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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( k& D3 S3 V  a『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)。3 f+ R1 i. {" b* b) y
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？』
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' o  j2 I2 t/ `% N) }注意: 1 t! {% y9 |" c7 b- d

0 D2 p/ K9 C2 j: H1. 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9 S* B1 u* w# K6 I
1 x5 _6 t7 {. H6 S6 b, b
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( t  m. T) ?) |7 ~% [0 O4 u& ^

: Y' j% ?6 A. N' c6 ^9 Q[ Last edited by playbr2 on 2007-3-1 at 11:54 PM ]

guswan

Originally posted by playbr2 at 2007-3-1 21:34:
7 ?( ]3 I* Z0 ?# l; t# H5 B相信e條題目都有吾少人玩...

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我以前畫左個chart去答,
0 k% t% ]2 f& H5 G- w6 A  `等我搵下仲在吾在
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! r- a, Q, p9 z. |: q7 |當日用左37分鐘答１２粒波子，差７分鐘才合格。$ g7 s/ y- ]5 d$ N8 E
13.........1 K: T* i) W3 A5 O3 P8 s
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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:. H' n$ |4 S4 g  G6 Y0 e% x5 U
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我以前畫左個chart去答,
$ o  p2 J& z0 M: h& I$ w# w等我搵下...

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1 _$ ^4 @5 F9 ^1 ]. ]  K. h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:
# m8 P9 I3 t& i, I$ w唔識隱藏...已經諗到..

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/ O9 A; J( C  x- S' }9 H6 ]! isor !!!....e加改左0 j2 Q# Z3 u* Y! m2 H
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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( ]' b" y5 _/ d: L
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[ Last edited by playbr2 on 2007-3-1 at 11:55 PM ]

Triangel

Originally posted by playbr2 at 2007-3-1 09:34 PM:4 x- C' e- ^! m1 S6 d" [2 O
相信e條題目都有吾少人玩...

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+ G9 u4 `  {8 f( w) a% l$ XPlayPlay, Let me know later who has the right answer and I will add points accordingly.# D5 U' A4 W6 c/ B

. h5 v  u, x2 M# s! ^; L* DThanks

playbr2

Originally posted by Triangel at 2007-3-1 11:57 PM:
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8 X& L8 k% a1 ^8 `* J( T! j/ rPlayPlay, Let me know later who has the right answer and I will add points accordingly.& r& M* d& ?* I6 Q) Y% o- X
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Thanks

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9 E7 E4 o1 D, Q4 w不如你都玩吓喇....叫d叔叔加分咪得囉........如果岩既話

Azuma

1.
2 W1 W( k. }' T- G6 S6 p+ U' F1-6 vs 7-12  r; U4 h# \/ }- d. x/ ?
if 1-6 = 7-12     13 is fake" N% s, y; T4 j9 }( M" q& X
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if not
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" I" n% V* r+ g! e1 v; n- NWeight the 2 time + V8 X+ p: u: b1 O
+ n; }6 s/ S1 y1 |& C. C
Suppose 1-6> 7-12+ L- _7 R" ]- z5 {1 o9 B

# B8 P3 M/ t) `' O0 m# q1-3 vs 4-6
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Then Weight the Third
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+ |7 h$ q3 G# z* |' q  Z: H6 {# _
7 S; O) W9 Z. M5 k6 C! k; ZSuppose 4-6 > 1-3+ Z5 J1 R, V& `' d; i! d

3 k+ W: c# b: e$ mJust like the first Step
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$ X9 @! R- b5 U4 vs 5 ( u0 n' n, j6 q3 l' T

0 G" e8 v7 X9 L4 Zif 4=5 6 is the fake one ; ~6 R8 C( O* A- V  F3 c6 x/ z

5 L5 M+ P& h: @if 4>5  4 is the fake one 7 c+ o$ L6 h. ?; y

) D+ }- ~7 ?' }9 `" N  [and so on......................

hello1997

分3組4隻波子秤  c* a) W) |) j7 A8 A$ E1 m6 z; u
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Group A: 1,2,3,4% N0 {& S( Q( R+ |5 _
Group B: 5,6,7,8
2 m  w" b+ E/ e2 ~( e, W" u# l3 RGroup C: 9,10,11,12
/ M) r) M( K9 c! gGroup D: 137 |1 q* X6 U% Y0 r6 N- ~2 w

