#include<bits/stdc++.h>
using namespace std;
#define ll long long
struct info{
int node;
ll people;
bool operator <(const info &i) const{
return people > i.people;
}
};
int N, M;
vector<ll> A;
vector<bool> taken, vis;
vector<vector<int>> graph;
vector<ll> P;
void dfs(int curr){
vis[curr] = true;
vector<int> adj = graph[curr];
P[curr] = A[curr];
for(int a : adj){
if(vis[a]) continue;
dfs(a);
P[curr] += P[a];
}
}
void solver(int curr, int p, vector<bool> &ans){
vis[curr] = true;
vector<int> adj = graph[curr];
for(int a : adj){
if(vis[a]) continue;
if(curr){
if(P[curr] >= A[p]){
ans[curr] = 1;
}else{
ans[curr] = 0;
continue;
}
}
dfs(a);
}
}
void solve(){
cin>>N>>M;
A.assign(N, 0);
P.assign(N, 0);
graph.assign(N, vector<int>());
vis.assign(N, false);
for(ll &v:A) cin>>v;
for(int i = 0; i < M; i++){
int a, b;
cin>>a>>b;
a--;
b--;
graph[a].push_back(b);
graph[b].push_back(a);
}
vector<bool> ans(N, 1);
dfs(0);
ll sum = accumulate(A.begin(), A.end(), 0LL);
bool subtask1 = N <= 2000 && M <= 2000;
if(subtask1){
int last_color = N;
for(int color = 0; color < last_color; color++){
priority_queue<info> pq;
// inizializzo la pq
vector<int> adj = graph[color];
taken.assign(N, false);
taken[color] = true;
for(int a : adj)
pq.push({a, A[a]});
ll total = A[color];
while(!pq.empty()){
info i = pq.top();
pq.pop();
int node = i.node;
ll abitants = i.people;
if(taken[node]) continue;
taken[node] = true;
if(abitants > total)
break;
total += abitants;
vector<int> adj = graph[node];
for(int a : adj){
if(taken[a]) continue;
pq.push({a, A[a]});
}
}
ans[color] = total == sum;
}
for(int i = 0; i < N; i++) cout<<ans[i];
cout<<endl;
return;
}
vis.assign(N, false);
ans.assign(N, false);
ans[0] = 1;
solver(0, -1, ans);
for(int i = 0; i < N; i++) cout<<ans[i];
cout<<endl;
}
int main(){
solve();
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
215 ms |
476 KB |
Output is correct |
5 |
Correct |
168 ms |
448 KB |
Output is correct |
6 |
Correct |
234 ms |
468 KB |
Output is correct |
7 |
Correct |
214 ms |
476 KB |
Output is correct |
8 |
Correct |
169 ms |
468 KB |
Output is correct |
9 |
Correct |
231 ms |
556 KB |
Output is correct |
10 |
Correct |
88 ms |
680 KB |
Output is correct |
11 |
Correct |
83 ms |
660 KB |
Output is correct |
12 |
Correct |
115 ms |
340 KB |
Output is correct |
13 |
Correct |
175 ms |
664 KB |
Output is correct |
14 |
Correct |
85 ms |
340 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Incorrect |
302 ms |
24552 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Incorrect |
345 ms |
39432 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Incorrect |
337 ms |
16380 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
215 ms |
476 KB |
Output is correct |
5 |
Correct |
168 ms |
448 KB |
Output is correct |
6 |
Correct |
234 ms |
468 KB |
Output is correct |
7 |
Correct |
214 ms |
476 KB |
Output is correct |
8 |
Correct |
169 ms |
468 KB |
Output is correct |
9 |
Correct |
231 ms |
556 KB |
Output is correct |
10 |
Correct |
88 ms |
680 KB |
Output is correct |
11 |
Correct |
83 ms |
660 KB |
Output is correct |
12 |
Correct |
115 ms |
340 KB |
Output is correct |
13 |
Correct |
175 ms |
664 KB |
Output is correct |
14 |
Correct |
85 ms |
340 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
0 ms |
212 KB |
Output is correct |
17 |
Incorrect |
302 ms |
24552 KB |
Output isn't correct |
18 |
Halted |
0 ms |
0 KB |
- |