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2 _) Z) A  G& u

7 z- c& q! y, J7 a8 ?『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)。
9 R) N( R9 f8 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？』
1 I9 P5 m8 k% }; `3 L3 b: P0 ?. R1 ]; c2 l. A
注意: * f4 _7 i/ b) W) b9 Q8 u
' M6 R1 l( b1 _2 _0 N9 \& ]& {
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4 Z) w0 D" f( T+ Q$ n

# ^0 G7 a3 O- v' x3 @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
  m" {- Z0 W9 U. W1 i/ T7 a- c" `
/ ~8 g( |. O/ }. c[ Last edited by playbr2 on 2007-3-1 at 11:54 PM ]

guswan

Originally posted by playbr2 at 2007-3-1 21:34:4 `" e$ Y' B0 |$ s: |
相信e條題目都有吾少人玩...

$ a& c0 ?3 F( L6 ^7 }我以前畫左個chart去答,6 a1 p; D5 M5 ]- k. q
等我搵下仲在吾在8 O4 Y% B: B, n# L% ~$ Z
: e5 r: b; s) E9 B+ E
當日用左37分鐘答１２粒波子，差７分鐘才合格。! t) Q4 @9 f3 A0 w: ]
13.........
" _$ d6 O4 {5 g$ {0 u! a1 c2 S$ k% X. H% X0 p5 u- c8 F8 o) ]  r
[ Last edited by guswan on 2007-3-1 at 09:44 PM ]

playbr2

Originally posted by guswan at 2007-3-1 09:38 PM:
7 j7 p. A) y" k2 b2 L2 o. R2 f& J  o/ q/ @' X: ]
我以前畫左個chart去答,  \: G7 H- P8 s3 e( X$ u. B
等我搵下...

, e5 B0 \+ h6 Q- K. V, P8 [; j; w# p

# h$ v' a5 y- s; j7 a3 `# x( Y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:
" P5 b% |& o1 S6 `唔識隱藏...已經諗到..

% R9 c% T$ [- l: l* \6 e* i3 a+ H
3 f2 P# g( R2 m6 M3 O
sor !!!....e加改左" P6 c7 L1 ]1 d9 J. W( m
' t) \% s' d$ h& f  D+ W  U
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
! E+ L& a1 o6 O. }5 n& \2 X) j8 U: g4 G9 \6 w8 @+ q' L
[ Last edited by playbr2 on 2007-3-1 at 11:55 PM ]

Triangel

Originally posted by playbr2 at 2007-3-1 09:34 PM:
% o8 [4 a: v0 E相信e條題目都有吾少人玩...

5 l! ?9 S0 ^+ \1 S% ]7 W

- w$ k# t+ i3 }" NPlayPlay, Let me know later who has the right answer and I will add points accordingly.
# J; }, n( h5 u: G+ l% L; O; X
" i% ?4 h3 f; m5 K" f8 ?; VThanks

playbr2

Originally posted by Triangel at 2007-3-1 11:57 PM:5 X5 r: T- t, b% r1 h& i* @

8 s3 Z5 j6 N. {  [" H9 }) c8 }8 I: J, N4 i, h
PlayPlay, Let me know later who has the right answer and I will add points accordingly.
6 q; S$ ]- P5 J  G; K: s4 {/ c4 `8 h5 w/ H7 F
Thanks

" z( u) _- X. H. \* e* C
) B; h+ N" }4 i
不如你都玩吓喇....叫d叔叔加分咪得囉........如果岩既話

Azuma

1.
/ |4 q6 x+ e( m7 S9 k( w1-6 vs 7-12' a$ j- h6 @! d9 o' T* k
if 1-6 = 7-12     13 is fake. |/ x) C1 Q4 S. ~, X
5 Z, J3 p5 m$ T/ ~8 P
if not
/ @3 Y$ M3 t2 E! }- J0 [! z0 k" E4 x" T, k1 n. g
Weight the 2 time
- {5 B0 a' d) G  p' ^9 v* T) A - r9 _. t! V  ^+ B$ x8 Q1 c
Suppose 1-6> 7-12
( F6 t9 }9 z! @6 G7 H9 H$ _2 z( p4 u3 f5 O& Z
1-3 vs 4-6 ) M% i! l: [: D
% p& ^. C& O( W% t
Then Weight the Third
% |3 @& F( o" x+ F- V. }& ?# B3.7 D" k) B8 h+ X& p! E1 U. r4 d2 T% a) G
; f7 Z0 Z* x0 |
Suppose 4-6 > 1-3
' X% Z& C/ c2 [' R' Z- R3 p
: X' k) |3 x; F$ b  @% b6 e( UJust like the first Step
) i8 w; q2 m1 h/ U; y; J
. W* |5 [6 m2 G4 vs 5 1 V6 l/ Q& i2 ?

