/**
	author:  shobonvip
	created: 2025.08.22 21:08:58
**/

#include<bits/stdc++.h>
using namespace std;

//* ATCODER
#include<atcoder/all>
using namespace atcoder;
typedef modint998244353 mint;
//*/

/* BOOST MULTIPRECISION
#include<boost/multiprecision/cpp_int.hpp>
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--)
#define all(v) v.begin(), v.end()

template <typename T> bool chmin(T &a, const T &b) {
	if (a <= b) return false;
	a = b;
	return true;
}

template <typename T> bool chmax(T &a, const T &b) {
	if (a >= b) return false;
	a = b;
	return true;
}

template <typename T> T max(vector<T> &a){
	assert(!a.empty());
	T ret = a[0];
	for (int i=0; i<(int)a.size(); i++) chmax(ret, a[i]);
	return ret;
}

template <typename T> T min(vector<T> &a){
	assert(!a.empty());
	T ret = a[0];
	for (int i=0; i<(int)a.size(); i++) chmin(ret, a[i]);
	return ret;
}

template <typename T> T sum(vector<T> &a){
	T ret = 0;
	for (int i=0; i<(int)a.size(); i++) ret += a[i];
	return ret;
}

int main(){
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	

	vector mat(60, vector(10, vector<mint>(10)));

	vector<ll> tar = {1,-1,2,-2,4,-4,8,-8,1,-1};
	vector<ll> koho = {1,-1,2,-2};
	map<ll,int> taio;
	rep(i,0,8){
		taio[tar[i]]=i;
	}

	rep(i,0,10) {
		rep(j,0,4) {
			if (abs(tar[i] * koho[j]) > 8 || (tar[i]*koho[j]==-8 && tar[i]==8)) {
				if (tar[i]==8) {
					mat[0][taio[koho[j]]][i] += 1;
				}
			}else{
				if(i>=8&&abs(koho[j])==1){
					if(koho[j]*tar[i]==-1){
						mat[0][9][i] += 1;
					}else{
						mat[0][8][i] += 1;
					}
				}else{
					mat[0][taio[koho[j]*tar[i]]][i] += 1;
				}
			}
		}
	}

	rep(num,0,59){
		rep(i,0,10){
			rep(j,0,10){
				rep(k,0,10){
					mat[num+1][i][j]+=mat[num][i][k]*mat[num][k][j];
				}
			}
		}
	}

	int t; cin >> t;
	while(t--){
		ll n; cin >> n;
		vector<mint> ans(10);
		ans[8] = 1;
		rep(num,0,60){
			if(n>>num&1){
				vector<mint> nans(10);
				rep(i,0,10){
					rep(j,0,10){
						nans[i]+=mat[num][i][j]*ans[j];
					}
				}
				swap(nans,ans);
			}
		}
		cout<<(ans[6]+ans[0]).val()<<'\n';
	}
}