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9 i5 F3 l* e( i
" C$ @+ }7 P& R$ I5 ~0 s# S
『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)。; X  L5 K8 `# e4 ~
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？』
' `& k& j  E- E/ Y1 ]% D
1 `3 B9 b4 z8 c4 Y# O注意:
: r& @4 M- `, ]  S7 l1 ?; V5 V. ^. x+ @9 w& F
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
' y% o: y- B; \1 K. {" \7 f( Q+ @1 Q4 g
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9 y) t0 F/ {( q

8 z3 W8 I; Z+ N4 j+ {[ Last edited by playbr2 on 2007-3-1 at 11:54 PM ]

guswan

Originally posted by playbr2 at 2007-3-1 21:34:5 ?2 t; \$ k) M6 J! h1 q+ \
相信e條題目都有吾少人玩...

. k) J/ R7 `  n6 T' N- J我以前畫左個chart去答,* J+ c# k2 J: E/ ?
等我搵下仲在吾在& G+ Y+ |" c: }; e
" C  ?3 x& J; C2 s' R2 n
當日用左37分鐘答１２粒波子，差７分鐘才合格。
- ?. M9 ^# \7 B0 j  {- @8 l- d13.........
4 x8 H8 c4 \1 A* H& Z" F1 X4 S$ D) O/ a( _2 ^' Z* m# P
[ Last edited by guswan on 2007-3-1 at 09:44 PM ]

playbr2

Originally posted by guswan at 2007-3-1 09:38 PM:
0 \3 a. G4 R5 Q5 S4 A9 R2 H& P
% f7 {1 A' Y: y* D! R+ T- W我以前畫左個chart去答,
' O; r5 _. d+ z' I9 X等我搵下...

- Q$ W9 b2 }: Y( R/ H8 ]9 n( G- S9 h: C) M8 c4 z! P! Z/ O
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:2 O9 J% O& v) ~0 q1 {7 [& v( P
唔識隱藏...已經諗到..

1 G" {7 `) p0 P1 q0 o1 Q& s5 j+ W# J; t- u% H( o
sor !!!....e加改左
  U7 l/ }$ D% G6 D" ~. q# j  v+ \/ O( I# p) j0 k1 a
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
* v3 Q0 }2 z1 Q5 y; E! C3 g: }8 u  C  ^# B: Z6 `# D/ M
[ Last edited by playbr2 on 2007-3-1 at 11:55 PM ]

Triangel

Originally posted by playbr2 at 2007-3-1 09:34 PM:, |4 n2 K. {# {) O
相信e條題目都有吾少人玩...

; L! ]" X1 G( N7 @* Q; z) _" F0 E1 z, [) |% {! R
PlayPlay, Let me know later who has the right answer and I will add points accordingly.  o+ k- D8 O, @

& W9 d: U1 |- y$ v% yThanks

playbr2

Originally posted by Triangel at 2007-3-1 11:57 PM:
9 w. y/ i5 O: y' j: q( O2 h9 Y& h' M) F% y' s

& f6 y3 j9 H. o1 _% `PlayPlay, Let me know later who has the right answer and I will add points accordingly.
$ J2 ~2 e' O7 X# n
5 s; O7 v7 l0 @& r5 {" L5 gThanks

3 V8 s3 p- A! q. i4 [: b) ]
% D& W3 ^9 e" q' A1 x; n
不如你都玩吓喇....叫d叔叔加分咪得囉........如果岩既話

Azuma

1.
6 z& u; p9 a% E1-6 vs 7-121 u; H9 R! V7 A5 \& D/ V
if 1-6 = 7-12     13 is fake: B  z- k) R, o" ^: M: j1 h

2 v- u1 p. f" `9 I6 F7 k$ q7 nif not 9 _  f) X$ ?! A2 P0 d" N

$ O. ]" P' J- {5 [( I2 cWeight the 2 time 7 Q$ q5 V4 c5 r% ^
. p5 v' `$ C- d  S6 M# H
Suppose 1-6> 7-129 d: h: I7 U& e' ]

5 a! p3 f$ C8 V7 b5 e1-3 vs 4-6 7 ^( R. t2 N6 |; |, s0 v4 |* r

1 s- F8 B" h0 M! \Then Weight the Third+ _: u  t6 n! e' V$ s3 L" o; Q3 x
3.
) O3 x9 W" X  v' J/ s
+ [" C& k2 q7 \: s7 w8 m/ n" e% ~Suppose 4-6 > 1-3
- i$ d/ f+ {# c2 t
: y0 z+ W$ X3 D0 Y6 y( _6 L+ cJust like the first Step
/ S! R; {2 K1 w, B- k. i
" o9 I9 n. ]7 d1 `1 j4 vs 5 ( G& |6 p: D6 B! m! u/ H* m
  r0 m6 m1 @0 h
if 4=5 6 is the fake one 1 I$ k5 Y/ Y! q/ v: Q! X; B

7 j: y. E4 Y1 X' P- Oif 4>5  4 is the fake one ' A& [: v6 S# y' F: w- \' N
* u) b: V* R$ T
and so on......................

hello1997

分3組4隻波子秤" a8 h1 \  W5 g- J" p% V$ @+ q! t

: b* p1 g6 q  dGroup A: 1,2,3,4
8 T4 _( N% p) p/ zGroup B: 5,6,7,8
1 N1 ]' z$ c8 Y. p8 P2 \7 A/ QGroup C: 9,10,11,12: l0 l5 ?: Q8 ~$ t' R" |2 |, L
Group D: 13
* ^; H" k$ {/ Z  F2 i% {
4 Z/ s- B/ ]9 Z+ Q5 dRound 1
$ k' V5 E  `9 H& r9 nGroup A vs Group B
8 t8 p4 M2 {  t; x- X5 Y如A and B一樣, 即較輕一粒在Group C or D
4 Z6 b' X( i8 v1 C+ d* D9 z; j4 B  ?) p5 v  w
Round 2, J( y2 z* R2 W
再在Group C拆成:7 ?& k/ C6 k6 \2 v! |- N
Group Ca: 9,10
& M% l; i$ k6 g' m: ~0 U4 f# eGroup Cb: 11,12, y* l- ^/ n; [, E6 u3 g" D
然後再秤, 如一樣, 即13為較輕一粒.
) b, R; F% Y' ?7 s5 w- L! O3 e! B3 w) H$ T' G5 u
如不同, 即較輕一組有一粒較輕波子在其中,
2 A7 U4 X) x; i* k% O+ f  k/ ~要再秤, Round 3, 之後便知答案.0 q8 k) i$ t, |7 ^" X: `6 j+ k

& a1 w$ v6 k4 h& I8 Oe.g. #1 假設10為較輕的一粒$ I$ d+ a; n, Z3 q3 U
Round 1: c; e: O+ F! T3 ^
1,2,3,4 vs 5,6,7,8 = equal: f  M* R  q1 ^6 B; c) o; i4 i3 Z
! [. M( O' R" S6 G
Round 28 V9 U/ P$ J$ u3 y# {/ z
9,10 vs 11,12 = 9,10 < 11,12$ k9 A1 a' n! m6 S) b
( _5 G3 }9 i5 j. X! V
Round 3
9 e& Q% X% p7 C. P( I  r3 j7 h8 r9 vs 10 = 9 > 10& W1 v/ f% ^( x) m% p) R
4 @# j" \* \8 A$ U4 ?2 p6 R
The answer is 10.
5 O7 L# G7 H; b7 R0 c
( L- B( s; L* me.g. #2 假設7為較輕的一粒
& t8 k# V% R6 {8 S$ }" Y" wRound 1
8 C' |4 r0 g8 {2 k: q4 m) W: [1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,8
! ?5 t! X5 l2 J: p
* ]3 W3 V) I. k+ ?/ IRound 2
& K5 [* v4 i) a! y$ Z) L0 G5,6 vs 7,8 = 5,6 > 7,8
3 ^1 N# |; x) S4 r* C0 ?
8 D" K$ z! J* w. c4 N+ wRound 34 R* o( c$ c! k  X2 c" z6 Z
7 vs 8 = 7 < 8# y6 H+ V: X+ M1 L) m
: `0 N& u1 c7 G# I, H# u. J0 B
The answer is 7.- D5 ]5 l/ C! M2 j

