diff --git a/exact_kmeans/ilp.py b/exact_kmeans/ilp.py
index c6a888c..b0f7695 100755
--- a/exact_kmeans/ilp.py
+++ b/exact_kmeans/ilp.py
@@ -71,7 +71,7 @@ def __init__(
         for key, value in self.config["bound_model_params"].items():
             self.changed_bound_model_params[key] = value
 
-        self.tolerance_value = 0
+        self.tolerance_value = 1e-10
         for param in self.changed_model_params:
             if "tol" in param.lower():
                 self.tolerance_value = max(
@@ -470,7 +470,7 @@ def run_single_cluster_ilp(self, m: int) -> Tuple[int, float]:
             f"Objective for cluster size {m}: {model.ObjVal} "
             f"computed in {time() - start:.3f} seconds."
         )
-        obj = model.ObjVal
+        obj = model.ObjVal - self.tolerance_value
         del model
 
         return m, obj