黑洞的颜色 发表于 2015-3-24 22:29:34

xlan1976 发表于 2015-3-24 08:03
第一个没想；
第二个是挪动3个吧；
第三个应该是9，首先-25的次方尾数肯定是5，6的次方尾数肯定是6。正数和 ...

这个说的对。我疏忽了。

黑洞的颜色 发表于 2015-3-24 22:30:17

黑洞的颜色 发表于 2015-3-23 22:22
Q6:
1

喜欢说的对，我疏忽了。

Highway 发表于 2015-3-24 23:55:17

本帖最后由 Highway 于 2015-3-25 00:03 编辑

第四题：
最小四位数：1204
最大四位数：1758
全部可能的四位数组合：128


如果愿意动脑筋的话，可以把1998改成2015，那么答案会是什么样呢？

喜欢 发表于 2015-3-25 02:22:22

Highway 发表于 2015-3-24 10:55
第四题：
最小四位数：1204
最大四位数：1758


嗯？你这128个可能性都是符合题意的答案吗？
比如，1204要加那些数得到1998呢？
如果不是，你这128个可能性有什么特征呢？

喜欢 发表于 2015-3-25 02:24:00

黑洞的颜色 发表于 2015-3-24 09:30
喜欢说的对，我疏忽了。

我也疏忽了，掉陷阱里了，还是个好陷阱。{:213:} 汗～

Highway 发表于 2015-3-25 08:41:23

喜欢 发表于 2015-3-25 02:22
嗯？你这128个可能性都是符合题意的答案吗？
比如，1204要加那些数得到1998呢？
如果不是，你这128个可能 ...

当然了，我还能蒙人吗。

不信你一个个试，假一罚十！

喜欢 发表于 2015-3-25 09:03:09

Highway 发表于 2015-3-24 19:41
当然了，我还能蒙人吗。

不信你一个个试，假一罚十！

哦，对。至少1204我能算出来了。
那么，你这是用电脑程序穷举出来的吧？
厉害！

Highway 发表于 2015-3-25 10:01:49

喜欢 发表于 2015-3-25 09:03
哦，对。至少1204我能算出来了。
那么，你这是用电脑程序穷举出来的吧？
厉害！ ...

写了七八行的程序，算是作弊吧。这种事儿自己想个算法出来，具体操作就交给电脑去干吧，它一秒钟能运行好几亿次呢，闲着也是闲着。

独角兽 发表于 2015-3-25 15:17:00

喜欢 发表于 2015-3-25 02:22
嗯？你这128个可能性都是符合题意的答案吗？
比如，1204要加那些数得到1998呢？
如果不是，你这128个可能 ...

喜欢gg，咱不用电脑。因为这三个数的个位，十位，百位都可以互换，得出的答案都是满足题目要求的。所以确定个位，十位 （各有三个）和百位的组合，就能得出一共有多少种解了。我做题的纸找不着了，所以现在也不知道是不是有且仅有128组解，但我选择相信轧叔的电脑了。{:189:}

Highway 发表于 2015-3-26 05:05:36

独角兽 发表于 2015-3-25 15:17
喜欢gg，咱不用电脑。因为这三个数的个位，十位，百位都可以互换，得出的答案都是满足题目要求的。所以确 ...

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514 ==>39 + 275 + 1684 = 1998
515 ==>75 + 239 + 1684 = 1998
516 ==>79 + 235 + 1684 = 1998
517 ==>34 + 279 + 1685 = 1998
518 ==>39 + 274 + 1685 = 1998
519 ==>40 + 273 + 1685 = 1998
520 ==>43 + 270 + 1685 = 1998
521 ==>70 + 243 + 1685 = 1998
522 ==>73 + 240 + 1685 = 1998
523 ==>74 + 239 + 1685 = 1998
524 ==>79 + 234 + 1685 = 1998
525 ==>34 + 275 + 1689 = 1998
526 ==>35 + 274 + 1689 = 1998
527 ==>74 + 235 + 1689 = 1998
528 ==>75 + 234 + 1689 = 1998
529 ==>47 + 258 + 1693 = 1998
530 ==>48 + 257 + 1693 = 1998
531 ==>57 + 248 + 1693 = 1998
532 ==>58 + 247 + 1693 = 1998
533 ==>43 + 258 + 1697 = 1998
534 ==>48 + 253 + 1697 = 1998
535 ==>53 + 248 + 1697 = 1998
536 ==>58 + 243 + 1697 = 1998
537 ==>43 + 257 + 1698 = 1998
538 ==>47 + 253 + 1698 = 1998
539 ==>53 + 247 + 1698 = 1998
540 ==>57 + 243 + 1698 = 1998
541 ==>36 + 258 + 1704 = 1998
542 ==>38 + 256 + 1704 = 1998
543 ==>56 + 238 + 1704 = 1998
544 ==>58 + 236 + 1704 = 1998
545 ==>34 + 258 + 1706 = 1998
546 ==>38 + 254 + 1706 = 1998
547 ==>54 + 238 + 1706 = 1998
548 ==>58 + 234 + 1706 = 1998
549 ==>34 + 256 + 1708 = 1998
550 ==>36 + 254 + 1708 = 1998
551 ==>54 + 236 + 1708 = 1998
552 ==>56 + 234 + 1708 = 1998
553 ==>06 + 258 + 1734 = 1998
554 ==>08 + 256 + 1734 = 1998
555 ==>56 + 208 + 1734 = 1998
556 ==>58 + 206 + 1734 = 1998
557 ==>04 + 258 + 1736 = 1998
558 ==>08 + 254 + 1736 = 1998
559 ==>54 + 208 + 1736 = 1998
560 ==>58 + 204 + 1736 = 1998
561 ==>04 + 256 + 1738 = 1998
562 ==>06 + 254 + 1738 = 1998
563 ==>54 + 206 + 1738 = 1998
564 ==>56 + 204 + 1738 = 1998
565 ==>06 + 238 + 1754 = 1998
566 ==>08 + 236 + 1754 = 1998
567 ==>36 + 208 + 1754 = 1998
568 ==>38 + 206 + 1754 = 1998
569 ==>04 + 238 + 1756 = 1998
570 ==>08 + 234 + 1756 = 1998
571 ==>34 + 208 + 1756 = 1998
572 ==>38 + 204 + 1756 = 1998
573 ==>04 + 236 + 1758 = 1998
574 ==>06 + 234 + 1758 = 1998
575 ==>34 + 206 + 1758 = 1998
576 ==>36 + 204 + 1758 = 1998

总共是576个答案，但是最后一个四位数字只有128种。

独角兽 发表于 2015-3-26 05:57:28

Highway 发表于 2015-3-26 05:05
1 ==>36 + 758 + 1204 = 1998
2 ==>38 + 756 + 1204 = 1998
3 ==>56 + 738 + 1204 = 1998


{:199:}怎么这么多？实际上我昨天晚上回完贴后精神来了。自己又搞了一遍。结果算得144组解，其中四位数128种跟轧叔是一样的。可是144和576也差太多了。。。。
就算04这种不算，也还是对不上呀，不开心。。。
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