JP Morgan Archives - TutorialCup

Minimum sum of multiplications of n numbers

The problem “Minimum sum of multiplications of n numbers” states that you are given n integers and you need to minimize the sum of multiplication of all the numbers by taking two elements that are adjacent at a time and putting back their sum mod 100 until a single number …

Iterative Preorder Traversal

The problem “Iterative Preorder Traversal” states that you are given a binary tree and now you need to find the preorder traversal of the tree. We are required to find the preorder traversal using iterative method and not the recursive approach. Example 5 7 9 6 1 4 3 …

Print n terms of Newman-Conway Sequence

Problem Statement The problem “Print n terms of Newman-Conway Sequence” states that you are given an integer “n”. Find the first n terms of Newman-Conway Sequence then print them. Example n = 6 1 1 2 2 3 4 Explanation All the terms which are printed follow the Newman-Conway Sequence …

Longest Bitonic Subsequence

Suppose you have an array of integers, the problem statement asks to find out the longest bitonic subsequence. The bitonic sequence of an array is considered as the sequence which first increases and then decreases. Example arr[] = {1,4,2,76,43,78,54,32,1,56,23} 7 Explanation 1 ⇒ 4 ⇒ 76 ⇒ 78 ⇒ 54 …

Painting Fence Algorithm

Problem Statement The “Painting Fence Algorithm” states that you are given a fence having some posts (some wooden pieces or some other pieces) and some colors. Find out the number of ways to paint the fence such that at most only 2 adjacent fences have the same color. Since this …

Cutting a Rod

Problem Statement The problem “Cutting a Rod” states that you are given a rod of some particular length and prices for all sizes of rods which are smaller than or equal to the input length. That is we know the price for rods of length from 1 to n, considering …

Check if any two intervals overlap among a given set of intervals

Problem Statement The problem “Check if any two intervals overlap among a given set of intervals” states that you are given some set of intervals. Each interval consists of two values, one is starting time and the other is ending time. The problem statement asks to check if any of …

Friends Pairing Problem

Problem Statement The “Friends Pairing Problem” states that there are N friends. And each them can remain single or be paired up with each other. But once a pair is made, those two friends can not take part in pairing. So, you need to find the total number of ways …

Happy Number

Problem Statement What is a happy number? A number is a happy number if we can reduce a given number to 1 following this process: -> Find the sum of the square of the digits of the given number. Replace this sum with the old number. We will repeat this …

Best Time to Buy and Sell Stock

Problem Statement The problem “Best Time to Buy and Sell Stock” states that you are given an array of prices of length n, where the ith element stores the price of stock on ith day. If we can make only one transaction, that is, to buy on one day and …