May you optimise my code to make it really really fast. I have a code to solve sat problems but i dont know how to make it more faster could you optmise it please. Take your time to analyse and implement what you think would make it fast, please verify your code most of expert normally send me a incorrect code or a code that is slower than mine $.$ Thank you in advance

My code:

def update$\_$clauses$($clauses$,$ literal$)$:

updated$\_$clauses $=[]$

for clause in clauses:

if literal in clause:

continue # Skip the clause as it's satisfied

new$\_$clause $=[$x for x in clause if x $!=-$literal$]$

if not new$\_$clause:

return False # Unsatisfiable clause found

updated$\_$clauses.append$($new$\_$clause$)$

return updated$\_$clauses # Always return a list

def choose$\_$variable$($clauses$)$:

literal$\_$count $=\{\}$

for clause in clauses:

for literal in clause:

literal$\_$count$[$abs$($literal$)]=$ literal$\_$count.get$($abs$($literal$),0)+1$

return max$($literal$\_$count, key$=$literal$\_$count.get$)$

def unit$\_$propagation$($clauses$,$ assignment$)$:

while True:

unit$\_$clause $=$ next$(($clause$[0]$ for clause in clauses if len$($clause$)==1),$ None$)$

if unit$\_$clause is None:

break

clauses $=$ update$\_$clauses$($clauses$,$ unit$\_$clause$)$

if clauses is False:

return False, assignment

assignment$[$abs$($unit$\_$clause$)]=$ unit$\_$clause $>0$

return clauses, assignment

def dpll$\_$sat$\_$solve$($clauses$,$ assignment$=$None$)$:

if assignment is None:

assignment $=\{\}$

clauses, assignment $=$ unit$\_$propagation$($clauses$,$ assignment$)$

if clauses is False:

return False

if all$($len$($clause$)==0$ for clause in clauses$)$:

return assignment

var $=$ choose$\_$variable$($clauses$)$

unassigned$\_$vars $=\{$abs$($literal$)$ for clause in clauses for literal in clause if abs$($literal$)$ not in assignment$\}$

if not unassigned$\_$vars:

return assignment

for value in $[$True$,$ False$]$:

new$\_$assignment $=$ assignment.copy$()$

new$\_$assignment$[$var$]=$ value

result $=$ dpll$\_$sat$\_$solve$($update$\_$clauses$($clauses$,$ var if value else $-$var$),$ new$\_$assignment$)$

if result is not False:

return result

return False