13:I[87,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"Header"] 14:I[1742,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"ProblemView"] 15:T68e,

We will consider the numbers $$$a$$$ and $$$b$$$ as adjacent if they differ by exactly one, that is, $$$|a-b|=1$$$.

We will consider cells of a square matrix $$$n \times n$$$ as adjacent if they have a common side, that is, for cell $$$(r, c)$$$ cells $$$(r, c-1)$$$, $$$(r, c+1)$$$, $$$(r-1, c)$$$ and $$$(r+1, c)$$$ are adjacent to it.

For a given number $$$n$$$, construct a square matrix $$$n \times n$$$ such that:

Each integer from $$$1$$$ to $$$n^2$$$ occurs in this matrix exactly once;
If $$$(r_1, c_1)$$$ and $$$(r_2, c_2)$$$ are adjacent cells, then the numbers written in them must not be adjacent.

Input

The first line contains one integer $$$t$$$ ($$$1 \le t \le 100$$$). Then $$$t$$$ test cases follow.

Each test case is characterized by one integer $$$n$$$ ($$$1 \le n \le 100$$$).

Output

For each test case, output: <

Not Adjacent Matrix

Examples