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8 I$ B$ `- F9 o0 s7 m  h5 {* J; f

8 M1 M3 ]( s# q3 f. 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)。6 E4 O5 A, u' q* g
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？』2 ?" E2 L( ]0 a- `

) ?# l% v4 C0 c* r注意:
% B2 A' B0 E" J8 M: N: D' h1 F; _2 C7 n; y) O& K
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 q  L3 i3 V0 J6 C
1 A4 ], t+ h6 N8 k. L7 c3 |: H, O2. 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; S6 |/ f; d2 P) T
- w# a; E5 f. m+ k0 e
[ Last edited by playbr2 on 2007-3-1 at 11:54 PM ]

guswan

Originally posted by playbr2 at 2007-3-1 21:34:2 I0 L  C8 v/ {9 h6 i# ~! N: Q4 D  ^
相信e條題目都有吾少人玩...

- b+ p  n7 t% Q, ^& ~
我以前畫左個chart去答,
. F& q$ I+ p% d# T* [" C等我搵下仲在吾在" H- r# m3 n* A5 w/ N9 g* q* ?
2 C9 ^+ i; a/ X/ W) O2 A
當日用左37分鐘答１２粒波子，差７分鐘才合格。
( t# x. a# H0 ]4 ^7 p13.........
& @. M# H4 S8 A) C5 j7 k  |5 ?6 ?& w
8 G1 b% k  U# k9 `[ Last edited by guswan on 2007-3-1 at 09:44 PM ]

playbr2

Originally posted by guswan at 2007-3-1 09:38 PM:. H' `8 p! X6 X" R! k7 J
4 N6 u( a1 a* ~( `
我以前畫左個chart去答,/ i8 \& M' B3 |/ s0 V5 f0 U
等我搵下...

3 g  y7 C/ Q, Y) ~
) [: e" O8 [5 L7 D' 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:
" l' ?; L) v1 z* f! V$ {8 x4 F唔識隱藏...已經諗到..

1 X% a# \4 z+ Y) W5 j( |' U! v3 O5 U5 R: L
sor !!!....e加改左
: V3 p9 q  N7 n( U7 v+ g* J
4 B5 P$ p/ Y5 [" Z1 u7 M: A# u2. 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  S& y$ ~" j% J. s3 k" c; V

2 U* a9 Z- f  u( 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:" \0 x4 W* W$ P7 {! B: i
相信e條題目都有吾少人玩...

; u5 f" d% T6 i  x9 }3 i8 ~

; m% C$ Y+ k+ r9 P* MPlayPlay, Let me know later who has the right answer and I will add points accordingly./ e) U. ]3 P/ _$ B+ ~* k
: P' |! \# H& {$ c1 a
Thanks

playbr2

Originally posted by Triangel at 2007-3-1 11:57 PM:% d* p' q& _. k8 Y
& S0 L$ U% a* S$ k

. _/ R9 `- _' z0 C4 C9 D4 pPlayPlay, Let me know later who has the right answer and I will add points accordingly.
: s  ~- C( g4 K- Y+ n
" o9 h: n; e; m2 q  g3 ?4 iThanks

