Medium
You are given a 0-indexed array nums
of n
integers, and an integer k
.
The k-radius average for a subarray of nums
centered at some index i
with the radius k
is the average of all elements in nums
between the indices i - k
and i + k
(inclusive). If there are less than k
elements before or after the index i
, then the k-radius average is -1
.
Build and return an array avgs
of length n
where avgs[i]
is the k-radius average for the subarray centered at index i
.
The average of x
elements is the sum of the x
elements divided by x
, using integer division. The integer division truncates toward zero, which means losing its fractional part.
2
, 3
, 1
, and 5
is (2 + 3 + 1 + 5) / 4 = 11 / 4 = 2.75
, which truncates to 2
.Example 1:
Input: nums = [7,4,3,9,1,8,5,2,6], k = 3
Output: [-1,-1,-1,5,4,4,-1,-1,-1]
Explanation:
avg[0], avg[1], and avg[2] are -1 because there are less than k elements before each index.
The sum of the subarray centered at index 3 with radius 3 is: 7 + 4 + 3 + 9 + 1 + 8 + 5 = 37.
Using integer division, avg[3] = 37 / 7 = 5.
For the subarray centered at index 4, avg[4] = (4 + 3 + 9 + 1 + 8 + 5 + 2) / 7 = 4.
For the subarray centered at index 5, avg[5] = (3 + 9 + 1 + 8 + 5 + 2 + 6) / 7 = 4.
avg[6], avg[7], and avg[8] are -1 because there are less than k elements after each index.
Example 2:
Input: nums = [100000], k = 0
Output: [100000]
Explanation:
The sum of the subarray centered at index 0 with radius 0 is: 100000.
avg[0] = 100000 / 1 = 100000.
Example 3:
Input: nums = [8], k = 100000
Output: [-1]
Explanation:
Constraints:
n == nums.length
1 <= n <= 105
0 <= nums[i], k <= 105
class Solution {
fun getAverages(nums: IntArray, k: Int): IntArray {
// initialize result array with -1
val res = IntArray(nums.size)
res.fill(-1)
if (nums.size <= k * 2) {
// return if not enough elements
return res
}
var sum: Long = 0
val range = 2 * k + 1L
// take sum of all elements from 0 to k*2 index
for (i in 0..2 * k) {
sum += nums[i].toLong()
}
// update first valid avg
res[k] = (sum / range).toInt()
// update other valid averages using sliding window
for (i in k + 1 until nums.size - k) {
sum = sum - nums[i - k - 1] + nums[i + k]
res[i] = (sum / range).toInt()
}
return res
}
}