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 C: C( ^0 ]/ w
6 P: s7 p2 X# Y5 T『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)。# o2 ~$ e3 r$ U; y) n' U9 F* G
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 R# O7 X: t: ]. _  ^

( S# h5 r+ |* f! ?注意: * b: M+ w* J1 }* p3 n: J

* \  L( p9 H- N2 U4 W2 ?* C* U1. 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
" G* C5 b% F, T' X  `4 ]5 J/ B( N$ R1 D7 o$ S/ k' t
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/ B) J( P; S- s2 d0 J

/ R* C; U8 Q# h5 a[ Last edited by playbr2 on 2007-3-1 at 11:54 PM ]

guswan

Originally posted by playbr2 at 2007-3-1 21:34:
; ~5 N. C3 b& A  J/ U: ?. l相信e條題目都有吾少人玩...

( p$ ~3 }5 Q5 D. v, C0 ~. S& H  A% G我以前畫左個chart去答,( p$ B, y/ a9 l$ Z- n
等我搵下仲在吾在( e' j: `2 A! X3 L! X1 N8 N3 g: L

% F8 l2 R" I, k當日用左37分鐘答１２粒波子，差７分鐘才合格。
' v% N; @' n; p1 j& K6 j13.........0 o& l3 q9 u+ R+ {4 }6 r
. O  e* p5 j& ?! K+ {) C3 s, Z0 @) {, x
[ Last edited by guswan on 2007-3-1 at 09:44 PM ]

playbr2

Originally posted by guswan at 2007-3-1 09:38 PM:; ]! y4 y% w6 ]' q

0 E* n6 N$ R2 ]# s- C我以前畫左個chart去答,% V% p$ c1 l2 b
等我搵下...

# _. u" g  s& ~3 r7 I/ v8 i$ g" }. T% f$ Y4 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:5 l0 ?6 @/ p& w0 p- [
唔識隱藏...已經諗到..

! C2 Z2 z( Y# n/ H. Z% s8 r! x
/ n# J% D& A' d% a, p" o
sor !!!....e加改左5 d. t4 U# Y+ `0 ~% a3 Z

# I# j8 q2 _2 Z3 `/ y  C. o2. 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+ }2 x' I! B" S

* `) _, Y  t! a( m/ g1 a. ?  \[ 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 @% R+ m. k( a; e7 l相信e條題目都有吾少人玩...

$ ^! n! v' H& U; q

6 C- t, `% {  E- e" \) j8 `PlayPlay, Let me know later who has the right answer and I will add points accordingly.
- g5 w2 L4 ^) J7 o9 E% L! v: |
% Y7 Y8 F' _& }: g/ xThanks

playbr2

Originally posted by Triangel at 2007-3-1 11:57 PM:
1 a1 A! \- M/ E# r: O
( ~5 [/ q! m; x/ X1 M  H
- T; L1 P. b1 q4 f/ B, \PlayPlay, Let me know later who has the right answer and I will add points accordingly.
: {8 @1 z' f9 Y6 }; z% f% h. m/ U, Q8 O1 P$ r
Thanks

0 X3 ^6 l! n* W+ T+ e

( K4 A) u3 K* W3 Y2 A& v不如你都玩吓喇....叫d叔叔加分咪得囉........如果岩既話

Azuma

1.5 o/ U3 Q, M* K% u3 G" e% U
1-6 vs 7-12) m$ F7 o# K4 E: Y3 N
if 1-6 = 7-12     13 is fake
. h" @: S$ N( w; d) u, Q- k# s6 g( X# e( b) t5 ?
if not
5 T* S1 |6 @# Z6 R9 b6 t
5 y9 B1 s( \0 q; I6 O, v6 FWeight the 2 time
! h+ l4 c; X( u  w8 d
+ \0 W; D, r4 u% u& Z' Z4 xSuppose 1-6> 7-12
/ \* D1 t& j0 K  ]* O. P
* `4 L9 I- x4 N8 x1 q1-3 vs 4-6 $ [" W5 N" X& X: p
- X" @3 q: A$ P2 e  C( J: c
Then Weight the Third
$ n  z9 K' \& }$ ]; u% h1 b3.
) R( k) z4 a5 m, U8 z
, j0 {& T5 Q+ y' D( BSuppose 4-6 > 1-31 J/ G: H/ m* q
( v; C2 z: v9 y" A5 A" ]
Just like the first Step3 y# V2 z+ G7 x8 G9 D) R  Y' m! I, ~
9 A" K! D5 U9 U1 W: q
4 vs 5 9 I  E5 a' `5 e

