project_euler.problem_125.sol1
==============================

.. py:module:: project_euler.problem_125.sol1

.. autoapi-nested-parse::

   Problem 125: https://projecteuler.net/problem=125

   The palindromic number 595 is interesting because it can be written as the sum
   of consecutive squares: 6^2 + 7^2 + 8^2 + 9^2 + 10^2 + 11^2 + 12^2.

   There are exactly eleven palindromes below one-thousand that can be written as
   consecutive square sums, and the sum of these palindromes is 4164. Note that
   1 = 0^2 + 1^2 has not been included as this problem is concerned with the
   squares of positive integers.

   Find the sum of all the numbers less than 10^8 that are both palindromic and can
   be written as the sum of consecutive squares.



Attributes
----------

.. autoapisummary::

   project_euler.problem_125.sol1.LIMIT


Functions
---------

.. autoapisummary::

   project_euler.problem_125.sol1.is_palindrome
   project_euler.problem_125.sol1.solution


Module Contents
---------------

.. py:function:: is_palindrome(n: int) -> bool

   Check if an integer is palindromic.
   >>> is_palindrome(12521)
   True
   >>> is_palindrome(12522)
   False
   >>> is_palindrome(12210)
   False


.. py:function:: solution() -> int

   Returns the sum of all numbers less than 1e8 that are both palindromic and
   can be written as the sum of consecutive squares.


.. py:data:: LIMIT
   :value: 100000000