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/ Q0 E. ~) x; f% M

1 N  L8 T' p, d; s# j『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)。! C6 X. k& Z7 n7 y2 W
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？』
' ?* Y1 f: Q5 q( b
- R; i5 e6 t# k. g注意:
+ V8 d2 }! h2 h2 Z% v& v6 W  t, Q  z! L8 m9 Q( N
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+ k4 X% a7 i0 Q+ j/ T9 C# G
. t% y% X# P, T, {2 D+ [
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
' J0 y! \6 y8 w! I, c. b
8 p$ D. J: @8 G( g& y[ Last edited by playbr2 on 2007-3-1 at 11:54 PM ]

guswan

Originally posted by playbr2 at 2007-3-1 21:34:& r- P" W; H$ ~2 }
相信e條題目都有吾少人玩...

' D3 S) D4 K" f# {! k我以前畫左個chart去答,. A, \# J" Y/ o- p+ c+ n
等我搵下仲在吾在
& F; \9 `7 y. ~
4 p, K( L; Y) J當日用左37分鐘答１２粒波子，差７分鐘才合格。
& Z. j1 U7 d5 Q& e! q13.......... @% F# E0 R: F: p" Y

1 l5 V9 ~/ Z( B% s[ Last edited by guswan on 2007-3-1 at 09:44 PM ]

playbr2

Originally posted by guswan at 2007-3-1 09:38 PM:
) ~" M- M5 t0 S2 f6 O$ t% Y- q) ~! A* h! d
我以前畫左個chart去答,1 s- e# L( L9 x  L; E2 _1 }
等我搵下...

' O  B+ `/ S$ x' \

3 S8 \1 i7 h! 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:
# I- B) J4 q+ q唔識隱藏...已經諗到..

5 j7 d0 {+ l+ Z* K0 X' V% g* `7 h. ?8 \' y
sor !!!....e加改左* I0 D/ o  x3 Q/ X6 h$ L/ m

% \, r6 T, Y2 ^8 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
; y6 S* W9 b6 E( q
' P0 J- r" }% E  l7 _[ Last edited by playbr2 on 2007-3-1 at 11:55 PM ]

Triangel

Originally posted by playbr2 at 2007-3-1 09:34 PM:, K2 J7 w, y$ X
相信e條題目都有吾少人玩...

0 y& }. j" Z+ `2 ]1 ^0 f( k1 `

) S7 m" u; _% @9 N; i/ U( dPlayPlay, Let me know later who has the right answer and I will add points accordingly.! L' R$ o& V. c" i' v

* ~* z! d) F+ P; d" P% _Thanks

playbr2

Originally posted by Triangel at 2007-3-1 11:57 PM:
$ b' @0 O+ \) Z9 A  m1 _6 n; L% }, l. h
$ g) y( h0 g) I3 ]
PlayPlay, Let me know later who has the right answer and I will add points accordingly.  i. c4 B0 `# `2 z2 v) u& |

% _6 h4 P7 ]8 e; p' uThanks

4 K" s' B4 O) U2 g7 \- m$ Z# T/ }% w$ p. j2 t6 A" o% T8 i) V
不如你都玩吓喇....叫d叔叔加分咪得囉........如果岩既話

Azuma

1.* d0 d3 P1 |, X4 H; s
1-6 vs 7-12) D+ Q# t: ?$ X  q$ l
if 1-6 = 7-12     13 is fake
/ {. x  w) W3 y& X& f: C3 B- ]: n) I6 x4 T# D" ^4 ^& @! j
if not 5 s- W) K0 L, `* p& s
7 T* n# p, [1 b9 g5 r
Weight the 2 time
. ]7 \( Q( X# c* K/ `( O6 O1 C7 y : @9 @, I3 e+ ^" c
Suppose 1-6> 7-12) e9 l* @+ {% Z. l" C

8 ^  J0 a: G" g9 `: _1-3 vs 4-6 , P( {/ O5 f- E5 J# J
" u. |7 b' c# B! _
Then Weight the Third
/ B( x, U8 @' @3.' I- S7 W; b3 F

