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← Logic & PuzzlesIf a sorting algorithm's progress is measured by a monovariant that strictly decreases with each swap until the array is sorted, which property holds?
A)Runtime complexity is O(n^3)
B)The algorithm will always terminate✓
C)Memory usage is always minimal
D)Swaps are always adjacent elements
💡 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.
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