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
. c6 `4 {2 v9 Z2 X& M; T0 T* F6 A
1 M( E/ q5 P* G8 Y2 h『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)。, r7 x' p5 V1 I1 f
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？』; J% g; n& T8 ~1 H

% q9 p6 J& i) l$ |+ ~注意:
% T& s5 F5 Z5 G/ E$ a% J; P
1 F) ]+ G0 W) L# u" F6 Y& Q1. 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2 n/ I) ^$ ]$ Y+ X

2 W) n% `. u2 c. y2. 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
" H9 V- L- A  z, g
6 X8 I8 A9 H' K2 ?[ Last edited by playbr2 on 2007-3-1 at 11:54 PM ]

guswan

Originally posted by playbr2 at 2007-3-1 21:34:- u: j% {" y- Y5 V' D
相信e條題目都有吾少人玩...

9 _' e0 ]3 U' ?6 G我以前畫左個chart去答,7 W# V- O! |" o
等我搵下仲在吾在
" f1 \; E7 ^' ?0 E* C% g; ^8 R+ o
# Z3 h7 O  _- C2 Y當日用左37分鐘答１２粒波子，差７分鐘才合格。
; {& S% h: k: o6 C% s- I13.........
* d# R& r& E0 J
9 _9 v+ T$ B" y) j6 N- O" j[ Last edited by guswan on 2007-3-1 at 09:44 PM ]

playbr2

Originally posted by guswan at 2007-3-1 09:38 PM:' n" H) w0 X2 r( V7 }+ O

% b* V/ k& D0 z/ o5 f% t  G& z: c我以前畫左個chart去答,
: r; i) _1 a! J/ Y- T0 Y+ d% W等我搵下...

$ s( e; o: z7 a- [; [
: w' I( }0 l2 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:
) p" ~+ O* U: F唔識隱藏...已經諗到..

& `* B  s" @! S

+ u9 ?# ?2 k* osor !!!....e加改左' U/ n$ j" G; A- w5 y6 _0 d$ J' L
' h: v: M- r5 K; t& Q& G: e
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
8 j' |  \' e- b0 {. I7 ~' n" Y) g3 v4 w; Y+ E4 e; ?
[ Last edited by playbr2 on 2007-3-1 at 11:55 PM ]

Triangel

Originally posted by playbr2 at 2007-3-1 09:34 PM:
: m# O+ j: u" }相信e條題目都有吾少人玩...

" S4 h+ e4 ]+ U8 ^+ _$ D" a% r4 }8 v8 I4 p0 C, `3 A6 q5 _7 j
PlayPlay, Let me know later who has the right answer and I will add points accordingly.
- b' U3 H/ o; O8 ~* I% U3 E; m6 H! s
Thanks

playbr2

Originally posted by Triangel at 2007-3-1 11:57 PM:
7 e( M! a/ }0 P- T  t4 h8 t' [
% `% }- x) M$ n0 {1 ]
/ D& w( L: `1 Q6 o9 APlayPlay, Let me know later who has the right answer and I will add points accordingly.
# K3 E8 Z  K  S5 M) G( ^, d9 A$ k% Q- l2 _, {! J( q
Thanks

* o% W6 S7 E1 {, j+ l0 ?$ F* E
% |3 X1 m3 ?6 K! V* H
不如你都玩吓喇....叫d叔叔加分咪得囉........如果岩既話

Azuma

1.7 N& b3 L" A1 D  h2 p
1-6 vs 7-12
& m3 s7 J8 L3 J, K+ fif 1-6 = 7-12     13 is fake$ u( \& ?: Q, K# B& O

; i0 b/ j  ?; [( F9 j3 x6 fif not 4 f9 m' `; R2 H$ L
6 j; J0 q! V: b4 d: x
Weight the 2 time 0 F. g( B# Z4 ^* B; W
0 j7 O' V  I0 O  H
Suppose 1-6> 7-125 P' d: D7 W: T0 I$ Y& m) _& z2 |

