#include <bits/stdc++.h>
using namespace std;
#define int long long
#define FOR(i,s,e) for(int i = s; i <= (int)e; ++i)
#define DEC(i,s,e) for(int i = s; i >= (int)e; --i)
#define IAMSPEED ios_base::sync_with_stdio(false); cin.tie(0);
#ifdef LOCAL
#define db(x) cerr << #x << "=" << x << "\n"
#define db2(x, y) cerr << #x << "=" << x << " , " << #y << "=" << y << "\n"
#define db3(a,b,c) cerr<<#a<<"="<<a<<","<<#b<<"="<<b<<","<<#c<<"="<<c<<"\n"
#define dbv(v) cerr << #v << ":"; for (auto ite : v) cerr << ite << ' '; cerr <<"\n"
#define dbvp(v) cerr << #v << ":"; for (auto ite : v) cerr << "{" << ite.f << ',' << ite.s << "} "; cerr << "\n"
#define dba(a,ss,ee) cerr << #a << ":"; FOR(ite,ss,ee) cerr << a[ite] << ' '; cerr << "\n"
#define reach cerr << "LINE: " << __LINE__ << "\n";
#else
#define reach
#define db(x)
#define db2(x,y)
#define db3(a,b,c)
#define dbv(v)
#define dbvp(v)
#define dba(a,ss,ee)
#endif
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define pb push_back
#define eb emplace_back
#define all(x) (x).begin(), (x).end()
#define f first
#define s second
#define g0(x) get<0>(x)
#define g1(x) get<1>(x)
#define g2(x) get<2>(x)
#define g3(x) get<3>(x)
typedef pair <int, int> pi;
typedef tuple<int,int,int> ti3;
typedef tuple<int,int,int,int> ti4;
int rand(int a, int b) { return a + rng() % (b-a+1); }
const int MOD = 1e9 + 7;
const int inf = (int)1e9 + 500;
const long long oo = (long long)1e18 + 500;
template <typename T> void chmax(T& a, const T b) { a=max(a,b); }
template <typename T> void chmin(T& a, const T b) { a=min(a,b); }
const int MAXN = 100005;
int n,m;
int ans;
struct ufds_ {
int p[MAXN], sz[MAXN];
unordered_set<int> innodes[MAXN];
unordered_set<int> in[MAXN], out[MAXN];
ufds_() {
iota(p,p+MAXN,0);
fill(sz,sz+MAXN,1);
FOR(i,0,MAXN-1) {
innodes[i].insert(i);
}
}
int find(int x) {
if(x==p[x])return x;
else return p[x]=find(p[x]);
}
} ufds;
int pairs(int sz) {
return sz*(sz-1);
}
int32_t main()
{
IAMSPEED
cin >> n >> m;
FOR(idx,1,m) {
int a,b; cin >> a >> b;
// insert a->b
int ga=ufds.find(a);
int gb=ufds.find(b);
if(ga==gb){
cout<<ans<<'\n';
continue;
}
if(ufds.in[ga].find(gb) != ufds.in[ga].end()) {
queue<pi> q;
q.push({ga,gb}); // merge ga, gb;
while(q.size()) {
pi cur=q.front(); q.pop();
if(ufds.find(cur.f) == ufds.find(cur.s))continue;
int x= ufds.find(cur.f), y=ufds.find(cur.s);
ans-=pairs(ufds.sz[x]);
ans-=ufds.sz[x] * (ufds.innodes[x].size() - ufds.sz[x]);
ans-=pairs(ufds.sz[y]);
ans-=ufds.sz[y] * (ufds.innodes[y].size() - ufds.sz[y]);
if(ufds.innodes[x].size() < ufds.innodes[y].size())swap(x,y);
// innodes[x].size() >= innodes[y].size()
for(auto i:ufds.innodes[y])ufds.innodes[x].insert(i);
ufds.sz[x]+=ufds.sz[y];
ufds.p[y] = x;
ans += pairs(ufds.sz[x]);
ans += ufds.sz[x] * (ufds.innodes[x].size() - ufds.sz[x]);
for(auto i:ufds.out[y]) { // these things need to be updated from y to x.
