oj.uz

Submission #800116

# Submission time Handle Problem Language Result Execution time Memory
800116 2023-08-01T10:22:22 Z PixelCat Connecting Supertrees (IOI20_supertrees) C++14
56 / 100
 173 ms 22092 KB 
#include "supertrees.h"

#ifdef NYAOWO
#include "grader.cpp"
#endif

#include <bits/stdc++.h>
#define For(i, a, b) for(int i = a; i <= b; i++)
#define Forr(i, a, b) for(int i = a; i >= b; i--)
#define F first
#define S second
#define all(x) x.begin(), x.end()
#define sz(x) ((int)x.size())
#define eb emplace_back
// #define int LL
using namespace std;
using LL = long long;
using pii = pair<int, int>;

const int MAXN = 1000;
const int BASE = 7;
const int MOD = 998244353;

vector<vector<int>> answer;
inline void add_edge(int a, int b) {
    answer[a][b] = answer[b][a] = 1;
}

struct DSU {
    int p[MAXN + 10];
    void init() {
        memset(p, -1, sizeof(p));
    }
    int find(int n) {
        if(p[n] < 0) return n;
        return p[n] = find(p[n]);
    }
    bool uni(int a, int b) {
        a = find(a); b = find(b);
        if(a == b) return false;
        p[b] = a;
        return true;
    }
    bool same(int a, int b) {
        return find(a) == find(b);
    }
    bool lead(int n) {
        return p[n] < 0;
    }
} dsu;

bool solve_sun(vector<vector<int>> &p, vector<int> &cc) {
    int n = sz(cc);

    // leave p[i][j] = 1 or 2 only
    for(auto &v1:cc) for(auto &v2:cc) if(v1 != v2) {
        if(p[v1][v2] == 0) return false;
    }

    // phase 1: collect groups of tantacles
    vector<pii> vh;  // {hash, index}
    For(i, 0, n - 1) {
        int h = 0;
        For(j, 0, n - 1) {
            h = (h * BASE + p[cc[i]][cc[j]]) % MOD;
        }
        vh.eb(h, cc[i]);
    }
    sort(all(vh));
    vector<vector<int>> g;
    g.eb();
    g.back().eb(vh[0].S);
    For(i, 1, n - 1) {
        if(vh[i].F != vh[i - 1].F) g.eb();
        g.back().eb(vh[i].S);
    }

    // phase 2-1: link cycle
    For(i, 1, sz(g) - 1) {
        add_edge(g[i].back(), g[i - 1].back());
    }
    add_edge(g.front().back(), g.back().back());

    // phase 2-2: link tantacles
    for(auto &i:g) {
        int rt = i.back();
        i.pop_back();
        for(auto &j:i) {
            add_edge(j, rt);
        }
    }

    return true;
}

int construct(vector<vector<int>> p) {
    int n = sz(p);
    For(i, 0, n - 1) For(j, 0, n - 1) if(p[i][j] == 3) return 0;
    answer = vector<vector<int>>(n, vector<int>(n, 0));

    // phase 1: find all CC
    dsu.init();
    For(i, 0, n - 1) For(j, 0, n - 1) {
        if(p[i][j]) dsu.uni(i, j);
    }
    vector<vector<int>> vcc;
    For(i, 0, n - 1) if(dsu.lead(i)) {
        vcc.eb();
        For(j, 0, n - 1) if(dsu.same(i, j)) {
            vcc.back().eb(j);
        }
    }

    // phase 2: solve for each CC
    for(vector<int> &cc:vcc) if(sz(cc) > 1) {
        int mask = 0;
        for(auto &v1:cc) for(auto &v2:cc) if(v1 != v2) {
            mask |= (1 << p[v1][v2]);
        }
        if(mask & 1) return 0;
        if(mask == 2) {
            int rt = cc.back();
            cc.pop_back();
            for(auto &i:cc) {
                add_edge(i, rt);
            }
        } else {
            if(!solve_sun(p, cc)) return 0;
        }
    }

    build(answer);
    return 1;
}

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 7 ms 1160 KB Output is correct
7 Correct 156 ms 21952 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 7 ms 1160 KB Output is correct
7 Correct 156 ms 21952 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 7 ms 1108 KB Output is correct
13 Correct 156 ms 22092 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 3 ms 724 KB Output is correct
17 Correct 74 ms 12040 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 40 ms 5732 KB Output is correct
21 Correct 157 ms 21984 KB Output is correct
22 Correct 159 ms 21960 KB Output is correct
23 Correct 165 ms 22020 KB Output is correct
24 Correct 158 ms 22020 KB Output is correct
25 Correct 67 ms 12036 KB Output is correct
26 Correct 68 ms 12048 KB Output is correct
27 Correct 164 ms 22028 KB Output is correct
28 Correct 157 ms 22060 KB Output is correct

Subtask #3
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Incorrect 1 ms 288 KB Answer gives possible 1 while actual possible 0
5 Halted 0 ms 0 KB -

Subtask #4
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 39 ms 5708 KB Output is correct
5 Correct 173 ms 21940 KB Output is correct
6 Correct 155 ms 21964 KB Output is correct
7 Correct 161 ms 22020 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 39 ms 5724 KB Output is correct
10 Correct 156 ms 22020 KB Output is correct
11 Correct 158 ms 22036 KB Output is correct
12 Correct 165 ms 22052 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 39 ms 5716 KB Output is correct
17 Correct 156 ms 21968 KB Output is correct
18 Correct 158 ms 21964 KB Output is correct
19 Correct 157 ms 22032 KB Output is correct
20 Correct 156 ms 22036 KB Output is correct

Subtask #5
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 7 ms 1160 KB Output is correct
7 Correct 156 ms 21952 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 7 ms 1108 KB Output is correct
13 Correct 156 ms 22092 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 3 ms 724 KB Output is correct
17 Correct 74 ms 12040 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 40 ms 5732 KB Output is correct
21 Correct 157 ms 21984 KB Output is correct
22 Correct 159 ms 21960 KB Output is correct
23 Correct 165 ms 22020 KB Output is correct
24 Correct 158 ms 22020 KB Output is correct
25 Correct 67 ms 12036 KB Output is correct
26 Correct 68 ms 12048 KB Output is correct
27 Correct 164 ms 22028 KB Output is correct
28 Correct 157 ms 22060 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Incorrect 1 ms 288 KB Answer gives possible 1 while actual possible 0
33 Halted 0 ms 0 KB -

Subtask #6
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 7 ms 1160 KB Output is correct
7 Correct 156 ms 21952 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 7 ms 1108 KB Output is correct
13 Correct 156 ms 22092 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 3 ms 724 KB Output is correct
17 Correct 74 ms 12040 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 40 ms 5732 KB Output is correct
21 Correct 157 ms 21984 KB Output is correct
22 Correct 159 ms 21960 KB Output is correct
23 Correct 165 ms 22020 KB Output is correct
24 Correct 158 ms 22020 KB Output is correct
25 Correct 67 ms 12036 KB Output is correct
26 Correct 68 ms 12048 KB Output is correct
27 Correct 164 ms 22028 KB Output is correct
28 Correct 157 ms 22060 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 0 ms 212 KB Output is correct
32 Incorrect 1 ms 288 KB Answer gives possible 1 while actual possible 0
33 Halted 0 ms 0 KB -