10月底Google美国麻省技术评LinuxJournalMensa日物理等专业杂志刊登份Google实验室力倾测试 试卷开头蛊惑写着试试答案寄回Google希Google总部参观成中员 题目然古怪算困难兴趣做完邮寄google公司许会工作机会呢(注:答案) 1 Solve this cryptic equation realizing of course that values for M and E could be interchanged No leading zeros are allowed WWWDOT GOOGLE DOTCOM 2 Write a haiku describing possible methods for predicting search traffic seasonality 3 1 1 1 2 1 1 2 1 1 1 1 1 2 2 1 What is the next line? 4 You are in a maze of twisty little passagesall alike There is a dusty laptop here with a weak wireless connection There are dulllifeless gnomes strolling about What dost thou do? A) Wander aimlessly bumping into obstacles until you are eaten by a grue B) Use the laptop as a digging device to tunnel to the next level C) Play MPoRPG until the battery dies along with your hopes D) Use the computer to map the nodes of the maze and discover an exit path E) Email your resume to Google tell the lead gnome you quit and find yourself in whole different world 5 What's broken with Unix? How would you fix it? 6 On your first day at Google you discover that your cubicle mate wrote the textbook you used as a primary resource in your first year of graduate school Do you: A) Fawn obsequiously and ask if you can have an autograph B) Sit perfectly still and use only soft keystrokes to avoid disturbing her concentration C) Leave her daily offerings of granola and English toffee from the food bins D) Quote your favorite formula from the textbook and explain how it's now your mantra E) Show her how example 17b could have been solved with 34 fewer lines of code 7 Which of the following expresses Google□overarching philosophy? A) I'm feeling lucky B) Don't be evil C) Oh I already fixed that D) You should never be more than 50 feet from food E) All of the above 8 How many different ways can you color an icosahedron with one of three colors on each face
? What colors would you choose? 9 This space left intentionally blank Please fill it with something that improves upon emptiness 10On an infinite twodimensional rectangular lattice of 1ohm resistors what is the resistance between two nodes that are a knight's move away? 11It's 2 PM on a sunny Sunday afternoon in the Bay Area You're minutes from the Pacific Ocean redwood forest hiking trails and world class cultural attractions What do you do? 12In your opinion what is the most beautiful math equation ever derived? 13 Which of the following is NOT an actual interest group formed by Google employees? A Women's basketball B Buffy fans C Cricketeers D Nobel winners E Wine club 14What will be the next great improvement in search technology? 15What is the optimal size of a project teamabove which additional members do not contribute productivity equivalent to the percentage increase in the staff size? A) 1 B) 3 C) 5 D) 11 E) 24 16Given a triangle ABC how would you use only a compass and straight edge to find a point P such that triangles ABP ACP and BCP have equal perimeters? (Assume that ABC is constructed so that a solution does exist) 17Consider a function which for a given whole number n returns the number of ones required when writing out all numbers between 0 and n For example f(13)6 Notice that f(1)1 What is the next largest n such that f(n)n? 18What's the coolest hack you've ever written? 19'Tis known in refined company that choosing K things out of N can be done in ways as many as choosing N minus K from N: I pick Kyou the remaining Find though a cooler bijection where you show a knack uncanny of making your choices contain all K of mine Oh for pedantry: let K be no more than half N 20What number comes next in the sequence:10 9 60 90 70 66? A)96 B) 1000000000000000000000000000000000 0000000000000000000000000000000000 000000000000000000000000000000000 C) Either of the above D) None of the above 21In 29 words or fewer describe what you would strive to accomplish if you worked at Google Labs
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