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 for better performance and avoid time-limit exception. Iterate the string and use an array to store the current number of decodings.
class Solution {
public int numDecodings(String s) {
if (s == null || s.isEmpty() || s.charAt(0) == '0') return 0;
if (s.length() == 1) return 1;
int[] dp = new int[s.length()];
dp[0] = 1;
for (int i = 1; i < s.length(); i++) {
if (s.charAt(i) >= '1') dp[i] += dp[i - 1];
if (s.charAt(i - 1) == '1' || (s.charAt(i - 1) == '2' && s.charAt(i) <= '6')) {
if (i < 2) dp[i] += 1;
else dp[i] += dp[i - 2];
}
}
return dp[s.length() - 1];
}
}
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