{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "J3Crui-rLSdk"
   },
   "source": [
    "<table align=\"left\"><tr><td>\n",
    "<a href=\"https://colab.research.google.com/github/rickiepark/python4daml/blob/main/11장.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"코랩에서 실행하기\"/></a>\n",
    "</td></tr></table>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "id": "xkTy89CdH-SM"
   },
   "outputs": [],
   "source": [
    "# 한글 폰트 사용을 위한 코드입니다.\n",
    "import sys\n",
    "# 코랩의 경우 나눔 폰트를 설치합니다.\n",
    "if 'google.colab' in sys.modules:\n",
    "    !sudo apt-get -qq -y install fonts-nanum\n",
    "    import matplotlib.font_manager as fm\n",
    "    font_files = fm.findSystemFonts(fontpaths=['/usr/share/fonts/truetype/nanum'])\n",
    "    for fpath in font_files:\n",
    "        fm.fontManager.addfont(fpath)\n",
    "\n",
    "# 나눔 폰트를 사용합니다.\n",
    "import matplotlib \n",
    "\n",
    "matplotlib.rc('font', family='NanumBarunGothic')\n",
    "matplotlib.rcParams['axes.unicode_minus'] = False"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "fpuyO3MnLQb3"
   },
   "source": [
    "# 11장 알고리즘 복잡도에 대한 간략한 소개"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "5dL5A4V_Lk6D"
   },
   "source": [
    "## 11.1 계산 복잡도에 관한 고찰"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "id": "csZVOs7jLYyW"
   },
   "outputs": [],
   "source": [
    "def f(i): \n",
    "    \"\"\"i는 int이고 i >= 0라고 가정합니다\"\"\" \n",
    "    answer = 1 \n",
    "    while i >= 1: \n",
    "        answer *= i \n",
    "        i -= 1 \n",
    "    return answer "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "id": "VvgXQO0LUkS7"
   },
   "outputs": [],
   "source": [
    "def linear_search(L, x): \n",
    "    for e in L: \n",
    "        if e == x: \n",
    "            return True \n",
    "    return False "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "id": "T_JmI8tPcrBg"
   },
   "outputs": [],
   "source": [
    "def fact(n): \n",
    "    \"\"\"n은 양의 정수라고 가정합니다.\n",
    "       n!을 반환합니다\"\"\" \n",
    "    answer = 1 \n",
    "    while n > 1:\n",
    "        answer *= n\n",
    "        n -= 1 \n",
    "    return answer"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "fGExJ8RPyly1"
   },
   "source": [
    "예제 11-1 완전 열거를 사용해 제곱근의 근삿값 찾기"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "id": "yPwSONdjXByT"
   },
   "outputs": [],
   "source": [
    "def square_root_exhaustive(x, epsilon): \n",
    "    \"\"\"x와 epsilon은 양의 실수이고 epsilon < 1이라고 가정합니다. \n",
    "       x에서 epsilon 이내에 y*y가 있을 때 y를 반환합니다\"\"\" \n",
    "    step = epsilon**2 \n",
    "    ans = 0.0 \n",
    "    while abs(ans**2 - x) >= epsilon and ans*ans <= x: \n",
    "        ans += step \n",
    "    if ans*ans > x: \n",
    "        raise ValueError \n",
    "    return ans "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "JD32XYa7ykNE"
   },
   "source": [
    "예제 11-2 이분 검색을 사용해 제곱근의 근삿값 찾기"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "id": "L2t3nJSzvkkE"
   },
   "outputs": [],
   "source": [
    "def square_root_bi(x, epsilon): \n",
    "    \"\"\"x와 epsilon은 양의 실수이고 epsilon < 1이라고 가정합니다. \n",
    "       x에서 epsilon 이내에 y*y가 있을 때 y를 반환합니다\"\"\"  \n",
    "    low = 0.0 \n",
    "    high = max(1.0, x) \n",
    "    ans = (high + low)/2.0 \n",
    "    while abs(ans**2 - x) >= epsilon: \n",
    "        if ans**2 < x: \n",
    "            low = ans \n",
    "        else: \n",
    "            high = ans \n",
    "        ans = (high + low)/2.0 \n",
    "    return ans "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "kqHSYnRfv3Z7"
   },
   "source": [
    "## 11.2 점근 표기법"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "ZaKk39L3xWYE"
   },
   "source": [
