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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")
using namespace std;
struct PairHash {inline std::size_t operator()(const std::pair<int, int> &v) const { return v.first * 31 + v.second; }};
#define Code ios_base::sync_with_stdio(false);
#define By ios::sync_with_stdio(0);
#define Sumfi cout.tie(NULL);
using ll = long long;
using ld = long double;
const ld PI = 3.14159265358979323846;
const ll INF = 1e18;
const ld EPS = 1e-9;
const ll MAX_N = 101010;
const ll mod = 1e9 + 7;
typedef pair<ll, ll> pll;
typedef vector<pll> vpll;
typedef array<ll,3> all3;
typedef array<ll,5> all5;
typedef vector<all3> vall3;
typedef vector<all5> vall5;
typedef vector<ld> vld;
typedef vector<ll> vll;
typedef vector<vll> vvll;
typedef vector<int> vi;
typedef vector<string> vs;
typedef vector<vs> vvs;
typedef unordered_set<ll> usll;
typedef unordered_set<pll, PairHash> uspll;
typedef unordered_map<ll, ll> umll;
typedef unordered_map<pll, ll, PairHash> umpll;
#define rep(i,m,n) for(ll i=m;i<n;i++)
#define rrep(i,m,n) for(ll i=n;i>=m;i--)
#define all(a) begin(a), end(a)
#define rall(a) rbegin(a), rend(a)
#define ZERO(a) memset(a,0,sizeof(a))
#define MINUS(a) memset(a,0xff,sizeof(a))
#define sz(x) ll((x).size())
#define pyes cout<<"yes\n";
#define pno cout<<"no\n";
#define pneg1 cout<<"-1\n";
#define CASE(x) cout<<"Case #"<<x<<": ";
template <typename T>
void print(T &&t) { cout << t << "\n"; }
template<typename T>
void printv(vector<T>v){ll n=v.size();rep(i,0,n)cout<<v[i]<<" ";cout<<"\n";}
ll __gcd(ll x, ll y) { return !y ? x : __gcd(y, x % y); }
ll __lcm(ll x, ll y) { return x * y / __gcd(x,y); }
ll modpow(ll n, ll x, ll MOD = mod) { if(!x) return 1; ll res = modpow(n,x>>1,MOD); res = (res * res) % MOD; if(x&1) res = (res * n) % MOD; return res; }
vll solve(ll n, vall3& A) {
usll adj[MAX_N];
auto connect = [&](ll u, ll v1, ll v2) {
adj[u].insert(v1);
adj[u].insert(v2);
};
rep(i,0,sz(A)) {
auto [a,b,c] = A[i];
connect(a-1,b-1,c-1);
connect(b-1,c-1,a-1);
connect(c-1,a-1,b-1);
}
vll res(n);
vll masks(n,7);
rep(i,0,n) {
if(res[i]) continue;
priority_queue<pll, vpll, greater<pll>> q;
q.push({__builtin_popcount(res[i]), i});
while(!q.empty()) {
auto [_, u] = q.top(); q.pop();
if(res[u]) continue;
res[u] = true;
rep(c,0,3) {
if(masks[u] & (1<<c)) {
res[u] = c + 1;
masks[u] = 1<<c;
break;
}
}
for(auto& v : adj[u]) {
if(!res[v] and masks[u] & masks[v]) {
masks[v] ^= masks[u];
q.push({__builtin_popcount(masks[v]), v});
}
}
}
}
return res;
}
int main() {
Code By Sumfi
cout.precision(12);
ll tc = 1;
rep(i,1,tc+1) {
ll n,m;
cin>>n>>m;
vall3 A(m);
rep(i,0,m) cin>>A[i][0]>>A[i][1]>>A[i][2];
printv(solve(n,A));
}
return 0;
}
|
