8day.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "73342da9",
   "metadata": {},
   "source": [
    "### 함수"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "7498c837",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "사각형 x의 길이:  10\n",
      "사각형 y의 길이:  20\n",
      "사각형의 넓이:  200\n"
     ]
    }
   ],
   "source": [
    "def calculate_rectangle_area(x,y):\n",
    "    return x * y\n",
    "\n",
    "rectangle_x=10\n",
    "rectangle_y=20\n",
    "\n",
    "print(\"사각형 x의 길이: \", rectangle_x)\n",
    "print(\"사각형 y의 길이: \", rectangle_y)\n",
    "\n",
    "print(\"사각형의 넓이: \", calculate_rectangle_area(rectangle_x,rectangle_y))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "eec66a86",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 \n"
     ]
    }
   ],
   "source": [
    "n = 2000\n",
    "a, b = 0, 1\n",
    "while a < n:\n",
    "    print(a, end=' ')\n",
    "    a, b = b, a+b\n",
    "print()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "16caff5a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 \n"
     ]
    }
   ],
   "source": [
    "n = 4000\n",
    "a, b = 0, 1\n",
    "while a < n:\n",
    "    print(a, end=' ')\n",
    "    a, b = b, a+b\n",
    "print()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e6e1697c",
   "metadata": {},
   "source": [
    "#### 피보나치 수열의 함수 구현"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "0695d639",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 \n",
      "0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 \n"
     ]
    }
   ],
   "source": [
    "def  fib(n):\n",
    "    a, b = 0, 1\n",
    "    while a < n:\n",
    "        print(a, end=' ')\n",
    "        a, b = b, a+b\n",
    "    print()\n",
    "    \n",
    "fib(2000)\n",
    "fib(4000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "2cd0efb8",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'function'>\n",
      "<class 'function'>\n",
      "0 1 1 2 3 5 8 13 21 34 55 89 144 233 377 610 987 1597 2584 4181 \n",
      "0x2c60be824c0\n",
      "0x2c60be824c0\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f = fib\n",
    "print(type(f))\n",
    "print(type(fib))\n",
    "f(5000)\n",
    "print(hex(id(fib)))\n",
    "print(hex(id(f)))\n",
    "fib is f"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "80684be7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2\n",
      "3\n",
      "0 1 1 2 3 5 8 13 21 34 55 89 \n",
      "3049626543296 3049626543296\n"
     ]
    }
   ],
   "source": [
    "import sys\n",
    "\n",
    "f = None\n",
    "print(sys.getrefcount(fib))\n",
    "f = fib\n",
    "print(sys.getrefcount(fib))\n",
    "f(100)\n",
    "print(id(fib), id(f))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1c75b63f",
   "metadata": {},
   "source": [
    "#### 리턴값이 있는 피보나치 구현"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "330ec658",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0, 1, 1, 2, 3, 5, 8]\n"
     ]
    }
   ],
   "source": [
    "def fib2(n):\n",
    "    result = []\n",
    "    a,b = 0,1\n",
    "    while(a < n):\n",
    "        result.append(a)\n",
    "        a, b = b, a+b\n",
    "        \n",
    "    return result\n",
    "\n",
    "f100 = fib2(10)\n",
    "print(f100)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f1eba6e4",
   "metadata": {},
   "source": [
    "#### 함수의 여러가지 형태"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "b08d214a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "35\n",
      "35\n",
      "35\n",
      "35\n"
     ]
    }
   ],
   "source": [
    "def a_rectangle_area():\n",
    "    print(5*7)\n",
    "\n",
    "def b_rectangle_area(x,y):\n",
    "    print(x*y)\n",
    "\n",
    "def c_rectangle_area():\n",
    "    return(5*7)\n",
    "\n",
    "def d_rectangle_area(x,y):\n",
    "    return(x*y)\n",
    "\n",
    "a_rectangle_area()\n",
    "b_rectangle_area(5,7)\n",
    "\n",
    "print(c_rectangle_area())\n",
    "print(d_rectangle_area(5,7))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dc0973ef",
   "metadata": {},
   "source": [
    "#### 함수의 호출 방식"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "id": "c9bb896a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'list'>\n",
      "[2, 3]\n",
      "[0, 1]\n"
     ]
    }
   ],
   "source": [
    "def spam(eggs):\n",
    "    eggs.append(1)\n",
    "    eggs = [2,3]\n",
    "    print(eggs)\n",
    "\n",
    "ham = [0]   # list, tuple, range , dict\n",
    "print(type(ham))\n",
    "spam(ham)\n",
