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The multi-receiver part is what got me initially.
First, compute each user's net balance by summing credits and debits from all transactions, then separate users into debtors and creditors. Use a greedy two-pointer strategy to match the largest debtor with the largest creditor, settling the smaller amount and repeating until all balances are zero. This approach is simple, correct, and runs in O(n log n) time due to sorting.
Pro tip: Mention that while the problem doesn't require minimizing paybacks, you can note that the greedy approach often produces a near-optimal number of transactions, and discuss the trade-off between simplicity and optimality. Also, clarify that the order of paybacks doesn't matter as long as net balances are zero.
Iterate through all transactions, and for each, subtract the total amount from the sender and add an equal share to each receiver. Accumulate these into a map of user to net balance.
Create two lists: one for users with negative net balance (debtors) and one for users with positive net balance (creditors). Ignore users with zero balance.
Sort both lists by absolute balance (or use a max-heap). Repeatedly take the largest debtor and largest creditor, and settle the smaller of the two amounts, updating their balances and recording a payback.
Continue the matching process until all balances are zero. Return the list of paybacks (from debtor to creditor with the settled amount).
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.