human
Can you provide a code to count ways to divide circle using N non and the other steps required given the following:
Count ways to divide circle using N non | Function to calculate x ^ y % mod efficiently.
Initialize the answer.
If power is odd.
Update the answer.
Square the base and half the exponent.
Return the value.
Function to calculate ncr % mod efficiently.
Initialize the answer.
Calculate ncr in O ( r ).
Multiply with the numerator factor.
Calculate the inverse of factor of denominator.
Multiply with inverse value.
Return answer value.
Function to return the number of non intersecting chords.
define mod value.
Value of C ( 2 n , n ).
Modulo inverse of ( n + 1 ).
Multiply with modulo inverse.
Return the answer.
Driver code.
Function call"
How can the above be solved in Python?
assistant
#Here is code to count ways to divide circle using N non and the other steps required.
 def power ( x , y , mod ) :
	res = 1
	while ( y ) :
		if ( y & 1 ) :
			res = ( res * x ) % mod
		x = ( x * x ) % mod
		y = ( y >> 1 )
	return ( res % mod )
def ncr ( n , r , mod ) :
	res = 1
	for i in range ( 1 , r + 1 ) :
		res = ( res * ( n - i + 1 ) ) % mod
		inv = power ( i , mod - 2 , mod )
		res = ( res * inv ) % mod
	return ( res % mod )
def NoOfChords ( A ) :
	mod = 10 ** 9 + 7
	ans = ncr ( 2 * A , A , mod )
	inv = power ( A + 1 , mod - 2 , mod )
	ans = ( ans * inv ) % mod
	return ( ans % mod )
N = 2
print ( NoOfChords ( N ) )