2575. Find the Divisibility Array of a String

Medium

30 Points

Array

Math

String

You are given a 0-indexed string word of length n consisting of digits, and a positive integer m. The divisibility array div of word is an integer array of length n such that: Return the divisibility array of word.

Examples

Example 1

Input: word = "998244353", m = 3 Output: [1,1,0,0,0,1,1,0,0] Explanation: There are only 4 prefixes that are divisible by 3: "9", "99", "998244", and "9982443".

Example 2

Input: word = "1010", m = 10 Output: [0,1,0,1] Explanation: There are only 2 prefixes that are divisible by 10: "10", and "1010".

Constraints

1 <= n <= 105
word.length == n
word consists of digits from 0 to 9
1 <= m <= 109