0 w- O6 Q, S& u) z1 WRound 1" b. G9 D% K8 h2 S; b" Q: s3 C
Group A vs Group B
( Q4 a' @5 Q0 V9 O1 `如A and B一樣, 即較輕一粒在Group C or D
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Round 21 E' f9 u5 G6 o/ d! n9 N
再在Group C拆成:
: Z  d2 d! z$ s9 xGroup Ca: 9,10
$ o% q7 V" a3 Y1 H& r4 b4 D7 gGroup Cb: 11,12$ L+ O* L% g+ o& `5 R
然後再秤, 如一樣, 即13為較輕一粒." t4 ]" ^* o0 t  `; @$ [; b) |% S4 j

* D( \6 Q! v- t. e; t1 K如不同, 即較輕一組有一粒較輕波子在其中, 1 C. ?/ P0 s& z+ Q
要再秤, Round 3, 之後便知答案.% E+ z9 m6 J* W

6 J! t9 B. W( ]' y# re.g. #1 假設10為較輕的一粒( e3 @0 N% e* ?8 V7 C' a
Round 1
9 A3 |5 e0 o- b4 ?# ^6 M8 u1,2,3,4 vs 5,6,7,8 = equal; `& x4 b7 i' {) T) E
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Round 2
3 o" ]5 g+ Q/ _. e' t* d: S9,10 vs 11,12 = 9,10 < 11,12
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9 vs 10 = 9 > 10
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$ k# i8 w; x5 |/ wThe answer is 10.' Z8 l1 i/ e1 Y: W* Y
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e.g. #2 假設7為較輕的一粒9 ^: Z  T0 ^- n* D7 `9 Q( c( }
Round 1. e$ \# ?' P9 V' f0 ?; N
1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,8
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9 F7 c+ M& @/ kRound 2
, ~* a) E. X5 k  S% s$ s5,6 vs 7,8 = 5,6 > 7,8) i0 T) A9 Y2 L- Z
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Round 3
& m9 [6 L& C' e" p* ~( C7 vs 8 = 7 < 8
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The answer is 7.
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e.g. #3 假設13為較輕的一粒
2 x1 v. h" K* z) ]5 k7 i* lRound 1
; M8 N, Z  U+ X, h) |1,2,3,4 vs 5,6,7,8 = equal; B4 Q; J. s8 Z5 I

* D9 P. r* s! C" U* X5 NRound 2) f% e4 K) u9 Q( d! j+ X
9,10 vs 11,12 = equal+ [$ E0 p0 U6 s

; i, Q, A! x! V# B8 t- hNo Round 3) @- y' M+ s% f4 \* F
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The answer is 13./ d" S  ^( h. m% H: M, H9 [  v$ \, ]

6 S" d1 `  l: d' D( t, X- d! m唔知我答得正唔正確呢?!
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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:
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1-6 vs 7-12$ k8 m# {% ]0 m. C; v, C3 K% E
if 1-6 = 7-12     13 is fake: g- w' D1 t1 G: D& U9 W& p$ l

2 t( g' v6 ~. y% |0 Fif not ) m+ b$ K# I# D

) E% E- B( c" }4 G" ]Weight the 2 time 9 h# Y2 I' _2 A2 \" z" _
  k/ F' F4 ]4 A3 z+ |& n  ], ^# H
Suppose 1-6> 7-12
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1-3 vs 4-6 + h, K7 `# T! O! Q! v3 u
+ K& y8 ^& x% y, E: A. A+ J6 O
Then Weight the Third* G* y* j9 Q4 E4 `. s9 M1 o- c) F3 F
3., R! b) N# j/ W% U
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Suppose 4-6 > 1-3
4 W( I! j6 `6 m1 P/ w- V. K) b7 R. Y+ G7 i7 T" _
Just like the first Step
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4 vs 5 6 v9 {2 |+ k9 K

: g  s: J+ C$ U; _% iif 4=5 6 is the fake one
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if 4>5  4 is the fake one 8 A, M4 a& O, m( D
and so on......................

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# b4 Y5 @$ }+ h6 A問題第二步4 k! d7 f2 T& c* m
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Weight 1:  1-6> 7-12
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# h5 q5 Q: b1 Q3 m' P2 X6 W" pWeight 2:  1-3 vs 4-6 , if 1-3 = 4-6
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. W1 R- Z) G9 ]( j你第三步点去搵 7-12 边一粒???
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) C* G7 W4 g9 H2 P8 R+ b3 B# z2 M# J========================================
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1 F+ P) g5 m" Y4 L: o  s: r% y" Y問題第三步
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Weight 1:  1-6> 7-129 X9 r" {, ]4 ]* `  n7 a
* g( B( D0 S  X/ }7 B
Weight 2:  4-6 > 1-3
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6 a# U7 k2 D3 v& e' ]! ~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