ZYB's Premutation

Time Limit: 2000/1000 MS (Java/Others)

Memory Limit: 131072/131072 K (Java/Others)

Description

$ZYB$ has a premutation $P$,but he only remeber the reverse log of each prefix of the premutation,now he ask you to
restore the premutation.

Pair $(i,j)(i < j)$ is considered as a reverse log if $A_i>A_j$ is matched.

Input

In the first line there is the number of testcases T.

For each teatcase:

In the first line there is one number $N$.

In the next line there are $N$ numbers $A_i$,describe the number of the reverse logs of each prefix,

The input is correct.

$1 \leq T \leq 5$,$1 \leq N \leq 50000$

Output

For each testcase,print the ans.

Sample Input

1 3 0 1 2

Sample Output

3 1 2

Hint

hujie

Source

BestCoder Round #65

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