SU1-2022-LAB0.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Sveučilište u Zagrebu  \n",
    "Fakultet elektrotehnike i računarstva  \n",
    "  \n",
    "## Strojno učenje 1 2021/2022  \n",
    "http://www.fer.unizg.hr/predmet/struce1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "------------------------------\n",
    "\n",
    "### Laboratorijska vježba 0: Uvod u Python\n",
    "\n",
    "*Verzija: 1.1  \n",
    "Zadnji put ažurirano: 4. 10. 2021.*\n",
    "\n",
    "(c) 2015-2022 Jan Šnajder, Domagoj Alagić \n",
    "\n",
    "Rok za predaju: **N/A**\n",
    "\n",
    "------------------------------"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 1. Python"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 1.1. Liste"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[5, 6, 2, 3]"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xs = [5, 6, 2, 3]\n",
    "xs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xs[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xs[-1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[5, 6, 10, 3]"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xs[2] = 10\n",
    "xs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['a book', 6, 10, 3]"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xs[0] = \"a book\"\n",
    "xs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['a book', [3, 4], 10, 3]"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xs[1] = [3, 4]\n",
    "xs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['a book', [3, 4], 10, 3, 99, 100]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xs += [99, 100]\n",
    "xs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['a book', [3, 4], 10, 3, 99, 100, 22, 33]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xs.extend([22, 33])\n",
    "xs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "33"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xs[-1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "33"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xs.pop()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['a book', [3, 4], 10, 3, 99, 100, 22]"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(xs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['a book', [3, 4]]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xs[0:2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[10, 3, 99, 100, 22]"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xs[2:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['a book', [3, 4], 10]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xs[:3]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['a book', [3, 4], 10, 3, 99]"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xs[:-2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "a book\n",
      "[3, 4]\n",
      "10\n",
      "3\n",
      "99\n",
      "100\n",
      "22\n"
     ]
    }
   ],
   "source": [
    "for el in xs:\n",
    "    print(el)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 a book\n",
      "1 [3, 4]\n",
      "2 10\n",
      "3 3\n",
      "4 99\n",
      "5 100\n",
      "6 22\n"
     ]
    }
   ],
   "source": [
    "for idx, el in enumerate(xs):\n",
    "    print(idx, el)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0\n",
      "1\n",
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n"
     ]
    }
   ],
   "source": [
    "for idx in range(len(xs)):\n",
    "    print(idx)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2\n",
      "3\n",
      "4\n",
      "5\n",
      "6\n"
     ]
    }
   ],
   "source": [
    "for idx in range(2, len(xs)):\n",
    "    print(idx)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0\n",
      "2\n",
      "4\n",
      "6\n"
     ]
    }
   ],
   "source": [
    "for idx in range(0, len(xs), 2):\n",
    "    print(idx)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0, 1, 4, 9, 16, 25, 36, 49, 64, 81]"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xs = []\n",
    "for x in range(10):\n",
    "    xs.append(x ** 2)\n",
    "xs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0, 1, 4, 9, 16, 25, 36, 49, 64, 81]"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[x ** 2 for x in range(10)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0, 4, 16, 36, 64]"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[x ** 2 for x in range(10) if x % 2 == 0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0, 512, 4, 512, 16, 512, 36, 512, 64, 512]"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "[x ** 2 if x % 2 == 0 else 512 for x in range(10)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 4\n",
      "2 5\n",
      "3 6\n"
     ]
    }
   ],
   "source": [
    "for a, b in zip([1, 2, 3], [4, 5, 6]):\n",
    "    print(a, b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 4\n",
      "2 5\n",
      "3 6\n"
     ]
    }
   ],
   "source": [
    "for a, b in zip([1, 2, 3], [4, 5, 6, 7]):\n",
    "    print(a, b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(1, 2, 5)\n",
      "(4, 3, 6)\n"
     ]
    }
   ],
   "source": [
    "a_list, b_list = zip(*[(1, 4), (2, 3), (5, 6)])\n",
    "print(a_list)\n",
    "print(b_list)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 1.2. Stringovi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'Miyazaki'"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cool_name = \"Miyazaki\"\n",
    "cool_name"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'Miyazaki is great'"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cool_name + \" is \" + \"great\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [],
   "source": [
    "num_people = 200000"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "ename": "TypeError",
     "evalue": "can only concatenate str (not \"int\") to str",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mTypeError\u001b[0m                                 Traceback (most recent call last)",
      "Cell \u001b[0;32mIn [32], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m \u001b[43mcool_name\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m+\u001b[39;49m\u001b[43m \u001b[49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[38;5;124;43m has \u001b[39;49m\u001b[38;5;124;43m\"\u001b[39;49m\u001b[43m \u001b[49m\u001b[38;5;241;43m+\u001b[39;49m\u001b[43m \u001b[49m\u001b[43mnum_people\u001b[49m \u001b[38;5;241m+\u001b[39m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124m citizens\u001b[39m\u001b[38;5;124m\"\u001b[39m\n",
      "\u001b[0;31mTypeError\u001b[0m: can only concatenate str (not \"int\") to str"
     ]
    }
   ],
   "source": [
    "cool_name + \" has \" + num_people + \" citizens\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'Miyazaki has 200000 citizens'"
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cool_name + \" has \" + str(num_people) + \" citizens\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "8"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "len(cool_name)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Miyazaki has 200000 citizens\n"
     ]
    }
   ],
   "source": [
    "print(\"{0} has {1} citizens\".format(cool_name, num_people))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Miyazaki has 200000 citizens\n"
     ]
    }
   ],
   "source": [
    "print(f\"{cool_name} has {num_people} citizens\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 1.3. Razredi"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "class Product:\n",
    "\n",
    "    def __init__(self, product_name=None, tags=None, price=0.0):\n",
    "        self.product_name = product_name\n",
    "        self.tags = [] if tags is None else tags\n",
    "        self.price = price\n",
    "        \n",
    "    vat = 0.25 \n",
    "\n",
    "    def product_price(self, with_pdv=False):\n",
    "        if with_pdv:\n",
    "            return self.price * (1 + self.vat)\n",
    "        else:\n",
    "            return self.price\n",
    "    \n",
    "    def contains_tag(self, tag):\n",
    "        return (tag in self.tags)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "12.5\n",
      "10\n"
     ]
    }
   ],
   "source": [
    "prod = Product(product_name=\"toilet paper\", tags=[\"health\", \"toilet\", \"fresh\"], price=10)\n",
    "print(prod.product_price(with_pdv=True))\n",
    "print(prod.product_price(with_pdv=False))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prod.contains_tag(\"fresh\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prod.contains_tag(\"money\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "prod1 = Product(product_name=\"toilet paper\", price=10)\n",
    "prod2 = Product(product_name=\"toothbrush\", price=10)\n",
    "Product.vat = 0.5\n",
    "prod1.vat = 0.3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "13.0"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prod1.product_price(with_pdv=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "15.0"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "prod2.product_price(with_pdv=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 2. NumPy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### 2.1. Polja"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 2, 3])"
      ]
     },
     "execution_count": 45,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = np.array([1, 2, 3])\n",
    "a"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1., 2., 3.])"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c = np.array([1, 2, 3], dtype=np.float64)\n",
    "c"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(3,)"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 3, 4],\n",
       "       [2, 3, 5]])"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "b = np.array([[1, 3, 4], [2, 3, 5]])\n",
    "b"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(2, 3)"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "b.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5"
      ]
     },
     "execution_count": 50,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "b[1, 2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([4])"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "b[0:1, 2] # Primijetite razliku!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([4, 5])"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "b[:, 2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([4, 5])"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "b[0:2, 2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 2, 3],\n",
       "       [4, 5, 6]])"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "d = np.array([[1, 2, 3], [4, 5, 6]])\n",
    "d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 2, 3, 4, 5, 6, 1])"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.append(d, 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 2, 3, 4, 5, 6, 1, 2])"
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.append(d, [1, 2])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 2, 3],\n",
       "       [4, 5, 6]])"
      ]
     },
     "execution_count": 57,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1],\n",
       "       [2]])"
      ]
     },
     "execution_count": 58,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "to_add = np.array([[1], [2]])\n",
    "to_add"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[2, 3, 4],\n",
       "       [6, 7, 8]])"
      ]
     },
     "execution_count": 59,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "d + to_add"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 2, 3, 1],\n",
       "       [4, 5, 6, 2]])"
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.hstack([d, to_add])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [
    {
     "ename": "ValueError",
     "evalue": "all the input array dimensions for the concatenation axis must match exactly, but along dimension 1, the array at index 0 has size 3 and the array at index 1 has size 1",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mValueError\u001b[0m                                Traceback (most recent call last)",
      "Cell \u001b[0;32mIn [61], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m \u001b[43mnp\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mvstack\u001b[49m\u001b[43m(\u001b[49m\u001b[43m[\u001b[49m\u001b[43md\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mto_add\u001b[49m\u001b[43m]\u001b[49m\u001b[43m)\u001b[49m\n",
      "File \u001b[0;32m<__array_function__ internals>:180\u001b[0m, in \u001b[0;36mvstack\u001b[0;34m(*args, **kwargs)\u001b[0m\n",
      "File \u001b[0;32m~/DEV/machine-learning-1/venv/lib/python3.10/site-packages/numpy/core/shape_base.py:282\u001b[0m, in \u001b[0;36mvstack\u001b[0;34m(tup)\u001b[0m\n\u001b[1;32m    280\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28misinstance\u001b[39m(arrs, \u001b[38;5;28mlist\u001b[39m):\n\u001b[1;32m    281\u001b[0m     arrs \u001b[38;5;241m=\u001b[39m [arrs]\n\u001b[0;32m--> 282\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43m_nx\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mconcatenate\u001b[49m\u001b[43m(\u001b[49m\u001b[43marrs\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m)\u001b[49m\n",
      "File \u001b[0;32m<__array_function__ internals>:180\u001b[0m, in \u001b[0;36mconcatenate\u001b[0;34m(*args, **kwargs)\u001b[0m\n",
      "\u001b[0;31mValueError\u001b[0m: all the input array dimensions for the concatenation axis must match exactly, but along dimension 1, the array at index 0 has size 3 and the array at index 1 has size 1"
     ]
    }
   ],
   "source": [
    "np.vstack([d, to_add])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([2, 3, 4])"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "to_add2 = np.array([2, 3, 4])\n",
    "to_add2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 2, 3],\n",
       "       [4, 5, 6],\n",
       "       [2, 3, 4]])"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "result = np.vstack([d, to_add2])\n",
    "result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1.        , 1.41421356, 1.73205081],\n",
       "       [2.        , 2.23606798, 2.44948974],\n",
       "       [1.41421356, 1.73205081, 2.        ]])"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.sqrt(result)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 2,  4,  6],\n",
       "       [ 8, 10, 12],\n",
       "       [ 4,  6,  8]])"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "result * 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 2,  4,  6],\n",
       "       [ 8, 10, 12],\n",
       "       [ 4,  6,  8]])"
      ]
     },
     "execution_count": 66,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "result + result"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[1 2]\n",
      " [3 4]]\n",
      "[[5 6]\n",
      " [7 8]]\n",
      "[1 2]\n",
      "[5 3]\n"
     ]
    }
   ],
   "source": [
    "x = np.array([[1,2],[3,4]])\n",
    "y = np.array([[5,6],[7,8]])\n",
    "v = np.array([1,2])\n",
    "w = np.array([5,3])\n",
    "print(x)\n",
    "print(y)\n",
    "print(v)\n",
    "print(w)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "11"
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "v.dot(w)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "11"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.dot(v, w)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 5, 11])"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x.dot(v)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-2. ,  1. ],\n",
       "       [ 1.5, -0.5]])"
      ]
     },
     "execution_count": 71,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.linalg.inv(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-2.0000000000000004"
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.linalg.det(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "5.477225575051661"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.linalg.norm(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1, 2],\n",
       "       [3, 4]])"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4"
      ]
     },
     "execution_count": 75,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.max(x)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([3, 4])"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.max(x, axis=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([2, 4])"
      ]
     },
     "execution_count": 77,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.max(x, axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [],
   "source": [
    "p = np.array([2, 3, 1, 6, 4, 5])\n",
    "b = [\"a\", \"b\", \"c\", \"d\", \"e\", \"f\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "6"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.max(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.argmax(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'d'"
      ]
     },
     "execution_count": 81,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "b[np.argmax(p)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.5"
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.mean(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.9166666666666665"
      ]
     },
     "execution_count": 83,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.var(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 1.        ,  1.09090909,  1.18181818,  1.27272727,  1.36363636,\n",
       "        1.45454545,  1.54545455,  1.63636364,  1.72727273,  1.81818182,\n",
       "        1.90909091,  2.        ,  2.09090909,  2.18181818,  2.27272727,\n",
       "        2.36363636,  2.45454545,  2.54545455,  2.63636364,  2.72727273,\n",
       "        2.81818182,  2.90909091,  3.        ,  3.09090909,  3.18181818,\n",
       "        3.27272727,  3.36363636,  3.45454545,  3.54545455,  3.63636364,\n",
       "        3.72727273,  3.81818182,  3.90909091,  4.        ,  4.09090909,\n",
       "        4.18181818,  4.27272727,  4.36363636,  4.45454545,  4.54545455,\n",
       "        4.63636364,  4.72727273,  4.81818182,  4.90909091,  5.        ,\n",
       "        5.09090909,  5.18181818,  5.27272727,  5.36363636,  5.45454545,\n",
       "        5.54545455,  5.63636364,  5.72727273,  5.81818182,  5.90909091,\n",
       "        6.        ,  6.09090909,  6.18181818,  6.27272727,  6.36363636,\n",
       "        6.45454545,  6.54545455,  6.63636364,  6.72727273,  6.81818182,\n",
