Mathematics

There are  groups of friends, and each group is numbered from 1 to . The th group contains  people. They live near a bus stop, and only a single bus operates on this route. An empty bus arrives at the bus stop and all the groups want to travel by the

Jim enters a candy shop which has N different types of candies, each candy is of the same price. Jim has enough money to buy K candies. In how many different ways can he purchase K candies if there are infinite candies of each kind? Input Format The first line

On the eve of Diwali, Hari is decorating his house with a serial light bulb set. The serial light bulb set has N bulbs placed sequentially on a string which is programmed to change patterns every second. If at least one bulb in the set is on at any given

You are given an integer, . Write a program to determine if  is an element of the Fibonacci sequence. The first few elements of the Fibonacci sequence are . A Fibonacci sequence is one where every element is a sum of the previous two elements in the sequence. The first two elements

You are given an integer N. Can you find the least positive integer X made up of only 9's and 0's, such that, X is a multiple of N? Update X is made up of one or more occurences of 9 and zero or more occurences

Kristen loves playing with and comparing numbers. She thinks that if she takes two different positive numbers, the one whose digits sum to a larger number is better than the other. If the sum of digits is equal for both numbers, then she thinks the smaller number is better. For

Akash and Akhil are playing a game. They have  balls numbered from  to . Akhil asks Akash to reverse the position of the balls, i.e., to change the order from say, 0,1,2,3 to 3,2,1,0. He further asks Akash to reverse the position of the

You are given an integer, . Your task is to print an alphabet rangoli of size . (Rangoli is a form of Indian folk art based on creation of patterns.) Different sizes of alphabet rangoli are shown below: #size 3 ----c---- --c-b-c-- c-b-a-b-c --c-b-c-- ----c---- #size 5 --------e-------- ------e-d-e------ ----e-d-c-d-e---- --e-d-c-b-c-d-e-- e-d-c-b-a-b-c-d-e

Given an integer, , print the following values for each integer  from  to : 1. Decimal 2. Octal 3. Hexadecimal (capitalized) 4. Binary The four values must be printed on a single line in the order specified above for each  from  to . Each value should be space-padded to match the width of

Animesh has N empty candy jars, numbered from 1 to N, with infinite capacity. He performs M operations. Each operation is described by 3 integers, a, b, and k. Here, a and b are indices of the jars, and k is the number of candies to be added inside each