// #define DEBUGGING #include #define endl '\n' #define ALL(V) (V).begin(), (V).end() #define ALLR(V) (V).rbegin(), (V).rend() template using V = std::vector; template using VV = V>; using ll = std::int64_t; using ull = std::uint64_t; using PLL = std::pair; using TLL = std::tuple; template const T& var_min(const T &t) { return t; } template const T& var_max(const T &t) { return t; } template const T& var_min(const T &t, const Tail&... tail) { return std::min(t, var_min(tail...)); } template const T& var_max(const T &t, const Tail&... tail) { return std::max(t, var_max(tail...)); } template void chmin(T &t, const Tail&... tail) { t = var_min(t, tail...); } template void chmax(T &t, const Tail&... tail) { t = var_max(t, tail...); } template const T& clamp(const T &t, const T &low, const T &high) { return std::max(low, std::min(high, t)); } template void chclamp(T &t, const T &low, const T &high) { return t = clamp(t, low, high); } namespace init__ { struct InitIO { InitIO() { std::cin.tie(nullptr); std::ios_base::sync_with_stdio(false); std::cout << std::fixed << std::setprecision(30); } } init_io; } #define mv_rec make_v(init, tail...) template T make_v(T init) { return init; } template auto make_v(T init, size_t s, Tail... tail) { return V(s, mv_rec); } #undef mv_rec using namespace std; #ifdef DEBUGGING #include "../../debug/debug.cpp" #else #define DEBUG(...) 0 #define DEBUG_SEPARATOR_LINE 0 #endif int main() { ll N; cin >> N; V A(N); for(ll &e : A) cin >> e; V buf = { 0 }; for(ll i = N - 1; 0 <= i; i--) { for(ll &e : buf) e ^= A[i]; sort(ALL(buf)); if(buf[0]) { buf.push_back(0); } else { for(ll j = 0; j < buf.size(); j++) { if(j + 1 == buf.size() || buf[j] + 1 < buf[j + 1]) { buf.push_back(buf[j] + 1); break; } } } } cout << (buf.back() ? "Takahashi" : "Takanashi") << endl; DEBUG(buf); return 0; }