feat: complete q4

inference.py

@@ -201,7 +201,22 @@ def inferenceByVariableEliminationWithCallTracking(callTrackingList=None):
             eliminationOrder = sorted(list(eliminationVariables))
 
         "*** YOUR CODE HERE ***"
-        raiseNotDefined()
+        current_factors = bayesNet.getAllCPTsWithEvidence(evidenceDict)
+        print(joinFactorsByVariable)
+        
+        for eliminate_var in eliminationOrder:
+            unjoined_factors, joined_factor = joinFactorsByVariable(current_factors, eliminate_var)
+            current_factors = unjoined_factors
+
+            # if the joined_factor's unconditioned variables not only have the eliminate_variable.
+            # we can eliminate this.
+            if len(joined_factor.unconditionedVariables()) > 1:
+                current_factors.append(eliminate(joined_factor, eliminate_var))
+
+        new_factor = joinFactors(current_factors) 
+        new_factor = normalize(new_factor)
+        return new_factor
+
         "*** END YOUR CODE HERE ***"