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# N4 f& r5 q2 m# K; \! z
2 W# F: f4 m/ |" O
『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)。
: u) x8 W; u5 g# m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 w8 |. m. ~. s( d# ^+ Q/ w) i
- ~! p* v4 m1 }+ i: X3 q注意:
# z$ v  `) f  A6 F" m# ]: v+ a& c4 E6 Z1 x' r$ e
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
2 M% ?! l, z3 O8 _- c5 c# C$ T" x6 W5 B4 |, f
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$ h2 t2 P5 d, h: k
" n$ h' f# E( E2 l3 u$ _% a[ Last edited by playbr2 on 2007-3-1 at 11:54 PM ]

guswan

Originally posted by playbr2 at 2007-3-1 21:34:5 c0 m0 x7 M: |; d4 [
相信e條題目都有吾少人玩...

  p4 I* R/ V  g我以前畫左個chart去答,
5 }; f, r, W6 f! L' e8 x等我搵下仲在吾在6 g3 y' t0 ~9 |. B9 C& B8 j
3 y: j! e/ k( B2 z6 F' S' A
當日用左37分鐘答１２粒波子，差７分鐘才合格。
0 g: x# |. A/ `/ k13.........
* F7 c" c; G1 S( d: c+ R+ G. @2 r. 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:* H/ S+ N! X5 {8 e5 g. F' K

2 I% P+ ^1 o& h, J- f( z' R9 ]我以前畫左個chart去答,
4 N& t( r! |, b' S等我搵下...

! j" ?( k4 w" E: B& e
8 r8 V6 n: y" e/ H
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:
$ T% E  O+ |" G( k& X* J. E唔識隱藏...已經諗到..

& q8 c. W4 L# g' c

0 d& J$ L! L/ G- f0 msor !!!....e加改左+ C: O! O3 e) K8 f& m
9 c8 H, |4 z  F6 Z% ~1 Q9 i( |
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
$ ~% C9 @) g3 X" W' `  P0 V* r6 J+ K6 e
[ Last edited by playbr2 on 2007-3-1 at 11:55 PM ]

Triangel

Originally posted by playbr2 at 2007-3-1 09:34 PM:, U) A3 L& W+ u
相信e條題目都有吾少人玩...

# a  K. I* M. s# ^5 z6 t
1 ~4 T- g7 J: r1 W
PlayPlay, Let me know later who has the right answer and I will add points accordingly.
: N  K+ f( t/ s; X+ r: P$ D7 h% k
, G: v# `0 s! a+ S5 ?Thanks

playbr2

Originally posted by Triangel at 2007-3-1 11:57 PM:6 V2 m, s6 X' T5 i3 l
  q2 U% u) x6 K: D2 g( g% L1 o

% p4 q" u  l: X; aPlayPlay, Let me know later who has the right answer and I will add points accordingly.5 ?3 i  `) w+ d' @" T. f
. ~0 \5 j/ @# _. y# o. g
Thanks

* M9 s  f) a6 o

" s4 V1 ^  T+ n8 Y' b0 Z$ d+ Y不如你都玩吓喇....叫d叔叔加分咪得囉........如果岩既話

Azuma

1.) ~/ h6 ]. Y! s. ]% C0 M" r# l
1-6 vs 7-12+ M+ g6 O* h. E" q( d. x
if 1-6 = 7-12     13 is fake
  e: _& z$ [; w1 O& ]9 H; ^
' L+ u8 Z" v  D( T$ Y$ }' a- @. |if not ! u! G4 F0 K3 }2 L* ~* J9 Q
7 E) @% v9 w! B0 l$ r
Weight the 2 time
5 O' g: o5 w% @9 i 0 T. t! [$ i% U" a  P- s( s: r8 {
Suppose 1-6> 7-12
, s) c" Q6 `# f" a! z. r0 q% L
' b& V0 H, a3 V9 E; p1-3 vs 4-6   T$ S/ _) D; p% f- Q& f& w
2 `' r9 f/ Y2 Q, ]( L! G
Then Weight the Third
* u: J- u( X& j0 ?3.
# P- j7 B5 {* ], w- M  r2 E: D% Y( i* Q- S+ ~! T
Suppose 4-6 > 1-3$ j3 I* [% X" W9 L7 R6 y
1 \! R# ?' b  J) p
Just like the first Step
8 ~/ [: T1 o8 t" Z& D& c, F. H$ _/ ^" t1 v' K
4 vs 5 : ?3 M& J) M* w
5 T( Y# D$ j, W) Y2 y! O1 E
if 4=5 6 is the fake one / E3 g1 `& u6 W8 d3 A
/ `2 B! ?5 @' [" R! Y  ^
if 4>5  4 is the fake one
' e3 Y) p, V- S% U* \7 M8 i5 q) x. M+ z; n) L0 |
and so on......................

