Leetcode - Longest Increasing Subsequence
Leetcode - Edit Distance

Leetcode - Longest Common Subsequence

violet posted @ Mar 23, 2020 04:32:17 AM in 算法 with tags Algorithm Golang DP , 225 阅读

https://leetcode.com/problems/longest-common-subsequence/

Given two strings text1 and text2, return the length of their longest common subsequence.

A subsequence of a string is a new string generated from the original string with some characters(can be none) deleted without changing the relative order of the remaining characters. (eg, "ace" is a subsequence of "abcde" while "aec" is not). A common subsequence of two strings is a subsequence that is common to both strings.

If there is no common subsequence, return 0.

Example 1:

Input: text1 = "abcde", text2 = "ace" 
Output: 3  
Explanation: The longest common subsequence is "ace" and its length is 3.

 

func longestCommonSubsequence(text1 string, text2 string) int {
    if text1 == text2 {
        return len(text1)
    }
    m := len(text1)
    n := len(text2)
    dp := make([][]int, m+1)
    for i := 0; i < len(dp); i++ {
        dp[i] = make([]int, n+1)
    }
    
    for i := 1; i <= m; i++ {
        for j := 1; j <= n; j++ {
            if text1[i-1] == text2[j-1] {
                dp[i][j] = 1 + dp[i-1][j-1]
            } else {
                dp[i][j] = max(dp[i-1][j], dp[i][j-1])
            }
        }
    }
    
    //fmt.Println("dp: ", dp)
    return dp[m][n]
}

func max(a, b int) int {
    if a > b {
        return a
    }
    return b
}

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