    "print(ham)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "71f9546c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10\n"
     ]
    }
   ],
   "source": [
    "def foo(temp):\n",
    "    temp = 100\n",
    "\n",
    "n=10  # int, float ...\n",
    "foo(n)\n",
    "print(n)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e0669da5",
   "metadata": {},
   "source": [
    "#### 변수의 범위"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "1cdcbc6e",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10\n",
      "In Function : 20\n"
     ]
    },
    {
     "ename": "NameError",
     "evalue": "name 't' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-39-b914d6044db2>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[0;32m      6\u001b[0m \u001b[0mx\u001b[0m \u001b[1;33m=\u001b[0m \u001b[1;36m10\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      7\u001b[0m \u001b[0mtest\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mx\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 8\u001b[1;33m \u001b[0mprint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[0mt\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[1;31mNameError\u001b[0m: name 't' is not defined"
     ]
    }
   ],
   "source": [
    "def test(t):\n",
    "    print(x)\n",
    "    t = 20\n",
    "    print(\"In Function :\",t)\n",
    "    \n",
    "x = 10\n",
    "test(x)\n",
    "print(t)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "40915384",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "I love London!\n",
      "I love Paris!\n"
     ]
    }
   ],
   "source": [
    "def f():\n",
    "    s = \"I love London!\"\n",
    "    print(s)\n",
    "    \n",
    "s = \"I love Paris!\"\n",
    "f()\n",
    "print(s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "95736f7c",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "I love London!\n",
      "I love London!\n"
     ]
    }
   ],
   "source": [
    "def f():\n",
    "    global s\n",
    "    s = \"I love London!\"\n",
    "    print(s)\n",
    "    \n",
    "s =\"I love Paris!\"\n",
    "f()\n",
    "print(s)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "fabf72cb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10\n",
      "10\n"
     ]
    }
   ],
   "source": [
    "def foo():\n",
    "#     global a\n",
    "#     a = 20\n",
    "    print(a)\n",
    "\n",
    "a=10\n",
    "foo()\n",
    "print(a)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c39195b3",
   "metadata": {},
   "source": [
    "#### Keyword arguments"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "id": "1d3e7cb2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10 20 30\n"
     ]
    }
   ],
   "source": [
    "def foo(a,b,c):\n",
    "    print(a,b,c)\n",
    "\n",
    "foo(10,20,30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "2627aa7d",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "20 30 10\n"
     ]
    }
   ],
   "source": [
    "def foo(a,b,c):\n",
    "    print(a,b,c)\n",
    "\n",
    "foo(c=10,a=20,b=30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "id": "25968291",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "33 kim\n"
     ]
    }
   ],
   "source": [
    "def foo(age,name):\n",
    "    print(age,name)\n",
    "\n",
    "foo(name='kim', age=33)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "dc16d21f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Hello group, My name is Hong\n",
      "Hello group, My name is Hong\n"
     ]
    }
   ],
   "source": [
    "def print_somthing(my_name,your_name):\n",
    "    print(\"Hello {0}, My name is {1}\".format(your_name,my_name))\n",
    "    \n",
    "print_somthing(\"Hong\",\"group\")\n",
    "print_somthing(your_name=\"group\",my_name=\"Hong\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "id": "02d27f2f",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10 10 100 100 3 red dot\n"
     ]
    }
   ],
   "source": [
    "def draw_line(x1,y1,x2,y2,width,color,line_type):\n",
    "    print(x1,y1,x2,y2,width,color,line_type)\n",
    "    \n",
    "draw_line(10,10,100,100,3,'red','dot')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "14269143",
   "metadata": {},
   "source": [
    "#### default arguments"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "id": "3d2cdcc4",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "10 10 100 100 1 blue solid\n",
      "10 10 100 100 3 red dot\n"
     ]
    }
   ],
   "source": [
    "def draw_line(x1,y1,x2,y2,width=1,color='blue',line_type='solid'):\n",
