diff --git a/paul/feed.html b/paul/feed.html index 3a5c977..76ebd75 100644 --- a/paul/feed.html +++ b/paul/feed.html @@ -320,7 +320,7 @@

-
+
diff --git a/paul/neuralnets.html b/paul/neuralnets.html index bd5c7e4..1e1c0b4 100644 --- a/paul/neuralnets.html +++ b/paul/neuralnets.html @@ -455,8 +455,9 @@

Single Layer Perceptron

  • \(x_i \in \R^d\), want to approximate some \(f: \R^d \to \R\)
  • Approximate by \[ \begin{align*} -f(x_i; \mathbf{w},\mathbf{b}) = \psi_1\left( \sum_{u=1}^m w_{u,1} \psi_0( x_i'w_{u,0} + b_{u,0}) + b_{u,1} \right) -\end{align} +f(x_i; \mathbf{w},\mathbf{b}) = +\psi_1 \left( \sum_{u=1}^m w_{u,1} \psi_0( x_i'w_{u,0} + b_{u,0}) + b_{u,1} \right) +\end{align*} \] where
    • Weights: \(w_{u,1} \in \R\), \(w_{u,0} \in \R^d\)
    • @@ -468,7 +469,7 @@

      Single Layer Perceptron

      Activation functions

      -
      +
      Code
      import numpy as np
      @@ -497,7 +498,7 @@ 

      Activation functions

      Single Layer Perceptron

      -
      +
      import torch.nn as nn
       import torch
       class SingleLayerPerceptron(nn.Module):
      @@ -552,7 +553,7 @@ 

      Computing Gradients

    • E.g. \(\ell(\theta) = f(g(h(\theta)))\)
      • \(\ell : \R^p \to \R\), \(h: \R^p \to \R^q\), \(g: \R^q \to \R^j\), \(f: \R^j \to \R\) \[ -\left(\nabla \ell(\theta)\riight)^T = & \underbrace{Df_{g(h(\theta))}}_{1 \times j} \underbrace{Dg_{h(\theta)}}_{j \times q} \underbrace{Dh_\theta}_{q \times p} +\left(\nabla \ell(\theta)\riight)^T = \underbrace{Df_{g(h(\theta))}}_{1 \times j} \underbrace{Dg_{h(\theta)}}_{j \times q} \underbrace{Dh_\theta}_{q \times p} \]
    • Forward mode: @@ -587,7 +588,7 @@

      Computing Gradients

    • Gradient Descent

      -
      +
      Code
      n = 100
      @@ -628,7 +629,7 @@ 

      Gradient Descent

      Multi Layer Perceptron

      -
      +
      def multilayer(d,width,depth,activation=nn.ReLU()):
           mlp = nn.Sequential(
               nn.Linear(d,width),
      @@ -650,7 +651,9 @@ 

      Multi Layer Perceptron

      Multi Layer Perceptron

      -
      +
      +
      +Code
      mlp = multilayer(1,4,4,nn.ReLU())
       print(count_parameters(mlp))
       optimizer = torch.optim.Adam(mlp.parameters(), lr=0.01)
      @@ -669,6 +672,7 @@ 

      Multi Layer Perceptron

      ax.plot(xlin, f(xlin), label="f", lw=8) ax.scatter(x.flatten(),y.flatten()) fig.show()
      +
      73
      @@ -696,7 +700,7 @@

      Overparameterization

      Double Descent

      -
      +
      Code
      from joblib import Parallel, delayed
      @@ -749,7 +753,7 @@ 

      Double Descent

      Double Descent

      -
      +
      f = lambda x: np.exp(x[0]-x[1])
       n = 20
       torch.manual_seed(1234)
      @@ -777,7 +781,7 @@ 

      Double Descent

      Double Descent

      -
      +
      Code
      def plotdd(losses, nonoise):
      @@ -818,7 +822,7 @@ 

      Double Descent

      Double Descent: Low Noise

      -
      +
      Code
      sigma = 0.01
      @@ -839,14 +843,14 @@ 

      Double Descent: Low Noise

      width 9
      -
      +
      Code
      fig=plotdd(ddlowsig[0].mean(axis=2), ddlowsig[1].mean(axis=2))
       fig.show()
      -

