
Problem Statement
In this task, you are provided with a grid known as accounts
, where each cell in the grid signifies the amount of money a particular customer holds in a specific bank. Here, accounts[i][j]
represents the money that the i-th
customer has in the j-th
bank. The main objective is to find out the maximum wealth a customer possesses. The wealth of each customer is the sum of all the money they have across different bank accounts. You need to calculate the total wealth for each customer and determine which customer has the highest wealth from the given list.
Examples
Example 1
Input:
accounts = [[1,2,3],[3,2,1]]
Output:
6
Explanation:
1st customer has wealth = 1 + 2 + 3 = 6 2nd customer has wealth = 3 + 2 + 1 = 6 Both customers are considered the richest with a wealth of 6 each, so return 6.
Example 2
Input:
accounts = [[1,5],[7,3],[3,5]]
Output:
10
Explanation:
1st customer has wealth = 6 2nd customer has wealth = 10 3rd customer has wealth = 8 The 2nd customer is the richest with a wealth of 10.
Example 3
Input:
accounts = [[2,8,7],[7,1,3],[1,9,5]]
Output:
17
Constraints
m == accounts.length
n == accounts[i].length
1 <= m, n <= 50
1 <= accounts[i][j] <= 100
Approach and Intuition
To solve this problem, you will need to:
Initialize a variable to store the maximum wealth found. You can start this variable at 0 or any negative value since all wealth values will be non-negative.
Iterate over each customer's banking information. For each customer (i.e., for each sublist in
accounts
):- Compute the sum of the amounts in all bank accounts for that customer.
- Compare this sum to the current recorded maximum wealth. If this sum is greater than the current maximum, update the maximum wealth.
At the end of iteration, the maximum wealth recorded will be the wealth of the richest customer.
This approach is straightforward because the size of the grid will always be manageable (1 ≤ m, n ≤ 50 and 1 ≤ accounts[i][j] ≤ 100). Each customer's wealth is calculated by taking a simple sum of their respective bank account values, and the overall time complexity involves iterating over all entries in the matrix, making the complexity O(m * n), where m
is the number of customers and n
is the number of banks.
Solutions
- C++
class Solution {
public:
int richestCustomerWealth(vector<vector<int>>& customerAccounts) {
int wealthiest = 0;
for (auto& account : customerAccounts) {
int totalWealth = 0;
for (int balance : account) {
totalWealth += balance;
}
wealthiest = max(wealthiest, totalWealth);
}
return wealthiest;
}
};
The provided C++ solution aims to identify the maximum wealth owned by a customer from a list of customer account balances, where each customer's wealth is the sum of all the balances in their account. Using the standard vector
container from the C++ Standard Library, the solution processes a 2D vector where each sub-vector represents the balance accounts of an individual customer.
Here's an overview of how the solution works:
- The function
richestCustomerWealth
takes a 2D vectorcustomerAccounts
as its parameter, which holds the information of multiple customers' account balances. - The variable
wealthiest
is initialized to zero, serving as a tracker for the highest wealth found. - A nested loop structure is used to iterate through
customerAccounts
:- The outer loop traverses each customer's list of account balances.
- The inner loop sums up all the integers in the current customer's account list to compute their total wealth.
- The
wealthiest
variable is updated using themax
function to ensure it holds the highest wealth observed at any point in the iterations.
- After processing all customer data, the function returns the
wealthiest
variable, which contains the maximum wealth among all customers.
This approach efficiently computes the richest customer's wealth by summing up individual account balances and continuously checking if the current total exceeds the recorded maximum. The utilization of the max
function ensures optimal comparison and updating of the wealthiest account during each iteration.
- Java
class Solution {
public int findGreatestWealth(int[][] accounts) {
int greatestWealth = 0;
for (int[] customer : accounts) {
int totalWealth = 0;
for (int bank : customer) {
totalWealth += bank;
}
greatestWealth = Math.max(greatestWealth, totalWealth);
}
return greatestWealth;
}
}
The problem "Richest Customer Wealth" involves calculating the maximum wealth a customer can have. Wealth is defined as the sum of money in all bank accounts a customer has. The provided Java solution to this problem uses a nested loop structure to achieve this calculation.
Here's an overview of how the Java code solves the problem:
- Initialize
greatestWealth
to zero to keep track of the highest wealth found. - Iterate through each customer's array of accounts. For each customer:
- Initialize
totalWealth
to zero for summing the individual account balances. - Iterate through the accounts and add each balance to
totalWealth
for the current customer. - After processing all accounts for a customer, compare
totalWealth
withgreatestWealth
. IftotalWealth
is greater, updategreatestWealth
.
- Initialize
- The value of
greatestWealth
after examining all customers is the desired maximum wealth.
The usage of Math.max
ensures that the greatest wealth is always tracked accurately, and the inner loop sums up each customer’s wealth efficiently, making the code straightforward to follow. This solution effectively handles the given data structure int[][] accounts
, where each row represents a different customer and each column represents different bank accounts. The final result is the maximum wealth found among all customers.
- Python
class Solution:
def findMaxWealth(self, accounts: List[List[int]]) -> int:
highest_wealth = 0
for customer_accounts in accounts:
wealth = sum(customer_accounts)
highest_wealth = max(highest_wealth, wealth)
return highest_wealth
The provided Python 3 solution efficiently calculates the richest customer wealth from a list of lists representing each customer's account balances. Each inner list contains integers indicating the amount of money in each account. The function findMaxWealth
initializes a variable highest_wealth
to zero and iterates over each customer's accounts. During each iteration, it calculates the sum of the current customer's accounts and updates highest_wealth
if this sum is greater than the current highest_wealth
. The final value after completing the iterations over all accounts is the maximum wealth found among all customers. This approach ensures a direct and efficient computation of the problem, leveraging basic Python list operations and functions like sum()
and max()
.
No comments yet.