How can the Simplify debts algorithm be combined with a graph data structure to optimize multi-person debt settlements?

hard📝 Trade-off Q9 of Q15

LLD - Design — Splitwise (Expense Sharing)

How can the Simplify debts algorithm be combined with a graph data structure to optimize multi-person debt settlements?

AApply graph traversal to list all transactions without simplification

BUse a graph to store total expenses only, ignoring debts

CRepresent people as nodes and debts as edges to find cycles and reduce transactions

DUse graph coloring to assign debts randomly

Step-by-Step Solution

Solution:

Step 1: Understand graph representation
People are nodes, debts are edges showing who owes whom.
Step 2: Use cycle detection to simplify debts
Finding cycles helps cancel out debts, reducing transactions.
Final Answer:
Represent people as nodes and debts as edges to find cycles and reduce transactions -> Option C
Quick Check:
Graph cycles = Debt simplification [OK]

Quick Trick: Use graph cycles to cancel debts and minimize payments [OK]

Common Mistakes:

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