{"id":28276,"date":"2024-10-27T15:33:13","date_gmt":"2024-10-27T15:33:13","guid":{"rendered":"http:\/\/atmokpo.com\/w\/?p=28276"},"modified":"2024-11-26T07:05:09","modified_gmt":"2024-11-26T07:05:09","slug":"%ec%8a%a4%ec%9c%84%ed%94%84%ed%8a%b8-%ec%bd%94%eb%94%a9%ed%85%8c%ec%8a%a4%ed%8a%b8-%ea%b0%95%ec%a2%8c-%ec%a0%95%ec%88%98%eb%a5%bc-1%eb%a1%9c-%eb%a7%8c%eb%93%a4%ea%b8%b0","status":"publish","type":"post","link":"https:\/\/atmokpo.com\/w\/28276\/","title":{"rendered":"\uc2a4\uc704\ud504\ud2b8 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \uc815\uc218\ub97c 1\ub85c \ub9cc\ub4e4\uae30"},"content":{"rendered":"<p>\ucf54\ub529 \ud14c\uc2a4\ud2b8\ub294 \uc18c\ud504\ud2b8\uc6e8\uc5b4 \uc5d4\uc9c0\ub2c8\uc5b4\ub85c\uc11c\uc758 \ub2a5\ub825\uc744 \ud3c9\uac00\ud558\ub294 \uc911\uc694\ud55c \uc694\uc18c\uc785\ub2c8\ub2e4. \uc774 \uae00\uc5d0\uc11c\ub294 &#8216;\uc815\uc218\ub97c 1\ub85c \ub9cc\ub4e4\uae30&#8217;\ub77c\ub294 \uc8fc\uc81c\ub97c \uac00\uc9c0\uace0 \uc2a4\uc704\ud504\ud2b8\ub85c \uad6c\ud604\ud560 \uc218 \uc788\ub294 \uc54c\uace0\ub9ac\uc998 \ubb38\uc81c\ub97c \ub2e4\ub8e8\uace0, \uadf8 \ud574\uacb0 \uacfc\uc815\uc744 \uc0c1\uc138\ud788 \uc124\uba85\ud560 \uac83\uc785\ub2c8\ub2e4.<\/p>\n<h2>\ubb38\uc81c \uc124\uba85<\/h2>\n<p>\uc8fc\uc5b4\uc9c4 \uc815\uc218 <code>x<\/code>\uc5d0 \ub300\ud574 \ub2e4\uc74c\uacfc \uac19\uc740 \uaddc\uce59\uc744 \uc801\uc6a9\ud558\uc5ec 1\ub85c \ub9cc\ub4e4\uace0\uc790 \ud569\ub2c8\ub2e4:<\/p>\n<ul>\n<li><code>x = x - 1<\/code> (1\uc744 \ube80\ub2e4)<\/li>\n<li><code>x = x \/ 2<\/code> (2\ub85c \ub098\ub208\ub2e4. \ub2e8, x\uac00 \uc9dd\uc218\uc77c \ub54c\ub9cc \uac00\ub2a5)<\/li>\n<li><code>x = x \/ 3<\/code> (3\uc73c\ub85c \ub098\ub208\ub2e4. \ub2e8, x\uac00 3\uc758 \ubc30\uc218\uc77c \ub54c\ub9cc \uac00\ub2a5)<\/li>\n<\/ul>\n<p>\uc704\uc758 \uc138 \uac00\uc9c0 \uc5f0\uc0b0\uc744 \uc774\uc6a9\ud558\uc5ec \ucd5c\uc18c \uba87 \ubc88\uc758 \uc5f0\uc0b0\uc73c\ub85c <code>x<\/code>\ub97c 1\ub85c \ub9cc\ub4e4 \uc218 \uc788\ub294\uc9c0\ub97c \uacc4\uc0b0\ud558\ub294 \ud504\ub85c\uadf8\ub7a8\uc744 \uc791\uc131\ud558\uc2dc\uc624.<\/p>\n<h2>\uc785\ub825 \ud615\uc2dd<\/h2>\n<p>\uccab \ubc88\uc9f8 \uc904\uc5d0 \uc815\uc218 <code>x<\/code> (1 \u2264 x \u2264 10<sup>6<\/sup>)\uc774 \uc8fc\uc5b4\uc9c4\ub2e4.