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Submission #768790

# Submission time Handle Problem Language Result Execution time Memory
768790 2023-06-28T15:39:10 Z AlesL0 Connecting Supertrees (IOI20_supertrees) C++17
100 / 100
 173 ms 24008 KB 
#include "supertrees.h"
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

vector <ll> P, H;
vector <vector <int>> sol;

ll dsu_find(ll x){
    if (P[x] == x)return x;
    return (P[x] = dsu_find(P[x]));
}

void dsu_union(ll x, ll y){
    x = dsu_find(x), y = dsu_find(y);
    if (x == y)return;
    if (H[x] > H[y])P[y] = x;
    if (H[x] < H[y])P[x] = y;
    if (H[x] == H[y]){
        P[y] = x;
        H[x]++;
    }
}

bool cmp(ll a, ll b){
    return (P[a] < P[b]);
}

bool solve(vector <ll> &v, vector <vector <int>> &p){
    ll n = v.size();
    for (auto x : v){
        P[x] = x;
        H[x] = 0;
    }
    for (int i = 0; i < n; i++){
        for (int j = i+1; j < n; j++)if (p[v[i]][v[j]] == 1)dsu_union(v[i], v[j]);
    }
    for (int i = 0; i < n; i++)P[v[i]] = dsu_find(v[i]);
    for (int i = 0; i < n; i++){
        for (int j = 0; j < n; j++)if (p[v[i]][v[j]] != 1 && P[v[i]] == P[v[j]])return 0;
    }
    sort(v.begin(), v.end(), cmp);
    ll current = 0, coun = 0;
    for (int i = 1; i < n; i++){
        if (P[v[i]] == P[v[i-1]]){
            sol[v[i]][v[i-1]] = 1;
            sol[v[i-1]][v[i]] = 1;
        }
        else {
            sol[v[i]][v[current]] = 1;
            sol[v[current]][v[i]] = 1;
            current = i;
            coun++;
        }
    }
    if (coun == 1)return 0;
    sol[v[current]][v[0]] = 1;
    sol[v[0]][v[current]] = 1;
    return 1;
}

/*void build(vector <vector <int>> b){
    /*for (int i = 0; i < b.size(); i++){
        cerr << endl;
        for (int j = 0; j < b.size(); j++){
            cerr << b[i][j] << " ";
        }
    }
    return;
}*/

int construct(vector <vector <int>> p){
    ll n = p.size();
    for (int i = 0; i < n; i++){
        for (int j = 0; j < n; j++)if (p[i][j] == 3)return 0;
    }
    P.resize(n);
    H.resize(n, 0);
    for (int i = 0; i < n; i++)P[i] = i;
    for (int i = 0; i < n; i++){
        for (int j = 0; j < n; j++)if (p[i][j] > 0)dsu_union(i, j);
    }
    for (int i = 0; i < n; i++)P[i] = dsu_find(i);
    for (int i = 0; i < n; i++){
        for (int j = 0; j < n; j++)if (p[i][j] == 0 && P[i] == P[j])return 0;
    }
    vector <pair<ll, ll>> t(n);
    for (int i = 0; i < n; i++)t[i] = {P[i], i};
    sort(t.begin(), t.end());
    sol.resize(n, vector <int> (n, 0));
    for (int i = 0; i < n; i++){
        P[i] = i;
        H[i] = 0;
    }
    vector <ll> v;
    for (int i = 0; i < n; i++){
        if (i > 0 && t[i].first != t[i-1].first){
            if (!solve(v, p))return 0;
            v.clear();
        }
        v.push_back(t[i].second);
    }
    if (!solve(v, p))return 0;
    for (int i = 0; i < n; i++)sol[i][i] = 0;
    build(sol);
    return 1;
}

/*int main(){
    int n; cin >> n;
    vector <vector <int>> p(n, vector <int> (n));
    for (int i = 0; i < n; i++)for (int j = 0; j < n; j++)cin >> p[i][j];
    cout << construct(p);
}*/

/*
4
1 1 2 2
1 1 2 2
2 2 1 2
2 2 2 1
*/

Compilation message

supertrees.cpp:65:5: warning: "/*" within comment [-Wcomment]
   65 |     /*for (int i = 0; i < b.size(); i++){
      |

