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发表于 2005-3-5 05:18 |只看该作者 |倒序浏览
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1. Solve this cryptic equation, realizing of
$ ^8 Q. {4 z" y4 m+ K) T. e/ m& E! r0 r0 j+ l
course that values for M and E could be
. x7 R1 A) ?+ i* [& g: {+ g: A( m# T' W( y' a- G
interchanged. No leading zeros are allowed.
+ R  a3 D1 Y& r% N3 q
2 h4 s1 O$ t" b0 e+ E" C) }8 L7 U& H' b/ m3 S: G6 {: U
* X5 ?/ i3 }3 A* ~
WWWDOT - GOOGLE = DOTCOM
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+ O$ f* g& ~3 O" s, _
  S, |4 V" E+ Q+ O5 |6 K/ C
1 e0 I+ I* ~/ A/ f" y) y2. Write a haiku describing possible methods! q6 ^5 e1 p3 w- d

4 Q3 J" g% r& u' Y1 \for predicting search traffic seasonality.
* ~4 u2 `0 M; f3 K) N6 L; w; J/ A4 i; Q- G7 ]8 H. R* K+ H! O& ~

# Q2 H- B# H" H: d- `# p1 z3 F0 Q* g. N
3.
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3 J! @8 Y' J- C% d/ M$ C
1 11 j' L- ~1 n1 J' g

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+ h( ^; f5 P" L  _& c; h  D4 Y) h1 E( {9 F6 l. u* X
1 2 1 1# U/ O: t! Y, G/ A9 p" l+ z2 O8 {" M2 y
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1 1 1 2 2 1
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7 s0 B9 b6 N5 l8 r2 m7 g- t0 M3 ~0 k; n9 G+ x- p) S! c
What is the next line?) \0 g! y$ L; n! A# @
5 V/ w, M# W6 W& c1 {

  O1 o6 C+ [/ t! h8 k" o( x# @& W3 l' ~9 [, \9 }6 C$ p
4. You are in a maze of twisty little passages,
+ [- _) ^' w4 h
  P( h1 F3 C5 p6 M9 F3 X' Gall alike. There is a dusty laptop here with a
3 z  A* p# d9 r9 J* e( p# ]
3 N+ p' ]7 u  x: y% `2 w# Xweak wireless connection. There are dull,! P1 l( m+ r4 H2 f
" w; r5 c) n0 s2 ~# `
lifeless gnomes strolling about. What dost
' W3 P0 |8 f9 z/ e1 N" T! m% j5 H7 D7 O; z
thou do?0 \) W* n9 e( `6 v) N- Q5 g

: O$ a' K2 O3 ?, O6 _$ q  h  ^& j5 r
' ?& k3 m4 W* e$ `9 k& F# B
( x6 G9 B+ ]% B+ p3 ^% F+ v+ JA) Wander aimlessly, bumping into# W' O, G. A" _& j" j2 n; h7 M) E- T
/ R) J' B8 d- A$ P. w
obstacles until you are eaten by a grue.& p2 {! E9 p* a

. n8 S' y1 T3 f/ E& `, AB) Use the laptop as a digging device to) N/ Q8 g2 U9 t

  N* Q) B& x1 T7 D) b' z& A  ]tunnel to the next level./ z  v8 p8 e' X  n( S2 N* ]

" k$ Q/ g  U" F  bC) Play MPoRPG until the battery dies! y/ ^6 o* [/ u
# c0 ?4 H5 n( {2 e1 y+ v6 P
along with your hopes.
6 S. e( I* z( N4 \' {3 h! l
: [( [7 S0 e3 M9 k* _1 k( z% i6 _D) Use the computer to map the nodes
8 E  g9 }& o, a, C! Q' V) Y$ a2 ?6 }- ~; @1 N1 a& f% l( g
of the maze and discover an exit path.
# n; e( d! O3 T" r" B; w
( R" r8 P& g9 }) Q6 rE) Email your resume to Google, tell the& L, Q. j0 r. G' m1 O
  t# P( D( A* @' Z
lead gnome you quit and find yourself
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in whole different world.: }! F, j! T3 u* g' ]
, |$ n4 P5 r4 }& q+ Q

; |4 V2 `' _: P2 b
8 R2 d9 [& `# b/ P# }! u4 i, L5. What's broken with Unix?: U6 N8 Y) k0 F6 W' X- ~/ P

