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
; v: W% c' }* {* ^  g" m7 K, u# I5 m. P3 i$ [
『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 G, C1 `5 C0 b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？』3 D% |  M- l$ ]! N$ a; Y* g2 m
$ N" ~0 A) r' j3 g
注意: $ ^  K# X7 i- A) J" t+ z% p
2 e3 c% W5 p* F7 C( l8 _
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
- `" b$ r3 B( k' v" G, \7 v: t- A# H9 k( A4 d) H) q
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* ?! U* z3 C3 y
- G$ S$ R9 @, [  i1 ?) {" a4 r
[ Last edited by playbr2 on 2007-3-1 at 11:54 PM ]

guswan

Originally posted by playbr2 at 2007-3-1 21:34:2 f6 t  R+ ~3 z! \( \/ p: E( O
相信e條題目都有吾少人玩...

0 S8 I# X# y* O* H, i( d7 \) N% z
我以前畫左個chart去答,
* e. r' |* p. g+ g等我搵下仲在吾在
3 z  |) V$ @3 e8 v: g( c
* ^' e  e1 {& L7 C. V) x當日用左37分鐘答１２粒波子，差７分鐘才合格。
+ F0 L6 g& u- c% R13.........
! E7 Q1 \6 s+ ~3 [
5 ?7 o: D$ \- _/ ~) }' w[ Last edited by guswan on 2007-3-1 at 09:44 PM ]

playbr2

Originally posted by guswan at 2007-3-1 09:38 PM:$ g9 S  b8 s2 j$ b
' w& z* O4 m1 B7 a: d
我以前畫左個chart去答,( a% C2 ~& |. m( U7 j  x
等我搵下...

* p% ~1 x& g& M! W7 a) e9 w( ?" H& o( R) p$ i/ ?
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:' @6 a2 r# _0 ^
唔識隱藏...已經諗到..

+ E: G: S! O! U- F; P) b, v) U- n) u# g0 J( F
sor !!!....e加改左
# ?, G- ]$ ^- Q# Y4 X" v4 ]: q% N* E  f6 D. E( Q8 k# K$ Q4 \, s
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# ^* L6 A) D9 ~% F0 o
! z1 z  B0 F+ J' C! g
[ Last edited by playbr2 on 2007-3-1 at 11:55 PM ]

Triangel

Originally posted by playbr2 at 2007-3-1 09:34 PM:
: N8 H+ h* }9 `- e8 M$ u相信e條題目都有吾少人玩...

9 T; m7 m' S# N# j  [& q1 s) m% o
PlayPlay, Let me know later who has the right answer and I will add points accordingly.: A6 G! ]5 q% L
) q8 e$ G+ B7 g. W, L5 i8 j
Thanks

playbr2

Originally posted by Triangel at 2007-3-1 11:57 PM:, X' e2 x$ @* u. F1 L
& E+ M- z9 g7 B5 M
6 i& w4 q- z: a4 R% Y
PlayPlay, Let me know later who has the right answer and I will add points accordingly.
2 }8 N! a  V6 b7 x( D- R6 H
' r4 t$ U( e! g8 M& f. y+ NThanks

1 a+ K$ W- Q7 f- p) s. ^( H( w5 \9 d( k% L# g
不如你都玩吓喇....叫d叔叔加分咪得囉........如果岩既話

Azuma

1.
* Q: ?7 r$ f4 k7 T# K- k1-6 vs 7-126 |6 E6 Z; y. D: _/ T
if 1-6 = 7-12     13 is fake
  G) k6 l/ N' Z
( R/ A6 J) K' `2 R$ A7 [if not " _( z$ Y$ n; u5 l) a! e, H

$ V$ _( k7 n4 l5 fWeight the 2 time , W( L4 G" W+ _" y

, z0 }- O: U, w: l4 q* |. c5 uSuppose 1-6> 7-127 P1 t1 G3 T; Y  a

, ?; M% K, ~6 ]1 m1-3 vs 4-6
9 K% c+ E8 _) V5 x. M! y
, k% T' {- ^$ z* Z; b) aThen Weight the Third# S% s3 X/ `1 ]* c; ~( ^0 v
3.1 e) a0 j9 E1 L  d$ ]! M

