If a sorting algorithm's progress is measured by a monovariant that strictly decreases with each swap until the array is sorted, which property holds?

💡 Explanation

Because the monovariant strictly decreases and is bounded below (e.g., by 0), the algorithm must eventually terminate; otherwise, the monovariant would decrease infinitely. Therefore, the algorithm will terminate, rather than continue indefinitely, due to a guarantee of forward progress.

• If an automated spam filter flags an email as suspicious, which consequence related to conditional probability follows?
• A network of interconnected sensors monitors a chemical reaction; if a communications outage affects critical nodes, which outcome occurs?
• If a self-driving delivery robot's path-planning algorithm encounters a road closure causing all routes from its origin to a destination neighborhood to be temporarily severed, which consequence follows?
• A robotic pathfinding algorithm faces an obstacle course with limited memory. Which consequence follows from using a dynamic programming paradigm?
• If a cryptographic key's modulus (n) is factored into primes p and q, which vulnerability becomes prominent when p and q are close?
• A mechanical linkage transforms rotational motion to linear. If the linkage exhibits spatial reflection symmetry across its central axis, which consequence follows?