from itertools import combinations

names = ["Eisstedt", "Frostberg", "Gletscherdorf", "Kaltburg", "Schneeheim", "Winterthal"]
games = list(combinations(names, 2))
table = {name: 0 for name in names}


def play(idx):
    if idx >= len(games):
        yield []
    else:
        [a, b] = games[idx]
        table[a] += 3
        yield from map(lambda x: ["{} > {}".format(a[0], b[0])] + x, play(idx+1))
        table[a] -= 2
        table[b] += 1
        yield from map(lambda x: ["{} = {}".format(a[0], b[0])] + x, play(idx+1))
        table[a] -= 1
        table[b] += 2
        yield from map(lambda x: ["{} < {}".format(a[0], b[0])] + x, play(idx+1))
        table[b] -= 3


for playouts in play(0):
    success = all(table[a]-2 == table[b] for a, b in zip(names[:-1], names[1:]))
    if success:
        print(table)
        print(playouts)