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Finally, wrote up our strategies
into BASIC. We then took these strategies and put them into a
computer. Over the four-day weekend, the computer pitted the strategies
against the other strategies. Here are the results:
Gold Medal:
Jonah R.: 142,429 Wins,
Silver Medal: Morgen
L-F: 141,239 Wins,
Bronze Medal:
(3-way Tie) Tyler S.: 138,686 Wins,
Colin J.: 138,602 Wins, Julia
L.: 138,712 Wins.
Below are Jonah's, Morgan's, and Julia's
winning strategies written in BASIC, and if you don't know BASIC,
plain-english translations are right underneath.
Key:
|
E
|
Opponent's Score
|
|
T
|
Turn Score
|
|
M
|
My Accumulated Score
|
|
R
|
Roll
|
|
N
|
Number of Rolls
|
Jonah's Strategy:
10 IF E >= 85 OR M >= 90
THEN
20 R=1
30 ELSE
40 IF T >= 15 AND N=1 THEN
50 R=0
60 ELSEIF M < E - 20 THEN
70 IF M + T >= E THEN R=0
80 ELSE
90 IF T >= 20 THEN R=0
100 ENDIF
110 ENDIF
Translation:
If opponent score is greater than or equal to 85 or my score is
greater than or equal to 90, then don't stop rolling. Otherwise,
if my turn score is greater than or equal to 15 in one roll, then
stop. Otherwise, if my score is within 20 of my opponents, then
stop only when I pass my opponent's score. Otherwise, if my turn
score is greater than 20, then stop.
Morgen's Strategy
10 IF E < 80 THEN
20 IF M > E THEN
30 IF T > 15 THEN R = 0
40 ENDIF
50 ENDIF
60 R = 1
Translation:
Only stop if my opponent's score is less than 80, and if my score
is greater than opponent score, and if my turn score is greater
than 15.
Julia's Strategy
10 IF E < 80 THEN
20 IF M - E >= 20 THEN
30 IF T >= 20
40 R = 0
50 ELSE
60
IF T >= 15 THEN R=0
70 ENDIF
Translation:
If opponent score is less than 80, and if I'm within 20 of my opponent,
and if my turn score is greater than or equal to twenty, then stop.
Otherwise, stop if my turn score is greater than or equal to 15.
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