Could you help me debug my code $?$ I am trying but after I solve one bug another come $.$ Also could you make my code return the answer as a list of list wher $1$: False is equal to $-1$please $.$ Here is my code :

def dpll$\_$sat$\_$solve$($clause$\_$set, partial$\_$assignment$=$None, decision$\_$level$=0)$:

if partial$\_$assignment is None:

partial$\_$assignment $=\{\}$

clause$\_$set $=$ unit$\_$propagate$($clause$\_$set, partial$\_$assignment.copy$())$

if clause$\_$set is None:

return False # Conflict encountered

if not clause$\_$set:

return partial$\_$assignment # All clauses satisfied

# Choose a variable to branch on $($advanced heuristics can be applied here$)$

var $=$ choose$\_$variable$($clause$\_$set, partial$\_$assignment$)$

# Try assigning True and False to the chosen variable

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

result $=$ dpll$\_$sat$\_$solve$($clause$\_$set.copy$(),$

dict$($partial$\_$assignment, $**\{$var: value$\}),$

decision$\_$level $+1)$

if result:

return result

return False # UNSAT

def unit$\_$propagate$($clause$\_$set, partial$\_$assignment$)$:

while True:

new$\_$clause$\_$set $=[]$

conflict $=$ False

for clause in clause$\_$set:

unassigned$\_$literals $=[$lit for lit in clause if lit not in partial$\_$assignment$]$

if len$($unassigned$\_$literals$)==0$:

return None # Conflict

elif len$($unassigned$\_$literals$)==1$:

literal $=$ unassigned$\_$literals$[0]$

partial$\_$assignment$[$literal$]=$ not literal.startswith$("-")$

else:

new$\_$clause$\_$set.append$($clause$)$

if conflict:

return None # Conflict

if new$\_$clause$\_$set $==$ clause$\_$set:

return new$\_$clause$\_$set # Unit propagation done

clause$\_$set $=$ new$\_$clause$\_$set

def choose$\_$variable$($clause$\_$set, partial$\_$assignment$)$:

# Implement an advanced variable selection heuristic here

# For example, choose the variable with the most occurrences in remaining clauses

unassigned$\_$vars $=[$var for var in set.union$(*$clause$\_$set$)$ if var not in partial$\_$assignment$]$

return unassigned$\_$vars$[0]$ # Simple heuristic: choose the first unassigned variable