1. Solve this cryptic equation, realizing of $ a9 B- }5 \4 A, Q- g5 w, ~+ _ % G( R2 X. T/ ]# ]4 g2 V1 J4 |course that values for M and E could be8 r- u/ t2 y3 p% V% v0 G' _2 z
5 ~6 _$ W& ~' \( ~# n) `interchanged. No leading zeros are allowed. : y* ?# {' m# A$ q' e / o$ B* I% D0 Z' t; O0 A6 H3 c8 U" X: q; @/ q5 D& O' x" Q# J
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WWWDOT - GOOGLE = DOTCOM2 t; Z( _, W F6 M1 X5 ^$ q3 G7 j4 z: H R
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) O6 }: y5 T; M8 }2. Write a haiku describing possible methods5 U4 w6 D- [7 L H9 r: [
( l; R0 T* b7 f, z ) c& @4 h1 _; L9 s' g# D5 _What is the next line? % o, p$ l" P" e# r) F+ g1 s5 M2 ?8 y% c. h
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4. You are in a maze of twisty little passages, 7 `% q5 L" ?' o . H- Z# d! g' B5 g6 _+ Eall alike. There is a dusty laptop here with a : N2 `5 q5 P2 C7 v1 P( a7 F: i+ E0 s3 H
weak wireless connection. There are dull,4 E; X) }9 C$ Y' ^: p
, i8 X; n8 Y0 y; [, x! o* c+ R2 Ylifeless gnomes strolling about. What dost 5 _( a- k) _$ [- {7 z# ]* K: }/ @! N' F
thou do? . l% {& Y0 q$ J! \" s, b , w8 g6 ?6 |, x$ c- h9 D : l8 a0 n, h, o' B 2 j) Q; j3 y) g- X* q: v$ K7 _A) Wander aimlessly, bumping into4 @) P5 K$ {% X: Y! Q4 R4 r6 X
; N3 P9 R% r, {* V6 V4 Y( r/ e8 B0 A8 dobstacles until you are eaten by a grue. ( n* Q+ E$ g- y! _% [ @! R M# Q4 D5 F0 F
B) Use the laptop as a digging device to 5 C* t2 w, \7 a& K- t5 Q3 V6 `4 K( D# V2 a0 k/ l' t4 g
tunnel to the next level.# E0 z, O$ m3 f/ l
7 h1 V( Y* c9 F' ]C) Play MPoRPG until the battery dies ' H; r8 x; l% _$ \1 N; H 7 v3 _6 u) ]1 j p# q1 zalong with your hopes. # T2 g% {) b" k5 q* i3 V ! k1 H+ }7 `0 T# b6 _9 g5 U$ pD) Use the computer to map the nodes - ?5 ~$ l9 w% W( H1 e H/ Z% o ' m# }: `5 b% h4 X- ~& k+ _- Eof the maze and discover an exit path./ K8 o- j. @1 b# x
+ r7 ^: X+ a, d" l$ mE) Email your resume to Google, tell the $ g) g" d2 }$ Q$ W! y3 W9 ` 1 x7 X$ Y6 H' w) M: g" zlead gnome you quit and find yourself , V8 w- S5 P+ z ?( w# Q4 ^% W1 q2 h1 |1 W B: n
in whole different world.0 ~5 U1 ~& o/ i
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5. What's broken with Unix?* B4 ^- S% O* d' ?$ }
, n- l1 `- C6 d) D3 N/ {How would you fix it?' t8 R) h X9 ]9 _
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6. On your first day at Google, you discover/ g9 L9 ~ N7 v% O) L* U
' y* o3 i) s8 G* [' e- Fthat your cubicle mate wrote the textbook ' E# B' t) a: i' P; M+ c2 G ! D0 g- j, y8 f, o% ?you used as a primary resource in your first 8 b' J% [* d6 i0 B. s B S; {9 d* E9 a5 i+ B
year of graduate school. Do you: r# a! ]7 R% D 7 `- r6 ?, O$ W' e1 S3 J3 z- v _" T, [. B; q2 `2 k3 z5 s4 F
/ _) \/ R( B( bA) Fawn obsequiously and ask if you4 y5 v/ H2 V5 T3 a2 k( l6 X! \& e
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can have an autograph. " L4 a6 R4 ^6 N( t. a# b: [% [' R' z& q" x3 n! E( @- m& d
B) Sit perfectly still and use only soft! b5 @/ Y. E5 C& d; z; P8 o
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keystrokes to avoid disturbing her9 o, Q! X# w5 F R' v
! g; U+ j1 D( @' }+ `! pconcentration.6 _; }, i: n' A
