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
1 S8 ~8 ^- h# C+ v
- N4 T/ Y. \2 x『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)。
. ^- |# C. T) ^3 S' p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？』
; q- Z/ _: g3 W
% d! r6 b: A4 ]2 ]注意: - j( z/ R# |9 p+ T' b2 B( x  K
* n0 a/ }4 r0 W+ Q$ T2 P
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
( p" L' }9 W# i/ E5 K: t6 ]: U
! S6 `3 B0 ^8 V2. 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. [: d- i/ Q5 F; a4 D+ V: I
" |$ i3 ]; h$ {# Z& |7 ^
[ Last edited by playbr2 on 2007-3-1 at 11:54 PM ]

guswan

Originally posted by playbr2 at 2007-3-1 21:34:8 _5 `( O. x7 w
相信e條題目都有吾少人玩...

. A) f3 \% r$ ^( N3 k$ ^, P
我以前畫左個chart去答,; h1 \; z, K; J: P& f/ U7 d
等我搵下仲在吾在
* L# A# m: U: |: n( l. j# Q
8 f, k) [) |: X6 ^* D當日用左37分鐘答１２粒波子，差７分鐘才合格。; v( |, z/ I/ L% x4 p. l3 r6 j
13.........
1 ]6 }, s9 U( H" F2 v+ O1 J
0 d' J9 ?* P  f) c# _" ~7 u8 r4 ^6 ^) p[ Last edited by guswan on 2007-3-1 at 09:44 PM ]

playbr2

Originally posted by guswan at 2007-3-1 09:38 PM:5 E  k. p7 [7 ^+ T( i; e( O# @

" O  C" J8 v1 f- r我以前畫左個chart去答,! C- U. O5 |9 G  z& m
等我搵下...

& J. D. m! w9 q8 Y9 M
2 a8 O) q( y+ ]3 O0 ?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:
- s  X; d8 L' Y) A唔識隱藏...已經諗到..

0 V4 a$ E2 M2 n3 G& m
$ Y0 F1 l8 Z" e( N6 vsor !!!....e加改左" L/ Q) c  Q# ^8 n" n

) S3 p- o* j' @0 h2. 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8 f4 a/ z6 ?. @# m6 n/ |! R$ U; s
) F/ z1 g) l4 e0 p, b7 E$ d
[ Last edited by playbr2 on 2007-3-1 at 11:55 PM ]

Triangel

Originally posted by playbr2 at 2007-3-1 09:34 PM:
! X1 F* b- ^+ i" |! c4 n1 ]. E; D相信e條題目都有吾少人玩...

; B6 f! ~$ t% S, b

6 J& g! n5 X5 qPlayPlay, Let me know later who has the right answer and I will add points accordingly.+ a, A" U  o8 F9 {
; |4 @2 k2 O: i, n8 p7 [1 X
Thanks

playbr2

Originally posted by Triangel at 2007-3-1 11:57 PM:( f4 E% H, c# c

3 y; Z* F. ]( z  M6 h( a9 r2 k8 s- u5 S- C
PlayPlay, Let me know later who has the right answer and I will add points accordingly.0 s) W8 W3 _/ Q
# ?0 E3 t9 S7 v: f( z# W
Thanks

# q% G9 U$ ]! U: Y7 S3 t  r. \2 I* Y. V5 ^! _0 i* {* @8 l( D
不如你都玩吓喇....叫d叔叔加分咪得囉........如果岩既話

Azuma

1.( u  ^' X: K, G9 V4 s* d' |7 R
1-6 vs 7-12
) d# g6 s+ h- h. fif 1-6 = 7-12     13 is fake0 Y2 E1 f) e6 \8 \# U
1 j/ k2 l9 x$ ^/ S% e: c) y4 u
if not ! T# h) u( |/ y3 k! w4 q; C
0 B) y$ P" l$ V& ^5 G) y
Weight the 2 time # T  `* B( B. |) f

: q( T8 {0 R# FSuppose 1-6> 7-12
) Z4 T' ^. @* ]. K: ^, |  Y7 o- D2 h! R/ O' @9 t
1-3 vs 4-6 ) b; R6 v& V7 k0 O( m5 K; X3 a1 g/ _

