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: Accepted)

using System;
using System.Collections.Generic;

namespace abc121_c
{
    class Program
    {
        static void Main()
        {
            var tmpNm = Console.ReadLine().Split();
            var n = int.Parse(tmpNm[0]);
            var shopList = new SortedDictionary<long,long>();
            for (var i = 0; i < n; i++)
            {
                var tmpAb = Console.ReadLine().Split();
                var a = int.Parse(tmpAb[0]);
                var b = int.Parse(tmpAb[1]);
                if (shopList.ContainsKey(a))
                {
                    shopList[a] += b;
                }
                else
                {
                    shopList[a] = b;
                }
            }
            var m = int.Parse(tmpNm[1]);
            long needMoney = 0;
            foreach (var shop in shopList)
            {
                if (shop.Value < m)
                {
                    needMoney += shop.Key * shop.Value;
                    m -= (int)shop.Value;
                    continue;
                }

                needMoney += shop.Key * m;
                break;
            }

            Console.WriteLine(needMoney);

        }
    }
}