Submission #212006

# Submission time Handle Problem Language Result Execution time Memory
212006 2020-03-22T01:06:37 Z qkxwsm Making Friends on Joitter is Fun (JOI20_joitter2) C++14
100 / 100
1469 ms 74104 KB
#include <bits/stdc++.h>

using namespace std;

template<class T, class U>
void ckmin(T &a, U b)
{
    if (a > b) a = b;
}

template<class T, class U>
void ckmax(T &a, U b)
{
    if (a < b) a = b;
}

#define MP make_pair
#define PB push_back
#define LB lower_bound
#define UB upper_bound
#define fi first
#define se second
#define SZ(x) ((int) (x).size())
#define ALL(x) (x).begin(), (x).end()
#define FOR(i, a, b) for (auto i = (a); i < (b); i++)
#define FORD(i, a, b) for (auto i = (a) - 1; i >= (b); i--)

typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<pii> vpi;
typedef vector<pll> vpl;

const int MAXN = 100013;

int N, M;
int dsu[MAXN];
vi nodes[MAXN];
ll ans;
set<int> in[MAXN], out[MAXN], cc[MAXN];
//set of nodes going into a clique
//set of cliques going out of a node
//set of cliques going out of a clique
vpi todo;
vpi merges;

int get(int u)
{
    return (u == dsu[u] ? u : dsu[u] = get(dsu[u]));
}
void proc()
{
    while(!todo.empty())
    {
        int s = todo.back().fi, t = todo.back().se;
        todo.pop_back();
        s = get(s); t = get(t);
        if (s == t) continue;
        cc[s].erase(t);
        cc[t].erase(s);
        // cerr << "merge " << s << ' ' << t << endl;
        ans -= (ll) SZ(in[s]) * SZ(nodes[s]);
        ans -= (ll) SZ(in[t]) * SZ(nodes[t]);
        if (SZ(nodes[s]) > SZ(nodes[t])) swap(s, t);
        //so in[s] and in[t] merge.
        for (int c : cc[s])
        {
            if (cc[c].count(t))
            {
                todo.PB({c, t});
            }
            cc[t].insert(c);
        }
        cc[s].clear();
        for (int u : in[s])
        {
            if (cc[t].count(get(u)))
            {
                todo.PB({get(u), t});
            }
            cc[get(u)].erase(s);
            cc[get(u)].insert(t);
            out[u].erase(s);
            out[u].insert(t);
            in[t].insert(u);
        }
        in[s].clear();
        nodes[t].insert(nodes[t].end(), ALL(nodes[s]));
        dsu[s] = t;
        ans += (ll) SZ(in[t]) * SZ(nodes[t]);
    }
    return;
}
void update(int u, int v)
{
    v = get(v);
    if (in[v].count(u)) return;
    //if v -> u doesn't exist.
    if (!cc[v].count(get(u)))
    {
        // cerr << "no " << v << ' ' << get(u) << endl;
        in[v].insert(u);
        // cerr << "in " << v << " insert " << u << endl;
        out[u].insert(v);
        ans += SZ(nodes[v]);
        cc[get(u)].insert(v);
        return;
    }
    todo.PB({get(u), v});
    proc();
}

