CF588A.Duff and Meat

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题目描述

Duff is addicted to meat! Malek wants to keep her happy for nn days. In order to be happy in ii -th day, she needs to eat exactly aia_{i} kilograms of meat.

There is a big shop uptown and Malek wants to buy meat for her from there. In ii -th day, they sell meat for pip_{i} dollars per kilogram. Malek knows all numbers a1,...,ana_{1},...,a_{n} and p1,...,pnp_{1},...,p_{n} . In each day, he can buy arbitrary amount of meat, also he can keep some meat he has for the future.

Malek is a little tired from cooking meat, so he asked for your help. Help him to minimize the total money he spends to keep Duff happy for nn days.

输入格式

The first line of input contains integer nn ( 1<=n<=1051<=n<=10^{5} ), the number of days.

In the next nn lines, ii -th line contains two integers aia_{i} and pip_{i} ( 1<=ai,pi<=1001<=a_{i},p_{i}<=100 ), the amount of meat Duff needs and the cost of meat in that day.

输出格式

Print the minimum money needed to keep Duff happy for nn days, in one line.

输入输出样例

  • 输入#1

    3
    1 3
    2 2
    3 1
    

    输出#1

    10
    
  • 输入#2

    3
    1 3
    2 1
    3 2
    

    输出#2

    8
    

说明/提示

In the first sample case: An optimal way would be to buy 1 kg on the first day, 2 kg on the second day and 3 kg on the third day.

In the second sample case: An optimal way would be to buy 1 kg on the first day and 5 kg (needed meat for the second and third day) on the second day.

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