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  F6 L8 R7 p9 w& Z8 @3 Q0 m
2 f. u/ X  O* e+ t& Q7 z
『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)。: \2 ^; |0 Y$ g7 l  ~
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？』7 E3 g/ z3 u: y# e3 [
. R, g$ U# I9 i3 j
注意: 0 _! N, U! j/ N8 {1 B( \; c" T

0 c: V1 v) F3 R4 a& Z  N) w1. 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
5 z1 f1 n$ Z4 O% @+ e0 Z
7 p) n! N2 c- R0 X- q' 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5 W6 h5 v- q/ P% w, u5 x4 O- z# K
& K$ Y& j5 i" \, ]+ C% ]
[ Last edited by playbr2 on 2007-3-1 at 11:54 PM ]

guswan

Originally posted by playbr2 at 2007-3-1 21:34:
5 h0 @0 J3 A4 J) B/ ^+ C相信e條題目都有吾少人玩...

/ g; G& ?$ p( d9 i
我以前畫左個chart去答,
& X. j- Y4 O& A, a( m0 e( F等我搵下仲在吾在
/ z/ _+ ?6 y, V- W8 j, x( p% n; ^5 Y
當日用左37分鐘答１２粒波子，差７分鐘才合格。# O3 g+ t8 k4 C
13.........
* m: d: v5 G) K0 e
& _* }9 c8 F: {$ a[ Last edited by guswan on 2007-3-1 at 09:44 PM ]

playbr2

Originally posted by guswan at 2007-3-1 09:38 PM:
% `4 z# t& t9 k2 V; x+ A/ x1 A# D$ }5 U5 G+ t
我以前畫左個chart去答,
8 `8 Q) y1 Z% J( P. m等我搵下...

8 m0 _8 g9 O( M& j! C! J5 b- U* I0 j7 l
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:
8 v( G# x) ^4 |9 {) h/ L( L唔識隱藏...已經諗到..

; F1 c. N0 P1 m

- j/ N* `  t8 K8 l4 o, ~! csor !!!....e加改左3 D1 B/ X  P9 j; \+ i. s4 E$ S

5 V  g" h( K# f8 J2. 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; J. j5 f+ o3 @& B

) P3 Y1 A3 b' H4 P: y( C[ Last edited by playbr2 on 2007-3-1 at 11:55 PM ]

Triangel

Originally posted by playbr2 at 2007-3-1 09:34 PM:% E  @5 _9 R, S( w* Z% A% ^
相信e條題目都有吾少人玩...

6 }4 c% F  P2 x2 F! c# H

: p1 n1 @& u4 X: N5 |. ePlayPlay, Let me know later who has the right answer and I will add points accordingly.  I- @& z4 U+ o
3 ?4 o* [# j" n9 p: ?
Thanks

playbr2

Originally posted by Triangel at 2007-3-1 11:57 PM:8 M* G( Y8 s6 n3 t$ B

- R4 H- g$ H2 v) D$ S/ H: {; k  K5 \. g/ }# ]
PlayPlay, Let me know later who has the right answer and I will add points accordingly.
3 V1 R% L% m8 Z2 V; X( x! b( D0 S$ b' J+ o3 i
Thanks

" P0 `* [9 t; Y
( S$ n1 Y$ X5 S* C8 J不如你都玩吓喇....叫d叔叔加分咪得囉........如果岩既話

Azuma

1.
( `( ?5 v  h0 _, n8 i5 k; g* V1-6 vs 7-121 A+ ]" |: k5 r0 j
if 1-6 = 7-12     13 is fake
7 W' X/ m) A6 ?  [  s4 Z8 \; `
9 ~9 j+ a1 `0 jif not
4 x: e$ c; E, h9 K; o' H; @. i0 K0 r
4 n- u# j( z7 l2 iWeight the 2 time
" r" Z7 q7 C/ A( Z; g! ~
! P1 Y! G& e! `0 r! q' RSuppose 1-6> 7-12
4 u  n& w/ ^; \+ p7 s. x% n( {' [0 [
1-3 vs 4-6
! `5 N# S6 Z: y, @' G  n9 s( P3 L8 d- t! u$ ]+ P! X
Then Weight the Third
/ {; |0 |) d0 v/ ]0 P/ Q/ O3.- @7 h- K% F6 w( F# ~

