//Dost SEFEROĞLU
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
#define int long long
#define pii pair<int,int>
#define ff first
#define ss second
#define sp << " " <<
#define all(cont) cont.begin(),cont.end()
#define vi vector<int>
#define ordered_set tree<pii,null_type,less<pii>,rb_tree_tag,tree_order_statistics_node_update>
const int MOD = 1e9+7,inf = 2e18;
const int N = 1e6+50;
struct DSU {
int n;
vi dad,sm,sz;
stack<int> st;
DSU(int nn) {
n = nn;
dad.resize(n+1);
iota(all(dad),0ll);
sm.assign(n+1,0),sz.assign(n+1,1);
}
void unite(int a,int b) {
int x = find(a),y = find(b);
if (x == y) {
st.push(-1);
return;
}
if (sz[x] < sz[y]) swap(x,y);
st.push(y);
dad[y] = x;
sm[x]+=sm[y];
sz[x]+=sz[y];
}
int find(int x) {
if (x == dad[x]) return x;
return find(dad[x]);
}
void rollback() {
assert(!st.empty());
if (st.top() == -1) {
st.pop();
return;
}
sm[dad[st.top()]]-=sm[st.top()];
sz[dad[st.top()]]-=sz[st.top()];
dad[st.top()] = st.top();
st.pop();
}
};
void solve() {
int n,m;
cin >> n >> m;
map<int,vector<pii>> edg;
vi w(n+1);
for (int i=1;i<=n;i++) cin >> w[i];
for (int i=1;i<=m;i++) {
int a,b;
cin >> a >> b;
edg[max(w[a],w[b])].push_back({a,b});
}
vi ans(n+1,0);
vector<pii> ps(n+1);
for (int i=1;i<=n;i++) ps[i] = {w[i],i};
DSU dsu(n);
for (int i=1;i<=n;i++) dsu.sm[i] = w[i];
sort(ps.begin()+1,ps.end(),greater<pii>());
for (int i=n;i>=1;i--) {
if (i == n || ps[i].ff != ps[i+1].ff) {
for (auto it : edg[ps[i].ff]) {
dsu.unite(it.ff,it.ss);
}
}
}
int req = 0;
for (int i=1;i<=n;i++) {
if (i != 1 && ps[i-1].ff != ps[i].ff) {
for (auto& it : edg[ps[i-1].ff]) dsu.rollback();
req = ps[i-1].ff;
}
if (dsu.sm[dsu.find(ps[i].ss)] >= req) ans[ps[i].ss] = 1;
}
for (int i=1;i<=n;i++) cout << ans[i];
cout << endl;
}
signed main() {
ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#ifdef Dodi
freopen("in.txt","r",stdin);
freopen("out.txt","w",stdout);
#endif
int t = 1;
//cin >> t;
while (t --> 0) solve();
}
Compilation message
island.cpp: In function 'void solve()':
island.cpp:83:24: warning: unused variable 'it' [-Wunused-variable]
83 | for (auto& it : edg[ps[i-1].ff]) dsu.rollback();
| ^~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Incorrect |
1 ms |
600 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
344 KB |
Output is correct |
2 |
Correct |
1 ms |
348 KB |
Output is correct |
3 |
Correct |
185 ms |
38628 KB |
Output is correct |
4 |
Correct |
74 ms |
19424 KB |
Output is correct |
5 |
Incorrect |
184 ms |
37200 KB |
Output isn't correct |
6 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
344 KB |
Output is correct |
2 |
Incorrect |
209 ms |
38388 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Incorrect |
85 ms |
20776 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
348 KB |
Output is correct |
2 |
Correct |
0 ms |
348 KB |
Output is correct |
3 |
Correct |
0 ms |
348 KB |
Output is correct |
4 |
Incorrect |
1 ms |
600 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |