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답안 #211996

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
211996 2020-03-21T22:23:52 Z qkxwsm 조이터에서 친구를 만드는건 재밌어 (JOI20_joitter2) C++14
100 / 100
 1002 ms 99576 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], siz[MAXN];
vi edge[MAXN];
ll ans;

set<int> in[MAXN]; //vertices into the CLIQUE i.
map<int, set<int> > out[MAXN]; //edges between cliques. out[x][y] stores for all x -> y,what are the actual vertices?

void merge(int u, int v);

int get(int u)
{
    return (u == dsu[u] ? u : dsu[u] = get(dsu[u]));
}
void addedge(int u, int v)
{
    // cerr << "addedge " << u << ' ' << v << endl;
    int x = get(u), y = get(v);
    if (x == y || in[y].find(u) != in[y].end())
    {
        //do nothing.
    }
    else if (SZ(out[x][y]) > 0 || SZ(out[y][x]) == 0)
    {
        //maybe x -> y has an edge already?
        out[x][y].insert(u);
        ans += siz[y];
        in[y].insert(u);
    }
    else
    {
        for (auto a : out[y][x])
        {
            // cerr << "in " << x << " erase " << a << endl;
            in[x].erase(a);
            ans -= siz[x];
        }
        // cerr << "ans = " << ans << endl;
        out[y].erase(x);
        //y -> x has an edge already.
        merge(x, y);
    }
}
void merge(int u, int v)
{
    u = get(u);
    v = get(v);
    if (u == v) return;
    // if (get(u) == get(v)) return;
    // assert(get(u) == u);
    // assert(get(v) == v);
    for (int x : out[u][v])
    {
        in[v].erase(x);
        ans -= siz[v];
    }
    for (int x : out[v][u])
    {
        in[u].erase(x);
        ans -= siz[u];
    }
    out[u][v].clear();
    out[v][u].clear();
    // cerr << "merge " << u << ' ' << v << endl;
    ans += 2ll * siz[u] * siz[v];
    // cerr << "ans = " << ans << endl;
    //now the actual merging part.
    //x -> both: do nothing
    //x -> one: connect it to the other.
    //x -> u and v -> x: MERGE AGAIN.
    if (SZ(out[u]) + SZ(in[u]) < SZ(out[v]) + SZ(in[v]))
    {
        swap(u, v);
    }
    // cerr << "merging " << u << ' ' << v << endl;
    set<int> merges;
    //this takes care of all edges stemming out of the connected component of v.
    for (auto it = out[v].begin(); it != out[v].end();)
    {
        if ((it -> se).empty())
        {
            it = out[v].erase(it);
            continue;
        }
        int cc = it -> fi;
        // if (cc == u)
        // assert(cc != u);
        // cerr << v << " -> " << cc << endl;
        // cerr << v << " -> " << cc << endl;
        if (SZ(out[cc][u]) > 0) //cc is the connected component that this is connected to.
        {
            //merge.
            //disconnect everything from that cc.
            for (auto a : it -> se)
            {
                in[cc].erase(a);
                ans -= siz[cc];
            }
            //disconnected everything in that cc from u.
            for (auto a : out[cc][u])
            {
                in[u].erase(a);
                ans -= siz[u];
            }
            out[cc].erase(u);
            it = out[v].erase(it);
            merges.insert(cc);
        }
        else
        {
            for (auto a : it -> se)
            {
                out[u][it -> fi].insert(a);
            }
            it++;
        }
    }
    out[v].clear();
    int cnt = 0, cnt1 = 0;
    for (int w : in[v])
    {
        // cerr << "w = " << w << endl;
        int cc = get(w);
        out[cc].erase(v);
        if (merges.find(cc) != merges.end() || SZ(out[u][cc]) > 0)
        {
            // cerr << "pity " << w << endl;
            for (int z : out[u][cc])
            {
                ans -= siz[cc];
                in[cc].erase(z);
            }
            // cerr << "ans " << ans << endl;
            out[u].erase(cc);
            merges.insert(cc);
            ans -= siz[v];
            // cerr << "ans " << ans << endl;
            continue;
        }
        else if (in[u].find(w) != in[u].end())
        {
            cnt++;
        }
        else
        {
            in[u].insert(w);
            out[cc][u].insert(w);
            ans += siz[u];
            cnt1++;
        }
    }
    // cerr << SZ(in[u]) << ' ' << cnt << ' ' << cnt1 << endl;
    ans += (SZ(in[u]) - cnt - cnt1) * siz[v];
    in[v].clear();
    dsu[v] = u;
    siz[u] += siz[v];
    siz[v] = 0;
    for (auto a : merges)
    {
        merge(a, u);
    }
    return;
}

