#include <bits/stdc++.h>
using namespace std;
#define REP(i, j, k) for (int i = j; i < k; i++)
#define RREP(i, j, k) for (int i = j; i >= k; i--)
template <class T>
inline bool mnto(T &a, const T b) {return a > b ? a = b, 1 : 0;}
template <class T>
inline bool mxto(T &a, const T b) {return a < b ? a = b, 1 : 0;}
typedef long long ll;
#define FI first
#define SE second
typedef pair<int, int> ii;
typedef pair<ll, ll> pll;
#define ALL(x) x.begin(), x.end()
#define SZ(x) (int) x.size()
#define pb push_back
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<ii> vii;
typedef tuple<int, int, int> iii;
#ifndef DEBUG
#define cerr if (0) cerr
#endif
const int MAXN = 300005;
const int INF = 1000000005;
const ll LINF = 1000000000000000005;
const int MAXL = 20;
int n, m;
int s[MAXN];
set<ii> adj[MAXN];
bool vis[MAXN];
int ap[MAXN];
bool ans[MAXN];
ll sm[MAXN];
int p[MAXN], rnk[MAXN];
void init() {
REP (i, 1, n + 1) {
sm[i] = s[i];
p[i] = i;
rnk[i] = 1;
}
}
int findp(int i) {
if (p[i] == i) return i;
return p[i] = findp(p[i]);
}
bool join(int a, int b) {
int pa = findp(a), pb = findp(b);
if (pa == pb) return 0;
if (rnk[pa] < rnk[pb]) swap(pa, pb);
if (rnk[pa] == rnk[pb]) rnk[pa]++;
p[pb] = pa;
sm[pa] += sm[pb];
if (adj[pa].size() < adj[pb].size()) {
swap(adj[pa], adj[pb]);
}
for (ii v : adj[pb]) {
adj[pa].insert(v);
}
return 1;
}
int main() {
#ifndef DEBUG
ios::sync_with_stdio(0), cin.tie(0);
#endif
cin >> n >> m;
REP (i, 1, n + 1) {
cin >> s[i];
}
REP (i, 0, m) {
int u, v; cin >> u >> v;
adj[u].insert({s[v], v});
adj[v].insert({s[u], u});
}
init();
vi id(n, 0);
iota(ALL(id), 1);
sort(ALL(id), [&] (int l, int r) {
return s[l] < s[r];
});
for (int u : id) {
vis[u] = 1;
vi toj;
for (auto [w, v] : adj[u]) {
if (vis[v]) {
toj.pb(v);
}
}
cerr << u << '\n';
for (int v : toj) {
cerr << u << " <-> " << v << '\n';
join(u, v);
}
int fp = findp(u);
while (!adj[fp].empty() && vis[findp(adj[fp].begin() -> SE)]) {
adj[fp].erase(adj[fp].begin());
}
ap[u] = -1;
if (!adj[fp].empty() && sm[fp] >= adj[fp].begin() -> FI) {
ap[u] = adj[fp].begin() -> SE;
}
}
reverse(ALL(id));
ans[id[0]] = 1;
for (int u : id) {
cerr << u << ": " << ap[u] << '\n';
if (ap[u] == -1) continue;
ans[u] = ans[ap[u]];
}
REP (i, 1, n + 1) {
cout << ans[i];
}
cout << '\n';
return 0;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
14420 KB |
Output is correct |
2 |
Correct |
8 ms |
14432 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 |
14676 KB |
Output is correct |
6 |
Correct |
9 ms |
14828 KB |
Output is correct |
7 |
Correct |
9 ms |
14684 KB |
Output is correct |
8 |
Correct |
9 ms |
14684 KB |
Output is correct |
9 |
Correct |
10 ms |
14804 KB |
Output is correct |
10 |
Correct |
8 ms |
14696 KB |
Output is correct |
11 |
Correct |
10 ms |
14676 KB |
Output is correct |
12 |
Correct |
8 ms |
14688 KB |
Output is correct |
13 |
Correct |
9 ms |
14824 KB |
Output is correct |
14 |
Correct |
9 ms |
14648 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
14388 KB |
Output is correct |
2 |
Correct |
7 ms |
14420 KB |
Output is correct |
3 |
Correct |
208 ms |
41424 KB |
Output is correct |
4 |
Correct |
296 ms |
67976 KB |
Output is correct |
5 |
Correct |
222 ms |
39896 KB |
Output is correct |
6 |
Correct |
236 ms |
41184 KB |
Output is correct |
7 |
Correct |
268 ms |
41928 KB |
Output is correct |
8 |
Correct |
415 ms |
59068 KB |
Output is correct |
9 |
Correct |
215 ms |
41548 KB |
Output is correct |
10 |
Correct |
282 ms |
43060 KB |
Output is correct |
11 |
Correct |
320 ms |
42904 KB |
Output is correct |
