{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# dictionaries, sets, and function fitting\n",
"## 09/19/2023\n",
"\n",
"print view
\n",
"notebook"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
"\n"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%html\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# Dictionary"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"source": [
"A dictionary is an **unordered** collection of key,value pairs where the keys are mapped to values. \n",
"\n",
"A dictionary object is *indexed* by the key to get the value."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{'key': 'value', 0: ['x', 'y', 'z']}\n"
]
}
],
"source": [
"d = dict()\n",
"d['key'] = 'value'\n",
"d[0] = ['x','y','z']\n",
"print(d)"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# Initializing `dicts`"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [],
"source": [
"empty = dict()\n",
"alsoempty = {}"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"source": [
"Specify *key*:*value* pairs within curly braces."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"{'a': 1, 'b': 2}"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"example = {'a': 1, 'b':2}\n",
"example"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"source": [
"Add new values by indexing with new/existing key"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"{'a': 0, 'b': 2, 'z': 26}"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"example['a'] = 0\n",
"example['z'] = 26\n",
"example"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# Accessing values"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"ename": "KeyError",
"evalue": "'c'",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mKeyError\u001b[0m Traceback (most recent call last)",
"Cell \u001b[0;32mIn[6], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m \u001b[43mexample\u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[38;5;124;43mc\u001b[39;49m\u001b[38;5;124;43m'\u001b[39;49m\u001b[43m]\u001b[49m \u001b[38;5;66;03m#keys must exist\u001b[39;00m\n",
"\u001b[0;31mKeyError\u001b[0m: 'c'"
]
}
],
"source": [
"example['c'] #keys must exist"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"source": [
"Use **`in`** to test for membership"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"False"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"'c' in example "
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"{'a': 0, 'b': 2, 'z': 26, 'c': 0}"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"if 'c' not in example:\n",
" example['c'] = 0\n",
"example"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# Methods"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"dict_keys(['a', 'b', 'z', 'c'])"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"example.keys()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"dict_values([0, 2, 26, 0])"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"example.values()"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"dict_items([('a', 0), ('b', 2), ('z', 26), ('c', 0)])"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"example.items()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"outputs": [],
"source": [
"def count(vals):\n",
" cnts = {}\n",
" for x in vals:\n",
" cnts[x] += 1\n",
" return cnts"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "-"
},
"tags": []
},
"outputs": [],
"source": [
"d = count(['a','a','b','a','c','b'])"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%html\n",
"\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# The Fix"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"3"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"def count(vals):\n",
" cnts = {}\n",
" for x in vals:\n",
" if x not in cnts:\n",
" cnts[x] = 0\n",
" cnts[x] += 1\n",
" return cnts\n",
"\n",
"d = count(['a','a','b','a','c','b'])\n",
"d['a']"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"source": [
"If this seems annoying, checkout [`collections.defaultdict`](https://docs.python.org/2/library/collections.html)"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# Sets"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"source": [
" A set is an **unordered** collection with no duplicate elements. Basic uses include *membership testing* and *eliminating duplicate entries*. Set objects also support mathematical operations like union, intersection, difference, and symmetric difference."
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"source": [
"Can initialize with a list"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"{'a', 'b', 'd', 'e', 'x'}"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"stuff = set(['a','b','a','d','x','a','e'])\n",
"stuff"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"source": [
"Sets are not indexed - use `add` to insert new elements."
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [],
"source": [
"stuff.add('y')"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# `set` operations"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"source": [
"Efficient membership testing"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"True"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"'y' in stuff"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"and {'a', 'b'}\n"
]
}
],
"source": [
"stuff2 = set(['a','b','c'])\n",
"print('and',stuff & stuff2) #intersection"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"or {'e', 'x', 'd', 'c', 'b', 'a', 'y'}\n"
]
}
],
"source": [
"print('or', stuff | stuff2)"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"diff {'e', 'd', 'x', 'y'}\n"
]
}
],
"source": [
"print('diff', stuff - stuff2)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"outputs": [],
"source": [
"s = set([1,2,2,3,3,3,4,4,4,4])"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%html\n",
"\n",
""
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"outputs": [],
"source": [
"a = set([1,2,2,3])\n",
"b = set([2,3,3,4])\n",
"c = a & b"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%html\n",
"\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# Tuples\n",
"\n",
"A `tuple` is an *immutable* list."
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"(1, 2, 3)"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"t = tuple([1,2,3])\n",
"t"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"source": [
"Tuples are initialized the same way as lists, just with parentheses"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"(('x', 0, 3.0), ['x', 0, 3.0])"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"t = ('x',0,3.0)\n",
"l = ['x',0,3.0]\n",
"t,l"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"'hello 3'"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"'%s %d' % ('hello',3) # second operand of string % operator is tuple"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"outputs": [],
"source": [
"t = ('x',0,3.0)\n",
"t[2] += 1"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%html\n",
"\n",
""
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# Keys"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"source": [
"The keys of a dictionary or set should be *immutable*. Examples of immutable types are numbers, strings, tuples (that contain only immutable objects) and frozensets."
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [],
"source": [
"example[(1,2)] = 'a'"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"ename": "TypeError",
"evalue": "unhashable type: 'list'",
"output_type": "error",
"traceback": [
"\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
"\u001b[0;31mTypeError\u001b[0m Traceback (most recent call last)",
"Cell \u001b[0;32mIn[31], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m \u001b[43mexample\u001b[49m\u001b[43m[\u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;241;43m1\u001b[39;49m\u001b[43m,\u001b[49m\u001b[38;5;241;43m2\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m]\u001b[49m \u001b[38;5;241m=\u001b[39m \u001b[38;5;124m'\u001b[39m\u001b[38;5;124ma\u001b[39m\u001b[38;5;124m'\u001b[39m\n",
"\u001b[0;31mTypeError\u001b[0m: unhashable type: 'list'"
]
}
],
"source": [
"example[[1,2]] = 'a'"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"source": [
"Dictionaries and sets efficiently store data based on the properties of the key - if the properties of the key can change, then the data structure is broken and the data is not where it should be."
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# Efficiency"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"source": [
"Imagine we have two lists, `l1` and `l2`, and we want do something with the items that are in common in both lists. Here we'll just count them."
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [],
"source": [
"def listcnt(l1, l2):\n",
" cnt = 0\n",
" for x in l1:\n",
" if x in l2:\n",
" cnt += 1\n",
" return cnt "
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [],
"source": [
"def setcnt(l1, l2):\n",
" cnt = 0\n",
" s1 = set(l1)\n",
" s2 = set(l2)\n",
" for x in s1:\n",
" if x in s2:\n",
" cnt += 1\n",
" return cnt "
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"source": [
"These two functions generate the same answer *if the lists have all distinct elements*."
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%html\n",
"\n",
""
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"listcnt time: 2.0174601078033447 \n",
"setcnt time: 0.0019466876983642578\n"
]
}
],
"source": [
"import time\n",
"l1 = list(range(40000))\n",
"l2 = list(range(1000,10000))\n",
"\n",
"t0 = time.time()\n",
"listcnt(l1,l2)\n",
"t1 = time.time()\n",
"setcnt(l1,l2)\n",
"t2 = time.time()\n",
"print(\"listcnt time: \",t1-t0,'\\nsetcnt time:',t2-t1)"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"source": [
"Can you think of another way?"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "fragment"
},
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"set intersection time: 0.006762027740478516\n"
]
}
],
"source": [
"t0 = time.time()\n",
"len(set(l1) & set(l2))\n",
"t3 = time.time()\n",
"print(\"set intersection time:\",t3-t0)"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# Do not do membership testing on lists"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "fragment"
},
"tags": []
},
"source": [
"* Lists are *ordered* by the programmer, which means Python must examine *every* element to determine (non)membership.\n",
"* Dictionaries and sets are *unordered* so Python can store the contents in a way that makes membership testing efficient (using hashing)"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# Hashing \n",
"\n",
"The keys of sets and dictionaries must be *hashable* types. Technically, this means they define methods `__eq__` (or `__cmp__`) and `__hash__`.\n",
"\n",
"A hash function (`__hash__`) takes an arbitrary object and produces a number. Objects that are identical (according to `__eq__` or `__cmp__`) must hash to the same hash value. \n",
"\n",
"### What does this get us?\n",
"\n",
"Accessing an element of an array of elements in memory (random access...) is as simple as computing a memory address (base of array plus offset). This is **great** if our keys are a dense array of integers (then we have a lookup table).\n",
"\n",
"Hash functions provide a way to quickly index into an array of data even when are keys are arbitray objects.\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# Hashing\n",
"\n",
"
\n",
"\n",
"In this figure (from Wikipedia), *collisions* are resolved through chaining.
\n",
"With a good hash function and enough buckets, no chain (list) will be more than a few elements long and accessing our data will be constant time (on average).\n",
"The position of an element in the table is determined by its hash value and the *table size*. \n",
"\n",
" `position = obj.__hash__() % table_size`\n",
"\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# Hash Functions\n",
"\n",
"A good hash function of an object has the following properties:\n",
"\n",
"* The hash value is fully determined by the object (*deterministic*).\n",
"* The hash function uses all the object's data (if relevant). \n",
"* The hash function is *uniform* (evenly distributes keys across the range) \n",
"\n",
"The *range* of the hash function is usual the integers ($2^{32}$ or $2^{64}$).\n"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"3 1435080909832 8944782290083313456 2804537357584593689\n"
]
}
],
"source": [
"print(hash(3), hash(1435080909832), hash('cat'), hash((3,'cat')))"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# Implementing a Hash Function\n",
"\n",
"You only need to implement a hash function when defining your own object types (which we haven't talked about yet...)\n",
"\n",
"The best (and easiest) approach is to combine the built-in hash functions on your data. "
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"8944782290083313456\n",
"-6500199754053014813\n",
"-5791914484131828174\n"
]
}
],
"source": [
"a = 'cat'\n",
"b = 'dog'\n",
"print(hash(a))\n",
"print(hash(b))\n",
"print(hash( (a,b) ))"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# Takeaway\n",
"\n",
"`sets`, `frozensets`, and `dicts` use hashing to provide extremely efficient **membership testing** and (for `dicts`) **value lookup**. \n",
"\n",
"However, you **cannot** rely on the order of data in these data structures. In fact, the order of items will change as you add and delete."
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"{3, 999}"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"s = set([3,999])\n",
"s"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [],
"source": [
"s.add(1000)"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "fragment"
},
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{1000, 3, 999}\n"
]
}
],
"source": [
"print(s)\n",
"s.update([1001,1002,1003])"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "fragment"
},
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"{3, 999, 1000, 1001, 1002, 1003}\n"
]
}
],
"source": [
"print(s)"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# Function fitting\n",
"\n",
"`numpy.polyfit` - polynomial fitting\n",
"\n",
"`scipy.optimize.curve_fit` - arbitrary functions"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# polyfit\n",
"\n",
"Takes $x$ values, $y$ values, and degree of polynomial. Returns coefficients with least squares fit (highest degree first)."
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%html\n",
"\n",
""
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"outputs": [],
"source": [
"import numpy as np\n",
"xvals = np.linspace(-1,2,20) \n",
"yvals = xvals**3 +np.random.random(20) #adds random numbers from 0 to 1 to 20 values of xvals"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import matplotlib.pyplot as plt\n",
"%matplotlib inline\n",
"plt.plot(xvals,yvals,'o');"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# polyfit"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [],
"source": [
"deg1 = np.polyfit(xvals,yvals,1)\n",
"deg2 = np.polyfit(xvals,yvals,2)\n",
"deg3 = np.polyfit(xvals,yvals,3)"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"array([2.2623292 , 0.60192043])"
]
},
"execution_count": 47,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"deg1"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 1.39717871, 0.86515049, -0.20697251])"
]
},
"execution_count": 48,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"deg2"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%html\n",
"\n",
""
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n"
],
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%%html\n",
"\n",
""
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"array([ 1.01783337, -0.12957134, 0.11488606, 0.42261805])"
]
},
"execution_count": 51,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"deg3"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"0.4226180479244404"
]
},
"execution_count": 52,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"deg3[-1]"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# poly1d\n",
"\n",
"Construct a polynomial function from coefficients"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"(5.126578820886959, 7.112043304060662, 8.2767717367996)"
]
},
"execution_count": 53,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"p1 = np.poly1d(deg1)\n",
"p2 = np.poly1d(deg2)\n",
"p3 = np.poly1d(deg3)\n",
"p1(2),p2(2),p3(2)"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"(0.6019204286737281, -0.20697250891555835, 0.4226180479244404)"
]
},
"execution_count": 54,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"p1(0),p2(0),p3(0)"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"outputs": [
{
"data": {
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IwYMHmTt3Lq1ateLnn3/mwQcf5NFHH+Vf//pXue2nTZtGUFBQ6SP6dEIUERGpTVLmzgUgaPi1eDW1rxez8eRGZm+YDcCTlz9Jp/BOriqvWpkMwzCctXMvLy+6devG6tWrS7c9+uijrF+/njVr1pzTvqCggIKCgtLfMzMziY6OJiMjg8DAQGeVKSIiUm3yd+7k0A03gtlM8++/x7t5DMm5ydz8/c2k5KVwdczVTO83vUZP4Z6ZmUlQUFCFvr+d2iMSGRlJbGxsmW3t2rXj6NGj5bb39vYmMDCwzENERKQ2KekNCbz6arybx1BkK+KJ5U+QkpdCy/otmdRrUo0OIZXl1CDSp08f9uzZU2bb3r17adq05i9bLCIiUln5e/aQteh/YDIRNvpBAOZsmMPmpM3U86zHa4New8/Tz8VVVi+nBpHHH3+ctWvX8vLLL7N//34++eQT3n//fcaMGePMw4qIiLillHdO94ZcNQzvFi348eCPpZOWTe07laaBde8f6k4NIpdffjlff/01n376KXFxcbz44ou89tpr3HHHHc48rIiIiNvJ37uXrJ9/BiD0wQfZn76fyWsmA3B/h/sZ3GSwC6tzHaffnHzttddy7bXXOvswIiIibi313XcBCBg6lKJmkTz+w+2li9mN6VR3rxTU7llSRERE3EDBgQNk/rQQgNDRD/L0quc4nHmYSP9IZvaficVscXGFrqNF70RERJwsZe67YBjUu2IInxSvZkn8EjzNnswZOIdgn2BXl+dSCiIiIiJOVHDwEJk//ghAws39eGPzGwA80+MZ4sLiXFmaW1AQERERcaLU994Dmw3P/r158sTb2AwbI1uO5KZWN7m6NLegICIiIuIkhUeOkPH99wDM7ZJKekE67ULa8bcef6tTk5ZdiIKIiIiIk6S89z5YrSR0bMQvvgcI9ApkzsA5+Hj4uLo0t6EgIiIi4gSF8fFkfPMNAG92OokJE9P7TScqIMrFlbkXBREREREnSH3f3hvye3ML+xubGN1pNP2i+rm6LLejICIiIuJghceOc+rrrwH4bx/o17gfD3R8wMVVuScFEREREQdL+fv7UGzl92YmctpGMa3fNMwmfeWWR2dFRETEgYoSEkj/8ksAvunvzasDXyXIO8jFVbkvBREREREH2vbqC5itNrY3MXHLzZNpF9rO1SW5NQURERERBzl6YAsePywDIPW2wYxoOcK1BdUACiIiIiIOkF+cz+KXH8bTCkea+/OXu2a7uqQaQUFERETkEhmGweyfn6PL2lQA2o+fgreHt4urqhkURERERC7R/H3z8frsR7ysUNy+JVEDr3Z1STWGgoiIiMgl2J6ynbcWT+XKzQYAMWMnaB2ZSlAQERERqaL0/HQeX/Y4V60twLsYfDp2xL9vH1eXVaMoiIiIiFRBka2I8SvGk5uUwLBN9m0Nxjyk3pBKUhARERGpJMMwePm3l/kt4TdGbrDgVWTgExeHf//+ri6txlEQERERqaR5u+bx5d4vCcyFqzfZe0DCHqqBvSHx6yH1gEtLUBARERGphOXxy3ll/SsAvBB/Oeb8Arxj21Fv0ECX1lUp8eth3o3w4RWw5CWXluLh0qOLiIjUIHvS9jB+xXgMDP4cchWNf1yEATSoKb0h8eth+XTY/z/77yYLeNcDmw3MrumbUBARERGpgJS8FB5e8jB5xXn0iOjBLd/nkpOfj1+3btQbMsTV5V1YeQGk023Q70kIiXFpaQoiIiIiF5FfnM+jSx4lMSeRZoHNmOp1M2mLHgOLhYYTJ7pvb4gbB5ASCiIiIiIXYDNs/G3V39iWso0g7yDe6v8a2Xc+AkDwHbfj06a1iyssx7ENsGxa2QBy2W3Q/wkIae7a2s6iICIiInIB72x5h1+O/IKH2YNXB76K/1dLSD50CEtoKIeuvYPfthwnPMCH7jEhWMwu7hk5tgGWTYf9i+y/u3EAKaEgIiIich7fHfiO935/D4BJvSbRiWgOzH0QgPfaXc38T7aXto0M8mHS8FiGxUVWf6E1MICUUBAREREpx+akzUxaPQmAe+PuZWTLkRx7/HGM3Fx2hDRjfmjHMu0TM/IZPW8Tc+/sUn1hpAYHkBIKIiIiImeJz4rnsSWPUWQrYkiTITza5VFy1qwh66eF2Ewm3ul4PZw1QNUATMCU73ZyZWyEcy/TlBtAboV+T0BoC+cd1wkURERERM6QVZjFI4sfIb0gnXYh7Xi578uYiq0kvjQVgO+b9eJg/cblvtYAEjLyWXcojV4tQh1f3LGNpweh1vwAUkJBRERE5LRiWzFPLn+SAxkHCPcN583Bb+Ln6UfqPz6i8MABigPr8+92wy66n6SsfMcWdmyj/Tbcfb/Yf68FAaSEgoiIiMhpM9bNYPWJ1fh6+PLmkDdp6N+QopNJpLz1FgCFf3mQ7CN+F91PeICPYwqqxQGkhIKIiIgI8J9d/+GzPZ9hwsS0ftOIDY0FIOmVV7Dl5uJzWUda3X8nka8sIzEjH6OcfZiAiCD7rbyXpLwA0vEW6P9krQkgJRRERESkzlt5bCUz188EYGzXsQxpYp+yPWfdOjK//x5MJiImPo+Hh4VJw2MZPW8TJigTRkqGpk4aHlv1garnBBDz6QAyvtYFkBIKIiIiUqftS9/H+BXjsRk2rm95PX9p/xcAjKIiTr5oX5m2/i034xvXHoBhcZHMvbMLU77bSULGH2NBIi5lHpFyA8ittbIH5GwKIiIiUmel5qXy8OKHySnKoVvDbkzs+ce6MemffkrBvn1YgoJo8NhjZV43LC6SK2MjWHcojaSs/KrPrHp8IyybAft+tv9ehwJICQURERGpkwqsBTy29DFO5JygaWBTXh34Kp4WTwCKk5NJfuNNABqMG4dHcPA5r7eYTVW/RVcBpJSCiIiI1DmGYTDx14lsTd5KoFcgbw1+i/o+9UufT5o1G1t2Nj5xcdS/6UbHHVgB5BwKIiIiUue8+/u7/HToJzxMHswZOIdmQc1Kn8vdtImMb76xD1B9fiImi+XSD6gAcl4KIiIiUqf8dOgn3tnyDgDP9XyOHpE9Sp8ziotJfOFFAOrfdCO+HTuWu48KUwC5KAURERGpM7Ymb+W5Vc8BcE/7e7ixddnLLumffU7B7t2Yg4JoMG5c1Q9UbgCp3bfhVpWCiIiI1Aknsk/w6JJHKbQVMjB6IGO7jC3zfHFqKslvvAFAg8ceLXeA6kUd3wTLZ8DehfbfFUAuSkFERERqvezCbMYsHkNafhptgtswo98MLOayYz+S5szBlpmJd2w7gm+5pXIHUACpMgURERGp1YptxYxfMZ79p/bTwLcBbw15Cz/PsuvF5G3ZQsb8rwCImFiJAaoKIJdMQURERGq12Rtms+r4KnwsPrw5+E0i/CPKPG9YraUDVIOuvx6/zp0vvlMFEIdREBERkVrrP7v+w7xd8wCY2ncq7cPan9Pm1BdfkL9zJ+aAAMKffOLCOywvgHS4GQY8pQBSRQoiIiJSK/1w8Aemr5sOwKOdH2Vos6HntClOTyfp1dcAaPDoo3iEnmemVPWAOI2CiIiI1Dorj60svU23Z+h1tPe7HqvNOGctmORXX8OWkYF3mzYE33bruTs6sdl+G+7en+y/K4A4nIKIiIjUKluStvDYkscpNoopyriMRbt6smjVb0SetTpu3rbtnPriCwAiJj6HyeOMr0QFkGqjICIiIrXG3vS9/N8voykyCijObkP+iVGAGYDEjHxGz9vE3Du78KfYhiS++CIYBoHXDcevWzf7DsoLIB1utgeQsJaueVO1nIKIiIjUCseyjvHgogfJs2ZjzW1C3rE7OPNrzgBMwJTvdtJ95yryf/8ds78/4U8+qQDiQgoiIiJS46XkpfDAogdIzkvGmt+Q3Ph7wPA6p50BZCWnkfD1bMxA2J9vwHPxY7DnR3sDBZBqpyAiIiI1WlZhFqP/N5qjWUep79WQY/vuBZvfedvfvesnzJkZeDfwISR1BqSjAOJCCiIiIlJj5Rfn88iSR9idtpsQnxDGtZ/NY1uPnbf90Ix1XHNoDQAN445hspihw6jTAaRVdZUtZzBX14GmTZuGyWRi7Nix1XVIERGpxUqmbt94ciP1POvx3pXvcW1sRyKDfDCd1ba96RB/95jFs7/PwwQENMnD/8rrYcw6uOF9hRAXqpYekfXr1/P+++/TsWPH6jiciIjUcjbDxqTVk1gWvwxvizdvDn6TtiFtAZg0PJbR8zZhAmJNhxnrMZ8rLRs5ddCXhNRg8DTT8PXPoF1Pl74HsXN6j0h2djZ33HEHf//73wmuypLKIiIiZzAMg9kbZvPtgW+xmCy80v8VukV0K31+WFwk867x4Z9+r/GD97NcadlIYYGZY1vDAAgfOw5PhRC34fQgMmbMGK655hquuOKKi7YtKCggMzOzzENERORMH27/kH/t/BcAL/R5gUFNBv3xZMJW+PR2+iy+gQG2dRgmM/FR17In9y4sBVa8mjcn5K67XFS5lMepl2Y+++wzNm3axPr16yvUftq0aUyZMsWZJYmISA325d4veX3T6wA82e1Jrmtxnf2JhK32eUD2/GD/3WSGuJsw9R9PgzSD7Dk3ABDx3N8weZ17W6+4jtOCSHx8PI899hi//PILPj4+FXrNM888w7hx40p/z8zMJDo62lkliohIDbLoyCJeXPsiAPd1uI+729993gBC//HQoDWGYZA49i6w2Qj405/w793bhe9AyuO0ILJx40aSkpLo2rVr6Tar1cqKFSt46623KCgowGKxlHmNt7c33t7ezipJRERqqLUJa5mwYgI2w8aNrW7k0YgB8Ont5w0gJTIWfEPexo2YfH1p+PQEF1UvF+K0IDJkyBC2bdtWZttf/vIX2rZty4QJE84JISIiIuXZkbKDx5Y8RpGtiCvDL2fi4T2Yfhlgf/I8AQSg8PBhTr5o70EJGz0az8jI6i5dKsBpQSQgIIC4uLgy2/z9/QkNDT1nu4iISHkOZhxk9P9Gk1ucSw9TPab/Nh8LXDCAANgKCzk+7glsubn4detG6F//Uu21S8VoZlUREXFLiTmJPLDwr6QXpNO+oIDXE+LxwvTHTKjlBJASybNnk79zJ5b69Wk06xVMHvq6c1fV+l9m2bJl1Xk4ERGpodKP/Mr/LX+MRKOAZoVFzE1MwT/uJuj/1AUDCEDWkqWkfWy/vTdy2st4RkRUR8lSRYqIIiLiPhJ+J2fZyzyUtYlD3t40LC7m/fqXEzxy4kUDCEBRYiIJzzwDQMjddxMwaNBFXiGupiAiIiKul/A7LJ9B4e7vGRvRgO2+vtTHg/cHv05kzOAK7cIoLub4k09izcjAp317Gjwx7uIvEpdTEBEREdc5HUDY/T1W4OnwMNb6+uJr8WHusI9oHlbxmxtS3plL3oaNmP39aTxnNmZNXFYjKIiIiEj1OyOAABiYeKlVVxYVJ+Fp9uT1wW8QV4kQkrP