For the Bayesian network of Figure $1,$ implement a program that computes and prints out the probability of any combination of events given any other combination of events. If the executable is called bnet, here are some example invocations of the program:

To print out the probability P$($Burglary$=$true and Alarm$=$false $|$ MaryCalls$=$false$).$

bnet Bt Af given Mf

To print out the probability P$($Alarm$=$false and Earthquake$=$true$).$

bnet Af Et

To print out the probability P$($JohnCalls$=$true and Alarm$=$false $|$ Burglary$=$true and Earthquake$=$false$).$

bnet Jt Af given Bt Ef