#include <bits/stdc++.h>
using namespace std;
typedef int64_t ll;
const int N = 200'005;
int par[N], sz[N], par2[N], bad[N], a[N];
ll cnt[N];
set<array<int, 3>> adj[N];
pair<int, int> find2(int u) {
if (par2[u] == u) {
return {u, bad[u]};
}
pair<int, int> v = find2(par2[u]);
bad[u] |= v.second;
par2[u] = v.first;
return {par2[u], bad[u]};
}
pair<int, int> find(int u) {
if (par[u] == u) {
return {u, bad[u]};
}
pair<int, int> v = find(par[u]);
par[u] = v.first;
return {par[u], bad[u]};
}
void join2(int u, int v) {
u = find2(u).first;
v = find2(v).first;
if (u == v) return;
par2[v] = u;
}
void join(int u, int v) {
u = find(u).first, v = find(v).first;
if (u == v) return;
if (sz[u] < sz[v]) swap(u, v);
par[v] = u, sz[u] += sz[v], cnt[u] += cnt[v];
for (auto [vnxt, nxt, src] : adj[v]) {
int x = find(nxt).first;
if (x != u) {
adj[u].insert({a[nxt], nxt, src});
} else {
adj[u].erase({a[src], src, nxt});
}
}
adj[v].clear();
}
int main() {
ios_base::sync_with_stdio(0), cin.tie(0);
int n, m;
cin >> n >> m;
for (int i = 0; i < n; i++) {
par[i] = i, par2[i] = i, sz[i] = 1, bad[i] = 0;
cin >> cnt[i];
a[i] = cnt[i];
}
for (int i = 0, u, v; i < m; i++) {
cin >> u >> v;
u--, v--;
adj[u].insert({a[v], v, u});
adj[v].insert({a[u], u, v});
}
priority_queue<pair<ll, pair<int, int>>> pq;
for (int i = 0; i < n; i++) {
pq.push({-cnt[i], {i, i}});
}
while (pq.size()) {
int node = pq.top().second.first;
int node2 = pq.top().second.second;
ll val = -pq.top().first;
pq.pop();
if (node != par[node]) {
continue;
}
if (val != cnt[node]) {
continue;
}
if (sz[node] == n) {
continue;
}
if (adj[node].empty() || val < (*adj[node].begin())[0]) {
bad[node2] = 1;
continue;
}
int x = (*adj[node].begin())[1];
join(node, x);
int New = find(node).first;
join2(node2, x);
int New2 = find2(node).first;
pq.push({-cnt[New], {New, New2}});
}
for (int i = 0; i < n; i++) {
cout << !find2(i).second;
}
cout << '\n';
return 0;
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
14936 KB |
Output is correct |
2 |
Correct |
3 ms |
14940 KB |
Output is correct |
3 |
Correct |
2 ms |
14936 KB |
Output is correct |
4 |
Correct |
4 ms |
15192 KB |
Output is correct |
5 |
Correct |
4 ms |
15192 KB |
Output is correct |
6 |
Correct |
4 ms |
15192 KB |
Output is correct |
7 |
Correct |
5 ms |
15196 KB |
Output is correct |
8 |
Correct |
4 ms |
15192 KB |
Output is correct |
9 |
Correct |
4 ms |
15192 KB |
Output is correct |
10 |
Correct |
5 ms |
15192 KB |
Output is correct |
11 |
Correct |
4 ms |
15192 KB |
Output is correct |
12 |
Correct |
4 ms |
15192 KB |
Output is correct |
13 |
Correct |
4 ms |
15192 KB |
Output is correct |
14 |
Correct |
4 ms |
15192 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
14936 KB |
Output is correct |
2 |
Correct |
2 ms |
14936 KB |
Output is correct |
3 |
Correct |
290 ms |
46000 KB |
Output is correct |
4 |
Correct |
257 ms |
45408 KB |
Output is correct |
5 |
Correct |
293 ms |
44484 KB |
Output is correct |
6 |
Correct |
322 ms |
44484 KB |
Output is correct |
7 |
Correct |
343 ms |
45152 KB |
Output is correct |
8 |
Correct |
336 ms |
44688 KB |
Output is correct |
9 |
Correct |
322 ms |
45276 KB |
Output is correct |
10 |
Correct |
355 ms |
57100 KB |
Output is correct |
11 |
Correct |
365 ms |
62428 KB |
Output is correct |
12 |
Correct |
344 ms |
45880 KB |
Output is correct |
13 |
Correct |
229 ms |
44480 KB |
Output is correct |
14 |
Correct |
242 ms |
45004 KB |
Output is correct |
15 |
Correct |
184 ms |
45900 KB |
