#1672
Richest Customer Wealth
EasyArrayMatrixArrayMatrix
Approaches
Brute ForceOptimal
Complexity Comparison
| Brute Force | Optimal Solution★ | |
|---|---|---|
| Time | O(n²) | O(n) |
| Space | O(1) | O(1) |
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Intuition
Time O(n)Space O(1)
The optimal solution leverages the same summation logic but focuses on reducing unnecessary calculations. By maintaining a running maximum wealth during the summation process, we can achieve the result in a single pass through the data.
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Algorithm
5 steps- 1Step 1: Initialize a variable to keep track of the maximum wealth.
- 2Step 2: Iterate through each customer in the accounts array.
- 3Step 3: For each customer, sum their bank accounts and immediately compare to the current maximum wealth.
- 4Step 4: Update the maximum wealth if the current customer's wealth exceeds it.
- 5Step 5: Return the maximum wealth after checking all customers.
solution.py2 lines
1def maximumWealth(accounts):
2 return max(map(sum, accounts))ℹ
Complexity note: The time complexity is O(n) because we only iterate through the accounts once. The space complexity is O(1) since we only use a constant amount of space for the maximum wealth variable.
- 1Wealth is calculated by summing up bank accounts for each customer.
- 2The maximum wealth can be found by comparing sums efficiently.
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