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) b  G3 y! Z/ h3 |
, e* T7 h. f! h* }
『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)。
) h% Y% [9 s0 Q3 J$ Z& v$ E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？』( K% O% q7 ^7 C2 ~5 e/ B4 E

5 K1 {" O; c8 e$ o注意:
2 [* K9 |! d6 M- P2 Z
! q6 q8 [& v5 }" T/ p" 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/ |5 L2 k( P# N( L
  a( l- f7 m4 z  O2 x
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
* S3 G. p* V* \! [4 Q4 ^9 t/ t9 @- P
% d% G) t. ~" \2 M- |4 O/ E* p[ Last edited by playbr2 on 2007-3-1 at 11:54 PM ]

guswan

Originally posted by playbr2 at 2007-3-1 21:34:; V, }5 U2 ~7 y' z* j
相信e條題目都有吾少人玩...

% ]' q8 n5 ^1 Z; W/ `5 ~6 E2 e我以前畫左個chart去答,' \" g, e0 h/ U1 {, K& x
等我搵下仲在吾在  T5 Q# [# w! c, J. Y
' b" {4 s2 V3 n. ?+ w3 C
當日用左37分鐘答１２粒波子，差７分鐘才合格。0 S/ b+ m; F. t7 w  m) m: V5 \
13.........6 S/ b$ E2 j, X* W9 q, ~4 u) E
2 t+ u' w  |4 i0 h/ S  D4 q
[ Last edited by guswan on 2007-3-1 at 09:44 PM ]

playbr2

Originally posted by guswan at 2007-3-1 09:38 PM:2 D8 _8 G  S7 w4 c) o
2 r6 R2 j2 J' W2 v* d
我以前畫左個chart去答,; Z% c# g6 U* {# H
等我搵下...

) m0 y& u" ?) q6 p

/ b% Q" `1 g- ?6 T* m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; Q. z( E; C4 B  n: A' U# t
唔識隱藏...已經諗到..

: s4 z& f( Z0 B3 B% V
2 B. X4 y7 e; a. ]0 _sor !!!....e加改左6 d" b/ R/ O# Z+ F5 `- r: L- b

0 d5 K$ b" L4 Y# _  Q  D1 l2. 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- n4 D$ h! P) p5 `  X

; A/ \0 y8 I( j  I# ?" S+ 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:7 B/ e1 A! y1 O& R# d
相信e條題目都有吾少人玩...

: P" k% O( y: w# }
. b& c( c% L, ]" e* dPlayPlay, Let me know later who has the right answer and I will add points accordingly.
* V7 ]( I3 s& w$ j) z- a& F/ F* }7 d) E  q5 g! U$ K
Thanks

playbr2

Originally posted by Triangel at 2007-3-1 11:57 PM:
" x/ m) R9 P3 @) ?
7 s7 J5 y$ o9 \4 i
* ~( v5 O, E5 m: J+ Z( APlayPlay, Let me know later who has the right answer and I will add points accordingly.
' T  A- @2 I# u- {
5 A* ?$ K+ f% W5 R$ yThanks

+ N1 i! [9 @+ r* E! X2 u. ^% m; j

0 {! Y9 G1 h/ y4 o! ?+ b+ r不如你都玩吓喇....叫d叔叔加分咪得囉........如果岩既話

Azuma

1., \/ K3 o9 K9 f  a
1-6 vs 7-12
$ z) [) X4 G, S8 ^% J1 G% {& Gif 1-6 = 7-12     13 is fake
5 D7 Z2 ^7 B8 Z. i$ {
$ F3 r' Q, @4 x5 {" Hif not 0 ~0 A% G2 B% K4 D0 M: m
6 ~, ?1 X6 K5 A1 b1 K$ c
Weight the 2 time
5 L; m. i$ m  O
/ l/ R  ^4 u; a3 kSuppose 1-6> 7-12
# C9 k* t% w2 p7 n1 J+ j3 ^$ {  ^+ }0 R% j, D; g
1-3 vs 4-6
& o8 r& \' o' n
+ a* f5 b* x: _) d4 QThen Weight the Third" z7 c5 b" T( P, H: o+ ^5 G
3.
. [3 l# R" R* Z% v5 Y! K* U  }' k$ u/ P7 p3 _5 p6 D& R
Suppose 4-6 > 1-36 |+ {2 z# h! D# B, a0 W  ~

