There are total N sellers. Each sellers has arr[i] items. Every time an item sold the seller will raise the price by 1. And your profit on any item is equals to the number of items the seller has left. Your job is to buy K items from N sellers and make the highest profit. Input N, an integer representing the number of sellers; arr a list of long integers representing the supply of the ith seller; K, a long integer representing the number of items to be ordered. Output Return a long integer representing the highest profit that can be generated. Examplel: Input: N = 2 arr = [3, 4] K = 6 Output: 15 Explanation: Here seller one has 3 items. The final prices are [3, 2, 1]. Here seller two has 4 items. The final prices are [4, 3, 2, 1] The highest profit is 4 + 2 * 3 + 2 * 2 + 1 = 15 Example2: Input: N = 5 arr = [3, 5, 7, 10, 6] K = 20 Output: 107

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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There are total N sellers. Each sellers has arr[i] items. Every time an item sold the seller will raise the price by 1. And your profit on any item is equals to the number of items the seller has left. Your job is to buy K items from N sellers and make the highest profit.

Input N, an integer representing the number of sellers;
arr a list of long integers representing the supply of the ith seller;
K, a long integer representing the number of items to be ordered.

Output
Return a long integer representing the highest profit that can be generated.

Examplel:
Input: N = 2 arr = [3, 4] K = 6
Output: 15

Explanation: Here seller one has 3 items. The final prices are [3, 2, 1]. Here seller two has 4 items. The final prices are [4, 3, 2, 1] The highest profit is 4 + 2 * 3 + 2 * 2 + 1 = 15

Example2:
Input: N = 5 arr = [3, 5, 7, 10, 6] K = 20
Output: 107

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