This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
/*************************************
* author: marvinthang *
* created: 28.06.2023 10:35:00 *
*************************************/
#include "split.h"
#include <bits/stdc++.h>
using namespace std;
#define fi first
#define se second
#define left ___left
#define right ___right
#define TIME (1.0 * clock() / CLOCKS_PER_SEC)
#define MASK(i) (1LL << (i))
#define BIT(x, i) ((x) >> (i) & 1)
#define __builtin_popcount __builtin_popcountll
#define ALL(v) (v).begin(), (v).end()
#define REP(i, n) for (int i = 0, _n = (n); i < _n; ++i)
#define REPD(i, n) for (int i = (n); i--; )
#define FOR(i, a, b) for (int i = (a), _b = (b); i < _b; ++i)
#define FORD(i, b, a) for (int i = (b), _a = (a); --i >= _a; )
#define FORE(i, a, b) for (int i = (a), _b = (b); i <= _b; ++i)
#define FORDE(i, b, a) for (int i = (b), _a = (a); i >= _a; --i)
#define scan_op(...) istream & operator >> (istream &in, __VA_ARGS__ &u)
#define print_op(...) ostream & operator << (ostream &out, const __VA_ARGS__ &u)
#ifdef LOCAL
#include "debug.h"
#else
#define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
#define DB(...) 23
#define db(...) 23
#define debug(...) 23
#endif
template <class U, class V> scan_op(pair <U, V>) { return in >> u.first >> u.second; }
template <class T> scan_op(vector <T>) { for (size_t i = 0; i < u.size(); ++i) in >> u[i]; return in; }
template <class U, class V> print_op(pair <U, V>) { return out << '(' << u.first << ", " << u.second << ')'; }
template <size_t i, class T> ostream & print_tuple_utils(ostream &out, const T &tup) { if constexpr(i == tuple_size<T>::value) return out << ")"; else return print_tuple_utils<i + 1, T>(out << (i ? ", " : "(") << get<i>(tup), tup); }
template <class ...U> print_op(tuple<U...>) { return print_tuple_utils<0, tuple<U...>>(out, u); }
template <class Con, class = decltype(begin(declval<Con>()))> typename enable_if <!is_same<Con, string>::value, ostream&>::type operator << (ostream &out, const Con &con) { out << '{'; for (__typeof(con.begin()) it = con.begin(); it != con.end(); ++it) out << (it == con.begin() ? "" : ", ") << *it; return out << '}'; }
// end of template
vector <int> find_split(int n, int a, int b, int c, vector <int> p, vector <int> q) {
int m = p.size();
vector <vector <int>> adj(n), tree_adj(n);
REP(i, m) {
adj[p[i]].push_back(i);
adj[q[i]].push_back(i);
}
vector <int> low(n, n + 1), num(n), treeSize(n);
vector <bool> used(m);
int timeDfs = 0;
function <void(int)> dfs = [&] (int u) {
num[u] = ++timeDfs;
treeSize[u] = 1;
for (int id: adj[u]) if (!used[id]) {
used[id] = true;
int v = p[id] ^ q[id] ^ u;
if (!num[v]) {
tree_adj[u].push_back(v);
dfs(v);
treeSize[u] += treeSize[v];
low[u] = min(low[u], low[v]);
} else low[u] = min(low[u], num[v]);
}
};
dfs(0);
vector <pair <int, int>> pt;
pt.emplace_back(a, 1);
pt.emplace_back(b, 2);
pt.emplace_back(c, 3);
sort(ALL(pt));
vector <int> res(n);
REP(t, 2) {
function <bool(int)> dfs2 = [&] (int u) {
if (treeSize[u] < pt[t].fi) return false;
bool ok = true;
for (int v: tree_adj[u]) if (treeSize[v] >= pt[t].fi) {
if (dfs2(v)) return true;
ok = false;
}
if (ok) {
int cur = treeSize[u];
for (int v: tree_adj[u]) if (low[v] < num[u] && cur - treeSize[v] >= pt[t].fi) {
res[v] = -1;
cur -= treeSize[v];
}
if (n - cur >= pt[t ^ 1].fi) {
queue <int> q;
q.push(u);
--pt[t].fi;
res[u] = pt[t].se;
while (!q.empty()) {
int u = q.front();
q.pop();
for (int v: tree_adj[u]) if (!res[v]) {
if (!pt[t].fi) break;
--pt[t].fi;
res[v] = pt[t].se;
q.push(v);
}
}
while (!q.empty()) q.pop();
u = 0;
while (res[u] == pt[t].se) ++u;
q.push(u);
--pt[t ^ 1].fi;
res[u] = pt[t ^ 1].se;
while (!q.empty()) {
int u = q.front();
q.pop();
for (int v: tree_adj[u]) if (res[v] <= 0) {
if (!pt[t ^ 1].fi) break;
--pt[t ^ 1].fi;
res[v] = pt[t ^ 1].se;
q.push(v);
}
}
REP(i, n) if (res[i] <= 0) res[i] = pt[2].se;
return true;
}
for (int v: tree_adj[u]) res[v] = 0;
}
return false;
};
if (dfs2(1)) return res;
}
return res;
}
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