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Home » Compete » TGPA 2010 » Fight

Fight

Problem code: TGPA03

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We, the team members of Conscientia regard ourselves as very intelligent and hardworking people. So when the time came to distribute the responsibility for the food stalls we all knew that the one responsible would gain maximum benefits. That started a fight. Now being very intelligent I proposed that we come to a conclusion based on some random procedure. So I proposed that we all should stand sequentially and remove every kth person from the line until only one is left. Everyone thought this to be a really good idea as only I, being the only one from CS background knew that this is not at all random. Now that I have been chosen, you have to basically prove to the team that I made a fool of them.

Input Format

The first line contains the number of test cases, t. For each test case, a single line contains a single number n denoting the number of people in the team.

Output Format

For each test case the position where I stood to get the responsibility for the food stalls in a seperate line.

Limits

0<=n<=10^8

Sample Input:
2
10 3
20 5

Sample Output:
4
7


Author: theta
Date Added: 26-02-2010
Time Limit: 3 sec
Source Limit: 50000 Bytes
Languages: C, CLOJ, CPP 4.3.2, F#, GO, PERL6, PYTH 3.1.2, TEXT


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Comments

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please give the range of t

balajiganapath @ 28 Feb 2010 12:30 PM

please give the range of t and k

1<=k<=n 1<=t<=10

tgpa_admin @ 28 Feb 2010 12:51 PM

1<=k<=n

1<=t<=10

what happens whent he number

tombstone @ 28 Feb 2010 02:31 PM

what happens whent he number of remaining people are less than k ?

does removing the kth person

tombstone @ 28 Feb 2010 02:32 PM

does removing the kth person mean removing the people standing in positions that are multiple of k ?

The second number in each

tgpa_admin @ 28 Feb 2010 02:37 PM

The second number in each line denotes the value of k

@vivek when the n left is

tgpa_admin @ 28 Feb 2010 02:45 PM

@vivek

when the n left is less than k, then also the count goes on circularly with k

yes

@vivek when the no left is

tgpa_admin @ 28 Feb 2010 02:45 PM

@vivek

when the no left is less than k, then also the count goes on circularly with k

yes

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