Tuesday, December 8, 2015

Leetcode: Decode Ways

Decode Ways

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Total Accepted: 55365 Total Submissions: 330885 Difficulty: Medium
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.
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DP:


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//CODES
class Solution {
 public:
        int numDecodings(string s) {
               //check input
               if (s.size() == 0)return 0;
               vector<int> dp;
               dp.assign(s.size() + 1, 0);
               dp[0] = 1;
               //first item dp[1]
               int first = s[0] - '0';
               if (first == 0)dp[0] = 0;
               else dp[1] = 1;
               for (int i = 1; i<s.size(); i++){
                      int cur = s[i] - '0', pre = s[i - 1] - '0';
                      if (cur == 0 || pre == 0){
                            if (cur == 0 && pre == 0 || cur == 0 && pre >= 3)return 0;
                            if (cur == 0)dp[i + 1] = dp[i - 1];
                            else dp[i + 1] = dp[i];
                      }
                      else if (pre * 10 + cur <= 26) dp[i + 1] = dp[i] + dp[i - 1];
                      else dp[i + 1] = dp[i];
               }
               return dp[s.size()];
        }
 };




















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