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Поляков Антон ИП 214 #9

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315 changes: 315 additions & 0 deletions practices/pr2.ipynb
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{
"cells": [
{
"cell_type": "markdown",
"id": "97f2c1f9-7408-4883-941a-28cf1fbda1d6",
"metadata": {},
"source": [
"# Задача 3.0. "
]
},
{
"cell_type": "markdown",
"id": "b1f5fba4-0929-494a-8449-8f52968565d1",
"metadata": {},
"source": [
"## а)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "2ba071cb-e1d8-4b78-a743-58947eb0f742",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Последовательность чисел-градин для n=27: [27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, 322, 161, 484, 242, 121, 364, 182, 91, 274, 137, 412, 206, 103, 310, 155, 466, 233, 700, 350, 175, 526, 263, 790, 395, 1186, 593, 1780, 890, 445, 1336, 668, 334, 167, 502, 251, 754, 377, 1132, 566, 283, 850, 425, 1276, 638, 319, 958, 479, 1438, 719, 2158, 1079, 3238, 1619, 4858, 2429, 7288, 3644, 1822, 911, 2734, 1367, 4102, 2051, 6154, 3077, 9232, 4616, 2308, 1154, 577, 1732, 866, 433, 1300, 650, 325, 976, 488, 244, 122, 61, 184, 92, 46, 23, 70, 35, 106, 53, 160, 80, 40, 20, 10, 5, 16, 8, 4, 2, 1]\n"
]
}
],
"source": [
"def hailstone_sequence(n):\n",
" sequence = [n]\n",
" while n != 1:\n",
" if n % 2 == 0:\n",
" n = n // 2\n",
" else:\n",
" n = 3 * n + 1\n",
" sequence.append(n)\n",
" return sequence\n",
"\n",
"# Пример для числа 27\n",
"sequence = hailstone_sequence(27)\n",
"print(\"Последовательность чисел-градин для n=27:\", sequence)"
]
},
{
"cell_type": "markdown",
"id": "ef3122d4-4b99-4579-ace0-73235a48bea0",
"metadata": {},
"source": [
"## б)"
]
},
{
"cell_type": "code",
"execution_count": 15,
"id": "87b768d7-fac6-4a8d-a109-7072e36480e3",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Время останова процесса для n=27: 111\n"
]
}
],
"source": [
"def hailstone_stopping_time(n):\n",
" count = 0\n",
" while n != 1:\n",
" count += 1\n",
" if n % 2 == 0:\n",
" n = n // 2\n",
" else:\n",
" n = 3 * n + 1\n",
" return count\n",
"\n",
"# Пример для числа 27\n",
"stopping_time = hailstone_stopping_time(27)\n",
"print(\"Время останова процесса для n=27:\", stopping_time)"
]
},
{
"cell_type": "markdown",
"id": "ce1c8d0f-fd4a-4da7-8534-754c39f02389",
"metadata": {},
"source": [
"## Задача 3.1."
]
},
{
"cell_type": "code",
"execution_count": 18,
"id": "7a3f45c6-3e92-4de2-9af5-2086cdc0bfc7",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Ошибка: Укажите одно положительное целое число в командной строке.\n"
]
}
],
"source": [
"import sys\n",
"\n",
"def hailstone_sequence(n):\n",
" sequence = [n]\n",
" while n != 1:\n",
" if n % 2 == 0:\n",
" n = n // 2\n",
" else:\n",
" n = 3 * n + 1\n",
" sequence.append(n)\n",
" return sequence\n",
"\n",
"if __name__ == \"__main__\":\n",
" if len(sys.argv) != 2:\n",
" print(\"Ошибка: Укажите одно положительное целое число в командной строке.\")\n",
" else:\n",
" try:\n",
" n = int(sys.argv[1])\n",
" if n > 0:\n",
" sequence = hailstone_sequence(n)\n",
" print(\"Последовательность чисел-градин для n=\", n, \":\", sequence)\n",
" else:\n",
" print(\"Ошибка: число должно быть положительным.\")\n",
" except ValueError:\n",
" print(\"Ошибка: введите корректное целое число.\")"
]
},
{
"cell_type": "markdown",
"id": "df6f40e6-f7e3-4472-af17-f2247758f796",
"metadata": {},
"source": [
"## Задача 3.2."
]
},
{
"cell_type": "code",
"execution_count": 23,
"id": "a6c5628c-b9b6-49f0-ae9f-b67fce4566ae",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Error: Please provide valid latitude and longitude values in the format 'lat,long'.\n"
]
}
],
"source": [
"import sys\n",
"import math\n",
"\n",
"# Calculate the shortest distance between two points on a sphere provided on\n",
"# the command line as (longitude, latitude pairs). For example, Paris and Rome:\n",
"# 48.9,2.4 41.9,12.5\n",
"\n",
"haversin = lambda alpha: math.sin(alpha / 2) ** 2\n",
"\n",
"def gc_distance(loc1, loc2, R=6378.1):\n",
" \"\"\"\n",
" Return the great-circle distance between two points on a sphere of radius\n",
" R, provided as (latitude, longitude) pairs, loc=(phi, lambda) in radians.\n",
" \"\"\"\n",
" (phi1, lambda1), (phi2, lambda2) = loc1, loc2\n",
" d = 2 * R * math.asin(math.sqrt(\n",
" haversin(phi2 - phi1) + math.cos(phi1) * math.cos(phi2) * haversin(lambda2 - lambda1)\n",
" ))\n",
" return d\n",
"\n",
"if len(sys.argv) != 3:\n",
" print(\"Usage: python script.py 'latitude1,longitude1' 'latitude2,longitude2'\")\n",
"else:\n",
" try:\n",
" loc1, loc2 = sys.argv[1], sys.argv[2]\n",
" phi1, lambda1 = [math.radians(float(x)) for x in loc1.split(',')]\n",
" phi2, lambda2 = [math.radians(float(x)) for x in loc2.split(',')]\n",
"\n",
" d = gc_distance((phi1, lambda1), (phi2, lambda2))\n",
" print(f\"{int(d)} km\")\n",
" except ValueError:\n",
" print(\"Error: Please provide valid latitude and longitude values in the format 'lat,long'.\")\n"
]
},
{
"cell_type": "markdown",
"id": "837e21ff-97cd-42f4-a04a-bb04f8da9bf9",
"metadata": {},
"source": [
"## Задача 3.3. "
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "fb198419-dca7-4a07-99c8-33f4821e6f51",
"metadata": {},
"outputs": [],
"source": [
"import os\n",
"import math\n",
"\n",
"nfigs = 20\n",
"HOME = os.getenv('HOME')\n",
"pathdir = os.path.join(HOME, 'test')\n",
"if not os.path.exists(pathdir):\n",
" os.mkdir(pathdir)\n",
"\n",
"canvas_height, canvas_width = 500, 500\n",
"cx, cy = canvas_height / 2, canvas_width / 2\n",
"r1, r2 = 200, 20\n",
"\n",
"alphas = [2*math.pi / nfigs * n for n in range(nfigs)]\n",
"\n",
"for n, alpha in enumerate(alphas):\n",
" filename = os.path.join(pathdir, 'fig{:02d}.svg'.format(n))\n",
" with open(filename, 'w') as fo:\n",
" # SVG preamble\n",
" print(\"\"\"<?xml version=\"1.0\" encoding=\"utf-8\"?>\n",
" <svg xmlns=\"http://www.w3.org/2000/svg\"\n",
" xmlns:xlink=\"http://www.w3.org/1999/xlink\"\n",
" width=\"{}\" height=\"{}\" style=\"background: {}\">\"\"\".format(\n",
" canvas_width, canvas_height, '#ffffff'), file=fo)\n",
" print('<circle cx=\"{}\" cy=\"{}\" r=\"{}\" style=\"stroke: black;'\n",
" ' stroke-width: 2px; fill: none;\"/>'.format(cx, cy, r1),file=fo)\n",
" cx2, cy2 = cx+(r1-r2) * math.cos(alpha), cy+(r1-r2) * math.sin(alpha)\n",
" print('<circle cx=\"{}\" cy=\"{}\" r=\"{}\" style=\"stroke: red; fill: red;\"/>'\n",
" .format(cx2, cy2, r2), file=fo)\n",
" print('</svg>', file=fo)"
]
},
{
"cell_type": "markdown",
"id": "f5dbb291-9e4e-445a-958f-02073cd6aa7f",
"metadata": {},
"source": [
"## Задача 3.4."
]
},
{
"cell_type": "code",
"execution_count": null,
"id": "596c38c7-eb9e-40fc-9386-e5956ae644be",
"metadata": {},
"outputs": [],
"source": [
"import os\n",
"import sys\n",
"\n",
"months = ['jan', 'feb', 'mar', 'apr', 'may', 'jun',\n",
" 'jul', 'aug', 'sep', 'oct', 'nov', 'dec']\n",
"\n",
"try:\n",
" dir_name = sys.argv[1]\n",
"except IndexError:\n",
" print('No directory name provided. Usage:')\n",
" print('{} <dir_name>'.format(sys.argv[0]))\n",
" sys.exit(1)\n",
"\n",
"if not os.path.exists(dir_name):\n",
" print('Directory {} does not exist'.format(dir_name))\n",
" sys.exit(1)\n",
"\n",
"for filename in os.listdir(dir_name):\n",
" try:\n",
" d, month, y = int(filename[5:7]), filename[8:11], int(filename[12:14])\n",
" except (IndexError, ValueError):\n",
" print('Skipping file', filename)\n",
" continue\n",
" \n",
" try:\n",
" m = months.index(month.lower())+1\n",
" except ValueError:\n",
" print('Skipping file {} (unrecognised month)'.format(filename))\n",
" continue\n",
" \n",
" newname = 'data-20{:02d}-{:02d}-{:02d}.txt'.format(y, m, d)\n",
" newpath = os.path.join(dir_name, newname)\n",
" oldpath = os.path.join(dir_name, filename)\n",
" print(oldpath, '->', newpath)\n",
" os.rename(oldpath, newpath)"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3 (ipykernel)",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.12.7"
}
},
"nbformat": 4,
"nbformat_minor": 5
}
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