import itertools

def pentagonal_number(n):
    return n * (3 * n - 1) / 2

if __name__ == '__main__':
    pentagonals = []
    for i in range(1, 10000):
        pentagonals.append(pentagonal_number(i))

    pentagonals = set(pentagonals)
    combos = itertools.combinations(pentagonals, 2)
    lowest_diff = 9999999
    final_pents = False
    for combo in combos:
        total = combo[0] + combo[1]
        diff = abs(combo[0] - combo[1])
        if total in pentagonals and diff in pentagonals:
            if diff < lowest_diff:
                lowest_diff = diff
                final_pents = combo
    print(final_pents)
    print(lowest_diff)