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
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『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)。
/ ?: ?) a/ [1 i( s5 `& O) p4 y, q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 X1 h) f3 s2 s( {+ `
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注意:
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2 K& X8 S5 q. l* O1. 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. B, @1 D% l* |% y4 N. i
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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, [6 I0 X. w3 M0 P9 g8 y4 \: i9 U0 L
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[ Last edited by playbr2 on 2007-3-1 at 11:54 PM ]

guswan

Originally posted by playbr2 at 2007-3-1 21:34:
7 S8 _+ O8 N  w2 B# Q# j相信e條題目都有吾少人玩...

% }! p! a: ~+ Y3 G: m我以前畫左個chart去答,: a/ h, O: r2 J: a, a
等我搵下仲在吾在* c, `4 Z" ~- U+ Q/ a% m

! j4 L; Q# U8 h( A! _當日用左37分鐘答１２粒波子，差７分鐘才合格。  p7 \; r$ m6 o
13.........
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[ Last edited by guswan on 2007-3-1 at 09:44 PM ]

playbr2

Originally posted by guswan at 2007-3-1 09:38 PM:. n$ @! ?2 G, N* W' Y; M5 J

( x! g; m* Y; n  K& P( z我以前畫左個chart去答,7 f8 F# i& n2 T
等我搵下...

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) [: H4 i8 j1 Q- a3 F* z. ^' G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:
- l$ U2 {$ F8 d. f5 t! D唔識隱藏...已經諗到..

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sor !!!....e加改左  j; A( j6 A' [- I' K& F# D! D
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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" l7 R3 @) k7 E) _8 D

  L+ `7 K: N+ X  O- t: T0 ~% }[ Last edited by playbr2 on 2007-3-1 at 11:55 PM ]

Triangel

Originally posted by playbr2 at 2007-3-1 09:34 PM:
+ O! O! Z8 {- l3 _, U7 v" t# ^相信e條題目都有吾少人玩...

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PlayPlay, Let me know later who has the right answer and I will add points accordingly.
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6 \; P# x- d- {: Y! `' g7 q. o5 ^" WThanks

playbr2

Originally posted by Triangel at 2007-3-1 11:57 PM:
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PlayPlay, Let me know later who has the right answer and I will add points accordingly.
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Thanks

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+ ~0 M. x- B& p+ e" `/ V2 c不如你都玩吓喇....叫d叔叔加分咪得囉........如果岩既話

Azuma

1.3 Z, T/ R1 i* l
1-6 vs 7-120 D. K9 b- u: p( ~0 W. O9 w3 I# ?8 U& k
if 1-6 = 7-12     13 is fake9 `- ]8 b& P0 y
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if not
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. L  G- Q  I: o: N& v( wWeight the 2 time 3 H" S2 `3 a% W, t
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Suppose 1-6> 7-127 N  ~$ s, ~' z7 `$ O# ~0 U( {
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1-3 vs 4-6
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) {6 |5 \7 L7 T+ O8 K1 lThen Weight the Third8 {* J4 {; r' L3 W, I" @
3.1 K7 M$ H- ^. s! Q. }: b
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Suppose 4-6 > 1-3( ^3 A3 \6 j: i1 {

/ `: q: T; L0 F3 }0 i6 UJust like the first Step
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4 vs 5
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if 4=5 6 is the fake one 4 a- j3 s  }3 A9 P
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if 4>5  4 is the fake one ( A5 W7 t% q% W9 l7 w* ^6 W* L+ F

5 ?% e7 n# @( L; x9 X+ {and so on......................

hello1997

分3組4隻波子秤# K7 m% V9 l5 ]( E4 I9 ~: D' {7 n

: B7 A0 x" P1 k* m+ JGroup A: 1,2,3,4
- Z. y6 _* k7 Q. @/ A3 ^Group B: 5,6,7,8  K$ l, h3 s- O. b1 r* _5 @
Group C: 9,10,11,12
  q6 |  F3 @% ]$ C' e4 T, ~5 M# pGroup D: 13
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Round 18 F  @4 j. c( t
Group A vs Group B
7 E, k$ }* e" x+ T& K0 E" z0 P1 l如A and B一樣, 即較輕一粒在Group C or D& H$ B6 a: _4 `# {2 m

  o6 j5 w0 u4 J  K2 vRound 2
/ M0 @7 F4 N/ r% H再在Group C拆成:! [; {0 P( O- ]  \. J+ ^  d
Group Ca: 9,10
$ p  U4 @% B' T  M: F* M4 EGroup Cb: 11,12+ b+ d5 h' t6 k. f9 W4 P* i7 I
然後再秤, 如一樣, 即13為較輕一粒.: e6 S2 O; _* h1 u

