Staircase Number Triangle

Source: Phước Hưng OJ

Problem Statement

Given n, print n rows. Row i consists of 1,2,...,i in increasing order, separated by single spaces with no trailing space.

Input

One line containing exactly one integer n.

Output

Print exactly the required output described above. Do not print prompts, extra characters, or blank lines. For numerical rows, separate adjacent values with a single space and no trailing space.

Subtasks

• Subtask 1 (20%): 1 <= n <= 3.
• Subtask 2 (30%): 1 <= n <= 8.
• Subtask 3 (50%): 1 <= n <= 15.

Examples

Example 1

Input:

3

Output:

1
1 2
1 2 3

Explanation:

Row i lists 1 through i.

Example 2

Input:

1

Output:

1

Explanation:

The first row only contains 1.