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[IT 交流] 987654321九位数中间加加减号等于10

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发表于 2013-2-22 00:57:04 | |阅读模式

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本帖最后由 憨吃迷糊睡 于 2013-4-3 15:41 编辑

9-----8----7-----6-----5-----4----3----2-----1九位数中间加加减号等于10

发表于 2013-2-22 10:13:51 |
会数学的都知道,此题无解。你这是在考大家智商么?
发表于 2013-2-22 11:36:23 |
我承认我蛋疼了..

9+8+7+6+5+4+3+2+1 = 45
9+8+7+6+5+4+3+2-1 = 43
9+8+7+6+5+4+3-2+1 = 41
9+8+7+6+5+4+3-2-1 = 39
9+8+7+6+5+4-3+2+1 = 39
9+8+7+6+5+4-3+2-1 = 37
9+8+7+6+5+4-3-2+1 = 35
9+8+7+6+5+4-3-2-1 = 33
9+8+7+6+5-4+3+2+1 = 37
9+8+7+6+5-4+3+2-1 = 35
9+8+7+6+5-4+3-2+1 = 33
9+8+7+6+5-4+3-2-1 = 31
9+8+7+6+5-4-3+2+1 = 31
9+8+7+6+5-4-3+2-1 = 29
9+8+7+6+5-4-3-2+1 = 27
9+8+7+6+5-4-3-2-1 = 25
9+8+7+6-5+4+3+2+1 = 35
9+8+7+6-5+4+3+2-1 = 33
9+8+7+6-5+4+3-2+1 = 31
9+8+7+6-5+4+3-2-1 = 29
9+8+7+6-5+4-3+2+1 = 29
9+8+7+6-5+4-3+2-1 = 27
9+8+7+6-5+4-3-2+1 = 25
9+8+7+6-5+4-3-2-1 = 23
9+8+7+6-5-4+3+2+1 = 27
9+8+7+6-5-4+3+2-1 = 25
9+8+7+6-5-4+3-2+1 = 23
9+8+7+6-5-4+3-2-1 = 21
9+8+7+6-5-4-3+2+1 = 21
9+8+7+6-5-4-3+2-1 = 19
9+8+7+6-5-4-3-2+1 = 17
9+8+7+6-5-4-3-2-1 = 15
9+8+7-6+5+4+3+2+1 = 33
9+8+7-6+5+4+3+2-1 = 31
9+8+7-6+5+4+3-2+1 = 29
9+8+7-6+5+4+3-2-1 = 27
9+8+7-6+5+4-3+2+1 = 27
9+8+7-6+5+4-3+2-1 = 25
9+8+7-6+5+4-3-2+1 = 23
9+8+7-6+5+4-3-2-1 = 21
9+8+7-6+5-4+3+2+1 = 25
9+8+7-6+5-4+3+2-1 = 23
9+8+7-6+5-4+3-2+1 = 21
9+8+7-6+5-4+3-2-1 = 19
9+8+7-6+5-4-3+2+1 = 19
9+8+7-6+5-4-3+2-1 = 17
9+8+7-6+5-4-3-2+1 = 15
9+8+7-6+5-4-3-2-1 = 13
9+8+7-6-5+4+3+2+1 = 23
9+8+7-6-5+4+3+2-1 = 21
9+8+7-6-5+4+3-2+1 = 19
9+8+7-6-5+4+3-2-1 = 17
9+8+7-6-5+4-3+2+1 = 17
9+8+7-6-5+4-3+2-1 = 15
9+8+7-6-5+4-3-2+1 = 13
9+8+7-6-5+4-3-2-1 = 11
9+8+7-6-5-4+3+2+1 = 15
