Description

Input three natural numbers $N, i, j$ ($1 \leq i \leq N$, $1 \leq j \leq N$), and output the positions of all squares in an $N \times N$ chessboard (where rows and columns are numbered starting from 1) that are in the same row, same column, or same diagonal as the square $(i, j)$.

For example: When $n=4$, $i=2$, $j=3$, it represents the square in the second row and third column of the chessboard.

When $n=4$, $i=2$, $j=3$, the output is:
(2,1) (2,2) (2,3) (2,4) Positions of squares in the same row
(1,3) (2,3) (3,3) (4,3) Positions of squares in the same column
(1,2) (2,3) (3,4) Positions of squares on the top-left to bottom-right diagonal
(4,1) (3,2) (2,3) (1,4) Positions of squares on the bottom-left to top-right diagonal

Input Format

One line containing three natural numbers $N$, $i$, $j$, separated by single spaces ($1 \leq N \leq 10$).

Output Format

First line: Output the positions of squares in the same row from left to right;
Second line: Output the positions of squares in the same column from top to bottom;
Third line: Output the positions of squares on the top-left to bottom-right diagonal;
Fourth line: Output the positions of squares on the bottom-left to top-right diagonal.

Each square position should be formatted as: $(x,y)$, where $x$ is the row number and $y$ is the column number, using English punctuation with no spaces in between. Separate adjacent square positions with a single space.

4 2 3

(2,1) (2,2) (2,3) (2,4)
(1,3) (2,3) (3,3) (4,3)
(1,2) (2,3) (3,4)
(4,1) (3,2) (2,3) (1,4)

源码

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