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
& i4 P( z+ R% D, w+ t3 X& B& ?; k; x: Q  e: P
『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)。
; Y! H* t5 p' _; {  S+ V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？』$ }( B1 h4 r& g

7 H# o9 y0 C- P$ k1 Z注意: 4 z/ F& M  V" Z1 n, [6 a
6 y8 d" Q' a+ i$ 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  i* x% y7 H4 ~5 Z( j/ E
8 I1 h- s# ~& S8 L
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3 t! V5 j1 ^3 O9 w4 `  M

) |- \9 F. l: m& {: H) @[ Last edited by playbr2 on 2007-3-1 at 11:54 PM ]

guswan

Originally posted by playbr2 at 2007-3-1 21:34:
  h( f4 \+ d% @- ~相信e條題目都有吾少人玩...

1 [3 X- W7 L: V0 z" k$ L& i0 ~1 N我以前畫左個chart去答,
! \$ {8 f8 S; X, f2 z( a等我搵下仲在吾在* E8 Y( A; q8 H% p- S1 }3 D

- N+ k3 f4 s  A當日用左37分鐘答１２粒波子，差７分鐘才合格。
$ l0 M; V; |& W' c0 |" `# i  D13.........% W8 \/ v" l0 g5 B; u( @

# S& d) T7 h  ]3 S, T' a$ U4 x' 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:
6 j* [0 v$ A5 z! F5 a  A; M2 y: i5 M9 t/ G# ?+ S% L
我以前畫左個chart去答,
& M4 C; m+ u' {$ l0 g3 x. d, ~! S等我搵下...

" l* X: ^; g2 J$ m/ o4 F
# y% y7 @3 f) g" b
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:
: n% h& F  |# D; A唔識隱藏...已經諗到..

# W- u7 S( m% A

5 L* s9 V9 u4 W! Y( M" A; }  isor !!!....e加改左
/ R5 j+ X: l& Q5 s7 U
( n: z7 P1 [0 q' t" J3 {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
$ W3 o" v8 h0 {- K1 m1 @/ o2 Z
( ^7 R: y# Z1 Z: o5 k[ Last edited by playbr2 on 2007-3-1 at 11:55 PM ]

Triangel

Originally posted by playbr2 at 2007-3-1 09:34 PM:# U# \5 m8 R+ O  Z
相信e條題目都有吾少人玩...

/ S- `; u2 @7 q$ N/ ]" A9 P
5 d0 e( P7 H: j: `* ]) |6 R3 YPlayPlay, Let me know later who has the right answer and I will add points accordingly.8 W0 I% W3 a  l: D0 Z$ {

; |  f! g5 e9 I& \! Y  |1 e- U1 GThanks

playbr2

Originally posted by Triangel at 2007-3-1 11:57 PM:2 I4 x1 B: S3 L
  I5 M' C. U$ [( u- L
5 p& X0 f4 z( }4 {$ j/ K
PlayPlay, Let me know later who has the right answer and I will add points accordingly.
8 p8 }" O4 v* S/ {  X6 A) v) {
6 ~% v0 S: v) [6 RThanks

- m) z" q3 [6 E+ d+ r( @2 h

  Z' v9 o. x  e不如你都玩吓喇....叫d叔叔加分咪得囉........如果岩既話

Azuma

1.1 c! K0 h5 E# x4 z( N6 F& R% a2 u
1-6 vs 7-128 {  f- @. R" L( E1 Q) y
if 1-6 = 7-12     13 is fake
& M/ C7 Q0 s" F% [! \7 ~
: M2 r2 b" ~8 O. h3 G5 Dif not ' z( ^  Z8 u1 I9 ^+ w
4 P8 y$ N; z7 E' p  }$ a
Weight the 2 time 8 D5 N7 N) c1 x  f
# j9 J6 o6 t. E
Suppose 1-6> 7-12
/ D! t' U! h& {  i; y: c% i* ~- b% T; b) p- u1 W- ?
1-3 vs 4-6
9 ~' e/ w3 o! _# n  n6 E( [0 i
! E  s% H- n. hThen Weight the Third
1 ?5 z7 Q# R$ r6 E6 S3 z8 L% E3.8 \7 G( s5 R9 T
6 E$ x6 g  X' `1 I- Q3 n+ f0 z
Suppose 4-6 > 1-3$ H7 c  G4 T0 e/ a& C6 Y3 K
! t9 ?; {* {9 A  }0 B
Just like the first Step
. F3 b9 U) @% z% {5 I* M( E% G
4 vs 5 # C& P4 [. u7 x/ ?/ M! r  q

