TPERML - Permutation generator


For each index of n element permutation print m subsequent permutations (in separate lines) in lexicographical order starting from the one pointed by index. Between outputs of subsequent tests there should be an empty line. Next permutation to the last one is the first one.

Input

t [number of tests <= 1000]
n index m [2 <= n <= 100 - number of elements in permutation, 0 <= index < n! - index of the first permutation, 1 <= m <= 100 - how many permutations to print]

Output

p1 p2 ... p(n-1) pn [permutations]
p1 p2 ... pn p(n-1)

p1 p2 ... p(n-1) pn [permutations]
p1 p2 ... pn p(n-1)


Example

Input:
12
2 1 1
3 3 3
4 16 3
4 5 9
2 1 1
2 1 1
3 5 1
5 91 7
2 1 1
5 100 7
3 5 1
2 1 1

Output:
2 1

2 3 1
3 1 2
3 2 1

3 4 1 2
3 4 2 1
4 1 2 3

1 4 3 2
2 1 3 4
2 1 4 3
2 3 1 4
2 3 4 1
2 4 1 3
2 4 3 1
3 1 2 4
3 1 4 2

2 1

2 1

3 2 1

4 5 1 3 2
4 5 2 1 3
4 5 2 3 1
4 5 3 1 2
4 5 3 2 1
5 1 2 3 4
5 1 2 4 3

2 1

5 1 4 2 3
5 1 4 3 2
5 2 1 3 4
5 2 1 4 3
5 2 3 1 4
5 2 3 4 1
5 2 4 1 3

3 2 1

2 1

hide comments
nadstratosfer: 2020-01-04 04:46:22

Pythonists beware, xrange in Py2 cannot handle arguments larger than 32bit integer. Use range, itertools.slice or submit in Py3.

Madhukar Reddy: 2016-08-03 19:24:05

Is it possible for two different test cases be in same line separated by space?

Last edit: 2016-08-03 19:24:24
akshay_patel: 2016-03-18 18:36:19

Getting runtime error (SIGXFSZ)
Any suggestions?

Purav Shah: 2015-06-30 08:46:30

@Piotr Piotrowski: Could u check my attempts, I'm getting WA and I think they are because of the output format

EDIT: Got AC....
1) Use string to input index
2) Use array and not string for modification of index

Last edit: 2015-08-29 08:27:42
srikardurgi: 2012-08-26 05:10:16

what is SGARBT error ...
my program works fine for the given test case.. what should be done to get rid of this error

Last edit: 2012-08-26 05:10:45
Devil D: 2012-02-01 09:49:28

@Santiago: value of factorials can go into big ints..

Santiago Palacio: 2011-07-10 04:48:32

@govardhan: i dont think any biginteger is necesary, as biggest number to handle is 1000 (in t) and 100 in permutations.

EDIT: Any tricky test case? i'm getting all examples ok, managing well the empty lines, but i keep getting WA. As it seems, m can be 0. How do i manage that?

Last edit: 2011-08-22 05:25:29
Govardhan Reddy M: 2011-03-31 17:09:54

should i have to use only bigInt to read index ?? how to do in C ?? customized bigIndex ?? please help

.:: Pratik ::.: 2009-06-30 19:37:09

Huge output, try to use fast output.


Added by:Piotr Piotrowski
Date:2004-11-25
Time limit:4.505s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: NODEJS PERL6 VB.NET