真是聰明啊！ 
∵２０以下的質數有８個２，３，５，７，１１，１３，１７，１９
根據規則２和３，１號袋子一定是魔王的。
∴我們頂多只可以拿１個質數袋子，當然要拿１９。
那１１，１３，１７鐵定拿不到了
∴（２０－３）÷２＝８.... 1
所以阿里巴巴最多只能拿８個袋子，魔王會多１個袋子。
此時１０以上（包含１０）的袋子
有１０，１２，１４，１６，１５，１８，１９，２０共８個袋子
全部都拿到便是最多。不可能再更多了。
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由 J+W 於 星期六 四月 29, 2006 4:20 pm
真是聰明啊！ ∵２０以下的質數有８個２，３，５，７，１１，１３，１７，１９
根據規則２和３，１號袋子一定是魔王的。
∴我們頂多只可以拿１個質數袋子，當然要拿１９。
那１１，１３，１７鐵定拿不到了
∴（２０－３）÷２＝８.... 1
所以阿里巴巴最多只能拿８個袋子，魔王會多１個袋子。
此時１０以上（包含１０）的袋子
有１０，１２，１４，１６，１５，１８，１９，２０共８個袋子
全部都拿到便是最多。不可能再更多了。
由 bell 於 星期六 四月 29, 2006 8:02 am
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FONT-FAMILY: 新細明體; mso-bidi-font-size: 12.0pt"#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 10pt; FONT-FAMILY: 新細明體; mso-bidi-font-size: 12.0pt"#ed_cl# #ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="MARGIN: 0cm 0cm 0pt"#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 10pt; FONT-FAMILY: 新細明體; mso-bidi-font-size: 12.0pt"#ed_cl# １２４枚。#ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P class=MsoNormal style="TEXT-JUSTIFY: inter-ideograph; MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: justify"#ed_cl##ed_op#EM#ed_cl##ed_op#SPAN style="FONT-SIZE: 10pt; COLOR: #464646; FONT-FAMILY: 新細明體; mso-bidi-font-size: 7.5pt; mso-bidi-font-family: Tahoma"#ed_cl#阿里巴巴#ed_op#/SPAN#ed_cl##ed_op#/EM#ed_cl##ed_op#SPAN style="FONT-SIZE: 10pt; COLOR: #464646; FONT-FAMILY: 新細明體; mso-bidi-font-size: 7.5pt; mso-bidi-font-family: Tahoma"#ed_cl# #ed_op#EM#ed_cl#魔 王#ed_op#/EM#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 10pt; 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COLOR: #464646; FONT-FAMILY: 新細明體; mso-bidi-font-size: 7.5pt; mso-bidi-font-family: Tahoma"#ed_cl# #ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 10pt; COLOR: #464646; FONT-FAMILY: 新細明體; mso-bidi-font-family: Tahoma"#ed_cl##ed_op#BR#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 10pt; COLOR: #464646; FONT-FAMILY: 新細明體; mso-bidi-font-size: 7.5pt; mso-bidi-font-family: Tahoma"#ed_cl##ed_op#SPAN style="mso-spacerun: yes"#ed_cl# #ed_op#/SPAN#ed_cl# ８６#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 10pt; FONT-FAMILY: 新細明體; mso-bidi-font-size: 12.0pt"#ed_cl##ed_op#o:p#ed_cl##ed_op#/o:p#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/P#ed_cl##ed_op#P#ed_cl##ed_op#/SPAN#ed_cl##ed_op#P#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/FONT#ed_cl##ed_op#/P#ed_cl##ed_op#/FONT#ed_cl##ed_op#/SPAN#ed_cl##ed_op#P#ed_cl##ed_op#/P#ed_cl##ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#/DIV#ed_cl#J+W 寫到:首先歡迎妳回來！很高興看到妳呢！#ed_op#BR#ed_cl##ed_op#BR#ed_cl#其次，魔王還能多些，因為#ed_op#BR#ed_cl#規則三：當你沒辦法再拿袋子時，剩下的袋子都是魔王的#ed_op#BR#ed_cl##ed_op#BR#ed_cl#第三：１２１不是最多，還能再多一點。
由 J+W 於 星期六 四月 29, 2006 2:45 am
首先歡迎妳回來！很高興看到妳呢！
其次，魔王還能多些，因為
規則三：當你沒辦法再拿袋子時，剩下的袋子都是魔王的
第三：１２１不是最多，還能再多一點。
其次，魔王還能多些，因為
規則三：當你沒辦法再拿袋子時，剩下的袋子都是魔王的
第三：１２１不是最多，還能再多一點。
由 bell 於 星期六 四月 29, 2006 1:36 am
