14010814/14010814.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "7eb022b0",
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d7206a90",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "12 // 5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c88b927a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2.0"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "12. // 5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "81f9b3f8",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "int(12. // 5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "d52143da",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "22 % 5 # 22 - (22//5)*5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "193e8056",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "2"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "22 - (22//5)*5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "e88cb9ba",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "5 == 10//2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "01e77bb5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    ".1 + .1 + .1  == .3\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "875d91be",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    ".1 + .1 + .1  - .3 < 10**-6 # 1e-6"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "0cc520a9",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.20001000000000002\n"
     ]
    }
   ],
   "source": [
    "print(1e-5+.2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "1f8cb5df",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "12 > 4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "300ed0b3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "12 < True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "cb95687d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "13"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "12 + True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "0b6a3c1f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "1 == True"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "790b99dc",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "12\n",
      "x is positive\n"
     ]
    }
   ],
   "source": [
    "x = int(input())\n",
    "if x > 0:\n",
    "    print('x is positive')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "c70728cc",
   "metadata": {},
   "outputs": [],
   "source": [
    "def area(r):\n",
    "    pass"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "1128073e",
   "metadata": {},
   "outputs": [
    {
     "ename": "SyntaxError",
     "evalue": "incomplete input (3861551224.py, line 1)",
     "output_type": "error",
     "traceback": [
      "\u001b[0;36m  Input \u001b[0;32mIn [29]\u001b[0;36m\u001b[0m\n\u001b[0;31m    def test():\u001b[0m\n\u001b[0m               ^\u001b[0m\n\u001b[0;31mSyntaxError\u001b[0m\u001b[0;31m:\u001b[0m incomplete input\n"
     ]
    }
   ],
   "source": [
    "def test():"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "c97dfaa8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2\n",
      "ordibehest\n"
     ]
    }
   ],
   "source": [
    "m = int(input())\n",
    "\n",
    "if m==1:\n",
    "    print('farvardin')\n",
    "else:\n",
    "    if m==2:\n",
    "        print('ordibehest')\n",
    "    else:\n",
    "        if m==3:\n",
    "            print('khordad')\n",
    "        else:\n",
    "            pass"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "id": "7ff8a371",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1\n",
      "farvardin\n"
     ]
    }
   ],
   "source": [
    "m = int(input())\n",
    "\n",
    "if m==1:\n",
    "    print('farvardin')\n",
    "elif m==2:\n",
    "    print('ordibehest')\n",
    "elif m==3:\n",
    "    print('khordad')\n",
    "else:\n",
    "    pass"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "1e225ec2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "3\n",
      "Month number is between 1 and 12\n"
     ]
    }
   ],
   "source": [
    "x = int(input())\n",
    "if 0 < x:\n",
    "    if x <= 12:\n",
    "        print('Month number is between 1 and 12')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "033f28dd",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4\n",
      "Month number should be between 1 and 12\n"
     ]
    }
   ],
   "source": [
    "x = int(input())\n",
    "if 0 < x and x <= 12:\n",
    "        print('Month number should be between 1 and 12')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "0f1985ae",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5\n",
      "Month number should be between 1 and 12\n"
     ]
    }
   ],
   "source": [
    "x = int(input())\n",
    "if 0 < x < 13:\n",
    "        print('Month number should be between 1 and 12')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "7e97b88e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.14"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def area(r):\n",
    "    return 3.14*r*r\n",
    "\n",
    "def volume(h, r):\n",
    "    return h * area(r)\n",
    "\n",
