Software Developer

Given an array of distinct integers, find all the pairs having positive value and negative value of a number that exists in the array. Return the pairs in any order.

Note:

The pair consists of equal absolute values, one being positive and another negative.

Return an empty array, if no such pair exists.

You are given an arbitrary unweighted rooted tree which consists of N nodes, 0 to N - 1. Your task is to find the largest distance between two nodes in the tree.

The distance between two nodes is the number of edges in a path between the nodes (there will always be a unique path between any pair of nodes since it is a tree).

Note :

Use zero-based indexing for the nodes.

The tree is always rooted at 0.

You are given a positive integer ‘n’.

Your task is to find and return its square root. If ‘n’ is not a perfect square, then return the floor value of sqrt(n).

Example:

Input: ‘n’ = 7

Output: 2

Explanation:
The square root of the number 7 lies between 2 and 3, so the floor value is 2.

You are given an integer 'N'. For a given 'N' x 'N' chessboard, find a way to place 'N' queens such that no queen can attack any other queen on the chessboard.

A queen can be killed when it lies in the same row, or same column, or the same diagonal of any of the other queens. You have to print all such configurations.

You are given 'N' stones labeled from 1 to 'N'. The 'i-th' stone has the weight W[i]. There are 'M' colors labeled by integers from 1 to 'M'. The 'i-th' stone has the color C[i] which is an integer between 1 to 'M', both inclusive.

You have been required to fill a Knapsack with these stones. The Knapsack can hold a total weight of 'X'.

You are required to select exactly 'M' stones; one of each color. The sum of the weights of the stones must not exceed 'X'. Since you paid a premium for a Knapsack with capacity 'X', you are required to fill the Knapsack as much as possible.

Write a program to calculate the best way to fill the Knapsack - that is, the unused capacity should be minimized.

For a given array with N elements, you need to find the length of the longest subsequence from the array such that all the elements of the subsequence are sorted in strictly increasing order.

Strictly Increasing Sequence is when each term in the sequence is larger than the preceding term.

For example:

[1, 2, 3, 4] is a strictly increasing array, while [2, 1, 4, 3] is not.