ufds.in[i].erase(y);
ufds.in[i].insert(x);
ufds.out[x].insert(i);
if(ufds.in[x].find(i) != ufds.in[x].end()) {
q.push({x,i});
}
}
for(auto i:ufds.in[y]){
ufds.in[x].insert(i);
ufds.out[i].erase(y);
ufds.out[i].insert(x);
if(ufds.in[i].find(x) != ufds.in[i].end()) {
q.push({x,i});
}
}
}
} else {
if(ufds.innodes[gb].find(a) == ufds.innodes[gb].end()) {
ufds.in[gb].insert(ga);
ufds.innodes[gb].insert(a);
ufds.out[ga].insert(gb);
ans+=ufds.sz[gb];
}
}
cout << ans << '\n';
}
return (0-0) ;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
28 ms |
32440 KB |
Output is correct |
2 |
Correct |
30 ms |
32404 KB |
Output is correct |
3 |
Correct |
38 ms |
32360 KB |
Output is correct |
4 |
Correct |
32 ms |
32308 KB |
Output is correct |
5 |
Correct |
26 ms |
32328 KB |
Output is correct |
6 |
Correct |
35 ms |
32292 KB |
Output is correct |
7 |
Correct |
33 ms |
32468 KB |
Output is correct |
8 |
Correct |
37 ms |
32424 KB |
Output is correct |
9 |
Correct |
25 ms |
32468 KB |
Output is correct |
10 |
Correct |
27 ms |
32328 KB |
Output is correct |
11 |
Correct |
33 ms |
32416 KB |
Output is correct |
12 |
Correct |
26 ms |
32312 KB |
Output is correct |
13 |
Correct |
26 ms |
32356 KB |
Output is correct |
14 |
Correct |
35 ms |
32332 KB |
Output is correct |
15 |
Correct |
25 ms |
32400 KB |
Output is correct |
16 |
Correct |
30 ms |
32456 KB |
Output is correct |
17 |
Correct |
25 ms |
32412 KB |
Output is correct |
18 |
Correct |
24 ms |
32340 KB |
Output is correct |
19 |
Correct |
30 ms |
32320 KB |
Output is correct |
20 |
Correct |
26 ms |
32424 KB |
Output is correct |
21 |
Correct |
31 ms |
32376 KB |
Output is correct |
22 |
Correct |
29 ms |
32464 KB |
Output is correct |
23 |
Correct |
24 ms |
32468 KB |
Output is correct |
24 |
Correct |
30 ms |
32468 KB |
Output is correct |
25 |
Correct |
25 ms |
32468 KB |
Output is correct |
26 |
Correct |
28 ms |
32536 KB |
Output is correct |
27 |
Correct |
34 ms |
32440 KB |
Output is correct |
28 |
Correct |
36 ms |
32428 KB |
Output is correct |
29 |
Correct |
31 ms |
32400 KB |
Output is correct |
30 |
Correct |
37 ms |
32492 KB |
Output is correct |
31 |
Correct |
37 ms |
32448 KB |
Output is correct |
32 |
Correct |
29 ms |
32408 KB |
Output is correct |
33 |
Correct |
35 ms |
32408 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
28 ms |
32440 KB |
Output is correct |
2 |
Correct |
30 ms |
32404 KB |
Output is correct |
3 |
Correct |
38 ms |
32360 KB |
Output is correct |
4 |
Correct |
32 ms |
32308 KB |
Output is correct |
5 |
Correct |
26 ms |
32328 KB |
Output is correct |
6 |
Correct |
35 ms |
32292 KB |
Output is correct |
7 |
Correct |
33 ms |
32468 KB |
Output is correct |
8 |
Correct |
37 ms |
32424 KB |
Output is correct |
9 |
Correct |
25 ms |
32468 KB |
Output is correct |
10 |
Correct |
27 ms |
32328 KB |
Output is correct |
11 |
Correct |
33 ms |
32416 KB |
Output is correct |
12 |
Correct |
26 ms |
32312 KB |
Output is correct |
13 |
Correct |
26 ms |
32356 KB |
Output is correct |
14 |
Correct |
35 ms |
32332 KB |
Output is correct |
15 |
Correct |
25 ms |
32400 KB |
Output is correct |
16 |
Correct |
30 ms |
32456 KB |
Output is correct |
17 |
Correct |
25 ms |
32412 KB |
Output is correct |
18 |
Correct |
24 ms |
32340 KB |
Output is correct |
19 |
Correct |
30 ms |
32320 KB |
Output is correct |
20 |
Correct |
26 ms |
32424 KB |
Output is correct |
21 |
Correct |
31 ms |
32376 KB |
Output is correct |
22 |
Correct |
29 ms |
32464 KB |
Output is correct |
23 |