; M# r9 L& [' @8 eThen Weight the Third% F, f$ W1 B8 R1 R
3.
* n  n" B1 `3 b$ I/ C+ U$ x5 T6 E5 g% Z# w/ t) H2 e1 d5 [
Suppose 4-6 > 1-3
! u5 |7 i5 d1 V8 x; |8 ^1 p/ Y2 W" h( H. ~- M' L( q3 N5 w
Just like the first Step6 H' J4 ?9 S- v1 V

( a5 X0 d: h' X! k2 ~4 vs 5
6 K. O( S6 D5 F& i% [6 e) ?: q' l5 ~) ^6 }7 a# x+ \
if 4=5 6 is the fake one ; X6 h4 E# A+ r- k
+ d* [% B5 S1 f$ w. H; X
if 4>5  4 is the fake one 5 `7 D( m% y" x4 K1 W
' ^4 m2 B2 F5 j1 d
and so on......................

hello1997

分3組4隻波子秤! `' M6 r7 {3 h/ R8 Z3 H
! i& Q& I& U* J. U; U1 i& l- ]
Group A: 1,2,3,4* O, y! v4 B5 e% s, ^" g. n3 @0 p
Group B: 5,6,7,8$ B; B6 b$ n8 l7 `, q; Z
Group C: 9,10,11,12/ V  J4 B2 D) c1 F; e
Group D: 13$ }  P$ k( \. k1 G& e9 x1 g- L' _

# `+ z7 F' o6 ARound 18 p4 C6 d, E) r1 t, M/ m
Group A vs Group B
8 w! {; ^' d% V如A and B一樣, 即較輕一粒在Group C or D, B  m8 V% _$ H; w8 H! n; Y4 _% ^
* N/ A! ~1 U! d5 z
Round 2
( r0 M0 z3 p2 S- G. |1 w再在Group C拆成:
7 K( x3 U+ k, @+ Z$ e, k- q% qGroup Ca: 9,10
! M4 T8 y# r, k) ?' eGroup Cb: 11,12
/ d" F* E5 f1 W3 I$ {9 D" ~% c然後再秤, 如一樣, 即13為較輕一粒.- {& u& a0 t: _, I

1 d5 `; W5 ?4 H5 H2 q如不同, 即較輕一組有一粒較輕波子在其中, 1 w+ c9 p& y7 R3 O# B* s2 r
要再秤, Round 3, 之後便知答案.
6 y2 q& g% ]1 ]! j* ^# H1 w% M; a, X1 G
e.g. #1 假設10為較輕的一粒- P6 V! ], y/ y6 P2 n+ v; |# j
Round 1
# W' J4 ?% F( M: n1,2,3,4 vs 5,6,7,8 = equal. Q5 q" |: ?. @) s

* a  _  z$ n% u" @. \" N8 f+ KRound 2
/ g) m, V# _+ l# ]: L. K9,10 vs 11,12 = 9,10 < 11,12# m1 r7 N; U( j3 o2 ]
+ Y8 p; ^! ]" Z  P9 q0 H
Round 3- |9 m6 S0 i0 Y
9 vs 10 = 9 > 103 h) J( g  M  [! K5 @5 k
; S% m$ c. ^6 I$ C. T
The answer is 10.4 \1 {) A$ N8 x  I# ]- w: ^4 f
6 m( o# d6 Z+ P  Q5 M" n& i
e.g. #2 假設7為較輕的一粒
# N! {$ |1 O+ L6 l; K9 W# Y  L# T# O  SRound 1
9 V" @0 C) \; Z- j- K1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,8) X/ Z+ _/ s4 d+ d2 `  s4 F
6 }) D2 b- t5 N  [2 @- r
Round 20 E  T& {3 r4 r# n# A
5,6 vs 7,8 = 5,6 > 7,8
% }8 a8 h8 @! ^, M% e. e0 Q5 k, \+ N0 z) Y/ A5 K8 B) A. P- h9 i
Round 3  M- I/ |: x# B( k# W3 [
7 vs 8 = 7 < 8
2 I9 B3 D% [9 _! b5 ~/ ?/ _3 g$ o1 M( |6 w- M, J
The answer is 7.
9 `# Y: ^0 x6 j  ?* O
, F  z. Y8 I6 be.g. #3 假設13為較輕的一粒, W* g. B1 ^1 D
Round 1
" r& o$ _- z" H" G, N. U# e1,2,3,4 vs 5,6,7,8 = equal
: n4 p2 k3 ]' P9 u: J' a& b! A+ P! n# F) X% ^; S. t  N2 l; m
Round 25 f. N, |2 Q1 l( ~
9,10 vs 11,12 = equal
7 M5 ]. ]& F: K/ ^, k6 b6 a  i5 i# A% m
No Round 3
) d% I6 w% u6 a- V6 m! Z" F
4 \3 Q2 V& B. f+ r1 P, dThe answer is 13.
3 ~6 Z% U$ F; v% w1 N" g% A) |3 x
/ F! H- I, ]( r1 H- J# o( P唔知我答得正唔正確呢?!
+ X( h5 q7 l0 \- X$ i! K- K
& X; [0 d' f8 M& V% U" H; p# D, b[ Last edited by hello1997 on 2007-3-2 at 12:39 AM ]

