4個6做加減乘除 - 推理遊戲

By Daph Bay
at 2008-12-24T01:38
at 2008-12-24T01:38
Table of Contents
假設只能用四個6、加減乘除和括號
那麼可以組合出來的結果討論如下
一個6
+6
-6
兩個6
+6+6=+12
+6-6=0
-6+6=0
-6-6=-12
(+6)*(+6)=+36
(+6)*(-6)=-36
(-6)*(+6)=-36
(-6)*(-6)=+36
(+6)/(+6)=+1
(+6)/(-6)=-1
(-6)/(+6)=-1
(-6)/(-6)=+1
兩個6可以組合出
0 ±1 ±12 ±36
三個6
(兩個6)±6=±5 ±6 ±7 ±18 ±30 ±42
(兩個6)*(±6)=0 ±6 ±72 ±216
(兩個6)/(±6)=0 ±1/6 ±2 ±6
(±6)/(兩個6)=±1/6 ±1/2 ±6
整理三個6的結果
0 ±1/6 ±1/2 ±2 ±5 ±6 ±7 ±18 ±30 ±42 ±72 ±216
四個6 (只留整數)
(三個6)±6=0 ±1 ±4 ±6 ±8 ±11 ±12 ±13 ±24 ±36
±48 ±66 ±78 ±210 ±222
(三個6)*(±6)=0 ±1 ±3 ±12 ±30 ±36 ±42 ±108
±180 ±252 ±432 ±1296
(三個6)/(±6)=0 ±1 ±3 ±5 ±7 ±12 ±36
(±6)/(三個6)=±1 ±3 ±12 ±36
(兩個6)±(兩個6)=0 ±1 ±2 ±11 ±12 ±13 ±24 ±35 ±36
±37 ±48 ±72
(兩個6)*(兩個6)=0 ±1 ±12 ±36 ±144 ±432 ±1296
(兩個6)/(兩個6)=0 ±1 ±3 ±12 ±36
整理四個6的運算結果
0 ±1 ±2 ±3 ±4 ±5 ±6 ±7 ±8 ±11 ±12 ±13 ±24 ±30 ±35
±36 ±37 ±42 ±48 ±66 ±72 ±78 ±108 ±144 ±180 ±210
±222 ±252 ±432 ±1296
所以結論就是
只靠四則運算沒辦法組合出9 10等等的數字
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Tags:
推理遊戲
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