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.