#K45547. Central Server Optimal Location

    ID: 27777 Type: Default 1000ms 256MiB

Central Server Optimal Location

Central Server Optimal Location

Given n laboratories with their coordinates, find the optimal location for the central server. The optimal location is defined as the arithmetic mean of the coordinates. In other words, if the laboratories are located at \( (x_1, y_1), (x_2, y_2), \dots, (x_n, y_n) \), then the optimal location \( (x^*, y^*) \) is given by:

\( x^* = \frac{\sum_{i=1}^{n} x_i}{n} \) and \( y^* = \frac{\sum_{i=1}^{n} y_i}{n} \).

The answers should be printed with six decimal places of precision.

inputFormat

The first line contains an integer n — the number of laboratories. Each of the following n lines contains two space-separated integers representing the x and y coordinates of each laboratory.

outputFormat

Print the optimal x and y coordinates separated by a space, each formatted to six decimal places.

## sample
3
0 0
2 0
1 1
1.000000 0.333333

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