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 B! j& p8 }5 n5 A; d$ C. D
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『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)。: Q1 r! O9 k2 T& }
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？』  e- a6 ^' o& b' O+ @3 r
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注意: 0 h7 o9 c: Y! ]  P/ b7 M
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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! i% n  u  D8 P. g& r9 n
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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  , hide 字要連埋 , 內容 = 答案! K8 _  e: W% n- x/ ]
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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:" `  }! v8 `7 A- i/ J" r+ l
相信e條題目都有吾少人玩...

0 \; Y: C& U1 K' K' D2 m我以前畫左個chart去答,
$ v. ~; }$ m! {; p3 c等我搵下仲在吾在: G; _6 @( ~% t, A* t) P

, i/ ~' F  P! X) r3 I+ `當日用左37分鐘答１２粒波子，差７分鐘才合格。
1 B) J* L- x% b13.........
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[ Last edited by guswan on 2007-3-1 at 09:44 PM ]

playbr2

Originally posted by guswan at 2007-3-1 09:38 PM:
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0 |5 y" X( b( ^& |我以前畫左個chart去答,! Y7 d0 s: B! D+ a  Q2 N1 A' ?3 t
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:1 N$ N* g+ h( i, k
唔識隱藏...已經諗到..

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2 }) @0 ]. I" n2 n7 e4 A9 Fsor !!!....e加改左
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$ T/ P/ i2 l$ I# y9 `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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; O. }: w; h8 V$ P; |% h[ Last edited by playbr2 on 2007-3-1 at 11:55 PM ]

Triangel

Originally posted by playbr2 at 2007-3-1 09:34 PM:
( b0 u" a# H$ t( s# o) U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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PlayPlay, Let me know later who has the right answer and I will add points accordingly.9 {. ^( o' D4 s; _" h
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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.
( H- e3 a, M. A1 B: I3 t. a1-6 vs 7-12
& T" F( P4 Q9 H0 y4 {if 1-6 = 7-12     13 is fake0 a, i1 m4 e: l4 @7 z

3 u; z$ V$ F6 r: p/ ]- Mif not % g/ g# f0 b. g* W" A1 }

. B9 X& v' H" ?7 x; iWeight the 2 time
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Suppose 1-6> 7-12
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1-3 vs 4-6
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) n9 W5 l5 m# G# `Then Weight the Third3 \  H9 y3 R+ b9 M
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Suppose 4-6 > 1-3
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$ d, W! h8 T$ x" fJust like the first Step
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4 vs 5 $ I3 q1 c- B4 Q1 `5 U
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if 4=5 6 is the fake one ( R/ b1 a+ |9 [4 r

$ W6 E6 g5 |( M* U1 L, l  Bif 4>5  4 is the fake one ( i; B0 ~2 U/ H1 p  D; w
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and so on......................

hello1997

分3組4隻波子秤1 L0 l8 ^4 u( B) X* `8 s# [6 F& l

' |. X4 c( q* f8 ?# P2 dGroup A: 1,2,3,4
. C9 `- v4 L6 e+ d3 p- K+ EGroup B: 5,6,7,8
* H: e2 k: d& `+ I) PGroup C: 9,10,11,12: {, o) \8 R2 j7 t
Group D: 13
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Round 1
9 E. {7 H& d7 F0 c" i: G2 LGroup A vs Group B3 u3 V1 Q7 x- A9 y+ v( `4 s
如A and B一樣, 即較輕一粒在Group C or D% D. g' y# q6 X, c
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Round 2
& g8 y7 @3 H8 e再在Group C拆成:6 `. ]) }+ i3 n* e0 \2 ~
Group Ca: 9,109 t( d" x1 z: K, c. E, e
Group Cb: 11,124 a6 L* z6 G3 w' P- r2 I7 J& m
然後再秤, 如一樣, 即13為較輕一粒.% J- O0 L8 n: j; Q3 D4 U6 w
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如不同, 即較輕一組有一粒較輕波子在其中,
! e# O9 `0 ^3 ~5 p9 T' R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 _$ f9 q! C6 O; l
Round 1
3 w" R: Q- P  a* o& _2 Q5 _: C1,2,3,4 vs 5,6,7,8 = equal
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Round 2
$ P9 P. N: I6 N* R) v3 E9,10 vs 11,12 = 9,10 < 11,12
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; ^# U' ^  G: ?; m9 vs 10 = 9 > 10
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The answer is 10.
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! l4 Z6 n, }/ m1 p5 se.g. #2 假設7為較輕的一粒' A* f+ ~/ i% E" e1 {0 N
Round 1
& B7 O) y) e3 }9 |1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,8- h, D0 A( |) x  ^% I

