第六屆河南省程序設計大賽：Card Trick

描述

The magician shuffles a small pack of cards, holds it face down and performs the following procedure:

1. 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.
2. 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.
3. Three cards are moved one at a time…
4. 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 ≤ 13.

輸入

On the first line of the input is a single positive integer k, telling the number of test cases to follow. 1 ≤ k ≤ 10 Each case consists of one line containing the integer n. 1 ≤ n ≤ 13

輸出

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…

樣例輸入

2
4
5

樣例輸出

2 1 4 3
3 1 4 5 2

題意：

從牌頂取出1張牌，放在牌底，取出牌頂，爲1；

從牌頂取出2張牌，放在牌底，取出牌頂，爲2；

從牌頂取出3張牌，放在牌底，取出牌頂，爲3；

問有n張牌想要達到目的牌最初須要怎樣排列？

#include<stdio.h>
#define N 1020
int a[N];
int main()
{
	int T,i,n,m,k,h,t;
	scanf("%d",&T);
	while(T--)
	{
		scanf("%d",&n);
		h=0;t=0;
		a[t]=a[h]=n;
		k=n-1;
		while(k)
		{
			h++;
			m=k;
			a[h]=m;
			while(m--)
			{
				h++;
				a[h]=a[t];
				t++;
			}
			k--;
		}
		for(i=h;i>=t;i--)
			printf("%d ",a[i]);
		printf("\n");
	}
	return 0;
}