import numpy as np

P = np.matrix( '0.4, 0.3, 0.1; \
                0.4, 0.3, 0.6; \
                0.2, 0.4, 0.3' )

print( P )

x0 = np.matrix( '0; \
                 1; \
                 0' )
print( x0 )

x1 = P * x0 
print( x1 )

x2 = P * x1
print( x2 )











x = x0
for i in range( 21 ):      # you saw range( n ) in Week 1
    print( 'Day', i )        # print the predictions for day i
    print( x )
    x = P * x              # compute the predictions for day i+1