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Assignment 2 Binary Search algorithm

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Programming assignment 2.

In this assignment, we will apply the idea of Binary Search algorithm to solve the below questions.
Note: The running time of your solutions should be O(logn).
Question 1. Implementing the square root function: Write a function that asks a user to enter an integer N
and returns ⌈√𝑁⌉.
(Note: You are NOT allowed to use the predefined sqrt function in the programming language you are
using)
Question 2. Ask the user to enter a random binary array having the first K numbers equal to 0 and the rest
equal to 1. Write a function to find the position of K that splits the 0s and 1s.
(Example: input: a = [ 0 0 0 1 1] ➔ output: K = 3)

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