+ X/ @' g* T5 `% k6 l. P1-3 vs 4-6
* X& {& x  c7 r* ^3 ^
- H4 l+ x, X% C" I7 M7 f' tThen Weight the Third/ j$ Z. l! w5 ], ~$ h! x* t4 @5 K
3.
2 M4 m( L5 N7 A& r, a, F: F* ^3 i8 P, [2 E
Suppose 4-6 > 1-3
4 j: }( E) r% _4 V4 U1 ^! V( M! k( I& H9 ~) y4 W# t4 T1 l! V+ _
Just like the first Step
( C' F1 u% T% C. e9 D4 k0 h3 ]& L7 K0 J3 @* u7 @
4 vs 5 . g' n1 ^5 A! ]. G  i, l5 p2 S1 n

" `1 ?/ O6 C; D+ m9 X" w4 Lif 4=5 6 is the fake one
% O' s2 q& K! J" Z! }# v. j; N
$ v2 X$ `+ K8 S2 Kif 4>5  4 is the fake one 4 L: h$ f, H0 t% o& b3 L* W

8 `) B# m( V9 Nand so on......................

hello1997

分3組4隻波子秤( I$ V4 Q5 y% z9 q' L
2 ?& {" d, l" u4 F" e; Q- n
Group A: 1,2,3,4
* H9 Z, @9 Q% V. q# @Group B: 5,6,7,8
) q) \* f$ o/ l) T6 k* U) TGroup C: 9,10,11,12
5 |% T3 O, s3 p+ h, T  VGroup D: 13
. C( J* r* r$ e* J5 a5 R5 P$ N$ F. c) d1 ?
Round 1
8 f. F" T3 {& Y5 x9 Q8 n% DGroup A vs Group B
0 t- X# o4 B- a7 u) @& G如A and B一樣, 即較輕一粒在Group C or D
5 d6 V  K, k- y' S4 `) u8 D2 h2 [- Y4 z" U" o. h
Round 2! m8 n6 D9 w) ~0 w7 |
再在Group C拆成:- U  `+ E% h, c$ a7 |: F9 B4 u
Group Ca: 9,10
2 j0 \# y0 K& j; N6 _Group Cb: 11,12* F- c  K! n- D- r% e
然後再秤, 如一樣, 即13為較輕一粒.+ l7 f& H/ G; @1 t2 s# l

8 n( E8 k5 I* a4 l( u8 x! y  p如不同, 即較輕一組有一粒較輕波子在其中,
: G% G$ d) b6 A( B- h% |& p4 f要再秤, Round 3, 之後便知答案.4 A" K) m- \% ^/ L, k
  T! g. R0 o/ ]7 C! b$ w: c
e.g. #1 假設10為較輕的一粒
+ x! ]1 ]* ]/ P( W/ F6 R5 uRound 1
: m6 t# t7 M4 e0 y! g9 X1,2,3,4 vs 5,6,7,8 = equal
# X* n8 X* J, ^2 ^0 g0 ?& [3 _
& A0 }3 N' t( m: R' cRound 2
: [  j+ x( c5 S2 }7 ~9,10 vs 11,12 = 9,10 < 11,12$ Y. h! x! y8 e& D, c
" ?0 ]0 _8 }* V) h% q3 \% g  g
Round 31 y* M9 ?' A$ K! Y0 |- x
9 vs 10 = 9 > 103 \7 ^  ?* s  o& O# e' F) b

