from math import *
from random import *
N=1000000

alpha=1.0

numerator=0.0
denominator=0.0
for i in range(0,N):
## insert code for generating sample point here
    
    numerator+=x*x*exp(-alpha*x*x)
## insert code for estimating denominator here

                                
numerator/=N
denominator/=N

print "Monte Carlo mean ", numerator/denominator