#include #include #include #include #include #include #include #include #include #include #include #include using namespace std; typedef long long ll; #define lscan(x) scanf("%I64d",&x); #define lprint(x) printf("%I64d",x); ll gcd(ll a, ll b) { int c = a % b; while (c != 0) { a = b; b = c; c = a % b; } return b; } long long extGCD(long long a, long long b, long long &x, long long &y) { if (b == 0) { x = 1; y = 0; return a; } long long d = extGCD(b, a%b, y, x); y -= a / b * x; return d; } struct UnionFind { vector par; UnionFind(int N) : par(N) { for (int i = 0; i < N; i++) par[i] = i; } int root(int x) { if (par[x] == x) return x; return par[x] = root(par[x]); } void unite(int x, int y) { int rx = root(x); int ry = root(y); if (rx == ry) return; par[rx] = ry; } bool same(int x, int y) { int rx = root(x); int ry = root(y); return rx == ry; } }; ll M = 1000000007; vector fac(1000001); //n!(mod M) vector ifac(1000001); //k!^{M-2} (mod M) ll mpow(ll x, ll n) { ll ans = 1; while (n != 0) { if (n & 1) ans = ans * x % M; x = x * x % M; n = n >> 1; } return ans; } ll mpow2(ll x, ll n, ll mod) { ll ans = 1; while (n != 0) { if (n & 1) ans = ans * x % mod; x = x * x % mod; n = n >> 1; } return ans; } void setcomb() { fac[0] = 1; ifac[0] = 1; for (ll i = 0; i < 1000000; i++) { fac[i + 1] = fac[i] * (i + 1) % M; // n!(mod M) } ifac[1000000] = mpow(fac[1000000], M - 2); for (ll i = 1000000; i > 0; i--) { ifac[i - 1] = ifac[i] * i%M; } } ll comb(ll a, ll b) { if (a == 0 && b == 0)return 1; if (a < b || a < 0)return 0; ll tmp = ifac[a - b] * ifac[b] % M; return tmp * fac[a] % M; } ll perm(ll a, ll b) { if (a == 0 && b == 0)return 1; if (a < b || a < 0)return 0; return fac[a] * ifac[a - b] % M; } long long modinv(long long a) { long long b = M, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; swap(a, b); u -= t * v; swap(u, v); } u %= M; if (u < 0) u += M; return u; } vector> mul(vector> a, vector> b, int n) { int i, j, k, t; vector> c(n); for (i = 0; i < n; i++) { for (j = 0; j < n; j++) { t = 0; for (k = 0; k < n; k++) t = (t + a[i][k] * b[k][j] % M) % M; c[i].push_back(t); } } return c; } template< typename Monoid > struct SegmentTree { using F = function< Monoid(Monoid, Monoid) >; int sz; vector< Monoid > seg; const F f; const Monoid M1; SegmentTree(int n, const F f, const Monoid &M1) : f(f), M1(M1) { sz = 1; while (sz < n) sz <<= 1; seg.assign(2 * sz, M1); } void set(int k, const Monoid &x) { seg[k + sz] = x; } void build() { for (int k = sz - 1; k > 0; k--) { seg[k] = f(seg[2 * k + 0], seg[2 * k + 1]); } } void update(int k, const Monoid &x) { k += sz; seg[k] = x; while (k >>= 1) { seg[k] = f(seg[2 * k + 0], seg[2 * k + 1]); } } Monoid query(int a, int b) { Monoid L = M1, R = M1; for (a += sz, b += sz; a < b; a >>= 1, b >>= 1) { if (a & 1) L = f(L, seg[a++]); if (b & 1) R = f(seg[--b], R); } return f(L, R); } Monoid operator[](const int &k) const { return seg[k + sz]; } template< typename C > int find_subtree(int a, const C &check, Monoid &M, bool type) { while (a < sz) { Monoid nxt = type ? f(seg[2 * a + type], M) : f(M, seg[2 * a + type]); if (check(nxt)) a = 2 * a + type; else M = nxt, a = 2 * a + 1 - type; } return a - sz; } template< typename C > int find_first(int a, const C &check) { Monoid L = M1; if (a <= 0) { if (check(f(L, seg[1]))) return find_subtree(1, check, L, false); return -1; } int b = sz; for (a += sz, b += sz; a < b; a >>= 1, b >>= 1) { if (a & 1) { Monoid nxt = f(L, seg[a]); if (check(nxt)) return find_subtree(a, check, L, false); L = nxt; ++a; } } return -1; } template< typename C > int find_last(int b, const C &check) { Monoid R = M1; if (b >= sz) { if (check(f(seg[1], R))) return find_subtree(1, check, R, true); return -1; } int a = sz; for (b += sz; a < b; a >>= 1, b >>= 1) { if (b & 1) { Monoid nxt = f(seg[--b], R); if (check(nxt)) return find_subtree(b, check, R, true); R = nxt; } } return -1; } }; template< unsigned mod > struct RollingHash { vector< unsigned > hashed, power; inline unsigned mul(unsigned a, unsigned b) const { unsigned long long x = (unsigned long long) a * b; unsigned xh = (unsigned)(x >> 32), xl = (unsigned)x, d, m; asm("divl %4; \n\t" : "=a" (d), "=d" (m) : "d" (xh), "a" (xl), "r" (mod)); return m; } RollingHash(const string &s, unsigned base = 10007) { int sz = (int)s.size(); hashed.assign(sz + 1, 0); power.assign(sz + 1, 0); power[0] = 1; for (int i = 0; i < sz; i++) { power[i + 1] = mul(power[i], base); hashed[i + 1] = mul(hashed[i], base) + s[i]; if (hashed[i + 1] >= mod) hashed[i + 1] -= mod; } } unsigned get(int l, int r) const { unsigned ret = hashed[r] + mod - mul(hashed[l], power[r - l]); if (ret >= mod) ret -= mod; return ret; } unsigned connect(unsigned h1, int h2, int h2len) const { unsigned ret = mul(h1, power[h2len]) + h2; if (ret >= mod) ret -= mod; return ret; } int LCP(const RollingHash< mod > &b, int l1, int r1, int l2, int r2) { int len = min(r1 - l1, r2 - l2); int low = -1, high = len + 1; while (high - low > 1) { int mid = (low + high) / 2; if (get(l1, l1 + mid) == b.get(l2, l2 + mid)) low = mid; else high = mid; } return (low); } }; using RH = RollingHash< 1000000007 >; int main() { ll n, i, a[2222], x = 0; cin >> n; for (i = 0; i < n; i++) cin >> a[i]; for (i = 0; i < n; i++) { x = x ^ a[i]; if (x == 0) { cout << "Takahashi" << endl; return 0; } } cout << "Takanashi" << endl; }