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B. Intersection

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputYou are given two set of points. The first set is determined by the equation *A*_{1}*x* + *B*_{1}*y* + *C*_{1} = 0, and the second one is determined by the equation *A*_{2}*x* + *B*_{2}*y* + *C*_{2} = 0.

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

Input

The first line of the input contains three integer numbers *A*_{1}, *B*_{1}, *C*_{1} separated by space. The second line contains three integer numbers *A*_{2}, *B*_{2}, *C*_{2} separated by space. All the numbers are between -100 and 100, inclusive.

Output

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

Examples

Input

1 1 0

2 2 0

Output

-1

Input

1 1 0

2 -2 0

Output

1

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