← RoseCode

ROSECODE 223

P-自守数

P-automorphic numbers

Philippe_57721 · 编程 ·

一个数字是 p-自守 如果它的 p 次方的最后一位数字是数字本身。

例如 68751 是一个 3 自守数:
68751^3 = 324965351768751

有 10 10 位 6 自守数:
  • 1787109376^6 =        32576678364650828374994886894920831594093799601787109376
  • 2000000001^6 =        64000000192000000240000000160000000060000000012000000001
  • 3787109376^6 = 2950170318650991258032575341918572870335539112113787109376
  • 4000000001^6 = 4096000006144000003840000001280000000240000000024000000001
  • 5787109376^6 = 37563853963345670599003034369316678034196984424625787109376
  • 6000000001^6 = 46656000046656000019440000004320000000540000000036000000001
  • 7787109376^6 = 222975757734371332908041996970049236323178429737137787109376
  • 8000000001^6 = 262144000196608000061440000010240000000960000000048000000001
  • 8212890625^6 = 306885405287085842075678332463439801358617842197418212890625
  • 9787109376^6 = 878874068949224372247665088145076247737279875049649787109376

有多少个 50 位 73 自守数?

答案格式:计数、总和

示例:10,57148437509 // 对于 10-数字 6-自守数。

[我的时间:3 秒]