CF580B Kefa and Company
Description
Kefa wants to celebrate his first big salary by going to restaurant. However, he needs company.
Kefa has $ n $ friends, each friend will agree to go to the restaurant if Kefa asks. Each friend is characterized by the amount of money he has and the friendship factor in respect to Kefa. The parrot doesn't want any friend to feel poor compared to somebody else in the company (Kefa doesn't count). A friend feels poor if in the company there is someone who has at least $ d $ units of money more than he does. Also, Kefa wants the total friendship factor of the members of the company to be maximum. Help him invite an optimal company!
Input Format
The first line of the input contains two space-separated integers, $ n $ and $ d $ ( $ 1
Output Format
Print the maximum total friendship factir that can be reached.
Explanation/Hint
In the first sample test the most profitable strategy is to form a company from only the second friend. At all other variants the total degree of friendship will be worse.
In the second sample test we can take all the friends.