CF652A.Gabriel and Caterpillar

普及/提高-

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题目描述

The 99 -th grade student Gabriel noticed a caterpillar on a tree when walking around in a forest after the classes. The caterpillar was on the height h1h_{1} cm from the ground. On the height h2h_{2} cm ( h_{2}>h_{1} ) on the same tree hung an apple and the caterpillar was crawling to the apple.

Gabriel is interested when the caterpillar gets the apple. He noted that the caterpillar goes up by aa cm per hour by day and slips down by bb cm per hour by night.

In how many days Gabriel should return to the forest to see the caterpillar get the apple. You can consider that the day starts at 1010 am and finishes at 1010 pm. Gabriel's classes finish at 22 pm. You can consider that Gabriel noticed the caterpillar just after the classes at 22 pm.

Note that the forest is magic so the caterpillar can slip down under the ground and then lift to the apple.

输入格式

The first line contains two integers h1,h2h_{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,ba,b ( 1<=a,b<=1051<=a,b<=10^{5} ) — the distance the caterpillar goes up by day and slips down by night, in centimeters per hour.

输出格式

Print the only integer kk — 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 1-1 .

输入输出样例

  • 输入#1

    10 30
    2 1
    

    输出#1

    1
    
  • 输入#2

    10 13
    1 1
    

    输出#2

    0
    
  • 输入#3

    10 19
    1 2
    

    输出#3

    -1
    
  • 输入#4

    1 50
    5 4
    

    输出#4

    1
    

说明/提示

In the first example at 1010 pm of the first day the caterpillar gets the height 2626 . At 1010 am of the next day it slips down to the height 1414 . And finally at 66 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.

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