$ x8 g# W6 |. w, K8 lHow would you fix it?
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6. On your first day at Google, you discover
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that your cubicle mate wrote the textbook2 P$ p' l6 I" i
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you used as a primary resource in your first7 A! J  @! ?( b% b- s/ [$ d2 Q
4 P/ k- q; s/ w2 w3 {+ L
year of graduate school. Do you:
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8 o# e" w& I5 A) e& g
; r* k# e, s9 P4 f1 o: h# R1 p2 H% O! v& p, W* o
A) Fawn obsequiously and ask if you
& q. [; p8 w5 M
9 s, \: o  C# s- I3 Bcan have an autograph.
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B) Sit perfectly still and use only soft3 h/ F9 X6 s  N/ z
% Z% K7 R$ B3 z) F7 Z, D
keystrokes to avoid disturbing her4 h* j8 S. l1 Z0 m

6 ~& Y5 o8 z3 Sconcentration.
# z3 Y1 F  U5 y" d. M: H: H; [7 Y0 B; b" k
C) Leave her daily offerings of granola5 B, _, |9 h9 s. b. t. R: K9 E2 A

  m% R" o2 |* A: k# Zand English toffee from the food bins.; P- R7 W  P2 X, x0 K' |( H5 u
; g9 W$ I/ e* k# [! u$ H

6 l' W$ k, Z) `8 c# H( e
' m6 E2 B7 W1 O0 ?' TD) Quote your favorite formula from the
, w2 }( V4 f/ }$ T' v# o- g/ e1 E# T1 W) A
textbook and explain how it's now  x" F( _8 F! }% g0 G
3 t: D* R9 X# n6 w& Q$ K- z
your mantra.. X6 H! U; @/ P6 g$ O

* L( W' g  I- R( Z% q' ?# zE) Show her how example 17b could- [: s  I  T; [

0 c- H! Y# {/ A- V, l" a7 J/ w! hhave been solved with 34 fewer lines: J: ~, }9 w% o8 |' C. V1 ?: u6 T

) i1 ^! X' }! q5 u) |of code.8 j2 r: g6 d  T# H3 f

  t9 d/ r* g7 S7 b! s% s7. Which of the following expresses Google5 N/ X3 j7 u3 {1 H: M
& {9 f$ }: w, G' F9 c
over-arching philosophy?; F9 s  n# J% b  j

: \% {) q! z  X; S; O0 v  q4 |, U' O

3 u2 ~0 h: k/ @% s; p2 _/ D, lA) "I'm feeling lucky"
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1 p4 Z% v( X+ c5 n+ H: hB) "Don't be evil"
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+ d6 d8 O% H5 c0 y2 j/ wC) "Oh, I already fixed that": }1 P2 [2 b: j( r; y6 V, i' r. x( g

3 m, }- O; c* u8 ID) "You should never be more than
2 G2 w, ~3 J4 w3 f3 c9 F2 i/ D5 h5 Y. x1 a% C, \1 {
50 feet from food"& V' w% K0 [; o1 A( S8 j2 t$ V6 J

5 c( g0 H, z: i. @6 IE) All of the above
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! I2 F4 ~0 ~  l
2 G3 F; }  L2 n- O8 G  ]9 F0 J: k' N
8. How many different ways can you color an" ?0 S8 Y  V( M! t- O6 T
/ _2 U9 V& @) d, G2 d
icosahedron with one of three colors on, r3 o5 a5 b1 O& z6 D, H
  F0 Q7 H* U6 I. j. d
each face?" U( T$ z* F- [/ W+ l# c6 o
& b- v! _" k6 M5 d9 m0 D

9 _. m( ^9 z  l! n  \- B6 u& C, }3 F! A# j
What colors would you choose?9 \! j7 |/ u. h  P; X, q
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4 @9 k& e: H# R( {1 s4 u" J" A3 j/ }/ w8 q* \5 q. d% H
9. This space left intentionally blank. Please fill it
( p  ]6 r$ T$ a$ Z' u  \
  T- C6 r7 J- s% u5 S) Cwith something that improves upon emptiness.3 ^" p7 J: g: W7 g8 g

