{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "08bdb0d8-6bef-4726-8824-b808d1a1a132",
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "os.environ['CUDA_VISIBLE_DEVICES'] = '0'"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d8c405a0-5522-414f-b717-4c29dcaffc57",
   "metadata": {},
   "source": [
    "### Tutorial C2: Plotting\n",
    "\n",
    "A crucial component of conveying what a model has learned is creating visuals of its findings. A gap in the visualization ecosystem is the production of plots showing per-character weights (called logo plots). Some packages, such as `logomaker`, provide core functionality but can require a bit of additional boilerplate code at each call. Accordingly, `tangermeme` provides some basic plotting tools that cover making the logo plot itself as well as annotating the plot with important sites. These plots are not meant to be the most aesthetically appealing but rather to aid in the discovery process. We will see how these plots can be used to display both the observed and the hypothetical attribution values.\n",
    "\n",
    "#### Logo Plots\n",
    "\n",
    "Simply, logo plots are those where characters are shown in a sequence and the height of those characters correspond to some meaningful quantity. These can be made using the `plot_logo` function which requires an art board to plot on and a `(len(alphabet), length)` tensor of values. There are several additional optional parameters that we will explore as well.\n",
    "\n",
    "We can start off by just trying to plot a one-hot encoding. Basically, at each position, the observed character will have a weight of 1. When making these plots, I like to use the `whitegrid` style from seaborn because I find it to be aesthetically pleasant."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "1b99eedb-47fd-4220-b954-26a068815cf0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import torch\n",
    "from tangermeme.utils import random_one_hot\n",
    "from matplotlib import pyplot as plt\n",
    "import seaborn; seaborn.set_style('whitegrid')\n",
    "from tangermeme.plot import plot_logo\n",
    "\n",
    "X = random_one_hot((1, 4, 2000), random_state=0).type(torch.float32)\n",
    "\n",
    "plt.figure(figsize=(10, 2))\n",
    "ax = plt.subplot(111)\n",
    "plot_logo(X[0, :, 950:1050], ax=ax)\n",
    "\n",
    "plt.xlabel(\"Genomic Position\")\n",
    "plt.ylabel(\"Value\")\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "20ea3845-99f4-432f-a473-6248bbec96bd",
   "metadata": {},
   "source": [
    "There are a few notes to be aware of here. The first is that you can continue to annotate the artboard that has the logo on it using standard matplotlib commands. The `plot_logo` function itself will not add x- or y-labels or titles or anything else. It will just create the central panel. The second is that the color default for `logomaker`, which is what the `plot_logo` function is wrapping, is what you are seeing above. The third is that you must create a subplot as shown above and pass that artboard into the `plot_logo` function. As a final note, you should be careful about the amount of sequence you are visualizing. Making these plots is more time consuming than one might expect (not a crazy amount of time, but just more than you might expect) and if too many characters are visualized it may be challenging to actually make out their heights or the motifs they are comprising.\n",
    "\n",
    "Past these notes, the result is exactly what one might expect. Given a one-hot encoding, the `logo` displays the characters that are observed at a uniform height of 1.\n",
    "\n",
    "However, we do not have to only plot one character per position. If we want to plot values for multiple characters at each position, all we need to do is pass in values for multiple characters at those positions. As a concrete example, let's just set all the values for the middle position in the sequence to 1 and see what happens."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "34bd43cc-c5f1-441a-8460-d0e5bdd0a24f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import torch\n",
    "\n",
    "X2 = torch.clone(X)\n",
    "X2[0, :, 1000] = 1\n",
    "\n",
    "plt.figure(figsize=(10, 2))\n",
    "ax = plt.subplot(111)\n",
    "plot_logo(X2[0, :, 950:1050], ax=ax)\n",
    "\n",
    "plt.xlabel(\"Genomic Position\")\n",
    "plt.ylabel(\"Value\")\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "28054adf-6a1b-4fe2-8b55-3aa616588806",
   "metadata": {},
   "source": [
    "Unsurprisingly, we see that at that one position now each character has a value of 1 and is stacked on top of each other. As a more extreme example, what happens if we just plot random values? "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "d85fb50a-f65c-4766-bb62-950aa8d26c0f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "torch.manual_seed(0)\n",
    "X3 = torch.randn(4, 100)\n",
    "\n",
    "plt.figure(figsize=(10, 2))\n",
    "ax = plt.subplot(111)\n",
    "plot_logo(X3, ax=ax)\n",
    "\n",
    "plt.xlabel(\"Genomic Position\")\n",
    "plt.ylabel(\"Value\")\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "281f67c7-de44-474d-814e-1921c5a81d14",
   "metadata": {},
   "source": [
    "An important note about these plots is that characters are first partitioned into positive and negative attributions and positive characters are stacked above 0 and negative characters are stacked, upside-down, below 0. Their ordering in the stack is equal to their value, with the largest values appearing on the top (or on the bottom in the negative stack).\n",
    "\n",
    "#### Attribution Logo Plots\n",
    "\n",
    "Perhaps the most relevant values to be displaying in a logo plot are the per-character attribution values from a model. Naturally, after calculating these values and having the intuition that they are highlighting motifs that are driving model predictions, one would want to see by eye what motifs are popping out to get a better sense for what is driving predictions in the system. We can demonstrate this using the Beluga model."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "a122c660-69f2-4e53-948e-ce1ad90774ba",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<All keys matched successfully>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from model import Beluga\n",
    "\n",
    "model = Beluga()\n",
    "model.load_state_dict(torch.load(\"deepsea.beluga.torch\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9daf0118-790a-4956-8787-f32cebaf5adf",
   "metadata": {},
   "source": [
    "We can then add an AP-1 motif into the middle of our sequence of interest and use `deep_lift_shap` to calculate attributions for one of the AP-1 protein binding tasks. Intuitively, this should lead to attributions highlighting the motif of interest."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "7be70142-55b1-4b38-8f05-2278ee9d4699",
   "metadata": {},
   "outputs": [],
   "source": [
    "from tangermeme.ersatz import substitute\n",
    "from tangermeme.deep_lift_shap import deep_lift_shap\n",
    "\n",
    "X = substitute(X, \"GTGACTCATC\")\n",
    "X_attr = deep_lift_shap(model, X, target=267, device='cpu')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "baaf9fae-31b5-4f5e-8937-70a1bc512741",
   "metadata": {},
   "source": [
    "Now, we can plot these attributions just like we plotted the one-hot encodings and random values before."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "08f596bc-6760-4bed-a797-cf3781fd4685",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x200 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 2))\n",
    "ax = plt.subplot(111)\n",
    "plot_logo(X_attr[0, :, 950:1050], ax=ax)\n",
    "\n",
    "plt.xlabel(\"Genomic Position\")\n",
    "plt.ylabel(\"Attribution\")\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "caf435f6-91fd-4398-add0-b820114e866b",
   "metadata": {},
   "source": [
    "As expected, the model attributions highlight the AP-1 motif that was added. Using only a few commands you get now get attributions for any model at a locus and plot them.\n",
    "\n",
    "#### Coloring the Characters\n",
    "\n",
    "If you don't like the default coloring scheme you can pass in your own color using the `color` parameter. Right now, this will assign the same color to every character, but it can be useful when comparing attributions at the same locus across several models that are each colored differently, or when you are displaying different motifs and want to color them according to some other label."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "0625406d-5ffd-4fa9-a91b-c5ef3182be52",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x250 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 2.5))\n",
    "ax = plt.subplot(211)\n",
    "plot_logo(X_attr[0, :, 950:1050], ax=ax, color='#F28500')\n",
    "plt.ylabel(\"Attribution\")\n",
    "\n",
    "ax = plt.subplot(212)\n",
    "plot_logo(X_attr[0, :, 950:1050], ax=ax, color='m')\n",
    "\n",
    "plt.xlabel(\"Genomic Position\")\n",
    "plt.ylabel(\"Attribution\")\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5ec6d223-548e-4849-99b2-d2a52a3eb8a9",
   "metadata": {},
   "source": [
    "#### Annotating a Logo Plot\n",
    "\n",
    "Frequently when looking at these plots it can be useful to include sequence annotations to help explain what is happening. Basically, when looking at a span of highlighted characters it can be challenging to know what the span correspondings to, e.g., what protein binding site those characters correspond to. Actually, these sort of plot can be *more* useful when *multiple* binding sites appear close by or *even overlapping* with each other. If you restrict yourself to only looking at one sort of protein binding site you may miss something important happening nearby. \n",
    "\n",
    "Regardless, the annotations must be a pandas DataFrame in BED format. Specifically, the columns of the annotation must have the columns `motif_name start end strand score` where the name can be the chromosome or it can be something more informative, such as the name of the motif, and both start and end are 0-indexed. Currently, `strand` is not used in the plot but this might change in the future. The score refers to some notion of confidence or importance or strength of the annotation and will displayed but also used to order annotations that overlap. Additional columns can be included in the DataFrame but they will be ignored."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "c7695630-6def-4832-8e3c-409ced1c3b3f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1oAAAEmCAYAAAB73eENAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8fJSN1AAAACXBIWXMAAA9hAAAPYQGoP6dpAABWwElEQVR4nO3deXhTVf7H8XeabrSUtSBL2ZGiULbKKLsWRMUNRETGbWCEcVcUUAQdRbGOgjP+ZBg2BxURRBAGFTdAERERFCy7sskOpWVpy9I2ub8/TpM2NG3Tkra0/byep09uzr259yQcknxzzvkem2VZFiIiIiIiIuI3AaVdARERERERkfJGgZaIiIiIiIifKdASERERERHxMwVaIiIiIiIifqZAS0RERERExM8UaImIiIiIiPiZAi0RERERERE/U6AlIiIiIiLiZwq0RERERERE/EyBViE5nU4SEhJwOp2lXRUp59TWpKRUxLa27uA6bC/asL1ow7Ks0q5OhVER25qUDrU1uRgo0Coky7LIyMjQB7MUO7U1KSkVsa2lO9Ld2w7LUYo1qVgqYluT0qG2JhcDBVoiIlLh5Ay0cm6LiIj4iwItERGpcBRoiYhIcVOgJSIiFY4CLRERKW4KtEREpMLJcGR43RYREfEXBVoiIlLhqEdLRESKmwItERGpcBRoiYhIcVOgJSIiFY4CLRERKW4KtEREpMLJcGZ43RYREfEXBVoiIlLhqEdLRESKmwItERGpcBRoiYhIcVOgJSIiFY4CLRERKW4KtEREpMLROloiIlLcFGiJiEiFox4tEREpbgq0RESkwlGgJSIixU2BloiIVDgKtEREpLgp0BIRkQpH62iJiEhxU6AlIiIVjnq0RESkuCnQEhGR8smy4JenIPH7XLsUaImISHFToCUiIuXTgcWw/Q1YeRtkpHrsUqAlIiLFTYGWiIiUT79PNrfnEmH/xx67FGiJiEhxU6AlIiLlj2VB8trs+/sXeuz2SIahBYtFRKQYKNASEZHyJ3UnpB/Pvn/oK3Bmuu+WZo/WxiMbCRsfRtj4MJyWs0SvLSIiJUeBloiIlD9JP3ned5yGk5vdd0sz0DqTecb9p2GLIiLllwItEREpf84PtACS1rg3SzPQOpt51uu2iIiULwq0RESk/Dn+c+6ylN/dmznnZZX0gsXnMs953RYRkfJFgZaIiJQ/aX/kuzvdkU6IPcS9XZLOOc553RYRkfJFgZaIiJQvTgecOZjvIemOdMKCwtzbJUk9WiIiFUOZC7Rmz55NXFwcMTEx3Hbbbaxbty7PY7/66isGDx7MVVddRYcOHRg4cCArV64swdqKiEiJO3sYLEe+h6Q70gkPDndvF4e5c+Hxx8F5XmJBzdESEakYylSgtWTJEuLj43nwwQdZtGgRsbGxDB06lIMHvf9yuXbtWjp37sy0adP4+OOPufLKK3nwwQfZsmVLCddcRERKzOl9BR6S4cwgPCjcve1vu3fD/ffD//0fTJ/uuU9DB0VEKoYyFWjNnDmT/v37M2DAAJo1a8aYMWOoU6cOc+bM8Xr8mDFjGDp0KG3atKFx48Y8+eSTNGrUiOXLl5dwzUVEpMSc3l/gIemOdCoFVXJv+9usWZCWZrZnzPDcp6GDIiIVQ2BpV8BX6enpbN68mWHDhnmUd+nShfXr1/t0DqfTSVpaGtWqVSvUtZ1OJ5ZlAeBwODxuRYqL2pqUlHLX1s4chYDw3OVWIGQ9x0ACqRZcjSpBVbBZNr8/9x9+gPCsKmzdCjt2QJMm5n6mI5PwQLPzXOa58vO6+6DctTW5aKmtSXGy2+0+HWezXBHERe7IkSN0796dOXPm0KFDB3f5lClTWLhwIV9++WWB55gxYwbTp09nyZIl1KxZ0+drJyQkkJFRsul/RURERETk4hMbG+vTcWWmR8vFZrN53LcsK1eZN59++imTJk1i8uTJhQqyAFq3bu3Ro7Vx40ZiYmJ8jmZFikJtTUpKmWtrVavmve/kSdjwNOyYknvfpY9C25cBqPV6LTpFdeLngz8Tc0kMX9z9hd+qt2IF3HKLZ9mgQTAlq0qvrnyV+FXxALzf731ujr7Zb9e+2JW5tiZlltqaXAzKTKBVvXp17HY7x44d8yhPSkoiMjIy38cuWbKEMWPG8Oabb9K5c+dCXzsgIPdUNrvdrv+4UiLU1qSklJm25pr85I3dDucOg9PLMbZMsNuxLIsT507gtDnJJJOUjBS/Pu9vv81dxTVrTNUA0hxppGWaA846z5aN19zPykxbkzJPbU1KU5lJhhEcHEyrVq1YtWqVR/kPP/xA+/bt83zcp59+yjPPPMPEiRO5+uqri7mWIiJS6tKTs7crN4PKTT12OywHFhZBAUEE2YP8ngxj06bcZTlHnysZhohIxVBmerQABg8ezKhRo2jdujXt27fnww8/5NChQ9x5550ATJw4kSNHjvDaa68BJsh6+umnefbZZ2nbti2JiYkAhIaGEhERUWrPQ0REilHOQCv2LQisDMu6Z+/OCqyC7cEEBfg/0Nq1K//9Su8uIlIxlKlAq0+fPhw/fpzJkydz9OhRWrRowbRp06hfvz4AiYmJHDp0yH38hx9+SGZmJuPGjWPcuHHu8n79+vHqq6+WeP1FRKQEuAItWyBccg3YQ6Fqa/fuDIfpXgqyBxFsD/brOlqWBTt35n+MFiwWEakYylSgBXDXXXdx1113ed13fvA0a9askqiSiIhcTNJPmtuqrUyQBXBJz+zdWT1YrqGDhQp28ku+ZFkkJkJqav6n8OjR0tBBEZFyq8zM0RIREfGJMytwqp69FAi1uro3cw4dDLYH+3XoYEHDBuG8OVoaOigiUm4p0BIRkfLFccbcVmmRXRbZyb3p0aPl5zlaBw4UfIx6tEREKgYFWiIiUn44HeCac1WpfnZ5pXoQXAM4LxmGn7MOHj1a8DHq0RIRqRgUaImISPnhzBG45Ay0bDYzZwvcyS/cyTAc/kuGceRIwccoGYaISMWgQEtERMoP17BBgEqXeO7LCrSKc+jg+T1azZvnPkZDB0VEKgYFWiIiUn44cvQQBVX13Fe5CZB76KDDcuBwOvxy+ZyB1q23wq+/5g62zmWeIzwo3Gxr6KCISLmlQEtERMqPnIFW4HkL09vMR567Rytr6CDgt7W0cg4dvP12CAuDhx/2POac4xwRIRHubRERKZ8UaImISPmRc+hgYGWvh7gXLM4aOpiz7EIlJ2dvd8pKdNi7t+cxZzPPEhEc4d4WEZHySYGWiIiUH64eLXsYBNi9HnL+0MGcZRfq9GlzGxkJTZua7csug9q1s485l3mOsKAwAmwBmqMlIlKOKdASEZHyw9WjlUdvFngfOujvQCs62iQ6BHN75ZXZx5xznCMkMIQQe4iGDoqIlGMKtEREpGyxLPN3/n3Lyu7RCorw/ljO69EKKJ4erYYNPctjYrK3z2WeI8QeQrA9WD1aIiLlmAItEREpP5xZgdb5iTBycK+jlXOOlh+SYVgWpKWZ7fwCrbOZZwm2BxMSGKI5WiIi5ZgCLRERKT9cQwd96NHy99DBc+eyO9pyzskCM08LwGk5yXBmaOigiEgFoEBLRETKD9fQQR/maBUpGUY+wxZdwwYBqlXzfFhIiOe1Q+whhASGaOigiEg5pkBLRETKD3egFZbnIe4erRxDB/3Ro+UaNghQtar3Y1yBVbA92MzRUo+WiEi5pUBLRETKD9fQQZv31O6QYx2tnAsW+2EdrZw9WnkGWlmBlXvooHq0RETKLQVaIiJSfrh6tPIJtIprHS1fAi1X8gvX0EElwxARKb8UaImISPlhOcytD4FWUIB/k2EUZuigO727hg6KiJRbCrRERKT8sJzm1haY5yHFtY5WfskwXFyBVbA92D100MqZXENERMoNBVoiIlKOZAUtvvRo2YNKfOigu0cr0AwdtLDIdGZe8LVFROTio0BLRETKD3ePVj7JMHIsWOxOhuGHBYtdgVZwcHY69/PlnKPlurbmaYmIlE8KtEREpBwpONAqrqGDrjlaoaF5H3N+1sGcZSIiUr7kPYhdRESkrDm/R+vIN/B9f7NdpSVc+0OxDx0MzOeTNec6WiGBIR5lIiJSvijQEhGRcuS8OVrOTEg/brYzTgHFl3UwI2v0Yb6BliM766B6tEREyjcNHRQRkfKjEHO0cg4d9MeCxc6sS9vzvrRHMgxXkKceLRGR8kmBloiIlB8+BFrFNXTQFWjl16PlsWBxVo+WkmGIiJRPCrRERKQcyRo6GODbOlr5DR08fRqmToXff/ftyr4EWh7raAVq6KCISHmmOVoiIlJ+uBf/teV5SM45WnllHXQ6oVcvWL3aLD7888/QtGn+l/Yp0NLQQRGRCkM9WiIiUn7YsgIsy5HnIa75WDmHDp6/jtYnn5ggC+DECRgxouBLO7Iume8cLSXDEBGpMBRoiYhIOZL1sZZPoOVL1sGJEz0fs2gR7NmT/5ULNUcrMMQ9dFBztEREyqcyF2jNnj2buLg4YmJiuO2221i3bl2exx49epSnnnqK6667jpYtWzJ+/PgSrKmIiJQ4m2+BVmBAIDabzevQwd9/h5UrPR9jWbB2bf6XLszQwWB7cHaPloYOioiUS2Uq0FqyZAnx8fE8+OCDLFq0iNjYWIYOHcrBgwe9Hp+enk716tV58MEHadmyZQnXVkRESpyPgZYrwPLWo7ViRdEuXZhkGCH2HHO0NHRQRKRcKlOB1syZM+nfvz8DBgygWbNmjBkzhjp16jBnzhyvx0dFRTF27Fj69u1LRERECddWRERKng9ztJwZ2Gw2vtn9DT8f+tmU5VhH67vvinZlVx4OW955ODySYbizDqpHS0SkXCozWQfT09PZvHkzw4YN8yjv0qUL69evL9ZrO51OrKxPUEfWbGfXrUhxUVuTklJm21p4uLn1qHcwBISDFWDKnZj7ALZQcDiwY8dm2bj5g5vNaQLDwcp+/ps2ZZ86J5stx6W8XDs42BQHBZ1XpRycTifhgeEE2YIIDQglPDCcTEdm2Xvti6jMtjUpc9TWpDjZ88t6lIPNsty5cC9qR44coXv37syZM4cOHTq4y6dMmcLChQv58ssv8338PffcQ8uWLRkzZkyhr52QkEBGRkbBB4qIiIiISLkWGxvr03FlpkfLxXbemAzLsnKV+Vvr1q09erQ2btxITEyMz9GsSFGorUlJKbNtrWpVc3vyZHbZltdgy3hofDdc8W84vBy+72f2VWkJvdcQPSmaw6mHPU5146U38kH/D9i5E3L8lscTT8CuXbB4MbzzDvTrl/e14+Ph1VchOhp++sl7lYf8bwgLti5g28Pb2Jy4mf7z+vN89+d5qvNTRX4ZypIy29akzFFbk4tBmQm0qlevjt1u59ixYx7lSUlJREZGFuu1AwJyT2Wz2+36jyslQm1NSkqZa2tpaeY2Z50DnOBMA+usKQ/A3Ad32an0U6RlpnmeKjMNu93O779nnzY6GsaNg8xMaNvWzMFyX8rLtZ1OU5yamvdaWikZKaRlplEpuBLBgcGkZaZx2nG6bL3uflDm2pqUWWprUprKTDKM4OBgWrVqxapVqzzKf/jhB9q3b19KtRIRkYuL7+toeSs7ciS77LHHICDAzL168smCr+z6LpfflBBXhsFge7CSYYiIlHNlJtACGDx4MPPnz2f+/Pns3LmTV155hUOHDnHnnXcCMHHiREaNGuXxmK1bt7J161bS0tJITk5m69at7NixozSqLyIixS3ApEx3B1qXXA23/OFxSH6BVnJydllcXPZ2//75p20HE5SB6QHLS84Fi13p3bVgsYhI+VRmhg4C9OnTh+PHjzN58mSOHj1KixYtmDZtGvXr1wcgMTGRQ4cOeTymb9++7u3Nmzfz6aefUr9+fZYvX16SVRcRkZIQWMncugKtgCAIruZxiC+BVqVK0KJF9v4aNaBLl/wv7Uug5eq9CgoIyl6wWOtoiYiUS2Uq0AK46667uOuuu7zue/XVV3OVbd++vbirJCIiF4uAUHPr9J4p1mk5cXgZVugKtJKSzP2oqOzAyaV27QIu7Uug5ThHiD0Em82moYMiIuVcmQu0RERE8mTPCrQyU73uzrkwsUd5VmDm6tHKGihRKK5AK985WpnnyHBmcNuHt5GWYRJqqEdLRKR8KnSgdezYMf7xj3+wevVqkpOTOX8Zrq1bt/qtciIiIoVSQKDlbdhgznJXoFWvXuEvXSlr1GJBPVpOy8nCbQs9ykREpPwpdKD1zDPPcOjQIR566CFqFzSOQkREpCTZs6KdjAsLtIrSoxUWlnXpfNa395b4QskwRETKp0IHWj///DMffPABl112WXHUR0REpOjcPVopXnf7GmgV5XfE8HBze/q0WVPLyxKMXudjaY6WiEj5VOj07nXr1s01XFBEROSiUNAcrTySZLjmbh0/bu67hgEWhqtHy7IgxXuc53WYoIYOioiUT4UOtJ599lkmTpzI/v37i6M+IiIiRRdwYXO00rN2BwcX/tKuQAvg5Envx6hHS0Sk4ij00MHhw4dz5swZrr32WkJDQwkKCvLY/9NPP/mtciIiIoXiWkfLcRacmRDg+TFXUKDlSmQRElL4S7uGDoL3QMuyrPznaNlseZ9cI0lERMqcQgdazz77bHHUQ0RE5MK5erTA9Gr5sFixq9yyslOzFyXQytmjdeJE7v2ZzkwscgdMRRk6aFlw7BhERuYfn4mISOkpdKDVr1+/4qiHiIjIhbPnCLQyUnIFWvmto+VwWICJWi400PLWo5VXQFXYoYN790JcHOzcCe3awYIF0LRpoU4hIiIloEgLFjscDpYuXcrOnTux2Ww0b96cuLg47Ha7v+snIiLiu5yBVnoShDfw2J1XjxbA2fRMwAyHL8ocrYKGDuYVUBWmR+vQoewgC2DDBrj+ekhIgNDQfB8qIiIlrNCB1h9//MGwYcM4cuQITZo0wbIspk6dSp06dZg2bRoNGzYsjnqKiIgULGegdeYQVG/nsTu/QCvDmY4r0CrKlKj8erQsyz89Wi++mB1kufz+u0lLX5RFlkVEpPgUOuvgyy+/TIMGDfj2229ZuHAhixYt4ptvviEqKoqXX365OOooIiIVUcoOWNIG5oXDqjvh7NGCHxOQY8zfmUO5ducXaDnI3neuCIkAcwZarvW4XA4cyHthYl8XLE5JgXffLXy9RESkdBQ60Fq7di0jR46kWrVq7rLq1aszYsQI1q5d68+6iYhIRZW6G5ZdDSc3guM07P0QlseZTIL5sdmye7VO78u1O691tAAcZO8rSqBlt2fP7Tp/BZSNG30YOmhZ2X8uOe4vWwZns2KygAC49Vb1YomIXMwKHWgFBweTlpaWqzwtLS1XqncREZEi2fgCnDngWXZyM+QTKLm5Mg+e3Jhrl6tH65GOj7DhbxvY8LcNxDWJA8zQwcCsAfXpeXd85cvVq7XvvBhv48a8hw5mOjNxWs4Cz/3tt9nb//oXLFoEmzdDq1ZFqqqIiBSzQgdaV199Nc8//zy//vorlmVhWRYbNmzghRdeIC4urjjqKCIiFUlGCuydW/THB2ZlpTi+IdcuV6DVsGpD2tZpS9s6bYkMi3TvcwVaRenRguxAa/duz/ING/Kfi+XLPK0dO8xtkybw8MNmu1o1mDlTKd5FRC5GhQ60xo4dS4MGDRg4cCAxMTHExMQwaNAgGjZsyJgxY4qjjiIiUpEcWQbOrC6lujdAr5XQ4lHfHx9cw9ym7oT0E2YYYhZXoBVsz04r6NpOd6S7M/cVNdByZR7cvt3MqQKzptavv+Y/F8uXeVq7dpnbnj3N0EGXjh2hTp2i1VdERIpPobMOVqlShf/85z/s2bOHXbt2YVkWzZs3p1GjRsVRPxERqWhcPVGV6kPXBRBYCWp19VyMOD/B1bO3f3sLTu9133WtoxVkzx7qHhQQ5N5Xo4YJjLyMkPdJ5crm1umEdevgmmtg5UpzP7807gWleLes7F6y9u1z71ePlojIxadI62gBNG7cmMaNG/uxKiIiIpieKIAGt5kgy6XNy2DzYb3GkBrZ2xuf99jlrUfLFWilO9KpUcP0HB3KnbDQJ7VrZ2+vXGkCrQ8/NPddwwNvaH4D1ze/HoCZG2ay4fCGAocOHj6cnQgjJqZodRMRkZLlU6AVHx/P448/TlhYGPHx8fkeO3r0aL9UTEREKoDDy+DErxDeBOr1AXsIpGaNkavR0fNYu4+rCAfXyHOXK9ByBVfgOXSwRtZDDx707VLnu+SS7O3/+z8zh2r2bGjZMrvXqlvDbjx25WMArDmwxgRaBfRo5Qz8auT99ERE5CLiU6C1ZcsWMjMz3dsiIiIXJDMN1tzvmfQivAnELcvu0arWtmjn9iHQ8ujRsmf3aNWsacoOHMj1UJ/k7NFKSoLHH8++75qHFRKYvdZXiD3EY19ecs4Zcw1PFBGRi5tPgdasWbO8bouIiH+sXAnLl0NoKNx003kpu4+uhK2vQXoSVG8PLR6DKtGlVle/SBibO7Ng2m44uS17YeKcc60Kw5ceLS9ztPzRo5Uz0Dqfa3igK7jKuV3Q0MGcgVZERNHqJiIiJavQWQdHjx5NampqrvLTp09r2KCISCGdOgW33ALdu8MLL8Azz0Dr1jB9etYBm+NhWXc4+CkcWw2/T4bP23gualvWnEuGHVPMduWmcMV/4PLREFQFLAeQ9dyCsiKKjX+HH+4yf0lrCz5/SGSeu1wLFnvLOpjhzHAHWgcO5M48uH17wZfOOXTwfK7hgR49WlnbviTDEBGRsqXQgdaiRYs45yXv7dmzZ/nf//7nl0qJiFQUw4bBJ5+YbZsN7Fm5HnbsAE5tg4SsZTMCI0zmvaBq2anPy6rE78FxFoKqQu81cOkD0PYVuO5nzyDJtR7Woa/gjw/M3+l93s+ZU1j9PHd5m6OVc+igK9DKzDSLDLvs3g0JCQVfOt9Ay0uPlivIK6hHKyT7IUXOiCgiIiXL50ArNTWVlJQULMsiLS2N1NRU99/Jkyf57rvvqKEZuiIiPtu2LTsj3S23wNGjcPo0/Pe/WfNwdr8HWFC5Ody41awn1fcAXPpQaVb7wh3/2dzWv9kzsIpoDjVy5C53FLy2lFeVovLcVdA6Wq45WgCLF2dvv/OOb5fOLxmv1x4tu289WjkDLdf6XCIicnHzOb37FVdcgc1mw2azcd111+Xab7PZePTRQiwoKSJSwS1bZm5DQ+G996BqVXN/8GBITwdW/mAKWj6Z3UsTGAZX/Nu/FXGNSyup8WnH15vbWl1z7wvIkVkwMzV7+GBhhBUcaOU1R6tevexjJ082QzlTUsz25MkFX7pxY9Mz6e2ldCW8yBnkuYKugpJh5Jz7deJEwfUQEZHS53Og9d5772FZFvfddx9vvfUWVV3fCICgoCDq1avHJfmNmRApg44dM0OGQkMhOhqCfcwuLeKLb781t9dfnx1kuQQHObPnI9XN/eNWYRw/bhbPTU+HSy81fzYbcOYIbHkF/vgYGi2CRfWh1p9MIBfe8IKuma9zSeY2pJa5PfINHPvRbNe4wgyPzDgBGaegUl3oOBU2vwz7PvLt/MHVwR6au0fMFuResNhb1sEMRwYtW2YfnpRkEpPs32/eC3y6dDA0aAB79+bedyFDB+vVM+dOT4fNm6FzZ9/qIyIipcfnQOtPf/oTAMuWLaNevXrYtAy9lGM//WR+yV6xApxOUxYeboYP3X57ydTB4TC3aWlQpUrJXFNK1p495rZJEy87M0+D47TZDq1jbre9AWey0uE1/StUvSzf8x88CA8/DJ9+auYcudx8MyxekArLekDKdqjU2Oyo+Sc4/BWk/Fa8gZZrjllgVp7yQ1/C1n+Y7RaPmQQZx3+BU9tNdsXqbaBSPe/n8sZmM8MHU3d4lldrTfrR/NfRqlfPDNt05Xz65ptCPzuaNcsj0LqAoYN2u+kt++03WL++8HUSEZGS53Og5XLw4EEO5pP3tmPHjnnuEykLtmyBq6+GM2cgLg7uucfMj1ixwnPR0OLyyy/wj3/A99+bOSL16kFkJLz5Jtx6a/FfvyKyLPjxR/j6axP8BAWZHsz+/aFRo+K7riuvkNd03VZG9nZA1hfz3bPgxAazfUlcvoGW02l6yjZuNF/8x441X9S3bjU/JLD3QxNkVW0F13wHW3ZD90WQfgyszDzP6xf2SuY246T3/a5A6/jPEHVL0a5R9bLcgVb1WNIPm/lheQ0dtNnM4sLr1hXtsgDNm3sP0Lymdw/0Lb07mID8t99MT6hlZfVKYt6zIiPzTy0vIiIlr9CB1j333JOrLGfv1tatWy+sRiKl7F//MkFWx47mi3dAVsqYQYOKfwrLzz9Dly7mC/j995uyhQthzRrNyyguKSnQr5+ZL1W9ugmuK1WCmTPN0LHx4y/wApbTZM07ugLOHABbIFRuAg3voHJlsxaW12FpgTlWpc04bpJGVL0czuyHcwWPY/vqKxNkBQWZ7aZNTfnVV8ODDwIrFpmCFo9BcI5xi5V8HAJuOeHAp7B3Hpz+wwzTC4uCejdDsyH5P7ZS1nwzV+/cZSMgrAH8/Ii5Xzmrsgc/h9YvZEcUhVHjCjjwyXllsaQ7VgN5L1gMcNVVFxZode6cIz1/lnr1LmzBYjABM5hgec4c+POf4exZ+OtfYcGCotfXJ/n9Gyj3vIhcAMuCDRtMgqgjR8xn8GWXmffi4GDMMPdDX5jPP8c581lTuztUaVnQqUtdoQOttWs91zDJyMhg69atvPnmmwwfPtxvFRMpLUuXmtt+/bKDLJfiHjE7frwJsm6+GaZMMW88cXFw7bXFe92K7I03TJDVtKnp6cmZde5kHh0uPnOcheVxZv2rutfDJT3BZocTG+Hw17RpE83q1XkMBQsIgoho0+t0PAHqxEHn2bD2AdgxtcBLu3pUWrXKDrI8uIKc8MbZZYubgXXGpFuPeTH/C6y+F/6YDbW6Q7OhZpHg1F2Q8nuBdaNGB7NY8eGlEP24CSJzDg2sktVTl7wWtrxqArEz+ws+r8c1rvC8HxAE1du752h5GzroWmOre3eYNKlwl8vpmmtyl3XtCjsd+czRKmDooKteroQcQ4aYRa6/+870aBU7VzDlehNUcCVSfjjOwZ5ZsG8BpO01iYiCa0CNWLhyRrFe+pdfTAKohASIjYX27SEjA956C/7v/yDukldg04vmc6L+LWa9xcNL4chy6DK34AuUskIHWhFexrh06dKF4OBg4uPj+fjjj/1SsbzMnj2bt99+m8TERC699FKeffZZrrjiijyP/+mnn3j11Vf5/fffqV27Nvfffz+DBg0q1jpK+ZDv94iMFEheZ3oWHGdNZrTwpmYuiQ8S0xL5aIuZ2H9L9C1EVTFZ0lxfuLt6ScYmRZeZaXoLf/3VJIZIT4dq1cwb+sKF5pg77vAMsiB3gopC2/m2CbLq3wzd/md6gVzzk2w2rrkGpk6F1ath0yazUDGYtrdjB1waeZUJtPa8ZwKt8+UT+Qc8Yxqwa65fLsHVze25xOyyiEshcSlk5F6U3sOJjSbICq0D13xlgpjT+6BaTNYTcIItn9VDqncwt4e/hOT1nindAer0zt5OeDZrLbFCfrGvHut5v1Z3CKrsNb17zqGDAD16mDlR5792rjXOCtKokRnmt3t3dlnXrrDlRD4LFvswdLB3b9NDmZFhfpCZMuW8A5wOM+Ty5CZIP5F1gUiIvMr825YWywn7Pob9H0PaYajxOnx7EwQ4oc1LZm6giADm//fx42a0RXCwGRKcc3mHYvHDn83/z+Z/g9i3IPQS8/0m2XSubNsG775rftjJyDA9TmDmri9ZUvTLOhxmtNBvv8GoUWbahMf+41vhi7EmcVKfTdmfW1BmfuwpdKCVlxo1arA756dKMViyZAnx8fH8/e9/p0OHDsydO5ehQ4fy2WefUa9e7onS+/btY9iwYQwYMIDXX3+dX375hRdffJEaNWp4TVFfLJwO2DYRDn5qhgKFNYCAQHBmQs2O0Oz+kqlHfjLPZAUMp82v7cHVILhm8XffXKSuvRamTTNfwJ95xrNXy+mwCNgwHH7/NzToD/VvNV9k0k/Aoc/dgVZiWiJPL32aDGcGnaI68VDH7HWPLMtiyOIhrNm/hkpBlZi7aS7f3PcN9gA7zZubOUKbNpXscy4p6elw+LBJ8JGZad6k69SBsLALP/cfJ/5g4PyBpDvS6VC3A9NunkaALYBNm+CGG8xwhLFjTQ9hRIQZFnj0qJnbAma/36XuNLdVWpn/TweXwA+DIDMNal5Jr14/Eh5uXo/rr4dx40xw9+67ZtjEPx66Hna/a/4CQqBOT0j+Jfv8+fQyXL8CXn3V9HbkDOLAfLjZ694AR5bBrncg6g6zo/nfTKBVkDNZkxVD64A9xLyHLO0KZw6b+V39T3gORzxfra4QUhvOHYWlXSCqH5z4NXt/WD2ofQ0cdU10KsIHaqVLzPCS01k9YfX6AN7Tu+dMhgHmi82AATA3x4+lYWHQs6fvl4+Lg7ffNtvVqpng7a0F5zyuB74nwwAztHXgQHj//dz77Gf3wKdxJltjzIumRy8g0PRcpu4u3UBry6smWG4wALougC27oOuH4Cz7Ky9/+il8/rl5327c2Hwxtizzxfj8L41ykUjbC8c3ZH3vOWOWlAiJhDrXQlDlAh9eXObNg3/+E/btM+sq1q9vPif37YORI8284aJyOOCHH8yQ6EOHzA82ru82fa8/Quz+j82w9thJ5n3j1zFw1nwo/nasIx17NCE11dSxf//sxyYm5nFBHx0/boIsAG9fy+0pmwHLDBEMrg5nE2FxY9yfCbenQICPv4CVkkIHWtu2bctVdvToUaZPn070hbQCH8ycOZP+/fszYMAAAMaMGcP333/PnDlzeOqpp3IdP3fuXOrWrcuYMWMAaNasGRs3buS///1v4QOt9OPmAyv9DGAzv8IGh5sPr4B8Xsbd78CvT0O9G6H7J+Ycv/2f+VU7zUtaqiI4efYkb655k7OZZwkPCufxqx6ncrAPbxYHl8CGp01vTLOhEBhhJqefOwaRncz41+JSUBB3Ib9UnDkCG583v+rW6Q2htQEb4ISwRuYL16mt5kuw46xJA00AWA6o1oYnnmjM+++bN6ReveDuu0169xUr4E8xB/lrzTfNl95O75t/+w3PmC+JGaeg/s2khDagzwd9OJ1xmuFXDWfoJ0MJDAhkWOwwACavncynv33KG73foFpoNYYsHkL89/GM7T6Wp582QxdnzTIT8q+7zvwqvnatCUpuuSX75XE4zJtwQIB507yY4+Lvv4ennjJfRkaMgMsvN69paqqZR3ShST5Onj3JjR/cSGBAIBN7T+SG2TcQGRbJq71eZdYsk567XTt47rncr1NYmBk6+N57ZtjCgAHm17oNG8xcvd69vV3RRw3vgO3/hD8+MPOW6t8MN/4G/zNzlGrWhJdegiefhAMHzFwbl8suAxrcDtVfM+tO7Zxm/nzUvbuZ77dqlfnS/+ST5ovgli2mZ+9/c+8yqd2PLIVvb4Dq/zAJMnxRu7sJYk78CntmQ6M/w637YEmM+X9XEHsItH7ezMlynDGvj4trHa2YF2D5Ss/EHKF1oOZVvr4EZqjm7nfND0gNzOeG1x6t8+ZogWmvOQOtBx4oXA9nnz7Zgdbtt5sv4Oe8DB0sTI8WwIsvmveIw4ezy+rXh2opCyBtNzS+B1o8Cqd+M/++yb+YDJJ1L6QhX6CTm81t5FUQnJVCddWf4chn0OQ+uOqdUqvahZg71/waHxFh3ttq1CjtGkmBfhoKO2dAq7Gm7Z1LND/GnN5reuULyORaXI4dMz+iAHz55QV+7ngxcKCZx9m/v/kh2dVWMzLgdGoNSG5qhn4f+QbqXgtRfeHXZ+HIUvYHP0Zqqvmu0bmz54/PtWqddyHLaToSwIx0yPmBa1ngzDCJnmx2CAihZk0bvXqZ97Q334QOHcwPUwDJyWALjqN6UFVIWgNHvoVLroY70mBxE0jb498XqZgUOtDq27cvNpsN67wvwu3atWP8Bc8az1t6ejqbN29m2LBhHuVdunRhfR65bjds2ECXLl08yrp168aCBQvIyMggKCjI6+PO51w9BGvvPGg5EkfUAOAMjoNL4eQ684HmbdFNl7q3Qv0vIPEH+OVpqNoSIi6HdY+YLw2t/p7/xfP7ZD95km/2fMMjSx6hSnAV7o+9nynrpjBn4xz+0+c/dG5YwEIr6WmQcRZCG0BgTZNO+uiPsHeOGQdrq2Qacnhj08OVedIcY2VClcsh5AI+VXLmmnY9x5wTYrLG7JzJOOOeUxEeHI4965eLxLRE3vv1Pb7Y8QVXRl3Jmv1r6N2sN/e1vY/ajkRI+tkEURGtza8gh76AndPNl7i2r8D6EeZLWJvx4DwNST+ZZAVVt9Di8pF88435QrNyZVaGNkyg07t3HRytJ5svz8t6wiW9IaQ+nFkKp7aTfjaFQZ8O4vCpw9wSfQt7kvdwU/ObGPHlCGpVqkXzGs15bvlzxDWK49CpQxw6dYgbmt3A69+/Tq/Gvbjmmo4sXmx+Cf3Xvxxcdx107uwgPd380vXXv5qMY3FxZg5ZZKR5qZKT4YorsntnLjbnzpkseJUqmVT1YWFm2+k0f3kOb/NBhiODuxfczYnTJ7g5+ma++P0L+kX3Y9KaSVxa/VKeeeYvJCfDF1+YwLlbt+weLbsdXnjBfAC9/jo8/bT5A/Nh8uqrhevFyKV6R7hyjvnCu6SDmYdkOcAeARGtwOHg0UfNh97LL2dntWzeHPr2BYdlgy6LYcNTcPAzs9NeGVo8ArXisl+48HBze94LuXixaccLFpjzg/ncGzQIHMG1oMdXsOEZHMm/QnVwHF4BVdpC7WsL+EcJgq6fQsJzsOZv8PMI02N/9pB5vGUr+B+16TBzXMJz4Dxnfk1tfDdcNtY8tmYX6DQP1vzFvGZVLoer3oWQSwp83m4tx8DehdByBITWA4cDO3bCA8MJsAJwZD0uyBZEeGA4OHGXtW9vgtOpUyEmxvSGelymgGvfcouZa7l+vekZdzjAclqEB4YTZAtyXyfYFkx4YDgOh8Ndlt/5GzUySXpuvNG04ago84U/sOVQHGmb4cASWHWvySZZuSX8MR9sISZnfX58nZBY0GvuTZvXIDMDNv0DR+IGCHvctL+AcAiscWFvAKWoZ0+TkGTZMhg+3Ly3VKlifkA6dswE61J6XP+fPP5fVWkHoQ3h5A5I2mB+XD64xAxjjnFA5RalUtfq1c17zaRJpi0NGGAS6Did8McfcN99Zv3Dorr9dvj9d/ND26xZ5n3EbjfvIU2aBNC188emF2tlf6gaY4bqnfwNguvQo0cGU6Y4mDYNOnUyPwBHRpqRGNu2weczl5sOhZBa0PwB80P0qa1wbJX50d5mh9//A5dcY37wyjhlfqQ7kQDNhjJ79vWMH296y5o1M3XLzDQ/Pn76aVX+1O1TSPi7GW5cqV7WZ00SRMRkvbHm88Qz0+DccbMdWAnzo7sNsEwnQ0A+cUBGChxdaX4MrNbGfH88d8R8twwIwn6Jb3M8bNb5EVMBDhw44HE/ICCAGjVqEFLMA0iPHDlC9+7dmTNnDh06dHCXT5kyhYULF/Lll1/mesx1111Hv379eOCBB9xlv/zyC4MGDWLlypXU9jEX7qpVqwgNDb3wJyEiIiIiImVabGxswQdRhB6t+vXrF7oy/nT+QsmWZeW7eLK3472V56dTp07uxzkcDjZu3EhMTAx2X2dGl7JMZya/J/2O03ISGRbJJZV9TN9cgD0n9tDrvV6EBYUR3zOep5c+zTnHOZbeu5RGVYtx8aEKoiht7csdXzJowSC6NuzKwFYDeeqrp2havSlf3v0l0/8dwYsvmnHe33+flTLVj/ad2ke/uf2oHFyZR//0KA999hD3tr2Xf1z7DwLyS4wAcGSF6XUMrW16Lpzp5s9ymGFqler4t7LiIb+2di7zHOmOdOwBdsKCCjeZ7oe9P7By70rCgsKoU7kOt112m7tXWi4uj33+GO/++i6TbphE/Srmc37k1yM5mnqUXY/v8pjTdr4FC0wWxGrVzC/mrk4vb/JrawlHEkg+k0yALYCO9TpSKaiSmff3WTQEVYMbt5lfpXe+Dae2mF+c27wCoVld+d5GR2x+FbbGm97SdhMgbRf88SH89iY0uAOuzJGH39vjL0TSWvi2D4TUNKMnqsWYuUFrh0LUbXDVzLyvnXEKvuoEZw9Dl49Mb8CR5bB5nDlHxxmw7m9QuZmZ9xZUzSz8ve5Bk5Xt8qdhwyio2weu+Ld5rQ5+YubK1b8FLn0YEleaER/hTbOHeDkdUKsT207so9d7vYgMi2R019G88v0rJJ9OZum9S4mOjM673mB6EJb1MMPxGgyAWp0gdS/89k+o24dlde/ntnm3UbdyXfc0h70n99KqViu++cs3LNiygCGLh1C3cl3a1mnLxiMbOZBygCk3TmFQzCAeeMAsb9CwoVkGpUED0zPz449maPrHH5v7nTs7aN58I8nJMTiddmrUMEPT8nLmjJlLuX276VUaOTK7LR8/bj4z0wOOM2TxEI6mHmVQzCDiV8bzaq9XuafteUsf+bstiXcHvzAJk0LrmhFmlsP0lGWcMsNAm9zr+7mK6d+sSMkwVq9ezTvvvMPOnTux2Ww0bdqU++67j86dCxiqdgGqV6+O3W7n2HkLziQlJRGZx3ipyMhIEs+bqZecnExgYCDVXINAfRBwfo5vwG63l5lAy26307pO64IPLKRmNZux4M4F9HinB88sf4aDaQdZ8ZcVNK3hLZe0FFVh2lqf6D680usVHvviMRLPJBISFMKCOxdQLawaI0aY4VBr1pi5SnXqQGCgGZpQt64ZTnYhGldvzNf3fc3478azYu8KxvUc55EEJF/14syflCpvbS3MHkYYRctW0q1JN7o16eaPqkkxuyn6Jib/PJnBnwz2KP9zzJ8JDc5/RMftt5uhwN9+a4bLNWli5o1alil/9NHcj/HW1trXa5/7wMr1Ie4L2P8/+PUpCG9khpmG1YHASyE8xw+HaWmuk+c4wVmTdMPmhMAgqFQbGvaFBjeZIUg5j/X6+Avw+7/AcRwufxma3GHmM27+e1YSkPT8r33uDJz9A2xBENnevFlbZ6DlY2a/LRAcp8AeAJVqmUAprBZ0nw/YTAIuZxpENDblKacgvB50mmnmV0Z2gks8p1bk1OqSVrzT7x1u/OBG3kl4h21J21hy1xIuv+RyzwO9vWa7/gOpW6DpELjybUjdY9KGZz3v3pf2pl3ddmw4vIF1d63j7V/eZsLqCYzuPhq73c4dMXcwe/NsVuxZwQvXvECPd3rQrXE37m53N999BzNmmKf7xRcm2HJxDV5yJf5xOFxLpPj2GepKPJGWZuazVqmSvS8y0rVIeCSLBi1i6a6lZDgy+GbwN1xWK2tel7cf8ANzfM0uI1nyypQGN5o/x1k4l2yG+dVoDfZw8wNHYX7YSy0g224RFTrQev/994mPj+e6667j3ntNpPjrr78ybNgwnnnmGe6++26/VxIgODiYVq1asWrVKq7NsajQDz/8QM88JlG0a9eOb1yLyWT5/vvvad26tc/zsyR/Hep2YPfju0lNT6VycGUiwy7SSUIVyMN/epgro67kXOY5GlVr5E4db7OZOUq9ehXftSPDIvnn9f8svguISLHo2bQnEcER1AyrybSbpjFv8zxmrJ9B3+i+BT42IMDMR7v55mKqXK2u+c+Fzk/Mi1C9nekxXzXAfAGzZSU/alnMk6iqZgUlx36ESx+CRoNMghwo+Et3WD3o8bnpefuqE1RpYQJDxxlz2/kD6LEE/pgL315n0nEHBJlkA7V7mB60oAjYv9g8vlJdc17HGbj0EZ+qf13z61g5eCVH0o4w7ppxXBXlYyKaU1vNbfWswPnkRjPHtPY1Zq4L8OLVL9JrVi/mb5nP+xvfp1NUJ2649Ab3KSb3mUyrya3o/HZnLCym3mTWDty1y+wPDzc9Wf5UrZrJzDdlikkYMXu2KbPbzcLgb7xh5kkF2ALo3cxLtgoFUqXHHmr+z1yMrELq2rWrNWvWrFzl77//vtWlS5fCnq5QPvvsM6tVq1bWRx99ZO3YscMaP3681a5dO2v//v2WZVnWhAkTrJEjR7qP37t3r9W2bVvrlVdesXbs2GF99NFHVqtWrawvvviiyHXIzMy01q1bZ2VmZl7w8xHJj9qalBS1NbEsyxr40UAr4MUA62jqUev696+3Ql8OtVLOpfj1GsXS1sxXXO9/RTmPv2SesayfHrSseZUt65NLLWvl7Zb1XT/L+iTasna/X7h6O52WlXm26HVxZJhz+Ju3+v72H8v6AMtafq1lOR2e+zLPuTd7zOxhBbwYYPEC1lc7vsp16m2J26zv9nxnbU3c6i47dsyyqlUzl4yPt6yczWjbtvMupfc1uQgUukcrNTWVbt1yDwXp0qULEyZM8Evwl5c+ffpw/PhxJk+ezNGjR2nRogXTpk1zzxtLTEzkkCttF9CgQQOmTZtGfHw8s2fPpnbt2owZM6bk1tASEREpI/q27MuHmz9kwdYFfLvnW3o26enbUiGl7UJ6ErwN9/KyLl2R2EOh42RoP9HMDTt71GRkC29sfn237ipcPe0XkHQsv2VoiuL81y3n/cxzZj7YwSXw2WWmN9JyQvI6kzG1+d8AmHHLDH468BMh9hCubXYt54uOjPacD4ZZEuPzz+Gxx+DZZ0222Kgok+UxPf3C13US8bdCZx186qmnuOyyy7j/fs+Fdt9++202b97MG2+84dcKXmwcDgcbNmygXbt2ZWaOlpRNamtSUtTWBODUuVPUer0W1UOrcyTtCDNunsFfO/y14AcWgtpaBZK0ziyKfvYw2CuZRWfr3XRhS8PkPH0SJCSYYX21apm5WTkTRKutycXAp5843nvvPfd2s2bNmDJlCj/99BPt2rUDzBytX375hcGDB+dxBhEREbmYVQmpQlyTOL7Y8QUBtgBuib6ltKskZVnNK8xfcZ2+JlxzTbGdXsQvfAq03nnnHY/7VapUYceOHezYscNdFhERwYIFC3joIR+zjImIiMhF5dmuz/Knen+iVngtaoXXKu3qiIiUaT4FWsuXLy/ueoiIiEgp69aoG90aKSW/iIg/FLCKqIiIiIiIiBSWTz1a8fHxPP7444SFhREfH5/vsaNHj/ZLxUREpGSsWrWKd955h0LmRhIpEpvNxuDBg71mMBYRKU98CrS2bNlCZmamezsvNm9pUkVE5KK2aNEijh07VtrVkApk0aJFCrREpNzzKdCaNWuW120RESn7+vXrx8yZM9WjJSXCZrPRt2/f0q6GiEixK9QKdpmZmbRp04ZFixbRokWL4qqTiIiUoM6dOxMWFnZRrjfjcDh44oknGDFiBI0aNSrx63/77bf8/PPPPPXUUyV+7fIo59pGIiLlXaECrcDAQOrVq4fT6Syu+oiISCl78803WbZsGf/+979p0KCBu3zjxo2MGTOG0KxVQStXrkyPHj245557CAjInVspISGBDz/8kJ07d2Kz2ZgzZ06h6/LNN99Qr149d5B1fh0A4uLieOCBB/I8x48//sjMmTNJSkqiWbNmPProo0RFRQHwxx9/8N///pcdO3aQkpLCBx98QOXKld2P7d69O3PmzGHnzp00a9as0PUXEZGKq9BZBx988EEmTpzIiRMniqE6IiJSms6cOcOqVauIiIjg66+/zrU/PDycefPmMW/ePJ5//nmWLl3KV1995fVcoaGh9OrViyFDhhS5PkuWLKFXr1551mHevHn5BlkHDhxg4sSJ3H///XzwwQe0adOG8ePH43A4ALDb7XTp0oUnnnjC6+MDAgLo0aMHn3/+eZGfg4iIVEyF6tECM0frjz/+oFu3btSrV4+wsDCP/QsXLvRb5UREpGStXLmSkJAQ7rnnHmbNmsW9995LYKD3j4rGjRvTqlUr/vjjD6/7W7RoQYsWLdi4cWOR6pKcnMyuXbto1apVkR4PpkcsJiaGjh07AjBw4EA+/fRTNm/eTJs2bYiKiiIqKoojR47keY62bdvyj3/8o8h1EBGRiqnQgVbPnj2VXVBEpJz6+uuvufrqq+nWrRszZszgp59+onPnzl6P3b17N5s3b+a+++4r0rW2bNnCSy+9lOeQwl27dlGjRo1cP+idOXOGv/zlL9hsNlq3bs1f/vIXatas6fUce/bsoWnTpu77gYGBNGjQgD179tCmTRuf6tmgQQNOnDhBcnIyNWrU8PHZiYhIRVfoQOvRRx8tjnqIiEgp27dvH9u3b+ehhx6iUqVKXHXVVSxdutQj0EpLS2PQoEEAVKtWjRtvvJGePXsW6XqXX355vvO2UlNTcwVZUVFRvPnmm0RFRXHq1CnefvttXnrpJd544w2v88TOnj1LeHi4R1nlypU5c+aMz/V01SE1NVWBloiI+KzQc7R69uzJ8ePHc5WfOnWqyB+2IiJS+pYuXUqTJk1o0qQJYJJM/PLLLyQlJbmPCQ8PZ86cOcyZM4f//Oc/3HnnndhsNiZPnswdd9zBHXfcweTJk/1Sn8qVK3P69GmPsurVq9OoUSPsdjvVq1fn4YcfZs+ePRw8eNDrOUJDQ0lLS/MoS0tLo1KlSj7Xw1WHnEkyREREClLoHq0DBw54zTqYnp6e7xh3ERG5eDkcDr799lvOnj3LvffeC4BlWTidTpYtW8Ydd9yR7+MfeughHnroIb/WqUmTJiQnJ3PmzJk8A6OChrI3btyY3bt3u+9nZmayb9++QqWK37dvH9WqVVNvloiIFIrPgdayZcvc2ytXriQiIsJ93+l0snr1aurXr+/f2omISInYvn07Z86c4c033/QYardkyRKWLl3KgAEDCn1Op9NJZmYmmZmZgPlBDiA4ONinx9esWZMmTZqwadMmdzKLhIQEateuzSWXXEJKSgpvv/02DRo0oG7dul7PcfXVV/O///2PdevW0bZtWz766COqVKlC69atARNMZmRkkJGRAUBGRgbp6ekEBQW5g7iEhASuuOKKQj9/ERGp2HwOtB5++GH39jPPPON5ksBA6tevn6tcRETKhvXr19OtWzf3+lIuN998MwsXLiQhIcHrHKj8bN68mTFjxrjv33777QAsXrzYvf/FF19k3rx5eZ6jT58+LFu2zB1o7dq1i3/961+kpKQQFhZG69atef75590LLZ9/zqioKJ588kmmT59OUlISTZs2ZezYse7jjx49ytChQ93XcyX2mD59OpdccglOp5MVK1YwcuTIQj13ERERm2VZVmEeEBcXx/z58yvsEIqcq9q7PqhFioPampSUi7mtORwOnnjiCUaOHEnDhg1L/PorVqxg3bp1PPXUUyV+7fLoYm5rUr6orcnFoNBztB577DGvE4LT09NZsmQJffv29Ue9REREsNvtvPXWW6V2/R49etCjR49Su76IiJRdhc46OHr0aFJSUnKVp6WlMXr0aL9USkREREREpCwrdKBlWZbXLE9HjhzxSJAhIiIiIiJSUfk8dLBv377YbDZsNhv33XcfgYHZD3U4HOzfv59u3boVSyVFRERERETKEp8DrV69egGwdetWunbt6pH+NygoiPr165fKRGUREREREZGLjc+B1iOPPAJA/fr16dOnDyEhIQCkpKSwePFi3n77bbZt28bWrVuLp6YiIiIiIiJlRKGzDvbr1w+A1atXs2DBAr7++mvq1atH7969GT9+vN8rKCIiIiIiUtYUKtA6fPgwH3/8MQsWLODMmTPccMMNZGZm8tZbb9G8efPiqqOIiIiIiEiZ4nOgNXToUH7++WeuvvpqnnvuObp164bdbmfu3LnFWT8REREREZEyx+dAa9WqVdxzzz0MGjSIxo0bF2OVREREREREyjaf19GaPXs2aWlp9O/fnwEDBvD++++TnJxcnHUTEREREREpk3wOtNq3b8/LL7/M999/z8CBA/nss8/o3r07TqeTVatWkZqaWpz1FBERERERKTN8DrRcKlWqxO23386cOXNYvHgxgwcPZvr06XTu3JkHHnigOOoIwMmTJxk5ciSxsbHExsYycuRITp06le9jvvrqK/76179y5ZVXEh0drdTzIiIiIiJSIgodaOXUtGlTRo0axYoVK3jjjTf8VSevnnrqKbZt28aMGTOYMWMG27ZtY9SoUfk+5vTp07Rv354RI0YUa91ERERERERyKvQ6Wt7Y7XZ69epFr169/HG6XHbu3MnKlSuZN28ebdu2BeCll15i4MCB7Nq1i6ZNm3p9XN++fQHYv39/sdRLRERERETEG78EWsVt/fr1REREuIMsgHbt2hEREcH69evzDLT8xel0YlkWAA6Hw+NWpLiorUlJUVuTkqK2JiVFbU2Kk91u9+m4MhFoHTt2jJo1a+Yqr1mzJseOHSv262/atImMjAyPso0bNxb7dUVAbU1KjtqalBS1NSkpamtSHGJjY306rlQDrbfeeotJkyble8z8+fPz3GdZFjabzd/VyqV169YePVobN24kJibG52hWpCjU1qSkqK1JSVFbk5KitiYXg1INtO666y769OmT7zFRUVFs376dpKSkXPuSk5O99nT5W0BA7pwhdrtd/3GlRKitSUlRW5OSorYmJUVtTUpTqQZaNWrUoEaNGgUe1759e1JSUkhISKBNmzYA/Prrr6SkpNC+ffvirqaIiIiIiEihXFB695LSrFkzunXrxtixY9mwYQMbNmxg7NixXHPNNR6JMK6//nq+/vpr9/0TJ06wdetWdu7cCcDu3bvZunUriYmJJf4cRERERESk4igTgRbAhAkTaNGiBUOGDGHIkCFER0fz2muveRyze/duUlJS3PeXL19O3759GTZsGADDhw+nb9++zJ07t0TrLiIiIiIiFUuZyDoIUK1aNSZMmJDvMdu3b/e4f9ttt3HbbbcVZ7VERERERERyKTM9WiIiIiIiImWFAi0RERERERE/U6AlIiIiIiLiZwq0RERERERE/EyBloiIiIiIiJ8p0BIREREREfEzBVoiIiIiIiJ+pkBLRERERETEzxRoiYiIiIiI+JkCLRERERERET9ToCUiIiIiIuJnCrRERERERET8TIGWiIiIiIiInynQEhERERER8TMFWiIiIiIiIn6mQEtERERERMTPFGiJiIiIiIj4mQItERERERERP1OgJSIiIiIi4mcKtERERERERPxMgZaIiIiIiIifKdASERERERHxMwVaIiIiIiIifqZAS0RERERExM8UaImIiIiIiPiZAi0RERERERE/U6AlIiIiIiLiZwq0RERERERE/EyBloiIiIiIiJ8p0BIREREREfGzMhNonTx5kpEjRxIbG0tsbCwjR47k1KlTeR6fkZHB66+/zs0330y7du3o2rUro0aN4siRIyVYaxERERERqYjKTKD11FNPsW3bNmbMmMGMGTPYtm0bo0aNyvP4s2fPsmXLFh588EE+/vhjJk2axJ49e3jwwQdLsNYiIiIiIlIRBZZ2BXyxc+dOVq5cybx582jbti0AL730EgMHDmTXrl00bdo012MiIiKYOXOmR9nYsWMZMGAABw8epF69eiVSdxERERERqXjKRKC1fv16IiIi3EEWQLt27YiIiGD9+vVeAy1vUlNTsdlsVKlSpVDXdzqdWJYFgMPh8LgVKS5qa1JS1NakpKitSUlRW5PiZLfbfTquTARax44do2bNmrnKa9asybFjx3w6x7lz55gwYQI33XQTlStXLtT1N23aREZGhkfZxo0bC3UOkaJSW5OSorYmJUVtTUqK2poUh9jYWJ+OK9VA66233mLSpEn5HjN//vw891mWhc1mK/A6GRkZDB8+HMuyeOGFFwpbTVq3bu3Ro7Vx40ZiYmJ8jmZFikJtTUqK2pqUFLU1KSlqa3IxKNVA66677qJPnz75HhMVFcX27dtJSkrKtS85OdlrT1dOGRkZPPHEE+zfv59333230L1ZAAEBuXOG2O12/ceVEqG2JiVFbU1KitqalBS1NSlNpRpo1ahRgxo1ahR4XPv27UlJSSEhIYE2bdoA8Ouvv5KSkkL79u3zfJwryPrjjz947733qF69ut/qLiIiIiIikpcykd69WbNmdOvWjbFjx7JhwwY2bNjA2LFjueaaazwSYVx//fV8/fXXAGRmZvLYY4+xadMmJkyYgMPhIDExkcTERNLT00vrqYiIiIiISAVQJpJhAEyYMIGXX36ZIUOGABAXF8fzzz/vcczu3btJSUkB4PDhwyxfvhyAW2+91eO49957jyuvvLIEai0iIiIiIhVRmQm0qlWrxoQJE/I9Zvv27e5t19wuERERERGRklYmhg6KiIiIiIiUJQq0RERERERE/EyBloiIiIiIiJ8p0BIREREREfEzBVoiIiIiIiJ+pkBLRERERETEzxRoiYiIiIiI+JkCLRERERERET9ToCUiIiIiIuJnCrRERERERET8TIGWiIiIiIiInynQEhERERER8TMFWiIiIiIiIn6mQEtERERERMTPFGiJiIiIiIj4mQItERERERERP1OgJSIiIiIi4mcKtERERERERPxMgZaIiIiIiIifKdASERERERHxMwVaIiIiIiIifqZAS0RERERExM8UaImIiIiIiPiZAi0RERERERE/U6AlIiIiIiLiZwq0RERERERE/EyBloiIiIiIiJ/ZLMuySrsSIiIiIiIi5Yl6tERERERERPxMgZaIiIiIiIifKdASERERERHxMwVaIiIiIiIifqZAS0RERERExM8UaImIiIiIiPiZAi0RERERERE/U6AlIiIiIiLiZwq0RERERERE/EyBloiIiIiIiJ8p0CqE2bNnExcXR0xMDLfddhvr1q0r7SpJGTd16lT69+9P+/bt6dSpEw899BC7du3yOMayLN566y26du1KmzZtuOeee/j9999LqcZSXkydOpXo6GjGjx/vLlNbE385cuQII0aM4Morr6Rt27bceuutbNq0yb1fbU38ITMzk3/+85/ExcXRpk0bevbsyaRJk3A6ne5j1NakNCnQ8tGSJUuIj4/nwQcfZNGiRcTGxjJ06FAOHjxY2lWTMuynn37irrvuYt68ecycOROHw8Ff//pXTp8+7T5m+vTpzJw5k+eff5758+cTGRnJ4MGDSU1NLcWaS1mWkJDAhx9+SHR0tEe52pr4w8mTJxk0aBBBQUFMnz6dzz77jGeeeYYqVaq4j1FbE3+YPn06c+fO5fnnn2fJkiWMHDmSt99+m1mzZnkco7YmpcYSn9x+++3W888/71F2/fXXWxMmTCilGkl5lJSUZLVo0cL66aefLMuyLKfTaXXp0sWaOnWq+5hz585ZsbGx1pw5c0qrmlKGpaamWr1797ZWrVpl3X333dbLL79sWZbamvjP66+/bg0aNCjP/Wpr4i/Dhg2zRo8e7VH2yCOPWCNGjLAsS21NSp96tHyQnp7O5s2b6dq1q0d5ly5dWL9+fSnVSsqjlJQUAKpWrQrA/v37SUxM9Gh7wcHBdOzYUW1PimTcuHH06NGDzp07e5SrrYm/LF++nNatW/PYY4/RqVMn+vbty7x589z71dbEX2JjY/nxxx/ZvXs3ANu2bePnn3+mR48egNqalL7A0q5AWXD8+HEcDgc1a9b0KI+MjCQxMbGUaiXljWVZxMfHExsbS4sWLQDc7ctb29OwVSmszz77jC1btjB//vxc+9TWxF/27dvHnDlzGDx4MA888AAJCQm8/PLLBAcH07dvX7U18ZuhQ4eSkpLCDTfcgN1ux+FwMHz4cG666SZA72tS+hRoFYLNZvO4b1lWrjKRoho3bhy//fYbH3zwQa593tqeSGEcOnSI8ePH89///peQkJA8j1NbkwtlWRatW7fmySefBODyyy9nx44dzJkzh759+7qPU1uTC7VkyRIWL17MxIkTad68OVu3biU+Pp7atWvTr18/93Fqa1JaFGj5oHr16tjtdo4dO+ZRnpSURGRkZCnVSsqTl156ieXLl/P+++9Tp04dd3mtWrUAOHbsGLVr13aXq+1JYW3evJmkpCRuu+02d5nD4WDt2rXMnj2bL774AlBbkwtXq1YtmjVr5lHWtGlTvvzyS/d+UFuTC/faa68xbNgwbrzxRgCio6M5ePAgU6dOpV+/fmprUuo0R8sHwcHBtGrVilWrVnmU//DDD7Rv376UaiXlgWVZjBs3jq+++op3332XBg0aeOyPioqiVq1aHm0vPT2dtWvXqu1JoVx11VV88sknLFq0yP3XunVrbr75ZhYtWkSDBg3U1sQvOnTo4J4z47Jnzx7q168P6H1N/Ofs2bO5eqvsdru7x0ptTUqberR8NHjwYEaNGkXr1q1p3749H374IYcOHeLOO+8s7apJGfbiiy/y6aefMnnyZMLDw93jySMiIggNDcVms3HvvfcydepUGjduTKNGjZg6dSqhoaHuMegivqhcubJ77p9LWFgY1apVc5errYk/3HfffQwaNIgpU6Zwww03kJCQwLx58xg3bhyA3tfEb6655hqmTJlCvXr13EMHZ86cSf/+/QG1NSl9NksDVX02e/Zs3n77bY4ePUqLFi0YPXo0HTt2LO1qSRl2/jpGLvHx8e4hXpZlMWnSJD788ENOnjxJ27Ztef7553N9aRYprHvuuYeWLVsyZswYQG1N/Oebb77hjTfeYM+ePURFRTF48GDuuOMO9361NfGH1NRU3nzzTZYuXUpSUhK1a9fmxhtv5OGHHyY4OBhQW5PSpUBLRERERETEzzRHS0RERERExM8UaImIiIiIiPiZAi0RERERERE/U6AlIiIiIiLiZwq0RERERERE/EyBloiIiIiIiJ8p0BIREREREfEzBVoiIiKYBZzHjx9f2tXwas2aNURHR3Pq1Kl8j4uLi+Odd94pmUqJiEi+tGCxiIhcsMTERKZOncqKFSs4fPgwERERNGrUiFtuuYW+fftSqVKl0q5igU6cOEFgYCCVK1cu0uPvuecefvrpJwCCgoKoX78+/fr1Y+jQodjt9guqW3p6OidPniQyMhKbzcbHH3/MK6+8wrp16zyOS05OplKlSmXi9RYRKe8CS7sCIiJStu3bt49BgwYRERHB8OHDiY6OJjMzkz179rBgwQJq165Nz549S7uaBapWrdoFn+OOO+7gscce49y5c3z77be8/PLLBAQEMGzYsAs6b3BwMLVq1SrwuBo1alzQdURExH80dFBERC7ICy+8gN1uZ8GCBfTp04dmzZoRHR3Nddddx7Rp04iLi3Mfm5KSwnPPPUenTp3o0KED9957L9u2bXPvf+utt7j11ltZtGgRcXFxxMbGMnz4cFJTU93HpKen8/LLL9OpUydiYmIYNGgQCQkJ7v2uYXYrV66kb9++tGnThnvvvZekpCRWrFjBDTfcQIcOHXjyySc5c+aM+3HnDx1MT0/ntddeo0ePHrRu3ZrevXvz0Ucf5ftahIaGUqtWLaKiorj77rvp1KkTy5YtA+DkyZOMGjWKjh070rZtW+6//3727NnjfuyBAwd44IEH6NixI+3atePGG29kxYoVHs/p1KlTrFmzhtGjR5OSkkJ0dDTR0dG89dZbQO6hgwcPHuTBBx+kffv2dOjQgccff5xjx44V6vUWEZGiUaAlIiJFdvz4cVatWsVdd91FWFiY12NsNhsAlmUxbNgwEhMTmTZtGh9//DGtWrXivvvu48SJE+7j9+7dy7Jly5gyZQpTp05l7dq1TJ8+3b3/tdde48svv+TVV19l4cKFNGrUiPvvv9/jHACTJk3iueeeY+7cuRw+fJgnnniC9957j4kTJzJt2jRWrVrFrFmz8nxuo0aNYsmSJYwdO5bPP/+cF198kfDw8EK9PiEhIWRkZADwzDPPsGnTJv7zn//w4Ycful8P1/5x48aRnp7O+++/zyeffMKIESO8vqbt27fn2WefpXLlynz//fd8//33DBkyJNdxlmXx8MMPc/LkSWbNmsXMmTPZt28fw4cP9ziuoNdbRESKRkMHRUSkyPbu3YtlWTRp0sSj/MorryQ9PR2AP//5z4wcOZIff/yR3377jdWrVxMcHAzA008/zdKlS/nyyy8ZOHAgYAKE+Ph491ypW265hdWrVzN8+HBOnz7N3LlziY+Pp0ePHgC89NJLrFq1ivnz53P//fe76/DEE08QGxsLwO23387EiRNZunQpDRo0AOC6665jzZo1Xof17d69m88//5yZM2fSuXNnAPfjfOF0Ot1B0H333ceePXtYvnw5c+bMoUOHDgBMmDCBq6++mqVLl3LDDTdw8OBBrrvuOqKjo/O9XnBwMBEREdhstnyHE/7www9s376dZcuWUbduXcAEqTfeeCMJCQm0adMGyP/1FhGRolOgJSIiF8zVa+Uyf/58nE4nI0aMcAdcmzdv5vTp01x55ZUex549e5a9e/e679evX98jIUXt2rVJSkoCTGCXkZHhDlbAJJ5o06YNO3fu9DivK2ABqFmzJpUqVfIIXiIjI9m4caPX57N161bsdjsdO3b06fm7zJkzh/nz57t7qW655RYeeeQRfvjhBwIDA2nbtq372OrVq9OkSRN3ve+9915eeOEFvv/+ezp37kzv3r1p2bJloa6f086dO6lTp447yAJo3rw5VapUYdeuXe5AK7/XW0REik6BloiIFFnDhg2x2Wzs2rXLo9wV0ISGhrrLnE4ntWrV8jpcLyIiwr0dGJj7o+n8BLnnB3aWZeUqy3kem82W67w2mw2n0+n1eeWsd2HcfPPNPPDAAwQHB1O7dm13tsG8EvzmrPeAAQPo2rUr3377LatWrWLatGk8/fTT3HPPPUWqi7fXxFtdfHm9RUSk8DRHS0REiqx69ep06dKF999/n9OnT+d7bKtWrTh27Bh2u51GjRp5/PmaLa9hw4YEBQXx888/u8syMjLYtGkTzZo1u6DnklOLFi1wOp2sXbu2UI+rXLkyjRo1om7duh4p3Zs3b05mZia//vqru+z48ePs2bPHo95169Zl0KBBTJo0icGDBzNv3jyv1wkKCsLhcORbl+bNm3Po0CEOHTrkLtuxYwcpKSl+fa1ERMQ7BVoiInJB/v73v+NwOOjfvz9Llixh586d7Nq1i//973/s2rXLHXB07tyZdu3a8fDDD7Ny5Ur279/PL7/8wj//+c88h/CdLywsjEGDBvHaa6/x3XffsWPHDp577jnOnj3L7bff7rfnFBUVRb9+/Xj22WdZunQp+/btY82aNSxZsqRI52vcuDE9e/bkueeeY926dWzbto2RI0dyySWXuFPfjx8/npUrV7Jv3z42b97Mjz/+mGdAVL9+fU6fPs3q1atJTk72yJ7o0rlzZ6KjoxkxYgSbN28mISGBUaNG8ac//YmYmJgiPQ8REfGdhg6KiMgFadiwIQsXLmTq1KlMnDiRI0eOEBQURPPmzRkyZAh//vOfATNUb9q0afzrX//i2Wef5fjx40RGRnLFFVcQGRnp8/VGjBiBZVmMGjWKtLQ0WrduzYwZM6hatapfn9cLL7zAG2+8wQsvvMCJEyeoV68ef/vb34p8vvj4eMaPH88DDzxARkYGV1xxBdOmTSMoKAgwQyvHjRvH4cOHqVy5Mt26dWP06NFez9WhQwfuvPNOnnjiCU6cOMEjjzzCo48+6nGMzWbj3//+Ny+99BJ33303NpuNbt268dxzzxX5OYiIiO9slgZii4iIiIiI+JWGDoqIiIiIiPiZAi0RERERERE/U6AlIiIiIiLiZwq0RERERERE/EyBloiIiIiIiJ8p0BIREREREfEzBVoiIiIiIiJ+pkBLRERERETEzxRoiYiIiIiI+JkCLRERERERET9ToCUiIiIiIuJnCrRERERERET87P8BAMl4299KvAcAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1000x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas\n",
    "\n",
    "annotations = pandas.DataFrame({\n",
    "    'motif_name': ['AP-1'], \n",
    "    'start': [990], \n",
    "    'end': [1010], \n",
    "    'strand': ['.'],  # Not necessary\n",
    "    'score': [5.01],  # Just a random number \n",
    "})\n",
    "    \n",
    "plt.figure(figsize=(10, 3))\n",
    "ax = plt.subplot(111)\n",
    "plot_logo(X_attr[0], ax=ax, start=950, end=1050, annotations=annotations)\n",
    "\n",
    "plt.xlabel(\"Genomic Position\")\n",
    "plt.ylabel(\"Attribution\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "90953e84-154b-4a58-8de0-c2354dd5bd9c",
   "metadata": {},
   "source": [
    "Sometimes, annotations overlap each other. By default, I have tried to make these be displayed in a smart manner that does not get confused by scores or overlap. Basically, the process is that multiple \"rows\" of annotations are kept track of and if the annotations -- in order of strength of signal -- can fit in the first track of annotations it will be put there, even if a previously placed motif with a higher strength has been put in the second track of annotations. Take a look at what happens wiht Test2 and Test3 in the below annotations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "1c2975b1-78b6-4769-9e2e-07b5f9db123c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "annotations = pandas.DataFrame({\n",
    "    'motif_name': ['AP-1', 'Test', 'Test2', 'Test3'], \n",
    "    'start': [990, 995, 1005, 1012], \n",
    "    'end': [1010, 1010, 1015, 1030], \n",
    "    'strand': ['.', '.', '.', '.'],  # Not necessary\n",
    "    'score': [5.01, 1.01, 3.42, 1.29],  # Just a random number \n",
    "})\n",
    "    \n",
    "plt.figure(figsize=(10, 3))\n",
    "ax = plt.subplot(111)\n",
    "plot_logo(X_attr[0], ax=ax, start=950, end=1050, annotations=annotations)\n",
    "\n",
    "plt.xlabel(\"Genomic Position\")\n",
    "plt.ylabel(\"Attribution\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8bb844ea-b5a6-4d1d-83f4-0142f55c3780",
   "metadata": {},
   "source": [
    "This greedy process of placing annotations results in a fairly well-packed set of annotations. One could imagine a simpler strategy being confused by Test2 and Test3 and deciding that Test3 should go below Test2 because it has a lower score and overlaps with Test2. However, this process *is* greedy and so may make mistakes in some situations, but generally it is pretty good.\n",
    "\n",
    "Eventually, these tracks will run off the edge of the plot. I do not yet have a complete solution for this but, by default, after four rows of annotations have been plotted a simpler representation that is just the name of the motif hit will be placed so that more can fit in the plot. We can see an example of this by just copying each of the motifs a second time so that we get six motifs on top of each other."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "6a6d4fa8-fca4-4f3b-a843-5ce7093fa8a8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "annotations = pandas.DataFrame({\n",
