Submission #833643

# Submission time Handle Problem Language Result Execution time Memory
833643 2023-08-22T07:22:42 Z maomao90 Making Friends on Joitter is Fun (JOI20_joitter2) C++17
100 / 100
742 ms 93376 KB
// Hallelujah, praise the one who set me free
// Hallelujah, death has lost its grip on me
// You have broken every chain, There's salvation in your name
// Jesus Christ, my living hope
#include <bits/stdc++.h> 
using namespace std;

#define REP(i, s, e) for (int i = (s); i < (e); i++)
#define RREP(i, s, e) for (int i = (s); i >= (e); i--)
template <class T>
inline bool mnto(T& a, T b) {return a > b ? a = b, 1 : 0;}
template <class T>
inline bool mxto(T& a, T b) {return a < b ? a = b, 1: 0;}

typedef unsigned long long ull;
typedef long long ll;
typedef long double ld;
#define FI first
#define SE second
typedef pair<int, int> ii;
typedef pair<ll, ll> pll;
typedef tuple<int, int, int> iii;
#define ALL(_a) _a.begin(), _a.end()
#define SZ(_a) (int) _a.size()
#define pb push_back
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<ii> vii;
typedef vector<iii> viii;

#ifndef DEBUG
#define cerr if (0) cerr
#endif

const int INF = 1000000005;
const ll LINF = 1000000000000000005ll;
const int MAXN = 300005;

int n, m;
ll ans;

struct thing {
    int v, u;
    bool operator< (const thing &o) const {
        return v < o.v;
    }
};

set<thing> adj[MAXN];
set<ii> iadj[MAXN];
set<int> adjp[MAXN];
int p[MAXN], sz[MAXN];
void init() {
    REP (i, 1, n + 1) {
        p[i] = i;
        sz[i] = 1;
    }
}
int findp(int i) {
    if (p[i] == i) {
        return i;
    }
    return p[i] = findp(p[i]);
}
bool join(int a, int b) {
    int pa = findp(a), pb = findp(b);
    if (pa == pb) {
        return 1;
    }
    if (sz[pa] < sz[pb]) {
        swap(pa, pb);
    }
    vii todo;
    ans -= (ll) SZ(adj[pa]) * sz[pa];
    ans -= (ll) SZ(adj[pb]) * sz[pb];
    adjp[pa].erase(pb);
    adjp[pb].erase(pa);
    for (auto [v, u] : adj[pb]) {
        if (findp(v) == pa) {
            iadj[pa].erase({u, v});
        } else {
            adj[pa].insert({v, u});
            adjp[pa].insert(findp(v));
            if (adjp[findp(v)].count(pa)) {
                todo.pb({findp(v), pa});
            }
        }
    }
    for (auto [v, u] : iadj[pb]) {
        if (findp(v) == pa) {
            adj[pa].erase({u, v});
        } else {
            iadj[pa].insert({v, u});
            adjp[findp(v)].erase(pb);
            adjp[findp(v)].insert(pa);
            if (adjp[pa].count(findp(v))) {
                todo.pb({findp(v), pa});
            }
        }
    }
    /*
    for (auto [x, y] : eg[pa][pb]) {
        adj[pa].erase(y);
    }
    for (auto [x, y] : eg[pb][pa]) {
        adj[pb].erase(y);
    }
    */
    ans -= (ll) sz[pa] * (sz[pa] - 1);
    ans -= (ll) sz[pb] * (sz[pb] - 1);
    sz[pa] += sz[pb];
    ans += (ll) sz[pa] * (sz[pa] - 1);
    ans += (ll) SZ(adj[pa]) * sz[pa];
    p[pb] = pa;
    for (auto [x, y] : todo) {
        join(x, y);
    }
    return 1;
}

