Can all numbers of array be made equal
Detailed guide and Python implementation for the 'Can all numbers of array be made equal' problem.
Problem Statement
Write a function can_make_equal(arr) that determines if all elements of the array can be made equal by repeatedly adding or subtracting any element from another. This is possible if and only if the total sum of the array is divisible by the length of the array (i.e., the mean is an integer). Return True if possible, False otherwise. Note: a simpler interpretation — if we can redistribute values freely, we can always make them equal when the sum is divisible by length.
- •1 <= len(arr) <= 10^5
- •-10^6 <= arr[i] <= 10^6
Examples
arr = [1, 1, 1]
True
All elements are already equal.
arr = [1, 2, 3]
True
Sum = 6, length = 3. 6/3 = 2. We can make all elements 2.
arr = [1, 2, 4]
False
Sum = 7, length = 3. 7/3 is not an integer, so we cannot make all equal.
Need a Hint?
Edge Cases to Watch
- Empty input structures
- Single element inputs
- Large numerical bounds
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