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| #include <bits/stdc++.h>
#pragma optimization_level 3 #pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math,O3") #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx") #pragma GCC optimize("Ofast") #pragma GCC target("avx,avx2,fma") #pragma GCC optimization ("unroll-loops")
#define MAX_N 1010 #define ll long long #define pll pair<ll, ll> #define vpll vector<pll> #define vll vector<ll> #define vs vector<string> #define vvs vector<vs> #define vvll vector<vll> #define all(a) begin(a), end(a) using namespace std;
bool require(unordered_set<string>& us, string s) { string ss = s + s; for(ll i = 0; i < 8; i++) { if(us.count(ss.substr(i,8))) return false; } return true; }
vs build(ll n) { string s = string(8 - n,'0') + string(n,'1'); unordered_set<string> cand; do if(require(cand, s)) { cand.insert(s); }while(next_permutation(all(s)));
return vs(all(cand)); }
ll pick(vs& cand, vll& adj) { for(ll i = 0; i < cand.size(); i++) if(adj[i] <= 8) return i; return -1; }
ll miPick(vs& cand, vector<unordered_set<string>>& adj) { for(ll i = 0; i <= 8; i++) { if(adj[i].empty()) continue; for(ll j = 0; j < cand.size(); j++) if(adj[i].count(cand[j])) return j; } return 0; }
void solve(vvs cand) { ll n, i = 0, j = 0; vvll adj(10, vll(10, 0)); vector<vector<unordered_set<string>>> to(10, vector<unordered_set<string>>(10)); string s; while(true) { cin>>n; if(n == -1) exit(0); else if(n == 0) break; adj[i][j]++; to[i][n].insert(cand[i][j]); ll p = pick(cand[n], adj[n]); if(p != -1) { i = n, j = p; s = cand[i][j]; } else { i = n, j = miPick(cand[n], to[n]); s = cand[i][j]; } cout<<s<<endl; } }
int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.setf(ios::fixed); cout.precision(6); ll tc; vvs cand(9); for(ll i = 0; i <= 8; i++) { cand[i] = build(i); } cin>>tc; while(tc--) { cout<<"00000000"<<endl; solve(cand); }
return 0; }
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