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| 1 | +/** |
| 2 | + * @param {string} text1 |
| 3 | + * @param {string} text2 |
| 4 | + * @return {number} |
| 5 | + * |
| 6 | + * ์๊ฐ๋ณต์ก๋: O(m * n) |
| 7 | + * - m = text1.length, n = text2.length |
| 8 | + * - 2์ค for๋ฌธ์ผ๋ก dp ํ
์ด๋ธ ์ฑ์ฐ๊ธฐ |
| 9 | + * |
| 10 | + * ๊ณต๊ฐ๋ณต์ก๋: O(m * n) |
| 11 | + * - dp ๋ฐฐ์ด์ m * n ๋งํผ์ ๊ณต๊ฐ ์ฌ์ฉ |
| 12 | + * - ์ต์ ํํ๋ ค๋ฉด ๋ฐฐ์ด 2๊ฐ๋ก๋ ๊ฐ๋ฅ |
| 13 | + */ |
| 14 | +var longestCommonSubsequence = function(text1, text2) { |
| 15 | + let m = text1.length; |
| 16 | + let n = text2.length; |
| 17 | + |
| 18 | + // 2์ฐจ์ dp ๋ฐฐ์ด ์ด๊ธฐํ (m+1) x (n+1) |
| 19 | + const dp = Array.from({ length: m + 1 }, () => Array(n + 1).fill(0)); |
| 20 | + |
| 21 | + // dp[i][j] = text1[0..i-1], text2[0..j-1] ๊น์ง์ LCS ๊ธธ์ด |
| 22 | + for (let i = 1; i <= m; i++) { |
| 23 | + for (let j = 1; j <= n; j++) { |
| 24 | + if (text1[i - 1] === text2[j - 1]) { |
| 25 | + // ๋ฌธ์๊ฐ ๊ฐ์ผ๋ฉด, ์ด์ ๊น์ง์ LCS + 1 |
| 26 | + dp[i][j] = dp[i - 1][j - 1] + 1; |
| 27 | + } else { |
| 28 | + // ์๋๋ฉด, ์ด์ ํ/์ด ์ค ๋ ํฐ ๊ฐ ์ ํ |
| 29 | + dp[i][j] = Math.max(dp[i - 1][j], dp[i][j - 1]); |
| 30 | + } |
| 31 | + } |
| 32 | + } |
| 33 | + |
| 34 | + return dp[m][n]; // ๋ง์ง๋ง cell์ด ์ ๋ต |
| 35 | +}; |
| 36 | + |
| 37 | +//์คํจํ dfs ์ฝ๋ |
| 38 | +/** |
| 39 | + * @param {string} text1 |
| 40 | + * @param {string} text2 |
| 41 | + * @return {number} |
| 42 | + */ |
| 43 | +var longestCommonSubsequence = function(text1, text2) { |
| 44 | + function dfs(i, j) { |
| 45 | + // ์ข
๋ฃ ์กฐ๊ฑด: ์ธ๋ฑ์ค ๋ฒ์๋ฅผ ๋ฒ์ด๋๋ฉด 0 |
| 46 | + if (i === text1.length || j === text2.length) { |
| 47 | + return 0; |
| 48 | + } |
| 49 | + |
| 50 | + // ๋ฌธ์๊ฐ ๊ฐ์ผ๋ฉด, ๋ค์ ๋ฌธ์๋ก ์ด๋ํ๋ฉฐ ๊ธธ์ด +1 |
| 51 | + if (text1[i] === text2[j]) { |
| 52 | + return 1 + dfs(i + 1, j + 1); |
| 53 | + } |
| 54 | + |
| 55 | + // ๋ฌธ์๊ฐ ๋ค๋ฅด๋ฉด, ๋ ๊ฐ์ง ๊ฐ๋ ์ค ์ต๋๊ฐ์ ์ ํ |
| 56 | + return Math.max( |
| 57 | + dfs(i + 1, j), // text1์ ๋ค์ ๋ฌธ์๋ก |
| 58 | + dfs(i, j + 1) // text2์ ๋ค์ ๋ฌธ์๋ก |
| 59 | + ); |
| 60 | + } |
| 61 | + |
| 62 | + return dfs(0, 0); |
| 63 | +}; |
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