Given an array of n integers, where each integer represents the height of a bar in a bar graph, write a function that returns the maximum area that can be formed by choosing two bars from the array and stacking them on top of each other.
About this solution: The candidate's solution is correct and solves the problem. The approach is to keep track of the maximum area while iterating through the array from both sides.
This problem asks us to return all possible subsets of a given set of distinct integers. For example, if the input is [1,2,3], then the output should be all possible subsets of those integers: , [1,2], [1,2,3], [1,3], , [2,3], and .
About this solution: The candidate's solution is complete and solves the problem. The approach is to generate all subsets by iterating through the input array and adding each element to all existing subsets.
This problem asks us to develop an algorithm that can determine whether or not a given string has all unique characters. For example, the input string "abcdefg" would return True, while the input string "aabbcc" would return False.
About this solution: The candidate's solution is correct and uses an efficient approach. The time complexity of the solution is O(n) and the space complexity is O(n).
Given a binary tree, this problem requires finding the maximum sum path from the root to a leaf. For example, in the tree shown above, the maximum sum path would be 3 + 5 + 10 + 2 + 11 = 31. This can be done using recursion.
About this solution: The candidate's solution correctly solves the problem. The approach is to recursively find the maximum sum path from each node to its leaves, and then compare the paths to find the overall maximum sum path.
To find the deepest node in a binary tree, we can use recursion. We can keep track of the maximum depth as we traverse the tree, and return the deepest node's value when we reach the end of the tree.
About this solution: This is a good solution that correctly finds the deepest node in a binary tree. The approach of using a depth first search is a good one, as it only needs to traverse the tree once. The code is well-written and easy to follow.