown", + "id": "b9ae9c1d", + "metadata": {}, + "source": [ + "그래프를 볼 때 주목해야 할 것들이 있습니다.\n", + "\n", + "**기준점 근방을 보세요.** RDD의 인과적 추론은 기준점(70점) 바로 좌우에만 성립합니다. 기준점에서 멀리 떨어진 40점대와 95점대 학생의 GPA가 다른 것은 장학금 효과가 아니라 학생 간 능력 차이일 수 있습니다. 두 집단의 **회귀선이 기준점에서 만나지 않고 뛰어오르는 것**, 그 점프만이 인과적 해석이 가능합니다.\n", + "\n", + "**기울기가 다를 수 있습니다.** 처치 집단(오른쪽)과 미처치 집단(왼쪽)의 회귀선 기울기가 달라도 됩니다. 점수가 높을수록 GPA가 오르는 경향이 처치 여부에 따라 다를 수 있기 때문입니다. 섹션 5의 회귀식에서 $\\beta_3$ 항이 이 기울기 차이를 처리합니다.\n", + "\n", + "**점프가 클수록 효과가 크다는 뜻은 아닙니다.** Sharp RDD에서 점프가 곧 처치 효과 추정값이지만, Fuzzy RDD에서는 Y의 점프를 D의 점프로 나눠야 합니다. 이 차이는 다음 챕터에서 다룹니다." + ] + }, + { + "cell_type": "markdown", + "id": "50000001", + "metadata": {}, + "source": [ + "## 7. 코드 예시 (Python)\n", + "\n", + "시뮬레이션을 직접 실행해보겠습니다. 수능 점수 70점을 기준으로 장학금이 주어지고, 장학금의 진짜 효과는 GPA 0.5점이라고 설정합니다. 이 설정 아래에서 RDD가 효과를 제대로 복원해내는지 확인해봅시다.\n", + "\n", + "핵심 과정은 이렇습니다. 기준점을 중심으로 왼쪽과 오른쪽에 각각 회귀선을 적합하고, 기준점에서의 두 절편 차이를 처치 효과로 추정합니다." + ] + }, + { + "cell_type": "code", + "execution_count": 42, + "id": "50000002", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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scoretreatedgpascore_c
070.05575212.7694920.055752
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" + ], + "text/plain": [ + " score treated gpa score_c\n", + "0 70.055752 1 2.769492 0.055752\n", + "1 78.710320 1 2.569921 8.710320\n", + "2 97.172015 1 2.588147 27.172015\n", + "3 86.065729 1 2.460113 16.065729\n", + "4 68.748219 0 1.838636 -1.251781\n", + "5 89.957620 1 2.320030 19.957620\n", + "6 78.774072 1 2.793793 8.774072\n", + "7 40.977001 0 1.911363 -29.022999" + ] + }, + "execution_count": 42, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "n = 500\n", + "cutoff = 70\n", + "true_effect = 0.5\n", + "\n", + "score = np.random.uniform(40, 100, n)\n", + "treated = (score >= cutoff).astype(int)\n", + "gpa = (\n", + " 2.0\n", + " + 0.015 * (score - cutoff) # running variable의 자연스러운 효과\n", + " + true_effect * treated # 장학금 효과\n", + " + np.random.normal(0, 0.25, n)\n", + ")\n", + "\n", + "df = pd.DataFrame({\n", + " 'score': score,\n", + " 'treated': treated,\n", + " 'gpa': gpa,\n", + " 'score_c': score - cutoff, # 기준점 중심화\n", + "})\n", + "\n", + "df.head(8)" + ] + }, + { + "cell_type": "code", + "execution_count": 43, + "id": "50000003", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "기준점 왼쪽 절편: 2.0218\n", + "기준점 오른쪽 절편: 2.4957\n", + "추정된 처치 효과: 0.4739\n", + "진짜 처치 효과: 0.5\n" + ] + } + ], + "source": [ + "# 기준점 좌우 각각 OLS 적합\n", + "model_left = smf.ols('gpa ~ score_c', data=df[df['treated'] == 0]).fit()\n", + "model_right = smf.ols('gpa ~ score_c', data=df[df['treated'] == 1]).fit()\n", + "\n", + "y_at_c_left = model_left.predict(pd.DataFrame({'score_c': [0.0]}))[0]\n", + "y_at_c_right = model_right.predict(pd.DataFrame({'score_c': [0.0]}))[0]\n", + "estimated_effect = y_at_c_right - y_at_c_left\n", + "\n", + "print(f\"기준점 왼쪽 절편: {y_at_c_left:.4f}\")\n", + "print(f\"기준점 오른쪽 절편: {y_at_c_right:.4f}\")\n", + "print(f\"추정된 처치 효과: {estimated_effect:.4f}\")\n", + "print(f\"진짜 처치 효과: {true_effect}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "id": "50000004", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, ax = plt.subplots(figsize=(10, 6))\n", + "\n", + "left = df[df['treated'] == 0]\n", + "right = df[df['treated'] == 1]\n", + "\n", + "ax.scatter(left['score'], left['gpa'], color='tomato', alpha=0.35, s=20, label='미처치')\n", + "ax.scatter(right['score'], right['gpa'], color='steelblue', alpha=0.35, s=20, label='처치')\n", + "\n", + "s_left = np.linspace(40, cutoff, 100)\n", + "s_right = np.linspace(cutoff, 100, 100)\n", + "ax.plot(s_left, model_left.predict(pd.DataFrame({'score_c': s_left - cutoff})), color='tomato', linewidth=2.5, label='회귀선 (미처치)')\n", + "ax.plot(s_right, model_right.predict(pd.DataFrame({'score_c': s_right - cutoff})), color='steelblue', linewidth=2.5, label='회귀선 (처치)')\n", + "\n", + "ax.scatter([cutoff], [y_at_c_left], s=100, color='tomato', zorder=6, facecolors='none', edgecolors='tomato', linewidths=2)\n", + "ax.scatter([cutoff], [y_at_c_right], s=100, color='steelblue', zorder=6)\n", + "ax.annotate('', xy=(cutoff, y_at_c_right), xytext=(cutoff, y_at_c_left),\n", + " arrowprops=dict(arrowstyle='<->', color='black', lw=2.5))\n", + "ax.text(cutoff + 0.8, (y_at_c_left + y_at_c_right) / 2,\n", + " f'$\\\\hat{{\\\\tau}}_{{SRD}}$ = {estimated_effect:.3f}',\n", + " fontsize=12, va='center', fontweight='bold')\n", + "\n", + "ax.axvline(cutoff, color='gray', linestyle=':', linewidth=1.5)\n", + "ax.text(cutoff + 0.3, 1.65, f'Cutoff = {cutoff}', fontsize=11, color='gray')\n", + "\n", + "ax.set_title('Sharp RDD 추정: 장학금이 GPA에 미치는 효과', fontsize=14, fontweight='bold')\n", + "ax.set_xlabel('수능 점수', fontsize=12)\n", + "ax.set_ylabel('GPA', fontsize=12)\n", + "ax.legend(fontsize=10)\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "60000001", + "metadata": {}, + "source": [ + "## 기타.\n", + "\n", + "RDD를 적용할 때 자주 마주치는 오해와, 분석 전에 반드시 확인해야 할 것들을 정리합니다.\n", + "\n", + "### 흔한 오해들\n", + "\n", + "\"기준점 근방만 보면 된다\"는 말은 맞지만, **얼마나 가까운 범위**를 써야 하는지는 임의로 정할 수 없습니다. 너무 좁으면 데이터가 부족해 분산이 커지고, 너무 넓으면 기준점에서 멀리 떨어진 개체들이 섞여 편의가 생깁니다. 이 범위를 **bandwidth** 라 하며, 최적 bandwidth는 별도의 알고리즘(Imbens & Kalyanaraman, 2012)으로 선택합니다.\n", + "\n", + "\"RDD는 무작위 실험과 동일하다\"는 것도 정확하지 않습니다. 기준점 *근방*에서만 준무작위화가 성립합니다. 기준점에서 멀리 떨어진 집단에 대한 효과는 추정하지 않으며, 외부 타당성(external validity)이 낮을 수 있다는 점을 인식해야 합니다.\n", + "\n", + "### Validity 체크: McCrary Density Test\n", + "\n", + "가장 중요한 체크는 **조작(manipulation) 여부** 입니다. McCrary(2008)가 제안한 방법은 간단합니다. Running variable의 분포가 기준점에서 연속인지 확인합니다.\n", + "\n", + "만약 학생들이 70점을 목표로 의도적으로 점수를 관리하거나, 채점자가 특정 학생을 밀어준다면, 기준점 바로 위에 개체가 비정상적으로 몰릴 것입니다. 반대로 오른쪽에 몰리기를 피하려는 경우라면 왼쪽이 빌 수도 있습니다. 어느 경우든 히스토그램에서 기준점 근방의 갑작스러운 밀도 변화로 나타납니다." + ] + }, + { + "cell_type": "code", + "execution_count": 45, + "id": "60000002", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1, 2, figsize=(14, 5))\n", + "\n", + "# ── 왼쪽: 조작 없음 ──\n", + "ax = axes[0]\n", + "score_clean = np.random.normal(70, 12, 600)\n", + "score_clean = score_clean[(score_clean >= 40) & (score_clean <= 100)]\n", + "\n", + "ax.hist(score_clean[score_clean < cutoff], bins=20, color='tomato', edgecolor='white', alpha=0.8, label='점수 < 70')\n", + "ax.hist(score_clean[score_clean >= cutoff], bins=20, color='steelblue', edgecolor='white', alpha=0.8, label='점수 ≥ 70')\n", + "ax.axvline(cutoff, color='black', linestyle='--', linewidth=2)\n", + "ax.text(cutoff + 0.5, ax.get_ylim()[1] * 0.92, f'Cutoff = {cutoff}', fontsize=10, color='black')\n", + "ax.set_title('정상: 기준점에서 밀도 연속', fontsize=13, fontweight='bold')\n", + "ax.set_xlabel('수능 점수', fontsize=11)\n", + "ax.set_ylabel('빈도', fontsize=11)\n", + "ax.legend(fontsize=10)\n", + "ax.text(0.05, 0.90, 'McCrary test\\n유의하지 않음 ✓', transform=ax.transAxes,\n", + " fontsize=10, color='green', fontweight='bold',\n", + " bbox=dict(boxstyle='round,pad=0.4', facecolor='white', alpha=0.8))\n", + "\n", + "# ── 오른쪽: 조작 의심 ──\n", + "ax2 = axes[1]\n", + "score_below = np.random.normal(62, 8, 300)\n", + "score_below = score_below[(score_below >= 40) & (score_below < cutoff)]\n", + "score_above = np.concatenate([\n", + " np.random.normal(78, 7, 200),\n", + " np.random.uniform(70, 73, 120) # 기준점 직후에 비정상적으로 몰린 개체들\n", + "])\n", + "score_above = score_above[(score_above >= cutoff) & (score_above <= 100)]\n", + "\n", + "ax2.hist(score_below, bins=20, color='tomato', edgecolor='white', alpha=0.8, label='점수 < 70')\n", + "ax2.hist(score_above, bins=20, color='steelblue', edgecolor='white', alpha=0.8, label='점수 ≥ 70')\n", + "ax2.axvline(cutoff, color='black', linestyle='--', linewidth=2)\n", + "ax2.text(cutoff + 0.5, ax2.get_ylim()[1] * 0.92, f'Cutoff = {cutoff}', fontsize=10, color='black')\n", + "ax2.set_title('조작 의심: 기준점 직후 밀도 급증', fontsize=13, fontweight='bold')\n", + "ax2.set_xlabel('수능 점수', fontsize=11)\n", + "ax2.set_ylabel('빈도', fontsize=11)\n", + "ax2.legend(fontsize=10)\n", + "ax2.text(0.05, 0.90, 'McCrary test\\n유의함 → RDD 위협!', transform=ax2.transAxes,\n", + " fontsize=10, color='crimson', fontweight='bold',\n", + " bbox=dict(boxstyle='round,pad=0.4', facecolor='white', alpha=0.8))\n", + "\n", + "plt.suptitle('McCrary Density Test: Running Variable 히스토그램', fontsize=14, fontweight='bold')\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "60000003", + "metadata": {}, + "source": [ + "### 그 외 타당성 검정들\n", + "\n", + "McCrary test 외에도 분석 전에 확인할 것들이 있습니다.\n", + "\n", + "**공변량 연속성 검정**은 처치와 무관한 공변량(성별, 부모 소득 등)을 outcome 삼아 RDD를 실행해보는 것입니다. 기준점에서 공변량이 불연속이면 처치 효과 추정에 혼입이 의심됩니다. 당연히 이 경우엔 점프가 없어야 합니다.\n", + "\n", + "**Placebo cutoff test**는 실제 기준점이 아닌 다른 지점(예: 60점, 80점)에서 RDD를 돌려보는 것입니다. 가짜 기준점에서는 불연속이 나타나지 않아야 합니다.\n", + "\n", + "**Donut hole test**는 기준점 바로 근방(예: ±2점) 관측치를 제외하고 분석하는 방법입니다. 결과가 크게 바뀐다면 그 근방에 뭔가 수상한 점이 있다는 신호입니다.\n", + "\n", + "| 검정 | 목적 | 기대 결과 |\n", + "|------|------|----------|\n", + "| **McCrary density test** | Running variable 조작 여부 | 기준점에서 밀도 연속 |\n", + "| **공변량 연속성** | 다른 요인이 기준점과 무관한지 | 공변량의 점프 = 0 |\n", + "| **Placebo cutoff** | 기준점 외 지점에서는 불연속 없어야 | 가짜 기준점 효과 = 0 |\n", + "| **Donut hole** | 기준점 근방 조작에 강건한지 | 제외해도 추정값 유사 |" + ] + }, + { + "cell_type": "markdown", + "id": "80000001", + "metadata": {}, + "source": [ + "## 참고 자료\n", + "\n", + "- [인과추론의 데이터과학 (Youtube)](https://www.youtube.com/watch?v=8SIoMJTmO3A)\n", + "- Imbens, G. W., & Lemieux, T. (2008). Regression discontinuity designs: A guide to practice. *Journal of Econometrics*, 142(2), 615–635.\n", + "- McCrary, J. (2008). Manipulation of the running variable in the regression discontinuity design: A density test. *Journal of Econometrics*, 142(2), 698–714.\n", + "- Cattaneo, M. D., Idrobo, N., & Titiunik, R. (2019). *A Practical Introduction to Regression Discontinuity Designs*. Cambridge University Press." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3", + "language": "python", + "name": "python3" + }, + "language_info": { + "name": "python", + "version": "3.11.0" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/book/rdd/02_fuzzy_rdd_en.ipynb b/book/rdd/02_fuzzy_rdd_en.ipynb new file mode 100644 index 0000000..da45e05 --- /dev/null +++ b/book/rdd/02_fuzzy_rdd_en.ipynb @@ -0,0 +1,1072 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "fe000001", + "metadata": {}, + "source": [ + "**🌐 Language:** **English** | [한국어 →](/fuzzy-rdd-ko)\n", + "\n", + "# Fuzzy Regression Discontinuity Design\n", + "\n", + "Written by Jiwoo Son · GitHub · LinkedIn" + ] + }, + { + "cell_type": "code", + "execution_count": 30, + "id": "fe000002", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import statsmodels.formula.api as smf\n", + "import warnings\n", + "\n", + "plt.rcParams['axes.unicode_minus'] = False\n", + "\n", + "np.random.seed(2026)\n", + "warnings.filterwarnings('ignore')" + ] + }, + { + "cell_type": "markdown", + "id": "fe100001", + "metadata": {}, + "source": [ + "## Recap. Sharp vs Fuzzy RDD\n", + "\n", + "In the previous chapter, we covered Sharp RDD. In Sharp RDD, the cutoff $c$ **completely** determines treatment assignment.\n", + "\n", + "$$D_i^{\\text{Sharp}} = \\mathbf{1}[X_i \\geq c]$$\n", + "\n", + "Using an exam score cutoff of 70, anyone scoring 70 or above must receive the scholarship, and anyone below can never receive it.\n", + "\n", + "In reality, however, such \"perfect rules\" are rare. Even above 70, a student might miss the application deadline, be disqualified for missing documents, or simply not apply because their family is wealthy. Conversely, someone scoring 69 might receive it through a re-review. When the cutoff creates a **discontinuous jump** in the probability of treatment but does not fully determine it, we call this **Fuzzy RDD**.\n", + "\n", + "$$\\lim_{x \\rightarrow c+} \\Pr(D_i = 1 \\mid X_i = x) \\;\\neq\\; \\lim_{x \\rightarrow c-} \\Pr(D_i = 1 \\mid X_i = x)$$\n", + "\n", + "| | Treatment Assignment | Change at Cutoff | Estimation Method |\n", + "|------|-------------|--------------|------|\n", + "| **Sharp RDD** | $D_i = \\mathbf{1}[X_i \\geq c]$ | Treatment probability 0 → 1 | OLS (discontinuous regression) |\n", + "| **Fuzzy RDD** | $\\Pr(D_i=1)$ is discontinuous at $c$ | Partial jump (e.g., 15% → 65%) | 2SLS (IV) |" + ] + }, + { + "cell_type": "code", + "execution_count": 31, + "id": "ac050ceb", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_rdd_type():\n", + " c = 0\n", + " R = np.linspace(-3, 3, 300)\n", + " \n", + " D_sharp = np.where(R >= c, 1.0, 0.0)\n", + " \n", + " D_fuzzy = np.where(R >= c,\n", + " 0.65 + 0.1 * np.tanh(R * 2),\n", + " 0.15 + 0.1 * np.tanh(R * 2))\n", + " \n", + " fig, axes = plt.subplots(1, 2, figsize=(12, 5))\n", + " \n", + " # ── Sharp RDD ──\n", + " ax = axes[0]\n", + " ax.plot(R[R < c], D_sharp[R < c], 'tomato', linewidth=3, label=r'$P(D=1|R)$: $R < c$')\n", + " ax.plot(R[R >= c], D_sharp[R >= c], 'steelblue', linewidth=3, label=r'$P(D=1|R)$: $R \\geq c$')\n", + " ax.axvline(c, color='gray', linestyle=':', linewidth=1.5)\n", + " ax.scatter([c], [0], s=80, color='tomato', zorder=5, edgecolors='tomato', facecolors='none', linewidths=2)\n", + " ax.scatter([c], [1], s=80, zorder=5)\n", + " ax.annotate('', xy=(c, 1.0), xytext=(c, 0.0),\n", + " arrowprops=dict(arrowstyle='<->', color='black', lw=2))\n", + " ax.text(c + 0.1, 0.5, '0 → 1\\n(perfect jump)', fontsize=11, va='center', fontweight='bold')\n", + " ax.text(c + 0.05, -0.07, '$c$', fontsize=12, color='gray')\n", + " ax.set_ylim(-0.15, 1.25)\n", + " ax.set_title('Sharp RDD', fontsize=13, fontweight='bold')\n", + " ax.set_xlabel('Running Variable $R$', fontsize=11)\n", + " ax.set_ylabel(r'$P(D=1 \\mid R)$', fontsize=11)\n", + " ax.legend(fontsize=9)\n", + " ax.grid(alpha=0.3)\n", + " \n", + " # ── Fuzzy RDD ──\n", + " ax = axes[1]\n", + " ax.plot(R[R < c], D_fuzzy[R < c], 'tomato', linewidth=3, label=r'$P(D=1|R)$: $R < c$')\n", + " ax.plot(R[R >= c], D_fuzzy[R >= c], 'steelblue', linewidth=3, label=r'$P(D=1|R)$: $R \\geq c$')\n", + " ax.axvline(c, color='gray', linestyle=':', linewidth=1.5)\n", + " \n", + " d_l = np.interp(c - 0.009, R, D_fuzzy)\n", + " d_r = np.interp(c + 0.009, R, D_fuzzy)\n", + " ax.scatter([c], [d_l], s=80, color='tomato', zorder=5, facecolors='none', edgecolors='tomato', linewidths=2)\n", + " ax.scatter([c], [d_r], s=80, zorder=5)\n", + " ax.annotate('', xy=(c, d_r), xytext=(c, d_l),\n", + " arrowprops=dict(arrowstyle='<->', color='black', lw=2))\n", + " ax.text(c + 0.1, (d_l + d_r) / 2,\n", + " f'{d_l:.2f} → {d_r:.2f}\\n(partial jump)', fontsize=11, va='center', fontweight='bold')\n", + " ax.text(c + 0.05, -0.07, '$c$', fontsize=12, color='gray')\n", + " ax.set_ylim(-0.15, 1.25)\n", + " ax.set_title('Fuzzy RDD', fontsize=13, fontweight='bold')\n", + " ax.set_xlabel('Running Variable $R$', fontsize=11)\n", + " ax.set_ylabel(r'$P(D=1 \\mid R)$', fontsize=11)\n", + " ax.legend(fontsize=9)\n", + " ax.grid(alpha=0.3)\n", + " \n", + " fig.suptitle(r'Sharp vs Fuzzy RDD — $P(D=1 \\mid R)$', fontsize=14, fontweight='bold')\n", + " plt.tight_layout()\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 