NMK

Use each integer from 1 through N exactly once to form a sequence.

The sequence must have longest strictly increasing subsequence length exactly M, and longest strictly decreasing subsequence length exactly K.

Print one sequence satisfying these conditions.

The first line contains three integers N, M, and K.

Print a sequence satisfying the conditions on one line, with numbers separated by spaces.

If no such sequence exists, print -1.

• 1 <= N <= 500
• 1 <= M, K <= N