/*The British Royal Family and a small cadre of English Fabian Socialists, in
conjunction with the Rockefellers and the Rothchilds, are engaged in a
conspiracy to greatly reduce the population of the human race in order to head
off a Malthusian catastrophe, a catastrophe that could easily be avoided by
simply building a massive amount of nuclear power plants and a number of massive
superhighways and bridges to connect all of the world's continents. But doing
that would cut into the conspiracy's profits. So the British Royal Family
invented environmentalism and neoliberalism in order to hide the truth. And in
order to further reduce the population, the British Royal Family is also the
world's foremost drug trafficking conspiracy. And it uses its control of the IMF
to push austerity in order to kill as many people in the global south as
possible.
And also Henry Kissinger is a gay KGB agent. */
#include <iostream>
#include <algorithm>
#include <utility>
#include <vector>
#include <stack>
#include <queue>
#include <set>
#include <map>
using namespace std;
int64_t n, m, s[200000], comprep[200000], compsze[200000], compmax[200000], compsum[200000];
pair<int, int> edges[200000];
set<int> compdom[200000];
bool vertcomp(int a, int b){
if (s[a] != s[b]) return s[a] < s[b];
return a < b;
}
bool edgecomp(pair<int, int> a, pair<int, int> b){
if (a.first != b.first) return vertcomp(a.first, b.first);
return vertcomp(a.second, b.second);
}
int findp(int node){
if (comprep[comprep[node]] == comprep[node]) return comprep[node];
comprep[node] = findp(comprep[node]);
return comprep[node];
}
void unite(int na, int nb){
int pa = findp(na), pb = findp(nb);
if (pa == pb) return;
if (compsze[pb] < compsze[pa]) swap(pa, pb);
comprep[pa] = pb;
compsze[pb] += compsze[pa];
if (compsum[pa] < compmax[pb]) compdom[pa].clear();
if (compsum[pb] < compmax[pa]) compdom[pb].clear();
if (compdom[pa].size() > compdom[pb].size()) swap(compdom[pa], compdom[pb]);
for (int i: compdom[pa]) compdom[pb].insert(i);
compmax[pb] = max(compmax[pa], compmax[pb]);
compsum[pb] += compsum[pa];
}
int main(){
cin.tie(0);
ios_base::sync_with_stdio(0);
cin >> n >> m;
for (int i = 0; i < n; i++){
cin >> s[i];
comprep[i] = i;
compsze[i] = 1;
compsum[i] = s[i];
compmax[i] = s[i];
compdom[i] = {i};
}
for (int i = 0; i < m; i++){
cin >> edges[i].first >> edges[i].second;
edges[i].first--;
edges[i].second--;
if (vertcomp(edges[i].first, edges[i].second)) swap(edges[i].first, edges[i].second);
}
sort(edges, edges + m, edgecomp);
for (int i = 0; i < m; i++) unite(edges[i].first, edges[i].second);
for (int i = 0; i < n; i++) cout << (compdom[findp(0)].find(i) != compdom[findp(0)].end());
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
19036 KB |
Output is correct |
2 |
Correct |
4 ms |
19032 KB |
Output is correct |
3 |
Correct |
4 ms |
19036 KB |
Output is correct |
4 |
Correct |
5 ms |
19036 KB |
Output is correct |
5 |
Correct |
5 ms |
19292 KB |
Output is correct |
6 |
Correct |
5 ms |
19292 KB |
Output is correct |
7 |
Correct |
4 ms |
19036 KB |
Output is correct |
8 |
Correct |
5 ms |
19036 KB |
Output is correct |
9 |
Correct |
4 ms |
19036 KB |
Output is correct |
10 |
Correct |
5 ms |
19352 KB |
Output is correct |
11 |
Correct |
5 ms |
19288 KB |
Output is correct |
12 |
Correct |
5 ms |
19292 KB |
Output is correct |
13 |
Correct |
4 ms |
19292 KB |
Output is correct |
14 |
Correct |
5 ms |
19304 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
19036 KB |
Output is correct |
2 |
Correct |
3 ms |
19036 KB |
Output is correct |
3 |
Correct |
125 ms |
34248 KB |
Output is correct |
4 |
Correct |
127 ms |
41044 KB |
Output is correct |
5 |
Correct |
196 ms |
49024 KB |
Output is correct |
6 |
Correct |