Output is correct |
16 |
Correct |
125 ms |
45760 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
14936 KB |
Output is correct |
2 |
Correct |
344 ms |
45644 KB |
Output is correct |
3 |
Correct |
330 ms |
45252 KB |
Output is correct |
4 |
Correct |
245 ms |
44912 KB |
Output is correct |
5 |
Correct |
227 ms |
45248 KB |
Output is correct |
6 |
Correct |
350 ms |
45508 KB |
Output is correct |
7 |
Correct |
211 ms |
46448 KB |
Output is correct |
8 |
Correct |
195 ms |
45132 KB |
Output is correct |
9 |
Correct |
117 ms |
45248 KB |
Output is correct |
10 |
Correct |
247 ms |
46272 KB |
Output is correct |
11 |
Correct |
298 ms |
46016 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
2 ms |
14936 KB |
Output is correct |
2 |
Correct |
412 ms |
46076 KB |
Output is correct |
3 |
Correct |
350 ms |
45408 KB |
Output is correct |
4 |
Correct |
408 ms |
44496 KB |
Output is correct |
5 |
Correct |
344 ms |
45000 KB |
Output is correct |
6 |
Correct |
352 ms |
45612 KB |
Output is correct |
7 |
Correct |
383 ms |
63016 KB |
Output is correct |
8 |
Correct |
320 ms |
44760 KB |
Output is correct |
9 |
Correct |
613 ms |
42184 KB |
Output is correct |
10 |
Correct |
335 ms |
44892 KB |
Output is correct |
11 |
Correct |
279 ms |
44708 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
3 ms |
14936 KB |
Output is correct |
2 |
Correct |
3 ms |
14940 KB |
Output is correct |
3 |
Correct |
2 ms |
14936 KB |
Output is correct |
4 |
Correct |
4 ms |
15192 KB |
Output is correct |
5 |
Correct |
4 ms |
15192 KB |
Output is correct |
6 |
Correct |
4 ms |
15192 KB |
Output is correct |
7 |
Correct |
5 ms |
15196 KB |
Output is correct |
8 |
Correct |
4 ms |
15192 KB |
Output is correct |
9 |
Correct |
4 ms |
15192 KB |
Output is correct |
10 |
Correct |
5 ms |
15192 KB |
Output is correct |
11 |
Correct |
4 ms |
15192 KB |
Output is correct |
12 |
Correct |
4 ms |
15192 KB |
Output is correct |
13 |
Correct |
4 ms |
15192 KB |
Output is correct |
14 |
Correct |
4 ms |
15192 KB |
Output is correct |
15 |
Correct |
3 ms |
14936 KB |
Output is correct |
16 |
Correct |
2 ms |
14936 KB |
Output is correct |
17 |
Correct |
290 ms |
46000 KB |
Output is correct |
18 |
Correct |
257 ms |
45408 KB |
Output is correct |
19 |
Correct |
293 ms |
44484 KB |
Output is correct |
20 |
Correct |
322 ms |
44484 KB |
Output is correct |
21 |
Correct |
343 ms |
45152 KB |
Output is correct |
22 |
Correct |
336 ms |
44688 KB |
Output is correct |
23 |
Correct |
322 ms |
45276 KB |
Output is correct |
24 |
Correct |
355 ms |
57100 KB |
Output is correct |
25 |
Correct |
365 ms |
62428 KB |
Output is correct |
26 |
Correct |
344 ms |
45880 KB |
Output is correct |
27 |
Correct |
229 ms |
44480 KB |
Output is correct |
28 |
Correct |
242 ms |
45004 KB |
Output is correct |
29 |
Correct |
184 ms |
45900 KB |
Output is correct |
30 |
Correct |
125 ms |
45760 KB |
Output is correct |
31 |
Correct |
3 ms |
14936 KB |
Output is correct |
32 |
Correct |
344 ms |
45644 KB |
Output is correct |
33 |
Correct |
330 ms |
45252 KB |
Output is correct |
34 |
Correct |
245 ms |
44912 KB |
Output is correct |
35 |
Correct |
227 ms |
45248 KB |
Output is correct |
36 |
Correct |
350 ms |
45508 KB |
Output is correct |
37 |
Correct |
211 ms |
46448 KB |
Output is correct |
38 |
Correct |
195 ms |
45132 KB |
Output is correct |
39 |
Correct |
117 ms |
45248 KB |
Output is correct |
40 |
Correct |
247 ms |
46272 KB |
Output is correct |
41 |
Correct |
