{"id":26724,"date":"2024-10-27T11:52:10","date_gmt":"2024-10-27T11:52:10","guid":{"rendered":"http:\/\/atmokpo.com\/w\/?p=26724"},"modified":"2024-11-26T07:31:59","modified_gmt":"2024-11-26T07:31:59","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-%ea%b3%b1-%ea%b5%ac%ed%95%98%ea%b8%b0","status":"publish","type":"post","link":"https:\/\/atmokpo.com\/w\/26724\/","title":{"rendered":"\uc790\ubc14 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \uad6c\uac04 \uacf1 \uad6c\ud558\uae30"},"content":{"rendered":"

<\/p>\n

\uc548\ub155\ud558\uc138\uc694! \uc774\ubc88 \ud3ec\uc2a4\ud305\uc5d0\uc11c\ub294 \uad6c\uac04 \uacf1 \uad6c\ud558\uae30 \ubb38\uc81c\ub97c \ud574\uacb0\ud558\ub294 \ubc29\ubc95\uc5d0 \ub300\ud574 \uc54c\uc544\ubcf4\uaca0\uc2b5\ub2c8\ub2e4. \uc774 \ubb38\uc81c\ub294 \uc8fc\uc5b4\uc9c4 \ubc30\uc5f4\uc5d0\uc11c \ud2b9\uc815 \uad6c\uac04\uc758 \uacf1\uc744 \ube60\ub974\uac8c \uacc4\uc0b0\ud558\ub294 \uc54c\uace0\ub9ac\uc998\uc744 \uad6c\ud604\ud558\ub294 \uac83\uc744 \ubaa9\ud45c\ub85c \ud569\ub2c8\ub2e4. \uc774 \uac15\uc88c\uc5d0\uc11c\ub294 \ubb38\uc81c \uc815\uc758\ubd80\ud130 \uc2dc\uc791\ud558\uc5ec, \uc811\uadfc \ubc29\uc2dd, \uad6c\ud604, \uadf8\ub9ac\uace0 \uc131\ub2a5 \ubd84\uc11d\uae4c\uc9c0 \ub2e8\uacc4\uc801\uc73c\ub85c \uc9c4\ud589\ub429\ub2c8\ub2e4.<\/p>\n

\ubb38\uc81c \uc815\uc758<\/h2>\n

\uc8fc\uc5b4\uc9c4 \uc815\uc218 \ubc30\uc5f4 nums<\/code>\uc640 \uc5ec\ub7ec \ucffc\ub9ac (i, j)<\/code>\uac00 \uc788\uc744 \ub54c, \ubc30\uc5f4\uc758 \uc778\ub371\uc2a4 i<\/code>\ubd80\ud130 j<\/code>\uae4c\uc9c0\uc758 \uacf1\uc744 \uad6c\ud574\uc57c \ud569\ub2c8\ub2e4. \uc774\ub97c \uc5ec\ub7ec \ubc88 \ubc18\ubcf5\ud574\uc57c \ud558\ubbc0\ub85c, \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub97c \uace0\ub824\ud558\uc5ec \ud6a8\uc728\uc801\uc778 \ubc29\ubc95\uc774 \ud544\uc694\ud569\ub2c8\ub2e4.<\/p>\n

