推理大挑戰(第四關)

playbr2

相信e條題目都有吾少人玩過,所以今次一於改難些少.....由12粒波子变成13 粒波子......不過對於識玩既朋友,應該都屬大同小異既啫
6 }1 E1 o7 D/ d( h6 H  C% A% ]8 P, M2 c. d
『有 13 粒波子，有 12粒是重量相同的，有 1 粒是重量不同的 (沒有列明是輕了 / 重了)。# B- ]( E7 v- r6 S2 B$ \
現准許使用 3 次天秤。請解釋怎樣才能找出 13 粒內那 1 粒重量不相等 (即是重了 / 輕了) 的波子呢？』
; j7 i2 D) H# F# U& b! u+ ^8 ?& B
: M' ]7 h, J4 l3 {3 d0 f* n+ d  |注意:
! m- J9 F% f5 A" j. g* H/ d% R( y0 q4 S
1. 回答題目時,波子的名稱代號請用使用 1,2,3,.......至13 等數目代表, 即1 代表1號波子 , 13 代表13號波子.....以方便查證
' m  E# _; r2 [0 E6 z5 R
8 Q3 u1 n+ K  D2. 請回答題目的朋友使用'' 反白功能 '' (即係將D字既颜色改為白色,白色颜色在黑色颜色上一行,透明的呢)穩藏回答答案,費事比其他人抄  , hide 字要連埋 , 內容 = 答案
# _$ Y+ _4 D6 e0 ^7 g
1 H) D( g. T  |9 p[ Last edited by playbr2 on 2007-3-1 at 11:54 PM ]

guswan

Originally posted by playbr2 at 2007-3-1 21:34:
9 g6 F! ~9 t; V相信e條題目都有吾少人玩...

2 p& W$ W' I' W! R3 |& s我以前畫左個chart去答,( t- D0 M7 V4 W6 G4 j
等我搵下仲在吾在
0 o; ~) C& y4 A6 b6 h% b1 D( e1 y& K
2 z5 g/ {* Q2 ]- ?! a# f當日用左37分鐘答１２粒波子，差７分鐘才合格。
6 U6 c7 _/ z1 b; u. C13.........9 A$ G; G. m" a8 P6 l, |7 {

7 g2 z/ [" V+ J2 W& o[ Last edited by guswan on 2007-3-1 at 09:44 PM ]

playbr2

Originally posted by guswan at 2007-3-1 09:38 PM:: D& l/ r  R, R. g5 d
- a3 m0 ?4 {2 I
我以前畫左個chart去答,9 u2 }& w% m+ F' ]6 Q9 _6 C/ I8 O
等我搵下...

0 a7 Z4 Q: q0 j2 e; s0 k4 _
1 J+ e- B  q3 C# I記得穩藏答案

16749

唔識隱藏...已經諗到..

playbr2

Originally posted by 16749 at 2007-3-1 11:35 PM:
% l4 j' _/ k1 u. I) f- z唔識隱藏...已經諗到..

& V4 k( V6 Q7 h" U8 ]; n
8 \& _1 @- J) D/ @0 ?( vsor !!!....e加改左: o) y7 ^( j8 @2 g/ b) Q9 U

$ e5 C/ H! r( d2. 請回答題目的朋友使用'' 反白功能 '' (即係將D字既颜色改為白色,白色颜色在黑色颜色上一行,透明的呢)穩藏回答答案,費事比其他人抄6 P5 p( d- _* Q# r$ G" ^

5 m: J4 |; y; p- ?8 L8 ?. @4 n[ Last edited by playbr2 on 2007-3-1 at 11:55 PM ]

Triangel

Originally posted by playbr2 at 2007-3-1 09:34 PM:7 N" g% d1 C& q8 D, k3 C
相信e條題目都有吾少人玩...

( {7 H8 W' l0 H1 v- x6 [- a: i
PlayPlay, Let me know later who has the right answer and I will add points accordingly.! s. W! l  H: X5 o4 ]9 g( e/ L1 Z+ Z

! _7 i6 l- L3 L5 d0 \Thanks

playbr2

Originally posted by Triangel at 2007-3-1 11:57 PM:! O+ e! P* T! v

$ u1 \# _! l/ W" j0 \7 o+ s
6 I3 B+ D& e8 c5 k5 v; n; p5 u( ZPlayPlay, Let me know later who has the right answer and I will add points accordingly.
. ]  W) T5 z/ \: {4 f- n# @/ S  B3 P7 Y0 R+ P. [1 _
Thanks

' J5 {, F: `& p7 s0 [% R. t# X7 Y5 T4 d: V* ]; F9 A- Y! v
不如你都玩吓喇....叫d叔叔加分咪得囉........如果岩既話

