import std.conv, std.functional, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.container, std.math, std.numeric, std.range, std.regex, std.typecons; import core.bitop; class EOFException : Throwable { this() { super("EOF"); } } string[] tokens; string readToken() { for (; tokens.empty; ) { if (stdin.eof) { throw new EOFException; } tokens = readln.split; } auto token = tokens.front; tokens.popFront; return token; } int readInt() { return readToken.to!int; } long readLong() { return readToken.to!long; } real readReal() { return readToken.to!real; } bool chmin(T)(ref T t, in T f) { if (t > f) { t = f; return true; } else { return false; } } bool chmax(T)(ref T t, in T f) { if (t < f) { t = f; return true; } else { return false; } } int binarySearch(alias pred, T)(in T[] as) { int lo = -1, hi = cast(int)(as.length); for (; lo + 1 < hi; ) { const mid = (lo + hi) >> 1; (unaryFun!pred(as[mid]) ? hi : lo) = mid; } return hi; } int lowerBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a >= val)); } int upperBound(T)(in T[] as, T val) { return as.binarySearch!(a => (a > val)); } // a b (mod m) ulong multiply(ulong a, ulong b, ulong m) in { assert(m < 1UL << 63, "multiply: m < 2^63 must hold"); assert(a < m, "multiply: a < m must hold"); assert(b < m, "multiply: b < m must hold"); } do { ulong c = 0; for (; a; a >>= 1) { if (a & 1) { c += b; if (c >= m) c -= m; } b <<= 1; if (b >= m) b -= m; } return c; } long P, B; void main() { try { for (; ; ) { P = readLong(); B = readLong(); for (int n = 1; n <= 1 << 16; n <<= 1) { auto BB = new long[n]; BB[0] = 1; foreach (i; 1 .. n) { BB[i] = multiply(BB[i - 1], B, P); } debug { writeln("n = ", n); writeln(" BB = ", BB); } int k = n; auto l = new int[2 * n]; auto r = new int[2 * n]; l[] = -1; r[] = -1; auto crt = new Tuple!(long, int)[n]; foreach (i; 0 .. n) { crt[i] = tuple(BB[i], i); } for (; crt.length > 1; ) { crt.sort; debug { writeln(" crt = ", crt); } Tuple!(long, int)[] nxt; for (int j = 0; j < crt.length; j += 2) { nxt ~= tuple(crt[j + 1][0] - crt[j + 0][0], k); l[k] = crt[j + 0][1]; r[k] = crt[j + 1][1]; ++k; if (nxt[$ - 1][0] == 0) { auto sigs = new int[n]; void dfs(int u, int s) { if (u < n) { sigs[u] = s; } else { dfs(l[u], -s); dfs(r[u], +s); } } dfs(k - 1, +1); auto ansS = new char[n]; auto ansT = new char[n]; foreach (i; 0 .. n) { switch (sigs[i]) { case -1: ansS[i] = 'a'; ansT[i] = 'b'; break; case 0: ansS[i] = 'a'; ansT[i] = 'a'; break; case +1: ansS[i] = 'b'; ansT[i] = 'a'; break; default: assert(false); } } ansS.reverse; ansT.reverse; writeln(ansS.to!string); writeln(ansT.to!string); goto found; } } crt = nxt; } } found:; } } catch (EOFException e) { } }