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% S. r0 a1 ~1 c4 o  j8 C

9 S+ p. Y) f  U" C/ Y, g! U) E『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)。! Z$ D$ g6 z! n" o' P0 A
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？』
5 @" Z9 P) N' l3 E0 p$ z
$ `- l, K1 y+ r- F! c" z& w" J' T注意:
" Z  _8 a* g2 M5 h# o2 N* b; X2 b1 m8 Q
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1 e# l; b/ V- z) s

+ `$ n( e  C$ ?! j2 s- ~6 a2. 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$ h8 z/ S/ e1 }" D/ @8 z
1 I' A1 e' h% `  \$ s/ t- l  x/ P/ T  d
[ Last edited by playbr2 on 2007-3-1 at 11:54 PM ]

guswan

Originally posted by playbr2 at 2007-3-1 21:34:
7 c% u0 |6 i1 J$ A  H相信e條題目都有吾少人玩...

6 ]1 B1 i, y) H7 a0 _' t. N
我以前畫左個chart去答,
6 v8 u, ]7 S% u% b# w5 x等我搵下仲在吾在
0 r, ?! ?0 u0 k' n1 W1 m0 B# B* I" I5 O; O0 D
當日用左37分鐘答１２粒波子，差７分鐘才合格。
& H6 k7 D) S3 K13.......... ?! B0 g( O! g  ]; `- v
, D9 E' w8 p6 A# m0 d( H
[ Last edited by guswan on 2007-3-1 at 09:44 PM ]

playbr2

Originally posted by guswan at 2007-3-1 09:38 PM:
# X2 P% K4 V7 R; Q9 A
' M! Q8 \+ k2 M9 v6 w/ o0 ~& T( i我以前畫左個chart去答,
8 u& c' `# H* }等我搵下...

  g$ p% J7 s7 a5 i9 n7 a; e5 b

9 {  N4 F6 s+ k6 I. V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:
; z  T2 N/ J9 n: t/ q1 {9 v唔識隱藏...已經諗到..

0 J) G, l# X2 A3 e# F; C/ L* G* ~5 [) }. O$ G4 x! o0 I3 ]
sor !!!....e加改左5 V! Y) d7 b3 Z% G  Y! L
9 T# Q9 s0 ]3 Q2 _' U) v
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0 ^& L7 I& p. m! w

4 L& v, x" v" M" g: q6 K[ Last edited by playbr2 on 2007-3-1 at 11:55 PM ]

Triangel

Originally posted by playbr2 at 2007-3-1 09:34 PM:
% b, T/ t7 G! T8 {/ ~; _  a$ o相信e條題目都有吾少人玩...

( Z  W; Z5 p6 R
+ ^% b% k$ `2 X& e. i
PlayPlay, Let me know later who has the right answer and I will add points accordingly.8 _' e! K0 V8 Z" e4 x' ~% M+ J: P, T
7 I5 |5 _- L/ T: y2 K6 u
Thanks

playbr2

Originally posted by Triangel at 2007-3-1 11:57 PM:
# m0 @& S# w4 l8 j: L! Q# }
* I+ |. \# A& I$ ^
; E' b5 R( C! HPlayPlay, Let me know later who has the right answer and I will add points accordingly.
# n" q% ]6 z3 [, B! p1 e! c7 ?
  L2 E: r+ W4 A' h% A5 j. `Thanks

' n2 Y& q( Z1 S9 {$ W: `

# C9 B5 D9 w6 y不如你都玩吓喇....叫d叔叔加分咪得囉........如果岩既話

Azuma

1.8 E7 |& B- G( N6 f  u
1-6 vs 7-12
1 {4 J. x  b) g5 L. [* Aif 1-6 = 7-12     13 is fake) |8 B, i+ R" l9 r; f( q
, M! u8 R+ T- }& @2 ?
if not
! W4 N+ i, T% t; B6 o) B! ^% a) R' A, K, P0 H4 |. x# ^/ S
Weight the 2 time ; L! p% A0 {7 x: y2 F