! L2 W1 p' I4 h& b  i9 OThe answer is 10.2 |3 e- P6 v! |7 D4 E$ ?9 g& K

: f$ o" c6 h3 p, v0 ne.g. #2 假設7為較輕的一粒
5 u9 Q; y# v, kRound 1; X5 P! n! p) s& ]& T7 r4 t
1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,8
3 ^) ~1 N/ I5 K$ k2 R( q% S% h- y( W/ T! z7 f+ o/ H
Round 2' r, e/ `. l  m( M$ N6 |
5,6 vs 7,8 = 5,6 > 7,8# B; `5 _8 e/ @8 p9 n0 B8 U/ o
9 l* U) Y7 c& V! M
Round 3% `* ^& R- Y& J+ v
7 vs 8 = 7 < 8
" f" d) n8 b2 ^
. d8 t. h9 ~& }9 p( c; x- p1 Q1 x* dThe answer is 7.
1 y: G+ i+ J+ N+ ?7 S" l
1 e2 v5 b) t' F" {/ Xe.g. #3 假設13為較輕的一粒; t+ @/ {" }& y1 O# g* W
Round 1
& p5 t5 K! \8 P" u( j1,2,3,4 vs 5,6,7,8 = equal
& ^( L# r. \# _$ ?' Q( }( Q7 f- Z( Z
Round 2
. \: u, h; b0 Z! O" M( j5 r9,10 vs 11,12 = equal$ p2 b) ]4 P+ _) F  P: \. X/ R
7 O# \/ u" v7 e& C0 d4 j
No Round 3
5 I( {& y  _1 Y4 j  k
+ _0 }" g  s9 z5 \9 i8 b+ U* kThe answer is 13.1 M% f* y5 ?+ }/ `% @6 l
  V) {0 \* B' \* |" W3 F- T7 ~) ^
唔知我答得正唔正確呢?!
. R  y, U8 A- {2 `% S( m, K! i2 A/ h; y$ W# X/ F  c8 E5 \# @
[ Last edited by hello1997 on 2007-3-2 at 12:39 AM ]

playbr2

Originally posted by Azuma at 2007-3-2 12:25 AM:
/ d" U$ q, o5 b( _( Y1.( @% D/ o' y/ J# U: R
1-6 vs 7-12* B6 d1 L( V+ X, }0 _
if 1-6 = 7-12     13 is fake. l9 z+ [4 |1 e$ `2 Q1 s4 m' R

7 \  {5 U7 ?5 H  i. i2 G6 uif not
9 k7 H; R' G( F) p( o! @$ K% s
5 i3 X5 ?0 A' V- K+ m8 c, sWeight the 2 time 0 |+ ~% |/ ?5 t) k" o) e
% `/ w" A2 i9 s) X
Suppose 1-6> 7-12
& C/ \+ J3 a% P$ _- @" y4 |
4 t2 c+ H( S0 Z2 }1-3 vs 4-6 4 r2 q7 S; t) C: ]4 q

8 A2 g! n6 G' |. |Then Weight the Third7 K1 b1 W3 M. ~" G% A  F
3.
1 |9 w. G& d( y! J# j; ]7 a  T- i2 d( |. ~
Suppose 4-6 > 1-3  V7 ?- _- O- k1 P' G3 a% ]9 f

8 k- Q9 i3 x! mJust like the first Step
$ Y3 O" h% C3 H" X
# X3 y) J! C4 ?; c& P, c4 vs 5
( B: U% b; {8 x7 ^' L9 j
1 R, l! w9 o/ y8 ^if 4=5 6 is the fake one
  c( p- M4 H$ K8 ^- m2 a: v. ]! w: {: c/ B- M. l5 K
if 4>5  4 is the fake one
. n, a8 D( S* x+ tand so on......................

0 W$ c% {5 |4 P7 [
$ E4 j  R( ]* ^! `

5 K# h) P) [" n問題第二步+ ^, P, m, c# H8 J5 E9 X
  y$ l" q: ]5 {" q$ e+ K
Weight 1:  1-6> 7-120 o0 Y+ j+ h  y  L
1 r& P( Q" u, `, Q$ S! d
Weight 2:  1-3 vs 4-6 , if 1-3 = 4-6
1 r  p) z# q4 h0 ~* ]% ?7 X+ z  x  f$ {# S
你第三步点去搵 7-12 边一粒???
/ E) D/ Z- V  Z1 T% y9 L7 n
" ~  Z" s7 @7 E- K& z========================================. \4 }8 V: s; `6 K
* Z' ]( ^/ Q+ A
問題第三步
- U9 d, o# {$ e' M4 h
* B1 v# D4 B( X1 y1 XWeight 1:  1-6> 7-129 O' r+ y( p% g- A0 A+ H) G7 A

# `- n( a5 U2 _7 {+ v* N5 ~4 V4 @) T7 lWeight 2:  4-6 > 1-3 . e. N( f) f. S( w

9 w; O2 Z% d7 j: |  k. x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