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TD2-8_Make_ChangePrograms/prg6.py

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+# modify program 5 or program 4 so that the best calculated
+# solution is stored in a solution table. Evaluate the computation time
+# saved and the display savings.
+
+import time
+
+# Function to calculate all combinations of coins to make a specific amount
+def calculate_change_combinations(coins, amount):
+    # Convert euro amounts to cents for calculations
+    amount_cents = int(amount * 100)
+    coin_values_cents = [int(coin * 100) for coin in coins]
+
+    # Initialize a list to store combinations and their counts
+    combinations = []
+    stack = [(0, [], 0)]  # (current amount in cents, current combination, current coin index)
+
+    best_solution = [[] for i in range(len(coins))]
+
+    while stack:
+        current_amount, current_combination, current_coin_index = stack.pop()
+
+        # If the current combination sums up to the target amount, add it to the list
+        if current_amount == amount_cents:
+            if len(current_combination) < len(best_solution):
+                best_solution = current_combination
+
+        # If the current amount is less than the target amount and there are more coins to consider
+        elif current_amount < amount_cents and current_coin_index < len(coin_values_cents):
+            coin = coin_values_cents[current_coin_index]
+            max_count = (amount_cents - current_amount) // coin  # Maximum count of the current coin
+
+            # Try adding different counts of the current coin to explore possibilities
+            for count in range(max_count + 1):
+                new_amount = current_amount + count * coin
+                new_combination = current_combination + [coins[current_coin_index]] * count
+                # Push the new state onto the stack for further exploration
+                stack.append((new_amount, new_combination, current_coin_index + 1))
+    
+    return best_solution
+
+# Define the list of available coin denominations and the amount amount of change
+L = [5, 2, 1, 0.5, 0.2, 0.1, 0.05]
+A = 12.35
+
+start = time.perf_counter()
+solution = calculate_change_combinations(L, A)
+
+with open("sol_4-6.txt", "w") as f:
+    f.write(str(solution))
+    f.write("\n")
+
+total_time_3 = time.perf_counter() - start
+
+start = time.perf_counter()
+solution = calculate_change_combinations(L, A)
+total_time_6 = time.perf_counter() - start
+
+print("Solution: ", solution)
+print("Total time for program 3: ", total_time_3)
+print("Total time for program 6: ", total_time_6)
+
+
+
+