Cracking the Coding Interview, 4 Edition - 150 Programming Interview Questions and Solutions

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Solutions to Chapter 20 | Hard 20.1 Write a function that adds two numbers. You should not use + or any arithmetic operators. SOLUTION pg 91 To investigate this problem, let’s start off by gaining a deeper understanding of how we add numbers. We’ll work in Base 10 so that it’s easier to see. To add 759 + 674, I would usually add digit[0] from each number, carry the one, add digit[1] from each number, carry the one, etc. You could take the same approach in binary: add each digit, and carry the one as necessary. Can we make this a little easier? Yes! Imagine I decided to split apart the “addition” and “carry” steps. That is, I do the following: 1. Add 759 + 674, but “forget” to carry. I then get 323. 2. Add 759 + 674 but only do the carrying, rather than the addition of each digit. I then get 1110. 3. Add the result of the first two operations (recursively, using the same process described in step 1 and 2): 1110 + 323 = 1433. Now, how would we do this in binary? 1. If I add two binary numbers together but forget to carry, bit[i] will be 0 if bit[i] in a and b are both 0 or both 1. This is an XOR. 2. If I add two numbers together but only carry, I will have a 1 in bit[i] if bit[i-1] in a and b are both 1’s. This is an AND, shifted. 3. Now, recurse until there’s nothing to carry. 1 int add_no_arithm(int a, int b) { 2 if (b == 0) return a; 3 int sum = a ^ b; // add without carrying 4 int carry = (a & b)
Solutions to Chapter 20 | Hard 2. Our next thought in problems like these should be to really, really understand how you add. Walk through an addition problem to see if you can understand something new—some pattern—and then see if you can replicate that with code. Your interviewer is looking for two things in this problem: 1. Can you break down a problem and solve it? 2. Do you understand how to work with bits? CareerCup.com 2 8 0
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CRACKING THE FOURTH EDITION C O D I
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Table of Contents Chapter 7 | Objec
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Introduction Something’s Wrong We
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Behind the Scenes For many candidat
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Behind the Scenes | The Amazon Inte
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Behind the Scenes | The Apple Inter
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Interview War Stories The View from
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Interview War Stories | Pop Divas P
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Interview War Stories | You Can (Ma
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Interview War Stories | Spider Sens
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Before the Interview | Resume Advic
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Before the Interview | Behavioral P
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Before the Interview | Technical Pr
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The Interview and Beyond
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At the Interview | Handling Behavio
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At the Interview | Handling Technic
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At the Interview | Five Algorithm A
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At the Interview | Five Algorithm A
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At the Interview | The Offer and Be
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At the Interview | Top Ten Mistakes
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At the Interview | Frequently Asked
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Interview Questions
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Chapter 1 | Arrays and Strings Hash
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Chapter 2 | Linked Lists How to App
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Chapter 3 | Stacks and Queues How t
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Chapter 4 | Trees and Graphs How to
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Part 2 Concepts and Algorithms
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Chapter 5 | Bit Manipulation 5.1 Yo
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Chapter 6 | Brain Teasers 6.1 Add a
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Chapter 7 | Object Oriented Design
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Chapter 8 | Recursion 8.1 Write a m
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Chapter 9 | Sorting and Searching 9
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Chapter 10 | Mathematical 10.1 You
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Chapter 11 | Testing 11.1 Find the
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Chapter 12 | System Design and Memo
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Chapter 13 | C++ How To Approach: A
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Chapter 14 | Java How to Approach:
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Chapter 15 | Databases How to Appro
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Chapter 16 | Low Level How to Appro
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Chapter 17 | Networking How to Appr
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Chapter 18 | Threads and Locks How
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Part 4 Additional Review Problems
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Chapter 19 | Moderate _____________
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Chapter 20 | Hard Input: DAMP, LIKE
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Solutions
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Solutions to Chapter 1 | Arrays and
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Solutions to Chapter 2 | Linked Lis
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Solutions to Chapter 3 | Stacks and
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Solutions to Chapter 4 | Trees and
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Solutions to Chapter 5 | Bit Manipu
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Solutions to Chapter 12 | Testing 1
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Solutions to Chapter 13 | C++ 13.2
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Solutions to Chapter 13 | C++ Then
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Solutions to Chapter 14 | Java 14.2
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Page 291 and 292: Index A arithmetic 108, 131, 143, 1
Page 293: Mock Interviews Mock Interviews Stu
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