Question: Assume that there is an implementation of the Priority Queue data structure such that, starting from the empty queue, any sequence of operations which includes

Assume that there is an implementation of the Priority Queue data structure such that, starting from the empty queue, any sequence of operations which includes P INSERT operations (one INSERT operation adds a new element to the queue), r DECREASE-KEY operations and q EXTRACT-MIN operations (applied in any order) takes time (p+r+qloga). Which of the following bounds describes most accurately the running time of Dijkstra's shortest-paths algorithm with this implementation of the Priority Queue for graphs with all vertices reachable from the source vertex? Heren is the number of vertices and m is the number of edges in the input graph. O 0(m log n) O 0(m + n log n) O O(n + m log n) O 0(mn)
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