/Algorithms-python

This repository will contain solution for interview questions asked from the popular companies and some questions published in the internet as well. Used language is Python

Primary LanguagePython

Algorithms

This repository will contain solution for interview questions asked from the popular companies and some questions published in the internet as well.

staircaseproblem.py has the below problem.

There's a staircase with N steps, and you can climb 1 or 2 steps at a time. Given N, write a function that returns the number of unique ways you can climb the staircase. The order of the steps matters.

For example, if N is 4, then there are 5 unique ways:

     1, 1, 1, 1

     2, 1, 1
     
     1, 2, 1
     
     1, 1, 2
     
     2, 2

What if, instead of being able to climb 1 or 2 steps at a time, you could climb any number from a set of positive integers X? For example, if X = {1, 3, 5}, you could climb 1, 3, or 5 steps at a time. Generalize your function to take in X.


ListHasNumberPair.py

Given a list of numbers and a number k, return whether any two numbers from the list add up to k.

For example, given [10, 15, 3, 7] and k of 17, return true since 10 + 7 is 17.


newArrayWithProductOfOtherElements.py

Given an array of integers, return a new array such that each element at index i of the new array is the product of all the numbers in the original array except the one at i.

For example, if our input was [1, 2, 3, 4, 5], the expected output would be [120, 60, 40, 30, 24]. If our input was [3, 2, 1], the expected output would be [2, 3, 6].

Follow-up: what if you can't use division? see the methods calculateNewArray4 and calculateNewArray5


ConstructPairAndReturnFirstAndLast.py

cons(a, b) constructs a pair, and car(pair) and cdr(pair) returns the first and last element of that pair. For example, car(cons(3, 4)) returns 3, and cdr(cons(3, 4)) returns 4.

Given this implementation of cons:

     def cons(a, b):
           def pair(f):
              return f(a, b)
           return pair

Implement car and cdr.