Programming Problem 8 in Chapter 5 asked you to write a program to compute the score for...

Programming Problem 8 in Chapter 5 asked you to write a program to compute the score for one frame in a game of tenpin bowling. In this exercise, you will extend this algorithm to compute the score for an entire game for one player. A game consists of 10 frames, but the tenth frame has some special cases that were not described in Chapter 5.

A frame is played by first setting up the 10 pins. The player then rolls the ball to knock them down. If all 10 are knocked down on the first throw, it is called a strike, and the frame is over. If fewer than 10 are knocked down on the first throw, the number knocked down is recorded and the player gets a second throw. If the remaining pins are all knocked down on the second throw, it is called a spare. The frame ends after the second throw, even if there are pins left standing. If the second throw fails to knock all of the pins down, then the number that it knocked down is recorded, and the score for the frame is just the number of pins knocked down by the two throws. However, in the case of a strike or a spare, the score for the frame depends on throws in the next frame and possibly the frame after that.

If the frame is a strike, then the score is equal to 10 points plus the number of pins knocked down in the next two throws. Thus the maximum score for a frame is 30, which occurs when the frame is a strike and the two following frames are also strikes. If the frame is a spare, then the score is those 10 points plus the number of pins knocked down on the next throw.

The last frame is played somewhat differently. If the player gets a strike, then he or she gets two more throws so that the score for the strike can be computed. Similarly, if it is a spare, then one extra throw is given. If the first two throws fail to knock down all of the pins, then the score for the last frame is just the number knocked down, and there is no extra throw. Here is an example of how the I/O might appear for the start of a run:

Your program should take as input the number of pins knocked down by each throw, and output the score for each frame as it is computed. The program must recognize when a frame has ended (due to either a strike or a second throw). The program also should check for erroneous input. For example, a throw may be in the range of 0 through 10 pins, and the total of the two throws in any of the first nine frames must be less than or equal to 10.

Use functional decomposition to solve this problem and code the solution using functions as appropriate. Be sure to use proper formatting and appropriate comments in your code. The output should be labeled clearly and formatted neatly, and the error messages should be informative.

REF PRB:

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Use functional decomposition to write a C++ program that takes as input three numbers representing the number of pins knocked down by a bowler in three throws. The rules of bowling are that if the first throw is a strike (all 10 pins knocked down), then the score is equal to those 10 points plus the number knocked down in the next two throws. Thus the maximum score (three strikes) is 30. If the first throw knocks down fewer than 10 pins, but the second throw knocks down the remainder of the 10 pins (a spare), then the score is those 10 points plus the number of pins knocked down on the third throw. If the first two throws fail to knock down all of the pins (a blow), then the score is just the total number of pins knocked down in the first two throws. Your program should output the computed score, and also should check for erroneous input. For example, a throw may be in the range of 0 through 10 points, and the total of the first two throws must be less than or equal to 10, except when the first throw is a strike. Be sure to use proper formatting and appropriate comments in your code. The output should be labeled clearly and formatted neatly, and the error messages should be informative.