You have an array arr
of length n
where arr[i] = (2
* i) + 1
for all valid values of i
(i.e. 0 <= i <
n
).
In one operation, you can select two indices x
and y
where 0 <= x, y < n
and subtract 1
from
arr[x]
and add 1
to arr[y]
(i.e. perform
arr[x] -=1
and arr[y] += 1
). The goal is to make
all the elements of the array equal. It is
guaranteed that all the elements of the array can be made equal
using some operations.
Given an integer n
, the length of the array. Return the minimum
number of operations needed to make all the elements of arr equal.
Example 1:
Input: n = 3 Output: 2 Explanation: arr = [1, 3, 5] First operation choose x = 2 and y = 0, this leads arr to be [2, 3, 4] In the second operation choose x = 2 and y = 0 again, thus arr = [3, 3, 3].
Example 2:
Input: n = 6 Output: 9
Constraints:
1 <= n <= 10^4