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# B" p4 T4 e2 ]1 p, c6 W

% w$ e$ l2 _( n- G6 D0 A4 l『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)。6 ]! ~9 g/ ~' r5 S
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？』! M; R* J0 \! E# R

3 u  P8 ^. P! L+ P& z2 m8 S1 o& J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; R/ V- f, `/ @# Z! e
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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  T$ K4 j7 o3 o9 {
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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:
% }1 F8 Y9 `( H; `! w: m8 X相信e條題目都有吾少人玩...

1 t% @/ I. g! c% |! Y我以前畫左個chart去答,2 x( P/ w8 x( C9 u! t7 h, A
等我搵下仲在吾在, ~8 U' b9 E4 o* R( a
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當日用左37分鐘答１２粒波子，差７分鐘才合格。
( c# y0 ^. O5 D  v1 p! m13.........
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# z9 o/ 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:# J$ ]6 q/ I5 [1 d: Z$ I
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我以前畫左個chart去答,
+ i7 M4 Z; g8 ?9 @+ T% b" y等我搵下...

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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:
4 G% V/ f4 k0 l3 N( Q唔識隱藏...已經諗到..

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* Q8 q9 P. D  c- xsor !!!....e加改左
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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5 c5 g" m* y8 ~/ ?$ e2 i

$ V# h; |0 C+ E/ n[ 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) A- B3 o4 k
相信e條題目都有吾少人玩...

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! ?( ^% F! ~4 f, [: |PlayPlay, Let me know later who has the right answer and I will add points accordingly.* m  c( }; g: u" E; [, M& T" `' t

* O; q( M# }# {% T: NThanks

playbr2

Originally posted by Triangel at 2007-3-1 11:57 PM:
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: p* u6 M$ b/ P2 p0 g: I. ]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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1 V8 s. E- Z# e1 E  [6 p不如你都玩吓喇....叫d叔叔加分咪得囉........如果岩既話

Azuma

1.1 ~% m. H& Z7 ?
1-6 vs 7-12
! Q( S4 l: _& u0 @- M6 h* ^if 1-6 = 7-12     13 is fake
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if not   i; M  U8 u1 r. @

, S7 \. p) ?1 J6 a0 }& K$ wWeight the 2 time 7 v3 N4 }) T! U5 x) @; w
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Suppose 1-6> 7-12
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1-3 vs 4-6
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( t% O( e- U) \+ k$ g/ LThen Weight the Third
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2 T  L  h0 A( U" W2 I" xSuppose 4-6 > 1-3- \/ ~6 b2 Z8 K' v+ V' {
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Just like the first Step! u* e7 a4 O# F  l1 h
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4 vs 5 / J, h$ M1 v0 }& A& ]* c* O
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if 4=5 6 is the fake one 0 L0 l3 q4 W9 T9 y4 j

+ _  s: T) ]7 \3 j; o) Tif 4>5  4 is the fake one 3 J2 O3 L  j7 F- r: A! H
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and so on......................

hello1997

分3組4隻波子秤& @8 }$ S7 T0 r
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Group A: 1,2,3,40 R+ Y5 O, u4 A- S8 N
Group B: 5,6,7,87 ^1 Z0 X7 W) W7 C
Group C: 9,10,11,12
- G  f; O; F# l0 RGroup D: 13/ ~& X- [. S1 u4 q+ D& p$ u4 ?9 H
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Round 1% M3 _( T6 Y7 T# c0 R2 i& Q8 Y
Group A vs Group B
- L' `# t; Q/ o* N, P, Y如A and B一樣, 即較輕一粒在Group C or D( A; |) U8 ]) e9 R. s* f, E& P& }
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Round 2
: x  A, U; {  |% K0 I9 q' Q" ~再在Group C拆成:; g! H2 z( q! a2 ]' h1 B
Group Ca: 9,10
6 X$ i6 l- Z9 a: s* p6 N, BGroup Cb: 11,12/ Z1 E5 S8 k& q# s
然後再秤, 如一樣, 即13為較輕一粒.
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6 J. j" X1 e) S& r& i& _如不同, 即較輕一組有一粒較輕波子在其中,
3 W$ M1 P! P* n% _要再秤, Round 3, 之後便知答案.
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e.g. #1 假設10為較輕的一粒7 ^0 b1 B% f* q8 e
Round 1
! V* r' Q9 N# F: J* K' I1,2,3,4 vs 5,6,7,8 = equal% Q% _$ ^# k) C! \! S9 \& D

  C7 {9 ]% C- G6 {; v5 v! LRound 2
8 q- j' i" U, s! b/ c$ M9,10 vs 11,12 = 9,10 < 11,12
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* [: t3 N. Q$ RRound 3# n+ i* Q% a0 \5 t, Q6 H$ C! U
9 vs 10 = 9 > 100 c/ i( S0 P: P
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The answer is 10.& m1 Z; y6 Y/ Q

4 G" N% m! J4 m" Ee.g. #2 假設7為較輕的一粒, ^" W7 K, T# X8 w' c2 k( K, g: P
Round 1
! A" a* v6 L- F! O1 x  X" f1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,81 o  v% ~- A! C: w7 p4 Z7 q
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Round 26 U9 v% l( D6 W4 K. _7 ]- X3 ]8 b
5,6 vs 7,8 = 5,6 > 7,87 y/ c$ O/ [& Z3 u/ B% p" `
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Round 3
, I' G2 U1 Q2 X- c* H' R6 L7 vs 8 = 7 < 8* q* C. K1 z( _' e2 `4 k0 d

0 n  ~1 i2 D: k" HThe answer is 7.
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e.g. #3 假設13為較輕的一粒
* m4 U; C* m, _Round 1
$ i5 o6 D- G- k6 H* R1,2,3,4 vs 5,6,7,8 = equal
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+ w6 l( T; a7 [6 fRound 2
. Y/ g- B/ K0 i5 J2 F9 p9 S! D; f9,10 vs 11,12 = equal
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No Round 3* ^$ X, k3 x$ _6 r4 R& a# ^. T
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The answer is 13.
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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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. W$ v8 e, f# x1-6 vs 7-12+ \8 V; e, }7 y# n7 f1 j! p; u: z
if 1-6 = 7-12     13 is fake0 P0 b; C9 U% \+ Y

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Weight the 2 time   W+ \  g. b. Y& m

" U: D2 J9 G8 U: }# hSuppose 1-6> 7-12
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1-3 vs 4-6 * `$ A& G( g% C1 B& z  e* I4 l
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Then Weight the Third8 }+ F3 u* [) @8 n
3.
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Suppose 4-6 > 1-3
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Just like the first Step
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4 vs 5 0 S* c$ p9 q" g; t7 G
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if 4=5 6 is the fake one
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; }2 S5 @2 B: R( c% d# ?: rif 4>5  4 is the fake one
% X. m$ i6 L" Z5 N# L, q, G. Gand so on......................

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- v2 f2 [8 j6 w! v2 Z6 }! ^問題第二步
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Weight 1:  1-6> 7-12' _% p7 ]% g! w) |' `
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Weight 2:  1-3 vs 4-6 , if 1-3 = 4-6
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2 S. ^" |8 h: W1 u9 B你第三步点去搵 7-12 边一粒???
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========================================
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問題第三步+ X8 a2 x9 F" t7 X& }0 O8 }" y! A

1 V$ w3 N, M3 Q6 O! M9 z: d( u' kWeight 1:  1-6> 7-125 f1 [1 P4 I! \2 w
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Weight 2:  4-6 > 1-3
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5 r% M) {. S0 V. z! m0 t! L$ G9 E# D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