Implement the make change algorithm you designed in the previous problem. Your program should read a text file "data.txt" where
each line in "data.txt" contains three values c, k and n. Please make sure you take your input in the specified order c, k and n. For example, a line in "data.txt" may look like the following:3 4 38
where c = 3,k = 4,n = 38. That is, the set of denominations is {30,31,32,33,34} = {1,3,9,27,81}, and we would like to make change for n = 38. The file "data.txt" may include multiple lines like above.
The output will be written to a file called "change.txt", where the output corresponding to each input line contains a few lines. Each line has two numbers, where the first number denotes a de- nomination and the second number represents the cardinality of that denomination in the solution. For example, for the above input line ‘3 4 38’, the optimal solution is the multiset {27, 9, 1, 1}, and the output in the file "change.txt" is as follows:
27 1 91 12
which means the solution contains 1 coin of denomination 27, one coin of 9 and two coins of denomination