- f7 Q5 M/ f/ s% i+ gSuppose 1-6> 7-12
, c* f: Q  g4 m: K  N" b
. F9 S( t6 n8 b4 m8 j1-3 vs 4-6
8 E3 P3 E; J0 P0 c  `+ [# `/ @* c" |# I/ y2 p0 [1 _
Then Weight the Third- J% Q% X& m* }; V
3., i! B3 E3 O" _7 `$ f# C

! @5 ^5 [7 s7 t' X/ kSuppose 4-6 > 1-3
2 b0 h/ r0 G7 G
. {2 }  E/ H, I! EJust like the first Step9 y7 i6 }$ E" i% G8 t1 S3 @
4 L1 y% `  r" Y8 H
4 vs 5 8 C" D: D; h; \- l; D0 [2 v

, ~( t5 c. ?9 ~6 Q, o- dif 4=5 6 is the fake one 0 X; V9 _3 b6 r1 ~" V

. U/ R% @/ T) o$ }if 4>5  4 is the fake one ! }2 S, O+ U" P& M& K* S' I

4 O, _( p- V" W( Qand so on......................

hello1997

分3組4隻波子秤0 j5 h! ]1 I& c" d

4 {1 N+ `( `4 B% TGroup A: 1,2,3,4
: X, l6 D- L3 W# {; Q0 W, b0 NGroup B: 5,6,7,8
2 q- [1 Y4 M7 s" ]2 }( O# L6 FGroup C: 9,10,11,12
/ X" M& a# I7 \& L+ L! IGroup D: 135 J4 r" `: v. l3 E5 v% o/ u, h& D

1 \2 G/ `+ t" q/ W& uRound 1
) _& H* x: s# oGroup A vs Group B. M) x8 J/ P* x% p" |' [! B
如A and B一樣, 即較輕一粒在Group C or D
( N8 c+ s( h" r
/ L) ^& P. X* p8 w, o: C% i  dRound 2
1 u- |0 `& v" s9 k/ V再在Group C拆成:
' V) o& s/ M( z! o+ B0 m: e) IGroup Ca: 9,10
8 ?! B2 Q9 M4 a+ q" KGroup Cb: 11,12
; v+ Y8 {! \2 I5 f8 _& u! b然後再秤, 如一樣, 即13為較輕一粒.
) m2 F# c8 k5 v2 H. [7 @4 w8 }* E  L9 r) h' P% S$ t5 E# C
如不同, 即較輕一組有一粒較輕波子在其中, 5 e/ J+ D7 F6 w: |3 N0 F
要再秤, Round 3, 之後便知答案.
/ H3 `3 O; f7 ]+ @( G* u3 O9 g- f2 g8 ]) F5 ?
e.g. #1 假設10為較輕的一粒8 c$ _5 F! b2 A4 g  }+ X
Round 1
4 b% v: u5 @- B7 H1,2,3,4 vs 5,6,7,8 = equal
& Q: Z+ L" O8 A" B
! @) R6 e7 @& Q, Z5 t, eRound 2
% n. R2 U3 v$ x4 ~+ h9,10 vs 11,12 = 9,10 < 11,122 a8 [4 t( G2 E9 r
: ]$ a, S: @9 r! P) |) x
Round 3$ c6 g' m1 ?! i" q0 @" p2 m! k1 n  ^( P) i
9 vs 10 = 9 > 10
4 N' J7 V; k  j& V, K8 N: s0 j5 F8 @! x8 k* B
The answer is 10.; k% m0 P( y/ A9 q6 F2 e( o& h7 V

6 ?) e- B0 B. P- Z2 c# a) K7 b, He.g. #2 假設7為較輕的一粒
% g% R3 F* b% tRound 1+ T% i) ^7 A' S/ ]/ E  I
1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,8
) L! h$ e0 j- }! e( K4 C! A* j8 ^# x: l
Round 2
+ n9 q0 H2 V: E9 o5,6 vs 7,8 = 5,6 > 7,88 `0 g" S# [+ h" }8 E

