2 j$ B8 e0 D$ s7 o( i& j' c* r2 O! A% d" D
What is the next line? 4 W. j0 N; }2 z/ d$ i7 ]2 I* A" w, I P, @2 Q' d; {# O
& ?9 E/ f8 J! I) n1 k6 }3 P! Z* Y8 u
4. You are in a maze of twisty little passages,# @8 U; x9 d! V* a- g0 c
7 v N! K3 X+ F) ball alike. There is a dusty laptop here with a8 |7 V0 [" T+ p/ q+ j* m
3 o1 f; C' \- a8 w) n2 u1 o0 e
weak wireless connection. There are dull,2 {. A9 Q! O8 K
% Z8 ^; z- s( m O
lifeless gnomes strolling about. What dost 8 E$ s8 N- f4 x5 y' q8 G# S5 U$ N ! n0 I+ t3 A- B2 e+ c% k; Fthou do? ( c8 d% I9 C/ S9 ?6 y# ] 2 n6 }" r/ f# M9 P' J/ [% ]2 v3 ^8 l$ E* ^8 f7 F/ \
) H4 T' h. S/ C
A) Wander aimlessly, bumping into5 P7 P, B: k1 L
, l2 _0 c9 {4 t0 i+ @/ S
obstacles until you are eaten by a grue.2 K& M2 ]* }2 K# K* h2 G
% C* c% J* k3 T' Y# K) r9 i$ t$ [. F7 MB) Use the laptop as a digging device to7 K* L7 J1 m, }- D1 n
; w8 ~# n4 ^# z2 e0 h
tunnel to the next level. 3 d K: J2 P/ H. T( V 2 S4 I0 M X- m6 E& H% a/ wC) Play MPoRPG until the battery dies3 ~7 y" U/ n9 \' W h1 Y2 r
8 m) D- _) D, A( [* ^
along with your hopes.! h2 p; m- V# ?# g' {% O8 v. E
3 S" _. Z# X7 P! s9 l) @; \
D) Use the computer to map the nodes : h: r+ n! B5 f7 x2 y3 l. ~- v9 Y+ X* S0 L
of the maze and discover an exit path. 6 k3 \' D: K+ m6 X5 r' z5 [3 \$ o0 |3 C3 @ \6 w1 o9 j
E) Email your resume to Google, tell the. d2 D7 {+ c9 a
3 G H% O! ]7 L1 H7 c( Hlead gnome you quit and find yourself 4 d' {: N! _. I/ `! Y1 ?- J7 T" }. t
in whole different world. . c- m* G1 o/ @# q % X9 S7 d( h6 D" E 6 }# m, Y K; l$ @ 3 u& v0 a" R# Z5. What's broken with Unix? & }- I ^3 A5 u' F# m5 k) Y# l i3 B" @: V' w" J0 o( r
How would you fix it?: F7 I2 ^- c2 {+ \1 r" h1 @
- f( J6 ?9 g9 y0 E9 }5 A; f$ G. l 7 A8 H9 X4 B( U( S3 e% R 2 ?% |) g# V. n( t& v, R+ l6. On your first day at Google, you discover # y$ I! ^) c7 g0 c4 _3 P1 j ( b( V, j# Y; ]that your cubicle mate wrote the textbook 8 P' `$ {$ k4 [8 ?7 y0 [2 e1 M! ~* v1 c
you used as a primary resource in your first 0 l! ?6 C8 r/ s) Z. r* c. h, g* a5 K- Q- h* F
year of graduate school. Do you: $ J5 h# \9 u* {$ [% h/ u5 x" {! o; f2 s' l& t3 i; }/ m. \" f( @/ Z I
3 a$ Z% Q# I+ }% Z8 L' K6 d8 [( p
9 t3 N, O0 M$ w( B
A) Fawn obsequiously and ask if you/ k& K- v' H8 O3 ?8 t
