
from collections import defaultdict
from math import ceil, sqrt

def 		UpperCamelCase	(      lowercase_ = 1_00_00_00 , lowercase_ = 10   )		->	int:


  '''simple docstring'''






  lowercase__  :   defaultdict    		=      defaultdict(lowercase_   )

  for outer_width in range(3 , (t_limit // 4) + 2   ):
    if outer_width * outer_width > t_limit:
      lowercase__  :   Dict    		=      max(
          ceil(sqrt(outer_width * outer_width - t_limit   )   ) , 1   )
    else:
      lowercase__  :   str    		=      1

    hole_width_lower_bound += (outer_width - hole_width_lower_bound) % 2

    for hole_width in range(lowercase_ , outer_width - 1 , 2   ):
      count[outer_width * outer_width - hole_width * hole_width] += 1

  return sum(1 for n in count.values() if 1 <= n <= 10   )


if __name__ == "__main__":
     print(f'''{solution() = }''')








import sys

lowerCamelCase__    :		List[Any]          =   (
    """73167176531330624919225119674426574742355349194934"""
    """96983520312774506326239578318016984801869478851843"""
    """85861560789112949495459501737958331952853208805511"""
    """12540698747158523863050715693290963295227443043557"""
    """66896648950445244523161731856403098711121722383113"""
    """62229893423380308135336276614282806444486645238749"""
    """30358907296290491560440772390713810515859307960866"""
    """70172427121883998797908792274921901699720888093776"""
    """65727333001053367881220235421809751254540594752243"""
    """52584907711670556013604839586446706324415722155397"""
    """53697817977846174064955149290862569321978468622482"""
    """83972241375657056057490261407972968652414535100474"""
    """82166370484403199890008895243450658541227588666881"""
    """16427171479924442928230863465674813919123162824586"""
    """17866458359124566529476545682848912883142607690042"""
    """24219022671055626321111109370544217506941658960408"""
    """07198403850962455444362981230987879927244284909188"""
    """84580156166097919133875499200524063689912560717606"""
    """05886116467109405077541002256983155200055935729725"""
    """71636269561882670428252483600823257530420752963450"""
)

def 		UpperCamelCase	(      lowercase_ = N   )		->	int:


  '''simple docstring'''






  lowercase__  :   int    		=      -sys.maxsize - 1
  for i in range(len(lowercase_   ) - 12   ):
    lowercase__  :   Optional[int]    		=      1
    for j in range(13   ):
      product *= int(n[i + j]   )
    if product > largest_product:
      lowercase__  :   int    		=      product
  return largest_product


if __name__ == "__main__":
     print(f'''{solution() = }''')