) U& |' X/ L% H

0 z4 ~! O: \/ V% J不如你都玩吓喇....叫d叔叔加分咪得囉........如果岩既話

Azuma

1.
, N7 T8 R9 I) u6 Q1-6 vs 7-12, ^) F: b' r8 s5 C3 T
if 1-6 = 7-12     13 is fake
9 d0 g) b% f* Q3 b: T; F( h& a; g1 d, Q: X7 H, g) J0 [
if not
, e# e4 ^, n' T" G5 K/ Q7 l; j2 @: }- W
Weight the 2 time
) O' U) y( x" V1 ~) e   h! N5 |9 V! h1 ?6 Y2 C0 M, B
Suppose 1-6> 7-12
7 ^# e* D. l5 f/ ^- v
% x! L! E! ~8 c0 ?) I6 G1-3 vs 4-6
0 M$ y% `% p! P( b
8 ?4 Y' D5 P' G: L0 sThen Weight the Third
& M" x; \% p$ J7 ?3.: k; i' o, B0 B/ O  m9 z) [
+ U; n: Q. c: a5 C
Suppose 4-6 > 1-3
7 {5 X$ M4 j+ ?" C# C0 u" z- V/ U
4 R, a" U: Z0 w4 ~3 \& NJust like the first Step
& ^: F! F  Z* J( x: S7 m
# r! a6 q) ~' }4 vs 5
* z6 a7 n1 S+ m
9 Z2 r8 y- l( a; A9 ~% [  Dif 4=5 6 is the fake one
0 Z! Q! ~- M/ |' f; Z5 B: {
0 p7 Z; a- E. s* z; H4 Gif 4>5  4 is the fake one
* Y! R3 ^+ ?4 _9 [$ ^' z5 k5 D3 p3 j4 W/ U
and so on......................

hello1997

分3組4隻波子秤- R  e) y- x5 Z0 [4 X
1 }; M% ^( ^7 O+ O3 l
Group A: 1,2,3,4
/ [/ j/ j$ d2 B. N# @- gGroup B: 5,6,7,8
& c  W6 g# X+ ]Group C: 9,10,11,12* R( [8 e& B/ X% [1 j0 J" j" X
Group D: 13' v8 P) R2 _3 L
' h' y- @2 P) j  @
Round 1
) W! ]+ a. c# i8 K2 h  d: C' n1 @5 JGroup A vs Group B
6 S( E$ C4 [8 v* T' |  N, B7 i1 `如A and B一樣, 即較輕一粒在Group C or D
3 C: @5 J1 t- z6 h. h
5 r0 Y/ t" a8 q# iRound 2% ?" p( y# _' n# E
再在Group C拆成:, Y% Q: d# ]; u* u3 Y
Group Ca: 9,10
- |! f( P! a" G, r: M) z$ mGroup Cb: 11,12
( _5 d  J. S1 i7 h然後再秤, 如一樣, 即13為較輕一粒.
2 ~1 X. E) d' s: t/ v: t
' \" e  x9 p- ]3 i0 }- u如不同, 即較輕一組有一粒較輕波子在其中,
# ~% x8 d) l$ _3 R5 }  \要再秤, Round 3, 之後便知答案.
. l& _6 y: n7 f2 n& y6 {7 F; H* u3 I
e.g. #1 假設10為較輕的一粒; U1 H- w( U; Q# I3 q( z/ F% `" a
Round 1) U5 W! r# K/ `5 l# {% U
1,2,3,4 vs 5,6,7,8 = equal% c  x3 Q7 o1 q1 t

# m9 a4 s8 a1 uRound 2
( p. Z% [  I9 c/ P8 r' {; H: x4 f3 ^9,10 vs 11,12 = 9,10 < 11,12
% T) a8 T- X3 ^# e# K/ y( J
! T/ w( B9 b1 c9 T3 r' \/ A" Y" y- fRound 3
1 @( H% t% d" V0 |; C9 vs 10 = 9 > 10
+ R2 L' U/ u1 s2 E4 b0 D4 ]. J4 s. K4 o
The answer is 10.
. F: z6 s0 E6 Z- S
+ y: V7 o3 U  pe.g. #2 假設7為較輕的一粒
/ a$ J! ~9 e8 g" [. \9 HRound 11 Y: b' l6 @+ B* u3 q/ W! u- i
1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,8
. C3 I9 v# b4 r" l( k* I" Q! g4 q( ]) w. u3 v6 @
Round 2
! T1 }4 k, @- @9 Q) X4 }5,6 vs 7,8 = 5,6 > 7,89 L0 b) A/ Z2 E9 ?! R+ i

$ l9 }8 i& d' [# G# m! tRound 3  R! H! k$ b( _& w/ ]- x1 ~
7 vs 8 = 7 < 8
& i; R% F% b+ M1 P' {! G: p" [4 c0 |0 M+ h0 ~
The answer is 7.7 S7 P9 m8 b" s

