{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Matplotlib을 활용한 시각화 1\n",
"- Matplotlib은 NumPy 배열을 기반으로 만들어진 다중 플랫폼 데이터 시각화 라이브러리로서 광범위한 SciPy 스택과 함께 작업하기 위해 설계됨\n",
"- 다양한 운영체제와 그래픽 백엔드에서 잘 동작한다는 장점이 있음\n",
"- D3js와 HTML5 캔버스를 기반으로 한 웹 시각화 툴킷과 함께 R언어의 ggplot과 ggvis 같은 새로운 도구와 비교해 보면 종종 Matplotlib이 구식으로 느껴질수도 있지만 테스트가 잘 된 교차 플랫폼 그래픽 엔진으로서의 Matplotlib의 강점을 무시할 수 없음"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 일반적인 Matplotlib 사용법"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 1. matplotlib 임포트하기"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"\n",
"import warnings\n",
"warnings.filterwarnings('ignore')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 2. 스타일 설정하기"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# 전형적인 classic 스타일을 선택했다.\n",
"# 더 많은 스타일은 https://matplotlib.org/gallery/style_sheets/style_sheets_reference.html 여기를 참고.\n",
"plt.style.use('classic')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 3. show()\n",
"- 현재 활성화된 모든 그림 객체를 찾아서 그림을 표시하는 하나 이상의 대화창을 연다."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 0. , 0.1010101 , 0.2020202 , 0.3030303 , 0.4040404 ,\n",
" 0.50505051, 0.60606061, 0.70707071, 0.80808081, 0.90909091,\n",
" 1.01010101, 1.11111111, 1.21212121, 1.31313131, 1.41414141,\n",
" 1.51515152, 1.61616162, 1.71717172, 1.81818182, 1.91919192,\n",
" 2.02020202, 2.12121212, 2.22222222, 2.32323232, 2.42424242,\n",
" 2.52525253, 2.62626263, 2.72727273, 2.82828283, 2.92929293,\n",
" 3.03030303, 3.13131313, 3.23232323, 3.33333333, 3.43434343,\n",
" 3.53535354, 3.63636364, 3.73737374, 3.83838384, 3.93939394,\n",
" 4.04040404, 4.14141414, 4.24242424, 4.34343434, 4.44444444,\n",
" 4.54545455, 4.64646465, 4.74747475, 4.84848485, 4.94949495,\n",
" 5.05050505, 5.15151515, 5.25252525, 5.35353535, 5.45454545,\n",
" 5.55555556, 5.65656566, 5.75757576, 5.85858586, 5.95959596,\n",
" 6.06060606, 6.16161616, 6.26262626, 6.36363636, 6.46464646,\n",
" 6.56565657, 6.66666667, 6.76767677, 6.86868687, 6.96969697,\n",
" 7.07070707, 7.17171717, 7.27272727, 7.37373737, 7.47474747,\n",
" 7.57575758, 7.67676768, 7.77777778, 7.87878788, 7.97979798,\n",
" 8.08080808, 8.18181818, 8.28282828, 8.38383838, 8.48484848,\n",
" 8.58585859, 8.68686869, 8.78787879, 8.88888889, 8.98989899,\n",
" 9.09090909, 9.19191919, 9.29292929, 9.39393939, 9.49494949,\n",
" 9.5959596 , 9.6969697 , 9.7979798 , 9.8989899 , 10. ])"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = np.linspace(0, 10, 100)\n",
"display(x)\n",
"\n",
"# cos 함수, sin 함수를 그려본다.\n",
"plt.plot(x, np.sin(x))\n",
"plt.plot(x, np.cos(x))\n",
"\n",
"# show 명령어는 시스템의 대화형 그래픽 벡엔드와 상호작용을해야 하기 때문에 내부에서 많은 작업을 수행한다.\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- `plt.show()` 파이썬 세션당 한 번만 사용할 수 있어서 대체로 스크립트의 맨 마지막에 사용된다."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 4. %matplotlib"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- IPython shell에서 대화식으로 Matplotlib을 사용하기 위해서는 `%matplotlib` 명령어를 사용하면 된다.\n",
"- 이 모드에서는 `show()` 함수를 사용하지 않아도 된다."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Using matplotlib backend: MacOSX\n"
]
}
],
"source": [
"%matplotlib"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"# 노트북에 플롯의 정적 이미지를 삽입할 수 있다. 커널/세션당 한 번만 실행하면 된다.\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"x = np.linspace(0, 10, 100)\n",
"\n",
"# 해당 plot을 사진 파일로 저장할 때 사용할 것이다.\n",
"fig = plt.figure()\n",
"\n",
"plt.plot(x, np.sin(x), '-')\n",
"plt.plot(x, np.cos(x), '--')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 5. 그림을 파일로 저장하기"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"fig.savefig('my_figure.png')"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"-rw-r--r-- 1 yoonjeonghun staff 26K 2 28 23:17 my_figure.png\r\n"
]
}
],
"source": [
"# 이 명령어를 실행하면, 그림 파일이 저장된 것을 확인할 수 있다. !는 리눅스 명령어 모드로 진입할 수 있도록 해주는 것.\n",
"!ls -lh my_figure.png"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# 외부에 있던 파일을 호출해서 표시해보자.\n",
"from IPython.display import Image\n",
"Image('my_figure.png')"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"{'ps': 'Postscript',\n",
" 'eps': 'Encapsulated Postscript',\n",
" 'pdf': 'Portable Document Format',\n",
" 'pgf': 'PGF code for LaTeX',\n",
" 'png': 'Portable Network Graphics',\n",
" 'raw': 'Raw RGBA bitmap',\n",
" 'rgba': 'Raw RGBA bitmap',\n",
" 'svg': 'Scalable Vector Graphics',\n",
" 'svgz': 'Scalable Vector Graphics',\n",
" 'jpg': 'Joint Photographic Experts Group',\n",
" 'jpeg': 'Joint Photographic Experts Group',\n",
" 'tif': 'Tagged Image File Format',\n",
" 'tiff': 'Tagged Image File Format'}"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# 저장 가능한 파일의 종류는 무엇이 있을까?\n",
"fig.canvas.get_supported_filetypes()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 두 개의 인터페이스\n",
"- Matlab 스타일의 상태 기반 인터페이스\n",
"- 객체지향 인터페이스"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 1. 매트랩 스타일의 인터페이스\n",
"- `Matplotlib`은 원래 매트랩(MATLAB) 사용자를 위한 파이썬 대안으로 제작됐으며, `Matplotlib`이 제공하는 구문의 대부분이 그 사실을 반영한다."
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"\"\"\"매트랩 사용자들에게 친숙해보이는 코드\"\"\"\n",
"\n",
"# 플롯 그림을 생성\n",
"plt.figure()\n",
"\n",
"# 두 개의 패널 중 첫 번째 패널을 생성하고 현재 축(axis)을 설정\n",
"plt.subplot(2, 1, 1)\n",
"plt.plot(x, np.sin(x))\n",
"\n",
"# 두 번째 패널을 생성하고 현재 축(axis)을 설정\n",
"plt.subplot(2, 1, 2)\n",
"plt.plot(x, np.cos(x))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- 이 인터페이스는 **상태를 저장**한다. 따라서 plt 명령어가 적용되는 곳에 있는 현재 그림과 축을 기억한다. \n",
"- 만약 두 번째 패널에 대해서 작업하다가, 첫 번째 패널로 돌아가서 다시 작업하려면?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 2. 객체지향 인터페이스\n",
"- 객체지향 인터페이스에서 플로팅 함수는 \"활성화된\" 그림이나 축의 개념에 의존하지 않는 명시적은 `Figure`와 `Axes` 객체의 **메서드**이다."
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# 먼저 플롯 그리드를 생성\n",
"# ax는 두 개의 축 객체의 배열이 된다.\n",
"fig, ax = plt.subplots(2)\n",
"\n",
"# 적절한 객체에서 plot() 메서드를 호출\n",
"ax[0].plot(x, np.sin(x))\n",
"ax[1].plot(x, np.cos(x))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- 사실 어떤 스타일을 선택할지는 대체적으로 취향 문제이지만, 플롯이 복잡해질수록 객체지향 방식을 채택할 수밖에 없다."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 간단한 라인 플롯"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [],
"source": [
"# 스타일을 변경하자.\n",
"plt.style.use('seaborn-whitegrid')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- `plt.Figure` 클래스의 인스턴스 : 축, 그래픽, 텍스트, 레이블을 표시하는 모든 객체를 포함하는 하나의 컨테이너로 생각하면 된다.\n",
"- `plt.Axes` 클래스의 인스턴스 : 눈금과 레이블이 있는 테두리 상자로 나중에 시각화를 형성하는 플롯 요소를 포함하게 된다."
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 그림(figure)과 축(axes)을 만드는 명령어\n",
"fig = plt.figure()\n",
"ax = plt.axes()"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 간단한 Sin 곡선으로 플로팅을 시작해보자.\n",
"x = np.linspace(0, 10, 1000)\n",
"plt.plot(x, np.sin(x))"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 16,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x, np.sin(x))\n",
"plt.plot(x, np.cos(x))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 1. 플롯 수정하기: 선 색생과 스타일"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\"\"\"색상을 변경하는 다양한 방법 1\"\"\"\n",
"\n",
"plt.plot(x, np.sin(x - 0), color='blue')\n",
"plt.plot(x, np.sin(x - 1), color='g')\n",
"plt.plot(x, np.sin(x - 2), color='0.75')"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\"\"\"색상을 변경하는 다양한 방법 2\"\"\"\n",
"\n",
"plt.plot(x, np.sin(x - 0), color='#FFDD44')\n",
"plt.plot(x, np.sin(x - 1), color=(1.0, 0.2, 0.3))\n",
"plt.plot(x, np.sin(x - 2), color='chartreuse')"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\"\"\"선 스타일을 조정하는 다양한 방법 1\"\"\"\n",
"\n",
"plt.plot(x, x + 0, linestyle='solid')\n",
"plt.plot(x, x + 1, linestyle='dashed')\n",
"plt.plot(x, x + 2, linestyle='dashdot')\n",
"plt.plot(x, x + 3, linestyle='dotted')"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\"\"\"선 스타일을 조정하는 다양한 방법 2\"\"\"\n",
" \n",
"plt.plot(x, x + 0, linestyle='-') # solid\n",
"plt.plot(x, x + 1, linestyle='--') # dashed\n",
"plt.plot(x, x + 2, linestyle='-.') # dashdot\n",
"plt.plot(x, x + 3, linestyle=':') # dotted"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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68NdWH+IAr8iJxNLpgO3bgWeeUY+ffRZ47jlp5Wg0GnTp0gWKhHn4OwkQvBrhicwTmLtvLraf2o5/d/s3kt9OtngDT3XjFTmRSBqNehVu3JHHwQEQeNVZ0R6YI0aMQL169YTVYOzCfOjoUegkbt4uqwvTEnhFTmRpUVGAnx/Qr5/ayLN6tfq6wG0SY2NjERYWBicnJ2zevFnYuOXlaLVYkpaGxde7MJe0bAkHwfPf1tCFaQkMciJLUBTTpsWBgdKadwAgKysLY8eOxcSJE/Hyyy9LqWF5ejqmpaTgX76+tb4L0xIY5ETV7a+/gAkT1DXBAeCRR6SW4+vri+PHj0u9gdnD3R1Hu3VDU4E3cgHr7MK0BAY5UXU4cwZo1kydOmnTRp1OkWD79u0wGAwYNGjQTa/LblzpLHghK2vuwrQE3uwkqg7vvAOcPKl+bWcnZTs1APD29oavr6+UsY/k5+Olv/5CrlYrZXzANrowLYFX5ETmSEhQVyPs31893rJFeAnXrl2Dyy1TFT0Er0leURems+AbmIBtdWFaAoOcyBxFReo6KBJkZmZi4cKFWLlyJRITE9FA0jrkh/Lz8c7p08jUajGVXZhSMciJ7kZBATBypLoaoZMT8PDD0kqZMGECvL29cfDgQWkhDgCOGg0m+PtjWP36sK+he2HaCgY50Z1otepjhE5OgLu7uoysg/wfmXXr1lnFfG8Xd3d0EXwTsyZ0YVoCb3YS3cnYsUD5JVwffVRoF+bly5cxb968214XGeLGLszUa9eEjVmRmtSFaQlmXV5otVpMnToVaWlpsLOzwyeffILmzZtXd21EYuXnq8+AP/igehwerq4JLomnpyfq1q0LRVGEX4EbuzDD09LQy9MT/5LwJExN7cK0BLOCfPfu3dDpdPj++++xb98+LFy4EOHh4dVdG5FYqanA99+bglxgiCuKAq1WCycnU6ehi4sLxo0bJ6wGALhSVoYvLlzAyowM/MvXF7vZhWkTzPo9MSAgAHq9HgaDAYWFhXCwgnlDoipTFHXjhvx89bhDB2DhQqEl6PV6xMTEoGvXroiMjBQ6dkXydDoU6fU42q0b/l+bNkJDXGfQYe3xtei0rBNm/T4Lkx+ejBNvncCozqMY4pUwK4FdXV2RlpaGgQMHIicnB8uWLavuuogsx7gOikajhrdeL62UTZs24csvv8THH3+Mp59+WlodRi1cXfFVK7GP75XqSrEmaQ2Wb1heK7owLUGjmLEQ8Zw5c+Dk5IT33nsPGRkZeOWVV7B169abNmiNi4tDI0ndbdamoKAA7oLv7lsr2efCde1a2GVmonDSJGk1GBUUFMDNzQ0ajUZ4aCVcuwZ3OzsEOsm70i3SFmFN0hqsOL4CrT1bY1K3SQi+L1haPdYiIyMDQUFBVXqPWVfkHh4ecHR0BKDekNHpdNBXcFXj5+dnzsfXOOnp6TwX10k5F6mpQJMm6tevvAK4uMBDwj8mCxYsQEhICBo2bAhA/Lm4tQtzRatW8JOwKuOtXZjbQ7ejgaEBf0auy8jIqPJ7zAryUaNGYdq0aQgJCYFWq8U777wDV1feSSYrdOUKMHQocPCguqBVfXmPq/n4+EArYR0SRVHwU3Y2ws6fxxWt1ir3wkxPTxdaS01jVpC7ublh0aJF1V0LUfXYuhXo2hW4/341uA8fNq0NLohWq73xW6uRrLXAs3U6hJ0/j4n+/niOXZg1Eh83oZrHOJVy//3qscDg+vvvvzFv3jycOXMGe/bsETbuP/FxdMS+rl2Fj8suTHHY2Um27+BB4MMPTcfjxgGdOgkvo6SkBE8//TQCAwOlbKdWpNfjbEmJ8HFvxS5M8XhFTraptBQwPiXVogXw1FNy6wFQp04dJCcnw95e7O4z5ffCHH///figWTOh4wPswpSNQU62R69Xr7hjY9U5cB8f4XtiHjp0CJcvX8Yzzzxz0+siQ/xyWRkWXLiAyOtdmNwLs/ZikJNtuHhRDfCmTdWnTw4fVlcklMTOzk5qw4peUdAnPh7969XjXpjEICcb8cMPgK+vGuSA0BDX6/W3XWl369ZN2PgVsddokNCtm/BHCGvbXpi2gjc7yTpdvgx8+aXpePx44MUXhZZQXFyMxYsXIyAgAKdOnRI6dnn5Ol2Fr4sM8dq6F6at4BU5WScPD8DR0bQuigQTJ07E1atXsXHjRrRs2VLo2IqiYHduLsJSU6EB8IuEp3AA7oVpKxjkZD1CQ4EJE4Du3dUlZCdMkFrO0qVLha/sqSgKtl29irDUVGRd3wtz5PWWfpG4F6ZtYZCTPAYDcPWqqW1+5kwgIEB4GQUFBfj6668x6ZaFtGQszzzsxAmcKSnBtKZN2YVJd41BTvLExAD79gGLF6vHgqcvjOrUqYPCwkLodDrpa+uHt2yJRk5Owued2YVp23izk8TRauGyebM67w0Azz8PSFizx2Aw3HTs4OCAGTNmCA3xO60e7efsLDTE2YVZMzDISRw7OzgfOAAUFd04FnkjMzY2FgMHDsTHH38sbMxb5Wi1+PTcOXQ5cgS6qm8FUC0URcHOszvR/9v+eD7mefQL6IeUiSmY2nMqPF08pdRE94ZTK2RZkZHqAlYDBgD29sibMwdudesKL2PXrl14/fXXMWXKFCmrEN7ahfl9u3ZwyMsTWgO7MGsuBjlVP50OME5TdO4sdQ1wo969e+Pvv/+WMge++OJFzDp3Di81bHhTF2a6oCBnF2bNxyCn6pWYCLz9NvD77+px9+7CS1i3bh0eeughNCu3eJSdnR3sBHdBGvWvVw/DGzRAQ8HbqrELs/ZgkNO9O34caNtWvQpv315tp5eotLQUxcXFUmsor53ghawKywqxIm4Fvtz/JTrf1xmrh6xGzyY9hdZAYvFmJ927Tz4BzpxRv9ZogHr1hA1d0dMfo0aNQrt27YTWsDs3F0OOH0e2hK3cjLJLsvHR7x8hcFEgDqYdxLaQbdgWso0hXgvwipyq7vBhdS9M4xrg69cLLyEzMxMLFy7Er7/+isOHD0uZLqhoL8y6gtciB9iFSQxyMpdeL3FoPXr16oX+/fsjJiZGSojH5ubi7VOnoAHYhUnSMcipcvn5wHPPAdu2AU5OUm5glmdvb49jx47B2bhDkAReDg6YExiIgd7e7MIk6RjkVLGSEnW+28VFXYlw7lx1NULBTp48ieTk5Nt24pEZ4gDQsW5ddBT8PPyhtEOYs3cO9l/Yj0kPTsJXA79iAw8B4M1OupPx44GffzYdBwVJWU62tLQUV65cET4uYOrCPCdxQ2N2YdLd4BU5qa5eVR8j7NNHPV62zNTUI4iiKLdNU3Ts2BEdO3YUWkf5LsxnfHxgJ+EfMHZhUlWYfUW+fPlyDB8+HEOHDkVMTEx11kQyZGYCv/xiOhYY4nq9HjExMQgKCsKBAweEjXurjNJSvH3yJNoeOoRCvR5xQUH4pm1bNBG4H6bOoMPa42vRaVknzPp9FiY/PBkn3jqBUZ1HMcTpjsz6aT148CD+/PNPrFu3DiUlJVi1alV110WWpijApEnARx8BXl5qQ8+cOVJKmTFjBnbt2oWPPvoIwcHBUmoAgGsGA+ra2yMpOJhdmGRTzAryvXv3olWrVhg3bhwKCwvxn//8p7rrIksxGEyrDvburX4t2cyZMxEWFiY9tALq1MHc5s2FjskuTKoOZv0U5+TkIDExEYsWLcJHH32E999//47rK5MViYgAZs82HQ8dqj6RIkhZWRmioqJu+7tSp04dYSFu7ML8y7iUriTZJdmYHzf/Rhfmjy/+yC5MMptZV+ReXl4IDAyEk5MTAgMD4ezsjOzsbPj4+Nz0fenp6dVSpK0rKCiQcy4UBfZnzkDfogUAQNOnDxQXF0DSfxeDwYAzZ87g9OnTcBO8/oiiKNhRVITw7Gxc1esxp2FDeLm6Cq0BAC4XX8aK4yvwffL36OfXDxsHbURzr+aAUrt/XqT9jNQQZgV5UFAQvv32W7z66qvIzMxESUkJvLy8bvs+Pz+/ey6wJkhPT5dzLjIzgRkz1JUI7ewAwTVU9BTKrFmzhJ4LvaJgw5UrCDt/Xu3CDAy0ii7MY2OPwb7Inj8j10n7GbFCGRkZVX6PWUHet29fHD58GMOGDYOiKJg5cybsJawxQRWIjgYefhho3Bho0ADYs0d4CcnJyZg7dy7q1auH+fPnCx+/vDydDl9nZFhlF2Z6Ea9AqXqY/YwZb3BaqcJCoKBA2vCJiYl47LHH8Pbbb+Ptt9+WVoeRt6Mjfu3USfi47MIkkdgQZOv27QM2bwY++0w9HjNGajnt27fH2bNnhc+B52i1uKLVopWEeW8jRVGw69wuhMWG4VT2KUx+eDK+G/odXB3l1US1A4PcFhUWAsZ1Ptq1E/rkSXk7d+6Ev78/WrUyLZmq0WiEhvil0lIsuHgRKzMyMKVJE/ynSRNhYxuxC5NkY5DbGr0e6NYN2LsX8PVVN3EQuJFDeRcuXICLi8tNQS7KuZISfH7hAtZlZt62F6Yo3AuTrAWD3BacOqU+ddK8OWBvD8THq6sSSvbKK69IGVevKHj6+HE84+vLLkwiMMhtw86dgI+PGuSA0BAvLi7GypUrERUVhX379sFJcGhWxF6jQUL37sIfIWQXJlkrBrk1Sk8Hvv4a+OAD9fjNN6WUoSgK+vTpA39/f0RERAgPcUVRcFWrhW8F44oM8eySbIQfDMeSw0vQN6AvfnzxR3Rp1EXY+ESVYZBbC0Uxrfft7a0275R/TQKNRoMdO3bA3d1d6Ljl98L0cnDAtgceEDq+EffCJFshf8UkUj3/vLqpMaBOnYwZIzTEL126hJ9++um210WGuF5R8P3ly+h85Aimp6Rggr8/tgheixxQuzDH/jgW7SPaQ2vQIv7NeHw9+GuGOFktXpHLotWqLfT3368ez58P+PtLK6ewsBBHjx7FU089Ja2GIYmJyNZqrbILk8iaMchl2bQJOHIE+Pxz9VjC88/ltWjRAjNmzJBawzdt2sDbwUF4gLMLk2wdp1ZEKSsDVq5U570B4IUXTCEuUGxsLAYOHIjt27cLH9tIf4clj30cHYUuZ8u9MKmm4BW5KA4OwMmTQHEx4OYm5SbmokWLsHjxYkydOhWPPfaY8PEvlZZi9pUr2HXxIo5LeHwQYBcm1UwMcksKDweaNVN3oLezM62HIsmYMWMwbtw4OAjeVLl8F+ZgNzf81LGj8BBnFybVZAzy6lZaCjg7q18/+ihQX/zNMoPBgOjoaLzwwgs3LS9c17g+i0Cfp6Zibmoq3vDzQ1JwMPRZWfCrU0fY+OzCpNqAQV6djh0DJkxQN3IAAOPyqYJ3PtFoNDh06BD69euHBg0aCB37VkN8ffF6o0bwcnQEAIg6E+zCpNqEQX6vDhxQp04cHYGOHYEff5RdETQaDRYsWCC7DABAS8HLyrILk2ojPrVyr5YtA86dU7/WaEzLywqQmZmJadOm4a233hI25q0URcG2q1fRPz4eWWVl0urIKMjA5F8no2V4S6TmpWLv6L2IHhbNEKdagUFeVXv3Aj/8YDr+5hugZUvhZVy8eBFt2rRBXl4eJk+eLHx8vaIgOjPzRhfmG35+qHd9+kQkdmEScWql6tzcgGvXZFcBf39/nD59Gt7e3sLH3pmTgzdPnkQDR0d2YRJZAQZ5ZfLzgYEDgV27ACcnoIv4X9WPHTsGR0dHtG3b9qbXZYQ4ADRycsLXrVujl6enlC7MsNgwHLh4gF2YRNcxyCuSn6828Li6qtuoff21GuKSJCQkwMvL67Ygl6WtmxtEVlLRXphrn1vLvTCJrmOQV+Tdd4EhQ4Cnn1aP27SRWk5oaKjwMS+XlWHBhQt43c8PzQU+910euzCJ7g6DHAAuXQISEoABA9TjFSvUTkyB9Ho9Nm3ahCVLlmDz5s3w9JQzXXDrXpiugs8DwC5MoqpikANAQQFw6JApyCWE15AhQ5CVlYXp06fDw8ND+Pip167hg7Nn8ePVqze6MLkXJpFtuKcgv3r1KoYOHYpVq1ahuXE/SVugKMDrr6trn3h7q48PGrdVk2TVqlXw9fWVGlqtXF1xpkWLG12YohSWFWL5keWYf2A+uzCJzGB2kGu1WsycORMuVrCb+13T6dSbmBoNMGyYaU0UgfLz83Ho0CF1W6SQAAAOFklEQVT079//ptfrS1iTpbwmLi6Y3rSp0DGNXZhfHf4KjwU8xi5MIjOZPYcwb948jBgxQvpaHndt0SJgzhzT8ZNPqs+EC1ZYWIhNmzYJHxcwdWEeKyyUMr7RrV2Y+0bvYxcm0T0wK8g3bdoEb29v9OrVq7rrqT4GAxAfbzoePRr473/l1XOdn58fIiIihI55616YeTqd0PGNUnJSMHXvVHZhElUzjaLcYbuWf/DSSy9Bo9FAo9EgKSkJzZo1w9KlS2+aHoiLi0OjRo2qtdiqsLt6FV4TJiA7KkrKzcvTp08jIiICffv2RZ8+fYTvRA8AZYqCDfn5WJKdDV97e0zw9sZjbm7C5+GTs5PxVcJX2HVhF4Y3H463ur4Fnzo+QmuwRgUFBVL+XlgjnguTjIwMBAUFVe1Nyj0aOXKkcvr06dteP3LkyL1+dNWtWqUoKSnix73FunXrlPr16ysff/yxkp2draSlpUmpI6esTBly/LiyOydHMRgMwsc/ePGgMnjdYKXh5w2VObFzlNySXGnnwhrxXJjwXJiYk5016/FDJyf1hqZkgwYNwtNPP31jI4eSkhIpdXg5OuKHDh2EjqlU0oVZhCKh9RDVBvcc5FFRUdVRh3l27wY2bgQWL1aPX3pJeAm//PIL+vTpA+dyT8CI/hXxUmkpsrRadJCwA5ARuzCJ5LG9K/KcHKBePfXrzp2Bxo2llrNt2za0aNFCynP0xi7MtZmZmNWsmZQgZxcmkXy2FeQ6HfDII0BsLODjA3h6qn8kWmz8bUCgpKIizE1NvdGF+Te7MIlqNesP8uPH1bnv1q3VZp5jx9T/Fai4uBgrV65EUlISli5dKnTsW+kVBSOTkjC0fn12YRIRAFsI8rg4tY2+dWv1WHCI5+fno02bNnjwwQfxXyt4Dt1eo8GRoCDhV77swiSyXtYX5BcuAEuWAHPnqsejRkktx8PDA4cOHYK/v7/QcRVFQXpZGe6vYBkBkSGeUZCB+fvnY1X8KgxpPQT7Ru9jAw+RlbGOPTsNBnUhKwBo0EDdhafqfUr3LDU1FX/99ddtr4sM8fJdmBNOnRI27q24FyaR7bCOK/LBg4GZM4Hu3dWFrIYPl1LG/v37UVhYiHbt2gkfu9RgQNSlS5h34cJNe2GKxr0wiWyPnCAvKQEuXwaaNVOPV65Ur8QlGy7pHxAAGHz8OABwL0wiqjI5Uys//qiGt1HDhurSsoLExsZiyJAhyMzMFDZmZWLat8fPnTrhUS8vYSGuKAp2nt2J/t/2x/Mxz6N/YH+kTEzB1J5TGeJENkTMFXlpKbB8OTB+vBrYzz+v/pFg7Nix+N///ocpU6ZI2U6tzGCAUwWLeLkLfBqHXZhENYuY9HByArKz1SkVV7k7n0+bNg3h4eFwEPwYo7EL87ecHPwVHAx7CY0z7MIkqpksO7Vi3EBBowFmzRIa4mVlZYiNjb3t9caNGwsN8aSiIky8dAlBcXHwcHDAni5dhId4qa4UK+JWoPVXrbE8bjm+ePwLxL0Rh+faPccQJ6oBLJtovXtb9OP/SWFhIRYtWoRHHnkEdhLWIweAT8+dQ3haGkZ5eCCyRw92YRKRRVg2yH3kbR7g7e2NDRs2SBsfAELvuw/vNG6MvMuXhYY4uzCJahfreI78HmRmZmLhwoVo164dRo4cKbucmzS9vjF1nqDx2IVJVDtZR2enmXbu3Ik2bdogNzcXjzzyiPDxjV2YDx09iitlZcLHN2IXJlHtZtNX5D169MCJEyeE7w16axfmB02bwlfw/DcAJGYmYu7eufj59M/swiSqxWwmyP/880+0atUKbm5uN15zc3O76ViEn69exWvJyejg5mY1XZhLnlrCBh6iWsxmgnzVqlV49dVX0bVrV6l1tKhTB5s7dkSQ4O3cKtsLk4hqL5sJ8vDwcNklAABaCG5oYhcmEVXGqoJcr9dj06ZN+P3337FkyRJpdRi7MCf6+6OVpE5UnUGH6MRozN03l12YRPSPrCbIy8rK0LVrV7i7u2PatGlQFEX43POte2F6C27jB9QuzG/iv8Fnf3zGvTCJ6K5YTZA7OTlhw4YNaN26tfDQOltSgvfPnMHevDxM8PfnXphEZFOkBHlubi4uXbqENm3a3PT6rceiONnZoZenJ75t2xZu9mKnLtiFSUT3yqyGIK1Wi8mTJyMkJATDhg3Djh07qvT+3bt3Y+PGjeYMbRH3OztjUuPGQkM8oyADk3+djJbhLZGal4p9o/chelg0Q5yIqsysK/ItW7bAy8sLn3/+OXJycvDss8+iX79+d/3+wYMHY/DgweYMbTa9oiAmMxMtXV2FPzpYXkpOCj7f9zmiT0Tj5U4vI/7NeDT2bCytHiKyfWZdkT/55JOYOHHijWP7O1zJJicnY8yYMTh//rx51VWDUoMBK9PT0ebQIYSnpUEnYVNnQO3CHLlpJIIjg+Hj6oPkt5Ox8MmFDHEiumdmXZEbuykLCwsxYcIETJo0qcLv69WrF8aPHy9lJ54SvR7L09Px5cWLaO/qKrULc+b/ZiI+K55dmERkERpFMe8SNSMjA+PGjbsxT36ruLg4eHh4CG+hN8rX6zE9MxOv16uHB66vQiiKoijYl74P4fHhOJt/Fq+2ehWjOo1CHYc6QuuwRgUFBXCXOLVlTXguTHguTDIyMhAUFFSl95h1RZ6VlYXRo0dj5syZeOihh+74fS1btjTn46uFH4CNjcVOW9ypCzPrchb8/PyE1mKt0tPTeS6u47kw4bkwycjIqPJ7zAryZcuWIT8/HxEREYiIiAAAREZGwkXwlS+gdmFm63ToKvFfc3ZhEpFMZgX5jBkzMGPGjOqupUrKd2GGBQZKCXJ2YRKRNbCazs67dSQ/H3NSU7E3Lw8T/f2xiF2YRFTL2VSQ6wwGTDp9Gi80aICotm3hyi5MIiLbCnIHOzvslbAeOffCJCJrZpV7duoVBSklJbLL4F6YRGQTrOqKvPxemN3d3bG2XTspdXAvTCKyJVYR5EV6PSIr6MIUjXthEpEtsoogfzYxEZ4ODvi/Dh24FyYRURVZRZBv6dABLoKfQOFemERUUwgN8iK9vsI1v0WGOLswiaimERLkxi7M/fn5SAoOhr2Ezkd2YRJRTWXRIC/fhTnhehem6BBnFyYR1XQWDfJnT5zA+40bcy9MIiILsmiQn+nRA052YnuO2IVJRLWNRYNcZIhzL0wiqq2s4vHDe8EuTCKq7Ww2yNmFSUSksqkgZxcmEdHtbCLI2YVJRHRnVh3k7MIkIqqcVQY5uzCJiO6eVQU5uzCJiKrOKoKcXZhEROaTGuTswiQiundmBbnBYMCsWbOQnJwMJycnfPrpp2jatOldv59dmERE1cesHvrffvsNZWVliI6OxnvvvYe5c+fe1fsSMxMxctNIBEcGw8fVB8lvJ2PhkwsZ4kRE98CsK/K4uDj06tULANC5c2ckJib+4/ezC5OIyHLMCvLCwkLUrVv3xrG9vT10Oh0cHG7+uJ1nd7ILk4jIwswK8rp166KoqOjGscFguC3EAeCtbW+xC5OIyMLMCvKuXbti165deOqppxAfH49WrSp+0uS7h74D9MDx+OP3VGRNkJGRIbsEq8FzYcJzYcJzYT6NoihKVd9kfGrl5MmTUBQFYWFhaN68uSXqIyKiSpgV5EREZD3E7sNGRETVrtqD3GAwYObMmRg+fDhCQ0Nx/vz56h7CZmi1WkyePBkhISEYNmwYduzYIbsk6a5evYrevXvjzJkzskuRavny5Rg+fDiGDh2KmJgY2eVIo9Vq8d5772HEiBEICQmptX8vEhISEBoaCgA4f/48XnzxRYSEhODDDz+EwWCo9P3VHuTmNgvVRFu2bIGXlxfWrl2LyMhIfPLJJ7JLkkqr1WLmzJlwcXGRXYpUBw8exJ9//ol169YhKioKly5dkl2SNLt374ZOp8P333+PcePGYeHChbJLEi4yMhIzZsxAaWkpAGDOnDmYNGkS1q5dC0VR7uoCsNqDvKrNQjXZk08+iYkTJ944trev3euoz5s3DyNGjECDBg1klyLV3r170apVK4wbNw7//ve/0adPH9klSRMQEAC9Xg+DwYDCwsIKH2Ou6Zo0aYLw8PAbxydOnEBwcDAA4NFHH8Uff/xR6WdU+1m722ah2sDNzQ2Aek4mTJiASZMmSa5Ink2bNsHb2xu9evXCihUrZJcjVU5ODtLT07Fs2TJcvHgRY8eOxc8//1wr19t3dXVFWloaBg4ciJycHCxbtkx2ScINGDAAFy9evHGsKMqNvwtubm4oKCio9DOq/Yr8bpuFaouMjAy8/PLLGDx4MJ555hnZ5UizceNG/PHHHwgNDUVSUhKmTJmCK1euyC5LCi8vL/Ts2RNOTk4IDAyEs7MzsrOzZZclxTfffIOePXvil19+webNmzF16tQbUwy1lZ2dKZaLiorg4eFR+Xuqu4iuXbtiz549APCPzUK1QVZWFkaPHo3Jkydj2LBhssuR6rvvvsOaNWsQFRWFtm3bYt68eahfv77ssqQICgpCbGwsFEXB5cuXUVJSAi8vL9llSeHh4QF3d3cAgKenJ3Q6HfR6veSq5GrXrh0OHjwIANizZw+6detW6Xuq/VL58ccfx759+zBixIgbzUK11bJly5Cfn4+IiAhEREQAUG9s1PabfbVd3759cfjwYQwbNgyKomDmzJm19v7JqFGjMG3aNISEhECr1eKdd96Bq2vtXo9pypQp+OCDDzB//nwEBgZiwIABlb6HDUFERDaODUFERDaOQU5EZOMY5ERENo5BTkRk4xjkREQ2jkFORGTjGORERDaOQU5EZOP+PwdAMOsIhY9UAAAAAElFTkSuQmCC\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\"\"\"색상과 선 스타일을 동시에 조정하는 다양한 방법 2\"\"\"\n",
" \n",
"plt.plot(x, x + 0, '-g') # solid green\n",
"plt.plot(x, x + 1, '--c') # dashed cyan\n",
"plt.plot(x, x + 2, '-.k') # dashdot black\n",
"plt.plot(x, x + 3, ':r') # dotted red"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 2. 플롯 조정하기: 축 경계\n",
"- 축 경계를 조정하는 가장 기본적인 방식은 `plt.xlim()`과 `plt.ylim()` 메서드를 사용하는 것."
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(-1, 11)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"(-1.5, 1.5)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x, np.sin(x))\n",
"\n",
"display(plt.xlim(-1, 11))\n",
"display(plt.ylim(-1.5, 1.5))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- 두 축 중 하나를 역으로 표시해야 한다면 단순히 인수의 순서를 바꾸면 된다."
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(10, 0)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"(1.2, -1.2)"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x, np.sin(x))\n",
"\n",
"display(plt.xlim(10, 0))\n",
"display(plt.ylim(1.2, -1.2))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- `plt.axis()`는 현재 플롯 주변의 경계를 자동으로 더 밀착시켜준다."
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.0, 10.0, -0.9999972954811321, 0.9999996994977832)"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x, np.sin(x))\n",
"plt.axis('tight')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- 가로세로 비율을 균등하게 설정해 화면상에 `x`축의 한 단위와 `y`축의 한 단위가 똑같게 설정"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.0, 10.0, -1.0, 1.0)"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x, np.sin(x))\n",
"plt.axis('equal')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 3. 플롯에 레이블 붙이기\n",
"- 라벨과 제목을 간단하게 설정하기"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0,0.5,'sin(x)')"
]
},
"execution_count": 26,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x, np.sin(x))\n",
"plt.title(\"A Sine Curve\")\n",
"plt.xlabel(\"x\")\n",
"plt.ylabel(\"sin(x)\")"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- 여러 선을 표시하는 경우 각 선의 유형에 레이블을 붙이는 플롯 범례를 생성"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 곡선별로 라벨링을 한다.\n",
"plt.plot(x, np.sin(x), '-g', label='sin(x)')\n",
"plt.plot(x, np.cos(x), ':b', label='cos(x)')\n",
"\n",
"# x, y의 간격을 동일하게한다.\n",
"plt.axis('equal')\n",
"\n",
"# 라인 스타일과 색상을 기록하고 이를 정확한 레이블과 매칭하도록 하는 메서드.\n",
"plt.legend()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 간단한 산점도\n",
"- 산점도는 데이터의 퍼짐 정도를 보기에 좋은 도구 중 하나이다."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 1. plt.plot()을 이용한 산점도"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 28,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"x = np.linspace(0, 10, 30)\n",
"y = np.sin(x)\n",
"\n",
"# 산점도 표현을 위해 plot의 입력인수를 'o'로 한다.\n",
"plt.plot(x, y, 'o', color='black')"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rng = np.random.RandomState(0)\n",
"for maker in ['o', '.', ',', 'x', '+', 'v', '^', '<', '>', 's', 'd']:\n",
" plt.plot(rng.rand(5), rng.rand(5), maker, label=\"maker='{0}'\".format(maker))\n",
" plt.legend(numpoints=1)\n",
" plt.xlim(0, 1.8)"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[]"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 더 간단하게 나타내는 방법\n",
"# 선(-), 원 표시 기호(o), 검정색(k)\n",
"plt.plot(x, y, '-ok')"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(-1.2, 1.2)"
]
},
"execution_count": 31,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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zfj09PaitrWXz76VAtD16QF5DGtbJpPFIdTKJuA8txOMKCgqy6yieO3fObsGlmIm6R28d0qipqeF9s29Pc3QySaFQwGQy2WVMEGIlp6w1Ry1duhQXL15kg/vdu3dx69Yt0WYZ2RJ1oAdoSCMpKQknT55kK3T29/ejuroaixcv5rllRKjklrXmiKlTpyIhIQENDQ3sucrKSskEelEP3QDAnDlzHCqVKpTNENzN19cXaWlpnHMXLlyQ1GMncT85Za05atmyZZzjxsZG3Lt3j6fWuJfoe/QtLS2cvF/rEIfYShFPREZGBs6ePcteB71eL6nHTuJ+tBDP3uzZszFr1izcvn2bPXfu3Dls2rSJx1a5h+h79BcvXuQcL1iwQFZBHgAmT57Mpl9aXbhwgafWELGgqo72bHv1NTU16Onp4ak17uNyoLdYLNi7dy+ys7ORm5trV3TrF7/4BV5++WXk5uYiNzfXIzsfGQwGzpgaANmOTdvmAmu1WnR1dfHUGiIGcspac1RCQgKmTJnCHpvNZly8eJGza50YuRzoT506hYGBARw+fBhvv/023nvvPc7rdXV1KCgowMGDB3Hw4EGHNxZ2xuXLlznDNhEREZg7d67bv0cMZs+ebbcPru3TDiHD0UI8ez4+Pli6dCnn3Pnz57F//36o1Wq0t7fz1LKJcXmMXqPRYNWqVQCGHgGvXr3KvmaxWKDT6bB3717o9Xps3boVW7dunXhrh7FYLOxiD6vFixdLLhvAUQqFAkuWLEFxcTF77sqVK1i7dq2kFrcQ95J71tpIUlNTcfr0aXaSur+/n/3/goKCMavlCpXLPfqenh7OhtVKpRKDg4MAgEePHmHnzp345S9/iYKCAhw6dAjXrl2beGuH0Wq1nOEgPz8/2dyIo1m0aBGnGFNfXx9qamp4bBERuunTpzv0PqlmrY0kICAATz75JOectf6P2WxGaWkpCgsLPTIc7Sku9+hDQ0PZ3G1gqIft6zv0cUFBQXj11VfZoLN06VJcu3ZtxO3HWltbXfr+M2fOcI7nzZs35jij0BkMBpevxXDx8fGcx/CKigrMmDFDVL0Pd10LKfD0tbDtCEyaNAnZ2dkj3i9tbW0ea4cjvHVf6HQ69rqMtmtdU1MTfve732H16tWYM2eOx9s0US4H+rS0NJw+fRobNmxAVVUV4uPj2de+++47vPXWW/jTn/4Ei8WCy5cv42/+5m9G/JyZM2c6/d0dHR12/+CrV6+2G6MWk9bWVpeuha01a9agpqaGzaO/f/8+TCaTqHpj7roWUuDJa8EwDFt73mrJkiWIjo72yPdNlKfvC1fq/5SWlvJS/8fZX7ouB/p169bh7NmzyMnJAcMwePfdd/Hxxx8jJiYGzz33HF588UVs27YNfn5+2Lx5s1u3H7MtIzrSRKRcTZkyBQsWLOAMlV24cIH94aXxemLV3NyMzs5O9tjHx0dShbycIfVd61wO9D4+PvjZz37GOTdv3jz2/9944w288cYbrrdsFAMDA3YZAnJNqRzNkiVLOIG+oaEB7e3tUCqV2LJlC/1SJABgl8yQkJDAmXeTE6nX/xHdgqmamhrOku2QkBC7xUJyFxsbazfJ1tXVBb1ej4KCAlRWVlKJBJl79OiR3T4OtpuNyIm1/g8AuzVBYxFL/R9RBXqGYexyw9PS0thJYDJEoVBILmuAuFd1dTVnc42pU6fKdg2KlZTr/4gi0FtXpbW0tHCKDCkUCln3Qkaj1WpRUVEBAKPuGtTU1IT8/HxJ7hpExsYwjN2wTVpamqB7pN4g5V3rBN8VHr4rve3GGwsWLHBoMw65oF2DiCNoEnZ0Ut21TrCBfqRd6fV6Pec9GRkZfDRNkKSeNUDchyZhR5eYmIivvvqKrf8zWk9dbPV/BDl048iu9FOnTqUyvMPYZg0sW7ZszEdxa9ZAVlYWAAg+a4C4B03Cjk2q9X8E16PXarU4fvw4jEbjqKvSjEYjenp6cP36dfY1uaNdg4gjaBJ2fFKs/yOYHr3JZEJJSQmKiopgNBqhUqmQl5fHCeQJCQnYvXs3VCoVTCYTioqKUFJSIuryoe4k5awBMnE0CeuY2NhYh+b+fH19RbPiXBA9ehpfdg/aNYiMhSZhHWPdpc5We3s79u/fzx6bzWYYDAZRbHQkiB49jS+7D+0aRGxZ05NpEnZiZsyYwVlVzjCMaKrDCiLQS31VmjfRrkFkuLa2NqjVauzfvx91dXWc12gS1nm2naKqqipRrDIXRKAHaHzZXaSaNUCcwzAMKioqUFBQAL1ej87OTs5ubDQJ65rk5GT4+DwOm52dnZzNxIVKEGP0AI0vu5MUswaI4wwGA7sgDhhab2I7EZuUlERPwS4IDg7GggULOHtVV1VVYfbs2Ty2anyC6dEDNL7sLlLMGiCO0Wq1yM/PR1NT06jlL4ChUt9U/sI1tjGnrq5O8Jl/gunRA9JdleZto2UN3L59G7///e/ZY4vFwq5XIOJG5S+8Jy4uDiEhIewOe/39/WhoaEBycjLPLRudoHr0NL7sWdHR0YiIiGCPLRYLZ1N3Ik5GoxFqtRoajQZKpRKZmZnYuXMnJ8hbWdOTMzMzoVQqodFooFarYTQaeWi5OCmVSrug7sgoBJ8E1aMHaHzZkxQKBZKTk3H69Gn2XHV1NZYsWcJjq8hESX3TDCFKTU1FZWUle9zU1ITu7m7BFlkUVI8eGBpfHqknYktOu9K7k+0vx9bWVnR0dPDUGuIOlJ7sfdOnT7fbv1bIvXrB9egVCgUWL16Mb775hj0XHR2N73//+zy2SjrCwsIwd+5c3Lp1iz1XXV2N559/nsdWkYmy1jmqr6/HCy+8MO6QJqUnT1xqaipaW1vZ46qqKqxatUqQvzQF16NnGMbuN6OQJznEyPYHu6amhpNjTcRHyptmCNWiRYugVCrZ466uLjQ3N/PYotEJLtC3trba1eNYtGgRjy2SnoULF3KyLAwGA6eHT8SJ0pO9KygoCAkJCZxz1usqNIIL9LYXKj4+ntL/3Mzf398uLVXI44vEMVT+wvtsi8LV1dVhYGCAp9aMTlCBfnBw0K4eBw3beIZtT66hocGh0hNEuCg92ftUKhUnecTRoTNvE9Rk7I0bNzj5vEFBQZg/fz6PLZKu2NhYTJ48GQ8fPgQw9EvWkdITRNgoPdm7fHx8kJycjLNnz7LnqqqqkJSUBACCWYgmqB69bcnPpKQk+PoK6neRZFhz6oej4Rvxi42NdWhfBkpPdh/b4RudTof8/Hyo1Wq0t7fz1CouwUTRR48e4fr165xz1OPwrJSUFJw5c4Y91ul0ePDgAaZMmcJjq8hEKBQKREVFsQXNAGDFihWUPutBkZGRmDVrFqeKZVdXFwCgoKBgzI2UvEUwPfqrV69yUvwiIiIQHR3NY4ukz3qDDke9enF7+PAhJ8gDNM/lDbbZNxkZGUhPT4fZbEZpaSkKCwthMBh4ap2AAr3tsA2t1vMO2yBQU1Mjio0UyMhqa2s5xzNmzMD06dN5ao08aLVadox+tIqhTU1NyM/P561iqCACvV6vx507dzjnqBfiHbaLPu7fv4+WlhYeW0QmwrbDRD9HnmMymVBSUoKioiIYjUaoVCrk5eVhwYIF7HsSEhKwe/duqFQqGI1GFBUVoaSkxOtljQUR6G2HCxytp04mLigoiHNjAjR8I1bt7e24d+8ee6xQKPDkk0/y2CLpElvFUN4D/Ugb7NIkrHfZ9vrq6urw6NEjwW+mQLhsf47mzZtHm397iG3F0GXLlo051GytGJqVlQUAXq8Yynug/+6779hcbmBo1yProg/iHXFxcZzVx/39/di3b5+g0sPI2CwWi934PA3beI7YKobyHuhteyELFy6k1XpeplQq7R7xDQYD9Ho9CgoKUFlZSRO0Anfr1i309PSwx/7+/naZIMS9rIG+vr7eoVXlfFYM5T3Q2y4XpmEbftiuQBZaehgZ20gdJqGsypQqMVUM5T3QDy8AFBoairlz5/LYGnnSarX49NNPAQg3PYyMbmBgAA0NDZxzNGzjHWKpGMp7oB8uOTkZPj6CapKkiSk9jIyuoaGB8+8xadIkKm/gJWKpGCqoqBoXF8d3E2RDbOlhZHQj5c5Th8k7xFIxlPdaN9nZ2SguLobRaMTRo0exefNmu7xu4n60obQ0jLRpDA3beJcYKoa6/GvfYrFg7969yM7ORm5url2K0ZEjR/Dyyy9j27ZtOH369KifQ0MD/BBbehgZWW1tLScjikoeeJ+jCzxDQkJ4G1JzuUd/6tQpDAwM4PDhw6iqqsJ7772H/Px8AEBHRwcOHjyITz/9FP39/dixYwdWrFgBf3//ET/LOjRw7tw5lJWVQaPRQKfTYdeuXQ6VXCWuoQ2lxY9KHvBPoVBgz549due/+OILXL58mT2OjY3lrXPkco9eo9Fg1apVAIYeXa5evcq+VlNTg6eeegr+/v6YNGkSYmJicO3atTE/j++VY3IkpvQwwmUymXD79m3cvXuXPUclD4TF9peuVqtFX18fL21xOdD39PRwllcrlUoMDg6yrw2f1AsJCeEs5hgLDQ14l1jSw8hjbW1tUKvVOHToEOc8lTwQlpiYGM7eDoODg3ZpsN7i8tBNaGgoent72WOLxcLuBmX7Wm9v74jZHLaGDw1ERUWhtbXV1eaJjsFg4OXvO3XqVPj6+rLpYaP11K3pYb6+vpg6dapH28rXtRCi4deCYRjU1tbi4sWLnL0brGbPni3p6ybG+2Lu3Lm4cuUKe3zx4kU88cQTXm+Hy4E+LS0Np0+fxoYNG1BVVYX4+Hj2teTkZHzwwQfo7+/HwMAAbt68yXl9NMOHBuS2fLu1tRUzZ87k5bsTExNRU1OD6upqrF27dsT3WHv8SUlJHp9Q4vNaCI31WhgMBnz++efspiIZGRlgGAYajQbA42GbqVOn8tlcjxLjfbF8+XJOoG9ra0NISMiEq/O2tbU59X6XA/26detw9uxZ5OTkgGEYvPvuu/j4448RExOD5557Drm5udixYwcYhsFbb73lUO4oDQ3wQwzpYXKm1Wpx/PhxGI1GBAcHY9OmTWwKclxcHJue/NFHH1F6ssBERkZi5syZnCeR2tparFy50qvtcDnQ+/j44Gc/+xnn3Lx589j/37ZtG7Zt2+bw5/G9ckzOrOlh3d3dY74vMDCQVlx6kclkwpkzZ9hxXZVKhZdeeokzDJqQkIDo6Gi2t19UVIT09HSsX7+eat0IRHJyMifQ19TUYMWKFV6dg+R9wZQV3yvH5Gy09LCLFy/iyy+/ZI9DQkK82SxZMxqNOHDgAPR6PZRK5ZgbTFN6srAtWrQIpaWl7LxKR0cH2tvbERUV5bU28B7o//M//5NzTEMDwpGUlIQTJ06wN2hnZydaW1tp03YvoJXL0hESEoK4uDhcv36dPVddXe3VQC+oghhhYWE0NCAgwcHBdpPotM2gd9DKZWmxzam/evXqiJlTnsJ7j/4nP/kJ300gY0hOTuYsdrt69SrWr1/P2VCceAatXJaO+Ph4BAQEsBuU9Pb2oqmpyWuFHAXVoyfCM3/+fM4QgNFoxI0bN3hskXyEh4djxowZtHJZAvz8/Oy2SLUtX+FJFOjJmHx9fZGUlMQ5580bVO6sQ2e0cln8bP9dGhoaHNqC0B0o0JNx2d6g169fp1r0XjJ37lxRbGxBxjdnzhzOQilvlkSgQE/GNWvWLM5QgNlsRl1dHY8tkg9/f39RbGxBxjdS0bna2lqvfDfvk7FE+BQKBZKTk/GXv/yFPVdTU4OMjAz+GiUjtHJZOpKTk3HmzBn2uKmpCZ2dnZg8ebJHF7hRj544xDY9rKWlZcyhBOI+sbGxbMHAsVB6svBNmzbNLn/+wIEDUKvVaG9v99j3Uo+eOGTq1KmIiYlBc3Mze66mpgZr1qzhr1Ey0dvbC7PZzDn3xhtviK7AFxmSnJzMKUr26NEjPHr0CAUFBWOugJ4I6tETh9n26mtqajjb2BHPsL3O06dP9+qqSuJetk9dGRkZSE9Ph9lsRmlpKQoLC2EwGNz6nRToicMSExM5C6W6urpw+/ZtHlskfQzD2E3C0qpX8dJqtfjDH/4AYGjleU5ODrKysrBx40ZkZ2cjKCgITU1NyM/Ph1arddv3UqALcTIlAAAUiUlEQVQnDgsKCrIrgUslETyrs7MT9+7dY49pu0BxMplMKCkpQVFREYxGI1QqFfLy8jg/TwkJCdi9ezdUKhWMRiOKiopQUlLC1jyaCAr0xCm2wzd1dXXsFpLE/YYXwgKG6s87slsbEQ6j0Qi1Wg2NRgOlUonMzEzs3LlzxH9HayXSzMxMKJVKaDQaqNXqCa9boUBPnBIXF4fg4GD2uK+vD/X19W7pdRAus9mMxsZGzjlKnxQf20qky5YtG3PozVqJNCsrCwDcUomUAj1xilKptCuJ8Oc//9nj6WFydOPGDc4S+cDAQNo9SoSEUImUAj1xmm2vcmBgAHq9HgUFBaisrKRMHDex1q6xWrRokUP59ER4rD8z9fX1DtW3cXclUgr0xGmTJk3irOLzRnqY3PT29tpVCU1NTeWpNWSiwsPDERMTw1slUgr0xClarRb79u2DyWTyanqY3NTW1nI2prBuMk3Ey/qLmo9KpBToiUP4Tg+TG8qdl57ExETeKpFSoCfjEkJ6mJy0t7dzJratReWIuAUEBPBWiZRmdsi4aKNq77INAiqVCpMnT+apNcSd+KpESj16Mi4hpIfJhdlstqtRTpOw0hEbG8vZfGQ0vr6+bq1ESj164hDaqNo7Ghsb0dvbyx77+/tT7ryEKBQK7Nmzx+78vXv3kJ+fzx4PDg6iq6vLbXv/Uo+eOITv9DCpM5lMMJlMIw7beHJDCiIM06dPx6xZszjnLl++7LbPp0BPHMZnepiUtbW1Qa1WY//+/bh27RrnNevm4ET60tLSOMfV1dV2+xC4igI9cRif6WFSxDAMKioqUFBQAL1ej87OTs6q4vDwcEyfPp3HFhJvSkpKgr+/P3vc09Njt2jOVRToicP4TA+TGoPBgMLCQpw8eRIWi4VdXTxcQkICTWLLiL+/v10JancN39BkLHEKbVQ9cVqtFsePH4fRaERwcDA2bdrETrjGxcWhuLgYRqMRly9fRmhoKK2IlZG0tDRoNBr2uLGxEd3d3Q5l6oyFevTEKY6mhwGgSVgbzq4u7uvrQ2lpKa0ulpGoqCjMmDGDPWYYxq64nSuoR0+cMlp6GMMw2LdvH2c3pMuXL2Pt2rXebJ5gGY1GHDhwAHq9HkqlcsxNoK2ri8+dO4eysjJoNBrodDrs2rULQUFBPLSeeItCoUBaWhq+/PJL9tyVK1ewatUq+Pi43i+nHj1xC4VCgYyMDM65y5cvuy1rQOyEsPkEEYcnn3ySU466u7sbTU1NE/pMCvTEbZKTkzk53z09PXZb4ckVrS4mjgoMDLTb3Geik7IU6InbBAQE2GUNXLp0iafWCA/fm08Q8bDNqddqtZwV086iQE/cynb4pqmpacycezmh1cXEUbNnz0ZkZCR7bLFYJjQpS4GeuFVUVBSio6M556hX/xitLiaOUCgUdlVir1y54vI2nRToidvZ9uqrqqowODjIU2uExdnVxb6+vrS6WKZSUlI4mTadnZ1obm526bMo0BO3S0pK4mSIGI1Gh4Yq5MDZ1cVz586l1cUyFRISgoSEBM65y5cvu7SmwqU8+r6+Przzzjvo7OxESEgI3n//fbsxxLy8PDx48AB+fn4ICAhAQUGBK19FRMjPzw8pKSk4f/48e+7SpUu0S9L/c2Z1MRU1k7e0tDROJ6murg63b9/G8uXLnfocl3r0n3zyCeLj43Ho0CG89NJL+PDDD+3e09zcjE8++QQHDx6kIC9DtsM3LS0tuHv3Lk+tEZbY2FhOnvRowsLCEBUV5YUWEaFSqVSYMmUKe2w2m11KbnCpR6/RaPD9738fAPDMM8/YBXq9Xo+HDx8iLy8PDx8+xN///d/TCkmZiYyMRGxsLJsHDgzdNxs2bOCvUQKh1+vt5ixef/11u3rkANDa2uqtZhEBUigUSExMREVFBXvOthPliHED/dGjR/G///u/nHMRERHsxtAhISEwGAyc100mE3bt2oVXX30V3d3d2L59O5KTkxEREeF0A4l4ZWRkcAJ9dXU1nn/+eU4pVjkaPqQFALNmzRoxyBOi1WrZxVLDC+ANL3zmiHED/SuvvIJXXnmFc+6HP/whm7zf29trt3FxZGQkcnJy4Ovri4iICCxcuBC3bt0aMdBTj2WIwWCQ3LWYPHkygoKCYDQaAQADAwM4c+aM3QSTLSleC6u+vj67fOj4+PhR/75SvhbOktO1GBwcxLlz59DQ0ABgaAjnpZdeYjvYznJp6CYtLQ3ffvstkpOTUV5ebldHu6KiAn/84x+hVqvR29uLGzduQKVSjfhZVIJ1SGtrqySvRXp6Os6cOcMe37hxAytXroRCoRh1izypXgsAOHv2LKf+z+TJk7F8+XIolcoR3y/la+EsuVwLZwrgOcqlydjt27fjxo0b2L59Ow4fPowf/vCHAID//u//Rk1NDVavXo05c+Zg27ZteP311/FP//RPtLJPpmw7Ae3t7fjwww+hVqvR3t7OU6v4YTabceHCBc65xYsXjxrkiTw5WwDPES716IOCgvCb3/zG7vy//Mu/sP//b//2b663ikjGlClTMH/+fM6WaN3d3QCAgoICt/RWxOLatWt4+PAhe+zr62tX04QQawG88vJy6HQ6uxWyrqAFU8TjbFd2WrfNM5vNKC0tRWFhod2EvhTZTsKmpKQgODiYp9YQIXO2AN54KNATj9JqtSgtLQUwlDWQk5ODrKwsbNy4EdnZ2QgKCkJTUxPy8/Oh1Wp5bq3n3LlzBy0tLZxzTz/9NE+tIULnbAG88dAOU8QjTCYTvv76azYNbKSsgYSEBERHR+Pzzz9HU1MTioqKkJ6eLskVtLa9+Xnz5mHatGk8tYaIQWpqKpqbm1FdXT3h4Rvq0RO3MxqNUKvV0Gg0UCqVyMzMxM6dO0dMDbNum5eZmQmlUgmNRoM//elPbEqmFBgMBtTV1XHOUW+ejMfRAniOoEBP3G6i2+YNDg5Katu8ixcvwmKxsMcRERGIi4vjsUVEDBwtgOcIGrohbudq1oB1FW18fLwksnBMJhNMJpNdPf6nn35aEn8/4nmjFcDbuHGjU59DPXriERPZNm/+/PkebZs3tLW1Qa1WIz8/nzMMFRgYSBuJEIfFxsYiLCxswp9DPXriEdasgebmZtTX14/bqx++bZ5tSQ0xYRgGlZWVKCsr4wzXWKWlpcm+1g9xnEKhwJ49e+zOO1vrhnr0xGPktm2ewWBAYWEhTp48CYvFwq4XGC4pKYmn1hE5o0BPPMbZbfP8/PxEu22eVqtFfn4+mpqaRl0vAACFhYWSXi9AhIkCPfEYZ7fNW7hwoei2zTOZTCgpKUFRURGMRiNUKhXy8vKwYMEC9j0JCQnYvXs3VCoVjEYjioqKUFJS4tKWcIS4gsboiUc5s22eOyadvMmZKoPW9QLnzp1DWVkZNBoNdDoddu3axfb2CfEU6tETj3Ima6C2tpZTwlfoJrpewGQySWq9ABEu6tETjxotawAYGpv/3e9+x2anPHjwABqNRjS7LU10vUBKSgrl0xOvoB494U14eLhdmd7y8nJRjV1PZL2AmDOMiLhQoCe8Wr16NWenqd7eXtTW1vLYIuc4W2Vw+HoB2oyHeAsFesKr0NBQLF26lHOupqYGjx494qlFzpPbegEiPhToCe+WL1/OyTwxmUycfWaFLjExEb6+vrJYL0DEiQI94V1gYCBWrlzJOXfhwgV0d3ezhcGELCAgAKGhoQAcWy+QmJgouvUCRNwo64YIwuLFi3H+/Hl2T1Wz2Ywvv/yS7SFv2bIFM2bM4LOJo7p16xYePHgAAA6tF6BhG+Jt1KMnguDn54fVq1dzzl2/fh16vR56vR4FBQWorKwEwzA8tXBk1l9IjgoLC0NsbKznGkTICKhHTwQjNTUVZ86cQVdXF3suIyMDDMNAo9GgtLQUjY2NdlsS8qmiogJ6vZ5zbteuXZg9ezZPLSLEHgV6Ihg3btxAb28vgKGNxDdt2sTWjImLi0NxcTG7kfjmzZs59WT40NXVZTdM89RTT1GQJ4JDgZ7wbiIbia9fv56Th+8tDMPgxIkTGBwcZM8FBQXh+eef93pbCBkPBXrCKzEVBrNm//j5+UGr1eL69euc19etW4fg4GCPt4MQZ1GgJ7yyLQw2Xr0Ya2GwwMBAFBcXe60wWFtbGz777DMAwKZNm3DixAnO67Nnz2YXThEiNJR1Q3hlLQwGADqdzuE/563CYAzDoKKiAgUFBWwG0Mcff4zu7m72PQqFAllZWVSgjAgWBXrCO6EWBhtta0DbFM+lS5fiiSee8Fg7CJkoGrohvJvIRuKeKgym1Wpx/PhxGI3GUTOAjEYjFAoFoqOjPdIGQtyFevREEIRSGMzZrQEZhsGxY8doa0AiaBToiSA4u5E4AEyePNmtbTAajVCr1dBoNFAqlcjMzMTOnTtHXJxlzQDKzMyEUqmERqOBWq2G0Wh0a5sIcQcK9EQQnN1IHACOHj2K9vZ2zusTKYJGWwMSqaIxeiIYzmwkDgxNyhYWFmLXrl0IDw/npEC6UgSNtgYkUkU9eiIYzmwkbtXb24s//OEPOH36NCcF0tEiaLZPAELNACJkIqhHTwTDupF4a2srZs6cOeJ7GIbB119/jfPnz7Pnuru72ScAZ4qgjfQEEB4ejtmzZ6OlpUUwGUCETBQFeiIqCoUC69evR19fH2e83pkiaAzDoLKyEmVlZbBYLACAgoICPPfcc0hISIDBYAAwNB8wXqCnrQGJGFCgJ6IzODgIX9/Ht64zRdCWL1+OP//5z2hqagJg/wRw6tQpNvhbM4BG66nT1oBELCjQE1GZaBG0y5cvg2GYMRdBDVddXY21a9eO2BbaGpCIxYQC/cmTJ3HixAn86le/snvtyJEjKCoqgq+vL3bv3j3qDwshznClCFpGRga0Wi10Oh0YhnHoCcCKtgYkUuBy1s0vfvEL/OpXv2Ifc4fr6OjAwYMHUVRUhN///vf49a9/jYGBgQk1lBDA+SJo1kVQOp3OqUVQPj6O/WjQ1oBEDFzu0aelpeH555/H4cOH7V6rqanBU089BX9/f/j7+yMmJgbXrl1DcnLyhBpLCAA2172+vh4vvPDCmMMmgYGBbCfDlTLIYWFhePPNNyk/nojauN2Wo0ePYuPGjZz/ampqsGHDhlFv/p6eHk6PKSQkBD09Pe5rNZE1axE0k8nE5rCPRqFQsAunhFgGmRBvGLdH/8orr+CVV15x6kNDQ0PZvT+BoUUto23m3Nra6tRnS5XBYKBr8f8cuRaxsbFobm52KAXSmi7pyBMAwF0EFRUVxeu/C90Xj9G1cJ1Hsm6Sk5PxwQcfoL+/HwMDA7h58ybi4+NHfO9oC2PkZqxFQnLjyLWIiIhAZWWlQymQbW1tUCgU7BOAM4ugEhISXP57uAPdF4/RtXisra3Nqfe7tQTCxx9/jLKyMkybNg25ubnYsWMH/vZv/xZvvfUWpZ8Rt3K2CJq1ZjzfZZAJ4cOEevRPP/00nn76afb4tddeY/9/27Zt2LZt20Q+npAxOVMEbdWqVTh27BgtgiKyREXNiGg5WgQtLCwM8+fPd+oJgBZBESmhlbFEtKxF0BzlzBMADdsQKaEePZENZ54AaBEUkRLq0RPZcPYJgBCpoB49IYRIHAV6QgiROAr0hBAicRToCSFE4ijQE0KIxFGgJ4QQiaNATwghEkeBnhBCJI4CPSGESBwFekIIkTgK9IQQInEKhmEYvr5co9Hw9dWEECJq6enpDr+X10BPCCHE82johhBCJI4CPSGESBwvgd5isWDv3r3Izs5Gbm4udDodH83gnclkwjvvvIMdO3Zg69atKCsr47tJvOvs7MTq1atx8+ZNvpvCq/379yM7Oxsvv/wyjh49yndzeGMymfD2228jJycHO3bskO19UV1djdzcXACATqfD9u3bsWPHDvzkJz+BxWIZ98/zEuhPnTqFgYEBHD58GG+//Tbee+89PprBu+LiYkyZMgWHDh3CRx99hJ///Od8N4lXJpMJe/fuRWBgIN9N4dX58+dx5coVfPLJJzh48CDa29v5bhJvvv32WwwODqKoqAg/+MEP8MEHH/DdJK/76KOP8O///u/o7+8HAPzXf/0X9uzZg0OHDoFhGIc6iLwEeo1Gg1WrVgEY2sfz6tWrfDSDd9/73vfw5ptvssdKpZLH1vDv/fffR05ODqZPn853U3h15swZxMfH4wc/+AHy8vKwZs0avpvEm7lz58JsNsNisaCnpwe+vvLbFC8mJga//e1v2eO6ujosWbIEAPDMM8+goqJi3M/g5ar19PQgNDSUPVYqlRgcHJTdP2JISAiAoevxj//4j7Le5u6zzz5DeHg4Vq1aBbVazXdzeNXV1YXW1lbs27cPt2/fxu7du3HixAkoFAq+m+Z1wcHBuHPnDl544QV0dXVh3759fDfJ69avX4/bt2+zxwzDsPdCSEgIDAbDuJ/BS48+NDQUvb297LHFYpFdkLdqa2vDq6++is2bN+PFF1/kuzm8+fTTT1FRUYHc3Fw0NDTgRz/6ETo6OvhuFi+mTJmClStXwt/fHyqVCgEBAbh//z7fzeLF//zP/2DlypX4+uuvcfz4cfz4xz9mhzDkysfncdju7e3F5MmTx/8znmzQaNLS0lBeXg4AqKqqQnx8PB/N4J1er8euXbvwzjvvYOvWrXw3h1d//OMfUVhYiIMHD2LhwoV4//33MW3aNL6bxYv09HT89a9/BcMwuHv3LoxGI6ZMmcJ3s3gxefJkTJo0CQAQFhaGwcFBmM1mnlvFr8TERJw/fx4AUF5ejoyMjHH/DC/d6HXr1uHs2bPIyckBwzB49913+WgG7/bt24eHDx/iww8/xIcffghgaOJF7pORcrd27VpcvHgRW7duBcMw2Lt3r2znb/7u7/4O//qv/4odO3bAZDLhrbfeQnBwMN/N4tWPfvQj/Md//Ad+/etfQ6VSYf369eP+GVoZSwghEkcLpgghROIo0BNCiMRRoCeEEImjQE8IIRJHgZ4QQiSOAj0hhEgcBXpCCJE4CvSEECJx/wfPZUcxsy5YTAAAAABJRU5ErkJggg==\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 다양한 선과 표시 속성을 지정\n",
"# p : 오각형\n",
"plt.plot(x, y, '-p', color='gray', markersize=15, linewidth=4,\n",
" markerfacecolor='white', markeredgecolor='gray', markeredgewidth=2)\n",
"plt.ylim(-1.2, 1.2)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 3. plt.scatter를 활용한 산점도"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter(x, y, marker='o')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"- `plt.scatter()`의 경우 각 점의 속성(크기, 표면 색상, 테두리 색상 등)을 개별적으로 제어하거나 데이터에 매핑할 수 있는 산점도를 만드는데 사용할 수 있다."
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rng = np.random.RandomState(0)\n",
"\n",
"x = rng.randn(100)\n",
"y = rng.randn(100)\n",
"colors = rng.rand(100)\n",
"sizes = 1000 * rng.rand(100)\n",
"\n",
"plt.scatter(x, y, c=colors, s=sizes, alpha=0.3, cmap='viridis')\n",
"# 색상 척도 표시 - 다차원 데이터를 표시하기 위해 점의 색상과 크기를 사용해 정보를 전달 할 수 있다.\n",
"plt.colorbar()"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5,0,'sepal width (cm)')"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\"\"\"Scikit-Learn에서 제공하는 붓꽃 데이터를 사용해보자.\n",
"이 데이터에서 각 표본은 세 가지 유형의 꽃 중 하나로 그 꽃잎과\n",
"꽃받침의 크기를 세밀하게 측정한 값을 가지고 있다.\"\"\"\n",
"from sklearn.datasets import load_iris\n",
"iris = load_iris()\n",
"features = iris.data.T\n",
"\n",
"plt.scatter(features[0], features[1], alpha=0.2,\n",
" s=100*features[3], c=iris.target, cmap='viridis')\n",
"\n",
"plt.xlabel(iris.feature_names[0])\n",
"plt.xlabel(iris.feature_names[1])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 4. plot과 scatter의 차이: 효율성 측면에서 유의할 점\n",
"- 데이터세트가 수천 개가 넘어가는 경우에는 `plt.plot`이 `plt.scatter`보다 확실히 더 효율적이다.\n",
" - `plt.scatter`는 각 점에 대한 다양한 크기와 색상을 나타내는 능력이 있어서 렌더러가 각 점을 개별적으로 구성하는 추가 작업을 해야 하기 때문이다.\n",
" - `plt.plot`에서는 점이 기본적으로 항상 서로 복제되므로 점의 모양을 결정하는 작업이 전체 데이터에 대해 한 번만 수행된다."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 오차 시각화하기"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 1. 기본 오차 막대 (`errorbar`)"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.style.use('seaborn-whitegrid')\n",
"\n",
"x = np.linspace(0, 10, 50)\n",
"dy = 0.8\n",
"# 오차를 일부러 준 상황\n",
"y = np.sin(x) + dy *np.random.randn(50)\n",
"\n",
"# 오차구간을 0.8을 준다.\n",
"# 선과 점의 모양을 제어하는 포맷 코드\n",
"plt.errorbar(x, y, yerr=dy, fmt='.k')"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 36,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# errorbar의 색깔 및 면적을 조절한다.\n",
"plt.errorbar(x, y, yerr=dy, fmt='o', color='black', ecolor='lightgray', elinewidth=3, capsize=0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## 밀도 플롯과 등고선 플롯"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [],
"source": [
"plt.style.use('seaborn-white')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### 1. 3차원 함수 시각화하기"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [],
"source": [
"# 3차원 공간에 정의되는 함수를 정의한다.\n",
"def f(x, y):\n",
" return np.sin(x) ** 10 + np.cos(10 + y * x) * np.cos(x)"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[0. , 0.10204082, 0.20408163, ..., 4.79591837, 4.89795918,\n",
" 5. ],\n",
" [0. , 0.10204082, 0.20408163, ..., 4.79591837, 4.89795918,\n",
" 5. ],\n",
" [0. , 0.10204082, 0.20408163, ..., 4.79591837, 4.89795918,\n",
" 5. ],\n",
" ...,\n",
" [0. , 0.10204082, 0.20408163, ..., 4.79591837, 4.89795918,\n",
" 5. ],\n",
" [0. , 0.10204082, 0.20408163, ..., 4.79591837, 4.89795918,\n",
" 5. ],\n",
" [0. , 0.10204082, 0.20408163, ..., 4.79591837, 4.89795918,\n",
" 5. ]])"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"array([[0. , 0. , 0. , ..., 0. , 0. ,\n",
" 0. ],\n",
" [0.12820513, 0.12820513, 0.12820513, ..., 0.12820513, 0.12820513,\n",
" 0.12820513],\n",
" [0.25641026, 0.25641026, 0.25641026, ..., 0.25641026, 0.25641026,\n",
" 0.25641026],\n",
" ...,\n",
" [4.74358974, 4.74358974, 4.74358974, ..., 4.74358974, 4.74358974,\n",
" 4.74358974],\n",
" [4.87179487, 4.87179487, 4.87179487, ..., 4.87179487, 4.87179487,\n",
" 4.87179487],\n",
" [5. , 5. , 5. , ..., 5. , 5. ,\n",
