jupyter/2143_두_배열의_합.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "0e4c9d43",
   "metadata": {},
   "source": [
    "### 문제\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "fc6e3ac9",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-10-28T10:10:03.300811Z",
     "start_time": "2022-10-28T10:10:03.160720Z"
    }
   },
   "outputs": [],
   "source": [
    "! # 시작시간 체크"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "894b1c2a",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8e7ebc7b",
   "metadata": {},
   "source": [
    "요약\n",
    "\n",
    "    두개의 배열 A와 B가 있다. A의 부배열과 B의 부배열의 합이 T가 되는 부배열 쌍의 개수를 구하는 문제.\n",
    "    부배열 이란? 배열 A가 1~n까지 원소가 있을 때, (1 <= i <= j <= n) 을 만족하는 i, j에 대해, A[i] ~ A[j]까지의 합.\n",
    "    즉, 부배열 이란 배열A의 내부에 연속되는 원소간의 합"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "1213eb6e",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "attachments": {
    "image.png": {
     "image/png": 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"
    }
   },
   "cell_type": "markdown",
   "id": "d1ebc0b2",
   "metadata": {},
   "source": [
    "![image.png](attachment:image.png)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3621886f",
   "metadata": {},
   "source": [
    "상상코딩\n",
    "    \n",
    "    배열 A와 B의 최대개수인 n은 1000개 이하.\n",
    "    이중 for 문으로 A를 탐색하며 부분합을 구한 A_cumsum_li를 만들고 정렬\n",
    "    이중 for 문으로 B를 탐색하며 부분합을 구한 B_cumsum_li를 만들고 정렬\n",
    "    A_cumsum_li를 set으로 중복제거하고 정렬하여, 차례로 for문을 돌며 T에서 뺀값을 t라고 하자\n",
    "    bisect_left와 bisect_right로 B_cumsum_li에서 짝지어지는 부배열 개수를 구해가며 result에 더해간다"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "50c1b0eb",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-10-28T11:20:09.805863Z",
     "start_time": "2022-10-28T11:20:09.665861Z"
    }
   },
   "outputs": [],
   "source": [
    "! # 끝 시간 체크"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "88b63096",
   "metadata": {},
   "source": [
    "### 풀이"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8820a65f",
   "metadata": {},
   "outputs": [],
   "source": [
    "from collections import Counter\n",
    "\n",
    "T = int(input())\n",
    "n = int(input())\n",
    "A = list(map(int,input().split()))\n",
    "m = int(input())\n",
    "B = list(map(int,input().split()))\n",
    "\n",
    "result=0; c = Counter()\n",
    "\n",
    "for s in range(n):\n",
    "    for e in range(s,n):\n",
    "        c[sum(A[s:e+1])] += 1\n",
    "        \n",
    "for s in range(m):\n",
    "    for e in range(s,m):\n",
    "        t = T - sum(B[s:e+1])\n",
    "        result += c[t]\n",
    "print(result)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c73eee2a",
   "metadata": {},
   "source": [
    "### 주석 달린 풀이"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "6532df5c",
   "metadata": {},
   "outputs": [],
   "source": [
    "from collections import Counter\n",
    "\n",
    "T = int(input()) # 부 배열의 합으로 만족되야 하는 값\n",
    "n = int(input()) # 배열 A의 원소 개수\n",
    "A = list(map(int,input().split())) # 배열 A\n",
    "m = int(input()) # 배열 B의 원소 개수\n",
    "B = list(map(int,input().split())) # 배열 B\n",
    "\n",
    "result = 0 # 출력할 값 0으로 초기화\n",
    "c = Counter() # 카운터 c 정의\n",
    "\n",
    "for s in range(n):\n",
    "    for e in range(s,n):\n",
    "        c[sum(A[s:e+1])] += 1 # 배열 A의 모든 부배열의 합을 카운터에 개수로 센다\n",
    "        \n",
    "for s in range(m):\n",
    "    for e in range(s,m):\n",
    "        t = T - sum(B[s:e+1]) # 타겟 값 T에서 B의 부배열합을 뺀 값이\n",
    "        result += c[t] # A의 부배열에 존재하면 result에 더해준다. 없으면 저절로 0이 나온다.\n",
    "print(result)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "573cfe68",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-10-28T11:55:46.368892Z",
     "start_time": "2022-10-28T11:55:46.359318Z"
    }
   },
   "source": [
    "해설\n",
    "\n",
    "    배열 A의 모든 부 배열의 합을 탐색하며 그 합의 값을 Key로 하고, 그 개수를 값으로하는 딕셔너리(여기선 Counter로 사용)를 c로 만듭니다.\n",
    "    배열 B의 모든 부 배열의 합을 탐색하며, T에서 B의 부 배열합을 뺀 값이 c에 존재하면 그 값을 result에 더해나갑니다."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fdb7d974",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-10-29T08:04:02.546179Z",
     "start_time": "2022-10-29T08:04:02.531714Z"
    }
   },
   "source": [
    "### bisect 풀이"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "id": "057db594",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-10-29T08:19:02.168164Z",
