#include "bits/stdc++.h" using namespace std; #define all(x) begin(x),end(x) template ostream& operator<<(ostream &os, const pair &p) { return os << '(' << p.first << ", " << p.second << ')'; } template::value, typename T_container::value_type>::type> ostream& operator<<(ostream &os, const T_container &v) { string sep; for (const T &x : v) os << sep << x, sep = " "; return os; } #define debug(a) cerr << "(" << #a << ": " << a << ")\n"; typedef long long ll; typedef vector vi; typedef vector vvi; typedef pair pi; const int mxN = 1e5+1, oo = 1e9; const long long MD =998244353 ; template struct mdint { int d=0; mdint () {d=0;} mdint (long long _d) : d(_d%MOD){ if(d<0) d+=MOD; }; friend mdint& operator+=(mdint& a, const mdint& o) { a.d+=o.d; if(a.d>=MOD) a.d-=MOD; return a; } friend mdint& operator-=(mdint& a, const mdint& o) { a.d-=o.d; if(a.d<0) a.d+=MOD; return a; } friend mdint& operator*=(mdint& a, const mdint& o) { return a = mdint((ll)a.d*o.d); } mdint operator*(const mdint& o) const { mdint res = *this; res*=o; return res; } mdint operator+(const mdint& o) const { mdint res = *this; res+=o; return res; } mdint operator-(const mdint& o) const { mdint res = *this; res-=o; return res; } mdint operator^(long long b) const { mdint tmp = 1; mdint power = *this; while(b) { if(b&1) { tmp = tmp*power; } power = power*power; b/=2; } return tmp; } friend mdint operator/=(mdint& a, const mdint& o) { a *= (o^(MOD-2)); return a; } mdint operator/(const mdint& o) { mdint res = *this; res/=o; return res; } bool operator==(const mdint& o) { return d==o.d;} bool operator!=(const mdint& o) { return d!=o.d;} friend istream& operator>>(istream& c, mdint& a) {return c >> a.d;} friend ostream& operator<<(ostream& c, const mdint& a) {return c << a.d;} }; using mint = mdint; vi digs; int x; mint dp[2][2][20][20][2]; bool vis[2][2][20][20][2]; mint solve(bool ba, bool bb, int i, int carry, bool curc) { if(carry<0) return 0; if(i==-1) { if(curc) return 0; if(carry==0) return 1; return 0; } mint& ans = dp[ba][bb][i][carry][curc]; if(vis[ba][bb][i][carry][curc]) return ans; vis[ba][bb][i][carry][curc]=1; ans=0; int la = ba?digs[i]:9, lb = bb?digs[i]:9; for(int da=0;da<=la;++da) { for(int db=0;db<=lb;++db) { // assume carried: auto res = solve(ba and la==da,bb and lb==db,i-1,carry-curc,1); if(curc== (da+db+1>=10)) ans+=res; res = solve(ba and la==da,bb and lb==db,i-1,carry-curc,0); if(curc == (da+db>=10)) ans+=res; } } return ans; } void testcase() { string n; cin >> n; reverse(all(n)); digs.resize(n.size()); for(int i=0;i> x; cout << solve(1,1,n.size()-1,x,1)+solve(1,1,n.size()-1,x,0) << '\n'; } int main() { int t; cin >> t; while(t--) testcase(); }