Fix max_clusters calculation

src/cluster_helper.py

@@ -1,3 +1,4 @@
+import math
 from typing import Dict
 
 import matplotlib.pyplot as plt
@@ -7,8 +8,9 @@ from sklearn import cluster, metrics
 
 
 def get_best_clusters_num(
-    X: DataFrame, random_state: int, max_clusters: int = 10
+    X: DataFrame, random_state: int, max_clusters: int | None = None
 ) -> Dict[int, float]:
+    max_clusters = int(math.sqrt(len(X)) + 0.5) + 1
     silhouette_scores: Dict[int, float] = {}
     for cluster_num in range(2, max_clusters + 1):
         kmeans = cluster.KMeans(n_clusters=cluster_num, random_state=random_state)