{"id":28628,"date":"2024-10-27T16:12:38","date_gmt":"2024-10-27T16:12:38","guid":{"rendered":"http:\/\/atmokpo.com\/w\/?p=28628"},"modified":"2024-11-26T07:00:08","modified_gmt":"2024-11-26T07:00:08","slug":"%ec%bd%94%ed%8b%80%eb%a6%b0-%ec%bd%94%eb%94%a9%ed%85%8c%ec%8a%a4%ed%8a%b8-%ea%b0%95%ec%a2%8c-%ed%96%89%eb%a0%ac-%ea%b3%b1-%ec%97%b0%ec%82%b0-%ed%9a%9f%ec%88%98%ec%9d%98-%ec%b5%9c%ec%86%9f%ea%b0%92","status":"publish","type":"post","link":"https:\/\/atmokpo.com\/w\/28628\/","title":{"rendered":"\ucf54\ud2c0\ub9b0 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \ud589\ub82c \uacf1 \uc5f0\uc0b0 \ud69f\uc218\uc758 \ucd5c\uc19f\uac12 \uad6c\ud558\uae30"},"content":{"rendered":"
\n

\ucf54\ub529\ud14c\uc2a4\ud2b8\uc5d0\uc11c \uc790\uc8fc \ub4f1\uc7a5\ud558\ub294 \ud589\ub82c \uad00\ub828 \ubb38\uc81c\ub294 \ub2e4\uc591\ud55c \ubcc0\ud615\uc774 \uc874\uc7ac\ud558\uba70, \uadf8\uc911\uc5d0\uc11c\ub3c4 \ud589\ub82c\uc758 \uacf1\uc148\uc5d0 \uad00\ub828\ub41c \ubb38\uc81c\ub294 \ub9ce\uc740 \uc218\ud5d8\uc0dd\ub4e4\uc774 \uc5b4\ub824\uc6cc\ud558\ub294 \uc8fc\uc81c\uc785\ub2c8\ub2e4. \uc774 \uae00\uc5d0\uc11c\ub294 ‘\ud589\ub82c \uacf1 \uc5f0\uc0b0 \ud69f\uc218\uc758 \ucd5c\uc19f\uac12 \uad6c\ud558\uae30’ \ubb38\uc81c\ub97c \uc0b4\ud3b4\ubcf4\uace0, \uc774\ub97c \ud574\uacb0\ud558\uae30 \uc704\ud55c \uc54c\uace0\ub9ac\uc998\uacfc \ucf54\ub4dc\ub97c \uc790\uc138\ud788 \uc124\uba85\ud558\uaca0\uc2b5\ub2c8\ub2e4.<\/p>\n

\ubb38\uc81c \uc124\uba85<\/h2>\n

\ud589\ub82c A\uc758 \ud06c\uae30\uac00 A_rows x A_cols<\/code>, \ud589\ub82c B\uc758 \ud06c\uae30\uac00 B_rows x B_cols<\/code>\uc77c \ub54c, \ub450 \ud589\ub82c\uc758 \uacf1\uc148\uc744 \uc218\ud589\ud558\uae30 \uc704\ud574\uc11c\ub294 A\uc758 \uc5f4\uc758 \uac1c\uc218 A_cols<\/code>\uc640 B\uc758 \ud589\uc758 \uac1c\uc218 B_rows<\/code>\uac00 \uc77c\uce58\ud574\uc57c \ud569\ub2c8\ub2e4. \uc774 \uc5f0\uc0b0\uc758 \ubcf5\uc7a1\ub3c4\ub294 A_rows x A_cols x B_cols<\/code>\ub85c \uacc4\uc0b0\ub429\ub2c8\ub2e4.<\/p>\n

\uc5ec\ub7ec \uac1c\uc758 \ud589\ub82c\uc744 \uacf1\ud560 \ub54c \uc5f0\uc0b0 \ud6a8\uc728\uc744 \ub192\uc774\uae30 \uc704\ud574\uc11c\ub294 ‘\ud589\ub82c \uacf1\uc148\uc758 \uc21c\uc11c’\ub97c \uc801\uc808\ud788 \uc120\ud0dd\ud558\ub294 \uac83\uc774 \uc911\uc694\ud569\ub2c8\ub2e4. \uc6b0\ub9ac\ub294 \uc8fc\uc5b4\uc9c4 \ud589\ub82c \ub9ac\uc2a4\ud2b8\uc5d0 \ub300\ud574, \ubaa8\ub4e0 \uac00\ub2a5\ud55c \uacf1\uc148 \uc21c\uc11c\uc5d0 \ub300\ud574 \uc5f0\uc0b0 \ud69f\uc218\ub97c \uacc4\uc0b0\ud558\uace0, \uadf8 \uc911 \ucd5c\uc19f\uac12\uc744 \ucc3e\uc544\uc57c \ud569\ub2c8\ub2e4.<\/p>\n