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can have an autograph. ' z% d. f3 `( P+ c2 t 1 d! _9 ]" G! N& V- O4 @B) Sit perfectly still and use only soft6 \, p3 K" G0 w9 m
8 Q2 S, v$ b2 r" v- G+ Skeystrokes to avoid disturbing her P2 y- g% I7 b ) c7 Z5 T ?9 [/ p) Yconcentration. 9 A. N+ ~ Y6 Y: o) p 3 z# t; y* ^; m' ?C) Leave her daily offerings of granola ( j8 n4 {# i9 o" X& P # f( e1 J, G: B& n# A) Y7 dand English toffee from the food bins. 8 c% m. ?- A; R( B+ c7 Z8 r9 E2 [4 T" ~# a: p3 I0 r, Z& j
_. f ]/ l- i/ |! m1 I% V' o, R
9 W# `3 L. o) f4 W. k3 j
D) Quote your favorite formula from the6 S5 j! W6 Z P$ {
4 P) e- j8 u Y, n0 d: |& l- }
textbook and explain how it's now ) n8 ~) b8 q4 R# |5 g1 u# {) w# u$ q# I( D7 W+ V
your mantra. 8 a: H0 t, i# P. Y% T5 o4 j- A 6 f. k) D/ [: \- c' ~5 [1 AE) Show her how example 17b could0 i9 z' Q& h2 ]4 }' i0 q2 g( e% g
3 D" ?# j Z* h1 e! A' B& Lhave been solved with 34 fewer lines ) g5 @- ?- i0 F7 b1 B# \* b7 |2 T, _* g" L3 _1 a9 l0 g
of code. ' s7 M; a. q# B. A5 k q: A( V3 l 3 `1 M: W. x9 G" x) _7. Which of the following expresses Google- g( J- z+ X4 N/ {' e1 W1 I. Q
4 W; h. P& ~. f% K4 v2 i; J
over-arching philosophy? " e+ g* l9 v3 Z- U. R. O" t3 o0 w8 ?8 m. O
' Y0 L0 l4 F( U7 y- X& [ ( b' P) b; u/ P) y! t5 p( u3 a8 zA) "I'm feeling lucky" 5 w7 `3 E; \* m& E( \3 K- c4 p+ F8 C
B) "Don't be evil"% [8 i. U( X5 t, i
. Q8 t/ C% _2 f" l+ HC) "Oh, I already fixed that" 2 Z# a+ z) z4 Q! v3 I0 `& k1 p) f7 X, [' R& k4 X* T+ J
D) "You should never be more than& o1 H, N) ` h; n4 ]
7 j4 G/ E& `/ a2 u2 A2 N
50 feet from food" # \7 [: z3 _( g. X' K! h5 j) `3 i# i8 n; n, m
E) All of the above3 P4 M% c- x* p9 F+ v
6 K c- h, }$ U) S( s, u
) {( @) I, G1 H W6 R8 F
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8. How many different ways can you color an4 b" ~, r" M9 \% H8 t, V
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icosahedron with one of three colors on ! Q! m+ K5 j- ~. R + w) R4 t- E0 ?2 q# Oeach face?5 `. T3 L, y/ D. E
* T1 z k; v1 g9 `4 Z) Z9 T $ k; J c- {* _& O- G. L* [: {3 Q2 y: X
What colors would you choose?) ~+ M$ {: m3 z5 C! b
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1 @# w) t5 J( {# d
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9. This space left intentionally blank. Please fill it. K9 V# g0 {: z0 j2 I. y5 g
8 Z+ M- G2 f) p) P) ^with something that improves upon emptiness.6 d% K6 m8 G7 O
