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Created April 14, 2024 17:34
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{
"cells": [
{
"cell_type": "markdown",
"id": "6bad4153",
"metadata": {},
"source": [
"# ISSUES 9 MUDZAFAR AZZAM 21181177"
]
},
{
"cell_type": "markdown",
"id": "d2fa096a",
"metadata": {},
"source": [
"## Bilangan acak dan metode Monte Carlo : Pengenalan dan pemanfaatan sederhananya dalam fisika"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "aa8cce6c",
"metadata": {},
"outputs": [],
"source": [
"#BILANGAN ACAK\n",
"#Bilangan acak adalah sebuah bilangan yang dipilih seakan-akan secara kebetulan dari suatu distribusi tertentu sehingga seleksi suatu himpunan besar bilangan-bilangan ini menghasilkan distribusi yang mendasarinya. Bilangan-bilangan tersebut juga perlu saling bebas, sehingga tidak terdapat korelasi di antara bilangan-bilangan berurutan."
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "176da4b5",
"metadata": {},
"outputs": [],
"source": [
"#BILANGAN PSEUDO-ACAK (RANDOM)\n",
"#Merupakan himpunan nilai atau elemen yang acak secara statistik, akan tetapi diturunkan dari sebuah titik awal yang diketahui dan umumnya diulang-ulang lagi dan lagi. Bilangan ini menyediakan nilai-nilai yang diperlukan bagi proses-proses yang membutuhkan keacakan, seperti menghasilkan sinyal uji. Disebut ‘pseudo’ acak karena algoritmanya dapat mengulangi pembangkitan kembali urutan bilangan-bilangan acak, dan sebenarnya tidaklah sepenuhnya acak."
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "592038e3",
"metadata": {},
"outputs": [],
"source": [
"#BILANGAN ACAK SEBENARNYA\n",
"#Untuk kualitas tinggi bilangan acak sebenarnya (true random numbers) dapat dibangkitkan menggunakan efek-efek fisika seperti derau termal dalam sebuah dioda atau dari suatu sumber cahaya."
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "e1b58de6",
"metadata": {},
"outputs": [],
"source": [
"#ALGORITMA\n",
"#Algoritme khusus tersedia untuk membangkitan bilangan pseudo-acak, yang memiliki sifat statistik terbandingkan, tetapi nilainya tidak dapat diprediksi karena bergantung pada sejumlah nilai-nilai awal (seed)."
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "e03e9f6c",
"metadata": {},
"outputs": [],
"source": [
"#LINEAR CONGRUENCE GENERATOR\n",
"#Untuk membangkitkan bilangan bulat dalam rentang 0 sampai m–1 dapat digunakan generator linier kongruen. Kelemahannya adalah bila digunakan untuk sistem keamanan dan penyusup mengetahui nilai a, c, m, X0, nilai Xn tertebak. Permasalahan fisis seringkali melibatkan integral berdimensi tinggi, seperti misalnya pada integral lintasan (path integrals) dan rata-rata termodinamika (thermodynamics averages)."
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "76d9a503",
"metadata": {},
"outputs": [],
"source": [
"#Bilangan acak adalah bilangan yang dipilih seolah-olah secara kebetulan dari suatu distribusi tertentu sehingga pemilihan sejumlah besar bilangan tersebut mereproduksi distribusi yang mendasarinya. Hampir selalu, bilangan-bilangan tersebut juga harus independen, sehingga tidak ada korelasi antar bilangan yang berurutan. Bilangan acak yang dihasilkan komputer terkadang disebut bilangan pseudorandom , sedangkan istilah \"acak\" digunakan untuk keluaran proses fisik yang tidak dapat diprediksi. Tidak mungkin menghasilkan rangkaian angka acak yang panjangnya sewenang-wenang dan membuktikan bahwa itu acak. Anehnya, manusia juga sangat sulit menghasilkan serangkaian angka acak, dan program komputer dapat ditulis yang rata-rata memprediksi beberapa angka yang akan ditulis manusia berdasarkan angka sebelumnya. Ada sejumlah metode umum yang digunakan untuk menghasilkan bilangan pseudorandom.\n",
"#Bilangan pseudo acak merupakan sekumpulan nilai atau elemen yang acak secara statistik, namun berasal dari titik awal yang diketahui dan biasanya diulang terus menerus. Bilangan acak semu memberikan nilai yang diperlukan untuk proses yang memerlukan keacakan, seperti membuat sinyal uji atau untuk menyinkronkan perangkat pengirim dan penerima dalam transmisi spektrum tersebar. Ini disebut acak \"semu\", karena algoritme dapat mengulangi urutannya, dan angka-angkanya tidak sepenuhnya acak.\n",
"#Aplikasi yang mungkin bisa dikembangkan dari sistem sistem tersebut salah satu nya pengaplikasian pada keamanan siber, dimana dapat digunakan untuk menghasilkan kunci kriptografi yang aman dan acak untuk melindungi data sensitif."
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "0e41dd1d",
"metadata": {},
"outputs": [],
"source": [
"#MONTE CARLO INTEGRATION\n",
"#Metode Monte Carlo adalah pendekatan statistik yang digunakan untuk memahami sistem fisik atau matematika yang kompleks dengan menggunakan angka-angka yang dihasilkan secara acak sebagai masukan untuk menghasilkan serangkaian solusi. Dengan menjalankan banyak uji coba, kemungkinan solusi tertentu dapat ditentukan dengan membagi berapa kali solusi tersebut dihasilkan dengan jumlah total uji coba. Metode ini banyak diterapkan di berbagai bidang seperti matematika, fisika, biologi, teknik, dan keuangan, terutama dalam situasi di mana pencarian solusi analitik akan memakan waktu terlalu lama.\n",
"#Average rectangular area adalah metode yang digunakan untuk memperkirakan hasil integral dengan menjumlahkan luas persegi panjang dan kemudian meratakannya. Semakin banyak jumlah panjang yang ditambahkan, rata-ratanya semakin mendekati hasil integral sebenarnya. Teknik ini umumnya digunakan dalam integrasi numerik, khususnya dalam menggambarkan luas area di bawah kurva ketika solusi analitis tidak memungkinkan.\n",
"#Basic Monte Carlo estimator melibatkan penggunaan rumus dengan N sebagai jumlah sampel yang digunakan dan <F_N> sebagai perkiraan F menggunakan N sampel. Ini menggunakan angka acak dalam interval dan melibatkan penghitungan perkiraan fungsi atau nilai berdasarkan sampel acak ini. Metode ini merupakan teknik dasar dalam simulasi Monte Carlo untuk mengambil nilai atau menyelesaikan masalah melalui pengambilan sampel statistik.\n",
"#Keuntungan : Kesederhanaan: Metode Monte Carlo beradaptasi dengan baik pada integral multidimensi.Tidak memihak dan Konsisten: Memberikan hasil yang tidak memihak dan konsisten.Sifat Paralel: Setiap prosesor dapat bekerja menyelesaikan integrasi secara paralel dengan menangani uji coba acak.\n",
"#Kekurangan: Tingkat Konvergensi yang Lambat: Metode Monte Carlo memiliki tingkat konvergensi yang lambat. Evaluasi Varians: Sulit untuk memancarkan varians suatu fungsi dan menentukan kesalahan pendekatan secara akurat.\n",
"#Berikut adalah penjelasan singkat tentang fungsi-fungsi yang umum digunakan dalam simulasi Monte Carlo:\n",
"#Bilangan Acak (Random Numbers): Bilangan acak merupakan elemen penting dalam simulasi Monte Carlo. Bilangan ini digunakan untuk mensimulasikan skenario acak dalam model, memungkinkan untuk memperhitungkan berbagai kemungkinan dan menghasilkan perkiraan yang lebih akurat.\n",
"#Fungsi Linier (Linear Function): Fungsi linier memiliki bentuk y = mx + b, di mana m dan b adalah konstanta. Fungsi ini sering digunakan dalam simulasi Monte Carlo untuk memodelkan hubungan proporsional antara dua variabel.\n",
"#Fungsi Kuadrat (Quadratic Function): Fungsi kuadrat memiliki bentuk y = ax^2 + bx + c, di mana a, b, dan c adalah konstanta. Fungsi ini sering digunakan dalam simulasi Monte Carlo untuk memodelkan hubungan non-linier antara dua variabel.\n",
"#Fungsi Kubik (Cubic Function): Fungsi kubik memiliki bentuk y = ax^3 + bx^2 + cx + d, di mana a, b, c, dan d adalah konstanta. Fungsi ini digunakan dalam simulasi Monte Carlo untuk memodelkan hubungan non-linier yang lebih kompleks antara dua variabel.\n",
"#Fungsi Sinus Kuadrat (Sine Squared Function): Fungsi sinus kuadrat memiliki bentuk y = sin^2(x). Fungsi ini sering digunakan dalam simulasi Monte Carlo untuk memodelkan fenomena yang memiliki pola periodik, seperti gelombang atau getaran.\n",
"#Seperempat Lingkaran (Quarter Circle): Seperempat lingkaran adalah area yang dibatasi oleh jari-jari lingkaran dan seperempat keliling lingkaran. Area ini sering digunakan dalam simulasi Monte Carlo sebagai metode integrasi numerik. Dengan mensimulasikan titik-titik acak di dalam seperempat lingkaran, dimungkinkan untuk memperkirakan luas area yang kompleks."