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MARGIN: 0cm 0cm 0pt; TEXT-ALIGN: justify"#ed_cl##ed_op#SPAN style="FONT-SIZE: 12pt; COLOR: #464646; FONT-FAMILY: 新細明體; mso-bidi-font-size: 10.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-ascii-font-family: Tahoma; mso-hansi-font-family: Tahoma; mso-bidi-font-family: Tahoma"#ed_cl#阿里巴巴 魔 王#ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 12pt; COLOR: #464646; FONT-FAMILY: Tahoma; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: 新細明體; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl##ed_op#BR#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 12pt; COLOR: #464646; FONT-FAMILY: 新細明體; mso-bidi-font-size: 10.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-ascii-font-family: Tahoma; mso-hansi-font-family: Tahoma; mso-bidi-font-family: Tahoma"#ed_cl# １９ １ #ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 12pt; 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mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-ascii-font-family: Tahoma; mso-hansi-font-family: Tahoma; mso-bidi-font-family: Tahoma"#ed_cl# １５ ５ #ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 12pt; COLOR: #464646; FONT-FAMILY: Tahoma; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: 新細明體; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl##ed_op#BR#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 12pt; COLOR: #464646; FONT-FAMILY: 新細明體; mso-bidi-font-size: 10.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-ascii-font-family: Tahoma; mso-hansi-font-family: Tahoma; mso-bidi-font-family: Tahoma"#ed_cl# １０ ２ #ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 12pt; COLOR: #464646; FONT-FAMILY: Tahoma; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: 新細明體; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; 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mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-ascii-font-family: Tahoma; mso-hansi-font-family: Tahoma; mso-bidi-font-family: Tahoma"#ed_cl##ed_op#U#ed_cl# １４ #ed_op#/U#ed_cl# #ed_op#U#ed_cl##ed_op#EM#ed_cl# #ed_op#/EM#ed_cl#７#ed_op#/U#ed_cl# #ed_op#/SPAN#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 12pt; COLOR: #464646; FONT-FAMILY: Tahoma; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: 新細明體; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl##ed_op#BR#ed_cl##ed_op#SPAN style="mso-spacerun: yes"#ed_cl# #ed_op#/SPAN#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 12pt; COLOR: #464646; FONT-FAMILY: 新細明體; mso-bidi-font-size: 10.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-ascii-font-family: Tahoma; mso-hansi-font-family: Tahoma; mso-bidi-font-family: Tahoma"#ed_cl#１２１ ３６#ed_op#/SPAN#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/SPAN#ed_cl##ed_op#SPAN style="FONT-SIZE: 12pt; COLOR: #464646; FONT-FAMILY: 新細明體; mso-bidi-font-size: 10.0pt; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA; mso-ascii-font-family: Tahoma; mso-hansi-font-family: Tahoma; mso-bidi-font-family: Tahoma"#ed_cl##ed_op#SPAN lang=EN-US style="FONT-SIZE: 12pt; COLOR: #464646; FONT-FAMILY: Tahoma; mso-bidi-font-size: 10.0pt; mso-fareast-font-family: 新細明體; mso-font-kerning: 1.0pt; mso-ansi-language: EN-US; mso-fareast-language: ZH-TW; mso-bidi-language: AR-SA"#ed_cl##ed_op#BR style="mso-special-character: line-break"#ed_cl##ed_op#/P#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/SPAN#ed_cl##ed_op#/SPAN#ed_cl##ed_op#DIV#ed_cl##ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl##ed_op#/DIV#ed_cl#kai 寫到:#ed_op#DIV#ed_cl#121
由 kai 於 星期五 四月 28, 2006 10:14 pm
#ed_op#DIV#ed_cl#121 #ed_op#/DIV#ed_cl#
由 J+W 於 星期五 四月 28, 2006 10:03 pm
獨孤自在 寫到:次數 我 魔王
一 19 1
二 4 2
三 12 3
四 15 5
五 20 10
六 16 8
七 14 7
八 18 6,9
最多可得一百一十八個金幣！
還能更多一些！
由 kai 於 星期五 四月 28, 2006 9:21 pm
#ed_op#DIV#ed_cl#忘了20和18#ed_op#/DIV#ed_cl#
由 獨孤自在 於 星期五 四月 28, 2006 8:29 pm
次數 我 魔王
一 19 1
二 4 2
三 12 3
四 15 5
五 20 10
六 16 8
七 14 7
八 18 6,9
最多可得一百一十八個金幣！
一 19 1
二 4 2
三 12 3
四 15 5
五 20 10
六 16 8
七 14 7
八 18 6,9
最多可得一百一十八個金幣！
由 kai 於 星期五 四月 28, 2006 6:43 pm
#ed_op#DIV#ed_cl#拿了以後他必可拿1，所以第一次拿質數，質數只能拿1個，拿19 他 1#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#質數都是他的，剩 4 6 8 9 10 12 14 15 16 18#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#拿4 他2 不浪費#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#14 7 #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#10 5#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#15 3 #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#剩 6 8 9 12 16可拿 6 8 9不能拿#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#拿12 6 #ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#16 8 共#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl#19+4+14+10+15+12+16=90個#ed_op#/DIV#ed_cl##ed_op#DIV#ed_cl# #ed_op#/DIV#ed_cl#
由 屎坑中的妖物 於 星期五 四月 28, 2006 5:48 pm
規則二：你不可以拿你拿了以後魔王就不可以拿的袋子
例如當1號袋子已經被拿走時，輪到你拿時你就不可以拿3號袋子
所以1不可以拿...
質數:1,2,3,5,7,11,13,17,19
不是質數:4,6,8,9,10,12,14,15,16,18,20
質數只能拿1個(而且不能是1)
我 魔王
11 1
4 2
6 3
10 5
14 7
16 8
18 9 只能拿到7個...好像少了點...
例如當1號袋子已經被拿走時，輪到你拿時你就不可以拿3號袋子
所以1不可以拿...
質數:1,2,3,5,7,11,13,17,19
不是質數:4,6,8,9,10,12,14,15,16,18,20
質數只能拿1個(而且不能是1)
我 魔王
11 1
4 2
6 3
10 5
14 7
16 8
18 9 只能拿到7個...好像少了點...
由 piny 於 星期五 四月 28, 2006 4:33 pm
從小號開始拿，第一次拿一號，第二次拿二號....
所以可以全拿
所以可以全拿
由 J+W 於 星期五 四月 28, 2006 3:40 pm
屎坑中的妖物 寫到:例如你拿10號袋子，魔王就可以拿1號袋，2號袋和5號袋
那麼他是否可以全部拿走還是只能拿走其中一個?
全部拿走！
貪心的魔王！
由 屎坑中的妖物 於 星期五 四月 28, 2006 2:54 pm
例如你拿10號袋子，魔王就可以拿1號袋，2號袋和5號袋
那麼他是否可以全部拿走還是只能拿走其中一個?
那麼他是否可以全部拿走還是只能拿走其中一個?
[鬥智]阿里巴巴智勝魔王
由 J+W 於 星期五 四月 28, 2006 2:41 pm
有20個袋子，分別編號1~20
每個袋子中裝有跟他編號一樣多的金幣
你是阿里巴巴，要跟魔王比賽拿袋子
規則一：遊戲開始時你先拿，每次只能拿一個
你拿了之後魔王可以拿你所拿袋子編號的因數的袋子
例如你拿10號袋子，魔王就可以拿1號袋，2號袋和5號袋
規則二：你不可以拿你拿了以後魔王就不可以拿的袋子
例如當1號袋子已經被拿走時，輪到你拿時你就不可以拿3號袋子
規則三：當你沒辦法再拿袋子時，剩下的袋子都是魔王的
請問：最多你可以得到多少金幣？
請將推理過程打出來給大家分享,這不是很棒嗎?
每個袋子中裝有跟他編號一樣多的金幣
你是阿里巴巴，要跟魔王比賽拿袋子
規則一：遊戲開始時你先拿，每次只能拿一個
你拿了之後魔王可以拿你所拿袋子編號的因數的袋子
例如你拿10號袋子，魔王就可以拿1號袋，2號袋和5號袋
規則二：你不可以拿你拿了以後魔王就不可以拿的袋子
例如當1號袋子已經被拿走時，輪到你拿時你就不可以拿3號袋子
規則三：當你沒辦法再拿袋子時，剩下的袋子都是魔王的
請問：最多你可以得到多少金幣？
請將推理過程打出來給大家分享,這不是很棒嗎?