SPOJ Problem Set (classical)
9861. Hotels Along the Croatian Coast
Problem code: HOTELS

There are N hotels along the beautiful Adriatic coast. Each hotel has its value in Euros.
Sroljo has won M Euros on the lottery. Now he wants to buy a sequence of consecutive hotels, such that the sum of the values of these consecutive hotels is as great as possible  but not greater than M.
You are to calculate this greatest possible total value.
Input
In the first line of the input there are integers N and M (1 ≤ N ≤ 300 000, 1 ≤ M < 2^{31}).
In the next line there are N natural numbers less than 10^{6}, representing the hotel values in the order they lie along the coast.
Output
Print the required number (it will be greater than 0 in all of the test data).
Example
input
5 12
2 1 3 4 5
output
12


input
4 9
7 3 5 6
output
8

