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
& ^7 x% W9 i- H5 R  w( F9 ]7 C4 ^% V) }1 t) {9 {
『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)。- ^% i+ ], }2 F( t" h: |6 Z
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？』! O7 P8 t* d" e' s, m' q& y

; b; y: s1 L5 P# Y! f注意:
0 H4 g3 P- ]6 L$ Q" D9 S  K) h  D& c$ E  Q& h  V0 q9 Q$ F: Z
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
  g$ r/ [! N9 O
+ X8 x! [! X$ v7 @6 B: N2. 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9 s5 @. U9 g- y2 j) o. ?
% ?) K1 x( R+ L& J* B5 P
[ Last edited by playbr2 on 2007-3-1 at 11:54 PM ]

guswan

Originally posted by playbr2 at 2007-3-1 21:34:: [( q( G# N3 h2 U/ H
相信e條題目都有吾少人玩...

, v4 O$ Z2 r: v+ f) k& E
我以前畫左個chart去答,7 K6 T' [8 Q" b3 d1 Z9 R
等我搵下仲在吾在
9 Z( b! ]5 a  f5 w' ^8 f  b8 B: Y: u: G6 Q* g9 z- ?8 {
當日用左37分鐘答１２粒波子，差７分鐘才合格。+ {" _* I0 K. \
13.........
" u$ |3 H& m) w3 H2 u  |5 I0 H3 ~/ _3 ~# ^& 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:9 [2 a0 y* R1 V( j
/ ~9 j" ]* a% o4 L4 Y
我以前畫左個chart去答,
+ w8 \( ]9 M2 J+ f  ?等我搵下...

' V# o4 v# T5 {5 u$ L0 C6 ]) K% v. f8 m) }3 f
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:
. D  E. Q# @# C+ e9 V+ s唔識隱藏...已經諗到..

, U- U, a0 j2 h7 C" t2 m& `! ?4 `( U* d( d! K9 y* l0 N; i3 T/ N2 o
sor !!!....e加改左* t8 D6 F0 ~3 g' t6 {

* P2 N- x$ g3 Q5 `! Q2. 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
- ~+ m5 h! a, N7 ~( Y% d: w" Z9 v' J( b; y) Y$ r
[ Last edited by playbr2 on 2007-3-1 at 11:55 PM ]

Triangel

Originally posted by playbr2 at 2007-3-1 09:34 PM:
# y+ f# r7 k: Z0 X, M1 \5 I相信e條題目都有吾少人玩...

0 w# Q0 y" j+ O% s
; F0 r5 T, x7 M0 x( p( NPlayPlay, Let me know later who has the right answer and I will add points accordingly.
; ~. z$ E) c" X' ^$ @8 F
$ f7 k4 ^3 k0 M5 ZThanks

playbr2

Originally posted by Triangel at 2007-3-1 11:57 PM:
, U; s0 m8 A- ^" t1 c- c
; O8 Q0 a/ L2 |5 n# k
, S  M. d' ~+ }& l  @+ w0 G2 ~PlayPlay, Let me know later who has the right answer and I will add points accordingly.+ ?4 n; m/ O) y' D( }( z

4 r8 l: S: @4 [# S* s0 D9 wThanks

2 ^1 [* J6 C6 Z9 A

& G' [4 t3 X7 D( F; o8 c. Q. ]不如你都玩吓喇....叫d叔叔加分咪得囉........如果岩既話

Azuma

1.
0 t: a9 ]; }" A; n' Q* d& d! i' L1-6 vs 7-12# @7 n' \* i1 M8 |' d+ I/ ?
if 1-6 = 7-12     13 is fake
+ z4 \5 @; B* r+ s& I$ R! _4 O5 c( }4 ]# @. X
if not
4 w! e/ D5 j. K
/ ]3 g6 l. q/ LWeight the 2 time   N% K5 d; u- }- a6 l' H
' f9 ]. Z# S- I1 p& H
Suppose 1-6> 7-12
. s7 q2 ]; E# K" L
6 E$ Z$ W. F; I, k1-3 vs 4-6 . B  r9 S7 c) z# y7 L

