7 K e& _* ?3 B0 vcourse that values for M and E could be5 A' S5 N) r( D2 a4 |
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interchanged. No leading zeros are allowed. 3 _+ T Q; w9 u# H* \ v P' J- c; s3 _4 P3 D
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WWWDOT - GOOGLE = DOTCOM- f I' l9 X; i) w# H5 c
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+ `1 F4 Z; Q3 C7 ~/ B- @, w( H 5 p- R/ d8 |0 o/ D3 Z9 d: V2. Write a haiku describing possible methods; y A1 X- O+ u( d7 |8 ^8 p9 I
+ y, n/ P! r5 I3 ^3 h1 1 1 2 2 1 1 f. t0 k. ] Q! ]; _( Y; n: M3 x! y! t: t- D' D- z2 ]
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; h$ r- k9 [( @+ Y7 n6 @( S% E+ v. ]0 CWhat is the next line?* R2 z, ?2 i% }
: O/ z/ d) M" C5 L, R( L4 S0 A z 2 R K! i. H& m * F) F9 |' I4 H7 M/ V4. You are in a maze of twisty little passages, : M: [+ B5 g4 Z& I O 4 e( P/ {/ H7 g* L* qall alike. There is a dusty laptop here with a b1 u$ W+ c" A% X( R& K7 `5 w$ i% w$ {, q8 H5 U+ f, U
weak wireless connection. There are dull, ' V' I/ s, F7 \$ i- Y 7 F" o7 x3 A; ^lifeless gnomes strolling about. What dost " R! u5 q+ F$ p3 F1 I3 ^ $ F# [+ G0 U0 Bthou do?; H" e0 E* \) ^' ~. r
( H% X2 _0 X4 E0 w4 [- X# z' B4 r; v J& F, x
" n+ G7 Q; Z8 m; f% ?A) Wander aimlessly, bumping into 0 J7 T/ S. R3 Q3 v, L5 h8 z6 G8 ?9 W/ \% O
obstacles until you are eaten by a grue. 3 `9 \. C% `; U3 D ]0 z* z; C2 [/ }1 k" B5 Z5 }B) Use the laptop as a digging device to V) |( R+ x( x% P5 n
9 P# V% p# o0 N( N9 w! s& `% Ttunnel to the next level.$ v, F2 Q! E' M* y8 ^' J# W) E
. L; L+ N$ y" _6 x: t9 qC) Play MPoRPG until the battery dies. Y* Q3 x5 K8 ~5 i! z b, \
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along with your hopes.4 V% _+ U4 \$ {% R/ z
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D) Use the computer to map the nodes / u) A& U0 E9 M) }; I) C" E+ f) R* G- {( y' L/ L9 C8 |
of the maze and discover an exit path.% A# s' v! m' g. B, ~, R' w {
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E) Email your resume to Google, tell the5 I4 O$ j0 { r9 s+ P
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lead gnome you quit and find yourself* t, l7 c( b& c7 [0 |* v
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in whole different world.$ f* S& s4 m, g% ^: `
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5. What's broken with Unix? 3 i+ ?; O6 c% D4 ?1 J R" _( f$ m; N/ |6 G# U/ k/ ^6 R/ f+ C* R
How would you fix it?. y4 ~2 Z& [; L# N8 d
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6. On your first day at Google, you discover : w5 t! P t( X' Z8 \# d- d, |1 G6 v0 Q& x3 s$ u7 `' b
that your cubicle mate wrote the textbook + N5 d/ P5 v4 T9 r9 @2 o( Z3 s5 E- v! y
you used as a primary resource in your first7 [1 E$ h2 @# W7 H- _7 b3 s
5 i/ w( q4 h k3 M, f. s ; t" r' j2 z$ e$ o/ _+ J$ p. [1 f7 lA) Fawn obsequiously and ask if you: D. p9 |) f3 k
. f) S0 X* b5 Ncan have an autograph.; n" i) w! j4 S& G0 S) w2 f
0 [( Y7 t) O. ^' Y
B) Sit perfectly still and use only soft/ @ s$ ~6 v5 e( E& [
& x- C4 V, P* vkeystrokes to avoid disturbing her! N7 h4 J: k, w" f" i
0 g- J6 ^! H# R: k. Sconcentration. * T( U1 h0 a& z q' d. h' M$ b. Z# Y, F2 r9 O$ Z, X
C) Leave her daily offerings of granola0 f, s: B2 V# ^/ H