      +

      diff --git a/paul/neuralnets.ipynb b/paul/neuralnets.ipynb index 84b641d..a3b59d9 100644 --- a/paul/neuralnets.ipynb +++ b/paul/neuralnets.ipynb @@ -42,8 +42,9 @@ "- $x_i \\in \\R^d$, want to approximate some $f: \\R^d \\to \\R$\n", "- Approximate by $$\n", " \\begin{align*}\n", - " f(x_i; \\mathbf{w},\\mathbf{b}) = \\psi_1\\left( \\sum_{u=1}^m w_{u,1} \\psi_0( x_i'w_{u,0} + b_{u,0}) + b_{u,1} \\right)\n", - " \\end{align}\n", + " f(x_i; \\mathbf{w},\\mathbf{b}) =\n", + " \\psi_1 \\left( \\sum_{u=1}^m w_{u,1} \\psi_0( x_i'w_{u,0} + b_{u,0}) + b_{u,1} \\right)\n", + " \\end{align*}\n", " $$ where\n", " - Weights: $w_{u,1} \\in \\R$, $w_{u,0} \\in \\R^d$\n", " - Biases: $b_{u,1}, b_{u,0} \\in \\R$\n", @@ -52,18 +53,18 @@ "\n", "## Activation functions" ], - "id": "b795a0a5-9afb-4c11-a1f3-e6b06896c49b" + "id": "4957f000-ff0a-492c-8efe-3dbc30d92244" }, { "cell_type": "code", - "execution_count": 2, + "execution_count": 1, "metadata": {}, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ - "/tmp/ipykernel_124509/2445902844.py:18: UserWarning:\n", + "/tmp/ipykernel_154378/2445902844.py:18: UserWarning:\n", "\n", "FigureCanvasAgg is non-interactive, and thus cannot be shown\n" ] @@ -96,7 +97,7 @@ "fig.tight_layout()\n", "fig.show()" ], - "id": "fad885f9" + "id": "fa8e416f" }, { "cell_type": "markdown", @@ -104,11 +105,11 @@ "source": [ "## Single Layer Perceptron" ], - "id": "7ab17cc3-f659-4b39-967a-eb8636a8e3c7" + "id": "5da90a40-6bd4-4b95-a821-98f635ebfe1f" }, { "cell_type": "code", - "execution_count": 3, + "execution_count": 2, "metadata": {}, "outputs": [], "source": [ @@ -128,7 +129,7 @@ " def forward(self, x):\n", " return self.activation(x @ self.w0 + self.b0) @ self.w1 + self.b1" ], - "id": "65fde7ad" + "id": "e0cca4b0" }, { "cell_type": "markdown", @@ -163,7 +164,7 @@ "- E.g. $\\ell(\\theta) = f(g(h(\\theta)))$\n", " - $\\ell : \\R^p \\to \\R$, $h: \\R^p \\to \\R^q$, $g: \\R^q \\to \\R^j$,\n", " $f: \\R^j \\to \\R$ $$\n", - " \\left(\\nabla \\ell(\\theta)\\riight)^T = & \\underbrace{Df_{g(h(\\theta))}}_{1 \\times j} \\underbrace{Dg_{h(\\theta)}}_{j \\times q} \\underbrace{Dh_\\theta}_{q \\times p}\n", + " \\left(\\nabla \\ell(\\theta)\\riight)^T = \\underbrace{Df_{g(h(\\theta))}}_{1 \\times j} \\underbrace{Dg_{h(\\theta)}}_{j \\times q} \\underbrace{Dh_\\theta}_{q \\times p}\n", " $$\n", "- Forward mode:\n", " 1. Calculate $h(\\theta)$ and $D_1=Dh_\\theta$\n", @@ -191,18 +192,18 @@ "\n", "## Gradient Descent" ], - "id": "71f0e205-16cf-457d-9b45-0c2849d44d12" + "id": "fd906e5d-d4d0-4d3d-a17a-ad32966192cc" }, { "cell_type": "code", - "execution_count": 4, + "execution_count": 3, "metadata": {}, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ - "/tmp/ipykernel_124509/2098039251.py:30: UserWarning:\n", + "/tmp/ipykernel_154378/2098039251.py:30: UserWarning:\n", "\n", "FigureCanvasAgg is non-interactive, and thus cannot be shown\n" ] @@ -247,7 +248,7 @@ "ax.scatter(x.flatten(),y.flatten())\n", "fig.show()" ], - "id": "96f946ce" + "id": "2d9309e2" }, { "cell_type": "markdown", @@ -255,11 +256,11 @@ "source": [ "## Multi Layer Perceptron" ], - "id": "6d84e145-23be-4696-ad4d-0a481993bc98" + "id": "22930f9b-80a0-4d1c-8709-521e0ad43410" }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -281,7 +282,7 @@ "def count_parameters(model):\n", " return sum(p.numel() for p in model.parameters() if p.requires_grad)" ], - "id": "fcb45227" + "id": "0b021342" }, { "cell_type": "markdown", @@ -289,11 +290,11 @@ "source": [ "## Multi Layer Perceptron" ], - "id": "a86c1074-6026-4aca-82e7-425086f12ba1" + "id": "70c44de8-9633-4391-a2b4-720942bf79d1" }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 5, "metadata": {}, "outputs": [ { @@ -307,7 +308,7 @@ "output_type": "stream", "name": "stderr", "text": [ - "/tmp/ipykernel_124509/1192107855.py:18: UserWarning:\n", + "/tmp/ipykernel_154378/1192107855.py:18: UserWarning:\n", "\n", "FigureCanvasAgg is non-interactive, and thus cannot be shown\n" ] @@ -340,7 +341,7 @@ "ax.scatter(x.flatten(),y.flatten())\n", "fig.show()" ], - "id": "cba0e72d" + "id": "08968030" }, { "cell_type": "markdown", @@ -360,11 +361,11 @@ "\n", "## Double Descent" ], - "id": "2da89ba1-8929-49c7-86cf-62453e8ec29e" + "id": "8fa64d79-8dc8-40d6-92c5-ebb56992d37a" }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 6, "metadata": {}, "outputs": [], "source": [ @@ -414,7 +415,7 @@ " nonoise[w,:,s] = results[s][1]\n", " return([losses, nonoise])" ], - "id": "aecfbf7c" + "id": "bce812e0" }, { "cell_type": "markdown", @@ -422,11 +423,11 @@ "source": [ "## Double Descent" ], - "id": "db67dbc1-5e65-4add-b61f-18c0a2315ba1" + "id": "e9499d85-7e0a-40df-8d85-f3164c60058c" }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 7, "metadata": {}, "outputs": [ { @@ -459,7 +460,7 @@ "lr = 0.01\n", "dd = doubledescentdemo(x, y, xtest, ytest, f, lr)" ], - "id": "2a1c8648" + "id": "1e1493f3" }, { "cell_type": "markdown", @@ -467,18 +468,18 @@ "source": [ "## Double Descent" ], - "id": "b7830cc8-be0e-4623-bfa2-1173393be232" + "id": "cad31d98-0ec1-48d4-b279-a52adaae5b9c" }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 8, "metadata": {}, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ - "/tmp/ipykernel_124509/3674602720.py:30: UserWarning:\n", + "/tmp/ipykernel_154378/3674602720.py:30: UserWarning:\n", "\n", "FigureCanvasAgg is non-interactive, and thus cannot be shown\n" ] @@ -487,7 +488,7 @@ "output_type": "display_data", "metadata": {}, "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAApcAAAGcCAYAAACMQ4vPAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90\nbGliIHZlcnNpb24zLjguMSwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/SrBM8AAAACXBIWXMAAA7E\nAAAOxAGVKw4bAAD5z0lEQVR4nOzdd3hUVfrA8e/0THqFEBICAQKCNAWFFQQUiBQL61pBsez+FKzY\nFkEREJEFXWVXEdcu6qprR+kqRWygdKmBEFp6mSQzybT7+2OSIWHuQBLS836eZx7CnVvOZCbnvnPO\nec/RKIqiIIQQQgghRB3QNnYBhBBCCCFEyyHBpRBCCCGEqDMSXAohhBBCiDojwaUQQgghhKgzElwK\nIYQQQog6I8GlEEIIIYSoMxJcCiGEEEKIOiPBpRBCCCGEqDMSXAohhBBCiDojwaVoUBqN5qyPjh07\nnvN1tm3bxqxZs8jLy6vW/sOGDWPw4MHnfF0hhGht0tLS0Gg0vP3223V2zp9++omLL76YoKAgNBoN\n27Ztq7Nzi/qnb+wCiNblp59+qvL/8ePH06dPH2bNmuXdZjKZzvk627ZtY/bs2UycOJHIyMhzPp8Q\nQgh17dq146effqJz5851ds4777wTs9nMsmXLCAwMJDk5uc7OLeqfBJeiQQ0cOLDK/00mE9HR0T7b\nhRBC1FxZWZnqF3SHw4Fer0ej0dTqvC6XC0VR0Ot9wwaTyVSndbjb7Wbfvn3MmDGDyy67rM7OKxqO\ndIuLJufw4cNMmDCBmJgYTCYTffv25fPPP6+yz/79+xk/fjxt2rQhICCADh06cN111+F0Onn77be5\n/fbbAejatau3uz0tLe2cyrVv3z7Gjx9PeHg4ZrOZgQMHsnLlymqXC6C4uJj77ruPDh06YDKZaNOm\nDSNGjGDv3r3nVDYhRMuyfft2rrrqKiIiIjCbzVxyySVs3Lixyj633XYb8fHx/PTTT/zpT3/CbDbz\n2GOPebupFy9ezGOPPUZcXBwmk4mCggIUReGFF16gW7duGI1G2rVrx7333ovFYqlybo1Gw4wZM5g/\nfz6dOnXCaDSyc+dO1bKqdYtXlG3r1q0MGTKEwMBAunbtypIlS874ut9++210Oh1ut5unn366zoZK\niYYlLZeiSTl69CgXX3wxbdq04YUXXiAmJoaPPvqIa6+9li+++IKrrroKgLFjxxIREcErr7xCdHQ0\nx48fZ/ny5bjdbsaOHcsTTzzB3Llz+d///kd8fDzg6bqprRMnTjB48GBCQkJ46aWXCAsL4+WXX2bs\n2LF8/fXXjB49+qzlApg6dSpfffUV8+bNo2vXruTm5rJp0yYKCgrO7RcnhGgxfv/9d4YMGUK/fv14\n7bXXCAwMZMmSJYwYMYIff/yRCy+80LtvYWEhN954I4888gjz5s3DbDZ7n3vmmWcYMGAA//nPf3C5\nXAQEBDBjxgyeffZZ7rnnHq688kr++OMPnnzySbZv38769evRak+1Ob399tskJSXx3HPPERQURFxc\nXI1eh8Vi4eabb+bBBx9k5syZvPXWW0yePJlu3boxfPhw1WPGjh3LDz/8wODBg7nzzjv561//WidD\npUQDU4RoRImJicqECRO8/7/jjjuU6OhoJScnp8p+I0aMUPr06aMoiqJkZ2crgPLll1/6Pe9bb72l\nAMqBAweqVY6hQ4cql1xyid/nH374YUWn01U5n9PpVJKTk5V+/fpVu1w9e/ZUpk6dWq0yCSFap8su\nu0zp3r27UlZW5t3mdDqV7t27K1dffbV326RJkxRA+eKLL6ocf/jwYQVQ+vXrp7jdbu/23NxcxWg0\nKpMmTaqy/9KlS33qLkBp166dYrVaz1reiuu99dZbPmX77rvvvNtKS0uVyMhI5W9/+9sZz+dwOBRA\neeqpp856bdE0Sbe4aFJWrlzJmDFjCAsLw+l0eh8pKSls374di8VCVFQUSUlJTJs2jddee40DBw7U\ne7k2bNjAwIED6dKli3ebTqfjpptuYtu2bdUu14ABA3j77beZN28eW7ZsweVy1XvZhRDNh81mY/36\n9Vx33XVotVpvHagoCiNGjGDDhg1V9jcYDIwbN071XNdcc02VMZY///wzdrudiRMnVtnvxhtvRK/X\ns379+irbr7jiiiotoTUVGBhYpYXSZDKRnJxMenp6rc8pmgcJLkWTkpWVxbvvvovBYKjyePTRRwHI\nzc1Fo9GwZs0a+vfvz+OPP05ycjJJSUm88sor9VauvLw81W712NhYFEUhPz+/WuX697//zV133cWb\nb77JgAEDaNOmDVOnTsVqtdZb2YUQzUdeXh4ul4unn37apx586aWXyM/P9w6zAYiJiUGn06me6/Q6\nq2JqttO36/V6oqKifKZuO5ehRAARERE+20wmE6Wlped0XtH0yZhL0aRERUUxZMgQ/v73v6s+XzHm\nJykpiXfffRdFUdi+fTsvvfQSU6ZMoWPHjt7xj3UpMjKSjIwMn+0ZGRloNBpvJXq2cgUHB/Pss8/y\n7LPPcuTIET755BOmTZuG0WjkH//4R52XWwjRvISHh6PVarnnnnu49dZbVfepPC7yTNnfpz9XMS1b\nRkYGPXv29G53Op3k5ub6TNtW28xyIaTlUjQpV1xxBTt27KBnz57079/f53H6wG6NRkPfvn355z//\nCcCuXbuAU3Nl2my2OinX0KFD+fnnn6tknLtcLj766CP69etHaGhotcpVWWJiIg8//DC9evVSfV4I\n0foEBQUxZMgQtm/fzgUXXKBaD9bWwIEDMRqNfPjhh1W2f/TRRzidToYNG3aOpRfCQ1ouRZMyZ84c\nLrroIi699FLuvfdeOnbsSH5+Prt27eLQoUO8+eab7NixgwceeIAbbriBLl264HK5ePvtt9Hr9d45\n0Xr06AHAyy+/zKRJkzAYDPTu3Ruj0ej32rm5uXzyySc+23v37s3UqVN5++23GTlyJLNnzyY0NJTF\nixezf/9+vvnmG4BqlWvQoEFcddVV9OrVi+DgYNavX8/27duZNGlSXf8qhRDN1D//+U8uvfRSUlJS\nuPPOO2nXrh05OTn8/vvvuFwu5s+fX6vzRkZG8vDDD/Pss88SFBTEmDFj2LNnD0888QSDBw9m7Nix\ndfxKRGslwaVoUjp06MCWLVuYNWsW06dPJzs7m6ioKM4//3xvABYbG0uHDh345z//ybFjxwgICKBX\nr158/fXX3ik6Klb9+c9//sNrr72G2+3m8OHDZ5wvbe/evVx33XU+2xcuXMgjjzzCDz/8wN///ncm\nT55MWVkZffv25ZtvvuGKK66odrkuvfRSPv74Y+bPn4/T6SQpKYkXXniB+++/v45/k0KI5uqCCy5g\n8+bNzJ49m/vvv5/CwkJiYmK44IILuPvuu8/p3M888wwxMTEsWbKExYsXExUVxa233sqzzz5bpbtd\niHOhURRFaexCCCGEEEKIlkG+pgghhBBCiDojwaUQQgghhKgzElwKIYQQQog6I8GlEEIIIYSoMxJc\nCiGEEEKIOtOspiJSFIVZs2bx2muvUVhYyIUXXsjixYs5//zzz3qs2+2moKCAgIAAWXVACOFDURRK\nS0u9K6Q0N1I/CiHqU43qSKUZWbBggRIfH6/s2LFDsVqtyrRp05S4uDilqKjorMfm5uYqgDzkIQ95\nnPGRm5vbALVZ3ZP6UR7ykEdDPKpTRzareS47derEgw8+yAMPPAB41kNt164d//znP7nllluq7Otw\nOHA6nd7/W61WoqOjSd+XhDmg0rqs7yeqXitjl+/2/Kxwn20Feb7bAAryQ3y25eQH+2w7XmDy2QZw\nApfPtpPaMp9teZpS1eMtGrvPtjKN7zntuH226VBvuVDbblJ0PtsC/DSIB6jsq3a8wc9ojerua1TU\nj/c9GjQqr8nf9zG116+2r9o564JC9f5Ua3L96rbP+f9MqF2/+tfRquxdk+PV9q3uttPP68TOS/yV\nkpISAgMD/RzRdNVF/Zh6IgGz+dRvJfC99qrXOv5zN59tRw/E+2w7eTJa9fjMPJX6scS33sj385nP\nx+mzzaLx3Vascageb1PZt1S1fvTd5lSpMwFcmrq/larWTzW4jF7lL0ftb87f9upu81cuf/tW9/rn\nsh+ce11c3frRX5nUrl+Tj0lNfv/q16/9ddS2uxQ7G5T7q1VHNptu8cLCQtLS0rjooou82/R6Pf36\n9WPr1q0+leczzzzD7Nmzfc5jDtBWqTw1BrXbIwTofX81ATqDzzaT1ncbgFHru8ygUeO7zaCyDUCv\n+FZqOpVPpVajXtFpVT4rGpUKVaNSUfr7g1QPxHx/T2rbPNt9f9c61W3+gsPq7evveLVS1Si4VCS4\n9N2udv3qX6c+gkv198Tf9VX2bYbdwnVWP5qr1o9mY/XrR5NK/ahWD4K/utD3nHo/bR96jcrfveo2\nPzdNlX21KsGlViW41PoJLt1+6uJzca7BhbYhg8tqntOflhhcVrd+q8l5GzO4BECpXh3ZbAYWWSwW\nAMLDw6tsj4iI8D5X2YwZM7Bard5Hbm5uQxRTCCEanNSPQoimpNm0XIaGhgJQUFBQZXt+fj7t2/t2\n3RgMBgwG32/SmvcTq7RW/vLpENXrZWdH+mwzGny7WLQ69W/WTqdv3G4r820FKPbTGFWo9f3GbFVp\nefTXRaPWHRKq+HbBq3Uhm1TboyBQ8f24qG1T6/72bPe9luEcW9nUWtTUr179Vq6atNKpbavJNza1\nd8/3nfdQ+6jUpJVPtZVR5QRqx+v99OXoVI43qPSP+f+i67uvWgu9zk9foE7lRWlV9tVp1f9OKp/X\nrtgh3185m7a6qh91pYYqLYD5e3y7ugF2benhs23n/rY+24451N/4fJVWQovG5rOtUKferV2E77Cf\n6nZrA7jVeoFUeyZ8t6nVrQBGlXqvJsfrVa6vtu+59kz4u756z4xa/Vr9YVNqr8l/z1T1hgD4e/3q\nLafndvy59lap3x+q35pZ3XuJv+P1ddwz5ETP99UsU7NpuQwLC6Njx45s3rzZu83pdLJt2zb69evX\niCUTQojGJfWjEKIpaTbBJcCUKVN47rnn2LVrFzabjaeeegqDwcD48eMbu2hCCNGopH4UQjQVzaZb\nHOCRRx6hqKiIESNGYLFY6N+/PytXriQ42DcLWwghWhOpH4UQTUWzCi41Gg1z5sxhzpw5jV0UIYRo\nUqR+FEI0Fc2qW1wIIYQQQjRtzarlsi7kpcZirjRHW1GRepeRopIlpr6fv+0qWXIqmeXqs2SqZ1aH\nuH33NqjM1+YpgO8mtWw8g8p1AvzkWwe5fbcHqWWl+8ldC1J5/SaVbXo/mcEGvUqGZw1mFK7ucgH+\nMpvVMo7Vspj9Ha/Xqx1/bnPjudzV/36oVcuQVbm+Qe+bYWswqGfdGvS+MxgYjb7bdDr147U6ld+J\nyr56g+85PeXy3a72mvzRVXqtpS4HfFvtQ1skY4EbY6V1GY6fiFLdLyMz3GfbCZXM8Ew/k5gXaX3f\nN7XZMGwqk6UD2FXmlFSbOUMtK7wmapTtrbJdLVva35yCalnUatm+ahnM/s6rvvDDuc3JqJZV7+9a\nNSm/+swfaves6md7q2Vx+5tN5Fzm3K3JOas760iNru/vnqU237VKcKA2L7ba9R2Koj7FiYoGDy7d\n7qola45r+AohRH2ROlII0dw1SK21d+9ehg8fTnBwsHd+NX/zrAkhRGsjdaQQoiVpkJbLO+64g/bt\n2/Pxxx8TFBTUEJcUQohmQ+pIIURL0iDB5a5du1i3bh1Go/o6s0II0ZpJHSmEaEkaJLhMSkqioKCA\nNm3aNMTlzujk4XYE6E51Ne064LtkGUD3jjk+25J7pvps85f4k3Yg0WfbgeNhPttStb7LmAGkaYt8\ntuVofZdHc6kuCghhKks9RrsDfLYFq3wEIt3qH4sIlVEUYSpJNkEqCR0AJqNvokZNEmKqm5Dj7z1x\nuX23u9UG3J9rEoCf4xWVgdBOlYSc6iaTgfryo3o/yTN6leQZtSQjtYQYf+dUS8jRqLx+jZ/EK71K\nQpBa8o5O5Tr+rqVWJrXrAOgrfVYVl/o+DaGp1JGKxvOokJ8drrrfrhyzz7YDOqvPNruf0f9lKks1\nluCb/FPsJyHIqZLQ4/ZTF6pRS7So7jb/yz+qLW+rsk1lP7/7VjNJCNQTglSTZPwcr1brqx2vOcfj\na7K8bk2WKqxuQo6/5BnVRBuVE6jv52953Oolz/g7Xm24dU2Wx1U7XrV+9nPLOf1eZlccYFHf93T1\nFlweOnTI+/NDDz3ExIkTeeqpp2jXrl2V/ZKSkuqrCEII0WRJHSmEaKnqLbjs0qULmvJwWClvclq7\ndm2VbRqNBpdLvUVECCFaMqkjhRAtVb0Fl4cPH66vUwshRLMndaQQoqWqt+AyMfHUmMNNmzZxySWX\n+Ozz448/VtlPCCFaC6kjhRAtVYPMczl69GjV7ePGjWuIywshRJMmdaQQoiVpkGxxRSXNt6yszDu2\nqCEdTYvDqD013YfNqV6GsHDfbG2dyhJ4uRnqy6MdSPPN+tzp9s1GPaRTT73K05b6bFPLhmvnVl++\nso1KZniY4vt2Byu+uW8hfrL5wlUyw0MDfV9TSKB6BrzJ6Jv5qbasoL8lEdUyu90q2dYuVw2yrdWy\n8fxkRqstdahWfoPK6wT1jOXqZjv721cti9rf9QPMZb77mnz3NarsZ1LZBmAw+77XepVz6gPVj9er\nHK9VW9LRrP6adEG+59Wo7KtRyYoHoNIMBrYyN3ytvlt9ayp1pPG4DqPp1B9FxokY1f2OaXzft3yV\nbf448P27UVv+US0r3B/VzG4/mdkBKre+QJX6US1b26RSZwIYVfY1q+yrllXuuVb1ljpUW1LR3/Hq\nSw1WP1u7uhnU/vdVqbNqsFRhTWYT0VZzXUL/y/uq1a/Vy8xWm4nD33a1c/pbsvZcZvgA9XuG2swf\n/u85Vf9f5rY3frY4wJAhQ9BoNJSWlnLppZdWeS49PZ3+/fvX5+WFEKJJkzpSCNES1WtwOWLECAB+\n+eUXLr/8cu92rVZLbGwsN9xwQ31eXgghmjSpI4UQLVG9BpdPPfUUAF27duXmm2+uz0sJIUSzI3Wk\nEKIlapCEHqk0hRDCP6kjhRAtSb21XGq12moNRq/uBMGzZs3i6aefxmw+tezYlVdeyX//+98alSsz\nNwSj5lRCT5HKkoAAxcWBPtsKcsJ9tmVnRaoen1Ni8NlWovFdvtHpZ9kno9pAcJUh0y4/g5jtKgPh\ndSqvNUhlcLfako6gnrwTqJK84W+pPrVlDe1234+g06X+ncfp8n39Tqfvvm4/76nDz3lP5y+hSHXA\nt8o2tSUZQX1ZSPUB1+rXV0seMhp8f/8BAeqJFQFm3yQxtSQfU4DvNqOfc6ol+qjtq5bkA6BTW+pR\n5XWqJf4AGFQShXQBvtfS+lmSVFfpvC57w05W3iTryFIdVEo4sdp8l5EFKFOpX9TqIrV6CMCqstSj\nRSUhSG2ZSFBPajGo1JkBfn69pYrK50FlX7UkH38JMWrJP2qv3l/aSXX3dfpZ5lLtN6VW4/lb/lCN\n6vKLflbZVE3oUanza7L8olqSVk0SgvQ1SCgy+ql3T6f2J+tvyV617W6V35+/JTVdassDO1SWKVVb\nUxL15CG1Munc6q/99EQhtfL4U2/B5Zo1a7w/79ixg8WLF/PAAw/QqVMnDh8+zL/+9S+mTJlSo3MO\nGjSIH374oa6LKoQQDU7qSCFES1VvwWXlwemPP/44y5Yto3v37t5tI0aM4NZbb+XBBx+sl+s7HA6c\nzlPfTm0231ZDIYRoLI1ZR0r9KISoTw0y5nLv3r107ty5yrakpCT27t1bo/Ns3bqVmJgYEhMTufnm\nm8+4fNozzzxDYGCg9xEVpT4fpRBCNLaGriOlfhRC1KcGCS579OjBM888450oWFEUnn322Srf0s/m\nL3/5C3/88QdZWVn8+OOPaDQaRowYQXFxser+M2bMwGq1eh+5ubl18lqEEKKuNXQdKfWjEKI+NcgK\nPS+//DKjR4/m1VdfJSEhgaNHj+JyuVi+fHm1z3H++ed7f27fvj1vvvkmYWFh/Pjjj4waNcpnf4PB\ngMHgm1QTGWrFqD3VHRRYqD5gvU1b38o2pn22zzaXU314clS678oWgSW++7r9DM62qaxWobZrFL4r\n8QDEuI0+2xI0vtePCfK9Tliw+moqDbXCjj9qA5HVF7tQP6fRT3LA6fyv4FC91RL8JeT4W0XB9/rq\nnwm1MdcOp8qfsG/eDqA+GNulkiSltq1GA9ZVjjf4+TsxqCT/uFUSWBQ/nxNF5bx6h0qSj5+EHpft\n1N+J3dGwCT2VNXQd6a9+LD3PicZ86ncd6GdlJrvGt34pVfn78le/qW1XS97wtxpOdVfOUUuCBAhQ\n2ddczVV71Fbd8Wz33TdApYIy+UkIMp7jCjtqfyGqCTmqR6tfS60u9Hu82go7NUioUdtcsxV6qrev\n2jlBfbU21RVyqrkN/K2mU71Vc6D6q/n4u2eo3bPUjveXhHr6eV3u6teRDRJcXnjhhaSmpvLVV19x\n/Phx4uPjGTduHKGhobU+p0ajQaPRqC6bJoQQzYnUkUKIlqRBgkuAkJAQJkyYUOvjP/74Yy677DKi\no6PJzMzk0UcfpW3btvzpT3+qw1IKIUTjkDpSCNFS1Ftw+cwzzzBjxgwAZs6c6Xe/OXPmVOt87733\nHvfccw8lJSVERERw6aWXsnbtWkJCQuqkvEII0ZCkjhRCtFT1Flxu2rTJ+/PGjRtV96nOBMIVvvrq\nq3MukxBCNBVSRwohWqp6Cy4rD0SfO3cugwYNQqs2YlYIIVohqSOFEC1Vg4y5HDNmDBqNhuHDhzNq\n1ChGjRrlM6dbQ9lzLAJDpUzHrrHqUxlFt8vx2WYrMvtsO5Qar3r8rmLfm8Rxve+1nH4WAwtTfLPY\noxTfzPB4l2+ZAOJVMhcjzb4ZsyFBvtm6gX6W2jMZfbebVJb106ss6QfqWWqq2cZ+MoPVMvPVloR0\nqSwJ6e+8ahns/jL31F6rQSWD3mjyt/yib+atXu/7u9KrZOAD6FT2NaiVyc9Si0a1pR6DfSfPNob4\nppsbgtVT0A1hVp9t2hDf62gC1X8nqHwmUVlmVAnws+RdkO92R4RKVrz6nwnuSstnOmxumKG+X31r\nKnVkwB49AaZTv7/9adGq+xVrfOsyvcrfUqmf5R+dfrafTi0r3N92fTW3AZhUbn3Bim/2fIjKtkD1\nKSoIUlt+Ui0DXvVoMKhmW/vZWYXGT2b+6fysFFiD61T/vGrZ4v6+PxlU7g8Gg9qSu9Vfnlcti1st\nA9tTrmpmhqtkgBtU6mbPtVRmU1GdYUS9zteqXF8127uaM5H421enV7/+6R0nZS71e4vqdaq95znI\ny8vj66+/pnfv3ixdupTzzjuPzp07M3ny5Ia4vBBCNGlSRwohWpIGCS51Oh2DBw9m9uzZvPfee8ye\nPZu8vDxee+21hri8EEI0aVJHCiFakgYJLpctW8Z9991HcnIyl1xyCXv27OFf//oXx48fb4jLCyFE\nkyZ1pBCiJWmQMZdXX301ycnJLFiwgGuuuaYhLimEEM2G1JFCiJakQYLLt956i9WrV3PXXXcxbdo0\nUlJSGDVqFMOHDycwMLAhiuDlUqo210ZHWVT3U1uWrqQw2GdbsVV9eLZFZSm0XI1vUoRFo57oEKmS\nvBOkkqQTobININzoO2g3SCV5Qqsy4LrMrn5Op0qijNXmb3h69agNrva3lJUa9YQg9X3VEnrUruXW\nqzfoqyUP6Up9l8HTaNQ/02qDs9VmmvH3+tXeK7XB2WpJRqCeaGRS+ZybVPYz+ElS0qssq6iW0OVv\nwLheLSFJJaFM7ToAhiDfvym9yvGmIPVlDLWVEo20dhdwRHW/+tZk6kit4nmUs7v8JMepJI+4zzFR\npCaMqskzaks1qtdlanWpyU+izukcfhJnrCrJmQ6V9JdSPykxankmatsMfo7Xqy0fqZZk46d6rXZC\njr/lcauZvKO2H6jXhWqLS6ktY+vZ13dntfuDy+1vqUSV5YVVj1dbRtfPe6L3/ZxqnSoJNX4SctTu\nBepJPtW/Z6glGamd03PeqtvLavBH3iDd4pMmTeL9998nMzOT//73v0RERHDLLbcQFRXVEJcXQogm\nTepIIURL0mDLP+7evZvVq1ezevVqNmzYQEBAAFdeeWVDXV4IIZo0qSOFEC1FgwSX7du3Jzc3l4sv\nvphRo0Yxe/ZsBgwYUKPVJ4QQoqWSOlII0ZI0SHD56quvMmzYMIKDfccsCiFEayd1pBCiJWmQ4HLc\nuHENcRkhhGiWpI4UQrQkDTbmsqkow5MxXiEjM1x1v14qWWI6lSzYEpv6rzBb65vFmqn1XSrPH6fi\nm71VpPHNrM3W+C5PBmC2+243q2SBh6hk0YaEqJdTLSPNrZI9Vlbmm0EN4HD4Zs6pbVNbktHftdSy\n+WpCLRvP4ax+trrakmMGP8s3Bph8f9dGlWzpmiwfGWD2/ZwFBKov1RigklmtNiuCWma1XmU/AJ1K\nZrpB5Xidn+UfdcEq+0aofP5C1bO9UZkVQTH5bnNGq7+npZGnchpLbW74P/XLtBouredRzt+fQpHW\n931XyyD3exmVfW0a3/rVpJIV7u9afhJmq02jtlSjSv1i9lMms8rxass/qtfY6pndarWbv2xrtSxu\nteNrsvyj+vHVz/bW1uAzUd1zGvxmNqss/1iDpRaru9SjWrZ1TZZvVHtN/rLFVZekVIlD/C3/qFZW\njcrvyd8MJbrTyq9tass/CiGEEEKI1kGCSyGEEEIIUWckuBRCCCGEEHWm1Yy5rJi930nVsV92RX0s\nWKnTd1xDqct3m8PP8S6V7YpS/fEKbpXj3SpjfVx+VqBwqox1sSu+5be7fa9TprIN1MfPqI2DtPtZ\nIcfhVhtf6fv9xu+YS5Xt5zzmUuU1qW3zR6e2KoRbffyNRu336vZ9TxS3+udEozbeRXWb+mo2qHym\nXSrb3Crb9A7116RTWYnKqbKvzu7neJXtujKVD5DaNgCVscmKyjZnqfp7ared+tlmc5cff46D95qh\nitdsO+337K9+U62f1OoHP39LCr6fW9VtKu+l5/pq29Sur368S+W8atucKnWuE/Uxl06VEYpq2/xR\ne01qR/v7naq1FKmOmax2ifwd72fMpco2tbL6+42ovn+qq+74GZ+oerzvvm5FvS5yqyztprZNrc5z\nqWwD0GqqOebS73uq8jlVuWeo7ec5r8qYS5Xfk98xl6edt6z8flOdOlKjtJKaNC8vT1a7EEKcVW5u\nLpGRkY1djAYl9aMQorqqU0e2muDS7XZTUFCAoihER0eTm5uL2Wxu7GLVCZvNRlRUlLymZqAlvq6W\n8poURaG0tJTw8HC0aosit2AV9WNAQAClpaUt4v2srKV8RiuT19Q8tKTXVJM6stV0i2u1WiIjI7HZ\nPP1gZrO52b/Rp5PX1Hy0xNfVEl5TYGBgYxehUVTUj4B3VaCW8H6eTl5T8yCvqemqbh3Zur6eCyGE\nEEKIeiXBpRBCCCGEqDOtLrjU6/U89dRT6PUtZ0SAvKbmoyW+rpb4mlqzlvh+ymtqHuQ1tRytJqFH\nCCGEEELUv1bXcimEEEIIIeqPBJdCCCGEEKLOSHAphBBCCCHqjASXQgghhBCizrSq4FJRFJ566ini\n4uIICgri0ksvZdeuXY1drGr78MMPGTJkCKGhoWg0GpynrQG9Y8cOLr30UoKCgoiLi2PWrFlNfp3k\nadOm0atXL0JDQ2nXrh033XQTR48erbJPeno648aNIyQkhOjoaO69917sdvU1j5uC2bNn07lzZ8LC\nwoiOjiYlJYVt27ZV2ac5vleVjR8/Ho1Gw9q1a73b1q1bxwUXXEBgYCCdOnXilVdeacQSitqQOrLp\nkTqy+bxXlbX2OrJVBZfPPfccb775JqtWrSInJ4dLLrmElJQUiouLG7to1RIREcGUKVN48cUXfZ4r\nKioiJSWFSy65hJycHFatWsXrr7+uum9TotFoePvtt8nJyWHPnj1oNBquvPJK7/Nut5tx48YRGRnJ\n8ePH+e2339iwYQOPPvpoI5b6zG688Ua2bNlCYWEhJ06cYNSoUaSkpOByuYDm+15VePfdd7FarVW2\nHTlyhLFjx3LnnXdSUFDA22+/zbRp0/j8888bqZSiNqSObHqkjmw+71UFqSMBpRXp2LGj8uKLL3r/\n73A4lOjoaOXdd99txFLV3Pfff68AisPh8G57++23lZiYmCrbXnzxRSUpKakxilhrW7duVQAlLy9P\nURRFWbdunaLX65Xs7GzvPl988YUSGBio2Gy2xipmtZWWliovvPCCAihZWVmKojTv9+ro0aNKQkKC\ncuTIEQVQ1qxZoyiKosyaNUvp27dvlX0ffPBB5bLLLmuMYopakjqy6ZM6smmTOtKj1bRcFhYWkpaW\nxkUXXeTdptfr6devH1u3bm3EktWNbdu20a9fvyoTtQ4YMIBDhw5hsVgasWQ1s3r1ahITE4mIiAA8\nryspKYno6GjvPgMGDMBqtbJ///7GKuZZffPNN4SHhxMQEMBDDz3E1KlTiYmJAZrve6UoCnfccQdP\nPPEEHTp0qPLctm3bqvxtgec1tYS/rdZC6sjmQerIpvteSR15SquZMr7iAxkeHl5le0RERJP+sFaX\nxWJRfW0Vz4WGhjZCqWpm7dq1zJ49m08//dS77Wyvq6kaO3YsBQUF5OXl8c477xAfH+99rrm+V6+8\n8gqKovB///d/Ps9ZLBaSk5OrbGspf1uthdSRTfPvrjKpI5v2eyV15CmtJris+DAWFBRU2Z6fn0/7\n9u0boUR1KzQ0lGPHjlXZlp+f732uqfv666+ZOHEi7733HldccYV3e2hoqOp7VvFcUxcZGckDDzxA\nREQEycnJ9OnTp1m+V6mpqTz99NP8/PPPqs/7e5+a6usRvqSObNqkjmzar0nqyKpaTbd4WFgYHTt2\nZPPmzd5tTqfT2/ze3PXt25etW7dWyY7csmULSUlJTf7D+/777zNhwgQ++ugjxo8fX+W5vn37cvjw\nYXJzc73btmzZQmBgoM+3wKbK7XbjcDg4cOAA0Dzfq40bN5Kbm8uFF15IdHS0twvu2muv5f/+7//o\n27dvlb8t8LymlvC31VpIHdl0SR3Z9N8rqSNP07hDPhvWggULlISEBGXnzp2K1WpVpk+frsTFxSlF\nRUWNXbRqcTqdis1mU1atWqUASnFxsWKz2RSXy6VYLBYlNjZWmT59umK1WpWdO3cqCQkJyvPPP9/Y\nxT6jf//730p4eLiyYcMG1eddLpfSq1cvZdKkSYrFYlGOHDmi9OnTR7nvvvsauKTV9+KLLyoZGRmK\noihKVlaW8re//U0JCwtTTpw4oSiK0izfq5KSEuXo0aNVHoDy3//+V8nNzVXS0tIUs9msLF68WCkr\nK1M2bNighIWFKZ9++mljF13UgNSRTY/Ukc3jvZI6sqpWFVy63W7lySefVNq2bauYzWZlyJAhyo4d\nOxq7WNX21ltvKYDP4/vvv1cURVG2b9+uDB48WDGbzUrbtm2Vp556SnG73Y1b6LMAFL1erwQFBVV5\nVK5I09LSlDFjxihBQUFKZGSkcs899yilpaWNWOozGzt2rNKmTRslMDBQiY2NVa688kpl8+bNVfZp\nju/V6aiUCakongzdvn37KgEBAUpiYqLy8ssvN2LpRG1IHdn0SB3ZfN6r07XmOlKjKM1oVlIhhBBC\nCNGktZoxl0IIIYQQov5JcCmEEEIIIeqMBJdCCCGEEKLOSHAphBBCCCHqjASXQgghhBCizkhwKYQQ\nQggh6owEl0IIIYQQos5IcClEDbz99tvEx8c3djGEEKLJkfpRVJDgUgghhBBC1BkJLoUQQgghRJ2R\n4FI0O6WlpUyfPp3OnTsTERHBpZdeytatWwGYNWsWgwcP5vHHH6dNmzbExsby6KOP4nA4vMfv2bOH\n0aNHEx0dTXx8PHfddReFhYXe5202G0888QTJycmEhISQlJTEO++8U6UMr776Kh07diQsLIzrrrsO\ni8XSMC9eCCHOQOpH0RRIcCmanbvvvptff/2V9evXk52dzfXXX09KSgoFBQUA/PLLL+j1eo4ePcq6\ndev49NNPWbBgAQBFRUWMGDGCHj16kJ6ezubNm9m7dy+TJk3ynv9vf/sbq1ev5ssvv8RisfDDDz/Q\nq1cv7/MZGRns3buXPXv2sHfvXrZt28bzzz/foL8DIYRQI/WjaBIUIZqRnJwcBVD27t1bZXuXLl2U\npUuXKk899ZTSpk0bxel0ep9bvHixkpSUpCiKonzwwQdKdHS04nA4vM///vvvCqCcPHlSyc7OVgBl\n8+bNqtd/6623FJPJpNjtdu+2Rx55RLniiivq8mUKIUSNSf0omgp9Ywa2QtTUwYMHAbj44ourbLfb\n7Rw7dgyAhIQEdDqd97lOnTpx9OhRAI4ePUpiYiJ6/amPfpcuXQBIT09Ho9EA0K1bN79liI6OxmAw\neP8fFBREUVHRubwsIYQ4Z1I/iqZCusVFsxIbGwvAjh07KCgo8D6sVivTpk0DPBWky+XyHpOWluad\nHiMhIYH09HScTqf3+dTUVAA6dOhAx44dAdi/f39DvBwhhKgzUj+KpkKCS9GsJCYmcs0113DPPfdw\n5MgRwDNOaMWKFZw8eRKAvLw85syZQ1lZGfv27WPhwoXcfvvtAIwdOxa9Xs/06dOx2WxkZGQwdepU\nrrzySmJjY4mJieGmm27innvuYd++fQCcPHmS33//vXFesBBCVJPUj6KpkOBSNDsffPABF154ISNH\njiQkJIRu3brx2muvoSgK4OkSstvtxMfHc+mll3LNNdd4v7WHhoayZs0atm/fTnx8PBdeeCFdunSp\nku342muvMXToUEaPHk1wcDCXXHIJu3fvbpTXKoQQNSH1o2gKNErFJ06IFmDWrFmsXbuWH374obGL\nIoQQTYrUj6KhSMulEEIIIYSoMxJcCiGEEEKIOiPd4kIIIYQQos5Iy6UQQgghhKgzElwKIYQQQog6\nI8GlEEIIIYSoMxJcCiGEEEKIOiPBpRBCCCGEqDMSXAohhBBCiDojwaUQQgghhKgzElwKIYQQQog6\nI8GlEEIIIYSoMxJcCiGEEEKIOiPBpRBCCCGEqDMSXAohhBBCiDojwaUQQgghhKgzElwKIYQQQog6\nI8GlEEIIIYSoMxJcCiGEEEKIOiPBpRBCCCGEqDMSXAohhBBCiDojwaUQQgghhKgzElwKIYQQQog6\nI8GlEEIIIYSoMxJcCiGEEEKIOiPBpRBCCCGEqDMSXAohhBBCiDojwaUQQgghhKgzElwKIYQQQog6\nI8GlEEIIIYSoMxJcCiGEEEKIOiPBpRBCCCGEqDP6xi5AQ3G73RQUFBAQEIBGo2ns4gghmhhFUSgt\nLSU8PByttnV975b6UQhxNjWpI1tNcFlQUEBUVFRjF0MI0cTl5uYSGRnZ2MVoUFI/CiGqqzp1ZKsJ\nLgMCAgDPL8VsNjdyaYQQTY3NZiMqKspbV7QmUj8KIc6mJnVkqwkuK7p6zGazVJ5CCL9aY7ew1I9C\niOqqTh3ZugYWCSGEEEKIeiXBpRBCCCGEqDMSXAohhBBCiDrTasZcirqhKAoulwuXy9XYRRGV6HQ6\ndDpdqxwvKIRoXuQ+0jTV5X1EgktRbQ6Hg5MnT1JSUtLYRREqgoKCaNeuHQaDobGLIoQQquQ+0rTV\n1X1EgksVW9LyeGVdKj3bh/HQyOTGLk6ToCgKhw8fRqfTER8fj8FgkFayJkJRFBwOB1lZWRw+fJiu\nXbvKeyPq1fu/HGHlrgwmDerIiB5tG7s4opmQ+0jTVdf3EQkuVRSXOfl2bxalTmmyr2C323G5XCQk\nJMhUJU1QQEAAer2etLQ0HA4HRqOxsYskWrAjuVY2HshhUOcoCS5Ftcl9pGmry/uIJPSoaBvqmSA0\n01LWyCVpelrbsnjNScV7oyhKI5dEtHSx5XVkRmFpI5dENEdyH2m66uo+Iu+wilPBpVScQghxunZh\nnjryRIHUkUIIXxJcqogINGDUaSkqdWK1Oxu7OEII0aT0zPictw3/oEPOusYuihCiCZLgUoVGo6FN\nqAmALOkab/FGjx7N008/7ff5tWvXnnVgc1paGhqNhoMHD9Z18YRocqJK0xmm205EyaHGLooQTYLc\nR6qS4NIP6RpvPVasWMGTTz5Z7f1nzZrF4MGD67FEsH37dkaPHk1sbCwajYa1a9fW6/WEqAlzWAwA\nBnshZZL4KITcR04jwaUfbctbLjOLpOVSNDyj0cif//xnvv7668YuihA+tEFRAERQLL07QjRRjXkf\nkamI/GgT4mm5zJKWS786Tvumwa+ZNn9stfZbtmwZd911FydOnADgnXfe4bbbbuOLL77g6quvxul0\nEhkZyTfffMOTTz7J4MGDmTt3LgC//fYbU6ZMYffu3XTv3p2bb77Ze97333+fefPm4XK5CA4OBjzf\nWBMSEgDYtGkT1157LYcOHaJnz568+eab9OjRo8av87zzzuO8886r8XFCNAhzJACRmiJOFpaSEBnY\nyAUSzVlD30vkPlL/pOXSD+kWb96GDRtGTk4OO3fuBGDVqlV07dqV1atXA/Dzzz8DMGjQoCrHWSwW\nrrjiCkaNGkVubi7vvvsuixcv9j4/YcIEpk+fzqBBgyguLqa4uJghQ4Z4n1+6dCkrV64kOzub+Ph4\nJk+e7H1u/vz5hIeH+3307t273n4fQtSpQE9wGa4p4mShrZELI0T9kPtI7UnLpR/ebnHp8vGrut/+\nGkNISAgDBw5k9erVnH/++axdu5YlS5bw2GOPAbB69WqGDx+OXl/1T2DZsmVotVpmzZqFTqejR48e\nPPDAA9x///3Vuu7MmTNp164dALfffjvXXXed97lp06Yxbdq0OnqFQjSiwFPd4r/LXJfiHDXVe4nc\nR2pPWi79kJbL5m/UqFGsXr2arVu3Eh4ezvjx4ykqKiI1NZU1a9YwatQon2OOHTtGQkICOp3Ou61T\np07VvmZcXJz356CgIGw2G06nTGclWpYMxcnvJhMOfTEnJbgULZjcR2pHgks/KlousyShp9kaOXIk\nGzdu5MsvvyQlJQWNRsPIkSP56KOP2Lx5MyNHjvQ5Jj4+nqNHj+JyncqATUtLq7JPbVeXmDdvHsHB\nwX4fPXv2rNV5hWhor6d+zqS4tvwWpJBZYG3s4ghRb+Q+UjsSXPrRplLLpSyn1zwNGDCAgIAAFi1a\n5P12OWrUKBYsWEBCQgLJyck+x4wbNw6Xy8WcOXMoKytj7969LFq0qMo+sbGxpKenU1pasxab6dOn\ne8fXqD12797t3VdRFEpLS73XcDgclJaWNrtvr0Ldhx9+yJAhQwgNDUWj0Zz1fR02bBhGo7HKTaTy\nGC6ATz75hO7du2M2mznvvPP47LPP6q38oQHhABTpNBQW5tbbdYRobHIfqR0JLv0IMekxG3RY7S6K\ny+SG3hxptVouv/xyrFYrw4cPBzyVgsViUf22CRAWFsby5ctZvnw5UVFRTJw4scpgaoAbbriBbt26\nERcXR3h4OD/88EOdl/3IkSOYzWbMZjMAY8aMwWw2ezMRRfMWERHBlClTePHFF6t9zGOPPVblJjJl\nyhTvc7/88gsTJ07kmWeewWKxMHfuXCZMmMCWLVvqofQQZgoDwKLVYrdk1cs1hGgK5D5SOxqllTTL\n2Ww2AgMDsVqt3l/02Qxb+D1puVbWPjSULm2C67mETVtZWRmHDh0iKSkJk8nU2MURKuQ9Oje1qSPO\n1bp16xg+fDgOh8MnKaCyYcOGVZnm5HS33347BQUFfP75595t48ePJzIykjfeeMNnf4fDUaX1wmaz\nERUVVe3X/vmBz5n540yuKirmjxMP8PHT92PQSVuFODOpo5q+M71HNakjpTY4g4qucZnrUgjR2F55\n5RUiIiLo3r0706ZNo7i42Pvctm3buOiii6rsP2DAALZu3ap6rmeeeYbAwEDvIyoqqkZlCTWGAp6W\ny3CKyZax6UKISiS4PIPYinGXRRJcCiEaz7x58zhw4AC5ubl89NFHrFq1ijvvvNP7vMViITw8vMox\nERERWCwW1fPNmDEDq9XqfeTm1mzcZKipPLjUaYmkSDLGhRBVyDyXZ1CRMZ5RKN/KhRCN509/+pP3\n5z59+vDCCy8wYsQIbDYbZrOZ0NBQCgoKqhyTn59PaGio6vkMBgMGg6HW5ancctlFU0SGBJdCiEqk\n5fIMZK5LIURTVDGNScWQ+b59+7J58+Yq+2zZsoV+/frVy/UrB5cRmmJZpUcIUYUEl2fgHXMp3eJC\niDrkcrkoLS3FbrcDnkH0paWluN1un30zMzNZuXIlJSUlKIrC7t27eeihh7jqqqsIDPSs6X3XXXex\nfPlyPv/8cxwOB59//jkrVqzg7rvvrpfye7vFtZ5ucWm5FEJUJsHlGbQNkSUghRB1b+nSpZjNZlJS\nUgAIDg7GbDazYcMG0tPTCQ4OZuPGjQCUlpYyc+ZM4uLiCAkJ4eqrr+ayyy7jnXfe8Z5v4MCBLF26\nlMcff5yQkBAef/xx3nvvPQYMGFAv5Q/UB6JDQ6lWS7CmiJPSuyOEqETGXJ6BdIsLIerDbbfdxm23\n3eb3+cqZ4ImJifz6669nPed1111XZQ3i+qTRaAjVB5HvLMaok5ZLIURV0nJ5Bm0qloC0lMkqPUII\nUc5VXExiSQBBNgW9rkSCSyFEFRJcnkGgUU9IgB67y02B1dHYxRH1ZPTo0Tz99NN+n1+7di0ajeaM\n50hLS0Oj0XDw4MG6Lp6oJXdJCfZjxxq7GC1S9j//yfR/ZjBkt4JWZyXTUorLLV/AResl95GqJLg8\ni7Yy12WLt2LFCp588slq7z9r1iwGDx5cjyWCd999l0suuYTIyEiioqIYNmwYmzZtqtdrtiSl+/Zx\n+C/XcfSuu3FbrY1dnBZHG+RZscxsB0VXitPtJrdYxqaL1kvuI1VJcHkWFXNdSlKPaEhFRUXMnDmT\nI0eOkJGRwTXXXMMVV1zBMWmJOyNFUcj/8EPSrrse++HDoAFnXn5jF6vFKdGHkxvRnUB7BFatQhCl\nMpG6EE1MY95HJLg8i7YhktTTHC1btoy4uDjv/9955x00Gg1ffvklAE6nk9DQUDZu3MiwYcN44okn\nvPv+9ttvXHzxxQQHB9O/f3927Njhfe79999n3rx5/PTTTwQHB1fJ6gXYtGkTffr0ISQkhIEDB/LH\nH3/Uqvz33HMPKSkphISEYDAYePDBB9HpdD5zGYpTXBYLxx+cSsas2Sh2O+HX/YVO//sfxvj2jV20\nFudgQQzb+9xHoLs3Fl3FXJdSR4qWRe4jtSfZ4mch64ufwaywRrhmYbV2GzZsGDk5OezcuZNevXqx\natUqunbtyurVq7n66qv5+eefARg0aFCV4ywWC1dccQV33303GzZsIDU1lauuusr7/IQJEzhw4ABr\n167lhx9+8G5PS0sDPFPMrFy5koiICCZOnMjkyZNZv349APPnz2f+/Pl+y9yhQ4cqFVBlv/zyC8XF\nxfTp06dar7+1sW7ezIlpj+M4fhxtUBCxc2YTNnZsYxerxdIHeG4dBrexfH3xIjJkInVRWw19L5H7\nSLVe/7mQlsuzkG7x5qniG9/q1atRFIW1a9cyf/58Vq1aBcDq1asZPnw4en3V71fLli1Dq9Uya9Ys\nTCYTPXr04IEHHqj2dWfOnEm7du0ICAjg9ttvr/INcdq0aRQUFPh9+KsQjh49yg033MC0adNISkqq\nxW+jZXLb7RR+9RWHr7ueI7fciuP4cQJ69qTTZ59KYFnPDGbP0pF6t8kzkbrMdSlaILmP1J60XJ5F\nrMx16V81v/01llGjRnn/+MPDwxk/fjyTJ08mNTWVNWvWMHHiRJ9jjh07RkJCAjqdzrutU6dO1b5m\n5S6UoKAgbDYbTqfTp/KproMHDzJy5Eiuv/565s6dW6tztDTO3Fzy3/+A/I8+wpWbC4AuLIyICTcT\ndffdaI3GRi5hy2cMNAJOdN6Wy2JOFkgdKWqpCd9L5D5SO9JyeRZtvNni0nLZ3IwcOZKNGzfy5Zdf\nkpKSgkajYeTIkXz00Uds3ryZkSNH+hwTHx/P0aNHcblc3m0VXRUVKtZ1rql58+Z5x9eoPXr27Fll\n/x07djBkyBDuuOMOFixYUKtrtjSlf/zBoWuuIWfxYly5uZi6daPd3Kfpsu57Yu6/XwLLBmII8tSL\nOsXoXV9c5roULZHcR2pHgsuzaOudSF0qzuZmwIABBAQEsGjRIkaNGgV4voUuWLCAhIQEkpOTfY4Z\nN24cLpeLOXPmUFZWxt69e1m0aFGVfWJjY0lPT6e0tGafienTp1NcXOz3sXv3bu++P/74I8OGDePv\nf/97jaa3aMmKN23iyMRbcGXnYL7wQhKXvkunLz4n/C9/QWs2N3bxWhVjsCe41CpGLLqKbnEZcyla\nHrmP1I4El2cRU76+eFZRGW6ZJLhZ0Wq1XH755VitVoYPHw54KgWLxaL6bRMgLCyM5cuXs3z5cqKi\noryDqSu74YYb6NatG3FxcYSHh1cZkF1XZsyYQUFBAU888USVb6Xz5s2r82s1B4XLlnnnrAwdO5bE\nt94kcMCAs05KLOqHMcQTzGsweRN6MguljhQtj9xHakejtJJ1DW02G4GBgVitVsw1bOW44Ok15JXY\n2TxjhDfYbG3Kyso4dOgQSUlJmEyt83fQ1LXE90hRFPLeeIOs554HIPL222nz6CNoatmldCbnUkc0\ndzV97Wm/n+Cb/+wlrGAvb438N48c7cTk0nvY8sQIooNbxmdP1L2WWEe1NGd6j2pST0jLZTW0CanI\nGJeucSEaUvaiRd7Ass20v9P274/VS2Apaqai5VLRGClGQ1t9CYCMuxRCABJcVktbyRgXosFZVq4i\nd8mroNcT9/xzRN12W42Od9pduFzu+ilcK2c0e7JWXToTOLWEaosAZCJ1IQQgwWW1yFyXQjSsssOH\nOTljBgBtH3u0xvNWupxuVry6i5Wv7sJpd539AFEjeqNnihWXzojZDhpNMYBMpC6EAGSey2qRlksh\nGo7bauX4/Q/gLikhZPQVRNxyS82Odyt8+/YfpO/OJSDYQElhGWExgfVU2tbJYPIEl26dCXMZuBRP\ncCktl0IIkJbLavEuAVkkFacQ9UlRFE7OmkXZgQMYO3Wi3dNza5QRrigKGz/cz4EtWRgCdFx5Xx8J\nLOuBoaLlUutpubRqHJiwy5hLIQQgwWW1tA2RbnEhGkLBRx9h+WoZGrOZ+H8tQhccVKPjf112mF0b\njqPTaxk7uTdtEkPrqaStm95UqVu8VDm1So8El0IIJLisFukWF6L+2XbsIPMZz/xr7ebMwdS1a42O\n37Y2nS3L09BoNaT8rSftu0XURzEFoNVq0OICjZZAu8G7vniG1JFCCCS4rJZTwaW0XApRH0p+/pn0\nO/+K4nAQcfNNhF05rkbH7/nxJJs+OQjA5bd2p1OfmPoopqhEp/EkSlUEl+GaYk4W2mglUycLIc5A\ngstqiA42otVAbkkZDpnaRIg6VfjVV6T/7f9wFxURMmoUbaZNq9Hxx/bmse69vQAMvr4r3Qa2q49i\nitPotZ4gMrDMhEWnJc5gpdThptDmaOSSCSEamwSX1aDXaYkONqEokFMsrZctzejRo3n66af9Pr92\n7dqzJpWkpaWh0Wg4ePBgXRevxVIUhZwlSzjx2N/B4SBy0iTav/gCWqOx2ucoyLSy8j+7cLsV+o3q\nQJ/LEuqxxKIyvc4TXJodRixaLR3MnmmIZNylaI3kPlJVowSXs2fPpnPnzoSFhREdHU1KSgrbtm07\n4zH5+flMmDCBsLAwwsPDmTBhAgUFBQ1SXpCu8ZZsxYoVPPnkk9Xef9asWQwePLgeSwRffvklvXv3\nJiIigvDwcC644AI++eSTer1mQ1KcTjJmPkX2i4tAo6Ht9Mdp+/i0Gq2+U1ri4JvFOyizOunYO5pB\n13SuxxKL0+l1nhtlgN0TXLY3eoJLyRgXrZHcR6pqlODyxhtvZMuWLRQWFnLixAlGjRpFSkoKLpf/\nyY4nTpxIZmYmqampHDx4kMzMTCZNmtRgZT41kbpUnKL+9e/fnxUrVpCXl0d+fj4vvvgit9xyC9u3\nb2/sop2zssOHOXLLrRT8739oTCbaL3qRyFtvrdE5XC43q17bRUGmlaj2wYy8owcabfWnLBLnTm8o\nDy6dnuCyrcEKwLF8a2MWSwhRrjHvI40SXHbr1o2ICE8mp6Io6HQ6srKyyMvLU93/yJEjLF++nOef\nf57o6Giio6N5/vnn+eqrr0hPT1c9xuFwYLPZqjzOhXeuSwkum4Vly5YRFxfn/f8777yDRqPhyy+/\nBMDpdBIaGsrGjRsZNmwYTzzxhHff3377jYsvvpjg4GD69+/Pjh07vM+9//77zJs3j59++ong4GCC\ng4PZuHGj9/lNmzbRp08fQkJCGDhwIH/88Uetyt++fXvat2+PRqNBURS0Wi2KonDgwIFana8pUNxu\n8t55h8PXjMe2dSv6mBg6vP0WoaNG1fhcmz4+wLG9+ZhDDIyZ0gtjQPNaD+LDDz9kyJAhhIaGotFo\ncDqdfvfNyspi0qRJdOrUieDgYDp27Mjjjz9OWdmpXpSK7rSgoCDv5zI4OJjCwsJ6ew0Go+f2YSwP\nLtuUry+elivBpWgZ5D5Se41WI3/zzTdMmDCBwsJCNBoNU6dOJSZGPcNz27ZtmEwm+vTp493Wp08f\njEYj27Zto0OHDj7HPPPMM8yePbt2hTvyE6z/B8T1gxFPAdA2RLrFT9frnV4Nfs2dk3ZWa79hw4aR\nk5PDzp076dWrF6tWraJr166sXr2aq6++mp9//hmAQYMGVTnOYrFwxRVXcPfdd7NhwwZSU1O56qqr\nvM9PmDCBAwcOsHbtWn744Qfv9rS0NACWLl3KypUriYiIYOLEiUyePJn169cDMH/+fObPn++3zB06\ndKhSARUWFpKYmEhJSQlOp5PBgwcztobLIDYV9iNHODFjBrYtvwEQdvXVtJ3+OLqwsBqfa+e6Y+xc\nfxytXsPou3sTGmWu6+LWu4iICKZMmYLNZuPOO+88477FxcV069aNmTNn0qlTJw4dOsSf//xnbDYb\nL774YpV9t2/fTpcuXeqx5KdUzHVpcnkSeiKcnlV6juSWNMj1RcvR0PcSuY/U/32k0RJ6xo4dS0FB\nAbm5uTz//PM+b05lFouFMJWbUHh4OBaLRfWYGTNmYLVavY/c3NzqF85RAoe+h+O/eTdVdIufkLVz\nm4WKb3yrV69GURTWrl3L/PnzWbVqFQCrV69m+PDh6PVVv18tW7YMrVbLrFmzMJlM9OjRgwceeKDa\n1505cybt2rUjICCA22+/nc2bN3ufmzZtGgUFBX4flSsEgLCwMAoKCigqKuKTTz5hzJgxGGuQ7NJU\nWNas4dDV12Db8hu6mGjiFy8m7h/zaxVYpm7NYuNH+wG4bGJ32nWu+TmagpSUFG666SaSkpLOum9S\nUhLTp0+nc+fOaLVaunTpwh133MH3339f6+vXRc+Ooby1WO/ytFyGuD11sbRcipZC7iO11+h9SZGR\nkTzwwANERESQnJxcpXWyQmhoqGr3TkFBAaGh6itwGAwGDAZD7QoV1Mbzb0m2d1NSTDAAB7OKa3fO\nFqi63/4ay6hRo7x//OHh4YwfP57JkyeTmprKmjVrmDhxos8xx44dIyEhAZ1O593WqVOnal+zchdK\nUFAQNpsNp9PpU/nUREBAANdeey1jxowhODiY++67r9bnamjWzZs58fAjKHY7oePGEfvEDHTh4bU6\n17F9+ax+YzeKAhdd2alVTzm0evVq+vXr57N96NChlJWVkZyczKOPPsr48eNVjz+nnp1yBrMRsKF3\ne4JLk6MAgPRcKy63gk7GwIpqasr3ErmP1E6TmIrI7XbjcDj8jgPo27cvZWVlVSLyHTt2YLfb6du3\nb90XKLg8uCzO8m7q1jYEgH0ZRbjcMklwczBy5Eg2btzIl19+SUpKChqNhpEjR/LRRx+xefNmRo4c\n6XNMfHw8R48erZJcVtFVUUFbg4zmyubNm1dlPNzpj549e57xeIfDwb59+2p17cZQduAAR++5F8Vu\nJ+Lmm4lbuKDWgWV2ehHLX9mB26nQa1g8/cd0rNOyNidPP/00W7duZe7cud5t0dHR/Pjjjxw+fJij\nR48yefJkbrzxRpYvX656jnPq2SlnCPS0fujdJmxaLS5bPm1CTNhdbk5KD49oIeQ+UjuNElwuWrSI\nzMxMALKzs5kyZQpGo5FLLrlEdf/ExETGjBnDI488Qk5ODjk5OTzyyCNceeWVquMtz1lgNKABay64\nPAPtwwINtAsLoMzpljFFzcSAAQMICAhg0aJFjCpPGhk1ahQLFiwgISGB5ORkn2PGjRuHy+Vizpw5\nlJWVsXfvXhYtWlRln9jYWNLT0yktrVly1/Tp0ykuLvb72L17t3ffd999l/379+NyubDZbCxZsoTv\nvvuO0aNH1+I30fAcGRmeidEtFkJGjqDtjOlnnePNn4IsK8v+vQ1HqYuu/dsw5PqutT5Xc/fkk0/y\nn//8h3Xr1hEfH+/dHhwczKBBgzAajZjNZm655RZuuukm3nvvPdXzGAwGzGZzlUdNVQSXOsXzr8VR\nROdIz/ChI9I1LloIuY/UTqMEl2vWrKF3794EBQXRu3dvMjIyWLt2Le3aebq50tPTfbKnli5dSnR0\nNJ07d6Zz587ExMTw7rvv1k8BdXoIjAQUT4BZrlvsqdZL0fRptVouv/xyrFYrw4cPBzyVgsViUf22\nCZ7xKcuXL2f58uVERUV5B1NXdsMNN9CtWzfi4uIIDw+vMiC7rqSmppKSkkJoaCjx8fG88847fPDB\nB80iocdlsXD0b/+HMyMD8wUXELdwIZpK3UM1UVJYxrJ/bcNW5CChRySX39Y6pxxSFIV77rmH//73\nv2zcuJFu3bqd9ZiKzND6Ygz2BKRaxRNQWnRauod7voynyRdw0ULIfaR2NEorWQjWZrMRGBiI1Wqt\n3rf0lwdC9h64+weI9WSyPbtiD6+uP8QDl3dl6kjfbystWVlZGYcOHSIpKQmTydTYxREqmsJ75Lbb\nOfrXv2H99VeMSUl0/OD9WneFuxxuPnvuN7KOFNGmYyhXP9i3XqccqnEdcQ5cLhcOh4MNGzaQkpJC\ncXExOp0Oo9Ho013mdDqZNGkS27Ztq/IlvLKNGzcSHR1NcnIyLpeLTz/9lNtvv52PP/64SpaqP7V5\n7TvXHWPDh/tpf3wjs8b/j3cyM9nd632m/+Dgb0M6MWNsj+r9MkSr0RTqKHFmZ3qPalJPNIkxl01S\ncPm0SJXGXXaXlksh/FIUhYxZs7H++qtnDsvX/lPrwBLgp89TyTpSREhkAOPu7d3s5rI8k6VLl2I2\nm0lJSQE83dpms5kNGzb49Nxs2rSJDz74gNTUVLp27VplfFWFffv2MW7cOEJDQ4mNjWXRokUsXbq0\nWoFlbRnKpyJy6YwE2MGi1dIx0DNVm2SMC9G6tZzauq4F+Sb1dI/1ZKbvy5TgUojTFXz4IYWffYYm\nIICEV5dgaN++1uc6vD2b7d8dRavVMOpvPTEHN78pmM7ktttu47bbbvP7fHHxqVkphg4detbu7b/+\n9a/89a9/raviVYveeCq4NJcHl+cbrUCwjEsXopWTlkt/gtt6/i05FVx2jglGr9WQlluCze5/qUoh\nWhvr71vJmPcsAO2enkNAj9p3iRbllfLtO3sAGDi+M7Gdmudcli3dqZZLE+YyqiwBeSTXiltm1RCi\n1ZLg0h+VbnGjXktSTBCKAgeypPVSCABHVhbHHrgfHA4iJ91K2JVX1vpcLpeb1a/vpszqJLFXFH0v\nT6jDkoq6ZDB5bh8ubXnLpU5LgKOA6GATZU43GbJUrhCtlgSX/qhMpA7QrbxrfK+MuxQCxW7n+AMP\n4srOIXDAANo88sg5ne/Xrw6TcaiQoHATl086r1VmhjcXVbrFyxQKtVqw5tIxKhCQjHEhWjMJLv1R\nmUgdJKlHiMoy58/HtnUr+thY2r/4AprarooFpO3M4fdVR9BoYNSdLW+cZUtT0S3u1pkILB9ziTWf\nxKggQOa6FKI1k4Qef4LKu8VPb7lsK8GlEAC5b7xJ/gf/RWMwEP+vReijomp9roO/ZbHmLc/kvxdd\nmURc1/A6KqWoL5VbLiuyxbHl0bFNectljrRcCtFaSXDpj5+Wy4qJ1KVbXLRmOa+8QvaifwEQO2cO\n5t69a32uHd8fZePHB0CBXkPbc+EViXVVTFGPvAk9WhOBZZBR0S0e7Wm5lG5xIVovCS79qWi5tOaA\n2wVaT0UaH2Em2KQnp7iM3OIyooJlIljReiiKQvaiReQueRU0Gto98wzh46+p9bl+/uIQv686AsDA\na5K4ICWx1S7t2NwYTm+51GnBmkdH6RYXotWTMZf+6AxgjgDFXWUJSI1GQ3Jbz+TF0jXeMowePZqn\nn37a7/Nr1649a8CTlpaGRqPh4MGDdV28JkNRFLIWLPQEljodcQsXEv7n8bU6l8vl5tt39njGWGo1\nXHbreVx4RUcJLJsRrV6DBgVFqyewTOPtFk+MPpXQI9MRidZC7iNVSXB5JhVzXfp0jUvGeEuyYsUK\nnnzyyWrvP2vWLAYPHlyPJYJ169ah0WiqrMYSHx9fr9c8E8XtJvPpueS99RYYDLR/4Z+Ejavd+rTu\n8umG9v2cgd6oZeyU3pz3J98lDUXTptFo0Os8wWOAw1QeXOYTatQRFWSk1OEmq6iskUspRMOQ+0hV\n0i1+JkExkL23ykTqIBnjouEUFBSg1zf+n2nWwufI/+ADNAYD7f+1iJDhw2t1HsWt8N3SvRzamo0p\nUM+V9/WlbafQOi6taCh6PThcEOgwYdPacShuDKUFJEYFkltiJy23hNiwgMYuphCtWmPcRxr/rtWU\neZN6Tp/rsjypp5UvA7mn+3kNfs3z9u6p1n7Lli3jrrvu4sSJEwC888473HbbbXzxxRdcffXVOJ1O\nIiMj+eabb3jyyScZPHgwc+fOBeC3335jypQp7N69m+7du3PzzTd7z/v+++8zb948XC6Xd23nFStW\nkJDgmex706ZNXHvttRw6dIiePXvy5ptv0uMcVqtpCnLfeMPTYqnXE7/4ZYKHDKnVeRRFYePHBzwt\nliYd4+7tI4FlM6c3aKEMAl1moAiLVkuULZ+OUUH8nl5AWk4JA5NqP4uAaB0a+l4i95H6J93iZ+Kd\nSF295fJAZpGMKWqihg0bRk5ODjt37gRg1apVdO3aldWrVwPw888/AzBo0KAqx1ksFq644gpGjRpF\nbm4u7777LosXL/Y+P2HCBKZPn86gQYMoLi6muLiYIZWCraVLl7Jy5Uqys7OJj49n8uTJ3ufmz59P\neHi430dvlYzrTp060bZtWy6//HLWr19fd7+gair47HOyFj4HQNz8+bUOLAF++eoQO9cdQ6vXMObu\nXsQmNY9lHSdMmOD9+b///W8jlqTp0Rs9t5AAlxmoSOrJ9c51mSZJPaIZk/tI7UnL5ZmoLAEJEB5o\npG2oiUxLGUfzrd6KtLWp7re/xhASEsLAgQNZvXo1559/PmvXrmXJkiU89thjAKxevZrhw4f7dBUs\nW7YMrVbLrFmz0Ol09OjRgwceeID777+/WtedOXMm7dp5xg/efvvtXHfddd7npk2bxrRp06p1nu7d\nu7Nt2zZ69uyJzWbj1VdfJSUlhZ9//pm+fftW6xznqui77zlZPoao7fTptR5jCfD7qiP8tsKTvJPy\n1/NJOC+yropZ777++mvvz3fddRc33XRTI5amafFMR+TG5PRMeO+ZSD2PjtHtATgi0xGJamiq9xK5\nj9TeOQeXBw8eRKfT0alTp7ooT5OQbkln3dF1xDrzGQU+wSV4knoyLdnsOVnUaoPLpm7UqFHeP/7w\n8HDGjx/P5MmTSU1NZc2aNUycONHnmGPHjpGQkIBOp/Nuq8lnOy4uzvtzUFAQNpsNp9NZ4/EusbGx\nxMbGAp4K7pFHHuHrr7/m448/bpDg0vr77xyfOhVcLqLuuovIW2+p1XkURWHb2qP89HkqAJdPOo+k\nvjF1WdR617lzZx544AH69OmDw+HgrbfeQlF8eyzuuOOORihd4zKY9IADvbtycJlTaa5LabkUzZvc\nR2qnxt3id9xxBz/88AMAH374Id26daNr164tqrvoYMFBFm5ZyBeWfZ4NJb7BpST1NH0jR45k48aN\nfPnll6SkpKDRaBg5ciQfffQRmzdvZuTIkT7HxMfHc/ToUVwul3dbWlpalX202tqNJpk3b16VrL3T\nHz179jzj8VqtVjWoqWtlhw9z9O7JKGVlhF/3F2IefKBW53G73Gz8cD8/fuqZVmPoTcl0uzi2Lova\nIN5880327dvHs88+i8PhYM6cOTz99NNVHhXjrFobg9mz3KfW6bnpWbRasJysNNdlSYN8ZoWoL3If\nqZ0av7oVK1ZwwQUXAPDCCy/w4Ycf8s033/Dss8/WeeEaS7sgT3P0SUd54HhaQg9UWgYy09Jg5RI1\nM2DAAAICAli0aBGjRo0CPN9CFyxYQEJCAsnJyT7HjBs3DpfLxZw5cygrK2Pv3r0sWrSoyj6xsbGk\np6dTWlpao/JMnz7dO75G7bF7927vvqtWreLw4cO43W6sViuLFi3yDvKuT26rleP334/bYiH4ssuI\nfeqpWs09aS91smLJTnauP45Wr2HUX3ty/tDGm0rpXPTt25eVK1dy4MABzGYzhw8f9nkcOnSosYvZ\nKAyBnhZLratycHmcsEADEYEGrHYX2TIdkWjG5D5SOzUOLq1WK4GBgRQVFbF//36uvfZaUlJSSE9P\nr4/yNYq4YE+T9ImyPBRQbbmUZSCbPq1Wy+WXX47VamV4+dQ5o0aNwmKxqH7bBAgLC2P58uUsX76c\nqKgoJk6cWGUwNcANN9xAt27diIuLIzw83NuSX5d+/fVXhg4dSkhICB06dOCLL75gxYoV9O/fv86v\nVUFRFE4+OZOyAwcxJiURt2ABmlpMX1FSWMYX/9xK2s5cTEF6rn6wH137t62HEje83Nzcs+/UihjM\nnuBS0RjQOxVPQo/Fk1krST2iJZD7SO1olBq2j3bp0oVly5axa9cu3nzzTVasWEFJSQnx8fHk5+fX\nVznPmc1mIzAwEKvVitlsPuO+iqIw8IOBWJ1WfjhylDBFC0/mQKVm7FKHi4ufWMUwq4G/P3wRcR2b\nR+ZrbZWVlXHo0CGSkpIwmWTJy6boXN+jvHeXkjlvHtrAQDr+72NMnTvX+ByZaRZWvrqT4vwyQmPM\nXHlvH8LbBtb4PI2hJnVES1Pb1/7D/w6w/dujdDn4GbOvXcd4RxGPGhJg8g88+OFWvth2ggXX9ub6\nAQn1V3jRbMh9pOk703tUk3qixs0SDz74oDfq/fDDDwHYsGHDWfv5mxONRkNccBwHCw5yMjCCsOI8\nsOVBULR3nwCDjsE6M8kOhQ2fHuTGhy9sxBILcW6sv/1G5oIFALSbN6/GgaXL6WbzN4f5fVU6ilsh\nNimUMZN7Yw4x1kdxRRPhyRY/bX1xy3GgcsulZIwL0drUOLi89957ueKKK9Dr9XTs2BHwZFMuWbKk\nrsvWqNoFteNgwUFOBEfQvTjPkzFeKbgEiNN7MiVzUy3YbU6MZpnZSTQ/jqwsjj34IDidRN5xB6FX\npNTo+OyjRXz79h5yjxeDBvqMSGDgVUnojbqzHyyatYp5Ll06I4FlYAnRgy0LHDY6RVck9Ui3uBCt\nTa2ioS5dunh//vbbb9Hr9QwdOrTOCtUUeJN6TJ7Z8ynOhLZVZ8gPc5cnOrgV0nbmkHxR88uEFa2b\nYrdz/KGHcGXnEHjRRbR5aGq1j3W53Py+8ghbvknD7VYIjTFz+a3nEdc1vP4KLJqUii8QLp3J03Jp\nKF/q0XKCxCjPXKbScilE61Pj4HLUqFFMnz6dYcOG8a9//Yu///3vaLVa5s2bxwMP1G7KkqaoXXB5\ncGks79Yr8c0YN5a6cZT/fPD3LAkuRbOiKAonZ83GtuU39G3a0P6fz1c7gacg08qat/4gK80zW0Kv\noe0Z9Ocu3m7Slqy4uJg9e/ZQVFQ1me+yyy5rpBI1Hm+3uNZIYJmCRe+ZmgjLCTq28YyzTMvxTEdU\nm1kHhBDNU42Dy61bt/KnP/0JgDfeeIOVK1cSFhbG9ddf36KCy7ig8oxxbXmFeNpE6g67C0exEzcK\nWjQc2ZWLvdSJMUC6xkXzkPvqqxR+9hkas5n4l19GHx191mMUReGPH07ww/8O4LS7CY4wcdmk80jo\n3nxW3DkXX3zxBZMmTfIJLDUaTZU57VoLQ3nLpVtnwmyHkxVJj5YTRHQyEmY2UGhzkFNsJyZEEjiE\naC1qPBWRw+HAaDSSm5vL8ePHGTp0KH379iUjI6M+ytdoKqYjOlnRNnnadERFOZ65qVxmHcd1LtxO\nhSO7ZJoS0TwUfv0N2S8uAo2G9s8txNzr/LMeY7XYWb54B+ve34fT7qbrgLbc+ORFrSawBHj00UeZ\nNWsWxcXFuN1u76M1BpYA+koJPWY7WCj/PZQn9XSM8swUIF3jQrQuNQ4u4+PjWb9+PR9//DGXXnop\nAIWFhRiNLSsrNDbI08V9wm3zbDhtIvXCHM/2sJhA9hk8FWrq79nYdu3myC23Urpvf8MVVogasP72\nGycffxyAto9PI+Tyy896zLG9eXz49C+k7czFaNYz8s4ejLqzJ6ZAQ30Xt0nJzMxk6tSpBAae2/RK\nH374IUOGDCE0NBSNRoPT6Tzj/vn5+UyYMIGwsDDCw8OZMGECBQUFVfb55JNP6N69O2azmfPOO4/P\nPvvsnMpYHYbKCT12DVbF5fk6Xj7XZec2njHre0/KYhNCtCY1Di5nzpzJqFGjeOyxx3j44YcBWLNm\nTYOsd9yQYswx6DV68pxWSjUan5ZLS7YnuOzQIZQjgZ6pQtN25pD93n+xbt5M7huvN3iZhTgbe1oa\nx6bcg+JwEDFhAhG3nHnNcEVR2Lo6na8WbcNW5KB9cjg3PnkRyQNa5/jiIUOGsH379nM+T0REBFOm\nTOHFF1+s1v4TJ04kMzOT1NRUDh48SGZmJpMmTfI+/8svvzBx4kSeeeYZLBYLc+fOZcKECWzZsuWc\ny3om+kpjLsOcngaGIu2pidR7tffM/7vzeGG9lkMI0bTUOLi8/vrrKSgoICsri0suuQTwVLjvvfde\nnReuMem0OtoGeVYVydDpfMZcWspbLiPbBNK3WwwndG5cDjdHDxYDULxuPYrDgWj6Ro8ezdNPP+33\n+bVr1541GSEtLQ2NRsPBgwfrunh1xpGZRfpdd+EqLCR42DDaTn/8jK/LXupk1Wu7+fGzgygKXDg6\nkase7EdIZEADlrppGThwIFdffTXPPPMMb775ZpVHTaSkpHDTTTeRlJR01n2PHDnC8uXLef7554mO\njiY6Oprnn3+er776yrsy2pIlSxg9ejTXXnstBoOBa6+9liuuuIJXXnlF9ZwOhwObzVblURuVx1yG\nOT2t2BVLQELl4FJaLkXL1lruI9VVq5XTAwIC2LlzJ5988gm//vorbdq0ITa25bVkeJeB1Ot9ssVP\ndYubGdWjLfvLu8ZPujzHuC0WrPXcaiDqxooVK3jyyServf+sWbMYPHhwPZYI3G43CxcupEuXLgQH\nB9OrVy++/vrrWp/PkZlJ+q234jiSTkCPHrR//jk0Ov+Z3QWZVj75x2+k/p6FIUDH6Lt7MfDqzmi1\nrTvj980330Sj0fD666/z9NNPex9z586tt2tu27YNk8lEnz59vNv69OmD0Whk27Zt3n0uuuiiKscN\nGDCArVu3qp7zmWeeITAw0PuIioqqVdkqT6Ie4ixfX7zSEpA94kLRaOBAZhGljtY5LlW0Dq3hPlIT\nNQ4uT548yUUXXcSgQYO4++67GTRoEBdddBEnTpyoj/I1Ku9cl/rylku32/tcRbd4aEwAl53XhgNG\nT8WZE3U+Lq2nki1a+20Dl1i0FIsWLeKll17iyy+/pLCwkBkzZvDnP/+Z33//vcbncmRkcOTWW7Ef\nOYKpx3kkvPE62qAgv/sf35/P/57dTP7JEiJiA7luWn+S+sacy8tpMQ4fPqz6OHToUL1d02KxEBbm\nu7xseHg4FovFu094eHiV5yMiIrzPn27GjBlYrVbvo7ZrpnvnudQaCbJ7bicWnd4zjMhpJ9Cop3NM\nME63wt6MojOdSghRx+ryPlJTNQ4up06dSlJSEtnZ2eTk5JCdnU2XLl2YOrX6ky83FxXB5YmAIFBc\nYPOsna64FSy5nmzx0Ggz0cEmOncKp8xRiEsfQHG/0QAUffstNVy6XdSRZcuWERcX5/3/O++8g0aj\n4csvvwTA6XQSGhrKxo0bGTZsGE888YR3399++42LL76Y4OBg+vfvz44dO7zPvf/++8ybN4+ffvqJ\n4OBggoOD2bhxo/f5TZs20adPH0JCQhg4cCB//PFHrcr/4YcfMnnyZHr27IlOp+PGG2/koosu8tvN\n6Y/j5EmO3DrJ22KZ+Oab6CMi/O6ftjOHZf/ejr3URVK/GP4yrT8Rsf4DUVH/QkNDKSz0HbNYUFBA\naGiod5/TE3zy8/O9z5/OYDBgNpurPGrjVMuliUC7p1W7MLD881V0EjjVNb5Lxl2KZkbuI7VX40kZ\n169fz759+7yVVmRkJEuWLKFbt251XrjGVtEtnmEqzwwtyYKgKEoK7bgcbswhBu+8liN7tEWzdh3O\nmIHkdbuMqKO/4MzIoHT3H5jPbznrrlf28t3fNfg171lSvYmqhw0bRk5ODjt37qRXr16sWrWKrl27\nsnr1aq6++mp+/vlnAAYNGlTlOIvFwhVXXMHdd9/Nhg0bSE1N5aqrrvI+P2HCBA4cOMDatWv54Ycf\nvNvT0tIAWLp0KStXriQiIoKJEycyefJk1q9fD8D8+fOZP3++3zJ36NDBWwEpiuLzxcTtdtfoG6fj\nxAmOTLoNx9GjBPTsSYc3Xkd3WutWZQe2ZLL2zT9wuxV6Donj0pu6tfpucID/+7//4z//+Q8At956\nq9/93n333Xq5ft++fSkrK2PHjh307t0bgB07dmC3272JlH379mXz5s1VjtuyZQv9+vWrlzJV0Bs8\n7RNunRFzeXCZYw4Djnu6xiMSOb99GJ9vPS7BpfCroe8lch9pgi2XiqKg1VY9TKvVtsgWOm/LpaE8\nBi9P6qlI5gmNPvVtf8R5bel8fBMAx3NNmC/zTO9S/J10jTeGim98q1evRlEU1q5dy/z581m1ahUA\nq1evZvjw4ehPW5Fm2bJlaLVaZs2ahclkokePHjVaHGDmzJm0a9eOgIAAbr/99io3/GnTplFQUOD3\nUfmb7TXXXMPixYvZvn07DoeD999/n19++cVvN+fpnHl5HLntdk9gef75dHjzjTMGlrs3Hmf1G7tx\nuxX6jerA0JslsKygqzQ2VafT+X3UhMvlorS0FLvdDkBZWRmlpaW4Kw29qZCYmMiYMWN45JFHyMnJ\nIScnh0ceeYQrr7ySDh06AHDXXXexfPlyPv/8cxwOB59//jkrVqzg7rvvPodXfnYarQa93vM5Mdk9\nCT0ZpoolIE9P6pHgUjQvrf0+ci5q3HI5dOhQ7r77bhYvXuztrrn33ntb3NriUGki9YpYujypRy24\nTFRKcBQcIr3kBDbiKO4+DPgvRWu/Jeb++xuw1A2nut/+GsuoUaO8f/zh4eGMHz+eyZMnk5qaypo1\na5g4caLPMceOHSMhIaFKsNCpU6dqX7NyF0pQUBA2mw2n0+lT+ZzNY489ht1u5y9/+Qu5ubmMGDGC\nm266idTU1LMe63Y4OHnvfTjSPV3hHd58A52f7lGArWvS+fFTT3biwGuSuCAlUZbqq6RyF9Jbb71V\nJ+dcunQpt99+u/f/wcGe+SC///57kpKS6NGjBytWrGDIkCHe/e+99146d+4MwLhx43j55Ze9xw8c\nOJClS5fy+OOPc9NNN9GxY0fee+89BgwYUCflPRO9UYvT6ULn8FSUJ/XlfzvlST09y5N69mcWUeZ0\nYdK3/CVCRc005XtJa72PnKsat1y+8MIL7N69m8jISNq0aUN0dDS7du3ihRdeqI/yNaqKidQzFYdn\n3YnylsvC7FOZ4hVs5XPfua3HAMg3xKINDqZs/37s5dOFiIY1cuRINm7cyJdffklKSgoajYaRI0fy\n0UcfsXnzZkaOHOlzTHx8PEePHq2y4kpFV0WF01vuq2vevHne8TVqj549Tw2f0Ov1zJo1iwMHDpCX\nl8fHH3/MH3/8weXVmPA8+58vYPv9d/Rt2xK/5JUzB5arTwWWl96YzIVXdJTAsgHcdttt3i6ryo9h\nw4bRoUMHiouLvYEleIYfffDBBxQWFlJYWMj777/vk8Bz3XXXsXfvXkpLS9m7dy/XXnttg7wW73ry\n5d3iGd5VejzBZZBJT1J0EA6Xwj5J6hHNTGu9j5yrGr+6uLg4fvvtNzZu3MjLL7/Mxo0b+e2332jf\nvn19lK9RmXQmogKicKKQrdN5J1I/1XJ5ar6/0p07AcjSe36lRfl2gstbc4u+bfixicIzFUtAQACL\nFi1i1KhRgOdb6IIFC0hISCA5OdnnmHHjxuFyuZgzZw5lZWXs3buXRYsWVdknNjaW9PR0SktLa1Se\n6dOnU1xc7Pexe/du776ZmZkcPHgQRVHIzc3l4YcfJicn56yJc66iIorWrEFjNpPwymIMbdr43Xfn\numP8+JknsLzs1u70GhZfo9cjBIC+fNy5266AopDhKp8zs7xbHKRrXDRfrfE+UhdqFTprtVoGDRrE\nddddx8CBA2sdgTcH3q5xve6MYy5tO8qDy3BPJZqVUULICM+3g6Jv1zZYecUpWq2Wyy+/HKvVyvDh\nwwFPpWCxWFS/bQKEhYWxfPlyli9fTlRUlHcwdWU33HAD3bp1Iy4ujvDw8CoDsuvKiRMnGDduHCEh\nIXTt2pUTJ06wadOmM85H6Coqwl1U5FkvfOECAnr08Lvvnh9PsOFDzxKlQ2/uxnl/ivO7rxBnYjB5\ngksXOkxuLbnOEuzgzRYHOF8yxkUz1druI3WlWh34Z8qQrKy+siUbU7ugduzM2ckJvZ5+frrFFZfL\n23IZ3rcbbHdTkGMjaMgQNAYDtt+34szNRd8Ab6io6n//+1+V/8fGxvokTaxbt67K/y+66CKfzNuH\nHnrI+3NYWBhr1qzxudbpSW3Dhg2rdaJbv3792Lt3b7X3d9tsOE5mABB55x2EjBjhd9/9mzP4bqnn\n3Jf8pQvnX9ryeh2K7EWsSlvFieIT3H9Byxzz3FQYTOXri2tNxGuiSCWHTL2OBMupuY+l5VI0Z63l\nPlKXqtXkeKYMydpmSzYXp1ouPRMD20ud2IocaPUagsJMANgPHcJttaKPa8dll/XAhYKm1I1LH0Dg\noIHgdlN82gdPiLritlqxpx0BFLRmMxE33OB330Nbs1n71h5Q4OKrk+g7okPDFbSeudwuNh3fxGMb\nHmP4x8OZ/dNs3tz1Jjm2nDo5v8Ph4Pzzz69xN1ZLV7EEpEtnJF4XDUCGXg9FGeByAp6VegD2ZXiS\neoQQLVu1Wi7rKkOyOapI6jmh10FxNkUVk6dHmdGUT9VS0SVu7tWbwV1j+FGvIcQJ67edpP/lIyjZ\nsJGitd8S3kAD7EXr4bJYsB87Bm432sBAtDqd34ScY3vzWPX6LhS3woWjE+k/umPDFraOlDhKSCtM\nI9OaSZY1iyxrFpnWTH4+8TNZtizvfhfFXsRVna8iyFA3k8AbDAby8/Nb9DCg2tBXWgKyvcYMCmQE\nRkBphmecemgcIQEGkqKDOJRTwv6MYnrF+644JIRoOWo8FVFrExdUaX3x/GwKs63AaZni5fNKmXv3\nRqvVEBRpgqwy1m45wfAbhpMxaxYlmzbhLik547J7QtSEMzcXx0nPuDZdeDiaqCg0p2UkVshOL2L5\nkp24XQq9h8dz8VVJDVjS2lMUhePFx9mWvY1tWZ7HgYIDuBXf+SABEkISuKrzVVzZ+UraB9d9d/+d\nd97JwoULmTFjRp2fu7mqaLl060y0xdNCmRkYBnkZnozxUE8den77MA7llLDzeKEEl0K0cBJcnoV3\nlR6DEdwOLCfygNOSeXZWBJe9AOiUGMaRrCwOHi6gKDAMc58+2LZto/jHHwn1MwBYiOpSFAVnZibO\nHE93rz6mDfo2Md4JuU9XmG1j2UvbcZS66Nq/DYOv69osphsqLCtk2sZp/HC86kB3vUZP54jOxAbG\n0iawDW2D2tI2sC2dwzvTO7p3vb6277//nl9++YUlS5aQmJhYpRVzw4YN9Xbdpszbcqk1EqN45uvM\nMJXXj5bjQH/AM+7yq+0n2HVCxl0K0dJJcHkW7YLLV+nR61AAS6anYqyYhshdWkrZvv2g1Xqzc2Pb\nBXOELIKd8PnW44wbMADbtm2U7d8PzTy4bIkrMTUnbpsNR2Ym7uJi0GgwxMV51wpXe2+sFjvL/rUN\nm8VOfPcILp/UwzucoylLK0zjvu/uI82SRpAhiAFtB9CnTR/6xvSlZ3RPzPrarYV9rkaMGMGIMyRL\ntUanxlyaiHIHggYydFUnUgfJGBenyH2k