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:T68c,

Given a $$$n$$$ by $$$m$$$ grid consisting of '.' and '#' characters, there exists a whole manhattan circle on the grid. The top left corner of the grid has coordinates $$$(1,1)$$$, and the bottom right corner has coordinates $$$(n, m)$$$.

Point ($$$a, b$$$) belongs to the manhattan circle centered at ($$$h, k$$$) if $$$|h - a| + |k - b| \lt r$$$, where $$$r$$$ is a positive constant.

On the grid, the set of points that are part of the manhattan circle is marked as '#'. Find the coordinates of the center of the circle.

Input

The first line contains $$$t$$$ ($$$1 \leq t \leq 1000$$$) — the number of test cases.

The first line of each test case contains $$$n$$$ and $$$m$$$ ($$$1 \leq n \cdot m \leq 2 \cdot 10^5$$$) — the height and width of the grid, respectively.

The next $$$n$$$ lines contains $$$m$$$ characters '.' or '#'. If the character is '#', then the point is part of the manhattan circle.

It is guaranteed the sum of $$$n \cdot m$$$ ov

Manhattan Circle

Examples