" g5 B# t* i# z. J; M  |/ Y- e, n5 M  G, [! N& |( i
( _" T( U; V$ u% ?
10.On an infinite, two-dimensional, rectangular+ u- I0 [% p& d# p* R# W
% ?. v, v& c2 m: ^, t/ P% d
lattice of 1-ohm resistors, what is the' W9 L8 I  S1 l- j, g- T

& p& `& I: {* l; ?' uresistance between two nodes that are a) X% i- f5 K3 }

1 J; }) V) G& }3 Cknight's move away?
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0 w, c8 z. o0 Y0 {' M: B5 o$ a  F# d, R$ C; @9 r5 R

$ H# m0 u, ^1 e11.It's 2 PM on a sunny Sunday afternoon in the
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Bay Area. You're minutes from the Pacific, F6 r# s# g6 e# D' Y# l
9 N- A) |8 e3 r! B8 o* t
Ocean, redwood forest hiking trails and world
. v1 @1 b! E' c4 w9 c0 m. L' v3 Y% E& h1 ], B  y# @2 e2 z
class cultural attractions. What do you do?' ?% `+ ~4 l0 Y# e

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8 I7 c" V8 G% F
" O. J0 M" D) s% ?( i! C12.In your opinion, what is the most beautiful
  @: D/ [, \! v/ @* V) n3 N- `8 p" ^% P% j  @, I! ~
math equation ever derived?
: [0 i' ?) Y0 S: {. @9 Y3 n/ Y. a) T- ?2 Y8 ]( ]" w

$ R8 V6 `* `' A( D
! x2 Q2 I4 ]6 f. ?13. Which of the following is NOT an actual7 |) q8 |0 f! M5 C- i

. Z( b6 w6 m/ N( l3 s9 O) \interest group formed by Google employees?  ?5 |* u" g  Q% s/ ?" ^: O/ I9 b& O

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& i+ i# t# e+ P% k: |4 @( j1 Q9 r( n
A. Women's basketball
# d9 r; }$ o( y
4 B; t0 ^% }, S1 K+ a3 X& UB. Buffy fans
  Y) S( W* g( w0 E: q/ n% x; i8 ?1 c6 w+ @0 m
C. Cricketeers4 I- ~- p, [9 _

$ Z6 _/ c0 H- R+ t0 H: X2 d5 zD. Nobel winners
0 q! n' ^. |3 l' I& t4 E8 z( R
) V1 C# m) q  l& JE. Wine club
0 T$ i* a8 `7 Q. \$ B7 G* I0 l* Q$ v& l6 L. }4 v

% p' G# ]5 ]0 x% W( n# f* p% P
14.What will be the next great improvement in" n/ k% [: z; [) c1 @( M
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search technology?
0 O0 u, L$ ^( H; r$ H- P" P& W+ S% ~
# g* y2 v. x3 @1 S2 F
: G: ~9 w: ~! |- _- e! w
15.What is the optimal size of a project team,
1 d& b5 V% b& C* z% `$ O) h* u  J4 t* E9 t9 q" o; y6 v
above which additional members do not
+ e6 Z9 S6 T& }/ h0 H8 h5 z, M3 {* h" K! g& M7 f! ]% [- J2 f9 I
contribute productivity equivalent to the3 v7 Z$ s3 _+ V% {. y, I0 A

3 B. w+ B& s7 _1 wpercentage increase in the staff size?& U  K7 a2 u+ K8 K. M# S
! I1 g1 g! Z( p, ~
A) 1
7 E8 m( d1 q2 m( S- n, \: a5 p9 @. ]5 u# O/ M* l
B) 3' Q( [$ O1 {& `" k. O+ S

- p5 }$ B- {# g' ?0 F4 lC) 5
/ ]3 |$ ^, ^" N6 U6 Q7 s9 H& z9 ]$ C& T3 T
D) 11  h$ s7 c- }$ T7 q, S; |
6 p6 f; J7 u9 O4 ^
E) 24
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  j$ n8 M; W& E6 J) c- V( r1 X2 c( S: p+ M* U$ I1 s$ u) i
" R1 P# D8 [$ z  x
16.Given a triangle ABC, how would you use only
( j  r: |$ b8 i
3 a% u4 c' z  C, ka compass and straight edge to find a point P
% S# F1 w3 Z. [% M! t3 g5 c9 A# a5 d! k# \/ {/ e* b
such that triangles ABP, ACP and BCP have
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equal perimeters? (Assume that ABC is
; Q3 w$ @& p$ }: C$ l/ l. j- Y$ p/ f; Y, h' V# X5 E5 Z6 |
constructed so that a solution does exist.)
1 B1 k1 c0 T$ T# Z/ }6 M' X
" H/ G! ~# s; B
4 z! \( I  Q) I. _; l
* A- _1 @  a& }! [17.Consider a function which, for a given whole4 r1 W8 r- s! `0 ^' o* X9 f, g
) w' t6 B$ Q6 ?8 w) `5 D7 y
number n, returns the number of ones required& g4 U* A" y1 x

