Medium
Given an integer array arr
and a target value target
, return the integer value
such that when we change all the integers larger than value
in the given array to be equal to value
, the sum of the array gets as close as possible (in absolute difference) to target
.
In case of a tie, return the minimum such integer.
Notice that the answer is not neccesarilly a number from arr
.
Example 1:
Input: arr = [4,9,3], target = 10
Output: 3
Explanation: When using 3 arr converts to [3, 3, 3] which sums 9 and that’s the optimal answer.
Example 2:
Input: arr = [2,3,5], target = 10
Output: 5
Example 3:
Input: arr = [60864,25176,27249,21296,20204], target = 56803
Output: 11361
Constraints:
1 <= arr.length <= 104
1 <= arr[i], target <= 105
class Solution {
fun findBestValue(arr: IntArray, target: Int): Int {
arr.sort()
val n = arr.size
var lo = 0
var hi = arr[n - 1]
var min = Int.MAX_VALUE
var ans = -1
while (lo <= hi) {
val mid = (lo + hi) / 2
val m = check(mid, arr, target)
val l = check(mid - 1, arr, target)
val r = check(mid + 1, arr, target)
if (m < min || m == min && ans > mid) {
min = m
ans = mid
} else if (l <= r) {
hi = mid - 1
} else {
lo = mid + 1
}
}
return ans
}
fun check(v: Int, arr: IntArray, target: Int): Int {
var sum = 0
for (i in arr.indices) {
sum += if (arr[i] >= v) {
return Math.abs(sum + (arr.size - i) * v - target)
} else {
arr[i]
}
}
return Math.abs(sum - target)
}
}