Increasing-Column Triangle

Source: Phước Hưng OJ

Version: Phuoc Hung OJ Extended

Problem Statement

Given $n$, output $n$ rows. Row $i$ contains the integers $1,2,\ldots,i$ in increasing order, separated by one space and without trailing spaces.

Input

One line contains the integer $n$.

Output

Print $n$ rows in increasing row order.

Subtasks

• Subtask 1 (20%): $1\le n\le 3$.

• Subtask 2 (30%): $1\le n\le 9$.

• Subtask 3 (50%): $1\le n\le 30$.

Examples

Example 1

Input:

4

Output:

1
1 2
1 2 3
1 2 3 4

Explanation:

Row i prints columns numbered 1 through i. For this sample, the input is 4; the displayed rows follow these rules exactly.

Example 2

Input:

1

Output:

1

Explanation:

Row i prints columns numbered 1 through i. For this sample, the input is 1; the displayed rows follow these rules exactly.