B'The Elements of Harmony are six supernatural artifacts representing subjective aspects of harmony. They are arguably the most powerful force in Equestria. The inside of Elements of Harmony can be seen as a complete graph with n vertices labeled from 0 to n xe2 x80 x89- xe2 x80 x891, where n is a power of two, equal to 2m. The energy in Elements of Harmony is in constant movement. According to the ancient book, the energy of vertex u in time i (ei[u]) equals to: Here b[] is the transformation coefficient -- an array of m xe2 x80 x89+ xe2 x80 x891 integers and f(u, xe2 x80 x89v) is the number of ones in the binary representation of number (u xor v). Given the transformation coefficient and the energy distribution at time 0 (e0[]). Help Twilight Sparkle predict the energy distribution at time t (et[]). The answer can be quite large, so output it modulo p. The first line contains three integers m, t and p (1 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89m xe2 x80 x89 xe2 x89 xa4 xe2 x80 x8920; 0 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89t xe2 x80 x89 xe2 x89 xa4 xe2 x80 x891018; 2 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89p xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89109). The following line contains n (n xe2 x80 x89= xe2 x80 x892m) integers e0[i] (1 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89e0[i] xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89109; 0 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89i xe2 x80 x89< xe2 x80 x89n). The next line contains m xe2 x80 x89+ xe2 x80 x891 integers b[i] (0 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89b[i] xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89109; 0 xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89i xe2 x80 x89 xe2 x89 xa4 xe2 x80 x89m). Output n lines, the i-th line must contain a single integer et[i] modulo p.'...