the number of conflicts by the most have parameter that specifies the probability that the best value is chosen two-stage choice this is the top-level searching algorithm that maintains priority queue of variables ordered by (the negative ofthe number of conflictsso that the variable with the most conflicts is selected first if there is no current priority queue of variablesone is created the main complexity here is to maintain the priority queue this uses the dictionary var differential which specifies how much the values of variables should change this is used with the updatable queue (page to find variable with the most conflicts cspsls py -(continued def search_with_var_pq(self,max_stepsprob_best= prob_anycon= )"""search with priority queue of variables this is used to select variable with the most conflicts ""if not self variable_pqself create_pq(pick_best_or_con prob_best prob_anycon for in range(max_steps)self number_of_steps += randnum random random(#pick variable if randnum prob_bestpick best variable var,oldval self variable_pq top(elif randnum pick_best_or_conpick variable in conflict con random_choice(self conflictsvar random_choice(con scopeelse#pick any variable that can be selected var random_choice(self variables_to_selectif len(var domain var has other values #pick value val random_choice([val for val in var domain if val is not self current_assignment[var]]self display( ,"assigning",var,val#update the priority queue var_differential {self current_assignment[var]=val for varcon in self csp var_to_const[var]self display( ,"checking",varconif varcon holds(self current_assignment)if varcon in self conflicts#was inconsnow consis self display( ,"became consistent",varconself conflicts remove(varconfor in varcon scopev is in one fewer conflicts version june