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 1108 KB Output is correct
7 Correct 173 ms 22072 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 1108 KB Output is correct
7 Correct 173 ms 22072 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 1192 KB Output is correct
13 Correct 151 ms 22032 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 3 ms 596 KB Output is correct
17 Correct 71 ms 8200 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 38 ms 5724 KB Output is correct
21 Correct 156 ms 22032 KB Output is correct
22 Correct 152 ms 22028 KB Output is correct
23 Correct 160 ms 22032 KB Output is correct
24 Correct 153 ms 21956 KB Output is correct
25 Correct 60 ms 8196 KB Output is correct
26 Correct 60 ms 8140 KB Output is correct
27 Correct 161 ms 22020 KB Output is correct
28 Correct 152 ms 22028 KB Output is correct

Subtask #3
19.0 / 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 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 7 ms 1228 KB Output is correct
9 Correct 151 ms 23924 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 1236 KB Output is correct
13 Correct 156 ms 23944 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 596 KB Output is correct
17 Correct 71 ms 10232 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 304 KB Output is correct
20 Correct 1 ms 300 KB Output is correct
21 Correct 43 ms 6224 KB Output is correct
22 Correct 153 ms 23920 KB Output is correct
23 Correct 153 ms 23936 KB Output is correct
24 Correct 165 ms 24008 KB Output is correct
25 Correct 63 ms 14064 KB Output is correct
26 Correct 61 ms 10060 KB Output is correct
27 Correct 151 ms 23936 KB Output is correct
28 Correct 160 ms 23920 KB Output is correct
29 Correct 64 ms 14068 KB Output is correct

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 42 ms 5872 KB Output is correct
5 Correct 154 ms 22044 KB Output is correct
6 Correct 151 ms 22000 KB Output is correct
7 Correct 165 ms 22220 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 40 ms 5760 KB Output is correct
10 Correct 151 ms 22004 KB Output is correct
11 Correct 155 ms 21968 KB Output is correct
12 Correct 159 ms 22020 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 38 ms 5752 KB Output is correct
17 Correct 153 ms 22020 KB Output is correct
18 Correct 152 ms 22020 KB Output is correct
19 Correct 157 ms 22148 KB Output is correct
20 Correct 150 ms 22092 KB Output is correct

Subtask #5
21.0 / 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 1108 KB Output is correct
7 Correct 173 ms 22072 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 1192 KB Output is correct
13 Correct 151 ms 22032 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 3 ms 596 KB Output is correct
17 Correct 71 ms 8200 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 38 ms 5724 KB Output is correct
21 Correct 156 ms 22032 KB Output is correct
22 Correct 152 ms 22028 KB Output is correct
23 Correct 160 ms 22032 KB Output is correct
24 Correct 153 ms 21956 KB Output is correct
25 Correct 60 ms 8196 KB Output is correct
26 Correct 60 ms 8140 KB Output is correct
27 Correct 161 ms 22020 KB Output is correct
28 Correct 152 ms 22028 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 Correct 0 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 7 ms 1228 KB Output is correct
37 Correct 151 ms 23924 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 7 ms 1236 KB Output is correct
41 Correct 156 ms 23944 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 0 ms 212 KB Output is correct
44 Correct 3 ms 596 KB Output is correct
45 Correct 71 ms 10232 KB Output is correct
46 Correct 0 ms 212 KB Output is correct
47 Correct 0 ms 304 KB Output is correct
48 Correct 1 ms 300 KB Output is correct
49 Correct 43 ms 6224 KB Output is correct
50 Correct 153 ms 23920 KB Output is correct
51 Correct 153 ms 23936 KB Output is correct
52 Correct 165 ms 24008 KB Output is correct
53 Correct 63 ms 14064 KB Output is correct
54 Correct 61 ms 10060 KB Output is correct
55 Correct 151 ms 23936 KB Output is correct
56 Correct 160 ms 23920 KB Output is correct
57 Correct 64 ms 14068 KB Output is correct
58 Correct 1 ms 212 KB Output is correct
59 Correct 1 ms 212 KB Output is correct
60 Correct 3 ms 596 KB Output is correct
61 Correct 69 ms 10108 KB Output is correct
62 Correct 1 ms 296 KB Output is correct
63 Correct 0 ms 212 KB Output is correct
64 Correct 1 ms 212 KB Output is correct
65 Correct 41 ms 6280 KB Output is correct
66 Correct 61 ms 10100 KB Output is correct
67 Correct 62 ms 10096 KB Output is correct
68 Correct 62 ms 10112 KB Output is correct
69 Correct 63 ms 14068 KB Output is correct

