Show Prim with heap runs in O((E+V) log V)
Analyze the show prim with heap runs in o((e+v) log v).
Examples
Input: "test_input_1"
Output: "output_1"
Input: "test_input_2"
Output: "output_2"
Hints
Consider how Prim's algorithm can be optimized using a binary heap to achieve the desired time complexity.
Explore the relationship between the number of edges (e) and vertices (v) in the graph to understand the logarithmic factor in the complexity.
Investigate how the heap operations (insert, extract-min) can be leveraged to ensure the algorithm runs in o((e+v) log v) time by carefully managing the heap's size and operations.
Show Prim with heap runs in O((E+V) log V)
Analyze the show prim with heap runs in o((e+v) log v).