    "volume(1,1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "c8202771",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
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    },
    {
     "ename": "RecursionError",
     "evalue": "maximum recursion depth exceeded while calling a Python object",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mRecursionError\u001b[0m                            Traceback (most recent call last)",
      "File \u001b[0;32m/usr/lib/python3.10/threading.py:1116\u001b[0m, in \u001b[0;36mThread._wait_for_tstate_lock\u001b[0;34m(self, block, timeout)\u001b[0m\n\u001b[1;32m   1115\u001b[0m \u001b[38;5;28;01mtry\u001b[39;00m:\n\u001b[0;32m-> 1116\u001b[0m     \u001b[38;5;28;01mif\u001b[39;00m \u001b[43mlock\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43macquire\u001b[49m\u001b[43m(\u001b[49m\u001b[43mblock\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mtimeout\u001b[49m\u001b[43m)\u001b[49m:\n\u001b[1;32m   1117\u001b[0m         lock\u001b[38;5;241m.\u001b[39mrelease()\n",
      "\u001b[0;31mRecursionError\u001b[0m: maximum recursion depth exceeded while calling a Python object",
      "\nDuring handling of the above exception, another exception occurred:\n",
      "\u001b[0;31mRecursionError\u001b[0m                            Traceback (most recent call last)",
      "Input \u001b[0;32mIn [41]\u001b[0m, in \u001b[0;36m<cell line: 5>\u001b[0;34m()\u001b[0m\n\u001b[1;32m      2\u001b[0m     \u001b[38;5;28mprint\u001b[39m(i)\n\u001b[1;32m      3\u001b[0m     test(i\u001b[38;5;241m+\u001b[39m\u001b[38;5;241m1\u001b[39m)\n\u001b[0;32m----> 5\u001b[0m \u001b[43mtest\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m1\u001b[39;49m\u001b[43m)\u001b[49m\n",
      "Input \u001b[0;32mIn [41]\u001b[0m, in \u001b[0;36mtest\u001b[0;34m(i)\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mtest\u001b[39m(i):\n\u001b[1;32m      2\u001b[0m     \u001b[38;5;28mprint\u001b[39m(i)\n\u001b[0;32m----> 3\u001b[0m     \u001b[43mtest\u001b[49m\u001b[43m(\u001b[49m\u001b[43mi\u001b[49m\u001b[38;5;241;43m+\u001b[39;49m\u001b[38;5;241;43m1\u001b[39;49m\u001b[43m)\u001b[49m\n",
      "Input \u001b[0;32mIn [41]\u001b[0m, in \u001b[0;36mtest\u001b[0;34m(i)\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mtest\u001b[39m(i):\n\u001b[1;32m      2\u001b[0m     \u001b[38;5;28mprint\u001b[39m(i)\n\u001b[0;32m----> 3\u001b[0m     \u001b[43mtest\u001b[49m\u001b[43m(\u001b[49m\u001b[43mi\u001b[49m\u001b[38;5;241;43m+\u001b[39;49m\u001b[38;5;241;43m1\u001b[39;49m\u001b[43m)\u001b[49m\n",
      "    \u001b[0;31m[... skipping similar frames: test at line 3 (2964 times)]\u001b[0m\n",
      "Input \u001b[0;32mIn [41]\u001b[0m, in \u001b[0;36mtest\u001b[0;34m(i)\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mtest\u001b[39m(i):\n\u001b[1;32m      2\u001b[0m     \u001b[38;5;28mprint\u001b[39m(i)\n\u001b[0;32m----> 3\u001b[0m     \u001b[43mtest\u001b[49m\u001b[43m(\u001b[49m\u001b[43mi\u001b[49m\u001b[38;5;241;43m+\u001b[39;49m\u001b[38;5;241;43m1\u001b[39;49m\u001b[43m)\u001b[49m\n",
      "Input \u001b[0;32mIn [41]\u001b[0m, in \u001b[0;36mtest\u001b[0;34m(i)\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mtest\u001b[39m(i):\n\u001b[0;32m----> 2\u001b[0m     \u001b[38;5;28;43mprint\u001b[39;49m\u001b[43m(\u001b[49m\u001b[43mi\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m      3\u001b[0m     test(i\u001b[38;5;241m+\u001b[39m\u001b[38;5;241m1\u001b[39m)\n",
      "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/ipykernel/iostream.py:531\u001b[0m, in \u001b[0;36mOutStream.write\u001b[0;34m(self, string)\u001b[0m\n\u001b[1;32m    529\u001b[0m is_child \u001b[38;5;241m=\u001b[39m (\u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_is_master_process())\n\u001b[1;32m    530\u001b[0m \u001b[38;5;66;03m# only touch the buffer in the IO thread to avoid races\u001b[39;00m\n\u001b[0;32m--> 531\u001b[0m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mpub_thread\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mschedule\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;28;43;01mlambda\u001b[39;49;00m\u001b[43m:\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_buffer\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mwrite\u001b[49m\u001b[43m(\u001b[49m\u001b[43mstring\u001b[49m\u001b[43m)\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m    532\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m is_child:\n\u001b[1;32m    533\u001b[0m     \u001b[38;5;66;03m# mp.Pool cannot be trusted to flush promptly (or ever),\u001b[39;00m\n\u001b[1;32m    534\u001b[0m     \u001b[38;5;66;03m# and this helps.\u001b[39;00m\n\u001b[1;32m    535\u001b[0m     \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_subprocess_flush_pending:\n",
