CF276A.Lunch Rush

普及/提高-

通过率:0%

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题目描述

Having written another programming contest, three Rabbits decided to grab some lunch. The coach gave the team exactly kk time units for the lunch break.

The Rabbits have a list of nn restaurants to lunch in: the ii -th restaurant is characterized by two integers fif_{i} and tit_{i} . Value tit_{i} shows the time the Rabbits need to lunch in the ii -th restaurant. If time tit_{i} exceeds the time kk that the coach has given for the lunch break, then the Rabbits' joy from lunching in this restaurant will equal fi(tik)f_{i}-(t_{i}-k) . Otherwise, the Rabbits get exactly fif_{i} units of joy.

Your task is to find the value of the maximum joy the Rabbits can get from the lunch, depending on the restaurant. The Rabbits must choose exactly one restaurant to lunch in. Note that the joy value isn't necessarily a positive value.

输入格式

The first line contains two space-separated integers — nn ( 1<=n<=1041<=n<=10^{4} ) and kk ( 1<=k<=1091<=k<=10^{9} ) — the number of restaurants in the Rabbits' list and the time the coach has given them to lunch, correspondingly. Each of the next nn lines contains two space-separated integers — fif_{i} ( 1<=fi<=1091<=f_{i}<=10^{9} ) and tit_{i} ( 1<=ti<=1091<=t_{i}<=10^{9} ) — the characteristics of the ii -th restaurant.

输出格式

In a single line print a single integer — the maximum joy value that the Rabbits will get from the lunch.

输入输出样例

  • 输入#1

    2 5
    3 3
    4 5
    

    输出#1

    4
    
  • 输入#2

    4 6
    5 8
    3 6
    2 3
    2 2
    

    输出#2

    3
    
  • 输入#3

    1 5
    1 7
    

    输出#3

    -1
    
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