1. Solve this cryptic equation, realizing of : j6 a; ?' s' R$ x; d8 g: Y! N m3 k9 m$ F3 { s3 H# |
course that values for M and E could be : H& k& \2 Q) l; N) M8 u# Z) E/ {/ ?8 W% m9 p
interchanged. No leading zeros are allowed. ' A! U' m. V' I8 g: d4 b9 p H1 P; L; Q5 B# |
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, A( B+ G& x8 n! i' WWWWDOT - GOOGLE = DOTCOM & w h$ p( G0 [5 L$ a D- h# W( \7 H; t9 u2 d. D) k# K
5 q2 {5 N4 A6 a, R , E6 `6 z' _) I2 _3 M+ S5 h2. Write a haiku describing possible methods0 E. E9 B; G' b9 j: n0 i: [
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1 $ l7 b; r: s% r2 @* Y8 o3 {5 r, r: `, o( D3 M
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, j. }0 L7 }' `5 o( ?$ IWhat is the next line? 1 A3 o! C L. q4 g9 n& P2 H 5 x$ v" c2 C! y- U7 T I/ e( c h. x7 g4 V; j0 R
6 F9 h' Z/ w* }4 q5 e5 C% U; H4. You are in a maze of twisty little passages,6 Z& Y3 ~0 F5 l( {6 m% l
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all alike. There is a dusty laptop here with a' b- s) @- a- h3 L# O
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weak wireless connection. There are dull,. J2 R3 C( v; f% }5 @
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lifeless gnomes strolling about. What dost8 U1 m a" B7 U) |* |8 X4 u4 N5 Z
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thou do?) @) K& n4 `; B r5 Z; d
3 y! a- m1 e8 T x( ~0 yA) Wander aimlessly, bumping into( m. ^9 L X& y
# G3 J& s% j/ o ?4 t9 n7 Cobstacles until you are eaten by a grue. - g O) D [: [7 O7 H; Y5 E* C! N$ w8 h! G$ p- N6 I! G6 H6 N$ |
B) Use the laptop as a digging device to2 X0 E4 z$ k* ~4 Y
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tunnel to the next level. 2 X; A7 [/ i, y0 F2 m: J1 W & U1 K' u4 }) H6 p+ x, H# nC) Play MPoRPG until the battery dies - T' w9 ~7 d3 B! ~: j0 V- I6 J" I3 B' @ ?6 L" x4 w. @" O+ [. v& T' [+ p
along with your hopes.* U4 S6 r. i4 d5 i9 D) K& u
' O3 g* {% Z4 @- t6 \D) Use the computer to map the nodes% h4 j/ V; ~+ b' ^ X; i$ O
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of the maze and discover an exit path., L6 B( I" a5 B7 K. L
3 n4 p: v0 z3 s9 c3 Y. I7 uE) Email your resume to Google, tell the * H @+ @: |% u- n7 U$ a& ^ , N) p6 h- J2 Y* M% u, C) q1 zlead gnome you quit and find yourself . J2 e8 E1 z. ]# l 0 S, Z( T. V2 `, v, f7 vin whole different world. , B- R# e4 g j; {) Z# G0 W# a, A6 Y U
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5. What's broken with Unix? 0 O8 L& @; F# m+ E / H5 N7 |! f- ^4 g9 G4 v u& V( ~How would you fix it? & X& a, w& U" _7 g2 q; e $ K1 O0 c" b9 q+ f. M+ {3 K, e6 q+ p7 l
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6. On your first day at Google, you discover " c+ S+ a; G$ N" v# ]8 u - y1 e4 D$ H& _- [# f. C/ Dthat your cubicle mate wrote the textbook" S' n8 h- T5 v! y- C; b# w
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you used as a primary resource in your first$ C' W; J$ _0 D4 A- X x3 x
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year of graduate school. Do you: 2 I* r( K! r" W: k# A- |0 k# y$ h4 A/ U+ y
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A) Fawn obsequiously and ask if you , c3 V, ~8 r1 e* S& J6 w9 @7 Y: Y% [% V; D t
can have an autograph. : P& E, J3 b8 f W* O7 h3 Z6 b8 s8 L) p1 \0 H: x7 k
B) Sit perfectly still and use only soft & U& M0 P/ t/ w3 B' q- k( {! `0 e: h0 _ R7 ^% j
keystrokes to avoid disturbing her, k2 ~* w/ i2 |
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concentration. + ]' b5 P: D. x7 G7 V* v& ~9 X. a+ \! ~: B) B* [- v
C) Leave her daily offerings of granola ! F5 h. ~5 N. t2 Y5 I$ G+ {/ [2 ~0 k+ l6 n2 b6 R. }. {% R