5 r, v1 E% K- y( C+ uSuppose 4-6 > 1-3
: F! k' ], r$ N5 \# ~5 r( o& ]6 r
& x+ b5 k8 y; h/ wJust like the first Step
  H3 X) W/ Z& L7 o0 i
3 [& V9 i: ?: E4 vs 5
6 e0 h# h5 t1 |! w, o8 _; L8 ?- l  n
if 4=5 6 is the fake one 1 ~3 b/ G* Y9 U1 k

7 y( x6 O9 a4 A8 pif 4>5  4 is the fake one - `! Z+ o: l5 Q9 r, _+ k
) _! p- s( [6 w% V4 R: U
and so on......................

hello1997

分3組4隻波子秤
; I/ @! i$ v) q7 q$ J
& f" s5 b8 s+ h# k) L* [; ^Group A: 1,2,3,46 n- N8 \. {' l4 k, I1 [
Group B: 5,6,7,8
4 R5 f9 }. W' U& t3 FGroup C: 9,10,11,12
# k" Y$ f7 g8 ^' PGroup D: 13; B+ r9 `" v" F8 L) R$ i6 n
1 J, X, ^& n' z9 X: q
Round 1
3 t2 v2 P$ Z  H- F5 @Group A vs Group B
/ i! Z: \: O6 l  R+ Z如A and B一樣, 即較輕一粒在Group C or D9 W& [5 O/ P5 Y3 F; V: L

8 s9 B* T4 o( S, iRound 2% x, h/ h- Y9 d: r, u$ {
再在Group C拆成:) l: p  h: R; I  I
Group Ca: 9,10+ c, R* _6 g6 ]# ?6 @
Group Cb: 11,12
4 _2 k& W0 A% E( ^; a! k' \, s然後再秤, 如一樣, 即13為較輕一粒.7 ^7 o# \( u6 a3 ?" x+ w/ f* W
8 ~* J+ n, K+ I$ Y
如不同, 即較輕一組有一粒較輕波子在其中, $ _/ ~. j" D; @4 h
要再秤, Round 3, 之後便知答案.% [) m2 g! x) y8 D) U/ W7 f
% @3 {% \& v; a8 o, k0 a3 ^5 }
e.g. #1 假設10為較輕的一粒
* B! p6 N. g" R. jRound 1
: E8 f1 b. n) l! |1,2,3,4 vs 5,6,7,8 = equal% \! b; D( A( F, |" F
9 n3 s9 B, K7 v+ U% S1 u+ }
Round 2& ^1 [5 p9 |% F  _. f+ l4 `
9,10 vs 11,12 = 9,10 < 11,12
8 X+ I" l1 t) Q* \" e- a
- j# \0 A+ D9 q( VRound 3
6 T2 v, {9 u7 {- T6 e1 \9 vs 10 = 9 > 10
2 a3 X& n3 p5 l$ b- a. W
; d$ A1 V* y9 k) p. ^3 YThe answer is 10.
/ d; F& E! ?0 Y! i! m' [
8 j* U7 l4 N2 q' ]e.g. #2 假設7為較輕的一粒
: p! D1 b8 {) H8 Y# ORound 1
$ E$ X5 `+ y9 D1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,8* Z: |! \6 C5 b: L$ q! q
: x" s2 z; b5 ~
Round 21 d  F8 y5 }) T: H) n% d9 l
5,6 vs 7,8 = 5,6 > 7,8
  {# ^4 q" I0 W7 a) E
) K) Z# U/ \* [1 rRound 3
% U7 P$ e5 t9 c: `, @# \$ \7 vs 8 = 7 < 80 ^3 V& C% Z' h" d
; `0 a" k# k' |; C; e% G- X
The answer is 7.
: j$ E6 @' a. e; B8 O, A- M! q/ O- q" A2 w/ v
e.g. #3 假設13為較輕的一粒
' Q' m2 W2 _$ N9 xRound 1" h5 _& R; R8 T' [! X. W( I
1,2,3,4 vs 5,6,7,8 = equal+ H9 b8 B/ h, X/ ~# b
5 B# x. J1 b% D
Round 2+ n7 ?7 Y9 ], F7 r( G3 e8 g
9,10 vs 11,12 = equal2 d6 h5 |& {- v+ l! w
2 \# B4 v2 w& Y4 z, Y, ?8 F
No Round 37 M& u9 ]/ ^& q! g! R$ h
  _2 J: K- G( Y  ~3 Z, Y# F
The answer is 13.
" H! J* e( q9 Q; M- l2 I  s- c& g2 v% x% H& ?5 P
唔知我答得正唔正確呢?! ! d/ }" O# c) e, o; E