]
},
{
"cell_type": "code",
"execution_count": 9,
"id": "876e3036",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"5 7 2 6 2 8 6 2 2 8 3 6 6 4 4 8 3 2 2 5 6 2 4 4 2 8 5 5 3 4 5 8 3 2 8 6 7 7 2 6 8 5 2 5 7 2 3 5 6 3 4 3 6 4 2 2 4 4 2 3 8 5 2 2 6 3 6 3 5 2 3 7 3 5 2 3 3 5 8 4 7 8 2 7 5 3 3 5 3 7 4 5 4 7 2 7 6 5 6 2 \n",
"\n",
"\n",
"100\n"
]
}
],
"source": [
"import random as rnd\n",
"import matplotlib.pyplot as plt\n",
"\n",
"N = 100\n",
"a = 2\n",
"b = 8\n",
"x = []\n",
"for i in range(N):\n",
" j = rnd.randint(a, b)\n",
" x.append(j)\n",
" print(j, end=' ')\n",
"print('\\n\\n')\n",
"\n",
"print(len(x))"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "f18214ee",
"metadata": {},
"outputs": [
{
"data": {
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",
"text/plain": [
"<Figure size 400x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"bins = (b - a) + 1\n",
"\n",
"plt.figure(figsize=(4, 3))\n",
"plt.hist(x, range=[a, b + 1], bins=bins)\n",
"plt.xlabel('x')\n",
"plt.ylabel('N')\n",
"plt.xticks(range(a, b + 2))\n",
"plt.yticks(range(0, 26, 2))\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "5de32829",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def f(x):\n",
" y = 3*(x - 2) + 4\n",
" return y\n",
"\n",
"y = [f(i) for i in x]\n",
"\n",
"plt.figure(figsize=(4, 3))\n",
"plt.plot(x,y)\n",
"plt.xticks(range(a, b + 2))\n",
"plt.yticks(range(0, 26, 4))\n",
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "0a3c5894",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rx = rnd.randint(a, b)\n",
"ry = f(rx)\n",
"xr = [a, b]\n",
"yr = [ry, ry]\n",
"c = '#cfc'\n",
"\n",
"plt.figure(figsize=(4, 3))\n",
"plt.plot(x,y)\n",
"plt.plot(rx, ry, 'o')\n",
"plt.plot(xr, yr, '-')\n",
"plt.fill_between(xr, yr, y2=0, color=c)\n",
"plt.xticks(range(a, b + 2))\n",
"plt.yticks(range(0, 26, 4))\n",
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 14,
"id": "5c763434",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 500x500 with 6 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#Some rectangular areas\n",
"c = '#cfc'\n",
"\n",
"plt.figure(figsize=(5, 5))\n",
"for i in range(6):\n",
" rx = rnd.randint(a, b)\n",
" ry = f(rx)\n",
" xr = [a, b]\n",
" yr = [ry, ry]\n",
" \n",
" plt.subplot(2, 3, i+1)\n",
" plt.plot(x,y)\n",
" plt.plot(rx, ry, 'o')\n",
" plt.plot(xr, yr, '-')\n",
" plt.fill_between(xr, yr, y2=0, color=c)\n",
" plt.xticks(range(a, b + 2))\n",
" plt.yticks(range(0, 26, 4))\n",
" plt.xlabel('x')\n",
" plt.ylabel('y')\n",
" plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"id": "c5ba079f",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"N2 = 1000\n",
"n = []\n",
"A = []\n",
"AA = 0\n",
"for i in range(1, N2 + 1):\n",
" xi = rnd.randint(a, b)\n",
" fi = f(xi)\n",
" Ai = (b - a) * fi\n",
" \n",
" n.append(i)\n",
" if i == 1:\n",
" AA = Ai\n",
" else:\n",
" AA = (A[i-2] * (i-1) + Ai) / i\n",
" A.append(AA)\n",
"plt.plot([0, N2], [78, 78], 'r-')\n",
"plt.plot(n, A, '-')\n",
"plt.xlabel('n')\n",
"plt.ylabel('A')\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 17,
"id": "0c89bd0a",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"def f(x):\n",
" y = 3*x**2 + 2*x + 1\n",
" return y\n",
"\n",
"xx = [*range(a, b + 1)]\n",
"y = [f(i) for i in xx]\n",
"\n",
"plt.figure(figsize=(4, 3))\n",
"plt.plot(xx, y, 'o-')\n",
"plt.xticks(range(a, b + 2))\n",
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "d5451c52",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#A rectangular area\n",
"rx = rnd.randint(a, b)\n",
"ry = f(rx)\n",
"xr = [a, b]\n",
"yr = [ry, ry]\n",
"c = '#cfc'\n",
"\n",
"plt.figure(figsize=(4, 3))\n",
"plt.plot(xx,y)\n",
"plt.plot(rx, ry, 'o')\n",
"plt.plot(xr, yr, '-')\n",
"plt.fill_between(xr, yr, y2=0, color=c)\n",
"plt.xticks(range(a, b + 2))\n",
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"plt.grid()\n",
"plt.show()\n"
]
},
{
"cell_type": "code",
"execution_count": 19,
"id": "6a92db4e",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 500x500 with 6 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"c = '#cfc'\n",
"\n",
"plt.figure(figsize=(5, 5))\n",
"for i in range(6):\n",
" rx = rnd.randint(a, b)\n",
" ry = f(rx)\n",
" xr = [a, b]\n",
" yr = [ry, ry]\n",
" \n",
" plt.subplot(2, 3, i+1)\n",
" plt.plot(xx,y)\n",
" plt.plot(rx, ry, 'o')\n",
" plt.plot(xr, yr, '-')\n",
" plt.fill_between(xr, yr, y2=0, color=c)\n",
" plt.xticks(range(a, b + 2))\n",
" plt.xlabel('x')\n",
" plt.ylabel('y')\n",
" plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 20,
"id": "2c9787c6",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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HMWvckyCTsOt0Pp7fcOxmQfymoLQKz284hl2n8yVKRqZGCFF/qGl2mB8UCg5YdyaWBElObxBYvj0VTR1Yqlu2fHsqDz0RACAl+xrO5pfBytICDw7vJXUcs8eSIMklZpY02oO4lQCQX1qFxMySrgtFJqtuL2LqYA2cba0kTmP+WBIkucJy4wXRlvXIfJVW6rDjZB4ADlh3FZYESaqwrAq7The0aN3UvDLo9IZOTkSm7D/Hc1ClM6C/pwOG+/aQOk63wLObSBIFpVX4eP8FbEzMQnVNy974PzmQgR9O5WN+RAAeHO4NK0v+j9OdNByw9uWAdRfhXxl1qbxrN/Dn70/jnnf2Ye2hi6iuMWCEXw+8MCEACgC3/9nXLXtweC+42Vsh5+oNLPnPKUT8PR5fJ1yCtkbf9d8ESSLp4lWkF1bARqXE9GEcsO4q3JOgLpF77QZW70vHN8k5qL55yCi0twsWTgzE6L6uUCgUGOjleMt1ErU8b7lO4ka1HhsTs/Dx/gvIvXYDb3x3Gh/tTcfz4/tiRogPrFVKqb496gJfJ1wCAPxuiBccrU37/g3mhCVBnSq7pBKr49Px7dEc6PS1p7CO6uOChZH9EN634S1lJwVrEBXkicPphYj9OQHRY8MQHuAO5c2J22yslHjqbn88GuaLzYlZWLP/AvJKq/C/35/BR/su4LlxfTAz1JdlYYZKrlfjx1O1Y1ecErxrsSSoU2QVV+LDfWn4z7Fc1Ny8vmFMgCtenBCIsD5N328cAJQWCoT5u6D4rECYv0t9QdzKWqXE42P8MTPUF98kZ2N1/AXkl1Zh2fZUrI6/gN+P64tHw1gW5uTbo9mo1hswqJcTBns7Sx2nW2FJUIfKLLqOj/al47vjufUXv40NdMPCyECE9O7Y6ROsVUo8Ft4bD4/0wTfJOVgTX3sY6q0dqVgTX7tnMTvMF7ZW/DWXM4NBYFNiNoDaAWvqWvzroQ5x4UoFPtqbjm0puai7MHpcv554MTIQI/w691RFtaUSc0b54eEQH2w9loOP9qUj5+oN/OWHs1gTfwHP3tMHc0b5wU7NX3c5OpxRjMyi67BXW+J3Q7ykjtPt8K+G2iW9sBz/2puO7Sfy6sthQn93vBgZiKE+zl2axcrSArNCffHQCG98dywXH+5LR1ZJJVb9eA6fHMjA02P98T/hvWHPspCVuhsLTR/mxaKXALc4tcn5y+X4YE8afjiVD3GzHCYO8MDCyEAM8naSNJtKaYGHR/rg/uG98H1KHj7cm4aLxZV4Z9ev+PRABp6+2x9zR/eGA8+QMXmF5VXYfaZ2wHp2KG9DLAWWBLXK2fwy/GtvGnae+u0q6XsHeuCFCYEI7iVtOdxOpbTAQyO8MX2oF7afzMO/9qQjo+g6/h57Hp8eyMBTd/fB42N6w8mGZWGqvknOQY1BYJivM4K8HKWO0y2xJKhFzuSV4oM9adh95nL9ssmDPLEgItDk/3gtlRa4f5g3fjekF3aczMMHe9Jw4cp1/OOn8/j8YAaeGOOPp8b4w8mWZWFK9AaBTYm1h5oeDeNehFRYEnRHp3JK8cHeNMSl1paDQgFMGaTBCxMCcZeng8TpWkdpocC0ob0wdbAXdp7Kx7/2puH85Qp8sCcNXx7MxONjeuPJMf7oYceZRU3BwfQi5Fy9AUdrS0wdzJtOSYUlQU06kX0NH+xJw55zhQBqyyFmsBdemBCAQA95lcPtlBYKxAzxwpRBGuw6U4AP9qThXEHtAPwXBzMxd3RvPD22D1xYFpLanJQDAHhwhDeveZEQS4IaOJ51Ff/ck4b4X68AACwUwLShvTA/IgAB7vYSp+tYFhYKTB6kwaSBnohNvYwP9qQhNb8Mq+MvYO2hi3gs3A/Pju0DV3u11FG7nWtaYO/N30FOCS4tlkQ3oTcIJGSW4GiRAq6ZJQ2muwCAo5dK8P5Pafg5rQhA7X/b04f2wvyIvujT07zK4XYWFgpMCvbEvQM9EJd6GR/sTcPp3DJ8sj8DXx26hDmjfPHsPX3R06FhWTS3Tan16rbp1osWMAhgZO8eCHCX956r3JllSaxevRp/+9vfkJ+fj4EDB+L999/H2LFjpY4lmV2n82+ZOE+Jr9KSobk5cZ6LnRr/3HMev6QXA6gthweH98K88QHo7WYnbfAuplAoED3QE1FBHth7rhD/3JOGkzml+OznTKw/cgmzQ/3w3Lg+cHe0vuM2nRTM4+dt0XCb1k5QnXa5ArtO53ObSsjsSmLLli1YtGgRVq9ejTFjxuCTTz7Bfffdh9TUVPj6dr/d1l2n8/H8hmON7h+dX1qF5zYcq39saaHAjBBvzBsfAB8X264NaWIUCgUiB3hgQn93xJ+/gn/+lIaU7Gv44pdMfJ1wCaP7umLfzUMhtyoorcLzG45hzZzhfFNrJWO/p6U3dNymEmv1/SQef/xxHDhwoDOydIj33nsPTz31FJ5++mkMGDAA77//Pnx8fLBmzRqpo3U5vUFg+fbURn94t5sZ6oP4V8Zj1QODu31B3EqhUCDiLnd8N280vnoyFCP8ekBbY2iyIADUb+fl21Pr562i5t3p95TbVHqt3pMoLy9HdHQ0fHx88MQTT2Du3Lno1cs0bgBSXV2No0eP4vXXX2+wPDo6GocOHWryOVqtFlqttv5xWVkZAECn00Gn0zX7NevWacm6XS0hs6TBvRmMmRrsAQ97lcl8D6a4TcP9nTHqqRB88csl/HX3eaPrCdTupR1OL0SYf8dOaNgeprhN6zT3e8pt2n7tydjqkti6dSuKi4uxYcMGrF27FkuXLsXEiRPx1FNPYdq0aVCppLsgqaioCHq9Hh4eHg2We3h4oKCg6fsor1q1CsuXL2+0PDY2Fra2Lf+vOi4urnVhu8DRIgWA5k8djP05AcVnTe+/NFPcpnncph0u+Qq3aWerrKxs83PbNCbh6uqKhQsXYuHChTh+/Di++OILPPbYY7C3t8ecOXMwb948BAYGtjlUe91+71shhNH74S5ZsgSLFy+uf1xWVgYfHx9ER0fD0bH5K4l1Oh3i4uIQFRUlaUE2xTWzBF+lJTe7XvTYMJP7D03u23TIkCGYbEIzlpriNq3RG7DjVAHizqQB0Da7Pn9P2664uLjNz23XwHV+fj5iY2MRGxsLpVKJyZMn48yZMwgKCsI777yDl156qT0v32pubm5QKpWN9hoKCwsb7V3UUavVUKsbnwevUqla9YNv7fpdITzAHRona6O78grU3h7UVE/dNOVtWlBadcexnle2nsbhzGuYHxEAfxM6S8wUtmmN3oDvjufio33puFhc+x+uQoH6iSJvx9/T9mtPvlYPXOt0OmzduhVTp06Fn58fvvnmG7z00kvIz8/HunXrEBsbi/Xr1+PNN99sc6i2srKywogRIxrt/sXFxWH06NFdnkdqSgsFlsYENfm5uj+1pTFBJvmHZ6pu3aa3b7W6x0EaRxgE8O3RHES+G4/FW1Jw4UpFl+Y0RTq9Af+XlI0J7+7HK9+exMXiSvSwVeHVSXfhvYeHQgHj25S/p9Jp9Z6ERqOBwWDArFmzkJiYiKFDhzZa595774Wzs3MHxGu9xYsX47HHHkNISAjCw8Px6aefIisrC88995wkeaR2d2BPqC0toK0xNFjuyXP622xSsAZr5gy/5Zz+Wrdu05Sb05rsPVeI/xzPxbaUXMQMqZ3WpLtdHFZdY2hwMygAcLWzwjP39MFjt9wMykZlccdtStJodUn84x//wIwZM2BtbW10nR49eiAzM7NdwdrqkUceQXFxMd58803k5+cjODgYO3fuhJ9f95xF8vuUXGhrDPB3s8WbMQMQdzAR0WPDTHbXXS4mBWsQFeSJw+mFiP05odE2HerjjC8eH4mTOdfwwZ50/HT2Mr5PycN/T+RhyiANXowMRD+Zz4HVHG2NvsFtZQHAzd4Kv7+nLx4d1fi2ss1tU5JGq0viscce64wcHWrevHmYN2+e1DEkJ4Sov6vXo2F+GNXHFSXnBML8XfiH1wGUFgqE+bug+KzxbTrY2xmfzw3B6dxS/Gtv7VTrO07mY8fJfEwe5IkXJgRigMa0p1pvrSqdHv+XnI018Rfq9wp6Oqjx3Li+mB3qCxsr42cytWSbUtcyuyuu6TcnckpxJq8MVpa1N98h6QT3csInj4UgNa/2pk0/ni7AzlO1H/cO9MCLkYEY6GVaN21qrSqdHpsSs/Dx/gu4XFZ7tpKHoxrPj+uLmaG+nMlVplgSZmxjwiUAwNRBGjjbWsnioh9zF+TliDVzRuDXgnJ8sDcNO0/lY/eZy9h95jKigjzw4gTpb//aWjeq9dh4sxyulNeWg8bJGs+P74uHQ3xYDjLHkjBTpTd0+O+JPADAbE61bHLu8nTAR7OHI+1y7X0stp/MQ1zqZcSlXkZkf3e8GBmIIT7OUse8o8rqGnx9JAufHMhAUUVtOfRytsHz4/tiRog31JYsB3PAkjBT247nokpnwF0eDhjh10PqOGREoIcDPpg1DC9GBuKjfen4PiUXe84VYs+5Qoy/qydejAzEcF/T+vld19Zg/ZFL+OxABoqvVwMAvHvYYH5EAB4c7g0ry1afWU8mjCVhhoQQ+PrmoabZYb5GrzYn0xHgbo9/PDIUL0wIwEf7LmBbSi7if72C+F+vYGygGxZNDMQIP2mvNq7Q1mDdoYv4/OcMXK2sPXTp62KLBREBuH94L6iULAdzxJIwQ0cvXcX5yxWwUSlx/3DTmHyRWqZPT3u8+/AQvDAhAKvj07H1WC5+TivCz2lFGBPgioWR/RDaxVNTlFXpsO6Xi/j3L5m4drMcervaYsGEQEwb6sVyMHMsCTP09c3TXmOGaOBobdrTBVDTervZ4Z2HhuCFCbWHob49moNf0ovxS/phjOrjgoWR/RDe17VTM5Te0OHLXzLxxcFMlFXVAAD6uNnhhcgAxAz2giXLoVtgSZiZq9er8cOpfAC110aQvPm42OKvDw7GggkBWB1/Ad8kZ+NIRgmOZBxBqL8LFkYGYnRf1w49pHitshpfHMzEl79cRLm2thz69rTDi5GBmDrYi9cudDMsCTOz9VgOqmsMCO7liMEyO5WSjPPuYYuV9w/CgogArIm/gC1J2UjMLMGjnycgxK8HXowMxNhAt3aVxdXr1fj8YAbWHbqEipvl0M/DHi9MCMTkQRqWQzfFkjAjt15hPTvUjwPWZsjL2QZvTQ/GvIi++GR/BjYmZiH50lX8zxeJGObrjIWRgRjXr2eDn73eIJCQWYKjRQq4ZpY0muqiuEKLzw9m4qtDF3G9Wg8A6O/pgBcjAzFpoCcsWA7dGkvCjBzOKEZG0XXYqy3xu6Gmcy8D6ngaJxss+91APD++Lz7efwEbE7JwPOsaHv8yCUN8nLEwMgARd7lj95mCWybNU+KrtGRobk6aF9LbBZ8dyMD6I5dQebMcgjSOeDEyENFBHiwHAsCSMCt1A9bThnrBXs0fbXfg4WiNpTG1ZfHp/gxsSLiEE9nX8OTaZPi62CKrpPEdyfJLq/DchmNQKRXQ6Wtv4hDcyxELI/th4gB37oFSA3wnMRNXyrWIPVN7syUOWHc/7g7W+NPUIDw3vi8+O5CBdYcuNlkQt9LpBQb1csSiif0woT/LgZrGc9jMxDdHs6HTCwz1cUaQl3nNKkot52avxpLJA/DPmUNbtP4fJw9A5AAPFgQZxZIwAwaDwKbEuinBOU8TAVW33WTKmMLy5u8tTd0bS8IM/JxehOySG3CwtsTUwRywptrDTx25HnVfLAkzUDcl+IPDve94QxfqPkL9XaBxsm50z+g6CtRO593VU3yQ/LAkZO5yWRV+OlsIgIea6DdKCwWWxgQBQKOiqHu8NCaIF8hRs1gSMrclKRt6g0BobxcEmvk9k6l1JgVrsGbOcHg6NTyk5OlkjTVzhmNSsEaiZCQnPAVWxmr0hvoBa95YiJoyKViDqCBPHE4vROzPCYgeG9boimuiO2FJyFj8r1eQX1qFHrYqTAr2lDoOmSilhQJh/i4oPisQ5u/CgqBW4eEmGdt4cy/ioRHevI8wEXUKloRM5VytxL5fawesZ4XyUBMRdQ6WhExtScqGEMCYAFf06WkvdRwiMlNmVRK9e/eGQqFo8PH6669LHavD6fQGbE7KBlA7JTgRUWcxu4HrN998E88880z9Y3t78/sve8/Zy7hSroWbvRpRQR5SxyEiM2Z2JeHg4ABPT/M+06duSvCHQ7xhZWlWO4NEZGLMriTefvttvPXWW/Dx8cGMGTPwyiuvwMrKyuj6Wq0WWu1vk5yVlZUBAHQ6HXQ6XbNfr26dlqzbES6VVOLntCIoFMBDwzWt+rpdnbWt5JITkE9WueQE5JNVLjmB9mVUCCFEB2aR1D/+8Q8MHz4cPXr0QGJiIpYsWYJp06bh888/N/qcZcuWYfny5Y2Wb9y4Eba2tp0Zt03+e8kCe/IsMMDZgOcGtGymTyLq3iorKzF79myUlpbC0bF1txIw+ZIw9iZ+q6SkJISEhDRavnXrVjz00EMoKiqCq6trk89tak/Cx8cHRUVFLdqYOp0OcXFxiIqKgkqlanb99tDWGHDP3/ej5LoOa2YPxcQB7q16fldmbQ+55ATkk1UuOQH5ZJVLTgAoLi6GRqNpU0mY/OGmBQsWYObMmXdcp3fv3k0uHzVqFAAgPT3daEmo1Wqo1epGy1UqVat+8K1dvy1+TM1DyXUdPB2tETVQA0tl28YjuiJrR5BLTkA+WeWSE5BPVjnkbE8+ky8JNzc3uLm5tem5x48fBwBoNOYxkdnXR2qnBH9kpE+bC4KIqDVMviRa6vDhwzhy5AgiIiLg5OSEpKQkvPTSS/jd734HX1/5X5GcXliBhMwSWCiAmaE+Uschom7CbEpCrVZjy5YtWL58ObRaLfz8/PDMM8/g1VdflTpah9h487TXCf09oHGykTgNEXUXZlMSw4cPx5EjR6SO0SmqdHpsPZYDgDcWIqKuxQPbMvDDyXyU3tChl7MN7unXU+o4RNSNsCRkYOMtNxbivQCIqCuxJEzcuYIyHL10FZYWCswI8ZY6DhF1MywJE1c3YB090APuDtbNrE1E1LFYEiassroG3x3LBcApwYlIGiwJE7b9RB7KtTXo7WqL0X2bvmKciKgzsSRMWN2U4LNCfWHBAWsikgBLwkSdyinFyZxSWCkt8NAIDlgTkTRYEiZqY2LtPE2Tgj3hat94AkIioq7AkjBB5VU6fJ+SB4BXWBORtFgSJmhbSh4qq/UIcLdHqL+L1HGIqBtjSZgYIUT9lOCzQ32hUHDAmoikw5IwMcezr+FcQTnUlhZ4cDgHrIlIWiwJE/P1kdrTXqcO9oKTrWnf7YqIzB9LwoSUVuqw42TtgPVsDlgTkQlgSZiQrcdyoK0xoL+nA4b7Oksdh4iIJWEqhBD1U4I/OsqPA9ZEZBJYEiYiMbME6YUVsLVSYvpQL6njEBEBYEmYjLp5mqYN9YKDNQesicg0sCRMQHGFFrtOFwDglOBEZFpYEibg26M5qNYbMNjbCYO8naSOQ0RUjyUhMYNBYFPdPaxDedorEZkWloTEDl0oxsXiSjioLREzhAPWRGRaWBISq5sSfPqwXrBTW0qchoioIdmUxIoVKzB69GjY2trC2dm5yXWysrIQExMDOzs7uLm54cUXX0R1dXXXBm2FwvIqxJ65DIBXWBORaZLNv67V1dWYMWMGwsPD8e9//7vR5/V6PaZMmYKePXvi4MGDKC4uxty5cyGEwL/+9S8JEjfvm+Qc1BgEhvs6Y4DGUeo4RESNyKYkli9fDgBYu3Ztk5+PjY1FamoqsrOz4eVVe2z/3XffxeOPP44VK1bA0dG03oT1BoGNN6+NeDSMp70SkWmSTUk05/DhwwgODq4vCAC49957odVqcfToUURERDT5PK1WC61WW/+4rKwMAKDT6aDT6Zr9unXrtGTdW+0/fwW5127AycYS0QPcWv38tmhr1q4ml5yAfLLKJScgn6xyyQm0L6PZlERBQQE8PDwaLOvRowesrKxQUFBg9HmrVq2q30u5VWxsLGxtbVv89ePi4loeFsBn5ywAWGCoczX2xu1u1XPbq7VZpSKXnIB8ssolJyCfrHLIWVlZ2ebnSloSy5Yta/IN+lZJSUkICQlp0es1NSmeEOKOk+UtWbIEixcvrn9cVlYGHx8fREdHt+gQlU6nQ1xcHKKioqBStWw6jfzSKqQeOQAAeP2huxHgbt+i57VXW7JKQS45AflklUtOQD5Z5ZITAIqLi9v8XElLYsGCBZg5c+Yd1+ndu3eLXsvT0xMJCQkNll29ehU6na7RHsat1Go11Gp1o+UqlapVP/jWrL/1eCYMAgjzd8GAXj1a/DU6Smu/N6nIJScgn6xyyQnIJ6sccrYnn6Ql4ebmBjc3tw55rfDwcKxYsQL5+fnQaDQAag8ZqdVqjBgxokO+Rkeo0RuwOem3KcGJiEyZbMYksrKyUFJSgqysLOj1eqSkpAAAAgICYG9vj+joaAQFBeGxxx7D3/72N5SUlODll1/GM888Y1JnNu09V4jLZVq42Fnh3oHG93CIiEyBbEriz3/+M9atW1f/eNiwYQCAffv2Yfz48VAqlfjhhx8wb948jBkzBjY2Npg9ezb+/ve/SxW5SXVTgs8I8YbaUilxGiKiO5NNSaxdu9boNRJ1fH19sWPHjq4J1AbZJZU4kHYFADBrJK+wJiLTJ5tpOczBpsQsCAGMDXRDbzc7qeMQETWLJdFFqmsM+L/kHACcEpyI5IMl0UXiUi+jqEKLng5qTAzigDURyQNLoovUTQn+SIgPVEpudiKSB75bdYHMouv4Jb0YCgUwM9RH6jhERC3GkugCdbcnHd+vJ7x7tHw+KCIiqbEkOlmVTo9vkrMBcEpwIpIflkQn23W6AFcrddA4WWP8XT2ljkNE1CosiU5Wd2OhmSN9YckBayKSGb5rdaLzl8uReLEESgsFHhnJAWsikh+WRCeq24uI7O8OTydridMQEbUeS6KT3KjWY+ux2iusOSU4EckVS6KT7DiZh/KqGvi42GBsQMfcM4OIqKuxJDpJ3ZTgs0J9YWFh/PapRESmjCXRCc7klSIl+xosLRSYMYID1kQkXyyJTlA3YH1vsCd6OjS+fzYRkVywJDpYhbYG247nAgAe5ZTgRCRzLIkO9t+UPFyv1qOPmx3C+7pKHYeIqF1YEh1ICIGvE2qnBJ8V6guFggPWRCRvLIkOdDKnFGfyymBlaYEHR3hLHYeIqN1YEh2obi9icrAnXOysJE5DRNR+LIkOUnZDh+0n8gHwCmsiMh8siQ7y/Yl83NDpEehujxC/HlLHISLqEJZSB5AzvUEgIbMEyVcU2Hf2IgDg0TAOWBOR+ZDNnsSKFSswevRo2NrawtnZucl1FApFo4+PP/64U/LsOp2Pu9/eizlfJGN9uhI516oAAA42qk75ekREUpDNnkR1dTVmzJiB8PBw/Pvf/za63pdffolJkybVP3ZycurwLLtO5+P5Dccgmvjcy/93AnZWSkwK1nT41yUi6mqyKYnly5cDANauXXvH9ZydneHp6dlpOfQGgeXbU5ssiDrLt6ciKsgTSk7sR0QyJ5uSaKkFCxbg6aefhr+/P5566ik8++yzsLAwflRNq9VCq9XWPy4rKwMA6HQ66HS6RusnZJYgv7TK6OsJAPmlVTicXogwf5e2fyOdoO77aer7MiVyyQnIJ6tccgLyySqXnED7MppVSbz11luIjIyEjY0N9uzZgz/84Q8oKirCn/70J6PPWbVqVf1eyq1iY2Nha2vbaPnRIgUAZbNZYn9OQPHZO+1vSCcuLk7qCC0il5yAfLLKJScgn6xyyFlZWdnm5yqEEJK9ky1btqzJN+hbJSUlISQkpP7x2rVrsWjRIly7dq3Z13/33Xfx5ptvorS01Og6Te1J+Pj4oKioCI6Ojo3WT8gswZwvkpv92hueDDHJPYm4uDhERUVBpTLdAXa55ATkk1UuOQH5ZJVLTgAoLi6GRqNBaWlpk+9rdyLpnsSCBQswc+bMO67Tu3fvNr/+qFGjUFZWhsuXL8PDw6PJddRqNdTqxtN5q1SqJn/w4QHu0DhZo6C0qslxCQUATydrhAe4m+yYhLHvzdTIJScgn6xyyQnIJ6sccrYnn6Ql4ebmBje3zru15/Hjx2FtbW30lNm2UFoosDQmCM9vOAYF0KAo6iphaUyQyRYEEVFryGZMIisrCyUlJcjKyoJer0dKSgoAICAgAPb29ti+fTsKCgoQHh4OGxsb7Nu3D2+88QaeffbZJvcU2mNSsAZr5gzH8u2pDQaxPZ2ssTQmiKe/EpHZkE1J/PnPf8a6devqHw8bNgwAsG/fPowfPx4qlQqrV6/G4sWLYTAY0KdPH7z55puYP39+p+SZFKxBVJAnDqcXIvbnBESPDTPpQ0xERG0hm5JYu3btHa+RmDRpUoOL6LqC0kKBMH8XFJ8VCPN3YUEQkdmRzbQcRETU9VgSRERkFEuCiIiMks2YRFepu7awbnqO5uh0OlRWVqKsrMzkz5WWS1a55ATkk1UuOQH5ZJVLTgAoLy8H8Nv7W2uwJG5TtzF9fHwkTkJE1LGKi4tbPTO2pNNymCKDwYC8vDw4ODi06OZBddN4ZGdnt/py964ml6xyyQnIJ6tccgLyySqXnABQWloKX19fXL16tdUXF3NP4jYWFhbw9vZu9fMcHR1N/heljlyyyiUnIJ+scskJyCerXHICuOOM2Eaf0wk5iIjITLAkiIjIKJZEO6nVaixdurTD54fqDHLJKpecgHyyyiUnIJ+scskJtC8rB66JiMgo7kkQEZFRLAkiIjKKJUFEREaxJIiIyCiWRButWrUKI0eOhIODA9zd3TF9+nT8+uuvUsdqZM2aNRg8eHD9BT/h4eH48ccfpY7VIqtWrYJCocCiRYukjtLAsmXLoFAoGnx4enpKHcuo3NxczJkzB66urrC1tcXQoUNx9OhRqWM10Lt370bbVKFQdNpNw9qjpqYGf/rTn+Dv7w8bG5v6G5wZDAapozVSXl6ORYsWwc/PDzY2Nhg9ejSSkpJa9Rq84rqN9u/fj/nz52PkyJGoqanBG2+8gejoaKSmpsLOzk7qePW8vb3x17/+FQEBAQCAdevWYdq0aTh+/DgGDhwocTrjkpKS8Omnn2Lw4MFSR2nSwIED8dNPP9U/ViqVEqYx7urVqxgzZgwiIiLw448/wt3dHRcuXOjQ+753hKSkJOj1+vrHp0+fRlRUFGbMmCFhqqa9/fbb+Pjjj7Fu3ToMHDgQycnJeOKJJ+Dk5ISFCxdKHa+Bp59+GqdPn8b69evh5eWFDRs2YOLEiUhNTUWvXr1a9iKCOkRhYaEAIPbv3y91lGb16NFDfP7551LHMKq8vFwEBgaKuLg4MW7cOLFw4UKpIzWwdOlSMWTIEKljtMhrr70m7r77bqljtNrChQtF3759hcFgkDpKI1OmTBFPPvlkg2UPPPCAmDNnjkSJmlZZWSmUSqXYsWNHg+VDhgwRb7zxRotfh4ebOkhpaSkAwMXFReIkxun1emzevBnXr19HeHi41HGMmj9/PqZMmYKJEydKHcWotLQ0eHl5wd/fHzNnzkRGRobUkZr03//+FyEhIZgxYwbc3d0xbNgwfPbZZ1LHuqPq6mps2LABTz75ZIsm2exqd999N/bs2YPz588DAE6cOIGDBw9i8uTJEidrqKamBnq9HtbW1g2W29jY4ODBgy1/oY5ur+7IYDCImJgYk/2P7eTJk8LOzk4olUrh5OQkfvjhB6kjGbVp0yYRHBwsbty4IYQQJrknsXPnTvHtt9+KkydP1u/teHh4iKKiIqmjNaJWq4VarRZLliwRx44dEx9//LGwtrYW69atkzqaUVu2bBFKpVLk5uZKHaVJBoNBvP7660KhUAhLS0uhUCjEypUrpY7VpPDwcDFu3DiRm5srampqxPr164VCoRD9+vVr8WuwJDrAvHnzhJ+fn8jOzpY6SpO0Wq1IS0sTSUlJ4vXXXxdubm7izJkzUsdqJCsrS7i7u4uUlJT6ZaZYErerqKgQHh4e4t1335U6SiMqlUqEh4c3WPbCCy+IUaNGSZSoedHR0WLq1KlSxzBq06ZNwtvbW2zatEmcPHlSfPXVV8LFxUWsXbtW6miNpKeni3vuuUcAEEqlUowcOVI8+uijYsCAAS1+DZZEOy1YsEB4e3uLjIwMqaO0WGRkpHj22WeljtHId999V//LXPcBQCgUCqFUKkVNTY3UEY2aOHGieO6556SO0Yivr6946qmnGixbvXq18PLykijRnV28eFFYWFiIbdu2SR3FKG9vb/Hhhx82WPbWW2+Ju+66S6JEzauoqBB5eXlCCCEefvhhMXny5BY/l2c3tZEQAi+88AK+++47xMfHw9/fX+pILSaEgFarlTpGI5GRkTh16lSDZU888QT69++P1157zWTPINJqtTh79izGjh0rdZRGxowZ0+jU7PPnz8PPz0+iRHf25Zdfwt3dHVOmTJE6ilGVlZWN7sugVCpN8hTYOnZ2drCzs8PVq1exe/duvPPOOy1/cuf0lvl7/vnnhZOTk4iPjxf5+fn1H5WVlVJHa2DJkiXiwIEDIjMzU5w8eVL88Y9/FBYWFiI2NlbqaC1iioeb/vCHP4j4+HiRkZEhjhw5IqZOnSocHBzExYsXpY7WSGJiorC0tBQrVqwQaWlp4uuvvxa2trZiw4YNUkdrRK/XC19fX/Haa69JHeWO5s6dK3r16iV27NghMjMzxX/+8x/h5uYmXn31VamjNbJr1y7x448/ioyMDBEbGyuGDBkiQkNDRXV1dYtfgyXRRgCa/Pjyyy+ljtbAk08+Kfz8/ISVlZXo2bOniIyMlE1BCGGaJfHII48IjUYjVCqV8PLyEg888IBJjvHU2b59uwgODhZqtVr0799ffPrpp1JHatLu3bsFAPHrr79KHeWOysrKxMKFC4Wvr6+wtrYWffr0EW+88YbQarVSR2tky5Ytok+fPsLKykp4enqK+fPni2vXrrXqNThVOBERGcXrJIiIyCiWBBERGcWSICIio1gSRERkFEuCiIiMYkkQEZFRLAkiIjKKJUFEREaxJIiIyCiWBBERGcWSIOpCV65cgaenJ1auXFm/LCEhAVZWVoiNjZUwGVHTOHcTURfbuXMnpk+fjkOHDqF///4YNmwYpkyZgvfff1/qaESNsCSIJDB//nz89NNPGDlyJE6cOIGkpKRG9yImMgUsCSIJ3LhxA8HBwcjOzkZycjIGDx4sdSSiJnFMgkgCGRkZyMvLg8FgwKVLl6SOQ2QU9ySIulh1dTVCQ0MxdOhQ9O/fH++99x5OnToFDw8PqaMRNcKSIOpir7zyCr799lucOHEC9vb2iIiIgIODA3bs2CF1NKJGeLiJqAvFx8fj/fffx/r16+Ho6AgLCwusX78eBw8exJo1a6SOR9QI9ySIiMgo7kkQEZFRLAkiIjKKJUFEREaxJIiIyCiWBBERGcWSICIio1gSRERkFEuCiIiMYkkQEZFRLAkiIjKKJUFEREaxJIiIyKj/BwVAoUeG+9VQAAAAAElFTkSuQmCC",
"text/plain": [
"<Figure size 400x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"#f(x)=(x-3)(x-5)(x-7)\n",
"def f(x):\n",
" y = (x - 3)*(x - 5)*(x - 7)\n",
" return y\n",
"\n",
"xx = [*range(a, b + 1)]\n",
"y = [f(i) for i in xx]\n",
"\n",
"plt.figure(figsize=(4, 3))\n",
"plt.plot(xx, y, 'o-')\n",
"plt.xticks(range(a, b + 2))\n",
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 21,
"id": "38502dc1",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 400x300 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rx = rnd.randint(a, b)\n",
"ry = f(rx)\n",
"xr = [a, b]\n",
"yr = [ry, ry]\n",
"c = '#cfc'\n",
"y2 = [0, 0]\n",
"\n",
"plt.figure(figsize=(4, 3))\n",
"plt.plot(xx,y)\n",
"plt.plot(rx, ry, 'o')\n",
"plt.plot(xr, yr, '-')\n",
"if yr[0] > 0:\n",
" plt.fill_between(xr, yr, y2, color=c)\n",
"else:\n",
" plt.fill_between(xr, y2, yr, color=c)\n",
"plt.xticks(range(a, b + 2))\n",
"plt.xlabel('x')\n",
"plt.ylabel('y')\n",
"plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 22,
"id": "fce84258",
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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CH/6UBwDQcAy7csqxcMNveHv2aOg8GA/kdKxljUZ8WCDCfaB4CCXWLnAch0BNIHScDnqNHiqtB8kJvKj2Zw3DEc3CEcUqoXIyxcoAWIx9YU29DHpV13sRij22lO2FthpOh4ISFcB0uDQpBHqteyEntKdnXjtKzy7F45sOwcYz3DoyFsO4QnyQF4L8ikbc/d4v+OSh8T61AOjk+XpYeYY+wTrEUvEQrzHG8Lf0k/j37lwAwMobB+P8mSx8cEqL70+U4fFNv+HNey6DVu07yVVYEewLt4EBuhWsKCXlVqz4oAbLzfeB4+xJtC2eAYwB+8c+DLhIqkpRXG6D2QIE6DjE9vGNPivZjhPnsWjjb7DyDDePjMNLtw5FnwBg/fwxiAsNQO6FBtz73j6U1/vOLfTsktYa0nQi5b3V23Pwrx/OAABW3jQE91yeiEtDGd6+ZyR0ahW+yz6PJZ8chtXGy9xT92UXt9zR8IHbwAAlVsU4X2nFivcqUVnLIztyIrJu+gssxr7t3lOu7oNHLUvw8PdDcOac+FW+csgtsfczJU4DlbNLcOK2Xacu4JH1v8FiY5g5PBav3T4C6pbfaWJ4EDY+OB7RRj1yyuox+/19qGwwy9xj97QOmr5xNaJk//w+B3//PgcA8KeZgzF3Yj/H9yYNiMS/54yGVs3hm8wSPPnZEdh431h1L5x8+cpUASVWBSirsmH5u5Uor+ER31eNlQ+Gw3zZ1chcshEnZv8NvyY/ihOz/4ZTf9yIs4lXoKGZ4fkPKpFXrPzkmldsBQCkxvvuakQl+DGnHA+u+xVmG4/rh8Rg9Z0jobnoVl6/yGBsenA8+hr0OFFah9nv70N1o/KT6zEfGzSV6u2dZ/BaxikAwLM3DMIDk1I7vOeaQVF4697R0Kg4bD5SjD9+rvzkarIBuS27HvlKjFBilVl5tQ0r3qvEhWoesZFqrHwwAmGGllumKjXqkkeiKGIC6pJHIjBQi2X3h2Ngkhb1TQwr36/E2VJlJ9dcIbHGUWL11M9nKvDAugMwW3lMGRyFf9w9qtP5sdS+Idj04HhEhuhwrKQWcz7Yj5om5caIlQdOlFLxEG+9vycXr2w7AQD4w7SBeOSqSzp979S0aLx5zyioVRy+PFSEZ784Cl7BybWowT4FFm3Uo69BL3d33EKJVUYVNTYsf68S5yttiI6wJ9VwY9fzkEEBKvxpfjj6J2hR18iw4r0qFJ639lCPxeEZkFciXLHSOjlP7M+rxPw1B9Bs4XHNpX3xr3svc7mis39UCDY+OB4RwTpkFtXgvg/3o7ZZmcm1tAmw2BiMARokhLu3Ypy099FPeXjhm+MAgCVTBuCxawe4bHP90Fj8/a6RUHHA5wfPYdnXmYpNruca7NMdvjK/ClBilU1Vnf1KtbTChqhwNVY+FIE+oe4t7gkOUOHP88ORGq9BbQOPFe9V4lyZ8pJreTPQbGbQaYH4vpRYxTp4thL3f7QfTRYbJg2IxNuzR0OvcS9GBkYbsGHBOIQFaXGksBrzPtyPepPyYsQxaNLCJY+s/zkfK/93DADw2DX9sfg610lVMGt4HN64055cN+0vxF82Zymy0llhS4z4UvEQSqwyqKm3J9Xichsiw1RY+WA4+oaJWzEbEqTCX+ZHoF+sBtX1fMvPU9bAKQya/WK1UKtp0BTjUEEV5n54AA1mG67o3wfv3TcGAVpxMZIWZ8SGBeNgDNDgt4Jq3P/RfjQoLLmeq7fHBd0GFm/jvgL8+b/ZAICHr0rFU9MGij45uXlkPP7vdyPAccCGXwqw8n/HFJdchXHEl2KEEmsPq23gseL9KpwrsyHCqMLKByMQFeHZ1ZwhWIW/LIhAYrQGVXV8yxWwcgbOwpZBk+ZXxTl6rhr3tVxhjkuJwPv3jRWdVAVD40Ox4YFxMARocCC/CgvWHkCTWTnVd3zxakQJPvu1EM99lQkAWHBlCp69fpDHV/z/b3QCXrnNXmxmzd58rNp6XDHJtdliQ2lLaXFfeYYVoMTao+oaeTz/fiUKSq0IN6iw8qEIxPTx7hZpaIgKKx4IR3xfNSpqeCx/rxJllcpIroX2hXxIofnVzl20525WYSXmfLAfdc1WjO0Xjg/njUWgzrvnf4cnhGHd/MsRotfgl9xKPLDuAJot8idXq41HkTBo0qM2bvvyt3N45oujAIB5E/vhTzMHe30b/Y6xiVh16zAAwHt78vDqdycVkVxPnq8HDw4RwVrE+FBFMb9MrG+99RZSUlIQEBCA0aNHY8+ePXJ3CfVNvP0RmRIrwkJUWPFgBOIipUk4YQb7wqe4SDXKq3ksf78K5dXyDpyMMcctHCVesSoiRo5tBlYPhWbDLRhz9m1oNtyCyA/GYLzpJ4xKCsNH91+OYL00MTIqKRxr7h+LIJ0aP52uwEPrD8qeXPPKG2HhOQTr1ejXJ1jWvlxMEfHhxH8PF+EPnx8BY8C945Kw/MY0yeam7xmXhOdvHgLA/ujOGy2P7shJqLg0JNboU3PwfpdYP/30UyxZsgTLli3DoUOHMGnSJNxwww0oKCiQrU9NVuCFtdXILbLCGKzC8gfDkRAl7VVcuFGNFQ9GIKaPGmWV9tXGFbXyDZxl1TyabBw0aiAxWllXrIqIkU723I1iFXhHtxofX1GGEImSqmBMvwh8NG8sArVq7D51AQs//g0mq3zVd4SH/tNijYoqHqKI+HDi26xSPPnZEfAMuGtsIv5681DJk819E/rhL7PSAAD/2HEaf9+eI+nPF8vxjLOP3dEQnVjnzZuH3bt3d0dfJPH6669jwYIFeOCBBzB48GCsXr0aiYmJePvtt2XpT5OJxzvH1ThTZIUhiMPyB8KRFN09V3B9QtUtc7ZqlFbYsPLDatTIUB9gxbwVSN98AACQFK2BVqOcQROQNkYu3rO30dLo+p+pHo3bnkEjBzRyXLt/zSoOjZwK+H6Z/X0ufpbYYw9LDMRbc4YgQGfFjpPn8Nin+9FoE9F3L48v/Jt932xsTt8GcGZcGqP16thS37JU2hgCAEcqODzxeSZsPMPvRidg1a3Duu1kZP6VKVg2YzAA4I3tp/DOrtxuOY47hF2P0nwssYo+Ja6rq8O0adOQmJiI+++/H3PnzkV8fHx39E00s9mMgwcP4tln2+8OM23aNOzdu9dpG5PJBJOpta5qba39g7RYLLBYLLBa7POVvEX8mT1jDK9sqEF+PYfgAA5/nheGpEi1qJ8lvNfdNhHBHJbPC8PyD6pQUmHDvxrVeP4qKyLCxV/9iD22oKGmAW8tfApcSCQip1+P0pv+H6Liozw6ttVi9WiTdovFeRuxMeIqPjzes1fmPXe1lwBaAAcBHKwDVvXwnr0FxwpQt2kjtH20eC8nDP/JD4c23LMTzmubr4WREzfwShUfgOsYaXu8OksdNCKH3X2nK7E2RwUbY5g1IgrLbuqHelsd4OYNKWEME3PsOydEot7SD3/PyMdr20/j5mQOkzzouyfHFtQ3W3GytB4A0K+vCrWWWlHt2x6/s8+7K560EYgebb/44gtUVFRgw4YNWLNmDZYvX44pU6ZgwYIFuPnmm2XdSLe8vBw2mw3R0dHtXo+OjkZpaanTNi+99BJWrlzZ4fX09HQEBQU5vi7NcN6+K8WNQHa+BlqO4dEBVugPXUDxIdE/xqPjP5oK/DNbjfNNHJa/XYHHh9gQ4uFHI/bYV8xcgtNJD6A+eyfO/bQdN/dfhxEjRmDKlCm4/PLLodG4H3Z7Mjyb22psbHT6utgYcRUfZqb8koFKlPR4Eqz1VlTvrUb1j9Uo+7oMIWkhCJ8cDuMoIzgRdzl27NgBHSduKzGp4gNwfwwBPIvndTkq2JgKw8J5XBtYjN3bil03ckLssVMBzEjksLVQjf+eVUO17kdcHevZ3QGxxzbZgLePq2HlOYTrGM4cOIBcLy7QMzIyRLfpLEbc4dEkTp8+fbB48WIsXrwYhw4dwocffog5c+YgJCQEs2fPxsKFCzFggPsPKkvt4nkHxlincxFLly7Fk08+6fi6trYWiYmJmDZtGoxGIywWCzIyMjBp6iRo3NzyTLD50HngyCkkhQD33Cq+PWA/49qTscej44+eWIe57x5CaROHtYWheH/+MIQFuZ9dPTn2d5kX8PEvJ6AKDMX0GTfin/99Ccezj2HD2g34xz/+geCQYNx5z5144OEHcMmAzsuuCceeOnWqRydrFRUVXX7f3RhxFR+MMVzbfC127NiBiddOdOv3pC7Yh6BP7nP5vsa71sGWNK7L91gtVuzdsdftY19s17FyLP3iJGyMw/ShkVh+ywBHYX93iD0+Ywx/z8jHpl9KwAGYc7UNi9+egOPZx7Fp3SZs/GAjGkIa8Lu7fod5D81Dav+O9W4vPvaMqTOg04lLrFLFB+A6RgD7FduejD2ImRojegvG0r9XALBh5vVhSEwTvzKWt/AozSj16Nj3AwhMr8MXe5rwVb4aEUNDcP24IJftvDl2s5nhpfXVyKuzIEjPYcFAK2Knie972+NPmjoJBq1BVFtXMdIVr1ZHlJSUID09Henp6VCr1ZgxYways7ORlpaGV199FU888YQ3P160yMhIqNXqDmeWZWVlHc5ABXq9Hnp9x/qTWq223YBu0BpED/BnzhcCABKCmUftAThug3rSfkhMIBYNseG900E4db4Bj649ho0PjEeom8lV7LG3ZZXg2f+cBM+A/3dZHK7UFaCxogF7f9iLndt3Qq1WY+aMmcg5noPLR1zeZYwIx774c3BXZ23Exog78WHkjNBxOkQFRrnX1wEzAUMsUFuCjpsDAgAHGOMQNGCmy+0BLRqLuGNf5NbhETh19AzW5GjwXWYtgrWl+L/fjXA7uYo5PmMML287gU0/VwDQ4YWb0xBSdhS2ahsO7j6IH3f8CLVajVkzZiHvZB4mXza56xhpObZOpxP93y5VfADuxYhwG1SlVYlKEM1mHsUV9nu+qYlaj5KLQOyxBXdODUFNbgO2F6nwwZZ6aLQqTBORXMUc22RmeHVjNY7l25Pqn+aFIfjoBY/7LtBoNZLFiDtE99RiseCLL77ArFmzkJycjM8//xxPPPEESkpKsHbtWqSnp2P9+vV4/nnv5mw8odPpMHr06A6X/RkZGZg4cWKP9ye7yD4nkBgi3/Ng0YHA2vvHoE+wDtnFtZjz4b5uKcqecew8Htto33z75mFRGMOfwqoXX0D//v0pRi6mUgPXvwIGez3l9loS2vUv99ieu8MiGN64Y7i9KPtvRVj6pfRF2RljeC39FP7dshBm+axLoSnYjxdeUFaMKCI+2sgvsYIxIFTLEG6QZz9jjuMwK5HHjVfYk+m/v6rF9gOe3ybtjNnC8Mr6KmSeMSNAx+FP88MxIEF5j+q5Q/QVa2xsLHiex9133439+/dj5MiRHd4zffp0hIWFSdA98Z588knMmTMHY8aMwYQJE/Duu++ioKAAjzzySI/2g+cZsotrANivWOU0oKUo+13v/oyj52ow98P9WL/gchgCpAnaH06UYeHHB2HlGW4aEYePH5+K9TyP8ePH46effsLYsWM7tOn1MZJ2EwqnvANNxlLEobL1dWOcPamm3dRzfQFw/ZBorL5zJBZ/cgif/XoOGrUKL94i3eMcf/8+B2/+cBoAsOLGNPzh5rHgFRojioiPFrkt+y4nyHhyDgAcB8yZHgwewDc/NeKdL2uhVnG4ZrQ0GydYrAyvbqjCkRwz9FoOy+4Px6XJOo8WjSqB6MT6xhtv4Pbbb0dAQOf3+sPDw5GXl+dVxzx15513oqKiAs8//zxKSkowdOhQbN26FcnJyT3aj7yKBjSYbQjQqhClgE07Lo0x4OMHxuOe93/B4cJq3P/RAayd730Bgl2nLuDhDQftm28Pi8Xrd4zAWOsbuOWWW7Bjxw6nJ14AxQgA/KyfiKWmf2BefBFmhORj5KTp0KRO7rEr1YvdOCIONp7hic8OY+O+AmhUHFbeNMTr5Prmjhys3t66+fa8K1KgfkO5MaKU+ABat11MUED9DI7jcP8sA2w8sO3nRvzrPzVQq4DJo7wb4CxWhr99XI1DJ83QaYHn5oUhLUXcnLnSiL4VPGfOnC6TqhIsXLgQ+fn5MJlMOHjwICZPntzjfcgqsl+tDooxQCn159sWZf/1bBXuX3MAjWbPyx/+dLocD637FWYrj+lDorH6Lvvm2xQj7skqqgUPFbh+V6IoYgJY8pWyJVXBLaNai7Kv+/ks/rrFu7qx7+w6g7+ld9x8W+kxooT4AIDcIvsVa6LMd70EHMdhwY0GTBsXCMaAf35Wg5+ONHn886w2hjc2VePX4yboNMDSueEYeolv7LnaFb+rvKQUQikupVUMGRofivULxsGg12B/XiUWrPnVo6LsP5+pwIK1B2Bq2Xz7n3df1unm28S5rJapAqXFyO9GJ+Dl2+x1Yz/8KQ8vfXvCo+T6/p5cvPyte5tvk47MFobClu0glZJYAUCl4vDgzUZcNyYQPANWf1qDnzObRf8cm41h9Sc12JdtgkYNPH1fOIb39/2kClBi7TaZ5+yDZlqssgZNABiRGIa1C+xF2X/OrcBD638VVTf2QH4lFqwVt/k2ac9q43G8pVzbEIUlVgC4c2wSXrx1KADg3d25+D+RRdnXeLD5NmnvbKkFPA8YgzmEKuzOqErF4ZHbjLj6sgDwPPDGpmrsz3Y/udp4hn98Zk/IGjXw9JxwjBroH0kVoMTaLRhjjquRIXHinp3qKZe1Kcq+J6ccD68/CJPVdXI9eLYK8z7cj0az+M23SaszFxrQbOERrFMjOULcows95d5xyY6i7G/tPIM33Kwbu/6Xs1jh4ebbpFVukf1qNSVWCyXWn1epOCz8XSgmjQyAjQde21iNX4+7Tq42nuFfn9fgxyPNUKuAP9wbhtGD/CepApRYu0VhZRPqmq3QqVXo3zdE7u50aky/CHw4bywCtCrsOnUBCzf8BnMXRdkPF1Zj7of70WC2YeIlnm2+TeyEOfghcaGKKkB/sfsm9MOfhaLs3+fgn993nVw37S/An7/OAuD55tvELrfYPr+aGqesTSzaUqs4PH57KCYOD4DVBvzfhmocOmnq9P08z/DOF7XYdagZKhXw5D1hGOtB0Qulo8TaDYSr1UGxBsXfIh2f2gcfzh0LvUaF70+U4fFNv8Fi65hcM8/VYM4H+1o3355LSdUbjvlVH9jge8GVKVh6wyAAwGsZp/D2zjNO3/e5hJtvEyCvSPmJFQDUag6L7wzFuCF6WG3AK+urcCSnY3LleYZ3v67FjoNNUHHAkrtCMX6o/yVVgBJrt2h7NeILJvaPxHv3jYFOo8J32eex5JPDsLZJrsdKajH7g33tNt8O0in7j13phOIhQ+OVN7/qzMNXXYI/Tr8UAPDKthN4f0/7HU/+e7gYT39xFIxJt/l2b2axMpwtbbkVrMD9jC+mUXN44u4wjB2sh8UKvLyuCllnWpMrYwwfbK5Dxn57Uv39naG4YrgCnkPsJpRYu0FmkXA14huDJgBMHtgX/54zGjq1Ct9kluCJz47AauNR3ADMW3MQNU0WyTff7q3aFg/xhStWwaJr+uOJKQMBAC98cxwf/WR/xvS3cg5Pf5kFxoDZ46XdfLu3KjxvhdUGBAdwiArzjWFaq+Hw1L1huOxSPcwWYNWaahzPN4MxYM239dj2SyM4Dlh0eygmjfTfpAp4WSuYdMQYa/Ooje8MmgBwzaVReOvey/DoxwfxvyPFaDZb8XOOGvVWC0YkhGLt/Msl33y7N2pbPCQ1MhiMl29DerEWTxkAK8/jnztOY+X/jiGrqBpf5ajAw7759vM3Sb/5dm/kmF+N1/rU71Or4fDH2WF4eZ29itKL62swxKDCbxX2Z10fvc2Iqy/z76QK0BWr5EpqmlHZYIZGxeHSGGWuCO7KlLRo/PPuy6BRccg4XoZ6K4chcQasmz8ORolKIPZ2wlRBWqwRGh989vfJqQPx6NX2Z1K/+K0YPDjcNiquWzff7m3yWlYEp8b73t+cTsvhmfvCMay/DiYzw28V9hh/+FYjrhurzBXwUvO9v2qFEwbNAdEGn13cc/3QGPzj7lHQqjkkBDOsmTvG7R1xiGuOOxo+dBu4LY7j8PT0S/HwVfYqSpf35bHqliGUVCXUesXqm3eI9FoOS+8Lx7BULVRgeGBWiOgdcXyZb35qCiYkVqVV0xFrxrBYjEsOxe4dGaL2cCWuCcVDfG2qoC2O47D0hsF4YGIy9u7MELWHK+mazcaQXyKsCPbdvz29jsOf54Xh9OYSDOhFSRWgK1bJZfn41UhbxkAtaLyUVrviIT60uK0zdNIlvaILVpgtQKCeQ0wf37zrJeA4DsG9MEQosUrMccXqB4mVSK9t8ZCB0b43B0+6n6PiUpyGbq/7KEqsEiqrbUZZnQkqDhgcS4Mm6aht8RDatIA401pxqRde6vkJ+suWkDBoXtI3hAooEKcyfax4COl5wlZxKT64IpjYUWKVUFaR/8yvku6R5YPFQ0jP4XmGvGLhURs6OfdVlFglRPOrpCtti4cMoxghTpRU2NBsZtBpgfi+lFh9FSVWCSl1c3OiDG2Lh9DCJeKM4zZwrJYeYfJhlFglUtlgRlG1vWxXGiVW4kSmHxQPId2L5lf9AyVWiQi3gVMig2Gg0n/EiWw/KR5Cuo/wqI3St4ojXaPEKhHHQ/80aJJO+FPxECI9xli74vvEd1FilYiwvyYtSiGdocVtpCvnK21obGbQqIHEaLpi9WWUWCWSSYMm6QIVDyGuCLeBk2M10Khp4ZIvo8QqgZpGCwoqGwHQrWDiHBUPIa5QxSX/QYlVAtkl9kEzITwQYUE6mXtDlIiKhxBXhBXBNL/q+yixSoDmV4krNL9KusIYQx4tXPIblFglQPOrxBV/2aeXdI/yGh61DQxqFZBEC5d8HiVWCdCjNqQrFfUmFNc0A6DiIcQ54TZwYrQGOi0tXPJ1lFi9VG+yIq+8AQBdsRLnhFKXVDyEdMYxv0oLl/wCJVYvHS+pBWNAbGgAIkP0cneHKJBwR4NOvEhnHDvaJNBtYH9AidVLmedof03SNZpfJa6coStWv0KJ1UutVyM0aBLn6FEb0pWqWhuq63ioOHtxCOL7KLF6SXjUZihdsRInqHgIcUUoDBHXV4MAHQ3J/oA+RS80mW3IKasDAAxLoMRKOhKKhyRGUPEQ4pxQyvCSeLpa9ReUWL1wvLQWPAMiQ/SIMtDCJdJR6/wqnXgR585QxSW/Q4nVC479NeON4Dh69ox0RPOrxJU8YXNzWrjkNyixeiGL5leJC1Q8hHSlpp5HeQ0PAEihzc39BiVWL9DziaQrVDyEuCLUB46LVCMogIZjf0GfpIdMVhtOnbcvXKJHbYgzx4qpeAjpmlBxKYXmV/0KJVYPnSqth8XGEBakRXxYoNzdIQokLFyi4iGkM7QHq3+ixOohx23guFBauEScouIhxBXhUZtUetTGr1Bi9RDtr0lcoX16SVfqG3mcr7QBoCtWf+MzifXFF1/ExIkTERQUhLCwMKfvKSgowI033ojg4GBERkbi97//Pcxmc7f0J6uIrkaUpm2MpKamOn1PT8VI2+IhdPKlHEKMJCYmdvqenooRYeFSVIQaIUE+MxQTN/jMp2k2m3H77bfj0Ucfdfp9m82GmTNnoqGhAT/++CM++eQTfPHFF3jqqack74vFxuN4acugSfNniqGkGKHiIcokxMi8efOcfr8nYyRX2NGGHrPxOz7zia5cuRIAsGbNGqffT09Px7Fjx1BYWIi4uDgAwGuvvYZ58+bhxRdfhNEo3ZXl6bJ6mK08DHoNkiKCJPu5xDtKihEqHqJMQoy8+eabTr/fkzGSSxWX/JbPJFZXfv75ZwwdOtTxxwAA06dPh8lkwsGDB3HNNdc4bWcymWAymRxf19ba58UsFovjn/C14EhBJQAgLc4Am80Km63zfjlrL4Y37XvrsW2dfCCexIir+Oisr0fPVQMA0mIMLv8bfPX37G373hQjVov96pS38I73OR61iVa3e/1iwve6ek9X5GyvlL5bLVZYIC5OPI1LwI8Sa2lpKaKjo9u9Fh4eDp1Oh9LS0k7bvfTSS46z2LbS09MRFNR6NZqRkeH439/kqQCoENhcga1bt7rVv7btPeFN+9527CNHjsBqtXZ43ZMYcTc+Lu7r3uNqAByaS3Kwdespt/rta79nqdrLcezjx487fb27Y6Q0w/4zmm1ASbk9RgKPVaA4x3WfhbaekrO93H3fk7FHdJvGxkaPjydrYl2xYoXTgGzrwIEDGDNmjFs/z9ktN8ZYl7fili5diieffNLxdW1tLRITEzFt2jQYjUZYLBZkZGRg6tSp0Grtt2zWvrcfQDVmXTECM0bEdtknZ+3F8Ka9Pxx7//79WLVqVZfv/fnnnzF69GjH1+Xl5dBonIe22BhxFR9t+yr8t5qsPJ7a9z0AhvtuvNrlc85K+D33thjJz8/v9L3dESN1ljrsydiDmKkxUGlVOJ5vBttfjT5GFS69Oc7pzxXwFh6lGaWOtmLJ2V4pfZ80dRIMWoOothUVFaKPJ5A1sT722GO46667unxPv3793PpZMTEx2LdvX7vXqqqqYLFYOpyBtqXX66HXd1xcotVq2/2xC1/beIbjJfaFSyOTwt0eEC7+eWJ5096Xj/3YY49hzpw5Xb6nX79+7Y6hVqudvs+TGHE3Ptq+duJ8Day8vXhIcqTB7TlWX/2MvW3fG2JE0zLUqrQqqLQq5J1vecwmXut2whDaekrO9nL3XaPViI4xb2JS1sQaGRmJyMhISX7WhAkT8OKLL6KkpASxsfaryPT0dOj1+nZnqt7KK69Hk8WGIJ0aKZEhkv1c4lxkZKTj8/RWT8WIUBhiWDwVD+kJvhgjwqM2tHDJP/nM4zYFBQU4fPgwCgoKYLPZcPjwYRw+fBj19fUAgGnTpiEtLQ1z5szBoUOH8P333+MPf/gDHnzwQUlX8gk72qTFGqFW0aCpJBfHCAAcPXpUhhihUoZKJcTIuXPnANjjQ45xhCou+Tef+VT/8pe/YO3atY6vR40aBQD44YcfcPXVV0OtVuObb77BwoULccUVVyAwMBD33HMP/va3v0naj0yquKRYF8cIAEyaNKnHY4SKhyjXxTEyadIkAD07jpjMDOfKhMRKV6z+yGcS65o1azp9PlGQlJSELVu2dGs/Wq9GaNBUmrYxUlFRgcjISNTU1LS70ujuGKHiIcomxEhn8QF0f4ycLbWAZ0BYiArhBp+5aUhEoE9VBJ5nOFbcUv81gQZN0pGjeEiABsl9qHgI6aj1NrCW5uD9FCVWEQoqG1FnskKvUaF/X1q4RDpqe0eDBk3iTGvFJZ+5YUhEosQqgjC/OijWCI2afnWkI8f8Kt0GJp1wJFba0cZvUXYQoXUPVppfJc5ltUwV0OI24ozFylBw3n4rOIUWLvktSqwi0P6apCu2NnPwlFiJMwXnrbDxgCGIQ98wGn79FX2ybmKMtV6x0qBJnMgrb2hTPCRY7u4QBcoroYVLvQElVjcVVTejutECrZrDgGhauEQ6yi6m4iGka7ktFZdSaH7Vr1FidZMwaA6MNkCvcV5nlPRu2S01pOmOBumMY3NzWhHs1yixuim7hOZXSdeyaX6VdMHGw7Fw6RJauOTXKLG66Vix/WpkCA2axAmeAcccV6y0apx0VNoEWKxAUACH6Ai66+XPKLG6gbE2j1HQozbEifJmoJ6Kh5AuFDbY591T4mjhkr+jxOqGGjNQ0WCGWsVhcCwlVtLRuZZBk4qHkM4IMZIaR/Or/o5GADcIfxADokIQoKVbOKQjIUaG0W1g0gkhRi5JoPlVf0eJ1Q2FDfb/T/trks4IMUKlDIkzNp6hqCVG6FEb/0eJ1Q3CmSYtSiHOMMZwrl6IEUqspKP88kaYeQ56HYfYSLrr5e/oZr8bChto0CSdK6puRqONo+IhxDnehorMXbhJlQl9RCTUiARAydWfUWJ1obzehBozB46zV9Qh5GKtxUNCqHgIae/YZmDbM5hSW4wpOgDVgHl1XxRevwjVaZPl7h3pJnQr2AXh2cSUPsEI1tN5COlIKB4yhE68SFsntgKf3QfUFrd7WVt7AamfrUDYsd0ydYx0N8oULmS17GgzJM4gc0+IUjlqBNMzzqSt7X8BwMAANF303CoDELntXzh/yRhA1fVdDt7Kw8zMMFlNUHlwLSRne6X0nTEmuq03KLG64LgaoUGTOGHf9Ui4YqWTL9JGXSmg59DEcRjXL9H5ez5Z6P7P+8zL/sjZXua+T7ZNRih6bo0M3Qp2IcYYgD56RhWXiFNNFhuGxYUiVMswKIYSKyFK5MnVrjfoitWFP88chNFcLsalRMjdFaJAQToN3r/vMmzdupWKhxCnAhnDvvxCp98z3fsx+OTxXba3Wq3Y/d1uTJ4+GRqN+CFbzvZK6Xuoumef6KDESggh3cEQA5jLwIEhqMMcHwcY4xCUer3LOVYLLNBxOkRoIqDVii8uIWd7pfS9p2sz061gQgjpDlOeb/kfFw/qLV9f/7LLpEp8EyVWQgjpDoNmAHesA4yx7V83xtlfT7tJnn6Rbke3ggkhpLuk3QQMmglr7m4c3vMdRk6aDk3qZLpS9XN0xUoIId1JpQZLvhJFERPAkq+kpNoL0BXrRYQHiWtr7c8mWiwWNDY2ora21rPJcxnb99ZjA0Bdnb1iltQPhl8cH0Dv/j37at+7Kz7a/kypYoQ+Y9+LEUqsFxF+mYmJnTzQTXxKRUUFQkOlW2pP8eFfpI4PgGLE33gSIxzr6VpPCsfzPIqLi2EwGMBxHGpra5GYmIjCwkIYjeKLRMjZvrceGwBqamqQlJSEqqoqhIWFiW7fmYvjQ4q++vLv2Vf73l3xAUgfI/QZ+16M0BXrRVQqFRISEjq8bjQaPfpgldC+tx4bsH+eUuosPoDe/Xv21b5LHR/Cz+yOGKHP2HdihBYvEUIIIRKixEoIIYRIiBKrC3q9HsuXL4der/e59r312FK078lj9dbfsy8fuyePR5+x7/WdFi8RQgghEqIrVkIIIURClFgJIYQQCVFiJYQQQiREiZUQQgiRECXWTrz00ksYO3YsDAYDoqKicMstt+DkyZNut3/77bcxfPhwx4PJEyZMwLfffutxXziOw5IlS9x6/4oVK8BxXLt/MTExbh+vqKgIs2fPRp8+fRAUFISRI0fi4MGDbrXt169fh2NzHIdFixa51d5qteJPf/oTUlJSEBgYiNTUVDz//PPged6t9nV1dViyZAmSk5MRGBiIiRMn4sCBA261FcubGJEyPoS+9IYY8TY+gJ6Lkd48hgC9PEYYcWr69Onso48+YllZWezw4cNs5syZLCkpidXX17vVfvPmzeybb75hJ0+eZCdPnmTPPfcc02q1LCsrS1Q/9u/fz/r168eGDx/OFi9e7Fab5cuXsyFDhrCSkhLHv7KyMrfaVlZWsuTkZDZv3jy2b98+lpeXx7Zv385Onz7tVvuysrJ2x83IyGAA2A8//OBW+xdeeIH16dOHbdmyheXl5bHPP/+chYSEsNWrV7vV/o477mBpaWls165dLCcnhy1fvpwZjUZ27tw5t9qL4U2MSBUfjPWuGPE2PhjruRjprWMIYxQjlFjdVFZWxgCwXbt2efwzwsPD2fvvv+/2++vq6tiAAQNYRkYGu+qqq0T9UYwYMcKjPj7zzDPsyiuv9KitM4sXL2aXXHIJ43nerffPnDmTzZ8/v91rt912G5s9e7bLto2NjUytVrMtW7a0e33EiBFs2bJl7nfaQ97GiNj4YKz3xYg38cGYvDHSW8YQxihG6Fawm2pqagAAERERotvabDZ88sknaGhowIQJE9xut2jRIsycORNTpkwRfcycnBzExcUhJSUFd911F3Jzc91qt3nzZowZMwa33347oqKiMGrUKLz33nuijw8AZrMZGzZswPz58x3FyF258sor8f333+PUqVMAgCNHjuDHH3/EjBkzXLa1Wq2w2WwICAho93pgYCB+/PFH8f8BInkaI57GB9D7YsSb+ADkjZHeMoYAFCN0xeoGnufZjTfeKPoM7OjRoyw4OJip1WoWGhrKvvnmG7fbbtq0iQ0dOpQ1NTUxxpios82tW7ey//znP+zo0aOOM9Xo6GhWXl7usq1er2d6vZ4tXbqU/fbbb+ydd95hAQEBbO3atW73XfDpp58ytVrNioqK3G7D8zx79tlnGcdxTKPRMI7j2KpVq9xuP2HCBHbVVVexoqIiZrVa2fr16xnHcWzgwIGi+y+GJzHiTXww1jtjxNv4YEyeGOlNYwhjFCOUWN2wcOFClpyczAoLC0W1M5lMLCcnhx04cIA9++yzLDIykmVnZ7tsV1BQwKKiotjhw4cdr4n5o7hYfX09i46OZq+99prL92q1WjZhwoR2rz3++ONs/Pjxoo87bdo0NmvWLFFtNm3axBISEtimTZvY0aNH2bp161hERARbs2aNW+1Pnz7NJk+ezAAwtVrNxo4dy+699142ePBg0f0Xw5MY8TQ+GOu9MeJtfDAmT4z0pjGEMYoRSqwuPPbYYywhIYHl5uZ6/bOuu+469tBDD7l831dffeX4QIV/ABjHcUytVjOr1Sr62FOmTGGPPPKIy/clJSWxBQsWtHvtrbfeYnFxcaKOl5+fz1QqFfv6669FtUtISGBvvvlmu9f++te/sksvvVTUz6mvr2fFxcWMMftChBkzZohqL4ZUMeJufDDWe2NEqvhgrOdipLeNIYxRjNB+rJ1gjOHxxx/HV199hZ07dyIlJUWSn2kymVy+77rrrkNmZma71+6//34MGjQIzzzzDNRqtajjmkwmHD9+HJMmTXL53iuuuKLDIwGnTp1CcnKyqGN+9NFHiIqKwsyZM0W1a2xs7LD/oVqtFrVUHgCCg4MRHByMqqoqfPfdd3j11VdFtXeH1DHibnwAvTdGpIoPoPtjpLeOIQDFCF2xduLRRx9loaGhbOfOne2WfTc2NrrVfunSpWz37t0sLy+PHT16lD333HNMpVKx9PR0j/oj5jbOU089xXbu3Mlyc3PZL7/8wmbNmsUMBgPLz8932Xb//v1Mo9GwF198keXk5LCPP/6YBQUFsQ0bNrjdV5vNxpKSktgzzzzjdhvB3LlzWXx8vGOp/JdffskiIyPZ008/7Vb7bdu2sW+//Zbl5uay9PR0NmLECHb55Zczs9ksui+ueBMjUscHY70jRryND8Z6LkZ66xjCGMUIJdZOAHD676OPPnKr/fz581lycjLT6XSsb9++7LrrruuxQfPOO+9ksbGxTKvVsri4OHbbbbe5PXfHGGP/+9//2NChQ5ler2eDBg1i7777rqi+fvfddwwAO3nypKh2jDFWW1vLFi9ezJKSklhAQABLTU1ly5YtYyaTya32n376KUtNTWU6nY7FxMSwRYsWserqatH9cIc3MSJ1fDDWO2LE2/hgrOdipDePIYz17hihbeMIIYQQCdFzrIQQQoiEKLESQgghEqLESgghhEiIEishhBAiIUqshBBCiIQosRJCCCESosRKCCGESIgSKyGEECIhSqyEEEKIhCixEkIIIRKixNpLXLhwATExMVi1apXjtX379kGn0yE9PV3GnhGloBghXaH4cB/VCu5Ftm7diltuuQV79+7FoEGDMGrUKMycOROrV6+Wu2tEIShGSFcoPtxDifUiPM+juLgYBoMBHMfJ3R3JPfXUU/jhhx8wevRoZGZmYufOnQgICJC7W5JjjKGurg5xcXEd9mb0hr/HB9A7YqS74gPw/xjpDfEBeBcjlFgvcu7cOSQmJsrdDSKRwsJCJCQkSPbzKD78i9TxAVCM+BtPYkTTTX3xWQaDAYD9l2k0GmGxWJCeno5p06ZBq9WK/nlytu+txwaAyspKpKSkOD5PqVwcH1L01Zd/z77a9+6KD0D6GKHP2PdihBLrRYRbN0aj0ZFYg4KCYDQaPf5g5WrfW48ttAcg+a24i+NDOFZv/j37Yt+7Kz7a/kypYoQ+Y9+LEVoVTJSHt4E7+yPiK38Gd/ZHgLfJ3SNCCHEbXbESZTm2Gdj2DDS1xRgDAGffBoxxwPWvAGk3yd07Qghxia5YiXIc2wx8dh9QW9z+9doS++vHNsvTL0IIEYGuWLvAGEOTtQlmZkaTtQkWWET/DKvVKlt7nzo2zwPbngE4oOX/AAACGQMHZn9t27PAoJmASi2qL8T/1DZb8Mm+s6irlbsnRKmOl9TiYH4F6ht7/tiUWLvQZG3CFZ9dAQB4/rPnvfpZcrb3mWP30QB92j+msC+/EEGMAWBAbRFwdi+QMsnj/hD/kFVUg1XfnkSEXo3fy90ZokgZx87j9YxTGBupwoIePjbdCia+pf683D0gCpBdZL9UTQimx/CJc1lFNQCAhJCejxG6Yu1CoCYQ2+/Yjt3f7Ubs9FioNOLPQ3grj5LvSmRp70vHDj57FAM+frbD64EX1y8JiRbVD+KfMlsGzURKrKQTjsQqQ4xQYu0Cx3EI1ARCx+mg1+ih0nqQnMDL1t6Xjm1NvQwaQyS0tRfg/Kkxzr46OHmiqH4Q/5RVLCRWmTtCFKmi3oTimmYAQEJQzx+fbgUTZVCpUXj9IgAA3+GbLan2+pdp4RJBvcmKvPIGAEA8XbESJ7KL7VMFKX2CECDD5SMlVqIY1WmTcep3K3CeRbT/hjEOuGMdPcdKANhXezIGRBv1MOrk7g1RIuGORlqcUZbj061goihHwibgWVN/TA44iUXJ5UibdA2CU6fQlSpxyDxnHzSHxBoBNMjbGaJIwvzqkDgDIMMjWXTFShQlt9gCHipUxA1HccQE2JInUFIl7QhXI0NluhohypfVsmrcfvLV8yixEkXJLbIXk0iNE19wm/QOwqM2aXHS70xDfF9NowUFlfaqEENkOvmixEoUJa/YCgBIiaNZCtJRk9mGnLI6APINmkTZsktaVoxHBCI0UJ4TdEqsRDGsNob8EuGKlRIr6eh4aS14BkSG6BBt0MvdHaJAwvzq0LhQ2fpAiZUoxrkyKyxWIFDPITqc5lVJR9nCoBkf2i17qRLfJ8yvDo2nxEpIm/lVDVQqGjRJR45BU8arEaJsjsVtlFgJaTO/Gk8Ll4hzrYMmza+SjtoWD5FzDp4SK1GMM8IVKyVW4oTJasOp88LCJbpiJR0dK7YXD4kNDUBkiHxz8JRYiSLYeIb8litWetSGOHOqtB4WG0NYkBYJ4YFyd4coUGthCHlPvCixEkUoKbfBZGHQaznE9aWFS6Sj1sIQtHCJOCfEyDAZ51cBSqxEIYSFS/3iNFDTwiXihONqhOZXSSeyHSuC5Y0RSqxEEajiEnElq5hWBJPOtS0eIueKYIASK1EIR2KNp8IQpCOLjcfxEntilfs2H1Gm1uIhekTJXDyEEiuRHc8zx6M2tCKYOHO6rB5mKw+DXoOkCBl2riaKJxQPGRZvlH0OnhIrkd35ShsaTQxaDZAQRVespCNhfjUtzkjFQ4hTSqi4JKDESmSXW2y/DZwco4VGTYMm6Si7WDmDJlGmTIU8agP4WGLdvXs3brzxRsTFxYHjOHz99dftvs8Yw4oVKxAXF4fAwEBcffXVyM7OlqezxG25RcJtYO+vVoUYGTJkCABgy5Yt7b5PMeKbMoukeYyC4sM/tS0eIveKYMDHEmtDQwNGjBiBN9980+n3X331Vbz++ut48803ceDAAcTExGDq1Kmoq6vr4Z4SMXIlrLgkxMgrr7zi9PsUI77HxjMcK5bmMQqKD/90qrQeVp4hPEiL+DD5i4f41ITWDTfcgBtuuMHp9xhjWL16NZYtW4bbbrsNALB27VpER0dj48aNePjhh3uyq8RNjDHHrWApHrURYqSiosLpsShGfE9eeT2aLDYEatVIiQzx6mdRfPintoX35V64BPhYYu1KXl4eSktLMW3aNMdrer0eV111Ffbu3dvpH4XJZILJZHJ8XVtrPzO2WCywWCywWuy3KXkL71G/hHZytPeFY1+otqG+kUGtAhL6qDq0s1qssMAi+vgWS8c2nsSIq/hoeyxnxxTTV0/ay3lsb9u72/ZwQRUAYHCsAbzNCt4m3bHb6q4xRKq++vNn7G37I4UtMRIT0u69UseIu/wmsZaWlgIAoqOj270eHR2Ns2fPdtrupZdewsqVKzu8np6ejqCg1mX9pRml3vVPxvZKPvaRCg6AGjEBDBfSSzp8f0/GHo+O29jY2LEvHsSIu/EBABkZGR71VYr2ch7b2/au2m7JVwFQIcRcia1bt0pybKniA+i5GPHnz9jb9nuPqQFwMJeewdatpyU5vrMYcZffJFbBxbcBGGNd3hpYunQpnnzyScfXtbW1SExMxLRp02A0GlFnqcOejD2ImRoDlVb8lDRv4VGaUSpLe1849q7t9cCpRlw6OBBxM4wd2k+aOgkGrUF0353d6hOIiRFX8QHYz2wzMjIwdepUaLXib2d7017OY3vb3t22H39wAEAVZkwYhhmXxUtybKniA+j+GOkNn7E37S02Hn88sAMAj9mzrkJym+ecuytGXPGbxBoTEwPAftYZGxvreL2srKzDGWhber0een3HKh1arRZarRaall+RSqvyKDkJ5Gyv5GPnldpvtV+SoHP6Po1W49EfpLM2nsSIq/hw9ZrYPnvaXs5je9u+q7Y8z3C8xL5waERShNP3eXJsqeID6LkY8dfP2Nv2p8tr7cVDAjS4JMp5cQipYsRdPrUquCspKSmIiYlpd8lvNpuxa9cuTJw4Ucaekc4wxiR91MYVihHfU1DZiDqTFTqNCv2jvFu45ArFh29qfX5V/opLAp+6Yq2vr8fp0633z/Py8nD48GFEREQgKSkJS5YswapVqzBgwAAMGDAAq1atQlBQEO655x4Ze006U1nLo6aeh4qzF4eQghAj1dXVAICzZ89SjPgwYdAcHGuEVu39dQDFh/8RShkqaXMGn0qsv/76K6655hrH18K8xty5c7FmzRo8/fTTaGpqwsKFC1FVVYVx48YhPT0dBoP4OTrS/YTnVxOiNNDrpDnTvDhGnnvuOTz33HMUIz6qdQ9WaR76p/jwP8KuR8MSKLF65OqrrwZjrNPvcxyHFStWYMWKFT3XKeKx1sL70oWhECMVFRWIjIxETU2NYwEJQDHia7Ilrv9K8eFf2hYPUUIpQ4HfzLES3yNcsabQHqzECcZYmytW5QyaRDlyL9iLhwTp1EiJDJa7Ow6UWIlsHBWXaKs44kRRdROqGy3QqjkMjOnehUvENwknXmmxRqgVtOsRJVYii5p6GypqeHAckBLnUzMSpIcIW8UNjDZAr1HL3BuiREraKq4tSqxEFsJjNrGRagTqKQxJR45Bk24Dk04IJ1+UWAkBJC28T/yTY35VQas9iXLwPGuzT6/8W8W1RYmVyELKreKI/2GMtV6NSPSoDfEvZysbUW+yQq9RoX9fZc3BU2IlsujJikvE95yvNaG83gy1isPgWEqspKOsNsVDNBIUD5GSsnpDeoW6Rh5lVfa9v+hWMHFGGDT79w1BgJYWLpGOWvdgVd6JFyVW0uPyWuZXoyPUCA6kECQdtd24mhBnshRYylBAoxrpcXQbmLjS+hiF8q5GiPzsc/DKfNQGoMRKZEALl4grSn2MgijDuaom1DS1FA+JVl4dZ0qspMfRozakKxfqTCitbQbH2SvqEHKx7JapgktjDNBplJfGlNcj4tcam3mUlNsXLlGNYOKMMGimRgYjWE/TBaSjTAXPrwKUWEkPE3a0iQxVITSEwo901PrQvzIHTSI/YX51iEJjhEY20qMcO9rQ/CrpROY5ZV+NEHn5QvEQSqykRwnzq5dQYiWdEB61GUIrgokT52tNqGhQdvEQSqykR9GjNqQr1Y1mnKtqAqCsjauJcgjzqwOilFs8hBIr6THNZh7FF1oSKy1cIk4I86vJfYIQGkgxQjoSbgMr+cSLEivpMWdLrOAZEGZQIdyozDNNIi8lV9MhypCt4FKGAkqspMecKaL5VdI14TYfza+SzggrgocpdEUwQImV9KC8lvnVlDiaXyXOCbeClTxoEvm0LR6i1IVLACVW0oMcFZfoipU4UddsQV55AwBlz58R+WT5SPEQSqykR5gtDIXnhRXBlFhJR8darlbjwwIREayTuTdEibJ9pIY0JVbSIwpKrbDxgDGYQ2QohR3pyDG/qtCH/on8fGF+FaDESnqIcBs4JU4LjuNk7g1RIppfJa5k+sCjNgAlVtJDaKs44gptFUe6UtVgRlG1vXhImsLvalBiJT2CtoojXWk0W3HmQj0AetSGOOdLxUMosZJuZ7EynC2hUoakc8dLasEzIMqgR5QhQO7uEAXKKvadOxqUWEm3O1dmhdUGBAVwiI6gikukI19ZlELko/Q9WNuixKpgBaUWvPllLc7Uyt0T7zjmV2nhkuS+P1GGjadVKG6Ze/JVjvqvlFglxRjDBz/l46t8FUwWm9zd8UrrozbKnyqgxKpQBaUWLH+vErsONePt42pk55nl7pLHcovpNnB3+N+RYizceBj7Lqgw+8NfUVLju8k1S9jcXOGLUnwJYwx/3XIcL287hZ0lKizadAQmq28m17pmC/IrGgHQFSvx0LkyK1a8X4XaBgadFrDwHF7aUIPj+b6ZXGlFsPS+zSzBkk8Pg2eAVsVQWNWEu9/9Bedrm+Xummgmiw055+sA+Mb8mS9gjOHlb0/gw5/yAAAajmFXTjkWbvgNZisvc+/EO1Zij4/4sECE+0DxEEqsClN0wYrl71Wipp5HSqwGbz7RB4NCeZjMDC98WIWTZ30rudpsDPkllFillJ5disc3HYKNZ7h1ZCyWjrAhPiwA+RWNuPu9X1BW51vJ9eT5elh5hj7BOsSG0sIlbzHG8Lf0k/j37lwAwMobB+OhwTz0GhW+P1GGxzf9BovNt5KrsCLYF24DA5RYFaWk3IoV71Wiuo5HUowGyx+IQLhBjQWX8hiaqkVzS3LNKfSd5FpcboPZAgToOMT2oYVL3tpx4jwWbfwNVp7h5pFxeOnWoegTAKyfPwZxoQHIvdCAe9/bh/J6k9xddVt2iX3QHBIfSnPwEli9PQf/+uEMAGDlTUNwz+WJuDSU4e17RkKnVuG77PNY8slhWH0ouWYXt9zR8IHbwAAlVsU4X2lPqpW1PBKiNFjxQDgMwfaPR6cGnrk3DGkpWjSaGP76QRXOnLPI3GP35JYIFZc0UKlo0PTGrlMX8Mj632CxMcwcHovXbh8BdcvvNDE8CBsfHI9oox45ZfWY/f4+VDb4xglY66DpG1cjSvbP73Pw9+9zAAB/mjkYcyf2c3xv0oBI/HvOaGjVHL7JLMGTnx2BjWcy9VQc4eTLV6YKKLEqQFmVDcvfrUR5DY/4vmqsfDAcoSHtr+4CdByemxeOQclaNDQzPP9BJfKKlZ9c84qp8L4Ufswpx4PrfoXZxuP6ITFYfedIaNTt/3z7RQZj04Pj0degx4nSOsx+fx+qG5WfXI/52KCpVG/vPIPXMk4BAJ69YRAemJTa4T3XDIrCW/eOhkbFYfORYvzxc+UnV5MNyG3Z9chXYoQSq8zKq21Y8V4lLlTziI1UY+WDEQgzOL9lGqhXYdn94RiYpEV9E8PK9ytxtlTZydWxIpgqLnns5zMVeGDdAZitPKYMjsI/7h4Frdr5n25q3xBsenA8IkN0OFZSizkf7EdNk3JjxMoDJ0rtV6z0DKvn3t+Ti1e2nQAA/GHaQDxy1SWdvndqWjTevGcU1CoOXx4qwrNfHAWv4ORa1AAwBkQb9ehr0MvdHbdQYpVRRY0Ny9+rxPlKG6Ij7Ek13Nj1PGRQgAp/mh+O/gla1DUyrHivyrEdm9LwDMijikte2Z9XiflrDqDZwuOaS/viX/deBp2m6z/b/lEh2PjgeEQE65BZVIP7PtyP2mZlJtfSJsBiYzAGaJAQHih3d3zSRz/l4YVvjgMAlkwZgMeuHeCyzfVDY/H3u0ZCxQGfHzyHZV9nKja5nmuwT3f4yvwqQIlVNlV19ivV0gobosLVWPlQBPqEure4JzhAhT/PD0dqvAa1DTxWvFeJc2XKS67lzUCz2f7IUHxfSqxiHTxbifs/2o8miw2TBkTi7dmjode4FyMDow3YsGAcwoK0OFJYjXkf7ke9SXkx4hg0aeGSR9b/nI+V/zsGAHjsmv5YfJ3rpCqYNTwOb9xpT66b9hfiL5uzwJjykmthS4z4UvEQSqwyqKm3J9Xichsiw1RY+WA4+oaJWzEbEqTCX+ZHoF+sBtX1fMvPU9bAKQya/WK1UKtp0BTjUEEV5n54AA1mG67o3wfv3TcGAVpxMZIWZ8SGBeNgDNDgt4Jq3P/RfjQoLLmeq7fHBd0GFm/jvgL8+b/ZAICHr0rFU9MGij45uXlkPP7vdyPAccCGXwqw8n/HFJdchXHEl2KEEmsPq23gseL9KpwrsyHCqMLKByMQFeHZ1ZwhWIW/LIhAYrQGVXV8yxWwcgbOwpZBk+ZXxTl6rhr3tVxhjkuJwPv3jRWdVAVD40Ox4YFxMARocCC/CgvWHkCTWTnVd3zxakQJPvu1EM99lQkAWHBlCp69fpDHV/z/b3QCXrltOABgzd58rNp6XDHJtdliQ6m94JLPPMMKUGLtUXWNPJ5/vxIFpVaEG1RY+VAEYvp4d4s0NESFFQ+EI76vGhU1PJa/V4mySmUk10L7Qj6k0Pyq27KKajDng/2oa7ZibL9wfDhvLAJ13j3/OzwhDOvmX44QvQa/5FbigXUH0Cx33VjeBj53D0Y178V41TEMjQmWtz8+5MvfzuGZL44CAOZN7Ic/zRzs9W30O8YmYtWtwwAA7+3Jw6vfnVREcj15vh48OEQEaxFj9J3iIX6ZWN966y2kpKQgICAAo0ePxp49e+TuEuqbePsjMiVWhIWosOLBCMRFSpNwwgz2hU9xkWqUV/NY/n4VyqvlHTgZY45bOEq8YlVijJwsrcOcD/ahpsmCUUlh+Oj+yxGslyZGRiWFY839YxGkU+On0xV4aP1B+ZLrsc3A6qHQb7oVb2j+hU90LyDl4/H21xVCifEBAP89XIQ/fH4EjAH3jkvC8hvTJJubvmdcEp6/eQgA+6M7b7Q8uiMnoeLSkFijT83B+11i/fTTT7FkyRIsW7YMhw4dwqRJk3DDDTegoKBAtj41WYEX1lYjt8gKY7AKyx8MR0KUtFdx4UY1VjwYgZg+apRV2lcbV9TKl1zLqnk02Tho1EBitLKuWJUYIyWNwH1rfkVVowUjEkKxtuUKU0pj+kXgo3ljEahVY/epC1j48W8w9XTd2GObgc/uA2qL273M1ZbYX1dAclVifADAt1mlePKzI+AZcNfYRPz15qGSJ5v7JvTDX2alAQD+seM0/r49R9KfL5bjGWcfKx4iOrHOmzcPu3fv7o6+SOL111/HggUL8MADD2Dw4MFYvXo1EhMT8fbbb8vSnyYTj3eOq3GmyApDEIflD4QjKbp7ruD6hKpb5mzVKK2wYeWH1aiRoT7AinkrkL75AAAgKVoDrUZZZ5pSxghjDE3WJpiZGU3WJjRaGkX/yy4tx7+O21DZ2IC0eD3+PXc4NGqLW23FHntYYiDemjMEATordpw8h8c+3Y9Gm+d9F3V8Uz0atz2DRg6Y/XUT0s/a0MhxLf9g///bnrW/T8Sxpb5lqbQxBACOVHB44vNM2HiG341OwKpbh3VbJbP5V6Zg2YzBAIA3tp/CO7tyu+U47hB2PUrzscQq+pS4rq4O06ZNQ2JiIu6//37MnTsX8fHx3dE30cxmMw4ePIhnn3223evTpk3D3r17nbYxmUwwmVrrqtbW2j9Ii8UCi8UCq8U+X8lbxJ/ZM8bwyoYa5NdzCA7g8Od5YUiKVIv6WcJ73W0TEcxh+bwwLP+gCiUVNvyrUY3nr7IiIlz81Y/YYwsaahrw1sKnwIVEInL69Si96f8hKj7Ko2NbLVZYIP4ZTIvFeRuxMeIqPpqsTbjisysAAM9/9rzofjpcAhgAFAKY+qX45mKPrb0E0AI4COBgHbDKm76LOX4fDdAnEQWaAmzcUAdtHy3CrgxD+JXh0Ia3nHB+MkHUsa9tvhZGTtzAK1V8AK5jpO3x6ix10IgcdvedrsTaHBVsjGHWiCgsu6kf6m11gJs3pIQxTMyx75wQiXpLP/w9Ix+vbT+Nm5M5TPKg754cW1DfbMXJ0noAQL++KtRaxG9MLRy/s8+7K560EYgebb/44gtUVFRgw4YNWLNmDZYvX44pU6ZgwYIFuPnmm6HVyjefVl5eDpvNhujo6HavR0dHo7S01Gmbl156CStXruzwenp6OoKCghxfl2Y4b9+V4kYgO18DLcfw6AAr9IcuoPiQ6B/j0fEfTQX+ma3G+SYOy9+uwONDbAjx8KMRe+wrZi7B6aQHUJ+9E+d+2o6b+6/DiBEjMGXKFFx++eXQaNwPuz0Zns1tNTY2On1dbIy4ig8zU37JQCVKejwJ1norqvdWo/rHapR9XYaQtBCETw6HcZQRnIi7HDt27ICOE7eVmFTxAbg/hgCexfO6HBVsTIVh4TyuDSzG7m3Frhs5IfbYqQBmJHLYWqjGf8+qoVr3I66O9ezugNhjm2zA28fVsPIcwnUMZw4cQK4XF+gZGRmi23QWI+7waBKnT58+WLx4MRYvXoxDhw7hww8/xJw5cxASEoLZs2dj4cKFGDDA/QeVpXbxvANjrNO5iKVLl+LJJ590fF1bW4vExERMmzYNRqMRFosFGRkZmDR1EjRacb+uzYfOA0dOISkEuOdW8e0B+xnXnow9Hh1/9MQ6zH33EEqbOKwtDMX784chLMj97OrJsb/LvICPfzkBVWAops+4Ef/870s4nn0MG9ZuwD/+8Q8EhwTjznvuxAMPP4BLBnRedk049tSpUz06WauoqOjy++7GiKv4YIzh2uZrsWPHDky8dqLoz2jVljP472/ncU0cjxfmjhfd3mqxYu+OvR4dGwB2HSvH0i9OwsY4TB8aieW3DHAU9pf6+OqCfQj65L72Lw4EMFCPwyUarD9kxpp/F6LRYMT/u/cuzHtoHlL7d6x3e/GxZ0ydAZ1OXGKVKj4A1zEC2K/Y9mTsQczUGKi04mbgSv9eAcCGmdeHITFN/MpY3sKjNKPUo2PfDyAwvQ5f7GnCV/lqRAwNwfXjgly28+bYzWaGl9ZXI6/OgiA9hwUDrYidJr7vbY8/aeokGLQGUW1dxUhXvFodUVJSgvT0dKSnp0OtVmPGjBnIzs5GWloaXn31VTzxxBPe/HjRIiMjoVarO5xZlpWVdTgDFej1euj1HetParXadgO6QWsQPcCfOV8IAEgIZh61B+C4DepJ+yExgVg0xIb3Tgfh1PkGPLr2GDY+MB6hbiZXscfellWCZ/9zEjwD/t9lcbhSV4DGigbs/WEvdm7fCbVajZkzZiLneA4uH3F5lzEiHPviz8FdnbURGyPuxIeRM0LH6RAVGCW6r7mlOQDToV+wzaP2Fo3F42MDwK3DI3Dq6BmsydHgu8xaBGtL8X+/G+F2chVzfNZ/Buq0fRFiKkPbH19Sx2PPaQt2nLFCreIwc9bNyDuZh8mXTe46RlqOrdPpRP+3SxUfgHsxItwGVWlVohJEs5lHcYX9nm9qotaj5CIQe2zBnVNDUJPbgO1FKnywpR4arQrTRCRXMcc2mRle3ViNY/n2pPqneWEIPnrB474LNFqNZDHiDtE9tVgs+OKLLzBr1iwkJyfj888/xxNPPIGSkhKsXbsW6enpWL9+PZ5/3rs5G0/odDqMHj26w2V/RkYGJk6c2OP9yS6yzwkkhsj3PFh0ILD2/jHoE6xDdnEt5ny4r1uKsmccO4/HNto33755WBTG8Kew6sUX0L9/f4qRTpitPE62FKBPDJYvRoZFMLxxx3B7UfbfirD0S+mLsjPG8Nr2M/hj/T0AALMN+OKYBbM2NiJ5dT0+P2bFE+N1KPlxI9auWydbjCgpPgAgv8QKxoBQLUN4J5tzdDeO4zArkceNV9iT6b+/qsX2A57fJu2M2cLwyvoqZJ4xI0DH4U/zwzEgQXmP6rlD9BVrbGwseJ7H3Xffjf3792PkyJEd3jN9+nSEhYVJ0D3xnnzyScyZMwdjxozBhAkT8O6776KgoACPPPJIj/aD5xmyi2sA2K9Y5TSgpSj7Xe/+jKPnajD3w/1Yv+ByGAKkCdofTpRh4ccHYeUZbhoRh48fn4r1PI/x48fjp59+wtixYzu0oRgBTp2vg9nGwxigQYRe3qIe1w+Jxuo7R2LxJ4fw2a/noFGr8OIt0j3O8ffvc/DmD6cBXI6dI17DHXMeAc/bcPdQLfY/GIyRA5OA618G0m5ytJErRpQSHwCQ27LvcoKMJ+cAwHHAnOnB4AF881Mj3vmyFmoVh2tGS7NxgsXK8OqGKhzJMUOv5bDs/nBcmqzzaNGoEohOrG+88QZuv/12BAR0fq8/PDwceXl5XnXMU3feeScqKirw/PPPo6SkBEOHDsXWrVuRnJzco/3Iq2hAg9mGAK0KUQrYtOPSGAM+fmA87nn/FxwurMb9Hx3A2vneFyDYdeoCHt5w0L759rBYvH7HCIy1voFbbrkFO3bscHriBVCMAHCceA2JM4Ljmnv02M7cOCIONp7hic8OY+O+AmhUHFbeNMTr5Prmjhys3t66+fa1k2bijTotbh0TgxP7f8DQSdOB1MmAqv0VmVwxopT4AFq3XUxQQGEqjuNw/ywDbDyw7edG/Os/NVCrgMmjvBvgLFaGv31cjUMnzdBpgefmhSEtRdycudKIvhU8Z86cLpOqEixcuBD5+fkwmUw4ePAgJk+e3ON9yCqyD5qDYgxQSv35tkXZfz1bhfvXHECj2fMrpZ9Ol+Ohdb/CbOUxfUg0Vt9l33ybYsQ9WS1TBWmx4hZVdKdbRrUWZV/381n8dYt3dWPf2XUGf0vvuPn2nLlzoR94LYoiJoAlX9khqcpNCfEBALlF9itWOacK2uI4DgtuNGDauEAwBvzzsxr8dKTJ459ntTG8sakavx43QacBls4Nx9BLfGPP1a74XeUlpRBKcSmtYsjQ+FCsXzAOBr0G+/MqsWDNrx4VZf/5TAUWrD0AU8vm2/+8+7JON98mzmW1XLEqLUZ+NzoBL99mrxv74U95eOnbEx4l1/f35OLlb93bfJt0ZLYwFLZsB6mUxAoAKhWHB2824roxgeAZsPrTGvycKf6Oi83GsPqTGuzLNkGjBp6+LxzD+/t+UgUosXabzHP2QTMtVlmDJgCMSAzD2gX2knk/51bgofW/iqobeyC/EgvWitt8m7RntfE43lKubYjCEisA3Dk2CS/eOhQA8O7uXPyfyKLsazzYfJu0d7bUAp4HjMEcQhV2Z1Sl4vDIbUZcfVkAeB54Y1M19me7n1xtPMM/PrMnZI0aeHpOOEYN9I+kClBi7RaMMcfVyJA45dzma+uyNkXZ9+SU4+H1B2Gyuk6uB89WYd6H+9FoFr/5Nml15kIDmi08gnVqJEeIe3Shp9w7LtlRlP2tnWfwhpt1Y9f/chYrPNx8m7TKLbJfrabEaqHE+vMqFYeFvwvFpJEBsPHAaxur8etx18nVxjP86/Ma/HikGWoV8Id7wzB6kP8kVYASa7corGxCXbMVOrUK/fuGyN2dTo3pF4EP541FgFaFXacuYOGG32Duoij74cJqzP1wPxrMNky8xLPNt4mdMAc/JC6022q+SuG+Cf3wZ6Eo+/c5+Of3XSfXTfsL8OevswB4vvk2scstts+vpsYpaxOLttQqDo/fHoqJwwNgtQH/t6Eah06aOn0/zzO880Utdh1qhkoFPHlPGMZ6UPRC6SixdgPhanVQrEHxt0jHp/bBh3PHQq9R4fsTZXh802+w2Dom18xzNZjzwb7WzbfnUlL1hmN+1Qc2+F5wZQqW3jAIAPBaxim8vfOM0/d9LuHm2wTIK1J+YgUAtZrD4jtDMW6IHlYb8Mr6KhzJ6ZhceZ7h3a9rseNgE1QcsOSuUIwf6n9JFaDE2i3aXo34gon9I/HefWOg06jwXfZ5LPnkMKxtkuuxklrM/mBfu823g3TK/mNXOqF4yNB45c2vOvPwVZfgj9MvBQC8su0E3t/TfseT/x4uxtNfHAVj0m2+3ZtZrAxnS1tuBStwP+OLadQcnrg7DGMH62GxAi+vq0LWmdbkyhjDB5vrkLHfnlR/f2corhiugOcQuwkl1m6QWSRcjfjGoAkAkwf2xb/njIZOrcI3mSV44rMjsNp4FDcA89Yc7JbNt3urtsVDfOGKVbDomv54YspAAMAL3xzHRz/ZnzH9rZzD019mgTFg9nhpN9/urQrPW2G1AcEBHKLCfGOY1mo4PHVvGC67VA+zBVi1phrH881gDFjzbT22/dIIjgMW3R6KSSP9N6kCXtYKJh0xxto8auM7gyYAXHNpFN669zI8+vFB/O9IMZrNVvyco0a9tfs23+6N2hYPSY0MBuPl25BerMVTBsDK8/jnjtNY+b9jyCqqxlc5KvCwb779/E3Sb77dGznmV+O1PvX71Go4/HF2GF5eZ6+i9OL6GgwxqPBbhf1Z10dvM+Lqy/w7qQJ0xSq5kppmVDaYoVFxuDRGmSuCuzIlLRr/vPsyaFQcMo6Xod7KYUicAevmj4NRohKIvZ0wVZAWa4TGB5/9fXLqQDx6tf2Z1C9+KwYPDreNiuvWzbd7m7yWFcGp8b73N6fTcnjmvnAM66+DyczwW4U9xh++1YjrxipzBbzUfO+vWuGEQXNAtMFnF/dcPzQG/7h7FLRqDgnBDGvmjnF7RxzimuOOhg/dBm6L4zg8Pf1SPHyVvYrS5X15rLplCCVVCbVesfrmHSK9lsPS+8IxLFULFRgemBUiekccX+abn5qCCYlVadV0xJoxLBbjkkOxe0eGqD1ciWtC8RBfmypoi+M4LL1hMB6YmIy9OzNE7eFKumazMeSXCCuCffdvT6/j8Od5YTi9uQQDelFSBeiKVXJZPn410pYxUAsaL6XVrniIDy1u6wyddEmv6IIVZgsQqOcQ08c373oJOI5DcC8MEUqsEnNcsfpBYiXSa1s8ZGC0783Bk+7nqLgUp6Hb6z6KEquEymqbUVZngooDBitoxxKiHG2Lh9CmBcSZ1opLvfBSz0/QX7aEhEHzkr4hVECBOJXpY8VDSM8TtopL8cEVwcSOEquEsor8Z36VdI8sHyweQnoOzzPkFQuP2tDJua+ixCohml8lXWlbPGQYxQhxoqTChmYzg04LxPelxOqrKLFKSKmbmxNlaFs8hBYuEWcct4FjtfQIkw+jxCqRygYziqrtZbvSKLESJzL9oHgI6V40v+ofKLFKRLgNnBIZDAOV/iNOZPtJ8RDSfYRHbZS+VRzpGiVWiTge+qdBk3TCn4qHEOkxxtoV3ye+ixKrRIT9NWlRCukMLW4jXTlfaUNjM4NGDSRG0xWrL6PEKpFMGjRJF6h4CHFFuA2cHKuBRk0Ll3wZJVYJ1DRaUFDZCIBuBRPnqHgIcYUqLvkPSqwSyC6xD5oJ4