diff --git a/__pycache__/offline.cpython-310.pyc b/__pycache__/offline.cpython-310.pyc
index 4dd9a21145e090d04192f57cd797a3b09012def5..7f71398fdfcc8e06aa9ac3f7d82ed10fc8a4be84 100644
Binary files a/__pycache__/offline.cpython-310.pyc and b/__pycache__/offline.cpython-310.pyc differ
diff --git a/main.py b/main.py
index 0a6220c62c11c226a840a6c9544097e3ce3aae49..b22ff5a49720c47be2e39c87df21772bd5b38add 100644
--- a/main.py
+++ b/main.py
@@ -55,7 +55,7 @@ def PrintOutput(filename : str, endTime : float, imageTimes : List[float]):
         OUTPUT_FILE.writelines(reduce(lambda x, y: x + "\n" + f"{str(y)}", imageTimes, ""))
 
 if __name__ == "__main__":
-    testcase = 5
+    testcase = 4
     parsedIn = ParseInput(f"t{testcase}_in.txt")
     res = LP.Solve(parsedIn[0], parsedIn[1])
     output_file = "t{}_out.txt".format(testcase)
diff --git a/offline.py b/offline.py
index 4e2890e44c731cc52261d2e26095e4a06c3ba0b6..2cd2a402210d14114107f8cc45e7f8b71f8b0b70 100644
--- a/offline.py
+++ b/offline.py
@@ -13,6 +13,7 @@ def Solve(images, blackouts):
         for image in range(image_count):
             times.append(endtime)
             endtime += images[image]
+        print(f"No blackboxes, easy solving: end time = {endtime}, startingtimes = {times}.")
         return (endtime, times)
     whitebox_count = blackout_count+1
     
@@ -41,6 +42,7 @@ def Solve(images, blackouts):
     """CONSTRAINTS"""
     # (1) minimize makespan
     model.setObjective(ms, GRB.MINIMIZE)
+
     # (3) make sure the starttime and endtime are exactly image size apart
     model.addConstrs((Tf_j[j] - Ts_j[j] == js[j] 
         for j in range(image_count)), 
@@ -58,7 +60,7 @@ def Solve(images, blackouts):
         for t in range(whitebox_count)), 
         name="Eq(17)")
     
-    # Xfree_t should be 0 if there is at least one image being processed in whitebox t
+    # (17.2) Xfree_t should be 0 if there is at least one image being processed in whitebox t
     model.addConstrs((gp.quicksum(X_j_t[j,t] for j in range(image_count))
         * Xfree_t[t] 
         == 0
@@ -76,10 +78,10 @@ def Solve(images, blackouts):
         for j in range(image_count))
         for t in range(whitebox_count)), 
         name="Eq(20)")
-    # (20.1) but is upperbounded by the length of the whitebox
+    # (20.2) but is upperbounded by the length of the whitebox
     model.addConstrs((PV_t[t] <= white_boxes[t][1]
         for t in range(whitebox_count)), 
-        name="Eq(20.1)")
+        name="Eq(20.2)")
         
     # SOLVE AND PRINT THE RESULTS
     model.optimize()
@@ -94,9 +96,8 @@ def Solve(images, blackouts):
         for (j,t) in X_j_t:
             if X_j_t[j,t].X > 0:
                 print(f"(im{j},wb{t}) = {X_j_t[j,t].X}")
-        print("All else are 0")
+        print("All other X_j_t are 0")
 
-        print('\nFinish time: %g' % time)
         print('Whitebox contains:')
         for t in PV_t:
                 print(f"wb{t} is {Xfree_t[t].X} empty and holds length {PV_t[t].X} of images")
@@ -120,6 +121,7 @@ def Solve(images, blackouts):
 
         print(f"Timers after={timers}")
         print(f"Starts={starts}")
+        print('Finish time: %g' % time)
 
     else:
         print('\nNo solution, Check input or constraints! Reason:')
diff --git a/t2_out.txt b/t2_out.txt
index 4c06077ca316f1c130b14b1df9135387b2ad5df9..8698d04290be9a353dfaab53d9dfaa49c9e2d0a2 100644
--- a/t2_out.txt
+++ b/t2_out.txt
@@ -1,5 +1,5 @@
 6.0
+0
 1.0
-2.0
-4.5
-6.0
\ No newline at end of file
+3.0
+4.5
\ No newline at end of file