9 S; r, ~7 v0 i1 k! bif 4=5 6 is the fake one
  E  a: o' G: k0 M
5 x) P, Y' T8 Y% \, G  Zif 4>5  4 is the fake one 2 r6 m  ?* x9 C' I5 z/ ~

1 C. F9 |- E* m9 N, p( n# ?" w/ |! aand so on......................

hello1997

分3組4隻波子秤: n3 W" l3 b& |7 A
# t: C8 G! t* |9 k
Group A: 1,2,3,4, x# p- G8 b  c9 |: K9 q, @( q3 M
Group B: 5,6,7,8
5 c3 s. k$ Y6 |8 _, ~& {Group C: 9,10,11,12
, G' E% ~! c  Z4 G* h; VGroup D: 13
8 `( I8 ^% Y* W0 K
1 e( r2 I3 X2 b" u- \) [, Z+ ?3 _/ S: YRound 1
) I: F4 K  [+ @& [Group A vs Group B( ^" z: x1 i# Q
如A and B一樣, 即較輕一粒在Group C or D
5 Y/ w, Y" S- @( p5 N
+ T8 g0 i! ?7 |- ~1 O3 o, ]* iRound 2
7 B' B7 ^9 F" _, B% N2 |6 s% g' _! s再在Group C拆成:
6 K2 ^9 A' u' ?8 k5 kGroup Ca: 9,10+ A5 v" i6 Q# F+ C, E# b' E
Group Cb: 11,12
' f! F/ P" c6 n6 k然後再秤, 如一樣, 即13為較輕一粒.
3 Q% u4 u# @: k% _0 x5 _" j; D: K- A" }2 y( X7 U+ I; W
如不同, 即較輕一組有一粒較輕波子在其中, ; Z- s" g" {, l; s. E1 P
要再秤, Round 3, 之後便知答案.
1 G7 u6 ?( F  t% z6 k$ R
3 i% w! k, U/ y# M# o& [e.g. #1 假設10為較輕的一粒
: P2 d2 y2 q2 i& J; o, ]& uRound 1
( `) {$ }- i( s& u$ A- h$ t/ T1,2,3,4 vs 5,6,7,8 = equal& C  f  X6 Z% w7 T8 {& W' ?
! ]# v) [8 H5 p& ?$ S
Round 2. e9 X2 I/ m% \8 s2 O$ Y
9,10 vs 11,12 = 9,10 < 11,12
6 X1 n: v  b5 @: M5 A4 u% Y! r$ E6 M1 T
Round 3  O1 g$ [& b% w4 h
9 vs 10 = 9 > 10
3 `- t" c8 R0 C  T5 y3 t' [" K4 C0 a/ C9 i7 u+ ]  ~9 i2 R$ Q! ?& S
The answer is 10.3 y* ]4 @8 y" k9 ?5 ^

# O' E5 O" M+ E* M; {e.g. #2 假設7為較輕的一粒; e6 y" X1 a* }5 k
Round 1
2 [! D( q% v  l1 }- B8 k1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,8# R3 a- h% m; g! j% T
6 n. c& I/ S+ L
Round 2
* e) Y( y3 O8 E. h5 y$ L5,6 vs 7,8 = 5,6 > 7,8
$ J4 z: x2 m" ]4 G( ?; j9 j- Z3 M  N4 m$ }4 U! d* V0 V. ~  Y7 X
Round 3
2 F  a1 I+ o8 j( _1 V) {5 {, T7 vs 8 = 7 < 8( U. O' |6 n7 u2 e8 b- b1 Q
: Z; `2 ~4 h' W5 N
The answer is 7.+ Q9 b" I5 F% [  {& u. }- L! |