32, + "id": "bddc4a11", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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6HXMqVapUZJu8oomlt73lXRlpPF/Xw30VVpTKycnBV199BZVKle+2z4eVhjmlHh4TQRBQoUIFLFq0CDt27MCuXbvw77//ok6dOmaPF0URqampqFu3rsNiJiIiAliUIiIiJ1mxYgWys7PRp0+ffBMQ+/j4QKVSyUUpc7fwWCo1NVUuYAC5q+PlzUNz7tw5nDhxQnHf5vzwww/ynFJpaWnYtGmT/Jy5VbEK0qpVK9SoUQPnz59Hamoqhg8fLj/Xt29fuLu7m7Q/fvw46tWrh+rVq5vcqvf0009j48aNAHJvH7RHUcr4+5OUlIRLly4hMjISOTk5mDVrVoHHnThxAr169ZKvhuncuTOWL19e4K1W1rb38PDAkCFDMH36dADAuHHj5Of69esHtbr4adDMmTOxZs0aeQL2jz76CK+88orFE4yfO3cOL7/8ssm+sWPHWhVDcfro0KGDVa+lVN6tq5YWc+rWrQuVSoVz584V2FdBRSlJkvDmm2/i8uXLGDJkSL7beh9WGuaUKmhM3NzcMHDgQEyZMgVr167Nd2tfngsXLkAURdSrV8/usRIRERljUYqIiJziypUrmDZtGkaPHo3WrVsjKioKZcuWxd27d/HLL79Ar9fLbYtz+01ISAgCAwPlKyE++eQTJCYmQq/XY9myZRbdXmaNSZMm4ezZs6hSpQp++eUXkzlairpi42GDBg3ChAkTAOSOl/H+h/Xu3Rupqalo164dKlasiLJly+LSpUvYsmWL3KY4xb3CPLyaWqtWrdC2bVvExcXJE7M/LC0tDV26dJGLORqNBi1atMC8efNM2nXt2hV169a1un2eN998E59//jn0er3JrWC2Ks4FBgZi+PDhcuHr4sWLWLt2rbyK3MPyVjNMS0vDsWPHsHXrVpP3+vDhw9GpU6dCX9MWfTiSwWDA8ePHERQUZNFVVUDuuNavXx9HjhyBKIryVV95ffn6+qJGjRr5jrtw4QLGjBmDzZs3o3nz5vKqfoVx9Tml8sakoInfe/XqhSlTpuC3334rsCh18OBBALlX2BERETkSi1JERORU2dnZ2LFjB3bs2GH2+SFDhhTrDyW1Wo33338f77//PoDc24FmzpwJIHdC8KpVq8q3vthCt27dzM6B1b17d4tW3jPWv39/TJo0yeRKr0aNGhW4GuGdO3dMJkM3VrZsWQwePNiq17dUixYt0KZNG/z9998Acm9Z/OmnnwDkjodxYSzPvXv3cPv2bfmxTqfD1KlT87ULCgpC3bp1rW6fp1KlSnjmmWfwyy+/yPueeOIJm96mNHr0aMydOxeZmZkAgOnTp6NPnz5mr+AqaDVDtVqNKVOmyFfZFcYWfTjSmTNnkJWVhZYtW1p13LPPPospU6bgwIED8rF5fYWGhuKjjz4CkLvy3N27d3H06FEcPXoUgiBg6NChmDdvHjw9PW1+PkX57rvvsHfvXgDAyZMn5X2xsbEAclcVteXPYt6YNGvWzOx7LioqCpUrV8bJkyflqxgf9ueff0KtVpvMk0ZEROQInOiciIicYvTo0fjll1/w1ltvoWnTpqhcuTK8vLzg7u6OihUrolevXli3bh2+/fbbYr/W+PHjsXDhQtSoUQMajQbly5fHkCFDsGfPHvj6+trgbP7n119/xUcffYTIyEi4u7sjIiICU6ZMwbp16wpdAcycChUqoHPnzib7CrrCZ8aMGRg2bBgaN26M8uXLQ6PRwNvbG7Vq1cJbb72Fo0ePokqVKorPqygbN27E4MGDERwcDA8PD9SvXx/fffcdFixYYLfXtJTxhOeA8gnOCxIcHGxSZDh9+jR+++23Atu7ubnBz88PVatWRfv27TFt2jRcvXoVkyZNsnguKVv04SjWzieVZ/DgwVCr1Vi5cmW+vhISEjBt2jRMmzYN8+bNw+bNmxEYGIgPP/wQFy5cwDfffOOUghSQu2roihUrsGLFCvm2un/++Ufel1ewshVL5tjq1asXgNxFAh6WmZmJ9evXo0ePHiYrehIRETmCINliDWIiIqJHVExMjEmhiP+sljy3b99GxYoVIUkSvLy8cOvWLbvdyki21a9fP2zevBnXrl0zWZXzUVCpUiVER0ebFOXs4bvvvpOL9E8++aRdX4uIiOhhJeujNCIiIiIbiY2NxebNmzFgwAC5WNi3b18WpFzIJ598gqysLMyfP9/ZoZRKer0e06dPR69evViQIiIip+CcUkRERFQqtWvXzuRxmTJlMGXKFCdFQ0pUqVIFK1asQEJCgrNDKZWuX7+O/v37o1+/fs4OhYiIHlEsShEREVGpVqZMGbRo0QIzZ860ePU3KjleeuklZ4dQalWrVs3sggFERESOwjmliIiIiIiIiIjI4TinFBERERERERERORyLUkRERERERERE5HAsShERERERERERkcOxKEVERERERERERA7HohQRERERERERETkci1JERERERERERORwLEoREREREREREZHDsShFREREREREREQOx6IUERERERERERE5HItSRERERERERETkcCxKERERERERERGRw7EoRUREREREREREDseiFBERERERERERORyLUkRERERERERE5HAsShERERERERERkcOxKEVERERERERERA7HohQRERERERERETkci1JERERERERERORwLEoREREREREREZHDsShFREREREREREQOx6IUERERERERERE5HItSRORwU6dOhSAIEAQBAwcOdHY4RERERERE5AQsShFRsaWkpOCDDz5AvXr14OPjAw8PD5QvXx5RUVHo168ffvjhB2eHaHcDBw6UC215XyqVCn5+fmjQoAEmTJiAu3fv5jsuIiLC5BiNRgN/f39ERkaia9eu+Oqrr5Cammr2NYtzLBERETlfTExMvvzh4a/o6Ghnh2kXsbGxZs/X09MTVapUwUsvvYR9+/blO874w01BEODm5gYvLy+EhYWhefPmGD16NE6dOmX2NYtzLBHZB4tSRFQs9+/fxxNPPIEZM2bg1KlTyMzMhFarRUJCAo4fP46VK1fim2++cXaYTiFJEh48eIATJ05g5syZaNWqFTIzMws9Rq/XIz09HZcvX8bWrVsxatQoPPbYY/jzzz+LfL3iHEtERERUEuTk5OD69ev4+eef8eSTT2L79u2FthdFEdnZ2bhz5w4OHjyIefPmoV69enjnnXeg1+vtdiwR2Yba2QEQkWubN28eLl68CACoXLkyJk+ejGrVqiErKwunT5/Gxo0boVKVrPr3gwcP4Ovra7f+o6KiMH/+fGRmZmLt2rVYtmwZAODcuXNYv349XnnlFbPHDRo0CK+99hpSUlJw4MABfPPNN0hOTkZSUhJ69OiBHTt2oE2bNjY/loiIiEqGv//+O9++gIAAJ0TieD///DOCg4Px77//Yvz48UhPT4fBYMCsWbPQqVMns8eUL18eP//8M3JycnDx4kUsX74cBw8eBADMmTMHWVlZ+Prrr21+LBHZkEREVAxdu3aVAEgApHnz5pltk5aWZvJ4ypQp8jEDBgyQDh06JHXo0EHy8fGR/P39pZdeeklKSEgwOWbVqlVSr169pMjISCkgIEBSq9VS2bJlpSeffFJaunSpJIqiSfu2bdvKr7Fs2TLpyy+/lGrVqiVpNBpp1KhRkiRJUpUqVeQ2O3bskD777DOpevXqkru7u1StWjVp5syZksFgsGgcBgwYIPfVtm1beb/BYJD8/f3l52bMmGFynHEMU6ZMMXnuxo0bUuXKleXn69ataxJPcY4lIiIi51u+fLn8b3VRf5rt3r1bblelShWT5x7OrfIY5wrmvvJylofjMPe1e/duaerUqfLj/v3754uxdu3a8vO///67xecDQLpy5Yr83PDhw+X9NWvWLPBcHx4HURSlIUOGmPR74MABmxxLRPZRsi5fICKXY/zp3ddff421a9ciISHBpI2fn1+Bx+/fvx+tW7fGjh07kJGRgbS0NPz000/o37+/SbsNGzZg48aNuHTpElJTU6HX63Hv3j389ddfeP311zFmzJgCX2PGjBkYM2YMzp49C51OZ7bN22+/jfHjx+PixYvQarW4fPky3n//fbz55puWDEOhJEmStytVqmTxcRUrVsSnn34qPz59+jSOHDli92OJiIiIzBk6dCg0Gg0A4JdffkFaWpr83OnTp3HmzBkAQFhYGLp06WKT17QmdxIEAXPmzDHJT1esWGH3Y4lIORaliKhYunfvLm+fO3cOL7/8MsqXL49KlSqhT58+2Lhxo0lR5mHnz59H27ZtsXHjRkyZMkXev23bNpw7d05+3KtXLyxevBgbN27E7t27sXPnTixduhRBQUEAgAULFuDOnTtmX+PChQvo1asXfvvtN6xfvx4dO3bM1+bixYuYPn06tmzZggEDBsj7v/32W/zzzz+WDwiA1NRU7N27F9u3b8cbb7yB9PR0AEB4eDieffZZq/p6OFZrCkvFOZaIiIgcz9zE33PnzlXc3y+//IK///5b/po3bx4EQZCff+aZZwAA3bp1M2n3119/oVGjRnK7yMhIPP744wgLC5NzmczMTKxZs8bktfK8+uqrcHNzsyrWI0eOYM+ePfj222/lRXIEQcDbb79tVT++vr5o0aKFSb+OOJaIlOGcUkRULK+++ioOHDiAr7/+2qT4dPPmTaxZswZr1qzB008/jd9++80kCcoTFBSEDRs2wMvLCz179sTatWtx9uxZALkFq5o1awIAOnfujC+++AILFy7E5cuXkZmZafJ6BoMBhw8fRs+ePfO9RuPGjbFhw4ZCz2PUqFGYMGECAKBr166Ii4vDyZMnAQA//fQTWrVqZfGYxMfH55u/6aWXXsKsWbPg4+NjcT8AUK5cOZPHKSkpDjmWiIiIXF+TJk3k7TNnzuDjjz+W86cJEyZg9OjRAICQkBCEhITIbUeOHIm4uDgAQIUKFbBjxw75g8Dhw4fjp59+AgAsXboUQ4cOBWBalBo0aJDVsb744osmj2vUqIFZs2aZze2KYpwDWZv/FOdYIrIei1JEVGwLFizAyJEj8fPPP+Pvv//GwYMHkZqaKj+/YcMGrF27Fi+//HK+Y1u0aAEvLy/5sXEicO/ePQBAVlYWWrVqZXLllDn37983u/+5554r8hxat25t8rhVq1ZyUerChQtFHl+UvDEJDw+36rikpCSTx4GBgQ45loiIiBzP3ETn1apVK3a/V69eRceOHZGcnAwAGDZsGKZPn2627cSJE7FgwQIAuXnZ9u3bERERIT//5JNP4vHHH8epU6dw6NAhnD59GhqNBqdOnQIANG3aFLVr1y52zFeuXFGcgxnnQNbmP8U5loisx9v3iMgmatasiUmTJmHbtm24e/cutm7dijJlysjP561m8rCyZcuaPFar/1crz/sk77fffpMLUj4+Pvjqq6+we/du/P3336hXr57cXhRFs68RFham7KQUatu2LURRxNmzZ9GwYUMAwLVr1/DMM88gJyfHqr4eXgbZ+BNPex5LREREjte6det8XxUqVAAAkyvO9Xq9yXEPfxBl7M6dO+jQoQNu3rwJAOjTpw8WLlxotu2sWbPkYpWvry/++OMP1K1bN1+74cOHy9tLly7Fzz//LD9WcpUUkFuESklJwfjx4wEAOp0O77zzDnbs2GFVP+np6di/f7/82Jr8pzjHEpEyLEoRUbHs3r0736XNbm5u6Ny5M5o1aybvK6hgZInr16/L2126dMHIkSMRHR2N+vXr48aNG0Ueb+62wYc9PG/Uvn375O3q1atbEe3/XrNmzZr48ccf5TkVLl26VGASaM6NGzcwadIk+XGdOnUsTo6KcywRERGVPMYf9iUnJ8sfdOn1emzdutXsMffv30enTp1w6dIlALlzga5YsQIqVf4/A5csWYJx48YBADw8PLBx40Y88cQTZvt99dVX4e/vDwD44Ycf5LmlPD09zV4Zb6mAgADMnDnTZNqEd955p9D5SY2JoojRo0fL83kCMJkr1F7HEpFyvH2PiIpl6dKl+PXXX9GjRw+0a9cOkZGREAQBe/fuxZ9//im3M5400lrGl63v3LkTP/zwAwICAjBr1qwCb9mz1rx581C2bFnUr18fP//8M06cOCE/99JLLynut3bt2ujTpw9WrlwJAPjiiy/w5ptvmtyymOf69evYu3cvUlNTsX//fixevBh3794FALi7u2Px4sVmk8jiHktEREQlX7Vq1aBWq6HX65GTk4MXX3wRXbp0wc8//4zLly/na5+dnY2uXbvK0xFUqlQJo0aNMrl6PSAgAPXq1cO6deswbNgwef/bb78NjUaDvXv3yvvq1asnr0zn6+uLAQMGYP78+UhOTpZvC3zmmWdscsvbtGnT0KFDBwDAiRMnsH79erOLxeTk5GDv3r3QarW4cOECli9fbnJ+b775psmHpLY6lohsSCIiKoa+fftKAAr9evLJJyW9Xi8fM2XKFPm5AQMGmPTXtm1b+bnly5dLkiRJGRkZUrVq1fL1W758ealWrVr52hfUz8OqVKkit2nYsKHZ2F9//XWLxmHAgAHyMW3btjV57t9//5VUKpX8/Ny5c83GUNBXcHCwtH379kLjt/ZYIiIicr7ly5eb/LtdlCFDhuT7t14QBKlu3br5cqsrV64UmSfk5SzGeUxBX7t37zaJ5cyZM/nabN261eJz3717t8mxV65cMXm+efPmJnlaHuM8srCvsWPHSjqdzqTP4hxLRPbBj82JqFimTp2KefPm4ZlnnkHt2rVRtmxZuLm5ITAwEC1atMDs2bOxfft2q5cFNubt7Y1du3bh2WefRdmyZREQEIBevXph7969CA0Ntcl5zJo1C3PmzMFjjz0Gd3d3VK1aFdOnT8c333xT7L5r166N559/Xn78+eefFzi3lEqlgq+vL6pVq4YuXbrgq6++woULF9CxY8ciX6c4xxIREVHJN2fOHAwZMgTlypWDp6cnmjdvjs2bN+OFF15weCy1atVC+/bt5ceVKlWyac4xefJkefvYsWPYtGmT2XaCIMDDwwPly5dHs2bNMHr0aJw8eRKzZ882mavU1scSkW0IkmThDbpERKVMREQErl27BiB3bqzo6GjnBkRERETkQhYuXIgRI0YAACZMmFDgin5ERAVh+ZeIiIiIiIgsIkkSMjIycOfOHSxfvhxA7tXagwcPdnJkROSKWJQiIiIiIiIii1y7dg1Vq1Y12Td06FCThWmIiCzFohQRERERERFZRRAEVKhQAa+88go+/vhjZ4dDRC6Kc0oREREREREREZHDcfU9IiIiIiIiIiJyOBaliIiIiIiIiIjI4TinFABRFHHr1i34+flBEARnh0NEREQliCRJSE9PR4UKFaBS8fM8Y8yhiIiIyBxL8ycWpQDcunUL4eHhzg6DiIiISrD//vsPlSpVcnYYJQpzKCIiIipMUfkTi1IA/Pz8AOQOlr+/v837F0URSUlJCA4O5iesVuLYKcexU0ar1WLBggWQJAnDhw+Hp6ens0NyKXzfKcexU87eY5eWlobw8HA5X6D/sWcOxZ8J5Th2ynHslGH+VDx83ynHsVOupORPLEoB8uXm/v7+ditKZWdnw9/fnz8oVuLYKcexU0ar1UIQBAiCAH9/fyZVVuL7TjmOnXKOGjvenpafPXMo/kwox7FTjmOnDPOn4uH7TjmOnXIlJX9iUYqIyIhGo8Fbb72Fe/fuQaPRODscIiIiohKP+RMRKcWiFBGREUEQUK5cORgMBl4VQURERGQB5k9EpBSvbyMiIiIiIiIiIofjlVJEREYMBgOOHDmC9PR0tG3blveml3CSJEGv18NgMDg7lGITRRE6nQ7Z2dl831nJFmOn0Wjg5uZm48iIiB4NzJ9cj8FggE6nc3YYxcb8STlbjJ2bmxvUanWxrpBkUYqIyIjBYMDWrVsBAK1bt+a8CCWYVqvF7du3kZmZ6exQbEKSJIiiiPT0dN76YCVbjJ0gCKhUqRJ8fX1tHB0RUenH/Mm1PHjwADdu3IAkSc4OpdiYPylnq7Hz9vZGWFgY3N3dFR3PohQRkRGVSoXatWsjJyeHn7aUYKIo4sqVK3Bzc0OFChXg7u7u8olI3lVfxf206VFU3LGTJAlJSUm4ceMGHnvsMV4xRURkJeZPrsNgMODGjRvw9vZGcHCwy+cczJ+Us0X+pNVqkZSUhCtXruCxxx5T9PNf4opSf/31F7744gscPXoUt2/fxm+//YZnnnmmwPa//vorFi1ahPj4eOTk5KBu3bqYOnUqOnfu7LigiajUUKvVeOGFF5CYmAi1usT9iqT/p9VqIYoiwsPD4e3t7exwbIJJlXK2GLvg4GBcvXoVOp3OZYtSzKGIyFmYP7kOnU4HSZIQHBwMLy8vZ4dTbMyflLPF2Hl5eUGj0eDatWvQarXw9PS0uo8SV8bOyMhAgwYNsHDhQova//XXX+jYsSO2bNmCo0ePol27dujZsyeOHTtm50iJiMjZ+Gks2UppSGSZQxERkaVKw797VDIUNx8vcWXsrl27omvXrha3nzt3rsnj6dOnY8OGDdi0aRMaNmxo4+iIiIiISibmUERERORqSlxRqrjyJuoqW7ZsgW1ycnKQk5MjP05LS5OPFUXRLjHlTSJG1uHYKcexU0an02HBggUQRREjRoyAh4eHs0NyKY563+W9Tt5XaZF3LqXpnByluGOX914ylws8Kr9HS1oOxX/HlOPYKcexU4b5U/E48n1XGnMo5k/K2WLsCsqhLH0/l7qi1KxZs/DgwQO89NJLBbaZMWMGpk2blm9/UlISsrOzbR6TKIpITU2FJEm81cRKHDvlOHbK6HQ6PHjwAACQmJjIpMpKjnrf6XQ6iKIIvV4PvV5vt9dxJEmSYDAYAPCSemvZYuz0ej1EUcTdu3fzrRqVnp5e7BhdQUnLofjvmHIcO+U4dsowfyoeR77vSlsOxfxJOVuNXUE5lKX5U6kqSq1atQrTpk3Dhg0bEBISUmC7CRMmYOzYsfLjtLQ0hIeHIzg4GP7+/jaPSxRFCIKA4OBg/uNmJY6dchw7ZURRxOuvv4779+8jLCyMk3VayVHvu+zsbKSnp0OtVrv892jNmjX47bffsHbtWgAoEctox8TEYM+ePVi+fLnFx3Tu3Bnjxo1Dhw4d7BhZ4Yozdmq1GiqVCuXKlcs3SaeSSTtdTUnMofjvmHIcO+U4dsowfyoeR77vSmMOtXLlyhKRPwGumUMVd+wKyqEszZ9c+11oZM2aNRg8eDB+/vnnIr+ZHh4eZqv3KpXKbr8EBEGwa/+lGcdOOY6d9VQqFSpUqCD/Q82xs54j3ncqlQqCIMhfJZlOp4Ofnx/c3NwgCALc3d3RvXt3fPfdd9BoNJg4cSI2bNgAIHfsdDod/P395faCIKBu3bp44403MGjQIJvEtGDBAsTExODkyZPo2rUr1q9fb/J83pjm/d/4HADA29sbL7zwAhYsWCDvmzhxIkaPHm3VJNmW9GsJSZLyxWytvLE2994t7b8HSnIOxX/HlOPYKcexsx7zp+Jz1PuutOVQ69evl89Dr9ebtGcOVThb5E95x5p7/1r6Xi4VRanVq1fjtddew5o1a9C9e3dnh0NERI4kikBGmuNf18cfsOAf29OnT0Ov1yM5ORm+vr64fPkyGjdujBUrVqBChQooW7Ys6tWrJ9/Lf/r0aWi1WqSkpMDf3x8ZGRnYtm0bBg8ejOTkZIwbN67YoVeoUAGTJk3Cjh07cOPGDYvOQafTISkpCX5+fvj333/RtGlTtG7dGn379gUAPPnkk0hJScE///yDVq1aWRSHJf1aIj09HaIoIiAgwOJjKBdzKCKiR1gpyaHybkNkDqUsh3J3d4evr6/Fx9haiStKPXjwABcvXpQfX7lyBfHx8ShbtiwqV66MCRMm4ObNm/j+++8B5F5uPmDAAMybNw/NmjXDnTt3AABeXl5MTonIagaDASdOnEBaWhrKlSvHT/pcQUYaMOZlx7/ul2sAv8Aim8XFxaFu3bryP/bVqlVDaGgosrOzsXHjRjz11FP52kdGRsq3Qvn4+OC5557DpUuXMHfuXJskVM899xwAID4+3qKEKi4uDjVq1ICfnx8AoE6dOggLC0NiYqLcRhAEPPXUU9i4caPFCZUl/RbEYDBg+/bt+OGHH7Bp0ybs3bsX9evXz9fujz/+wJQpU3D69Gn4+vpi3LhxePfddy2Kz9UwhyIiZ2H+5KKYQ1mtNOZQBw4cQN26dfO1c1QOVeJ+Wxw5cgQNGzaUlyIeO3YsGjZsiA8//BAAcPv2bVy/fl1u/+2330Kv12P48OEICwuTv0aNGuWU+InItRkMBmzcuBGxsbHyxH9ExREXF4fmzZsDyJ3HYeHChbh16xa6d++O+Ph41KpVK1/7Ro0a5eunTp06uHXrVr6VTN566y0EBgYW+LV3716bnEOTJk3kc5g7dy5u3ryJXr165YsxPj5efjxz5kz06NGj2P0aO3bsGMaMGYOKFSvigw8+QOPGjXHu3DnUqVMnX9uYmBgMGTIEM2bMQGpqKuLj49G6dWtrTt2lMIciImdh/kT2wBzKvjlUo0aNcPr0aafnUCXuSqno6OhClyOMiYkxeRwbG2vfgIjokaJSqVC9enVotVp+ykc2ERcXh/j4ePz000/w9fVFVFQUduzYgcjISNy/fz/f5NDHjh3D008/na+flJQUs58+f/311/j6668dcg4bN25Eeno6qlevjr179yIyMtKknb+/P+7fvy8/fv/9923SLwD8/PPPmDZtGh48eIBXXnkFu3btkpMoSZLyrSCUlpaG0aNHY926dWjfvj0AyEWX0oo5FBE5C/Mnsgdrc6i4uDjmUFbkUObyJ8DxORR/YxARGVGr1ejTpw+6du3q8iuSkPMZDAYcP34cf//9N+7fv4///vsPmzZtQtOmTQEAZcqUQVpaWr72eVe6GIuNjUW7du0cFvvDMe3YsQOpqak4fvw4EhISTOLOk5aWhjJlyti8XwC4ceMGrl27hvr166NBgwaoWrVqof3v2rULYWFhcjJFRET2w/yJbI05lG36BUp+DsXfGERE5Np8/HPnJnDG6xbh7NmzyMnJMXufPgBERUXh7NmzJu0zMzPzXXp+8uRJrFq1Cjt27MjXx7Bhw7By5coCY/jjjz/Qpk2bImMtyNmzZ5GVlSXP11SvXj307t0bS5YsQXR0tEnbf//9F1FRUTbvFwDGjBmDoUOH4tdff8XSpUvxxhtvoFevXnjllVfMJk137961OLkjIiJ6JDGHeqRzqD59+iA6OjpfIdnRORSvlCIiItemUuVOlunoLwtuT4iLi0P16tXh6elp9vmePXti9+7d8uNjx44hPDwcQUFBAHKTgiVLluCpp57CRx99hBYtWuTrY/HixXjw4EGBX+aSKb1ej+zsbOj1eoiiiOzsbGi12gLPITIy0mRVlp49e+L333/Pd8zu3bsLnf9Aab95fHx80K9fP2zfvh1nzpxBgwYN8P7776NSpUq4fPmySdtGjRohPj5eng/i1q1b2Ldvn0WxERERPRJKUQ4VFxfHHMrKHGrChAmIiIhweg7FohQRkRGdToeFCxdi9erV0Ol0zg6HXFxcXJzZFeHydOvWDcnJyTh16hSA3JVcbt68CV9fX5QpUwaNGjXCzp07sX79erzzzjs2i+uTTz6Bl5cXPv30U2zatAleXl7o1KlTgefw8Cd37du3h1arxa5du+R9f//9N/z9/U0SuOnTp6Nr167F6rcgYWFheOeddxAfH48dO3YgMDDQ5PmGDRtizpw56N+/P3x8fNCqVStcvXq1yH6JiMh6zJ/I1qzNoeLi4phDWZlDHTt2DFu3bnV6DiVIhc2I+YhIS0tDQEAAUlNT802WZguiKCIxMREhISGc+M9KHDvlOHbKaLVazJgxAwAwfvz4Aj+dIfMc9b7Lzs7GlStXULVqVZf/Hq1evRrr16/HmjVroNfroVarIQiCU2OKiYlBbGxsvomxC9O5c2e8++676Nixo/0CK0DeRJ3FGbvC3lP2zhNcmT3Hhv+OKcexU45jpwzzp+Jx5PuuNOZQK1euLBH5E+BaOZQt8ieg4PeUpTkC55QiIjKiVqsxcOBA3L9/nxN1kkP06dMHffr0KXTVNFewbds2Z4dAREROwvyJnKFPnz54+eWXza4g50oe9RyKvzGIiIyoVCqEh4fDw8ODn5DSIysqKirfpdxEREQFYf5ElIs5lPVYlCIiIiITUVFRFq8AQ0RERES5mENZj2VsIiIjoiji33//xaVLlyCKorPDISIiIirxmD8RkVK8UoqIyIher8e6desAAI0bN+a8CERERERFYP5ERErxtwURkRFBEFClShVotdoSsYIHERERUUnH/ImIlGJRiojIiEajQf/+/ZGYmAiNRuPscIiIiIhKPOZPRKQU55QiIiIiIiIiIiKHY1GKiIiIiIiIiIgcjkUpIiIjOp0O3377LX755RfodDpnh0NERERU4jF/IiKlOKcUEZERSZKQkJAgbxMRERFR4Zg/EZFSvFKKiMiIWq1G37590b17dy5nTA6xZs0avPTSS84Ow0RMTAwGDhxo1TGdOnXCjh077BMQERGVaMyfyBnWrFmD3r17OzsME8yhrMeiFBGREZVKhWrVqqFSpUpQqfgrkopPp9PB09MTPj4+8PX1RdmyZdGvXz/k5ORAFEV88MEHmDx5coHt/fz80Lx5cyxfvtxmMS1YsABNmjSBh4cHnnnmGavOwcfHB8HBwXjzzTdhMBjkNhMnTsS4ceOsisOSfomIqORj/kT2YEkONWnSpALbM4dyDSxjExGRSxMlCWmZWoe/rr+3O1SCUGS706dPQ6/XIzk5Gb6+vrh8+TIaN26MFStWoEKFCihbtizq1asn3+5w+vRpaLVapKSkwN/fHxkZGdi2bRsGDx6M5ORkq5MWcypUqIBJkyZhx44duHHjhkXnoNPpkJSUBD8/P/z7779o2rQpWrdujb59+wIAnnzySaSkpOCff/5Bq1atLIrDkn7z/Prrr6hcuTIaN24MwYJxJyIiosKVlhxKr9fL7ZlDuV4OxaIUEZERURRx4cIFpKSkICgoiJ/2uYC0TC16z3H8Jc9rx3ZAoI9Hke3i4uJQt25d+Pr6AgCqVauG0NBQZGdnY+PGjXjqqafytY+MjIS/vz8AwMfHB8899xwuXbqEuXPn2iSheu655wAA8fHxFiVUcXFxqFGjBvz8/AAAderUQVhYGBITE+U2giDgqaeewsaNGy1OqCzpN8+lS5cwfPhwCIKA7t27o0ePHujQoQN8fHwKfY0//vgDU6ZMwenTp+Hr64tx48bh3XfftSg+IiKyDPMn18QcynqlKYfy9vYu9DUclUPxtwURkRG9Xo81a9Zg69at8qcuRMURFxeH5s2bAwCys7OxcOFC3Lp1C927d0d8fDxq1aqVr32jRo3y9VOnTh3cunULoiia7H/rrbcQGBhY4NfevXttcg5NmjSRz2Hu3Lm4efMmevXqlS/G+Ph4+fHMmTPRo0ePYvcLAOPGjcOtW7ewfv16lC9fHlOmTEFQUBC6du2KhQsXIjs7O98xMTExGDJkCGbMmIHU1FTEx8ejdevWSoaAiIgKwfyJ7IE5lH1zqG7dumHRokVOz6F4pRQRkRFBEBAWFga9Xl8iL28l1xMXF4f4+Hj89NNP8PX1RVRUFHbs2IHIyEjcv39f/jQvz7Fjx/D000/n6yclJQXlypXL9+nz119/ja+//toh57Bx40akp6ejevXq2Lt3LyIjI03a+fv74/79+/Lj999/3yb95hEEAU2bNkXTpk3x3HPPYdGiRVi6dCl27dqFHj16yJ+kAkBaWhpGjx6NdevWoX379gCAsLAwhIWFKR0GIiIqAPMnsgdrc6i4uDjmUApyqOeeew6VKlWS2zo6h+KVUkRERjQaDQYPHoznnnsOGo3G2eGQizMYDDh+/Dj+/vtv3L9/H//99x82bdqEpk2bAgDKlCmDtLS0fO0bNmyYr6/Y2Fi0a9fOYbE/HNOOHTuQmpqK48ePIyEhwSTuPGlpaShTpozN+wWAjIwMbNy4EUOHDkXFihXRpUsXaLVarF27FklJSahYsaJJ+127diEsLExOpoiIyH6YP5GtMYeyTb9AwTnUmjVrcPv2bafnULxSioiIXJq/tzvWju3glNctytmzZ5GTk4O6deuafT4qKgpnz541aZ+ZmZnv0vOTJ09i1apVZpcLHjZsGFauXFlgDH/88QfatGlTZKwFOXv2LLKyslC/fn0AQL169dC7d28sWbIE0dHRJm3//fdfREVF2bxfAOjTpw+uXbuGnj17Yt26dWjatKn8iackSfluF7l7967FyR0REdGjiDnUo51DmcufAMfnUCxKERGRS1MJgkWTZTpDXFwcqlevDk9PT7PP9+zZEx999JH8+NixYwgPD0dQUBCA3KTg119/xQcffICPPvoILVq0yNfH4sWLsXjxYqvi0uv18pcoisjOzoZKpYK7e/4kMW/SUONb43r27IlXX30VWq3W5Jjdu3djxYoVFsVgTb9552m87969e/K2JEn5LuFv1KgRRo4cib1796J169a4desWrl69ipYtW1oUHxERUWlXmnKouLg45lBW5lB5RamQkBC4ubnJzzs6h+Lte0RERnQ6HZYvX47169dDp9M5OxxycXFxcfKnWOZ069YNycnJOHXqFIDclVxu3rwJX19flClTBo0aNcLOnTuxfv16vPPOOzaL65NPPoGXlxc+/fRTbNq0CV5eXujUqVOB5/DwJ3ft27eHVqvFrl275H1///03/P39TT5RnD59Orp27VqsfvMMHToUwcHBZr9CQkJw/fp1k/YNGzbEnDlz0L9/f/j4+KBVq1a4evVqIaNCRERKMX8iW7M2h4qLi2MOZWUOFRISggoVKjg9hxIkSZLs1ruLSEtLQ0BAAFJTU/N90moLoigiMTERISEhXB7VShw75Th2ymi1WsyYMQMAMH78+AI/nSHzHPW+y87OxpUrV1C1alWX/x6tXr0a69evx5o1a6DX66FWq50+SWxMTAxiY2MRExNj8TGdO3fGu+++i44dO9ovsALkfdJXnLEr7D1l7zzBldlzbPjvmHIcO+U4dsowfyoeR77vSmMOtXLlyhKRPwGulUPZIn8CCn5PWZoj8PY9IiIjarUaL774IlJTU6FW81ck2V+fPn3Qp08fuPpnRNu2bXN2CERE5CTMn8gZ+vTpg5dfftnsvEiu5FHPofgbg4jIiEqlQq1atZCYmMhPSOmRFRUVhcDAQGeHQURELoL5E1Eu5lDWY1GKiIiITERFRVm8AgwRERER5WIOZT2WsYmIjIiiiKtXr+LWrVsQRdHZ4RARERGVeMyfiEgpXilFRGREr9fjhx9+AADUqVOH8yIQERERFYH5ExEpxd8WRERGBEFAUFAQDAZDiVjBgwrn6pODU8nB9xIRkXLMn1wP/90jWynue4lFKSIiIxqNBm+++SYSExOh0WicHQ4VIO97k5mZCS8vLydHQ6WBVqsFALi5uTk5EiIi18P8yXXk/Tun1WqZQ5FNZGZmAoDin30WpYiIyOW4ubkhMDAQiYmJAABvb2+X/2RWkiTo9Xqo1WqXPxdHK+7YiaKIpKQkeHt785YTIiIq1dRqNby9vZGUlASNRuPyqyUyf1KuuGMnSRIyMzORmJiIwMBAxR/sMfMiIiKXVL58eQCQC1OuTpIkiKIIlUrFpMpKthg7lUqFypUrc+yJiKhUEwQBYWFhuHLlCq5du+bscIqN+ZNythq7wMBAOS9XgkUpIiIjOp0Oq1evhlarRb9+/eDh4eHskKgAeUlVSEgIdDqds8MpNlEUcffuXZQrV87lP7V0NFuMnbu7O8ediEgh5k+uxd3dHY899ph867orY/6knC3GTqPRFHvqAxaliIiMSJKEK1euyNtU8rm5uZWKeYBEUYRGo4GnpyeTKitx7IiInIv5k+tRqVTw9PR0dhjFxhxAuZIydixKEREZuZ9lQLmGnXA/PRPbziShZfUQBPvx0z4iIiKigqjVajzzzDNIS0vj3HxEZBX+xiAiAnD2ThoW7rqILafuwCD+/yd8J0/ATSWg2+PlMfyp6qhV3t+5QRIRERGVQCqVCvXq1UNiYiKvViEiq5S43xh//fUXevbsiQoVKkAQBKxfv77IY2JjY9GoUSN4eHigevXqiImJsXucRFR67DmfhKcX/GNakPp/BlHCllN38PSCf7DnfJKTIiQiKhpzKCIiInI1Ja4olZGRgQYNGmDhwoUWtb9y5Qq6d++Odu3aIT4+HqNHj8bgwYOxbds2O0dKRKXB2TtpGPr9EWj1Yr6CVB6DKEGrFzH0+yM4eyfNwRESEVmGORQROYsoirh16xYSExMhiqKzwyEiF1Libt/r2rUrunbtanH7xYsXo2rVqpg9ezYAoHbt2ti7dy++/PJLdO7c2V5hElEpsXDXRehFCUVNySkB0IsS5v55HjOfq+eI0FySKIpIy9LBPSOHl+9biWOnnPHYBfp6QvWILgnNHIqInEWv12Pp0qUAgBo1anBeKSKymMv/tti/fz86dOhgsq9z584YPXq0cwIiIpeRlJ5j9pa9ghhECVtPJ+DClQSoH82/eYlKvLVjOyDQh4sTWII5FBHZiiAICAgIgMFggPCIfjBARMq4fFHqzp07CA0NNdkXGhqKtLQ0ZGVlwcvLK98xOTk5yMnJkR+npeXejiOKol0uNxVFEZIk8VJWBTh2ynHsirb/UrLFBSljmQbA3+V/exKVTvb4t7y0/h4t6TkU/x1TjmOnHMdOGTc3N4wYMQJJSUlwc3Pj+FmJ7zvlOHbK2XvsLO33kfyzasaMGZg2bVq+/UlJScjOzrb564miiNTUVEiSxFsyrMSxU45jV7TbyfcVHaegjkVEDpKcnAxthsamfaanp9u0P1fmyByK/44px7FTjmOnHMdOOY6dchw75ew9dpbmTy5flCpfvjwSEhJM9iUkJMDf39/sJ3wAMGHCBIwdO1Z+nJaWhvDwcAQHB8Pf3/ZLvouiCEEQEBwczB8UK3HslOPYFS0syADgmtXHqXhVOlGJFRQUZPPb9zw9PW3aX0lR0nMo/jumHMdOOY6dchw75Th2ynHslLP32FmaP7l8UapFixbYsmWLyb4///wTLVq0KPAYDw8PeHjkT1hVKpXd3siCINi1/9KMY6ccx65wLSKD4KYSrLqFz00l4MfhbVDWx92OkbkuURSRnJyMoKAgvu+sxLFTznjs7DHReWn9frhCDsV/x5Tj2CnHsbOeXq/Hzz//DK1Wiz59+nCicwX4vlOOY6ecPcfO0j5L3G+LBw8e4OLFi/LjK1euID4+HmXLlkXlypUxYcIE3Lx5E99//z0AYNiwYViwYAHee+89vPbaa9i1axd++uknbN682VmnQEQuItjPA90eL2/xZOduKgHd64WhWoifA6JzTaIoQpuhQaCPBxMDK3HslDMZu0d4gl3mUETkLKIo4vz58/I2EZGlSlzWe+TIETRs2BANGzYEAIwdOxYNGzbEhx9+CAC4ffs2rl+/LrevWrUqNm/ejD///BMNGjTA7Nmz8d1333EpYyKyyPCnqkOtElDUn7ECALVKwFvtIh0RFhGR1ZhDEZGzuLm5oXv37njyySfh5ubm7HCIyIWUuCuloqOjIUkFX7EQExNj9phjx47ZMSoiKq1qlffHt/2bYOj3R6AXJbNXTLmpBKhVAr7t3wS1ytt+3jkiIltgDkVEzuLm5oZGjRohMTGRRSkiskqJu1KKiMjR2tYIxoYRrdD+sTKQRIPJc3m37G0Y0QptawQ7KUIiIiIiIqLSp8RdKUVE5Ay1yvsj4N9fcePrJfCsXA8qd2+I2kwsmjYW/V9q6OzwiIiIiEosSZKQmJiIe/fuITiYH+IRkeVYlCIiApCYmIiFCxdCzMpC5tm98v4509Px6gtPc+JpIiIiogLodDp88803AIDx48fzFj4ishj/yiIiAvDFF18gKysr3/7jx49jw4YNToiIiIiIyHV4e3vD09PT2WEQkYthUYqIHnn379/HwoULAQBqdf4LSD/99FNHh0RERETkMtzd3fHOO+9gwIABcHd3d3Y4RORCWJQiokfe7du35aukGjduLO+vUaMGAODixYtOiYuIiIiIiKg045xSRPTIq1OnDubPn4+bN2/Czc0NBw8eBABMmjQJBw4cQLdu3ZwcIRERERERUenDohQREYARI0YAAD788EN5X5kyZeTb+oiIiIjIPL1ejw0bNiA7Oxsvvvgib+EjIouxKEVEZESSJLPbRERERGSeKIo4deqUvE1EZCkWpYiIjAiCIG+rVJx2j4iIiKgobm5u6NSpE9LT0+Hm5ubscIjIhbAoRURkxLgQxaIUERERUdHc3NzQrFkzJCYmsihFRFbhX1xERERERERERORwLEoRERnhnFJERERE1pEkCSkpKUhPT2f+RERWYVGKiMiI8eScBoPBiZEQERERuQadTof58+dj1apV0Ol0zg6HiFwI55QiIiIiIiKiYtFoNLxKioisxqIUEZER48k51Wr+iiQiIiIqiru7O95//30kJibC3d3d2eEQkQvh7XtERERERERERORwLEoREREREREREZHDsShFRGSEE50TERERWUev1+P333/Hnj17oNfrnR0OEbkQTphCRGTEeIJOTtZJREREVDRRFHHs2DF5m4jIUixKEREZEQRB3lapeDEpERERUVHc3NwQHR2NjIwMk0VjiIiKwqIUEZER40IUi1JERERERXNzc0ObNm2QmJjIohQRWYV/cRERERERERERkcOxKEVEZIRzShERERFZR5IkZGRkICsri/kTEVmFRSkiIiNcfY+IiIjIOjqdDnPmzMH3338PnU7n7HCIyIWwKEVERERERERERA7Hic6JiIwYT86pVvNXJBEREVFR3N3dMXnyZCQmJsLd3d3Z4RCRC+GVUkRERERERERE5HAsShERERERERERkcOxKEVEZIQTnRMRERFZR6/XY9u2bfjnn3+g1+udHQ4RuRAWpYiIjBgvY8wljYmIiIiKJooiDh06hFOnTpl8wEdEVBTO4ktEZEQQBHlbpWLdnoiIiKgobm5uaNWqFTIzM00WjSEiKgqLUkRERowLUSxKERERERXNzc0NTz31FBITE1mUIiKr8C8uIiIiIiIiIiJyOBaliIiMcE4pIiIiIutIkgStVgudTsf8iYiswqIUEZERrr5HREREZB2dTofPPvsMy5Ytg06nc3Y4RORCWJQiIiIiIiIiIiKH40TnRERGjCc350SdREREREXTaDQYP348kpKSoNFonB0OEbkQXilFRGREEASz20RERERkniAIcHd3h0ajYf5ERFZhUYqIiIiIiIiIiByORSkiIiPGE50bbxMRERGReQaDAbt27cKhQ4e4UAwRWaVEFqUWLlyIiIgIeHp6olmzZjh06FCh7efOnYuaNWvCy8sL4eHhGDNmDLKzsx0ULRGVJsbLGLMoRUSuhjkUETmDwWDAP//8g2PHjrEoRURWKXETna9duxZjx47F4sWL0axZM8ydOxedO3fGuXPnEBISkq/9qlWr8P7772PZsmVo2bIlzp8/j4EDB0IQBMyZM8cJZ0BEroxzShGRq2IORUTOolKp0LRpU2RmZposGkNEVJQS9xtjzpw5GDJkCAYNGoQ6depg8eLF8Pb2xrJly8y237dvH1q1aoVXXnkFERER6NSpE/r06VPkJ4NEROZw9T0iclXMoYjIWdRqNTp37oxWrVpBrS5x1z0QUQlWon5jaLVaHD16FBMmTJD3qVQqdOjQAfv37zd7TMuWLbFy5UocOnQITZs2xeXLl7Flyxb069evwNfJyclBTk6O/DgtLQ1A7q069rhdRxRFSJLEW4EU4Ngpx7FTxvj2PY6f9fi+U45jp5y9x84VvielMYfiz4RyHDvlOHbKceyU49gpx7FTrqTkTyWqKJWcnAyDwYDQ0FCT/aGhoTh79qzZY1555RUkJyejdevWkCQJer0ew4YNwwcffFDg68yYMQPTpk3Ltz8pKcku8yiIoojU1FRIksTLWa3EsVOOY6dMRkaGvJ2SkoLExEQnRuN6+L5TjmOnnL3HLj093eZ92lppzKH4M6Ecx045jp1yHDvlOHbKceyUKyn5U4kqSikRGxuL6dOn4+uvv0azZs1w8eJFjBo1Ch9//DEmT55s9pgJEyZg7Nix8uO0tDSEh4cjODgY/v7+No9RFEUIgoDg4GD+oFiJY6ccx04ZT09PedvHx8fsPCxUML7vlOPYKWfvsTP+vVCalPQcij8TynHslOPYKaPVavHZZ58BAMaNG1dqf2/aC993ynHslCsp+VOJKkoFBQXBzc0NCQkJJvsTEhJQvnx5s8dMnjwZ/fr1w+DBgwEA9erVQ0ZGBoYOHYqJEyeaHVwPDw94eHjk269Sqez2RhYEwa79l2YcO+U4dtYzntycY6cM33fKceyUs+fYucL3o7TmUPyZUI5jpxzHznrGY8WxU4bvO+U4dsqVhPypRH3X3N3d0bhxY+zcuVPeJ4oidu7ciRYtWpg9xtwKD3mTExvPDUNEZAlOdE5Erog5FBE5k0ajwdixY9G/f39oNBpnh0NELqREXSkFAGPHjsWAAQPQpEkTNG3aFHPnzkVGRgYGDRoEAOjfvz8qVqyIGTNmAAB69uyJOXPmoGHDhvKl55MnT0bPnj35ByURWc34SinjbSKiko45FBE5iyAI8PHxQUZGBvMnIrJKiStK9e7dG0lJSfjwww9x584dREVFYevWrfLEndevXzf5VG/SpEkQBAGTJk3CzZs3ERwcjJ49e+LTTz911ikQERERORxzKCIiInI1Ja4oBQAjRozAiBEjzD4XGxtr8litVmPKlCmYMmWKAyIjotLOeOlSLi1LRK6GORQROYPBYMDevXuRkZGBjh07cm4fIrIYf1sQERkxnkeFRSkiIiKiohkMBsTGxuLw4cMwGAzODoeIXEiJvFKKiMhZOKcUERERkXVUKhUaNmyIrKwsXiVFRFZhUYqIyAhX3yMiIiKyjlqtRo8ePZCYmAi1mn9iEpHlWMYmIiIiIiIiIiKHYxmbiIiIiIiIqITSGUTk6AzI0RlgECXoDCIMBhE6gwSDKOY+lvdL0BtE6MW8/4vQGySIkgRJkiBKgCgabReyP/e5h7bF//WVNxOr0ZSs//84d4e8WwLyWue1NX4u939Skf0YPy8/J0nIzsmBh8dNAEJuTw/1Uxw27Or/O7Rdj8XtSZKAnJwceHjcQM8nqqBxtWCbxGUtFqWIiIwYT86p1+udGAkRERGRa9BqtZg1axYkScI777wDT09PZ4fkdAZRRGqmFqkZWjzI0SMjW4cH2TpkZOuQkaP//209MnL0yNHpkZ6RDVG4iBydiBx9bgEq26gQRWRPzWqEOO21WZQiIiIiIiKiYtHpdM4OwSEkSUJKhhYJqZm4cz8LSWlZuJeRg5QHObifoUVKRg7uPchBWqbW9lfZEJVCLEoRERnhROdERERE1tFoNBg5ciTu3r0LjUbj7HBsIi1Li2tJD3AtKR3Xkx7g1v0MJKRkISElEzl60dnhEZUaLEoRERkRBMHsNhERERGZJwgCAgMDodVqXS5/EiUJN+9m4NytFFy4nYqriem4lvQA9zNynB1akQQAajcVNG4quLkJuf9XCVC7qaDO+///b6tUAlSCAEEAVELuY0EQoPr/x2a3Hz4mb1slQMDDeXNeTILJYxi1E+T/yP8zfa6gfUIB7YXcK9cyMzPh4+0Dlcr4Oce8Dx3xKvY6FUmS8OBBBnx9ffBY+QD7vIgFWJQiIiIiIiKiR0KOzoAzN+7j+NW7OHsrBedvpeBBtn3nEfXxUMPXUwMfTw18PdXw8dD8/2M1vD3U8FCroMvOQlDZAHi6q+GhcYOHxg2eGjd4qN3kxx4aN6jl4lNuAepRJ4oiEhMTERISYnLHAxWtpIwdi1JEREZEUTS7TURERETmGQwGHDp0COnp6WjXrl2JKg6IkoSzN1Nw7HIy4q8m48yNFOgMxc/x1CoBwQFeCA3wQjk/TwT6uKOMjwcCfTxQ1jf3/2V83RHg7Q63IsajpBQHiJyBRSkiIiOS0TKtLEoRERERFc1gMGD79u0AgCeffNLp80rl6Aw4diUZ+88l4MCFBKRkaBX1o3FToVI5H1QJ9kN4OR+UL+ON0EBvlA/0QllfT16pRGQDLEoRERnhnFJERERE1lGpVHj88ceRnZ3ttCt9dAYRRy4mYefJGzh0IdHqycjL+nqgVsVARJYPQESwLyoH+6FiWe8ir3IiouJhUYqIyAhX3yMiIiKyjlqtxrPPPovExESo1Y77E1OSJJy7lYqdJ28g9tQtpGXpLDpOJQDVwwLQoEo51KoYiJoVAxHs72XnaInIHBaliIiIiIiIyGVka/XYdeoWNh6+iiuJ6RYdUznIF40jgxEVUQ71KpeFj6dzbzEkolwsShEREREREVGJd+teBjYdvYbt8f8VuWKeSgDqhpdFi5qhaFEjFBXK+jgoSiKyBotSRERGDAaDvK3X23d5YCIiIqLSQKvVYt68eRBFEaNGjYKnp6dN+790Jw2r917E3jO3IRXRtk6lMmhfvyLa1A5DgLe7TeMgIttTXJQSRRHx8fE4ePAgbt++jaysLJQrVw41a9ZE69atERwcbMs4iYiIiEoF5lBEVBplZmbavM+zN1Ow+u8LOHAhsdB2YWW80b5eRTxVryIq8oooIpdidVHq0qVLWLhwIX788UckJSXBzc0NgYGB8PDwQEpKCjIzMyEIAtq0aYMhQ4agT58+TluBgYjIWpzonIjshTkUEZVWGo0Gb7zxBu7duweNpvhzNZ2/lYKY3edw9HJyoe2aVg9Gryci0DgyGCqumkzkkqzKdIYOHYq6devi+PHjmDZtGuLj45GdnY2kpCTcuHEDDx48QGJiIn7//Xc0aNAA7733HurUqYN9+/bZK34iIpsSjBIagckNEdkIcygiKs0EQUBISAjKli1brPzp5r0MfLouDiOX/lNgQcrbQ43nmlXFsuHR+LhPUzxRPYQFKSIXZvWVUqdPn0ZkZGSBzwcFBaFr167o2rUr5syZg1WrVuHq1ato2bJlsQIlIiIicmXMoYiIzLv/IAc//n0BW+KuwyCanzXK30uDZ5tVRa8nIuDLlfOISg2rilLffvutVZ27ubmhX79+Vh1DRORMoiia3SYiKg7mUERUmhkMBhw7dgzp6ekoV66cxbce6w0iNhy+ipV7LiBTa36BmbK+Hni+eTV0b1wZXu5cp4uotOFPNRGREUn636dzLEoRERERFc1gMGDz5s0AgBYtWlg0r1T81WQs/OM0ric/MPu8r6cGL7eORK8mEfDQcJ5PotJKUVHq7t27UKvVCAgIsHU8REROxTmliMiemEMRUWmkUqlQo0YNaLXaIq+SSkrLwpI/z2DPv7fNPq9xU+GZphHo3ao6/Lx4mx5RaWfVROdXrlxBkyZN5EnsoqOjceXKFfn51NRUrF27Fv3790doaKjNgyUisjeuvkdE9sAciohKM7Vajd69e6Nz585Qq81f96AziPhp3yUM/npPgQWpjvUrYdnwaAzuUJsFKaJHhFVXSo0ZMwbnzp3DiBEjEBISgr/++gvdunXD+vXrMX78ePzxxx/Q6XQICAhAp06d7BUzERERkUthDkVEj7KzN1Mw9/cTuJKYbvb56uX9MaLr46hdqYyDIyMiZ7OqKPXPP/9g9uzZGDp0KABg4sSJ+OCDD9CqVSukpqZi4MCB6Nu3L1q3bl1ghZyIiIjoUcMciogeRdlaPVbEnsf6Q1dgblE9X08NBj1VE10bVoabitMmED2KrMp67t69iwYNGpjsGzlyJGbOnIm5c+fi7bfftmlwRESOZjAYzG4TERUHcygiKs10Oh0WLlwIg8GAESNGwMPDA0cuJeGrLSeRkJKVr70AoEvDcAx6qhYCvN0dHzARlRhWfxT38MR1ISEhAIDmzZvbJiIiohLCeCU+IqLiYg5FRKWVJElITU0FAKRl5mD5H2ew8+RNs22rhfpjVPd6qFUx0IERElFJZXVRavDgwWjYsCFq166NOnXqoHr16hAEwaJlP4mISjpOdE5E9sIciohKK7Vajddeew1/nbyG4UsPIDVLl6+Nxk2Ffm0fw/PNq0HtZtV6W0RUillVlJo4cSJOnDiBPXv24PvvvweQu2S6JEl4/fXX0aJFCzRs2BANGzZEvXr14O7OSzGJyLUIgmB2m4ioOJhDEVFplpyeg2/33sahi6lmn69XuSxG96iHSuV8HRwZEZV0VhWlPv74Y3k7LS0NJ06ckL+OHz+O77//HosWLQIAuLu7Izs727bREhEREbkg5lBEVJptP3ETO84mQZQAlQB4uwFqAfD2UGNIh9ro0jAcKn7YR0RmKF7exd/fH61bt0br1q1N9l+6dAnx8fE4efJksYMjInI043mkOKcUEdkDcygiKi3O3knDwl0XseXUHRhE0+eqlvHAtOej0DwyyDnBEZFLsPmaw5GRkYiMjMTzzz9v666JiOxOFP+XUXH1PSJyJOZQRORK9pxPwtDvj0AvSjCI+T/Iu56qxYDlh/Ft/yZoWyPYCRESkSvgDHNERAXgnFJERERE+Z29k4ah3x+BVi+aLUgBgEGUoNWLGPr9EZy9k+bgCInIVbAoRURkxHjFPa6+R0RERJTfwl0XoRclFDXRgQRAL0r4evclR4RFRC6IRSkiIiIiIiKySFJ6zv/PIWXZ3JsGUcLmk7eR/CDHzpERkStiUYqIiIiIiIgscuDyXYsLUnkMooQDl+/aKSIicmVWTXS+bt063Lx5U9ELvf3224qOIyJyJOPJzTnRORHZCnMoIiotMnL0io57kK3sOCIq3awqSu3Zs0fRMsWCIDChIiKXI0nWfQpIRFQQ5lBEVFr4eChbwN3X0+YLvxNRKWDVb4avvvrKXnEQEZUIKtX/7mrmROdEZCvMoYiotGherRzcVIJVt/C5qQQ0r1bOjlERkasqkXNKLVy4EBEREfD09ESzZs1w6NChQtunpKRg+PDhCAsLg4eHB2rUqIEtW7Y4KFoiKk0EQTC7TUTkCphDEZG9Bft5oNvj5eGmsixPclMJ6F4vDEG+HnaOjIhcUYkrSq1duxZjx47FlClTEBcXhwYNGqBz585ITEw0216r1aJjx464evUqfvnlF5w7dw5LlixBxYoVHRw5ERERkfMwhyIiRxn+VHWoVQKKKksJANQqAW+1i3REWETkgkrcjb1z5szBkCFDMGjQIADA4sWLsXnzZixbtgzvv/9+vvbLli3DvXv3sG/fPmg0GgBARESEI0MmolLEeB4pzilFRK6EORQROUqt8v74tn8TDP3+CPSiZPZWPjeVALVKwLf9m6BWeX8nRElErqBEFaW0Wi2OHj2KCRMmyPtUKhU6dOiA/fv3mz1m48aNaNGiBYYPH44NGzYgODgYr7zyCsaPH1/gfDA5OTnIycmRH6elpQEARFGEKIo2PCPI/UqSZJe+SzuOnXIcO2WMV9zT6XQcPyvxfaccx045e4+dK3xPSmMOxZ8J5Th2ynHsLNemejn89lZLLIq9hM0nbkE0um7KTQC6PV4eb0ZHolZ5P45nEfi+U45jp1xJyZ9KVFEqOTkZBoMBoaGhJvtDQ0Nx9uxZs8dcvnwZu3btQt++fbFlyxZcvHgRb731FnQ6HaZMmWL2mBkzZmDatGn59iclJSE7O7v4J/IQURSRmpoKSZJMJlGmonHslOPYKZOZmSlvp6WlFXjbC5nH951yHDvl7D126enpNu/T1kpjDsWfCeU4dspx7KxTVgV80C4M/8wfg3MpIlTu3hC1mXgpuiEmPvUBgCwkJmY5O8wSj+875Th2ypWU/KlEFaWUEEURISEh+Pbbb+Hm5obGjRvj5s2b+OKLLwpMqCZMmICxY8fKj9PS0hAeHo7g4GD4+9v+0lJRFCEIAoKDg/mDYiWOnXIcO2X8/Pzk7XLlyiEkJMSJ0bgevu+U49gpZ++x8/T0tHmfJUFJz6H4M6Ecx045jp31tm3bhmMH/jLZt/baUXw6+X2UL1/eSVG5Fr7vlOPYKVdS8ie7FKXu3r2L06dP48knn7TquKCgILi5uSEhIcFkf0JCQoG/0MLCwqDRaEwuM69duzbu3LkDrVYLd3f3fMd4eHjAwyP/6g8qlcpub2RBEOzaf2nGsVOOY2e9h1ff49hZj+875Th2ytlz7Bz5/WAOZYo/E8px7JTj2FlOkiR89NFH+fZnZWVh9uzZmD17thOick183ynHsVOuJORPdvmuxcbGol27dlYf5+7ujsaNG2Pnzp3yPlEUsXPnTrRo0cLsMa1atcLFixdN7lc8f/48wsLCzCZTRERERCUVcygiciXbt2/HgQMHTPblfcC3aNEi3LlzxxlhEZELKXGlxLFjx2LJkiVYsWIFzpw5gzfffBMZGRnySjL9+/c3mcTzzTffxL179zBq1CicP38emzdvxvTp0zF8+HBnnQIRuTDjic6Nt4mISjrmUETkaN9//32+fXlz22VlZeGXX35xdEhE5GKsun2vfv36FrXLW4lFid69eyMpKQkffvgh7ty5g6ioKGzdulX+5Xb9+nWTy8DCw8Oxbds2jBkzBvXr10fFihUxatQojB8/XnEMRERA7iXpRES2wByKiEqjOnXqAADat28vX6kZFhYGT09PXL9+HbVq1XJmeETkAqwqSp05cwZ169ZFw4YNC2137do1/Pfff4qDGjFiBEaMGGH2udjY2Hz7WrRoke+yUSIiJYz/YCtoSXQiImsxhyKi0uiDDz5A//79ERwcDC8vLwC5txMfP34c2dnZXDCGiIpkVVHq8ccfx2OPPYbly5cX2m7dunXYs2dPsQIjInKGhyc6JyKyBeZQRFQaCYKA8PDwfPv8/f3tsqo5EZU+Vs0p1axZMxw8eNCitrzthYiIiCgXcygiIiKi/Ky6UmrcuHHo1q1bke26deuGK1euKA6KiMhZjP8Y5B+GRGQrzKGIqDQzXsWT+RMRWcOqK6UiIyPRq1evItt5eXmhSpUqioMiInIW46TKktX3bt68iYEDByI0NBSenp6oU6cOvvzyS5N+7O3IkSPo378/qlevDkEQIAgCypcv77DXJ6KiMYciotJMr9fL2yxKEZE1rLpSiojoUVLUnFKJiYlo2bIlrl+/Lu87c+YMxo4di/Pnz2PRokX2DhEAsHfvXvzwww8OeS0iIiKih3FOTiJSyqorpYiISjvjFfeKWn1v6tSpckFq6dKlSExMRI8ePQAAixcvxqFDh+wXqJGaNWti2rRp+PPPP1GxYkWHvCYRERFRHo1GI2+zKEVE1uCVUkRECoiiiFWrVgHILQq99tprAHKXRv79998BAD/++COaNm2qqP979+7Bzc0NAQEBRbbt2rUrunbtCgBQq/lrnYiIiIiIXAOvlCIiUuDy5ctITU0FANSqVUveb7wdFxenqG9RFNGlSxd07txZfg0iIiIiIqLSpthFqevXr8sT2xlvExG5IuPJzQub6DwpKUne9vf3N7udmJioKAaVSoUPPvgAcXFx6NSpEwtTRKUUcygiKi10Op28zYnOicgaxbrPw2AwoGrVqjhy5Ajq16+PqlWr4vDhw2jUqJGt4iMicholSZXxMYXNqXDo0CH079+/0L7c3d1x6NAh9OrVC3v27LE6FiIquZhDEVFpYpz/sChFRNYo9uQjkiTJv3j4C4iIXJ1K9b8LSAub6Dw4OFjeNr6SKT093Wybh2VmZuLcuXMWxXT37l2L2hGRa2EORUSlhfGclpzonIiswTmliIiMWLqkcbVq1RAYGAgAJsWls2fPytuFXfEQHR0t/0Fq7uvIkSMoU6YMKleujE2bNhXjjIiIiIjsy/hDPRaliMgaLEoRESmgUqnQp08fALlFqeXLlyMpKQnTp0+X2/Tt21dR36IoYsCAAfD398eePXtQtWrVQtvn5OQgOTkZycnJEEURQO5VF3n7cnJyFMVBRERERERkTyxKEREZsWZOhKlTp6Jy5coAgNdeew0hISH4/fffAQDDhg1D06ZNFcWgUqmwfv16xMbGIiIiosj2q1evRnBwMIKDg/Hff/8ByJ1kPW/f6tWrFcVBREREZIm8D8UA3o5MRNZhUYqIyIhxUlXY6nsAEBISgn379qF///4IDg6Gu7s7ateujTlz5mDhwoXFiqN69eoWFaSIiIiInM149VAWpYjIGsWe6JyIqLSyZE6EihUrYsWKFQ6IpmADBw7EwIEDnRoDERERPbosnZOTiOhhvFKKiMiI8Yp7ha2+R0RERES5NBqNvM2iFBFZg0UpIiIiIiIiIiJyuGIVpdzc3LB8+XJUrVrVZJuIiIiICsYcioiIiMgGc0oNGDDA7DYRkSuyZqJzIqLiYA5FRKUFJzonIqV4+x4RkRHjRMqSpEqSJDRq1AiCIGDBggX2DK1IaWlpGDhwIMLCwqBSqSAIAmJiYmz+OjExMZg6dSrmzp1rcXtBECAIAmJjY20ejy3Nnz8fgiCgUaNGTKqJiIgsZPyhHv/9JCJrsChFRGTEeHJOlaroX5Fr167FsWPHEBQUhNdff92eoRXp448/xooVK3Dnzh27JoQxMTGYNm2axUUpV/L666+jXLlyOHbsGH766Sdnh0NEROQSjBeH4UTnRGQNFqWIiIwYF6IsKUrNmTMHAPDyyy/Dy8vLbnEVJisrCwAQHx8PAAgMDERKSgokScLAgQOdEpOxgQMHQpIkSJKE6OhoZ4dTKG9vb7z44osAUCqLbkRERPbAohQRKWV1USopKQlvvfUWKleuDI1Gg8DAQDRp0gQffPABrl69aocQiYhKptOnT+Pw4cMAgBdeeMHkuYiICAiCgOjoaKxfvx716tWDp6cn6tatiw0bNpi0lSQJixcvRpMmTeDj4wNvb280b94835U6AwcOlG+Di4+PR9u2beHl5YU+ffpAEATs2LEDAJCSkoLAwEAIgiD/Xr5w4QL69++PChUqwN3dHRUrVsTQoUORkJBg8ho6nQ6zZ89Gw4YN4ePjA19fXzRo0AAxMTG4evUqBEHAnj17AADXrl2T4yms+GXu9r3Y2Fh5n/EthlOnTpX358VufPwvv/yCl156CT4+PqhatSpWrlwJg8GAKVOmIDQ0FCEhIRg6dCgyMzPN9rl3714899xz8PX1RVBQEMaMGQOtVmsSb9738sCBAzh37lyB50VkLeZQRERERKasmug8NTUVzZs3x/Xr19GmTRt07twZWq0Wly5dwpdffolZs2bh/fffx7Rp01ghJyKXZM2cUjt37gSQ++lg06ZNzbY5ceIEnn/+eXmuhX///RfPP/88tm3bhvbt2wMAXnvttXxzPx08eBC9e/fGtWvXMG7cuHz9tm/fHvfu3bPonE6ePInWrVsjLS1N3nfr1i0sWbIE27dvx+HDhxEcHAyDwYAePXpg+/bt+c4hNja2RFzlNGzYMNy9excAcPXqVfTv3x8//fQTNm3aJLdZsmQJgoKCMH369HzHP/PMM/LxGRkZmDt3Lu7fv28y/s2aNYNKpYIoitixYwdq1qxp35OiRwJzKCIqzTinFBEpZdWVUp9//jnS0tJw8OBB7Nq1C0uWLMGKFSuwd+9e3Lp1C+PGjcPMmTMxZswYe8VLRGRX1qy+FxcXBwCoWrVqgbfu3b9/H5999hnS0tLwww8/yP1OnjwZALB37165IDJx4kSkpqYiOTkZzz77LADgww8/lIsoxiIjI3Hu3DmkpaVh9uzZkCQJbdu2BQBUqVJFvl0uIiICY8aMQVpaGqpUqYJjx44hOzsbO3fuhFqtxrVr1/D5558DAFavXi0XpBo0aIC4uDg8ePAA+/fvR4cOHRAREVHg69hjQnVzwsLCcP36dfz2228AchPfTZs2YenSpUhMTETVqlUBAD///LPZ42vXro2bN2/i3LlzeOyxxwAAK1asMLkiytfXV+7n6NGj9jwdeoQwhyKi0oyr7xGRUlYVpTZt2oTRo0ejUaNG+Z4rU6YMPv30U6xYsQLz589nIk9ELq+oqxUSExMBAOXKlSuwTaVKlfDOO+/Az88Pr776Kpo0aQIg90qozMxMbNmyRW776aefIiAgAEFBQXLRJTs7G/v27cvX71dffYUaNWrAz88PkZGRBb5+ZmamfMvctWvX0LBhQ3h6eqJ9+/ZyArlr1y4AMInl66+/lm/ha968OV599dVCx8JRRo0ahfDwcHTu3FneV7lyZbz22msIDg5G8+bNAQDXr183e/yUKVNQoUIF1KhRA6NGjZL3P7wqYFBQEADku72RSCnmUERUmhnnTLzak4isYVVR6vLly2jWrFmhbfr06YOuXbvim2++KVZgRETOYDxRp/G2UpUqVTJJzipVqgQg94qs+/fvIykpqcg+zN2m16BBA4te//79+0Ve8ZXXv3EstWvXtqh/Wysq1oiICAAwuTItPDxc3nZ3dweAfPNEmWub970AgOTkZJN2xlfMEdkCcygiKs00Go28zaIUEVnDqqJUZmYm/P39i2z34osv4p9//lEcFBGRKwgJCQEAs7fX5blx44bZxyqVCmXKlEFwcLD83P79++Xb4fK+RFHEgAED8vVr6Up/ZcuWlYtrnTt3zte/JEm4fPkyAJjEcvbs2QL7tEWy6eHhIW9nZ2fL21euXCn0OLU6/1SI5vYV5L///pO3jb83eVdG5cn7noaGhlrcN1FhmEMRERER5Wf16nuW/DFStWpV3Lx5U1FARESuIu82nCtXrpis9mbsxo0bmDNnDtLT07Fy5UocOXIEQO5k2t7e3ujatavcduzYsThz5gy0Wi0uX76M+fPno0OHDsWK0cvLS54Davv27fj222+Rnp6O9PR07Nq1C/369cOPP/4IAOjevbt83PDhw3H8+HFkZmbi8OHD8nxYQO6tRkDu1UV37txRFJfxFUvbtm2DJEmIj4+Xb1u0l48//hi3b9/GhQsXMG/ePHm/8STuDx48kFdCa9y4sV3joUcLcygiolw3b97EwIEDERoaCk9PT9SpUwdffvmlRVcqa7VavPvuu2jZsiU8PT3lFXa3bt1q0s54pd+Cvhy58umWLVvQqlUr+Pj4wN/fH506dcKBAwes6mP16tVo06YNAgIC4O3tjcjISAwaNMhkHq9x48ahYcOGKFeuHNRqNcqWLYt27dph3bp1tj4lIpuwuig1ePBgDB48GPPmzcOuXbvkOVWMeXh4ID093SYBEhE5kjUTneetnmcwGHDo0CGzbYKCgjB+/Hj4+/ujX79+AHKvkvr4448BAG3atMHAgQMB5F4pVadOHXh4eCAyMhJvv/02Ll26VNxTwpdffgl/f39IkoQ33ngD/v7+8Pf3R/v27bFy5Up5bqmXX34ZnTp1AgAcO3YMUVFR8PHxQdOmTeWVBgHgiSeeAJC7el1YWBgEQcB3331nVUyVKlWS539av349/P390bBhw2Kfa1EuXLggzyl14cIFAMCAAQNMVtg7cOCA/D4oblGQyBhzKCIqrayZ6DwxMREtW7bEihUrkJiYiJycHJw5cwZjx47F8OHDi3ytzMxMzJ49G/v370dOTo7imAVBgI+Pj+LjrbF69Wr06NED+/btQ2ZmJtLT0/Hnn38iOjoaf/31l0V9jBkzBq+88gr27t2LtLQ0ZGVl4fLly4iJiTHJWVevXo34+Hjcu3cPBoMB9+/fR2xsLF544QWsXbvWXqdIpJhVRamJEyciIiICO3fuxJgxY9ChQweEhYUhNDQUHTp0wJgxY7Bs2TIcP37cXvESEdmVcSJVVFJVt25dNG3aFADwyy+/FNhmw4YNqFevHtzd3VG7dm2sW7dOLmgBwLJly7B48WI88cQT8Pb2hre3Nx577DH069cPixYtKvY51a9fH0eOHEG/fv1QoUIFqNVqhIaGomXLlpg+fTq6dOkCIHcOrd9//x1ffPEFoqKi4OXlBW9vb9SrV8/kSqKRI0eiX79++W55K4hxopQ35xOQmzR16tQJvr6+8Pf3x+TJk+2+8tivv/6KF154Ab6+vihbtixGjRqFb7/91qRN3veyRYsWJsUqouJgDkVEpZnxh3pF5U9Tp06VFyTJWz23R48eAIDFixcX+EFfHo1Gg+HDh+PHH3/EsGHDCmwXHR2db8qC//77T57WoGPHjiZTF9hLVlYWRo4cCUmSULlyZVy4cAGHDx9GQEAAcnJy8OabbxbZx5YtWzB37lwAuR+KnjhxApmZmbhw4QJmz54Nlep/f9aPHDkShw8fRlpaGhITEzF06FD5uVWrVtn8/IiKTVIoNTVV+vvvv6WFCxdKb7zxhtS8eXPJ19dXEgRBEgRBUqlUSrt2uNTUVAmAlJqaapf+DQaDdPv2bclgMNil/9KMY6ccx06ZyZMnSwAkANLvv/9eZPvVq1dLAKRy5cpJGRkZ8v4qVapIAKS2bdvaMdqSx9z