SP11984 DOMECIR - Dome of Circus

Description

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Description

A travelling circus faces a tough challenge in designing the dome for its performances. The circus has a number of shows that happen above the stage in the air under the dome. Various rigs, supports, and anchors must be installed over the stage, but under the dome. The dome itself must rise above the center of the stage and has a conical shape. The space under the dome must be air-conditioned, so the goal is to design the dome that contains minimal volume. 

You are given a set of n points in the space; (x $ _{i} $ , y $ _{i} $ , z $ _{i} $ ) for 1

Input Format

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Output Format

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