2N1LmzgUgYsoUvJo2dUrZ4ngKIiIiUn3OCiBggrgbeTMimi8PzMeEien9ptOrUa8K77I4LY0T48eDYRB04w0EXXuNc2oXp1AQERER5ztPAGHAU/wr6Tf+vuEVACb2msjQZkMrvFvDZuPE009TnJyMV4sWRPztb04oXpxJQURERJwncRssm15uAKFBG77Y+wWvnA4hj3V5jFGtR1Vq92n//JicFSsxeXvTeM4czH5+Dn4D4mwKIiIi4niJ2+w9ILu+O72hbAAB+Gz3Z0z9bSoAd8fezb1x91bqEHnbtpE0Zw4ADZ95Bp82F7+9V9yPgoiIiDhOBQIIwCe7PmHaumkA3NP+HsZ1HYfJZKrwYaxZWRx/fBwUFxPwpz9R/5abHfkupBopiIiIyKUrN4DcYJ8JNbxtmabzds5jxvoZAPw17q+M7TK2UiHEMAwSnn+eomPH8GzcmMgXX6jU68W9KIiIiEjVJW6H5dMrFEAAPt7xMbM2zALg/g7380jnRyodIk59+SVZPy0EDw8az5mNJTDwUt+FuJCCiIiIVF7i9tM9IN+e3nDhAALwj+3/4NWNrwLwQMcHGNNpTKVDSMG+fZyc+jIA4Y+Pxfeyy6r8FsQ9KIiIiEjFVSGAAHyw7QNe3/Q6AA9d9hCjO42u9KFteXkcHzcOIz8f/759CfnLX6ryDsTNKIiIiMjFlRdA2l9vH4Qa3u6CL31v63u8teUtAMZ0GsODlz1YpRJOvjyNgn37sTQIo9GM6ZjM5irtR9yLgoiIiJzfyR32eUCqEEAA5m6Zyztb3wHg0c6Pcn/H+6tURuaPP3Lqiy/AZKLxzJl4hIZWaT/ifhRERETkXCd32HtAdn5zekPlAohhGLyz9R3e3fouAGO7jOXeDpWbJ6REYXw8Cc9PAiD0gf/Dv1fFp38X96cgIiIifyg3gIy0jwFpGFuhXRiGwZub3+Tv2/4OwBNdn+CeuHuqVI5RWMjxcU9gy87Gt0sXGjz8cJX2I+5LQURERBwSQMAeQl7f9Dofbv8QgPHdxvPn9n+ucllJr71O/rZtmIOCaDzrFUwe+tqqbfRfVESkLnNQAAF7CHl146t8tOMjAJ7u/jR3tLujyqVlr1hB2j/+AUCjl6fi2ahRlfcl7ktBRESkLnJgAAF7CJm1YRb/2vkvAJ7t8Sy3tb2tyuUVnUzixISnAQi+804Chgyp8r7EvSmIiIjUJQ4OIGAPITPXz2TernkATOw5kZvbVH3tF8Nq5cRTT2FNT8c7th3hT42v8r7E/SmIiIjUBU4IIGAPIdPXTeeT3Z8A8Hyv5xnVetQllZry3nvk/vYbJj8/Gs+ejdnL65L2J+5NQUREpDY7J4Bgvw33EgMIgM2w8fJvL/P5ns8xYWJy78nc0OqGS9pn7vr1pLz1NgCRkyfhHRNzSfsT96cgIiJSG53ceTqALPhjW+xIGDDhkgMI2EPIS2tf4ou9X2DCxAt9XmBky5GXtM/i9HSOPzkebDaCRo4k6LrrLrlOcX8KIiIitYmTAwjYQ8gLa15g/r75mDDxUt+XuK7FpYUGwzBIePZvFJ88iVdMDBETn3NIreL+FERERGqDagggAFablclrJrNg/wLMJjNT+07l2ubXXsL+DNYdSqPw808IX7oUk5cXjefMxuzv77Caxb0piIiI1GTnDSBPQcP2Dj2U1Wbl+dXP8+2BbzGbzEzrO42rm19d5f0t3J7AlO924n9kP3OWvwfAvzuPoJ+1PsMcVbS4PQUREZGaqBoDCNhDyHO/Psf3B7/HYrIwvf90hjWrelxYuD2B0fM24VuUx4vr5+FpWPk1Mo5PIrrzybxNzL2zC8PiIh34DsRdKYiIiNQk5QaQEacvwTg+gAAU24p5dtWz/HToJzxMHszoP4OhzYZWeX9Wm8GU73biVVzI5LX/oHFOCid96/Na55sxTCZMwJTvdnJlbAQWs8lxb0TckoKIiEhNcHInrJgJOxYAhn2bkwMIQJG1iGdWPcPPh3/Gw+TBrAGzGNL00mY5XXcojaT0HJ5f/y86pB4i28OHF3r8hWwvP8D+7hIy8ll3KI1eLUId8C7EnSmIiIi4s6Rd9h6Qag4gAFmFWTy+7HF+S/gND7MHswfMZnCTwZe836SMXJ7Y9BndT+4m3+LJ5F73crB+43PbZeVf8rHE/SmIiIi4IxcGEICk3CRG/280e9P34ufhx6sDX6V3496XvF/DMGj6n7m0PraZYpOZqd3/zI7Q8ictCw/wueTjiftTEBERcScuDiAAB08d5MH/PUhCTgKhPqG8c8U7xIY65hbg5DfewPuHr7FhYlbX29jQsN05bUxARJAP3WNCHHJMcW8KIiIi7qC8ANLuOnsAiYirtjI2ndzEI0seIbMwk2aBzZh7xVyiAqIcsu/Uj/5J6tx3AUi//zFWJEdhovTdAvYQAjBpeKwGqtYRCiIiIq6UtAuWz4QdX+PKAAKw+MhiJqycQIG1gI4NOvLW4LcI9gl2yL5Pzf+KpBkzAGjw+OO0e+D/mHt6HpGEjD/GgkQE+TBpeKxu3a1DFERERFzBjQIIwKe7P2Xab9MwMBgYPZCZ/Wfi6+HrkH1nLlpEwsSJAIT89a+E/t/9AAyLi+TK2Aj7XTRZ+YQH2C/HqCekblEQERGpTm4WQAzD4I3Nb/DBtg8AGNV6FM/2eBYPs2O+HnLWrOHEuCfsC9nddCPh45/EZPojaFjMJt2iW8cpiIiIVAc3CyBgnyNk8prJfHvgWwAe7vQw/9fx/8oEhUuRt3Ur8WMexigqIuDKK4mcPNlh+5baQ0FERMSZknbbJyLb/hV/BJDhpwNIB5eVlVOUw7hl41h9YjUWk4VJvSZxfavrHbb/gn37iP+/BzByc/Hr1ZNGs2dh8tBXjpxLnwoREWcoL4C0vRYGPu3SAAKQkpfCQ/97iF1pu/D18GX2gNn0i+rnsP0XHjvG0Xvvw5qRgc9lHYl+6y3MXl4O27/ULgoiIiKO5KY9ICUOZRxi9P9Gczz7OCE+Ibwz5B3ahzlufpLi5GSO/vVeipOS8G7Vkuh338Xs7++w/UvtoyAiIuIIbh5AALYmb+XhxQ9zquAUTQKa8O4V7xIdGO2w/VszMjh63/0UHT2KZ+PGRH/wIR7Bjrn9V2ovBRERkUtRAwIIwNKjS3lqxVPkW/OJC43jrSFvEerruLtVbLm5xD84moI9e7A0CKPJR//As2G4w/YvtZeCiIhIVdSQAALw3z3/ZepvU7EZNvo17sesAbPw8/Rz2P6NwkKOPfoYeZs3Yw4MpMkHH+DVpInD9i+1m4KIiEhlJO+x34a7fT5lBqEOmACRHV1a2tkMw+DtLW/z3u/vAXBDqxuY2HOiw+YIATCsVo5PmEDOqlWYfH2JfvddfNq0cdj+pfZTEBERqYgaFEAAimxFvLDmBRbsXwDA6MtGM/qy0Q6dx8MwDBJfeJGsnxaCpydRb7yBX5fODtu/1A0KIiIiF1LDAghAblEuTyx/glXHV2E2mZnYcyI3tb7J4cdJfvU1Tn3+OZhMNH5lJvX69XX4MaT2UxARESlPDQwgAKl5qYxZPIYdqTvwsfgwa8AsBkQPcPxxPvyQ1PffByBiymQChw1z+DGkblAQERE5Uw0NIABHM4/y4P8eJD4rnmDvYN4a8hYdGzi+5vQvviDplVkAhD/5BME33+zwY0jdoSAiIgKQvBeWz6iRAQRgW/I2Hl7yMGn5aUTVi+LdK9+laWBThx8nc+HPJE6aDEDo/fcRet99Dj+G1C0KIiJStyXvtd+Gu+1LamIAAVgWv4ynVjxFXnEesaGxvD3kbcJ8wxx+nOxff+X4+PFgs1F/1CgajBvn8GNI3aMgIiJ103kDyFMQeZlLS6som2Hjvd/fY+6WuRgY9GnUhzkD5zh0jpASuZs3c+zhR6CoiIBhw4iYPEkr6YpDKIiISN1SCwIIQFZhFs+uepZl8csAuKXNLUzoPgFPs6fDj5W/Zy/xD47GyMvDv08fGs+cgclicfhxpG5SEBGRuqGWBBCAA6cOMHbpWA5nHsbL7MXEXhMZ2XKkU46Vu2kzxx55BFtGBr6dOhH15huYtJKuOJCCiIjUbrUogAD8cvgXnvv1OfKK84jwj+C1ga85dPXcM536egGJzz+PUVSEd2w7ot97F7Of4y/7SN2mICIitVMtCyBWm5U3N7/Jh9s/BKB7RHdeGfAKIT4hDj+WYbWSNGs2aR99BEDAlVfSaPo0zP7+Dj+WiFODyLRp0/jqq6/YvXs3vr6+9O7dmxkzZtBG6xCIiLMk74UVr8D2L8Gw2bfV4AACcCr/FBNWTmD1idUA3B17N2O7jnXomjElrFlZHH/ySXKWrwAg7KGHCHt4DCaz2eHHEgEnB5Hly5czZswYLr/8coqLi/nb3/7G0KFD2blzJ/5K1iLiSLUwgADsTtvN2KVjOZ59HF8PX6b0nsJVMVc55ViFR44Q/9AYCg8cwOTtTaNpLxN49dVOOZZICZNhGEZ1HSw5OZnw8HCWL19O//79L9o+MzOToKAgMjIyCAwMrIYKRaTGSdl3eibUMwJIm2tg4IQaHUAAvj/4PVNWTyHfmk9UvSheG/QabUKc06Ocs3Ytxx8bizUjA4+GDYl6+21845wz9kRqv8p8f1frGJGMjAwAQkLKv6ZZUFBAQUFB6e+ZmZnVUpeI1EC1OIAU2YqYs2EO83bNA6BP4z7M6DeDIO8gpxwv/dNPSXxpKlit+HTsSNRbb+IZHu6UY4mcrdqCiGEYjBs3jr59+xIXF1dum2nTpjFlypTqKklEaqJaHEAAUvJSeHL5k2w8uRGA+zvcz5hOY7CYHT9vh1FUxMlp00j/5FMAAocPJ/KlFzF7ezv8WCLnU22XZsaMGcMPP/zAqlWriIqKKrdNeT0i0dHRujQjIrU+gIB9vZixy8aSlJuEv6c/U/tOZUiTIU45VnF6OsfHPk7ub7+ByUSDxx8n9P77zpkt1WozWHcojaSsfMIDfOgeE4LFrBlV5cLc7tLMI488wrfffsuKFSvOG0IAvL298VYSF5EzpeyzD0Ld9kXZADLgKWjUyaWlOdL8vfOZ+ttUimxFNAtsxuuDX6d5UHOnHKvgwAHiRz9E0dGjmP38aDRrFgGDB53TbuH2BKZ8t5OEjPzSbZFBPkwaHsuwuEin1CZ1j1ODiGEYPPLII3z99dcsW7aMmJgYZx5ORGqTOhJACq2FTFs3jS/3fgnA4OjBTO07lXpe9ZxyvOzlyzn+xJPYsrPxbNyYqLnv4NO69TntFm5PYPS8TZzdZZ6Ykc/oeZuYe2cXhRFxCKcGkTFjxvDJJ5/wzTffEBAQQGJiIgBBQUH4+vo689AiUlOVG0Cutq+GW4sCCMDJnJOMWz6O35N/x4SJhzs/zH0d7sNscvycHYZhkPaPj0iaNQsMA79u3Wj8xut4lHPzgNVmMOW7neeEELBPDWcCpny3kytjI3SZRi6ZU4PI3LlzARg4cGCZ7R999BH33HOPMw8tIjVNHQogABtPbuSJZU+Qmp9KgFcAM/rNoF9UP6ccy1ZYSOLzk8hYsACA+qNGETHxufOuGbPuUFqZyzFnM4CEjHzWHUqjV4tQJ1QsdYnTL82IiFxQHQsghmHwye5PmLV+FsVGMa2CW/H6wNeJDox2yvGKU1I49sij5G3eDGYzDZ95huA77zhnUOqZkrLOH0Kq0k7kQrTWjIi4xnkDyFPQqLNra3OS/OJ8XljzAt8d/A6Aq5pdxeTek/HzdM5Ccvk7dxI/5mGKExIwBwbS+NU51OvT56KvCw/wqdD+K9pO5EIURESkeqXsP70YXd0JIADHs4/z+NLH2ZW2C7PJzLiu4/hz7J8v2DNxKTJ//oUTTz+NkZeHV7NmRM19B+8K3jDQPSaEyCAfEjPyyx0nYgIiguy38opcKgUREakeKftP94D8948A0voq+zwgtTiAACyPX85zvz7HqYJTBHsH88qAV+gR2cMpxzIMg5S5c0l5400A/Pv0ofGrc7BUYi4mi9nEpOGxjJ63CROUCSMlsWnS8FgNVBWHUBAREeeqwwEktyiXmetnMn/ffABiQ2N5beBrRNZzzm2vtrw8Tjz7LFk/LQQg5O4/Ez5+PCaPyv9VPywukrl3djlnHpEIzSMiDqYgIiLOUYcDCMCWpC08u+pZ4rPiAbgr9i4e6/IY3hbnTNpYlJjIsYfGkL9zJ3h6EjnpeerfdNMl7XNYXCRXxkZoZlVxKgUREXGsOh5AimxFvLv1XT7Y9gE2w0ZDv4ZM7TvVaZdiAHI3bODY449jTU7BEhxM1Jtv4Netm0P2bTGbdIuuOJWCiIg4RrkBZJj9NtzGXVxbWzU5eOogz6x6hp2pOwG4pvk1PNvjWQK9nLNWVnF6OidfmUXmV18BYG3Wgpi/v4tP9PmX0hBxNwoiInJpFECwGTY+3f0pr258lQJrAYFegUzsOZFhMcOccjzDZiPjq684Nv0VLNmZACxs2p33219H/Xl7mDTcojEcUmMoiIhI1aQesK+GW4cDCNinaZ/460TWJKwBoHej3rzQ+wUa+jd0yvHy9+whcfIU8jZvxgIcDIzkrctuZFdoM/vzWgtGahgFERGpnNQD9h6Q3z+v0wEEYOGhhby49kUyCzPxtnjzRLcnuLXNrefMDWK1GZc84NOanUPKm2+SNm8eWK3ke3jzcds/8W3zPtjMltJ2WgtGahoFERGpGAWQUhkFGbz828v8eOhHANqHtuflfi/TPKj5OW0Xbk845xbYyErcAmsYBlk//8zJl6dRnJQEQGHfQdzv34cU3/rlvwatBSM1h4KIiFxYeQGk1Z/sd8E07ura2lxgbcJanlv1HCdzT2I2mbm/w/08cNkDeJo9z2m7cHsCo+dtOmd20sQKXj4pPHKExBdfImfVKgA8mzQhYuJzLA5oTspnWy5aq9aCkZpAQUREyqcAUkaBtYDXN73Ov3f+G4AmAU14ud/LXNbgsnLbW20GU77bWe4U6Re7fGIrKCD1/b+T+ve/YxQWYvLyIvT//o/Q++/D7O1N+IHUCtWstWCkJlAQEZGyUg/AilmnA4jVvq0OBxCAXam7eGblMxzIOADAqNajeLLbkxdcrG7dobQyl2POdr7LJ9mrfiXxxRcoOnIUsE/RHjHxObyaNStto7VgpDZREBEROwWQc1htVj7a8RFvb3mbYlsxoT6hvNDnBfpH9b/oayt6WaSkXdHJk5ycNp2shfbp2T3Cw2n47DME/OlP5wx+1VowUpsoiIjUdQog5YrPiudvq/7G5qTNAAyOHsyk3pMI8alYL0NFL4uE+3mQ+s9/kvLGm9hyc8FiIeTOOwl75GEs9eqd93VaC0ZqCwURkbpKAaRchmGwYP8Cpq+bTm5xLv6e/jzd/WlGtBhxTs/EhVTk8kmfghOEj3+ApD17APDt1ImIyZPwadu2QsfQWjBSGyiIiNQ1qQdg5WzY+pkCyFlS81KZsmYKS+OXAtAlvAtT+04lKqDyU6Zf6PJJYGEOf93xA386so5CwBIURPj4Jwm64QZMZnOlj6NbdKUmUxARqSvSDtp7QBRAyrUsfhmTVk8iLT8ND7MHj3R+hLtj78ZyxmRhlXX25ROTYePKoxu4b+cPBBTkABB04w2EP/kkHsHBDnonIjWLgohIbVduD8hQGPA0RCmAJGQnMGP9DBYfXQxAI78YXh00k9iwil0euZiSyycblqzD841X8N27AwDv1q2JmDwJvy51azI4kbMpiIjUVgogF1RoLeSfO/7Ju1vep8gowDDMFKX1Zc/uK7l3/3EmDQ+65AGfhmGQt3kL6fPmEfjzz2C1YvbzI+yRRwi58w5MnudOgiZS1yiIiNQ25V6CUQA508pjK5m+bjpHs+xzdRTnNqMgcSS2ggig4jOfno+tsJDMH38k/d/zyN+xo3R7wNChNHz2GTwjIhzzRkRqAQURkdoi7SCsmA1bP1UAOY/j2ceZsW5G6WBUkzWQ3MSrKM7sxB8zcFR94biik0mc+vwz0j//L9ZU++ynJm9vAodfS8idd1b4bhiRukRBRKSmUwC5qAJrAR9t/4gPtn1AgbUAi8nC4Mgb+WppLNjKn++jogvHGYZB/tatpP17Hpk//wzFxQB4REQQfPvt1B91kwaiilyAgohITaUAUiErjq1g+rrpxGfFA3B5xOU82/1Zdhzx5Svblou+/nwzpNoKC8lauJC0f88jf9u20u2+3boScuddBFwxBJOH/ooVuRj9XyJS05QXQFpeCQOfhqhurq3NjcRnxTNz3UyWHVsGQLhvOE9e/iTDmg3DZDKRnFa1heOKkpI49fl/Sf/8c6wpKQCYvLwIvPZaQu68A5/YWIe+D5HaTkFEpKa4xABitRl1YgbO/OJ8/rH9H3y47UMKbYV4mDy4K/YuHrjsAfw9/UvbVXbhuLzff7dfflm4EIqKAPBo2JDg226j/s2j8AjRAnMiVaEgIuLuHNADsnB7wjlrkkTWwjVJlsUvY/q66RzPPg5Aj8gePNv9WZrXb35O2wotHDesFdk//EDavH+Tv/X30ud9u3Qh5K47CbjiCt2CK3KJTIZhlPePAbeQmZlJUFAQGRkZBAYGurockeqVdghWzoItl3YJZuH2BEbP23TOv/pLvmyreouqOzmaeZQZ62ew4tgKAML9wnnq8qcY2nToRdeHKS+ktfEqZLJpL6FLvseafPryi6cngddcQ/Cdd+Ib1955b0akFqjM97d6RETcTbkB5Ar7INToyyu1K6vNYMp3O8u99FDVW1TdSV5xHh9s+4CPtn9Eka0ID7MHf479Mw90fAA/T78K7ePMheMytmwhcvF3eK1YDMXFWAGPBg0Ivv026t98Mx6hWtNFxNEURETchQMDSIl1h9LK/Ev/bBW9RdXVzh7fcnmzYJYfX8rMdTM5kXMCgF6RvXimxzPEBMVUeL+GzUb+jh1kr1xJxJKl1N++vfQ5306dCL7rTgKvvBKTl5fD35OI2CmIiLiaEwJIifPdelrVdq5w9qUTk2cKQVHfY/XZDUCEfwRPXf4UVzS54qKXYQCKU1LI+fVXsleuIufXX7Gmp//xpKcnQVdfZb/80qGDU96PiJSlICLiKuUFkBZD7GNAors75BBn33p6qe2qW5nxLaZCvMKW4hWyAqvZimGzMKTRzUwbPPaCl2GMoiLytm61B4+VK8nfubPM8+Z69fDv1Qv/fn0JGDwYj7Aw574pESlDQUSkuqUdOr0Y3adgs8/C6egAUqKyt6i6k9LxLaYiPOuvwyt0GWbPLACKs1tTkHgd6xKj8L7S95zXFp04QfaqVeSsXEXOmjXYsrPLPO8TG4t/v37U69cX38su050vIi6kICJSXaoxgJSo0C2qw2PdcqDqrwcSSDEvxr/FHwHEVlifgpPDKc6OBUyl41t6RNUjd8MGclauInvVSgr3HyizL0v9+vj37Uu9fn3x79NHvR4ibkS374o4W/rh06vhVl8AOVtNmkekwFrAl3u/5O1N75NVnAaArSiIwpTBFGV0BcMDDINGOSl0O7mHuzxOELDrd4z8M8a5mM34XnYZ/v36Uq9fP3xiYzFZLC56RyJ1j27fFXEHbhBASpx5i6q7zqxaEkD+se0fJOUlAWUDiH9BEV1S99A1aQ/dTu4hMvePKdoNwCM8vDR4+PfqhSUoyEXvREQqQ0FExNGqGECcPQW7xWxyy1t0zw4gfvkGvXJCGOXRkx1LM2mQspUmWT8Tlp9Z5nVFJgv7Grag/x3DCejfH+/WrSp014yIuBcFERFHST9sHwOy5ZNK94DUpEsnjpJ3KoWfl37IhrVfU/9EJvcnQ9M0M/UzrUAy8B1RZ70mwS+UDQ3bsDG8Db83aMmr9/SiQS09PyJ1hcaIiFyqcgPIYPs8IE16XPTltX0KdmtWFgX791Owfz+F+/eTt28fGXu245Wadd7XeDRsiHfLlni3bME+3wa8e8RgkzmYXE/7HTK1PaSJ1HQaIyJSHS4xgEDtmYLdVliINS2NooQECg8coGDf/tLwUXzy5DntS+YpPRVowdK8GVEdeuHburU9fLRogeWMv7gaAr3qyMrBInWRgohUq1qxFL0DAkgJd52C3bDZsGZkYE1LozglFWtaKsWpaef+TE2lOC0NW9b5ezcACkMCOBBcyMGQQo6FmciNDmXogHu5rtNteFkuPn26u45vEZFLpyAi1abGj4NIP3J6JtRLDyAlqmMKdsNqxZaXj5Gfhy0vD2t6OsWpqfYQUU64KE5LxZqWDlZr5Q7k4YFHWBjezWPwatkSS/NmrPaO5++ZCzmCfQXbCP/G3N/hfka2HFmhACIitZ+CiFSL842DSMzIZ/S8Te49DiL9yOkekP9ccgAxDAOsVozCQoyiIhoW5RCem4aHzYqnrRgPmxVva9HpR6H9Z3EhUUuPkbLejJGXjy2/JFTkY8vP+2NbXh62/HO3GUVFVX7r5qAgPEJCsISG4BESes5Pj7BQLCGheISGYA4MxGQyUWAtYP7e+Xy47UOSMu234Tb0a8j/dfw/BRAROYcGq4rTWW0GfWcsOe8liJJpxldNGFztl2mM4mJseXnYcnNLH0bJn5OPYtu6ANvB37AVGdiKTdj8m2CEdcTwqo9RZA8TtsJCOP3TKCzCKCoqDRpGYeE5f8ZV/8uZTJh8fbHUD7KHiNBQLKH2EFESJsr8DK5fqVVn84vz+WrfV/YAkvdHALm/w/1c3+p6BRCROkSDVcWtOHMchFFURHFKCsVJSRQnJ1OUlIQ1JbVMsLAHjZw/QkZObmn4MAoKKnCUgDP+nA4sr1SNF30Pnp7kGWaKzB4UmS0UWjwpsHhRYPGkwOJJqyYNaNiwPmYfX8y+Pph8fDH7+GDy9Sm7zdcHk48PZt/Tz5+1zeTt7ZR5Ng6eOsjne/7Lgv3fkltsHyuiACIiFaUgIk5XlXEQpQEjOZnipCSKTgeN4qQkipOSS/9sTUtzTJEWC2ZfH8yWYsxGDmaLDbOHgSkwBHNULOawaMy+fpj9/Oxf7l5emDw9z/rphcnL0/6zZFvp855nPO+J+fRzeHhgMpkuOH6mqxtesiq0FrLoyCK+2PsFG09uLN1uK6xPYepAso2+BLXrqBAiIhdVJ4NIXnEeTy5/kmHNhnFF0yvw9Th39U5xnDJLzBsGwQVZNMg7RWheJiEFmYTkZRKan0nMsS85mH3KHjDS0yt+CcPTE4+wMDzCG+AZHo4lNBRLvXqY/EqCw+mf/qd/+vnZew38/OxtClMwrX0D09YzBqE2H2SfiKxJT8efkHLUhCnYAQ5nHObLvV/yzYFvOFVwCgDDMFGc3Y6i9B5Yc1oBZk5S7P5jf0TELdTJMSLfHfiOZ1c9C4C/pz9/avYnRrYcSacGner8FNGOvL3WKC6m8NAhcnfu4qN//UJE0lGaZ5wgqDCnYjs4K2B4NGiAx5k/T//ZUr8+JrO58gWWNwi1mgNITVBkLWLx0cV8sfcL1iWuK93e0K8h6YmdSTvZGaP43HVdXDn2R0RcqzLf33UyiCTmJLJg/wK+2f8Nx7KPlW5vFtiMES1HcG3za4nwj3DY8WqKS7m91pqdQ8HePeTv2kXB7t3k79pNwd699sGZZ7c1mUn1CSTtjEefnm2JjWteJmhUNmBUOEQpgFRIfGY8X+z7gm/2f0Navv0SmAkT/aL6Mar1KDwK2nHnBxsuup9P7++pOUBE6hgFkQqyGTY2ntzIN/u/4Zcjv5BXnAeA2WSmV2QvRrYcyaAmg/C2eDv82O6motOMG4ZBcVJSmcCRv3sXRUeOlrtfs78/3m3b4tO2LfsDI3kr3sxGUzBFFk/AcfOIVChEXWIAqRWTsV1Eka2IZfHL+GLPF6xJWFO6Pdw3nOtbXc+NrW4ksp79fH6z5TiPfbblovt8/dZOjOjU2EkVi4g7UhCpgtyiXH458gsL9i8oM/guwCuAq2OuZmTLkbQPbV8rL92c7/Zas81KVHYyLTJO0CH/JDcG5lKwe7d9/EY5PCIi8GnbFu92bfFp2w6fdm3xjIoq06vhjC/zi4Wof14fzoCT/76kHpAaPxnbRRzPPs78vfP5ev/XpOTZJx8zYaJ3496Maj2KAVED8DCXHVK25kAqt/197UX3rR4RkbpHQeQSxWfGs+DAAr498C2JOYml21vWb8nIliO5pvk1hPmGVVs9zlbyheJhK6ZjygF6JOykTfpRmmUm4F3yxX0miwXv5s3LBA7vtm3xCA6u9tovNEdJY5J52GMBozxW4MHpWUKbD7RPRNa0V4WPUVsXpSu2FbP82HK+2PsFq4+vxjj9DkN9Qkt7P6ICzl7/9g8l5z4xI7/ctXI0RkSk7lIQcRCrzcq6xHUs2L+AxUcXU2C1zzlhMVno17gfI1uOpH9UfzxPX2aoiaxZWSz/9zfsmf8Dl5/cjX9x2S/0XA9vDgVGciCoEd2v7EnPK3vh3boVZm/3uFxV3r/KG5PMGI9vGGVZjqfJHkBORfSh/lUTKxVAwL0nY6uqxJxE5u+bz1f7viIpN6l0e8/InoxqPYpBTQbhaa7YZ7okpAFlwkhND2kicmk0oZmDWMwWejXqRa9GvcgszOTnwz+zYP8Cfk/+nWXHlrHs2DKCvYO5pvk1jGw5kjYhbVxdcoUUJSSQtWQJ2YuXkLN+PZFFRZR8VaR5B/BbRCybwltzIKgxif4hGCb7pZX+I3ri62Zd7GfOPVJeAFllbc9rxTdyV89bGdG08uMU3HVRuspKz09nxbEV/HLkF1YdX4XNsAEQ4hPCiJYjuKnVTTQJbFLp/Q6Li2TunV3OuWwVUYsuW4mIc1VLEHnnnXd45ZVXSEhIoH379rz22mv069evOg7tMIFegYxqPYpRrUdx8NRBFhxYwPcHvic5L5l5u+Yxb9c82oW0Y0TLEVwdczXBPtV/meJ8DMOgYM8eshYvJnvxEvJ37izzvFfz5izwa8GikLbsCY4uDR4lSv7V3z0mpBqrrpjwAJ/SAHKTZTlepwPISmscrxffwAajLQBPnDmXSSVUx6J0znI44zBL45eyLH4ZW5K3lIYPgO4R3RnVehSDmwy+5EnHasocKCLinpweRD7//HPGjh3LO++8Q58+fXjvvfe46qqr2LlzJ02aVP5fYO6gef3mjOs6jkc7P8rqE6tZsH8By+KXsSttF7vW7WLWhlkMih7EoOhB9G7Um1Df6v+XslFURO7GjWQtXkL2kiUUHT/+x5MmE76dOxMwZDD1Bg/GOyaG9tsTeOt0F/uZSr5KJg2Pdb8vllNH6bFjNst85uGJfSzL2QHkUkNUeAUDTEXbOZPVZmVr8laWxS9jafxSDmceLvN8u5B2DIgewNUxVxMTFOPQY1vMJrfuERIR9+X0MSI9evSgS5cuzJ07t3Rbu3btGDlyJNOmTbvga109RqQyTuWf4sdDP7Jg/wJ2pe0q81xsaCx9GvWhT+M+dGzQscLX3yvLmp1DzqpVZC1ZTPbyFdgyMkqfM3l749+njz18DByIR+i5Xxo15s6QU0dh5RzYPA9s9pVlV50OIOtPBxBwzDgFdx+QmVuUy+oTq1kav5SVx1aSXvDHHU0eZg+6R3RnYPRABkYNLL3tVkTE2dxmsGphYSF+fn588cUXXH/99aXbH3vsMbZs2cLy5WUXDysoKKDgjEXIMjMziY6OrhFBpITVZvDV9vUsO/4Lh3I2EZ+zr8zz9Tzr0TOyJ70b96Zvo76X/OVQlJRE9pKlZC1ZTO6atWWWfLcEB1Nv0CAChgzGv3dvzL4Xn8rerefKKCeAEDMABj7NwqwYp4UodxuQeTLnJMuPLWdZ/DJ+S/iNQtsfk8YFegXSP6o/A6MH0qdRH+p51au2ukRESrjNYNWUlBSsVisNGzYss71hw4YkJiae037atGlMmTLFmSU5Vdkehc5AZxoGFzK8ZxZZph2sPrGaUwWn+N/R//G/o/8DoHlQc/o07kPfRn3p0rALPh4X7+IvPHaczB9+IGvxYvJ//73Mc55NmxAweAgBVwzBt1MnTBZLpd6DW3axXyCA0LQ3AMPAaeMUXD0g0zAM9qbvLR3vsSN1R5nno+pFMaiJ/VJgp/BOTutxExFxBqf2iJw4cYLGjRuzevVqevX647bJqVOn8u9//5vdu3eXaV+Te0QqMtfElbHh7Erbxarjq1h9YjVbk7eWGUDobfGmW0Q3+jbqS5/GfWgW2KzMBGr5u3aR+sGHZC5cCFZr6Xafyzraw8eQwXi1aFF7Jl2rQACpTtXZW1RkLWL9yfUsi1/GsvhlJOQklD5nwkTHBh0ZGD2QQdGDaB7UvPb8NxeRWsFtekTCwsKwWCzn9H4kJSWd00sC4O3tjbebzE9RGVabwZTvdpY7hsDAHkamfLeTK2MjiAuLIy4sjgcve5CMggx+S/iNX0/8yqrjq0jKTeLX47/y6/FfYT008m9En0a9GZTcgKhv1pO/+o/5Mvx69iTwqquoN2ggnuHh1fROq8mpePtU7G4SQEo4s7fIZtg4nHGYbSnbWHV8FauOryK7KLv0eR+LDz0b9WRQ9CD6R/WvVRPqiUjd5tQg4uXlRdeuXVm0aFGZMSKLFi1ixIgRzjx0tarqXBNB3kEMbTaUoc2GYhgGB04dKA0lmxI20GTDMTqv/YywRMgHbCZI7d2GBvfdT3TPqzCbqrDirDs7FQ+r5sCmf7tVAHE0wzBIyElge8p2tqduZ3vKdnam7iSnqOyqxKE+ofaBptED6RHZA1+Pi4/xERGpaZx+++64ceO466676NatG7169eL999/n6NGjPPjgg84+dLVxxFwTJpOJlsEtae4XzXXbfEj5zxGKj8YDUORhYnFH+L67maTgA7D3afwOTKNpQEu6RbanbWgb2gS3oXlQ85o5y2u5AaS/fSr2Zn1cW5sDpOalsiN1hz14pGxnR+qO0tVsz+Rj8aFdaDu6NuzKwOiBdAjrUPvCpojIWZweRG655RZSU1N54YUXSEhIIC4ujh9//JGmTZs6+9DVxhFzTVgzM0n/9DPS/v1vrCn2RcfMQUGE3HE7wXfeSbBHDukbfuTbfUsp9tpHLhnsOrWRXaf+WKDPw+RBTP0Y2gTbg0nrkNa0Dm7tvt34tTCAZBdmszN1Z2lPx46UHZzIOXFOOw+TB62CW9E+rD0dwjrQPrQ9Leq3OGdhORGR2k5rzTjApcw1UXTyJGn//JhTn3+OLTcXAI/ISEL/cg/1b7wRs78/cNZgWFMxZu9ELN4JmH0SsHgnUC8wmTxrNuUJ9QmlTYg9nLQKbkWbkDbEBMW47u6KWhJACqwF7EnbU9rTsT11O4czDpcuHnemmKAY4kLjaB/WnriwONoEt6nQHVIiIjWR2wxWrSssZhOThscyet4mTJQ/18TZM5MWHDhA6of/IOO77+D03B/erVoRet+9BF59NSbPP0LCOYNhDQ9s+VHY8qMgw36MwCBvfno4lv2n9rInbQ970vewL30fRzKPkJqfyuoTq1l9YnXpPj3NnrSo34LWwfZek5Kg4tSp6TOO2e+C2fSvGhNArDYrqfmpnMw5ycnckyTmJHIw4yDbU7azL30fxca5qxNH+kcSFxZH+1B76IgNjSXAK8AF1YuIuD8FEQep6FwTuZs2k/rBB2QvWVLaxq9bN0Lvvw///v3LvQ2zIoNhEzMKiE/yZmAL++DGErlFuew/tZ896XvYm7aXven2R3ZRNrvTdrM7rewt1A18G9A6pDVNA5oS4hNCiG8IId6nf/rYH/U861XudlE3DSDFtmJS8lJIzEnkZO7J0rBREjhO5p4kOTcZq2E97z6CvYNL74QqCR1ueylMRMQNKYg40PkW/zJjkLV0KakffEjextNjOkwmAq4YQui99+LbqdMF93spg2H9PP3o2KAjHRt0LN1mGAbHs4+zN31vaUDZk76H+Kx4kvOSST6ezK/8et7jeJo9CfYJJtQntDSchPiEEOwTTIhPCKG+p7cXFRC84V/4bv7PHwGkWT/7XTDN+lboPVVVka2I5NzkMgHjzMCRmJtISl5KmXlczsdsMtPAtwEN/RsS4RdB44DGpb0djfwbaQ4PEZFLoCDiYGfONWEUFpLxzTek/eNDCvbtB8Dk6UngiOsI/eu9eDev2MJjjl54zWQyERUQRVRAFIObDC7dnluUW9pjkpCTQFp+Gml5afafpx+5xbkU2YpIyk0iKTepQsfzjW5IiMmL0MAoQoKaUf/4z1hO/A+rYcVm2Ow/bbbS34uN4jLbS/5c8jizbek2w4bVZv9ZYC0gLT+t3LEaZ/MweRDuF05D/4Y09Dv98G9IhH9E6e+hvqEaRCoi4iT629UJbPn5pH/2GWn//Jji05O5mevVI/jWWwi+6894NqzcBGTdY0KIDPK56GDYqq4wW8LP049O4Z3oFN7pvG3yivNIz08vE05KAkt61jFSE7eQlp1ImsVEmsVCkclEntnMcYo5nnUYsg5fUo2V4WH2KBsu/CLK/Gzo15AQnxAs5spNgy8iIo6jIOJguevXc+K55yg6chQAS4MwQv78Z4JvvRVLQNUGLFZlMKyz+Hr44lvPl0b1Gv2xsXQMyLwyl2CMARPIady5NKyk5qeSnp9Oen46NsOGxWzBbDJjMf3x02KyYDZfeJuHyeOP15nPaHN6m6fFkzDfMEJ8QjQPh4iIm9Ptuw5izc4hec5s0j/5FACP8HDCHnmYoBEjMHt5OeQYZRfVs3PUCrNVUt4g1GoaAyIiIu5Lt+9Ws+yVK0l4fhLFCfaFyeqPuonw8eOxODg8nW8wbHX0hJSRcQxWvWoPINbTS9A36wcDJkBMv+qtRUREajQFkUtgPXWKk9NnkLFgAQCeUVFEvvgC/mesNOxozlx47aIUQERExMEURKoo85dfSHzhRft07CYTwXfdSfjYsZj9/FxdmuMpgIiIiJMoiFRScUoKiS++RNbPPwPg1bw5kS+9hF+Xzi6uzAkUQERExMkURCrIMAwyv/2Wky9Pw5qRARYLoffdR9hDozF7e7u6PMdSABERkWqiIFIBRQkJJEyaRM6KlQB4t2tHo6kv4RMb6+LKHKy8ANK0r/0uGAUQERFxAgWRCzBsNk79978kvTILW04OJk9PwsaMIfTev5ZZlK7GUwAREREXURA5j8IjR0h4biK569cD4NupE5FTX8K7RQsXV+ZAGcdh1ZyzAkgfGPiMAoiIiFQLBZGzGFYraR//i+Q33sDIz8fk60v442MJvuMOTJZaMhV4xvHTPSAfK4CIiIhLKYicoWDfPk787Tnyf/8dAL+ePYl88QW8oqNdXJmDKICIiIibqZNBxGozysxOennjeqR/+AEp774HRUWY69UjfMJT1L/pptqxxLsCiIiIuKk6F0TOXq+lVXo843//kuj04wDUGziQiMmT8IyIcGWZjnHeAPK0/Xbc2hCyRESkRqtTQWTh9gRGz9uEAXhZi7hz98/csG85FgwyvPwofOhx2j5wR83vBSkvgDTpDYOeUQARERG3UmeCiNVmMOW7nRhA27TDPLHpc6KykwFY3rgT73YcgW96A1YZYKmp39OZJ+wBZOM/FUBERKRGqDNBZN2htNLLMf5F+URlJ5PqE8hbl93A2sg4AE5l5LPuUJrrFpWrKgUQERGpoepMEEnKyi/988aGbXm18838GtmBHC/f87ZzewogIiJSw9WZIBIe4FPm91+adq9QO7d0vgAy8GmI6a8AIiIiNUadCSLdY0KIDPIhMSMfo5znTUBEkA/dY0Kqu7SKKzeA9Dp9G64CiIiI1Dx1JohYzCYmDY9l9LxNmKBMGCn5+p40PBaL2Q2/zDNPwKrXTgeQAvs2BRAREakF6kwQARgWF8ncO7uUmUcE7D0hk4bHMiwu0oXVlUMBREREark6FUTAHkaujI0oM7Nq95gQ9+oJOW8AeRpiBiiAiIhIrVHnggjYL9O45S26CiAiIlLH1Mkg4nYyE84YhKoAIiIidYeCiCtlJsCvr8GGjxRARESkTlIQcQUFEBEREUBBpHopgIiIiJShIFIdFEBERETKpSDiTAogIiIiF6Qg4gxZiadvw/0Iik9PnBbd0x5Amg9UABERETlNQcSRzhdABj2jHhAREZFyKIg4ggKIiIhIlSiIXApdghEREbkkCiJVoQAiIiLiEAoilVFuAOlhXw1XAURERKTSFEQqIisRfn0dNvxDAURERMSBFEQuRAFERETEqRREynPeAPI0NB+kACIiIuIgCiJnKi+ARHW334arACIiIuJwCiJQ/iBUBRARERGnq9tBJOvk6R6QDxVAREREXKBuBhEFEBEREbdQN4PIvp9h7dv2P0d1tw9CbTFYAURERKSa1c0gctltsH8xdPmzAoiIiIgL1c0gYvGEmz92dRUiIiJ1ntnVBYiIiEjdpSAiIiIiLqMgIiIiIi6jICIiIiIuoyAiIiIiLuO0IHL48GHuvfdeYmJi8PX1pUWLFkyaNInCwkJnHVJERERqGKfdvrt7925sNhvvvfceLVu2ZPv27dx///3k5OQwa9YsZx1WREREahCTYRhGdR3slVdeYe7cuRw8eLBC7TMzMwkKCiIjI4PAwEAnVyciIiKOUJnv72qd0CwjI4OQkJDzPl9QUEBBQUHp75mZmdVRloiIiLhItQ1WPXDgAG+++SYPPvjgedtMmzaNoKCg0kd0dHR1lSciIiIuUOkgMnnyZEwm0wUfGzZsKPOaEydOMGzYMEaNGsV999133n0/88wzZGRklD7i4+Mr/45ERESkxqj0GJGUlBRSUlIu2KZZs2b4+PgA9hAyaNAgevTowT//+U/M5opnH40RERERqXmcOkYkLCyMsLCwCrU9fvw4gwYNomvXrnz00UeVCiEiIiJS+zltsOqJEycYOHAgTZo0YdasWSQnJ5c+FxERUaF9lHTWaNCqiIhIzVHyvV2Riy5OCyK//PIL+/fvZ//+/URFRZV5rqJXg7KysgA0aFVERKQGysrKIigo6IJtqnUekcqy2WycOHGCgIAATCaTQ/edmZlJdHQ08fHxGn9yETpXFadzVXE6VxWnc1U5Ol8V56xzZRgGWVlZNGrU6KLDMqp1HpHKMpvN5/SmOFpgYKA+qBWkc1VxOlcVp3NVcTpXlaPzVXHOOFcX6wkpodGjIiIi4jIKIiIiIuIydTaIeHt7M2nSJLy9vV1ditvTuao4nauK07mqOJ2rytH5qjh3OFduPVhVREREarc62yMiIiIirqcgIiIiIi6jICIiIiIuoyAiIiIiLlNngsjUqVPp3bs3fn5+1K9fv0KvMQyDyZMn06hRI3x9fRk4cCA7duxwbqFuIj09nbvuuougoCCCgoK46667OHXq1AVfc88992Aymco8evbsWT0FV6N33nmHmJgYfHx86Nq1KytXrrxg++XLl9O1a1d8fHxo3rw57777bjVV6nqVOVfLli075/NjMpnYvXt3NVbsGitWrGD48OE0atQIk8nEggULLvqauvq5quy5qsufq2nTpnH55ZcTEBBAeHg4I0eOZM+ePRd9XXV/tupMECksLGTUqFGMHj26wq+ZOXMmc+bM4a233mL9+vVERERw5ZVXlq6BU5vdfvvtbNmyhYULF7Jw4UK2bNnCXXfdddHXDRs2jISEhNLHjz/+WA3VVp/PP/+csWPH8re//Y3NmzfTr18/rrrqKo4ePVpu+0OHDnH11VfTr18/Nm/ezLPPPsujjz7K/Pnzq7ny6lfZc1Viz549ZT5DrVq1qqaKXScnJ4fLLruMt956q0Lt6/LnqrLnqkRd/FwtX76cMWPGsHbtWhYtWkRxcTFDhw4lJyfnvK9xyWfLqGM++ugjIygo6KLtbDabERERYUyfPr10W35+vhEUFGS8++67TqzQ9Xbu3GkAxtq1a0u3rVmzxgCM3bt3n/d1d999tzFixIhqqNB1unfvbjz44INltrVt29Z4+umny23/1FNPGW3bti2z7YEHHjB69uzptBrdRWXP1dKlSw3ASE9Pr4bq3BdgfP311xdsU5c/V2eqyLnS5+oPSUlJBmAsX778vG1c8dmqMz0ilXXo0CESExMZOnRo6TZvb28GDBjA6tWrXViZ861Zs4agoCB69OhRuq1nz54EBQVd9L0vW7aM8PBwWrduzf33309SUpKzy602hYWFbNy4scxnAmDo0KHnPS9r1qw5p/2f/vQnNmzYQFFRkdNqdbWqnKsSnTt3JjIykiFDhrB06VJnlllj1dXP1aXQ5woyMjIACAkJOW8bV3y2FETOIzExEYCGDRuW2d6wYcPS52qrxMREwsPDz9keHh5+wfd+1VVX8Z///IclS5Ywe/Zs1q9fz+DBgykoKHBmudUmJSUFq9Vaqc9EYmJiue2Li4tJSUlxWq2uVpVzFRkZyfvvv8/8+fP56quvaNOmDUOGDGHFihXVUXKNUlc/V1Whz5WdYRiMGzeOvn37EhcXd952rvhsufXquxczefJkpkyZcsE269evp1u3blU+hslkKvO7YRjnbKspKnq+4Nz3DRd/77fcckvpn+Pi4ujWrRtNmzblhx9+4IYbbqhi1e6nsp+J8tqXt702qsy5atOmDW3atCn9vVevXsTHxzNr1iz69+/v1Dprorr8uaoMfa7sHn74YX7//XdWrVp10bbV/dmq0UHk4Ycf5tZbb71gm2bNmlVp3xEREYA9HUZGRpZuT0pKOict1hQVPV+///47J0+ePOe55OTkSr33yMhImjZtyr59+ypdqzsKCwvDYrGc8y/6C30mIiIiym3v4eFBaGio02p1taqcq/L07NmTefPmObq8Gq+ufq4cpa59rh555BG+/fZbVqxYQVRU1AXbuuKzVaODSFhYGGFhYU7Zd0xMDBERESxatIjOnTsD9uvey5cvZ8aMGU45prNV9Hz16tWLjIwM1q1bR/fu3QH47bffyMjIoHfv3hU+XmpqKvHx8WWCXE3m5eVF165dWbRoEddff33p9kWLFjFixIhyX9OrVy++++67Mtt++eUXunXrhqenp1PrdaWqnKvybN68udZ8fhyprn6uHKWufK4Mw+CRRx7h66+/ZtmyZcTExFz0NS75bDltGKybOXLkiLF582ZjypQpRr169YzNmzcbmzdvNrKyskrbtGnTxvjqq69Kf58+fboRFBRkfPXVV8a2bduM2267zYiMjDQyMzNd8Raq1bBhw4yOHTsaa9asMdasWWN06NDBuPbaa8u0OfN8ZWVlGU888YSxevVq49ChQ8bSpUuNXr16GY0bN65V5+uzzz4zPD09jQ8//NDYuXOnMXbsWMPf3984fPiwYRiG8fTTTxt33XVXafuDBw8afn5+xuOPP27s3LnT+PDDDw1PT0/jyy+/dNVbqDaVPVevvvqq8fXXXxt79+41tm/fbjz99NMGYMyfP99Vb6HaZGVllf6dBBhz5swxNm/ebBw5csQwDH2uzlTZc1WXP1ejR482goKCjGXLlhkJCQmlj9zc3NI27vDZqjNB5O677zaAcx5Lly4tbQMYH330UenvNpvNmDRpkhEREWF4e3sb/fv3N7Zt21b9xbtAamqqcccddxgBAQFGQECAcccdd5xz+9uZ5ys3N9cYOnSo0aBBA8PT09No0qSJcffddxtHjx6t/uKd7O233zaaNm1qeHl5GV26dClzK9zdd99tDBgwoEz7ZcuWGZ07dza8vLyMZs2aGXPnzq3mil2nMudqxowZRosWLQwfHx8jODjY6Nu3r/HDDz+4oOrqV3KL6dmPu+++2zAMfa7OVNlzVZc/V+Wdp7O/59zhs2U6XayIiIhItdPtuyIiIuIyCiIiIiLiMgoiIiIi4jIKIiIiIuIyCiIiIiLiMgoiIiIi4jIKIiIiIuIyCiIiIiLiMgoiIiIi4jIKIiIiIuIyCiIiIiLiMgoiIiIi4jL/D4H7Q8KpNvH3AAAAAElFTkSuQmCC",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(xvals,yvals,'o',xvals,p1(xvals),'-',xvals,p2(xvals),'-',xvals,p3(xvals),'-'); "
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# scipy.optimize.curve_fit\n",
"\n",
"Optimize fit to an arbitrary function. Returns optimal values (for least squares) of parameters along with covariance estimate. \n",
"\n",
"Provide python function that takes *x* value and any parameters."
