Update app.py

app.py

@@ -31,7 +31,13 @@ import serpapi
 import requests
 import mpld3
 from langchain_community.tools import TavilySearchResults
-
+import io
+import base64
+import requests
+import numpy as np
+import matplotlib.pyplot as plt
+import matplotlib.patches as patches
+from PIL import Image
 # Initialize logging
 
 logging.basicConfig(level=logging.INFO)