from numpy import array, dot
from numpy.linalg import matrix_power

P = array([ 1.081, 1.076, 0.327, 64.516])

M = array([
    [0.93,0.05,0.01,0.01],
    [0.07,0.87,0.03,0.03],
    [0.02,0.04,0.92,0.02],
    [0,0,0,1]
    ])

for n in range(1,201):
    print(dot(P, matrix_power(M,n)))