Hard
You are given an array nums
of n
positive integers.
You can perform two types of operations on any element of the array any number of times:
2
.
[1,2,3,4]
, then you can do this operation on the last element, and the array will be [1,2,3,2].
2
.
[1,2,3,4]
, then you can do this operation on the first element, and the array will be [2,2,3,4].
The deviation of the array is the maximum difference between any two elements in the array.
Return the minimum deviation the array can have after performing some number of operations.
Example 1:
Input: nums = [1,2,3,4]
Output: 1
Explanation: You can transform the array to [1,2,3,2], then to [2,2,3,2], then the deviation will be 3 - 2 = 1.
Example 2:
Input: nums = [4,1,5,20,3]
Output: 3
Explanation: You can transform the array after two operations to [4,2,5,5,3], then the deviation will be 5 - 2 = 3.
Example 3:
Input: nums = [2,10,8]
Output: 3
Constraints:
n == nums.length
2 <= n <= 105
1 <= nums[i] <= 109
import java.util.PriorityQueue
class Solution {
fun minimumDeviation(nums: IntArray): Int {
val pq = PriorityQueue { a: Int, b: Int -> b - a }
var min = Int.MAX_VALUE
for (num in nums) {
val localNum = if (num % 2 == 1) {
num * 2
} else {
num
}
min = Math.min(min, localNum)
pq.offer(localNum)
}
var diff = Int.MAX_VALUE
while (pq.peek() % 2 == 0) {
val max = pq.poll()
diff = Math.min(diff, max - min)
min = Math.min(max / 2, min)
pq.offer(max / 2)
}
return Math.min(diff, pq.peek() - min)
}
}