HOTELS - Hotels Along the Croatian Coast

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 < 231).

In the next line there are N natural numbers less than 106, 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

Added by:Adrian Satja Kurdija
Date:2011-10-30
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:that would be me

hide comments
2016-08-13 23:54:55 vaibhav goyal
try with binary search too apart from two pointer technique....may be you will learn something as applying usual binary search you may caught in an infinite loop :D
2016-08-10 14:36:19 Nallagatla Manikanta
O(n) possible :) accepted in one go :)
2016-07-04 16:37:39 kartikay singh
try with two pointer techinque
2016-07-03 14:38:04
Yes !!! Solved!! Thanks for the hint @Sourabh Goel
2016-06-19 08:38:16
Done with BinarySearch..
Should try with Sliding Window.
2016-06-17 21:31:35
TLE for O(n^2) in C++
2016-06-16 07:23:41
Both for (no. of hotels<=m) and (no. of hotels<m) the solution gets AC :P
2016-04-29 12:11:07 hareesh
got 1 TLE for O(n^2)
O(n) AC
2016-04-28 09:43:01 Irfan
solvable with prefix sum .. O(nlogn)
2016-04-21 11:01:24
O(n) solution. TLE in Java but got AC in C
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