    "예제 11-3 점근 복잡도"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "id": "XSeCNqiOzVu9"
   },
   "outputs": [],
   "source": [
    "def f(x): \n",
    "    \"\"\"x는 0보다 큰 정수라고 가정합니다\"\"\" \n",
    "    ans = 0 \n",
    "    #상수 시간이 걸리는 루프\n",
    "    for i in range(1000): \n",
    "        ans += 1 \n",
    "    print('지금까지 덧셈 횟수:', ans) \n",
    "    #x 시간이 걸리는 루프\n",
    "    for i in range(x): \n",
    "        ans += 1 \n",
    "    print('지금까지 덧셈 횟수:', ans) \n",
    "    #x**2 시간이 걸리는 중첩 루프\n",
    "    for i in range(x): \n",
    "        for j in range(x): \n",
    "            ans += 1 \n",
    "            ans += 1 \n",
    "\n",
    "    print('지금까지 덧셈 횟수:', ans) \n",
    "    return ans "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "NLJOsHCnzWQA",
    "outputId": "4ac3b31d-c221-4a5f-dc0f-360e5b37f63e"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "지금까지 덧셈 횟수: 1000\n",
      "지금까지 덧셈 횟수: 1010\n",
      "지금까지 덧셈 횟수: 1210\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "1210"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/"
    },
    "id": "VAq8a5a20zgp",
    "outputId": "1620fb4e-33c8-4abb-cbb5-0a7058400fac"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "지금까지 덧셈 횟수: 1000\n",
      "지금까지 덧셈 횟수: 2000\n",
      "지금까지 덧셈 횟수: 2002000\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "2002000"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "f(1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "nRoYI95cC-b9"
   },
   "source": [
    "**뇌풀기 문제**"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "id": "jfA2qyW-KbEo"
   },
   "outputs": [],
   "source": [
    "def g(L, e): \n",
    "    \"\"\"L은 정수 리스트이고 e는 정수입니다\"\"\" \n",
    "    for i in range(100): \n",
    "        for e1 in L: \n",
    "            if e1 == e: \n",
    "                return True \n",
    "    return False \n",
    "\n",
    "def h(L, e): \n",
    "    \"\"\"L은 정수 리스트이고 e는 정수입니다\"\"\" \n",
    "    for i in range(e): \n",
    "        for e1 in L: \n",
    "            if e1 == e: \n",
    "                return True \n",
    "    return False"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "AfgqS86rKcsW"
   },
   "source": [
    "g(L,e)의 복잡도는 O(len(L)), h(L,e)의 복잡도는 O(e*len(L))."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "TqLNAalpaepE"
   },
   "source": [
    "## 11.3 중요한 몇 가지 복잡도 종류"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "Vh1i_9F_ahbO"
   },
   "source": [
    "### 11.3.1 상수 복잡도"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "vJeYa3d2aLGD"
   },
   "source": [
    "### 11.3.2 로그 복잡도"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "id": "Yb29qhDgLsU1"
   },
   "outputs": [],
   "source": [
    "def int_to_str(i): \n",
    "    \"\"\"i는 0보다 큰 정수라고 가정합니다.\n",
    "       i의 문자열 표현을 반환합니다\"\"\" \n",
    "    digits = '0123456789' \n",
    "    if i == 0: \n",
    "        return '0' \n",
    "    result = '' \n",
    "    while i > 0: \n",
    "        result = digits[i%10] + result \n",
    "        i = i//10 \n",
    "    return result "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "id": "ov1mGgnSauor"
   },
   "outputs": [],
   "source": [
    "def add_digits(n): \n",
    "    \"\"\"n이 0보다 큰 정수라고 가정합니다. \n",
    "       n에 있는 숫자의 합을 반환합니다\"\"\" \n",
    "    string_rep = int_to_str(n) \n",
    "    val = 0 \n",
    "    for c in string_rep: \n",
    "        val += int(c) \n",
    "    return val "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "BgubmzjBdH2U"
   },
   "source": [
    "### 11.3.3 선형 복잡도"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "id": "pm0AMgM0yg_g"
   },
   "outputs": [],
   "source": [
    "def add_digits(s): \n",
    "    \"\"\"s는 숫자 문자열이라고 가정합니다.\n",
    "       s에 있는 숫자의 합을 반환합니다\"\"\" \n",