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"array([0.24845812, 3.44033153])"
]
},
"execution_count": 56,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"from scipy.optimize import curve_fit\n",
"\n",
"def tanh(x,a,b):\n",
" return b*np.tanh(a+x)\n",
"\n",
"popt,pconv = curve_fit(tanh, xvals, yvals)\n",
"popt"
]
},
{
"cell_type": "code",
"execution_count": 57,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(xvals,yvals,'o',xvals,popt[1]*np.tanh(popt[0]+xvals)); plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# Let's Analyze Data!\n"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [],
"source": [
"!wget https://MSCBIO2025.github.io/files/kd\n",
"!wget https://MSCBIO2025.github.io/files/aff.min\n",
"!wget https://MSCBIO2025.github.io/files/aff.score"
]
},
{
"cell_type": "code",
"execution_count": 58,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"set1_1 3.34 \n",
"set1_100 6.3 \n",
"set1_102 8.62 \n",
"set1_103 6.44 \n",
"set1_104 -0.15 \n",
"set1_105 8.48 \n",
"set1_106 7.01 \n",
"set1_107 4.61 \n",
"set1_108 7.55 \n",
"set1_109 7.96 \n"
]
}
],
"source": [
"!head kd"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"`kd` contains experimental values while `aff.min` and `aff.score` contain computational predictions of the experimental values. Each line has a name and value.\n",
"\n",
"How good are the predictions?"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"## How do we want to load and store the data?\n",
"\n",
"The rows of the provided files are **not** in the same order.\n",
"\n",
"We only care about points that are in **all three files**.\n",
"\n",
"**Hint:** use dictionary to associate names with values."
]
},
{
"cell_type": "code",
"execution_count": 59,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "subslide"
},
"tags": []
},
"outputs": [],
"source": [
"import numpy as np\n",
"\n",
"def makedict(fname):\n",
" f = open(fname)\n",
" retdict = {}\n",
" for line in f:\n",
" (name,value) = line.split()\n",
" retdict[name] = float(value)\n",
" return retdict\n",
"\n",
"kdvalues = makedict('kd')\n",
"scorevalues = makedict('aff.score')\n",
"minvalues = makedict('aff.min')\n",
"\n",
"names = []\n",
"kdlist = []\n",
"scorelist = []\n",
"minlist = []\n",
"for name in sorted(kdvalues.keys()):\n",
" if name in scorevalues and name in minvalues:\n",
" names.append(name)\n",
" kdlist.append(kdvalues[name])\n",
" scorelist.append(scorevalues[name])\n",
" minlist.append(minvalues[name])\n",
" \n",
"kds = np.array(kdlist)\n",
"scores = np.array(scorelist)\n",
"mins = np.array(minlist)"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# How do we want to visualize the data?\n",
"\n",
"Plot experiment value vs. predicted values (two series, scatterplot)."
]
},
{
"cell_type": "code",
"execution_count": 60,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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tb+ELX/gCn/zkJ/nN3/xN1q5dy1e+8hVuuummi7VkxYuEvlycVR0pnh8rk7KNBS5LKSXj5Rab+rL05eIXcZWKyxZNOy9lAorjuagid8stt5z0SuCee+7hnnvuuUArUigiNE1wx1VdjJWb7J6KYnNxS6fpBoyXW+STFq/d2IWmiZO/mEKhuGhcsjE5heJiM9SZ5u4bl3NVb5ZSw2P/TJ1Sw2NTX5a7b1zOUGf6Yi9RoVCcBBVQUChOwFBnmpW3pBgtNam7PknLoC8XVxacQnGZoEROoTgJmibozycu9jIUlwiXQ7LF5cj5+lyVu1KhUChOgSMdP5ZqYKw4O458rsd2VjlblCWnUCgUp4Cu6+Ryufl+jYlE4rhGAYrTR0pJo9FgamqKXC6Hruvn9PWVyCkUCsUpcmSQ6OXQmPhyI5fLnZdBrUrkFAqF4hQRQtDT00NnZyee513s5VwxmKZ5zi24IyiRUygUitNE1/XzdlJWnFtU4olCoVAorliUyCkUCoXiikWJnEKhUCiuWJTIKRQKheKKRYmcQqFQKK5YlMgpFAqF4opFiZxCoVAorliUyCkUCoXiikWJnEKhUCiuWJTIKRQKheKKRYmcQqFQKK5YlMgpFAqF4opFiZxCoVAorliUyCkUCoXiikWJnEKhUCiuWJTIKRQKheKKRYmcQqFQKK5YlMgpFAqF4opFiZxCoVAorliMi70AhUJxCRKGUD4Ibg2sFGT7QVPXxIrLDyVyCsVSvFhP9NM7Yfs3YGY3+C0wYtC+Gta/CTrWXuzVKRSnhRI5hWIxXqwn+umd8NgXoDEL2T4wk+DVYXwLlEfhFe+7st+/4orjol6WPvTQQ7zpTW+it7cXIQRf+9rXlnzse9/7XoQQfPazn71g61O8SDl8og/Hn6WiZZixB6hoGcLxZyMBmN55sVd4fgjDSNgbs9CxDuwMaHr0s2NdtH3HN6PHKRSXCRdV5Or1Ops3b+bP/uzPTvi4r33ta/z0pz+lt7f3Aq1M8aLl8Im+WpzgyVoXPznk8tOREj855PJkrYtqceLKPdGXD0aWa7YPhFi4TwjI9MH0ruhxCsVlwkV1V955553ceeedJ3zM6Ogo73//+/nud7/LG97whgu0MsWLlvJBKoe2saWSohQ4pGMGpm7gBSFTNQdXT3L1wa1kygehbfBir/bc4tYi16yZXHy/lYDqWPQ4heIy4ZKOyYVhyDve8Q4+8pGPsHHjxlN6juM4OI4zf79SqZyv5SmuQMJWlam5MmW/i0LKmrdoLEOnkNQo1gKm5iZJtapXXv2NlYpij149clEei9uI9lupC782heIMuaT/Tz/96U9jGAa/+Zu/ecrP+eQnP0k2m52/9ff3n8cVKq40JhyToquRt/xFXXZ5y6Poakw45oVdWBhCcQQmt0Y/z4e7NNsfJdeUR0HKhfukhMoodKyJHqdQXCZcspbcU089xZ/+6Z/y9NNPI4492ZyAj370o3z4wx+ev1+pVJTQKU6Zit3FqNnPen+YOSu9UOikJOdPs8NcRdru4rxFiI8tXXAbsPNb5z/TU9Oi1yyPwvSOKAZnJaLjV0YhWYB1b3xxlFEorhguWZH78Y9/zNTUFAMDA/PbgiDgt37rt/jsZz/L/v37F32ebdvYtn2BVqm40kjaFjuyN7OsMkuhsY+q3YWnxzGDJmlnkoqWZUfmVbzMts7PAo4tXfAdqE1CPBdlOJ7vlP6OtfCK9xFu+wbN8e0EbgvdihHv3Yy2/o2qfEBx2XHJitw73vEObr/99gXb7rjjDt7xjndw9913X6RVKa50+nJx0suu4lv7Q27jcQrNEVLuNIFmMZlaxw+5jo7+q+jLxc/9wY+tUTMSMPJjqE5AGEDejWJldgY60pG1teObUFh9Tq2rPbKX7/pvZs7biPBrSJEi763iDtnD0Dk7ikJxYbioIler1dizZ8/8/eHhYZ555hny+TwDAwMUCoUFjzdNk+7ubtauVVeTivODpgnuuKqLL5ZX8w+1ftZmymS0FpUwxs5mlrZUjNdu7ELTTt2FfkocW6MmBLRK4NQg3QtuFWZ2QX8h2ndsSv85yvTcM1Xli4/sZ67u0pMbIG4ZNFyf58erjFUc7r5xOUOd6XNyLIXiQnBRRe7JJ5/k1ltvnb9/JJb2rne9i3vvvfcirUrxYmeoM83dNy7nu89PsnfaxHECbEPnqmUpXrux6/yc5BerUfNdCH0wTBBpqM+CUwY7G/30mtCYg9a5ySAOQ8l3n59kru6yujM1HwtPx0xStsHuqRr3b51kZXvq3Iu8QnGeuKgid8sttyCPzeI6AUvF4RSKc81QZ5qVt6QYLTWpuz5Jy6AvFz9/J/ejatSklFRaPoEDKalh+h7CMMGpQm0KJrdFFp/XBBnAln8CwzrreNloqcne6Ro92dhxyV5CCHqyMfZM1RgtNenPJ87qWArFheKSjckpFBcbTRMX7mR+uEatWC6yu6RRbLj4QcBqJ0ahMUsylSUWBjC1IxI2KwWBB4mOqKTgsS+cdRJK3fVp+QEJa/F4Y9zSmay0qLv+GR9DobjQqFxgheJSINvPTHyQQ/v3MFVpEjM12pI25cQKqoGBM3cIr1mNYnS6dbi8IAFdm6Bz/TnpK5m0DGKGTmMJEWu6kds2aalrY8XlgxI5heISIERwf3AdRdKs0UZJ0UQjRDNtTCtOKANks4RXn8afGyH0HMivgmT7Oesr2ZeLs6ojxXi5dVwYQUrJeLnFUGfq/GSWKhTnCXVJplBcAoyWmjxZ76C07FfQag+Tb+4n5U6jhy6u7zEbdtAm56gFKbRAkKx6pMd2kI23RUJ3un0lF5mVp2kad1zVxVi5ye6pKDYXt3SabsB4uUU+aZ2fzFKF4jyiRE6huAQ4Eg9rtA/xRG4VGWcC06/Re+A+aLmMyRwvFy3QbRxMakGAXyrjH3iewrpXn15fyRPMyhvqXHtUZmmNyUoL29DZ1Jc9f5mlCsV5RImcQnEJcHQ8LB0zqcR6STUO4ZcnmZB5PC1BWWbolmWqehZd06l4cbS5SdoaJbT6BPRuPnlfyVMYijrUufbCZpYqFOcRJXIKxSXAkXjY82NlUraBEIJyuchA2MIXBQIpOKgvoyBaZMIyTZFAajr4NSqjz5PrW7t4X8mj3ZJmArYdU3AOi3ZQ0TRNlQkorgiUyCkUlwBHOq0cHQ9zfJtWaGJrTaSWxLXa2MM6ev2DpMMKSVpIAmbTa8m9fJHygWPdkqEflRt0X3XyoahX2qw8xYsWJXIKxQUiDOUJXYALO63UGPdytNPLJjHCtJXB0DUqZKloGWJ+lW5vhB3aCtZc/59Y1dG98GCLuSXLB6L7k1vBSkKifeFz1FBUxRWIEjmF4gKwZ6o6L14tPyBm6KzqSHHHVQuTOY7utFJuufyfr9zKQPFfWC4PMht2UA8tcJvEwml2B518w76NV+2vUMgkX3idxfpgAsTboptTW9gH8whHJ68skn2pRuwoLkeUyCkU55kjTY+LtRZr42WypkM5tNk66jFWbh7X9PhIp5V+Erzp9tv4f98MuLb5CEPBGLbv0JQGz8nlPGy8nHz/BrZNVJmoOtx9wwBDVilyT479LBKmo0XMzkKiAOVDyNoMtfIsjpHG1DUyto6ojEbJK24DHv6T8z+/TqG4ACiRUyjOI0eaHltzO3l38EMKcyMIGdIysrw0sZwfFq/n/q3xJZsev2Z9F/Bz3PvwSu4b3Yvp1/H0BM1kL5sHCqxoj3pdVg9tZeZf/4FV6VlEfRJm9kCzBJ3rXnBLCgHta2jV5vDKU+xwRpjRO0ng0qfP0d7VS65zIzz+lyfMvlRCp7icUCKnUJxHRktNrH338+/m/pa0P0cgLALNwvZrJLw53mCO8/0DMHEgoDfmRk2YrTTEMvMuwtes72JlR5L/8jUdXRcUkhY92RjaYfdhobmfmxtfx3SKVHNryRQy0STvyuH42rJr54VujjTDfh8dNEkJl7SYwMHk+XAF+72b+bf7nqb9FLIvletScbmgRE6hOI94E1u5ffpvyISz1KxOAs1Elz6xoIouXbqCBm+q/znpH+WgMQpeI0r1b1seidNhF6Hjh6TiBivbU+hHW3wyZNXsA6TCMnuNAfr0JMQtSHVHE8Xdxnz8TQJ7JmvoXpORrteyq+O1mGELT09QtrqYHdvHzPDzFFYMHDeFQGVfKi5XlMgpLi5XcoJDGFLY/RWCYI6y2QG6DUAgLBrCJO1OkQyapEOwy3nQNYhlwWtBaQQCZ95FmLT6FxSLHyHjTJBv7qdodGKEOqauzbslcSrRrLnKBDTnqLpgl3bhxfPsa7+VSnzZ/OsIoD8Z0JqrUwlssou9H5V9qbgMUSKnuHicoL3UFRH3KR8kUxumZNg0Q524lAsSQUTooftNDN3ExIPk4YGpVhoaM9EoncYM7PgmfTd88LhicQAzaKAHDnNhG51Zi0zs8L90sh36ro1cjMURmN2L1NsYtlYz1/dzlBMrjluusFM4mARODZKx49+P24iEulU+XIZwhV2UKK5IlMgpLg6n0F7qshc6t4aQAYl4klgroOkJLENDEwItaCECBwFYWoCIZRZmQupWFFNLFGBqJ1rl0KLNk4u+RdHVyMY8VnUkX3AzSgm6Aene6LVe8T7q1nJ+/FidrGGzWAfKSdHBTGw5mxrj0HZMeYGUMLMj+vnkvZGVeaVdlCiuSNQlmOLCc2wdl50BTT+c4LDunMxGuySwUhDPYyezdNkuScvADyQtLyAMAkwhsXTQNROEAW4dmkUoHYDqeBRTG98CE1tg8vn5YvGrerOUGh77Z+oc8PPQvobNmRr5hBUdtz4DB34Cwz+GkYehMQ3jz9Edl6zszCw9SqfiUhm8g1iuI7IAW5WoS0qrAqNPRBcfCEgWouSTRD5a32NfiC5aFIpLEGXJKS485YORizLbd2W3l8r2Q8caaExje0163SKeESPQLLRQx6q4CN0GoUUxOBlE8TihgRmPLCXdjDIun/8qFIYWb57svRPt8b+IhMmMw9T26DkQuS27NsLEFrTKKG9c/Q7GytaSo3Suu/4VaGLgBTdydSxyUUoZ/V2WXaeyLhWXFUrkFKfHuUgUcWtRDM5MLr7/Sklw0LTIlTexlXBuGNksowfTGEiE0BFmHDQjEpDQhyAkSgEhsupi+ej3/ErwnRM0T14XuXe33RfdGjMQy0GqPUpASbRHx5jeweD0j7j7hl/ju1unTzBKZ20kWEf+zq1y5KJMFq7sixLFFYkSOcWpc64SRaxU9FyvHlkDx3I6s9EuAyqOh+doeEEKEfroIkTXTRKWgR06oJngViFoRG7bMAQhwW+C0RkJlW6dWEg61sKmX4TxZ6BrfdS+y86+IEpHidHQVSVW3rLqhH00QwSjsoO6bCPntOjyHcSVflGiuCJRIqc4Nc5loki2PxLH8S2Ru+vYBIcj7aVONhvtUicMmXnyK4xPVzlgvZJC0iUmfFrSoNFyeUn9J4TZduLpPBT3Rz0lZRAJnW6BYUUxymR7ZOmdTEi8emQZZgei1ziWo8ToSOuwxTi2z2ZPOMUvVj26zCJtbe3HP+EKuyhRXFkokVOcnKUa/p5pTOaIG688Gj030xedgN1GJHDJwuKz0S4zwtIBZoafZ1IUyKdiSBGneXhfQZvFbRoEDYfYqg2I3ACMPBZlRJrx6DN2G9G0ADglIQnNJM3QwCkV0eNZMjFjYVH3KbzGkT6bc3WXnmyMhBWn4VjsKHbj7d+DNFPkU0eVF1xJFyWKKxIlcoqTcy4TRY7E9EIfNrwZDj0Js3siC8OIRSfLdW+8IlLSp2ZmaTXrWMn24z63QLPAsAn9JvVGk1R+WfT51iYjKzlwIqvMsE5JSPZMVfnucy7LZ9vobuxkJraCtqTNUGeSfNI+pdc40mdzru6yujM1L5DpuE1p4LUU9/0d8ZHn0PtW4mkxrLBFyp1ES7ZfERcliisTJXKKk3OuEkUWiemFhSFmVr6FutmGnczR3T+Epi/iaruYnGGyTZ0YLUwSuHhYC/Y5egrXSJHwajhSJ2j5hMnlJOolrPoUIgyiiwcpImv3BNbt0daX6LiVvtlZ+p0DjJXzPNNq8dJui5w3fVILebTUZO90lHV5bFuvYnIlj7a/je6x77N2734s6RLqNn5+Nb2b38bgFXBRorgyUSKnODnnIlFkkZhesVxk9rmfMOlv4QfZt1BK2KzaN3zcjLWLylkk21iFQWZjy1nR2kNZX4kTSAIp0YXA1gWOiOHqbbijw0yJGg0sCkE3q/y9pEyJbVjQKp7Quj3W+nLEap61f5lVsw/Q0ximWZ/h4GgCZ+UmwrVvoKuwZsni2Lrr0/IDElb8uH1zdYenS3nmgjdzZ6/PQEpSDm12NrO0bTe5O1+9dP5mCsVRKJFTnJyzTRRZJKY3V3f42WRA0+9lJYe4JXyCB+KreX6svOiMtYvCWSbb9LUl+fHgHYxvHyM5u5O5ME9D2iSEQ682xx7aedx+HVeLUVaIUbpwkSLgWWMT05lNvPJlNzHQ03NCy3Ex62susYK5+CBh8SCHJic5VDNITS6nrQarDuxd8iIiaRmL9seUUrJ3qk6t5ZNN2MhcH8V4tH8oI9k9VeP+rZNLjgtSKC4myomuODlHEkUSheM7YZzElQYcF9OTUrJnqk7TDSikbJrxbtpb++kTs6zuTDFXd7l/6yRhKBd/vQvBOejKommCrlVX8/94PU+7A2RklRXaOBlZ5Sl3kP/j3M6YvYJK/62M5l9Jw2zH0AV9eoXB4mOMPX4fods8oWv0Betr4fXqXMPngak4W9xlTBuddGUT5BImz4+V+eIj+9kzVT3utfpycVZ1pI7riFJt+czWHUCQT9mkYy8cSwhBTzbGnqkao6Xmca+pUFxslCWnODU61kaWy9GdME41UeSYmF6l5VNsuNHJUgg8PU7KncYMGsedNJdKcz/vnINkmzCU7Biv4uVX87C3gp/Wx7DCOq6WJKs73Fp5hI3VCQZHGmRbowTCZDS+ljmzA100yc4+T/3Hf0761e9f8vNdzPqKLiJqNF2fVEzH8TXipk46ZpKyjSUtL00Ti/fHbLiUmx7tKZtVHanj4nVxS2ey0qLu+mfxgSsU5wclcopTp+OYThhLJWEcm6hhJhfE9LwgxA9DTD36+plBk0Cz8PRI0C6Jk+Y5SLY54kpc3ZkiZRtUWzncIKTXPcC1k9+gKaaYC9sZ8IuEMqTleyTc3YzoUNGyILvpLk2SPkF5xhHr6+jpBNXDFxEp26Dm+HRmYvPW18kuIo70xzxSJzdZaeGHknzSZk1XinzSOm4NTTfANnSSljqdKC49Luq38qGHHuKP//iPeeqppxgfH+erX/0qd911FwCe5/F7v/d7fPvb32bfvn1ks1luv/12PvWpT9Hb23sxl/3iRtNOXCawWKJGYSjqwFEehY40pq5haBpeEGLpGmlnkqn0Oip2N3CJnDTPQbLN0YkcQggycRNkyObiw6TCCrv0AeJhHcsrM+WncEKdvFZlOWM8G2ZoBSFbKkniB7aS3XjgcO3cwouLxayvpufTdH0ajsQ2dbrS9oJ1newiYqgzvaA/ZsLUue+ZMbaOV5BSLrDkpJSMl1ts6svSlzs+YUWhuNhcVJGr1+ts3ryZu+++m1/4hV9YsK/RaPD000/z+7//+2zevJliscgHP/hB3vzmN/Pkk09epBUrTshSiRoTz4HQo5jW9A4y6V7ycZ1ypUSPXqRp5dibvwWEdumcNM9BV5bFXIlHhpw2Y91YroCmg+u7NKQFAkqhTSwogiwjtRSjNcF+Z4T+H32WvGgumuF5rPV1qFin1PCiCeJCsH2iykTFYagzssRO5SLi2I4or9vUzXiltWRj59du7FJJJ4pLkosqcnfeeSd33nnnovuy2Szf+973Fmz73Oc+x/XXX8+BAwcYGBi4EEtUnCqn0hUl0wvxdsTsbtZZNXYLj22sZCx/G/XYIM2Wd+mcNM9BV5bFXIlm0MAIHTwrBsLBkSaO1DBFgI+GK3XiMsDAJ24Z9MhJ2pxRxvfpiFWbaCv0L5rhecT6emTvDH//+AHyVZdQSjrSNn4I09UWNcdn87Iss3X3tC8iFnNjHt/YWaG49LisnOjlchkhBLlcbsnHOI6D4zjz9yuVygVY2YuHMJSLN/Y9lUSNxhxc/14QGmm3Rr4q+MmIwd6ZBs5M/dI7aZ5Nsg2LJ3IkRIymNKnVKoShDXaGipOmgxIzMo0pfUKhE2Di+z5rxF58YbCTVTTKGtfmNMQJ2qltOVgGCTcOFdhysIhdO0Sf5eHaCXbU0ozsG+PabpPX969FQzI/9eAUONaNuVhjZ4XiUuOyEblWq8Xv/u7v8qu/+qtkMovESA7zyU9+kk984hMXcGUvHo5t3BszdFZ1pKK6K3mKiRpeI5pvBizvgl9fuYRoXiqcarLNEsxbQM+NMze2l1m3wiw5+sQEDWsZcctisjRI1m+RlxV0AiZlnhh11vt7MbQWu4yNpBIWc3WXSssnGzcXzfA8umZuMDzEzdb3iTX3QrWFIV1M6eL7NkNOgY4tWRg7/QkSJ2rsrFBcilwWIud5Hr/8y79MGIb87//9v0/42I9+9KN8+MMfnr9fqVTo71eNY8+WRRv3uv588fa/36Sz/HCihrTSVFo+XhBi6lrUKHiJRI3L4qR5smSbYzkmu3RINlhpfIumuZ1ANjGyHtSKhLUajdgQRSPNDreP9XIfMeHSRZFeZgikhiFdupjBF3nGgyRecFRd3jEZnkcSXZb5E1wz8U/EvRLVbBeh12BZ/TkSfoWqSGMkV0Mie2YTJBSKy4xLXuQ8z+OXfumXGB4e5oc//OEJrTgA27axbfuEj1GcHks27j2q7urbB9K8r7Ca+shTbPf6KDY9/DDE0DTa4ibrzVHSK6698jvVH5td6jtQm0SL50h2rJtPxmn6DsnqJLJ+gC5PUELj0XAjg9oUMeEzKgs0pckNYiuFcBaqz9Ow12PqHS8c65gLh6RlENcFg9M/JO6VmE2sBKC3uRtLSIpWHzG/RLw6Ah03RrFTNdVbcYVzSYvcEYHbvXs3P/rRjygUChd7SS9KTtS4d77uarrBz1bdiF/egtHaSTbZjbSTCK+OPjfBtlgb3R230o9gdK5x6bonz4Zjs0uNBIz8GKoTyDCglmjgWDamHsfruIbJ6afYWS/wteCVNLUEPyceplsW2SpXIBGYGlSNAmYwh+42GLRGydhromMtkuHZl4uzOVMjeWgf1VQXAGlngnRrCk+L4YaSmJ3GdovglKPp4Wqqt+IK56KKXK1WY8+ePfP3h4eHeeaZZ8jn8/T29vK2t72Np59+mm9+85sEQcDExAQA+Xweyzq+KFVxfjhR416I6q4myi2+MZpBJO/ituTjFJoj6K05As1itnAVP+Q6tN02bWN72DddXxjT29jBkFU6o5jXJcNi2aWtEjg1mvFOmuUyM5Ut7LY3EkioOwFJCnRpZapBkpimMyTHGQ/zIASWppGOGYzJAWJBnTbRIi+KiFYxmiS+SIanpgluWRGjvNNnrl6jX+4i602RcGdxMTGNOIlUByL0IHCjdaup3oornIsqck8++SS33nrr/P0jsbR3vetdfPzjH+e+++4D4JprrlnwvB/96EfccsstF2qZL3qWatx7hKYbEEjJeLlJX8danrQ3kHEmMIMGnp6gYndTLjb52Y4pBgoJVnWk5mN6M/u3sHfXT+jMzJIxgtPq8n+hWDKj9GgWyy71XRzXZdzVIYyREWW6LJe9VZ2a4yNMmx47JI9LGEpiwsPRYrSJBikjJAhMZkghrXXcmJvFcsai2XuprvkMzzA/xMT+nTj1EnYyx7LODvI5g57p7fi+R12a2OgYuiQhGhj1sagwXz98kaimeiuucC6qyN1yyy0LGsEey4n2KS4ci9V7HeFI8XZPNsZkpRU1ChaCSqx3wWNGS02aXkBfLj4vlIPhIa5xvoFfm2GfvozNK3oRfuPkCRFnON/tTDhhRunRZQ6LtAGTukXVBQIXy4ph+C1k4OIFMVK2juHXaGomnW0FpmoO6SDkVeEO4mGTpAZSGMyRIsivIdc/AJUOeNnd0UVAtp+RXc8w9q3fx5jbjRY4hLrNSG4V1zhz5PU6XqID0ZrDkAEi9BAYh9cYlS6oqd6KFwOXdExOcWmwVOPeoztevGZ9F199enRRa6/a8pmpuSRtA9s4PBBVhqyafYC4V2I8vYqWI6m4kmx86Row4Kzmu50uJ8soXTAOaJE2YBWZYI4UbczhhTpS6LgYhFJiCY0eMcfOcBVmYYCCt51ctUi7nGWKdqRmo0mPdkpkvR2ImQ5YcROsug00jZEdTzPxvc9itYq4yR4wE+A1SE0/RdM/hG6b2LURQEQuSacOgXfYjVqDqe0gtFMqalcoLmfUN1txShyp97qqN0up4bF/Jmodtakvy903LufGVe2LjmkBcPyAmuPTkX5hTMuR9lZVuwvD0PHD8IX0+GNrwI5wJLFjfAsk8pEAJvLR/ce+EO0/RxybUZqOmeiaIB0zFx8HdKQNWHk0spAAL5SMm/34epyUO4WrJ6LfadDnj1DTszxsXE/CNrgr/iyukWaOHAnZQIQ+MTtONtNGzJmNEkXWvh40jTAIGHvsyxitIm5u9eExQAbYGcJ0HwQ+juMgNQOEEa3HjIGVjCzNwI0uInquhpefRflAGEJxBCa3Rj9PMHZIobhYKEtOccqcrOPFUtbeaKlJwtTpPSo7c769lR7HD6JSA1M/6prr2ISIU2kbdg5T4U8po/ToTv6aBuveAFM74ODjkO3D1POg2dT1DGgaTSNHtz+K0GF7sJKf2TcwxjKuDqZZFhyikV/LdLXGgBylx6xja3VMYUJuGcQL0CzC5Famp6YwZndFFtwx7zXQbaQRQ/eKuJkV2LEYhEHUN1S3walGcwBz/XDV2yC//Mw+oAtoUSsUZ4MSOcVpcaLi7aX6G16/PL/AyhNC4OkJfM3G9JvMOCZdmRiZo4ZxHpcQcVRihwQqTW9hsfkRy680ErnhzjJedyoZpQs6+U/vhB3fio5bm4DiPjJmgn7RwRbzakr9ryEwEphBg2nH4IEJi6m6z7I2nYzeRHpNDjaztMI0DWsDh2hgS5+UkWQwpZGbeRoe/lMwYyRqNXpbe5iOv4Rjx5Q6egrHzJB2pwkAqcdwZEgYSjQZYgcOoq0/ujjw6qf9ucy/17OYmK5QXEiUyCnOKUtZe/tmanzxkf3zVp5vdjJu9pMrbyeeXMmqjuQLFtNiCRGHEzvmXIM9Y0WKDfeFYvOExVC7Tb4+DT/9PDTLZ21dnEpG6Xwn/6NP+vkV0LkRahOIyijtepYRcTM76l2RdRvXaeoBuVQNTfdoS1gMVzTWeToiaGJbKbIJC1OP4QUhxdosnbPPkTBaOO1tOHYHoTtOXDbormxhIvcSmmbbCwsTgpLRQZvYD80Sk46gHmiI0IvcoFaCWL6brGGcWUblBbaoFYqzRYmc4pyzmLV3nJXnBwSxG3ijnOH6+BRpPQGhvnSXfytFxdfZdmCCUhANATV1Ay8Imaq20CsjJOU+bKFFwnaW1sWpZJRu6svSl7XhkUVO+tllkOkjM72Df5PZyj9Z69k705i3bl+5ssDt67uIWzrV1hCT33qQ/tJ23HRh/j1bukavPITlldkll3Fo0iSghCHiLBM9dLuHaGvsp5nJvXDcMKTpSabiQ9hBDd+tk9YlaAY1vZ0p2UZhbD/h0LW0ZfqW/gCWymA9BxPTFYoLiRI5xQXjeCtvPX3eOrSd3zxpl/8ws4ytbjfx5nPoudULhcBs0jf3HA3DwOrejND0KFHDdyHdA5Wx07YuTiWj9LUbu9Aqh0560m9vjvDrL7cYZdmiscyDc3CffQO3xycpNIep2l14epykO02mdZA5Uuzwe8joGhk7EvYxa4BYo0SmNkLM7KIZ60Tz6pj1CbxYnkfb3kzf9IMs02apGDmEDMg4E6z3nsMJNYoHEmQf/izahkWs3BPF20L/rCemKxQXEiVyigvK8VbeOsL21Uwc3DNf0NzdP4Sm6wueN1p2eFC7ntvjo/NCoIcOHfU9ZJwxrKBOlRzO7h8Q03Xwm9EJWTvsljv4xPHWxUnq7U5phtrkgVM66Wtenf6uxWOZddfngN7Plr5fYU3xQfLN/aTcaYygRTWM87xYS0PP0aYJhBBYho7V1sWw3Mgadxtma46wVSPUbbyOTZhXvYkn9sYpLutDqz1Md/V52ht7EdKnancxbq+gHlh0H/gZicoxVu7J4m0b3nzWE9MViguJEjnFxeGwwByYmOSB4RbPVlI0A4OY0WTVvuHjiq2PFYLu6vMUGnvRZEDDzOMLi6a0yBX3giYgsywqL/A9qE1FYrb3h/DSd0VCdorZgcdZn6ZGn5hB8w5AMRXVp53lSf9I/O+Q0U952btIt8bxmlWcWpENla8QGHE0AcmwTtwNCDQTR0tSiAsqdGO/9JfJprLYlkX7wAZ2uW20du6lnl/Bk1Lnpsowhl5gLrkGdB1DeoReQCOzikRj/wtWLsC2+6B0MMq+lGGUxHN0vG30qeixE2c+MV2huJAokVNceA4LTOXQNsqTc6wJDPoyKxnpuI1DRv+ixdYLhKDvHdw08ucYYYu5+AoAektPkvIqCEOPTrxODXQzGtTqVCMhe+zzUJ+J5tk9/y/R79k+yA/BCTqtzFuf0zth6zHCWFgN8RyUR5HtKSpO8ELWp60jTuGkf3T8z02aPDEdZ66h03QS4HdzfbidpC7pqTXRCRAyQIQ+RujQIEZm218QN3RIdcJwB93J5awrJ8mP7WagtYu+YA8hOj2tKTTdIESnHZ3k9CTk+1+Ioc3ti0QuaEH5QGQFJwrQvgaS7VG8bWY3bP7lSMzOcGK6QnEhUSKnuLAcdoeFjRn21lKMiV66UyH9rd20T0yj9/4yqc7l7J6qcf/WSVa2p9A0sUAIejMVkt4cs4lVuEYKZEhd2rTJBpqZiYZdu5XIupIhIKN+jVLC7h/Ak38NMoi68NenXjiRn2j0zFJuvIktoOlUPMnU9qcYDfI0sEjg0qfP0d7VS+4kJ/0j8b/tExUe3DWDJiCbMEFa7KwP8gb5CLmwgRu2E+oaaW8OM2gSYKDpNrrfhFBAfRpSnRgHH+XNM8McCtooiiweGgma2L5LK7CYEe0IYZCYHUO0ysSyXTD5PGz5Z2jMRHFMw4o6pNQmwalA37WRmFfHIjE9i4npCsWFRImc4sIxn34+Q83soFydIqVbVMngxldQaA6zau4B5nrfwbpYkfqB/UwcCOgdWI2mafOJIOPTM0iviWN14fkB1ZZPItaDIQ8hAgc0C7xWZInoFhg2JDugVYb6ZFRUHctCPA/hMSfyxbIDT5I2Xz30HFsqKWaCdlaIMbrwcDB5PlzBfv8W3ih7GTrJR7OyPUVnyiZu6WhAww0wkVxjjTIXFKiKNgp+lZxfQsenobdhBHWSNDAzg5FbsTGDLI8yNVclGdYxRIYKSRI46DKgLBLEpUdaVpnVOjjkGHR7RQhDYiOPgluPhF+I6PUMO/r8GrORmHVueMH12jYYNYc+SSxVobjYKJFTXDjKB+HQkzQr0zRKWxloOUihU6lmmbIHCRPtdFee5ybvz4m7s7jNBslH2uHABlj/JoY613L3jct59MkijbJJs17BN9J0ZWIMZpajj46A14wSSUIvOkFbqSg2JzTwGtE23Y6SUkI3OmkffSJfdi1UWwuzA0+QNi+Bva0cRmuamdW/zKymz09fKFtd7J5uYB1lkS7FaKlJqelx46oCIPB8n5XNrbxyYpgDTifjQY5OMct12i58LU4z1OkMm1i6QBx5H3YarzSG0WxSIkunVmdGtghDiKRH4AqdOA4xzcfBxPEDKvUG9tx+RGFofsgruh1ZxEKAnY4svNk9sPyVkO0/qnF1k5a/dCxVobjYKJFTXDgmn8cd30qlBVUSNDQbWwQUZJFEq86E20Ob2IcRtBiPraAaa2coGV8QKxvqXMvKO26koj+CNrEF2T5IJm4iAKq9UB0/LEQiKsw2E4CEajSLkHhbFE8L/ajdFSw8kdcmj08UaVUiETTsyP1pZ+fFrtLymXJ0+owASzrMxl6w2QQc3/5rCY50WOm143S09rOq9AA91S10tnaT09L0amnGvCRNTdA0bHJmQEzoGEK88D50k8Bz0KSHr2VIiDpZzacZ2gAkcHAx0AixpENKa9IgQdW3STcqxDtT0LEmsmobM9FnopvRe24Wo8ScdW9kz0z91BtXKxQXGRUdVlwYwpBw/09oOS51kcCwYmiaRjM0qGpZEjis9XcQBh6z8eXMejZtqTjpTFvkImzMRrGyMETTdXIvfSuZfDfZ2l6EU41ibJneF4aBxiIhkr6DW52mJXU8PY60koctuQDEUa413YyErzwaneiPJIpM74Qt/wQzu2D4x9HtwE8iEQC8IET3G2DYePrxIha3dBw/eKH91xIcSaxJlPdwzdg/0lnbQcNoo2VkCIVBLpxjFQfRCTGETyg0QinxpcQJRdQTOvAINRMfExuHAJ2GsGkQY5YsDeJY+JgEGPiU9DyHrOVMhxlqoQ1eHRkvUG2/hrpVwG3VkY25KIknWYCXvZuwsOb0GlcrFBcZZckpLgzlgzSLY0yIPDG/SsnXCSQEMqTpC2xh0E6VEbmMAw2TTEJf2Orr2FhZx9pFkx/Cta+n1nIxD/4EbWaEFhZVEkwbXXT6E2hhjYLQsewUuNXIItPNaBSNW4dU+wvZgUeSTeozkO6GRjGy8o7E8JZdi6llaA9nmLDWU7G7j3vbC9p/nYC+rM01qRLLdv7/SIsJJlMborl8jTHM5hTTYYpOrUrClOhhg8lakhghmhBMl31Mo05BVAkSXRRrVfrCMSbMfqYpkJYTdIoS4+TpkCVKpDhgbcDVU3T7B3hOrGKg0EVsaifbvT6KTfCDVaRokLclK8wiqdWvghWvPv3G1QrFRUaJnOLC4Nao1uts85axjr3kRIWmlsANNcLQw5Z1JHBIdtKWtFnZkSSUUG56UQPmxTppdKyNsiAPF3Tvrwq+NWJQm9rKbfUdrHP3Y1PBwiAXzBIIDRpzTFmdZJa9hIxfjCzEViWK13WsgVf9VvS6RyebdK6HRieMPnm4cDwddVSZ2EI61Y2Waudh4+WkERx92l/Q/iu3eKNnAKZ3om3/Bm+deQKv8TOawqYrcCkllrMz6GZ5WKRDq6GZcfywiRuE9DJJhRQInbg7S9AKGSXBTJAiYTjUvAROAAmjxQg95GWFZUxRIsUebSUxTacvOMBkmOLZ1E1c27+C6cf2YbR2kk12I+0kwtNxqxNsjbXR3Xkrg5p2+o2rFYqLjBI5xQUhNJNMNwVNLPaZ6+iXh0gHFRIiINB1akEGm5BkzMAKigwfKlMjgaHrtCUs1uRCcosVVWsatA1GA06f249V3MEvVP6ODn8vNRJohNh4xEIHixBft2lJk9lmkqtXrELUpg7Xd3XATR+OBA2OTzZJtkfZlzO7IuHzHSgdQuvYQGbzO3C32ydu/7VU0slRpQmpdBYnlabl2yTcGYRTZjLoY9buI6nNYckmImgxSxfC6qARmoS+Q4eoYOiCssziBQG7Ept5utnLKjnCYHCIpNbiYNDBFDkC3abLbOKHAc/LFTyoX8/qoc38tGozm7yL25KPU2iOoLfmCDSL2cJV/JDr6BjP8L418vQaVysUlwDqm6i4IIzKdkZEH4PmdvaEy6ibG0kYdQzp4WPQ447QDOqsdLYT+HE0w8Kx2pjSB5isJImXDuKvfzntixRVHxlwWqy1+BX5Uzqa+2iFOlWjPcqGDxxsIckbLSQSzARedZrmRJVEIgkrXnV8fdfhqQcL2nUl2wEJ463Itek7ML2LQftrvGfdXXxzPLd0+6/FOLY0wSljWzbdyTiuq5MrHyTHDAE5QgxcTKZFN/+cehfD9jq80iiBrFLIZElYJlrQoOTbrFyxlrHZJuNhwLA2S6teZriqMernWG6VyeotGiLBrNbJ6p4sr1nfxb88PUquYy1P2hvIOBPzGaIVuxvhBPMuyFNuXH0iy1WhuIAokVNcEOpeyNPJG7kjnGZl9RATXp66kSCOoM8foS2cY5YMbZpLxpB4mk7KmSbuFemw2hmhk+eD63g74rhsqSNxorXxMt3FHSBDqkTuTg0INZu6BEuzSMgGgRHjZ/Yr6V7ZR6JvAJZdD7qxsJdlqxwlqBzdrqsxE7W1ahSj7b4Dpf1QPsDgyKP8+s0fYfSaV1NtedQcn1TMwDb0aJbbYpbcsdainYVEAVE6gOU18WWILiUVbEzNIOVMUpZttIwUrVBjxC8gtQJYCWqmTmhISoHLMinmk0Bu3PBSdE2j6QYcnG2wbaJCww1IWzo39uW446ou/FC+4IIUgkqsd8Ey4xbzLshTblx9gnIJheJCokROcUFIWgalxEqeSr6dIesBOst7kd4cjjQIkczp7fwsGGJDxkMLDxH3SkihYQc16rSzte/t7Kl3cFOxTr82u6Cp8pE4UdZ0wK3jeAEtqSGDAIFAEyAQeMJAD13aG8O80vNp21egfiBGPfMjRNdGCrU9aLOHW3bpdtQNpTENfddFb2J6F7I2RdgsI4IWCBPhOwjDhuIw2g8/gXb97/Gj8hr2zjRo+QExQ2dVR2rx+jG3FtX1BV50LN2C9iG8qZ2ErSpNGQPp4TpNdF9S1ttoyBQvaT7GHrsP1w/JJUwsI5J9LwjRNQ1L12h5AdvGK1RbPrapETN0VrYneccrBmlP2wsmIRyca5yWC/KUGlcrFJcISuQUF4Qjbq7nxrpprbiHjDOB16yiuRW65u5j1E1g+zoykWVMtGMHNfTQQwscYkGVDjmDVx3Hfuyb4Bxc0FQ523s7MUPnYF0w7Rj0SolNQAsDAQShBCSW38T2K7SwcdMFtjmd1Gcq9A7/K23hlxiPd5NY/lLaCv2RpVafhvIooZQ07C7E1H6M5iy69PAwaIkEphcSd4toMiB06ujf+xh9idsQPbfTaB86cf1YbSrqFzm1PbLkNIOmiNF0BYgkNi6aCLFkwFiQZ1xbBoZFpzNCPBjD1POkY4ddhmFAsjHK2mRIstniJ6MmNScknzTpykR1bFvHK4xXWtx94/IFmY9n4oJcajiusuAUlxpK5BQXhAVurukGPdlO4rke0uVd+G4Lze4gawr8MMQydBwjTdwrknXGyDpjvPzA/yXmFck1kjDwkiir0qsTjj9Lamo/K+Tr+OpEnB5WsEwfIxM0aMo0vjxSryVJuNOEBEzYyzjo5UjMTjMoD9IbjGIFNZrVJjN7BWL5JnLtPbDsOur7fGbmGpRa+xhqTaLh4WDh60k0AXrQwJchhgZBGGJ6Na4Ot7FitsQz9i8zl1hByjaO68UZNXv+etSZJfQhlkUGLl7xEHZQpxrrRYQNWkaW0dh6xh2LUtPHlCH9uGR1h95cHMcLaW8O89LGIyxnlE4HisMaCbeLvYVb6MkuQ4iojm3RdRz7tzkNF6SmCfpzsRdcvOXjxxUpFBcbJXKKC8Zibq7u0CSZTLGyO8bukmC01CQTM0mHZbqb27D9Gr5m4/k+aV1gihDGngXPpaTn2FXtxC7vpiC/x1T1Dr6tvYwN+k5WMUwvDjNE8bSCqGCFLjNagT2yD682wwC7SYQNAnxaWhJThKScCdyRJjJ+I0XSbGt1oXtFtuirWcYOQKNKAhFqZEQDnRAIkWGITkhK1nC9ChpEfTjjgwihLawfy8WihJPmHHRuhJFHoTFNiIbmhli0yLpjlGPLmEyvR5ht9MYl6biPbFVYmW3npt4V/Hg6jjO+jdsb36TLrBOm+pgQNjPVIlfp+7k2/BbbmznmEtGkhhPVsZ2RC/IUxxUpFBeTsxI513WZmpoiDMMF2wcGBs5qUYorl+Pns62l7/mt1Eeeoul0UW56zNYcXspuPGqga9S0JElaxBMpRFCH2gR+dYqmzJIRGVqJbtaG49xq72CNt5OGBw1M2rQaGdHAxaYhksxKgyfYyJQT5wZjNwlcmlqCVFjDCXUSekhgptHcBq2JHezR1lPxLQbMgCknQ1Okick5DCSh9BHSRRAiiKzFEI1QGMT8Mrp06K48T6Z9gkqsd2H92JGEEysRuSoNGzSBdB0QDkKCGbSome00zbbogxOCpKUTb8wQ730l77jjJm4rNWn+6FsEhzxGtFUEEnxf4pspvEw73cGBeaFFRNbVierYTssFebLhqseMK1IoLhZnJHK7d+/mnnvu4dFHH12wXUqJEIIgCM7J4hRXJsdOBx/puo2JLVtItfayItVJs9Ui35xDElAiiZ/sYSDcg+XOQeAhjTiu4+Fqgg6jhOc0aUmbt/F9NEOy1+tivxhkwKqyLBylqSV5wLiJtY0ncYVNStbJygoNLYkQEqSOLn38UICm0wgTpKrTNLUu8paO61rMkGXM6CPu1YjRoCkNdAJAEs7HsASOnqBmdZDwimRbo5h+VLy+IHnDrUXz16pj0CxFo350i8BpMVeuY0mPvDtGvrmfcmwZnpHA9BsY9XHmtAxGz2toF1qUgKONI9euo1cm8IIQxw947lAZw9CoGl3kG/vJOJHQSimZqji0vIBK01s06/P4ye2LcJKpDEuOK1IoLgJnJHLvfve7MQyDb37zm/T09BzX3kehOFXCUPLNsQwzhwuRO5ojJKxZcr7PjNnLIbGMjngCs/Jc1JfSShGEklA6mIZBw8iQcqdJhDMUxXJ+Fq7CESEagjm9g7LZwTJ/hLQ7xX76uNo4wJibQMiAAB2JoCVs0rJCRaZohiZoEiEbCN+hTTQ4mFjD7nA9zwbb0MISfUyTEQ00QkIBgdTQAF+zKJFDFwJPt4kFNeygfnzyxvAUzOyEyhhoelRzZ8axEgV0O0XDaRCzCgTCJN4cRwRQ9nS2e8t4OnED6Z0WQ8W9vKlnjgG/hbBSZLWoD6eUktFii6lqCzsRIxVOYwYN5uoOeyZrjMw1SMcM/uGnB3hiuLjk1IAwlEtbdCeYyoAQi48rUiguEmckcs888wxPPfUU69atO9frUbzIOFLjdnQhcltzP5smvkrF6sYkTrM2Tuh76DIACTIMCImyEQGE9DFDlzDThdnQaPkhgZAEUoIUjIZ5VjDKt61Xs0qUWSbGQYYY0ouaOCPwhBm5G/0WaVvH1KDdm6aq9XCo81YyMs7Xii8hIcdxdJtOZhlgEg0ZDSKXBrOik9BM4Lo+MRxcLU4xiDqhzCdvzO6CbV+PBFsGYGaAENwaInAoxLooO01Gaafkp/iqvJm9rQzlwKZqd3N9TzttSYvnx8o0pku8N9DIVMejIae6hbCzDHUmqToetVqFuG4w0dJ5fHyOUtMjl7B42UAbMVNbMuvzhTE6tcXLIBYrlD+axVqwKRQXiTMSuQ0bNjAzM3Ou16K4XDi6aNo6u4y6Bb0QDxciV+xuOms7WVZ+ikLoYzcmkLJFSIgIZ9CEiaclCKUk4RXxtRhm6GJYFn1WnOGZOk0vwPUDTF3HtlO0U6VJgX/w7+Tn4k/Q7TxMLpihrqWZ1ruYJUvKn6NXNCiEZQy7g3L2ZdwvryOdWEE2VmIiNHmYa2jJndSwyIkqMaKOLbMiTy1M0G+GIGu0Ap0Z0cm0a7NpWZbXbuhgyJiFx/4PlA5FLcL2fD+KY5lxMOLg1Yk1xnDiXUzU23HCgG1+FyOynXTCJG5oHJhrkk/arO5MUT04TKk6SjocRZiJqNF0okC+Yw0vWZZlbuQAO1jJD8Ysqo7PyvYkQ51p8kkLYNFsyz1T1ZOP0TGThyc2HIhGFx01egiIXLGLtWBTKC4CZyRyn/70p/md3/kd/vAP/5BNmzZhmgsLSDOZzDlZnOIS5Bxn1C3aC1FozCSHWD35bXS3QlkmqWOii5BY4CBEiK7HCN0mtUQ7jp6is7ELLQyI2fr8+BfL0EjZBgWjhQhs6n6c/aKdXas349deyrqxf0H3GhyQPVRDm55EnnX5EmY6By97Nx2pl+I+eoDqoa38XPkh7tT3EBMuTWlyUHbjiDjLmEFoBjlRIxNUMWWCdGc/rVBg9ryCd7/8VfT5h9B2/hWM/SzKDLXiEDiQ6YkmGgR+NLMNDSk0xowBcladieRaWrVeBu0o/R9gru6yd7rGaztK3Nz8Bg03wI2nsTk8Oqg6Do0Z8ulucoPLaSz7RZY9q5FPmvRk4wtCC8dmW/bl4gvG6Bx57NHlB088/hgrU8+gFQ9Ek8hjORy7jWZ2FVqyg4ytIyqj0Lv5hXFFS3EOL5YUiqU4I5G7/fbbAXjNa16zYPvpJp489NBD/PEf/zFPPfUU4+PjfPWrX+Wuu+5a8Hqf+MQn+Mu//EuKxSIvf/nL+fM//3M2btx4JstWnC3nIaNu0UJkGZIo7uBQ0EYok3RodQyhoYU+0zKLkFARebYwRLOZ5OrYBMVYP2GzzN5yAjeIsh3LTY9SwyWhjbLLXkPX8lVkQ8FMI8BsezlBuoe+8R/QVd3HKr3Gyp4C6YGb5/tYDgHvWe9RffCb1N0ptpHCIU5acxhklgCNKdowwpD9dBCicV0uQyruE091EL/uFyAchcf/IvrMrGRktVnpSNyEgERH5Lo046Cb+I0yWmMKmVjGRGoDq+oHMfUsc3QihUYqZlCstegPf0gqLLPXXk9Xl8Bu7I+OIbRoqkK6G+3692DJPuxtu+nKxBeNnR+dbXmyMTqbrAkG9vwjrUJIonsDrdHnaVbLeKUyzalJJmMryVsB7V295I6MKzrRd0mVHyguAGckcj/60Y/OycHr9TqbN2/m7rvv5hd+4ReO2/9Hf/RH/Mmf/An33nsva9as4Q/+4A/4uZ/7OXbu3Ek6rVoHXVDOU0bdYoXIncEkVnEPO4M+sFM04h4z/iz5xj406ROgkZIVVsVrVFtz7G9m2Jq8lY2tx+iXB5gS7TjEyFsuOX+aipbl2dSNJCyLO9d3smO8GtWC+Z1sz/8q16yo8erlMdJdnRyU7dS9kORcg76szeDUDwlzHpW+a9m/bRKn4VEXCfbKOKvFISYoMB0kGZBjJITPoRnBaOdaeq95G4OF1fDwnyxowIxuHha3QrTdTkeuyuYctCrIMGBG78Ay4lxb/C6rnSqBbzNhDvBE7AYOGv0kg0namvspWp0YoY6WKiAL3VQrcwSegyE9UrpEWAmS8tSnBpxwjI4Muar6Y+JeiXrmJUz7Ifu9lbTLEQpajbawjOUN81PjVez3b+ONspeh418lQpUfKC4gZyRyr371q8/Jwe+8807uvPPORfdJKfnsZz/Lxz72Md761rcC8Dd/8zd0dXXx93//97z3ve89J2tQnCKLZdRJGZ24fTc6WU/tPKOMumMLkb3SNGu8FsJqR+gaB5smdaeDZdJls9hLgRJm6JF0fOZSK3nCvJEntWupxJexufYwhdYIKb2EJyxGE2v5fngtTWuQbN1l50SV9968kvHD1suRzMF9MzU+/8wke6f3zCdbXJOucFdpG5n8MnK2zbXL83x/+yROEGLpGhOyQCKs8FXvdjRNpzfuk060IbRl5Leb/HtjB8sXacBMbRKZKODoSWjWcfs3k+40ELO7cO0uGK2RbE3SjHUz47YRunWWe7sphFPcZ78JX/jY0mXcNejMWvhByBMjVYqNqAzCFCYrxDj2xCTL1g6ccsuu0VJzSUHMOBNk68NM6u3UJmocLDZoujEOGOtoNxy64w1SmsvM4BvZWc1hHdNVZR5VfqC4wJxxMXipVOL//t//y/bt2xFCsGHDBu655x6y2ew5Wdjw8DATExO89rWvnd9m2zavfvWrefTRR5cUOcdxcBxn/n6lUjkn63nRc2xGXX0mmq1WHY8aDOtGlO04+fwZpY0fXYi8d7cHP4phS4ear6ELQY4KK8QEDgaT5LHwKSbXE9fhhuBJflbNUe2/ir9tdtKfmSOjtWiJODN6J61A0mp4LGtLsGeqxniltaAWbKlki5HxSUYqc/Sl+mizJDFTIxMzqDkBXhBSCk1yuLTbAdXsKuqWzqwX8opsgsmqw2Pbpxj0Wogjn5kQ0LGGVr1EY3qcSmhjhw0O7TtASvdJ5rvIWim6rGl2+MsoGDa5VMBEBXb7cVbJQ2z2H+Xp9C1UHINszKOQsnjmUImmG5COGZi6geZWmG0IfrylxFsKtVNu2XWiHpamX6fVrFOUWSwc/FCStA2EgGk/Rjm02GhPY0nnxNPBz+RiScXuFGfBGYnck08+yR133EE8Huf6669HSsmf/Mmf8N//+3/n/vvv56UvfelZL2xiYgKArq6uBdu7uroYGRlZ8nmf/OQn+cQnPnHWx1ccg5WK4iZePToZjTwcCd18t5swSp546m+gMHRG7qYjhcjhqnX86EfLWO7vJrCWYwVVlrOXFA1myJGlygTtNGLLaZg6qcpubvB+ynPherwQSrFOrHCamGzSHkwxpXVQD0Ms6bF87kHMJ34AfSth3RsINXPJZIt0Rzv1osHOQ5PosQzj5RZ1JyBmaMRMDd1pYRpxunPtGKZFKCU1x8cLJT3ZGLtL0DANkkeN65mTaXaFq8jJ/eSZw8QhcGr8yF/J9voqflF/BBnPIzTBbN0lbesMJjyq9Qazjk2/OMDemIlIr+FqbZgdlSxNN6CQtCLRkJK8P8Nkfh3Dbhv3b53kfa9edUotu07Uw3KmCMsCk4zpYsUSVFs+uiYQAuKmjnDrFF0NV4sTt3Smyg3cmWHwWChMS10sNWajjE2hA/KFiyUVu1OcJWckch/60Id485vfzF/91V9hGNFL+L7Pr/3ar/HBD36Qhx566Jwt8NgA+JHklqX46Ec/yoc//OH5+5VKhf7+k2R5KU5Otj86uYw9G03SroxHJyTTjn66NdDMyN305L1wx38/46ttITR+Yr2Cfm8v17uPYIYuacpRLI4Gs2TYL/roFAKEYM7oZCWjjAfT+JS4ufoYA+EolnRxhcUBrQ98h9ft/jFpbw5rRkZF2D/oorT5PeydviFKtkCSaY0fNTC0i9n4IMnZrRQTK0nGTGxTQxMCxwvoYoYxcw2zRicQjboxDo+6iVs6I6KdemYlyfJOaE8hnQqjo9PUfYHMX4OobmeH28nfyzs5oLfT7eynpdUZdXMYpsuKeIvOygESfglDBghbJ2HpvOwan8LAO6n/+M+xR3bRHu8CDEy/SdqZpGnl2Fe4hW4twd7JChMHdjEU91l5TZJRORTFHJdo2bVUD8v2rkFKleWsY5gpkUMTglBKdCEASY+YY2e4ilHZTkd5L3eWf0T300XQ/IXCdOzF0uiT0bghOx3FK906NOZg61ej79Wu76rYneKsOGNL7miBAzAMg9/5nd/h2muvPScL6+7uBiKLrqenZ3771NTUcdbd0di2jW3b52QNlywXw32jadFJanI7zO6OthlWlP4eNqP+i+neaNjoyI+huP9wN4/TX2PDC2hLWBgtQeBJTCkRhIRSRwoQgKFph4u9JfXQIm+HdLf2cHPwGJZTpGp109JtYqHDy5s/Zrk8CAh8I4mIJfD9FqIyRuqRT3Jt9m5afTewZvpB8s39GKGDr9nMxgd5xFvGGnmA1eIQrt5DzRCEbo1BbY5Dforv+C8jROC4PnMNj460TcrWqbsBlmkSrHkD/GwP7PgGnufRUXfp0gTC1dkt+/kyt7Mv7MAPJb6ZxA0ssoZP4NXp8vfQm5RoqSxCt7DDJqI5R3rkX2H5VUxvfDfDY/+P5d4oujNNqNlMptexr3ALc4kV9NX2snn6eyQfKYEZoBkx+o+ITX5pcVish2XV8fjy1KtY2SrR641Q17MUPYOU4VEIZ6joWR7Rrueq+jBXTfwzvVaDRHZN9Lc/Wpiuf88LF0utUiRwicJhK5RoEG1+RfTzp18AK43sWEfFCfAaPqYeJ9O+FjFz2MI7MthWuTEVS3BGIpfJZDhw4MBxHU8OHjx4zrIeV6xYQXd3N9/73vd4yUteAkQNoR988EE+/elPn5NjXDKcjmhdTPdNx1pYcRPs+lcIA/Ba0XbdiFLgBRDPRe2qHvwjQEYnMRlAphfWvh5WvHrx93bUZ5BparzK/wkJQ/Cg/wpycppr5A4a0qZOjA6tznJGmQk6mXUDcobLYLYNp76dmKyySx8g9AWGLmh4Ol1yCp0AhzjCjFN1Q/zQRMoMKa/ErTP/j53NXbSZLZqxbjw7jhk0yVd2sKG+j8es68kmp+nxD7LaaDLlCbazku8ZL+O5ZiepmTotL0CI6JhPjhQxNI1XrirQlfZBQojECyR+KLGEIAglbhjgEW2LmxpzspPhoI+XyBHSoooRtJgJ2xmIJaIm0A0H8isjAdjxTca6/i1/Fb6ZrDdJkiaulsT3+lgp0ww1htk4+o+YbhGRXAvp7GlZQcf2sDw416CUWMmjybdxde1heuU+Ml6Npmew21rJY9YrGfG7ed3kfbRRJT94DSIWi558dFLJrm/DujfA1I5oll4iH31PfBecavQ96lgbfbfGn6Xc/Qp2jpQoNlz8MLKU2xIW62IGma1fj2oPNUO5MRVLckYi9/a3v51/9+/+HZ/5zGe44YYbEELw8MMP85GPfIRf+ZVfOeXXqdVq7NmzZ/7+8PAwzzzzDPl8noGBAT74wQ/yh3/4h6xevZrVq1fzh3/4hyQSCX71V3/1TJZ9aXI6onVJpF4fdm/p1uHu+Xp0Fe67kbiZqehkNTcMheWR66k+CaNPw54fwOrXwrV3L1znMZ9BT+Ajajt5xu1D03UaZjdlf45cOEdTapTDGBnKVP0abZk864wZ0t1DJKcPsdfqJ9vQqTRcTK/GWnmIJC1CTCxdUvc8fKmhawKpaTTDOAVZJFvdxRPWy0j7Om1JSdxKUTIHSfo72BQ7xLOD72G/F/WBnHZMniolGS02cRstyk2PXMKkPW2DhH0zddIxk7VdSbSd/49qq8V2+yYqrTkqskYoLTyRosvfz408xojxVoQQ+BIe0F7OJjFOj5ygSApcH8dpEgsOd0ZpXwO6ReXgVh4dfQZPxhiVnXSkLfxQUqu5VJ05XmV9H9Gcwy2sJZ1pO5zdeeYZjAuG3va9k6w7SbNWZmdRsqeVpdgIWB+bZZM9RVf3EG2p2DFfm6N6Wl71NrjqLVHcLfCi74hmQLoren+JdqiO43kOO6YaTEt7PqnGC0IapQkq7g7iegWzaz1kB5QbU7EkZyRyn/nMZxBC8M53vhPfj0Z2mKbJr//6r/OpT33qlF/nySef5NZbb52/fySW9q53vYt7772X3/md36HZbPIbv/Eb88Xg999//5VTI3c6onVU6rVsX7u4++Z8p16HYSREmo4UGoGwkICQAt2MI9w6tMai2EquP7pa95rRyTUepc6z74FIzF/x69F7W+wzKI2Q8EusCAMcLU5Lb2NCGyDlNmgPq9SxSRmSl3ZCUp9ES3bDwCvIlP6Za1b2MlSeQcweRGvMYbam0VsBCEEQghQhhmEQSokbhOgIdBGQEi1y/hSlZgctP6A9ZdFwAzy9gyExRsObphLrBUBLwstyIRVniobr05OJE0iJ54fomsbK9iSGrjE2sptycRvPVVKUApdUMkco41RbPgQhh8I8AxyiR8wwIbtw/ZBJe5CfWq9isDqMKQLssAJeEjLd0cVPsh0ZeEzOlXHiFa5f3suzh8qUGh6pmEEuYaKXDyIqu2lmu9lwVDINcMYNlI8fettBPN9Ne9KnMlNnhW3wa6tjrB02Edm2xV/k6J6WXVdB99XRd+Vw382j24PJIKDh63iaRyFrzW+3dI1exjD9OmWRohBrQ2i6KkFQLMkZiZxlWfzpn/4pn/zkJ9m7dy9SSoaGhkgkTjKi4xhuueUW5Pzk5uMRQvDxj3+cj3/842eyzEub0xWtw6nXRbOD3Yu4b9bkOsidj87vR7tSW2WoTdFK9SNLB/CdKr7UkAgMHRKajxG6kBtAVifwWnV8O48mNWyhIRL5qK9h+VD03vKrYNs3otfPLouyM4VGVctQ09LkTYchMc4zQZYpmcLV17BSHyUfFjHCFl6zCqtfAevfGFnAxn2I6ijpme2RuCbToIfQmkPKAEGIJkK8IIzchtIhRRUN6GeSTorUgjTPh6uZoZ/VnSlaCR2tuh/Try/4WKotn7m6x8qOFDesLFBzAtzD9XNpW0OvjuId3Mp0bYyyWEEhHZ2o80kbN4gEsYFNeziL6TdoEmDqGvmExQGxit1iOcK0iMfipPs7iWUL8yf6arVCydXIdLcRJk1u6WwyOTPDZMtgjAKDWgtbuPR3t5NPLhKfPsMGykslpbx8RSHK0jTn4NDhpBJ7kdZ+R/e0zPYTtq+hdeBnNLJDmJpOhsN+Ailp1oqM6b3ktRblo17CDmrEvRK6JpgVGUwSzBctqQkIikU4q6GpiUSCTZs2nau1vLg4XdFya1TrVX5WtWh4LHDfTFVb1FpwXbpG+lx2fj/Wleq3aE0PsyPspUPO0SbnsOTh4Zs+eCLqvejE+2hNH6QaGnjNJpoQxE2dfMIgLgNItEUnoue/DNu+FsWYSgcil1WiQJAYpKpl6JQzdIoqQ+mQupbE9y0ONnRk4LI/XMUjwa/S723kDtnDUDYZXRA8/+UoXpjsiM6YiQIUR5ChQwgQOLTQsXFJUUUXEAJ1koAgLyrcIJ5jm26ypvsl0KqwrxVjZwlsw5tPqd8zXcPQBWu7MmiaRiYeWQ35xjCrRh8g1xgmqM2S8Q5wVaxG0VtDqJkk8IglNcaaFrHAwwlNph0TOyloT9loGuxqZhk3+rmanZjxDGn7qH9TKaEyyqg5QFp3WXPob8g396MHDi3DZMIeYCyxHmsqQVpzF/+7nkUD5RMOVg2TkbU5viWyqo62IA+v+0hPyz0zdR6vbmZw9lliE09Ts7pIpDKsbhPkvGkcO8+PcjdwQ/AUhcY+qnYXnh7H9srE/TI1M8+42U8+OOYiWU1AUBzDKYvcW9/6Vu69914ymcx8B5Kl+Jd/+ZezXtgVz2mKVmgmGa1C6NQppNtecN8YOoWkRr1aZBTJGjPJOXHSLOJGlNVx3MYzdHhVvDCkIS1MYRClxQmkDAkJ2Dc5R7t0EVacuKYTSEnd9Qm8Fl1xDdvORkkHz/4jsjGDG+8i0Cx06WPVJkjUS9TNDlp+g5RfIiOraF6LZHkXhXCGUBhU9TSv9h/h8RHJFytO1B1/2cvg2b+P1hM4kSss9GiZaQzHQ4QSS3MxsUjLOrqEAEFDxNEJaWHj6DbxsMIKZwe+t4l2b4oVy1dwlQZ7SgcYEe1YpsmG3gwxUydmvvBp5xvDXDP2j8S9ErNGBzNWjlhYo885RJs7gafHkUInFDp9RhY3ofGwvx70ZWg+1BwPy9BZb0/SRZ1l7ji5ykHE3gykOiNr12siku1Me6t4yeg/kQkrkQAcTpZZ4eyh4E9SN7PEGhPQVjih2JwJSw5WPZKBWx6N3IaZvkh03EZ0zGQB1r2RPTP1w8X3eUq9v8xV1R+Tqw/jz02xrxpjYO01eKtfz56nALGCq2sPk2/uJ+VOo0mfhtnGpL2Clt6GqR/zbVcTEBTHcMoil81m5337mUxGDUo9S05XtEZlO3tlLyvEHsocH/PoFXPskUMkZTtnXRW4ROulitXJpOiiN9xFSxocEH1Y+NHwUAQJ0SQV1ki74xixJIiQQBjoQhA3BXqrxHTQRR8aojZNXUvQDJJUKw4e4WGLL0W7VqFTqzCiD7BCQNKdoVA7iAx9ikYHuxnAsBMM+XvpdWb5WvFN3L81zsp1HWhty6MkmOYcOFWkDDkYFmiRo18bI0WTNqrohweeOpgEUmDiERchfhCLhqj6ZcToQ2BotKU8fln/ZxqmQT2zkmDNG+hYvo6/eGjfC91BkKyafSASuPgKZhseuZRJTfYg6oeIyTogqVg9GNKlrXmAlp7EK7yV//DSNTy6d5bxcovB8CBvbH6LrliDoP06XGcc2ZzBnNuHqI7DmteSvOadXPWdv0M055jNvRB7co0Us1oCq7SbbG4ZsWzqhGJzXmJWHWujWPIRD0B1LBKd3s2w7o2EhTV894G988X3jljNU7lVZJwJTL/OzhL02at5z/IhVh3YtyDRxQwaeFqMNdPfJTG3jXzBJBM73so9GwFXXHmcssh98YtfnP/93nvvPR9reVFxUtFillG/m9z0NN1CUHezPJW4gb7W7AL3jRlEBcB1O8fTsRsY8sJFjnaaLDH52Qsk4xTolBATHglaNIlh4JOlhofBDjlAv5yGwCEuPepmHo0A26/hGHH200thcjfCD3hGLqMQtijIIi2zjYBovlwgLNrMMnWh85h9IznRICVcDln9VGQSw9DpTsWYNQsUGvu4Sf8p355czsSKJL3JDmQsR708jTa3B79VwfBckprJWNiHSQMbly5mmSNBgI1OiCYcTAKQDlKCgYfulSG1AvIrEGaSpFePCru3z0D2fdxxVe98d5B19iyd1W00idGoFUnYGTb0pGnUK9S1JLaIYYcNEn6RQI9RtPtpuC4D5cd4YusgTdFBxtJ4TesJ+mMtJswV7K35+EGKlOgjn5SsMIukEh1oVpyN1gRb4t2UGh7pmIGha/hBSLXlk4t3cXXSQdv4SzD61KJic16zDzvWRq7jRcpiRucax006kAgOyQ5cCripgN1TdcYrreMTXeKRq/iQeDmvi42zwRhFOOaFE3DFZckZxeRuu+02/uVf/oVcLrdge6VS4a677uKHP/zhuVjbFU3dC5cUrUJjH5ZfxfNcEj/9n5BK051cjqWv59HC2xa4bwLNYiq9ji3JmyjJPpLWWYVZI5aY/GzqGo6IUyZFGocYLRI0SdACBA1sOkUJpGDMHGAgHCXjjOPpcepWgbLVRaJZxDXSlIIMJWyS2VUEtW0kgjKOnkQ3dHw3gKBE77I17Exeh7XvX9gV9hMYKZK2QVvCIm7pAFTtLrrcERKtcSr2jVjxQeo7H0Q05zDCFlWZoCptkoR0MUMgBDMyR5Y6GjoBEKDRIEECBweLBha2kOjpHlh23ZJNhIdu/BB337icxx9/jGV7/5FCZRueFqPPtEmkOkl4y0hpVWb0JM0QMprGZGINDhZmfZyUV+Rl/k8YnC0xndnAfnsddnkvj3sJtFiLQsrCjBl4gclIy6fs61x9aCuZns1kjIANA33smWlF8VzHx9A0ujIxVhWyZFoHIxfnTR++KH0fQwSjsoO6bCMpDfoQaHDcpIO5usueqVr0HoIQTRMIYPtEhddu6F400WVoxdV09ywnPfXDCy/gisuOMzojPvDAA7ju8UHtVqvFj3/847Ne1IuBpGUsKK49Ilp66GIHNepaiqLRx/J8HxgumdI23tjczVf8N/L40e4bPUHZ6mL3dINNfSn6couMSTldjm69dFSWXCZmYFg2bt1gVhoM08cKxglFjLJI42EQo0VaNAmMBE90vJOO+m7S7iSh0AlDyVhiLfFVr6I283fkYz5NK89EeiNtzf3EvRKWDJAipEQG++p38KauZRTL91EXGkmziW3HqEqThuujC4HQY8R8h4xoMVPz+E5xIz/f/Br5cI6K3oEMdHRaWGGTikiRpQqaQTlMkZcVqojDGX2CljCw8CgIF0eL4bVtIHOsW/6YDL4h0WKl/BZOuogmM0grhW0Y+I0pnMohDLdElzDwQo8wDInV9pMhQIYhLSOF0B2kmaC7vpOuxi6aXoldfpaslFi6BkLMu7CLtYCpuUlSUqIZMfKWz3XL26i0fLwgxNSjBtLCqYJ/OC6laRc8y3DPVHVemI5MdFjVkeKOq7oWDMn1AskzB0s0XZ9UzMSMGdQdn1LD41vPjs9PMl8y0WXNNapxs+KknJbIbdmyZf73bdu2zTdRBgiCgO985zv09fWdu9VdwSxWXGv6NdZP/yuh0NkVLqMrEyeTsEHE0DrWM+g8xysaP+HrU/10515w34xPNxZ0kz9rjvSpPCZLrthwaYoEEp0QSVLWkUIyIXMgI7GICY9DopucHtL053hwxQfJuFMvxFsGV7NyeQejTz/Ien+YOStN02yjaeSwgxp66JJqjfGcvpF1Xa+gs/Ez8s4YLw0qNFshQUVHI80BrY+qlqNNb+Kh0dXRwTMHSkw7Bi2rnfGWhuU2iUkf0JgIc9S0LJu0/cRkizHaKVCiQIUQDSkE8rBtVyZLUe+moC1REnMkg69Vgd3fRWvMER+8Fg76OKVxxpopfFejw51GSI+WnkKX0CJGmz+Lgc8o3dimhtQMWmYWR09RKD9PMpijzeyj4Vk4fohtRhYrQpC3PIotjQlzGb2H/z6iYx3Z+FFjcS5yXGqpiQ7Pj5UZKzd51yuXR9/70RLlpkfT9cknLYQQSClx/ZDBQgLHD7n/qHE9Sya6qDIBxUk4LZG75pprEEIghOC22247bn88Hudzn/vcOVvclcxixbVdWojVmuFAkCceM1jVkXwhwUcI0h3LeWVxkslck2eq5pLd5M/B4o7LkpNmnANjk3R7h5iKr6TVqLBOHKRICo0ohpWmSQubufhyqmGMjuo+Eq0JRrUuxutp8jmL117Vg23o7MjezLLKQletRBD3ShTNbnZkbubl9f2w/euI0COmSUaDJEifvFYkLRtsD1cTc4vsslaTah9g33CJHq3FTAtG5EayloslfKqexphjkfLrrDJ0slTRwiZV4sRFi5gI0AkRBHgY/FC7gXZZo1s2gUVOrkcy+NzqC7FLTaOUGKQ5fgjTHyMtPBAaUgqMoEGdBK6VIRcUkWE09DVwbCqJLhw9BUIwbfXTWZ9kkFG2hkNRb84jSEnOn2aHuYp0rIfeU8hiRNMIQ7m4FXQeCEO55ESHlG2we6rG97dP8nMbO9k1VWXkUJlcwkQCrh9Qa/nELZ2hzhSmri09rueo452r9xYGARMH9+DUS9jJHN39Q2i6fqYfheIS4rREbnh4GCklK1eu5PHHH6ejo2N+n2VZdHZ2oqsvxilzbHGtXp9Fei1ybX2s7MwcX8hrJcgYAf/2JXlutVee3xPXMVlyzdk6Xs2hnN3Ad7yXIfzdDPj/gCEDctQI0JgRbczGBklnO8mJGnZ5Bm9yJ+VMboEQh6EkvewqvrU/5DYep9AcIeVO0QpN9llDPKBdT3/ferpGvwGNOWT/K2nueJAurUhNJiiFSfKyzFVsZU/sKnZlXk1iok7T9TlQ09gsTXJmQFNP0wLQISc80q0qOVkiK2okhU6dOBXSzGAh0EjQokWcuSBFQ8/wiuoYZPJLp+Db6fnYpaxPUx3dgRm4pGhi+XVCdELAwcbFwg/DqNG0MMjKGpPE2St7aPer6NKnJaAscjTCGMvFQcxwGUKm5pOLKlqWHZlX8TLbihosv+J9sO0+GH8m6t5vJaH3JfMt4U7kNjxnF0RHMVpqHpdUcgQhxPycuTdt7uUNm3rYPlYhCCWlhouuaXRmYqzqSJJP2vhhyOThwbaLcS7f28iOpxl77MsYc7vRAodQtxnJr6b3FW9jcN3Zjw1TXFxOS+QGByPXQBiegww+BbCwuNadMel+up1E1kLEFulUcdiC0GJp+ttOr7vMGXFUltzk2ARff2IGPdvP8yMlBrI64/UhGqGOh0EgTCoyzsq4S1flWZZbFTStSa/1AGFbicz6n0cz52DyAJqV4o6NHXyxvJp/qPXTY05TLhcZcw321dqIWyY9xYPU3G1k4gmcqZ14rkM8bJKQVdrQaco4oW5wsOd2km0bGC02aXoBY80s11sDDAX7OCQGCCSkwhIvDbbRq49i4SEAgY+khSUCPDzq0mZaptnLMpZph/hucAubyltYJ58j3bF8cUvJiEW3ykHcsW2YzTKelaFCkmxrFGSIL2GXuY6YbNEWzCKEj46BJyymRIEO5wA9pTqmCJFhSBWdf5WvYHW8ySY5idGcXSj+y646Ju56zMXNYePvZG7Du29cfs6F7tikkmOJW/q8cK3vybCxN4Opa5hGNJ4oHXthUGvTDbANfdFEqnP53kZ2PM3E9z6L1SriJnvATIDXwJp+jonvHQI+qITuMueMEk8++clP0tXVxT333LNg+1//9V8zPT3Nf/pP/+mcLO7FwnzMIbceJtZHsTA7c86LeM9wcdA2iCE7aMR3IZ0APwwp2V2MmYMs9/ZwyIjEpM0vsdLZi+Y1kIaOUVhJpmsFTD0O990Pqa6oR6EMGMr08uv9t/LXo/38cFecpmeRtA2Wd9j0ZmNUynuYKB7EijXwnSazQYKQNEndISkbeFjMyQxPz1pkUgG6BrmEya7JkCfTN9Bem6bQGqYWmqxjL31yEkMEuFJHExINsPExZIBOQE3a/CxcSUPPsN6YwrHa+Yr5Jm5tPM4ri5NkjOD4DL4wjAbEPv9lpOtTIoOFjpAuoWZC4OGjEcdhp7UR3a1wrbGPrCzhhjrdwRwy8GkaGTzDIhHOogu4hn08Ev8FdqfTVMolRl2d4VobMcsiUXPYN1NjSIy9UKyfG3ih7+nEFsLKIR4Xb2Cunl/SbXh0vOtccXRSSTpmHrf/aOHqy8UZ6kzz/FiZ1dmF/TWllIyXW2zqyx6XSHUqLtFTfW9hEDD22JcjgTuq3hA7g2umsEq7GX/sy/Sv3qxcl5cxZ5SK9Bd/8RfHjdkB2LhxI1/4whfOelEvWo7EwhIFwuntVEqzzFTqVEqzhNPbL2oN0JFEmbmGiy4EbghPxG6gqmdY5o9guFVWyYPYQQ0hNIhlDguBB/VZqE5EIt2YjSZBb/8mfY/+Hm+e/HNenpnhtnWd3Ly6g+uX5+nPJ+lpzxNz52jWysyGaVwMNF2npSWZ1dsPZ0FWKHkmOyer2IbOLWvaWa7PMFtp8nX3WraG/azhAN3MoIuAhrSpkSSQBi1MPAxCdOrYtISNbtikhEsrNFiW8FjfEefH1s18PfdOwld9BG79z3Djh15IUdc0WHYtrutQb7bwPYdq06Hq+PhBiBAwJ9pIh2ViYZ2GnmEiuQ4pBXFZJ6l71LVMNHzUKVIXScod13F9N9xuPMX9h0x+WGznkOxgoJDiJQNZxist7n14HzNPfuWFYn07E02DsDPQsY5WaZrMyHfpyVgndBuOlpon/8OHIRRHYHJr9PMEXpwj35Hxcuu4nrRHhGuoMzXvXr/jqi7ySYvdUzWqLQ8/DKm2PHZP1ZZMpDpVl+ipvLeJg3sw5nZHFtyx/1OahpfsRp/bzcTBPYu/gOKy4IwsuWMHmR6ho6OD8fHxs17Ui5qOtYysfkcUIxh9IUbg51fTu/ltDF6kGqAjJ6XRUpPxUoti3eVAehn32W/iJfVHWC/20iunaGITJDqxBq6O+kYe+EkUt4q1QelgNG8uUYB4Ab8yTufMY7wt02CrnmEuvmL+eEIITE3g+iGtMMDWNUToYGkSKTU47HRMWBr7Si1e21nm56s/YFXsCaaKZRrSoCiyNLBpEgcJDWL46Fh42MInkAKNEAOfGC42Ht3hJLau8fP+/SRHA66RJoeG+5lc82/p6Tk+k++Am6QVdBCKFimtAmGARGdUdJGgiUmACAPwmuRjOjlZZiaxglzrEH4g6bVbpBMxPLufsLCa/rYuSsVZ7D17yAebwerB1DQ0TZC0TZa1mcyO7mFm4nkKKwaO7zwkBK1EN+1T++mWM9Q5Ptv5aLfhCTnN2YULkqmmIiE60utzvNw6TriWavh8okSq03GJngynXkILnMhFuQihmcSsT+LUSyd9LcWlyxmJXH9/P4888ggrVqxYsP2RRx6ht7f3nCzsxcqeqSpf3G5S1N/C2oEyWc2hHNrsbGZp225yd756XpIGToWhzjT33LScmKnxox1THCo2Kdq9zOR/Fd94nuzsP1FODLJu+QAiGYsmPzdmoxqm+lRk1dmZaA4d4NtthI0SeW+KVXMPMBcfBBFdUZthi6adh0CSC2awhY8MHbQwQEfiiBglLUvoNFglmry+/ijCb5DIdXKwnCQmW1wrdrM8PIDAx0CSoU6AhoZElwGGCEGKaN6cNFgj9pLUXFy7m0a8wJweR/eb9FR3Env6ryD7mwtO7mEoeWC4xRqymG0rmfN8nOoMQRjS1LOEgcdQuJ9cWKQQzmLqgvHkWsbNQVZPfBsn2c7GriRWOol1eMzMXN3hidEWRqtJXzrASsTwAsl01aHmBFzTn6M/GdCaq1MJ7Bc68B+FbieJ4RE61UWTQ08U75rnDGcXnq5wnbAObhFOxyV6MuxkjlC3wWssOjVB8+qEuo2dzJ30tRSXLmckcr/2a7/GBz/4QTzPmy8l+MEPfsDv/M7v8Fu/9VvndIEvJhbEG7oyhCJL8fC+oYw8b7GUkyxqQcHtUHs/v/eGDdy2rpPvb5tivNxE12BKDqCnu1nfnX9hYGbgQugDMsr+06xoivhhhG5hiJBZkaaruo3B0mMU48up2N14eoKq3kZoarS1ithhk0Do+NKgjkEoBemgTH+yzCaxn5hbZEuzjbnqHLEwRMfHlnUM/Kj+Ch2TABMXgcBDR5dgiBBLSjKihkaIo2WopgZxjajBb0PEacVWsM6ZfWE8UGUU3BoTTYP/P3v/HSRZdtZ5459zrk2flZXlq7qqvR2rsRqZGUkgIQdahEArwQoCdiW98bIssSzo/cGyQICCjY19tUvEwvLGIuGNDCAhkEWGGc1ovGvvq7p8pTc3rzvn90dWV3e1mal2mpaUnwiFpqvLnMxbfZ/7uO/3+VqSsewWtraeQ6oQS1aJ4pAwlFR0miY2S/0PcXjwh1gOHBZFkSG9wu3pDFuGC+T6imvvh9aaY0stlN8iNmywM0ghcEyBnbIptwKOLzcZG0h1NTf9JqQuMCcFsjLATaSYaRn05/WG+13rrvkltEs36tl2pYHrsntwl+BsSXRNM/RKX9t5DE9s43RhO/byCwRWev1rUQqrtUA4cAvDE9s2dLYeNydXFeT+03/6T5TLZT784Q+vKZ+4rssv//Iv85GPfOS6HvD7iSvpN2z0pnBNXKZcJXe/g9ds38mrtxbP3cjMHYw99Qhy8UVwDXDzYNhoaRJ22hihj3L7MA1nbR7QETGOhLQ3TVFXuGemim+kaTpFTmXvZTHKcFt0iJZ2mdV9WEITS4nCot9oYkmD+/QLTOo5mqUa/dFRhkXMlACXDkprKqTpo3HWJwEBaDSSGIlGa/AxqOsMjlDYBgy39rMg9+GZeRqdiKGsS6J/AmaegK/8F2gtQ9QhFRq8ppwnzvSTrixiR03aVh/CTZIKmwzEZ2iSpLJ5L5umRmhoF7uwiYy7m7EX9yMXngd9ziWg3omotHzGZJknjUnm6cc+7/qnXZNyK+BEro8Jd4pb2vOXdBkQjTmKm/chvPENlQ0v4jLapasH2ZBn25UErivhSkuiL/m9DIPR+97NwpfPYFePEqaGUVYKGbawWgtEbh8j9727N3TyXc5VBTkhBL/7u7/Lr/3ar3Hw4EESiQTbt2/HcS4x9t5jw1zPfsM1s4FylRzY2b2RLR/ump+WjkHlZPcGmR2lmtlO2zNIt+aQWlL2LVSpTV/K7spPtVdIyw4EHiL2SaoFCrqNUQvYuvwVysYQybjcHQoRKTrawCYmp8v4scWSHGFrdIRiuICHjTQTaGFhxh7ZuE4obJZVigxtTNSaW4JAY6HQQAeLGT0EQjDGCjWRJh13yDZPMmvtIWGvLuXHVVg6CGEHhnaDlULUq+yYe45Ca5lI2vj2EKmghKMWQcfEGrK6jPv0/8v8/i2EVgGvsJ3Ufe9G7nlHNyM8b5k79moUOyeJU/0ccF9Lo6MomOcyMcuQNDsRc/WA+uSbcfXnL7sMXrzrR/mAHr2iftcal9EuXeMV9my7ml7e5eiuB/zC2p6c1VpEGQ7hwC2M9Pbkvie4JjXfdDrN3Xfffb3O8n3P9ew3XBNX4lpeOop67PfpVJfpJMewRgdI1w4TVWeIF89QNwYJzEHsqI6IOpRDh1a7zaDlkzc7WIZJRtQJJOjYIwJCXFwC+uOVrt6jpSniEccRlvIATVtrhsNZhnSNKIpBxNiqhkCD0kAEWjNCp7uAjehmbmg03XWypnY5yTC+SNBvhogYosCnaiVIqArjuYiJkSKFpA0n9ndLrwM7u2W71gqZ2hGG40XSnTm0kETCwdABGoGvLRQKE0lCewxQJjAHkGf3r37gF5i8wJLGUSbzyZ1MFx8iYW8iMVOl3ApIuyaWIWn5Ee0gpj/tcPc9e5Fi02UtbRjYyTa4orLhGpfRLl3jJvBsu9KS6EsxuetOJrbf1lM8+R6lZ5p6E3E9+w3XxEZdy6vTrDz5aaqnpzmux4kqQfdzEreg3Aky8UlWUjv4m+ABHvK+yP3xU2ximaZ2WQpTSBWQFi200gTaQRISCBfTkGjpYAR1lLSIhIMyE5iGj1aStswSCgs3qmFGbYRWOLqNFubZNwtJCKuL3z4mwarjgMG5vRlLxAzpKmVhEGkDZbikCPCtHAOOYnQ4gUg54FWgPtfNaN0ctFZg9klE6JFyJKKjQYcYOgYNTRKk6CBRNEQKrRUy6tAXrzCXuwW7dqy7f/WTv4U8zyUgYaU4/UzAi/MNtudtbp/Ic3ypRbkd0OyEtAPFtsE0/9dDW1ezlctb2pzlqsqGl9EuPfve3iyebdezJCoNg9GpnnvB9yJXZZqay11qpqvHtXI9+w3XxAZdy+vHnqVy4FEa2iaXaKPsLKHSzNY6VNoGY4lN2I1FKobFJwsf5GDwHK/yH6MvWsaK2xCv0NIa3yyQoYE2HEwEsVK0Yo2NgSFAEZMKVghlAs/KYWuFrVpYUQPQSFZ3t7RGCQNQnH0G1wI62sIhwtDd+/XZDS6Bok+0cFG0VII5Y5CMpUmFZbAcRNiG8kmonu7uoQ3u7X7hyhEIPUgUcILTREKgtEDr7nVxCVczRoGjfUJh04gM0t4CGXuIZnJobf9qdGrnWl9LAm++pcFc3V+7/rdvyrPc8JmvefSnHf6vB7exY+i8ctyNECneoMN3T/G/x3cDQl+4tfk9Rr1eJ5fLUavVyGYvUXq5CTlfl8+PuiXKbYPp6yvC/BKo8imO/NX/wxnfJXWeazkAWtNqVNhiLOObWQZLj4OVJJYmnpVn3pzgZNul1AqwpGJSz/On9ntoZHeSsA2EVhSiJbLN47wn/Hv64yUsN0s+WiKSzupoCERhiNQhWN0+WyZcIjASCK0xlY+hI2LAJF4bI1HCRugYkxCBWh0yAV+bGMRIWC1Zdo06I4zuEIqGiszwNe5i2IrYG+8nbylsO9F97XYKtILxO7sDNSf/BawEoNGV03TaTYyutzkREhOF1l2fOpuIDjaRsHAIaVv91K0iHW2RfPtvM7n7notKbidWmhu+/jdUWPhSg0cDO3qebT2+41zLffwGN3d6XA3Xs99wNbyca/mUmoFOnUh4hIZLQAKhBW5nmUJUZY7tGDJFQvsEWFQih5V6h+FsNzOdEwMcNnLcHj/Pg/EcsVZoBEIrtDBAaxwZ0YotfJVAuimywQJm1EEKhdAQYCFXnQPomuXQ1AYaiwzRWiYnAFt0B3WU7gY2sRrouuY6EIvucvktHGcorJCgAyQh2de9mSeLcOzLcOKbMLSv25szLAg9oigmBgQSiUKuFkO7wy3R6hk1MQIPi3JokQwXcITk6OlT/ONi/yVFhj/04NaXvf43XFj4JRy+e/T4bmHDQe6OO+64WF3hMjz99NNXfaAeXW7UCPZGeCnX8kxngaRqsqiSPKemuA2fvrBMXeSIVYq8qLPNnKOitjOoShyWWygZA4Sx6grqmg7NTkTGNXkiuI175DMUozKRNLEiD4SJIWJiYaMNi5aZp6+zTChsIuFiEOBjg2GRMQLwuyssEo1LQIDdDSy6W6oEVodOAAEhJlIrfEzKOkdC+GRokaO7JxdhUSOLtAYYjgPE4otgpbspYacK09/q7vtJA+IQGTYx0USYWChsgtXQa2IQoZA0cbC1oo1LR7jYhGgEx5/5Jt8e2sS2oewViwx/p4SFL+fw/Ypywe5mL/D2eCk2HOR+5Ed+ZO2/O50O/+t//S/27NnD/fffD8Bjjz3G/v37+fCHP3zdD9njO8vlXMtjaVNLjuGHPofjfkLgjDlOVrTJqRpV7dLAIR+X2CcNTul+vsbddCJwLEEriFisa3YY87wlepJEeIzYsLGUhxkHgMJazbZAoc0EI1kT3TCoxAPko2V8mcSwTBKGwojC1YysG4McAkxiBKBEt8fVXRwwgBjQmEQgoK0SLJPHIcQlwNeSZ8UutslFhJUgCA1SpiDVnkaaFiI/BZYDjUWIfSifQGOihEGgBW2SmITkaKKRVEWafl0lRuDqiACTBi4pXceTDmfMTYxEM+SCBdJOASHEpUWG0Rfd0JXW1y4svIFA8Z226tkQVyg11qPHhoPcr//6r6/998/+7M/y8z//8/zWb/3WRZ8zMzNz/U7X4xXhkq7lcZvQSGKGdaYW/4DIcOmzbSqhwVFrF8PhNAlVxSDGUj4z5gj/0vd2tJxAlNs0OxEa2CnP8B7/bxlUC5iE2LGHWi05glwVTRaAQsY+Ij9BLpPDFgnsmW/iiBhpgAjbqPOCXHf/rZtlxFgIYjSKCIOY7n6doNvDC7RFjRRCQF43kChOyjFip0BCLVBREj+K6EQlDKXRsSLyQlw3g5OKEflJotPfIo5jVoxhLFXFUR2EgLpIYqHI0CbGoK0dIgw8ukvwyyLPDONUwxQ7jAVCr0GjE5Fddfc+f+l/8cRzjMx95aIb+kp27zlhYSHww5hYawwhcMz1wsKXnBjcQKB4Jax6XparlBrr8f3NVfXkPvnJT/Lkk09e9PH3v//93HXXXfzRH/3RNR+sxyvH+VOeR5baZNw+DFkgDjWqUmNYW4xnNMq2CeodluI0JWMPRDUyuolLh88672Rych9bkhYzlTbPzVRJ1Y/y76M/ZRvTuIQYQhNpRagNWiJJBg8fhxfkbhoyxyYxT7jSYWfeIpnNITKD4LfAq6BiH9YUTM4OlOjuntzq2EmATUu72CLCAozVuUoNDIoyw5SJMOgYSdrZneQsF68sUDrEERpX+3jawohDFiotbMunXzaJqWEoG6EjbKFQRoJQd8dZ2solFgYSRUmlOabHaOPQL9sYUlIjTYNU15VAWjSUQ3+8Xtk/YRuwchj36a+Cblx0Q3dOPU0yLLPoDFOuduiEMUprpBC4lkFfwiUf+5cWFt5AoFD9O66bnc114xqlxnp8/3JVQS6RSPDwww+zffv2dR9/+OGHcd2LtfR6fPexbTDDG3YN8olHTrF/rkYYKyxDMpgqsOJu4i5xhrKVZzjrstTwqXshfpygT5d4XmxhyRhikq5ax3g+QX16Pz9ufY5dzCMxMNDEWuLoBjGSAEGTJAl8xliiqdtkojJOZZ5KM0lnwcBMZHF1G1N1S4/nh7azawQajUIwI8ZpKQMXnzweNjFah8DZqccYhcAz8oSJQXI2LDRbtHFI0yIULipWq2FUkqLNQFjuqqb4y5hExJjM6Byn5DhNKfDjGENFKCHpp8qS7mOLmMeWin7RwEQRY1AiTYjkqWgv01E/I2GM1ueUTTw/5FXtb+GYVRjbe9EN3T71BOmowuFqhbZIYZsSKSRKa9pBhAhaJCzrYmHhDQaK2T3/7uaSl4PrIjXW4/uTqwpyv/ALv8CHPvQhnnrqKe677z6g25P7oz/6I/7zf/7P1/WAPV4Zji01+OdDS6Qcg/u2FDCkJFaKxXqHL7XuZkpVGGifYFn2QwSjosyQtcyCyvKN+C4afszT0xV2DmUoNzs8EDzKpNNCRw6mahFgEasYU3dltlzt0xZJBDCoFnDI0ZIZ0IKyMcpw5ySRV0XiY3KuTAliNZvrBjyhNYKYI2qAk4yTpc1tHKWDJMKkppOsyGEySZuFIMFINM2EN0/enyUTW1iEJOmgVBtQuCgUkmGWAGiTpKMledFdG5gIj9M2LYQ7ATpLw4/o1yvkpOYERcbVflJ4VMlSJ4lLh83MUyPB89E4dT/mxdkas9Wu11pf0sIvTbNVzJEobrrkDd0Z2oGaO81QfIYosQuxmk0ZQuCagry3zJnEbu4Z27r+azcYKILS6ZtHXu4s50mNaa2pd6K1B6+sayJeYamxHjcvVxXkfuVXfoUtW7bwP/7H/+Av/uIvANi9ezef+MQneM973nNdD9jjO8/5bgg7hjLrnuaHMzbPVl2+6N/C23OnccrHuCecJyl8fOHSkQ5vN5/lCTPBi80RDusGPzASsLu0gJ8cRTeXIIrwldFVkRRd2WRDRxg6BCIkgoZIwuou2ylVZFrmuTN+jgyttbPos+VHLQhWe3kWIQaKOzlMRzsERoK09pBaESOY1sPM6UHSoc2A2WBY1XFUh05sk6OOicYiAK3WBlfOZotVUsRY3T9riUaREB32RvtZilYIzQRaajJxGU8lGBYlHBGzpAs4BGRpEiE5roaJtMFuOcMh616kFCzVO5RbPoMZl7uTIWMmiMvIZjW0Q9PsIxIOQ/4patYggUxgK49cuETDyvNC+jXc3wiYKJz3T3yDmpQpOjeHvNy6s3Wlxiq1Cker8hIqPIr8Kyw11uPm5Kp/S9/znvf0Atr3KJdzQyi0T7K19HVeJ47RDJqIUkwuXqQjkxw3d7IY50hZEQ/Ys9xpf4WvDL6LU2Kch7Ya6JmIqtFHwczjdkrd/TZhEmkTS3czM1cEoLuiyYGGXFyjIbKoWBM7BY6HO8mGj6+ufoPQMQJBvOovoFeHT9rapoPDTjGNr2wGZBVPdyWad4nTDOkyC/EEw/E8ho7RhovUAqElUkKkXYQKCJHEGCTwaOESaxNLKGzRAQ161fvOJMKiw0C0gkHMEgWOMMkeTqERJAzNMbWZprZpK4OaTpDG41Znkem+FkcDFyE0jU7MUBbefvd2Mi9kLqsdGfstWlYfR0d+iPTK8xQ7p8lGK0TCZj61i/nhN1DWYxdnWhvUpBws9rN1IHrl5eXOJzfBSmKS+YPfZklOkElY51R46h6J6gzR7nspvsJSYz1uPq46yFWrVT71qU9x4sQJ/uN//I8UCgWefvpphoaGGBu72I34aoiiiP/yX/4Lf/7nf77mRv6BD3yAX/3VX0X2mss3jEu5IRTaJ7l97q9IhFVqySFqqsCm8AXSYZ2qkHjaIpFwySVtGlaR/vYJXh09xpz9LrKiDVZMs73EnL0Vh1lSeHg6gY+NSYhFTIiJ0N1cboxlDKEQWnOHfpF2lKetLCwdobREC42FQAEGCrmqOKIQVEjzhNrFsChhakVb2CyTpU0Ci4giVQpRnYRUeNhkVBNtJKnaU6jIxzE0XifAQGGKmKTyUFrgimB1flPgYxJj4dDBISRLA4AONr6ZJSKFUIIaedKqwahR5QW5m5YfdXNDI8Vo2ufuEZui0U8QK4JIEUcRrinBzcLyURi9Y/0ghda47QVW3Cnm+u4hPfxqFuqzyLCJstKo7BjNQOG0w4szrQ1qUsr8Jt68r/XKy8udh0LwpfhuxjnADjlLgyFCug8LI3KReZXhxfhufvxm2OPrcVNxVUHu+eef501vehO5XI5Tp07xsz/7sxQKBf72b/+W06dP8yd/8ifX5XC/+7u/yx/8wR/wx3/8x+zdu5cnn3ySn/7pnyaXy/Hv//2/vy4/o8fFXOSGoBVbS18nEVYpJbcQxIo+q8awGbOgB8nhsc9eZDE3subs3XCGGKq9wLvMCoOHQwy9RN6rsOQVmBVDTDKPqz0iLdFC0MYhUCZJYhIEhMJigX7qOoGrFLlghWGaXdUSYWKgMDg3lShXR048XOYYZIkct4oTLOkcJ9QII6K0tjNXIcOIKJOigyBBrDVNmaWYsqk1A8IoRqKwtEdJ9FNgibpOdXfhRMyQXsFC4eCtDrwI0JplUcATKdIEpE2FiE0cNL5KklZVLNVAaRfHNNiSVRhWgtBMkV0tCWabxykufJnUt6qgqlA5BfUZGLkdcuNr2pFufpB635uZrwZsG7CoOSMEpsI2JGnE5TOtK9CkvJ52NteD2arHk60BquPvRV6wu7mU2cX+1Gs41hrgNd/JYZge3xVcVZD7xV/8RT7wgQ/wX//rfyWTOffL/kM/9EP863/9r6/b4R599FF++Id/mLe97W0ATE1N8Zd/+ZeXXF/ocf240A0h5y9Q8E7RcIYAaHQiplxBMtC4ToJ2IEjHNapxC9/s/j6YcYf+9nGS6ZBk/k6EsRej8y+kOifxtaRBihCBKSJaIsthPckxOcy96kWKVJgRo4AErQi0SQ2HQZaoiRQNnWJYlOga6nSXnc1V+ayyznBKjDNAnQQ+TRIMUyFHi37qhMKkjUuEJIGPh0tLu7iGJhssko7rxJGH0F25Lr06YdlHgxVyDKgWaeF1pcF0VxYsRGIQk6JFSzv4YUApgqKVpU9XaMsMru5QsMGPLAbTNmOcYSm5i7ozDHQz5b2zf4UVVBCpnZDZAulB1OyzxNOP46fnEekBEqO3IXe/nXv0KN/6ylG+eGCRWJ2TnzWkYMdQ5vKZ1sDO7j7ZS1j0nOWVlpc7n7PVhXZxG0/kt5L1F9Z2N+vOMJEGf6X1nR2G6fFdwVUFuSeeeIL//b//90UfHxsbY2Fh4ZoPdZbXvOY1/MEf/AFHjhxhx44dPPfcczz88MN87GMfu+zX+L6P7/trf67X69ftPN8xvpOyRZf4WVLKdW4It9l1ZNyhZQxQbwUkbIPxYhaxaFJICBZiiyhso0IfZaSJopiB2hFMFNnxPYg4hMoJTCdFKE3Mdo209okMl7LK8UX3B/kn/3ZMoZhkAakVeRq0SKKExCIirxtEwqStHV7Qm2lqlx3yDA4h8eqASoDFQTZTJcOtco4YybhYxhUhCxTI0ySJT4EGAQY+NjWdJkGboWgREccYcYiUoJVAa8gKjxgDQyu26TMkhI8UCqW7/T+FIMLEQONonwI1GiKNMhxOMkZKtMlRJZVwuHdqgBMln7h2ina6yPHCg93MVyu2lL6G8MoE/TvJZLui2GVrmGOJB0iXX2Ch3seL4rUMVAe5vxZD5qzzQvf/xOpwDPqyV/ocV6BJ+UrKy53PhdWFuju67u89P/zOD8P0+K7gqn4jXNe9ZPA4fPgwAwMD13yos/zyL/8ytVqNXbt2YRgGcRzz27/927z3ve+97Nd89KMf5Td+4zeu2xm+41xOjWLn21ZLS9cx8L2E8sW2wZ1r5arl2SVqoYHSbYayfWwdSJFP2tDoJ9FcZCSVoNmyacWSZjsgrZoMUsLsnyDZNwAzj+G3m1SiJEFoIaWJikMO6N0UZJUB/wxK7cPCRwmbI+YeRuNZ0qpOUsRE2mBJ54kxEICHw8P6Vk6pYe4Qx0jg08Hu7ttJh23MUlJZhkSZrOFTUy59ooVNRLefZmBoqIsEJZHjVcxhh+Hqm3LWB+HsflyHNi5zcoARlrGIVvfyNAEmTRL4WPTRxNIxadGmLAcRbpZqqDhq7GBf9CJtZTEQVdiSNnlU7eIx+36EHCehFHbjDFb5GF5imD2ry9flls8zM1W8IMZ2+tjTOcBIvUK7DOUTLpXkFAPmfWzeu4emHxPEq+VKx+DYcuvll7VvhEXPDeSm8Vrs8V3HVQW5H/7hH+Y3f/M3+Zu/+RuguyA6PT3Nr/zKr/CjP/qj1+1wf/3Xf82f/dmf8Rd/8Rfs3buXZ599ll/4hV9gdHSUf/Nv/s0lv+YjH/kIv/iLv7j253q9zsTEd8nE1eXUKE4/Aoc+D+khMJ3ro9e3AeWLbYM7u+WqyjDOt58mXTpAYnQz4mxwLe4Av47bXMIpjHP78Bix3yZRXcHFRYzfivbrtFdOE7RqpHVX5UQLAyU02/UJpIoYZ4a8WmbBGCZlKlpGggNiLxnRpj8Bi03NvG9yP/sZEWUCbQJdvciKTpOSHoO6QoDJLn2S541b+Rq3sV3/GSlaDItqV84LEx+JIVRXb5MWRdFEarmaUZ1f6hKAIEZiEpMVHWJtUSZHS9ndYRogwkQgugMswgMBFZ3uZqPSIxFVmE7fyrPpB3nXHXcwPFBka5Dn2P7ltV7XVFSj6GoKm4YppBy01hxbauEFMeN2i+HmSZJhlXJyK2F6mEqtSmb5Bd6aW+RAJ4VMbl53aV+RZe0bzE3jtdjju46rCnL/7b/9N9761rcyODiI53m8/vWvZ2Fhgfvvv5/f/u3fvm6H+6Vf+iV+5Vd+hZ/4iZ8A4JZbbuH06dN89KMfvWyQcxwHx3Gu2xmumY2WHi+nRhEH0CpBa7lr7zL5Woja16bXdwUSSVJKJvrTcPe7u0Fx5XB3YMFKdLM/w4ZEAZEokGtPdwPwxO2wkqISSmrHn2OkOYdD1M2QNKv2AJpxETNvDKKRmHaK8WCJfFzGUgFRYg+5VBElBPVmE9dUdJRLWfYxSoWmarNTzJDGo6ldyjrLjB7AMTVFV/HOqT76FsdwyoewdIcmLjESA4WtQ1rCJY3PgKjiOUO4roDaNGjVXQ1YtVlskeoWJHWIg0dLZfFw8LRLmjYJESKJ0Eg8bOo6TYBkKDpDJG2OyK3U+n+AF8MRpoJR9ukcWwYSfOjB7FqvK9tJM/JUEWF3g2y9E1FpB2Qcgz7vNE7UxjczdKwcWpoIJ8vhtsl94TJby1+nnJhcG/iBjS1rK6Vvil7blXCzDcP0+O7gqoJcNpvl4Ycf5p//+Z95+umnUUpx55138qY3vem6Hq7dbl+0KmAYBkqpy3zFTcaVKKafp0ahgboXEsYx6cWDOJGHyIyC34Sw2TXuvBa9vquRSDp/YOHMk93Jv7DdtXjpm+qeYfK+rt9adoyVL/1Xys9/hRHv0KpCiVjdbtOYq1ORQoek4ipVcvhujhLD9OmAAaND2pqjqgdYaBmkabPJrXDaG+LP4zvYpk/xFvk4BepUSVPWGWbkOG0zT9oxuNVZYEd2mlItiactfJHCIsTRXSmvFgkCbZEQAVIapB0DIRQIiRImoZYoFFprolXpZx9BjpiMaJGnSQcLTzss61y3Jydi8rrFF7mHvxVvZktCEhhJjvl5kmWLmtfkbx4/xZNWlW15uH/3JFNbdnWvm0rD9LnR/jBWREqRxicRVAGNZ/fhG91FZ9uUIATLoshg+xRZf2Fdj+rllrVvSneBDXIzDcP0+O7gioNcFEW4rsuzzz7LG97wBt7whjfciHMB8I53vIPf/u3fZtOmTezdu5dnnnmG//7f/zs/8zM/c8N+5suy0czsShXTV9UoyoHJsbkKlXaAFdbZ6c0j7SR5U5JQEURd/7Rr0uvboPLFRRJJAzu7r3/5EGSGuz8/PdzNLKunu5/fvw0lDB5rDPGaznFSqwol3VXtcw8n3cF7RZYW8wwhnBxJqZgONoFYYlkP0NepslkGLAp4UW3mc9zBi+EI+8Uoe8VJjuhxqqRpkMTCoOCYDGVdlvwiE+UzHKwIdhFSMoYwiFFxTLS64zaoygTCImNbWMpDtaqgotW5je6CghQah4iWssjQRiMIMYmFwiLCROEQUiJLQTdZoMBn4tczbwxjmUkqXogfxjQDn/uyK7xbP0eucpJowaN83CW983aKd/1o9309b7TftgexhMYMKiSiGi2rQDkxtfZAclaIuRYbjBg+Vtxee19frj91U7oLXCE3yzBMj+8OrjjImabJ5OQkcRzfiPOs4/d+7/f4tV/7NT784Q+ztLTE6Ogo/+7f/btXTh9zo5nZ1Sim22nqkcGB6QWqsUvGNclJsDqKaigIak2GExLHtM/9nKvV69ug8sVFEklKweHPdwPt+D3nXpex/nUtDj/E8Mw/YokYrbtzf5Kzu2zdxV6lRdflGyiRotaJGMg4dIw0rmiw9Q0/Qyly+dqBUzw1HzIT9dG2QYYhSe2jMFiQg8S668V99iiWIahjU2ms8FiwjS1yP3lqNEQGbbrYOiSnW4QyQaAiCGrURRKhDFwkQitMoq7hqZBdPzi6i+EdYWERYa1qrGjBmh/dKUb4X/G/4nA8Tp8QNPyYdtAVXr47vcL7+QL5VqNrQJsYodmskz3+JIVoCXnfh9Zlypnlo2wWKzS9Dm2rj1JqK5616tCuNU0/YrwvgRE0qPiSSmQTKfWy/anz5dpuGneBHj1uMFdVrvzVX/1VPvKRj/Bnf/ZnFAqF632mNTKZDB/72MdecmXgO8aVZGZXUQ5U2XH2B8MkvBcwVo0wFTbCMEmjIGyyFA8xbmdZ+46XC0YvxwaVL7hQImkjr2vpMNbKIomoQiQTaOURrmpQGMQYWq0FO7262N0RaTqRYqHuM+YGNGOTkXQfT5w0Oaw3MbnVYulUhZWqR8qWeH6CDhaO8miLFK5lkLAkUaxpBTFJAgIsHmMfe5xZbg2ew9E+Bt11gKpZYFaMco//CGEUcYoCFinG1RxJ4a+eFYRWSKFAdMdQIkyWdJ6M8EjSwSUkFlAlyx/wXr6u92GZYJndV2gJze25Oj/JVylGSyym96w91FjJHMeDNKPVZZJnH3hWR/tFbQZnYZG/e67M9sUvsiM8ibJiWqGi2YlI2Ab7RrPYlQVeVDuYjgp0Vlov25+6nFxb9/K9Qu4CPXrcYK4qyP3P//k/OXbsGKOjo0xOTpJKrS97Pf3009flcDcNV5qZXUU5cLbm8w15D29KzNLvnaThDBHIBIFMkvHnaZgFTosxsn5MLiFfOhi9HGvKF2dg7mlI9oGTA2F2z3We8sU6NvK6SsdIRmUa1hBBvISLgUARYBJqA4MYe7XTBeBpB8/KkbQMvCDCbi8wm9pJy89zfHmBkZxLxrXYPpRmudH1kFs2BzihR7lFnmLRzpJ0rG4mEyoqLZ9XJctYw3dQqgzzD9ZbcAgpxss0ZIa2SBFjMBjM4GmbhkiRpUGAJBAGDhKJIkQSYBBokzxNfCzmdJFQJvBFBkt3lS1TNOloi6rRx9aBNO+5e4K9o1m8uQMsPf733KZOMtQ6RCRdDEIqiSk8qw/TkEQ6opMcJnn+A8/qaP+mvkne1d/g8ccNlg5/Arl0iIruJzJc0iKmcvoMxaFR7n3dTzFubdpQf+pScm3n84q4C/TocYO5qiD3Iz/yIwgh0Hojm6ffA1xpZnYV5cBWEDFtTPD82HvZUflGV7ZILeNZeaSO8M00rViyXGsh/Jh0sIhMFS8djDaK6UBjEZYOdVMVNw9Tr4W7PnDpic2NvC4pSRgxRnaYkj+LQwUbH5uIEIOYbgnQQKG1ZJ4C5dBiQDYZFSssqwzPJB/gISHX3ZAH0i6DGQcpBKHSPNa4n4m4zKSeYcHrp64sbNVhQFWpJocobHsrk8sRzy5BIvPD3OM/ykgwQ1pXCYXFsXgYn5gVMcQEc0yqGRwiPGyE1mjRPWOoDRDgY+PhYAtBxjXphJJAaYRSZIXHW3akuf/BO9gxnIHlwzTm/4YT6jSeTBBJl8BIkg5KOFGLhcxeaiKLKSWGk4L2yiVLztsGM6i77uNTKy22lr/GNjFPymjjY/Gi2syp6EHeLsbYtsGs6yK5tgt4RdwFevS4wVzRb3O73eaXfumX+Lu/+zvCMOSNb3wjv/d7v0exWLxR57s5uNLM7CrKgWdvQGfMCWrj/2adbFGrWaP/zFfo96YpT69QsVyiwnZGb3s3k1ezJ3d+6XXqAVAx+DVolSH0uplr5fTFwzW5CVT/djrTz9DObcMyja6XlxDnXldxB6KxyLaU5IXGFJZfYogSho4wiRGrCpIdbbNMHwsUmWAeFbqcTGzjH4I72T2wg21miSHvOO3FNDo3Qdq1KCQtRH2GYTdiJZ3mk40f4nXRE0zpWfIiBNOlXdjLvyQfIDhi84N7+5mvd/iXapFHeRv9aglXedRiB8uAD4tPoS2XI8EEQ2IRrcAQMQiQdOXETjFMQgfYRNgEaO3S8iNipVFocoRIJ8nrb5liajizlvWn4ip+fgeNeokRYaKFpG3mSUZV+tqnOCN3M5RLkJXBZUvOSmm+fGCRGXMCd+8HaQaLa78TNXuIo8tt7CvoofUWqnt8P3JFQe7Xf/3X+cQnPsH73vc+EokEf/EXf8GHPvQhPvnJT96o890cXGlmdgVCuGdZdwMaTK+NhJdbPs8sS1aCd3B7ocm9ozZ15XLYy9F30OKnC40rm4ZTCg58rpt15sYBDYk+SBYgPwWzT8AXPwKpQYj9dcM1x/QojzduY7L0HO7C0zTtIZLpLNv7BPlwufu6bvvXcPjz9M0/z9joOM83fXZGBxnWKzgixEBQI83n1Kv5y/gNhDLBoBHQ1Anq4SBbzQV+pP03NL9wjIeqNZqRyYK9iZXkdt5rnCYZnsTodOhgc9oY5RviXh42khSsgO0Twxh9m8ggOLrUpNGJ+Mn7NvH7Xz9OzVM0KGJIQSZlIizJ8foId8TTeECWNpGQBJjEq0onCkk/DVq45GhToEFJCTrKwCImLzoIy2LRGObLLzZ410CDbVYZVo4ic+NsSzk864eU/Qz9YYXI7qMtEkivTF/OY2uxH9E4edmS87oemjTWrQkIrnzpu7dQ3eP7kSsKcp/5zGf4P//n/6wtZ7/vfe/jgQceII5jDMO4IQe8KbiaQY0rEMKFS9+AXMvgwFyd5WbAQCbBwPgo1VR3unJbVl/dNNzJb8CBv4PIh+o0SBOS/TCwo/v3jQXo1LuBOb9pbbimuniKf4jezOF4lOroT7Cv8S+k6seJlhc4UkuwefcdDJwdh5cSarOMLL5ArM7giA6+sFAI6jrN/4nfyd+JB/G6o5aUlYHSmjudBf6t82XkfI0zoojKFug0G+wNX2Cw+jXKRpFScgsLHQMj7rBVnWDELPHN3LtJjN6JsfrenA0ARxcbDGRcbhvPk3ZMvCgmaRmM5FzqXsjXnrmH0ajEPeJFDGI8LECQIMDXNgvkSRIggDY2y+RJCx9L+ERIlnUeHZks5/ZyMujrXotdHeRq1l9wDG7f1Mfs7Da88nNYnRK+TJI1Fbf0KbLtkxc98Jy/pL1Q6+CFMaPXsYfWW6ju8f3GFQW5mZkZXvva1679+Z577sE0Tebm5r57pLOuhvMyM7V8kKY9RCBdbNV56d7YFQjhwsU3oEq7xVLDZ7wvwZ6RHIXUufWBq5qGWz4MT32iW6bMDKMNhyDwoToHrSq2ZXXFlO1UV8lEGuBk0cU0KwefYkp9HbXzZ5n3JnkkzDEcvUCGCvNehs6ZO/n/3THKjrOve2gv1qF/ZEJXUHTdAlokqYkct8gTPB3v4LgxhhCQS1gEUcyPpZ+lL2pwQm6iP+2AEFimRap8knTUZjmKWPZttg9nSNgGRxez7JSz9LnP8GTy1nUvNWEbnFwJqXciJvuTF/WgckmbqLCDL6yUudU4io9FWnTwtE1Lu1TIEEqXDiY53aakcpSNPLNk0KKrnJKixZLK8PnWrWzd1L0WC5sTjJ6X9RdSDn3bt9CspJClI1jtJSwVI4wARu9c98Bz4ZJ2HGtmKm0SlmSicHGp/Gp7aL2F6h7fT1zRv444jrFte93HTNMkir4PprEGdnJ6+08y99inMGePImMfZTgv3xu7QiHc829AL87V+Osnptk7ksM0Lg6MV/Qkf3ZC1G9Bog8v0pSbPl4Yo3SSvuYKKdrIVD+uSTfIrVL3Y2bjApvFGY5Xz7Ayt8wbvEfYIuZwCGhjcWzhAJ/6wpt5z1vfyDZ9Bp79c7TWLJhjhLEg1nFXdYSQTXKZH+BJTqpRhBB0IsVrBzzucUocrBW7AWk1W85Jj0GzTWgUGVNtKlaHgUwR25QkbZOGMUi/d2nVDykg1orkJYKAEILbJ/JMN/uZi0Y4Go+zi1NYRFRIE2Fi65C0aONj8wXnB7GiFlvlHA4dAiwOy2181bibI51hBrwYP46pO0OMXpD1CyHIFIYhPwjzz0D/Vrj3g5CfXHvgudSSdssPOVlq8cSpCknboD/trp3/WntovYXqHt8vXFGQ01rzgQ98YJ02ZKfT4YMf/OC6NYLPfOYz1++ENwnHlhp8/KBFxXgXOzfVyEmfmnKuvjf2Epx/A/py0sELYzKXCHJX9CR/dkK0uI2216JRmqVFFtsycHSAG3aw4zpRvUPkZjAX93czjFSRMFa0sRkiRC28wFvbj1GUTUrGICXh4Cif3cFJwuW/4YlvJ9hi/wuyuYROjxLUY7QBYaRoxhF9uoErLHYbc9yaaHAy7uf2iTw/f3eWxJMhbVLkz3uthurOZLaEixl3aLXbPDNTJWkZtIOYDgZ99qVVP7YOplmu+5edJnQtg76+AlQSrMQuj+k9bBWz9IsmlvDRwsCTWZbjNC+m7uf5RoZxo0RGdGiTYFEUibUgDiMqXkBf0ibl2C/dj81PwF0/A4VzosqXXNLWinGxwjuGqnzzdIcnTghevX2ApGP2emg9elwBVxTkLiWK/P73v/+6HeZmZd1NaCiLEjkqq3931b2xDXBdp+FWJ0S1leKYHiOrV+g3GsSxSTKsYOruEnSIRUPkKLaWEEEDxu7CMnIkCWhFkqnO8xREkzPm5Fq21RIJasYkt8h5xMnP4GdXkMJkpaPxQ0UYKwwhsKSBr1PktEcgmtiqze6RzfzSm3cx5ZRp2QmSBISxg212e7yxtAi0JAraxEqgLJv+hI2U0A5iok6TpVisU/1YqLbZYlf4sck83zzd4bFSgvRQ9qL37+hSk0bczykxxmbzOHPmJo7EfThxE1fGFNJJHH+JZ+NNLNCPa2tOB0USlrHWlg1jhRTQDiLunip0r4W8sn7shUvahfZJtpa+TsE7hal87nMM9gfDnFx+kFPuVK+H1qPHFXBFQe7jH//4jTrHTc0rpRRxXafhVidEG80682EKP7sPEUzT753AUh1iYRILh9hMUFNJHOlge1X0wiEyk/czZpQ5GPaRi5cp24Pnhm80BJEi5ZgEyREGGqdoS0XgSXzh45gWYawIVkW1IwRZGSINk+0Tw7z3zbvZMZQBlSIxspvxlW9xyHPpT3dFiH0jRSlOMaTOMC3HEE4O1+r+3UjWQUZVTlnbOB324a+0mIhn+Cn1OHviBbL7YwqRwXCzwAFvB25+GOGkWRQDzNUC6l6IZRo8at/PECuMhKeZifuoaAc37pCsztF083xT3MNSK2I46xDECi+MsU2JQNPyI5K2ydZiev21uIJ+7PlL2oX2SW6f+ysSYbUrAWYkMCyPW+KT/IAT4t/5c1hDO3o9tB49Nkhv63MDvJJKEddlGk4p0AoSOeTcEaJojDBdoGRapPxlmjKPoXxaZgZ0jOmXWaqmMYQk0Zqm01K4hUkW7L1saX2eprIwJCitCSKFaQj6khaeMEiiKQUWUiTI6iaLcQYpBEKA0mDqCEMFzBjjvOauO9gxtLqSISVyzzsoLp1icmaGxUY/diKNGXl4StIUSZAmw26IwMGKPDL+IvVUPycyD/IT901R7JxiYP9XScVVZG4crBTZ+hlet/xN7va+yEJ1iLqRZ8WdYmj4DURqgIxj8lRjlD8K38xrosfYLOYYEpXuwrWe4pude5g2x0gYkuVmQMY18AJo+TGdKMY2DF6/o8jPvHbzxddig/3YtSVtP2Br6eskwiql5Ja1B4m2SNBxt7Bbl0iufB123gG9ANejx4boBbkN8EorRVzTNNzyYdSBz+HNH0Q3lzBq09zhn2RZ7MIXNkEYEqiIFg7P6U0opdkq5hgSLZKmxsHnQDzM8+bbeNUdI1D5OvhtOjqFFJKUY9KXtEhYBq1GHeXmmdF5Ju2QRtsno6oERqprR6NCCrrCMv08mXszE4stHtql12U/+Qf/b6InP4118kU6rRKN2OQ59lLL7eBOd5bx+AyGVyaWNkuZXRzOv44z7UGyrsGWma9BXIOB3d0A0V6BpYO4UuMkTNykhde3iVu8eTrR51lUbyR0ttP2Y/aHw+xX72DCLJPSHVrCZSYuYFkWItbcOpmhFSpOl9ooDUnbYOtgmh+/e4Ife9XENWVVZ8vSc6cP09fuSrqdy5Q1jU7EUNYl0T9xda4TPXp8H9MLchvgZlCKuKppuOXDVL/+e6wsznEmLtBmgn5cRtRhirXnKYk+tIqpkOcwk5R1hlhramInA/gUaTOUiDmx5X0sV3xmF5Z40/atpI8f5ITI4doGtimJlKbU9JnUJZyxO3mktpdM67PIdkhSmiRVhzQNLEIqxgB/Yf0YXt/OS5d4B3ZSfPOvUKicZmX6APNVjzPHbeyBKfYnbGbOU4KpO8M0/BjHDMn6i+ul17TuBoTQg9QAIvZJhDUSKQsKe2F2P3e2v8U3klPEWhPFGikkp6LiWb9UhABDaVzLQCP4rR/Zx3LDp9QK6E/Z3DnRh2lepaTaBdf2zfuG+MeFF+mstGmZgxhaE8WKxqog89aBFMIxoDl/5a4TPXp8H9MLchvgWnpjr5gDs1KsPPlp5mdmOC0nyCQs8oakE4/zhOpnoHWQaYZRbGaEZepk0VpjSIGUgiZJhuIyp+Jhdpa+zN3Nk1grVdJ5g61mCek1OeSN0VI2KRkwZVfpGx3HuO2HqT4FXzX+FYONL7NNzJHRDRSSWXOCr9hv4CgT3ONalFr+pUu8paPIg59jcOUoA2EHJwg5dHqY6qYfpJLasvZp5z9gDDud9dJrfq27D+hkutvhhgV+o2sT5AoS/RNsa0zzlco0hkiCVgxTIiM8WiQ4o/u7AmS6a1LqRTF+pLhnc/8VXIKNX/ttgxneec8OOl9K0/DbNIIEppQMZV22DqQopJzukv7VuE706PF9TC/IbZCr6Y29kg7MqjrNyskXWRT9a4vVALGCUMFinGNELPH56F4so8UueYyKSNORKZQwGVAltGWRCpYZqc7i6g4EDeKqQncaTFAi6Sg8s48Ak5IY4Uh8Kw9oi61Fi8dPj/BN991MmBWyskNHJFiWA5TaEYNZG0Ny6RLvBZZGwkoxZFUITx2jcuLPeHH8vbRyWy9+wLDK66XX4gBU1N3303Rd1VUEcQe0RjgpxjKCoThiJJzmx81vs1XM4RDiY3FcdyXDTstxgkiRuMJy9NVc+6ktu1B772TT9DO0c2OX1ga9GteJHj2+j+kFuSvgSnpjl3Ng3j9bob18gh+/Nc+m4aGXVEC5FpZWSnS8FnaquBbgvCCmXV1kWzBNRlbJ0SJteVjE5ESTreIMAmjoNE+wh7QwGYuncYMWrm7jaZuVKEGAw5Ask6XFdOGNZINFxoMSxeUvEHz5Yd4ztY/A3cc/iRyHO30MZGwipWm2u6W3LcUkC3X/4hLveZZGuriTuh8TtiMsN8v4ps3kzhwgXPgsf+f/DJbtrH/AUKn10muG3ZUs8+vg1cCvguHA7LNQPQPZUTKpNG/tN9hx+gskdY15CngiQUr43CGm2Sar/LF6C8fjMaaKqQ2Xoy937V+YrXFkscHbbhth93D24t+d1eGbZH2WZPtkd8dOJ8G/vOZpjx49XppekLtCNtIbu5wD86Q6w0Ph17AWjxEsa/RIETFwCWfx60ALlw5Wd+9MWzhRA1WdZzI8hYWiKUza2maAKinhUyXN02wGJAUaFKiRVwF5VSMXlgkVZFDEkcDHpUyavqDMvqXPUnPHaTjDtMxBGn6bTaX9/LQ7hzP6Q3xyOsmZikfKMRnIOIzmXEqt8NIl3tWF9Yo1wNHTVSrtADesMBLOUKDBkBkyoua5LZ0jvOVfM7Rl67mvv1AUOzPatRJaOdrNgiwXUgPd0mV1BiqnYOdbGSt9C2GXOCxG8GIXgSA0UpzUKSbVDA/qx1lyfpS7pgobKjNf7tqHsaLWDjhdbnNooc6ekSzbBjMXZ3ZXqHnao0ePl6YX5G4Al9qrO3//qZQc4ERsM2gkyF7KWfw6YPdPUnKn2Nl6DksoHL+M45ewCKmTJKUlWkMkTE7rAfpFk3GWOcYmjusUO8Us49ECaTyU1oQ4GNJGqZiU6GDHAZKABCVms3cSmGkMrWkECdq5MYreST44cohb7ng/Xz20zHytgyEEIC5f4g2aNFoNnqnb1HxFUTbZEhzCUh3qJGlohzG7RbF+BA7+MeQueM/ODxDLR6BT7a5OGBYICa3lbslSxd0S5omvkfM9lFL0m1VWjAyHw2FW4u65lkU/t9iLzA/67B65hPvEJbjUtS+3fJ6dqeIFMfmkRaw0piF4ca7GXM3jpx+YujjQXYHmaY8ePS5PL8jdAC7aq9Nq3f6TAsJ2QGCkuk7jFzqLXwfG+lI8N7iX5JEvkaZNWyQRxERAjgYBBk2RokoSR4ck8ChSoV/U6QibCIM8tW75kgy2ZSIAX4OvJUk8TEJqURpDhwBEscKUEss0IDuGXDnCa2/p8MC2vRsq8SorxYlyTKVVxSPBZHSciBY1mSdjxRC1aKLp69+OaC1e+j07GyBmHoNODfIT6KXDKL+FFgZCGkjTQoRtqE5jujlCdwg/8BkzahTNDsftXbTMPAkzSbrZ5I4h8/KlSqXWBaOWn1t37bXWHF9q4QUxhZSNBirtANs02J5LXF4t5wo1T3v06HFpekHuBnDhXl3WX6DgnVrbf4qiuBsMDHlpZ/HrgERzX3qesjNEx68zEM7h0kZpQSRMTKHI4tEkQ78oY+gIhcAjgWE7DNPADRWRFrimWOvrSSGItV41P9X4mHjKXLfPlXVN0El0Y47F5RWqfh8p22THYOYlS36PrCQ41CyyXR2nYQ5QEA1ibdEXLeFGHVwREsQunfn9aztjqjrNLIMXBFAJbg5Mh3azhhcnaMg8QnfdyPviGilpYcY+IvLpT4Ush5pqaJPCY0yeYcYtEHXqSMvlvt2Tlz738uFzZcWoA6bLcGqKTfFu2sF2Mq5FoxNRbgekVwdIgtVrbxvyhqrl9OjRo0svyN0ALtyrs+I2pvIJjQRaa8qtrpgvaLTWiAudxa8HtRmK3mms0Qk6cwfoxC5KRQSYaEySdEjiMcIKAugIC4uYkZyDa9tYUQJdM1Aa3LhFINIoIbGlAhXgY2IS0cGmqlyiVnBun0sIqtUqCyshf/PYIifiGEPA1oE0737VBDuGL54uVErz1UPLHOJuNtklNsUzJFUbUweYRGjAw6Vl5BloLUHcpGXl+ewjB3miXb14gtFO0+j4tEtztEQCbTgIBIbyIfBoC0FSWphRB6t2ioK2CGLoYGJEEdVwhB3JFoM776G4ZdfF7+8FU6BYKQhbZKsHeLt3lE9Hb0eP7yWIFZFSWIaJ1ppmJ2Iw65Jxu//0bqRaTo8ePXpB7oZw4V6d4doEwqbTqjPTNolVd9v4sRNl+pI2O/KK/PXefwqaELTJtebJmm3q2UHaNXC1RwdJmyQOPilaVMmSWDUHtdtLGB1A+SAEgUwgBVhxGy0MlDAITZco1ngaWiQIY81wLrG2z1Vudpg9dYwDYjPP6wyNwMOPYg7ON/j2yTI//8btvHH30LrjzlY95msdlt0pPme+kx/0v8yW4CgmET4OHdH1eJMyCYkkQWuBqt9mv4jID1hrE4xn+1z/5r5NeH6e8ahJR6aIohitNQlC0AqpImLdTVA72kBphWGYZHRITnvs0ccpyx2kNr+F4oUl5POmQBnYdU6dxMkiB3Yz6b/Afe1H+fvFCVKujRSClh91VxFsk60D5wZSbrRaTo8e3+/0Otk3iLN7dftGc0xHBQ6Ew90xcKUZybkMZV1cS7JU95g5dYyVxOT13X9qLsHKEVg+RNyuIRtnkDpEI3DxEYT4mIAmQxObEIXGizVeEOEpAy0MkrrNKWsLpeQWPCuHb6QJzQzCzfB88l6i/h081F9mZ16j4oh6tUT51AssxSmejzfT1zrOpLHCYNpmIGOzUO/wP796lCOL9XXHbQURUggG0g6HolG+nHgrVdlHQ6RZMoZYlkVa2sY0BLYpafsxsVLsSzeZik/TF8yTcQy2D6YpNX0+/ugpPuvdQlvZZKIyDiGWBAOFoQMMYiINbe2wIotEZgpDgIHGRJFwHb6Yeiefn8+iVh9K1jhrW3RWXeV8hCAzMMX92RL39XtEcVeYutoOGcg43D6RXzO/PbvMvm0wfVHPTynNzOok5ky5ffEZevTosSF6j483kLN7dTOVNp/7ypsozixxj71E0xomxCCNx4hcZF5leDG+mx9HXJ+njuXDcODvIfaJ4ohybKPRWIRoDYEwSdEhxkKhieneqDUmFjFSKGIlCNA4OmIqOMJ+415Eegcp3cIOqyxQ5OmRn+DeLQVeOPh5zJNdI9lA2CwEaUDzevXPpI2IsO0wZ07whPtqyI6x3PD59FOz/PJbzvXoUrZJwjJI5N3u4I7XYtkYIBPXsOIWbZ1AY6BCRWmphh9DUvrcPf/nxNImkg7lxBRPJx9gudHHMzNVmp3NTHI7D8gXsVUHU2piJG2RJqUbBBra2qKiE9RkkoSI6DcaBFaWhjNMPpe/uF+mVDfANRe7S+daXxzo7CRZM+b9dxR4yNnCwfk6n39hHj+MsQyxZgl0ObWcV1JEoEeP7zV6Qe4GI6VACsEJxpGb3ofdfJiCd4p0sLwmMrw/9RqOtQZ4zfUYPlgrpZWp998OlS9j0yESDpF2sIUHOmRe9LPIEJuYxdEeZZHDRdOn6kghQVooFaJMm4SI2R0dYK49Rt3Ic8q9hcbkm7ll6638w6GldUay7fIcg2e+QJYmTXuQupnE1T5T4TH61RL/mPxhaubQRcHj/D7mbeM56vN5lktZplWaYV2iTzQoSI1t2FRjFzuqYRjd0qPWChn75Csvsm3xJM8Yb0MwgtaSvzN/kIQOGaWEb+QJjBT5cJFbo+eQWtMSSSxDYOoIK25Rkkkq7k5yukVWdvD9+Fy/7OygydwzsHKsm5mnh6G4A1LFc9cgaIPpIt0ME31JJgpJtgykNqSWc7lF8suuG/To0eMl6QW57wBnVwraxW08kd9K9nyRYXuQZGeB/tJRghUL8ruvbY1gtZSms6M8N+2TZ4QJsYipY4SIQEu0MDikp3B0yFNqK3cZR0mLmAQ+Uit8beKoECUtqkY/I64ik+lnrLAPe99PM9q/mZFckv/9zRPrjWS14tblb2AYLfaHo7ixSdYy8GSSM2IT49E0d7Yf4aD5r1BarRu2OL+PWWoFDI9uYam5iTHvCIeMPeSMDsWEwLIcBr1jZMMzGLFmtP4cEoVCUiWN1jkeSjzOKfNH6JiSk4zxaesdPBA+xrZonpyo0oklc7pIIGxsocmoOlJo2kaKU4wQdQSppEVduef6ZesGTSbAq0J9rpvR+XUYu6sb6C4jv7URtZzLLZJnXIu0Y94wc94ePb6X6QW57wAXrhTU3VGguyB+9+yfkmmeQIcdhp8uwsLua1NAWXUAr8cO5XaTFXMbCTQp3canu/+W1G3GRIOj0QD/qO5m2A0Z1GUKcRWFwBaatnZpiRwSg9gwsIrbyaoW2YEs9KWZKbcvWnrO+gsMh9Mct4YgEoSxIlYaw+iuIJRkkeFgms3JColE/qJhi/P1QZ+frXI4uov3yEUm9RmWVZHTbYciFXaFx0nQIcYgFEm0tBAqJBvXSNEk7DzNjr6HOCL6qHdCDsejHJM/wqBapkjIfCx4p3yUW4xptOEwHM6SwSOh22znJHia+dT9HPZy7BtPM5Zz4JELBk0Gd60N99Cpd4OgtLpTspeR33o5tZxXypy3R4/vZXpB7jvApax6zldAmY77yPeNkczZXe3Fa1FAWXUAj/0mGk3TyHFE7GRCnSET10lqD4uQslHki8E9PG3s4YhxhlT8AnWZxRNJYmESaJNIwaBoQHITpIegfHxtzeFSRrJW3MbSAZnsALbv0Ym6LtouEhBUI4tJEdFnBEwMZS65YH024/nm0WV+r+HzudY7uT98lK3MkmUBO2rh0CFezdwMJTG6P50QSYYWU2qGfX2KRjtBrDV+GFPraCpRgRORQGn4iryH24059ugjdNDUdQopJWndBGJozrOjsMAP7t2FrJ+5eNAkWYTxu7r7jY2FrkxYIgdjd161/NYrac7bo8f3Kr3pyu8AZ0txhZTN0aUmDc9n88rXsPwKR9QYws2yZTCLcHPdTKFd6qp5KHXlPyw3AcXtuK15+nSLTXoBK2owLTZxWk4i0HgksaMW7xT/woftf+SImKRm5DGJEGgiYWKJiKyqos0ETn4UVg5Bu9wt0ym1LjvVWlP3QhZ9E09Z2KqDbUo00PQjyu2QRickJX0wXQqFwmWtic6+X5uLKbxQcUyPcSDzAHWzgEaSFB0sujd5Q8dESuNHik6kiLUgwCYpfKbkIlsHUzimxAsVhhQkHYPBjINpCE7oURZ1H6F0kHaCtAywdMAC/Twm7qDPNXh//gW2FVNr2fGajc9ZkkXYdD9seX1XHPpVH4AH/sNVZ+Hnv6eXordu0KPHldP71/Id4vxSXHn2KE71GEtmkaHsuf0y4NoVUKSEoX24L3yKe5szKBWjgDiSGCg8keJFczcnwzyu7HC3M8NUXOFLPEDGqDIWz2JGAb42aJGkYGo48bXujd6w4J9+GaZew9idH2DrQJrHTpaIIkXFC4ljk7xfZHN4jI4epz9pIyV4oSKKYvqiZYKh23jXg/e+7PDE2XnPSTXNW9pfIKPqLJijhJhMxKcxdEQKj85q5qk1xFqDjlFCohH0JW1SjokpA+JIYZsGCcugmHIYUktkozpPmbfRn7K6C+7aZCV0GMwm2DluI73T3Wuwmh2v2fisO6jolinTg90BlGvop94M5rw9enyvcdNncrOzs7z//e+nv7+fZDLJ7bffzlNPPfVKH+uq2DaY4UMPbuXn7h1k94DNHVvHuGuy71yAO4ud7GYOV6OAsnwYnvtrpF/DtEwiTBQClw42AW1tsOQbxEgiM82hcJQRq8Vee44/sH+GZ8VuZnWBk3qING3s1hnCTpPITHTLdUELDv8j8pu/y52pReZrHU6UWkgB2YTDl+O7WIpSbOEMo4mQzQWX3X2a+7PLxIkCi6NvZMvAy4sdt8OYgZTFG3kCJ6hwWk7QFkmauPjaIsbAJiJBB4nGEoq08AFBXbusqCyVdkCjE5FxTcb7kty/tcirtw3wuh0DDLkRhvKZ9QwO1ySHGi7H6gZBDGN9CaSTOncNVrNjarOs2Yaf5eygycCOa95zvCjj74REStHohBxdar6kOW+PHj0uzU2dyVUqFR544AEeeugh/umf/onBwUGOHz9OPp9/pY921UgpGB4oQjoDZgDCvfiTVkfQr1gBRSk48FlYPkBTJ5hRBWJ8LN1hgAoCRRqPPdYipcIYsdbMVjsc8XJsS84w33cH/7z4anbHL/Jq8QLDogIIamRo6zwZlSaZyOH4JfTSQWj+A6OZdxKmbSrtkFIroByP8ln3nTykH2d3Z54B5kBIypkpDmffwrHWIK/dwOBEyjbZ5lTZay/QIEs6rhJEBmfiPso6S1HW8JHYhCR0G4UkwEaKiGOM8832ZmK/RSeImehPsn0wve5hwuwv0KlbWKpNpDLYpiRhG1iG5ORKi4LROadCc56Nj1o+SNMeIpAutuqQDhaRqeJ183m7GnPeHj16XJ6bOsj97u/+LhMTE3z84x9f+9jU1NQrd6DrxdnM4KzB5/mTdNfiAF2bgflnaXYCppsmnlZYhoOBhljgawdbhIzIKtrs4JsZLEPSKlfpbx7hVY0/pq1MbKlw8GmRxDPzNLRLJ1BUK21StknacMjINknvBV419UbizBiyPkuzUeEFFRNntvJiYFFof5kh5WNJRcovsa/5CCvyHlrBlpd9KWP5BHc6s4x4R9lkGCBiYmFQkRlOxqOktYcrfDQahUKgSBHQEQkelvfyxlvGmCgk+cvHpxnNJcgmrPPeYs0RL8+oOcEOeQIvN0DCNnHMbpAqNX1W5qbJ3voA8uw1GNjJ6e0/ydxjn8Kc7S6+K8MhKmxn9LZ3M3kdbZKuxJy3R48eL81NHeQ++9nP8uY3v5kf+7Ef4xvf+AZjY2N8+MMf5ud+7ude6aNdGxcafGbHuiXK4BodoIMmym9RbYd0tINrdacaY9XtUUnRjaFx6CNVAEBBNNgpjiJ1mxJZ2k6RcVki43sYOmQxyBIIhSEEWoHSmkYoUHGEMNpsCk4wMPtVCt4pdOhxXwSteoYiVSIVsmxPYLpprNij2DjEG5kl19wC3P7Sb1HpCK8NHybWHnWVASuHSUw+KBNrg2N6jL3GSUwUCkWESZk0S7qfHfo029xF9m2/h/2zdV6cq5Fxz/W4us4AIQ8b97LFqrKVMzTEECEJrNhjCwssRhlSo29kZPUaHFtq8PGD1rrF95pyOOzl6Dto8dOFxnXNsjZiztujR4+X56buyZ04cYLf//3fZ/v27Xzxi1/kgx/8ID//8z/Pn/zJn1z2a3zfp16vr/vfTclZg8+RW8ErQ+lY9/9HboXd7+yae1ZOX9mEpZ2mGlmEsSIrOrjax9YBARYeDg4BhugGBd9rQxxTbB4iFaywQB81WcS2bVpGhpZMI1H06SqR0oRKEyhFO4jRcUCsFFEUsWX5Sww2D+GZORqpKQIzxy3+M2wJDlMTeSIzjRYGgZHiBOMMmS2G5r760q9rVbUla8Q4g1tJGzFhrGlEgrrIkRQ+w7JEiwRH2My3uJNviHv5J17Pw2ovBdFgT/VfkOhL9rgq7YCKF1JKbubApveylN5FIqrR502TiGosZ3bx1dy7qKW3rB7n3JL2tqEsKreJSmY7KreJbUNZyq2AL+1f7OlL9uhxE3JTZ3JKKe666y5+53d+B4A77riD/fv38/u///v81E/91CW/5qMf/Si/8Ru/8Z085tVzoQN0cwnOPAXP/dWaPxnF7d2sbyNO0bkJavYQGb6NqwPiyEQLgw42PhIHH4lGa8FU63mS3pM4YZ0AgwItbuMwC/EELSNHSfSTokYaD0v7hMJBiu5TkR01iYQkAiLPo92/c+0s+ZQJviRQgiljjoYxQhDFNDoRCcekOLQZuXLB5OgFxqPoVX3I/DjJ9CAiaKCadWraJVAGWkiKusa8KvKi3E7dyKGUJtQaUwpazhD+4kHM2gzbBicv6nFFsaaYstk5lCEuDPNEYfs6FZpZ3U/Vi7uj+kqxMH2U9syL7ErlUKQ4O/sJvSXtHj1udm7qIDcyMsKePXvWfWz37t18+tOfvuzXfOQjH+EXf/EX1/5cr9eZmLiO6v7XGYVgVg8QllcY2P8ZUnEVmRtf8ydj/nlY2A+ZIfAqFwe/83tBpaNkojIxJhAihEZpTYYGBQIUgiZJWjgUVBVbhWhgkT4wXEb1Ijm/ylHnFmaMcZLhCiOsUKTKisojhCCvWlhCc1JOoLSg4wzRaYdkXBPTkDhE2FLTJEsfdVaaVUIry1DWZetAinzCgNLKucnRSxiPkshBaxlyE5Qjh8N6G32cJC8bCDoERChhcJRNLOsMRAopIGkZDGYdpI6Jg9raz7iwx5WwDD733Bz75+pdPz8h11RotNbMLzW7o/rhNDz8D6RmDvCGpRXcRJJKfTPH+x+knNy89vlRrFlu+hxfbvZ6Zz163GTc1EHugQce4PDhw+s+duTIESYnL7875jgOjuNc9u9vJs6qzZ9YqvPa5T9nc3AaP7+DbSmHgmN0d7JSPhz7KlgJ2PJgN9M5G/zOV0ZZLfEVEgZfTd7PUPsQY3oZhwCTEIGmpHJ8Vd3OPjmDROKTZJh5BqmgdHdAJa0buJ0n+ba8nefUFpCggAFRRwiokeYZ9nHQ2sdDwTcZGyzS8DWVdkDkR6S1gWs79KeSGFEb2e8Quhn6khZZ1wK/cW5y9DLGo6wchcopdGqAY9UsJZWB/lfRVi3ioEO7tszO6CjaTJG3LFK2gZSCjGshAOF7GPb66dQLe1xv2TfMfK3D0aWujFbCNtY5A7xtpI58/E+hXUKkhii5STIyYLB5iIy/wLOjP8ExPcrxpRaLjQ5eGPOX355m/2y95xbQo8dNxE0d5P7Df/gPvPrVr+Z3fud3eM973sPjjz/OH/7hH/KHf/iHr/TRrpnz1eZ3uRW2iznqiWFKTZ9GEHHHRJ5C0u7e8EV3gAQ0yNXgN5DpDq0c+odzpcyVo9TsQTzb5xuNWxjSK4yzwqSxSFM7KEySMiIjA8o6BzpGC3DxqSobhYUtBHndYJ86wDx5PhO/hi9xH3ucEqaUTIsRTkb9DPvLvM50GHQido0UqXciwlhhySLZ5WXC8jT10ORYKaApaphS0pew2G3Nktl8V3fY5pGPXdJ4lJE7oHaG8MwzVLi366ItJb7MgEzhNJeZUaOkRZsznZAo1t0A7IWgNK9KrZAYfe1LTqe+5Kj+ngEmD/9/a2fLAPkULDUEJDfT751kZP4rfDp4O61AESnY1JdkNO/23AJ69LjJuKmD3N13383f/u3f8pGPfITf/M3fZPPmzXzsYx/jfe973yt9tGviQrX5vvYilg4Qdop+W1JqBRxfbtE35CHaJUjku0vYcXDum1yojBI0abQaPFY2CRsl7jVmyOo6Ce2RxkMhiEXMRFKTjsALDYqiRoxJTIytQ9pIPC2RQtBPjZa0+Xr0KpbtMR43JzGEINaaWMfM6n5KiUkS3iKCIrnzRvSrySni2aP4gGNKbNtAhC2M8gIH3D6GBx5isj57eeNRKWHkNvSpbzMaHsK3txDpJFbskfEXqaYH+GzrIe7pfI096jB1PUhD9iMijwG9QkkXmRl8iMmXmU697Kh+bXrd2QSwbTBFww8ptUMw+smVX2QHw8xZ4zTdEbYPZcgmbDKudc4toD/Z1b18qT5qjx49big3dZADePvb387b3/72V/oY15UL1eZDI0kkHazYIzDTZFyTciug2VZkVAQ4IE0w7PXfyE52Ve+DJspKMVvXGM1Z9uppUkZAWyRpxTYZ5ZEVbZQwWIgjAiVJ4JPAx8ci1oJQONhESB2B1sxRoGH04TpZMtKiEylCrRBCkHIMgkiyMvYDuMmvrFuD0H6LlaVZKvZOZGaYbFzH6FSIpU2pfx//zN0MzGf5YK6BvJQe5Fly46j8ApVGP7mgSiZcWfPfW05sZYf3HGk6DIoqm6Ml/NihZI9S7ruVb9r3d3/GDv2y/bFLjuqfp1WptabeiVAatg2mqa3MY5ePkgtm+XHZxjP66dhbmRdvoszmtUGU+syL1L/ySfKtUy/dR+3Ro8cN5aYPct+LXKg2X3eGKSemGGweoiSTxErTCiJqgUFamAivCvlxcHLrv9F5yiizqp+D4RC3RV/BFFAXORACJRVtnSBPnQgLM2hQEmlGxBJohYGmJRJUjEEcQtKqxorO8wS72W4sM5qIqSuDhG2g0Qi6FjqOKbntztuR+e3nBkcac7SVySGxhenJh/Av9M5zhhF+zLGlJgubE4xeTg9y9bW5uWFODb2Xw0stduYhNFOYsceeM3+FFywxb4yyYm9lymnSFy+TcnIcGH4Dwth0bdOOq1qVlVqFo1XZ7TcqRU7V2R4dJiGb1I0EcX4rKctmODjG0NwKz47+BOXkZsaiaXaUPoXUMQxNrR8iuhaHiR49elwxvSD3CnChvxxCcrz/QezWLKJ0mFLcRzO2ObigcSOPrBFhFbaf63sZkqxjIM5TRmktNTlk7uAuvoBB13gmwsQmQtNV5+9g00+FI2xhgDIuPh1samRWdSA92kaGk2yhTyqakUkqkyMoK2pe2PWGE2CZBg/u6OOBrUWQA+vWGxZq8E+Pt9mcy2IIsTa1eJaEDYv1DnVniNHLqb4oBaWjiP6tvG5bkSN+H4+2IkayNg+W/hzLr/BcPEbSMRnIJojsHMt6lP72CbZWvsnSyE+yGMVXb0mTm2AlMcn8wW+zJCfIJCwsaTBcmyH2W7S0oG4W8K0s2jIpmanuzy5/nbI7wdTy18iqOrr4KnBWs+9L9VF7pcsePW44vSD3CnAptfljeozHorfwKvUIE+oM43ZM0kjxrLiDfFwiefwEy6JIG5skAWNGmeLQKPlVZZSUbRK4RebFMK4IyeoWCe0RI1kUQyzpLEXKTLBCQTSYEaOoOForW0oUZdHHaTFOlQy32vM8Gk/wzSUX2+yeOdKKdidCCIEfa06sNLvDFVKu7bzZVhvHOnIugF/Aml2MY5+n+nKwGwSk0bXzWTkGKgCtmPJ+j19ITPIl+26OVyKc6jGWZZGEY9KftknYXTc5hKDhDFFon8JuzuGYxau2pFEIvhTfzTgH2CFnaTCEjCNyUQkpFTWdZFqO02oF9KcEjinXfvZI/XlS9RPo3Ng6KbGzZ7wmh4kePXpcMb0g9wpwVm1+ruZxdKnJcNbhyGKdhXCEo9a/YjJZ4Y4hk0Q6z6mwj5OHn+UN4RO8KrnMkAjxsXhRbeZU9CBv16NsoxuEpkaGqC3mmdZpEpbEIiISJjWVoOJFrJAldvL8c+qtPN0aIArr/Dv5WQaNBvOqyKLOYmmfMXmaRaOPb5n3kjAtbFMSKYUhJZPFNFuKSUqtsDtcUUyv63tdkV2M3Ak73gzf/gOYfw5CD8I2mAmYuBsG90LYolg7xE8klyjteh2OttGFcQ4vtVlq+F2dstWfERoJ0sES9VqFbVumrtqSZrbq8WRrgOr4e5HNhyl4p0gEZUzVYcUc4YgaZdZPIoKQajsk7ZgUUxZu2KG2Mk/KiBgbKl7k7g2s66P26NHjxtMLcq8Q54+wP3+mypmKh2sZDGZTjA4MEqYcAq05Nl9hztjE35ibqI/GFKyA0EhSs4c4utzGPi/QPHDX7ew/sYX+ygFOBRO4dgq0phMpbCmYMmrMJXdzNPkqLG8G0zT4vHgDe+IjTDDHBPNEwmba3s4/hq/imBrhwc05+pIOQaywDbmmAWmbxiX7XhcG8EvtoK3ZxSwfhiNfBDsDU6+BxYPQXkYbDkH5DG2ziEwNkC3uRK4cZqDyDKTSYIZsG0zT8CNKrWBtEd0ImlR8iTuYuyZLmrM903ZxG0+s9hXz7dPsmv0UR/0+aiqBaWgG0g5NP6LpRwi/QcKVDEyNM9kukLUvUyq9WoeJHj16XBW9IPcKcnaE/ZtHl/k/D59gc3+afNJaJyRcaQfkkxbtIGLZHEKv2sUIuEhOattQDusH3s/yV/4H22pnmOn04eGQM0N25xqMjm4l2vp6Xrv4dbR9hJVyjRO1mKPxMP9gvA7P7kc6GeZ0P9qRGK2AhbrPpkLqoqwkYRss1juX7HttyC5mdXmddgkGd4Nfg9jHc4qUOwKjWaLafIHTyVvpSznsyA+Qbyx2zUmr0xQGdnHHRJ5jS63uYEgnZDxaxCvu25Ap60txYc+07o5Ss4cIzzzNSHQYz5ok1pKUY1JI2fhhTKI+R7tvH+986w9jPnYa5p9HF9PU/fiyfdQePXrceHpB7hVGSsHWgTQDaRfTEOuCSRArolhhmwJDSmxj/aDCRYFGKSaH+jFf9Xamn/1nJuoLGKqOsFxq+b3kJ+9mbO4b3cAyNIbTP8npg9PcHZxhm67x98bbiIA7k4uk0jm+qVyWGz6NTnRRf2mtt3aZvtfL2sWsLq+v7clFAX4QMB8YRAqSZoqCblCVHksNTbMDd2daZPbe390ZXD