1 M: l$ o9 o# c; FSuppose 4-6 > 1-3
: y2 V/ U+ O# Q/ Z  B% v6 z/ q6 b) p, }7 l: G
Just like the first Step/ {( c# w( i* t" f; q; [, k- H
; o$ z, M& E4 z7 m% s( y! X  N
4 vs 5
6 @8 y5 O/ Y" v' R& g5 X/ ~5 F0 E! b
if 4=5 6 is the fake one 3 |' W* I( G7 Y9 ^

8 X7 Z  D4 `1 Y2 [( pif 4>5  4 is the fake one
7 |  _0 T' \  N7 ^' Z; D( e7 o$ G, V: C7 A$ P" x
and so on......................

hello1997

分3組4隻波子秤
8 ]+ l( I3 f3 V( {3 C/ v6 J
4 P3 Q4 v+ B6 U" t& W( XGroup A: 1,2,3,4# Y3 V' t! O* l% K
Group B: 5,6,7,8* Z6 w# m+ y! o
Group C: 9,10,11,127 B, b9 d1 A5 [. `5 C
Group D: 13; J- C7 W; d( R  z* a0 H& a5 ?

" d7 p- Z9 t0 qRound 1# c6 L# v5 v8 l( O# N1 d
Group A vs Group B
# Y0 y; C2 D! ~& Q$ n9 ~! l如A and B一樣, 即較輕一粒在Group C or D
3 ~4 N, r+ F8 S7 E0 ~; |& C$ ?! v. }2 k3 h
Round 2
: r, T& t: h- a7 g再在Group C拆成:
: l" p0 x9 _5 }& C, s; L+ H( [5 bGroup Ca: 9,10) B8 e. K5 F( [" m
Group Cb: 11,125 L( L/ Q  F5 ?  a6 K/ d
然後再秤, 如一樣, 即13為較輕一粒.+ O+ T4 M( s+ _, c
/ }) r- e3 ^7 u. h
如不同, 即較輕一組有一粒較輕波子在其中, . I5 S: F0 G4 {; r
要再秤, Round 3, 之後便知答案.& r$ `8 s7 o$ L9 F
# p3 S4 t$ M- A# a9 V, U
e.g. #1 假設10為較輕的一粒
9 x( ?4 \6 l; K3 d2 s7 C' `Round 1$ x- ]$ W& g) u9 ~* x9 S
1,2,3,4 vs 5,6,7,8 = equal$ Y- Q" k( D' K
3 Z. C9 w7 N6 I/ i& J
Round 26 p* C/ \: r0 O% W3 m6 b  I
9,10 vs 11,12 = 9,10 < 11,12% [8 t) Z# g/ L. s
+ x9 V/ `7 `  i6 S% g8 O! b% b
Round 3: }6 g3 i1 s. S/ U
9 vs 10 = 9 > 10
" r+ p* K) D$ k) B! q# ^7 e3 S8 x; e+ [( U: |. h% X  d
The answer is 10.5 y, ]! `/ N# i7 g  G

