// need #include #include // data structure #include //#include #include #include #include #include #include #include #include //#include //#include //#include #include #include //#include #include // stream //#include //#include //#include #include // etc #include #include #include #include //#include #include #include #include #define INIT std::ios::sync_with_stdio(false);std::cin.tie(0); #define VAR(type, ...)type __VA_ARGS__;MACRO_VAR_Scan(__VA_ARGS__); template void MACRO_VAR_Scan(T& t) { std::cin >> t; } templatevoid MACRO_VAR_Scan(First& first, Rest&...rest) { std::cin >> first; MACRO_VAR_Scan(rest...); } #define VEC_ROW(type, n, ...)std::vector __VA_ARGS__;MACRO_VEC_ROW_Init(n, __VA_ARGS__); for(int i=0; i void MACRO_VEC_ROW_Init(int n, T& t) { t.resize(n); } templatevoid MACRO_VEC_ROW_Init(int n, First& first, Rest&...rest) { first.resize(n); MACRO_VEC_ROW_Init(n, rest...); } template void MACRO_VEC_ROW_Scan(int p, T& t) { std::cin >> t[p]; } templatevoid MACRO_VEC_ROW_Scan(int p, First& first, Rest&...rest) { std::cin >> first[p]; MACRO_VEC_ROW_Scan(p, rest...); } #define OUT(d) std::cout< c(n);for(auto& i:c)std::cin>>i; #define MAT(type, c, m, n) std::vector> c(m, std::vector(n));for(auto& r:c)for(auto& i:r)std::cin>>i; #define ALL(a) (a).begin(),(a).end() #define FOR(i, a, b) for(int i=(a);i<(b);++i) #define RFOR(i, a, b) for(int i=(b)-1;i>=(a);--i) #define REP(i, n) for(int i=0;i=0;--i) #define FORLL(i, a, b) for(ll i=ll(a);i=ll(a);--i) #define REPLL(i, n) for(ll i=0;i=0;--i) #define IN(a, x, b) (a<=x && x inline T CHMAX(T& a, const T b) { return a = (a < b) ? b : a; } template inline T CHMIN(T& a, const T b) { return a = (a > b) ? b : a; } #define EXCEPTION(msg) throw std::string("Exception : " msg " [ in ") + __func__ + " : " + std::to_string(__LINE__) + " lines ]" #define TRY(cond, msg) try {if (cond) EXCEPTION(msg);}catch (std::string s) {std::cerr << s << std::endl;} void CHECKTIME(std::function f) { auto start = std::chrono::system_clock::now(); f(); auto end = std::chrono::system_clock::now(); auto res = std::chrono::duration_cast((end - start)).count(); std::cerr << "[Time:" << res << "ns (" << res / (1.0e9) << "s)]\n"; } template std::ostream& operator<<(std::ostream& os, std::pair p) { os << "(" << p.first << ", " << p.second << ")"; return os; } #define int ll using ll = long long; using ull = unsigned long long; using PAIR = std::pair; using PAIRLL = std::pair; constexpr int INFINT = 1 << 30; // 1.07x10^ 9 constexpr int INFINT_LIM = (1LL << 31) - 1; // 2.15x10^ 9 constexpr ll INFLL = 1LL << 60; // 1.15x10^18 constexpr ll INFLL_LIM = (1LL << 62) - 1 + (1LL << 62); // 9.22x10^18 constexpr double EPS = 1e-7; constexpr int MOD = 1000000007; constexpr double PI = 3.141592653589793238462643383279; //Quick Find Weighted struct QuickFindWeighted { std::vector group; std::vector> items; QuickFindWeighted(int size) { group.resize(size); items.resize(size); for (int i = 0; i < size; ++i) { group[i] = i; items[i].assign({ i }); } } // i1の所属するグループとi2の所属するグループを統合する void merge(int i1, int i2) { if (group[i1] == group[i2]) return; if (items[group[i1]].size() < items[group[i2]].size()) { std::swap(i1, i2); } int g1 = group[i1], g2 = group[i2]; for (int i : items[g2]) group[i] = g1; items[g1].insert(items[g1].end(), items[g2].begin(), items[g2].end()); items[g2].clear(); items[g2].shrink_to_fit(); } // i1とi2が同じグループに所属しているか bool same(int i1, int i2) { return group[i1] == group[i2]; } int size(int i) { return items[group[i]].size(); } }; signed main() { INIT; VAR(int, n, m); VEC_ROW(int, m, a, b); std::vector v(n); REP(i, n) v[i] = i; QuickFindWeighted qf(n); REP(i, m) { --a[i]; --b[i]; if (qf.size(a[i]) < qf.size(b[i])) { int min = INFINT; for (auto x : qf.items[qf.group[b[i]]]) { CHMIN(min, v[x]); } for (auto x : qf.items[qf.group[a[i]]]) { v[x] = min; } } else if (qf.size(a[i]) > qf.size(b[i])) { int min = INFINT; for (auto x : qf.items[qf.group[a[i]]]) { CHMIN(min, v[x]); } for (auto x : qf.items[qf.group[b[i]]]) { v[x] = min; } } else { if (v[a[i]] == v[b[i]]) continue; int min = INFINT; for (auto x : qf.items[qf.group[a[i]]]) { CHMIN(min, v[x]); } for (auto x : qf.items[qf.group[b[i]]]) { CHMIN(min, v[x]); } for (auto x : qf.items[qf.group[a[i]]]) { v[x] = min; } for (auto x : qf.items[qf.group[b[i]]]) { v[x] = min; } } qf.merge(a[i], b[i]); } REP(i, n) { OUT(v[i] + 1)BR; } return 0; }