6aqr90aCy7MINYYSbAim2FFMoVbr0y1e+scf4HJhSk72\ndnlXBJ5hbi0fbT7K+PIl2hzNeDJ1g8GztJvVaiUgIOAse4u65iopwZmd7QkqAY1WiyGhA7qQYO8+\nVqvns1nxXtlLnXzz8nYKs21EJwQz+q5e6AxNf7zgjyd+5JH1j1BkLyI5Ipl/X/Zvbw9CY3vqqaca\nuwhNjjdbXGckzGkEA2RoKiZSPzXXZc/2ni7zvSeLsDvdGPVN/7Mo6pbcR5q+0+8jtVXj4HL+/PlM\nmzbNZ/uCBQt47LHHzqkwTVVsUCwHCw5yQq/DkucEdN5uce94yz69vfuHRHmei0TLvswi0rtEYATs\n6Ucbuuh1RqvVEhkZSWZmJgCBgYHNomu1OVIUBVwu3HY7it2Ou6gIt618YmqNBl14OPrwcJwGA86y\nMhRFwWq1kpmZSWRkJFqtFqfDxcr/7CLrSBGh0QGMu7cPRnPT/i6pKAr/3ftfFmxegEtxcVnCZTw7\n5FkCDYGNXbQqrFYrX3/9Nenp6d51v4Na8VhqfaVs8RCnzhNceidSP9VyGRpgoFN0EIdzStifWeRt\nyRSth9xHmi61+8i5qPHdZt68earB5fz581tscBkXHOcJLnUGLBbPH0JFcFlaHlwG9Orl3b+i5TKq\nfKanr3K0/AWa/TKQbcpXe6moGMS5U9xuFIcDHA4UpxOl/F9O75rQaNAGBaENDkZTVARFvsvoVSzJ\n6ihzsfyVHRzbm485xMCV9/X1TpvVVFnsFv7x6z/4KvUrAP7W62/c2+9etJqm1bq1f/9+RowYgc1m\nIzExkfT0dEwmE2vXrqVbt26NXbxGYfCOuTQRUKZgCDJQ6LJh02gwVwouwdM1fjinhF3HCyW4bKXk\nPtK0VdxHzlW1g0u32+2zDm6FvXv3nnMTalPWLqh83CUxuN1aAkON3grVOw1R71Mtl4GhRk/3o8ON\nQYGPDtn4i9GIKzcXV3EJuuDm2cqh0Who27YtMTExOByOxi5Os+Q4mYH199+w/r6Vsl27cObmep/T\nlD8AtEFBGOLjMXZIwNSlCyEpKeiCg1XPCZ4uDK1Wi93m5OuXt3PyYCHmUCNXP9CX8LZNq+XvdD8c\n/4GnfnyKLGsWJp2J2X+azdiksY1dLFVTp07l2muvZeHChej1elwuF4899hhTp05l+fLljV28RqH3\nZosbcZeU0Da+LceKj5Gh19GpUrc4QK/2oSzbfoKdxwu5sTEKKxqd3Eearor7SF2odnCp1+u9zdd6\nve9h9913X50UqCmqGO+V5Y7FzKlWS2deHo5jx9CYzZi6dPHur9FoCIkMoCDTyqC2YWzIKqQ0ph0B\nx4/gOJqO7rzzGuNl1BmtVovJ1LRbwpqSskOHyX9vKcWbNuE4UrX1WhcYiKlrFwKSkzF1TcaU3BVj\nUhL6mJgadxeVWR0s+/d2Mg9bCAo3cfWDfYmIbbpfZEocJSzcvJBPD3wKQO+Y3sy9ZC6dwjo1csn8\n27x5M59++qm3DtTpdMydO5cOHVrOZPQ15W251Jlwl2QTGxTrCS51OjpZToLbDeU3rPPjJKlHeMh9\npGWrdnD5/fffoygKY8aMYcWKFd7tWq2W2NhYunbtWu2LTps2jW+++YYjR44QFBTEsGHDvIvA+3Pg\nwAEeeughfvrpJ9xuNxdeeCHPP/88vSu1GNaXipZLi6s8uIzy/EFUjLcM6NkDzWkBd2i0J7gcmRjF\nhqxCDpsiOI8j2I+kE9DMg0tRPW67ndzXXiN3yauerm9AGxJC0MCLCfrTnwi8eCDGjolo6uCboq3Y\nzleLtpFztJiQyACuntqvylysTUmps5TVR1bz8taXOVFyAoPWwL397mVSj0notE17pS+TyURRUVGV\nZISioqJWfZOsvEKPu7jEu/BERmAYlGaBNQeCPd1sPcu7wvdkFOFwuTHomtawByFE3ah2cDl06FAA\n9u3bd8YgsDo0Gg1vv/02vXr1wmq1MmXKFK688kq2bdvm95gbb7yRpKQkDh8+jNFoZNq0aYwZM4b0\n9PR6XzGjIrgsc3taMMP0mcD5lO3dB4C5Z0+fYyqSerqHBBJs0rNHE8p5gP1o8x53KarHumULJ2c+\nhf3QIQDC/vxnIq6/joDzz/f5InKuco8Xs/I/uyjItBIWY+bqqf0IiWx6mZipBal8sv8Tvkr9Covd\nAkCPqB48c8kzdInocpajm4bRo0dz4403smjRIpKSkkhNTeXhhx9mzJgxjV20RlN5nkt3cTGxQZ6W\n5wxzGJDlyRgvDy7DzAYSowI5kmtl78kimUxdiBaqxne5zZs3U1JSQvfu3UlNTeW2225Dr9fzxhtv\nkJRUvVU/nn32We/PRqORxx57jH79+pGfn09E+Zx9pzt48CAzZ84kJCQE8KyU8eKLL5KdnU3btm19\n9nc4HDidTu//bRXZtrXgnQbF7qkgQ4u3AJfjOH4MAINKl1holOfmXlZg58o+cZzYE+UpVzNP6hFn\n5iouJmvBQgo+/hgAY8eOxM6ZTdBFF9X5tRRFYfeG4/zwv4O4nG4i44K46v6+BIU3jVY0p9vJntw9\nbMncwrqj6/g963fvcz2jenJd8nVc1eUqDNrmM1574cKFTJw4kd69T03WPmbMGBYsWNDIJWs8p6Yi\nMuEuKSE20NNymemdSP0ExPXz7n9Rx0iO5Fr54WCOBJdCtFA1Di6nT5/OmjVrvD8nJCRgNpt54IEH\nWLZsWa0KsXr1ahITE/0GlgAzZsxg6dKlDB06FKPRyKuvvsoll1yiGlgCPPPMM8yePbtW5TldtDka\ng9aAqTQcgNDs1eCciuO4Z7C6MT7e55iKcZmWXBu3XN2RJ5ZFA2BLk+CypSrdt49j99/vGVdpMBD9\nt78Rddf/oa2HLtPSEgffv7eXQ1uzAehxSTsGX5/sHf/WWApKC/js4Gf8mvErWzO3YnVavc8F6gMZ\nmzSWvyT/hR5RPRqxlLXjcrnYt28fn376KXl5eRw9epSEhARiY2Mbu2iNqvJURO7C4lPd4hXzWJ6W\nMT6sWxv+99sx1u/PYvKwzg1aViGEh93m5PD2bAKCjSSeH1Xn569xcHny5EkSEhJQFIW1a9eSmppK\nQEBArbvK165dy+zZs/n000/PuF9KSgqff/45kZGRaDQaOnbsyDfffON3/xkzZvD3v//d+3+bzUZU\nVO1+gVqNltigWEJLPQFimCsVDn2P/ZgnuDS0913DOKS85dKSW0qPuFBiunWGn8CSerhWZRBNW8Hn\nX5AxezZKaSmm7t1p/9zCKkledcXtcpP+Rx7r/7uP4rwyDAE6hk/oTtcB6l+yGorD5eCDvR/w6o5X\nKbKfmiapQ0gHBsQOoH9sf4YnDCfI0HQTjM5Gp9MxfPhwiouLiY2NbfVBZYWKLzRunQlXSaUxl/hO\npA4wuEs0Wg1sScunuMxJsKlpz78qREvhtLs4siuXA5szSduVi8vhJq5reNMILo1GI1arlT/++IOE\nhATCw8NxuVyUlZXV+OJff/01EydO5L333uOKK67wu19BQQHDhw9n8uTJrF27Fr1ez9tvv80ll1zC\nzp07iYvzXb3DYDDU6fRI7Y0JmJ3BaLQuArX5KDs/w3HypOdaKsFlxVyXRbmlAFw16gJc72gx5OXg\nKi1FJ6sTtAjusjIyn5nn7QYP+/OfiZ35JNo6fH/dboUT+/M5+FsWqVuzKS32JAe1SQxh1F/Pb9TE\nHUVR+C79O57/7XmOFnkWCRjYbiDXdLmG/m370zaocYPeuta1a1dOnjypWue0Vt6EHu1pCT0qE6kD\nhAUa6Nchgt+O5LPpYA4pPSVIF6K+lNmcHP0jj8M7sjm8PQdHqcv7XFzXcLoOaIuiKHU+mX2Ng8sR\nI0Zwww03kJubyzXXXAN4knxq+i3+/fffZ8qUKXz88cekpKSccd/U1FTy8/N55JFHvCth3HXXXTz+\n+ONs3LiRG264oaYvo8bauz2D1LVhTjQacGxdAY4gdNHRaM2+N/eAIAN6kw67zUlpiYNRfdqzKTiS\ntkU5/PLjTv502YB6L7OoX2WHDnPi0Ucp3b0bjdFI7MwnCf/LX875vIpbIe9kCRmHCslILeTIH3nY\nLHbv8+FtA+k+KJa+Izqga8Ql9NIt6Tz141NsydwCQKewTjzS/xGGtB/SYlfduP/++7nhhht46qmn\n6NixY5VkwuqOOW9p9MZTyz+6SkoIMYRg1pspcdoo0mgIOS24BBiaHMNvR/JZvz9bgksh6lhhtpXD\n23NI25nLyQMFuN2n5iVvkxhCl/5t6dq/DcER9dfIVePgcsmSJSxcuBCj0cijjz4KeIK/e++9t9rn\neOmll3jyySf5+uuvGTJkyFn37969O9HR0bzwwgtMnz4dvV7PO++8Q1FREX369KnpS6iVGKenpcIZ\nUgaRvXHs2AsEYWiv3oKh0WgIjQog70QJRenHiAk4ij4+HvbksO67rRJcNmOK00num2+R89JLKHY7\nhoQE4he9SECPmo0jVBSF0mIHBZlW8jOtFGRayT1eTMYhC3abs8q+oTFmul7Yhi792xLVPqjRg7dv\n07/liR+eoNhRTLgpnHv63sO1ydc2q+Sc2vjrX/8KwKhRo7zvQcW3fpfLdaZDWyytTotWr8Ht1OJW\ntFBWRtvAtqRZ0sjQ6wk5rVscPMHlP9fsZ/2+7HppNRGitSmzOTm4JZN9P2dwMvXUPLIarYa4ruF0\n7BVNpz7RDbaoRo2Dy7CwMObOnVtl25VXXlmjc9x3333o9XpGjx5dZfuKFSu8wWZwcDCvvvoqEyZM\nICgoiOXLl/P444/Tvn17XC4XXbp04aOPPqJ79+41fQm1El7WhgLgCAcpOW8cjp8OAGBs75vMA4Dl\nBKHaTPIIpvCdu4kI+JnEmMso3gNZ+1JJz7XSIappr5wifJXu2cPJGU9Q+scfgKcbvO20v6MLDfV7\njOJWsOSWkp9RQv5Jq+ffjBLyM6yUWZ2qxwRHmmiXFEZs5zDadQknOj64SdyAnW4n//r9X7y1+y0A\nRnQYwaw/zSLM1Dqyfg8fljHTagxGHWVOZ/lcl56kHk9wqaOr5YRnOdNKn99e7cOIDDJyvMBGanYJ\nXdr4X31KCKGutMTByYMFHNiSxaFt2bgcbsAzPVin3tF06h1NQo9IAoIa/kt/rUZS//e//+Wtt94i\nIyODHTt2sHHjxird5GejnL5usori4uIq/x8wYABr166tTXHrRBtHPAVkcVSXyiy7hsdKPOOMDO2q\njinLOLCSD36YzQlrJuaym4nlMuaGJrMj7jivpm0nGBPtinNY+nMaM8Y2v4zZ1spttZLzn/+Q+/ob\n4HRiiIsjds4cggdfUmU/e6mTwiwb2UeLyDlWTE75v5XHuVRmCNAR0TaQ8PJHRGwQsUmh9dpdUVvZ\n1mwe3fAov2X+hk6jY+qFU7m1x61NIuhtCA6Hg7Fjx7Jly5Yqk6gLT1JPmdWJS1s+HVHFuMuAYLDl\ngC0fAiO9+2u1Gi7tGs0X206wfn+2BJdCnIWiKBRm2TiZWsDJVM+QqfwMa5V92ncLp/ugdiT1jcEY\n0LiJcjW++r///W8WLlzI3XffzT/+8Q/As9D53//+92oHl81RcbZnzFtpUBErT2znaiWKKBwYDKea\nnw/++AJ37XmNLL0OgoPoHVhILBBgj8Kh0fBuOxNTgHYluTy3+ShTRyYTaJRMyaZMsdvJ/+QTcl55\nBVd2Dmg0REycSJupD1JQCL+vOkJ+ppXCLCuFWTaslcZGVhYYZiSyXRARsUFExAYS0c7zb2CosVkE\nZ+uPrmfWT7PIseUQY45h4dCFXNj2wsYuVoMyGAzk5+fX+6INzVHl9cVdVVbpCYX8HE/GeKXgEmBo\ntxi+2HaCdfuyuHNw013yU4jGoCiesfcnDxRw/EABJw4UYC2sen/R6bW06RhCwnmRdLs41jsFot9z\nOhyUHT5M2f4DlO3fT9m+fZiSk2nz8EN1Xv4aRzYvvfQSK1eupEePHixcuBDwjIncv39/nReusSlO\np3c1lcIszzeEOy+ZyPQd28kschIFGGx/gMvJtm+mcE/OD1j0Oi4wRHBD/wfRHY/l4JFSRkddiTMm\nlQM5WwEX3UszsJQ6+WLrCW6+uPWuSVwdruJiXPn5GGJj0dRh9v/ZKG43lm++Iftf/8Zx1JMFHdCr\nF4H3PMqx0hjW/XM3uceLfY7T6jWERZuJig8mJiGE6IRgouNDCAw1NljZ61JBaQH/2PwPvj70NQAD\nYgew4NIFRJujG7lkjePOO+9k4cKFzJgx45zOoygKs2bN4rXXXqOwsJALL7yQxYsXc/755/vsm56e\nTo/TxvNWLBKRmZlJdHQ069atY/jw4d6ER4Dw8HCOHTt2TuWsrlPrixs9LZcR5cGlsfxmV5AOsb2q\nHDOkawwAvxzOw2Z3YTY27aU/hahvVoudo3vySP8jl6N78qskcgKYQwy06xJOu86eIVMxCSFnTOpU\nXC5s27dTvH4DJRs3UnrgAJQvRVzBmZdXL6+lxsFldna2t6Kr3OJSna7u5qLou+/JmDOHoEv+RNwz\nz+Aoc1FSaEer1zC2Two77b8TXbgUgLLCzfz+XgoPuzMo1ekYHtqFhVd9iElnIttcxEE2Y813Mnfo\nQm7IGAPYCC4uJMBdyjs/pnHTRQnNouWqISiKguPYMWxbt2L9/XdsW7dRtn+/Z7yWToehfXuMHTpg\n7NABU/duhIwYgT4y8uwnrkkZ7HYsK1aQ+/oblB3wjKvVdjmPonGT2V0QQeaHFsAzj6MpUE+nvjG0\n7RhKWBszYTFmgiMC0Gpbxvu55sga5v48l7zSPAJ0Adx/wf3c3P3mJr/+d336/vvv+eWXX1iyZAmJ\niYlVWjE3bNhQ7fM899xzvPnmm6xatYouXbowZ84cUlJS2LdvH8HBVbuIO3To4DNM6M9//jN2u53o\n6KpBfkFBAfo6Xl60Ok5ljJtwlxQTG18RXJYvIJCxC7qPrXJMdLCJXu3D2Hm8kJ8P5zK8W5sGLbMQ\njc1R5uLkwQKO7cvn6J48co5W/TsPDDPSvms4cckRxHUNJyI28KzxgrusjOJvv6Xo2+8o+eEHXIWF\nVZ43JCRg6pZMQHIypuRkTN261fnrgloEl8nJyaxbt45hw4Z5t61fv57zzjuvLsvVqHShITgzMrxr\nhxdme1otw6LNaLUaHu7zAActS3EDUzoEsU/JxKXVMr7dJcwc8RJ6refXWrEEpCXHRtvAtky7dDY5\nrzxGdBHcpfuERZkT+eVwHgOT6n4C0+amdN9+Mp6eg23Lb1WfMBjQR0bizMrCkZ6OIz2dkvKnMmbP\nIejiiwkdM5qQESPQhYfX+vquwkLyP/qY/Pfew5mVhQKUJPUnd+DNHMkx49zmBizegdLJA9qS0COy\nUacCqi9Z1izm/zqfNUc8K3H1b9uf2X+aTYdQaWUfMWIEI0aMOOfzLF68mEceeYRevTyteU8//TSv\nv/46n3/+ObfccssZjz1+/DjLli3jq6++qvX163J5XKjUculdXzwRqDSResYO1eOGJsew83gh6/dl\nS3ApWjy3WyHzsIWjf+RybF8+mYctuF2nGuZ0Bi3tu4aT0COShB6RRLar/swgZQcPUvC//1H4xZdV\nAkpDhw4EDx1K8KWXEnhBP7RBDbOQRY2Dy5kzZzJ+/HimTJmC3W5n7ty5/Pvf/2bp0qX1Ub5GYUpO\nBqDswAEUp5OCTE/FG9bGk92tyclHq0BeiIY/gjzdnXd2vZ4HBj1R5YNgCjRgCtRTZnVSWuxgdJcr\n+b7N01BURI52K+1co/ho89FWHVy6iovJ+fdL5L33Hm63gq1NVxw9/4StbVeKjTEUlOiwFTnQG3UY\ndAo6nOhcpeiKcjGcPETA0RzMiz4j4Pm3ierZgchLBxF86RCMHTue/doFBZRs3kzJD5so/OorFJuN\nMmMouf2u52TcYApLdHACwLOKQY/BcST1i/FOGt3SON1OPtz7IS9te4kSRwmB+kAeuvAhrut2HVpN\nywuia+Opp54653MUFhaSlpbGRZXWm9fr9fTr14+tW7eeNbh89dVX6dChg+rCE506dcJut3P++ecz\nc+ZMhg4dqnqOulweFypNpK4z4czJ9Y65zHQWowCajJ2qxw3rFsNL3x9kw/7sOiuLEE2JrchO+u5c\njuzKJX1PHmUlp77UaTSeeSfju0cQ3y2Sdl3CvOOXq8OZnU3RunUUfv4Ftt9/924P6NGDsKuvInjo\n0GrdC+tDjYPLMWPG8Nlnn/Hiiy/SoUMHvvvuO/7zn/8watSo+ihfo9CFhmKIi8Nx4gT2tDQKsz2/\nprA2nvFDjvJxTCGJnelotnFjj4lMOP821XOFRAVQZi3GklOKOcRIUu/hWFO/wlasY2Dif1i+cyaz\nrupJmLllzw94OkVRyP5iOQf/8xl5RFHY616KIjrjUnSgABkAzvIHOO1uSr1HB4CmPcT5rowU8G0O\nIV9+SrjOQpvkGNp2b0uAqXwIh0YLKJTt30/JL79Stm8fKApujZ6c6F5kDRhNtq49igKUeMa3dB/U\njh6XxDXY3GCNZUf2Dub+PJc9eXsAGJ4wnGkXTSMuWFaiOZ3FYuHrr7/m2LFjPPbYY2RmZqIoSrUX\nkrBYLIBnTGRlERER3uf8cTgcvP7660ydOrXKF9nu3buzbds2evbsic1m49VXXyUlJYWff/6Zvn37\n+pynLpfHBc/UJ+AZc+nMyiLIEESIIYQiRxH5RjORBUfAVgDmqq+5b0I4IQF6DuWUyPRsosUoyivl\n0NZsUn/P4uShQs89rVxojJnEnlHEd4+gfXI4psDq3/sVt5vSP/ZQvG4dxevWUbprl/c5bWAgoVde\nSfh112E+v2ddvpxaqdXgnOHDhzN8+PC6LkuTYureHceJE5Tu20dhrmfljfDyZfYcxz2TAkclncey\n6xec8TyhUWZyjhZjybXRtlMoQR07YwVi8xU+6FdEsmUTX23vwS0DE+v19dQXR5mLwmwblmwbhdk2\nCnNsFOeV4na5qTwMV3Er2Etd2EudOEpdlFmsuDBD4oRKO3n+8KLbBxMZF0RkXBBRccEER5hwOtw4\nypw4ylw4ytzYiuwU5ZZSlFuKJdeGJauYgkwbpeZoSs3RZAMHcoAfwFSWT0jRUYKLjxFSfBRFo6Mk\nsCPWHn/CFtWREl0ELsXTMqfVaOjYO4rug9qReH5Ui+z2rizHlsPL217m0/2foqAQFxTH4xc/zrCE\nYY1dtCZp27ZtpKSkEBYWxokTJ3jsscfYunUrr7/+Op988km1zhFaPidqQUFBle35+fm0V1lKtrLP\nP/+c/Px87rjjjirbK691HhISwiOPPMLXX3/Nxx9/rBpc1vXyuAZvtrgJZ1YWAG2D2lJUUERGTFci\nj++AzF3QcXCV4/Q6LUO6RrN8Zwbr92dxy6COdVYmIRpSSWEZ+3/JJHVrFpmHT31J1Oo1tE+OILFn\nFInnR9WoocJdVkbprl3eHATb1q248vO9z2tMJoIGDiRk5AhCR49usC7v6qhxcBkaGqr67ToyMpK8\neso6agwB3btR/N13lO3dR4HiqbQrusXt5S2Xxng/E6hXEnLaGuPGRM+4tQssgSzVlBEZsY6PNqc0\nq+CyMNvG4e2edUpPHiygdrlcerRuB1EREH9REu26hBObFIY5RD2r2pN0euaMa7fLTX6GlazDBZzc\ndoTs1DzybSbKTBGUmSLIie6tfqACUfHBnDeoHckXtfVbhpbE6rDy9u63eXv329icNvQaPZN6TuL/\nev8fgQZpPfLnwQcf5KmnnmLKlClEREQAcMkll3hX7qmOsLAwOnbsyObNmxk0aBAATqeTbdu2nbVL\nfPHixVx//fXVamXUarUNlmiprzTmsiK4jA2K5WDBQTIi4ulxfAdk7PQJLsEz7tITXGZLcCmaFUVR\nOL4vn10bjnN4W453mUW9QUtiryg692tDYq+oGs05WZGQU/DZ51h/+QXltOxufdu2BA8bRvCwoQQN\nHKi6/HRTUOPgsiVlhZ+JKdmTQVW6by+F4Z6xUae6xT0tlwZ/q/NUUjmpBzyZWgDtrcFAGftD8sk+\nkMnuE4X0jGu6q5zYiuzsXHeMQ9uyyT1e4t2u1Wo8mdJtzIRFmwmNMRMaFeBp8SvvtdOgQaMFvR7y\nFz1P2fpvMZi0dFzyEkEXXlBnZdTqtES1DyaqfTDnDfa8N263QmGWlZyjxWQfLSL3WDFancYz32Q7\nz6Tl4W0DG2UFg8bgcDv4bP9nvLL9FXJLcwEYFj+MqRdOJSm8da6NXRM7d+7ku+++A07NlhESEkJR\nUVGNzjNlyhSee+45LrvsMjp37szcuXMxGAyMHz/e7zF//PEH69ev5+eff/Z5btWqVSQnJ5OYmEhp\naSmvvfYamzZtYsGCM/es1BVDpfXFndme8ZPeuS6DywPhk+pJPZcme6Yk+jE1lzKnC5O+ZY5pFi1H\nmdXB3p8y2LXhOAWZnoRfjVZDUt8Yki9qS4eeUd4kt+pQFIXSP/6g8NPPKPzmG9wVCTkaDabkZMz9\n+hF4QT/MF1yAIT6+WcwwU+3gcubMmYBnzE/FzxX2799PYmLzaXmrjoDunuCy5EAa1m52dHotIeWr\nplR0ixvO0oUFnm5xqNRy2cHTcqnJKqSHE/7QazkvdA0fb+7O7KubXnBpL3Wybe1Rtq1Jx1Hmyfw0\nBuhIPD+KTn1j6NAzCpP57B8jxW7n+MMPw5q1mIOD6fD6q5gbYF14rbY8kIwNouuAtmc/oIUqLCvk\ni4Nf8OHeDzlW7Gl57x3dm4f6P9TqJkM/FxEREWRmZtKuXTvvtvT09GqPt6zwyCOPUFRUxIgRI7BY\nLPTv35+VK1cSHBzsndey8nK4AK+88goXXHABF198sc/5fv31V/72t7+Rm5uL2WymV69erFixgv79\n+9f+xdZA5TGXjpOe9cJjA8uDS1N5y4qfpJ52YWbOaxfKnpMW1u3LJqVnzX6XQjSU3OPF7Fh3jP2/\nZOC0e5ZaDAoz0mNIe3pcEkdwhKlG51MUheJ168hZsoTS7ae+fAX06EHYtX8mdMwY9OU9JM1NtYPL\njRs3Ap7um4qfwdP1EhsbyxtvvFH3pWtEhg4d0AQGYinytNSGxpjRlM9fWJHQY6hOt3hFy2V5cKkL\nCUEXGYkrL4+/GPsxx70TXdhWPt96nMfHnEeAoWl8a3c53OzacJwtK9IoLfY0yyeeH0Xv4fG07xZR\no7GIbrud4w88SPH336MNDaXDG69j7tXr7Ae2QIqisDVrK1+lfsW2rG0EGYIINYUSZgojzBhGkCEI\nvVaPVqNFp9Gh1WgJNgTTJaILXSO6Emr0v4a5mj25e/hw34csP7ScUpfnM5gYmsgDFzzAiA4jmsU3\n4Kbk+uuvZ9KkSbz88ssAHDt2jPvuu48JEyac5ciqNBoNc+bMYc6cOT7Pqc1rCZ7V0fx58sknefLJ\nJ2tUhrrkHXNpDESxWqsuAYkL0ED2HnCWgd73BnxN3zj2nLTw2e/HJLgUTYrL5SZtew47vj/GiQMF\n3u3x3SPoNTSejr2j0OpqNjZfcbspWr2GnCVLKNu7FwBtWBhhV11F+J/HE9ACpnasdnD5/fffAzB5\n8mReeeWVeitQU6HRagno2pWME55KM7y8S9xtt3vGFOl0GGLP3hJWEVwW5ZaiuBU0Wg3GhARseXkM\njR6DIXMHhwKt2JwZrNqdwdV9z94aWt9Ophay9q3dWHI8wUhsUiiDxncmrmvtvkFlzJ7tCSzDwujw\n5huYezZ+JltDO1F8gmWpy/gq9SvSi9JrfZ7YoFiSI5LpENKBMFMYIcYQQo2hhBhDsLvsHC8+7n0c\nKzpGmiXNe+ygdoO4sfuNDI0f2qonQj8XTz31FHfddRfdyiceTkxM5JprrqmSed0aVXQBKoGeLz/O\nrKxT0xGV5kJUZ8g9CNl7oZ1vj8X4fu35x8q9fLc3i/wSOxFBLX/cs2ja8jNK2LPpJHt/PomtyNPA\nYjDp6D4wlvOHxRPZrubJM67CQiwrVpK3dCn21FQA9DExRN55BxHXX482sOWMd6/xmMvWEFhWMHXr\nhi3fM/Yh7LRMcUNsrHdpyDMxBugxhxiwFTmwWuwEhZswJHbAtn07RquZ4S4Dq/VOksJX8dHmbo0a\nXCqKwvZvj/LTZ6m43QoR7YIYdE0SHXtH17qFy7J6NYWffobGaGx1gaXD7WDd0XV8sv8TfjrxE0r5\nfBRtzG0Y13kcl3e4HLfixmK3UFhWiMVuochehFtx41Jc3n8LSgs4kH/AkxxRkkFGSUa1yxBiCOHq\nLldzQ7cb6BjWsX5e6P+3d97hUZXp/76nJNOSmUnvvVESQkdAikizYAHr2ve36qprXXXtomvZta9f\nV9eyiq69FxQp0kUgQCCUEEJCeu+TzEymnd8fJ4VAAokESOC9r2uugTll3pNJ3vmc532ez3MaodFo\nWLRoES+99BL79+8nNDSU6GhhLt/RW1wndxdyVVUROkxOHahoqYDQEbK4rNjZrbgMNmqZkhTEmn3V\nfL+jjOsmxZ6wsQsE7ThsLvIyq8neUEb5/k4jcr9QPanTIhhyRhjevUgDOxjJ6aT5119p/PY7mleu\nRHLILR3VYWEE3PgnzAsWoNT0bTl9MHDi+4QNIjRDUrDuOAB0Voo7S8uA3i2Jt+Prr8VmcdJUa8dg\n1uAdJX8ZOYqKuWjoNJZV/oLdlM2GvJqT5vXWanOx8v1s8rfLyfgjZ0ZxxsUJqPoY7j8YZ1UVFY/J\nptPB99572gjLYksxX+d+zTe533QUzXgrvTk7+mwuTLyQM8LO+F2RQ7fHTbGlmH31+yhrLsPitGBx\nWGhyNNHU2oRaqSbCJ4IInwjCfcKJ8IkgxhiDVq3t70s87fH39+9ign660x659HjLc5erupoQ/UhA\n7vjkjp2FavfXclHPqO7PMX90BGv2VfPVthIhLgUnDIfdRcHOGvZvqaJodx1ul5xLqdaoSBobzLDJ\n4YTEGfsUYJFcLqxbtmBZtpympUtx18rfAygUGCZNxHTRRRjnzkXhfepG6IW4PALaIUOw6eXKaPMh\nBuq9KeZpxxioo6rQQlONjbAEU4cdkaOokEnX3Erwd0up8gatLpcvtibx19nHp9dnT1QXW/j5rV00\nVdvw1qo4+7phxI8KOqZzSpJE+UMP425owDB5Mn5X9y0nbbBgdVrZU7uH3bW72Vmzk101uyhtLu3Y\nnmBK4JLkS5iXMA+T5tgKtlRKFbGmWBGB7A2WStjxMTQUw/kvnezRnPJ4adqqxb3kedJVVYVJrcVP\n40d9az21AXEEQ49FPQBzhofiq1GTVdJIbqWFpBDfEzBywemI2+mhcFct+zZXULCrFrdTFpQoIDzJ\nTMoZoSSOCe6ThZDkdNKyYQNNy5bR/MtK3Af52HrHx2O66CJM887H66BiwFMZIS6PgCY5BatOzo8z\n+st3GM7S9mKevolLONyOyFlUjCowmQvw4R3shPv9whdbRnDXzGRUyhNTaNFQaeXr57bicnoIjPJh\n7k2pmIKOPXJa/9HHtKxfj8pkIuyZZ1AoTx0z8lpbLSuLV7KicAWbyzfjklxdtuvUOmZGz+TSlEsZ\nGTRSFM2cKNxOyF0GmR/CvqUgtRWSTLkHTL1faRD0nY5lcZU8Tx7sdVnfWk+Fb2CnuPR4oJv5QOul\n4rwRYXyaUcxX20p54JwhJ2r4gtMAySNRntdAzuZK8rZW0WrtnLfDEkwkjg0mYVQwBnPflqidpaXU\nf/EFDV99hbu6puN179hYfGfPxnfWLLSpw0+77wEhLo+AW6XB6W1E6XbgVV8KwSkdOZfefYhctvtj\nNlbJ4tK7zbbJUVSEJElcGHc+7xR/SaNvEbXljazfX8O05GOLHPaW377Jw+X0EJceyOz/N7xPfU17\nonX/fqqefx6A0CefxCsk+JjPebKptlbzS9EvLC9czpbKLXgk+U5XpVAx1H8owwOHkxqQSmpgKgnm\nBNRK8ad1QvB4oHQr7PkWdn4BzZXy60o1pJwPo64BH1F9fLxpXxZ3KWS/WGebuIz0jSS