int main() {
#ifndef DEBUG
    ios::sync_with_stdio(0), cin.tie(0);
#endif
    cin >> n >> m;
    init();
    REP (i, 0, m) {
        int a, b; cin >> a >> b;
        if (findp(a) != findp(b)) {
            bool gd = adj[findp(b)].insert({a, b}).SE;
            if (gd) {
                ans += sz[findp(b)];
            }
            iadj[findp(a)].insert({b, a});
            adjp[findp(b)].insert(findp(a));
            if (adjp[findp(a)].count(findp(b))) {
                cerr << "JOIN " << a << ' ' << b << '\n';
                join(a, b);
            }
        }
        /*
        while (1) {
            bool fnd = 0;
            RREP (j, i, 0) {
                RREP (k, j - 1, 0) {
                    if (findp(a[j]) == findp(b[k]) && findp(a[k]) == findp(b[j]) && findp(a[j]) != findp(b[j])) {
                        fnd = 1;
                        join(a[j], b[j]);
                    }
                }
            }
            if (!fnd) {
                break;
            }
        }
        ll ans = 0;
        set<ii> st;
        RREP (j, i, 0) {
            if (findp(a[j]) == findp(b[j])) {
                continue;
            }
            int pa = a[j], pb = findp(b[j]);
            if (st.find({pa, pb}) != st.end()) {
                continue;
            }
            st.insert({pa, pb});
            ans += sz[pb];
        }
        REP (j, 1, n + 1) {
            if (findp(j) != j) {
                continue;
            }
            ans += (ll) sz[j] * (sz[j] - 1);
        }
        cout << ans << '\n';
        */
        cout << ans << '\n';
    }
    return 0;
}
# Verdict Execution time Memory Grader output
1 Correct 19 ms 42580 KB Output is correct
2 Correct 20 ms 42504 KB Output is correct
3 Correct 19 ms 42584 KB Output is correct
4 Correct 19 ms 42580 KB Output is correct
5 Correct 19 ms 42580 KB Output is correct
6 Correct 20 ms 42552 KB Output is correct
7 Correct 20 ms 42608 KB Output is correct
8 Correct 19 ms 42580 KB Output is correct
9 Correct 22 ms 42580 KB Output is correct
10 Correct 19 ms 42580 KB Output is correct
11 Correct 19 ms 42580 KB Output is correct
12 Correct 19 ms 42580 KB Output is correct
13 Correct 19 ms 42580 KB Output is correct
14 Correct 20 ms 42580 KB Output is correct
15 Correct 23 ms 42580 KB Output is correct
16 Correct 19 ms 42580 KB Output is correct
17 Correct 19 ms 42704 KB Output is correct
18 Correct 20 ms 42580 KB Output is correct
19 Correct 19 ms 42580 KB Output is correct
20 Correct 20 ms 42580 KB Output is correct
21 Correct 24 ms 42580 KB Output is correct
22 Correct 20 ms 42580 KB Output is correct
23 Correct 20 ms 42580 KB Output is correct
24 Correct 20 ms 42588 KB Output is correct
25 Correct 20 ms 42604 KB Output is correct
26 Correct 18 ms 42580 KB Output is correct
27 Correct 19 ms 42580 KB Output is correct
28 Correct 19 ms 42580 KB Output is correct
29 Correct 20 ms 42580 KB Output is correct
30 Correct 20 ms 42612 KB Output is correct
31 Correct 19 ms 42580 KB Output is correct
32 Correct 19 ms 42580 KB Output is correct
33 Correct 20 ms 42580 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 19 ms 42580 KB Output is correct
2 Correct 20 ms 42504 KB Output is correct
3 Correct 19 ms 42584 KB Output is correct
