Question 1 Sum of elements
Statement Given an array of integers called prices, return the sum of all elements in the array
Example Input [1, 2, 3] Output 6
Approach Initialize a variable sum to 0. Loop through each element of the array and add the current value to sum. Finally, return sum.
Example implementation in JavaScript var SumOfDigits = function(prices) { let sum = 0; for (let i = 0; i < prices.length; i++) { sum += prices[i]; } return sum; }; console.log(SumOfDigits([1,2,3])); // Output 6
Edge cases empty array [] returns 0; array with one element [10] returns 10; array with negative numbers [-1, -2, 3] the total sum would be 0 in this example if that result is expected according to the problem rules
Complexity Time O(n) where n is the length of the array. Space O(1) use of one additional constant variable.
Question 2 Maximum profit with a single buy and sell
Statement Given an array prices, find the maximum possible profit by making a single buy and a single sell with the condition of buying before selling
Example Input [7, 1, 5, 3, 6, 4] Output 5
Approach Keep the minimum price seen so far and the maximum profit so far. For each price, calculate the current profit prices[i] minus min_Price, update max_Profit if it is greater, and update min_Price if the current price is lower. Finally, return max_Profit.
Example implementation in JavaScript var maxProfit = function(prices) { if (prices.length === 0) return 0; let min_Price = prices[0]; let max_Profit = 0; for (let i = 1; i < prices.length; i++) { if (prices[i] - min_Price > max_Profit) { max_Profit = prices[i] - min_Price; } if (prices[i] < min_Price) { min_Price = prices[i]; } } return max_Profit; }; console.log(maxProfit([7,1,5,3,6,4])); // Output 5
Complexity Time O(n) we traverse the array once. Space O(1) only auxiliary variables min_Price and max_Profit.
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Day 29 Of Dsa Problem Solving This article is part of the Day 29 Of Dsa Problem Solving series, practice focused on solving classic algorithm and data structure problems by applying solutions that can be integrated into real Q2BSTUDIO projects
