| Bowl |
Technology hasn't come quickly to Joe's Bowl-a-rama. Minimum wage teens, and not those fancy machines, still reset the pins, and the grizzled veteran bowlers still mark up their own score sheets. Unfortunately for Joe Junior, who now runs the Bowl-a-rama, people his age are a little shaky on the scoring, especially after the second beer, and are staying away in droves, bowling instead at the new CyberBowl 2000 down the street, which scores automatically. Joe Junior figures that if he puts a cheap PC next to every lane, he can get a cheap, semi-automatic scoring system going. His plan is for the PC's to run software that only requires a bowler to enter the number of pins that remain standing after every throw - and the software will keep score and tell the bowler when his game is over. Joe Junior would like to hire you to write the software.
Of course, since you may not know how to score a game of bowling either, Joe Junior has provided
a description of the rules. The basic game consists of ten frames. In a frame, you get two chances
to throw a ball down the alley and knock over as many pins as you can. There are ten pins
standing at the beginning of a frame, and none are replaced after getting knocked over on the first
ball, so the most pins you can knock over in a frame is ten. You get one point for each pin knocked
over. In addition, there are two bonuses you can earn. If you knock over all ten pins on your first
ball of the frame, you have scored a ``strike''; besides the ten points for the pins, your score in this
frame is increased by the total number of pins knocked down with your next two balls. Those next
two balls are usually part of another frame (or two) and score points in that frame (or those frames)
as well. If you knock over all ten pins in a frame, but it takes you two balls to do it, you have
scored a ``spare''; in addition to your ten points for pins knocked down, your score for the frame is
increased by the number of pins you knock down on your next ball. Of course, those pins also
count as part of the next frame. If you score a spare (or strike) in the final (tenth) frame, you are
entitled to one (or two) extra balls to determine your tenth frame bonus. A perfect game scores 300
points, because each frame scores 30, 10 for knocking down 10 pins, and 20 for knocking down 20
pins with the next two balls combined.
Now, are you ready to sign on to write the software?
-) is used
instead of a `0'. An 'X' indicates a throw that knocks down all 10 pins on the first try. A slash ('/')
indicates a throw that finishes knocking down all the pins, after the previous throw left some
standing. Otherwise, a throw is shown as a digit (`1' to `9'). The number of throws in a frame may
be one (a strike in frames 1 to 9), or three (a strike or spare in frame 10, followed by bonus balls),
but is usually two. Here are examples of throw markings for a variety of situations:
| Marking | Comment |
| 81 | Knocked down 8 balls on the first throw, one on the next |
| 7/ | Knocked down 7 balls on the first throw, then the rest |
| X | Knocked down all balls on the first throw |
| 9- | Knocked down 9 balls on the first throw, none on the next |
| 8/X | Knocked down 8 balls on the first throw of frame 10, then the rest, then all the pins on the bonus throw |
| X-/ | Knocked down ten balls on the first throw of frame 10, then missed all the pins on the first bonus throw and knocked them all down on the second bonus throw |
The second output line shows cumulative scores. The cumulative score for the first frame is just
the score for pins knocked down in frame, plus bonus points if they apply. The cumulative score
for any other frame is the cumulative score for the previous frame plus the score for pins knocked
down in that frame, plus the bonus pins that may have been earned for a strike or spare in this
frame. It is possible to have markings on line one for a frame, but no score on line two, in the event
that the frame is a strike or spare but the bonus points for the frame aren't yet known.
The format for this output requires that the bowler's name be left-justified. The fields for each
frame are three characters wide, with a space separating each field. The fields begin in columns 14,
18, 22, and so on. The record of the throws in the first line is left justified in its field. The
cumulative score is right justified in its field. There is a blank line that separates the scores of one
bowler from the scores of another.
Chuck 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 Solly 0 0 0 0 0 0 0 0 0 0 0 8 Lothar 10 0 10 0 10 0 Brutus 5 1 2 0 6 0 9 McGillicuddy 0 0 1 0 Homer 0 10 0 0 0 0 Barney 0 0 0 0 0 0 0 0 0 0 1 0
1234567890123456789012345678901234567890123456789012
Chuck 9/ 9/ 9/ 9/ 9/ 9/ 9/ 9/ 9/ 9/9
19 38 57 76 95 114 133 152 171 190
Solly X X X X X X X X X XX2
30 60 90 120 150 180 210 240 270 292
Lothar -/ -/ -/
10 20
Brutus 54 8/ 4/ 1
9 23 34
McGillicuddy X X 9/
29 49
Homer X -/ X X X
20 40 70
Barney X X X X X X X X X X9/
30 60 90 120 150 180 210 240 269 289