! _/ O( w7 B! v8 e# I9 D' xif 4=5 6 is the fake one
+ A8 H& G! I& f# T3 T$ }  Y, C& }
if 4>5  4 is the fake one
  L) t1 \6 b6 Y6 z  e. R
/ [& a- P$ h! ]. ]. {/ sand so on......................

hello1997

分3組4隻波子秤
( ?. Y0 f: Q: V: _6 z/ d  ?( H0 k1 I: c5 V+ ?
Group A: 1,2,3,47 Y0 i. Q$ q. O, g+ h3 D1 ^7 v
Group B: 5,6,7,8
! f3 q. T$ a/ p* r% q) f& eGroup C: 9,10,11,12
( s& K* i7 N5 h& NGroup D: 13! P$ D5 E- n: s9 E

* V& x( X" E1 r1 |Round 1- p# O7 p* k9 c. A
Group A vs Group B
9 s( W& ]2 o+ m; \) V) w0 W如A and B一樣, 即較輕一粒在Group C or D  |" q8 b* C, w9 [6 @

  _2 W, g0 J/ ]5 KRound 21 ?% A: L; Z( D7 x9 F0 c+ b2 p7 x
再在Group C拆成:# k6 D7 Q# d0 N) o) ~+ c3 C/ @& p
Group Ca: 9,10$ J) V% _: l% u
Group Cb: 11,12
' b- b0 K9 y1 T& u$ E" i) W/ Q然後再秤, 如一樣, 即13為較輕一粒.
' ?- _# j5 X3 _6 i8 T$ ~
4 d% g3 j, M2 t" c4 I如不同, 即較輕一組有一粒較輕波子在其中, % w5 l6 z1 n4 c$ i# G- J
要再秤, Round 3, 之後便知答案.
5 g; v/ M0 M+ H% Q8 O- s0 R" }+ e  [/ B; U0 Z
e.g. #1 假設10為較輕的一粒/ B. V& o1 ]9 G8 R4 D& M* y/ h
Round 1
: Q' d6 X# ^5 o2 q# K1,2,3,4 vs 5,6,7,8 = equal$ v% K- c) I9 c( f( \4 a
# g; ?7 B" o2 \/ l% M- S
Round 2' D+ Z! n2 K2 |* {$ A
9,10 vs 11,12 = 9,10 < 11,12
. V% _% J' D3 i6 M' }  h: f% F& L
3 O2 N+ I* a( uRound 3
( H6 E0 t4 m$ }  A, x8 m9 vs 10 = 9 > 10+ U8 P" I7 v( W# [7 K

$ f) f. e! E0 O, l2 `8 }- JThe answer is 10.$ Y0 G5 j" B* Z1 |! S% p8 b! Q

% o# q4 ?! H  |7 I. m) qe.g. #2 假設7為較輕的一粒8 F1 N; f) o% R' `1 s) G
Round 1
& F! ?( O8 |5 h: Q) ?3 J  a3 M1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,84 x5 Z, g: v" b" }/ }$ _

% C5 V7 S9 O, I. V( @Round 2
/ l2 t& B  P7 U* j3 }: [5,6 vs 7,8 = 5,6 > 7,8
, B9 p' U1 z  t5 l# q, l& |0 {! y3 r1 [% W  b  C. p
Round 3
( C1 E; h3 Y( D5 z% h& d4 q3 h7 vs 8 = 7 < 8* \9 s" n5 H. A4 |7 J

