human
Write me a code to euler 's Four Square Identity and the other steps required given the following:
Euler 's Four Square Identity | function to check euler four square identity.
loops checking the sum of squares.
sum of 2 squares.
sum of 3 squares.
sum of 4 squares.
product of 2 numbers represented as sum of four squares i , j , k , l.
product of 2 numbers a and b represented as sum of four squares i , j , k , l.
given numbers can be represented as sum of 4 squares By euler 's four square identity product also can be represented as sum of 4 squares"
Solution in Python:
assistant
#Here is code to euler 's Four Square Identity and the other steps required.
 def check_euler_four_square_identity ( a , b , ab ) :
	s = 0 ;
	i = 0 ;
	while ( i * i <= ab ) :
		s = i * i ;
		j = i ;
		while ( j * j <= ab ) :
			s = j * j + i * i ;
			k = j ;
			while ( k * k <= ab ) :
				s = k * k + j * j + i * i ;
				l = k ;
				while ( l * l <= ab ) :
					s = l * l + k * k + j * j + i * i ;
					if ( s == ab ) :
						print ( " i ▁ = " , i ) ;
						print ( " j ▁ = " , j ) ;
						print ( " k ▁ = " , k ) ;
						print ( " l ▁ = " , l ) ;
						print ( " Product ▁ of ▁ " , a , " and " , b , end = " " ) ;
						print ( " ▁ can ▁ be ▁ written ▁ as ▁ sum ▁ of " , " squares ▁ of ▁ i , ▁ j , ▁ k , ▁ l " ) ;
						print ( ab , " = ▁ " , end = " " ) ;
						print ( i , " * " , i , " + ▁ " , end = " " ) ;
						print ( j , " * " , j , " + ▁ " , end = " " ) ;
						print ( k , " * " , k , " + ▁ " , end = " " ) ;
						print ( l , " * " , l ) ;
						print ( " " ) ;
					l += 1 ;
				k += 1 ;
			j += 1 ;
		i += 1 ;
ab = a * b ;
check_euler_four_square_identity ( a , b , ab ) ;