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
9 E- _7 X* @1 Q8 o1 L, J/ e: l! g3 v3 `) h  T, 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)。
, r3 M3 }0 {9 ]& ^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？』1 M5 ?; b$ I3 g1 ^' i* x) h

* }# }1 H7 i% D6 _6 d/ _7 ?注意:
" g( G* g* y1 \' o9 ~! e0 u2 v2 \1 H
9 F0 Z) V3 P7 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4 p. v8 b* {, a+ [. m4 N

2 R. [# `  ~/ O+ h) H+ k( i2. 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4 @: m, U; u0 o9 D

- M7 ?) m& J+ Q) A[ Last edited by playbr2 on 2007-3-1 at 11:54 PM ]

guswan

Originally posted by playbr2 at 2007-3-1 21:34:0 @$ |1 t  S9 i" n/ Y9 s% C
相信e條題目都有吾少人玩...

( w8 V' d: W4 X9 \1 }我以前畫左個chart去答,4 t# _# V: h3 Q( f( e% }. |9 @8 [
等我搵下仲在吾在
* X3 K4 X6 a% U$ R5 d5 c" O" W3 q* ]0 p; a+ m9 |! n. Y
當日用左37分鐘答１２粒波子，差７分鐘才合格。
& Q3 V: G& Q0 N( g( n% W13.........$ U% {! C( h. V# ~7 f' }
) T$ t6 V( }! }6 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:
  ~, G7 D1 E0 J! z; Q  r
3 H5 Q1 y, Z2 q2 ^2 |; l& N/ t' Q! q我以前畫左個chart去答,
$ v  ~1 z' O$ J1 w2 i等我搵下...

6 h' D+ {- |9 W4 ]: G% v, y6 f- }" v: o5 }4 B, _7 n
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:; b1 S  c+ h9 i7 V6 C/ [
唔識隱藏...已經諗到..

' n) k- A% w' w9 S- }4 r& ?& H9 _3 F( \/ l$ O( d
sor !!!....e加改左
. ^8 @  a& W4 n/ S! C$ t1 K
& P5 p- M' j4 v: l9 o; @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$ V3 P* `6 V  P3 s

2 O# r  s: b: ?$ \/ @7 u[ Last edited by playbr2 on 2007-3-1 at 11:55 PM ]

Triangel

Originally posted by playbr2 at 2007-3-1 09:34 PM:0 _( ~% j# ]3 I  N) I
相信e條題目都有吾少人玩...

# H; [+ \1 H2 Y
6 e7 g6 w( K% q+ R2 \
PlayPlay, Let me know later who has the right answer and I will add points accordingly.
: ~2 ]( p; E# O4 a6 y% O. I. y
) p( |0 p  f( b3 r3 U8 H# M- q. CThanks

playbr2

Originally posted by Triangel at 2007-3-1 11:57 PM:
: k1 x8 W& }' H! s+ g. K* X7 W+ B" c2 B7 p
% ]5 o/ r' L$ S: b" T) V
PlayPlay, Let me know later who has the right answer and I will add points accordingly.
5 b+ P$ A: r2 a) j* u- @3 l* \) A( }
Thanks

& {# C& V: Z7 T' C% z
. v( D# p% z( ~6 ?& f7 r; h不如你都玩吓喇....叫d叔叔加分咪得囉........如果岩既話

Azuma

1.& B/ h/ x& u% o1 m0 N: R
1-6 vs 7-12
$ s; S* a2 D+ p" o1 J+ j) qif 1-6 = 7-12     13 is fake
2 M5 T* v' W2 ?$ a4 r$ \# ^7 ]
  Z& T* c! J: ~/ n$ ~- V& Lif not & B) g, |. {! m/ V
9 T7 ]' l/ n+ `' Y
Weight the 2 time
% i& J6 L, m& g/ O
! _8 p" c* o. w" QSuppose 1-6> 7-12
. s  ^( J- d% j" ]+ }% H4 T0 L9 S0 ?; F  [" R/ m
1-3 vs 4-6 6 {1 |0 E! ~' }' T7 h0 g

