排它平方数 - 永不冷�龅娜松�



排它平方数 - 永不冷�龅娜松�

小明正看着 203879 这个数字发呆。 原来,203879 * 203879 = 41566646641这有什么神奇呢?仔细观察,203879 是个6位数,并且它的每个数位上的数字都是不同的,并且它平方后的所有数位上都不出现组成它自身的数字。具有这样特点的6位数还有一个,请你找出它!

再归纳一下筛选要求:

  1. 6位正整数
  2. 每个数位上的数字不同
  3. 其平方数的每个数位不含原数字的任何组成数位

答案是一个6位的正整数。


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