. D0 i4 c6 H# |: r( q. ae.g. #3 假設13為較輕的一粒
# m. o" u! g" d4 h2 n' R& ~  {2 IRound 1' t7 O! D5 K5 i( Y4 @
1,2,3,4 vs 5,6,7,8 = equal
2 p; b" U* ~+ P5 P" k# \' C( N4 x, p9 w0 L
Round 23 E2 ^. ?, l' h
9,10 vs 11,12 = equal1 G8 t4 ^$ ?. |( j9 r1 i! m

4 i9 |" ]. f& i9 _9 h# S0 O6 {No Round 3$ D  u, Y5 c; }  d0 l% O
" V- a. u1 G) m0 R) W8 ?% W5 S
The answer is 13.6 T( B8 E, X8 e4 ^' S
8 S" T; W) [3 p3 t9 x
唔知我答得正唔正確呢?!
. r2 P+ W8 P1 F' Y  ~) [' Q. x6 D" h" Z
[ Last edited by hello1997 on 2007-3-2 at 12:39 AM ]

playbr2

Originally posted by Azuma at 2007-3-2 12:25 AM:
8 ^2 H7 ~, X* ]# D- @$ B4 y! g& @- {1.
6 `! j1 |: ^! a* }: E$ H1-6 vs 7-12# J: e/ X+ A' d  T' J3 ]
if 1-6 = 7-12     13 is fake
3 }+ i1 ]  F+ b; t, x2 }$ v% t+ Z7 d* B1 k' x* v2 X8 }& v  y
if not
$ x. z8 A  J; }
* s" j  S6 ^' d( j' Z$ G" kWeight the 2 time % s: b. W& U( B: f- M$ G
+ Q3 v4 U1 |( k( z+ Q; v
Suppose 1-6> 7-12
4 p: ^: d8 W% L. U" ]2 P! t+ Z0 B# G( _# W% S" Q# _
1-3 vs 4-6
. o9 ]! n- z7 x" B
4 U# A& X, u* o- m3 x( ~" WThen Weight the Third2 {7 M6 d) F# x, [1 x4 T& D
3.: t) q: ~; w: ^! D
. f/ Q2 h- }  \4 b4 M
Suppose 4-6 > 1-3, M0 [& ]0 e- J! M1 N# H' H7 W
! O! ?3 Z" v1 n0 f+ J- t
Just like the first Step# K3 B6 u/ p  [0 W5 n) s1 l5 Q# F

$ g1 R6 \: I- N3 \/ d4 vs 5
' |6 A8 E) Q, S3 G
- P" o% |& b, C! _if 4=5 6 is the fake one
, U9 U* W8 H+ n, @, ]2 D0 M0 Q) y2 ~. o" y1 t& I
if 4>5  4 is the fake one + i" y) X2 _* P% b, m- e
and so on......................

1 m$ X- X7 M9 g. z4 w+ U
8 ?0 u1 U  j9 d( h; z" u* V" p" P
; ^) o- a: ^" h; W! X+ c1 f
問題第二步
, `6 c  r4 r7 |' `* w% _; h# J$ ]9 p+ ]
Weight 1:  1-6> 7-12
& e# h0 e; {, o2 |( Z% p/ Y, w4 [$ j% v0 F! e9 E9 m' p
Weight 2:  1-3 vs 4-6 , if 1-3 = 4-6
# q2 K  \% J' u; Y1 O
* s% [, U1 r! n6 h# w/ l$ Z你第三步点去搵 7-12 边一粒???
3 U; H( i' @5 {5 [0 N) b& R) I6 f/ C0 k3 s
========================================
7 G9 w; O% p- ?6 j
9 q/ t( O! N& j- q1 d3 L" T問題第三步% X0 D5 q$ z* J
' P3 S$ V1 D$ |# h0 k9 o; P: K) a* f
Weight 1:  1-6> 7-12
  Y) W3 H, S$ B& `$ L! N6 N, y' [5 ?4 P
Weight 2:  4-6 > 1-3
$ t1 J" G1 ^* D5 d7 u2 \7 _/ Z& d% v# f
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