int32_t main()
{
    cout << fixed << setprecision(12);
    cerr << fixed << setprecision(4);
    ios_base::sync_with_stdio(false); cin.tie(0);
    // freopen("test.out", "w", stdout);
    cin >> N >> M;
    FOR(i, 0, N)
    {
        dsu[i] = i;
        siz[i] = 1;
    }
    //store edges of the form clique -> node. they are actually reverses of the actual edges.
    //also, store clique -> clique edges.
    FOR(i, 0, M)
    {
        int u, v;
        cin >> u >> v; u--; v--;
        addedge(u, v);
        cout << ans << '\n';
        //check if u has an edge to anything in v.
    }
    return 0;
}

Subtask #1
1.0 / 1.0

# 결과 실행 시간 메모리 Grader output
1 Correct 11 ms 12032 KB Output is correct
2 Correct 11 ms 12032 KB Output is correct
3 Correct 11 ms 12160 KB Output is correct
4 Correct 11 ms 12240 KB Output is correct
5 Correct 11 ms 12160 KB Output is correct
6 Correct 12 ms 12160 KB Output is correct
7 Correct 12 ms 12160 KB Output is correct
8 Correct 11 ms 12160 KB Output is correct
9 Correct 11 ms 12160 KB Output is correct
10 Correct 11 ms 12160 KB Output is correct
11 Correct 13 ms 12032 KB Output is correct
12 Correct 11 ms 12032 KB Output is correct
13 Correct 11 ms 12032 KB Output is correct
14 Correct 11 ms 12160 KB Output is correct
15 Correct 11 ms 12032 KB Output is correct
16 Correct 11 ms 12160 KB Output is correct
17 Correct 11 ms 12160 KB Output is correct
18 Correct 11 ms 12136 KB Output is correct
19 Correct 10 ms 12160 KB Output is correct
20 Correct 11 ms 12160 KB Output is correct
21 Correct 12 ms 12160 KB Output is correct
22 Correct 13 ms 12032 KB Output is correct
23 Correct 11 ms 12160 KB Output is correct
24 Correct 11 ms 12160 KB Output is correct
25 Correct 11 ms 12160 KB Output is correct
26 Correct 11 ms 12160 KB Output is correct
27 Correct 11 ms 12160 KB Output is correct
28 Correct 12 ms 12160 KB Output is correct
29 Correct 11 ms 12160 KB Output is correct
30 Correct 11 ms 12160 KB Output is correct
31 Correct 11 ms 12160 KB Output is correct
32 Correct 11 ms 12160 KB Output is correct
33 Correct 11 ms 12160 KB Output is correct

Subtask #2
16.0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 11 ms 12032 KB Output is correct
2 Correct 11 ms 12032 KB Output is correct
3 Correct 11 ms 12160 KB Output is correct
4 Correct 11 ms 12240 KB Output is correct
5 Correct 11 ms 12160 KB Output is correct
6 Correct 12 ms 12160 KB Output is correct
7 Correct 12 ms 12160 KB Output is correct
8 Correct 11 ms 12160 KB Output is correct
9 Correct 11 ms 12160 KB Output is correct
10 Correct 11 ms 12160 KB Output is correct
11 Correct 13 ms 12032 KB Output is correct
12 Correct 11 ms 12032 KB Output is correct
13 Correct 11 ms 12032 KB Output is correct
14 Correct 11 ms 12160 KB Output is correct
15 Correct 11 ms 12032 KB Output is correct
16 Correct 11 ms 12160 KB Output is correct
17 Correct 11 ms 12160 KB Output is correct
18 Correct 11 ms 12136 KB Output is correct
19 Correct 10 ms 12160 KB Output is correct
20 Correct 11 ms 12160 KB Output is correct
21 Correct 12 ms 12160 KB Output is correct
22 Correct 13 ms 12032 KB Output is correct
23 Correct 11 ms 12160 KB Output is correct
24 Correct 11 ms 12160 KB Output is correct
25 Correct 11 ms 12160 KB Output is correct
26 Correct 11 ms 12160 KB Output is correct
27 Correct 11 ms 12160 KB Output is correct
28 Correct 12 ms 12160 KB Output is correct
29 Correct 11 ms 12160 KB Output is correct
30 Correct 11 ms 12160 KB Output is correct
31 Correct 11 ms 12160 KB Output is correct
32 Correct 11 ms 12160 KB Output is correct
33 Correct 11 ms 12160 KB Output is correct
34 Correct 13 ms 12288 KB Output is correct
35 Correct 103 ms 17084 KB Output is correct
36 Correct 127 ms 21496 KB Output is correct
37 Correct 134 ms 21624 KB Output is correct
38 Correct 137 ms 20860 KB Output is correct
39 Correct 14 ms 12288 KB Output is correct
40 Correct 14 ms 12416 KB Output is correct
41 Correct 14 ms 12544 KB Output is correct
42 Correct 14 ms 12288 KB Output is correct
43 Correct 15 ms 12416 KB Output is correct
44 Correct 15 ms 12416 KB Output is correct
45 Correct 14 ms 12288 KB Output is correct
46 Correct 16 ms 12288 KB Output is correct
47 Correct 16 ms 12416 KB Output is correct
48 Correct 14 ms 12416 KB Output is correct
49 Correct 23 ms 13824 KB Output is correct
50 Correct 131 ms 21752 KB Output is correct
51 Correct 19 ms 12800 KB Output is correct
52 Correct 108 ms 18528 KB Output is correct
53 Correct 22 ms 13696 KB Output is correct
54 Correct 120 ms 20088 KB Output is correct
55 Correct 18 ms 13184 KB Output is correct
56 Correct 17 ms 13184 KB Output is correct
57 Correct 18 ms 13696 KB Output is correct
58 Correct 17 ms 13696 KB Output is correct
59 Correct 14 ms 12160 KB Output is correct
60 Correct 89 ms 14584 KB Output is correct
61 Correct 16 ms 12544 KB Output is correct
62 Correct 128 ms 20676 KB Output is correct