Subtask #6
4.0 / 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 1108 KB Output is correct
7 Correct 173 ms 22072 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 1192 KB Output is correct
13 Correct 151 ms 22032 KB Output is correct
14 Correct 0 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 3 ms 596 KB Output is correct
17 Correct 71 ms 8200 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 38 ms 5724 KB Output is correct
21 Correct 156 ms 22032 KB Output is correct
22 Correct 152 ms 22028 KB Output is correct
23 Correct 160 ms 22032 KB Output is correct
24 Correct 153 ms 21956 KB Output is correct
25 Correct 60 ms 8196 KB Output is correct
26 Correct 60 ms 8140 KB Output is correct
27 Correct 161 ms 22020 KB Output is correct
28 Correct 152 ms 22028 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 Correct 0 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 7 ms 1228 KB Output is correct
37 Correct 151 ms 23924 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 7 ms 1236 KB Output is correct
41 Correct 156 ms 23944 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 0 ms 212 KB Output is correct
44 Correct 3 ms 596 KB Output is correct
45 Correct 71 ms 10232 KB Output is correct
46 Correct 0 ms 212 KB Output is correct
47 Correct 0 ms 304 KB Output is correct
48 Correct 1 ms 300 KB Output is correct
49 Correct 43 ms 6224 KB Output is correct
50 Correct 153 ms 23920 KB Output is correct
51 Correct 153 ms 23936 KB Output is correct
52 Correct 165 ms 24008 KB Output is correct
53 Correct 63 ms 14064 KB Output is correct
54 Correct 61 ms 10060 KB Output is correct
55 Correct 151 ms 23936 KB Output is correct
56 Correct 160 ms 23920 KB Output is correct
57 Correct 64 ms 14068 KB Output is correct
58 Correct 0 ms 212 KB Output is correct
59 Correct 0 ms 212 KB Output is correct
60 Correct 0 ms 212 KB Output is correct
61 Correct 42 ms 5872 KB Output is correct
62 Correct 154 ms 22044 KB Output is correct
63 Correct 151 ms 22000 KB Output is correct
64 Correct 165 ms 22220 KB Output is correct
65 Correct 0 ms 212 KB Output is correct
66 Correct 40 ms 5760 KB Output is correct
67 Correct 151 ms 22004 KB Output is correct
68 Correct 155 ms 21968 KB Output is correct
69 Correct 159 ms 22020 KB Output is correct
70 Correct 1 ms 212 KB Output is correct
71 Correct 0 ms 212 KB Output is correct
72 Correct 0 ms 212 KB Output is correct
73 Correct 38 ms 5752 KB Output is correct
74 Correct 153 ms 22020 KB Output is correct
75 Correct 152 ms 22020 KB Output is correct
76 Correct 157 ms 22148 KB Output is correct
77 Correct 150 ms 22092 KB Output is correct
78 Correct 1 ms 212 KB Output is correct
79 Correct 1 ms 212 KB Output is correct
80 Correct 3 ms 596 KB Output is correct
81 Correct 69 ms 10108 KB Output is correct
82 Correct 1 ms 296 KB Output is correct
83 Correct 0 ms 212 KB Output is correct
84 Correct 1 ms 212 KB Output is correct
85 Correct 41 ms 6280 KB Output is correct
86 Correct 61 ms 10100 KB Output is correct
87 Correct 62 ms 10096 KB Output is correct
88 Correct 62 ms 10112 KB Output is correct
89 Correct 63 ms 14068 KB Output is correct
90 Correct 0 ms 212 KB Output is correct
91 Correct 0 ms 212 KB Output is correct
92 Correct 3 ms 596 KB Output is correct
93 Correct 62 ms 10100 KB Output is correct
94 Correct 0 ms 300 KB Output is correct
95 Correct 1 ms 212 KB Output is correct
96 Correct 0 ms 304 KB Output is correct
97 Correct 15 ms 2680 KB Output is correct
98 Correct 59 ms 10100 KB Output is correct
99 Correct 63 ms 10060 KB Output is correct
100 Correct 66 ms 10112 KB Output is correct
101 Correct 59 ms 10108 KB Output is correct
102 Correct 59 ms 10100 KB Output is correct
103 Correct 59 ms 10112 KB Output is correct
104 Correct 59 ms 10096 KB Output is correct
105 Correct 64 ms 10060 KB Output is correct