YEIC9LJ3BuiRFQ8hLgirAim+VXfR4lVAjS/Slyh+VXSFcYY8mjhkt+gxCoBml8lrvjLPr2ke5TX8KhtYFCrgCRauOTzKLFKgB61IV2pqDehuKYZABUPIc4Jt4ETozXQaWnhkq+jxOqlepMVeeUNAOiKlTgnlLqk4iGkM475VVq45BcosXrpeEktGANiQwMQGaKXuztEgYQ7GnTiRTrj2NEmgW4D+wNKrF7KPEf7a5Ku0fwqceUMXbH6FUqsXmq9GqFBkzhHj9qQrlTV2lBdx0PF2YtDEN9HidVLwqM2Q+mKlThBxUOIK0JhiLi+GgToaEj2B/QpeqHJbENOWR0AYFgCJVbSkVA8JDGCiocQ54RShpfE09Wqv6DE6oXjpbXgGRAZokeUgRYukY5a51fpxIs4d4YqLvkdSqxecOyvGW8Ex9GzZ6Qjml8lruQJm5vTwiW/QYnVC1k0v0pcoOIhpCs19TzKa3gAQAptbu43KLF6gZ5PJF2h4iHEFaE+cFykGkEBNBz7C/okPWSy2nDqvH3hEj1qQ5w5VkzFQ0jXhIpLKTS/6lcosXroVGk9LDaGsCAt4sMC5e4OUSBh4RIVDyGdoT1Y/RMlVg85bgPHhdLCJeIUFQ8hrgiP2qTSozZ+hRKrh2h/TeIK7dNLulLfyON8pQ0AXbH6G59JrC+++CImTpyIoKAghIWFOX1PQUEBbrzxRgQHByMyMhK///3vYTabu6U/WUV0NaI0bWMkNTXV6Xt6KkbaFg+hky/lEGIkMTGx0/f0VIwIC5eiItQICfKZoZi4wWc+TbPZjNtvvx2PPvqo0+/bbDbMnDkTDQ0N+PHHH/HJJ5/giy++wFNPPSV5Xyw2HsdLWwZNmj9TDCXFCBUPUSYhRubNm+f0+z0ZI7nCjjb0mI3f8ZlPdOXKlQCANWvWOP1+eno6jh07hsLCQsTFxQEAXnvtNcybNw8vvvgijEbprixPl9XDbOVh0GuQFBEk2c8l3lFSjFDxEGUSYuTNN990+v2ejJFcqrjkt3wmsbry888/Y+jQoY4/BgCYPn06TCYTDh48iGuuucZpO5PJBJPJ5Pi6ttY+L2axWBz/hK8FRwoqAQBpcQbYbFbYbJ33y1l7Mbxp31uPbevkA/EkRlzFR2d9PXquGgCQFmNw+d/gq79nb9v3phixWuxXp7yFd7zP8ahNtLrd6xcTvtfVe7oiZ3ul9N1qscICcXHiaVwCfpRYS0tLER0d3e618PBw6HQ6lJaWdtrupZdecpzFtpWeno6goNar0YyMDMf//iZPBUCFwOYKbN261a3+tW3vCW/a97ZjHzlyBFartcPrnsSIu/FxcV/3HlcD4NBckoOtW0+51W9f+z1L1V6OYx8/ftzp690dI6UZ9p/RbANKyu0xEnisAsU5rvsstPWUnO3l7vuejD2i2zQ2Nnp8PFkT64oVK5wGZFsHDhzAmDFj3Pp5zm65Mca6vBW3dOlSPPnkk46va2trkZiYiGnTpsFoNMJisSAjIwNTp06FVmu/ZbP2vf0AqjHrihGYMSK2yz45ay+GN+394dj79+/HqlWrunzvzz//jNGjRzu+Li8vh0bjPLTFxoir+GjbV+G/1WTl8dS+7wEw3Hfj1S6fc1bC77m3xUh+fn6n7+2OGKmz1GFPxh7ETI2BSqvC8Xwz2P5q9DGqcOnNcU5/roC38CjNKHW0FUvO9krp+6Spk2DQGkS1raioEH08gayJ9bHHHsNdd93V5Xv69evn1s+KiYnBvn372r1WVVUFi8XS4Qy0Lb1eD72+4+ISrVbb7o9d+NrGMxwvsS9cGpkU7vaAcPHPE8ub9r587Mceewxz5szp8j39+vVrdwy1Wu30fZ7EiLvx0fa1E+drYOXtxUOSIw1uz7H66mfsbfveECOalqFWpVVBpVUh73zLYzbxWrcThtDWU3K2l7vvGq1GdIx5E5OyJtbIyEhERkZK8rMmTJiAF198ESUlJYiNtV9FpqenQ6/XtztT9VZeeT2aLDYE6dRIiQyR7OcS5yIjIx2fp7d6KkaEwhDD4ql4SE/wxRgRHrWhhUv+yWcetykoKMDhw4dRUFAAm82Gw4cP4/Dhw6ivrwcATJs2DWlpaZgzZw4OHTqE77//Hn/4wx/w4IMPSrqST9jRJi3WCLWKBk0luThGAODo0aMyxAiVMlQqIUbOnTsHwB4fcowjVHHJv/nMp/qXv/wFa9eudXw9atQoAMAPP/yAq6++Gmq1Gt988w0WLlyIK664AoGBgbjnnnvwt7/9TdJ+ZFLFJcW6OEYAYNKkST0eI1Q8RLkujpFJkyYB6NlxxGRmOFcmJFa6YvVHPpNY16xZ0+nziYKkpCRs2bKlW/vRejVCg6bStI2RiooKREZGoqampt2VRnfHCBUPUTYhRjqLD6D7Y+RsqQU8A8JCVAg3+MxNQyICfaoi8DzDseKW+q8JNGiSjhzFQwI0SO5DxUNIR623gbU0B++nKLGKUFDZiDqTFXqNCv370sIl0lHbOxo0aBJnWisu+cwNQyISJVYRhPnVQbFGaNT0qyMdOeZX6TYw6YQjsdKONn6LsoMIrXuw0vwqcS6rZaqAFrcRZyxWhoLz9lvBKbRwyW9RYhWB9tckXbG1mYOnxEqcKThvhY0HDEEc+obR8Ouv6JN1E2Os9YqVBk3iRF55Q5viIcFyd4coUF4JLVzqDSixuqmouhnVjRZo1RwGRNPCJdJRdjEVDyFdy22puJRC86t+jRKrm4RBc2C0AXqN8zqjpHfLbqkhTXc0SGccm5vTimC/RonVTdklNL9KupZN86ukCzYejoVLl9DCJb9GidVNx4rtVyNDaNAkTvAMOOa4YqVV46Sj0ibAYgWCAjhER9BdL39GidUNjLV5jIIetSFOlDcD9VQ8hHShsME+754SRwuX/B0lVjfUmIGKBjPUKg6DYymxko7OtQyaVDyEdEaIkdQ4ml/1dzQCuEH4gxgQFYIALd3CIR0JMTKMbgOTTggxckkCza/6O0qsbihssP9/2l+TdEaIESplSJyx8QxFLTFCj9r4P0qsbhDONGlRCnGGMYZz9UKMUGIlHeWXN8LMc9DrOMRG0l0vf0c3+91Q2ECDJulcUXUzGm0cFQ8hzvE2VGTuwk2qTOgjIqFGJABKrv6MEqsL5fUm1Jg5cJy9og4hF2stHhJCxUNIe8c2A9uewZTaYkzRAagGzKv7ovD6RahOmyx370g3oVvBLgjPJqb0CUawns5DSEdC8ZAhdOJF2jqxFfjsPqC2uN3L2toLSP1sBcKO7ZapY6S7UaZwIatlR5shcQaZe0KUylEjmJ5xJm1t/wsABgag6aLnVhmAyG3/wvlLxgCqru9y8FYeZmaGyWqCyoNrITnbK6XvjDHRbb1BidUFx9UIDZrECfuuR8IVK518kTbqSgE9hyaOw7h+ic7f88lC93/eZ172R872Mvd9sm0yQtFza2ToVrALMcYA9NEzqrhEnGqy2DAsLhShWoZBMZRYCVEiT652vUFXrC78eeYgjOZyMS4lQu6uEAUK0mnw/n2XYevWrVQ8hDgVyBj25Rc6/Z7p3o/BJ4/vsr3VasXu73Zj8vTJ0GjED9lytldK30PVPftEByVWQgjpDoYYwFwGDgxBHeb4OMAYh6DU613OsVpggY7TIUITAa1WfHEJOdsrpe89XZuZbgUTQkh3mPJ8y/+4eFBv+fr6l10mVeKbKLESQkh3GDQDuGMdYIxt/7oxzv562k3y9It0O7oVTAgh3SXtJmDQTFhzd+Pwnu8wctJ0aFIn05Wqn6MrVkII6U4qNVjylSiKmACWfCUl1V6ArlgvIjxIXFtrfzbRYrGgsbERtbW1nk2ey9i+tx4bAOrq7BWzpH4w/OL4AHr379lX+95d8dH2Z0oVI/QZ+16MUGK9iPDLTEzs5IFu4lMqKioQGirdUnuKD/8idXwAFCP+xpMY4VhP13pSOJ7nUVxcDIPBAI7jUFtbi8TERBQWFsJoFF8kQs72vfXYAFBTU4OkpCRUVVUhLCxMdPvOXBwfUvTVl3/Pvtr37ooPQPoYoc/Y92KErlgvolKpkJCQ0OF1o9Ho0QerhPa99diA/fOUUmfxAfTu37Ov9l3q+BB+ZnfECH3GvhMjtHiJEEIIkRAlVkIIIURClFhd0Ov1WL58OfR6vc+1763HlqJ9Tx6rt/6effnYPXk8+ox9r++0eIkQQgiREF2xEkIIIRKixEoIIYRIiBIrIYQQIiFKrIQQQoiEKLF24qWXXsLYsWNhMBgQFRWFW265BSdPnnS7/dtvv43hw4c7HkyeMGECvv32W4/7wnEclixZ4tb7V6xYAY7j2v2LiYlx+3hFRUWYPXs2+vTpg6CgIIwcORIHDx50q22/fv06HJvjOCxatMit9larFX/605+QkpKCwMBApKam4vnnnwfP8261r6urw5IlS5CcnIzAwEBMnDgRBw4ccKutWN7EiJTxIfSlN8SIt/EB9FyM9OYxBOjlMcKIU9OnT2cfffQRy8rKYocPH2YzZ85kSUlJrL6+3q32mzdvZt988w07efIkO3nyJHvuueeYVqtlWVlZovqxf/9+1q9fPzZ8+HC2ePFit9osX76cDRkyhJWUlDj+lZWVudW2srKSJScns3nz5rF9+/axvLw8tn37dnb69Gm32peVlbU7bkZGBgPAfvjhB7fav/DCC6xPnz5sy5YtLC8vj33++ecsJCSErV692q32d9xxB0tLS2O7du1iOTk5bPny5cxoNLJz58651V4Mb2JEqvhgrHfFiLfxwVjPxUhvHUMYoxihxOqmsrIyBoDt2rXL458RHh7O3n//fbffX1dXxwYMGMAyMjLYVVddJeqPYsSIER718ZlnnmFXXnmlR22dWbx4MbvkkksYz/NuvX/mzJls/vz57V677bbb2OzZs122bWxsZGq1mm3ZsqXd6yNGjGDLli1zv9Me8jZGxMYHY70vRryJD8bkjZHeMoYwRjFCt4LdVFNTAwCIiIgQ3dZms+GTTz5BQ0MDJkyY4Ha7RYsWYebMmZgyZYroY+bk5CAuLg4pKSm46667kJub61a7zZs3Y8yYMbj99tsRFRWFUaNG4b333hN9fAAwm83YsGED5s+f7yhG7sqVV16J77//HqdOnQIAHDlyBD/++CNmzJjhsq3VaoXNZkNAQEC71wMDA/Hjjz+K/w8QydMY8TQ+gN4XI97EByBvjPSWMQSgGKErVjfwPM9uvPFG0WdgR48eZcHBwUytVrPQ0FD2zTffuN1206ZNbOjQoaypqYkxxkSdbW7dupX95z//YUePHnWcqUZHR7Py8nKXbfV6PdPr9Wzp0qXst99+Y++88w4LCAhga9eudbvvgk8//ZSp1WpWVFTkdhue59mzzz7LOI5jGo2GcRzHVq1a5Xb7CRMmsKuuuooVFRUxq9XK1q9fzziOYwMHDhTdfzE8iRFv4oOx3hkj3sYHY/LESG8aQxijGKHE6oaFCxey5ORkVlhYKKqdyWRiOTk57MCBA+zZZ59lkZGRLDs722W7goICFhUVxQ4fPux4TcwfxcXq6+tZdHQ0e+2111y+V6vVsgkTJrR77fHHH2fjx48Xfdxp06axWbNmiWqzadMmlpCQwDZt2sSOHj3K1q1bxyIiItiaNWvcan/69Gk2efJkBoCp1Wo2duxYdu+997LBgweL7r8YnsSIp/HBWO+NEW/jgzF5YqQ3jSGMUYxQYnXhscceYwkJCSw3N9frn3Xdddexhx56yOX7vvrqK8cHKvwDwDiOY2q1mlmtVtHHnjJlCnvkkUdcvi8pKYktWLCg3WtvvfUWi4uLE3W8/Px8plKp2Ndffy2qXUJCAnvzzTfbvfbXv/6VXXrppaJ+Tn19PSsuLmaM2RcizJgxQ1R7MaSKEXfjg7HeGyNSxQdjPRcjvW0MYYxihPZj7QRjDI8//ji++uor7Ny5EykpKZL8TJPJ5PJ91113HTIzM9u9dv/992PQoEF45plnoFarRR3XZDLh+PHjmDRpksv3XnHFFR0eCTh16hSSk5NFHfOjjz5CVFQUZs6cKapdY2Njh/0P1Wq1qKXyABAcHIzg4GBUVVXhu+++w6uvviqqvTukjhF34wPovTEiVXwA3R8jvXUMAShG6Iq1E48++igLDQ1lO3fubLfsu7Gx0a32S5cuZbt372Z5eXns6NGj7LnnnmMqlYqlp6d71B8xt3GeeuoptnPnTpabm8t++eUXNmvWLGYwGFh+fr7Ltvv372cajYa9+OKLLCcnh3388ccsKCiIbdiwwe2+2mw2lpSUxJ555hm32wjmzp3L4uPjHUvlv/zySxYZGcmefvppt9pv27aNffvttyw3N5elp6ezESNGsMsvv5yZzWbRfXHFmxiROj4Y6x0x4m18MNZzMdJbxxDGKEYosXYCgNN/H330kVvt58+fz5KTk5lOp2N9+/Zl1113XY8NmnfeeSeLjY1lWq2WxcXFsdtuu83tuTvGGPvf//7Hhg4dyvR6PRs0aBB79913RfX1u+++YwDYyZMnRbVjjLHa2lq2ePFilpSUxAICAlhqaipbtmwZM5lMbrX/9NNPWWpqKtPpdCwmJoYtWrSIVVdXi+6HO7yJEanjg7HeESPexgdjPRcjvXkMYax3xwhtG0cIIYRIiJ5jJYQQQiREiZUQQgiRECVWQgghREKUWAkhhBAJUWIlhBBCJESJlRBCCJEQJVZCCCFEQpRYCSGEEAlRYiWEEEIkRImVEEIIkRAl1l7iwoULiImJwapVqxyv7du3DzqdDunp6TL2jCgFxQjpCsWH+6hWcC+ydetW3HLLLdi7dy8GDRqEUaNGYebMmVi9erXcXSMKQTFCukLx4R5KrL3MokWLsH37dowdOxZHjhzBgQMHEBAQIHe3iIJQjJCuUHy4Rom1l2lqasLQoUNRWFiIX3/9FcOHD5e7S0RhKEZIVyg+XKM51l4mNzcXxcXF4HkeZ8+elbs7RIEoRkhXKD5coyvWXsRsNuPyyy/HyJEjMWjQILz++uvIzMxEdHS03F0jCkExQrpC8eEeSqy9yB//+Ef85z//wZEjRxASEoJrrrkGBoMBW7ZskbtrRCEoRkhXKD7cxEiv8MMPPzCNRsP27NnjeO3s2bMsNDSUvfXWWzL2jCgFxQjpCsWH++iKlRBCCJEQLV4ihBBCJESJlRBCCJEQJVZCCCFEQpRYCSGEEAlRYiWEEEIkRImVEEIIkRAlVkIIIURClFgJIYQQCVFiJYQQQiREiZUQQgiRECVWQgghREKUWAkhhBAJ/X8ilYbnSAcGCAAAAABJRU5ErkJggg==",
"text/plain": [
"<Figure size 500x500 with 6 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"c = '#cfc'\n",
"\n",
"plt.figure(figsize=(5, 5))\n",
"for i in range(6):\n",
" rx = rnd.randint(a, b)\n",
" ry = f(rx)\n",
" xr = [a, b]\n",
" yr = [ry, ry]\n",
" y2 = [0, 0]\n",
" \n",
" plt.subplot(2, 3, i+1)\n",
" plt.plot(xx,y)\n",
" plt.plot(rx, ry, 'o')\n",
" plt.plot(xr, yr, '-')\n",
" \n",
" if yr[0] > 0:\n",
" plt.fill_between(xr, yr, y2, color=c)\n",
" else:\n",
" plt.fill_between(xr, y2, yr, color=c)\n",
" \n",
" plt.xticks(range(a, b + 2))\n",
" plt.xlabel('x')\n",
" plt.ylabel('y')\n",
" plt.grid()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "6d951ea1",
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.11.4"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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