Correct |
24 ms |
32468 KB |
Output is correct |
24 |
Correct |
30 ms |
32468 KB |
Output is correct |
25 |
Correct |
25 ms |
32468 KB |
Output is correct |
26 |
Correct |
28 ms |
32536 KB |
Output is correct |
27 |
Correct |
34 ms |
32440 KB |
Output is correct |
28 |
Correct |
36 ms |
32428 KB |
Output is correct |
29 |
Correct |
31 ms |
32400 KB |
Output is correct |
30 |
Correct |
37 ms |
32492 KB |
Output is correct |
31 |
Correct |
37 ms |
32448 KB |
Output is correct |
32 |
Correct |
29 ms |
32408 KB |
Output is correct |
33 |
Correct |
35 ms |
32408 KB |
Output is correct |
34 |
Correct |
37 ms |
32480 KB |
Output is correct |
35 |
Correct |
138 ms |
38088 KB |
Output is correct |
36 |
Correct |
131 ms |
40796 KB |
Output is correct |
37 |
Correct |
163 ms |
40780 KB |
Output is correct |
38 |
Correct |
134 ms |
40392 KB |
Output is correct |
39 |
Correct |
50 ms |
32836 KB |
Output is correct |
40 |
Correct |
29 ms |
33264 KB |
Output is correct |
41 |
Correct |
39 ms |
33332 KB |
Output is correct |
42 |
Correct |
29 ms |
32884 KB |
Output is correct |
43 |
Correct |
36 ms |
32880 KB |
Output is correct |
44 |
Correct |
38 ms |
32772 KB |
Output is correct |
45 |
Correct |
45 ms |
32844 KB |
Output is correct |
46 |
Correct |
33 ms |
32876 KB |
Output is correct |
47 |
Correct |
28 ms |
33100 KB |
Output is correct |
48 |
Correct |
41 ms |
33096 KB |
Output is correct |
49 |
Correct |
32 ms |
33712 KB |
Output is correct |
50 |
Correct |
153 ms |
40936 KB |
Output is correct |
51 |
Correct |
41 ms |
33364 KB |
Output is correct |
52 |
Correct |
121 ms |
39332 KB |
Output is correct |
53 |
Correct |
43 ms |
33720 KB |
Output is correct |
54 |
Correct |
145 ms |
40076 KB |
Output is correct |
55 |
Correct |
52 ms |
33316 KB |
Output is correct |
56 |
Correct |
31 ms |
33320 KB |
Output is correct |
57 |
Correct |
29 ms |
33376 KB |
Output is correct |
58 |
Correct |
34 ms |
33392 KB |
Output is correct |
59 |
Correct |
33 ms |
33316 KB |
Output is correct |
60 |
Correct |
163 ms |
38240 KB |
Output is correct |
61 |
Correct |
41 ms |
33180 KB |
Output is correct |
62 |
Correct |
126 ms |
40312 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
28 ms |
32440 KB |
Output is correct |
2 |
Correct |
30 ms |
32404 KB |
Output is correct |
3 |
Correct |
38 ms |
32360 KB |
Output is correct |
4 |
Correct |
32 ms |
32308 KB |
Output is correct |
5 |
Correct |
26 ms |
32328 KB |
Output is correct |
6 |
Correct |
35 ms |
32292 KB |
Output is correct |
7 |
Correct |
33 ms |
32468 KB |
Output is correct |
8 |
Correct |
37 ms |
32424 KB |
Output is correct |
9 |
Correct |
25 ms |
32468 KB |
Output is correct |
10 |
Correct |
27 ms |
32328 KB |
Output is correct |
11 |
Correct |
33 ms |
32416 KB |
Output is correct |
12 |
Correct |
26 ms |
32312 KB |
Output is correct |
13 |
Correct |
26 ms |
32356 KB |
Output is correct |
14 |
Correct |
35 ms |
32332 KB |
Output is correct |
15 |
Correct |
25 ms |
32400 KB |
Output is correct |
16 |
Correct |
30 ms |
32456 KB |
Output is correct |
17 |
Correct |
25 ms |
32412 KB |
Output is correct |
18 |
Correct |
24 ms |
32340 KB |
Output is correct |
19 |
Correct |
30 ms |
32320 KB |
Output is correct |
20 |
Correct |
26 ms |
32424 KB |
Output is correct |
21 |
Correct |
31 ms |
32376 KB |
Output is correct |
22 |
Correct |
29 ms |
32464 KB |
Output is correct |
23 |
Correct |
24 ms |
32468 KB |
Output is correct |
24 |
Correct |
30 ms |
32468 KB |
Output is correct |
25 |
Correct |
25 ms |
32468 KB |
