Sunday Times Teaser 2770 – Football Fans
by Graham Smithers
Published: 25 October 2015 (link)
The clubs Barnet, Exeter, Gillingham, Plymouth, Southend and Walsall need to attract more fans. So each has persuaded one of the players Aguero, Ibrahimovic, Lampard, Neymar, Schweinsteiger and Suarez to join them. Also, each club has persuaded one of the managers Conte, Mourinho, Pellegrini, Terim, Van Gaal and Wenger to take control. For each club, if you look at the club, player and manager, then for any two of the three there are just two different letters of the alphabet that occur in both (with the letters possibly occurring more than once).
In alphabetical order of the teams, list their new players.
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Brian Gladman permalink123456789101112131415161718192021222324252627282930313233343536from itertools import permutationsclubs = ('Barnet', 'Exeter', 'Gillingham', 'Plymouth','Southend', 'Walsall')players = ('Aguero', 'Ibrahimovic', 'Lampard', 'Neymar','Schweinsteiger', 'Suarez')managers = ('Conte', 'Mourinho', 'Pellegrini', 'Terim','Van Gaal', 'Wenger')# form the sets of letters in the club, player and manager namescl_sets = [set(x.lower()) for x in clubs]pl_sets = [set(x.lower()) for x in players]ml_sets = [set(x.lower()) for x in managers]# permute the playersfor p in permutations(pl_sets):# check that the club and players names share two lettersif all(len(x & y) == 2 for x, y in zip(cl_sets, p)):# permute the managersfor m in permutations(ml_sets):# check that the club and manager names share two lettersif all(len(x & y) == 2 for x, y in zip(cl_sets, m)):# and that the player and manager names share two lettersif all(len(x & y) == 2 for x, y in zip(p, m)):print('Clubs: ', ', '.join(clubs))print('Players: ', ', '.join(players[pl_sets.index(x)] for x in p))print('Managers:', ', '.join(managers[ml_sets.index(x)] for x in m))