' f/ j( q$ q* W) T# W0 YSuppose 4-6 > 1-35 R$ u! j4 m0 X8 R- A) r

% N' d4 w2 E/ T* RJust like the first Step5 b8 ?; P/ {; B9 y6 N& g  t

/ s& z6 F& x) p% ^9 z# k# x; F3 v) I1 g4 vs 5
4 N/ A& t# F4 _3 i% W. h0 A  @5 `& {3 i% ?( G5 f3 B6 a( u. z+ u
if 4=5 6 is the fake one
' i: ?4 n4 M' p( [4 r# B- |0 V; k6 M
if 4>5  4 is the fake one
& ^9 q& L/ B# N: [( \9 \3 V. {% z9 e5 K+ p- ^0 Z* p( k+ n
and so on......................

hello1997

分3組4隻波子秤1 }# M+ e& m- ?5 |
& F8 G  c# K/ w$ F2 ^
Group A: 1,2,3,4- g( Y* G* p' E3 \, \/ k" K
Group B: 5,6,7,8
2 E  H- V$ ^& z) Q& s7 J; {9 uGroup C: 9,10,11,12
4 y) s, m# p+ ?+ t% U+ DGroup D: 13
' z: S: c' ~1 b- m9 Q  c9 s) f$ [6 L2 z
' V/ Z& @) X% t4 oRound 1
6 x1 Z: E# S2 M1 y* B9 LGroup A vs Group B4 l  W0 q7 p' `$ z& |. l
如A and B一樣, 即較輕一粒在Group C or D
2 n- \9 z, I4 |7 Q. F
; P- a4 A$ i+ G/ E5 W: t6 S9 ZRound 2
, O3 s1 e( V" N; h0 Z! J再在Group C拆成:
6 A  d3 f; ]: t- u4 q6 Y$ q5 g! q' hGroup Ca: 9,107 U  p% ?5 }) U! Q) w+ P6 F4 j( o) U
Group Cb: 11,12' _5 v* ?$ b/ g, z
然後再秤, 如一樣, 即13為較輕一粒.
) N, H" g6 l9 O& q8 L$ c$ B3 ]3 L/ o& [7 M2 h' [) Y6 m, r
如不同, 即較輕一組有一粒較輕波子在其中, ! p2 @2 X- d2 B: K1 a# `
要再秤, Round 3, 之後便知答案.6 q  W7 A( _5 ]" i2 w
" u8 X$ R- l- ]) o
e.g. #1 假設10為較輕的一粒
1 O; Y6 y! M1 d3 B/ qRound 1
( g* W. y- @% Z1,2,3,4 vs 5,6,7,8 = equal
# {# l( q7 o8 q2 g
  N; |0 a& L! G( b' W5 o6 mRound 2
, _" i7 P+ e6 d9,10 vs 11,12 = 9,10 < 11,12: |$ {: W( _+ ?# @: w3 t' ^# A& h7 g
5 |2 h- ?- |; Y4 N! D
Round 3& w5 s8 @' u6 r* e5 x. y7 {
9 vs 10 = 9 > 10
' `7 E. h6 h; D% c& v  L4 [/ m* [7 F8 y+ C4 |
The answer is 10.
+ `; Q( i  ^: d. o9 }
1 s8 D$ R; Q+ |7 Ve.g. #2 假設7為較輕的一粒& c' z9 C5 n% v, q
Round 12 L$ @' v& K6 w. Q. i( n
1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,8- ]' ^2 q) n9 M2 m1 \; B! h4 f, Q
; N3 f+ @. S( m. m0 W
Round 2* U' b- v' }  M8 ?4 ~! j( S
5,6 vs 7,8 = 5,6 > 7,8
7 A5 B" m9 |# x! L& v% n
9 u# K+ D0 g5 G# n3 hRound 33 _4 {1 A3 Q; B! B- B* [
7 vs 8 = 7 < 8# N- G7 ]3 E7 ?0 b