6 v; F% \* Y3 {8 P8 C , C2 ^% }: A5 {+ u" L4 o' |& W7 ? J6 h/ O0 e9 O/ ], `" g2 D ~10.On an infinite, two-dimensional, rectangular& j0 E3 M: y- i
" ]3 T2 o4 a/ V1 Y0 X7 Rlattice of 1-ohm resistors, what is the 9 D2 Q' Z: V# @8 A Q' k9 i. j9 ?5 H' q
resistance between two nodes that are a# m" c3 ~2 k7 C
3 R$ c( [& x! m
knight's move away? " w$ B3 o# v7 x. ^9 {* I# i/ F* _ X4 \4 ?- K6 k( I$ F3 o) `
& o- W8 f9 N9 I6 Y# \% I " ]0 a3 I% H) P7 R5 ^5 p11.It's 2 PM on a sunny Sunday afternoon in the/ t% Q6 ~9 i. O" v$ y8 M T' \: f+ S
& x' W7 k! \1 Q& ?+ }) ^2 vBay Area. You're minutes from the Pacific9 C/ W3 I& p9 Q* S1 @/ S
' Z- T9 d: l+ v+ H- ?" f6 FOcean, redwood forest hiking trails and world7 h8 D9 ` H% ~2 g9 v2 Y8 U. w
$ m/ u R& p& `9 C( e/ O8 W- O4 Lclass cultural attractions. What do you do? $ E, u* w5 m8 Q * m7 |1 G4 J2 R: w2 n $ W/ a5 V+ b: v4 f: m* j b9 R$ |' i2 n& [" Z4 Z8 G
12.In your opinion, what is the most beautiful 8 u5 R! d* N2 m3 O( O: |. b: _0 b3 G" V
math equation ever derived?+ w3 q0 _" P% F5 l
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13. Which of the following is NOT an actual% }0 x/ M- L6 f9 X7 k- C. L
/ O8 N! m4 s; @% |interest group formed by Google employees?% |0 K6 x2 X$ K7 p( O
# V: |+ [# m' R
! c2 E! i& }# [ h8 |
- q+ J% {) A/ d i' AA. Women's basketball& h: P; O, O9 c6 U
1 X% Q+ C% d8 W
B. Buffy fans" m w- K2 j' F$ S8 Q; p. Y4 S
$ j. B1 o o, s3 e( Z7 j$ kC. Cricketeers) D7 F( [! k/ B5 t/ r6 R
% @/ m4 `& G0 j7 d5 ND. Nobel winners 2 }2 g) L. _" P! k; Q* l 3 v4 i5 E, a; F: PE. Wine club 7 q! n8 q% q" w4 f7 o1 X& G, W+ I7 n. E2 p
+ l; W# f, v9 V6 ~
+ q3 ^. b/ E! X+ }- S
14.What will be the next great improvement in: L* f E" ]2 |- C
: q$ V; G- v* y; c
search technology? $ ~9 U" W/ ~" y* H0 h" K; _4 {. E, u! a) M+ A2 z
`* [% S* f6 O% P& m* S p' w: _6 Y( u( G4 k15.What is the optimal size of a project team,% m4 i( n, ~9 C! j
! @% [+ Z, w/ a
above which additional members do not 5 F$ J/ n9 j! j/ l2 i& U" D' r% T7 V+ v" E
contribute productivity equivalent to the # _$ u0 ?3 L: M& u+ Z! G% o [9 O6 m5 c7 t1 j1 O
percentage increase in the staff size?# L8 J: x6 L" t5 {( q
" e, w& e/ G) `# `6 _
A) 1 & t( v! Q+ ]3 D/ B Z- | 6 P% S7 s0 p8 M0 p% cB) 3- O- D, I- V6 b) f4 s$ }) g6 ]& v
" ^ o( Z2 z% v" x# E5 d
C) 51 v; m0 |" q4 L0 J, ?& u+ I$ ?
