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Match each algorithm below with the tightest asymptotic upper bound for its worst-case running time by inserting one of the letters A, B, ..., I
Match each algorithm below with the tightest asymptotic upper bound for its worst-case running time by inserting one of the letters A, B, ..., I into the corresponding box. For sorting algorithms, n is the number of input elements. For matrix algorithms, the input matrix has size n times n. For graph algorithms, the number of vertices is n, and the number of edges is theta(n). You need not justify your answers. Some running times may be used multiple times or not at all. Because points will be deducted for wrong answers, do not guess unless you are reasonably sure. Insertion sort A: O(lg n) Heapsort B: O(n) BUILD-HEAP C:O(n lg n) Strassen's D: O(n^2) Bellman-Ford E: O(n^2lg n) Depth-first search F: O(n^25) Floyd-Warshall G:O(n^lg7) Johnson's H: O(n^3) Prim's I: O(n^3 lg n) Answer Forma: [A] Insertion Sort(just the Capital Letter, no square brackets) Insertion Sort Heapsort BUILD-HEAP Strassen's Bellman-Ford Depth-first search Floyd-Warshall Johnson's Prim's
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