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
) y+ ?( v- i3 v* ~4 G
  u  E8 S) K  s7 ?7 D0 l; U『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 [5 `6 K" f3 L1 b) 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？』
. ]) L2 T; P# _7 c; P( x  ]' m" s1 D. C2 M- \
注意: ) |% d1 `1 l# ]* w, ]& E

* ?, [& ~: }% D1 ]  j5 L1. 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
$ N% g& R0 b' Y5 i, W/ V; K1 A, u0 q+ P) t
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  , hide 字要連埋 , 內容 = 答案* ]) F4 ]; W, ?1 S2 r- s* n! m
" X% I2 ?7 E3 b5 @0 Z
[ Last edited by playbr2 on 2007-3-1 at 11:54 PM ]

guswan

Originally posted by playbr2 at 2007-3-1 21:34:
; X1 ^" }* k' \, ?, |0 L相信e條題目都有吾少人玩...

" A1 P2 g$ u5 Y! o* Z; |3 N! f! D我以前畫左個chart去答,6 W+ Y- J# K8 G; d: A% ^
等我搵下仲在吾在: P2 T$ B" ^( m) I" p9 h/ l; Y$ o

% t  S+ I  S9 I- U% u! N# ]當日用左37分鐘答１２粒波子，差７分鐘才合格。: H6 z: c0 r% S8 y! ]- @) I
13.........* `0 p, L# N' o6 Y

& C2 \. y1 `+ S& L[ Last edited by guswan on 2007-3-1 at 09:44 PM ]

playbr2

Originally posted by guswan at 2007-3-1 09:38 PM:
& p1 ]2 X% j. f5 ~  t
  D" r* j1 m+ {; R我以前畫左個chart去答,$ F9 K1 q' f$ N$ W0 O: ~
等我搵下...

0 g: k2 @  L' v/ U3 w& e7 ~: ?/ k. O% K6 y7 ?
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:+ }( {6 E+ F; \  b" b& x
唔識隱藏...已經諗到..

: \* B& O, k4 o; c5 X. M

1 N- i/ d) }$ V$ ]% n: o( Ksor !!!....e加改左
; t: O; t! C. i" y% B. e: y  K
  E) S, Y" |9 C7 E* U  D7 h' C7 U4 ?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 P# L- G" f& ~

0 K( o9 O6 k- H* \[ Last edited by playbr2 on 2007-3-1 at 11:55 PM ]

Triangel

Originally posted by playbr2 at 2007-3-1 09:34 PM:
3 r* K# A+ |% T  R7 n相信e條題目都有吾少人玩...

& o2 i( s( n: B8 [7 s

$ t- ^9 y) {# C$ f1 E& D" d6 O+ TPlayPlay, Let me know later who has the right answer and I will add points accordingly.
( O4 o( y  Z7 b4 ^+ l% |& v5 f) ?* ^- y  A. M# s9 g. G
Thanks

playbr2

Originally posted by Triangel at 2007-3-1 11:57 PM:
0 k7 `( r1 a! p3 f+ G8 \3 }- ~; q# f8 t" w: \/ h! E* q
% g. _; ^0 _+ Z; k
PlayPlay, Let me know later who has the right answer and I will add points accordingly." R$ L: ]" }' z$ \, g" p% e. C! U
" U  X; R* F" {: W
Thanks

3 s) M/ `% a6 W6 f% m6 b* c
3 \% Q' K' S# z( q0 X, X5 b不如你都玩吓喇....叫d叔叔加分咪得囉........如果岩既話

Azuma

1.
# F1 ?+ V( q; Q: D. w1-6 vs 7-12& P1 Z$ C, i1 ^0 h- B' b
if 1-6 = 7-12     13 is fake3 d: u- U- q; R) ^
4 G# s% `/ y) Y) [6 G3 E. ~' @) p
if not
& @! {4 |% y& T; u7 o; O* k( _* R4 ~
Weight the 2 time : O, y' M& H5 }

