{"id":27568,"date":"2024-10-27T14:41:59","date_gmt":"2024-10-27T14:41:59","guid":{"rendered":"http:\/\/atmokpo.com\/w\/?p=27568"},"modified":"2024-11-26T07:17:13","modified_gmt":"2024-11-26T07:17:13","slug":"c-%ec%bd%94%eb%94%a9%ed%85%8c%ec%8a%a4%ed%8a%b8-%ea%b0%95%ec%a2%8c-%ea%b5%ac%ea%b0%84-%ed%95%a9-%ea%b5%ac%ed%95%98%ea%b8%b0-3-2","status":"publish","type":"post","link":"https:\/\/atmokpo.com\/w\/27568\/","title":{"rendered":"C++ \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \uad6c\uac04 \ud569 \uad6c\ud558\uae30 3"},"content":{"rendered":"

<\/p>\n

\n

\ubb38\uc81c<\/h2>\n

\n \uc8fc\uc5b4\uc9c4 \uc815\uc218 \ubc30\uc5f4 arr<\/code>\uc640 \ub450 \uac1c\uc758 \uc815\uc218 left<\/code>, right<\/code>\uac00 \uc788\uc2b5\ub2c8\ub2e4.
\n \uc774 \ub54c, arr[left] + arr[left + 1] + ... + arr[right]<\/code>\uc758 \uac12\uc744 \uacc4\uc0b0\ud558\ub294 \ud568\uc218\ub97c \uc791\uc131\ud558\uc2dc\uc624.<\/p>\n

\ub2e8, arr<\/code>\ub294 1 \u2264 arr.length<\/code> \u2264 100,000\uc758 \ubc94\uc704\ub97c \uac00\uc9c0\uba70,
\n \uac01 \uc6d0\uc18c\ub294 -10^9 \u2264 arr[i]<\/code> \u2264 10^9\uae4c\uc9c0\uc758 \ubc94\uc704\ub97c \uac00\uc9d1\ub2c8\ub2e4.<\/p>\n

\uc5ec\ub7ec\ubd84\uc740 O(log N) \ud639\uc740 O(1)\uc758 \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub85c \uad6c\uac04 \ud569\uc744 \uad6c\ud560 \uc218 \uc788\ub294 \ud6a8\uc728\uc801\uc778 \ubc29\ubc95\uc744 \ucc3e\ub294 \uac83\uc744 \ubaa9\ud45c\ub85c \ud569\ub2c8\ub2e4.\n <\/p>\n<\/div>\n

\ubb38\uc81c \uc811\uadfc \ubc29\ubc95<\/h2>\n

\n \uad6c\uac04 \ud569 \ubb38\uc81c\ub294 \uc5ec\ub7ec \uac00\uc9c0 \ubc29\ubc95\uc73c\ub85c \ud574\uacb0\ud560 \uc218 \uc788\uc9c0\ub9cc, \ud6a8\uc728\uc801\uc778 \ubc29\ubc95\uc73c\ub85c\ub294
\n \ub204\uc801 \ud569(Prefix Sum)<\/strong>\uc744 \ud65c\uc6a9\ud55c \uc811\uadfc \ubc29\uc2dd\uc774 \uc788\uc2b5\ub2c8\ub2e4. \ub204\uc801 \ud569\uc744 \ud1b5\ud574 \uc8fc\uc5b4\uc9c4 \uad6c\uac04
\n [left, right]<\/code>\uc758 \ud569\uc744 O(1)\uc758 \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub85c \uacc4\uc0b0\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n

\uae30\ubcf8\uc801\uc778 \uc544\uc774\ub514\uc5b4\ub294 \ubc30\uc5f4\uc758 \uac01 \uc778\ub371\uc2a4\uae4c\uc9c0\uc758 \ud569\uc744 \ubbf8\ub9ac \uacc4\uc0b0\ud558\uc5ec \uc800\uc7a5\ud558\ub294 \uac83\uc785\ub2c8\ub2e4.
\n \uc774\ub97c \ud1b5\ud574 \ud2b9\uc815 \uad6c\uac04\uc758 \ud569\uc740 \ub2e4\uc74c\uacfc \uac19\uc774 \uad6c\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n

sum(left, right) = prefixSum[right] - prefixSum[left - 1]<\/code><\/p>\n

\uc5ec\uae30\uc11c prefixSum[i]<\/code>\ub294 \ubc30\uc5f4\uc758 \ucc98\uc74c\ubd80\ud130 i<\/code>\ubc88\uc9f8 \uc694\uc18c\uae4c\uc9c0\uc758 \ud569\uc785\ub2c8\ub2e4.
\n \uc774 \ubc29\ubc95\uc740 \ubc30\uc5f4\uc744 \ud55c \ubc88 \uc21c\ud68c\ud558\ub294 O(N)\uc758 \ubcf5\uc7a1\ub3c4\ub97c \uac00\uc9c0\uace0 \uc788\uc73c\uba70, \uc774\ud6c4 \uac01 \uad6c\uac04 \ud569\uc740 O(1)\ub85c \uacc4\uc0b0\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.\n <\/p>\n