298 ms |
46016 KB |
Output is correct |
42 |
Correct |
2 ms |
14936 KB |
Output is correct |
43 |
Correct |
412 ms |
46076 KB |
Output is correct |
44 |
Correct |
350 ms |
45408 KB |
Output is correct |
45 |
Correct |
408 ms |
44496 KB |
Output is correct |
46 |
Correct |
344 ms |
45000 KB |
Output is correct |
47 |
Correct |
352 ms |
45612 KB |
Output is correct |
48 |
Correct |
383 ms |
63016 KB |
Output is correct |
49 |
Correct |
320 ms |
44760 KB |
Output is correct |
50 |
Correct |
613 ms |
42184 KB |
Output is correct |
51 |
Correct |
335 ms |
44892 KB |
Output is correct |
52 |
Correct |
279 ms |
44708 KB |
Output is correct |
53 |
Correct |
3 ms |
14936 KB |
Output is correct |
54 |
Correct |
3 ms |
14936 KB |
Output is correct |
55 |
Correct |
2 ms |
14936 KB |
Output is correct |
56 |
Correct |
5 ms |
15192 KB |
Output is correct |
57 |
Correct |
4 ms |
15192 KB |
Output is correct |
58 |
Correct |
4 ms |
15192 KB |
Output is correct |
59 |
Correct |
5 ms |
15192 KB |
Output is correct |
60 |
Correct |
6 ms |
15192 KB |
Output is correct |
61 |
Correct |
4 ms |
15192 KB |
Output is correct |
62 |
Correct |
4 ms |
15192 KB |
Output is correct |
63 |
Correct |
4 ms |
15192 KB |
Output is correct |
64 |
Correct |
4 ms |
15192 KB |
Output is correct |
65 |
Correct |
4 ms |
15192 KB |
Output is correct |
66 |
Correct |
5 ms |
15192 KB |
Output is correct |
67 |
Correct |
286 ms |
46516 KB |
Output is correct |
68 |
Correct |
256 ms |
44992 KB |
Output is correct |
69 |
Correct |
306 ms |
45260 KB |
Output is correct |
70 |
Correct |
317 ms |
46532 KB |
Output is correct |
71 |
Correct |
304 ms |
46016 KB |
Output is correct |
72 |
Correct |
349 ms |
46056 KB |
Output is correct |
73 |
Correct |
294 ms |
44740 KB |
Output is correct |
74 |
Correct |
384 ms |
56344 KB |
Output is correct |
75 |
Correct |
343 ms |
62488 KB |
Output is correct |
76 |
Correct |
332 ms |
45528 KB |
Output is correct |
77 |
Correct |
242 ms |
44992 KB |
Output is correct |
78 |
Correct |
235 ms |
46328 KB |
Output is correct |
79 |
Correct |
180 ms |
46588 KB |
Output is correct |
80 |
Correct |
117 ms |
46020 KB |
Output is correct |
81 |
Correct |
349 ms |
46280 KB |
Output is correct |
82 |
Correct |
325 ms |
45760 KB |
Output is correct |
83 |
Correct |
244 ms |
45504 KB |
Output is correct |
84 |
Correct |
227 ms |
45760 KB |
Output is correct |
85 |
Correct |
358 ms |
45248 KB |
Output is correct |
86 |
Correct |
191 ms |
46040 KB |
Output is correct |
87 |
Correct |
191 ms |
46016 KB |
Output is correct |
88 |
Correct |
244 ms |
46016 KB |
Output is correct |
89 |
Correct |
275 ms |
46272 KB |
Output is correct |
90 |
Correct |
402 ms |
45248 KB |
Output is correct |
91 |
Correct |
398 ms |
44996 KB |
Output is correct |
92 |
Correct |
390 ms |
45000 KB |
Output is correct |
93 |
Correct |
411 ms |
46248 KB |
Output is correct |
94 |
Correct |
387 ms |
45932 KB |
Output is correct |
95 |
Correct |
374 ms |
62944 KB |
Output is correct |
96 |
Correct |
309 ms |
44560 KB |
Output is correct |
97 |
Correct |
520 ms |
42196 KB |
Output is correct |
98 |
Correct |
331 ms |
46528 KB |
Output is correct |
99 |
Correct |
298 ms |
46016 KB |
Output is correct |
100 |
Correct |
625 ms |
40372 KB |
Output is correct |
101 |
Correct |
396 ms |
45280 KB |
Output is correct |
102 |
Correct |
490 ms |
46076 KB |
Output is correct |
103 |
Correct |
465 ms |
44956 KB |
Output is correct |
104 |
Correct |
415 ms |
46332 KB |
Output is correct |