Z Matrix

Little Z wants to create a \( n \times n \) Z matrix.

The matrix consists of \( n \) rows and \( n \) columns. The first row, the last row, and the anti-diagonal (i.e. the set of positions where the column index equals \( n - i + 1 \) for the \( i^{th} \) row) should be filled with the character Z. All the other positions are filled with -.

For example, when \( n = 6 \), the Z matrix is:

ZZZZZZ
----Z-
---Z--
--Z---
-Z----
ZZZZZZ

inputFormat

The input consists of a single integer \( n \) representing the size of the matrix.

Constraints: \( 1 \leq n \ \text{(reasonable bound)} \).

outputFormat

Output the Z matrix pattern in \( n \) lines. Each line should contain exactly \( n \) characters.

sample

3

ZZZ
-Z-
ZZZ