7buTIkfKY3rhxw+ExTZkyRX79K1euFNo2IyNDKlu2rARAWrt2rWMC/H/8mVXO3mNn6zyBOZRl+DOhHMdOOY6dMnq9Xv63tlmzZgW2MxgMUkBAgARAqlmzprx/37598vFvv/22xa9r/G/8H3/8UWR74zxv/fr1Fr+OOVeuXJFEUSyy3bp16+TXnDFjhrx/6NCh8v4jR44U+r7r1KmTBEDy9/eX7t27Z1WcJ06ckF/n+eeft+pYV8CfWeVKSv5k+eywD/H390fr1q3RunVrk/2XLl1CfHw8Tp48qbRrIiKnMf6kyXi7IL1798Znn32G+Ph4LFu2DCNGjLBneC7l7Nmz6Ny5s/xpaJs2bVCxYkUnR1W4pUuX4t69e2jYsCFefPFFZ4dDpRRzKCIqbYxXLC5s/rzLly8jNTUVAFCrVi15v/F2XFycHSLMvcUwb7qBypUry1dnKfHff/+hUaNGePnll7Fw4cJCz9n4fAo754JyJIPBgL1798pxv/nmm9ixYwdycnLQtm1bfPHFFwWumpyQkID58+cDyP0eDRkyxPKTJHIQxUWpgkRGRiIyMhLPP/+8rbsmIipxBEHAsWPHnB1GiZSdnY3r168jMDAQbdu2xYIFC5wdUpFGjhyJkSNHOjsMekQxhyKi0i4pKUneNl6R1Hjb3Hx7trB+/Xrcvn0bADB06FCTQpq1wsPDMXjwYHzxxRcQRRGLFi0qsDBlyTkbt3nY3bt35QV1Tp06hVOnTsnPbd68GQcOHEB8fDwqVaok7585cyYmTJggP/b09ERMTAw6d+5sxVkSOYZVc0otWrTI6snkTp48iV27dll1DBGRs0hWzClVmKtXr0KSJMTGxtogKtcUFRUFSZJw//59rF+/3iRZcqSpU6fKc0lEREQ4JQYi5lBEVJoVN38yPsaSlUqVyJunU6PRYPDgwUW2X7BgAWrVqlXg18aNGyEIAr755htMnTrV6ngsPWfjSeQB4JNPPkF6ejomT54MILdolXc1VEGys7PRv39/bNmyxeo4iezNqqJUTEwMqlSpgjFjxmDfvn3Q6XRm2926dQtLly5Fhw4d0LJlS9y/f98mwRIR2Zs1q+8REVmKORQRlWbGv9MKK0oZTyyedxsfAJNVR+0x+fi5c+fkIv9zzz2H0NDQIo9JTk7GuXPnCv3KO9e7d+8W2I8l51zY4jFlypQxKVqNHDkSvr6+JlNGPLxIxvvvvw9RFJGQkICZM2cCALRaLcaPH1/UaRM5nFVFqYMHD2LRokU4duwY2rRpAz8/P9SvXx/t27dHt27d0LJlS4SFhSE8PBzvv/8+oqKicOHCBV6GTkRERI805lBEREC1atUQGBgIILdQlOfs2bPydqNGjWz+usarGb/11lsWHWN8pbW5r++++w6CIKBTp06YNWtWgf0Yn4+Sc/by8jKZf6qgNg8TBAEhISEYP368POYXLlwotB8iZ7CqKAUAzz77LGJjY3Hp0iUsWLAALVu2hK+vLwwGA6pUqYI33ngDW7duxa1btzBr1iyUL1/eHnETEdmF8fwCarXNp90jokcYcygiKq3c3d3l7cIWilGpVOjTpw+A3ALN8uXLkZSUhOnTp8tt+vbtK29HRERAEARER0eb9JOcnIzk5GR5riUASEtLQ3JyssnVSACQmZmJFStWAAAef/xxPPnkk9af4EP+++8/DB8+HJ06dcKGDRvg6elZYNuuXbuiXLlyAHKLYxcvXsSRI0ewdu1aAECdOnXQsGFDAEBsbCwEQYAgCIiJiZH7eOWVV+Tt+fPn48GDByZzdeaNz59//omZM2fi1KlTyMzMxL179zBnzhykpKQAyC0KEpU0iv7iSkxMhCAIGDx4sEX34xIRERERcygioqlTp2Lz5s24fv06XnvtNZPnhg0bhqZNmxbZh7lb/Hr37g0AaNu2rcmcnmvWrJGLMm+++abywI2Eh4djx44daNKkSaEFKSD3Kqb58+ejb9++uH79Oh577DH5OQ8PD5OruAoyduxYrF27FqdOncKkSZMwadIk+bl69erJq+rdvHkTEyZMMJnkPI9KpcJHH31k6SkSOYxVV0pdvHgRDRs2RFhYGKpVq4bg4GDMnTvXLoEtXLgQERER8PT0RLNmzXDo0CGLjluzZg0EQcAzzzxjl7iIiIiIrOWoHIr5ExGVdCEhIdi3bx/69++P4OBguLu7o3bt2pgzZw4WLlxo89fLK/r4+vqiX79+Nuu3devWRRak8vTp0we///47WrZsCW9vb/j5+aFjx46IjY216Motb29v7NmzB8OHD0eFChWgVqsRHh6Ot99+G3/99Re8vb0B5N4G2Lt3b1SrVg3e3t7QaDSoVKkSXnjhBezZswcvvPBCsc6ZyB6sulJq1KhRuHLlCt577z34+fnh77//xjvvvAOVSoW3337bZkGtXbsWY8eOxeLFi9GsWTPMnTsXnTt3xrlz5xASElLgcVevXsW7776LNm3a2CwWInq0cKJzIrIHR+RQzJ+IyFmMV4izZPW9ihUryrfUFebq1atm91uzwt/hw4ctbmtP3bp1Q7du3QptEx0dXeC5lS1bFgsWLDC5be9h9evXx5o1a4oVJ5GjWXWl1P79+zF37lzMmDEDH3zwAf744w9MmjTJ5B5gW5gzZw6GDBmCQYMGoU6dOli8eDG8vb2xbNmyAo8xGAzo27cvpk2bxntliUix4i5pTERkjiNyKOZPROQsxh/qMX8iImtYVZRKSUlBnTp1TPYNHToUiYmJuHz5sk0C0mq1OHr0KDp06PC/IFUqdOjQAfv37y/wuI8++gghISF4/fXXbRIHET2ajJfcLWyiTiIia9g7h2L+RETOZLxQjHEuRURUFKsnOn/4l0zeyjAPr3KgVHJyMgwGA0JDQ032h4aGmiybaWzv3r1YunQp4uPjLXqNnJwc5OTkyI/T0tIA5Fb4jav8tiKKIiRJskvfpR3HTjmOnTLGv+MEQeD4WYnvO+U4dsrZe+xs1a89cyhH5E+AY3Mo/kwox7FTjmOnzMO/3zh+1uH7TjmOnXIlJX+yuig1ePBgNG7cGHXr1kXdunVRo0YNq4OzpfT0dPTr1w9LlixBUFCQRcfMmDED06ZNy7c/KSkJ2dnZtg4RoigiNTUVkiTxygsrceyU49gpk5GRIW+npKQgMTHRidG4Hr7vlOPYKWfvsUtPT7dJPyUph1KSPwGOzaH4M6Ecx045jl3x6XQ65k9W4vtOOY6dciUlf7KqKDVx4kScOHECu3fvRkxMDID/VcVHjBiB5s2bo0GDBmjQoAHq1KkDjUZjXdQAgoKC4ObmhoSEBJP9CQkJ8ieKxi5duoSrV6+iZ8+e8r68ipxarca5c+cQGRlpcsyECRMwduxY+XFaWhrCw8MRHBwMf39/q2MuiiiKEAQBwcHB/EGxEsdOOY6dMnmrlwBAQEBAoZMDU3583ynHsVPO3mNn6epKhbF3DuWI/AlwbA7FnwnlOHbKceyUMZ5HSqPRFJk/SZKEJ554AseOHcNXX32F4cOH2zvEAsXExODatWsIDAzEqFGjTJ576qmnsGfPHlSpUsXqW61jY2PRvn17AMDSpUsxcODAAtu2a9cOf/31l6LXcbSmTZvi6NGjmDNnTr7xcgb+zCpXUvInq4pSH3/8sbydlpaGEydOyF/Hjx/Ht99+K19l4O7urugTM3d3dzRu3Bg7d+6UlyUWRRE7d+7EiBEj8rWvVasWTp48abJv0qRJSE9Px7x58xAeHp7vGA8PD3h4eOTbr1Kp7PZGFgTBrv2XZhw75Th21jNOqkRR5NgpwPedchw75ew5drbo0945lCPyJ8DxORR/JpTj2CnHsbOeVquVty256mLNmjU4duwYgoKCMHjwYKeO9ffffy8XnsaMGVNgO2tjNG5f1PvJleY0fe+999C7d2/MmDEDQ4YMga+vr7ND4s9sMZSE/Mnq2/fy+Pv7o3Xr1mjdurXJ/kuXLiE+Pj5fomONsWPHYsCAAWjSpAmaNm2KuXPnIiMjA4MGDQIA9O/fHxUrVsSMGTPg6emJxx9/3OT4wMBAAMi3n4iIiMjZ7JVDMX8iIlcxZ84cAMDLL78MLy8vp8SQlZVV5GvHxsY6JJZdu3YhMTHRJa7Qf+aZZxAQEICkpCT8+OOPeOONN5wdErk4m5fDIiMj8fzzz2Pq1KmK++jduzdmzZqFDz/8EFFRUYiPj8fWrVvlyTuvX7+O27dv2yhiIqL/MV49Rq1WXLcnIrJacXMo5k9E5Czu7u7ydlFXR5w+fRqHDx8GALzwwgsmz0VEREAQBERHR2P9+vWoV68ePD09UbduXWzYsMGk7YQJE9CkSRMEBwdDo9EgMDAQ0dHR2LRpk0m7gQMHQhAECIKA+Ph4tG3bFl5eXujTpw8EQcCePXsAANeuXZPb5d1qFx0dDUEQEBERIfe3detWdO7cGZUqVYKXlxc8PT1Rq1YtTJ48GVlZWVaNW56nnnoKYWFhqFatmtm4CxqjPMZx7tixA/Xq1YOXlxfatWuHy5cv49q1a+jatSt8fHxQs2ZNrFmzRvG4u7u7y7d+592OTlQcJfYvrhEjRpi93BwoumLNHw4iIiJ6FDF/IqKSbufOnQByPwhs2rSp2TYnTpzA888/L8919++//+L555/Htm3b5HmaVq9ejWvXrsnHpKamYs+ePfjrr7+wbds2dOzYMV+/7du3x71794oV/4EDB7B9+3aTfefOncMnn3yCK1euYOXKlcXqvziSk5PRs2dP+Rbw2NhYPP3008jKysKlS5cAAOfPn0ffvn0RFRWFWrVqmRxvybgDQMuWLbFy5UocPnwYaWlpdpmXmR4dvOmSiIiIiIiIHCIuLg4AULVq1QJvn7t//z4+++wzpKWl4YcffgAAGAwGTJ48WW4zZ84cnD9/Hunp6cjJycHhw4fh7e0NSZKwcOFCs/1GRkbi3LlzSEtLw+zZsyFJEtq2bQsAqFKlCiRJgiRJhRbpu3fvjn379iEpKQk6nQ63b99Gt27dAACrVq0qdtGrODIyMjB69GikpqbixRdfBACcOnUKWq0WFy9exG+//QYgd87BdevW5TveknEHgHr16snPxcfH2/GM6FHAohQRkZG8T4aA3H9oiYiIiKhwer1e3jZeNMacxMREAEC5cuUKbFOpUiW888478PPzw6uvvoomTZoAAA4ePIjMzEwAuSt7vfHGG6hcuTI8PT3xxBNPyM+dO3fObL9fffUVatSoAT8/P7MrjFqiYsWKWLJkCRo1agRvb2+EhYVhy5YtAHLP/cKFC4r6tQWNRoMPP/wQ/v7+aNeunbx/4MCBiIyMlItnQO4t3Q+zZNyB3BVf8zy86iuRtUrs7XtERM5gnEgVlVQRERERkemHerbInypVqmQyl1KlSpVw5MgRiKKI+/fv49SpU3jmmWeg0+nMHl/Q3E4NGjQoVlyiKKJHjx44duxYgW2UzitlqcI+NA0JCZGvPjO+Cq1y5coATOf+ysnJyXd8UePu7e0NwPT7TVRcvFKKiMiIKy3JS0RERFQSGC8U8/DE3A/LW2Hu7t27Bba5ceOG2ccqlQplypTB+vXr5YLUwoULkZ2dDUmSCr36CoDZ2wWLitfYxYsX5YJUhw4dkJCQAEmS8M4771jch6U8PDzk7bw5orKysgq9MqmgRXosXbynqHHPY/y9y1tMg0gp/sVFRGTEuBDFohQRERFR0awpSjVq1AgAcOXKFZNbwozduHEDc+bMQXp6OlauXIkjR44AAJo1awZvb2+Tq3x8fX2h1+vx+eefF1roKkhesSU5ORl37twptK3x63p4eMDLywtHjhyR51+ypfDwcHn7jz/+gCRJ+PTTTwu8OswWihr3PCdPngSQ+32PioqyWzz0aOBfXEREREREROQQeau4GQwGHDp0yGyboKAgjB8/Hv7+/ujXrx+A3A8LP/74YwBAjx495LYDBgyAr68vPv/8cwQGBlodzxNPPAEgd5LwsLAwCIKA7777zmzbWrVqoXr16gCAzZs3w9/fH0888QT8/Pysft2iPP/88/IHpM899xz8/f0xc+ZMk1vwbK2occ+zb98+ALljx5X3qLhYlCIiMsI5pYiIiIisY03+VLduXTRt2hQA8MsvvxTYZsOGDahXrx7c3d1Ru3ZtrFu3Ti5otWvXDkuWLEFkZCQ8PT3RvHlzbN++HQEBAVbHPnLkSPTr189k8u6CaDQabNy4Ee3atYOPjw/Cw8Mxe/ZsvPrqq1a/rrG8eaKMC061a9fGqlWrULNmTXh4eKBWrVrYunUrwsLCivVahSlq3IHcq8V+//13AMCgQYPsFgs9OgSJf3UhLS0NAQEBSE1NtUulVxRFJCYmIiQkhLcDWYljpxzHTpnJkyfjk08+AQBs3LgRPXv2dHJEroXvO+U4dsrZe+zsnSe4MnuODX8mlOPYKcexU0ar1cpzIDVt2hQHDx4stP2aNWvQp08flCtXDtevX5dvDYuIiMC1a9fQtm1bxMbG2jvsEiErKwtVq1ZFQkIC2rdvjx07djg8BmvGfe3atXj55ZcRHByMy5cvw9fX1zFBFoA/s8qVlPyJ3zUiIiIiIiJymN69eyMqKgp3797FsmXLnB2O08yYMQMVKlSQJy9/+eWXnRxR0b744gsAwMSJE51ekKLSwbJp+ImIHhHGnxIYT9pJREREROZpNBp525LV7ARBkFexe5QlJCQgNTUVVapUQe/evTFw4EBnh1SkvMnPiWyFRSkiIiPGiZQ1SwQTERERPapslT9dvXrVBtG4jrlz52Lu3LnybVTOuv3sURt3Kll4+x4RERERERERETkci1JEREZEUTS7TURERETm5a0eB3D1YiKyDotSRERGjBMpFqWIiIiIisaiFBEpxaIUEZER43kQuKwsERERUdGMF4fhnJxEZA3+xUVEZMS4EMWiFBEREVHRWJQiIqX4FxcRERERERERETkci1JEREaM50HgnAhERERERWP+RERKsShFRGTEeHJz40k7iYiIiMg8nU4nb7MoRUTWYFGKiIiIiIiIiIgcjkUpIiIjxpObG0/aSURERETmaTQaeZsTnRORNViUIiIyYpxIMakiIiIiKhrzJyJSikUpIiIiIiIiIiJyOBaliIiMGE90brxNREREROYZLw7Dic6JyBosShERGTFOpFiUIiIiIioai1JEpBSLUkRERjgnAhEREZF1jBeKYf5ERNZgUYqIyAhX3yMiIiKyjlqtlrdZlCIia7AoRUREREREREREDseiFBERERERERERORyLUkRERown6tTr9U6MhIiIiMg1aLVaeZsLxRCRNViUIiIiIiIiIiIih2NRiojICCc6JyIiIrKORqORtznRORFZg0UpIiIjxokUkyoiIiKiojF/IiKlWJQiIiIiIiIiIiKHY1GKiMiI8eScnKiTiIiIqGjGC8VIkuTESIjI1bAoRURkxDiRYlGKiIiIqGgsShGRUixKEREZ4ZwIRERERNYxXiiG+RMRWYNFKSIiI1x9j4iIiMg6arVa3mZRioiswaIUERERERERERE5HItSREREREREZLWzZ8/itddew9atW+V9kiRh/vz5GDFiBNLT050YHRG5AnXRTYiIHh3GE3Xq9XonRkJERERUsk2ePBm//PILfvzxR3nfvXv38PbbbwMAIiMjMWbMGGeFR0QuoMReKbVw4UJERETA09MTzZo1w6FDhwpsu2TJErRp0wZlypRBmTJl0KFDh0LbExEREZVGzJ+IyJFq1aoFANBqtfK+mzdv5nueiKggJbIotXbtWowdOxZTpkxBXFwcGjRogM6dOyMxMdFs+9jYWPTp0we7d+/G/v37ER4ejk6dOpn8QiQisgQnOiciV8X8iYgcbdSoUfDx8THZl5mZCQBo1KgRunTp4oywiMiFlMii1Jw5czBkyBAMGjQIderUweLFi+Ht7Y1ly5aZbf/jjz/irbfeQlRUFGrVqoXvvvsOoihi586dDo6ciFyd8YoxXD2GiFwJ8ycicrSgoCCMHDnS7HNTp05lLkVERSpxc0pptVocPXoUEyZMkPepVCp06NAB+/fvt6iPzMxM6HQ6lC1b1uzzOTk5yMnJkR+npaUBAERRhCiKxYjePFEUIUmSXfou7Th2ynHslJEkyWSb42cdvu+U49gpZ++xc4XviSPyJ8CxORR/JpTj2CnHsbPemNGjEb/2e9T20cBH7YYUrR53AkPRrVs3jqOF+L5TjmOnXEnJn0pcUSo5ORkGgwGhoaEm+0NDQ3H27FmL+hg/fjwqVKiADh06mH1+xowZmDZtWr79SUlJyM7Otj7oIoiiiNTUVEiSZHJrEBWNY6ccx04Z41Vi7t27V+BtL2Qe33fKceyUs/fYucLqUY7InwDH5lD8mVCOY6ccx84KBgO8D+9G2QM78MdT9fI9rZ0xFhmtuyKnVpTjY3MxfN8px7FTrqTkTyWuKFVcM2fOxJo1axAbGwtPT0+zbSZMmICxY8fKj9PS0hAeHo7g4GD4+/vbPCZRFCEIAoKDg/mDYiWOnXIcO2W8vb3lbT8/P4SEhDgxGtfD951yHDvl7D12BeUTpYkl+RPg2ByKPxPKceyU49hZSKeF8M0MCCcOFtjE/eo5uF89B6nHK5B69gV4K1+B+L5TjmOnXEnJn0pcUSooKAhubm5ISEgw2Z+QkIDy5csXeuysWbMwc+ZM7NixA/Xr1y+wnYeHBzw8PPLtV6lUdnsjC4Jg1/5LM46dchw76z080TnHznp83ynHsVPOnmPnCt8PR+RPgONzKP5MKMexU45jVwRJApbPAYwKUmKNelh9+Q7+Pn4S7w/qh4j/zgG3rwMAhN9XQfDxAzo+66yIXQLfd8px7JQrCflTifuuubu7o3HjxiaTbOZNutmiRYsCj/v888/x8ccfY+vWrWjSpIkjQiWiUoir7xGRK2L+REQOc+YYcOSv3G0PT2DMp1C99wX6fL0CU3/bisqDxwAffQO8OOR/x6xbBjxIc068RFSilbiiFACMHTsWS5YswYoVK3DmzBm8+eabyMjIwKBBgwAA/fv3N5nI87PPPsPkyZOxbNkyRERE4M6dO7hz5w4ePHjgrFMgIiIicijmT0TkELt//9/2K8OBuo3ztxEEoPPzwJNdcx/rdcA/2x0THxG5lBJ3+x4A9O7dG0lJSfjwww9x584dREVFYevWrfLkndevXze5mmHRokXQarV44YUXTPqZMmUKpk6d6sjQiYiIiJyC+RMR2V3mA+D4gdztgLJAs3aFt+/0PPDXH7nb+3YAnV8ovD0RPXJKZFEKAEaMGIERI0aYfS42Ntbk8dWrV+0fEBE9EgwGg9ltIiJXwPyJiOzqXhKQt8x73UaAOvfPSZ1Oh/nz58NgMODtt9/+39xz5SsBoRWBhJtAckIBnRLRo6zEFqWIiJxNkiRnh0BERERUcuQVpABArZE3JUmSl3/Plz+5/f+fnCI/7COi/FiUIiIywonOiYiIiAoQUOZ/2xdO567EJwhQq9UYMmQI7t27B7Xa6E/MtBQg4Ub+Y4mI/l+JnOiciMhZBEEwu01ERET0yAsoCzxWN3f79nXgbDyA3A/1ypcvj6CgINNl4PdsBvKmQ2jypGNjJSKXwKIUERERERERWSa6x/+2l38JJN3532Pj2/v+jQM2r8ndFgSg7f+1d+fxUdX3/sffM1khJIGQBBIISwtCbRAoSwhSQEQWlwSvLIIFXOqjtQIq2opeqdVbi17vVazwQ7GUKt6ARQURRVAE1BoxyqJRQbTsESaYkISEJLOc3x8Dw4QkkBySORPyej4eeWTmnO8585lPZoYPnznne64OTHwAmhRO3wMAPx6/Ysr/NgAAACT1+6W04XVp/x6pwCE98jt50q7Qt3k/qCwkTPFjMmTPfk/6dItknKqlhl4tJSRZGzeAoERTCgD8+E/OSVMKAADgLKGh0qxHpP+Z4z2Fr7xM9i1vqefp9bu2Vh3fJ12afEegowTQRHD6HgD4YU4pAACA84iNk373kNQ2sfYxrWKkjF9JdzzkbWQBQA34dAAAP1x9DwAA4BwMQ/povbTyb1LZieqrQ0JkGztJuuZGKSzcggABNCU0pQAAAAAA53fkoPTSX6Vvv6xxdXmP3gq/9V7ZznUEFQD4oSkFAAAAAKids1J6Z6X3anouZ/X1rWLlufE3Ot75Z0psEx/4+AA0WcwpBQB+3G53jbcBAACapT250qMzpDeW1dyQGjhczj8u0MKcr7R8xQo5nTWMAYBacKQUANTC/0p8AAAAzUpRofT6UulfG2peH99O+tVMKbW/jMpKFRQUSKJ+AlA/NKUAwA8TnQMAgGbN5ZI2vSmtWSadLKu+3m6XrrpeypgqRURKkkJDQ3XzzTersLBQoVxpD0A98IkBAH5sNluNtwEAAC563+yQlv8/Ke9Azes7d5em3yV16lZlsd1uV0pKiiIiIqp8wQcA50NTCgAAAACas0N7pdf+Ln2ZU/P6iBZS5lTpykyJI8kBNCCaUgDgx38eBOZEAAAAF7UfHdIbL0nZG6Xa6p70K6UbbpVat611Nx6PR19//bWKiooUHx/P0VIA6oymFAD48Xg8vttcfQ8AAFyUjv8orX9V2rS25ivqSVKnn0qTfyd1//l5d+dyufTaa69Jkvr168e8UgDqjE8LAKgFc0oBAICLyo9HpXdWSh+ur70ZFdNGyvyV9Msxkr1up+rZbDZ17txZlZWV1E8A6oWmFAD48b/iHlffAwAAF4W8A9KGV72n6dV2JHhEC2nMeOmq/5AiW9Rr92FhYZo2bZocDofCwsIaIGAAzQVNKQAAAAC42Hjc0s6t0vtrvFfVq01IiDTsGunaKVJM60BFBwCSaEoBAAAAwMXj+I/eI6I2r/VOZF6bkFBpyChpzEQpoX3g4gMAPzSlAMCP/+TmTHQOAACahIpyadu/vM2ob3ZIhqf2sWHh0tCx0ujxUlxCgzy80+nUkiVL5HK5dPvttysiIqJB9gvg4kdTCgBqYdR2aWQAAACrlZdJuZ9J27OlHdnextS5tIqVho6RrhwnxbZp0FAMw9DRo0d9twGgrmhKAYAfu93uu81E5wAAIKj8eFT68jNvE2rXztqvoOevc3dpRIY0cJj3KKlGEBoaqptuuknHjx9XaCj/xQRQd3xiAIAf/8sYc0ljAABgqeM/Sru/8J6St2undOxI3baLaCH1GyINu1r6SU+pkWsau92un/zkJ3I4HFW+4AOA86EpBQAAAABWqyiX9n8n7d0l7d0t/Xu3VHCOicrPZrNLP/+FlH6l1CddiohsvFgBoIHQlAIAP/7zIDAnAgAAaHDlZZLjB+nIQenwPunwfu/vY0ek+tYeIaFSz8uk3oOkX1wutW7bGBGfl8fj0Z49e3T8+HHFx8dztBSAOqMpBQB+PJ4zV6vh6nsAAKBeDEMqLfGednf8R+l4gbfZlP+D98fxg3Si6MIeo1WsdGlf79FQqf2lllENE/sFcLlcWrFihSSpd+/ezCsFoM74tACAWjCnFAAAzZTHLVWWS+UnvafVVZz0NptOlJz6Xez9XVp85n5RgbcJVZfJx+ujRUupx2VSzz7e3x26SEF2JJLNZlNSUpJcLhf1E4B6oSkFAH78r7jH1fcAoAk5+7SnaqdBnb3+PNvXuM15Tq06bwx12OZ8j1njLs9a6HbLdrLU2yyx22vYpi5x1jdfddinYXh/PG7J4zl12+O977vtkQyP3+1T4w2P5DFO/Xb73T7143Ke+nGd+e2uYdnZ4043nCrKpYpy2SpOql35SdmclTXkJADsdqlDV6nrJVLXHt5JypNSJHtw1yRhYWH69a9/LYfDobCwMKvDAdCE0JQCAABAcPnHU7L96121O32fOf7qxS6dyR3qJWDH+Nhs3vmfkjtLHbtIyV28R0AlpTBBOYBmhaYUAAAAgosh2WhEoamLbu1tPLWJlxKTpIQkKaG9lJAsxbeTwsKtjhAALEdTCkCz5/F4dN999+nw4cPq2LGjb/l3332nsWPHaty4cfrNb35jYYQAAMBSdrvUMlqKaiW1ipGioqWoGKlV9Knb0VJsnLcJ1bqtFNNaCm0+p7E5nU699NJLcjqduuWWWxQREWF1SACaCJpSAJq9r776Sk8//bQkqVevXr7lTzzxhA4fPqwPP/yQphQAAI3JZvM2fmx2v9+2U79DzqyvMub0shApNNTbBDr9OyRMCguTQkLP/A4NqzomNFQKj5QiW3hPmYuIlCc8QoVl5WrTPln2Fi2kiFPrQsO8j4caGYahQ4cO+W4DQF3RlALQ7HXt2lVxcXEqKChQbm6ub/nhw4clSQMGDLAqNABonjKnynNlpgoKChQXFyf76QbEuVRbbzv3+mq7O8/4mmYbqjbkfDHUd3w9n/Op+x6PR8eOHVN8fILsdlvt4xs8RzWNOWt8bY2nYGn4eDxyOhxSYmLQXeEumIWGhmrChAkqKipSaCj/xQRQd3xiAGj2WrVqpXvvvVf/+Z//WeO3ew8//LAFUQFAMxaXILVuK1d4FM0BMzweeSrdUus4coeAsNvt6tmzpxwOh7eJDAB1xCcGAEiaMWOG4uLiqi0fNmyYhg8fHviAAAAAAOAix5FSACApJiZGf5l5hw6sXq72LcLlNqS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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_rdd_type()" + ] + }, + { + "cell_type": "markdown", + "id": "fe200001", + "metadata": {}, + "source": [ + "## 1. What is Fuzzy RDD?\n", + "\n", + "In one sentence, Fuzzy RDD is RDD for situations where the cutoff does not \"force\" treatment.\n", + "\n", + "For example, suppose a student becomes eligible to **apply** for a scholarship if they score 70 on the exam. Under Sharp RDD, everyone who becomes eligible would receive the scholarship. But in reality:\n", + "\n", + "- A student who scored 71 and became eligible but missed the application window\n", + "- A student who scored 72 but was disqualified for incomplete documents\n", + "- A student who scored 75 but did not apply because their family is wealthy\n", + "\n", + "Conversely, someone scoring 68 might still receive it through a special review or appeals process.\n", + "\n", + "The cutoff determines **eligibility**, but actual treatment does not necessarily follow from that eligibility. This is the world of Fuzzy RDD.\n", + "\n", + "In this situation, we must distinguish the key variables:\n", + "\n", + "- $X_i$: Exam score (Running variable)\n", + "- $Z_i = \\mathbf{1}[X_i \\geq 70]$: Scholarship **eligibility** (Instrumental variable)\n", + "- $D_i$: Actual scholarship **receipt** (Treatment variable)\n", + "- $Y_i$: GPA (Outcome variable)\n", + "\n", + "In Sharp RDD, $Z_i = D_i$. In Fuzzy RDD, $Z_i \\neq D_i$. $Z_i$ influences $D_i$ but does not fully determine it." + ] + }, + { + "cell_type": "markdown", + "id": "fe300001", + "metadata": {}, + "source": [ + "## 2. Estimation Target\n", + "\n", + "Fuzzy RDD estimates the LATE restricted to **Compliers**.\n", + "\n", + "Based on the value of the instrumental variable $Z_i$ (eligibility), individuals can be classified into four types." + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "fe300002", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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TypeD when Z=0D when Z=1Description
0Complier01Takes treatment only when eligible ← estimatio...
1Always-taker11Always takes treatment regardless of eligibility
2Never-taker00Never takes treatment even when eligible
3Defier10Refuses treatment when eligible (excluded by m...
\n", + "
