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← Logic & PuzzlesWithin a sorting algorithm proven correct by mathematical induction, which effect demonstrates the base case's successful establishment of the condition for a single element?
A)Algorithm complexity is O(n^2)
B)One element list is sorted✓
C)Algorithm uses divide and conquer
D)No swaps occur after iterations
💡 Explanation
The base case in mathematical induction ensures the statement holds for the smallest input. Because a list with one element is inherently sorted, establishing this as the base case satisfies the condition for the inductive step; therefore, the algorithm correctly handles the simplest input, rather than exhibiting specific complexity or utilizing particular strategies like divide and conquer.
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