CF1728B.Best Permutation
普及/提高-
通过率:0%
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题目描述
Let's define the value of the permutation p of n integers 1 , 2 , ..., n (a permutation is an array where each element from 1 to n occurs exactly once) as follows:
- initially, an integer variable x is equal to 0 ;
- if x<p1 , then add p1 to x (set x=x+p1 ), otherwise assign 0 to x ;
- if x<p2 , then add p2 to x (set x=x+p2 ), otherwise assign 0 to x ;
- ...
- if x<pn , then add pn to x (set x=x+pn ), otherwise assign 0 to x ;
- the value of the permutation is x at the end of this process.
For example, for p=[4,5,1,2,3,6] , the value of x changes as follows: 0,4,9,0,2,5,11 , so the value of the permutation is 11 .
You are given an integer n . Find a permutation p of size n with the maximum possible value among all permutations of size n . If there are several such permutations, you can print any of them.
输入格式
The first line contains one integer t ( 1≤t≤97 ) — the number of test cases.
The only line of each test case contains one integer n ( 4≤n≤100 ).
输出格式
For each test case, print n integers — the permutation p of size n with the maximum possible value among all permutations of size n .
输入输出样例
输入#1
3 4 5 6
输出#1
2 1 3 4 1 2 3 4 5 4 5 1 2 3 6