#include using namespace std; using ll = long long; template struct prime_modint { using mint = prime_modint; unsigned int v; prime_modint() : v(0) {} prime_modint(unsigned int a) { a %= MOD; v = a; } prime_modint(int a) { a %= (int)(MOD); if(a < 0)a += MOD; v = a; } prime_modint(long long a) { a %= (int)(MOD); if(a < 0)a += MOD; v = a; } static constexpr int mod() { return MOD; } mint& operator++() {v++; if(v == MOD)v = 0; return *this;} mint& operator--() {if(v == 0)v = MOD; v--; return *this;} mint operator++(int) { mint result = *this; ++*this; return result; } mint operator--(int) { mint result = *this; --*this; return result; } mint& operator+=(const mint& rhs) { v += rhs.v; if(v >= MOD) v -= MOD; return *this; } mint& operator-=(const mint& rhs) { if(v < rhs.v) v += MOD; v -= rhs.v; return *this; } mint& operator*=(const mint& rhs) { v = (unsigned int)((unsigned long long)(v) * rhs.v % MOD); return *this; } mint& operator/=(const mint& rhs) { return *this = *this * rhs.inv(); } mint operator+() const { return *this; } mint operator-() const { return mint() - *this; } mint pow(long long n) const { assert(0 <= n); mint r = 1, x = *this; while (n) { if (n & 1) r *= x; x *= x; n >>= 1; } return r; } mint inv() const { assert(v); return pow(MOD - 2); } friend mint operator+(const mint& lhs, const mint& rhs) { return mint(lhs) += rhs; } friend mint operator-(const mint& lhs, const mint& rhs) { return mint(lhs) -= rhs; } friend mint operator*(const mint& lhs, const mint& rhs) { return mint(lhs) *= rhs; } friend mint operator/(const mint& lhs, const mint& rhs) { return mint(lhs) /= rhs; } friend bool operator==(const mint& lhs, const mint& rhs) { return (lhs.v == rhs.v); } friend bool operator!=(const mint& lhs, const mint& rhs) { return (lhs.v != rhs.v); } friend std::ostream& operator << (std::ostream &os, const mint& rhs) noexcept { return os << rhs.v; } }; //using mint = prime_modint<1000000007>; using mint = prime_modint<998244353>; //enumeration enu(200000);のように宣言する template struct enumeration{ int _n; vector fact,inv; enumeration() : _n(1),fact(1){} enumeration(int n) : _n(n+1),fact(n+1),inv(n+1){ fact[0]=1; for(int i=1;i<=n;i++)fact[i]=fact[i-1]*i; inv[n]=T(1)/fact[n]; for(int i=n-1;i>=0;i--)inv[i]=inv[i+1]*(i+1); } T Per(int n,int k){ if(k>n)return 0; return fact[n]*inv[n-k]; } T C(int n,int k){ if(n<0||k<0||k>n)return 0; return fact[n]*inv[n-k]*inv[k]; } T H(int n,int k){ if(n==0&&k==0)return 1; if(n<=0||k<0)return 0; return C(n+k-1,k); } }; int main(){ ios::sync_with_stdio(false); cin.tie(0); int T, n, m; cin >> T; enumeration enu(500000); vector pow2(200001); pow2[0] = 1; for(int i = 0; i < 200001; i++)pow2[i + 1] = pow2[i] + pow2[i]; while(T--){ cin >> n >> m; mint ans = 0; /*for(int i = 0; i < m; i++){ ans += (mint(2).pow(n) - 1) * enu.C(n - 1, i); }*/ //ans = (mint(2).pow(n) - 1) * (enu.C(n - 1 + m - 1, m - 1)); if(n - 1 >= 2 * m){ for(int i = 0; i < m; i++) ans += enu.C(n - 1, i); ans *= pow2[n] - 1; }else{ m = n - 1 - m; for(int i = 0; i <= m; i++)ans += enu.C(n - 1, i); ans = pow2[n - 1] - ans; ans *= pow2[n] - 1; } cout << ans << '\n'; } }