from math import fabs, isfinite

def product(seq, start=1.0):
    total = start
    s = []                 # values that would overflow the total
    s_side = False         # true if s_i increases the magnitude of the product
    for x in seq:
        old_total = total
        total *= x
        underflow = not total and old_total and x
        if isfinite(total) and not underflow:
            continue       # fast-path when there is no overflow or underflow
        total = old_total

        side = fabs(x) > 1.0
        if not s or side == s_side:
            s.append(x)
            s_side = side
            continue

        t = [x, total]
        while s and t:      # opposite sides:  matter and antimatter
            x = s.pop() * t.pop()
            side = fabs(x) > 1.0
            s.append(x) if side == s_side else t.append(x)
        if t:
            s = t
            s_side = not s_side
        total = s.pop()

    for x in s:
        total *= x
    return total


if __name__ == '__main__':
    from itertools import permutations

    data = (3.25, 1.25e-199, 18.25, 1.5e-201, 1.75e+200, 1.25e+202)
    print({product(t) for t in permutations(data)})