Php Program for Markov matrix
Last Updated :
02 Dec, 2022
Given a m x n 2D matrix, check if it is a Markov Matrix.
Markov Matrix: The matrix in which the sum of each row is equal to 1.
Example of Markov Matrix
Examples:
Input :
1 0 0
0.5 0 0.5
0 0 1
Output : yes
Explanation :
Sum of each row results to 1,
therefore it is a Markov Matrix.
Input :
1 0 0
0 0 2
1 0 0
Output :
no
Approach: Initialize a 2D array, then take another single dimensional array to store the sum of each rows of the matrix, and check whether all the sum stored in this 1D array is equal to 1, if yes then it is Markov matrix else not.
PHP
<?php
function checkMarkov( $m )
{
$n = 3;
for ( $i = 0; $i < $n ; $i ++)
{
$sum = 0;
for ( $j = 0; $j < $n ; $j ++)
$sum = $sum + $m [ $i ][ $j ];
if ( $sum != 1)
return false;
}
return true;
}
$m = array ( array (0, 0, 1),
array (0.5, 0, 0.5),
array (1, 0, 0));
if (checkMarkov( $m ))
echo " yes " ;
else
echo " no " ;
?>
|
Time Complexity: O(m*n), Here m is the number of rows and n is the number of columns.
Auxiliary Space: O(1), As constant extra space is used.
Please refer complete article on Program for Markov matrix for more details!
Share your thoughts in the comments
Please Login to comment...