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 {( E" q9 H$ l, C- U' @/ N2 q3 S- E

3 z0 L% U) r' ~『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)。& Y+ B! r2 d1 A, ^7 t" 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？』
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注意:
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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0 p' o' h  c( M& ~. Z3 ^

% h; }. k/ p3 [, N  w2 x2. 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
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: [+ J7 X7 d1 T2 p/ A4 Z9 W[ Last edited by playbr2 on 2007-3-1 at 11:54 PM ]

guswan

Originally posted by playbr2 at 2007-3-1 21:34:
; b; s( R, w; m, E  v/ c相信e條題目都有吾少人玩...

2 ]5 \+ |3 h$ z. |( o( h( f我以前畫左個chart去答,' G) P2 B* U& L0 D% E$ P
等我搵下仲在吾在
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當日用左37分鐘答１２粒波子，差７分鐘才合格。2 i" }7 Y+ g4 v, p2 {
13.........( i9 V/ I/ W( M" r

2 y& W5 `  ?% A  `[ Last edited by guswan on 2007-3-1 at 09:44 PM ]

playbr2

Originally posted by guswan at 2007-3-1 09:38 PM:
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我以前畫左個chart去答,# X" A; ?3 l; ?% E- [3 r8 x) n
等我搵下...

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! @9 v' x; j9 F9 p) C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:
: ?7 E1 s* l- X5 @# L5 s唔識隱藏...已經諗到..

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" g9 M, O. {) O/ Y7 ]sor !!!....e加改左( d# \* `. }: ^2 u

" o" M4 A+ B+ F4 v( M2. 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, K: Y& X& Y- A% e/ f) E# U
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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:1 {6 f* ]8 u9 M1 L  R
相信e條題目都有吾少人玩...

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( ?4 D- b/ M: x& c" K  ?, cPlayPlay, Let me know later who has the right answer and I will add points accordingly.
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7 g4 p0 G4 O/ A4 VThanks

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.( s" G/ x9 N7 s, C2 {

" f! O- V: E- xThanks

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4 v6 g* @5 B: j$ p不如你都玩吓喇....叫d叔叔加分咪得囉........如果岩既話

Azuma

1.
5 ^1 A, `0 ^+ ?) i1 C- m7 L/ ^1-6 vs 7-12
2 f, }5 J/ O. T% m( v- Bif 1-6 = 7-12     13 is fake% Y( {& f: q- G  g
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if not 4 W/ P% _' o9 g' x8 V
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Weight the 2 time 0 W& {# ~+ a: z$ @1 Q+ o7 p4 J

  N; i8 ^- {. Y) b: mSuppose 1-6> 7-12: [2 v# W. `) g, r) Q; [0 G

8 w2 W+ X9 D5 E. g3 M" ]# D' [4 ?1-3 vs 4-6 : f+ o7 q) b( P6 C
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Then Weight the Third
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$ r5 o) N1 s/ e2 H. HSuppose 4-6 > 1-3" @2 w$ S! L! E( m6 D: I8 f1 i: E
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Just like the first Step# ^6 L! {* W' d+ k& x
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4 vs 5
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if 4=5 6 is the fake one . {% B+ V/ B5 ?- U* }* L2 k" C

! y" `) `% I3 {# Y+ L1 Pif 4>5  4 is the fake one
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and so on......................

hello1997

分3組4隻波子秤/ q0 }2 O8 K" g: E# @, p) @2 D3 Y/ P

) x( ]* e& \, K! bGroup A: 1,2,3,4
' G1 w* z& I# l( BGroup B: 5,6,7,84 J) g. Y' y: }$ b9 S% c: j8 ]0 F
Group C: 9,10,11,12
. ^' P' h' l; c  f; g4 P3 jGroup D: 13
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Round 1
$ ]2 g* K% y) C% k4 C* W5 }. M7 ]Group A vs Group B
& V0 ]" o- |$ v2 M7 d如A and B一樣, 即較輕一粒在Group C or D! \; b9 U' Z2 g- e
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Round 2" s. o( g2 H& _8 r# f
再在Group C拆成:
: ^1 @8 w) Y% u8 H: XGroup Ca: 9,10
+ G6 {/ B+ ]3 A/ T) j1 S, sGroup Cb: 11,12
4 k1 }  K. d7 F- s+ g! l! N然後再秤, 如一樣, 即13為較輕一粒., |9 q$ O2 p: m. V5 y+ q

