Problem3894--Burglar and Matches

3894: Burglar and Matches

[Creator : ]
Time Limit : 2.000 sec  Memory Limit : 256 MiB

Description

time limit per test
0.5 second
memory limit per test
64 megabytes
input
standard input
output
standard output

A burglar got into a matches warehouse and wants to steal as many matches as possible. In the warehouse there are m containers, in the i-th container there are ai matchboxes, and each matchbox contains bi matches. All the matchboxes are of the same size. The burglar's rucksack can hold n matchboxes exactly. Your task is to find out the maximum amount of matches that a burglar can carry away. He has no time to rearrange matches in the matchboxes, that's why he just chooses not more than n matchboxes so that the total amount of matches in them is maximal.

Input

The first line of the input contains integer n (1≤n≤2·108) and integer m (1≤m≤20). The i+1-th line contains a pair of numbers ai and bi (1≤ai≤108,1≤bi≤10). All the input numbers are integer.

Output

Output the only number − answer to the problem.

Examples
Input
7 3
5 10
2 5
3 6
Output
62
Input
3 3
1 3
2 2
3 1
Output
7

Source/Category