" + ], + "text/plain": [ + " Type D when Z=0 D when Z=1 \\\n", + "0 Complier 0 1 \n", + "1 Always-taker 1 1 \n", + "2 Never-taker 0 0 \n", + "3 Defier 1 0 \n", + "\n", + " Description \n", + "0 Takes treatment only when eligible ← estimatio... \n", + "1 Always takes treatment regardless of eligibility \n", + "2 Never takes treatment even when eligible \n", + "3 Refuses treatment when eligible (excluded by m... " + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.DataFrame({\n", + " 'Type': ['Complier', 'Always-taker', 'Never-taker', 'Defier'],\n", + " 'D when Z=0': [0, 1, 0, 1],\n", + " 'D when Z=1': [1, 1, 0, 0],\n", + " 'Description': [\n", + " 'Takes treatment only when eligible \\u2190 estimation target',\n", + " 'Always takes treatment regardless of eligibility',\n", + " 'Never takes treatment even when eligible',\n", + " 'Refuses treatment when eligible (excluded by monotonicity assumption)',\n", + " ]\n", + "})" + ] + }, + { + "cell_type": "markdown", + "id": "fe300003", + "metadata": {}, + "source": [ + "Under the Monotonicity assumption, we assume there are no Defiers. The effect estimated near the cutoff is then:\n", + "\n", + "$$\\tau_{Fuzzy} = \\mathbb{E}[Y_i(1) - Y_i(0) \\mid \\text{Complier},\\; X_i = c]$$\n", + "\n", + "That is, this is the treatment effect — near the cutoff — for those who received treatment because they became eligible (Compliers).\n", + "\n", + "**Difference from ATE (Average Treatment Effect)**: Always-takers and Never-takers are not included. We cannot estimate the effect for those who always receive (or never receive) treatment regardless of eligibility. This is both a fundamental limitation of Fuzzy RDD and, at the same time, an honest estimate." + ] + }, + { + "cell_type": "markdown", + "id": "fe400001", + "metadata": {}, + "source": [ + "## 3. Key Assumptions (IV)\n", + "\n", + "Fuzzy RDD is fundamentally an **Instrumental Variable (IV)** estimation problem.\n", + "\n", + "We use $Z_i = \\mathbf{1}[X_i \\geq c]$ as the instrumental variable. For this instrument to be valid, three conditions must hold.\n", + "\n", + "### Relevance\n", + "\n", + "$Z_i$ must have a meaningful effect on $D_i$. Eligibility must raise the probability of treatment.\n", + "\n", + "$$\\text{Cov}(Z_i,\\, D_i) \\neq 0$$\n", + "\n", + "This is verified using the F-statistic from the first-stage regression. Conventionally, $F > 10$ is considered a strong instrument.\n", + "\n", + "### Exclusion Restriction\n", + "\n", + "$Z_i$ must affect $Y_i$ only through $D_i$. That is, the mere fact of crossing the 70-point threshold should not directly change GPA. GPA should rise because the scholarship was received, not simply because eligibility was granted." + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "fe400002", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1, 2, figsize=(12, 4.5))\n", + "\n", + "pos = {'Z': (0.12, 0.50), 'D': (0.50, 0.50), 'Y': (0.88, 0.50), 'U': (0.50, 0.85)}\n", + "node_colors = {'Z': '#AED6F1', 'D': '#A9DFBF', 'Y': '#F9E79F', 'U': '#D7DBDD'}\n", + "node_labels = {'Z': 'Z\\n(Eligibility)', 'D': 'D\\n(Treatment)', 'Y': 'Y\\n(Outcome)', 'U': 'U\\n(Confounder)'}\n", + "R = 0.09\n", + "\n", + "def draw_nodes(ax):\n", + " for name, (x, y) in pos.items():\n", + " circle = plt.Circle((x, y), R, color=node_colors[name], ec='#555', lw=1.8, zorder=3)\n", + " ax.add_patch(circle)\n", + " ax.text(x, y, node_labels[name], ha='center', va='center', fontsize=11,\n", + " fontweight='bold', zorder=4, linespacing=1.3)\n", + "\n", + "def arrow(ax, a, b, color='#333', lw=1.8, rad=0.0, ls='-'):\n", + " x1, y1 = pos[a]; x2, y2 = pos[b]\n", + " dx, dy = x2 - x1, y2 - y1\n", + " dist = (dx**2 + dy**2) ** 0.5\n", + " sx = x1 + R * dx / dist; sy = y1 + R * dy / dist\n", + " ex = x2 - R * dx / dist; ey = y2 - R * dy / dist\n", + " style = f'arc3,rad={rad}' if rad != 0 else 'arc3,rad=0'\n", + " ax.annotate('', xy=(ex, ey), xytext=(sx, sy),\n", + " arrowprops=dict(arrowstyle='->', color=color, lw=lw,\n", + " connectionstyle=style,\n", + " linestyle=ls))\n", + "\n", + "# ── Left: Exclusion Restriction Violated ──\n", + "ax = axes[0]\n", + "ax.set_xlim(0, 1); ax.set_ylim(0.1, 1.05); ax.axis('off')\n", + "ax.set_title('Exclusion Restriction Violated\\n(Z directly affects Y)', fontsize=13, fontweight='bold', color='#C0392B')\n", + "draw_nodes(ax)\n", + "arrow(ax, 'Z', 'D')\n", + "arrow(ax, 'D', 'Y')\n", + "arrow(ax, 'U', 'D', color='#888', lw=1.4)\n", + "arrow(ax, 'U', 'Y', color='#888', lw=1.4)\n", + "arrow(ax, 'Z', 'Y', color='#E74C3C', lw=2.2, rad=-0.38) # direct path (violation)\n", + "# ✗ annotation\n", + "mx = (pos['Z'][0] + pos['Y'][0]) / 2\n", + "my = min(pos['Z'][1], pos['Y'][1]) - 0.20\n", + "ax.text(mx, my, '\\u2717 Direct path exists', color='#E74C3C', fontsize=11,\n", + " ha='center', fontweight='bold')\n", + "ax.text(mx, my - 0.10, 'Z \\u2192 Y \\u2192 IV invalid', color='#E74C3C', fontsize=10, ha='center')\n", + "\n", + "# ── Right: Exclusion Restriction Holds ──\n", + "ax2 = axes[1]\n", + "ax2.set_xlim(0, 1); ax2.set_ylim(0.1, 1.05); ax2.axis('off')\n", + "ax2.set_title('Exclusion Restriction Holds\\n(Z affects Y only through D)', fontsize=13, fontweight='bold', color='#1A5276')\n", + "draw_nodes(ax2)\n", + "arrow(ax2, 'Z', 'D')\n", + "arrow(ax2, 'D', 'Y')\n", + "arrow(ax2, 'U', 'D', color='#888', lw=1.4)\n", + "arrow(ax2, 'U', 'Y', color='#888', lw=1.4)\n", + "mx2 = (pos['Z'][0] + pos['Y'][0]) / 2\n", + "my2 = min(pos['Z'][1], pos['Y'][1]) - 0.20\n", + "ax2.text(mx2, my2, '\\u2713 Unique path: Z \\u2192 D \\u2192 Y', color='#1A5276',\n", + " fontsize=11, ha='center', fontweight='bold')\n", + "ax2.text(mx2, my2 - 0.10, 'Z affects Y only through D', color='#1A5276',\n", + " fontsize=10, ha='center')\n", + "\n", + "plt.suptitle('Exclusion Restriction', fontsize=14, fontweight='bold', y=1.01)\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "fe400003", + "metadata": {}, + "source": [ + "\n", + "### Monotonicity\n", + "\n", + "There must be no Defiers. No one should refuse treatment when they become eligible.\n", + "\n", + "$$D_i(Z=1) \\geq D_i(Z=0) \\quad \\forall i$$\n", + "\n", + "When these three assumptions hold, the Fuzzy LATE can be expressed cleanly as the **Wald estimator**:\n", + "\n", + "$$\\hat{\\tau}_{Fuzzy} = \\frac{\\text{ITT}_Y}{\\text{ITT}_D} = \\frac{\\text{Jump in Y}}{\\text{Jump in D}}$$\n", + "\n", + "$\\text{ITT}_Y$ is the effect of eligibility on the outcome (Reduced form), and $\\text{ITT}_D$ is the effect of eligibility on actual treatment (First stage). Intuitively, dividing \"how much Y jumped\" by \"how much D jumped\" gives the per-unit effect for the Compliers who actually received treatment." + ] + }, + { + "cell_type": "markdown", + "id": "fe500001", + "metadata": {}, + "source": [ + "## 4. Understanding Fuzzy RDD with Formulas\n", + "\n", + "The ultimate goal of Fuzzy RDD is to obtain the LATE via the **Wald estimator**.\n", + "\n", + "$$\\hat{\\tau}_{Fuzzy} = \\frac{\\widehat{\\text{ITT}}_Y}{\\widehat{\\text{ITT}}_D} = \\frac{\\text{Jump in Y}}{\\text{Jump in D}}$$\n", + "\n", + "To do this, we must distinguish **three regressions**.\n", + "\n", + "| Name | Path | Estimation Target | Role |\n", + "|------|------|-----------|------|\n", + "| **Reduced Form** | $Z_i \\rightarrow Y_i$ | $\\widehat{\\text{ITT}}_Y$ | Wald numerator / pre-check |\n", + "| **2SLS First Stage** | $Z_i \\rightarrow D_i$ | $\\widehat{\\text{ITT}}_D$ | Wald denominator / instrument strength |\n", + "| **2SLS Second Stage** | $\\hat{D}_i \\rightarrow Y_i$ | $\\hat{\\beta}_1 = \\text{LATE}$ | Final estimate (= Wald equivalent) |\n", + "\n", + "---\n", + "\n", + "### Reduced Form: $Z_i \\rightarrow Y_i$\n", + "\n", + "$$Y_i = \\gamma_0 + \\gamma_1 Z_i + \\gamma_2(X_i - c) + \\gamma_3 Z_i(X_i - c) + \\varepsilon_i$$\n", + "\n", + "- **Purpose**\n", + " - **Pre-check role**: Before running 2SLS, we first verify whether \"the instrument $Z_i$ actually reaches the outcome $Y_i$.\" If $\\hat{\\gamma}_1 \\approx 0$, running 2SLS will also yield a LATE estimate near zero, signaling that the analysis design itself needs to be reconsidered.\n", + " - **Wald numerator role**: At the same time, $\\hat{\\gamma}_1$ is used directly as the Wald numerator ($\\widehat{\\text{ITT}}_Y$). Thus, the Reduced Form serves simultaneously as a pre-check and as an ingredient for the final estimate.\n", + "- **Key coefficient**: $\\hat{\\gamma}_1 = \\widehat{\\text{ITT}}_Y$ (jump in Y at the cutoff)\n", + "\n", + "---\n", + "\n", + "### 2SLS (Two-Stage Least Squares)\n", + "\n", + "$D_i$ (actual treatment) is an **endogenous variable**. People who received the scholarship may have differed from those who did not from the start (in ability, motivation, etc.), so regressing $Y_i$ directly on $D_i$ produces bias.\n", + "\n", + "2SLS extracts from $D_i$ only **the part exogenously driven by instrument $Z_i$**, and uses that part to explain $Y_i$.\n", + "\n", + "#### First Stage: $Z_i \\rightarrow D_i$\n", + "\n", + "$$D_i = \\alpha_0 + \\alpha_1 Z_i + \\alpha_2(X_i - c) + \\alpha_3 Z_i(X_i - c) + \\varepsilon_i^{(1)}$$\n", + "\n", + "- **Purpose**: Confirms how much eligibility ($Z_i$) changes actual treatment ($D_i$).\n", + "- **Key coefficient**: $\\hat{\\alpha}_1 = \\widehat{\\text{ITT}}_D$ (jump in treatment probability at the cutoff)\n", + "- **Diagnostic**: F-statistic $\\geq 10$ indicates a strong instrument; below 10 signals a weak instrument problem.\n", + "- **Output**: Fitted values $\\hat{D}_i$ — the exogenous part of treatment explained by the instrument\n", + "\n", + "#### Second Stage: $\\hat{D}_i \\rightarrow Y_i$\n", + "\n", + "$$Y_i = \\beta_0 + \\beta_1 \\hat{D}_i + \\beta_2(X_i - c) + \\beta_3 \\hat{D}_i(X_i - c) + \\varepsilon_i^{(2)}$$\n", + "\n", + "- **Purpose**: By plugging the first-stage fitted values $\\hat{D}_i$ in place of the treatment variable, we estimate the treatment effect with endogeneity removed.\n", + "- **Key coefficient**: $\\hat{\\beta}_1$ = **LATE estimator**\n", + "\n", + "---\n", + "\n", + "### Final Calculation: Wald Estimator\n", + "\n", + "The $\\hat{\\beta}_1$ from the second stage of 2SLS is exactly equal to the Wald estimator.\n", + "\n", + "$$\\hat{\\beta}_1 = \\frac{\\hat{\\gamma}_1}{\\hat{\\alpha}_1} = \\frac{\\widehat{\\text{ITT}}_Y}{\\widehat{\\text{ITT}}_D}$$\n", + "\n", + "For example, if GPA increases by 0.3 points when eligibility is granted ($\\text{ITT}_Y$) and the treatment probability increases by 50 percentage points ($\\text{ITT}_D$), then the per-Complier effect is $0.3 \\div 0.5 = 0.6$ points.\n", + "\n", + "> **Note**: Implementing the second stage manually yields the correct point estimate ($\\hat{\\beta}_1$), but **standard errors are underestimated**. In practice, an IV estimation package such as `linearmodels` should be used." + ] + }, + { + "cell_type": "markdown", + "id": "fe510001", + "metadata": {}, + "source": [ + "## 5. Visualization\n", + "\n", + "We visualize the three stages of Fuzzy RDD estimation on one screen. Before looking at the graphs, make sure you understand what each panel contains.\n", + "\n", + "- **Left — Reduced Form (Z → Y)**: A scatter plot of exam score (X) and GPA (Y). Regression lines are fitted on each side of the cutoff, showing how much GPA jumps at the cutoff ($\\widehat{\\text{ITT}}_Y$). This serves as a pre-check to confirm that the instrument actually reaches the outcome before running 2SLS.\n", + "- **Center — 2SLS First Stage (Z → D)**: A scatter plot of exam score (X) and actual treatment status (D). This shows how much treatment probability jumps at the cutoff ($\\widehat{\\text{ITT}}_D$) and visually confirms the strength of the instrument.\n", + "- **Right — 2SLS Second Stage Result**: The LATE estimated by 2SLS and its 95% confidence interval. The diamond (◆) is the point estimate, the horizontal line is the confidence interval, and the green dashed line is the True LATE set in the simulation." + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "fe500002", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "n = 1000\n", + "cutoff = 70\n", + "true_late = 0.6\n", + "\n", + "score = np.random.uniform(40, 100, n)\n", + "elig = (score >= cutoff).astype(int)\n", + "treated = np.where(elig == 1,\n", + " np.random.binomial(1, 0.65, n),\n", + " np.random.binomial(1, 0.15, n))\n", + "gpa = (2.0 + 0.012*(score - cutoff)\n", + " + true_late * treated\n", + " + np.random.normal(0, 0.3, n))\n", + "\n", + "df_viz = pd.DataFrame({'score': score, 'elig': elig,\n", + " 'treated': treated, 'gpa': gpa,\n", + " 'score_c': score - cutoff})\n", + "\n", + "# First stage → D_hat\n", + "fs_viz = smf.ols('treated ~ elig + score_c + elig:score_c', data=df_viz).fit()\n", + "df_viz['D_hat'] = fs_viz.fittedvalues\n", + "\n", + "# Second stage → LATE\n", + "ss_viz = smf.ols('gpa ~ D_hat + score_c + D_hat:score_c', data=df_viz).fit()\n", + "LATE = ss_viz.params['D_hat']\n", + "LATE_se = ss_viz.bse['D_hat']\n", + "LATE_ci = ss_viz.conf_int().loc['D_hat'].values # [lower, upper]\n", + "\n", + "fig, axes = plt.subplots(1, 3, figsize=(18, 5))\n", + "left = df_viz[df_viz['elig'] == 0]\n", + "right = df_viz[df_viz['elig'] == 1]\n", + "xs_l = np.linspace(40, cutoff, 100)\n", + "xs_r = np.linspace(cutoff, 100, 100)\n", + "\n", + "ACCENT = 'steelblue'\n", + "GREEN = '#27ae60'\n", + "GRAY = '#555555'\n", + "\n", + "# ── Left: Reduced Form (Z → Y) ──\n", + "ax = axes[0]\n", + "ax.scatter(left['score'], left['gpa'], color='tomato', alpha=0.2, s=10, label='Ineligible (Z=0)')\n", + "ax.scatter(right['score'], right['gpa'], color='steelblue', alpha=0.2, s=10, label='Eligible (Z=1)')\n", + "m_y_l = smf.ols('gpa ~ score_c', data=left).fit()\n", + "m_y_r = smf.ols('gpa ~ score_c', data=right).fit()\n", + "ax.plot(xs_l, m_y_l.predict(pd.DataFrame({'score_c': xs_l - cutoff})), color='tomato', lw=2.5)\n", + "ax.plot(xs_r, m_y_r.predict(pd.DataFrame({'score_c': xs_r - cutoff})), color='steelblue', lw=2.5)\n", + "y_l_gpa = m_y_l.params['Intercept']\n", + "y_r_gpa = m_y_r.params['Intercept']\n", + "ax.scatter([cutoff], [y_l_gpa], s=90, color='tomato', zorder=6, facecolors='none', edgecolors='tomato', linewidths=2)\n", + "ax.scatter([cutoff], [y_r_gpa], s=90, color='steelblue', zorder=6)\n", + "ax.annotate('', xy=(cutoff, y_r_gpa), xytext=(cutoff, y_l_gpa),\n", + " arrowprops=dict(arrowstyle='<->', color='black', lw=2))\n", + "ax.text(cutoff + 1, (y_l_gpa + y_r_gpa) / 2,\n", + " f'ITT_Y\\n= {y_r_gpa - y_l_gpa:.3f}', fontsize=10, fontweight='bold', va='center')\n", + "ax.axvline(cutoff, color='gray', ls=':', lw=1.5)\n", + "ax.set_title('Reduced Form\\n(Z \\u2192 Y)', fontsize=13, fontweight='bold')\n", + "ax.set_xlabel('Exam Score (X)', fontsize=11)\n", + "ax.set_ylabel('GPA (Y)', fontsize=11)\n", + "ax.legend(fontsize=9)\n", + "\n", + "# ── Center: 2SLS First Stage (Z → D) ──\n", + "ax2 = axes[1]\n", + "ax2.scatter(left['score'], left['treated'] + np.random.normal(0, 0.012, len(left)),\n", + " color='tomato', alpha=0.2, s=10)\n", + "ax2.scatter(right['score'], right['treated'] + np.random.normal(0, 0.012, len(right)),\n", + " color='steelblue', alpha=0.2, s=10)\n", + "m_d_l = smf.ols('treated ~ score_c', data=left).fit()\n", + "m_d_r = smf.ols('treated ~ score_c', data=right).fit()\n", + "ax2.plot(xs_l, m_d_l.predict(pd.DataFrame({'score_c': xs_l - cutoff})), color='tomato', lw=2.5)\n", + "ax2.plot(xs_r, m_d_r.predict(pd.DataFrame({'score_c': xs_r - cutoff})), color='steelblue', lw=2.5)\n", + "y_l_d = m_d_l.params['Intercept']\n", + "y_r_d = m_d_r.params['Intercept']\n", + "ax2.scatter([cutoff], [y_l_d], s=90, color='tomato', zorder=6, facecolors='none', edgecolors='tomato', linewidths=2)\n", + "ax2.scatter([cutoff], [y_r_d], s=90, color='steelblue', zorder=6)\n", + "ax2.annotate('', xy=(cutoff, y_r_d), xytext=(cutoff, y_l_d),\n", + " arrowprops=dict(arrowstyle='<->', color='black', lw=2))\n", + "ax2.text(cutoff + 1, (y_l_d + y_r_d) / 2,\n", + " f'ITT_D\\n= {y_r_d - y_l_d:.3f}', fontsize=10, fontweight='bold', va='center')\n", + "ax2.axvline(cutoff, color='gray', ls=':', lw=1.5)\n", + "ax2.set_title('2SLS First Stage\\n(Z \\u2192 D)', fontsize=13, fontweight='bold')\n", + "ax2.set_xlabel('Exam Score (X)', fontsize=11)\n", + "ax2.set_ylabel('Treatment (D)', fontsize=11)\n", + "\n", + "# ── Right: Forest Plot (LATE + 95% CI) ──\n", + "ax3 = axes[2]\n", + "y_pos = 0\n", + "ax3.barh(y_pos, LATE_ci[1] - LATE_ci[0], left=LATE_ci[0],\n", + " height=0.25, color=ACCENT, alpha=0.25, zorder=2) # CI shading\n", + "ax3.hlines(y_pos, LATE_ci[0], LATE_ci[1],\n", + " colors=ACCENT, lw=2.5, zorder=3) # CI horizontal line\n", + "ax3.vlines([LATE_ci[0], LATE_ci[1]], y_pos - 0.07, y_pos + 0.07,\n", + " colors=ACCENT, lw=2.5, zorder=3) # end caps\n", + "ax3.scatter([LATE], [y_pos], color='white', s=120,\n", + " marker='D', zorder=5, edgecolors=ACCENT, linewidths=1.8) # point estimate (diamond)\n", + "ax3.axvline(true_late, color=GREEN, lw=1.5, ls=':',\n", + " label=f'True LATE = {true_late}', zorder=1) # True effect vertical line\n", + "ax3.axvline(0, color=GRAY, lw=1, ls='--', alpha=0.5, zorder=1) # zero reference line\n", + "ax3.text(LATE, y_pos + 0.18, f'{LATE:.3f}',\n", + " ha='center', color=ACCENT, fontsize=13, fontweight='bold')\n", + "ax3.text(LATE, y_pos - 0.22,\n", + " f'95% CI: [{LATE_ci[0]:.3f}, {LATE_ci[1]:.3f}]',\n", + " ha='center', color=GRAY, fontsize=9)\n", + "ax3.text(LATE, y_pos - 0.35, f'SE = {LATE_se:.3f}',\n", + " ha='center', color=GRAY, fontsize=9)\n", + "\n", + "ax3.set_xlim(min(LATE_ci[0] - 0.3, -0.1), max(LATE_ci[1] + 0.3, true_late + 0.2))\n", + "ax3.set_ylim(-0.6, 0.6)\n", + "ax3.set_yticks([0])\n", + "ax3.set_title('2SLS Second Stage Result\\n(LATE estimator)', fontsize=13, fontweight='bold')\n", + "ax3.set_xlabel('Effect on GPA', fontsize=11)\n", + "ax3.set_ylabel('LATE (2SLS)', fontsize=10)\n", + "ax3.legend(fontsize=9, loc='upper left')\n", + "ax3.spines[['top', 'right', 'left']].set_visible(False)\n", + "\n", + "plt.suptitle(\n", + " f'Reduced Form (ITT_Y = {y_r_gpa - y_l_gpa:.3f}) \\u2192 '\n", + " f'First Stage (ITT_D = {y_r_d - y_l_d:.3f}) \\u2192 '\n", + " f'LATE = {LATE:.3f}',\n", + " fontsize=13, fontweight='bold'\n", + ")\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "fe510002", + "metadata": {}, + "source": [ + "Here are the key points to check when reading the graphs.