# -*- coding: utf-8 -*-
"""
Created on Sat Jul 11 20:21:09 2015
"""

import random, math, scipy, numpy, tabulate, matplotlib
from tabulate import tabulate


def Markov(n, s):

    '''
    n represents the number of states
    s represents the number of time-steps
    '''

    a_11 = random.random()
    a_12 = random.random()
    a_13 = 1 - (a_11 + a_12)

    b_11 = random.random()
    b_12 = random.random()
    b_13 = 1 - (b_11 + b_12)

    c_11 = random.random()
    c_12 = random.random()
    c_13 = 1 - (c_11 + c_12)

    table = [[a_11, a_12, a_13],
           [b_11, b_12, b_13],
           [c_11, c_12, c_13]]

    print tabulate(table)

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

runfile('/home/raleigh/Downloads/Python-3.4.3/markovchain.py', wdir='/home/raleigh/Downloads/Python-3.4.3')
Reloaded modules: tabulate
--------  --------  ---------
0.327009  0.539087  0.133904
0.541266  0.211004  0.24773
0.569579  0.392514  0.0379069
--------  --------  ---------

runfile('/home/raleigh/Downloads/Python-3.4.3/markovchain.py', wdir='/home/raleigh/Downloads/Python-3.4.3')
Reloaded modules: tabulate
--------  --------  ---------
0.963362  0.759905  -0.723267
0.676055  0.546022  -0.222077
0.248199  0.837107  -0.085306
--------  --------  ---------

runfile('/home/raleigh/Downloads/Python-3.4.3/markovchain.py', wdir='/home/raleigh/Downloads/Python-3.4.3')
Reloaded modules: tabulate
--------  ---------  --------
0.713195  0.0273135  0.259492
0.264634  0.311998   0.423368
0.477829  0.250097   0.272074
--------  ---------  --------

runfile('/home/raleigh/Downloads/Python-3.4.3/markovchain.py', wdir='/home/raleigh/Downloads/Python-3.4.3')
Reloaded modules: tabulate
---------  ---------  --------
0.192538   0.0359414  0.77152
0.0820929  0.541748   0.376159
0.0801376  0.595351   0.324512
---------  ---------  --------

runfile('/home/raleigh/Downloads/Python-3.4.3/markovchain.py', wdir='/home/raleigh/Downloads/Python-3.4.3')
Reloaded modules: tabulate
--------  ---------  ---------
0.659396  0.768645   -0.428041
0.411337  0.211425    0.377238
0.359045  0.0232474   0.617708
--------  ---------  ---------