Problems
Three digit numbers
Three digit numbers
Find all three digit numbers with sum of digits equals to n.
Input
One integer n (0 ≤ n ≤ 28).
Output
Print in the first line the number of found three digit numbers. In the next lines print these numbers in increasing order.
Input example #1
3
Output example #1
6 102 111 120 201 210 300
Input example #19
18
Output example #19
54 189 198 279 288 297 369 378 387 396 459 468 477 486 495 549 558 567 576 585 594 639 648 657 666 675 684 693 729 738 747 756 765 774 783 792 819 828 837 846 855 864 873 882 891 909 918 927 936 945 954 963 972 981 990