12 |
Correct |
331 ms |
46764 KB |
Output is correct |
13 |
Correct |
269 ms |
70244 KB |
Output is correct |
14 |
Correct |
278 ms |
68980 KB |
Output is correct |
15 |
Correct |
191 ms |
43068 KB |
Output is correct |
16 |
Correct |
117 ms |
41660 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
8 ms |
14420 KB |
Output is correct |
2 |
Correct |
295 ms |
42512 KB |
Output is correct |
3 |
Correct |
293 ms |
41984 KB |
Output is correct |
4 |
Correct |
325 ms |
79156 KB |
Output is correct |
5 |
Correct |
266 ms |
66544 KB |
Output is correct |
6 |
Correct |
287 ms |
42560 KB |
Output is correct |
7 |
Correct |
218 ms |
42588 KB |
Output is correct |
8 |
Correct |
219 ms |
42528 KB |
Output is correct |
9 |
Correct |
112 ms |
40660 KB |
Output is correct |
10 |
Correct |
267 ms |
59952 KB |
Output is correct |
11 |
Correct |
264 ms |
50236 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
14424 KB |
Output is correct |
2 |
Correct |
358 ms |
43168 KB |
Output is correct |
3 |
Correct |
345 ms |
44080 KB |
Output is correct |
4 |
Correct |
344 ms |
42548 KB |
Output is correct |
5 |
Correct |
491 ms |
68388 KB |
Output is correct |
6 |
Correct |
456 ms |
59804 KB |
Output is correct |
7 |
Correct |
289 ms |
41556 KB |
Output is correct |
8 |
Correct |
220 ms |
74924 KB |
Output is correct |
9 |
Correct |
342 ms |
41036 KB |
Output is correct |
10 |
Correct |
478 ms |
68924 KB |
Output is correct |
11 |
Correct |
272 ms |
48960 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
7 ms |
14420 KB |
Output is correct |
2 |
Correct |
8 ms |
14432 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 |
14676 KB |
Output is correct |
6 |
Correct |
9 ms |
14828 KB |
Output is correct |
7 |
Correct |
9 ms |
14684 KB |
Output is correct |
8 |
Correct |
9 ms |
14684 KB |
Output is correct |
9 |
Correct |
10 ms |
14804 KB |
Output is correct |
10 |
Correct |
8 ms |
14696 KB |
Output is correct |
11 |
Correct |
10 ms |
14676 KB |
Output is correct |
12 |
Correct |
8 ms |
14688 KB |
Output is correct |
13 |
Correct |
9 ms |
14824 KB |
Output is correct |
14 |
Correct |
9 ms |
14648 KB |
Output is correct |
15 |
Correct |
7 ms |
14388 KB |
Output is correct |
16 |
Correct |
7 ms |
14420 KB |
Output is correct |
17 |
Correct |
208 ms |
41424 KB |
Output is correct |
18 |
Correct |
296 ms |
67976 KB |
Output is correct |
19 |
Correct |
222 ms |
39896 KB |
Output is correct |
20 |
Correct |
236 ms |
41184 KB |
Output is correct |
21 |
Correct |
268 ms |
41928 KB |
Output is correct |
22 |
Correct |
415 ms |
59068 KB |
Output is correct |
23 |
Correct |
215 ms |
41548 KB |
Output is correct |
24 |
Correct |
282 ms |
43060 KB |
Output is correct |
25 |
Correct |
320 ms |
42904 KB |
Output is correct |
26 |
Correct |
331 ms |
46764 KB |
Output is correct |
27 |
Correct |
269 ms |
70244 KB |
Output is correct |
28 |
Correct |
278 ms |
68980 KB |
Output is correct |
29 |
Correct |
191 ms |
43068 KB |
Output is correct |
30 |
Correct |
117 ms |
41660 KB |
Output is correct |
31 |
Correct |
8 ms |
14420 KB |
Output is correct |
32 |
Correct |
295 ms |
42512 KB |
Output is correct |
33 |
Correct |
293 ms |
41984 KB |
Output is correct |
34 |
Correct |
325 ms |
79156 KB |
Output is correct |
35 |
Correct |
266 ms |
66544 KB |
Output is correct |
36 |
Correct |
287 ms |
42560 KB |
Output is correct |
37 |
Correct |
218 ms |
42588 KB |
Output is correct |
38 |
Correct |
219 ms |
42528 KB |
Output is correct |
39 |
Correct |
112 ms |
40660 KB |
Output is correct |
40 |
Correct |
