This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define fi first
#define se second
#define ssize(x) int(x.size())
#define pn printf("\n")
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define vv vector
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
int inf = 2e09; ll infll = 2e18; int mod = 119<<23|1;
struct graph{
vv<vv<int>> bg, g;
vv<int> vis, sz, col;
void init(int n){
bg.resize(n), vis.resize(n), g.resize(n), sz.resize(n, 0), col.resize(n, 0);
}
void add_edge_b(int a, int b){ bg[a].emplace_back(b), bg[b].emplace_back(a); }
void add_edge_g(int a, int b){ g[a].emplace_back(b), g[b].emplace_back(a); }
void get_tree(int x){
vis[x] = 1;
for(int u : bg[x]) if(!vis[u]) add_edge_g(u, x), get_tree(u);
}
void dfs_sz(int x, int par){
sz[x] = 1;
for(int u : g[x]) if(u != par) dfs_sz(u, x), sz[x] += sz[u];
}
int find_centroid(int x, int par, int &n){
int ret = x;
for(int u : g[x]) if(u != par && sz[u] > n/2) ret = find_centroid(u, x, n);
return ret;
}
void dfs_col(int x, int par, int k, int kol){
col[x] = kol; --k;
for(int u : g[x]) if(u != par && !col[u] && k){
if(k <= sz[u]) dfs_col(u, x, k, kol), k = 0;
else dfs_col(u, x, sz[u], kol), k -= sz[u];
}
}
};
vv<int> find_split(int n, int a, int b, int c, vv<int> p, vv<int> q){
if(a > b) swap(a, b);
if(b > c) swap(b, c);
if(a > b) swap(a, b);
int m = ssize(p);
graph g; g.init(n);
for(int i = 0; i < m; ++i) g.add_edge_b(p[i], q[i]);
g.get_tree(0);
g.dfs_sz(0, -1);
int x = g.find_centroid(0, -1, n);
g.dfs_sz(x, -1);
bool good = 0;
//~ printf("%d\n", x);
for(int u : g.g[x]) if(a <= g.sz[u]){ g.dfs_col(u, x, a, 1), good = 1; break; }
if(good){
g.dfs_col(x, -1, b, 2);
for(int i = 0; i < n; ++i) if(!g.col[i]) g.col[i] = 3;
}
return g.col;
}
#ifdef LOCAL
int main(){
int T = 1;
for(++T; --T; ){
int n, m, a, b, c; scanf("%d%d%d%d%d", &n, &m, &a, &b, &c);
vv<int> p(m), q(m);
for(int i = 0; i < m; ++i) scanf("%d%d", &p[i], &q[i]);
vv<int> res = find_split(n, a, b, c, p, q);
for(int u : res) printf("%d ", u);
pn;
}
return 0;
}
#endif
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