5EITvG3ZsyNBp1qC8hUpOkXvtTyKHcJc+0US5Vcm34iq9yDz9qLTIanqblDuMaLlbcoj9cpJ4q8m37frY1IyZ2v4Pq4ilWDj7FbFy4bB+1R48eN55ekLsJuFwfyzYkphTU2yGjfcmu8sd5rAs0qxqQ9TMHKC+WEZGBzAyzmL+DaXsLR9oZ3vnMp8gmF8iM3wJCEIU+2skgcwV2N15gl/5TPLOAG0VEdZvtDPL3nTvxowKw3o9tXW/tMrykXcx5u2gA2rBpBEAckLATgERGHgkZ05+yaTUqzKLZMbgX2b9tbW1BNDpkTRe23NW1J7qK0Xyl9EXB+MKSqxdGHFWj/LV8Kw/aT3CrvUiy01jb3Tucfx0z7UFaQcQxOco/RG9mSn2NzWKWIS7dR+3Ro8eNpxfkvlNcqLR/nvrF5fpYoFFArGFLMXn5IY5wGh7/36j2CsebaebEKMMZRSFYIF17lProJHfk2+SWTnLcGOA2uuVOy5CYUmIHFXJxGSdqMp0coWKPYcUee/xTJPUCjy6naFh7Lt9buxpWd9HO7snVdZIyafooEymJqQKEVsTCwA9jimqFg9E2kqqfTQOZjbkybICz+qHHl5t0ohjXNNg6kObN+4bWlVwrbZ9YaerZrRwfvo3IrKzb/2v4MY4ZkrQMPvfcPIfjUdTOn6MULK593qX6qD169Lix9ILcd4JLKe1foH5xuT7Wa7cVWWz4lFohtmlcHGj2DCBXdRYb6W0sLZdJJySBaazb3zqRf4CMGTHbMah3InIJi6xjMGR1yJb3Y+ERChclrDX/t3ljE9vTZxhwnuHTra0s1vXFvbUr4fxAb6WgfxssvAADGUKlqck+hsMzZLwVhI7xRYLUygso7TItB/mkfxvPPTLN++/f1P3Z1ziCf75+6EjOJWknaAfROv3JDz24ldmqR8MP+bunZ5kue+RTLnVxbv/v/AcODefUbKSxbk/wUn3UHj163Fh6Qe5Gczml/UuoX1yuj3VipXn5IQ6rvNbbCkNNpBSWNHCiBoYK8c0UhdZJZjO3o00XI2oTxgpaK4iVI+xuz6LCBWItMKWNEbcIotya/9vo0FZ26xJTr0pRd0cu7q1dyftwkaVOHwgDlg/hKpuhYBqFRAuTGImnTXLRMhgFnnXvZZFJrFKTjz9y6poFkC/UDz2bJWdci7RjrulPfvD16bVgZN8t+fgjp15yatQL43VqNhfyUgM7PXr0uP70gtyN5PwJwguV9i+jfnGpPtZLDnEsTq/1tqxV6anh2gwZVUPqGLVq/u6GVRbtTRT9Qzh+GkrdvTTHcYg6NoQRkVZk6sepJl2GcoPr/N9GExGjQ5eQ39oIlwv0tdnuAnh6hNTpR9DUqZKimhxn0XdoxwJtJEjQZtQ/yXDxfm4dy3FsuXXJHb0r4UL90PO5nBHqRqZGZ8rt9Wo2F/ByAzs9evS4vvT+pd1ILpwgPJ8rVL+47BDHeb2trArYER0m8luEdhZlmJhxm0RUY3vpq3zNeh2vTy2TWvg2QeATJYoYcRtbRxiuQ5AaYzhsMZRewZncgRASOvVr2+vaSKA3LER+Eyq7nZXlJnZ7kWK4giUUcWzQVA77zJharoWUxetS8rtQP/RCLpdxvdzU6IaX4XMOVE73HAp69LjB9ILc9eb8vlN9rqvicTml/euhfpGb6Pb35p9DtCvkjIBFI4UKfUwjxtQ+JXsMr91mW/Y0wY63sfLUi8RBjPaW0EhSMkvSMHESKbAtCCrg17uC0Ne617WRQF86Ciomlxtkd+UYVWosaRuFiUNMn2gxSoNFfYoTTF6Xkt9F+qHnoxV24wxTUY1sJw0qvS4AvdTU6EaW4d82Ukc+8v++ZI+2R48e14dekLueXNh3UlH3ad1OQv4Smdr1UL+QsntzXD4EK0dwgFEiwjiEMKIjE1SsbZh9Q9xqLvKFmQqaYaLcAI7UdLSJ73fYGh5moL6Mk8x0feu8MtTnIdXfHc1/iSzjUiP4a2XEC1YFLsJOdh8MhMSbfQGv1aAmsoTESASxNFCmganKjDae5UThtdel5He5jKvQPsmW0tewyscoupqRp4owfWUB6KXKmm8bqTN59E831KPt0aPHtdMLcteLS/WdgiaUjsHpb4GVhNRA93O1hk6t+zUjt3SzmWthYCeM3wNHvwwqxpQGhm0TyRQpabHPXcYanOD4zBINK8JNpOhYNp6Rwo8UsZviULwDrecZ9+uIqNMNwGN3vuzu2UuN4G8bzFy0KnARQRsSfdQiA1V6hqoo4FgGsYIg6i7Do5pU3EFSfolMZ54j9ezL7ui9HJfKuMaiafbO/hXCK+MlhilsGkbY0VUFoEuWNXNON4O7gh5tjx49ro1ekLseXK7v5OZg8gE49tVuoNv8IMQdWDzQLQNKEywXHvnYtZWqlILqTDeguHkwTIQ0sAwX0NAu0ZnfT9XPo4e2UmlMk68d4GQ0RidSKK3RpFgItvLG/Cz2xA78V/1bhjftQBrGZX/sRkbwtxXPllMvYamjNdRnUSO38fB8hrv118gZHr4w0ZZEqhBXtWlphxk9zljUYX55hUKheG07equcn3GdWKpz2/KXsYIKQf9O9gymKaxKqF1tALqorFk5fd16tD169NgYvSB3PXipvlNqADbd1w1sywegehriqPu5g3vASlx7qao2A81FdHaMqFUmlCmkljh0JwWxM8jaLBVrC2FmgqfjB9i2eJKB6AQ1a5DASCCiFulgiUfLOR43Xk34bY/bDj7Cg5tdNg0PXTQYsdER/C2v34pcs9Q55yBO0O4G+lQ/c8Nv4KsHphkxp8jTIB13sIlxTcmKLnJCjSA6PhEeeycVd+4TTOlpqFzjwIZSbLPKbNndYXmghvtcBZHeSSbbt37i8noFoI2UbnsOBT16XFd6Qe568HI3r9x496bupEFIKO7oZlxnb6TXWqoKmjTaTU5H42TbFczmPIGRxrId+l1w4ybCsJhJ30IriHmqXuRZ4228yXqCsegMMixRCyUH2czjxqsZjhVvq/0VqTMnqB2OqA8VyI7vWZdtXtEI/sDObgA/z0Ec04XR23jUvo//+pUWh+dNNolJ9siTVOUkIxmDVDKJjEP2NU+Q9WdJGgluXfg9xAJdoebUwNUPbJzXP5VRh6GoA7XTkLv/4gcVuD4BaCOl255DQY8e15VekLsebOTmhepOLA7uvvhzLpUpvIQM2IWcagjKpYiyBi+zj0H/NKlgGd2q0PQEZPI4/WNYxVs4udDAbsyQcQSPGq9HA/V6jXll4iVGuD2xzBtqn2E46dNJDzPdkcQtza3zzyHPyzaveAR/YOdFUlxfnbf56BeOUG0HWIbJI8a9jKsSuWiF07Uik7rFzvAATlSjI10sy0GELdBAa7kb6K4mC75U/7QxDwsvwsy30Zvuoy7z59wDXBNxPQJQ7uVLtz2Hgh49ri+9IHc92MjNKzcG9YWNlao2IAN2FqU0nz9tMibH2cNJ2ka31GbpCIcmOoygVgMR8Y703zNar+E3V8hZEZF0OMkYf+vfTtkaZjxl8+rgMbKqxoK9k6RlkRYxi76ikd5Grnl8Ldt8yRF8LrP0fJ6DeBQpPvHpJ2h0Qjb3J5mv+RwLxvm0+Q5eJx5jNJ5htHEax/KZE2NkzAilfTruII4lEe1S930dvw9WDm88C75c/zQ7Bn2bCVeOsnD0eQ6Ye4i0xpSSvoTFbmuWzOa7ri0AnZ2Erc2ilg/StIcIpIutOqSDRWSq+LKTrD169LgyekHuenDezetyfSd2/BA891cvX6pqLsGBz25sxFwpFqaP0j7zIvXCrajKaaaqjyJ0jBn73YxHGsQawqBN36kv8Gpl8Ii5nZN6kETss1kd4yflAl9NvwvTSDISzrAiByms3mhNQxL5EaHS67LNsfymjTuAX4KnZyqcKrXoT9lIKSmkLII45lA8wknjXezRh8iov+U4/XRwuSN8kbnYQfkeliHJ2S7J+jKWX0dcSb/scv1TIaimt+AtzJLsnGYwP0gnMYgIWxjlBQ64fQwPPMTktQaggZ2c3v6TzD32KczZo8jYRxkOUWE7o7e9m8ne+kCPHteVXpC7XrxE34ldb+9mGbNPvXS2N3IbnHkS2iV0cWfXcLMdYRkJssWdiPMzlpXD8Myfk5k9yFuWG8hEnnTQXe42VQdDBYTSJpQuddKMByuAJuH2scuo09QjZBNpgriPodpRXh1+m+eNe7rrA4khHLN7M49ihSklliHXZZtX5AB+CUqtgDBWq24LkLBNhrMu5VaIF8bUtUtHWyzHOcYcDyfWhNKmE8bUOyGVlqYoW8yfWGBwaJRNuoPYSL/svP6p1pp6J1otSwqONGw8ew975AGyqkay4xNLm1L/Pv6ZuxmYz/LBHfqapjqPLTX4+EGLivEudm6qkZM+NeVw2MvRd9DipwuNa9Lk7NGjx3p6Qe56com+07pe2stle2N3wnN/RcUa4OjpatfxWnWDTF/S7rpjLx+BZ/8MnvwENBdxhUV/DMqrko9WaJMkUBYtsnSUhVSKgq4gRAvEqhK+aDHpFpgLh0k7JnV7kEH/NIHaQWw4DLlxNwhrTaMTMZR1ybom+I11fakNOYBfhv6UjWVIvCAm43bfn4RtMmoZBJHCameJWjb9dkwhmyauGPiBT6xNTCnQcUA7huPlkJPVGaqZkFxDMDX0MtdotX9aqVU4WpVr77HSUPdCxhMuy85OXhh+F76ZWbPSEX58zVJi6yZSh7IokaOy+nfbsvrcRGrPhqdHj+tGL8hdb87rO52PUppZY4Jw2/spTH+JXPMU4sJsT0U0Wg2eadi0Q8i4JpZhEsaKpUaHZgfutedILfwv8GqQGcU0LETcwO6sIJUPSmMTsWL0YxOSj0s4BMQahJAIaSIij+3xcZSbYSVMExsJUizhyxSdzFbG4uMshikafkzCNtg6kER0qrByBIbXL6+/rAP4Zbhzoo+p/hRHlhqkbAO5+iAghMAyBMf8PmaMCR6056jLLazoNBlVIhI5gliTx2OFPrSVZjCa5sn2Nk48F/DT2ZfJhHITrCQmmT/4bZbkBJmEhWWY1L0Qz48w4nnO9O9jLntbdxJ2lYTNNUuJXY0odI8ePa6NXpD7DrBeFQQSxpu5Lds8t4OWHesuRS8fYanaRoUO/dnCWknTNg36U5JWvUynMUPS9BCZMbAcBJDPpFkOY5JRDYMIixhbeSR0E4OYDg4WEUppgkCBMvA8j0x0Ai9/B7sKNolokFcPbOGFlT6ypUXyrRPks2NMZhX5hW91dTgNsxuUL1hef0kH8MtgmpIPPDDFR//pENMVj/6UvVbuLLUCEo7FkcTreMD8Etn2SeZ0gYRskovLKBQdkixSYEKdoWHlecy8j6Dmv2wmpBB8Kb6bcfazh2N0wjy+TiMkJI1ZVnSGh9VdjCI4/ztcDymxqxWF7tGjx9XTC3I3mMupgjxa1hz2bf6tKDH5widh5SiddhOnOcMtnGI+vBPPLqz7XpN6jjCKiWwXy3TWPp6wDbLZNO3lJEnaREhSuo5DSIy9WnoUKK2J4xBlpomdPnJxnTPNCo1WhfTue/nJH3wNszWfcHGim22WnkPMH+xqcObGYHBvV6HlOuksvnF3t7b4iUdOcarUotwKsAzJzqEMb711hMdPFPiWyLK1/HVE8whVkSNNDAjKIofUcMLaytPJBzgZDLMvab9sJjRb9Zgut9jsJEm1jtDfPglAx8zy5P+/vTuPjqq8/wf+vnf2PZkkk2SSkIQtAQLITliEShtQsdpFcPlFoNtXf0BFPD+BLkf09By0LV2ttqKN9NtWu4DWKlVRCVAxgBBlD4QkELJN1lkzd7bn90eYIUMyyUy2mQyf1zlz2rlz7+V55jHzmefO534e6RTs9X0JJiEVGqcHWkVX1mg4iTThGFBGKiFkUOivaRj1VxXEeu0srAffgS/BDV6XCYfIgFqpC/muM8jp+BR1mttgladB4u2ERmiCR6KExZ2ABN4FidcFdAt0UrEIHZJEaLxOeHwiMPCQQ4AADiL4IEACETwQgcEMBcScCHLmwjiuDleQijPeOVjN8V3BQT8LmDgd+HA74HZ2BTK5btA3r/dWyHnZpFQsmZCCk7XtaLW7kKSSYmZWInieQ6vVhdP1aWhOK0aVvQIKOFBr5SCT8BB5OsFkGog0mRB8gJj3QSMXo83u6nMm5G46jwWt/4ReZMc17Uzw8ELqsUHh7kCKyAulV4yOTjfaHS4oZeEn0oTocNDvsxm6zEFlpBJCIkdBboh1/yC3dLpRabL2/hsMGBZ5yuC1tcCaOQs6mRQSnxsWmRGVUhVyHF8g2XEZYp8Ar0gGkyYf1ZI8TPK8A8jau5JARDL4r6nxHAfwEji9UlyGAW5IoIENErjgYhJYoIaFU0PKc5D5XJC72sBzPjRrJuKs7i5U2lOwqPsMyFLXdcN1apg3r/ejv0LOc3OTehzjz95ssAqwy9PQaa2DAlbY3XK0iccgVa2EnONhc7pg0Moh5rm+Z0I+H/RXP4DVZ0GjYiykkq79nJIEWOQZSHJUYaW0HLXcSnS6vKhpsYedSNNDL/c68skTsNJ4B+rN0gFlpBJCIkdBbgjd/EEuuH2obXNgdk5ij8tTWqERqa6raBIlI8PHurbJxUhUStFk1YDXzYHW1YQzqfeiQ5kNszQVlSYbJugvQsqfAxxuwNECyDSASAIZcyHB04wrXj1+5F4LN6fAGtE+5HG1qIYRnT4JPGI1dHIJRC4Lpkmb0KGdhP+O+b/wgIfQYg+eAQ1hncWwCjn3EkD82ZvHjpVB3roPSlcVOOaEwEnRLs7Gcd8CXLAboZCKMTZZhUaL0PdMyFwLna0GPk0GrJ1eJIlFN2anHAer1IBkWw1WT+axZN4kdLq9YSfSBAm1EnrDKWSb6/C9ScV4p14XcUYqISRyoyrI7dixAz/4wQ/w+OOP41e/+lW0mxOktw/yJksnzjd4cPJqO+bk6G9UtQcg8TrAeZzwipK77kFDV4bdeIMKVsGNJqcYcvCwSJJQhxQ0NDugV8uRPumb4C/9L3wAXA4r4LBC5HOBeVxoYIl40fs1VLJsiHkOf8dyPOTbh0RYYWd6MOaF2CMgGe3okGfiXOo9AC9Gp9PdcwY0RHUWwy7kHCJZZDy7hrHONyBoTGhNSMEFqwJOsxmZwiUkek2Q6r4BpExEq93V/0zIZQPndSI7bQza6qxotbugkYu7bnj3+tDuFCFL5OlKCEoKEdz7E8ZK6NnNB/DYkk2oMwsRZaQSQiI3aoLc8ePH8fLLL2PatGnRbkoPoT7I03UKZCcpUdViR6XJhjk50sBrLl4Bq0cMg8rbdQ/adXqVDDOyEnC1vgkOmxhVFg52hTvwTT/boMEVAPVl/4TEcREyjwgcx6OSZeB1biE6ksZCaRbQ6fai0mfE/7IVWMYdx1iuHjJvOzyCFOclY+FMWgGfMjfkb0E+bSYsqhzwjafAkvOhVUhuXHLtr85it9+iGjvFqDLZB5Y2bzoPvL8NfMslKCRKZIpakaFJQoM+CxctyciwVeJ231EcZhPCmwldD9x6qQczshJQabJ33ScneCDmeWSoGLJVemjT+rvZrg/hrITefBG85Rqy9LScDiHDbVQEOZvNhocffhi7du3CT37yk2g3p4dQ9z91zcw0aLO7cKXVgcxEJQxaGRyCB180y5EsG4OFfB3AMoM+EPVKKRJ0NliyZ+HhaQuhkkkD3/R7q5hR38njrSoeDg9DjkiE7CQl6js64XT7UOXLQhUzIt3XAgXrhEushJM3IqFZjjzejk63r8cMyH/Z1do0CQvazkLbcgKCMg3JiXqkyDx911m86bcolVuExW0JaJMVwYyxPd67kGnzzRXAoZ1d51HquwKU1wXO1gSjxIL0rNmwuvMx3tGGufNVSBszrv+ZULcao/qUfMzJkd6oeMJz0NgqwRtvG1x9SlpOh5CYMioqwa5fvx533303vvzlL0e7Kb26cf9Tz+8MepUUM7MTr2f+CTh9zYyj1e1otrlRJinERasUl8+fQEd7S1eqvtMCNF8Ar0pGwsyvIT89AVl6JXieC5oxjk/VwqvNwhVxDq7BAIlYDMYYWu0CFBIRjAkKiPiu2wYADtdgQJ1sLKRJuVArpGi1CbjQaEOBURv0m5j/suuZejNciRNwInUVzvqy0drciCsXv8CZymoc7czClfHFPW8f8P8W1XCqKzAlTQCnSkKuqxLT6l6H/nq6fne9ps37L/nZWwCpquvBcV3ZpMpkwN0JrvUitBotdBIvjApPeJf6/DVGlUnwNZ+H1dwGt9sFqcfWFeCGokBy98u8vaHldAgZUTE/k3vjjTdw8uRJHD9+PKz9BUGAIAiB5xaLZbiaFtDf/U8KiQiT07VYPDEFH55vAscBY5PVUMlS8YVZCWPjRxhztRYTkhqhUalvVEC5KYh0nzG2O1y4bLKjzeFCp9sDi9MNBsDc6YFB44PoeuUQqVgCn4/B6fFhXIoKi8YnwyZ40e5wodPtxT3TjYHfn26+7NrucOHj1kQ4ua8hR9cG5rRBrNCC4zOhv7nOYojfojTaRAgJEyFqq8DY1lK0KbIDlURCps13u+TH7CYIggAfLwXPcZCJeXAyDWBvBWxNkQeM4S6QTMvpEBJTYjrI1dbW4vHHH8cHH3wAuVwe1jE7duzAM888M8wtC5aRoOj3/qcCoxb1HZ1gDJiemRDYR0icgCrdWByvr8LUBB6rFk4CnzCm19mEf8bodPM4XWdGp8sLtVwMtUwGweOD2eGG2+tFk8UJnUICH2MQcxwET9c9ZFOMOvA8D62Ch1ImQk2LHQ63N3D+7kEUAC6b7Oh0eaFXy2HhMiCIvXC6fZivU6LJelN1ke6BCV11IP3rsY1LVeN8ZyokbZfAa6/BpcnsO23++iW/NlkW7IISkk4TLJwWPM9DIRFBrxRD4XV3BYzcxREFjGEvkBzOihS0nA4hIyamg9yJEydgMpkwa9aswDav14tDhw7hhRdegCAIEIlEQcds27YNmzdvDjy3WCzIyhreb83hVOSfnpWAvSfrek/A4EWQJefgmMONhTAgK8QHoEoqhkzEo6LR2hV8VDcSWQxqOdweBqvTDcYAt8cHl8cHFxjUcjHm5SYhSX0ju7O3y4Tdy05ZnR60OVxQy28EbYmIh+36sjs9Ekb8gcklRmV9e4/i0saUZHib2+Gym1EjJPadNi9Vw+IR4ZypCR6WjgliC/TMik5OCYfgBQQrUiQOSFUpEQWMESuQ3N+KFLScDiEjJqaD3LJly3D69OmgbevWrUN+fj62bNnSI8ABgEwmg0wm67F9uPVXkd/jY4OuW5iRoECKRoaj1W1I0UiDgqVcwkMlFUEm5iDiOBi0coDr+k1u4bgkJGtuzIRDXSbsftnV7fEgydOANJEHgkeJFpEBbm/XIqJSEd+zvf7AdLURHV55j+LSLkcnpibq8PDCAljk6X2mzXvUGThhT4HSfgYe7QQ0owCJzitQuDug4Dzg3A40KnKRufAJ8BEEjBEtkNzfihSEkBER00FOo9GgoKAgaJtKpUJSUlKP7bGgr4r8tW2OQdct5MGwyODARe4qXA4lOpXpEIu7AonN6YFOKcUUowZNFidWzRkDjUyMfacb0OZwQyYR9Vtdw3/ZtaXmFJa6P8VS4RLkLje8vAx14kx86JsDZ+IEaORi2ARPUHt92kycdaVB0XkaooQbpb6kYhGSlBykHTU4r56KuVnjYezly4n/toOrjU3493krypon4Zu+aiS2VaBOkop21WQkS9uhEZpgUeiwL+EhPCzNQSRz9JEukOwDhzqWAjtLhIqJkQFudGR6ERJHYjrIjUahKvKH87tdn9U6rqfmz6o/DwVvgt0rRrU1A4fF81AvyYZBK8e4FDUkIg6JShkKjDpk6ZVI08nDXu+N5zmsNFrQePYtiJ3tqBPp0eARQ8N7kNF5Ed8Um1Cp+T/wILFHe+vMAg7yc/FlRR2SOqthlaXCLVIE6m5aFHqU8nORYRZ6vj/X+2a5dg7mpjZMc/GQsDScUc3HGHc1Ul1XIXY3w6NW41ribFQk3I5ahyHiYDSSBZL7K2NGCBkZoy7IlZaWDuxA03nAmxa1S0aDWkm7W5kopc4IJOngsXRgLmoxWWzBZ4bVEBLHAwAumWxBwSei9d58PmSbPoZe58Z5ZR5gdcJjc6HVzUOQ5WCyuB4yy2HscadCr5YHtdfu8uCqKAunMh7ExPaD0HfWQO1qhpeXwqTJDx2YrvfN52jBZZsa9ZwRerUH+R3VGCO0Yb/qXjiVd8DlMEMhTUCOMQ82lw8ysTviYDToLxphGmgZM0LI0Bt1QW6gLB/9HCKdFor0SeAn3xOVH/8HtJL2Tan5HMdhXKqAcpcP1YISY73XUGA7jIOKMWiw9F7aKuz13q5nSGoMOZgj1cDi9KDFJqC+oxN2wQOTJxlaWxUKszpROCs/qL3+WdI1cRbMmWugFRoh8ToCK2tbBW/PwNStb1b1eJia26BW8IBIgWZpLpKdVZgllOFt9So4VSlwCj7onV40WfupURnCoL5ohGmwZcwIIUPrlglyZR06JDuBzJYjSDbVIGHpxqgFuohW0u6lTJS/9FelyY5mazLkHZXgpNcwNXPC4Ir8dqvWwXEcdAoJdAoJxiaruiqDuLVQWmsw6zY9+Jv+jaBZkkENi9wYeC2c++HcbgaPzweJSAxwHBLVUrR7UpDsrIFW2gi3JA1OtxeVzTZkJ6kGHIwG9EUjArT6NyGx5ZYJcjqlHJxUggudcmTX1sLz2R4kL98atUuX3T/gfD6G2jZH70EvRJkovUrWVZbKoQDX1onseQYYxodR2qovIYoy+wMeuE5AqQLkPQPBgGZJ3fomuX67gdvrg1QsgkIqBqdLgNzSDt5tR6sgwOsDphh1uH925qCCUcRfNCJAq38TEltumSDHcVxXpp+aR5M1CZLqM9B3XAWvz4lqu/pNUOhjNQCO46ATuQG1GtqUZGCwH9KDrNYR8SypW980Mg2UUhGarQL0KilkYh5akRtytRr5hnTYLEpMNmrx/4ryIBYP/otJ2JdwI0SrfxMSW269vzSOg1ShhtPeClNLK9KiGOTCSlBIvhF4WLIaFsEbqCSilYnADWWZqCGo1hHRLOl6ULXWnMB5dwbaHS6Yr6/KrZaKMFlSj0b1JFwUEpCdJMeq2VlDEuCG00gltxBCwnPrBTkACggQIIEd4ZUKGw5hJygsGQd+0j3oaKpBy/kTqPPq4YAUSriQIWpDcqoRCUNZJmoIqnWEPUvieVwx3IHGL05B7KyAQZUGdaIcNqsZaqcJl91anNDMQUFm4qhZUHQkklsIIeG79YIcY1A5m1AlHw9jUvTW84okQUFgRrzjWY4c3wHkcnVIhRsCJDjjy0WNZylWMiPGD2XjRqhah8/H8E69Fi2q+3CH6hiSOq8g0dcGj1qChsRpOOKbjcSMKfje4rExP4PrbriTWwgh4btlgpzC1QqpRAuN0IQGnxrW7OXISBzg6s9DINwEBavTjQMXmlHhNcKX9120upoCqflmaSouNTsgHY6UdJ4HEof3S4A/0Cek5OEz2eQetx2oBS+arQIaLM5Rl4k4nMkthJDw3TJBLs16BjZRPs5xY1GTvhQr586P6gdOuAkKNsFzY8bHi4JS8zlgVKekBwV6jgvqGwAopBjVmYjDldxCCAnfLRPk6lgKPtfcDXFOIVYWpEf9klG4CQpquThuU9IjyUT0+RjNigghEbtlgpxMrsD9C6cgdcKEmPhwDDdBQSYWRSUlfSSCSriBvtPlxUull6kOJCEkYrdMkHP4xGAyTUwEOL/uCQpVJgvcrQ3Qck4sMKSgcOZ4jDdo4POxEU9JH6niwuEE+rw0DXZ/SnUgCSEDc8sEuQZxJtJlqTD2v+uIGm/QYOyUOljc74NruQQJc0HhUIGrOAbw94BPyRvRlPSRLi7cVybilycbsP+siepAEkIG7JYJchd1C7BYJo12M3pqrgB/7A9IcLQCSRld5bvc9q6qI+Y6YP6jGG/IG5GU9GgVFw6ViUh1IAkhg3XLBDlNxqTYqzJx0woDgTJaMm1XWa3mC8CFd4CkCSOSkh7NoNJbJiLVgSSEDNYtE+TumGSIvUtavawwEMBxXWW1mi927ZeYPewp6bEWVKgOJCFksEZPGYlBGpcSg8kJIVYYCJAqu1532UakOd2DSm9GOqj4sy8bzE4wxoJe8yfdjDeoY2+GTgiJGbdMkItJ3VcY6I3L0fW6VD0izYm1oOLPvtSrpLhkssHqdMPj88HqdOOSyUZ1IAkh/aIgF03+pW3MdV1L2XTnX9omZeLQrDAQhlgMKv7sywKjDh0ON2pa7OhwuDE1Q0e3DxBC+kU/ZkTTECxtM9Risbgw1YEkhAwUx26+LhVnLBYLdDodzGYztFpt/wdEQ3PFjaVtPM6uS5QpE8Ne2mY4UBktQkisGMznOM3kYsEILW0TCSouTAiJBxTkYsUILG1DCCG3Gko8IYQQErcoyBFCCIlbFOQIIYTELQpyhBBC4hYFOUIIIXGLghwhhJC4RUGOEEJI3KL75GIEVRghhJChF9NBbseOHdi7dy8uXLgAhUKBBQsW4Pnnn0deXnRKXQ2XSpM1UCvS6fFCLhZhXIoaywuiUyuSEELiRUxfrjx48CDWr1+PsrIy7N+/Hx6PB0VFRbDbQyxNMwpVmqwo+aQGZ+rNSFBKMDZZjQSlBGfqzSj5pAaVJmu0m0gIIaNWTM/k3nvvvaDnJSUlMBgMOHHiBG6//fYotWro+HwM759pQpvdhQkGNbjrq4Nr5BKoZWJcMtnwwdkmjE1W06VLQggZgJgOcjczm80AAL1eH3IfQRAgCELgucViGfZ2DVRdRycuN9uQrpMHApwfx3FI18lRabKhrqOTiiUTQsgAxPTlyu4YY9i8eTMWLVqEgoKCkPvt2LEDOp0u8MjKGpkFRwfC7vLA6fFCKe39u4ZCKoLg8cLu8oxwywghJD6MmiC3YcMGnDp1Cq+//nqf+23btg1msznwqK2tHaEWRk4lFUMuFsERIoh1uryQiUVQhQiChBBC+jYqPj03btyIt99+G4cOHUJmZmaf+8pkMshkshFq2eBkJCgwLkWNM/VmqGXioEuWjDE0mJ2YmqFDRoIiiq0khJDRK6ZncowxbNiwAXv37sXHH3+M3NzcaDdpSPE8h+UFqdCrpLhkssHqdMPj88HqdOOSyQa9SoqiKamUdEIIIQMU0zO59evX469//Sv+9a9/QaPRoLGxEQCg0+mgUMTH7Ga8QYN1C3MC98k1WZyQiUWYmqFD0RS6T44QQgaDY4yxaDcilJszDv1KSkqwdu3asM5hsVig0+lgNpuh1WqHsHVDiyqeEEJI7wbzOR7TM7kYjr9Djuc5uk2AEEKGWEz/JkcIIYQMBgU5QgghcYuCHCGEkLhFQY4QQkjcoiBHCCEkblGQI4QQErcoyBFCCIlbFOQIIYTELQpyhBBC4hYFOUIIIXGLghwhhJC4RUGOEEJI3KIgRwghJG5RkCOEEBK3KMgRQgiJWxTkCCGExC0KcoQQQuIWBTlCCCFxi4IcIYSQuEVBjhBCSNyiIEcIISRuUZAjhBAStyjIEUIIiVsU5AghhMQtCnKEEELiFgU5QgghcYuCHCGEkLhFQY4QQkjcoiBHCCEkblGQI4QQErdGRZB78cUXkZubC7lcjlmzZuHw4cPRbhIhhJBRIOaD3N/+9jds2rQJP/zhD1FeXo7FixfjzjvvxNWrV6PdNEIIITGOY4yxaDeiL/PmzcPMmTPx0ksvBbZNmjQJ9913H3bs2NHv8RaLBTqdDmazGVqtdjibSgghZBgM5nNcPExtGhIulwsnTpzA1q1bg7YXFRXhyJEjvR4jCAIEQQg8N5vNALreJEIIIaOP//N7IHOymA5yLS0t8Hq9SE1NDdqempqKxsbGXo/ZsWMHnnnmmR7bs7KyhqWNhBBCRobVaoVOp4vomJgOcn4cxwU9Z4z12Oa3bds2bN68OfC8o6MD2dnZuHr1asRvTqyxWCzIyspCbW1tXFx6jaf+UF9iVzz151btC2MMVqsVRqMx4n8npoNccnIyRCJRj1mbyWTqMbvzk8lkkMlkPbbrdLpR/x+Fn1arjZu+APHVH+pL7Iqn/tyKfRnoJCWmsyulUilmzZqF/fv3B23fv38/FixYEKVWEUIIGS1ieiYHAJs3b0ZxcTFmz56NwsJCvPzyy7h69SoeffTRaDeNEEJIjIv5ILd69Wq0trbi2WefRUNDAwoKCrBv3z5kZ2eHdbxMJsPTTz/d6yXM0Sae+gLEV3+oL7ErnvpDfYlczN8nRwghhAxUTP8mRwghhAwGBTlCCCFxi4IcIYSQuEVBjhBCSNyKiyAX6VI8Bw8exKxZsyCXyzF27Fj8/ve/H6GWhrZjxw7MmTMHGo0GBoMB9913HyoqKvo8prS0FBzH9XhcuHBhhFod2vbt23u0Ky0trc9jYnFcACAnJ6fX93n9+vW97h9L43Lo0CHcc889MBqN4DgOb731VtDrjDFs374dRqMRCoUCS5cuxdmzZ/s97549ezB58mTIZDJMnjwZb7755jD1IFhf/XG73diyZQumTp0KlUoFo9GIRx55BPX19X2e87XXXut1vJxOZ9T6AgBr167t0ab58+f3e95ojE1/fent/eU4Dj/72c9CnnOoxmXUB7lIl+Kprq7GXXfdhcWLF6O8vBw/+MEP8P3vfx979uwZ4ZYHO3jwINavX4+ysjLs378fHo8HRUVFsNvt/R5bUVGBhoaGwGPChAkj0OL+TZkyJahdp0+fDrlvrI4LABw/fjyoH/7iBPfff3+fx8XCuNjtdkyfPh0vvPBCr6//9Kc/xS9+8Qu88MILOH78ONLS0vCVr3wFVqs15Dk//fRTrF69GsXFxfjiiy9QXFyMVatW4ejRo8PVjYC++uNwOHDy5En8+Mc/xsmTJ7F3715cvHgRX/3qV/s9r1arDRqrhoYGyOXy4ehCQH9jAwArVqwIatO+ffv6PGe0xqa/vtz83v7xj38Ex3H4xje+0ed5h2Rc2Cg3d+5c9uijjwZty8/PZ1u3bu11/6eeeorl5+cHbfuf//kfNn/+/GFr40CYTCYGgB08eDDkPgcOHGAAWHt7+8g1LExPP/00mz59etj7j5ZxYYyxxx9/nI0bN475fL5eX4/VcQHA3nzzzcBzn8/H0tLS2HPPPRfY5nQ6mU6nY7///e9DnmfVqlVsxYoVQduWL1/OHnjggSFvc19u7k9vjh07xgCwK1euhNynpKSE6XS6oW1chHrry5o1a9i9994b0XliYWzCGZd7772X3XHHHX3uM1TjMqpncv6leIqKioK297UUz6efftpj/+XLl+Ozzz6D2+0etrZGyr9EkF6v73ffGTNmID09HcuWLcOBAweGu2lhu3TpEoxGI3Jzc/HAAw+gqqoq5L6jZVxcLhf+/Oc/41vf+lbIIuF+sTouftXV1WhsbAx632UyGZYsWRLy7wcIPVZ9HRMtZrMZHMchISGhz/1sNhuys7ORmZmJlStXory8fGQa2I/S0lIYDAZMnDgR3/3ud2EymfrcfzSMTVNTE9599118+9vf7nffoRiXUR3kBrIUT2NjY6/7ezwetLS0DFtbI8EYw+bNm7Fo0SIUFBSE3C89PR0vv/wy9uzZg7179yIvLw/Lli3DoUOHRrC1vZs3bx7+9Kc/4f3338euXbvQ2NiIBQsWoLW1tdf9R8O4AMBbb72Fjo4OrF27NuQ+sTwu3fn/RiL5+/EfF+kx0eB0OrF161Y89NBDfRYAzs/Px2uvvYa3334br7/+OuRyORYuXIhLly6NYGt7uvPOO/GXv/wFH3/8MXbu3Injx4/jjjvuCFov82ajYWx2794NjUaDr3/9633uN1TjEvNlvcIRyVI8ofbvbXu0bNiwAadOncJ///vfPvfLy8tDXl5e4HlhYSFqa2vx85//HLfffvtwN7NPd955Z+D/T506FYWFhRg3bhx2794dtBRSd7E+LgDw6quv4s477+xzyY9YHpfeRPr3M9BjRpLb7cYDDzwAn8+HF198sc9958+fH5TQsXDhQsycORO//e1v8Zvf/Ga4mxrS6tWrA/+/oKAAs2fPRnZ2Nt59990+A0Ssj80f//hHPPzww/3+tjZU4zKqZ3IDWYonLS2t1/3FYjGSkpKGra3h2rhxI95++20cOHAAmZmZER8/f/78qH8D7Y1KpcLUqVNDti3WxwUArly5gg8//BDf+c53Ij42FsfFn+0ayd+P/7hIjxlJbrcbq1atQnV1Nfbv3x/xkjQ8z2POnDkxN17p6enIzs7us12xPjaHDx9GRUXFgP6GBjouozrIDWQpnsLCwh77f/DBB5g9ezYkEsmwtbU/jDFs2LABe/fuxccff4zc3NwBnae8vBzp6elD3LrBEwQB58+fD9m2WB2X7kpKSmAwGHD33XdHfGwsjktubi7S0tKC3neXy4WDBw/2uZRVqLGKheWv/AHu0qVL+PDDDwf0BYkxhs8//zzmxqu1tRW1tbV9tiuWxwbouhIya9YsTJ8+PeJjBzwug05dibI33niDSSQS9uqrr7Jz586xTZs2MZVKxWpqahhjjG3dupUVFxcH9q+qqmJKpZI98cQT7Ny5c+zVV19lEomE/fOf/4xWFxhjjD322GNMp9Ox0tJS1tDQEHg4HI7APjf35Ze//CV788032cWLF9mZM2fY1q1bGQC2Z8+eaHQhyJNPPslKS0tZVVUVKysrYytXrmQajWbUjYuf1+tlY8aMYVu2bOnxWiyPi9VqZeXl5ay8vJwBYL/4xS9YeXl5INvwueeeYzqdju3du5edPn2aPfjggyw9PZ1ZLJbAOYqLi4OylT/55BMmEonYc889x86fP8+ee+45JhaLWVlZWVT743a72Ve/+lWWmZnJPv/886C/I0EQQvZn+/bt7L333mOXL19m5eXlbN26dUwsFrOjR49GrS9Wq5U9+eST7MiRI6y6upodOHCAFRYWsoyMjJgcm/7+O2OMMbPZzJRKJXvppZd6PcdwjcuoD3KMMfa73/2OZWdnM6lUymbOnBmUdr9mzRq2ZMmSoP1LS0vZjBkzmFQqZTk5OSHf9JEEoNdHSUlJYJ+b+/L888+zcePGMblczhITE9miRYvYu+++O/KN78Xq1atZeno6k0gkzGg0sq9//evs7NmzgddHy7j4vf/++wwAq6io6PFaLI+L/3aGmx9r1qxhjHXdRvD000+ztLQ0JpPJ2O23385Onz4ddI4lS5YE9vf7xz/+wfLy8phEImH5+fkjFsD76k91dXXIv6MDBw6E7M+mTZvYmDFjmFQqZSkpKayoqIgdOXIkqn1xOBysqKiIpaSkMIlEwsaMGcPWrFnDrl69GnSOWBmb/v47Y4yxP/zhD0yhULCOjo5ezzFc40JL7RBCCIlbo/o3OUIIIaQvFOQIIYTE6WS/8gAABcJJREFULQpyhBBC4hYFOUIIIXGLghwhhJC4RUGOEEJI3KIgRwghJG5RkCMkDqxduxb33XdftJtBSMyhIEdImNauXQuO43o8VqxYEe2m4de//jVee+21aDcDQFcV/LfeeivazSAEQJwstUPISFmxYgVKSkqCtslksii1BvB6veA4DjqdLmptICSW0UyOkAjIZDKkpaUFPRITE1FaWgqpVIrDhw8H9t25cyeSk5PR0NAAAFi6dCk2bNiADRs2ICEhAUlJSfjRj36E7pX1XC4XnnrqKWRkZEClUmHevHkoLS0NvP7aa68hISEB77zzDiZPngyZTIYrV670uFy5dOlSbNy4EZs2bUJiYiJSU1Px8ssvw263Y926ddBoNBg3bhz+85//BPXv3LlzuOuuu6BWq5Gamori4uKgRWuXLl2K73//+3jqqaeg1+uRlpaG7du3B17PyckBAHzta18Dx3GB54RECwU5QobA0qVLsWnTJhQXF8NsNuOLL77AD3/4Q+zatStoaZDdu3dDLBbj6NGj+M1vfoNf/vKXeOWVVwKvr1u3Dp988gneeOMNnDp1Cvfffz9WrFgRtIaWw+HAjh078Morr+Ds2bMwGAy9tmn37t1ITk7GsWPHsHHjRjz22GO4//77sWDBApw8eRLLly9HcXExHA4HAKChoQFLlizBbbfdhs8++wzvvfcempqasGrVqh7nValUOHr0KH7605/i2WefDSzvcvz4cQBdyxI1NDQEnhMSNRGXdCbkFrVmzRomEomYSqUKejz77LOMMcYEQWAzZsxgq1atYlOmTGHf+c53go5fsmQJmzRpEvP5fIFtW7ZsYZMmTWKMMVZZWck4jmN1dXVBxy1btoxt27aNMcZYSUkJA8A+//zzHm279957g/6tRYsWBZ57PB6mUqmClgRqaGhgANinn37KGGPsxz/+MSsqKgo6b21tbdDqCzeflzHG5syZE7QEEQD25ptvhngXCRlZ9JscIRH40pe+hJdeeilom16vB9C1iO+f//xnTJs2DdnZ2fjVr37V4/j58+eD47jA88LCQuzcuRNerxcnT54EYwwTJ04MOkYQhKDFP6VSKaZNm9ZvW7vvIxKJkJSUhKlTpwa2+VeLNplMAIATJ07gwIEDUKvVPc51+fLlQLtu/rfT09MD5yAk1lCQIyQCKpUK48ePD/n6kSNHAABtbW1oa2uDSqUK+9w+nw8ikQgnTpyASCQKeq174FEoFEGBMpSbV1TnOC5om/8cPp8v8L/33HMPnn/++R7n6n7Jtbfz+s9BSKyhIEfIELl8+TKeeOIJ7Nq1C3//+9/xyCOP4KOPPgLP3/jpu6ysLOiYsrIyTJgwASKRCDNmzIDX64XJZMLixYtHuvmYOXMm9uzZg5ycHIjFA/9okEgk8Hq9Q9gyQgaOEk8IiYAgCGhsbAx6tLS0wOv1ori4GEVFRVi3bh1KSkpw5swZ7Ny5M+j42tpabN68GRUVFXj99dfx29/+Fo8//jgAYOLEiXj44YfxyCOPYO/evaiursbx48fx/PPPY9++fcPet/Xr16OtrQ0PPvggjh07hqqqKnzwwQf41re+FVHQysnJwUcffYTGxka0t7cPY4sJ6R/N5AiJwHvvvRd06Q4A8vLy8NBDD6Gmpgb//ve/AQBpaWl45ZVXsGrVKnzlK1/BbbfdBgB45JFH0NnZiblz50IkEmHjxo343ve+FzhXSUkJfvKTn+DJJ59EXV0dkpKSUFhYiLvuumvY+2Y0GvHJJ59gy5YtWL58OQRBQHZ2NlasWBE0G+3Pzp07sXnzZuzatQsZGRmoqakZvkYT0g+OsW436RBChs3SpUtx22239ZqQQggZHnS5khBCSNyiIEcIISRu0eVKQgghcYtmcoQQQuIWBTlCCCFxi4IcIYSQuEVBjhBCSNyiIEcIISRuUZAjhBAStyjIEUIIiVsU5AghhMQtCnKEEELi1v8HrxtNN+17s4cAAAAASUVORK5CYII=",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"%matplotlib inline\n",