    "    print(x1,y1,x2,y2,width,color,line_type)\n",
    "\n",
    "draw_line(10,10,100,100)\n",
    "draw_line(10,10,100,100,3,'red','dot')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "id": "4cdf633a",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Hello group, My name is Hong\n",
      "Hello none name, My name is Hong\n",
      "Hello group, My name is Hong\n",
      "Hello none name, My name is Hong\n"
     ]
    }
   ],
   "source": [
    "def print_somthing(my_name,your_name=\"none name\"):\n",
    "    print(\"Hello {0}, My name is {1}\".format(your_name,my_name))\n",
    "    \n",
    "print_somthing(\"Hong\",\"group\")\n",
    "print_somthing(\"Hong\")\n",
    "print_somthing(your_name=\"group\",my_name=\"Hong\")\n",
    "print_somthing(my_name=\"Hong\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "977d12e4",
   "metadata": {},
   "source": [
    "#### 가변 인자 함수"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "id": "5ac9e3e2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(3, 4, 5)\n",
      "15\n"
     ]
    }
   ],
   "source": [
    "def asterisk_test(a, b, *args):\n",
    "    print(args)  # (3, 4, 5)\n",
    "    return a + b + sum(args)\n",
    "\n",
    "ret = asterisk_test(1,2,3,4,5)\n",
    "print(ret)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "cf7ab680",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(3, 4, 5, 6, 7, 8, 9, 10)\n",
      "55\n"
     ]
    }
   ],
   "source": [
    "def asterisk_test(a, b, *args):\n",
    "    print(args)  # (3, 4, 5, 6, 7, 8, 9, 10)\n",
    "    return a + b + sum(args)\n",
    "\n",
    "ret = asterisk_test(1,2,3,4,5,6,7,8,9,10)\n",
    "print(ret)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "82ecd0ef",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(2, 3, 4, 5)\n",
      "120\n"
     ]
    }
   ],
   "source": [
    "def vmul(n,  *args):\n",
    "    result=1\n",
    "    print(args)  # (2, 3, 4, 5)\n",
    "    for i in range(n):\n",
    "        result *= args[i]\n",
    "    return result\n",
    "\n",
    "ret = vmul(4, 2,3,4,5)\n",
    "print(ret)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "afa98113",
   "metadata": {},
   "source": [
    "#### 키워드 가변인자"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "e6b440b2",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'int'>\n",
      "<class 'tuple'>\n",
      "<class 'dict'>\n",
      "1\n",
      "(2, 3)\n",
      "{'one': 10, 'two': 20}\n"
     ]
    }
   ],
   "source": [
    "def foo(a, *b, **c):\n",
    "    print(type(a))  # 1\n",
    "    print(type(b))  # (2, 3)\n",
    "    print(type(c))  # { one:10, two:20 }\n",
    "    print(a)\n",
    "    print(b)\n",
    "    print(c)\n",
    "    \n",
    "foo(1, 2, 3, one=10, two=20)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "7cae57d7",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "-- Do you have any Limburger ?\n",
      "-- I'm sorry, we're all out of Limburger\n",
      "It's very runny, sir.\n",
      "It's really very, VERY runny, sir.\n",
      "----------------------------------------\n",
      "shopkeeper : Michael Palin\n",
      "client : John Cleese\n",
      "sketch : Cheese Shop Sketch\n"
     ]
    }
   ],
   "source": [
    "def cheeseshop(kind, *arguments, **keywords):\n",
    "    print(\"-- Do you have any\", kind, \"?\")\n",
    "    print(\"-- I'm sorry, we're all out of\", kind)\n",
    "    for arg in arguments:\n",
    "        print(arg)\n",
    "    print(\"-\" * 40)\n",
    "    for kw in keywords:\n",
    "        print(kw, \":\", keywords[kw])\n",
    "\n",
    "cheeseshop(\"Limburger\", \"It's very runny, sir.\",\n",
    "           \"It's really very, VERY runny, sir.\",\n",
    "           shopkeeper=\"Michael Palin\",\n",
    "           client=\"John Cleese\",\n",
    "           sketch=\"Cheese Shop Sketch\")        "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "9619e601",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'str'>\n",
      "<class 'tuple'>\n",
      "<class 'dict'>\n",
      "hello\n",
      "('one', 'two')\n",
      "{'one': 'hello', 'two': 'world'}\n"
     ]
    }
   ],
   "source": [
    "def foo(a, *b, **c):\n",
    "    print(type(a))  # \"hello\"\n",
    "    print(type(b))  # ('one', 'two')\n",
    "    print(type(c))  # { one:10, two:20 }\n",
    "    print(a)\n",
    "    print(b)\n",
    "    print(c)\n",
    "    \n",
    "foo('hello', 'one', 'two', one='hello', two='world')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "id": "337882f5",
