The political Party needs some money to lead its campaign. PSOS have insufficient funds in this time, so they want to earn some money. One of the new members have designed a completely Electronic Roulette in Monte Carlo some time ago. During the obligatory Learn-How-to-Say-the-Truth Course, the member said that the random number generator follows the equation:
xk+1 = (A * xk) mod 47
in which xk+1 is the random number following the previous number xk, and A is the Constant of the Day that is determined by the director Karl Monte each morning. PSOS sent several members to Monte Carlo immediately, to get some money. The problem is that the author of the algorithm suddenly died during the Course. PSOS now need somebody who is able to break the algorithm and predict pseudo-random numbers. Given the succession
xt-n, xt-n+1, ..., xt-1, xt
the program should be able to decide, what the next number xt+1 will be. The Constant A is always integer, non-negative, and less then 1000000. All the numbers xi are integer and non-negative.