Live Quiz Arena
🎁 1 Free Round Daily
⚡ Enter ArenaQuestion
← Logic & PuzzlesIf Dijkstra's algorithm encounters a node with an estimate matching its true shortest distance, which consequence follows for the monovariant?
A)Monovariant remains strictly increasing
B)Monovariant remains strictly decreasing✓
C)Monovariant oscillates unpredictably
D)Monovariant temporarily becomes constant
💡 Explanation
The monovariant in Dijkstra's algorithm represents the upper bound on the shortest-path estimate of unvisited nodes; because settled nodes have true shortest paths, the monovariant will always strictly decrease as new nodes are settled, therefore, the monovariant remains strictly decreasing rather than any other option.
🏆 Up to £1,000 monthly prize pool
Ready for the live challenge? Join the next global round now.
*Terms apply. Skill-based competition.
Related Questions
Browse Logic & Puzzles →- Which mechanism allows context-free grammars to parse structured text formats with nested dependencies in compilers?
- Which property ensures a cryptographic hash function's output reveals minimal information about its input?
- If a finite state machine table lacks unreachable states, which consequence follows?
- If a digital circuit design system falsely validates an AND gate as equivalent to an OR gate, which logical property has been violated?
- A committee uses a ranked voting system; which effect becomes inevitable as the number of voters and alternatives increase, despite individual rational preferences?
- Within a rule-based expert system, which outcome is guaranteed when every rule used in a derivation is logically sound?
