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 < 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
input5 12 2 1 3 4 5output 12 
input4 9 7 3 5 6output 8 
hide comments
Dushyant Singh:
20151006 11:22:01
Weak test cases. One of my AC code gives 10 for first output. 

theweblover007:
20151005 12:31:14
The algorithm behind this is kadane's algorithm, no you dont need to learn it, its very intuitive. 

shshnk28:
20150928 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:
20150925 16:51:03
No algo. O(n). :) 

rohit gajawada:
20150924 11:47:21
whats up raghu


gullu_mishra:
20150922 18:55:56
50th in spoj ..AC in 1 go...nice problem 

topke:
20150903 20:29:11
There is nothing to memoize here. Solution is O(n) , you don't need any algorithm to solve this one. 

swapnil1996:
20150822 09:23:58
Nice problem.... 

Mohammad Nasirifar:
20150813 15:40:06
AC O(nlg(n)) :D 

ROHIT Kumar:
20150811 09:10:27
thnks for the test cases @abeer khan and @ridhi

Added by:  Adrian Satja Kurdija 
Date:  20111030 
Time limit:  0.184s 
Source limit:  50000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel Pentium G860 3GHz) 
Languages:  All 
Resource:  that would be me 