Easy
You are given a 0-indexed integer array nums
of even length.
As long as nums
is not empty, you must repetitively:
nums
and remove it.nums
and remove it.The average of two numbers a
and b
is (a + b) / 2
.
2
and 3
is (2 + 3) / 2 = 2.5
.Return the number of distinct averages calculated using the above process.
Note that when there is a tie for a minimum or maximum number, any can be removed.
Example 1:
Input: nums = [4,1,4,0,3,5]
Output: 2
Explanation:
Remove 0 and 5, and the average is (0 + 5) / 2 = 2.5. Now, nums = [4,1,4,3].
Remove 1 and 4. The average is (1 + 4) / 2 = 2.5, and nums = [4,3].
Remove 3 and 4, and the average is (3 + 4) / 2 = 3.5.
Since there are 2 distinct numbers among 2.5, 2.5, and 3.5, we return 2.
Example 2:
Input: nums = [1,100]
Output: 1
Explanation:
There is only one average to be calculated after removing 1 and 100, so we return 1.
Constraints:
2 <= nums.length <= 100
nums.length
is even.0 <= nums[i] <= 100
class Solution {
fun distinctAverages(nums: IntArray): Int {
nums.sort()
val set: MutableSet<Int> = HashSet()
var l = 0
var r = nums.size - 1
while (l < r) {
set.add(nums[l++] + nums[r--])
}
return set.size
}
}