10 (Misc. application) a. An old Arabian legend has it that a fabulously wealthy but unthinking king agreed to give a beggar one cent and double the amount for 64 days. Using this informa- tion, write, run, and test a C++ program that displays how much the king must pay the beggar on each day. The output of your program should appear as follows: Day Amount Owed 0.01 0.02 0.04 64 b. Modify the program you wrote for Exercise 10a to determine on which day the king will have paid the beggar a total of one million dollars