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#include <bits/stdc++.h> #define all(x) x.begin(), x.end() #define r_all(x) x.rbegin(), x.rend() #define sz(x)(ll) x.size() #define g_max(x, y) x = max(x, y) #define g_min(x, y) x = min(x, y) #define rsz(a, n) a.resize(n) #define ass(a, n) a.assign(n, 0) #define YES() cout << "YES\n" #define Yes() cout << "Yes\n" #define NO() cout << "NO\n" #define No() cout << "No\n" #define endl "\n" #define print(a) for (auto &x: a) cout << x << " "; cout << endl #define print_pair(a) #define FOR(i, fr, to) for (long long i = fr; i <= to; i++) #define RFOR(i, fr, to) for (long long i = fr; i >= to; i--) #define pb push_back #define eb emplace_back #define is insert #define F first #define S second using namespace std; using ll = long long; using ld = long double; using vll = vector<ll>; using vvll = vector<vll>; using vc = vector<char>; using vvc = vector<vc>; using pll = pair<ll, ll>; using vpll = vector<pll>; using vvpll = vector<vpll>; using stkll = stack<ll>; using qll = queue<ll>; using dqll = deque<ll>; using sll = set<ll>; using msll = multiset<ll>; using mll = map<ll, ll>; using vsll = vector<sll>; using sc = set<char>; using pcll = pair<char, ll>; ll dr[] = {0, 1, 0, -1}, dc[] = {-1, 0, 1, 0}; const ll INF = 1e18; ll MOD = 1e9 + 7; ll mod_add(ll u, ll v, ll mod = MOD) { u %= mod, v %= mod; return (u + v) % mod; } ll mod_sub(ll u, ll v, ll mod = MOD) { u %= mod, v %= mod; return (u - v + mod) % mod; } ll mod_mul(ll u, ll v, ll mod = MOD) { u %= mod, v %= mod; return (u * v) % mod; } ll mod_pow(ll u, ll p, ll mod = MOD) { ll res = 1; u %= mod; if (u == 0) { return 0; } while (p > 0) { if (p & 1) { res = (res * u) % mod; } p >>= 1; u = (u * u) % mod; } return res; } ll mod_inv(ll u, ll mod = MOD) { u %= mod; ll g = __gcd(u, mod); if (g != 1) { return -1; } return mod_pow(u, mod - 2, mod); } ll mod_div(ll u, ll v, ll mod = MOD) { u %= mod, v %= mod; return mod_mul(u, mod_inv(v), mod); } template<class T> vector<T> operator+(vector<T> a, vector<T> b) { a.insert(a.end(), b.begin(), b.end()); return a; } pll operator+(pll a, pll b) { pll ans = {a.first + b.first, a.second + b.second}; return ans; } template<class A, class B> ostream &operator<<(ostream &os, const pair<A, B> &p) { os << p.first << " " << p.second; return os; } template<class A, class B> istream &operator>>(istream &is, pair<A, B> &p) { is >> p.first >> p.second; return is; } template<class T> ostream &operator<<(ostream &os, const vector<T> &vec) { for (auto &x: vec) { os << x << " "; } return os; } template<class T> istream &operator>>(istream &is, vector<T> &vec) { for (auto &x: vec) { is >> x; } return is; } template<class T> ostream &operator<<(ostream &os, const set<T> &vec) { for (auto &x: vec) { os << x << " "; } return os; } template<class A, class B> ostream &operator<<(ostream &os, const map<A, B> d) { for (auto &x: d) { os << "(" << x.first << " " << x.second << ") "; } return os; } template<class A> void read_arr(A a[], ll from, ll to) { for (ll i = from; i <= to; i++) { cin >> a[i]; } } template<class A> void print_arr(A a[], ll from, ll to) { for (ll i = from; i <= to; i++) { cout << a[i] << " "; } cout << "\n"; } template<class A> void print_arr(A a[], ll n) { print_arr(a, 0, n - 1); } template<class A> void set_arr(A a[], A val, ll from, ll to) { for (ll i = from; i <= to; i++) { a[i] = val; } } template<class A> void set_arr(A a[], A val, ll n) { set_arr(a, val, 0, n - 1); } const ll N = 1e5 + 10; ll n, k, q, m; ll a[N]; string s, s1, s2, s3; void init() { } ll n1[N], n2[N], n3[N], ans[N]; sll adj[N]; ll get_ans() { set_arr(ans, 0LL, n + 5); set_arr(n1, 0LL, n + 5); set_arr(n2, 0LL, n + 5); set_arr(n3, 0LL, n + 5); ans[1] = 1; ll v2 = 0; for (auto &v: adj[1]) { n1[v] = 1; v2 = v; } if (!v2) { return false; } ans[v2] = 1; for (auto &v: adj[v2]) { n2[v] = 1; } ll v3 = 0; FOR (i , 1, n) { if (n2[i] && n1[i]) { v3 = i; } } if (v3 == 0) { return false; } ans[v3] = 1; for (auto &v: adj[v3]) { n3[v] = 1; } FOR(i, 1, n) { if (n1[i] && n2[i] && n3[i]) { return false; } if (!n1[i]) { ans[i] = 1; continue; } if (!n2[i]) { ans[i] = 2; continue; } if (!n3[i]) { ans[i] = 3; } } if (!count(ans + 1, ans + 1 + n, 2LL) || !count(ans + 1, ans + 1 + n, 3LL)) { return false; } ll cnt12 = 0, cnt23 = 0, cnt31 = 0; FOR(i, 1, n) { for (auto &v: adj[i]) { if (ans[i] == ans[v]) { return false; } ll ai = ans[i], av =ans[v]; if (ai > av) { swap(ai, av); } if (ai == 1 && av == 2) { cnt12++; } if (ai == 2 && av == 3){ cnt23++; } if (av == 3 && ai== 1) { cnt31++; } } } ll cnt1 = count(ans + 1, ans + 1 + n, 1LL); ll cnt2 = count(ans + 1, ans + 1 + n, 2LL); ll cnt3 = count(ans + 1, ans + 1 + n, 3LL); cout << cnt12 << " " << cnt23 << " " << cnt31 << "\n"; if (cnt12 != cnt1 * cnt2 || cnt23 != cnt2 * cnt3 || cnt31 != cnt1 * cnt3) { return false; } return true; } void single(ll t_id = 0) { cin >> n >> m; FOR(i, 1, n) { adj[i].clear(); } FOR(i, 1, m) { ll u, v; cin >> u >> v; adj[u].is(v); adj[v].is(u); } if (get_ans()) { print_arr(ans, 1, n); } else { cout << "-1\n"; } } void multiple() { ll t; cin >> t; for (ll i = 0; i < t; i++) { single(i); } } //#endif #if 0 void multiple() { while (cin >> n >> m) { if (n == 0 && m == 0) { break; } single(); } #endif int main(int argc, char *argv[]) { ios_base::sync_with_stdio(false); cin.tie(nullptr); init(); // freopen("feast.in", "r", stdin); // freopen("feast.out", "w", stdout); freopen("../input.txt", "r", stdin); multiple(); // single(); return 0; } //https://pastecode.io/s/gm8sg8rq
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