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<\/p>\n

\uc548\ub155\ud558\uc138\uc694! \uc774\ubc88 \uac15\uc88c\uc5d0\uc11c\ub294 \uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8 \ucf54\ub529 \ud14c\uc2a4\ud2b8\uc5d0\uc11c \uc790\uc8fc \ucd9c\uc81c\ub418\ub294 “\uad6c\uac04 \ud569” \ubb38\uc81c\ub97c \uc2ec\ub3c4 \uc788\uac8c \ub2e4\ub904\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \uad6c\uac04 \ud569 \ubb38\uc81c\ub294 \uc8fc\uc5b4\uc9c4 \uc218\uc5f4\uc5d0\uc11c \uc784\uc758\uc758 \uad6c\uac04\uc758 \ud569\uc744 \ud6a8\uc728\uc801\uc73c\ub85c \uad6c\ud558\ub294 \ubb38\uc81c\ub85c, \ub2e4\uc591\ud55c \ucd5c\uc801\ud654 \uae30\ubc95\uc744 \ud1b5\ud574 \ud574\uacb0\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc6b0\ub9ac\uac00 \ub2e4\ub8f0 \uad6c\uac04 \ud569 \ubb38\uc81c\ub294 \ud2b9\ud788 \ubc30\uc5f4\uc758 \ud06c\uae30\uac00 \ud074 \ub54c \uc2dc\uac04\uc774 \ub9ce\uc774 \uc18c\uc694\ub420 \uc218 \uc788\uae30 \ub54c\ubb38\uc5d0, \ubcf4\ub2e4 \ud6a8\uc728\uc801\uc778 \uc54c\uace0\ub9ac\uc998\uc744 \uc124\uacc4\ud558\ub294 \uac83\uc774 \uc911\uc694\ud569\ub2c8\ub2e4.<\/p>\n

\ubb38\uc81c \uc18c\uac1c<\/h2>\n
\ub2e4\uc74c\uc740 \uad6c\uac04 \ud569\uc5d0 \uad00\ud55c \ubb38\uc81c\uc785\ub2c8\ub2e4:<\/p>\n

\ubb38\uc81c \uc124\uba85<\/h3>\n

\uc815\uc218\ub85c \uc774\ub8e8\uc5b4\uc9c4 \ubc30\uc5f4 arr<\/code>\uc640 \uc5ec\ub7ec \uc30d\uc758 \uc815\uc218 (l, r)<\/code>\uc774 \uc8fc\uc5b4\uc9d1\ub2c8\ub2e4. \uac01 \uc30d\uc740 \uad6c\uac04\uc758 \uc2dc\uc791\uc810 l<\/code>\uacfc \ub05d\uc810 r<\/code>\uc744 \ub098\ud0c0\ub0c5\ub2c8\ub2e4. arr[l] + arr[l + 1] + ... + arr[r]<\/code>\uc758 \ud569\uc744 \uad6c\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624. \ubc30\uc5f4\uc758 \uae38\uc774\uc640 \uc30d\uc758 \uac1c\uc218\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4:<\/p>\n

\n1 \u2264 arr.length<\/code> \u2264 10^{6<\/sup><\/li>\n}
1 \u2264 l<\/code>, r<\/code> \u2264 arr.length<\/code><\/li>\n
0 \u2264 arr[i]<\/code> \u2264 10^{9<\/sup><\/li>\n<\/ul>\n\uc608\ub97c \ub4e4\uc5b4, \ubc30\uc5f4 arr = [1, 2, 3, 4, 5]<\/code>\uc774\uace0, \uc30d (1, 3)<\/code>\uc774 \uc8fc\uc5b4\uc84c\ub2e4\uba74, \uad6c\uac04 \ud569\uc740 arr[1] + arr[2] + arr[3] = 2 + 3 + 4 = 9<\/code>\uc785\ub2c8\ub2e4.<\/p>\n