" 5. ]])"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\"\"\"plt.contour는 x값의 격자, y값의 격자, z값의 격자라는 세 개의 인수를 취한다.\"\"\"\n",
"\n",
"x = np.linspace(0, 5, 50)\n",
"y = np.linspace(0, 5, 40)\n",
"\n",
"# 1차 배열로부터 2차원 그리드를 만든다.\n",
"X, Y = np.meshgrid(x, y)\n",
"Z = f(X, Y)\n",
"\n",
"display(X)\n",
"display(Y)"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 40,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 선으로만 구성된 표준 등고선 플롯을 그린다.\n",
"# 단색이 사용되면 음수 값은 점선으로 양수 값은 실선으로 표시된다.\n",
"plt.contour(X, Y, Z, colors='black')"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 41,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 색상표를 지정해 선에 색을 입힌다.\n",
"# RdGy : RedGray의 약어\n",
"plt.contour(X, Y, Z, 20, cmap='RdGy')"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\"\"\"색으로 채워진 등고선 플롯으로 바꾸기\"\"\"\n",
"\n",
"plt.contourf(X, Y, Z, 20, cmap='RdGy')"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"(0.0, 5.0, 0.0, 5.0)"
]
},
"execution_count": 43,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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iMtZ5afsu/Fw8ukAy2kM6LpGOvw4x3nEyl6zE+PSTe9423dT8N3B5CYWX5HE2TYM0TXsARkAdgglxbcQdkuQhHF8EXnz8bRov23CjBGL8t4Svt50It7Xw9w8d2zebXXQAs8bAGu2IfGtcahr9mPtCvC8gDlwhcR8+J8SBme4YhHJeGBDlv7hxXoofL4AeP7UJaGOfxQZhmOAIeTA+yDiAkRdGejQa8NwD895ElxWjG5t7KtxDk1J6DRzxOFxflY12geklkNUMajFDMauwPL+P0WwJXWs0ixaT1mCvdcS947+IzCcPzHRhJZA9WiGbpEiKAyRF5kLJwvFhSVpAJDlGo9P+JiZOjI8JCiWXy2WUQyVQIxCLedZ0DcJJIfSW6HxxjygW5nHvmf8/Nibobwkcn0gP7GIQ+RfbviEe2CaOZxuviz/Taz4zx7wwChHXvDCyzkNzByiJpoke8+pP1i/4EC9GMzMnZ8PfxI2HGjyM5DcZhZMEXvyGoywkl1XQ//k5jnlhfDCXZYmDgwPPf6VpuspK7p7ysgo720d2cB7FJQeO1J/VqGcZRrMG48bAySpcVpLrwrhebDJrkD1a+aykKrNVKFmOIZMcKsl8VpJfbwK0uq7XspL8Ny6XSxhjPIEfjjt+vXhWl85NaDH9Ib+msckunLz5OKBJhYtdYx4Y/fbjMpqwNtn/Og/Msh9sjYawupeJBNZvdD4zhSAWu/GHspChF4Y0W4EW98LcQaxeB3qwIckHfx1msoYGAg8vwpk6NjhiejB3TiyAVTjDqwOMMT3+K/TCeGaMwi9+rvhvM8b0AHDFgeX+/+X4DFAvIHf3ofYfRXHJAer9Gdp5hfqgcbKKqkVjLTK50oWtCP2VXqyQwskqlITKFFT6CJIiR1JkEHkJkRVAmiE7/WSMRiPvmdA1JwCj38TDsNBT4yT+0I3JQ3EClzDUCkO6WBjJx0xM+MyNjiUsFQvB67gBbJsQ8ptxCdmLl4WkWU+blQ7MfbBRrEkWI8zJOFF/mJxi5fEIL1j1XphgHleYjRywTR7YUdLasUEYk2v4WZtCceE8RqXWQ0ECMfJKQi6MwsFQ3EqzPd1gxjhZBSnY6W+pZClNU6Q7O47Q35lBnt5DNt9HuTeHXtSoD2o0swbjvWWP98qkYKQ+SSuAmTbYqzWSx5aQqYTKJLKdx5COCoj8//NZSaQlxqee5I/ZWtsTu4YAw4176xQuE9cXjsFQi8XrUukacYAMQ8mYcW+Mvxd+n5P4dJz0IKAOKw8ej20TQv6vATCjB1xNE/e+YiEk/3wIGDhg8UwQBy/uXSivxO+8MMpIUvhIDyFh7eZBGB77plmV25pniH5YTIMkDB/9PkzrVOFSOk0oACGTXgjJB3/ohRGQUUExnTtu/MbgKna+DcpKZlnGCP1zsPN9lIsZ2qruFPot6lkNPLTwWUjnhfVvFp6VrOcN1J5CWlZY7PCs5P9AlGOorIBIc4zHOz2AoVAy9K7o3HDNG51vkjFIKb22LMYP0rbDUJ4nE+iZA0+ME9smVIuFjiGA8QqEx2snAHaY0UVk3AA9x0Br6GRSmBNyN+HNG/PKFHld3Asz6IePW3hhZBdaRLtJzMoHeWygeA9Mtw6A+baMgcoKf6PSOSCA4YXboRfGb2B+jORVEIDleY6DgwPfwYLErcSL5R2IydOXekKfFPrl3hJWW5iHFw6k1ErMSp4Y0M9Kyr0l0jJB9WiFdLyHpMihsgQid/owmeRIOj6Me+NcV0XX/eDgwJfu8OwkfYeAgsCLf8Z51FCMKqVc8754qBeCZcz4hMe/G9azUq0nARd1HzkuOwGwiHkRK91sgRI/1E3FwGvTSQ1BjA+asKTIWtuVgBjnxVD9o8R6+CglgBVAhJ5QzAMD0PPCYhkw/nqbwR2eK8C6ujxW1cCPOU1zP8go48g9MKpppEwin9nD0IlCS5JP8BIcavnDhbLZ7i7E+DRUvYBdzJBXM7SdNmy5t4SuDXRtMNEVKp+NdFwe974yaZx6vxO4pmOXlZRpApkmUKMRRCdyRZIjO3WZ14cRgITnGUDvN9IkyCeUGI3BxxIlSjiPRdnf8MFbQdHfH3adY2ODe2DkedGEUhTFsYaQJzKKAfMgRjyY1ZDSqaVjoeNQVig0Tnbyi86zQXFBq3QCVmWcNyPWw0egnzUcshjQHuaVhds7jMgHQu/LrLww90fdAbjiYlKik0fAAayu6x6IkRdGvFbo2ZLXQt+h1yStoG14hf7kDNA4Ql/O91Fcso9mXmG0N+8ATGNatThoDRZdidFCrwtblXDEvpo1SB5aQKWqI/WTvko/dXWJ5e5l0Hq05l1xEOHnOKwHDS0EkKIonAcf6WLBx9eQB8ZBjNumsRIeQ4wHe6I9sMM+/0bYsQOY6QYk58F8NpINmJgObNsTNARe4YwZilmdoDUBZON4L18bKYPwcTOPxY/zsKwSHa+UfQV9OKhjN9Oap2q1A6/OC7OG1ZcSX5iPfdkKEc+cvwozigRM/GaiG4dnJXlmmBP6/P9Ztou0I/RVNYeZ7SHfnyM/NUFbNWgXLepZg3LRoDIS2hooYXsE/0JTaOmKwMvzFVQmIZSAUAKqzKCKDCJJIfISSiUQSY7x5JKerILCOvKG6HfF6kHDjF7o0fP60rCGMtQe0v7CiOBCvS8+gXAvjB7UrPK4jH7Xt5o9YUdsWUcKoVbgFd70fJYLi5hDi4FXCGThc5IoV8/GiXDqLBAo8YfS4fS8bagbWuxmCV9H99u4BIQlT4ySEdbACgnR1XyqtBwEMN5MkW62PM99Y0aumwLQm/2llL2eYSRwnc1mvtvD7u5piHoBdaqCme2hqOZoZhV000LXGm3V4tSsgbaNF7A6ct+w/zux60IbHLQC2UGDpHCcWDreQzoqXdcKxocJlfhQks4l19zFZBMx74hALnZdKUHAQ+oY6BBPxUNAPg75BMz3G46JIS+M+ptVVbXliDvctgkhj7N4/LjsonNgXAsWcjdHCR3J+AUPPbGwrU7/AQhqq6Nbx4Fx8BIqKjYdstixblJY06ANs5D0moeuawDKAMtzYbrLIIplD3zTfOK9Bq01iqLwNxcHMBK3UiNEOhaa+emGphuWutSGHBgPKUfTs0C9gLrkMthqhtF8DtO0ME2LtnIP86CBYkk00oWp7ibhzQ8pK6kyhXQ8Rzp6zIWSaeb4sCQF0gzpbu5BrNfUEn2hJv2mEKzouhA5L6X0LXuMMWtcIM/8crCpqsqfW8r28gwlHwdD4yQGYKEHdpwAdhJCbjKjo+HjJi1YGLr4TZlVWU7Me+E8WEzQ6v4+WTWos4EGrJtVOXgM1beF/z9M0EqDlqu1Q4ElvQ7Nb5c8LwIvAjIAVspV8KvSXrvlUEbBuTAeGoUlKnTeSMEupSsvIjGrlK7XFv3fha+7SCdnIJsFVDVHspihrFu01RK6qlEfNNC1Bh6tfOhYKuGzkUNZSakEsnGGtNyDKjPILEHJulZYmSI/dRnMeNy7/tbatcwkDy35OSdQ42OMnkPwinlzoQdGWcrD+DBudJ5jYSRVGlAS5rjsBMCYRfuBuQ+8kDUMvw77Pzd+k4WDg3sRvKslf62U6jywbgAw74tnIzcBVwiu217csNRkmxDSb9t0Hq1uV+BF4SRt35guTE+QjHa94p7LKriWi4SueZ77m44XjIcdXAmwSFIhpex5X8SrhaFkVle+Y0Vxeum8MG0xedRlJTNpvE5spRdzYWQmBVRjIPdqzB+aQ2USMj0P1WUmRZJCpFnX9y1BuXMOxox6Exc/v/Q7uGqfW3gdYt4XH6N8+7xOk7yvsBogjAr4fsJjCEGMZyJD/d7jsRMAGzAXRsZnHDppnMznpPi2ad3QjR9qq8M/U0J2XFizAi+5ykBuk4XkvyH2/pDFuBA+eOP7tKsQ3BgPXrZZAkZDpBn7qvHtj7Os6JXEkA6MuLCqqjyAkWSCk8N8oqDrEhaE8xCSdx8ddWVG6vQ52LpCuazQzCs0Mydw1bVGUbUYa4MDJf0iIARiLiPpspIAoBcN5KMVkjKBTBWEcj3dXKlRx4epBEKlGE/PRgGMQIDMGNPj/sIJhX43hZT8d8ekMuStcu1WbNtDFpvQOIAtl0tkWYbFYvGElxL9r+LArLb9ZoYURpr1UiLgcEHr0MkNw8PQ4+JcCH1Xyo4Dk7ILIVlXViE9b7eJxI+9v+kCh2EpEOfBQg+tZzx8tE7P5ldXQpc7NQZIM9gmgWgcuc05Li5oJS+MViYib43zRbwHFHlyvMMoAA9gBFyeGzt1CgmFknUFu5ihuGSOZrZA03Ws0I3GpGox0y5U1OwcraQVq8xkOWuQPlpBKuEeaQJVZJgUhVtsQypImUKoBKPRdI0LJTDn3lNMakG/mUqT6EF/G6M3aF9cmR96YbTtbcCHjo1WMqKFV/jqRsdlJx7Ytma1v9kPI/E3gVg4u9J7fECGPEgIbIK8MF4TKSWg4wW5ZJsuZKxFMT9GfixD4MtvuOhxdGQ+NYm0HYBZoyGSzPX7FwpIFoBMkJZTGJN5b4BAjAhn6ntfliW0XrVmDlfPoePhXAwR+1wbRgXfi8UC0+kqlLSLGYq6gl7U0FUNoy2sttC1wc7DC0jAhYvCdGCGaGaymDVIigRJUSMpD5COC5eVzAogSX3Rt1JOdMsnBTq3YRhInmcICiF3RuEnXWu6pvxa8wJsCvl40oCD6TbGjzss6D4uo8lnk/2vU+IDnZCVbrZQPd5ZjBPbNowE4nIKHj6G5UUEIJ7M78knxNqAjxmfhS90ZhrKQIZeWNQb67xYWAPb1u7R1N2REwem3SpM9cJp3VSKJFmVFfEM5Gg06oEY3XQUbhKhzb2GsN9WWZYoiqLXdoc8MqWUy0q2S+eF1ZWvlTTawGoD3Th5hZo3UK0TsepubUnKSvL2O+WiRTJroLKlWwxkfIB0XEKmCTIpHamfpLAyRbZ7DrYDMf4IdW90PWMrHIWTJF3/UBDLPbAQyMgri02q4RjbFG1wju04AewkhNzWIiFkmHmk1xzEhoAklmXkIBWKWtfEmYpOwWpprRi5ehh3cVj/MnodI22HvDA6nqgRF9Y2QNt06xi6lcZtW0NK5ZeSE0JBjVa98kMQozCyLEufpqcwkW4aOic8pU+2v7/v++jzvvyrZcV2kU7OAk0NVVcwixnKqoZpGi+taGYNhBTAQe27VADMc+14sca6kDLdc/tXmUTykGuAKKSEVBIyK6CJ1JcS+c45gMkrwmvJQcnvLyj/Cb392DWk//NwkYeRXKV/IRaOa9rGcXJgmxpy8u98s9kTWMzNpRS2F0YC65owem+TJzZE4nMvLMZ/cTCj7YdeFw/jwv0N2WGlIWShxCNG8A6Hj533pV2XW6u148E68IKUDsSkcvoooZzIVSVIy10PYlQiE/PCYqv4kBGHRPooqhHky5ZxAKPn3d1diMlpx4ctZsjqCqZpoZvWNUA8cGGwaQxq06AyArUh72uVmfTEfmOAvWWXkVRQ2WOubbiSkGkCKPf7ZbcmaD45C915YqFMJJRTGNMn9uk7IaiFz/x6cgAjwOeVAkMhZDhZk3fI6RHa3nGGdEflwIwxuPXWW/HAAw8gyzLcdtttuOKKKwAAX/jCF3D77bf779533334wz/8Qzzzmc/Ei170Ilx55ZUAgBe84AX4mZ/5mSMd90UDMKMtKyFixdxBGBnTgR0WloVhF38vBl4hkIVgthVwbDAOXDwpEQO8mBYsxn/x3xo5AQ68yPtqGwhpYNH4UNgAQJJCsvUwRVb2AIy0W3zVIcpIEifStq3/Tfxm5wA8m816xD5lJsMaysn4DFBXUKcXsNUMeceHtR2AWePqJSeNdgLWXt8wykz2Ffvy0aWvlRTqvLseaeJErkTqCwUhXChL156uQWwiIaKeS0hiWq4YDcDBjt7nRD59xsfkYRYDMSokPy47agj58Y9/HHVd4+6778Z9992Ht7/97bjrrrsAAN/7vd+L97///QCAv//7v8e5c+dw7bXX4l//9V/x4he/GL/5m7/5uI/74ujAOCCwlYm8sTAylpLmIEaPw9x3PmDCrhQ0UGO6sN5xByr4jUQ6hmetw8JJPpOHQtYYmMX2T9IUWm+gJ1WRCqgr2GruPDEVKEQKAAAgAElEQVQpYZcJRJojHZ/xbVqKovCFweSF1XXtCf3FYtE7p+G5ovfIA5vNZh6sRqNRVFqRTy/pVPoVbNugbGq0lXsAbuLTtcGucSrzyriW0wAv/CZvDMiWLZK9GkmZuDbU6QGScQFVZitSP0n96uxlOY2e8/A6GWN8z31jTK/9dvi3fOyF45AAjR6HjSlgczcW7vV+M3hg9957L6655hoAwLOe9Szcf//9a9+Zz+d497vfjT//8z8HANx///34/Oc/j1e96lU4c+YMbrnlFpw7d+5Ix/2EhJCWeWDWGAj0i7mHgIxbKBokC72xmBfGeTI+kw3pvWKDbBs92JCFHh4wzHvx4+ofR4RApcVStO6XbKHLSiYpjJSODxMSyEogXfSWWCvLskfo02sCMTpvVE7Ej588FAppDg4OvFaKgxcVfKdpimRnB2p6FtI0UG0Nu6xQVjXaaulLz6y2rhnAQY1MuxIj6p3PSX0lHLFPHNoydWCdjA+6VtSPQCQpdFYgSTNYlUB1NZPhtQ6vVzjOCPTCHvshcc9DSC7bIPDiXli4n01j/zA50eO1bbKQMY/v4OAAk8nE/5/GBC8M/9CHPoT/83/+j18G72lPexquuuoq/OAP/iA+8pGP4LbbbjvyMmvHDmBDKnwbCSMP48F4SEknb5M3FgMCDl4hKGxywTmwhTPvkF0IiG0jpQjBTAR9y2Iyim5n7v9SrfgwpWCXM4gkRzI+3Wt0SCDGAYwKhon05wuyktH546sYUScMykxSeREvV5pOL4HQDVTjACyrK4yqugMv00krNKyxUAvan/EdKkJpxbLWSA4ayNR1rcjOHziVfrZS6us0g5IJrEyRTM96eUWYneZjif9O8upDop+DF+9CQeONe2H8/3xcDY2p2H0RnvvjsqOGkJPJBLPZzP/fGLPW1eKjH/1oD6Ce+9znoizdOpvXXXfd41oj8qIvbNu7cbV2fkRXTgSsLlK4cEVMKBjdx8CNHwsjuRe2KTTlWrHjNB4yhsdON8O2YYYHKQofjVmFkh7AnDzEAI4LSjLYJIdIMuTljs+MEe9VFIUPJckD4yQ0iSe5ZwvAZ9r4DRfWWPJSI6UURpMzQFtDNUvYukJRVx14GUfsL1pYYyHkEpg1Dqzk6gbinVwzbZDOaogO2dIygUoPHIBJiZFSblEXKX1mMmUgxs+1MQaj0ag3fogvpP+HekT6DnldIWiFr0M+llssfNwmvHu8dtQQ8uqrr8Y999yD66+/Hvfdd58n5sn29/dR1zWe9KQn+fduueUWvPCFL8T111+PT3/603jGM55x5ON+goq52UXqGvENFXMD6xeR/h/OOqFnFCNaubcVejTGmOiswjky/l0OKEM8xTagS5zdYfxXuH8VtrumEJLAq218ZhJwzJF0O3Cds7MCIpkBSQaotNeZlbwwDmLUc4p0YYvFone+OIjxtRSVUj4RQNePeDACsCTZRTa9pK8PM9q13alqtIsWptFOK9Z1pqhMuLr3ShtGWUmrLVSmWKmRhMwSFEkKIRVEknWev0S2cw66KNYmOO5xcXDiYzGceLhEIvS0OIANAReNIw6QseeLBWRHlVFcd911+NSnPoUbbrgB1lrcfvvteN/73ofLL78cz3/+8/GlL30JT37yk3t/84Y3vAFvectb8Bd/8RcoyxK33XbbkY/7IpYSBReIbjYAMKslqgCsvabn8GLxUDJMhfvdRHgwHkYSGUueGL8h6fVRPK9tB1Y448eyYDGhoz+mcD8kp2gb2Kb2HozSBhIOxER3vs18DypJYbt6wXR6yVqXilAXRiBGHAl5GcvlspeVpM4InNjnWUneCNABWAI5nSKZnoXsQAxNjbLrWNFWNXSjvVq/rFostEDTre5Ni+RqC2RyVW5k9pcdma8glXAg1skrRJIBiev9JoWCUCnK6SVr552DGHXyoPKdoYaInN+KeWH03RDAtvXA+PPF0GMdNYSUUuJtb3tb772nP/3p/vUzn/lM3Hnnnb3Pv+u7vstnJx+vPXEtpclMV8+HFf8Vq4fkHUCHQj1gvb/W0CMEBXrmFy2WhRyaLTdxYZs6s/bOzQYeLOY1QvaLzv12KBPZgZdpiDeq/No/VkrYrIDJii6UnEEkGbJs5OskeZPDqqp8VpJ3QSCg4t4t/Z9+N+nISF5BpD4n9ld82GmIZun4sKZG2jYo6xa6bmC16cSpHXH/0MLXRmZSeNBaEfvWqfhr062G1EBlCyRFhnpcIh2dd50rkrQDswxCJSiK6Ro3Sr+Prhv3yLhXRoveUhcPrhcLx1A4li6E+6L7hMD/uFXxRw0hv9H2xCzq0YU5bnFb995QBjIMJfnroQvOZ7NNJDgNTtpWLAQC+jfnEJl/mIXHy8GSz/L8hghvkjCUXa2eJNc9McCT4KZu2cRRrTyxvIRNM9jEqdaRZEgyR7aTt0ClRJPJxAMYb2fMe1BxKQWdK9oG9awiL4y38iGi3/Nh07NAWyOxLhTOW6fQ55lVklfkVYus1jhoXYCsre0t0FYbi6IrTWpmtVPq782higxJkUFm6ar9TprDqhRKJf4ccJ6Kzj2/NnTNyCul6xoCypBQedMYOgy4hBAsBD/eYu4TJT4zM5CJXH3BQCT9MqIYkHEvjC48P4lh6BgTJIZhAYWRYQjpsnzr5UQcRGg/QzY0Q8Vm3ZCbC4EsBDlrLaD6WUhuVju+iNTtUnfdJLSBMgbKaJgkdSFU4moUbTpz4tZydy0jSSBGHhjvBkrHE64qxUWvaZp6WQWA3mrePIx0r3eQ75yDtRqqE+YWbd3z3knk2swkxKwBFi3Qmq5eshsPFgBcBrM+cKVJQrpwUhVzl5FUEoXsSP0k9T3Ekmnay0zyc891XPR/Kngn/ota7vjjHfC+juJ18R78HMCO07bZ5v8aAAvNap4p6+tehkj8ofg/HAAxTiHm8g95ZgRkwArEQtKeg054DBfiVofb4dxcLIQMgRRJ4tezFFLxDfsMns/kdRlg1WmrjDZIu/DJSgXTy0rmPozkhD6tPxiKW0kTRjcTT0jQ8VZV5YHKGNMrNeJyC7/2wXTaq5e0dYWybfzvMU2LdqEhFQEzLcvmzIWPjhOrWgNZtX4xEJUpqGwGoSRUljoQY6Ekkfrp9CzKslybQCiE5msI8EqF8MYe4rxiABZLWHHecBOAHWeW/Ns6hHz44Yfx0pe+FH/6p3/aI+g2GXlhaxwY4GUUm0j8UIm/je5lKJQMZ1VO5lNJBt9/LPN4XIOFAxaFIEM8WAhmvvU1hZIyuHFMnwMTWjoeqWmh0gQqTRz3oxyPJrICIi1dP/nJWZ+R5OsQkjaMGh9yaQVvHcRDL34+uQjWk/fdzRku3jKdTnsiVzQ1SgL5qkbTacKMNjDaomw6/tOu1pekzKSqNcSsgdEWUkkPZgSAMk2QdQAmkhSQKYRKkU/P9sJFOn6SVhCYcS4vdvNv4mTJeNYxBDK6P/hEEQLacQLYt20I2TQN3vrWt6IoigveeE8dTlnITsgagtcQB0bPYSkHt003P30WejRcRkFeF4FZLITk+zqKcQ4MiIcYsXq5nmKbirWFjIKX975qF8pIJYEGTsSqDeS8gsxmMNL9vchLqKyATTOIJEdR7q55YePx2APYeDz2PBjXhnEukX4nbYeMVi7iAMa1YXSNvchVt67O0xiMOl5P160n9IFONL2/7FrvrLq5Ap1HVmsIKVDPaiSF6+Kq0rlvgpgUGUxXbkRKfZFkKIpxb+zQ7yUvjLfhbtvW/4YhSU4MwELJBBkPG8NHOAEcp33bttN5xzvegRtuuAHvec97jryTqBeGfiE3EFfix/rOb/LGYpwSH4z8Qfvg/BewrgPbhoDlv2nIYh4hcSghWA3p10S3BJxQTl3vvam1zKSB7o5XaNe9QqcJmnSBVKqVLoyykjL1oSQdD+9lxVfZofNKn/HfzT1W8sSI1OdZySRJfM8wfnN6Ul+3ULr1XTfKpoVpmk7bJbxoVSgBXWukVQvVukJv1xSxOx7TNU3siP22atDMKqSzBer9OUR+Hkgz6LyA6kJqla7AibfB4dIKfi4oG0lAw2UUm8ZCDLxozHOekB58zQHeEfc47NsyhPzrv/5rnDlzBtdcc82RAaxX2G207ybK3WQgTuIDfVCLDYihsDEWQg69T/vmHFiM7+L75Ps9qg0dF/fCQoFlIh3p7L0wue7WkzcGrCYPoyRk6vgfqSQUADvbg+lATCQ5kGbIds75m5f4ILphq6rCzs6Ov2kJ2Pjv4YpzDuZJkvie++RBFEXhQYtuXPe8g3x6FtY0PjOZdTIRoRSkkl3Lchce1rPa9QGrWmDZ9sqNXF2l88baRYs6c4r9pMigitz1EUsyBubdeZicRctAjHvFJDOZTCaeEyOvjL471JWEe2BDFoaPVCzPi+KPW0rxbQlgH/7whyGEwKc//Wl84QtfwM0334y77roLl1566YXvSa9ErLAr0OBeWKytDjcKI2O9yGlJsJj3RWLEUOdDN5n3bhiQhfxXj0wH/ZTtWqHE3uOcURg+hh4jB1wXQirf019I1SP0Peldd/IG74VJNPOF/16ijV/d2qTZSuCaliiKce94SErBdWF8fUJ+Y/MWNBzQlsul71YBuJuBey2h5yGnU6Q752CNgdJdAqhdhaTEgwHouC33WcG8feK7aEFdlSm0Cw0hG6TjCmp/5nhB4gOzAjIvncwkyVGWu/46cI+TqhUouUHnIhTrhhKgobHAv0eSCeIXueSEkgc8FD8u+7bkwD7wgQ/4169+9atx6623Hgm8Vn3BhlPIQ0utcf5rE2CEnw1xYUTghzwYGc8MHiWE3GR8G0Tih2EtB7MYt+d7+IsuEykjfBjLPNJrCjF5qKnSfS+roOZ/yEqoNO9pwwjAYrIK6lhBHQhC8AJW8gouSuY3Jk/c8Jt/MpkgmZ4FrIFsa6i2Ru5/o/beJYWTDtQSHzbSey7MNGgXKw6t3ls4LoyKvovzECkr+lZpLzvLQ0nyRkn4S6ua82oFPjGHkx5/LwQhnm3kdaS8Txv9/7hJ/BMZBdDdNJaRytS3qruI1AoZKx3RUFtpAGszWTggevuO3PAcvGJgFoaPQoge57QtiX9YN1Y+09INHEu3884GIZga00kpVNIVarNGiiQvoNCWyQ9CDtKaDtSURJGlMEnmwDBJIdPS3bjTS9YI/bIse8Xeo9EIs9nMA1rYZz52vui30PXkAMa9F7oWOzu7ENZAdqQ+jEFmtNe7+RWk2AIhVltoaA9i1N2i9UBnkZQKKptDKuITO2lFtlqeDUmGtAupOXjxelE6FwRi3IvaNB74GI+NKQ5i5HVx8KLi8uOyb8sQkts2tUt6YEYwXJEPeBDjIWOswWHokW0bsm3iwUIZBYVxHES51xWGkXwfvd++hcyD/pa2x0PIELw4yPYArFukA5KVxMjVTcg9LD+JdN6YUBJcuy1nLhuXZTOY1Hlishh3WcmsF0pS+MSJbC5s5RIKAL0aQN5hg/gjKSUWiwX29/f9jR8KXcn7nkzOQOgGUq9CyKL7baJLYEhG7NNybbp24lcAXcfWjtjvgE7XGppWDF/UMIsZxGwfohi7Zoj5DKLaR5ZPURRFFMzD/mm8qJvTGrExzY3fByGJz5erIynLcXtg3/YA9rgt6FXFtWCxWkhO6vIwMhZOhiEeT+lzTiksKeJlRZQk4B7YWviGx0fa8+MF4iR+6IGtK/LRrTSUuMVspStSps6r8VNvoGsDqbqQDvBhZVJkLpTsOjWYg/OQSQYkOZRK/VJrHLgolKRMXHi+rbW9Zoc08Dm5nSSJX907LDcKOSAhBMaTs64oHTR8NErAJyUoOwkA7aJ1WcdF670u0oD1Qazz5BY1mnmFZFZBljPY+T5MXkAVYxdSd624aSm6oRWdOB+2XC6950aLo4QT8mFG454T+fSg63Jc9m0rozhOo6XVqCsr0O8hP1QXeSHIH/O+Qk6J82CcyKf9h9KFkMA/KpjFEgC0Xd7RM3a8/HVCi/IKCZF2dY3EcXU3szvfpivBIX2YKzcidb5MEyclUBK5kitxa1YAyi0Om+2c8zdu6IXRjUzHTFlJurF4JpKOn/5fVRWSJMFsNvPhFufEaGIjAJNSopyedeEkANVNiIX/zcqT9vVBg7ZqvVdmGuNWPOLXoksCtFXtuLBqiXZWIR3PILI9iKyA7QBMZCXy8ZnempphK27yiuhBvCGBFwexIf4LQC985iG2b8nNerdxnd3jtRMPLGJWcyI5mC1svy/+YeA1dIL5zMZnpCEejHtwnAPjgysmMuXbpNf8mds2fFgsRKTwgwNZNIwUCpCuzzuSFEgdh8XBy++Prb1oul5ZVjcQTbtqM9M950o5WUVeQHlhZ448n/bWNiSw4sXeXMHPpRTWWn+j8awkgDUVe7gwyPpjinx6FgKAIi7VaOQU+usOoNMKy73KnwOt1q+R1Ram0dC1gq5qt7hIVaOZVRD5DGK+B1GOofIRbFpCpKX3qAhEsixb48J4dpY8Jx5G0lg+zHgIzbO1fAGWLMsO3c62dgJggUVbSzMlPtgFjYEYN56aHxoEPIzZxIPx8JHq+Lj+i0LI0AOLgdgm28bdDkNaArUhRT49kHVEvkpWMgq58kB6++h0UI7k1j50lEpAqsqDHgFf3kkrkKQuG5fkUEneCyUJrHhWkjgx8sp42MnPG3m4dP7JKNQMH2GiR0wmyKZnAeOK1MnyjhMz2qydByHbjge0q377wEofphrIeQVVOnW+yg6cNqwYQxQjyKwrt9o51+ufRr837J9GAEdeJhe18slyaMxwr5O8MPK+wv5tx2UnAHYhFnRl3eSBhTwYDfQhEAm9lSEvjBdyc++LMpLhNkINGO1rW+P7iHlhQ2HvRiJfqJ4MQtBNH9zAFEYKJbqWDcbLCULeLCkyiOxRrzGTqeubxUPJUJHO+bBQrU8cTuxaVNXKS6IwK9Q30XXn2ejpdIp0chrWNM4T66zoxK4ySGYAK87LKgPUq/eoy4WpV1yYzBKoYgZbOT4MxRg2KyCWM2RZ3ssEEnhxr4g+51KIUGYyZHzi414YgVi4j+OyExnFgFHKHt1j1RdfA0L1wItfvE2h5JBxgIl5ZHRDcSDjHFiYmQw9sPAxZEPANjTzhpnIISJ/xYsZ1wYmyXwxskhSyCyFzBK/QnV4FNwr1tpCKI22cuU5bXfT13sZZHq+2y4tTZZDpDnK0em14+RhL4WW4e+nYw8nHv67Yk0QSQPF1fr0mEwmSCZnYQHw26oEusU8Ut9OWmWLXmZSptq1nVbCh8+rc6Q7IXADuaxcl9u6gmhqoK6QTie9Jo1E1hOIjUYjLBaLtTUBCLxi15+/F2YWQzAnj4ySHcdlJx4YM6MPCbE6MKOeYNsAF30G9PuDuc2ti1jpmYMXeVIhePEbi4eQMQ8s5oUdhczn2+UcWMiFcRDjv0MluSPa09xlI7v+VtQyRne9rwQrfqbrwoFMyL5HoDoQzNPz7ubOC1fw7Qudi16Iy/VqXOxJ54Sr2Hlygox7JBR+hb30OYDxkHI8HkdBLE9SyE6gSit1U5tqykxK1nKavFGSm+hOY6baBrZr7SOaBWy9gGiXPS+ILwwcCyVJrEweGB/P246bMBLhoHhcdgJgEQu7UVjekQLxtSHDUBJYKbT5DEYXNbQYeMW8sJADI1CkEHIoAxluexs7zFvj4MiBa4gHa9sWKefBsmLV24pKYyJhFLAKm3gZDjeZJn4bmZQQeekLvpHkSKZpr0YylpUk0p57auH5IPDmyn3KSvLrzsEMwJq3PplMoCbogRh5j7x1Tjur3G/reD/J5BXumXthnQC4Ay9bV7DLBUS+AOoF0nK3V94TghjPRpKSP/TEOKWwjcXA6zgB7KgyCmMMbr31VjzwwAPIsgy33XYbrrjiCv/5bbfdhs9+9rN+Lc4777wTTdPgjW98I6qqwrlz53DHHXf4ZdYu1J6Qnvj9zprrS6sdBl4xb4wsNqNtIvI3EfQUSsb0V9uGj4eJC0MuLLa/EMT4+97jUwnQeWFgfa0U8zy8RkpKGN0wzsf4igl3jVagRmGXJ/dpIYyEVOYS+c456NGox+FxEKPjjxV8c96RzgV5Z7xAmc7xEIXAb6Y1EGNjouz+pslSyNmiA3bHvdnIdbTGeG2Y7datNIuZI/RrB2AiH/swjj+IByNNWMiDDSWpNtmQ57VN7eKF2FE9sI9//OOo6xp333037rvvPrz97W/HXXfd5T///Oc/j/e+971+UVvAgdqLX/xivPSlL8V73vMe3H333fjZn/3ZIx33RQOwsK20DVYlCr2ww8h8oO9Kb+KZhoCMq6NjIWSMZCeQ2bTt8LNDzw3bF+fbaBuHZSJ7PFgX2nkiX3VEfseD9a/BCrxMwwDMrABNZTKol0xWC2FIJ98gPowfJ2Unq6paU+rzgu8kSXoeGj9nROrzSYVffzpvsbrZ0WjsQMwEy891Y457pKSP86/5BEuth5rWacTKzgOrZkA5hm0WEPUCWeb6pHFinZP53DMjTzWUjRw2XkLA4PcDeYDHZUcFsHvvvRfXXHMNAOBZz3oW7r//fv+ZMQZf+cpX8Na3vhUPPfQQXv7yl+PlL3857r33Xrz+9a8HAFx77bX4vd/7vW8+AOPWq8Vj4BWCVDhDbSLvD5t9vOQAmzVhXEZB+9lE4NP2wn1dqIWEfghanDMKva8eD9YR7MSDibzoiOsUrZRd2FT7FjSAWUkJaD7RBqoDM5k2PswC0Hl0fCGMjJUaFWvyD+6x8uOl38rDRn5t+DlYLpe+FjDUhvHX4XiZTKYQ1sBK2ePEkKRQxT7k+X3vWfrFT4yBrlvPlZEotpfJNdp5Y03tyPy2hiqnvWLrGC9Gj7BTxRBnG46nIYC7GFzUUQHs4OAAk8nE/5+oniRJMJ/P8apXvQo/93M/B601XvOa1+Cqq67CwcEBptMpAGA8HmN/f//Ix33RV+buv9EHMu59bSOn4O50CABuk31ZAr0X88JiMgoCsyEJRQwEL+h8BMfMQ8iw71eMBwsb66WZ8748D5YVEEkGVWQ9EpuT+byUBgA0NBSUrxmUHT9EHlxduBV9sk4wC6lc4z+ZIt0957tR8GMPxbgxxTh5anQNuPiVvDTSUVHn1rDBX9iSyRH7uxBCwgoFJaUvUjdJ5sl9lSa+9bauG6iuBbdMHfDLtAPJNQ+2W1VLN4Bue6Ec8XUhiPGMatjwkMaA3z77/ZxauFDO9Sh2VBnFZDLBbDbz/zfG+O2UZYnXvOY1nt967nOfiy9+8Yv+b4qiwGw2w87OzpGP+4lbF5JOPjU1tBq8I8Vh4DWUkdxkm4h8PkjC5nNDoV3MC7vQQcW/T/sLByvd9Jt4MK01oMqOA8tXRH5W+P73RMirjBU7B1hCnRvQoGsQKLqOpysC3HsmJNmgbg1phnxy1q9uHd5w3Jvs7ZOddyHEoIe2XLqMH79BQgI7FlKW5dg1bARc7aRUnQfpwmCpJHTtVgCnlcABp4mTWQdenRyFXTj30I2LIHQLKde7pXL5BC/AXi6XfqGTw7SMwOHrnB63HdUDu/rqq3HPPffg+uuvx3333Ycrr7zSf/blL38Zv/qrv4q/+Zu/gTEGn/3sZ/ETP/ETuPrqq/GJT3wCL33pS/HJT34Sz372s4983McOYNask9i+OygvJwouwiYiPwSubbI3my4+3Vxc8cxDyVAdPzSA+DEcZVDx0In2GQIXEeMhWb5KzXehY6egF2kKWRRQZQU170h91V/QAgg4Skbm86yk7TpY8IQA5ArIIFMI4VpAh15YmIzgv5l7lMAK0Ohc8OfFYrF2/WNtxkMryzGUlLBCQgrpQ2BIhUQqqLqCqSq3AniasN5isveAVIDuZ9CtbiF0g6Qoel4h7xrBw0hqtcOzkNbaKGhwj5zOVxhVXAw7KoBdd911+NSnPoUbbrgB1lrcfvvteN/73ofLL78cz3/+8/GSl7wEr3jFK5CmKX7sx34M3/M934Nf/MVfxM0334wPfvCDOH36NN75znce+bgvigc2WEYEIvNXXllMSnHYI7RYKMlfDz14CBiGkrHwMdwm0NeBxQbYNkAbemC8J33IiRHAeVI8dcuiWeYdCdJBpSsdlEpV15GivyiG14YZ6wuebQ/Q+qVGow7AICVU11BRqARlOV3jwXhmMgwpCdToZuVyCn5deFbSGLOWfRvik6y1KMsSyeS0y0qqFLLrnyakcpnFZAaZVWiUhOlqQ7kJHjKRDEi3zgszLYQ1vfAxxodRCRDVRhK3R6FzzIYmz23G01HtqDIKKSXe9ra39d7jK5fddNNNuOmmm3qfnz17Fn/yJ3/yOI52ZRe1FtI9+lowGLOqhwwKuoF+eVEYQtLAPWyFInoOSXwKHfmg4N4XL/Tm/auG3PdNgymUUwz9Hb/hQj1YTDAaZv6Ql05O4cPIrB9G9iQV6x0ZqHtpyFdaY335EXFiQJfxy1zZkmCtqJVKMOqkFRy8uCfGC77DAm/yfIGV98XPIZ2bMPERvsf7twGOh0nGCqLrYqtUt45AksKmKcxihlQqR9J7MO/OBXW8XV0sHz4SiBEPRh6YUupQHoy8f/LCwjEbdvB4IkDsqB7YN9qekCykMavOrGTWGNcaJZJRioWPHLy22R89H8Yl0A1Af8O1YNt6b3xAHSUjGeOPyAMLuaR1L8xAURiZFRDlGGJe+DAy6RauUFkFXSvIVEEo12rGKglt+O+wMI3pdW9oZrVfU5GkCKp0hLgn9VXiSX1a3Xqonxo/XyRSJaO/oRCLbmR6nzix5XKJ+Xzu5QS8ZIe3rqa/d57YGb8osBKubZCtXOsck2Swbe27WxDVIbICMitcaO7D5qQPauhLgcJkE8+ectJ/U00kgTq/3rwj7FDJ1uOxEwDbxrReeWGdhZnIoc6sQ6Hk0GxE2RwOZgQG4TYoNR8LIelvNoEZ7W8bCz0GYH3RkJiYNTus5QEAACAASURBVNSD8fcUDyMpG5kV3co7mV8DUdemW6Vaoa1aB0paOA/MuEVhpW+90wlbpWBdT10L5qrzwPKuE4bvp68S5DvnYLrOFWEYzq8D4ACMXy/yxMIbnHsl1IOeX7tQXxW70YqiQDo+AyGU48WSDLZbE1IkmdN6dTyXbRrAaIh8ldkVufsupOwvLtxZyOGGvBjvsMp/Y5iV5hEBB/Qhac1x2Ukx94UYa6kjRLIVaAHxVjqbCP3wphl6cFDj398GuI5qYTgQI7/DmTfkxeiRjUogK7vmeysAo2XDeDZSZRIq7TJxCPRH1jptWK2dbszwrKRYrXAkV5qpTK46YkjhusKWO+d6N2AMwEIgN8b0Fs3lYT2w8kpIU7VJXhMa7b8sS2Tj084TSxzoq05iYWtXuI22WXljyUr/RkDnlrPb7IERzxV70GcURjZNMwhiHLh4rzXywk48sCeqGwVbHceHkiSlYAB2WFE3P8kkQo0ZJ0hj/MFhQHQYePH9xLyww8qJYvujv6ObflM2kt/kvTCSRK15CVmOYasZZDrzYaSuaqjUeV4ylZC18B0rtKVkpIVuLZS2CCgzT+77WkuemaS+ZEJCqBSj8Zk1DyzkFOm30w0a8luc2CfvjPRh3MLJJ5bUof3bskQ+Pg3Rra9ppYRUCexy4YCLCribegVcHUiLJF21MWKcbXgcYfkPhcpE9jdNEwUvPhZC/jCctHjN6XHYCYBFLCwn8kY9nIzxaXvOhcW8Mc6BhSAWEqF8MMfEgNsAWMxLCzmwGK+z1XkJjhFY8Tz8WMMuqENK/bZtoZLchUJpBlGMIBYzH0YmReb0TR2h71rJrKQVpjHQ1nYPd4wEXnqxClNiAGa1wVhGMpNCoiynvcRErGidAzKdj7BzK5+olFJYLpe96xRet9i1DMP0ophCqBRCpb7zrGiXQFvDZgVsXXkSnxpG+gWFxboHRmM0DCF5S+iwXXaY1aNxwc8B98CorrSXxDkmix1P7DvfbHYRayGD+jJjOv5Lu55gZpWF3ARcm0DMGLPRE1s7pggoAeve3rb8F23zqAMp3Eaapv4GC1vq8MHMwwt65PkYSHMgLd3irLlrDS1HI6h55TywIkNa1mirxoWStZNWAIASAk76Sd7YavJRVQcuvYVkV2JXlSYoqdZQKiRK+cwkdXINOb4Y8PBrDDghKwexUHhM14632+HXk1sso5nnOZLRrjvuZAHbLoGmhkgWrg8asAIrKV22N806PVkCyAS21b1tDyWkwnEck4PwiZj/XmoSSSE2byJ5XHZUGcU32i56CDlYTsTqIUM1/mFgRn/nNjfMf22TgdzkgQ1JKLg8g4MX3aQXdH7Y/mOZu00ZqDBTlaadpCItunbIY4jFzHlh4xJtVXeEfoukcM39VKOhawnVaCghPHDRc206b6xaeWIrD27urgXJNdJHAKWglXLtqIVCsnPOt1Kh3xve8GRh3SOp9IkzIt6IbnwO5MSNcWEp3w49k9F5zvMc2fi0aw7Z1kCzhG0yoGHgQMfYrVzuznEOSAWt60PrZUPhbQjAQ2Mh9LYpgVGWJaqq8p7ocdiJB8YspsY3fGEPtj7kYUJWYHOTQ7LDZo8LBbDDCHwOXkPbOex4OAiHhDdtfygbyVcIou+leQaRlbANcWDuoUZzJLMK6biErmqkZY1mJr0XpjIDWbVQxgLgIAYAFjX9tA7E6lntiX0Avm5SKOlWzu44I1LCp9OzPXnFUH+1UFYhpfTENR8jZJwvTJLE39Ccd4p5YmFI63qRlVBpCSQLiDQH6sX6RaMWRlkJJFmPhwzD1LU/DTyuTWBA1zsEaCLyqSzpOAHshAOL2JowEKycyHS1ZZF6yE082BCIDYVxMc6KBshQ1ioEryEwo20NGf9sU7Y0/B1hyRDnuzgHwmfoLMugLaCyAljmzqOgjGQxQjqeew/MeWF1t7ir88JUpqC07YGXAWCs+0dboDYW5aKful/VT0qvXM8ZqS+7rF02PQuMx70bPLyGQxMThUr0d3TzUzhZ13VvMuDyjBgnxs8zXUtSzafZuPOysrVoAUI6zyvJoLVZA6/Y9Y0lnwjIYjW4/Dj5NebrTZIXdpwAtk1/sRMZhVnVRApr1hb3OCxs5HaYGp9/zjVhMR5sEwc2BFyPh8SPHW84g/PjG8pA8fDShZCpI/OzArYufRgpFzOoIkc6LlwBc1UjKRO0VesKvSsJIQWUQC/zuOLBBBprIQFoa4AOxGihDPLGXMue7poyFbsEIABkXTjJw8ihiYD+z69/WGZEYZZSqleuFAvL6DmUd4Tau7ZtHZDlEwC2XzkiE0CqNc+L/j5WdsYtBLKhsUDPnCYgD5OD2HFmIU9CyAHzXpjvSkHlRCtPLMxAbgKzWHvp2ICJZSe3CR/5d2OeFw3ccJu0T/75NsaPgf6O1xIO8WBhSOk1YdnIeRBZxeQUY4hqjqRY9oStSdGiWbSQaZeZrNrO5XLe14rMtx3JDzTkoc0bv2Rbv0h8pRXza+ZIUsa7bq4mwomFlQ2h0py4MKqU8CJeJnqNXdPY//l1HHoQMK70XZn7WyZv4dvh4aj/2QMeJn8/BgrhBEuSCyLuqd/+cXNgJyQ+M17Q7bVf4eK2NLshXgN52MNtIr7ST383wzqwoe9vw4Edp5HXyG8Gmn1DT4zrwWhgUw8tF06W3SIUzAsrZlCjCmnngTWzCklZI2tSmEajrVokRYJs3njg0gIgTox7Y7VxGjHle4gJn5l0/5d+VaCsK6CGlCuh6+Rs9ByEvGeapjg4OPBKdillzyMh4OI3Fr/xl8slpJS+7GgTzxN6YVmW9YSpUso1j41zVaE2j7azyUsPvbDYGOPbomxklmVYLBbHnoU88cAw0IkCjAczBmFR91HLiQi8eLjBLRww3CujwReWTxwGWkODLJx9j3z+WCaSe2ChdKKua2RZFpVWpN1K0mteWF0hHVXQixrpuOga+hkkhUY2dnxYaiz0okVtXEiprfXZSQI2JdB1czXQSwsxWwcw0oqR0BUdkFE4GQOx2HUPCXmu1ieZBQENv8503ggIuYI/NA4UeZ73QlFeWxkbH9wz4omVoQw2t9Dr5K9pfBJocy6MvK8TEv8JELKGBD49YJ02TJhVOVEIUJuIfMCd0DBUjJH74feGBhYHxCGg4uDC/7/22y/AQ+P8DD2HcooYF8ZnfurPTt4J98LkeKe3wk5S1ciqMUzdugVdaw1da6RlAqst0lojMytPi+YkLq1whJj7TC1aCNnvN8bXWxz595haH+sgFss+kzSCLEkS74lsOs8EXkqpngcWO/c8jCXwoXUX+bjj14a8MVrMN3ZNwjBzmzExFCkQeHEwPvHAnqhuFMHCCaHF2ukcRugTSc+XQ7vg4wpCy6FZdsjj4nbUMqLQ+HY28WA044eqfCLzvReW10C7dGHkaAd2WSEdV906iUvopkVaNWirBEmVdOsiKmRdKZGB6Cn0KRupLaDlihPDrFuog4rAgzqkETpiH2z5M6FQjk9vPB8h8CwWCx8aAoguEMK9I/539Bn/Dr+mXJZC/FooOiWwo+dYQoWD11HoBn6MXGxN15d6i52UEj3RC9vy8NGHkBpCZFHQGtKFxXrjbxok4UCNkfth5ooGD38OB2T4/8dT2sGPP1ZSRM+xMJKeyfvqeWFtvdKF1RVENYasKyTj2vNh6ThHs3AcmK41VKqgqhaZFNB8Ne8OvChbydX62lroA4sRW+0IWNXCAitPDGAgBqCcXjJ4XmJEOH+PrmUIZPz/4XZikxLnrwiMeLPCWBNFDmCh6DQ2bvg1jVksjAxDSfK+FouFB7fjMO5lbvrON5t9Y7pRAB68wLiGC+XAyPsi4BgKEbhym4eI9Hn4/cPCxxiYhaUqRzGa1UMpxRB48dCFQkgeRirlVtVGXQL5EqJYQI6mPS9MV0u0VY20XKKtEuhGQzcaaZNAzRoosV7UzUuNlAAOWgMkEmgNtG2DMrJ+s8QRVlrAHogxT4yHKtw7p4kmBDECq9AjoXER6/gQnnc6jwXr788z3kTm82tLfxd6wuG1OQy4wmMJqQwAa3IKnsQ4DjsJIQPrrbtHs7DRq55ggPfChpT425QTcSAjGwIyep+AbMhzG5qhY0BG3yfbxgu7kJksVloUAhkNZvIcuBem0hKiqGHbJWQ5XXVbaGtkdeM4sG6FHuO76LpurOOafkvnYdoVmPGQkjwz+q4ScOCXKZ+hVOmBLyYfSel1YjEQ43RCKF6mTqez2cyXDZFnwjOP3EKCn7ws+m4s+UOtfPgyYaFZa3ukfV3XqKqqB2BDrcA3jZMY2PJxyMuMjstOQsiIxVY+BjpZBambbV+Nv40Hxou5Q9t0kodmt6HvDXlfwPriE0TsbrILHQAhePHU/SYyn9cEKqWQ5GOIZukWo2iWjtRvG6BtkDYdgDFC32jjif3SNNBWQFu4kJJlIul1HZ7G1nTE/ipLxkl9IBJOWgNhNcrJ2TUA4+OBd1+l9s1E6ocLgIThIwcBAiYiwkPeyRiz1kU1BnThuecARsdF4EUP7mVfiLdOf8uv/XHZUT0wYwxuvfVWPPDAA8iyDLfddhuuuOIK//mf/dmf4WMf+xgA4Id+6Ifwy7/8y7DW4tprr8V3f/d3A3AL4r7hDW840nE/YQvb0orHK8+sU+OblQ4sTFsfBmIUHoYcVmjkcYWvYwNyUxYyBmzbhgYXalq77hQhcIVlRcR/pWnqwauu6z6AlSWQjwHdQrRLiLaGbOpoKJk1bacLS5BWCWxXPqStQdMBWW0QtN9ZgVhtLLTqUpQzVxe71pkk5MSMgTTaSSyMQd6VHQ3JKnixNvFBvHg7dm04iBHobMpKcgDj++NjjU8m5HFxEONeISf5jyJ05mOOS0iOy44qZP34xz+Ouq5x991347777sPb3/523HXXXQCA//7v/8ZHPvIR/NVf/RWEEPjpn/5pvOAFL0BZlnjGM56BP/qjP3rcx30ogGmtccstt+BLX/oSlFK44447cPnll2+9g2j2kZaoohs/4ME4eMX6iwPrBd6HGR/IHKiGvhsDqRgP5n8nS6/HBuhhiQZuBF6cB6N6xyEQo04OBF6cC6vrGlk+doR+O4bU7WAoabXxNZLOG+OyCoFarEsrtEWgGVvpLLS1a6S+f60NRsYV+auOVpBWQwDIJ2cgGIiRcWEpB7Ww/pGDRUiO88wene9QZ0dhIwfN2DgL/yb0vEJJBXlR21RshGDJAey4+aijemD33nsvrrnmGgDOk7r//vv9Z5dddhne+973+hCedHaf//zn8eCDD+LVr341iqLAm9/8ZjztaU870nEfCmD33HMPAOAv//Iv8W//9m+44447PMJeiBnOgxkWPlodFbOGgDbkhdFg5EQ9Gfe2+HFsqqOk73DwipH34fdi2zjMNgEvB0Ie+sTCSO6F8fdCHZPKxxC6WQslSRuWVrUDsqqGrjXaqnHNDmuNTDdd9lF0PBjvWMH5MQttu2JrK9BYoDYNdrTxpUe20wf2PDE+mQEQ1iCbnvUgxr3z0FsIJzHK2oUWhv383PLQkc5hzOMLLXYtCMBCIOPlUbwW9LCxEhtvxw1gR+XADg4OMJlM/P85Z5imKc6cOQNrLX77t38b3/d934enPvWpeOihh/C6170OP/qjP4rPfOYzeNOb3oQPf/jDRzruQwHsBS94AX74h38YAPC1r30NZ8/Gy0BitlpfsC9mpWcBMCK/HzIeloXk9ZBDQDaUFg4BJwQ0DlqcfA2Bjb475HUN2aabL7Rw3zEPjLwsvngEDyGpW0NZlm45MN1CmMaHkmhqZG0D07SwxjiFftPCNDlMl0W0xnb6LyL0Red59TViAEktVqQ+IKEaA7m3LrwkXqzQBhk/R8bRC+n0LMbjcW9M8Gdai5GLVQk0SPTJs5NhSAn0xc78u+Q1c28stBD02rbFfD7vhZDcA+N1nLEQkHvqYbRBFhbCH4cdtRvFZDLprZxOoTfZcrnEW97yFozHY/zWb/0WAOCqq67y23rOc56DBx98sLcK1YXYVhxYkiS4+eab8U//9E9417vetdWGY+2kPf/FC7ppcQ+54r229cDCkBKIX9TwvRjRyy0Er03hZO/3HRI+bgKqbcJgHsIOacJ63BfrVEpAn+VjCNPCmgZy3ALGwLYNZNsg17oLIZtOfGx7mUmflWwdKGlrPJDFxK4rc16VWra+7AhwnV1pvUma5DLAUwzSGlgAyeQ0RqNRj1bgGi1O7GdZ1uOgKEsZXruQlOehOp1r4iA3hf8cwLTWPc+Ld1Hl1+uwhE84psOxztvwHJcdNYS8+uqrcc899+D666/HfffdhyuvvNJ/Zq3FL/3SL+EHfuAH8LrXvc6//wd/8Ac4deoUbrrpJnzxi1/Ed37ndx7Zo9yaxH/HO96BN77xjXjFK16Bj33sYxiNRoPfjXEeq24UbCCYrpwoImY9DLiAlfiOk7f0vGk24YMxNji3Je75e0fRgYUDcGhA8jCVbrI8z6P8C+fBwjDSczoslJS6XS1m0TbIOh6MPDECMNNxY2Z/uQoRlYC2ogMr15Kag1k/O+nkFei6WFAfMaAvdgXQ98QAWGugxqcxHk/X+NHQ4+QgRmEMzwRuItFpHJCIlcbTpu4ndD349jl40SMEr1h5Uez6D43947ajkvjXXXcdPvWpT+GGG26AtRa333473ve+9+Hyyy+HMQb//u//jrqu8S//8i8AgF/7tV/D6173OrzpTW/CJz7xCc+rH9UOBbC//du/xYMPPojXv/71KMtyrXB2G6PB6bNRROKz5dW4x3WhHBgHtMNmTLLDODDufYWDLQQvsvDG2LSPcJaNWYwH454CX+mZwIuHjTz9z/kjVZYQ+RhCtw7ERk5SYY1GYjoZRSCt0LWGaQyMNpjMG5+VzGS3XqNZgRew6ua60Ba1EXBQZLrvrMSuHCD5ZJcbDds2UG0DpVtY3UCYFqPx6f5vGQAxehCQkWJeSunphtjExV/Hxlj4XV64zbuDkM4sVOhzENtGdjM07qlzyXHZUT0wKSXe9ra39d57+tOf7l//x3/8R3Rb73nPe45wlOt2KIC98IUvxJvf/Ga88pWvRNu2eMtb3oI8zw/7szUL+4FZ3lpnoCPFNnIKflEPu6D8cxqQsb8Jw41YSQj/Ow40Q4Myxm2ExzJkMeDkvAv3vPjKN2H4WNe1fz/PJ76kS1gNabRbF7GpkXZ8GD1s5ynTgrfWWK8Pq6XwWchwUZCVgp/eF77Tq7YWeNQtj0bCWc+ZdvvL28ZPdsoaWOuK/8vRLpQarwEYjZuQeCfvk7hAGithUoafY7ouYcYyxpUSKIXCVS6jiGn3YgT+hfCjx2nftkr80WiE3//93996g1zzQwQw2Zqkgngw92k0fLxQDsxtdruSDW4c0IaykDEF/jbgFdvP0OuhQRKCZ6i4p5uTp/7pvdjEIITo8WFCt5Bt48P6rOkykh0f5ryw1XPx/7P3tTG3HWXZ18ysr/0855xCS/ilIJC3CUJOpE0ANdYQrC2IJpK0UOJHQSIQgYAKJViQCAGLlhiMBwMYQtAUaPghsf8k2kZEf5SgAeNHDBE1mki1nPY5z95rrZl5f8zcs+6596y993O6z+lRzp3s7O+vtWZd67qvue57eoveeWFupTQyn6GM/yABWO88+koHMHvkOH0uhY3f661DF6s3vLUwNpz8lB3QRJsFB2mZWpKYrLXO2k7TY7JeUs5OzrEu/vrS7DAHL1lmVDKwcsDk3yvHd2lf7iv+zwLYPqLUUieAl8uuSzuIBiQ/m5boNHcll86WPHiauenMukkLkymkBK/Sd5cAqyTObkvR55gYsTECMOrkWdLDwvZtUXenoSJohZm/2PJo7NEy06mPXSY868B65vwqzUQGthVnHNVkcuVgxsX9Y+vQaAUzOuijMDuZLRTCXPtd+uPRL+YdlHeoD6+FPjhYGw/U8I+nkXQhfUymdqWTkwS0ubEhi+1LXUK4z2yO/ZXGCGeQkl2eVMrZFLuwvcvFBk8Sl6UjKzClBQCKGhhPI/mO26SDAeszNMB0Ji1tcJqB2qSVlQYrv+bPATl4SWG2FHNnWCAHr7nSjblLSdDfxGqVUtBdB7M4DeUtvHdh5o8ZjQk8sv2HiWlf8+gSZiTjKoBUN4kk7vOl2kjcNyqAGKCB3uKUW6W++hQcPBfxN8BF174NbNEcXIPDwzMJvLTWyU5CBznNVHJxX7rnpebJT4hyn0vwmkshS2ljqSxtbnzIFFhe9l1KtA2gvmsZWBZyp7E0clM95K6pZP7R24X8EohtMrDyxwFkM0