CF1697B Promo

Description

The store sells $ n $ items, the price of the $ i $ -th item is $ p_i $ . The store's management is going to hold a promotion: if a customer purchases at least $ x $ items, $ y $ cheapest of them are free. The management has not yet decided on the exact values of $ x $ and $ y $ . Therefore, they ask you to process $ q $ queries: for the given values of $ x $ and $ y $ , determine the maximum total value of items received for free, if a customer makes one purchase. Note that all queries are independent; they don't affect the store's stock.

Input Format

The first line contains two integers $ n $ and $ q $ ( $ 1 \le n, q \le 2 \cdot 10^5 $ ) — the number of items in the store and the number of queries, respectively. The second line contains $ n $ integers $ p_1, p_2, \dots, p_n $ ( $ 1 \le p_i \le 10^6 $ ), where $ p_i $ — the price of the $ i $ -th item. The following $ q $ lines contain two integers $ x_i $ and $ y_i $ each ( $ 1 \le y_i \le x_i \le n $ ) — the values of the parameters $ x $ and $ y $ in the $ i $ -th query.

Output Format

For each query, print a single integer — the maximum total value of items received for free for one purchase.

Explanation/Hint

In the first query, a customer can buy three items worth $ 5, 3, 5 $ , the two cheapest of them are $ 3 + 5 = 8 $ . In the second query, a customer can buy two items worth $ 5 $ and $ 5 $ , the cheapest of them is $ 5 $ . In the third query, a customer has to buy all the items to receive the three cheapest of them for free; their total price is $ 1 + 2 + 3 = 6 $ .