' Z, [" a! z( Q7 C( kRound 2
! P! |1 y" N! O5,6 vs 7,8 = 5,6 > 7,8
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* K( d& U& S" I5 ~Round 3: |/ z& R( ?  L- |' p
7 vs 8 = 7 < 82 c7 d) g& {) B7 j
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The answer is 7.! j* Y5 |, H0 C$ X8 p- Q

9 ]' S/ Q1 _4 d. p* m- K, ]7 Ye.g. #3 假設13為較輕的一粒: ^) o; q& \# j) a
Round 1( E3 s& L% [; c5 x# a
1,2,3,4 vs 5,6,7,8 = equal2 L- D2 K) ]  u! E' f5 e! y
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Round 2
2 p% d* A1 ~* I& j9,10 vs 11,12 = equal
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; c* S7 M% t4 N) _! L* \6 ?No Round 31 C- R2 z! y! b# [( s, m

  P! a8 x/ y' v) e  IThe answer is 13.2 x4 B# H8 c5 [, l2 \
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唔知我答得正唔正確呢?! 4 c. N) W, p0 A  s4 k

; ~* y4 b% g0 V6 J; x( v[ Last edited by hello1997 on 2007-3-2 at 12:39 AM ]

playbr2

Originally posted by Azuma at 2007-3-2 12:25 AM:+ d" D; d2 e0 r6 T* E# \& Z: q
1.
/ N1 b9 @/ `% a, N1-6 vs 7-12! D4 A3 B* }, i  s6 I0 u3 B3 O
if 1-6 = 7-12     13 is fake
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if not
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6 v$ F* m; s' a: M& T$ k4 hWeight the 2 time
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* N. [" N, U8 o9 fSuppose 1-6> 7-12
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  ]6 z5 L8 E. `( o7 E2 ~3 P1-3 vs 4-6 : a& e6 ~& L+ [0 K

9 J! g& x" w' F: P, e0 ~) DThen Weight the Third4 e/ a0 n1 [0 b. y
3.. n2 C2 C. @, W# W0 L. }/ p
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Suppose 4-6 > 1-3% X% e! t# F8 r2 t7 G& v2 f

  @8 I! k! k1 s$ V9 _! N6 ?Just like the first Step/ t+ Y9 ~8 G9 c% x0 `. {& s) ?
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4 vs 5
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if 4=5 6 is the fake one
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, }1 p4 E; a6 c, o& Q; t4 Lif 4>5  4 is the fake one 3 h  K9 f9 ~/ E9 q
and so on......................

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2 P0 E* v9 d3 z, v問題第二步
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2 l: n- o. K8 E/ {1 TWeight 1:  1-6> 7-12
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- m# {  t3 w# PWeight 2:  1-3 vs 4-6 , if 1-3 = 4-6
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你第三步点去搵 7-12 边一粒???
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問題第三步4 e$ p( R' T! W1 z
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Weight 1:  1-6> 7-120 B# R" r$ {3 M5 o% R. k# G+ r+ a
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Weight 2:  4-6 > 1-3
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6 K" c, r; h- @7 h+ e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