4 Correct 19 ms 42580 KB Output is correct
5 Correct 19 ms 42580 KB Output is correct
6 Correct 20 ms 42552 KB Output is correct
7 Correct 20 ms 42608 KB Output is correct
8 Correct 19 ms 42580 KB Output is correct
9 Correct 22 ms 42580 KB Output is correct
10 Correct 19 ms 42580 KB Output is correct
11 Correct 19 ms 42580 KB Output is correct
12 Correct 19 ms 42580 KB Output is correct
13 Correct 19 ms 42580 KB Output is correct
14 Correct 20 ms 42580 KB Output is correct
15 Correct 23 ms 42580 KB Output is correct
16 Correct 19 ms 42580 KB Output is correct
17 Correct 19 ms 42704 KB Output is correct
18 Correct 20 ms 42580 KB Output is correct
19 Correct 19 ms 42580 KB Output is correct
20 Correct 20 ms 42580 KB Output is correct
21 Correct 24 ms 42580 KB Output is correct
22 Correct 20 ms 42580 KB Output is correct
23 Correct 20 ms 42580 KB Output is correct
24 Correct 20 ms 42588 KB Output is correct
25 Correct 20 ms 42604 KB Output is correct
26 Correct 18 ms 42580 KB Output is correct
27 Correct 19 ms 42580 KB Output is correct
28 Correct 19 ms 42580 KB Output is correct
29 Correct 20 ms 42580 KB Output is correct
30 Correct 20 ms 42612 KB Output is correct
31 Correct 19 ms 42580 KB Output is correct
32 Correct 19 ms 42580 KB Output is correct
33 Correct 20 ms 42580 KB Output is correct
34 Correct 21 ms 42708 KB Output is correct
35 Correct 85 ms 48496 KB Output is correct
36 Correct 97 ms 51576 KB Output is correct
37 Correct 97 ms 51748 KB Output is correct
38 Correct 95 ms 51204 KB Output is correct
39 Correct 21 ms 42828 KB Output is correct
40 Correct 22 ms 42964 KB Output is correct
41 Correct 22 ms 42964 KB Output is correct
42 Correct 27 ms 42852 KB Output is correct
43 Correct 23 ms 42836 KB Output is correct
44 Correct 23 ms 42896 KB Output is correct
45 Correct 21 ms 42836 KB Output is correct
46 Correct 21 ms 42836 KB Output is correct
47 Correct 22 ms 42964 KB Output is correct
48 Correct 22 ms 42964 KB Output is correct
49 Correct 27 ms 43884 KB Output is correct
50 Correct 100 ms 51844 KB Output is correct
51 Correct 25 ms 43220 KB Output is correct
52 Correct 86 ms 49952 KB Output is correct
53 Correct 27 ms 43860 KB Output is correct
54 Correct 96 ms 50748 KB Output is correct
55 Correct 25 ms 43220 KB Output is correct
56 Correct 24 ms 43220 KB Output is correct
57 Correct 23 ms 43604 KB Output is correct
58 Correct 23 ms 43476 KB Output is correct
59 Correct 20 ms 42872 KB Output is correct
60 Correct 71 ms 47704 KB Output is correct
61 Correct 21 ms 43092 KB Output is correct
62 Correct 93 ms 51028 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 19 ms 42580 KB Output is correct
2 Correct 20 ms 42504 KB Output is correct
3 Correct 19 ms 42584 KB Output is correct
4 Correct 19 ms 42580 KB Output is correct
5 Correct 19 ms 42580 KB Output is correct
6 Correct 20 ms 42552 KB Output is correct
7 Correct 20 ms 42608 KB Output is correct
8 Correct 19 ms 42580 KB Output is correct
9 Correct 22 ms 42580 KB Output is correct
10 Correct 19 ms 42580 KB Output is correct
11 Correct 19 ms 42580 KB Output is correct
12 Correct 19 ms 42580 KB Output is correct
13 Correct 19 ms 42580 KB Output is correct
14 Correct 20 ms 42580 KB Output is correct
15 Correct 23 ms 42580 KB Output is correct
