yaworsw/euler-manager

---
:id: 284
:name: Steady Squares
:url: https://projecteuler.net/problem=284
:content: "The 3-digit number 376 in the decimal numbering system is an example of
  numbers with the special property that its square ends with the same digits: 376<sup>2</sup>
  = 141376. Let's call a number with this property a steady square.\n\nSteady squares
  can also be observed in other numbering systems. In the base 14 numbering system,
  the 3-digit number c37 is also a steady square: c37<sup>2</sup> = aa0c37, and the
  sum of its digits is c+3+7=18 in the same numbering system. The letters a, b, c
  and d are used for the 10, 11, 12 and 13 digits respectively, in a manner similar
  to the hexadecimal numbering system.\n\nFor 1 ≤ n ≤ 9, the sum of the digits of
  all the n-digit steady squares in the base 14 numbering system is 2d8 (582 decimal).
  Steady squares with leading 0's are not allowed.\n\nFind the sum of the digits of
  all the n-digit steady squares in the base 14 numbering system for  \n1 ≤ n ≤ 10000
  (decimal) and give your answer in the base 14 system using lower case letters where
  necessary.\n\n"