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LeetCode-91-Decode Ways

NPU str fir 重要 tput empty num letters class

算法描述:

A message containing letters from A-Z is being encoded to numbers using the following mapping:

‘A‘ -> 1
‘B‘ -> 2
...
‘Z‘ -> 26

Given a non-empty string containing only digits, determine the total number of ways to decode it.

Example 1:

Input: "12"
Output: 2
Explanation: It could be decoded as "AB" (1 2) or "L" (12).

Example 2:

Input: "226"
Output: 3
Explanation: It could be decoded as "BZ" (2 26), "VF" (22 6), or "BBF" (2 2 6).

解題思路:動態規劃,一個字符的情況下,只有一種解碼方式。兩個字符情況下,如果小於等於26,則有另外一種解碼方式。遞推公式很重要。

        vector<int> dp(s.size()+1,0);
        dp[0] =1;
        dp[1] = s[0]==0? 0: 1;
        for(int i=2; i <= s.size(); i++){
            
int first = stoi(s.substr(i-1,1)); int second = stoi(s.substr(i-2,2)); if(first >= 1 && first <= 9){ dp[i] += dp[i-1]; } if(second >= 10 && second <= 26){ dp[i] += dp[i-2]; } }
return dp[s.size()]; }

LeetCode-91-Decode Ways