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Binary Prefix Divisible By 5

Easy

You receive a binary array nums ( 0-indexed ).

We define xi as the number whose binary representation is the sublist nums[0..i] (from most-significant-bit to least-significant-bit).

  • For example, if nums = [1,0,1] , then x0= 1 , x1= 2 , and x2= 5 .

Produce an array of booleans answer where answer[i] is true if xi is divisible by 5 .

Example 1

Input: nums = [0,1,1]

Output: [true,false,false]

Explanation: The input numbers in binary are 0, 01, 011; which are 0, 1, and 3 in base-10.

Only the first number is divisible by 5, so answer[0] is true.

Example 2

Input: nums = [1,1,1]

Output: [false,false,false]

Constraints

  • 1 <= nums.length <= 10^5
  • nums[i] is either 0 or 1 .

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