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ZOJ Problem Set - 3593
One Person Game

Time Limit: 2 Seconds      Memory Limit: 65536 KB

There is an interesting and simple one person game. Suppose there is a number axis under your feet. You are at point A at first and your aim is point B. There are 6 kinds of operations you can perform in one step. That is to go left or right by a,b and c, here c always equals to a+b.

You must arrive B as soon as possible. Please calculate the minimum number of steps.


There are multiple test cases. The first line of input is an integer T(0 < T ≤ 1000) indicates the number of test cases. Then T test cases follow. Each test case is represented by a line containing four integers 4 integers A, B, a and b, separated by spaces. (-231A, B < 231, 0 < a, b < 231)


For each test case, output the minimum number of steps. If it's impossible to reach point B, output "-1" instead.

Sample Input

0 1 1 2
0 1 2 4

Sample Output


Author: CAO, Peng
Contest: The 12th Zhejiang University Programming Contest
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