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Ask: the point set into A point set B minimum distance?

Time:01-23

Recently think a question:
A two-dimensional coordinate set A and B, there are the same number of points
Goal is to transform some point coordinates, A transformation for B
O point need to move in A (European) how much is the smallest distance?



Such as this figure, the need to move is A1, A2, A5 these three points, mobile is the minimum distance between the 3

This topic algorithm should be used?

P.s., if the number of point A and B is different, how should solve?
An increase or decrease in the number of different, some is not within the moving distance
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