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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:/M c~3]~`3SI

l#\ h9rxx1`J [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)。 wa zQ#Fy#J5|1m1_
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]
3Ji}'Dr-S
#{"V(h!^@ Jy#Z F [color=Red]注意: [/color]*S9v+aO;]$W

?'Mt KH,El [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uwESpZ

#H/b3Y.e2[DS w5N [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P+YgWM}vU

(G:?j0Brma4n [[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:
_fx.GkU [color=Teal]相信e條題目都有吾少人玩... [/quote]pS7I#N8pXb#rS
我以前畫左個chart去答,;P7}"a7\,v~Y7B
等我搵下仲在吾在:D:D:D
:n!r;TO;C2B4NX ``-|0G+C'Ay1a
當日用左37分鐘答12粒波子,差7分鐘才合格。7hC esC,G
13.........%~FSm~!F

(NpxEpN@ [[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:
5\ m;~G!fB +B}ep7C*G
我以前畫左個chart去答,
f o7~&C { w4?*j 等我搵下... [/quote]
rn"p%^r,gXk/] ,l1eCg Z'hVM
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:4bC\(z!@.~
[size=6][color=Green]唔識隱藏...已經諗到[/color][/size]..:help: [/quote]Xo/P1gPT

-zN7J]t a3u [color=Red]sor !!!....e加改左[/color](T0c7y*IB|z \"Y?
i,@dZ GWSE|\6M2?c:g
[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
j.Y~r"Y6t g |R6@ (V!JP!@C-Ne
[[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:
+{-QC!o.[ z/s0t2IY0I [color=Teal]相信e條題目都有吾少人玩... [/quote]-zB W~2b-?"{!HSR4Z
5Gl;wd W,hIZK
PlayPlay, Let me know later who has the right answer and I will add points accordingly.
ZUm#_~.V Ft8C !|x'l:_)d4?(H(}
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:
&DtQs(E~mA `!C@+{w2OjyM
1l,gTf5W`i#_'m&_
PlayPlay, Let me know later who has the right answer and I will add points accordingly.
E6C#|EN (qDZN/s;zS"k L*FZ:j'F
Thanks [/quote]m5dN KN1`.Z.m~
:y7`7Y8K.R
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

1.
(V:@d@x Vi"| 1-6 vs 7-12
VHH5{dK:{u(q if 1-6 = 7-12     13 is fake
3?7B)\[*A *e aZ g9C'v
if not
eV!?@3hq D;k
G.i)JazJa@ Weight the 2 time *Y~)P@ TjE.j,w[
?-unyk:QLX
Suppose 1-6> 7-12,\Hs!L ^f

x4p*_ b7a&l%U;l 1-3 vs 4-6 r:^B c#u%}$pe#v
|zt Ue&x lPi
Then Weight the Third(I0Kf,oa N0Q
3.
`(O.v7?s6i~ 'I%P#h|I6N Q
Suppose 4-6 > 1-3
V#`E[v.i6l5X:E6q
-@p0b9GJDCr'U*O Just like the first Step
ao2j P&M?*T(M3d x
&kw$?p&mF 4 vs 5 h9d9B.~6UH`3c)NA

$|V&x2N7L q#l%V+A if 4=5 6 is the fake one U5j-Wo;K*I9A ?{

&G @9P O]'AS(_;c if 4>5  4 is the fake one 0EI8l8Wi ykL)w w\

`#BU$EG and so on......................

hello1997 發表於 2007-3-2 12:35 AM

[color=White]分3組4隻波子秤,gsOx}

rze/Tg%c-b){ Group A: 1,2,3,4
"|8bM K$N`ck Group B: 5,6,7,8%[ CvH L~
Group C: 9,10,11,12? W7B;D \;st9cK*DS
Group D: 13zn9fGmG
|{#mIG;P3F e(Pl
Round 1
1?^*sK%l2j-X)D Group A vs Group B{ B_ pM M.s*B-~
如A and B一樣, 即較輕一粒在Group C or D,{Z2~ s[7G$J1G

