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Submission #721989

# Submission time Handle Problem Language Result Execution time Memory
721989 2023-04-11T09:55:41 Z danikoynov Connecting Supertrees (IOI20_supertrees) C++14
100 / 100
 213 ms 34144 KB 
#include "supertrees.h"
#include <bits/stdc++.h>
using namespace std;
const int maxn = 1010;

vector < int > graph[maxn], graph2[maxn], comp;
int cap[maxn][maxn], spec[maxn];
int used[maxn], N;
vector<vector<int>> answer;

void dfs2(int v)
{
    comp.push_back(v);
    used[v] = 1;
    for (int u : graph2[v])
    {
        if (!used[u])
            dfs2(u);
    }
}

void dfs(int v)
{
    comp.push_back(v);
    used[v] = 1;
    for (int u : graph[v])
    {
        if (!used[u])
            dfs(u);
    }
}

bool solve_2_component()
{
    /**for (int i = 0; i < comp.size(); i ++)
        for (int j = 0; j < comp.size(); j ++)
            if (cap[comp[i]][comp[j]] != 2)
                return false;

    if (comp.size() == 2)
        return false;*/
    if (comp.size() == 1)
        return true;
    for (int v : comp)
        spec[v] = 1;
    answer[comp[0]][comp.back()] = 1;
    answer[comp.back()][comp[0]] = 1;


    for (int i = 0; i < (int)(comp.size()) - 1; i ++)
    {
        answer[comp[i]][comp[i + 1]] = 1;
        answer[comp[i + 1]][comp[i]] = 1;
    }

    /**for (int i = 0; i < comp.size(); i ++)
        for (int j = 0; j < comp.size(); j ++)
            cap[comp[i]][comp[j]] = 0;*/

    return true;

}
int ways[maxn][maxn], vis[maxn];
vector < int > sp[maxn];
void reach(int v, int st)
{
    ways[st][v] ++;
    vis[v] = 1;
    for (int u : sp[v])
    {
        if (!vis[u])
        {
            reach(u, st);
        }
    }
    vis[v] = 0;
}
bool all2;
int nec[maxn];
bool solve_component()
{
    for (int i = 0; i < comp.size(); i ++)
        for (int j = 0; j < comp.size(); j ++)
            if (cap[comp[i]][comp[j]] == 0 || (!all2 && cap[comp[i]][comp[j]] == 2))
                return false;
    memset(nec, 0, sizeof(nec));
    for (int v : comp)
        nec[v] = 1;
    if (comp.size() != 1 && all2)
    {
        if (cap[comp[0]][comp[1]] == 2)
        {
            if (comp.size() == 2)
                return false;
            answer[comp[0]][comp.back()] = 1;
            answer[comp.back()][comp[0]] = 1;
        }
    }

    for (int i = 0; i < (int)(comp.size()) - 1; i ++)
    {
        answer[comp[i]][comp[i + 1]] = 1;
        answer[comp[i + 1]][comp[i]] = 1;
    }

    for (int i = 1; i < comp.size(); i ++)
        for (int j = 0; j < N; j ++)
        {
            if (cap[comp[i]][j] == 2)
            {
                cap[comp[i]][j] = 0;
                cap[j][comp[i]] = 0;
            }


        }

    return true;

}
int construct(std::vector<std::vector<int>> p)
{
    int n = p.size();
    N = n;
    all2 = true;
    for (int i = 0; i < n; i++)
    {
        std::vector<int> row;
        row.resize(n, 0);
        answer.push_back(row);
    }

    for (int i = 0; i < n; i ++)
        for (int j = 0; j < n; j ++)
        {
            if (p[i][j] == 1 && i != j)
                all2 = false;
            cap[i][j] = p[i][j];
        }



    for (int i = 0; i < n; i ++)
        for (int j = 0; j < n; j ++)
        {
            if (i != j && (cap[i][j] == 1 || (cap[i][j] == 2 && all2)))
                graph[i].push_back(j);
        }

    for (int i = 0; i < n; i ++)
    {
        if (!used[i])
        {
            comp.clear();
            dfs(i);
            bool is_fine = solve_component();
            if (!is_fine)
                return 0;
        }
    }
    if (!all2)
    {

        memset(used, 0, sizeof(used));
        for (int i = 0; i < n; i ++)
            for (int j = 0; j < n; j ++)
            {
                if (i != j && cap[i][j] == 2)
                    graph2[i].push_back(j);
            }

        for (int i = 0; i < n; i ++)
        {
            if (!used[i])
            {
                comp.clear();
                dfs2(i);
                bool is_fine = solve_2_component();
                if (!is_fine)
                    return false;
            }
        }
    }

    for (int i = 0; i < n; i ++)
        for (int j = 0; j < n; j ++)
        if (answer[i][j])
        sp[i].push_back(j);
    for (int i = 0; i < n; i ++)
        reach(i, i);

    for (int i = 0; i < n; i ++)
        for (int j = 0; j < n; j ++)
        if (p[i][j] != ways[i][j])
        return false;
    build(answer);
    return 1;
}