"import matplotlib.pylab as plt\n",
"plt.plot(kds,scores,'o',alpha=0.5,label='score')\n",
"plt.plot(kds,mins,'o',alpha=0.5,label='min')\n",
"plt.legend(numpoints=1)\n",
"plt.xlim(0,18)\n",
"plt.ylim(0,18)\n",
"plt.xlabel('Experiment')\n",
"plt.ylabel('Prediction')\n",
"plt.gca().set_aspect('equal')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# Aside: Visualizing dense 2D distributions\n",
"\n",
"`seaborn` - extends `matplotlib` to make some hard things easy"
]
},
{
"cell_type": "code",
"execution_count": 61,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": ""
},
"tags": []
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/opt/homebrew/Caskroom/miniforge/base/lib/python3.10/site-packages/seaborn/_oldcore.py:1498: FutureWarning: is_categorical_dtype is deprecated and will be removed in a future version. Use isinstance(dtype, CategoricalDtype) instead\n",
" if pd.api.types.is_categorical_dtype(vector):\n",
"/opt/homebrew/Caskroom/miniforge/base/lib/python3.10/site-packages/seaborn/_oldcore.py:1498: FutureWarning: is_categorical_dtype is deprecated and will be removed in a future version. Use isinstance(dtype, CategoricalDtype) instead\n",
" if pd.api.types.is_categorical_dtype(vector):\n",
"/opt/homebrew/Caskroom/miniforge/base/lib/python3.10/site-packages/seaborn/_oldcore.py:1498: FutureWarning: is_categorical_dtype is deprecated and will be removed in a future version. Use isinstance(dtype, CategoricalDtype) instead\n",
" if pd.api.types.is_categorical_dtype(vector):\n",
"/opt/homebrew/Caskroom/miniforge/base/lib/python3.10/site-packages/seaborn/_oldcore.py:1498: FutureWarning: is_categorical_dtype is deprecated and will be removed in a future version. Use isinstance(dtype, CategoricalDtype) instead\n",
" if pd.api.types.is_categorical_dtype(vector):\n",
"/opt/homebrew/Caskroom/miniforge/base/lib/python3.10/site-packages/seaborn/_oldcore.py:1498: FutureWarning: is_categorical_dtype is deprecated and will be removed in a future version. Use isinstance(dtype, CategoricalDtype) instead\n",
" if pd.api.types.is_categorical_dtype(vector):\n",
"/opt/homebrew/Caskroom/miniforge/base/lib/python3.10/site-packages/seaborn/_oldcore.py:1119: FutureWarning: use_inf_as_na option is deprecated and will be removed in a future version. Convert inf values to NaN before operating instead.\n",
" with pd.option_context('mode.use_inf_as_na', True):\n",
"/opt/homebrew/Caskroom/miniforge/base/lib/python3.10/site-packages/seaborn/_oldcore.py:1498: FutureWarning: is_categorical_dtype is deprecated and will be removed in a future version. Use isinstance(dtype, CategoricalDtype) instead\n",
" if pd.api.types.is_categorical_dtype(vector):\n",
"/opt/homebrew/Caskroom/miniforge/base/lib/python3.10/site-packages/seaborn/_oldcore.py:1119: FutureWarning: use_inf_as_na option is deprecated and will be removed in a future version. Convert inf values to NaN before operating instead.\n",
" with pd.option_context('mode.use_inf_as_na', True):\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import seaborn as sns # package that sits on top of matplotlib\n",
"sns.jointplot(x=kds, y=scores);"
]
},
{
"cell_type": "code",
"execution_count": 62,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/opt/homebrew/Caskroom/miniforge/base/lib/python3.10/site-packages/seaborn/_oldcore.py:1498: FutureWarning: is_categorical_dtype is deprecated and will be removed in a future version. Use isinstance(dtype, CategoricalDtype) instead\n",
" if pd.api.types.is_categorical_dtype(vector):\n",
"/opt/homebrew/Caskroom/miniforge/base/lib/python3.10/site-packages/seaborn/_oldcore.py:1498: FutureWarning: is_categorical_dtype is deprecated and will be removed in a future version. Use isinstance(dtype, CategoricalDtype) instead\n",
" if pd.api.types.is_categorical_dtype(vector):\n",
"/opt/homebrew/Caskroom/miniforge/base/lib/python3.10/site-packages/seaborn/_oldcore.py:1498: FutureWarning: is_categorical_dtype is deprecated and will be removed in a future version. Use isinstance(dtype, CategoricalDtype) instead\n",
" if pd.api.types.is_categorical_dtype(vector):\n",
"/opt/homebrew/Caskroom/miniforge/base/lib/python3.10/site-packages/seaborn/_oldcore.py:1119: FutureWarning: use_inf_as_na option is deprecated and will be removed in a future version. Convert inf values to NaN before operating instead.\n",
" with pd.option_context('mode.use_inf_as_na', True):\n",
"/opt/homebrew/Caskroom/miniforge/base/lib/python3.10/site-packages/seaborn/_oldcore.py:1498: FutureWarning: is_categorical_dtype is deprecated and will be removed in a future version. Use isinstance(dtype, CategoricalDtype) instead\n",
" if pd.api.types.is_categorical_dtype(vector):\n",
"/opt/homebrew/Caskroom/miniforge/base/lib/python3.10/site-packages/seaborn/_oldcore.py:1119: FutureWarning: use_inf_as_na option is deprecated and will be removed in a future version. Convert inf values to NaN before operating instead.\n",
" with pd.option_context('mode.use_inf_as_na', True):\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.jointplot(x=kds, y=scores, kind='hex');"
]
},
{
"cell_type": "code",
"execution_count": 63,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/opt/homebrew/Caskroom/miniforge/base/lib/python3.10/site-packages/seaborn/_oldcore.py:1498: FutureWarning: is_categorical_dtype is deprecated and will be removed in a future version. Use isinstance(dtype, CategoricalDtype) instead\n",
" if pd.api.types.is_categorical_dtype(vector):\n",
"/opt/homebrew/Caskroom/miniforge/base/lib/python3.10/site-packages/seaborn/_oldcore.py:1498: FutureWarning: is_categorical_dtype is deprecated and will be removed in a future version. Use isinstance(dtype, CategoricalDtype) instead\n",
" if pd.api.types.is_categorical_dtype(vector):\n",
"/opt/homebrew/Caskroom/miniforge/base/lib/python3.10/site-packages/seaborn/_oldcore.py:1498: FutureWarning: is_categorical_dtype is deprecated and will be removed in a future version. Use isinstance(dtype, CategoricalDtype) instead\n",
" if pd.api.types.is_categorical_dtype(vector):\n",
"/opt/homebrew/Caskroom/miniforge/base/lib/python3.10/site-packages/seaborn/_oldcore.py:1498: FutureWarning: is_categorical_dtype is deprecated and will be removed in a future version. Use isinstance(dtype, CategoricalDtype) instead\n",
" if pd.api.types.is_categorical_dtype(vector):\n",
"/opt/homebrew/Caskroom/miniforge/base/lib/python3.10/site-packages/seaborn/_oldcore.py:1119: FutureWarning: use_inf_as_na option is deprecated and will be removed in a future version. Convert inf values to NaN before operating instead.\n",
" with pd.option_context('mode.use_inf_as_na', True):\n",
"/opt/homebrew/Caskroom/miniforge/base/lib/python3.10/site-packages/seaborn/_oldcore.py:1119: FutureWarning: use_inf_as_na option is deprecated and will be removed in a future version. Convert inf values to NaN before operating instead.\n",
" with pd.option_context('mode.use_inf_as_na', True):\n",
"/opt/homebrew/Caskroom/miniforge/base/lib/python3.10/site-packages/seaborn/_oldcore.py:1498: FutureWarning: is_categorical_dtype is deprecated and will be removed in a future version. Use isinstance(dtype, CategoricalDtype) instead\n",
" if pd.api.types.is_categorical_dtype(vector):\n",
"/opt/homebrew/Caskroom/miniforge/base/lib/python3.10/site-packages/seaborn/_oldcore.py:1119: FutureWarning: use_inf_as_na option is deprecated and will be removed in a future version. Convert inf values to NaN before operating instead.\n",
" with pd.option_context('mode.use_inf_as_na', True):\n",
"/opt/homebrew/Caskroom/miniforge/base/lib/python3.10/site-packages/seaborn/_oldcore.py:1498: FutureWarning: is_categorical_dtype is deprecated and will be removed in a future version. Use isinstance(dtype, CategoricalDtype) instead\n",
" if pd.api.types.is_categorical_dtype(vector):\n",
"/opt/homebrew/Caskroom/miniforge/base/lib/python3.10/site-packages/seaborn/_oldcore.py:1119: FutureWarning: use_inf_as_na option is deprecated and will be removed in a future version. Convert inf values to NaN before operating instead.\n",
" with pd.option_context('mode.use_inf_as_na', True):\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.jointplot(x=kds, y=scores, kind='kde');"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# What is the error?\n",
"\n",
"Average absolute? Mean squared?"
]
},
{
"cell_type": "code",
"execution_count": 64,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Scores absolute average error: 2.3590879883381928\n",
"Mins absolute average error: 2.682967900874636\n"
]
}
],
"source": [
"print(\"Scores absolute average error:\",np.mean(np.abs(scores-kds)))\n",
"print(\"Mins absolute average error:\",np.mean(np.abs(mins-kds)))"
]
},
{
"cell_type": "code",
"execution_count": 65,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "-"
},
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Scores Mean squared error: 8.165401751357434\n",
"Mins Mean squared error: 10.058501106196793\n"
]
}
],
"source": [
"print(\"Scores Mean squared error:\",np.mean(np.square(scores-kds)))\n",
"print(\"Mins Mean squared error:\",np.mean(np.square(mins-kds)))"
]
},
{
"cell_type": "code",
"execution_count": 66,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.hist(np.square(kds-mins),25,(0,25),density=True)\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 67,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "-"
},
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Average experimental value 6.154081632653062\n",
"Error of predicting the average 4.956176343190337\n"
]
}
],
"source": [
"ave = np.mean(kds)\n",
"print(\"Average experimental value\",ave)\n",
"print(\"Error of predicting the average\",np.mean(np.square(kds-ave)))"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# Do the predictions correlate with the observed values?\n",
"\n",
"Compute correlations: np.corrcoef, scipy.stats.pearsonr, scipy.stats.spearmanr, scipy.stats.kendalltau"
]
},
{
"cell_type": "code",
"execution_count": 68,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"array([[1. , 0.58006564],\n",
" [0.58006564, 1. ]])"
]
},
"execution_count": 68,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.corrcoef(kds,scores)"
]
},
{
"cell_type": "code",
"execution_count": 69,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "-"
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"array([[1. , 0.59026701],\n",
" [0.59026701, 1. ]])"
]
},
"execution_count": 69,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.corrcoef(kds,mins)"
]
},
{
"cell_type": "code",
"execution_count": 70,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "-"
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"PearsonRResult(statistic=0.5800656427326171, pvalue=3.1321668954855117e-32)"
]
},
"execution_count": 70,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"import scipy.stats as stats\n",
"stats.pearsonr(kds,scores)"
]
},
{
"cell_type": "code",
"execution_count": 71,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "-"
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"SignificanceResult(statistic=0.5843897097494348, pvalue=8.484372310278012e-33)"
]
},
"execution_count": 71,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"stats.spearmanr(kds,scores)"
]
},
{
"cell_type": "code",
"execution_count": 72,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "-"
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"SignificanceResult(statistic=0.4128988002305019, pvalue=4.1227137153591064e-30)"
]
},
"execution_count": 72,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"stats.kendalltau(kds,scores)"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# What is the linear relationship?"
]
},
{
"cell_type": "code",
"execution_count": 73,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"array([0.62828046, 4.19091432])"
]
},
"execution_count": 73,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"fit = np.polyfit(kds,scores,1)\n",
"fit"
]
},
{
"cell_type": "code",
"execution_count": 74,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "-"
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"6.075755700166205"
]
},
"execution_count": 74,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"line = np.poly1d(fit) #converts coefficients into function\n",
"line(3)"
]
},
{
"cell_type": "code",
"execution_count": 75,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"xpoints = np.linspace(0,18,100) #make 100 xcoords\n",
"plt.plot(kds,scores,'o',alpha=0.5,label='score')\n",
"plt.plot(kds,mins,'o',alpha=0.5,label='min')\n",
"plt.xlim(0,18)\n",
"plt.ylim(0,18)\n",
"plt.xlabel('Experiment')\n",
"plt.ylabel('Prediction')\n",
"plt.gca().set_aspect('equal')\n",
"\n",
"plt.plot(xpoints,xpoints,'k')\n",
"plt.plot(xpoints,line(xpoints),label=\"fit\",linewidth=2)\n",
"plt.legend(loc='lower right')\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"source": [
"# What happens if we rescale the predictions?\n",
"\n",
"Apply the linear fit to the predicted values."
]
},
{
"cell_type": "code",
"execution_count": 76,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Fit: [0.53555088 1.83893211]\n",
"Scores Mean squared error: 8.165401751357434\n",
"Fit Scores Mean squared error: 3.2885412091132413\n"
]
}
],
"source": [
"f2 = np.polyfit(scores,kds,1)\n",
"print(\"Fit:\",f2)\n",
"fscores = scores*f2[0]+f2[1]\n",
"print(\"Scores Mean squared error:\",np.mean(np.square(scores-kds)))\n",
"print(\"Fit Scores Mean squared error:\",np.mean(np.square(fscores-kds)))"
]
},
{
"cell_type": "code",
"execution_count": 77,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "slide"
},
"tags": []
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(kds,scores,'o',alpha=0.5,label='score')\n",
"plt.plot(kds,fscores,'o',alpha=0.5,label='fit')\n",
"plt.xlim(0,18)\n",
"plt.ylim(0,18)\n",
"plt.xlabel('Experiment')\n",
"plt.ylabel('Prediction')\n",
"plt.gca().set_aspect('equal')\n",
"\n",
"plt.plot(xpoints,xpoints)\n",
"plt.legend(loc='lower right')\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 78,
"metadata": {
"editable": true,
"slideshow": {
"slide_type": "-"
},
"tags": []
},
"outputs": [
{
"data": {
"text/plain": [
"PearsonRResult(statistic=0.5800656427326171, pvalue=3.1321668954855117e-32)"
]
},
"execution_count": 78,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"stats.pearsonr(kds,fscores)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"celltoolbar": "Slideshow",
"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": "3.10.12"
}
},
"nbformat": 4,
"nbformat_minor": 4
}