// Success consists of going from failure to failure without loss of enthusiasm
#include <bits/stdc++.h>
using namespace std;
#define nl '\n'
#define sz(x) int(x.size())
using ll = long long;
int main() {
cin.tie(0)->sync_with_stdio(0);
int N, M; cin >> N >> M;
vector<int> ID(N);
vector<set<int>> G(N), F(N), FG(N), GF(N);
ll ans = 0;
int cur = 0;
vector<array<int, 2>> MERGE;
auto merge = [&](int u, int v) {
int gu = ID[u], gv = ID[v];
if (gu == gv) return;
// cout << "MERGING: " << gu << " " << gv << nl;
// cout << "BEF: " << nl;
// cout << "GU: ";
// for(auto x : G[gu]) cout << x << " ";
// cout << nl;
// cout << "FU: ";
// for(auto x : F[gu]) cout << x << " ";
// cout << nl;
// cout << "FGU: ";
// for(auto x : FG[gu]) cout << x << " ";
// cout << nl;
// cout << "GF: ";
// for(auto x : GF[gu]) cout << x << " ";
// cout << nl;
// cout << "GV: ";
// for(auto x : G[gv]) cout << x << " ";
// cout << nl;
// cout << "FV: ";
// for(auto x : F[gv]) cout << x << " ";
// cout << nl;
// cout << "FGV: ";
// for(auto x : FG[gv]) cout << x << " ";
// cout << nl;
// cout << "GF: ";
// for(auto x : GF[gv]) cout << x << " ";
// cout << nl;
ans -= (sz(F[gu]) - 1) * 1LL * sz(G[gu]);
ans -= (sz(F[gv]) - 1) * 1LL * sz(G[gv]);
// CHECK FOR OTHER MERGES;
set<int> add;
if (sz(G[gu]) < sz(G[gv])) swap(gu, gv);
for(const auto &x : G[gv]) {
ID[x] = gu;
G[gu].insert(x);
}
if (sz(F[gu]) < sz(F[gv])) F[gu].swap(F[gv]);
for(const auto &x : F[gv]) F[gu].insert(x);
// if (sz(FG[gu]) < sz(FG[gv])) FG[gu].swap(FG[gv]);
for(const auto &x : GF[gv]) {
// cout << "SAW: " << x << nl;
if (GF[x].count(gu)) add.insert(x);
if (GF[x].count(gv)) add.insert(x);
GF[gu].insert(x); FG[x].insert(gu);
}
for(const auto &x : FG[gv]) {
// cout << "SAW: " << x << nl;
if (FG[x].count(gu)) add.insert(x);
if (FG[x].count(gv)) add.insert(x);
FG[gu].insert(x); GF[x].insert(gu);
}
int gx = ID[u];
ans += (sz(F[gx]) - 1) * 1LL * sz(G[gx]);
// cout << "AFT: " << gx << nl;
// cout << "G: ";
// for(auto x : G[gx]) cout << x << " ";
// cout << nl;
// cout << "F: ";
// for(auto x : F[gx]) cout << x << " ";
// cout << nl;
// cout << "FG: ";
// for(auto x : FG[gx]) cout << x << " ";
// cout << nl;
// cout << "GF: ";
// for(auto x : GF[gx]) cout << x << " ";
// cout << nl;
for(const auto &x : add) {
if (x == gu || x == gv) continue;
// cout << "ADDED: " << ID[x] << nl;
MERGE.push_back({x, gx});
}
};
for(int i = 0; i < N; i++) {
ID[i] = i;
G[i] = F[i] = {i};
}
for(int i = 0; i < M; i++) {
int u, v; cin >> u >> v; --u, --v; // u follows v
int gu = ID[u], gv = ID[v];
if (gu == gv) cout << ans << nl; // Already same group
else if (F[gv].count(u)) cout << ans << nl; // Already fan of group
else if (FG[gv].count(gu)) { // Merge groups + fans
MERGE.push_back({gv, gu});
while(cur < sz(MERGE)) {
merge(MERGE[cur][0], MERGE[cur][1]); cur++;
}
cout << ans << nl;
} else {
F[gv].insert(u);
FG[gu].insert(gv);
GF[gv].insert(gu);
ans += sz(G[gv]);
cout << ans << nl;
}
}
return 0;
}
# |
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 |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
316 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
336 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
320 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
316 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
320 KB |
Output is correct |
19 |
Correct |
1 ms |
316 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
2 ms |
328 KB |
Output is correct |
22 |
Correct |
1 ms |
316 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
