{"id":26728,"date":"2024-10-27T11:52:12","date_gmt":"2024-10-27T11:52:12","guid":{"rendered":"http:\/\/atmokpo.com\/w\/?p=26728"},"modified":"2024-11-26T07:31:56","modified_gmt":"2024-11-26T07:31:56","slug":"%ec%9e%90%eb%b0%94-%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%b0-1","status":"publish","type":"post","link":"https:\/\/atmokpo.com\/w\/26728\/","title":{"rendered":"\uc790\ubc14 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \uad6c\uac04 \ud569 \uad6c\ud558\uae30 1"},"content":{"rendered":"<article>\n<p>\uc548\ub155\ud558\uc138\uc694! \uc624\ub298\uc740 \uc790\ubc14 \ucf54\ub529\ud14c\uc2a4\ud2b8\uc5d0\uc11c \ube48\ubc88\ud558\uac8c \ucd9c\uc81c\ub418\ub294 \uc54c\uace0\ub9ac\uc998 \uc911 \ud558\ub098\uc778 \uad6c\uac04 \ud569 \uad6c\ud558\uae30\uc5d0 \ub300\ud574 \uae4a\uc774 \uc788\uac8c \uc0b4\ud3b4\ubcf4\ub824\uace0 \ud569\ub2c8\ub2e4. \ud2b9\ud788, \uc774 \uac15\uc88c\uc5d0\uc11c\ub294 \uad6c\uac04 \ud569\uc744 \uad6c\ud558\ub294 \uc54c\uace0\ub9ac\uc998 \ubb38\uc81c\ub97c \ud558\ub098 \uc120\uc815\ud558\uc5ec \uadf8 \ud480\uc774 \uacfc\uc815\uc744 \uc790\uc138\ud788 \uc124\uba85\ud558\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n<h2>\ubb38\uc81c \uc815\uc758<\/h2>\n<p>\uc8fc\uc5b4\uc9c4 \uc815\uc218 \ubc30\uc5f4 <code>arr<\/code>\uac00 \uc788\uc744 \ub54c, \uc5ec\ub7ec \ucffc\ub9ac\uac00 \uc8fc\uc5b4\uc9d1\ub2c8\ub2e4. \uac01 \ucffc\ub9ac\ub294 \ub450 \uc815\uc218 <code>start<\/code>\uc640 <code>end<\/code>\ub97c \ud3ec\ud568\ud558\uba70, \uc774 \uacbd\uc6b0 <code>arr[start] + arr[start + 1] + ... + arr[end]<\/code>\ub97c \uad6c\ud558\ub294 \ubb38\uc81c\uc785\ub2c8\ub2e4. \uc774 \ubb38\uc81c\uc5d0\uc11c \uc694\uad6c\ud558\ub294 \uac83\uc740 \uac01 \ucffc\ub9ac\uc5d0 \ub300\ud574 \uad6c\uac04 \ud569\uc744 \ud6a8\uc728\uc801\uc73c\ub85c \uacc4\uc0b0\ud558\ub294 \uac83\uc785\ub2c8\ub2e4.<\/p>\n<h3>\ubb38\uc81c \uc608\uc2dc<\/h3>\n<pre>\n    \uc785\ub825:\n    arr = [1, 2, 3, 4, 5]\n    \ucffc\ub9ac = [[0, 2], [1, 3], [2, 4]]\n    \n    \ucd9c\ub825:\n    [6, 9, 12]\n    <\/pre>\n<h2>\ud480\uc774 \uc54c\uace0\ub9ac\uc998<\/h2>\n<p>\uc774 \ubb38\uc81c\ub97c \ud574\uacb0\ud558\uae30 \uc704\ud574\uc11c\ub294 \ubc30\uc5f4\uc5d0 \ub300\ud55c \uc5ec\ub7ec \ubc88\uc758 \uad6c\uac04 \ud569\uc744 \ud6a8\uc728\uc801\uc73c\ub85c \ucc98\ub9ac\ud560 \uc218 \uc788\uc5b4\uc57c \ud569\ub2c8\ub2e4. \uae30\ubcf8\uc801\uc73c\ub85c, \uac01 \ucffc\ub9ac\ub9c8\ub2e4 \ubc30\uc5f4\uc758 \uc77c\ubd80\ub97c \ubc18\ubcf5\ud558\uc5ec \ud569\uc0b0\ud558\ub294 \ubc29\ubc95\uc740 \ube44\ud6a8\uc728\uc801\uc77c \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc774\ub7ec\ud55c \ube44\ud6a8\uc728\uc131\uc744 \uc904\uc774\uae30 \uc704\ud574 \u201c\uad6c\uac04 \ud569 \ubc30\uc5f4\u201d\uc744 \ud65c\uc6a9\ud55c \uc811\uadfc \ubc29\ubc95\uc744 \uc18c\uac1c\ud558\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n<h3>\uad6c\uac04 \ud569 \ubc30\uc5f4 \uc124\uba85<\/h3>\n<p>\uad6c\uac04 \ud569 \ubc30\uc5f4(`prefix sum array`)\uc740 \uc8fc\uc5b4\uc9c4 \ubc30\uc5f4\uc758 \uc6d0\uc18c\ub97c \ub204\uc801\ud558\uc5ec \uc804\ucc98\ub9ac\ud558\ub294 \ubc29\ubc95\uc785\ub2c8\ub2e4. \uc774\ub97c \ud1b5\ud574 \uac01 \uad6c\uac04 \ud569\uc744 O(1)\uc758 \uc2dc\uac04 \ubcf5\uc7a1\ub3c4 \ub0b4\uc5d0 \uacc4\uc0b0\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uad6c\uac04 \ud569 \ubc30\uc5f4\uc758 \uc815\uc758\ub294 \ub2e4\uc74c\uacfc \uac19\uc2b5\ub2c8\ub2e4:<\/p>\n<pre>\n    prefix[i] = arr[0] + arr[1] + ... + arr[i]\n    <\/pre>\n<p>\uc989, <code>prefixSum[j] - prefixSum[i-1]<\/code>\ub85c \uad6c\uac04 <code>arr[i] ~ arr[j]<\/code>\uc758 \ud569\uc744 \uad6c\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc5ec\uae30\uc11c <code>prefixSum[-1]<\/code>\uc740 0\uc73c\ub85c \uac00\uc815\ud569\ub2c8\ub2e4.<\/p>\n<h3>\uad6c\ud604 \ub2e8\uacc4<\/h3>\n<ol>\n<li><strong>\uad6c\uac04 \ud569 \ubc30\uc5f4 \uc0dd\uc131<\/strong>: \uc8fc\uc5b4\uc9c4 \ubc30\uc5f4\uc744 \uc774\uc6a9\ud574 \uad6c\uac04 \ud569 \ubc30\uc5f4\uc744 \uc0dd\uc131\ud569\ub2c8\ub2e4.<\/li>\n<li><strong>\ucffc\ub9ac \ucc98\ub9ac<\/strong>: \uac01 \ucffc\ub9ac\uc5d0 \ub300\ud574 \uad6c\uac04 \ud569\uc744 O(1) \ubcf5\uc7a1\ub3c4\ub85c \uacc4\uc0b0\ud569\ub2c8\ub2e4.<\/li>\n<\/ol>\n<h2>\uc790\ubc14 \ucf54\ub4dc \uad6c\ud604<\/h2>\n<pre>\n    public class RangeSum {\n        public static void main(String[] args) {\n            int[] arr = {1, 2, 3, 4, 5};\n            int[][] queries = {{0, 2}, {1, 3}, {2, 4}};\n            int[] result = rangeSum(arr, queries);\n            \n            for (int sum : result) {\n                System.out.println(sum);\n            }\n        }\n\n        public static int[] rangeSum(int[] arr, int[][] queries) {\n            int n = arr.length;\n            int[] prefixSum = new int[n];\n            prefixSum[0] = arr[0];\n\n            \/\/ \ub204\uc801\ud569 \ubc30\uc5f4 \uc0dd\uc131\n            for (int i = 1; i &lt; n; i++) {\n                prefixSum[i] = prefixSum[i - 1] + arr[i];\n            }\n\n            int[] results = new int[queries.length];\n            for (int i = 0; i &lt; queries.length; i++) {\n                int start = queries[i][0];\n                int end = queries[i][1];\n\n                \/\/ \uad6c\uac04 \ud569 \uacc4\uc0b0\n                results[i] = (start &gt; 0) ? (prefixSum[end] - prefixSum[start - 1]) : prefixSum[end];\n            }\n\n            return results;\n        }\n    }\n    <\/pre>\n<h2>\ucf54\ub4dc \uc124\uba85<\/h2>\n<p>\uc704\uc758 \uc790\ubc14 \ucf54\ub4dc\ub294 \uc0ac\uc6a9\uc790 \uc815\uc758 \ud074\ub798\uc2a4 <code>RangeSum<\/code>\uc744 \ub9cc\ub4e4\uace0, <code>main<\/code> \uba54\uc18c\ub4dc\uc5d0\uc11c \ubc30\uc5f4\uacfc \ucffc\ub9ac\ub97c \uc815\uc758\ud569\ub2c8\ub2e4. <code>rangeSum<\/code> \uba54\uc18c\ub4dc\ub294 \uc8fc\uc5b4\uc9c4 \ubc30\uc5f4\ub85c\ubd80\ud130 \uad6c\uac04 \ud569 \ubc30\uc5f4\uc744 \ub9cc\ub4e4\uc5b4 \uac01 \ucffc\ub9ac\uc758 \uad6c\uac04 \ud569\uc744 \uacc4\uc0b0\ud558\ub294 \uae30\ub2a5\uc744 \uc218\ud589\ud569\ub2c8\ub2e4.<\/p>\n<h3>1. \ub204\uc801\ud569 \ubc30\uc5f4 \uc0dd\uc131<\/h3>\n<p>\uba3c\uc800 \uccab \ubc88\uc9f8 \uc6d0\uc18c\ub97c \ucd08\uae30\ud654\ud558\uace0, \ubc18\ubcf5\ubb38\uc744 \ud1b5\ud574 \ub204\uc801\ud569 \ubc30\uc5f4\uc744 \ub9cc\ub4ed\ub2c8\ub2e4. \uc774 \uacfc\uc815\uc740 O(n) \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub97c \uac00\uc9c0\uba70, n\uc740 \ubc30\uc5f4\uc758 \uae38\uc774\uc785\ub2c8\ub2e4.<\/p>\n<h3>2. \ucffc\ub9ac \ucc98\ub9ac<\/h3>\n<p>\uac01 \ucffc\ub9ac\uc5d0 \ub300\ud574 \ub204\uc801\ud569 \ubc30\uc5f4\uc744 \ud65c\uc6a9\ud558\uc5ec O(1)\ub85c \uad6c\uac04 \ud569\uc744 \uacc4\uc0b0\ud569\ub2c8\ub2e4. \ub370\uc774\ud130\uac00 \ub9ce\uac70\ub098 \ucffc\ub9ac\uac00 \ub9ce\uc744 \uacbd\uc6b0 \uc774 \ubc29\ubc95\uc774 \uc131\ub2a5\uc0c1 \uc720\ub9ac\ud560 \uac83\uc785\ub2c8\ub2e4.<\/p>\n<h2>\ubcf5\uc7a1\ub3c4 \ubd84\uc11d<\/h2>\n<p>\uc774 \ucf54\ub4dc\uc758 \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub294 O(n + m)\uc785\ub2c8\ub2e4. \uc5ec\uae30\uc11c n\uc740 \ubc30\uc5f4\uc758 \uae38\uc774\uc774\uace0, m\uc740 \ucffc\ub9ac\uc758 \uc218\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c \ucd08\uae30\ud654 \uacfc\uc815\uc5d0\uc11c O(n)\uc758 \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub97c \uc18c\ubaa8\ud558\uace0, \uac01 \ucffc\ub9ac\uc5d0 \ub300\ud574 O(1)\ub97c \uc18c\ubaa8\ud558\ubbc0\ub85c \uc804\uccb4 \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub294 O(n + m)\uc785\ub2c8\ub2e4. \uc774\ub97c \ud1b5\ud574 \uc900\uc218\ud55c \uc131\ub2a5\uc744 \ubcf4\uc7a5\ubc1b\uc744 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<h2>\uacb0\ub860<\/h2>\n<p>\uc624\ub298\uc740 \uc790\ubc14 \ucf54\ub529\ud14c\uc2a4\ud2b8\uc5d0\uc11c \uad6c\uac04 \ud569\uc744 \uad6c\ud558\ub294 \ubb38\uc81c\ub97c \ub2e4\ub8e8\uc5b4 \ubcf4\uc558\uc2b5\ub2c8\ub2e4. \ubc30\uc5f4\uc758 \ub204\uc801\ud569 \ubc30\uc5f4\uc744 \uc774\uc6a9\ud558\uba74 \uc5ec\ub7ec \ucffc\ub9ac\uc5d0 \ub300\ud574 \ud6a8\uc728\uc801\uc73c\ub85c \uad6c\uac04 \ud569\uc744 \uacc4\uc0b0\ud560 \uc218 \uc788\uc74c\uc744 \uc54c \uc218 \uc788\uc5c8\uc2b5\ub2c8\ub2e4. \uc2e4\uc81c \ucf54\ub529\ud14c\uc2a4\ud2b8\uc5d0 \uc751\uc6a9\ud574\ubcf4\uba74 \uc720\uc6a9\ud55c \uc54c\uace0\ub9ac\uc998\uc774\ubbc0\ub85c \uaf2d \uae30\uc5b5\ud574 \ub450\uc2dc\uae30 \ubc14\ub78d\ub2c8\ub2e4! \uc55e\uc73c\ub85c\ub3c4 \ub354 \ub9ce\uc740 \uc54c\uace0\ub9ac\uc998 \ubb38\uc81c\ud480\uc774 \uac15\uc88c\ub97c \uc900\ube44\ud558\uaca0\uc2b5\ub2c8\ub2e4. \uac10\uc0ac\ud569\ub2c8\ub2e4!