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

hide comments
a_b_c12345: 2016-02-04 11:31:22

do not search for any algo on google.. just do it by urself .. AC in 1 go...

nonushikhar: 2016-01-03 16:54:43

O(n) :)

mim16: 2016-01-02 14:40:14

Last edit: 2016-01-02 14:41:08
asshole: 2015-12-23 11:20:47

i think you should change the time limit so that it can be accepted in python too

sharif ullah: 2015-10-19 11:29:39

modified version of KAdane's algorithm!!!

Dushyant Singh: 2015-10-06 11:22:01

Weak test cases. One of my AC code gives 10 for first output.

theweblover007: 2015-10-05 12:31:14

The algorithm behind this is kadane's algorithm, no you dont need to learn it, its very intuitive.

shshnk28: 2015-09-28 15:19:07

some times the difference between tle and ac could be just changing the language from Python to c++. With the same logic.

snehil10111995: 2015-09-25 16:51:03

No algo. O(n). :)

rohit gajawada: 2015-09-24 11:47:21

whats up raghu


Added by:Adrian Satja Kurdija
Date:2011-10-30
Time limit:0.184s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All
Resource:that would be me