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.
解题思路:
dp问题,JAVA实现如下:
static public int numDecodings(String s) { if (s.length() == 0 || s.charAt(0) == '0') return 0; int[] dp = new int[s.length() + 1]; dp[0] = dp[1] = 1; for (int i = 1; i < s.length(); i++) { if (s.charAt(i) == '0'&& (s.charAt(i - 1) != '1' && s.charAt(i - 1) != '2')) return 0; else if (s.charAt(i) == '0') dp[i + 1] = dp[i - 1]; else if (s.charAt(i - 1) == '0'||(s.charAt(i-1)-'0')*10+(s.charAt(i)-'0')>26) dp[i + 1] = dp[i]; else dp[i + 1] = dp[i - 1] + dp[i]; } return dp[s.length()]; }