CTRICK - Card Trick
The magician shuffles a small pack of cards, holds it face down and performs the following procedure:
- The top card is moved to the bottom of the pack. The new top card is dealt face up onto the table. It is the Ace of Spades.
- Two cards are moved one at a time from the top to the bottom. The next card is dealt face up onto the table. It is the Two of Spades.
- Three cards are moved one at a time…
- This goes on until the nth and last card turns out to be the n of Spades.
This impressive trick works if the magician knows how to arrange the cards beforehand (and knows how to give a false shuffle). Your program has to determine the initial order of the cards for a given number of cards, 1 ≤ n ≤ 20000.
Input
On the first line of the input is a single positive integer, telling the number of test cases to follow. Each case consists of one line containing the integer n.
Output
For each test case, output a line with the correct permutation of the values 1 to n, space separated. The first number showing the top card of the pack, etc…
Example
Input: 2 4 5 Output: 2 1 4 3 3 1 4 5 2
hide comments
i_am_looser:
2015-05-29 20:55:02
segment Trees.... ; ) |
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Basant kumar bhala:
2015-03-01 08:31:14
1.39s with linked lists |
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mkrjn99:
2015-01-26 06:19:59
nlog^2(n) :D |
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CoNtRaDiCtIoN:
2014-12-13 21:18:30
loved it after solving the problem tried the whole new approach :) =D |
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Bumbler:
2014-10-31 20:51:44
Try with segment trees :) |
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knight:
2014-10-20 22:12:01
Solving this problem with BIT gives real pleasure :)
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Ankit Verma:
2014-10-15 19:31:34
very good question |
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Dharmendra Verma:
2014-09-08 01:40:51
how to solve this with BIT?? |
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zicowa:
2014-04-05 13:00:48
i solved it using seg tree in nlogn nice question Last edit: 2014-04-05 14:09:00 |
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innovolt:
2014-03-29 07:47:06
did it with CDLL....AC in 1 go..simple 1 |
Added by: | Camilo Andrés Varela León |
Date: | 2006-11-23 |
Time limit: | 3.279s |
Source limit: | 50000B |
Memory limit: | 1536MB |
Cluster: | Cube (Intel G860) |
Languages: | All except: ERL JS-RHINO NODEJS PERL6 VB.NET |
Resource: | Nordic Collegiate Contest 2006 |