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There are 4 points on a plane coordinate system.
These points have the following coordinates:
1.(0;0)
2.(1;0)
3.(0;1)
4.(1;1)
These 4 points are to be repositioned.
You may only reposition points in the following way:
You may only change the position of a point, if there is another
point exactly in the middle between the original and the new
position of the point.
Now, I have to prove whether or whether not it is possible to
reposition the points, in order to get the following coordinates:
1.(0;0)
2.(1;1)
3.(2;-1)
4.(3;0)
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