From 816f99b53e5916df8557e73149cc7908209be8f1 Mon Sep 17 00:00:00 2001
From: Krishna Singh <nagarkotikrishna01@gmail.com>
Date: Sun, 5 Oct 2025 21:20:05 +0530
Subject: [PATCH] Create coin_change_II.py

---
 dynamic_programming/coin_change_II.py | 21 +++++++++++++++++++++
 1 file changed, 21 insertions(+)
 create mode 100644 dynamic_programming/coin_change_II.py

diff --git a/dynamic_programming/coin_change_II.py b/dynamic_programming/coin_change_II.py
new file mode 100644
index 000000000000..5581780b1139
--- /dev/null
+++ b/dynamic_programming/coin_change_II.py
@@ -0,0 +1,21 @@
+from typing import List
+
+class Solution:
+    def change(self, amount: int, coins: List[int]) -> int:
+        cache = {}
+        def dfs(i,a):
+            if a == amount:
+                return 1
+            if a > amount:
+                return 0
+            if i == len(coins):
+                return 0
+            if (i,a) in cache:
+                return cache[(i,a)]
+            cache[(i,a)] = dfs(i,a + coins[i]) +dfs(i+1, a)
+            return cache[(i,a)]
+        return dfs(0,0)
+
+sol = Solution()
+# for example
+print(sol.change(5, [1,2,5]))  # Output: 4