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* Q  f- f* H/ F. P' k- x: D* n. `7 A4 F2 j3 b( i8 X
『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)。
/ ~" x1 r) @& W9 {' 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？』
5 }, q1 h5 p# O
3 Y6 m9 y% _% g7 B- Y: ]; a" w注意:
9 B+ s9 b9 {6 \, p/ N( L, C
2 U1 K+ x8 B& W% A6 N0 \# t1. 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- d/ R$ \7 G( }5 {8 v  q

# X$ Z' [3 O4 B/ R2. 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
% G4 O' s4 b6 z& f- A# y! D
/ T$ b* s3 q( p( ?- F6 o% s[ Last edited by playbr2 on 2007-3-1 at 11:54 PM ]

guswan

Originally posted by playbr2 at 2007-3-1 21:34:
9 x1 m+ J/ c( b+ i相信e條題目都有吾少人玩...

2 R7 _: E% @. v6 f: i0 T
我以前畫左個chart去答,
" v6 J1 N4 ^1 ^+ t等我搵下仲在吾在) I- w- |  P$ E9 V

& Q3 y: X6 V, M8 w4 I6 j當日用左37分鐘答１２粒波子，差７分鐘才合格。2 c7 L: \, ^. k9 a* f  O* X
13.........7 v& n$ o8 O9 _* o$ o, L* T

& _& A" {, `- q  H. R7 O[ 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 n# T! U% W5 s0 g+ E8 M" `  t3 t6 h0 U" T
我以前畫左個chart去答,
- u8 U0 P" ^% s- m# z% R* |4 p等我搵下...

6 B7 s( h4 }8 g" x

0 }5 h! f- x/ Q# U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:( C! ~" K' g& v  ]
唔識隱藏...已經諗到..

- h. J: }# W8 v! D1 d2 T* `
! s: R) V% t, t5 X
sor !!!....e加改左. g3 R% W  k) |# ~, ~4 @
' j: r" r3 Y1 X+ w2 C) J
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
6 K/ h8 w% j' i* Y8 ~5 T
: \2 ~' Y7 R6 P1 G( h/ E3 Z[ Last edited by playbr2 on 2007-3-1 at 11:55 PM ]

Triangel

Originally posted by playbr2 at 2007-3-1 09:34 PM:* d( L0 }( h% o8 T4 D
相信e條題目都有吾少人玩...

+ R* ^7 y- ~% G1 D( H( D/ y; w: m! K0 Y+ p5 k
PlayPlay, Let me know later who has the right answer and I will add points accordingly.
' Q7 ^9 t% G) E1 h' e* \: s7 h( d
- e; J0 L, ^  O: D9 e: U0 LThanks

playbr2

Originally posted by Triangel at 2007-3-1 11:57 PM:4 g9 q8 G* M- J. I

1 `2 [- z- Y) N" m: V" F* q( }
( ^9 W7 N) q3 d0 d. Y5 l( TPlayPlay, Let me know later who has the right answer and I will add points accordingly.
. y( p: Y8 ~  L( ^& A( u
+ |7 Z9 C& G0 u  K, g0 _5 kThanks

5 ~( R! |2 p0 D4 k. n  g2 k
  D/ z# E& X9 r5 \; w$ n1 Z) n/ i# J不如你都玩吓喇....叫d叔叔加分咪得囉........如果岩既話

Azuma

1.
* L, {  `$ a6 M, S1-6 vs 7-12
: g0 a  ?+ y& f$ k. W/ Zif 1-6 = 7-12     13 is fake0 S/ h0 L/ s; ]

7 S: q) F6 ^0 ]6 M% B1 X7 ~if not
  t3 j* u0 R" b4 o. [6 E0 v. _- A) |1 O% m4 w% @
Weight the 2 time
* f7 s, P8 x% {, L0 a
: F% k* D$ _1 v  RSuppose 1-6> 7-12( ^! L7 m$ H8 z$ M( j
0 S" D& o5 J5 M
1-3 vs 4-6 2 |5 h- y! Z+ n* k

3 D, ]# ?. ~+ z! Z' ]: \0 H" u/ RThen Weight the Third
1 W  z+ Z2 q/ `: i$ \2 r8 L; X, ^3.
, ]2 _" B) _8 f2 y/ O, ^. [) W1 q* V9 R
Suppose 4-6 > 1-3
$ o" |, P+ }$ i* y* }) i2 U; s: ^2 k, K
Just like the first Step' o2 t8 d0 G9 Q7 o9 r) n" b2 U5 g

: e: ~) y  g4 t4 vs 5
$ y3 w. k; T7 m/ h( C' R7 `. j0 U. `- M7 O. w( h5 g' N' A" C
if 4=5 6 is the fake one
2 `& ^: m- F% X  Y
3 n+ R7 t- _9 j5 S; S% Fif 4>5  4 is the fake one 3 P7 y6 W8 Z$ N% r. U$ Y4 J' a
9 q2 L+ N2 m5 k" N
and so on......................

hello1997

分3組4隻波子秤
6 A7 c0 }3 P. k7 ?3 ~6 p
  o  n5 e$ e) t6 v) qGroup A: 1,2,3,4
1 i& H+ K" o2 A4 YGroup B: 5,6,7,8$ T3 M4 e" }" @6 C6 i
Group C: 9,10,11,12- v; }; [/ L" i& h2 s. S2 L& u
Group D: 136 q4 L& L% }6 |& `1 c* H- A5 O

- n7 w4 f9 b7 W) Z; }, j, gRound 1
: o2 L$ N/ M0 @: ^' LGroup A vs Group B6 N% {" |0 m, p$ \" j& m4 p
如A and B一樣, 即較輕一粒在Group C or D- y- p6 C8 u0 P: u% m2 Q

: s- H( X  w: {( b3 t, K. ORound 2
- {- t8 C, N0 Q9 F" w0 q" T再在Group C拆成:
6 [9 G9 F, s. D  a# I! {Group Ca: 9,10
$ P3 d& ?/ C2 F: O- NGroup Cb: 11,12$ G& N- f% o1 H1 y4 ?5 `5 F
然後再秤, 如一樣, 即13為較輕一粒.( [1 f/ @7 z3 w. Q
' G% I% }: d6 N$ G6 S) ?. \8 t
如不同, 即較輕一組有一粒較輕波子在其中,
, x: ]3 ~3 l( z& b7 h要再秤, Round 3, 之後便知答案.
" k/ b* }9 \  Q- O0 g% h  D, O7 L2 t) w. v
e.g. #1 假設10為較輕的一粒1 S$ T* x: ?! q. h
Round 1
4 Z- m, s! z' @' j# b; N' C9 O1,2,3,4 vs 5,6,7,8 = equal
+ h- b& y! k$ U: s  i$ x: {0 D/ c4 W- i3 l2 Z; h
Round 2
2 x8 j& c4 @% c  U0 R; }! b9,10 vs 11,12 = 9,10 < 11,12( H$ P# ~# x9 C8 W
! l: ]2 a- I3 u& B
Round 3
' P4 E: N7 f2 v3 p9 vs 10 = 9 > 10
5 a0 |  o" Q& w0 @; d8 O: Y+ m
) }# |3 d. H6 X$ t) C- c( EThe answer is 10.
+ C! h* D# J7 O9 f
/ k& @) Q$ u) B: |5 }e.g. #2 假設7為較輕的一粒
' B1 f  j2 ~8 x6 ]) J* GRound 1+ N4 A# a* f1 w: I
1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,8& W! y8 d7 R! d, p

