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[学习笔记] Leetcode 639. Decode Ways II

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发表于 2020-9-25 10:43:16 | 显示全部楼层 |阅读模式

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

'A' -> 1
'B' -> 2
...
'Z' -> 26
Beyond that, now the encoded string can also contain the character '*', which can be treated as one of the numbers from 1 to 9.

Given the encoded message containing digits and the character '*', return the total number of ways to decode it.

Also, since the answer may be very large, you should return the output mod 109 + 7.

Example 1:
Input: "*"
Output: 9
Explanation: The encoded message can be decoded to the string: "A", "B", "C", "D", "E", "F", "G", "H", "I".
Example 2:
Input: "1*"
Output: 9 + 9 = 18
Note:
The length of the input string will fit in range [1, 105].
The input string will only contain the character '*' and digits '0' - '9'.
class Solution:
    def numDecodings(self, s: str) -> int:
        MOD = 1000000007
        n = len(s)
        dp = [0 for _ in range(n + 1)]
        dp[0] = 1
        
        def getCnt(c):
            if c == '0': return 0
            if c == '*': return 9
            return 1
        
        def getCnt2(c2, c1):
            if c2 == '0' or (c2 >= '3' and c2 <= '9'): return 0
            if c2 == '1':
                if c1 == '*': return 9
                else: return 1
            if c2 == '2':
                if c1 >= '0' and c1 <= '6': return 1
                if c1 >= '7' and c1 <= '9': return 0
                return 6
            
            if c1 >= '0' and c1 <= '6': return 2
            if c1 >= '7' and c1 <= '9': return 1
            return 15
        
        for i in range(1, n + 1):
            dp[i] = 0
            c = getCnt(s[i - 1])
            dp[i] += c * dp[i - 1]
            
            if i > 1:
                c = getCnt2(s[i - 2], s[i - 1])
                dp[i] += c * dp[i - 2]
            
            dp[i] = dp[i] % MOD
        
        return dp[n]

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