#include <bits/stdc++.h>
using namespace std;
#define int ll
#define endl '\n' //comment for interactive
#define fast_io ios::sync_with_stdio(0); cin.tie(0); cout.tie(0)
#define pb push_back
#define re resize
#define ff first
#define ss second
#define all(x) (x).begin(), (x).end()
#define all1(x) (x).begin()+1, (x).end()
#define loop(i, n) for(int i = 0; i < n; i++)
#define loop1(i, n) for(int i = 1; i <= n; i++)
#define print(x) cout << #x << ": " << x << endl << flush
typedef long long ll;
typedef vector<int> vi;
typedef vector<bool> vb;
typedef array<int, 2> ii;
typedef array<int, 3> ti;
typedef vector<ii> vii;
typedef vector<ti> vti;
typedef vector<vi> vvi;
typedef priority_queue<int> pq;
template<class T> bool ckmin(T&a, T b) { bool B = a > b; a = min(a, b); return B; }
template<class T> bool ckmax(T&a, T b) { bool B = a < b; a = max(a, b); return B; }
const int inf = 1e17;
struct ufds {
vi par;
vector<set<int>> st;
ufds(vi a) : par(a), st(par.size()) {
for(int i = 0; i < par.size(); i++) {
par[i] = -par[i];
st[i].insert(i);
}
};
int find(int u) {
if(par[u] < 0) return u;
return par[u] = find(par[u]);
}
int size(int u) {
return -par[find(u)];
}
bool merge(int u, int v) {
u = find(u);
v = find(v);
if(u == v) return false;
if(st[u].size() < st[v].size()) swap(u, v);
for(auto x : st[v])
st[u].insert(x);
par[u] += par[v];
par[v] = u;
return true;
}
set<int>& setof(int u) {
return st[find(u)];
}
};
void solve() {
int n, m;
cin >> n >> m;
vi s(n+1);
vii ss(n+1);
vi adj[n+1];
loop1(i, n)
cin >> s[i];
loop1(i, n)
ss[i] = {s[i], i};
sort(all1(ss));
loop1(i, m) {
int u, v;
cin >> u >> v;
adj[u].pb(v);
adj[v].pb(u);
}
vb incl(n+1);
ufds ufds(s);
vb valid(n+1, true);
loop1(i, n) {
auto [su, u] = ss[i];
incl[u] = true;
for(auto v : adj[u]) if(incl[v]) {
if(ufds.find(u) != ufds.find(v)) {
if(ufds.size(v) < ufds.size(u)) {
set<int>& st = ufds.setof(v);
for(auto x : st) valid[x] = false;
st.clear();
}
}
}
for(auto v : adj[u]) if(incl[v])
ufds.merge(u, v);
}
loop1(i, n) cout << valid[i];
cout << endl;
}
signed main() {
fast_io;
int t = 1; //cin >> t;
while(t--)
solve();
return 0;
}
Compilation message
island.cpp: In constructor 'ufds::ufds(vi)':
island.cpp:40:26: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
40 | for(int i = 0; i < par.size(); i++) {
| ~~^~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
2 ms |
596 KB |
Output is correct |
5 |
Correct |
2 ms |
724 KB |
Output is correct |
6 |
Correct |
2 ms |
724 KB |
Output is correct |
7 |
Correct |
2 ms |
596 KB |
Output is correct |
8 |
Correct |
2 ms |
596 KB |
Output is correct |
9 |
Correct |
2 ms |
724 KB |
Output is correct |
10 |
Correct |
2 ms |
724 KB |
Output is correct |
11 |
Correct |
2 ms |
724 KB |
Output is correct |
12 |
Correct |
2 ms |
724 KB |
Output is correct |
13 |
Correct |
1 ms |
724 KB |
Output is correct |
14 |
Correct |
2 ms |
724 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
199 ms |
43372 KB |
Output is correct |
4 |
Correct |
209 ms |
50112 KB |
Output is correct |
5 |
Correct |
286 ms |
56264 KB |
Output is correct |
6 |
Correct |
289 ms |
59544 KB |
Output is correct |
7 |
Correct |
297 ms |
58824 KB |
Output is correct |
8 |
Correct |
203 ms |
51376 KB |
Output is correct |
9 |
Correct |
231 ms |
68500 KB |
Output is correct |
10 |
Correct |
166 ms |
43100 KB |
Output is correct |
11 |
Correct |
214 ms |
50992 KB |
Output is correct |
12 |
Correct |
237 ms |
48176 KB |
Output is correct |
