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.

跟Climbing Stairs非常类似。只是多加一些推断逻辑。

class Solution {
public:
    int numDecodings(string s) {
        if(s.empty() ||s[0]==‘0‘) return 0;
        int cur_2=1,cur_1=1,cur=0;
        for(int i=2;i<=s.size();i++){
            if(s[i-1]!=‘0‘) cur+=cur_1;
            if(s[i-2]==‘1‘||s[i-2]==‘2‘&& s[i-1]<=‘6‘)
                cur+=cur_2;
            cur_2=cur_1;
            cur_1=cur;
            cur=0;
        }
        return cur_1;
    }
};