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/ Z' M5 z# [% j# w2 E

( w$ ]- T# h5 W$ g( |6 C  K+ ]『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)。+ f) h4 B1 g- I6 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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注意: 7 v. G8 k* O: H' m: B0 P
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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" d0 Z# z8 T) w

! S* L! H$ q9 N$ {+ }3 d7 Z; 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
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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:
: s( a/ E. h. ~  m* w0 E' k相信e條題目都有吾少人玩...

3 M% B6 N3 [$ {2 I! ~我以前畫左個chart去答,' B. M$ I+ b8 v
等我搵下仲在吾在
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+ ~) x4 C  f3 A9 B0 L2 n當日用左37分鐘答１２粒波子，差７分鐘才合格。" o/ P* i3 e; j+ R8 F! e2 w, o7 _
13.........; _0 u  U! M$ O- a& K( v: ?
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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:
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% o; V- X. P4 r. w  ~2 F我以前畫左個chart去答,
8 Z  P) c; o: y! U0 Y等我搵下...

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: P, k2 F* Y6 a$ ^; h0 d( m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:+ j' E. K6 T9 v3 b0 U
唔識隱藏...已經諗到..

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$ j5 v: ]/ y5 asor !!!....e加改左- ]( A! ]* N% E, Q! S: l+ C

. U0 @) i* D  y  a; \2 N4 P. e2. 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
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! s- g3 ]4 i2 w- U/ a9 i[ Last edited by playbr2 on 2007-3-1 at 11:55 PM ]

Triangel

Originally posted by playbr2 at 2007-3-1 09:34 PM:8 X- ~5 C, Z1 e* H- [! ?
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.- i; t7 o( v8 }2 p+ C
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Thanks

playbr2

Originally posted by Triangel at 2007-3-1 11:57 PM:* j: P2 C& q9 o% ]

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8 v" m" W# i8 j2 ~! D+ XPlayPlay, Let me know later who has the right answer and I will add points accordingly.6 X! m7 g6 b4 s7 l! s! [
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Thanks

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不如你都玩吓喇....叫d叔叔加分咪得囉........如果岩既話

Azuma

1.
( u$ h. Y  q, i. L( I1-6 vs 7-12
+ h/ m, \8 {) Y" o# j5 O$ g6 Fif 1-6 = 7-12     13 is fake) i3 s/ E! t0 S9 X8 H

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Weight the 2 time
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/ g/ z, J* o+ {Suppose 1-6> 7-12
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1-3 vs 4-6 + U) ]" j3 B  n4 f6 _

. P1 c- C$ K" K$ ]  WThen Weight the Third% Q* c( B# N/ q" M
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   I9 g. L; h( M( z7 k
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if 4=5 6 is the fake one 4 S5 t) V9 }1 c+ w3 v; d" H6 Z. Z

# c# ]& O1 N/ }; _7 e  [if 4>5  4 is the fake one
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and so on......................