int32_t main()
{
    cout << fixed << setprecision(12);
    cerr << fixed << setprecision(4);
    ios_base::sync_with_stdio(false); cin.tie(0);
    cin >> N >> M;
    FOR(i, 0, N)
    {
        dsu[i] = i;
        nodes[i].PB(i);
        in[i].insert(i);
        cc[i].insert(i);
    }
    //cc stores the edges in a forward direction.
    FOR(i, 0, M)
    {
        int u, v;
        cin >> u >> v; u--; v--;
        update(u, v);
        // ans = -N;
        // FOR(i, 0, N)
        // {
        //     ans += SZ(in[i]) * SZ(nodes[i]);
        // }
        cout << ans << '\n';
    }
    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 14 ms 16768 KB Output is correct
2 Correct 14 ms 16768 KB Output is correct
3 Correct 14 ms 16768 KB Output is correct
4 Correct 15 ms 16768 KB Output is correct
5 Correct 14 ms 16768 KB Output is correct
6 Correct 14 ms 16768 KB Output is correct
7 Correct 14 ms 16768 KB Output is correct
8 Correct 15 ms 16768 KB Output is correct
9 Correct 16 ms 16768 KB Output is correct
10 Correct 16 ms 16768 KB Output is correct
11 Correct 14 ms 16768 KB Output is correct
12 Correct 13 ms 16768 KB Output is correct
13 Correct 14 ms 16768 KB Output is correct
14 Correct 14 ms 16768 KB Output is correct
15 Correct 15 ms 16768 KB Output is correct
16 Correct 13 ms 16768 KB Output is correct
17 Correct 13 ms 16768 KB Output is correct
18 Correct 13 ms 16768 KB Output is correct
19 Correct 13 ms 16768 KB Output is correct
20 Correct 14 ms 16768 KB Output is correct
21 Correct 14 ms 16768 KB Output is correct
22 Correct 14 ms 16768 KB Output is correct
23 Correct 15 ms 16768 KB Output is correct
24 Correct 14 ms 16896 KB Output is correct
25 Correct 14 ms 16768 KB Output is correct
26 Correct 13 ms 16768 KB Output is correct
27 Correct 14 ms 16768 KB Output is correct
28 Correct 13 ms 16768 KB Output is correct
29 Correct 13 ms 16768 KB Output is correct
30 Correct 13 ms 16768 KB Output is correct
31 Correct 15 ms 16768 KB Output is correct
32 Correct 14 ms 16768 KB Output is correct
33 Correct 14 ms 16768 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 14 ms 16768 KB Output is correct
2 Correct 14 ms 16768 KB Output is correct
3 Correct 14 ms 16768 KB Output is correct
4 Correct 15 ms 16768 KB Output is correct
5 Correct 14 ms 16768 KB Output is correct
6 Correct 14 ms 16768 KB Output is correct
7 Correct 14 ms 16768 KB Output is correct
8 Correct 15 ms 16768 KB Output is correct
9 Correct 16 ms 16768 KB Output is correct
10 Correct 16 ms 16768 KB Output is correct
11 Correct 14 ms 16768 KB Output is correct
12 Correct 13 ms 16768 KB Output is correct
13 Correct 14 ms 16768 KB Output is correct
14 Correct 14 ms 16768 KB Output is correct
15 Correct 15 ms 16768 KB Output is correct
16 Correct 13 ms 16768 KB Output is correct
17 Correct 13 ms 16768 KB Output is correct
18 Correct 13 ms 16768 KB Output is correct
19 Correct 13 ms 16768 KB Output is correct
20 Correct 14 ms 16768 KB Output is correct
21 Correct 14 ms 16768 KB Output is correct
22 Correct 14 ms 16768 KB Output is correct
23 Correct 15 ms 16768 KB Output is correct
24 Correct 14 ms 16896 KB Output is correct
25 Correct 14 ms 16768 KB Output is correct
26 Correct 13 ms 16768 KB Output is correct
27 Correct 14 ms 16768 KB Output is correct
28 Correct 13 ms 16768 KB Output is correct
29 Correct 13 ms 16768 KB Output is correct
30 Correct 13 ms 16768 KB Output is correct
31 Correct 15 ms 16768 KB Output is correct
32 Correct 14 ms 16768 KB Output is correct
33 Correct 14 ms 16768 KB Output is correct
34 Correct 17 ms 16896 KB Output is correct
35 Correct 127 ms 20472 KB Output is correct
36 Correct 164 ms 23068 KB Output is correct
37 Correct 166 ms 23156 KB Output is correct
38 Correct 160 ms 22792 KB Output is correct
39 Correct 17 ms 17152 KB Output is correct
40 Correct 20 ms 17280 KB Output is correct
41 Correct 21 ms 17280 KB Output is correct
42 Correct 18 ms 17152 KB Output is correct
43 Correct 18 ms 17280 KB Output is correct
44 Correct 18 ms 17280 KB Output is correct
45 Correct 17 ms 17152 KB Output is correct
46 Correct 18 ms 17152 KB Output is correct
47 Correct 20 ms 17280 KB Output is correct
48 Correct 20 ms 17280 KB Output is correct
49 Correct 29 ms 17912 KB Output is correct
50 Correct 162 ms 23152 KB Output is correct
51 Correct 23 ms 17408 KB Output is correct
52 Correct 150 ms 21496 KB Output is correct
