EKO - Eko


Lumberjack Mirko needs to chop down M metres of wood. It is an easy job for him since he has a nifty new woodcutting machine that can take down forests like wildfire. However, Mirko is only allowed to cut a single row of trees.

Mirko‟s machine works as follows: Mirko sets a height parameter H (in metres), and the machine raises a giant sawblade to that height and cuts off all tree parts higher than H (of course, trees not higher than H meters remain intact). Mirko then takes the parts that were cut off. For example, if the tree row contains trees with heights of 20, 15, 10, and 17 metres, and Mirko raises his sawblade to 15 metres, the remaining tree heights after cutting will be 15, 15, 10, and 15 metres, respectively, while Mirko will take 5 metres off the first tree and 2 metres off the fourth tree (7 metres of wood in total).

Mirko is ecologically minded, so he doesn‟t want to cut off more wood than necessary. That‟s why he wants to set his sawblade as high as possible. Help Mirko find the maximum integer height of the sawblade that still allows him to cut off at least M metres of wood.

Input

The first line of input contains two space-separated positive integers, N (the number of trees, 1 ≤ N ≤ 1 000 000) and M (Mirko‟s required wood amount, 1 ≤ M ≤ 2 000 000 000).

The second line of input contains N space-separated positive integers less than 1 000 000 000, the heights of each tree (in metres). The sum of all heights will exceed M, thus Mirko will always be able to obtain the required amount of wood.

Output

The first and only line of output must contain the required height setting.

Example

Input:
4 7
20 15 10 17

Output:
15
Input:
5 20
4 42 40 26 46

Output:
36

hide comments
shubh_ank207: 2021-07-20 20:52:58

a big heart to binary search . its lubbb

Last edit: 2021-07-20 20:53:12
yaduvans_hi: 2021-07-15 08:15:24

Same logic as Minimum pages book problem.

likhita_avl123: 2021-07-09 16:34:34

can someone provide java solution? I tried printwriter, fastreader and also using long.

imran_2018: 2021-07-01 05:00:09

Same concept as aggressive cows and painters partition problem. Very good question on binary search

akshat047: 2021-06-30 15:14:17

Hi all im using accumulate to get the sum of the array and it is giving wrong ans LOL!

sinhadipti: 2021-06-25 12:34:37

similar like Book allocation and Aggressive cows.

Last edit: 2021-06-25 12:35:06
sagar_rohi: 2021-06-15 15:57:25

For java solution use the fastReader and printWrite for printing . otherwise the solution is going to stuck on test case no.9 :)

hisoka_morow: 2021-06-12 09:23:33

AC in one go!!
After doing book allocation problem

akshayani_09: 2021-05-23 15:40:38

I was held up at test case 9...just remember that the exact M metres of wood might not be available ..so you need to take the next possible one...;)

shvm_83: 2021-05-21 12:28:56

Why using of pragmas
#pragma GCC optimize("Ofast")
#pragma GCC target ("avx2")
giving runtime error SIGILL but after removing it the code got accepted??


Added by:ghorvat
Date:2012-07-02
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All
Resource:COCI 2011/2012