16 Correct 19 ms 42580 KB Output is correct
17 Correct 19 ms 42704 KB Output is correct
18 Correct 20 ms 42580 KB Output is correct
19 Correct 19 ms 42580 KB Output is correct
20 Correct 20 ms 42580 KB Output is correct
21 Correct 24 ms 42580 KB Output is correct
22 Correct 20 ms 42580 KB Output is correct
23 Correct 20 ms 42580 KB Output is correct
24 Correct 20 ms 42588 KB Output is correct
25 Correct 20 ms 42604 KB Output is correct
26 Correct 18 ms 42580 KB Output is correct
27 Correct 19 ms 42580 KB Output is correct
28 Correct 19 ms 42580 KB Output is correct
29 Correct 20 ms 42580 KB Output is correct
30 Correct 20 ms 42612 KB Output is correct
31 Correct 19 ms 42580 KB Output is correct
32 Correct 19 ms 42580 KB Output is correct
33 Correct 20 ms 42580 KB Output is correct
34 Correct 21 ms 42708 KB Output is correct
35 Correct 85 ms 48496 KB Output is correct
36 Correct 97 ms 51576 KB Output is correct
37 Correct 97 ms 51748 KB Output is correct
38 Correct 95 ms 51204 KB Output is correct
39 Correct 21 ms 42828 KB Output is correct
40 Correct 22 ms 42964 KB Output is correct
41 Correct 22 ms 42964 KB Output is correct
42 Correct 27 ms 42852 KB Output is correct
43 Correct 23 ms 42836 KB Output is correct
44 Correct 23 ms 42896 KB Output is correct
45 Correct 21 ms 42836 KB Output is correct
46 Correct 21 ms 42836 KB Output is correct
47 Correct 22 ms 42964 KB Output is correct
48 Correct 22 ms 42964 KB Output is correct
49 Correct 27 ms 43884 KB Output is correct
50 Correct 100 ms 51844 KB Output is correct
51 Correct 25 ms 43220 KB Output is correct
52 Correct 86 ms 49952 KB Output is correct
53 Correct 27 ms 43860 KB Output is correct
54 Correct 96 ms 50748 KB Output is correct
55 Correct 25 ms 43220 KB Output is correct
56 Correct 24 ms 43220 KB Output is correct
57 Correct 23 ms 43604 KB Output is correct
58 Correct 23 ms 43476 KB Output is correct
59 Correct 20 ms 42872 KB Output is correct
60 Correct 71 ms 47704 KB Output is correct
61 Correct 21 ms 43092 KB Output is correct
62 Correct 93 ms 51028 KB Output is correct
63 Correct 439 ms 91096 KB Output is correct
64 Correct 490 ms 91088 KB Output is correct
65 Correct 469 ms 90968 KB Output is correct
66 Correct 119 ms 57176 KB Output is correct
67 Correct 232 ms 61852 KB Output is correct
68 Correct 123 ms 57164 KB Output is correct
69 Correct 271 ms 58212 KB Output is correct
70 Correct 140 ms 57164 KB Output is correct
71 Correct 126 ms 57164 KB Output is correct
72 Correct 285 ms 62476 KB Output is correct
73 Correct 257 ms 62412 KB Output is correct
74 Correct 742 ms 93376 KB Output is correct
75 Correct 410 ms 65664 KB Output is correct
76 Correct 520 ms 78208 KB Output is correct
77 Correct 512 ms 78272 KB Output is correct
78 Correct 235 ms 60760 KB Output is correct
79 Correct 269 ms 65968 KB Output is correct
80 Correct 170 ms 59628 KB Output is correct
81 Correct 262 ms 64016 KB Output is correct
82 Correct 480 ms 77004 KB Output is correct
83 Correct 483 ms 76992 KB Output is correct
84 Correct 491 ms 93008 KB Output is correct
85 Correct 523 ms 93024 KB Output is correct
86 Correct 126 ms 56360 KB Output is correct
87 Correct 176 ms 58572 KB Output is correct
88 Correct 286 ms 62812 KB Output is correct
89 Correct 507 ms 75464 KB Output is correct