2 W" p& q8 x2 ~0 c  jThen Weight the Third& |% t. O# |% F4 Q
3.$ C; G1 r+ r7 Q4 a' A

- D0 k& m/ j& |Suppose 4-6 > 1-3; P7 g0 S3 ~) f
" T7 i2 P4 h' O% W6 v
Just like the first Step
+ s' ^5 P' Y3 l- q% M/ Y/ v" b+ {5 u1 q9 M; k, V/ d% b
4 vs 5 4 c3 P5 e- j7 ~1 g: \

; B7 o  C$ f* @' @; Sif 4=5 6 is the fake one
, V; K: X- C4 t0 g0 D6 A" i
  t. s, E+ J# d% S( A' O6 C0 kif 4>5  4 is the fake one ; v5 @& b1 ^. c) `+ z9 [
0 S* Q. i& F1 A4 z" r2 V3 n; j
and so on......................

hello1997

分3組4隻波子秤
( z+ E/ v# G6 T8 i6 N
9 ]. o0 V# {9 a% D' g1 c, TGroup A: 1,2,3,4
  w. j# c( \$ g, _7 r% s: VGroup B: 5,6,7,8- h  p$ ?3 [0 [- D: K
Group C: 9,10,11,129 u' k& f+ ~$ L8 e! c- _# m9 k6 H
Group D: 13
* d( m4 S6 d# g, t" w1 N$ l& P7 r) v" g
( x  j; D9 ]$ y% B; ^Round 1
3 Y5 Y# J  A9 T# y0 I6 _$ U6 SGroup A vs Group B) k' Y( ]* T6 X
如A and B一樣, 即較輕一粒在Group C or D) u  a4 P2 a8 n

$ V0 S& _. x& @2 oRound 2
* o, g" x1 X2 U! D% _+ N4 x3 I再在Group C拆成:
" j1 Z1 x2 M! t; {5 R! [) ^. n5 UGroup Ca: 9,10
. c) v  d' t* }6 d/ p+ K6 nGroup Cb: 11,121 d/ W5 j- R. `. ~
然後再秤, 如一樣, 即13為較輕一粒.; i- U! M$ g9 ~

: W& D9 X: m; Z  W8 p% a( h2 L如不同, 即較輕一組有一粒較輕波子在其中,
# ~$ i1 _3 m( H* J9 g; U要再秤, Round 3, 之後便知答案." S  ?' j4 g5 p9 ^/ B+ g' R
( K3 V  ^! D5 |! M; f7 ^7 K
e.g. #1 假設10為較輕的一粒
! e- L2 y: ~( z* W1 U& \- _& Q* G; J; _Round 1
6 S8 _  e5 k: ^# Y) _1,2,3,4 vs 5,6,7,8 = equal
. j  h+ P+ l) ~5 m! o; R( U6 ?1 d. e' Q1 ~$ T$ d, E* f& H! J+ m
Round 2; Q9 a' o1 X9 _/ R5 O( `1 b* u; a' L
9,10 vs 11,12 = 9,10 < 11,126 R+ {2 |1 Q+ @
* w7 m/ K) k( B) a5 R
Round 3
8 v1 y6 ?9 H( w. {9 vs 10 = 9 > 10
9 K/ B  e" j$ H8 q2 N
( _. X* {9 c8 [! QThe answer is 10.& I% D4 J  \! [/ _. e* C1 }; ?

& f7 Q! C% |: ]% a- a: Z2 ^3 `  `4 ?e.g. #2 假設7為較輕的一粒# O! ]) s% ?$ k  z
Round 1; |# k7 S/ s+ ]8 N3 Q+ `2 e
1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,8
% j: x2 Y/ K9 r$ [2 s" D4 p& }' T' R; V" V% s/ r! n* C9 {
Round 2
" L8 _! j7 P% W, T5,6 vs 7,8 = 5,6 > 7,8$ f& m& c9 X3 |* [9 @3 t! d

