You are given an integer n and a cluster a1,a2,… ,an. You should reorder the components of the cluster an in such manner that the amount of MEX on prefixes (I-th prefix is a1,a2,… ,computer based intelligence) is expanded. Officially, you should find an exhibit b1,b2,… ,bn, to such an extent that the arrangements of components of clusters an and b are equivalent (it is comparable to cluster b can be found as a cluster a with some
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You are given an integer n and a cluster a1,a2,… ,an. You should reorder the components of the cluster an in such manner that the amount of MEX on prefixes (I-th prefix is a1,a2,… ,computer based intelligence) is expanded.
Officially, you should find an exhibit b1,b2,… ,bn, to such an extent that the arrangements of components of clusters an and b are equivalent (it is comparable to cluster b can be found as a cluster a with some reordering of its components) and ∑i=1nMEX(b1,b2,… ,bi) is expanded.
MEX of a bunch of nonnegative integers is the insignificant nonnegative integer to such an extent that it isn't in the set.
For instance, MEX({1,2,3})=0, MEX({0,1,2,4,5})=3.
Input
The principal line contains a solitary integer t (1≤t≤100) — the number of experiments.
The principal line of each experiment contains a solitary integer n (1≤n≤100).
The second line of each experiment contains n integers a1,a2,… ,an (0≤
Output
For each experiment print an exhibit b1,b2,… ,bn — the ideal reordering of a1,a2,… ,an, so the amount of MEX on its prefixes is amplified.
On the off chance that there exist numerous ideal answers you can view as any.
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