!F7s7W^v&q Round 2i8]-z/r7q?;J9Cw a9J
再在Group C拆成:ei@;K"Eg2w ]X6}'{
Group Ca: 9,10
cq-T`;}0`*vf Group Cb: 11,12
-W}qbyUFmF] q 然後再秤, 如一樣, 即13為較輕一粒.
/j3{l"S M+r
2al;y$ZbI 如不同, 即較輕一組有一粒較輕波子在其中,
xj;G!u+Cp7u+z} 要再秤, Round 3, 之後便知答案.I `\ O-]kC

W_Mj8b5uF!OM5? e.g. #1 假設10為較輕的一粒vF @6tJSF
Round 1
K~,mb^UZN` 1,2,3,4 vs 5,6,7,8 = equal
HS0l-Z%[6oEj &Qy wEI6Ef
Round 2 Qg7t&Y'^_X G
9,10 vs 11,12 = 9,10 < 11,12/e$qG/heT

j]I uJcWRTiH&{;l Round 3 W2_c,g~+`Ir
9 vs 10 = 9 > 10
p'~7gwf 0w9Q4|,w{4IN
The answer is 10.#htN!E1{O6|#i
+T-y9ML?$PA `~V M*H
e.g. #2 假設7為較輕的一粒,x!\S s g
Round 1
1P ]D @Dt6k 1,2,3,4 vs 5,6,7,8 = 1,2,3,4 > 5,6,7,8
k;d,H;DAKFbz i!WzK:BE4G5s
Round 2{N1K'|0BF4`fh5[
5,6 vs 7,8 = 5,6 > 7,8
]!OjfC1h+B J6s's &XtB'a(~9LH%]A
Round 3
1P,m\A y5C f;n Xz$N 7 vs 8 = 7 < 8
2{A2D:Gk0J!i 'nNa P&k
The answer is 7.
$Mq6Dh f g9X,d
`.G(_&ZL2Q:f+P1E e.g. #3 假設13為較輕的一粒3Qpo+YZ/^!} tY
Round 1
E/k eq(R]aP2Z 1,2,3,4 vs 5,6,7,8 = equal
X6k5rSS p,O.~j Yc1}N
Round 2
_+~fJv8QjlVL 9,10 vs 11,12 = equalmM8^o(c,vhI2j @#h
6];o!X%@1X^9x{6F&Ce
No Round 3
V)v7rK+y&u1^ o0B~[B _Z7uJ
The answer is 13.[/color]
t1s%Uw5Tj
Gk*C:Wu0I7h/|%EB 唔知我答得正唔正確呢?! :agree:
lt&RU8w(q f["|c]:I? j
[[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:0SfK*L F(J#r9@
1.
X4M \2z*^ 1-6 vs 7-12
%x1D4E E!_O5J if 1-6 = 7-12     13 is fakey6O,Y-YXjoJ7p'[
0gLj.Yh"P
if not \/gk!yv]

wjn0a0a [color=Red]Weight the 2 time
'~ g krJ 6YWjK)m.x
Suppose 1-6> 7-127U"v+s3x,NH4VA
@H1x.RI9?;?i;h
1-3 vs 4-6 [/color]
+T)Pn3jH] r.A MQ/Y9zF+Uo
[color=Blue]Then Weight the Third*X!f`iYkmv'p
3.
:r.^_%I4H?~
,HMIQrx+Z#^ Suppose 4-6 > 1-3
\4xV2IxW-C6iC
BP9JDJ1]#O Just like the first Step
N(J\W*j]2N 2i?(Tsm}\
4 vs 5
+R@Bw'U? Ny
i%TN5h2yMJ if 4=5 6 is the fake one
d&l[Y/B:W
b4P S$Ep:oq if 4>5  4 is the fake one [/color]
Px9hq%x-p2~Wr and so on...................... [/quote]*o%eA _`(h

a~swW eB
~qaq8f eBL [color=Red]問題第二步[/color]
| wA fUV 2CCP? i6h&M K
Weight 1:  1-6> 7-12
w%N*t"|'y6^_$}^ etG2f}'D,{`
Weight 2:  1-3 vs 4-6 ,[color=Red][size=4] if 1-3 = 4-6[/size][/color]
'I%}Iv^U6\)Gs `j
1W+x(eD S_ 你第三步点去搵 7-12 边一粒???7Npb/X:E3R-l