  P3 P+ {# n8 P9 V2 ae.g. #2 假設7為較輕的一粒4 ^. _( D3 h' b6 g, ~
Round 1
" c% v3 c# Z- j. l8 N7 b1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,8. p3 C5 |: C) h0 x: W3 V
3 r) x( P0 N- `7 V" Z$ J
Round 2
) z6 \5 o( D; l: k5,6 vs 7,8 = 5,6 > 7,8
9 G, _& v2 M* `5 L% L+ ^  @2 ?- }" f
! ~8 V7 c9 @: G' URound 3. h, X4 K, Z& w6 b* @# R
7 vs 8 = 7 < 8
6 \4 G! l% C* `: A) a) y3 F( Z1 v8 j
The answer is 7.+ i; d) t* e4 i4 W8 z/ l! Z
- f1 K% B) p3 s2 ?
e.g. #3 假設13為較輕的一粒1 u3 T% X# w* P  J+ W
Round 1
# ~$ \/ ~- e$ |* x) }, @+ D7 H1,2,3,4 vs 5,6,7,8 = equal
( e4 y# K' h2 S( r. @7 D- @/ \1 k* G& y' I
Round 21 Z' F. o3 N' v6 F( _) @
9,10 vs 11,12 = equal
7 T. B/ w/ v: w3 j& U6 e
* x1 N( j9 J$ g) ]) l% R. HNo Round 3
" C5 ~  z: p: r' ~- j' M% s* s. c
2 Z, g* W9 U- jThe answer is 13.
: T. o' H! j$ }5 C+ w' q/ H7 V
唔知我答得正唔正確呢?!   c; F/ U  b0 c5 T, H$ p, y
7 h6 i$ L; h+ L8 o. {
[ Last edited by hello1997 on 2007-3-2 at 12:39 AM ]

playbr2

Originally posted by Azuma at 2007-3-2 12:25 AM:
  m! B! t1 Z! |& _( l) J1 o2 k1.
; G4 j9 R9 S9 @% G; e5 G* d' N1-6 vs 7-12( h7 T( O' }6 O
if 1-6 = 7-12     13 is fake
( m; v/ Q: K/ m! n) L6 ]' s# S+ q; q6 N% |$ S% y
if not 6 Q- N" D/ }8 [; L/ J' S; H  g

( ?5 C& k8 W% i& fWeight the 2 time 5 F. o' o; q3 ?  A9 Z
% X: [5 e3 Z, k9 R, _/ |. l
Suppose 1-6> 7-12
9 _) t+ h5 ?' }9 K$ i. D# c2 J* _: {+ L/ v% o3 ?5 v. K
1-3 vs 4-6
6 ^& T2 L9 F5 w- r# z" f* t0 H! A+ E- H1 v7 y, D
Then Weight the Third- S. ~1 g! ^, q9 G% g
3." ]# \  h( T9 L" O

; D* B" h! z( G; |  ?( aSuppose 4-6 > 1-3
  u5 n$ ^5 a$ s- B$ @+ \, h& _; q4 _8 [5 \
Just like the first Step& A+ j& p. \* ?7 A6 d8 t
+ J6 ]: `# Z6 y  ]9 ~+ H+ P
4 vs 5 2 r, L# a  r. N4 Y; c2 C
' q- p: ^% r) u  p! a2 \* h3 C
if 4=5 6 is the fake one
( i3 @/ U, m9 H. q0 P3 H6 E; i' w$ H+ i/ b, T
if 4>5  4 is the fake one
/ s/ @- Y& g6 @- ~and so on......................

) x: S# L& b& }( T+ Z  r6 R$ r) H
2 {1 R6 s) }0 F0 c$ P
8 z% O  G7 h! U! [6 V6 _6 @問題第二步
- j% P4 c! K$ `) v$ g% s4 E% @. g5 Z5 l" u
Weight 1:  1-6> 7-12
6 O2 O" k- Z$ d% u+ e$ r4 H7 N' `+ b
Weight 2:  1-3 vs 4-6 , if 1-3 = 4-6- n% t9 n( p( b
- L% a* L( j# y/ ]- `* A
你第三步点去搵 7-12 边一粒???% `& x3 i" J% z8 y7 b9 a8 w
7 t5 m) l3 m2 {8 n* O1 ^% E
========================================
4 \0 N4 ?: @# h5 c/ J7 W! [& U5 ]
8 h+ R5 F* a8 [0 B# i0 g) N* Y問題第三步
  P1 l+ L& \; o. b: ]8 G! K: Y+ |: k9 o+ S1 z: ]
Weight 1:  1-6> 7-12! h/ c$ z, l, a; M% B
; g- m, Q. k3 P" t
Weight 2:  4-6 > 1-3 5 L6 F1 r* Z( |7 x

, K, l2 p& P& w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