Write a Python program to give changes for the least number of bills and coins. Assume the denominations are $100, $50, $20, $10, $5, $1, 50¢, 25¢, 10¢, 5¢, and 1¢. And, there are enough of each to make any required change. How would you represent $269.63?    Show your reasoning as well. Specify a change in the conditions above that make this greedy algorithm fail.  Also, show an example that demonstrates the failure. You implement either of two tasks specified below: Write another Python program to count the total number of ways to give change for any specified amount. Write another Python program solving the failure case you mentioned above. (perhaps solving it by a DP algorithm)

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