Restore Valid Decoding Count

Given a digit string, return the number of ways to decode it using the mapping 1 -> A through 26 -> Z. Pattern focus: Decode ways. This variant stresses longer strings and tricky zero handling.

Input Format

s = digit string

Output Format

number of valid decodings

Constraints

  • 1 <= s.length <= 10^5; s contains only digits

Examples

Example 1:

Input:

s = "1111111111"

Output:

89

Explanation:

A long run of 1s follows the Fibonacci-style recurrence.

Example 2:

Input:

s = "11106"

Output:

2

Explanation:

Only two decodings remain valid because of the embedded zero.

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Restore Valid Decoding Count - Dp 1d DSA Problem