#include <bits/stdc++.h>
#define ll long long
#define pii pair <ll, ll>
#define st first
#define nd second
#define rep(i, n, m) for (ll i = (n); i <= (m); i ++)
#define rrep(i, n, m) for (ll i = (n); i >= (m); i --)
using namespace std;
const long long INF = 1e18;
const long long N = 2e5;
ll s[N], n, m, f[N], pos[N], ans[N];
pii a[N];
ll nxt[N];
vector <int> d[N];
namespace DSU {
int par[N];
ll sz[N];
void init() {
rep(i, 1, n) par[i] = i, sz[i] = s[i];
}
int find(int u) {
return u == par[u] ? u : par[u] = find(par[u]);
}
void uni(int u, int v) {
u = find(u); v = find(v);
if (u == v) return;
par[u] = v;
sz[v] += sz[u];
}
}
namespace DSU_set_merge {
set <pii> st[N];
int par[N];
void init() {
rep(i, 1, n) {
par[i] = i;
for (int v: d[i]) if (s[v] >= s[i])
st[i].insert(pii(s[v], v));
}
}
int find(int u) {
return u == par[u] ? u : par[u] = find(par[u]);
}
void uni(int u, int v) {
u = find(u); v = find(v);
if (u == v) return;
if (st[u].size() > st[v].size()) swap(u, v);
st[v].insert(st[u].begin(), st[u].end());
st[u].clear();
par[u] = v;
}
int find_greater(int u, pii x) {
int rt = find(u);
auto it = st[rt].upper_bound(x);
if (it != st[rt].end()) return it->nd;
return 0;
}
}
signed main() {
ios_base::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
cin >> n >> m;
rep(i, 1, n) {
cin >> s[i];
a[i] = {s[i], i};
}
rep(i, 1, m) {
int u, v;
cin >> u >> v;
d[u].push_back(v);
d[v].push_back(u);
}
DSU :: init();
DSU_set_merge :: init();
sort(a + 1, a + 1 + n);
rep(i, 1, n) pos[a[i].nd] = i;
s[0] = 1e9;
rep(i, 1, n) {
int u = a[i].nd;
nxt[u] = 0;
for (int v: d[u]) {
if (s[v] <= s[u]) {
DSU_set_merge :: uni(u, v);
int tmp = DSU_set_merge :: find_greater(v, a[i]);
if (s[tmp] <= s[nxt[u]])
nxt[u] = tmp;
} else {
if (s[v] <= s[nxt[u]])
nxt[u] = v;
}
if (s[v] <= s[u] && pos[v] < pos[u])
DSU :: uni(u, v);
}
if (nxt[u] == 0) nxt[u] = u;
f[u] = DSU :: sz[DSU :: find(u)];
//cout << a[i].st << ' ' << a[i].nd << ' ' << nxt[u] << ' ' << f[u] << '\n';
}
ans[a[n].nd] = true;
rrep(i, n - 1, 1) {
int u = a[i].nd;
int v = nxt[u];
ans[u] = f[u] >= s[v] && ans[v];
}
rep(i, 1, n) cout << ans[i];
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
7 ms |
14420 KB |
Output is correct |
2 |
Correct |
8 ms |
14472 KB |
Output is correct |
3 |
Correct |
7 ms |
14420 KB |
Output is correct |
4 |
Correct |
9 ms |
14676 KB |
Output is correct |
5 |
Correct |
9 ms |
14804 KB |
Output is correct |
6 |
Correct |
10 ms |
14804 KB |
Output is correct |
7 |
Correct |
9 ms |
14676 KB |
Output is correct |
8 |
Correct |
9 ms |
14668 KB |
Output is correct |
9 |
Correct |
9 ms |
14804 KB |
Output is correct |
10 |
Correct |
9 ms |
14808 KB |
Output is correct |
11 |
Correct |
9 ms |
14676 KB |
Output is correct |
12 |
Correct |
10 ms |
14696 KB |
Output is correct |
13 |
Correct |
10 ms |
14888 KB |
Output is correct |
14 |
Correct |
11 ms |
14804 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
7 ms |
14420 KB |
Output is correct |
2 |
Correct |
7 ms |
14420 KB |
Output is correct |
3 |
Runtime error |
141 ms |
82940 KB |
Execution killed with signal 11 |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
7 ms |
14456 KB |
Output is correct |
2 |
Correct |
457 ms |
47308 KB |
Output is correct |
3 |
Runtime error |
173 ms |
82988 KB |
Execution killed with signal 11 |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
7 ms |
14420 KB |
Output is correct |
2 |
Correct |
461 ms |
48628 KB |
Output is correct |
3 |
Correct |
483 ms |
48516 KB |
Output is correct |
4 |
Runtime error |
163 ms |
85624 KB |
Execution killed with signal 11 |
5 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
7 ms |
14420 KB |
Output is correct |
2 |
Correct |
8 ms |
14472 KB |
Output is correct |
3 |
Correct |
7 ms |
14420 KB |
Output is correct |
4 |
Correct |
9 ms |
14676 KB |
Output is correct |
5 |
Correct |
9 ms |
14804 KB |
Output is correct |
6 |
Correct |
10 ms |
14804 KB |
Output is correct |
7 |
Correct |
9 ms |
14676 KB |
Output is correct |
8 |
Correct |
9 ms |
14668 KB |
Output is correct |
9 |
Correct |
9 ms |
14804 KB |
Output is correct |
10 |
Correct |
9 ms |
14808 KB |
Output is correct |
11 |
Correct |
9 ms |
14676 KB |
Output is correct |
12 |
Correct |
10 ms |
14696 KB |
Output is correct |
13 |
Correct |
10 ms |
14888 KB |
Output is correct |
14 |
Correct |
11 ms |
14804 KB |
Output is correct |
15 |
Correct |
7 ms |
14420 KB |
Output is correct |
16 |
Correct |
7 ms |
14420 KB |
Output is correct |
17 |
Runtime error |
141 ms |
82940 KB |
Execution killed with signal 11 |
18 |
Halted |
0 ms |
0 KB |
- |