Azuma

1.  Z% a& d& a) d/ h" j
1-6 vs 7-128 f8 `6 C4 J0 u
if 1-6 = 7-12     13 is fake" g. B) C! R. `

* n$ @+ M* P! Vif not " F* ^, H4 E  ?, |+ h  X
8 F* s" h7 A0 ?+ W$ J- ~
Weight the 2 time   o9 O! B; Y( k" i3 m
( @6 ]5 O) ]- `
Suppose 1-6> 7-127 g# [) j9 [6 V6 C
- d) ^" Z+ V% J# T" y0 W' z  q
1-3 vs 4-6
3 B& U4 d8 |! S1 c: f, ?$ u. @+ m1 l' o/ h) O7 Z
Then Weight the Third2 B" E/ ^* E8 b% p, l* ?0 s( ~
3./ g6 Z# _2 [) I) W4 U& h% |. R
7 C7 f; v0 h2 J( r* e, d+ P
Suppose 4-6 > 1-3
5 F/ m. L  z9 `0 {/ a" J% I, c0 D2 z! ]3 I9 q  Q9 L5 G* ?
Just like the first Step
9 Q* ^/ ~* K* t& o
7 ?! x3 B0 u* U+ X! e; B4 vs 5
0 ~/ h5 N. z8 p3 M9 c4 ~5 }6 r1 R" ^6 `9 W" |* ?# e
if 4=5 6 is the fake one
& K6 [; G4 g& d2 b( E4 \  B' J! m2 H0 `/ {  g# g: f4 Z+ ^
if 4>5  4 is the fake one 1 n, q) n4 ?$ o8 N5 T
& K/ h. ^/ E" P2 \3 e
and so on......................

hello1997

分3組4隻波子秤4 K7 B4 e" X' I9 S
- C7 M9 N' o0 k% y9 o" h
Group A: 1,2,3,45 g8 o0 S; c- _, ^6 i) |
Group B: 5,6,7,8
7 G; g9 |, h8 r; rGroup C: 9,10,11,129 q+ x' q4 d) V  ]- o8 O. [5 Z7 G
Group D: 13
- Q7 V( l; G- o  s6 T; ~* D, Q, V, x( l/ k' n
Round 1
; H* b9 C+ a  _8 {, ?Group A vs Group B6 t6 [/ h0 W" n$ v- C: c
如A and B一樣, 即較輕一粒在Group C or D0 n% b4 g/ O# R! _; C  ^# F

8 \; T* W2 m  R5 uRound 2/ d: S5 a  p/ w3 u" [$ B
再在Group C拆成:; L, E3 x- t# p( s: {& i+ i
Group Ca: 9,109 C+ m9 w2 x/ [: i- @: E$ l
Group Cb: 11,12
, G7 k/ {" c8 _4 G& p- ~# ^) W然後再秤, 如一樣, 即13為較輕一粒.
- c5 u1 ^& ^/ f( A4 j* V
7 D9 X1 ^6 P) a1 ]! N* f如不同, 即較輕一組有一粒較輕波子在其中,
. `. |: l4 f* @% D要再秤, Round 3, 之後便知答案.2 \( n" {- j( N3 U

  C3 T4 I, h( a& ]6 De.g. #1 假設10為較輕的一粒
) m+ q3 l5 w% L3 l* zRound 1
% [1 R8 k& U+ I; P0 u. w/ Q1,2,3,4 vs 5,6,7,8 = equal  k+ d( Q3 ^# C1 \3 {0 k6 [8 @

: S+ s2 y5 {9 D2 Q" n# vRound 2
! Z! G2 E+ L0 S1 F, K9,10 vs 11,12 = 9,10 < 11,12
! A8 N3 T/ T# P2 C0 i& d; e/ d% }6 _: D  X5 q" I0 ?% u: f' {0 [
Round 3/ `* h" |) ]5 P3 G, h0 d
9 vs 10 = 9 > 10& V/ k# {3 b3 X" ?
3 ?% V5 `) K3 l9 l
The answer is 10.
/ m" d  J6 C; c2 _& C9 r/ }
% W1 \. b( I/ i; y* ^, re.g. #2 假設7為較輕的一粒: @% X$ J, h" u  g
Round 1% J/ p8 `5 ~2 C; f7 ]; x2 F4 ~% O& g* \
1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,8
4 {+ A8 n: k( a( }  O* U! c
2 B0 D* [8 P) v0 f# s" e7 F# g, jRound 2
. ]3 Z5 n) ~  t; c# E8 D5,6 vs 7,8 = 5,6 > 7,89 o6 I' O) \' R% ]

