B"John Doe offered his sister Jane Doe find the gcd of some set of numbers a. Gcd is a positive integer g, such that all number from the set are evenly divisible by g and there isn't such g' (g' xe2 x80 x89> xe2 x80 x89g), that all numbers of the set are evenly divisible by g'. Unfortunately Jane couldn't cope with the task and John offered her to find the ghd of the same subset of numbers. Ghd is a positive integer g, such that at least half of numbers from the set are evenly divisible by g and there isn't such g' (g' xe2 x80 x89> xe2 x80 x89g) that at least half of the numbers from the set are evenly divisible by g'. Jane coped with the task for two hours. Please try it, too. The first line contains an integer n (1 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89n xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89106) showing how many numbers are in set a. The second line contains space-separated integers a1, xe2 x80 x89a2, xe2 x80 x89..., xe2 x80 x89an (1 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89ai xe2 x80 x89 xe2 x89 xa4 xe2 x80 x891012). Please note, that given set can contain equal numbers. Please, do not write the %lld specifier to read or write 64-bit integers in xd0 xa1++. It is preferred to use the %I64d specifier. Print a single integer g -- the Ghd of set a."...