    "    'motif_name': ['AP-1', 'Test', 'Test2', 'Test3', 'AP-1', 'Test', 'Test2', 'Test3'], \n",
    "    'start': [990, 995, 1005, 1012, 990, 995, 1005, 1012], \n",
    "    'end': [1010, 1010, 1015, 1030, 1010, 1010, 1015, 1030], \n",
    "    'strand': ['.', '.', '.', '.', '.', '.', '.', '.'],  # Not necessary\n",
    "    'score': [5.01, 1.01, 3.42, 1.29, 5.01, 1.01, 3.42, 1.29],  # Just a random number \n",
    "})\n",
    "    \n",
    "plt.figure(figsize=(10, 3))\n",
    "ax = plt.subplot(111)\n",
    "plot_logo(X_attr[0], ax=ax, start=950, end=1050, annotations=annotations)\n",
    "\n",
    "plt.xlabel(\"Genomic Position\")\n",
    "plt.ylabel(\"Attribution\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ed40da83-4dc4-4e61-b5ab-644fa4c057e5",
   "metadata": {},
   "source": [
    "The two motif hits for \"Test\" are more compact than the others and in a lighter gray color.\n",
    "\n",
    "If we want to hide these additional annotations rather than displaying them in a more compact manner, we can pass in the `show_extra=False`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "01908103-e6a7-4c67-b94e-71f52bb0cc5b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 3))\n",
    "ax = plt.subplot(111)\n",
    "plot_logo(X_attr[0], ax=ax, start=950, end=1050, annotations=annotations, show_extra=False)\n",
    "\n",
    "plt.xlabel(\"Genomic Position\")\n",
    "plt.ylabel(\"Attribution\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1b7ee19f-4c6f-4886-8b0d-91c2593c20f5",
   "metadata": {},
   "source": [
    "Note that the light gray \"Test\" annotations are gone.\n",
    "\n",
    "We can also control the number of tracks that are displayed before switching to the more compressed representation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "4409a9be-b7b8-4435-952a-8f3bf5e668ab",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 3))\n",
    "ax = plt.subplot(111)\n",
    "plot_logo(X_attr[0], ax=ax, start=950, end=1050, annotations=annotations, n_tracks=1)\n",
    "\n",
    "plt.xlabel(\"Genomic Position\")\n",
    "plt.ylabel(\"Attribution\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "29cca2f1-2bd8-41a6-9ec5-2eb0a1ad3916",
   "metadata": {},
   "source": [
    "#### Annotations from FIMO\n",
    "\n",
    "A simple way to get these annotations is by running a motif scanner, such as FIMO, using some previously-determined set of motifs. These annotations would then be derived solely from sequence match without considering attribution scores and so can be a somewhat-orthogonal set of information when considering these sequences and the attributions.\n",
    "\n",
    "Please see the tutorial on FIMO for a complete description but, briefly, you use the FIMO implementation by passing in a dictionary of motifs where the keys are names of motifs and the values are PyTorch tensors containing the PWM. The object has several methods but the most relevant one for generating attributions is the `hits` method, which will score each motif hit at each position in the sequence, convert the scores into p-values given the length of the motif and its information content, and then return only those positions that pass the threshold."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "d7b02df7-ee75-48db-9ab5-fddbdc8b854b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>motif_name</th>\n",
       "      <th>sequence_name</th>\n",
       "      <th>start</th>\n",
       "      <th>end</th>\n",
       "      <th>strand</th>\n",
       "      <th>score</th>\n",
       "      <th>p-value</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>AP-1</td>\n",
       "      <td>0</td>\n",
       "      <td>995</td>\n",
       "      <td>1005</td>\n",
       "      <td>+</td>\n",
       "      <td>20.001443</td>\n",
       "      <td>9.536743e-07</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  motif_name  sequence_name  start   end strand      score       p-value\n",
       "0       AP-1              0    995  1005      +  20.001443  9.536743e-07"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from tangermeme.utils import one_hot_encode\n",
    "from tangermeme.tools.fimo import fimo\n",
    "\n",
    "motifs = {'AP-1': one_hot_encode(\"GTGACTCATC\")}        # For this example we only care about one sequence.\n",
    "annotations = fimo(motifs, X, dim=1)  # Scan a set of motifs against the genome\n",
    "annotations[0]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fd00ddc0-cce7-408e-97be-fd5f2c1c9d76",
   "metadata": {},
   "source": [
    "Given that the annotations are already in the proper format, we can just pass them into the same plotting function as before."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "4d0ab0b9-f25e-41b5-909b-787a1c715afe",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1oAAAEmCAYAAAB73eENAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8fJSN1AAAACXBIWXMAAA9hAAAPYQGoP6dpAABWcElEQVR4nO3deXxTVd7H8U+abrQUWQqy71IUylYZZdeCoLiBiA6DywMjjLuigCLoKIp1FJzxkWEA8UFFBBGEccGNVUBkUyi7sskOpWVpC3RJ7vPHadKGpm1a0paW7/v16is3957cexIOSX455/yOzbIsCxEREREREfGbgNKugIiIiIiISHmjQEtERERERMTPFGiJiIiIiIj4mQItERERERERP1OgJSIiIiIi4mcKtERERERERPxMgZaIiIiIiIifKdASERERERHxMwVaIiIiIiIifqZAq5CcTifx8fE4nc7SroqUc2prUlIux7a2/vB6bK/YsL1iw7Ks0q7OZeNybGtSOtTW5FKgQKuQLMsiIyNDH8xS7NTWpKRcjm0t3ZHu3nZYjlKsyeXlcmxrUjrU1uRSoEBLREQuOzkDrZzbIiIi/qJAS0RELjsKtEREpLgp0BIRkcuOAi0RESluCrREROSyk+HI8LotIiLiLwq0RETksqMeLRERKW4KtERE5LKjQEtERIqbAi0REbnsKNASEZHipkBLREQuOxnODK/bIiIi/qJAS0RELjvq0RIRkeKmQEtERC47CrRERKS4KdASEZHLjgItEREpbgq0RETksqN1tEREpLgp0BIRkcuOerRERKS4KdASEZHLjgItEREpbgq0RETksqNAS0REipsCLRERuexoHS0RESluCrREROSyox4tEREpbgq0RESkfLIs+OVZSFiZ65ACLRERKW4KtEREpHw69AXsfBtW3AUZKR6HFGiJiEhxU6AlIiLl0++TzG1aAhz83OOQAi0RESluCrRERKT8sSxIWpd9/+B8j8MeyTC0YLGIiBQDBVoiIlL+pOyG9JPZ9498D85M993S7NHafGwzYePCCBsXhtNylui1RUSk5CjQEhGR8idxred9x1k4vdV9tzQDrXOZ59x/GrYoIlJ+KdASEZHy58JACyBxjXuzNAOt85nnvW6LiEj5okBLRETKn5Mbcu9L/t29mXNeVkkvWJyWmeZ1W0REyhcFWiIiUv6k/pHv4XRHOiH2EPd2SUpzpHndFhGR8kWBloiIlC9OB5w7nG+RdEc6YUFh7u2SpB4tEZHLQ5kLtGbOnElsbCzR0dHcddddrF+/Ps+y33//PYMGDeL666+nXbt23HvvvaxYsaIEaysiIiXu/FGwHPkWSXekEx4c7t4uDrNnw1NPgfOCxIKaoyUicnkoU4HWwoULiYuL45FHHmHBggXExMQwZMgQDh/2/svlunXr6NixI1OnTuXzzz/nuuuu45FHHmHbtm0lXHMRESkxZw8UWCTDmUF4ULh729/27oWHHoL//V947z3PYxo6KCJyeShTgdb06dPp168f/fv3p0mTJowePZqaNWsya9Ysr+VHjx7NkCFDaNWqFQ0bNuSZZ56hQYMGLFmypIRrLiIiJebswQKLpDvSqRBUwb3tbzNmQGqq2Z42zfOYhg6KiFweAku7Ar5KT09n69atDB061GN/p06d+PXXX306h9PpJDU1lcqVKxfq2k6nE8uyAHA4HB63IsVFbU1KSrlra+eOQ0B47v1WIGQ9x0ACqRxcmUpBlbBZNr8/959+gvCsKmzfDrt2QaNG5n6mI5PwQHMwLTOt/LzuPih3bU0uWWprUpzsdrtP5WyWK4K4xB07doyuXbsya9Ys2rVr594/efJk5s+fz3fffVfgOaZNm8Z7773HwoULqVatms/Xjo+PJyOjZNP/ioiIiIjIpScmJsancmWmR8vFZrN53LcsK9c+b7766ismTpzIpEmTChVkAbRs2dKjR2vz5s1ER0f7HM2KFIXampSUMtfWrrgi72OnT8PG52DX5NzHrnoCWr8GQPW3qtOhbgc2HN5A9JXRfHvft36r3vLlcMcdnvsGDIDJWVV6Y8UbxK2KA+Djvh9ze9Ttfrv2pa7MtTUps9TW5FJQZgKtKlWqYLfbOXHihMf+xMREIiMj833swoULGT16NO+88w4dO3Ys9LUDAnJPZbPb7fqPKyVCbU1KSplpa67JT97Y7ZB2FJxeytgywW7HsixOpZ3CaXOSSSbJGcl+fd7LluWu4po1pmoAqY5UUjNNgfPO82XjNfezMtPWpMxTW5PSVGaSYQQHB9OiRQtWrVrlsf+nn36ibdu2eT7uq6++4vnnn2fChAnccMMNxVxLEREpdelJ2dsVm0DFxh6HHZYDC4uggCCC7EF+T4axZUvufTlHnysZhojI5aHM9GgBDBo0iJEjR9KyZUvatm3Lp59+ypEjR/jzn/8MwIQJEzh27BhvvvkmYIKs5557jhdeeIHWrVuTkJAAQGhoKBEREaX2PEREpBjlDLRi3oXAirC4a/bhrMAq2B5MUID/A609e/I/rvTuIiKXhzIVaPXu3ZuTJ08yadIkjh8/TrNmzZg6dSp16tQBICEhgSNHjrjLf/rpp2RmZjJ27FjGjh3r3t+3b1/eeOONEq+/iIiUAFegZQuEK28Eeyhc0dJ9OMNhupeC7EEE24P9uo6WZcHu3fmX0YLFIiKXhzIVaAEMHDiQgQMHej12YfA0Y8aMkqiSiIhcStJPm9srWpggC+DK7tmHs3qwXEMHCxXs5Jd8ybJISICUlPxP4dGjpaGDIiLlVpmZoyUiIuITZ1bgVCV7KRCqd3Zv5hw6GGwP9uvQwYKGDcIFc7Q0dFBEpNxSoCUiIuWL45y5rdQse19kB/emR4+Wn+doHTpUcBn1aImIXB4UaImISPnhdIBrzlWFOtn7K9SG4KrABckw/Jx18PjxgsuoR0tE5PKgQEtERMoPZ47AJWegZbOZOVvgTn7hTobh8F8yjGPHCi6jZBgiIpcHBVoiIlJ+uIYNAlS40vNYVqBVnEMHL+zRato0dxkNHRQRuTwo0BIRkfLDkaOHKOgKz2MVGwG5hw46LAcOp8Mvl88ZaN15J2zalDvYSstMIzwo3Gxr6KCISLmlQEtERMqPnIFW4AUL09vMR567Rytr6CDgt7W0cg4dvPtuCAuDxx7zLJPmSCMiJMK9LSIi5ZMCLRERKT9yDh0MrOi1iHvB4qyhgzn3XaykpOztDlmJDnv29CxzPvM8EcER7m0RESmfFGiJiEj54erRsodBgN1rkQuHDubcd7HOnjW3kZHQuLHZvvpqqFEju0xaZhphQWEE2AI0R0tEpBxToCUiIuWHq0crj94s8D500N+BVlSUSXQI5va667LLpDnSCAkMIcQeoqGDIiLlmAItEREpWyzL/F1437Kye7SCIrw/lgt6tAKKp0erfn3P/dHR2dtpmWmE2EMItgerR0tEpBxToCUiIuWHMyvQujARRg7udbRyztHyQzIMy4LUVLOdX6B1PvM8wfZgQgJDNEdLRKQcU6AlIiLlh2vooA89Wv4eOpiWlt3RlnNOFph5WgBOy0mGM0NDB0VELgMKtEREpPxwDR30YY5WkZJh5DNs0TVsEKByZc+HhYR4XjvEHkJIYIiGDoqIlGMKtEREpPxwB1pheRZx92jlGDrojx4t17BBgCuu8F7GFVgF24PNHC31aImIlFsKtEREpPxwDR20eU/tDjnW0cq5YLEf1tHK2aOVZ6CVFVi5hw6qR0tEpNxSoCUiIuWHq0crn0CruNbR8iXQciW/cA0dVDIMEZHyS4GWiIiUH5bD3PoQaAUF+DcZRmGGDrrTu2vooIhIuaVAS0REyg/LaW5tgXkWKa51tPJLhuHiCqyC7cHuoYNWzuQaIiJSbijQEhGRciQraPGlR8seVOJDB909WoFm6KCFRaYz86KvLSIilx4FWiIiUn64e7TySYaRY8FidzIMPyxY7Aq0goOz07lfKOccLde1NU9LRKR8UqAlIiLlSMGBVnENHXTN0QoNzbvMhVkHc+4TEZHyJe9B7CIiImXNhT1ax5bCyn5mu1JzuOmnYh86GJjPJ2vOdbRCAkM89omISPmiQEtERMqRC+ZoOTMh/aTZzjgDFF/WwYys0Yf5BlqO7KyD6tESESnfNHRQRETKj0LM0co5dNAfCxY7sy5tz/vSHskwXEGeerRERMonBVoiIlJ++BBoFdfQQVeglV+PlseCxVk9WkqGISJSPinQEhGRciRr6GCAb+to5Td08OxZmDIFfv/dtyv7Emh5rKMVqKGDIiLlmeZoiYhI+eFe/NeWZ5Gcc7TyyjrodEKPHrB6tVl8eMMGaNw4/0v7FGhp6KCIyGVDPVoiIlJ+2LICLMuRZxHXfKycQwcvXEfryy9NkAVw6hQMH17wpR1Zl8x3jpaSYYiIXDYUaImISDmS9bGWT6DlS9bBCRM8H7NgAezbl/+VCzVHKzDEPXRQc7RERMqnMhdozZw5k9jYWKKjo7nrrrtYv359nmWPHz/Os88+S69evWjevDnjxo0rwZqKiEiJs/kWaAUGBGKz2bwOHfz9d1ixwvMxlgXr1uV/6cIMHQy2B2f3aGnooIhIuVSmAq2FCxcSFxfHI488woIFC4iJiWHIkCEcPnzYa/n09HSqVKnCI488QvPmzUu4tiIiUuJ8DLRcAZa3Hq3ly4t26cIkwwix55ijpaGDIiLlUpkKtKZPn06/fv3o378/TZo0YfTo0dSsWZNZs2Z5LV+3bl3GjBlDnz59iIiIKOHaiohIyfNhjpYzA5vNxtK9S9lwZIPZl2MdrR9/LNqVXXk4bHnn4fBIhuHOOqgeLRGRcqnMZB1MT09n69atDB061GN/p06d+PXXX4v12k6nEyvrE9SRNdvZdStSXNTWpKSU2bYWHm5uPeodDAHhYAWY/U7MfQBbKDgc2LFjs2zc/snt5jSB4WBlP/8tW7JPnZPNluNSXq4dHGx2BwVdUKUcnE4n4YHhBNmCCA0IJTwwnExHZtl77YuozLY1KXPU1qQ42fPLepSDzbLcuXAvaceOHaNr167MmjWLdu3aufdPnjyZ+fPn89133+X7+Pvvv5/mzZszevToQl87Pj6ejIyMgguKiIiIiEi5FhMT41O5MtOj5WK7YEyGZVm59vlby5YtPXq0Nm/eTHR0tM/RrEhRqK1JSSmzbe2KK8zt6dPZ+7a9CdvGQcP74Np/w9ElsLKvOVapOfRcQ9TEKI6mHPU41a1X3con/T5h927I8VseTz8Ne/bAF1/ABx9A3755XzsuDt54A6KiYO1a71Ue/N/BzNs+jx2P7WBrwlb6zenHS11f4tmOzxb5ZShLymxbkzJHbU0uBWUm0KpSpQp2u50TJ0547E9MTCQyMrJYrx0QkHsqm91u139cKRFqa1JSylxbS001tznrHOAEZypY583+AMx9cO87k36G1MxUz1NlpmK32/n99+zTRkXB2LGQmQmtW5s5WO5Lebm202l2p6TkvZZWckYyqZmpVAiuQHBgMKmZqZx1nC1br7sflLm2JmWW2pqUpjKTDCM4OJgWLVqwatUqj/0//fQTbdu2LaVaiYjIpcX3dbS87Tt2LHvfk09CQICZe/XMMwVf2fVdLr8pIa4Mg8H2YCXDEBEp58pMoAUwaNAg5s6dy9y5c9m9ezevv/46R44c4c9//jMAEyZMYOTIkR6P2b59O9u3byc1NZWkpCS2b9/Orl27SqP6IiJS3AJMynR3oHXlDXDHHx5F8gu0kpKy98XGZm/365d/2nYwQRmYHrC85Fyw2JXeXQsWi4iUT2Vm6CBA7969OXnyJJMmTeL48eM0a9aMqVOnUqdOHQASEhI4cuSIx2P69Onj3t66dStfffUVderUYcmSJSVZdRERKQmBFcytK9AKCILgyh5FfAm0KlSAZs2yj1etCp065X9pXwItV+9VUEBQ9oLFWkdLRKRcKlOBFsDAgQMZOHCg12NvvPFGrn07d+4s7iqJiMilIiDU3Dq9Z4p1Wk4cXoYVugKtxERzv27d7MDJpUaNAi7tS6DlSCPEHoLNZtPQQRGRcq7MBVoiIiJ5smcFWpkpXg/nXJjYY39WYObq0coaKFEorkAr3zlamWlkODO469O7SM0wCTXUoyUiUj4VOtA6ceIE//jHP1i9ejVJSUlcuAzX9u3b/VY5ERGRQikg0PI2bDDnflegVbt24S9dIWvUYkE9Wk7Lyfwd8z32iYhI+VPoQOv555/nyJEjPProo9QoaByFiIhISbJnRTsZFxdoFaVHKyws69L5rG/vLfGFkmGIiJRPhQ60NmzYwCeffMLVV19dHPUREREpOnePVrLXw74GWkX5HTE83NyePWvW1PKyBKPX+ViaoyUiUj4VOr17rVq1cg0XFBERuSQUNEcrjyQZrrlbJ0+a+65hgIXh6tGyLEj2Hud5HSaooYMiIuVToQOtF154gQkTJnDw4MHiqI+IiEjRBVzcHK30rMPBwYW/tCvQAjh92nsZ9WiJiFw+Cj10cNiwYZw7d46bbrqJ0NBQgoKCPI6vXbvWb5UTEREpFNc6Wo7z4MyEAM+PuYICLVcii5CQwl/aNXQQvAdalmXlP0fLZsv75BpJIiJS5hQ60HrhhReKox4iIiIXz9WjBaZXy4fFil37LSs7NXtRAq2cPVqnTuU+nunMxCJ3wFSUoYOWBSdOQGRk/vGZiIiUnkIHWn379i2OeoiIiFw8e45AKyM5V6CV3zpaDocFmKjlYgMtbz1aeQVUhR06uH8/xMbC7t3Qpg3MmweNGxfqFCIiUgKKtGCxw+Fg0aJF7N69G5vNRtOmTYmNjcVut/u7fiIiIr7LGWilJ0J4PY/DefVoAZxPzwTMcPiizNEqaOhgXgFVYXq0jhzJDrIANm6Em2+G+HgIDc33oSIiUsIKHWj98ccfDB06lGPHjtGoUSMsy2LKlCnUrFmTqVOnUr9+/eKop4iISMFyBlrnjkCVNh6H8wu0MpzpuAKtokyJyq9Hy7L806P1yivZQZbL77+btPRFWWRZRESKT6GzDr722mvUq1ePZcuWMX/+fBYsWMDSpUupW7cur732WnHUUURELkfJu2BhK5gTDqv+DOePF/yYgBxj/s4dyXU4v0DLQfaxtCIkAswZaLnW43I5dCjvhYl9XbA4ORk+/LDw9RIRkdJR6EBr3bp1jBgxgsqVK7v3ValSheHDh7Nu3Tp/1k1ERC5XKXth8Q1wejM4zsL+T2FJrMkkmB+bLbtX6+yBXIfzWkcLwEH2saIEWnZ79tyuC1dA2bzZh6GDlpX955Lj/uLFcD4rJgsIgDvvVC+WiMilrNCBVnBwMKmpqbn2p6am5kr1LiIiUiSbX4Zzhzz3nd4K+QRKbq7Mg6c35zrk6tF6vP3jbPzbRjb+bSOxjWIBM3QwMGtAfXreHV/5cvVqHbggxtu8Oe+hg5nOTJyWs8BzL1uWvf2vf8GCBbB1K7RoUaSqiohIMSt0oHXDDTfw0ksvsWnTJizLwrIsNm7cyMsvv0xsbGxx1FFERC4nGcmwf3bRHx+YlZXi5MZch1yBVv0r6tO6Zmta12xNZFik+5gr0CpKjxZkB1p793ru37gx/7lYvszT2rXL3DZqBI89ZrYrV4bp05XiXUTkUlToQGvMmDHUq1ePe++9l+joaKKjoxkwYAD169dn9OjRxVFHERG5nBxbDM6sLqVat0CPFdDsCd8fH1zV3KbshvRTZhhiFlegFWzPTivo2k53pLsz9xU10HJlHty508ypArOm1qZN+c/F8mWe1p495rZ7dzN00KV9e6hZs2j1FRGR4lPorIOVKlXiP//5D/v27WPPnj1YlkXTpk1p0KBBcdRPREQuN66eqAp1oPM8CKwA1Tt7Lkacn+Aq2du/vQtn97vvutbRCrJnD3UPCghyH6ta1QRGXkbI+6RiRXPrdML69XDjjbBihbmfXxr3glK8W1Z2L1nbtrmPq0dLROTSU6R1tAAaNmxIw4YN/VgVERERTE8UQL27TJDl0uo1sPmwXmNI1eztzS95HPLWo+UKtNId6VStanqOjuROWOiTGjWyt1esMIHWp5+a+67hgbc0vYWbm94MwPSN09l4dGOBQwePHs1OhBEdXbS6iYhIyfIp0IqLi+Opp54iLCyMuLi4fMuOGjXKLxUTEZHLwNHFcGoThDeC2r3BHgIpWWPkqrb3LGv3cRXh4Kp5HnIFWq7gCjyHDlbNeujhw75d6kJXXpm9/b//a+ZQzZwJzZtn91p1qd+FJ697EoA1h9aYQKuAHq2cgV/VvJ+eiIhcQnwKtLZt20ZmZqZ7W0RE5KJkpsKahzyTXoQ3gtjF2T1alVsX7dw+BFoePVr27B6tatXMvkOHcj3UJzl7tBIT4amnsu+75mGFBGav9RViD/E4lpecc8ZcwxNFROTS5lOgNWPGDK/bIiLiHytWwJIlEBoKt912Qcru4ytg+5uQnghV2kKzJ6FSVKnV1S/ix+TOLJi6F07vyF6YOOdcq8LwpUfLyxwtf/Ro5Qy0LuQaHugKrnJuFzR0MGegFRFRtLqJiEjJKnTWwVGjRpGSkpJr/9mzZzVsUESkkM6cgTvugK5d4eWX4fnnoWVLeO+9rAJb42BxVzj8FZxYDb9Pgm9aeS5qW9akJcGuyWa7YmO49j9wzSgIqgSWA8h6bkFZEcXmv8NPA81f4rqCzx8Smech14LF3rIOZjgz3IHWoUO5Mw/u3FnwpXMOHbyQa3igR49W1rYvyTBERKRsKXSgtWDBAtK85L09f/48//3vf/1SKRGRy8XQofDll2bbZgN7Vq6HXbuAMzsgPmvZjMAIk3kvqHJ26vOyKmElOM5D0BXQcw1c9TC0fh16bfAMklzrYR35Hv74xPydPeD9nDmF1cnzkLc5WjmHDroCrcxMs8iwy969EB9f8KXzDbS89Gi5gryCerRCsh9S5IyIIiJSsnwOtFJSUkhOTsayLFJTU0lJSXH/nT59mh9//JGqmqErIuKzHTuyM9LdcQccPw5nz8L//V/WPJy9HwEWVGwKt24360n1OQRXPVqa1b54JzeY2zq3ewZWEU2hao7c5Y6C15byqkLdPA8VtI6Wa44WwBdfZG9/8IFvl84vGa/XHi27bz1aOQMt1/pcIiJyafM5vfu1116LzWbDZrPRq1evXMdtNhtPPFGIBSVFRC5zixeb29BQ+OgjuOIKc3/QIEhPB1b8ZHY0fya7lyYwDK79t38r4hqXVlLj007+am6rd859LCBHZsHMlOzhg4URVnCgldccrdq1s8tOmmSGciYnm+1Jkwq+dMOGpmfS20vpSniRM8hzBV0FJcPIOffr1KmC6yEiIqXP50Dro48+wrIsHnzwQd59912ucH0jAIKCgqhduzZX5jdmQqQMOnHCDBkKDYWoKAj2Mbu0iC+WLTO3N9+cHWS5BAc5s+cj1cr941ZhnDxpFs9NT4errjJ/Nhtw7hhsex3++BwaLIAFdaD6n0wgF17/oq6Zr7REcxtS3dweWwonfjbbVa81wyMzTkHGGahQC9pPga2vwYHPfDt/cBWwh+buEbMFuRcs9pZ1MMORQfPm2cUTE01ikoMHzXuBT5cOhnr1YP/+3McuZuhg7drm3OnpsHUrdOzoW31ERKT0+Bxo/elPfwJg8eLF1K5dG5uWoZdybO1a80v28uXgdJp94eFm+NDdd5dMHRwOc5uaCpUqlcw1pWTt22duGzXycjDzLDjOmu3QmuZ2x9twLisdXuO/whVX53v+w4fhscfgq6/MnCOX22+HL+alwOJukLwTKjQ0B6r9CY5+D8m/FW+g5ZpjFpiVp/zId7D9H2a72ZMmQcbJX+DMTpNdsUorqFDb+7m8sdnM8MGUXZ77K7ck/Xj+62jVrm2GbbpyPi1dWuhnR5MmeQRaFzF00G43vWW//Qa//lr4OomISMnzOdByOXz4MIfzyXvbvn37PI+JlAXbtsENN8C5cxAbC/ffb+ZHLF/uuWhocfnlF/jHP2DlSjNHpHZtiIyEd96BO+8s/utfjiwLfv4ZfvjBBD9BQaYHs18/aNCg+K7ryivkNV23lZG9HZD1xXzvDDi10WxfGZtvoOV0mp6yzZvNF/8xY8wX9e3bzQ8J7P/UBFlXtIAbf4Rte6HrAkg/AVZmnuf1C3sFc5tx2vtxV6B1cgPUvaNo17ji6tyBVpUY0o+a+WF5DR202cziwuvXF+2yAE2beg/QvKZ3D/QtvTuYgPy330xPqGVl9Upi3rMiI/NPLS8iIiWv0IHW/fffn2tfzt6t7du3X1yNRErZv/5lgqz27c0X74CslDEDBhT/FJYNG6BTJ/MF/KGHzL7582HNGs3LKC7JydC3r5kvVaWKCa4rVIDp083QsXHjLvICltNkzTu+HM4dAlsgVGwE9e+hYkWzFpbXYWmBOValzThpkkZccQ2cOwhpBY9j+/57E2QFBZntxo3N/htugEceAZYvMDuaPQnBOcYtVvBxCLjlhENfwf45cPYPM0wvrC7Uvh2aDM7/sRWy5pu5eueuHg5h9WDD4+Z+xazKHv4GWr6cHVEURtVr4dCXF+yLId2xGsh7wWKA66+/uECrY8cc6fmz1K59cQsWgwmYwQTLs2bBX/4C58/DX/8K8+YVvb4+ye/fQLnnReQiWBZs3GgSRB07Zj6Dr77avBcHB2OGuR/51nz+OdLMZ02NrlCpeUGnLnWFDrTWrfNcwyQjI4Pt27fzzjvvMGzYML9VTKS0LFpkbvv2zQ6yXIp7xOy4cSbIuv12mDzZvPHExsJNNxXvdS9nb79tgqzGjU1PT86sc6fz6HDxmeM8LIk161/Vuhmu7A42O5zaDEd/oFWrKFavzmMoWEAQRESZXqeT8VAzFjrOhHUPw64pBV7a1aPSokV2kOXBFeSEN8ze90UTsM6ZdOvRr+R/gdUPwB8zoXpXaDLELBKcsgeSfy+wblRtZxYrProIop4yQWTOoYGVsnrqktbBtjdMIHbuYMHn9bjGtZ73A4KgSlv3HC1vQwdda2x17QoTJxbucjndeGPufZ07w25HPnO0Chg66KqXKyHH4MFmkesffzQ9WsXOFUy53gQVXImUH4402DcDDsyD1P0mEVFwVagaA9dNK9ZL//KLSQAVHw8xMdC2LWRkwLvvwv/+L8Re+TpsecV8TtS5w6y3eHQRHFsCnWYXfIFSVuhAK8LLGJdOnToRHBxMXFwcn3/+uV8qlpeZM2fy/vvvk5CQwFVXXcULL7zAtddem2f5tWvX8sYbb/D7779To0YNHnroIQYMGFCsdZTyId/vERnJkLTe9Cw4zpvMaOGNzVwSHySkJvDZNjOx/46oO6hbyWRJc33h7uwlGZsUXWam6S3ctMkkhkhPh8qVzRv6/PmmzD33eAZZkDtBRaHtft8EWXVuhy7/Nb1ArvlJNhs33ghTpsDq1bBli1moGEzb27ULroq83gRa+z4ygdaF8on8A543Ddg11y+X4CrmNi0he1/EVZCwCDJyL0rv4dRmE2SF1oQbvzdBzNkDUDk66wk4wZbP6iFV2pnbo99B0q+eKd0BavbM3o5/IWstsUJ+sa8S43m/elcIqug1vXvOoYMA3bqZOVEXvnauNc4K0qCBGea3d2/2vs6dYdupfBYs9mHoYM+epocyI8P8IDN58gUFnA4z5PL0Fkg/lXWBSIi83vzblhbLCQc+h4OfQ+pRqPoWLLsNApzQ6lUzN1BEAPP/++RJM9oiONgMCc65vEOx+Okv5v9n079BzLsQeqX5fpNkOld27IAPPzQ/7GRkmB4nMHPXFy4s+mUdDjNa6LffYORIM23C4/jJ7fDtGJM4qfeW7M8tKDM/9hQ60MpL1apV2ZvzU6UYLFy4kLi4OP7+97/Trl07Zs+ezZAhQ/j666+pXTv3ROkDBw4wdOhQ+vfvz1tvvcUvv/zCK6+8QtWqVb2mqC8WTgfsmACHvzJDgcLqQUAgODOhWnto8lDJ1CM/meeyAoaz5tf24MoQXK34u28uUTfdBFOnmi/gzz/v2avldFgEbBwGv/8b6vWDOneaLzLpp+DIN+5AKyE1gecWPUeGM4MOdTvwaPvsdY8sy2LwF4NZc3ANFYIqMHvLbJY+uBR7gJ2mTc0coS1bSvY5l5T0dDh61CT4yMw0b9I1a0JY2MWf+49Tf3Dv3HtJd6TTrlY7pt4+lQBbAFu2wC23mOEIY8aYHsKICDMs8PhxM7cFzHG/S9ltbiu1MP+fDi+EnwZAZipUu44ePX4mPNy8HjffDGPHmuDuww/NsIl/PHoz7P3Q/AWEQM3ukPRL9vnz6WW4eTm88Ybp7cgZxIH5cLPXugWOLYY9H0Dde8yBpn8zgVZBzmVNVgytCfYQ8x6yqDOcO2rmd/U75Tkc8ULVO0NIDUg7Dos6Qd2+cGpT9vGw2lDjRjjumuhUhA/UClea4SVns3rCavcGvKd3z5kMA8wXm/79YXaOH0vDwqB7d98vHxsL779vtitXNsHbu/PSPK4HvifDADO09d574eOPcx+zn98HX8WabI3Rr5gevYBA03OZsrd0A61tb5hguV5/6DwPtu2Bzp+Cs+yvvPzVV/DNN+Z9u2FD88XYsswX4wu/NMolInU/nNyY9b3nnFlSIiQSat4EQRULfHhxmTMH/vlPOHDArKtYp475nDxwAEaMMPOGi8rhgJ9+MkOijxwxP9i4vtv0ufkYMQc/N8PaYyaa941No+G8+VD87UR72ndrREqKqWO/ftmPTUjI44I+OnnSBFkA3r6W25O3ApYZIhhcBc4nwBcNcX8m3J0MAT7+AlZKCh1o7dixI9e+48eP89577xF1Ma3AB9OnT6dfv370798fgNGjR7Ny5UpmzZrFs88+m6v87NmzqVWrFqNHjwagSZMmbN68mf/7v/8rfKCVftJ8YKWfA2zmV9jgcPPhFZDPy7j3A9j0HNS+Fbp+ac7x2/+aX7VTvaSlKoLT50/zzpp3OJ95nvCgcJ66/ikqBvvwZnF4IWx8zvTGNBkCgRFmcnraCYjsYMa/FpeCgriL+aXi3DHY/JL5VbdmTwitAdgAJ4Q1MF+4zmw3X4Id500aaALAckDlVjz9dEM+/ti8IfXoAffdZ9K7L18Of4o+zF+rvWO+9Hb42Pzbb3zefEnMOAN1bic5tB69P+nN2YyzDLt+GEO+HEJgQCBDY4YCMGndJL767Sve7vk2lUMrM/iLwcStjGNM1zE895wZujhjhpmQ36uX+VV83ToTlNxxR/bL43CYN+GAAPOmeSnHxStXwrPPmi8jw4fDNdeY1zQlxcwjutgkH6fPn+bWT24lMCCQCT0ncMvMW4gMi+SNHm8wY4ZJz92mDbz4Yu7XKSzMDB386CMzbKF/f/Nr3caNZq5ez57eruij+vfAzn/CH5+YeUt1bodbf4P/mjlK1arBq6/CM8/AoUNmro3L1VcD9e6GKm+adad2TzV/Pura1cz3W7XKfOl/5hnzRXDbNtOz99/ZA01q92OLYNktUOUfJkGGL2p0NUHMqU2wbyY0+AvceQAWRpv/dwWxh0DLl8ycLMc58/q4uNbRin4ZlqzwTMwRWhOqXe/rS2CGau790PyAVM98bnjt0bpgjhaY9poz0Hr44cL1cPbunR1o3X23+QKe5mXoYGF6tABeecW8Rxw9mr2vTh2onDwPUvdCw/uh2RNw5jfz75v0i8kgWetiGvJFOr3V3EZeD8FZKVRX/QWOfQ2NHoTrPyi1ql2M2bPNr/EREea9rWrV0q6RFGjtENg9DVqMMW0vLcH8GHN2v+mVLyCTa3E5ccL8iALw3XcX+bnjxb33mnmc/fqZH5JdbTUjA86mVIWkxmbo97GlUOsmqNsHNr0AxxZxMPhJUlLMd42OHT1/fK5e/YILWU7TkQBmpEPOD1zLAmeGSfRks0NACNWq2ejRw7ynvfMOtGtnfpgCSEoCW3AsVYKugMQ1cGwZXHkD3JMKXzSC1H3+fZGKSaEDrT59+mCz2bAu+CLcpk0bxl30rPG8paens3XrVoYOHeqxv1OnTvyaR67bjRs30qlTJ499Xbp0Yd68eWRkZBAUFOT1cRdyrh6MtX8ONB+Bo25/4ByOw4vg9HrzgeZt0U2XWndCnW8h4Sf45Tm4ojlEXAPrHzdfGlr8Pf+L5/fJfvo0S/ct5fGFj1MpuBIPxTzE5PWTmbV5Fv/p/R861i9goZX0VMg4D6H1ILCaSSd9/GfYP8uMg7VVMA05vKHp4co8bcpYmVDpGgi5iE+VnLmmXc8x54SYrDE75zLOuedUhAeHY8/65SIhNYGPNn3Et7u+5bq617Hm4Bp6NunJg60fpIYjARI3mCAqoqX5FeTIt7D7PfMlrvXr8Otw8yWs1ThwnoXEtSZZwRXbaHbNCJYuNV9oVqzIytCGCXR69qyJo+Uk8+V5cXe4sieE1IFzi+DMTtLPJzPgqwEcPXOUO6LuYF/SPm5rehvDvxtO9QrVaVq1KS8ueZHYBrEcOXOEI2eOcEuTW3hr5Vv0aNiDG29szxdfmF9C//UvB716QceODtLTzS9df/2ryTgWG2vmkEVGmpcqKQmuvTa7d+ZSk5ZmsuBVqGBS1YeFmW2n0/zlObzNBxmODO6bdx+nzp7i9qjb+fb3b+kb1ZeJayZyVZWreP75/yEpCb791gTOXbpk92jZ7fDyy+YD6K234LnnzB+YD5M33ihcL0YuVdrDdbPMF96F7cw8JMsB9giIaAEOB088YT70XnstO6tl06bQpw84LBt0+gI2PguHvzYH7RWh2eNQPTb7hQsPN7cXvJBffGHa8bx55vxgPvcGDABHcHXo9j1sfB5H0iaoAo6jy6FSa6hxUwH/KEHQ+SuIfxHW/A02DDc99uePmMdbtoL/URsPNeXiXwRnmvk1teF9cPUY89hqnaDDHFjzP+Y1q3QNXP8hhFxZ4PN2az4a9s+H5sMhtDY4HNixEx4YToAVgCPrcUG2IMIDw8GJe1/btiY4nTIFoqNNb6jHZQq49h13mLmWv/5qesYdDrCcFuGB4QTZgtzXCbYFEx4YjsPhcO/L7/wNGpgkPbfeatpw3brmC39g8yE4UrfCoYWw6gGTTbJic/hjLthCTM76/Pg6IbGg19ybVm9CZgZs+QeOhI0Q9pRpfwHhEFj14t4ASlH37iYhyeLFMGyYeW+pVMn8gHTihAnWpfS4/j95/L+q1AZC68PpXZC40fy4fHihGcYc7YCKzUqlrlWqmPeaiRNNW+rf3yTQcTrhjz/gwQfN+odFdffd8Pvv5oe2GTPM+4jdbt5DGjUKoHPHz00v1op+cEW0Gap3+jcIrkm3bhlMnuxg6lTo0MH8ABwZaUZi7NgB30xfYjoUQqpD04fND9FntsOJVeZHe5sdfv8PXHmj+cEr44z5ke5UPDQZwsyZNzNunOkta9LE1C0z0/z4+NVXV/CnLl9B/N/NcOMKtbM+axIhIjrrjTWfJ56ZCmknzXZgBcyP7jbAMp0MAfnEARnJcHyF+TGwcivz/THtmPluGRCE/Urf5njYrAsjpgIcOnTI435AQABVq1YlpJgHkB47doyuXbsya9Ys2rVr594/efJk5s+fz3fffZfrMb169aJv3748/PDD7n2//PILAwYMYMWKFdTwMRfuqlWrCA0NvfgnISIiIiIiZVpMTEzBhShCj1adOnUKXRl/unChZMuy8l082Vt5b/vz06FDB/fjHA4HmzdvJjo6GruvM6NLWaYzk98Tf8dpOYkMi+TKij6mby7AvlP76PFRD8KCwojrHsdzi54jzZHGogcW0eCKYlx86DJRlLb23a7vGDBvAJ3rd+beFvfy7PfP0rhKY7677zve+3cEr7xixnmvXJmVMtWPDpw5QN/ZfakYXJEn/vQEj379KA+0foB/3PQPAvJLjABwbLnpdQytYXounOnmz3KYYWoVavq3suIhv7aWlplGuiMde4CdsKDCTab7af9PrNi/grCgMGpWrMldV9/l7pWWS8uT3zzJh5s+ZOItE6lTyXzOj/hhBMdTjrPnqT0ec9ouNG+eyYJYubL5xdzV6eVNfm0t/lg8SeeSCLAF0L52eyoEVTDz/r6OgqDKcOsO86v07vfhzDbzi3Or1yE0qyvf2+iIrW/A9jjTW9pmPKTugT8+hd/egXr3wHU58vB7e/zFSFwHy3pDSDUzeqJytJkbtG4I1L0Lrp+e97UzzsD3HeD8Uej0mekNOLYEto4152g/Ddb/DSo2MfPegiqbhb/XP2Kysl3zHGwcCbV6w7X/Nq/V4S/NXLk6d8BVj0HCCjPiI7xx9hAvpwOqd2DHqQP0+KgHkWGRjOo8itdXvk7S2SQWPbCIqMiovOsNpgdhcTczHK9ef6jeAVL2w2//hFq9WVzrIe6acxe1KtZyT3PYf3o/Laq3YOn/LGXetnkM/mIwtSrWonXN1mw+tplDyYeYfOtkBkQP4OGHzfIG9eubZVDq1TM9Mz//bIamf/65ud+xo4OmTTeTlBSN02mnalUzNC0v586ZuZQ7d5pepREjstvyyZPmMzM94CSDvxjM8ZTjDIgeQNyKON7o8Qb3t75g6SN/tyXx7vC3JmFSaC0zwsxymJ6yjDNmGGijB3w/VzH9mxUpGcbq1av54IMP2L17NzabjcaNG/Pggw/SsWMBQ9UuQpUqVbDb7Zy4YMGZxMREIvMYLxUZGUnCBTP1kpKSCAwMpLJrEKgPAi7M8Q3Y7fYyE2jZ7XZa1mxZcMFCalKtCfP+PI9uH3Tj+SXPczj1MMv/ZzmNq3rLJS1FVZi21juqN6/3eJ0nv32ShHMJhASFMO/P86gcVpnhw81wqDVrzFylmjUhMNAMTahVywwnuxgNqzTkhwd/YNyP41i+fzlju4/1SAKSr9qx5k9Klbe2FmYPI4yiZSvp0qgLXRp18UfVpJjdFnUbkzZMYtCXgzz2/yX6L4QG5z+i4+67zVDgZcvMcLlGjcy8Ucsy+594IvdjvLW1trXb5i5YsQ7EfgsH/wubnoXwBmaYaVhNCLwKwnP8cJia6jp5jhOcN0k3bE4IDIIKNaB+H6h3mxmClLOs18dfhN//BY6TcM1r0OgeM59x69+zkoCk53/ttHNw/g+wBUFkW/NmbZ2D5k+a47ZAcJwBewBUqG4CpbDq0HUuYDMJuJypENHQ7E8+A+G1ocN0M78ysgNc6Tm1IqcWV7bgg74fcOsnt/JB/AfsSNzBwoELuebKazwLenvN9vwHUrZB48Fw3fuQss+kDc963j2v6kmbWm3YeHQj6weu5/1f3mf86vGM6joKu93OPdH3MHPrTJbvW87LN75Mtw+60aVhF+5rcx8//gjTppmn++23JthycQ1eciX+cThcS6T49hnqSjyRmmrms1aqlH0sMtK1SHgkCwYsYNGeRWQ4Mlg6aClXV8+a1+XtB/zAHF+zy0iWvDKl3q3mz3Ee0pLMML+qLcEebn7gKMwPeykFZNstokIHWh9//DFxcXH06tWLBx4wkeKmTZsYOnQozz//PPfdd5/fKwkQHBxMixYtWLVqFTflWFTop59+onsekyjatGnDUtdiMllWrlxJy5YtfZ6fJflrV6sde5/aS0p6ChWDKxIZdolOErqMPPanx7iu7nWkZabRoHIDd+p4m83MUerRo/iuHRkWyT9v/mfxXUBEikX3xt2JCI6gWlg1pt42lTlb5zDt12n0iepT4GMDAsx8tNtvL6bKVe+c/1zo/ES/AlXamB7zVf3NFzBbVvKj5sU8ieqKrKDkxM9w1aPQYIBJkAMFf+kOqw3dvjE9b993gErNTGDoOGduO34C3RbCH7NhWS+TjjsgyCQbqNHN9KAFRcDBL8zjK9Qy53Wcg6se96n6vZr2YsWgFRxLPcbYG8dyfV0fE9Gc2W5uq2QFzqc3mzmmNW40c12AV254hR4zejB321w+3vwxHep24JarbnGfYlLvSbSY1IKO73fEwmLKbWbtwD17zPHwcNOT5U+VK5vMfJMnm4QRM2eafXa7WRj87bfNPKkAWwA9m3jJVqFAqvTYQ83/mUuRVUidO3e2ZsyYkWv/xx9/bHXq1KmwpyuUr7/+2mrRooX12WefWbt27bLGjRtntWnTxjp48KBlWZY1fvx4a8SIEe7y+/fvt1q3bm29/vrr1q5du6zPPvvMatGihfXtt98WuQ6ZmZnW+vXrrczMzIt+PiL5UVuTkqK2JpZlWfd+dq8V8EqAdTzluHXzxzdboa+FWslpyX69RrG0NfMV1/tfUc7jL5nnLGvtI5Y1p6JlfXmVZa2427J+7GtZX0ZZ1t6PC1dvp9OyMs8XvS6ODHMOf/NW39/+Y1mfYFlLbrIsp8PzWGaae7Pb9G5WwCsBFi9jfb/r+1yn3pGww/px34/W9oTt7n0nTlhW5crmknFxlpWzGe3YccGl9L4ml4BC92ilpKTQpUvuoSCdOnVi/Pjxfgn+8tK7d29OnjzJpEmTOH78OM2aNWPq1KnueWMJCQkccaXtAurVq8fUqVOJi4tj5syZ1KhRg9GjR5fcGloiIiJlRJ/mffh066fM2z6PZfuW0b1Rd9+WCiltF9OT4G24l5d16YrEHgrtJ0HbCWZu2PnjJiNbeEPz67s1sHD1tF9E0rH8lqEpigtft5z3M9PMfLDDC+Hrq01vpOWEpPUmY2rTvwEw7Y5prD20lhB7CDc1uYkLRUVGec4HwyyJ8c038OST8MILJlts3bomy2N6+sWv6yTib4XOOvjss89y9dVX89BDngvtvv/++2zdupW3337brxW81DgcDjZu3EibNm3KzBwtKZvU1qSkqK0JwJm0M1R/qzpVQqtwLPUY026fxl/b/bXgBxaC2tplJHG9WRT9/FGwVzCLzta+7eKWhsl5+kSIjzfD+qpXN3OzciaIVluTS4FPP3F89NFH7u0mTZowefJk1q5dS5s2bQAzR+uXX35h0KBBeZxBRERELmWVQioR2yiWb3d9S4AtgDui7ijtKklZVu1a81dcp68GN95YbKcX8QufAq0PPvjA436lSpXYtWsXu3btcu+LiIhg3rx5PPqoj1nGRERE5JLyQucX+FPtP1E9vDrVw6uXdnVERMo0nwKtJUuWFHc9REREpJR1adCFLg2Ukl9ExB8KWEVURERERERECsunHq24uDieeuopwsLCiIuLy7fsqFGj/FIxERGRlStX8sknn3Du3LnSrkqZUqFCBQYOHEinTnkvSisiIsXLp0Br27ZtZGZmurfzYvOWJlVERKSI5s+fz8GDB0u7GmXS/PnzFWiJiJQinwKtGTNmeN0WEREpTnfddRczZ85Uj1YhVahQgb59+5Z2NURELmuFWsEuMzOTVq1asWDBApo1a1ZcdRIREQGgU6dOl2yvjMPh4Omnn2b48OE0aNCgxK+/bNkyNmzYwLPPPlvi1xYRkYIVKtAKDAykdu3aOJ3O4qqPiIhInt555x0WL17Mv//9b+rVq+fev3nzZkaPHk1o1oqlFStWpFu3btx///0EBOTO+xQfH8+nn37K7t27sdlszJo1q9B1Wbp0KbVr13YHWYsXL2bhwoUcOnSIkJAQYmJiGDx4MBUrVnQ/5ueff2b69OkkJibSpEkTnnjiCerWrZvnNfIr37VrV2bNmsXu3btp0qRJoesvIiLFq9BZBx955BEmTJjAqVOniqE6IiIi3p07d45Vq1YRERHBDz/8kOt4eHg4c+bMYc6cObz00kssWrSI77//3uu5QkND6dGjB4MHDy5yfRYuXEiPHj3c99PS0vif//kfPvroIyZOnMjJkyeZPHmy+/ihQ4eYMGECDz30EJ988gmtWrVi3LhxOBwOr+cvqHxAQADdunXjm2++KfJzEBGR4lPoQGvGjBmsX7+eLl260KtXL/r27evxJyIiUhxWrFhBSEgIDz74IEuXLnUnafKmYcOGtGjRgj/++MPr8WbNmnHjjTdSq1atItUlKSmJPXv20KJFC/e+3r17Ex0dTXBwMBEREdx8880eCaSWLl1KdHQ07du3Jzg4mHvvvZdTp06xdetWr9fwpXzr1q1Zu3ZtkZ6DiIgUr0INHQTo3r27sguKiEiJ++GHH7jhhhvo0qUL06ZNY+3atXTs2NFr2b1797J161YefPDBIl1r27ZtvPrqq3kOKdyzZw9Vq1YlLCwsz3Ns2bKFhg0buu/v27ePxo0bu+8HBgZSr1499u3bR6tWrXI93pfy9erV49SpUyQlJVG1atXCPk0RESlGhQ60nnjiieKoh4iISJ7279/Pzp07efTRR6lQoQLXX389ixYt8gi0UlNTGTBgAACVK1fm1ltvpXv37kW63jXXXJPvvK2UlJR8g6wNGzbwww8/8MYbb7j3nT9/nvDwcI9yFStWzDOjoi/lXXVISUlRoCUicokpUo/W3LlzqVKlisf+M2fO0LdvXxYvXuy3yomIiIDpzWrUqBGNGjUCIDY2lpdffpnExESqVasGmDla3oKjSZMmsWzZMgBuuOEGHn300YuuT8WKFTl79qzXY5s2beLtt99m1KhRHj1aoaGhpKamepRNTU2lQoUKXs/jS3lXHXIm3BARkUtDoQOtQ4cOec06mJ6ezrFjx/xSKREREZfMzEyWLVvGuXPneOCBBwCwLAun08nixYu555578n38o48+6pfgKqdGjRqRlJTEuXPnPAKf+Ph4/vGPfzB8+HBat27t8ZiGDRuyd+9e9/3MzEwOHDiQZ2p4X8ofOHCAypUrqzdLROQS5HOglbOnasWKFURERLjvO51OVq9eTZ06dfxbOxERueytXbuWs2fP8s4773gMpVu4cCGLFi2if//+hT6n0+kkMzPTnVAjPT0dgODgYJ8eX61aNRo1asSWLVto3749YFLMx8XF8cwzz9CuXbtcj7nhhhv473//y/r162ndujWfffYZlSpVomXLll6v4Uv5+Ph4rr322kI9dxERKRk+B1qPPfaYe/v555/3PElgIHXq1Mm1X0RE5GL98MMPdO3aNdd6U7fffjvz588nPj7e61pZ+dm6dSujR49237/77rsB+OKLL9zHX3nlFebMmZPnOXr37s3ixYvdgdbs2bM5d+4cb731lkc51znq1q3LM888w3vvvUdiYiKNGzdmzJgx2O12r9csqLzT6WT58uWMGDGiUM9dRERKhs2yLKswD4iNjWXu3LmX7TAFh8PBxo0badOmjfvDTqQ4qK1JSVFbKxqHw8HTTz/NiBEjqF+/folff/ny5axfv55nn322xK9dVGprUlLU1uRSUOg5Wk8++aTXSbfp6eksXLiQPn36+KNeIiIilzS73c67775batfv1q0b3bp1K7Xri4hI/gq9YPGoUaNITk7OtT81NZVRo0b5pVIiIiIiIiJlWaEDLcuyvC5YfOzYMY8EGSIiIiIiIpcrn4cO9unTB5vNhs1m48EHHyQwMPuhDoeDgwcP0qVLl2KppIiIiIiISFnic6DVo0cPALZv307nzp09UuwGBQVRp06dUpkMLCIiIiIicqnxOdB6/PHHAahTpw69e/cmJCQEgOTkZL744gvef/99duzYwfbt24unpiIiIiIiImVEobMO9u3bF4DVq1czb948fvjhB2rXrk3Pnj0ZN26c3ysoIiIiIiJS1hQq0Dp69Ciff/458+bN49y5c9xyyy1kZmby7rvv0rRp0+Kqo4iIiIiISJnic6A1ZMgQNmzYwA033MCLL75Ily5dsNvtzJ49uzjrJyIiIiIiUub4HGitWrWK+++/nwEDBtCwYcNirJKIiIiIiEjZ5vM6WjNnziQ1NZV+/frRv39/Pv74Y5KSkoqzbiIiIiIiImWSz4FW27Ztee2111i5ciX33nsvX3/9NV27dsXpdLJq1SpSUlKKs54iIiIiIiJlhs+BlkuFChW4++67mTVrFl988QWDBg3ivffeo2PHjjz88MPFUUcATp8+zYgRI4iJiSEmJoYRI0Zw5syZfB/z/fff89e//pXrrruOqKgopZ4XEREREZESUehAK6fGjRszcuRIli9fzttvv+2vOnn17LPPsmPHDqZNm8a0adPYsWMHI0eOzPcxZ8+epW3btgwfPrxY6yYiIiIiIpJTodfR8sZut9OjRw969Ojhj9Plsnv3blasWMGcOXNo3bo1AK+++ir33nsve/bsoXHjxl4f16dPHwAOHjxYLPUSERERERHxxi+BVnH79ddfiYiIcAdZAG3atCEiIoJff/01z0DLX5xOJ5ZlAeBwODxuRYqL2pqUFLU1KSlqa1JS1NakONntdp/KlYlA68SJE1SrVi3X/mrVqnHixIliv/6WLVvIyMjw2Ld58+Ziv64IqK1JyVFbk5KitiYlRW1NikNMTIxP5Uo10Hr33XeZOHFivmXmzp2b5zHLsrDZbP6uVi4tW7b06NHavHkz0dHRPkezIkWhtiYlRW1NSorampQUtTW5FJRqoDVw4EB69+6db5m6deuyc+dOEhMTcx1LSkry2tPlbwEBuXOG2O12/ceVEqG2JiVFbU1KitqalBS1NSlNpRpoVa1alapVqxZYrm3btiQnJxMfH0+rVq0A2LRpE8nJybRt27a4qykiIiIiIlIoF5XevaQ0adKELl26MGbMGDZu3MjGjRsZM2YMN954o0cijJtvvpkffvjBff/UqVNs376d3bt3A7B37162b99OQkJCiT8HERERERG5fJSJQAtg/PjxNGvWjMGDBzN48GCioqJ48803Pcrs3buX5ORk9/0lS5bQp08fhg4dCsCwYcPo06cPs2fPLtG6i4iIiIjI5aVMZB0EqFy5MuPHj8+3zM6dOz3u33XXXdx1113FWS0REREREZFcykyPloiIiIiISFmhQEtERERERMTPFGiJiIiIiIj4mQItERERERERP1OgJSIiIiIi4mcKtERERERERPxMgZaIiIiIiIifKdASERERERHxMwVaIiIiIiIifqZAS0RERERExM8UaImIiIiIiPiZAi0RERERERE/U6AlIiIiIiLiZwq0RERERERE/EyBloiIiIiIiJ8p0BIREREREfEzBVoiIiIiIiJ+pkBLRERERETEzxRoiYiIiIiI+JkCLRERERERET9ToCUiIiIiIuJnCrRERERERET8TIGWiIiIiIiInynQEhERERER8TMFWiIiIiIiIn6mQEtERERERMTPFGiJiIiIiIj4mQItERERERERP1OgJSIiIiIi4mcKtERERERERPyszARap0+fZsSIEcTExBATE8OIESM4c+ZMnuUzMjJ46623uP3222nTpg2dO3dm5MiRHDt2rARrLSIiIiIil6MyE2g9++yz7Nixg2nTpjFt2jR27NjByJEj8yx//vx5tm3bxiOPPMLnn3/OxIkT2bdvH4888kgJ1lpERERERC5HgaVdAV/s3r2bFStWMGfOHFq3bg3Aq6++yr333suePXto3LhxrsdEREQwffp0j31jxoyhf//+HD58mNq1a5dI3UVERERE5PJTJgKtX3/9lYiICHeQBdCmTRsiIiL49ddfvQZa3qSkpGCz2ahUqVKhru90OrEsCwCHw+FxK1Jc1NakpKitSUlRW5OSorYmxclut/tUrkwEWidOnKBatWq59lerVo0TJ074dI60tDTGjx/PbbfdRsWKFQt1/S1btpCRkeGxb/PmzYU6h0hRqa1JSVFbk5KitiYlRW1NikNMTIxP5Uo10Hr33XeZOHFivmXmzp2b5zHLsrDZbAVeJyMjg2HDhmFZFi+//HJhq0nLli09erQ2b95MdHS0z9GsSFGorUlJUVuTkqK2JiVFbU0uBaUaaA0cOJDevXvnW6Zu3brs3LmTxMTEXMeSkpK89nTllJGRwdNPP83Bgwf58MMPC92bBRAQkDtniN1u139cKRFqa1JS1NakpKitSUlRW5PSVKqBVtWqValatWqB5dq2bUtycjLx8fG0atUKgE2bNpGcnEzbtm3zfJwryPrjjz/46KOPqFKlit/qLiIiIiIikpcykd69SZMmdOnShTFjxrBx40Y2btzImDFjuPHGGz0SYdx888388MMPAGRmZvLkk0+yZcsWxo8fj8PhICEhgYSEBNLT00vrqYiIiIiIyGWgTCTDABg/fjyvvfYagwcPBiA2NpaXXnrJo8zevXtJTk4G4OjRoyxZsgSAO++806PcRx99xHXXXVcCtRYRERERkctRmQm0KleuzPjx4/Mts3PnTve2a26XiIiIiIhISSsTQwdFRERERETKEgVaIiIiIiIifqZAS0RERERExM8UaImIiIiIiPiZAi0RERERERE/U6AlIiIiIiLiZwq0RERERERE/EyBloiIiIiIiJ8p0BIREREREfEzBVoiIiIiIiJ+pkBLRERERETEzxRoiYiIiIiI+JkCLRERERERET9ToCUiIiIiIuJnCrRERERERET8TIGWiIiIiIiInynQEhERERER8TMFWiIiIiIiIn6mQEtERERERMTPFGiJiIiIiIj4mQItERERERERP1OgJSIiIiIi4mcKtERERERERPxMgZaIiIiIiIifKdASERERERHxMwVaIiIiIiIifqZAS0RERERExM9slmVZpV0JERERERGR8kQ9WiIiIiIiIn6mQEtERERERMTPFGiJiIiIiIj4mQItERERERERP1OgJSIiIiIi4mcKtERERERERPxMgZaIiIiIiIifKdASERERERHxMwVaIiIiIiIifqZAS0RERERExM8UaBXCzJkziY2NJTo6mrvuuov169eXdpWkjJsyZQr9+vWjbdu2dOjQgUcffZQ9e/Z4lLEsi3fffZfOnTvTqlUr7r//fn7//fdSqrGUF1OmTCEqKopx48a596mtib8cO3aM4cOHc91119G6dWvuvPNOtmzZ4j6utib+kJmZyT//+U9iY2Np1aoV3bt3Z+LEiTidTncZtTUpTQq0fLRw4ULi4uJ45JFHWLBgATExMQwZMoTDhw+XdtWkDFu7di0DBw5kzpw5TJ8+HYfDwV//+lfOnj3rLvPee+8xffp0XnrpJebOnUtkZCSDBg0iJSWlFGsuZVl8fDyffvopUVFRHvvV1sQfTp8+zYABAwgKCuK9997j66+/5vnnn6dSpUruMmpr4g/vvfces2fP5qWXXmLhwoWMGDGC999/nxkzZniUUVuTUmOJT+6++27rpZde8th38803W+PHjy+lGkl5lJiYaDVr1sxau3atZVmW5XQ6rU6dOllTpkxxl0lLS7NiYmKsWbNmlVY1pQxLSUmxevbsaa1atcq67777rNdee82yLLU18Z+33nrLGjBgQJ7H1dbEX4YOHWqNGjXKY9/jjz9uDR8+3LIstTUpferR8kF6ejpbt26lc+fOHvs7derEr7/+Wkq1kvIoOTkZgCuuuAKAgwcPkpCQ4NH2goODad++vdqeFMnYsWPp1q0bHTt29Nivtib+smTJElq2bMmTTz5Jhw4d6NOnD3PmzHEfV1sTf4mJieHnn39m7969AOzYsYMNGzbQrVs3QG1NSl9gaVegLDh58iQOh4Nq1ap57I+MjCQhIaGUaiXljWVZxMXFERMTQ7NmzQDc7ctb29OwVSmsr7/+mm3btjF37txcx9TWxF8OHDjArFmzGDRoEA8//DDx8fG89tprBAcH06dPH7U18ZshQ4aQnJzMLbfcgt1ux+FwMGzYMG677TZA72tS+hRoFYLNZvO4b1lWrn0iRTV27Fh+++03Pvnkk1zHvLU9kcI4cuQI48aN4//+7/8ICQnJs5zamlwsy7Jo2bIlzzzzDADXXHMNu3btYtasWfTp08ddTm1NLtbChQv54osvmDBhAk2bNmX79u3ExcVRo0YN+vbt6y6ntialRYGWD6pUqYLdbufEiRMe+xMTE4mMjCylWkl58uqrr7JkyRI+/vhjatas6d5fvXp1AE6cOEGNGjXc+9X2pLC2bt1KYmIid911l3ufw+Fg3bp1zJw5k2+//RZQW5OLV716dZo0aeKxr3Hjxnz33Xfu46C2JhfvzTffZOjQodx6660AREVFcfjwYaZMmULfvn3V1qTUaY6WD4KDg2nRogWrVq3y2P/TTz/Rtm3bUqqVlAeWZTF27Fi+//57PvzwQ+rVq+dxvG7dulSvXt2j7aWnp7Nu3Tq1PSmU66+/ni+//JIFCxa4/1q2bMntt9/OggULqFevntqa+EW7du3cc2Zc9u3bR506dQC9r4n/nD9/Pldvld1ud/dYqa1JaVOPlo8GDRrEyJEjadmyJW3btuXTTz/lyJEj/PnPfy7tqkkZ9sorr/DVV18xadIkwsPD3ePJIyIiCA0NxWaz8cADDzBlyhQaNmxIgwYNmDJlCqGhoe4x6CK+qFixonvun0tYWBiVK1d271dbE3948MEHGTBgAJMnT+aWW24hPj6eOXPmMHbsWAC9r4nf3HjjjUyePJnatWu7hw5Onz6dfv36AWprUvpslgaq+mzmzJm8//77HD9+nGbNmjFq1Cjat29f2tWSMuzCdYxc4uLi3EO8LMti4sSJfPrpp5w+fZrWrVvz0ksv5frSLFJY999/P82bN2f06NGA2pr4z9KlS3n77bfZt28fdevWZdCgQdxzzz3u42pr4g8pKSm88847LFq0iMTERGrUqMGtt97KY489RnBwMKC2JqVLgZaIiIiIiIifaY6WiIiIiIiInynQEhERERER8TMFWiIiIiIiIn6mQEtERERERMTPFGiJiIiIiIj4mQItERERERERP1OgJSIiIiIi4mcKtERERDALOI8bN660q+HVmjVriIqK4syZM/mWi42N5YMPPiiZSomISL60YLGIiFy0hIQEpkyZwvLlyzl69CgRERE0aNCAO+64gz59+lChQoXSrmKBTp06RWBgIBUrVizS4++//37Wrl0LQFBQEHXq1KFv374MGTIEu91+UXVLT0/n9OnTREZGYrPZ+Pzzz3n99ddZv369R7mkpCQqVKhQJl5vEZHyLrC0KyAiImXbgQMHGDBgABEREQwbNoyoqCgyMzPZt28f8+bNo0aNGnTv3r20q1mgypUrX/Q57rnnHp588knS0tJYtmwZr732GgEBAQwdOvSizhscHEz16tULLFe1atWLuo6IiPiPhg6KiMhFefnll7Hb7cybN4/evXvTpEkToqKi6NWrF1OnTiU2NtZdNjk5mRdffJEOHTrQrl07HnjgAXbs2OE+/u6773LnnXeyYMECYmNjiYmJYdiwYaSkpLjLpKen89prr9GhQweio6MZMGAA8fHx7uOuYXYrVqygT58+tGrVigceeIDExESWL1/OLbfcQrt27XjmmWc4d+6c+3EXDh1MT0/nzTffpFu3brRs2ZKePXvy2Wef5ftahIaGUr16derWrct9991Hhw4dWLx4MQCnT59m5MiRtG/fntatW/PQQw+xb98+92MPHTrEww8/TPv27WnTpg233nory5cv93hOZ86cYc2aNYwaNYrk5GSioqKIiori3XffBXIPHTx8+DCPPPIIbdu2pV27djz11FOcOHGiUK+3iIgUjQItEREpspMnT7Jq1SoGDhxIWFiY1zI2mw0Ay7IYOnQoCQkJTJ06lc8//5wWLVrw4IMPcurUKXf5/fv3s3jxYiZPnsyUKVNYt24d7733nvv4m2++yXfffccbb7zB/PnzadCgAQ899JDHOQAmTpzIiy++yOzZszl69ChPP/00H330ERMmTGDq1KmsWrWKGTNm5PncRo4cycKFCxkzZgzffPMNr7zyCuHh4YV6fUJCQsjIyADg+eefZ8uWLfznP//h008/db8eruNjx44lPT2djz/+mC+//JLhw4d7fU3btm3LCy+8QMWKFVm5ciUrV65k8ODBucpZlsVjjz3G6dOnmTFjBtOnT+fAgQMMGzbMo1xBr7eIiBSNhg6KiEiR7d+/H8uyaNSokcf+6667jvT0dAD+8pe/MGLECH7++Wd+++03Vq9eTXBwMADPPfccixYt4rvvvuPee+8FTIAQFxfnnit1xx13sHr1aoYNG8bZs2eZPXs2cXFxdOvWDYBXX32VVatWMXfuXB566CF3HZ5++mliYmIAuPvuu5kwYQKLFi2iXr16APTq1Ys1a9Z4Hda3d+9evvnmG6ZPn07Hjh0B3I/zhdPpdAdBDz74IPv27WPJkiXMmjWLdu3aATB+/HhuuOEGFi1axC233MLhw4fp1asXUVFR+V4vODiYiIgIbDZbvsMJf/rpJ3bu3MnixYupVasWYILUW2+9lfj4eFq1agXk/3qLiEjRKdASEZGL5uq1cpk7dy5Op5Phw4e7A66tW7dy9uxZrrvuOo+y58+fZ//+/e77derU8UhIUaNGDRITEwET2GVkZLiDFTCJJ1q1asXu3bs9zusKWACqVatGhQoVPIKXyMhINm/e7PX5bN++HbvdTvv27X16/i6zZs1i7ty57l6qO+64g8cff5yffvqJwMBAWrdu7S5bpUoVGjVq5K73Aw88wMsvv8zKlSvp2LEjPXv2pHnz5oW6fk67d++mZs2a7iALoGnTplSqVIk9e/a4A638Xm8RESk6BVoiIlJk9evXx2azsWfPHo/9roAmNDTUvc/pdFK9enWvw/UiIiLc24GBuT+aLkyQe2FgZ1lWrn05z2Oz2XKd12az4XQ6vT6vnPUujNtvv52HH36Y4OBgatSo4c42mFeC35z17t+/P507d2bZsmWsWrWKqVOn8txzz3H//fcXqS7eXhNvdfHl9RYRkcLTHC0RESmyKlWq0KlTJz7++GPOnj2bb9kWLVpw4sQJ7HY7DRo08PjzNVte/fr1CQoKYsOGDe59GRkZbNmyhSZNmlzUc8mpWbNmOJ1O1q1bV6jHVaxYkQYNGlCrVi2PlO5NmzYlMzOTTZs2ufedPHmSffv2edS7Vq1aDBgwgIkTJzJo0CDmzJnj9TpBQUE4HI5869K0aVOOHDnCkSNH3Pt27dpFcnKyX18rERHxToGWiIhclL///e84HA769evHwoUL2b17N3v27OG///0ve/bscQccHTt2pE2bNjz22GOsWLGCgwcP8ssvv/DPf/4zzyF8FwoLC2PAgAG8+eab/Pjjj+zatYsXX3yR8+fPc/fdd/vtOdWtW5e+ffvywgsvsGjRIg4cOMCaNWtYuHBhkc7XsGFDunfvzosvvsj69evZsWMHI0aM4Morr3Snvh83bhwrVqzgwIEDbN26lZ9//jnPgKhOnTqcPXuW1atXk5SU5JE90aVjx45ERUUxfPhwtm7dSnx8PCNHjuRPf/oT0dHRRXoeIiLiOw0dFBGRi1K/fn3mz5/PlClTmDBhAseOHSMoKIimTZsyePBg/vKXvwBmqN7UqVP517/+xQsvvMDJkyeJjIzk2muvJTIy0ufrDR8+HMuyGDlyJKmpqbRs2ZJp06ZxxRVX+PV5vfzyy7z99tu8/PLLnDp1itq1a/O3v/2tyOeLi4tj3LhxPPzww2RkZHDttdcydepUgoKCADO0cuzYsRw9epSKFSvSpUsXRo0a5fVc7dq1489//jNPP/00p06d4vHHH+eJJ57wKGOz2fj3v//Nq6++yn333YfNZqNLly68+OKLRX4OIiLiO5ulgdgiIiIiIiJ+paGDIiIiIiIifqZAS0RERERExM8UaImIiIiIiPiZAi0RERERERE/U6AlIiIiIiLiZwq0RERERERE/EyBloiIiIiIiJ8p0BIREREREfEzBVoiIiIiIiJ+pkBLRERERETEzxRoiYiIiIiI+JkCLRERERERET/7fxrqnZiGPvQKAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1000x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 3))\n",
    "ax = plt.subplot(111)\n",
    "plot_logo(X_attr[0], ax=ax, start=950, end=1050, annotations=annotations[0], n_tracks=1)\n",
    "\n",
    "plt.xlabel(\"Genomic Position\")\n",
    "plt.ylabel(\"Attribution\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "00e970cc-32cb-40f0-8939-56ba64e30075",
   "metadata": {},
   "source": [
    "The result looks similar. The key from the original dictionary of motifs is now displayed under the bar, the number is the FIMO score associated with that hit (not a p-value or log p-value) and the span extends from the beginning of the hit to the end of the hit according to FIMO."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a7641255-d122-430a-ab70-e0905278ba97",
   "metadata": {},
   "source": [
    "#### Annotations from Seqlets\n",
    "\n",
    "An alternative method for getting annotations is to identify spans of high attribution that are agnostic to the actual sequences that have those high attribution values. Basically, rather than looking solely at nucleotide sequence you can look solely at attribution values. These spans are usually called \"seqlets\" and you can read more about them in the tutorial specifically about seqlets. However, all you need to know here is that `tfmodisco_seqlets` returns two pandas DataFrames where one corresponds to seqlets with positive attribution and one refers to those with low attribution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "ed6d0d17-604f-4518-ba2c-3be3fd7e9c4e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>example_idx</th>\n",
       "      <th>start</th>\n",
       "      <th>end</th>\n",
       "      <th>strand</th>\n",
       "      <th>score</th>\n",
       "      <th>attr</th>\n",
       "      <th>seq</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>975</td>\n",
       "      <td>1016</td>\n",
       "      <td>*</td>\n",
       "      <td>1.829215</td>\n",
       "      <td>1.829215</td>\n",
       "      <td>GCGTCGAGAGGTGACTCATCG</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0</td>\n",
       "      <td>895</td>\n",
       "      <td>936</td>\n",
       "      <td>*</td>\n",
       "      <td>0.166398</td>\n",
       "      <td>0.166398</td>\n",
       "      <td>ATCCCAGGGAGTTACGGTACG</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "      <td>1065</td>\n",
       "      <td>1106</td>\n",
       "      <td>*</td>\n",
       "      <td>0.124988</td>\n",
       "      <td>0.124988</td>\n",
       "      <td>CCGAACCGAAAGGCTTCCTCT</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0</td>\n",
       "      <td>1029</td>\n",
       "      <td>1070</td>\n",
       "      <td>*</td>\n",
       "      <td>0.119661</td>\n",
       "      <td>0.119661</td>\n",
       "      <td>CGCGGCGGGTGCGGGTGACCT</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0</td>\n",
       "      <td>1090</td>\n",
       "      <td>1131</td>\n",
       "      <td>*</td>\n",
       "      <td>0.100620</td>\n",
       "      <td>0.100620</td>\n",
       "      <td>GGACACGTGTCATTACAAGCT</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0</td>\n",
       "      <td>1259</td>\n",
       "      <td>1300</td>\n",
       "      <td>*</td>\n",
       "      <td>0.098122</td>\n",
       "      <td>0.098122</td>\n",
       "      <td>GTTGCTTCTTGATTGAAGTCG</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>0</td>\n",
       "      <td>940</td>\n",
       "      <td>981</td>\n",
       "      <td>*</td>\n",
       "      <td>0.095535</td>\n",
       "      <td>0.095535</td>\n",
       "      <td>GAGCTAAGGAGTAAGGCGAAC</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>0</td>\n",
       "      <td>1209</td>\n",
       "      <td>1250</td>\n",
       "      <td>*</td>\n",
       "      <td>0.064753</td>\n",
       "      <td>0.064753</td>\n",
       "      <td>TGACGCCAACTATGGCCGGCG</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>0</td>\n",
       "      <td>868</td>\n",
       "      <td>909</td>\n",
       "      <td>*</td>\n",
       "      <td>0.054478</td>\n",
       "      <td>0.054478</td>\n",
       "      <td>GCGACCTGATCAAGCTACGCG</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>0</td>\n",
       "      <td>1806</td>\n",
       "      <td>1847</td>\n",
       "      <td>*</td>\n",
       "      <td>0.050920</td>\n",
       "      <td>0.050920</td>\n",
       "      <td>TATGCTGTAATTGTCTACTGT</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\n",
       "      <td>0</td>\n",
       "      <td>1893</td>\n",
       "      <td>1934</td>\n",
       "      <td>*</td>\n",
       "      <td>0.050521</td>\n",
       "      <td>0.050521</td>\n",
       "      <td>ACAGTATTGCAAAGCTTATGA</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    example_idx  start   end strand     score      attr                    seq\n",
       "0             0    975  1016      *  1.829215  1.829215  GCGTCGAGAGGTGACTCATCG\n",
       "1             0    895   936      *  0.166398  0.166398  ATCCCAGGGAGTTACGGTACG\n",
       "2             0   1065  1106      *  0.124988  0.124988  CCGAACCGAAAGGCTTCCTCT\n",
       "3             0   1029  1070      *  0.119661  0.119661  CGCGGCGGGTGCGGGTGACCT\n",
       "4             0   1090  1131      *  0.100620  0.100620  GGACACGTGTCATTACAAGCT\n",
       "5             0   1259  1300      *  0.098122  0.098122  GTTGCTTCTTGATTGAAGTCG\n",
       "6             0    940   981      *  0.095535  0.095535  GAGCTAAGGAGTAAGGCGAAC\n",
       "7             0   1209  1250      *  0.064753  0.064753  TGACGCCAACTATGGCCGGCG\n",
       "8             0    868   909      *  0.054478  0.054478  GCGACCTGATCAAGCTACGCG\n",
       "9             0   1806  1847      *  0.050920  0.050920  TATGCTGTAATTGTCTACTGT\n",
       "10            0   1893  1934      *  0.050521  0.050521  ACAGTATTGCAAAGCTTATGA"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from tangermeme.seqlet import tfmodisco_seqlets\n",
    "\n",
    "\n",
    "pos_seqlets, neg_seqlets = tfmodisco_seqlets(X_attr)\n",
    "pos_seqlets"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "70ab1c9b-f38e-4e2b-af65-3cf8bf689959",
   "metadata": {},
   "source": [
    "In this case the `score` and `attr` columns are the same because they are both based on attribution value. Another notable difference is that, rather than having motif names in the first column, you have the example index from the set of attribution values you passed in. Despite these small differences, we can still pass them in to the same function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "c05c0e70-0be5-4481-824e-02cc6e774108",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 1000x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 3))\n",
    "ax = plt.subplot(111)\n",
    "plot_logo(X_attr[0], ax=ax, start=950, end=1050, annotations=pos_seqlets, n_tracks=1)\n",
    "\n",
    "plt.xlabel(\"Genomic Position\")\n",
    "plt.ylabel(\"Attribution\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8d2bfe5e-5a57-4158-bc88-788b2db3dc41",
   "metadata": {},
   "source": [
