Decode Ways

A message containing letters from A-Z is being encoded to numbers using the following mapping:

'A' -> 1
'B' -> 2
...
'Z' -> 26

Given an encoded message containing digits, determine the total number of ways to decode it.

For example,
Given encoded message "12", it could be decoded as "AB" (1 2) or "L" (12).

The number of ways decoding "12" is 2.

class Solution {
public:
    int numDecodings(string s) {
        int len = s.length();
        if (len == 0) return 0;
        if( s[0] == '0') return 0;
        
        vector<int> dp(len+2,1);
        
        for(int i=2;i<=len;i++){
            int pre = s[i-2] - '0';
            int curr = s[i-1] - '0';
            if(curr == 0){
                if(pre ==0 || pre > 2) return 0;
                dp[i] = dp[i-2];
            }else{
                dp[i] = dp[i-1];
                int two = pre * 10 + curr;
                if(two <= 26 && pre != 0) 
                    dp[i] += dp[i-2]; 
            }
        }
        return dp[len];
    }
};

 

posted @ 2016-09-11 22:01  wxquare  阅读(231)  评论(0编辑  收藏  举报