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playbr2 發表於 2007-3-1 09:34 PM

推理大挑戰(第四關)

[color=Teal]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[/color]:lol::lol:
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[color=Blue]『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)。C1A\V7d\KPD E
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?』[/color]
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[_ASI[8tsw [color=Red]注意: [/color]
n-AX5W*BS#u 3W2\@ OF(J
[color=Red]1.[/color] 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k4[x-W2f
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[color=Red]2. [/color]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
R:}Z-ZV,E !Q.w{~RuU
[[i] Last edited by playbr2 on 2007-3-1 at 11:54 PM [/i]]

guswan 發表於 2007-3-1 09:38 PM

[quote]Originally posted by [i]playbr2[/i] at 2007-3-1 21:34:
| j/w&@V epU [color=Teal]相信e條題目都有吾少人玩... [/quote] `v-o(d4e
我以前畫左個chart去答,hoROb8J ~
等我搵下仲在吾在:D:D:D
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(C.P'Tc.YJ)_ 當日用左37分鐘答12粒波子,差7分鐘才合格。
,af(@0t"|Q!{ 13..........ejm&?!f3N?

:E&]D.P]w.mF;wuR [[i] Last edited by guswan on 2007-3-1 at 09:44 PM [/i]]

playbr2 發表於 2007-3-1 10:07 PM

[quote]Originally posted by [i]guswan[/i] at 2007-3-1 09:38 PM:'U g1\'zD

pEg2M~cvK5\1H 我以前畫左個chart去答, b GGjzt|p#C
等我搵下... [/quote]J/|}+PQG6Nf
;Qz!ZC&hZ&zv~^
記得穩藏答案

16749 發表於 2007-3-1 11:35 PM

唔識隱藏...已經諗到..:help:

playbr2 發表於 2007-3-1 11:42 PM

[quote]Originally posted by [i]16749[/i] at 2007-3-1 11:35 PM:PZeUv"@5P1z
[size=6][color=Green]唔識隱藏...已經諗到[/color][/size]..:help: [/quote]9zSOhRl
"A(a*dh+M V'h8}
[color=Red]sor !!!....e加改左[/color]N^"m)CH3t
%P#wb(]tV _
[color=Red]2. [/color]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 l| {i,dH2J|{6WY

&G8Z1Ii;@ [[i] Last edited by playbr2 on 2007-3-1 at 11:55 PM [/i]]

Triangel 發表於 2007-3-1 11:57 PM

[quote]Originally posted by [i]playbr2[/i] at 2007-3-1 09:34 PM:
j]@([j:Go [color=Teal]相信e條題目都有吾少人玩... [/quote])\4Pn1G"|&D
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PlayPlay, Let me know later who has the right answer and I will add points accordingly.
[o%TV;G5]YB^ A8o4l Dyp
Thanks

playbr2 發表於 2007-3-2 12:03 AM

[quote]Originally posted by [i]Triangel[/i] at 2007-3-1 11:57 PM:)HO`yFf\h

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PlayPlay, Let me know later who has the right answer and I will add points accordingly.
m1K0W/t,B"R]gs
%UL0yrde Thanks [/quote]:WQnB5tZ/J.{

olcWK1nmN;s B S6j 不如你都玩吓喇....叫[u]d叔叔[/u]加分咪得囉:agree::agree:........如果岩既話:lol::dev::D:D

Azuma 發表於 2007-3-2 12:25 AM

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1-6 vs 7-12
!Ci6D!Q}!a if 1-6 = 7-12     13 is fake9hC nb|alK
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if not &@1o\T:OHV

A)~#i|;jk Weight the 2 time
8ZO v eB3P ym
vP7f4w!iK y? Suppose 1-6> 7-12
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1-3 vs 4-6 H&|#S-K_?

e:v'} j Q Then Weight the Third0Ku`3` qCz\
3.
4|,Pz-VL'L8i
Zd1N&r:YZ k Suppose 4-6 > 1-3
To W+a7C5YN"l
nFj'L)c @ Just like the first Step
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@+UJ ?}R3P 4 vs 5
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if 4=5 6 is the fake one
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if 4>5  4 is the fake one 6~9bv]4Lx#Ry5`
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and so on......................

