Find the Divisibility Array of a 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:
div[i] = 1if the numeric value ofword[0, ..., i]is divisible bym, ordiv[i] = 0otherwise.
Return the divisibility array of word.
Example 1
Input
word = "998244353", m = 3Output
[1,1,0,0,0,1,1,0,0]There are only 4 prefixes that are divisible by 3: "9", "99", "998244", and "9982443".
Example 2
Input
word = "1010", m = 10Output
[0,1,0,1]There are only 2 prefixes that are divisible by 10: "10", and "1010".
Constraints
- 1 <= n <= 10^5
- word.length == n
- word consists of digits from 0 to 9
- 1 <= m <= 10^9