Submission #574165

#TimeUsernameProblemLanguageResultExecution timeMemory
574165MilosMilutinovicStranded Far From Home (BOI22_island)C++14
100 / 100
252 ms36804 KiB
#include <bits/stdc++.h>
using namespace std;
const int N = 200005;
int n, m, s[N], fa[N], mx[N], ans[N];
long long sum[N];
vector<int> g[N], ch[N];
int getfa(int x) {
    return fa[x] == x ? x : fa[x] = getfa(fa[x]);
}
void unite(int x, int y) {
    x = getfa(x);
    y = getfa(y);
    if (x == y)
        return;
    if (sum[x] < mx[y])
        ch[x].clear();
    if (mx[x] > sum[y])
        ch[y].clear();
    if (ch[x].size() < ch[y].size())
        swap(x, y);
    for (int i : ch[y])
        ch[x].push_back(i);
    fa[y] = x;
    mx[x] = max(mx[x], mx[y]);
    sum[x] += sum[y];
}
int main() {
    ios::sync_with_stdio(false);
    cin.tie(0), cout.tie(0);
    cin >> n >> m;
    for (int i = 1; i <= n; i++)
        cin >> s[i];
    vector<pair<int, int>> edg;
    for (int i = 0; i < m; i++) {
        int u, v;
        cin >> u >> v;
        g[u].push_back(v);
        g[v].push_back(u);
        edg.push_back({u, v});
    }
    sort(edg.begin(), edg.end(), [&](pair<int, int> x, pair<int, int> y) {
        return max(s[x.first], s[x.second]) < max(s[y.first], s[y.second]);
    });
    for (int i = 1; i <= n; i++) {
        fa[i] = i;
        ch[i] = {i};
        mx[i] = s[i];
        sum[i] = s[i];
    }
    for (auto& e : edg) {
        int u = e.first;
        int v = e.second;
        unite(u, v);
    }
    for (int i : ch[getfa(1)])
        ans[i] = 1;
    for (int i = 1; i <= n; i++)
        cout << ans[i];
}
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