#include <bits/stdc++.h>
using namespace std;
#define int long long
mt19937_64 RNG(chrono::steady_clock::now().time_since_epoch().count());
const int N = 2e5 + 5;
vector<int> g[N];
int a[N];
struct node
{
int index, sum, parent;
bool merge;
pair<int, int> children;
node(int i, int s, int p, bool m)
{
index = i;
sum = s;
parent = p;
merge = m;
children = {-1, -1};
}
} *reach[2 * N];
int Find(int idx)
{
if(reach[idx]->parent == idx)
{
return idx;
}
return reach[idx]->parent = Find(reach[idx]->parent);
}
void Unite(int node1, int node2, int parent_node)
{
reach[node1]->parent = parent_node;
reach[node2]->parent = parent_node;
reach[parent_node]->sum = reach[node1]->sum + reach[node2]->sum;
reach[parent_node]->children = {node1, node2};
}
void dfs(int node, bool merge_parents)
{
reach[node]->merge &= merge_parents;
if(reach[node]->children.first == -1)
{
return;
}
dfs(reach[node]->children.first, reach[node]->merge);
dfs(reach[node]->children.second, reach[node]->merge);
}
void Solve()
{
int n, m;
cin >> n >> m;
for(int i = n + 1; i <= 2 * n; i++)
{
reach[i] = new node(i, 0, i, false);
}
vector<array<int, 2> > order;
for(int i = 1; i <= n; i++)
{
cin >> a[i];
reach[i] = new node(i, a[i], i, false);
order.push_back({a[i], i});
}
for(int i = 1; i <= m; i++)
{
int u, v;
cin >> u >> v;
g[u].push_back(v);
g[v].push_back(u);
}
sort(order.begin(), order.end());
int new_index = n + 1;
for(int i = 1; i <= n; i++)
{
// cout << "i = " << i << endl;
int current_index = order[i][1];
// cout << "current_index = " << current_index << endl;
for(int to: g[current_index])
{
if(a[to] <= a[current_index])
{
int parent_current_index = Find(current_index);
reach[parent_current_index]->merge = true;
int parent_index = Find(to);
if(reach[parent_index]->sum >= a[current_index])
{
reach[parent_index]->merge = true;
}
if(parent_index == parent_current_index)
{
continue;
}
// cout << "merging " << parent_current_index << " and " << parent_index << " to " << new_index << ".\n";
Unite(parent_current_index, parent_index, new_index);
new_index = new_index + 1;
}
}
}
reach[new_index - 1]->merge = true;
// for(int i = 1; i < new_index; i++)
// {
// cout << "current index: " << i << "\n";
// cout << "sum: " << reach[i]->sum << ", parent: " << reach[i]->parent << ", merge: " << reach[i]->merge << "\n";
// }
dfs(new_index - 1, true);
for(int i = 1; i <= n; i++)
{
cout << ((reach[i]->merge) ? ('1') : ('0'));
}
}
int32_t main()
{
auto begin = std::chrono::high_resolution_clock::now();
ios_base::sync_with_stdio(0);
cin.tie(0);
int t = 1;
// cin >> t;
for(int i = 1; i <= t; i++)
{
//cout << "Case #" << i << ": ";
Solve();
}
auto end = std::chrono::high_resolution_clock::now();
auto elapsed = std::chrono::duration_cast<std::chrono::nanoseconds>(end - begin);
cerr << "Time measured: " << elapsed.count() * 1e-9 << " seconds.\n";
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
4948 KB |
Output is correct |
2 |
Correct |
3 ms |
4948 KB |
Output is correct |
3 |
Correct |
3 ms |
5028 KB |
Output is correct |
4 |
Correct |
6 ms |
5332 KB |
Output is correct |
5 |
Correct |
5 ms |
5440 KB |
Output is correct |
6 |
Correct |
5 ms |
5300 KB |
Output is correct |
7 |
Incorrect |
5 ms |
5332 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
4948 KB |
Output is correct |
2 |
Correct |
3 ms |
4932 KB |
Output is correct |
3 |
Correct |
183 ms |
50536 KB |
Output is correct |
4 |
Incorrect |
186 ms |
54088 KB |
Output isn't correct |
5 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
4948 KB |
Output is correct |
2 |
Correct |
223 ms |
48440 KB |
Output is correct |
3 |
Incorrect |
238 ms |
48744 KB |
Output isn't correct |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
4948 KB |
Output is correct |
2 |
Incorrect |
335 ms |
49712 KB |
Output isn't correct |
3 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
4948 KB |
Output is correct |
2 |
Correct |
3 ms |
4948 KB |
Output is correct |
3 |
Correct |
3 ms |
5028 KB |
Output is correct |
4 |
Correct |
6 ms |
5332 KB |
Output is correct |
5 |
Correct |
5 ms |
5440 KB |
Output is correct |
6 |
Correct |
5 ms |
5300 KB |
Output is correct |
7 |
Incorrect |
5 ms |
5332 KB |
Output isn't correct |
8 |
Halted |
0 ms |
0 KB |
- |