football2_diophantine, a Python code which uses Diophantine methods to find the number of ways a given score of N points can be achieved in football, with scoring opportunities of 2, 3, 4, 6, 7, and 8 points, ignoring the order of events.
For instance, to get a score of 14, there are 11 ways, if we ignore the order in which opportunities are achieved:
1: 8 + 6 2: 8 + 3 + 3 3: 8 + 2 + 2 + 2 4: 7 + 7 5: 7 + 3 + 2 + 2 6: 6 + 6 + 2 7: 6 + 3 + 3 + 2 8: 6 + 2 + 2 + 2 + 2 9: 3 + 3 + 3 + 3 + 2 10: 3 + 3 + 2 + 2 + 2 + 2 11: 2 + 2 + 2 + 2 + 2 + 2 + 2
The computer code and data files described and made available on this web page are distributed under the GNU LGPL license.
football2_diophantine is available in a Python version.
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