- W3 s/ D; d2 Z, a% ~0 ?# Fif 4=5 6 is the fake one 7 t9 D- J( L, Z- ^

5 }$ g- y9 B% t) c+ ?, ^$ |- b7 Fif 4>5  4 is the fake one
/ u, W/ X& Z0 H$ f8 N/ Q( g0 ?* b- c
and so on......................

hello1997

分3組4隻波子秤
1 N, c  _3 {2 R3 S: A
' N/ D: H& f0 {4 S0 d; F5 PGroup A: 1,2,3,4
4 |: c. O# ~" H) ~  e" O6 PGroup B: 5,6,7,8
, w* ^3 H$ V/ S. EGroup C: 9,10,11,12
+ ?, A$ O7 s$ I3 w/ m+ ^3 WGroup D: 135 E: w  L' u" c  }

0 p6 l& w* E8 M; T  P. ^7 i+ U& ERound 1: I: G! u3 ~- u# s" Y
Group A vs Group B
9 N$ T" r) T2 D1 U" H如A and B一樣, 即較輕一粒在Group C or D6 C( a5 \0 d4 [3 X: W8 ]

+ ]# j8 X) q& r  P2 ?$ HRound 2
$ q& B6 U* D5 i7 {再在Group C拆成:
; F0 c- Q6 M/ Y# `! `Group Ca: 9,10
6 l! y* Y9 c# z0 {Group Cb: 11,12- N( U* `, p( F7 j
然後再秤, 如一樣, 即13為較輕一粒.3 y+ S; W* M; D8 n0 W6 T
) ?9 A8 Z9 e) d$ I# p$ _. E5 j
如不同, 即較輕一組有一粒較輕波子在其中,
  V7 b& ^* R4 H, f" O4 P1 m) U1 \要再秤, Round 3, 之後便知答案.
& ?+ o/ N% q% [, p* L) k% T( E5 a, _: B1 a: ?4 S1 C% u
e.g. #1 假設10為較輕的一粒
4 ]8 Z2 o1 V/ j; c5 G( |Round 1
. p* @& n8 w2 Z) Q3 j, J( r3 t& R9 I1,2,3,4 vs 5,6,7,8 = equal
0 W# H9 s' Q; f# h5 D9 n$ i1 R& }# i1 h) F* M6 q
Round 2
8 g; ]+ G. e; D1 @7 o9,10 vs 11,12 = 9,10 < 11,123 M) T- \) }* `) X( O$ H

7 {' h" Q3 M0 H9 @Round 3( b9 F3 G1 P  T. `7 J, a
9 vs 10 = 9 > 10
  B- I; h2 T$ l! e* V# V
  n& L& j# I" S; w3 P/ ?  CThe answer is 10.4 r1 G/ Z( t9 H2 L5 C. x( ~' Q3 N

