//consider scc graph
//u -> v
//if u bad then v must be bad
//so every ingoing edge into v must be good and sum of sub(tree?graph?) must be >= minimal parent
//i dont even need scc,only scc is if all values are equal okay yes
#include <bits/stdc++.h>
using namespace std;
#define sz(a) (int)(a.size())
#define all(a) a.begin(),a.end()
#define pb push_back
#define owo ios_base::sync_with_stdio(0);cin.tie(0);
typedef long long int ll;
const int MAXN = 2e5+5;
int s[MAXN];
vector<int>adj[MAXN],group[MAXN];
vector<int>gr[MAXN],g[MAXN],ord;
int vis[MAXN],par[MAXN];
int find(int x){
if(x==par[x])return x;
return par[x] = find(par[x]);
}
void unite(int a,int b){
a = find(a);
b = find(b);
if(a==b)return;
par[a] = b;
}
void dfs(int v){
vis[v] = 1;
for(int x:g[v]){
if(!vis[x])dfs(x);
}
ord.pb(v);
}
ll dp[MAXN];
int main()
{
owo
int n,m,mx = 0;
cin>>n>>m;
for(int i=0;i<n;i++){
cin>>s[i];
par[i] = i;
mx = max(mx,s[i]);
}
for(int i=0;i<m;i++){
int a,b;
cin>>a>>b;
a--;
b--;
if(s[a] > s[b])adj[a].pb(b);
if(s[b] > s[a])adj[b].pb(a);
if(s[a]==s[b])unite(a,b);
}
for(int i=0;i<n;i++)group[find(i)].pb(i);
for(int i=0;i<n;i++){
if(group[i].empty())continue;
for(int v:group[i]){
for(int y:adj[v]){
int x = find(y);
if(vis[x] || x==i)continue;
vis[x] = 1;
g[i].pb(x);
gr[x].pb(i);
}
}
for(int v:group[i]){
for(int x:adj[v]){
vis[find(x)] = 0;
}
}
}
for(int i=0;i<n;i++){
if(!group[i].empty() && !vis[i])dfs(i);
}
for(int v:ord){
dp[v] = sz(group[v]) * 1LL * s[group[v][0]];
for(int x:g[v])dp[v]+=dp[x];
}
vector<bool>good(n,0);
vector<array<ll,2>>v;
for(int i=0;i<n;i++){
if(!group[i].empty())v.pb({-dp[i],i});
}
sort(all(v));
for(auto x:v){
ll val = -x[0];
int u = x[1];
if(val >= mx)good[u] = 1;
for(int p:gr[u]){
//cout<<p<<" ";
if(good[p] && val >= s[group[p][0]])good[u] = 1;
}
}
for(int i=0;i<n;i++)cout<<good[find(i)];
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
19028 KB |
Output is correct |
2 |
Correct |
12 ms |
19028 KB |
Output is correct |
3 |
Correct |
9 ms |
19028 KB |
Output is correct |
4 |
Incorrect |
13 ms |
19304 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
19028 KB |
Output is correct |
2 |
Correct |
9 ms |
19028 KB |
Output is correct |
3 |
Correct |
234 ms |
53924 KB |
Output is correct |
4 |
Correct |
86 ms |
23060 KB |
Output is correct |
5 |
Correct |
273 ms |
48740 KB |
Output is correct |
6 |
Correct |
236 ms |
49232 KB |
Output is correct |
7 |
Correct |
259 ms |
49616 KB |
Output is correct |
8 |
Correct |
93 ms |
22820 KB |
Output is correct |
9 |
Correct |
155 ms |
47792 KB |
Output is correct |
10 |
Correct |
179 ms |
43256 KB |
Output is correct |
11 |
Correct |
92 ms |
23880 KB |
Output is correct |
12 |
Correct |
102 ms |
27056 KB |
Output is correct |
13 |
Correct |
76 ms |
22620 KB |
Output is correct |
14 |
Correct |
84 ms |
23000 KB |
Output is correct |
15 |
Correct |
171 ms |
63452 KB |
Output is correct |
16 |
Correct |
132 ms |
63020 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
10 ms |
19108 KB |
Output is correct |
2 |
Incorrect |
204 ms |
47756 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
10 ms |
19028 KB |
Output is correct |
2 |
Incorrect |
262 ms |
45052 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
9 ms |
19028 KB |
Output is correct |
2 |
Correct |
12 ms |
19028 KB |
Output is correct |
3 |
Correct |
9 ms |
19028 KB |
Output is correct |
4 |
Incorrect |
13 ms |
19304 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |