solve : coin change

Author: SamTheKorean

coin-change/samthekorean.py

@@ -0,0 +1,17 @@
+# a is number of amount and c is number of coins
+# TC : O(a∗c)
+# SC: O(a)
+class Solution:
+    def coinChange(self, denominations: List[int], target_amount: int) -> int:
+        minimum_coins = [target_amount + 1] * (target_amount + 1)
+        minimum_coins[0] = 0
+
+        for current_amount in range(1, target_amount + 1):
+            for coin in denominations:
+                if current_amount - coin >= 0:
+                    minimum_coins[current_amount] = min(
+                        minimum_coins[current_amount],
+                        1 + minimum_coins[current_amount - coin],
+                    )
+
+        return minimum_coins[-1] if minimum_coins[-1] != target_amount + 1 else -1