9+8+7-6-5-4+3+2-1 = 13
9+8+7-6-5-4+3-2+1 = 11
9+8+7-6-5-4+3-2-1 = 9
9+8+7-6-5-4-3+2+1 = 9
9+8+7-6-5-4-3+2-1 = 7
9+8+7-6-5-4-3-2+1 = 5
9+8+7-6-5-4-3-2-1 = 3
9+8-7+6+5+4+3+2+1 = 31
9+8-7+6+5+4+3+2-1 = 29
9+8-7+6+5+4+3-2+1 = 27
9+8-7+6+5+4+3-2-1 = 25
9+8-7+6+5+4-3+2+1 = 25
9+8-7+6+5+4-3+2-1 = 23
9+8-7+6+5+4-3-2+1 = 21
9+8-7+6+5+4-3-2-1 = 19
9+8-7+6+5-4+3+2+1 = 23
9+8-7+6+5-4+3+2-1 = 21
9+8-7+6+5-4+3-2+1 = 19
9+8-7+6+5-4+3-2-1 = 17
9+8-7+6+5-4-3+2+1 = 17
9+8-7+6+5-4-3+2-1 = 15
9+8-7+6+5-4-3-2+1 = 13
9+8-7+6+5-4-3-2-1 = 11
9+8-7+6-5+4+3+2+1 = 21
9+8-7+6-5+4+3+2-1 = 19
9+8-7+6-5+4+3-2+1 = 17
9+8-7+6-5+4+3-2-1 = 15
9+8-7+6-5+4-3+2+1 = 15
9+8-7+6-5+4-3+2-1 = 13
9+8-7+6-5+4-3-2+1 = 11
9+8-7+6-5+4-3-2-1 = 9
9+8-7+6-5-4+3+2+1 = 13
9+8-7+6-5-4+3+2-1 = 11
9+8-7+6-5-4+3-2+1 = 9
9+8-7+6-5-4+3-2-1 = 7
9+8-7+6-5-4-3+2+1 = 7
9+8-7+6-5-4-3+2-1 = 5
9+8-7+6-5-4-3-2+1 = 3
9+8-7+6-5-4-3-2-1 = 1
9+8-7-6+5+4+3+2+1 = 19
9+8-7-6+5+4+3+2-1 = 17
9+8-7-6+5+4+3-2+1 = 15
9+8-7-6+5+4+3-2-1 = 13
9+8-7-6+5+4-3+2+1 = 13
9+8-7-6+5+4-3+2-1 = 11
9+8-7-6+5+4-3-2+1 = 9
9+8-7-6+5+4-3-2-1 = 7
9+8-7-6+5-4+3+2+1 = 11
9+8-7-6+5-4+3+2-1 = 9
9+8-7-6+5-4+3-2+1 = 7
9+8-7-6+5-4+3-2-1 = 5
9+8-7-6+5-4-3+2+1 = 5
9+8-7-6+5-4-3+2-1 = 3
9+8-7-6+5-4-3-2+1 = 1
9+8-7-6+5-4-3-2-1 = -1
9+8-7-6-5+4+3+2+1 = 9
9+8-7-6-5+4+3+2-1 = 7
9+8-7-6-5+4+3-2+1 = 5
9+8-7-6-5+4+3-2-1 = 3
9+8-7-6-5+4-3+2+1 = 3
9+8-7-6-5+4-3+2-1 = 1
9+8-7-6-5+4-3-2+1 = -1
9+8-7-6-5+4-3-2-1 = -3
9+8-7-6-5-4+3+2+1 = 1
9+8-7-6-5-4+3+2-1 = -1
9+8-7-6-5-4+3-2+1 = -3
9+8-7-6-5-4+3-2-1 = -5
9+8-7-6-5-4-3+2+1 = -5
9+8-7-6-5-4-3+2-1 = -7
9+8-7-6-5-4-3-2+1 = -9
9+8-7-6-5-4-3-2-1 = -11
9-8+7+6+5+4+3+2+1 = 29
9-8+7+6+5+4+3+2-1 = 27
9-8+7+6+5+4+3-2+1 = 25
9-8+7+6+5+4+3-2-1 = 23