\uc785\ub825 \ud615\uc2dd<\/h2>\n

\uccab \uc904\uc5d0 \uc790\uc5f0\uc218 N (1 \u2264 N \u2264 30)\uc774 \uc8fc\uc5b4\uc9d1\ub2c8\ub2e4. \ub2e4\uc74c N\uc904\uc5d0\ub294 \uac01 \ud589\ub82c\uc758 \ud06c\uae30\ub97c \ub098\ud0c0\ub0b4\ub294 \ub450 \uc815\uc218 R\uacfc C\uac00 \uc8fc\uc5b4\uc9d1\ub2c8\ub2e4. \uc5ec\uae30\uc11c R\uc740 \ud589\uc758 \uc218, C\ub294 \uc5f4\uc758 \uc218\ub97c \uc758\ubbf8\ud569\ub2c8\ub2e4. \uac01 \ud589\ub82c\uc758 \uacf1\uc148\uc744 \uc704\ud574\uc11c\ub294 R\u00d7C\ud615\ud0dc\ub85c \uc8fc\uc5b4\uc9c4\ub2e4\uace0 \uac00\uc815\ud569\ub2c8\ub2e4.<\/p>\n

\ucd9c\ub825 \ud615\uc2dd<\/h2>\n

\ucd5c\uc18c \ud589\ub82c \uacf1 \uc5f0\uc0b0 \ud69f\uc218\ub97c \ud55c \uc904\uc5d0 \ucd9c\ub825\ud569\ub2c8\ub2e4.<\/p>\n

