Solution: Connecting 'n' Pipes with Minimum Cost
Explore two greedy algorithm solutions to connect 'n' pipes with minimum total cost. Understand how sorting and MinHeap data structures optimize the process and analyze time complexities for each method.
We'll cover the following...
We'll cover the following...
Solution #1: Sorting
Explanation
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Start by sorting the
pipesarray, shown in line 9. -
Next, find the
costof connecting two adjacent pipes by summing the cost at the current index and the next index of thepipesarray (line 10). -
Insert this cost into the array (line 11).
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Next, update the cost by adding it to the previously calculated cost; this is to find the total cost (line 12).
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Return the total cost at the end (line 14).
Time complexity
The time complexity for this solution is ...