#include #include #include #define repeat(i,n) for (int i = 0; (i) < int(n); ++(i)) #define repeat_reverse(i,n) for (int i = (n)-1; (i) >= 0; --(i)) #define whole(f,x,...) ([&](decltype((x)) whole) { return (f)(begin(whole), end(whole), ## __VA_ARGS__); })(x) using namespace std; int main() { // input int n, m; scanf("%d%d", &n, &m); vector a(m), b(m); repeat (i,m) scanf("%d%d", &a[i], &b[i]); // prepare list vector > g(n); repeat (i,m) { g[a[i]].push_back(i); g[b[i]].push_back(i); } // solve // // greedy vector result(n); vector used(m); int count_used = 0; repeat (j,n) { result[j] = true; for (int i : g[j]) { if (used[i] == 0) count_used += 1; used[i] += 1; } if (count_used == m) break; } // // remove unnecessary vertices repeat_reverse (j,n) if (result[j]) { bool is_removable = true; for (int i : g[j]) { if (used[i] == 1) is_removable = false; } if (is_removable) { result[j] = false; for (int i : g[j]) { used[i] -= 1; } } } // output while (result.size() >= 2 and result.back() == false) result.pop_back(); whole(reverse, result); for (bool p : result) printf("%d", p); printf("\n"); return 0; }