13 |
Correct |
188 ms |
48940 KB |
Output is correct |
14 |
Correct |
189 ms |
49064 KB |
Output is correct |
15 |
Correct |
219 ms |
50452 KB |
Output is correct |
16 |
Correct |
151 ms |
49472 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
338 ms |
60648 KB |
Output is correct |
3 |
Correct |
337 ms |
65092 KB |
Output is correct |
4 |
Correct |
213 ms |
50408 KB |
Output is correct |
5 |
Correct |
182 ms |
48816 KB |
Output is correct |
6 |
Correct |
321 ms |
64580 KB |
Output is correct |
7 |
Correct |
279 ms |
50352 KB |
Output is correct |
8 |
Correct |
215 ms |
50376 KB |
Output is correct |
9 |
Correct |
142 ms |
49216 KB |
Output is correct |
10 |
Correct |
183 ms |
41648 KB |
Output is correct |
11 |
Correct |
210 ms |
47420 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
311 ms |
47660 KB |
Output is correct |
3 |
Correct |
351 ms |
55116 KB |
Output is correct |
4 |
Correct |
360 ms |
63304 KB |
Output is correct |
5 |
Correct |
464 ms |
76708 KB |
Output is correct |
6 |
Correct |
338 ms |
61788 KB |
Output is correct |
7 |
Correct |
195 ms |
52092 KB |
Output is correct |
8 |
Correct |
143 ms |
46128 KB |
Output is correct |
9 |
Correct |
176 ms |
26568 KB |
Output is correct |
10 |
Correct |
431 ms |
80932 KB |
Output is correct |
11 |
Correct |
206 ms |
47492 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
1 ms |
212 KB |
Output is correct |
3 |
Correct |
0 ms |
212 KB |
Output is correct |
4 |
Correct |
2 ms |
596 KB |
Output is correct |
5 |
Correct |
2 ms |
724 KB |
Output is correct |
6 |
Correct |
2 ms |
724 KB |
Output is correct |
7 |
Correct |
2 ms |
596 KB |
Output is correct |
8 |
Correct |
2 ms |
596 KB |
Output is correct |
9 |
Correct |
2 ms |
724 KB |
Output is correct |
10 |
Correct |
2 ms |
724 KB |
Output is correct |
11 |
Correct |
2 ms |
724 KB |
Output is correct |
12 |
Correct |
2 ms |
724 KB |
Output is correct |
13 |
Correct |
1 ms |
724 KB |
Output is correct |
14 |
Correct |
2 ms |
724 KB |
Output is correct |
15 |
Correct |
0 ms |
212 KB |
Output is correct |
16 |
Correct |
1 ms |
212 KB |
Output is correct |
17 |
Correct |
199 ms |
43372 KB |
Output is correct |
18 |
Correct |
209 ms |
50112 KB |
Output is correct |
19 |
Correct |
286 ms |
56264 KB |
Output is correct |
20 |
Correct |
289 ms |
59544 KB |
Output is correct |
21 |
Correct |
297 ms |
58824 KB |
Output is correct |
22 |
Correct |
203 ms |
51376 KB |
Output is correct |
23 |
Correct |
231 ms |
68500 KB |
Output is correct |
24 |
Correct |
166 ms |
43100 KB |
Output is correct |
25 |
Correct |
214 ms |
50992 KB |
Output is correct |
26 |
Correct |
237 ms |
48176 KB |
Output is correct |
27 |
Correct |
188 ms |
48940 KB |
Output is correct |
28 |
Correct |
189 ms |
49064 KB |
Output is correct |
29 |
Correct |
219 ms |
50452 KB |
Output is correct |
30 |
Correct |
151 ms |
49472 KB |
Output is correct |
31 |
Correct |
0 ms |
212 KB |
Output is correct |
32 |
Correct |
338 ms |
60648 KB |
Output is correct |
33 |
Correct |
337 ms |
65092 KB |
Output is correct |
34 |
Correct |
213 ms |
50408 KB |
Output is correct |
35 |
Correct |
182 ms |
48816 KB |
Output is correct |
36 |
Correct |
321 ms |
64580 KB |
Output is correct |
37 |
Correct |
279 ms |
50352 KB |
Output is correct |
38 |
Correct |
215 ms |
50376 KB |
Output is correct |
39 |
Correct |
142 ms |
49216 KB |
Output is correct |
40 |
Correct |
183 ms |
41648 KB |
Output is correct |
41 |
Correct |