0 B: a' v2 Z0 [3 _' \, k8 aThen Weight the Third0 j1 r+ _1 |6 p) N9 m
3.8 {- ?! I) ?  I
( ?# G0 m& _2 t1 t/ R- Y3 b
Suppose 4-6 > 1-3+ t: ^  @4 e) I' i0 b

+ Y3 K& ]1 W! W# T: ]4 zJust like the first Step
8 l2 |. @- [  b' Z' P8 }' w
4 F9 W) T6 `. v5 i3 V- ]4 vs 5
  E' \' V& u# F3 |
) c" F: O: U' g6 Gif 4=5 6 is the fake one , [# C3 @; v& X0 Z- N4 z( b

5 N; `7 t  G4 Bif 4>5  4 is the fake one 3 H: d0 w9 l! X

: Y5 H3 p" q/ t3 I1 P7 Pand so on......................

hello1997

分3組4隻波子秤
* z. M- O+ w  g, z5 o* `& ~" y4 \( f# G) {6 h) `7 h3 D2 _, j
Group A: 1,2,3,47 @# G' J/ Q: }! O+ D0 J: P
Group B: 5,6,7,82 N. C' d$ V% D3 L; H
Group C: 9,10,11,12
- `7 a3 h) e) H, A. T4 tGroup D: 13
3 M( q) ~& q  z' @/ T- _4 x5 j, _9 y& E
Round 1
" L4 w% I% R2 b$ Y# `. g$ aGroup A vs Group B
2 j# o# I6 f2 |& i" @如A and B一樣, 即較輕一粒在Group C or D( I% M+ x8 ?5 P( F5 C9 y

- D, X3 O/ E6 y( YRound 28 p( }' j5 p' v2 W* `1 I3 Y
再在Group C拆成:
5 y* B! ?4 Z- pGroup Ca: 9,102 r  g( Z5 [7 K$ y' V! P
Group Cb: 11,12+ f* p! n- M' C0 v$ a4 k
然後再秤, 如一樣, 即13為較輕一粒.- G2 n5 d9 x; R: j* e
% ^4 z$ h3 X; \% Q  r+ q
如不同, 即較輕一組有一粒較輕波子在其中,
1 `- U# Z2 p- {. X要再秤, Round 3, 之後便知答案.
, D- A  H' u* W; I( Z  P3 h3 g4 D' f9 S# T( ]6 B7 E
e.g. #1 假設10為較輕的一粒
0 D: b# k5 _' g2 T0 XRound 1
% c. k; G" g$ T/ |% \; a1,2,3,4 vs 5,6,7,8 = equal* q1 h  r. g5 f2 \  R1 B5 h

" H9 n% a8 K* U) q, gRound 2, z4 ?& G, `  v% \& N0 Y) M4 a
9,10 vs 11,12 = 9,10 < 11,12  K3 M; U8 u/ R2 x, y3 ~+ {

