The next smaller element is the element that is the first smaller element after it. Let's see an example.arr = [1, 2, 3, 5, 4]The next smaller element for 5 is 4 and the next smaller element for elements 1, 2, 3 is -1 as there is no smaller element after them.AlgorithmInitialise the array with random numbersInitialise a stack.Add first element to the stack.Iterate through the element of the array.If the stack is empty, add the current element to the stack.While the current element is smaller than the top element of the stack.Print the top element with the next smaller ... Read More

The n-ary tree is the tree with n children for each node. We are given a number n and we have to find the next larger element from the n-ary tree.We can find the solution by traversing through the n-ary tree and maintaining the result.AlgorithmCreate n-ary tree.Initialise a result.Write a function to get next larger element.Return if the current node is null.Check the current node data is greater than the expected element or not.If yes, then check whether the result is empty or the result is greater than the current node data.If the above condition satisfies, then update the result.Get ... Read More

We are given a number n, we have to find the number that is greater than n with same number of set bits as n in its binary representation.The digit 1 in the binary representation is called set bit.Let's see an example.Input124Output143AlgorithmInitialise the number n.Write a function get the count of number of set bits.Initialise the iterative variable with n + 1.Write an infinite loop.Check for the number of set bits for numbers equal to the number of set bits of n.Return the number when you find it.Increment the number.ImplementationFollowing is the implementation of the above algorithm in C++#include ... Read More

Given a number n, swap any two digits of the number so that the resulting number is greater than the number n. If it's not possible then print -1. Let's see an example.Input12345Output12354We have swapped the digits 4 and 5. And we got the higher number with one swap.AlgorithmIt's not possible to form the number if the digits of the number are in decreasing order.Find the index of the digit from the right of the number which is less than the last digit.Find the index of the digit which is greater than the previous digit and less than all digits.Swap ... Read More

Given N, A, and B. Find the number which is greater than N with the same number of A and B digits. Let's see an example.N = 1234 A = 2 B = 3We need to check for every possibility of the given number of digits. There are two digits to form the number. And each digit count in the number should be the same.AlgorithmInitialise A, B, and N.Write a recursive function.Check whether the current number is greater than N and has equal number of A and B digits.Return the number if the above condition satisfies.Add the digit A to the result.Add the digit B ... Read More

We are given a number n, we have to find the number that is greater than n with one more set bit than n in its binary representation.The digit 1 in the binary representation is called set bit.Let's see an example.Input124Output125AlgorithmInitialise the number n.Write a function get the count of number of set bits.Initialise the iterative variable with n + 1.Write an infinite loop.Check for the number of set bits for numbers greater than n.Return the number when you find it.ImplementationFollowing is the implementation of the above algorithm in C++#include using namespace std; int getSetBitsCount(int n) {    int count ... Read More

The next greater element is the element that is first greater element after it. Let's see an example.arr = [4, 5, 3, 2, 1]The next greater element for 4 is 5 and the next greater element for elements 3, 2, 1 is -1 as there is no greater element after them.AlgorithmInitialise the array with random numbers.Initialise a stack.Add first element to the stack.Iterate through the element of the array.If the stack is empty, add the current element to the stack.While the current element is greater than the top element of the stack.Print the top element with the next greater element ... Read More

The next greater element is the element that is first greater element after it. Let's see an example.arr = [4, 5, 3, 2, 1]The next greater element for 4 is 5 and the next greater element for elements 3, 2, 1 is -1 as there is no greater element after them.AlgorithmInitialise the array with random numbers.Initialise a stack and an array.Iterate from the end of the array.Remove the elements from the stack until it empty and the top element is less than or equal to the current element.If the stack is empty, then there is no next greater element. So ... Read More

The newman-shanks-williams prime sequence is as follows1, 1, 3, 7, 17, 41...If we generalise the sequence items, we geta0=1 a1=1 an=2*a(n-1)+a(n-2)AlgorithmInitialise the number n.Initialise the first numbers of the sequence 1 and 1.Write a loop that iterates till n.Compute the next number using the previous numbers.Update the previous two numbers.Return the last number.ImplementationFollowing is the implementation of the above algorithm in C++#include using namespace std; int getNthTerm(int n) {    if(n == 0 || n == 1) {       return 1;    }    int a = 1, b = 1;    for(int i = 3; i

The nesbitt's inequality is (a/(b + c)) + (b/(c + a)) + (c/(a + b))>= 1.5, a > 0, b > 0, c > 0Given three number, we need to check whether the three numbers satisfy Nesbitt's inequality or not.We can test whether three number are satisfied nesbitt's inequality or not. It's a straightforward program.AlgorithmInitialise three numbers a, b, and c.Compute the values of each part from the equation.Add them all.If the total sum is greater than or equal to 1.5 then it satisfies the Nesbitt's inequality else it is not satisfied.ImplementationFollowing is the implementation of the above algorithm in ... Read More