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 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.
2018-03-30 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.
2017-12-18 18:32:04
beauty!!!
2017-10-26 17:05:10
Hint on implementation: Use List simply(or you use two pointer but at last you will doing the same thing).
Hint on logic: it is like putting things in list from back and then removing it from front if your addition of elements gets greater than 'M'. I hope you don't get struck. Happy coding :)
2017-10-13 17:04:53
Can be solved using binary_search in O(nlogn) or using two pointer technique in O(n)

Last edit: 2017-10-13 19:00:19
2017-09-24 20:45:59
I wrote unexpected number of loops and if-else. Am I doing something wrong ? Although I used sliding window method and AC.
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