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답안 #996182

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
996182 2024-06-10T08:33:07 Z vladilius Inside information (BOI21_servers) C++17
80 / 100
 3500 ms 81100 KB 
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using pii = pair<int, int>;
#define pb push_back
#define ff first
#define ss second
#define ins insert
#define arr3 array<int, 3>

struct dsu{
    vector<int> sz, m, p;
    int n; bool t;
    dsu(int ns, bool ts){
        n = ns; t = ts;
        p.resize(n + 1);
        sz.resize(n + 1);
        m.resize(n + 1);
        for (int i = 1; i <= n; i++){
            p[i] = m[i] = i;
            sz[i] = 1;
        }
    }
    int get(int v){
        if (p[v] != v){
            p[v] = get(p[v]);
        }
        return p[v];
    }
    int f(int x, int y){
        if (t) return max(x, y);
        return min(x, y);
    }
    int q(int v){
        return m[get(v)];
    }
    void unite(int x, int y){
        x = get(x); y = get(y);
        if (x == y) return;
        if (sz[x] > sz[y]) swap(x, y);
        p[x] = y;
        sz[y] += sz[x];
        m[y] = f(m[y], m[x]);
    }
};

struct NC{
    vector<int> a;
    void add(int x){
        a.pb(x);
    }
    int get(int x){
        int out = 1;
        for (int i: a) out += (i > x);
        return out;
    }
};

int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    
    struct query{
        char t;
        int x, y;
    };
    
    int n, q; cin>>n>>q;
    q += (n - 1);
    
    vector<query> qs(q + 1);
    vector<int> g[n + 1];
    for (int i = 1; i <= q; i++){
        cin>>qs[i].t>>qs[i].x;
        if (qs[i].t != 'C') cin>>qs[i].y;
        if (qs[i].t == 'S'){
            g[qs[i].x].pb(qs[i].y);
            g[qs[i].y].pb(qs[i].x);
        }
    }
    
    vector<int> sz(n + 1), d(n + 1), h(n + 1), p(n + 1);
    function<void(int, int)> dfs = [&](int v, int pr){
        p[v] = pr;
        sz[v] = 1;
        for (int i: g[v]){
            if (i == pr) continue;
            d[i] = d[v] + 1;
            dfs(i, v);
            if (sz[i] > sz[h[v]]){
                h[v] = i;
            }
            sz[v] += sz[i];
        }
    };
    dfs(1, 0);
    
    vector<int> head(n + 1), pos(n + 1);
    int timer = 0;
    function<void(int, int)> dfs_hld = [&](int v, int k){
        head[v] = k;
        pos[v] = ++timer;
        if (!h[v]) return;
        dfs_hld(h[v], k);
        for (int i: g[v]){
            if (pos[i]) continue;
            dfs_hld(i, i);
        }
    };
    dfs_hld(1, 1);

    auto pr = [&](int a, int b){
        return (d[a] > d[b]) ? a : b;
    };
    
    vector<int> f(n + 1);
    dsu T1(n, 1), T2(n, 0);
    
    auto lca = [&](int x, int y){
        while (head[x] != head[y]){
            if (d[head[x]] > d[head[y]]){
                swap(x, y);
            }
            y = p[head[y]];
        }
        return ((d[x] > d[y]) ? y : x);
    };
    
    const arr3 zr = {0, 0, 0};
    
    auto check = [&](int x, int y){
        int a = lca(x, y), pre = 0, mini = q + 1, maxi = 0;
        while (true){
            // xl > ... > xr
            if (d[head[x]] > d[a]){
                int l = pos[head[x]], r = pos[x];
                if (!f[r] || T2.q(r) > l || f[r] < pre) return zr;
                x = p[head[x]];
                mini = min(mini, f[r]);
                maxi = max(maxi, f[l]);
                pre = f[l];
            }
            else {
                int l = pos[a] + 1, r = pos[x];
                if (l <= r && (!f[r] || T2.q(r) > l || f[r] < pre)) return zr;
                if (l <= r){
                    pre = f[l];
                    mini = min(mini, f[r]);
                    maxi = max(maxi, f[l]);
                }
                break;
            }
        }
        vector<pii> all;
        while (true){
            // xl < ... < xr
            if (d[head[y]] > d[a]){
                int l = pos[head[y]], r = pos[y];
                all.pb({l, r});
                y = p[head[y]];
            }
            else {
                int l = pos[a] + 1, r = pos[y];
                if (l <= r) all.pb({l, r});
                break;
            }
        }
        reverse(all.begin(), all.end());
        for (auto [l, r]: all){
            if (!f[l] || T1.q(l) < r || f[l] < pre) return zr;
            mini = min(mini, f[l]);
            maxi = max(maxi, f[r]);
            pre = f[r];
        }
        arr3 ret = {1, mini, maxi};
        return ret;
    };
    
