text: #Problem 9:
  #A Pythagorean triplet is a set of three natural numbers, a < b < c, for which, a2 + b2 = c2
  #For example, 32 + 42 = 9 + 16 = 25 = 52.
  #There exists exactly one Pythagorean triplet for which a + b + c = 1000.
  #Find the product abc.
  
  #a<b<c
  def isPytha(a,b,c):
      if(((a*a)+(b*b)) == (c*c)):
          return True
    
  def main():  
      for i in range(1,1000):
          for j in range(1,1000):
              k = 1000 - (i+j)
              if(isPytha(i,j,k)):
                  print i*j*k
                          
  main()
  