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 Python (3.4.3) (judge verdict: Time Limit Exceeded)

N, M = map(int, input().split(" "))
stores = []
for i in range(N):
    Ai, Bi = map(int, input().split(" "))
    tg_idx = -1
    for idx, s in enumerate(stores):
        if s[0] > Ai:
            tg_idx = idx
            break
    if tg_idx != -1:
        stores.insert(tg_idx, (Ai, Bi))
    else:
        stores.append((Ai, Bi))

    stock = 0
    unuse_idx = -1
    for idx, s in enumerate(stores):
        if stock <= M:
            stock += s[1]
        else:
            unuse_idx = idx
    if unuse_idx != -1:
        stores = stores[:unuse_idx]

price = 0
for store in stores:
    if M <= store[1]:
        price += store[0] * M
        break
    else:
        price += store[0] * store[1]
        M -= store[1]
print(price)