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) u2 N/ {# y9 }& [' z

+ o( y, l4 ^/ K  p' Z『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)。2 H: V3 n# f) H5 \
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？』
: R& W* {/ }; a5 }  N, Z  P9 B- ~3 p% E! |" y
注意: ( z8 e9 I% L. {, X( f2 t  P# }2 N
: A. J& o2 X- R* Y6 [6 B- 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$ a  t1 S& e3 O+ X, V+ o
: _- C8 q, ~9 h& a* Q8 r( A2 c
2. 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
2 G6 k$ s/ k$ u1 ]  w4 R+ a( D0 E" X$ F5 X( r/ M
[ Last edited by playbr2 on 2007-3-1 at 11:54 PM ]

guswan

Originally posted by playbr2 at 2007-3-1 21:34:) a% V2 T+ J4 l& i7 @
相信e條題目都有吾少人玩...

& T- F  l& Y4 i+ i3 z8 m. U& s
我以前畫左個chart去答,
& y7 X8 ]6 d, _( z9 C1 Q. l4 d等我搵下仲在吾在  M  |7 Z8 B7 g) T# l- h+ D0 k+ Y

2 @+ \7 v" f7 ]2 j: A0 f5 @當日用左37分鐘答１２粒波子，差７分鐘才合格。. ~, R& K' D1 s
13.........6 o; I- D7 ^! Y; r7 o

$ \% r: A2 U# K[ Last edited by guswan on 2007-3-1 at 09:44 PM ]

playbr2

Originally posted by guswan at 2007-3-1 09:38 PM:: u3 \  ?! y  ?* l4 d+ X  A+ h  f
/ o' z% t! j$ v' }
我以前畫左個chart去答,4 K$ C0 c. I5 e
等我搵下...

/ ?9 k0 x+ O" Y  U# k0 y0 j, L
% u( L3 ?" y9 a/ t- ~
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:
- `. o8 C' w/ g. m4 i唔識隱藏...已經諗到..

, j/ x, y7 T* t1 t8 H- O
4 O( d' y* r& p& \; [
sor !!!....e加改左% a/ f4 e+ K( a9 v" s
: E5 _/ `3 x! _. k% B+ X) I
2. 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/ e: h, ^5 Y+ C! {2 Q! c1 r' h! i

; X/ q, X$ z9 ^, N! c[ Last edited by playbr2 on 2007-3-1 at 11:55 PM ]

Triangel

Originally posted by playbr2 at 2007-3-1 09:34 PM:4 y  \3 z& ^/ X# n
相信e條題目都有吾少人玩...

, [" g0 [) g- u& ~6 I" q1 g
2 p2 q& D* i# G
PlayPlay, Let me know later who has the right answer and I will add points accordingly.
) r3 A2 C0 C% k5 S: X" O) L* e" J7 {( P; M
Thanks

playbr2

Originally posted by Triangel at 2007-3-1 11:57 PM:1 B! s7 f  b* f& J& A
' d7 K& Y) N+ W

/ Y/ d4 G, u7 k7 X1 V6 nPlayPlay, Let me know later who has the right answer and I will add points accordingly.6 d! J9 ?; R2 N( Z9 P  F6 v9 b2 `
8 y) s  y# w8 q* S
Thanks

$ U/ b7 h, j2 _' c8 m. ~: U
$ I5 M! p8 o$ z9 d2 v" B: r0 O不如你都玩吓喇....叫d叔叔加分咪得囉........如果岩既話

Azuma

1.
' r5 v- a" H4 ]8 ?# M) h" g1-6 vs 7-12: v3 S* W. a; ^8 a1 z* A: ?
if 1-6 = 7-12     13 is fake
7 K! M+ q4 @) V  e$ _! B; _4 e; P4 v( u% z( O3 R
if not 1 w+ J* X1 N& I( u% n# k# B