9 I+ T- V$ R( ~/ v+ Q2 Y
D) 11 ) L4 v9 n7 l4 G/ _" x0 b! y 2 d0 k4 ~, g, oE) 24 " c' d/ D( \; e2 T" h F. W4 Q7 G+ N* Z- M
9 Q/ v Q% C, H/ Q8 L, s5 l
4 [9 |, r3 _% I" K1 P& ~* J
16.Given a triangle ABC, how would you use only ) J3 e# s4 m ~0 t6 @" x4 D3 S5 {0 p% q
a compass and straight edge to find a point P 3 g+ E/ o6 c+ o# _9 H" s ( L9 s, M0 s4 Csuch that triangles ABP, ACP and BCP have 6 u, q) Z* N; w7 [5 I/ k6 P9 |" L* ]. J: q! P
equal perimeters? (Assume that ABC is' H/ M/ H6 T1 |% T8 T
0 o1 B/ w+ _2 N6 W3 o Yconstructed so that a solution does exist.) . {$ X% O6 c$ J0 j. N( B3 X: b/ [: S' ^
+ x9 s3 J0 d, o$ |
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17.Consider a function which, for a given whole 8 {1 L) ]3 l a' p3 A9 H0 ?' K . C Y8 a3 b1 Z' w; F2 onumber n, returns the number of ones required& X6 q& _4 P: I5 E( g6 x
; G1 z6 s% `) B0 {, C
when writing out all numbers between 0 and n. ' c% @( t. c( [: K p: t9 w) E 2 j3 L4 a& \+ ?7 f8 r/ U: W' }For example, f(13)=6. Notice that f(1)=1. What " ?9 w4 s! c5 K: ?2 X. }( l/ r9 A9 N2 P+ W
is the next largest n such that f(n)=n?2 |) j7 Q# e2 Y: I
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" g1 \' P4 `2 W' x1 s
18.What's the coolest hack you've ever written? 5 i, B/ X/ h' ?2 j/ ~& i" W; N ! V* }5 \5 ~/ c. X& ]) ^) C+ Z" K( N! i( m7 B# e2 z1 J7 U! \
1 l# |: e0 t$ v( M# A( a
19.'Tis known in refined company, that choosing3 {* Z2 L- P# e! W; t1 l
- _# b0 q* E# C/ Y2 G- \+ R
K things out of N can be done in ways as $ [7 Q9 u% z" s# o7 `2 U8 W9 H; ~9 ^( G4 i+ s' s+ k# I
many as choosing N minus K from N: I pick K,# W6 h% A: a" D0 M% a. @
$ m w7 g. X* C0 Q( tyou the remaining. " J1 r* W$ c% u3 ?9 N3 V/ {- {0 O
( L+ J1 o# ?; L5 v
* E$ N* H. ^( N7 t, k3 oFind though a cooler bijection, where you show) i* o9 W& }3 g0 G' j
) j1 V# r) d( ^a knack uncanny, of making your choices contain, t$ f" @' d( k0 n
2 |! h; ~, L9 \& ^3 ~all K of mine. Oh, for pedantry: let K be no more 7 H& u; L/ x! M+ @, V8 e1 X% Y8 M4 t# N
than half N.% m% ?, ^' K: D( J
: k: I+ V Y7 U6 C0 e% w: h' M- m
1 g2 K) y6 Y; E1 z) K# Y; p
8 x5 o9 o4 C3 K6 j6 a
20.What number comes next in the sequence:- }& s9 n ?4 I9 ]6 U$ z
+ G5 f/ M, C+ ^+ `3 t# @
10, 9, 60, 90, 70, 66,? , p+ Q1 q+ S! e+ C4 N - q' w6 e0 W8 J! Y+ l- ~* `: G/ g) Q# P, ?7 ^6 I
$ r' q1 c( z- b- h4 y$ XA)96" d, m& l. b+ [5 C" e% b ?
2 {' [* n* y- |6 S( t( D1 y: ~
B) 1000000000000000000000000000000000 & R3 s L) C6 o; p3 V . a: ^9 |* Y2 y1 c, U0000000000000000000000000000000000 # f( {" T2 l3 G' G& Y% f$ M' `% W$ F* D4 |6 q; g
0000000000000000000000000000000002 N; D! w3 E" X* ?
6 T) c2 S! g( a6 F# V
C) Either of the above " e9 Z* I0 I" m: g1 g* c6 p7 C* |" |" t( e& T
D) None of the above8 o w1 l* ]# R8 v+ P( k: I
) l! `- O q- V
8 ~! c1 U; U& p0 U" `' N& B2 |3 r% h6 o% J
21.In 29 words or fewer, describe what you 4 }. i; ]7 u8 l% [: i1 `& m& t ]% w9 _( s0 [$ b6 H o7 W( S
would strive to accomplish if you worked9 G: w" ?3 E9 B7 J2 h- m1 ^. }9 U
; y9 ]' R& Z: X' C4 Q! Y
at Google Labs.