You are given two integers n and t. Return the smallest number greater than or equal to n such that the product of its digits is divisible by t.

 

Example 1:

Input: n = 10, t = 2

Output: 10

Explanation:

The digit product of 10 is 0, which is divisible by 2, making it the smallest number greater than or equal to 10 that satisfies the condition.

Example 2:

Input: n = 15, t = 3

Output: 16

Explanation:

The digit product of 16 is 6, which is divisible by 3, making it the smallest number greater than or equal to 15 that satisfies the condition.

 

Constraints: