import std.conv, std.functional, std.range, std.stdio, std.string; import std.algorithm, std.array, std.bigint, std.bitmanip, std.complex, std.container, std.math, std.mathspecial, std.numeric, 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)); } void main() { debug { enum lim = 8; auto dp4 = new int[][][][][](4 + 1, lim, lim, lim, lim); foreach_reverse (i; 0 .. 4 + 1) { foreach (a; 0 .. lim) foreach (b; 0 .. lim) foreach (c; 0 .. lim) foreach (d; 0 .. lim) { int[] xs; foreach (j; i + 1 .. 4 + 1) { xs ~= dp4[j][a][b][c][d]; } if (0 < i) foreach (aa; 0 .. a) xs ~= dp4[i][aa][b][c][d]; if (1 < i) foreach (bb; 0 .. b) xs ~= dp4[i][a][bb][c][d]; if (2 < i) foreach (cc; 0 .. c) xs ~= dp4[i][a][b][cc][d]; if (3 < i) foreach (dd; 0 .. d) xs ~= dp4[i][a][b][c][dd]; xs = xs.sort.uniq.array; int x; for (x = 0; x < xs.length; ++x) { if (xs[x] != x) { break; } } dp4[i][a][b][c][d] = x; } } foreach (a; 0 .. lim) foreach (b; 0 .. lim) foreach (c; 0 .. lim) foreach (d; 0 .. lim) { if ((dp4[0][a][b][c][d] != 0) != ([a, a ^ b, a ^ b ^ c, a ^ b ^ c ^ d].count(0) >= 1 || [a, a ^ b, a ^ b ^ c, a ^ b ^ c ^ d].count(1) >= 2)) { writeln([a, b, c, d], ": ", dp4[0][a][b][c][d], "; ", [a, a ^ b, a ^ b ^ c, a ^ b ^ c ^ d]); } } } try { for (; ; ) { const N = readInt(); auto A = new long[N]; foreach (i; 0 .. N) { A[i] = readLong(); } bool ans; long[long] cnt; long sum; foreach (i; 0 .. N) { sum ^= A[i]; ++cnt[sum]; } int y; foreach (x; 0 .. N) { if (x in cnt) { y += cnt[x]; } ans = ans || (y > x); } writeln(ans ? "Takahashi" : "Takanashi"); } } catch (EOFException e) { } }