Triangle from <#11416

Triangle from <

1 second
256 megabytes
Very easy

Given a positive integer , print an image with 2 \cdot n - 1 rows and columns, formed by space characters and the character <, as shown in the example.

Input

One positive integer n\:(n > 1).

Output

Print the image of size (2 \cdot n - 1) \cdot n.

Examples

Example 1

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