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2 n8 M' S( a7 D# ~3 @/ r  t, E
  `! r% u) f' z3 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)。& I" z; T. U, B3 f; 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？』# B' @( d9 _5 P0 e
) o% B$ n  k1 m7 h# f
注意:
* w5 q* z3 T) d0 E1 q; y" p( n4 p" i6 e" c0 n5 Z1 j' ]
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6 B6 S! L) n& n; c$ R

. A8 H$ J# @5 r1 W: T2. 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
% p  w3 ?0 [! C$ ^( o* n2 ]% x- J2 o' X( F
[ Last edited by playbr2 on 2007-3-1 at 11:54 PM ]

guswan

Originally posted by playbr2 at 2007-3-1 21:34:
- N& _$ j% P% p6 j+ f+ \1 T相信e條題目都有吾少人玩...

. L, J; a2 M, [% ?( Y8 w0 H我以前畫左個chart去答,
) O. X1 L' V5 C5 [6 I等我搵下仲在吾在5 D8 |5 M  p& ?  R& _

& ~1 ~6 l& \* B$ E1 O當日用左37分鐘答１２粒波子，差７分鐘才合格。. D+ \5 c6 H& Z  x0 Z3 C4 f+ m
13.........
' e, M. ~5 \% x6 }7 f8 Y% [5 C% i# ^( 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:* \! V) j) W6 E9 }; n: u
4 d' g  a1 B1 E+ Q! D3 T
我以前畫左個chart去答,
, w0 H1 e" C1 {) l2 `6 i' V等我搵下...

' o6 i6 j& }  U+ e
. O. U9 Q% [/ k* T! P* E& K# {
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:
% f+ j4 T$ B+ ]3 ~唔識隱藏...已經諗到..

9 s+ S/ [' O$ k" C2 @9 O
. i. V  W: ^- j* O6 asor !!!....e加改左- t1 N2 z; F8 T/ Y1 p, r) o

* t5 n8 C6 Z/ e4 A8 M3 M+ {6 p2. 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0 x0 e( w0 H/ E) c  Z/ K# y5 ]7 l6 g

& D# v' C1 e+ q" G5 d1 J# _[ Last edited by playbr2 on 2007-3-1 at 11:55 PM ]

Triangel

Originally posted by playbr2 at 2007-3-1 09:34 PM:) s, w6 v& s7 w/ S" o% D- K- e
相信e條題目都有吾少人玩...

0 O7 d. u% f7 v: w; `' X, h( X. n+ N0 i, h. l- v) `& }% d( @
PlayPlay, Let me know later who has the right answer and I will add points accordingly.
# r) O* a3 s& {6 c1 s2 |! g
- s, m% V  U2 Z5 e+ _( Q, VThanks

playbr2

Originally posted by Triangel at 2007-3-1 11:57 PM:
# b2 J6 b/ Q& L$ [* S. Z3 T
3 c0 z0 N6 Y4 h3 R7 t- n6 E5 |( D# A9 {+ f; Q
PlayPlay, Let me know later who has the right answer and I will add points accordingly.1 y6 j- L; d3 Q! |$ z+ X% H
! I: m* d4 y5 N
Thanks

2 E- l& z. A' y. r$ r
) E8 E6 [' O( J; t
不如你都玩吓喇....叫d叔叔加分咪得囉........如果岩既話

Azuma

1.
1 n% h- c6 F9 S7 P" o# u1-6 vs 7-12
1 g5 q4 ^7 l+ _$ x8 Sif 1-6 = 7-12     13 is fake8 }- w$ ^- t5 v( Y

7 t! y# n+ w. A' H1 U+ a' xif not # l7 V4 _* ^& {" M

& T; i+ I6 v1 }' ~+ k; Z! `Weight the 2 time
6 Q$ h# |9 K# w0 U - X$ I% X$ x3 U9 [  @3 ]. f2 u$ \
Suppose 1-6> 7-128 V) }( ]) Y8 u; h4 q