5 j; M5 f( {* d* d; Z7 Be.g. #3 假設13為較輕的一粒2 q0 W; Z4 k: E9 r
Round 1
! z# [8 C; @' ^; h& v5 u" v* _" \1,2,3,4 vs 5,6,7,8 = equal6 ?4 I# Q1 f. _

4 y& u$ m* u- b8 r! ~/ Z4 MRound 25 F# e- O- ~" f: {
9,10 vs 11,12 = equal
4 c0 R7 O9 ?1 H7 [
) `9 M* e; m: O; b  B/ D% pNo Round 3# _: b9 @9 D2 e5 w; \6 |

" `1 }4 `" \3 }) X  b3 AThe answer is 13.
4 P4 p, u; S2 H' D1 [+ ~" \
0 N* a7 Z" S+ @( `& `9 @- L1 K唔知我答得正唔正確呢?! / o* G  k/ Q) v  R

: @$ W8 s8 j. E. ?[ Last edited by hello1997 on 2007-3-2 at 12:39 AM ]

playbr2

Originally posted by Azuma at 2007-3-2 12:25 AM:
6 D& B) ]" ]2 ?, n1.- ^* E. p2 b* P& W
1-6 vs 7-12$ u6 C6 X9 [2 m
if 1-6 = 7-12     13 is fake
( X" l* W) @$ r! E4 s- n# `6 R& G/ T+ X6 r$ X. B' a) m
if not
9 }5 p; |, a6 r; I' h# f8 n2 r$ K- H/ t! F9 j/ B
Weight the 2 time
5 E9 {' ~( K6 a9 w( s" o1 s6 F) X4 [2 m6 @3 m0 D
Suppose 1-6> 7-12! ~0 Z4 g& Z) m: p. I

9 ]& X9 W7 x4 j8 B! o. _1-3 vs 4-6
: `' U5 J; I! k: ]1 I* s! q. V8 z8 P
1 q  ?7 g* s4 q# e, w  FThen Weight the Third
$ S  h5 j5 m* r; s4 p3.& i" W# `- X: ?% \& Z" y0 S) `! Z
2 {5 P) ~* v, W3 @) A- M8 V
Suppose 4-6 > 1-32 e7 v% x2 w+ v/ S8 c4 x
2 E, E; ~; ]1 F- n9 g' Y) Y' r8 \) g
Just like the first Step7 h& l; k! R, M; ]3 X
# J7 K% [5 L, ~
4 vs 5
5 X4 @% {- Z7 L0 k2 e9 O. S8 @0 s
if 4=5 6 is the fake one
3 }( _+ G, a$ x& }! t- M' S; d8 m: x1 B5 u  e- m# h" X
if 4>5  4 is the fake one 2 v, \2 H+ r9 ], [# g
and so on......................

8 j2 e7 j8 Q! X! S

! G, g# |9 d, c& \, H( r$ o$ O3 {# G# ^+ f9 v4 \
問題第二步
6 z3 j9 `+ j' T4 F
& @' L; j9 c$ Q1 QWeight 1:  1-6> 7-12
: F7 g+ L8 r# @8 T* d8 {  u( t) }$ s$ u+ g$ f  w
Weight 2:  1-3 vs 4-6 , if 1-3 = 4-6+ F0 T" w7 s* H" z0 x4 @" G6 q" G( Q

7 J) \7 N: o1 m: V& V5 ]' U你第三步点去搵 7-12 边一粒???0 d, f3 f9 D1 _* e7 @) h

& `- v) @* A, `2 K  }& \/ c========================================, {! o1 g2 c/ G! V

. e( r- p4 @' c. H( j( l* U# ]問題第三步7 }& k6 |, g$ m. M! G5 `4 J
5 r9 @6 ]! x2 P* b* r$ P7 ?: p4 Y
Weight 1:  1-6> 7-12( N0 A8 i8 l1 x  R3 P
& G* p4 @4 `: B/ o" S$ h
Weight 2:  4-6 > 1-3
; n3 ], _" ~: x( d9 u
# r7 e' u/ `2 M8 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