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Exact Bezier Subdivision Audit

Subdivide one planar Bezier curve with2..6integercontrolpoints[-20,20] at explicit rational t0..1 numerator0..denominator<=8. Return normalizedparameter,every intermediate deCasteljau triangle coordinate,and complete same-degree left/right child controlpolygons oriented from original start to split and split to original end. Every coordinate is an exact reduced signed-numerator/positive-denominator decimal-string pair;split point included.

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