/ e5 [9 p$ }$ W, v, kSuppose 1-6> 7-12! N4 I9 Q' @/ M% r& r

; q. Y8 _/ g' q+ y; F2 X1-3 vs 4-6
) |& [! x- N) s' Z  O2 Y/ s8 D1 K7 U! n& w7 b% i! v
Then Weight the Third9 d! y5 m: Z. [6 z5 I( z- x
3.
+ W0 i) p" D3 `
- _  R: B* w. p7 \0 X/ c7 DSuppose 4-6 > 1-3' `2 |+ T# ]( x7 J' t
& T0 z9 k7 \7 }
Just like the first Step' {& F' F  X0 h+ |( q

5 C* }; Y3 ~, M1 A# v4 vs 5 . s* t7 b9 A( i; q3 A

7 {0 U  B4 I. V3 |  w% cif 4=5 6 is the fake one
2 W: g5 s- S+ C- _3 H3 l
0 ~# Z# c+ |. T1 K& w; Y' @if 4>5  4 is the fake one % a; m0 s: r# e0 T1 n! L8 k3 [

- E2 \& t! x0 ?( R' Q2 n2 sand so on......................

hello1997

分3組4隻波子秤
2 A  Q5 N' Q  N
& P4 O( t" E) Z# QGroup A: 1,2,3,4( x2 ]$ W. b& K/ ]
Group B: 5,6,7,8
& l7 e7 P) R% X& WGroup C: 9,10,11,12
( Q% U' H3 I2 @/ pGroup D: 13
* q  F+ @9 h' _8 p. }
1 B0 R' V  Q# e1 `. zRound 1
3 }1 W8 G) @+ r! s% n( V8 x/ yGroup A vs Group B5 L% |/ D" g0 T! i  B, v* b  i
如A and B一樣, 即較輕一粒在Group C or D; I" q6 r4 S1 x( y
2 g+ }  a+ d+ h& h
Round 2
2 H" B0 I* Y) ]( i再在Group C拆成:: Q) j2 m! |' N1 H( S; c' H
Group Ca: 9,103 T# \$ n$ l5 J
Group Cb: 11,12
* ~& q, m$ E3 {然後再秤, 如一樣, 即13為較輕一粒.
, q3 L0 o% \. G' T6 r( ]6 j0 ^% r8 H* `6 F2 |1 W0 d$ ~. G& z
如不同, 即較輕一組有一粒較輕波子在其中,
' E" Z& t. c! T" D0 g7 D& n' f要再秤, Round 3, 之後便知答案./ d+ v, \9 N1 ?
4 R! }: ^, d: _/ c
e.g. #1 假設10為較輕的一粒0 K# r9 P0 T; k' @$ \: k# B
Round 1
  W6 a  S! p5 j/ w1,2,3,4 vs 5,6,7,8 = equal. }6 o- y* B; B0 Y* u
6 V! Z3 A( K# i) ^6 L
Round 27 d7 M1 `; R4 X4 O
9,10 vs 11,12 = 9,10 < 11,128 i9 W* k4 L+ R, ^5 i
2 X0 \7 T3 u$ Z, R
Round 3
1 G+ E3 z" e$ e- ^9 vs 10 = 9 > 10. G2 R; T- i; _

6 p' Y% ?! A: M" c6 N0 [; FThe answer is 10.
" \4 L% Q9 D0 Q* G4 a& K' M% J
% S  b6 ^1 L% T1 i- P4 z4 U5 Pe.g. #2 假設7為較輕的一粒# ]4 s. i- V# m  Q0 R. X
Round 1
5 M3 d! o) q$ P/ N. a# t1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,8/ Z4 e$ }* n- p; j) }. Y! B
+ d6 m/ E* \9 L/ v, d, q
Round 2
3 s# C6 U8 @5 B5,6 vs 7,8 = 5,6 > 7,8
0 p% t: ^2 d" S# Y, u: h8 G
+ g' n3 l6 f5 `' ^; L6 A& NRound 39 \9 m  X# j+ z! x% m
7 vs 8 = 7 < 8/ J7 |" m: S/ p; X; ^; C( W% }5 f