' l) y& z1 ~& C' b3 G: oWeight the 2 time % T2 s  [( W  g. N% A1 m
9 U, @( h, U( d$ Q  Q6 y& e
Suppose 1-6> 7-12+ X9 f( D6 u: J+ Z- i( g/ E! y8 g
4 v8 {  V$ B+ x8 t  ]9 o
1-3 vs 4-6 * U9 {1 z9 `9 K9 g, c
7 Y# q9 E$ C  ?7 U
Then Weight the Third3 v; D" e2 N3 h/ _# P! N' d
3.. p; J6 h' p7 W* t; K

; H, _, D5 z% T' _0 j( G* O6 VSuppose 4-6 > 1-3) v/ z, E" T7 Q( `

" a* k( b8 t' Q/ l/ \" ?3 z0 dJust like the first Step
) |2 i0 F; ^: w( H) P" B
, U6 }4 f  G; `, f$ Q4 vs 5 % ^4 T; v' _8 U/ U! b

* B. q  g# n7 @  B- _# h" Gif 4=5 6 is the fake one 6 C! w; V1 N0 x/ c# V% L0 e8 I

  }$ k8 q9 g) uif 4>5  4 is the fake one
, F9 J7 O6 G5 `* T/ i/ c$ y
' ]! E4 U3 N( @0 N- I/ cand so on......................

hello1997

分3組4隻波子秤7 W" h( p- e) e  x

9 n" p! `' _1 |+ tGroup A: 1,2,3,4$ P- M) x1 y: ^# y& h" h* G2 N
Group B: 5,6,7,8
3 w8 Z2 T$ [2 R7 n. aGroup C: 9,10,11,12- r- g* P3 \4 U3 F3 O3 E8 E, J
Group D: 139 f* O: A, _& j1 j1 C( |
5 p" d/ [1 m- b
Round 1( J/ P" U( m/ L0 d* W) v
Group A vs Group B+ |+ v) h9 t) x7 s7 g
如A and B一樣, 即較輕一粒在Group C or D8 a& L7 p( U& O' a
4 _5 e" D0 e+ h. [1 A" A
Round 2  z5 S, H1 L2 I9 F
再在Group C拆成:3 H7 ^7 t% z: N
Group Ca: 9,10% E, F  {- m1 n2 J* r1 l! r
Group Cb: 11,12
3 `( x; x. d: y' z$ g然後再秤, 如一樣, 即13為較輕一粒.
! H% ]6 Z' A9 D+ S4 t3 s' K! a
! g  u5 ~7 B1 c/ ]3 w' C6 Q如不同, 即較輕一組有一粒較輕波子在其中, ; E1 U6 h% Q; d
要再秤, Round 3, 之後便知答案." `; [* |' A) D! ^  A; V

5 \5 n) c! G6 q9 I: ^& Le.g. #1 假設10為較輕的一粒
* Y' T( s  K! \6 r; M) `Round 1
; E+ I, P: c: m0 M8 Y4 g1,2,3,4 vs 5,6,7,8 = equal  V  r3 ]; s1 l* u9 j: N$ {5 h
. b+ H$ C9 |9 b4 L
Round 2
- S1 `. l8 \' W4 ~7 |- h* |9,10 vs 11,12 = 9,10 < 11,12% f" W8 T8 ^/ |. j9 e& [

8 T; i2 X. o3 _Round 3
. K; x- Q/ G+ I9 vs 10 = 9 > 10
% D+ {5 O  z7 y- a+ |+ E2 v+ R4 `9 l  }1 |0 T
The answer is 10.9 m" c6 W9 d7 I+ B

/ N8 [2 X" y; f: |e.g. #2 假設7為較輕的一粒  k: X. S  Q) Y
Round 1
2 n. ]% k0 r6 T1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,8
- V1 U9 X# r& z; r9 G2 L" ]8 A; K: W6 M  a$ q
Round 29 k2 Y! b& _6 V/ O. d
5,6 vs 7,8 = 5,6 > 7,8
* r4 R, X4 W* q  F
6 @) p, q5 \8 [. [Round 3
& a+ o0 N8 D& u! V! [6 n- e7 vs 8 = 7 < 88 o" B" U2 i; k' \/ A, N! q- K

