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A very unusual model of inflation can be simulated by multiplying the cost of a given item 3 months ago with the cost of the item 2 months ago and dividing that quantity by the cost of the item 1 month ago. The costs will be given in dollars, with no more than 2 decimal places representing cents. No cost can include partial cents, so always round to the nearest whole cent for every month.
For example, suppose dumplings from the corner cost \$5.23 in month 1, \$5.50 in month 2, and \$5.52 in month 3. It is now month 4 and we need to find out how much to charge considering inflation. We would multiply 5.23 by 5.50 to get 28.765. Note: no rounding takes place at this step. Then take that quantity and divide it by 5.52 to get 5.21.
Each line will start with 3 decimal numbers, with 1 or 2 decimal places, representing the costs at month 1, 2, and 3. The next input on the line will be an integer, N, between 1 and 100 inclusively indicating for which month the cost is to be calculated. A line starting with -1 will mark the end of the test cases.
For each test case (line of input) you should calculate the cost for that month and output your result as “Month N cost: \$c”, where c is the cost in dollars. Each output should have exactly 2 decimal digits and be comma grouped. The cost for every month that you are requested to find will fit in a Java double.
5.23 5.5 5.52 4 5.23 5.5 5.52 2 -1
Month 4 cost: $5.21 Month 2 cost: $5.50