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
2018-07-15 22:06:01
@sohailwiiierd you can try this
ios_base::sync_with_stdio(false);
cin.tie(NULL);
inside your main()
2018-07-15 20:20:55
Use Deque and Sliding Window!!!
2018-06-25 19:00:23
Use Fast I/O in java.
2018-06-11 19:01:42
you could also use a deque here.
2018-05-26 02:54:10
AC in one go ;) 0.03 sec no idea what sliding window is ..
2018-05-11 13:04:59
this is my 50'th
2018-03-30 20:59:21
O(N) solution but my time is 0.16sec. How to get 0.00 ??? Give me some hint .
2018-03-19 19:05:08
Codes of 15 lines in cpp using SlidingWindow .
BestOfLuckForOthers.
2018-02-13 13:32:38
prefix sum + upper_bound(binary search) did it for me.best of luck for others.
2018-01-11 06:46:06
sliding window... ac in 1 go :) 50th
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