#include <bits/stdc++.h>   #pragma GCC optimize( Ofast )   #pragma GCC optimize( unroll-loops )   using namespace std;   using ll = long long;   template <class t, class u>   bool chmax(t& first, u second) {     if (first < second) {       first = second;       return true;     } else       return false;   }   template <class t, class u>   bool chmin(t& first, u second) {     if (second < first) {       first = second;       return true;     } else       return false;   }   template <class t>   using vc = vector<t>;   template <class t>   using vvc = vc<vc<t>>;   using pi = pair<ll, ll>;   using vi = vc<ll>;   template <class t, class u>   ostream& operator<<(ostream& os, const pair<t, u>& p) {     return os <<  {  << p.first <<  ,  << p.second <<  } ;   }   template <class t>   ostream& operator<<(ostream& os, const vc<t>& v) {     os <<  { ;     for (auto e : v) os << e <<  , ;     return os <<  } ;   }   using uint = unsigned;   using ull = unsigned long long;   template <class t, size_t n>   ostream& operator<<(ostream& os, const array<t, n>& first) {     return os << vc<t>(first.begin(), first.end());   }   template <ll i, class T>   void print_tuple(ostream&, const T&) {}   template <ll i, class T, class H, class... Args>   void print_tuple(ostream& os, const T& t) {     if (i) os <<  , ;     os << get<i>(t);     print_tuple<i + 1, T, Args...>(os, t);   }   template <class... Args>   ostream& operator<<(ostream& os, const tuple<Args...>& t) {     os <<  { ;     print_tuple<0, tuple<Args...>, Args...>(os, t);     return os <<  } ;   }   template <class t>   void print(t x, ll suc = 1) {     cout << x;     if (suc == 1) cout <<   n ;     if (suc == 2) cout <<    ;   }   ll read() {     ll i;     cin >> i;     return i;   }   vi readvi(ll n, ll off = 0) {     vi v(n);     for (ll i = ll(0); i < ll(n); i++) v[i] = read() + off;     return v;   }   pi readpi(ll off = 0) {     ll first, second;     cin >> first >> second;     return pi(first + off, second + off);   }   template <class t, class u>   void print(const pair<t, u>& p, ll suc = 1) {     print(p.first, 2);     print(p.second, suc);   }   template <class T>   void print(const vector<T>& v, ll suc = 1) {     for (ll i = ll(0); i < ll(v.size()); i++)       print(v[i], i == ll(v.size()) - 1 ? suc : 2);   }   template <class T>   void print_offset(const vector<T>& v, ll off, ll suc = 1) {     for (ll i = ll(0); i < ll(v.size()); i++)       print(v[i] + off, i == ll(v.size()) - 1 ? suc : 2);   }   template <class T, size_t N>   void print(const array<T, N>& v, ll suc = 1) {     for (ll i = ll(0); i < ll(N); i++) print(v[i], i == ll(N) - 1 ? suc : 2);   }   string readString() {     string s;     cin >> s;     return s;   }   template <class T>   T sq(const T& t) {     return t * t;   }   void yes(bool ex = true) {     cout <<  Yes           <<   n ;     if (ex) exit(0);   }   void no(bool ex = true) {     cout <<  No           <<   n ;     if (ex) exit(0);   }   void possible(bool ex = true) {     cout <<  Possible           <<   n ;     if (ex) exit(0);   }   void impossible(bool ex = true) {     cout <<  Impossible           <<   n ;     if (ex) exit(0);   }   constexpr ll ten(ll n) { return n == 0 ? 1 : ten(n - 1) * 10; }   const ll infLL = LLONG_MAX / 3;   const ll inf = infLL;   ll topbit(signed t) { return t == 0 ? -1 : 31 - __builtin_clz(t); }   ll topbit(ll t) { return t == 0 ? -1 : 63 - __builtin_clzll(t); }   ll botbit(signed first) { return first == 0 ? 32 : __builtin_ctz(first); }   ll botbit(ll first) { return first == 0 ? 64 : __builtin_ctzll(first); }   ll popcount(signed t) { return __builtin_popcount(t); }   ll popcount(ll t) { return __builtin_popcountll(t); }   bool ispow2(ll i) { return i && (i & -i) == i; }   ll mask(ll i) { return (ll(1) << i) - 1; }   bool inc(ll first, ll second, ll c) { return first <= second && second <= c; }   template <class t>   void mkuni(vc<t>& v) {     sort(v.begin(), v.end());     v.erase(unique(v.begin(), v.end()), v.end());   }   ll rand_int(ll l, ll r) {     static mt19937_64 gen(chrono::steady_clock::now().time_since_epoch().count());     return uniform_int_distribution<ll>(l, r)(gen);   }   template <class t>   void myshuffle(vc<t>& first) {     for (ll i = ll(0); i < ll(ll(first.size())); i++)       swap(first[i], first[rand_int(0, i)]);   }   template <class t>   