Output is correct |
26 |
Correct |
28 ms |
32536 KB |
Output is correct |
27 |
Correct |
34 ms |
32440 KB |
Output is correct |
28 |
Correct |
36 ms |
32428 KB |
Output is correct |
29 |
Correct |
31 ms |
32400 KB |
Output is correct |
30 |
Correct |
37 ms |
32492 KB |
Output is correct |
31 |
Correct |
37 ms |
32448 KB |
Output is correct |
32 |
Correct |
29 ms |
32408 KB |
Output is correct |
33 |
Correct |
35 ms |
32408 KB |
Output is correct |
34 |
Correct |
37 ms |
32480 KB |
Output is correct |
35 |
Correct |
138 ms |
38088 KB |
Output is correct |
36 |
Correct |
131 ms |
40796 KB |
Output is correct |
37 |
Correct |
163 ms |
40780 KB |
Output is correct |
38 |
Correct |
134 ms |
40392 KB |
Output is correct |
39 |
Correct |
50 ms |
32836 KB |
Output is correct |
40 |
Correct |
29 ms |
33264 KB |
Output is correct |
41 |
Correct |
39 ms |
33332 KB |
Output is correct |
42 |
Correct |
29 ms |
32884 KB |
Output is correct |
43 |
Correct |
36 ms |
32880 KB |
Output is correct |
44 |
Correct |
38 ms |
32772 KB |
Output is correct |
45 |
Correct |
45 ms |
32844 KB |
Output is correct |
46 |
Correct |
33 ms |
32876 KB |
Output is correct |
47 |
Correct |
28 ms |
33100 KB |
Output is correct |
48 |
Correct |
41 ms |
33096 KB |
Output is correct |
49 |
Correct |
32 ms |
33712 KB |
Output is correct |
50 |
Correct |
153 ms |
40936 KB |
Output is correct |
51 |
Correct |
41 ms |
33364 KB |
Output is correct |
52 |
Correct |
121 ms |
39332 KB |
Output is correct |
53 |
Correct |
43 ms |
33720 KB |
Output is correct |
54 |
Correct |
145 ms |
40076 KB |
Output is correct |
55 |
Correct |
52 ms |
33316 KB |
Output is correct |
56 |
Correct |
31 ms |
33320 KB |
Output is correct |
57 |
Correct |
29 ms |
33376 KB |
Output is correct |
58 |
Correct |
34 ms |
33392 KB |
Output is correct |
59 |
Correct |
33 ms |
33316 KB |
Output is correct |
60 |
Correct |
163 ms |
38240 KB |
Output is correct |
61 |
Correct |
41 ms |
33180 KB |
Output is correct |
62 |
Correct |
126 ms |
40312 KB |
Output is correct |
63 |
Correct |
555 ms |
86804 KB |
Output is correct |
64 |
Correct |
560 ms |
86832 KB |
Output is correct |
65 |
Correct |
523 ms |
86944 KB |
Output is correct |
66 |
Correct |
233 ms |
58432 KB |
Output is correct |
67 |
Correct |
629 ms |
88000 KB |
Output is correct |
68 |
Correct |
244 ms |
58468 KB |
Output is correct |
69 |
Correct |
369 ms |
57764 KB |
Output is correct |
70 |
Correct |
239 ms |
58440 KB |
Output is correct |
71 |
Correct |
244 ms |
58552 KB |
Output is correct |
72 |
Correct |
513 ms |
71892 KB |
Output is correct |
73 |
Correct |
562 ms |
73368 KB |
Output is correct |
74 |
Correct |
1112 ms |
94888 KB |
Output is correct |
75 |
Correct |
493 ms |
67228 KB |
Output is correct |
76 |
Correct |
694 ms |
80256 KB |
Output is correct |
77 |
Correct |
731 ms |
80336 KB |
Output is correct |
78 |
Correct |
229 ms |
64556 KB |
Output is correct |
79 |
Correct |
371 ms |
72392 KB |
Output is correct |
80 |
Correct |
198 ms |
61712 KB |
Output is correct |
81 |
Correct |
361 ms |
66692 KB |
Output is correct |
82 |
Correct |
673 ms |
83816 KB |
Output is correct |
83 |
Correct |
601 ms |
83676 KB |
Output is correct |
84 |
Correct |
545 ms |
82352 KB |
Output is correct |
85 |
Correct |
534 ms |
82452 KB |
Output is correct |
86 |
Correct |
467 ms |
92104 KB |
Output is correct |
87 |
Correct |
583 ms |
94108 KB |
Output is correct |
88 |
Correct |
582 ms |
73052 KB |
Output is correct |
89 |
Correct |
670 ms |
79240 KB |
Output is correct |