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What is the next line? 3 C" o- @! A k, t, k+ w6 p& Z8 h: R$ L1 E/ J# k
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4. You are in a maze of twisty little passages, 0 `- S! \' e4 @. @- V: {1 V$ j, j# [, \3 l; C
all alike. There is a dusty laptop here with a + d: H6 j6 q% z% D y- t& D% J % | {- T0 c3 y6 jweak wireless connection. There are dull,! j/ {" {& k) m
* l( ] @7 M5 b3 ulifeless gnomes strolling about. What dost $ }0 z2 V$ T8 X. n% @4 I$ F( w 8 D1 k: u) S& z1 O- s# R( ~# Zthou do? ]* e, n8 V/ Y C/ z0 @2 }' c
, t7 l/ B3 h8 {0 q0 t 9 f: W; `% v K+ [! k/ ^; g1 J5 I) l& N- g( a
A) Wander aimlessly, bumping into ! F' W( I2 P8 u* m1 `4 r4 ]' D' ^* C' W$ N5 v) @# y% i- h
obstacles until you are eaten by a grue. + y" D7 j" ]% e" y# Z. V# o % B/ v8 E9 [+ {; ~3 f4 ^B) Use the laptop as a digging device to( Q4 e5 L, M7 [3 C
* y1 K4 o: M( t8 m, R% Q( \" I) Wtunnel to the next level. 4 N/ T; m" G1 ~3 B9 U! {# v - l% f9 S6 x- F' ?3 D% [C) Play MPoRPG until the battery dies. G9 u$ T& L; O! f# C
) Z; x! G2 t7 H. e' kalong with your hopes.% b: n7 a' q9 W" m O. Q( V- h+ R }
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D) Use the computer to map the nodes; s* R$ }* t' z" H
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of the maze and discover an exit path.5 Y/ u( u5 c# L. \: U/ g4 A6 t
; T5 V C7 w* D9 b4 g, JE) Email your resume to Google, tell the! m, O& A/ `2 q$ v2 W' p0 k
$ C1 p0 S4 \; f! L( b. Mlead gnome you quit and find yourself ( }. m7 l4 U: @' B( J8 b: l! ]' a, ~2 [% q/ O/ X% \0 `. H
in whole different world. 5 F V/ g& M- Z! r$ h& P$ ^! _9 J5 z. t8 w/ c) y" r3 ?
; o7 A$ H8 l' a
$ z z4 l) a, `( F0 M8 ^6 m9 l5. What's broken with Unix?- A$ n% I. S# L8 k' S
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How would you fix it? 0 C9 G2 v6 H# U8 {8 c7 u P l% c% t" t
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6. On your first day at Google, you discover + x. g2 W, |# C3 z4 H9 [/ x 1 { X- x( B5 |4 G" Uthat your cubicle mate wrote the textbook* j) `9 O* b3 W# w h# A0 e5 f
' E$ U! c5 z; z' c4 i" ~you used as a primary resource in your first 0 S* F O, J/ e! M3 I * [8 I& F6 P3 l+ u1 f' vyear of graduate school. Do you: : `2 N2 B7 @! h ' g) [+ @ u* U+ R 9 C3 J9 c- l! `( x; J, _: G3 L6 g" c% S5 N3 P0 K: r
A) Fawn obsequiously and ask if you 4 L: H( I2 k. U, h N) o4 W* ?, q9 K% `4 A* q5 ~# O" L$ T9 h
can have an autograph.8 ~( w& I7 j. X, `) x* ~3 }& R
( y/ J- Z+ B+ @B) Sit perfectly still and use only soft: z7 N- X/ c) c3 @4 G* y# o
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keystrokes to avoid disturbing her( y- \# [/ W; b6 q- ]6 ^
5 W0 q, f, x& U7 v" m+ I& b3 Mconcentration.' n) a2 o, ~/ G. Z: I
! M. O$ b9 K6 ^$ d; dC) Leave her daily offerings of granola U% I7 a G( `% O ' I& K T% }+ |3 H8 {and English toffee from the food bins. 6 C6 O3 K. I/ D4 o+ @: z& O9 U9 L2 i1 {
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D) Quote your favorite formula from the8 a0 [9 a$ b7 F! R# a& j9 E
" |. M9 \$ x) t6 D9 h* g7 ^ }1 Utextbook and explain how it's now ) P ]+ ^3 J- W$ ^3 V$ \0 q; p, V- b6 p, g+ u
your mantra.$ x* ^. N: |1 M2 b: N9 V9 A
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E) Show her how example 17b could8 Y& F- l" O" U2 S3 i! `# K
