oj.uz

Submission #379243

# Submission time Handle Problem Language Result Execution time Memory
379243 2021-03-17T15:10:39 Z Sorting Werewolf (IOI18_werewolf) C++17
100 / 100
 764 ms 101352 KB 
#include "werewolf.h"
#include <bits/stdc++.h>

using namespace std;

const int N = 2e5 + 3;
const int LOGN = 19;

vector<int> adj[N], ans, tr[2][N], tour[2];
vector<array<int, 2>> sweepline[N];
int n, q, s[N], e[N], l[N], r[N];
int st[2][N], en[2][N], par[2][N], lca[LOGN][N], pos[N];

struct DSU{
    int sz[N], p[N], head[N];

    DSU(){}
    void init(){
        for(int i = 0; i < n; ++i)
            sz[i] = 1, p[i] = i, head[i] = i;
    }
    int get_p(int x){
        if(x == p[x]) return x;
        return p[x] = get_p(p[x]);
    }
    bool unite(int a, int b, int idx){
        a = get_p(a), b = get_p(b);
        if(a == b) return false;
        if(sz[a] < sz[b]) swap(a, b);
        sz[a] += sz[b];
        p[b] = a;
        if(!idx) head[a] = max(head[a], head[b]);
        else head[a] = min(head[a], head[b]);
        return true;
    }
} dsu;

struct Fenwick{
    int a[N];
    
    Fenwick(){}
    void update(int i){
        for(++i; i < N; i += i&-i)
            a[i] += 1;
    }
    int query(int i){
        int ans = 0;
        for(++i; i >= 1; i -= i&-i)
            ans += a[i];
        return ans;
    }
    int query(int l, int r){
        return query(r) - query(l - 1);
    }
} f;

void euler_tour(int u, int idx){
    st[idx][u] = tour[idx].size();
    tour[idx].push_back(u);
    for(int to: tr[idx][u])
        euler_tour(to, idx);
    en[idx][u] = tour[idx].size() - 1;
}

void do_lca(int idx){
    for(int i = 0; i < n; ++i)
        lca[0][i] = par[idx][i];
    for(int j = 1; j < LOGN; ++j)
        for(int i = 0; i < n; ++i)
            lca[j][i] = lca[j - 1][lca[j - 1][i]];

    for(int i = 0; i < q; ++i){
        if(idx == 0){
            for(int j = LOGN - 1; j >= 0; --j)
                if(lca[j][e[i]] <= r[i])
                    e[i] = lca[j][e[i]];
        }
        else{
            for(int j = LOGN - 1; j >= 0; --j)
                if(lca[j][s[i]] >= l[i])
                    s[i] = lca[j][s[i]];
        }
    }
}

vector<int> check_validity(int _N, vector<int> _X, vector<int> _Y, vector<int> _S, vector<int> _E, vector<int> _L, vector<int> _R){
    n = _N, q = _S.size();
    ans.resize(q, 0);
    for(int i = 0; i < _X.size(); ++i){
        adj[_X[i]].push_back(_Y[i]);
        adj[_Y[i]].push_back(_X[i]);
    }
    for(int i = 0; i < q; ++i)
        s[i] = _S[i], e[i] = _E[i], l[i] = _L[i], r[i] = _R[i];

    dsu.init();
    for(int i = 0; i < n; ++i){
        for(int to: adj[i]){
            int x = dsu.head[dsu.get_p(to)];
            if(to < i && dsu.unite(to, i, 0)){
                tr[0][i].push_back(x);
                par[0][x] = i;
                //cout << "edge0 " << i << " -> " << x << endl;
            }
        }
    }
    par[0][n - 1] = n - 1;

    dsu.init();
    for(int i = n - 1; i >= 0; --i){
        for(int to: adj[i]){
            int x = dsu.head[dsu.get_p(to)];
            if(to > i && dsu.unite(to, i, 1)){
                tr[1][i].push_back(x);
                par[1][x] = i;
                //cout << "edge1 " << i << " -> " << x << endl;
            }
        }
    }
    par[1][0] = 0;

    //cout << "done with dsu" << endl;

    euler_tour(n - 1, 0);
    euler_tour(0, 1);

    //cout << "done with euler_tour" << endl;

    do_lca(0);
    do_lca(1);

    for(int i = 0; i < q; ++i){
        //cout << i << " sweepline" << endl;
        sweepline[st[1][s[i]]].push_back({0, i});
        sweepline[en[1][s[i]] + 1].push_back({1, i});
    }

    for(int i = 0; i < n; ++i){
        //cout << " tour " << tour[0][i] << endl;
        pos[tour[0][i]] = i;
    }

    for(int i = 0; i <= n; ++i){
        //cout << i << endl;
        for(auto [type, idx]: sweepline[i]){
            //cout << type << " " << idx << " type idx" << endl;
            if(!type) ans[idx] = f.query(st[0][e[idx]], en[0][e[idx]]);
            else ans[idx] = !!(f.query(st[0][e[idx]], en[0][e[idx]]) - ans[idx]);
        }
        if(i != n) f.update(pos[tour[1][i]]);
    }

    return ans;
}
/*
6 6 3
5 1
1 2
1 3
3 4
3 0
5 2
4 2 1 2
4 2 2 2
5 4 3 4
*/
/*
2 1 1
0 1
1 0 1 0
*/