hello1997

分3組4隻波子秤
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# z7 {: w* |1 BGroup A: 1,2,3,48 G+ ~' j1 j2 F# p3 k7 h
Group B: 5,6,7,8
) k' G1 O. f- W9 ?Group C: 9,10,11,12, V# x  M$ o. ~; ~$ Q3 i. g& Q/ w7 h( x
Group D: 13
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* V& r* L1 I, j3 i% L2 }2 J; `Round 15 @4 P" H: S& d" k" Q" x& r
Group A vs Group B$ X- Q/ y; }3 }
如A and B一樣, 即較輕一粒在Group C or D
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" ~5 L$ a7 a7 C( |Round 21 b& ~  Z0 t  V8 b: H& H1 x& k
再在Group C拆成:
1 g/ v" L/ i( mGroup Ca: 9,10
0 i% g' S" x6 _& jGroup Cb: 11,128 h" l5 `0 a' a: T7 h1 f( ]4 ?8 A0 z* A
然後再秤, 如一樣, 即13為較輕一粒.$ v' V! ~* `3 [) w, c5 P( W
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如不同, 即較輕一組有一粒較輕波子在其中, 0 P$ Y$ ^$ ?; p2 g  U: I  c& `& ^
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" r1 d! d0 }/ \+ _
Round 1
5 r9 L8 f" _  F% {  e+ {1 L/ ~+ T1,2,3,4 vs 5,6,7,8 = equal: t) D4 w7 X+ X
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Round 2$ B! K* L3 a9 ?
9,10 vs 11,12 = 9,10 < 11,12
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7 x/ v$ d: d6 f5 m' L' C1 ?. k1 WRound 3
. l, b! S$ C& x6 h6 _3 V9 vs 10 = 9 > 10, Z2 f% V  B' o# N2 T
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The answer is 10.
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e.g. #2 假設7為較輕的一粒
+ w) i0 p8 w7 s6 j2 r( fRound 1
% j' d- D  ~* x: ]1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,8
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5 N: [  X7 v7 f/ e5 {# yRound 2
6 k7 @* |" @* ]) c5 \5,6 vs 7,8 = 5,6 > 7,8( `7 G/ `7 i3 ~9 H$ f) v, A
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Round 3
  O* h+ {. Y, U& G! Y4 Q8 s+ H7 vs 8 = 7 < 8
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, [4 Y7 |% j2 d6 K' S6 MThe answer is 7.% ~/ U/ J6 t+ `/ e/ ^: d
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e.g. #3 假設13為較輕的一粒
, e( L2 L+ k7 K( w/ bRound 1" y5 F& ?: @  H5 I' I
1,2,3,4 vs 5,6,7,8 = equal
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1 Q2 m$ N0 w0 r$ R  D! I4 @1 nRound 2* a8 B* h. m5 P! f7 q
9,10 vs 11,12 = equal
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No Round 34 z3 L( O8 \$ L
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The answer is 13.
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% z* e  ~! P3 m0 ^- V% V& G. B: h3 r唔知我答得正唔正確呢?! - c3 f' k5 o& }0 _

! w* R4 F) W+ f; v+ p7 q# C[ 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& ^# p% {5 t/ n9 p+ J
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1-6 vs 7-12  E( p" G5 r! ^7 H0 P
if 1-6 = 7-12     13 is fake
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if not
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3 A8 S8 @. o- d- g$ NWeight the 2 time
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: @3 V6 |6 h& l# V: j3 D+ U, A/ g. wSuppose 1-6> 7-12
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1-3 vs 4-6
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Then Weight the Third
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Suppose 4-6 > 1-34 Y: L* _# w5 q4 F8 b) }0 r& L
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Just like the first Step
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4 vs 5
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2 C3 V4 ]+ P0 F3 `$ K  j; y7 Rif 4=5 6 is the fake one
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) ^3 O# L7 I( e+ c( Q( |5 W0 oif 4>5  4 is the fake one
* M* b1 Z0 J! J5 [# Dand so on......................

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. U/ M6 @; A# X0 S- ~問題第二步
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. X3 Z. Q/ S3 h# _Weight 1:  1-6> 7-12
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7 j) S( P0 g8 X- a. \3 B) WWeight 2:  1-3 vs 4-6 , if 1-3 = 4-60 Q: y. e1 K. _7 d* B5 C  j. I/ ^

1 w+ ?% V9 O3 p  E! T你第三步点去搵 7-12 边一粒???
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+ A. m* O" m. i* b! L  c========================================- o( k( t# u+ W" `

0 o9 ~: n. s7 N1 L$ @! I問題第三步$ E. D! N  l, u5 e3 W$ j$ I/ Z$ w' |
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Weight 1:  1-6> 7-12: h0 w. D, g" x1 o- N! o

" G& X( W0 Z3 p2 W# i) a: t) v; HWeight 2:  4-6 > 1-3
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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