% G! w# @7 N$ h! m6 M( L* ?and English toffee from the food bins.3 _$ D# {; _, @
8 z- S$ J8 a* V% N1 n' {2 g" ~ 0 S( b& g5 c! Q/ U5 M0 w5 ], g ( }# G! r. l2 o0 M8 _D) Quote your favorite formula from the- ?+ G8 d: S5 H7 {
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textbook and explain how it's now, D0 ~+ w# T& l. @2 P% k
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your mantra.1 D' E" Q; e* u+ p, T
$ H1 w) H+ \' S: Z/ @5 v9 M: UE) Show her how example 17b could 4 x2 i* U' U! g& ?: r9 S# g! T" o- v% k) e0 M3 Q" m, E
have been solved with 34 fewer lines 4 p0 Y6 y! U$ r7 _; X1 c' h9 F " ?* F6 V$ @; g& W, Z, a8 Xof code., n% ?1 O2 H7 t! A' p
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7. Which of the following expresses Google6 W5 A/ N. m* y2 {. _4 d0 W) {
) D4 ~1 v) n6 Q' ]8 tover-arching philosophy?7 S/ C1 ]+ [! k# u' l
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3 z' R4 X/ r2 d4 T ?6 B- i" e- u7 K; H9 E uA) "I'm feeling lucky"" w: Y9 M. J" ~/ |+ c4 o+ x
8 n: G, k; U6 _& j GB) "Don't be evil" 5 c. h. f9 w$ d* |+ u) Y9 v7 [9 I% B% j; e
C) "Oh, I already fixed that" % W% l' B/ h6 X5 {9 F- T; E8 f' |* K0 a; j& `/ e5 t# K
D) "You should never be more than% n7 B# H/ }! q( u. N% c$ [9 i8 `, i
5 {2 n5 x" D0 r3 Y50 feet from food"/ y/ }4 f6 E: y: k9 W
3 T2 ]: w. W& K& j; [E) All of the above' f6 u* N( T( G% n8 P/ N: q
5 M. f+ C! Q. q( Y * p4 F6 R4 Y! Y2 h' h! H; `, a2 X, z: u) w9 k6 e; N' N
8. How many different ways can you color an) k" j& M3 O, F( a2 S
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icosahedron with one of three colors on . s7 A: C. n; z% p* N4 x- L {4 T! W6 J& P) xeach face? 8 |' `+ W$ U1 ^) `' A+ Z- X" ^/ U. y( R
6 E/ V2 [) c) e2 ~4 r6 n; X# x * o, N9 y+ G6 Q; h* Y4 yWhat colors would you choose? 8 m( O9 m4 G5 Z- h# D& ~+ v : Q2 u# l0 l7 s. V8 q7 e8 Q1 O: y! Q L- x G0 u; e& ]% g
. E. `+ J7 @* Q1 E! [
9. This space left intentionally blank. Please fill it / Q' `2 [% k5 Z1 N1 C4 e) i: {/ k$ ?( y* N0 O# D
with something that improves upon emptiness. n4 L+ e! k) m9 V& _4 b8 F! h9 x |" |3 f5 Q7 H
: ]' \/ e3 e1 o# M5 t) L; S ! C+ n1 S0 v# h, i10.On an infinite, two-dimensional, rectangular }; [! d9 O# D o; b% d0 v* u* O" ^6 z& G* Z2 [9 x
lattice of 1-ohm resistors, what is the 5 t$ ]9 ~: t8 d) l0 s0 N! n- t2 h# Y2 c( f# s3 P5 [! q# r" X
resistance between two nodes that are a 3 q+ }6 f9 @3 O, D& z+ x$ |; O& Y' |
knight's move away?4 m) u6 H. J6 T: o1 l- k
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11.It's 2 PM on a sunny Sunday afternoon in the , E' L; i4 Z- v6 k& N% G( K2 D# I % Y2 q' J \8 y. u) ABay Area. You're minutes from the Pacific ' X4 n2 ^3 ?0 X* X* V n ! l' G3 T. f1 \+ ~, i, q, W; vOcean, redwood forest hiking trails and world2 F, z4 y% g5 w
, I, Z" S7 w4 y6 g4 pclass cultural attractions. What do you do? 1 g7 u, a, k3 Q( d4 ^6 | % f& ? B8 J9 K% g 2 j) U7 n5 q9 I( f+ r- g) |7 e3 u! {0 b6 w7 s& S% h
12.In your opinion, what is the most beautiful ! k3 F( x2 t. w6 Y; j" `& V 1 }- Y0 b1 M( u! d7 Ymath equation ever derived? ' d7 G& v# R* }# l4 J1 Z $ \- K! w3 o4 L% T & [) b1 j {/ H& Z/ [* U7 R! x2 R, e
13. Which of the following is NOT an actual ( d4 X( `" x( M* K4 i) i! [( H/ q# ~- A' a4 ^, t$ o
interest group formed by Google employees?; j/ L, a7 M/ b# y/ L8 J
