Restore the permutation

The permutation p is given. Let fi[i] be the number of such j that p[j] > p[i] and j < i. The array fi is called an inversion table for permutation p. Given the inversion table, restore the permutation.

Input

First line contains the order n (0 < n ≤ 2000) of permutation p. Second line contains the table of inversions fi.

Output

Print the permutation p.

Examples