hello1997 發表於 2007-3-2 12:35 AM

[color=White]分3組4隻波子秤
OK*tdSG.X&D KUv1Yq'c$\MT-w u
Group A: 1,2,3,4q~F"T:a c4w/Wx
Group B: 5,6,7,8 @R8gM!F4} V&D
Group C: 9,10,11,128r*UF_*K-T;F)jbP5OA
Group D: 13P O(?*z1^C&O C

+Sm%hI n@gKd ~ Round 1S(t`$_*r O"U
Group A vs Group B
lB ]#h-y5i,UR;R3Q 如A and B一樣, 即較輕一粒在Group C or D
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{8wye\/o Round 2"?9U1d-H O1T
再在Group C拆成:
TR:??.\|!YJRCZ1R2R Group Ca: 9,10
\!CkX\ Group Cb: 11,12
\{&E)j{s6p 然後再秤, 如一樣, 即13為較輕一粒.4B6kv6Z-jV

jH8rCg?q$jJ 如不同, 即較輕一組有一粒較輕波子在其中, t4p+C g:ICj/cl%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
cX'qCs4G6X2]0L Round 1*D,@z/SJA |
1,2,3,4 vs 5,6,7,8 = equal/A"kE!oK)}Q
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Round 2:^wn^X Q R
9,10 vs 11,12 = 9,10 < 11,12
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I/x/cq-om;YR Round 3
}VEEM 9 vs 10 = 9 > 10
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^ w){o;n5?2q P The answer is 10.? IJ:] p`t]5|
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e.g. #2 假設7為較輕的一粒c.A1j0l(c;yk c8M
Round 1
]G*pko7\#\)tq 1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,84yb7R0m w\ Npx.J6Z
3tD8iAS&{,fv Gn_
Round 2
D6Ti5yA{N?&Z 5,6 vs 7,8 = 5,6 > 7,8
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Wb5Jjck|4po Round 3t6X"Vhv G Qo&w8f
7 vs 8 = 7 < 8
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%K-]fr,x VS The answer is 7.
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|'P4m"]4`^G9r"f e.g. #3 假設13為較輕的一粒 f|7M7I.C!KCh\({
Round 1
0Q c^m{ 1,2,3,4 vs 5,6,7,8 = equal%s|\6~&\cp }Y

zO"\5aJt(L,Z Round 2
v8bRb(vQ b 9,10 vs 11,12 = equal${f"n4k4g%s-L

2g5E EN;YDQd^'c8~ No Round 3
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The answer is 13.[/color]9h5H9_1MJ sj+e!a

4m ^+K pwu-XO8s 唔知我答得正唔正確呢?! :agree:.lm%^{T;fb

xIEd6?3m^1We [[i] Last edited by hello1997 on 2007-3-2 at 12:39 AM [/i]]

playbr2 發表於 2007-3-2 12:48 AM

[quote]Originally posted by [i]Azuma[/i] at 2007-3-2 12:25 AM:
7_ S |d:n5Y b:?s 1.
CJna^ 1-6 vs 7-12%VZ/x2sG
if 1-6 = 7-12     13 is fake"NM7s1Eh,Q \-Cu
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if not
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[color=Red]Weight the 2 time Ava? r2vqQ+gLWJ

ZKV!p!F(H9@H Suppose 1-6> 7-12
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1-3 vs 4-6 [/color]
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[color=Blue]Then Weight the Third
RfV7Ra?)P 3.g?N``$v

'^$r r)B~'}nX Suppose 4-6 > 1-3
.}Aj{)Bq
6U.h~3dbbd Just like the first Step
'Xxu\-G6^ Kz AG|!G8fL/A-N bN
4 vs 5
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F5Al [:zd B if 4=5 6 is the fake one
;@/ALD?Xis b
rs+enCH};z| ] if 4>5  4 is the fake one [/color])lgS ~R
and so on...................... [/quote]uPSH#O3[I

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[color=Red]問題第二步[/color],~N+J5A J/[L

$j9~Q(vA)H'iO N Weight 1:  1-6> 7-12
1e6X7F qH+i F
[W.V!T@$~_9AdH Weight 2:  1-3 vs 4-6 ,[color=Red][size=4] if 1-3 = 4-6[/size][/color]ZN;^9VR Ia alK

9y K%l[A kx 你第三步点去搵 7-12 边一粒???n,wRJkx L(s1T*L(u-N

0i3G.f ? Pp~hR ======================================== y$D S8AFpmJ$k
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[color=Blue]問題第三步[/color]&S z:n8N:pm0t