\n", + "\n", + "**Left and center: Compare the size of the jumps.** The Y jump in the Reduced Form ($\\widehat{\\text{ITT}}_Y$) should be smaller than the D jump in the First Stage ($\\widehat{\\text{ITT}}_D$) in the center panel. In Fuzzy RDD, only a fraction of those who become eligible actually receive treatment. If the Y jump is larger than the D jump, that is a signal of a problem with the design or the data.\n", + "\n", + "**Right: Check whether the confidence interval includes zero.** If the confidence interval includes zero, we fail to reject the hypothesis that \"there is no treatment effect.\" Also check how close the True LATE (green dashed line) is to the estimate (◆). The larger the sample, the closer the estimate converges to the True LATE.\n", + "\n", + "**Verify by computing the Wald estimator directly.** Dividing $\\widehat{\\text{ITT}}_Y$ from the left graph by $\\widehat{\\text{ITT}}_D$ from the center graph yields the same value as the LATE in the Forest Plot. This relationship is also summarized in the overall title." + ] + }, + { + "cell_type": "markdown", + "id": "fe600001", + "metadata": {}, + "source": [ + "## 6. Examples\n", + "\n", + "### Example 1: Scholarship Eligibility\n", + "\n", + "| Item | Content |\n", + "|------|------|\n", + "| **Running Variable** | Exam score |\n", + "| **Cutoff** | 70 points |\n", + "| **Z (Eligibility)** | Score ≥ 70 → eligible to apply for scholarship |\n", + "| **D (Treatment)** | Actual scholarship receipt |\n", + "| **Y (Outcome)** | GPA |\n", + "\n", + "Crossing 70 points grants application eligibility, but students may not apply or may be disqualified for missing documents. Conversely, some may receive the scholarship through a special review even below the cutoff. Since D does not fully follow Z, this is a Fuzzy design.\n", + "\n", + "Wald estimator example:\n", + "\n", + "| | Below cutoff (Z=0) | Above cutoff (Z=1) |\n", + "|---|---|---|\n", + "| Actual receipt rate (ITT_D) | 10% | 65% |\n", + "| Average GPA (ITT_Y) | 2.0 | 2.3 |\n", + "\n", + "$$\\hat{\\tau}_{Fuzzy} = \\frac{2.3 - 2.0}{0.65 - 0.10} = \\frac{0.3}{0.55} \\approx 0.55$$\n", + "\n", + "→ The effect on GPA for students who received the scholarship because they became eligible (Compliers) is approximately 0.55 points.\n", + "\n", + "---\n", + "\n", + "### Example 2: Health Insurance Eligibility (Medicare at 65)\n", + "\n", + "| Item | Content |\n", + "|------|------|\n", + "| **Running Variable** | Age |\n", + "| **Cutoff** | Age 65 |\n", + "| **Z (Eligibility)** | Age ≥ 65 → eligible to enroll in Medicare |\n", + "| **D (Treatment)** | Actual Medicare enrollment |\n", + "| **Y (Outcome)** | Healthcare utilization, mortality, etc. |\n", + "\n", + "Turning 65 grants Medicare eligibility, but not everyone enrolls immediately. Those with employer-sponsored insurance or low-income individuals already on Medicaid may delay enrollment. Card et al. (2008) used this design to estimate the causal effect of Medicare enrollment on healthcare utilization and mortality.\n", + "\n", + "In this way, Fuzzy RDD naturally arises whenever \"eligibility\" and \"actual receipt\" are separated." + ] + }, + { + "cell_type": "markdown", + "id": "fe700001", + "metadata": {}, + "source": [ + "## 7. Simulation Code\n", + "\n", + "Let us run a simulation directly. We set up a scenario where scholarship application eligibility is granted at an exam score of 70, with a **compliance rate** of 50%.\n", + "\n", + "- Treatment rate among the ineligible group: 10% (Always-takers)\n", + "- Treatment rate among the eligible group: 60% (Always-takers + Compliers)\n", + "- Complier proportion: 60% - 10% = 50%\n", + "- True treatment effect (True LATE): GPA +0.5 points" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "fe700002", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Total sample: 1000\n", + "Ineligible (Z=0) - treatment rate: 11.1%\n", + "Eligible (Z=1) - treatment rate: 56.9%\n", + "Treatment probability jump (estimated compliance rate): 45.8%\n" + ] + }, + { + "data": { + "text/html": [ + "
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scoreeligtreatedgpascore_c
053.160738001.606919-16.839262
164.780704002.420633-5.219296
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\n", + "
" + ], + "text/plain": [ + " score elig treated gpa score_c\n", + "0 53.160738 0 0 1.606919 -16.839262\n", + "1 64.780704 0 0 2.420633 -5.219296\n", + "2 98.598129 1 0 2.733795 28.598129\n", + "3 45.333941 0 0 1.691864 -24.666059\n", + "4 68.757392 0 0 1.821720 -1.242608\n", + "5 99.253030 1 0 2.183469 29.253030\n", + "6 51.888465 0 0 1.491415 -18.111535\n", + "7 94.702911 1 0 2.066975 24.702911" + ] + }, + "execution_count": 36, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.random.seed(2026)\n", + "n = 1000\n", + "cutoff = 70\n", + "true_late = 0.5\n", + "p_below = 0.10 # always-taker proportion\n", + "p_above = 0.60 # always-taker + complier proportion\n", + "\n", + "score = np.random.uniform(40, 100, n)\n", + "elig = (score >= cutoff).astype(int) # Z_i\n", + "treated = np.where(elig == 1,\n", + " np.random.binomial(1, p_above, n),\n", + " np.random.binomial(1, p_below, n)) # D_i\n", + "gpa = (2.0\n", + " + 0.012 * (score - cutoff) # natural effect of running variable\n", + " + true_late * treated # treatment effect (only for Compliers)\n", + " + np.random.normal(0, 0.3, n))\n", + "\n", + "df = pd.DataFrame({\n", + " 'score': score, 'elig': elig,\n", + " 'treated': treated, 'gpa': gpa,\n", + " 'score_c': score - cutoff,\n", + "})\n", + "\n", + "print(f\"Total sample: {n}\")\n", + "print(f\"Ineligible (Z=0) - treatment rate: {treated[elig==0].mean():.1%}\")\n", + "print(f\"Eligible (Z=1) - treatment rate: {treated[elig==1].mean():.1%}\")\n", + "print(f\"Treatment probability jump (estimated compliance rate): {treated[elig==1].mean() - treated[elig==0].mean():.1%}\")\n", + "df.head(8)" + ] + }, + { + "cell_type": "code", + "execution_count": 37, + "id": "fe700003", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1, 2, figsize=(13, 5))\n", + "\n", + "# ── Left: GPA scatter plot (Reduced form) ──\n", + "ax = axes[0]\n", + "left_ = df[df['elig'] == 0]\n", + "right_ = df[df['elig'] == 1]\n", + "ax.scatter(left_['score'], left_['gpa'], color='tomato', alpha=0.3, s=12, label='Ineligible (Z=0)')\n", + "ax.scatter(right_['score'], right_['gpa'], color='steelblue', alpha=0.3, s=12, label='Eligible (Z=1)')\n", + "\n", + "m_y_l = smf.ols('gpa ~ score_c', data=left_).fit()\n", + "m_y_r = smf.ols('gpa ~ score_c', data=right_).fit()\n", + "xs_l = np.linspace(40, cutoff, 100)\n", + "xs_r = np.linspace(cutoff, 100, 100)\n", + "ax.plot(xs_l, m_y_l.predict(pd.DataFrame({'score_c': xs_l - cutoff})), color='tomato', lw=2.5)\n", + "ax.plot(xs_r, m_y_r.predict(pd.DataFrame({'score_c': xs_r - cutoff})), color='steelblue', lw=2.5)\n", + "y_l_gpa = m_y_l.params['Intercept']\n", + "y_r_gpa = m_y_r.params['Intercept']\n", + "ax.scatter([cutoff], [y_l_gpa], s=90, color='tomato', zorder=6, facecolors='none', edgecolors='tomato', linewidths=2)\n", + "ax.scatter([cutoff], [y_r_gpa], s=90, color='steelblue', zorder=6)\n", + "ax.annotate('', xy=(cutoff, y_r_gpa), xytext=(cutoff, y_l_gpa),\n", + " arrowprops=dict(arrowstyle='<->', color='black', lw=2))\n", + "ax.text(cutoff + 0.8, (y_l_gpa + y_r_gpa)/2,\n", + " f'ITT_Y= {y_r_gpa - y_l_gpa:.3f}', fontsize=11, fontweight='bold', va='center')\n", + "ax.axvline(cutoff, color='gray', ls=':', lw=1.5)\n", + "ax.set_title('Reduced Form: Effect of Eligibility on GPA', fontsize=13, fontweight='bold')\n", + "ax.set_xlabel('Exam Score', fontsize=12); ax.set_ylabel('GPA', fontsize=12)\n", + "ax.legend(fontsize=10)\n", + "\n", + "# ── Right: Treatment probability (First stage) ──\n", + "ax2 = axes[1]\n", + "ax2.scatter(left_['score'], left_['treated'] + np.random.normal(0, 0.012, len(left_)), color='tomato', alpha=0.3, s=12)\n", + "ax2.scatter(right_['score'], right_['treated'] + np.random.normal(0, 0.012, len(right_)), color='steelblue', alpha=0.3, s=12)\n", + "\n", + "m_d_l = smf.ols('treated ~ score_c', data=left_).fit()\n", + "m_d_r = smf.ols('treated ~ score_c', data=right_).fit()\n", + "ax2.plot(xs_l, m_d_l.predict(pd.DataFrame({'score_c': xs_l - cutoff})), color='tomato', lw=2.5)\n", + "ax2.plot(xs_r, m_d_r.predict(pd.DataFrame({'score_c': xs_r - cutoff})), color='steelblue', lw=2.5)\n", + "y_l_d = m_d_l.params['Intercept']\n", + "y_r_d = m_d_r.params['Intercept']\n", + "ax2.scatter([cutoff], [y_l_d], s=90, color='tomato', zorder=6, facecolors='none', edgecolors='tomato', linewidths=2)\n", + "ax2.scatter([cutoff], [y_r_d], s=90, color='steelblue', zorder=6)\n", + "ax2.annotate('', xy=(cutoff, y_r_d), xytext=(cutoff, y_l_d),\n", + " arrowprops=dict(arrowstyle='<->', color='black', lw=2))\n", + "ax2.text(cutoff + 0.8, (y_l_d + y_r_d)/2,\n", + " f'ITT_D= {y_r_d - y_l_d:.3f}', fontsize=11, fontweight='bold', va='center')\n", + "ax2.axvline(cutoff, color='gray', ls=':', lw=1.5)\n", + "ax2.set_title('First Stage: Effect of Eligibility on Treatment Probability', fontsize=13, fontweight='bold')\n", + "ax2.set_xlabel('Exam Score', fontsize=12); ax2.set_ylabel('Treatment probability by bin', fontsize=12)\n", + "\n", + "plt.suptitle('Fuzzy RDD Simulation: Reduced Form & First Stage', fontsize=14, fontweight='bold')\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 38, + "id": "fe700004", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=============================================\n", + " ITT_Y (Reduced form jump) : 0.2522\n", + " ITT_D (First stage jump) : 0.4267\n", + "---------------------------------------------\n", + " Wald LATE = ITT_Y / ITT_D : 0.5911\n", + " True LATE : 0.5\n", + "=============================================\n" + ] + } + ], + "source": [ + "# ── Compute LATE via Wald estimator ──\n", + "itt_y = y_r_gpa - y_l_gpa\n", + "itt_d = y_r_d - y_l_d\n", + "late_wald = itt_y / itt_d\n", + "\n", + "print(\"=\" * 45)\n", + "print(f\" ITT_Y (Reduced form jump) : {itt_y:.4f}\")\n", + "print(f\" ITT_D (First stage jump) : {itt_d:.4f}\")\n", + "print(\"-\" * 45)\n", + "print(f\" Wald LATE = ITT_Y / ITT_D : {late_wald:.4f}\")\n", + "print(f\" True LATE : {true_late}\")\n", + "print(\"=\" * 45)" + ] + }, + { + "cell_type": "code", + "execution_count": 39, + "id": "fe700005", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==================================================\n", + " [1st Stage (First Stage)]\n", + " α₁ (Treatment probability jump) : 0.4267\n", + " F-statistic (≥10 = strong IV): 67.1\n", + "\n", + " [2nd Stage (Second Stage)]\n", + " β₁ (LATE estimate) : 0.5912\n", + " True LATE : 0.5\n", + "==================================================\n", + "\n", + " * Standard errors require an IV package (e.g., linearmodels) for accuracy.\n" + ] + } + ], + "source": [ + "# ── Manual 2SLS ──\n", + "# 1st stage: D ~ Z + score_c + Z*score_c\n", + "fs = smf.ols('treated ~ elig + score_c + elig:score_c', data=df).fit()\n", + "df['D_hat'] = fs.fittedvalues\n", + "\n", + "# F-statistic (t² for elig coefficient ≈ F)\n", + "f_stat = (fs.params['elig'] / fs.bse['elig']) ** 2\n", + "\n", + "# 2nd stage: Y ~ D_hat + score_c + D_hat*score_c\n", + "ss = smf.ols('gpa ~ D_hat + score_c + D_hat:score_c', data=df).fit()\n", + "\n", + "print(\"=\" * 50)\n", + "print(\" [1st Stage (First Stage)]\")\n", + "print(f\" \\u03b1\\u2081 (Treatment probability jump) : {fs.params['elig']:.4f}\")\n", + "print(f\" F-statistic (\\u226510 = strong IV): {f_stat:.1f}\")\n", + "print()\n", + "print(\" [2nd Stage (Second Stage)]\")\n", + "print(f\" \\u03b2\\u2081 (LATE estimate) : {ss.params['D_hat']:.4f}\")\n", + "print(f\" True LATE : {true_late}\")\n", + "print(\"=\" * 50)\n", + "print()\n", + "print(\" * Standard errors require an IV package (e.g., linearmodels) for accuracy.\")" + ] + }, + { + "cell_type": "markdown", + "id": "fe800001", + "metadata": {}, + "source": [ + "## References\n", + "\n", + "- [인과추론의 데이터과학 (Youtube)](https://www.youtube.com/watch?v=8SIoMJTmO3A)\n", + "- Imbens, G. W., & Lemieux, T. (2008). Regression discontinuity designs: A guide to practice. *Journal of Econometrics*, 142(2), 615–635.\n", + "- Hahn, J., Todd, P., & Van der Klaauw, W. (2001). Identification and estimation of treatment effects with a regression-discontinuity design. *Econometrica*, 69(1), 201–209.\n", + "- Card, D., Dobkin, C., & Maestas, N. (2008). The impact of nearly universal insurance coverage on health care utilization: Evidence from Medicare. *American Economic Review*, 98(5), 2242–2258.\n", + "- Cattaneo, M. D., Idrobo, N., & Titiunik, R. (2019). *A Practical Introduction to Regression Discontinuity Designs*. Cambridge University Press." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "base", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.5" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} diff --git a/book/rdd/02_fuzzy_rdd_ko.ipynb b/book/rdd/02_fuzzy_rdd_ko.ipynb new file mode 100644 index 0000000..6d0c723 --- /dev/null +++ b/book/rdd/02_fuzzy_rdd_ko.ipynb @@ -0,0 +1,1083 @@ +{ + "cells": [ + { + "attachments": {}, + "cell_type": "markdown", + "id": "fz000001", + "metadata": {}, + "source": [ + "**🌐 Language:** [English →](/fuzzy-rdd-en) | **한국어**\n", + "\n", + "# Fuzzy RDD\n", + "\n", + "작성자 손지우 · GitHub · LinkedIn" + ] + }, + { + "cell_type": "code", + "execution_count": 56, + "id": "fz000002", + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import pandas as pd\n", + "import matplotlib.pyplot as plt\n", + "import statsmodels.formula.api as smf\n", + "import warnings\n", + "\n", + "plt.rcParams['font.family'] = 'AppleGothic'\n", + "plt.rcParams['axes.unicode_minus'] = False\n", + "\n", + "np.random.seed(2026)\n", + "warnings.filterwarnings('ignore')" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "fz100001", + "metadata": {}, + "source": [ + "## Recap. Sharp vs Fuzzy RDD\n", + "\n", + "앞 챕터에서 Sharp RDD를 배웠습니다. Sharp RDD에서 임계점 $c$는 처치를 **완전히** 결정합니다.\n", + "\n", + "$$D_i^{\\text{Sharp}} = \\mathbf{1}[X_i \\geq c]$$\n", + "\n", + "수능 70점 기준으로 70점 이상이면 반드시 장학금을 받고, 미만이면 절대 못 받는 구조입니다.\n", + "\n", + "하지만 현실에서는 이런 \"완벽한 규칙\"이 드뭅니다. 70점을 넘어도 신청을 하지 않거나, 서류 미비로 탈락하거나, 반대로 69점이어도 재심사를 통해 받는 경우가 생깁니다. 이처럼 임계점이 처치 확률에 **불연속적인 영향**을 주지만 완전히 결정하지는 않는 경우를 **Fuzzy RDD**라고 합니다.