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2412. Minimum Money Required Before Transactions

You are given a 0-indexed 2D integer array transactions, where transactions[i] = [costi, cashbacki].

The array describes transactions, where each transaction must be completed exactly once in some order. At any given moment, you have a certain amount of money. In order to complete transaction i, money >= costi must hold true. After performing a transaction, money becomes money - costi + cashbacki.

Return the minimum amount of money required before any transaction so that all of the transactions can be completed regardless of the order of the transactions.

Example 1:

Input: transactions = [[2,1],[5,0],[4,2]]
Output: 10
Explanation:
Starting with money = 10, the transactions can be performed in any order.
It can be shown that starting with money < 10 will fail to complete all transactions in some order.

Example 2:

Input: transactions = [[3,0],[0,3]]
Output: 3
Explanation:
- If transactions are in the order [[3,0],[0,3]], the minimum money required to complete the transactions is 3.
- If transactions are in the order [[0,3],[3,0]], the minimum money required to complete the transactions is 0.
Thus, starting with money = 3, the transactions can be performed in any order.

Constraints:

  • 1 <= transactions.length <= 105
  • transactions[i].length == 2
  • 0 <= costi, cashbacki <= 109

Solutions (Rust)

1. Solution

impl Solution {
    pub fn minimum_money(transactions: Vec<Vec<i32>>) -> i64 {
        let mut loss = 0;
        let mut max_cost = 0;

        for t in &transactions {
            loss += (t[0] - t[1]).max(0) as i64;
            max_cost = max_cost.max(t[0] - (t[0] - t[1]).max(0));
        }

        max_cost as i64 + loss
    }
}