210 ms |
47420 KB |
Output is correct |
42 |
Correct |
0 ms |
212 KB |
Output is correct |
43 |
Correct |
311 ms |
47660 KB |
Output is correct |
44 |
Correct |
351 ms |
55116 KB |
Output is correct |
45 |
Correct |
360 ms |
63304 KB |
Output is correct |
46 |
Correct |
464 ms |
76708 KB |
Output is correct |
47 |
Correct |
338 ms |
61788 KB |
Output is correct |
48 |
Correct |
195 ms |
52092 KB |
Output is correct |
49 |
Correct |
143 ms |
46128 KB |
Output is correct |
50 |
Correct |
176 ms |
26568 KB |
Output is correct |
51 |
Correct |
431 ms |
80932 KB |
Output is correct |
52 |
Correct |
206 ms |
47492 KB |
Output is correct |
53 |
Correct |
0 ms |
324 KB |
Output is correct |
54 |
Correct |
0 ms |
212 KB |
Output is correct |
55 |
Correct |
1 ms |
320 KB |
Output is correct |
56 |
Correct |
2 ms |
596 KB |
Output is correct |
57 |
Correct |
3 ms |
724 KB |
Output is correct |
58 |
Correct |
2 ms |
724 KB |
Output is correct |
59 |
Correct |
2 ms |
592 KB |
Output is correct |
60 |
Correct |
2 ms |
596 KB |
Output is correct |
61 |
Correct |
2 ms |
724 KB |
Output is correct |
62 |
Correct |
2 ms |
848 KB |
Output is correct |
63 |
Correct |
2 ms |
724 KB |
Output is correct |
64 |
Correct |
2 ms |
852 KB |
Output is correct |
65 |
Correct |
2 ms |
724 KB |
Output is correct |
66 |
Correct |
3 ms |
716 KB |
Output is correct |
67 |
Correct |
178 ms |
47816 KB |
Output is correct |
68 |
Correct |
204 ms |
50052 KB |
Output is correct |
69 |
Correct |
299 ms |
56276 KB |
Output is correct |
70 |
Correct |
307 ms |
59464 KB |
Output is correct |
71 |
Correct |
274 ms |
58816 KB |
Output is correct |
72 |
Correct |
250 ms |
51368 KB |
Output is correct |
73 |
Correct |
262 ms |
68460 KB |
Output is correct |
74 |
Correct |
156 ms |
42956 KB |
Output is correct |
75 |
Correct |
200 ms |
50944 KB |
Output is correct |
76 |
Correct |
238 ms |
48144 KB |
Output is correct |
77 |
Correct |
193 ms |
48856 KB |
Output is correct |
78 |
Correct |
182 ms |
48944 KB |
Output is correct |
79 |
Correct |
205 ms |
50384 KB |
Output is correct |
80 |
Correct |
144 ms |
49124 KB |
Output is correct |
81 |
Correct |
342 ms |
64988 KB |
Output is correct |
82 |
Correct |
365 ms |
65108 KB |
Output is correct |
83 |
Correct |
244 ms |
50372 KB |
Output is correct |
84 |
Correct |
207 ms |
48776 KB |
Output is correct |
85 |
Correct |
351 ms |
64524 KB |
Output is correct |
86 |
Correct |
236 ms |
50368 KB |
Output is correct |
87 |
Correct |
221 ms |
50464 KB |
Output is correct |
88 |
Correct |
189 ms |
41704 KB |
Output is correct |
89 |
Correct |
201 ms |
47396 KB |
Output is correct |
90 |
Correct |
338 ms |
52132 KB |
Output is correct |
91 |
Correct |
321 ms |
55224 KB |
Output is correct |
92 |
Correct |
371 ms |
63280 KB |
Output is correct |
93 |
Correct |
425 ms |
76716 KB |
Output is correct |
94 |
Correct |
356 ms |
61780 KB |
Output is correct |
95 |
Correct |
191 ms |
51900 KB |
Output is correct |
96 |
Correct |
147 ms |
46128 KB |
Output is correct |
97 |
Correct |
186 ms |
26624 KB |
Output is correct |
98 |
Correct |
389 ms |
80928 KB |
Output is correct |
99 |
Correct |
195 ms |
47476 KB |
Output is correct |
100 |
Correct |
44 ms |
7056 KB |
Output is correct |
101 |
Correct |
385 ms |
56340 KB |
Output is correct |
102 |
Correct |
254 ms |
47456 KB |
Output is correct |
103 |
Correct |
283 ms |
40368 KB |
Output is correct |
104 |
Correct |
303 ms |
48408 KB |
Output is correct |