       "        6.90909091,  7.        ,  7.09090909,  7.18181818,  7.27272727,\n",
       "        7.36363636,  7.45454545,  7.54545455,  7.63636364,  7.72727273,\n",
       "        7.81818182,  7.90909091,  8.        ,  8.09090909,  8.18181818,\n",
       "        8.27272727,  8.36363636,  8.45454545,  8.54545455,  8.63636364,\n",
       "        8.72727273,  8.81818182,  8.90909091,  9.        ,  9.09090909,\n",
       "        9.18181818,  9.27272727,  9.36363636,  9.45454545,  9.54545455,\n",
       "        9.63636364,  9.72727273,  9.81818182,  9.90909091, 10.        ])"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.linspace(1, 10, 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [],
   "source": [
    "w = np.array([[1, 2, 3], [4, 5, 6]])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[False, False,  True],\n",
       "       [ True,  True,  True]])"
      ]
     },
     "execution_count": 86,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "w > 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([3, 4, 5, 6])"
      ]
     },
     "execution_count": 87,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "w[w>2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [],
   "source": [
    "w = np.array([1, 2, 3, 4, 5, 6, 7, 8])\n",
    "y = np.array([0, 0, 0, 1, 0, 0, 1, 0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([4, 7])"
      ]
     },
     "execution_count": 89,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "w[y==1] # Jako korisno!"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[2, 3, 1, 6, 4, 5]"
      ]
     },
     "execution_count": 90,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "list(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[2, 3, 1, 6, 4, 5]"
      ]
     },
     "execution_count": 91,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "p.tolist()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### 3. Matplotlib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "%pylab is deprecated, use %matplotlib inline and import the required libraries.\n",
      "Populating the interactive namespace from numpy and matplotlib\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/svenskender/DEV/machine-learning-1/venv/lib/python3.10/site-packages/IPython/core/magics/pylab.py:162: UserWarning: pylab import has clobbered these variables: ['prod']\n",
      "`%matplotlib` prevents importing * from pylab and numpy\n",
      "  warn(\"pylab import has clobbered these variables: %s\"  % clobbered +\n"
     ]
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "%pylab inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1107de890>]"
      ]
     },
     "execution_count": 93,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot([1,2,3,4,5], [4,5,5,7,3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x1108f6770>]"
      ]
     },
     "execution_count": 94,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(np.array([1,2,3,4,5]), np.array([4,5,5,7,3]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x110986c80>]"
      ]
     },
     "execution_count": 95,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot([4,5,5,7,3])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot([4,5,5,7,3], 'x');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [],
   "source": [
    "def f(x): return x**2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([  0.        ,   2.04081633,   4.08163265,   6.12244898,\n",
       "         8.16326531,  10.20408163,  12.24489796,  14.28571429,\n",
       "        16.32653061,  18.36734694,  20.40816327,  22.44897959,\n",
       "        24.48979592,  26.53061224,  28.57142857,  30.6122449 ,\n",
       "        32.65306122,  34.69387755,  36.73469388,  38.7755102 ,\n",
       "        40.81632653,  42.85714286,  44.89795918,  46.93877551,\n",
       "        48.97959184,  51.02040816,  53.06122449,  55.10204082,\n",
       "        57.14285714,  59.18367347,  61.2244898 ,  63.26530612,\n",
       "        65.30612245,  67.34693878,  69.3877551 ,  71.42857143,\n",
       "        73.46938776,  75.51020408,  77.55102041,  79.59183673,\n",
       "        81.63265306,  83.67346939,  85.71428571,  87.75510204,\n",
       "        89.79591837,  91.83673469,  93.87755102,  95.91836735,\n",
       "        97.95918367, 100.        ])"
      ]
     },
     "execution_count": 98,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "xs = linspace(0,100); xs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.00000000e+00, 4.16493128e+00, 1.66597251e+01, 3.74843815e+01,\n",
       "       6.66389005e+01, 1.04123282e+02, 1.49937526e+02, 2.04081633e+02,\n",
       "       2.66555602e+02, 3.37359434e+02, 4.16493128e+02, 5.03956685e+02,\n",
       "       5.99750104e+02, 7.03873386e+02, 8.16326531e+02, 9.37109538e+02,\n",
       "       1.06622241e+03, 1.20366514e+03, 1.34943773e+03, 1.50354019e+03,\n",
       "       1.66597251e+03, 1.83673469e+03, 2.01582674e+03, 2.20324865e+03,\n",
       "       2.39900042e+03, 2.60308205e+03, 2.81549354e+03, 3.03623490e+03,\n",
       "       3.26530612e+03, 3.50270721e+03, 3.74843815e+03, 4.00249896e+03,\n",
       "       4.26488963e+03, 4.53561016e+03, 4.81466056e+03, 5.10204082e+03,\n",
       "       5.39775094e+03, 5.70179092e+03, 6.01416077e+03, 6.33486047e+03,\n",
       "       6.66389005e+03, 7.00124948e+03, 7.34693878e+03, 7.70095793e+03,\n",
       "       8.06330696e+03, 8.43398584e+03, 8.81299459e+03, 9.20033319e+03,\n",
       "       9.59600167e+03, 1.00000000e+04])"
      ]
     },
     "execution_count": 99,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f(xs)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x110ac8670>]"
      ]
     },
     "execution_count": 100,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(xs, f(xs))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(xs, f(xs), 'r+');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(xs, 1 - f(xs), 'b', xs, f(xs)/2 - 1000, 'r--');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(xs, f(xs), label='f(x)')\n",
    "plt.plot(xs, 1 - f(xs), label='1-f(x)')\n",
    "plt.legend(loc=\"center right\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(xs, f(xs), label='f(x)')\n",
    "plt.plot(xs, 1 - f(xs), label='1-f(x)')\n",
    "plt.legend(loc=\"best\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(xs, f(xs), label='f(x)')\n",
    "plt.plot(xs, 1 - f(xs), label='1-f(x)')\n",
    "plt.legend(loc=\"best\")\n",
    "plt.xlim([20, 80])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(xs, f(xs), label=r'$\\lambda^{3}$')\n",
    "plt.plot(xs, 1 - f(xs), label=r'$\\mathcal{N}$')\n",
    "plt.legend(loc=\"best\")\n",
    "plt.xlim([20, 80])\n",
    "plt.xlabel(\"hello\")\n",
    "plt.title(\"woohoo\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def f_1(x):\n",
    "    return np.sqrt((1 - (np.abs(x) - 1)**2))\n",
    "def f_2(x):\n",
    "    return -3 * np.sqrt(1 - np.sqrt((np.abs(x)/2)))\n",
    "\n",
    "x = np.linspace(-2, 2, 1000)\n",
    "plt.plot(x, f_1(x), 'b-', label=\"bolja polovica\")\n",
    "plt.plot(x, f_2(x), 'r-', label=\"dobra polovica\")\n",
    "plt.xlim([-3, 3])\n",
    "plt.ylim([-3, 1.5])\n",
    "plt.xlabel(\"x\")\n",
    "plt.ylabel(\"y\")\n",
    "plt.legend(loc=\"lower right\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter([0, 1, 2, 0], [4, 5, 2, 1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter([0,1,2,0], [4, 5, 2, 1], s=200, marker='s');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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1a+IZK4Tc0kNVzt2RJDF4fb7s3++oAb2NM/TtWwpaKY6k2qh/AphkiYPux7EmNdz03Kh40k6mktz03MSqt3L68OltLePzeIQql0yujqdkXIRMpqbEz+Vl8Z+plPi5vAzz86juTtESmycaSqyN14rDE14v/Ot/DZ/9rGAziYQYyKkUUmwFbdhHctG3fg2JhGBI7e2CgWcyoDJoaoLHHxcq4fXrwgyt0PCTJHEJkQi4XOJ9q6p6TUgkNu4Au904NXiKXnsvE96JLSPbVfmbOJ3wyssiL0Otho52QV6bmpDMTWgMZia7zUJK0OuF/PelL1W/GyuTUS0hoUUmUeo7klTcmDuJd6YZe+t8yXGRUlLIkpz1HTQaNwrsSJ+R7UAlEuKNHx/EO2+jfV/hMlGVpMKitTCzPEO/vR+LTgSj/X6xETSbxWRYrEijUOlhLjSafDIC21h6uN3uWRmYuiNh1sXrQojMmhgrvm6eTRzlXFMb113X77sW6y+8APfuCSlYCgXXszi12mzJLROKAvE4kteDXRfCFd3N2Jieo0crCE+MjsK/+3fwd38njt3bm8eoe2x+XvXvBpVPsKVQSOSMmM2CMXk8gpE//XRZ2SIYhBMn4FOfEmP+8mVxCRqNOJxaLYhDMCiISDQqVMQqokFFzzu8/QVSG4LdYOf04dOcvXKWm56b9Nv7KwqdJFNJJrwTNZHtiv1Ncp3ppPw9sxkNk/g2XvpVpNHRfMDM1QUHt702rvofYyYZpVVWY7XOY7fP0dk5gcUidn2BQAvTrqNYdPOoInowthQ9XSwVw2HInw83VKn1gFh3N8jIKspZJAfcFqbf6cbSEigqwQEYNUZcIRcLwQUsOkuWRKxSiZj9zEx+SWKh0sNCUKmKO0ZuaenhTnDPyoCiCB4kN5tgKbbh46lVKWJRhUN7n+D5E5/i/Nh5Ls9cZtQ1ikbWYNaYUavUJFIJgvEg8WQcu8HOyYGTO6IXRXrDZzCAHAuDa25dhSg1cUmSuJcaDapIBEtsgZmJDvr7DVnhibxDpBMA33xTsID29oIDuU8/x0XlCIpGi6TRCJYwNycGrtksxkgpxr6KVc5Eb694y5kzYszn8mKTSRCHRx6B114Tf9/IvJ153vsdQx1DPHvsWc5dO7fpZLtif5NwGK6NiDmktQWKhEfUqIiRREERiaW1ln6lGx2twhsxcH7sIJemu/FF9WjlFFrtIgnJSTRhZHp6iDt3jqDXB+nufofBwVdYWNhPNGqm3XwHotaS30EqlcKmL1xLXnGlVjUbwPuIqDTIyCrKSYgLtzqJBvS097pKHkeSJFQqFb6ob/Xf4jlJJMT/G41irs0t0ihUelgI5Rwjt6T0cKe4Z2UgvYZGzVbwFmFrVSCRkjBJMaS+XuwGO2eOnuFk/8k8zxmT1sSwY5heW++Osa2G9Q2fSRsnNu0FEuvlMZVAksBgwBgO43IusXBXhb5ZV5jLpBMA02GXEox62DyBTR3EnWimTbMkrimdCLV3r5A1ijH2DLjdYq3JVCgcjuwxnzkE5ueFSuR2i410rSh03vsZQx1DPH/i+U0n2xX7m2TKw0XzNCBBChPajAoXqpOH0wv6+fMivjc5yejKAOeWP8lkoouuljBD7ctIEgSI4cKPmmWa0a4mejczPv4UbvdeVKo4spwU/a6KxeCBcDyMQWOg01y4lrxsKLSSDeC3vy2ewZYWsRFUqe6bHiMNMrKKchKid86GrElVNJenM6bTsFqF6gHF8z5ySw+LoZxj5KaXHtbDua0AIamHXXpPD7x6u1XEkMNhsS2uEcGAwnB7AIZ/au13Dosjx+BuZ1i8F0J6w2dbWWA6kgJ7FUQkDUlCMhqQvSv4bjixPLqn8CKcTgA0GssyaofOy/Hmd7jgeQq7OoAspQQhCYXESu9wFGfsq0gmhZhSTv3L/LgOhxDoLlwQw7EWw7VKz3u/YavIdll/k0AAZlbl4QKhmUwEiTNMgWspJw/nLugzMyDLjAZ7OOv6WfxxA4fUV5DjKog0Q2srFo2ObpoZx4MBDSpJwmRawmAI4PXuYnFxL3b7nBhwilJwI5RSUgRiAQZaBtbC94VQNBRabgOYToianxdJiu+8I8jI4KBIWLwPvCAaZITKJET/vBWtoTL5PzNjWpIk7HZRwZgeo4XyPjJLD4tfZ2WOkZtWeriRpiI5Euq8ZoWrC1e55b3FHf+dujTH6uuDixcNKLu7kSbGxSJXKuZVBEoyRTwcp/dYS8lVZ6cSERDqrVkKIUdmuaPei8JKiX1mCUgSGp2EzxVHvydCb29OskVmAuDkZEWM+lTrK4yF9zIR2cUBw7T4HrVakUBrt4sEK5WqYHKUoghe29sr5tNqcOqUEOgmJqobvhs979oBdvB4gc0n22X9TRYWIBIVyaoloKAQJ0kvRSbCYvJwoQV9fh5PSM853yn8KhsHrNNIGMSuz+MRm5qODgbNrSwSxkuEFgxISKhUKez2aebmDuD1dmE330ajS+ZX5CgK3ogXm8HGYGvpWvKCodByG0CnU1RGeL3rbaglSRATp1N81q4usXAkkzvWC6JBRigvISoKJBNqJFWqouOllBRaaT3k09mZvVnPzfvIzCsphUodI0vG9jeCjTYV6e/n3Ymf8O///B/xujXMYngRCQmdWkezrhmz1sxt7+2am2MND4vnzS09Qpt7UTyc6Y5olUJRcC/EsduNDP/zJ6v7jDsEa/kzfg+dKid63R7CcQ0mbbym46k0MsFQClvCzfBwTsPKzATAt94qz6gBuybA6Y7vcHbuZ7kZ6abfMIus0Qh1JBgUZESrzSMjyaQgBFarmEer3djZ7eJ9Z88KXtzfX5lCUtN5d1Bid62oN9ku62+SlofL0GY3YewYGKbIRFhIHi62oFutvHD3GJMxB4dMd1anivW8qXROk6GriyPmDq4wh4cIdgyokFCpwGBYJhSy43bvxbF/PutSUkoKb8SLXq3nSMcRDJrSmdN5aV3lNoDpZN9QSMTwFxbWK9g0GlHCOT8vxl/a02fXLjEmd5i5SaO0dxU91h6CsWDB/5MkkNUJlFRlX1csFcNmWGftFovwdAoExHhJpbI3kOnQTakikLRj5O7d5R0jqyo9rLTyZINNRbxE+NfyK/zC/qv8j6VLuJfnsWgtNOma0MpallaWuLd0j3tL94gn40hIXBi/wJde+RKjzsrK9dJS/JxHT3LoiHjwPB7x5VWCVIrkope5RDtP/aPdOB4pI0HtUKSFhqQ/gEUXp7t5mUBMS2r1VitUV22UVFREUjqOt47nr5+ZCYCrjLqSITVknuLZrhfZpXNzPbSPxYQVBUmEeSCLsSuKCOtfvy7m0Y3Mn0ND4v27dpUuBwZqO6/Xm+198eqrQvGJx8XPV18t6o1RbYnt/Yay/iYVyMNJUswR4Cl246DERJgpD+cu6Bnz15y+l0vhx+jSukXIMBOreVMkEuB00hHXcYwuLOhwESJEDAUFg2EZlSrOcqCDFayAuJehWAhXyIVFZ+FY1zE6zOVryYPBnOToEh4oItn3mvhcgYAYSyqVYDNGo5j/mprWF520p8+tW2I+v3NnB3hBrKOhjKyinIRodfiZvr6n7HGKZUwPDoqJzesVk1zupJ6ZV5J/zOocI0uWHta6YytSAlcJRnHyB/yEV7iLWq2iL2RAViygb875nArheJgJ7wTuiJuhtiFml2erao61JsXPdnDgPceQro2IWKrFsi5f5mLVelRZDjDBAXqf3s2p39xAluMOQE8PvHohBiYt3c1zjIdVTES0yAYviiQqEPSoMaDGjBZdkalAUUSFwX7LLKesF4EPZ79gaop51S6u3hrgtquJqXA7MY0ZrRSnxzBPn36OYfMEDl3+hDdknuJ53Tc57z7B5eVHGY0fQONVMJubUIchodETvCERj4uxf/JkfULdQ0Oi2KJcOXDV560ysXv+u3/F1YkL3H7qIFPGlbqEKnc6Tg2eYsw9xoR3Irs3TVoeLuERpKAwgZde7JyizESYKQ+XUHRHOIJPsTKkTEJBl1UpK6epw+HgaXSM4WaGZVyEiBvcJGkjktLjCjejD8+TSqUwaAwMtAww2DpYVhFJfwVZlVrlNoA3boj5PBoV312h7PLcEKhp1cbe6xXfTzy+Y9pQN8jIKspJiPYuH3eu7isb+iiWMW0wwJEjouGd0ylyirKOn5NXkkYqtR4KrMQxsmjp4UZLcdM74Cql21Gc/CGXeI1ZjGhoxYgkhdd3wBmQJAmT1oRBY8Ab8fLWwlu8x/Ee/FF/xc2xsqR4fwf973saeXxMJKq5XOvZ5atGXMRiQhHRGZloOob10C5OP6ffabldVaOvV+G7iRRvajzMaOZY6XCyMjeEEmlCZ1hCklIss4KfKGpUNKOjFSMa1ie9lAKesAFZleLn+0awq/xZA9TrUTg/8jiX5vbik+xoV1yY4x5ktUw0peXVpSEu+o5gUwc53vwOp1pfwa4JZF2nXRPgjOMlTtovc3VxN7fj3Uzp30csEMW0q5nhE2Is1zuqUUk5cFXnrSKx2ytFOd82zaXWeXxBN9rXRjEffAy5pS2rCWctocqdjqL+JrllhzlIkmICL1b0nOYwdspMhOl4x/x8yQX9dnQXWrMWaSUGWk3h+S1nQTfodBzFQT92Fggyb4pyXRVlhWaSMTt7m7XY9DY6zZ0lk1VzkVepVWoDGAiIARuJiHmsVKVcbghUpVr39PF44Ec/2hFZ2Q0ysoq0hHhh/AJ2gz3PAKizfx69ZZDwkhGTNVzwGOUypjs6hNq2siLmrMVFkWslSfl5Jek+IYGAGKDpPiHlULD0sB6luFNTgrxUAQ9hznGNd3AhAS0Y1z0BosVL4FSSsNf3RDxcc13jfbvfx23v7YqbY6Wl+HPn4PptA13dR2nd34/kXMhuV6vVonQ6cMvtzCU76X1Ev9NyumqGvvsGd8zThGIqWg0q9pijhLpu4XTuJxJqRasNY9CsgKQQJ4WHCCHidGLGpGgJxzUEYlr06gTDrQt8svvNLDIqhpTE5L0hurRuhtpcSGqPmPw16zs0RQF3opkLnqcYC+/ldMd3GDJP5V2vQ+fFYZkSD8HPBFHeHkX69TPwzObW0JYqB64YVSR2j+LkHNeYxEuXZGHI0ovk9sL4PJzoX9ttpH09LoxfYMw9luXrcR/kwpZEUX+TAvKwgoKbMHME6MXOaQ4zRAUTYVoeLqPoTvmtmFvU4NWLhb3Yop67oAMWdFgULf1BD+ZmhWsrnXTKu3liV5VfCEUqtUptABcWxFwdj4t5uZx3kCRlbwAlSSwUTie8++6OaEPdICMZKCohApaWIN2PTjN+aQCDJZJnfFZJxnQyKYjIr/+6IBy5EnFTk1BH0mTEYBBdRSt1jCw4oOtRinvo0GpGZHW5Ii9wg3dwESeFBR2qdGKaJIltd4lZNW2v7wq5GPeO093UzeWZy5zsr6zx3NAQ/Kt/pfDCC5L4nuctaDQWzF2g3gOJuEIwlBECeGpHVrvVhFHnKH957yyGPgeJkfdhsMwhqVKYzX50urdxu/eyvNxGKGRFpVJQqeJopBQhJcXtlIwtpcOqgf12D4qi4pn+CRypWeg9IY6fOaT6osizXpBa1+Mc8fha7F+SoE2zhF0dYCKyi7NzP8uzXS8WJCTEYmLgut1ILdtj5lHTIl9hYvcoTs5yBT9RDtGOnE7Za8k3epMkiTZTG3aDnbdvL/L/+cnfc1hjZ8Wz637Mhc1DQX8TQwizKogaHQlSBIkTJ4kdAycZ4BSD5RURyJaHSyzoigKxpBpZoxK7wbm54oQk7VqZuaBnyNaDT3Rw5w31WopaNUV8RSu1Sm0A5+fFtRYLPedCLuCBolKJRcfjEWTkmWcqv+hNQIOMZKCcRfLgiRu477bhnbXT0u1ZGwOVZExnDrhf/dX1WHSmRNzfL4i3osDBg2KCqbS9ecEBXcdSXOEoVsawKANzBLjENGokVkjQTEYXXUUBWSp7PZn2+vtt+5kPznN14WpRMjIfmM/zSdB2a9nneJTuucdQ+wfwzDevSvESw0c3JwSwnchs9vihE0l+fHsar3cPLS3Tq0UGMRyOCez2GYJBO5GIhWjUgqKoMEkpkoZZtPoIT5kMeIM2djUFOHVwDG6JyT1vSN2ywb0pcU91OhF/9HgEw864v7KU4oBhmpuRbs45P8bzum9mh2wURcziTU33l5lHhYndaZXQT5QDtOSYdRW2Zo4sGxh75SDT7+xm0ZPgtsHFE/taMOr022FyXHfk+ZvcucrU3f+HWCSGyWBmGAe92Bims3Syai4y5eHvf7/ogi5JoJUTRBN6sJjFPVxYEApIupomc45KNzjKlK1tNjhyBENHG30+MZePj9ehUmutJK7IQebnxWs0msq+k2IeKEajkOjfeKOy42wiGmQkB6Uskg1NEQ5/bIQrLx7DM92CrctDNBUiEAtgM9g40nGkYMZ0sQFXSCK+fn1912k0VnbNRQd0HUpx19wMe3rE7FchRljAR5QkCjKq7Mk3mQRzZZNL2l7fGXKikTVM+vINVLwRL+fHznNp+hK+qA+trMWsNSNLMtFElLnY94g1XcDWbuP4h4/zyYOnaDHeR7N2FUg3ezzUfghZF+bw4Ze48vYv4fF0Y7fPolotT9fpIuh0s2vvS89RKRScqQhXvId4XB/l9OER7KHptck9b0jlxhdbW8XfC+wwJQn6DbNcD+3jvPsEZxwvrV94OCyOE4nA/v01mnlsAypM7H6BG0zi5RDt2c9CGkYjONeN3pyT7Vz7zhG8czYsrQF6DoRYDE+xpFPoc6zb5G+hyfGmYc3fpP8ZuNuBcuF/Ih0a2rgzXWdnWUW3x+rn1enVwgSzWbgAu90iPyQUWs9lkSShtsRiIrRhNObJ1lqtOG0sJqbNrq71MHwu0vdtbk5siPLu25qldIENoKKIa1OpKp/X0w94McXH49n2+F+DjBRASYvktnm6P7zAu98/xu2bbVjbUvTvdvBIW37GdNkBlwNJysl32MiA3mApLpDtZvjBD1ZlXnIbL1pk5gmgJfP8q+xcr6/oEjLt9R1mRx4ZGXWOcu7aOSa9k3RZuhhqHypYDbUeg/+feTH4BwV5zR4tFjqOrHAs+hdcm/4ULtc+LBYPRuNSwTlJUSASthIP7CNqv8svHF5gqHUZrovJfU5x5A+pdN36+KrJnEYjkpuKSN6ylKJL5+Hy8qOctF8WVTaplJj8m5oEO6/FRGS7UEFid1ol7MKyHprJgwSyMHpzTrZz5cVjRIN62ntcqyHhwk04qzA5vj9w6hRSvZzpSi3oq+iz+7h4J6MwQaMRY9Buz+6wqChi0JtMolV0Z2eWbJ2ODJ04AU89VadKrQIbQHGdq8SomlhQMllcZlerxUVtcyJSg4wUQSmL5J6DQZ56ZIG5K3tZvPEYUbeRO0t1KA1cRV1KDzdQipuFtJshrDqKVdbcYwo/JjQk042s0ojHQa2pKhk2ba/f3dRNLBlbK78edY5y9spZ/FG/UAIKdR0NBGBhAcnrpc3vx56MM6EZ4+xbl3l2/z9m6H2f3LRwwFZvNAo2exwcpMP9Miea/g1jrv+FmZlDuFw9yHISjSaCSpUklZKJxw0kkzIGQ5BHB15HGXyBqL4XbqbWJveRy0WGVGbdekuLuLddXWIHWUDyblUvMRrq4WqwH4fm0rrk/MQT8JnP3F8raQWJ3WmVcIgyjae0WsJzSa69cYRoUJ8VCob8JpyZqLVP3I5DvZ3pyii6w53z2PSDuMNG2kwZhQk63VqiKrC+89u7V1xTDjIjQ3Wr1OrrY/7bI1wd389tn50pv5VYUo1WTtATTdEXv8GwYQqHerH0d6OU2QAmk2IMN5SRHYiMm1LSIvmnC9t21FQamIMND+gaS3HzkHYz9Psrbu6hoBAjiRoVMhIJUmv/QywG9pbsB70M0vb68VQck9aEJElZuRG5ycaA2NGMjYleF5GouF6tFlklcSBi5GZkmnPTf8Tz3/0J9ic/WJeA+3abbhZs9mgwwOEjGK5c4aj+P9O/v58F5wBebxd+v4NkUoNWG8XhmMBmm19rjT6mLDPpvAHWJ9Ym96JDKl23fuWKkHvtdjG56XTZkrdKBSoVkiShSUSYXLSAb1K89pd/GX7zN++vFbRcXH8VaZWwYHgmEyoVN945gTdko73HVUC9ym7CmYvcyOoOsI6oDXWTh0n3iCi60DosQY53T3NhfAC7IYKsKuM8WaAXR7GeRRup1PJ64fzYe7l0y4IvYUZr1GDWxpClFNGEnleTT3Jx5T3Y/GGO665yyvgd7PJS4YPF4+u72Vyk/V2qdareBDTICFS1iuQuenUpDSyBmo9fQyluUaTdDL/whYqae0hIaJGJksCKgWmWAAXCEcHOW1urOn3aXj8UD3F0NV6emRuRR0ScTtGG3OcT0mRHdgdQCejHwnXFxfngLGc2GHDfqIVLvVC02WNHBxw7BtdGsPjGsOyagX4jIBUYTyI5zxwNMWk3wC+va/4lh1T6HCMj2SZzhSTvVAqzKsxkshuOHxMk5Kd+qr5fxlaggjAACJXQXMhQKweB5RamFx7D0hPIq9ZLI7cJZy7K9YnbbNRt/quXM91aj4jiiu6pwRuMuduY8No50OIpfP1FenFU07Oo0u9l3YnBSteuFobm3kayt2eHZeyLKPMLuJUOLkR+irF4H6fNf8WQ9mb2wdKEuaXIBjAcFsd9z3squ7hNxMNNRjZhFdlsclmxxXsNpbhFkXYztNkqllB7sPIq09jRc0fxoUTCSGoNdHRWngG+ilgqRqe+k3gyTq+tNz83IhPpXg3p7rFFun/KqOiSLFy2LHHy0GEcE7M1BdzrYeFSD5Rt9tjRASeeXlWLZkSypKxCyjWASwoDJXX3PmJ9/SiHDiFR4ZDq6ICnM86RaTKn1YpxpNNBMom6yU7McQDl658QZbz3K8qEAdIqoVxBm8KFuV6iyRbamwv7GEF+E85CKNYnbjOwqWpgPeIdnZ1lFV27IcLpwyOcvXKMm54W+u3ebIUk3YtjYCAr72KjvZIKIc+JIdYDL0/n99myWJDcbtpSi9jVy0wkezgb+FWetfzndUKiKGIDUGwDmP5czc3bUkafi4eXjOyUVWQzUOGOrWJkdm+qUELtw85F5Q77olr0xAnr9Jg6uqpWa9L2+rIkYzfYGe4c5urC1fzcCFjt1TAiPndrC+UabrViZBQXV+VFHDUE3Oth4VKvoVSu2SMgdnZHjwoSuZBjAKfRQqdDEM7OThIpPyZ909qCV/GQKnUOrVYsGjYbiVQXJocJqaU+n3/bUCYMkKkSloaC178b2aAqueHIbcJZCOnI6qZ07l7FlqqB1cjDhdhRKgVLS/D3fy8UgKamvLcNdbh49tgVzl07wnVXO12WAK3GMBKK+LA221ovjmoLEypFQSeGQiFQlUp82UYjhMPIyRgH5NvcTPZxLvhzPN98VrglRyJiA9BZYAOY7jGi14vJq0FGtgk7aRXZLFRZilsSuc1uKpBQh6MBbC1hVrQS3a37GDeEMZiMVXdmDMfD6NQ6kkqSp3Y/hcPi4Fvvfis/NwJErwafTygiFexEJSQ0yEziqzrgXk8Ll3qFbHqsPbw6XcE9t1iyM+sLTO5B9wzDjuwJqqohVeYcwTEY7q3wWDsZFYQB0iphSYTD+MN70baUHkixVAyHobzUkNknrt7Y9n1coZOVYkdpIjw1JRS7Rx6BRx/Nc5Ic6nDx/IlXOD92kMsz3Yw629CElzAbO1HvHiThNmyoMKEcijoxFAuB2myCbCUSSMkE/fIU1xMHOB/4CGfUfyGIRmdn/gYwbdaW9gX6wAd2hKdPtWvD/Y8SHRxLIr2K+P1b1ulwQ008+/rWS3E3ehGFmt2kJdQvflH8fP/7xcDWaKC5Gcfxn+H44z/L3KG9DAz/NHZzG96It6rOpCklxfLKMhqVhkfaH+HUoAjKFsyNCAREsqrFUjQ0UwhmNIKMQHbAfX6+5PtKNdMshzTvmZwU82e90GfvW6s2qvqCMqAoylpILOv4GxlSGeco2j/pfsRaq+g5segVQB92YiSLd0tWUijLAZIGG5K++P6wWBPOQsjsE1dPpPdxs7Ni0WxrKz7+0/u4Q4fE68+eXS/Mq/tFfelLgvXo9YLxHDwoWpw7HOLnU0/BRz8qVJE334TvflcodzmwGyKcGX6LLz72PzhjO8/79y/Q/MQBNB0tNDeL0t3Maa9eRKSsE0M6BDowIMaZy7UuV6pUoCjIK2G6EtNcXjnKfPNBUfmTSUTS/iRpQtPWJsj0DvH0efiUkXoagdU5Xb1U/LW3V+HoUalyAlvBjq0iFGx2k4ESEuqpiJexV77EzPIMj3U8xhtzb+CJeLAb7KjKEIa0LwgSHGo/xOnDp7Eb7MVzIxYWRNVMR5nyyRyoUa0tFBJSRQH3elu41CvRsFyzx0rhDrvXQmJZx9+iIXXfYa1VdOHE7mE6saHHTZg2TDlvVsDjRbLbkNubSMSKPxfFmnAWQmZktV7YiWpgVSp3Z6cgJO+8I/qxfPe7YnHfvTsvKdZht+P4Z0/BqQ+C3Z4l7JXK16kVFTkxFAqB6nRi4UgkQK2mNRZmNLGHq4khHOHL6/lg8bggMQaDMBVM+wHtIE+fh4uM7NBVpJDCKGlD+GMe/OEAF96MkUhIGMxRhh4P8rOfVHj64KHSPVrSO7YKSnGLoljNWilkPKSZ9vr+qJ/HHY8z6hrFFXJh0Vkwqo0FH+pkKslCcIFEKsHTe5/muePPrRmUFc2N8HpXP2N1k0SCFCa062WXFQTc623hUq9Ew3LNHitBMpVkLjDHyYH8HkDbNaR2PMp4YziwcJxuLjCOHcO68ZmSAk+6JfcRrMEg09cLLwzlmnDmIjeyWg/suH1cLezIYBB5IwMDQiGJx9c72RZJii3YZkLW0mPtoc