'[(lQ g` t.`g Weight 1:  1-6> 7-12
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Weight 2:  4-6 > 1-3 i'm#[{_Ua0l
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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 :naughty::naughty:

Triangel 發表於 2007-3-2 01:04 AM

[quote]Originally posted by [i]playbr2[/i] at 2007-3-2 12:03 AM:
(B&P*o`,[q} 2?-]1Q8` ]*^+fsz`V(|

ve:r![5yGF!a 不如你都玩吓喇....叫[u]d叔叔[/u]加分咪得囉:agree::agree:........如果岩既話:lol::dev::D:D [/quote]
(n@E0N+N4s%| /W ` H t!T@6c
我邊夠IQ玩,加分我就識(加分唔洗用腦架:dev::P)

guswan 發表於 2007-3-2 01:10 AM

playplay,
-OC:MO;C LX;m 駛唔駛連輕左或重左都要知?Z MUc;~A
12粒就可以,13粒......

easy_man 發表於 2007-3-2 01:54 AM

hehe ~ 睇到問題之後引唔住手睇埋人地既答案 ~
D"t5tin.i$Bwm 但係佢地好似都錯左 :help:

playbr2 發表於 2007-3-2 01:55 AM

[quote]Originally posted by [i]guswan[/i] at 2007-3-2 01:10 AM:s.uZ*O!x+CS
playplay,c` Z!Yi
駛唔駛連輕左或重左都要知?
ipH p&e9Za9r 12粒就可以,13粒...... [/quote]9n h7US4\0DZ

Z,gnl|kq 如果將個答案攞去做實驗.......最後真係會知边粒波子輕左或重左.......不過係文字上,輕左或重左都冇乜所謂(又比左Tips :lol:)
w5_E*}8{.t(p^7KYi*\*|
e/LL_*F c? 13粒 一定得 :agree::agree::agree:

playbr2 發表於 2007-3-2 02:05 AM

[quote]Originally posted by [i][color=Red]hello1997[/color][/i] at 2007-3-2 12:35 AM:
m-r8r1~#V2s [color=White]分3組4隻波子秤6sD9A FbP k

6_ e[!Rt*z Grou... [/quote]C#O VF.rOS
Q @R[ Y'v
吾知輕左定重左喎.......冇得咁假設 ---> 『一早知边粒輕左/重左 』使問由''已知的假設答案''出發,又点會推算出岩答案;););)

playbr2 發表於 2007-3-2 02:07 AM

[quote]Originally posted by [i]Triangel[/i] at 2007-3-2 01:04 AM:zO;d(KX

iNQ/q4Tm
W-d#O;`vE 我邊夠IQ玩,加分我就識(加分唔洗用腦架:dev::P) [/quote];C$@P%k%~

8muH(~ K6o 頑童俱樂部  #64580 :confused: ok 嗎???

feuosma 發表於 2007-3-2 02:19 AM

[quote]Originally posted by [i]playbr2[/i] at 2007-3-2 02:07:,eEn|#wv%Ga
}:V'}5iR

