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 "split.h"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int N = 1e5 + 5;
vector<int> adj[N];
int n, m;
vector<int> result;
vector<int> impossible() {
for (int v = 0; v < n; ++v)
result.emplace_back(0);
return result;
}
int R = -1, t = 0; pair<int, int> x[3];
int low[N], in[N], siz[N];
vector<int> tri[N];
void build(int u) {
in[u] = low[u] = ++t;
int flag = 1; siz[u] = 1;
for (int v : adj[u])
if (in[v]) low[u] = min(low[u], in[v]);
else tri[u].emplace_back(v), build(v),
low[u] = min(low[u], low[v]), siz[u] += siz[v], flag &= siz[v] < x[0].first;
flag &= siz[u] >= x[0].first;
if (flag) R = u;
}
int res[N], ans[N];
void dfs(int u, int c) {
ans[u] = c;
for (int v : tri[u])
dfs(v, c);
}
int fixx(int u) {
res[u] = x[0].second; x[0].first--;
if (x[0].first == 0) return 1;
for (int v : tri[u]) if (ans[v] == x[0].second) {
if (fixx(v)) return 1;
}
return 0;
}
int fixy(int u) {
res[u] = x[1].second; x[1].first--;
if (x[1].first == 0) return 1;
for (int v : tri[u]) if (ans[v] == x[2].second) {
if (fixy(v)) return 1;
}
return 0;
}
vector<int> print() {
for (int v = 0; v < n; ++v) res[v] = x[2].second;
fixx(R); fixy(0);
for (int v = 0; v < n; ++v)
result.emplace_back(res[v]);
return result;
}
int P1, P2;
void dfs2(int u) {
for (int v : tri[u]) if (low[v] < in[R]) {
if (P1 - siz[v] >= x[0].first)
P1 -= siz[v], dfs(v, x[2].second);
else dfs2(v);
}
}
vector<int> find_split(int _n, int a, int b, int c, vector<int> p, vector<int> q) {
n = _n, m = p.size();
x[0] = {a, 1}, x[1] = {b, 2}, x[2] = {c, 3};
for (int i = 0, u, v; i < m; ++i)
u = p[i], v = q[i],
adj[u].emplace_back(v),
adj[v].emplace_back(u);
build(0);
if (R == -1) return impossible();
for (int v = 0; v < n; ++v)
ans[v] = x[2].second;
dfs(R, x[0].second);
int P1 = siz[R], P2 = n - P1;
dfs2(R);
if (P2 < x[0].first) return impossible();
return print();
}
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