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Problems

Point of heights intersection

Point of heights intersection

Time limit 1 second
Memory limit 128 MiB

Find the intersection point of heights for given triangle.

Input data

The coordinates of the three vertices of triangle (first the coordinates of the first vertex, then the second, then the third). Coordinates are the pair of integers not exceeding 10^4 in absolute value.

Output data

Print two numbers - the coordinates of intersection point for triangle heights with an accuracy of at least 6 decimal digits.

Examples

Input example #1
0 0
3 0
0 4
Output example #1
0.0 0.0