BiruLyu
7/31/2017 - 12:18 AM

10. Regular Expression Matching(#DP).java

public class Solution {
    public boolean isMatch(String s, String p) {
        return p.isEmpty() ? 
        s.isEmpty() : 
        p.length() > 1 && p.charAt(1) == '*' ?
        isMatch(s, p.substring(2)) ? 
        true : 
        s.isEmpty() || (s.charAt(0) != p.charAt(0) && p.charAt(0) != '.') ? 
        false : 
        isMatch(s.substring(1), p) : 
        s.isEmpty() || (s.charAt(0) != p.charAt(0) && p.charAt(0) != '.') ? 
        false : 
        isMatch(s.substring(1), p.substring(1));
    }
}
public class Solution {
    public boolean isMatch(String s, String p) {
        for(int i = 0; i < p.length(); s = s.substring(1)) {
            char c = p.charAt(i);
        	if(i + 1 >= p.length() || p.charAt(i + 1) != '*')
        		i++;
        	else if(isMatch(s, p.substring(i + 2)))
        		return true;
        	
        	if(s.isEmpty() || (c != '.' && c != s.charAt(0)))
        		return false;
        }
        
        return s.isEmpty();
    }
}
public class Solution {
    public boolean isMatch(String s, String p) {

        if (s == null || p == null) {
            return false;
        }
        boolean[][] dp = new boolean[s.length()+1][p.length()+1];
        dp[0][0] = true;
        for (int i = 0; i < p.length(); i++) {
            if (p.charAt(i) == '*' && dp[0][i-1]) {
                dp[0][i+1] = true;
            }
        }
        for (int i = 0 ; i < s.length(); i++) {
            for (int j = 0; j < p.length(); j++) {
                if (p.charAt(j) == '.') {
                    dp[i+1][j+1] = dp[i][j];
                }
                if (p.charAt(j) == s.charAt(i)) {
                    dp[i+1][j+1] = dp[i][j];
                }
                if (p.charAt(j) == '*') {
                    if (p.charAt(j-1) != s.charAt(i) && p.charAt(j-1) != '.') {
                        dp[i+1][j+1] = dp[i+1][j-1];
                    } else {
                        dp[i+1][j+1] = (dp[i+1][j] || dp[i][j+1] || dp[i+1][j-1]);
                    }
                }
            }
        }
        return dp[s.length()][p.length()];
    }
}