Problem: Hearing that energy drinks increase rating in those sites, Takahashi decides to buy up M cans of energy drinks.

There are N stores that sell energy drinks. In the i-th store, he can buy at most B_i cans of energy drinks for A_i yen (the currency of Japan) each.

What is the minimum amount of money with which he can buy M cans of energy drinks?

It is guaranteed that, in the given inputs, a sufficient amount of money can always buy M cans of energy drinks.

Constraints

* All values in input are integers.
* 1 \leq N, M \leq 10^5
* 1 \leq A_i \leq 10^9
* 1 \leq B_i \leq 10^5
* B_1 + ... + B_N \geq M

Input

Input is given from Standard Input in the following format:


N M
A_1 B_1
A_2 B_2
\vdots
A_N B_N


Output

Print the minimum amount of money with which Takahashi can buy M cans of energy drinks.

Examples

Input

2 5
4 9
2 4


Output

12


Input

4 30
6 18
2 5
3 10
7 9


Output

130


Input

1 100000
1000000000 100000


Output

100000000000000

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
#define inf 1000000000 //1E+9
using namespace std;

int main(){
	int n,m;cin>>n>>m;
	vector<pair<long long,long long>> d(n);
	for(int i=0;i<n;i++)cin>>d[i].first>>d[i].second;
	sort(d.begin(),d.end());
	
	long long ans=0;
	for(int i=0;i<n;i++){
		if(m<=d[i].second){
			ans+=d[i].first*m;
			break;
		}
		else{
			ans+=d[i].first*d[i].second;
			m -= d[i].second;
		}
	}

	cout<<ans<<endl;

	return 0;
}