A permutation of length n is an array consisting of n distinct integers from 1 to n in arbitrary order. For example, [2,3,1,5,4] is a permutation, but [1,2,2] is not a permutation (2 appears twice in the array) and [1,3,4] is also not a permutation (n=3 but there is 4 in the array).
For a positive integer n, we call a permutation p of length n good if the following condition holds for every pair i and j (1≤i≤j≤n) — (pi OR pi+1 OR … OR pj−1 OR pj)≥j−i+1, where OR denotes the bitwise OR operation.
In other words, a permutation p is good if for every subarray of p, the OR of all elements in it is not less than the number of elements in that subarray.
Given a positive integer n, output any good permutation of length n. We can show that for the given constraints such a permutation always exists.
Input
Each test contains multiple test cases. The first line contains the number of test cases t(1≤t≤100). Description of the test cases follows.
The first and only line of every test case contains a single integer n (1≤n≤100).
Output
For every test, output any good permutation of length n on a separate line.
Example
Input
Copy
3
1
3
7
Output
Copy
1
3 1 2
4 3 5 2 7 1 6
Note
For n=3, [3,1,2] is a good permutation. Some of the subarrays are listed below.
3 OR 1=3≥2(i=1,j=2)
3 OR 1 OR 2=3≥3(i=1,j=3)
1 OR 2=3≥2(i=2,j=3)
1≥1 i=2,j=2)
Similarly, you can verify that [4,3,5,2,7,1,6] is also good.
#include
using namespace std;
int main()
{
int t;
cin>>t;
while(t--)
{
int n;
cin>>n;
for(int i=1;i<=n;i++) cout<<i<<" ";
cout<<endl;
}
return 0;
}