)W\o&usa1C ========================================
f1sBX?c n-t cC)Z
"j;i"b,uiD&Z!T [color=Blue]問題第三步[/color]
3E'k\n+^#d*[-UcZ
!j7PTs3D8R(A9G[ Weight 1:  1-6> 7-12
V|/j*U2D"u,P
s HJ9m e3n0} Weight 2:  4-6 > 1-3
*pJF1t"i !m|m0X+p)l
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:)E J8ef,}9x n$x&f B

&Q"JdTvz4Y
M Q bF5F6^[ 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]
F~0d,l1zR)g
f/KAlIaU N 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,~#I]%a}J7F \
駛唔駛連輕左或重左都要知?
D'Vo V6Wu/PA 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 ~
S:Dbk.z'Pq#tn4k 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:2|D \9F s2s,?'r
playplay,!z6XD+kl:^-F
駛唔駛連輕左或重左都要知?
5Y!_1j{e A{%O 12粒就可以,13粒...... [/quote]
Oo*YD4WC&L1^%G
]C#Q'Sg 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:)}!BMO H]2|0j(H

a3u BE*NjE,^ A$M 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:d*E)jlq^;H8p*~6@
[color=White]分3組4隻波子秤R fvB/cn

+`Q F$y^|CxMD^6E Grou... [/quote]
y`7R0{ro(B 6Cr'C_.VBB t*Z:WM
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:
pIU0OF:q (xd#DCV,M@1Ik
2XV#yH.w8m|M
我邊夠IQ玩,加分我就識(加分唔洗用腦架:dev::P) [/quote]+K&Mc7p(W2f)i2[|F

"I@4RW?C 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:
j p3t}0q U8rXf,JJF
kd-M P:h
頑童俱樂部  #64580 :confused: ok 嗎??? [/quote]
yK~+H3f4B
/k {8r^5\k5lz5@ 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...
%}9k.P{)KV6w;m ?'Y)G0y"aE+D Iv
[color=White]先將13粒波子分為5份….姑且叫佢地做A,B,C,D及E…
!Fql c~s},it A,B,C,D四份都係3粒波子…..最後E果份就係1粒波子….)n&y\z B7k
咁果一粒當然一定晌A,B,C,D,E果五份是但一份到….9EO9gi%\-@h[*l!b2fu
| JaN o;jP
先假設果一粒晌E果份到…..咁就簡單….
1[YuP bJwd[-`"b 先磅A同B….大家都會係一樣(第一次磅)…. aA)A+GaX
跟手磅C同D….大家亦都會係一樣….(第二次磅)…
"nr'K.L)juC-l 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)…
ec-uL8o.E*{9?~ 咁樣就證明左A=B=C=D…咁果粒當然就係E啦…..
dl Q `!H;V5O
6ljE [7k1Xj;V 世事當然唔會咁簡單…..如果果粒唔同既晌A/B/C/D度又點???
|)~.\:I4dC*wbM 假設佢晌A度…..
]Ow {VW t$h 先磅A同B….A對比B會係輕d/重d…(第一次磅)….
e6P~!I)z-z;v|N 跟手磅C同D….大家都會係一樣….(第二次磅)…
E5F;}*l$~U'S5f 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…..
)v LVk!JcD1Lu Y1@h 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……….
sg u*_E ?5O }
)ZuAhY e+c5g$y 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)…
QZYC5Dra $Tqv\Xc
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?
!uF&xm @8u 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:
k0k"SG}o)lE^ 做完,可唔可以scan圖,點隱藏圖?
V1QiN ~$M$t9h Y 有排打. [/quote],W/| vx5x/T

#{7F$p.hhB 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:
2f(WS}8GU!o&P
/lLH yv Bj
e!@ n*jgf 世事當然唔會咁簡單…..如果果粒唔同既晌A/B/C/D度又點???
JJqB#?o ID3C [color=Red]假設佢晌A度…..[/color]
8n{9QC6\8@v g`7@ 先磅A同B….A對比B會係輕d/重d…(第一次磅)….
(h8_0^v Sz&n2fw 跟手磅C同D….大家都會係一樣….(第二次磅)…
eL'Lp0@pa0o6w@ 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…..-\d*Lr/Wx
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……….
Pb2ARx&n#@-x
x#yplZe#| 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)…
H0h)j#z:\.} l
f4q1O!g(Ry? 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]pant R8{6eQ
*hZ%yH^
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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