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>
using namespace std;
typedef long long ll;
int read(){int s=0,f=1;char ch=getchar();while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();}while(ch>='0'&&ch<='9'){s=(s<<3)+(s<<1)+ch-'0',ch=getchar();}return s*f;}
#define re read()
const int mod = 1e9 + 7, MM = 1e5 + 5;
struct E{int u, v;}e[MM<<1], bad[MM<<1];
int N, tb, cnt, cur, t, top, sz[MM], dsu[MM], w[MM]; vector<int> s, adj[MM]; pair<int,int> ord[3];
int Find(int x){return dsu[x] == x ? x : dsu[x] = Find(dsu[x]);}
void unite(int x, int y){x = Find(x), y = Find(y); sz[y] += sz[x], dsu[x] = y;}
int get_w(int src, int par){
w[src] = 1;
for (int v : adj[src])
if (v != par) w[src] += get_w(v, src);
return w[src];
}
int get_c(int src, int par){
for (int v : adj[src])
if (v != par && w[v] >= N / 2) return get_c(v, src);
return src;
}
void merge(int src, int par, int head){
if (Find(src) != Find(head)) unite(src, head);
for (int v : adj[src])
if (v != par) merge(v, src, head);
}
void paint(int src, int par){
cnt ? (s[src] = cur, cnt--) : s[src] = ord[2].second;
for (int v : adj[src])
if (v != par) paint(v, src);
}
vector<int> find_split(int n, int a, int b, int c, vector<int>p, vector<int>q){
int m = p.size(); s.resize(N = n);
for (int i = 0; i < m; i++) e[i] = {q[i], p[i]};
ord[0] = {a, 1}, ord[1] = {b, 2}, ord[2] = {c, 3};
sort(ord, ord + 3); iota(dsu, dsu + n, 0);
for (int i = 0; i < m; i++){
if (Find(e[i].v) != Find(e[i].u)){
unite(e[i].v, e[i].u);
adj[e[i].v].push_back(e[i].u), adj[e[i].u].push_back(e[i].v);
} else bad[tb++] = e[i];
} get_w(0, 0), iota(dsu, dsu + n, 0);
for (int i = 0; i < n; i++) sz[i] = 1;
int rt = get_c(0, 0);
for (int v : adj[rt]) merge(v, rt, v);
sort(adj[rt].begin(), adj[rt].end());
sort(bad, bad + tb, [&](E x, E y){return min(Find(x.u), Find(x.v)) < min(Find(y.u), Find(y.v));});
for (int i = 0; i < tb; i++){
if (bad[i].u == rt || bad[i].v == rt) continue;
if (sz[Find(bad[i].u)] >= ord[0].first || sz[Find(bad[i].v)] >= ord[0].first) break;
if (Find(bad[i].u) != Find(bad[i].v)) unite(bad[i].u, bad[i].v);
}
int id = -1;
for (int v : adj[rt])
if (sz[Find(v)] >= ord[0].first){id = v; break;}
if (id != -1){
cnt = ord[0].first, cur = ord[0].second, paint(id, rt);
cnt = ord[1].first, cur = ord[1].second, paint(rt, id);
} return s;
}
// int main(){
// vector<int> a = {0, 0, 0, 0, 0}, b = {1, 2, 3, 4, 5};
// vector<int> ans = find_split(6, 2, 2, 2, a, b);
// for(int x : ans) cout << x << ' ';
// }
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