    "    val = 0 \n",
    "    for c in string_rep: \n",
    "        val += int(c) \n",
    "    return val "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "id": "Spjucy5Yyhfw"
   },
   "outputs": [],
   "source": [
    "def factorial(x): \n",
    "    \"\"\"x는 양의 정수라고 가정합니다. \n",
    "       x!를 반환합니다\"\"\" \n",
    "    if x == 1: \n",
    "        return 1 \n",
    "    else: \n",
    "        return x*factorial(x-1) "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "GYCnQKM9kIDI"
   },
   "source": [
    "### 11.3.4 로그 선형 복잡도"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "fCuEw0hdahbN"
   },
   "source": [
    "### 11.3.5 다항 복잡도"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "vZW2ibwSgkAC"
   },
   "source": [
    "예제 11-4 부분집합 테스트 함수"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "id": "Tble6dxWaj50"
   },
   "outputs": [],
   "source": [
    "def is_subset(L1, L2): \n",
    "    \"\"\"L1과 L2는 리스트로 가정합니다. \n",
    "       L1의 모든 원소가 L2에도 있으면 True, 그렇지 않으면 False를 반환합니다\"\"\" \n",
    "    for e1 in L1: \n",
    "        matched = False \n",
    "        for e2 in L2: \n",
    "            if e1 == e2: \n",
    "                matched = True \n",
    "                break \n",
    "        if not matched: \n",
    "            return False \n",
    "    return True "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "ZmiivEafgiz8"
   },
   "source": [
    "예제 11-5 두 리스트의 교집합 구하기"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "id": "l6Dl_3rfd_Ny"
   },
   "outputs": [],
   "source": [
    "def intersect(L1, L2): \n",
    "    \"\"\"가정: L1와 L2는 리스트입니다.\n",
    "       L1과 L2의 교집합을 반환합니다\"\"\" \n",
    "    #공통 원소를 담은 리스트를 만듭니다\n",
    "    tmp = [] \n",
    "    for e1 in L1: \n",
    "        for e2 in L2: \n",
    "            if e1 == e2: \n",
    "                tmp.append(e1) \n",
    "                break \n",
    "    #중복이 없는 리스트 만들기\n",
    "    result = [] \n",
    "    for e in tmp: \n",
    "        if e not in result: \n",
    "            result.append(e) \n",
    "    return result"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "RVwBOcc0gpGS"
   },
   "source": [
    "### 11.3.6 지수 복잡도"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "예제 11-6 멱집합 생성하기"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "id": "indoxJ32gqVO"
   },
   "outputs": [],
   "source": [
    "def get_binary_rep(n, num_digits): \n",
    "    \"\"\"n과 num_digits은 음수가 아닌 정수로 가정합니다. \n",
    "       n의 이진 표현을 num_digits 길이의 문자열로 반환합니다\"\"\" \n",
    "    result = '' \n",
    "    while n > 0: \n",
    "        result = str(n%2) + result \n",
    "        n = n//2 \n",
    "    if len(result) > num_digits: \n",
    "        raise ValueError('num_digits가 부족합니다') \n",
    "    for i in range(num_digits - len(result)): \n",
    "        result = '0' + result \n",
    "    return result \n",
    "\n",
    "def gen_powerset(L): \n",
    "    \"\"\"L은 리스트로 가정합니다. \n",
    "       L에 있는 원소로 가능한 모든 조합을 담은 리스트의 리스트를 반환합니다.\n",
    "       예를 들어 L이 [1, 2]이면 [], [1], [2], [1, 2]를 원소로 가진 리스트를 반환합니다\"\"\" \n",
    "    powerset = [] \n",
    "    for i in range(0, 2**len(L)): \n",
    "        bin_str = get_binary_rep(i, len(L)) \n",
    "        subset = [] \n",
    "        for j in range(len(L)): \n",
    "            if bin_str[j] == '1': \n",
    "                subset.append(L[j]) \n",
    "        powerset.append(subset) \n",
    "    return powerset "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "BQ7OrSrdgXja"
   },
   "source": [
    "### 11.3.7 복잡도 비교"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "8sKSBp1JggMs"
   },
   "source": [
    "그림 11-7 상수, 로그, 선형 복잡도"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 925
    },
    "id": "zAKYIN6hkOtp",