. a- z, Q7 ]9 `! l2 ^: W2 p+ G9 f$ ?3 ~7 b如不同, 即較輕一組有一粒較輕波子在其中,
$ [# F% L! {. {; _* [3 q要再秤, Round 3, 之後便知答案.
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0 p) f! x9 x0 W$ p0 [; }) ]7 de.g. #1 假設10為較輕的一粒: a# b6 _' T$ X1 b$ u
Round 1
& T& k, U4 n( M5 ?5 E5 ~9 U1,2,3,4 vs 5,6,7,8 = equal) C3 R' ?; h7 j' B1 ?
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Round 2
) G; G  C4 a& b0 G+ k9,10 vs 11,12 = 9,10 < 11,12
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% a, [# _6 M- D. Y" B4 _8 ORound 3: U( S' u  M) D9 Y* U3 Z
9 vs 10 = 9 > 107 v1 c& \) n9 I- V$ S
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The answer is 10.- ]/ j4 M/ M4 M+ U, a

9 Q5 |% ?' i( a8 f* t% ^e.g. #2 假設7為較輕的一粒
7 P" V* m& c5 G* U! dRound 10 w7 j$ B' t$ S
1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,8; ?" A- j- }% v
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Round 2
2 J$ `/ E7 o7 t5,6 vs 7,8 = 5,6 > 7,85 H! K# x) j- r

: y$ q. i& u( |8 j/ v1 w1 z. cRound 3- O9 J9 g% R5 `) l' [
7 vs 8 = 7 < 8  W3 G1 {, Q9 F% l! ]
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The answer is 7.
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e.g. #3 假設13為較輕的一粒
# c& C% I* j+ xRound 1
) c" q, @" i7 v9 u: K1,2,3,4 vs 5,6,7,8 = equal
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Round 2; e4 U* j$ R2 ^. v1 Z6 O( N  D3 L
9,10 vs 11,12 = equal8 N0 v( E" W7 Y, }6 D/ u* z

4 E8 H& D5 Z3 p+ aNo Round 3: a2 H, U! J( P/ C% h# i& v# R

$ j3 b" S2 h3 A4 s# P: t9 P: t; YThe answer is 13.2 |4 V  a' \3 I# S4 x$ s" h- B

) a) G, H7 b2 U唔知我答得正唔正確呢?! 4 n8 \8 P8 u- z: K* d6 _7 T* G
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[ Last edited by hello1997 on 2007-3-2 at 12:39 AM ]

playbr2

Originally posted by Azuma at 2007-3-2 12:25 AM:1 Y1 d( |" ^2 t. H$ m
1.
# f" t; Y' s7 ?. m1-6 vs 7-12
$ [% ]* M* q' t# Bif 1-6 = 7-12     13 is fake: i8 {) N: T( O) i' J; |( ~' B

! w+ W) B  N2 f3 C7 s& tif not 1 j3 T6 X6 S+ H3 e

2 ~( ~" a- a1 u2 yWeight the 2 time
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! w& d0 B& ]- M, f! a1 M! TSuppose 1-6> 7-12' T' B! t8 ]. X' p; {" `

' K, }% Y3 T6 X' F4 B1-3 vs 4-6 + M- W( f4 `; ]4 i4 `. C
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Then Weight the Third# |; A  L! a3 r( s* a1 e( B; z' F
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Suppose 4-6 > 1-3; p; j9 w8 b4 W4 b9 Z2 p
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Just like the first Step9 _, }/ [; m4 k4 v! ~3 A& l
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4 vs 5 4 I. Q1 j% \9 }1 Y) o, O/ Z. J

; Y! E4 g) u3 u- _if 4=5 6 is the fake one
5 g: K2 U7 S0 c7 N4 d+ r- v3 x) g# q9 n1 m8 L" ?
if 4>5  4 is the fake one
( D+ \0 [$ N9 |/ aand so on......................

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問題第二步9 C0 ^. a1 \, e0 M- X. |
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Weight 1:  1-6> 7-121 V1 O+ A6 g- t( |

# r) u" c4 h" [1 K1 V$ iWeight 2:  1-3 vs 4-6 , if 1-3 = 4-65 \/ ~6 J) |% W
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你第三步点去搵 7-12 边一粒???; o. t: S% ]/ _' a  H) h9 o
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========================================
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& n" C' o, Q: B問題第三步7 y! T8 g5 G: |8 d" p

; b. ?! O, d' lWeight 1:  1-6> 7-12# V: u! }5 a" K/ H3 F; Q5 E" u
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Weight 2:  4-6 > 1-3
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4 n" Z. W2 |  O4 M4 }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