#include <bits/stdc++.h>
using namespace std;
using ll = long long;
const int maxn = 2e5 + 1;
ll S[maxn];
vector <int> adj[maxn];
vector <int> mark[maxn];
bool ans[maxn];
bool inserted[maxn], vis[maxn], in_marked[maxn];
int id[maxn];
struct DSU {
vector <int> link, sz, lst_added;
vector <ll> sum;
DSU (int s) {
lst_added = link = sz = vector <int> (s+1);
sum = vector <ll> (s+1);
for (int i = 1; i <= s; i++) {
lst_added[i] = link[i] = i;
sz[i] = 1;
sum[i] = S[i];
}
}
int head(int x) {
while (x != link[x])
x = link[x];
return x;
}
bool same(int a, int b) {
return head(a) == head(b);
}
void unite(int a, int b) {
a = head(a);
b = head(b);
if (a == b)
return;
if (sz[a] > sz[b])
swap(a, b);
sz[a] += sz[b];
sum[a] += sum[b];
link[b] = a;
if (id[lst_added[a]] > id[lst_added[b]])
lst_added[a] = lst_added[a];
else
lst_added[a] = lst_added[b];
}
};
void dfs(int s, bool x) {
ans[s] &= x;
for (auto i : mark[s])
dfs(i, ans[s]);
}
int main() {
// freopen("in.txt", "r", stdin);
// freopen("out.txt", "w", stdout);
int n, m;
cin >> n >> m;
fill(ans, ans + n + 1, true);
for (int i = 1; i <= n; i++)
cin >> S[i];
for (int i = 0; i < m; i++) {
int a, b;
cin >> a >> b;
adj[a].push_back(b);
adj[b].push_back(a);
}
DSU dsu(n+1);
vector <pair <int, int>> nodes;
for (int i = 1; i <= n; i++) {
nodes.push_back({S[i], i});
}
sort(nodes.begin(), nodes.end());
for (int i = 0; i < n; i++)
id[nodes[i].second] = i;
for (int i = 0; i < n; i++) {
for (auto j : adj[nodes[i].second]) {
if (!vis[j])
continue;
int x = dsu.lst_added[dsu.head(j)];
if (dsu.sum[dsu.head(j)] < nodes[i].first)
ans[x] = false;
if (!in_marked[x] && nodes[i].second != x) {
in_marked[x] = true;
mark[nodes[i].second].push_back(x);
}
dsu.unite(nodes[i].second, j);
}
vis[nodes[i].second] = true;
}
dfs(nodes[n-1].second, true);
for (int i = 1; i <= n; i++)
cout << ans[i];
cout << '\n';
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
12636 KB |
Output is correct |
2 |
Correct |
3 ms |
12756 KB |
Output is correct |
3 |
Correct |
2 ms |
12636 KB |
Output is correct |
4 |
Correct |
5 ms |
12788 KB |
Output is correct |
5 |
Correct |
4 ms |
12892 KB |
Output is correct |
6 |
Correct |
5 ms |
12892 KB |
Output is correct |
7 |
Correct |
4 ms |
12764 KB |
Output is correct |
8 |
Correct |
4 ms |
12892 KB |
Output is correct |
9 |
Correct |
9 ms |
12944 KB |
Output is correct |
10 |
Correct |
3 ms |
12888 KB |
Output is correct |
11 |
Correct |
3 ms |
12888 KB |
Output is correct |
12 |
Correct |
4 ms |
12892 KB |
Output is correct |
13 |
Correct |
3 ms |
12892 KB |
Output is correct |
14 |
Correct |
3 ms |
12892 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
12636 KB |
Output is correct |
2 |
Correct |
2 ms |
12636 KB |
Output is correct |
3 |
Correct |
169 ms |
31292 KB |
Output is correct |
4 |
Correct |
143 ms |
35680 KB |
Output is correct |
5 |
Correct |
146 ms |
28352 KB |
Output is correct |
6 |
Correct |
182 ms |
28988 KB |
Output is correct |
7 |
Correct |
152 ms |
28740 KB |
Output is correct |
8 |
Execution timed out |
1012 ms |
26056 KB |
Time limit exceeded |
9 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
12636 KB |
Output is correct |
2 |
Correct |
177 ms |
28984 KB |
Output is correct |
3 |
Correct |
195 ms |
28864 KB |
Output is correct |
4 |
Correct |
173 ms |
36288 KB |
Output is correct |
5 |
Correct |
135 ms |
34624 KB |
Output is correct |
6 |
Correct |
196 ms |
28868 KB |
Output is correct |
7 |
Correct |
163 ms |
36152 KB |
Output is correct |
8 |
Correct |
174 ms |
36292 KB |
Output is correct |
9 |
Correct |
130 ms |
35880 KB |
Output is correct |
10 |
Correct |
157 ms |
30404 KB |
Output is correct |
11 |
Correct |
155 ms |
29892 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
12636 KB |
Output is correct |
2 |
Execution timed out |
1093 ms |
28604 KB |
Time limit exceeded |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
2 ms |
12636 KB |
Output is correct |
2 |
Correct |
3 ms |
12756 KB |
Output is correct |
3 |
Correct |
2 ms |
12636 KB |
Output is correct |
4 |
Correct |
5 ms |
12788 KB |
Output is correct |
5 |
Correct |
4 ms |
12892 KB |
Output is correct |
6 |
Correct |
5 ms |
12892 KB |
Output is correct |
7 |
Correct |
4 ms |
12764 KB |
Output is correct |
8 |
Correct |
4 ms |
12892 KB |
Output is correct |
9 |
Correct |
9 ms |
12944 KB |
Output is correct |
10 |
Correct |
3 ms |
12888 KB |
Output is correct |
11 |
Correct |
3 ms |
12888 KB |
Output is correct |
12 |
Correct |
4 ms |
12892 KB |
Output is correct |
13 |
Correct |
3 ms |
12892 KB |
Output is correct |
14 |
Correct |
3 ms |
12892 KB |
Output is correct |
15 |
Correct |
2 ms |
12636 KB |
Output is correct |
16 |
Correct |
2 ms |
12636 KB |
Output is correct |
17 |
Correct |
169 ms |
31292 KB |
Output is correct |
18 |
Correct |
143 ms |
35680 KB |
Output is correct |
19 |
Correct |
146 ms |
28352 KB |
Output is correct |
20 |
Correct |
182 ms |
28988 KB |
Output is correct |
21 |
Correct |
152 ms |
28740 KB |
Output is correct |
22 |
Execution timed out |
1012 ms |
26056 KB |
Time limit exceeded |
23 |
Halted |
0 ms |
0 KB |
- |