3 F) E( x. K5 d: L' GThe answer is 7.
8 X; ^- m- [# b9 }; T: V5 ~+ N+ w- D* [8 q1 Z! D& D# N
e.g. #3 假設13為較輕的一粒3 j8 g7 _! ^$ F# w7 U" ^3 K4 i
Round 1
6 \; P  ]3 q8 G  q0 p1,2,3,4 vs 5,6,7,8 = equal! r5 y. y: T' v; q
6 p/ z) p) ]2 t. i
Round 2( P1 L0 G7 J# C5 i+ v
9,10 vs 11,12 = equal
- v3 k% Z- X! ^3 |- S% T. s) }* J( ?; I/ G# O! ^
No Round 3- y+ M) I- ?. o% G7 C; K

8 I) R; k- v* R6 D8 L; d9 n) ~The answer is 13.
' C$ d) N) P' F  E
6 d! e, d' o# Z' x' i6 B: }唔知我答得正唔正確呢?!
. G; S! D7 B" t
6 L! U7 p, W  O% m9 {[ Last edited by hello1997 on 2007-3-2 at 12:39 AM ]

playbr2

Originally posted by Azuma at 2007-3-2 12:25 AM:5 m8 m+ f, O( a7 |( F
1.+ a% u! o2 A* v# d# ~& {
1-6 vs 7-129 g: g/ q& A- G6 }! G% ]
if 1-6 = 7-12     13 is fake8 E# p1 y* l4 I/ r, H2 H: y

: w, g  Q* M( W+ \+ D6 \# [) S8 Hif not
3 v. R7 Q8 d% x/ _/ F. Z: H3 B0 y, [. f1 s/ V5 P; \% n
Weight the 2 time * {. j: i: H" R5 `  o
  _4 t& y, x! z$ H3 `- B
Suppose 1-6> 7-12+ T5 K9 \3 c" Z% Q9 t# p
& ~; l" p5 B4 v1 l% ~4 [4 H
1-3 vs 4-6 9 D$ Q5 Z( }- A' ~
6 ]7 }. D8 B' b8 ?8 E
Then Weight the Third
/ y7 y5 M- z! J: v' s2 K3.& Q# |& c# L' ^/ l

1 y+ s4 B  b' h: V9 K- q' l3 USuppose 4-6 > 1-34 K2 d# |' H; e" O' I* }6 {. O2 w, r  }
  \/ X$ k1 q' q3 C
Just like the first Step
7 l6 i2 V' H" ~* F
. m( T7 r6 l$ M4 j+ i4 vs 5
) R$ \% R3 Q# E0 |7 J4 Y: [/ L" X+ Z. v  h2 o% Q' |4 K! q8 K7 x' i
if 4=5 6 is the fake one % E( I2 O- W4 P% ~- e4 Z$ X3 C

. J3 Q% [4 i. t7 p+ T3 jif 4>5  4 is the fake one
6 h; g& v. O6 T) y: Mand so on......................

6 }' T# Q7 R4 e: k' s+ R1 l# v2 F
/ p- G- @% w1 S' m# O3 S8 _( t+ E8 m3 [4 j  `/ T) A1 S% J
問題第二步8 z9 c+ _- G* o8 F; Z% u
7 ]! ]# c: U4 X6 S
Weight 1:  1-6> 7-12
* D+ p7 q& F8 w1 j
% v+ @8 k3 K/ P. f9 @% D. ^Weight 2:  1-3 vs 4-6 , if 1-3 = 4-6
' f- E  O- [& p* K0 o, _* q
* n) [: Q% V  {' \* x你第三步点去搵 7-12 边一粒???3 H2 m5 |' T- x" M

( b' }1 Y4 F" I! i; \. t% b. n, w' K% y========================================4 B, |; {# D5 ~  `

6 \) H' F0 w- i問題第三步
6 u# @" I2 _" N/ z! n3 D
: v7 M! L: z8 E1 aWeight 1:  1-6> 7-12; N6 F* c2 G! L/ l+ u
9 F9 D  Q; s2 S+ z, B/ `$ ~
Weight 2:  4-6 > 1-3
& t5 h' {7 I5 J2 R+ P% z9 x: }0 A6 n5 p1 x0 H
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