91. Decode Ways (Array; DP)

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) {
        if(s.length()== 0 || s[0] == '0') return 0;
        int* dp = new int [s.length()+1];
        dp[0] = 1;dp[1]=1;
     
        for (int i = 1; i < s.length(); i++)
        {
            if(s[i] == '0')
            {
                if(s[i-1] != '1' && s[i-1] != '2') return 0;
                else dp[i+1] = dp[i-1];
            }
            else if(s[i-1] == '1' || (s[i] <= '6' && s[i-1] == '2'))
            {
                dp[i+1] = dp[i] + dp[i-1];
            }
            else
                dp[i+1] = dp[i];
        }
        return dp[s.length()];
    }
};

 

posted on 2015-10-14 21:30  joannae  阅读(197)  评论(0编辑  收藏  举报

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