7LpsCZyMj\nfELkz6ehAPy791RdMCaSTzOK+SazhPvmpJywm2zBqYnHI1G+v4H87dXkZ1bTXN/asS0g0oeU8aEk\njg3G179vqUOSy0Xz2nXUf/YpLWvX0d5JxDshAeO552CcPRvvxMTTTlAejPgGPAINVbI5qs5WjWOf\nC11KCo52A/U+5Fy2FwM1VsvnU/n5oTQY8FgsuBsaiB11HaNyPyRTq0VnzOTHrIQTIi7b/+jU3kqm\n/SGlX4Sl5HBQev/9SK2tmC6+GOOcwdtzvqKlgl+KfmFZwTIyqzI7CnLUSjWTwyczK2YWZ0WdhVlr\nPrkDPd3wuKF4E+z5HrK/h6bONAQCkmD0NZB+JfgM/puawUL73OGW2kRmlZy7PSxgGMsLl7OrZhcX\nhI6A/cvl6GUP4nJsjB/R/nqK6qxsyKthStKJuckWnDo47C5K9zV0dJFrt9ID8PHTkDw+lOTxIQRE\n+PT53M7KKhq+/IKGL77EVSEXViq8vPCdOxe/yy9DN2bMaS0oD0aIyyPQHmnU2appzamEeef3yUC9\nnfZl5sZq+XwKhQKvmGha92TjLCpCnZ7ORepAMmnG37yOn3edyVMXpeF9HPtaS5LEhq/3AzByVjQG\nU/9Uq9W8+Rate7Lxiowk5OGH+uWcPWFxWNhauZXNFZvJqMigyloldwNSKFAidwjSq/X4a/0J0AXI\nz9oANGoNkiR1iEVJkrC6rDS1NnVUbNfYasipz+l4L2+lN5MiJjE7ZjbToqb12W9ScIzU5UP+avlx\nYC3YOvvrYoyAoRfA8IshajyIyf2E0xG5dMs/+/YuPcMD5CK+3TW7ITStU1wOu7Db8ygUCuaPjuCV\nFbl8tbVEiEvBUZE8EtXFFoqz6yjeU0d5XiMed2cnQVOQjviRQcSPCiIk1tjhV93r87vdtPy2kYbP\nPsOyciW45WYiXjHR+F1+BaaLLxq0RufHEyEuj0B75FJvq8a+twaP1Yq7thaFlxfq4N5HRQwmb9Re\nSmwWJw6bC2+dGu/oGFr3ZOMoKECXns6clEv5R+5/adLX0uyuZP3+amYMOX4dZfK3V1OR34TO14tR\ns/rHSsVRVETt228DEPbM06h8+n5neDRqbDV8te8rVhevZk/dno7l6SNxsNdjX9CqtEyJnMKsmFlM\njZyKwavvvmaC34mjRRaR+5ZC3kpoKOy63S8Whs6DYRdB+Ohuc/gEJ452E3WXS/5Sd1VVIUkSwwNl\ncbm3bi/O9Avxgh7bQLYzf1Qkr6zI5efdFVjsTny1p0drVsHR8XgkGiqsVBdbqC6SHzXFFhx2d8c+\nCgWExBmJSQ0gfmQQ/uGGPkcTPQ4H1o0bsSxfjuWXlbjr6uQNajW+c+bgd8Xl6CdMOKVqCfobIS6P\nQHukUWerwp6zD2dZmw1ReHiffqkUSgXGIB11ZS00VtsIivZFEx+HBWjNl62ODGmXMWPHa/zoY0Bv\nzGRx1ojjJi7dbg+/fSMbuI47L65PFXE9IUkSFU8/jeRwYLrwAgz9aNMiSRLbqrbx6d5PWVG4oqOA\nRq1Qkx6czrjQcYwPHU+8SV5qk5A6IpMtzhbq7HXU2muptdVSZ6/D6W5bJlG09T1HgU6tw6gxYvRu\ne2iMJJmT0HudOqa2A56mMnmpO3cpFKwHt6Nzm84P4qZC/HT54RcnIpQDCKVagUKpkCNGBh+klmY8\nFgtGo5FYYywFTQXsM5gYDkesGAeIDtAzPtafzQV1LNlVwWVjo07INQgGFh63h/oKK1WF7UKyiZqS\n5o62iwfj668lapg/0cP8iUjxQ2vo+w1Jux9l0+IfaV69Gs9BXbK8YqIxX3wxpvnz8epDYOl0RojL\nI9DYFrk0eJpwV9dgy5Inxb4sibdjOkRcescnAODIz2vbIZJZukh+pB6j7xaW756L3ek+Lu0g96wr\no7HKhilYx7Ap4f1yzuaVK2lZsxaljw/B993XL+d0e9wszl/M+3veJ7c+FwClQsmMqBksSF7A2JCx\nvRJ/CST0y3gExwG3S67w3va+/NwRiVZAxFhIngOJM2XjbdFVaMCiUCjw8lbisLtRhEQg5efgqqpC\nZTQyPHA4BU0F7HbWM9zbByxl0FIDhsAez7dgTASbC+r4amuJEJenCW6nh8rCJspyGyjPbaA8rxFn\nq/uw/Xz9tQRF+xIU7UNglC9B0b6/O61LkiTsO3bQ+P0PNC1Zgru+M91GM2QIvrNm4jtrFpqkJJFL\n2UeEuDwCDW05l34RJqRKsKz8BehbMU877Sbs7UU9mgQ5ytYeuQSYlHQhuv3v0qxroNldw9p91czu\n5z67DruLjB/l95x4jCbp7XhsNiqffgaAoDvvRB3Y85dGb5AkidXFq3k181X2N8h5of5afxYkLeCy\nlMs62soJBiluJ5TvgJyfIPMjaG7rOKT0giHnwZDzZUF5BPEhGHioNSp5eTIoDNrEpSYxkdSAVH7M\n/5FdtXu4LCQVijdCRRYkzOjxXOemhfH497vZdKBOeF6eokgeiZqSZjlXMlvOlezwm2zDGNguJH0J\njjYSFO2L1ufY0iRcdXVYN22iZeMmWn79tcO7GsA7MQHT+fMwnjO3w9VF8PsQ4rIHWq1O7M1O1N5K\njMlRNG6DlvW/Ar8/cgkH2RHFxoJCgaOwEMnpROHlhW7oBZy583WWG/R4+2bx485h/S4uM5cVYbM4\nCY03Ej+yf5Lla956C2dZGZohQ/C78opjOte2ym28su0VMqsyAQg3hHPLyFs4N+5cvFWnbjeDUxK3\nC+yNcvFNUwkUbYLCX6EkA5zWzv0CkmD0tW0V3qKAY7DSnnep8A9GorOoJzUwFYBdtbvkop7ijfLS\n+BHEpa/WiwWjI/loUxFvrs3nhUsPbxkpGHxYmxwU7a6laHctxXvru1RyA/iHGwhPMsuPRHOfPScP\nRXI4aM3Lw743B/uePVgzMmjdu7fLPuqgIIznn4/pgnlohgwREcp+QojLHmiPWpqC9OiShtAISHY7\n0DcD9XY67Yjk8yp1OrzCw3GWluIoLkYTHw+BScxS+LIcNybjFlbsOatfl8btLU62r5BN4SfN7x8P\nLkdBAXXv/BeA0Mce7VW/9e6wOq08tfEpfsj/AQA/jR83jbiJy1IuE6JyoGNrgLJMKNsmP1fsAmsd\ntDb2fExAIsRMhvQrIHqiyJ88BVC3VYxLfnLEud3rMsU/BZVCRV5DHtah56CHoxb1ANw0NZ5PNhfx\nbWYp98xKJtysO15DFxwnJEmipriZgp01FOyspaqwCToLufHx1xA11J+oof5Epvih8z36XC95PLgb\nG3FVV+OuqcFVU4O7oRF3swWPpRlPczNuiwVHQQGteXng7CpgFRoNutGjMEw4A8MZE9CmpaFQiZSb\n/kaIyx5oz7c0BevQDunajtH79yyLd0QuOyM23gnxOEtLac3Lk8UlMDV2Dt4VP2LXVWH11LNqbxXn\npPVPu6gDO2pwOTxEpJgJSzQf8/kkSaLiqaeRnE5MF1+MfvTo33WewqZC7lp1F/sb9qNT67hu+HVc\nN+w6fLz7v9pc0E80lsidcHZ9BTX7ethJATqzXIyjD4SI0RAzSRaTwoPylKM9colZFpftXpc6tY5E\ncyI59Tns1fsyGo5a1AMQE2Dg3LQwFmeV89/1B3j0/GHHaeSC/qTV5qIku47CXbUU7q7F2thZmKdS\nK4lINhOTFkDUUH/MIfoegxyu+npa9+6l9cABHAcKcBw4gKOgAGdFBbhc3R5zGAoF3rGxaIYMQTtk\nCLqR6ehGjUKp6R/rPUHPCHHZA+2RS3OwDk1SmBxZaXPh/z3L4j7+WpQqBS2NDpytbrw0KjTxCbSs\nXYcjLx9myfsZhpzPpANfstqgR+27m8VZKf0mLvO3y5N94pj+qUK3LFtOy/r1KI1Ggu/96+86x8qi\nlTy8/mGanc3EGmN55axXSDCLApwBidsJOUtg2wewfwUdIQiVRl7ujBgt2wKFpYMxDDQmYRF0GtHe\nX1zyNQOdLSBBXhrPqc9hl8fKaIUKanPBYQXvIxfk/XlaAouzyvlkcxG3z0jErBerGAMRS52d/Mxq\nDuyopnx/Ix5PZ3jSYNYQkxZAbGoAkUP8OzxRD8XT2opt2zZaNvxGy4YN2Pfs6fjOPRSl0Yg6MLDj\noTKbUfr6ovL1Qenji9LXB6/wcLTJySgNwkLuZCDEZQ+0F96YgvUoDQa8oqNwFhah0GpRBQT0+XxK\npQJjoI6GSitNNTYCInzwjo8DwHEgv3PH6DOY6VSwGvDx3coveydjdbjQex/bR+WwuyjeUwcKiEs/\n9kIJt8VC5VNPARB0152o+/gzcXvcvLb9Nd7Z+Q4AM6Nn8vfJfxfRyoFIbZ5czb39Y2iRb1BQecuF\nN6OvhdgzQSW8CE932rv0SD4mFHQVl8MDh/NV7lfsqt8LQUOgajeUbpHtpY5AaoSJKUmBrMut4YPf\nCrnj7KTjeQmCPtBQaSUvs4r8zGqqCi0dryuUCsISTcSkBhCTGkhARM8+k676eppXrsKyfDktGzd2\npJ6B3PlGm5qKd3wcmrg4vOPi8I6NxSsyUkQeBwFCXPZA40GRSwBtyhCchUV4RUT87lxFU7AsLhur\nZHGpSZAjdK15B4lLlRfTI85E3bwFt76UVo+FX7KrmJd+bJZBhbtqcbs8hCWa+qUbT/XLL+OqrkaX\nno7fFX0r4vFIHh5c/yBLDixBqVBy1+i7uH749SKReiDhtMPexbB1ERSs63w9aAiMvg5GXA6Gvt9k\nCU5dvLSyuPRofFHRVVymBaYBbZ16UubK4jLrs6OKS4BbpiWwLreGRRsKuHFKPLp+aFMr6DuSJFFX\n1kLetiryMqupK2vp2KbWqIgZHkD8qECihwUc0WfSWVVF8y+/0LRsGdbNGR0db0C2/zFMmoRh4kT0\nY8eg1Ik82+OJ0+PE5rIdl45zQlz2QENVZ+QSQDMkBcuyZb+rmKed9rzLhraoqHdbnqUjPx9JkjrE\nlSnlfCasX8+veh1qnz0szoo/ZnGZt02OOPVHhbh1Wyb1n3wKajWhTz7Z5y4Fr2W+xpIDSzB4GXj1\nrFcZH9Z/huuCY8DtgoK1sOtryP4B7A3y6156GD4fxlwHkeNE8Y2gW3z9tQC0uLwxIleLt89rCeYE\nNCoNRZYiGic8iWndi7D7Ozjn+aMujU9MCCA90sSOkkY+31LMdZNij//FCABwOtxU5DdSkl1PXmZV\nR9AFwFunJm5EIPGjgoge5t8RuT4USZJw5OdjWfELlpW/YN9xUDGXWo1h0iR8Z8/G9+wZqIOEW0R/\n4fQ4qbZWU95STnlLORUtFVS0VFBlraLSWkmVtYpaWy3To6bz6oxX+/39hbjsBnuLk9YWF2qNCr1R\nzvHxnTmT+vc/wHfmzN993kN7jKv9/FD5++Ouq8NVUYFXWFtuZeJMZi5v5Ve9Dq1xO6tyJhxTGzSX\nw03h7loA4kcd2x+v5HBQ8fhjIEkE/PGPaFOS+3T8N7nf8PbOt1EpVLw47UUhLE82tga5yjt7Mez5\nDqw1ndtCR8CY6yHtEtCaTtYIBYOE9pvnpgYXZh8fPM3NeBobUZnNeCm9GOI/hB3VO9hNK5MixkDp\nVtnrNO2SI55XoVDw52kJ3PLRNt5el89VE6JR94M/r+BwHHYXFXmNlOY2ULavgarCpi59urU+XsSn\nBxI/OpjIFD9U6u4/B0mSsO/ahWXZMizLV+AoKOjYptBoOgXlWdNRmc3H96JOEywOC5srNvNb2W9s\nLN9IsaX4qO2RlQolDo/jiPv8XoS47IaOqGWQriOaqE1OJnnTxmM6rym4q9clgHd8HLa6Olrz8zvF\npc7MjIA0/i4VgeEADk8LK7IruXhU36vUAYr21OFqdRMU7Ysx4NiWGWrffY/W3P14RUcTeOstfTp2\nY/lGnvztSQAemvAQkyMmH9NYBH3EWgfl26Fsu2xiXr4D6g903ScgEVIXyJHK4CEnY5SCQcrBN8/q\n4GAczc04q6o6xENqYCo7qnewq3YXk9KvlMXljk+OKi4BZg8PJT7QQH5NCz/uLOfCkb9/BUnQic3i\noGx/A+W5jZTtb6Cm2NKlhkahgKBoX8KTzMSOCCQ80YSyB2EveTzYtu/AsnQpTcuX4Sor79imMpvx\nmT4d35lnY5g0CaVetNU9VhxuB1nVWWRUZLCxfCM7qnfglg7qsY6CYH0woYZQwgxhhOpDCTWEEmII\nIVgfTIg+hEBdIGrl8ZGBQlx2w6H5lv1Fp9dlpx2RJj4B25atcsX45E6x5Z98PmN2vEyGTovaZy+L\nd8T8bnHZXiWeMPrYopaOggJqXn8dgLAnFqLUant9bF5DHvesugeX5OL64ddzWcplxzSWAYXDCtV7\noSobqvZAXT4olKDWyJXUag1ofCAkDSLHgn/88V9a9njkgomi39o8KDOhvuDw/VQaCE2F2CmyqAxN\nG7TL3h6PRHVzKyX1VorrbJTUW2myu3jo3KEne2inBR03z+3iMj9ftiNKllc3hgcMB2BXzS44YyH8\n/CDkrYSmctld4AiolApumhrPA1/v5I3VecwbEY5SOTh/T08mToeb8twGuSvO3npqS5q7bFcoFQTH\nyGIyIlm2rNPoepYJ7YKy6eclWJYuw1VZ2bFNHRyM76xZ+M6ejX7M6N/tgSyQaXG2sLtmN1urtrKl\nYgs7qnfQ6m7t2K5SqBgVPIqJ4ROZHD6Zof5D8TqJhZbi0+6GpHEhhCWYutgp9Ae+AVoUSgXN9a24\nnG7UXqqD2kDmdd05ZS4zNzxNhk6LtzGLtbmjabA6+mzF4XZ5KMiSlzqPJd9SkiTKH1+I5HBguvBC\nDBMn9vrYGlsNt/1yGxanhZnRM7l7zN2/exwDAqcdCtZD7lLIWwW1++niDHw0dH4QMUbOX4ydIgtO\ndT9UP7pdULhezpfMXtzZVrEdtVZe6g4fCWEjZcugoJRBV+nt8UgU1VnJqbSwr8IiP1daKKi14nB1\nXQZSKODe2Sl497B8J+g/9EZv1N5K7M1OPEGyWDzUjgjainr0/nLf+L2LYecXMPmOo57/4tER/OuX\nXPZWWPgms5QFY37fzfbpRlONjQM7aijYWUPZ/gY8rs65SuWlJDTeRHiiibAkM6Fxph6tgtqRXC6s\n27bJRTlLl+Gq6Jxn1OFhGGfPwXf2bHQj0/ucjy+QaXG2cKDxANl12eys3snOmp3kNeQhHfI9k+SX\nxLiQcYwPHc/4sPH4eg+cNqlCXHZDu21Qf6NSKfEN0NJUbaOpxo5/mAHveLli3HFwxTiAfzxn68J5\nFjvePvuweuws3V3B5eOi+/SepfvqabW68A834Bf6+/2+Gj79FOumTajMZoIf+Fuvj3N5XNy75l5K\nm0tJC0zjmSnPoFQMwgnHWieLtn1LIX9V1/aFChUEJkHwMPkRmCRHLt0OcNnB1SofX5YpRxObK2Wf\nyP0rgGdBrYPoM+TK2ZhJ4Bcnm4wfKYIoSdBQJEdKK3fJXXEOrJFbLbZjioakmbL3ZPgoudJbNbj+\n5JtbXeyrtJBd3sSesib2lDeRU2HB6nB3u7+/wZtIPx1Rfnoi/XVE+unx9OCVJ+hfFAoFpiAdtaUt\ntJrkZev2FpAAMcYYfLx8qLJVUWWtIjj9Sllc7vgEJt1+1Ii5Rq3ir7NTuPeLHTy/NIdz08JE5XgP\nVBdZyMusoiCrhtrSzqpu2pa55a44foQmmFD3ogOc22KhZf16LKtW0bxmLZ7Gzu5b6vAwjHPmYpw7\nB+2IEcL1o49UtlSSUZnB7prd5Dfmk9eQR6W18rD91Eo1KX4ppAelMy50HGNCxuCn9TsJI+4dg+ub\n5hTAHKSjqdpGY7UN/zADmjavy9YDBw7bNyTpXEblf0ymVovauIsfdkT0WVzmZR57lbg9O5vKZ/8h\nj+nRR1D79f4X+vXtr7O1ciuBukBenfEqOvUgspZobZYLDnZ+CXm/gOegrhChaZA0B5Jmy5HA3kYe\nJUnublO6BYo2woG1skDMXyU/2lFpwBwFpig5yuOwgrMFHG2PpjJobTr8/IHJMPQCGDpPjkwOkom+\n0eZkf1Uz+6ss5FY2k1vVzP6qZkobbN3uH2LUkBJqJCXEh+QQX1JCfYkP8sFHMzimNEmSWLhwIW+/\n/TaNjY2MGTOG119/ndTU1G73nz59Ohs2bMDbu3Pl4rnnnuPWW2/t+P+XX37JI488QmFhIbGxsTz9\n9NPMnz//uF/LwZiC9NSWtmDXBaGha+RSqVAyPHA4m8o3satmFzOSZoPOX/79r9gJYSOOev75oyJ4\n79cD7C5r4p11+dwufC87cLs87N9axc7VJVQe6JwbvLSyTVBceptNkM/RVyoklwvbzp20/CYbmtu2\n7+jSFcc7Lg6fs87COGe2EJR9pNZWy6byTWRUZpBRkUFhU+Fh+3gpvYgxxpBkTiItKI20wDSGBgxF\noxo8/p6DYyY+hTi0DaQ6LAyFToe7pgZ3YyMq00FVuSnncEHW22RqtXibt7IhbwzVllaCfHv3C+bx\nSBw4xnxLd3MLpXfdjeRwYL70UkznndfrY9eVrOPtnW+jVCh5bupzBOqO3bz9uGOrh9wVkPMj5PwM\nrjZxo1BBwtmyaEuaDabfWVCgUMii0RwFwy+WX2uukr0kD6yF0m3QWCyPo3Z/25J7D+gD5XzJkFQI\nGQ4RYyGob9X7J5oGq4N9lc3kVFrIrbSwv0oWktWW1m7391YpiQ8yMCzcyLAw+TE0zIifYXB3annh\nhRd49913Wbp0KYmJiTz55JPMmTOHnJwcfHy6byRw//3381Rb44JD2bRpE1dffTUfffQRF1xwAd9/\n/z1XXXUV69atY+zYscfzUrpgbJvfWtTmw8QlQGpAaqe4jJ4hF/NsfkuOXvZCXCqVCh4+byh/eHsT\nb6zJ4/LxUQT79j73+1SkpbGV3evK2L22FGuTXPmr0atJGhdCXHogEck9V3W3I7lc2LP3Yt2yBWtG\nBtbNm/E0H5SPqVSiGzsG37Nm4HPWWR1BEcHRcXlcZFVnsb50Pb+W/cqe2j1dthu8DIwOHs3okNEk\nmBKIN8cT4RNx3AptcDnk/Pu6PPn7xScERvR/DYQQlyeYdt/MdjsihVKJJi4O+549tOblox89qnPn\nyHHM9Wj5p8eDXZ+PpK5lya5yrp0Y26v3qshrwGZxYgzUEhDR9843kiRRsXAhjsJCNElJhDz8UK+P\nrWip4MH1DwLwl5F/YVzouD6//wnB45Fb0eUuh30/Q+EGOKjijqgz5C/AYReBz3HyYPMJlotpUhd0\nvtbaLIvMhiLZLsjb0PbwkZ8NgQO6P7fbI3GgppndZU3sLmsiu205u6oHEan1UpIQ5ENisByJbH+O\n8tOdkrYzr7/+Ovfeey9pabK5+N///nfeeecdvvnmG6655po+n+8///kP55xzDgsWyL9DCxYs4MMP\nP+SNN97gv//972H7O51OXAdFomy27iPEfaX95rnFrcOfbsRle95l7W75hfQrZHG58wuY9WSv8n8n\nJQQyc2gwK7KreHl5Ls/OT+uXsQ82Kg40snNVCfu3VnXYBfmHGxhxViTJ40OPmDspSRKtOTk0r12H\nNSMD27ZteFpauuzjHRuLYdJE9BMnYhg/vmvgQ9AjkiRRbCnmt7Lf+K38NzaXb8bi7Oxg5K30ZkzI\nGMaHjWd86HiGBQzrfyHpdkFDoVxcWtsmIuvy5H83FsPBFkWxU4S4PBXorBg/yI4oIQH7nj048vO6\nikulCp+U85lVtJgffA14mbayeEdSr8Vl+5J4wqjg37Vs0fjVVzQtXoxCpyPilZd7XR3udDv565q/\n0tjayOSIyfy/tP/X5/c+Lng88h9Y2fauljyOzj98lGqInQrJ58DQ88HctzSEfkPjA8FD5ccAprnV\nRUFNCwdqWuTn2hbyq1vYW9GE3Xm4x5rOS0VS21J2cogPScGykIww606b6t/GxkYKCgoYP77T41Wt\nVjNq1CgyMzN7FJdvvPEG//73vwkJCeGiiy7ikUce6Yhybt++ncsu6/oFMW7cOL788stuz/X000/z\nxBNP9NMVddI+v1ns8leLs7pncSlJEorw0XIqR80+uXI8eU6v3ueBc4ayKqeazzKKuH5SLCmhA6eQ\n4XjSvvSdtaqEqgJ56VvR1tJ3xIwoIpLNPc71npYWWjZupHn1GprXru1S2Q3gFRONfuxY9GPGYjhj\nAl7hx9a443SioqWCbZXb2FyxmY3lGyltLu2yPc4Ux+TwyUyOmMyYkDH9lx7mdslpJVV75L+hmn1Q\nvU8WlR5n98colGCOkW3nAhLkfPzjgBCXJ5hOr8uD7Ig6KsYPz7sk7RIu2vMpP/ga8DZvZfP+mZQ3\n2ggzHfmXU5Ik8tvzLX+Hcbp93z4qnnoagNDHH+toVdkbXtn2ClnVWYToQ3j2zGdPXgFP3QEo2dKz\nkGzHN1wupEk5BxJngs58ggc68JEkibzqFrLLm9hbIUchs8stPeZEAkSYdQwLNzK8bUl7SKiRSL/T\nR0T2RFOTLArMh5hH+/n5dWw7lGeeeYYhQ4ZgNpvZuXMn119/PQcOHOCzzz7rOGdfzvfwww/zt791\nFubZbDYCAo69nWeHuGyUo/+u6pou3cdC9CEEaAOotddS2FRIrCkW0q+EX56Ql8Z7KS4Tg324akI0\nH/xWyDM/ZfP+H0/dZgwet4fSfQ3s3yr38ba3yKJBo1czbHI4qdMieixAlSQJa0aGHChYuqxL7251\ncDCGqVPwmTQJ3ZixeIUM3JWQgYQkSZQ0l7ClYgtbKrewtXLrYWLSpDExIXQCk8InMTF8IuE+/SDU\nPR6wlENFFhRvhpIMOY3K2dL9/sZICIgH/wRZRPonyILSL6Z/3EmOghCXJxhjgA4UYKm143Z5UKmV\neMe1tYHMyzv8gJjJjFX7EeF0UerViMqQx49Zw/nTlPgjvk9NcTPN9a0YTN6ExPatb6inpYXSu+9B\nstsxXXwx5osu6vWxywuX88GeD1Ar1Lww7YUTW81mrZPzFvNXyRZBDYcnSuMb3mnFEz5K/vcAXl4+\nWbg9EnsrmtiUX8fmA3VsLqijruXwTg7eKiUxAXriAg3EBRqIDTQQG2BgaJhvn22zTheMRvnvsaGh\nocvr9fX1RER0n8s7adKkjn+np6fz8ssvM3PmTGw2GzqdDqPR2O352t/rULy8vPDy6n8LKh9/LUqV\ngpZGB5IpAEVjLe6Gho4iQIVCwYSwCfx04Cd+yP+B20fdLi/J/fIk7P1Jzj/u5d/jnWcn8c22Utbs\nq2btvmqmJp86rQMlj0RZbgO5W6vIz6zCZumMQgVEGEibHknyhFC8eqiWd1ZV0fjtdzR+9RWOws55\nUJeejs/0afhMm4Zm6FBRiNMLJEmixFLClsotZFRkkFGZQUVLV5s3Hy8fRgaPZEzIGCaGTWSI/xBU\nyj44GbRa5N99W738PWark//dVCoHSery5WdXNzfz5hj5eywwRbaWC0yCgKSjtlU93ghxeYJReSnx\n8dPQXNeKpdaOOUR/UOQy//ADlCqUwy/mwpyPeN3PjJdpCz/sGHtUcVmwU/a2jBkRiKIPkSLJ46H0\n/r/hyMvDOyGB0Ecf6fWx2bXZPLz+YQDuGnMXI4NH9vrY34XbJXf5yPtFtvUp3UYXv0mtGaIntolI\nISSPhByZbObX/bX8ur+Gjfm1NNldXfYJ9tUwItLMkFBfhoT5MiTUl9gAwymZE3k8MZlMxMbGkpGR\nwcQ2v1iXy8X27dt7nW+pbPMPlNpslkaOHElGRkaXfbZs2cKoUcdnyavncck2bg2VVhxhCWgaa3FV\nVXVxmLg0+VJ+OvATX+d+zZ9H/BkvU6S8apDzkxzBvPDfvXqvAB8Nt56VyD9/3stTP+7hx4QpeA3i\n30VJkqguspCbUUnulipaGjrzk03BOpLGhpA4Jhj/cEOPotCes4+6d9+l8ccfO6q71cHBmOZfjHnB\nAryjok7ItQxWJEmizl7H7trd7K7Zzc6aneyq2UV9a32X/UwaE2NDxjI2ZCxjQsaQ7Jd8ZDHZxTpu\nt5z7aCmTGwg0lXW/otYd+kBZQEaOg6jx8vMA/U4T4vIkYArS01zXSmONDXOIHu/oaFCpcJaU4LHb\nD89tTLuEC7e+xRtmE16+u9mRW05hbQsxAT37VrYbp8el9a1Cu/qll2j+5ReURiOR//d/vW7TVWOr\n4faVt2Nz2bgg4QKuHXZtn963V7TUyH+YVdlQtAHyV4O9028NpZfsFxk/HeLPksVkX+4eTwMkSe5i\nU1RrpaDWSmFtC/k1LWwpqKOyqWuxTYRZx4Q4fybE+zMhLoCYAL2IdPQTt956Ky+88AIzZswgISGB\np556Ci8vLy6++OLD9q2srCQzM5MpU6ag1+vZs2cP99xzDxdccAH6tr/Pm2++menTp/PNN99w/vnn\ns3jxYpYsWcLatWtP9KVhCpLFZWtADBo2y0U9KSkd28eEjCHRnMj+hv38UvwLc2Pnwuyn5BvEzA9h\nzA1yY4FecMPkWD7ZXMS+ymYW/VrAjVOPfNM9ELFZHOz5tYy9v1XQUNmZLuUboCVpXAhJY4MJiPDp\n8W9PkiSsGzdS++57tKxbJ7+oVOIz82zMl1yCz5lniu44h9DibKGoqYgiSxGFTYUUNhVS0FRAQWMB\nTY7DU0n8NH6MDhnNuNBxjA0ZS5JfUs/pXm6n3LGtPbe/PEv+zjqSgFRr5aptvb9sz6Xzk/9tCG5b\n2o6X/Y8HUcqW+I07CZiCdZTm1MttJoeDwtsb7+hoHAcO4CgsRHvQRAxAxBjCfSKZYLeyUafAy5jF\n4qxR3HZWYrfnb2loparQgspLScSQ3i9LN3z1NbXv/BdUKiL/9Uqv7SZa3a3cufJOKq2VjAwayeMT\nH/99IqTVIkcfW6q7PhqKoHIPtFQdfox/AiSeLedKxkyWC2FOMHanm6qmViotdqqaWqlpbsXmdGN3\numl1eWh1enC43bg9sj2UR5JwSxJKhQKj1gs/vRdmvRcmvTf+em8i/HSEm7Vo1EcXxi1tJuN7KywU\n11mpbGqlqm0cVRY7LQ43SOCRpLZHz+cK9PFmYkIgkxMCmJwYSJS/6P97vLj33nuxWCzMnDmTpqYm\nxo4dy88//4yPjw9FRUUMGzaMJUuWMGXKFOx2O4899hg5OTm43W5CQ0OZP38+jz76aMf5zjjjDP73\nv//x4IMPcuWVVxIbG8uHH37IuHEn3qWhPe/S7huGkcMrxhUKBZelXMYzm57h85zPZXEZkAAT/wLr\nX4If/wo3ruzVjaHWS8UTFw7nhvcyeHnFPs4bEUa4eXB46VYXWchaVUxuRhXuts5SOl8vEseEkDw+\nhJA44xHnUcnhoOnnn6ldtIjWPdkAKHQ6zAsW4H/dtad9lFKSJGpsNeTW55LbkMv+hv0UNhVS1FRE\nrb22x+MMXgaG+A8hNSCV1KBUUgNSifCJ6PmzsFTKbXaLN8mPil3g7sYVwxAMIcMgeLhsGWeMlNue\n+obJYvIUu3EX4vIk0F2Pce/4eFlc5uUdLi4VCkhdwEWZ/2GjToeXeQs/7JjVo7hsXxKPGuLXY07O\nobRs3kz5woUAhD72WK/bO0qSxGO/PkZWTRZhhjBeOesVvFV9zLUr3wFb3oWsL3pOTgbZhid4qNwF\nJywdEmaA/4n1W3O4POwsbSSjQM5FzCyqp97aQ1XeMaBQQIivlkg/HcFGDWqlEpVSIT8UChpsDvZW\nWCiqs9LXBjQmnRexAXpiAgzEBuiJDjCQFmEiOaTn6Iigf1EoFDz55JM8+eSTh22Ljo6m+SCPwZiY\nGDZv3nzUc1566aVceuml/TrO30O716VV4w8cLi4B5sXP4+WtL5NRkUF+Qz7x5niYei9kfSZHe7Z9\nAGNv6NX7nZUSzDmpoSzZVcETP+zmzWtOnK9nX5EkiQM7ati+vIjyvLZVFwXEpAWQNi2SqKF+KI+y\ntO9ubKT+88+p//CjjopvVUAA/tdcjfnyy/vU5OJUosZWQ1Z1FlnVWeys2UlOfQ6NrY3d7uut9CbK\nN4ooYxSxxlhijDHEGGOIM8URoA3oeR50tMjisXyH3HGt6Deo76YQ1z++La9/pPxdFZIq28edRghx\neRIwB3X1ugTQxMfT/MsvtB7aBrKdtEs4+9eX8fVIWHQl7CvPZXdZOsPDD/ceK9gp35XFjujdL7Oj\nqIjS2+8ApxP/667F7/Lee169s/MdfjrwEzq1jv+b8X8E6HpZcepqlTvfbHlX7lbTTvgo8IsFQ1Db\nI1AuwgkeKnerOcG9am0ON5lF9WxuE5PbiuoPs9jxUikI9tUSbNQQ4qsl0Ncbg7cajVqJxkuFRq3E\nWy2LQ6VCFocKhRxNbLK5aLA5aLA6abA5qba0Ulpvo7zRRkWTnYomew8j63zvhCAfhoYZiQs0EGLU\nEOyrJchXQ4hRi49GjVIJSoX83go47au1BceXDq9LZHugg1tAtuPj7cN58efx5b4v+Xzf5zww/gHZ\nv3X2U/DlDXLu5bAL5aXBXvDYvGGs3VfN0t2VrNxbyYwhIf13Qf2AJEkU7qpl8w8HqC6Sl0e9tSqG\ntlV7m4OPvkpg37ePhk8/o+Hbb5GscmDCOzGBgOuvxzhvHkrN4Onecqy4PC5y63PJrMpke/V2sqqz\nDqvYBvD19iXJnESSXxKJ5kTiTHHEGGMI1gcf2cXE45YLaKr3yo+qbLlKuyYXDunvjbePnPsYPVHO\ngwwfNaiWr48XQlyeBDrtiA72umwv6ummYhwgZDjawCGc01zB50ZfvExb+GjTeJ65uKuBsMvhpiS7\nDoDYXuRbuptbKP7zLbgbGzFMm0rw/ff3+joW5y/m1cxXUaDgn1P+SYp/ytEPAqjZD19cJ/fEBtCa\nIP0PcqQiqJfn6GfcHomyBhuFtVYK61o4UN3CtqJ6dpY24nR3nUwSg30YH+fP+Fh/xsb6EW7qf3sd\np9tDRaOdknobtS2tuD0Sbo+Eq+1Z762SWx4G+uB9lO4bAsGJpF0otThlsePsJnIJcHnK5Xy570u+\n2/8dd4y6A72XXu5ateVduWPVyqfg/Jd69Z5hJh13z0rmqR+zeey73UyMDxwQfcclSaJkbz2bvs/v\naMmoN3ozem4MQyeF4a098lewp7UVy88/U//Z59i2bet43TBpEv43XI/hzDNPi9UGSZLY37Cf1cWr\n2VyxmazqLKwua5d9dGodaYFpjAgawYjAEQwNGEqIPuToPx+nTc7lL8vstKyr2df90rZSDUFD5Whk\n2AhZTIakgUpIqUMRP5GTQLsnWVONDY9HQqlUdPhIOrrzumwndQEX/focnxt9UZsy+XZ7AQ+eMwRf\nbaelSElOPS6nh6BoXwzmo9/JVv7jWRz5+WiSEol48UUUqt5NyIvzF3dUht895m7Oij6rV8ex6yv4\n/g5wNMtLB1Pulb9QTpBtgt3pbms52NZ6sFLuYV1cbz1MRAIoFZAaYWR8bADj4/wYF+tPgM/xjxB4\nqZRE+etF3qNg0OEboEWhgBabAo9Chavq8MglwBD/IYwIGkFWdRZLDixhQfICOR/k3OfhjcmyyBx9\nrby02AuunxTLl1tL2Fth4bVVudw3Z0g/XlXfKcutZ9P3ByjLbQBA6+PF6DkxpE6LOGq6kquujrr3\n3qPh8y9wN8pLu0qDAeMF8/C74orDU6dOQdweN5lVmawsXsmqolWUNJd02R7pE8nI4JGMCh5FelA6\niebEo9v/OG1ty9rbOwtuqrK7dmVrxxQlBzuChsjPoWmysPQ6vduN9hYhLk8CXhoVBpM3LY0Omuvs\nGAN1eMfJuYOOAweQ3O7uRV7qfFJXPcUQh4u93i20+q7i2+0juOaMmI5d2qvEY9OOvjxtWbmSxi+/\nQuHtTcTLL6PqoafxobQLS4/k4db0W7khtRe5UU47LH0ItrS1ohs+H+b9C7R98+D8PdQ0t/JLdiXL\n91SyLreGVtfhnWMAQowaYvwNxAToiQnQkxphYkyMXxfxLhAIjoxKrcTHX4ul1o5dG4B3D5FLgCtS\nriCrOovPcj5jftJ8OcoUPBQm/Bk2/ht+ug/+uLRX6TBqlZKnL05lwRu/8dbafC4eFUFi8Inv3FOe\n18jmH/Ip2Svb12j0akbNjiZteuRRI5Wu+nrq3n2Puo8+6lj61g4fjvmKyzGdey5KQ88OIacCHsnD\ntspt/FzwM8sLl1Nnr+vY5qfxY1rUNKZETGFU8CiC9EfxNZUkOR+yeHNbsc3m7oWkQinn8YeP6syT\nDB4KmtOj69Px4qSIywceeIAff/yRwsJCDAYD06dP57nnniPqKNVtP/74I08++SS7d+9Go9Ewffp0\nvvrqqxM06v7FFKynpdFBY5UNY6AOlY8P6pAQXJWVOEtLZXuiQwlIQBE+mvtrd/PHsBC8A1bx/uYp\nXD0hGoVCgSRJvc63dNXWUv6IXG0adM/daBK7Lw46lEOF5S0jbzn6QfWF8Pk18nKDyhvmPAPj/nRc\nq+Ocbg+fZhTzXWYpW4vquxS9JAQZSA7xJSnYh4RguZ91fKDPgFhGEwhOBUxBOiy1dmy6QPQ1+5A8\nHhTdCMTZsbN5LuM5suuy2VWzi7SgtjSf6X+DXV9CyWZZZE66vVfvOybGnyvGRfFpRjEPfb2LT246\nA9UJyjEuz2tky08HKNotCyJvrYqRs6IZMSMKje7IX7XuxkZq33uP+g/+h6dNVBqmTSXo1lvRpacf\n97GfTDySh6zqLJYVLmNpwVKqrJ03I9G+0cyInsFZUWeRHpTec2TS7ZT7Z7db1VXtkbuzHeow0i4k\nO4ptRkJoqpzvK+hXToq4VCgULFq0iLS0NKxWK7feeivz5s1j+/btPR7z5Zdfcsstt/Duu+8ye/Zs\nAHbs2HGCRtz/+IcZKMttoKqoiahhctK6JikJV2Ultqyd3YtLgNQFjFu2jblKMz/TQInyU7YWTmNs\nrD81xc20NMhdeYKie77rkiSJ8kcfw11Xh37CBPyv7Z0n5e8SliVb4OPLwVojF+pcuui49TJtZ2N+\nLY9/t5ucyrbEeZWSSYkBzB4WysyhwQQbxbKGQHA8MQXpKNlbj90vGur24K6vR91Ne0mNSsNFiRex\naPciPs35tFNcak0w71X45HK5e0/CDAgZ3qv3/tvcIazIrmJzQR1vrs3j1um9u3H+PUgeiYJdtWQu\nLeyo/vbSqEg/O4r0s6PQGo686iFJEk0//kTlM8/grpNFqWHKFIL+ctspLSodbgebyjd1LHkfbA0U\nbghnbtxc5sbOZYhPFIrmStlofNdX8nNLtdzFxlord7Kx1kJDcfe9tPUBEDWh8xGWftI715wunBRx\n+eyzz3b829vbm/vvv59Ro0ZRX1+PXzc2CpIk8de//pXHHnuMefPmdbw+fnzP/WSdTicuV2eHEZut\n5x7IJ4PQBBO71pZS0W5HARgmTqRl/Xpa1q3DdP553R+YOh+WPcJ9xbn8EhEJvnv414bF/C/2Wg5k\nHdSV5whRwcavv6Z55UqUPj6EP/tMtxGFg5EkiY/3fsxzGc/1TVju+Q6+vglcdvnL4ZL3jmsVXWWT\nnad/zOb7HWUARPvruWdWMjOHheCjERkgAsGJwtTmiGH3iwRkO6LuxCXIHXsW7V7E0oKl3DryViJ8\n2lpgpsyFMdfD1kXyPHLjyl71RPYzePPCpSO4/r0MXlq2jzMTAxkRae6Hq+rE4/aQs6mSzOVF1JfL\n9mkavZrUqRGkz4xC53N0OzZneTkVC5+gec0aAPRjxxL013vQn+CuSieKVncr60vXs7RgKWtL1tJy\nkO1cuCGMGf5pnOMdTJqlAcXu1bDqDWiu7OXZFbLJePCwNru6oXJUMiDhlPOPHCwMiG/cZcuWERMT\n062wBMjJyaGoqIiGhgZSU1OpqKhgyJAhPPXUU0yfPr3bY55++mmeeOKJ4zjqYyMsQbYQKs9rRPJI\nKJQKfKZOoer552lev77HZSSM4ZB4NsH7V3CjPonXrbvY1vIuFU3zKdzZnm/Z85K4o7iYyqefASD0\nsUfxCg8/4jgdbgdPbXyKb/Z/A8BfRv6Fm9NvPvLFSRJseBWWPyb/f8z1cO4LoDo+uYtOt4dFvxbw\nyop9tDjcaNRKbp2eyM3T4tF6iaVugeBE025HZDPIrela9+1DO3Rot/tGG6OZFTOL5YXLuXf1vbx/\nzvudXrmzn4b8NbKzxKqnYdbhvqDdMT0lmBsmx/LerwXc+el2frzjTPTe/fN111BlZfm7e6gqkKu/\nffw0pJ8dxbAzw4+aUwlyi936Tz6h+sWX8FitKH19Cb7/PsyXXHLKVX473A42lG1gacFSVhWv6iIo\nU4xxzPAKYkZDNSk5GSicmw4/gUoDvqHy955vmPxsCJIjkvoA2apKHyC/Lpa2BxQnXVyuWLGCJ554\n4oi5kzU1smj6+OOP+fbbb4mLi+PNN9/kvPPOY9euXcTFHW6k/fDDD/O3v/2t4/82m42AHu6cTwa+\nAdqOop76Civ+4Qa8ExNRh4XhKi/HvicbXWoPy0BT74f9K/hT7joWhQ/B6l3JEz+/SWrhKFReSiJ7\n6MojeTyUPfAgHqsV3zlzMB4UBe6OGlsNd6+6m+3V29GqtDw5+UnOiTvnyBfmdsFP98LW9+T/z3wC\nJt953O4eN+XX8uh3u9hXKZtOzxoWwmPnDxNV1gLBSaTdbs2ul/0mG778CtOFF/a4/+MTH2d3zW52\n1e7ixS0v8uCEB+UNGh+Y/xa8Owd+fRWSZkPsmb0aw9/mDmHD/lpyKi08+cMe/rFgxDFdkyRJZP9a\nzrovcnG1uvHx0zDhgniSxoWg6qUdmKOwkLKHH8a2ZSsAvrNmEvLIo3iFDMz+0L8Hu8vOr2W/srxw\nOWuK19Ds7GwIMNQ3ljmSjtll+4g6sKbrgYHJckV28FC5i03IMDBFn3BvY0H/cFLF5eLFi7n66qv5\n8MMPmTt3bo/7GY1yRfEdd9xBSpsFw+23385rr73Gzz//zC23HL5E6+XlhZfXwK3yVSgUhCaYydtW\nRXleA/7hBhQKBT5nnknDF1/Qsn5dz+IyegLET8crfzUPauJ51FFJ7YH9wKgjduVpXrkS29atqAID\nCV145BaNu2t3d7R0DNGH8OqMVxkWMOzIF+VqhS9ugJwf5TvO+W/KNkPHgWpLK8/+lM3XmbJxbkyA\nnoXzhnPWkFNnkhYIBivtdmvNDi/QG7BmZNC6f3+PhYMmjYkXpr3AtT9fy8d7P2Z0yGjmxM6RN0aN\nhyl/hbXPwzd/hlt+lXMyj4LWS8WrV45i3mvr+TSjmOkpQcxNDftd12NrdrDqf3s5sEMOdCSNDWbq\nlSlHzalsR/J4qP/wQ6peehnJbpfn4McexdhWPzDYqWypZFPFJtaVrGNNyRpsrs40tBTfWOYqjcwu\n2UP0gYN63WtNcrpU4kxIOFtuhSg4ZThp4vKjjz7i1ltv5fPPP2fOnDlH3DclJQWDwXDKLRmEJZjI\n21ZFRV4jw6fIeUaGqVNo+OILmteuI/DPf+754GkPQP5qLixYwtPmKcQ0yJ5ukak9RC0liZq33gYg\n8KabemwRVmev492d7/LJ3k9weByMCh7FS9NfIlB3FEN2hxU+uxryfpEnjau+lL8U+hmHy8NHmwp5\nafk+LHYX3molt05P4M/TEsQSuEAwQPDSqNCbvLE2OvA+dwGOLz+g/rPPCX34oR6PSQtK496x9/KP\nzf/g8Q2Pk+KXQqwpVt447W+Qu1z2JfzpfvnGtRekhPry0DlDWPjDHh74eicjo/wINfWtoK8iv5El\n/9mJtcmBt1bF1CtTSJkQ2uvjD41WGi+YR+hDD6Eym/s0joGCJElUWavYVbOLjeUb2VSxiQONXf2Z\nh5uTmaXyY1bpIYLSECQHHIbPl7vaCPPxU5aT8sm+9tprPProoyxevJgpU6YcdX+NRsONN97Iq6++\nyqxZs4iJieHtt9+mrKyMc845yjLtACYssTPvsh3DxImgVmPbvh13YyMqUw936DETIW4qigNrWagO\nIbdRjug+W/EQj9Y8yPDArlFP66ZN2LOyUPn5Yb70ksNO12BvYNHuRXy89+OOu85Lki/hwfEPHr1X\neKsFPr4CCteDPhCu/VZe3uhHJEnip50VPLd0L4W1slXHWSlBLLxgODEBItdGIBhomIJ0WBsdKKbM\nhS8/oPHbbwm++y6U+p5TVv4w5A9sq9zGssJl3LPmHj4+92O0aq2crz3/bXhzKmR9CtFn9Lr3+HWT\nYlmVU82afdX85eNtfPinCb2+ES3aXcuSN3ficngISzQx84ZhGAN0vTpWcrvlaOXLr8jRyqBAwp54\nAt8ZM3p1/EDA4rBQbCmmsKmQvXV7Ox4H+08C6NV6xgaN5AyFgRnl+4jYvhKkNj9hjQmGzYPUSyB2\nihCUpwkn5VO+/fbbUavVhwnDJUuWdIhNHx8f3nzzTa666ioAnnvuOZRKJRMnTsThcJCamsqSJUuI\njY090cPvNwIjfVBrVDRW27A2OdAbvVH5+KAfNQprRgYtv/2G8QjpAkx7AA6sJa6gggKPN2U+Rey2\n7+Cqn67ihtQbuCX9lg5hWNsWtfS75mqUOnly9EgesmuzWVG0gk/2ftKRbD0tchq3jbyNoQHdJ+B3\nwVYPH10KJRlywvW130NQ8rH9YA4ho6COp3/MZntxAyD7VD5wzlBmDg0+5aLZAsGpgilYT/n+Rqy6\nYAzpI7DvyKJpyRLMCxb0eIxCoeCJSU+QU59Dbn0uT218ir9P/rv8dx6UDOe/DN/+WTZXD0mFqHFH\nHYdCoeCFS9O54LX1bCms545PMnn9qtGoVUfO5cvdUsmK9/bgcUsMmRTGWVeloDzKMe3Y9+yh/LHH\nse+SW9wa580j9OGBF610e9xUWispbS6lxFJCSXMJpc2lFDcVU2wppr61vtvjfL19Geo/lLHGBM6w\n2UktzsRr45fgaXNoUXpByrkw4jJImiO62gwQHC4P1c2tVDbZqWpqpcpiJ9BHw7lp/Z+SoJAk6fCe\nd6cgNpsNvV6P1WpFp+vdneeJ4NuXMynNqeecm9OIHyV3HKh5+22qX3wJ0/z5hD/z9JFPsOh8vtt2\nNiWOdJbqrTQNX0mdegUSEgmmBP404k/4FzTgd+vTSDotmu8WsddVwvrS9Wwo29DlDnRS+CRuG3kb\nI4J6mfjeXA0fXgwVO+XE6+u+k1s69hNZJQ38a0Uuv+yVjXADfTTcPSuJy8dGHfWLQSDoKwN1jjgR\nHI9r3/JTAZu+z2fUrGiGKXdR/uCDaFNTifvyi6Mem1OXw1U/XUWru5WLEi/i8YmPo1a2xUJ+ug82\nvyXfzN60BnxDejWefZUWLnljA012F1eOj+aZi1N7vDndva6U1R/ngATpM6OYvCCxVzeyHquV6tf+\nTd3774PbjTosjNDHHsX3rF62xz2O2Fw2cupyOqKP2XXZ7K/fj8Pj6PEYrUpLpG8k0b7RJJkTGept\nZojVQnjlPhRFv0H13s6dFUqIngipC+Slb73/CbgqgSRJNNlcVDfbqbY4qG5upcbSSpVFFo/VltYO\nIVlvPdwLdHJiAB/96YxevVdf5gkRnz7JhCWYKM2ppzyvoUNc+kyZQvWLL9Gybh2SJB1xUmsedT8l\nGx0ocdLk66Ig92z+duG5/FTxL/Ia83hw3YPc/Y2bicAPI1r5cNXVXY4PN4RzZsSZnJ9wPqOC++Cv\nVr0PProEGgrBPwGu+x5Mkb/nR3AY24sb+NeKfazKkXsS67xU3DQ1nhunxgu/SoFgkNBeMd5YbcN4\n/Vwq//EP7Lt2Ydu5C11a6hGPTfFP4eXpL/PXNX/l2/3fUm+v5/lpz6NT6+QOXxU7oeg3+OJ6ee7p\nhc1Zcogv714/jqve2cQnm4sIMWq4a+bhqyzblhby2zd5AEy4MJ4xc2OOKiwlSaJ51Soqn34GZ2kp\nKJX4X3cdQXfcftJaNtbaatletZ2tVVvJrMwkuy4bdzc9tIN0QUT4RBDpG0mETwQRPhFE+UYRrQ0g\nqLYQRUlb+8TN34K9oevBGhMkng0p58iFOUJQ9gsut4eaZgdVFjs1za3UtIvG5lZqmx3UtsjPdS0O\n6q0OnO7exQhVSgVBPhqCjRqCfbUEGzUMCzs+LZjFN/VJ5mC/y3Y0KSmog4JwVVfTmpODdsiQHo/f\nVxED5BGn2cjLyTYu3jmJD9co+fHOT/ls34dUZG/ljJx1uFQKcmYlE613Eu4jC8opEVOIM8X1fWm5\nYD18+gewN8rddq78rNfRgyOxp6yJf/68lzX7ZFGp91ZxzcQYbpwST6DP0c2TBQLBwKHd67Kx2opS\nq8V80UXUvf8+9Z99ii7tqaMePyVyCm/PfpvbfrmNNSVruHHZjbw24zXMWjNc+j68NQ2KNsDSh+Hc\n53o1prGx/rz2h9Hc/L8tvLIilyBfDVdNiAHA45H49YtcslaVgAKmXZFM6rSj3zDbs7Op/OdzWDdu\nBEAzdChhTz55VAHd31RZq9hSsYWMygy2VGyhoKmgy3alQkmSXxJD/YcyxH9Ix8PXu62bm7UOCn+F\n3HVQ/DJU7Dq8D7dPqJyKEDkOIsdD5Njj5l98KiJJEg1WJxVNdirbHhWNrVRa7FQ12dtel0VkX9aU\nDd4qgnw1BPlqCPSRH8G+XUVksK8Wf4P3CWuHKsTlSSYk3gQKqC6y4HK4UXurUCgUGKZMkTvprFvX\no7iUJImcTRUAJOvWEFecw1lBI1hVDe//WsadM2+m7ItHaJQgcP4lvHt17wyIj8iOT+G7v8ittlLO\ngwVvH7N5rcvt4c21+byyYh9Ot4TBW8W1k2L505lxBAhRKRAMSjrFpQ1JkjBffjl1779P048/EXL/\n/aiMR4+YpAel88HcD7h5xc3sqN7BdT9fx5uz3iTUNxQu+wDeOxc2vynf5I68slfjmjUshGcuTuOB\nr3fy6Le7MGq9mDskhGX/3U1BVg1KlYKzrx9K8rgjV4Q7q6qofvVVGr/6GiQJlclE4G234feHK1Go\nj/9Xa7W1ms0Vm8moyGBL5RYKmwq7bNepdYwIHMHokNGMCh7FiKARGLwOmqsdLVD4GxxYAwfWQvkO\n4CBFo1DJXW6iz5CdP6ImgDFCdLzpAUmSqLc6Ka23UdogP8oabJQ32qhs6sxzdLg9Rz2XQiGngXUK\nRm+C2v4f4OONv0FDgMEb/7bHQHRKEeLyJKPRqQkI96G2tJmqwibCk2SLIJ+psrhsWbuOwBtv7PbY\nmuJm6spa0Bq8iEkNQrF/M697/4MJPMAba/YzP9qL5u++B6WSgP/3x2MbqCTBmn/C6rbWnWfcCrOf\nAuWx/VIX1LRwz+fb2VbUAMA1Z8Rwz6xk/AxHb58mEAgGLhq9F1qDF/YWJ9YmB4b4OPRnnIF140Ya\nv/8B/6uv6tV54s3x/O+c/3HLilvY37CfP/z4B56f9jxjosbLEcvFd8P3t8tLsslHtrVr54rx0VRZ\nWnlp+T4e+CiTQpURRb0TjV7NOX9OIyK5e6s2AI/dTt2i96l56y0kqxXUavyv+gOBt9xyXAt2GuwN\nbK7YzKbyTWyu2HxYZNLgZWBU8CjGhoxlXOg4hgYMxUt5UFTR5YCCX2UheWANlGzp2o9b5S1HI+Om\nQMwkCB8tm9if5ng8Ei0OF3UtDmralqJr25aoSxvsspCst1LWYMfmPDzt4FCMWjXBRi2hRi0hRi0h\nRs0hz1qCfDV4DfK6AiEuBwBhCSZqS5spz2vsEJeGSZNApcKamYm7uRmVz+F/5O1Ry6Sxwagu/g+8\nOxdd1W6+8HuD8+vvZv0zrzLS6cT3nLl4H0tVfUORPHnnr5aTtuf+Eybc9PvPR1u/8s1FPLU4G5vT\nTahRy/OXjmBKUtAxnVcgEAwcjEE67C1OSvbWkzIhFL8rLse6cSP1H32Ed3QUSl9fVEYjSl9f1H5+\nKHpofBFqCGXR3EXcteoutlRu4f8t/X/cOfpOrh99PYraPPjtNfjsGvjDp7Ixdy+4fUYimhYXdT+X\novA4cWiVLLh7FKFRvt3uL0kSTT/9RNWLL+IqKwfAZ8YMgu+7F003XeKOlVZ3K5lVmWws28hv5b+R\nXZuNdFBkUafWMTpkNONDxzM+dDxD/IegRiE7eLRUQ85SqM6Gqmyo2gu1ueA+qHhHoYSIMRA3DeKm\nypFJ71O/s1mry021pbXz0dz575rmVmqaHTTZnDS3umi2u2h2uHq9RO2rVRNh1skPPx3hZvkR2iYe\ng3216HpocnKqIcTlACA0wcSutaVd8i5VRiO69HRs27bJlkSzZnU5xuP2sC+jEoDkM0JBa4Q/fAbv\nnE1KcybPed4iJqMEoMfI51GRJNj2Pix9BBwWuYfrRW/0OjrQE7XNrdz/ZVZHFfgF6eH8/cJUTHqR\nuyMQnEokjAqiqqCJlf/LRqNTEzNjBqrAQBwHDlB8081d9lUajfhffRX+117bbQTQpDHx9uy3eTXz\nVd7b9R4vbX2JzKpMnpr+d4wuO2S8A5/8Aa7+slctIg/sqEG5sgqjR0mFl4cvvW2s/HYHb1879jCj\ndVtWFpXP/gNbZiYg58WHPPgAhjN6V2XbG5xuJztrdnYsdW+v2t6lkttL6cXI4JFMCB7LBF0ow+12\nvKr2QOYP0PgfsNbIwlI6wrJr0FCInyYLyphJoDP32/iPJzaHmyqLnI9Y1+Kgye6kyeakye7CYndi\nd3pwezy4PBIej4TLI9Hq8mB3urE53NjanmtbHDTaDq+YPhp6bxX+Bm8CfOTl6IC2f4ebtV2EpFEr\nvsPaEeJyANBe1FOR14jkkVC0Jdz6TJ0ii8u16w4Tl8V767E1OTAF6wiJbctdMkfBlZ/Ce+dyxp6d\nNLgN7IweQVTC7/CdbCyB7++QO+4ADJ0H570MPscWWVyfW8M9n2+nytKKUavmqYvTuCA9/JjOKRAI\nBiajZkfT0thK1soSlry5k7k3pxH+z3/Q+NVXuJssuC1NeJosuJuacNfWUvP6G9Qteh+/q/6A//XX\now4I6HI+tVLNPWPuYVTQKB5e/zCrildx2eLLeXHqCwx3tULm/+Cjy+Cab+Q2ud3gdnn47Zs8dvxS\nDEDC6GDOPjeKNR9vY2dpI/NeW8+rV4xiYkIAHoeD6hdfpO79DwBQBQQQdNedmOfPR6E6tgiUxWEh\nqzqLzKpMtldvJ6s6q0vbRIBkv2QmhoxlotKXUXXl6As3wKbvuy5nH4rOT25mYY5u69M9VBaVQcmg\n6T4qeyJxuj3UNLfSYHXSYHXSaHPI/7Y5215r/7+D2mYHlU12muyufnt/tVLRJZ8xuK0Ipv3/AQZv\nzHpvfLRqfDTy40QVwZxKCJ/LAYAkSbz/4AZaGlq58rEJ+IfLSde23bspWHAJ6rAwElf+0qWqe9l/\nd5ObUcn4eXGMO6/rkkzrsnfIv/MFAD47eyZ5I6/m3RvG9y6Hw1IBG9+AjP/K0UqdH5z7guxddgyJ\n3A6XhxeX5fDm2nwAxsf588rlIwk3D6zPQnD6MpDniOPN8bx2SZL49Yv97FhZjFKlYM6NqcSPPPwm\n1bp1KzWvv0HLr78CoNBq8b/2WoLuuL3bApliSzF/Xf1XsuuyUSvV3Dnydq7dtxHlzs9AY4RrvoXI\nMV2OsdTZWfr2LioPNKFUKpg4P4H0s6NQKBTUtzi45aOtbMyXvX//GKXgyqVv4dqXA2o1ATdcT8DN\nN3ebotQb7C47Wyq3sL50PZsrNrO/fn+XZW6AeFM840PGMd7bn7ENVfgVbpIbVHQRkwrwj4OQ4RCS\nJj/7x8mtFXX+J7UDzpGKWkob7JQ32KjuYyU0gJdKQbCvvLTsb9Bg0nlh1Kkxar3w1arReatQKxWo\nlEpUSlAqFGi9VOi8VOi85WetlxI/vTd+em+UQiz+LvoyTwhxOUBY+vYu9m+tYvpVKR19xiWPh9yp\n03DX1BD11pv4TJ0KgMPu4r371uNyerjmqYkYA7teT/Gfb6F59WrMiS2EjW0k05PI9ujruP6Pt6Ho\nqQCnNg82vArbP+7MyxlyPpz30jHbDOVVN3P3Z9vJKmlEpVRw59lJ3HZWorgbFAwoBvoccTw53tcu\nSRK/frWfHSuOLDBBXoKuef0NmlevBsBw5plEvPJyt6Ku1d3K8xnP81nOZwCcETqBpxusBGf/CCoN\nzP47jL8JFAoKdtawYtEeWltc+PhpmHNjKqHxXdvrOt0eXl+5n5xFH3Hj9m/Qup20BoeR9OrLGEam\n9/m6y5vL+aXoF9aXrWdLxRZa3a0d29RKNcMChjEqaBQj9RGMtNQQWLgJ8tdCa2eKFAolhKUflBs5\n/qREICVJosnuoqLRTlmjjfIGOxWNNsoa7ZQ32ihvtFPei6IWpQICfDT46b0w670x67ww670w6dr+\nr/fCrJOf/fTehJq0mHVeQhAOAIS47IaB/sWxY2Ux6z/PJeWMUGZeP6zj9fZuPergYOK//w6V2cze\n38r55f1swhJNzL+36515y8ZNFF1/PUqDgYSnL4XMN1C3tfCq1cUSMOteeaJqLIaGYvm5Ogf2r0C2\noVDAkPPgzLtlD7NjwOX28Na6fF5ZkYvD5SHCrOPVK0cyJkYY7QoGHgN9jjienIhrlySJDV/nsX15\nEQoFJI0PYdy5cZhDui8isW7dSsntd+Cuq0OTnEzUm//BK6z7NnVritfw6K+PUt9aj8nbxBNeUZy9\n6ycAWmPPZYPnPvZsbgAgJi2AmdcNQ+tzeH6cq76eiiefxLLkZwB+iRzN6+nzGZoYxn1zUpgQ539U\nX+BmRzPLC5ezOH8xmys2d9k2LGAYk8MnMylkLGktTWjy10DucrnY5mD8E+TCpPjpEDtZXkE6AUiS\nREWTnfzqFg7UtFBQ00JBbQuFtVbKGmy0OI5eDd1e1BJ5UEFLuFlHuElLmFlH8ClQCX26IsRlNwz0\nL46qwia+eHYLxiAd1/x9YsfrkttN4dXXYMvMxHjuuYS/+ALfvLiN8v2NXaKcIEc6Cy65FPuePQTd\ndReBf74ZHC3s+/kNDFvfIEJR0/MAlF6QfgVMvhMCk475enaXNfK3r7LYVdoEwCVjInn0/GGYdCLh\nWTAwOZFzhCRJLFy4kLfffpvGxkbGjBnD66+/Tmrq4cbbVVVV3Hfffaxdu5bq6moCAwO58sorWbhw\nIRqN7ANbUFBAXFwcer2+i/gpLS3FZDIdds5DOVHXLkkSGT8WsHVJAR63nF+eckYoY8+J7fDFPBhH\ncTHFN92M48AB1EFBRP7nDXTDh3d77hpbDY+sf4Rfy+Rl9fMDRnLJ1iZ2Vl5NiycApUpiwoWJjJoZ\n3ZHXfvC4mr7/nsp//BN3fT1KvZ6Qxx9jbew4/r54D9UWOeI4PNzI/zszjvNHhOOt7hRILc4WNpZt\nZFnhMlYWrcTutgPgrfRmWtQ0poeMZ5KkIbAyW+52U7QJDs6v1JjkQpuEGZBwFvjFHsuPudc43R72\nlDWxpbCebYX1bCmso7Kptcf9dV4qwsxawk06Qk3aDsEYZtIS3vbsK4paTlmEuOyGgS4uPW4Pb9+z\nDlerm+uenYyPX6d5uKOwkPyL5yNZrdT9+RW27/XCW6vi2mcmoTmowrrx++8pu/9vqENDSVjyE8qD\nrvPzTXls+O4drlMvI9GswDckDkxRchGQKQpiJoPx2JvX251uXlu5n/+sycPlkYgw63h2fhpTk4XF\nkGBgcyLniOeff55XX32Vn376icTERJ588kk++OADcnJy8Dlk+Tc/P59PP/2Uyy+/nLi4OPLz85k/\nfz4zZszglVdeATrFZW5uLomJiX0ez4meH5tqbGxdUkD2bxVIHgmlUsHQyWFMvDihy5wG4G5ooOT2\nO7BmZKDQ6Qh/9ll858zuNoLokTx8nP0xr298k/H580iqkVdfArxymG16Df/UkTDmelnEtaUIOQoK\nKH/iCay/yR129BMmEPbkE3jHyJ17Gm1O3l1/gA83FlLbIqcMBfl6c9FYLX6BeWyv3UBGZQYuT2fR\nyRjfWOZpwphld2Gs3AtVe+CQ/EpCR8gtE5NmyR1vjnOnG0mSKKm3saOkge1FDWwvbmBXWSN2Z9fq\ncqNWTUqoL7EBBmIDDW3PeiLNeow6dd87uglOGYS47IaBLi4BFv97B4U7awmJM3LBHSPx1nUmZtd/\n+hm7X/2cHWm3gELJubeOIG5EYMd2j91O3jnn4iovJ+wfz2K+6KLDzv/y8n386xd5+eWikeE8fN4w\ngnz7pwOOxyPxQ1YZz/2cQ2mDDYUCrpsYy31zUjCIfuCCQcCJnCPi4uK46667uPPOOwFwuVyEhYXx\n0ksvcc011xz1+FdeeYX33nuPHTt2AH0Xl06nE5erUwzZbDYCAgJO+PzYWG1ly48F5GyqQJLAx0/D\njGuGEjWsa+qM5HBQ/uijNH73PQC69HQC/3IbhjPPPEzs7N9axaqPs3G0uHEqHWyOXkxe2Aaubqzn\n8sZGgt1uJN9wnBHzaCw2Uvu/L5AcDlRmM8F/+xumiy487Jz19noyK3fy9e7fyCjdhl1ZgEdt7diu\nlGCEG6ZZmpjbbCHSdcjysdILwkfKXpJRE+SuNz7B/feDPAiHy0N1cysFNS3kVlrYX91MbmUzuVXN\n1LU4Dts/PtDAmBg/xsT4MTbWj/hAH5HfKOgWIS67YTCIy6ZaG9++lIml1n6YwGyobOHzx9bhVHiT\n4s7i7Lfu7JgAPa2t1LzxBrX/eRPN0KHEffUlCuXhOS2SJPGfNXKbxVaXB1+tmvvnpPCHCTHHVFyT\nUVDHU4v3sKNETkIfEurLUxelMjZW5FYKBg8nao5obGzEbDazYcMGJk7sTIGZPXs2qampvPTSS0c9\nx7nnnktwcDCLFi0COsVleHg4ra2tJCcnc99993HxxRd3e/zChQt54oknDnv9ZM2PdWUt/PJBNlUF\nchpN2rQIJs5PxEvTWYAoSRL1//sfNa+/gbuhAQDtiBEE3noLPtOmYbM4WftpDnnbqgGISDETc76G\n/xa9wcb81fg1Q0qJxLhCieEFHgzNnXOeO1VL43lxWIKCaNLoKXM0UmKvpcTRQLHTQpN0uPWPye1m\nks3OFKuNM212/DxyBLBRE4bLPxFD+HC04W02QGHp4KU97Bx9xeORqLTYKaq1Ulxvo6jOSkmdlYom\ne4cheIO1Z5sis96L9EgzI6PMjIw2MzLSLLqhCXqNEJfdMBjEJcjLRd+8tI3mulZC443Mu2MkAF89\nt5W6shaCGnaTuv0NAm64HpQKbNsyse/aheSUJ5To997FcNAXVncU1Vp5/PtdrMqRJ+H0SBN3zkzi\njPgA9N69izLWtTjYmF/Ld9tLWbpbNnMP9tVw7+wUFoyJFJXggkHHiZojiouLiY6OZs+ePQwdOrTj\n9csvvxxfX1/eeeedIx7/97//nddff52MjAwiIyMBaG5uZufOnYwZMwa3282XX37Jn/70J7755hvO\nPffcw84xUCKXB+Nxe9i2tIiMxQfweCRMwTrOumoI4cnmLpFET0sL9Z9+Su1/38VdV4cEVEVOZF/s\nfJxqPSqPg2GubUQ278BTW4urrg7JZjvs/Zp0sDtGwbJRCnbHHrnAROfxMNThYHirg1SHm1RtCFF+\nCbhMsex1BLC6Us9PpVoOuAKw07kaFB9kID3STFRbcUu72XagQYNHkvBIEm5JQpLklKJOv0fZ7Lva\n0trWXtBGWaONikY7TveRv7JVSgUBBm+i/fUkBvt0eUSYdWJZW/C7EeKyGwaLuIRDBaYJna8XB3bU\n4BeqZ/boeqrvv6frAQoFmqQkzAvm43/ddb16D0mSWLq7gid+2EN5Y1vyuUrJ2Fg/piQFMSUpEJPO\nixaHi5ZWN1aHiwark62F9WzMr2VvhaXjXFovJTdNTeDmqfFiCVwwaBkMkctHH32URYsWsWLFClJS\nUo74Ptdffz0Oh4OPP/74qGMaSPNjdbGFFe/toa6sBZCXyuNHBRE/MoiwRDNKpQJ7i5PK3BoKf/yN\nkux66n1kr1+/umyG5HyMrrWuyzkVGg2qAH80KSlYR8SzL17DJl0Fu+t2o/C40KPERwKD24WPy0mY\nWk+kt5kobQCRumACdEEo/GPlKm5TVLdekha7kw15tWwrqiezsIEdJQ20uo7QLed3EujjTZS/nmh/\nPVF+8nOoSUuwUUOQj0b4OAqOG0JcdsNAmjx7Q2O1jW9f2kZzvVy5561VcemD4zCH6Kn617+wbd+O\nLj0d/ejR6EaORGU0/q73aW518d76A6zIriSrtLHX5rYatZIxMX5MjA/g0rFRh7VLEwgGGyc65/Lu\nu+/mjjvuAOScy/DwcF588cVucy4lSeIvf/kLS5cuZcWKFcTGxh71Pf74xz9is9n45JNPjrrvQJsf\n3U4PW34uIPvXcloaOquXdb5eaPReNFRau+zvpVEycXYISSleSFYrnpYWFBot6sAAVP4BKA36Ex6x\nc7o9ZJc3saesibIG2US8rEGOQNa1OFAqFKiUCpQK2fTbW63s8Hg06b0w67wI8NEQYdYSYdYTbpYr\nsrVep0dvasHAQ4jLbhhok2dvaKy28u1LmbQ0tHLurSOITQs8+kHHQH2Lg1/zali3r4aNB2pxuSUM\nGhV6bzV6bxUGjZrh4UbOiA9gZJRZTHKCU4oTXS3+f//3f/z0008kJCTw1FNPsWjRom6rxV0uF9dd\ndx3bt29nxYoVhHXj9bhu3ToCAwNJTk7G7Xbz1VdfccMNN/D5559zwQUXHHU8A3V+lDwSlYVN5GdW\nk59ZTWO1vLytUisJjPIhJNZIcKyRqKH+6I0id1AgOJ4IcdkNA3XyPBoOuwubxdmtB5xAIOg/TrTP\n5eOPP85bb71FU1MTY8eO5d///jdpaWkUFRUxbNgwlixZwpQpU1izZg3Tp09Ho9GgPqQNYnNzMwDv\nvPMOzz77LBUVFWg0GpKTk/nrX//KpZde2qvxDIb5UZIk6sutuF0e/MMNqNTCiFsgOJEIcdkNg2Hy\nFAgEJ4/TeY44na9dIBD0jr7ME+LWTyAQCAQCgUDQbwhxKRAIBAKBQCDoN4S4FAgEAoFAIBD0G0Jc\nCgQCgUAgEAj6DSEuBQKBQCAQCAT9hhCXAoFAIBAIBIJ+47Tp1dfuuGTrpsesQCAQtM8Np4k7WxfE\n/CgQCI5GX+bI00Zc2u1y/+yAgICTPBKBQDCQsdvt6PX6kz2ME4qYHwUCQW/pzRx52pioezweGhoa\n0Gq1veoxa7PZCAgIoLa2dtCaCotrGBicCtcAp8Z1HOkaJEnCbrdjNptRKk+vjKHTcX6EU+M6xDUM\nDE6Fa4D+myNPm8ilUqnE39+/z8fpdLpB/YsC4hoGCqfCNcCpcR09XcPpFrFs53SeH+HUuA5xDQOD\nU+Ea4NjnyNPr9lwgEAgEAoFAcFwR4lIgEAgEAoFA0G8IcdkDarWaxx9/HLV68GYOiGsYGJwK1wCn\nxnWcCtcwEDhVfo6nwnWIaxgYnArXAP13HadNQY9AIBAIBAKB4PgjIpcCgUAgEAgEgn5DiEuBQCAQ\nCAQCQb8hxKVAIBAIBAKBoN8Q4lIgEAgEAoFA0G8IcXkIkiTx+OOPEx4ejsFgYOrUqezatetkD+uI\nfPrpp0yZMgWj0YhCocDlcnXZnpWVxdSpUzEYDISHh7Nw4cIB1z/5gQceIC0tDaPRSFhYGFdeeSXF\nxcVd9ikqKuL888/H19eXwMBA/vKXv+BwOE7SiA/niSeeICEhAZPJRGBgIHPmzGH79u1d9hkMn8XB\nXHzxxSgUClasWNHx2urVqxk9ejR6vZ64uDjeeOONkzjCw1m4cCEqlQofH5+Ox5VXXtmxfbB9BgMN\nMUeeeE6F+RHEHDlQOCFzpCTownPPPSdFRkZKWVlZktVqlR544AEpPDxcslgsJ3toPfLzzz9LH3/8\nsfTf//5XAiSn09mxrampSQoNDZUeeOAByWq1SllZWVJERIT00ksvncQRH84DDzwgbdmyRWptbZXq\n6+ulK6+8UkpPT+/Y7na7pbS0NOmaa66RGhsbpYKCAiktLU264447Tt6gD2Hv3r1SXV2dJEmS1Nra\nKr3wwgtScHCw5HK5JEkaPJ9FO++//740e/ZsCZCWL18uSZIkFRQUSHq9Xnrttdek1tZWafXq1ZLR\naJS+/vrrkzzaTh5//HFp8uTJ3W4bbJ/BQETMkSeeU2F+lCQxRw4UTsQcKcTlIcTGxkqvvPJKx/+d\nTqcUGBgoffDBBydxVL1j1apVh02cixYtkoKCgrq89sorr0jx8fEnY4i9JjMzUwI6JqLVq1dLarVa\nqq6u7tjn22+/lfR6vWSz2U7WMHvEbrdLL7/8sgRIVVVVkiQNrs+iuLhYioqKkgoLC7tMnAsXLpRG\njhzZZd+77rpLmjFjxskYZrccaeIcTJ/BQEXMkSefwT4/SpKYI08mJ2KOFMviB9HY2EhBQQHjx4/v\neE2tVjNq1CgyMzNP4sh+P9u3b2fUqFFdDFHHjRtHfn4+TU1NJ3FkR2bZsmXExMTg5+cHyNcRHx9P\nYGBgxz7jxo3DarWyb9++kzXMw/jxxx8xm81otVruuece7r77boKCgoDB81lIksQf//hHHnnkEaKj\no7ts2759e5e/D5CvYaD9fWRmZhIUFERMTAx/+MMfOHDgADB4PoOBipgjBwaDdX4EMUcOFI73HCnE\n5UG0/+DMZnOX1/38/AbUL3ZfaGpq6vZ62rcNRFasWMETTzzBf/7zn47XBst1nHfeeTQ0NFBbW8uL\nL77IxIkTO7YNlmt44403kCSJm2666bBtPV3DQBr/JZdcwp49e6iqqmLDhg0oFApmzpxJc3PzoPkM\nBipijjz5DOb5EcQcORA4EXPk4O5T1M8YjUYAGhoaurxeX19PRETESRjRsWM0GikpKenyWn19fce2\ngcbixYu5+uqr+fDDD5k7d27H60ajsdvPpX3bQMPf358777wTPz8/kpOTSU9PHxSfRV5eHn//+9/Z\nuHFjt9t7+hwGyvgBUlNTO/4dERHBu+++i8lkYsOGDYPiMxjIiDny5HKqzI8g5siTyYmYI0Xk8iBM\nJhOxsbFkZGR0vOZyuTrCxIORkSNHkpmZ2aU6csuWLcTHxw+oX3aAjz76iKuuuorPPvuMiy++uMu2\nkSNHcuDAAWprazte27JlC3q9nuTk5BM91F7h8XhwOp3k5uYCg+OzWLduHbW1tYwZM4bAwMCOZbYF\nCxZw0003MXLkyC5/HyBfw0D++1AoFCgUCiRJGhSfwUBGzJEnj1NtfgQxRw4Ujssc+TvzQU9Znnvu\nOSkqKkrauXOnZLVapYceemjAV0K6XC7JZrNJS5culQCpublZstlsktvt7qj8euihhySr1Srt3LlT\nioqKkl588cWTPewu/N///Z9kNpultWvXdru9vRryuuuuk5qamqTCwkIpPT1duv3220/wSHvmlVde\nkSoqKiRJkqSqqirpxhtvlEwmk1RWViZJkjQoPouWlhapuLi4ywOQPvnkE6m2tlYqKCiQdDqd9Prr\nr0utra3S2rVrJZPJJH311Vcne+gdfPbZZx2FDRUVFdI111wjxcTESE1NTYPiMxjoiDnyxHMqzI+S\nJObIgcKJmCOFuDwEj8cjPfroo1JISIik0+mkKVOmSFlZWSd7WEfkvffek4DDHqtWrZIkSZJ27Ngh\nnXnmmZJOp5NCQkKkxx9/XPJ4PCd30IcASGq1WjIYDF0eB0+mBQUF0rnnnisZDAbJ399fuu222yS7\n3X4SR92V8847TwoODpb0er0UGhoqzZs3T8rIyOiyz2D4LA6FgyohJUmuuB05cqSk1WqlmJgY6d//\n/vdJHN3hzJs3TwoMDJR0Op0UHh4uXXHFFVJubm7H9sH4GQwkxBx54jkV5kdJEnPkQOFEzJEKSRrA\n7qQCgUAgEAgEgkGFyLkUCAQCgUAgEPQbQlwKBAKBQCAQCPoNIS4FAoFAIBAIBP2GEJcCgUAgEAgE\ngn5DiEuBQCAQCAQCQb8hxKVAIBAIBAKBoN8Q4lIgEAgEAoFA0G8IcSkQ9IFFixYRGRl5sochEAgE\nAw4xPwraEeJSIBAIBAKBQNBvCHEpEAgEAoFAIOg3hLgUDDrsdjsPPfQQCQkJ+Pn5MXXqVDIzMwFY\nuHAhZ555Jg8++CDBwcGEhoZy33334XQ6O47Pzs7mnHPOITAwkMjISG6++WYaGxs7tttsNh555BGS\nk5Px9fUlPj6e999/v8sY3nzzTWJjYzGZTFx66aU0NTWdmIsXCASCIyDmR8FAQIhLwaDjz3/+M5s3\nb2bNmjVUV1dz2WWXMWfOHBoaGgDYtGkTarWa4uJiVq9ezVdffcVzzz0HgMViYebMmQwbNoyioiIy\nMjLYu3cv1113Xcf5b7zxRpYtW8Z3331HU1MT69evJy0trWN7RUUFe/fuJTs7m71797J9+3ZefPHF\nE/ozEAgEgu4Q86NgQCAJBIOImpoaCZD27t3b5fXExETpf//7n/T4449LwcHBksvl6tj2+uuvS/Hx\n8ZIkSdLHH38sBQYGSk6ns2P7tm3bJEAqLy+XqqurJUDKyMjo9v3fe+89SaPRSA6Ho+O1e++9V5o7\nd25/XqZAIBD0GTE/CgYK6pMpbAWCvrJ//34AJkyY0OV1h8NBSUkJAFFRUahUqo5tcXFxFBcXA1Bc\nXExMTAxqdeevfmJiIgBFRUUoFAoAUlJSehxDYGAgXl5eHf83GAxYLJZjuSyBQCA4ZsT8KBgoiGVx\nwaAiNDQUgKysLBoaGjoeVquVBx54AJAnSLfb3XFMQUFBhz1GVFQURUVFuFyuju15eXkAREdHExsb\nC8C+fftOxOUIBAJBvyHmR8FAQYhLwaAiJiaGiy66iNtuu43CwkJAzhNasmQJ5eXlANTV1fHkk0/S\n2tpKTk4Ozz//PDfccAMA5513Hmq1moceegibzUZFRQV333038+bNIzQ0lKCgIK688kpuu+02cnJy\nACgvL2fbtm0n54IFAoGgl4j5UTBQEOJSMOj4+OOPGTNmDLNmzcLX15eUlBTefvttJEkC5CUhh8NB\nZGQkU6dO5aKLLuq4azcajSxfvpwdO3YQGRnJmDFjSExM7FLt+PbbbzNt2jTOOeccfHx8mDx5Mrt3\n7z4p1yoQCAR9QcyPgoGAQmr/jRMITgEWLlzIihUrWL9+/ckeikAgEAwoxPwoOFGIyKVAIBAIBAKB\noN8Q4lIgEAgEAoFA0G+IZXGBQCAQCAQCQb8hIpcCgUAgEAgEgn5DiEuBQCAQCAQCQb8hxKVAIBAI\nBAKBoN8Q4lIgEAgEAoFA0G8IcSkQCAQCgUAg6DeEuBQIBAKBQCAQ9BtCXAoEAoFAIBAI+g0hLgUC\ngUAgEAgE/cb/B7GiLuiWDqxmAAAAAElFTkSuQmCC\n" + "image/png": "iVBORw0KGgoAAAANSUhEUgAAApcAAAGcCAYAAACMQ4vPAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\n" } } ], @@ -523,7 +524,7 @@ "fig=plotdd(dd[0].mean(axis=2), dd[1].mean(axis=2))\n", "fig.show()" ], - "id": "6ff36a31" + "id": "5920c3b9" }, { "cell_type": "markdown", @@ -531,11 +532,11 @@ "source": [ "## Double Descent: Low Noise" ], - "id": "85fdf241-a49c-4c97-a2d7-77089c7108c0" + "id": "4cc50cbd-ea6f-4ed6-bde7-e5cc6c161609" }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -561,18 +562,18 @@ "ytest = f(xtest.T) + sigma*torch.randn(xtest.shape[0])\n", "ddlowsig = doubledescentdemo(x,y,xtest,ytest,f, lr=0.05)" ], - "id": "e6e337fa" + "id": "32463926" }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 10, "metadata": {}, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ - "/tmp/ipykernel_124509/1806854767.py:2: UserWarning:\n", + "/tmp/ipykernel_154378/1806854767.py:2: UserWarning:\n", "\n", "FigureCanvasAgg is non-interactive, and thus cannot be shown\n" ] @@ -581,7 +582,7 @@ "output_type": "display_data", "metadata": {}, "data": { - "image/png": "iVBORw0KGgoAAAANSUhEUgAAAqAAAAGcCAYAAAAGbBKOAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\n" + "image/png": "iVBORw0KGgoAAAANSUhEUgAAApcAAAGcCAYAAACMQ4vPAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90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\n" } } ], @@ -589,7 +590,7 @@ "fig=plotdd(ddlowsig[0].mean(axis=2), ddlowsig[1].mean(axis=2))\n", "fig.show()" ], - "id": "0480d44d" + "id": "11c7b6a4" }, { "cell_type": "markdown", @@ -676,7 +677,7 @@ "networks, but neural networks are commonly used as one of the parts of\n", "diffusion models." ], - "id": "799893b4-41de-4d72-a7c6-e3910ed7c022" + "id": "77382f92-41ce-4737-a4c1-cdf01766f1c2" } ], "nbformat": 4, diff --git a/paul/neuralnets_files/figure-revealjs/cell-11-output-1.png b/paul/neuralnets_files/figure-revealjs/cell-11-output-1.png index 36757e8..5f60f81 100644 Binary files a/paul/neuralnets_files/figure-revealjs/cell-11-output-1.png and b/paul/neuralnets_files/figure-revealjs/cell-11-output-1.png differ diff --git a/paul/neuralnets_files/figure-revealjs/cell-9-output-1.png b/paul/neuralnets_files/figure-revealjs/cell-9-output-1.png index 3c3f217..defc866 100644 Binary files a/paul/neuralnets_files/figure-revealjs/cell-9-output-1.png and b/paul/neuralnets_files/figure-revealjs/cell-9-output-1.png differ diff --git a/paul/search.json b/paul/search.json index 70cc6a5..c400526 100644 --- a/paul/search.json +++ b/paul/search.json @@ -1327,7 +1327,7 @@ "href": "neuralnets.html#single-layer-perceptron", "title": "Neural Networks", "section": "Single Layer Perceptron", - "text": "Single Layer Perceptron\n\n\\(x_i \\in \\R^d\\), want to approximate some \\(f: \\R^d \\to \\R\\)\nApproximate by \\[\n\\begin{align*}\nf(x_i; \\mathbf{w},\\mathbf{b}) = \\psi_1\\left( \\sum_{u=1}^m w_{u,1} \\psi_0( x_i'w_{u,0} + b_{u,0}) + b_{u,1} \\right)\n\\end{align}\n\\] where\n\nWeights: \\(w_{u,1} \\in \\R\\), \\(w_{u,0} \\in \\R^d\\)\nBiases: \\(b_{u,1}, b_{u,0} \\in \\R\\)\nActivation functions \\(\\psi_1, \\psi_0: \\R \\to \\R\\)\nWidth: \\(m\\)" + "text": "Single Layer Perceptron\n\n\\(x_i \\in \\R^d\\), want to approximate some \\(f: \\R^d \\to \\R\\)\nApproximate by \\[\n\\begin{align*}\nf(x_i; \\mathbf{w},\\mathbf{b}) =\n\\psi_1 \\left( \\sum_{u=1}^m w_{u,1} \\psi_0( x_i'w_{u,0} + b_{u,0}) + b_{u,1} \\right)\n\\end{align*}\n\\] where\n\nWeights: \\(w_{u,1} \\in \\R\\), \\(w_{u,0} \\in \\R^d\\)\nBiases: \\(b_{u,1}, b_{u,0} \\in \\R\\)\nActivation functions \\(\\psi_1, \\psi_0: \\R \\to \\R\\)\nWidth: \\(m\\)" }, { "objectID": "neuralnets.html#activation-functions", @@ -1362,7 +1362,7 @@ "href": "neuralnets.html#computing-gradients", "title": "Neural Networks", "section": "Computing Gradients", - "text": "Computing Gradients\n\nAutomatic differentiation: automatically use chainrule on each step of computation\nE.g. \\(\\ell(\\theta) = f(g(h(\\theta)))\\)\n\n\\(\\ell : \\R^p \\to \\R\\), \\(h: \\R^p \\to \\R^q\\), \\(g: \\R^q \\to \\R^j\\), \\(f: \\R^j \\to \\R\\) \\[\n\\left(\\nabla \\ell(\\theta)\\riight)^T = & \\underbrace{Df_{g(h(\\theta))}}_{1 \\times j} \\underbrace{Dg_{h(\\theta)}}_{j \\times q} \\underbrace{Dh_\\theta}_{q \\times p}\n\\]\n\nForward mode:\n\nCalculate \\(h(\\theta)\\) and \\(D_1=Dh_\\theta\\)\nCalculate \\(g(h(\\theta))\\) and \\(Dg_{h(\\theta)}\\), multiply \\(D_2=Dg_{h(\\theta)} D_1\\) (\\(jqp\\) scalar products and additions)\nCalculate \\(f(g(h(\\theta)))\\) and \\(Df_{g(h(\\theta))}\\), multiply \\(Df_{g(h(\\theta))} D_2\\) (\\(1jp\\) scalar products and additions)\n\n\nWork to propagate derivative \\(\\propto jqp + 1jp\\)" + "text": "Computing Gradients\n\nAutomatic differentiation: automatically use chainrule on each step of computation\nE.g. \\(\\ell(\\theta) = f(g(h(\\theta)))\\)\n\n\\(\\ell : \\R^p \\to \\R\\), \\(h: \\R^p \\to \\R^q\\), \\(g: \\R^q \\to \\R^j\\), \\(f: \\R^j \\to \\R\\) \\[\n\\left(\\nabla \\ell(\\theta)\\riight)^T = \\underbrace{Df_{g(h(\\theta))}}_{1 \\times j} \\underbrace{Dg_{h(\\theta)}}_{j \\times q} \\underbrace{Dh_\\theta}_{q \\times p}\n\\]\n\nForward mode:\n\nCalculate \\(h(\\theta)\\) and \\(D_1=Dh_\\theta\\)\nCalculate \\(g(h(\\theta))\\) and \\(Dg_{h(\\theta)}\\), multiply \\(D_2=Dg_{h(\\theta)} D_1\\) (\\(jqp\\) scalar products and additions)\nCalculate \\(f(g(h(\\theta)))\\) and \\(Df_{g(h(\\theta))}\\), multiply \\(Df_{g(h(\\theta))} D_2\\) (\\(1jp\\) scalar products and additions)\n\n\nWork to propagate derivative \\(\\propto jqp + 1jp\\)" }, { "objectID": "neuralnets.html#computing-gradients-1", @@ -1390,7 +1390,7 @@ "href": "neuralnets.html#multi-layer-perceptron-1", "title": "Neural Networks", "section": "Multi Layer Perceptron", - "text": "Multi Layer Perceptron\n\nmlp = multilayer(1,4,4,nn.ReLU())\nprint(count_parameters(mlp))\noptimizer = torch.optim.Adam(mlp.parameters(), lr=0.01)\nfig, ax = plt.subplots()\nepochs = 1000\nfor i in range(epochs):\n if (i % 50) == 0 :\n ax.plot(xlin,mlp(xlin.reshape(-1,1)).data, alpha=i/epochs, color='k')\n mlp.zero_grad()\n loss = lossfn(y,mlp(x))\n #print(f\"{i}: {loss.item()}\")\n optimizer.zero_grad()\n loss.backward()\n optimizer.step()\n\nax.plot(xlin, f(xlin), label=\"f\", lw=8)\nax.scatter(x.flatten(),y.flatten())\nfig.show()\n\n73" + "text": "Multi Layer Perceptron\n\n\nCode\nmlp = multilayer(1,4,4,nn.ReLU())\nprint(count_parameters(mlp))\noptimizer = torch.optim.Adam(mlp.parameters(), lr=0.01)\nfig, ax = plt.subplots()\nepochs = 1000\nfor i in range(epochs):\n if (i % 50) == 0 :\n ax.plot(xlin,mlp(xlin.reshape(-1,1)).data, alpha=i/epochs, color='k')\n mlp.zero_grad()\n loss = lossfn(y,mlp(x))\n #print(f\"{i}: {loss.item()}\")\n optimizer.zero_grad()\n loss.backward()\n optimizer.step()\n\nax.plot(xlin, f(xlin), label=\"f\", lw=8)\nax.scatter(x.flatten(),y.flatten())\nfig.show()\n\n\n73" }, { "objectID": "neuralnets.html#overparameterization",