2 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
316 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
328 KB |
Output is correct |
32 |
Correct |
1 ms |
320 KB |
Output is correct |
33 |
Correct |
2 ms |
328 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 |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
316 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
336 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
320 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
316 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
320 KB |
Output is correct |
19 |
Correct |
1 ms |
316 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
2 ms |
328 KB |
Output is correct |
22 |
Correct |
1 ms |
316 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
2 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
316 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
328 KB |
Output is correct |
32 |
Correct |
1 ms |
320 KB |
Output is correct |
33 |
Correct |
2 ms |
328 KB |
Output is correct |
34 |
Correct |
3 ms |
468 KB |
Output is correct |
35 |
Correct |
80 ms |
6876 KB |
Output is correct |
36 |
Correct |
124 ms |
10168 KB |
Output is correct |
37 |
Correct |
114 ms |
10316 KB |
Output is correct |
38 |
Correct |
123 ms |
9908 KB |
Output is correct |
39 |
Correct |
4 ms |
1356 KB |
Output is correct |
40 |
Correct |
15 ms |
3284 KB |
Output is correct |
41 |
Correct |
10 ms |
3028 KB |
Output is correct |
42 |
Correct |
4 ms |
1360 KB |
Output is correct |
43 |
Correct |
4 ms |
1364 KB |
Output is correct |
44 |
Correct |
4 ms |
1364 KB |
Output is correct |
45 |
Correct |
4 ms |
1360 KB |
Output is correct |
46 |
Correct |
4 ms |
1360 KB |
Output is correct |
47 |
Correct |
8 ms |
2320 KB |
Output is correct |
48 |
Correct |
8 ms |
2252 KB |
Output is correct |
49 |
Correct |
17 ms |
3020 KB |
Output is correct |
50 |
Correct |
141 ms |
10428 KB |
Output is correct |
51 |
Correct |
8 ms |
1848 KB |
Output is correct |
52 |
Correct |
87 ms |
8448 KB |
Output is correct |
53 |
Correct |
18 ms |
2900 KB |
Output is correct |
54 |
Correct |
111 ms |
9412 KB |
Output is correct |
55 |
Correct |
9 ms |
2132 KB |
Output is correct |
56 |
Correct |
8 ms |
2004 KB |
Output is correct |
57 |
Correct |
8 ms |
2116 KB |
Output is correct |
58 |
Correct |
8 ms |
2068 KB |
Output is correct |
59 |
Correct |
11 ms |
3532 KB |
Output is correct |
60 |
Correct |
81 ms |
8548 KB |
Output is correct |
61 |
Correct |
8 ms |
2132 KB |
Output is correct |
62 |
Correct |
108 ms |
9668 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 |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
0 ms |
316 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
1 ms |
336 KB |
Output is correct |
9 |
Correct |
1 ms |
332 KB |
Output is correct |
10 |
Correct |
1 ms |
340 KB |
Output is correct |
11 |
Correct |
1 ms |
340 KB |
Output is correct |
12 |
Correct |
1 ms |
320 KB |
Output is correct |
13 |
Correct |
1 ms |
340 KB |
Output is correct |
14 |
Correct |
1 ms |
340 KB |
Output is correct |
15 |
Correct |
1 ms |
316 KB |
Output is correct |
16 |
Correct |
1 ms |
340 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
1 ms |
320 KB |
Output is correct |
19 |
Correct |
1 ms |
316 KB |
Output is correct |
20 |
Correct |
1 ms |
340 KB |
Output is correct |
21 |
Correct |
2 ms |
328 KB |
Output is correct |
22 |
Correct |
1 ms |
316 KB |
Output is correct |
23 |
Correct |
1 ms |
340 KB |
Output is correct |
24 |
Correct |
1 ms |
340 KB |
