제출 #601044

#제출 시각아이디문제언어결과실행 시간메모리
601044alextodoranStranded Far From Home (BOI22_island)C++17
100 / 100
230 ms35588 KiB
/**
 ____ ____ ____ ____ ____
||a |||t |||o |||d |||o ||
||__|||__|||__|||__|||__||
|/__\|/__\|/__\|/__\|/__\|

**/

#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

const int N_MAX = 200000;

int N, M;
int weight[N_MAX + 2];
vector <int> adj[N_MAX + 2];

int order[N_MAX + 2];

int root[N_MAX + 2];
ll sum[N_MAX + 2];

int findRoot (int u) {
    return (root[u] == 0 ? u : root[u] = findRoot(root[u]));
}

bool seen[N_MAX + 2];

vector <int> sons[N_MAX + 2];

bool answer[N_MAX + 2];
void dfs (int u, int parent = 0) {
    answer[u] = true;
    for (int v : sons[u]) {
        if (v != parent) {
            dfs(v, u);
        }
    }
}

int main () {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);

    cin >> N >> M;
    for (int u = 1; u <= N; u++) {
        cin >> weight[u];
    }
    for (int i = 1; i <= M; i++) {
        int u, v;
        cin >> u >> v;
        adj[u].push_back(v);
        adj[v].push_back(u);
    }
    iota(order + 1, order + N + 1, 1);
    sort(order + 1, order + N + 1, [&] (const int &u, const int &v) {
        return weight[u] < weight[v];
    });

    copy(weight + 1, weight + N + 1, sum + 1);

    for (int i = 1; i <= N; i++) {
        int u = order[i];
        seen[u] = true;
        for (int v : adj[u]) {
            if (seen[v] == true) {
                v = findRoot(v);
                if (v != u) {
                    if (sum[v] >= weight[u]) {
                        sons[u].push_back(v);
                    }
                    root[v] = u;
                    sum[u] += sum[v];
                }
            }
        }
    }
    dfs(order[N]);
    for (int u = 1; u <= N; u++) {
        cout << answer[u];
    }
    cout << "\n";

    return 0;
}
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