   "metadata": {},
   "outputs": [
    {
     "ename": "SyntaxError",
     "evalue": "invalid syntax (<ipython-input-72-5cbf267e7cff>, line 1)",
     "output_type": "error",
     "traceback": [
      "\u001b[1;36m  File \u001b[1;32m\"<ipython-input-72-5cbf267e7cff>\"\u001b[1;36m, line \u001b[1;32m1\u001b[0m\n\u001b[1;33m    def foo(a, **c , *b ):\u001b[0m\n\u001b[1;37m                     ^\u001b[0m\n\u001b[1;31mSyntaxError\u001b[0m\u001b[1;31m:\u001b[0m invalid syntax\n"
     ]
    }
   ],
   "source": [
    "def foo(a, **c , *b ):\n",
    "    print(type(a))  # \"hello\"\n",
    "    print(type(b))  # ('one', 'two')\n",
    "    print(type(c))  # { one:10, two:20 }\n",
    "    print(a)\n",
    "    print(b)\n",
    "    print(c)\n",
    "    \n",
    "# foo('hello', one='hello', two='world', 'one', 'two', )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "id": "6485461a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'int'>\n",
      "<class 'tuple'>\n",
      "<class 'dict'>\n",
      "1\n",
      "(2, 3, 4)\n",
      "{'one': 'hello', 'two': 'world'}\n"
     ]
    }
   ],
   "source": [
    "def foo( a , *b, **c):\n",
    "    print(type(a))  \n",
    "    print(type(b))  \n",
    "    print(type(c))  \n",
    "    print(a)\n",
    "    print(b)\n",
    "    print(c)\n",
    "    \n",
    "foo(1,2,3,4, one='hello', two='world' )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "id": "0ee9af60",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'tuple'>\n",
      "<class 'dict'>\n",
      "(1, 2, 3, 4)\n",
      "{'one': 'hello', 'two': 'world'}\n"
     ]
    }
   ],
   "source": [
    "def foo( *b, **c):\n",
    "    print(type(b))  \n",
    "    print(type(c))  \n",
    "    print(b)\n",
    "    print(c)\n",
    "    \n",
    "foo(1,2,3,4, one='hello', two='world' )"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4dfc8a47",
   "metadata": {},
   "source": [
    "### 재귀 호출"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "id": "28121cde",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
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      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
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      "Hello world!\n",
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      "Hello world!\n",
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      "Hello world!\n",
      "Hello world!\n",
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      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n",
      "Hello world!\n"
     ]
    },
    {
     "ename": "RecursionError",
     "evalue": "maximum recursion depth exceeded while calling a Python object",
     "output_type": "error",
     "traceback": [
      "\u001b[1;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[1;31mRecursionError\u001b[0m                            Traceback (most recent call last)",
      "\u001b[1;32m<ipython-input-77-d99fe692d849>\u001b[0m in \u001b[0;36m<module>\u001b[1;34m\u001b[0m\n\u001b[0;32m      3\u001b[0m     \u001b[0mhello\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      4\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 5\u001b[1;33m \u001b[0mhello\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m",
      "\u001b[1;32m<ipython-input-77-d99fe692d849>\u001b[0m in \u001b[0;36mhello\u001b[1;34m()\u001b[0m\n\u001b[0;32m      1\u001b[0m \u001b[1;32mdef\u001b[0m \u001b[0mhello\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      2\u001b[0m     \u001b[0mprint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'Hello world!'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 3\u001b[1;33m     \u001b[0mhello\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m      4\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      5\u001b[0m \u001b[0mhello\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "... last 1 frames repeated, from the frame below ...\n",
      "\u001b[1;32m<ipython-input-77-d99fe692d849>\u001b[0m in \u001b[0;36mhello\u001b[1;34m()\u001b[0m\n\u001b[0;32m      1\u001b[0m \u001b[1;32mdef\u001b[0m \u001b[0mhello\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m:\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      2\u001b[0m     \u001b[0mprint\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;34m'Hello world!'\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[1;32m----> 3\u001b[1;33m     \u001b[0mhello\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0m\u001b[0;32m      4\u001b[0m \u001b[1;33m\u001b[0m\u001b[0m\n\u001b[0;32m      5\u001b[0m \u001b[0mhello\u001b[0m\u001b[1;33m(\u001b[0m\u001b[1;33m)\u001b[0m\u001b[1;33m\u001b[0m\u001b[1;33m\u001b[0m\u001b[0m\n",