\uc608\uc81c<\/h2>\n
\uc785\ub825:\nnums = [1, 2, 3, 4, 5]\n\ucffc\ub9ac = [(0, 1), (1, 3), (0, 4)]\n\n\ucd9c\ub825:\n\ucffc\ub9ac 0: 1 * 2 = 2\n\ucffc\ub9ac 1: 2 * 3 * 4 = 24\n\ucffc\ub9ac 2: 1 * 2 * 3 * 4 * 5 = 120\n<\/code><\/pre>\n
\uc811\uadfc \ubc29\ubc95<\/h2>\n
\uc9c1\uad00\uc801\uc73c\ub85c\ub294 \uac01 \ucffc\ub9ac\uc5d0 \ub300\ud574 nums<\/code> \ubc30\uc5f4\uc5d0\uc11c \uc9c1\uc811 \uacf1\uc744 \uacc4\uc0b0\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ud558\uc9c0\ub9cc \uc774\ub294 \ucd5c\uc545\uc758 \uacbd\uc6b0 O(n) \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub97c \uc694\uad6c\ud558\ubbc0\ub85c \uc5ec\ub7ec \ucffc\ub9ac\ub97c \uc218\ud589\ud560 \ub54c \ube44\ud6a8\uc728\uc801\uc785\ub2c8\ub2e4. \ub530\ub77c\uc11c \uc544\ub798\uc640 \uac19\uc740 \ub450 \uac00\uc9c0 \uc811\uadfc \ubc29\ubc95\uc744 \uace0\ub824\ud574\ubcfc \uc218 \uc788\uc2b5\ub2c8\ub2e4:<\/p>\n
    \n
  1. \ub204\uc801 \uacf1 \ubc30\uc5f4 (Prefix Product Array)<\/strong>: \ubc30\uc5f4\uc758 \ub204\uc801 \uacf1\uc744 \ubbf8\ub9ac \uacc4\uc0b0\ud55c \ud6c4, \uac01 \ucffc\ub9ac\uc5d0 \ub300\ud574 O(1)\ub85c \ub0a8\uc740 \uacf1\uc744 \ube60\ub974\uac8c \uacc4\uc0b0\ud558\ub294 \ubc29\ubc95\uc785\ub2c8\ub2e4. \uc774 \ubc29\ubc95\uc740 O(n)\uc73c\ub85c \ub204\uc801 \uacf1 \ubc30\uc5f4\uc744 \uc900\ube44\ud55c \ud6c4, \uac01 \ucffc\ub9ac\uc5d0\uc11c O(1)\uc5d0 \uacc4\uc0b0\ud558\uc5ec \ucd1d O(n + m) (\uc5ec\uae30\uc11c m\uc740 \ucffc\ub9ac\uc758 \uac1c\uc218) \uc774 \ub420 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/li>\n
  2. \uc138\uadf8\uba3c\ud2b8 \ud2b8\ub9ac (Segment Tree)<\/strong>: \ub354 \uc77c\ubc18\uc801\uc778 \ubc29\ubc95\uc73c\ub85c, \uc138\uadf8\uba3c\ud2b8 \ud2b8\ub9ac\ub97c \uc0ac\uc6a9\ud558\uc5ec \uac01 \uad6c\uac04\uc758 \uacf1\uc744 \ud6a8\uc728\uc801\uc73c\ub85c \uacc4\uc0b0\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4. \uc774 \uacbd\uc6b0 \ucd08\uae30\ud654\ub294 O(n log n)\uc774\uace0 \ucffc\ub9ac\ub294 O(log n)\uc785\ub2c8\ub2e4.<\/li>\n<\/ol>\n
    \uc774\ubc88 \uac15\uc88c\uc5d0\uc11c\ub294 \uccab \ubc88\uc9f8 \ubc29\ubc95\uc778 \ub204\uc801 \uacf1 \ubc30\uc5f4\uc744 \uc0ac\uc6a9\ud55c \uad6c\ud604\uc744 \uc9c4\ud589\ud558\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n
    \uad6c\ud604<\/h2>\n
    \uba3c\uc800, \ub204\uc801 \uacf1 \ubc30\uc5f4\uc744 \uc0dd\uc131\ud55c \ub2e4\uc74c, \uac01 \ucffc\ub9ac\ub9c8\ub2e4 \ud574\ub2f9 \uad6c\uac04\uc758 \uacf1\uc744 \uacc4\uc0b0\ud574\ubcf4\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n
