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Home » Compete » Rubix 2010 » Consecutive Numbers

Consecutive Numbers

Problem code: RUBIX4

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Given an array A of N numbers, find out the minimum number of elements to be changed to ensure that the new array becomes a consecutive sequence of numbers. For example, given A = {2, 3, 6, 7, 8} where N = 5, it is obvious that we can change the first two elements in A to get the new array A' = {4, 5, 6, 7, 8}.
(Note: A consecutive sequence of numbers is where the ith number is greater than the (i-1)th number by 1.)

Input

1.The first input will be T, the tumber of testcases. T <= 1000. 2T lines follow, two for each test case.
2.The first line will be the number of elements in the array, N. 1<= N <= 50
3.The second line will have N numbers separated by a space. The ith number is the ith element in the array. Each number will lie between -2000 and 2000 (inclusive).

Output

1.For every test case, print the minimum number of elements to be changed to get a consecutive sequence of numbers on a new line.

Example

Input:
2
3
1 4 5
7
99 8 9 102 103 16 17

Output:
1 4
Explanation
In the second test case, we can change 8, 9, 16 and 17 to 100, 101, 104, and 105 respectively.


Author: csirubix
Date Added: 13-02-2010
Time Limit: 1 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, TEXT, WSPC


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Comments

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Those who are having problems

red_dragon @ 14 Feb 2010 01:40 PM

Those who are having problems with compiling, please make sure you see this: http://www.codechef.com/wiki/faq

Please note that Turbo C++ code would not compile here. You may use DevC++ as the compiler.

i got an internal error for

ferrari_purav @ 14 Feb 2010 04:13 PM

i got an internal error for this problem.

can someone tell me what is internal error?

is it a run-time error?

:( internal error

ferrari_purav @ 14 Feb 2010 04:21 PM
:( internal error occurred in the system

@purav: Do not have an idea

red_dragon @ 14 Feb 2010 04:44 PM

@purav:

Do not have an idea about that. Try resubmitting it. In the 'All Submissions' page it says you have got a WA.

@ Gaurav Menghani how will u

vish @ 14 Feb 2010 04:51 PM

@ Gaurav Menghani

how will u contact to winner????

@Vikas: Did you register at

red_dragon @ 14 Feb 2010 05:04 PM

@Vikas:

Did you register at the Rubix site? If not then do it. Also mail me your contact details at: gaurav DOT menghani AT gmail DOT com.

@Gaurav Menghani plz check ur

vish @ 14 Feb 2010 05:21 PM

@Gaurav Menghani

plz check ur mail and reply if anything else you want...

n can be 0 for the input.

red_dragon @ 14 Feb 2010 05:48 PM

n can be 0 for the input.

@ hokage Amit

vish @ 14 Feb 2010 06:03 PM
@ hokage

Amit Chavan

how was Consecutive Number ????

finially you solved.....

@soc Consecutive numbers was

balajiganapath @ 14 Feb 2010 06:05 PM

@soc

Consecutive numbers was easy

but Optimal Scheduling was hard.

Could u plz tell me the logic??

@Balajiganapathi - for each

vish @ 14 Feb 2010 06:19 PM

@Balajiganapathi -

for each job ji u have p number of processer to assign

so i used recursive approach by assigning each job on each processer one by one and computing best assignment cost . Actually its a brute force approach ( constrant is too low ).....

for me optimal scheduling was

vish @ 14 Feb 2010 06:28 PM

for me optimal scheduling was easy , consecutive number was tricky.....

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