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.

Input

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).

Output

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

见题面 Input 部分

见题面 Output 部分