Compilation message

supertrees.cpp: In function 'bool solve_component()':
supertrees.cpp:82:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   82 |     for (int i = 0; i < comp.size(); i ++)
      |                     ~~^~~~~~~~~~~~~
supertrees.cpp:83:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   83 |         for (int j = 0; j < comp.size(); j ++)
      |                         ~~^~~~~~~~~~~~~
supertrees.cpp:106:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  106 |     for (int i = 1; i < comp.size(); i ++)
      |                     ~~^~~~~~~~~~~~~

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 10 ms 3028 KB Output is correct
7 Correct 192 ms 34144 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 10 ms 3028 KB Output is correct
7 Correct 192 ms 34144 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 468 KB Output is correct
12 Correct 9 ms 2772 KB Output is correct
13 Correct 179 ms 30048 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 5 ms 1748 KB Output is correct
17 Correct 96 ms 18656 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 47 ms 9876 KB Output is correct
21 Correct 185 ms 30564 KB Output is correct
22 Correct 180 ms 30172 KB Output is correct
23 Correct 197 ms 32096 KB Output is correct
24 Correct 175 ms 29980 KB Output is correct
25 Correct 84 ms 16612 KB Output is correct
26 Correct 82 ms 16104 KB Output is correct
27 Correct 200 ms 33064 KB Output is correct
28 Correct 180 ms 30060 KB Output is correct

Subtask #3
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 0 ms 340 KB Output is correct
5 Correct 0 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 468 KB Output is correct
8 Correct 12 ms 2860 KB Output is correct
9 Correct 183 ms 30060 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 468 KB Output is correct
12 Correct 10 ms 3024 KB Output is correct
13 Correct 207 ms 34124 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 5 ms 1748 KB Output is correct
17 Correct 94 ms 18652 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 1 ms 340 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 50 ms 9836 KB Output is correct
22 Correct 185 ms 30560 KB Output is correct
23 Correct 182 ms 30200 KB Output is correct
24 Correct 199 ms 33136 KB Output is correct
25 Correct 81 ms 16112 KB Output is correct
26 Correct 83 ms 16604 KB Output is correct
27 Correct 178 ms 30048 KB Output is correct
28 Correct 206 ms 32076 KB Output is correct
29 Correct 77 ms 16112 KB Output is correct

Subtask #4
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 53 ms 9808 KB Output is correct
5 Correct 188 ms 30516 KB Output is correct
6 Correct 181 ms 30028 KB Output is correct
7 Correct 202 ms 32092 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 49 ms 9760 KB Output is correct
10 Correct 188 ms 30624 KB Output is correct
11 Correct 182 ms 30080 KB Output is correct
12 Correct 213 ms 33076 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 0 ms 468 KB Output is correct
15 Correct 1 ms 472 KB Output is correct
16 Correct 47 ms 9824 KB Output is correct
17 Correct 186 ms 30572 KB Output is correct
18 Correct 186 ms 30300 KB Output is correct
19 Correct 186 ms 30292 KB Output is correct
20 Correct 183 ms 30188 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 10 ms 3028 KB Output is correct
7 Correct 192 ms 34144 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 468 KB Output is correct
12 Correct 9 ms 2772 KB Output is correct
13 Correct 179 ms 30048 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 5 ms 1748 KB Output is correct
17 Correct 96 ms 18656 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 47 ms 9876 KB Output is correct
21 Correct 185 ms 30564 KB Output is correct
22 Correct 180 ms 30172 KB Output is correct
23 Correct 197 ms 32096 KB Output is correct
24 Correct 175 ms 29980 KB Output is correct
25 Correct 84 ms 16612 KB Output is correct
26 Correct 82 ms 16104 KB Output is correct
27 Correct 200 ms 33064 KB Output is correct
28 Correct 180 ms 30060 KB Output is correct
29 Correct 0 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 0 ms 340 KB Output is correct
33 Correct 0 ms 340 KB Output is correct
34 Correct 0 ms 340 KB Output is correct
35 Correct 1 ms 468 KB Output is correct
36 Correct 12 ms 2860 KB Output is correct
37 Correct 183 ms 30060 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 1 ms 468 KB Output is correct
40 Correct 10 ms 3024 KB Output is correct
41 Correct 207 ms 34124 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 5 ms 1748 KB Output is correct
45 Correct 94 ms 18652 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 1 ms 340 KB Output is correct
48 Correct 1 ms 340 KB Output is correct
49 Correct 50 ms 9836 KB Output is correct
50 Correct 185 ms 30560 KB Output is correct
51 Correct 182 ms 30200 KB Output is correct
52 Correct 199 ms 33136 KB Output is correct
53 Correct 81 ms 16112 KB Output is correct
54 Correct 83 ms 16604 KB Output is correct
55 Correct 178 ms 30048 KB Output is correct
56 Correct 206 ms 32076 KB Output is correct
57 Correct 77 ms 16112 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 1 ms 468 KB Output is correct
60 Correct 5 ms 1748 KB Output is correct
61 Correct 95 ms 18288 KB Output is correct
62 Correct 1 ms 388 KB Output is correct
63 Correct 1 ms 392 KB Output is correct
64 Correct 1 ms 468 KB Output is correct
65 Correct 47 ms 9892 KB Output is correct
66 Correct 93 ms 22604 KB Output is correct
67 Correct 86 ms 18132 KB Output is correct
68 Correct 93 ms 22240 KB Output is correct
69 Correct 89 ms 21988 KB Output is correct