" k  f; `% Z& r* K8 E6 |3 l如不同, 即較輕一組有一粒較輕波子在其中, ! L: ^9 [& F3 S+ i" r
要再秤, Round 3, 之後便知答案.# X1 I& e) l* ^/ t$ ^# y) Y; F3 |

  n7 r. L$ M+ i' _+ w- Te.g. #1 假設10為較輕的一粒: r" G  c* e. D2 r! Y: `2 V
Round 1
: I! Z/ E; l' O. ~0 f# p7 v1 x& {1,2,3,4 vs 5,6,7,8 = equal) |" n4 C6 }2 r' @' m3 p

: E% y3 Y4 k3 y. }( HRound 28 z* e& r9 j; I+ O$ H
9,10 vs 11,12 = 9,10 < 11,122 {" t. d6 F' H9 o9 @$ d

9 O! y6 m& L5 a) g( W7 dRound 3/ S3 R  l$ j# y1 t
9 vs 10 = 9 > 10
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4 u9 f9 Y5 e0 w$ EThe answer is 10.
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e.g. #2 假設7為較輕的一粒
; B) X: @" T' qRound 1
7 j  {, N; l# I2 x6 V1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,8
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! Q1 {, G$ a; JRound 2- m4 C5 U' B' p" R
5,6 vs 7,8 = 5,6 > 7,8& f4 u" [* c1 G* e0 p6 T  C$ L
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Round 3
& b, R0 g! A$ g( ~# g+ {7 vs 8 = 7 < 8
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5 ^/ T4 Z1 c+ A7 j8 h% _! LThe answer is 7.  \5 O7 P, E5 o, e# s' `

# J9 V; p5 H$ `/ e' \e.g. #3 假設13為較輕的一粒
( q* M0 R7 v! J' z0 G: z0 oRound 14 p- ^4 E, P6 S% H+ W
1,2,3,4 vs 5,6,7,8 = equal
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Round 2# h" o# c9 V& L  d; |+ _) f4 c
9,10 vs 11,12 = equal
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No Round 3
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1 }# j6 f0 ]; `) ~9 W7 }4 h1 GThe answer is 13.
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( E5 I, O* ^4 L, m  S% O8 s8 j% e. M唔知我答得正唔正確呢?! , W: a  o( W" F; ^9 r. M* i2 x
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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:$ q" V. y" e9 }7 n! z$ o
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1-6 vs 7-12- o5 P+ b7 \- I! e5 v* N* D
if 1-6 = 7-12     13 is fake8 R+ G8 P+ O- k" A( p1 A

: ]7 X9 o3 i1 H; k. b3 Zif not : B7 a# o) j. g- W. r/ O

# n' C4 u% ?( j4 ?4 rWeight the 2 time
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Suppose 1-6> 7-12
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1-3 vs 4-6
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" n' D& y' m& sThen Weight the Third0 f( e6 \( `$ n' R. `% ~! J7 s
3.
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Suppose 4-6 > 1-3, K/ S5 v6 P  F3 I: N. H9 }

* v' j6 L7 e6 w, k. z0 M- LJust like the first Step) q" x/ y6 {4 x, T1 ~( Y. e4 W% g1 h. r

5 |  }* ]! }9 b- e0 W5 ~, Y6 l4 vs 5 , h# b% y0 Z; C, P; w

( M& w; q8 \0 h; F6 J* P5 P3 |+ |if 4=5 6 is the fake one
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& u6 @8 F/ J* {6 x) I' |% _if 4>5  4 is the fake one , @" m, z. T6 j$ w
and so on......................

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& r, l8 A' N3 R% K7 D6 X3 b問題第二步
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2 L% W. K8 c7 z! Y3 ~* Z/ TWeight 1:  1-6> 7-12/ d& t) ?. S) W$ A1 a' X9 W+ C$ e

) j0 F1 D+ S: u$ e6 {- s% [Weight 2:  1-3 vs 4-6 , if 1-3 = 4-68 l" A4 o3 ]) v; K
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你第三步点去搵 7-12 边一粒???
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========================================
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9 V, x% T# J. _2 x- R* i4 ^* N問題第三步, ^0 s& U5 L; d6 Y: M4 W, ^! C

) v+ g) E- r! c; w% ]6 _6 jWeight 1:  1-6> 7-12
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) z/ R6 e! p) pWeight 2:  4-6 > 1-3 6 h$ A* x" r7 ]; b/ Y/ u1 k( i; Q

, X5 [6 y0 q! N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