问题 AR: Gabriel and Caterpillar

内存限制:128 MB 时间限制:1.000 S
评测方式:文本比较 命题人:
提交:284 解决:154

题目描述

9年级的学生加百利在树上高度为 $h_1$ 的地方发现了一只毛毛虫正向着高度为 $h_2$ 的苹果进发。
它在白天每小时上升 $a$ 厘米,晚上每小时下掉 $b$ 厘米。
可以认为白天从10点开始至22点结束,黑夜从22点开始至次日10点结束。
加百利是在下课后看到毛毛虫。加百利每天14点下课,他想知道,几天后他来恰好能看到毛毛虫正在吃苹果?

输入

The first line contains two integers $ h_{1},h_{2} $ ( $ 1<=h_{1};h_{2}<=10^{5} $ ) — the heights of the position of the caterpillar and the apple in centimeters.
The second line contains two integers $ a,b $ ( $ 1<=a,b<=10^{5} $ ) — the distance the caterpillar goes up by day and slips down by night, in centimeters per hour.

输出

Print the only integer $ k $ — the number of days Gabriel should wait to return to the forest and see the caterpillar getting the apple.
If the caterpillar can't get the apple print the only integer $ -1 $ .

样例输入 复制

10 30
2 1

样例输出 复制

1

提示

In the first example at $ 10 $ pm of the first day the caterpillar gets the height $ 26 $ . At $ 10 $ am of the next day it slips down to the height $ 14 $ . And finally at $ 6 $ pm of the same day the caterpillar gets the apple.
Note that in the last example the caterpillar was slipping down under the ground and getting the apple on the next day.