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4 Z/ `! O# f/ u8 P" A" V

0 |8 g1 O8 V* q/ @  k! f0 m' \% d$ T『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)。5 _9 {. \7 H* R6 H9 ?. B" |
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？』' b0 [. ~, G/ S9 B8 O+ j
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注意: . A  T' @) p4 A. n. ]$ A) C- L8 W

- k0 \, ^- m. d) F3 |# k; N& v2 p1. 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
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0 x/ o- l2 @0 |5 X# K2. 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! e/ P  V. d- P  F
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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:
+ D5 c6 t. j; g+ g& \4 M; D# T相信e條題目都有吾少人玩...

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我以前畫左個chart去答,
$ |, |  r. {% N$ V2 Q# V! g等我搵下仲在吾在
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% i7 I6 j; J- C) ^1 u' {當日用左37分鐘答１２粒波子，差７分鐘才合格。
  @' V' `9 `2 a) V3 T8 S, g13.........
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) }7 K2 e/ T! x9 N3 |9 }( }[ Last edited by guswan on 2007-3-1 at 09:44 PM ]

playbr2

Originally posted by guswan at 2007-3-1 09:38 PM:" G; W2 Q2 d3 z9 H* f2 F! L0 {

: X7 Y1 M9 Q4 e8 j我以前畫左個chart去答,% T+ }" m3 F; r6 o
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:
( ^, t7 x7 ]/ J( Z3 ]! V唔識隱藏...已經諗到..

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sor !!!....e加改左1 V- B& a0 T% Y8 _( ]
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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
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6 Q* s+ a7 Q& L& t% _% i( u[ Last edited by playbr2 on 2007-3-1 at 11:55 PM ]

Triangel

Originally posted by playbr2 at 2007-3-1 09:34 PM:1 _* c9 A4 q  V- s7 t8 ^) S. Y3 W
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.
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Thanks

playbr2

Originally posted by Triangel at 2007-3-1 11:57 PM:
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0 \* M/ t* j" Z( h. A: RPlayPlay, Let me know later who has the right answer and I will add points accordingly.
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Thanks

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不如你都玩吓喇....叫d叔叔加分咪得囉........如果岩既話

Azuma

1.
9 l& B; {4 ^7 @0 }1 e1-6 vs 7-12( h" {3 S: v3 x
if 1-6 = 7-12     13 is fake
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7 o+ q9 `2 O- C5 v# ?if not
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/ x  s9 R/ F- c0 U" v' ]Weight the 2 time
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. I1 S) Y( ^; X  s1 NSuppose 1-6> 7-12/ E9 `% G3 X7 c; o+ y$ J

7 i$ t0 o9 z3 p5 U& g' U1-3 vs 4-6
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4 f/ Q3 ^5 f* T" q+ N( h& b4 eThen Weight the Third
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8 V0 U2 T1 m9 M+ C% R0 q; M) }Suppose 4-6 > 1-3& c! ~: K; ?' X7 D+ [

' s: d3 F# z' \- i: SJust like the first Step
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2 V5 |9 s3 W1 C* Q  a: Q4 vs 5 6 i* \' t$ `7 m
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if 4=5 6 is the fake one ; B% E9 `0 Y: N( k# ?8 e/ |
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if 4>5  4 is the fake one
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and so on......................

hello1997

分3組4隻波子秤) P! [2 \; i5 v6 R0 e. |

) O) G5 @% V7 n3 H+ AGroup A: 1,2,3,4
- a1 a! Q+ H0 l# kGroup B: 5,6,7,8
9 u% G5 M3 C* s2 OGroup C: 9,10,11,120 S( G" k3 A- m/ o5 n$ `1 d
Group D: 13
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Round 1! O0 x5 ^7 [  F+ @3 _
Group A vs Group B6 M- Q; Q. l) Y/ {5 ~, J. K
如A and B一樣, 即較輕一粒在Group C or D* z5 ]! q2 G' ?0 K& ?

" r6 F* c4 r* i3 nRound 2. N$ v/ t8 r! ~9 M
再在Group C拆成:, ^  x, z0 M8 q* ]7 N# I& {+ h: F
Group Ca: 9,10/ x' e) }- r! J4 u3 K; K! f% t
Group Cb: 11,12$ L- R7 p- B" [; j8 j6 K2 w8 y9 \
然後再秤, 如一樣, 即13為較輕一粒.. z0 |& z: e: n9 O
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如不同, 即較輕一組有一粒較輕波子在其中, , ?) z' n4 V, A, n0 }
要再秤, Round 3, 之後便知答案.
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e.g. #1 假設10為較輕的一粒
3 u. D* `9 a; v; q- K; ~Round 1
! C: G! W/ h  C" Y  M1,2,3,4 vs 5,6,7,8 = equal) Y2 h# u! i. A

" a6 O0 ]! Y. MRound 2! Y; E3 F! e" z2 V, g0 k6 F
9,10 vs 11,12 = 9,10 < 11,12
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) _: N. Q8 ^) A1 p- V8 j4 O# wRound 3
+ d; N' ^: k- ~* D5 \9 vs 10 = 9 > 105 }9 l# T5 v/ r8 d- [

/ S( n6 P2 v  p1 B% y- qThe answer is 10.3 V7 k& Q$ `1 J; J9 B
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e.g. #2 假設7為較輕的一粒, o/ ?. u# K& G  O0 ]2 G; E8 f, B
Round 1
3 M* a8 Q! [6 N1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,8
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& S3 z- c9 ]0 Q' u( `1 `# \9 `Round 2
' p4 O; @* a+ V) H% D+ |5,6 vs 7,8 = 5,6 > 7,8. ?2 J4 K1 A0 F
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Round 3+ Z8 u3 Z8 G; J' J
7 vs 8 = 7 < 8% B8 j3 a$ _8 i# {$ e, ]4 c* Y

) f/ w) m: w" W1 L0 ]8 v1 I4 m6 M6 sThe answer is 7.
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e.g. #3 假設13為較輕的一粒  Z' K) m! x! e' F: I
Round 1) [" w# a2 X% ~9 w- q9 D
1,2,3,4 vs 5,6,7,8 = equal
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Round 2
9 H- V5 s" q  H: ~9,10 vs 11,12 = equal
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$ ~; D3 s, f! w. S0 `/ b! C5 j' U# {No Round 31 i4 M4 y* b- Y! |) Q5 [
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The answer is 13.2 y0 W; c9 D8 l  ^
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唔知我答得正唔正確呢?!
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* }( B: g# |+ v( \' @, 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:
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/ u" {1 d+ f% o3 ?8 J. \+ m1-6 vs 7-128 U& u) {" ~4 x7 Z
if 1-6 = 7-12     13 is fake* e( H4 X2 {: U0 W6 o
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if not
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Weight the 2 time , e7 N. D- ?6 g: n
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Suppose 1-6> 7-12
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Then Weight the Third
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; K  }# }! N* w2 S" f# e+ tSuppose 4-6 > 1-3
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Just like the first Step
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( c5 i9 t. Z5 l0 N8 P& }! vif 4=5 6 is the fake one 2 h7 D& c% Q' B' S. E" Q

4 c( k0 O5 U6 A: q- l3 r' _if 4>5  4 is the fake one
$ Y, N9 r0 T4 b, M$ K" qand so on......................

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) I0 G4 ~& C- j, |% {! t6 a問題第二步% C3 [: |" h3 {% x
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Weight 1:  1-6> 7-12. q  D( _$ {' o! @: ^
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Weight 2:  1-3 vs 4-6 , if 1-3 = 4-6
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6 j$ l: J( P$ P1 g) Z; c你第三步点去搵 7-12 边一粒???
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問題第三步
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9 E0 y3 Q4 z: qWeight 1:  1-6> 7-12
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4 x/ d* a. M* G+ r  ]3 S# e! eWeight 2:  4-6 > 1-3 - p' a/ W" I# a% H3 u+ W

  A; ^1 j: j' s3 ^% t2 q0 ]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