diff --git a/product_of_array_except_self.py b/product_of_array_except_self.py
index 7cec5f2..22e84e8 100644
--- a/product_of_array_except_self.py
+++ b/product_of_array_except_self.py
@@ -2,11 +2,18 @@ def product_except_self(nums):
     n = len(nums)
     result = [1] * n
     
+    left_products = [1] * n
+    right_products = [1] * n
+    
+    for i in range(1, n):
+        left_products[i] = left_products[i - 1] * nums[i - 1]
+    
+    for i in range(n - 2, -1, -1):
+        right_products[i] = right_products[i + 1] * nums[i + 1]
+    
     for i in range(n):
-        for j in range(n):
-            if i != j:
-                result[i] *= nums[j]
-                
+        result[i] = left_products[i] * right_products[i]
+    
     return result
 
 # Test the function with the example input