    // Arvid's Decomposition
    vector<bool> used(n + 1);
    function<void(int, int)> fill_sz = [&](int v, int pr){
        sz[v] = 1;
        for (int i: g[v]){
            if (i == pr || used[i]) continue;
            fill_sz(i, v);
            sz[v] += sz[i];
        }
    };
    function<int(int, int, int&)> find = [&](int v, int pr, int& S){
        for (int i: g[v]){
            if (i == pr || used[i]) continue;
            if (2 * sz[i] >= S) return find(i, v, S);
        }
        return v;
    };
    vector<int> par(n + 1), dd(n + 1);
    function<void(int, int, int)> arvid = [&](int v, int p, int s){
        fill_sz(v, 0);
        int k = find(v, 0, sz[v]);
        par[k] = p;
        dd[k] = s;
        used[k] = 1;
        for (int i: g[k]){
            if (used[i]) continue;
            arvid(i, k, s + 1);
        }
    };
    arvid(1, 0, 0);
    
    NC T[n + 1];
    map<int, bool> mp[n + 1];
    auto get = [&](int v){
        int t = par[v], out = T[v].get(0);
        while (t > 0){
            arr3 d = check(v, t);
            if (d[0]){
                out += T[t].get(d[2]);
            }
            t = par[t];
        }
        return out;
    };
    
    auto add = [&](int x){
        int t = par[x];
        while (t > 0){
            arr3 d = check(t, x);
            if (mp[t].find(x) == mp[t].end() && d[0]){
                mp[t][x] = 1;
                T[t].add(d[1]);
            }
            t = par[t];
        }
    };
    
    auto upd = [&](int a, int b, int i){
        int v = pos[pr(a, b)];
        f[v] = i;
        if (f[v - 1] && f[v - 1] < f[v]) T1.unite(v, v - 1);
        if (v != n && f[v] < f[v + 1]) T1.unite(v, v + 1);
        if (f[v - 1] > f[v]) T2.unite(v, v - 1);
        if (v != n && f[v + 1] && f[v] > f[v + 1]) T2.unite(v, v + 1);
        
        add(a); add(b);
    };
    
    for (int i = 1; i <= q; i++){
        if (qs[i].t == 'S'){
            upd(qs[i].x, qs[i].y, i);
        }
        else if (qs[i].t == 'Q'){
            int a = qs[i].x, b = qs[i].y;
            cout<<(check(b, a)[0] ? "yes" : "no")<<"\n";
        }
        else {
            cout<<get(qs[i].x)<<"\n";
        }
    }
}

Subtask #1
2.5 / 2.5

# 결과 실행 시간 메모리 Grader output
1 Correct 18 ms 2908 KB Output is correct
2 Correct 36 ms 4648 KB Output is correct
3 Correct 28 ms 4688 KB Output is correct
4 Correct 31 ms 4688 KB Output is correct
5 Correct 28 ms 4692 KB Output is correct
6 Correct 25 ms 4468 KB Output is correct

Subtask #2
2.5 / 2.5

# 결과 실행 시간 메모리 Grader output
1 Correct 18 ms 2908 KB Output is correct
2 Correct 36 ms 4648 KB Output is correct
3 Correct 28 ms 4688 KB Output is correct
4 Correct 31 ms 4688 KB Output is correct
5 Correct 28 ms 4692 KB Output is correct
6 Correct 25 ms 4468 KB Output is correct
7 Correct 19 ms 2908 KB Output is correct
8 Correct 39 ms 4436 KB Output is correct
9 Correct 56 ms 4436 KB Output is correct
10 Correct 50 ms 4180 KB Output is correct
11 Correct 41 ms 4436 KB Output is correct
12 Correct 148 ms 4416 KB Output is correct

