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
Given encoded message
"12"
, it could be decoded as "AB"
(1 2) or "L"
(12).
The number of ways decoding
"12"
is 2.
Solution:
Dynamic programming. Given current character s[i], the number of possible decode ways for string after s[i] is composed of two parts:
1. s[i+1 : end].
2. s[i+2 : end], if substring s[i : i+1] <= 26.
The trick part of this question are cases when there are '0's in the string. Then, when current character s[i]==0, the number of decode ways for string after s[i] is 0. When s[i+1] is '0', we count it as qualified decode.
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