1. Solve this cryptic equation, realizing of % x2 i5 ]# S# g& l7 k 3 q' _2 G+ z7 ?* p8 i7 N: C5 wcourse that values for M and E could be . E+ K3 w% Q# F Q% A1 f ) L) z+ ^ h' v9 Xinterchanged. No leading zeros are allowed. U( c7 x6 U8 ?2 P4 Z5 z Z0 V
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3 D" B; d( N* B5 gWWWDOT - GOOGLE = DOTCOM: ]- L& W: ?& l
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2. Write a haiku describing possible methods1 F: ?' C, M! \( x! e
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for predicting search traffic seasonality.' k2 U8 q' |% {. v" x; W& y" v
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* \% y: ^& l0 [, o$ KWhat is the next line?/ D2 R& v/ W9 h, t) L) D
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' N R, C/ q$ V& `4. You are in a maze of twisty little passages, # B% E" t& J, o ; W0 T) x1 r4 Hall alike. There is a dusty laptop here with a ! G. [5 e( a* ]! v9 R% S - e8 H6 a3 _1 ^weak wireless connection. There are dull, ' v/ L( w) x; ^" ]$ V u f }2 P3 h, d2 T8 Blifeless gnomes strolling about. What dost8 Z( Q& t! T: L6 n
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A) Wander aimlessly, bumping into1 C) Z9 G1 t7 O# O
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obstacles until you are eaten by a grue. ; e7 L2 b$ Q, j$ K% P" z S y# H, V
B) Use the laptop as a digging device to l" A% U! R6 Q4 c+ f" I# j. D
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tunnel to the next level. % x# u) z+ g* F8 u# F' o' d$ {9 N7 s3 t2 d! v: V
C) Play MPoRPG until the battery dies # {* W0 T6 K" a3 ^7 s5 a4 p- u ' K9 O+ b; O4 B( I# V; Halong with your hopes.* t t3 v0 {* e- L
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D) Use the computer to map the nodes 5 v7 e5 j9 V! J1 A) x( n3 ^+ H" E. D3 k, {& [2 A
of the maze and discover an exit path. / Z8 K8 `1 u! q: u+ N5 l+ |1 j/ R& V0 ^, S7 n3 ~
E) Email your resume to Google, tell the. k% x' \* w& Z3 y+ f
; @: ?' N: C) t. o( E" a0 Klead gnome you quit and find yourself 9 Q2 g% E# O2 \( G; a- V0 |8 R" [4 J5 N- e/ z$ U( \* m: W Z4 @
in whole different world.1 y% e1 X" Y& v! y2 G% F( t g
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/ v3 ?) x3 M0 f/ p8 w. ]5. What's broken with Unix? 8 Y3 O) H/ ~& E9 `1 q, l + ~+ W4 T0 P( b! l1 b. gHow would you fix it? 1 P( n# D9 x2 z! @' G3 f& r ( F) Y; U1 D/ |& v( c" v# J8 X a: z: X H5 O3 e
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6. On your first day at Google, you discover ' C' I& u( I% k5 b- i, M+ g) |& d: k* G1 R3 ]$ ]0 a
that your cubicle mate wrote the textbook % j0 \' ^, H- [% k 5 n/ z6 E0 e0 q2 s% C Myou used as a primary resource in your first' g! h7 }2 X1 d. D! K% ~
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year of graduate school. Do you: # a+ P! ]& h" c! I/ d# f+ R* e 6 ]8 n, Y" M$ W: O% P3 A# {, Q; h ! P% B+ R' v; w) ^# B0 d9 W) h4 X& U& D" c' P2 P
A) Fawn obsequiously and ask if you ) M- H, X1 A8 F/ b* I$ m 1 n9 t4 _/ O: W5 {& M: \6 ?can have an autograph. ) d+ |" R; w- ~! @& ]' s4 _2 O% Q3 d" |1 |9 E8 N
B) Sit perfectly still and use only soft+ ~: q9 H: g2 ]5 V) x
9 f# F% S$ ?4 S/ E) P. j- wkeystrokes to avoid disturbing her% F8 f& T; f- f, O
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concentration. - Z3 _: x) ]! \% c( n; q8 R2 K 5 p0 y4 {! E( OC) Leave her daily offerings of granola. x4 s8 k* Z/ _
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and English toffee from the food bins. ; f: m' S2 l9 J0 q( W" T( u, Z6 p0 L% N: n Q
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8 L8 t8 u/ D! yD) Quote your favorite formula from the 6 I; p9 l8 r/ H/ ?; s, {; [/ ?
