Mid/SeniorArrayMathString

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] = 1 if the numeric value of word[0, ..., i] is divisible by m, or
  • div[i] = 0 otherwise.

Return the divisibility array of word.

Example 1
Inputword = "998244353", m = 3
Output[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
Inputword = "1010", m = 10
Output[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

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