Printing GIST

Time limit1sMemory limit1024 MB

Summary

Given K, print the 3x4 GIST picture with each cell enlarged into a K by K block.

Level: Easy1 of 10
Topics: Implementation, Simulation
Solved: No attempts yet

Problem

GIST student ambassador Jionnarae is preparing a large banner to promote GIST. The banner will include the following picture.

G...
.I.T
..S.

Given an integer $K$ , print the picture enlarged $K$ times.

Enlarging the picture $K$ times means treating the picture as a matrix and enlarging that matrix. The details are as follows. A picture with width $M$ and height $N$ is represented as an $N \times M$ matrix $X = (x_{ij})$ . The matrix $Y$ obtained by enlarging $X$ $K$ times is a $KN \times KM$ matrix defined as follows.

$Y = (y_{ij}), \quad y_{ij} = x_{\left\lfloor\frac{i + K - 1}{K}\right\rfloor\left\lfloor\frac{j + K - 1}{K}\right\rfloor}$

Input

The first line contains an integer $K$ . ( $1 \leq K \leq 100$ )

Output

Print the picture enlarged $K$ times.

Examples2

Example 1
Input
```
1
```
Expected output
```
G...
.I.T
..S.
```

Example 2

Input

Expected output

GGGGG...............
GGGGG...............
GGGGG...............
GGGGG...............
GGGGG...............
.....IIIII.....TTTTT
.....IIIII.....TTTTT
.....IIIII.....TTTTT
.....IIIII.....TTTTT
.....IIIII.....TTTTT
..........SSSSS.....
..........SSSSS.....
..........SSSSS.....
..........SSSSS.....
..........SSSSS.....