이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
#include <bits/stdc++.h>
using std::vector;
using std::array;
using std::pair;
using std::tuple;
using ll = long long;
template <class F> struct fixed : private F {
explicit fixed(F&& f) : F(std::forward<F>(f)) {}
template <class... Args> decltype(auto) operator()(Args&&... args) const {
return F::operator()(*this, std::forward<Args>(args)...);
}
};
template <class T>
constexpr T infty = std::numeric_limits<T>::max() / 2;
struct UnionFind {
vector<int> par;
explicit UnionFind(const int n) : par(n, -1) {}
int find(int u) {
return par[u] < 0 ? u : par[u] = find(par[u]);
}
pair<int, bool> merge(int u, int v) {
u = find(u);
v = find(v);
if (u == v) {
return {u, false};
}
if (par[u] > par[v]) {
std::swap(u, v);
}
par[u] += par[v];
par[v] = u;
return {u, true};
}
};
int main() {
std::ios_base::sync_with_stdio(false);
std::cin.tie(nullptr);
int N, M;
std::cin >> N >> M;
vector<int> P(N);
for (auto& x : P) {
std::cin >> x;
}
vector<vector<int>> graph(N);
for (int i = 0; i < M; ++i) {
int u, v;
std::cin >> u >> v;
u -= 1, v -= 1;
graph[u].push_back(v);
graph[v].push_back(u);
}
vector<int> ord(N);
std::iota(ord.begin(), ord.end(), 0);
std::sort(ord.begin(), ord.end(), [&](const int i, const int j) {
return P[i] < P[j];
});
vector<char> seen(N);
vector<int> ans(N, 1);
UnionFind dsu(N);
vector<vector<int>> list(N);
vector<ll> sum(N);
for (const int u : ord) {
vector<int> new_list = {u};
ll new_sum = P[u];
int root = u;
for (const int v : graph[u]) {
if (seen[v]) {
const int vr = dsu.find(v);
const auto [w, f] = dsu.merge(u, vr);
if (f) {
if (sum[vr] >= P[u]) {
auto& add = list[vr];
if (add.size() > new_list.size()) {
std::swap(add, new_list);
}
for (const int x : add) {
new_list.push_back(x);
}
} else {
for (const int x : list[vr]) {
ans[x] = false;
}
}
new_sum += sum[vr];
root = w;
}
}
}
list[root] = std::move(new_list);
sum[root] = new_sum;
seen[u] = true;
}
for (const int x : ans) {
std::cout << x;
}
std::cout << '\n';
return 0;
}
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