    public class RangeProduct {\n    public static void main(String[] args) {\n        int[] nums = {1, 2, 3, 4, 5};\n        int[][] queries = {{0, 1}, {1, 3}, {0, 4}};\n        int[] result = rangeProduct(nums, queries);\n        \n        for (int res : result) {\n            System.out.println(res);\n        }\n    }\n\n    public static int[] rangeProduct(int[] nums, int[][] queries) {\n        int n = nums.length;\n        int[] prefixProduct = new int[n + 1];\n        \n        \/\/ \ub204\uc801 \uacf1 \ubc30\uc5f4 \uc0dd\uc131\n        prefixProduct[0] = 1; \/\/ \ucd08\uae30\uac12\n        for (int i = 1; i <= n; i++) {\n            prefixProduct[i] = prefixProduct[i - 1] * nums[i - 1];\n        }\n        \n        int[] result = new int[queries.length];\n\n        \/\/ \ucffc\ub9ac \ucc98\ub9ac\n        for (int q = 0; q < queries.length; q++) {\n            int i = queries[q][0];\n            int j = queries[q][1];\n            \/\/ \uad6c\uac04\uacf1 \uacc4\uc0b0\n            result[q] = prefixProduct[j + 1] \/ prefixProduct[i]; \/\/ 0 ~ j\uc758 \uacf1 \/ 0 ~ (i-1)\uc758 \uacf1\n        }\n        \n        return result;\n    }\n}\n<\/code><\/pre>\n
    \uc131\ub2a5 \ubd84\uc11d<\/h2>\n
    \uc704\uc758 \ud480\uc774\ub294 \ud6a8\uc728\uc801\uc73c\ub85c \ucffc\ub9ac\ub97c \ucc98\ub9ac\ud560 \uc218 \uc788\ub294 \ubc29\ubc95\uc744 \ubcf4\uc5ec\uc90d\ub2c8\ub2e4. \ucd08\uae30 \ub204\uc801 \uacf1 \ubc30\uc5f4\uc744 \ub9cc\ub4dc\ub294 \ub370 O(n)\uc2dc\uac04\uc774 \uac78\ub9ac\uba70, \uac01 \ucffc\ub9ac \ucc98\ub9ac \uc2dc\uac04\uc740 O(1)\uc785\ub2c8\ub2e4. \ucd1d \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub294 O(n + m)\uc774 \ub429\ub2c8\ub2e4. \uc774 \ubc29\ubc95\uc740 querry \uc218\uac00 \ub9ce\uc544\uc9c8\uc218\ub85d \ud6a8\uc728\uc801\uc778 \uc131\ub2a5\uc744 \ubcf4\uc5ec\uc90d\ub2c8\ub2e4.<\/p>\n
    \ub9c8\ubb34\ub9ac<\/h2>\n
    \uc774\ubc88 \uac15\uc88c\uc5d0\uc11c\ub294 \uad6c\uac04 \uacf1 \uad6c\ud558\uae30 \ubb38\uc81c\ub97c \ud574\uacb0\ud558\ub294 \ubc29\ubc95\uc744 \uc0b4\ud3b4\ubcf4\uc558\uc2b5\ub2c8\ub2e4. \ub204\uc801 \uacf1 \ubc30\uc5f4\uc744 \uc0ac\uc6a9\ud558\uc5ec \ud6a8\uc728\uc801\uc73c\ub85c \ucffc\ub9ac\ub97c \ucc98\ub9ac\ud558\ub294 \ubc29\ubc95\uc744 \ubc30\uc6b8 \uc218 \uc788\uc5c8\uc2b5\ub2c8\ub2e4. \uc138\uadf8\uba3c\ud2b8 \ud2b8\ub9ac\ub098 \ud39c\uc705 \ud2b8\ub9ac\uc640 \uac19\uc740 \ub354\uc6b1 \ubcf5\uc7a1\ud55c \uc790\ub8cc\uad6c\uc870\ub97c \ubc30\uc6b0\uace0 \uc2f6\ub2e4\uba74 \ub2e4\uc74c \uac15\uc88c\ub97c \uae30\ub300\ud574 \uc8fc\uc138\uc694!<\/p>\n
    \ub354 \ub098\uc544\uac00\uae30<\/h2>\n
    \uc774 \uac15\uc88c \uc774\ud6c4\uc5d0\ub294 \ud574\ub2f9 \ubb38\uc81c\ub97c \ub2e4\ub978 \ubc29\uc2dd\uc73c\ub85c \ud574\uacb0\ud558\ub294 \ubc29\ubc95\uc5d0 \ub300\ud574 \ub2e4\ub8e8\uc5b4\ubcf4\ub294 \uac83\ub3c4 \uc88b\uc2b5\ub2c8\ub2e4. \ub2e4\uc591\ud55c \ubc29\ubc95\ub860\uc744 \ud559\uc2b5\ud568\uc73c\ub85c\uc368 \uc54c\uace0\ub9ac\uc998\uc801 \uc0ac\uace0\ub825\uc744 \ud655\uc7a5\ud560 \uc218 \uc788\uc744 \uac83\uc785\ub2c8\ub2e4. \uc9c8\ubb38\uc774\ub098 \ud1a0\ub860\uc774 \ud544\uc694\ud55c \ubd80\ubd84\uc774 \uc788\ub2e4\uba74 \ub313\uae00\ub85c \ub0a8\uaca8\uc8fc\uc138\uc694!<\/p>\n
    <\/body><\/p>\n","protected":false},"excerpt":{"rendered":"
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