  j% S/ h3 L% B; {% j( cRound 3' ]6 ]9 @2 }9 N. y6 `# ]! |
7 vs 8 = 7 < 8
; a) I, D4 n% g$ ^* Z+ R: a% ^: {) O9 ]2 q& J" g- m
The answer is 7.
' M1 {& U3 M4 Q+ X9 u6 L6 `+ B  M2 B% i, @
e.g. #3 假設13為較輕的一粒. q/ Y3 H+ R! Z
Round 15 W9 e* e- ^' y, C/ P8 Y
1,2,3,4 vs 5,6,7,8 = equal, ?5 u; L9 W* r9 s4 u! B7 M
5 h. x5 g4 Y& e4 K, {
Round 2: v! L9 K: N- h! \( P# N2 i
9,10 vs 11,12 = equal* l  r8 h1 {; t* D) _
. D! k: ~( X5 T9 N
No Round 3
3 N+ F+ j+ k- A; z" F" g$ h: I1 m6 J1 U' B3 e2 b; r& [( B
The answer is 13.
9 ?: o0 \4 b6 K+ T% w7 a2 ?& K4 W) G9 K' i; S  l4 t
唔知我答得正唔正確呢?!
6 O8 a) e# u" J/ n) N+ y! }- [8 P- _' h. S& X
[ Last edited by hello1997 on 2007-3-2 at 12:39 AM ]

playbr2

Originally posted by Azuma at 2007-3-2 12:25 AM:! f3 Z$ `: Q& D- O5 Z6 `
1.
5 R- N( D5 I" p8 u8 H1-6 vs 7-12
5 v( [" Y. u& j" D6 tif 1-6 = 7-12     13 is fake! X4 q* H" I9 B
! l; x7 k8 ]3 j  T
if not   n! h6 F4 q1 Q! q8 I' [

% n6 K2 |# ]& z% mWeight the 2 time
0 J, p- e, P3 C
# l; [4 r; H( n) h2 ]* k8 N) GSuppose 1-6> 7-12
4 `' J" L+ E) j- @; S( @9 u. J8 e- E+ u1 b  U! ^4 v# A
1-3 vs 4-6
; T9 n9 Q6 X8 e" }0 _9 o9 y/ `. Z, a* t  f
Then Weight the Third
2 a3 b* j7 i5 H: ~7 }  X3.
& D8 _7 C& B& D- ?
! L; ]" J2 a9 H8 T8 YSuppose 4-6 > 1-3/ x# n' D, ^9 ^8 |" h
6 n4 i4 P3 m+ ]/ V5 Y/ h4 ?
Just like the first Step! i/ G. i: H& ~. E& r
9 k* w% O& I4 P# y! K4 l
4 vs 5 2 f. j  F9 J. w& ^- Q( L

$ C8 Q; \, W4 h* _" P6 t6 @if 4=5 6 is the fake one
  s# l; C0 y& A1 R/ U- ?
2 U* }- o" }  @# |) I& h! sif 4>5  4 is the fake one ( O/ V! w6 M8 ]4 V; X0 k
and so on......................

' r$ O# Z6 f( C" N3 y, V9 a: v3 j8 h
3 r8 |  G' f: Z( T6 ~

& J8 u% U! u. t" E問題第二步
3 f6 ~9 U& W* F" R
9 h. u' [4 ?( SWeight 1:  1-6> 7-12
9 M; z) Q9 j0 u/ f. P/ I1 t0 _% x
. c$ {- w  h7 A  d! X4 P5 PWeight 2:  1-3 vs 4-6 , if 1-3 = 4-6/ Y& V5 a1 n7 b4 Q8 Y0 R2 c$ w

. L* i+ o2 F% `* {你第三步点去搵 7-12 边一粒???5 Y1 P5 T* C7 l/ ~) y! R

6 A: v" p1 Z; I========================================
6 D* h4 I  ^/ U' f/ ~
1 w' ?& z" j! l2 N* s3 i問題第三步  A* D4 J9 G9 ~7 Y! u

% I) d  I5 A8 U2 b1 f0 [3 O& ?: YWeight 1:  1-6> 7-12
8 ^' M6 b3 G' [, Y9 O- G6 S" N4 W* |  Q" A- j7 b
Weight 2:  4-6 > 1-3
, H2 l& x4 x" S# Z2 X; n
" v# i, T/ y( ^/ W- Z! z3 M你又吾知粒波子輕D定重D ..... 咁点解第三步只磅4-6 吾磅1-3 . 如果個波子係輕D ,咁4-6 就一定一樣咁重