Problems
The Segment
The Segment
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The endpoints of the segment have integer coordinates. Count the number of points on the segment with integer coordinates.
\InputFile
Four integers represent the coordinates $x_1, y_1, x_2, y_2$ of the endpoints of the segment. The coordinate values do not exceed $2 \cdot 10^9$ in absolute value.
\OutputFile
Print the number of points on the segment with integer coordinates.
Input example #1
0 0 3 3
Output example #1
4
Input example #2
2 1 6 3
Output example #2
3