package g1101_1200.s1143_longest_common_subsequence

// #Medium #Top_100_Liked_Questions #String #Dynamic_Programming
// #Algorithm_II_Day_17_Dynamic_Programming #Dynamic_Programming_I_Day_19
// #Udemy_Dynamic_Programming #Big_O_Time_O(n*m)_Space_O(n*m)
// #2022_09_13_Time_307_ms_(38.36%)_Space_38.7_MB_(86.99%)

class Solution {
    fun longestCommonSubsequence(text1: String, text2: String): Int {
        val n = text1.length
        val m = text2.length
        val dp = Array(n + 1) { IntArray(m + 1) }
        for (i in 1..n) {
            for (j in 1..m) {
                if (text1[i - 1] == text2[j - 1]) {
                    dp[i][j] = dp[i - 1][j - 1] + 1
                } else {
                    dp[i][j] = Math.max(dp[i - 1][j], dp[i][j - 1])
                }
            }
        }
        return dp[n][m]
    }
}