" y! |. z$ s. v, P$ I( P[ Last edited by hello1997 on 2007-3-2 at 12:39 AM ]

playbr2

Originally posted by Azuma at 2007-3-2 12:25 AM:
2 j8 L3 `% M) Y4 n6 Z5 H1.
7 [/ F  Z. S! z* `; }1-6 vs 7-12" p0 s, N0 z1 X, L" n7 w4 S
if 1-6 = 7-12     13 is fake1 z% }. J8 ^# h( }; ~

# `2 E# P1 D1 [* Kif not
' R- S# O7 P9 ^7 @9 ^8 ~7 d  V/ |$ H! E; d0 L& b/ ~7 O
Weight the 2 time 6 V# t7 u5 v7 G

: w& G- N& ]" F% ?1 bSuppose 1-6> 7-12
3 T, N  r/ m3 b+ H* _
- O3 Q7 E3 g/ F" Z# m; t* `& |1-3 vs 4-6
' @" V+ s1 }) D2 r  x0 Z+ d& R+ L' x$ y2 A* L  K  k; |1 n
Then Weight the Third
, W+ E$ ^0 E) z2 h3.: U0 b' l2 N8 f" h* u1 {* x

4 }( e% D, \- P0 }$ \; g7 vSuppose 4-6 > 1-3# D0 l5 m% ?  A8 k# H

3 `5 q1 _/ @) R% R1 xJust like the first Step
3 ?3 j7 x( N9 ~# l: H" B4 b9 Y3 R; B& }5 X8 y, O2 N5 i& S/ n$ W' Q
4 vs 5
0 u  U/ X$ e6 }5 V  u$ B0 q& P" Y
# }* D; Y1 ?3 X: Q- J9 ~- nif 4=5 6 is the fake one & h) z4 |  _6 d" O! M& E

/ r  ?0 O; R4 q, \$ ]if 4>5  4 is the fake one
0 H; T6 v1 g" Z5 P+ Z; land so on......................

3 M! |/ W3 r; a  u4 s- `
. p6 [  C; c- B0 o2 x5 h( O+ \8 }
# F  F( U' b6 t9 b) V0 N" }) {" u# _
問題第二步4 z) B$ W8 ?4 N" Q: {. D
3 @7 w9 g# C" p" i6 p+ d
Weight 1:  1-6> 7-12
, Q0 w0 v" Z- E9 s8 [# J* J
$ W, m& I; w+ L  [) IWeight 2:  1-3 vs 4-6 , if 1-3 = 4-6
, X( S2 a" B, m% v- A$ t, A( {1 D0 D* @+ _% V2 M
你第三步点去搵 7-12 边一粒???
% J% q6 L  j# I6 k5 r
, S" }% }6 X' h- _7 \========================================
1 N% f) f+ i3 i) q9 Y( o
; J) J2 M( o' [: B  S; L6 a問題第三步+ U+ T' W; j6 |3 h; v
' K: ?$ x: v9 l8 O/ z1 E  {" Q- L& X
Weight 1:  1-6> 7-127 F- |7 N1 `; _7 R" |2 x: E& t

! w. I; c: M+ ?/ vWeight 2:  4-6 > 1-3 & @9 ~7 ^# @: a. K. `! H7 @

' Y" [. k3 S- m2 z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