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;
using System.Linq;

namespace CSharpSample01
{

    
    class Program
    {


        static void Main(string[] args)
        {
            string[] str = Console.ReadLine().Split(' ');
            int N = int.Parse(str[0]);
            int M = int.Parse(str[1]);

            long cost = 0;
            long drinkcnt = 0;

            var dic = new Dictionary<long, long>();
            for(int i = 0; i < N; i++)
            {
                str = Console.ReadLine().Split(' ');
                long a = int.Parse(str[0]);
                long b = int.Parse(str[1]);

                if (dic.ContainsKey(a))
                {
                    dic[a] += b;
                }
                else
                {
                    dic[a] = b;
                }
                
            }

            var dic_sort = dic.OrderBy(s => s.Key).ToDictionary(s => s.Key, s => s.Value);

            foreach(var s in dic_sort)
            {
                long price = s.Key;
                long limit = s.Value;
                if(drinkcnt + limit >= M)
                {
                    if(drinkcnt + limit > M)
                    {
                        cost += price * (M - drinkcnt);
                    }
                    else
                    {
                        cost += price * limit;
                    }
                    break;
                }
                else
                {
                    cost += price * limit;
                    drinkcnt += limit;
                }

            }

            Console.WriteLine(cost);

        }
    }
}