textbook and explain how it's now# u, O0 v2 }0 v9 v
I$ Q9 }% ^8 ]8 ]your mantra.8 Y. P" F G0 u5 Y" Q
) J+ S$ b; M) m0 I8 f; t) aE) Show her how example 17b could( U) Z, I: [" k7 {
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have been solved with 34 fewer lines. H$ ?7 w( n$ \0 K
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of code.) _6 D/ p' a# B+ q+ ?* w6 a
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7. Which of the following expresses Google: b6 \7 A, d( I4 D& r- v
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over-arching philosophy? ' z7 `3 `* P9 } % _+ L5 O8 V4 `) A; V, G& r/ ~5 Q- \
. n; p6 n( z vA) "I'm feeling lucky" , b% P& [% [, O8 p! W$ [; o. @- D. k+ P; B \
B) "Don't be evil"! O. [! D8 H$ @: k3 W
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C) "Oh, I already fixed that"( V$ P4 A- A& V2 c
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D) "You should never be more than 6 s3 P0 G% `6 y! |7 ~2 A3 v! j. J% s M2 }
50 feet from food") u1 z5 [- W6 Q2 c( v, e
6 X( W. G# V, y6 n3 X$ _4 T: S4 r4 b IE) All of the above 8 Q, S% X. p$ ~5 a+ p ( M5 c0 Y' O9 X$ [ 1 V* |/ T/ M2 v" B f" p; y+ M5 e; T+ H( s7 [
8. How many different ways can you color an & d, Y2 J. E+ I0 ~. }% x 9 ]; o: R7 _; t3 | Y- W" Y Nicosahedron with one of three colors on# E5 ^) w: I9 H3 a0 L
" F: n3 p* L3 _4 `/ c6 u4 n' mWhat colors would you choose?4 O0 O0 G' V- h& h) R6 A6 T
1 b0 P( B' j5 H5 G7 M7 Q$ c3 @ 4 A8 @8 z& r' x; D9 y / u- I( ?; N1 V! x8 b. s9. This space left intentionally blank. Please fill it : i: z" R5 T. v5 i& R; A, E / i1 J; _4 s; L Rwith something that improves upon emptiness.2 n' k9 z- t# k) B& {: Q
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10.On an infinite, two-dimensional, rectangular & Y J" k" L9 `% @: F/ f) a X$ G" }; ^; ^) k( R' v
lattice of 1-ohm resistors, what is the 6 B) G/ p. K3 R. |" }- ?& z8 S - {7 C% B$ q' a9 b4 Dresistance between two nodes that are a2 `4 k* X! r! @& z2 _0 c7 r. h5 G6 R) H0 h
$ k" l" P+ o0 m& I* e& l: x# pknight's move away? + U0 c9 J# A, B) G! n. H6 ?9 W7 n/ G& f5 ]2 y; n+ ]# M
- e' X/ s/ s D( c! s , |$ H. W: \$ N1 U" c- [11.It's 2 PM on a sunny Sunday afternoon in the( o1 Y- s- I* h! }
8 g, F H6 k9 B, Q( vBay Area. You're minutes from the Pacific: C+ m2 i1 Y8 d2 U$ t' c G% d
& |* D; d& U7 w+ r P( ~Ocean, redwood forest hiking trails and world - o! @* Q+ q& p j, |6 s+ [" d/ H$ E
class cultural attractions. What do you do?# w& E7 G6 N2 B4 G
- V4 \% _4 A0 H- x" | p 5 u$ j" ~1 z7 w , e% v5 o: |* \. ~ s12.In your opinion, what is the most beautiful7 O: r) _$ y$ i
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math equation ever derived? 0 T5 Q# X! i S Y! w5 Q" C/ z ; K# |1 z G/ a" c3 V, R' J & _" H9 U. |* Q13. Which of the following is NOT an actual ' _, X& J! J9 Q, ^) ]1 b5 C# @ H, z2 J# O7 y0 O7 G5 y
interest group formed by Google employees?* A- f: t* w) e6 V! d9 v
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/ ^" ?5 X. i) I; U1 \A. Women's basketball0 l5 n7 B' [2 c" c' L' [
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B. Buffy fans/ G" v* L1 Y; l* S0 K: A& z! Y) ^
3 E4 J7 r0 f% @4 l' P2 r1 |D. Nobel winners , s0 L& ]" l. g1 {5 p `, X: ]3 B# I, H1 H7 J6 T+ GE. Wine club3 s5 @" ?# C8 R* I( k0 ]% u
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. E* x5 N; l0 _14.What will be the next great improvement in. h) D' N3 C: V1 ?8 x ]" Y( ]
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search technology?+ g: Q- U5 p' Z: j2 n& l
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15.What is the optimal size of a project team,: J' X8 U2 `# P4 V) z2 M9 H
% T* ]/ t+ q. j' z; t6 ~above which additional members do not 9 j( t6 F; ~4 k% @. a4 W7 O 8 a: X6 t) }& ~' _! ncontribute productivity equivalent to the9 ?3 J& s0 R( ~0 d# |* z1 G
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percentage increase in the staff size? 1 o0 \$ e; e$ J0 b$ W. E4 v- o. D h' z: ^) u! B5 I' n* v: NA) 1 , _; i. r1 M4 o m* o: v4 E% V( h ; _- i' `! b. z* oB) 3 4 a3 V0 m6 v& O ' g8 c# n, O1 a- S3 @C) 5: H1 n6 F0 F* A) B$ N- s
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D) 11 , R/ i7 D! p9 w$ |3 C$ J% J6 w& ~/ s3 y5 U8 j
E) 248 n/ v! l3 H( o) d
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6 m+ a5 R) E5 i2 r2 T' r 1 `6 P. p) v% r0 L, P16.Given a triangle ABC, how would you use only ) R- j6 P1 r2 q6 d, M# |5 z6 S1 T. N9 Z7 N C9 R; L/ p, ?
