#include using namespace std; //* ATCODER #include using namespace atcoder; typedef modint998244353 mint; //*/ /* BOOST MULTIPRECISION #include using namespace boost::multiprecision; //*/ typedef long long ll; #define rep(i, s, n) for (int i = (int)(s); i < (int)(n); i++) #define rrep(i, s, n) for (int i = (int)(n)-1; i >= (int)(s); i--) template bool chmin(T &a, const T &b) { if (a <= b) return false; a = b; return true; } template bool chmax(T &a, const T &b) { if (a >= b) return false; a = b; return true; } template T max(vector &a){ assert(!a.empty()); T ret = a[0]; for (int i=0; i<(int)a.size(); i++) chmax(ret, a[i]); return ret; } template T min(vector &a){ assert(!a.empty()); T ret = a[0]; for (int i=0; i<(int)a.size(); i++) chmin(ret, a[i]); return ret; } template T sum(vector &a){ T ret = 0; for (int i=0; i<(int)a.size(); i++) ret += a[i]; return ret; } ll floor_sqrt(ll n){ ll ub = 3e9 + 30; ll lb = 0; while(ub - lb > 1){ ll t = (ub + lb) / 2; if (t * t <= n){ lb = t; }else{ ub = t; } } return lb; } //defmodfact const int COMinitMAX = 992844; mint fact[COMinitMAX+1], factinv[COMinitMAX+1]; void modfact(){ fact[0] = 1; for (int i=1; i<=COMinitMAX; i++){ fact[i] = fact[i-1] * i; } factinv[COMinitMAX] = fact[COMinitMAX].inv(); for (int i=COMinitMAX-1; i>=0; i--){ factinv[i] = factinv[i+1] * (i+1); } } mint cmb(int a, int b){ if (a> n >> k; ll v = (n+1)*(n+1)-k*4; ll sv = floor_sqrt(v); //cout << v << ' ' << sv << endl; if (sv * sv != v){ cout << 0 << '\n'; return; } if ((n+1+sv) % 2 != 0){ cout << 0 << '\n'; return; } mint ans = 0; { ll targ = (n+1-sv) / 2; ans += cmb(n, targ-1); } { ll targ = (n+1+sv) / 2; if (sv != 0){ ans += cmb(n, targ-1); } } cout << ans.val() << '\n'; } int main(){ modfact(); int t; cin >> t; while(t--) solve(); }