# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|---|---|---|---|---|---|---|
645128 | dattranxxx | Split the Attractions (IOI19_split) | C++17 | 0 ms | 0 KiB |
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;
using ll = long long;
const int N = 1e5 + 5;
vector<pair<int, int>> adj[N];
int n, m;
void impossible() {
for (int v = 0; v < n; ++v)
cout << 0 << ' ';
exit(0);
}
int R = -1, R2 = 0, t = 0; pair<int, int> x[3];
int low[N], in[N], siz[N];
vector<int> tri[N];
void build(int u, int e = -1) {
in[u] = low[u] = ++t;
int flag = 1; siz[u] = 1;
for (auto& c : adj[u]) if (c.second != e) {
int v = c.first;
if (in[v]) low[u] = min(low[u], low[v]);
else tri[u].emplace_back(v), build(v, c.second),
low[u] = min(low[u], in[v]), siz[u] += siz[v], flag &= siz[v] < x[0].first;
}
flag &= siz[u] >= x[0].first;
if (flag && R == -1) 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(R2);
vector<int> result(n);
for (int i = 0; i < n; ++i)
result[i] = res[i];
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], P2 += siz[v], dfs(v, x[2].second);
else dfs2(v);
}
}
int main() {
cin.tie(0)->sync_with_stdio(0); cout.tie(0);
cin >> n >> m;
for (int i = 0; i < 3; ++i) cin >> x[i].first, x[i].second = i + 1;
sort(x, x + 3);
for (int i = 0, u, v; i < m; ++i)
cin >> u >> v,
adj[u].emplace_back(v, i),
adj[v].emplace_back(u, i);
build(0);
if (R == -1) impossible();
for (int v = 0; v < n; ++v) ans[v] = x[2].second;
dfs(R, x[0].second);
P1 = siz[R], P2 = n - P1;
dfs2(R);
vector<int> result = print();
if (x[0].first || x[1].first)
impossible();
for (int x : result) cout << x << ' ';
return 0;
}