# 2517. Maximum Tastiness of Candy Basket

## Description

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

## Solutions

• class Solution {
public int maximumTastiness(int[] price, int k) {
Arrays.sort(price);
int l = 0, r = price[price.length - 1] - price[0];
while (l < r) {
int mid = (l + r + 1) >> 1;
if (check(price, k, mid)) {
l = mid;
} else {
r = mid - 1;
}
}
return l;
}

private boolean check(int[] price, int k, int x) {
int cnt = 0, pre = -x;
for (int cur : price) {
if (cur - pre >= x) {
pre = cur;
++cnt;
}
}
return cnt >= k;
}
}

• class Solution {
public:
int maximumTastiness(vector<int>& price, int k) {
sort(price.begin(), price.end());
int l = 0, r = price.back() - price[0];
auto check = [&](int x) -> bool {
int cnt = 0, pre = -x;
for (int& cur : price) {
if (cur - pre >= x) {
pre = cur;
++cnt;
}
}
return cnt >= k;
};
while (l < r) {
int mid = (l + r + 1) >> 1;
if (check(mid)) {
l = mid;
} else {
r = mid - 1;
}
}
return l;
}
};

• class Solution:
def maximumTastiness(self, price: List[int], k: int) -> int:
def check(x: int) -> bool:
cnt, pre = 0, -x
for cur in price:
if cur - pre >= x:
pre = cur
cnt += 1
return cnt >= k

price.sort()
l, r = 0, price[-1] - price[0]
while l < r:
mid = (l + r + 1) >> 1
if check(mid):
l = mid
else:
r = mid - 1
return l


• func maximumTastiness(price []int, k int) int {
sort.Ints(price)
return sort.Search(price[len(price)-1], func(x int) bool {
cnt, pre := 0, -x
for _, cur := range price {
if cur-pre >= x {
pre = cur
cnt++
}
}
return cnt < k
}) - 1
}

• function maximumTastiness(price: number[], k: number): number {
price.sort((a, b) => a - b);
let l = 0;
let r = price[price.length - 1] - price[0];
const check = (x: number): boolean => {
let [cnt, pre] = [0, -x];
for (const cur of price) {
if (cur - pre >= x) {
pre = cur;
++cnt;
}
}
return cnt >= k;
};
while (l < r) {
const mid = (l + r + 1) >> 1;
if (check(mid)) {
l = mid;
} else {
r = mid - 1;
}
}
return l;
}


• public class Solution {
public int MaximumTastiness(int[] price, int k) {
Array.Sort(price);
int l = 0, r = price[price.Length - 1] - price[0];
while (l < r) {
int mid = (l + r + 1) >> 1;
if (check(price, mid, k)) {
l = mid;
} else {
r = mid - 1;
}
}
return l;
}

private bool check(int[] price, int x, int k) {
int cnt = 0, pre = -x;
foreach (int cur in price) {
if (cur - pre >= x) {
++cnt;
pre = cur;
}
}
return cnt >= k;
}
}