C++ Suppose there is a game with two options: A and B. Each of these options adds a different amount of points from a range of numbers. You start with 0 points and your goal is to reach 19 or 20 points. For example, suppose you had the following options: A = number between 4 through 7. B = number between 1 through 8. A sample game might go: Points = 0, choose option A(add 4-7). Points = 4, choose option B(add 1-8). Points = 12, choose option B(add 1-8). Points = 16, choose option B(add 1-8). Points = 21, you lose. Make a program that asks the user to give the ranges for both options A and B. You may assume that both options A and B have a minimum of adding at least one point. To figure out which moves are the best, simulate 10,000,000 games (this should take about 5 seconds to run) with random choices at each turn. Record how often you won/lost the game for each point value and each option picked. If you won the game, each point/option along the whole game should get a +1 and each loss a -1. Thus if the sample game above was the first game played, you should keep the tally: 0 Points: A=-1, B=0 1 Points: A=0, B=0 2 Points: A=0, B=0 3 Points: A=0, B=0 4 Points: A=0, B=-1 5 Points: A=0, B=0 6 Points: A=0, B=0 7 Points: A=0, B=0 8 Points: A=0, B=0 9 Points: A=0, B=0 10 Points: A=0, B=0 11 Points: A=0, B=0 12 Points: A=0, B=-1 13 Points: A=0, B=0 14 Points: A=0, B=0 15 Points: A=0, B=0 16 Points: A=0, B=-1 17 Points: A=0, B=0 18 Points: A=0, B=0 At the end, show which option is best to play for each point value (i.e. whichever tally is higher). (Note: there is also a mathematical way to figure out the best moves in games like this involving expected values of random variables.) Example 1 (user input is underlined): Option A range: 4 7 Option B range: 1 8 Points=0, should play B Points=1, should play A Points=2, should play A Points=3, should play A Points=4, should play B Points=5, should play B Points=6, should play B Points=7, should play A Points=8, should play A Points=9, should play A Points=10, should play B Points=11, should play B Points=12, should play B Points=13, should play A Points=14, should play A Points=15, should play A Points=16, should play B Points=17, should play B Points=18, should play B