# Almost Ternary Matrix solution codeforces-

Almost Ternary Matrix solution codeforces-

You are given two even integers n and m. Your task is to find any binary matrix a with n rows and m columns where every cell (,)(i,j) has exactly two neighbours with a different value than ,ai,j.

Two cells in the matrix are considered neighbours if and only if they share a side. More formally, the neighbours of cell (,)(x,y) are: (1,)(x−1,y)(,+1)(x,y+1)(+1,)(x+1,y) and (,1)(x,y−1).

It can be proven that under the given constraints, an answer always exists.

Input

## Almost Ternary Matrix solution codeforces

Each test contains multiple test cases. The first line of input contains a single integer t (11001≤t≤100) — the number of test cases. The following lines contain the descriptions of the test cases.

The only line of each test case contains two even integers n and m (2,502≤n,m≤50) — the height and width of the binary matrix, respectively.

Output

For each test case, print n lines, each of which contains m numbers, equal to 00 or 11 — any binary matrix which satisfies the constraints described in the statement.

It can be proven that under the given constraints, an answer always exists.

Example

input

Copy

## Almost Ternary Matrix solution codeforces

3
2 4
2 2
4 4


output

Copy
1 0 0 1
0 1 1 0
1 0
0 1
1 0 1 0
0 0 1 1
1 1 0 0
0 1 0 1

## Almost Ternary Matrix solution codeforces

Note

White means 00, black means 11.

 The binary matrix from the first test case The binary matrix from the second test case The binary matrix from the third test case