# Squared away

Geometry Level 5

Given is a square with sides of length 100.

Points $$P_1, \dots, P_{12}$$ lie on the square in such a way, that the total pairwise distance between the points $D = \sum_{i<j} d(P_i,P_j)$ is maximal.

How much is $$\lfloor D \rfloor$$? (I.e. $$D$$ rounded down to the nearest smaller integer.)

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