From 9965432ab4960dcc853618cb094a9be536edca30 Mon Sep 17 00:00:00 2001 From: chaeshee0908 Date: Sun, 21 Jan 2024 17:59:34 +0900 Subject: [PATCH] =?UTF-8?q?post:=20[14=EC=A3=BC=EC=B0=A8=5F=EC=B1=84?= =?UTF-8?q?=EC=8A=B9=ED=9D=AC]=20=EC=97=B0=EC=86=8D=ED=95=A9=202?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- ...\354\227\260\354\206\215\355\225\251-2.md" | 66 ++++++++++++++++++ .../1.png" | Bin 30668 -> 0 bytes .../2.jpeg" | Bin 185723 -> 0 bytes 3 files changed, 66 insertions(+) create mode 100644 "_posts/algorithm/\354\227\260\354\206\215\355\225\251-2/2024-01-21-\354\261\204\354\212\271\355\235\254-\354\227\260\354\206\215\355\225\251-2.md" delete mode 100644 "assets/img/chaeshee0908/algorithm/\354\227\260\354\206\215\355\225\2512/1.png" delete mode 100644 "assets/img/chaeshee0908/algorithm/\354\227\260\354\206\215\355\225\2512/2.jpeg" diff --git "a/_posts/algorithm/\354\227\260\354\206\215\355\225\251-2/2024-01-21-\354\261\204\354\212\271\355\235\254-\354\227\260\354\206\215\355\225\251-2.md" "b/_posts/algorithm/\354\227\260\354\206\215\355\225\251-2/2024-01-21-\354\261\204\354\212\271\355\235\254-\354\227\260\354\206\215\355\225\251-2.md" new file mode 100644 index 0000000..6925a9f --- /dev/null +++ "b/_posts/algorithm/\354\227\260\354\206\215\355\225\251-2/2024-01-21-\354\261\204\354\212\271\355\235\254-\354\227\260\354\206\215\355\225\251-2.md" @@ -0,0 +1,66 @@ +--- +title: 🐹 연속합 2 +author: chaeshee0908 +date: 2024-01-21 17:00:00 +09:00 +categories: [μ•Œκ³ λ¦¬μ¦˜, 연속합 2] +tags: [μ•Œκ³ λ¦¬μ¦˜, λ°±μ€€, κ³¨λ“œ5, DP, 14μ£Όμ°¨, μ±„μŠΉν¬] +render_with_liquid: false +--- + +## 1. 문제 링크 + +[13398번: 연속합 2](https://www.acmicpc.net/problem/13398) + +
+ +## 2. μ½”λ“œ + +`Python3` `42828KB` `204ms` + +```python +INF = int(1e9) + +n = int(input()) +numbers = list(map(int, input().split())) +dp = [[0] * 2 for _ in range(n)] +dp[0][0] = numbers[0] +dp[0][1] = numbers[0] + +for i in range(1, n): + # 숫자λ₯Ό μ œμ™Έν•˜μ§€ μ•Šμ„ 경우 + dp[i][0] = max(dp[i-1][0] + numbers[i], numbers[i]) + # ν•˜λ‚˜μ˜ 숫자λ₯Ό μ œμ™Έν•  경우 + dp[i][1] = max(dp[i-1][0], dp[i-1][1] + numbers[i]) + +result = -INF +for d in dp: + result = max(result, max(d)) +print(result) +``` + +