! u  I) T% R$ \3 D; P/ M2 sRound 39 q# ^' n5 G4 T$ o9 s4 j
9 vs 10 = 9 > 10
: J) v! r# l) _, }% [' J' U. I% t( [* `" O! g8 c1 V
The answer is 10.
1 f0 d7 q: N' |3 ?; E" ~
- E# z4 p3 O$ x, h+ N3 ^$ L2 G( {5 Ye.g. #2 假設7為較輕的一粒
, K5 c4 L8 J9 LRound 1: ~$ E6 f# O8 V3 s  Z; h
1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,8$ B2 @# W7 U  Y7 O5 ?& S
' ^" M8 L% [% P8 N0 P3 {
Round 2
/ r, Q3 ~, v6 Q% N- y9 v& _5 o9 I5,6 vs 7,8 = 5,6 > 7,8: D' ?) r5 C1 y
* R' M% g5 X$ o
Round 3
* c; s$ R0 U+ r/ X/ Y+ {7 vs 8 = 7 < 8
( y) F8 M+ `) E3 F3 R  z* ]2 u* y2 Z0 o9 g) c
The answer is 7.
+ {4 ]0 M) o  i" d* _
# {. w$ d4 S4 w$ _e.g. #3 假設13為較輕的一粒
) ?! n4 ?  J2 f+ n& p( Q* URound 1+ ?+ G' ~0 `* x! s. {9 {
1,2,3,4 vs 5,6,7,8 = equal; k2 [4 S  F. F8 E8 R5 i6 ^
2 D  H( f0 D' Q! A. K
Round 2
; }% b0 @$ J: T# F9,10 vs 11,12 = equal- v# Z5 a" F, O! D% r6 r, o
8 ~, |8 O8 c& M* }/ t3 q
No Round 36 A4 w, d, @% t& B9 n. t1 y
. O2 p+ W6 L" _% M  x% X
The answer is 13.
7 l) w) p7 @$ j; N' c# [! p$ k" H; N$ D
唔知我答得正唔正確呢?!
& g; }: b4 x& `, D5 }2 l' f0 X7 g. [+ W% l7 R
[ Last edited by hello1997 on 2007-3-2 at 12:39 AM ]

playbr2

Originally posted by Azuma at 2007-3-2 12:25 AM:9 m! Q& X0 k( T1 \
1.  t; _( r. g8 x
1-6 vs 7-12) @5 z' f. o$ {
if 1-6 = 7-12     13 is fake
) ^+ G: j; W" `) S5 i; x
& x3 r# t* |6 Q' T# kif not
: ]3 D7 m2 ^& @6 z2 S& k- ?8 G# R' H/ l  V& a/ k* g: P7 t
Weight the 2 time - D7 m9 M* Q8 \3 C6 p, E$ X

+ N7 X8 i# E+ p, G+ L2 y3 V" mSuppose 1-6> 7-12
2 X! k- c+ A( o( x0 D: D8 `, x- o  ~8 l2 ~6 w* ^0 R3 ]
1-3 vs 4-6
" G1 r. I4 [( M8 z% y% ~* L# o" `* L5 ~) w4 |- K( X  P  q6 P6 M# `, {# F
Then Weight the Third- k% y' s8 t9 ?$ ~! M% E6 E
3.
; O( [. S0 i% _% ~4 q4 s- }$ |
3 }+ O- Z# c. S* D. `) HSuppose 4-6 > 1-3' k$ s# T4 n$ ]( ~  M) h

0 V& n( a; I! p) V( H  h$ A' C4 MJust like the first Step
# o( q8 w2 Z" _7 O/ q% @/ A. b
4 vs 5 / x2 U) x; B, c& f) x" B
$ D4 F3 l. y' _9 J
if 4=5 6 is the fake one
! T$ R7 n& d( n4 ~
' n! I+ l. `) vif 4>5  4 is the fake one , P* v% F% t; @. d
and so on......................

# w3 ?) E+ z* O, G8 p

9 v5 @& @0 g/ b3 r8 _# z4 l# A# D$ p: E, T( z0 V1 |
問題第二步+ n2 k; d3 f! d+ j
# G0 U* |6 Y; \: R
Weight 1:  1-6> 7-12; t* l  N$ c0 C8 x0 y

/ Z- ^, `* a. m5 F; \Weight 2:  1-3 vs 4-6 , if 1-3 = 4-65 `  D  Y5 K& s/ G. _
' k- K' B2 h2 y( Z" {+ \3 [& Q
你第三步点去搵 7-12 边一粒???# c! x6 S! ^5 z, e. k

2 A) O6 u. u$ }6 u========================================
! ~" j) k5 s- b' A
% j; h9 y$ X5 `問題第三步
3 a8 C4 W  S: \; Z& j: v/ _4 z; G$ R/ M: ?4 }( U1 |
Weight 1:  1-6> 7-12: L# u/ `' D, |* ^
: G+ ?/ j$ |* ]2 A, H1 t
Weight 2:  4-6 > 1-3
: l; H/ V" _/ w9 v" R: V3 k0 O! Z" Q
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