267 ms |
59952 KB |
Output is correct |
41 |
Correct |
264 ms |
50236 KB |
Output is correct |
42 |
Correct |
7 ms |
14424 KB |
Output is correct |
43 |
Correct |
358 ms |
43168 KB |
Output is correct |
44 |
Correct |
345 ms |
44080 KB |
Output is correct |
45 |
Correct |
344 ms |
42548 KB |
Output is correct |
46 |
Correct |
491 ms |
68388 KB |
Output is correct |
47 |
Correct |
456 ms |
59804 KB |
Output is correct |
48 |
Correct |
289 ms |
41556 KB |
Output is correct |
49 |
Correct |
220 ms |
74924 KB |
Output is correct |
50 |
Correct |
342 ms |
41036 KB |
Output is correct |
51 |
Correct |
478 ms |
68924 KB |
Output is correct |
52 |
Correct |
272 ms |
48960 KB |
Output is correct |
53 |
Correct |
7 ms |
14420 KB |
Output is correct |
54 |
Correct |
9 ms |
14420 KB |
Output is correct |
55 |
Correct |
7 ms |
14420 KB |
Output is correct |
56 |
Correct |
9 ms |
14676 KB |
Output is correct |
57 |
Correct |
9 ms |
14720 KB |
Output is correct |
58 |
Correct |
9 ms |
14824 KB |
Output is correct |
59 |
Correct |
8 ms |
14688 KB |
Output is correct |
60 |
Correct |
9 ms |
14676 KB |
Output is correct |
61 |
Correct |
10 ms |
14888 KB |
Output is correct |
62 |
Correct |
8 ms |
14676 KB |
Output is correct |
63 |
Correct |
9 ms |
14676 KB |
Output is correct |
64 |
Correct |
8 ms |
14616 KB |
Output is correct |
65 |
Correct |
9 ms |
14820 KB |
Output is correct |
66 |
Correct |
9 ms |
14680 KB |
Output is correct |
67 |
Correct |
212 ms |
42128 KB |
Output is correct |
68 |
Correct |
303 ms |
68236 KB |
Output is correct |
69 |
Correct |
232 ms |
39328 KB |
Output is correct |
70 |
Correct |
241 ms |
41324 KB |
Output is correct |
71 |
Correct |
233 ms |
40664 KB |
Output is correct |
72 |
Correct |
433 ms |
58836 KB |
Output is correct |
73 |
Correct |
222 ms |
41744 KB |
Output is correct |
74 |
Correct |
291 ms |
41272 KB |
Output is correct |
75 |
Correct |
296 ms |
41556 KB |
Output is correct |
76 |
Correct |
344 ms |
46144 KB |
Output is correct |
77 |
Correct |
277 ms |
70088 KB |
Output is correct |
78 |
Correct |
282 ms |
67832 KB |
Output is correct |
79 |
Correct |
190 ms |
41816 KB |
Output is correct |
80 |
Correct |
112 ms |
42428 KB |
Output is correct |
81 |
Correct |
287 ms |
41408 KB |
Output is correct |
82 |
Correct |
316 ms |
42276 KB |
Output is correct |
83 |
Correct |
315 ms |
75212 KB |
Output is correct |
84 |
Correct |
263 ms |
66084 KB |
Output is correct |
85 |
Correct |
289 ms |
43728 KB |
Output is correct |
86 |
Correct |
222 ms |
43592 KB |
Output is correct |
87 |
Correct |
216 ms |
43476 KB |
Output is correct |
88 |
Correct |
278 ms |
59280 KB |
Output is correct |
89 |
Correct |
269 ms |
47892 KB |
Output is correct |
90 |
Correct |
357 ms |
43724 KB |
Output is correct |
91 |
Correct |
364 ms |
45508 KB |
Output is correct |
92 |
Correct |
361 ms |
45644 KB |
Output is correct |
93 |
Correct |
476 ms |
67668 KB |
Output is correct |
94 |
Correct |
447 ms |
59992 KB |
Output is correct |
95 |
Correct |
307 ms |
43464 KB |
Output is correct |
96 |
Correct |
231 ms |
74532 KB |
Output is correct |
97 |
Correct |
383 ms |
41444 KB |
Output is correct |
98 |
Correct |
468 ms |
70604 KB |
Output is correct |
99 |
Correct |
264 ms |
50344 KB |
Output is correct |
100 |
Correct |
325 ms |
35348 KB |
Output is correct |
101 |
Correct |
346 ms |
43596 KB |
Output is correct |
102 |
Correct |
449 ms |
56760 KB |
Output is correct |
103 |
Correct |
375 ms |
43212 KB |
Output is correct |
104 |
Correct |
356 ms |
41220 KB |
Output is correct |