    "outputId": "4ac01d97-2dfd-44c7-a853-f0c06b762b4d"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import math\n",
    "\n",
    "x_vals = range(1, 100000, 1)\n",
    "y_const, y_log = [], []\n",
    "for x in x_vals:\n",
    "    y_const.append(15)\n",
    "    y_log.append(math.log2(x))\n",
    "plt.plot(x_vals, y_const, 'r--', label = '상수')\n",
    "plt.plot(x_vals, y_log, 'k-', label = '로그')\n",
    "plt.xlabel('입력 크기')\n",
    "plt.ylabel('시간')\n",
    "plt.title('상수 (15) vs. (밑이 2인) 로그')\n",
    "plt.legend()\n",
    "\n",
    "plt.figure()\n",
    "x_vals = range(1, 100000, 1)\n",
    "y_log, y_linear = [], []\n",
    "for x in x_vals:\n",
    "    y_linear.append(x)\n",
    "    y_log.append(math.log2(x))\n",
    "plt.plot(x_vals, y_linear, 'r--', label = '선형')\n",
    "plt.plot(x_vals, y_log, 'k-', label = '로그')\n",
    "plt.xlabel('입력 크기')\n",
    "plt.ylabel('시간')\n",
    "plt.title('(밑이 2인) 로그 vs. 선형')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "a1aWbuFNhiDB"
   },
   "source": [
    "그림 11-8 선형, 로그-선형, 다항 복잡도"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 925
    },
    "id": "SDkkUgB0gqJE",
    "outputId": "1f60efa7-9e65-4776-eeba-6cbb14056c9f"
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "x_vals = range(1, 1000, 1)\n",
    "y_log_linear, y_linear = [], []\n",
    "for x in x_vals:\n",
    "    y_linear.append(x)\n",
    "    y_log_linear.append(x*math.log2(x))\n",
    "plt.plot(x_vals, y_linear, 'r--', label = '선형')\n",
    "plt.plot(x_vals, y_log_linear, 'k-', label = '로그-선형')\n",
    "plt.xlabel('입력 크기')\n",
    "plt.ylabel('시간')\n",
    "plt.title('선형 vs. 로그-선형')\n",
    "plt.legend()\n",
    "\n",
    "plt.figure()\n",
    "x_vals = range(1, 1000, 1)\n",
    "y_log_linear, y_quadratic = [], []\n",
    "for x in x_vals:\n",
    "    y_quadratic.append(x**2)\n",
    "    y_log_linear.append(x*math.log2(x))\n",
    "plt.plot(x_vals, y_quadratic, 'r--', label = '2차 다항식')\n",
    "plt.plot(x_vals, y_log_linear, 'k-', label = '로그-선형')\n",
    "plt.xlabel('입력 크기')\n",
    "plt.ylabel('시간')\n",
    "plt.title('로그-선형 vs. 2차 다항식')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "id": "hQYbny67hc7U"
   },
   "source": [
    "그림 11-9 2차 다항식과 지수 복잡도"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "colab": {
     "base_uri": "https://localhost:8080/",
     "height": 961
    },
    "id": "1HvS8KORgypS",
    "outputId": "5e5fda9c-c541-496b-f4a2-078ab6d0dff9"
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/usr/local/lib/python3.9/dist-packages/IPython/core/pylabtools.py:151: UserWarning: Glyph 8 (\b) missing from current font.\n",
      "  fig.canvas.print_figure(bytes_io, **kw)\n"
     ]
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "x_vals = range(1, 100, 1)\n",
    "y_quad, y_exp = [], []\n",
    "for x in x_vals:\n",
    "    y_quad.append(x**2)\n",
    "    y_exp.append(2**x)\n",
    "plt.plot(x_vals, y_quad, 'r--', label = '2차 다항식')\n",
    "plt.plot(x_vals, y_exp, 'k-', label = '지수')\n",
    "plt.xlabel('\b입력 크기')\n",
    "plt.ylabel('시간')\n",
    "plt.title('2차 다항식 vs. 지수')\n",
    "plt.legend()\n",
    "\n",
    "plt.figure()\n",
    "x_vals = range(1, 100, 1)\n",
    "y_quad, y_exp = [], []\n",
    "for x in x_vals:\n",
    "    y_quad.append(x**2)\n",
    "    y_exp.append(2**x)\n",
    "plt.plot(x_vals, y_quad, 'r--', label = '2차 다항식')\n",
    "plt.plot(x_vals, y_exp, 'k-', label = '지수')\n",
    "plt.xlabel('입력 크기')\n",
    "plt.ylabel('시간')\n",
    "plt.title('2차 다항식 vs. 지수')\n",
    "plt.legend()\n",
    "plt.semilogy()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "colab": {
   "provenance": []
  },
  "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": "3.8.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}