\uad6c\ud604<\/h2>\n

\ucf54\ub4dc<\/h3>\n
\n#include <iostream>\n#include <vector>\n\nusing namespace std;\n\nclass SubarraySum {\npublic:\n    SubarraySum(const vector<int>& arr) {\n        int n = arr.size();\n        prefixSum.resize(n + 1);\n        prefixSum[0] = 0; \/\/ prefixSum[0]\uc740 0\uc73c\ub85c \ucd08\uae30\ud654\ud569\ub2c8\ub2e4.\n        \n        for (int i = 1; i <= n; i++) {\n            prefixSum[i] = prefixSum[i - 1] + arr[i - 1];\n        }\n    }\n\n    int getSum(int left, int right) {\n        return prefixSum[right] - prefixSum[left - 1];\n    }\n\nprivate:\n    vector<int> prefixSum; \/\/ \ub204\uc801 \ud569\uc744 \uc800\uc7a5\ud558\ub294 \ubc30\uc5f4\uc785\ub2c8\ub2e4.\n};\n\nint main() {\n    int n; \/\/ \ubc30\uc5f4\uc758 \ud06c\uae30\n    cout << \"\ubc30\uc5f4\uc758 \ud06c\uae30\ub97c \uc785\ub825\ud558\uc138\uc694: \";\n    cin >> n;\n    vector<int> arr(n);\n    cout << \"\ubc30\uc5f4\uc758 \uc6d0\uc18c\ub97c \uc785\ub825\ud558\uc138\uc694: \";\n    for (int i = 0; i < n; i++) {\n        cin >> arr[i];\n    }\n\n    SubarraySum subarray(arr);\n\n    int left, right;\n    cout << \"\uad6c\uac04\uc758 \uc67c\ucabd \uacbd\uacc4\ub97c \uc785\ub825\ud558\uc138\uc694 (1\ubd80\ud130 \uc2dc\uc791): \";\n    cin >> left;\n    cout << \"\uad6c\uac04\uc758 \uc624\ub978\ucabd \uacbd\uacc4\ub97c \uc785\ub825\ud558\uc138\uc694: \";\n    cin >> right;\n\n    int result = subarray.getSum(left, right);\n    cout << \"\uad6c\uac04 [\" << left << \", \" << right << \"]\uc758 \ud569\uc740: \" << result << endl;\n\n    return 0;\n}\n    <\/pre>\n
\ucf54\ub4dc \uc124\uba85<\/h2>\n
\ud074\ub798\uc2a4 \uc815\uc758<\/h3>\n
\nSubarraySum<\/code> \ud074\ub798\uc2a4\ub294 \uad6c\uac04 \ud569\uc744 \uacc4\uc0b0\ud558\ub294 \uae30\ub2a5\uc744 \uc81c\uacf5\ud569\ub2c8\ub2e4.
\n        \uc774 \ud074\ub798\uc2a4\uc758 \uc0dd\uc131\uc790\uc5d0\uc11c \ubc30\uce58\ub41c \ubc30\uc5f4\uc758 \uc6d0\uc18c\ub97c \uae30\ubc18\uc73c\ub85c \ub204\uc801 \ud569\uc744 \ucd08\uae30\ud654\ud569\ub2c8\ub2e4.
\n        \ubc30\uc5f4\uc758 \ud06c\uae30\ub97c \uc800\uc7a5\ud558\ub294 n<\/code> \ubcc0\uc218\ub97c \uc815\uc758\ud558\uace0, prefixSum<\/code> \ubc30\uc5f4\uc744(`[0]`\uc744 \ud558\ub098 \ud3ec\ud568\ud558\uc5ec) \uc0dd\uc131\ud569\ub2c8\ub2e4.\n    <\/p>\n
\ub204\uc801 \ud569 \uacc4\uc0b0<\/h3>\n
\n        \uc0dd\uc131\uc790 \ub0b4\ubd80\uc758 for<\/code> \ub8e8\ud504\ub97c \ud1b5\ud574 \ubc30\uc5f4\uc744 \uc21c\ud68c\ud558\uc5ec
\n        \uac01 \uc778\ub371\uc2a4\uae4c\uc9c0\uc758 \ud569\uc744 prefixSum<\/code> \ubc30\uc5f4\uc5d0 \uc800\uc7a5\ud569\ub2c8\ub2e4.
\n        \uc774\ub294 \ubc30\uc5f4\uc758 \uccab \ubc88\uc9f8 \uc778\ub371\uc2a4\ubd80\ud130 \uc2dc\uc791\ud558\uae30 \ub54c\ubb38\uc5d0 \ubc30\uc5f4\uc758 \ud06c\uae30\ubcf4\ub2e4 1 \ud070 \ud06c\uae30\ub97c \uac00\uc9c0\ub294 \uac83\uc774 \ud2b9\uc9d5\uc785\ub2c8\ub2e4.\n    <\/p>\n
\uad6c\uac04 \ud569 \uacc4\uc0b0<\/h3>\n
\ngetSum(int left, int right)<\/code> \uba54\uc18c\ub4dc\ub294 \uc8fc\uc5b4\uc9c4 left<\/code>\uc640 right<\/code> \uc778\ub371\uc2a4\ub97c