4|;X-[j CFUY 頑童俱樂部  #64580 :confused: ok 嗎??? [/quote]
!q*A },{B8XL5fP 5[_ [7B*x]2l$B%V @iX
冇勇氣面對你...不過至少有勇氣答你既問題.....我答完覺得仲係有d唔妥......不過我好相信我呢個應該好接近答案..........去片...
| hH~cH
({H'mJ^$j [color=White]先將13粒波子分為5份….姑且叫佢地做A,B,C,D及E…
'ptC!^5qN|0x0_ A,B,C,D四份都係3粒波子…..最後E果份就係1粒波子….
XS3[a x(y {6NP$l.a 咁果一粒當然一定晌A,B,C,D,E果五份是但一份到….
~S F/JCO
5nGZ&{#YG5qW4o 先假設果一粒晌E果份到…..咁就簡單….e4D8fRgB
先磅A同B….大家都會係一樣(第一次磅)….
$N\ u2O6w\y*}0J 跟手磅C同D….大家亦都會係一樣….(第二次磅)…@b+V BCR}b
最後再攞A或B同C或D磅(即A vs C/ A vs D/ B vs C/ B vs D/是但一個都冇所謂)….大家亦都會係一樣….(第三次磅)…
+g ?tbJ.h3HH 咁樣就證明左A=B=C=D…咁果粒當然就係E啦…..
%?gG.M$nP${%r 6V8kjMsHv
世事當然唔會咁簡單…..如果果粒唔同既晌A/B/C/D度又點???
~6{mfe J5d'Y 假設佢晌A度…..;mj@:?a2Zt s X
先磅A同B….A對比B會係輕d/重d…(第一次磅)…. @l z6GtG'bO+^f
跟手磅C同D….大家都會係一樣….(第二次磅)…
fG!X \.E!Sk 係咁既情形下即係果粒唔同重量既一定晌A入面…..最後再攞A入面是但兩粒黎磅…(第三次磅)…如果係一樣既…..咁剩低冇磅果粒當然就係唔同果粒啦…..$E e'a!o$oM3lH0p
如果磅出黎係唔同既….咁就要睇番當初第一次磅既時候….A同B比較時究竟係輕左定重左…..如果係A重d既話…即係話果粒唔同既係重d既….咁晌第三次磅既時候重d果粒就係唔同果粒啦………. 如果當初係A輕d既話…即係話果粒唔同既係輕d既…咁晌第三次磅既時候輕d果粒就係唔同果粒啦……….
_s{d_ qS)\5B+{
而晌咁既情形下E無論點當然都唔駛磅啦…..(佢一定唔係唔同果粒)….u,M'E ? ytn
_ d"c;Y Z
如果果粒唔同既晌B/C/D度都係用一樣原理咁抽佢出黎……[/color]

guswan 發表於 2007-3-2 02:20 AM

做完,可唔可以scan圖,點隱藏圖?1qj Z e+iU$R
有排打.

playbr2 發表於 2007-3-2 03:07 AM

[quote]Originally posted by [i]guswan[/i] at 2007-3-2 02:20 AM:fZ,d9Z N:i T
做完,可唔可以scan圖,點隱藏圖?%{ }$TS)L:O7DS
有排打. [/quote]8A"D3_;Y ^T

;_;O8I8a[4x hn4u 你scan圖 , 之後zip (再加密碼)......你e+係度嗎???.......去[甘肛] 上載附件 所需 積分 1290 , 我下了會call你, 你就馬上 dele 吧 ...... 第二日,再揾機會比密碼:agree::agree:

playbr2 發表於 2007-3-2 03:16 AM

[quote]Originally posted by [i]feuosma[/i] at 2007-3-2 02:19 AM:
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'x6h"Z vg(\0_
q X3y eS 世事當然唔會咁簡單…..如果果粒唔同既晌A/B/C/D度又點???
C1?R}T!z`c [color=Red]假設佢晌A度…..[/color]:w/T6C G0~7[e
先磅A同B….A對比B會係輕d/重d…(第一次磅)…. #v?ark j4B,SJ-w
跟手磅C同D….大家都會係一樣….(第二次磅)…
$K/G Lw ] X~5V6u.[ 係咁既情形下即係果粒唔同重量既一定晌A入面…..最後再攞A入面是但兩粒黎磅…(第三次磅)…如果係一樣既…..咁剩低冇磅果粒當然就係唔同果粒啦…..
h{,L._ ku*^Lv 如果磅出黎係唔同既….咁就要睇番當初第一次磅既時候….A同B比較時究竟係輕左定重左…..如果係A重d既話…即係話果粒唔同既係重d既….咁晌第三次磅既時候重d果粒就係唔同果粒啦………. 如果當初係A輕d既話…即係話果粒唔同既係輕d既…咁晌第三次磅既時候輕d果粒就係唔同果粒啦……….
5xR0v k1t[xA3ohJ
4NN@ nepb u 而晌咁既情形下E無論點當然都唔駛磅啦…..(佢一定唔係唔同果粒)…
Z0M,Xx%z-`7Fy v&a
BlU] j&j [bR+R 如果果粒唔同既晌B/C/D度都係用一樣原理咁抽佢出黎……[/quote]
2l#f}:H]
'_3RO2AS.tz 一早假設了答案,不會得出最後正確答案,只會[color=Red]人為地[/color]製造出假設答案 , 如果你的[color=Red]假設[/color][color=Blue]不成立[/color] , 你下面的推算皆錯!!! :):):)

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