Subtask #6
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 468 KB Output is correct
6 Correct 10 ms 3028 KB Output is correct
7 Correct 192 ms 34144 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 0 ms 468 KB Output is correct
12 Correct 9 ms 2772 KB Output is correct
13 Correct 179 ms 30048 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 5 ms 1748 KB Output is correct
17 Correct 96 ms 18656 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 0 ms 340 KB Output is correct
20 Correct 47 ms 9876 KB Output is correct
21 Correct 185 ms 30564 KB Output is correct
22 Correct 180 ms 30172 KB Output is correct
23 Correct 197 ms 32096 KB Output is correct
24 Correct 175 ms 29980 KB Output is correct
25 Correct 84 ms 16612 KB Output is correct
26 Correct 82 ms 16104 KB Output is correct
27 Correct 200 ms 33064 KB Output is correct
28 Correct 180 ms 30060 KB Output is correct
29 Correct 0 ms 340 KB Output is correct
30 Correct 1 ms 340 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 0 ms 340 KB Output is correct
33 Correct 0 ms 340 KB Output is correct
34 Correct 0 ms 340 KB Output is correct
35 Correct 1 ms 468 KB Output is correct
36 Correct 12 ms 2860 KB Output is correct
37 Correct 183 ms 30060 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 1 ms 468 KB Output is correct
40 Correct 10 ms 3024 KB Output is correct
41 Correct 207 ms 34124 KB Output is correct
42 Correct 1 ms 340 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 5 ms 1748 KB Output is correct
45 Correct 94 ms 18652 KB Output is correct
46 Correct 1 ms 340 KB Output is correct
47 Correct 1 ms 340 KB Output is correct
48 Correct 1 ms 340 KB Output is correct
49 Correct 50 ms 9836 KB Output is correct
50 Correct 185 ms 30560 KB Output is correct
51 Correct 182 ms 30200 KB Output is correct
52 Correct 199 ms 33136 KB Output is correct
53 Correct 81 ms 16112 KB Output is correct
54 Correct 83 ms 16604 KB Output is correct
55 Correct 178 ms 30048 KB Output is correct
56 Correct 206 ms 32076 KB Output is correct
57 Correct 77 ms 16112 KB Output is correct
58 Correct 1 ms 340 KB Output is correct
59 Correct 1 ms 340 KB Output is correct
60 Correct 1 ms 340 KB Output is correct
61 Correct 53 ms 9808 KB Output is correct
62 Correct 188 ms 30516 KB Output is correct
63 Correct 181 ms 30028 KB Output is correct
64 Correct 202 ms 32092 KB Output is correct
65 Correct 1 ms 340 KB Output is correct
66 Correct 49 ms 9760 KB Output is correct
67 Correct 188 ms 30624 KB Output is correct
68 Correct 182 ms 30080 KB Output is correct
69 Correct 213 ms 33076 KB Output is correct
70 Correct 1 ms 340 KB Output is correct
71 Correct 0 ms 468 KB Output is correct
72 Correct 1 ms 472 KB Output is correct
73 Correct 47 ms 9824 KB Output is correct
74 Correct 186 ms 30572 KB Output is correct
75 Correct 186 ms 30300 KB Output is correct
76 Correct 186 ms 30292 KB Output is correct
77 Correct 183 ms 30188 KB Output is correct
78 Correct 1 ms 340 KB Output is correct
79 Correct 1 ms 468 KB Output is correct
80 Correct 5 ms 1748 KB Output is correct
81 Correct 95 ms 18288 KB Output is correct
82 Correct 1 ms 388 KB Output is correct
83 Correct 1 ms 392 KB Output is correct
84 Correct 1 ms 468 KB Output is correct
85 Correct 47 ms 9892 KB Output is correct
86 Correct 93 ms 22604 KB Output is correct
87 Correct 86 ms 18132 KB Output is correct
88 Correct 93 ms 22240 KB Output is correct
89 Correct 89 ms 21988 KB Output is correct
90 Correct 1 ms 340 KB Output is correct
91 Correct 1 ms 396 KB Output is correct
92 Correct 5 ms 1748 KB Output is correct
93 Correct 93 ms 19400 KB Output is correct
94 Correct 1 ms 392 KB Output is correct
95 Correct 1 ms 468 KB Output is correct
96 Correct 1 ms 392 KB Output is correct
97 Correct 24 ms 7832 KB Output is correct
98 Correct 95 ms 22616 KB Output is correct
99 Correct 94 ms 22348 KB Output is correct
100 Correct 87 ms 22220 KB Output is correct
101 Correct 84 ms 21976 KB Output is correct
102 Correct 88 ms 22096 KB Output is correct
103 Correct 126 ms 24544 KB Output is correct
104 Correct 111 ms 24528 KB Output is correct
105 Correct 91 ms 22092 KB Output is correct