\n", + "\n", + "$$\\lim_{x \\rightarrow c+} \\Pr(D_i = 1 \\mid X_i = x) \\;\\neq\\; \\lim_{x \\rightarrow c-} \\Pr(D_i = 1 \\mid X_i = x)$$\n", + "\n", + "| 구분 | 처치 결정 방식 | 임계점에서 변화 | 추정 방법 |\n", + "|------|-------------|--------------|---------|\n", + "| **Sharp RDD** | $D_i = \\mathbf{1}[X_i \\geq c]$ | 처치 확률 0 → 1 | OLS (불연속 회귀) |\n", + "| **Fuzzy RDD** | $\\Pr(D_i=1)$이 $c$에서 불연속 | 처치 확률 일부 점프 (예: 15% → 65%) | 2SLS (IV) |" + ] + }, + { + "cell_type": "code", + "execution_count": 57, + "id": "74a9226c", + "metadata": {}, + "outputs": [], + "source": [ + "def plot_rdd_type():\n", + " c = 0\n", + " R = np.linspace(-3, 3, 300)\n", + " \n", + " D_sharp = np.where(R >= c, 1.0, 0.0)\n", + " \n", + " D_fuzzy = np.where(R >= c,\n", + " 0.65 + 0.1 * np.tanh(R * 2),\n", + " 0.15 + 0.1 * np.tanh(R * 2))\n", + " \n", + " fig, axes = plt.subplots(1, 2, figsize=(12, 5))\n", + " \n", + " # ── Sharp RDD ──\n", + " ax = axes[0]\n", + " ax.plot(R[R < c], D_sharp[R < c], 'tomato', linewidth=3, label=r'$P(D=1|R)$: $R < c$')\n", + " ax.plot(R[R >= c], D_sharp[R >= c], 'steelblue', linewidth=3, label=r'$P(D=1|R)$: $R \\geq c$')\n", + " ax.axvline(c, color='gray', linestyle=':', linewidth=1.5)\n", + " ax.scatter([c], [0], s=80, color='tomato', zorder=5, edgecolors='tomato', facecolors='none', linewidths=2)\n", + " ax.scatter([c], [1], s=80, zorder=5)\n", + " ax.annotate('', xy=(c, 1.0), xytext=(c, 0.0),\n", + " arrowprops=dict(arrowstyle='<->', color='black', lw=2))\n", + " ax.text(c + 0.1, 0.5, '0 → 1\\n(perfect jump)', fontsize=11, va='center', fontweight='bold')\n", + " ax.text(c + 0.05, -0.07, '$c$', fontsize=12, color='gray')\n", + " ax.set_ylim(-0.15, 1.25)\n", + " ax.set_title('Sharp RDD', fontsize=13, fontweight='bold')\n", + " ax.set_xlabel('Running Variable $R$', fontsize=11)\n", + " ax.set_ylabel(r'$P(D=1 \\mid R)$', fontsize=11)\n", + " ax.legend(fontsize=9)\n", + " ax.grid(alpha=0.3)\n", + " \n", + " # ── Fuzzy RDD ──\n", + " ax = axes[1]\n", + " ax.plot(R[R < c], D_fuzzy[R < c], 'tomato', linewidth=3, label=r'$P(D=1|R)$: $R < c$')\n", + " ax.plot(R[R >= c], D_fuzzy[R >= c], 'steelblue', linewidth=3, label=r'$P(D=1|R)$: $R \\geq c$')\n", + " ax.axvline(c, color='gray', linestyle=':', linewidth=1.5)\n", + " \n", + " d_l = np.interp(c - 0.009, R, D_fuzzy)\n", + " d_r = np.interp(c + 0.009, R, D_fuzzy)\n", + " ax.scatter([c], [d_l], s=80, color='tomato', zorder=5, facecolors='none', edgecolors='tomato', linewidths=2)\n", + " ax.scatter([c], [d_r], s=80, zorder=5)\n", + " ax.annotate('', xy=(c, d_r), xytext=(c, d_l),\n", + " arrowprops=dict(arrowstyle='<->', color='black', lw=2))\n", + " ax.text(c + 0.1, (d_l + d_r) / 2,\n", + " f'{d_l:.2f} → {d_r:.2f}\\n(partial jump)', fontsize=11, va='center', fontweight='bold')\n", + " ax.text(c + 0.05, -0.07, '$c$', fontsize=12, color='gray')\n", + " ax.set_ylim(-0.15, 1.25)\n", + " ax.set_title('Fuzzy RDD', fontsize=13, fontweight='bold')\n", + " ax.set_xlabel('Running Variable $R$', fontsize=11)\n", + " ax.set_ylabel(r'$P(D=1 \\mid R)$', fontsize=11)\n", + " ax.legend(fontsize=9)\n", + " ax.grid(alpha=0.3)\n", + " \n", + " fig.suptitle(r'Sharp vs Fuzzy RDD — $P(D=1 \\mid R)$', fontsize=14, fontweight='bold')\n", + " plt.tight_layout()\n", + " plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 58, + "id": "cd4eff27", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "plot_rdd_type()" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "fz200001", + "metadata": {}, + "source": [ + "## 1. Fuzzy RDD란?\n", + "\n", + "한 줄로 요약하자면, Fuzzy RDD는 컷오프가 treatment를 \"강제\"하지 않을 때의 RDD입니다.\n", + "\n", + "예를 들자면, 수능 70점을 기준으로 장학금 **신청 자격**이 생긴다고 합시다. Sharp RDD라면 자격이 생기는 순간 모두가 장학금을 받을 것입니다. 하지만 현실은 이렇습니다.\n", + "\n", + "- 71점을 받아 자격은 생겼지만 신청 기간을 놓친 학생\n", + "- 72점이어도 제출 서류가 미비해서 탈락한 학생\n", + "- 75점이어도 부유한 가정이라 신청하지 않은 학생\n", + "\n", + "반대로 68점이어도 재심사나 특별 전형으로 받게 되는 경우도 있습니다.\n", + "\n", + "임계점은 **자격(eligibility)**을 결정하지만, 실제 처치는 그 자격에 반드시 따르지 않습니다. 이것이 Fuzzy RDD의 세계입니다.\n", + "\n", + "이 상황에서 핵심 변수를 구분해야 합니다.\n", + "\n", + "- $X_i$: 수능 점수 (Running variable)\n", + "- $Z_i = \\mathbf{1}[X_i \\geq 70]$: 장학금 **자격 여부** (도구변수)\n", + "- $D_i$: 실제 장학금 **수혜 여부** (처치변수)\n", + "- $Y_i$: GPA (결과변수)\n", + "\n", + "Sharp RDD에서는 $Z_i = D_i$였습니다. Fuzzy RDD에서는 $Z_i \\neq D_i$입니다. $Z_i$가 $D_i$에 영향을 주지만, 완전히 결정하지는 않습니다." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "fz300001", + "metadata": {}, + "source": [ + "## 2. 추정 대상\n", + "\n", + "Fuzzy RDD가 추정하는 대상은 **순응자(Compliers)**에 한정된 LATE입니다.\n", + "\n", + "도구변수 $Z_i$의 값(자격 여부)에 따라 개체를 네 유형으로 분류할 수 있습니다." + ] + }, + { + "cell_type": "code", + "execution_count": 59, + "id": "fz300002", + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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유형Z=0일 때 DZ=1일 때 D설명
0순응자 (Complier)01자격이 생겼을 때만 처치를 받는다 ← 추정 대상
1항상 수혜자 (Always-taker)11자격과 무관하게 항상 처치를 받는다
2절대 비수혜자 (Never-taker)00자격이 생겨도 처치를 받지 않는다
3위반자 (Defier)10자격이 생기면 오히려 처치를 거부한다 (단조성 가정으로 배제)
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" + ], + "text/plain": [ + " 유형 Z=0일 때 D Z=1일 때 D \\\n", + "0 순응자 (Complier) 0 1 \n", + "1 항상 수혜자 (Always-taker) 1 1 \n", + "2 절대 비수혜자 (Never-taker) 0 0 \n", + "3 위반자 (Defier) 1 0 \n", + "\n", + " 설명 \n", + "0 자격이 생겼을 때만 처치를 받는다 ← 추정 대상 \n", + "1 자격과 무관하게 항상 처치를 받는다 \n", + "2 자격이 생겨도 처치를 받지 않는다 \n", + "3 자격이 생기면 오히려 처치를 거부한다 (단조성 가정으로 배제) " + ] + }, + "execution_count": 59, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "pd.DataFrame({\n", + " '유형': ['순응자 (Complier)', '항상 수혜자 (Always-taker)', '절대 비수혜자 (Never-taker)', '위반자 (Defier)'],\n", + " 'Z=0일 때 D': [0, 1, 0, 1],\n", + " 'Z=1일 때 D': [1, 1, 0, 0],\n", + " '설명': [\n", + " '자격이 생겼을 때만 처치를 받는다 ← 추정 대상',\n", + " '자격과 무관하게 항상 처치를 받는다',\n", + " '자격이 생겨도 처치를 받지 않는다',\n", + " '자격이 생기면 오히려 처치를 거부한다 (단조성 가정으로 배제)',\n", + " ]\n", + "})" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "fz300003", + "metadata": {}, + "source": [ + "단조성(Monotonicity) 가정 하에서 위반자(Defier)는 없다고 가정합니다. 그러면 임계점 근방에서 추정되는 효과는:\n", + "\n", + "$$\\tau_{Fuzzy} = \\mathbb{E}[Y_i(1) - Y_i(0) \\mid \\text{Complier},\\; X_i = c]$$\n", + "\n", + "즉, 자격이 생겼기 때문에 처치를 받게 된 사람들(순응자)의, 임계점 근방에서의, 처치 효과입니다.\n", + "\n", + "**ATE(전체 평균 처치 효과)와의 차이**: Always-taker나 Never-taker는 포함되지 않습니다. 자격과 무관하게 항상 받거나 항상 안 받는 사람들의 효과는 추정하지 못합니다. 이것이 Fuzzy RDD의 근본적인 한계이자, 동시에 정직한 추정입니다." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "fz400001", + "metadata": {}, + "source": [ + "## 3. 핵심가정 (도구변수)\n", + "\n", + "Fuzzy RDD는 본질적으로 **도구변수(Instrumental Variable)** 추정 문제입니다.\n", + "\n", + "$Z_i = \\mathbf{1}[X_i \\geq c]$를 도구변수로 씁니다. 이 도구변수가 유효하려면 세 가지 조건을 만족해야 합니다.\n", + "\n", + "### 관련성 (Relevance)\n", + "\n", + "$Z_i$는 $D_i$에 실질적으로 영향을 주어야 합니다. 자격이 생기면 처치 확률이 올라가야 합니다.\n", + "\n", + "$$\\text{Cov}(Z_i,\\, D_i) \\neq 0$$\n", + "\n", + "1단계 회귀의 F-통계량으로 확인합니다. 통상 $F > 10$이면 강한 도구변수로 판단합니다.\n", + "\n", + "### 배제 제약 (Exclusion Restriction)\n", + "\n", + "$Z_i$는 $D_i$를 통해서만 $Y_i$에 영향을 주어야 합니다. 즉, 70점 기준을 넘는다는 사실 자체가 GPA를 직접 바꾸지는 않아야 합니다. 장학금을 받았기 때문에 GPA가 오르는 것이지, 자격이 생겼다는 것만으로 오르면 안 됩니다." + ] + }, + { + "cell_type": "code", + "execution_count": 60, + "id": "cf069e53", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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+ "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1, 2, figsize=(12, 4.5))\n", + "\n", + "pos = {'Z': (0.12, 0.50), 'D': (0.50, 0.50), 'Y': (0.88, 0.50), 'U': (0.50, 0.85)}\n", + "node_colors = {'Z': '#AED6F1', 'D': '#A9DFBF', 'Y': '#F9E79F', 'U': '#D7DBDD'}\n", + "node_labels = {'Z': 'Z\\n(자격)', 'D': 'D\\n(처치)', 'Y': 'Y\\n(결과)', 'U': 'U\\n(교란)'}\n", + "R = 0.09\n", + "\n", + "def draw_nodes(ax):\n", + " for name, (x, y) in pos.items():\n", + " circle = plt.Circle((x, y), R, color=node_colors[name], ec='#555', lw=1.8, zorder=3)\n", + " ax.add_patch(circle)\n", + " ax.text(x, y, node_labels[name], ha='center', va='center', fontsize=11,\n", + " fontweight='bold', zorder=4, linespacing=1.3)\n", + "\n", + "def arrow(ax, a, b, color='#333', lw=1.8, rad=0.0, ls='-'):\n", + " x1, y1 = pos[a]; x2, y2 = pos[b]\n", + " dx, dy = x2 - x1, y2 - y1\n", + " dist = (dx**2 + dy**2) ** 0.5\n", + " sx = x1 + R * dx / dist; sy = y1 + R * dy / dist\n", + " ex = x2 - R * dx / dist; ey = y2 - R * dy / dist\n", + " style = f'arc3,rad={rad}' if rad != 0 else 'arc3,rad=0'\n", + " ax.annotate('', xy=(ex, ey), xytext=(sx, sy),\n", + " arrowprops=dict(arrowstyle='->', color=color, lw=lw,\n", + " connectionstyle=style,\n", + " linestyle=ls))\n", + "\n", + "# ── 왼쪽: 배제 제약 위반 ──\n", + "ax = axes[0]\n", + "ax.set_xlim(0, 1); ax.set_ylim(0.1, 1.05); ax.axis('off')\n", + "ax.set_title('배제 제약 위반\\n(Z가 Y에 직접 영향)', fontsize=13, fontweight='bold', color='#C0392B')\n", + "draw_nodes(ax)\n", + "arrow(ax, 'Z', 'D')\n", + "arrow(ax, 'D', 'Y')\n", + "arrow(ax, 'U', 'D', color='#888', lw=1.4)\n", + "arrow(ax, 'U', 'Y', color='#888', lw=1.4)\n", + "arrow(ax, 'Z', 'Y', color='#E74C3C', lw=2.2, rad=-0.38) # 직접 경로 (위반)\n", + "# ✗ 표시\n", + "mx = (pos['Z'][0] + pos['Y'][0]) / 2\n", + "my = min(pos['Z'][1], pos['Y'][1]) - 0.20\n", + "ax.text(mx, my, '✗ 직접 경로 존재', color='#E74C3C', fontsize=11,\n", + " ha='center', fontweight='bold')\n", + "ax.text(mx, my - 0.10, 'Z → Y → IV 무효', color='#E74C3C', fontsize=10, ha='center')\n", + "\n", + "# ── 오른쪽: 배제 제약 성립 ──\n", + "ax2 = axes[1]\n", + "ax2.set_xlim(0, 1); ax2.set_ylim(0.1, 1.05); ax2.axis('off')\n", + "ax2.set_title('배제 제약 성립\\n(Z는 D를 통해서만 Y에 영향)', fontsize=13, fontweight='bold', color='#1A5276')\n", + "draw_nodes(ax2)\n", + "arrow(ax2, 'Z', 'D')\n", + "arrow(ax2, 'D', 'Y')\n", + "arrow(ax2, 'U', 'D', color='#888', lw=1.4)\n", + "arrow(ax2, 'U', 'Y', color='#888', lw=1.4)\n", + "mx2 = (pos['Z'][0] + pos['Y'][0]) / 2\n", + "my2 = min(pos['Z'][1], pos['Y'][1]) - 0.20\n", + "ax2.text(mx2, my2, '✓ 유일한 경로: Z → D → Y', color='#1A5276',\n", + " fontsize=11, ha='center', fontweight='bold')\n", + "ax2.text(mx2, my2 - 0.10, 'Z의 효과는 반드시 D를 거친다', color='#1A5276',\n", + " fontsize=10, ha='center')\n", + "\n", + "plt.suptitle('배제 제약 (Exclusion Restriction)', fontsize=14, fontweight='bold', y=1.01)\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "512647e5", + "metadata": {}, + "source": [ + "\n", + "### 단조성 (Monotonicity)\n", + "\n", + "위반자(Defier)가 없어야 합니다. 자격이 생겼을 때 처치를 오히려 거부하는 사람이 없어야 합니다.\n", + "\n", + "$$D_i(Z=1) \\geq D_i(Z=0) \\quad \\forall i$$\n", + "\n", + "이 세 가지 가정이 성립하면, Fuzzy LATE는 다음의 **Wald 추정량**으로 깔끔하게 표현됩니다.\n", + "\n", + "$$\\hat{\\tau}_{Fuzzy} = \\frac{\\text{ITT}_Y}{\\text{ITT}_D} = \\frac{\\text{Y의 점프 크기}}{\\text{D의 점프 크기}}$$\n", + "\n", + "$\\text{ITT}_Y$는 자격 여부가 결과에 미치는 효과(Reduced form), $\\text{ITT}_D$는 자격 여부가 실제 처치에 미치는 효과(First stage)입니다. 직관적으로, \"Y가 얼마나 뛰었는가\"를 \"D가 얼마나 뛰었는가\"로 나누면, 실제 처치를 받은 순응자들의 단위당 효과를 얻습니다." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "fz500001", + "metadata": {}, + "source": [ + "## 4. 수식으로 이해하는 Fuzzy RDD\n", + "\n", + "Fuzzy RDD의 최종 목표는 **Wald 추정량**으로 LATE를 구하는 것입니다.\n", + "\n", + "$$\\hat{\\tau}_{Fuzzy} = \\frac{\\widehat{\\text{ITT}}_Y}{\\widehat{\\text{ITT}}_D} = \\frac{\\text{Y의 점프 크기}}{\\text{D의 점프 크기}}$$\n", + "\n", + "이를 위해 **세 가지 회귀**를 구분해야 합니다.\n", + "\n", + "| 이름 | 경로 | 추정 대상 | 역할 |\n", + "|------|------|-----------|------|\n", + "| **Reduced Form** | $Z_i \\rightarrow Y_i$ | $\\widehat{\\text{ITT}}_Y$ | Wald 분자 / 사전 점검 |\n", + "| **2SLS 1단계 (First Stage)** | $Z_i \\rightarrow D_i$ | $\\widehat{\\text{ITT}}_D$ | Wald 분모 / 도구변수 강도 확인 |\n", + "| **2SLS 2단계 (Second Stage)** | $\\hat{D}_i \\rightarrow Y_i$ | $\\hat{\\beta}_1 = \\text{LATE}$ | 최종 추정 (= Wald와 동치) |\n", + "\n", + "---\n", + "\n", + "### Reduced Form: $Z_i \\rightarrow Y_i$\n", + "\n", + "$$Y_i = \\gamma_0 + \\gamma_1 Z_i + \\gamma_2(X_i - c) + \\gamma_3 Z_i(X_i - c) + \\varepsilon_i$$\n", + "\n", + "- **목적**\n", + " - **사전점검으로서의 역할**: 2SLS를 돌리기 전에 \"도구변수 $Z_i$가 결과 $Y_i$에 실제로 닿는가\"를 먼저 확인합니다. $\\hat{\\gamma}_1 \\approx 0$이라면 2SLS를 실행해도 LATE 추정치는 0에 가까울 것이므로, 분석 설계 자체를 재검토해야 한다는 신호입니다.\n", + " - **Wald 분자로서의 역할**: 동시에 $\\hat{\\gamma}_1$은 Wald 추정량의 분자($\\widehat{\\text{ITT}}_Y$)로 직접 쓰입니다. 즉 Reduced Form은 사전점검인 동시에 최종 추정의 재료입니다.\n", + "- **핵심 계수**: $\\hat{\\gamma}_1 = \\widehat{\\text{ITT}}_Y$ (임계점에서 Y 점프)\n", + "\n", + "---\n", + "\n", + "### 2SLS (Two-Stage Least Squares)\n", + "\n", + "$D_i$(실제 처치)는 **내생변수**입니다. 장학금을 받은 사람과 받지 않은 사람은 처음부터 다를 수 있어(능력, 동기 등), $Y_i$를 $D_i$에 직접 회귀하면 편향이 생깁니다.\n", + "\n", + "2SLS는 $D_i$ 중에서 **도구변수 $Z_i$에 의해 외생적으로 발생한 부분만** 뽑아내어, 그 부분으로 $Y_i$를 설명합니다.\n", + "\n", + "#### 1단계 (First Stage): $Z_i \\rightarrow D_i$\n", + "\n", + "$$D_i = \\alpha_0 + \\alpha_1 Z_i + \\alpha_2(X_i - c) + \\alpha_3 Z_i(X_i - c) + \\varepsilon_i^{(1)}$$\n", + "\n", + "- **목적**: 자격($Z_i$)이 실제 처치($D_i$)를 얼마나 바꾸는지 확인합니다.\n", + "- **핵심 계수**: $\\hat{\\alpha}_1 = \\widehat{\\text{ITT}}_D$ (임계점에서 처치 확률 점프)\n", + "- **진단**: F-통계량 $\\geq 10$이면 강한 도구변수. 미만이면 weak instrument 문제.\n", + "- **출력물**: 예측치 $\\hat{D}_i$ — 도구변수로 설명되는 처치의 외생적인 부분\n", + "\n", + "#### 2단계 (Second Stage): $\\hat{D}_i \\rightarrow Y_i$\n", + "\n", + "$$Y_i = \\beta_0 + \\beta_1 \\hat{D}_i + \\beta_2(X_i - c) + \\beta_3 \\hat{D}_i(X_i - c) + \\varepsilon_i^{(2)}$$\n", + "\n", + "- **목적**: 1단계 예측치 $\\hat{D}_i$를 처치변수 자리에 넣어, 내생성이 제거된 처치 효과를 추정합니다.\n", + "- **핵심 계수**: $\\hat{\\beta}_1$ = **LATE 추정량**\n", + "\n", + "---\n", + "\n", + "### 최종 계산: Wald 추정량\n", + "\n", + "2SLS 2단계의 $\\hat{\\beta}_1$은 Wald 추정량과 정확히 일치합니다.\n", + "\n", + "$$\\hat{\\beta}_1 = \\frac{\\hat{\\gamma}_1}{\\hat{\\alpha}_1} = \\frac{\\widehat{\\text{ITT}}_Y}{\\widehat{\\text{ITT}}_D}$$\n", + "\n", + "예를 들어, 자격이 생겼을 때 GPA가 0.3점 오르고($\\text{ITT}_Y$), 처치 확률이 50%p 오른다면($\\text{ITT}_D$), 순응자 1명당 효과는 $0.3 \\div 0.5 = 0.6$점입니다.\n", + "\n", + "> **주의**: 2단계를 수동으로 구현하면 점 추정치($\\hat{\\beta}_1$)는 맞지만 **표준오차가 과소 추정**됩니다. 실제 분석에서는 `linearmodels` 같은 IV 추정 패키지를 사용해야 합니다." + ] + }, + { + "cell_type": "markdown", + "id": "3501b616", + "metadata": {}, + "source": [ + "## 5. 시각화\n", + "\n", + "Fuzzy RDD 추정의 세 단계를 한 화면에서 확인합니다. 그래프를 보기 전에 각 패널이 무엇을 담고 있는지 파악해두세요.\n", + "\n", + "- **왼쪽 — Reduced Form (Z → Y)**: 수능 점수(X)와 GPA(Y)의 산점도입니다. 기준점 좌우에 각각 회귀선을 적합하고, 임계점에서 GPA가 얼마나 뛰는지($\\widehat{\\text{ITT}}_Y$)를 보여줍니다. 2SLS를 실행하기 전, 도구변수가 결과에 실제로 닿는지 확인하는 사전점검 역할을 합니다.\n", + "- **가운데 — 2SLS 1단계 (Z → D)**: 수능 점수(X)와 실제 처치 여부(D)의 산점도입니다. 임계점에서 처치 확률이 얼마나 뛰는지($\\widehat{\\text{ITT}}_D$)를 보여줍니다. 도구변수의 강도를 시각적으로 확인합니다.\n", + "- **오른쪽 — 2SLS 2단계 결과**: 2SLS로 추정한 LATE와 95% 신뢰구간입니다. 