Problems
The distance from the point to the segment
The distance from the point to the segment
Given a segment in space (\textbf{x_1}, \textbf{y_1}, \textbf{z_1}) - (\textbf{x_2}, \textbf{y_2}, \textbf{z_2}) and the point (\textbf{x}, \textbf{y}, \textbf{z}). Find the distance from the point to the segment.
\InputFile
Given integers \textbf{x_1}, \textbf{y_1}, \textbf{z_1}, \textbf{x_2}, \textbf{y_2}, \textbf{z_2}, \textbf{x}, \textbf{y}, \textbf{z}. Coordinates do not exceed \textbf{1000}.
\OutputFile
Bring out the desired quantity c up at least \textbf{6} digits after the decimal point.
Input example #1
0 0 0 1 1 1 0 0 1
Output example #1
0.8164965809