    "One caveat being that the seqlet dataframe contains seqlets from every example that you called seqlets on. If you only called seqlets on one example (the one being plotted) this is fine. Otherwise, you'll need to partition the data into seqlets from just the example you are operating on."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "cf51c109-0b00-46c9-9073-0e676a4d09e7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA1oAAAEmCAYAAAB73eENAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8fJSN1AAAACXBIWXMAAA9hAAAPYQGoP6dpAABV6ElEQVR4nO3dd3xUVf7/8ddkUiAh1NBCLxJcOhGVJgoIgoIgILJYfqiwYkcBpegignEV3PULywLioiKCCMKiYgMEAZGi9KLSpIfQkwApM/f3x8lMMqRNwiQhyfv5eOQxd869c++Z4TAznznnfI7NsiwLERERERER8Rm/gq6AiIiIiIhIUaNAS0RERERExMcUaImIiIiIiPiYAi0REREREREfU6AlIiIiIiLiYwq0REREREREfEyBloiIiIiIiI8p0BIREREREfExBVoiIiIiIiI+pkArh5xOJ9u3b8fpdBZ0VaSIU1uT/FIc29rm45uxvWbD9poNy7IKujrFRnFsa1Iw1NbkeqBAK4csyyIpKUkfzJLn1NYkvxTHtpboSHRvOyxHAdakeCmObU0KhtqaXA8UaImISLGTNtBKuy0iIuIrCrRERKTYUaAlIiJ5TYGWiIgUOwq0REQkrynQEhGRYifJkZThtoiIiK8o0BIRkWJHPVoiIpLXFGiJiEixo0BLRETymgItEREpdhRoiYhIXlOgJSIixU6SMynDbREREV9RoCUiIsWOerRERCSvKdASEZFiR4GWiIjkNQVaIiJS7CjQEhGRvKZAS0REih2toyUiInlNgZaIiBQ76tESEZG8pkBLRESKHQVaIiKS1xRoiYhIsaNAS0RE8poCLRERKXa0jpaIiOQ1BVoiIlLsqEdLRETymgItEREpmiwLfn0RYtam26VAS0RE8poCLRERKZqOLYXf3oE190FSnMcuBVoiIpLXFGiJiEjR9Mc0c5sQA0c/99ilQEtERPKaAi0RESl6LAvObkq9f3Sxx26PZBhasFhERPKAAi0RESl64vZD4rnU+ye+A2ey+25B9mjtiN5B8MRggicG47Sc+XptERHJPwq0RESk6Dmz0fO+4xJc2OW+W5CB1uXky+4/DVsUESm6FGiJiEjRc3WgBXBmg3uzIAOtK8lXMtwWEZGiRYGWiIgUPed+SV8W+4d7M+28rPxesDghOSHDbRERKVoUaImISNET/2eWuxMdiQTZg9zb+SnBkZDhtoiIFC0KtEREpGhxOuDy8SwPSXQkEhwQ7N7OT+rREhEpHgpdoDV37lw6duxIkyZNuO+++9i8eXOmx3733XcMGjSIW2+9lZYtW9K/f3/WrFmTj7UVEZF8d+UkWI4sD0l0JBISGOLezgvz58Nzz4HzqsSCmqMlIlI8FKpAa9myZURFRTF06FCWLFlCZGQkgwcP5vjxjH+53LRpE23atGHmzJl8/vnn3HLLLQwdOpTdu3fnc81FRCTfXDqS7SFJziRCAkLc27528CA8/jj83//Be+957tPQQRGR4qFQBVqzZ8+mT58+9OvXj3r16jFmzBiqVKnCvHnzMjx+zJgxDB48mKZNm1K7dm1eeOEFatWqxcqVK/O55iIikm8uHc32kERHIiUDSrq3fW3OHIiPN9uzZnnu09BBEZHiwb+gK+CtxMREdu3axZAhQzzK27Zty5YtW7w6h9PpJD4+nrJly+bo2k6nE8uyAHA4HB63InlFbU3yS5Fra5dPgV9I+nLLH1Keoz/+lA0sS+mA0tgsm8+f+08/QUhKFfbsgX37oE4dcz/ZkUyIv9mZkJxQdF53LxS5tibXLbU1yUt2u92r42yWK4K4zkVHR3Pbbbcxb948WrZs6S6fPn06ixcv5ttvv832HLNmzeK9995j2bJlVKhQwetrb9++naSk/E3/KyIiIiIi15/IyEivjis0PVouNpvN475lWenKMvLll18ydepUpk2blqMgC6Bx48YePVo7duygSZMmXkezIrmhtib5pdC1tTJlMt934QJsfQn2TU+/74ZnoNkEACq+XZHW1Vvzy/FfaFK5Cd88+I3Pqrd6NfTs6Vk2YABMT6nSm2veJGpdFAAf9/6YHhE9fHbt612ha2tSaKmtyfWg0ARa5cqVw263c/r0aY/yM2fOEBYWluVjly1bxpgxY3j33Xdp06ZNjq/t55d+Kpvdbtd/XMkXamuSXwpNW3NNfsqI3Q4JJ8GZwTG2ZLDbsSyL8wnncdqcJJNMbFKsT5/3qlXpq7hhg6kaQLwjnvhkc8AV55XC8Zr7WKFpa1Loqa1JQSo0yTACAwNp1KgR69at8yj/6aefaNGiRaaP+/LLL3n55ZeZPHkyt99+ex7XUkREClzi2dTtUvWgVF2P3Q7LgYVFgF8AAfYAnyfD2LkzfVna0edKhiEiUjwUmh4tgEGDBjFy5EgaN25MixYt+PTTTzlx4gQPPPAAAJMnTyY6Opq33noLMEHWSy+9xOjRo2nWrBkxMTEAlChRgtDQ0AJ7HiIikofSBlqRU8C/FKy4LXV3SmAVaA8kwM/3gdaBA1nvV3p3EZHioVAFWt27d+fcuXNMmzaNU6dO0aBBA2bOnEm1atUAiImJ4cSJE+7jP/30U5KTkxk/fjzjx493l/fu3Zs333wz3+svIiL5wBVo2fyh8h1gLwFlGrt3JzlM91KAPYBAe6BP19GyLNi/P+tjtGCxiEjxUKgCLYCBAwcycODADPddHTzNmTMnP6okIiLXk8QL5rZMIxNkAVTulLo7pQfLNXQwR8FOVsmXLIuYGIiLy/oUHj1aGjooIlJkFZo5WiIiIl5xpgRO5VKXAqFiO/dm2qGDgfZAnw4dzG7YIFw1R0tDB0VEiiwFWiIiUrQ4Lpvb0g1Sy8Jauzc9erR8PEfr2LHsj1GPlohI8aBAS0REig6nA1xzrkpWSy0vGQ6B5YGrkmH4OOvgqVPZH6MeLRGR4kGBloiIFB3ONIFL2kDLZjNztsCd/MKdDMPhu2QY0dHZH6NkGCIixYMCLRERKTpcwwYBSlb23JcSaOXl0MGre7Tq109/jIYOiogUDwq0RESk6HCk6SEKKOO5r1QdIP3QQYflwOF0+OTyaQOte++FbdvSB1sJyQmEBISYbQ0dFBEpshRoiYhI0ZE20PK/amF6m/nIc/dopQwdBHy2llbaoYN9+0JwMDz1lOcxCY4EQoNC3dsiIlI0KdASEZGiI+3QQf9SGR7iXrA4Zehg2rJrdfZs6nbrlESHXbp4HnMl+QqhgaHubRERKZoUaImISNHh6tGyB4OfPcNDrh46mLbsWl26ZG7DwqBuXbN9441QqVLqMQnJCQQHBONn89McLRGRIkyBloiIFB2uHq1MerMg46GDvg60IiJMokMwt7fcknpMgiOBIP8gguxBGjooIlKEKdASEZHCxbLM39X3LSu1RysgNOPHclWPll/e9GjVrOlZ3qRJ6nZCcgJB9iAC7YHq0RIRKcIUaImISNHhTAm0rk6EkYZ7Ha20c7R8kAzDsiA+3mxnFWhdSb5CoD2QIP8gzdESESnCFGiJiEjR4Ro66EWPlq+HDiYkpHa0pZ2TBWaeFoDTcpLkTNLQQRGRYkCBloiIFB2uoYNezNHKVTKMLIYtuoYNApQt6/mwoCDPawfZgwjyD9LQQRGRIkyBloiIFB3uQCs400PcPVpphg76okfLNWwQoEyZjI9xBVaB9kAzR0s9WiIiRZYCLRERKTpcQwdtGad2hzTraKVdsNgH62il7dHKNNBKCazcQwfVoyUiUmQp0BIRkaLD1aOVRaCVV+toeRNouZJfuIYOKhmGiEjRpUBLRESKDsthbr0ItAL8fJsMIydDB93p3TV0UESkyFKgJSIiRYflNLc2/0wPyat1tLJKhuHiCqwC7YHuoYNW2uQaIiJSZCjQEhGRIiQlaPGmR8sekO9DB909Wv5m6KCFRbIz+ZqvLSIi1x8FWiIiUnS4e7SySIaRZsFidzIMHyxY7Aq0AgNT07lfLe0cLde1NU9LRKRoUqAlIiJFSPaBVl4NHXTN0SpRIvNjrs46mLZMRESKlswHsYuIiBQ2V/doRf8Aa/uY7dIN4c6f8nzooH8Wn6xp19EK8g/yKBMRkaJFgZaIiBQhV83RciZD4jmznXQRyLusg0kpow+zDLQcqVkH1aMlIlK0aeigiIgUHTmYo5V26KAvFix2plzanvmlPZJhuII89WiJiBRNCrRERKTo8CLQyquhg65AK6seLY8Fi1N6tJQMQ0SkaFKgJSIiRUjK0EE/79bRymro4KVLMGMG/PGHd1f2JtDyWEfLX0MHRUSKMs3REhGRosO9+K8t00PSztHKLOug0wmdO8P69Wbx4V9+gbp1s760V4GWhg6KiBQb6tESEZGiw5YSYFmOTA9xzcdKO3Tw6nW0vvjCBFkA58/D8OHZX9qRcsks52gpGYaISLGhQEtERIqQlI+1LAItb7IOTp7s+ZglS+DQoayvnKM5Wv5B7qGDmqMlIlI0FbpAa+7cuXTs2JEmTZpw3333sXnz5kyPPXXqFC+++CJdu3alYcOGTJw4MR9rKiIi+c7mXaDl7+ePzWbLcOjgH3/AmjWej7Es2LQp60vnZOhgoD0wtUdLQwdFRIqkQhVoLVu2jKioKIYOHcqSJUuIjIxk8ODBHD9+PMPjExMTKVeuHEOHDqVhw4b5XFsREcl3XgZargArox6t1atzd+mcJMMIsqeZo6WhgyIiRVKhCrRmz55Nnz596NevH/Xq1WPMmDFUqVKFefPmZXh89erVGTt2LL169SI0NDSfaysiIvnPizlaziRsNhs/HPyBX078YsrSrKP144+5u7IrD4ct8zwcHskw3FkH1aMlIlIkFZqsg4mJiezatYshQ4Z4lLdt25YtW7bk6bWdTidWyieoI2W2s+tWJK+orUl+KbRtLSTE3HrUOxD8QsDyM+VOzH0AWwlwOLBjx2bZ6PFJD3Ma/xCwUp//zp2pp07LZktzqQyuHRhoigMCrqpSGk6nkxD/EAJsAZTwK0GIfwjJjuTC99rnUqFta1LoqK1JXrJnlfUoDZtluXPhXteio6O57bbbmDdvHi1btnSXT58+ncWLF/Ptt99m+fiHHnqIhg0bMmbMmBxfe/v27SQlJWV/oIiIiIiIFGmRkZFeHVdoerRcbFeNybAsK12ZrzVu3NijR2vHjh00adLE62hWJDfU1iS/FNq2VqaMub1wIbVs91uweyLUfhBu+jecXAlre5t9pRtClw1ETI3gZNxJj1PdfcPdfNLnE/bvhzS/5fH883DgACxdCh98AL17Z37tqCh4802IiICNGzOu8qP/e5RFexax96m97IrZRZ8FfXj1tld5sc2LuX4ZCpNC29ak0FFbk+tBoQm0ypUrh91u5/Tp0x7lZ86cISwsLE+v7eeXfiqb3W7Xf1zJF2prkl8KXVuLjze3aevs5wRnPFhXTLkf5j64yy4mXiQ+Od7zVMnx2O12/vgj9bQRETB+PCQnQ7NmZg6W+1IZXNvpNMVxcZmvpRWbFEt8cjwlA0sS6B9IfHI8lxyXCtfr7gOFrq1JoaW2JgWp0CTDCAwMpFGjRqxbt86j/KeffqJFixYFVCsREbm+eL+OVkZl0dGpZc8+C35+Zu7VCy9kf2XXd7mspoS4MgwG2gOVDENEpIgrNIEWwKBBg1i4cCELFy5k//79vPHGG5w4cYIHHngAgMmTJzNy5EiPx+zZs4c9e/YQHx/P2bNn2bNnD/v27SuI6ouISF7zMynT3YFW5duh558eh2QVaJ09m1rWsWPqdp8+WadtBxOUgekBy0zaBYtd6d21YLGISNFUaIYOAnTv3p1z584xbdo0Tp06RYMGDZg5cybVqlUDICYmhhMnTng8plevXu7tXbt28eWXX1KtWjVWrlyZn1UXEZH84F/S3LoCLb8ACCzrcYg3gVbJktCgQer+8uWhbdusL+1NoOXqvQrwC0hdsFjraImIFEmFKtACGDhwIAMHDsxw35tvvpmu7LfffsvrKomIyPXCr4S5dWacKdZpOXFkMKzQFWidOWPuV6+eGji5VKqUzaW9CbQcCQTZg7DZbBo6KCJSxBW6QEtERCRT9pRAKzkuw91pFyb2KE8JzFw9WikDJXLEFWhlOUcrOYEkZxL3fXof8UkmoYZ6tEREiqYcB1qnT5/mH//4B+vXr+fs2bNcvQzXnj17fFY5ERGRHMkm0Mpo2GDaclegFR6e80uXTBm1mF2PltNysnjvYo8yEREpenIcaL388sucOHGCJ598kkrZjaMQERHJT/aUaCfp2gKt3PRoBQenXDqL9e0zSnyhZBgiIkVTjgOtX375hU8++YQbb7wxL+ojIiKSe+4erdgMd3sbaOXmd8SQEHN76ZJZUyuDJRgznI+lOVoiIkVTjtO7V61aNd1wQRERketCdnO0MkmS4Zq7de6cue8aBpgTrh4ty4LYjOO8DIcJauigiEjRlONAa/To0UyePJmjR4/mRX1ERERyz+/a5mglpuwODMz5pV2BFsCFCxkfox4tEZHiI8dDB4cNG8bly5e58847KVGiBAEBAR77N27c6LPKiYiI5IhrHS3HFXAmg5/nx1x2gZYrkUVQUM4v7Ro6CBkHWpZlZT1Hy2bL/OQaSSIiUujkONAaPXp0XtRDRETk2rl6tMD0anmxWLGr3LJSU7PnJtBK26N1/nz6/cnOZCzSB0y5GTpoWXD6NISFZR2fiYhIwclxoNW7d++8qIeIiMi1s6cJtJJi0wVaWa2j5XBYgIlarjXQyqhHK7OAKqdDBw8fho4dYf9+aN4cFi2CunVzdAoREckHuVqw2OFwsHz5cvbv34/NZqN+/fp07NgRu93u6/qJiIh4L22glXgGQmp47M6sRwvgSmIyYIbD52aOVnZDBzMLqHLSo3XiRGqQBbB1K9x1F2zfDiVKZPlQERHJZzkOtP7880+GDBlCdHQ0derUwbIsZsyYQZUqVZg5cyY1a9bMi3qKiIhkL22gdfkElGvusTurQCvJmYgr0MrNlKiserQsyzc9Wq+9lhpkufzxh0lLn5tFlkVEJO/kOOvghAkTqFGjBqtWrWLx4sUsWbKEH374gerVqzNhwoS8qKOIiBRHsftgWVNYEALrHoArp7J/jF+aMX+XT6TbnVWg5SB1X0IuEgGmDbRc63G5HDuW+cLE3i5YHBsLH36Y83qJiEjByHGgtWnTJkaMGEHZsmXdZeXKlWP48OFs2rTJl3UTEZHiKu4grLgdLuwAxyU4/Cms7GgyCWbFZkvt1bp0JN3uzNbRAnCQui83gZbdnjq36+oVUHbs8GLooGWl/rmkub9iBVxJicn8/ODee9WLJSJyPctxoBUYGEh8fHy68vj4+HSp3kVERHJlxzi4fMyz7MIuyCJQcnNlHrywI90uV4/W062eZuvftrL1b1vpWKcjYIYO+qcMqE/MvOMrS65erSNXxXg7dmQ+dDDZmYzTcmZ77lWrUrf/9S9YsgR27YJGjXJVVRERyWM5DrRuv/12Xn31VbZt24ZlWViWxdatWxk3bhwdO3bMizqKiEhxkhQLh+fn/vH+KVkpzm1Nt8sVaNUsU5NmVZrRrEozwoLD3PtcgVZuerQgNdA6eNCzfOvWrOdieTNPa98+c1unDjz1lNkuWxZmz1aKdxGR61GOA62xY8dSo0YN+vfvT5MmTWjSpAkDBgygZs2ajBkzJi/qKCIixUn0CnCmdClV7Qad10CDZ7x/fGB5cxu3HxLPm2GIKVyBVqA9Na2gazvRkejO3JfbQMuVefC338ycKjBram3blvVcLG/maR04YG47dTJDB11atYIqVXJXXxERyTs5zjpYunRp/vOf/3Do0CEOHDiAZVnUr1+fWrVq5UX9RESkuHH1RJWsBu0WgX9JqNjOczHirASWS93+fQpcOuy+61pHK8CeOtQ9wC/Ava98eRMYZTBC3iulSplbpxM2b4Y77oA1a8z9rNK4Z5fi3bJSe8latEi/Xz1aIiLXn1ytowVQu3Ztateu7cOqiIiIYHqiAGrcZ4Isl6YTwObFeo1B5VO3d7zqsSujHi1XoJXoSKR8edNzdCJ9wkKvVKqUur1mjQm0Pv3U3HcND+xWvxt31b8LgNlbZ7P15NZshw6ePJmaCKNJk9zVTURE8pdXgVZUVBTPPfccwcHBREVFZXnsqFGjfFIxEREpBk6ugPPbIKQOhHcHexDEpYyRK9/K81i7l6sIB5bPdJcr0HIFV+A5dLB8ykOPH/fuUlerXDl1+//+z8yhmjsXGjZM7bVqX7M9z97yLAAbjm0wgVY2PVppA7/ymT89ERG5jngVaO3evZvk5GT3toiIyDVJjocNj3smvQipAx1XpPZolW2Wu3N7EWh59GjZU3u0KlQwZceOpXuoV9L2aJ05A889l3rfNQ8ryD91ra8ge5DHvsyknTPmGp4oIiLXN68CrTlz5mS4LSIivrFmDaxcCSVKwD33XJWy+9Qa2PMWJJ6Bci2gwbNQOqLA6uoT28emzywYfxAu7E1dmDjtXKuc8KZHK4M5Wr7o0UobaF3NNTzQFVyl3c5u6GDaQCs0NHd1ExGR/JXjrIOjRo0iLi4uXfmlS5c0bFBEJIcuXoSePeG222DcOHj5ZWjcGN57L+WAXVGw4jY4/iWcXg9/TIOvm3oualvYJJyFfdPNdqm6cNN/4C+jIKA0WA4g5bkFpEQUO/4OPw00f2c2ZX/+oLBMd7kWLM4o62CSM8kdaB07lj7z4G+/ZX/ptEMHr+YaHujRo5Wy7U0yDBERKVxyHGgtWbKEhAzy3l65coX//e9/PqmUiEhxMWQIfPGF2bbZwJ6S62HfPuDiXtiesmyGf6jJvBdQNjX1eWEVsxYcVyCgDHTZADc8Ac3egK6/eAZJrvWwTnwHf35i/i4dyficaQVXy3RXRnO00g4ddAVayclmkWGXgwdh+/bsL51loJVBj5YryMuuRyso9SG5zogoIiL5y+tAKy4ujtjYWCzLIj4+nri4OPffhQsX+PHHHymvGboiIl7buzc1I13PnnDqFFy6BP/9b8o8nIMfARaUqg937zHrSfU6Bjc8WZDVvnbnfjG31Xp4Blah9aF8mtzljuzXlspQyeqZ7spuHS3XHC2ApUtTtz/4wLtLZ5WMN8MeLbt3PVppAy3X+lwiInJ98zq9+0033YTNZsNms9G1a9d0+202G888k4MFJUVEirkVK8xtiRLw0UdQpoy5P2gQJCYCa34yBQ1fSO2l8Q+Gm/7t24q4xqXl1/i0c1vMbcV26ff5pcksmByXOnwwJ4KzD7Qym6MVHp567LRpZihnbKzZnjYt+0vXrm16JjN6KV0JL9IGea6gK7tkGGnnfp0/n309RESk4HkdaH300UdYlsUjjzzClClTKOP6RgAEBAQQHh5O5azGTIgUQqdPmyFDJUpARAQEepldWsQbq1aZ27vuSg2yXAIDnKnzkaqm/3ErJ86dM4vnJibCDTeYP5sNuBwNu9+APz+HWktgSTWoeLMJ5EJqXtM1s5RwxtwGVTS30T/A6Z/NdvmbzPDIpPOQdBFKVoVWM2DXBDjymXfnDywH9hLpe8RsAe4FizPKOpjkSKJhw9TDz5wxiUmOHjXvBV5dOhBq1IDDh9Pvu5ahg+Hh5tyJibBrF7Rp4119RESk4HgdaN18880ArFixgvDwcGxahl6KsI0bzS/Zq1eD02nKQkLM8KG+ffOnDg6HuY2Ph9Kl8+eakr8OHTK3depksDP5Ejgume0SVczt3nfgcko6vLqPQZkbszz/8ePw1FPw5ZdmzpFLjx6wdFEcrOgAsb9BydpmR4Wb4eR3EPt73gZarjlm/il5yk98C3v+YbYbPGsSZJz7FS7+ZrIrlmsKJcMzPldGbDYzfDBun2d52cYknsp6Ha3wcDNs05Xz6YcfcvzsqFcvk0DrGoYO2u2mt+z332HLlpzXSURE8p/XgZbL8ePHOZ5F3ttWrVpluk+kMNi9G26/HS5fho4d4aGHzPyI1as9Fw3NK7/+Cv/4B6xda+aIhIdDWBi8+y7ce2/eX784siz4+Wf4/nsT/AQEmB7MPn2gVq28u64rr1CG6bqtpNRtv5Qv5gfnwPmtZrtyxywDLafT9JTt2GG++I8da76o79ljfkjg8KcmyCrTCO74EXYfhNuWQOJpsJIzPa9P2Eua26QLGe93BVrnfoHqPXN3jTI3pg+0ykWSeNLMD8ts6KDNZhYX3rw5d5cFqF8/4wAtw/Tu/t6ldwcTkP/+u+kJtayUXknMe1ZYWNap5UVEJP/lONB66KGH0pWl7d3as2fPtdVIpID9618myGrVynzx9ktJGTNgQN5PYfnlF2jb1nwBf/xxU7Z4MWzYoHkZeSU2Fnr3NvOlypUzwXXJkjB7thk6NnHiNV7AcpqseadWw+VjYPOHUnWg5v2UKmXWwspwWJp/mlVpk86ZpBFl/gKXj0JC9uPYvvvOBFkBAWa7bl1TfvvtMHQosHqJKWjwLASmGbdY0ssh4JYTjn0JhxfApT/NML3g6hDeA+o9mvVjS6bMN3P1zt04HIJrwC9Pm/ulUip7/GtoPC41osiJ8jfBsS+uKosk0bEeyHzBYoBbb722QKtNmzTp+VOEh1/bgsVgAmYwwfK8efDXv8KVK/DYY7BoUe7r65Ws/g2Ue15EroFlwdatJkFUdLT5DL7xRvNeHBiIGeZ+4hvz+edIMJ81lW6D0g2zO3WBy3GgtWmT5xomSUlJ7Nmzh3fffZdhw4b5rGIiBWX5cnPbu3dqkOWS1yNmJ040QVaPHjB9unnj6dgR7rwzb69bnL3zjgmy6tY1PT1ps85dyKTDxWuOK7Cyo1n/qupdULkT2Oxwfgec/J6mTSNYvz6ToWB+ARAaYXqdzm2HKh2hzVzY9ATsm5HtpV09Ko0apQZZHlxBTkjt1LKl9cC6bNKtN3kt6wusfxj+nAsVb4N6g80iwXEHIPaPbOtG+ZZmseKTyyHiORNEph0aWDqlp+7sJtj9pgnELh/N/rwe17jJ875fAJRr4Z6jldHQQdcaW7fdBlOn5uxyad1xR/qydu1gvyOLOVrZDB101cuVkOPRR80i1z/+aHq08pwrmHK9CSq4Eik6HAlwaA4cWQTxh00iosDyUD4SbpmVp5f+9VeTAGr7doiMhBYtICkJpkyB//s/6Fj5Ddj5mvmcqNbTrLd4cjlEr4S287O/QAHLcaAVmsEYl7Zt2xIYGEhUVBSff/65TyqWmblz5/L+++8TExPDDTfcwOjRo7npppsyPX7jxo28+eab/PHHH1SqVInHH3+cAQMG5GkdpWjI8ntEUiyc3Wx6FhxXTGa0kLpmLokXYuJj+Gy3mdjfM6In1UubLGmuL9ztMkjGJrmXnGx6C7dtM4khEhOhbFnzhr54sTnm/vs9gyxIn6Aix/a/b4Ksaj2g/f9ML5BrfpLNxh13wIwZsH497NxpFioG0/b27YMbwm41gdahj0ygdbUsIn+/l00Dds31SyewnLlNiEktC70BYpZDUvpF6T2c32GCrBJV4I7vTBBz6QiUbZLyBJxgy2L1kHItze3Jb+HsFs+U7gBVuqRubx+dspZYDr/Yl4v0vF/xNggolWF697RDBwE6dDBzoq5+7VxrnGWnVi0zzO/gwdSydu1g9/ksFiz2Yuhgly6mhzIpyfwgM336VQc4HWbI5YWdkHg+5QJhEHar+bctKJYTjnwORz+H+JNQ/m1YdQ/4OaHp62ZuoIgA5v/3uXNmtEVgoBkSnHZ5hzzx01/N/8/6f4PIKVCisvl+c9Z0ruzdCx9+aH7YSUoyPU5g5q4vW5b7yzocZrTQ77/DyJFm2oTH/nN74JuxJnFS952pn1tQaH7syXGglZny5ctzMO2nSh5YtmwZUVFR/P3vf6dly5bMnz+fwYMH89VXXxEenn6i9JEjRxgyZAj9+vXj7bff5tdff+W1116jfPnyGaaozxNOB+ydDMe/NEOBgmuAnz84k6FCK6j3eP7UIyvJl1MChkvm1/bAshBYIe+7b65Td94JM2eaL+Avv+zZq+V0WPhtHQZ//Btq9IFq95ovMonn4cTX7kArJj6Gl5a/RJIzidbVW/Nkq9R1jyzL4tGlj7Lh6AZKBpRk/s75/PDID9j97NSvb+YI7dyZv885vyQmwsmTJsFHcrJ5k65SBYKDr/3cf57/k/4L+5PoSKRl1ZbM7DETP5sfO3dCt25mOMLYsaaHMDTUDAs8dcrMbQGz3+fi9pvb0o3M/6fjy+CnAZAcDxVuoXPnnwkJMa/HXXfB+PEmuPvwQzNs4h9P3gUHPzR/fkFQpROc/TX1/Fn0Mty1Gt580/R2pA3iwHy42at2g+gVcOADqH6/2VH/bybQys7llMmKJaqAPci8hyxvB5dPmvldfc57Dke8WsV2EFQJEk7B8rZQvTec35a6PzgcKt0Bp1wTnXLxgVqyshlecimlJyy8O5Bxeve0yTDAfLHp1w/mp/mxNDgYOnXy/vIdO8L775vtsmVN8DZlUYLH9cD7ZBhghrb27w8ff5x+n/3KIfiyo8nW2OQ106Pn5296LuMOFmygtftNEyzX6AftFsHuA9DuU3AW/pWXv/wSvv7avG/Xrm2+GFuW+WJ89ZdGuU7EH4ZzW1O+91w2S0oEhUGVOyGgVLYPzysLFsA//wlHjph1FatVM5+TR47AiBFm3nBuORzw009mSPSJE+YHG9d3m153RRN59HMzrD1yqnnf2DYGrpgPxd9Pt6JVhzrExZk69umT+tiYmEwu6KVz50yQBZDR13J77C7AMkMEA8vBlRhYWhv3Z0LfWPDz8hewApLjQGvv3r3pyk6dOsV7771HxLW0Ai/Mnj2bPn360K9fPwDGjBnD2rVrmTdvHi+++GK64+fPn0/VqlUZM2YMAPXq1WPHjh3897//zXmglXjOfGAlXgZs5lfYwBDz4eWXxct48APY9hKE3w23fWHO8fv/mV+14zNIS5ULF65c4N0N73Il+QohASE8d+tzlAr04s3i+DLY+pLpjak3GPxDzeT0hNMQ1tqMf80r2QVx1/JLxeVo2PGq+VW3ShcoUQmwAU4IrmW+cF3cY74EO66YNND4geWAsk15/vnafPyxeUPq3BkefNCkd1+9Gm5ucpzHKrxrvvS2/tj822992XxJTLoI1XoQW6IG3T/pzqWkSwy7dRiDvxiMv58/QyKHADBt0zS+/P1L3unyDmVLlOXRpY8StTaKsbeN5aWXzNDFOXPMhPyuXc2v4ps2maCkZ8/Ul8fhMG/Cfn7mTfN6jovXroUXXzRfRoYPh7/8xbymcXFmHtG1Jvm4cOUCd39yN/5+/kzuMpluc7sRFhzGm53fZM4ck567eXN45ZX0r1NwsBk6+NFHZthCv37m17qtW81cvS5dMrqil2reD7/9E/78xMxbqtYD7v4d/mfmKFWoAK+/Di+8AMeOmbk2LjfeCNToC+XeMutO7Z9p/rx0221mvt+6deZL/wsvmC+Cu3ebnr3/zR9oUrtHL4dV3aDcP0yCDG9Uus0EMee3waG5UOuvcO8RWNbE/L/Ljj0IGr9q5mQ5LpvXx8W1jlaTcbByjWdijhJVoMKt3r4EZqjmwQ/ND0g1zOdGhj1aV83RAtNe0wZaTzyRsx7O7t1TA62+fc0X8IQMhg7mpEcL4LXXzHvEyZOpZdWqQdnYRRB/EGo/BA2egYu/m3/fs7+aDJJVr6UhX6MLu8xt2K0QmJJCdd1fIforqPMI3PpBgVXtWsyfb36NDw01723lyxd0jSRbGwfD/lnQaKxpewkx5seYS4dNr3w2mVzzyunT5kcUgG+/vcbPnQz072/mcfbpY35IdrXVpCS4FFceztY1Q7+jf4Cqd0L1XrBtNEQv52jgs8TFme8abdp4/vhcseJVF7KcpiMBzEiHtB+4lgXOJJPoyWYHvyAqVLDRubN5T3v3XWjZ0vwwBXD2LNgCO1IuoAyc2QDRq6Dy7XB/PCytA/GHfPsi5ZEcB1q9evXCZrNhXfVFuHnz5ky85lnjmUtMTGTXrl0MGTLEo7xt27ZsySTX7datW2nbtq1HWfv27Vm0aBFJSUkEBARk+LirOdc/inV4ATQcgaN6P+AyjuPL4cJm84GW0aKbLlXvhWrfQMxP8OtLUKYhhP4FNj9tvjQ0+nvWF8/qk/3CBX449ANPL3ua0oGleTzycaZvns68HfP4T/f/0KZmNgutJMZD0hUoUQP8K5h00qd+hsPzzDhYW0nTkENqmx6u5AvmGCsZSv8Fgq7hUyVtrmnXc0w7ISZlzM7lpMvuORUhgSHYU365iImP4aNtH/HNvm+4pfotbDi6gS71uvBIs0eo5IiBM7+YICq0sfkV5MQ3sP898yWu2RuwZbj5EtZ0IjgvwZmNJllBmd00+MsIfvjBfKFZsyYlQxsm0OnSpQqOxtPMl+cVnaByFwiqBpeXw8XfSLwSy4AvB3Dy4kl6RvTk0NlD3FP/HoZ/O5yKJStSv3x9Xln5Ch1rdeTExROcuHiCbvW68fbat+lcuzN33NGKpUvNL6H/+peDrl2hTRsHiYnml67HHjMZxzp2NHPIwsLMS3X2LNx0U2rvzPUmIcFkwStZ0qSqDw42206n+ct0eJsXkhxJPLjoQc5fOk+PiB5888c39I7ozdQNU7mh3A28/PL/4+xZ+OYbEzi3b5/ao2W3w7hx5gPo7bfhpZfMH5gPkzffzFkvRjrlWsEt88wX3mUtzTwkywH2UAhtBA4HzzxjPvQmTEjNalm/PvTqBQ7LBm2XwtYX4fhXZqe9FDR4Gip2TH3hQkLM7VUv5NKlph0vWmTOD+Zzb8AAcARWhA7fwdaXcZzdBuXAcXI1lG4Gle7M5h8lANp9CdtfgQ1/g1+Gmx77KyfM4y1b9v+odYeY47a/As4E82tq7QfhxrHmsRXaQusFsOH/mdes9F/g1g8hqHK2z9ut4Rg4vBgaDocS4eBwYMdOiH8IfpYfjpTHBdgCCPEPASfushYtTHA6YwY0aWJ6Qz0uk821e/Y0cy23bDE94w4HWE6LEP8QAmwB7usE2gIJ8Q/B4XC4y7I6f61aJknP3XebNly9uvnC799wMI74XXBsGax72GSTLNUQ/lwItiCTsz4r3k5IzO41z0jTtyA5CXb+A0fMVgh+zrQ/vxDwL39tbwAFqFMnk5BkxQoYNsy8t5QubX5AOn3aBOtScFz/nzz+X5VuDiVqwoV9cGar+XH5+DIzjLmJA0o1KJC6litn3mumTjVtqV8/k0DH6YQ//4RHHjHrH+ZW377wxx/mh7Y5c8z7iN1u3kPq1PGjXZvPTS/Wmj5QpokZqnfhdwisQocOSUyf7mDmTGjd2vwAHBZmRmLs3Qtfz15pOhSCKkL9J8wP0Rf3wOl15kd7mx3++A9UvsP84JV00fxId3471BvM3Ll3MXGi6S2rV8/ULTnZ/Pj45ZdluLn9l7D972a4ccnwlM+aMxDaJOWNNYsnnhwPCefMtn9JzI/uNsAynQx+WcQBSbFwao35MbBsU/P9MSHafLf0C8Be2bs5Hjbr6ogpG8eOHfO47+fnR/ny5QnK4wGk0dHR3HbbbcybN4+WLVu6y6dPn87ixYv59ttv0z2ma9eu9O7dmyeeeMJd9uuvvzJgwADWrFlDJS9z4a5bt44SJUpc+5MQEREREZFCLTIyMvuDyEWPVrVq1XJcGV+6eqFky7KyXDw5o+MzKs9K69at3Y9zOBzs2LGDJk2aYPd2ZnQBS3Ym88eZP