and English toffee from the food bins. 9 H- C& t6 P7 f2 q4 u- k2 o" Z4 n6 ` r' T
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D) Quote your favorite formula from the + U) [. d, {/ Z+ x U5 g; Q + G+ A, \; S# k2 N9 ^textbook and explain how it's now - k) U) E/ T" w' k1 g! M: @8 }1 @$ _; K& b5 G' C7 S( M
your mantra.! ]8 [1 E& e: _* ?% w& z- U4 e& A
$ x# s7 G( z3 n& nE) Show her how example 17b could0 p) n% M9 i: @, p% n7 v2 n1 V
- Q2 ?3 |! Q. C! f) C% H. ahave been solved with 34 fewer lines 6 v- Z4 t2 Z7 E4 s/ V' p5 z# C9 e9 H( E6 r; d8 M
of code., Z' r* K; H) m+ l1 {" ~, C
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7. Which of the following expresses Google 0 w9 A/ D: Z9 `7 e9 A + I: j" G! {9 {$ P% |& J$ eover-arching philosophy? 5 |+ W0 X2 `4 t! R# Y . z& {- [, b' @* @: h* Y3 l' e) s9 ? V5 ^! L* n( K7 S
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A) "I'm feeling lucky" * h8 @6 P! |3 ?0 m( E& Q0 y) y# K m
B) "Don't be evil"3 y0 S* s' k0 l# b; z/ u
" k% x$ K: y. D: k' qC) "Oh, I already fixed that" 5 w: Q+ Q- M, i# R3 I4 t9 T& H1 h/ Z8 {- H A4 K `
D) "You should never be more than " u" {+ u7 L" a9 W6 y- c" } : h# }2 A4 ~; ?- X" Y) T4 i50 feet from food"5 s; r% e$ H4 }3 y
# `! v; Y& v$ t& V9 k+ @6 D0 pE) All of the above $ D2 }( c) N& N9 _% u6 w" L3 v( C. |1 a$ v
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8. How many different ways can you color an ! U& [+ s! X' s$ i P, o* h- W. V3 k" Q ^0 e; y6 T# O, f0 t) D6 h I2 b
icosahedron with one of three colors on* C6 Y6 }1 [8 g7 l4 H8 A! [7 M
B( Y3 b+ t2 T) T
each face? : o5 t/ v5 ^% N, Q 3 g8 j% |: p' |0 c 5 |' b; g) N$ g& p9 R2 [, g % z7 {5 c7 U6 {7 ]6 F6 z! oWhat colors would you choose? 0 r& b) I* g/ l+ C0 s' y , b S5 T) X. z4 U $ I8 r" p4 H# ~$ G ! f! l: X( {$ I: t* B2 X7 d, Q9 @9. This space left intentionally blank. Please fill it9 | N8 ]4 H {: E: A* x
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with something that improves upon emptiness.) N2 X5 Y5 ~6 W% T
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9 U0 ~& f; m% G' j9 B$ g+ s2 D3 P10.On an infinite, two-dimensional, rectangular 2 Y2 f$ `; D3 A4 L1 z7 F. f: y9 u3 S9 d9 R- G* F- A: F$ P7 e N9 E2 P6 ~
lattice of 1-ohm resistors, what is the + o1 v1 W$ c* P" c2 @5 A8 w1 M. i) x; ~# H+ [
resistance between two nodes that are a 9 @' N/ W4 ~- J2 ~6 n p2 d+ F& A" v+ v% _$ t) X8 n7 K
knight's move away? j5 ? D- n' H
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11.It's 2 PM on a sunny Sunday afternoon in the) N3 s S- D5 C) Z8 Q, I9 A
. d- E) ~# d2 U; ~$ ~- X' b6 WBay Area. You're minutes from the Pacific ' p4 w: L9 d2 a0 Z" g n/ @9 j4 R) y6 ], j! C/ s
Ocean, redwood forest hiking trails and world6 g5 n( |0 {" p- J# r2 a a- \
3 [2 L3 s5 R$ x+ ?class cultural attractions. What do you do?9 x( i) d+ C, M6 x
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12.In your opinion, what is the most beautiful # ]% Y2 l$ R6 f# p( S/ d/ J" C8 `( {$ X; Q( t4 |; _
math equation ever derived?$ R; d, W$ a" x( A; x
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8 Z: J/ _0 ~* W: ~ : P! D5 o; u! F# i" ]8 S13. Which of the following is NOT an actual U* z x7 `" v) R 4 g8 ^( |4 i( x1 d& t3 p- T1 Qinterest group formed by Google employees? 6 L; M8 M8 {0 J: n/ v, H5 d- d: ]6 |. `9 R
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A. Women's basketball - j/ r, Y9 w; f0 e: y) E/ L2 |$ Z O" \! o2 r
B. Buffy fans! V! Q- g& Z% T; s8 k0 Q: f% N
/ ?8 A1 \( T- ?D. Nobel winners & ?3 h) c4 m1 T% M/ K& }" x: T% f" h+ T( |/ Z0 }# b
E. Wine club E) F) e& X9 X; t; X& h& f$ w
