Google Pro Tip: Use Back-of-the-envelope-calculations to Choose the Best Design - High Scalability -

  http://highscalability.com/blog/2011/1/26/google-pro-tip-use-back-of-the-envelope-calculations-to-choo.html

Building software systems at Google

  http://static.googleusercontent.com/external_content/untrusted_dlcp/research.google.com/en/us/people/jeff/Stanford-DL-Nov-2010.pdf

Putting Google's Network to work for You

  https://www.youtube.com/watch?v=DWpBNm6lBU4

Building Software Systems At Google and Lessons Learned

  https://www.youtube.com/watch?v=modXC5IWTJI&feature=player_embedded

Get that job at Google

  http://steve-yegge.blogspot.hk/2008/03/get-that-job-at-google.html

The Google technical interview How to get your dream job

  http://xrds.acm.org/article.cfm?aid=2539270

Interviewing @ Google

  http://www.catehuston.com/blog/2010/07/13/interviewing-google/

How to get a job at Google, interview questions, hiring process

  http://dondodge.typepad.com/the_next_big_thing/2010/09/how-to-get-a-job-at-google-interview-questions-hiring-process.html

An Inside Look at Google - Working at Google

  https://www.youtube.com/watch?v=aOZhbOhEunY

How to Work at Google -Candidate Coaching Session: Tech Interviewing

  https://www.youtube.com/watch?v=oWbUtlUhwa8&feature=youtu.be

Inside Google Australia

  https://www.youtube.com/watch?v=Y1xF3BDBHSY

Interviewing at Google

  https://www.youtube.com/watch?v=w887NIa_V9w

University Consortium | Google Developers

  https://developers.google.com/university/

Introduction to Algorithms | Electrical Engineering and Computer Science | MIT OpenCourseWare

  http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-006-introduction-to-algorithms-spring-2008/

Distributed Algorithms | Electrical Engineering and Computer Science | MIT OpenCourseWare

  http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-852j-distributed-algorithms-fall-2009/

Advanced Algorithms | Electrical Engineering and Computer Science | MIT OpenCourseWare

  http://ocw.mit.edu/courses/electrical-engineering-and-computer-science/6-854j-advanced-algorithms-fall-2008/

How we hire - Google Careers

  https://www.google.com/about/careers/how-we-hire/

GitHub - google/styleguide: Style guides for Google-originated open-source projects

  https://github.com/google/styleguide

Bring questions. Build answers. - Google Careers

  https://www.google.com/about/careers/

Preparing for your Google Interview

  https://sites.google.com/site/coachingsessions1/home

The Architecture of Open Source Applications (Volume 2): Scalable Web Architecture and Distributed Systems

  http://www.aosabook.org/en/distsys.html

The Google app – Voice Search, Answers and Assistance

  https://www.google.com/search/about/

Distributed Systems and Parallel Computing - Research at Google

  http://research.google.com/pubs/DistributedSystemsandParallelComputing.html

Topcoder is repeatable, on-demand crowdsourcing, done right, at scale.

  https://www.topcoder.com/

Classic problems

Towers of Hanoi

There's a temple in the middle of Hanoi. In that temple, there are three very large diamondencrusted posts, and on those posts are sixtyfour disks, all of a different size. There are a set of priests in that temple, and their task is to move the entire stack of sixtyfour disks from one post to a second post. The rules, though, are, they can only move one disk at a time, and they can never cover up a smaller disk with a larger disk. Write a recursive program to solve this problem. What is the complexity?

Searching and sorting algorithms

Write code to search a sorted list.
Write a binary search algorithm.
Write a selection sort algorithm.
Write code to create a hash table of size 256

Shortest path problem

Write an algorithm to plan a route by minimising distance or time (eg Google Maps)

Traveling salesman

Write an algorithm to determine the least cost roundtrip, given multiple cities and varying costs of flights

Knapsack problem

Write an algorithm to optimize the value of items you can fit into a backpack based on weight and volume

Sorting algorithms - know how they work, average/worst case running times, stack space
● Insertion sort
● Quicksort
● Mergesort
● Heapsort

Searching algorithms
● Sequential search
● Binary search
● Hashing
● Binary search trees
● Key indexing

Other algorithms
● Priority queues
● Selection

Back of the envelope calculations
● Know your powers of 2 (binary)
● Be able to express mega/giga/etc in binary and/or scientific notation
● Know cycle times and disk seek times for CPUs
● Explain and justify your assumptions
● Don’t be afraid of dealing with huge numbers!

Sample questions from Programming Pearls

1. Given a file containing at most ten million 7digit integers with no duplicates. What is an efficient way to print these numbers in ascending order using just 1.5Mb RAM and reading the data just once? What are the consequences of only having 1Mb of RAM and no other storage? How would your answer change if duplicates were permitted?

2. Given a sequential file that contains at most four billion 32bit integers in random order, find a 32bit integer that isn’t in the file (and there must be at least one missing...why?). How would you solve this with unlimited main memory? How would you solve it if you could use several external files but only a few bytes of main memory?

3. Rotate a onedimensional vector of n elements left by i positions. For instance, with n=8 and i=3, the vector abcdefg is rotated to defghabc. Simple code uses an nelement intermediate vector to do the job in n steps. Can you rotate the vector in time proportional to n using only a few dozen extra bytes of storage?

4. Given a dictionary of English words, find sets of anagrams. For instance, “pots”, “stop”, and “tops” are all anagrams of one another because each can be found by permuting the letters of the others.

5. Write functions for the following date problems: given two dates, compute the number of days between them? given a date, return it’s day of the week? given a month and year, produce a calendar of the month as an array of characters

6. Given a very long sequence (say, billions or trillions) of bytes, how would you efficiently count the total number of one bits? (i.e. how many bits are turned on in the entire sequence)

7. Although Quicksort uses only O(logn) stack space on the average, it can use linear space in the worst case. Explain why, then modify the program to use only logarithmic space in the worst case.

8. Write a program for finding the kthsmallest element in the array x[0...n1] in O(n) expected time. Your algorithm may permute the elements of x.

9. Build the fastest possible complete function to generate a sorted array of random integers without duplicates. (You need feel constrained to use any prescribed interface for set representation)

10. Implement heapbased priority queues to run as quickly as possible? at what values of n are they faster than sequential structures?

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