( @8 u9 K( e8 x. ~6 |7 T1-3 vs 4-6
/ e" u9 q. j5 P4 Y9 p8 g1 U* `( V7 t* T
Then Weight the Third
0 f0 h/ {+ j, l$ R( z8 Z0 h3.0 F9 [/ i/ j7 O+ s/ L" ]

* q: t7 r4 I9 JSuppose 4-6 > 1-3/ N2 P; a( o. U( J6 u
* o* T3 w' `8 l8 l8 ?7 H
Just like the first Step
1 K8 P- d- d8 U# ]1 Q) x- x9 u$ g1 K  o' G0 w
4 vs 5 " y" D( Q2 e: e2 Z" @" ]
0 f' u# w1 j9 z+ K7 S
if 4=5 6 is the fake one
5 g2 u: m" T& S5 ^1 O# F0 ^# t  N) n( {! [; J2 M3 p1 K7 o
if 4>5  4 is the fake one / x- m; @$ F6 y

; ?2 M& @9 n$ R7 W! s3 ^7 [% Yand so on......................

hello1997

分3組4隻波子秤. X; A$ J, ]* s$ z( I  B

/ f* o% O6 Z2 [' b* ~Group A: 1,2,3,42 z+ o4 B5 f- q# h! {) D
Group B: 5,6,7,8! `- `2 {8 P: U( ]% ^
Group C: 9,10,11,125 i! S$ e& g; a2 l4 i
Group D: 13
9 z  V6 H& P  p8 w/ q2 J
8 V, z7 G3 L4 r% N" r& ERound 1
4 p6 o! e8 E/ w" l, R/ Z# jGroup A vs Group B
# m% w; \( v% I7 u) y' y如A and B一樣, 即較輕一粒在Group C or D' b+ C5 s* U+ r* v. s# b9 T

2 [0 h8 Z: ^$ X) V3 v/ p8 A  zRound 2, }* W$ Q, m& r* u4 t/ L
再在Group C拆成:& ?  b5 I5 C/ ]0 J
Group Ca: 9,10
2 V( H1 n) c% m, i( Q4 rGroup Cb: 11,124 ^: v$ u/ a8 I, ~; F8 U
然後再秤, 如一樣, 即13為較輕一粒.3 v. o. O) `2 e* b# @: y% |

: T! M+ @' {" {' q: }如不同, 即較輕一組有一粒較輕波子在其中, 6 ^) Q5 D2 x& _
要再秤, Round 3, 之後便知答案.
" r# u1 @" w5 I: U  y# t! F6 f; ^1 ~' |
e.g. #1 假設10為較輕的一粒/ K( [! m: n! z3 ~' l' N
Round 1
% A1 p+ Z; X: ^0 o: Z( x1,2,3,4 vs 5,6,7,8 = equal; W% G2 d1 o8 }* h4 Y# s. ~* }
( _7 K! x$ Y; [5 }6 W: l; k
Round 2
# s/ I4 b8 j% z" ?6 R9,10 vs 11,12 = 9,10 < 11,12
% `6 S8 J9 E& s! ?1 r9 a( z: X; d5 o( S
Round 3
" w3 K, q9 E4 f2 b) c9 vs 10 = 9 > 10
7 o2 r' N# T. n+ ^/ X0 t6 K  k9 T# w9 s
The answer is 10.
2 V; D/ Q, r+ `7 K, P
$ c. B% B" u0 z1 G; Ne.g. #2 假設7為較輕的一粒
/ t4 a0 i* l- X( I& WRound 1* d: q; k) _4 @0 Q7 [& B' @
1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,8( K! A+ f0 ]% ~8 o  V0 w. C
* P6 M* e) T$ u7 v$ t; @
Round 2
* v, R: `! n/ A7 _0 L6 e% g5,6 vs 7,8 = 5,6 > 7,8
* u$ V/ k+ w6 q. s: [* H8 W, `! G& y) f
. d* s9 p9 n5 |Round 3% S8 K: M0 I( B/ f+ a
7 vs 8 = 7 < 8
* P! n; Q; l% M6 _' L4 _0 Q% m( `1 b6 k6 l$ }3 _$ \( }
The answer is 7.
( @  g9 u0 d8 l- `" M5 R
6 X0 F' x6 m8 S  _6 r1 {e.g. #3 假設13為較輕的一粒( Y4 P# G: l9 l/ Q2 I$ b
Round 1* s! _# H. n9 Z1 G0 o. V
1,2,3,4 vs 5,6,7,8 = equal  P6 a1 h- n2 O+ f( o