; a; ^6 W" q! M. N: ye.g. #3 假設13為較輕的一粒
- k/ |1 v) p' c& j- z7 `Round 1, W1 U; g9 O5 ?; x
1,2,3,4 vs 5,6,7,8 = equal0 C- H8 ]! O- Z" d1 Y* G! n; F

5 m$ s, F) v5 [Round 2
+ g& d1 H# c, q4 p% V9,10 vs 11,12 = equal
; H4 w8 W( H3 w* Q4 n" J. \- f# V) V: Y' {: l3 p
No Round 3$ @# c* k* p: A& n2 c4 Y' _% R

9 b' N4 n: p& c! [4 zThe answer is 13.
  h4 \8 Y1 `( Y# R' ]! `. I0 R" }1 L9 Y6 W! `
唔知我答得正唔正確呢?! 8 s. d! j5 O9 l9 k! y

: t) j& `7 @' W$ K[ Last edited by hello1997 on 2007-3-2 at 12:39 AM ]

playbr2

Originally posted by Azuma at 2007-3-2 12:25 AM:! W3 A) r' l6 N3 e$ h
1.
' {; s; P1 K4 {5 x. m/ F/ J" m$ j1-6 vs 7-127 h, h/ i) U' i0 p% W/ c
if 1-6 = 7-12     13 is fake( [% X8 S  O+ C& U9 Y
6 N, W) B; N' v0 g
if not 4 v6 y+ Z: o% M; O$ [, q* c: A( P

3 h; \8 e7 V; n8 E# p1 `Weight the 2 time
0 r0 l* r. L9 G- D- c
* n- j; V) f) `9 x, gSuppose 1-6> 7-128 `- a% H2 C2 E; I

3 s0 \1 A- d5 Q6 g, L1-3 vs 4-6
& A6 {# s# k' _6 W
/ T5 R  i: L# V3 e( f" M5 A8 JThen Weight the Third
5 e( f9 w0 S) y4 }5 z6 I3.
& W% d" [, u8 U3 l, D$ h7 P/ M' T( b
5 W1 P4 Y3 n4 x& u% J: r% v9 hSuppose 4-6 > 1-3
3 m: k; ~+ e4 [, D/ f8 j, ]# z1 k: L, h" L
Just like the first Step- d+ J1 J" ~2 F
- g8 m7 E/ z4 k6 @3 `1 k2 f; ~8 N
4 vs 5
0 f4 O- @: K6 [2 ?  j& |, B9 h1 v. V& B& d1 j( w
if 4=5 6 is the fake one
4 c: V/ X# s5 F6 i0 k3 Y& W5 F' u. b4 I2 R0 j3 N
if 4>5  4 is the fake one ) j2 N6 Y7 k4 |0 M& M; K* Y0 _
and so on......................

8 M; w# V8 M8 J
) Q" R( }. {1 C8 \8 ]
6 }, Y4 r  _  i2 M
問題第二步
$ f3 W$ q' Y* ?1 F- D& H. D# A6 M' D3 H) l% }: o3 P& L
Weight 1:  1-6> 7-124 E- \# ]2 }5 s
! g% ]9 ^4 I# L" b( ?- N
Weight 2:  1-3 vs 4-6 , if 1-3 = 4-6
2 H( S+ S1 x3 W3 M5 p* R$ Q/ u9 ~6 d5 F6 L8 Q, }+ c+ y4 M
你第三步点去搵 7-12 边一粒???
' ~4 W. ?+ {  y5 O
5 }- V1 ^0 {  ~9 m========================================3 q' D1 V! o) G) _3 f4 q- |

  X8 C  j6 x$ y問題第三步' E+ [8 Y* f9 Y' h8 j5 W  D5 }) h

9 a3 |+ S8 j$ R, @, OWeight 1:  1-6> 7-12
, a( v) T9 l2 ]$ R! k% j" b+ [: x+ }& y' Q1 C+ A
Weight 2:  4-6 > 1-3
$ E  p% z( I4 u3 O% i" F+ c/ Y5 u7 M; 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