You are given two set of points. The first set is determined by the equation A₁x + B₁y + C₁ = 0, and the second one is determined by the equation A₂x + B₂y + C₂ = 0.

Write the program which finds the number of points in the intersection of two given sets.

The first line of the input contains three integer numbers A₁, B₁, C₁ separated by space. The second line contains three integer numbers A₂, B₂, C₂ separated by space. All the numbers are between -100 and 100, inclusive.

Print the number of points in the intersection or -1 if there are infinite number of points.