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.
用回溯写了一个,TLE。看到了个用DP的算法,非常赞,就贴过来了。其中三个量循环赋值是为了节省空间。
int numDecodings(string s) { if(!s.size()||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]<'7'))cur+=cur_2; cur_2 = cur_1; cur_1 = cur; cur = 0; } return cur_1; }
还记得聪哥的vim上设置的默认头:最容易想到的方法通常不是最佳的。