CF1926B.Vlad and Shapes
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题目描述
Vladislav has a binary square grid of n×n cells. A triangle or a square is drawn on the grid with symbols 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⋅i−1 consecutive characters 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 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.
输入格式
The first line contains a single integer t ( 1≤t≤100 ) — the number of test cases.
The first line of each test case contains a single integer n ( 2≤n≤10 ) — the size of the grid.
The next n lines each contain n characters 0 or 1 .
The grid contains exactly one triangle or exactly one square that contains all the 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).
输出格式
For each test case, output "SQUARE" if all the 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