- f0 @6 D( t: S# c: uThe answer is 7.' C4 x+ m; ]& E/ A; J; L) q

( G/ A/ H4 C' E/ c9 ae.g. #3 假設13為較輕的一粒
+ a7 K8 H* l1 G4 ~. J( k  J8 MRound 1
+ z; X2 U& X2 \  j1,2,3,4 vs 5,6,7,8 = equal2 {* U7 Q, w. l  s. o
( C* b5 l9 @: S! u
Round 2
" v4 e7 ?$ J$ d6 H. _" C9,10 vs 11,12 = equal
: @/ Y' u6 g6 X9 z/ T& Q
5 R3 y& U' n' r! y3 JNo Round 3# r+ n, m" q. W( U; l* N
, x. n+ {! a9 {! _1 {; V2 t
The answer is 13.( C7 t) ]! w* F
  g# n. B. `' |! O$ r% W$ L
唔知我答得正唔正確呢?!
* u; ]9 r; b* V2 B% J: u! G/ i: c/ n* o- n! L5 d& Q
[ Last edited by hello1997 on 2007-3-2 at 12:39 AM ]

playbr2

Originally posted by Azuma at 2007-3-2 12:25 AM:
' x9 N1 T4 g5 ~7 g1.
& _' |& U: m4 [2 H1 \: j1-6 vs 7-12
8 }* Y  X+ P+ G4 B5 vif 1-6 = 7-12     13 is fake
7 }) c1 Q& f+ C2 l: J- i0 y, G1 z/ @& P3 o4 N1 K: E9 P! B
if not
4 r( E3 o* v( ]/ Y3 u! Q  W  R  l5 l% b# f+ w$ ?0 N' ?( I- I
Weight the 2 time
) i( v* z8 k  A. w3 d2 d" i& R$ G
2 V& [; N' p& w$ q0 z) T1 fSuppose 1-6> 7-120 L; w* r3 m1 Z3 ^5 L

/ ^. \$ F6 J4 o$ ~# ?: x" x; ^1-3 vs 4-6 6 E# T6 f0 n) ^3 H3 Y& E

& U- x( z. D. x" Y6 v6 IThen Weight the Third
; ]$ r7 g% e) u5 [3.
  \) _- v: W3 x7 S) W: Z2 x/ f1 M& b: ~
" D+ m' b8 P7 t. ^  Z9 fSuppose 4-6 > 1-3
0 @& \5 `. D3 w6 d6 @$ z
$ z- Z' V8 u3 X* ^! Z) jJust like the first Step  b) X, h* w5 K& m

4 ?/ a2 E$ z" u. d% y, N4 vs 5 - m8 s: f8 E7 m, `- n
0 c( l" E( ^- S6 |% z% s! D
if 4=5 6 is the fake one
  i/ L% c; `6 f: Z- Q
: E# y9 F3 {0 ]$ j* j, F2 c& G, Lif 4>5  4 is the fake one / Z% `* y" M5 l
and so on......................

, {  S3 u' q6 B( \. h3 C
7 W) _. c- B" m5 r( M3 n6 R& ^) B" h( x9 r0 B( o
問題第二步$ m, S. ~2 M' k+ }6 P3 N5 S+ T# |" d- t% O

' D) X5 [, f" @, v5 i: F( L$ gWeight 1:  1-6> 7-127 J4 {* h* {; K7 s  A0 H. w" @

0 m! o1 N6 e& M" g; `2 ~/ sWeight 2:  1-3 vs 4-6 , if 1-3 = 4-6
9 [" z5 @1 [' w1 M. a/ P, C: {( F; ^7 M  n, f. i, i  U* e
你第三步点去搵 7-12 边一粒???
7 L4 {6 q5 o: L' f! ~6 y" O* \& `+ Y. {1 r/ d' k
========================================
, R* @3 [+ a4 Q6 H9 t! s" ~" k. [9 t2 Y% A  {# v  E  [$ g, _% g& s/ U( C
問題第三步# P' W0 A# u2 G

; D& [: J5 _1 _( ZWeight 1:  1-6> 7-12
+ O& W: J' T4 Z$ ~" S2 B0 H5 E- [9 n. n! B% |- Q: C" ?
Weight 2:  4-6 > 1-3 4 ~; N3 v( A, l
, f* ~8 ^7 L4 {% A
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