Subtask #3
2.5 / 2.5

# 결과 실행 시간 메모리 Grader output
1 Correct 17 ms 2908 KB Output is correct
2 Correct 155 ms 34760 KB Output is correct
3 Correct 132 ms 34764 KB Output is correct

Subtask #4
0 / 2.5

# 결과 실행 시간 메모리 Grader output
1 Correct 17 ms 2908 KB Output is correct
2 Correct 155 ms 34760 KB Output is correct
3 Correct 132 ms 34764 KB Output is correct
4 Correct 17 ms 3092 KB Output is correct
5 Correct 880 ms 35084 KB Output is correct
6 Execution timed out 3551 ms 33376 KB Time limit exceeded
7 Halted 0 ms 0 KB -

Subtask #5
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 18 ms 2904 KB Output is correct
2 Correct 347 ms 41300 KB Output is correct
3 Correct 353 ms 41296 KB Output is correct
4 Correct 380 ms 80848 KB Output is correct

Subtask #6
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 18 ms 2904 KB Output is correct
2 Correct 347 ms 41300 KB Output is correct
3 Correct 353 ms 41296 KB Output is correct
4 Correct 380 ms 80848 KB Output is correct
5 Correct 24 ms 2908 KB Output is correct
6 Correct 385 ms 41212 KB Output is correct
7 Correct 1204 ms 79016 KB Output is correct
8 Correct 430 ms 40908 KB Output is correct
9 Correct 427 ms 40788 KB Output is correct

Subtask #7
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 17 ms 2904 KB Output is correct
2 Correct 669 ms 71652 KB Output is correct
3 Correct 579 ms 40528 KB Output is correct

Subtask #8
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 17 ms 2904 KB Output is correct
2 Correct 669 ms 71652 KB Output is correct
3 Correct 579 ms 40528 KB Output is correct
4 Correct 17 ms 2880 KB Output is correct
5 Correct 1454 ms 71756 KB Output is correct
6 Correct 661 ms 40532 KB Output is correct

Subtask #9
12.5 / 12.5

# 결과 실행 시간 메모리 Grader output
1 Correct 17 ms 3084 KB Output is correct
2 Correct 352 ms 41300 KB Output is correct
3 Correct 351 ms 41044 KB Output is correct
4 Correct 383 ms 81100 KB Output is correct
5 Correct 18 ms 2908 KB Output is correct
6 Correct 688 ms 72520 KB Output is correct
7 Correct 644 ms 41044 KB Output is correct
8 Correct 433 ms 40016 KB Output is correct
9 Correct 423 ms 40020 KB Output is correct
10 Correct 428 ms 55040 KB Output is correct
11 Correct 416 ms 54948 KB Output is correct

Subtask #10
12.5 / 12.5

# 결과 실행 시간 메모리 Grader output
1 Correct 17 ms 3084 KB Output is correct
2 Correct 352 ms 41300 KB Output is correct
3 Correct 351 ms 41044 KB Output is correct
4 Correct 383 ms 81100 KB Output is correct
5 Correct 18 ms 2908 KB Output is correct
6 Correct 688 ms 72520 KB Output is correct
7 Correct 644 ms 41044 KB Output is correct
8 Correct 433 ms 40016 KB Output is correct
9 Correct 423 ms 40020 KB Output is correct
10 Correct 428 ms 55040 KB Output is correct
11 Correct 416 ms 54948 KB Output is correct
12 Correct 19 ms 3012 KB Output is correct
13 Correct 463 ms 41300 KB Output is correct
14 Correct 1192 ms 78924 KB Output is correct
15 Correct 425 ms 40788 KB Output is correct
16 Correct 411 ms 40788 KB Output is correct
17 Correct 18 ms 2900 KB Output is correct
18 Correct 1424 ms 71896 KB Output is correct
19 Correct 635 ms 40532 KB Output is correct
20 Correct 468 ms 39508 KB Output is correct
21 Correct 448 ms 39684 KB Output is correct
22 Correct 690 ms 54036 KB Output is correct
23 Correct 1687 ms 71604 KB Output is correct
24 Correct 1026 ms 66768 KB Output is correct