9-8+7+6+5+4-3+2+1 = 23
9-8+7+6+5+4-3+2-1 = 21
9-8+7+6+5+4-3-2+1 = 19
9-8+7+6+5+4-3-2-1 = 17
9-8+7+6+5-4+3+2+1 = 21
9-8+7+6+5-4+3+2-1 = 19
9-8+7+6+5-4+3-2+1 = 17
9-8+7+6+5-4+3-2-1 = 15
9-8+7+6+5-4-3+2+1 = 15
9-8+7+6+5-4-3+2-1 = 13
9-8+7+6+5-4-3-2+1 = 11
9-8+7+6+5-4-3-2-1 = 9
9-8+7+6-5+4+3+2+1 = 19
9-8+7+6-5+4+3+2-1 = 17
9-8+7+6-5+4+3-2+1 = 15
9-8+7+6-5+4+3-2-1 = 13
9-8+7+6-5+4-3+2+1 = 13
9-8+7+6-5+4-3+2-1 = 11
9-8+7+6-5+4-3-2+1 = 9
9-8+7+6-5+4-3-2-1 = 7
9-8+7+6-5-4+3+2+1 = 11
9-8+7+6-5-4+3+2-1 = 9
9-8+7+6-5-4+3-2+1 = 7
9-8+7+6-5-4+3-2-1 = 5
9-8+7+6-5-4-3+2+1 = 5
9-8+7+6-5-4-3+2-1 = 3
9-8+7+6-5-4-3-2+1 = 1
9-8+7+6-5-4-3-2-1 = -1
9-8+7-6+5+4+3+2+1 = 17
9-8+7-6+5+4+3+2-1 = 15
9-8+7-6+5+4+3-2+1 = 13
9-8+7-6+5+4+3-2-1 = 11
9-8+7-6+5+4-3+2+1 = 11
9-8+7-6+5+4-3+2-1 = 9
9-8+7-6+5+4-3-2+1 = 7
9-8+7-6+5+4-3-2-1 = 5
9-8+7-6+5-4+3+2+1 = 9
9-8+7-6+5-4+3+2-1 = 7
9-8+7-6+5-4+3-2+1 = 5
9-8+7-6+5-4+3-2-1 = 3
9-8+7-6+5-4-3+2+1 = 3
9-8+7-6+5-4-3+2-1 = 1
9-8+7-6+5-4-3-2+1 = -1
9-8+7-6+5-4-3-2-1 = -3
9-8+7-6-5+4+3+2+1 = 7
9-8+7-6-5+4+3+2-1 = 5
9-8+7-6-5+4+3-2+1 = 3
9-8+7-6-5+4+3-2-1 = 1
9-8+7-6-5+4-3+2+1 = 1
9-8+7-6-5+4-3+2-1 = -1
9-8+7-6-5+4-3-2+1 = -3
9-8+7-6-5+4-3-2-1 = -5
9-8+7-6-5-4+3+2+1 = -1
9-8+7-6-5-4+3+2-1 = -3
9-8+7-6-5-4+3-2+1 = -5
9-8+7-6-5-4+3-2-1 = -7
9-8+7-6-5-4-3+2+1 = -7
9-8+7-6-5-4-3+2-1 = -9
9-8+7-6-5-4-3-2+1 = -11
9-8+7-6-5-4-3-2-1 = -13
9-8-7+6+5+4+3+2+1 = 15
9-8-7+6+5+4+3+2-1 = 13
9-8-7+6+5+4+3-2+1 = 11
9-8-7+6+5+4+3-2-1 = 9
9-8-7+6+5+4-3+2+1 = 9
9-8-7+6+5+4-3+2-1 = 7
9-8-7+6+5+4-3-2+1 = 5
9-8-7+6+5+4-3-2-1 = 3
9-8-7+6+5-4+3+2+1 = 7
9-8-7+6+5-4+3+2-1 = 5
9-8-7+6+5-4+3-2+1 = 3
9-8-7+6+5-4+3-2-1 = 1
9-8-7+6+5-4-3+2+1 = 1
9-8-7+6+5-4-3+2-1 = -1
9-8-7+6+5-4-3-2+1 = -3
9-8-7+6+5-4-3-2-1 = -5