/ex3DncEX9skqhKieG3BCo07k2KUl6PRpfE5OmIdCPZOdqWa3i70tL9U12qRMeLjJSwyqi5Jp2QV1Xkdz46/6DEW54xphemiaaiCLrZUwmLSgS0WUTr3y/iTfenufQT/87Tp7YU7q9eJkdW0lUU7NWApn2+pPeSQZbB3GFXMwGZnGFXMgqGY2sQSWpSKXEhBuOh7Eb7PzKI7/Cbz75m3mfr2BuhN+/1pytGgSJM0zOPSwTcK+3hUs9Y/ulmj2Wg6IoTHgn6LX3roXE8o6//UNqZ6JMYvcpBhnDzQReDmBHCkfWe5scPgIdHdi7fNy5ui8vhaeSJpyZ2Iww2I7cx22EHTU1ibDH9etCbfhn/yzvGOXaTLw6/SoX71zEprdxvPt46bm4DKp2YsgcJDlVbGYpxGRyj8iNSefMBIMis9horH+yS53wcJGRClaReQJcZYHbeJnCT4wkWmR6sNKHXTRtkix1WUVyFUZ3xMkr0yP4Ij4sWgvtpvasxaRJD60tEbwzvYx/x87SyrdKW5vX0c1wI/4Bufb6GlnD7qbdRBNRQrEQSytLRBNRJCTaTe0c6zrGP3/PP+eRtkcKHq/P3sfFOxfX5dK0cY+qugtUUIiTpJecGHxmwL3Ah94MC5d6oVyzx2JIppJMeCew6q1rIbGCx6+zQeYDhRKJ3Xa1mtNSB2d1Tm5Kk/SrWpH7s3ubdPbPo7cMEl4yYrKK8t5KmnDmYjPCYDtODdxkdlR9m4kLNbeZqKhsftVJOqs6TZbFA2W3ixDUaghH/a6PWMiP0tSMFF+N9W/UhXML8HCRkRKriJcI5xnjEtP4iKJFxrzqmxglwatMc5E72NBznG5ONTVh38AqkqswukJOrsxdIZqI0m5qL5pToZIVWvZ48Ey3EL7yj5hs+wZnY2d59tizhR+CGt0M59sPc/Wx09z+0T6mvrFx/4BS9vrVSp55uRHpZlaJcuWT2XATxo6BYXJi8CUC7ptl4VJPs7xSzR5zkZ5M5wJz9Np7K5pMSw2p/F395pRB7liU8MYY0vbw7J5BzunHuK6P0tXWTatev6a7WlqCdD86zfilAfTmcEVNOHOxWWGwHacGbiI7qqjNxCokSaLN1IbdYGfCO8HZKyXm4qLHKFE2n3aSnp4WL1h1kkaSxDw1PQ137ohQX3c3DA6S6NqDqXkP0le/uu0W79Xg4SEjJVaRUZyc4xqTeOnCwlCRzpoKCm7CXGCcMauW07FHGarxZmcqjJFEmBHnCNFElBZDS1lpXZLAvsuLa6qdtnc+gf+p/8a5a+d4/sTzhXe0VbgZek3dnG/6LS6FnsT3fV3d/QNK2utXcYy83AirVTyYFSJJijkCnGQgvz15iYD7Zlq41BMlmz2q1CRSCYLxIPFkHLvBzsmBk1XJzOkh9Y1vwN/9Hfz4x+tzpVot1OD02Onq2rHK8OahSGL3EPD8qvxf6L40Hfai3FAxNWmlbU+SgZYBBlvzm3AWwmaGwXacGrhJ7Khsm4kikFUyB1oOcNNzs/RcXAQFy+YzckGwWFZNHItsIsNh0axycZFg85MMD1vXP999goeHjBRZRUZxcpYr+IlyiPYSXTWFL0UbJuwYmJBmOGt6h2dd16uW5XIVxhuuG/givrywTCmoZAVLa4DZsT08/eQwk97LnB87z5mjRTLDKnAzHFUd5tzbw0w6zcI/oG/z/QNqzUrPy42w28UOAYVySawKChN46cXOKXJi8BUE3DfTwqWeKKVGmbQmhh3D9Np6a0rASyddv/uuGMPNzYKAhEKCYPl8YrOm14sqy4eKiBRCTmJ3sfvS3qbm5345yMjfPoYm9h4eazdsexhsR6qBm8SOSraZKANJkui393Pddb30XFwAed55uU7SpTr0SpKYww0GFI+X+MIkvf/QDuyr6vq3Gw8PGYG8VcRDmHNcw0+UA7SUb2S1ChkVB8J6bu5S18SCMxXGwEqA6aVpLFpL2XLXXBibw7gm21m8vZuuoS4uz1zmZH9+FUQWiuzY7jcfuLzciPZOZINe7BCMueWT60iSYgIvVvSc5jB2cnacFQTcy5huVoyt8tuohxqVidyk62PHEE6Vq8dMfy9p0vrqq6L68IEP0VSJUvdldKg+feLqgR2nBm4SO5pbni3eZqJCyCqZLkuFc3EGssrmTWGxSESj1TWwU6lwG7uxR/wMX/sb8P5v99UO4OEyPctxbXqBG0zipR97xUREQEFKKvS3DDDpneT8WHXOVZkK40JwgWgiilFjrOoYsJoqoU7hm7PRamzFG/FydeFq1Qe5j3zgspDOjdjVtIvrkbssOqwogWVRMpkDBYVFQlzHxS6aeJZjDJETg08H3J96qmTAPXPi2Ai2y29jo0Tk7FmYvRXhkG6CtsnXkP7uu/DtbwvfhtdeQ7o1AYHA1plePSDIvC/pMNjJk7CyIr63dOrA/Lz4OTYmfr+yIl73/PObR/Z6eoSKVw8Egxsk4Gl2VMRkrmokEqDVMuK8hi/qo9VYXSPPXNQyF2d65yXeWXWStturYmzJlMRcoImnHlnC4bpWX0fFLcDDpYxkrCJzbXouMU0XlpKhmYJY7eAoO3bRpYpWzYIzFUZvxIuskmteIDSGGL55K5IkoZE1TPqqD8buNP+AahSHrNwI+UeMLs2gCdzB3NSCGhUJUgSJEyeJHQMnGeAUg/mKSBUB94fVb8PjgXN/FsH/5hwH4teRVipLqJMNhs0zvXqAUY8+cfXCjlMDNyFWett7u3CbiSpR7Vyc9jFx75nhXnIf12/FaWnxYVMlsGOgEzMWCnTczYCiwITXTq/dx6lHxyG4ja2ba8TDRUYyVpGRFj0+VZQhqnPsRFntdNgvOji2KmZGXaNcXbhaERnJVRj9UT9auXp/jDRUcopkQo2igFljrpqM7AT/gI12/syKwVtf4Pa3/wtTXjcxmwWTpGcYB73YRFl2brIq1BRwfxj9Nl740xkmv+vjkDyG1GSC5soS6jhyBKmjYzPNix9oVNMnbrOw49x3N4EdTfm/n99mokZUMhcX8jHZe6iZG5MncC33sGy/wx2VHz1qumlmkFYM5Hc8T6YkJrx2rPoopw+PYDdEQL+FrZvrhIeLjMDaKnLbdRFtp6rq8Aye7A6O1bLgzPiroigklWSV15CNVFKFVh9DkkCtUq/1JqmU3W+nf0C9O386LA4cP/1Z6DwB586hvH0bqWvXpgTcHza/jbkfjHHp//HQJYWQO1orTqjD6xWJeMeOIXd01N0C/2HEdhRI7Dg1sM7sSDlyhNjIS/ltJmpEubm4qI9J82t0DP0V1+7+El7XI1gsbhSjm3HJwyJhjtBBB4IwKQq4w0bmAhZ67T5OHx5hqMMlTrAVrZvrjIePjKyuIlP/6XuY/RFoTlXWWC3Hujmz42O1ikRaYZQkCVmSSZRtL14c8YgWx37R8CmRSmDSmqqSGbfLP2BTO3+uBtylCkqZN9J+s0YLl/vHbyMtWb39NiNfn8O3cJKh5mmY04vxbzYLK+1iUKlEAp7HI1jv00/T2mq43zZsDaxiR6mBdWZHUlcX2tECbSZqRKm5uKSPid9Ph2OFE3u+ydjYCWZmHiXiOoBKTuDU+Pl71QoHUla0cSvxpAq7IcrJgXFODd4QikgmNrN18ybg4SMjgHLoELHHHkW+8U52S+aCCsWq5Jxj3ZyJahWJTIXRqrcyvVy5P0bWlSmQTKiwdYmus8F4MK/teznUv0KufGntllTubFHAvQoLl01pO74pyJWspqe57f04WrWClErC8rK4eWq1qOltbRUfuhAkSXxYlwvGxpCOHr3fNmwNrGLHqYF1ZkcF20zUiKy5OCOUVNLHJMNJ2mAIcPToS/T3X2ZhoR+vtwu/vxN3Msk97TS/4HAzZAsx3DmPw1Iks3gzHBU3EQ8lGZEkCW27g6heDdNLMDMDThfIqvWWzKmUuJHJlNgF5lg3Z6JaRSJTYbQb7Nzx36mp3DK8ZMTQFKWzf75o2/dSqEeFXGAlwEJwAW/Ey+x8EsUZ57e+89f02go7qm55588tCLjvpETDDSNXstq3D6ammNIewCwl15WQdKzd4xHmIp2dxVmtSiUI/8wM9PdjNlsaZOQ+xY5SA+vMjvLaTNQIZXmZ+OwMvXevw397LisJ7oWmW0wq4xza857C58hxkrZYvFgsr639O6GkeEdy0cIAz3C09IVslqPiJuGhJCOwyoIDc/ktmdO+/xotdDoEa+jszO6SmINqFYlMhXFvfyd6tZ5wPIxJW9wfIxeppETAbWHg+DiWliCLocJt30thI/4BkXiEMXdGQz+VTDzegc4UIxBbLtpEatsrdzbxwdwJiYYbQiHJamICJRIlpjIgk1FKmR48Go2wrJ6bEytTMUJiNAp1ZGEBtdlyP23YGsjBjlID68iO8tpMVItV63b33AT2WIRhbyvo29aS4OZe+z6X7CN0aY3IXo2oNvP7s9edRRdEVyARF1+oNjsMqpZUdGHhMjOcpL9wQn4am+mouAl4aMlIFgvObclcxSxZiyIB6wrj7D0Lu5u6mfCOY9AYKjI+UxTwztqxd/kYPHGjZNv3cqilQs4ZdDLizG/o5160sXvPPXY37V69zuwmUs90nOHSpcGd1flzE7FtC20tq3wxycrrRVLLaFUJoskC+SGSJNTCSEQQ+r17C4dsJEkoJD4fCf19tWFroAB2lBpYJ3ZUsM1EpXA64doISZ+XOWuck6YhHPZsIjBCBJ9iZCiggyuvi2s1m9d7J6gkMcGFQoKMqNXQ1AxtraBef6ZaMTKKi6ssFCcjW+WoWEc8tGSkJAuuYpZ0h6tXJCBbYYy5H6VZ68Yb8ZbtTZNKSnhn7ejNUQ5/bAS9JcxNT+m276VQbYWcM1i4oV9u/grkN5H6w5/8gNhCF+97T3PV15mJunX+fFCw0dpoKG424/eDVkuPYZ5Xl4po7GlCEgqJnWexc2m14PMRtNxXG7YGSmDHqIGr7Eh55hmkkZGa2VFem4mKJkVh3a5EI0y0qelVtXCK/I7jt/GiDUWQphcFeU8kBUlqWt0MGwxgtYnnSFKJ1DuPR+QsdnaASaiOEhIaZCbx5Z1jDdvlqLgBPLRkZEMseBUbUSQgU2HUsfTukwRVV3ErblqM9jyFRFFEjkjAbcHe5ePwx0Zo3TfPTU/5tu+lUE2FXDhevKFfZv5KLtJNpP72nolQaJJo4mBFjb+K4T6sWtsc1Ks2upjZTDqhTpLo089x0Xek+GKTDtssL4tzFKqyUalQEknicYXe3vqsWI1Qz87CVt+LtGFYXhfwJ3ro+9hHGO44gqOpq+Lj5bWZsPeXXhvCYaGIRMNMtKiwSkXaTEQiTLlHMQfcsKyAerWjZDIBgaB4ztJJ4YoCsSiYLUIRiURgdg52da0REjOa4mTkfnRU5CEmI1AjC16FoihMeGtXJNJYVxibeeniY4zeneF2cokmiwqjVksqJROPaEkmVBiaogwcH+fg+8cIqae57qq87XsxVFMhd8NduKFfbv5KIUiShHZ5AI/kZsw9xlFHmeSrMrjPqtbqj3rWRhczm5GktYS6YfMENnUQd6KZNs1S4WvSaMSuLhgsTEZSKdxJG3a7VPOGrR4iUAP3PwoZhpm1ZmRJJpqIFs1ZqwTpNhPnrp3juus6XZYuWo2tBdcHZWwM9/ICcy06eiUrpzmc32bC6UR54wqx7kVkCWEPkT6WWoZYXDynZrMIrUSjYmAHAkI1MRogHIEFJ+zVgVqDGhUxkigo2T5V96ujIg85GamaBa8imUoy4d2YIpF1HWvxVzsvX9bw4qVRRm8G8UWX0GhT2PuXsDq8WPdNkbLMcitaW9v3YqikQq5YQ7/c/JViUBRIJTWYdXpmlmfot/dj0ZVIviqD+6xqrWJUlMlf79roUmYzVitMT+No8nK8+R0ueJ7Crg4gS/n9f5Ak8adIRnRyJc6c2sHJ0q1/CqLeBnkN3L8oahiWg9yctWo2bVltJmYuM+oaRSNrMGvMqFVqEqkEweVF4q5R7GYDJ6X+wm0mVkM40twc2l0qokYVJDOvdZXwr6yIMI1GK9SQQABWorDMeggnFIJFEQZNkMKENpuI3K+Oiqt4qMkIVMmCVwf3XGDjikQhOBzwi5+08IuffC/zgXnemr/KpG8qS37stZ2oue17MVRSIZdu6NduWrfPz81fMTTlmO5kQDT1S6BVGYnE51gILmyIjNxnVWtFUVRmthYujd6U2uhSZjN2u+g1oyican2FsfBeJiK7OGCYLnxqWRaycg6UlMLEcge9x6SqN2ybapDXwH2FkoZhOcjNWTt75SzPHnu24jk7q81EzjNq0poY9mroXXAzvO8pHDTlHyAchmvXBLFIpegJa3m1uYDBpawS6kgsBga1GNxNFkFE4jEIBoSaolsNg7bYCWrjDLM6L9yXjor5eOjJCFTIguNB4sn6KhKl4LA4OFnHtu/lUK5CLrOhX6H8lY5eV9lzWB1+pq/vQWVW4YuWSL6qAPdZ1VoeapaZ610bXc5sprNTTIThMHaTxOmO73B27me5Gemm3zCbr5BIkjhmhmSVTElMzJuxmoOc/k1LVRu2LTHIa2BbUam6WdIwrATSOWs3PTc5d+0cz594vqq522FxZG0I1ubiP/kTWPGDVICIANy4ISQ9jQYSCfpCOi6q4vmhFSSRrJpIZP/OYhFERKOB1Gp1TCyG4nQSb1PoDSTAPXafOSoWR4OMrKIsC3YM112RqAabSUTSKFUhNzufJB7vwL1oy8pfGTxxo6Qikgl7l487V/ehk7T4IrWTkfuwai0LNcvMXc8wtBldDUuZzVgswg9hfBwMBobMUzzb9SLnnB/jemgfXToPreql9cUkvbKsklbRO8NMrzLB6V9KMPRTlfs31CoCqVQ1GuQ1sCWoNe/nhRsvMOmd5FD7oarnQ0mS6Lf3c911nfNj5zlztPZOjWvnLqUoBgKig7XFIgawSsWwV4stpsKtS9G2kvP8SiqI56gmkiQ2AikFdu2C2AosunHLK9hpZli/D048dh85KpZGg4zkoCgLvo+wkTyKwv4BCoozjs4UY/eee9i6fHT2zxdNVi2Gzv559JZBVgJNaG2Rmr/b+7BqbQ0bkplv/SHPRlYY2v3+jV1Ebm10ObOZwUHxpXu90NLCkHmK53Xf5Lz7BJeXH2U01INGlcQsR1CvBEmorQTdraJ3hj7CScsrnDo2jf1/e66qy6xUBAoE8j0LZRmamuDuXfjGN+C3f7uqUzewCdhI3s9cYI5L05fosnTVVPkIQiHpsnRxeeYyJ/trq4BcQzlFcWFBfKj2dsG+ZBlHRM1xl44LuyPYYypkJWNQSwDK6p+M36eTwmMrYG8hqVYxZwhx8tRzOB5/sFpfN8hIGVS9WG5DRuVmVBhk+wdI/NZ3/ppAbHnN0KwWWFqCdD86zbVXurE0x2siIvdp1RpQB5l54m851xrieSmanyhXDXJro8uZzRgMcPiw6L7r8YDdjl0T4IzjJU7aL3M12M/taBdTkU5iJDBZEgzvuUdvs5vh8E/Effpfn61KnihWbZyJVcNLpqfFvC/L63m4iQTMzoqw/b//9+KjffrTDYVks1BuY7HRvJ+RhRF8UR9D7RuLubUaWxl1jXJ14erGyEg5+2qvd33gZjxXp+4aGWuOM9GU4MCSej1co6weM6+v12pSeCSKgsKEJkhvwsKpwU/Wfu07FA0yslFsY63hVlYY9Nrq00Rq8MQNbt5QEXcfQBnY5s6fW4wNy8zLGq4bVjjPGGfK9aUoh8za6ErMZjo64NgxkZCX0VzSofPi0K32zgiFUBJJpA99UFQHzM3B/toS6opVG6fhdK6/xmIRG9BCX2kqJVri/NVfiUf1Ps3t23GoJvG6Hnk/t8O30craDV+3JEloZE1VXdaLopSiuGoWuFZhlhK5VfaYzOnbZs4eDHCzOUH/slooJEpKVNJkYI3DyLLwMcGDNanhNI9hN7Zs/Pp3GBpkpFZsc63hVlcYbKSJVOZ79JYwu5/+Abq3HtsZnT+3CBuWmRUFOanQhbGyvhTlkFkbXcRsJi/RrqMDTpwQA2lmRpASWRYqiySBx4PU3i6qbzaYUFeq2ni1WnJNBVeV6KCgUgm37eZmoZQ0klo3hmoTrz/Y/nOcO2erufhr5HqE3/ujeRaPfg+/apJJ3ySyJGPVW7Eb7HSaO6uuyjNrzPUhI8UUxQyzQEAoi0vr3jxDPi3P3rBwri/IdWucrrCK1phCMN7Fwsx78Ab24A92k0xqkeUYavNtEi2TPNYW5ll3nKEnntj4te9ANMhILdjmWsPtqDCopolUZidff9RPUkmuTSCyJNPR08SZE0Yu/I8d0PlzC6AoysZl5lUDstYVHaNESvelqAS5tdGnTjF/4wpX5/6e27tNTEl+YiTRItODlT7sDNOJw2Ap3FzS7RY38ed/XtygDSqCxXIDw2GhiESj0NJS2eKm0Yi14MknG0mtG0Etidd/+Z8tJG9+jPc+3lyVCppuxHlXNYNrtJ1k5BD2942TTCVJkGB6eZo7/jvo1Xq6m7sZbB2s2NVZrVITS8Y2ng9YTFHMMAsERBKqz5dFWoZ8Wp5/u5nze8P8vVnPT/yfwO99H8qKHVmVQNYEScgJUik9KtcTWGc+SGjezmtcYdfJAR7EodsgI5UiPZC2udZwM2wmKkEl9vmFOvlqZWHMkyDB3aW7+KN+eq29TPb+NZ997ue4+G3b9nf+rDMKSdjvuN5haWUJg9pQ024OAKsVaXq6aF+K/JLBEsiojfZGvJy/c55Lhxbx3ZhGG0hittjFbpcErzLNRe5gQ89xuoW5U7q5ZFqyeuwx+Nzn6sIUS+UG3rgh5vViYZlCUKnEZUIduj4/pMhNvFZJqqILeTrxWhPay99ca8NguIo7MkiHuaPg63OR24hzd5fE3emn0ITfwNIeW3udoiiE42HGPeMshhc50nGkonMkUglMWtPGCxNK2VevmgUC2ZNaRhNJe0zmyeuP80bwH6LX9bHb5ibefJOUSkFWJGwJNbaUms6oH7PJjjtu4ELwOGMXBzj9yP23KSuHBhkphkK5IMmkWM2TSXj88crLKzfKBDJQb5uJalDKPr9YJ980FEUhloyxt3kvB1oPrJerfuI0J08ObX/nzzqglIS9GF4kHA/z1vxbNe3mgDUDMjN6JvExT4CrLHAbL1MUUTIKqScZtdFZu922Lob07UhvXwOXSMZQjAYkVCgouAlzgXHGcHNaeYwht7wpklWx3MDMaslSoZlcpFLrIZ/7qevzToEn7OHs62cZc49hUBv4/uT3s9TOYuGSxcld6OKd0PIuI84RntY9XXa8F2rEqWgiSHN2lu/00dI+tvZaSZIwaU0YNAa8ES9X5q5wrOtYWUISjAcZdtSpFK+YfXWGWSA6nYgTejyClKy+ZnRlgLP+T+HHxkeaF5DjEvjt2ZsKRYF4CPQ62hLz2A81MeE3P5DhxgYZyUWpXJB3313Xjy9eFP4Lg4MiJlgOG2UCVFZhUA4bmYyL2ecX6+SbRkpJ4Y140av1HOkUu5cuS1eWK+Izz6w/VfejxXspCVtRFIwaIzq1DrPGXNNuDhAGZAY9yWiYq3ofz/MD/KygRcaMFhmpuJKRWX2zWhs9ulefV2YcUAdYGNqF924A/9JdkuE4sqTCigE7evYmtMymZjibmOfZ1DBDmyRZFcoNzKyWrAbxePY4b3R9rhzeiJfnvvscP7rzIwxqA2pZnaV2lgqXeOdsyJoUdqMdV8hVtidVsUackgR6rUx0sQtFeTdP0VBJKloMLXginrKkR1EU4sk4vbY6mRQVs6/OMAvEZBKDLhwWJWAGA56klXNLP4sfKwesTiT1evJqlroZjwsCsyoRy48e5ID+wQw3VrG/eAgwOgpf+pKQ3fR6QTsPHoTduwUBCQbF7NXRIQbI+Di8/LLIqKsEmUxgPr+7bTmkqwdaW6t+axZaWwXnunq1+vem7fN3Ne3iuus600vTXF24ujaBZPetUQjFQ7hCLpp0TVm7lnS5qj/q59y1c3gj3rX33Y9E5OyVs8wuz3Ko/RBtprasCVOSJGRJXotRm7Qm2k3tBFYCXJm7gjNY4fixWHA6mnmDeaaVJQxoGKKdg7SymyYcWNhNEwdpZYh29Ki5wDhf4hVGWT3Ham2059ghzs1eWCszjiVjvDX/Fj+c+iFved5huglWutpJtrawYjYwrYvwltbD3xvdhFqbcPY5OPfT7Xj/8ebEzvr61vNr00hXS1ZbgZVMitB+Go2uz5Vh1DnK53/weX5050dYtBY6zB20Gltp0jVh0Vlo0jXRamyl3dSOWqVm3DPOy/deXhvP/nkrWkMMlaTCorUwszxDYCVQ9HzpRpx2gz2PcFjMEop3H+FEuOB7JUnCbrDji/gYc48VfA2AO+zGbrAz3FlHk6K0ffWuXWKzubgo1ovu7jUreDSa9XUjEOAF3weYVHrot7qRdEWqhBRFVKWpVEIOPHIEDIa1fe3kpNjXPihokBEQNz2dCzI7K2IgbW3Zs156W2Y0it+bTGKLFgiI1P5KCckGmECpCoNqUGoyzpz8iyFtn39y4CQ3PTe5t3SPlJJiObZMIBZgaWUJd9iNK+QimUoy0DLAiT0n8hSAtCvipHeS82P351OV6x1SrFLGarASS67Hu9O7uWgiyohzhEi8vIutM+jkisnPslZhf0hHG8aiOSISEm2YOEQ7syxzliuMKgtrtdEvPCIx6Z2k396PK+TilXuvMO4ZRy2raTe1i0XH0oqlfTdN3ftp7R2ivWcI9Z69TDQnmDeluBoY37T7lpkbmEa6WrIahMNCuOzszP79Q9/1uQzSBHtscQyDxkCLsaVkjkguwV4IOEkm1EgqUdJq1BiJxCMsBBcKHqNYI840dFo1RtnGcjRASinQpBHKkp5kKslcYI6ndj9VfxfttH31yZOCQIyOChKhVos1xe8XqohOx5y0i0upJ+kyLSFri0jciiLWFmXVffXYMUFmVrHBfe2ORE1k5OzZs+zbtw+9Xs+TTz7J66+/XvL1X/va1zhw4AAGg4Hu7m5+67d+i2gxs5itwPw8vPSS6C3w3HPw678upLbXXxcDKFyAfRfalqlUIqU/GhWyRYEGYXnYwLaslPtwtUhPxrlfxW/+pvj5J38ifl9soNsNdp7pf4bupm6Odh5lr3UvelmPLMnoZT17mvdw1HGUD+37EEcdR4vKppmuiPOB+++pSnuH9Nv7SybE2fV2kqkkSgbbq3Q3B+sSdkSJY2pupUW2gNsj/AlKQEbFAVrwpyKc813Ea9Mz94vPcMn7Nl2WLtxhN1fmrrC8sky7qR2Tpnhin6RSYdKIRScYD+IMOXlp4qVNuW/p3MC5OaFs5FZLVoJUSsznu3eLjWUmMiubG8hGJsE2aUyoVeqKkj0zCfY11wiKKoqSEkuMJEmoVMV7UqUbcRo1xoL/n0qqaLM00WK04414s56jTBQjPYqiMOGdoNfey6nBTTIpSttXf/GL4ueHPywqzwwGsTZ0d8N738vIU5/BZ+2hVb0k3FXDYbGGrKyIn6GQkMBVKpEY/lM/lUVE0tiIwr0TUXXOyH//7/+d5557jj/7sz/jySef5Gtf+xof/ehHuXnzJu0Fgrn/9b/+V37nd36HP//zP+e9730v4+PjnD59GkmS+OpXv1qXD1ExiuWDTEyILZjJJO7s2Fh+PkixbZkkiUHocon3Ha3AjKqGbVk59+FqkUyKj/r88+sfrVqblJGFEVaSKzze9XhWfkS1Wep1c0XcYlTjHdJp7kSv1hNOhDFpTGu/z9zN9dv7i1bZpCVss9ZMSq2js/MQvDORZUCW794IoCCFw/QHElxvSXL+iR66bCv4pnz02fp4dfrVvBh9OWTG6Eedo7x892V+8dAvVvTeapCbG5hZLVkOiiIed7tdPMa5eFC6Pm8GMs35vj/5/arMxtIE2xVyoTaPge99a/+nVRXvSZXZiLMQ4hEtjv1B9nYc5srcFTwRD3aDPU9FKUR6kqkkE94JrHorpw+f3tQGp2u+PZnJSG+/DX/xF2LOt1q57d2HtqUJybJPhP4jETHpplLij0olZI8nnxTJU0XwoIUbqyYjX/3qV/n1X/91/uk//acA/Nmf/RkXLlzgz//8z/md3/mdvNf/5Cc/4X3vex+f+tSnANi3bx+//Mu/zGuvvbbBS68SxbxBAgHRlrm9XcxOiiKY6vi4ICiHD4v/K7UtS8f0ZmZEMC93G5aLzG1ZhbNhOffhauB0whtviGM98ojgXbXYpNz2ClfE3PyIalFXV8QtRDXeIRadhe7mbsY94xjUhqxJ1Kgx4gq5WAguFCQjaQnbpDERjAUZaBnA4ugFu2PdgMzpEq3ItVoxHlOp1QqwFBgMyP0H6NrXzmWm6ZkXSYg3PTfxRrx5lU+VIL3o3Pbd5q9v/PWmkJHc3MCmJqF4l0MqJYiIXi8e30L55fd71+fNQibBVkkqkkqy6rGRJthey3VUK8fXprn08QptWPxRf1HSoyiQTKiwdfnoMHdwrOsY15zXcIVcWHQWjGpj1vHSpCftdzIXmKPX3svpw6cZ6qhz+UklDtyPPZbVgXTqVhJzwgmaqHitWi0qbpJJsanYvbviwogHKdxYFRmJxWK8+eabfP7zn1/7nUql4iMf+QiXLl0q+J73vve9fPOb3+T111/niSeeYHJykpdeeolf/dVfLXqelZUVVlZW1v69vLxczWXmo5Q3SG6KfjofxGAQM9qVKyJeV25bZjSKXerCQnkyUuO2rFw/s0qQdq9cXhZEpJj7N5S3SZnyT2HW1iduVDdXxC1EITJWCoOtg7jDbrwRb061QHkJOxKPoJbV2A12BltXt/oGQ2EDsmRSWEt3OoS01dkJFgutisKoaxRPxINerRcxel3hGH0lUEkqmrRNvO16m/nA/KaoWuncwHPnRNO7cHh985iL9D4iEBBj9vDhgur2fd/1eTORSbDTideJVIVyVAaMGiN+xzVSYx7CSyZM1jApJYVWyn9eFEURpCdX2VtlMeElI4amKJ39IhzYYe7ghO4EY+4xZpZncIVcyCoZjaxBJakIx8MEY0FGXaPYDXZODpzk1OCp+ioitThwnzmD8sxJYr+xguwLQCohnlWtVigpGc9qpahhX7tjURUZcbvdJJNJOnKe8I6ODm7cuFHwPZ/61Kdwu928//3vR1EUEokEn/nMZ/hX/+pfFT3PV77yFX7/93+/mksrjnIuYcVS9NP5IB6P6MdhNIpZrhgkSbzHV3hByUKN27Jy/czKIe1eGYkILtRSYXuDQjYpNpvwDZGl+sSN6uaKuIWolowZNAYOF5GZS0nY7rCbcCJMu66dwx2H8/Nv0gZkaRQZIJIkoVapWQguYNKYRCm2rso62dzPpDawtLLEW/NvcdJyckPHKoZ0buA3viGa3s3MiMdRo1kXgeJxMa8bDDAwUHpjeT93fd5s5BJsq8HK9NJ01ceRJAmtzY3Uc43AjY9isESIpWI4DPmEdY30xMMQjK2HLRSFlCITWDrAwOMjWLTzsOqbY9AYOOo4Sr+9X7g9R734I8LtWSNraDO2cebomaweOXXDBhy4paEhtAMQXQZ2D22YRTxI4cZNr6b50Y9+xJe//GX+7b/9t7z11lucP3+eCxcu8MUvfrHoez7/+c+ztLS09md6uvqHYQ1pl7D+/sJ3rFSKfjofxOsVBCKdSVcMWm15MrKBbVmhCoNqkHavNBgKVxiUQm45mSRJaGUtSSVZ28XkIJFKVKUybDfSJm7VkrG0zNyka8IVchGKh1AUJUvCzjzHYmiR277bNOuaKzJ0AkrOTBathWAsiD/qLxmjrxQKCmqVmin/1IaOUw52O/z2b8Nv/IZQO3btEmEYWRY/9+wRItGHPrSeM1gI6a7PTz3V8BgphFyCXSjxulJoVVoMQ9/G3uXDO2MnmUxh09vyXxiJYHUHiM3PiLDH8jIkkyipFF5PF3bNBIPyn8PFH8Jbb2UVClh0Fvpb+nly15N8dP9H+fj+j/No+6P83CM/xzP9z2wOESlVdZmJtLR86NB6Y6TRUXp6xHKy9poNIBh8cBS+qpSR1tZWZFnGmVPG6nQ66Syysv3u7/4uv/qrv8qZVZOvoaEhQqEQv/Ebv8Hzzz+PqoDeqtPp0Ol01VxaYZRzCaskRT+dDxIKiWOkTWyKvTZNWIodcwPbslLuw+WQdq80mcQAHhioSg0E8g3Teqz16eQLdXZF3AKkyVg0UX0STyGZOZqIYtKYWAgukEglCMaDxJNxbHobe5r30N3UXbk5WgmoVWrMWjPOoBOTtsg4rgKxVAy7wb5lIbZPf1qsV7OzglBA5fP5/d71ebNRiGDnJl5Xo1yqJBWS0cdjH73KK996jJirh7a+nHVitf2yPeznjkVCMZuQkEilVHi9u9Bbghw+9vcYOnQQTsLEOLgX4fCRwjE4qK+pWSY8HpRz30DaYC+Ovif+NRdjlg2HVh60cGNVyohWq+Xxxx/nBz/4wdrvUqkUP/jBDzh+/HjB94TD4TzCIae7gm52XV05l7C0P3S56zAaBckwmdZNbAohlSrtylSHbdmpU2LwTUxUV5a4sCA2FCsrxSsMKkFmOVmfvW8ttLIR1N0VcYvQY+0hGAuWf2EBpGXmdOmzzWCj3dyORtbQrG/mxJ4TnDl6hv/jp/4PjnQeQSNryh+0AiRSCex6O/FUvPI+NkWgKAqpVAqr3lqXcVAJ0kmtVquY24s9irlId3K4X7o+b8V3mYtiaqdW1nJv6R4TnglueW9xy3uLmeUZPGEPK4mVIkcTzsuyJNPWs0DHh77F/r167k5YWFxcnbvSCWyBAJ3Nu9GrdYSUOKFQMy7XPpqa3Bw79iIdHVOABMZVb6fl4t5O9TY1mw/M89LES/zJa3/Cc9/4JX5z5UWeG7jDn0iv8xITzFMidJ+JDGl5ePpvNqRwp/GghRurrqZ57rnn+LVf+zXe85738MQTT/C1r32NUCi0Vl3zT/7JP2HXrl185StfAeATn/gEX/3qVxkeHubJJ5/k1q1b/O7v/i6f+MQn1kjJpqESl7DMhkbFkCYtFov46fUWbhkaixUnGXXalhVzHy4Ht1uIOu3txSsMKkFmOdnPnai8k2/Ja9sMV8QtQJ+9j4t3Lm4oz8Wis2DWmokkIpw5eoaP7/943rHqrUAd23WMW75bhOPh2hr2rSIcD2PQGLDqrVsaYstMat2urs8V3fMqtr6FmitqZS091h767H2bk/tQAOmxltn0MhQLkUwliSkxdLIOSZFYXlnGH/WjVqlp1jXTamzNI8yxVIxOfScT3gmGj+zis/+4m4vfFsrq6JsraCbmMMeNqG0dJAIy6riJ2WSEdkOMgYHLDA6+gsGQs9hLKmhtER4710bgxNNrk1na1OzkwMkNf1d5faZiSczOu8hmA1FVrHzLhUJYlZYdNy5y/JGTXPixtWqFO430vvZB6q9UNRn5xV/8RRYXF/m93/s9FhYWOHLkCN/5znfWklrv3buXpYR84QtfQJIkvvCFLzA7O0tbWxuf+MQn+NKXvlS/T1EMlbiEZTY0KjVxaDQiVHPkiGDlHo94b/qzKorYpmX6TqeR7mxap21ZLZPx7duiV1OOkV9NSJeTVdLJtxzqOYFsNYY760vGjnQcKbjA1YP0wLoCNewY5rrrOi/fe5k2pa2mapqUkiIQCzDQMkCK1JarWumk1tVqyU3v+lwRWQhSvswzZ+Uo1Vwxmojy6vSrXLxzEZvexvHu4/WvCslBn72PF2+8yF3/XXxRHxadBYfFQZO+ibnAHIlUAoPagCRJYjyl4ngiHsLxMB3mjrV8E0VRSCaThONh9lr3cvrwafo6bPSdEffi6v95kdv3ppmyPUIspWDSRvl5h4fLtldIdb7JEUupDtQStGR7O9XT1Kxgn6lbtyAoQ0craT+fvOaRHGaIMpPramOkU7uvMNb703n99SrBgxpulJTt0AOrxPLyMs3NzSwtLdHU1FTZmxRF2InmdsnKRSAAP/yhmMGK5YKkXyfL8PGPi4fg2jWhkKQNp8JhQTo+9KH1ZIzN2patIl1ddvmy+HuxydhmE3Njd3dJD52KMT8vzvUnfwK+qJcvvfIlZpdn8zr5loOiKNz03GRX0y6eP/H85poRbRK+/tbXuTB+Ya3RXDUIrASYC8zxzuI7dJg6ONB6oOBueD4wzxd++AX0av2GSM9iaJGV5Apf/NAXefnuy3zh4hfQqrS0Glurvm+eiAeLzsKJ7hPc8t3izNEzPNP/TM3XthEUs3ro7d141+dSZCGpJAnGgsQiQWzzfo7PwKl5K3bZvF7mmUyKBzEWy3MQzF30it2HLfHLWMUPJ3/IZ1/6LMlUEofFkUVUg7EgzqCTSCKCTtatObMqikIkEUGtUtNl6cKkMeEJewjGg3ys72M8+8Sz2dc7Nwe/+7si87itLWsfOIqTs1zBT5R+7MilMgnCIUgkSX7gaSbiC1j1Vp49ln2uavMy0jb4/qh/rREoAK+9JhT0AiH/JCkm8GJFz7McK09IxsbgxAlGP/C5NceJShXuzH3t/dK1t9L1+8Ht2lupS5jFIlbp8XEh9xXrTZ7Zh7yjA06cyDCccgqykk6T9vvruy0rgrT78MmT+ZOxySQm4fRk/Ad/IJLU64HMcrJinXzLYUtdETcRpwZPMeYeY8I7UTEZy5TAF8OLmLQmOs2dxJPxorvheitQT+99mqG2IW56bhZ1syyErA7MHUcIxUPbHmLLNbysl+dCJllwmLM7Ma/B6UQZu4N72ckFi8TYI0lOS935C1JOmefoJ9/LWf/3sjomF4MkSbSZ2rAb7FmdrutNSDxhDxduXcCitbC8kj9ZmLVmdM063GE3yyvLhOIhVJIKWZKRJZlIPMId3x1sBhuxZIwP7vsgX/7Il/Of7XQu3+pKmvmVDtHBsxzjHNe4josuLLQW6cGkGA243TPM3XmN3sH3cvrwaVpTQ7z0UlXiVNbnz+wzlXWvS1Rdplsu3MTDOa7xPCdKh2xWpeWhz21/uHEn4cElI1C5S9jgoOi0WCwXBPIVlrTh1P79ws60q0t0+FWp8pnAJgf1KpmM62GYlkauTUq6k++5a+e47rq+Y3Z5W4FqyZgz6OSa8xreiJdkKkmHqYMndj2RVymT/p4ujF9gzD3GJw9+smrSk3msXAnbYXHwzMAzLI0uEYwHhZul1oJRYyx638LxMIFYAJvBxpGOI7QaW7nuur7jQmz1ICI/fHuM//v837Nw7xDa5VPMJjXI6gRWhx97l4/O/nksidtw5QpSNEpbSzd2CSbwcpYr+TvkDAdBz+R1zv319/EfcHCg78mK72W60/VNz03OXTtXdzUxbQP/gb0f4NWZV/PM+QA0sgaHxYHdYCcYDxKNR4kkIiiKglFrJJEUBmkf6/8YX/nwVwpfX5lcviE6eJ4TnGeMy8wwigsNMmY0qFGRIEWQOHGS2NVwMt7Dhx79Ahf/1laVB1nu3jDTBj/rnqSrLlXF75OERD92ruPiPGOcoURbkAynsqEhaUvDjTsZDzYZqdQlzGAongsChfuQw3oW0SOPrGtmO8AKr9DpqzFMK/WaYuVk6U6+58fOc3nmMqOuUTSyBrPGjFqlzipX3TRXxG1CpWTMGXTy+tzrLEeXUUkqWk2tHOk4UrBkN3c3/M23v8lP9/4035v8Xt0UqLSqM+Wbot3YzmxgFlfIhUqlQqvSopJUpJQUsVSMVCqFQWNgoGWAwdZB9Go9Nz03N7fx2DbA64X/9N+CfP1vlvH7jtFsNIIxjqRKkYjpmb6+hztX96E39NOtjjHYdQ3DbhMgIUP5HbIs88L+BJNBD4cm9Ui7olVlk6c7XV93Xef82HnOHD1Tl8+daQNv1pk50nGkZA8YnVqHTq0j/fEURUFBYT4wj6yS+cVHfrH4s11BLp8dA2c4ykn6ucoCt/EyhZ8YSUxoGcZBLzaGQyncbw/zb+dtZT3IUikFj0cq2N6iZJ+pdAFDmcZIMiq6sHCZGU7Sj4MiyeE5TmXVKNwPSrJqITzYZCTTJayU7zmI0MuxY0JCzGw+Jkn5fchLaWY71LSr1FcRCOS7icuyiEva7dkOxaXKyewGO2eOnuFk/8m8ZD+T1sSwY5heW++WVQZkYZNJYjkyFowFeWP+DUKxEG3GNrqbuxlsHSzazTiNzN3wT2Z+wq8M/Qov3HyBUecou5p2bUiBylR1/FE/T+95msXwIt6IF39UuFlqJS0OgwOb3kanuROLzkIyleSm5+Z9H2LLRdpY84dvuQlpPPQc0COr8jtxKwqEb4UYnzuG29fLYc13V8tPy++Q5whwSZqhy9yJ7FqqvLlmBjI7XZ/sr48qldtnKW3ON+IcqUo1azG2YNaaiSaLhMer7PjpwJK1qCtkJ7aO+iXOjj2F/1GFQ4ekrMMGVgLCnTVjPMuSTJPVxhs3drP4tWb+3//SxNBQBX2mKqm6BFoxMoqLqywUJyNFHLg3K9x4v+