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[数论] 小奥来了,重排列后的差

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realnumber Posted 2018-3-31 12:45 |Read mode
3位无重复数字的自然数a,这三个数字重新排列得到的一个最大三位数和最小三位数,两数相减得到b,重复这个过程,..,最后这个数是?
若a=134,431-134=297,972-279=693,963-369=594,954-459=495结束.


以上改为4位数为7641-1467=6174
又2,5位数时,是循环,如下21-12=9,90-9=81,81-18=63,63-36=27,72-27=45,54-45=9

问题是并没有检验所有的三位数,难道编程?

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kuing Posted 2018-3-31 13:35

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