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.
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.
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…
Input: 2 4 5 Output: 2 1 4 3 3 1 4 5 2
It's possible for O(n^2) to pass in well under 1s. :P
this assumes up to 20000 of Spades. and not just 13.
Solve it as if the time limit is 1sLast edit: 2011-07-27 03:29:31
Sai Kiran Reddy Jakka:
@shaka:thanks for the information:)
Time limit too easy to pass!!! Even a O(n^2) solution will get AC :)
Raul Angel Ballester:
time limit should be 1s not 11s ;)