DBJiPVuoR1dMDTT6/ngrhcYjSEQrBvn1ipZ2buS82s0FcRiYiPOj0tpExZXldPEwnx+zt3RJ5Zd7cwSquknMxhcWRNkNti8V5JA6s6bzNKkTFXyIVe1jPcPcyupl1VldRKkkSnuZOf3PsJc8tz2Aw2llaWuHX3FrIk06xvZpdlF026pqoVqExVJ51Iud++fy0xMfO+pR1hH5QQWybSxprzi2FSrW/TqpGRC+WPrawg+XyYAnMYDAreuT6ueD7EsSEnHbumwWxG1uqK7pBHWMBHlCGpHSxS5c01c1Btp+tyz2ChPksd5g6e1j2dZc5XiWp2Z+lOcRO8DXb8zCQinrCBc2OH8cdNHDgorS3cmTlZ0UQUWSWLz4ZEggSzsXsk9FNMj/ew8H/p+Xf/V3f5PlPpqksUCnfHXr8+DTKTFHHirsKp7GEiIvCgkxHI70Ne7g5nNh+bnxce6gaD+HdT032tmWV+FVarKAjy+cQ82N5ePHEqHBaeJjdvCr+2asvJtpSI1NLAqs5kMpeMzS7P8nsXf4+BloGqq2EyJ9allSWcISdP7nqSgZYBOs2dzAZmWYourXXfPdh6sGoF6mEOsUF2+yqTY5bYQgSrJqdnTzwuZMHlJfFArKyg0mhosdzCE9jPtdF/wInEVzEYF6Gpmda2FkbVwbwd8m28aJHFomo0im7LlTTXzEG5TtfV+pYU67OU1wOmjGoGFTS9rFMC2ws3DjLps3FoKLk2dzmDTkacI/giPixaS9GO1IqiEFS7Gb1p53/9v/+OzqevlO4z1dkJBr2498bSzsVmNMXJyIPmVFZHPPhkpFaXMKMRUimUY08gfe5Z0V/gPqeqdjv82q8pfPGLEt/7nuha3d5evIAIxEc2GNbmX8JhYcW9I8WgDTSw2szU9GvOa6Ul4CLITHa16CzstuxmMbyISlKtEZ4DrQfWQjKzgVkMGgMf2PuBqhWLHR1i22Sk21cdOgRvzHvze/YEg+BcgEgUdFqQ1aBOglqNBNib7+HyH2Bs8RRHe74JHg9SOIxml5ZJffaiNIUfM+mqDAnkCptrFkChRb8W3xKb3pZnA58bIrDoLFlqXimlpWzTy412/ATmAhYuTe+mS+dEbukHxPNyZe6KaABpai9ZHSZJEhaDkV1dcOvtNu623+OxvjZ2N+0u/AaLBXZ3Czt6g0GYrxWBGhUxknkhpQfSqayOePDJCFTlEja/bOLquInb9zRMaT5MbGAI7TdaNlPd31Tk7pCWfRre8f0cgcR+VhQt2qCWZou2pCqSbsn+2GNi95ju3LujCElaZ/f7xapSinBmVDYwMSHet4lF+2Ul4AIoNrGqVCp80ezFq56lnzsixLaFyG1f5Y/60coZJZzBoHhRZtJhIJg1d6hUKSzGBWYWj9K/+yIWkwsiEcyuCJOts2AUr1NQiJFEzlygKmmuWQS5i35Bs64S+UTpSq3Th08T87dw94ade/5+/PNWkgl1fvVQy3rrg1JjIpFKYNKair+mmly+IhhZ6MS3pGKoOQGdnYTjYUacI0QT0bwKoFIwWaOEvJ0s3+vnRvNlem29xfO4BgdFXxyPV7jAFgnXJEhhQptNRB5Up7I64uEgI1DWstEb0nH+5iNccu3HJ9nQtlkxH9yFbNQTXd4Sdb+uKLZDmnj1acJBNbbDP2ZptpNpXwdOXxPNegsGvRqVSiGVkoq2ZG9rE3zu/HmRAb4jkKmzb6CB1WYxrGISeDGE42GuOa8VnFi1Ki2+SOHFazNKPx9kIgLZlheKopBUkuuLSDwuFJFEAowGxOKjrO7os49j1Plw+Q+w4H0Uy+5FMBpQJ5aJeZwoUhjJILwytMhEyajKqKS5ZhFkLvqZZl25viW5hDKTvF6/O8fn/ucI/ol/gMebwmoyoTXE8quHLIN0PzrN4IkbGJryk3ozUbbp5UY6fq7itrsZ7UoQqXs3WCzcmH8LX8RXNCxTDJIEsjpFU+gIvui3GXOPcdRRJKHYYBAN+q5cEXb0LfaCCkmQOMNk7Fjr7MD9oOLhISNQtIZqdL6Vc+PHmYzvoWtIZmigBakpP4a7xep+zSi2Qwq4LSzfPkRbZwKTtYlOWwi3/12cCxKLERuqsB1J0SDLgnR1tGg4sK8ZR8v6QprbuXejKlHBObjaiTlTZ6928Uw3sNokhlWoE2o53HDfWMsByZ1YVZKKpJIsqlhsVunnpmGTSwbKHT7b8kJClmQSabLgdovQjEmU7gpI4sWpbONqSQJZlcAX2LP2uoReh2l5BWnxxlrFTA9WXiWjKiOVAk2Z/llFkF70c826grGgyO+IevFH1qtIrAYrdr19Lb/DfcfBwnc+xvQdDRrrIoZdflosjrxxpSgQXjIyfmkA9902Dn9shI5eV8FrqrjpZbW5fDkXNHUHzDYNDA4SWAkwvTSNRWupqbWBxhAj6duHVqVlemmafnt/8QTzdNXltZHsqssMi/g4SXqxPRxOZXXEw0VG0siooRLqvoK/X+JQmXSSLVb3a0KpHdLCrU6iAT3tvS7iyTjusJul5BLYEyRScTSyhlZjOwaNnlgyhjOVZGlRT3csuwx1tb0CV69WT0YKFrnEg/RId+njNsOpN3FoPZVXvuTq7LWg3gwrA+lOqNFEZdUDaxOrrvDEmlJSaKXSIZ/NKP2sGzZa5VSGXVR7+FzLC6veyvTytEiQWl4SOSK551Orxf/nQKMO4wt2r/07qE4xnLBkVcz0Yecid9bzCWIx6Kz+/mQu+mmzrj5bH1cXruZXkUgSiVSC6aVp7vjuoFfraV56P/5XPkYibGLfgJuFsJeVZIxwPIxJm52gKUlgsoYxWCJ4Z+1cefEYx372SkFCUnHTy1pz+ZJJlPEJYuoPIg/2g8HAgmdiLZxZC1RyCp3UjFbbxNLKEgvBhdLVbh0dokHfmgO3S+T+aLW41SvYlSTDcwGIjN53VZfbiYeTjKxiXd2XNkfd3+JC8ZJ2xoB3zoasSRGKi51TNBFFK2vXJp9IIkIwFsBusNGka1rzDxj3jLMYXlwz6JKk9c69laJgkYsminxviuj8Iq+GVVykA5vxIxx3THFqz5vY5yqIjeVYS9eMjTCsMqim6276vrTrCk+ssVQMh6H89VVb+rnpKFfl9OMfF77XFbKLWoqobLZ8ywu7wc4d/x2USBApngBzgcoJjXq1NDW7zFMlJUgmtSgKICnEpRS9qWZRQ79aMTNMJzb0uAnThhGSRZprlkF60XeYHfzVu3+FTtbxk5mfrCU7t+uKV5Es+zW8/d1hVMEAe/vcqNVmbHobzpATX9SHQWMoSIRVskJLtwfPdAvXvnOEE7/ySlbIpuqmlzW2X5Z6e9HqDhHVtgAiJJ2XdFwFUkkVBpOKNtse3px7E0/YQ/9qUmxRZFZdrpo0Jf1e5qQlTib7cBz/mZ1bdblDDUweajJSd3V/G7wtMlHUzngV/nkrCbV/rfumSZOdZGZQGwjFQ7jDbhyrcq1Ja8KgMeCNeLkyd4VjXcdEd05z5WSkYJGLy7lOJJot4DCikMAdNnLBeYyx+H5OHx5hqN1ZOjZWxlq6YtTCsCpENV13vdHiE6uiKKRSKWz68otXudLPLUWhARAMFnbaW1yEd9+FV14Rk/m9e2XZxWj3M5xbfIbJOUPVRVS5lhed5k70aj1hnweTSkXBJEWtdjXXI5XFZFKKGq0cRpJgUZPAntAwHDSDHFhLUnVg4TjdXGAceziFnGmmWCEyF/354Dx3/Hfwr/hZSaxUVEUSfvtnUC31IbWPMR9UIUmiuZ1erUclqQrawK+/H+y7vLim2hl75SBHT15d/W5r7JpbY/vlnv9iX6sOzks6rhLxiBbH/gUGWweZ9E0ytTTFk7srtOm3WMBiEZ/fc5Ney/s59fTzsJPK3kusS0pvH9LRnUGYHloyUld1/0dRTvr/CsfYD7fN26KknTFiIo6uKHhXFlHUCYwaQ97Dlg4pLK8sYzfYhd0zIk+hxdCCJ+JhxDnC07qnUasN6fYKQPFFtmCRi9MpksCi0azaYgloM4WxGyJMeO2cvXKMZ49dYahDKh4bq8BaumJUw7CqwHDnMDa9DXfYXdZnxB8pPrGG42EMGgOd5soWr7J+D1uB3AEQi4mJsZjTXiAgTAbffVcsSidOiDKuIuxi9KaWs39hwq+9waEPdCG3Fe+YWijMarOJtS4Ni85Cd3M347N3Mcjawj1jZbWoi49ExNhdvbZ4wojD/g5JFOZ0K5x0t+CI6UATzaqYOcUgYykXEyszHNgzjFSFx0juov8f3vgPzARm0Kg0FVWRrPhaWLr9KDqrF7VWRyQRwRl0sqd5DxpZg11vJ5KIlGyeqJIVLK0BZt7tpv+pCYy2pY01vazBDz1dHZxK5SQdVwlFgWRCha1LKEKDrYO8636XG+4bDLQMVN9y4cgOciQuIBfOq3Zx1XeA2347UxeaicVBa3ybnqEp+n52iOGnLdvGSx5aMlI3dT/pZPQ1J1dvT+I4qt82b4tSdsYBj5mFCQf3bpkJ+lrR6g+yokqiNgXRmAJomr2o9UJu1ag0hOIhgrHgGhkBQVTsBjuukIurC1dhqZu41s1v/91/LmqoVLDIJRwWX340WrQpoaxSONDi4aanhXPXjvD8iVewGyL5sbFCOvtGkNHAqp4ypsPiqKjr7lo1R4Fzp5QUgViAgZaBit1by/o9bDZyB4DLJZz2vN7iTnvBoHifLIu8jMuXxX3esyf/8BEj5+6dwG80c4BxpLdmQT4mYvolkBlmdTrFpjvzlg+2HmQx9Tpe1Qot6AovdCajeGMiARo1iiKRTKmxWu4xYYzQGzFwyr3abj6nYsau6Dl918rZXRFudmroTyVr7jP0g6kfsJJYoaO5o6J7HLy3n0TIjG73FJIkZamhRo2RRCpRkQ28sTmMa7Kdm6NGNAdfrY8jbxV+6OnqYI8nJ+m4SoSXjBiaonT2zwPQpGviccfjtJna7u+mnzlqpHf/E5y/Mcil6W58UT1aOYXZFEOWkkTDMV59OcnFN6awDe3m+DP2bUlxeWjJSF3UfacT6Y0raFbsTDYPQ9sbxV+7ydmvhbwsIssGxl45yPQ73QSX1IQDaogbQRcmlZBZ8XQQXexEpY2hs7kwdt1D1sZQSaqCCZfJVJJoIsqbc2+i9cVxPHqb5ZXlooZKodd+iclJc3YY7MYNwQKLWb5mfF39di/XXe2cHzvImaNXC8fGNmAtnYecBlbVoBx/STelK9V1V5JWJ9ZU9sSqKAreiBebwcZg62DF11TW72GzkRkHdbkKqmFZiMcFO0gmBVlRFDFWfvhD+PjH80jGCzcOMum1cajdhSS1CBIzMiJaOpRpPpceSm+8IcSYTMsLg8bIEaWDK8ziIYIdA6pcQqKShZIWCEA8QTjRjk67RGjXGzgSak4vdGBPaMRrU6n1yWa1zHPIuo9nn/l1zoV/UvOiN7s8y2xgFqPGWHEVSXSxC5V63bE0Uw3VqXUklSTtpnae3lPeBj6QUOOdb+bT/3CTHHlLjNvM6uAmq43Z2L2qD59KigrDgePjWOwBQCIYD3Jizwk+NfSp+9eROEeNHHU7OPfjI0x6bXRZAgy1u7K/WgvQlkLxjOO+6eXC0jBjY81bXvzz0JKRDav7GTt8c4uOyaUKB+ImeVvkelk4J9u59p0jeOdsWFoD6Lqm0KxoScwOodJF1gajokAqpiPi7CYetGLecwuVUbQFz0QwFsQZdBJJREimUqgVA4P9ujzHwvTE+a3LP2Hmb4Y45OhDlld3iIGAkOctltK2r6uQVQpdlgCXZ7o52T+BwxLMr3ypk7W0+JCFG1gVQrXpQZlN6Up13bUarEwvrZd+ppQU3ogXvVrPkY4jZRvrZX2ccn4Pm4nMOOjKilBESqhhwGopbWSdEEqSeEiXluD11+EjH1kjGcKBs5suSwBZtZpIarcL0lNh8zlZFur/228LzpRpedHR3MWxuRAj2hVchLCgxYgmWyXRasFiIbkcwhNuobn3u+yX/Zye7WIolDG5xOMiL2RxMavMc2hoiOcjH6p50bvmvEYsGcOirTzME1l0IOuyn+20GhqKhdbyyCqxgU+kHPRojnDmaJ3CpBUi/ey53SKlaP6tR4homonaJQxNUcz2IDpjrOQxlOgK3ttN2PXvMhj/D/BtH4qsIm6J0Bt7BHv3yv3pSJyjRo66Ojh75Rj+qJ5D7a7VZ6UAVCqk1hbaPG7swdeYmPoAZ8/qtrRa9KEkI1U2jiyMjB2+OqQQS6orV/fr7G2R62XhnGznyovHiAb1tPe4UMkKvuUImuYAqcUYqZgOWbeydimybgWVNkYiaCEweRDd3jhyk39N3g/GgllJr8shHYrBuyZtZn80YajkXerlug8mbJexBUXSKwsL6zvjCtFqDDPqaufqggOHZWL1lxmVL3Wwll79EitqYFVp1YbVCu99b3Z6UGZTumK7Ybvezh3fHVKpFJFEhEAsgM1gW6tkqvzjVOj3sFnIjINevSq+uFJq2MqKIB25cqVWKx7WHJIxstCJL6pnqD2jvFSlEkS3iuZzra3Q3CzSU7IsL+x2Ou5oeFrpYExyM8MyLkKoUKFFhQqJFAormhTLSj+21jlOm37Er75pxJ6IgDa5Hp7x+0Vfq5WVvDLPjdjw3/bepknXRCxZeuFNQ1FASWiQVMms30uShEpSEY6HsRmyk6NL2cDPq0DD1hVnFHr29u6FQFBHwG/DE0sgL9hQ6xI0ty3RuteNRpcTvonHSbm8eO81o1ff5fD+/45BtQgpCXcqiN0VZXjkNfjBPTh+HMepUzj6nyn4+XckMtRIT8TIuWtH8Ef1HGjxlL9HkiD0ssvFgfZ3uOk/uqVu2w8lGZGkDar7OTv8REqFSRur7oGso7dFppdFeMnAte8cIRrU09K9PgCjiShaQxJsi0Scu1FpY0iSknEMBbV5mUSwifB0P9qBUSRJIp6M4ww6SaQSGNQGUGRSS51oD1/G0lJ8EvTPt9JsNLKSjK4lvRq8XvG5q3RI1MgpJn22nF+uVr783M9t2FoaqKiBVanWN4GA4FpLS2LtmZiAl1+G//pf4ed/Hj75SXGLyzWlSykposkoM8szWA3WtU6o1SgiUIXfw2YhHQcNBitTw4LB9TBZJiRJvE+lyiIZt702tHIqfygZjYK4VNh8TpLEKfv6xGK3ZnnR2Ql6PYZwjKMmB/3YWSCIlwh+oiRRUKdkJG8f+wxx/l/Hlvgp48+ALadCKJkULa8/+1n48IeLPue12PBP+adoM7Zxb+leRa+XJJDUcVLx/ARplaRiJblStlIr8xwbiGpWjVLPXkeHhr97VcHpSaI3pwAJz0wL4SUTHfsXMNtCACiBIOE7UQJeO/ZWJ4ff8wM6OnxAE0lSzBHiJIdwNA8Xze/b0UQkpyojO4xZ4TFWCb00O0P/0/1cn7Rsmdv2Q0lGYIPqfs4OPxjXMuxYqP44dfS2SHtZuF47iHfeRvu+9QGoKAqKKHvB2HWXeLCZRNCC2rycNUglCdTmANGlJhLOfuiM4g67iSQimDTChTKysAt96yzW4R+iKO8r+nD6563ojHHMq0mvY+4xjvr9YoGqEmZNjEmfNeeXq5UvdbCWrqSBVbHWN5GImK9yi0O0WvH3W7fgD/4Avv99eOaZ9Ka4+G7YYXFwfNdxUV7Y9SRWg7Xg9ZT8ONX6PWwG0nHQStWwnMqULMiyWPky/Dqm/FbM2gJkOE1equj3YjaLS8y2vLDQursbabUxmkWlw4JI6FYUWAwbmA800WvzcvrIOwx1hABLNgFKJOCdd8S4+pVfqfh6xMcovXqk1dB2UzuukKugWVkhGNrmWZrI192TKeHSWmmlFlQV1dwQyrWd6uiAkx9p4n/+5DY+pwk5aUKSFIJeE9GRvbTscaNOhEm6Uxg0KwwceouDgz/GaAwAwjV1Ai+92DnF4P3hblkIGWpkfhizCqwSenlxga4uy2Z4QRbEQ0tGNqTuZ+zwFQXiSRW9thqaXdXR26LP3sdLb42w8M5uLC0BVHKm6iGJyU0BWRvD3H2LwNRBEsEm1OZAlkICKSRdkLi/g0DgDksrS6LUVJGJLOxCbQrSdPxv0JlDRSdMUS6nRlKlUEkqLFoLM0vT9KcULFXYoqehVqXyw2CZlS8btJYu18CqWOsbp7N8cUhzs9hkTU4KBTVzo1VsN+yNePnSK19idnmWZn1zVbuxmv0e6onMOGilaliayRVC+r2rJENRIJZUI0upwq+vsvlceigdOpRjeaE8ikaRMM/4UNtMJFIywbBEPBzHrng5qf0Bp1Z+iH0kJOJydrvIDUkn3966tWmN0dJqqE6tE6XInvGiZmWZ0LfN4Rs7kvUspYlNi7Gl4kqtCqOaG0albafsTQY++v42fnL7bfxuA+qVNlaCRsJLRpbnLfR1vIZsCyGZtCy6e1j40QCyHKfJOkfEfpO9nZOctvRiJ0OB3KLeVXVDRlVGwTBmpcgg9K37N80LMg/VG/k/IMhsHFk1Mnb47rARuyHKcGd+/kRFqJO3xXDnMMm5IZb8KozN4bz/16v1JBURK9Y2+7H03EA2hIkvW0mu6Fb9QkTCpKyNISUMeFxa4skEhFoJzexDZ3fT9VMvIjvezYstZ0KSQFYnUFJieBk1RiKJKAvqKGsnqgKJlAqtnMieiBKJ9fyCtLW01SomjmSyyJFykEyK15dpYJUOw/b3ZxORK1dgeVmQkGJytSSJnM1oVPx9dlZstEZHC71WHCCd7GrVW7npuUkyVdnnSaaS3PTcrN3voV5Ix0HT+RLl1DBFKT0u0ivnKsmQJNDKCZJKkekrs5S2AuQOpTNn4ItfhDOf1fH+U+00m1NofIs0L93lROi7nOE/8kXT/8kZ67ewSz6RCzI9DW+9JSp/3nhD3OBNbozWY+0hGAsy2DqIzWDDG/GuKaDFYN47gdoUJBFsBgQRiSQiqGV1VflFFUQ164JCz14xdJg7eG/fY3TtC6HZcxXHkbfpPz5GKrLC3dtDOANDLC7uZ2XFRDKpwr+i5fp0P/Nv/QKhH/4er731MbyRnHBoOr9vclKw1J2MjKqMomHMSpHxrG2SF2QeHloyklb35+YqX7uA1W1/EiSJZEpiLmDhqd3TotKjFmTu8DcAh8VBy8oTrChBFPJ3jAa1gZSSWpustM1+mgfextAxg5KSiS9biQWaiIUNqBNWUgkt3ul24vMHUBI6Wg5fZs8/+Cam3ZMVuYBaHX5iEbEISZKESqXCZ1SJz1olgnEtvTZ/zi+D2duytLX0rl1CZ19cLP6dKor4/+vXxetLSLCFzPHC4ezikHKFQem8yrk5cRy/X2y0vN7i70knu+5q2sV113UWQ4tFFxpFUVgMLXLddZ1dTbt49tiz2+930NMjEmlWn5WSSFfOFEO6fXQGyeix+gnGipCcVKqq3KTcoQRifnjmGfjNr+ziq//fJf7E+rt8NfJZPmf9Js/0jIldYlOTuLFNTSLk2tYm5II334S7d+Gnf3pTpf0+ex+xZGyt0kqv1uOJeEgpRRQjQGf10tz3Diu+FlJJiUgigizJNOua6TBVliCdjmo+9dTm7pZrMabsMHfw9J6nGWgZIOgzMjHSQiCoZTluRd18D03rOCtNdwlbpjE0OXm8dZlPtidwqDVcGB/gS6+cYNSZE1LMzO+br3HTudnIqcooGsasFBnP2iZ5QebhoQ3TQI3qviSBLKPEE0x47fTafZwavFH7RdQxC8wWHcbWfA1vxJnnxmjWigTJeCq+5vApa2NY9k1g6Jwh5rcTDuiRo1aMah0JJc6Kfom29/8N7ftn0VnFyhmKVeYCau/ycefqvvVNrUqLTxeBpFJVbKxgGKyYRlyjtXSpnWshc7wbN8oXh+QinVfpdFZeSFUu2XVH+x2k46DpfI9y0OuFzJSLtGqi12f5dfTZfVy8s6/wUIrFKl4ly4YbRkfhe99D2rsHuhxihVxcFJ9LoxGTdiolDpImTY8/Lv7ve9+DgYFNIySZzr4d5o6KzMoAWo6+zNJMF77ZVpp2xbHprWjV2oryRSqIatYNtRpTGjQGdqmOcnchhiXqw6afxpdsYSXUhlm/ggMDNvR0YhZ5QBIYCzo/Z4Q4NrF3VV2QUZVRNoxZCTKetU3ygszDQ01Gam4c2WRjYjaOtT3K6cMjwh20VtQpC0xRQJUyMNjWz1TSnWfnrFPraNY144l40Kg0WZOUrAtDi4emNjVdli5MGg9Bj4np0BTNQz9BtxpHrsYFtLN/Hr1lkPCSEZM1jEpSkTToUfQSUjicXzVRBAXDYKU04hqspUsh1xyvSquUNWTmVVZTSLWR0s9tRToOurgovrRyMBiEZJQ748Xj64QyEFj7soY757HpB3GHjbSZMsKSiiIm0gqbz5UMN2QmLKQt6dNlU5kVM1qtuC6bLTtnZJNzDXKdfTvMHTytK29WlpKc2I7/Dfqf/FN0y48T10zQa99d9ple9Wvb7OjTGmo1pkwrl8m4ln26OFLMiF5lYk+0lyfRF31fUedn2NTeVXXDalVGOowZTRT/rGWRQei3qmrqoSYjUGPjyOU99Ope4/R7ZhjqWKz95HXMAksT42ZdC8eshXdIrcZWQvEQkURElOkC8VScWDKGQW0QDfBWjdNSKRlZnUB0Jq3eBdTSEqT70WnGLw1gsERIKSm0OgNSdxuMj6/L7iWQDoOdHBhfD4NVUPkCVGUtXQq55ng1WKWsITOvstqNVi2ln9uKdBz03XfFbFbu+0+rV/H4eo5JWnpuaVnPQVklGQ5LkOPd01wYH8BuiKxXDITDYmxV0Hyu7FAq1EnTklMxU+xz1dlLqBhynX0rMSuz6W109ncS2jvJxReTJJ2DtLf1F/0oGQ1z035tW1JYMjWlYDZXP8azlMtJkRitVZL4c/NBCkCSCjg/p7FV8YpakVGV0WP18+p0fguFipBD6LeqauqhJyNQg7r/83pOXf0BdjkJbK63RTVIlysf3F18h9Ska8IVcuGP+tHImrUGW63GVjSyZu1Y8YgW2x4/sWSsZhfQwRM3cN9twztrJ9XiEovprkGxW/Z6S7pxKgr5YbCNaMQ1LNyFzPFqsEpZQ06Lkg1ttHY0EUnj1CmR5fu97wmSUEoN0+lE6ZHHI74YEKW8er1gbgVIxqnBG4y525jw2oWpk5ISysXAQFmPkbJDqdKEhVL3oY5eQsVQzNm3lFkZiGTn2eZXOP6p2/TMP8f0u/p6RDU3hgxbY2Vyitj3/xdkSQOzcnalUglkKZfSemK0SlJIKqqK9iQFnZ9h03pX1Q0ZVRklw5jlkPGsbVXVFDTIyBqqU/et8PXHNt3bolpklisX2yGlCcjyyjLxVJxWQ2te+Wi6k2XH7iD34mGRk2C0V+0CamiKcPhjI7z+wjGcs500tdnEID9yRCxSHo/4/nIUkmRKYsJrx6rPCINttUZMYXO8Gq1SgOwWJbDzN1obht0On/uc2Krevg379okJvRjSpCO8GnbRaMQCJMsFSYbdEOH04RHOXjnGTU8L/alxZJsNBksrdxUNpbp10tz8XINKnH3Tfy/c52Z3wfYGNUQ1a0MBa1XJbEYrxYiuqGB6Du7cEcS0u1vc3yK9h7KUy4zE6JQioZWSFS/MBZ2ft9LlrRZkeC4N750pHMYsh1Q2oXcvbk3VFDTISB4qVvc32duiFmSWK6fNSIvtkCLxSNHYcnjJyIp2AZXjGmpF5JE8seuJql1AATp6XfR/7O+Ife89LN3rZlGC1vYOpGPHxITvcokFxmhEQcIdNjIXsNBr93H68AhD7U5Y3AaNeBWZ5ngZhVQ1ITevcqdvtOqCoSH40pfgX/wLsaB0dhaf0NVqoY4EAoKAOBzitWnSWoBkDHW4ePbx1zj3o31cj/XS9Vg3rXpDwYbylYQb1u5FXTppsmW5BhtNdq5TVLN6lLBW7ZmN8+q0A1pX5cRwWIR4FxfFhqZAd+Y85XI1MTqGjMNQecVjQefnrYpXbASr65Jj9irHdx/gwsSB7DBmKSiK+AJXCf0m7JdLokFGyqDoA1lz9uvm7fArMSNN75CKKSfxRIq4v42nPrTIr3z0HzO2eJQf3/vxWgVOtUimkqy0XOPMv9iD6bY+IwzWgbnvg6inJ0ksuAnOS8TRYDdGOem4wanuN7B7neDcKo24MHLN8SotDslFobzKnb7Rqhve/3744z8WsdDpaTGpp61q09UosZj4mVbOQiFRXbO8LEpnDx/O3w2vsosh1zWe//CjnO/4DJenW6sKNxRteHh1F33a4wwH4rWX7aexRRJYPZOdt4yIlLBWzQ41SOJhMRjEgnnlChw7lkdI8pRLgwHF7yeFhE1fXaFBlvPzZsYr6sn8MtalUyt/y5i1dT2MWeoUqZT4XvV6OHIERW9g4ubWVE2l0SAjG0FN2a+bu8OvVrDJVE4UBW7cUNh9XOL53xbj+qndTzEbmF1LkKvVDfRXnzqJ/UO5YTAdMesgpoNBhqU79DLJcOpNHFqPmFF6T9RPI67xgc9Vm6xWsZ5Wi0J5lffDRqtueP/74U//VCw+166tJ6umY1eZ1Shms3CHe/NNwSSsVjFRxmJF2YX91CnO2O2crDDc4PXC179epOFhROHVmb1cTOzD5oLj3dOcGrxRe9XcBiSwWhKV74tk5wqsVQtWTKlUItfM4xHK6tNPr5HUgsql2UwYIwYidJqrI5VZzs/1zO+rtuV3tVhdl+znznF66X9wNvDzIoxp9+YrJGnFKRAQz9+RIyRbO5go7wVZd0hKOcu+HYDl5WWam5tZWlqiqalpuy8nH+mY5+XL4u+ltmVPPbXpO/zMDUctgs0vnF4k2nJlbWc1H5jnncV3UKvUHGg5QJelq3wZYCrJhHcCq95a0oSr4Pxcj51CHR/4r39dqE2HDokN7ltvVecxkkqJaNTAwHpne0UR9+nMGWGu9dCg2mflve8V4Z3c+9jbWxFRLTSUciMDBfcP3/0uSnQFt7ozO2yY6T1RKaanRfjpq18t+9L5wHyeqqGVtfRYe+iz9+28Eu5akflQlZigvv7WMBfGBzjU7speSAs9VMB3vysMcdPLRCoFrnE/A4xzdCBYVT3+9FITzfooX/3It8Vm8+TJjVVFlWr5nUyKsR+LCVJw/PjG14nV842+NM250aNMhh10NQVoNYRFsnemGrl7N8rBQdwhQ933y5Wu3w0yUk8UWwArnDjriYomXLIFm649Edre+xLT+pfwRX1oZS1mrRlZklkMLfKO+x0CKwGadc3st+/nkbZH8vJICifI1T6iq97VbcID7/WKtIfZWfFdXrwo1s5KrFIURWziLJasTRyLi2LS/OIXd6aH0qaj1mdlg0S1YqL+2muCRLS2ZiVU55lhVYKxMThxQiTzFoE34uX82HkuTV/Ke/aSSpJgLEgsGcOmt3G8+/jOMberAmu3bm4Ofvd3RUigTKdtb8TAl145weyyJT/UEAqJZ/pDH1pLbM64bevPniHO07yCIVK6gi8XY+5WTnTf5XPN/1k4NW/EL6aWCblejGB+Hu/L1zn/osTlUTPeiB6NWsFs16G2mklYWwimTJu2X26QkZ2Abc5MrGYT2v3IDM49f8Z84p2C2fgAkXiEdxff5bbvNv6oH4vOwiOtj9Buas9LkHtq91M1TZgb2hlu4gOfuYgFg6IHWnt76Y1WZhg2M7ydTNZno3VfoNJnYAueFY8HvvxlQSrLhjAnJrIkMEWBm54WdjUFss2wyqECCWzUOcq5a+eY9E4WffbEoepL9DcbRcXJ8Dv0vf0Cw0/pcDSFyh5n1NnO2SvH8Ef12aEGRRHqyNGjglmyfttaW8VeZO3ZY7WZVDRasIIvF4oCo842zrT/Lc88cmdjXXs3KlXXsWPw/DxcfUvh9qS0ZfvlBhlpYA3lNqH63WP85b0/xh/1r/kUlEJgJcDs8izj3nESqQSPtj2Kw+Kg19ZbsxvohneGW/DAp7nOjRtiQUskCm+0CoRh14hI2phzoxutHYvNjodvABVGBgQCAdH0LkMCS6YkrrvaOTkwnm2GVQplJLBR5yhnr5yt+NkT11FZCHS7UFacfGucmMuHrU1TcT7OqLOdc9eOMOm10WUJ0GoMi+ducRH27oUnngBEvvO3vy04R2dnTtGN07lesr1awVdss7LoUbESiPHFj72K43M/VzsZqIoB51/HZk8WW7FfbpCRBooicwB6wh6+/OMvM7s8W1OC6k3PTXZZdvH808/XLBtveGe4hQ98eqJ96SWx5qZNQdXq/KKQ3buzLRE2abOzM7DV8fAqUUVkYB1vvSVKSTMksMWQkZWkmi9+6Iflq2zKSGB1efaadvH8idqfvXpjM/NxvBED58cOcnmmW4Qa5BTmmBe1Xk3i2HvXlN7FRTHcPvzhbPdkQBjpjY3BzIz4u0qVV9WVTML1aB8nPxDkzB8d2tg4rYoBF8ADIKM2yEgDFeHrb32dC+MXONR+qKJdWS6SqSTXXdc5OXCSM0fFw1IN267LzvBvX9vyB35+XriFf+tbcO+eIBwmk5i3MluUwHpUaHZWiANbbJWy+djOeHiFeOklsS5k2FiURyQCL78sVJJVCUxRYNTVzpmjV3mmf6L4eysguZvx7G0nKhInFUVIF8kkWCw15ePMB8xcXXBw22tjalZDTNGi/emn6e2V6O0V3nr/8T+W2ZsU6jEkyyhWGzfDu9k12MTzXzZvjC/XxIALYIsSzDZLJal0/W6U9j7EmAvMcWn6El2WrpomQwBZJdMcP8j/eDGE8wdLeOabK1bmPWEP566dwx/1V7UzlFUyB1oOcNNzk3Ov/inPvxbCXk2f8bwDVm/b7XDAZz8Lv/RL2YKARiPmnmBQzEWzs7C0JOa6tjaxvv3oRyLJbhsjFnWD8vYo0r8t7hWRBUkSX4LdLiSis2e3TCKqycOsgFuwpFLlm2HlogIvoXo9e12WLi7PXOZk/8ltrbKpoFJXIMesp1RzumKLo8MSXHdFnZ5GaWpG+uoHsl5T1gKqQI+hZEoSt20vnH62DsLdDnfx3WkR1QYZeYgxsjCCL+pjqH2oJi+CyLKBsVcOMv3OblzuGJG2EAOOZuHVEBXOpRcvFlfmX7jxApPeSQ61H6r63JIk0W/v5/ro9zmvRDnT+g+ren8eanzgM9sIvPWWEAfGxkReicu1biq6a5coN4zFyn8vOxlZE9i7EWKXltBG/gE9vRJ9k36GO+fLhy9kWaxYm9zVNhO5DQ8rRkeHyIDMcAs2ayzrZliZqEL5yXz2NoJWYyujrlGuLlzdVjJSqKdgUeSY9aSb070x18Xv/+gD7Ld7mfJbiSXVaOUEPVY/fXZf4bEVDCIV8P6o3gJKqr9gt0NdfEtFVCuZtzcLDTLykGI+MM/f3Pwb7vjvMB+YJ6kkkSUZq96K3WCn09xZ0kvEOdnOte8cwTtnw9IaoHnvDGarzO5dXVmvS8/PFy6IRTr9oNdtZxhWc9m8xEkpiIPS3iclUcMDX2hnsby8Ho5+z3tEbl2piEXu97JTUXACm72L7A8StXby6rSei3d6sOkHK0tK3KKutlC44WFV6OgQddmruQZqv5uYrKDcm0bS1NZR7rb3NlpZu2EzMkmS0MgaJn3b1+So0p6Ca7DbhXfMqvQRiasZc7dyx29lzN3K4Q4nbaYwspQimtDz6vQeLt7Zlz+2yriiVt0Atd4mzzUz4AKok4tvCff9LGzH/NQgIw8ZMqtWXr77MkkliVVvRUIiQYLp5Wnu+O+gV+vpbu5msHUwz0vEOdnOlRePEQ3qae9xoZIVElEtvogv73zFlPlpfZ12hstxRnUprrKwMTICFT/wxXYWS0viYQ+HRaL+tWvitYX6em1jxKJqFJzAggGhbLSpwRQEgmICCxu5MD7AmLutfFLiFnS1hcIND6uGwbBWQpoY9WOKu5GszTV3lJvyT2HW1mehMmvM20pGqo5GdHaKWGY4jFNpZ8TZiS+ix6yJAQpmbYzdTctZbyk4tlTvlHVFra4Bas1fQT42zIBzUIdGVmXc97OwHfNTg4zsdNQxqyizasVhdmDVW0mRwqLNXsQVRSEcDzPuGWcxvJjVrTe8ZODad44QDepp6V43IVJJKpJKsmi4J1eZb/vozMZ3hoqClEyhUclMkk+EqkYFD3yxnUU4DO++Kw7R0yNeW0Ffr+2IWFSFohNYVntUAUmCNlMYuyHChNfO2SvHyiclbkFXW8hueLghWCwEbRaGT3TD54ZrtniPJWPIUn0WKrVKTSwZ2zbb96qjERYLdHfjHHVyJdpFNKmm3RRCJUE0+f9n7+/D2zrvO0/4c87B28ELSRySAEGJskmalGiLlihHtpVETt3pNJmw3aZqp912Zhpl6u0+WyfTa/3MXtPWaeeZySTdfbLbzUyi2ezUndHMM51t+qK005Gb6cR2ake1HMWWZNKmSFqULL6DIAgSIN5xzvPHIUiABEAABEDw5ZvLFyPgADg4uM99f+/fy/drZClq2fKSLWPrBx/h+cZR+n+xOBZRcyPAijDgDOzQyKromp5NqOX8VLw27iFqg9lZvfT/61+HF16AL3xB//v1r+uPz86W9bbprpXplWlOuk7isrswiAZyNVMJgoDNZMNlcxGMBbkxc4P50DwAd75/Av+sE+WIP2tAq5qKJEjZk+Gm905H5icm4JWXG3a+M1wrhrOnDJUhI8lkwVk1vTBPT+sLc2vrxqF37uhREEXZcC632fS1OhjUayDn5/N/jfR1uXJl51+jUtg8gWXtpLbYo24gXZQYiFq4fPs0/kgBt+caudp2d2/wzJ1gS2agjMVBEARMkomUltrZyawhqSYrkvIpF+VkI8IP93Er2kc0nKJZDiOunbpRSrFUYLxIosZxxUdgIcHl5Z/G/+zPlHXONblUnZ16HqgSCIV2ZNKXrunp6Sn9u9dqfjokI/WCtHPXF7+o/712TS9ASCT0v9euZT/v9xf91pu7VtI1Gk1yE/FUPO/rREGkWW4mmoxya/4W3jkDk+914GgOIkrZs3pcjeMUZD2m99ZbuknEX/6l/vett/THg8E1Z3iN6ZFjxAp1JBSLpiYMiSRxUmjscKUpcMMXWpiDQb0ez+HYKuyY9vWKRvVwdiRPGUVmxqJMvllxFJzAttijZiNdlDjhd3Jl5EThD6qBq22m4eFOUCm/tM6mTkLxyixUoUSILmcV3GSLQLnZiDv3ZZYsbSjWKEIkss4SRUEjpYn5SaOqIvgX6WkJMNE0wJXXKjCHVAtVY8CloeSanhyoxfx0SEbqAUNDuvnJ1at6LrW/H06c0FWzPB7974kT+uMWi37cl7+sv64IpLtWepSerN2TYlFIqamc0ZE0BEFAkRWWIku8/U6KaNCCtTGcdYyWSKD6/TjvfKi3lExO6n3xqZT+d3JSf/zVV+Gdd2i1R4mH7HjvHi3vemVCUUiqKUyahMDOUj6FbvhCC3M6Y2G15n5rQdAXsKUlvRgsH1padI55s0hxz2qi4ASW0x51KyRRo90R5PpUB7PBAlvnzPRYleDx6J0BMzP6qZeDVEp//dNP7zyj1K10r6dWdgJN00ikErtGRtLZiFKu6Tp5b7EgHmnX32B1FeJxVBUkQc1tnrm6ut7RJD31EdpPNNYVed+COmHA6ZqelpadnUa156dDMrLbKBT734x0VdHJk/rxly5tS0gKda202duwGCyEk+E8r9YhCiIOk4PpBxZUMZZ9eqEQ4Qd3kYNh2gSHnpdoadH7WB0O/W9Li/64wQBjYwhvvE4DGgvTOyw4BWhrI2QR6ArtsPypwA2/3c6iQMZiHaKoX46pKX0yzoUaZSyKQsEJLK0VUcRC2mIN449YuDlXYPXeJj1WKVy4oHPN8fHSeY+m6a/r6tLfZ6cYaBvAaXHiC+9sofKFfSiywkDbDkM1O0Cp2Ygs8m636y1nzc2gaSRWEzhTC3o1eDCo/11Y0ElIKqW79D7zDLjddUXec6JOGHCddhhvwSEZ2U0UTMoXQLqqKBDQX18gZZPWM2ixbl1VHGYHHY0dBGNBVE0t+JFWo5Ww10XSENh4MBRCnZkmmAxz1OLGYW0qTKQyiihaluYIPmjY+c7QbifR7KRrIVm1G367ncU2GYt1WK16mmZuLv8xNchYFIVtJ7CmJj2asQ0Ege1FwnaYDy8WiqK3KDY16QV5xQ6XVEo/voCGWcnwODyc6zjHTHCGlFreuE2pKWaCMzx99Old1RgpNRuxhbwbjeDxoD30MKkmBecRqx4BliT970MP6Z1Mzz6r/11rTasn8p4XdcCA67DDOCcOychuogZVRdvpGfS19KHICv6IfxtiIEDKTEJbK3pIJNDm5/BrYZymBvqEIuWO14oo3AkNgz/Ogn+6uNflgS/sQ+l6lAHX41W74QstzEVmLAD9GFHUiU0+1CBjURS2ncAURf/iRZyo3RjPLRIGO86Hl4q0GNaRI7rEycJC/q+gafrzw8P68ZVubbzQd4EupYtx/3jJpFzTNMb943QpXVzoq0CoZgcoNRuRj7yHU2