// what is matter? never mind. 
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
//#pragma GCC target("sse,sse2,sse3,sse4,popcnt,abm,mmx,avx,avx2") 
#include<bits/stdc++.h>
#define For(i,a,b) for(int i=(a);i<=(b);++i)
#define Rep(i,a,b) for(int i=(a);i>=(b);--i)
#define ll long long
//#define int long long
#define ull unsigned long long
#define SZ(x) ((int)((x).size()))
#define ALL(x) (x).begin(),(x).end()
using namespace std;
inline int read()
{
	char c=getchar();int x=0;bool f=0;
	for(;!isdigit(c);c=getchar())f^=!(c^45);
	for(;isdigit(c);c=getchar())x=(x<<1)+(x<<3)+(c^48);
	if(f)x=-x;return x;
}

#define mod 998244353
struct modint{
	int x;
	modint(int o=0){x=o;}
	modint &operator = (int o){return x=o,*this;}
	modint &operator +=(modint o){return x=x+o.x>=mod?x+o.x-mod:x+o.x,*this;}
	modint &operator -=(modint o){return x=x-o.x<0?x-o.x+mod:x-o.x,*this;}
	modint &operator *=(modint o){return x=1ll*x*o.x%mod,*this;}
	modint &operator ^=(int b){
		modint a=*this,c=1;
		for(;b;b>>=1,a*=a)if(b&1)c*=a;
		return x=c.x,*this;
	}
	modint &operator /=(modint o){return *this *=o^=mod-2;}
	friend modint operator +(modint a,modint b){return a+=b;}
	friend modint operator -(modint a,modint b){return a-=b;}
	friend modint operator *(modint a,modint b){return a*=b;}
	friend modint operator /(modint a,modint b){return a/=b;}
	friend modint operator ^(modint a,int b){return a^=b;}
	friend bool operator ==(modint a,modint b){return a.x==b.x;}
	friend bool operator !=(modint a,modint b){return a.x!=b.x;}
	bool operator ! () {return !x;}
	modint operator - () {return x?mod-x:0;}
	bool operator <(const modint&b)const{return x<b.x;}
};
inline modint qpow(modint x,int y){return x^y;}

vector<modint> fac,ifac,iv;
inline void initC(int n)
{
	if(iv.empty())fac=ifac=iv=vector<modint>(2,1);
	int m=iv.size(); ++n;
	if(m>=n)return;
	iv.resize(n),fac.resize(n),ifac.resize(n);
	For(i,m,n-1){
		iv[i]=iv[mod%i]*(mod-mod/i);
		fac[i]=fac[i-1]*i,ifac[i]=ifac[i-1]*iv[i];
	}
}
inline modint C(int n,int m){
	if(m<0||n<m)return 0;
	return initC(n),fac[n]*ifac[m]*ifac[n-m];
}
inline modint sign(int n){return (n&1)?(mod-1):(1);}

#define fi first
#define se second
#define pb push_back
#define mkp make_pair
typedef pair<int,int>pii;
typedef vector<int>vi;

#define maxn 1000045
#define inf 0x3f3f3f3f

int n;
string s;

string res; int pos;

bool small(string a,string b){
	if(a.size()!=b.size()) return a.size()<b.size();
	return a<b;
}
void check(string res2,int pos2){
	if(res==res2){
		if(pos2<pos) pos=pos2;
	}else{
		if(small(res2,res)) res=res2,pos=pos2;
	}
}

int m,l,pl;
string mp[30];
vector<int>ch[30];

bool vis[30];

string fir;
string add(string s){
	reverse(s.begin(),s.end());
	s[0]+=1;
	int pos=0;
	while(!isdigit(s[pos])){
		s[pos]='0';
		if(pos+1==s.size()) s+='0';
		++s[pos+1];
		++pos;
	}
	reverse(s.begin(),s.end());
	return s;
}
//string sub(string s){
//	
//}
bool eq(char a,char b){
	return b=='?' || a==b;
}

void qwq(string ans,int p){
	bool FL=(ans=="9999");
//	if(ans=="65053") cout<<"check "<<ans<<" "<<p<<"\n";
//	if(FL)cout<<"qwq "<<ans<<" "<<p<<"\n";
	string ans1=ans;int p1=p;
	For(i,0,n-1){
	//	if(FL)cout<<"ANS[p],s[i] "<<ans[p]<<" "<<s[i]<<"\n";
		if(!eq(ans[p],s[i])) return /*cout<<"fail "<<i<<" "<<ans[p]<<" "<<s[i]<<"\n",*/void();
		++p;
		if(p==ans.size()) {
			p=0;
			ans=add(ans);
		}
	}
//	cout<<"check "<<ans1<<" "<<p1<<"\n";
	check(ans1,p1);
}
bool flag;
void dfs(int u){
	if(u==l){
	//	if(flag) cout<<"fir "<<fir<<" "<<pl<<"\n";
		qwq(fir,(l-pl)%l);
		return;
	}
	for(int c:ch[u]) {
		if(u==0 && c==0) continue;
		fir[u]=((char)(c+'0')),dfs(u+1);
	}
}

