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Sub Sequence

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 1050    Accepted Submission(s): 458


Problem Description
Recently, YCC is studying sequence problems. And he is struggling with it!!!= =
For such an ACMer like you, it is commonly believed that you must know the Longest Increasing Subsequence problem. Now Let¡¯s define some useful functions and symbols:
Let U(A) be the length of the longest increasing subsequence of the original sequence A;
Let D(A) be the length of the longest decreasing subsequence of the original sequence A;
Let H(A) be the maximum value of U(A) and D(A), that is H(A) = max{U(A), D(A)}.
H(A)!!! Ah... Zauber anzahl, ist es nicht?
Now YCC wants to study the attributes of all the permutations of integer numbers from 1 to N. He wants to get such permutation P having minimum H(P). If more than one permutation satisfies the condition, you should give the lexicographically smallest one.
 

Input
The first line contains an integer T which indicates the number of test cases.
The following T lines each contain an integer N (1 ¡Ü N ¡Ü 100000).
 

Output
For each case, output N space separated integers in one line, which denote the permutation expected.
 

Sample Input
3 1 2 3
 

Sample Output
1 1 2 1 3 2
 

Source
 

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