playbr2

Originally posted by Azuma at 2007-3-2 12:25 AM:) I# j9 ]; {( Q1 m  r
1.
$ B& p& k( U7 }  a+ Z3 n1-6 vs 7-12/ k8 P: l" p) D3 y
if 1-6 = 7-12     13 is fake* v2 Q3 @; o: j+ u. M# H

' b, ]" u" T$ t& K2 B5 Xif not + Z# W+ \# N" C" F- @

1 \' t+ K  g3 d$ B% M" ]( RWeight the 2 time ) @) D4 Z. B; B# s# M9 F

0 U" g* P4 ]7 K% wSuppose 1-6> 7-12
) d1 X* [9 l, w/ j; u- ~' k0 P, g7 o6 ~7 }$ d
1-3 vs 4-6
; i0 d2 G$ Q; |- b" T4 e3 R) t: d" m  C. I
Then Weight the Third
/ J$ a  _6 _* `, \% u. F, J3.3 L: h3 w- Z: c0 G' D
' [8 R+ t% L$ D2 L# a
Suppose 4-6 > 1-30 M0 E* _4 J2 Q/ b2 F
1 T. u  J' \0 Y' S
Just like the first Step
$ K% c" i0 h2 M. t  A
. P" b+ ], w6 Z" F6 `! M5 ^4 vs 5
* N4 z( J7 d! y: v, V3 w/ D* R0 D/ N0 D( }! J
if 4=5 6 is the fake one
! K% k; _& k" X6 M# n
, A: d* _; }  Bif 4>5  4 is the fake one
6 s6 Z  E6 f8 D1 M6 hand so on......................

% g6 q2 j! s9 R! s& v6 s, T/ W
5 ]/ W- o% ^  c: Q# e0 w/ H% M. K. ]8 V' n- ^  x+ O, G
問題第二步
' [+ |" [7 g% ^6 m: }: ]' o( |: t$ V7 ~* ^# s
Weight 1:  1-6> 7-12
5 r8 y6 S  P1 k0 u# M; m" @; X6 j7 Y
Weight 2:  1-3 vs 4-6 , if 1-3 = 4-6& I6 h3 w: j# U! d0 P
$ d4 V+ o( _: u8 I
你第三步点去搵 7-12 边一粒???( S* M) v6 k3 H9 e, U  h
$ T& R/ n% C' A- y2 d
========================================$ D( p0 p7 X8 ^2 m" Q/ Y; H
% c* Y* s" S' m( R+ M
問題第三步* }3 D1 Q7 T5 q2 Y
6 x: C* t7 o1 d5 Q& x8 C/ S
Weight 1:  1-6> 7-12
2 U& f: _1 D% ]% i# J9 h' W" x! v' A: `4 F4 A
Weight 2:  4-6 > 1-3
0 k& ]9 C1 B0 X; C! B
. h% t9 ~2 \5 l# y" L/ u; D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