Goat in the Garden - 3`

Thr Peter Vasilyevich's garden has a triangular shape and is not fenced. Peter Vasilyevich wants to bind a goat to the peg in the garden so that his pasture area will be maximum, but the goat will not go to neighbors' area.

Find the place in the garden where to bind a goat.

Input

The program receives the coordinates of the vertices of three corners of the garden. The corner coordinates represents with a pair of integers that do not exceed 10^4 in absolute value.

Output

Print two numbers - the coordinates of the peg to which you want to tie a goat, with an accuracy of at least 6 decimal places.

Examples