     "start_time": "2022-10-29T08:18:56.565370Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5\n",
      "4\n",
      "1 3 1 2\n",
      "3\n",
      "1 3 2\n",
      "30\n"
     ]
    }
   ],
   "source": [
    "import bisect\n",
    "\n",
    "T = int(input()) # 부 배열의 합으로 만족되야 하는 값\n",
    "n = int(input()) # 배열 A의 원소 개수\n",
    "A = list(map(int,input().split())) # 배열 A\n",
    "m = int(input()) # 배열 B의 원소 개수\n",
    "B = list(map(int,input().split())) # 배열 B\n",
    "\n",
    "result = 0 # 출력할 값 0으로 초기화\n",
    "Asum,Bsum=A,B\n",
    "\n",
    "for s in range(n):\n",
    "    for e in range(s+1,n):\n",
    "        Asum.append(sum(A[s:e+1])) # 배열 A의 모든 부배열의 합을 추가해준다.\n",
    "for s in range(m):\n",
    "    for e in range(s+1,m):\n",
    "        Bsum.append(sum(B[s:e+1]))# 배열 A의 모든 부배열의 합을 추가해준다.\n",
    "\n",
    "Asum.sort();Bsum.sort()\n",
    "\n",
    "for i in range(len(Asum)):\n",
    "    l = bisect.bisect_left(Bsum, T-Asum[i])\n",
    "    r = bisect.bisect_right(Bsum, T-Asum[i])\n",
    "    result+=r-l\n",
    "print(result)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "id": "9a3fddab",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-10-29T08:58:41.026219Z",
     "start_time": "2022-10-29T08:58:41.014721Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7]"
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Bsum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "id": "aefbf994",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-10-29T08:58:27.014779Z",
     "start_time": "2022-10-29T08:58:26.996433Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1, 1, 1, 2, 2, 3, 3, 3, 4, 4, 4, 5, 5, 6, 6, 7]"
      ]
     },
     "execution_count": 69,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Asum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "id": "5487783b",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-10-29T09:02:15.888188Z",
     "start_time": "2022-10-29T09:02:15.873215Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1, 3, 1, 2, 4, 5, 7, 4, 6, 3]"
      ]
     },
     "execution_count": 78,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Asum = A\n",
    "for s in range(n):\n",
    "    for e in range(s+1,n):\n",
    "        Asum.append(sum(A[s:e+1])) # 배열 A의 모든 부배열의 합을 추가해준다.\n",
    "Asum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "id": "b78591e4",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-10-29T09:00:59.603583Z",
     "start_time": "2022-10-29T09:00:59.576471Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1, 4, 5, 7, 3, 4, 6, 1, 3, 2]"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Aarr=A\n",
    "Asum = []\n",
    "for i in range(n):  #O(A*(A-1)/2)\n",
    "    s = Aarr[i]\n",
    "    Asum.append(s)\n",
    "    for j in range(i+1,n):\n",
    "        s+=Aarr[j]\n",
    "        Asum.append(s)\n",
    "\n",
    "Asum"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "8120cc47",
   "metadata": {},
   "outputs": [],
   "source": [
    "import bisect\n",
    "T = int(input())\n",
    "N = int(input())\n",
    "Aarr = list(map(int,input().split()))\n",
    "M = int(input())\n",
    "Barr = list(map(int,input().split()))\n",
    "Asum = []\n",
    "Bsum = []\n",
    "for i in range(N):  #O(A*(A-1)/2)\n",
    "    s = Aarr[i]\n",
    "    Asum.append(s)\n",
    "    for j in range(i+1,N):\n",
    "        s+=Aarr[j]\n",
    "        Asum.append(s)\n",
    "for i in range(M):  #O(B*(B-1)/2)\n",
    "    s = Barr[i]\n",
    "    Bsum.append(s)\n",
    "    for j in range(i+1,M):\n",
    "        s+=Barr[j]\n",
    "        Bsum.append(s)\n",
    "Asum.sort()\n",
    "Bsum.sort()\n",
    "answer = 0\n",
    "for i in range(len(Asum)):\n",
    "    l = bisect.bisect_left(Bsum,T-Asum[i])\n",
    "    r = bisect.bisect_right(Bsum,T-Asum[i])\n",
    "    answer+=r-l\n",
    "print(answer)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8ed2b958",
   "metadata": {},
   "source": [
    "### 연습"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "4e8be875",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-10-28T11:36:44.875203Z",
     "start_time": "2022-10-28T11:36:44.858696Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(4, [1, 3, 1, 2], 3, [1, 3, 2])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n,A,m,B"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "7bda4f7e",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-10-28T11:36:36.755047Z",
