Problem:
Score : 300 points

Problem Statement

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.

Sample Input 1

2 5
4 9
2 4

Sample Output 1

12

With 12 yen, we can buy one drink at the first store and four drinks at the second store, for the total of five drinks. However, we cannot buy 5 drinks with 11 yen or less.

Sample Input 2

4 30
6 18
2 5
3 10
7 9

Sample Output 2

130

Sample Input 3

1 100000
1000000000 100000

Sample Output 3

100000000000000

The output may not fit into a 32-bit integer type.

Solution in C# (Mono 4.6.2.0) (judge verdict: Time Limit Exceeded)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

namespace ConsoleApp11
{
    class Class27
    {
        static void Main()
        {
            var N = Console.ReadLine().Split().Select(long.Parse).ToArray();
            Dictionary<int, long> A1 = new Dictionary<int, long>();
            Dictionary<int, long> B = new Dictionary<int, long>();
            for(int i = 0; i < N[0]; i++)
            {
                var S = Console.ReadLine().Split().Select(long.Parse).ToArray();
                A1.Add(i, S[0]); //値段
                B.Add(i, S[1]); //本数
                
            }
             var A= A1.OrderBy(x => x.Value);

            long Money = 0;
            for(int i = 0; i < N[0]; i++)
            {
                if (N[1] >= B[A.ElementAt(i).Key])
                {
                    Money += A.ElementAt(i).Value * B[A.ElementAt(i).Key];
                    N[1] -= B[A.ElementAt(i).Key];
                }
                else
                {
                    Money += A.ElementAt(i).Value * N[1];
                    break;
                }
            }
            Console.WriteLine(Money);
        }
    }
}