207 ms |
51280 KB |
Output is correct |
7 |
Correct |
199 ms |
50512 KB |
Output is correct |
8 |
Correct |
136 ms |
42428 KB |
Output is correct |
9 |
Correct |
162 ms |
58368 KB |
Output is correct |
10 |
Correct |
86 ms |
32336 KB |
Output is correct |
11 |
Correct |
131 ms |
41756 KB |
Output is correct |
12 |
Correct |
137 ms |
39312 KB |
Output is correct |
13 |
Correct |
111 ms |
41032 KB |
Output is correct |
14 |
Correct |
123 ms |
41132 KB |
Output is correct |
15 |
Correct |
144 ms |
42704 KB |
Output is correct |
16 |
Correct |
115 ms |
41552 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
19032 KB |
Output is correct |
2 |
Correct |
236 ms |
52972 KB |
Output is correct |
3 |
Correct |
234 ms |
57224 KB |
Output is correct |
4 |
Correct |
138 ms |
42324 KB |
Output is correct |
5 |
Correct |
111 ms |
41044 KB |
Output is correct |
6 |
Correct |
243 ms |
57052 KB |
Output is correct |
7 |
Correct |
148 ms |
42440 KB |
Output is correct |
8 |
Correct |
148 ms |
42440 KB |
Output is correct |
9 |
Correct |
120 ms |
41472 KB |
Output is correct |
10 |
Correct |
116 ms |
32272 KB |
Output is correct |
11 |
Correct |
132 ms |
39528 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
19032 KB |
Output is correct |
2 |
Correct |
253 ms |
39072 KB |
Output is correct |
3 |
Correct |
249 ms |
46536 KB |
Output is correct |
4 |
Correct |
280 ms |
54356 KB |
Output is correct |
5 |
Correct |
314 ms |
67920 KB |
Output is correct |
6 |
Correct |
259 ms |
54204 KB |
Output is correct |
7 |
Correct |
138 ms |
42948 KB |
Output is correct |
8 |
Correct |
119 ms |
36692 KB |
Output is correct |
9 |
Correct |
103 ms |
29404 KB |
Output is correct |
10 |
Correct |
305 ms |
72076 KB |
Output is correct |
11 |
Correct |
137 ms |
39608 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
5 ms |
19036 KB |
Output is correct |
2 |
Correct |
4 ms |
19032 KB |
Output is correct |
3 |
Correct |
4 ms |
19036 KB |
Output is correct |
4 |
Correct |
5 ms |
19036 KB |
Output is correct |
5 |
Correct |
5 ms |
19292 KB |
Output is correct |
6 |
Correct |
5 ms |
19292 KB |
Output is correct |
7 |
Correct |
4 ms |
19036 KB |
Output is correct |
8 |
Correct |
5 ms |
19036 KB |
Output is correct |
9 |
Correct |
4 ms |
19036 KB |
Output is correct |
10 |
Correct |
5 ms |
19352 KB |
Output is correct |
11 |
Correct |
5 ms |
19288 KB |
Output is correct |
12 |
Correct |
5 ms |
19292 KB |
Output is correct |
13 |
Correct |
4 ms |
19292 KB |
Output is correct |
14 |
Correct |
5 ms |
19304 KB |
Output is correct |
15 |
Correct |
3 ms |
19036 KB |
Output is correct |
16 |
Correct |
3 ms |
19036 KB |
Output is correct |
17 |
Correct |
125 ms |
34248 KB |
Output is correct |
18 |
Correct |
127 ms |
41044 KB |
Output is correct |
19 |
Correct |
196 ms |
49024 KB |
Output is correct |
20 |
Correct |
207 ms |
51280 KB |
Output is correct |
21 |
Correct |
199 ms |
50512 KB |
Output is correct |
22 |
Correct |
136 ms |
42428 KB |
Output is correct |
23 |
Correct |
162 ms |
58368 KB |
Output is correct |
24 |
Correct |
86 ms |
32336 KB |
Output is correct |
25 |
Correct |
131 ms |
41756 KB |
Output is correct |
26 |
Correct |
137 ms |
39312 KB |
Output is correct |
27 |
Correct |
111 ms |
41032 KB |
Output is correct |
28 |
Correct |
123 ms |
41132 KB |
Output is correct |
29 |
Correct |
144 ms |
42704 KB |
Output is correct |
30 |
Correct |
115 ms |
41552 KB |
Output is correct |
31 |
Correct |
3 ms |
19032 KB |
Output is correct |
32 |
Correct |
236 ms |
52972 KB |
Output is correct |
33 |
Correct |
234 ms |
57224 KB |
Output is correct |
34 |
Correct |
138 ms |
42324 KB |
Output is correct |
35 |
Correct |
111 ms |
41044 KB |
Output is correct |
36 |
Correct |
243 ms |
57052 KB |
