Once upon a time there was a planet named PLANET X. Mario went there to discover this planet. He talked to everyone there and tried to make friends with the aliens. But due to some reasons, some of them became friends while the others, enemy. But the distribution was also unique. In country 1 Mario has as many friend as enemies. But one enemy has twice numbers of his enemy than his friend. In country 2 Mario also has as many friend as enemies. But this time one enemy has (3/2) times of his enemy than his friend. And it goes like in country 3,4,...100 Mario has same number of friends and enemies. But one enemy has 4/3 times of his enemy than his friend. What is the population of Planet X?