B"Vanya has a scales for weighing loads and weights of masses w0, xe2 x80 x89w1, xe2 x80 x89w2, xe2 x80 x89..., xe2 x80 x89w100 grams where w is some integer not less than 2 (exactly one weight of each nominal value). Vanya wonders whether he can weight an item with mass m using the given weights, if the weights can be put on both pans of the scales. Formally speaking, your task is to determine whether it is possible to place an item of mass m and some weights on the left pan of the scales, and some weights on the right pan of the scales so that the pans of the scales were in balance. The first line contains two integers w, xe2 x80 x89m (2 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89w xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89109, 1 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89m xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89109) -- the number defining the masses of the weights and the mass of the item. Print word 'YES' if the item can be weighted and 'NO' if it cannot. Note to the first sample test. One pan can have an item of mass 7 and a weight of mass 3, and the second pan can have two weights of masses 9 and 1, correspondingly. Then 7 xe2 x80 x89+ xe2 x80 x893 xe2 x80 x89= xe2 x80 x899 xe2 x80 x89+ xe2 x80 x891. Note to the second sample test. One pan of the scales can have an item of mass 99 and the weight of mass 1, and the second pan can have the weight of mass 100. Note to the third sample test. It is impossible to measure the weight of the item in the manner described in the input. "...