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 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include<stdio.h>
#include<stdlib.h>
int main(void){
    int N,M;
    int *A, *B;
    int i,j;

    A = (int*)malloc(sizeof(int)*N);
    B = (int*)malloc(sizeof(int)*N);

    scanf("%d %d",&N, &M);

    for(i=0;i<N;i++){
        scanf("%d %d",&A[i],&B[i]);
    }

    int cur = 0;
    int min = 1000000000, cost = 0, ic;

    while(cur < M){
        for(i=0;i<N;i++){
            if(A[i]<min && B[i]>0){
                min = A[i];
                ic = i;
            }
        }
        if(M >= cur+B[ic]){
            cur += B[ic];
            cost += A[ic] * B[ic]; 
            B[ic] = 0;
        }else{
            cur += B[ic] - (M - cur);
            cost += A[ic] * (B[ic]-(M - cur));
        }
        min = 1000000000;
    }

    printf("%d\n",cost);

    return 0;

}