다이아몬드(◆)가 점 추정값, 가로 선이 신뢰구간, 초록 점선이 시뮬레이션에서 설정한 True LATE입니다." + ] + }, + { + "cell_type": "code", + "execution_count": 61, + "id": "fz500002", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "n = 1000\n", + "cutoff = 70\n", + "true_late = 0.6\n", + "\n", + "score = np.random.uniform(40, 100, n)\n", + "elig = (score >= cutoff).astype(int)\n", + "treated = np.where(elig == 1,\n", + " np.random.binomial(1, 0.65, n),\n", + " np.random.binomial(1, 0.15, n))\n", + "gpa = (2.0 + 0.012*(score - cutoff)\n", + " + true_late * treated\n", + " + np.random.normal(0, 0.3, n))\n", + "\n", + "df_viz = pd.DataFrame({'score': score, 'elig': elig,\n", + " 'treated': treated, 'gpa': gpa,\n", + " 'score_c': score - cutoff})\n", + "\n", + "# First stage → D_hat\n", + "fs_viz = smf.ols('treated ~ elig + score_c + elig:score_c', data=df_viz).fit()\n", + "df_viz['D_hat'] = fs_viz.fittedvalues\n", + "\n", + "# Second stage → LATE\n", + "ss_viz = smf.ols('gpa ~ D_hat + score_c + D_hat:score_c', data=df_viz).fit()\n", + "LATE = ss_viz.params['D_hat']\n", + "LATE_se = ss_viz.bse['D_hat']\n", + "LATE_ci = ss_viz.conf_int().loc['D_hat'].values # [lower, upper]\n", + "\n", + "fig, axes = plt.subplots(1, 3, figsize=(18, 5))\n", + "left = df_viz[df_viz['elig'] == 0]\n", + "right = df_viz[df_viz['elig'] == 1]\n", + "xs_l = np.linspace(40, cutoff, 100)\n", + "xs_r = np.linspace(cutoff, 100, 100)\n", + "\n", + "ACCENT = 'steelblue'\n", + "GREEN = '#27ae60'\n", + "GRAY = '#555555'\n", + "\n", + "# ── 왼쪽: Reduced Form (Z → Y) ──\n", + "ax = axes[0]\n", + "ax.scatter(left['score'], left['gpa'], color='tomato', alpha=0.2, s=10, label='Z=0 (자격 없음)')\n", + "ax.scatter(right['score'], right['gpa'], color='steelblue', alpha=0.2, s=10, label='Z=1 (자격 있음)')\n", + "m_y_l = smf.ols('gpa ~ score_c', data=left).fit()\n", + "m_y_r = smf.ols('gpa ~ score_c', data=right).fit()\n", + "ax.plot(xs_l, m_y_l.predict(pd.DataFrame({'score_c': xs_l - cutoff})), color='tomato', lw=2.5)\n", + "ax.plot(xs_r, m_y_r.predict(pd.DataFrame({'score_c': xs_r - cutoff})), color='steelblue', lw=2.5)\n", + "y_l_gpa = m_y_l.params['Intercept']\n", + "y_r_gpa = m_y_r.params['Intercept']\n", + "ax.scatter([cutoff], [y_l_gpa], s=90, color='tomato', zorder=6, facecolors='none', edgecolors='tomato', linewidths=2)\n", + "ax.scatter([cutoff], [y_r_gpa], s=90, color='steelblue', zorder=6)\n", + "ax.annotate('', xy=(cutoff, y_r_gpa), xytext=(cutoff, y_l_gpa),\n", + " arrowprops=dict(arrowstyle='<->', color='black', lw=2))\n", + "ax.text(cutoff + 1, (y_l_gpa + y_r_gpa) / 2,\n", + " f'ITT_Y\\n= {y_r_gpa - y_l_gpa:.3f}', fontsize=10, fontweight='bold', va='center')\n", + "ax.axvline(cutoff, color='gray', ls=':', lw=1.5)\n", + "ax.set_title('Reduced Form\\n(Z → Y)', fontsize=13, fontweight='bold')\n", + "ax.set_xlabel('수능 점수 (X)', fontsize=11)\n", + "ax.set_ylabel('GPA (Y)', fontsize=11)\n", + "ax.legend(fontsize=9)\n", + "\n", + "# ── 가운데: 2SLS 1단계 (Z → D) ──\n", + "ax2 = axes[1]\n", + "ax2.scatter(left['score'], left['treated'] + np.random.normal(0, 0.012, len(left)),\n", + " color='tomato', alpha=0.2, s=10)\n", + "ax2.scatter(right['score'], right['treated'] + np.random.normal(0, 0.012, len(right)),\n", + " color='steelblue', alpha=0.2, s=10)\n", + "m_d_l = smf.ols('treated ~ score_c', data=left).fit()\n", + "m_d_r = smf.ols('treated ~ score_c', data=right).fit()\n", + "ax2.plot(xs_l, m_d_l.predict(pd.DataFrame({'score_c': xs_l - cutoff})), color='tomato', lw=2.5)\n", + "ax2.plot(xs_r, m_d_r.predict(pd.DataFrame({'score_c': xs_r - cutoff})), color='steelblue', lw=2.5)\n", + "y_l_d = m_d_l.params['Intercept']\n", + "y_r_d = m_d_r.params['Intercept']\n", + "ax2.scatter([cutoff], [y_l_d], s=90, color='tomato', zorder=6, facecolors='none', edgecolors='tomato', linewidths=2)\n", + "ax2.scatter([cutoff], [y_r_d], s=90, color='steelblue', zorder=6)\n", + "ax2.annotate('', xy=(cutoff, y_r_d), xytext=(cutoff, y_l_d),\n", + " arrowprops=dict(arrowstyle='<->', color='black', lw=2))\n", + "ax2.text(cutoff + 1, (y_l_d + y_r_d) / 2,\n", + " f'ITT_D\\n= {y_r_d - y_l_d:.3f}', fontsize=10, fontweight='bold', va='center')\n", + "ax2.axvline(cutoff, color='gray', ls=':', lw=1.5)\n", + "ax2.set_title('2SLS 1단계 (First Stage)\\n(Z → D)', fontsize=13, fontweight='bold')\n", + "ax2.set_xlabel('수능 점수 (X)', fontsize=11)\n", + "ax2.set_ylabel('처치 여부 (D)', fontsize=11)\n", + "\n", + "# ── 오른쪽: Forest Plot (LATE + 95% CI) ──\n", + "ax3 = axes[2]\n", + "y_pos = 0\n", + "ax3.barh(y_pos, LATE_ci[1] - LATE_ci[0], left=LATE_ci[0],\n", + " height=0.25, color=ACCENT, alpha=0.25, zorder=2) # CI 구간 음영\n", + "ax3.hlines(y_pos, LATE_ci[0], LATE_ci[1],\n", + " colors=ACCENT, lw=2.5, zorder=3) # CI 수평선\n", + "ax3.vlines([LATE_ci[0], LATE_ci[1]], y_pos - 0.07, y_pos + 0.07,\n", + " colors=ACCENT, lw=2.5, zorder=3) # 끝 캡\n", + "ax3.scatter([LATE], [y_pos], color='white', s=120,\n", + " marker='D', zorder=5, edgecolors=ACCENT, linewidths=1.8) # 점 추정값 (다이아몬드)\n", + "ax3.axvline(true_late, color=GREEN, lw=1.5, ls=':',\n", + " label=f'True LATE = {true_late}', zorder=1) # True effect 수직선\n", + "ax3.axvline(0, color=GRAY, lw=1, ls='--', alpha=0.5, zorder=1) # 영(0) 기준선\n", + "ax3.text(LATE, y_pos + 0.18, f'{LATE:.3f}',\n", + " ha='center', color=ACCENT, fontsize=13, fontweight='bold')\n", + "ax3.text(LATE, y_pos - 0.22,\n", + " f'95% CI: [{LATE_ci[0]:.3f}, {LATE_ci[1]:.3f}]',\n", + " ha='center', color=GRAY, fontsize=9)\n", + "ax3.text(LATE, y_pos - 0.35, f'SE = {LATE_se:.3f}',\n", + " ha='center', color=GRAY, fontsize=9)\n", + "\n", + "ax3.set_xlim(min(LATE_ci[0] - 0.3, -0.1), max(LATE_ci[1] + 0.3, true_late + 0.2))\n", + "ax3.set_ylim(-0.6, 0.6)\n", + "ax3.set_yticks([0])\n", + "ax3.set_title('2SLS 2단계 결과\\n(LATE estimator)', fontsize=13, fontweight='bold')\n", + "ax3.set_xlabel('GPA에 대한 효과', fontsize=11)\n", + "ax3.set_ylabel('LATE (2SLS)', fontsize=10)\n", + "ax3.legend(fontsize=9, loc='upper left')\n", + "ax3.spines[['top', 'right', 'left']].set_visible(False)\n", + "\n", + "plt.suptitle(\n", + " f'Reduced Form (ITT_Y = {y_r_gpa - y_l_gpa:.3f}) → '\n", + " f'First Stage (ITT_D = {y_r_d - y_l_d:.3f}) → '\n", + " f'LATE = {LATE:.3f}',\n", + " fontsize=13, fontweight='bold'\n", + ")\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "markdown", + "id": "fb1728d5", + "metadata": {}, + "source": [ + "그래프를 보며 확인해야 할 포인트들입니다.\n", + "\n", + "**왼쪽과 가운데: 점프의 크기를 비교하세요.** Reduced Form의 Y 점프($\\widehat{\\text{ITT}}_Y$)는 가운데 First Stage의 D 점프($\\widehat{\\text{ITT}}_D$)보다 작아야 합니다. Fuzzy RDD에서는 자격이 생겨도 일부만 처치를 받기 때문입니다. 만약 Y 점프가 D 점프보다 크다면 설계나 데이터에 문제가 있다는 신호입니다.\n", + "\n", + "**오른쪽: 신뢰구간이 0을 포함하는지 확인하세요.** 신뢰구간이 0을 포함하면 \"처치 효과가 없다는 가설\"을 기각하지 못합니다. 또 True LATE(초록 점선)와 추정값(◆)이 얼마나 가까운지도 확인해보세요. 표본이 클수록 추정값이 True LATE에 가까워집니다.\n", + "\n", + "**Wald 추정량을 직접 계산해 검증해보세요.** 왼쪽 그래프의 $\\widehat{\\text{ITT}}_Y$를 가운데 그래프의 $\\widehat{\\text{ITT}}_D$로 나누면 Forest Plot의 LATE와 동일한 값이 나옵니다. 전체 타이틀에도 이 관계가 요약되어 있습니다." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "fz600001", + "metadata": {}, + "source": [ + "## 6. 활용 가능 예시\n", + "\n", + "### 예시 1: 장학금 신청 자격\n", + "\n", + "| 항목 | 내용 |\n", + "|------|------|\n", + "| **Running Variable** | 수능 점수 |\n", + "| **Cutoff** | 70점 |\n", + "| **Z (자격)** | 70점 이상 → 장학금 신청 자격 부여 |\n", + "| **D (처치)** | 실제 장학금 수혜 여부 |\n", + "| **Y (결과)** | GPA |\n", + "\n", + "70점을 넘으면 신청 자격이 생기지만, 신청하지 않거나 서류 미비로 탈락할 수 있습니다. 반대로 일부 특별 심사를 통해 기준 미달이어도 받는 경우가 있습니다. 따라서 D가 Z를 완전히 따르지 않아 Fuzzy 설계입니다.\n", + "\n", + "Wald 추정량 예시:\n", + "\n", + "| | 기준 미달 (Z=0) | 기준 초과 (Z=1) |\n", + "|---|---|---|\n", + "| 실제 수혜율 (ITT_D) | 10% | 65% |\n", + "| 평균 GPA (ITT_Y) | 2.0 | 2.3 |\n", + "\n", + "$$\\hat{\\tau}_{Fuzzy} = \\frac{2.3 - 2.0}{0.65 - 0.10} = \\frac{0.3}{0.55} \\approx 0.55$$\n", + "\n", + "→ 자격이 생겨서 장학금을 받게 된 학생들(순응자)의 GPA 향상 효과는 약 0.55점.\n", + "\n", + "---\n", + "\n", + "### 예시 2: 의료보험 자격 (Medicare at 65)\n", + "\n", + "| 항목 | 내용 |\n", + "|------|------|\n", + "| **Running Variable** | 나이 |\n", + "| **Cutoff** | 만 65세 |\n", + "| **Z (자격)** | 65세 이상 → Medicare 가입 자격 |\n", + "| **D (처치)** | 실제 Medicare 가입 여부 |\n", + "| **Y (결과)** | 의료 이용량, 사망률 등 |\n", + "\n", + "65세가 되면 Medicare 가입 자격이 생기지만 모두가 즉시 가입하지는 않습니다. 이미 직장 의료보험이 있거나, Medicaid를 쓰는 저소득층은 가입을 미루기도 합니다. Card et al.(2008)은 이 설계를 이용해 Medicare 가입이 의료 이용량과 사망률에 미치는 인과 효과를 추정했습니다.\n", + "\n", + "이처럼 Fuzzy RDD는 \"자격\"과 \"실제 수혜\"가 분리될 때 자연스럽게 등장합니다." + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "fz700001", + "metadata": {}, + "source": [ + "## 7. 코드 예시 (Python)\n", + "\n", + "직접 시뮬레이션을 돌려보겠습니다. 수능 70점 기준으로 장학금 신청 자격이 주어지되, **순응률(compliance rate)**이 50%인 상황을 설정합니다.\n", + "\n", + "- 자격 없는 집단의 수혜율: 10% (Always-taker)\n", + "- 자격 있는 집단의 수혜율: 60% (Always-taker + Complier)\n", + "- 순응자(Complier) 비율: 60% - 10% = 50%\n", + "- 장학금의 진짜 효과 (True LATE): GPA +0.5점" + ] + }, + { + "cell_type": "code", + "execution_count": 62, + "id": "fz700002", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "전체 샘플: 1000명\n", + "자격 없음(Z=0) - 처치율: 11.1%\n", + "자격 있음(Z=1) - 처치율: 56.9%\n", + "처치 확률 점프 (추정 순응률): 45.8%\n" + ] + }, + { + "data": { + "text/html": [ + "
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scoreeligtreatedgpascore_c
053.160738001.606919-16.839262
164.780704002.420633-5.219296
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" + ], + "text/plain": [ + " score elig treated gpa score_c\n", + "0 53.160738 0 0 1.606919 -16.839262\n", + "1 64.780704 0 0 2.420633 -5.219296\n", + "2 98.598129 1 0 2.733795 28.598129\n", + "3 45.333941 0 0 1.691864 -24.666059\n", + "4 68.757392 0 0 1.821720 -1.242608\n", + "5 99.253030 1 0 2.183469 29.253030\n", + "6 51.888465 0 0 1.491415 -18.111535\n", + "7 94.702911 1 0 2.066975 24.702911" + ] + }, + "execution_count": 62, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "np.random.seed(2026)\n", + "n = 1000\n", + "cutoff = 70\n", + "true_late = 0.5\n", + "p_below = 0.10 # always-taker 비율\n", + "p_above = 0.60 # always-taker + complier 비율\n", + "\n", + "score = np.random.uniform(40, 100, n)\n", + "elig = (score >= cutoff).astype(int) # Z_i\n", + "treated = np.where(elig == 1,\n", + " np.random.binomial(1, p_above, n),\n", + " np.random.binomial(1, p_below, n)) # D_i\n", + "gpa = (2.0\n", + " + 0.012 * (score - cutoff) # running variable 자연 효과\n", + " + true_late * treated # 처치 효과 (순응자에게만)\n", + " + np.random.normal(0, 0.3, n))\n", + "\n", + "df = pd.DataFrame({\n", + " 'score': score, 'elig': elig,\n", + " 'treated': treated, 'gpa': gpa,\n", + " 'score_c': score - cutoff,\n", + "})\n", + "\n", + "print(f\"전체 샘플: {n}명\")\n", + "print(f\"자격 없음(Z=0) - 처치율: {treated[elig==0].mean():.1%}\")\n", + "print(f\"자격 있음(Z=1) - 처치율: {treated[elig==1].mean():.1%}\")\n", + "print(f\"처치 확률 점프 (추정 순응률): {treated[elig==1].mean() - treated[elig==0].mean():.1%}\")\n", + "df.head(8)" + ] + }, + { + "cell_type": "code", + "execution_count": 63, + "id": "fz700003", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "fig, axes = plt.subplots(1, 2, figsize=(13, 5))\n", + "\n", + "# ── 왼쪽: GPA 산점도 (Reduced form) ──\n", + "ax = axes[0]\n", + "left_ = df[df['elig'] == 0]\n", + "right_ = df[df['elig'] == 1]\n", + "ax.scatter(left_['score'], left_['gpa'], color='tomato', alpha=0.3, s=12, label='자격 없음 (Z=0)')\n", + "ax.scatter(right_['score'], right_['gpa'], color='steelblue', alpha=0.3, s=12, label='자격 있음 (Z=1)')\n", + "\n", + "m_y_l = smf.ols('gpa ~ score_c', data=left_).fit()\n", + "m_y_r = smf.ols('gpa ~ score_c', data=right_).fit()\n", + "xs_l = np.linspace(40, cutoff, 100)\n", + "xs_r = np.linspace(cutoff, 100, 100)\n", + "ax.plot(xs_l, m_y_l.predict(pd.DataFrame({'score_c': xs_l - cutoff})), color='tomato', lw=2.5)\n", + "ax.plot(xs_r, m_y_r.predict(pd.DataFrame({'score_c': xs_r - cutoff})), color='steelblue', lw=2.5)\n", + "y_l_gpa = m_y_l.params['Intercept']\n", + "y_r_gpa = m_y_r.params['Intercept']\n", + "ax.scatter([cutoff], [y_l_gpa], s=90, color='tomato', zorder=6, facecolors='none', edgecolors='tomato', linewidths=2)\n", + "ax.scatter([cutoff], [y_r_gpa], s=90, color='steelblue', zorder=6)\n", + "ax.annotate('', xy=(cutoff, y_r_gpa), xytext=(cutoff, y_l_gpa),\n", + " arrowprops=dict(arrowstyle='<->', color='black', lw=2))\n", + "ax.text(cutoff + 0.8, (y_l_gpa + y_r_gpa)/2,\n", + " f'ITT_Y= {y_r_gpa - y_l_gpa:.3f}', fontsize=11, fontweight='bold', va='center')\n", + "ax.axvline(cutoff, color='gray', ls=':', lw=1.5)\n", + "ax.set_title('Reduced Form: 자격이 GPA에 미치는 효과', fontsize=13, fontweight='bold')\n", + "ax.set_xlabel('수능 점수', fontsize=12); ax.set_ylabel('GPA', fontsize=12)\n", + "ax.legend(fontsize=10)\n", + "\n", + "# ── 오른쪽: 처치 확률 (First stage) ──\n", + "ax2 = axes[1]\n", + "ax2.scatter(left_['score'], left_['treated'] + np.random.normal(0, 0.012, len(left_)), color='tomato', alpha=0.3, s=12)\n", + "ax2.scatter(right_['score'], right_['treated'] + np.random.normal(0, 0.012, len(right_)), color='steelblue', alpha=0.3, s=12)\n", + "\n", + "m_d_l = smf.ols('treated ~ score_c', data=left_).fit()\n", + "m_d_r = smf.ols('treated ~ score_c', data=right_).fit()\n", + "ax2.plot(xs_l, m_d_l.predict(pd.DataFrame({'score_c': xs_l - cutoff})), color='tomato', lw=2.5)\n", + "ax2.plot(xs_r, m_d_r.predict(pd.DataFrame({'score_c': xs_r - cutoff})), color='steelblue', lw=2.5)\n", + "y_l_d = m_d_l.params['Intercept']\n", + "y_r_d = m_d_r.params['Intercept']\n", + "ax2.scatter([cutoff], [y_l_d], s=90, color='tomato', zorder=6, facecolors='none', edgecolors='tomato', linewidths=2)\n", + "ax2.scatter([cutoff], [y_r_d], s=90, color='steelblue', zorder=6)\n", + "ax2.annotate('', xy=(cutoff, y_r_d), xytext=(cutoff, y_l_d),\n", + " arrowprops=dict(arrowstyle='<->', color='black', lw=2))\n", + "ax2.text(cutoff + 0.8, (y_l_d + y_r_d)/2,\n", + " f'ITT_D= {y_r_d - y_l_d:.3f}', fontsize=11, fontweight='bold', va='center')\n", + "ax2.axvline(cutoff, color='gray', ls=':', lw=1.5)\n", + "ax2.set_title('First Stage: 자격이 처치 확률에 미치는 효과', fontsize=13, fontweight='bold')\n", + "ax2.set_xlabel('수능 점수', fontsize=12); ax2.set_ylabel('처치 확률', fontsize=12)\n", + "\n", + "plt.suptitle('Fuzzy RDD 시뮬레이션: Reduced Form & First Stage', fontsize=14, fontweight='bold')\n", + "plt.tight_layout()\n", + "plt.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 64, + "id": "fz700004", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "=============================================\n", + " ITT_Y (Reduced form 점프) : 0.2522\n", + " ITT_D (First stage 점프) : 0.4267\n", + "---------------------------------------------\n", + " Wald LATE = ITT_Y / ITT_D : 0.5911\n", + " 진짜 LATE : 0.5\n", + "=============================================\n" + ] + } + ], + "source": [ + "# ── Wald 추정량으로 LATE 계산 ──\n", + "itt_y = y_r_gpa - y_l_gpa\n", + "itt_d = y_r_d - y_l_d\n", + "late_wald = itt_y / itt_d\n", + "\n", + "print(\"=\" * 45)\n", + "print(f\" ITT_Y (Reduced form 점프) : {itt_y:.4f}\")\n", + "print(f\" ITT_D (First stage 점프) : {itt_d:.4f}\")\n", + "print(\"-\" * 45)\n", + "print(f\" Wald LATE = ITT_Y / ITT_D : {late_wald:.4f}\")\n", + "print(f\" 진짜 LATE : {true_late}\")\n", + "print(\"=\" * 45)" + ] + }, + { + "cell_type": "code", + "execution_count": 65, + "id": "fz700005", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "==================================================\n", + " [1단계 First Stage]\n", + " α₁ (처치 확률 점프) : 0.4267\n", + " F-통계량 (≥10이면 강한 IV): 67.1\n", + "\n", + " [2단계 Second Stage]\n", + " β₁ (LATE 추정치) : 0.5912\n", + " 진짜 LATE : 0.5\n", + "==================================================\n", + "\n", + " * 표준오차는 linearmodels 등 IV 패키지로 추정해야 정확합니다.\n" + ] + } + ], + "source": [ + "# ── 수동 2SLS ──\n", + "# 1단계: D ~ Z + score_c + Z*score_c\n", + "fs = smf.ols('treated ~ elig + score_c + elig:score_c', data=df).fit()\n", + "df['D_hat'] = fs.fittedvalues\n", + "\n", + "# F-통계량 (elig 계수에 대한 t² ≈ F)\n", + "f_stat = (fs.params['elig'] / fs.bse['elig']) ** 2\n", + "\n", + "# 2단계: Y ~ D_hat + score_c + D_hat*score_c\n", + "ss = smf.ols('gpa ~ D_hat + score_c + D_hat:score_c', data=df).fit()\n", + "\n", + "print(\"=\" * 50)\n", + "print(\" [1단계 First Stage]\")\n", + "print(f\" α₁ (처치 확률 점프) : {fs.params['elig']:.4f}\")\n", + "print(f\" F-통계량 (≥10이면 강한 IV): {f_stat:.1f}\")\n", + "print()\n", + "print(\" [2단계 Second Stage]\")\n", + "print(f\" β₁ (LATE 추정치) : {ss.params['D_hat']:.4f}\")\n", + "print(f\" 진짜 LATE : {true_late}\")\n", + "print(\"=\" * 50)\n", + "print()\n", + "print(\" * 표준오차는 linearmodels 등 IV 패키지로 추정해야 정확합니다.\")" + ] + }, + { + "attachments": {}, + "cell_type": "markdown", + "id": "fz800001", + "metadata": {}, + "source": [ + "## 참고 자료\n", + "\n", + "- [인과추론의 데이터과학 (Youtube)](https://www.youtube.com/watch?v=8SIoMJTmO3A)\n", + "- Imbens, G. W., & Lemieux, T. (2008). Regression discontinuity designs: A guide to practice. *Journal of Econometrics*, 142(2), 615–635.\n", + "- Hahn, J., Todd, P., & Van der Klaauw, W. (2001). Identification and estimation of treatment effects with a regression-discontinuity design. *Econometrica*, 69(1), 201–209.\n", + "- Card, D., Dobkin, C., & Maestas, N. (2008). The impact of nearly universal insurance coverage on health care utilization: Evidence from Medicare. *American Economic Review*, 98(5), 2242–2258.\n", + "- Cattaneo, M. D., Idrobo, N., & Titiunik, R. (2019). *A Practical Introduction to Regression Discontinuity Designs*. Cambridge University Press." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "base", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.11.5" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +}