def gen_num(start, limit, iter_func):
    value = iter_func(start)
    while value < limit:
        yield value
        start += 1
        value = iter_func(start)

def init_nums():
    funcs = (lambda n: n * (n + 1) // 2, lambda n: n * n, lambda n: n * (3 * n - 1) // 2,
        lambda n: n * (2 * n - 1), lambda n: n * (5 * n - 3) // 2, lambda n: n * (3 * n - 2))
    for f in funcs:
        yield list(filter(lambda x: x > 1000, gen_num(1, 10000, f)))

def find(platform, scan, result):
    if not scan:
        if result[-1] % 100 == result[0] // 100:
            return result
    else:
        for shape in scan:
            for num in platform[int(shape)]:
                if num // 100 == result[-1] % 100:
                    get = find(platform, scan.replace(shape, ''), result + [num])
                    if get:
                        return get

def search():
    platform = list(init_nums())
    for first in platform[-1]:
        result = find(platform[:-1], '01234', [first])
        if result:
            return result

print(sum(search()))