During a computational geometry problem of finding intersecting line segments within a map, which outcome occurs when the sweep line encounters a new event point?

💡 Explanation

When the sweep line in a line intersection algorithm encounters a new event point, the sweep line algorithm checks for potential intersections between the newly active segments, because the sweep line mechanism maintains an ordered representation of the segments intersecting the line; therefore, segments close to each other in the ordering are checked, rather than checking all pairs.

• What happens to a database query result when the set theory principle of 'union' combines two tables with completely disjoint sets of primary keys?
• What happens to the computation of unique paths in a grid when a single cell is doubly counted?
• In a rule-based expert system, which consequence follows if a knowledge base contains both '∀x: P(x) → Q(x)' and 'P(a)'?
• If a data custodian desires to prove data possession without revealing the dataset, which cryptographic mechanism facilitates this?
• In formal language theory, what distinguishes a context-free grammar from a context-sensitive grammar?
• A system generates cryptographic keys using prime numbers. If the prime number generator malfunctions, consistently producing only numbers divisible by 3, which security outcome becomes most likely?