Subtask #3
83.0 / 83.0

# 결과 실행 시간 메모리 Grader output
1 Correct 11 ms 12032 KB Output is correct
2 Correct 11 ms 12032 KB Output is correct
3 Correct 11 ms 12160 KB Output is correct
4 Correct 11 ms 12240 KB Output is correct
5 Correct 11 ms 12160 KB Output is correct
6 Correct 12 ms 12160 KB Output is correct
7 Correct 12 ms 12160 KB Output is correct
8 Correct 11 ms 12160 KB Output is correct
9 Correct 11 ms 12160 KB Output is correct
10 Correct 11 ms 12160 KB Output is correct
11 Correct 13 ms 12032 KB Output is correct
12 Correct 11 ms 12032 KB Output is correct
13 Correct 11 ms 12032 KB Output is correct
14 Correct 11 ms 12160 KB Output is correct
15 Correct 11 ms 12032 KB Output is correct
16 Correct 11 ms 12160 KB Output is correct
17 Correct 11 ms 12160 KB Output is correct
18 Correct 11 ms 12136 KB Output is correct
19 Correct 10 ms 12160 KB Output is correct
20 Correct 11 ms 12160 KB Output is correct
21 Correct 12 ms 12160 KB Output is correct
22 Correct 13 ms 12032 KB Output is correct
23 Correct 11 ms 12160 KB Output is correct
24 Correct 11 ms 12160 KB Output is correct
25 Correct 11 ms 12160 KB Output is correct
26 Correct 11 ms 12160 KB Output is correct
27 Correct 11 ms 12160 KB Output is correct
28 Correct 12 ms 12160 KB Output is correct
29 Correct 11 ms 12160 KB Output is correct
30 Correct 11 ms 12160 KB Output is correct
31 Correct 11 ms 12160 KB Output is correct
32 Correct 11 ms 12160 KB Output is correct
33 Correct 11 ms 12160 KB Output is correct
34 Correct 13 ms 12288 KB Output is correct
35 Correct 103 ms 17084 KB Output is correct
36 Correct 127 ms 21496 KB Output is correct
37 Correct 134 ms 21624 KB Output is correct
38 Correct 137 ms 20860 KB Output is correct
39 Correct 14 ms 12288 KB Output is correct
40 Correct 14 ms 12416 KB Output is correct
41 Correct 14 ms 12544 KB Output is correct
42 Correct 14 ms 12288 KB Output is correct
43 Correct 15 ms 12416 KB Output is correct
44 Correct 15 ms 12416 KB Output is correct
45 Correct 14 ms 12288 KB Output is correct
46 Correct 16 ms 12288 KB Output is correct
47 Correct 16 ms 12416 KB Output is correct
48 Correct 14 ms 12416 KB Output is correct
49 Correct 23 ms 13824 KB Output is correct
50 Correct 131 ms 21752 KB Output is correct
51 Correct 19 ms 12800 KB Output is correct
52 Correct 108 ms 18528 KB Output is correct
53 Correct 22 ms 13696 KB Output is correct
54 Correct 120 ms 20088 KB Output is correct
55 Correct 18 ms 13184 KB Output is correct
56 Correct 17 ms 13184 KB Output is correct
57 Correct 18 ms 13696 KB Output is correct
58 Correct 17 ms 13696 KB Output is correct
59 Correct 14 ms 12160 KB Output is correct
60 Correct 89 ms 14584 KB Output is correct
61 Correct 16 ms 12544 KB Output is correct
62 Correct 128 ms 20676 KB Output is correct
63 Correct 581 ms 99532 KB Output is correct
64 Correct 584 ms 99576 KB Output is correct
65 Correct 569 ms 99448 KB Output is correct
66 Correct 258 ms 24316 KB Output is correct
67 Correct 302 ms 31736 KB Output is correct
68 Correct 258 ms 24440 KB Output is correct
69 Correct 481 ms 32016 KB Output is correct
70 Correct 257 ms 24312 KB Output is correct
71 Correct 277 ms 24568 KB Output is correct
72 Correct 342 ms 31608 KB Output is correct
73 Correct 359 ms 31644 KB Output is correct
74 Correct 1002 ms 57592 KB Output is correct
75 Correct 625 ms 40184 KB Output is correct
76 Correct 724 ms 53496 KB Output is correct
77 Correct 752 ms 53624 KB Output is correct
78 Correct 255 ms 33272 KB Output is correct
79 Correct 433 ms 35448 KB Output is correct
80 Correct 270 ms 33144 KB Output is correct
81 Correct 426 ms 35192 KB Output is correct
82 Correct 713 ms 70520 KB Output is correct
83 Correct 718 ms 70520 KB Output is correct
84 Correct 678 ms 90872 KB Output is correct
85 Correct 677 ms 90872 KB Output is correct
86 Correct 152 ms 18940 KB Output is correct
87 Correct 186 ms 19960 KB Output is correct
88 Correct 356 ms 31608 KB Output is correct
89 Correct 709 ms 51320 KB Output is correct