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将一个数各个数位上的数字相加得到的数,与原数模9同余
例:
356=14=5(mod9)
3+5+6=14, 1+4=5
例:
26647=25=7(mod9)
2+6+6+4+7=25, 2+5=7
这是理科生的数论老把戏了。我以前也算不少玩过这招。
所以思路一开始往数论那方面走的时候第一个就是怀疑“模9同余”,很幸运地,中了。