Write an algorithm to calculate the total number of paths possible from point (0, 0) to point (m, n) in an m by n grid. (You cannot retrace a line you already made when forming a path.)
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Given an array of (unsorted) integers, arrange them such that a < b > c < d > e... etc.
three friends with different salaries need to find out their average salary without revealing individual salaries to each other. how?
A rabbit wants to climb some stairs and it can do steps of 1 or 2. How many possible paths are there to follow ( e.g 1-1-1... or 2-2-2 ... or 2-1-2-1... etc)
given the output from the first question write a algorithm to calculate how many possible inputs could have created that output. for example. "1211" could be interpreted as one two and one one || one hundred and twenty one ones.
Given a binary tree with the usual left and right pointers on each node, and additionally a parent pointer, make an algorithm to discover the closest ancestor to 2 nodes on the tree.
Implement a function to compute cubic root what is the time complexity?
You are given an integer N and an integer M. You are supposed to write a method void findBestCoinsThatMinimizeAverage(int N, int M) that prints the best collection of N coins that minimize the average number of minimum coins needed to generate values from 1 to M. So, if M = 100, and N = 4, then if we use the set {1, 5, 10, 25} to generate each value from 1 to 100, so that for each value the number of coins are minimized, i.e. 1 = 1 (1 coin), 2 = 1 + 1 (2 coins),..., 6 = 1 + 5 (2 coins), ..., 24 = 5 + 5 + 5 + 5 + 1 + 1 + 1 + 1 (8 coins), and we take the average of these coins, we would see that the average comes out to ~5.7. But if we instead use {1, 5, 18, 25}, the average would come out to be 3.7. We are to find that set of N coins, and print them, that produce the minimum average.
Interview question was given a grid of 9x9 sudoku with numbers filled in already, you have to check if it's a valid suoku.
Basically the interview questions were data structure. The first one was just a simple data structure question, but the second one was mathematical question. I hadn't expected that kind of questions would be asked, so I got really confused. The questions was to prove that Y is a multiple of six, where there are consecutive three numbers X, Y, Z and X and Z are a prime number. I was totally stuck at the point and couldn't make it.
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