97. 交错字符串

2022-10-26 18:20:06 浏览数 (1)

给定三个字符串 s1, s2, s3, 验证 s3 是否是由 s1 和 s2 交错组成的。

示例 1:

代码语言:javascript复制
输入: s1 = "aabcc", s2 = "dbbca", s3 = "aadbbcbcac"
输出: true

示例 2:

代码语言:javascript复制
输入: s1 = "aabcc", s2 = "dbbca", s3 = "aadbbbaccc"
输出: false

解:动态规划,组成矩阵。看图,和前面几题都差不多。

代码语言:javascript复制
class Solution {
    public boolean isInterleave(String s1, String s2, String s3) {
        s1 = " "   s1;
        s2 = " "   s2;
        s3 = "  "   s3;
        int len1 = s1.length();
        int len2 = s2.length();
        int len3 = s3.length();

        if ((len1   len2) != len3) {
            return false;
        }
        //dp[i][j]表示s1的0~i和s2的0~j能不能和s3的0~((i 1) (j 1)-1)组成交错字符
        boolean[][] dp = new boolean[len1][len2];

        //状态初始化
        dp[0][0] = true;
        for (int v = 1; v < len1; v  ) {
            dp[v][0] = dp[v - 1][0] && s1.charAt(v) == s3.charAt((v   1)   (0   1) - 1);
        }

        for (int v = 1; v < len2; v  ) {
            dp[0][v] = dp[0][v - 1] && s2.charAt(v) == s3.charAt((0   1)   (v   1) - 1);
        }
		 //状态转移
        for (int i = 1; i < len1; i  ) {
            for (int j = 1; j < len2; j  ) {
                dp[i][j] = (dp[i - 1][j] && s1.charAt(i) == s3.charAt((i   1)   (j   1) - 1)) || (dp[i][j - 1] && s2.charAt(j) == s3.charAt((i   1)   (j   1) - 1));
            }
        }
        return dp[len1 - 1][len2 - 1];
    }
}

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