CF1418F.Equal Product

You are given four integers $n$ , $m$ , $l$ and $r$ .

Let's name a tuple $(x_1, y_1, x_2, y_2)$ as good if:

1. $1 \le x_1 < x_2 \le n$ ;
2. $1 \le y_2 < y_1 \le m$ ;
3. $x_1 \cdot y_1 = x_2 \cdot y_2$ ;
4. $l \le x_1 \cdot y_1 \le r$ .

Find any good tuple for each $x_1$ from $1$ to $n$ inclusive.

The first line contains two integers $n$ and $m$ ( $1 \le n, m \le 2 \cdot 10^5$ ).

The second line contains two integers $l$ and $r$ ( $1 \le l \le r \le nm$ ).

For each $x_1$ from $1$ to $n$ inclusive:

• if there are no such four integers, print $-1$ ;
• otherwise, print four integers $x_1$ , $y_1$ , $x_2$ and $y_2$ . If there are multiple answers, print any of them.