A11350 | Vlad and Shapes

Vladislav has a binary square grid of $n \times n$ cells. A triangle or a square is drawn on the grid with symbols $\texttt{1}$ . As he is too busy being cool, he asks you to tell him which shape is drawn on the grid.

- A triangle is a shape consisting of $k$ ( $k>1$ ) consecutive rows, where the $i$ -th row has $2 \cdot i-1$ consecutive characters $\texttt{1}$ , and the central 1s are located in one column. An upside down triangle is also considered a valid triangle (but not rotated by 90 degrees).

 Two left pictures contain examples of triangles: $k=4$ , $k=3$ . The two right pictures don't contain triangles.- A square is a shape consisting of $k$ ( $k>1$ ) consecutive rows, where the $i$ -th row has $k$ consecutive characters $\texttt{1}$ , which are positioned at an equal distance from the left edge of the grid.

 Examples of two squares: $k=2$ , $k=4$ .For the given grid, determine the type of shape that is drawn on it.

The first line contains a single integer $t$ ( $1 \leq t \leq 100$ ) — the number of test cases.

The first line of each test case contains a single integer $n$ ( $2 \leq n \leq 10$ ) — the size of the grid.

The next $n$ lines each contain $n$ characters $\texttt{0}$ or $\texttt{1}$ .

The grid contains exactly one triangle or exactly one square that contains all the $\texttt{1}$ s in the grid. It is guaranteed that the size of the triangle or square is greater than $1$ (i.e., the shape cannot consist of exactly one 1).

For each test case, output "SQUARE" if all the $\texttt{1}$ s in the grid form a square, and "TRIANGLE" otherwise (without quotes).