9-8-7+6-5+4+3+2+1 = 5
9-8-7+6-5+4+3+2-1 = 3
9-8-7+6-5+4+3-2+1 = 1
9-8-7+6-5+4+3-2-1 = -1
9-8-7+6-5+4-3+2+1 = -1
9-8-7+6-5+4-3+2-1 = -3
9-8-7+6-5+4-3-2+1 = -5
9-8-7+6-5+4-3-2-1 = -7
9-8-7+6-5-4+3+2+1 = -3
9-8-7+6-5-4+3+2-1 = -5
9-8-7+6-5-4+3-2+1 = -7
9-8-7+6-5-4+3-2-1 = -9
9-8-7+6-5-4-3+2+1 = -9
9-8-7+6-5-4-3+2-1 = -11
9-8-7+6-5-4-3-2+1 = -13
9-8-7+6-5-4-3-2-1 = -15
9-8-7-6+5+4+3+2+1 = 3
9-8-7-6+5+4+3+2-1 = 1
9-8-7-6+5+4+3-2+1 = -1
9-8-7-6+5+4+3-2-1 = -3
9-8-7-6+5+4-3+2+1 = -3
9-8-7-6+5+4-3+2-1 = -5
9-8-7-6+5+4-3-2+1 = -7
9-8-7-6+5+4-3-2-1 = -9
9-8-7-6+5-4+3+2+1 = -5
9-8-7-6+5-4+3+2-1 = -7
9-8-7-6+5-4+3-2+1 = -9
9-8-7-6+5-4+3-2-1 = -11
9-8-7-6+5-4-3+2+1 = -11
9-8-7-6+5-4-3+2-1 = -13
9-8-7-6+5-4-3-2+1 = -15
9-8-7-6+5-4-3-2-1 = -17
9-8-7-6-5+4+3+2+1 = -7
9-8-7-6-5+4+3+2-1 = -9
9-8-7-6-5+4+3-2+1 = -11
9-8-7-6-5+4+3-2-1 = -13
9-8-7-6-5+4-3+2+1 = -13
9-8-7-6-5+4-3+2-1 = -15
9-8-7-6-5+4-3-2+1 = -17
9-8-7-6-5+4-3-2-1 = -19
9-8-7-6-5-4+3+2+1 = -15
9-8-7-6-5-4+3+2-1 = -17
9-8-7-6-5-4+3-2+1 = -19
9-8-7-6-5-4+3-2-1 = -21
9-8-7-6-5-4-3+2+1 = -21
9-8-7-6-5-4-3+2-1 = -23
9-8-7-6-5-4-3-2+1 = -25
9-8-7-6-5-4-3-2-1 = -27
 楼主| 发表于 2013-2-22 15:08:30 |
对不住大家,孩子学校4年级的寒假题,我也算了3个多小时
发表于 2013-4-3 15:34:55 |
9 - 8 - 76 + 54 + 32 - 1 = 10

迷糊也放寒假了,呵呵,不知道现在的回复是否还有意义

如果老师说不对,也要告诉孩子,其实一道题有很多种解法,不必要拘泥于答案,关键在于如何思维
发表于 2013-4-3 23:14:06 |
本帖最后由 憨吃迷糊睡 于 2013-4-3 23:18 编辑

根据题目不允许使用括号,用JAVA程序遍历了所有情况,得出只有下面四种可能的答案

9+8-76+5+43+21=10
9-8-7-6-5-4+32-1=10
9-8-76+54+32-1=10
98-7+6-54-32-1=10

完整的程序放在技术交流版的谷歌代码库里了,感兴趣的版友可以参考
如果发现问题请和迷糊联系

代码保存场所:http://code.google.com/p/xiaochu ... _To_10.zip&can=2&q=

下午迷糊给出的答案是用脑袋想出来的
如果楼主回复的话,迷糊将详细解释如何给四年级的小童鞋说明清楚,让他/她能够理解的方法解题
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