53 Correct 28 ms 17792 KB Output is correct
54 Correct 152 ms 22264 KB Output is correct
55 Correct 21 ms 17664 KB Output is correct
56 Correct 20 ms 17664 KB Output is correct
57 Correct 21 ms 17792 KB Output is correct
58 Correct 20 ms 17664 KB Output is correct
59 Correct 19 ms 17280 KB Output is correct
60 Correct 127 ms 19704 KB Output is correct
61 Correct 21 ms 17408 KB Output is correct
62 Correct 156 ms 22536 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 14 ms 16768 KB Output is correct
2 Correct 14 ms 16768 KB Output is correct
3 Correct 14 ms 16768 KB Output is correct
4 Correct 15 ms 16768 KB Output is correct
5 Correct 14 ms 16768 KB Output is correct
6 Correct 14 ms 16768 KB Output is correct
7 Correct 14 ms 16768 KB Output is correct
8 Correct 15 ms 16768 KB Output is correct
9 Correct 16 ms 16768 KB Output is correct
10 Correct 16 ms 16768 KB Output is correct
11 Correct 14 ms 16768 KB Output is correct
12 Correct 13 ms 16768 KB Output is correct
13 Correct 14 ms 16768 KB Output is correct
14 Correct 14 ms 16768 KB Output is correct
15 Correct 15 ms 16768 KB Output is correct
16 Correct 13 ms 16768 KB Output is correct
17 Correct 13 ms 16768 KB Output is correct
18 Correct 13 ms 16768 KB Output is correct
19 Correct 13 ms 16768 KB Output is correct
20 Correct 14 ms 16768 KB Output is correct
21 Correct 14 ms 16768 KB Output is correct
22 Correct 14 ms 16768 KB Output is correct
23 Correct 15 ms 16768 KB Output is correct
24 Correct 14 ms 16896 KB Output is correct
25 Correct 14 ms 16768 KB Output is correct
26 Correct 13 ms 16768 KB Output is correct
27 Correct 14 ms 16768 KB Output is correct
28 Correct 13 ms 16768 KB Output is correct
29 Correct 13 ms 16768 KB Output is correct
30 Correct 13 ms 16768 KB Output is correct
31 Correct 15 ms 16768 KB Output is correct
32 Correct 14 ms 16768 KB Output is correct
33 Correct 14 ms 16768 KB Output is correct
34 Correct 17 ms 16896 KB Output is correct
35 Correct 127 ms 20472 KB Output is correct
36 Correct 164 ms 23068 KB Output is correct
37 Correct 166 ms 23156 KB Output is correct
38 Correct 160 ms 22792 KB Output is correct
39 Correct 17 ms 17152 KB Output is correct
40 Correct 20 ms 17280 KB Output is correct
41 Correct 21 ms 17280 KB Output is correct
42 Correct 18 ms 17152 KB Output is correct
43 Correct 18 ms 17280 KB Output is correct
44 Correct 18 ms 17280 KB Output is correct
45 Correct 17 ms 17152 KB Output is correct
46 Correct 18 ms 17152 KB Output is correct
47 Correct 20 ms 17280 KB Output is correct
48 Correct 20 ms 17280 KB Output is correct
49 Correct 29 ms 17912 KB Output is correct
50 Correct 162 ms 23152 KB Output is correct
51 Correct 23 ms 17408 KB Output is correct
52 Correct 150 ms 21496 KB Output is correct
53 Correct 28 ms 17792 KB Output is correct
54 Correct 152 ms 22264 KB Output is correct
55 Correct 21 ms 17664 KB Output is correct
56 Correct 20 ms 17664 KB Output is correct
57 Correct 21 ms 17792 KB Output is correct
58 Correct 20 ms 17664 KB Output is correct
59 Correct 19 ms 17280 KB Output is correct
60 Correct 127 ms 19704 KB Output is correct
61 Correct 21 ms 17408 KB Output is correct
62 Correct 156 ms 22536 KB Output is correct
63 Correct 607 ms 74104 KB Output is correct
64 Correct 602 ms 74104 KB Output is correct
65 Correct 601 ms 74000 KB Output is correct
66 Correct 316 ms 36848 KB Output is correct
67 Correct 989 ms 44776 KB Output is correct
68 Correct 304 ms 36976 KB Output is correct
69 Correct 589 ms 41584 KB Output is correct
70 Correct 345 ms 37104 KB Output is correct
71 Correct 357 ms 36976 KB Output is correct
72 Correct 811 ms 42152 KB Output is correct
73 Correct 834 ms 42284 KB Output is correct
74 Correct 1469 ms 55064 KB Output is correct
75 Correct 814 ms 45808 KB Output is correct
76 Correct 1100 ms 52220 KB Output is correct
77 Correct 1093 ms 53076 KB Output is correct
78 Correct 390 ms 42100 KB Output is correct
79 Correct 752 ms 44468 KB Output is correct
80 Correct 352 ms 42172 KB Output is correct
81 Correct 595 ms 44016 KB Output is correct
82 Correct 901 ms 59804 KB Output is correct
83 Correct 885 ms 60016 KB Output is correct
84 Correct 783 ms 60228 KB Output is correct
85 Correct 786 ms 60284 KB Output is correct
86 Correct 727 ms 41692 KB Output is correct
87 Correct 817 ms 42520 KB Output is correct
88 Correct 828 ms 42216 KB Output is correct
89 Correct 1071 ms 51300 KB Output is correct