hello1997

分3組4隻波子秤# p7 A; y3 ^% C3 X" h% a* Q
, s: m6 ?7 S1 P& K1 Y
Group A: 1,2,3,4
) A3 C  z5 r$ y. J& b3 FGroup B: 5,6,7,8
3 ^8 W  e" N& r7 p& d2 V% U0 \Group C: 9,10,11,12
7 b) Z& ~0 ~$ dGroup D: 13( X4 x! G7 |' }' z5 G2 M

! v5 q" ]. Q7 LRound 16 x5 R' n# a1 D2 {9 h6 D4 x9 }5 t
Group A vs Group B5 f- }4 e  ^1 Q  q' g
如A and B一樣, 即較輕一粒在Group C or D
. [4 ]& Y6 ]- n$ ^$ q% j: b8 R; c; T( |$ w# v
Round 26 ?' H! D$ J/ `
再在Group C拆成:) Z% O; ~+ d" o. _& I
Group Ca: 9,10; j$ M9 i" f* `# H0 H1 H
Group Cb: 11,120 B7 x$ D. u; M' g, ~
然後再秤, 如一樣, 即13為較輕一粒.
% b% y. F4 W9 i0 n% Y$ Y8 }+ a6 k& N2 ?# ]9 ~
如不同, 即較輕一組有一粒較輕波子在其中, # |' W1 _8 M: K. R1 G* q
要再秤, Round 3, 之後便知答案.# S! U# p+ j! s/ z& S2 w) ~
& c) D/ k, ?$ a; I- j+ g# e
e.g. #1 假設10為較輕的一粒
- \; N/ d4 s( yRound 1
2 v- u: R2 W" E% N9 C% O; n* f1,2,3,4 vs 5,6,7,8 = equal/ `# p1 @1 C* B, Y

2 ^. ?4 u9 t2 W3 ARound 2( _. k2 p" Y* i' q$ \& ?/ U
9,10 vs 11,12 = 9,10 < 11,125 v6 L. y$ \# C" O

  r/ G1 R$ o. {5 C3 m1 G1 oRound 3
% U* }1 h2 d$ ?. D6 p0 |9 vs 10 = 9 > 10. G$ b$ d7 G$ c3 ~& r* E
$ o2 R7 T, X# s/ P
The answer is 10.. Z- Y7 G3 Y) u5 T+ k3 f

7 H+ S4 p* X, ~" U6 |7 ve.g. #2 假設7為較輕的一粒
/ g: Z: n' @" VRound 11 c" i# s) u& E" s
1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,8& O0 q4 t" |" C4 W$ v
5 T4 [6 e  H, y9 C/ T
Round 2& W8 B0 l% z5 z9 i
5,6 vs 7,8 = 5,6 > 7,84 M! N! A9 r3 g' E) W

8 l1 s" w# c6 h# tRound 3# v& f" z1 L4 e) W" `1 ?& A4 X
7 vs 8 = 7 < 8
0 ?2 ^, T  j! _+ t# B
) W7 q; y2 s. l& D, b  c. M8 VThe answer is 7.
9 g2 H8 t, @  X' v. n1 y" y, P8 V) G: g4 J1 _, `
e.g. #3 假設13為較輕的一粒2 g7 V8 g' _# x  [( Q( \' g
Round 1
% b" R% a- j# z1,2,3,4 vs 5,6,7,8 = equal8 R" x$ J; T1 W* w8 d4 |