7 d; D- `- C3 z" `$ D" J! U' A8 ?Just like the first Step1 C0 ~6 a5 T1 u; [

. Q" G; x% f4 _" b8 h1 o4 C4 vs 5 1 g: y1 [6 h1 p

! `, V/ i" j1 ~if 4=5 6 is the fake one 7 v; G- x4 v! ?

. @! f9 I& a7 _if 4>5  4 is the fake one
4 F' g) a+ i6 ^  K1 {
$ K6 K1 ~: Q) k0 nand so on......................

hello1997

分3組4隻波子秤0 T/ Q. j8 ]- {8 O$ ]) ~0 U& [
) ^2 l; M( n, ]# k: E9 D( f4 F6 |
Group A: 1,2,3,4
0 I+ E6 Q4 C) l9 @Group B: 5,6,7,8; N- l, _3 Y2 v7 @
Group C: 9,10,11,12# C1 \4 f5 h. A- m" J
Group D: 13
+ W& b2 F6 n2 G: a
# ?: p. v3 i# h& c% o* fRound 1( b3 }+ p. v/ Z
Group A vs Group B
5 l9 c: r; n2 h5 k1 {! \, I3 P0 _如A and B一樣, 即較輕一粒在Group C or D
2 v1 W2 `! r/ f& @: n, R  F
4 Q/ r  X0 |2 u' ~Round 26 L) r5 `# @" S. l
再在Group C拆成:/ }: b1 K! X: C" F  O  B% b
Group Ca: 9,10& J6 S3 b1 D* F5 V7 M
Group Cb: 11,12( l8 f* E, j. g4 q& L# U
然後再秤, 如一樣, 即13為較輕一粒.
9 x, _1 Q* J5 {/ @/ e% B! Q- [; E: ^8 i2 M! }2 U5 O8 K! i
如不同, 即較輕一組有一粒較輕波子在其中,
2 s+ k' \( c( E2 G要再秤, Round 3, 之後便知答案.
4 y; ]) P* ?' t9 E0 Q9 M7 Z! S& F* _. u4 g' o
e.g. #1 假設10為較輕的一粒2 ?* ?7 @4 q% e, Q
Round 1
5 f# k1 U& ?1 Q+ r2 [0 e9 G1,2,3,4 vs 5,6,7,8 = equal
  Q8 c# c! N. H& O8 _) f- s2 ?% \0 T. e5 i
Round 2
5 K6 m" V" d+ P9,10 vs 11,12 = 9,10 < 11,12
+ w! }* ~$ o* P+ x* G6 a+ P  C1 [) Q+ p* R
Round 30 L; ^3 V% R1 H* X
9 vs 10 = 9 > 10
: @7 t1 ^% R; o. }6 g1 ]! m
* b2 F& }: I! q; \, _The answer is 10.
, ]! X4 C) L& R( a  x
/ R0 J# V6 c/ m2 a( qe.g. #2 假設7為較輕的一粒3 x2 F" ]# ^+ _7 J
Round 1
9 c3 i! t. \, U) I% ?1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,8
2 _* d% ?; R* s5 W) G
9 ?0 c  A' X( ~! M4 P' O: J1 Q4 h: LRound 2# `# J7 T/ Q4 C/ s* H1 a4 F
5,6 vs 7,8 = 5,6 > 7,8
2 |  Z! i4 A# i, K% T/ R9 X  G, s- {. K6 N% m3 q3 B7 J
Round 3
) H% M# i2 ?6 [: z/ }  z7 vs 8 = 7 < 8  V6 ?6 x2 t+ G9 O1 U6 q