  `+ n8 i; h0 fRound 3
/ B: k1 z+ m5 i. S- ~+ N. l7 vs 8 = 7 < 83 z. `1 g, x& _5 c. L
: |* T, w3 ]$ h: c
The answer is 7.; B  g1 c% c: l" q% K
. o4 I$ t% w1 U. {6 A
e.g. #3 假設13為較輕的一粒2 B: d2 r! l9 C5 s
Round 1  Q$ ^" p. G8 a( G- w/ l/ K9 \# P
1,2,3,4 vs 5,6,7,8 = equal0 `" ~" H" [  W( ~  M5 A( i. P
$ a0 b! S$ U* Y( }- ~  z
Round 2
0 Y1 `8 T  p/ U9,10 vs 11,12 = equal0 I  B. G8 P0 J& X5 @+ B& k- ]( _

" Q* [. ~6 I- b6 b: X% `  d( @No Round 3
- b* }, V$ u8 }, i: T% U. a, N
" P7 R8 x( n  o  U  [The answer is 13.) j- `! `( U& |; ~5 R+ [+ ^2 n

  y2 z4 X) W9 X4 S" V- @4 e  O% g唔知我答得正唔正確呢?!
# v' L, U2 J8 S$ F: ]  i+ R
7 D, u: V9 z* Y% n# [; R[ Last edited by hello1997 on 2007-3-2 at 12:39 AM ]

playbr2

Originally posted by Azuma at 2007-3-2 12:25 AM:/ d0 d4 ~# c) R# J) W
1.
$ r% e7 p$ W! K  z' d  P2 f1-6 vs 7-123 n, E. g# v+ T9 ]) f9 j: S3 f. d
if 1-6 = 7-12     13 is fake
0 c2 m+ Y  p# _! b2 y* S, w
" _; A5 g* g7 G+ s2 yif not : ]" w; w! r5 r1 O% F; A% q
5 Q0 }$ a* y, o, q* h$ P& p, p5 [
Weight the 2 time 3 k5 N  W7 [7 |( K* y2 Z# U. E: Z
# p0 I8 Z$ o* f+ w" B
Suppose 1-6> 7-12( _0 K& o/ Q, r5 T( [1 p1 Y

9 F& Y- _1 ^3 j" R* B2 Y1-3 vs 4-6 7 J: J: X; W) t/ M4 |9 ^, \+ Q8 B

7 T4 l/ V/ w9 s) Y' o, _7 @  HThen Weight the Third
( V' Q" s1 W# J  M8 p( E# L3.9 n" ~+ q3 Y: a) v1 ~
. I6 q+ G1 w; ~
Suppose 4-6 > 1-3
" D! c. ?5 g9 @, \3 o* ]( A5 v4 x. |. U/ _7 t% I& y( s8 z0 s
Just like the first Step- [% H$ ~7 w" {! u- U, ^) e

% H6 t# `( K, a% `! S/ P4 vs 5
- u) u4 Z" e) K: ~; ]) m( }) ~4 Y/ W: Q. D
if 4=5 6 is the fake one 0 Z4 x( k* d' U$ q6 X* e1 ?
. H, `0 R/ E" P) C
if 4>5  4 is the fake one
$ x3 Y3 I3 C7 y2 r" R+ qand so on......................

# U+ o! M& Q* }# \9 ^  f; H* Q9 v9 n3 x' O" V" ]4 ^7 ]' I
' s% T/ Y3 f) f# ?
問題第二步
8 n3 j" q. G" Q
% v" S6 a2 r% U( n4 B0 P1 A. q+ eWeight 1:  1-6> 7-12
1 q5 w/ c$ s% v, M9 l- _4 Z4 e! ?5 K7 T
Weight 2:  1-3 vs 4-6 , if 1-3 = 4-6
! g: z% r) x7 h# G6 F, G+ h0 V6 n
7 D) M- H) t. {$ \' e5 r9 c你第三步点去搵 7-12 边一粒???
$ P% a/ G3 c7 d% C# h, r$ |7 l* ^8 k" m" W/ L$ ~
========================================
; h5 u' y7 P) ]+ {% F0 q6 x% P7 G  b3 m: `
問題第三步: w8 ]% k0 b  h2 ?% q: W
5 r( i4 }4 e; j8 F0 [! l
Weight 1:  1-6> 7-12& |. Z% O% [$ f# r: N) r/ V$ @5 \4 W

2 n  T* a  z* C$ c" m, WWeight 2:  4-6 > 1-3
) [+ F! L2 Q* m( u( l6 D5 N. z. p6 ~
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