From ade978c89c3b5fe3c9a60e1e7f5fb90f3aba2cc4 Mon Sep 17 00:00:00 2001
From: ImAlpha <arcticjcb@gmail.com>
Date: Thu, 17 Aug 2023 02:04:49 -0700
Subject: [PATCH] Beats 80% of runtime, uses a lot of memory. multiples loops
 is still O(n)

---
 .../238_Product_of_Array_Except_Self.py       | 56 +++++++++++++------
 1 file changed, 40 insertions(+), 16 deletions(-)

diff --git a/NeetCodeRoadmap/Arrays_and_Hashing/238_Product_of_Array_Except_Self.py b/NeetCodeRoadmap/Arrays_and_Hashing/238_Product_of_Array_Except_Self.py
index 97adbdb..8297019 100644
--- a/NeetCodeRoadmap/Arrays_and_Hashing/238_Product_of_Array_Except_Self.py
+++ b/NeetCodeRoadmap/Arrays_and_Hashing/238_Product_of_Array_Except_Self.py
@@ -1,19 +1,43 @@
-from functools import reduce
-import operator
 
+# from functools import reduce
+# import operator
+
+
+# def productExceptSelf(nums):
+#         """
+#         :type nums: List[int]
+#         :rtype: List[int]
+#         """
+#         final = []
+#         for x in range(len(nums)):
+#                 temp = nums[0]
+#                 del nums[0]
+#                 final.append(reduce(operator.mul, nums))
+#                 # print(nums)
+#                 nums.append(temp)
+#                 # print(final)
+#         return final
+# print(productExceptSelf([1,2,3,4]))
 
 def productExceptSelf(nums):
-        """
-        :type nums: List[int]
-        :rtype: List[int]
-        """
-        final = []
-        for x in range(len(nums)):
-                temp = nums[0]
-                del nums[0]
-                final.append(reduce(operator.mul, nums))
-                # print(nums)
-                nums.append(temp)
-                # print(final)
-        return final
-print(productExceptSelf([1,2,3,4]))
\ No newline at end of file
+    n = len(nums)
+    prefix_products = [1] * n
+    suffix_products = [1] * n
+    result = [1] * n
+
+    prefix_product = 1
+    for i in range(n):
+        prefix_products[i] = prefix_product
+        prefix_product *= nums[i]
+
+    suffix_product = 1
+    for i in range(n - 1, -1, -1):
+        suffix_products[i] = suffix_product
+        suffix_product *= nums[i]
+
+    for i in range(n):
+        result[i] = prefix_products[i] * suffix_products[i]
+
+    return result
+
+print(productExceptSelf([1, 2, 3, 4]))