\ubb38\uc81c \uc811\uadfc \ubc29\ubc95<\/h2>\n\uc774 \ubb38\uc81c\ub97c \ud6a8\uc728\uc801\uc73c\ub85c \ud574\uacb0\ud558\uae30 \uc704\ud574\uc11c\ub294 \ub2e8\uc21c\ud788 \ubc18\ubcf5\ubb38\uc744 \ud1b5\ud574 \uac01 \uad6c\uac04\uc758 \ud569\uc744 \uacc4\uc0b0\ud558\ub294 \uac83\uc740 \uc801\uc808\ud558\uc9c0 \uc54a\uc2b5\ub2c8\ub2e4. \uc774\uc720\ub294 \ucd5c\uc545\uc758 \uacbd\uc6b0 O(N * M)\uc758 \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub97c \uac00\uc9c0\uac8c \ub418\ubbc0\ub85c, \ub370\uc774\ud130\uc758 \ud06c\uae30\uac00 \ud06c\uba74 \uc9c0\uc218\uc801\uc73c\ub85c \uc2dc\uac04\uc774 \ub298\uc5b4\ub0a0 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ub300\uc2e0\uc5d0 \ub354 \ud6a8\uacfc\uc801\uc778 \uc811\uadfc \ubc29\ubc95\uc744 \uc0ac\uc6a9\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n
\uc804\ucc98\ub9ac \uae30\ubc95: \ub204\uc801 \ud569 \ubc30\uc5f4<\/h3>\n\uad6c\uac04 \ud569 \ubb38\uc81c\ub97c \ud574\uacb0\ud558\uae30 \uc704\ud55c \ubc29\ubc95 \uc911 \ud558\ub098\ub294 \ub204\uc801 \ud569 \ubc30\uc5f4(Prefix Sum Array)\uc744 \ub9cc\ub4dc\ub294 \uac83\uc785\ub2c8\ub2e4. \ub204\uc801 \ud569 \ubc30\uc5f4\uc744 \uc0ac\uc6a9\ud558\uba74, \uad6c\uac04\uc758 \ud569\uc744 O(1)\ub85c \uacc4\uc0b0\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ub204\uc801 \ud569 \ubc30\uc5f4\uc758 \uc815\uc758\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4:<\/p>\n
prefix[i] = arr[0] + arr[1] + ... + arr[i-1]<\/code><\/pre>\n\ub530\ub77c\uc11c, \uad6c\uac04 (l, r)<\/code>\uc758 \ud569\uc740 \ub2e4\uc74c\uacfc \uac19\uc774 \uacc4\uc0b0\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4:<\/p>\n
sum(l, r) = prefix[r + 1] - prefix[l]<\/code><\/pre>\n\uc774\ub97c \ud1b5\ud574 \uac01 \uc30d\uc758 \uad6c\uac04 \ud569\uc744 O(1) \uc2dc\uac04 \uc548\uc5d0 \uad6c\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc804\uccb4 \uc54c\uace0\ub9ac\uc998\uc758 \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub294 O(N + M)\uc774 \ub418\uba70, \uc5ec\uae30\uc11c N\uc740 \ubc30\uc5f4\uc758 \ud06c\uae30, M\uc740 \uc30d\uc758 \uac1c\uc218\uc785\ub2c8\ub2e4.<\/p>\n
\uad6c\ud604 \ub2e8\uacc4<\/h2>\n\uc774\uc81c \ub204\uc801 \ud569 \ubc30\uc5f4\uc744 \uc0ac\uc6a9\ud558\uc5ec \ubb38\uc81c\ub97c \ud574\uacb0\ud558\ub294 \uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8 \ucf54\ub4dc\ub97c \uad6c\ud604\ud574\ubcf4\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n
