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汉诺塔VIII

Time Limit: 3000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 1186 Accepted Submission(s): 628

Problem Description

1,2,...,n表示n个盘子．数字大盘子就大．n个盘子放在第１根柱子上．大盘不能放在小盘上．在第１根柱子上的盘子是a[1],a[2],...,a[n]. a[1]=n,a[2]=n-1,...,a[n]=1.即a[1]是最下面的盘子．把n个盘子移动到第３根柱子．每次只能移动１个盘子，且大盘不能放在小盘上．问移动m次后的状况.

Input

第1行是整数T,表示有T组数据，下面有T行
每行2个整数n (1 ≤ n ≤ 63) ,m≤ 2^n-1

Output

输出移动m次后的状况．每组输出３行，第i行第１个数是第i根柱子上的盘子数,然后是盘子的号数．

Sample Input

3
3 2
4 5
39 183251937942

Sample Output

1 3
1 2
1 1
2 4 1
1 3
1 2
13 39 36 33 30 27 24 21 18 15 12 9 4 1
12 38 35 32 29 26 23 20 17 14 11 8 5
14 37 34 31 28 25 22 19 16 13 10 7 6 3 2

Author

Zhousc

Source

ECJTU 2008 Summer Contest

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