<\/p>\n<h2>\ucd9c\ub825 \ud615\uc2dd<\/h2>\n<p>\uc815\uc218\ub97c 1\ub85c \ub9cc\ub4e4\uae30 \uc704\ud574 \ud544\uc694\ud55c \ucd5c\uc18c \uc5f0\uc0b0 \ud69f\uc218\ub97c \ucd9c\ub825\ud55c\ub2e4.<\/p>\n<h2>\uc608\uc81c<\/h2>\n<pre>\n\uc785\ub825:\n10\n\n\ucd9c\ub825:\n3\n\n\uc124\uba85:\n10 \u2192 9 \u2192 3 \u2192 1 (3\ubc88\uc758 \uc5f0\uc0b0)\n<\/pre>\n<h2>\ubb38\uc81c \ud574\uacb0 \uc811\uadfc<\/h2>\n<p>\uc774 \ubb38\uc81c\ub294 Dynamic Programming, \uc989 \ub3d9\uc801 \ud504\ub85c\uadf8\ub798\ubc0d \uae30\ubc95\uc744 \uc0ac\uc6a9\ud558\uc5ec \ud574\uacb0\uc744 \uc2dc\ub3c4\ud574\ubcfc \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ubb38\uc81c\uc758 \uc0c1\ud0dc\ub294 \ud604\uc7ac\uc758 \uc815\uc218 <code>x<\/code>\uc774\uba70, \uc774\ub97c 1\ub85c \ub9cc\ub4dc\ub294 \ubc29\ubc95\uc744 \uc774\uc804\uc758 \uc0c1\ud0dc\ub4e4\uc744 \uc774\uc6a9\ud558\uc5ec \ud574\uacb0\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<p>\uba54\ubaa8\uc774\uc81c\uc774\uc158\uc744 \ud1b5\ud574 \uc911\ubcf5 \uacc4\uc0b0\uc744 \ud53c\ud560 \uc218 \uc788\uace0, \uac01 \uc0c1\ud0dc\uc5d0\uc11c \ud544\uc694\ud55c \ucd5c\uc18c \uc5f0\uc0b0 \ud69f\uc218\ub97c \uc800\uc7a5\ud558\uc5ec \ud6a8\uc728\uc801\uc73c\ub85c \ubb38\uc81c\ub97c \ud574\uacb0\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<h2>\uc54c\uace0\ub9ac\uc998 \uacc4\ud68d<\/h2>\n<ol>\n<li>1\ubd80\ud130 <code>x<\/code>\uae4c\uc9c0\uc758 \ubaa8\ub4e0 \uc218\uc5d0 \ub300\ud574 \ucd5c\uc18c \uc5f0\uc0b0 \ud69f\uc218\ub97c \uc800\uc7a5\ud560 \ubc30\uc5f4 <code>dp<\/code>\ub97c \uc0dd\uc131\ud569\ub2c8\ub2e4.<\/li>\n<li>\ucd08\uae30 \uc0c1\ud0dc\uc778 <code>dp[1]<\/code>\uc744 0\uc73c\ub85c \uc124\uc815\ud569\ub2c8\ub2e4 (1\uc740 \uc774\ubbf8 1\uc785\ub2c8\ub2e4).<\/li>\n<li>\ub8e8\ud504\ub97c \uc774\uc6a9\ud558\uc5ec 2\ubd80\ud130 <code>x<\/code>\uae4c\uc9c0 \ubc18\ubcf5\ud569\ub2c8\ub2e4:<\/li>\n<ul>\n<li><code>dp[i] = dp[i-1] + 1<\/code> (1\uc744 \ube7c\ub294 \uacbd\uc6b0)<\/li>\n<li>\ub9cc\uc57d <code>i<\/code>\uac00 2\ub85c \ub098\ub204\uc5b4 \ub5a8\uc5b4\uc9c4\ub2e4\uba74 <code>dp[i] = min(dp[i], dp[i\/2] + 1)<\/code> (2\ub85c \ub098\ub204\ub294 \uacbd\uc6b0)<\/li>\n<li>\ub9c8\ucc2c\uac00\uc9c0\ub85c <code>i<\/code>\uac00 3\uc73c\ub85c \ub098\ub204\uc5b4 \ub5a8\uc5b4\uc9c4\ub2e4\uba74 <code>dp[i] = min(dp[i], dp[i\/3] + 1)<\/code> (3\uc73c\ub85c \ub098\ub204\ub294 \uacbd\uc6b0)<\/li>\n<\/ul>\n<li>\ucd5c\uc885\uc801\uc73c\ub85c <code>dp[x]<\/code>\ub97c \ucd9c\ub825\ud569\ub2c8\ub2e4.