\n        \uc0ac\uc6a9\ud558\uc5ec \uad6c\uac04 \ud569\uc744 \ubc18\ud658\ud569\ub2c8\ub2e4. \ub204\uc801 \ud569 \ubc30\uc5f4\uc758 \uac12\uc744 \uc774\uc6a9\ud558\uc5ec \uac04\ub2e8\ud788
\n        prefixSum[right] - prefixSum[left - 1]<\/code> \ub85c \uad6c\uac04 \ud569\uc744 \uacc4\uc0b0\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.\n    <\/p>\n
\ud14c\uc2a4\ud2b8 \ubc0f \ud65c\uc6a9<\/h2>\n
\n        \ubcf8 \ucf54\ub4dc\ub97c \ud1b5\ud574 \uc0ac\uc6a9\uc790\ub294 \uad6c\uac04\uc758 \uc67c\ucabd\uacfc \uc624\ub978\ucabd \uacbd\uacc4\ub97c \uc785\ub825\ubc1b\uace0,
\n        \ud574\ub2f9 \uad6c\uac04\uc758 \ud569\uc744 \uc27d\uac8c \uacc4\uc0b0\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc774 \uc54c\uace0\ub9ac\uc998\uc740 \uc785\ub825 \ubc30\uc5f4\uc758 \ud06c\uae30\uac00 \ucee4\uc838\ub3c4
\n        \ub9e4\ub044\ub7fd\uac8c \ub3d9\uc791\ud558\uba70, \uad6c\uac04 \ud569\uc744 O(1)\uc758 \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub85c \uc2e0\uc18d\ud558\uac8c \ucc98\ub9ac\ud560 \uc218 \uc788\ub294 \uc7a5\uc810\uc744 \uac00\uc9d1\ub2c8\ub2e4.\n    <\/p>\n
\uacb0\ub860<\/h2>\n
\n        \uad6c\uac04 \ud569 \ubb38\uc81c\ub294 \ub2e4\uc591\ud55c \uc751\uc6a9 \ud504\ub85c\uadf8\ub7a8\uc5d0\uc11c\ub3c4 \ub110\ub9ac \uc0ac\uc6a9\ub418\uba70,
\n        \uc774\ub7ec\ud55c \ub204\uc801 \ud569 \ubc29\uc2dd\uc740 \ub370\uc774\ud130 \ubd84\uc11d, \ud1b5\uacc4 \ucc98\ub9ac \ub4f1 \uc5ec\ub7ec \ubd84\uc57c\uc5d0\uc11c \uc720\uc6a9\uc131\uc744 \ubcf4\uc5ec\uc90d\ub2c8\ub2e4.
\n        \uc774 \uac04\ub2e8\ud558\uc9c0\ub9cc \ub6f0\uc5b4\ub09c \ubc29\ubc95\uc744 \ud1b5\ud574 \ubb38\uc81c \ud574\uacb0\uc758 \ud6a8\uc728\uc131\uc744 \ub192\uc77c \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n
        \uc774 \uac15\uc88c\uac00 \uc5ec\ub7ec\ubd84\uc758 C++ \ucf54\ub529 \ud14c\uc2a4\ud2b8 \uc900\ube44\uc5d0 \ub3c4\uc6c0\uc774 \ub418\uae38 \ubc14\ub78d\ub2c8\ub2e4!\n    <\/p>\n
<\/body><\/p>\n","protected":false},"excerpt":{"rendered":"
\ubb38\uc81c \uc8fc\uc5b4\uc9c4 \uc815\uc218 \ubc30\uc5f4 arr\uc640 \ub450 \uac1c\uc758 \uc815\uc218 left, right\uac00 \uc788\uc2b5\ub2c8\ub2e4. \uc774 \ub54c, arr[left] + arr[left + 1] + … + arr[right]\uc758 \uac12\uc744 \uacc4\uc0b0\ud558\ub294 \ud568\uc218\ub97c \uc791\uc131\ud558\uc2dc\uc624. \ub2e8, arr\ub294 1 \u2264 arr.length \u2264 100,000\uc758 \ubc94\uc704\ub97c \uac00\uc9c0\uba70, \uac01 \uc6d0\uc18c\ub294 -10^9 \u2264 arr[i] \u2264 10^9\uae4c\uc9c0\uc758 \ubc94\uc704\ub97c \uac00\uc9d1\ub2c8\ub2e4. \uc5ec\ub7ec\ubd84\uc740 O(log N) \ud639\uc740 O(1)\uc758 \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub85c \uad6c\uac04 \ud569\uc744 \uad6c\ud560 \uc218 … \ub354 \ubcf4\uae30 “C++ \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \uad6c\uac04 \ud569 \uad6c\ud558\uae30 3”<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[25],"tags":[],"class_list":["post-27568","post","type-post","status-publish","format-standard","hentry","category-c---2"],"yoast_head":"\nC++ \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \uad6c\uac04 \ud569 \uad6c\ud558\uae30 3 - 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