      "\u001b[1;31mRecursionError\u001b[0m: maximum recursion depth exceeded while calling a Python object"
     ]
    }
   ],
   "source": [
    "def hello():\n",
    "    print('Hello world!')\n",
    "    hello()\n",
    "\n",
    "hello()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "id": "f16e4f52",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Hello world! 5\n",
      "Hello world! 4\n",
      "Hello world! 3\n",
      "Hello world! 2\n",
      "Hello world! 1\n"
     ]
    }
   ],
   "source": [
    "def hello(count):\n",
    "    if count == 0:\n",
    "        return\n",
    "    print('Hello world!', count)\n",
    "    count -= 1\n",
    "    hello(count)\n",
    "\n",
    "hello(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "id": "f32d81ad",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Hello world! 5\n",
      "Hello world! 4\n",
      "Hello world! 3\n",
      "Hello world! 2\n",
      "Hello world! 1\n"
     ]
    }
   ],
   "source": [
    "def hello(count):\n",
    "    for i in range(count):\n",
    "        print('Hello world!', count-i)\n",
    "\n",
    "hello(5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "id": "368b26a6",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5050\n"
     ]
    }
   ],
   "source": [
    "def my_sum(n):\n",
    "    temp = 0\n",
    "    for i in range(n):\n",
    "        temp += i+1  \n",
    "    return temp\n",
    "\n",
    "ret = my_sum(100)\n",
    "print(ret)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "id": "9835dd31",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "15\n"
     ]
    }
   ],
   "source": [
    "def my_sum(n):\n",
    "    if n==1 :\n",
    "        return 1\n",
    "    return n + my_sum(n-1)\n",
    "    #      5 + my_sum(4)\n",
    "    #             4 + my_sum(3)\n",
    "    #                    3 + my_sum(2)\n",
    "    #                           2 + my_sum(1)\n",
    "    #                                  1\n",
    "ret = my_sum(5)\n",
    "print(ret)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "id": "1e5d1782",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "120\n"
     ]
    }
   ],
   "source": [
    "def my_fact(n):\n",
    "    temp = 1\n",
    "    for i in range(n):\n",
    "        temp *= i+1  \n",
    "    return temp\n",
    "\n",
    "ret = my_fact(5)\n",
    "print(ret)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "id": "41d2516f",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "120\n"
     ]
    }
   ],
   "source": [
    "def my_fact(n):\n",
    "    if n==1 :\n",
    "        return 1\n",
    "    return n * my_fact(n-1)\n",
    "\n",
    "ret = my_fact(5)\n",
    "print(ret)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "id": "e0f8e589",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 1 2 3 5 8 13 21 34 55 \n"
     ]
    }
   ],
   "source": [
    "def my_fibo(n):\n",
    "    a,b = 1,1\n",
    "    while(a<n):\n",
    "        print(a, end=\" \")\n",
    "        a,b = b,a+b\n",
    "    print()\n",
    "    \n",
    "my_fibo(60)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "97a98e1a",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 1 2 3 5 8 13 21 34 55 "
     ]
    }
   ],
   "source": [
    "def fibo(n):\n",
    "    if n == 0 or n == 1:\n",
    "        return 1\n",
    "    return fibo(n-2) + fibo(n-1)\n",
    "\n",
    "def my_fibo(n):\n",
    "    for i in range(n):\n",
    "        print(fibo(i), end=\" \")\n",
    "\n",
    "my_fibo(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "2f0bf4de",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1 : a -> b\n",
      "2 : a -> c\n",
      "1 : b -> c\n"
     ]
    }
   ],
   "source": [
    "def  hanoi(n, fr, by, to):\n",
    "    if n==1:\n",
    "        print( \"%d : %c -> %c\"%(n,fr,to) )\n",
    "        return\n",
    "    \n",
    "    hanoi( n-1 , fr, to, by)\n",
    "    print( \"%d : %c -> %c\"%(n,fr,to) )\n",
    "    hanoi( n-1 , by, fr, to)\n",
    "    \n",
    "hanoi(2, 'a', 'b', 'c')"
   ]
  }
 ],
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  "language_info": {
   "codemirror_mode": {
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   "file_extension": ".py",
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