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) V9 T) E, r; z& e* G14.What will be the next great improvement in ( S* h( {) O+ e: Y* o! r% ^3 N9 } z* R( I3 X3 t2 Esearch technology?! k: t' _+ {. p
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% {+ C7 S1 b6 ^, X2 U( P/ I15.What is the optimal size of a project team,- b- |: ^+ ?4 F, L
& X3 ]9 l, Z8 b; ?1 Fabove which additional members do not/ ?5 N/ C+ E. Z& F
+ ^, ?! V+ y: N( s) O" Wcontribute productivity equivalent to the 4 _# ~! x/ s5 k' N + T6 L0 i9 y* x( m1 Q, hpercentage increase in the staff size? 9 m, _9 m/ s% c; f/ D5 N) T; u# h6 j; U& Z! ~' y+ }" ^: @6 f+ d) Q
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B) 3 / _$ W! ?& ]6 l# @3 ` " w5 E9 Q7 D0 U; u! ]# QC) 5 1 d2 y$ C; k1 u6 m' O % {/ C. z* b5 UD) 11 : h4 d2 r/ ~. Y& m% | : `4 T' Y% M: q7 RE) 24 ( B+ \% |; o- J6 |1 w; b' l' P" }! X* S4 [7 ]. Z
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16.Given a triangle ABC, how would you use only, ?) Y" N$ Q8 Q {1 `* Q
) V1 K' d- ^; ~! ]a compass and straight edge to find a point P & U# q$ {& m5 o s, o, P: Y; s- [* O9 b- s& U; x
such that triangles ABP, ACP and BCP have 4 h2 c7 M2 H9 [- n2 I1 e: O0 Y3 l
equal perimeters? (Assume that ABC is; j N, h' s. l# s8 q
& I7 O& A" a S C: m: y kconstructed so that a solution does exist.)) f' A: |+ b4 S5 J
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2 @1 d. {$ ]. S) _5 s* |4 P17.Consider a function which, for a given whole 6 u7 f% N- S0 {( z, W0 p( j4 ]$ `
number n, returns the number of ones required ) Y% [; n; [ O. _& I" @ 6 |# ]8 F# K9 R9 D, S5 N; S7 B+ ywhen writing out all numbers between 0 and n.* E& Y. ]& Q% }' B& E, K7 p
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For example, f(13)=6. Notice that f(1)=1. What . p* T: z9 h x9 l$ U \* i ; S$ E! m T+ j2 k$ ^9 Bis the next largest n such that f(n)=n? " a; ]: Z% K# v( o- ^5 _0 t) T$ G" M+ f
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18.What's the coolest hack you've ever written? # a- k7 q/ x. N, q, R. I" M. Q7 E: ^
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: c" C/ |0 \# s19.'Tis known in refined company, that choosing # @( k2 i8 E: H1 B) o, _' Y3 I 4 h( d8 I$ L" t: V) c7 lK things out of N can be done in ways as & u3 f8 T7 A- v5 N _8 g, A & e3 K2 g H- R7 Xmany as choosing N minus K from N: I pick K,: G: _% x& n9 ?( `
! ? A0 H4 r8 [; {, h4 Cyou the remaining.3 b/ m8 |' g# E' U& I K
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7 r$ r7 X T) e( C$ N( E+ }; l# D( W
( o* v4 F6 J( ]* L# p5 k4 H* vFind though a cooler bijection, where you show; D2 t4 D; z( ^1 m. E0 T6 _
$ Z$ p) U5 g; g3 A$ V$ _
a knack uncanny, of making your choices contain 6 ]4 T: F7 H: S2 D" R: N/ W 9 Z: q, K$ p' `all K of mine. Oh, for pedantry: let K be no more7 H! q/ O& p7 ?& r
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than half N. ! r/ t( O8 D, ?" O* T& I " f/ ~8 v* u9 T# P+ B) M m0 }) k$ v: j- N7 d
2 ]) C) w; ^3 X4 w20.What number comes next in the sequence:# Y' ^3 J$ C6 E7 G" o1 n2 D% _
1 g" |3 d, X5 |$ Z3 E% O* [10, 9, 60, 90, 70, 66,? + m7 a; r) u) m$ ~$ Z3 V! K) Q* J. b
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5 _% g4 c u' {0 e
A)96- z- z' q" W) u* @# p5 O
6 F0 r ?* g5 JB) 1000000000000000000000000000000000% j2 g2 b) w3 Y! b
' g5 k+ { _$ |C) Either of the above9 `- E' l0 o5 {2 w q
) T2 C6 [9 J3 H1 g* s- BD) None of the above* G c: S# u0 A
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* e3 H6 k+ p* v# H21.In 29 words or fewer, describe what you 6 }2 t7 T8 h3 q l% V. `9 R# X 6 q6 v: h* V2 }3 L$ z' w7 Ywould strive to accomplish if you worked " D% T* C1 W1 Y" b, w9 j( i& s; b2 \' }4 }
at Google Labs.