/ q  u4 X" K7 y& ?! S" QRound 2
+ N( Y- o0 K$ C0 ~9,10 vs 11,12 = equal! o  j3 d5 P, p$ g" {, r

0 Y& d+ O  {$ l  D0 G' U9 QNo Round 3, Q) n5 Y- J2 P/ X5 {2 a1 T
  k; F6 [0 U. E0 \, W3 z
The answer is 13.
! s) G1 P" O* U: x: T8 V7 D
' M# k2 T  z' o3 t4 v% h5 X- n5 v唔知我答得正唔正確呢?!
2 s6 r6 Y8 U, W/ `- s  |" u. u9 O) i. h: w1 {
[ Last edited by hello1997 on 2007-3-2 at 12:39 AM ]

playbr2

Originally posted by Azuma at 2007-3-2 12:25 AM:' T  e" E' }! r3 G7 Q. A8 c' |0 y
1.
8 j3 ^9 [; {9 Q1-6 vs 7-128 x. Q0 W- r* x1 X# @9 k6 W- ^
if 1-6 = 7-12     13 is fake9 }% k! X1 z$ p0 f, |
/ [9 A. |! m+ c6 w. V
if not . f, f/ c( q/ P+ {# `1 y2 e

; u: c2 y/ i/ p0 Z; O: {, UWeight the 2 time 5 W4 l, z1 ?  r7 w

$ }" Q% j+ M6 @* E5 R$ LSuppose 1-6> 7-121 Q2 U& ^7 \8 r. g  V' Y
5 ]2 I! y3 m9 O) j" q
1-3 vs 4-6
; s" @4 B* O+ R' Y9 v; ?$ k+ [4 K" ]( j- g5 D6 \
Then Weight the Third1 [% i, }) Y% b, j
3.
( O% e! B0 ?' J" [: G6 ^+ I" A
) [) m) d; K- j$ O5 ^8 G4 N# YSuppose 4-6 > 1-3- ~7 m( X" [6 {+ @/ c
/ A" P: v, s7 j" X- S6 v" u7 K# `" B
Just like the first Step
) b( C: _  ~2 O
7 V4 a$ v% c0 ]6 w" a4 vs 5 2 ~) X1 \/ H3 G6 n) E, J5 @
& d2 s7 Z/ e! C) L* Q. }
if 4=5 6 is the fake one
) B+ |+ G3 t0 m2 y$ \2 I# r: M+ T& ]1 m+ Z$ W
if 4>5  4 is the fake one
% x3 i2 b9 I" k9 C: ?" c; D  ?and so on......................

# U) U, X" H. f  l7 L
- v3 M! l9 F! h/ i( M3 m
% {: V! @& {, G! ^  P
問題第二步2 l& `4 [8 J1 P: P3 C) A# C
9 \8 I8 I) F' Q
Weight 1:  1-6> 7-12. i/ ?# ~$ w0 g: d3 t

3 f9 `$ [0 _3 `/ n2 q" w/ JWeight 2:  1-3 vs 4-6 , if 1-3 = 4-6' ~' o  u# `0 B, D
+ g% C4 T0 b0 k, v: s% Y; R
你第三步点去搵 7-12 边一粒???/ K4 w6 A4 H' [' e/ ]7 w( k0 k, f

) |) V2 ]1 q' I! T========================================
7 j0 z; A( @0 l( W% W
3 @! V8 S: v( F% i- O1 I問題第三步/ k0 ?1 p, q+ D, b
; p- Q5 P2 l/ X! R/ w
Weight 1:  1-6> 7-12  [. o% R! N2 n1 @8 Z7 a
  v& M( M6 G- ]# X
Weight 2:  4-6 > 1-3
& w% \$ c" L4 v; Z8 I9 S& |  Q) c: R6 Z9 }
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