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C) Leave her daily offerings of granola ( j" h# Q) R) v) z 6 G8 H- O+ D. m! Kand English toffee from the food bins. & G5 ~0 E" B q. y+ A M: |; a' j: l; i8 z7 V+ `% O/ O, [3 V, y
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D) Quote your favorite formula from the 7 X: z0 y5 B, ~5 `& J/ l$ Y7 r; z o3 a) ~+ I& }* j
textbook and explain how it's now % [+ I. n4 q% L* w % K) g9 L7 s/ R" C( y! Qyour mantra. n' n4 C9 H) |7 i4 I ' c; ]2 \* q6 o4 q: QE) Show her how example 17b could' @# A u4 n7 `2 s! ]% K- V
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have been solved with 34 fewer lines0 w2 ?' r w3 H
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of code. 2 V0 e1 m2 t' t - c) p5 c9 A# P g4 X1 z7. Which of the following expresses Google # M# o% }; r+ {/ ~ 1 w8 N' n5 F0 e6 G* O8 Bover-arching philosophy?& s$ Q+ x+ A7 w5 v, f2 ^2 f8 ?" {
! u! r2 S- E6 U. O4 j- u1 [6 V5 b) w! w0 L2 W6 A" c
8 C' @2 {( v4 `% C! a9 z% x( WA) "I'm feeling lucky"/ g6 K* S/ A( | g
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B) "Don't be evil"9 D; S8 B Y9 T9 l9 n1 X# n
+ \ g$ u) L. C. @ J1 @3 kC) "Oh, I already fixed that" 4 A% F2 a/ _, F( V, M" Y' |* J- x J* u( I" O/ S9 u" b
D) "You should never be more than * d( u& \0 ]* `' r A3 { # ]" X# J& @1 Y% }. X50 feet from food"! j' O4 W6 d: E/ Q
# x' c2 M" G8 V- ME) All of the above9 a% c* y, U4 U4 `4 c
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2 b1 i: q, g1 v" ?8 ?5 O3 c % T0 d8 P& L3 r2 W+ t. f# s8. How many different ways can you color an- }; `8 N& @* r0 P
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icosahedron with one of three colors on6 A6 Q& y, [, v' H( s
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each face?! Q4 B7 a$ h3 L) L
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What colors would you choose? ! C1 d0 X" v! Q. m0 x; J7 N# _( i 8 E$ e+ ?, h1 {7 {+ f0 \4 ? " |. ?& L( \" `1 E+ t3 E4 d 0 x; s7 `" W6 x9. This space left intentionally blank. Please fill it 7 }2 u8 I9 _) O* h# S2 y ' a9 \' Z( C3 {9 c: E% u% l9 G: lwith something that improves upon emptiness. $ I9 c4 l. U/ S, H 0 T# _' {$ H/ s# @# v$ c& G3 L9 v, ^$ j; ]7 d9 p
; v+ l5 u5 d& R" C# }1 o10.On an infinite, two-dimensional, rectangular: Y0 z/ P. b/ Q S5 V7 c1 Z
3 Q) `" m' R2 G4 Qlattice of 1-ohm resistors, what is the' u5 ?' N8 m& a! Q: A
" f. m. F6 D" d4 m2 _( _resistance between two nodes that are a - a0 E, J: G$ o9 n. D6 T 2 q M. y# N5 i. |2 ~( [knight's move away? - c" t) C' P- p& o" @3 A, N 1 P9 j8 U0 ?- ^, s 4 [8 e5 T; a9 R; J7 a 8 T% M" F; X7 Z& v" ]: |11.It's 2 PM on a sunny Sunday afternoon in the4 J6 a, i) H4 I( r( C1 M0 p
5 x: L1 u. I g# x% ]! S8 }Bay Area. You're minutes from the Pacific 2 ?% g( Z& W. F$ \ - y! L) U' k* ^- l( T1 _Ocean, redwood forest hiking trails and world ; b( [: i8 a. @" T1 F; I$ t. ]4 A" Y# Q& {' _* Q
class cultural attractions. What do you do? ' X9 H% g: T! V/ h% {, @& S1 v9 t1 s1 y# S0 }" Z9 y0 d
. @7 o% @- N9 s' o2 ^7 \2 N% V ' }3 h l' w. T5 e% N2 R O) x12.In your opinion, what is the most beautiful ; m! y3 W; L- f2 v' j# |2 h, O+ h" X: X+ T8 c
math equation ever derived?0 `9 j) d! Q5 J& g; I' T
' {/ g' T1 t$ _7 t( J ; g- m# j) {3 g& f. ]3 ] 8 w' b4 x# y) K" v3 } h13. Which of the following is NOT an actual 6 E$ [: H3 n4 d7 y% |( M* w$ O4 r6 Q+ ?
