CF1926B.Vlad and Shapes

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题目描述

Vladislav has a binary square grid of n×nn \times n cells. A triangle or a square is drawn on the grid with symbols 1\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 kk ( k>1k>1 ) consecutive rows, where the ii -th row has 2i12 \cdot i-1 consecutive characters 1\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=4k=4 , k=3k=3 . The two right pictures don't contain triangles.- A square is a shape consisting of kk ( k>1k>1 ) consecutive rows, where the ii -th row has kk consecutive characters 1\texttt{1} , which are positioned at an equal distance from the left edge of the grid.

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

输入格式

The first line contains a single integer tt ( 1t1001 \leq t \leq 100 ) — the number of test cases.

The first line of each test case contains a single integer nn ( 2n102 \leq n \leq 10 ) — the size of the grid.

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

The grid contains exactly one triangle or exactly one square that contains all the 1\texttt{1} s in the grid. It is guaranteed that the size of the triangle or square is greater than 11 (i.e., the shape cannot consist of exactly one 1).

输出格式

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

输入输出样例

  • 输入#1

    6
    3
    000
    011
    011
    4
    0000
    0000
    0100
    1110
    2
    11
    11
    5
    00111
    00010
    00000
    00000
    00000
    10
    0000000000
    0000000000
    0000000000
    0000000000
    0000000000
    1111111110
    0111111100
    0011111000
    0001110000
    0000100000
    3
    111
    111
    111

    输出#1

    SQUARE
    TRIANGLE
    SQUARE
    TRIANGLE
    TRIANGLE
    SQUARE
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