      "File \u001b[0;32m~/.venv/lib/python3.10/site-packages/ipykernel/iostream.py:213\u001b[0m, in \u001b[0;36mIOPubThread.schedule\u001b[0;34m(self, f)\u001b[0m\n\u001b[1;32m    208\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mschedule\u001b[39m(\u001b[38;5;28mself\u001b[39m, f):\n\u001b[1;32m    209\u001b[0m     \u001b[38;5;124;03m\"\"\"Schedule a function to be called in our IO thread.\u001b[39;00m\n\u001b[1;32m    210\u001b[0m \n\u001b[1;32m    211\u001b[0m \u001b[38;5;124;03m    If the thread is not running, call immediately.\u001b[39;00m\n\u001b[1;32m    212\u001b[0m \u001b[38;5;124;03m    \"\"\"\u001b[39;00m\n\u001b[0;32m--> 213\u001b[0m     \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mthread\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mis_alive\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m:\n\u001b[1;32m    214\u001b[0m         \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_events\u001b[38;5;241m.\u001b[39mappend(f)\n\u001b[1;32m    215\u001b[0m         \u001b[38;5;66;03m# wake event thread (message content is ignored)\u001b[39;00m\n",
      "File \u001b[0;32m/usr/lib/python3.10/threading.py:1180\u001b[0m, in \u001b[0;36mThread.is_alive\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m   1178\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_is_stopped \u001b[38;5;129;01mor\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_started\u001b[38;5;241m.\u001b[39mis_set():\n\u001b[1;32m   1179\u001b[0m     \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;01mFalse\u001b[39;00m\n\u001b[0;32m-> 1180\u001b[0m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43m_wait_for_tstate_lock\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;28;43;01mFalse\u001b[39;49;00m\u001b[43m)\u001b[49m\n\u001b[1;32m   1181\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_is_stopped\n",
      "File \u001b[0;32m/usr/lib/python3.10/threading.py:1120\u001b[0m, in \u001b[0;36mThread._wait_for_tstate_lock\u001b[0;34m(self, block, timeout)\u001b[0m\n\u001b[1;32m   1118\u001b[0m         \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_stop()\n\u001b[1;32m   1119\u001b[0m \u001b[38;5;28;01mexcept\u001b[39;00m:\n\u001b[0;32m-> 1120\u001b[0m     \u001b[38;5;28;01mif\u001b[39;00m \u001b[43mlock\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mlocked\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m:\n\u001b[1;32m   1121\u001b[0m         \u001b[38;5;66;03m# bpo-45274: lock.acquire() acquired the lock, but the function\u001b[39;00m\n\u001b[1;32m   1122\u001b[0m         \u001b[38;5;66;03m# was interrupted with an exception before reaching the\u001b[39;00m\n\u001b[1;32m   1123\u001b[0m         \u001b[38;5;66;03m# lock.release(). It can happen if a signal handler raises an\u001b[39;00m\n\u001b[1;32m   1124\u001b[0m         \u001b[38;5;66;03m# exception, like CTRL+C which raises KeyboardInterrupt.\u001b[39;00m\n\u001b[1;32m   1125\u001b[0m         lock\u001b[38;5;241m.\u001b[39mrelease()\n\u001b[1;32m   1126\u001b[0m         \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39m_stop()\n",
      "\u001b[0;31mRecursionError\u001b[0m: maximum recursion depth exceeded while calling a Python object"
     ]
    }
   ],
   "source": [
    "def test(i):\n",
    "    print(i)\n",
    "    test(i+1)\n",
    "    \n",
    "test(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "id": "a343346c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5\n",
      "4\n",
      "3\n",
      "2\n",
      "1\n"
     ]
    }
   ],
   "source": [
    "def countdown(n):\n",
    "    if n==0:\n",
    "        return \n",
    "    print(n)\n",
    "    countdown(n-1)\n",
    "    \n",
    "    \n",
    "countdown(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "5840e9ed",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "120"
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def fact(n):\n",
    "    if n==0:\n",
    "        return 1\n",
    "    alpha = fact(n-1)\n",
    "    return n*alpha\n",
    "\n",
    "fact(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "0b079afb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5 factorial is called!\n",
      "  4 factorial is called!\n",
      "    3 factorial is called!\n",
      "      2 factorial is called!\n",
      "        1 factorial is called!\n",
      "          0 factorial is called!\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "120"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def fact(n, d):\n",
    "    print('{}{} factorial is called!'.format(d*'  ', n))\n",
    "    if n==0:\n",
    "        return 1\n",
    "    alpha = fact(n-1, d+1)\n",
    "    return n*alpha\n",
    "\n",
    "fact(5, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "id": "e460d66a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5 * factorial(4)\n",
      "  4 * factorial(3)\n",
      "    3 * factorial(2)\n",
      "      2 * factorial(1)\n",
      "        1 * factorial(0)\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "120"
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def fact(n, d=0):\n",
    "    if n==0:\n",
    "        return 1\n",
    "    print('{}{} * factorial({})'.format(d*'  ', n, n-1))\n",
    "    #print('%s %d * factorial(%d)' % (d*'  ', n, n-1))\n",
    "    #print(d*'  ', n, ' * factorial(' , n-1, ')', sep='')\n",
    "    alpha = fact(n-1, d+1)\n",
    "    return n*alpha\n",
    "\n",
    "fact(5)"
   ]
  }
 ],
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