1\ub2e8\uacc4: \ub204\uc801 \ud569 \ubc30\uc5f4 \uc0dd\uc131<\/h3>\n\nfunction createPrefixSum(arr) {\n    const prefix = new Array(arr.length + 1).fill(0);\n    for (let i = 0; i < arr.length; i++) {\n        prefix[i + 1] = prefix[i] + arr[i];\n    }\n    return prefix;\n}\n<\/code><\/pre>\n2\ub2e8\uacc4: \uad6c\uac04 \ud569 \uacc4\uc0b0<\/h3>\n\nfunction rangeSum(prefix, l, r) {\n    return prefix[r + 1] - prefix[l];\n}\n<\/code><\/pre>\n3\ub2e8\uacc4: \uba54\uc778 \ud568\uc218 \uad6c\ud604<\/h3>\n\nfunction calculateRangeSums(arr, queries) {\n    const prefix = createPrefixSum(arr);\n    const results = [];\n    for (let [l, r] of queries) {\n        results.push(rangeSum(prefix, l - 1, r - 1)); \/\/ 1-based to 0-based\n    }\n    return results;\n}\n\n\/\/ \uc608\uc2dc \uc0ac\uc6a9\nconst arr = [1, 2, 3, 4, 5];\nconst queries = [[1, 3], [2, 5], [0, 2]];\nconst results = calculateRangeSums(arr, queries);\nconsole.log(results); \/\/ [9, 14, 6]\n<\/code><\/pre>\n\uacb0\uacfc \ubd84\uc11d<\/h2>\n\uc704 \ucf54\ub4dc\ub294 \uc8fc\uc5b4\uc9c4 \ubc30\uc5f4\uacfc \ucffc\ub9ac\ub97c \uae30\ubc18\uc73c\ub85c \ub9e4 \ucffc\ub9ac\uc758 \uad6c\uac04 \ud569\uc744 \ud6a8\uc728\uc801\uc73c\ub85c \uacc4\uc0b0\ud558\uc5ec \uacb0\uacfc\ub97c \ucd9c\ub825\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc785\ub2c8\ub2e4. \uacb0\uacfc\uc801\uc73c\ub85c \uad6c\uac04 \ud569\uc744 \ube60\ub974\uac8c \uad6c\ud560 \uc218 \uc788\uc73c\uba70, \ubc30\uc5f4\uc758 \ud06c\uae30\ub098 \ucffc\ub9ac \uac1c\uc218\uc5d0 \ub530\ub77c \uc131\ub2a5\uc774 \uc800\ud558\ub418\uc9c0 \uc54a\uc2b5\ub2c8\ub2e4.<\/p>\n
\uc2dc\uac04 \ubcf5\uc7a1\ub3c4<\/h3>\n\ubcf8 \uc54c\uace0\ub9ac\uc998\uc758 \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4:<\/p>\n
\n\ub204\uc801 \ud569 \ubc30\uc5f4 \uc0dd\uc131: O(N)<\/li>\n
\uac01 \ucffc\ub9ac \ucc98\ub9ac: O(1) (M\uac1c \ucffc\ub9ac \ucc98\ub9ac \uc804\ubd80 \ud569\uce58\uba74 O(M))<\/li>\n<\/ul>\n\uacb0\uacfc\uc801\uc73c\ub85c \uc804\uccb4 \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub294 O(N + M)\uc774\uba70, \uc774\ub294 \ub9e4\uc6b0 \ud6a8\uc728\uc801\uc778 \uc218\uc900\uc785\ub2c8\ub2e4.<\/p>\n
\uacb0\ub860<\/h2>\n\uc774\uc81c \uad6c\uac04 \ud569 \ubb38\uc81c\ub97c \ub204\uc801 \ud569 \ubc30\uc5f4\uc744 \uc0ac\uc6a9\ud558\uc5ec \ud6a8\uc728\uc801\uc73c\ub85c \ud574\uacb0\ud558\ub294 \ubc29\ubc95\uc744 \ubc30\uc6e0\uc2b5\ub2c8\ub2e4. \ucf54\ub529 \ud14c\uc2a4\ud2b8\uc5d0\uc11c \uad6c\uac04 \ud569 \ubb38\uc81c\ub294 \uc790\uc8fc \ucd9c\uc81c\ub418\ub294 \uc8fc\uc81c\uc774\ubbc0\ub85c, \uc774\uc640 \uac19\uc740 \ucd5c\uc801\ud654 \uae30\ubc95\uc744 \uc774\ud574\ud558\uace0 \ud65c\uc6a9\ud558\ub294 \uac83\uc774 \uc911\uc694\ud569\ub2c8\ub2e4. \uc5f0\uc2b5\uc744 \ud1b5\ud574 \ub2e4\uc591\ud55c \uc720\ud615\uc758 \ubb38\uc81c\ub97c \ud574\uacb0\ud574 \ubcf4\uc2dc\uae30 \ubc14\ub78d\ub2c8\ub2e4!<\/p>\n