q7iKqllHdX8LLWZh4bEqV56kgMjF+o3o+fEOg7lFJhcqY7k5iYoZNK/I9t/N9TSZhLNgtvPfDYCsS+AtNymSeMn8uoHU/cA7QFgr/s0aCJcQsHMM1Sdv2QGCLGIYJtEPcXi2sSgEmWQlUKdM31Qs5YCXhof5D2KccFZ130Hn5/07oFc6ZoOTZkhlECsH3G1RRyJtIMU/QYAUiahrfSzLou2m+biQQmE94u2lf4+snkKgcoPSYHWAnQTmJg3TV9LJXO0G/jKyuR+ZKzLw5YJWCXLna+fbuug1qchopiubY2gUXlbEonvZg9pFpHmpkka8WxBVvliHQxcujT/Wlmso+zmXh0mYCRGmESgDnnsHAO1TgBmYkzqcoOaA6eAi10MTlLSWBFTKy0zVarVVb+ImegS+AlAWuOfc2ljnxsbAMvapu0z7iaQhai2B+fL24r0khlqjUbxS4zkRQyjeT3uVBKz5dCalsSuPhg5ink3KKt9J3btA5g/Qy3qZJApjEl1iUHnPx82q4Ui0VhZjICWe3sNCvJgEXOTPZOrXWtmHrqT2yMNDPykZEdw3qPa86vUl8yYmJk6XD9iK4fk80C0YQLO0LZEdXBNcm5P2e1IC1puVwWmSrfVzxNk+n6ruDFZ7Elq+P7Ql4keEkmuc+4ysBYlFz46WxqWUcKZ4P2QgeMXveC7Zo+0sFKg0PaKjhb2ZZubiob4o+ftB0K/Y4SA5MHmQQveZ+DKP032WFBpqtS5yil6y1jYQqAphONtWjZNiJNTJ6k7BGV4pAu5rIOFlMbntytHyYD6D026/aavkt8fzsOwNDDD30U9+Ms5WLEwUGeUkoWJic15sYTP5GVWIrUzebAS1pxZMj9VmJdVVWhbdt0ve9l1a4CWCFCqiF1r7wTRWJgBROrFKGlv0cOOAlkW38fF6bF7dKMFE8fgam8R2pguwj5HFjmLpuoPQcvus19S8TCuAYmD5QSS2sOrom++liTyEI6AJ11aUUiEuDNhVD43ehpdjIAl4r9w6ibK7EuILTk8ZNGlnqK5cI+BYFZ6+wk7o9DqCyItpD24Brog4MEVKSH0azscrlMs5Yk8MvU0hizBhR8bJT2TUms35Y68n3C978EL7rQBM2+4iqAiSj1xecaSmalCA+ANzaUVJpfz9Ft58r9wXZxyHNGI9mXTCvpdaVZyE0DdC7tnWNc8v9uCqmNkSbGV66RnzPnrAaApjs9gVj4guQRkyCmzePT74j71xyPcXYyRHDkh75hjc49YqSP9c5PM5MAMISeYqUI7C/oqi3T6+BsADE7QnmLujuDKupinIkReJVc/DK1LG3ruX5i0uC8C4BJRl7Svjh4NU2Dtm33qknR9257zZUWl3hZtZzyT7e5Duayom5+BuLuai5AExPjwrVkYXMDZVfwosc3ARlPIbeBmNz5PD3m/q9NXQFkATJ9F4GW7Am/acDx38iBbLrdBhDzDt6HwmoerbNJEiiF0iqtVBTAyqXZx1Aj6VMqGV4z9dhPplejQ1p5NKTJAl56lC79iM66kEbGmk7SxTD0UAfXYLE4nZ0USik7P2GUtiEvpKfWRXyfyHFRAq/SrOPathMVBZyBNU2DxWKBtm2vMjBcZiOr4zoGnTHDE5kXjAPXSXQwycLoOzeVGUnwosdKoMXTR5lCAicr4ua/GdhsIZkDNP5f5cSC/H8yPe66LntdafIBaNEsrsmZGIsO65HbHzxwPGYzjhTHdr0xIhV/E7BNrXviBEBv2QxlKD9KJU/OoR1G1P0SZgy6mB57aDskq0XTnYZeLNYATMoWJTmCjwECrxJD4+NiE4DRyVSCJYEE7yhSAq/FYlHY+hcfVwFsJrgZMQUBFjDNQqbGhvMrFO0q5tPA4NelmAOv0nN8EJc0L66RzcVcSrILG+C3OaDR99L13CxXaSKChwSwdH+xmAcxZ0P6lu46dEI68NZjkfqIBb9XcO6vG1ypNXUAM5rN9LBeY/BAZz3cI8epRC0VmfdhZtT1Acxa5+CHMEMJ0sWi1aLqzkB1XfHEyMFLbq9xHBNwzS0GwvfJxTKwUkrL00cCr4ODg723lL4KYFuCDJByVaIEaM5BMytFyUaxLY0kRsIFbmB9VrIUc6CV/QdhmeBsTL52Dsxk+riNfXEWJgd9Ka2k/1BKK+XvkL+1nEJtYGLaoCMWaUwS3Lmwr/5nieZ4xOOjS94wKjciXSy3V8T/4H2yWRjloRGYW3UkUmWjoIxO1g4gpLipLMpZGBeK0pUdYQ6uwWJxao11SUa2q42FLmSpoNI2uR3nTixy/8lxQL6vuq4zHezqytyXcVGPtcdogNm4uEdkYSWw2oWBAeupGR8ckrpTlFIumY5tK/0A1jWwuTMtvz3HvLZNVsj/PfdfSKsh46X8n5tiNp1UGl4ZaMUmA7RGp02qX1Raw9SPh5WIiDXWA+qjHqYPs4+NdlG0D+CUN0Bk/4mBGAAY62BWI0rd6LLOv1HcJ9c+HJlzw21lR7TdaWh9kJ0kZb0osH7SKAEXsSWyU9AJc1sGIMeu9K3VdZ1O1m3bJhDruu7qyty4xLWQWWNDlkpy8EL073gXWqWU0sbSbJE8sKksBEAGXtsOVGDd30WPlZ6bu/DX8iiB10nZFw3iEmjP/R8K3pxP/i/5/yQIr01MsGH02AAAIABJREFULBa5xSL8mXBBsFgQaCkTLrQupK41lFF4ytEAsxyhQTaLMPPIl2kD8llKDm5GAcZ6oABijnrtOz5DSbOndtLFnEtWi3qxrovxfTG3fXlpEDWXpIxA1iluG4el52SmIYV8moncZ1yJDGtbXBIA48DlCiBWfhNZKvxGfWKOhQHTWYSnjTJ2Kf2ZE/Pn0seyAF6Oko61iX3JshiphW1jYfTbZbrIy5L464BJ/+IzrPx2K0AsLFJrAGPQaEohxayr0fESZ1xXIaWMzwKp2eHkCwOwpo1Nr1WwfsShWAXcO5fNUNphDOL+2IOvhsWtFqY7k5p1bgquh/ESId5MksCL76tdU0dgKveiEzWljhK8uq7bawp5lYHFcIVUIPd/Rb2LeXcUF/QjC5MsZddUkl92BZX8968L+zJ2rX+cC2mb2MS+NoGX/N18gBEzlGxU3uYHJd0+ODhIACYZGj22OHhKTCcD4+K/psEEYPI6xXkAGAObiq590sNyi8XU0YK37JmKxj3OnF+FmcnBpfKjcD8vfWqiuO/HAX7sQ5PEmE6qqIvR/uFgxk9U0mW/Wq3SilBkLt3G4LYF1zs5A6OuGl3X7Z2BXQWwHSK3UDDxnmYh3WSl2KaDSbpOjEJqYBTbKLxMHyUzkeniSd3Wki3KQV5iX3RQSBZGn8ev5f+h5/jvlWC2aaq/67rZmUliY4vFmaBxaQ0oA6MNlAlsTGkS9icAo3SSQh0pmGNKtSaBnwrBJxYm08rJ7OqA1I6HWBeAOFPpsw4a1KjRJzbmYK4JZVOIEsZicSZtU846JbjzfmLURnq1WqWZSrnfdjmpSj8en8CRpUVd12G5XM5+1knjqog/E17ssLUl1sjMyliYUrlp9WIZGB8wJSF2W8i2ORe7JLyMkmjPgZnOtpx5yQOCfxb/vfK/zv1PvkYhvW7bNpH/2XuPxeIw7i8NqAiwEcAabWDqqFfWFXRdpdlJ02hUXQVzvkd91KMZFI6tw+CBRjsc27z4m0Cs0YqVIBE7CzpZNTiMxxamHuMMqEozlDwaIAEsAGjqikJa3uLM2v+UDJSzMN4DjDNa3vaGn1z57W0hNVQaC/xkto+4CmCFmIq2c2E1ifeIIOZzFia7Uuw6QydZTkm83hacifHHiv+v4Ljm75EDtDRgpV2E/z9iYPxxaqOyafDPedKkHkafJX9/Ka2k1kElPbDrOphT10JpDa81jIqsrKqhqhoLo6GbCqapYeoKpn4cujaougGmMTCNhjkasFiOOLYedayj5AuFUB3ltLBu/K/RAGsUYGJb6tTVVWwjAjJvQzkUX5chvdKFIvZ2cWYtjabbvHCbg5lsI81fQxnCtn1XCnkiuxQdWS8WwJxzeN/73od/+Id/QNM0+MAHPoBnPvOZ6fnPf/7z+OxnP4uqqvCmN70JL3nJS/Df//3f+NVf/VUsl0s8/elPx4c+9KGLNuZe/oaGMRL7CndYOlnuSiFnJZVSs+VE8kzHrzeFBKBdZx/nPoOCD1ipkXBQ5mAlC4rnGFjp+6XnrQRk8j+S5ULqYvQ6yULoQqbNtm1RH14LpQy80jCmgqqaJPB3dcNYWAC0/vxxAK9GByB7fEC1HGFWQRubvGLUvUL6xKiLBVtMt7eJ5QHlDCB5xaYNAjgbJiRAqltIkdP72MmK/jfvfkt98Gk7cqAh4C/tu121J3nZVHJ2sXExDOtP//RP0fc9Pve5z+FrX/safvM3fxMf+9jHAAD/9V//hc985jP4whe+gNVqhde85jX44R/+YZw7dw6veMUr8MpXvhIf//jH8bnPfQ533nnnRf3mS2ejEGI+6RNc0CfQyrxgbjcRn/tsJJAB+cAgEKL7T0SELy3IsEv6JdM+KeDPpYulVLIUnFmVtL8SoBGo89o+OdPGmdhcR1E6oBeLBZrDp0KZCt7UwSsWNTJV12irerJXNFW0W7A++DqklqSNGesiaKmNPrHeAdAKsGF2ElFXk22duCZG0YYNMu0nMBDTGl13mAE1nbiGYcDBwUEGYmQy5YBGAEbjb5OsIUNqnjyFnDMwX2woULvJza+R8fDDD+NHfuRHAAA/8AM/gK9//evpub/927/FC17wgjRz+oxnPAN///d/j4cffhhveMMbAAA33XQTPvKRj1x5AEZBhbfZYwRcSQNjXjDWlWITiJ1EA6OBQANHCvzAejfWuXQp/YeCDrYtXZW6hWRgHLAkeMlUctP3aq0zwJorleIHE2dgcuFcCWqcfdFnp220WKBlM5RaayhtoOoGiLqYNvS4hmmq1M1C1wYDc9mbmFKarG+Y1MUC3BCIWZrVPB7Rsq6xwDqAZV4xvp/ip0JrKGXQtu1sCkl2hq7rsFgs0kK2nIVJW8UuIW02tF/5ONgrA3M2FL9ve42Ixx9/HKdOncp+K+l/jz/+OE6fPp2eOzw8xOOPP549fnh4iMcee+yif/Zln4VMBzdpYHSgOTdpYXZcYyV8p3FQ25ZG0sFcOvvtqotRbDKvnkRr4+ljCZD5rFMJ0GTw/0aAUhL3+W/kNgu+PfhnEMsAkIEZ/4xSOhnY2OmgQZkK0DVM3SRNDDqK+k2FVVOn1LLqllg1qyylrAeLYTmiscHwar1K60rSCuFAKbWM9ZKDhe01huMRStNMaA/dLCMbDBUErZnYIqrQM8ybCspUMIfXom3btM3atk2zj+QDIyAjACNGRi59eq9ciGNuvPCTzhO17ewUPjaE3PYaEadOncLR0dTziPS+0nNHR0c4ffp0erzrOhwdHeHMmTNrn7trXKKOrNNUNgWn7XKF7tCZNbdSaL0u5EtQ42kknZ241sABYR/AtfY/T/g5wPrSadKwSP9Drqwj2VlJ1+K/kaeaHMzmmCe3WcjSqTm7RalgOdfFOlSnaihTw5sKRkddrGrgmg6qfRSma2C6Joj83QXUiwtYfqdC1dWouhXG5YjqeES9HNHEzhZB3F9PKwnE6No5D4NoqRgIzAyUGTAcLQOgNRX0UQDQpr4AR79PG+iqiSBWoz58KpqmydgXZ2EHBwfo+z5jYdQ1lYMXd+nLiR7eyWJTV4tLEt5Pvfk2vUbEDTfcgD/7sz/Dy1/+cnzta1/D9ddfn547e/Ysfud3ficB+j//8z/j+uuvxw033IAHH3wQr3zlK/HQQw/hxhtvvOiffZlqIaOfRjY05OyLifhwLpSeFEpsOIhx8CpdgPn6SHrvprObBAUAa+lkSW+i23xw0m8HkLFI+RslkHEQo/SB3iN/K/8u3nBP/g9p0i2llcTA+AEk2yLTY3JlJg5ubdvmupipAguraqAOYBFmJitUXYu+a2C6C0ngH45HVEcD+qMepjawg0XXWwyWgCxvSw0gzlRGEd+GNjym0bC9xWgGKKMwHo8wdY8xApkyIZ1VVQ1XB5aomi78bl1DVQ2aZpEBGLGwxWKRWNhyuUwdI/q+z3xhVVWtNUIsnVDo5LPJp/dErTxrQcfftteIuPnmm/HlL38Zr371q+G9xwc/+EF86lOfwjOe8Qy89KUvxc/+7M/iNa95Dbz3ePvb3462bfGmN70Jd911Fz7/+c/jqU99Ku69996L/tl7BbDyGh7T0lgU3rKN5RzW14i0RQ1s02Nz7EtqYPRYSQdLv7lwptumec0BmQwCL7rNU+MSkPE0kgOYDDpICLzIIkHpden/SpbFfxNnZARUfBELeqzv+yydlEBmrYVt2+DcN1VIKasWVd3Atl0AiaaDbh7J2JiuK5jGoH+8T1aLvh5gBxu8XoNFHYFMGl15Okktr23voI2DNQ5Kj9GLNkCZyMSMRl9X0ZgbvWx1E1JfXQOmgjlVZ9ogpY3kjqcLsTASrymNpJOQHDul4OBVMkzvO3xcB2Hba2RorfEbv/Eb2WPPec5z0u3bb78dt99+e/b80572NPzBH/zBE/i1U1zWltJAPo0d/GF28oI5BmJMyCfQmvOC7WKnoOAH5dpvLjwmgYsPptJ7Sp9RAp2S/sXbpvDHCJg2ARh9N/Wt4kXcpeJ2fnDw+/Q6ej9tWzoQpahPAEYzlMTaeNpE72nbDtXpOrKxCiama6qqwyxl8yhMUyVGZuoKplvCNIGN6dpgXI4w9YhxOWLQCnqIdY/MM0bsK+3DKObbfmKhchVwZTR0XWd6mKrqAK46/F5VtymVpP/bdV3aDgRgxMLoQtuASo02abE8BZfaqjxJ7hXI0nG35TVXWFyWFNKxFJI9yC7xcapNE3YKnjKWulTIVHKOjcnBwpkJzZ7M+adKOtjc4JoLXqjLzaulC2dg9J+4N2wTANOsF98Gs/uGAZlMewGkFIhYHXmdyCawWCwSgI3jiIODg7XJDg6ObduiOfU0qKrNUkoV00lUNXT9aGRhNcyiiWzsQpy1NDC1SQBk+9DY0DsP3VvACgbmwqykHRh4aZVWAVd6TCyMgCyAmAl6WNOF32Qq+KqNqWSXwJlsE5KFEXhJT1hVVfDeZ+n9pv3D9xG/vfcUkjToba+5wuKyrQvJi7mn5dUm8ApeMO7Kz/vjyxSSA9qu1gp5UEtAotfImaKSDkax61lw0+xhiVHySwnAeNB/4isSbdLIJNvi/1H+H+o5xVNC+RlSEytZLbIUk6eUVUjRTDOlk67poBePoeoa9OcvZNqYXfboH+/RnKrRPz5gXI6hM+tgYXuHqi8fhKYxMW00yehKDIy6WHjrUvG36weosYfvl/D9Ehh7YFwBY4+qPZVNvlRVldJF3uqGendRrSSxWt7sULJi0sBKZUp936dLqcfbEwo7brdRbHv+SYjL4gObbs9scM7E+EykWa/unysn4u1h5tjXXv7PTPfV4t8qnF05+6L7Mn2k/1gCsDkjK0+hJQDz3+ucS9P6nAXMvZYOMOnSLwn7snymVLmwnlK2UHULXzfQkfGotoM6OoRqOpiDx1AdPo76oEN92GE4WqI6WGK8sETV9RHAHMblkLExl7xeYX8poxJzC8wr3y9T0XdoUW2HESYuEOJXAcRU2wPDChhX2f7g3SgkkPHnuDN/0xji24vrjrJEaZ8NDad2Vltec4XFZe/IOtVDTmZWYmOKifhwDqpa94JJIX8ujdyFiW0S8ov/Q4BXSQfj2oYM2W1g7vdJBlZiYTw4A5OALVMPOoDmtMBSukIgRtoYGTu5F0quUs0BTepiHPC6rkN7eG1IH+sF0Cxg2gOoLgCYWhxCNY+i6s7DLBpUR0uY80cYuwamW8IuewzHI8alwXhsI4C5tHqRZfWRvN0174oRxqVLvcTsMMIMYwIvdEMAsHEFP/ZQwwp1d3ptpew5FsZfQ+yK2KhkYFrrYuse3vWCs7C9hfc7aGB7TFn3FJfNyMrFe4Dc+EIHc0zEtwOArpgiSuDaJY0Ecs2Lg8AmdkZnS+7L4bFJzJ/73FJ5CP027v+aA7NSEHhx9lXS8Ai4OQvjv5NrYvSf5awpgQ9PdeYufd9nuph8ftKSGBur2sC+mw6qXaTUsm3Po+oeR9U1GI6WMI8dYTxawnR9ALJuTEyM2ydIg9UMtHhzRXrexRTSDWNYIGS5hOrKaaTyLjMbE9OSHVPpcnx8vCaJlMYHZ64k5NOJoe/7tfrLvcVFGlmf7Ng7gFm/XgfJw9m8Fg2WwEvMRBbWiTyJ3rUNzIBcK9qkGRX/x0XqD3MWCs4yS6Al2ZgMycDkb+UX7sKn/yG1P2IIPOh5PutL3iZiZryomcCLDjyeCpF/SpblJDZWNUDzGEzdJgBT0XZhDi7AdI/D1BWGrsVwdAy77KHrZfR7Oeb9crMz4jwmbTakkXYIaaTul/CrY/img1sdQ9cdfH0M1XSoqkWRYRGAcYAjEONCPtfCst/C2BefMKHrS8PArqaQWeSLj06tfoF4QFmyUAgrhXex1a+DXGaNMxWZQkqBnutic0yspBVR8IEl2demFHLus7juVSqTot9bmnncBGA8veMgRjEn3nMwK9ksSv+bP+59sLlIDYynmJwtcNZFwCUZ2SwbqxvoxSFs20F3h3AXzgcA6c6jOlqiPugwXFjCdA3ssse47JOONR6PafzRuARiGql1EvfnNLEgc7hpcRDvABcWzTWtWdt3xpgEXsTCiH1xfZOPPbndaRtL0yw/MdBlb+F2SCE3EJMnKy57O51pIHEza2Bh00xkZGV2hK67bKeXtK+SoXWTmM9ngvhnPxGhf5fpcGDqREFBv4kG9yYW1jTNWjE3MTpKB3mpCn0WDfQ5sV7e59tZFrDTd9F3c12Q2zHodcQgpNDPAawk8mdsrOngjx+DqRr47jDoYt0hdHcAvXgMzZkl+vNHqA86jMse43IFu+zhhjGBGZ1AaVHctNiI0awWM5holQmNGBXVR+YbKW6Mea8i7QcuC5C3j1dg0Pgt7QO+LairxWq1wvHxcUpTV6vVxrF2orjKwHaPqZ0O6wm2poXZ5MgvMbASMO2qg82lk/z5bbGrgD/3WXO/cVPqyFNNXobEP4+DtjxDS02MeqrL1JK2MaUyQA5e/GTCAYgmCUq2CjlLKZmXTCkzNnZqEXxjVQtVk8h/AL84hDo6hD8+Qtsdoj46j+FomViYXa5QDSPscT8t9hFtEorNRCqjg2l2EcqaqGeZqavQSaMEYvFSajbAZ5C59YWAjNspNu2fkp5IdZbL5XK/AOaGqDtvec0VFpdnFjKd/cTiHkDygmUzkbzBYTzLyTOdTB+l0XUXIKPrkzCvknnwJHqY/C9AbqWYAzNiaHVdZwIwAZnskbbpPwULQwAvDj7k4udsks+ckrDMDzxiYfQ4MUCui/HuDXQgytk0crSTOZQOYPqMbnENVLMAjh+DbxbQzQLoAhPzyyOoo/OJkfl+CbtcYVz2GI6WcAcj3DDADtMK3kC+0IimCoCuDSDWVGutqLPuweGBNYsPP8Hyfcf3LWdhc/vHOZdpYTx9JBa2XwCb0uxNr7nSYiOADcOAd7/73fj3f/939H2PN73pTXjpS196oi/whQJJLpaqqC+EBWcYcBVa68jBwtNHeoyYxCYdTKaOwG66mIw54JpLJ0uDds7TVmJfXB+jz+NA7JxL22FO4C3ZJKTFgkCMpzp86p+CwJyXykgDJj/46ACkQmd+OTg4SK+R5Tkc2JrTTwvu+KaDbzropgNWwXLhuiOodgG/OoZaXoDpl6i6C5km5voAZtk2sQ4mtvVJ4KV1WqAEptB3K5qulcqzAtJnOfOaG3tSDpBsnrNc2o5UY3l8fLzXRT3+T6aQX/ziF/GUpzwFv/Vbv4X/+Z//wU//9E+fCMByE+vkdp4eE6nkjJBvTJNAqcQ0ZAq5qURnLp3cFnMlRvyxTZ/DdS95ppZnbXktmSb/r8DE6qhERf4+eZDQhYvtsqV0KY0E8tlJzkbpIKP9QyVIfKUemQbxGbXlcolTp05lrnUCLw6GgZHFtLJeAFULXy+g6w6qO4JrO/jjAGTu+CjMWi6P4PrAwGwEM9pG3rq0JByBVyhdqmJRd2GfshOt0vmq3qUUUta4bmJg/ORC25NSTmJf9JlXAWwLgN1666245ZZb0n1TOhPNhBPgxSMDMmqrQzM9VJPlJz1MVevMS57JZArJtZhtIFZy98uYY2cntVOUBPxNpUSyZIWnkBzE6P/zGUX+Ovq+k4TUZOQ+4FECNtl6iBd7l4R9KfJzfUwyu2BVOAw2i/4YaMgEu4A/OA5p5fER/PIIvj8NvVrC9Ev4cYBbLjNZgyLpXkaH2szuAHpxONk4mi500zBVan4ol5rbNh74JA7fL3OzxTKNbJomAdlebRRJstnymissNgLY4eEhgNA29q1vfSve9ra3nfgLZBudtCoReDcKlxa4pbQyzEIO0TxXbjFdKjOSKeQuTKwUJ9XGgJOzMP49HLj4fQnSdJHg5L1PjImzVX5d+m3btLJSlBrvyccp5oq6CbAobeQgxbUxEvcJvCQra5oGTdTHVLOArxdQ7XGYpTxcwh2dD0bUWA7kV8dQ3TJ5D3k9LrSeVhnXegKv7jB40KomAlgdLkrDu3JvuIuJks1FppHEYKuq2q+N4v9qMfd//Md/4Jd+6Zfwmte8Bj/5kz950V8kF1jw0SNm3HwaSRoYXG5olemiLCcqpZglRlZiXvKAPqkulv7vhsEs9RDJwjj7KqUmMo2k9JE77TkbpfRjU9pCwL/pP/CCbPpdtG3mGBmZNnlxNwEQBzA528Zd/HR7DsiGYQhAdnhtSCuHwMAwBOMphiXc6jgBmeqXAbzGIVxHJpNmG6P2lXqVEZDVLRA7UkAHJubHfo2F0f1NJ03JwkqWFr5fuBeMTnJymz+hcDsUc7v/ZcXc3/72t/G6170O733ve/GDP/iDO3+oTBl5O500nS3TSD4T6SYDYaiPHKFNk4FTybg6B2JzQv4m0NoWJfvEXPDP5yBS0uLk/+EXboTkIEYARtuEg4zWOqUam2a+eNCBIQ8QzrikNkaPURBz4ClQXddrAEb9sohZ8A6n5OKXQMYX0uAznARk9eFT14GsPQCGHn51IQBZAq8+3GaRVhVnDRdV0wF1zsC8n7YJ3y7bYhvrlToYvYeDGN3fW0RGuvU1V1hsBLDf//3fx/nz53Hu3DmcO3cOAPCJT3wCXdft9OGbSopSRBofgGvqRAFhp6DC7k2pZAnEdgUvDhrAyfS+7O9sSSP5d9HtOQ2MgxifiZTgRRoKTyNlmsnTzZP8F+4Pk+BIF5qhlN44zhL4iYcXNRNwcSDiAj+BFQn9BGoSxPj7qS6RAxn6Y/hxFVLNcQXYWKw99sA4ZIvcUqgmpI2qblMnWVW1SQej7cGvTxJzY4wbinnZFtcBLzYzmAtafHrba6602Ahgd999N+6+++4n9AWymaGzLon4tFq3IvSnay7kJ0HfFtNHSpm2pZDbwEuK6/x6H3ESC0WJffEDn7YBBykpmBMDos8ahqHI/mRwNz1nA/QcTzVlakgH2ZzJl7MxsmzwtJGDFwEYt1wQaBEbK7WZkSDWNA2qww6oI3DVx/DDcbDn2DGBGdd3SKMNvfubyLiq0C2jCmkkTA0bu9HSfyt1UeWxTVctsXoOZiTk04njiWpuWXi7nYF9NxRzb4qyoO/STCQxsUzIpwvz3NCl5NA/KYjxWSHuy6Hrk7KWTVEyO1LsCmKSsRGISf2FBjixID7jpfXk0i+l0SVWKJlq3/cwxmQHlCwrouAHI2dl0iTLo8T+5ExlCcho5SB+O9kZDsJMpeoDgGFcwdsxTBaR/uNd8CR6m3rhw9Sx+WILtIdA082CJ59BLYny20CnpIURw+ZASax3b7HHFHK5XOId73gHHnnkERweHuKee+7Btddem73mnnvuwVe/+lWM44hXvepVuP322/Hoo4/illtuSSsb/diP/Rh+/ud/fuN3XdJi7vJt0Y1CBmdhdgx+MBfOkKaq12bY+IFOKYosh+E0fFdGxq93oeu7pI6lmPOslQT8OTDjM5H0W3i3A/4dxMRK6Tf9Z74t+HfJ++QEp8doG9H38kkTuZ1KLI5irvyoJPaTAZYDGM1OEpBIL1Z98JQwxsYeyg6hTQ5rpAmEk60iu4Spg2gfRXw5c8rtIXNF6rxGlK53FeE5iNFn8xPGPiL06dv8e7Y9T3Hffffh+uuvx1ve8hY88MADOHfuXJbJ/dVf/RW+9a1v4XOf+xz6vsdP/MRP4JZbbsHf/d3f4RWveAXe85737Py7LxsDc5Z3yRRpZLRSKFonchyg7AhUTAezA1A1a5oOZ2IlEOO+MAliwPoBuyl9pFRsX8HBSgKYZGv8NmdoJW2LAIFARWpW28BbsjG5DeRjJZZK2x9YT4fogOS2C94Di3RLXgzOuzHIciS+JiMHMFpclh4js+40y1vD1F2aKAoAFptphj8PKBNYWFxpfGS/h1cXSLAqMTAOYrsG32Zcg6QUfG9Bmc621+wQDz/8MF7/+tcDAG666aakn1O84AUvwHOf+9x0n/7P17/+dXzjG9/Az/zMz+Daa6/F3Xffjac//ekbv+uSAhhV//OQaWSyUvCOFCUdjMT8GSe+BC/uidoEYiUg4weoBK058+FJogQS21JcaaGQIJZtY6FLEZPhwFhiYfK3lX7P8fHxzv9zky2DswqtdWJKnDFLxsXrAWU5Ehf16VqCWKl313RCMFBm0hcBD0BNIr3zsLZf+118VrVkCZFp49wMbyk4e5XeMNJ/9xXexgmNLa+Rcf/99+PTn/509th1112H06dPAwhe0sceeyx7nk+6vOtd78KrXvUqHB4e4tnPfjae//zn44d+6IfwxS9+ER/4wAfw0Y9+dONvugQNDQvFzolx8QVubbotZyLXdDBiY9FOwVlEaQaS+6Ak2JVAjIMEBQeGi5m9m0snpZBeAou5dFEyMA5iMnhZEWejNGsomdjc7ztJcEZF236TsM23EzEyAjClVNYgkS9RRjOXx8fHWCwWODw8zICs67pUBE4gJts98xOC9NbJ384Feg5cvOypxL546su3QamelAefxeX3+Yno0mhgJ2dgt912G2677bbssTe/+c04OjoCABwdHeHMmTNr7/vOd76Dt771rXjhC1+IN7zhDQCAF7/4xVgsFgDCgrnbwAt4MvqBsdlI2jHrM5FCB3NsqbUKa8yBe8J2AbFN6ZMEMq79EBO7WPZV+lx+W4KyBGcOZhN46akNCptJU0pHRmPWtsXc9/DnZEXApm3HgZREfTp46bPpoOVMgm8Dzi7C718/afA0TOpOnPXQhYOZvMiFNkopvPR28e/iACY7a9BtadglYCvpfjzkiUOO0UsRqWnjltfsEjfccAMefPBBnD17Fg899BBuvPHG7Pnlcok777wTr33ta/FTP/VT6fG7774bP/7jP46Xv/zl+MpXvoLnPe95W7/ryekHloBr0sL4TKRyzNCaHPlBAwMDKn4wlDSwuQOXWNg2cV8ym33OSFLskj7OA4YOArQdprMjgZgK4rPSGkZXME3QD/kER4nt8ceUUmtAJgXxCxcupNtUaLz7JlWiAAAgAElEQVRardY8S6RvldIqGVwC4JMn/ICXojgXuEtAJp+T9aWcgZUmRug7OXCO44jlcpkBmLxPqS9PN+lz5sYDZ2ClE61M+/cSe7RR3HHHHbjrrrtwxx13oK5r3HvvvQCAD3/4w7j11lvx1a9+Ff/6r/+K+++/H/fffz8A4IMf/CB+5Vd+Be9+97tx3333YbFY4AMf+MDW77okACZ7kNPKyGGlmGmWJzxH9ychf2JkY66BxVRS6/Jya+QJmwOxbYAFlAcNZ1/7EPK5bYOCf/+c2J6DTASvYZUL0EC4rXV4XOkEZlXVwMSKBsk25KyuZGVzTEVrnZW30Ov4Ooj0PDEy2gfhp5aBjFs/5qJkUSjNXnIHPwGQ1MNKIC5/2xwD4101OIhx3U4yMPo8vg0IvORY5Lf5OLhSRfzFYlFM/975zncCAM6ePYs777yz+N7PfOYzO30HxSVjYAHETHFBhWw2klYrylLIOBtJQMZnJO0IZaYl2jkT42dQCWJ0hp4DMT5wS3Ep2Bew7j2TIFJiYMaY6F0aJgYWVzVPkx/KAKqfrAAu+J1U3aKum+w/lw4ObuGQACZbxRAL0zrv+87rOXk6yWdHudZEwc24FHymEkAGVpSike7FC8A5eHFxn698Lku06DfKkDYJa20GWnShx/isKWdevPyoZHalsTx3UgWwdwbGdelNr7nS4rKtzB3uu7X0EQiAZgAm5LuUSpKNIvjBpmnuEnvYlEaW0rCSmA+sDxgaKMS++ECiOKk2Madz0PdxEFsbwM6m5b2SGZP7mOig0Bp+jH3ddQ1VNwnITNXCNE32Xfz/SQArgRlnZFSfRwtYUCpJz5PxlcALmLq5cstFNl6YYZNey4V+slsQcEm/GDn6acaSQEwK+nM912RwYy1dOOOS4EWpI085+QzxLmNDAhkHrrmT7UXFVSf+5nAzZtbMje+mGckEYol92cg6qpRGyoN+Wxq5i5jPD1Y5KylTx5OCFn0Of38JLPm1BBNjDEBO8iGCVyqHyc2YUHryMqke3g0RyCJzqxeoqwZaT4uFlL5TMrNS25+59JKfFEjgpyBmxjUyIE8rtdaZcVMCCLFqycLGMXRwpVSObjdNk1hYVeWL0c7t+zSGmQ+LAEkCGF14SZRMZ+m/zvnCSsyrVJ2xVxvFOK4VtZdec6XFZeuJT8FTSh934FQTSc0N2QIf3uUHpkgjZSrJD5yL1cLkWY/Aq0Tb6bXyoJNxkrOlNOhmoq0jIB8n8BpXk0boXTAC0/eRBqY1EAEsAZkdgHoBU7cwTbsG4JyZ8Nt88d3SatTUr/34+DjTv+YOaHlQA+v2Atru9DvSGBLlSwSIpX3Jw7l8ARIS9gks5P6ifcwnA5xza+yLwEvWdvIZ0zkGRr+Tj+O5tJ08c3sLtwMD2/b8kxCXHMB4GpkKu+PMo5NMLAn5Dn7ooZouAJsdAT2m55JbmrGuOdFbghhnYTIV4gMfyGsCn4g/apcoHWz8f0zp4zjNysb1CTH0CbioksFPHwIgtIhRdVwwlgGZsmNgY82Aqmphou1AbkcOWvxAkgBGl+VymdZEJEAjgOPaENeI6MDm10CuP5Y0Ku41I3Fd7qNSXWXTNBl4SZ1P7h8+OUC3pXDPgZtbKeTamJs0MLou6Y60SC6dFPYWV1PIzTGZWP2aGCiF/DUdLGk7MYW0FWBGmKrNLBTbhPxthlap9XBA4dS9dICcJOY0Dv5YiX1prYFhqhEFFSK7MfW18mM/TYRodpBrDTUOUFUfgExXQT+reqAZIxvroeoFmqpZA6u+76G1ziwU/DXbQIynVGQu5aU4wzBkDQ9lqUwJzCh4tQUd1CUAo2vnXOr/T0BWAoxSyFlOPvvI/yP/zxK8OJDy38b3/5x9hcCLfvO+wu+wKtFO7bEuc1ziUiKfXWdlRG7ygKWSIiD3gcU+TaqURjoHwK+lj5u0MKnrbEsd+e1SPJEBVEopOXBxLWpKKTHNProhCfludRx6Wo0D/BD6WxU+HF4vQ6/3qp46jtYj4Ab4qp2Km6sWplnAtG22XSSoETPjFwloy+USVVVlaWVd11lZEN3nbEiCGIGb3G6kgXnvk22DQlYAWGvTQiZSL5PVDbsAmHMuAy4JYjx9lMxLsq/SSYxva37hmt3e4moKmYdEa7JVAMjSRw5iSfeyzEaRlnN3ySoQrBWBjZEnTIKXZGI8pSylm1KEljOSpbpBep7HSQaVZGL8mr6D/1ZEb9zEvqLwSuC1Op7ulxr0VTV8v5wAbOxDw76mg6p7oF7BjyvWO2uBulmgWizSwUMgwbUxCWocuDiD48I5ARpdaMFXOthpXxGI0UxkcawxcKN9LdMr6RUjkCRPGNlAdgUw+hyuc5HOJxlnSfPjv6c0JmjM8W1IpVG0/a4C2OXQwNaAbJ6GkpCfQIrqIoceSlfhoDUxjTRV7BGGreAltS958EngkulkKUqD52IHVAkEi6DJgHwCsD4DL98vQ+tkOjDYoPPaQNV1uNYmAF1VrwOZHeHHBhj68FzToakXRcCSDKyu62y2j8/MLZfLBG5SEyvpYlSGQ2kXgUpJACdtjAf3iG0K7iPkxeVyn/DP4+VBnE3KhoxS59tUiSDZf1VVCcSI3fKJkr16E912H9iuRtbLGZfGie88+GHP9S8AGevKZyId1kqJSAsrzkYOgK4ScG1KI3n6uIuVYk4bk58B7E/Ul5/DWVgAMDvZSeLCqohpIwcv1y+nwUYr7yAI+b43gYkxBub7ZQAvuh5WUO0CqPrQhnlcAE0PUy9g6sk3VRL0ZW0gBzJuNZjTjjiroYOdA0YYX7sBAJ2M+KrYFLT/ZIE16ZtzRlb+e5xza+BV6kjB08dS9YD8D3PpI4HXYrHYPwOLzH3ra66weBJEfG6jYKkkE/JzEBMGTWpyGMELboSq2rVSGGmp4EAmdSapf0gz46aZyF0H0a5lH6UUNRPwGQNLC1LQhcArppQAUioe/0jY7nHZMFUFPSyllk0HRayL7reL2Dd+BVWvgLqFqRdYLDqMo03gxYuk54CMzKQlECMA4HYLzsB4xwcgr3+UIVl0aaKEPoPeT2DJx498LYAMTAnAOAvjZUWl9HETeNH+5idhLt7zy2Kx2K8T3+2vmPtyxmV14k+iPnPkSyG/pIPRtR5Dd8zUH2wEXA0S8/nO34VFzYn5JVMmBQeYvZ4BRRRLRYh1MaAPtok+pZKITMz1A+TircpE0DUaSmsow0T9qoZaLcNKPMs6gZfql9CLwzhjuQSaLgDZuEBVtahOCGQknMvFOvhrFovFbEpJIFYCAQKjObNwyWFfAiqeTsrntgEYL+IupY8EYvL75fjlDFcC2GKxSG1n9hXeu60A5f83rgv5REPWQsol1ih4Srmmg43BOa6qCby8HaFMnYn5m7SwudRRsi8+0PmAl5qYZElP1BU9B4a5idXFsqEI3jx9HIaURtrlKrQrGsZs7QECMCCAmTIauu7z1aj7LrCytoNaXoDqDiZ21nRQ4yIA2XAcV/xpUdWLnYGMDnLqkrparbIUkzM2OuAlmHFDKWdRc/tgjn3J4HWzcp9y0NykgfHHTsK8eJS0RhLxKX08ODjYc0vpLa3e8V1YC0nh1sCKMbESG2MpJMYh1vAx8ZqYmB2CmM+c+XOWClmOM9fxYZOoz2vQpN9oHyBGIUX88B1+qkqwA2gNTR9TRz/2iXnZfoQbRrg+dj+YGZy6Cf91NDrcrnuYegnd1FB9B1Q19Oo4MLGmm9ZJ7A4nICNGdgIg47f57JpkaxLMSmklAdgu4ED7isYHkHeE4PuQ355LH6Vex1tfS/bFvWNzv6s0cUMTI7SNCMRoYd99RcmfWXrNlRaXoCNruPbWA3X+nLeTWS6vhQwDUEsdbOiBqp5YGc1GkoBvaGYyXBtTpU6kUtiXGhhPIUspY0lHAZC9X+ov/AC5JMEpfFY7GsR8OAs7TOBlIwNzw1DsCqKHUHKktIZaapi6gm0q6LqCaVbQdQXfBnFfNx1Uv8jF/u4Qqm/hmwhk1TEwLNaArGmadHDTbUqzeFopjaH8NdIMygGMi+qSjc3ZFObuS/F+bl9y4KT7vIKA1zpKcOUAKkNKHHK2l9JIArN9xdUU8gRRXCuS3SYdbC2NrOowGxnBy0fmFUCshlJYY2EyjZTaF7+9i6WiVCNXYl+b9DE5+Omx0m324HTtJ/1rAjEbdC/rEni5YYTth5RKUnBNLF20hjUauq6hmwqmrgIrW/aouiV83UxpZGRimqeW7QF83QD9AqpZAKsWVdOhahewHqjrOmMptGqQBDJpPZBAxgGs7/vEbKRlYpfUcm7fzD0+x7Lpu3j5E92em3XkTI9fA9NJksYjWSi4C580xH3F1RRyJngzwwBUYUeVurJKHYyXFaVFP8YhgJajdIqlk8xSIVNIDmgckChFK7EwKeLzWUkqQ6KQ6Qe/fqIxa+CkNJIBvhvWwYsAjbZ39tlGQxuql6RUsoJmYGa7BrquUHUxvYyg5ZdHExNrw23dHcKvjoBmEcCsPgr2i2aBtj3M2jpbaxMj4wyMgxfVNnIAK7ExmaKVQGMToO3ymtKMJz8R8U4VsrPGHHDxkCdbDl4cxHi51r6Cxsu211xpcclXJTIo9HliXVnX9a9JBwNpYWNIJZOQ71wopXFVYGnCUlHSvySL4qngphRSzlRumrreRQcrHQQ7MwTOwhKoTyyMW1IkeHFBn7Y3EEALYGxsqWGaKgMzu+yh6wpjXcEsGuj6GFXXTEzs+CjoZN0B/PJCeGxxCFRH8PUCqI+C4N8sUFct6oMFxnFagJYL9LwFzqZZyBKIyTKfOeYzByrc28fZ3C77SHbSKKWPUqOj8VICM67PchCTnT/2FfxY3PSaKy2elBQSCOCmt+hgcGSnYAzM2bDQrYupo9bhNlkqnC2mkVIY52e5kidsbvqdwI+zsF0F/CfUApj0B7oWdhMXASuA1QRe47IPt4cxLXM3Vw2hjYIyapqVNDroYZRO1hXMhRqmawKYdUuYpoLpWsbEAqi5owBiU3p5FEqUeHpZLxIDI4AiVrYNwPjtkwJZCdB4ikj7iSYhgGkWmgvn/L0SvHYxrZbAi48vAi+6linkcrm8+PEk4moKycL69Q/OU0mfzURyIKPHDFvkFnUzzUaOA3zVTJ4wJywVJixYSmI+F/RLxdzSc8NBbE7Ip4FszPpKRSedjbwowV+IqWRA5H46zrxCemDTmgR2sMUZJWVUYF5mjKnlBGgJwNjtqmuhmwpV18B0x6i6o4mVNR388nDyk3UH0O0Cvu6AqgWaOCFQtWiaBRrByjigcc2L7ksw4w0OSyC2DcxKr6F9S/WffEKIn7xoXEhbQ2kiQTKw0hjg0gZnYLyQmxjZviItrrPlNbvEcrnEO97xDjzyyCM4PDzEPffcg2uvvTZ7zRvf+EY8+uijCZg/+clP4l/+5V/wrne9C0op/L//9//w67/+61tlmMvU0LB8xueoT0DGdTCwNDI5ymlJ+IrZKAqzkjKFLBV2bzKzloR8zuAoTsLAeMgzMt0vdSUFEJoSbtzGuabIt6+zbgIwF1iY7ed+r4UyKoGX0hqmcdDLAaYxGLWG6RqYJqaWTQXbtRkrq7oGvos+sij66+4wzGh2EdTqFr5ZAFUTWFkVWVnVomkOiwDG+3dJECsBGTGhbWDG7/PX8K4YXPPkBxV/LS8ql68vAZcMKU/wCSM5Dqmca1+xz3Y69913H66//nq85S1vwQMPPIBz587h7rvvzl7zrW99Cw888ED2nz/0oQ/hbW97G170ohfhve99L770pS/h5ptv3vhdl3RRD11rODvVRdLBExzifu2g4zqYG0aYWqSRxMYcE/NtXHlnzVJRZ6yLpwnSB7aLH4yDHoC1dALY3QsmU0n5Hr4e4ab1A2mbwuUMNtuezsH2YXu7wSb2a3s7vT/tMx+AK+liCtpojMsR2ijo2kAbBRPBTNeBiY3NEiYJ/W1gZIsAZLquoNoOnqWXqumgYnqZRH9iZRHQ6qpF3bXwShfTRW5k5UBXajnNL3wGuARsnL2Rzsb7oXHWJGsjiZXTNa+33KR3bQo5iTR3In2i4eKJbttrdomHH34Yr3/96wEAN910E86dO5c9/+1vfxvnz5/HG9/4Rpw/fx6/+Iu/iJe85CX4xje+gRe+8IXpfV/+8pefPAADcsSeFfQZcAFIOlgxjXQ2dEiogtaVAMtTGkmAZgAzpYFSCyvZKmQauUnIl0ZWycJKQCYXSU3bpcDCSq/LYgMb4wul8FpTAi/bh/SRp5HTKlEeyjB2GWcnTUOlRyO00eG+UTC1gWlMArPAwpYsrQxgppsLqLrHYQ4OJgC78FiYySSdjFsxqjboZXUTUsyqRXOwgLUuAyoCG5rBJBDhgEXgVuqnTyA0p6MRcPF0sbTPqDkiMbVSiinlhYsBMrqWksY+wkfNdNtrZNx///349Kc/nT123XXX4fTp0wCAw8NDPPbYY9nzwzDgda97HX7u534O3/nOd3DHHXfg7NmzWcuk0vtKcdmc+LrW6ba3Oh1cCawQbQFb0sh1T9gEWPI2X/iDMy6pge3CwuYc+aWFPnZhYVz4LaWTAPJ0UtMCHeVBm681wLfhpDva3q4BmXc+AzAZyijopYbSKjEyAi9lVAQwHcFslYGZibOWpq4imF2A6ZoAal20YnQHudOfp5h1A9QhvVR1E1ZSEmC2Sffi7GzXC3fPE+uSfiuubfF0lk6CHMRoTJxUZpg7ecpxua+42BTytttuw2233ZY99uY3vxlHR0cAgKOjI5w5cyZ7/mlPexpe/epXo6oqXHfddXjuc5+Lb37zm9n/Kb2vFJd1FtJZDz2jO3JA43aK1FJnGKDiytyIJUahr1WV/GBemY3GVrrQY3MdWueAqyTkn6QmsqRv8XSypIGdpN6NQJ9bJbju5TMgI3Y2TaqsLUjsPJRWk0+MaWOhIDwAWM7GNHRtYJol6kW1BmZV1MsCQ2tyOwZLLQnUgh2jCR1jq8DOVLOAqRqYugWaDt6jmFqSbkb3S8yMAyBviijXBZC6F/Un4055+g0SvObGRAmASmkhyRZzcsY+Yp8i/g033IAHH3wQZ8+exUMPPYQbb7wxe/4v//Iv8Ud/9Ef4+Mc/jqOjI/zTP/0Tnv3sZ+P7v//78dd//dd40YtehIceeggvfvGLt37XZVvUg1/zmciMLcR0MrdTcObVBxZCKSRZKmxY93DN2Ko0jKkSaEnGxW0UPI3cJOQD6/pX6Qy7y9lxbnaKp5sTqKlpdSGtU797tcP3EDjlQBa0sem5fGZYBgcxArXAzsYMwPjtcWkSM6u6GvpClXSxAF6klzUp5aTUktiYO2LO/zaI/sFbFtJLVC1U1aA2Neq2gVd6TdPirKwEWpx5ka2DSnd4d9k51iNnM+kzSdiXEsbatmWPyVW75W35nfuKfdoo7rjjDtx111244447UNc17r33XgDAhz/8Ydx666340R/9UfzFX/wFbr/9dmit8cu//Mu49tprcdddd+E973kPPvKRj+DZz342brnllq3fdVkZmKyPTOyAC/gsjQyMjKWRXMw3Jgxma6F0NLZaDU/LhSkdWZhaAyM600pj6zYRv5RCltLITVGq1St5haR4H/QBHVJkYAIyE3p76VQWZFLXCS7GZ/tBgBXdd9bBxTRhLZuMv5s+SjMQC0zMrYHZuCQ2ZmCaHlVXwzSTuE/gNaWYjUgxGZhJvazp4CvSyyKYmQqqalHHx0gbk2ninHgvLRxUeF5VFZbL5UZGxsFrGIbEzGTvewk6JUDjY2TOELttcueksQsg7gqYi8UCH/3oR9cef+c735lu/9qv/dra88961rPwh3/4hzt9B8XlsVEI4JqKuvMe+VqmkVakkZyR2WCngA4HbTCzTg593rG15MqX13NlRWQk5LOPHLiynvUsNg1a6Q/i19IAWRyoSoeW0ImFxYLsWNO4KXKtjLNih8ESePkEYLZwkBilYJwHRhduK0Avx1h+pKGNLQj9GroeYloZZjF5ihnE/mpjiumPuvXOGBLMTJU0M1QtKlOhqlqgbYsAJm9z64QxJltRXLIweRLin89nkAmEtulW8oQli8XnTnb7iHAS24+N4nLGpW9oGIGL/nwRuDi4sTTSDSOs0VCGzTxmlwhsNjY71MGV7+0YDuRYXsSXXyvpCBzEttVEykkB4OK6sm7qmsBBi69gY0jET8wqgpieWFd4XGf3S+FY6kjgRcDFr7PfH+8aNT1OAGaUghkdTB8BjfQxnQv9w9GkkwUAm/Qyw5lZTDGnGc2CXlYCs7j2ZaaZ1Q1g6qCbRePs3IwmLSIyjmPW43+TbYGbayUY8kVJ5Ezk3GdJg2qJie2bgcGyzr0bXnOlxU4A9jd/8zf47d/+bXzmM5/Z+YOd89Amt0/Q7VTUXU99iLI6vbXZyOD7ooM1v+jY6JA8Y4XyIrH8GhdrOZDJ2UjpyJ/rTkGC7y4Dkw+6bWdXfhb33gMqMC2vGHCxtR9LwKXN+kEnWZhz6+DVOw96FQGZTCvDR/t4W0HHxxKoDQ6NVjAXBlQ118c0TGOwqjUDMYOqWxWZ2UnBDFWda2YczEwV2mInMDvITLN8tSJZN1ti2TIFpfuUinJApM/eFrKWclMaua9wo91arO3G/4UA9olPfAJf/OIXT9TC1noPw85W3MxKM5Ek5Ie1IHMdLABbLuyvs6+JhRG4qah7BVbGWJjo2CpTRynqb1qtiM/8ZN1SsXs/ME7/S7f5TGQm5BMDUzFtDl+a0mhemK23sDBuoQjAFfZb7wKAOQQQo/25KaUEkPZ3BmAM1JqYbjZ6hFFAVRvoWjPACrdNbVAtKphGo+rqIpiZpt48kxnBzFFn2Tkwi5UAVT21xqYJGm5e5WOjtB+5oZbAi5f/cKc+B7FtM9ZzJzaeou4r/s/WQj7jGc/A7/7u72YC3MUE94Lx1YkSiEkdrM5NrUUxXwIb6V6UZiUtbOrYKkGsNBu5awrJ46Q+HwBJMwHKM1kcvLz3Qd8xdQStalrfsWrC8mgmNCU0dQVLmlhiPWHGUSdwc1A2CPHGWRgVQMwolUCKHku/d4aJ8eeIlQUQ8wnMBg/UyqN3KrAyN6IZFKohlDnxNHNcjqi6CuOxTTOZ1aKPpUpNEv/HTPyPJUys3Q9PLT0xtOgxQ93AD8fJMBtKmcIamNQhQ85Yr41psc/mis/rus7KmqqqKkoHtK+50VZ+luyftq9wbgcn/h41t33FVgC75ZZb8G//9m87f6BkXzxoCp9Sx/DYBFiSdck0Mon5NAvJLQVJC6pSOhlWL8o7tvL0kacIc7ORXMgv6Wd0KZWNrP1/kRqkbTajb3AQs9YCTQQvUyU7iarqIOBrA1NXGONMpG4q6CGCWe+m2sY0a6gTC9NWwXgCLA+jgDm9VmpjHMw44FHmOoGYR0/XLoBaoxWM9Wh6hXo5JgZmmli+VGvUy5hiHhlUXQXT9DvoZazdD613yXWyWJupmg6ojmNNZru2mK8cH8C65UGmkRxs+CxoiYFRyLFAry313pcLpOwrrrbTOUGQkM/BLKWOCbgsvNY5oA39lDLNsTCqjaR00tJCuPVGBiZ7hnGTYimNlCzsYn1gu16SF0xXwfNmqmkmsm4CmKXe9lWWRlIdo0neuwBckoUB66wLQFHYnxP5rc9ZWPjMnJH18XrpPOrI0BqrYpo5oiaHf2RjfCaz6moMRxpV10fdrE7F5Wk2s67X/WWClfnjo6kes10CdQc/LoB6Wsy3bQ/Tvudu/Lm0jgMY9TYjECL2JbU0OuFl29FOheicgckutXsFsKs98dfDWQdlVMa8+HNB0M91MJ5GKjOZWp11ULpgqSBzKzGwugkMjHeoEJYKKdZLG0XpUhLygfI6jnPsi4KnCLuI95yFGa2TkK/qJi2LpuJ/13WfUklXU3/70E5HsjBtFLzRYYZ4wFoaOSfZ7jZTCZDAH+6z2crCdaMVjFKoGZg1ekS1nLSykGIOQSMj4X/RRzDTa/6yqmsFS5tKmHR3MK26RO1+uh5oVvBuCF5C51C3h1CFVbClTYID2Gq1So0ZaYEPfkLkGicfL3Rffi4tFMJX/N43gIF5Aze95kqLy2tkjaLxNCsZWICzHor8X5qXEjFT6xB8RtyVrwi4GAvzQx8Nn3rqm886thrTFGchOYhtAjIOXrycg96zTScoCa+bwGxt2pxqPU0VxPykg4V0UifwqoP9JK0BqVMJUAZkRgFDtD2wNLIUJZuFFPfnjgGyXhBg0e0AXOtA1ugIZqNDs4rgZlRII48mvSyAWR+F/9Ws8C+7ZJjuCKo7nFZdWh3D90vogzNQdoSv+7gavEMVQYz2H59c4d4vvq4lgU7btomhkbeM2FgJvORn8hSS12gSOO4r9tmN4nLGTgD2Pd/zPfj85z9/og+2HoXeEyGc9VCamfasA6DX0kinc1NrEvPHAUqbMgujIm8q9E61kcFSoSqsMTAu3m/qEcbNrDyFLJUW8dSAbpNgz7WTkogvOydkpkZT5SBGK2vHNFJTw8EhMA8C/zql5h7OTulk2P7hf7nlGMEkXBwUQiq4LvDn+zoHr/JrwvUEXlxzC9/TaIXe0fUEaHUEtMYpNHbI9LIk+M8I/zYCmO16jF2DatmGxxY96oOwjqbqDqDHHiouDKwOTkN3Y+CPLmwF0x6mfmR06bou7SO5WC+tHkRMiTMwa202/uRJjwCOriULa9s2raO5r7Cjg9WbAcqO/0sBbF8R0sCJiktR35s8jaT7dggdQulgNMZMmtfQ5yyMirxZjzCv65B62gFwzZoZtTQDOad/ldJOei91gd3mBwPmy0RowMoUJfVcb7oo4kcdrGrSCtrhdoeK1oSsa+hmTEBWLbYPQN1bGOuDXuU8+nBuCdoVKzMqXQCfgC68rgx2AQjD6wGVJg56tw5wAGBVsHUExqdgfRD/696islWQIQYL21tUiwq2D8zMDi0pFGMAACAASURBVBa2d6hjV9oqdagdYOIaAWYYUTtqZ27hnIWO+0dT5494Iqq602iaJjsBcY2KuqUSkLVti+Pj48xSQSJ+yQbBxw0HL0pLV6sVjo+P0+fsk4H9n7VR7COcDWKxiSOSwMpZlXQwxewUKY0siPmZpYLMrZyFRcd+arWj61BeZCNjcSO0aTK2JbtTcGArOfMBZGxsp20gZprosU2XUhO+kEVWUKaCr1qoahnSR1qvsZqKpXlXD07/nfUwm/SOXqhfDFiACbBCU9c4uZBd78bY+Ov5Z/TOM4YGNDqCl1YYosm20QHImgtDtGKEzrF2sKi6arrug02j7i1cP8L0AdwJwKo+XNeWmgOE7aSsDTWmALzWUABgKjTtqWRK5t0uCLAIvGjRjbZtsVqtkqufCsNpDJS8ZTRGOHgRYBEDOz4+3jOAbRfp/ZXnY7083Sg465JBOhhgklCfpZFMzFd9MKd66wLdJ/DiLCw+nlrtZLWRY0gJWBopmVfJC8bZmHwOmG+ts7Yt2FlXmlclG+PAJVPOytRhhpWnkbRu4zBAjT3MMMINIZUkIdtbB2Md6sX8QCWBH8spJQ7syAOamBVYqgdIECNGtQnEwufQ+yb7RunCWZtRAcj4b2icZ56yYA9x0V9WL6rUB832NrEwQyz1sEtrBzTWQcfZWO0cvDFwcV96pYNFx9TJ18W1KupiwVcN4ovRkil2rl8YjYWSDqaUykDswoULqcB8XxH06S0A9t0m4lM5EUVgXj4xMqW5DuPgrcrTyARkdmJmLKVcY2FU5M1b7cTVi6aOrXkaOQdkpZSx5AcrGVq3pZESkCR4UYoh2VfSwZpmSiOrFrpdwI0D1GoJVddQVbAO8GXWvHOo7OZ1BEPXCqblDQ5msEjt8yOI0TifmBC59ssgxmP9vp9SRc9Tx9x6QSyMgKxX4buHApC5IZim60UFNzhUXRUBLDC08XhEc2paao7YGADUtN8cZ2BBkvBaQ5ka1eKatDAvifNN0yQWxkGMgIxOgsT6CcTkTCI/sdFrlFKpOwalpMfHx/tflWiLBvZdk0JOXqApfOlB9pzT82kkifnO5DOVRRamTTS5mnz1IvKDVS5LIyUY8RRyrrCbmxp56rlLnVu2nUQqybsjcN1Livne11Maaaoww0plM2MPNQyAs6h4TSnXV5yD2ThbOv2PCgAGljtEoGoiwezZ/RKIZf+X3eXfTid2jRzQSizMMDd/YoFqC5D1PJ2sUC2Cblb3dg3AvHVowk7JDNJam7DyVXUMVA1qtvAIgRe/luBFbKyqpu4oVEObtgPbJzQGiIHR60kH01rvdxbShZrYba+50uLyrUoUmRgJ+VwHU1atpZHExLzNb7s+sK+dWJhYvSgsgpunkSXw2jQLWaqJpMFFQv5cyL5UpZSRgIyzM14knNLIqgXqPmh/9QraRRY2xNm02Ia7EuBFEdz7feqyaptgfLV1KOsZj0fYRgcXf69RDQ7NYNE7qpdUqJVHoz1L56bbk+AeroHtpUi8goNbLchmwe8Xt6+YVNDRh2h7B2XCakt2mFZdskbBNGEchTU0V9BNhTEu5Ov7Zbg0XbDtjCv4cRVOEvUiGZ6NMajreq3tjgQuPo6k5MBDsnEOYHVdY7VaQWt94hPmpuA94ja95kqLSw5gzrp0sDvrk5BfiiyNZOZVLubPsbDMF0YsrGry1YvMAPgmpZFzffJ5WrmtvQ4Nwm0rxDjnMtDjWtjcbGQJ8Ki2LpQVTWI+7Bg0sHHIAEwj8w9H4Aq+MEMHq+lh+9CSyDQatp8sCra2RSAjoCKwCqmkZ2llqTWP2lCKJJYUYwBG90sm2M3b3EOzWW43