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HardArray

Three Equal Parts

arraymath

Problem Statement

You are given an array arr which consists of only zeros and ones, divide the array into three non-empty parts such that all of these parts represent the same binary value.

If it is possible, return any [i, j] with i + 1 < j , such that:

arr[0], arr[1], ..., arr[i] is the first part,

arr[i + 1], arr[i + 2], ..., arr[j - 1] is the second part, and

arr[j], arr[j + 1], ..., arr[arr.length - 1] is the third part.

All three parts have equal binary values.

If it is not possible, return [-1, -1] .

Note that the entire part is used when considering what binary value it represents. For example, [1,1,0] represents 6 in decimal, not 3 . Also, leading zeros are allowed , so [0,1,1] and [1,1] represent the same value.

Examples

Example 1
Input: arr = [1,0,1,0,1]
Output: [0,3]
Example 2
Input: arr = [1,1,0,1,1]
Output: [-1,-1]
Example 3
Input: arr = [1,1,0,0,1]
Output: [0,2]

Constraints

3 <= arr.length <= 3 * 10 ^4
arr[i] is 0 or 1
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Hard
Difficulty
Topic Info
ModuleDSA
CategoryArray
Sub-topicMath
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arraymath
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