Testing and Analyzing the Solution

Now that we have implemented the dynamic programming solution for the coin change problem, it's important to test and analyze the efficiency and correctness of the solution.

To perform tests, we can define a function TestCoinChange that initializes an array coins with some coin denominations and a desired amount. We can then call the CoinChange function with these parameters and store the result in a variable result.

After calculating the result, we can print the minimum number of coins needed to make the given amount using the selected coin denominations.

Here's the C# code to perform the tests:

1{{code}}

In this example, we have an array of coin denominations [1, 2, 5] and the desired amount 11. We call the CoinChange function with these parameters and store the result in the variable result.

Finally, we print the minimum number of coins needed to make the amount of 11 using the given coin denominations.

When we run the code, we should see the following output:

1Minimum number of coins needed: 3

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// Define the function to perform tests

public static void TestCoinChange()

{

    int[] coins = {1, 2, 5};

    int amount = 11;

​

    // Test the coin change function

    int result = CoinChange(coins, amount);

​

    // Print the minimum number of coins needed

    Console.WriteLine("Minimum number of coins needed: " + result);

}

​

// Perform the tests

TestCoinChange();