ll lwb(const vc<t>& v, const t& first) {     return lower_bound(v.begin(), v.end(), first) - v.begin();   }   vvc<ll> readGraph(ll n, ll m) {     vvc<ll> g(n);     for (ll i = ll(0); i < ll(m); i++) {       ll first, second;       cin >> first >> second;       first--;       second--;       g[first].push_back(second);       g[second].push_back(first);     }     return g;   }   vvc<ll> readTree(ll n) { return readGraph(n, n - 1); }   struct modinfo {     uint mod, root;   };   template <modinfo const& ref>   struct modular {     static constexpr uint const& mod = ref.mod;     static modular root() { return modular(ref.root); }     uint v;     modular(ll vv = 0) { s(vv % mod + mod); }     modular& s(uint vv) {       v = vv < mod ? vv : vv - mod;       return *this;     }     modular operator-() const { return modular() - *this; }     modular& operator+=(const modular& rhs) { return s(v + rhs.v); }     modular& operator-=(const modular& rhs) { return s(v + mod - rhs.v); }     modular& operator*=(const modular& rhs) {       v = ull(v) * rhs.v % mod;       return *this;     }     modular& operator/=(const modular& rhs) { return *this *= rhs.inv(); }     modular operator+(const modular& rhs) const { return modular(*this) += rhs; }     modular operator-(const modular& rhs) const { return modular(*this) -= rhs; }     modular operator*(const modular& rhs) const { return modular(*this) *= rhs; }     modular operator/(const modular& rhs) const { return modular(*this) /= rhs; }     modular pow(ll n) const {       if (n < 0) return inv().pow(-n);       modular res(1), x(*this);       while (n) {         if (n & 1) res *= x;         x *= x;         n >>= 1;       }       return res;     }     modular inv() const { return pow(mod - 2); }     friend modular operator+(ll x, const modular& y) { return modular(x) + y; }     friend modular operator-(ll x, const modular& y) { return modular(x) - y; }     friend modular operator*(ll x, const modular& y) { return modular(x) * y; }     friend modular operator/(ll x, const modular& y) { return modular(x) / y; }     friend ostream& operator<<(ostream& os, const modular& m) {       return os << m.v;     }     friend istream& operator>>(istream& is, modular& m) {       ll x;       is >> x;       m = modular(x);       return is;     }     bool operator<(const modular& r) const { return v < r.v; }     bool operator==(const modular& r) const { return v == r.v; }     bool operator!=(const modular& r) const { return v != r.v; }     explicit operator bool() const { return v; }   };   extern constexpr modinfo base{998244353, 3};   using mint = modular<base>;   const ll kmax = ten(7) + 10;   mint p2[kmax], i2[kmax], w[kmax];   mint j2[kmax], z[kmax];   ll cnt[kmax];   mint sub(ll n, ll m) {     mint num = 0, den = 1;     mint pn = mint(2).pow(n), nmd = 1, dd = 1;     ll s = min(n, m);     j2[s] = pn.inv();     for (ll i = ll(s) - 1; i >= ll(0); i--) j2[i] = j2[i + 1] * 2;     cnt[0] = 0;     z[0] = 1;     for (ll i = ll(0); i < ll(s); i++) {       if (j2[i + 1] == 1) {         cnt[i + 1] = cnt[i] + 1;         z[i + 1] = 1;       } else {         cnt[i + 1] = cnt[i];         z[i + 1] = z[i] * (1 - j2[i + 1]);       }     }     for (ll d = ll(0); d < ll(min(n, m) + 1); d++) {       if (cnt[s - d] == cnt[s]) {         mint x = nmd * z[s] * w[m];         mint y = dd * z[s - d] * w[m - d] * w[d];         tie(num, den) = make_pair(num * y + x * den, den * y);       }       nmd *= pn * p2[m];       dd *= sq(p2[d]);     }     return num / den;   }   void slv() {     ll n, k, unko;     cin >> n >> k >> unko;     if (unko == 0) {       if (n > k) {         print(0);       } else {         mint ans = 1;         for (ll i = ll(0); i < ll(n); i++) ans *= p2[k] - p2[i];         print(ans);       }     } else {       mint fsum = sub(n, k);       mint ans = (p2[k].pow(n) * p2[k] - fsum) / (p2[k] - 1);       print(ans);     }   }   signed main() {     cin.tie(0);     ios::sync_with_stdio(0);     cout << fixed << setprecision(20);     p2[0] = 1;     for (ll i = ll(1); i < ll(kmax); i++) p2[i] = p2[i - 1] * 2;     i2[kmax - 1] = p2[kmax - 1].inv();     for (ll i = ll(kmax) - 1; i >= ll(1); i--) i2[i - 1] = i2[i] * 2;     w[0] = 1;     for (ll i = ll(1); i < ll(kmax); i++) w[i] = w[i - 1] * (1 - i2[i]);     ll t;     cin >> t;     for (ll _ = ll(0); _ < ll(t); _++) slv();   }