This section illustrates the way a flowchart and a program are developed for a problem connected with the game of bowling. The way in which the spirit of the structured programming philosophy is followed is more important than the particular development.
Bowling, as you may know, consists of ten frames. In each frame, there is a chance to knock down ten pins by throwing one or two balls down the bowling alley. To start, you roll the first ball of a given frame. If all ten pins are knocked down, a strike is achieved for that frame, and you earn a frame score of 10 plus the total number of pins knocked down on the next two rolls. If any pins remain standing, you roll a second ball for the frame. After this roll, if all pins are down, you have a spare, and a frame score of 10 plus the number of pins knocked down on the next roll. If any pins remain standing after the second roll, then the result is an open frame, and the frame score obtained is given by the total number of pins knocked down on the two rolls of the frame. A strike or spare occurring on the last (the tenth), results in two or one additional rolls, respectively. The total score for a game is the sum of all the individual frame scores.
Getting twelve strikes in a row results in the maximum attainable score of 300. In this case, twelve rolls are made. The least number of rolls possible is eleven and the greatest is twenty-one. In fact there is a correlation between the number of rolls in a game and the game score. Many rolls correspond to low scores and few rolls to high scores. The better a bowler you are, the fewer rolls you get!
Example 1.1
The problem is to print the total score for each of a series of games, as well as the minimum, average, and maximum scores. Assume the input is given as a series of roll scores for each game and includes at least one game.n