: P3 x( a4 H& N: MRound 2
/ i5 N0 l. i. Y9,10 vs 11,12 = equal" i$ s( c4 _( g5 r; v9 e

- B9 Z6 L, N6 c8 Q7 J  @No Round 3
9 ?0 w: B, X& ?7 p* g6 a+ I4 h1 z% |" ^9 {5 h5 ]! A
The answer is 13.( }( n# l& p+ Z

' q. R2 G5 B* D" w唔知我答得正唔正確呢?!
7 I1 {: q  G' K* u% R
% e3 L/ T+ ]+ W/ s+ `" 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:
" l) `4 d8 t( o' e! f1.* l0 c' P5 K+ L0 o+ @; _4 \" c
1-6 vs 7-12% U0 z, H6 _, f2 C: c! e
if 1-6 = 7-12     13 is fake* s2 c) J% }' d0 p4 P
. _; T6 f' `  p/ G8 l  h& _
if not
* q7 }: {+ ?, |4 B& I. x. {1 S" A" ]/ q. @% T
Weight the 2 time
$ J* J& G7 G. G. ^  U+ f
& f4 I, a0 p: KSuppose 1-6> 7-129 Y8 b! s- Z& O% B7 U9 I5 F& }( z! J

) C/ y9 r9 M; ^: j0 ^. ~; j1-3 vs 4-6 / {; f) }0 L" c
, \, r% Z5 B9 j7 l( X! l
Then Weight the Third
7 J+ b0 ~* `8 z0 l3.
" b" o/ j5 X  o  j( z7 f7 e1 y. Y7 m' K1 X) C' ]
Suppose 4-6 > 1-3
% z+ _$ w# v: L9 d* |" K$ ~) Y2 C
3 A0 W$ E& \# V9 v: I& e3 ^- [% RJust like the first Step& b4 D3 O# B% _* Q, ^& q% _, d

- T3 x. h  T: b7 U8 M, N0 R, I4 vs 5
) D' ]- m7 \' `5 e8 ^" ]
: E! x5 W8 n7 I* K, p1 |if 4=5 6 is the fake one
7 L/ s& |7 H* g0 H. E
9 l, U8 j; ~) kif 4>5  4 is the fake one % b% s8 Q8 b5 _# w+ X( {* q/ l
and so on......................

) @9 c8 y) b7 G# M( q9 W
) K5 ~/ A0 _' h; L% {: C1 j/ V
! K: G, [6 J" P: s! e0 _; C
問題第二步  c9 z8 J. w) A: v& Y7 y# h
/ N3 X; K' }% H
Weight 1:  1-6> 7-12/ |) W/ N3 a. b
% X& v2 k8 z$ U5 G! c6 V# D* b$ {
Weight 2:  1-3 vs 4-6 , if 1-3 = 4-6
6 ~, ~7 x+ i3 }1 k  Z5 q
- }+ p1 Q; `3 v你第三步点去搵 7-12 边一粒???
* R" \# W8 [# V; Q% h
6 a9 h" B8 G5 i. d========================================) J6 W! Q& j% o' r
6 y* N7 \0 V  O( k
問題第三步
! g" f. a1 w$ e% b  w- w- b* W6 r0 c' J9 ^  m% p
Weight 1:  1-6> 7-12
6 z7 \3 G9 A; b) r, }) w* l- I' r2 G* X6 a  T* n7 q9 p
Weight 2:  4-6 > 1-3 3 {) X7 N% ^; [  y$ ?6 Z

6 s+ F- N2 x: ^7 x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