interest group formed by Google employees? * R6 X9 Z p- R1 k 8 N) N& s. e. q) q6 ?* B ; e% L4 K: R0 A ; Z L N# p4 _& VA. Women's basketball: u% ~" x4 E7 J- p- C& r5 a
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B. Buffy fans ! K3 j0 L- b# K% K% y% _ 0 w6 x& H% }+ l5 j. ]3 W d/ lC. Cricketeers % b$ ^* K8 o( S$ x& Y5 b$ ^) U9 V% G
D. Nobel winners) N" F1 ^9 c2 Y( ]
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E. Wine club" }+ t" Z* W" K. R, A9 ]2 S+ Y
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( C1 E& |5 v0 c* k$ k* M14.What will be the next great improvement in + t( v3 c( A( V/ F( N 6 m" L: k1 {5 vsearch technology?- U O1 S$ Z% Z8 ^$ |
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15.What is the optimal size of a project team, ! z( U- L r9 a1 i* p$ @" e5 h& K+ n, O# S4 U6 E! P" h$ l6 u
above which additional members do not * @4 s* V( z7 [9 V: e Q, X3 b- q 8 H* T5 F4 A( m/ f: acontribute productivity equivalent to the; C$ y- \2 J: P4 {. l0 E/ H" S
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percentage increase in the staff size?! M$ O" r$ |( `# w5 \
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A) 1 3 s& m6 |+ Q5 C: l 2 u3 J0 J% s9 C8 dB) 3+ G" b! y3 B8 |/ E! Y+ @, y5 X8 Q
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C) 5) U2 m& V+ L6 G$ n. b2 z. w: B7 L8 R
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16.Given a triangle ABC, how would you use only 4 E/ k3 s! d( G5 b2 h' d5 V/ h p; S
a compass and straight edge to find a point P 5 T. h; _- c4 R* ? " Q! ]8 R4 G6 i; x8 q! s8 fsuch that triangles ABP, ACP and BCP have; Y! }/ I7 X- m# Q' k2 y
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equal perimeters? (Assume that ABC is ! W; [4 e2 W. b1 N3 K( n4 ?9 H% }( b1 N: _' B! p h
constructed so that a solution does exist.) 1 I+ ?7 F! D) @' b* w6 L* {$ E) R# Q6 Q Z, \
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) h5 a+ A& B v3 v& {& m, k0 j17.Consider a function which, for a given whole 8 }+ }/ x7 L4 Z Y2 H# ~ : x2 n. v( J' T* S% h5 F) Q7 @number n, returns the number of ones required ' i( M" W: i& [3 b, q - \+ X: C0 L+ o xwhen writing out all numbers between 0 and n. ( m1 e$ ~% N7 @+ U1 G+ W& ^ ] / C+ @8 O/ p! {* e7 e' T" }/ EFor example, f(13)=6. Notice that f(1)=1. What; M' R' Y5 F+ U2 L. f0 q
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is the next largest n such that f(n)=n? 0 y1 `5 s- W! k4 z/ q& D - q" p5 f- f; V B& K2 i6 k# ~1 B4 S8 U. c% s
+ [7 h: Q7 b5 p7 d+ i18.What's the coolest hack you've ever written?( n+ H0 Q. ]5 I
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9 j; y$ A( l& z8 W! W( s! k19.'Tis known in refined company, that choosing, q" O( c- x$ Z
0 {( D u; d' q% \
K things out of N can be done in ways as$ h* f q' Q3 ?$ g* Z3 t
7 J0 |6 J5 e, d: u: H+ dmany as choosing N minus K from N: I pick K,' ]- Z( N. Q' E! f
) m2 O4 e( d' C2 J7 |4 Ayou the remaining.) `% i+ _, v3 }5 n3 G& w x5 z
s. x6 K0 s2 A9 H) `1 \/ o3 [ ) G6 V+ b9 `. @5 J2 c. S! F2 s1 W& }: J# C+ [2 q8 E1 g( @1 h( G& _/ e8 q! H
Find though a cooler bijection, where you show% P% }8 @; q( p& _/ [/ ^
! N5 P) D% p! f. G+ p* y/ `a knack uncanny, of making your choices contain% P2 s4 K8 O8 R$ ]" L: z
1 @% m+ M0 g" k& J1 \) m
all K of mine. Oh, for pedantry: let K be no more3 {2 R" [1 j( V' t, A2 |
" t- N) Z3 k9 d# B9 l' Gthan half N.3 i3 P: E/ ~$ k$ M! E
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( V9 n6 o. O; g# l3 b$ s% W( W" u2 v$ ? # t6 c" z6 a" [! j5 u& y8 ~( H20.What number comes next in the sequence: 7 ]8 @& A1 R6 g# X" M# y3 C$ P6 g8 G2 f% R* Y7 I/ p5 B+ @ _
10, 9, 60, 90, 70, 66,? / W6 _: Q$ e2 b; e+ Q1 k* W" R* [& v" H1 u9 H& F9 J! u. t
! b$ j. H5 U/ ]- M+ J: T
+ Y( I( |. @ D. q2 d6 Q1 D
A)96* ]" ^: e* a* R( m4 c/ l. u {
+ r8 F, h# Y: q5 H1 T$ B+ kB) 1000000000000000000000000000000000! e( |% ?) } m( w) Z8 b
B2 e2 U$ j: i
0000000000000000000000000000000000# }5 Z4 [5 d8 @* p
0 f; R) O$ }: Y7 M
000000000000000000000000000000000! ~0 `* A# T9 Y1 a b
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C) Either of the above/ g) g N4 E6 s# B Y+ Y
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D) None of the above) x* i9 w! N- s' I* N2 p
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3 h3 k3 @7 f$ j) Y0 R21.In 29 words or fewer, describe what you ( {; I* S7 S9 O9 Q% P+ n# T! t; N4 {2 ~6 e5 P. e7 O, S
would strive to accomplish if you worked 0 V3 K* |0 R* |0 |7 x' g: a( N4 w( |* o) H/ }
at Google Labs.