<\/li>\n<\/ol>\n<h2>\uc2a4\uc704\ud504\ud2b8 \uad6c\ud604 \ucf54\ub4dc<\/h2>\n<pre>\n<code>\nimport Foundation\n\nfunc minOperationsToOne(_ x: Int) -&gt; Int {\n    var dp = Array(repeating: Int.max, count: x + 1)\n    dp[1] = 0\n    \n    for i in 2...x {\n        dp[i] = dp[i - 1] + 1 \/\/ -1 \uc5f0\uc0b0\n        \n        if i % 2 == 0 {\n            dp[i] = min(dp[i], dp[i \/ 2] + 1) \/\/ \/2 \uc5f0\uc0b0\n        }\n        \n        if i % 3 == 0 {\n            dp[i] = min(dp[i], dp[i \/ 3] + 1) \/\/ \/3 \uc5f0\uc0b0\n        }\n    }\n    \n    return dp[x]\n}\n\nlet input = Int(readLine()!)!\nprint(minOperationsToOne(input))\n<\/code>\n<\/pre>\n<h2>\uc131\ub2a5 \ud3c9\uac00<\/h2>\n<p>\uc774 \uc54c\uace0\ub9ac\uc998\uc758 \uc2dc\uac04 \ubcf5\uc7a1\ub3c4\ub294 O(n)\uc785\ub2c8\ub2e4. <code>n<\/code>\uc740 \uc8fc\uc5b4\uc9c4 \uc815\uc218 <code>x<\/code>\uc785\ub2c8\ub2e4. \uac01 \uc815\uc218\uc5d0 \ub300\ud574 \ucd5c\ub300 3\ubc88\uc758 \uc5f0\uc0b0\uc744 \uace0\ub824\ud558\uae30 \ub54c\ubb38\uc5d0 \ud6a8\uc728\uc801\uc785\ub2c8\ub2e4.<\/p>\n<p>\uacf5\uac04 \ubcf5\uc7a1\ub3c4\ub294 O(n)\uc73c\ub85c, <code>dp<\/code> \ubc30\uc5f4\uc744 \uc0ac\uc6a9\ud558\uc5ec \ubaa8\ub4e0 \uc0c1\ud0dc\ub97c \uc800\uc7a5\ud569\ub2c8\ub2e4. \uc774\ub294 \uba54\ubaa8\ub9ac \uc0ac\uc6a9\ub7c9\uc774 \ub9ce\uc744 \uc218 \uc788\uc73c\ubbc0\ub85c, \ud544\uc694\uc5d0 \ub530\ub77c \ub354 \ucd5c\uc801\ud654\ud560 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<h2>\uacb0\ub860<\/h2>\n<p>\uc815\uc218\ub97c 1\ub85c \ub9cc\ub4dc\ub294 \uc54c\uace0\ub9ac\uc998 \ubb38\uc81c\ub294 \ub3d9\uc801 \ud504\ub85c\uadf8\ub798\ubc0d\uc758 \uae30\ubcf8\uc801\uc778 \uc6d0\ub9ac\ub97c \uc798 \ubcf4\uc5ec\uc90d\ub2c8\ub2e4. \uc774 \ubb38\uc81c\ub97c \ud574\uacb0\ud568\uc73c\ub85c\uc368 \uc2a4\uc704\ud504\ud2b8 \ucf54\ub529 \ud14c\uc2a4\ud2b8\uc5d0 \ub300\ud55c \uc774\ud574\ub97c \ub192\uc774\uace0, \ub3d9\uc801 \ud504\ub85c\uadf8\ub798\ubc0d \uae30\ubc95\uc744 \uc801\uc6a9\ud558\ub294 \ubc29\ubc95\uc744 \ubc30\uc6b8 \uc218 \uc788\uc2b5\ub2c8\ub2e4.