+ +## 3. ν•΄μ„€ + +dp ν…Œμ΄λΈ”μ„ μ—°μ†ν•©μ—μ„œ ν•˜λ‚˜μ˜ 숫자λ₯Ό μ œμ™Έν•˜μ§€ μ•Šμ€ 경우 β€˜0’과 μ œμ™Έν•œ 경우 β€˜1’을 κ΅¬λΆ„ν•˜μ—¬ 이차원 λ°°μ—΄λ‘œ μ΄ˆκΈ°ν™”ν•œλ‹€. + +숫자 ν•œ 개 이상은 무쑰건 μ‚¬μš©ν•΄μ•Ό ν•˜λ―€λ‘œ dp[0]의 μ‹œμž‘μ„ 두 μΌ€μ΄μŠ€ λͺ¨λ‘ μˆ˜μ—΄μ˜ κ°€μž₯ 첫 κ°’μœΌλ‘œ μ΄ˆκΈ°ν™”ν•œλ‹€. + +- μˆ«μžκ°€ μ œμ™Έλ˜μ§€ μ•Šμ€ μ—°μ†ν•©μ˜ μ΅œλŒ“κ°’ `dp[i][0]` + + (μ΄μ „κΉŒμ§€ ν•©ν•΄μ˜¨ 숫자 + ν˜„μž¬ 본인의 κ°’)κ³Ό (ν˜„μž¬ 본인의 κ°’)을 비ꡐ해봀을 λ•Œ (ν˜„μž¬ 본인의 κ°’)이 더 크닀면 이전 합을 좔가해쀄 ν•„μš”κ°€ μ—†λ‹€. + + `dp[i-1] + numbers[i]` (μ΄μ „κΉŒμ§€ ν•©ν•΄μ˜¨ 숫자 + ν˜„μž¬ 본인의 κ°’) / `numbers[i]` (ν˜„μž¬ 본인의 κ°’) + + β†’ **dp[i][0] = max(dp[i-1][0] + numbers[i], numbers[i])** + +- μˆ«μžκ°€ μ œμ™Έλ˜μ—ˆμ„ λ•Œ μ—°μ†ν•©μ˜ μ΅œλŒ“κ°’ `dp[i][1]` + + dp[i][1]은 ν˜„μž¬κΉŒμ§€ 숫자 ν•˜λ‚˜λŠ” 무쑰건 μ œμ™Έλœ μƒνƒœλ₯Ό μ˜λ―Έν•œλ‹€. + + 두 가지 경우 쀑 큰 경우λ₯Ό κ³ λ₯΄λ©΄ λœλ‹€. + + 1. ν˜„μž¬ μˆ˜κΉŒμ§€λŠ” ν•œ λ²ˆλ„ μ œμ™Έν•˜μ§€ μ•Šμ•˜κ³ , ν˜„μž¬ 값을 μ œμ™Έν•  경우 β†’ `dp[i-1][0]` + 2. 이미 μ•žμ—μ„œ μ œμ™Έν•œ κ²½μš°μ— ν˜„μž¬ 값을 λ”ν•˜λŠ” 경우 β†’ `dp[i-1][1] + numbers[i]` + + β†’ **dp[i][1] = max(dp[i-1][0], dp[i-1][1] + numbers[i]** diff --git "a/assets/img/chaeshee0908/algorithm/\354\227\260\354\206\215\355\225\2512/1.png" "b/assets/img/chaeshee0908/algorithm/\354\227\260\354\206\215\355\225\2512/1.png" deleted file mode 100644 index db77136750981b95f9de690e1e07376b17c7cf12..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 30668 zcmeFYbyQUE+b+I`9-5&`hG9TT8l;2)1{moQP!I*Bq@|GbP|D3g6)?)3L{XF}LJFfe>?@cf<(xs#3q6Pqf?kWat1^^^5 z0DuswD8M@>6@+a7pcQe|(lWWKr3E*+@8#s`?g#)FLb4U5wfSeZ9Ge6pae#!02n%5@ zvMS5dW+aM^Q(cAUwWl$nH@fm4v9g-J>?+4Ua)aEhv6qZ-*ksVQNb)yj*ES7KBpVpn zY&vM#4fEa1m38hv`tnXTkrNm$P;&5LD~F)!g>_-fTwPgdNxjG`5UK&PwGZ^x_urcN zp#1#Eurhn+C5?qb4(_akZ5c4&~>k&;v`xknT)qA#E z1Xc7ESlVb6%26;jfiKtX-t?}{-#2)2*eEP7L+x-0??n|%{Xi*Pi1_3a!{mWak+`+& z2LLGAQPh}c=QTi+3j)JmcJZw!B^Ru|_LRz_dMK zils+pk(46LlWA*0OD%JU+=rl-vod09uZe8G$EZ$p>WE~RZ0u#PMnt(IUvVfoANENT 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