     "start_time": "2022-10-28T11:36:31.462139Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "5\n",
      "4\n",
      "1 3 1 2\n",
      "3\n",
      "1 3 2\n"
     ]
    }
   ],
   "source": [
    "from collections import Counter\n",
    "T = int(input())\n",
    "n=int(input())\n",
    "A=list(map(int,input().split()))\n",
    "m=int(input())\n",
    "B=list(map(int,input().split()))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "id": "9a9fc9f9",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-10-28T13:02:14.998523Z",
     "start_time": "2022-10-28T13:02:14.988299Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Counter()"
      ]
     },
     "execution_count": 62,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c = Counter()\n",
    "c"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "id": "59243e87",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-10-28T13:02:25.503328Z",
     "start_time": "2022-10-28T13:02:25.494026Z"
    }
   },
   "outputs": [],
   "source": [
    "c[1] += 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "id": "07a6d107",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-10-28T13:02:25.769690Z",
     "start_time": "2022-10-28T13:02:25.764532Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Counter({1: 1})"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "id": "b9d64ead",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-10-28T13:02:28.480977Z",
     "start_time": "2022-10-28T13:02:28.466664Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 65,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c[1283719837]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "id": "430e8b98",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-10-28T13:03:52.365027Z",
     "start_time": "2022-10-28T13:03:52.359399Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0 0\n",
      "0 1\n",
      "0 2\n",
      "0 3\n",
      "0 4\n",
      "1 1\n",
      "1 2\n",
      "1 3\n",
      "1 4\n",
      "2 2\n",
      "2 3\n",
      "2 4\n",
      "3 3\n",
      "3 4\n",
      "4 4\n"
     ]
    }
   ],
   "source": [
    "n=5\n",
    "\n",
    "for s in range(n):\n",
    "    for e in range(s,n):\n",
    "        print(s,e)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "id": "bcfbcb76",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-10-28T11:41:48.044747Z",
     "start_time": "2022-10-28T11:41:48.038577Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Counter({1: 2, 4: 2, 5: 1, 7: 1, 3: 2, 6: 1, 2: 1})"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "c"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "id": "adf85f4b",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-10-28T11:41:49.420350Z",
     "start_time": "2022-10-28T11:41:49.417545Z"
    }
   },
   "outputs": [],
   "source": [
    "result=0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "id": "b36555cb",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-10-28T11:41:49.839390Z",
     "start_time": "2022-10-28T11:41:49.833843Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "4 2\n",
      "1 2\n",
      "-1 0\n",
      "2 1\n",
      "0 0\n",
      "3 2\n"
     ]
    }
   ],
   "source": [
    "for s in range(m):\n",
    "    for e in range(s,m):\n",
    "        t=T-sum(B[s:e+1])\n",
    "        print(t, c[t])\n",
    "        result+=c[t]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "id": "665aa170",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2022-10-28T11:41:50.442740Z",
     "start_time": "2022-10-28T11:41:50.426284Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "7"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "result"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
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  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
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   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.11"
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  "toc": {
   "base_numbering": 1,
   "nav_menu": {},
   "number_sections": true,
   "sideBar": true,
   "skip_h1_title": false,
   "title_cell": "Table of Contents",
   "title_sidebar": "Contents",
   "toc_cell": false,
   "toc_position": {},
   "toc_section_display": true,
   "toc_window_display": false
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 },
 "nbformat": 4,
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