Subtask #11
17.5 / 17.5

# 결과 실행 시간 메모리 Grader output
1 Correct 18 ms 3016 KB Output is correct
2 Correct 33 ms 4692 KB Output is correct
3 Correct 28 ms 4688 KB Output is correct
4 Correct 31 ms 4700 KB Output is correct
5 Correct 26 ms 4688 KB Output is correct
6 Correct 24 ms 4436 KB Output is correct
7 Correct 17 ms 3028 KB Output is correct
8 Correct 137 ms 34760 KB Output is correct
9 Correct 130 ms 34812 KB Output is correct
10 Correct 17 ms 2904 KB Output is correct
11 Correct 347 ms 41400 KB Output is correct
12 Correct 340 ms 41296 KB Output is correct
13 Correct 378 ms 80944 KB Output is correct
14 Correct 17 ms 2936 KB Output is correct
15 Correct 681 ms 72268 KB Output is correct
16 Correct 581 ms 41040 KB Output is correct
17 Correct 436 ms 39868 KB Output is correct
18 Correct 435 ms 40020 KB Output is correct
19 Correct 425 ms 54864 KB Output is correct
20 Correct 434 ms 54868 KB Output is correct
21 Correct 174 ms 37704 KB Output is correct
22 Correct 166 ms 36948 KB Output is correct
23 Correct 367 ms 39752 KB Output is correct
24 Correct 411 ms 40172 KB Output is correct
25 Correct 295 ms 37160 KB Output is correct
26 Correct 318 ms 37528 KB Output is correct
27 Correct 299 ms 37204 KB Output is correct

Subtask #12
0 / 17.5

# 결과 실행 시간 메모리 Grader output
1 Correct 18 ms 3016 KB Output is correct
2 Correct 33 ms 4692 KB Output is correct
3 Correct 28 ms 4688 KB Output is correct
4 Correct 31 ms 4700 KB Output is correct
5 Correct 26 ms 4688 KB Output is correct
6 Correct 24 ms 4436 KB Output is correct
7 Correct 17 ms 3028 KB Output is correct
8 Correct 137 ms 34760 KB Output is correct
9 Correct 130 ms 34812 KB Output is correct
10 Correct 17 ms 2904 KB Output is correct
11 Correct 347 ms 41400 KB Output is correct
12 Correct 340 ms 41296 KB Output is correct
13 Correct 378 ms 80944 KB Output is correct
14 Correct 17 ms 2936 KB Output is correct
15 Correct 681 ms 72268 KB Output is correct
16 Correct 581 ms 41040 KB Output is correct
17 Correct 436 ms 39868 KB Output is correct
18 Correct 435 ms 40020 KB Output is correct
19 Correct 425 ms 54864 KB Output is correct
20 Correct 434 ms 54868 KB Output is correct
21 Correct 174 ms 37704 KB Output is correct
22 Correct 166 ms 36948 KB Output is correct
23 Correct 367 ms 39752 KB Output is correct
24 Correct 411 ms 40172 KB Output is correct
25 Correct 295 ms 37160 KB Output is correct
26 Correct 318 ms 37528 KB Output is correct
27 Correct 299 ms 37204 KB Output is correct
28 Correct 19 ms 2904 KB Output is correct
29 Correct 40 ms 4436 KB Output is correct
30 Correct 56 ms 4436 KB Output is correct
31 Correct 45 ms 4180 KB Output is correct
32 Correct 43 ms 4436 KB Output is correct
33 Correct 147 ms 4432 KB Output is correct
34 Correct 17 ms 2908 KB Output is correct
35 Correct 807 ms 35020 KB Output is correct
36 Execution timed out 3567 ms 33412 KB Time limit exceeded
37 Halted 0 ms 0 KB -