\ucd94\uac00 \uc5f0\uc2b5 \ubb38\uc81c<\/h3>\n\ub2e4\uc74c\uacfc \uac19\uc740 \ubcc0\ud615 \ubb38\uc81c\ub97c \uc5f0\uc2b5\ud574\ubcf4\uc138\uc694:<\/p>\n
\n\uad6c\uac04 \ud569 \ub300\uc2e0 \uad6c\uac04\uc758 \ucd5c\ub300\uac12\uc744 \uad6c\ud558\ub294 \ubb38\uc81c<\/li>\n
\uad6c\uac04\uc758 \uacf1\uc744 \uad6c\ud558\ub294 \ubb38\uc81c (\ub2e8, \ub098\ub204\uae30 \uc5f0\uc0b0\uc744 \uace0\ub824\ud574\uc57c \ud560 \uc218\ub3c4 \uc788\uc74c)<\/li>\n
\ub2e4\uc591\ud55c \ucffc\ub9ac(\uc608: \uad6c\uac04 \uc99d\uac00, \uac10\uc18c \ub4f1)\uac00 \uc8fc\uc5b4\uc9c8 \ub54c \uc5b4\ub5bb\uac8c \ucc98\ub9ac\ud560 \uac83\uc778\uc9c0 \uace0\ubbfc\ud574\ubcf4\uae30<\/li>\n<\/ul>\n\uc704 \ub0b4\uc6a9\uc744 \ubc14\ud0d5\uc73c\ub85c \ub2e4\uc591\ud55c \ubb38\uc81c\ub97c \ud574\uacb0\ud574 \ubcf4\uc2dc\uae38 \ubc14\ub78d\ub2c8\ub2e4. \uac10\uc0ac\ud569\ub2c8\ub2e4!<\/p>\n
<\/body><\/p>\n","protected":false},"excerpt":{"rendered":"
\uc548\ub155\ud558\uc138\uc694! \uc774\ubc88 \uac15\uc88c\uc5d0\uc11c\ub294 \uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8 \ucf54\ub529 \ud14c\uc2a4\ud2b8\uc5d0\uc11c \uc790\uc8fc \ucd9c\uc81c\ub418\ub294 “\uad6c\uac04 \ud569” \ubb38\uc81c\ub97c \uc2ec\ub3c4 \uc788\uac8c \ub2e4\ub904\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \uad6c\uac04 \ud569 \ubb38\uc81c\ub294 \uc8fc\uc5b4\uc9c4 \uc218\uc5f4\uc5d0\uc11c \uc784\uc758\uc758 \uad6c\uac04\uc758 \ud569\uc744 \ud6a8\uc728\uc801\uc73c\ub85c \uad6c\ud558\ub294 \ubb38\uc81c\ub85c, \ub2e4\uc591\ud55c \ucd5c\uc801\ud654 \uae30\ubc95\uc744 \ud1b5\ud574 \ud574\uacb0\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc6b0\ub9ac\uac00 \ub2e4\ub8f0 \uad6c\uac04 \ud569 \ubb38\uc81c\ub294 \ud2b9\ud788 \ubc30\uc5f4\uc758 \ud06c\uae30\uac00 \ud074 \ub54c \uc2dc\uac04\uc774 \ub9ce\uc774 \uc18c\uc694\ub420 \uc218 \uc788\uae30 \ub54c\ubb38\uc5d0, \ubcf4\ub2e4 \ud6a8\uc728\uc801\uc778 \uc54c\uace0\ub9ac\uc998\uc744 \uc124\uacc4\ud558\ub294 \uac83\uc774 \uc911\uc694\ud569\ub2c8\ub2e4. \ubb38\uc81c … \ub354 \ubcf4\uae30 “\uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \uad6c\uac04 \ud569”<\/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":[26],"tags":[],"class_list":["post-27871","post","type-post","status-publish","format-standard","hentry","category-26"],"yoast_head":"\n\uc790\ubc14\uc2a4\ud06c\ub9bd\ud2b8 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \uad6c\uac04 \ud569 - 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