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🪢 Rope Joining Ritual

Minimum Cost to Join Ropes (Min Heap)

Ropes Left

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Step

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Last Cost

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Total Cost

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🔗 Joining Progress
Select two shortest ropes to join...
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Total Cost
Generate ropes and minimize joining cost!

📖 Min Cost Rope Joining

Problem: Join n ropes; cost = sum of lengths being joined

Greedy: Always join two shortest ropes first

• Use min-heap to efficiently get smallest ropes

• Insert combined rope back into heap

Time: O(n log n)