#pragma GCC optimize("Ofast")
#pragma GCC target("avx2")

#define rd_init() char*rp=({char*mmap();mmap(0l,1l<<25,1,2,0,0ll);})
#define rd() ({int _v=0,_c;while(_c=*rp++-48,_c>=0)_v=_v*10+_c;_v;})
#define WTHI(v) {unsigned _z=v,_n=0;long _d=0;while(++_n,_d=_d<<8|0x30|_z%10,_z/=10);*(long*)wp=_d;wp+=_n;}
#define wt(v) if(v>=100000000){WTHI(v/10);*wp++=v%10+'0';}else{WTHI(v);}
#define rep(v,e) for(typeof(e)v=0;v<e;++v)
#define repeat(e) for(typeof(e)_=e;_--;)
#define MD 998244353

typedef unsigned long ulong;

char wbuf[1<<25];
ulong p2[8][256];
ulong p3[4][256];

int main(){
	{
		ulong y=2;
		rep(i,8){
			p2[i][0]=1;
			ulong x=y;
			rep(j,255){
				p2[i][j+1]=y;
				y=y*x%MD;
			}
		}
	}
	{
		ulong y=249561089;
		rep(i,4){
			p3[i][0]=1;
			ulong x=y;
			rep(j,255){
				p3[i][j+1]=y;
				y=y*x%MD;
			}
		}
	}
	char*wp=wbuf;
	rd_init();
	int t=rd();
	repeat(t){
		ulong n=rd();
		ulong n2=n*(n-1)>>1;
		unsigned z=((p3[0][n&255]*p3[1][n>>8&255]%MD*p3[2][n>>16&255]%MD*p3[3][n>>24&255]%MD*443664156+1)%MD*(n-1)+1)%MD
			*p2[0][n2&255]%MD
			*p2[1][n2>>8&255]%MD
			*p2[2][n2>>16&255]%MD
			*p2[3][n2>>24&255]%MD
			*p2[4][n2>>32&255]%MD
			*p2[5][n2>>40&255]%MD
			*p2[6][n2>>48&255]%MD
			*p2[7][n2>>56&255]%MD;
		wt(z);
		*wp++='\n';
	}
	write(1,wbuf,wp-wbuf);
	_exit(0);
}