bkVgdtnzgBn/wk/J2/o/998kl9rnNsjaTWC3nPi11mwNXsMK40DsnIbqFGVUXb6RnIRplT7lNYDBYWI4t5IySCAAZDimgiAYC6sMBifAWLycppoQ0ZY/HnLQiYbC0cjaWY/eDtne8Mu38Ez2c/X7UbvtDCXELGAtAn4UJkpEYZi4IoagLL0IrYDgZRJZ4y5L5GlaoILQFpMazBQb2kaWhIr+WZnNRvo8lJ/d9DQ/rzg4P68ZXWWFBkhYunLtJkaWJ0cbTo+yClphhdHKXJ0sTFUxd33SSvlGxEPvKuqnpW5ujRDM5RxE1QL+S9IHaRAZdT01MI1ZyfDsnIbqEGVUXF6hm47W7Otp+lwdyAd9XLamI1507N3DpDMmphdXUJ7+o8DoOVs8IR3JQeAwwlLfyYItLlTTI+/e7Od4ZVuuGLWZiLzFgAemSkUEChRhmLgihqAlvTiiAY1FeSAkiqIiYpuXUCq2RFaIlIi2F96Uv6349/XJftNxr1v+fPZz9fLW2Ffnc/z599niMNRxj2DrOwupD3XtA0jYXVBYa9wxxpOKKbRLrrQyWv2GxELvKuaRtt8X19pX1uPZD3orCLDLiOOowL4lD0bLdQg6qitJ5BNLm98I7b7ua8+TwjvhGmVqbwrnqRRAmjZEQURFRNJd5wh3j8NMlQiN6ITJ+ju7SIyBo0DRIpkf6jGh2zLi51JxhdHC3LtTdrZ1gF/editIs2qVsXhKoWTvnsOGNRITWnokTC+vp0Uuf3r7va5kIoYWLAs6lQptIVoWWi5mJYOdDv7ufF8y9yZeQK16euM+QdwigZsRvtGEQDSTVJKBEikUqgyAqDvYNc6Luw6xGRTKSzEQXN6daQaU2jqvrwsVjg1KmtSsXbIRSqaVBtZ9glOdjubt1rZqdju9oZ1UMysluoUVVRZ1Mn1yaLk56UjTJnPGfoUXqYC83hj/oJRAKktBQm0YTrkWkS9+2cCio8HP8QhNKJCOiyzoocZcAzh2eqhefj3VxuiDHsHabd0U6LtSVnjYumafjCPmaCM3QpXVw8dXHrzrAKN/x2C3NmxsJmK/xe8Xj+jy0rY1El682iJrAcrrabhVbSxLPLmZGbKsLVtpoopFS6WztsRVZ47sxzDPYMcnPuJnf9d7kXuEc8FcdmsjHgGaDL2cVA28CuFqsWQrHmdIqiD9XVVT2wpig6EcmlUFwINS43qhxqzIAza3paiyzty4VqZ1QPychuoIa+Bd1KN6/df60kqWiH2ZFlkpcOGw85huj4EQcP/i2k7GbKOfuUKjATdDDYO6Y7cNrt9D+I8uL/+MXK7gwreMNvtzCnMxZjY/r6vFn4LPMUVFWfGDYjnbEo2qKlytabRU9gOVxtsVrXL9Q68WybLcnVtpKYDc5uWeBNkonOpk66le66WuA9Dk/WueyWxHu5KCY4GQzqQ1QQ9E7dXN5NxWAXyo2qgyr/vumanqtX9etVzrJT8vxUBg7JyG6ghr4FmXoGrbbyaLEgCCysLqDICv/jL7by+3/0PuPBNo43rpZ0H2kajPsVupQlLvTd0R9cI1KKxVndneEObvhiFua+Pv35QhmLcFifdNvash8vOWNRA+vNkiawTa62eL0giqQMZmaWGxk8egvP1I0q2qPmRqYp5FJ0CZNkwm6yIwkS0WSUa5PXeO3+azgtTs51nKu71Aewp4hIGsUEJzs7dfJ+6lT9Lo77CRcu6Lfn+Hhp3jRQu4zqIRnZLVTMuYuCidO0nsHVsasoslJUTcZmpLtWBnsHefRhDxcf/49c+sFZRheb6VH8SOL2xacpVWDcr9BkiXLx1K0Ne/lNRKoed4bFLMyyrE+s+TIW6W6B3l5w2DVYU4stOWNRQ+vNkiawDFdb5ubQFv2M3zPS1eTnwuN34dHzVbJHzY1MU8h2Rzv9rv6Cqb+rY1cZ8Y3kTv0doiwUCk76/bqIdD0vjvsJpdT0ZKKWGdXDbprdQg19CyqtZ9B/1sLzD1/lSEOQYa+LhVVr4caVVSvDXhdHGoJbXVy3Kc/ebSKSRjHdAumMRUODHhxYXdWP1WIx/B8GccZm6Zt9Ff7yL9G+819ZeOU2w9+d40hTqDiOUAORvEyUJZHgcJDq6mG06Smanj3Dxf/woyj/+l/A5z8Pn/50zYhIpilkq621QI2IQKutlZOuk0yvTHPpxiWG5ouzWThEacj8CepJgO6goJ40dnKhLDJy6dIlHn74YSwWC0899RQ/+MEPCh4fCAR4/vnn8Xg8mM1ment7efnll8s64X2DGvoWVELP4LOPZ3StdHfTb73Lix9/ncHeMWIpA0NeFyO+FiaXG5gN2plcbmDE18KQ10UsZWCwd4wXz7+RTUT2UAVasZOn2623hfb2QiqWZH50iXvvhkguLnM0eR/fipGRxVaG5lqITS8yGP1TXgz9Jv1vFWF+uAvWmzuewB6vLZnMZwq5HSRR4njzcQLRAJdvX8YfKd6I8hDlod4Xx/2IetHYyQVBK3Gr/K1vfYtf+qVf4pvf/CZPPfUUX/va1/jjP/5jRkdHcblcW46Px+N87GMfw+Vy8Zu/+ZscOXKEDz/8kKamJk6dOlXUZ66srNDY2Mjy8jINDQ2lnG5946WX9Nj/duH2fEil9LtzcFBP0m6DzaHrQl0rH07FGR22Ioce42jqPA2G1o0mDaefgav/Ao8Sg9ZWZoN2bs55uOt3ci/QRDxlwCQl6XIG6HIuMdA2qxerbsbCgj7iv/SlPZP43VyukatbAECbm+fDN+4zOtuILMPR5igNlvjW62IPFlfUOTMDv/VbetvOTkriy7zm6XrZ69f1/1+oY/rpp2tSEpITL73zElfHrnLSdbLslOSwd5jB3kGeO7P9PXWInWOvjK39hnyNeF1dlc2oFrt+l0xGnnrqKc6ePcs3vvENAFRVpaOjgy984Qv8+q//+pbjv/nNb/LVr36VO3fuYDSW1wq6b8lIOnE6PV1e4nR0VN8mvPhi0Xdnuqjv+tR1/BH/lq6VRb/Gh9efYHXiceypozystKM0mZEknfuEQvqgdXpHObf637jwt1ZQ7NmKX0U1rpRIpOoJ206e0wESoxMoQoCnH13mwmNjKHKk8HXJTM7m2va9/LJOXvMVqxYLTdMZ1XPP6WmTElGrCawczARn+K1XfwuLwVJ2sTbAwuoCsVSMLz37pbrpsjkIqOexdRBQrQ7jqpCReDyO1WrlT/7kT/jMZz6z/vhnP/tZAoEAf/7nf77lNZ/+9KdRFAWr1cqf//mf09rayi/+4i/yT/7JP0HKEw2IxWLEYrGsL9PR0bH/yAhkFySWU1VUZrwyV7vjyoOHmHrjx4h4PRx/2MFD7bb8TRrTUWa+N06X9CEXn/2Q/raF4j+8TCJVb8g5eaYidI3+JV3JMQY+IuFpWC3+DQtdl69/XS94PnFi5yc+MqLnkj7/+R2/1W6IhOXDy+Mv89I7L+UtVi0WmqYx5B3iuTPP8eme0gnbISqDehpbu4H98v2LJSMlddP4fD5SqRTuTeo0brebO3fu5HzNxMQEr776Kn/v7/09Xn75ZT744AN+9Vd/lUQiwT/9p/8052t+53d+h3/2z/5ZKae2d1GsUhBUVKdhc9fKu+9q/Ov/LOBKQc/TRTRpHLWg/KiL8VeiXPqumef/lka/p4j6l10WvKokcnYL/P4fwFyZqbd0XcfwsB56yYwY1an1Zj1NltuZQhYLQRAwSkYmlurZgW3/o57GVi1QJf3CPYOqt/aqqorL5eLf/Jt/gyRJPPHEE0xPT/PVr341Lxn5jd/4DV544YX1f6cjI/sWVZAxLwWLi/Dv/72w3qRR7CQgtbs5/rdh9DUDl18J8+InPkQ5aq06kapXCLMVNj9MiyjUUCRvL2M7U8hSYDfaD8nIIWqCcvQLnc59desCJZKRlpYWJElifn4+6/H5+XnaNis5rcHj8WA0GrNSMn19fczNzRGPxzHl8JI2m82YzeZSTm3vY5d8C2CjSePkyTKaNNrc9PxkA8OvOLkytsRzS/85J5HSEnEEpblmgle7grT54U5JVkuLTkhv3tR/6xqK5O1VFGsKWSwMooF4Kl4XOjeH2L8oVr9wZUUXiftX/wr+r/9L79bzePZX1KQkMmIymXjiiSd45ZVX1mtGVFXllVde4fN58s8f+9jH+E//6T+hqirimgrU2NgYHo8nJxE58Kixb8FMJTbzdpn2jz7M9aWfY/DTHXiW3mf2/hA3tWnuGle51ysQd1gxtUl0HonQvXidAWP9SHBXDNU0P6yRSN5eRSmmkMUgqSaxmWx1SUT2WUDrwKIY/cJIZKP1Ni2hHwrB7dt6U9zMzI5cH+oKJadpXnjhBT772c/ykY98hCeffJKvfe1rrK6u8rnPfQ6AX/qlX+LIkSP8zu/8DgD/0//0P/GNb3yDX/u1X+MLX/gC4+PjfOUrX+Ef/aN/VNlvsl9R5Vmnopv5WSuv255kpe8e14+lWIqaMEn2DQluLbUnJLjLRjXrOvaK9eYuohRTyO0QSoQY8NQHYTvotQT7EZv1C3Pd0vPzG/OzwwEul36cpumvn5vT69AtlrJdH+oKJZORn//5n2dhYYHf/u3fZm5ujtOnT/Od73xnvaj1wYMH6xEQgI6ODv7rf/2v/M//8//M448/zpEjR/i1X/s1/sk/+SeV+xaHKBuV2MwHg/qNMTIe5h//f2Yxuttx2H6R9qNR5CMBGntmcTRv6IzsSwnuatd17BXrzV1EOaaQuaBpGolUgi7n7hK2Knsh1i0OQmpsu9T4/LxuLRGN6iQk01pCEPTf2euFkfc1zjwh7MT1oW5Qss7IbqCWOiMH4UbIxAsv6PnIo0dLf21mCHE5FMUXDCIYI3SfmgPNQDxiIpUQsTiidDw2Sd/5O8gNkfXXp9QU4/5xmixNPH/2+b1PSHZyMTdjchIaG+F3f3fjsRqL5O01zAZn+eKrX9wXOiNFi+vVuC68GimiveSqXAlsp18YDsMbb+ibvC2mm7GYnqeJRFgNpkipIs8e+wCHywqKguZuY3TGUVeqCVVp7d2POGg3QiZ2spmfn9fzln4/yLYEMcsUUkpENplwNIfXbyBNg/CylbE3e/F92MqpT93C3aVLwqcluEcXR7l8+zIvnn+xaimbmuTZq13XsResN3cRlTaF3E0iUiMvxG1RzRTRfnBVLgfbpcbv3NGfT6dlAD216vPB8rJegC6KWEUJb7KBuYCMIzYJ9+8jWCz0HDnG8J1HuXLFvKf2HAeWjBzUGyET5TZpbA4hzq/6iKWimCUFUUxlrZGCALamMLIjgn9a4cafneXsZ26sExJBEOhRehj2DnNl5ErFJLh3Jc9e7bqOvWC9ucu40HeBEd8I4/5xjjcfLynKmcsUstYoppYgF9JeiKOj+ut3uiuudoroILsqF0qNB4N6UNThyEjNhEJ6Hjwa1V+41gknAJIqsSQq0BJd2/mFkT4Ypd2yyvWXH2VwUNkz9UQHkowc5BthM0rdzIfDekQkGtVDiPFUjOXYMibJRDJsQFZyK46KkkZzxyKLk83c/s5pzv/9N9ZTNpIo0e5o5/rUdQZ7snekpa7ru5pnr0Vdxy6J5O0VpE0hL924xOjiKD1KT1ERksyU4cVTF3dt47GjNvsCmnmloNh20/TwKrVwMu2qHIgGtvUQSrsqK7LCuH+cSzcu7fmUbqE69zTnWLd5C4X0+zdPO75RSrEUkfV/CIJ+jCzTsjjH0E0rN7+9gudXH67ad6kkDhwZOeg3wmaUupm/c0df8NMhxFA8pLdBGm3EVQGLI5L3tYIAyhE/3nsuRt44wZnBm+vPtVhbGPIO8cq776Mse8qKaFR7Et0WHo/OcK5e1clEuXUdMzMbgme5sMsieYVQD22n/e5+nj/7PJdvX2bYO7ytKaQv7GMmOEOX0rWrG46KtNnn0MwrBdVOEW12VS42clXLlG41sV1q3O/XnxME9Pt3bk6/n2U5540lChopTcy+70QRoaUZ470oE3/yDvz3DXsiGnqgyMhBvxFyoZTNfK4QYiQZQRREEjETRnMSu5LDnTcDoqThaAky9X4HPU+Pr3fZRINWJr/341ya9uAxlB7RqJs8e63qOnZRJC8T9dp22u/u58XzL66bQg55h7aYQoYSIRKpBIqsMNg7uOup2Gpp5hWLWqSIvn3n20z4JzjpOllyo0C1Urq1xHap8UBAfx7QJ+VotKBAoaoJmDalxtMfZFdMTDyQdhYmqyEOFBmp+o1QYFtYDzvGXChlM78lhAhEk1FEJOJhE81HFzFb4/nfYA3WxjDeCRdz4x4czePMT7i4/Z3TeB9YcLb6S45o1EueHah9XUeNRfLS2Attp4qs8NyZ5xjsGdxSpG4z2RjwDNDl7KqbIvVqauYVg2qniGaCM7w5+SbtjvayiouhcEp3ryBfalzT9GlAENC7ZpaXtx0QiZSExx7M+ZxBgrjchPbmXyCUEyarMQ4MGanKjRAi77Zw1vkoNxng7pJSVzvGXCh2M58VQkQPcauaRixox+6I0vJQEUZ56K+XDCpLM07mJ1zc+LOzREMWlGMfYjSKgAZsPYl8EY233tr9PHsWdrOuowZEZNfTYSVisylkvbbv76YXYi1SRLfmbrEUXaLftbNBkE7p3py7uSfJSL7UuCDo1zCZRE+zputE8kDTIKWC05I7zJJURWx2I8KSv/Qw2S7gwJCRit4IU29z89//r3huhrZsC/3LElfeMPGmV2NJuIepdQn7iSNIVkvd7Bg3o9jNfFYIEdA0gdiKHckUw/3IAkZzsujPNMpxvB+2EJhrIhqy0NyxyEoshSQYt10owmE9TfSDH+jXMxYDq1XfkSsKtLXpqaRisdM8e07UcV3HTlA36bAdoB6JyG57IRZKEZVC3gqliA5dlXUUSo03NempcKIRfZIrcK3CSSOyMUWbPXdqPJQwMeCZKy9Mtgs4MGSkYjeC14txdJyJuQdgOb+xLQwGGbpj5PL7Z5lYbqFdmqdf/ADhgQZBJzz1lB4WoX52jJnYbjOfGUJc6yAjGISGBpA8Y9idpfkMiZKK70ELZlsMd6cXQYC4Gscj52cCuXwaFhf187LZ9Mfv39fFhDo6oK9Pr/sqBuXm2QuiTuo6KoW6SoftM+y2F2JmiigYCzIXmsMf8ROIBkhpKSRBosnShCIrtNnbcJhzs/1CKaJDV2UdhVLjiqLPYVo0ilCAmaoaBGMmepsXcZi3psY1DRIpkS7nElhKDJPtEg4MGanIjbAmsGFPJphod4LYur5CDo2ZuTT/MwRUmZPyGJKgAgIk17oj0sqZTz2FIMt1uWPcbjMfDsPqqv5XlnXnSJM7zHtLS2iaqySiFwubCAdstD7kQ5Q0PeWjqjgtzpzH5/NpCIV0UmSx6IKlaaI0NgYLC3D6NKw5FRREuXn2orBLdR2VRj20ne5n7KYX4r17YLREeWf2fSaXJ4kmo0iipG/gEEiSZHJlkvuB+1gMFjoaO+hr6UM2bmX7uVJEh67K2ciXGm9rA4tFI7xowCalcr5W08AfkVHkCH0tuVPjvrAVRY4y0DYLoRLDZLsEcftD9j4qciOEw3D7FkSjGJqcxEUVbX4OXn+dxREvlwM/RcDYyvEmL5LFCGaz/p/NpsfkVBXefRdefVVfWdnYMQYC+o7R76/Et90Z0pv5L31J//vxj+uLvNG4EXI/cwaefVb/+1CLC4vBQjgRLulzggsNCKKKtVF/XTgRRjbKtNnbthybFlkLBnUSkrnjU1X9v9BapDLdau9y6cffuLF+ubdFqXn2slHJCaFGbg6VrimYna3s+e0HdHdvrBk7QaleiJoGs4FFbi+8w9jiGAbRgMvmosXaQoO5AYfZQYO5gRZrCy6bC4NoYGxxjNcfvM58aOvNlZkiSiPtqpzSci+wpSKpJisS6d4tpFPjTU16xDC1dlkcDujoEAgmZdQc40DVYDEiYzEkOeWeRzZuTY2nVIGZoIOnj07icazVnlSiMrrKOBCRkYrYi2do9CYJYgsnEW78EKJRvi38AyaSxzhpu5/79xYEfZStrsL0tH6Xnj0Lbnfd7hhzbeb/8i91e5RHHtkY1w6zg47GDsYWx5CNMqKwPb/VNIiuWrDYowgCqJpKMB6kt7l3S/g3HNYjImmRtczrq2n6f6K4Nbwtivrxi4v66595ZvuUTal59u2+Y1Xu/V3qpd3tttODgN3yQhz2DvGef55QVORoi6vgPSwIAjaTDdko44/4uTFzg7PtZ3HbN8KP+VJE+9VVuVzkS4339cHCkIrfL9NsVjdS40kjwZgJRY5wyj2P275VYFLTYNyv0KUscaHvjv5gqWGyXcKBICOwwxshGISpNYENQSSUjDBwPwpROzP2Xt68f5J28+JaaiYP0klhVdXfL2OFrEoBZYVRyDi2r6WPhfAC/oifZrl5+wLUZSuaKtDQsoKmafgjfpyyk76Wvi3H5vRpyDin9H+RHFprgpDhbjmiR3IKodQ8eyaqzhF2uZd2t9tODwJqpZmXibT2kkE5ibz8EURhsajPEQWRZrmZxcgit+Zv8Yz5mfWUTb61b7+5KlcC+VLjbR5Y9sHkSgMWQxJNA9mYord5kb4WX96IyLhfockS5eKpWyhypPQw2S7iwJCRHd0Ic3MQiYLbhYZGIrRM14IEisKtpR6Wknb6zfe2fx+jUY+OGI36gpKxQu6FHWO+yVI2ypx2n+bGzA0WI4sospJ3d6WmBII+B7amVYxylMXIIhaDhdPu01vyzzl9GjZBlvVLmo6SbP5pRVF//dSUHoEq1GVTzgaiJhyhDnppd7Pt9CCh1l6Iae2l4z2nuDUu5Y3o5Zo3BUFAkRW8q15GfCOc8ZwpuPYNtA3gtDjxhX07clX2hX0ossJAW/3v9otBzjr3YQeWufcYC7aREE0ca1iht3mRBkvuYlVf2MpM0EGXssTFU7fod+veXyWHyXYRB4aM7OhGSAtsIOBLBFCW4wwkjoJB5G60PbcCXi4Igr46xmJ6sjBjhdwrO8Z8k6Xb7uZs+1luzd/Cu+rFYXJgNVqzJjBNA/+0grPdz8pqksXVOO1OB6fdp7PCvGnkElnbDItFDzZB/onbatWjI3Nz+clIORuImnCEOuil3e22011HDU+0HM08TdPvgVI18zK1lyy9Xu68ESW8bMXWFCaWjBGKh4gkI0ST0XUyYjFYkA0ydpMds8GMKIg4TA6mVqboUXqIrjjyrn37xVW5WshOjdvRfm+IpT/7BleEC1yfeYj7y00YQyp2YxyDqJJURUIJE4mUiCJHGewd40LfHT0iAqWHyXYZB4aM7OhGWBPYSKEyE1tkcN6IR2oC4F7Eg13K78eyBaKo5xTa27eskHthx1hosnTb3TxjfoYR3whTK1N4V72IoohJNIEqsTzrQpDncJ+9CuNnsX74NM8ca89ZkQ9bRdZywW7XL6mhwEhOc8Clpa3PpSfZUjcQNeEIddJLu9ttpzXHLmvcb9dmHwzq04bfr4/p1VV9Sjl2TM/8trQU9zmZ2kuCLUTHY5OM/E03y8I9VhJLJNUkoiBuFP5rsBJbIRANYBANNJobabG2YDVa8a56mV6eIzbrKLj2/fSJn97Trsq1hPAzF1DujPDc9LcY/JEnuDnfzl2/k3uBJuIpAzZTnAHPHF3OJQbaZvVi1TTKCZPtMg4MGYEy7cXXBDY0Ecbx0xU0cGHWBo2CvmPUjIiUUCGerkaCLSvkXtkxFposZaPMGc8ZepQe5kJzLIb9zHkTrPgcONv9fPJnfHz87I/jv/00V/6TgqXACNwsspYLJpPetJTuqsmXzjGZ9EudS0NBUA1EZrp59pOrYG8FCi80NeMIddRLu5ttpzVDHWnc56ol0DS9XX1hQQ+upse7xaIv/o2N8N3vwttvF3d6m7WXms+8TujdVUIfNmJvX8ZmtOWcIzVNI6EmWIwssppYpc3ehiCIjI1rPPt49to3G5zdIsW/ElthcmWS2eAsA20DNMlN216Pargq131bcMbOzzPzNp6eFejRiWHBNaJca4ldxoEiI2XZiwsCKUlgnABNKFyckIgl3by8OMDdaDt/s/woUdVEoyFMkyGIYgjSZvLjMOSJlqRHUXq7mUFG6n7HmIHtBUYdJEMOrAn4iBue/imNCxeE9fti1g6v/WX+zoEsn4YCCIf1NI7RqK8lmztu1t+PJLMrfl6992aWhgKaQGC6BWPTCHfdf8QXXzVyruNcQdO0mnCEerBwzUCp7s75ULf1dHVQl7MZmbUE3/42/Mmf6BERWdafczr1/zIVh0s5vUztpfnQPEPBG9g+MgHXLpLydkPbNOQoyk93JxpFI5FkhOnlOST/cQyKj4sXe1EU8Ef8XBm5wpuTb7IUXcIkmbCb7EiCft85TA7u+u9yP3CfLmcXZ9vPYjVZt3xWJV2VcxEjk2Sis6mTbqW7bjyKspBn55eTRFXaWqLGOFBkBMq0F3dE6Joz8tM8w1sfKLy5cpIlwYlJTGEWEyyn7MTUBJMxN/ejbVjEOB3mBfqsHyJLmwqOVHWjx1QU9RV3bYav2x1jHpQmMJp9fbfrHMjyaciDdGNSby8cOaJriiwu6u+XGSEJxUPMBAMkhRCtaxoKgiCgpgT80wqKM8rZzzzA1dmJL+zj6thVRnwjOSe+mnGEOuul3a2205qgDupyCsHn0yWKXC742McKq4QXe3qZ2kvhRJhb87eIJqMcecTPquXPmL/2KVanHsbsXMRgX87zeQKGSBuhxQbMrRM88skJTp48x9D8MJdvX2bCP0G7o11PA216g6MNR3nc9Tg3Zm4wsTTBVHCK7qZujjQcqbirciFiFE1GuTZ5jdfuv4bT4tx2I1Jt5IzW7FNric04cGQEyrAXP/IsJ76X5NvBn2FiOUm7NEe/9Z6+YAopAkk7Dim80Q+umhmLHGUh0chp+we4TQH9g9OVZhaL/m9VXe+XrNsdYxEoV2B0u86BdZ+GHNA0PRKiKBuy72fPwu3beimOw6EXrq4mQswEZ4jFZFo9IjaTDU2D1YCVoM+B0r7EqU/dwt3lBQRaba0ossK4f5xLNy7x/NnnswhJzThCnfXS7kbbaU1QJ3U5tT69TO2lO747LEWW1km6veMe5p/4j/jePs/K3cdYnepElFJIlgiCmEJTJVJRGTUlYbSFaDvzNuHuPyDY5GbYO8ylG5cIRAOcdJ0sGHm2mqx84uFPcKrtFO/MvkMwHiShJpCNcsVclYfmh7YlRrCx8Sy0EakGio7W7DNriVw4kGQESrMX990wcOnBewRSZk46P0QKBkDQQ4ptRj8WMU5YNWOTYroCqBRDFuP4kw5uBE9w1nFHJySJxAajBX0grQ2cutwxloliJ8ztOgfWfRo2kRtV1YmIxQKnTm0EmtxuOH9eJzhTUzA7l2QxGiQlGBESdjQthu/DFlJJEbkhSu+5MfrO30FuyE6pSaLE8ebjjC6Ocvn2ZV48/+L6TqlUjpCPmG3LEeqwl7bWbac1QR3V5dT69DqbOvnuxHeZXJ7EYXJkteMb7UE8n3gZ5dR1Qh/2EF1oJ7LgQUsaEc1R7MfGsbTOYn9oHHOTn6mVMIFogG/c+AbL0eWSilObLE08+/CzjC6O0mpr5Tc//ps0W5tL+7I5MDQ/VDQxEoTtNyKVRNnRmn1iLZELB5aMpLGdvfjiIly+CgFHB8dXbiCYTbCsrg8ChyFCh9nLWKQDWYwjCnpxqihoNBtWWEw2cCv0CM803EaOh/SiBrN5I0ridNbnjrFGKFQMq/s06HUhNlu2QZ+i6ERks++MLOvSLT098P3377M8G8AQbEc1J2hqC+Du9OJsX6KtZxZHc263S9Anpx6lh2HvMFdGrvDcGX0m344jZHY6BAJ6NECS9CjPZkfhvByhTntpy2k7hTqup6uzupxan1630s0fDv8hkUQkZ2s9gLnJj7nprfV/5xpCmqZhFI34o37enXuXH+v6sZILQzPvt2/f+fb6/VYu0mJugWigJGJUaCNSKVQ0WrNPiAgcEG+aUrB5UKR3Jj2faEdQnHp0w2DQ/66hz/oAxRDEn3Rs8mMAxRBkKelgZLldXynTfXdrbnOau60+d4w1RDolOjiodwkMDek78EBAdwX2ejf+S6X0GpHz57cxwDMFiTe+x9HjXpyeZZ7+u2/yk//v/8KTF35Az9PjBYlIGpIo0e5o5/rUdWaDswU5QiQC77yjWw+9846eXorF9PONxfR/Zz4fieT28AA2ipvThhU7RQW9KdLk8cgRnTwuLOT3Ukl3fwwP68fXgxlkFtI5t2J7YfOhpUVnnzdvVuS00qj26Q20DaBqqt5RVuTYyHVYOBlGEiXiyTgG0VCWfghsvd92grSYW4/SUzYxmvBPcGXkyo7OYzPS0ZrplWlOuk7SamvNe37paM1J10mmV6a5dOMSQ/NDFT2fesIhGSmArJ2JXdYtYNNyoLHY+iwsS3FO2T/AIsZZTDagahuDS0TFoa0wlfIQVI7psfm1ystUewejM4762zHuAtYN+v65lmXQ19OjT6YWi57CShv0beczMxeaI5KIEvN2oLQv8egzd8o6rxZrC/6In5tzN/NyhPl5eP113SnYYNALDVtadCLlcOh/W1r0xw0G/bjXX9fJVV6O0Nm54f63U4RCFS1GykceJyd1iY7JSf3fQ0P684OD+vF1RUSg7upyNqPap+dxeLCb7CTUBKpWwMqiAFRNJRgLYjPakASJpFqg4rwIZN5v5SJTzK0eiFEam6M1xZ5bOloTiAa4fPsy/kgdOKpWAQc+TVMIW4oV3W69SvKHP9RnimBwza9GwG0KcNZxh9uhR/AmmnCIq1iJIKgprEYNr9TCnBrHoS2iLfrxWY4yoz1K15E914FVWWwSmPLE43jSAlM/1o12eoDhRc96s4N1a/dfTvhCS4TnjuJqjnLqU7e21IUUC0EQMEpGJpb0mXyz3kbaUTitFJtP50R/Lz3dJMv6TtXrhRMn8hxcZi/tlsOLrYwu8XP2RT1dHdblZKLap6dpGg81PcT86nzRvlKbX++P+FFkBdkg4xN9pLTUjvQ7Nt9v5SBTzG0naLG2MOQd4ubczYq0/KajNSddJ3eUxspMG+8nHJKRAsi5M3G74Ud/VJ9xh4d1tmI2gyThFuY5b1liJPIQU3E3XsGJZJQwWiRiCTMTS00kl0MkpC6UgYcZ/LS5qA6sfVSjtIEiBaYEp5P+c+d4/u//XS5/uzGnImUm0q32d0ctNLqWOPvf3V3rlCkfdqN9fXLM5AiRSH5H4UIQRf03n5jQjQDTXUFZKLKXdjZo5+acJ0uZ0SQl6WwK0K0sMWAcxpOrMrpCKqN7tp6uTuty0qjF6QmCQIO5gUeUR3iw/GBbX6lMqJqKP+LHYrBwyn2KW3O39BSNIO1YSCzzfisHm8XcykUliFEalY7WDPbsPzn8QzJSAHl3JrIMP/Ij8NBD8NZb+mK65mUvm1KcaZylR4owRxv+lINAxEI0ESMWinP+zBxdP3uGgZ9W8s71u6xGXX2UITDVPzLCiz/9y1y58+i2rfZOp8axs0N0PPVD3O2NOz5dg2ggnoqjaRoDA8I6R5iczO8ovB0iEZ1QRaN5GjG26aX1R2SujJzgzckOlqIWTJKK3RRHElSiSQvXJo/x2r2HcEbcnPsRExfMHhSousroniAiUPca97U6vc6mTmaCM5xtP8vt+du6r5TZgdVgzbmYa5pGOBkmGAuiyAqn3Kdw2VyktBRJNYlTdu74XDPvt3IIRaaY206xU2KURr1Ga+oJh2QkD4ramXR26u0R6V7ScFh/gcmEQ1RxqFP6mxhUZmxuTO2tPP/HP4LQnHtyryM16pJR9MSxA4Ep5T/+K557/nkGB/u3SQ0IfPXdt1mJBYGdk5GkmsRm0qWx0xzhT/5EJ42FHIXzIVOsraOjQCNGnl7aoXkXl2+fZsLvpN0RpN/l3boGahqabxGfs42rvrOMfBkufnSM/r/5v+tKZXRXUeca95U6PU3TCIWEnKeXdjN32VycP3Y+y1dKEiWMkhFREFE1lUQqQUpNIRtlept76WvpW/eVEhFJaSmclp2Tkcz7rVRkirlVAjslRmnUY7Sm3nBIRvKg6J1JZi/p5p5Ok0lfYZxOUmo7Jo8NIU/7fB2qURdEWdLKFVJw8rz4Ip5Pb7CwXJHxzgedXJuszEITSoQY8GzM5Bcu6Nd/cbH0utDNYm0WSwHxs029tFrPIwz72rl04yyBqIWTLi+SmKOVZU2IRZAttJ7tQWkxM34jwKW/nOP5YyL9Z+tPZXRXUOca9+We3mb/paSaYmnqKM7EfV4eN2Tdm5vdzDN9pfxRP4GI7t9kEk147B6cFidt9jYc5mz76zRpabO37fh7b77fSkGmmFslUmY7IUaZqMdoTb3hkIwUQEk7E4cj259+040QGoGBPHNVnatRZ2FH0spVUnDK9VbpHd9OdzSappFIJehybvx4iqIXng4NbRCLzdGRXJ+bT6wtXyPGbHCWm5ZJ7n7Syb0bN1iZHePm7V9Di65yovkBYcGOA3Pmh24IsTideveX240UDnM88BajITuXlz/Di/Hvb9iMF0KNVEZ3DXWucV/q6UUSEUZ8I0wuT2b5L0WXHUjWZWbtL/PSO96sezOXm7nD7MgiG9vdQyk1RVJL0mhu3PGCm+t+Kxpr+e3O9x5wLTAEicb8Ij9FYifEKI16jdbUGw7JSAHsaOOU8YJCG6c6V6POwo7EelLN633SmiRS1i1UgsDU5h1fufCFfSiywkBb9oQUi8Hjj+vBMK8XLNY4SSlINBUhmoyuTxQWgwWLJGNIOYiGTTnF2jZ3OuQkfAOPMv5HJ1kMeLA6b3EzrjIiGOlQ7fTFG5FjqQ3fo97eDY18gDt3EAJL9BwzMexr48rICZ47U2TrZA1URncNda5xn+v08i1A86F5bs3fYimyhMPkyPJfCq+4OH5ujIGeNjTNveXe3M7NvNCCp2ka4/5xTrlOEYqHqna/FcSm/Ha308drLTE0NYmQTOrFXffvg2yBox3Z90YB7IgYZSArWlMBVCpaU284JCMFUJGNk6bh8wl5N051rka9jp1IK3/1b77K0wE7KfGH3GuxEieFCYlOmuhGYYA2PBS5YynS+C3Xjq9UpNQUM8EZBnsHN6n06nUqra1w9OEIf/22l8lJiMdERBEMRiOCoKFpAsGEhqqGMZlDHO2AjzzhwumwQAYdy+x0GPbmJnxBn4OV1Wdp7QljkzrQIhHCsRBj0goLhjinXY/gbj62dfcXDOqTscOBZBBodwS5PtXBYM84HkeROiZVVBndddS5xv1H//YcV/8mzNXrSUyue6ikkASJJksTiqzQZm8jnAhzY+YG0WQUl8213g2jaehGkO1L9J3XdXbyyZ6X7GaOfn+M+8dpsjTx/NnneWv6rarcbwWRI789IIRwEsSHRCu2tQPXoobjY+BbgFOnt1FNLJMY5UFnU/XSxvsFh2SkAMraOG3SA08lVGYCRxg868VzMw5stMLUuRr1OsqVVo6n4qzGV/nBwg94cyXIyQYTzYIbCYEoSa4xyWvcx4mFc3RwgT4UttmxlCAwtd2OrxDSO74upYsLfdkLTbqeaMbvZzZ8g1jrEkeVFtSVVqIhmUhIRkuJCJKK3BpBsgaJyx8yJ8zzx2MizdZmHCbH+oKiRtrx2GwMe/MTvrkP2ogGLbi6VkBoRgBsgKyq+KN+bhginPU04LZvInVzcxsiKECLNcyQ18XNOQ8ex3jR16NS7r91hzrVuM+Mjq30OViZGkR94KTR4yUpJZlcmeR+4D5G0chqYhWjZMRtc6+P8bQjtcWeW2cnl+x5yW7mwRm6lK51mfIjDUeqcr/lRZ78tgcH5+jgKmMoyEiIgADWNZGfRb8uDnT2bF5CUhYxKoBqpo33Cw7JyDYoeuMUiWzIUEajIEloRhPjKx66rLNciP4RvLSU1Qpz65ZSTy7xeVGOWE9m2NhpcbK6uETKIHOUhqzjNDR8hLnKGCP4uMgp+im8YylWYEqRlR3v+C6eupjTm8LcPM27P5zB0hbc2I02LgFL+vfSIKkm8IV9BGLLJNUkgiYQT8WZD82TsqYIxoPcD9wnOrfEmdZV/q8f/vFWwreWI/TPOJGM6pbxJ4oizXIzi5FFbs3f4hnzM+sdDoBOiiVpfeAKAhgllYmlErseqqQyWgtsuwAUMkja+mZ6qHRmRo+IVKGCfHM69OMfaaS3eZzb3zmNf6YbR0uQ5sYwoPHh8of4wj6azE3YTXZsRjvh5VyO1FuRS0irJDfz3sGsmrBq3m9bsE1++wJ9jOBjHD/HaUZIRyIFEVqawbcIt2/B+We2pGzKIkbboNpp4/2AQzKyDYraOM3Pb8i1OhzgcpHSRMb9Ck3OKBfP3kVxd4B2NKsV5q7pBUymI/WqRg2UJ9YzH5rPDhsjIKaMTBnC9BDLKroUEGjFhoLMOH4ucYPnOVuYkJQgMNXv7t/xjm8zFsOL3NFeJhp7nHZLM2KO91pNhJgLzRFNRjFJJmxGPceraRqRZIRQPMSxxmNIgoEp1cit2BWEu3/F33I9jfDBB1uc9gI3H8ekLUAsrovsZUAQBBRZwbvqZcQ3whnPmY0nAwE9jJMBuzHOxFJTweuWE1VQGa0Gyur0SmvcX7nCtkI2iqKHIavQW58vHeru8nL+77/ByBsnmHq/A++EC1WMsZIMYBHtrIYEJmZNNJkaaXJqeR2pNyOXkFaxbua5IgbVuN9yYpv8toLMRU5xiRuMskgPylqEBECAZkUv9hoZ0bsh11AWMSoC1Uwb7xcckpEiUHDjtEkPXBNEfGErM0EHXcoSF0/dot+9tjPZ1Apz7/0R7I/IwM4HfLXWiVLFesKJMLfmbxFNRrPkpa2iEa+2yhyh7A6QNUiIHKeZURa5zG1e5Hz+lE2JAlP97v4d7fg249t3vk20+U1alDNEVmzYmsJZz4fiIWaCM3qhmTG70EwQBGSDzGpiFV/YR0OqG2tDDNUzRGJlhbfnvsPZoAO3ZtNJhCigJZKkAlGE1DykAtDQqA9Ao3H9fUVBxGFyMLUyRY/So3dDaJpOZjZdJ4OoEk8ZSi/MrrDKaKWxo04v2HWN++3SoXJDhDODN+l5epy5cQ+j40kW7qmYhEZEKUGq6QZmj59z55y0thXvEZNLSGs7N/NCqPT9tgVF5rf7cfM8Z7nMbYbx0o6DFqx6lEQQ9Y3j1BT09KDZ7eUToyJRrbTxfsEhGSkSOTdOagz7B/cwRCwkGzyE/GYSKRFFjjLYO8aFvju5WyglCa33OPG3U0gf3IGegaKquwuhWutEqWI9d3x3WIosrVfzpyGYZaTVEEuG/BXlAgI9KAzj5QojPMeZ3AeWITClyMqOdnxppCNFXcdkjCenGHuzF9kRQZR0vY9EKsFcaI6kmkQ2yDmvW7q6fjkSIhWQae55hZXYu3gi4DfD7eYE52lExrh2XUCyG0jGrCCu6CHq8Cq427Ikgq1GK95VL3OhOZ2MCII+WSezF6akKmIzxUsfJxVWGa0kKmrLvksa98WmQx3NIRzN4/iPvkX0iUma5RYEQZdo9656mdR6ac137+RAMUJapdY5VOp+y4ktpmH50Y+bFznPFUa4zhRDeDEiYceIwSqS9PsJ3btBwt1SHjEqATVNY+1BHJKRErBl4/T/e5t70QXiTjc2Y4wBzzxdziUG2ma37VQQRAFTs53o7OqWUGE5qNY6UYpYTzAWZHJ5EofJsdXfQpYxBmGJbcLGiLTj4DpTDNKztctmhwJTO9nxQXakyH7+Dr4PW/FPKzR3LCIIek43moxuiYhshkEwEphz4Wwdx+78fVYTKURbEwrgZZURfJxh4zybmmaZnOyHBhMYjHqN0syMvjtcIySCICCKIkvRJTJeqNcxZSCUMDHgmSv6O2+8sPIqo5XATjq90t0kBXfBNSAi5aRDA9EAJtG4fnqiIOIwb4qOFYlqCWnt9H7LiRLtjBVknuMMg/Rwkznu4uceAeKksGlmBmJuus58rjxiVCJqlsbagzgkI2XA4wGPNgN/+vvwSQtaS2tZ81Wnc5lrPtd6qLBUQZ5MVGOdKFWsJ10j4bK5tj5ptyMuGkgl42gGbaOgLAdasDKEl5vMbSUjFRaYKnVizIwUyQ0RTn3qFjf+7CyLk83Y3LMsx5a3jSRpqkh07ggG2UvLQ5cJm2cwmWVAQAQcmJlihR6U9ZSWosxw//7ptU26AFYZwhGYnwPzQ+spG5NoYimSQUYURddYWNvdaxokUiJdzqUt51UQVVIZ3SnK7fTK1U2ymzvOotOha916mt9PKnQPQUuBsABmC8gyVpsNbzK0ER0rErUS0qrIe5dpZ+zBkTWfaGgI4SmYbYSeT+/8vIpE1dNYexSHZKRcZIQKy72/upUlXjM+jBaOIMzNlU1GqrVOlCrW44/4kcQ8rp1mM6rNhmk5iCAVDnsLCBiRmGDTgllFgalisTlS5O7ycvYzN7j9ndNM3nUStThoaIrnfK2mQTLUSGypGdk1i9Lzb0nKPyQlywhsyLpbMeAlu76mrW0ciyVEONyIzbYMCHpqb3VVJ2hr10MUxGwb97Y2XfI1HAabDV/YiiJHGWibLe2LV0lldKfYL7bs26ZD0916U5MQiSJIElKDSlJYqwuKrcByAMFgQLKLLNnmobmn6M/fM0JaFbQzFhB2rQ6qqmmsPYpDMlIuSgwV5sJA2yxOSx++YCOtSyXuVDNQzXWiFLGeQDSASTLlfT7hsOKJiHqff0szFIiO2DFmk5EaCExth3yRonSnw9X/bCb0fgfh6aOIUgrJEkEQU2iqRCoqo6YkjLYQzaeu09L/ClHfO6REIyICyQwyIiAgIbLEBgl0OPx0dLzH2NjTyHIQUVT1sWc2wcqKPgDMZlRNxSRkLGoOh+7GNzZGyqwXVg/2jhUveAZ1QQJzYT/ZshdMh87P622o6W49twsQaCLKJCuwXhCu70qMK6ssRd8Da8+2wl5p7BkhraJNw4rELtdBVSWNtUdRot/oPoWWw2xsO5QZKsyExxHiXMckMwkXqcVAWe+RXieefro660S30r0evi0ETdNIaam86RdN00iJAs7OR/Wdum8RNDXv+xkQiZNCY23nNzpaNYGpYpGOFKW01Jbn5IYIjqe/xdHP/N94nnmZxt4hJHkVQUohyas09r6L55mXefjC7+P5xMsYtRnUVBLJYMKJTJzs9zQibamv6et7A0WZxe8/sjFkjUY9LBbSyUVcjW+1ce/rQ2tyMv7ARJfTz4W+O8V/6ToggfmQTm20WFt29D4t1hb8ET8354qUyK8wCqZD0916K0FduM5qI03iFWRSqPo9AvrjRhOibCWViKHd+IH++iI+f08JaXV2ro/3HSMUqqvU40ElInBQIyNrhkpZrXsmkz7Iu7u3b92rYKjwQt8dRu5bGfcrHFc1BLGUdq/qrxPFivUIgoAkSCTJ3VIYToaRjTJtR/vA/pC+0/N69Z2e1crmKEkSFZtmQqiywFSpyBcpSpMxU+MiDtdbGY/n2XRFIiRE8CDjxMJ9AnoOe+06iAhrVGzjMVkOcurUd7hx4zMsLnagKNN6hEQUIKr74aiqusXGPWWSGW96iqaVd7nY+BcoJguw+yqjO8V+sWXPmw4Nh/X7JBrNGUlsw44FA2ES2NiISKqAyWJF8MXyCntlYs8JadW52/IhysPBioz4/fDSS/DFL+p/r13TQ9yJhP732rXs5/3+3O+TDhWmtu6QS4UiR7jY/QZNcpzRMaHot6xVsCAt1jMTnCGlFj65JksT8dTWeglVUwnGghxtOKoX1bnd+gTZ0wvJFMx7db+IlWUIBWFlmdCKj66ZsO5INzio91XXgYV9vkhRmoxpbH489/tosQgpScCJJWtRSUNFQ0LYEmlyu+9x9uyf0dDgw+t9mNXVRjRRgkiEcGKN8K3ZuGsaLCzo2jhHHmvi+S+10f+Yqj+wsJA/Ipj1wiO1tYUuAfvJlr2zqZNQfNNu/84dPTXTrJArpenATAeNBImjZoy7BCmcyPrrlpb0WpM8SAtpPX306b1Tm5BpGrYT1Gkd1EHFwYmM5DBUKij3vKaSmnc33tmpk5cKoN80yvM/0cfl2EfrQY16C4oV61FkhfuB+1l5T03T8Ef8KLJCX0vfxsGyrLcz9/RkefmQSqEZjSQamun6yE/Ds79SV3UKhSJFTZYmJlcm87wyA5pGWE0gY6AN+/qiMsYiMnoNSYIUHnIvtG73Pc6f/4+MjJxnauoxvIEeBCnFqlHgYeUoAa+DqZxiob3w7IZYjvbuEIKp9iqjlcB+s2Xf4l0SDOrFqg6HLtCVB320sEAYPxGa10QCU6g4sWwR9tpcIL9nhbTq3G35EOXhYJCRPIZKObFJJZVLl3LvDCscKuz/eCMvPr3ratQ5UaxYT5u9DYvBQjgRxmayoWoq/ogfi8HCKfepbM+UNByO7ElyrbdeScUYePZXoM52a4VknXORsVxQ0QhKSXpjdhxGvfgwc1FRsGwsKHkgy0HOnHmZnp7rzE60c2fVjew4T09rJw3W3GKhenZS4W7kOe5J/z3xhA9TYIlO7z26bXMMtM/jOd9aVZXRSmG/2bJvIblzcxCJrhWr5oeMkdO4ucEMi0SwYEDGSFuayFqteuRxU7fenhfSqnO35UOUjv1PRrYxVMoLSdKPHx3VX//ii9krf2aosLV846PMUOEuq1EXRDFiPQ6zg47GDkZ9o2hohOIhFFnhlPsUbntxVf0pTa17/4V8kaLNZCwX1iNFpkb6lsykFe8zF5VZQtgwbSwoBWB1+FAf/iFPuo/x/Oc+w0mXZcsQ9/t1kvvmm3rU3mQCu92OdMRONPUw10IDvBbXcKYEzlngwtN1GQzZgv1ky76F5KYNDgt0nKXhxs5Z2nmHOR4Q4AQt2NdrSASQRP2HZx8JadWp2/Ihysf+JyPbGCoVhCDog3x4WJ/Nn8vQIahiqHCX1Ki3RTFiPZIgoaJHRB5rfYxHWx/NHRHJgb0SNs4XKUqTsbHFMWSjvEWFNitSpDyEPD0BaKQXHDd2ztDGq9xHAKIksWPK2aGUdjue0YJ0xc1cfOQXcy4qxWcnhaKyk/WE/WbLnkVyA0sIpvxt8pvhwsYRHDRixo0tW/bckiQZeEDI59hfQlp15rZ8iJ1B0Lbr2awDrKys0NjYyPLyMg0NDdu/II2ZGfit39JbSXcSvVhY0Aspv/SlbJbg98OXvwzT0+WFCkdH9QLBzVGXPYB8zqhdzi5ERN6cfpNEKlGW/8K28tx1gs1+KC3WFqLJKK8/eJ1gLLhuFKhpGuFkmGAsuBEp0qzw2qt6Ds6qR1E0NEZZpBmZXpoZwoufyMaigkgSlRAJEqRQkHk62MiF4FGUf/b/3RIuy8xOlrNxrNO61XXMBmf54qtfxGKw7MiWfWF1gVgqxpee/dKuR+OG5oe49INLBP7mFXoSdiR747avSaEyjp8mLDzPWVqwZsueh1cwCUa6LvwyXflci/cy0qG/69f1/18ov/3003VbB7VfUez6vb/JyMsv610x+baDxULT9Jn9uefg05tkg/f7jF8kNu9Ocy3UxfovlKOmuVtIO8Ven7qOP+LHKBmJJ+OMLo4STUaxGCxomoZslDnacJS+lr6NSNE778D4GLhcpASyFpR+3MwS3OKlYUKiCyddOBlIteIZ/lCPrGVG7dCzk1/5yv7nyS+98xJXx65u60mTDyk1xbB3mMHewV1VYM3E0PwQl792kQl1kXa5dcNpdhPWo2ME6ULhIqfoZ2s6VJt8gNDYBL/7uzU4+11EPsmGrq49UQe1X1Hs+r2/0zQVUEkF9NcbjXqsezMOQ4XAVrGeUvwXLAYLxxqP0Wpt5d/d+nfrUZbOpk6663wnl0/W2WKwMOYfI5FKcKzhGL3NvTRYNt2IfX1oPi++wCwzTRJdQvaCktNLI70oaRqMj+YtwqtWdrLesB9t2fvd/bzY9ne58v6fcl1OZadcckTHBunlAn0o5E6HCqFVGNiZEeeeQL3mtw9RFPZ3ZOSFF3T9kKNHd34Sk5PQ2Jh/d3EYKsyLfCkdt83NTHAG76qXWCqGSTJhN9mRBImUliIUDxFPxXFanJzrOLenctyaprEUXdoSNdlCxpYWUT6Y4umAgwuuT6BIRehmbBNZq3Z2st6Q6dq7b9KCa1Hd2f6HuSnM54+O0bbVTDIThaK6hzhEDXAYGamgSiqwvaFSPbfC7DJy+S8Me4e5fPsyD5YfFJXGuTp2lRHfyJ6p/hcEoTgzrFNdDJyy4PnWVRi+W5HIWoaH447Q0qKvYzdv1veQ3Ze27Gvdeh5fDE/rhuFdVnSsGNRS2OswEnGIHWD/kpHdMlQ6DBVui2Hv8PpOdrtcvyAItNpacVqcfLD0AZduXKrPnWwBFGWG9cjpionM1CI7WW/Yd7bsebr1SiIi1Rb22qmtxiEOkYH9S0agoiqphELl7S4OiUgWFsOLXL59mUA0UDDHH4wFmQvN4Y/6CUQCpLQUkiAxlhpjfnWeL//ol3m09dEan31lkPM7VzCyVgEPx3XY7XuDjMDu2bJXTbW1XoW9cgvX6IQpGtXn3Nde03WYzp3bfynpww1mVbC/ycihoVLd4dt3vs2EfyJvx0wkEWHEN8Lk8iTRZBRJlNbN0JJqkmgyyltTb/Erf/ErXDx9sb53t+Vgh5G1Wmcn6xHVtmXPVwNV8YLrehT2qrStxl7AYQSoJtjfZKQKKql7Ebvlt7EZM8EZ3px8k3ZHe87UzHxontvzt/FH/DjMDlxm15bzbjA3YDVY8Uf8/On7f7qn6kjKQom/225lJ+sZlRr76TbuNyffZCm6lFVwHU1GuTZ5jdfuv1bZgut66tarhq1GPeOgR4BqjLLIyKVLl/jqV7/K3Nwcp06d4utf/zpPPvnktq/7wz/8Q37hF36Bn/qpn+LP/uzPyvno0nBADZVqtnMrEbfmbrEUXaLftXVCmg/Nc2PmBtFkFJfNtUW9NBM2k43VxCqN5kamV6b3ZB1JNVEP2cn9hs26Of2u/ooXXOeNPvX364Ivu2lcVS1bjXrFQYwA7TJKJiPf+ta3eOGFF/jmN7/JU089xde+9jU++clPMjo6isuV39Tp/v37/ON//I85f/78jk64ZNRr3rVCyIx67MrOrQTc9d9dT7lkIpwIc3v+NtFkdF21tBAEQUAURVbiK5xtP8vo4iiXb1/mxfMv7q+UTZk4zE5WFpmtw8UWXCuywrh/vCBRLin6v9vdegdFuAYOXgSoTlCyzshTTz3F2bNn+cY3vgGAqqp0dHTwhS98gV//9V/P+ZpUKsUzzzzDP/yH/5A33niDQCBQUmSkbJ2RNPaRSmq+qIdZMnNn8Q7RRJQuZ1ddtja+8F9fYCW2wtGGbN2Xd2bfYWxxbNuISCaWo8tYDBY++cgn61JFczcxOwtf/OLB0RmpJhbDi3zl+19hemW6LFG10cVRjjQcySLKhaL/qZQe5IjHi4z+16KY5yAJ1xwU6eIaotj1u7iZfw3xeJy3336bH/uxH9t4A1Hkx37sx3jzzTfzvu6f//N/jsvl4pd/+ZeL+pxYLMbKykrWfztCOu965IjOzhcW9IGTC5qmPz88rB9fJ0TEH/Hz0jsv8cVXv8hL77zEtclrrMRWSKQS3A/c54/f/2NuTN9gJjjD5MpkXmv19M7tpOvkeopjaH6o6uevaRrxVBxJyCaCwViQyeVJHGZH0UQEQBREUloKTdOQRIl2RzvXp64zG5yt9KnvOaSzkzMz+uJWDtLZyaefrt91oxZIF1z3KD0l154IgkCP0sOEf4IrI1cAfV/05S/rUX2LRZ9aTpzQdRk9Hv3viRP64xaLftyXv6y/Ls+H7PAbFoG0cE1Ly87ep6VFZ2I3b1bktKqCdASop6f8CNDEhM42D1ESSiIjPp+PVCqF253tf+B2u5mbm8v5mu9///v8/u//Pr/3e79X9Of8zu/8Do2Njev/dXR0lHKauZHOuw4O6ux8aEhP30xO6lvJyUn930ND+vODg/rxdUBEhuaH+PIbX+bq2FUsBgv9rn5OtJzgaMNRGi2NzAZnsRgsdDV1YZJMjC2O8fqD15kPzed9T0mUON58nEA0wOXbl/FH/FX9DoIgYJJMpLTs1XEuNEc0GcVqsJb0fqqmIgnS+gLRYm3BH/Fzc66OJ7oa4sIFPWo/Pp6fd+fDHshO1gTbFVwXg0yi/Or1BS5d0jfdJ0/qQYZ86106+n/ypH78pUsFCEm1cVCEa2Zm9HBVe3v57WiSpL/++nV9XTlE0SiJjJSKYDDIP/gH/4Df+73fo6UEVv0bv/EbLC8vr/83OTlZmRNK512/9CX978c/rku8G4363/Pns5+vgzBbOl89vTLNSddJWm2thOIhxhfHeWv6Lf7k/T/hju8OS5ElZkIzRJNRmixNBGNBbszcKEhIcu3cKo3MLGBnUyeheCjreX/UjyRKJe8642ocp+xc/7cgCBglIxNLdTrR1RjprtCmJj1yXGyEJJXSj69GV+heQ7rgusW6s4hAi7WFWW+cr/+b4Hr9Z7FrXbr+MxDQ6yn91d0z5MZBEa45SBGgOkRJBawtLS1IksT8fPYCNz8/T1tb25bj7969y/379/nJn/zJ9cdUVdU/2GBgdHSU7u7uLa8zm82YzeZSTq007BGV1M0CYdFklJH5DQ0OVVNZji5jkAyomspKbIVANIBBNNBgbiCpJrk1f4tnzM9sOMVuQubObbBncMddNoU6efwRPyuxlayi20AkgEkylfQZmqahqipOizPrcbvRvi/JSLnDs566Qvci8hVclwpBEPC+/VHiExr/3fk9Vv95kIRrDkoEqE5REhkxmUw88cQTvPLKK3zmM58BdHLxyiuv8PnPf37L8SdOnGBoU2zxi1/8IsFgkH/5L/9lZdIvlUC93RRryBQI8656t2hw+KN+BEHAarCuT5iappFQE/gjfiyShVgyxohvhDOe/K6dLdYWhrxD3Jy7WTYZKaaTZyW2wgf+D4gkIjx55EksBgspLVXyZB9OhJGNMm32bAJsEA3EU/G60VUpF5XUWKqHrtC9inuBe9hNO48IBH0Olscfw+qYRZK2br6KQWb0v6YqAwdJuOagRIDqFCW39r7wwgt89rOf5SMf+QhPPvkkX/va11hdXeVzn/scAL/0S7/EkSNH+J3f+R0sFgsnT57Men1TUxPAlscPkY3MfLUv7MupwRFNRBEFMWvhTddmGEUjkWSEmBpjfHGcHqUHhzm3u+dOUxylaDBEEhHu+O4QToY503YGSZBIqsmiP0vVVILxIL3NvVu+T1JNYjPZ9iwRqZbG0m53he5F5Cu4LgdzH7SRCNswuuZ2RJR3zbjwIAjX1DACtNc3S9VCyWTk53/+51lYWOC3f/u3mZub4/Tp03znO99ZL2p98OABoljVUpQDgXS+utvZzbXJazk1OCLJSN7JUhAEZINMJBlhfnWeD5c/5KQrPwEsN8VRqgbDk0eeJJKIMBOc4QepHyAbZOKpeFGfpWka/ogfp+ykr6Vvy/OhRIgBTx1OdEWgFhpLeyQ7WRdIk/p8XWmlwD/jBDGBoUBtVDG/xa5F/w+CcE0VI0D1KkJZbyhLgfXzn/98zrQMwPe+972Cr718+XI5H3ngkM5Xjy6O4o/4cdmypdE1TduWYacJiT/qZ9Q3WpCMlJPiKNb0LhOyUWbAM0BiJsHC6gKyUS7qu6iaqqeeDBZOu09vqYHRNI1EKkGXsw4num2wWxpLh0SkMDqbOrk2ufOIQGC2CcyhrILrYBDm5vRoWCCgFw5Lkl44rCjQ1gaOHIHMXYn+HxRbjQpHgPynernyzkt1K0JZb9jf3jR7GPcC9xAEIa8GhyAICIKwXhCcD4IgYJbMzK/OE4wF86ZqyklxbGd6lw9uu5sn25/k5uxNJpYmkESJRnMjNpNty7GaphFOhAnGgzhlJ6fdp3Hb3VuO84V9KLLCQNvuT3QlEbpaq2wfhkOKRrfSzWv3X9tRWF3TIJmQQEjitDiJRDYUBaJR/XdM10wmk/rj9+/rGiMdHdDXB3IG796V+s+DYqtRwQjQkOTjsuk6E2NUzT5gv+GQjNQh0vnqQCSg14mYc8vsywaZ5djytu9nFI1Ek1FmQ7N5yUipKY6dajC47W4+8fAnkI0y7y+8z4OVBzTLzZglMwIiGipxNY6qqshGmd7mXvpa+nJ2BaXUFDPBGQZ7d94NVA52Eoatusr2oeNo2RhoG8BpceIL+2i1lRcREASICyFMghUp3M4bb+vREIcDXK78qbhwGMbG9GDCqVOQlnbatfrPfW6rAVQsAjS0NMql9mkCNjsnXY9XzD5gv+OQjNQh0vnqQDSwVYMjg7VbjBaWokvb7tw0NERBJBAN5H6+jBRHIdO7YiEbZZ556BmSK6347nawMu8itdhBKmlAMiRxegK4O0Icfyycd73UNI1x/zhdShcX+mo70e3UC6jSGktZm85Dx9Edw+PwcK7jHFfHrqLISlmkO6Wm0BonMMx/ivdv24hGdRJSqKxOEHTCIcv6z3jjBpw9qxOSXav/TAvXXLqkh+PKsdWod+GaCkSAFlNBLqd+SKDVyfGjp4uOqKVFKA+yz9YhGalTdDZ1cnX8KjbNqMfyIxGIRUHVQBTAbMFuNmDQRJJqEqNkzPteKS2FbJRZiizlfL6cFEclNBgiKzIjb5xg6u1PYEq4sAgRVGOQJpsdNAPxKRPz90SWb0bpeGySvvN3kBsiG99LTTHuH6fJ0sTFUxdrevNWwsU1rbG0Uz2PLV0Wh46jFcOFvguM+EYY94+X5U0z7h+no72HkTc8CDI0NxcfVBBF/fjFRbh9W9do3NX6zx0I12if/SzCXhhbO4wAfdv7OhOtcPLkJ8q2Dxj2DnNl5MqB89k6JCN1ii5DK4klP0JEhYQAgqgzdQFIArEVzJpKoynOojmMwdqEYNj6c6aLQ9OaHpujKOWmOHaqwTA/4eL2d07jn3FiaZih0TPNgOc0t+ZvsRSZwGFy0NxiBQTCy1bG3uzF92Erpz51C1fn/K6Z/UHlXFyrorF06DhaUSiywsVTF7l04xKji6P0KD1FRUgyifIR048xnDRgNuf5rQvUKAiC/vN4vXqEJJ1Z2zUUKVwzqwW56Upx9xMK9zojxKf+DabZGnWQ7KTmYwcRoJl77/LmkSDtvR9BspU3N1ZahHIv4ZCM1COGhjjz/7yG1RAjbJRwmBrQWchmaLQkDIRjy0SSi8i2JoRNyrUJNYFRNGIxWLK8XKD8FMdONRjmJ1zc+LOzREMWXJ1eVpNhVCRcNhfPHHuGEd8IUytTeFe9iKKIyWJCbvcyN+ti/g97ePhvj9F5PMZg72DNK9DL6SCC3GHYe/eUymosvReBe5drWA17MNDv7uf5s89z+fZlhr3DtDvai3bF/rT7Of7Tt9vp6tLLd2w2EBMxPd8Siegps/TiabHouRm7HTLuY1Hc6KKpi/rPAsI1frvElb4Ib8pJluwGTDYNuxBHSlWxg6TSdVFlRoBu9YosPXKU/o7jO/o6lRCh3Is4JCP1hrWdrSewTP/xDl4XJmkln4mQgNFowY3ATDJAZDWAzAYhSZOGZrkZDS2rtXAnKY6daDCEl2Vuf+c00ZCF5o5FBAHUhIpJ0FM+slHmjOcMPUoPc6E5/BE/gWiAlJbCdWyJuLeThpF/xAs/Z+XRh7ZaEFQb5XYQQXYY9k/fv0I8/lxlNZbuTKA1TiD0V6sa9uCi393Pi+df5MrIFa5PXWfIO4RRMmI32jGIBpJqklAiRCKVQJGVdaJ8/TWFpSW95uON1xL4PwjSrHoRkkmdZWQOgJUVnUgaDLpXVksLGI1oms5bTCa9w6ZusEm4ZmjuXS6/+++Z8M/S7uihfxvCtuMOkmrWRZUhXXy324dp8VZF7AMOos/WIRmpJ2zq8/yMkOSHzLFImBasCDmjI2DHTLuhifnEMqvhAGaxEUkyEU1FsRgs6462Totzy86t3ImgkAZDoSjpne+fwD/rxPWwd/2YuBrHI2fvABxmR1bnTzq9lOrS18u/+W/waI3Xy0q6uL41fR2J/55UqjKhkeTKKraFKYRHq1ENewjQUzbPnXmOwZ7BLd1TNpONAc8AXc6urBREOhVnDc5zOv4BN8JuFsUGFHs8dxFrWhhscRFWV1HdbfhjdmRZJyILC7X9zsViaH6ISz/81ztOXRb/gTWoiypRuvjef32hIvYBsH99tgrhkIzUEzb1eT7DQ/TTyiiLLBJBQUYsQEjMRgVfLMByJEzQGMYgGlBkhUA0sC6jPuQdytq5lRsizdRgCPkdzI178M84Ccw2rXfDNHkCKO1LtPXM4mgOEfQ5mHyvA0dzEFHS3Xzzmd5tRnq3sZvrZSU6iGAjDOtyfkho/LGKnFtoepkB6UFlHEd3RXN878Dj8GSFzwt1s927B/a43hLjTkU5223klteMN2zDYYpjNSay19A1JVDNYCQcShG8G8T5kMDpszbi8fq0O6lk6rKo+ajWdVFFSBdX0j4A9o/PVik4JCP1ghx9nh4cfJpelhkiRAIvqzgwYcWYM0piQKJBspKKR2lqcNPicJNUk3hXvXQr3fx4949v2bmVi4G2AayJo7z+7R4CHzxKNGhBMqqY5DiCqJKMW5gcPsb9mw9jcfTR8dgkJjlONGjB1eVdf598pneFsFvrZSVdXI2SEUGZIB5/rDIq28thuhoXDx1HdwGFJN7jKxGkD+6AGoXmZtxCmGcsHzLia2FqpRHvqg1R1DCJKURBQ9UE4qqEqgrIpgS94jR9phHkhnPMBuS6NLytVOqyqA6SmqsE5jzpHA/tzD5g82+61322ysEhGakX5OnzvEAfI/i4xxIurEwTxMsqIiImREQEVDTiqKioyAYDj65Y6ZNPYel6jNHFUT567KN88ZkvVrTQ03ffg/c7z3FnNMyR9jiurpX8Ak5r3TCxVTOSMbV+XCHTu0LYrfWyUi6uoIdhU+4f4nT+ZGVUtlM+Bo4uAMVfx/wnd+g4WgkIApg+/IDo8io8pKyvNrIxyRnPHD2Kn7mQHX9EJhC1kNJETEIKjxzCaYnQZg/hMEb1VpqREZKtZ+rO8LaSqcuiOkiqrhJYPkqxDwgu2gtGk4PNswyc2nvWFjvBIRkpAVXdkeTp81SQucgpLnGDAFGe4RgLhPETIUCUFBomBDzIOLHQhh1HfIVUIMTo4ihNliY+d/pzFSUi6SipPXqcYz1/zWpyBRvN5Or4EQSwNYWRHRHe/96jIECTJ4CtKVTQ9G471Hq9rEYY1ti0yOlzGlevCjtT2Z7WGHTdxeMIUREysiua4/sQMzN0Bt/lmvE4iKEtTzvMcRxm//q/c19uUZdrnZoiRB8DA1sViHcTlU5dFuwgqapK4M5RjH1AWltp8r2OgtHksMFN54IL/yMHp7HtkIwUQE2VtO/dQ7PZc1aE9OPmec5ymdtM4KcdB4+gICCgoWWlbDQ0FiwqMysf0NXwUxXX4MiMkvY/Zsa9eoobMzdYjCyiyMoWD500BFHDZNXTNLMfuHD0zGC35ja9Kwa1Xi8r6eIKG2HYCxeEnatsdwtciIxAPFWRc9s9zfF9hlu36Bbv8ZpxAE0LFeXKmxNWK9q8l8TiMl1d9UVGKp26LFi0WTWVwMpgO/uATG0lR0sQV5c3528eiq0iLMuM/U0vX148OFqEh2QkB2qlpL1Odj7QuPfqIPGEiOl9M51NAbqVJQbaZtd2uzoheZHzXGGE60wxhBcjEnaMGBBJohIiQYIUiqgxGD3GhY//Joq1uaLXZnOU1G13c7b9LLfmb+Fd9eIwObAarVsmJ0EAUVIRLKssB0TMc92c/XhrTtO7YrAb62WlXFxhwwuoYirb33Ojff+DPOXNpZ7cbmmO7zFsx4Tv3mWgdQpnJIovbKXVFi7vcwQBX7IRRV1kYKD27eyFUOnUZUEyUhWVwMqhkH3AZm2ldAH/ZqiaSigRpPeoh1Nuy4HSIjwkI5tQi46xrWRHwJ60IaWiRGMWrk0e47X7D+O09HGuY5ILfXdQZL2b5jnOMEgPN5njLn7uESBOChsmBvDQhZOBJVUPdVaYiGRGSUVRI52WcdvdPGPOIVYmmhAFEVXTTe8SJgdqqI2WRhP2qAerVv7w2431shIurrDVC6hclW23Gx5/HL73Pfh3rw4Sv92N6UFTTjJbwsntsuZ4HaPUUOm9e3hak5zTJrk61osiR5DE3ItQIaRUgZmEi0H7EB5PZbqvKoGad5Dcu0dlVQIrn+fNZR+QS1tpC2IxtFAIf9iHMwZ9D6aQpAWONzYxOtvB5UsNvPgV+75O2RySkQzUomMsL9lZFmDSBw36cZoGvrCVq2O9jPhauXjqFv1uvQvFgwNPRm3A5lQNKyNQ4eKn2eAsv3d1ih9OOJHb76IGUkiCRJOlCUVWaLO35RUrMwkmPLKH1o42piMuPC1GFhZgbk5Ph5eK3VovK+HiCrm9gErRWLJaoaFB//d3v7sWubO4kYwPiAY0rgVzk9niTs6nD+rDyMgGygmVOp06WZEkLvTdYcTXyrhf4XhznsUoDzQNxv0KXY1zXHjoHdB+vm7SZ9VKXeYkIpq2fj0rgirleXPZB+TSVlpHIgE+H+pKAL8WwaIZOJ1yI2sCJGMIU5P0JB8wfL+bK5EQz/2fJ/dtEckhGVlDLTrGCpIdRYH799dvDkGAVlsYRY4w7le4dOMsz5+9sU5IMpFFRCq8Umc60/7wb55mKf4YkhpDQCBJksmVSe4H7mMxWOho7KCvpY+e5p6M09nY5QQbYHlKV5OUJH1eLwe7tV5WysU1nxdQMRpLoqibpnm9Opnt7k6PVRusNui+80oMTRDzktn8J5fSQy6Hgmcb2Emo1GSCaBRFjnDx1C0u3TjL6GIzPYq/qAhJShUY9ys0WaJc7HgDpSFZN0QkjWqkLnNiTX+FaGWITzXzvJn2ATfuTPPh7b+DQ1nZmpoJhdDm5wjHQgRNAk6pgdNCG26yoz+SptG+GOT69+IM/sa/wvP5n9mXOZsCRtYHC+laiJ6e8jvGJib0DVQubCY7Wwh+W5vuTRHOzitLosbx5kUCUQuXb5/GH9mmgK2CK/XQ/BBffuPLXB27isVgwRp6jJYmCw3mBhxmBw3mBlqsLbhsLgyigbHFMV5/8Drzofn198jc5TgcuopkMKhvTMohI+n18umnd2e9vNB3gS6li3H/OJpWWsi9WC8gjwc+/Wn4whfgd38Xvv51/e8nPgHvvgvLyzqZbW3dNFb7+vQdud+PgEarLcxJl5fpFQeXbpxlaN5V6OTWqmG79J39ITZ2D9PTeS54BtKh0pMn9eMvXdL9ZUJrNV9uL8+fvcGRhiDDXhcLq1byDR9Ng4VVK8NeF0cagvomxDRal6mzbqV7PbWyE2xOXeZEZ+f69dwxQqGqXs+0fcDx5M8RCZoJGu6zEF5gObpMMBZkOTDHwtxdvMkVUrKFXoOLZ4SHthARAASBlmYNv9zOzRGLPraGhqp27ruFQzJChTvG3tSYnd36/LZkJ3OlVtWspwQBehQ/E34nV0ZO5D+JCq7UaWfa6ZVpTrpO0mJtJZU0IIjqlmMFQcBmsuGyuQjGgtyYuZFFSDKRXi+DQX1zUsocVg/rZToM22RpYnRxlJRaXAdLSk2tt1qX7gVUBJkF3WTt9Gmd1C4ugqoWR2ZTKT20t14Nuz/DwCWhqAueA+lQaSAAd+7oi97aIO93e3nx/BsM9o4RSxkY8roY8bUwudzAbNDO5HIDI74WhrwuYikDg71jvHj+Dfpd83Vbx5OZutwJcqUut6C7eyO1shPUKM+ryAqPCJ/iVPujPNF+hmMNx3TDUlXDsrjMQ1ELZ0wP8azQyRk8yBjzvpcggNGgMWHr18fW5ct6+nAf4TBNww47xoJBvfjB76dlKcDQgpubv3oDz49G14vaZjRPcWSnr083n/D7obk5i7VIoka7I8j1qQ4Ge8a3FiZWcKXOJ+8sGZIk45a8rxMFkWa5mcXIIrfmb/GM+Zktbbvp9fK113RfMFUts3ukzPWyEininbi4lttqXbTWk9utu7LduqXnchwOBKuVHsXPsNfFlZETPHfmZvrkNqphu7oOTg9hMaiEuNYPf6jPDxmqdooc4bkzNxnsGefmnIe7fif3Ak3EUwZspjgDnjm6nJuKjxfqt46n2qnLLAwM6DuZiqgE1uZ63rsHrU6Zo5mp67ffRlgIg8sFeaQQcsFujDMRcMJH9qeh5SEZocyOsUhEzw1PTup5TElCMJkwkmBi3grXXlkvartl/7sszT9L/xPmwu+ZXqlv3NB3ZopCpptWizXMkNfFzTkPHsf4xusqtVKvIZ+8c5MnwOTwsYKvFQQBRVbwrnoZ8Y1wxnNmyzFuNzz8sL7JKaV7pJz1slpaMeW6uJYjPldy5M7thmee0cfn1BR4vUiiSLuQ5PpYM4O2FTzqdJbjaNn96fsRlQqVdnXpBT4TE2xWtfM4Qln3cF6SvAfqeHJ1kBSLYlOXgP79z53T63J2pBJYm+uZs+Y2GESYmtIj4TmdEvPDIKrEUwY0UULYh4aWh2SEPB1jhbbQ8/Mb4RSHY43h6sfaNYkJrRNOnFhfSe++Nokp9j5CR7u+UBRCjp0tVut6UatRUplYcm6cY4V3toXknZX2Je7ffHjb6IIoiDhMDqZWpuhRerZIvWua/pU+9zl941ikQ3dJ62UttGLKcXEtB2VF7mQZzpzRd+hZkbtmbkb78PytrizH0UNkoJLiWk1N+sDeRtUu58P1kJcsArk6SIqJkKTUFOP+8bypy5zzzIUL7FwlsDbXM2fN7dyc/oCrQP1WHiRVEZsprn/lSgu31YHa8oEnI+vsNbYK4zP6KhYI6AxakvTJRFH0AlOHQyciN25sDKhN7HadvWprxZutrdyzPoo9tAQ3pnWiUQwh2bSzRRTBZMKeMDDxQALHSFV2toXkndt6ZrE4+ggvW7E1FRZwshqteFe9zIXmtpCRdJT0mWf0+6hIh+6iUQutmEyU4uJaDnak9eRwrPdPC4BxRGPi/Gn4fMVOb/+hkuJaNps+iJeWilK1W2/Tr3C0s9qoROqyuChmpVQCa3M9Ozv1jc86/H79fMsYW6GEiQHPnP6PnQq31VRevDgceDIiLPkxjU4T/XAJpFl9oKQnomRST8Pcv68XBbrdevokGt1S05FGFntljeyoRiSnCaJ+fdf1zDP6zrUQcuxsCQQwxCFusKF9/DxCd+V3toXknR3NIToem2TszV5kRySviiDoREwURZai2S0zuaKkRTh0F41au4vnft/K7jAqq/UkHHrgbYdKi2vFYnlV7WYJbhIwTGIKx+lc0uh+qJuBn/k5PHukjqfc1CURhZdeKiWK2Y9SjkrgLtRFdXfr574+pwUC+hcsEZoGiZRIlzNjPi1HuK1W8uJl4GCTkbUtdOf8Ca6pA+Bx5R/Q4bBOJOJxnT3mWXCy2CtroTopSTRp0X/UNQdOzmytpciJjJ0tQPKBhq1JQPjCx0v5pkWjkLyzpkHf+Tv4PmzFP63kVxNcg0k0sRRZynp9MVHSctfyenAXrzT2iNbT/kG1LvjJk1mqdv733+aKMs+bDcssSQlMKtjjIKUgajFx7ZEGXmtP4Jz9A869M1F2vVGtUWrqsvwoZj/9xaoEFhE9rnQ0M42smtsWTd+NlfE5C6tWFDnKQFtGq2apN3OtQ8Yl4uCSkYwtdPdjp3jtlhWNUG5vD0HQf/h0S9nsrP7Ypt1TTvYKdDYFuDZ5TE+1rDlw0tNTlvxoaFVgoEgeUyo2yzvns7mWjCliq2bmPnDj7srvsyAKIikthaZpqKpQ9ShpHbuLl42ceecdMIlDD7ytyLqc1RTXWlO1GzrXxeU3vs6EP0Z7yEp/0oggGaDdqa9caynhdDrj6thVRnwjFTe9rCaKSV3uPIqp0L+dSmCePO9scHYLWTJJJjqbOulWunPWeZVDWLJrbgUkSdLHxDYIxkzMhez4oxaWwjLeVRvdip8/ef/RDauHUm7meggZb4ODSUY2baEHQl6cd7YxswqFIJVCc9gRIlG9dsRs1tn4GnzhHOwV6FaWeO3+WuGn1apHR8rQQq92e3xa3nl5SeKd1wfy2lzHIyaSCYlVbyPL3kY8PbM0tAa33BOqpmLEhM8nVD1KWufu4jtCZ/My1364CtOTheuZisChB14R6XLlMTwz/60yH7bpgg/ND3Hp3h8RaDFzsven9ELPPORSEARaba0ossK4f5xLNy7x/Nnn9wwhycTmRbyiUcwS8ryZitJL0SVMkgm7yY4kSESTUa5NXuO1+6/htDh5tPVRjjYcxbvqLZqw5EJWzW1jE8LUZN5jIwnDmvZMI9GkhChAJGnAbo7TZl/N9i0z2LnwsxLb7uv2SMj4YJKRTVtojyPEuY7cZlZBYswRwi/NEvCESRljSBo0ra6iBFXalGM4MOtmVkEHg71jWzRABtpmcVr6NsiOKJYlP1qL9niz7yP84A8bEJa6C9pcN3fAyoKD2TEP0yNHWZ4PYW2IYJTjiJKKmhLxLRtpNrURk6vfPVrn7uLlYS2/2/3XIV67+xRa0zSCOU89U0eHrlNToBbpoHvgFZ0uD/045xaiXDgWRLHuIEKy6YLn0+/ZbnGQRInjzccZXRzl8u3LvHj+xT2RsimEqkYx87zh0PwQl29fZsI/QbujnX5Xf85IRzge5sbMDb478V1MkolupZujDUdzEpZzHee2TaFlOXPPdtCTfICUgzDNh2zcnnfjj8g4zHFaTDGWojKKHOFs+wxu+yqQ9i2TuTp9mpHrLi4ObTPv7ZGQ8cEjI3m20JvNrKJCghF8TLJMlCSSYRUTa+uAoDHpULnPIpZUgqOiE6O/jy5liQt9d7Z85BayYzKVTEZqrFiJAAAAbeVJREFU0R4/NAS3/8vHWF18QGfXPFKB0SEI0OgK4mgOMT/hQk1KNLX7ScUNpJIGTJY4ivt9fvqjJn7lJ7qrvrDXubt46cjI7w60n8C5YMJnOLY1cpeuZxob0wXzTp/O2611kD3wSkmXL9xXuDp6jpG/8nPx3Nj2nj75sOmC59PvKQaCINCj9DDsHebKyBWeO1MnecQyUOsopqZpDHuHuXTjEoFogJOuk3lbj+dD89yav8VSZIkWawuxVAxf2EdnUyduuzvrPUtJoa07c19qYPh+N+2LQVqatfUxOB+ycWOmnWjSQKt1lWjSyELYhlOOcto9t05EYC2Lgg/FpTKuniqcRdlDIeODR0bybKEzzazeWrSzpAyxLK7iwIQLG0IsBmhA+geV0OJxQpLKzXADzZZ7/L1TwyhybnnwLLJjWkFIpYrO/deiPT4dyTPGXbR03CKqGrBh2/Z1oqTR9sg8i5PNqAkDz/yDN7A4IvjCC8RSMX7l2Z/AU4Yzb6nYA+7ixWNTftcjSZzzT+W2oU+3j8qyvvW/cSNn+/ge0M6qGrZLl2eIKK9lwWyI0hE+vN/ASKiDf/zRN/nRrvulfejaBZ/91Me4GbrJO3/9+/zhe3+IgMBcaC7L7Xpz63s+SKJEu6Od61PXGezZRq20jlHtKObmepCV2Ao3Z2+ioXGi+QThRDjnNZ8PzXNj5gbRZBSXzYUoiNg1O4uRRW7P3+a8+fy6onQ5KbT+fnjxK3auREJc/16coWQ7RoOGQUgx5HUTipuwGJL4wjZkY5Le5kX6WnzIxk01JqoKwSBSby/HT8uFsyh7KGR88LxpCmyh+91e/vbZ7zDbcIdpbwf21Xasmknv+xcEnYusQdMEwvEWVr29HG0I4jn7H/hv7j9niNyeLGmy02SJMhpwkxIMRRGRWtmGpCN5jz8qc6ypg2A8iKpt9aHJBUEA5Ygf/4yTkTdOoGq6vPPTR5+uyYRZzY6TmiOPJ8qFvjt0KUuM+5Xc5yWKert5NKpPQJHI+lN7RDurKihkMROJwDvvwKuv6n8nJ/Uu3FQK4vZmYpKNd6eb+Uff+Tv8y+tPbW9SmYam4b87zEvHV/mi8xYvvfMSfzXxV4TiIYyikVgqxuTKJO/MvsOr917lndl3iCQi278v0GJtwR/xc3PuZsnXol5QrSimP+LnpXde4ouvfpGX3nmJa5PXWImtML44zmJkkWgyys25mzmveTgR5tb8LaLJKM1yM+KaTHtaUdof8TPiG9lyDukUWiAa4PLty/gjhf1iFAWe+z9P8qVPXeM511/w8Y4P8a7aCMVNtFpXebhpmTOeWZ59+B5nPHNbiYim6azZ6YS+vu1NWvdQyPjgkZECW+hFwvyN+y/pOv+vGeh9GzVlxuvtxOc7xnLsKMFwK8urHnzL3XgDx0mpFnrb/opPnP8DnnL7CRDlMrfxk3tiWXfuNM4zHOlmYSH/gqdpetR9eBiOHNm+mHknC+fmSF5fSx9O2Yk/4i/ajVOUNBwtQSbfO8q7dxeKk3euENINEKniPOu2RTJZmfu3LORxVMwis4vNpNQcJ5fu2Fha0ivmqDyZ3RWCtgPkM6icn4c33tCzWwaDrl/Y0gINDXotcINioLXTQWejn9VVuHzrcb78xvnCzscAqRRD99/iy0cmuNqVwmJrpN/Vj81kw26y02BpKMrtOh8EQcAoGZlY2u08YvmoRhRzw2H8v2AxWOh39XOi5QSN5kZWYiu02lpx2Vx5r/kd3x2WIksosrIlhSYKIg6zrigdjAW3nEM6hTbhn+DKSB7b9kwoCp7P/wyffvQ+P2P6LxxrWOZTj3zA3+m5y5NHpulp9uMwx7e+TlV1dm2x6OnYtfqwzCzKFpPWPRQyPlhpmm220N/mDhP4OSm7kM78Jb09bzE314Pf305gronUSgKTKY5HeQ+n4wFtjps4rD6QHwEEelAYxssVRniO3P23/a55Xuy5zpXuf8z11fLb4yspoLc5kicbZU67T3Nj5gaLkUUUWVnfKRSCpSHEvVEbnumTXPzvPlHTIrstSoc7wK51nOTL766l89Jk9vLt0wx7XbQ7grRYw9mkaa19XJucwqccZ2bZtqMupp2Ms93WMsl3ObcRUd6A3Y50tJ2WKT+JcIIPZm1cip3l+SdvbK0jWdNmGPKPcKlzkUCXh5NdZ9drEwKRACYpW+wq7XYtG2X8ET83Zm5wtv1sVm1CztMy2vcsGal4FDO+yuz7E3zj3/6/WA75OJlwIEnz651mc3JYT7uYdRIZT8WJJqMkUgnGFsf4wP8BrdZWVmIrWA1WEqkEZsNWDzGrIb+iNJSRQlsrIrn129dZ8sbpb/eDZi2scxUM6hGRHHVhObMoe0yk6GCRkQIaAjMEeZNJ2nEgrQWMHA4/Dsdb+gHxGNrEPQRJBOPapBKLgmiANXUSCZF2HFxnikF68JAjF+zzobSZeO7XWxmkdBn0agjo5Yrkue1uzraf5db8LbyrXhwmB1ajNa+8czgRJhgPYrMc55Tpp+l3Hyn8oRXGFqXDMrGrHSdpVvjww3peJYc1Qb+i8OLpGa5MneX6VAdDXhdGScVujGMQVZKqSCjeTCIQQpn1M/h3bWV1MZUzzmKx+lKYzpUuD4d177oCIsrZsNuxdpvxToSwCQsE5hNcfrWDF8/eQbHFsnYPiy1WLj9hIODp5nj7RqeGpmmktFTeotVi3K4zYRANxFPxqgl1VRMVk3FZMyoNjS4zZrlHz8Ikx2lGEDVIxtY7zfwNQaQGjaSxAV88wHJsmaSaRBREPWWWjDG9Mo2qqUQNUVbiKzSaG2mxtmCUNmQbBEFAEqUtitKZaLG2MOQd4ubczZxkZMvc1N/P3ae6ME3NIaQWsmw/EEU9EhKP639lGXp783bM5cyiVFMzpwo4WGQE8m6hbzHHElH6yROGNZkRGhv1MJnBqP8gKRXs2QOjBStDeLnJ3FYysqmK0ENpMujVEtDLF8lz2908Y36GEd8IUytTeFe9iKKISTQhCiKqphJX46iqimyU6W3upcH2KDHfNu7EVcAedBffinff1SfRe/fWnaBzWRMolvd5ruNdBs89yc1AZ24b+ubbDDzjxvPcPyz5NEodZ9/+NvzRH22MoXpRmM5Fsu/c0YlWhrflthCMRkTFScB9midckwy/386V+VWeO/79rN3Dt+URJua/z0nXY1kkQRAEJEEiqeYXuyrG7TqNpJrEZrLtOSKSxo6jmBlGpWO4SLRP09PwMMKWqgONQGKJZCjEg/gyEbMBk9mKzbhx7cySGV/YhyiI2Iw2EmqCxcgi4UQYt92dpUZtlIxZitKbsTmFVkxU8Z7Xhv1UNzS6NldR6wd7PFlCeIWQM4uyh0LGB4+M5NlC38WPCUkvVs2H1hYIr+qsXJZBU0G2ZB0iIGBEYoJNg7aIKsLtiEg1BPS2i+TJRpkznjP0KD3MhebwR/wEogFSWgqTYMIje3BanOtdAbOzuyM3nql06HRqGAylf/iudpwMDcEf/7FOdltb86+WGa28Hp8Pz6lT0ONef2r9JZOTsLhQ1mmUMs7SaeypKWhshPPn9Xkz12nXWmF6M8kOBvXLUoZ7OyYTLEUsSCd6aG+G67FuBn/z5/G06xd8JjjDm6/+aU63a4AmuYnJ5fxiV7C923UaoUSIAc/e7c/eURQzI8e20trEgk/lpOJbj2ZnQgOCRpVFUggpFVsEBAMgZRNFBJ3gJdUUJsmEUTQSSUaYCc7Q7mhfJySZitL5iKDdaOf9B3O89O72UcWmJn2MPvQQW2w/yrk4ObMoeyhkfPDISJ4t9D0C2NnGwMhg1Gfa6RkIBfV0TY6Qgh1jNhnZoWNkNQX0io3kOcyOrMkx3w25G3Lj6VY+37EpHog9DL/hoPnoIk65+PbJXe04STOAlRV9bNoKtFQXaOXNuuZl5HdLHWeZtRednfrEe/u2Tko2R5JrrTCdi2TvwL0dUdRvY03LyM/fEvC0688XcrsGUCwK95fub5taKeR2rX8vjUQqQZdz7yrXFYpiFhyuaX+wtRzbWDgBcoDetgc5D4+QxE+EJBoNkgUhkYTVEEiNIEkkl1uJTz1Gcq6FlL8Dv2bHaFIxKJMYmh8Qa/sh88I85kYzRsmIqqmYxNwmommsPDjG+KsfZ0bTOHJE2DaqODmpNyrI8qYykDIm0Jxz7x4KGR88MpJtFgCShIZGnBRSoahIGja7/h737umlIunWi4zXGhCJk0LTVATf4o4dI6stoFdOJC/fDVnL4s9c0s4PfWKaOy//KN4HTlbck9wP3MdisNDR2EFfS1/OXPyuurVnMoDmZn0FLQbpVt7FRZ0BnD+fzQDKYIWljLNctRfF+EDWSmE6F8negXs7qpqd8tmcny/kdg3QZm/DYrAQToaxGfOTzXxu12n4wj4UWWGgbe9GRjKnYKNRX4xzlEdtdTq4c0dnvC4XKU3kQdBGa+/3aXDkvlZ38JFCxYCIgIBmMCAkE6R8JsL3fpbY/TOo4QZUVtGMQVQDqFEbsXtniX5wDlH+FLGONzF/5E2OthlJpBJ47PlDpvMTLoauPooWaaD/GaGo6HV3t36/5JEHKgk5594c613JqFHI+OCREdhkFqDLMpuQiLK9gRFoeqXeI92gNOuz77wXpI3Co6QQxBYVEKaHi3KMLIRaCOjtoUjeOvJKO7eA2/4et79zGv/MoziaV9CMPsYWx1gIL3DafXq9W2GX3cV1ZDKA5WV9q1QsCjGAEllhqeMsV+1FsT6QtVKY3kyyy3RvB3SOmHnfbM7PF3K7Bj2y2NHYwdjiGLJBLtidttntOo2Uquv3DPbuXcGzNJ59Vq8z+s//Wf9NDIac5VEbTgdHg8hrOTZNEBlfVDAqQ5zoez3n+weJMRE0I839BCH/EWKBLrSUCTVqJ7XSjqbZMbgmMHpG0VIxEmoCBAnD2mZF00BddZIY/RSzCyew/sj3SbXO47Q4c35eeFnm9ndOEw5qPNaXLHqubmnR9wyRiB70eeaZgo4OeVFw7t203pU0ydcwZHwwyUiWWcAo9PTQKTVxjW0WAk2FRb9+hzzxEZ3GbpVvJGQUGHA9Dn/ncztuIaiFgN4eiuQBa2ZjBaSd3V1ezv/9Nxh54wRT73cQmepENCSZF3389cIoxxUjppRSrLt49bCZASiKPgOXwgpzMYAyWGEp46xQ7UWxPpC1UJjOJNlQtnu7vjCp+j2SRrYwXrbbdT70tfThC/vwR/w0y80Fu2s21yZomsa4f7ym+j3VQrpAOpnUF940p948lrKcDsaSnI6ZaTlqYXyxmSZLlN5Tf4FVDsKmRoFIxMH3R55harIXMaqQksJophBEm0h4+9DiMpiiaLOPokacCC13QFxGQ1u/5oIAkn0JQQ4Q83bw4XcHaf9bCdp6chREAXe+fwL/jBOrexhFPl30tWhr05cTSdqQB8oXVSyEgnNvjvWuKLZU45DxwSQjkGEWcBmGh+l+WOK1hhSaoOUoYt3U533q9EY8bVPhkaaqJBaG6TrzOej59I5PsxYCensokpffbGwT5IYIZwZv0vP0OHPjHvwzTgKzTfiCQR7E3uXnPnaW/hO2mrebZmEzA0jPTOFw4bqRzdjMAMpghaWMs0K1F4JQvA9ktRWmN5PsIt3btyAc1hfNzMLc7CyY7nYdTRYuvJKNMqfcp7bV71E1FZOwkfJJqSnG/eM0WZq4eOrinjbJyyyQ/tjH9N/m9m19+Doc+lBOj8HM8qjFMZXXI4/SRpLTnjkunrrFv3PfZyVTFhuYn+/k9u1Pcd/vRHRM4nCNIQgxwgkj6kIfiCmkxvsgiWiqnaS3EyHkRHO9A3bfVsEzSUNs/YCYr4f427+A4SNjYM4WtQz6HEy+14Gh0YvJbKbNnpuw5ILDoUd+xsb077pdVDEXipp7N613tLfrN2ChgpYah4wPLhmBNbOAF+HKFQZ+8CrOVBifME2r5Mju806t9Xn35O/zTsO3NslUKqdbKwG9PRLJK9lszNEcwtE8vv7vZCrFewvDNPcO8ul8ZmO1agXazAAyZyZZLr7lQxA2tlZlssJSxtl2tRfF+kBWW2F6M8luaiotCwbrNiD09mYvEJuzYJ1NnVybLFx4pWkb+j2352/r+j1mB1ZDtn5PXI3jkT3rZmwzwRm6lK5tzdjqHbkKpN1uvdxpZERfiL1efWwZjRtTcCIBajxBTLUgiSv86kdu0K0s0Ul2NHt+vpMbNz5DNGrH4BpCFJMIGLBiZNV3nGSkEcnm0zebmoZgiqIZY6irTWjTH0E98jaaM5T1W2iahoaK1HIPMfDjjLwhcmYwW4p/7oM2IkEzmmuMrobeor2G0ujr09f+lRWd5G4XVcxESXNvxnrH9evlK25WCQebjMCaWcBzeAYHOfdX/ytXp19DCZqQUpreLdNWfJ93pXO6tRTQ2wuRvJngDG9Ovpm3fbIYGKQcSomVlLMtBbkYQF/fRkVfUapcazAadQZQBissdZxtV3uR2Xmy3elX25Qwk2Q7naVlwTbZgGQ9vjkL1q1089r919bD/JqqElpqyIrKpZIGJEOSJk+AdvdZ7M6/xqcO4V31IokSRsmIiMhqbJVQPMSQdwhFVhjsHdzWpn4vIF+BtCzrqYmenjxSG20azvgkraYAHyaP8tr9h+lWluhG4TXuo6ERCTdy+/aniEbtKM0PWBJSpJsKtJgDcfkYojmEJqj6758mJAKINj9qqAnmT5GwvoXRnNR/Q01bF0izmSw02VaZer+DnqfHcTSH1s/fP91EWF3miNVJX0sfpUKW4dQpvYjV69VJW0/P9q8ra+5dW+8YHCxdcbPKOCQjaXg8XPi5f8rIGwbGV6Y5rvQilCBGUI2cbq0F9Oo9krdd+2SxWFdKHH8dzzvBysrZFot8DECWdbnnGzf0WSlXMj0XBEH/QR5/vGRWWMo407Ttay82d54UQpUVprNI9uwsmM3FZcFUVV8UN9mAALmzYO1RI6GZe7w6fptowIRv5JOsTp9ASLRgMRtwKCnMsolk3MLk8DFSNx/G4jhNa+84DadfYdU4SSASIBQPYTfb+WT3JxnwDDDQNrDni1WhuALp/FIbAgT8EIuRkINcn+pgsGecAUcbTiz4CDN5ZxC/34PLdR9RENZS7brRZyLUCkkLZnOQBAIqKoL+rgiAhoZoCyCuulEXekm030YSJFJaCoNowCSZMEkmrE0RvBMO5sY969HWlJpi4r6G1aZy2n26oHJuIbjdejfNG2/ABx/oe6Cqzr0eT2mKmzXAIRnJ+BEUWeHiqYtcunGJUf8YPUpPUTvwauZ0ay2gV8+RvO3aJ4uFIAgYg2Em/uj/htHGysrZFn8S+RlAema6dSt3Mn3z+YXDOnFpaYHPf76s8yt2nKUzQoVqLzZ3nhRCLXRpMkn2gwcbXmO5FsXtbEA2Z8H8M3e58sf/nDen3sQnzjO11IN26yKJ5U6M9lk029usChqxmEQjDbS0PkxDq6x/zrKVBz98HGWmg1OfukVz5wzD3mF+4vhP8Fy+FOIeRTmF+FljYi3H1tIcZsjr4uach087Qpyjgz8JBpibfBSHYxFR1AmIBQMrxABIRBsRRBWDICIikNCSpES9NgdN/2sQDUiWMMnlI6CMkzIFkY0yDpODWCqGbJD1sW9QWZpxrqfQpldmkIVP0uPuw21v3tE1crvhiSf0VGI0WuO5tw7UfA8eGdkmJN8/MMDzZ5/n8u3LDHuHaXe002JtybkA1iKnuxttt/UayduufbJozM9jH7vPRFSDkx+rnJxtqSjEANxuvc8vM5leyLfC5YKf/dmyz6uUcVao9iJX50kh1EqXJk2yjx2Dl17Sx3NDgx4pKdYGZHN+fuj7f8rll7/CRGSGdlMzp1Z+kul3PkksaqfR/QGiqAEyGrpQ2WJ0ifD0Km7lIexNrRjsS0iGKe49ULj77z2Yz12ltWsOX9jHy+Mv75uoCFSgEH+t00xAwyipTCzpA+wCfVydS+KLmulyLZBOzcgYCBBFQyMZaUCQEoBuU2/WRFTRSEoSSKgJJEFPkQlSHDHUglN7HFPDh4QTYSKJCHE1jsPkIBgLEpdE7t5Tsayl0H7i+CDvPPwE8XB5EZHNMBh0Avy//C/1NffWAgeHjJTg/NV/7hwvfvpXuTL3GtenrjPkHcIoGbEb7RhEA0k1SSgRIpFKVD2nu5ttt/UUydO04tont0U4DLdvYYgniCsKGmIxUnfVUevajgFsm0xfq2dyu/ViiB0QpFLGWaEO5FydJ/lQa1NCRYFf+zX9Mv3v/7t+SY1G/Ty2swHZnJ+ffv9PufSff4tAMsTJhm5iEYWbt38SR7QJsXmYqKAiY0BY+59JMmHESCQZZWpxAktsiaik6n41zlki88dI3vhZHn/kNW7N3eIH0z/AaXFyruPcvqgX2XEhfkanmd0YZ2KpCQAFmRP+EwxJKn4hgoKMiIAdky4+qalomoQg6BETVH3QCgYDaCnMkhmH2YFRNCIIAuG4BUvCw5FGlVgyxmJ4kXAyTJOlCUmUsJgMNFmO8csDz3HGo5PFr1+rfPS6nubeWuFgkJEyHOaUkRGeu3iRwWcHuTl3k7v+u9wL3COeimMz2RjwDNDl7Kr67qWe2m5382YQhOLaJ7fFmopj0uXAtrZYlHASlVXrKpYBbOdbsbCwY4GXUsZZvg7kfJ0n+bBbpoQ/+qP65U5PCR6P/u9i8/PtznG+8v98hUAyxPE1g7Y7dz6O3++h3XWfsOBgjhCrJDAhYVxTABUQkAxGltUIy2EvjTYFk2girsZpal/A5BtAHFU4MXhzPep6dewqI76RykRdd2lFq0ghfkanmcHaSjxlWP86scAxHjepzGLGyyoOTFgx0oiZRSGCIKRQVQOgoWkqqsFASktiEA3YTXZM0kY1tmhMEQnqfmNGyYgoipzxnOGM5wyapjE1JdDYCIO9j6+/phbR6/1OROAgkJEdOsx5nn8eT/+GXshu2HbvlbbbaqOY9smCCAZhSlfrCgkRBigyl5CJSqp1lcs0MwdABQVeih1nuTqQ83We5MOumhKys9qol/7lv2AiMsvJhi4ERILBZiYnH1uvWbBj4iEa8RFmhRirJHQ5cjTCJFBFUFWVUGQZh02hWW6mxdpC3JDI6tZotbWiyArj/nEu3bjE82efL42Q7FaX2CZUrBB/rdMsOR/C5rYgCGtEJ2WgVRDp4Rgj+JhiBS+rCAiICCRlP+ryUVQ1CaKAaJCQDRasRuuWmkBB0NBUEU3T8Ef8OOWNDhlBEHKmFWsdvd6NNagW2N9kpAoOc7sxCPZC2+12qMQNtLl9smTMzUEkiuZuJUGIrnLICFRWrauOmGYp4yytjZAmIEtLuTtPanDaZaOc2qiZ8Xd4c+pN2k0KkqBPn3NzjxCN2nG57q2/txEJDw4UZELEWSWOlzAa2po7OIgpjXZLKw67fmMaGsN4J1xZ3RqSKHG8+Tiji6Ncvn2ZF8+/uH3KpoSUdMW7xPKgIoX4a51mob+aZCD2LqRSCJKESUoSTVqQMXIGDz0ozBHCTwQzEvcty0T8HciaAaNsw2S2YhBzL32aJiCISRYji1gMlqwOmXyRi2pHr9NGoJnReZNkorOpk26le9/UFu1vMlJth7kaot7bbjejGjfQQNsATosTX9hHq62MLciaWpcPPbc8QPFKiVmopFpXAQagkUsNeA1VYprFjjNZ1ruI33hDX8CPHNHLW7Yz+qongpxGKfn5Wzf+gqXkKv2NG2PH729HklI5X2PGgBkDcVJYMGDDqEdJRI3VZIT46grY0xudjW6NTAiCQI/Sw7B3mCsjVwp32pSRkq5ol1geVCyV4XKT6LTQ5bi5PkA7m5a4NvnQ+jEOzDgwr7dGTcRX+Y4B4lITBpOUt+5M0zTiMQ3NtoDD7MjysYLCkYtq7ClyGYHaTXYkQSKajHJt8hqv3X9t39QW7V8yUguHuRqjnttu06jmDeRxeDjXcY6rY1dxWpwYpBKHbyBAymRghiCD9OKhiMKGfKikWtcaA5j999/g5off5W6rgXv2JHEhhQmJTproRmGANjyavepMs5Rxdvy4/v/Tipn5Fpt6IMjFotBCcnd6CJMgIbCh/RIIeDCZInlfEyPJMrG1iIj+5ukUQjS2mnWsUY6zNNu05T0kQdwq1rcZO0xJV6xLLAcqmsp4uJGBF34W/kaA69fpXr7Ja4EWNMMygrS1Narr+COciR7l1lgSNTXPamoVQRCQBGk9fZbSUmiqhqqaedjTyDPHHs3SDNkurVjp6HVeI9BNqEpt0S5h/5KRWjjM7QLqte0WqnsDpSMtvlUfD5YfMOwdplluxik7UWSFNntbYRlmTUNLJRk3BunCzQVKV0rMQgXVuvwRP1cSb/Hmk6ss3YthWpzHvqQiiSJRo4FrkpfXtBTOmMC5UBMXxJMoVWaapYwzs7m+CfJm7CRleM8/gV3aWKR0ETgjgpDK+5oQcZKo2DBmPS4KIpFkNokRJZVU0oC2EkSYz+6gapFEhhwRbob+DZ5nfyX7Bq9CSrqSqHgq41EnPKoP0IFX3sd5yY4v0kyrtJKzNepUBFZCsLhkw2hfIZqKEE1G18eCw+BASNgwN9v4+KNG5Iyfqti0YqWi19sZgWZCEISd1xbVCfYvGamFw9wuot5av6p1A+WKtDzU9BB3fHfwhr2sxFe4H7iPxWCho7GDvpa+nCqIKU1l3LhCU8zIRU6hsENdgAqpdW0hcE/+JEIotKWVV5NEfG0mrsoJRjpsXPzYU/TXYEUvdpzVK0GGyqUMNVUlriWQMsztdBG4BMlkfn38CMn1fppMpHflmeRIjamYVmYQvvcqRKL6qm0ygSggJJMYY0tM3LsCrzzIrvfYAynpqpRHeTx4/r6Hc9E1ovOYhmTY+sYbkutGopFm2pV0JE+/9qqqS/l0buoEKzWtuNPodbFGoJtRVm1RnWH/kpFaOczVCXaTiFTrBioUaXHb3Nyev40/4sdhcqBpGmOLYyyEF7JyvVnCdI4jXJwy0W/fprChGFRArSsvgcvRyisIAq2Asqb2u1s7oEI/bb0R5EqnDAVRxCQYiWrxrMebmmaZnMz/O0RJrpWsZkOvCRI37pdQiMRkAk/zkL5yuV2w6XV2NCYcFvBZNuo9Pv3pPZGSrmYh/jrR+UDIS3TSwsbZLsFCzk6wnaQVdxK9LtUINBMl1RbVIfYnGamlw9whqnIDbRdpcdvdnDefZ8Q3wtTKFJFEBFEQmQ/N89fRv+Z483FMBlO2MJ3VgfKDb9VWzjYPSiJwGc/lI3D1ODR3O1JXjZRhp9LFtdkfZD2mKDPcv38652+grf0vF1RNRTaubZhCIbTpGVLxTpzHgmDNbZ5jQCQupNBaWxDS9R7/x/8BsRh8/OMFrkgRqEFKulqF+MUSnc0uwfPzul6O1QpHj+qfV6m0YqnkvBJGoJKYwwh0j2B/kpFaO8wdYFTjBjJJpqIWatkoc8Zzhh6lh7nQHP6on0AkgC/s48HKA37u0Z+j392/EYb3zMKf/9XuyNluwk4JXJs2wN+8Euf5797Bk/zobklI1CWqmXPvPtLPazNvoqGuF7G2tY1jsYQIhxux2Zaz3389PZNNSHRjeg2L2aavfPNzhEMO5MYYbZ4P8p6vXnti0t8zXe/xF38Bq6v6fLddX3Uh1CglXa1C/FI6wQYG9PcbHdWPO3pUtwcwmaqXVix4m2ta5Y1A527ufzJy6dIlvvrVrzI3N8epU6f4+te/zpNPPpnz2N/7vd/jP/yH/8Dw8DAATzzxBF/5ylfyHl8xVNph7vTpyrzXPkM1bqCZ4ExJC7XD7MgqXk2mkry38B7N1mY+3bMhWFcvcrY7IXCRFZmRN04w+V4HywGBeSnBU52rNMi23ZKQqCtUO+c+8NRP4bz5B/giflrlFgAcDj8dHe8xNvY0shxcN2tLI9O0LY1EKoFRkLA3NIPPh7oaJ5jopbfzOg6HP+95hkgwQMa4SxOIWEzf7p85U9T3zYsapaSrVYhfKtH55V/euEdqGl3MIUh31/YepsZlhBU5tydBkRAEAaNkZGKpvksLNqNkMvKtb32LF154gW9+85s89dRTfO1rX+OTn/wko6OjuFyuLcd/73vf4xd+4Rf46Ec/isVi4X/73/43fvzHf5z33nuPI0eOVORL5MROG9uDQb2IcHFR93ReXdUHzeHWMwsVddKVjNycvcnE0sSOIi0GyZA/VFkHImPlErj5CRe3v3Ma/4wTR0uQo4+sshD2IjY68TT3ZJ1mDSUk6grVzrl7uk9z7ug5rt7/KxRL07rwWV/fG/h8D+H3H6G5eTJrWGWatqWLVuNakmaLE7NoQltexh/uRlFm6et7I+/5aWgkSGWL9Wma/p/VqucdenrKXsSAmqekq1FnVC7RqQkRKSBIdy+5gN0bhsl3QLbA0Y6tbo1Fwm60738y8ru/+7v8D//D/8DnPvc5AL75zW9y9epV/u2//bf8+q//+pbj/+AP/iDr3y+99BJ/+qd/yiuvvMIv/dIvlXnaRaDcxvZIRJ/B0z7OyaS+g3Y6YWXlcOu5CRVz0kW/gX44+0MEhOqFKutAzrYcAjc/4eLGn50lGrLg6vQiShogIIoiS9GlrGNrLCFRN6hVzv3C3/1tRv7/7b19VFvnne/72XoXIEACI4SNY+OA7cQE7NhxnMbJpM1tOvG0k+VOmzvtSuOucTtz6sy9q1mn03acNj2TyUszXTmZSd1mpp3Wc6btpO2Mkzsd57ht3k4ax27dxHZwjDExdowNAoR4EUhCb8/940ECgSQkIYEE+5PFckB7S1tbW8/+Pr/n9/v+vn2GTs/lWG8as9lDS8sRTpy4h8HBemy2q7EISbRpW5AIejT4Qn7MGgPVK9YQGR3H7arHVOmnpeUIZrMn6bG58M4261Mml2uMRjl2OZ3zEyOLvCSdy5cttITqVIZ0AkGAErQYgTKZyNJ5HlwD0NI6t5vgDHQaHYFwoKis4zVzbzJFIBDgrbfe4s4775x6Ao2GO++8k2PHjqX1HF6vl2AwiC3FYD4xMcHo6GjcT8ZEQ/I9PfJGkg59ffD667Lphk4nFxyj67Lr1smFxQ0b5EVkmsxmf/RReZEtQ3LWSXcSnUbH4PhgrIPmfEgZqowuLq9cKReXBwbkSJUIIeTjZ87I7XNwV89UwHlHzJw+0op/zERV/eCkEJEYNAaGfEMJ94teusPDcgx0J4/+LwmiEafqkup5PU91STVun5uTzpMJH7fVrWPP3X9Npa6MjtFLhEUIALv9Itu2vUB5uYv+/jWMj1cghHRhrcDIBCG8IT86RUuN9RoCvir6L9kpLxtg27YXsNsvJnw9gDARevBwM6tmm/VVVsp1B61WzrZTkew6jzI2ljgxe679ioBFFyIHDsDVq7L8ekZnRgUFA1rCyEkGJaVQUwOjHjhxQt6bMiAUCeUkYr2QZBQZcblchMNh7DNUmt1u59y5c2k9x5e//GXq6uriBM1MHn/8cf7H//gfmRxaYjIJyff1yQ/d75cXgaLIJRqbbXbnr+U69ZxBzjrpThKKhBgLjqU2L8uAlKHKRbKzzUbAnXtjA+5eKzVr+mddwhpFI90jk8yACqyrQV7J9ZJhqjB3860fZx9w8MXHODN6gTpDFdVmG3b7RXbu/BHt7Tu5cuV6+vvXotGGQDNEUDMMGCg3rMPrtmIu99O0+iU2rv0V5tkr3DEEgk7cNGBLbNZns8GlS3KCNFOMRJebp3nWoNVKAWOzxecmTK8SK5Ame0uCNA3p1lLJUbqn/qBooLoKXINw+hTsvC3tJZux4BibHfOzHlhoFrSa5oknnuC5557jtddew2QyJd3uq1/9Kg8++GDs99HRUerr6zN/wXRD8l6vdGz1+6GqSn4pBwfll7ulJfkFsEDuhYXMvDvpTmMsMBbzgcgFc4YqF8HONlMB53FZ6H63HkuVJy4iEiUiIhiU1DfgAutqkDdyvWQ415p7860fZ39DK4d+/jccv3KctpEL6BUNZVozjg3vUbrSxlXnOkaG61E869hgrGW8UsFY28H6a3XUNfZh+d0LEAlDktYEYSJ04qYSU3KzvtpaOVYFAlJQCyHHsunLzVHzNEWRQru7e0rA1E/mJoyNydyTs2fhP/6jYJrsFSXT14TSNKRbh41XuTSjJ5UCVTZpjJJmgrIQgmA4SIM1e+uBxSAjMVJdXY1Wq6VvRsior6+P2trUTce+9a1v8cQTT/DSSy9xww03pNzWaDRiNBozObTkpFPvde6c/OKtWCGFiccjv2AtLXOv1S2nqWcC5t1JdxIhBMFIkCpzFWGR5rLaHIQiIUoNpXMf1wIvLmci4Jzv1eL3mKhp6E/4eCASwGGeW10UWFeDnJOPJcN01txtdevY+//+C7sunOLkb/8/Llxt46K7i4AI4qj08YEGHw0rDWzevoXahlbO9Ldx8PQrdLm78JvrKNNqUEKh2e8HgQsvPXhowMYeWmgmyVhksUhBcfq0/P/+fvn/brf8PRrpnfUispEc58/LfYSAigopOAqoyV4mLFqORLJIks0ml/7TMKTbTC1WTLjwsoJpPjOKRn6OaSYou7wubGYbm2uXcGTEYDBw44038vLLL3PPPfcAEIlEePnll3nggQeS7vfkk0/y6KOP8stf/pKtW7fO64CzIlVIPhCQYiQSkV8wsxmamtLKYo4p2HxMPRc92yo95t1Jd5LoF2hNxRrODJzJybFlHarM83nPRMC5e6xo9ZEk9wRBJBLBarLOfnAGBdrVIGfkY8kwLSE7iWNdK451rbHfRSSCopmdktdsb2b/zv0caj8koykWH/qJIcoQ6NAQIsIYQYKEsWFmF03sZuPc7Qs2bpQR2pER+N3vZKlvTY30PE+GosgIoMkkl5uDQTkBK7Ame6nIR3fwjEhRHYPfD7//vRQo/f1y2xT3FQcWdlDPYc5jw4x2ekpnSQn09c+ZoByOhOnx9LCrqbgMzyCLZZoHH3yQ+++/n61bt3LTTTfx9NNPMz4+Hquu+cxnPsPKlSt5/PHHAfjmN7/J17/+dX7yk5+wZs0anE4nAGVlZZTlyq49HZKF5M+flzf+xsbZa6gz6MXDSZxcwM1FhgkwratqtZXN7cM4sp16Fuka7fROujazLasqhulfoDpLHW87385NpKVAQ5WZCLjh3koM5kDCx7xBL2a9mdqy1FHJKEXQ1WBe5HTJcJ5r7omESBSb2cbeLXvZ1biLk2P/xIWLh7hoMRFQwpRiYDMOGrDKLs3pdpY2meTYdfmytCG45prUQiRKJCITtCMRqVZ9Pjn2pJObkOEydS6jFvnsDp42KapjYly9KvNz9Hp5rxkYkJ5VSSLuu9lIOy46cbOeqvjlGq0mZYKyEIJOdycNtgZ2b8zeemCxyFiM3HvvvQwMDPD1r38dp9NJa2srR44ciSW1Xr58Gc20L8F3v/tdAoEAf/InfxL3PA8//DDf+MY35nf02TAzJP8P/yBH6Q0bku7ixsch2jlGN0P4MaClbLIhuJ8QR+nmVeUS1jo/O87+iN133Jz+hT+Xsi6CNdrdG3fT7mqn092ZkdEUzP4CTYQmchppWdRQZZLoVroCTggIh3QoM0y0QOaKeAIemqqa0k74XepdDXK6ZLgAQtZhccjuuy9fBpdJWrwn6GGTFi6XFBQrV8oIx8BAtPlK6iUaj0duX1oq93W5MjNPS7FMna+oRT67g6d/EJPVMcPDqSNJw8Oy7Lq0VAo8t1sWSmzbllCQ2DCzhxYOcIIOBmnENhUhMRiSipHwZM+qSlMle1r2FF2TPMgygfWBBx5Iuizz2muvxf1+6dKlbF5i4bh0KWVDvTb6OMhpunBTh4VmahIOGAKBS9fP4aHf0f6bR9O78NNR1lDQa7QgZ3p7WvZw4MQBOgY7aLQ1phUhSfYFymWkZUFDlRlEt9IRcIoCWl2IUCA+2VsIgdvnxmq2srE6QXVFEpZ6V4NcLxkuiJCd5gqszMcV+MIFOU60tMjxLNp8pb9fRkgMBvlvJCKvy0hE3hxXr5ahf6NRqtUMchNizFimdlca8xa1yKfVf9qkWR0jZxPhqcc1GlkgMTgoCyZuS1wd04ydfWzjIKc5Qz91WKimREbbwuG42URcI1BbQ24F1wKzNHvTpMscDfXa6OMAJxjGzyZq4tfwZqCgsIISbEGFztErc1/46SprKKg12mQ025vZt20fB08f5Ez/GeosdVSXVKecsST7AuUy0rIgZBHdstnSE3CVjmG6z6yO/R4REdw+NyadiVZ7K2Z9+u6MOWg0XNDkeslwwYRsLlyBzeYpbyRFkZGNxsbZZb0GgxRAVqtc1nE6ZWWNdTLvqKRECphMzdMmM6Tbjj7PwfILeYla5NvqP23SrI6JGdJNT1BWFDmOz1Ed04yd/ezkEO0c5wpt9KPX+CnTlaIbc8ZsEOIageZjKWoBWd5iJEVDvUG8HOQ0w/hnrN2lIBJBqzexvmpD6gs/XWU9kwIvJZ6VnNffhl6rp0xfhk6jS/sLlOtIS16ZR3SruXluAWerG+LSyTVEIgJfyIsn4MFqttJqb8Velr4rYw4aDRcFxSZkhRAyIjJfV2CrVUbjpr9fiyVeUCRanzt7Vr5W9O/RG+hc5mkzURTaysY58N5PGL52VV6iFvm2+k+Lnh456UijOgaQn013d/zfNOlVx9gws5ct7KJR5iqOtnNxbSUBrZ5SQymbHZtpsDbkP0l3gVjeYgSSNtR7nnN04WZTkmWZhAQCUOuY+8JPV1knosBLieOS82asF2fyBcplpCVv5CC61dycWsBF7KP49Q6uOP1UVoVpqmpiY/XGjCIikJNGw0VBoQvZlHkUH7+Bzb88jSNVy1mYErY9PVJd7tkDP/xhyuVmIPFzDQ/LCdl09PqMxcggXg5WX2XYE2R91YdyHrVYKKv/OTl1Sp6bdKPSUUO6mUIwgwiUAwsOUQb9PvjYXsQf/mFROaumiypGEjTU68HDMbqpw5JyaSYeAeFILNyZ9MLPVFknoghcrBwWR9yXPZukwlxFWvJCDqNbNltyAeeogx07BBd/t4Xt9aVUlmTuTjuz0XA+ElgLqQdGIQrZtKo/wgGsN5Wwo76c3e+OYmvrTc8V2GpNudyclJk5DVES5CbMxfOco8swxqZgdcYpuOlELfLRHTwrMXLhwpR5XDpEDem8XpmwFUVR5HlOV/RNm00Uyvcs16hiJEFDvVM4GcJPMyk8mmfi9cp122nmbwkv/EyVdTKKzMUq2y9QriItOScP0a1kAs69TbZAunoZKrJIKXjnHTnuuVzw4IO5qRpfdH+HOSgkIZtx9Ye9h/Z6O3siO2juDafnCpxkuTkliXIaQCa3ZnDDjU3eQma0en1WSneuqMVCWv2n5OLFuSNQ04ka0p0/L+8P08utU1THxDFzNrFEUcXItGx2JrPZL+CeLNxN88IXEVki19gUF3JLeOFnqqyTsdRdrGaQi0hLUjINFSxQdCv6/rJNKRgbg//zf+SluXKl1MHzrRovCH+HNMmlkM32eptX9YfpHfZ9ch/N9r+c+xpNstw8J4lyGoLBjG56scmbX4GauQ34kpEqarHQVv8JmaPgISkbN8qZgNstq2mmV9fMFYGKJig3NMgv6BJGFSMwK5v9ojJMGYa59wNAwKBbjugzG+qR4MLPVFmnYqm7WKVgXkJkvgZzixDdSqerQRQhpGj5/e/l71u3Jl9JyqRqvCD8HbIgGyGbi8jPglZ/JFhuTouZOQ3RpRtr+qJCTt40KNOWqbMhWdRisaz+ExxgdhEos1mWXJ84MdV8NVpmnWpiOj1Bec+egipWyAeqGIG4qafoOEdgfRBtOhepiEghYjJBS2vCmvG4Cx+yU9bJWOouVrkmVwZzixTdSrfR8OCgTNS3WuH221Nr33SrxgvC3yFHpLoB5TLy83z7AlZ/JFhuTouZOQ0Jlpvn4iLDlPkjGe+XiERRi8W2+o8j2wiU3S6Nzk6flomrFou07E80CUmUoFxANg75QhUjUSannsrBgxhcb+G36MFUBgmXaqa5F1qtUogksfeddeFno6yTsdRdrHJJLg3mFjG6NVej4cZG+O1vZSSktTU3VeMF4++QZ+Yb+ZkeTWnrb+ONy29g0MibqM1so7asNm23XMiw+iPBcnNaTM9pMBrlmNbUlLbHiEAQEEG04z5Ym4FRWhKSRS0Kxuo/2wgUyHvEzp1T3ZRHRuTsobs7dYLyEo+IRFHFyHQmp55r/1cPR3t+KxsTaRO4F4YnZwGNczfUm3XhZ6usEz75EnexypJZ40QuDeayXTdORpbRrWSNhr//ffn7DTfkrmq8IPwd8sx8Ij9PHXuKayqvoXukOxZNGfIN4Qv5MBqNdI92c2n4EiadifqK+oxKszOq/sjWPG3jRjlbv3xZJhclWG5OhiLAMOTBX16W0X7JSBa1KBir/2wjUFHMZml0ZrPJ5eLbbpOhzLkSlJcBqhiZic3Gul338eqbI4iJSpShoSn3Qr0Baqe5F84xC0h44c9HWcc/+fJwsUqDlCkgK0bZ/Op/4BgZzo3BXLbrxsnIUXRLUfKTVyvKCsTfIY/MJ/JTaazk1fdf5TeXf8Pt19wei6b89upvKdWXUmGqAORY4A16OT94ngHvQNqmdRlVf2Sb6WwwyLyE0VGoqJjtO5KMyZyGtXXVHF1rSa+53hwki1oUjNV/thGo6YTDMiryiU9MKX51qT1tE41lxebazVgrHbhWWmH7drjrLvjDP5T/3nRT2n0bEl7405X1fFguLlYpcLtlJOChh+S/R4/K8TQYlP8ePQrff3KQh47cyvfH7sXtL8nsBaKhgq4uGSqIsnatjErlgrGxnAnKaF5tdfX8nqe6Wp7bkyen/B2qS+b3pNUl1bh9bk46T87v4PJANPLTaGvMaNbdN9bH73t/j1bRotPoGPAOxPYf9g1j0E7d1BVFodRQSk1pDZ4JDyd6TtA31pfW62RU/RHNdF65Uoa4BgbkjS4RQsjHz5yB66+HRx6R/2ay38qVrPvDTxOwlCCSbZ+C6bukilpErf57PD2EI+GMXwemrP5vXnXz/ATx7t3yO9vZmfwcJSNZdcwyFyKgRkYSkrDHRYYXS9IeF7lS1sug7jwVaaWAeDyIc+/gslRy+L0NtLvt7Gk5RbO9P/0XSlSCW6DRrXzk1YqqAvF3yBPZOnt6g15O9Z3CH/KzomQF3pCXK6NXaLQ1UmYoIyzCCc+ZRtFQZa5i0DfIqb5T3Ga8bc4lm4yrP9LNdE6Um3DHHRnvt1k/gfWVt9KKWngGy3B2OnD3WBnurSQc0qHVhah0DKO1XaJ8zVjSqEXBWP3nwr5/GVTHZIoqRpKQ1ws/F42xlkHdeTLSTgFxOlEm/KyoiWAT/XS6bRw4sY19205kJkhmluDOd904So6jW3nJq20sAH+HPJKts+c51zmGfEPUlNagKAoluhL6x/txjjlprGpEq2gJRUIJ91UUBZvZRv94P+2udrY4EjdLi5JV9cdcmc7JchOy2M/B3J22faNm2n+zge536/F7TGj1EQzmAIomQihg4v22VQyPW2mo+xCHQ46EeZsFZfWfaa39MqyOyRRVjCQhrxe+qqyzJiMXdrc71gRMqwjWVw3SMVjFwdOt7N/5G2xmX3ovOrMEtwCjW/nIq52YEBAqAH+HPJKNs6dnwkP3SDcWgwWNIle6FUVBq9Ey5JeOmpXmSrpHupM+h0bRYDFYYtGUVFU286r+SJbpnOP9Ek3eop9zX1cNp4+04u6xYqn2UNPQH/dUQggCvkFWr7SwoXRzykK2grL6n08ESmUWqhhJQV4v/GJT1gWSYJWRC/uMJmCKAo02N2f6azjUvoG9WzLIX5hZgltg0a385NUqoDMwMVEA/g55IhtnT+eYE3/IT01pfLsIvVbPkE+KEZvJxqWhSymFV4l+KpqSTIzMu/pjJtme+zn2s5lt7Lp2F9869i1+cf4X6DV6BIKJq00Mvb4NZUKhdnU3ZmN8cmxERHD73Jh0JjbXtmIvM+GoiS9k27Qp/hwWktV/1hEolVmoYmQO8nrhF7Kynq9LaR7IqFokSRMwrUZQZ/Fw/Eo9uxo7cVjSTESdWYJbgNGtfFSNi3z7OyyiyM3W2dPtc6PVaGeJDI2iISzCCCGoLavFpDPhDXkp1ZcmfB5FUdBoNLFoSiLmXf2xAEw3ipsITTAeHGciNIFhwsHwGx9mYkRBV/MW73t0VAQqqC6pRqfR4Q168QQ8WM3WuOoib8iDptrJ7zoEJ75xlc2f/N+UV4Zmud8WVM+qbCNQKjFUMZKMaRdTXpu1FZqyzpVLaR7IyIU9UROwyc+0usRLW38NJ50OHJbO9F48UQlugUW38pJXm2t/B1EJL75YECI3W2fPYX98pUyUiIhg0MglH4vRQn1FPecHz2PWmWPLOTMxaAyxaMpMkibBFxAzjeJuXX0r/pCfdlc7p168Ed+AA1PdBbRaHeFIGOeYE5fPRYWxgkpTJU1VTTHfFV/QR7urne6RbvwhP0qFDu+VtXS+sYnG/+v1hO63ee1ZNR8K4RiKDFWMREkjEuBw5PHCLwRlnUuX0jyQcbWI2Sxv/qOjUkhNnlPFZEIfNNLVa4bGNJ8rmcFcAUW38pJXW5Yjf4ehq9gu97P5pcMwOFEwIjdTZ08hhKyUSeDMHAwHcZRNfYc3Vm/E5XXh9rmpMlclra6JRlOmP57T6o88kcwozqw306i/na7+WzE6RhDmMvwhP1pFi1FrJCzCaBUtzTXNrLWuBWSZ9Km+Uwz5hrAYLLHE4PHaEJ6uTVQE+1lVPTZn36OCECIqWaGKkXlEAvJ64S+GEMmVS2meSLtaxOeTIun99+XnazJJYRBldJSyiat0nfFB2dtzuujOWYJbINGt/OTVJihzz/Q5nT30nHmNXb0WHCYbNM8RPVpAkZups6eiKLJShvhKGSEE4UgYq8ka+5tZb6bF3sKJnhMM+gaxmW2zIiQREcGgxCfQ5qX6I8fMZRTnfK+WsNdCXYMPRVkFTE3ehBAM+gY57z5PbVktoxOjnOg5EcvDmX6OSiq89HfV4Ox0YKnqLPi+RyrZs7zFSIFHAhaMjEpUppGqoUmOSbtapK9vaj3HYoHxcWnlP8NVUqfVEwhHEB3nUQYGZCOXJP2F0i7BLYDoVj7yaudV5u500nnqZRq8OnbXfQi0Oejal0OycfasNFXSPRpfKeMNeTHrzdSWxTeKs5fZ2Va3jdN9p+kf78ditFCiK4mdw0AkgMMsr5m8V3/kkLlaBLh7rGj1kbjrL7rd9NLm087TjARG8If8U9Gjad8bRQGtLsJQjzXu+Yut75HK3CxfB9ZoJODqVRkJWLEi+cgdHSQ3bZLbHzgg918qREtUGhuzb2gy06U0x0SrRcKpzBf7+mSbbo8HampkkmhFxVTi6TRC6OSSj71Gbn/ihNx/JtFQwc03Zx7VWISQcTSvtrJSasSU52sa4bDcPlFebbTMvdJUScdgR9oOmOExDx1tr1LpU9hjvQNbKiEynajIHR6WItftTm+/LMjG2dNmthGOhGOOoxERwTPhYVX5qoRVMfYyOztX76SpqolwJEz/eD8ur4sR/wjegJdQJES7q513+tqYCE+wq2kX+3fuL1ghko5R3HBvJQZzIOlzREubz7rOMjDSi80HytWr8N57Uz9XrsDgIHrdGEO9lbOeI9r3qMvdxaH2/I09KgvD8hQjMyMB6cazF3CQXDBy3dCktze3xzeNlC7sXq+MiPj9UFUloyEgE0rNZrl0M02QjIXNNJh75HZVVXK/U6fkdlGK1GAuW0fwlSuTByKiZe4ry1dypv8MA+MDSe2/hRAMjA9w5t1XWDkcZl/5h2hWMmwtv0AiF2Tkp8HWQKe7My1L81ilTNCLEAK3z43NbGNjdfJGcWa9mS2OLdyx5g62OLZQX1HPxIiN8Pm7GH/jswwc+grB/3oK7a+exnd0L8dfteXzqzQv5moRIASEQzoUTSTl8+gigtHRATSDbjS9TpnbFQ6DiMh/R0ehtxdNXzfhHjfCO9sXaHrfo15PgZ4wlbRYnss0GZlVzCBZa9NiJaMSlRTMdCnNAymrRc6dk++jpib+Qb1eLr/09EihYTYjUAhGtDSYJgevaKluf79c49iypegN5vKRV5tRmXvEyK6rpexWtmDTZnk9JLLizwOZGhxGK2U6XB14g95Ybkg6nXgtRgu6iRpG3mxi/G0L1co66mvWxtLUwrE0NYHVqix0wVpazGUUJ5dWQoQCpuRPMjbGWP8lIiJIRGOAslJIkBQMgohbj2FsAOWN16GlddZyakadjQus5LbADmdRWX5iJB+tTYvZzCYfDU3yRNJqEY8HurtljogmQbCvrEx+Xn19MD6OS6nBpvOwuWxaWa9GI/fv7pYj/8hI0Vs35yOvNu0y93fdOK4cguZV83sTCyByIXODw5qSGs6KsyBga93WtDrwAvR11XDqSAvdl/RU1wa4c1MtJQbkNex0ymjr8DAiFMbVVc7hEw7aDyvs+UsLzR+cR4lUDknHKK7SMUz3mdWJHxwbg54efPjRGnT4ESQWIgAKwUg5jvqLMDq5nLptW5wgSdn3qMD8kgrscAqK5SdGiigSsCDkpaFJfkhaLeJ0ymWWmprkO5eVgdFIeMBNT381u7Sv4PCcB79eCpFIRI4Mw8NyxPjEJwpvSpol+cirndPf4cgzRSNyo2RqcHjfDfdxcfgiw/5hVpSsmLPSqK+rht89v5UBd5CatQNsr99KSRh4+20pgv1+eVEbZNRhhcaNLdBH54kaDnwhzL7/e5Dm/+eORb0m0zWKs9UNcenkmtnXWjAIfU4IhfCXaNCiQUz+l6hcWnoXarHanFBdBa5BOH0Kdt4WVwE3q+9RgfklFdjhFCTLT4wUUSQg7+Sjocl0l9I8kLBaZFoPmlQInZ5Ow3U0rBtk99p+GK+X4iMclteEwyHzR267rfiX31KQj49mVgShiETudDI1OIyafs0VTRkfNnHsF024XBOsWudlc+1W7OPAqdenKr9mLjEC2nJYXx2io9fCwR+NsL//KWz/7d7cR+vS/M6maxRX29iLybIR70gJpZXeqQdcLvD5EaWlCHwxEZJIiAB4vRWYzWPU1nYCClTNWE6dJK7v0ZkzBVUlqRZtpsfyEyNFOkjmhfw0NMnrImhCF/YZPWgSEY4odLptVJr87Nl2Fpu9DqiTD04fiLu7ZYKzSvYUocidSbrOnulGU87/+jaGe220blK43r4Vs3tULjlEI3qJlhcnUTQKjY5xzvQ3cuiEk72RHJQ8z2O9IB2jOEvVGPXXd3P+WBNmiw+NVsDEBIyOgFFGfhQUIgjMSW5DkYgGj6eKpqbjWCzu6MmQwu3KFfnlt8jqpVjfozNnCsovqQjsmwqG5VVNk89BslhJWaKSIWNjyY3BckhctUibYGDMhEgysxICBsZLONNfw8pyD/u2naDZ3h+/0fSbzFL4TBebtOqwMyAUyk00cx6k8laJRlMeueMR9m7Zy631t1JhqkCv1VNhquAG80dY4f4Yf9C8nq2rNmMOisSVXymQPZXGOB7aKqtssq3mc7vh+9+Hhx6S/x49KqtWgkH579Gj8Y8neI11tnWxKEQqNu48h61uCPdVm/w6jY1BMCQjyoAJLWEEpgRiRAhwu1dis/WyceNv4h8sKZHJ6E5n7E9jwTEa9DUFVSWpFm1mxvKKjBRhJCDv5KWhSf6ZqhZROPY/jbS569AHjJTpA+g0EUIRDWNBA8GwBpvZz66m8+zeeA6beXZ5YBxL4TMtBPLRta/ASRZNefFFeCsM10wG4pJWfs3xHYz1VCq5BUfX85lX8+VovSBdozhzuY+Wj5zixAvbGOyuwkYPGo2GaLKqBgUNCmXM6OQb0eB2r8RkGqOl5Qhms2fGMyug1chzyLS+R2d7oetywVRJqkWbmbG8IiNQlJGAvDK9RGU+pOtSmgN6e2WvtR//GM6ehUhZOSIYIhxWcPtMBMJaKkx+dq6+zN4tJ3nkjlfYu+Xk3EIElsZnWgisW5ebCNMCi9xcEo2mxKWpTa/8Cgbl9PnKlYRmX0xMzHg+0GsjdI1UZ+7rk0OTx0yM4uwN/Wy75wTl1R76r6xkPFCFEBBBEAHKMRBC+pEIAePjFfT3r6G83MW2bS9gt19M/MQGQ0yMuLwubBEjm0/3F4xfUhHZNxUMy0+MqINkPNESlZ6e7MPq83EpzYBkEWaDrYwqvQedRtpPaxTBdSsG+FRzG3c3duKwpCk+l8pnWggUocjNF3Fpak6nbFEwMiIf6O2dMvuKxJt9xR4PBmPPVaYP0DVUKav53G6Z9zEXeVgvyMQozt7Qz85Pv07T2t8QDhvo71/LJVctppG1rPKsp3/ERr+rnv7+tYTDBpqajrNz54+SCxGQS1vhMOFwiB5PDzcHanAMTsjzMh8yOa8piBZtFsjhFAXLa5kGsmptmjB6ugQGyRj5aGiSY1JGmCus4BwH3WVESSkubwmHzzfR7lrBnpZTs3NEkrGUPtPFJj9d+4qOaJqaRjPppfH++1IcRJeMky0JRoXx4KAUL7W1UFaGThMhENbJGpR0q/nysF6QqVGcucLPli2/pOGa13h7vBGbey3rhrdgCJcwYRhFOI6zwTqCo/a9qWTVVEQiCL2ezqH3ZGfj9hVg6CuYKkm1aDNzlp8YSWOQ7PWUcdLp4ILbysXhSgJhHQZtiLWVw6yzDbF5xRUcBTJIptttNCUJS1TSuHlMcykV99+PkqfC+Dkz0i0WqK+H8+dRzGZWlHqxmX10um0cOLEtcdJqovdSIJ/pkiEXInft2qKy4o/S6+mNlQa/2dOMf9xAhauPSlcXtlJBra4SSyTF8BsVK3q9TNbs6YG6OkKRckoNAXkq06nmy6PJY6ZGca5yHT2Bc2yr87IHaMaLEHBG6eMAJxjGTwk20gnYhwMTdK5QpjobH/lhQVVJqkWbmbP8xAgkHSTdPjOH2jdwrLueIb8JgzZCmSGAVongD5k42r2aVy+twTrhYMe1a9h9x4dZaF+a6YPcxeGLTIQmMOqMrK1cyzrbupj/QcZES1QOHpSzoLo6GSNMMmvrdb/PyZEOLqwxc7HZQODKP2HoNcz/OGaQdkPhjRtlkxW3G6qq0GpgfdUgHYNVHDzdyv6dv0meM1KkPWgKnmxErscjb6AdHTKZWFHgb/+2aCwq3T43h9oPcaz7GEP+IQxaA8ZqGyPOdUx4e+k2TXCpVIOJYeonjGz0lmCOzFHvGe2t5HQyVraKzY5h+Vg6Jc95NnnMyCiuvIRdF1awu+xWbEpJ7O01Y2cf2zjIac7QTx0WqilJbIKGwIWXHv0wDdbt7Nm2j+aaTQVVSr4EKtsXheUpRhIMkm0uBwdPt9LltlJn8dBc0z/7g49EEINuXOZqDoc/Qvt3KhbMmCY6yL3c9TLvj7yPP+SfMvmZNCIy6UxcU3ENH2r4ELs37o5rqZ3WhZxGQxO3d5BDpe9zzDrO0KoyDPUOysoMaMNB/CE/R7uP8uqlV7GarOyo3zHrODIl7Qiz2QytrdK7YXAQbDYUjYZGm5sz/TUcat/A3i0JFl6LvAdNwZOuyPX5ZDbye+/JfAqLBa6/HsrLp0pOC9yiMmqA1uXuos5SR3NNM4qioG2A4WMRLIYISsSECEXwGhTOl/gY0AdpHSvDHkzhkzMpSMTYOMGwlwarTNxMq/JrAdYL0jaK09ThePsZcI3DipK452jGzn52coh2jnOFNvrRo6UMPTo0hIgwRpAgYWx+2BVex+67HsVmv04+QYIqyWSurnMyz4o6tWgzO5anGIG4QbLt6CgH+j7MsGJhU00/Ws2MhCwhZFdYjwfFamVF60Zs1RULZkzT1tfGd3//XY51H4s5H2o12lizqqhFsy/oY8g3xDnXOX7z7nts1/wFYfeazDyNUjQ0abP4ONg0SpfJRJ2jheYV1yQPyXpdHD5/mHZXO3ta9mTVDj3jCLPdLvtWnDolXRotFrQlJdRZPBy/Us+u6cms0fLFnp6i70FT8Mwlcvv7pRDxeKQovPFGuO66OLtvoKAtKtv62jhw4gDD/mE21WyKy5+odXRiEiV4IzWU6pwoExOURnSYAxrc+hAnyj1sG7XMKUhcmhpsgb6pnkrplDwv4HpBWkZxKZbIbZjZyxZ20chJnFzAzUWGCRCmFAObcdAQqWDzhWEcd30c1l43tfPatfT+9iVO4ovbz4CWtVSyDhubqcWBZe73mYNS8mVY2T5vlq8YAWhuZvC/PcTBL3Qz7POz3nAWZVAj79rT+5VEInJgbGqSywFmM1rkskFHh5z07d+fn4laW18bf/P63/BO3zsoKFiMFkp0JUlFwOiIjt43b6brYisvRZw011ayakVl5j0QZjQ0aXO+w4Hff4dhfw2b5khWUxSFFaUrsJltdLo7OXDiAPu27ctYkGQVYbbbpZ17e7sskezvp1rR0OZt4ORZI4669szb1RYZBRnOTSZye3vl/0c7961cGXPVnEWBWlQOegc5ePogw/5h1letn/XdtAQ6qa8Ocd75YcwWNxrhBwQaFKqCOgb1IU6VjXHbSEXSJZuw0NAjatml/xWOsYsgrp278muR1wsS5rKlkUfkwBInGmIRDiHgfAesvi5uOdXtc3Oo/D2O2U4xJEowKFrKMKBFwU+Io3TzKpewYmIH9exmIzaSdFjOUUVdkdo3LSrLW4wAz79mpavUyqaPeVAGrLGumXH9SqxWmc0+Y5DMtzHNoHeQv3vz7zjZexKTzoTNbEOjJE/uGr/SgOvoRwj1O9BaruI1/45eUy8t9o/EtTfPdII56B3k4Dv/knSwTYZWo2V91Xo6Bjs4ePog+3fuz2jJJusIs9ks+1Y0NoLTieJ2o+/S0DVuh4qK7NrVFjBF1Ql0usgdHITHHpMXZCYJrtGS03zPBNLk+XPP0+XuYlPNpsTfDbebjddexBVoxj20jirNaZRwBLRaFBRsQR39hiDtJV62jM0WYkJAp28lDeZedpe+AkOV6VV+FeJ6QRZ5RApK0uXU2NKYOE+doYRmXylKyexIUDTX5DDnacfFHlpoJkGn5RxV1GVRtJmQ5VTgt6zFSNwyQKUFKqcNBGlK2iSJ5jnhX9/5V97sfhOj1kiVuSqlCBjrXkvPK/cQGi+jdNUlUMJ4g1q6R7s53Xeam1fdHNs20wnmnINtChRFodHWyJn+MxxqP8TeLekrtnlHmC2WmIAsq4OuilZ46pPzeMLCoug7gS4Bi8oeTw/Huo9RZ6lLHi0cHsZcPkFLyxFOnLiHwaEN2AznZLmvIl1ILSEtV4wTNPrMWMJTw3JYaOj0raRSN8Ye+xFsYR8MhsFoTG/AKcT1ggyT5ZMtp8Ytja3eitath87zYC6RPWymoaCwglJsmOnEzQFOsI9t8YIkhxV1amV75iw/07NppDSmyWBwzIcxTY+nh39/99+JRCJUlaQWIsGxcvqOfoTQeBlmRzeKJoKiKJToSxBCcHbgLJ6JmZbK6fVASGuwnQOtRkudpY7jV47T60nPSjA/EWZlybScaWuDRx+Vg53JJMfnDRtg1So5cK1aJX9vbpaPHz4st59mpLm4LBGLylPOUwz5h6guSeJuJYS8q2gU7PaLbNv2gnQjHdvE+Hh5zDCsJKLBp4ngNARiuw0EKzgzvoaVRhf76l6gueyiHJfc7vQrvwrV5DGaR7Rrl3SabWuTYdrubvlZdnfL39va5OO7dsntJ4XIzKUxrUYrl9CtVhh0A4nfrxYN66liGD8HOY0b39T7y3FF3e7d8uk6OzM//cuxwG9Zi5FCNqZ5uetluj3dVJVUpVyaAXC9dSu+AQfm2qtx70VRFMx6M6MTo1wcTuxmGJ1gdnXJCeZM5hxs06S6pBq3z81JZ3qKbQn2WsuamQ6XOXT2XjyWiEXlBfeFWCJ5QhRFiqaI/Azt9ovs/IOf0HTdCcLCTP9gI67hBkbH65jw2ukKVNPuXU3b+FomIgZ2VR1n/+ofSSESiciZg9mcfuVXITvhRvOIHnlE/nvrrXIZVa+X/+7cGf/4tPcbjdY22hqnzr3ZDC2tUn27BkFEEr6sgkIjNrpwc4h2Och0dOS8oi66IlVZKZ8+3bEsT4dT8CzrZZpCNqY52n2UcCRMib4k5XYTQ1WMXLgeY+Ugimb2l0+v0RMRES6PXOYG+w0JnyPVUtOcg22aKIqCXqunayj9k1SIEeaFYKaXTCAcwKCVHi4rlA289q87GB4uK+Y0i8KeCWTAxeGLlBnmGEQqK+VMfxKz2cOWHS/T2PAGzg47bncdwxNr8aNnwjzMTk0PDaZeNpd14jC6J5u2yGo+9Hr4oz9KP2m3GNYLZiTLz7VEnjJaG62oO30qVlFHSQnMKPHVoqEOC8f9ney6EMSx+rq8VGflaEVqWbBsxUihG9N0uDrSEgFjl68lNF6GcVWyyIeCRtHg8qaeGSXxNEpvsE2TMn1ZRmJkuWWkJzLMKjOUoVW0MQ+Xjl9rcJ+20bxJgz+0IS4xeS4KJM1CUsgzgTSJltRrlTkGEZsNLl1CLh0osevZYp/AUnUBBn4Lo6P0aH0YFA37zqxG0WjBHwFPUIoBs1l+eELICEImFEG7hzjmOL5otLa5Jsmd2m6HndMq6vr6ZZffGVWS1eEwbeV+Tt7ehONT+VPnadg3LfUCv7RYtmKkEBPNowgh5M1Ik8J3YBL/QB0aXTjx606OetGbWSrr+EQTzLQH2zTRabRxRm1zsZwy0pMZZuHxyOZqbjeebh0db67CYujkvYtDDDo7aF29HXvN2rRfJ58J12lT6DOBNImaDUa9f5LhMTTidNpwn69n2LuGcFiPVhuksrIXm62H2tpOLFW9hP39GMbDKCZz4mo+v1/mT2R6Ieeg3UMhrRekFa2dUVEXVyWpN0CtA8VqRW/y0LW+Me/vLYV9U6yqfQkV+GXFshUjUATLAGmMq74BB1rjZBJWKCSv7lBI/kQHZ20YdBF5kMk8HJg9wUx3sE3KtBspw8OExAilignlwrfTqjkthghzLkhomOXzTc7susHnB60W59U78PvLqCl1IjwR3OM9nHAfZpt1E/ZN22ebhCVhZhRswX1JCnkmkCFrK9dytDvxIOIbNdP+mw10v1uPv9uP1jeEwSJQNBFCIQPd3c1cutSKyTRGff27aDa+wGZHJThumv2hhMPyy5nthbyE1gsyitZOq6gDZp3XspHujKK18yXDFallxbIWI4W6DKAoClaTlfdH3p/zdUVIj0JQ3vgnJmQIUlEmf4CIICwClE8IlFdekQ3lJo3bZpJogplqsE1KghspBgNjhgk2+yozqjkttghzpiQ0zOrrk2veQ0NyILXXAAruC9eiNSooJiMKRqooYTDk4VT/O9z2+jjm1q0yRD0HY2PyXvPDH8JLLy2SL0nBzwTSY51tHa9eenVWtK+vq4bTR1px91ixVHuoaR5H6e6FiQCUmInONKS5cwXnz99M2LWCD7d0gJ34Cz1XF/ISWC+Yd7R2xgCi0+gyitbmGlWITLGsxUghLwOsr15Pp7tzzqUVRYwTGdVCiW/ypq9nekhFIIigUKWphKAOzp+XDeVaW2fduBJNMJMNtklJciMVCIL4aDCthcrGtJ3XlliEeRazPFz6+mR/Hb8famri/BKGhx0YDFPN/hQUbDoL/dpx2seusuWEkMl7SQRJVCN2d8uPp69PFi0sii9Joc4EMmRz7WasJisur4sVpXIQ6euq4cTz2/CPm6hZ249GKwA92GtltMHrk5MBRUFRoLR0hIh5kCH3Ko6fWM/Obaemukzn+kIu8vWCeUdrZxCKhCg1lC6KEFGJZ1mLkUJeBri1/laOdB5hPDBOmTFJSHJsDLOunRH/VqiMFyFRgoTRoGG1Ui4HG7NZLpucODHrxpVogplosE1KihupCy82zGymVv4hA+e1JRRhjmNWVYDXK4Wc3w/VVcSJSgHhsB5Fia8P1KBgUQxcsURodHuwnDol7fBnRL76+qaqaS0WqKqS1/vKlbMn4QvS/qWQZwIZ4LA42FG/g8Pv/Ae2q4NMXIlw+kgT/tEhqqouo/Sa5GdRViZ/6uqgzwnj42A0gF5PBBjX+Lm+aojA4ErZZfrW17GNd+fvQi7i9YKsorVJGAuOsdlRwMlky4hl7TMChWtM86GGD7GqYhWDvkEiierlg0Hoc2Iq7yKimBBi9kAiEHgJUY6RtVjlHzUaeSfy++XdyeeLvZdEE8zoYNvj6SEcSVEoP/NGOk2IhInQg4ebWTW7UVU6zmvM2yOpIJnl4XLunFQLVTZmCktpVxFEiNmKuQQ9PkI4rXq5f3t73ONRjejxSI1YWipX87Ta2fefBfMlic4EenqyN5OJzgRuvnnxZvFuN7t/P07DO910nn2D9jfW43bXYqt8HyUSlh2He3vh0mQfHqMRVl8jv4MRgRgbx+0fxjqh4bpxE43ai3S9r+PQry0LeyEXiRABGa2NLq3MByEEwXCQBmuBl9ktE5a9GClUYxqHxcEnrvsEWo0Wl9c1+4vncoHfT9k176EzjRLyWuMelkIkiAaF61iBBePUg4oiD3jajSvVBHP3xt002Bpiy0YJSXIjFQg6cdOAjd1sTLzvXM5rk8zDI6kgiasK8Hhkjo3FMsvKOkplZS+BwOxcHwUFDRqGlAm5/5Ur8vmQGvHUKakRq6qkFgUpPK3WWU8VI02NOD8KdSaQLpM2uLb//Rp7QpvQa67n3aFWyqzDaEx6KTxKSqCsVJ74wUG4/L4UGQ4HkWuuYXBFKaaycloVB2aNEW2Jkbp1Jo7XfIzeBx4tjgt5gZkerZ0PLq8Lm9nG5lo1MlIILOtlmiiFugxwX8t9vN37Nm90v4HL65pyY52YgNERMBgw6geoqH+bwfMfRGceQdFEYkIkhGA15bQkagil0cRuXOGGRnp6LEmXmmxmG3ta9nDgxAE6BjtonNm1N8mNNEyETtxUYmIPLck7ZUJGNadFHGGOI64qwOmUyb72mqTb22w9XLrUmvD9GtAwhA9K6qTZk9MJFktMI9bUTO0TdShPJUZgAXxJijkhKGqDOzwMmzbRrNWyo7Oa434bnpp3UTBQgl42eUOR5aQ6Pfh8iJ6reO1VeLQhrNV1tNpbsZfZYxdytZisduoBR+vCv7VCJ7Y0dv4wNrMtqzYV4UiYHk8Pu5p24bAUXm7McmTZR0aiFOIygM1s47/f8t/Z4thCSIToG+tjPDCOGBuT2aZ6PQDVG49gtr2Pz72GCRFmjAARwEEZt1CPGX3iFygpQXh9dJ70zDnBbLY3s2/bPlaWr+RM/xkGxgemoiTRG2mJdIsVCAYY5wz9rKR8dkOqZGRp7V2MQmRWVYDbPXkjTv5mams7MZnG8HorZj2mQSGMQChIoTk0hMcjr1uLZSoiAjJaYjZL64q5yHv7l+hMYOVKqXoGBpJHSYSQj585I7dP1d0xnwwOypnL8LAMH00KqLC7gWatlfVKFWEE/YwzgJcR/HiYYESZYKBE0C/GCbv6abKs4bbVt0khArELeZFNZYuCtKK1SRBC0OnupMHWwO6NBVpmtwxRIyPTKMRE82Z7M1+/7es8+/tnebP7TcaD43jGXWh1QQxMoEEhYu7D0PJjPCf2EBlci9l2idWaMrZSh53k9fhhoaHTu4rK8CB79tTNOcFstjezf+d+DrUf4viV47T1t6HX6ilzvY/OGCDEKGMECRLGhpldNLGbjakjItNZRqPwrKqA4WFZX5sCi8VNff27nD9/M2azB800+/8IAgOKnIkbDDA0hNM5lUsc2y4iA1lNTSktZ+JI5s6bM4qt5DRJt+GLw5XYDBFW4aARG07GcONjGD/hyc/HgQWrwUjtgB+L1QDXJP5uLJKpbNEwZ7Q2CeFImE53J5WmSva07MFmVpfACgVVjCSg0JYBmu3NPPLBRzjUfohXul7hfedr+JQwAcIIFBQEFfbzWLb9BP/pT2Pu30GLRVBTEkg40RYCXN4SejwWGsrfZ0/DmzSnOcO0mW3s3bKXXY27pvqnvNVJQGekFBObcdCAlc3Uzk5WTYdlNArHqgKmdXadi40bf4PLdQ1u90qqqrpj12WACI6o6NNoIBzG7RZotUrc8ozbLe/hG5Ok7yRiQTRiIc4EEpGk27AQEAjr0CpSIFowxuVpiclvKiC/k6XjMrensTGhKlwkU9miIhqtPXj6IGf6z1BnqaO6pDphma4QApfXRY+nhwZbA3ta9tBsL+Ds9mWIKkbSoBAGg5gIuPZuTr75eS6IIS4aIkwQwoiOBqw02K2s2fkeb7ZbOX6lnrb+SvTaCGX6ADpNhFBEw1jQQDCswWb2s6vpPLutr2GzBDMe9RwWh1xrFQL+tQMRDKCU1c3/jS6jUTjm4QIoWq2MAMyB2eyhpeUIJ07cw+BgPTbbVRRNmAgRrJjkRpEIGAwMDyuxYEskIoWIyQQtLWmbtcZYMI1YaDOBmUTro2eId0UBgzaEP2RKuJsyc1ZQUhKX2zOTRTSVLSqSRmv1Zeg0OkKREGPBMYLhIDazjV1Nu9i9cbcaESlAshIjBw4c4O/+7u9wOp20tLTwzDPPcNNNNyXd/uc//zlf+9rXuHTpEo2NjXzzm9/k7rvvzvqglzOO8jocNIFnFCpWxc+4AMxw3ZaT7Grs5KTTwQW3lYvDlQTCOkoNATY7nDRYh9hc24vDMgbdo2CoyH7Um7T2VpaAtfdCE+fhMqOzayrs9ots2/YCp09/hP7+NegsTkwlAWqVySW5QABR6yA8KH8dH5dLMzabFCJpmLTOYtE0YqFdBym6Da+tHOZo9+r0nkdRYrk9iSimLtOLTcJo7WS361JDKZsdm2mwNrC5drOarFrAZCxGfvrTn/Lggw/y7LPPsn37dp5++mnuuusuOjo6qKmZXQnw5ptv8qd/+qc8/vjj/NEf/RE/+clPuOeee3j77bfZtGlTTt7EsmOalfasGdckDssYDktn7PekN5FcjHpLxNp7oYmrCrBWoJ3W2XUu7PaL7Nz5I95tv5W2Kw1U9TdzRVtOmX4CnXeCUNjByIhMtrbZZI5Iki4AabGMNGJqUnQbXmcb4tVLa9IXbJO5PTMpli7ThUYsWjvJYlm8q2RHxtU0Tz31FJ/73Of47Gc/y3XXXcezzz5LSUkJP/jBDxJu//d///d85CMf4Utf+hIbN27kkUceYcuWLXz729+e98EvW9atm5qmpknSrr65GPWyOJ6ELMNROFYVYPYhzEZZ6pImJvMoZVv+lY/c8b/48pZz3Fp/mYrIMHqznoq1Vm64AVavhjvukA1MsxUiIDXiMvpYEjNHt+HNtb1YTX5c3pL0nm8yt2fm96YYukwXA6oQKS4yEiOBQIC33nqLO++8c+oJNBruvPNOjh07lnCfY8eOxW0PcNdddyXdHmBiYoLR0dG4H5VpTLfSng+5GvUK7XiKiGhVQKXVQYddT9gzCokcd2cQJkIHg1Ri4gHLKu5tvMxfbj3GUw3f5pkvdvHUP5bx2c/KSpgkE/m0WYYaMTHRbsNJnBEdljF21HfT47EQjqRxI0xgg1sIprIqKotBRmLE5XIRDoexz1h0ttvtOJ3OhPs4nc6Mtgd4/PHHqaioiP3U19dncphLn0Kz0i604ykyYh4uG27iTFWYgeFeBIkFSVIPl2mOpMrHpXeCqhHzwNq1MkyUhN0bz9FgG6LTbZs7UBgIxDnPFYKprIrKYlGQpmdf/epXGRkZif10p5nYt6woNCvtQjueIqPZ3sz+Dz/CrpvuY8Kkpc3TRbvop5sRevHQzQjtuGijnwnC7KKJ/eyUQiRJbwJVI+aBOZYkbWYfe1pOUWny0zFYlTxCIoSMjEyKkXy3l1BRKXQyEiPV1dVotVr6+vri/t7X10dtEjvH2trajLYHMBqNlJeXx/2ozKDQmuoU2vEUITazjb0fe5hHPv4d9uq2cWuPjgpvBD0aKjCxk9XsZQuPcAd72YJNmOZ0JFU1Yo5JI9zUbO9n37YTrCz3cKa/hoHxktnnftIGV9hrC8JUVkVlsVFEhl6627dv56abbuKZZ54BIBKJsHr1ah544AG+8pWvzNr+3nvvxev18otf/CL2t1tuuYUbbriBZ599Nq3XHB0dpaKigpGREVWYzKStTVpTd3UVRlOdQjueYsXtjjmSCvcgit6Q3JH05ptTOpJOb6OSTfsX9QY5g+9/Hw4flg6sKU6m22fmUPsGjl+px+0zTXn+KCFCgyOM1TQQrF+XzkeoolK0pHv/zliM/PSnP+X+++/nH//xH7npppt4+umn+dnPfsa5c+ew2+185jOfYeXKlTz++OOALO29/fbbeeKJJ9i1axfPPfccjz32WEalvaoYmYNpNy7c7tRW2gsx6hXa8RQzvb2zHUkNBingMnAkVTViDnG74dFH4epV2ZtmjqqNXk9ZvOePy4Oh3EjDJ7fR0Fy66KayKir5JG9iBODb3/52zPSstbWVf/iHf2D79u0A/MEf/AFr1qzh4MGDse1//vOf89BDD8VMz5588smMTM9UMZImObpxLdnjWQrMw3VM1Yg5ZB7hJlFRifKAGm5SWR7kVYwsNKoYyZJCs9IutONZpqgaMUeo4SYVlTlRxYiKikpaqBpxHqjhJhWVlKhiREVFRWWhUMNNKioJSff+rXbtVVFRUZkvhd5tWEWlwClI0zMVFRWVokYVIioqGaGKERUVFRUVFZVFRRUjKioqKioqKouKKkZUVFRUVFRUFpWiSGCNFvyMjo4u8pGoqKioqKiopEv0vj1X4W5RiBGPxwNAfX39Ih+JioqKioqKSqZ4PB4qKiqSPl4UPiORSISenh4sFgtKjrLUR0dHqa+vp7u7W/UuyTPquV441HO9MKjneeFQz/XCkK/zLITA4/FQV1eHRpM8M6QoIiMajYZVq1bl5bnLy8vVC3yBUM/1wqGe64VBPc8Lh3quF4Z8nOdUEZEoagKrioqKioqKyqKiihEVFRUVFRWVRWXZihGj0cjDDz+M0Whc7ENZ8qjneuFQz/XCoJ7nhUM91wvDYp/nokhgVVFRUVFRUVm6LNvIiIqKioqKikphoIoRFRUVFRUVlUVFFSMqKioqKioqi4oqRlRUVFRUVFQWlSUtRg4cOMCaNWswmUxs376d3/3udym3//nPf86GDRswmUw0Nzfz4osvLtCRFj+ZnOvvfe977Ny5E6vVitVq5c4775zzs1GRZHpNR3nuuedQFIV77rknvwe4hMj0XA8PD7Nv3z4cDgdGo5GmpiZ1DEmTTM/1008/zfr16zGbzdTX1/PFL34Rv9+/QEdbnLz++ut89KMfpa6uDkVReOGFF+bc57XXXmPLli0YjUauvfZaDh48mL8DFEuU5557ThgMBvGDH/xAvPvuu+Jzn/ucqKysFH19fQm3P3r0qNBqteLJJ58UZ8+eFQ899JDQ6/Wira1tgY+8+Mj0XH/qU58SBw4cECdPnhTt7e1iz549oqKiQly5cmWBj7y4yPQ8R7l48aJYuXKl2Llzp/jjP/7jhTnYIifTcz0xMSG2bt0q7r77bvHGG2+Iixcvitdee02cOnVqgY+8+Mj0XP/4xz8WRqNR/PjHPxYXL14Uv/zlL4XD4RBf/OIXF/jIi4sXX3xR7N+/Xxw6dEgA4vnnn0+5fVdXlygpKREPPvigOHv2rHjmmWeEVqsVR44cycvxLVkxctNNN4l9+/bFfg+Hw6Kurk48/vjjCbf/5Cc/KXbt2hX3t+3bt4s///M/z+txLgUyPdczCYVCwmKxiH/5l3/J1yEuCbI5z6FQSNxyyy3i+9//vrj//vtVMZImmZ7r7373u6KhoUEEAoGFOsQlQ6bnet++feKDH/xg3N8efPBB8YEPfCCvx7mUSEeM/NVf/ZW4/vrr4/527733irvuuisvx7Qkl2kCgQBvvfUWd955Z+xvGo2GO++8k2PHjiXc59ixY3HbA9x1111Jt1eRZHOuZ+L1egkGg9hstnwdZtGT7Xn+m7/5G2pqavizP/uzhTjMJUE25/o///M/2bFjB/v27cNut7Np0yYee+wxwuHwQh12UZLNub7lllt46623Yks5XV1dvPjii9x9990LcszLhYW+JxZFo7xMcblchMNh7HZ73N/tdjvnzp1LuI/T6Uy4vdPpzNtxLgWyOdcz+fKXv0xdXd2sC19limzO8xtvvME///M/c+rUqQU4wqVDNue6q6uLV155hU9/+tO8+OKLvPfee3zhC18gGAzy8MMPL8RhFyXZnOtPfepTuFwubr31VoQQhEIh/uIv/oK//uu/XohDXjYkuyeOjo7i8/kwm805fb0lGRlRKR6eeOIJnnvuOZ5//nlMJtNiH86SwePxcN999/G9732P6urqxT6cJU8kEqGmpoZ/+qd/4sYbb+Tee+9l//79PPvss4t9aEuO1157jccee4zvfOc7vP322xw6dIjDhw/zyCOPLPahqcyDJRkZqa6uRqvV0tfXF/f3vr4+amtrE+5TW1ub0fYqkmzOdZRvfetbPPHEE7z00kvccMMN+TzMoifT83zhwgUuXbrERz/60djfIpEIADqdjo6ODtatW5ffgy5SsrmmHQ4Her0erVYb+9vGjRtxOp0EAgEMBkNej7lYyeZcf+1rX+O+++5j7969ADQ3NzM+Ps7nP/959u/fj0ajzrFzQbJ7Ynl5ec6jIrBEIyMGg4Ebb7yRl19+Ofa3SCTCyy+/zI4dOxLus2PHjrjtAX79618n3V5Fks25BnjyySd55JFHOHLkCFu3bl2IQy1qMj3PGzZsoK2tjVOnTsV+Pvaxj3HHHXdw6tQp6uvrF/Lwi4psrukPfOADvPfeezHBB3D+/HkcDocqRFKQzbn2er2zBEdUBAq11VrOWPB7Yl7SYguA5557ThiNRnHw4EFx9uxZ8fnPf15UVlYKp9MphBDivvvuE1/5yldi2x89elTodDrxrW99S7S3t4uHH35YLe1Nk0zP9RNPPCEMBoP493//d9Hb2xv78Xg8i/UWioJMz/NM1Gqa9Mn0XF++fFlYLBbxwAMPiI6ODvFf//VfoqamRvzt3/7tYr2FoiHTc/3www8Li8Ui/u3f/k10dXWJX/3qV2LdunXik5/85GK9haLA4/GIkydPipMnTwpAPPXUU+LkyZPi/fffF0II8ZWvfEXcd999se2jpb1f+tKXRHt7uzhw4IBa2pstzzzzjFi9erUwGAzipptuEsePH489dvvtt4v7778/bvuf/exnoqmpSRgMBnH99deLw4cPL/ARFy+ZnOtrrrlGALN+Hn744YU/8CIj02t6OqoYyYxMz/Wbb74ptm/fLoxGo2hoaBCPPvqoCIVCC3zUxUkm5zoYDIpvfOMbYt26dcJkMon6+nrxhS98QQwNDS38gRcRr776asJxN3pu77//fnH77bfP2qe1tVUYDAbR0NAgfvjDH+bt+BQh1LiWioqKioqKyuKxJHNGVFRUVFRUVIoHVYyoqKioqKioLCqqGFFRUVFRUVFZVFQxoqKioqKiorKoqGJERUVFRUVFZVFRxYiKioqKiorKoqKKERUVFRUVFZVFRRUjKioqKioqKouKKkZUVFRUVFRUFhVVjKioqKioqKgsKqoYUVFRUVFRUVlUVDGioqKioqKisqj8/xxdqimcKHAUAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for c in 'rgb':\n",
    "    plt.scatter(np.random.random(100), np.random.random(100), s=200, alpha=0.5, marker='o', c=c)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplot(2,1,1)\n",
    "plt.plot(xs, f(xs), label='f(x)', c=\"g\")\n",
    "plt.legend(loc=\"center right\")\n",
    "\n",
    "plt.subplot(2,1,2)\n",
    "plt.plot(xs, f(xs), label='f(x)', c=\"r\")\n",
    "plt.legend(loc=\"center right\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplot(2,3,1)\n",
    "plt.plot(xs, f(xs), label='f(x)', c=\"g\")\n",
    "plt.legend(loc=\"center right\")\n",
    "\n",
    "plt.subplot(2,3,2)\n",
    "plt.plot(xs, f(xs), label='f(x)', c=\"r\")\n",
    "plt.legend(loc=\"center right\")\n",
    "\n",
    "plt.subplot(2,3,3)\n",
    "plt.plot(xs, f(xs), label='f(x)', c=\"m\")\n",
    "plt.legend(loc=\"center right\")\n",
    "\n",
    "plt.subplot(2,3,4)\n",
    "plt.plot(xs, f(xs), label='f(x)', c=\"c\")\n",
    "plt.legend(loc=\"center right\")\n",
    "\n",
    "plt.subplot(2,3,5)\n",
    "plt.plot(xs, f(xs), label='f(x)', c=\"y\")\n",
    "plt.legend(loc=\"center right\")\n",
    "\n",
    "plt.subplot(2,3,6)\n",
    "plt.plot(xs, f(xs), label='f(x)', c=\"w\")\n",
    "plt.legend(loc=\"center right\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "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": "3.10.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}