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Convex Hull of Floating-Point Points

Description

Given planar points with finite floating-point coordinates, compute their convex hull using Andrew's monotone-chain algorithm.

Input

The verification-case input consists of an array pts of n points and writable output array hull.

Output

The function produces the number of hull points, with the hull written to hull in boundary order.

Constraints

  • $0 \le n \le 50000$ and every arithmetic result required by the comparisons is finite.

Source

Classical algorithmic problem reconstructed from the verified C artifact.