#line 2 "/Users/noya2/Desktop/Noya2_library/template/template.hpp" using namespace std; #include #line 1 "/Users/noya2/Desktop/Noya2_library/template/inout_old.hpp" namespace noya2 { template ostream &operator<<(ostream &os, const pair &p){ os << p.first << " " << p.second; return os; } template istream &operator>>(istream &is, pair &p){ is >> p.first >> p.second; return is; } template ostream &operator<<(ostream &os, const vector &v){ int s = (int)v.size(); for (int i = 0; i < s; i++) os << (i ? " " : "") << v[i]; return os; } template istream &operator>>(istream &is, vector &v){ for (auto &x : v) is >> x; return is; } void in() {} template void in(T &t, U &...u){ cin >> t; in(u...); } void out() { cout << "\n"; } template void out(const T &t, const U &...u){ cout << t; if (sizeof...(u)) cout << sep; out(u...); } template void out(const vector> &vv){ int s = (int)vv.size(); for (int i = 0; i < s; i++) out(vv[i]); } struct IoSetup { IoSetup(){ cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); cerr << fixed << setprecision(7); } } iosetup_noya2; } // namespace noya2 #line 1 "/Users/noya2/Desktop/Noya2_library/template/const.hpp" namespace noya2{ const int iinf = 1'000'000'007; const long long linf = 2'000'000'000'000'000'000LL; const long long mod998 = 998244353; const long long mod107 = 1000000007; const long double pi = 3.14159265358979323; const vector dx = {0,1,0,-1,1,1,-1,-1}; const vector dy = {1,0,-1,0,1,-1,-1,1}; const string ALP = "ABCDEFGHIJKLMNOPQRSTUVWXYZ"; const string alp = "abcdefghijklmnopqrstuvwxyz"; const string NUM = "0123456789"; void yes(){ cout << "Yes\n"; } void no(){ cout << "No\n"; } void YES(){ cout << "YES\n"; } void NO(){ cout << "NO\n"; } void yn(bool t){ t ? yes() : no(); } void YN(bool t){ t ? YES() : NO(); } } // namespace noya2 #line 2 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp" #line 6 "/Users/noya2/Desktop/Noya2_library/template/utils.hpp" namespace noya2{ unsigned long long inner_binary_gcd(unsigned long long a, unsigned long long b){ if (a == 0 || b == 0) return a + b; int n = __builtin_ctzll(a); a >>= n; int m = __builtin_ctzll(b); b >>= m; while (a != b) { int mm = __builtin_ctzll(a - b); bool f = a > b; unsigned long long c = f ? a : b; b = f ? b : a; a = (c - b) >> mm; } return a << std::min(n, m); } template T gcd_fast(T a, T b){ return static_cast(inner_binary_gcd(std::abs(a),std::abs(b))); } long long sqrt_fast(long long n) { if (n <= 0) return 0; long long x = sqrt(n); while ((x + 1) * (x + 1) <= n) x++; while (x * x > n) x--; return x; } template T floor_div(const T n, const T d) { assert(d != 0); return n / d - static_cast((n ^ d) < 0 && n % d != 0); } template T ceil_div(const T n, const T d) { assert(d != 0); return n / d + static_cast((n ^ d) >= 0 && n % d != 0); } template void uniq(std::vector &v){ std::sort(v.begin(),v.end()); v.erase(unique(v.begin(),v.end()),v.end()); } template inline bool chmin(T &x, U y) { return (y < x) ? (x = y, true) : false; } template inline bool chmax(T &x, U y) { return (x < y) ? (x = y, true) : false; } template inline bool range(T l, T x, T r){ return l <= x && x < r; } } // namespace noya2 #line 8 "/Users/noya2/Desktop/Noya2_library/template/template.hpp" #define rep(i,n) for (int i = 0; i < (int)(n); i++) #define repp(i,m,n) for (int i = (m); i < (int)(n); i++) #define reb(i,n) for (int i = (int)(n-1); i >= 0; i--) #define all(v) (v).begin(),(v).end() using ll = long long; using ld = long double; using uint = unsigned int; using ull = unsigned long long; using pii = pair; using pll = pair; using pil = pair; using pli = pair; namespace noya2{ /* ~ (. _________ . /) */ } using namespace noya2; #line 2 "c.cpp" bool calc(int n, int k){ vector add; rep(a,k+1) rep(b,k+1-a){ int x = a * 8 + b; add.emplace_back(x); } uniq(add); int ma = ranges::max(add); vector dp(1,true); while (n){ int sz = dp.size(); vector ep(sz+ma); rep(i,sz){ if (!dp[i]) continue; for (int x : add){ ep[i + x] = true; } } int nsz = ep.size(); vector ndp(nsz/10+1); for (int d = n % 10, p = 0; d < sz+ma; d += 10, p++){ ndp[p] = ep[d]; } swap(dp,ndp); n /= 10; } return dp[0]; } vector construct(int n, int k){ int ma = 8*k; vector> dp(9); dp[0] = {{0,0}}; rep(t,8){ int sz = dp[t].size(); dp[t+1].resize((sz+ma)/10+1,{-1,-1}); rep(i,sz){ if (get<0>(dp[t][i]) == -1) continue; rep(a,k+1) rep(b,k+1-a){ int x = a * 8 + b; int tar = i + x; if (tar % 10 == n % 10){ int ni = tar / 10; dp[t+1][ni] = {i,x}; } } } n /= 10; } assert(dp[8][0].first != -1); vector ansstr(k,string(8,'?')); int s = 0; reb(t,8){ auto [ns, x] = dp[t+1][s]; assert(ns != -1); int ia = -1, ib = -1; rep(a,k+1) rep(b,k+1-a){ if (a * 8 + b == x){ ia = a; ib = b; break; } } assert(ia != -1); rep(i,ia){ ansstr[i][t] = '8'; } repp(i,ia,ia+ib){ ansstr[i][t] = '1'; } repp(i,ia+ib,k){ ansstr[i][t] = '0'; } s = ns; } vector ans(k); rep(i,k){ int x = 0; for (auto c : ansstr[i] | views::reverse){ x *= 10; x += int(c - '0'); } ans[i] = x; } return ans; } void solve(){ int n; in(n); n = 81181819 - n; for (int k = 1; k <= 9; k++){ if (calc(n,k)){ out(k); auto ans = construct(n,k); for (auto x : ans){ out(x); } return ; } } } int main(){ int t = 1; in(t); while (t--) { solve(); } }