' O9 C: s* f6 x1 tThe answer is 7.
! \0 _0 Z( l5 o( [4 O( C' t
' y6 n2 y. A4 Oe.g. #3 假設13為較輕的一粒
8 A  D4 s. p( R: _Round 1& Q. s1 e4 E6 Q) o3 x1 G
1,2,3,4 vs 5,6,7,8 = equal
; h& b! O4 v) l4 h$ ?! p% {
1 T" m8 c: X4 U5 D: bRound 2
/ l; D0 D, k& ?: [0 p  j; W: l1 g9,10 vs 11,12 = equal
: m* C& }1 N) U  q6 {' v! y: [8 D) |
No Round 30 @. G' q7 O$ P! O7 Y' T
; V6 A2 l6 O  u! p* P& _7 C
The answer is 13.% ~' H9 ]/ C4 `- \! i

( P) ^* g3 g4 A" ]  V+ y+ ^唔知我答得正唔正確呢?! ( c, `7 @5 b1 q2 J6 l3 g
5 O/ H& B3 V. L% C3 C
[ Last edited by hello1997 on 2007-3-2 at 12:39 AM ]

playbr2

Originally posted by Azuma at 2007-3-2 12:25 AM:
' {3 f* C8 m, c1 T" X# r1 ?1.
$ h, ~- d+ \" k) C1-6 vs 7-12$ ?1 P5 J, z; w: L$ w2 A" x
if 1-6 = 7-12     13 is fake% U' S: {, f: |6 E9 B8 A
4 N: i) n7 q5 ]( w. I( a% a
if not & @$ l8 A5 o# b* p7 j) t
1 {" L! M7 I+ M- g' ~" S
Weight the 2 time 1 p9 _1 t" O# M
  ?) I$ L% `# r  v
Suppose 1-6> 7-12
8 H" C+ {" I# H
% [' P: j# M1 d# D& u1-3 vs 4-6 $ I! v8 J4 l# A3 S' O

4 h7 f. j! b7 r' ~7 u9 aThen Weight the Third: j) |, F9 P7 \  S, l6 i! l! Q
3.* t  E- _+ {) Y' L, Y% j2 Z5 ?

! [. l0 g7 ]: bSuppose 4-6 > 1-3
5 }5 p8 o, r2 c/ y' {2 \. i7 ?: N0 q- f! X
Just like the first Step+ \, m8 h. l1 g0 d

$ ]$ K3 }, h8 ]- e" r. w$ d4 vs 5
( a) ]3 _1 Y9 R3 }6 n( p
& p/ @. F( i- x- E$ Tif 4=5 6 is the fake one
  t% {9 y1 G, a/ C9 D( a- Y
& l" @# M' ^( m: kif 4>5  4 is the fake one 0 u' ]3 n! w3 ^% |
and so on......................

; b7 }$ i3 j+ G1 A0 e0 z6 L0 e
% D" |+ O2 U5 G$ J6 F& x1 F( Z  [& |+ U
問題第二步9 Q/ b# ?. ]. w$ _, d- U" X
5 k% W3 B8 Y: E2 e+ V
Weight 1:  1-6> 7-126 Y/ c. `7 `+ q" O0 H

$ r" W# N/ o7 h1 D  `9 N# E: oWeight 2:  1-3 vs 4-6 , if 1-3 = 4-6
  ?# L0 f* h3 n# \) b9 ^% v2 \( e$ ?) s7 ]
你第三步点去搵 7-12 边一粒???* e. }7 H, b% F# @: `4 V0 k
5 ^7 j- F! f2 M& y, `; u! v! _
========================================/ x$ H7 v& v- W# U+ _

( X& y3 @$ E% u問題第三步
% G8 l! z$ L' V" r
- h" @* W$ S) @& S0 FWeight 1:  1-6> 7-121 s- |6 _( Z  V  n3 N. O
9 h0 L* g( D( F) R: _* z
Weight 2:  4-6 > 1-3 ! L9 M% P- J- R5 H* E5 ?7 A

- G6 T) D* Y0 ]- X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