給定三個字符串?s1, s2, s3, 驗證?s3?是否是由?s1?和?s2 交錯組成的。
示例 1:
輸入: s1 = "aabcc", s2 = "dbbca", s3 = "aadbbcbcac"
輸出: true
示例?2:
輸入: s1 = "aabcc", s2 = "dbbca", s3 = "aadbbbaccc"
輸出: false
思路:之前做過,比較簡單,dp[i][j]代表s1的i個和s2的j個能不能組成。
對于s3的i+j如何組成,只能:
1)i+j-1已經被i和j-1組成,s2[j]==s3[i+j]
比如:
s1:123 s2 456 s3:12453? 6
2)i+j-1已經被i-1和j組成,s1[i]==s3[i+j]
比如:s1:126?s2 453?s3:12453? 6
壓縮空間后的表現還是不理想,搞不懂為什么。
public class Solution {public boolean isInterleave(String s1, String s2, String s3) {int len1=s1.length();int len2=s2.length();int len3=s3.length();if (len3 != len1 + len2) {return false;}boolean dp[] = new boolean[s2.length() + 1];for (int i = 0; i <= len1; ++i) {for (int j = 0; j <= len2; ++j) {if (i == 0 && j == 0) {dp[j] = true;} else if (i == 0) {dp[j] = dp[j - 1] && s2.charAt(j - 1) == s3.charAt(i + j - 1);} else if (j == 0) {dp[j] = dp[j] && s1.charAt(i - 1) == s3.charAt(i + j - 1);} else {dp[j] = (dp[j] && s1.charAt(i - 1) == s3.charAt(i + j - 1)) || (dp[j - 1] && s2.charAt(j - 1) == s3.charAt(i + j - 1));}}}return dp[s2.length()];}
}