You have N cards. On the i-th card, an integer A_i is written.

For each j = 1, 2, ..., M in this order, you will perform the following operation once:

Operation: Choose at most B_j cards (possibly zero). Replace the integer written on each chosen card with C_j.

Find the maximum possible sum of the integers written on the N cards after the M operations.

Constraints

* All values in input are integers.
* 1 \leq N \leq 10^5
* 1 \leq M \leq 10^5
* 1 \leq A_i, C_i \leq 10^9
* 1 \leq B_i \leq N

Input

Input is given from Standard Input in the following format:


N M
A_1 A_2 ... A_N
B_1 C_1
B_2 C_2
\vdots
B_M C_M


Output

Print the maximum possible sum of the integers written on the N cards after the M operations.

Examples

Input

3 2
5 1 4
2 3
1 5


Output

14


Input

10 3
1 8 5 7 100 4 52 33 13 5
3 10
4 30
1 4


Output

338


Input

3 2
100 100 100
3 99
3 99


Output

300


Input

11 3
1 1 1 1 1 1 1 1 1 1 1
3 1000000000
4 1000000000
3 1000000000


Output

10000000001

import java.util.Comparator;
import java.util.Scanner;
import java.util.stream.IntStream;
import java.util.stream.Stream;

public class Main {
    public static void main(String[] args) {
        final Scanner scanner = new Scanner(System.in);
        final int n = scanner.nextInt();
        final int m = scanner.nextInt();

        final Stream<Long> cards = IntStream.range(0, n)
                .mapToObj(i -> scanner.nextLong());

        final Stream<Long> operations = IntStream.range(0, m)
                .mapToObj(i -> new Operation(scanner.nextInt(), scanner.nextInt()))
                .sorted(Comparator.comparingLong(operation -> -operation.value))
                .flatMap(operation -> IntStream.range(0, operation.number).mapToObj(i -> operation.value))
                .limit(n);

        final long answer = Stream.concat(cards, operations)
                .sorted(Comparator.reverseOrder())
                .limit(n)
                .mapToLong(Long::longValue)
                .sum();

        System.out.println(answer);
    }

    private static class Operation {
        final int number;
        final long value;

        Operation(final int number, final int value) {
            this.number = number;
            this.value = value;
        }
    }
}
