TEST DATA FOR `dream'

Input for test 1

129 137

Output for test 1

1 10 2 9 1 1 1 1 0 1

Input for test 2

1 1

Output for test 2

0 1 0 0 0 0 0 0 0 0

Input for test 3

1 9

Output for test 3

0 1 1 1 1 1 1 1 1 1

Input for test 4

234 432

Output for test 4

40 40 106 138 73 40 40 40 40 40

Input for test 5

6834 9535

Output for test 5

840 840 840 842 841 777 906 1740 1806 1376

Input for test 6

53920 75931

Output for test 6

8602 8602 8611 8683 9601 15613 18601 14533 8601 8613

Input for test 7

111111 222222

Output for test 7

54321 153087 79017 54321 54321 54321 54321 54321 54321 54321

Input for test 8

6573920 6959392

Output for test 8

193688 193688 193698 193770 194597 220070 670070 290677 294597 253456

Input for test 9

204857327 205341273

Output for test 9

828132 343459 827109 284442 377141 577141 243194 243862 286858 344185

Input for test 10

1799999999 1800200000

Output for test 10

600007 400002 100001 100000 100000 100000 100000 100001 300001 100008