<\/p>\n<\/article>\n","protected":false},"excerpt":{"rendered":"<p>\uc548\ub155\ud558\uc138\uc694! \uc624\ub298\uc740 \uc790\ubc14 \ucf54\ub529\ud14c\uc2a4\ud2b8\uc5d0\uc11c \ube48\ubc88\ud558\uac8c \ucd9c\uc81c\ub418\ub294 \uc54c\uace0\ub9ac\uc998 \uc911 \ud558\ub098\uc778 \uad6c\uac04 \ud569 \uad6c\ud558\uae30\uc5d0 \ub300\ud574 \uae4a\uc774 \uc788\uac8c \uc0b4\ud3b4\ubcf4\ub824\uace0 \ud569\ub2c8\ub2e4. \ud2b9\ud788, \uc774 \uac15\uc88c\uc5d0\uc11c\ub294 \uad6c\uac04 \ud569\uc744 \uad6c\ud558\ub294 \uc54c\uace0\ub9ac\uc998 \ubb38\uc81c\ub97c \ud558\ub098 \uc120\uc815\ud558\uc5ec \uadf8 \ud480\uc774 \uacfc\uc815\uc744 \uc790\uc138\ud788 \uc124\uba85\ud558\uaca0\uc2b5\ub2c8\ub2e4. \ubb38\uc81c \uc815\uc758 \uc8fc\uc5b4\uc9c4 \uc815\uc218 \ubc30\uc5f4 arr\uac00 \uc788\uc744 \ub54c, \uc5ec\ub7ec \ucffc\ub9ac\uac00 \uc8fc\uc5b4\uc9d1\ub2c8\ub2e4. \uac01 \ucffc\ub9ac\ub294 \ub450 \uc815\uc218 start\uc640 end\ub97c \ud3ec\ud568\ud558\uba70, \uc774 \uacbd\uc6b0 arr[start] + arr[start &hellip; <a href=\"https:\/\/atmokpo.com\/w\/26728\/\" class=\"more-link\">\ub354 \ubcf4\uae30<span class=\"screen-reader-text\"> &#8220;\uc790\ubc14 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \uad6c\uac04 \ud569 \uad6c\ud558\uae30 1&#8221;<\/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":[22],"tags":[],"class_list":["post-26728","post","type-post","status-publish","format-standard","hentry","category-22"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.2 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\uc790\ubc14 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \uad6c\uac04 \ud569 \uad6c\ud558\uae30 1 - \ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/atmokpo.com\/w\/26728\/\" \/>\n<meta property=\"og:locale\" content=\"ko_KR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\uc790\ubc14 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \uad6c\uac04 \ud569 \uad6c\ud558\uae30 1 - \ub77c\uc774\ube0c\uc2a4\ub9c8\ud2b8\" \/>\n<meta property=\"og:description\" content=\"\uc548\ub155\ud558\uc138\uc694! \uc624\ub298\uc740 \uc790\ubc14 \ucf54\ub529\ud14c\uc2a4\ud2b8\uc5d0\uc11c \ube48\ubc88\ud558\uac8c \ucd9c\uc81c\ub418\ub294 \uc54c\uace0\ub9ac\uc998 \uc911 \ud558\ub098\uc778 \uad6c\uac04 \ud569 \uad6c\ud558\uae30\uc5d0 \ub300\ud574 \uae4a\uc774 \uc788\uac8c \uc0b4\ud3b4\ubcf4\ub824\uace0 \ud569\ub2c8\ub2e4. \ud2b9\ud788, \uc774 \uac15\uc88c\uc5d0\uc11c\ub294 \uad6c\uac04 \ud569\uc744 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