SDE - 1

Given an array of numbers, find the maximum sum of any contiguous subarray of the array.

For example, given the array [34, -50, 42, 14, -5, 86], the maximum sum would be 137, since we would take elements 42, 14, -5, and 86.

Given the array [-5, -1, -8, -9], the maximum sum would be -1.

Follow up: Do this in O(N) time.

Ninja is stuck in a maze which is in a form of a binary tree. He needs your help in order to get out.

Ninja is presently at the node ‘X’. The only exit points of the maze are the leaf nodes of the tree. You need to tell him the distance to the nearest exit point from his current location. This will help him decide which path he should take in order to escape from the maze.

Example:

Suppose, Ninja is stuck at node 62. The possible exit points in the maze are: 40, 10, and 20. From all the possible exit points the closest ones are 10 and 20 which are at a distance of 1 unit.

You have been given a grid containing some oranges. Each cell of this grid has one of the three integers values:

Value 0 - representing an empty cell.

Value 1 - representing a fresh orange.

Value 2 - representing a rotten orange.

Every second, any fresh orange that is adjacent(4-directionally) to a rotten orange becomes rotten.

Your task is to find out the minimum time after which no cell has a fresh orange. If it's impossible to rot all the fresh oranges then print -1.

Note:

1. The grid has 0-based indexing.
2. A rotten orange can affect the adjacent oranges 4 directionally i.e. Up, Down, Left, Right.

You are given an array 'ARR' consisting of 'N' positive numbers and sorted in non-decreasing order, and your task is to find the smallest positive integer value that cannot be represented as a sum of elements of any proper subset of the given array.

An array 'B' is a subset of another array 'A' if each element of 'B' is present in 'A'.

For example:

For the given input array [1, 1, 3],
1 can be represented as the sum of elements of the subset [1],
2 can be represented as the sum of elements of a subset [1, 1],
3 can be represented as the sum of elements of a subset [3],
4 can be represented as the sum of elements of a subset [1, 3],
5 can be represented as the sum of elements of a subset [1, 1, 3]
So, the smallest positive integer value that cannot be represented as a sum of elements of any subset of a given array is 6.

Given a binary tree. Your task is to print the bottom right view of the binary tree.

Bottom right view, on viewing the given binary tree at the angle of 45 degrees from the bottom right side.

For Example

In the above binary tree, only node { 4, 5, 6 } is visible from the bottom right only node ‘1’ and node ‘3’ are hidden behind node ‘6’.
node ‘2’ is hidden behind node ‘5’.