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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

Solution 1

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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

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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;
    }
}

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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;
    }
};

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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
}

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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;
}

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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;
    }
}

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