| # | 제출 시각 | 아이디 | 문제 | 언어 | 결과 | 실행 시간 | 메모리 |
|---|---|---|---|---|---|---|---|
| 1286911 | tvgk | Split the Attractions (IOI19_split) | C++20 | 0 ms | 0 KiB |
#include<bits/stdc++.h>
using namespace std;
#define task "a"
#define se second
#define fi first
#define ll long long
#define ii pair<ll, ll>
const long mxN = 1e5 + 7;
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
#define uid(a, b) uniform_int_distribution<long long>(a, b)(rng);
struct edge
{
int u, v, id;
};
int dsu[mxN], n, m, ans[mxN], cnt[mxN], root;
bool tt;
ii sz[mxN];
vector<int> w[mxN];
vector<edge> a;
int Find(int j)
{
if (dsu[j] < 0)
return j;
else
return dsu[j] = Find(dsu[j]);
}
bool Union(int u, int v)
{
u = Find(u);
v = Find(v);
if (u == v)
return 0;
dsu[u] += dsu[v];
dsu[v] = u;
return 1;
}
void LOAN(int j, int par, int tt)
{
if (sz[tt].fi)
{
sz[tt].fi--;
ans[j] = tt;
}
for (int i : w[j])
{
if (i == par)
continue;
LOAN(i, j, tt);
}
}
void DFS(int j, int par)
{
cnt[j] = 1;
for (int i : w[j])
{
if (i == par)
continue;
DFS(i, j);
cnt[j] += cnt[i];
}
if (root == -1 && cnt[j] >= sz[1].fi)
root = j;
if (!tt && cnt[j] >= sz[1].fi && n - cnt[j] >= sz[2].fi)
{
tt = 1;
LOAN(j, par, 1);
LOAN(par, j, 2);
}
if (!tt && cnt[j] >= sz[2].fi && n - cnt[j] >= sz[1].fi)
{
tt = 1;
LOAN(j, par, 2);
LOAN(par, j, 1);
}
}
void Part2()
{
for (int i = 0; i < n; i++)
{
dsu[i] = -1;
cnt[i] = 0;
w[i].clear();
}
for (edge i : a)
{
if (i.u == root || i.v == root)
i.id = 0;
if (!i.id)
continue;
if (Union(i.u, i.v))
{
w[i.u].push_back(i.v);
w[i.v].push_back(i.u);
}
}
for (edge i : a)
{
if (i.u == root || i.v == root)
continue;
if (Union(i.u, i.v))
{
w[i.u].push_back(i.v);
w[i.v].push_back(i.u);
}
if (dsu[Find(i.u)] <= -sz[1].fi)
break;
}
for (edge i : a)
{
if ((i.u == root || i.v == root) && Union(i.u, i.v))
{
w[i.u].push_back(i.v);
w[i.v].push_back(i.u);
}
}
DFS(0, -1);
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
// freopen(task".INP", "r", stdin);
// freopen(task".OUT", "w", stdout);
cin >> n >> m;
for (int i = 1; i <= 3; i++)
{
cin >> sz[i].fi;
sz[i].se = i;
}
sort(sz + 1, sz + 4);
for (int i = 0; i < n; i++)
{
dsu[i] = -1;
ans[i] = 3;
}
for (int i = 1; i <= m; i++)
{
edge tmp;
cin >> tmp.u >> tmp.v;
a.push_back(tmp);
}
for (int i = 0; i < a.size(); i++)
{
if (Union(a[i].u, a[i].v))
{
w[a[i].u].push_back(a[i].v);
w[a[i].v].push_back(a[i].u);
a[i].id = 1;
}
}
root = -1;
DFS(0, -1);
if (!tt)
Part2();
for (int i = 0; i < n; i++)
cout << sz[ans[i]].se * tt << " ";
}
