๋ชฉ๋ก9251 (1)

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[์•Œ๊ณ ๋ฆฌ์ฆ˜ ์Šคํ„ฐ๋””] ๋ฐฑ์ค€ #9251 LCS

๋ฌธ์ œ LCS(Longest Common Subsequence, ์ตœ์žฅ ๊ณตํ†ต ๋ถ€๋ถ„ ์ˆ˜์—ด) ๋‘ ์ˆ˜์—ด์ด ์ฃผ์–ด์กŒ์„ ๋•Œ, ๋ชจ๋‘์˜ ๋ถ€๋ถ„ ์ˆ˜์—ด์ด ๋˜๋Š” ์ˆ˜์—ด ์ค‘ ๊ฐ€์žฅ ๊ธด ๊ฒƒ์„ ์ฐพ๋Š” ๋ฌธ์ œ. ์˜ˆ๋ฅผ ๋“ค์–ด, ACAYKP์™€ CAPCAK์˜ LCS๋Š” ACAK๊ฐ€ ๋œ๋‹ค. => ์—ฐ์†ํ•˜์ง€ ์•Š์•„๋„ ๋œ๋‹ค๋Š” ๊ฒƒ์ด ํฌ์ธํŠธ. ํ’€์ด 2์ฐจ์› cache๋ฅผ ์ด์šฉํ•œ DP ๋ฐฉ์‹์œผ๋กœ ํ’€๋ฉด ๋œ๋‹ค. ๋ง๋กœ ํ’€์–ด ์“ด ๊ฒƒ์€ ์ดํ•ดํ•˜๊ธฐ ํž˜๋“œ๋ฏ€๋กœ ๊ทธ๋ฆผ์„ ๊ทธ๋ ค๋ณด์•˜๋‹ค. s1 = ACAYKP s2 = CAPCAK ๋ฅผ ์ž…๋ ฅํ–ˆ์„ ๋•Œ cache์˜ ๋ชจ์Šต์ด๋‹ค. cache[i][j]์—๋Š” s1์˜ i ๋ฒˆ์งธ์™€ s2์˜ j ๋ฒˆ์งธ๊ฐ€ ๊ฐ™์„ ๋•Œ ๊ฐ’์ด ์ฑ„์›Œ์ง„๋‹ค. (๊ฐ™์ง€ ์•Š์€ ๊ฒฝ์šฐ์—๋Š” 0์ด ์ฑ„์›Œ์ง„๋‹ค) ๋‘˜์ด ๊ฐ™์„ ๋•Œ, ๊ทธ๋ƒฅ 1์„ ์ฑ„์šฐ๋Š” ๊ฒƒ์ด ์•„๋‹ˆ๋ผ ์ง€๋‚œ ๊ตฌ์—ญ์—์„œ ๊ฐ€์žฅ ํฐ ๊ฐ’+1์„ ์ฑ„์šด๋‹ค. ์ฒซ ๋ฒˆ์งธ ๊ทธ๋ฆผ์—์„œ ๋นจ..

Algorithm 2020. 4. 19. 00:36