<\/p>\n<p>\ubb38\uc81c\ub97c \ud574\uacb0\ud558\ub294 \uacfc\uc815\uc5d0\uc11c \uac01 \uc5f0\uc0b0\uc5d0 \ub300\ud55c \uc774\ud574\uc640 \ucd5c\uc801\ud574\ub97c \ucc3e\uae30 \uc704\ud55c \uc0ac\uace0 \uacfc\uc815\uc744 \uae30\ub97c \uc218 \uc788\uc2b5\ub2c8\ub2e4. \ub2e4\uc591\ud55c \uc785\ub825 \uac12\uc5d0 \ub300\ud558\uc5ec \uc54c\uace0\ub9ac\uc998\uc758 \uc131\ub2a5\uc744 \uc2dc\ud5d8\ud574\ubcf4\uace0, \uc5d0\ub7ec \ud578\ub4e4\ub9c1 \ubc0f \ub2e4\uc591\ud55c \ucd5c\uc801\ud654 \ubc29\ubc95\uc5d0 \ub300\ud574\uc11c\ub3c4 \uace0\ubbfc\ud574\ubcf4\uc2dc\uae30 \ubc14\ub78d\ub2c8\ub2e4.<\/p>\n<p>\uc774 \uae00\uc5d0\uc11c \ub2e4\ub8ec &#8216;\uc815\uc218\ub97c 1\ub85c \ub9cc\ub4e4\uae30&#8217; \ubb38\uc81c\ub294 \uc2e4\uc804 \ucf54\ub529 \ud14c\uc2a4\ud2b8\uc5d0\uc11c\ub3c4 \uc790\uc8fc \ub4f1\uc7a5\ud560 \uc218 \uc788\ub294 \uc720\ud615\uc774\ubbc0\ub85c, \ucda9\ubd84\ud55c \uc5f0\uc2b5\uc744 \ud1b5\ud574 \uc219\ub2ec\ud558\uc2dc\uae30\ub97c \uad8c\uc7a5\ud569\ub2c8\ub2e4.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>\ucf54\ub529 \ud14c\uc2a4\ud2b8\ub294 \uc18c\ud504\ud2b8\uc6e8\uc5b4 \uc5d4\uc9c0\ub2c8\uc5b4\ub85c\uc11c\uc758 \ub2a5\ub825\uc744 \ud3c9\uac00\ud558\ub294 \uc911\uc694\ud55c \uc694\uc18c\uc785\ub2c8\ub2e4. \uc774 \uae00\uc5d0\uc11c\ub294 &#8216;\uc815\uc218\ub97c 1\ub85c \ub9cc\ub4e4\uae30&#8217;\ub77c\ub294 \uc8fc\uc81c\ub97c \uac00\uc9c0\uace0 \uc2a4\uc704\ud504\ud2b8\ub85c \uad6c\ud604\ud560 \uc218 \uc788\ub294 \uc54c\uace0\ub9ac\uc998 \ubb38\uc81c\ub97c \ub2e4\ub8e8\uace0, \uadf8 \ud574\uacb0 \uacfc\uc815\uc744 \uc0c1\uc138\ud788 \uc124\uba85\ud560 \uac83\uc785\ub2c8\ub2e4. \ubb38\uc81c \uc124\uba85 \uc8fc\uc5b4\uc9c4 \uc815\uc218 x\uc5d0 \ub300\ud574 \ub2e4\uc74c\uacfc \uac19\uc740 \uaddc\uce59\uc744 \uc801\uc6a9\ud558\uc5ec 1\ub85c \ub9cc\ub4e4\uace0\uc790 \ud569\ub2c8\ub2e4: x = x &#8211; 1 (1\uc744 \ube80\ub2e4) x = x \/ 2 (2\ub85c \ub098\ub208\ub2e4. &hellip; <a href=\"https:\/\/atmokpo.com\/w\/28276\/\" class=\"more-link\">\ub354 \ubcf4\uae30<span class=\"screen-reader-text\"> &#8220;\uc2a4\uc704\ud504\ud2b8 \ucf54\ub529\ud14c\uc2a4\ud2b8 \uac15\uc88c, \uc815\uc218\ub97c 1\ub85c \ub9cc\ub4e4\uae30&#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":[27],"tags":[],"class_list":["post-28276","post","type-post","status-publish","format-standard","hentry","category-27"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.2 - 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