Compilation message

werewolf.cpp: In function 'std::vector<int> check_validity(int, std::vector<int>, std::vector<int>, std::vector<int>, std::vector<int>, std::vector<int>, std::vector<int>)':
werewolf.cpp:89:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   89 |     for(int i = 0; i < _X.size(); ++i){
      |                    ~~^~~~~~~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 19308 KB Output is correct
2 Correct 13 ms 19308 KB Output is correct
3 Correct 13 ms 19308 KB Output is correct
4 Correct 13 ms 19308 KB Output is correct
5 Correct 14 ms 19308 KB Output is correct
6 Correct 16 ms 19308 KB Output is correct
7 Correct 13 ms 19308 KB Output is correct
8 Correct 15 ms 19308 KB Output is correct
9 Correct 15 ms 19308 KB Output is correct

Subtask #2
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 19308 KB Output is correct
2 Correct 13 ms 19308 KB Output is correct
3 Correct 13 ms 19308 KB Output is correct
4 Correct 13 ms 19308 KB Output is correct
5 Correct 14 ms 19308 KB Output is correct
6 Correct 16 ms 19308 KB Output is correct
7 Correct 13 ms 19308 KB Output is correct
8 Correct 15 ms 19308 KB Output is correct
9 Correct 15 ms 19308 KB Output is correct
10 Correct 21 ms 20460 KB Output is correct
11 Correct 18 ms 20332 KB Output is correct
12 Correct 19 ms 20460 KB Output is correct
13 Correct 19 ms 20608 KB Output is correct
14 Correct 19 ms 20588 KB Output is correct
15 Correct 20 ms 20460 KB Output is correct

Subtask #3
34.0 / 34.0

# Verdict Execution time Memory Grader output
1 Correct 696 ms 83040 KB Output is correct
2 Correct 704 ms 90928 KB Output is correct
3 Correct 629 ms 87464 KB Output is correct
4 Correct 606 ms 86112 KB Output is correct
5 Correct 595 ms 86252 KB Output is correct
6 Correct 637 ms 87140 KB Output is correct
7 Correct 600 ms 86112 KB Output is correct
8 Correct 613 ms 90980 KB Output is correct
9 Correct 463 ms 86756 KB Output is correct
10 Correct 436 ms 85868 KB Output is correct
11 Correct 450 ms 85612 KB Output is correct
12 Correct 466 ms 85604 KB Output is correct
13 Correct 703 ms 97124 KB Output is correct
14 Correct 696 ms 96996 KB Output is correct
15 Correct 706 ms 96996 KB Output is correct
16 Correct 694 ms 97124 KB Output is correct
17 Correct 614 ms 85988 KB Output is correct

Subtask #4
51.0 / 51.0

# Verdict Execution time Memory Grader output
1 Correct 14 ms 19308 KB Output is correct
2 Correct 13 ms 19308 KB Output is correct
3 Correct 13 ms 19308 KB Output is correct
4 Correct 13 ms 19308 KB Output is correct
5 Correct 14 ms 19308 KB Output is correct
6 Correct 16 ms 19308 KB Output is correct
7 Correct 13 ms 19308 KB Output is correct
8 Correct 15 ms 19308 KB Output is correct
9 Correct 15 ms 19308 KB Output is correct
10 Correct 21 ms 20460 KB Output is correct
11 Correct 18 ms 20332 KB Output is correct
12 Correct 19 ms 20460 KB Output is correct
13 Correct 19 ms 20608 KB Output is correct
14 Correct 19 ms 20588 KB Output is correct
15 Correct 20 ms 20460 KB Output is correct
16 Correct 696 ms 83040 KB Output is correct
17 Correct 704 ms 90928 KB Output is correct
18 Correct 629 ms 87464 KB Output is correct
19 Correct 606 ms 86112 KB Output is correct
20 Correct 595 ms 86252 KB Output is correct
21 Correct 637 ms 87140 KB Output is correct
22 Correct 600 ms 86112 KB Output is correct
23 Correct 613 ms 90980 KB Output is correct
24 Correct 463 ms 86756 KB Output is correct
25 Correct 436 ms 85868 KB Output is correct
26 Correct 450 ms 85612 KB Output is correct
27 Correct 466 ms 85604 KB Output is correct
28 Correct 703 ms 97124 KB Output is correct
29 Correct 696 ms 96996 KB Output is correct
30 Correct 706 ms 96996 KB Output is correct
31 Correct 694 ms 97124 KB Output is correct
32 Correct 614 ms 85988 KB Output is correct
33 Correct 709 ms 88164 KB Output is correct
34 Correct 338 ms 58204 KB Output is correct
35 Correct 734 ms 91656 KB Output is correct
36 Correct 700 ms 88160 KB Output is correct
37 Correct 717 ms 90592 KB Output is correct
38 Correct 695 ms 88928 KB Output is correct
39 Correct 732 ms 101352 KB Output is correct
40 Correct 764 ms 97508 KB Output is correct
41 Correct 551 ms 88544 KB Output is correct
42 Correct 481 ms 85984 KB Output is correct
43 Correct 717 ms 96988 KB Output is correct
44 Correct 617 ms 89856 KB Output is correct
45 Correct 536 ms 100324 KB Output is correct
46 Correct 575 ms 100064 KB Output is correct
47 Correct 699 ms 97140 KB Output is correct
48 Correct 696 ms 96996 KB Output is correct
49 Correct 726 ms 96992 KB Output is correct
50 Correct 720 ms 96912 KB Output is correct
51 Correct 652 ms 97004 KB Output is correct
52 Correct 653 ms 97004 KB Output is correct