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LeetCode-583. Delete Operation for Two Strings [C++][Java]

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LeetCode-583. Delete Operation for Two Strings [C++][Java]

LeetCode-583. Delete Operation for Two Stringshttps://leetcode.com/problems/delete-operation-for-two-strings/

题目描述

Given two strings word1 and word2, return the minimum number of steps required to make word1 and word2 the same.

In one step, you can delete exactly one character in either string.

Example 1:

Input: word1 = "sea", word2 = "eat"
Output: 2
Explanation: You need one step to make "sea" to "ea" and another step to make "eat" to "ea".

Example 2:

Input: word1 = "leetcode", word2 = "etco"
Output: 4

Constraints:

1 <= word1.length, word2.length <= 500word1 and word2 consist of only lowercase English letters.

解题思路 【C++】
class Solution {
public:
    int minDistance(string word1, string word2) {
        int n = word1.size(), m = word2.size();
        vector dp(m + 1, 0);
        for (int i = 1; i <= n; i++) {
            vector curr(m + 1, 0);
            for(int j = 1; j <= m; j++) {
                if (word1[i-1] == word2[j-1]) {curr[j]= 1 + dp[j-1];}
                else {curr[j] = max(dp[j], curr[j-1]);}
            }
            dp = curr;
        }
        return n - dp[m] + m - dp[m];
    }
};

【Java】
class Solution {
    public int minDistance(String word1, String word2) {
        int n = word1.length(), m = word2.length();
        int[] dp = new int[m + 1];
        for (int i = 1; i <= n; i++) {
            int[] curr = new int[m + 1];
            for(int j = 1; j <= m; j++) {
                if (word1.charAt(i-1) == word2.charAt(j-1)) {curr[j] = 1 + dp[j-1];}
                else {curr[j] = Math.max(dp[j], curr[j-1]);}
            }
            dp = curr;
        }
        return n - dp[m] + m - dp[m];
    }
}

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