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' {8 }* q) i  H

) b0 F) c; F* }; ]1 C1 d『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)。/ w0 R; L8 s5 Y
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？』/ w9 B, P% l+ W7 ?9 m/ h' n; ]

( C0 C* N7 y! r: R7 R3 Y9 g注意:
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& M1 x3 P8 T! Z! ~( i9 m  \# c1. 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: `) Z, C, X2 |( v  z9 c6 q, @

% d, Z4 u& ]# L9 }" R: h3 I6 p1 e2. 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
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[ Last edited by playbr2 on 2007-3-1 at 11:54 PM ]

guswan

Originally posted by playbr2 at 2007-3-1 21:34:
# \; @+ L, ]7 y相信e條題目都有吾少人玩...

5 ~( b- P1 \# C% l7 \$ T6 ]我以前畫左個chart去答,6 m. R  e1 E3 U8 `
等我搵下仲在吾在' h# {7 v7 G/ }) m- D0 B

! L! J+ i5 P; Y/ C! l當日用左37分鐘答１２粒波子，差７分鐘才合格。; S( U' T# M4 N5 ^1 w
13.........2 I. }- w- A& T# t) ~1 B/ q; b

2 C3 f: ^- J, `7 l, W' L. _, o& f[ 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 u2 u1 H0 u0 P6 S5 N- I* B8 }
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我以前畫左個chart去答,) v9 W$ x/ h, j0 x; K+ [3 \, o. k
等我搵下...

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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:3 p  U9 D" M1 A# v3 v8 D# M* l/ c9 C
唔識隱藏...已經諗到..

9 L& X* l3 G; [+ H! h# V8 a6 R# a, [& A( i: d  v* G
sor !!!....e加改左$ v# ^! d# h. c5 M1 L

% t  i& k- f, Z! ^' c2. 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( `* {" f: E5 V3 j) n" O4 |" z

9 g0 ?9 Z6 O7 O" |& X% T" d[ Last edited by playbr2 on 2007-3-1 at 11:55 PM ]

Triangel

Originally posted by playbr2 at 2007-3-1 09:34 PM:: t! r2 ?8 G. l) d& V$ {; @
相信e條題目都有吾少人玩...

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PlayPlay, Let me know later who has the right answer and I will add points accordingly.; P* c, F" }5 D

& c2 }) ?3 q5 @  WThanks

playbr2

Originally posted by Triangel at 2007-3-1 11:57 PM:) D! |# p+ N  p% h1 q
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! F( q7 c5 s8 F4 l* X, X) U3 B( l9 tPlayPlay, Let me know later who has the right answer and I will add points accordingly.
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Thanks

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5 N3 Z1 c  O  j不如你都玩吓喇....叫d叔叔加分咪得囉........如果岩既話

Azuma

1./ o- [; K/ z9 J6 T
1-6 vs 7-12
+ c( T) D+ s( n# a8 Vif 1-6 = 7-12     13 is fake5 }8 d% m+ L& G4 a' l2 K
1 d9 L$ u! n0 N, I9 t
if not 8 k1 k7 A7 t+ u7 n' ~7 X; [

5 x, C5 M2 m" c5 p8 X' w" bWeight the 2 time 1 k- J, O  j, L9 M  a+ x& H

4 H3 ]& D8 y3 _# w$ j. tSuppose 1-6> 7-12
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( u! n! ]7 ?7 h; R9 _. D' |- ^1-3 vs 4-6
6 q& R. A4 D) {/ Q+ g) Q8 b; g& x* |
Then Weight the Third/ a7 [; s8 X# V. f4 j7 y3 x
3.
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% R; }' ~, ]3 ISuppose 4-6 > 1-3
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% l1 _2 u0 v5 T4 U- y; uJust like the first Step
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4 vs 5 ' }9 [( i2 h5 m: O
3 e4 M$ |3 }( }# C0 `
if 4=5 6 is the fake one
7 _4 L4 u+ P  N+ d( [- T) f& B0 F. i
if 4>5  4 is the fake one - r: y( g! P( W8 u3 }9 U
  X5 P# C8 m% s) T, a3 ~8 d! j' I
and so on......................

hello1997

分3組4隻波子秤
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. Z# X1 M. O4 l0 qGroup A: 1,2,3,4
& n3 V) W5 z+ v- X& JGroup B: 5,6,7,8- ^( q5 e  h4 H1 Z2 c
Group C: 9,10,11,12
2 J5 c' n' u4 ^( k! y$ r' v0 SGroup D: 13
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Round 1
8 j4 t% U0 Y6 G. s* |Group A vs Group B
3 K* x9 D7 {* N2 F- }9 Z如A and B一樣, 即較輕一粒在Group C or D, x5 @  V/ M+ r- n2 X2 O' S9 L' L% [