\uc608\uc81c \uc785\ub825<\/h2>\n
\n    3\n    10 20\n    20 30\n    30 40\n    <\/pre>\n
\uc608\uc81c \ucd9c\ub825<\/h2>\n
\n    3000\n    <\/pre>\n
\ud480\uc774 \uacfc\uc815<\/h2>\n
\uc774 \ubb38\uc81c\ub97c \ud574\uacb0\ud558\uae30 \uc704\ud574 \uc0ac\uc6a9\ud558\ub294 \uc54c\uace0\ub9ac\uc998\uc740 ‘\ud589\ub82c \uacf1\uc148 \uc21c\uc11c \uacb0\uc815 \ub3d9\uc801 \ud504\ub85c\uadf8\ub798\ubc0d(Dynamic Programming) \ubc29\ubc95’\uc785\ub2c8\ub2e4. \uc774 \ubc29\ubc95\uc744 \uc0ac\uc6a9\ud558\uba74 \uac01 \ud589\ub82c \uc870\ud569\uc758 \uacf1\uc148 \uc5f0\uc0b0 \ube44\uc6a9\uc744 \ud6a8\uc728\uc801\uc73c\ub85c \uacc4\uc0b0\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n
\ub3d9\uc801 \ud504\ub85c\uadf8\ub798\ubc0d \uc811\uadfc<\/h3>\n
\uc8fc\uc5b4\uc9c4 \ubb38\uc81c\uc5d0\uc11c \ud589\ub82c\uc758 \uacf1\uc148 \uc21c\uc11c\ub97c \uacb0\uc815\ud558\uae30 \uc704\ud574, \ub2e4\uc74c\uacfc \uac19\uc740 \ub2e8\uacc4\ub85c \uc9c4\ud589\ud569\ub2c8\ub2e4:<\/p>\n
    \n
  1. \uc785\ub825\ub41c \ud589\ub82c \ud06c\uae30\ub97c \ubc14\ud0d5\uc73c\ub85c DP \ud14c\uc774\ube14\uc744 \ub9cc\ub4ed\ub2c8\ub2e4.<\/li>\n
  2. \uacf1\uc148 \ube44\uc728\uc744 \uc7ac\uadc0\uc801\uc73c\ub85c \uacc4\uc0b0\ud558\uc5ec \ucd5c\uc18c \uac12\uc73c\ub85c \uac31\uc2e0\ud569\ub2c8\ub2e4.<\/li>\n
  3. \ucd5c\uc885\uc801\uc73c\ub85c DP \ud14c\uc774\ube14\uc758 \ucd5c\uc885\uac12\uc744 \ucd9c\ub825\ud569\ub2c8\ub2e4.<\/li>\n<\/ol>\n
    DP \ubc30\uc5f4 \ubc0f \ucd08\uae30\ud654<\/h3>\n
    \uc6b0\uc120, 2\ucc28\uc6d0 \ubc30\uc5f4 dp<\/code>\ub97c \uc120\uc5b8\ud558\uace0 \ubaa8\ub4e0 \uac12\uc744 0\uc73c\ub85c \ucd08\uae30\ud654\ud569\ub2c8\ub2e4. \uc774 \ubc30\uc5f4\uc740 dp[i][j]<\/code>\uac00 \ud589\ub82c i\ubd80\ud130 j\uae4c\uc9c0\uc758 \ucd5c\uc18c \uacf1\uc148 \ube44\uc6a9\uc744 \uc800\uc7a5\ud558\ub294 \uc5ed\ud560\uc744 \ud569\ub2c8\ub2e4.<\/p>\n
    \uc5f0\uc0b0 \ud69f\uc218 \uacc4\uc0b0 \ub85c\uc9c1<\/h3>\n
    \ud589\ub82c\uc758 \uacf1\uc148 \uc5f0\uc0b0 \ud69f\uc218\ub97c \uacc4\uc0b0\ud558\uae30 \uc704\ud574 \ub2e4\uc74c\uacfc \uac19\uc740 \ubc29\uc2dd\uc73c\ub85c DP\ub97c \uc9c4\ud589\ud569\ub2c8\ub2e4:<\/p>\n
      \n
    1. i\ubd80\ud130 j\uae4c\uc9c0\uc758 \ubaa8\ub4e0 \uac00\ub2a5\ud55c \uad6c\uac04\uc744 \uc21c\ud68c\ud569\ub2c8\ub2e4.<\/li>\n
    2. \ud604\uc7ac \uad6c\uac04\uc758 \uc911\uac04 \uc810 k\ub97c \uc120\ud0dd\ud569\ub2c8\ub2e4 (i \u2264 k < j).<\/li>\n
    3. \ud604\uc7ac DP \uac12\uacfc \uc911\uac04 \uc810\uc744 \uae30\uc900\uc73c\ub85c \ub450 \ubd80\ubd84\uc744 \ub098\ub204\uc5b4 \uac01\uac01\uc758 \ube44\uc6a9\uc744 \uacc4\uc0b0\ud55c \ud6c4 \ud569\uc0b0\ud569\ub2c8\ub2e4.<\/li>\n
    4. \ucd5c\uc18c\uac12\uc744 \uac31\uc2e0\ud569\ub2c8\ub2e4.<\/li>\n<\/ol>\n
      \ucf54\ub4dc \uad6c\ud604<\/h3>\n
      \uc544\ub798\ub294 \uc704 \uacfc\uc815\uc744 \ucf54\ud2c0\ub9b0\uc73c\ub85c \uad6c\ud604\ud55c \ucf54\ub4dc\uc785\ub2c8\ub2e4:<\/p>\n
      \n    fun matrixChainOrder(dims: IntArray): Int {\n        val n = dims.size - 1\n        val dp = Array(n) { IntArray(n) }\n\n        for (chainLength in 2..n) {\n            for (i in 0..n - chainLength) {\n                val j = i + chainLength - 1\n                dp[i][j] = Int.MAX_VALUE\n                for (k in i until j) {\n                    val cost = dp[i][k] + dp[k + 1][j] + dims[i] * dims[k + 1] * dims[j + 1]\n                    dp[i][j] = minOf(dp[i][j], cost)\n                }\n            }\n        }\n        return dp[0][n - 1]\n    }\n\n    fun main() {\n        val n = readLine()!!.toInt()\n        val dims = IntArray(n + 1)\n        for (i in 0 until n) {\n            val (r, c) = readLine()!!.split(\" \").map { it.toInt() }\n            dims[i] = r\n            if (i == n - 1) {\n                dims[i + 1] = c\n            } else {\n                dims[i + 1] = c\n            }\n        }\n        println(matrixChainOrder(dims))\n    }\n    <\/pre>\n
      \uacb0\ub860<\/h2>\n
      \uc774 \ubb38\uc81c\ub97c \ud1b5\ud574 \uc6b0\ub9ac\ub294 \ud589\ub82c \uacf1\uc148\uc758 \ucd5c\uc801\ud654 \uacfc\uc815, \uc989 \ucd5c\uc801\uc758 \uacf1\uc148 \uc21c\uc11c\ub97c \uacb0\uc815\ud558\ub294 \ubc29\ubc95\uc744 \uc775\ud614\uc2b5\ub2c8\ub2e4. \ub3d9\uc801 \ud504\ub85c\uadf8\ub798\ubc0d\uc744 \ud1b5\ud574 \uc0ac\uc18c\ud55c \ubd80\ubd84\ubd80\ud130 \ucc28\ub840\ub85c \uacc4\uc0b0\ud558\uc5ec \uc804\ubc18\uc801\uc778 \uc5f0\uc0b0 \ud69f\uc218\ub97c \uc904\uc774\ub294 \uac83\uc774 \uc911\uc694\ud569\ub2c8\ub2e4. \ucf54\ub529 \ud14c\uc2a4\ud2b8\uc5d0\uc11c \uc774\ub7ec\ud55c \ubb38\uc81c\uc5d0 \ucda9\ubd84\ud788 \ub300\ube44\ud558\uace0, \ubc18\ubcf5\uc801\uc73c\ub85c \uc5f0\uc2b5\ud558\uc5ec \uac15\uc810\uc744 \uac00\uc9c0\uae38 \ubc14\ub78d\ub2c8\ub2e4. \ub2e4\uc74c \uc2dc\uac04\uc5d0\ub294 \ub354\uc6b1 \uae4a\uc774 \uc788\ub294 \ubb38\uc81c\ub97c \ub2e4\ub904\ubcf4\uaca0\uc2b5\ub2c8\ub2e4!<\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"
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