& l5 l1 I3 n& |3 j! v3 mRound 2
$ j% @- d9 |5 o! h5,6 vs 7,8 = 5,6 > 7,88 t% a" P: d: X/ v: o$ y
# L8 _5 O3 P- ?- v6 L* j8 X& K
Round 3
% c8 W  O+ ~0 ~9 J7 vs 8 = 7 < 8
7 L. ~8 h0 t8 V$ A
0 l  U. _4 k: q; k: G" `The answer is 7.
; l* |$ y5 V" T( L" D) j! ?
/ B9 r3 ~  u6 b( _* m  v% Z$ Ge.g. #3 假設13為較輕的一粒
  X* e* k. f$ tRound 1
5 R$ M' R/ d; r& `1,2,3,4 vs 5,6,7,8 = equal7 A; t. j  x* O4 O& t7 ?
# J5 M' x" a. }( s: E0 @% t9 R. O
Round 24 b" A; R1 e, y
9,10 vs 11,12 = equal
, a1 |# r/ X1 N( E) p& N6 c$ q& |( v7 P% z4 K' ~9 V
No Round 3
9 W  L1 [, L, @1 j" s5 D5 s; i: ?" I5 k" H
The answer is 13.  L7 U, D, o6 {7 v2 g

5 y. u  d+ T7 A0 O1 g. j唔知我答得正唔正確呢?! % Q- E3 ?) N: w0 x9 J
6 h5 y% Y9 ]; Z( v) i2 a
[ Last edited by hello1997 on 2007-3-2 at 12:39 AM ]

playbr2

Originally posted by Azuma at 2007-3-2 12:25 AM:5 j: d! _% f& b" T/ W
1.! b2 t) F+ ]1 Y( b4 H- B$ }4 w, b
1-6 vs 7-127 U- f2 J: ^' Q2 J) w; z) w
if 1-6 = 7-12     13 is fake
( O! W$ G; H9 c& e0 b# L* q
# ?% `6 Y7 {4 x" H! |$ C7 bif not
4 j: h$ y( {3 W3 g* ~. r, E. U3 r- s9 Z5 j0 y) J
Weight the 2 time
8 i% N% A3 j+ `0 ~) w
+ m/ _9 ~0 k; |5 w( `- ?Suppose 1-6> 7-12
: e" g* c! I1 n$ _) ~: Z
8 e  ^3 m1 g7 v1 Y( h: `5 S1-3 vs 4-6 - i$ H+ O# n6 H2 P- Q
  Q& S) O1 }$ D/ z
Then Weight the Third
1 j' ?0 t* C, N3.4 l* r) u/ T. i% H; {4 h8 \
  G' T& W, r/ G! E' L! J/ t
Suppose 4-6 > 1-3  G- p! Y4 Y$ |8 a/ c( |2 G
1 s+ m$ I8 A7 \; v4 a8 I* X( m
Just like the first Step. C' z5 V- s( Y) y3 b9 n
; A- N! y. J6 o3 k  K
4 vs 5
$ c3 N# V/ O7 N, n* T5 }, e- H- V% ~2 M* S# o
if 4=5 6 is the fake one
1 q6 q8 G9 o* L: W3 e- f3 X
+ O  m9 c+ i8 _' b% N& M( mif 4>5  4 is the fake one ) X" H2 d( }  L5 P7 W4 f: G" c
and so on......................

( m, E/ s: M# o2 S7 R4 {8 \

3 X. p0 u9 V/ ^/ S$ v. g
& ?4 m0 i" Y. y; g+ G問題第二步# K, j% h) e# E  e0 f, t. ?9 k& g

# Q1 O* a/ E" T6 ~Weight 1:  1-6> 7-12( g+ @- C# }" q( m, ?/ b

, j; X* m! ^5 o: w1 pWeight 2:  1-3 vs 4-6 , if 1-3 = 4-6
$ V- F1 l3 b4 n1 \- d$ O
+ P4 G. k3 h2 Y8 d你第三步点去搵 7-12 边一粒???
. c+ f/ q. b6 O2 _2 l# O, N- Z* K7 Y6 |/ V
========================================
8 t& k7 t5 Z& Y( p: p, s. r9 G6 g3 u
問題第三步. g6 e7 ~+ H6 I! ~+ L5 a
! f/ _7 m% f1 {- u  H
Weight 1:  1-6> 7-120 u4 Z/ }. o7 O+ y" c) D: l+ _
$ A5 h2 {# U% f5 p$ G
Weight 2:  4-6 > 1-3 1 I  M+ z; t( J8 }& y  k6 c2 s

2 n+ {# Q" J* f4 `( y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