Ciel and Eggs

Problem code: STREGGS

All Submissions

All submissions for this problem are available.

Chef Ciel has N strange eggs. The i-th egg is broken by tapping exactly A_i times. Ciel needs to break K eggs as soon as possible for cooking a rice omelet. However she has been put in an uncomfortable situation. Someone shuffled the eggs! Ciel knows the values A_i, however she doesn't know which egg is which. She'd like to minimize the worst-case number of taps. What is the minimal number?

Input

The first line contains an integer T, the number of test cases. Then T test cases follow. The first line for each test case has 2 integers N and K. Then next line has N integers A₁, A₂, ..., A_N.

Output

For each test case, print the minimal number of taps for the worst-case.

Constraints

1 <= T <= 10
1 <= K <= N <= 500
1 <= A_i <= 1000000 (10⁶)

Sample Input

Sample Output

8
10
5

Output details

In the first case, if a egg isn't broken after 5 taps, she should continue to tap the same egg.

In the second case, if a egg isn't broken after 5 taps, she should tap another egg 5 times.

Author:	laycurse
Date Added:	23-08-2011
Time Limit:	8 sec
Source Limit:	50000 Bytes
Languages:	ADA, ASM, BASH, BF, C, C99 strict, CAML, CLOJ, CLPS, CPP 4.0.0-8, CPP 4.3.2, CS2, D, ERL, F#, FORT, GO, HASK, ICK, ICON, JAR, JAVA, JS, LISP clisp, LISP sbcl, LUA, NEM, NICE, PAS fpc, PAS gpc, PERL, PERL6, PHP, PIKE, PRLG, PYTH, PYTH 3.1.2, RUBY, SCALA, SCM guile, SCM qobi, ST, TCL, TEXT, WSPC

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Comments

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can anyone provide more test

keshav_pes @ 1 Dec 2011 07:47 PM

can anyone provide more test cases....plz

Can anyone explain the 3rd

markfroilan @ 1 Dec 2011 09:04 PM

Can anyone explain the 3rd test case?

In third case, you just tap

niquefa_diego @ 1 Dec 2011 10:14 PM

In third case, you just tap two eggs until they break. In the worst case you break eggs 2 and 3, tapping 5 times.

I dont think so it's that way

flareneos @ 2 Dec 2011 03:08 AM

I dont think so it's that way in 3rd test.. I think it's tap each of them once, you will break one, then tap each of them once more and you will break egg 2. Correct me if I'm wrong

I had not think about that

niquefa_diego @ 2 Dec 2011 08:39 AM

I had not think about that way of solving third case, and I think is correct. But my strategy seems to be right too...

@flareneos u're right.

kq_viet @ 2 Dec 2011 08:56 AM

@flareneos u're right.

Array A[] is always in the

k1ps @ 2 Dec 2011 02:03 PM

Array A[] is always in the increasing order?

is the Ai array always in

nnpai53 @ 2 Dec 2011 08:01 PM

is the Ai array always in increasing order?

@nnpai53 and k1ps: I don't

mng88 @ 2 Dec 2011 10:09 PM

@nnpai53 and k1ps: I don't think so, as no such ordering has been mentioned in the problem statement.

Can Ciel remember about

mkagenius @ 3 Dec 2011 07:51 PM

Can Ciel remember about previous eggs which has already been tapped once?

@mkagenius Yes

hiroto_adm @ 4 Dec 2011 10:16 AM

@mkagenius Yes

can anyone provide some more

assasin143 @ 5 Dec 2011 01:49 PM

can anyone provide some more test cases??? pls....

@assasin143: your test case

cyberax @ 5 Dec 2011 11:33 PM

@assasin143: your test case is simply not a valid input.

@assasin143: please do not

david_adm @ 6 Dec 2011 04:18 AM

@assasin143: please do not post additional test cases during the contest.

Hello Admin, Is there a

devbabu @ 6 Dec 2011 08:22 PM

Hello Admin, Is there a provision to know for the number of input cases and against how many inputs was the solution correct?

@admin: If I get wrong answer

karthikabinav @ 6 Dec 2011 09:05 PM

@admin: If I get wrong answer at 11 secs in one submission and 14.5 secs in another changed submission with the order of algorithm remaining the same, does it mean in the second case it has passed more test cases ?!

Hi i am getting the correct

chandu_333 @ 7 Dec 2011 01:31 PM

Hi i am getting the correct output in my computer the same m getting it here wrong...Does the new line character matters?...for the no of taps for the egg i have read in separate lines...plz help me

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