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.
有多少种解码可能,这里的‘A‘~‘Z‘已经被转化成数字字符了
class Solution { public: int numDecodings(string s) { if(s.empty()) return 0; int res[s.size()+1]; res[0]=1; res[1]=(s[0]=='0'?0:1); for(int i=2;i<=s.size();i++) { if(s[i-1]=='0') res[i]=0; else res[i]=res[i-1]; //一个元素只有一个可能,所以继承前一位的 if(s[i-2]=='1'||(s[i-2]=='2'&&s[i-1]<='6')) //1~26 //两种可能,可能性翻倍 res[i]=res[i]+res[i-2]; } return res[s.size()]; } };
原文:http://blog.csdn.net/u011391629/article/details/52175729