Output is correct |
25 |
Correct |
2 ms |
340 KB |
Output is correct |
26 |
Correct |
1 ms |
316 KB |
Output is correct |
27 |
Correct |
1 ms |
340 KB |
Output is correct |
28 |
Correct |
1 ms |
340 KB |
Output is correct |
29 |
Correct |
1 ms |
340 KB |
Output is correct |
30 |
Correct |
1 ms |
340 KB |
Output is correct |
31 |
Correct |
1 ms |
328 KB |
Output is correct |
32 |
Correct |
1 ms |
320 KB |
Output is correct |
33 |
Correct |
2 ms |
328 KB |
Output is correct |
34 |
Correct |
3 ms |
468 KB |
Output is correct |
35 |
Correct |
80 ms |
6876 KB |
Output is correct |
36 |
Correct |
124 ms |
10168 KB |
Output is correct |
37 |
Correct |
114 ms |
10316 KB |
Output is correct |
38 |
Correct |
123 ms |
9908 KB |
Output is correct |
39 |
Correct |
4 ms |
1356 KB |
Output is correct |
40 |
Correct |
15 ms |
3284 KB |
Output is correct |
41 |
Correct |
10 ms |
3028 KB |
Output is correct |
42 |
Correct |
4 ms |
1360 KB |
Output is correct |
43 |
Correct |
4 ms |
1364 KB |
Output is correct |
44 |
Correct |
4 ms |
1364 KB |
Output is correct |
45 |
Correct |
4 ms |
1360 KB |
Output is correct |
46 |
Correct |
4 ms |
1360 KB |
Output is correct |
47 |
Correct |
8 ms |
2320 KB |
Output is correct |
48 |
Correct |
8 ms |
2252 KB |
Output is correct |
49 |
Correct |
17 ms |
3020 KB |
Output is correct |
50 |
Correct |
141 ms |
10428 KB |
Output is correct |
51 |
Correct |
8 ms |
1848 KB |
Output is correct |
52 |
Correct |
87 ms |
8448 KB |
Output is correct |
53 |
Correct |
18 ms |
2900 KB |
Output is correct |
54 |
Correct |
111 ms |
9412 KB |
Output is correct |
55 |
Correct |
9 ms |
2132 KB |
Output is correct |
56 |
Correct |
8 ms |
2004 KB |
Output is correct |
57 |
Correct |
8 ms |
2116 KB |
Output is correct |
58 |
Correct |
8 ms |
2068 KB |
Output is correct |
59 |
Correct |
11 ms |
3532 KB |
Output is correct |
60 |
Correct |
81 ms |
8548 KB |
Output is correct |
61 |
Correct |
8 ms |
2132 KB |
Output is correct |
62 |
Correct |
108 ms |
9668 KB |
Output is correct |
63 |
Correct |
521 ms |
76528 KB |
Output is correct |
64 |
Correct |
546 ms |
76628 KB |
Output is correct |
65 |
Correct |
510 ms |
76532 KB |
Output is correct |
66 |
Correct |
367 ms |
57652 KB |
Output is correct |
67 |
Correct |
1568 ms |
190776 KB |
Output is correct |
68 |
Correct |
322 ms |
57504 KB |
Output is correct |
69 |
Correct |
549 ms |
55340 KB |
Output is correct |
70 |
Correct |
385 ms |
57496 KB |
Output is correct |
71 |
Correct |
406 ms |
57596 KB |
Output is correct |
72 |
Correct |
1081 ms |
104872 KB |
Output is correct |
73 |
Correct |
1188 ms |
112856 KB |
Output is correct |
74 |
Correct |
2310 ms |
154260 KB |
Output is correct |
75 |
Correct |
781 ms |
67524 KB |
Output is correct |
76 |
Correct |
1390 ms |
105172 KB |
Output is correct |
77 |
Correct |
1388 ms |
105556 KB |
Output is correct |
78 |
Correct |
360 ms |
63436 KB |
Output is correct |
79 |
Correct |
623 ms |
74996 KB |
Output is correct |
80 |
Correct |
380 ms |
59692 KB |
Output is correct |
81 |
Correct |
581 ms |
67716 KB |
Output is correct |
82 |
Correct |
1203 ms |
91104 KB |
Output is correct |
83 |
Correct |
1300 ms |
91184 KB |
Output is correct |
84 |
Correct |
999 ms |
91092 KB |
Output is correct |
85 |
Correct |
993 ms |
91192 KB |
Output is correct |
86 |
Correct |
1386 ms |
230444 KB |
Output is correct |
87 |
Correct |
1441 ms |
232764 KB |
Output is correct |
88 |
Correct |
1144 ms |
109172 KB |
Output is correct |
89 |
Correct |
1373 ms |
102752 KB |
Output is correct |