Medium
You are given an array of positive integers price
where price[i]
denotes the price of the ith
candy and a positive integer k
.
The store sells baskets of k
distinct candies. The tastiness of a candy basket is the smallest absolute difference of the prices of any two candies in the basket.
Return the maximum tastiness of a candy basket.
Example 1:
Input: price = [13,5,1,8,21,2], k = 3
Output: 8
Explanation: Choose the candies with the prices [13,5,21].
The tastiness of the candy basket is: min(|13 - 5|, |13 - 21|, |5 - 21|) = min(8, 8, 16) = 8.
It can be proven that 8 is the maximum tastiness that can be achieved.
Example 2:
Input: price = [1,3,1], k = 2
Output: 2
Explanation: Choose the candies with the prices [1,3].
The tastiness of the candy basket is: min(|1 - 3|) = min(2) = 2.
It can be proven that 2 is the maximum tastiness that can be achieved.
Example 3:
Input: price = [7,7,7,7], k = 2
Output: 0
Explanation: Choosing any two distinct candies from the candies we have will result in a tastiness of 0.
Constraints:
2 <= k <= price.length <= 105
1 <= price[i] <= 109
class Solution {
fun maximumTastiness(price: IntArray, k: Int): Int {
price.sort()
val n = price.size
var left = 1
var right = (price[n - 1] - price[0]) / (k - 1) + 1
while (left < right) {
val mid = left + (right - left) / 2
if (check(mid, price, k)) {
left = mid + 1
} else {
right = mid
}
}
return left - 1
}
private fun check(target: Int, price: IntArray, k: Int): Boolean {
var count = 1
var x0 = price[0]
for (x in price) {
if (x >= x0 + target) {
count++
if (count >= k) {
return true
}
x0 = x
}
}
return false
}
}