4 ~# F4 d. f5 B1 N, L' XThe answer is 7.
' G8 m7 i, u; a9 C/ n2 F
3 a0 m" _' ~1 j) e* C' {# ~6 be.g. #3 假設13為較輕的一粒
' [; y- D. E8 V  q+ nRound 1
5 ]2 {( Y: C- Q' R1 W! W1,2,3,4 vs 5,6,7,8 = equal
- m* E+ B- Q; X( ^( |6 z5 ]
$ h% Q$ c# c; q; [Round 2
4 K( q4 R/ x- m5 N. F9,10 vs 11,12 = equal( @* k# z/ w" ^
- m% M* V9 _! o) o: K
No Round 3. S( ~% P' R0 V& j

6 e: u6 v  M9 ?1 F) X; _7 F! RThe answer is 13./ t. H  W, Y& F

+ e' a& i% M- H2 S9 ]唔知我答得正唔正確呢?! 5 t! k  I" F% Z  I) p% ^. U
( q. X6 P* b( D6 W! B0 u
[ Last edited by hello1997 on 2007-3-2 at 12:39 AM ]

playbr2

Originally posted by Azuma at 2007-3-2 12:25 AM:
  Q2 a# C  x" u* A0 X1.6 y1 D6 L' V2 E. u. a+ O8 K' L! x/ F
1-6 vs 7-12
% w% M- K' h8 u/ |8 D6 h/ gif 1-6 = 7-12     13 is fake+ v1 ]# d0 U, V% r+ N" i
6 I9 S6 A: s5 |1 i
if not 3 t/ I2 m" J) z" o$ q6 p( j

. x8 e( m1 r2 W  s3 d$ E5 PWeight the 2 time ! h' ]0 y  V' A: P$ F2 C/ [
1 f- ^' c. i/ i; n
Suppose 1-6> 7-12' F- h  G. f! O. q% P

4 B5 z/ F5 P, E- J) v1-3 vs 4-6 % ~) ^2 g4 b% n" O9 H8 t

# r4 w" q) j/ R" y6 _" V; Z' tThen Weight the Third
/ }/ c9 W$ ~" |* A# ~6 ?3.
/ y( \, W  o, d; d. O( L
0 \+ S; u2 V8 f$ ?0 n3 `3 TSuppose 4-6 > 1-3
+ ?& p, }  ^0 J( b3 Y* U7 m6 U  [. P; H" n
Just like the first Step
- q9 K) O* S8 [- \
+ n7 f6 \9 M6 W) b* q* i4 vs 5
9 B+ o0 s8 {  q: d5 N% G2 S$ }! a7 f# r0 F
if 4=5 6 is the fake one
! X2 {- g- I7 d& H5 N& i6 R/ b9 L! `4 G2 D2 {1 h1 Y
if 4>5  4 is the fake one
# a8 A& i; M8 M- z( k9 N( ^and so on......................

' z8 T0 n; @7 Z! o6 K- M
6 R* m  M' ]' s* @8 ~- U6 R- R4 J% o, G, R  r7 \
問題第二步
0 ]7 U5 h+ P* |' }  Z5 j' |' |) p0 X- p
Weight 1:  1-6> 7-12
! H8 v/ C2 z8 D- i- [
3 W6 X6 F% m  g3 c7 B8 dWeight 2:  1-3 vs 4-6 , if 1-3 = 4-6+ v& y- B0 d) |" u" @: C

; W. p9 F& p; L你第三步点去搵 7-12 边一粒???
" |- L( |4 F  J: b1 [; L$ L. n7 ?+ v  h2 }( E* r; `
========================================7 ?* K  ?8 h. ^# J  d' V
% I3 q7 C2 ]. k+ J8 H
問題第三步
$ n# u1 C" f, j7 p6 q6 ~* n$ C% q
Weight 1:  1-6> 7-12
7 `: G! V; h& W' S1 o& ~, b2 O
6 v6 |: ?7 ]2 G' c  |& RWeight 2:  4-6 > 1-3
# k% O% ]5 Y# l" x/ R
; g! s- ^" s% b% s& ^6 S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