a compass and straight edge to find a point P # f: q7 g# I5 S- _9 a7 f+ F3 a& d. V1 s# ~
such that triangles ABP, ACP and BCP have& J1 ]; y8 |& R! r8 }
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equal perimeters? (Assume that ABC is8 ~4 y, c# V* g/ O. X3 [
8 p5 _0 r& M; n3 T" Jconstructed so that a solution does exist.) & ` x( ]+ }. E% r0 o9 J; ?. x. `- V8 G# y7 |. c: D" M
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) m7 `! @2 y5 e, X' z5 V17.Consider a function which, for a given whole |- I' c- c$ x3 x - {" W- N3 ^1 }number n, returns the number of ones required7 j6 b9 ~6 ~ u5 ?) o+ r' @1 Z
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when writing out all numbers between 0 and n.1 G' {& y: c7 o9 L' [
! z1 a: L* X% }9 ?* W8 d9 ~For example, f(13)=6. Notice that f(1)=1. What {0 n; W P" i- Z& {6 I7 l% r& x# r% w! y
is the next largest n such that f(n)=n? " W, I4 L7 j5 p( T' x \% _! i9 _! t# D/ A9 j! H* j& h% X3 Q4 D8 Q
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18.What's the coolest hack you've ever written?0 e i' M. ~7 Q1 J) {6 C& }9 e
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6 j+ w' A% K- A0 B' w6 D B ( a. _0 ~- m, X9 C9 L7 d( ^% N19.'Tis known in refined company, that choosing8 H3 D7 B/ v% n7 |
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K things out of N can be done in ways as 5 h+ W- b5 S" Q! b8 c* t1 }7 P: Y- J- H) B2 M( R
many as choosing N minus K from N: I pick K,$ g9 J( E7 j2 @. F% p. B
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you the remaining. " w! q$ e2 J- _9 R9 y7 M0 x" g( f1 P6 \( C" G. R
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Find though a cooler bijection, where you show% n5 z9 N, m) Y7 ?! h9 F( B1 c5 t
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a knack uncanny, of making your choices contain' a, Q7 n [: U% j9 {
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all K of mine. Oh, for pedantry: let K be no more 1 ]: ^, L9 x1 y$ c& m& j 3 i$ Q8 Y$ F) r, e* c, g4 Uthan half N.4 r. J$ p1 \% d2 q& F* N( L k9 Q
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20.What number comes next in the sequence:# Q' F, p. Z% H% {3 d1 M h
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10, 9, 60, 90, 70, 66,?" U) A7 X ~0 e1 C
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9 M* A+ \, m0 {1 c' E8 T! V. yA)96 8 E$ |! p& u3 b; j6 A& b, X t& Y2 E1 A. O$ r! G4 _
B) 1000000000000000000000000000000000* o; Y& e8 C% o- C- h
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0000000000000000000000000000000000; b! w7 @" F( b) Q* b
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000000000000000000000000000000000 8 B5 V \: j4 u: x' ^* T2 X4 O Z6 O - ~" y( W# {# t2 l( I: e* ZC) Either of the above / @: j' Q. n- X9 c3 y& q+ q - o4 H* H6 ^! [. }6 a) t' o9 p/ }D) None of the above4 |: H" U: _ t8 H+ a3 f) q
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21.In 29 words or fewer, describe what you1 l% w+ [$ C' [. b. U
. @1 V/ e' x3 P- K( c! `8 L% X8 Y: bwould strive to accomplish if you worked 3 N" p" _! F# s! \6 I/ F) S7 H+ K
at Google Labs.