* S' Q. X  t4 i/ Oe.g. #2 假設7為較輕的一粒
( k2 J/ y6 A/ zRound 1: r: `1 n) l) ]: K8 X
1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,8
7 E3 B/ ?6 X& {2 x4 u2 J5 [1 {$ Z% A
Round 2+ \, U4 X5 B0 n' B2 o" `+ Z' J1 B: R
5,6 vs 7,8 = 5,6 > 7,8
! a! p  B5 X! z' N% ^7 Q" J
4 Q2 Y! x9 X% I! z% I) |Round 3
& }; ~+ i9 o+ F+ o7 vs 8 = 7 < 8
9 Z. A7 M) @% |9 ?6 i4 Z# M5 d8 K/ W6 q( r6 N
The answer is 7.
5 t5 J, H/ B. i6 @! @
  Z9 i; k) v7 o! J- n% T; A6 m/ E! Se.g. #3 假設13為較輕的一粒
% S! U+ c$ N" E% R: l, Q; tRound 1
) Y! w- |: t- q/ V- V1,2,3,4 vs 5,6,7,8 = equal
7 D  a6 z8 \( z' M) |- q5 e" K0 e) l; @3 f" Z
Round 2$ Q5 [2 i: g5 \6 a, t/ x& b
9,10 vs 11,12 = equal
2 |* ?8 K. {7 x9 K4 j8 w, f' X% M+ r! U  M
No Round 3+ D* m9 `5 k3 s- |+ g! F( ]

; g/ k# `  g# dThe answer is 13.
4 T& u5 D) v& M/ k
7 e- m) I  @3 ~, q0 s2 O唔知我答得正唔正確呢?!
9 }2 \. p3 z" I/ U% R8 g
* m$ f5 f# |7 W: Q) h[ Last edited by hello1997 on 2007-3-2 at 12:39 AM ]

playbr2

Originally posted by Azuma at 2007-3-2 12:25 AM:
0 d: ~, X% f* h" t! r$ G1.2 O& K/ O  H5 L% M
1-6 vs 7-12
" w7 v% K2 ^; D- r( a; U$ e+ fif 1-6 = 7-12     13 is fake
% V& o8 C' e" X1 [- F
  g- S, }5 L5 z6 r4 r- fif not ( X3 a) m) ^! w8 a$ U8 ]
3 i9 L" V; j( {0 b5 C2 f
Weight the 2 time 1 Y0 m9 T- q' j# Y- Z* _
7 H7 V5 z8 ~) |$ S2 V
Suppose 1-6> 7-12
( U# ~, q4 V, I% Y  S8 B# ]9 ^& H2 K; {5 {) y8 m) Q
1-3 vs 4-6
, R6 x6 \! W9 h/ V
0 S3 J' N2 @( eThen Weight the Third6 p) ]+ O- q6 S" K6 |4 ~
3.0 W  s1 V7 }5 K2 x& C/ \
6 n: D% S( ]- x* l1 H+ v
Suppose 4-6 > 1-3" m: |$ s9 {. J
; v# ?; T" {( H1 s) }
Just like the first Step: {8 t" \' t* i# J$ f3 Q

8 `! `; X7 A1 ^7 e4 vs 5
" D4 X7 [/ q2 o0 n( ?5 \, A6 y; `/ V8 H2 }
if 4=5 6 is the fake one 8 E5 }; e* g% t% f+ c; ?& l1 E
+ u# f) w2 V$ ]8 `
if 4>5  4 is the fake one ( k& ^; V* a$ _
and so on......................

% f8 \/ H6 T' \# l

- a$ e  T5 q, v9 w$ @2 L# p2 W- l9 k9 a" S( ]5 v& ~
問題第二步
" U$ E; h! P& r
# @3 C3 M) `4 D& a( R) [Weight 1:  1-6> 7-12
2 s# M  \  C9 j2 i% L1 G# Z7 n) c7 A( n5 ^
Weight 2:  1-3 vs 4-6 , if 1-3 = 4-6
: ?" J# i0 h0 ]' _+ V/ m5 L' u3 K1 H5 y
你第三步点去搵 7-12 边一粒???: s9 K% C* S, J1 r/ x
$ |. `4 `5 S" _* g
========================================
* h. A; s7 E9 G9 ?: ?) a
$ W) R/ Q8 `* f% c) P# V7 W問題第三步- R6 c3 b7 ^6 J5 o1 X9 Q
0 ~( k* s5 P; ^  K
Weight 1:  1-6> 7-12; j+ N) r: W1 H

* b; d+ o6 T- YWeight 2:  4-6 > 1-3
% C; s5 }% M# k; g; B( s( K, L) r1 ^0 w4 C* Y( Z) S3 q# F
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