TEST DATA FOR `bdsum'

Input for test 1

4 16

Output for test 1

3 1 2 4

Input for test 2

1 1

Output for test 2

1

Input for test 3

3 9

Output for test 3

1 3 2

Input for test 4

5 39

Output for test 4

4 1 3 2 5

Input for test 5

6 110

Output for test 5

1 5 2 3 6 4

Input for test 6

8 558

Output for test 6

1 5 6 2 3 8 7 4

Input for test 7

9 1610

Output for test 7

1 2 3 5 9 6 8 4 7

Input for test 8

10 2720

Output for test 8

1 2 5 3 4 7 6 8 9 10

Input for test 9

9 730

Output for test 9

7 6 4 2 1 3 5 8 9

Input for test 10

7 288

Output for test 10

1 2 4 5 6 3 7

Input for test 11

10 2196

Output for test 11

1 6 9 4 2 3 5 10 7 8