3BaTsKCw6hcysv0zdk4dP4QnT/qTHBAMFGdonhp+UskOBJY/vByapXJw8WHionctLVv933LgEUDaFezHf0b9efF716kbrm6fPvgt7z371Bee82M8167NiVlqg8duXiE3vN7UyqwFM/c/AxPfvUkDzd7mH/c+Q/8skqMABC92vQ6lqhkei6ciebPcphhaiWr+Lay4iGrtpaQnECiIxG7n53ggJxNpvvp8E+sObyG4IBgqpSqwn033ufulZbry7NfP8uH2z5karepVCttPudHfD+CU3GnOPDcAY85bVdbtMhkQSxb1vxi7ur0ykhWbW179HbOXj6Ln82PVuGtKBlQ0sz7+yoCAsrC3XvNr9L734eLu80vzk3fgBIpXfkZjY7Y9SbsiTK9pc0nQfwB+PNT+P1dqHE/3JImD39Gj78WZzbBqu4QVMGMnijbxMwN2jQYqt8Ht87O/NpJF+G71nDlJLT9zPQGRK+EXePNOVrNgs1/g1L1zLy3gLJm4e/NQ01Wtr+8BFtHQtXucNO/zWt1/AszV65aT7jhKYhZY0Z8hNRNHeLldEDF1uw9f4TOH3UmLDiMUe1G8cbaNzh76SzLH15ORFhE5vUG04OwooMZjlejH1RsDXGH4fd/QtXurKj6OPctuI+qpaq6pzkcvnCYRhUb8cP/+4FFuxfx6NJHqVqqKs2qNGNH9A6OxR5j+t3TGdBkAE88YZY3qFnTLINSo4bpmfn5ZzM0/fPPzf02bRzUr7+Ds2eb4HTaKV/eDE3LzOXLZi7lb7+ZXqURI1Lb8rlz5jMz0e8cjy59lFNxpxjQZABRa6J4s/ObPNTsqqWPfN2WJGPHvzEJk0pUNSPMLIfpKUu6aIaB1nnY+3Pl0b9ZrpJhrF+/ng8++ID9+/djs9moW7cujzzyCG3aZDNU7RqUK1cOu93O6asWnDlz5gxhmYyXCgsLI+aqmXpnz57F39+fsq5BoF7wuzrHN2C32wtNoGW322lcpXH2B+ZQvQr1WPTAIjp80IGXV77M8fjjrP5/q6lbPqNc0pJbOWlr3SO680bnN3j2m2eJuRxDUEAQix5YRNngsgwfboZDbdhg5ipVqQL+/mZoQtWqZjjZtahdrjbfP/I9E3+cyOrDqxnfabxHEpAshXc0f1KgMmprwfZggsldtpL2ddrTvk57X1RN8tg9Efcw7ZdpDPpikEf5X5v8lRKBWY/o6NvXDAVetcoMl6tTx8wbtSxT/swz6R+TUVtrEd4i/YGlqkHHb+Do/2DbixBSywwzDa4C/jdASJofDuPjXSdPc4IrJumGzQn+AVCyEtTsBTXuMUOQ0h6b4eOvwR//Asc5+MsEqHO/mc+46+8pSUASs752wmW48ifYAiCshXmzti5Dw2fNfps/OC6C3Q9KVjSBUnBFuG0hYDMJuJzxEFrblMdehJBwaD3bzK8Maw2VPadWpNWociM+6P0Bd39yNx9s/4C9Z/aybOAy/lL5L54HZvSaHfgPxO2Guo/CLe9D3CGTNjzleXe5oQvNqzZn68mtbB64mfd/fZ9J6ycx6rZR2O127m9yP3N3zWX1odWMu2McHT7oQPva7Xmw+YP8+CPMmmWe7jffmGDLxTV4yZX4x+FwLZHi3WeoK/FEfLyZz1q6dOq+sDDXIuFhLBmwhOUHlpPkSOKHQT9wY8WUeV0Z/YDvn+ZrdiHJkleo1Ljb/DmuQMJZM8yvfGOwh5gfOHLyw15cNtl2cynHgdbHH39MVFQUXbt25eGHTaS4bds2hgwZwssvv8yDDz7o80oCBAYG0qhRI9atW8edaRYV+umnn+iUySSK5s2b84NrMZkUa9eupXHjxl7Pz5KstazakoPPHSQuMY5SgaUIC75OJwkVI0/d/BS3VL+FhOQEapWt5U4db7OZOUqdO+fdtcOCw/jnXf/MuwuISJ7oVLcToYGhVAiuwMx7ZrJg1wJmbZlFr4he2T7Wz8/MR+vRI48qV7Fd1nOhs9LkNSjX3PSYr+tnvoDZUpIfNczjSVRlUoKS0z/DDU9CrQEmQQ5k/6U7OBw6fG163r5rDaUbmMDQcdnctvkEOiyDP+fDqq4mHbdfgEk2UKmD6UELCIWjS83jS1Y153Vchhue9qr6Xet3Zc2gNUTHRzP+jvHcWt3LRDQX95jbcimB84UdZo5ppTvMXBfgtdtfo/OczizcvZCPd3xM6+qt6XZDN/cppnWfRqNpjWjzfhssLGbcY9YOPHDA7A8JMT1ZvlS2rMnMN326SRgxd64ps9vNwuDvvGPmSfnZ/OhSL4NsFQqkCo69hPk/cz2ycqhdu3bWnDlz0pV//PHHVtu2bXN6uhz56quvrEaNGlmfffaZtW/fPmvixIlW8+bNraNHj1qWZVmTJk2yRowY4T7+8OHDVrNmzaw33njD2rdvn/XZZ59ZjRo1sr755ptc1yE5OdnavHmzlZycfM3PRyQramuSX9TWxLIsq/9n/S2/1/ysU3GnrLs+vssqMaGEFZsQ69Nr5ElbM19xM/7LzXl8JfmyZW0calkLSlnWFzdY1pq+lvVjb8v6IsKyDn6cs3o7nZaVfCX3dXEkmXP4Wkb1/f0/lvUJlrXyTstyOjz3JSe4NzvM7mD5veZnMQ7ru33fpTv13pi91o+HfrT2xOxxl50+bVlly5pLRkVZVtpmtHfvVZfS+5pcB3LcoxUXF0f79umHgrRt25ZJkyb5JPjLTPfu3Tl37hzTpk3j1KlTNGjQgJkzZ7rnjcXExHDClbYLqFGjBjNnziQqKoq5c+dSqVIlxowZk39raImIiBQSvRr24tNdn7JozyJWHVpFpzqdvFsqpKBdS09CRsO9MliXLlfsJaDVNGgx2cwNu3LKZGQLqW1+fbcG5qye9mtIOpbVMjS5cfXrlvZ+coKZD3Z8GXx1o+mNtJxwdrPJmFr/bwDM6jmLjcc2EmQP4s56d3K1iLAIz/lgmCUxvv4ann0WRo822WKrVzdZHhMTr31dJxFfy3HWwRdffJEbb7yRxx/3XGj3/fffZ9euXbzzzjs+reD1xuFwsHXrVpo3b15o5mhJ4aS2JvlFbU0ALiZcpOLbFSlXohzR8dHM6jGLx1o+lv0Dc0BtrRg5s9ksin7lJNhLmkVnw++5tqVh0p7+DGzfbob1Vaxo5malTRCttibXA69+4vjoo4/c2/Xq1WP69Ols3LiR5s2bA2aO1q+//sqgQYMyOYOIiIhcz0oHlaZjnY58s+8b/Gx+9IzoWdBVksKswk3mL69OXwHuuCPPTi/iE14FWh988IHH/dKlS7Nv3z727dvnLgsNDWXRokU8+aSXWcZERETkujK63WhuDr+ZiiEVqRhSsaCrIyJSqHkVaK1cuTKv6yEiIiIFrH2t9rSvpZT8IiK+kM0qoiIiIiIiIpJTXvVoRUVF8dxzzxEcHExUVFSWx44aNconFROR69fatWv55JNPuHz5ckFXRXwkMTGRwMDAgq6GFAOFta2VLFmSgQMH0rZt5gv9ioik5VWgtXv3bpKTk93bmbFllCZVRIqcxYsXc/To0YKuhohIvlq8eLECLRHxmleB1pw5czLcFpHi6b777mPu3Lnq0SpCCmsvgxQ+hbWtlSxZkt69exd0NUSkEMnRCnbJyck0bdqUJUuW0KBBg7yqk4hc59q2beuzX3VPnTrFq6++ypQpUwgICPDJOXNi6tSpNGjQgC5duuT7ta8XWm9G8ovamogUJzkKtPz9/QkPD8fpdOZVfUSkEElOTmbWrFn8+OOPAHTo0IHHH388R1+g5s6dyz333OMOstauXcvSpUs5cOAA1apV4913383y8ZcuXWLGjBn8+uuvJCcn06BBA/72t78RHh4OwGeffcZ3333HxYsXCQoKomXLljz++OOUKlUKgH79+vHSSy9xxx13FEigJyIiIkVTjrMODh06lMmTJ3P+/Pk8qI6IFCYLFixgz549TJ06lalTp7J7924+++wzrx9/8eJFfv75Zzp06OAuK1WqFD179uT+++/36hxz587l2LFj/Pvf/+ajjz6icuXKvPPOO+79bdu25V//+heffvop06dPJzk5mdmzZ7v3V65cmfDwcNatW+d1vUVERESyk6MeLTBztP7880/at29PeHg4wcHBHvsXL17ss8qJyPVt+fLlPPbYY5QvXx4wvUOzZ8/mgQce8OrxW7ZsoXr16oSGhrrLmjdvDsCKFSu8Okd0dDQ333wzpUuXBuD2229n1apV7v2uni0Xm83G8ePHPcqaNm3Kxo0buf322726poiIiEh2chxoderUSdkFRYS4uDhOnz5NnTp13GV169YlJiaG+Ph4QkJCWLhwIbt37+bVV1/N8BwHDhygevXq11SPu+++mwULFnDnnXcSHBzMypUruemmmzyOWb16NdOmTePy5csEBQUxcuRIj/01a9Zk9erV11QPERERkbRyHGg988wzeVEPESlkXBkHXXOdAEJCQtz7QkJC6Nu3b5bniI+Pp2TJktdUj9q1axMcHMwjjzyCn58f4eHhjB8/3uOYDh060KFDB2JiYvj++++pXLmyx/6SJUsSFxd3TfUQERERSSvHc7Q6derEuXPn0pVfvHiRTp06+aRSInL9cwVI8fHx7jLXtrfBU0hIyDWniP/HP/5BcHAwn3zyCZ999hl33XUXo0ePJiEhId2xFStWpFWrVkyYMMGj/PLlyx4Bo4iIiMi1ynGgdezYsQyzDiYmJhIdHe2TSonI9a9UqVKEhYVx8OBBd9nBgwcJCwtz92xlp27dute88PGBAwfo1q0bpUqVIiAggB49ehATE8Phw4czPD45OZlTp065F2EHOHz4sMcQSBEREZFr5fXQwbQT09esWeMxed3pdLJ+/XqqVavm29qJyHWtU6dOLFiwgBtvvBEwqdRzsh5VixYtmDZtGnFxce4eJYfDgcPhIDk5GcuySExMxGazZZp6PSIigm+//ZbatWsTFBTEN998Q2BgIFWrVgXg66+/pnXr1pQtW5aTJ0/y4Ycf0rRpU/z9U9/+duzYQefOnXP7MoiIiIik43Wg9dRTT7m3X375Zc+T+PtTrVq1dOUiUrT179+f2NhYnnzyScDMherXr597/4IFC9i9ezfjxo3L8PGlS5fm1ltvZdWqVdxzzz0ArFq1ymPtrL59+1KpUiVmzZqV4Tmfe+45Zs2axZAhQ3A4HFSrVo3Ro0e7A7dt27bxySefcOXKFUJDQ4mMjOTBBx90n//UqVMcPXrUZwswi4iIiADYLMuycvKAjh07snDhQnc65+JGq9pLfikubS06Opq///3vTJkypUAWDJ46dSo33HADXbt2zfdrXy+KS1uTgqe2JvlFbU2uBznOOvjss89mOGk8MTGRZcuW0atXL1/US0SKicqVKzN9+vQCu/7TTz9dYNcWERGRoivHyTBGjRpFbGxsuvL4+HhGjRrlk0qJiIiIiIgUZjkOtCzLynDB4ujoaI8EGSIiIiIiIsWV10MHe/Xqhc1mw2az8cgjj3hk7HI4HBw9epT27dvnSSVFREREREQKE68DLVfq4z179tCuXTuPdXICAgKoVq0aNWvW9H0NRUREREREChmvAy3XhPFq1arRvXt3goKCAIiNjWXp0qW8//777N27lz179uRNTUVERERERAqJHGcd7N27NwDr169n0aJFfP/994SHh9OlSxcmTpzo8wqKiIiIiIgUNjkKtE6ePMnnn3/OokWLuHz5Mt26dSM5OZkpU6ZQv379vKqjiIiIiIhIoeJ1oDV48GB++eUXbr/9dl555RXat2+P3W5n/vz5eVk/ERERERGRQsfrQGvdunU89NBDDBgwgNq1a+dhlURERERERAo3r9fRmjt3LvHx8fTp04d+/frx8ccfc/bs2bysm4iIiIiISKHkdaDVokULJkyYwNq1a+nfvz9fffUVt912G06nk3Xr1hEXF5eX9RQRERERESk0vA60XEqWLEnfvn2ZN28eS5cuZdCgQbz33nu0adOGJ554Ii/qCMCFCxcYMWIEkZGRREZGMmLECC5evJjlY7777jsee+wxbrnlFiIiIpR6XkRERERE8kWOA6206taty8iRI1m9ejXvvPOOr+qUoRdffJG9e/cya9YsZs2axd69exk5cmSWj7l06RItWrRg+PDheVo3ERERERGRtHK8jlZG7HY7nTt3pnPnzr44XTr79+9nzZo1LFiwgGbNmgHw+uuv079/fw4cOEDdunUzfFyvXr0AOHr0aJ7US0REREREJCM+CbTy2pYtWwgNDXUHWQDNmzcnNDSULVu2ZBpo+YrT6cSyLAAcDofHrUheUVuT/KK2JvlFbU3yi9qa5CW73e7VcYUi0Dp9+jQVKlRIV16hQgVOnz6d59ffuXMnSUlJHmU7duzI8+uKgNqa5B+1NckvamuSX9TWJC9ERkZ6dVyBBlpTpkxh6tSpWR6zcOHCTPdZloXNZvN1tdJp3LixR4/Wjh07aNKkidfRrEhuqK1JflFbk/yitib5RW1NrgcFGmgNHDiQ7t27Z3lM9erV+e233zhz5ky6fWfPns2wp8vX/PzS5wyx2+36jyv5Qm1N8ovamuQXtTXJL2prUpAKNNAqX7485cuXz/a4Fi1aEBsby/bt22natCkA27ZtIzY2lhYtWuR1NUVERERERHLkmtK755d69erRvn17xo4dy9atW9m6dStjx47ljjvu8EiEcdddd/H999+7758/f549e/awf/9+AA4ePMiePXuIiYnJ9+cgIiIiIiLFR6EItAAmTZpEgwYNePTRR3n00UeJiIjgrbfe8jjm4MGDxMbGuu+vXLmSXr16MWTIEACGDRtGr169mD9/fr7WXUREREREipdCkXUQoGzZskyaNCnLY3777TeP+/fddx/33XdfXlZLREREREQknULToyUiIiIiIlJYKNASERERERHxMQVaIiIiIiIiPqZAS0RERERExMcUaImIiIiIiPiYAi0REREREREfU6AlIiIiIiLiYwq0REREREREfEyBloiIiIiIiI8p0BIREREREfExBVoiIiIiIiI+pkBLRERERETExxRoiYiIiIiI+JgCLRERERERER9ToCUiIiIiIuJjCrRERERERER8TIGWiIiIiIiIjynQEhERERER8TEFWiIiIiIiIj6mQEtERERERMTHFGiJiIiIiIj4mAItERERERERH1OgJSIiIiIi4mMKtERERERERHxMgZaIiIiIiIiPKdASERERERHxMQVaIiIiIiIiPqZAS0RERERExMcUaImIiIiIiPiYAi0REREREREfKzSB1oULFxgxYgSRkZFERkYyYsQILl68mOnxSUlJvP322/To0YPmzZvTrl07Ro4cSXR0dD7WWkREREREiqNCE2i9+OKL7N27l1mzZjFr1iz27t3LyJEjMz3+ypUr7N69m6FDh/L5558zdepUDh06xNChQ/Ox1iIiIiIiUhz5F3QFvLF//37WrFnDggULaNasGQCvv/46/fv358CBA9StWzfdY0JDQ5k9e7ZH2dixY+nXrx/Hjx8nPDw8X+ouIiIiIiLFT6EItLZs2UJoaKg7yAJo3rw5oaGhbNmyJcNAKyNxcXHYbDZKly6do+s7nU4sywLA4XB43IrkFbU1yS9qa5Jf1NYkv6itSV6y2+1eHVcoAq3Tp09ToUKFdOUVKlTg9OnTXp0jISGBSZMmcc8991CqVKkcXX/nzp0kJSV5lO3YsSNH5xDJLbU1yS9qa5Jf1NYkv6itSV6IjIz06rgCDbSmTJnC1KlTszxm4cKFme6zLAubzZbtdZKSkhg2bBiWZTFu3LicVpPGjRt79Gjt2LGDJk2aeB3NiuSG2prkF7U1yS9qa5Jf1NbkelCggdbAgQPp3r17lsdUr16d3377jTNnzqTbd/bs2Qx7utJKSkri+eef5+jRo3z44Yc57s0C8PNLnzPEbrfrP67kC7U1yS9qa5Jf1NYkv6itSUEq0ECrfPnylC9fPtvjWrRoQWxsLNu3b6dp06YAbNu2jdjYWFq0aJHp41xB1p9//slHH31EuXLlfFZ3ERERERGRzBSK9O716tWjffv2jB07lq1bt7J161bGjh3LHXfc4ZEI46677uL7778HIDk5mWeffZadO3cyadIkHA4HMTExxMTEkJiYWFBPRUREREREioFCkQwDYNKkSUyYMIFHH30UgI4dO/Lqq696HHPw4EFiY2MBOHnyJCtXrgTg3nvv9Tjuo48+4pZbbsmHWouIiIiISHFUaAKtsmXLMmnSpCyP+e2339zbrrldIiIiIiIi+a1QDB0UEREREREpTBRoiYiIiIiI+JgCLRERERERER9ToCUiIiIiIuJjCrRERERERER8TIGWiIiIiIiIjynQEhERERER8TEFWiIiIiIiIj6mQEtERERERMTHFGiJiIiIiIj4mAItERERERERH1OgJSIiIiIi4mMKtERERERERHxMgZaIiIiIiIiPKdASERERERHxMQVaIiIiIiIiPqZAS0RERERExMcUaImIiIiIiPiYAi0REREREREfU6AlIiIiIiLiYwq0REREREREfEyBloiIiIiIiI8p0BIREREREfExBVoiIiIiIiI+pkBLRERERETExxRoiYiIiIiI+JgCLRERERERER+zWZZlFXQlREREREREihL1aImIiIiIiPiYAi0REREREREfU6AlIiIiIiLiYwq0REREREREfEyBloiIiIiIiI8p0BIREREREfExBVoiIiIiIiI+pkBLRERERETExxRoiYiIiIiI+JgCLRERERERER9ToJUDc+fOpWPHjjRp0oT77ruPzZs3F3SVpJCbMWMGffr0oUWLFrRu3Zonn3ySAwcOeBxjWRZTpkyhXbt2NG3alIceeog//vijgGosRcWMGTOIiIhg4sSJ7jK1NfGV6Ohohg8fzi233EKzZs2499572blzp3u/2pr4QnJyMv/85z/p2LEjTZs2pVOnTkydOhWn0+k+Rm1NCpICLS8tW7aMqKgohg4dypIlS4iMjGTw4MEcP368oKsmhdjGjRsZOHAgCxYsYPbs2TgcDh577DEuXbrkPua9995j9uzZvPrqqyxcuJCwsDAGDRpEXFxcAdZcCrPt27fz6aefEhER4VGutia+cOHCBQYMGEBAQADvvfceX331FS+//DKlS5d2H6O2Jr7w3nvvMX/+fF599VWWLVvGiBEjeP/995kzZ47HMWprUmAs8Urfvn2tV1991aPsrrvusiZNmlRANZKi6MyZM1aDBg2sjRs3WpZlWU6n02rbtq01Y8YM9zEJCQlWZGSkNW/evIKqphRicXFxVpcuXax169ZZDz74oDVhwgTLstTWxHfefvtta8CAAZnuV1sTXxkyZIg1atQoj7Knn37aGj58uGVZamtS8NSj5YXExER27dpFu3btPMrbtm3Lli1bCqhWUhTFxsYCUKZMGQCOHj1KTEyMR9sLDAykVatWanuSK+PHj6dDhw60adPGo1xtTXxl5cqVNG7cmGeffZbWrVvTq1cvFixY4N6vtia+EhkZyc8//8zBgwcB2Lt3L7/88gsdOnQA1Nak4PkXdAUKg3PnzuFwOKhQoYJHeVhYGDExMQVUKylqLMsiKiqKyMhIGjRoAOBuXxm1PQ1blZz66quv2L17NwsXLky3T21NfOXIkSPMmzePQYMG8cQTT7B9+3YmTJhAYGAgvXr1UlsTnxk8eDCxsbF069YNu92Ow+Fg2LBh3HPPPYDe16TgKdDKAZvN5nHfsqx0ZSK5NX78eH7//Xc++eSTdPsyansiOXHixAkmTpzIf//7X4KCgjI9Tm1NrpVlWTRu3JgXXngBgL/85S/s27ePefPm0atXL/dxamtyrZYtW8bSpUuZPHky9evXZ8+ePURFRVGpUiV69+7tPk5tTQqKAi0vlCtXDrvdzunTpz3Kz5w5Q1hYWAHVSoqS119/nZUrV/Lxxx9TpUoVd3nFihUBOH36NJUqVXKXq+1JTu3atYszZ85w3333ucscDgebNm1i7ty5fPPNN4Damly7ihUrUq9ePY+yunXr8u2337r3g9qaXLu33nqLIUOGcPfddwMQERHB8ePHmTFjBr1791ZbkwKnOVpeCAwMpFGjRqxbt86j/KeffqJFixYFVCspCizLYvz48Xz33Xd8+OGH1KhRw2N/9erVqVixokfbS0xMZNOmTWp7kiO33norX3zxBUuWLHH/NW7cmB49erBkyRJq1KihtiY+0bJlS/ecGZdDhw5RrVo1QO9r4jtXrlxJ11tlt9vdPVZqa1LQ1KPlpUGDBjFy5EgaN25MixYt+PTTTzlx4gQPPPBAQVdNCrHXXnuNL7/8kmnTphESEuIeTx4aGkqJEiWw2Ww8/PDDzJgxg9q1a1OrVi1mzJhBiRIl3GPQRbxRqlQp99w/l+DgYMqWLesuV1sTX3jkkUcYMGAA06dPp1u3bmzfvp0FCxYwfvx4AL2vic/ccccdTJ8+nfDwcPfQwdmzZ9OnTx9AbU0Kns3SQFWvzZ07l/fff59Tp07RoEEDRo0aRatWrQq6WlKIXb2OkUtUVJR7iJdlWUydOpVPP/2UCxcu0KxZM1599dV0X5pFcuqhhx6iYcOGjBkzBlBbE9/54YcfeOeddzh06BDVq1dn0KBB3H///e79amviC3Fxcbz77rssX76cM2fOUKlSJe6++26eeuopAgMDAbU1KVgKtERERERERHxMc7RERERERER8TIGWiIiIiIiIjynQEhERERER8TEFWiIiIiIiIj6mQEtERERERMTHFGiJiIiIiIj4mAItERERERERH1OgJSIiglnAeeLEiQVdjQxt2LCBiIgILl68mOVxHTt25IMPPsifSomISJa0YLGIiFyzmJgYZsyYwerVqzl58iShoaHUqlWLnj170qtXL0qWLFnQVczW+fPn8ff3p1SpUrl6/EMPPcTGjRsBCAgIoFq1avTu3ZvBgwdjt9uvqW6JiYlcuHCBsLAwbDYbn3/+OW+88QabN2/2OO7s2bOULFmyULzeIiJFnX9BV0BERAq3I0eOMGDAAEJDQxk2bBgREREkJydz6NAhFi1aRKVKlejUqVNBVzNbZcuWveZz3H///Tz77LMkJCSwatUqJkyYgJ+fH0OGDLmm8wYGBlKxYsVsjytfvvw1XUdERHxHQwdFROSajBs3DrvdzqJFi+jevTv16tUjIiKCrl27MnPmTDp27Og+NjY2lldeeYXWrVvTsmVLHn74Yfbu3eveP2XKFO69916WLFlCx44diYyMZNiwYcTFxbmPSUxMZMKECbRu3ZomTZowYMAAtm/f7t7vGma3Zs0aevXqRdOmTXn44Yc5c+YMq1evplu3brRs2ZIXXniBy5cvux939dDBxMRE3nrrLTp06EDjxo3p0qULn332WZavRYkSJahYsSLVq1fnwQcfpHXr1qxYsQKACxcuMHLkSFq1akWzZs14/PHHOXTokPuxx44d44knnqBVq1Y0b96cu+++m9WrV3s8p4sXL7JhwwZGjRpFbGwsERERREREMGXKFCD90MHjx48zdOhQWrRoQcuWLXnuuec4ffp0jl5vERHJHQVaIiKSa+fOnWPdunUMHDiQ4ODgDI+x2WwAWJbFkCFDiImJYebMmXz++ec0atSIRx55hPPnz7uPP3z4MCtWrGD69OnMmDGDTZs28d5777n3v/XWW3z77be8+eabLF68mFq1avH44497nANg6tSpvPLKK8yfP5+TJ0/y/PPP89FHHzF58mRmzpzJunXrmDNnTqbPbeTIkSxbtoyxY8fy9ddf89prrxESEpKj1ycoKIikpCQAXn75ZXbu3Ml//vMfPv30U/fr4do/fvx4EhMT+fjjj/niiy8YPnx4hq9pixYtGD16NKVKlWLt2rWsXbuWRx99NN1xlmXx1FNPceHCBebMmcPs2bM5cuQIw4YN8zguu9dbRERyR0MHRUQk1w4fPoxlWdSpU8ej/JZbbiExMRGAv/71r4wYMYKff/6Z33//nfXr1xMYGAjASy+9xPLly/n222/p378/YAKEqKgo91ypnj17sn79eoYNG8alS5eYP38+UVFRdOjQAYDXX3+ddevWsXDhQh5//HF3HZ5//nkiIyMB6Nu3L5MnT2b58uXUqFEDgK5du7Jhw4YMh/UdPHiQr7/+mtmzZ9OmTRsA9+O84XQ63UHQI488wqFDh1i5ciXz5s2jZcuWAEyaNInbb7+d5cuX061bN44fP07Xrl2JiIjI8nqBgYGEhoZis9myHE74008/8dtvv7FixQqqVq0KmCD17rvvZvv27TRt2hTI+vUWEZHcU6AlIiLXzNVr5bJw4UKcTifDhw93B1y7du3i0qVL3HLLLR7HXrlyhcOHD7vvV6tWzSMhRaVKlThz5gxgArukpCR3sAIm8UTTpk3Zv3+/x3ldAQtAhQoVKFmypEfwEhYWxo4dOzJ8Pnv27MFut9OqVSuvnr/LvHnzWLhwobuXqmfPnjz99NP89NNP+Pv706xZM/ex5cqVo06dOu56P/zww4wbN461a9fSpk0bunTpQsOGDXN0/bT2799PlSpV3EEWQP369SldujQHDhxwB1pZvd4iIpJ7CrRERCTXatasic1m48CBAx7lroCmRIkS7jKn00nFihUzHK4XGhrq3vb3T//RdHWC3KsDO8uy0pWlPY/NZkt3XpvNhtPpzPB5pa13TvTo0YMnnniCwMBAKlWq5M42mFmC37T17tevH+3atWPVqlWsW7eOmTNn8tJLL/HQQw/lqi4ZvSYZ1cWb11tERHJOc7RERCTXypUrR9u2bfn444+5dOlSlsc2atSI06dPY7fbqVWrlseft9nyatasSUBAAL/88ou7LCkpiZ07d1KvXr1rei5pNWjQAKfTyaZNm3L0uFKlSlGrVi2qVq3qkdK9fv36JCcns23bNnfZuXPnOHTokEe9q1atyoABA5g6dSqDBg1iwYIFGV4nICAAh8ORZV3q16/PiRMnOHHihLts3759xMbG+vS1EhGRjCnQEhGRa/L3v/8dh8NBnz59WLZsGfv37+fAgQP873//48CBA+6Ao02bNjRv3pynnnqKNWvWcPToUX799Vf++c9/ZjqE72rBwcEMGDCAt956ix9//JF9+/bxyiuvcOXKFfr27euz51S9enV69+7N6NGjWb58OUeOHGHDhg0sW7YsV+erXbs2nTp14pVXXmHz5s3s3buXESNGULlyZXfq+4kTJ7JmzRqOHDnCrl27+PnnnzMNiKpVq8alS5dYv349Z8+e9cie6NKmTRsiIiIYPnw4u3btYvv27YwcOZKbb76ZJk2a5Op5iIiI9zR0UERErknNmjVZvHgxM2bMYPLkyURHRxMQEED9+vV59NFH+etf/wqYoXozZ87kX//6F6NHj+bcuXOEhYVx0003ERYW5vX1hg8fjmVZjBw5kvj4eBo3bsysWbMoU6aMT5/XuHHjeOeddxg3bhznz58nPDycv/3tb7k+X1RUFBMnTuSJJ54gKSmJm266iZkzZxIQEACYoZXjx4/n5MmTlCpVivbt2zNq1KgMz9WyZUseeOABnn/+ec6fP8/TTz/NM88843GMzWbj3//+N6+//joPPvggNpuN9u3b88orr+T6OYiIiPdslgZii4iIiIiI+JSGDoqIiIiIiPiYAi0REREREREfU6AlIiIiIiLiYwq0REREREREfEyBloiIiIiIiI8p0BIREREREfExBVoiIiIiIiI+pkBLRERERETExxRoiYiIiIiI+JgCLRERERERER9ToCUiIiIiIuJjCrRERERERER87P8DBj4lmXmlRUgAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 1000x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 3))\n",
    "ax = plt.subplot(111)\n",
    "plot_logo(X_attr[0], ax=ax, start=950, end=1050, annotations=pos_seqlets[pos_seqlets['example_idx'] == 0], n_tracks=1)\n",
    "\n",
    "plt.xlabel(\"Genomic Position\")\n",
    "plt.ylabel(\"Attribution\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5a7f91a1-6191-4094-b534-4a0cecaebf7a",
   "metadata": {},
   "source": [
    "Here, all of the called seqlets are from `example_idx=0` but the above code is what you would use if you did have multiple seqlets."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}