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A. Women's basketball/ P) I2 U6 }/ c/ o
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B. Buffy fans 5 y) Q! ?& ~) x 7 D7 D7 g+ ?" L! {3 j1 U, y. [ LC. Cricketeers/ V0 `* R; T2 k6 O
3 e6 I8 L: T' F# z9 e$ KD. Nobel winners8 ~$ g/ E2 P. | W" _6 k' }
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E. Wine club; V0 D6 z2 `- ^/ ~" i5 D
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14.What will be the next great improvement in ' d% B) Y4 g" v. A( k4 I) E8 w2 N$ H2 H. A# k. I! z
search technology?- g; U7 p: D7 H) ? t3 j
* W6 n5 k, [# r( u, A6 n- O, k : t* k L% ]( b! e9 f5 U9 S( O7 F8 e1 A# w G% X- I2 m+ x3 @" J
15.What is the optimal size of a project team, ; J' j9 o0 q8 O1 \6 |3 z - [- J6 v5 O5 E1 A2 D# |2 L) {above which additional members do not* l" u, G# }$ L! |7 H! ?( A
. d( X! P% ?+ L. }: ncontribute productivity equivalent to the ! f* a& }" ~/ a3 [ # g( r. z: E2 g+ ?7 D% ppercentage increase in the staff size?, d( j5 S' W: _ K5 \
9 `$ z0 |2 {* `$ M6 r, e9 u# ?A) 1 # c6 O& |: j" q6 Q5 L2 u9 q 6 y. \ i8 }/ p" ?, VB) 31 A5 _ h% B- u9 ~; C- U
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C) 5. }1 J# E* E0 `6 Z
/ U- Y& d' s! b. d! P . ], W o6 W6 ?" d9 u; k$ z16.Given a triangle ABC, how would you use only + w3 s- T* y6 @5 p* R 7 K( l+ X6 z2 R9 D1 b0 j/ Y Ua compass and straight edge to find a point P& ^ D, S. M0 F7 I# Y; y6 s5 A* u
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such that triangles ABP, ACP and BCP have4 }6 L. {: D' F2 v K! g
( m+ s* ^! b( m$ _$ X$ qequal perimeters? (Assume that ABC is 9 B: x2 h7 p) u/ ^ x$ i: i 3 m, [& Q* T3 y4 p1 j# Fconstructed so that a solution does exist.) , h+ ~3 M2 n; E9 z# D5 T& ^8 D0 F% a
4 t+ h% z" U2 V+ T1 N& q
: ]9 \9 p$ t6 g17.Consider a function which, for a given whole ' ]' L8 F( w" G* r# X* ?3 i1 |" s! U( p" t+ y% D
number n, returns the number of ones required 8 _6 I- l+ D4 R5 ?5 t- y1 I5 ]/ n . P$ @( L- K# n; g+ G& xwhen writing out all numbers between 0 and n. * O" \1 w) n" M- [, [& B# G( c# q; f1 a( L6 q( T
For example, f(13)=6. Notice that f(1)=1. What 2 Z& d& c9 ^( F4 e' [ # h1 J& C9 D0 F. Vis the next largest n such that f(n)=n?$ j K0 j. a" \
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18.What's the coolest hack you've ever written? / e+ q3 b; z. r6 u% b% c- o $ X2 C! u7 Y( T- k4 n6 y! Z4 ]+ C, @8 I5 P: T g! g+ l9 n
+ S1 a p- u# M! S19.'Tis known in refined company, that choosing 6 @- q9 N* y1 M" i! A; u ; \; |( x# P1 m- `+ JK things out of N can be done in ways as6 _8 Y0 S9 b! m* y
. G& x7 y9 F! }1 ^, _" Y: s2 M" f
many as choosing N minus K from N: I pick K,$ a' T- p9 A. w; h3 c+ @
. X; F2 I7 P0 t' ryou the remaining. , G5 s( b6 o" k5 T9 Y% E6 e# m. H8 q: K- Y' k4 o
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, `2 {& ]( N1 E3 f6 `, B( rFind though a cooler bijection, where you show8 p/ A9 X* _& [
; M3 v2 O/ X) w, X/ a9 sa knack uncanny, of making your choices contain" A) H, d( f8 A% A+ P
8 t" d. h! w- t" [
all K of mine. Oh, for pedantry: let K be no more / H7 K) {* x/ Y & ^8 `/ j8 D! T. e1 s& ]than half N. ; @: I: C5 A5 m % s2 P1 Y0 r, h' O ! m6 K& }- t1 e * `2 D- U2 H1 g3 `, b! b4 J20.What number comes next in the sequence:! q) t' a& ~% K. M