$ T$ S% `6 @# ERound 2
+ e* D4 H; ~) R9 K6 w2 ?4 l5 i0 `再在Group C拆成:4 I: P$ n( g( o1 A/ }
Group Ca: 9,10
; t0 c  J. D9 uGroup Cb: 11,12
  t& {, y: x% X3 N3 C  W) L7 u然後再秤, 如一樣, 即13為較輕一粒.1 u9 p% R, n+ i1 d
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如不同, 即較輕一組有一粒較輕波子在其中, 7 L2 C+ K' V- O# }3 Q/ I# k
要再秤, Round 3, 之後便知答案.' F& B$ e2 Y, ?! B2 b+ x8 H8 M: \
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e.g. #1 假設10為較輕的一粒
' |4 F& s; @$ N8 V8 GRound 1
/ F; ~( F. o2 y7 Z" p. t& R1,2,3,4 vs 5,6,7,8 = equal
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  z5 X! M8 f% H/ s% U% s7 K1 yRound 2' u" v6 i' s1 f: I
9,10 vs 11,12 = 9,10 < 11,126 \8 m" q3 _8 U3 C5 K
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Round 3
+ F! O' X% F! I9 vs 10 = 9 > 10) P9 g* G0 y+ `' e* m

. Q. H8 j( I7 m5 W: zThe answer is 10.( Y* m/ |8 N0 y* u, |2 p

: e4 b/ K$ v4 E) re.g. #2 假設7為較輕的一粒# r9 p% X/ q! [; h" L
Round 1( {2 x$ I  y. r3 _
1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,8; ]9 @9 z3 U! P$ r! O4 \

2 G3 L9 m2 F1 `( ?8 |  @/ g$ vRound 2% W" ?, o) F  g  B& D6 d
5,6 vs 7,8 = 5,6 > 7,8
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Round 3
  ~9 K- e  {* m; a1 i7 vs 8 = 7 < 89 r" Z$ l4 K9 C2 U9 _  D9 S% o
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The answer is 7.7 I, V. K6 _0 D5 j

# s" l+ q( n0 T' @e.g. #3 假設13為較輕的一粒( W$ P( q3 `: l; D6 X6 p7 O' O
Round 1* d: y' |. K9 J! d' D/ `' C% {* E0 v, T
1,2,3,4 vs 5,6,7,8 = equal9 m9 c( ]6 T  k
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Round 2
9 C, b$ E5 \0 ]. w9,10 vs 11,12 = equal
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$ a  O5 l% @; |, h% ANo Round 3, C( t5 Y0 l) O
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The answer is 13.
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唔知我答得正唔正確呢?!
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[ Last edited by hello1997 on 2007-3-2 at 12:39 AM ]

playbr2

Originally posted by Azuma at 2007-3-2 12:25 AM:
! J0 a5 _/ K7 c: G8 o: S3 ?/ Z( a1.
) n. U  t! L  D1-6 vs 7-12
% \+ i/ [% z8 u$ g& A9 tif 1-6 = 7-12     13 is fake
5 i3 D8 \& g) }2 H% J/ {' r3 q1 W! W' ^9 [8 h
if not : W, s7 i8 p: E* c

! l. r( n' J9 y% u- c3 DWeight the 2 time 7 M5 w4 l3 r# z/ f* v* n. X2 n, h

6 H5 ]5 ^, A* O7 d4 d; m" u# Q: ESuppose 1-6> 7-127 D2 O5 e. p9 F; X' G9 [
- F( v3 m; m% o
1-3 vs 4-6 1 u2 u+ T0 m( g( \
1 e" @. t6 s" W5 O$ I: S
Then Weight the Third
; M9 v; L" ?5 _/ h( B3.
) d  F% N9 n9 ?& b1 ^5 ~0 |8 V' K. t# m
Suppose 4-6 > 1-3  C  U) }8 ^3 S0 C

4 s, S; \4 B* s: f7 V' k- \Just like the first Step3 B6 u2 W- h0 r/ O, U6 i
( f* D' X- Y7 m( Q  h$ x
4 vs 5 & k1 M3 R+ d. I  j, L8 K
) W* c, p; H/ _( N  l
if 4=5 6 is the fake one
4 m9 B6 E, O) ?! {- g) O" P2 r6 _6 c5 ]* Y2 M; |
if 4>5  4 is the fake one 1 K6 k6 _, q5 f. C; c6 o
and so on......................

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問題第二步- j( |# o0 z7 q; n

9 V  h6 X* l7 fWeight 1:  1-6> 7-12
2 M7 P" G+ j8 ^+ p2 T( a/ @3 ]3 e4 b$ O5 {2 t
Weight 2:  1-3 vs 4-6 , if 1-3 = 4-6
6 s; j. X/ q- \  K& r" A* Q% x5 ]" }- Z# i- X& N( G2 V$ |
你第三步点去搵 7-12 边一粒???
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% R7 N% J1 ^% {1 j========================================
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問題第三步
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Weight 1:  1-6> 7-12
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Weight 2:  4-6 > 1-3 ' ]# F: p' _' \* H1 ~
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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