During a short break in a hot battle against Kappel's corps, Petka and Chapaev brought boxes with cartridges for the Anka's Maxim gun.
The Red Army men were exhausted because they had carried more than one box with cartridges to the machine gun, and each box contained at least one hundred cartridges. Anka noticed that there was the same number of cartridges in all boxes.
She wanted to put all the cartridges in several pockets so that the greatest common divisor of the numbers of cartridges in her pockets would be as large as possible. Among all the variants of such an arrangement, she wanted to choose the variant in which the least common multiple of the numbers of cartridges in her pockets would be as large as possible too. How could she do it?
The only input line contains the total number n of cartridges Petka and Chapaev brought (200 ≤ n ≤ 109).