OGijw7oAjQG111Z6hK1H6DR7GxYErts+MPsx2C3QHYZxZIfoKVxfGIZXcchJoLkKDjlOaD+TFME1M7460l5rIXsH6zar9O67yUax3pFiOoDJ0Mp1MJ5GKl4bGcEsMC4zpUQm18KUY74w1vAwMLDoB3NRyK+CT8yYKksZd2FhJUYmQaw0KOkxKeRvKkmRAMZBzBgTesKPfTyoRqhmhBoHaGcR3Q/pugaYoTWyrWFMgKbr4K0ajkfo2qaWN+NygO1NBmSVDbN8dW/RWM+6WARWNlkepg4XHLwkIwu318fQHIjNvY6PPW7nSGONTopWpcoESz3+CbyGAXaooIcxAFcEL9V24WQYtzXsANM0a2OhBGLEzvhEEG/FVBoLkmHRbCQ/6V5lYE9CLWTQwth9l6eR3qp4cTHFXGdhyRdW0sJ4SllHBlY30VIxTmlkXM1buu6lqXUOuLbNRM7NQgJ5KRFnX1Q3N2dqlYK+aULzPjWuQkdSO4QC5dSxw+YgZiYAU0ZDx1ldHReptf0IpXvYZoTtTQIysiLYOJPn4myfrQ1MXJ6Ns7IAWgGUHFRKLXlaCWAnIOPgNMfGePATJ08j00kysjC5NoPrR/gunBR1ZGGuD2zWjz380EfT65CaBCiFbDyUAKzE4HcpP5NiPr2P9yrbJ4A566JxefNrrrS4pABGbnyyUnAhP5lY54R90r+0y1NK48osTDY8ZGtI+qGPqxe5YKvwTTC1ODsLXnNesG0a2LZBxRsbcqDi4DXHwHj30KC31aE1zNgndqlal9JHCgIxpQ1qY1KRt6uj/hO3YWBhIa009VgAssjEBhvrEwOQOeuh+1BTWfcWzk19xSSYrYMYIAX/TWws3J7XwfhnGDWlkU5PLMz2NpVRTVqYge1H6HqEqwMLC2BGGlgAMow9MK4S65Uz16VKDtLB+PNAWXagMUDBe5PRbCS9d+8MTO2HgS2XS7zjHe/AI488gsPDQ9xzzz249tpr0/MPPfQQPvGJT4TP9B4PP/ww/uRP/gTL5RJvfOMb8X3f930AwuIgL3/5yzd+12VjYCTkU92j0ZMuNpdGkpifWJjbwMJMueFhvoZk0L5o8KFyUOri+oIBmD2jloIPTM7EJKsqLTRRSiOntseRhXkL7wbAO6jWpel/B4RZNAB+CCBvYg99W4+BfR0H0douV+GgravQzrsn53ooBp9YmGPeqrB/yHfluuC7ql1cvs1tFva5w55izjcG5IyLMzAt7m8DuGzfWL5qk8vsJxmrd451/h0Q1h7Nu5xw7XSOgQEoghhnXTxkZ1cCMprF3kc45+GwGaB2nYW87777cP311+Mtb3kLHnjgAZw7dw533313ev6mm27CTTfdBAD45Cc/iRtuuAHPec5zcP/99+O1r30tXve61+38uy+9iC+8YBSpsDsJ/G49jTQFFqY3sDCePvLuFM5lYr53Ljn1dd0VWdcmIJMpJg8qEp8LDl5kiJybheQAJm9nv6NZBOBycQh6m5IBDcCbYOz1/TJUNVDh9zjAD7FR4DDCdU0wdUYtaFz2cP0IO0zO9RKY+SiG02rftrfwBGDxxLSIIEcrH3ExX94O1ycHMZ5a8p78tJp4WHR36vwa7sdWPbFzh24qtsIT7zWnp464erpcTFfUkrwgg0CMXpsZmSOY7RPAvHXwfjPq79oP7OGHH8brX/96AAGszp07V3zdf/7nf+KP//iP8YUvfAEA8PWvfx3f/OY38aUvfQnPfOYz8e53vxunTp3a+F2XvRbSGJPpYGSnoBbJG1lYTzWR6yws1EgKLczFhQq4mF+xVjtVA6Wwdgbd1FpnTv86iSbBm9ZJwJILQ8ylkHwQm6YBCMR8tE3E/vlZWl3VgY2OA3xVx7RoQF0v4Yc+Z139GMywwwjbD8n0KZkZrS8ZQMtlgEb3aQHd1MI6vobGBF/WDcjP9HO6MmdYtMQbUFi3MqaKvKeY0jq1rU4rJjHg0nUdAM3o1DBSrj9wuUJ6w0gT5W159vNF5U4pWRSevv/++/HpT386e+y6667D6dOnAQCHh4d47LHHih/3qU99CnfeeSeaJhisz549i9tuuw3Pf/7z8bGPfQy/93u/h7vuumvjT7pstZCGARSMmgq7Ka3UkyYWqHyZhbkoPEsWJttOg1byHodczPd2SiVdSAdKKSQ3qc6lj/x69r+7vCsFDT6gnEJKQ2sJxKgchf+milYtR7SSRragYssdX9WBgdUN/Op4ArKxTz4nPQ4wkZVJMLMJwIbE0mh22Al25hiABTDjIDaBGo0HArYJ1Hx6jo+hUnDgCvfzlcMBZAvuKmqWGJsj8j5iOrbj1k1sCFlXyZKTwItaNSkDKL33mblSBQcvMSIQo/Gxr7CDhd2igVm//n233XYbbrvttuyxN7/5zTg6OgIAHB0d4cyZM2vvc87hz//8z/H2t789PXbzzTen19588814//vfv/V3Xz4NjNVEcj9YYmVsNnJ6rqyFUW+wjTOS0RuGqs7F/KoBqthu2o3BlS8W/NgEXqU0kgNgqb5NpgPAxMKkiE/dDbaJ+fx3UHsW03Tp85Wi1YtiB1uloeomzKYR+4qmVz/2QSsc+sTKtLNrYOadS2Dm4n3Jzly85vcD4wp93wjU0uwfAzZ6jMYFjRtgs4DMa20nIGMMTOsEXKk7bWqQmAOXpnKxuorL1mmWQrJUko9t7y8KTOYaAXDAAvJZSjrRbdNcTxo7aWDw0q5XjBtuuAEPPvggzp49i4ceegg33njj2mv+8R//Ec961rPQddOY/YVf+AW85z3vwdmzZ/GVr3wFz3ve87Z+194BLIy3qaSE6xXckU91kXQbbKqb0khjWJudDTOSRXc+WQmiiJ/EfO4FiwxM17kAy8FrU1cKKchSbGJlPAWQBtbSTCQBGO8pRSkrF3VDVDBVk9oGhM6tjDHYAUpXE5BF8FIRqPw4QNHEBz3vbMbM1lhXH8CWdLMSgHn2GNW5lkANQAZsaWygrL8464vLxhFgATmQ6dpEhqYTeFE7at0EEKO23KR/KUodCbx4ix2lAda3dt8rZfOTIF0TA9v/qkQefguAefidEOOOO+7AXXfdhTvuuAN1XePee+8FAHz4wx/GrbfeirNnz+Kb3/wmvvd7vzd73/ve9z68//3vR13XeNrTnnZlMDCyUlDwdBLZ4x4Be3IxHyYvLyqxMGdEpwrnUl8w1E1sQ0099EfqHRJSSW/XwGqu7TRnPQAyEX8XDYyfpaUYy4Gr1IGTz0KRZaM4C1pVMPUi1H8OK6jY/NCnetARcCG9VnYMYBVBy0c7hif3OfVXG3vA2gRoJrI0OAvXD5GJTQyNQI4Ay8bXEOARiPF2PxzcACSWFm67NEYo5gRlWlqOgI3WBJjSSp3SQ9NMwr1cEbw+DG2m02IgbVyazdRQVRvXJjCwts9OQrKbKr+sHRs7ivAl6WLf4e02/gV4uJ0QY7FY4KMf/eja43xls5e97GV42ctelj3/vOc9D5/97Gd3+bkpLo8G5jyAsg6m40K3lEaqKPJzMT/MpG3xhZHNgg5ATQ59O6WSYw9vu5yF2TH5waQrfxOISSsFRanDgAy5hHypJpIDGBfv6QAhEKPlv7KoKpiqnRY2GVehENkGE2bojxZrQuNtFcHdWzsBGQc0Ymb8egipph8HVPxxa8vsy7rE1sgS4wSIhfEhwSxeu/z+pshWKifQ4gAWGZeuw2Ioxb75i8PQYnpxCN0dAnUXGkpWLVC32X7ZVrsq2fZclMZWyQjLe4rtI7wD3BZGt2WS8kmJy9sTn86gJtfBEmABodU0CfsnZGHauugm19PiH0LMB61cFMGO2k+XQItfA1hjYRy4dvGBcS2j5LDn3T0liFEhL2dfBF6c+fEypaqqYg+rKpgvXRN0v7hghbfjNCNL62d6mwre4d06aBEri+m55367WMJFGhoHQQI2yc74snmOARTvoEFAB+TMaxuQEYhNrGxaAFg3URJoqsTG1lYv6g7DykXdAVR7EJZeYwvj2rhgB/flcQbGJ2MkwBH4zKWBkmnJsbeL9/Ak4a3H1knILSL/kxF7BbBNa0Ly4HYKh2BqlWJ+en4LC+M1kqSFEQtTsTsrHWSk76iGDImTOVGpKmNffCaS17FJK4VMI4uMiP63m7pt0lmUHucHQomBEYhVVZW5/jnA8oOBwDL8/gqqraYUOgJYmMRwsSqBAZqfQF7F+xzU4MP29SWQGiJry1ZOjylofI1J6bxNn8EBjqeYwFSVAWDtmm/XUtC+Sb4uuq11SiGViWspsJW9UdXQh2fiakWHwabCLqV9Iyda5krEaF9J8KJ9tomBSZ12X+G837ro0PYk8/LHk7IuJJD3BwtrFE6lRhkj28LCvA0ai2IsLD1Hwv0QUkg/hPX+kLnyB8AO0E2zBlpczC+FPCty8OJsiwcfoNTjq2RkLbEwPgNJ31U6E/Pe/NZaUWHQBBZBK5kzZ7ni9yOowROwTffhHFTnwmpP6fXrwLbG2AjQXOE2Azj+/jA+bLKIpMeIwTAg26aLTQAWTc5iRSdQV9uqDusMJPAKqWNYCLcBTJ3Yl2Rekn3JExPtHzkmNo0tOc6op9g+9bAhlnxtfI3+LgOwbEYy6mAakz/HRWaFONvoEBdaxclYmDfBn8QX/khLsI1DKHQeQyrpaem1qskOYKWQHejyeq4khMc25sWDL9hBg3tTCiktFdxKwT+PZqn42dw5l/4Lsb+k7ZkKqlIAugyIOIjNAlt6PWNsnYMSYJelohvYVwZqYYDkIAeELiPA1HmEtmd6z8xRSCBGfi5toOp6MqjSKuftYlpjoD2IjKuDqhdR+1qk/STNxXLypSTk81Sy/DPnU8fpJGSKK3w/keBL5G16zZUWT9LK3DF1ZGVEGnorC3PQ5RpJ6+aXYKPC5njAqHhA8AVyVQKx9RSSn+nmvGA8jZsLORXO3dSyxTQHMzkTSWffTezLew9jTAKuEjCX/uf0eQbKVOx/+SK4qRnAWwM3vo19/rqMvdkJqNaALmy8nIEVQMu7MjBQTAAWbRKcjVV1mGnUUTdsFkC9CAboegG0hxidzxaWpVbPfd8nEOP3aSEODnD85DXHvgBkPcWoOWLbtul6zkd2MeH8fNUDf82VFpetH1gpCKC4mJ8Efi20si2+sNISbGSp8Ky9TJZGxuJnusgDexfwkiH7PG3cRmLWStooSmd03txOMkHvfWaOJQByApzXAQsZCM89F+7r4I1STRngAFBdZgZUu4BcfO8a0LHH+XeEMSNAj0eJjXEmRgDGFkJOi6VUbWDpTWReTYdxtNnK2HyBWfmYBDm6bBLwue+L9i0vCucg1sReZPuKqwxsS1iPLI0EkJlauZivoeGNA6BPxML4EmxuGGGNhm5EGslmzRSZPoWQX2Irc+mj1My2ARcHF25IlDoYn5WUTIx+A9fcOHjxli5keE1itphZ5UDFAav03Nzj68/lIDd9ds7kEsiFDbMOdOxxn4HXBGyKHiPQo+BrgDm35p6HYqVBmgCsnmZtTR1YV9XAK42hz9kWARcHr9VqlRac5c/L0rC0xif+f3tXFOLE1YW/mWw2yRpwf6k+WhZBKPggvpc+VF0pWC0sdOsSH+x79UGRFSqWlXUXH4W1pfTJ+qOgpfhWaBEKLfgg/wqCbaEP9UGRVdQ1JtlsMvM/JGdy5uTeO5N1diep94NhkpnZmZvJzpfvnPvdczvKXCbwJXENDQ0hl8sFE4gkT2DRCixqfxrYEALTqbHAB4aWCguGi2QoP9bKhblEZG5rm65SBfVIep4Hp9khNR5GUk7FoSR2s9MrJx35nLj4a6Db/xUHqnGRqsHafDgRJzEKI4nEqB10PiIvqnLBu9ylHUSSFn8tiUzuUx1nJjSdohuC47YKXjtDvI1+WHkR2QFhVUf7+b7WzejsM4HICwjPdp7JtsY5ukPte18Pvhed0qrX6yHykkqah4+SxCRkzkuS2PDwMEZGRhKdmduLocCifGJpYEOc+HFqM6lUGIKcGAJfWEuBaeqFtQnLq7fCK99rV6nIem3FlW2RV9u/RHkwCmNU5lVJZECYvHrJgxE4kUkVpiIulQKjf16uwPii87Txv1ERFEG3T55DtTYpNTqHSt3plF2Ql3McOG623ekAcc+7w9j2zdZ/EQF5dcrk+H7nx6BRr3X1KtLMQERYRFp8XavVgmN4/osn/6kHWnfPeY8jnxyEJsylCg5Joe4hshcyObpMDus6rZpUXqow0kNvKsxxATn5h8qd73kdS0UmSOK3Bnv7zXACOigzDT+WApPkxcH/jidoeY+gDBekoZX7h2jmZ10Yyc+hsn+o1BdvqwlRPa06QjS9j5dnMys51TZ6302wQ12f03GcgDx83wd8wPeb8P1Gl7VF9jKqcl8UOnJCo5mzifB4L7LsuJHeL1rL0tSU/6IlSXiIznFF8Fsq2MAcWNykfmd4EVdhZLGIVGGe1zFEKsJIn4eTlCgO2Sn0OTCgo744ecUNJ1UkxnsjeQ9kLpcLJfWp25yS9zJ8oF5HmcCXDzS1902hU2xRBKciN11+rhdSM5Gk/MycwAhkP+EDprkhldSTDBdrtRoqlYqSvIjgpJrW2ShM5EWqK5fLoVAooFAoJNoLaXNgBsgw0tOoMH6Q9IXxMZKgPJihamtgqfBEbyTLg3WUGE/kqx8KWqt+KQmm8ij8NScx7gWT5XXkry8nMEma1OXOQ0jevrjh7VorHPRKaFHkJl+rSE61zRSyqtoqx6VyhaTKS0oFxpVXrVYLkRcnsZWVleC8lANTjYvkP5Cq/BcthUKh9y/JgHg5MCBWPZ0NxIb6wGhuQF1OjIytRGhOoL5aYyQ7hAZt1VaXWSoojOxMt+a1Hd/NToUK3uulGFKkU2F8LSf4iEKUApOLVGEqBUXnpEG+uoeXgz+88kGK4xZXQRVSy31xQsw3ITGTopNt4p+XlBcQtrjIcao8fKxUKiEFVq1WUa1WQ72QUoHpyIvaKJP3pLxIhRUKBYyMjCRaTscqMAFdHowjCBMRzoVJd76sVGGs2srCRnrdmm1mqFWNwsuHrRReJ3zkPZHyIZCqx6TE4kAOKyEik8qL1BcN5lb1PPGwsdFoBGMsVW2TDw032Mr9qm2q9zrIeyKT1FHrqNBSl+MzkRm9VoEXJuTKmPxbnMAoXCTyIiIjBUZrlZ+Pd9bwe6kiL6nARkZGkMvlkM/nU3DiA2+tAuNhJCXzXVd/M6Q7P64K4zPLqMLIwErRZFYK0ROpSxgD3YZW2saPUdY70/zaAuHaYDyM5OrLdd1grcq5cfOjfChUbdARF3+oTKSm+0wm6AgtisTivI9LaoC6F5Z/Hp7E5z2GKruEibx4L6SKvPh1ZSqCFup9lAosn88nOzO3deLHA1dkulyYSoWZzK1chYWS+Yow0meJfJ8NaPY98hr5yiSxirAAc8goyURCJoxlldZGoxFSX7RWhZEUPqquScdGkVUUia0HkelUmem1jsBMi6kjgUMqME46Ou8XJysKGbltQjU+Ut5T3k5a+FCibDYbSuZTWJkUVn0fqxEEFbU/Daz7YG4eRkoVFuUP4yGmaYhRSIVRDoyFkcG5mk2Eq7O2lRgZIMWYSPnAyDwYJ69eQ8jQfVIoMDnMiJfSUV2PiEtHtHHIS7dNdTxvu7xGXFD7VPexV9Iy7TMdz9fy83Hy4hYWvlDOSzryVb2PqnuqArfCSPIiL9jw8DCy2WxP99uE+En8/kIqg7l7UWGmIUbKXJjXCR9DYSTVlwpKt7TnTvSYs5sWmE2YptwOP071D6rKJ9FwH12J6Ww2G7ym68v8h+oBVV3XRFwqIuNt4e/lOYPvVuMu1yGKvOgY/rmiJh3uhcB0YSSArpBP1QtJi7ROSNXFZxIyEb2cJIbsFNzIypek0ESMJH5iV0sOkQTmeR7OnTuHP//8E8PDwzh//jzefffd2BfoRYUFEzsIW4XO3EozGLVmL/KRAcLJfK+T/wqqe5KhlVeoEBUSHCesuoDuf3YVWUT1QMpcB22TiXz6Zyfi4rkvXRkV00NJ14kiLjkWsxcyo/PydVzowkgAXX47SWZymyw+2QuJyXZzwuFkxMc4qmwT0ryqU2Cqz8zzqHwSF5nQT1qBxU/i9xciCeznn39GvV7H9evXsbi4iLm5OVy+fFl7vKnXkZMYwF6TCsuIh1vYKqS5VfrCPEUy328/ZJ08mEzksyEnVBXBzShzX4CeIHo1FcoHn1fo5K58SSSmnqe46isOYUXt4+fj15CDlHWfXdVOGVKqSEaqL1V1XElmOsVmumcAukiHyIsTlI7A+NAjSWTy80rwkRQUPvIqFOsTQv5Lk/h3797F+++/DwDYvXs37t+/3/NFdPkuFdnpVFiwT+TC+DySVGoHQBA+trZ3EvwZIJTIbx3cCR2B7vF99Fp6mkwhm4QkLPmrL/NgKk8YEZrrusGa58R4DkynjFTkRA+qHMaUhBqTr3VYqwrrhbjkdv496r4zeZ84QcmEvSp01IXm/PviIPKSbVfVBkvWiT+YCizyySuXyygWi8H7ONOH/dug8g31Gia9DYhD5P2CXr+/pL7vfr1HpMBMy0AqsGKxGEwTDrS+SDJKAp2QYdkF0C76r1JbtI2sXxm2dtvb3fasJ067DLULIOMDju/A8Xw4cJBpAg4cuI4Px3eQcXxk4ML1PWR8D67nIeMDbqOJjOcj6wPuqoehegOZRhPZhg8n14BT8+BWGnCrHtyROpCrAIUKkCvDy2S7hoe8fv0alUoFr169wvLyMiqVCsrlcmBk5L/MpEZ4WBhlnnQcJ1BV9AMRTEMnfEk8F8J/nYFOHkXlstflvlRKQaceVOeS1+Br+VoHkwJThXxRiy4PxrfLc0uo7glXWarihXy8I/2ddMybRgJwZU02DQolSZ2RGnz58iWA3jtOVHjlAvWImvcrBt9mWogksD179uD27dv46KOPsLi4iJ07d4b2Ly0tAQD++x++1XQjeqTxJvqz+6MHuK6r9eyQQRIAqtXqRjbLYoPBf/gl6MepVqv1fN6lpaWeOtY4isUiNm/ejP9tfxnr+M2bN4cisrTh+BEDqjyv1Qv5119/wfd9zM7OYseOHcH+Wq2G+/fvY+vWrYnG5BYWucyfxQAAAwRJREFUFmY0m00sLS1h165dyOfzaz7PixcvUC6XYx1bLBYxOjq65msljUgCs7CwsOhX9GdG0cLCwiIG1kxgnufh7Nmz+PTTT1EqlfDPP/8k2a51xb1791AqldJuRiysrq7i1KlTOHLkCCYmJvDLL7+k3SQjms0mpqenMTk5iampKTx8+DDtJsXGs2fP8MEHH+Dvv/9OuymxcPjwYZRKJZRKJUxPT6fdnFSw5qFEvRpc+wXffvstbt26lXhBuPXCrVu3MDo6iosXL+L58+f45JNP8OGHH6bdLC1u374NALh27Rru3LmDCxcuDMT/xerqKs6ePftGuaSNxMrKCgDgypUrKbckXaxZgSVhcE0D27dvx6VLl9JuRmwcOHAAx48fD973e0fJ3r17MTMzAwB49OgR3nnnnZRbFA/z8/OYnJzEtm3b0m5KLPzxxx+oVqs4duwYjh49isXFxbSblArWTGCDanAdHx83dmf3GzZt2oRisYhyuYwvvvgCJ06cSLtJkRgaGsLp06cxMzOD8fHxtJsTiR9++AFbtmwJfpAHAfl8Hp9//jm+++47fPXVVzh58uRAPH9JY80EFmVwtUgOjx8/xtGjR3Ho0CEcPHgw7ebEwvz8PH766Sd8+eWXqFQqaTfHiJs3b+L3339HqVTCgwcPcPr06cDf2K8YGxvDxx9/DMdxMDY2htHR0b5v83pgzQS2Z88e/PrrrwCgNLhaJIOnT5/i2LFjOHXqFCYmJtJuTiR+/PFHfPPNNwCAQqEQjOvrZ1y9ehXff/89rly5gvfeew/z8/PYunVr2s0y4saNG5ibmwMAPHnyBOVyue/bvB5Ys2Tat28ffvvtN0xOTgYGV4vk8fXXX2N5eRkLCwtYWFgA0OqI6Ndk8/79+zE9PY2pqSk0Gg2cOXMm8TkMLYCJiQlMT0/js88+g+M4mJ2dfSsjIGtktbCwGFhYI6uFhcXAwhKYhYXFwMISmIWFxcDCEpiFhcXAwhKYhYXFwMISmIWFxcDCEpiFhcXAwhKYhYXFwOL/BLesmLkzVuQAAAAASUVORK5CYII=\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 색상 단계가 연속적이 아니라 불연속적으로 보이는 것을 해결하기.\n",
"\n",
"# imshow 메서드는 x와 y그리드를 받지 않으므로 플롯에 이미지의 extent[xmin, xmax, ymin, ymax]\n",
"# imshow 메서드는 입력 데이터를 매칭하기 위해 자동으로 축의 가로세로 비율을 조정한다. \n",
"# axis(aspect=)를 이용해 x와 y의 단위를 일치시킬 수 있다.\n",
"plt.imshow(Z, extent=[0, 5, 0, 5], origin='lower', cmap='RdGy')\n",
"plt.colorbar()\n",
"plt.axis(aspect='image')"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 44,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"\"\"\"등고선 플롯과 이미지 플롯을 결합하는 경우\"\"\"\n",
"\n",
"contours = plt.contour(X, Y, Z, 3, colors='black')\n",
"plt.clabel(contours, inline=True, fontsize=8)\n",
"\n",
"plt.imshow(Z, extent=[0, 5, 0, 5], origin='lower', cmap='RdGy', alpha=0.5)\n",
"plt.colorbar()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Plot config 변경하기"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib as mpl"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [],
"source": [
"# Default settings\n",
"mpl.rcParams.update(mpl.rcParamsDefault)"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [],
"source": [
"# 간단하게 지수분포를 그려보자.\n",
"x = np.arange(0, 1, 0.01)\n",
"y = np.exp(x)"
]
},
{
"cell_type": "code",
"execution_count": 48,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0,0.5,'Y')"
]
},
"execution_count": 48,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x, y)\n",
"\n",
"plt.xlabel('X')\n",
"plt.ylabel('Y')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> Size 조절 : `plt.rcParams`사용"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {},
"outputs": [],
"source": [
"# plt의 rcParams를 사용한다.\n",
"plt.rcParams[\"figure.figsize\"] = (20,3)"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0,0.5,'Y')"
]
},
"execution_count": 50,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.plot(x, y)\n",
"\n",
"plt.xlabel('X')\n",
"plt.ylabel('Y')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"> Font 조절 (https://matplotlib.org/users/text_props.html?highlight=configuring%20font%20family)\n",
" - `matplotlib.rc` 사용"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0,0.5,'Y')"
]
},
"execution_count": 51,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mpl.rcParams.update(mpl.rcParamsDefault)\n",
"\n",
"# matplotlib.rc를 이용하여, dictinary를 주입\n",
"font = {'family' : 'fantasy',\n",
" 'weight' : 'bold',\n",
" 'size' : 22}\n",
"\n",
"mpl.rc('font', **font)\n",
"\n",
"plt.plot(x, y)\n",
"plt.xlabel('X')\n",
"plt.ylabel('Y')"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"Text(0,0.5,'Y')"
]
},
"execution_count": 53,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"mpl.rcParams.update(mpl.rcParamsDefault)\n",
"\n",
"MEDIUM_SIZE = 20\n",
"BIGGER_SIZE = 30\n",
"\n",
"mpl.rc('xtick', labelsize=MEDIUM_SIZE)\n",
"mpl.rc('ytick', labelsize=BIGGER_SIZE)\n",
"\n",
"plt.plot(x, y)\n",
"plt.xlabel('X')\n",
"plt.ylabel('Y')"
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python 3",
"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": "3.6.6"
}
},
"nbformat": 4,
"nbformat_minor": 1
}