Officially, you should find a cluster b1,b2,… ,bn, to such an extent that the arrangements of components of exhibits an and b are equivalent (it is identical 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 negligible nonnegative integer to such an extent that it isn't in the set.
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Officially, you should find a cluster b1,b2,… ,bn, to such an extent that the arrangements of components of exhibits an and b are equivalent (it is identical 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 negligible 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 primary line contains a solitary integer t (1≤t≤100) — the number of experiments.
The primary 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.
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