6 G, M) L: W( ohave been solved with 34 fewer lines' X$ _: X0 z7 R! N0 N$ m
8 g1 c0 j8 C4 L. \# U/ ^0 m
of code. $ S4 Z" p2 S; B x' W% w- \% I' v* T1 Y* q
7. Which of the following expresses Google7 k3 n. x. h! ?' }3 ]7 z
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over-arching philosophy?( y2 B |: \, G) y
* \! I) {4 E- ]& a4 Z ; S. r" |, t+ Z ' V' D+ E: R0 r; `- @ PA) "I'm feeling lucky" 7 e3 l2 B3 W% F! [$ s7 c+ c6 Z1 u% D7 i
B) "Don't be evil"1 W( I7 g. Y* V5 [# Y
- \. g4 Q, q7 w" {C) "Oh, I already fixed that" , K, S( h, Z; W1 L$ u& ]* [9 h a 9 F( u! z4 J, O; pD) "You should never be more than " I" J0 f* Y, g5 {# R3 L! s+ | 7 ?: E" o- ?) q7 @8 Y* f50 feet from food" . R* B; J5 h! i4 O7 c# H" }" h i2 y$ d& q& U
E) All of the above% L- c/ F. t( I* Y
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8. How many different ways can you color an & \4 t4 Y: b3 q: t5 X* I' h6 }$ |6 m" V( y9 E4 T/ e
icosahedron with one of three colors on " A- ~) E: ~) T: e/ x6 C j5 b* e" L f; Weach face? " F9 N& `1 Y5 U2 u f" y* K3 b V I. t3 h" N; B
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What colors would you choose?* o4 k5 C7 w- F( X: k
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$ n2 L% x6 @5 n/ Y/ C $ w4 V6 D& t* Y' a9. This space left intentionally blank. Please fill it4 N3 y3 f! u+ X `+ K5 T; w
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with something that improves upon emptiness. , _8 F* @& F' ]: d r- U 9 a& J! a4 N ?+ i. @. `: _6 X3 c4 d6 t' G4 Z4 D
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10.On an infinite, two-dimensional, rectangular$ {$ Y7 }0 J* A& s2 c l; ]% l) K. q5 f
2 [2 f2 N" J" v2 m) Qlattice of 1-ohm resistors, what is the% \1 L% \; v4 ?$ ^
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resistance between two nodes that are a J3 Z9 \$ z2 A; q
9 B2 S: L0 F' U2 |* Xknight's move away?$ O5 R1 C7 {: f$ R, U# H6 X
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a0 D, h# [0 T
11.It's 2 PM on a sunny Sunday afternoon in the( K* X; Y& z* C }
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Bay Area. You're minutes from the Pacific # e# T" D$ g" P8 x 5 e1 z7 Z( O/ `! N, NOcean, redwood forest hiking trails and world 5 P8 Q1 d6 ?5 I8 L7 K , }( G( Q H7 U# wclass cultural attractions. What do you do?5 m' f6 H U* Q5 g) Y# v3 t
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12.In your opinion, what is the most beautiful2 {; F- e' B0 |* l8 x
- y& f% u( A# gmath equation ever derived?& q- W/ G, d; q; e, O: d0 K. [# p
8 L2 l5 k/ o5 P+ n $ s; T; ?% [ c+ n 6 Q$ x* a0 A. [13. Which of the following is NOT an actual 6 @- ]4 R8 s! b2 J g( ? 3 q) d: l3 M# @ X8 ?interest group formed by Google employees? 0 }# ?. Q6 ^& D$ `& s& ^' M. B0 Y$ ^' ?' D4 H
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A. Women's basketball V: ^' R0 s8 U6 B$ c! d' O9 z: z+ r6 `, g" z; ~% X) E" f7 s. `! @1 Z
B. Buffy fans 0 w* O7 ?$ d* g* b& o |% c% }5 T; d6 ~, E% UC. Cricketeers 5 l( N- P1 m/ Z m 6 p% J7 M& }, L% h6 fD. Nobel winners ( c# t& F: i- Y# x 0 t* L" s" g) e1 e; h+ kE. Wine club! J, P: v- W2 z6 T( P4 y
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14.What will be the next great improvement in( A( y: a+ {$ V/ v$ T3 ]
