Akshita loves chocolates, numbers and algorithms. Her friends Ina and Mina gave her a and b chocolates respectively. Given her love for numbers, she likes all the numbers that are divisible by either ‘a’ or ‘b’ or both. She wants to find the nth smallest such number that is divisible by either a or b. Suggest her an algorithm to find the desired number, describe the principle on which the algorithm is based, write the pseudocode and the recurrence relation for the same. Also state which subproblem will give the answer to the original problem.
Expected Complexity → O(log(N∗min(A,B))).
Assume a and b to be co-prime positive integers.
Rahul lives in City A and would like to travel to City B for work. There is a shuttle service for people in these cities which has a fixed schedule. The schedule for City A is a list of boarding times(at City A) and departure times(from City A) for each bus.
Note: No one is allowed to board a shuttle after the boarding time.
He arrives at time t and sometimes has to wait at the station. You are given a list of arrival times for n days.
Return an array of shuttle indexes that Rahul took for n days.
Harry loves numbers in the range [m1, m2] (m1 and m2 included). carry decides to gift harry an array of numbers for his birthday. harry wants to find the number of pairs of indices [l, r] for which the sum of all the elements in the range [l, r] lies between m1 and m2.