#include <bits/stdc++.h>
using namespace std;
#include <atcoder/modint>
using mint = atcoder::modint998244353;

array<mint,(int)1e6+1> dp;

int main(){
  ios::sync_with_stdio(false),cin.tie(0);
  mint t = 1,u = 2,inv2 = mint(1)/2;
  for (int i(3);i <= 1e6;++i){
    dp[i] = dp[i-1]*(u+u)*u;
    dp[i] -= (t-1)*(u)*(u);
    dp[i] += (u+1)*(u)*inv2-1;
    t += t,u += u;
  }
  int q; cin >> q;
  while(q--){
  	int n; cin >> n;
  	cout << (dp[n]+1).val() << '\n';
  }
}