: p& B+ p$ m5 @* m7 J $ g7 g9 E# u/ b15.What is the optimal size of a project team, , ^, o9 A3 u* e' J m7 Z$ k/ Q. p5 e2 S
above which additional members do not 6 v; g' g) T4 l* X* Z# \# E- U8 r3 g4 _" J, q6 k4 m
contribute productivity equivalent to the 0 L5 e: v0 d+ q& I" j( L; ] 3 p9 S% y" H0 ?+ ?percentage increase in the staff size?1 O5 C) K$ U; Q" n f
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A) 1 # c- ?* s: s3 h$ l! q% S1 |' d n* t4 q' _! n
B) 3% k: g2 j3 _5 Z1 l, s( W
5 E, B5 I; {4 a; K9 P& p
C) 53 k7 S. v# m2 Y; h- u# j6 [
4 i1 a: w1 ^$ ?; J2 s0 Q5 mD) 11 # g1 n0 h- l7 k8 r$ y) W1 J2 K6 O2 G/ _( o) ^8 t3 d- J( {2 y
E) 24 2 {! _1 S: H% u& }+ I! ]( N1 L' h8 ?5 R& T0 E
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16.Given a triangle ABC, how would you use only - [# }4 `( \8 ~# c+ x1 ~3 ^9 H; L# A% U5 p/ w0 c9 n, Q; _5 p2 U P+ U9 c
a compass and straight edge to find a point P , J$ h& Q# c9 r5 h Z" S/ q' T 5 r* U0 f2 N( F! D0 ksuch that triangles ABP, ACP and BCP have, W# ]& g2 D0 [+ Z1 o, ~; x/ T; ?& W* V' r
! t7 {" \/ _5 Z9 B
equal perimeters? (Assume that ABC is Z/ b$ v( `/ `4 P7 p ! h& T {5 E' l1 Hconstructed so that a solution does exist.)6 Z# ]- U( Q# z$ y x" ~
2 ~& D+ O. c+ h% K6 X- D2 [ # q" \/ m+ ?. d8 h' r! ?0 x' c- J/ C, \7 Z
17.Consider a function which, for a given whole* U0 W, p) R2 n' v+ @) H
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number n, returns the number of ones required 7 u: L3 S8 m4 O7 J- a. k% E) _3 p+ b: {* h/ L# N3 Z1 }6 t1 _
when writing out all numbers between 0 and n. 8 j. T! m# a6 f: v1 q, C$ }) N: Q9 O4 g" T; |3 W% V$ j1 U
For example, f(13)=6. Notice that f(1)=1. What - Z2 a8 A, @% V. n, h+ F! ] T" O3 n# u8 |% |2 Q' B0 N5 j
is the next largest n such that f(n)=n?' T% ~3 R( l3 M5 G/ J
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18.What's the coolest hack you've ever written?: C; v9 S! P9 s+ C; J
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9 `0 M0 h( n# j9 e19.'Tis known in refined company, that choosing7 A) q X5 w- i) A, b
! |9 k% k9 @* N
K things out of N can be done in ways as" _% N5 t& e0 D% R% t
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many as choosing N minus K from N: I pick K, # b6 _$ h; k4 n7 v. x; }: X, k$ ?3 ]- x9 r
you the remaining.. o2 O, Z4 _- W) [/ e* R
/ E+ `1 p$ Z: y; X# I9 _ 0 a3 |% ]* Q) c' O) ` 4 u6 y3 Z5 s7 J; H0 @$ Y. oFind though a cooler bijection, where you show% I" p3 X. _6 f, r! I1 u
+ w3 v- ^4 P4 ?3 |
a knack uncanny, of making your choices contain 2 i" m$ h$ w* Y& x; o3 S+ U. r6 n' W$ A5 Q6 \
all K of mine. Oh, for pedantry: let K be no more& `2 X" O4 ? h; o3 ~, v
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than half N. / J Q! B% x7 _7 H/ Q7 X5 x3 x3 G / W! b+ r9 b9 I& s& T% O0 H9 O2 M% y8 t# S* T' M5 [8 }
+ J1 k1 f" P9 t! s+ L20.What number comes next in the sequence: - j7 g* F# i/ I, P: n; F% i2 M$ j9 g; E- V A& J5 l
10, 9, 60, 90, 70, 66,? . m$ A2 |% c4 U; m6 ^% H; s1 I B" G0 \1 i' g7 D
& o ]( u: ~- o: `5 o4 N4 x : \2 t+ V4 {: u6 D0 ?- NA)96& i2 p1 r0 D8 i
6 g k2 D$ X3 h5 T% T
B) 1000000000000000000000000000000000# l' E+ N, ~0 b) K/ O& Z! V8 \
% h# K# Y# u( ] y
0000000000000000000000000000000000, H/ f# `; j n; l- y( o: S