You are given n circles (n <= 35000) and m points (m <= 35000). No pair of circles intersect each other. In one turn, you can move a point into or out of a circle, each time it costs amount of given variable which go with each circle. So which you try to find is the minimum cost to gather all point into one region which are divided by the perimeter of circles.

Absolute value of coordinate does not exceed 10^6 Featured cost of each circle does not exceed 10^6, too.

Actually this problem originates from my training test, but I cannot find any solution in contest's t. So I will be really appreciated if you consider to give me any idea.