Medium
Decode Ways
Medium
0 submissions
25 coins
+100 XP
Dynamic Programming
String
Problem Description
A message containing letters from `A-Z` can be encoded into numbers using the following mapping:
```
'A' -> "1"
'B' -> "2"
...
'Z' -> "26"
```
To decode an encoded message, all the digits must be grouped then mapped back into letters using the reverse of the mapping above (there may be multiple ways).
For example, `"11106"` can be mapped into:
- `"AAJF"` with the grouping `(1 1 10 6)`
- `"KJF"` with the grouping `(11 10 6)`
Note that the grouping `(1 11 06)` is invalid because `"06"` cannot be mapped into `'F'` since `"6"` is different from `"06"`.
Given a string `s` containing only digits, return the number of ways to decode it. If there are no valid decodings, return `0`.
**Example 1:**
```
Input: s = "12"
Output: 2
Explanation: "12" could be decoded as "AB" (1 2) or "L" (12).
```
**Example 2:**
```
Input: s = "226"
Output: 3
Explanation: "226" could be decoded as "BZ" (2 26), "VF" (22 6), or "BBF" (2 2 6).
```
**Example 3:**
```
Input: s = "06"
Output: 0
Explanation: "06" cannot be mapped to "F" because of the leading zero.
```
Constraints
- 1 <= s.length <= 100
- `s` contains only digits and may contain leading zeros
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