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Leetcode Problem 465. Optimal Account Balancing

465. Optimal Account Balancing

Leetcode Solutions

Backtracking Approach to Minimize Transactions

  1. Create a hash map to store the net balance of each person after all transactions.
  2. Collect all non-zero net balances in an array balance_list.
  3. Define a recursive function dfs(cur) to clear all balances from index cur onwards in balance_list.
  4. If balance_list[cur] is 0, increment cur and call dfs(cur + 1).
  5. If cur equals the length of balance_list, return 0.
  6. Otherwise, iterate over each index nxt from cur + 1 and if balance_list[nxt] has an opposite sign to balance_list[cur], attempt to transfer the debt.
  7. Add balance_list[cur] to balance_list[nxt], call dfs(cur + 1) and then backtrack by subtracting the transferred amount.
  8. Keep track of the minimum number of transactions during the iteration.
  9. Return the result of dfs(0) as the final answer.
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Dynamic Programming Approach to Minimize Transactions

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