Output is correct |
37 |
Correct |
148 ms |
42440 KB |
Output is correct |
38 |
Correct |
148 ms |
42440 KB |
Output is correct |
39 |
Correct |
120 ms |
41472 KB |
Output is correct |
40 |
Correct |
116 ms |
32272 KB |
Output is correct |
41 |
Correct |
132 ms |
39528 KB |
Output is correct |
42 |
Correct |
3 ms |
19032 KB |
Output is correct |
43 |
Correct |
253 ms |
39072 KB |
Output is correct |
44 |
Correct |
249 ms |
46536 KB |
Output is correct |
45 |
Correct |
280 ms |
54356 KB |
Output is correct |
46 |
Correct |
314 ms |
67920 KB |
Output is correct |
47 |
Correct |
259 ms |
54204 KB |
Output is correct |
48 |
Correct |
138 ms |
42948 KB |
Output is correct |
49 |
Correct |
119 ms |
36692 KB |
Output is correct |
50 |
Correct |
103 ms |
29404 KB |
Output is correct |
51 |
Correct |
305 ms |
72076 KB |
Output is correct |
52 |
Correct |
137 ms |
39608 KB |
Output is correct |
53 |
Correct |
4 ms |
19032 KB |
Output is correct |
54 |
Correct |
4 ms |
19036 KB |
Output is correct |
55 |
Correct |
3 ms |
19036 KB |
Output is correct |
56 |
Correct |
4 ms |
19036 KB |
Output is correct |
57 |
Correct |
5 ms |
19288 KB |
Output is correct |
58 |
Correct |
4 ms |
19292 KB |
Output is correct |
59 |
Correct |
4 ms |
19036 KB |
Output is correct |
60 |
Correct |
5 ms |
19136 KB |
Output is correct |
61 |
Correct |
4 ms |
19268 KB |
Output is correct |
62 |
Correct |
5 ms |
19292 KB |
Output is correct |
63 |
Correct |
5 ms |
19292 KB |
Output is correct |
64 |
Correct |
5 ms |
19288 KB |
Output is correct |
65 |
Correct |
4 ms |
19292 KB |
Output is correct |
66 |
Correct |
5 ms |
19292 KB |
Output is correct |
67 |
Correct |
126 ms |
38736 KB |
Output is correct |
68 |
Correct |
127 ms |
41296 KB |
Output is correct |
69 |
Correct |
221 ms |
48840 KB |
Output is correct |
70 |
Correct |
216 ms |
51460 KB |
Output is correct |
71 |
Correct |
241 ms |
50620 KB |
Output is correct |
72 |
Correct |
140 ms |
42476 KB |
Output is correct |
73 |
Correct |
177 ms |
58308 KB |
Output is correct |
74 |
Correct |
93 ms |
32216 KB |
Output is correct |
75 |
Correct |
141 ms |
41708 KB |
Output is correct |
76 |
Correct |
147 ms |
39552 KB |
Output is correct |
77 |
Correct |
114 ms |
41040 KB |
Output is correct |
78 |
Correct |
128 ms |
41156 KB |
Output is correct |
79 |
Correct |
138 ms |
42576 KB |
Output is correct |
80 |
Correct |
115 ms |
41496 KB |
Output is correct |
81 |
Correct |
257 ms |
57224 KB |
Output is correct |
82 |
Correct |
256 ms |
57176 KB |
Output is correct |
83 |
Correct |
142 ms |
42568 KB |
Output is correct |
84 |
Correct |
110 ms |
41008 KB |
Output is correct |
85 |
Correct |
257 ms |
56680 KB |
Output is correct |
86 |
Correct |
145 ms |
42576 KB |
Output is correct |
87 |
Correct |
145 ms |
42568 KB |
Output is correct |
88 |
Correct |
127 ms |
32440 KB |
Output is correct |
89 |
Correct |
131 ms |
39456 KB |
Output is correct |
90 |
Correct |
248 ms |
43344 KB |
Output is correct |
91 |
Correct |
249 ms |
46312 KB |
Output is correct |
92 |
Correct |
291 ms |
54348 KB |
Output is correct |
93 |
Correct |
343 ms |
68072 KB |
Output is correct |
94 |
Correct |
271 ms |
54096 KB |
Output is correct |
95 |
Correct |
137 ms |
42580 KB |
Output is correct |
96 |
Correct |
122 ms |
36692 KB |
Output is correct |
97 |
Correct |
103 ms |
29532 KB |
Output is correct |
98 |
Correct |
307 ms |
72220 KB |
Output is correct |
99 |
Correct |
134 ms |
39536 KB |
Output is correct |
100 |
Correct |
54 ms |
21312 KB |
Output is correct |
101 |
Correct |
243 ms |
47320 KB |
Output is correct |
102 |
Correct |
175 ms |
43724 KB |
Output is correct |
103 |
Correct |
186 ms |
35152 KB |
Output is correct |
104 |
Correct |
251 ms |
40020 KB |
Output is correct |