) f( N/ A. A: a9 b8 L- l( }: vwhen writing out all numbers between 0 and n.
% p: P$ |& m$ v2 H: B9 l# M% q+ R4 {, Y
For example, f(13)=6. Notice that f(1)=1. What
  C& ?# h9 K+ l4 @- L/ j1 p8 |4 |+ [- x5 r8 n8 C
is the next largest n such that f(n)=n?
7 ~, r; H% l7 v0 D3 T) V# h0 C* R/ l2 |+ H5 D( b! X1 `5 z# b

3 _% x' Q. T+ G6 C; c& q3 M* i
- y. ~- l2 y7 I- ~! E8 ^& J18.What's the coolest hack you've ever written?% C2 C! R# j( R2 U8 E* Z
# x6 C8 c0 B1 q3 R% |# O
* |: H7 n' o0 f* Y

1 g' v, r  u  w7 H( T19.'Tis known in refined company, that choosing
: K% b+ X* e: C4 I$ I6 V" h8 h3 B( r: o
K things out of N can be done in ways as1 e4 _; F: o' T" \. Z; t- P

8 w  R7 T1 C3 F2 Xmany as choosing N minus K from N: I pick K,/ Z( s. L7 y  ]& P9 W/ S- m( z
/ y5 ^# L9 m, _* S( T  I, ^
you the remaining.
7 X, n2 v% i" o
  ^7 _1 Z  g- _$ G- v
. {8 S! }% q' R2 U+ n$ S4 F) c. p' N+ }: o5 @& N
Find though a cooler bijection, where you show
* e1 U' t: \, u2 `( [
  d0 y: c; c7 ~- D: c7 La knack uncanny, of making your choices contain4 S9 R) S2 S& `; ?! j+ |( x3 P
& R5 Q" I6 N# y2 v
all K of mine. Oh, for pedantry: let K be no more; J' E: N8 A4 c0 w3 {/ M7 \

5 I; R2 m# c& T. B* a9 B0 Zthan half N.4 K3 Z- r" a) D5 p/ k$ K' Q; ~

0 n9 G) B! L' a
; o) T! H! M' z% u) E
; s8 w7 l$ X6 B: X! Y! C20.What number comes next in the sequence:
% p, s5 M% e: u0 [9 ?$ @! [( K; G- c* M! F5 p; Z2 u! h
10, 9, 60, 90, 70, 66,?$ x- v+ P. n( C- g' S

: q1 j) Z$ i6 e
0 h3 u9 R: F9 h  E) L3 s: J
3 i# t, q% d+ W: TA)96
) C: x/ n, _1 x5 ]
- N7 ^! I% O( u9 ]' \B) 1000000000000000000000000000000000
# u: E4 t: z' \6 @  @2 R1 B
, r. T1 u% z6 e8 j0 S! W0000000000000000000000000000000000  s: z( L  }' Q* m' a  Q& }

/ M* a* A9 T4 n' ^3 A# z000000000000000000000000000000000
7 ]2 W  m6 o& ?" I, ^
+ `( h$ Q5 N) |- r1 g) n7 NC) Either of the above
2 q# H' c8 M- ]  U; c- F
! T6 y1 a6 }& v1 ID) None of the above" L- g2 D# a2 u6 s2 z! H
/ ]0 f$ M9 `3 n5 y% O

3 t: S+ o( @, W2 X: N
. n. _( M/ V  P$ i$ _' K. _, J& h21.In 29 words or fewer, describe what you
* e/ n" y* v9 G! a) Q( E5 L/ f3 Z( h/ ~( A3 e. `6 {; p, W
would strive to accomplish if you worked" [+ \- d$ z- d8 I* u0 P
6 h5 Y$ u$ O2 A
at Google Labs.
zan
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