' f6 \+ W4 t" V; j6 X) NThe answer is 7.
  B# f/ X. x% |$ R
8 r! q, n. @6 E  I& W1 Je.g. #3 假設13為較輕的一粒
  l' u! P# F: i) u0 S8 ~* VRound 1" Y  D) [& K0 W
1,2,3,4 vs 5,6,7,8 = equal
. g  v( r4 u" ]1 |8 B* R6 U! S9 y* x2 b
Round 28 q5 b, H: t" {
9,10 vs 11,12 = equal
. h. K: M* Q3 R% s/ {  D5 m, o
3 H% a+ d0 R6 [+ |/ q( l8 tNo Round 3( ?) L1 U- J8 R- L- M( u7 U
+ F7 {7 \# g& I+ n3 s. Q
The answer is 13.
7 L; b6 _6 P: h+ M  J% [+ q: U5 X
唔知我答得正唔正確呢?! + ~2 y3 ?: o7 p8 V, |
4 ^& D0 _/ r& F* M4 K
[ Last edited by hello1997 on 2007-3-2 at 12:39 AM ]

playbr2

Originally posted by Azuma at 2007-3-2 12:25 AM:
" F7 A7 Z1 g) {" W1.
: w: H  J! X! _4 b% s7 p6 O  K1-6 vs 7-12! z# B, `4 x2 @: W8 d) D7 I
if 1-6 = 7-12     13 is fake
3 N, F* T9 w9 u9 |1 r
+ E# L+ ]+ z- b5 |, o- F4 O  ^0 ~+ d0 Rif not
! j3 J" }* j, f  J5 ~- r( j3 _# \: ~. K7 B! Z) }( A  c& k: u# H
Weight the 2 time
# Z1 }' u  V- S. ^" W* t6 D3 g6 P) ~/ T1 D8 a  b. o5 D3 x
Suppose 1-6> 7-12
  ]: O& L: F3 _# ]  U
- r% y0 u1 h0 @1-3 vs 4-6
& w* w/ r5 ]  W" r) l7 {0 g- `) Q- E9 E0 g  r1 L
Then Weight the Third* `& }. @$ m. N( f: D& e4 K
3.7 f0 @7 O! D$ I4 |2 I& V

  Y! Z+ x9 C, j; A5 a. ?" QSuppose 4-6 > 1-31 h9 v/ C' s$ @

/ f. n3 A, C1 }% @Just like the first Step! R/ B7 I/ v4 L

/ l* D% E) Q# d* W1 X, S1 R4 vs 5 6 y$ @: ], j" x9 f0 l1 `2 m
$ e3 z) ^$ M3 x# G, Q' H1 D
if 4=5 6 is the fake one ( t: A6 v3 G& E8 d" J9 A

1 p* q% c# U1 K  zif 4>5  4 is the fake one
( Q! i; ^! ^3 A2 e1 A8 Tand so on......................

! u* i$ H: A/ m4 R5 p( i

( q/ S+ n6 h/ H/ }9 p
3 Y/ C# Y) G! D. S7 V6 l* y問題第二步& ?8 A1 K4 X4 ?' \& O

" X, B/ p0 K: `, J. A, ?Weight 1:  1-6> 7-122 _* j7 g6 p; y" k  G% F5 L9 Q
  |" S) j) }9 c5 s
Weight 2:  1-3 vs 4-6 , if 1-3 = 4-6
# W, ?+ r& L' ^; V' Q. l% B% Z$ }3 T
你第三步点去搵 7-12 边一粒???" n; S3 x4 ?+ n# a5 f
5 `% q$ e  Y- [
========================================
3 @; N4 V3 R; }5 q; X6 Q$ _# w) ?5 Y% v# Y. ~7 ~6 D4 r7 W6 ?
問題第三步: E0 k4 w; \1 B! Q
7 C8 n. p) _3 G8 l& n
Weight 1:  1-6> 7-12
. l; c. h8 y5 `" S- k
4 d  p' r. t( _+ y3 ]Weight 2:  4-6 > 1-3
7 \/ x' I' Y0 B% Y& d) m. ]2 H
' I$ ], ~+ w: R3 e  c( e) i7 m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