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rb2140 ,presumption angstrom set of straight-line segments inch the aeroplane and II points [MATH] and [MATH] : [ ( I ) ] calculate the minimum figure of segments 1 needs to remove so that there is angstrom way connecting [MATH] to [MATH] that does not cross any of the remaining segments ; [ ( II ) ] cipher the minimum figure of segments single needs to take so that the agreement induced by the remaining segments has angstrom unit individual cell ; [ ( triplet ) ] work out the minimum number of segments 1 needs to retain so that any path connecting [MATH] to [MATH] intersects some of the retained segments . ,given a set of straight-line segments inch the plane and 2 points [MATH] and [MATH] inch different cells of the induced agreement : [ ( i ) ] cypher the minimum number of segments unity needs to take so that there is angstrom way of life connecting [MATH] to [MATH] that does non cross any of the remaining segments ; [ ( two ) ] cipher the minimal number of segments I needs to take so that the arrangement induced by the remaining segments has angstrom single cell ; [ ( deuce-ace ) ] compute the minimum number of segments 1 needs to retain so that any way of life connecting [MATH] to [MATH] intersects some of the retained segments . , rb2140