modint pw[233],ss[233];
modint calcmod(string s){
	int n=s.size();
	modint x=0;
	for(auto c:s) x=x*10+(c&15);
	modint res=(x-pw[n-1])*n;
	res+=ss[n-1];
	return res;
}

void work_mp()
{
//	cout<<"workmp:\n";
//	cout<<"l,pl "<<l<<" "<<pl<<"\n";
//	For(i,1,m) cout<<mp[i]<<"\n";
	
	For(i,0,l-1) ch[i].clear();
	For(i,0,9) ch[l-1].pb(i);
	
	For(i,0,l-2){
		For(j,0,9) vis[j]=0;
		For(j,1,m) if(mp[j][i]!='?') vis[mp[j][i]&15]=1;
//		For(j,0,9) if(vis[j]) For(k,0,9) if(k!=j && vis[k]) {
//			if(())
//		}
//		For(j,0,9) cout<<vis[j]; cout<<"\n";
		int hav=-1;
		For(j,0,9) if(vis[j]) {
		//	hav=j;
			if(vis[(j+1)%10]){
				int k=(j+1)%10;
				hav=j;
				For(x,0,9) if(x!=j && x!=k && vis[x]) return ;
				ch[i].pb(j),ch[i].pb(k);
				break;
			}
		}
		if(hav!=-1) continue;
		For(j,0,9) if(vis[j]){
			hav=j;
			For(x,0,9) if(x!=j && vis[x]) return;
			ch[i].pb(j),ch[i].pb((j-1+10)%10);
	//		cout<<"add "<<i<<" "<<j<<"\n";
			break;
		}
		if(hav!=-1) continue;
		if(i==0) ch[i].pb(1);
		else ch[i].pb(9),ch[i].pb(0);
	}
//	if(mp[1]=="?????" && mp[2]=="?5?54") flag=1;
	
//	if(flag){
//			cout<<"QAQ\n";
//	For(i,0,l-1){
//		for(int x:ch[i]) cout<<x<<" "; cout<<"---";
//		cout<<"\n";
//	}
//	}
	fir.resize(l);
	dfs(0);
}

void work()
{
	cin>>s; n=s.size();
	string in="99999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999";
	res=in,pos=0;
	For(len,1,n+1){
		
		For(i,0,len-1){
	//		cout<<"wk "<<len<<" "<<i<<"\n";
			m=0;
			if(i!=0){
				string tmp;
				For(j,1,len-i) tmp+='?';
				For(j,0,i-1) tmp+=s[i];
				assert(tmp.size()==len);
				mp[++m]=tmp;
			}
			for(int l=i,r; l<n ; l=r+1){
				r=l+len-1;
		//		cout<<"l,r "<<l<<" "<<r<<"\n";
				string tmp;
				For(j,l,r) if(j<n) tmp+=s[j]; else tmp+='?';
				mp[++m]=tmp;
			}
			l=len;
			pl=i;
			work_mp();
		}
		
		
		string tmp,mx;
		For(i,1,len) tmp+='9';
		mx=tmp;
	//	mx=
		if(len==1) tmp="1";
		else tmp[tmp.size()-1-1]='7';
	//	cout<<"Len "<<len<<" "<<tmp<<" "<<mx<<"\n";
		do{
			tmp=add(tmp);
	//		cout<<"TMP "<<tmp<<"\n";
			For(j,0,len-1) qwq(tmp,j);
		}while(tmp!=mx);
		
		
		if(res!=in){
	//		cout<<"res: "<<res<<" "<<pos<<"\n";
			modint out=calcmod(res);
			out+=pos+1;
			cout<<out.x<<"\n";
			return;
		}
		
	}
}

signed main()
{
//	cout<<add("9999")<<"\n";
	pw[0]=1;
	For(i,1,30)pw[i]=pw[i-1]*10;
	For(i,1,30){
		ss[i]=ss[i-1]+(pw[i]-pw[i-1])*i;
	}
	int T=read();
	For(_,1,T)work();
	return 0;
}
/*
650526505365054650556505665057
         ??5?54?50?5?505?65?5
(6)

        9?9??0????????????2
999799989999100001000110002

?????
?5?54
?50?5
?505?
65?5?

10 10
1 2 2 2 5 2 3 4 3 
1 10 5 7
2 4 3 4 5 6 
*/