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DeltaABC lies in the plane with A(0,0), ...

`DeltaABC` lies in the plane with `A(0,0), B(0,1)` and `C(1.0).` Points `M` and `N` are chosen on `AB` and `AC,` respectively, such that `MN` is parallel to `BC` and `MN` divides the area of `DeltaABC` in half. Find the coordinates of `M.`

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