Two people are having a fun snowball fight. The fight begins with both people throwing a snowball at each other at the same time. After the $i$-th person throws a snowball, it takes $w_i$ seconds before they throw another. Every snowball that is thrown will hit the other person. If the $i$-th person is hit by at least $h_i$ snowballs, they will give up. If both people give up at the same time, the fight is a tie. Otherwise, the remaining person is declared the winner. What will be the outcome of the fight?

Constraints

$1\le h_i,w_i\le 20$

Input Specification

The input consists of two lines. The first line contains two space-separated integers $h_1$ and $w_1$. The second line contains two space-separated integers $h_2$ and $w_2$.

Output Specification

Output a single integer: $1$ if the first person wins, $2$ if the second person wins, or $-1$ if the fight is a tie.

Sample Input 1

2 3
2 4

Output for Sample Input 1

1

Explanation for Output for Sample Input 1

The first person is able to throw their second snowball after 3 seconds, forcing the second person to give up before they can throw their second snowball.

Sample Input 2

3 4
4 6

Output for Sample Input 2

-1

Explanation for Output for Sample Input 2

At $4$ seconds, the first person throws their second snowball.
At $6$ seconds, the second person throws their second snowball.
At $8$ seconds, the first person throws their third snowball.
At $12$ seconds, both players throw another snowball.
The first person is hit by $3$ snowballs, and the second hit by $4$, thus both give up at the same time.