( Q6 c) ^1 H3 G- DRound 36 W, Q) R" ^1 H" D( D" r% m2 B0 {
7 vs 8 = 7 < 8
0 Z: K$ t7 F' E6 I! x8 C& f# D( t- k  I! C0 u3 P7 G) ~
The answer is 7.
7 J/ @5 K" h% `6 B; A
" B! T% }( B9 C7 ^  a/ a) pe.g. #3 假設13為較輕的一粒% A) C. i! ?' }8 X6 i& ?, C
Round 15 N4 r' Y$ [+ _8 t: `4 Y- k' k7 y# }
1,2,3,4 vs 5,6,7,8 = equal( `  f7 C7 O( b5 c2 b
! a) _) z0 H- r2 z$ {$ [* ]
Round 2
6 y: ^% H: C. m  |9 k9,10 vs 11,12 = equal
0 G7 R7 u# k6 |1 o9 q, |  N5 A: `; [& f
No Round 3
$ O7 I" ^" B2 @& _5 J/ r0 p: c9 x& v! r: B+ t5 F
The answer is 13.
' v7 \' m0 z0 _8 Z" I* w5 \) `! ?% p! `$ v3 q6 ^$ C1 j8 e  e9 R" J
唔知我答得正唔正確呢?! # W% h3 L; @* D5 H, z6 \
6 K+ z, [& o5 N9 u: C/ l
[ 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 z' ~2 ^, j& w0 Z+ @4 a1.# B: b1 V6 A' Q( N$ o
1-6 vs 7-124 J. D3 k3 G. v6 L
if 1-6 = 7-12     13 is fake
$ Y' U) ^2 G6 `: d$ d' Q
0 k% ^6 e6 x% J2 @* `if not
0 i, A$ O. i( F" a% ]( S5 S4 F8 [# r
4 {& H' D( b* r, q$ RWeight the 2 time 6 S/ }: b' a: J% p" G" F8 w9 E

: W6 B: \: F0 U/ _' d3 RSuppose 1-6> 7-12
) p, F2 O+ ]- V7 U$ {. P  Q: U  X3 S! i7 |, {- {
1-3 vs 4-6 ) M" l/ p, ~( u

1 w8 A. x- K7 g7 pThen Weight the Third
: p4 a  ^4 A2 j' L3.( H4 S+ v& v/ Y$ W5 }

7 x# o% q0 D' ESuppose 4-6 > 1-3! V5 F0 ^" T* z2 ?2 Z- R% ?& C
& }& {; d+ B: j( \+ O1 j
Just like the first Step
2 x# v. M% e+ s$ E, x% i1 a( }
  W, m& V2 a7 R3 b$ I1 c4 vs 5
- E% Y7 A, y  D, t+ g
$ M8 q$ q+ H5 v: D  v( m6 B4 Fif 4=5 6 is the fake one 0 z- y! n( C2 Y1 X6 x5 k

% q+ P( l9 v- ?9 e! J6 a& hif 4>5  4 is the fake one
% x& v9 F" ?6 [( P8 s: g1 vand so on......................

/ [- M4 b( |9 d! i% x* I( h* y% \; Z

) z1 {% P( N# ?& P# Z; M問題第二步
' G& I, k  X/ j- b( b8 s  x: y
; x- A) Q4 O& U& WWeight 1:  1-6> 7-12
7 O/ d5 k5 Z5 p: }) I  x/ l. E
, n( ~& s$ x# R! X6 }# G! |- y1 oWeight 2:  1-3 vs 4-6 , if 1-3 = 4-6
% k; y; \4 P: e$ a/ k: w
$ u& t  l9 K3 }8 h' v你第三步点去搵 7-12 边一粒???/ E: ~0 }* W3 g$ m9 u

; V" U$ ]0 g! f7 V( _( [========================================$ O5 w  e# K% i! u9 ]" d, Z+ ?4 f4 S4 {
; W( I7 `& C8 Z
問題第三步
7 D0 R+ ^+ J7 A$ {5 ]5 n) ]+ ?# b2 R( w2 ?1 U8 W% D
Weight 1:  1-6> 7-12
/ W; I3 N& ~% @1 z8 X9 @- g
5 V3 ~( r% V. D5 u: w7 a, NWeight 2:  4-6 > 1-3
  W4 T$ C& H7 r
  K# _6 s% h- N$ |) t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